Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [490,2,Mod(3,490)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(490, base_ring=CyclotomicField(84))
chi = DirichletCharacter(H, H._module([63, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("490.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 490 = 2 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 490.w (of order \(84\), degree \(24\), 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: | \(3.91266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(672\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{84})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{84}]$ |
Embedding invariants
Embedding label | 353.6 | ||
Character | \(\chi\) | \(=\) | 490.353 |
Dual form | 490.2.w.a.397.6 |
$q$-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 \(\left(\mathbb{Z}/490\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{13}{42}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.804598 | + | 0.593820i | −0.568937 | + | 0.419894i | ||||
\(3\) | −0.162479 | + | 0.858720i | −0.0938071 | + | 0.495782i | 0.903879 | + | 0.427789i | \(0.140707\pi\) |
−0.997686 | + | 0.0679935i | \(0.978340\pi\) | |||||||
\(4\) | 0.294755 | − | 0.955573i | 0.147378 | − | 0.477786i | ||||
\(5\) | 2.21896 | − | 0.276106i | 0.992347 | − | 0.123479i | ||||
\(6\) | −0.379195 | − | 0.787408i | −0.154806 | − | 0.321458i | ||||
\(7\) | 0.601908 | − | 2.57637i | 0.227500 | − | 0.973778i | ||||
\(8\) | 0.330279 | + | 0.943883i | 0.116771 | + | 0.333713i | ||||
\(9\) | 2.08162 | + | 0.816976i | 0.693873 | + | 0.272325i | ||||
\(10\) | −1.62141 | + | 1.53982i | −0.512735 | + | 0.486932i | ||||
\(11\) | −2.11322 | − | 5.38440i | −0.637160 | − | 1.62346i | −0.774236 | − | 0.632896i | \(-0.781866\pi\) |
0.137077 | − | 0.990560i | \(-0.456229\pi\) | |||||||
\(12\) | 0.772678 | + | 0.408372i | 0.223053 | + | 0.117887i | ||||
\(13\) | 0.0911017 | + | 0.808550i | 0.0252671 | + | 0.224252i | 1.00000 | 0.000876313i | \(0.000278939\pi\) | |
−0.974733 | + | 0.223375i | \(0.928292\pi\) | |||||||
\(14\) | 1.04561 | + | 2.43037i | 0.279451 | + | 0.649544i | ||||
\(15\) | −0.123435 | + | 1.95032i | −0.0318707 | + | 0.503571i | ||||
\(16\) | −0.826239 | − | 0.563320i | −0.206560 | − | 0.140830i | ||||
\(17\) | −0.128345 | − | 3.43010i | −0.0311283 | − | 0.831922i | −0.924177 | − | 0.381963i | \(-0.875248\pi\) |
0.893049 | − | 0.449959i | \(-0.148561\pi\) | |||||||
\(18\) | −2.16000 | + | 0.578771i | −0.509118 | + | 0.136418i | ||||
\(19\) | −3.76383 | − | 6.51914i | −0.863482 | − | 1.49559i | −0.868547 | − | 0.495607i | \(-0.834946\pi\) |
0.00506512 | − | 0.999987i | \(-0.498388\pi\) | |||||||
\(20\) | 0.390209 | − | 2.20176i | 0.0872534 | − | 0.492328i | ||||
\(21\) | 2.11459 | + | 0.935477i | 0.461441 | + | 0.204138i | ||||
\(22\) | 4.89766 | + | 3.07740i | 1.04418 | + | 0.656104i | ||||
\(23\) | −0.579741 | − | 0.0216924i | −0.120884 | − | 0.00452317i | −0.0231194 | − | 0.999733i | \(-0.507360\pi\) |
−0.0977649 | + | 0.995210i | \(0.531169\pi\) | |||||||
\(24\) | −0.864195 | + | 0.130256i | −0.176403 | + | 0.0265885i | ||||
\(25\) | 4.84753 | − | 1.22534i | 0.969506 | − | 0.245067i | ||||
\(26\) | −0.553434 | − | 0.596460i | −0.108537 | − | 0.116975i | ||||
\(27\) | −2.43469 | + | 3.87479i | −0.468556 | + | 0.745703i | ||||
\(28\) | −2.28450 | − | 1.33457i | −0.431730 | − | 0.252209i | ||||
\(29\) | 0.638402 | + | 0.145711i | 0.118548 | + | 0.0270579i | 0.281383 | − | 0.959595i | \(-0.409207\pi\) |
−0.162835 | + | 0.986653i | \(0.552064\pi\) | |||||||
\(30\) | −1.05883 | − | 1.64252i | −0.193314 | − | 0.299883i | ||||
\(31\) | 4.49880 | + | 2.59739i | 0.808009 | + | 0.466504i | 0.846264 | − | 0.532764i | \(-0.178847\pi\) |
−0.0382549 | + | 0.999268i | \(0.512180\pi\) | |||||||
\(32\) | 0.999301 | − | 0.0373912i | 0.176653 | − | 0.00660989i | ||||
\(33\) | 4.96704 | − | 0.939816i | 0.864651 | − | 0.163601i | ||||
\(34\) | 2.14013 | + | 2.68364i | 0.367030 | + | 0.460240i | ||||
\(35\) | 0.624254 | − | 5.88305i | 0.105518 | − | 0.994417i | ||||
\(36\) | 1.39425 | − | 1.74833i | 0.232375 | − | 0.291389i | ||||
