Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(94,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.94");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.f (of order \(3\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 94.9 | ||
Character | \(\chi\) | \(=\) | 403.94 |
Dual form | 403.2.f.b.373.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0205421 | + | 0.0355799i | 0.0145254 | + | 0.0251588i | 0.873197 | − | 0.487368i | \(-0.162043\pi\) |
−0.858671 | + | 0.512527i | \(0.828710\pi\) | |||||||
\(3\) | −1.04665 | − | 1.81285i | −0.604285 | − | 1.04665i | −0.992164 | − | 0.124942i | \(-0.960126\pi\) |
0.387879 | − | 0.921710i | \(-0.373208\pi\) | |||||||
\(4\) | 0.999156 | − | 1.73059i | 0.499578 | − | 0.865295i | ||||
\(5\) | 1.98920 | 0.889595 | 0.444798 | − | 0.895631i | \(-0.353276\pi\) | ||||
0.444798 | + | 0.895631i | \(0.353276\pi\) | |||||||
\(6\) | 0.0430008 | − | 0.0744796i | 0.0175550 | − | 0.0304062i | ||||
\(7\) | 1.34392 | − | 2.32775i | 0.507956 | − | 0.879805i | −0.492002 | − | 0.870594i | \(-0.663735\pi\) |
0.999958 | − | 0.00921113i | \(-0.00293203\pi\) | |||||||
\(8\) | 0.164267 | 0.0580772 | ||||||||
\(9\) | −0.690959 | + | 1.19678i | −0.230320 | + | 0.398926i | ||||
\(10\) | 0.0408622 | + | 0.0707754i | 0.0129218 | + | 0.0223811i | ||||
\(11\) | 1.80430 | + | 3.12515i | 0.544018 | + | 0.942267i | 0.998668 | + | 0.0515967i | \(0.0164310\pi\) |
−0.454650 | + | 0.890670i | \(0.650236\pi\) | |||||||
\(12\) | −4.18307 | −1.20755 | ||||||||
\(13\) | 3.58758 | − | 0.359560i | 0.995015 | − | 0.0997240i | ||||
\(14\) | 0.110428 | 0.0295131 | ||||||||
\(15\) | −2.08199 | − | 3.60612i | −0.537569 | − | 0.931096i | ||||
\(16\) | −1.99494 | − | 3.45533i | −0.498734 | − | 0.863833i | ||||
\(17\) | −3.50423 | + | 6.06950i | −0.849901 | + | 1.47207i | 0.0313957 | + | 0.999507i | \(0.490005\pi\) |
−0.881296 | + | 0.472564i | \(0.843329\pi\) | |||||||
\(18\) | −0.0567750 | −0.0133820 | ||||||||
\(19\) | 0.0170007 | − | 0.0294461i | 0.00390023 | − | 0.00675539i | −0.864069 | − | 0.503374i | \(-0.832092\pi\) |
0.867969 | + | 0.496619i | \(0.165425\pi\) | |||||||
\(20\) | 1.98752 | − | 3.44248i | 0.444422 | − | 0.769762i | ||||
\(21\) | −5.62648 | −1.22780 | ||||||||
\(22\) | −0.0741283 | + | 0.128394i | −0.0158042 | + | 0.0273737i | ||||
\(23\) | −1.38334 | − | 2.39602i | −0.288447 | − | 0.499605i | 0.684992 | − | 0.728550i | \(-0.259806\pi\) |
−0.973439 | + | 0.228946i | \(0.926472\pi\) | |||||||
\(24\) | −0.171931 | − | 0.297793i | −0.0350952 | − | 0.0607866i | ||||
\(25\) | −1.04310 | −0.208620 | ||||||||
\(26\) | 0.0864894 | + | 0.120260i | 0.0169620 | + | 0.0235849i | ||||
\(27\) | −3.38713 | −0.651854 | ||||||||
\(28\) | −2.68558 | − | 4.65156i | −0.507527 | − | 0.879063i | ||||
\(29\) | 3.00345 | + | 5.20213i | 0.557727 | + | 0.966012i | 0.997686 | + | 0.0679937i | \(0.0216598\pi\) |
−0.439959 | + | 0.898018i | \(0.645007\pi\) | |||||||
\(30\) | 0.0855370 | − | 0.148154i | 0.0156168 | − | 0.0270492i | ||||
\(31\) | −1.00000 | −0.179605 | ||||||||
\(32\) | 0.246228 | − | 0.426479i | 0.0435273 | − | 0.0753915i | ||||
\(33\) | 3.77695 | − | 6.54188i | 0.657483 | − | 1.13879i | ||||
\(34\) | −0.287937 | −0.0493807 | ||||||||
\(35\) | 2.67333 | − | 4.63034i | 0.451875 | − | 0.782671i | ||||
\(36\) | 1.38075 | + | 2.39153i | 0.230125 | + | 0.398589i | ||||
\(37\) | 0.429975 | + | 0.744738i | 0.0706874 | + | 0.122434i | 0.899203 | − | 0.437532i | \(-0.144147\pi\) |
−0.828515 | + | 0.559966i | \(0.810814\pi\) | |||||||
\(38\) | 0.00139692 | 0.000226610 | ||||||||
\(39\) | −4.40677 | − | 6.12742i | −0.705649 | − | 0.981173i | ||||
\(40\) | 0.326760 | 0.0516652 | ||||||||
\(41\) | 0.0394506 | + | 0.0683304i | 0.00616115 | + | 0.0106714i | 0.869090 | − | 0.494655i | \(-0.164705\pi\) |
−0.862928 | + | 0.505326i | \(0.831372\pi\) | |||||||
\(42\) | −0.115580 | − | 0.200190i | −0.0178343 | − | 0.0308900i | ||||
\(43\) | 0.629228 | − | 1.08985i | 0.0959564 | − | 0.166201i | −0.814051 | − | 0.580793i | \(-0.802742\pi\) |
0.910007 | + | 0.414592i | \(0.136076\pi\) | |||||||
\(44\) | 7.21112 | 1.08712 | ||||||||
\(45\) | −1.37445 | + | 2.38062i | −0.204891 | + | 0.354882i | ||||
\(46\) | 0.0568335 | − | 0.0984384i | 0.00837964 | − | 0.0145140i | ||||
\(47\) | −6.99256 | −1.01997 | −0.509985 | − | 0.860183i | \(-0.670349\pi\) | ||||
−0.509985 | + | 0.860183i | \(0.670349\pi\) | |||||||
\(48\) | −4.17601 | + | 7.23306i | −0.602755 | + | 1.04400i | ||||
\(49\) | −0.112268 | − | 0.194454i | −0.0160383 | − | 0.0277792i | ||||
\(50\) | −0.0214275 | − | 0.0371135i | −0.00303030 | − | 0.00524864i | ||||
\(51\) | 14.6708 | 2.05433 | ||||||||
\(52\) | 2.96230 | − | 6.56788i | 0.410797 | − | 0.910801i | ||||
\(53\) | −3.93927 | −0.541101 | −0.270550 | − | 0.962706i | \(-0.587206\pi\) | ||||
−0.270550 | + | 0.962706i | \(0.587206\pi\) | |||||||
\(54\) | −0.0695788 | − | 0.120514i | −0.00946847 | − | 0.0163999i | ||||
\(55\) | 3.58911 | + | 6.21652i | 0.483956 | + | 0.838236i | ||||
\(56\) | 0.220763 | − | 0.382373i | 0.0295007 | − | 0.0510967i | ||||
\(57\) | −0.0711753 | −0.00942739 | ||||||||
\(58\) | −0.123394 | + | 0.213725i | −0.0162025 | + | 0.0280635i | ||||
\(59\) | 1.76441 | − | 3.05605i | 0.229707 | − | 0.397864i | −0.728014 | − | 0.685562i | \(-0.759557\pi\) |
0.957721 | + | 0.287698i | \(0.0928900\pi\) | |||||||
\(60\) | −8.32095 | −1.07423 | ||||||||
\(61\) | −2.35604 | + | 4.08078i | −0.301660 | + | 0.522490i | −0.976512 | − | 0.215463i | \(-0.930874\pi\) |
0.674852 | + | 0.737953i | \(0.264207\pi\) | |||||||
\(62\) | −0.0205421 | − | 0.0355799i | −0.00260885 | − | 0.00451865i | ||||
\(63\) | 1.85719 | + | 3.21676i | 0.233985 | + | 0.405273i | ||||
\(64\) | −7.95952 | −0.994940 | ||||||||
\(65\) | 7.13639 | − | 0.715235i | 0.885161 | − | 0.0887140i | ||||
\(66\) | 0.310346 | 0.0382009 | ||||||||
\(67\) | 4.85878 | + | 8.41565i | 0.593594 | + | 1.02814i | 0.993744 | + | 0.111685i | \(0.0356248\pi\) |
−0.400150 | + | 0.916450i | \(0.631042\pi\) | |||||||
\(68\) | 7.00255 | + | 12.1288i | 0.849183 | + | 1.47083i | ||||
\(69\) | −2.89576 | + | 5.01560i | −0.348608 | + | 0.603807i | ||||
\(70\) | 0.219663 | 0.0262547 | ||||||||
\(71\) | −2.26972 | + | 3.93127i | −0.269366 | + | 0.466556i | −0.968698 | − | 0.248241i | \(-0.920147\pi\) |
0.699332 | + | 0.714797i | \(0.253481\pi\) | |||||||
\(72\) | −0.113502 | + | 0.196591i | −0.0133763 | + | 0.0231685i | ||||
\(73\) | −0.0228577 | −0.00267530 | −0.00133765 | − | 0.999999i | \(-0.500426\pi\) | ||||
−0.00133765 | + | 0.999999i | \(0.500426\pi\) | |||||||
\(74\) | −0.0176651 | + | 0.0305969i | −0.00205353 | + | 0.00355682i | ||||
\(75\) | 1.09176 | + | 1.89099i | 0.126066 | + | 0.218353i | ||||
\(76\) | −0.0339727 | − | 0.0588425i | −0.00389694 | − | 0.00674969i | ||||
\(77\) | 9.69939 | 1.10535 | ||||||||
\(78\) | 0.127489 | − | 0.282663i | 0.0144353 | − | 0.0320052i | ||||
\(79\) | 12.1483 | 1.36680 | 0.683398 | − | 0.730046i | \(-0.260501\pi\) | ||||
0.683398 | + | 0.730046i | \(0.260501\pi\) | |||||||
\(80\) | −3.96832 | − | 6.87333i | −0.443672 | − | 0.768462i | ||||
\(81\) | 5.61803 | + | 9.73071i | 0.624225 | + | 1.08119i | ||||
\(82\) | −0.00162079 | + | 0.00280730i | −0.000178987 | + | 0.000310014i | ||||
\(83\) | 5.82781 | 0.639685 | 0.319842 | − | 0.947471i | \(-0.396370\pi\) | ||||
0.319842 | + | 0.947471i | \(0.396370\pi\) | |||||||
\(84\) | −5.62174 | + | 9.73713i | −0.613382 | + | 1.06241i | ||||
\(85\) | −6.97060 | + | 12.0734i | −0.756068 | + | 1.30955i | ||||
\(86\) | 0.0517026 | 0.00557523 | ||||||||
\(87\) | 6.28714 | − | 10.8896i | 0.674052 | − | 1.16749i | ||||
\(88\) | 0.296388 | + | 0.513359i | 0.0315951 | + | 0.0547243i | ||||
\(89\) | 1.19024 | + | 2.06155i | 0.126165 | + | 0.218524i | 0.922188 | − | 0.386743i | \(-0.126400\pi\) |
−0.796023 | + | 0.605267i | \(0.793067\pi\) | |||||||
\(90\) | −0.112936 | −0.0119046 | ||||||||
\(91\) | 3.98447 | − | 8.83419i | 0.417686 | − | 0.926075i | ||||
\(92\) | −5.52870 | −0.576407 | ||||||||
\(93\) | 1.04665 | + | 1.81285i | 0.108533 | + | 0.187984i | ||||
\(94\) | −0.143642 | − | 0.248795i | −0.0148155 | − | 0.0256612i | ||||
\(95\) | 0.0338177 | − | 0.0585740i | 0.00346962 | − | 0.00600957i | ||||
\(96\) | −1.03086 | −0.105212 | ||||||||
\(97\) | 1.56790 | − | 2.71568i | 0.159196 | − | 0.275735i | −0.775383 | − | 0.631491i | \(-0.782443\pi\) |
0.934579 | + | 0.355756i | \(0.115777\pi\) | |||||||
\(98\) | 0.00461244 | − | 0.00798899i | 0.000465927 | − | 0.000807009i | ||||
\(99\) | −4.98680 | −0.501192 | ||||||||
\(100\) | −1.04222 | + | 1.80518i | −0.104222 | + | 0.180518i | ||||
\(101\) | 8.99882 | + | 15.5864i | 0.895416 | + | 1.55091i | 0.833289 | + | 0.552837i | \(0.186455\pi\) |
0.0621265 | + | 0.998068i | \(0.480212\pi\) | |||||||
\(102\) | 0.301369 | + | 0.521987i | 0.0298400 | + | 0.0516844i | ||||
\(103\) | −6.56844 | −0.647208 | −0.323604 | − | 0.946193i | \(-0.604895\pi\) | ||||
−0.323604 | + | 0.946193i | \(0.604895\pi\) | |||||||
\(104\) | 0.589322 | − | 0.0590639i | 0.0577877 | − | 0.00579170i | ||||
\(105\) | −11.1922 | −1.09224 | ||||||||
\(106\) | −0.0809208 | − | 0.140159i | −0.00785973 | − | 0.0136134i | ||||
\(107\) | −7.96611 | − | 13.7977i | −0.770113 | − | 1.33387i | −0.937501 | − | 0.347983i | \(-0.886867\pi\) |
0.167388 | − | 0.985891i | \(-0.446467\pi\) | |||||||
\(108\) | −3.38428 | + | 5.86174i | −0.325652 | + | 0.564046i | ||||
\(109\) | −20.3376 | −1.94799 | −0.973995 | − | 0.226568i | \(-0.927249\pi\) | ||||
−0.973995 | + | 0.226568i | \(0.927249\pi\) | |||||||
\(110\) | −0.147456 | + | 0.255401i | −0.0140593 | + | 0.0243515i | ||||
\(111\) | 0.900068 | − | 1.55896i | 0.0854306 | − | 0.147970i | ||||
\(112\) | −10.7242 | −1.01334 | ||||||||
\(113\) | 0.264425 | − | 0.457998i | 0.0248750 | − | 0.0430848i | −0.853320 | − | 0.521388i | \(-0.825415\pi\) |