\(37\) | −4.66396 | + | 8.82463i | −0.766750 | + | 1.45076i | 0.122079 | + | 0.992520i | \(0.461044\pi\) |
−0.888828 | + | 0.458241i | \(0.848480\pi\) | |||||||
\(38\) | 6.89957 | + | 3.01025i | 1.11926 | + | 0.488327i | ||||
\(39\) | −0.709121 | − | 0.0531412i | −0.113550 | − | 0.00850941i | ||||
\(40\) | 0.993487 | + | 2.00324i | 0.157084 | + | 0.316741i | ||||
\(41\) | 1.30896 | − | 2.71808i | 0.204425 | − | 0.424493i | −0.773399 | − | 0.633919i | \(-0.781445\pi\) |
0.977825 | + | 0.209426i | \(0.0671595\pi\) | |||||||
\(42\) | −2.25690 | + | 0.503003i | −0.348247 | + | 0.0776150i | ||||
\(43\) | 8.71408 | + | 3.04919i | 1.32889 | + | 0.464997i | 0.899025 | − | 0.437898i | \(-0.144277\pi\) |
0.429861 | + | 0.902895i | \(0.358563\pi\) | |||||||
\(44\) | −5.76807 | + | 0.432257i | −0.869569 | + | 0.0651652i | ||||
\(45\) | 4.84460 | + | 1.23808i | 0.722190 | + | 0.184563i | ||||
\(46\) | 0.479340 | − | 0.326808i | 0.0706748 | − | 0.0481852i | ||||
\(47\) | 5.19124 | + | 7.03388i | 0.757220 | + | 1.02600i | 0.998457 | + | 0.0555305i | \(0.0176850\pi\) |
−0.241237 | + | 0.970466i | \(0.577553\pi\) | |||||||
\(48\) | 0.617981 | − | 0.617981i | 0.0891978 | − | 0.0891978i | ||||
\(49\) | −6.27541 | − | 3.10148i | −0.896488 | − | 0.443069i | ||||
\(50\) | −3.17268 | + | 3.86446i | −0.448685 | + | 0.546518i | ||||
\(51\) | 2.96635 | + | 0.447106i | 0.415373 | + | 0.0626073i | ||||
\(52\) | 0.799481 | + | 0.151270i | 0.110868 | + | 0.0209774i | ||||
\(53\) | 0.271301 | + | 0.513327i | 0.0372661 | + | 0.0705109i | 0.902045 | − | 0.431642i | \(-0.142065\pi\) |
−0.864779 | + | 0.502152i | \(0.832542\pi\) | |||||||
\(54\) | −0.341981 | − | 4.56341i | −0.0465377 | − | 0.621002i | ||||
\(55\) | −6.17581 | − | 11.3643i | −0.832746 | − | 1.53236i | ||||
\(56\) | 2.63059 | − | 0.282792i | 0.351528 | − | 0.0377896i | ||||
\(57\) | 6.20966 | − | 2.17286i | 0.822490 | − | 0.287802i | ||||
\(58\) | −0.600183 | + | 0.261857i | −0.0788079 | + | 0.0343836i | ||||
\(59\) | 0.490474 | − | 6.54493i | 0.0638543 | − | 0.852077i | −0.869686 | − | 0.493605i | \(-0.835679\pi\) |
0.933541 | − | 0.358472i | \(-0.116702\pi\) | |||||||
\(60\) | 1.82729 | + | 0.692819i | 0.235903 | + | 0.0894425i | ||||
\(61\) | 3.33729 | + | 10.8192i | 0.427296 | + | 1.38526i | 0.871966 | + | 0.489566i | \(0.162845\pi\) |
−0.444670 | + | 0.895695i | \(0.646679\pi\) | |||||||
\(62\) | −5.16211 | + | 0.581630i | −0.655588 | + | 0.0738671i | ||||
\(63\) | 3.35778 | − | 4.87129i | 0.423040 | − | 0.613725i | ||||
\(64\) | −0.781831 | + | 0.623490i | −0.0977289 | + | 0.0779362i | ||||
\(65\) | 0.425397 | + | 1.76898i | 0.0527640 | + | 0.219415i | ||||
\(66\) | −3.43839 | + | 3.70570i | −0.423237 | + | 0.456141i | ||||
\(67\) | 2.33065 | + | 8.69810i | 0.284734 | + | 1.06264i | 0.949033 | + | 0.315175i | \(0.102063\pi\) |
−0.664299 | + | 0.747467i | \(0.731270\pi\) | |||||||
\(68\) | −3.31554 | − | 0.888398i | −0.402069 | − | 0.107734i | ||||
\(69\) | 0.112823 | − | 0.494311i | 0.0135823 | − | 0.0595080i | ||||
\(70\) | 2.99120 | + | 5.10419i | 0.357517 | + | 0.610067i | ||||
\(71\) | −1.12227 | − | 4.91697i | −0.133189 | − | 0.583538i | −0.996839 | − | 0.0794465i | \(-0.974685\pi\) |
0.863650 | − | 0.504091i | \(-0.168172\pi\) | |||||||
\(72\) | −0.0836142 | + | 2.23464i | −0.00985403 | + | 0.263354i | ||||
\(73\) | −0.801991 | + | 1.08666i | −0.0938659 | + | 0.127184i | −0.849014 | − | 0.528371i | \(-0.822803\pi\) |
0.755148 | + | 0.655554i | \(0.227565\pi\) | |||||||
\(74\) | −1.48764 | − | 9.86983i | −0.172934 | − | 1.14734i | ||||
\(75\) | 0.264600 | + | 4.36176i | 0.0305534 | + | 0.503653i | ||||
\(76\) | −7.33893 | + | 1.67506i | −0.841832 | + | 0.192143i | ||||
\(77\) | −15.1442 | + | 2.20353i | −1.72584 | + | 0.251116i | ||||
\(78\) | 0.602113 | − | 0.378333i | 0.0681759 | − | 0.0428378i | ||||
\(79\) | 7.93870 | − | 4.58341i | 0.893174 | − | 0.515674i | 0.0181946 | − | 0.999834i | \(-0.494208\pi\) |
0.874979 | + | 0.484160i | \(0.160875\pi\) | |||||||
\(80\) | −1.98892 | − | 1.02185i | −0.222368 | − | 0.114247i | ||||