0.878195 | + | 0.478303i | \(0.158748\pi\) | |||||||
\(114\) | −0.00146209 | − | 0.00253241i | −0.000136937 | − | 0.000237182i | ||||
\(115\) | −2.75174 | − | 4.76615i | −0.256601 | − | 0.444446i | ||||
\(116\) | 12.0037 | 1.11451 | ||||||||
\(117\) | −2.04856 | + | 4.54197i | −0.189389 | + | 0.419905i | ||||
\(118\) | 0.144979 | 0.0133464 | ||||||||
\(119\) | 9.41884 | + | 16.3139i | 0.863424 | + | 1.49549i | ||||
\(120\) | −0.342004 | − | 0.592368i | −0.0312205 | − | 0.0540755i | ||||
\(121\) | −1.01102 | + | 1.75114i | −0.0919112 | + | 0.159195i | ||||
\(122\) | −0.193592 | −0.0175270 | ||||||||
\(123\) | 0.0825821 | − | 0.143036i | 0.00744617 | − | 0.0128972i | ||||
\(124\) | −0.999156 | + | 1.73059i | −0.0897269 | + | 0.155411i | ||||
\(125\) | −12.0209 | −1.07518 | ||||||||
\(126\) | −0.0763013 | + | 0.132158i | −0.00679746 | + | 0.0117735i | ||||
\(127\) | −5.01410 | − | 8.68468i | −0.444930 | − | 0.770641i | 0.553118 | − | 0.833103i | \(-0.313438\pi\) |
−0.998047 | + | 0.0624622i | \(0.980105\pi\) | |||||||
\(128\) | −0.655960 | − | 1.13616i | −0.0579792 | − | 0.100423i | ||||
\(129\) | −2.63433 | −0.231940 | ||||||||
\(130\) | 0.172044 | + | 0.239220i | 0.0150893 | + | 0.0209810i | ||||
\(131\) | 12.3846 | 1.08205 | 0.541023 | − | 0.841008i | \(-0.318037\pi\) | ||||
0.541023 | + | 0.841008i | \(0.318037\pi\) | |||||||
\(132\) | −7.54753 | − | 13.0727i | −0.656929 | − | 1.13783i | ||||
\(133\) | −0.0456953 | − | 0.0791466i | −0.00396229 | − | 0.00686288i | ||||
\(134\) | −0.199619 | + | 0.345750i | −0.0172444 | + | 0.0298682i | ||||
\(135\) | −6.73767 | −0.579887 | ||||||||
\(136\) | −0.575630 | + | 0.997021i | −0.0493599 | + | 0.0854938i | ||||
\(137\) | 8.14811 | − | 14.1129i | 0.696140 | − | 1.20575i | −0.273655 | − | 0.961828i | \(-0.588233\pi\) |
0.969795 | − | 0.243921i | \(-0.0784339\pi\) | |||||||
\(138\) | −0.237939 | −0.0202547 | ||||||||
\(139\) | 9.61802 | − | 16.6589i | 0.815789 | − | 1.41299i | −0.0929702 | − | 0.995669i | \(-0.529636\pi\) |
0.908760 | − | 0.417320i | \(-0.137031\pi\) | |||||||
\(140\) | −5.34215 | − | 9.25287i | −0.451494 | − | 0.782010i | ||||
\(141\) | 7.31878 | + | 12.6765i | 0.616352 | + | 1.06755i | ||||
\(142\) | −0.186499 | −0.0156506 | ||||||||
\(143\) | 7.59676 | + | 10.5629i | 0.635273 | + | 0.883318i | ||||
\(144\) | 5.51368 | 0.459474 | ||||||||
\(145\) | 5.97445 | + | 10.3481i | 0.496151 | + | 0.859359i | ||||
\(146\) | −0.000469545 | 0 | 0.000813277i | −3.88599e−5 | 0 | 6.73072e-5i | ||||
\(147\) | −0.235011 | + | 0.407052i | −0.0193834 | + | 0.0335730i | ||||
\(148\) | 1.71845 | 0.141256 | ||||||||
\(149\) | 6.43875 | − | 11.1522i | 0.527483 | − | 0.913627i | −0.472004 | − | 0.881596i | \(-0.656469\pi\) |
0.999487 | − | 0.0320306i | \(-0.0101974\pi\) | |||||||
\(150\) | −0.0448542 | + | 0.0776898i | −0.00366233 | + | 0.00634335i | ||||
\(151\) | −5.70708 | −0.464435 | −0.232218 | − | 0.972664i | \(-0.574598\pi\) | ||||
−0.232218 | + | 0.972664i | \(0.574598\pi\) | |||||||
\(152\) | 0.00279266 | − | 0.00483703i | 0.000226515 | − | 0.000392335i | ||||
\(153\) | −4.84256 | − | 8.38756i | −0.391498 | − | 0.678094i | ||||
\(154\) | 0.199246 | + | 0.345104i | 0.0160557 | + | 0.0278092i | ||||
\(155\) | −1.98920 | −0.159776 | ||||||||
\(156\) | −15.0071 | + | 1.50407i | −1.20153 | + | 0.120422i | ||||
\(157\) | 0.897113 | 0.0715974 | 0.0357987 | − | 0.999359i | \(-0.488602\pi\) | ||||
0.0357987 | + | 0.999359i | \(0.488602\pi\) | |||||||
\(158\) | 0.249552 | + | 0.432237i | 0.0198533 | + | 0.0343869i | ||||
\(159\) | 4.12305 | + | 7.14132i | 0.326979 | + | 0.566344i | ||||
\(160\) | 0.489795 | − | 0.848349i | 0.0387217 | − | 0.0670679i | ||||
\(161\) | −7.43643 | −0.586073 | ||||||||
\(162\) | −0.230812 | + | 0.399778i | −0.0181343 | + | 0.0314095i | ||||
\(163\) | 9.57684 | − | 16.5876i | 0.750116 | − | 1.29924i | −0.197651 | − | 0.980273i | \(-0.563331\pi\) |
0.947766 | − | 0.318966i | \(-0.103336\pi\) | |||||||
\(164\) | 0.157669 | 0.0123119 | ||||||||
\(165\) | 7.51310 | − | 13.0131i | 0.584894 | − | 1.01307i | ||||
\(166\) | 0.119715 | + | 0.207353i | 0.00929170 | + | 0.0160937i | ||||
\(167\) | −3.80717 | − | 6.59421i | −0.294607 | − | 0.510275i | 0.680286 | − | 0.732947i | \(-0.261856\pi\) |
−0.974894 | + | 0.222672i | \(0.928522\pi\) | |||||||
\(168\) | −0.924247 | −0.0713072 | ||||||||
\(169\) | 12.7414 | − | 2.57990i | 0.980110 | − | 0.198454i | ||||
\(170\) | −0.572762 | −0.0439289 | ||||||||
\(171\) | 0.0234936 | + | 0.0406921i | 0.00179660 | + | 0.00311180i | ||||
\(172\) | −1.25739 | − | 2.17787i | −0.0958754 | − | 0.166061i | ||||
\(173\) | −1.58810 | + | 2.75068i | −0.120741 | + | 0.209130i | −0.920060 | − | 0.391777i | \(-0.871860\pi\) |
0.799319 | + | 0.600907i | \(0.205194\pi\) | |||||||
\(174\) | 0.516603 | 0.0391636 | ||||||||
\(175\) | −1.40185 | + | 2.42808i | −0.105970 | + | 0.183545i | ||||
\(176\) | 7.19895 | − | 12.4689i | 0.542641 | − | 0.939882i | ||||
\(177\) | −7.38689 | −0.555233 | ||||||||
\(178\) | −0.0488999 | + | 0.0846970i | −0.00366520 | + | 0.00634831i | ||||
\(179\) | 12.8532 | + | 22.2624i | 0.960692 | + | 1.66397i | 0.720768 | + | 0.693176i | \(0.243789\pi\) |
0.239924 | + | 0.970792i | \(0.422877\pi\) | |||||||
\(180\) | 2.74659 | + | 4.75723i | 0.204718 | + | 0.354583i | ||||
\(181\) | −1.20564 | −0.0896148 | −0.0448074 | − | 0.998996i | \(-0.514267\pi\) | ||||
−0.0448074 | + | 0.998996i | \(0.514267\pi\) | |||||||
\(182\) | 0.396169 | − | 0.0397055i | 0.0293660 | − | 0.00294317i | ||||
\(183\) | 9.86381 | 0.729154 | ||||||||
\(184\) | −0.227238 | − | 0.393588i | −0.0167522 | − | 0.0290157i | ||||
\(185\) | 0.855304 | + | 1.48143i | 0.0628832 | + | 0.108917i | ||||
\(186\) | −0.0430008 | + | 0.0744796i | −0.00315297 | + | 0.00546111i | ||||
\(187\) | −25.2908 | −1.84945 | ||||||||
\(188\) | −6.98666 | + | 12.1013i | −0.509555 | + | 0.882574i | ||||
\(189\) | −4.55205 | + | 7.88439i | −0.331113 | + | 0.573505i | ||||
\(190\) | 0.00277874 | 0.000201591 | ||||||||
\(191\) | 9.96159 | − | 17.2540i | 0.720795 | − | 1.24845i | −0.239886 | − | 0.970801i | \(-0.577110\pi\) |
0.960681 | − | 0.277653i | \(-0.0895566\pi\) | |||||||
\(192\) | 8.33084 | + | 14.4294i | 0.601227 | + | 1.04136i | ||||
\(193\) | 12.9336 | + | 22.4016i | 0.930980 | + | 1.61250i | 0.781650 | + | 0.623717i | \(0.214378\pi\) |
0.149330 | + | 0.988787i | \(0.452288\pi\) | |||||||
\(194\) | 0.128832 | 0.00924957 | ||||||||
\(195\) | −8.76593 | − | 12.1886i | −0.627742 | − | 0.872846i | ||||
\(196\) | −0.448694 | −0.0320496 | ||||||||
\(197\) | −6.04285 | − | 10.4665i | −0.430535 | − | 0.745708i | 0.566384 | − | 0.824141i | \(-0.308342\pi\) |
−0.996919 | + | 0.0784327i | \(0.975008\pi\) | |||||||
\(198\) | −0.102439 | − | 0.177430i | −0.00728004 | − | 0.0126094i | ||||
\(199\) | −8.57853 | + | 14.8584i | −0.608116 | + | 1.05329i | 0.383435 | + | 0.923568i | \(0.374741\pi\) |
−0.991551 | + | 0.129719i | \(0.958592\pi\) | |||||||
\(200\) | −0.171348 | −0.0121161 | ||||||||
\(201\) | 10.1709 | − | 17.6165i | 0.717399 | − | 1.24257i | ||||
\(202\) | −0.369709 | + | 0.640354i | −0.0260126 | + | 0.0450552i | ||||
\(203\) | 16.1457 | 1.13320 | ||||||||
\(204\) | 14.6585 | − | 25.3892i | 1.02630 | − | 1.77760i | ||||
\(205\) | 0.0784750 | + | 0.135923i | 0.00548093 | + | 0.00949325i | ||||
\(206\) | −0.134929 | − | 0.233705i | −0.00940098 | − | 0.0162830i | ||||
\(207\) | 3.82333 | 0.265740 | ||||||||
\(208\) | −8.39939 | − | 11.6790i | −0.582393 | − | 0.809791i | ||||
\(209\) | 0.122698 | 0.00848718 | ||||||||
\(210\) | −0.229911 | − | 0.398217i | −0.0158653 | − | 0.0274796i | ||||
\(211\) | −9.17184 | − | 15.8861i | −0.631415 | − | 1.09364i | −0.987263 | − | 0.159099i | \(-0.949141\pi\) |
0.355847 | − | 0.934544i | \(-0.384192\pi\) | |||||||
\(212\) | −3.93595 | + | 6.81726i | −0.270322 | + | 0.468211i | ||||
\(213\) | 9.50242 | 0.651095 | ||||||||
\(214\) | 0.327281 | − | 0.566867i | 0.0223725 | − | 0.0387502i | ||||
\(215\) | 1.25166 | − | 2.16793i | 0.0853623 | − | 0.147852i | ||||
\(216\) | −0.556395 | −0.0378579 | ||||||||
\(217\) | −1.34392 | + | 2.32775i | −0.0912316 | + | 0.158018i | ||||
\(218\) | −0.417777 | − | 0.723611i | −0.0282954 | − | 0.0490091i | ||||
\(219\) | 0.0239241 | + | 0.0414377i | 0.00161664 | + | 0.00280010i | ||||
\(220\) | 14.3443 | 0.967095 | ||||||||
\(221\) | −10.3893 | + | 23.0348i | −0.698863 | + | 1.54949i | ||||
\(222\) | 0.0739570 | 0.00496367 | ||||||||
\(223\) | −3.31293 | − | 5.73817i | −0.221850 | − | 0.384256i | 0.733520 | − | 0.679668i | \(-0.237876\pi\) |
−0.955370 | + | 0.295412i | \(0.904543\pi\) | |||||||
\(224\) | −0.661823 | − | 1.14631i | −0.0442199 | − | 0.0765911i | ||||
\(225\) | 0.720741 | − | 1.24836i | 0.0480494 | − | 0.0832240i | ||||
\(226\) | 0.0217274 | 0.00144528 | ||||||||
\(227\) | 2.19602 | − | 3.80362i | 0.145755 | − | 0.252455i | −0.783899 | − | 0.620888i | \(-0.786772\pi\) |
0.929654 | + | 0.368433i | \(0.120106\pi\) | |||||||
\(228\) | −0.0711152 | + | 0.123175i | −0.00470972 | + | 0.00815747i | ||||
\(229\) | −16.5022 | −1.09049 | −0.545247 | − | 0.838275i | \(-0.683564\pi\) | ||||
−0.545247 | + | 0.838275i | \(0.683564\pi\) | |||||||
\(230\) | 0.113053 | − | 0.195813i | 0.00745448 | − | 0.0129115i | ||||
\(231\) | −10.1519 | − | 17.5836i | −0.667945 | − | 1.15691i | ||||
\(232\) | 0.493369 | + | 0.854540i | 0.0323913 | + | 0.0561033i | ||||
\(233\) | 0.112192 | 0.00734994 | 0.00367497 | − | 0.999993i | \(-0.498830\pi\) | ||||
0.00367497 | + | 0.999993i | \(0.498830\pi\) | |||||||
\(234\) | −0.203685 | + | 0.0204140i | −0.0133153 | + | 0.00133451i | ||||
\(235\) | −13.9096 | −0.907360 | ||||||||
\(236\) | −3.52584 | − | 6.10694i | −0.229513 | − | 0.397528i | ||||
\(237\) | −12.7151 | − | 22.0232i | −0.825934 | − | 1.43056i | ||||