\(81\) | 1.98598 | + | 1.84272i | 0.220664 | + | 0.204746i | ||||
\(82\) | 0.560866 | + | 2.96425i | 0.0619373 | + | 0.327347i | ||||
\(83\) | −8.96901 | − | 1.01056i | −0.984476 | − | 0.110924i | −0.394976 | − | 0.918692i | \(-0.629247\pi\) |
−0.589501 | + | 0.807768i | \(0.700676\pi\) | |||||||
\(84\) | 1.51720 | − | 1.74491i | 0.165540 | − | 0.190385i | ||||
\(85\) | −1.23187 | − | 7.57581i | −0.133615 | − | 0.821712i | ||||
\(86\) | −8.82200 | + | 2.72123i | −0.951301 | + | 0.293437i | ||||
\(87\) | −0.228852 | + | 0.524534i | −0.0245355 | + | 0.0562360i | ||||
\(88\) | 4.38429 | − | 3.77299i | 0.467367 | − | 0.402202i | ||||
\(89\) | −5.80089 | + | 14.7804i | −0.614893 | + | 1.56672i | 0.195418 | + | 0.980720i | \(0.437394\pi\) |
−0.810310 | + | 0.586001i | \(0.800702\pi\) | |||||||
\(90\) | −4.63315 | + | 1.88066i | −0.488377 | + | 0.198239i | ||||
\(91\) | 2.13796 | + | 0.251961i | 0.224119 | + | 0.0264127i | ||||
\(92\) | −0.191610 | + | 0.547591i | −0.0199768 | + | 0.0570903i | ||||
\(93\) | −2.96139 | + | 3.44119i | −0.307082 | + | 0.356835i | ||||
\(94\) | −8.35372 | − | 2.57678i | −0.861620 | − | 0.265775i | ||||
\(95\) | −10.1517 | − | 13.4265i | −1.04155 | − | 1.37753i | ||||
\(96\) | −0.130256 | + | 0.864195i | −0.0132942 | + | 0.0882015i | ||||
\(97\) | 2.71061 | + | 2.71061i | 0.275221 | + | 0.275221i | 0.831198 | − | 0.555977i | \(-0.187656\pi\) |
−0.555977 | + | 0.831198i | \(0.687656\pi\) | |||||||
\(98\) | 6.89091 | − | 1.23102i | 0.696087 | − | 0.124352i | ||||
\(99\) | − | 12.9347i | − | 1.29999i | ||||||
\(100\) | 0.257937 | − | 4.99334i | 0.0257937 | − | 0.499334i | ||||
\(101\) | −8.88710 | − | 13.0350i | −0.884299 | − | 1.29703i | −0.954106 | − | 0.299468i | \(-0.903191\pi\) |
0.0698068 | − | 0.997561i | \(-0.477762\pi\) | |||||||
\(102\) | −2.65222 | + | 1.40174i | −0.262609 | + | 0.138793i | ||||
\(103\) | −4.64051 | − | 3.99348i | −0.457243 | − | 0.393490i | 0.393287 | − | 0.919416i | \(-0.371338\pi\) |
−0.850530 | + | 0.525926i | \(0.823719\pi\) | |||||||
\(104\) | −0.733088 | + | 0.353037i | −0.0718852 | + | 0.0346181i | ||||
\(105\) | 4.95047 | + | 1.49193i | 0.483116 | + | 0.145597i | ||||
\(106\) | −0.523112 | − | 0.251918i | −0.0508092 | − | 0.0244684i | ||||
\(107\) | 0.0482072 | + | 0.110492i | 0.00466037 | + | 0.0106817i | 0.918877 | − | 0.394544i | \(-0.129098\pi\) |
−0.914217 | + | 0.405226i | \(0.867193\pi\) | |||||||
\(108\) | 2.98500 | + | 3.46864i | 0.287232 | + | 0.333770i | ||||
\(109\) | 5.79198 | − | 2.27318i | 0.554771 | − | 0.217731i | −0.0713585 | − | 0.997451i | \(-0.522733\pi\) |
0.626129 | + | 0.779719i | \(0.284638\pi\) | |||||||
\(110\) | 11.7174 | + | 5.47634i | 1.11721 | + | 0.522149i | ||||
\(111\) | −6.82010 | − | 5.43885i | −0.647335 | − | 0.516233i | ||||
\(112\) | −1.94864 | + | 1.78963i | −0.184129 | + | 0.169104i | ||||
\(113\) | −0.244083 | + | 2.16630i | −0.0229614 | + | 0.203788i | −0.999955 | − | 0.00948021i | \(-0.996982\pi\) |
0.976994 | + | 0.213268i | \(0.0684109\pi\) | |||||||
\(114\) | −3.70600 | + | 5.43570i | −0.347098 | + | 0.509100i | ||||
\(115\) | −1.29241 | + | 0.111936i | −0.120518 | + | 0.0104381i | ||||
\(116\) | 0.327410 | − | 0.567091i | 0.0303993 | − | 0.0526531i | ||||
\(117\) | −0.470927 | + | 1.75752i | −0.0435372 | + | 0.162483i | ||||
\(118\) | 3.49188 | + | 5.55729i | 0.321453 | + | 0.511590i | ||||
\(119\) | −8.91449 | − | 1.73394i | −0.817190 | − | 0.158950i | ||||
\(120\) | −1.88165 | + | 0.527643i | −0.171770 | + | 0.0481670i | ||||
\(121\) | −16.4625 | + | 15.2749i | −1.49659 | + | 1.38863i | ||||
\(122\) | −9.10985 | − | 6.72338i | −0.824767 | − | 0.608706i | ||||
\(123\) | 2.12139 | + | 1.56566i | 0.191280 | + | 0.141171i | ||||
\(124\) | 3.80804 | − | 3.53334i | 0.341972 | − | 0.317303i | ||||
\(125\) | 10.4181 | − | 4.05740i | 0.931826 | − | 0.362905i | ||||
\(126\) | 0.191008 | + | 5.91335i | 0.0170163 | + | 0.526803i | ||||
\(127\) | 8.92968 | + | 14.2115i | 0.792381 | + | 1.26107i | 0.961318 | + | 0.275440i | \(0.0888235\pi\) |
−0.168938 | + | 0.985627i | \(0.554034\pi\) | |||||||
\(128\) | 0.258819 | − | 0.965926i | 0.0228766 | − | 0.0853766i | ||||
\(129\) | −4.03425 | + | 6.98753i | −0.355196 | + | 0.615218i | ||||
\(130\) | −1.39273 | − | 1.17071i | −0.122151 | − | 0.102678i | ||||
\(131\) | −11.7586 | + | 17.2466i | −1.02735 | + | 1.50685i | −0.174523 | + | 0.984653i | \(0.555838\pi\) |
−0.852827 | + | 0.522193i | \(0.825114\pi\) | |||||||
\(132\) | 0.566000 | − | 5.02339i | 0.0492640 | − | 0.437230i | ||||
\(133\) | −19.0612 | + | 5.77311i | −1.65282 | + | 0.500592i | ||||
\(134\) | −7.04034 | − | 5.61449i | −0.608193 | − | 0.485018i | ||||
\(135\) | −4.33262 | + | 9.27022i | −0.372892 | + | 0.797853i | ||||
\(136\) | 3.19523 | − | 1.25403i | 0.273989 | − | 0.107533i | ||||
\(137\) | −5.27935 | − | 6.13471i | −0.451045 | − | 0.524124i | 0.485705 | − | 0.874123i | \(-0.338563\pi\) |
−0.936750 | + | 0.349999i | \(0.886182\pi\) | |||||||
\(138\) | 0.202754 | + | 0.464718i | 0.0172596 | + | 0.0395594i | ||||
\(139\) | −0.713012 | − | 0.343369i | −0.0604769 | − | 0.0291241i | 0.403401 | − | 0.915023i | \(-0.367828\pi\) |
−0.463878 | + | 0.885899i | \(0.653542\pi\) | |||||||
\(140\) | −5.43768 | − | 2.33058i | −0.459568 | − | 0.196970i | ||||
\(141\) | −6.88360 | + | 3.31497i | −0.579704 | + | 0.279171i | ||||
\(142\) | 3.82277 | + | 3.28976i | 0.320800 | + | 0.276071i | ||||
\(143\) | 4.16104 | − | 2.19917i | 0.347963 | − | 0.183904i | ||||
\(144\) | −1.25970 | − | 1.84764i | −0.104975 | − | 0.153970i | ||||
\(145\) | 1.45682 | + | 0.147060i | 0.120982 | + | 0.0122126i | ||||
\(146\) | − | 1.35056i | − | 0.111773i | ||||||
\(147\) | 3.68293 | − | 4.88490i | 0.303763 | − | 0.402900i | ||||
\(148\) | 7.05786 | + | 7.05786i | 0.580152 | + | 0.580152i | ||||
\(149\) | 1.06422 | − | 7.06064i | 0.0871843 | − | 0.578430i | −0.901998 | − | 0.431740i | \(-0.857900\pi\) |
0.989182 | − | 0.146690i | \(-0.0468620\pi\) | |||||||
\(150\) | −2.80300 | − | 3.35234i | −0.228864 | − | 0.273717i | ||||
\(151\) | 7.76038 | + | 2.39376i | 0.631531 | + | 0.194801i | 0.593963 | − | 0.804493i | \(-0.297563\pi\) |
0.0375681 | + | 0.999294i | \(0.488039\pi\) | |||||||
\(152\) | 4.91020 | − | 5.70575i | 0.398270 | − | 0.462798i | ||||
\(153\) | 2.53515 | − | 7.24503i | 0.204954 | − | 0.585726i | ||||
\(154\) | 10.8765 | − | 10.7659i | 0.876452 | − | 0.867540i | ||||
\(155\) | 10.6998 | + | 4.52134i | 0.859429 | + | 0.363162i | ||||
\(156\) | −0.259797 | + | 0.661953i | −0.0208004 | + | 0.0529986i | ||||
\(157\) | 1.08159 | − | 0.930782i | 0.0863201 | − | 0.0742845i | −0.608069 | − | 0.793884i | \(-0.708056\pi\) |
0.694389 | + | 0.719600i | \(0.255675\pi\) | |||||||
\(158\) | −3.66574 | + | 8.40197i | −0.291631 | + | 0.668425i | ||||
\(159\) | −0.484885 | + | 0.149567i | −0.0384539 | + | 0.0118615i | ||||
\(160\) | 2.20708 | − | 0.358883i | 0.174485 | − | 0.0283722i | ||||
\(161\) | −0.404838 | + | 1.48057i | −0.0319057 | + | 0.116685i | ||||
\(162\) | −2.69216 | − | 0.303333i | −0.211516 | − | 0.0238321i | ||||
\(163\) | −2.99820 | − | 15.8459i | −0.234837 | − | 1.24114i | −0.879211 | − | 0.476433i | \(-0.841929\pi\) |
0.644373 | − | 0.764711i | \(-0.277118\pi\) | |||||||
\(164\) | −2.21150 | − | 2.05198i | −0.172689 | − | 0.160232i | ||||
\(165\) | 10.7622 | − | 3.45684i | 0.837833 | − | 0.269115i | ||||
\(166\) | 7.81654 | − | 4.51288i | 0.606681 | − | 0.350267i | ||||
\(167\) | −11.3481 | + | 7.13045i | −0.878139 | + | 0.551771i | −0.893982 | − | 0.448103i | \(-0.852100\pi\) |
0.0158430 | + | 0.999874i | \(0.494957\pi\) | |||||||
\(168\) | −0.184577 | + | 2.30489i | −0.0142404 | + | 0.177826i | ||||
\(169\) | 12.0286 | − | 2.74545i | 0.925278 | − | 0.211189i | ||||
\(170\) | 5.48983 | + | 5.36398i | 0.421051 | + | 0.411398i | ||||
\(171\) | −2.50888 | − | 16.6453i | −0.191859 | − | 1.27290i | ||||
\(172\) | 5.48224 | − | 7.42818i | 0.418017 | − | 0.566393i | ||||
\(173\) | 0.344683 | − | 9.21185i | 0.0262058 | − | 0.700364i | −0.922832 | − | 0.385202i | \(-0.874132\pi\) |
0.949038 | − | 0.315162i | \(-0.102059\pi\) | |||||||
\(174\) | −0.127345 | − | 0.557936i | −0.00965402 | − | 0.0422970i | ||||
\(175\) | −0.239156 | − | 13.2266i | −0.0180785 | − | 0.999837i | ||||