\(238\) | −0.386965 | + | 0.670243i | −0.0250832 | + | 0.0434454i | ||||
\(239\) | −0.152681 | −0.00987612 | −0.00493806 | − | 0.999988i | \(-0.501572\pi\) | ||||
−0.00493806 | + | 0.999988i | \(0.501572\pi\) | |||||||
\(240\) | −8.30690 | + | 14.3880i | −0.536208 | + | 0.928739i | ||||
\(241\) | −14.0857 | + | 24.3971i | −0.907339 | + | 1.57156i | −0.0895917 | + | 0.995979i | \(0.528556\pi\) |
−0.817747 | + | 0.575578i | \(0.804777\pi\) | |||||||
\(242\) | −0.0830741 | −0.00534020 | ||||||||
\(243\) | 6.67953 | − | 11.5693i | 0.428492 | − | 0.742171i | ||||
\(244\) | 4.70810 | + | 8.15467i | 0.301405 | + | 0.522049i | ||||
\(245\) | −0.223323 | − | 0.386807i | −0.0142676 | − | 0.0247122i | ||||
\(246\) | 0.00678563 | 0.000432636 | ||||||||
\(247\) | 0.0504037 | − | 0.111753i | 0.00320711 | − | 0.00711067i | ||||
\(248\) | −0.164267 | −0.0104310 | ||||||||
\(249\) | −6.09968 | − | 10.5650i | −0.386552 | − | 0.669527i | ||||
\(250\) | −0.246934 | − | 0.427703i | −0.0156175 | − | 0.0270503i | ||||
\(251\) | −13.7048 | + | 23.7373i | −0.865036 | + | 1.49829i | 0.00197471 | + | 0.999998i | \(0.499371\pi\) |
−0.867011 | + | 0.498289i | \(0.833962\pi\) | |||||||
\(252\) | 7.42251 | 0.467574 | ||||||||
\(253\) | 4.99194 | − | 8.64629i | 0.313841 | − | 0.543588i | ||||
\(254\) | 0.206000 | − | 0.356803i | 0.0129256 | − | 0.0223878i | ||||
\(255\) | 29.1832 | 1.82752 | ||||||||
\(256\) | −7.93257 | + | 13.7396i | −0.495786 | + | 0.858726i | ||||
\(257\) | −6.88259 | − | 11.9210i | −0.429324 | − | 0.743611i | 0.567489 | − | 0.823381i | \(-0.307915\pi\) |
−0.996813 | + | 0.0797697i | \(0.974582\pi\) | |||||||
\(258\) | −0.0541146 | − | 0.0937292i | −0.00336903 | − | 0.00583533i | ||||
\(259\) | 2.31142 | 0.143624 | ||||||||
\(260\) | 5.89259 | − | 13.0648i | 0.365443 | − | 0.810244i | ||||
\(261\) | −8.30105 | −0.513822 | ||||||||
\(262\) | 0.254405 | + | 0.440643i | 0.0157172 | + | 0.0272230i | ||||
\(263\) | −10.8283 | − | 18.7552i | −0.667703 | − | 1.15650i | −0.978545 | − | 0.206034i | \(-0.933944\pi\) |
0.310842 | − | 0.950462i | \(-0.399389\pi\) | |||||||
\(264\) | 0.620430 | − | 1.07462i | 0.0381848 | − | 0.0661381i | ||||
\(265\) | −7.83598 | −0.481361 | ||||||||
\(266\) | 0.00187735 | − | 0.00325167i | 0.000115108 | − | 0.000199373i | ||||
\(267\) | 2.49153 | − | 4.31545i | 0.152479 | − | 0.264101i | ||||
\(268\) | 19.4187 | 1.18619 | ||||||||
\(269\) | −0.731367 | + | 1.26676i | −0.0445922 | + | 0.0772360i | −0.887460 | − | 0.460885i | \(-0.847532\pi\) |
0.842868 | + | 0.538121i | \(0.180866\pi\) | |||||||
\(270\) | −0.138406 | − | 0.239726i | −0.00842311 | − | 0.0145893i | ||||
\(271\) | 4.65133 | + | 8.05635i | 0.282548 | + | 0.489388i | 0.972012 | − | 0.234932i | \(-0.0754869\pi\) |
−0.689463 | + | 0.724321i | \(0.742154\pi\) | |||||||
\(272\) | 27.9629 | 1.69550 | ||||||||
\(273\) | −20.1855 | + | 2.02306i | −1.22168 | + | 0.122441i | ||||
\(274\) | 0.669516 | 0.0404469 | ||||||||
\(275\) | −1.88207 | − | 3.25985i | −0.113493 | − | 0.196576i | ||||
\(276\) | 5.78662 | + | 10.0227i | 0.348314 | + | 0.603297i | ||||
\(277\) | 9.97120 | − | 17.2706i | 0.599111 | − | 1.03769i | −0.393841 | − | 0.919178i | \(-0.628854\pi\) |
0.992953 | − | 0.118513i | \(-0.0378126\pi\) | |||||||
\(278\) | 0.790296 | 0.0473988 | ||||||||
\(279\) | 0.690959 | − | 1.19678i | 0.0413667 | − | 0.0716491i | ||||
\(280\) | 0.439140 | − | 0.760614i | 0.0262437 | − | 0.0454554i | ||||
\(281\) | 3.44422 | 0.205465 | 0.102732 | − | 0.994709i | \(-0.467241\pi\) | ||||
0.102732 | + | 0.994709i | \(0.467241\pi\) | |||||||
\(282\) | −0.300686 | + | 0.520803i | −0.0179056 | + | 0.0310134i | ||||
\(283\) | 9.99651 | + | 17.3145i | 0.594231 | + | 1.02924i | 0.993655 | + | 0.112472i | \(0.0358768\pi\) |
−0.399424 | + | 0.916766i | \(0.630790\pi\) | |||||||
\(284\) | 4.53561 | + | 7.85590i | 0.269139 | + | 0.466162i | ||||
\(285\) | −0.141581 | −0.00838656 | ||||||||
\(286\) | −0.219776 | + | 0.487277i | −0.0129956 | + | 0.0288133i | ||||
\(287\) | 0.212075 | 0.0125184 | ||||||||
\(288\) | 0.340267 | + | 0.589359i | 0.0200504 | + | 0.0347283i | ||||
\(289\) | −16.0593 | − | 27.8155i | −0.944662 | − | 1.63620i | ||||
\(290\) | −0.245455 | + | 0.425141i | −0.0144136 | + | 0.0249652i | ||||
\(291\) | −6.56417 | −0.384799 | ||||||||
\(292\) | −0.0228384 | + | 0.0395574i | −0.00133652 | + | 0.00231492i | ||||
\(293\) | −4.74966 | + | 8.22665i | −0.277478 | + | 0.480606i | −0.970757 | − | 0.240063i | \(-0.922832\pi\) |
0.693279 | + | 0.720669i | \(0.256165\pi\) | |||||||
\(294\) | −0.0193105 | −0.00112621 | ||||||||
\(295\) | 3.50976 | − | 6.07908i | 0.204346 | − | 0.353938i | ||||
\(296\) | 0.0706308 | + | 0.122336i | 0.00410533 | + | 0.00711064i | ||||
\(297\) | −6.11142 | − | 10.5853i | −0.354621 | − | 0.614221i | ||||
\(298\) | 0.529061 | 0.0306477 | ||||||||
\(299\) | −5.82436 | − | 8.09851i | −0.336832 | − | 0.468349i | ||||
\(300\) | 4.36337 | 0.251919 | ||||||||
\(301\) | −1.69127 | − | 2.92937i | −0.0974832 | − | 0.168846i | ||||
\(302\) | −0.117235 | − | 0.203057i | −0.00674613 | − | 0.0116846i | ||||
\(303\) | 18.8373 | − | 32.6271i | 1.08217 | − | 1.87438i | ||||
\(304\) | −0.135661 | −0.00778071 | ||||||||
\(305\) | −4.68662 | + | 8.11747i | −0.268355 | + | 0.464805i | ||||
\(306\) | 0.198953 | − | 0.344596i | 0.0113734 | − | 0.0196992i | ||||
\(307\) | −25.8098 | −1.47304 | −0.736522 | − | 0.676413i | \(-0.763533\pi\) | ||||
−0.736522 | + | 0.676413i | \(0.763533\pi\) | |||||||
\(308\) | 9.69121 | − | 16.7857i | 0.552208 | − | 0.956452i | ||||
\(309\) | 6.87487 | + | 11.9076i | 0.391098 | + | 0.677401i | ||||
\(310\) | −0.0408622 | − | 0.0707754i | −0.00232082 | − | 0.00401977i | ||||
\(311\) | 7.38471 | 0.418749 | 0.209374 | − | 0.977836i | \(-0.432857\pi\) | ||||
0.209374 | + | 0.977836i | \(0.432857\pi\) | |||||||
\(312\) | −0.723889 | − | 1.00653i | −0.0409821 | − | 0.0569838i | ||||
\(313\) | −16.9040 | −0.955468 | −0.477734 | − | 0.878505i | \(-0.658542\pi\) | ||||
−0.477734 | + | 0.878505i | \(0.658542\pi\) | |||||||
\(314\) | 0.0184286 | + | 0.0319192i | 0.00103998 | + | 0.00180131i | ||||
\(315\) | 3.69432 | + | 6.39876i | 0.208152 | + | 0.360529i | ||||
\(316\) | 12.1381 | − | 21.0238i | 0.682821 | − | 1.18268i | ||||
\(317\) | −17.7091 | −0.994643 | −0.497321 | − | 0.867566i | \(-0.665683\pi\) | ||||
−0.497321 | + | 0.867566i | \(0.665683\pi\) | |||||||
\(318\) | −0.169392 | + | 0.293395i | −0.00949902 | + | 0.0164528i | ||||
\(319\) | −10.8383 | + | 18.7725i | −0.606827 | + | 1.05106i | ||||
\(320\) | −15.8330 | −0.885094 | ||||||||
\(321\) | −16.6755 | + | 28.8828i | −0.930735 | + | 1.61208i | ||||
\(322\) | −0.152760 | − | 0.264588i | −0.00851297 | − | 0.0147449i | ||||
\(323\) | 0.119149 | + | 0.206372i | 0.00662961 | + | 0.0114828i | ||||
\(324\) | 22.4531 | 1.24740 | ||||||||
\(325\) | −3.74221 | + | 0.375058i | −0.207581 | + | 0.0208045i | ||||
\(326\) | 0.786912 | 0.0435830 | ||||||||
\(327\) | 21.2864 | + | 36.8691i | 1.17714 | + | 2.03887i | ||||
\(328\) | 0.00648044 | + | 0.0112245i | 0.000357823 | + | 0.000619767i | ||||
\(329\) | −9.39748 | + | 16.2769i | −0.518100 | + | 0.897375i | ||||
\(330\) | 0.617339 | 0.0339834 | ||||||||
\(331\) | −9.33397 | + | 16.1669i | −0.513042 | + | 0.888614i | 0.486844 | + | 0.873489i | \(0.338148\pi\) |
−0.999886 | + | 0.0151253i | \(0.995185\pi\) | |||||||
\(332\) | 5.82289 | − | 10.0855i | 0.319572 | − | 0.553516i | ||||
\(333\) | −1.18838 | −0.0651228 | ||||||||
\(334\) | 0.156414 | − | 0.270917i | 0.00855861 | − | 0.0148239i | ||||
\(335\) | 9.66506 | + | 16.7404i | 0.528058 | + | 0.914624i | ||||
\(336\) | 11.2245 | + | 19.4414i | 0.612346 | + | 1.06061i | ||||
\(337\) | −1.90926 | −0.104004 | −0.0520021 | − | 0.998647i | \(-0.516560\pi\) | ||||
−0.0520021 | + | 0.998647i | \(0.516560\pi\) | |||||||
\(338\) | 0.353528 | + | 0.400343i | 0.0192294 | + | 0.0217758i | ||||
\(339\) | −1.10704 | −0.0601264 | ||||||||
\(340\) | 13.9294 | + | 24.1265i | 0.755429 | + | 1.30844i | ||||
\(341\) | −1.80430 | − | 3.12515i | −0.0977085 | − | 0.169236i | ||||
\(342\) | −0.000965214 | 0.00167180i | −5.21928e−5 | 9.04006e-5i | ||||||
\(343\) | 18.2114 | 0.983325 | ||||||||
\(344\) | 0.103362 | − | 0.179027i | 0.00557288 | − | 0.00965251i | ||||
\(345\) | −5.76022 | + | 9.97700i | −0.310120 | + | 0.537144i | ||||
\(346\) | −0.130492 | −0.00701529 | ||||||||
\(347\) | −13.4274 | + | 23.2569i | −0.720821 | + | 1.24850i | 0.239850 | + | 0.970810i | \(0.422902\pi\) |
−0.960671 | + | 0.277688i | \(0.910432\pi\) | |||||||
\(348\) | −12.5637 | − | 21.7609i | −0.673483 | − | 1.16651i | ||||
\(349\) | −2.15875 | − | 3.73906i | −0.115555 | − | 0.200147i | 0.802446 | − | 0.596724i | \(-0.203531\pi\) |
−0.918002 | + | 0.396577i | \(0.870198\pi\) | |||||||
\(350\) | −0.115188 | −0.00615704 | ||||||||
\(351\) | −12.1516 | + | 1.21788i | −0.648605 | + | 0.0650055i | ||||
\(352\) | 1.77708 | 0.0947185 | ||||||||
\(353\) | 16.1893 | + | 28.0407i | 0.861668 | + | 1.49245i | 0.870318 | + | 0.492491i | \(0.163913\pi\) |
−0.00864939 | + | 0.999963i | \(0.502753\pi\) | |||||||
\(354\) | −0.151742 | − | 0.262825i | −0.00806500 | − | 0.0139690i | ||||
\(355\) | −4.51491 | + | 7.82006i | −0.239627 | + | 0.415046i | ||||
\(356\) | 4.75693 | 0.252117 | ||||||||
\(357\) | 19.7165 | − | 34.1500i | 1.04351 | − | 1.80741i | ||||
\(358\) | −0.528062 | + | 0.914631i | −0.0279090 | + | 0.0483397i | ||||
\(359\) | −16.4956 | −0.870604 | −0.435302 | − | 0.900284i | \(-0.643358\pi\) | ||||
−0.435302 | + | 0.900284i | \(0.643358\pi\) | |||||||
\(360\) | −0.225778 | + | 0.391058i | −0.0118995 | + | 0.0206106i | ||||
\(361\) | 9.49942 | + | 16.4535i | 0.499970 | + | 0.865973i | ||||
\(362\) | −0.0247664 | − | 0.0428967i | −0.00130169 | − | 0.00225460i | ||||
\(363\) | 4.23276 | 0.222162 | ||||||||
\(364\) | −11.3072 | − | 15.7222i | −0.592661 | − | 0.824068i | ||||
\(365\) | −0.0454685 | −0.00237993 | ||||||||
\(366\) | 0.202623 | + | 0.350953i | 0.0105913 | + | 0.0183446i | ||||
\(367\) | −1.70630 | − | 2.95539i | −0.0890680 | − | 0.154270i | 0.818049 | − | 0.575148i | \(-0.195055\pi\) |
−0.907117 | + | 0.420878i | \(0.861722\pi\) | |||||||
\(368\) | −5.51936 | + | 9.55982i | −0.287717 | + | 0.498340i | ||||
\(369\) | −0.109035 | −0.00567614 | ||||||||
\(370\) | −0.0351394 | + | 0.0608633i | −0.00182681 | + | 0.00316413i | ||||
\(371\) | −5.29409 | + | 9.16963i | −0.274855 | + | 0.476063i | ||||
\(372\) | 4.18307 | 0.216882 | ||||||||
\(373\) | 14.2657 | − | 24.7089i | 0.738649 | − | 1.27938i | −0.214455 | − | 0.976734i | \(-0.568798\pi\) |
0.953104 | − | 0.302643i | \(-0.0978691\pi\) | |||||||
\(374\) | −0.519525 | − | 0.899844i | −0.0268640 | − | 0.0465298i | ||||
\(375\) | 12.5817 | + | 21.7922i | 0.649716 | + | 1.12534i | ||||
\(376\) | −1.14865 | −0.0592371 | ||||||||
\(377\) | 12.6456 | + | 17.5831i | 0.651282 | + | 0.905578i | ||||
\(378\) | −0.374035 | −0.0192383 | ||||||||
\(379\) | −14.3408 | − | 24.8389i | −0.736636 | − | 1.27589i | −0.954002 | − | 0.299800i | \(-0.903080\pi\) |
0.217366 | − | 0.976090i | \(-0.430253\pi\) | |||||||
\(380\) | −0.0675783 | − | 0.117049i | −0.00346670 | − | 0.00600449i | ||||
\(381\) | −10.4960 | + | 18.1797i | −0.537728 | + | 0.931373i | ||||
\(382\) | 0.818527 | 0.0418795 | ||||||||
\(383\) | −17.1762 | + | 29.7500i | −0.877661 | + | 1.52015i | −0.0237595 | + | 0.999718i | \(0.507564\pi\) |
−0.853901 | + | 0.520435i | \(0.825770\pi\) | |||||||
\(384\) | −1.37312 | + | 2.37832i | −0.0700719 | + | 0.121368i | ||||
\(385\) | 19.2940 | 0.983313 | ||||||||
\(386\) | −0.531366 | + | 0.920352i | −0.0270458 | + | 0.0468447i | ||||
\(387\) | 0.869542 | + | 1.50609i | 0.0442013 | + | 0.0765589i | ||||
\(388\) | −3.13315 | − | 5.42677i | −0.159062 | − | 0.275503i | ||||
\(389\) | −6.09669 | −0.309114 | −0.154557 | − | 0.987984i | \(-0.549395\pi\) | ||||
−0.154557 | + | 0.987984i | \(0.549395\pi\) | |||||||
\(390\) | 0.253600 | − | 0.562271i | 0.0128415 | − | 0.0284717i | ||||
\(391\) | 19.3902 | 0.980605 | ||||||||
\(392\) | −0.0184420 | − | 0.0319425i | −0.000931461 | − | 0.00161334i | ||||
\(393\) | −12.9624 | − | 22.4515i | −0.653864 | − | 1.13253i | ||||
\(394\) | 0.248265 | − | 0.430008i | 0.0125074 | − | 0.0216635i | ||||
\(395\) | 24.1654 | 1.21589 | ||||||||
\(396\) | −4.98259 | + | 8.63010i | −0.250385 | + | 0.433679i | ||||
\(397\) | 3.60147 | − | 6.23793i | 0.180753 | − | 0.313073i | −0.761384 | − | 0.648301i | \(-0.775480\pi\) |
0.942137 | + | 0.335228i | \(0.108813\pi\) | |||||||
\(398\) | −0.704883 | −0.0353326 | ||||||||
\(399\) | −0.0956542 | + | 0.165678i | −0.00478870 | + | 0.00829427i | ||||
\(400\) | 2.08092 | + | 3.60427i | 0.104046 | + | 0.180213i | ||||
\(401\) | −7.03467 | − | 12.1844i | −0.351295 | − | 0.608460i | 0.635182 | − | 0.772363i | \(-0.280925\pi\) |
−0.986477 | + | 0.163902i | \(0.947592\pi\) | |||||||
\(402\) | 0.835725 | 0.0416822 | ||||||||
\(403\) | −3.58758 | + | 0.359560i | −0.178710 | + | 0.0179110i | ||||
\(404\) | 35.9649 | 1.78932 | ||||||||
\(405\) | 11.1754 | + | 19.3563i | 0.555308 | + | 0.961821i | ||||
\(406\) | 0.331665 | + | 0.574461i | 0.0164603 | + | 0.0285100i | ||||
\(407\) | −1.55161 | + | 2.68747i | −0.0769105 | + | 0.133213i | ||||
\(408\) | 2.40994 | 0.119310 | ||||||||
\(409\) | 6.99004 | − | 12.1071i | 0.345635 | − | 0.598658i | −0.639834 | − | 0.768513i | \(-0.720997\pi\) |
0.985469 | + | 0.169856i | \(0.0543302\pi\) | |||||||
\(410\) | −0.00322408 | + | 0.00558427i | −0.000159226 | + | 0.000275787i | ||||
\(411\) | −34.1129 | −1.68267 | ||||||||
\(412\) | −6.56290 | + | 11.3673i | −0.323331 | + | 0.560025i | ||||
\(413\) | −4.74247 | − | 8.21420i | −0.233362 | − | 0.404194i | ||||
\(414\) | 0.0785392 | + | 0.136034i | 0.00385999 | + | 0.00668570i | ||||
\(415\) | 11.5926 | 0.569061 | ||||||||
\(416\) | 0.730016 | − | 1.61856i | 0.0357920 | − | 0.0793564i | ||||
\(417\) | −40.2668 | −1.97188 | ||||||||
\(418\) | 0.00252047 | + | 0.00436557i | 0.000123280 | + | 0.000213527i | ||||
\(419\) | −15.0909 | − | 26.1382i | −0.737239 | − | 1.27694i | −0.953734 | − | 0.300652i | \(-0.902796\pi\) |
0.216494 | − | 0.976284i | \(-0.430538\pi\) | |||||||
\(420\) | −11.1827 | + | 19.3691i | −0.545661 | + | 0.945113i | ||||
\(421\) | 37.8526 | 1.84482 | 0.922412 | − | 0.386207i | \(-0.126215\pi\) | ||||
0.922412 | + | 0.386207i | \(0.126215\pi\) | |||||||
\(422\) | 0.376817 | − | 0.652666i | 0.0183432 | − | 0.0317713i | ||||
\(423\) | 4.83158 | − | 8.36853i | 0.234919 | − | 0.406892i | ||||
\(424\) | −0.647094 | −0.0314256 | ||||||||
\(425\) | 3.65527 | − | 6.33111i | 0.177307 | − | 0.307104i | ||||
\(426\) | 0.195199 | + | 0.338095i | 0.00945744 | + | 0.0163808i | ||||
\(427\) | 6.33268 | + | 10.9685i | 0.306460 | + | 0.530804i | ||||
\(428\) | −31.8375 | −1.53893 | ||||||||
\(429\) | 11.1979 | − | 24.8275i | 0.540641 | − | 1.19868i | ||||
\(430\) | 0.102847 | 0.00495970 | ||||||||
\(431\) | 15.0132 | + | 26.0037i | 0.723163 | + | 1.25255i | 0.959726 | + | 0.280938i | \(0.0906457\pi\) |
−0.236563 | + | 0.971616i | \(0.576021\pi\) | |||||||
\(432\) | 6.75712 | + | 11.7037i | 0.325102 | + | 0.563094i | ||||
\(433\) | 9.29335 | − | 16.0966i | 0.446610 | − | 0.773551i | −0.551553 | − | 0.834140i | \(-0.685965\pi\) |
0.998163 | + | 0.0605888i | \(0.0192978\pi\) | |||||||
\(434\) | −0.110428 | −0.00530072 | ||||||||
\(435\) | 12.5063 | − | 21.6616i | 0.599633 | − | 1.03860i | ||||
\(436\) | −20.3205 | + | 35.1961i | −0.973173 | + | 1.68559i | ||||
\(437\) | −0.0940712 | −0.00450003 | ||||||||
\(438\) | −0.000982901 | 0.00170243i | −4.69648e−5 | 8.13455e-5i | ||||||
\(439\) | 15.5556 | + | 26.9432i | 0.742430 | + | 1.28593i | 0.951386 | + | 0.308002i | \(0.0996604\pi\) |
−0.208955 | + | 0.977925i | \(0.567006\pi\) | |||||||
\(440\) | 0.589574 | + | 1.02117i | 0.0281068 | + | 0.0486824i | ||||
\(441\) | 0.310291 | 0.0147758 | ||||||||
\(442\) | −1.03300 | + | 0.103531i | −0.0491346 | + | 0.00492444i | ||||
\(443\) | 14.2242 | 0.675811 | 0.337906 | − | 0.941180i | \(-0.390282\pi\) | ||||
0.337906 | + | 0.941180i | \(0.390282\pi\) | |||||||
\(444\) | −1.79862 | − | 3.11529i | −0.0853585 | − | 0.147845i | ||||
\(445\) | 2.36761 | + | 4.10083i | 0.112236 | + | 0.194398i | ||||
\(446\) | 0.136109 | − | 0.235748i | 0.00644495 | − | 0.0111630i | ||||
\(447\) | −26.9565 | −1.27500 | ||||||||
\(448\) | −10.6970 | + | 18.5277i | −0.505386 | + | 0.875353i | ||||
\(449\) | −3.43382 | + | 5.94755i | −0.162052 | + | 0.280682i | −0.935604 | − | 0.353050i | \(-0.885145\pi\) |
0.773553 | + | 0.633732i | \(0.218478\pi\) | |||||||
\(450\) | 0.0592221 | 0.00279176 | ||||||||
\(451\) | −0.142362 | + | 0.246578i | −0.00670355 | + | 0.0116109i | ||||
\(452\) | −0.528404 | − | 0.915223i | −0.0248540 | − | 0.0430485i | ||||
\(453\) | 5.97332 | + | 10.3461i | 0.280651 | + | 0.486102i | ||||
\(454\) | 0.180443 | 0.00846862 | ||||||||
\(455\) | 7.92589 | − | 17.5729i | 0.371571 | − | 0.823832i | ||||
\(456\) | −0.0116918 | −0.000547517 | ||||||||
\(457\) | 8.69170 | + | 15.0545i | 0.406581 | + | 0.704218i | 0.994504 | − | 0.104698i | \(-0.0333877\pi\) |
−0.587923 | + | 0.808917i | \(0.700054\pi\) | |||||||
\(458\) | −0.338989 | − | 0.587146i | −0.0158399 | − | 0.0274355i | ||||
\(459\) | 11.8693 | − | 20.5582i | 0.554012 | − | 0.959576i | ||||
\(460\) | −10.9977 | −0.512769 | ||||||||
\(461\) | 3.00746 | − | 5.20907i | 0.140071 | − | 0.242611i | −0.787452 | − | 0.616376i | \(-0.788600\pi\) |
0.927523 | + | 0.373765i | \(0.121933\pi\) | |||||||
\(462\) | 0.417082 | − | 0.722407i | 0.0194044 | − | 0.0336094i | ||||
\(463\) | 21.3532 | 0.992369 | 0.496184 | − | 0.868217i | \(-0.334734\pi\) | ||||
0.496184 | + | 0.868217i | \(0.334734\pi\) | |||||||
\(464\) | 11.9834 | − | 20.7559i | 0.556315 | − | 0.963567i | ||||
\(465\) | 2.08199 | + | 3.60612i | 0.0965502 | + | 0.167230i | ||||
\(466\) | 0.00230466 | + | 0.00399178i | 0.000106761 | + | 0.000184916i | ||||
\(467\) | 6.16489 | 0.285277 | 0.142639 | − | 0.989775i | \(-0.454441\pi\) | ||||
0.142639 | + | 0.989775i | \(0.454441\pi\) | |||||||
\(468\) | 5.81346 | + | 8.08335i | 0.268727 | + | 0.373653i | ||||
\(469\) | 26.1193 | 1.20608 | ||||||||
\(470\) | −0.285731 | − | 0.494901i | −0.0131798 | − | 0.0228281i | ||||
\(471\) | −0.938965 | − | 1.62633i | −0.0432652 | − | 0.0749376i | ||||
\(472\) | 0.289835 | − | 0.502009i | 0.0133407 | − | 0.0231068i | ||||
\(473\) | 4.54127 | 0.208808 | ||||||||
\(474\) | 0.522389 | − | 0.904803i | 0.0239941 | − | 0.0415590i | ||||
\(475\) | −0.0177335 | + | 0.0307153i | −0.000813667 | + | 0.00140931i | ||||
\(476\) | 37.6436 | 1.72539 | ||||||||
\(477\) | 2.72188 | − | 4.71443i | 0.124626 | − | 0.215859i | ||||
\(478\) | −0.00313639 | − | 0.00543238i | −0.000143455 | − | 0.000248471i | ||||
\(479\) | −11.0367 | − | 19.1161i | −0.504280 | − | 0.873438i | −0.999988 | − | 0.00494881i | \(-0.998425\pi\) |
0.495708 | − | 0.868489i | \(-0.334909\pi\) | |||||||
\(480\) | −2.05058 | −0.0935957 | ||||||||
\(481\) | 1.81035 | + | 2.51720i | 0.0825447 | + | 0.114775i | ||||
\(482\) | −1.15740 | −0.0527180 | ||||||||
\(483\) | 7.78336 | + | 13.4812i | 0.354155 | + | 0.613414i | ||||
\(484\) | 2.02034 | + | 3.49933i | 0.0918337 | + | 0.159061i | ||||
\(485\) | 3.11886 | − | 5.40202i | 0.141620 | − | 0.245293i | ||||
\(486\) | 0.548846 | 0.0248962 | ||||||||
\(487\) | 2.68945 | − | 4.65827i | 0.121871 | − | 0.211086i | −0.798635 | − | 0.601816i | \(-0.794444\pi\) |
0.920505 | + | 0.390730i | \(0.127777\pi\) | |||||||
\(488\) | −0.387020 | + | 0.670338i | −0.0175196 | + | 0.0303448i | ||||
\(489\) | −40.0944 | −1.81313 | ||||||||