\(176\) | −1.28711 | + | 5.63922i | −0.0970199 | + | 0.425072i | ||||
\(177\) | 5.54057 | + | 1.48459i | 0.416455 | + | 0.111589i | ||||
\(178\) | −4.10953 | − | 15.3370i | −0.308022 | − | 1.14955i | ||||
\(179\) | −6.02431 | + | 6.49266i | −0.450278 | + | 0.485284i | −0.916869 | − | 0.399189i | \(-0.869292\pi\) |
0.466591 | + | 0.884473i | \(0.345482\pi\) | |||||||
\(180\) | 2.61105 | − | 4.26443i | 0.194616 | − | 0.317852i | ||||
\(181\) | 6.00237 | − | 4.78673i | 0.446153 | − | 0.355795i | −0.374495 | − | 0.927229i | \(-0.622184\pi\) |
0.820648 | + | 0.571434i | \(0.193613\pi\) | |||||||
\(182\) | −1.86982 | + | 1.06684i | −0.138600 | + | 0.0790793i | ||||
\(183\) | −9.83293 | + | 1.10791i | −0.726871 | + | 0.0818987i | ||||
\(184\) | −0.171001 | − | 0.554372i | −0.0126064 | − | 0.0408689i | ||||
\(185\) | −7.91257 | + | 20.8692i | −0.581744 | + | 1.53434i | ||||
\(186\) | 0.339275 | − | 4.52731i | 0.0248768 | − | 0.331958i | ||||
\(187\) | −18.1978 | + | 7.93963i | −1.33076 | + | 0.580603i | ||||
\(188\) | 8.25153 | − | 2.88733i | 0.601805 | − | 0.210581i | ||||
\(189\) | 8.51745 | + | 8.60494i | 0.619553 | + | 0.625917i | ||||
\(190\) | 16.1410 | + | 4.77460i | 1.17099 | + | 0.346386i | ||||
\(191\) | 1.54070 | + | 20.5593i | 0.111481 | + | 1.48762i | 0.719943 | + | 0.694033i | \(0.244168\pi\) |
−0.608462 | + | 0.793583i | \(0.708213\pi\) | |||||||
\(192\) | −0.408372 | − | 0.772678i | −0.0294717 | − | 0.0557633i | ||||
\(193\) | 18.0457 | + | 3.41442i | 1.29895 | + | 0.245775i | 0.788983 | − | 0.614416i | \(-0.210608\pi\) |
0.509972 | + | 0.860191i | \(0.329656\pi\) | |||||||
\(194\) | −3.79057 | − | 0.571336i | −0.272147 | − | 0.0410196i | ||||
\(195\) | −1.58818 | + | 0.0778746i | −0.113732 | + | 0.00557672i | ||||
\(196\) | −4.81340 | + | 5.08244i | −0.343814 | + | 0.363031i | ||||
\(197\) | 7.53218 | − | 7.53218i | 0.536646 | − | 0.536646i | −0.385897 | − | 0.922542i | \(-0.626108\pi\) |
0.922542 | + | 0.385897i | \(0.126108\pi\) | |||||||
\(198\) | 7.68090 | + | 10.4072i | 0.545858 | + | 0.739611i | ||||
\(199\) | −7.77601 | + | 5.30160i | −0.551227 | + | 0.375820i | −0.806668 | − | 0.591004i | \(-0.798732\pi\) |
0.255441 | + | 0.966825i | \(0.417779\pi\) | |||||||
\(200\) | 2.75761 | + | 4.17080i | 0.194993 | + | 0.294920i | ||||
\(201\) | −7.84792 | + | 0.588120i | −0.553549 | + | 0.0414828i | ||||
\(202\) | 14.8910 | + | 5.21058i | 1.04773 | + | 0.366615i | ||||
\(203\) | 0.759666 | − | 1.55706i | 0.0533181 | − | 0.109284i | ||||
\(204\) | 1.30159 | − | 2.70278i | 0.0911295 | − | 0.189232i | ||||
\(205\) | 2.15404 | − | 6.39272i | 0.150445 | − | 0.446487i | ||||
\(206\) | 6.10516 | + | 0.457518i | 0.425366 | + | 0.0318768i | ||||
\(207\) | −1.18908 | − | 0.518789i | −0.0826466 | − | 0.0360584i | ||||
\(208\) | 0.380201 | − | 0.719375i | 0.0263622 | − | 0.0498797i | ||||
\(209\) | −27.1479 | + | 34.0423i | −1.87786 | + | 2.35476i | ||||
\(210\) | −4.86907 | + | 1.73928i | −0.335998 | + | 0.120022i | ||||
\(211\) | 5.56301 | + | 6.97579i | 0.382973 | + | 0.480233i | 0.935533 | − | 0.353240i | \(-0.114920\pi\) |
−0.552559 | + | 0.833474i | \(0.686349\pi\) | |||||||
\(212\) | 0.570489 | − | 0.107942i | 0.0391813 | − | 0.00741351i | ||||
\(213\) | 4.40465 | − | 0.164810i | 0.301802 | − | 0.0112926i | ||||
\(214\) | −0.104400 | − | 0.0602753i | −0.00713663 | − | 0.00412033i | ||||
\(215\) | 20.1781 | + | 4.36000i | 1.37613 | + | 0.297350i | ||||
\(216\) | −4.46148 | − | 1.01830i | −0.303565 | − | 0.0692867i | ||||
\(217\) | 9.39971 | − | 10.0272i | 0.638094 | − | 0.680692i | ||||
\(218\) | −3.31035 | + | 5.26839i | −0.224205 | + | 0.356820i | ||||
\(219\) | −0.802830 | − | 0.865245i | −0.0542502 | − | 0.0584678i | ||||
\(220\) | −12.6797 | + | 2.55176i | −0.854868 | + | 0.172040i | ||||
\(221\) | 2.76172 | − | 0.416262i | 0.185773 | − | 0.0280008i | ||||
\(222\) | 8.71713 | + | 0.326172i | 0.585056 | + | 0.0218912i | ||||
\(223\) | −15.4814 | − | 9.72761i | −1.03671 | − | 0.651409i | −0.0976722 | − | 0.995219i | \(-0.531140\pi\) |
−0.939039 | + | 0.343810i | \(0.888283\pi\) | |||||||
\(224\) | 0.505154 | − | 2.59708i | 0.0337520 | − | 0.173525i | ||||
\(225\) | 11.0918 | + | 1.40963i | 0.739452 | + | 0.0939754i | ||||
\(226\) | −1.09000 | − | 1.88794i | −0.0725059 | − | 0.125584i | ||||
\(227\) | −4.88675 | + | 1.30940i | −0.324345 | + | 0.0869080i | −0.417318 | − | 0.908761i | \(-0.637030\pi\) |
0.0929726 | + | 0.995669i | \(0.470363\pi\) | |||||||
\(228\) | −0.245991 | − | 6.57425i | −0.0162911 | − | 0.435390i | ||||
\(229\) | 11.0260 | + | 7.51737i | 0.728616 | + | 0.496762i | 0.869913 | − | 0.493205i | \(-0.164175\pi\) |
−0.141297 | + | 0.989967i | \(0.545127\pi\) | |||||||
\(230\) | 0.973400 | − | 0.857522i | 0.0641841 | − | 0.0565433i | ||||
\(231\) | 0.568388 | − | 13.3627i | 0.0373972 | − | 0.879198i | ||||
\(232\) | 0.0733166 | + | 0.650703i | 0.00481347 | + | 0.0427207i | ||||
\(233\) | 13.2909 | + | 7.02445i | 0.870716 | + | 0.460187i | 0.842048 | − | 0.539402i | \(-0.181350\pi\) |
0.0286676 | + | 0.999589i | \(0.490874\pi\) | |||||||
\(234\) | −0.664746 | − | 1.69374i | −0.0434558 | − | 0.110724i | ||||
\(235\) | 13.4612 | + | 14.1745i | 0.878114 | + | 0.924645i | ||||
\(236\) | −6.10958 | − | 2.39784i | −0.397700 | − | 0.156086i | ||||
\(237\) | 2.64600 | + | 7.56183i | 0.171876 | + | 0.491194i | ||||
\(238\) | 8.20223 | − | 3.89848i | 0.531671 | − | 0.252701i | ||||
\(239\) | −13.2782 | − | 27.5725i | −0.858897 | − | 1.78352i | −0.557940 | − | 0.829881i | \(-0.688408\pi\) |
−0.300958 | − | 0.953637i | \(-0.597306\pi\) | |||||||
\(240\) | 1.20064 | − | 1.54190i | 0.0775012 | − | 0.0995292i | ||||
\(241\) | 1.70811 | − | 5.53756i | 0.110029 | − | 0.356705i | −0.883766 | − | 0.467928i | \(-0.845001\pi\) |
0.993795 | + | 0.111223i | \(0.0354768\pi\) | |||||||
\(242\) | 4.17510 | − | 22.0659i | 0.268385 | − | 1.41845i | ||||
\(243\) | −12.9511 | + | 9.55834i | −0.830813 | + | 0.613168i | ||||
\(244\) | 11.3222 | 0.724833 | ||||||||
\(245\) | −14.7812 | − | 5.14937i | −0.944336 | − | 0.328981i | ||||
\(246\) | −2.63659 | −0.168103 | ||||||||
\(247\) | 4.92816 | − | 3.63715i | 0.313572 | − | 0.231426i | ||||
\(248\) | −0.965768 | + | 5.10421i | −0.0613264 | + | 0.324118i | ||||
\(249\) | 2.32506 | − | 7.53767i | 0.147345 | − | 0.477681i | ||||
\(250\) | −5.97304 | + | 9.45107i | −0.377768 | + | 0.597738i | ||||
\(251\) | 2.80415 | + | 5.82288i | 0.176997 | + | 0.367537i | 0.970527 | − | 0.240994i | \(-0.0774734\pi\) |
−0.793530 | + | 0.608531i | \(0.791759\pi\) | |||||||
\(252\) | −3.66515 | − | 4.64444i | −0.230883 | − | 0.292572i | ||||
\(253\) | 1.10832 | + | 3.16740i | 0.0696795 | + | 0.199132i | ||||
\(254\) | −15.6239 | − | 6.13192i | −0.980329 | − | 0.384751i | ||||
\(255\) | 6.70566 | + | 0.173079i | 0.419924 | + | 0.0108386i | ||||
\(256\) | 0.365341 | + | 0.930874i | 0.0228338 | + | 0.0581796i | ||||
\(257\) | −2.24636 | − | 1.18723i | −0.140124 | − | 0.0740577i | 0.395737 | − | 0.918364i | \(-0.370489\pi\) |
−0.535861 | + | 0.844306i | \(0.680013\pi\) | |||||||
\(258\) | −0.903386 | − | 8.01777i | −0.0562424 | − | 0.499165i | ||||
\(259\) | 19.9283 | + | 17.3277i | 1.23828 | + | 1.07669i | ||||
\(260\) | 1.81578 | + | 0.114920i | 0.112610 | + | 0.00712701i | ||||
\(261\) | 1.20987 | + | 0.824875i | 0.0748890 | + | 0.0510584i | ||||
\(262\) | −0.780492 | − | 20.8591i | −0.0482189 | − | 1.28868i | ||||
\(263\) | 28.4237 | − | 7.61611i | 1.75268 | − | 0.469630i | 0.767486 | − | 0.641066i | \(-0.221507\pi\) |
0.985195 | + | 0.171436i | \(0.0548407\pi\) | |||||||
\(264\) | 2.52759 | + | 4.37791i | 0.155562 | + | 0.269442i | ||||
\(265\) | 0.743738 | + | 1.06414i | 0.0456875 | + | 0.0653697i | ||||
\(266\) | 11.9084 | − | 15.9640i | 0.730153 | − | 0.978814i | ||||
\(267\) | −11.7497 | − | 7.38284i | −0.719071 | − | 0.451822i | ||||
\(268\) | 8.99864 | + | 0.336705i | 0.549679 | + | 0.0205676i | ||||
\(269\) | 5.79905 | − | 0.874067i | 0.353575 | − | 0.0532928i | 0.0301463 | − | 0.999545i | \(-0.490403\pi\) |
0.323428 | + | 0.946253i | \(0.395165\pi\) | |||||||
\(270\) | −2.01883 | − | 10.0316i | −0.122862 | − | 0.610503i | ||||
\(271\) | 15.0137 | + | 16.1809i | 0.912016 | + | 0.982920i | 0.999913 | − | 0.0132100i | \(-0.00420498\pi\) |