\(490\) | 0.00917505 | − | 0.0158917i | 0.000414486 | − | 0.000717912i | ||||
\(491\) | −4.79971 | − | 8.31335i | −0.216608 | − | 0.375176i | 0.737161 | − | 0.675717i | \(-0.236166\pi\) |
−0.953769 | + | 0.300541i | \(0.902833\pi\) | |||||||
\(492\) | −0.165025 | − | 0.285831i | −0.00743989 | − | 0.0128863i | ||||
\(493\) | −42.0992 | −1.89605 | ||||||||
\(494\) | 0.00501156 | 0.000502276i | 0.000225481 | 2.25985e-5i | ||||||
\(495\) | −9.91972 | −0.445858 | ||||||||
\(496\) | 1.99494 | + | 3.45533i | 0.0895753 | + | 0.155149i | ||||
\(497\) | 6.10066 | + | 10.5667i | 0.273652 | + | 0.473979i | ||||
\(498\) | 0.250600 | − | 0.434052i | 0.0112297 | − | 0.0194504i | ||||
\(499\) | −39.3295 | −1.76063 | −0.880315 | − | 0.474389i | \(-0.842669\pi\) | ||||
−0.880315 | + | 0.474389i | \(0.842669\pi\) | |||||||
\(500\) | −12.0108 | + | 20.8033i | −0.537138 | + | 0.930350i | ||||
\(501\) | −7.96956 | + | 13.8037i | −0.356054 | + | 0.616703i | ||||
\(502\) | −1.12610 | −0.0502601 | ||||||||
\(503\) | −6.59642 | + | 11.4253i | −0.294120 | + | 0.509431i | −0.974780 | − | 0.223169i | \(-0.928360\pi\) |
0.680660 | + | 0.732600i | \(0.261693\pi\) | |||||||
\(504\) | 0.305076 | + | 0.528408i | 0.0135892 | + | 0.0235372i | ||||
\(505\) | 17.9004 | + | 31.0044i | 0.796558 | + | 1.37968i | ||||
\(506\) | 0.410179 | 0.0182347 | ||||||||
\(507\) | −18.0128 | − | 20.3981i | −0.799978 | − | 0.905911i | ||||
\(508\) | −20.0395 | −0.889109 | ||||||||
\(509\) | −13.4832 | − | 23.3536i | −0.597633 | − | 1.03513i | −0.993169 | − | 0.116681i | \(-0.962775\pi\) |
0.395536 | − | 0.918450i | \(-0.370559\pi\) | |||||||
\(510\) | 0.599483 | + | 1.03833i | 0.0265455 | + | 0.0459782i | ||||
\(511\) | −0.0307191 | + | 0.0532070i | −0.00135893 | + | 0.00235374i | ||||
\(512\) | −3.27565 | −0.144765 | ||||||||
\(513\) | −0.0575837 | + | 0.0997378i | −0.00254238 | + | 0.00440353i | ||||
\(514\) | 0.282765 | − | 0.489764i | 0.0124722 | − | 0.0216026i | ||||
\(515\) | −13.0659 | −0.575753 | ||||||||
\(516\) | −2.63211 | + | 4.55894i | −0.115872 | + | 0.200696i | ||||
\(517\) | −12.6167 | − | 21.8528i | −0.554882 | − | 0.961084i | ||||
\(518\) | 0.0474813 | + | 0.0822400i | 0.00208621 | + | 0.00361342i | ||||
\(519\) | 6.64877 | 0.291849 | ||||||||
\(520\) | 1.17228 | − | 0.117490i | 0.0514077 | − | 0.00515227i | ||||
\(521\) | 2.93885 | 0.128753 | 0.0643767 | − | 0.997926i | \(-0.479494\pi\) | ||||
0.0643767 | + | 0.997926i | \(0.479494\pi\) | |||||||
\(522\) | −0.170521 | − | 0.295351i | −0.00746350 | − | 0.0129272i | ||||
\(523\) | −8.15907 | − | 14.1319i | −0.356771 | − | 0.617946i | 0.630648 | − | 0.776069i | \(-0.282789\pi\) |
−0.987419 | + | 0.158123i | \(0.949456\pi\) | |||||||
\(524\) | 12.3741 | − | 21.4326i | 0.540567 | − | 0.936289i | ||||
\(525\) | 5.86900 | 0.256144 | ||||||||
\(526\) | 0.444872 | − | 0.770542i | 0.0193974 | − | 0.0335972i | ||||
\(527\) | 3.50423 | − | 6.06950i | 0.152647 | − | 0.264392i | ||||
\(528\) | −30.1392 | −1.31164 | ||||||||
\(529\) | 7.67273 | − | 13.2896i | 0.333597 | − | 0.577807i | ||||
\(530\) | −0.160967 | − | 0.278804i | −0.00699197 | − | 0.0121105i | ||||
\(531\) | 2.43827 | + | 4.22321i | 0.105812 | + | 0.183272i | ||||
\(532\) | −0.182627 | −0.00791789 | ||||||||
\(533\) | 0.166101 | + | 0.230956i | 0.00719463 | + | 0.0100038i | ||||
\(534\) | 0.204724 | 0.00885929 | ||||||||
\(535\) | −15.8461 | − | 27.4463i | −0.685089 | − | 1.18661i | ||||
\(536\) | 0.798138 | + | 1.38242i | 0.0344743 | + | 0.0597113i | ||||
\(537\) | 26.9056 | − | 46.6019i | 1.16106 | − | 2.01102i | ||||
\(538\) | −0.0600952 | −0.00259089 | ||||||||
\(539\) | 0.405132 | − | 0.701709i | 0.0174503 | − | 0.0302247i | ||||
\(540\) | −6.73199 | + | 11.6601i | −0.289699 | + | 0.501773i | ||||
\(541\) | 46.1372 | 1.98359 | 0.991797 | − | 0.127824i | \(-0.0407992\pi\) | ||||
0.991797 | + | 0.127824i | \(0.0407992\pi\) | |||||||
\(542\) | −0.191096 | + | 0.330988i | −0.00820828 | + | 0.0142172i | ||||
\(543\) | 1.26189 | + | 2.18566i | 0.0541529 | + | 0.0937955i | ||||
\(544\) | 1.72568 | + | 2.98896i | 0.0739878 | + | 0.128151i | ||||
\(545\) | −40.4555 | −1.73292 | ||||||||
\(546\) | −0.486631 | − | 0.676639i | −0.0208259 | − | 0.0289575i | ||||
\(547\) | −20.6177 | −0.881549 | −0.440774 | − | 0.897618i | \(-0.645296\pi\) | ||||
−0.440774 | + | 0.897618i | \(0.645296\pi\) | |||||||
\(548\) | −16.2825 | − | 28.2020i | −0.695552 | − | 1.20473i | ||||
\(549\) | −3.25585 | − | 5.63930i | −0.138956 | − | 0.240680i | ||||
\(550\) | 0.0773234 | − | 0.133928i | 0.00329708 | − | 0.00571071i | ||||
\(551\) | 0.204243 | 0.00870105 | ||||||||
\(552\) | −0.475678 | + | 0.823898i | −0.0202462 | + | 0.0350674i | ||||
\(553\) | 16.3265 | − | 28.2783i | 0.694272 | − | 1.20251i | ||||
\(554\) | 0.819316 | 0.0348094 | ||||||||
\(555\) | 1.79041 | − | 3.10108i | 0.0759987 | − | 0.131634i | ||||
\(556\) | −19.2198 | − | 33.2897i | −0.815101 | − | 1.41180i | ||||
\(557\) | −22.3926 | − | 38.7852i | −0.948807 | − | 1.64338i | −0.747944 | − | 0.663762i | \(-0.768959\pi\) |
−0.200862 | − | 0.979619i | \(-0.564374\pi\) | |||||||
\(558\) | 0.0567750 | 0.00240348 | ||||||||
\(559\) | 1.86554 | − | 4.13618i | 0.0789038 | − | 0.174942i | ||||
\(560\) | −21.3325 | −0.901463 | ||||||||
\(561\) | 26.4706 | + | 45.8485i | 1.11759 | + | 1.93572i | ||||
\(562\) | 0.0707513 | + | 0.122545i | 0.00298447 | + | 0.00516925i | ||||
\(563\) | −17.1000 | + | 29.6181i | −0.720679 | + | 1.24825i | 0.240049 | + | 0.970761i | \(0.422836\pi\) |
−0.960728 | + | 0.277492i | \(0.910497\pi\) | |||||||
\(564\) | 29.2504 | 1.23166 | ||||||||
\(565\) | 0.525994 | − | 0.911048i | 0.0221287 | − | 0.0383281i | ||||
\(566\) | −0.410698 | + | 0.711350i | −0.0172629 | + | 0.0299003i | ||||
\(567\) | 30.2008 | 1.26832 | ||||||||
\(568\) | −0.372840 | + | 0.645779i | −0.0156440 | + | 0.0270963i | ||||
\(569\) | 23.1112 | + | 40.0297i | 0.968870 | + | 1.67813i | 0.698836 | + | 0.715282i | \(0.253702\pi\) |
0.270034 | + | 0.962851i | \(0.412965\pi\) | |||||||
\(570\) | −0.00290838 | − | 0.00503746i | −0.000121819 | − | 0.000210996i | ||||
\(571\) | 8.09392 | 0.338720 | 0.169360 | − | 0.985554i | \(-0.445830\pi\) | ||||
0.169360 | + | 0.985554i | \(0.445830\pi\) | |||||||
\(572\) | 25.8705 | − | 2.59283i | 1.08170 | − | 0.108412i | ||||
\(573\) | −41.7053 | −1.74226 | ||||||||
\(574\) | 0.00435645 | + | 0.00754560i | 0.000181835 | + | 0.000314947i | ||||
\(575\) | 1.44297 | + | 2.49929i | 0.0601759 | + | 0.104228i | ||||
\(576\) | 5.49970 | − | 9.52577i | 0.229154 | − | 0.396907i | ||||
\(577\) | 16.6135 | 0.691628 | 0.345814 | − | 0.938303i | \(-0.387603\pi\) | ||||
0.345814 | + | 0.938303i | \(0.387603\pi\) | |||||||
\(578\) | 0.659781 | − | 1.14277i | 0.0274433 | − | 0.0475331i | ||||
\(579\) | 27.0739 | − | 46.8934i | 1.12515 | − | 1.94882i | ||||
\(580\) | 23.8776 | 0.991465 | ||||||||
\(581\) | 7.83213 | − | 13.5657i | 0.324932 | − | 0.562798i | ||||
\(582\) | −0.134842 | − | 0.233553i | −0.00558937 | − | 0.00968107i | ||||
\(583\) | −7.10764 | − | 12.3108i | −0.294369 | − | 0.509861i | ||||
\(584\) | −0.00375478 | −0.000155374 | ||||||||
\(585\) | −4.07498 | + | 9.03487i | −0.168480 | + | 0.373546i | ||||
\(586\) | −0.390271 | −0.0161220 | ||||||||
\(587\) | −21.6739 | − | 37.5404i | −0.894579 | − | 1.54946i | −0.834325 | − | 0.551273i | \(-0.814142\pi\) |
−0.0602542 | − | 0.998183i | \(-0.519191\pi\) | |||||||
\(588\) | 0.469626 | + | 0.813416i | 0.0193671 | + | 0.0335447i | ||||
\(589\) | −0.0170007 | + | 0.0294461i | −0.000700502 | + | 0.00121330i | ||||
\(590\) | 0.288391 | 0.0118729 | ||||||||
\(591\) | −12.6495 | + | 21.9096i | −0.520331 | + | 0.901240i | ||||
\(592\) | 1.71555 | − | 2.97141i | 0.0705085 | − | 0.122124i | ||||
\(593\) | −26.2397 | −1.07754 | −0.538768 | − | 0.842454i | \(-0.681110\pi\) | ||||
−0.538768 | + | 0.842454i | \(0.681110\pi\) | |||||||
\(594\) | 0.251083 | − | 0.434888i | 0.0103020 | − | 0.0178437i | ||||
\(595\) | 18.7359 | + | 32.4516i | 0.768098 | + | 1.33038i | ||||
\(596\) | −12.8666 | − | 22.2857i | −0.527038 | − | 0.912856i | ||||
\(597\) | 35.9149 | 1.46990 | ||||||||
\(598\) | 0.168500 | − | 0.373591i | 0.00689048 | − | 0.0152773i | ||||
\(599\) | 24.4417 | 0.998661 | 0.499330 | − | 0.866412i | \(-0.333579\pi\) | ||||
0.499330 | + | 0.866412i | \(0.333579\pi\) | |||||||
\(600\) | 0.179341 | + | 0.310628i | 0.00732157 | + | 0.0126813i | ||||
\(601\) | 21.8006 | + | 37.7598i | 0.889265 | + | 1.54025i | 0.840746 | + | 0.541430i | \(0.182117\pi\) |
0.0485197 | + | 0.998822i | \(0.484550\pi\) | |||||||
\(602\) | 0.0694844 | − | 0.120351i | 0.00283197 | − | 0.00490512i | ||||
\(603\) | −13.4289 | −0.546866 | ||||||||
\(604\) | −5.70226 | + | 9.87660i | −0.232022 | + | 0.401873i | ||||
\(605\) | −2.01112 | + | 3.48337i | −0.0817638 | + | 0.141619i | ||||
\(606\) | 1.54783 | 0.0628761 | ||||||||
\(607\) | −1.88667 | + | 3.26781i | −0.0765776 | + | 0.132636i | −0.901771 | − | 0.432214i | \(-0.857733\pi\) |
0.825194 | + | 0.564850i | \(0.191066\pi\) | |||||||
\(608\) | −0.00837208 | − | 0.0145009i | −0.000339533 | − | 0.000588088i | ||||
\(609\) | −16.8989 | − | 29.2697i | −0.684777 | − | 1.18607i | ||||
\(610\) | −0.385092 | −0.0155919 | ||||||||
\(611\) | −25.0864 | + | 2.51425i | −1.01489 | + | 0.101715i | ||||
\(612\) | −19.3539 | −0.782335 | ||||||||
\(613\) | −21.7807 | − | 37.7253i | −0.879714 | − | 1.52371i | −0.851655 | − | 0.524103i | \(-0.824401\pi\) |
−0.0280589 | − | 0.999606i | \(-0.508933\pi\) | |||||||
\(614\) | −0.530187 | − | 0.918312i | −0.0213966 | − | 0.0370600i | ||||
\(615\) | 0.164272 | − | 0.284527i | 0.00662408 | − | 0.0114732i | ||||
\(616\) | 1.59329 | 0.0641956 | ||||||||
\(617\) | 4.98840 | − | 8.64017i | 0.200825 | − | 0.347840i | −0.747969 | − | 0.663733i | \(-0.768971\pi\) |
0.948795 | + | 0.315894i | \(0.102304\pi\) | |||||||