−0.0878966 | + | 0.996130i | \(0.528015\pi\) | |||||||
\(272\) | −1.82620 | + | 2.90638i | −0.110730 | + | 0.176225i | ||||
\(273\) | −0.563737 | + | 1.79497i | −0.0341189 | + | 0.108637i | ||||
\(274\) | 7.89067 | + | 1.80099i | 0.476693 | + | 0.108802i | ||||
\(275\) | −16.8416 | − | 23.5116i | −1.01559 | − | 1.41780i | ||||
\(276\) | −0.439095 | − | 0.253511i | −0.0264304 | − | 0.0152596i | ||||
\(277\) | −13.9531 | + | 0.522090i | −0.838363 | + | 0.0313693i | −0.453124 | − | 0.891447i | \(-0.649691\pi\) |
−0.385239 | + | 0.922817i | \(0.625881\pi\) | |||||||
\(278\) | 0.777587 | − | 0.147127i | 0.0466366 | − | 0.00882412i | ||||
\(279\) | 7.24280 | + | 9.08218i | 0.433615 | + | 0.543736i | ||||
\(280\) | 5.75909 | − | 1.35383i | 0.344172 | − | 0.0809066i | ||||
\(281\) | 13.5099 | − | 16.9409i | 0.805935 | − | 1.01061i | −0.193628 | − | 0.981075i | \(-0.562026\pi\) |
0.999564 | − | 0.0295360i | \(-0.00940297\pi\) | |||||||
\(282\) | 3.57004 | − | 6.75484i | 0.212593 | − | 0.402245i | ||||
\(283\) | −9.05739 | − | 3.95170i | −0.538406 | − | 0.234904i | 0.113052 | − | 0.993589i | \(-0.463937\pi\) |
−0.651458 | + | 0.758685i | \(0.725842\pi\) | |||||||
\(284\) | −5.02932 | − | 0.376896i | −0.298435 | − | 0.0223646i | ||||
\(285\) | 13.1790 | − | 6.53600i | 0.780658 | − | 0.387159i | ||||
\(286\) | −2.04205 | + | 4.24036i | −0.120749 | + | 0.250738i | ||||
\(287\) | −6.21493 | − | 5.00841i | −0.366856 | − | 0.295637i | ||||
\(288\) | 2.11071 | + | 0.738570i | 0.124375 | + | 0.0435207i | ||||
\(289\) | 5.20332 | − | 0.389935i | 0.306078 | − | 0.0229374i | ||||
\(290\) | −1.25948 | + | 0.746764i | −0.0739592 | + | 0.0438515i | ||||
\(291\) | −2.76807 | + | 1.88724i | −0.162267 | + | 0.110632i | ||||
\(292\) | 0.801991 | + | 1.08666i | 0.0469330 | + | 0.0635919i | ||||
\(293\) | −1.70809 | + | 1.70809i | −0.0997879 | + | 0.0997879i | −0.755238 | − | 0.655450i | \(-0.772479\pi\) |
0.655450 | + | 0.755238i | \(0.272479\pi\) | |||||||
\(294\) | −0.0625219 | + | 6.11738i | −0.00364635 | + | 0.356773i | ||||
\(295\) | −0.718755 | − | 14.6583i | −0.0418475 | − | 0.853441i | ||||
\(296\) | −9.86983 | − | 1.48764i | −0.573672 | − | 0.0864672i | ||||
\(297\) | 26.0084 | + | 4.92106i | 1.50916 | + | 0.285549i | ||||
\(298\) | 3.33648 | + | 6.31293i | 0.193277 | + | 0.365698i | ||||
\(299\) | −0.0352760 | − | 0.470726i | −0.00204007 | − | 0.0272228i | ||||
\(300\) | 4.24598 | + | 1.03281i | 0.245141 | + | 0.0596292i | ||||
\(301\) | 13.1009 | − | 20.6154i | 0.755125 | − | 1.18825i | ||||
\(302\) | −7.66545 | + | 2.68226i | −0.441097 | + | 0.154346i | ||||
\(303\) | 12.6374 | − | 5.51363i | 0.725998 | − | 0.316750i | ||||
\(304\) | −0.562543 | + | 7.50661i | −0.0322640 | + | 0.430534i | ||||
\(305\) | 10.3926 | + | 23.0859i | 0.595076 | + | 1.32190i | ||||
\(306\) | 2.26247 | + | 7.33475i | 0.129337 | + | 0.419300i | ||||
\(307\) | −21.5354 | + | 2.42646i | −1.22909 | + | 0.138485i | −0.702532 | − | 0.711652i | \(-0.747947\pi\) |
−0.526560 | + | 0.850138i | \(0.676519\pi\) | |||||||
\(308\) | −2.35819 | + | 15.1209i | −0.134370 | + | 0.861592i | ||||
\(309\) | 4.18327 | − | 3.33605i | 0.237978 | − | 0.189781i | ||||
\(310\) | −11.2939 | + | 2.71590i | −0.641450 | + | 0.154253i | ||||
\(311\) | −5.30635 | + | 5.71889i | −0.300896 | + | 0.324288i | −0.865342 | − | 0.501181i | \(-0.832899\pi\) |
0.564447 | + | 0.825469i | \(0.309089\pi\) | |||||||
\(312\) | −0.184049 | − | 0.686879i | −0.0104197 | − | 0.0388868i | ||||
\(313\) | 2.07219 | + | 0.555241i | 0.117127 | + | 0.0313841i | 0.316906 | − | 0.948457i | \(-0.397356\pi\) |
−0.199779 | + | 0.979841i | \(0.564023\pi\) | |||||||
\(314\) | −0.317526 | + | 1.39117i | −0.0179191 | + | 0.0785085i | ||||
\(315\) | 6.10577 | − | 11.7363i | 0.344021 | − | 0.661264i | ||||
\(316\) | −2.03981 | − | 8.93699i | −0.114748 | − | 0.502745i | ||||
\(317\) | 0.627874 | − | 16.7803i | 0.0352649 | − | 0.942475i | −0.863581 | − | 0.504210i | \(-0.831784\pi\) |
0.898846 | − | 0.438265i | \(-0.144407\pi\) | |||||||
\(318\) | 0.301321 | − | 0.408276i | 0.0168973 | − | 0.0228950i | ||||