\(618\) | −0.282448 | + | 0.489215i | −0.0113617 | + | 0.0196791i | ||||
\(619\) | 14.5672 | 0.585506 | 0.292753 | − | 0.956188i | \(-0.405429\pi\) | ||||
0.292753 | + | 0.956188i | \(0.405429\pi\) | |||||||
\(620\) | −1.98752 | + | 3.44248i | −0.0798206 | + | 0.138253i | ||||
\(621\) | 4.68557 | + | 8.11564i | 0.188025 | + | 0.325669i | ||||
\(622\) | 0.151697 | + | 0.262748i | 0.00608251 | + | 0.0105352i | ||||
\(623\) | 6.39835 | 0.256345 | ||||||||
\(624\) | −12.3810 | + | 27.4507i | −0.495638 | + | 1.09891i | ||||
\(625\) | −18.6964 | −0.747857 | ||||||||
\(626\) | −0.347242 | − | 0.601441i | −0.0138786 | − | 0.0240384i | ||||
\(627\) | −0.128422 | − | 0.222433i | −0.00512867 | − | 0.00888312i | ||||
\(628\) | 0.896356 | − | 1.55253i | 0.0357685 | − | 0.0619528i | ||||
\(629\) | −6.02692 | −0.240309 | ||||||||
\(630\) | −0.151778 | + | 0.262887i | −0.00604699 | + | 0.0104737i | ||||
\(631\) | 22.4972 | − | 38.9663i | 0.895600 | − | 1.55122i | 0.0625391 | − | 0.998043i | \(-0.480080\pi\) |
0.833061 | − | 0.553182i | \(-0.186586\pi\) | |||||||
\(632\) | 1.99558 | 0.0793797 | ||||||||
\(633\) | −19.1994 | + | 33.2544i | −0.763109 | + | 1.32174i | ||||
\(634\) | −0.363782 | − | 0.630089i | −0.0144476 | − | 0.0250240i | ||||
\(635\) | −9.97403 | − | 17.2755i | −0.395807 | − | 0.685558i | ||||
\(636\) | 16.4783 | 0.653406 | ||||||||
\(637\) | −0.472689 | − | 0.657252i | −0.0187286 | − | 0.0260413i | ||||
\(638\) | −0.890563 | −0.0352577 | ||||||||
\(639\) | −3.13657 | − | 5.43269i | −0.124081 | − | 0.214914i | ||||
\(640\) | −1.30483 | − | 2.26004i | −0.0515781 | − | 0.0893358i | ||||
\(641\) | −13.8003 | + | 23.9029i | −0.545080 | + | 0.944106i | 0.453522 | + | 0.891245i | \(0.350167\pi\) |
−0.998602 | + | 0.0528613i | \(0.983166\pi\) | |||||||
\(642\) | −1.37020 | −0.0540773 | ||||||||
\(643\) | −19.1219 | + | 33.1200i | −0.754092 | + | 1.30613i | 0.191732 | + | 0.981447i | \(0.438590\pi\) |
−0.945824 | + | 0.324679i | \(0.894744\pi\) | |||||||
\(644\) | −7.43016 | + | 12.8694i | −0.292789 | + | 0.507126i | ||||
\(645\) | −5.24020 | −0.206333 | ||||||||
\(646\) | −0.00489513 | + | 0.00847861i | −0.000192596 | + | 0.000333586i | ||||
\(647\) | 6.30460 | + | 10.9199i | 0.247860 | + | 0.429305i | 0.962932 | − | 0.269745i | \(-0.0869395\pi\) |
−0.715072 | + | 0.699051i | \(0.753606\pi\) | |||||||
\(648\) | 0.922858 | + | 1.59844i | 0.0362533 | + | 0.0627925i | ||||
\(649\) | 12.7341 | 0.499858 | ||||||||
\(650\) | −0.0902173 | − | 0.125443i | −0.00353861 | − | 0.00492028i | ||||
\(651\) | 5.62648 | 0.220519 | ||||||||
\(652\) | −19.1375 | − | 33.1471i | −0.749483 | − | 1.29814i | ||||
\(653\) | 16.5492 | + | 28.6641i | 0.647621 | + | 1.12171i | 0.983690 | + | 0.179875i | \(0.0575692\pi\) |
−0.336069 | + | 0.941837i | \(0.609097\pi\) | |||||||
\(654\) | −0.874534 | + | 1.51474i | −0.0341970 | + | 0.0592309i | ||||
\(655\) | 24.6354 | 0.962584 | ||||||||
\(656\) | 0.157403 | − | 0.272630i | 0.00614555 | − | 0.0106444i | ||||
\(657\) | 0.0157938 | − | 0.0273556i | 0.000616174 | − | 0.00106724i | ||||
\(658\) | −0.772175 | −0.0301025 | ||||||||
\(659\) | −3.38838 | + | 5.86884i | −0.131992 | + | 0.228618i | −0.924445 | − | 0.381317i | \(-0.875471\pi\) |
0.792452 | + | 0.609934i | \(0.208804\pi\) | |||||||
\(660\) | −15.0135 | − | 26.0042i | −0.584400 | − | 1.01221i | ||||
\(661\) | −17.4740 | − | 30.2659i | −0.679661 | − | 1.17721i | −0.975083 | − | 0.221841i | \(-0.928793\pi\) |
0.295422 | − | 0.955367i | \(-0.404540\pi\) | |||||||
\(662\) | −0.766957 | −0.0298086 | ||||||||
\(663\) | 52.6328 | − | 5.27505i | 2.04409 | − | 0.204866i | ||||
\(664\) | 0.957318 | 0.0371511 | ||||||||
\(665\) | −0.0908969 | − | 0.157438i | −0.00352483 | − | 0.00610519i | ||||
\(666\) | −0.0244118 | − | 0.0422825i | −0.000945938 | − | 0.00163841i | ||||
\(667\) | 8.30961 | − | 14.3927i | 0.321749 | − | 0.557286i | ||||
\(668\) | −15.2158 | −0.588718 | ||||||||
\(669\) | −6.93497 | + | 12.0117i | −0.268121 | + | 0.464400i | ||||
\(670\) | −0.397081 | + | 0.687764i | −0.0153406 | + | 0.0265706i | ||||
\(671\) | −17.0040 | −0.656434 | ||||||||
\(672\) | −1.38540 | + | 2.39958i | −0.0534428 | + | 0.0925657i | ||||
\(673\) | 6.42548 | + | 11.1293i | 0.247684 | + | 0.429001i | 0.962883 | − | 0.269920i | \(-0.0869972\pi\) |
−0.715199 | + | 0.698921i | \(0.753664\pi\) | |||||||
\(674\) | −0.0392203 | − | 0.0679315i | −0.00151071 | − | 0.00261662i | ||||
\(675\) | 3.53313 | 0.135990 | ||||||||
\(676\) | 8.26593 | − | 24.6279i | 0.317921 | − | 0.947227i | ||||
\(677\) | 5.23104 | 0.201045 | 0.100523 | − | 0.994935i | \(-0.467949\pi\) | ||||
0.100523 | + | 0.994935i | \(0.467949\pi\) | |||||||
\(678\) | −0.0227410 | − | 0.0393886i | −0.000873363 | − | 0.00151271i | ||||
\(679\) | −4.21427 | − | 7.29934i | −0.161729 | − | 0.280123i | ||||
\(680\) | −1.14504 | + | 1.98327i | −0.0439103 | + | 0.0760549i | ||||
\(681\) | −9.19387 | −0.352310 | ||||||||
\(682\) | 0.0741283 | − | 0.128394i | 0.00283852 | − | 0.00491646i | ||||
\(683\) | 12.4003 | − | 21.4780i | 0.474485 | − | 0.821832i | −0.525088 | − | 0.851048i | \(-0.675968\pi\) |
0.999573 | + | 0.0292159i | \(0.00930102\pi\) | |||||||
\(684\) | 0.0938950 | 0.00359017 | ||||||||
\(685\) | 16.2082 | − | 28.0734i | 0.619282 | − | 1.07263i | ||||
\(686\) | 0.374101 | + | 0.647961i | 0.0142832 | + | 0.0247393i | ||||
\(687\) | 17.2720 | + | 29.9160i | 0.658969 | + | 1.14137i | ||||
\(688\) | −5.02108 | −0.191427 | ||||||||
\(689\) | −14.1324 | + | 1.41640i | −0.538403 | + | 0.0539607i | ||||
\(690\) | −0.473308 | −0.0180185 | ||||||||
\(691\) | −6.67222 | − | 11.5566i | −0.253823 | − | 0.439635i | 0.710752 | − | 0.703443i | \(-0.248355\pi\) |
−0.964575 | + | 0.263808i | \(0.915022\pi\) | |||||||
\(692\) | 3.17353 | + | 5.49671i | 0.120639 | + | 0.208954i | ||||
\(693\) | −6.70189 | + | 11.6080i | −0.254584 | + | 0.440952i | ||||
\(694\) | −1.10331 | −0.0418810 | ||||||||
\(695\) | 19.1321 | − | 33.1378i | 0.725722 | − | 1.25699i | ||||
\(696\) | 1.03277 | − | 1.78881i | 0.0391471 | − | 0.0678047i | ||||
\(697\) | −0.552976 | −0.0209455 | ||||||||
\(698\) | 0.0886904 | − | 0.153616i | 0.00335698 | − | 0.00581446i | ||||
\(699\) | −0.117426 | − | 0.203388i | −0.00444146 | − | 0.00769283i | ||||
\(700\) | 2.80134 | + | 4.85206i | 0.105881 | + | 0.183390i | ||||
\(701\) | −14.1263 | −0.533544 | −0.266772 | − | 0.963760i | \(-0.585957\pi\) | ||||
−0.266772 | + | 0.963760i | \(0.585957\pi\) | |||||||
\(702\) | −0.292951 | − | 0.407336i | −0.0110567 | − | 0.0153739i | ||||
\(703\) | 0.0292395 | 0.00110279 | ||||||||
\(704\) | −14.3614 | − | 24.8747i | −0.541265 | − | 0.937499i | ||||
\(705\) | 14.5585 | + | 25.2160i | 0.548304 | + | 0.949690i | ||||
\(706\) | −0.665123 | + | 1.15203i | −0.0250322 | + | 0.0433571i | ||||
\(707\) | 48.3749 | 1.81933 | ||||||||
\(708\) | −7.38066 | + | 12.7837i | −0.277382 | + | 0.480440i | ||||
\(709\) | −6.63696 | + | 11.4956i | −0.249256 | + | 0.431724i | −0.963320 | − | 0.268357i | \(-0.913519\pi\) |
0.714063 | + | 0.700081i | \(0.246853\pi\) | |||||||
\(710\) | −0.370983 | −0.0139227 | ||||||||
\(711\) | −8.39401 | + | 14.5389i | −0.314800 | + | 0.545250i | ||||
\(712\) | 0.195517 | + | 0.338645i | 0.00732731 | + | 0.0126913i | ||||
\(713\) | 1.38334 | + | 2.39602i | 0.0518066 | + | 0.0897316i | ||||
\(714\) | 1.62007 | 0.0606296 | ||||||||
\(715\) | 15.1114 | + | 21.0118i | 0.565136 | + | 0.785796i | ||||
\(716\) | 51.3694 | 1.91976 | ||||||||
\(717\) | 0.159804 | + | 0.276788i | 0.00596799 | + | 0.0103369i | ||||
\(718\) | −0.338854 | − | 0.586912i | −0.0126459 | − | 0.0219034i | ||||
\(719\) | −11.2548 | + | 19.4939i | −0.419734 | + | 0.727000i | −0.995912 | − | 0.0903235i | \(-0.971210\pi\) |
0.576179 | + | 0.817324i | \(0.304543\pi\) | |||||||
\(720\) | 10.9678 | 0.408745 | ||||||||
\(721\) | −8.82749 | + | 15.2897i | −0.328753 | + | 0.569417i | ||||
\(722\) | −0.390276 | + | 0.675977i | −0.0145246 | + | 0.0251573i | ||||
\(723\) | 58.9712 | 2.19316 | ||||||||
\(724\) | −1.20463 | + | 2.08647i | −0.0447696 | + | 0.0775432i | ||||
\(725\) | −3.13291 | − | 5.42636i | −0.116353 | − | 0.201530i | ||||
\(726\) | 0.0869496 | + | 0.150601i | 0.00322700 | + | 0.00558933i | ||||
\(727\) | 19.7975 | 0.734248 | 0.367124 | − | 0.930172i | \(-0.380342\pi\) | ||||
0.367124 | + | 0.930172i | \(0.380342\pi\) | |||||||
\(728\) | 0.654518 | − | 1.45117i | 0.0242581 | − | 0.0537839i | ||||
\(729\) | 5.74359 | 0.212725 | ||||||||
\(730\) | −0.000934018 | − | 0.00161777i | −3.45695e−5 | − | 5.98762e-5i | ||||
\(731\) | 4.40992 | + | 7.63820i | 0.163107 | + | 0.282509i | ||||
\(732\) | 9.85548 | − | 17.0702i | 0.364269 | − | 0.630933i | ||||
\(733\) | −44.0398 | −1.62665 | −0.813323 | − | 0.581813i | \(-0.802344\pi\) | ||||
−0.813323 | + | 0.581813i | \(0.802344\pi\) | |||||||
\(734\) | 0.0701018 | − | 0.121420i | 0.00258750 | − | 0.00448169i | ||||
\(735\) | −0.467483 | + | 0.809705i | −0.0172434 | + | 0.0298664i | ||||
\(736\) | −1.36247 | −0.0502213 | ||||||||
\(737\) | −17.5334 | + | 30.3688i | −0.645852 | + | 1.11865i | ||||
\(738\) | −0.00223981 | − | 0.00387946i | −8.24484e−5 | − | 0.000142805i | ||||
\(739\) | −16.4368 | − | 28.4693i | −0.604636 | − | 1.04726i | −0.992109 | − | 0.125379i | \(-0.959985\pi\) |
0.387473 | − | 0.921881i | \(-0.373348\pi\) | |||||||
\(740\) | 3.41833 | 0.125660 | ||||||||
\(741\) | −0.255347 | + | 0.0255918i | −0.00938040 | + | 0.000940137i | ||||
\(742\) | −0.435006 | −0.0159696 | ||||||||
\(743\) | 3.31391 | + | 5.73986i | 0.121576 | + | 0.210575i | 0.920389 | − | 0.391003i | \(-0.127872\pi\) |
−0.798814 | + | 0.601579i | \(0.794539\pi\) | |||||||
\(744\) | 0.171931 | + | 0.297793i | 0.00630328 | + | 0.0109176i | ||||
\(745\) | 12.8079 | − | 22.1840i | 0.469246 | − | 0.812758i | ||||
\(746\) | 1.17219 | 0.0429168 | ||||||||
\(747\) | −4.02678 | + | 6.97458i | −0.147332 | + | 0.255187i | ||||
\(748\) | −25.2694 | + | 43.7679i | −0.923942 | + | 1.60031i | ||||
\(749\) | −42.8234 | −1.56473 | ||||||||
\(750\) | −0.516909 | + | 0.895312i | −0.0188748 | + | 0.0326922i | ||||
\(751\) | −9.92026 | − | 17.1824i | −0.361996 | − | 0.626995i | 0.626294 | − | 0.779587i | \(-0.284571\pi\) |
−0.988289 | + | 0.152593i | \(0.951238\pi\) | |||||||
\(752\) | 13.9497 | + | 24.1616i | 0.508694 | + | 0.881084i | ||||
\(753\) | 57.3764 | 2.09091 | ||||||||
\(754\) | −0.365840 | + | 0.811124i | −0.0133231 | + | 0.0295394i | ||||
\(755\) | −11.3525 | −0.413159 | ||||||||
\(756\) | 9.09643 | + | 15.7555i | 0.330834 | + | 0.573021i | ||||
\(757\) | 15.2756 | + | 26.4580i | 0.555200 | + | 0.961634i | 0.997888 | + | 0.0649585i | \(0.0206915\pi\) |
−0.442688 | + | 0.896676i | \(0.645975\pi\) | |||||||
\(758\) | 0.589178 | − | 1.02049i | 0.0213999 | − | 0.0370657i | ||||
\(759\) | −20.8993 | −0.758596 | ||||||||
\(760\) | 0.00555514 | − | 0.00962179i | 0.000201506 | − | 0.000349019i | ||||
\(761\) | 21.2874 | − | 36.8709i | 0.771669 | − | 1.33657i | −0.164978 | − | 0.986297i | \(-0.552755\pi\) |
0.936648 | − | 0.350273i | \(-0.113911\pi\) | |||||||
\(762\) | −0.862442 | −0.0312430 | ||||||||
\(763\) | −27.3322 | + | 47.3408i | −0.989493 | + | 1.71385i | ||||
\(764\) | −19.9064 | − | 34.4788i | −0.720187 | − | 1.24740i | ||||
\(765\) | −9.63280 | − | 16.6845i | −0.348275 | − | 0.603229i | ||||
\(766\) | −1.41134 | −0.0509936 | ||||||||
\(767\) | 5.23113 | − | 11.5982i | 0.188885 | − | 0.418788i | ||||
\(768\) | 33.2105 | 1.19838 | ||||||||
\(769\) | 13.4929 | + | 23.3703i | 0.486565 | + | 0.842756i | 0.999881 | − | 0.0154443i | \(-0.00491628\pi\) |
−0.513316 | + | 0.858200i | \(0.671583\pi\) | |||||||
\(770\) | 0.396339 | + | 0.686479i | 0.0142831 | + | 0.0247390i | ||||
\(771\) | −14.4073 | + | 24.9543i | −0.518868 | + | 0.898705i | ||||
\(772\) | 51.6907 | 1.86039 | ||||||||
\(773\) | 3.78686 | − | 6.55903i | 0.136204 | − | 0.235912i | −0.789853 | − | 0.613296i | \(-0.789843\pi\) |
0.926057 | + | 0.377384i | \(0.123176\pi\) | |||||||
\(774\) | −0.0357244 | + | 0.0618765i | −0.00128409 | + | 0.00222410i | ||||
\(775\) | 1.04310 | 0.0374693 | ||||||||
\(776\) | 0.257554 | − | 0.446097i | 0.00924566 | − | 0.0160140i | ||||
\(777\) | −2.41925 | − | 4.19026i | −0.0867900 | − | 0.150325i | ||||
\(778\) | −0.125239 | − | 0.216920i | −0.00449002 | − | 0.00777695i | ||||
\(779\) | 0.00268275 | 9.61196e−5 | ||||||||
\(780\) | −29.8521 | + | 2.99188i | −1.06888 | + | 0.107127i | ||||
\(781\) | −16.3810 | −0.586160 | ||||||||
\(782\) | 0.398315 | + | 0.689902i | 0.0142437 | + | 0.0246708i | ||||
\(783\) | −10.1731 | − | 17.6203i | −0.363557 | − | 0.629699i | ||||
\(784\) | −0.447936 | + | 0.775848i | −0.0159977 | + | 0.0277089i | ||||
\(785\) | 1.78453 | 0.0636927 | ||||||||
\(786\) | 0.532547 | − | 0.922399i | 0.0189953 | − | 0.0329009i | ||||
\(787\) | −1.47164 | + | 2.54895i | −0.0524583 | + | 0.0908604i | −0.891062 | − | 0.453881i | \(-0.850039\pi\) |
0.838604 | + | 0.544742i | \(0.183372\pi\) | |||||||
\(788\) | −24.1510 | −0.860343 | ||||||||
\(789\) | −22.6670 | + | 39.2603i | −0.806965 | + | 1.39770i | ||||
\(790\) | 0.496408 | + | 0.859804i | 0.0176614 | + | 0.0305905i | ||||
\(791\) | −0.710736 | − | 1.23103i | −0.0252708 | − | 0.0437704i | ||||
\(792\) | −0.819168 | −0.0291079 | ||||||||
\(793\) | −6.98519 | + | 15.4873i | −0.248051 | + | 0.549968i | ||||
\(794\) | 0.295927 | 0.0105020 | ||||||||
\(795\) | 8.20154 | + | 14.2055i | 0.290879 | + | 0.503817i | ||||
\(796\) | 17.1426 | + | 29.6918i | 0.607602 | + | 1.05240i | ||||
\(797\) | −3.67337 | + | 6.36247i | −0.130118 | + | 0.225370i | −0.923722 | − | 0.383064i | \(-0.874869\pi\) |
0.793604 | + | 0.608434i | \(0.208202\pi\) | |||||||
\(798\) | −0.00785974 | −0.000278232 | ||||||||
\(799\) | 24.5035 | − | 42.4414i | 0.866873 | − | 1.50147i | ||||
\(800\) | −0.256841 | + | 0.444861i | −0.00908069 | + | 0.0157282i | ||||
\(801\) | −3.28962 | −0.116233 | ||||||||
\(802\) | 0.289013 | − | 0.500586i | 0.0102054 | − | 0.0176763i | ||||
\(803\) | −0.0412423 | − | 0.0714338i | −0.00145541 | − | 0.00252084i | ||||
\(804\) | −20.3246 | − | 35.2033i | −0.716794 | − | 1.24152i | ||||
\(805\) | −14.7925 | −0.521368 | ||||||||
\(806\) | −0.0864894 | − | 0.120260i | −0.00304646 | − | 0.00423596i | ||||
\(807\) | 3.06194 | 0.107786 | ||||||||
\(808\) | 1.47821 | + | 2.56034i | 0.0520033 | + | 0.0900723i | ||||
\(809\) | −4.20373 | − | 7.28107i | −0.147795 | − | 0.255989i | 0.782617 | − | 0.622503i | \(-0.213884\pi\) |
−0.930412 | + | 0.366515i | \(0.880551\pi\) | |||||||
\(810\) | −0.459130 | + | 0.795237i | −0.0161322 | + | 0.0279418i | ||||
\(811\) | −15.7063 | −0.551524 | −0.275762 | − | 0.961226i | \(-0.588930\pi\) | ||||
−0.275762 | + | 0.961226i | \(0.588930\pi\) | |||||||
\(812\) | 16.1320 | − | 27.9415i | 0.566123 | − | 0.980554i | ||||
\(813\) | 9.73665 | − | 16.8644i | 0.341479 | − | 0.591460i | ||||
\(814\) | −0.127493 | −0.00446863 | ||||||||
\(815\) | 19.0502 | − | 32.9959i | 0.667299 | − | 1.15580i | ||||
\(816\) | −29.2674 | − | 50.6926i | −1.02456 | − | 1.77460i | ||||
\(817\) | −0.0213946 | − | 0.0370566i | −0.000748503 | − | 0.00129645i | ||||
\(818\) | 0.574360 | 0.0200820 | ||||||||
\(819\) | 7.81945 | + | 10.8726i | 0.273234 | + | 0.379919i | ||||
\(820\) | 0.313635 | 0.0109526 | ||||||||
\(821\) | −24.7471 | − | 42.8633i | −0.863680 | − | 1.49594i | −0.868352 | − | 0.495949i | \(-0.834820\pi\) |
0.00467124 | − | 0.999989i | \(-0.498513\pi\) | |||||||
\(822\) | −0.700750 | − | 1.21373i | −0.0244415 | − | 0.0423339i | ||||
\(823\) | −19.3056 | + | 33.4383i | −0.672952 | + | 1.16559i | 0.304112 | + | 0.952636i | \(0.401640\pi\) |
−0.977063 | + | 0.212950i | \(0.931693\pi\) | |||||||
\(824\) | −1.07898 | −0.0375880 | ||||||||
\(825\) | −3.93975 | + | 6.82385i | −0.137164 | + | 0.237576i | ||||
\(826\) | 0.194840 | − | 0.337473i | 0.00677936 | − | 0.0117422i | ||||
\(827\) | −7.87477 | −0.273833 | −0.136916 | − | 0.990583i | \(-0.543719\pi\) | ||||
−0.136916 | + | 0.990583i | \(0.543719\pi\) | |||||||
\(828\) | 3.82011 | − | 6.61662i | 0.132758 | − | 0.229943i | ||||
\(829\) | 11.4000 | + | 19.7454i | 0.395939 | + | 0.685786i | 0.993221 | − | 0.116246i | \(-0.0370859\pi\) |
−0.597282 | + | 0.802031i | \(0.703753\pi\) | |||||||
\(830\) | 0.238137 | + | 0.412465i | 0.00826586 | + | 0.0143169i | ||||
\(831\) | −41.7455 | −1.44813 | ||||||||
\(832\) | −28.5554 | + | 2.86192i | −0.989980 | + | 0.0992194i | ||||
\(833\) | 1.57365 | 0.0545239 | ||||||||
\(834\) | −0.827165 | − | 1.43269i | −0.0286424 | − | 0.0496100i | ||||
\(835\) | −7.57320 | − | 13.1172i | −0.262081 | − | 0.453938i | ||||
\(836\) | 0.122594 | − | 0.212339i | 0.00424001 | − | 0.00734391i | ||||
\(837\) | 3.38713 | 0.117077 | ||||||||
\(838\) | 0.619997 | − | 1.07387i | 0.0214175 | − | 0.0370961i | ||||
\(839\) | −8.91233 | + | 15.4366i | −0.307688 | + | 0.532931i | −0.977856 | − | 0.209278i | \(-0.932889\pi\) |
0.670168 | + | 0.742209i | \(0.266222\pi\) | |||||||
\(840\) | −1.83851 | −0.0634346 | ||||||||
\(841\) | −3.54146 | + | 6.13398i | −0.122119 | + | 0.211517i | ||||
\(842\) | 0.777572 | + | 1.34679i | 0.0267969 | + | 0.0464136i | ||||
\(843\) | −3.60489 | − | 6.24386i | −0.124159 | − | 0.215050i | ||||
\(844\) | −36.6564 | −1.26176 | ||||||||
\(845\) | 25.3452 | − | 5.13192i | 0.871901 | − | 0.176544i | ||||
\(846\) | 0.397002 | 0.0136492 | ||||||||
\(847\) | 2.71748 | + | 4.70681i | 0.0933737 | + | 0.161728i | ||||
\(848\) | 7.85860 | + | 13.6115i | 0.269866 | + | 0.467421i | ||||
\(849\) | 20.9257 | − | 36.2444i | 0.718169 | − | 1.24391i | ||||
\(850\) | 0.300347 | 0.0103018 | ||||||||
\(851\) | 1.18960 | − | 2.06046i | 0.0407791 | − | 0.0706315i | ||||
\(852\) | 9.49440 | − | 16.4448i | 0.325273 | − | 0.563389i | ||||
\(853\) | 10.3020 | 0.352733 | 0.176367 | − | 0.984325i | \(-0.443566\pi\) | ||||
0.176367 | + | 0.984325i | \(0.443566\pi\) | |||||||
\(854\) | −0.260173 | + | 0.450632i | −0.00890293 | + | 0.0154203i | ||||
\(855\) | 0.0467333 | + | 0.0809445i | 0.00159825 | + | 0.00276824i | ||||
\(856\) | −1.30857 | − | 2.26651i | −0.0447260 | − | 0.0774678i | ||||
\(857\) | −23.0595 | −0.787696 | −0.393848 | − | 0.919176i | \(-0.628856\pi\) | ||||
−0.393848 | + | 0.919176i | \(0.628856\pi\) | |||||||
\(858\) | 1.11339 | − | 0.111588i | 0.0380105 | − | 0.00380955i | ||||
\(859\) | 44.7548 | 1.52701 | 0.763507 | − | 0.645799i | \(-0.223476\pi\) | ||||
0.763507 | + | 0.645799i | \(0.223476\pi\) | |||||||
\(860\) | −2.50120 | − | 4.33221i | −0.0852903 | − | 0.147727i | ||||
\(861\) | −0.221968 | − | 0.384460i | −0.00756466 | − | 0.0131024i | ||||
\(862\) | −0.616807 | + | 1.06834i | −0.0210085 | + | 0.0363878i | ||||
\(863\) | −19.6422 | −0.668630 | −0.334315 | − | 0.942461i | \(-0.608505\pi\) | ||||
−0.334315 | + | 0.942461i | \(0.608505\pi\) | |||||||
\(864\) | −0.834006 | + | 1.44454i | −0.0283735 | + | 0.0491443i | ||||
\(865\) | −3.15905 | + | 5.47163i | −0.107411 | + | 0.186041i | ||||
\(866\) | 0.763619 | 0.0259488 | ||||||||
\(867\) | −33.6169 | + | 58.2262i | −1.14169 | + | 1.97746i | ||||
\(868\) | 2.68558 | + | 4.65156i | 0.0911546 | + | 0.157884i | ||||
\(869\) | 21.9193 | + | 37.9653i | 0.743561 | + | 1.28789i | ||||
\(870\) | 1.02763 | 0.0348398 | ||||||||
\(871\) | 20.4572 | + | 28.4448i | 0.693165 | + | 0.963814i | ||||
\(872\) | −3.34081 | −0.113134 | ||||||||
\(873\) | 2.16671 | + | 3.75285i | 0.0733319 | + | 0.127015i | ||||
\(874\) | −0.00193242 | − | 0.00334705i | −6.53650e−5 | − | 0.000113215i | ||||
\(875\) | −16.1552 | + | 27.9816i | −0.546145 | + | 0.945952i | ||||
\(876\) | 0.0956156 | 0.00323055 | ||||||||
\(877\) | −4.84953 | + | 8.39963i | −0.163757 | + | 0.283635i | −0.936213 | − | 0.351433i | \(-0.885695\pi\) |
0.772456 | + | 0.635068i | \(0.219028\pi\) | |||||||
\(878\) | −0.639091 | + | 1.10694i | −0.0215683 | + | 0.0373573i | ||||
\(879\) | 19.8849 | 0.670703 | ||||||||
\(880\) | 14.3201 | − | 24.8032i | 0.482731 | − | 0.836114i | ||||
\(881\) | −13.8842 | − | 24.0481i | −0.467769 | − | 0.810200i | 0.531553 | − | 0.847025i | \(-0.321609\pi\) |
−0.999322 | + | 0.0368255i | \(0.988275\pi\) | |||||||
\(882\) | 0.00637402 | + | 0.0110401i | 0.000214624 | + | 0.000371740i | ||||
\(883\) | 32.9099 | 1.10751 | 0.553754 | − | 0.832681i | \(-0.313195\pi\) | ||||
0.553754 | + | 0.832681i | \(0.313195\pi\) | |||||||
\(884\) | 29.4832 | + | 40.9951i | 0.991627 | + | 1.37881i | ||||
\(885\) | −14.6940 | −0.493932 | ||||||||
\(886\) | 0.292194 | + | 0.506095i | 0.00981646 | + | 0.0170026i | ||||
\(887\) | 12.1524 | + | 21.0486i | 0.408038 | + | 0.706743i | 0.994670 | − | 0.103111i | \(-0.0328797\pi\) |
−0.586632 | + | 0.809854i | \(0.699546\pi\) | |||||||
\(888\) | 0.147852 | − | 0.256087i | 0.00496158 | − | 0.00859370i | ||||
\(889\) | −26.9543 | −0.904019 | ||||||||
\(890\) | −0.0972714 | + | 0.168479i | −0.00326054 | + | 0.00564743i | ||||
\(891\) | −20.2733 | + | 35.1143i | −0.679180 | + | 1.17637i | ||||
\(892\) | −13.2405 | −0.443326 | ||||||||
\(893\) | −0.118878 | + | 0.205904i | −0.00397812 | + | 0.00689030i | ||||
\(894\) | −0.553743 | − | 0.959110i | −0.0185199 | − | 0.0320774i | ||||
\(895\) | 25.5675 | + | 44.2842i | 0.854627 | + | 1.48026i | ||||
\(896\) | −3.52625 | −0.117804 | ||||||||
\(897\) | −8.58534 | + | 19.0350i | −0.286656 | + | 0.635561i | ||||
\(898\) | −0.282151 | −0.00941550 | ||||||||
\(899\) | −3.00345 | − | 5.20213i | −0.100171 | − | 0.173501i | ||||
\(900\) | −1.44027 | − | 2.49461i | −0.0480089 | − | 0.0831538i | ||||
\(901\) | 13.8041 | − | 23.9094i | 0.459882 | − | 0.796539i | ||||
\(902\) | −0.0116976 | −0.000389488 | ||||||||
\(903\) | −3.54034 | + | 6.13205i | −0.117815 | + | 0.204062i | ||||
\(904\) | 0.0434364 | − | 0.0752341i | 0.00144467 | − | 0.00250225i | ||||
\(905\) | −2.39826 | −0.0797209 | ||||||||
\(906\) | −0.245409 | + | 0.425061i | −0.00815316 | + | 0.0141217i | ||||
\(907\) | 17.4338 | + | 30.1963i | 0.578881 | + | 1.00265i | 0.995608 | + | 0.0936195i | \(0.0298437\pi\) |
−0.416727 | + | 0.909032i | \(0.636823\pi\) | |||||||
\(908\) | −4.38833 | − | 7.60082i | −0.145632 | − | 0.252242i | ||||
\(909\) | −24.8713 | −0.824928 | ||||||||
\(910\) | 0.788058 | − | 0.0789820i | 0.0261239 | − | 0.00261823i | ||||
\(911\) | −47.0964 | −1.56037 | −0.780186 | − | 0.625547i | \(-0.784876\pi\) | ||||
−0.780186 | + | 0.625547i | \(0.784876\pi\) | |||||||
\(912\) | 0.141990 | + | 0.245934i | 0.00470177 | + | 0.00814370i | ||||
\(913\) | 10.5151 | + | 18.2127i | 0.348000 | + | 0.602754i | ||||
\(914\) | −0.357091 | + | 0.618500i | −0.0118115 | + | 0.0204582i | ||||
\(915\) | 19.6210 | 0.648652 | ||||||||
\(916\) | −16.4882 | + | 28.5585i | −0.544787 | + | 0.943599i | ||||
\(917\) | 16.6440 | − | 28.8282i | 0.549632 | − | 0.951990i | ||||
\(918\) | 0.975280 | 0.0321890 | ||||||||
\(919\) | 15.7620 | − | 27.3005i | 0.519939 | − | 0.900561i | −0.479792 | − | 0.877382i | \(-0.659288\pi\) |
0.999731 | − | 0.0231788i | \(-0.00737869\pi\) | |||||||
\(920\) | −0.452021 | − | 0.782923i | −0.0149027 | − | 0.0258122i | ||||
\(921\) | 27.0139 | + | 46.7894i | 0.890138 | + | 1.54176i | ||||
\(922\) | 0.247118 | 0.00813840 | ||||||||
\(923\) | −6.72927 | + | 14.9198i | −0.221496 | + | 0.491092i | ||||
\(924\) | −40.5733 | −1.33476 | ||||||||
\(925\) | −0.448508 | − | 0.776838i | −0.0147468 | − | 0.0255423i | ||||
\(926\) | 0.438640 | + | 0.759746i | 0.0144146 | + | 0.0249668i | ||||
\(927\) | 4.53853 | − | 7.86096i | 0.149065 | − | 0.258188i | ||||
\(928\) | 2.95813 | 0.0971054 | ||||||||
\(929\) | 0.834419 | − | 1.44526i | 0.0273764 | − | 0.0474173i | −0.852013 | − | 0.523521i | \(-0.824618\pi\) |
0.879389 | + | 0.476104i | \(0.157951\pi\) | |||||||
\(930\) | −0.0855370 | + | 0.148154i | −0.00280487 | + | 0.00485817i | ||||
\(931\) | −0.00763455 | −0.000250212 | ||||||||
\(932\) | 0.112097 | − | 0.194158i | 0.00367187 | − | 0.00635986i | ||||
\(933\) | −7.72922 | − | 13.3874i | −0.253043 | − | 0.438284i | ||||
\(934\) | 0.126640 | + | 0.219346i | 0.00414378 | + | 0.00717723i | ||||
\(935\) | −50.3083 | −1.64526 | ||||||||
\(936\) | −0.336511 | + | 0.746097i | −0.0109992 | + | 0.0243869i | ||||
\(937\) | 40.6727 | 1.32872 | 0.664359 | − | 0.747414i | \(-0.268705\pi\) | ||||
0.664359 | + | 0.747414i | \(0.268705\pi\) | |||||||
\(938\) | 0.536545 | + | 0.929323i | 0.0175188 | + | 0.0303435i | ||||
\(939\) | 17.6925 | + | 30.6444i | 0.577374 | + | 1.00004i | ||||
\(940\) | −13.8978 | + | 24.0718i | −0.453297 | + | 0.785134i | ||||
\(941\) | −3.23019 | −0.105301 | −0.0526505 | − | 0.998613i | \(-0.516767\pi\) | ||||
−0.0526505 | + | 0.998613i | \(0.516767\pi\) | |||||||
\(942\) | 0.0385766 | − | 0.0668166i | 0.00125689 | − | 0.00217700i | ||||
\(943\) | 0.109147 | − | 0.189049i | 0.00355433 | − | 0.00615628i | ||||
\(944\) | −14.0796 | −0.458250 | ||||||||
\(945\) | −9.05493 | + | 15.6836i | −0.294557 | + | 0.510187i | ||||
\(946\) | 0.0932872 | + | 0.161578i | 0.00303303 | + | 0.00525336i | ||||
\(947\) | 6.87960 | + | 11.9158i | 0.223557 | + | 0.387212i | 0.955886 | − | 0.293739i | \(-0.0948997\pi\) |
−0.732328 | + | 0.680952i | \(0.761566\pi\) | |||||||
\(948\) | −50.8174 | −1.65047 | ||||||||
\(949\) | −0.0820039 | + | 0.00821873i | −0.00266196 | + | 0.000266791i | ||||
\(950\) | −0.00145713 | −4.72755e−5 | ||||||||
\(951\) | 18.5353 | + | 32.1040i | 0.601047 | + | 1.04104i | ||||
\(952\) | 1.54721 | + | 2.67984i | 0.0501453 | + | 0.0868542i | ||||
\(953\) | 6.22403 | − | 10.7803i | 0.201616 | − | 0.349210i | −0.747433 | − | 0.664337i | \(-0.768714\pi\) |
0.949049 | + | 0.315128i | \(0.102047\pi\) | |||||||
\(954\) | 0.223652 | 0.00724100 | ||||||||
\(955\) | 19.8156 | − | 34.3215i | 0.641216 | − | 1.11062i | ||||
\(956\) | −0.152552 | + | 0.264228i | −0.00493389 | + | 0.00854575i | ||||
\(957\) | 45.3756 | 1.46679 | ||||||||
\(958\) | 0.453433 | − | 0.785370i | 0.0146498 | − | 0.0253741i | ||||
\(959\) | −21.9009 | − | 37.9334i | −0.707216 | − | 1.22493i | ||||
\(960\) | 16.5717 | + | 28.7030i | 0.534848 | + | 0.926385i | ||||
\(961\) | 1.00000 | 0.0322581 | ||||||||
\(962\) | −0.0523737 | + | 0.116121i | −0.00168859 | + | 0.00374388i | ||||
\(963\) | 22.0170 | 0.709489 | ||||||||
\(964\) | 28.1476 | + | 48.7531i | 0.906573 | + | 1.57023i | ||||
\(965\) | 25.7274 | + | 44.5612i | 0.828195 | + | 1.43448i | ||||
\(966\) | −0.319773 | + | 0.553862i | −0.0102885 | + | 0.0178202i | ||||
\(967\) | −39.6282 | −1.27436 | −0.637179 | − | 0.770716i | \(-0.719899\pi\) | ||||
−0.637179 | + | 0.770716i | \(0.719899\pi\) | |||||||
\(968\) | −0.166078 | + | 0.287656i | −0.00533795 | + | 0.00924560i | ||||
\(969\) | 0.249414 | − | 0.431999i | 0.00801235 | − | 0.0138778i | ||||
\(970\) | 0.256271 | 0.00822837 | ||||||||
\(971\) | −11.0548 | + | 19.1475i | −0.354766 | + | 0.614472i | −0.987078 | − | 0.160242i | \(-0.948773\pi\) |
0.632312 | + | 0.774714i | \(0.282106\pi\) | |||||||
\(972\) | −13.3478 | − | 23.1191i | −0.428131 | − | 0.741544i | ||||
\(973\) | −25.8518 | − | 44.7766i | −0.828770 | − | 1.43547i | ||||
\(974\) | 0.220988 | 0.00708091 | ||||||||
\(975\) | 4.59672 | + | 6.39153i | 0.147213 | + | 0.204693i | ||||
\(976\) | 18.8006 | 0.601793 | ||||||||
\(977\) | −4.75228 | − | 8.23119i | −0.152039 | − | 0.263339i | 0.779938 | − | 0.625857i | \(-0.215251\pi\) |
−0.931977 | + | 0.362518i | \(0.881917\pi\) | |||||||
\(978\) | −0.823623 | − | 1.42656i | −0.0263366 | − | 0.0456163i | ||||
\(979\) | −4.29510 | + | 7.43933i | −0.137272 | + | 0.237762i | ||||
\(980\) | −0.892539 | −0.0285111 | ||||||||
\(981\) | 14.0525 | − | 24.3396i | 0.448661 | − | 0.777103i | ||||
\(982\) | 0.197192 | − | 0.341547i | 0.00629266 | − | 0.0108992i | ||||
\(983\) | 34.7301 | 1.10772 | 0.553860 | − | 0.832610i | \(-0.313154\pi\) | ||||
0.553860 | + | 0.832610i | \(0.313154\pi\) | |||||||
\(984\) | 0.0135655 | − | 0.0234962i | 0.000432453 | − | 0.000749031i | ||||
\(985\) | −12.0204 | − | 20.8199i | −0.383002 | − | 0.663379i | ||||
\(986\) | −0.864804 | − | 1.49788i | −0.0275410 | − | 0.0477024i | ||||
\(987\) | 39.3435 | 1.25232 | ||||||||
\(988\) | −0.143037 | − | 0.198887i | −0.00455062 | − | 0.00632743i | ||||
\(989\) | −3.48175 | −0.110713 | ||||||||
\(990\) | −0.203772 | − | 0.352943i | −0.00647629 | − | 0.0112173i | ||||
\(991\) | −1.30857 | − | 2.26652i | −0.0415682 | − | 0.0719983i | 0.844493 | − | 0.535567i | \(-0.179902\pi\) |
−0.886061 | + | 0.463569i | \(0.846569\pi\) | |||||||
\(992\) | −0.246228 | + | 0.426479i | −0.00781773 | + | 0.0135407i | ||||
\(993\) | 39.0777 | 1.24009 | ||||||||
\(994\) | −0.250641 | + | 0.434122i | −0.00794984 | + | 0.0137695i | ||||
\(995\) | −17.0644 | + | 29.5563i | −0.540977 | + | 0.936999i | ||||
\(996\) | −24.3781 | −0.772451 | ||||||||
\(997\) | 17.7348 | − | 30.7176i | 0.561667 | − | 0.972836i | −0.435684 | − | 0.900100i | \(-0.643493\pi\) |
0.997351 | − | 0.0727364i | \(-0.0231732\pi\) | |||||||
\(998\) | −0.807910 | − | 1.39934i | −0.0255739 | − | 0.0442954i | ||||
\(999\) | −1.45638 | − | 2.52253i | −0.0460779 | − | 0.0798093i |
(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 | 403.2.f.b.94.9 | ✓ | 34 | |
13.3 | even | 3 | 5239.2.a.m.1.9 | 17 | |||
13.9 | even | 3 | inner | 403.2.f.b.373.9 | yes | 34 | |
13.10 | even | 6 | 5239.2.a.n.1.9 | 17 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.f.b.94.9 | ✓ | 34 | 1.1 | even | 1 | trivial | |
403.2.f.b.373.9 | yes | 34 | 13.9 | even | 3 | inner | |
5239.2.a.m.1.9 | 17 | 13.3 | even | 3 | |||
5239.2.a.n.1.9 | 17 | 13.10 | even | 6 |