\(319\) | −0.564518 | − | 3.74533i | −0.0316069 | − | 0.209698i | ||||
\(320\) | −1.56270 | + | 1.59937i | −0.0873576 | + | 0.0894072i | ||||
\(321\) | −0.102714 | + | 0.0234439i | −0.00573296 | + | 0.00130851i | ||||
\(322\) | −0.553462 | − | 1.43167i | −0.0308432 | − | 0.0797837i | ||||
\(323\) | −21.8783 | + | 13.7470i | −1.21734 | + | 0.764905i | ||||
\(324\) | 2.34623 | − | 1.35460i | 0.130346 | − | 0.0752553i | ||||
\(325\) | 1.43236 | + | 3.80784i | 0.0794533 | + | 0.211221i | ||||
\(326\) | 11.8219 | + | 10.9692i | 0.654757 | + | 0.607526i | ||||
\(327\) | 1.01096 | + | 5.34303i | 0.0559060 | + | 0.295470i | ||||
\(328\) | 2.99788 | + | 0.337779i | 0.165530 | + | 0.0186507i | ||||
\(329\) | 21.2466 | − | 9.14083i | 1.17136 | − | 0.503950i | ||||
\(330\) | −6.60647 | + | 9.17216i | −0.363674 | + | 0.504911i | ||||
\(331\) | 11.6243 | − | 3.58562i | 0.638929 | − | 0.197083i | 0.0416692 | − | 0.999131i | \(-0.486732\pi\) |
0.597259 | + | 0.802048i | \(0.296256\pi\) | |||||||
\(332\) | −3.60933 | + | 8.27267i | −0.198088 | + | 0.454022i | ||||
\(333\) | −16.9181 | + | 14.5592i | −0.927106 | + | 0.797839i | ||||
\(334\) | 4.89641 | − | 12.4759i | 0.267920 | − | 0.682648i | ||||
\(335\) | 7.57321 | + | 18.6572i | 0.413769 | + | 1.01935i | ||||
\(336\) | −1.22018 | − | 1.96412i | −0.0665664 | − | 0.107151i | ||||
\(337\) | −4.07074 | + | 11.6335i | −0.221748 | + | 0.633718i | 0.778236 | + | 0.627972i | \(0.216115\pi\) |
−0.999983 | + | 0.00574619i | \(0.998171\pi\) | |||||||
\(338\) | −8.04789 | + | 9.35181i | −0.437747 | + | 0.508672i | ||||
\(339\) | −1.82059 | − | 0.561576i | −0.0988807 | − | 0.0305006i | ||||
\(340\) | −7.60234 | − | 1.05587i | −0.412295 | − | 0.0572627i | ||||
\(341\) | 4.47839 | − | 29.7122i | 0.242519 | − | 1.60901i | ||||
\(342\) | 11.9030 | + | 11.9030i | 0.643639 | + | 0.643639i | ||||
\(343\) | −11.7678 | + | 14.3010i | −0.635402 | + | 0.772182i | ||||
\(344\) | 9.23216i | 0.497765i | ||||||||
\(345\) | 0.113867 | − | 1.12800i | 0.00613041 | − | 0.0607297i | ||||
\(346\) | 5.19285 | + | 7.61651i | 0.279169 | + | 0.409466i | ||||
\(347\) | −16.9490 | + | 8.95780i | −0.909869 | + | 0.480880i | −0.855595 | − | 0.517646i | \(-0.826808\pi\) |
−0.0542743 | + | 0.998526i | \(0.517285\pi\) | |||||||
\(348\) | 0.433775 | + | 0.373294i | 0.0232528 | + | 0.0200106i | ||||
\(349\) | −23.4225 | + | 11.2797i | −1.25378 | + | 0.603787i | −0.938522 | − | 0.345220i | \(-0.887804\pi\) |
−0.315255 | + | 0.949007i | \(0.602090\pi\) | |||||||
\(350\) | 8.04664 | + | 10.5001i | 0.430111 | + | 0.561253i | ||||
\(351\) | −3.35477 | − | 1.61557i | −0.179064 | − | 0.0862328i | ||||
\(352\) | −2.31307 | − | 5.30162i | −0.123287 | − | 0.282577i | ||||
\(353\) | −10.8889 | − | 12.6531i | −0.579558 | − | 0.673459i | 0.389290 | − | 0.921115i | \(-0.372720\pi\) |
−0.968848 | + | 0.247657i | \(0.920339\pi\) | |||||||
\(354\) | −5.33951 | + | 2.09560i | −0.283792 | + | 0.111380i | ||||
\(355\) | −3.84787 | − | 10.6007i | −0.204224 | − | 0.562626i | ||||
\(356\) | 12.4139 | + | 9.89977i | 0.657937 | + | 0.524687i | ||||
\(357\) | 2.93738 | − | 7.37332i | 0.155463 | − | 0.390238i | ||||
\(358\) | 0.991673 | − | 8.80134i | 0.0524115 | − | 0.465165i | ||||
\(359\) | 3.18744 | − | 4.67512i | 0.168227 | − | 0.246743i | −0.732863 | − | 0.680377i | \(-0.761816\pi\) |
0.901089 | + | 0.433633i | \(0.142769\pi\) | |||||||
\(360\) | 0.431461 | + | 4.98165i | 0.0227400 | + | 0.262556i | ||||
\(361\) | −18.8328 | + | 32.6194i | −0.991201 | + | 1.71681i | ||||
\(362\) | −1.98704 | + | 7.41572i | −0.104436 | + | 0.389762i | ||||
\(363\) | −10.4421 | − | 16.6185i | −0.548068 | − | 0.872245i | ||||
\(364\) | 0.870943 | − | 1.96871i | 0.0456498 | − | 0.103189i | ||||
\(365\) | −1.47955 | + | 2.63268i | −0.0774431 | + | 0.137801i | ||||
\(366\) | 7.25366 | − | 6.73041i | 0.379155 | − | 0.351804i | ||||
\(367\) | −15.3638 | − | 11.3390i | −0.801985 | − | 0.591892i | 0.113826 | − | 0.993501i | \(-0.463689\pi\) |
−0.915811 | + | 0.401609i | \(0.868451\pi\) | |||||||
\(368\) | 0.466785 | + | 0.344503i | 0.0243328 | + | 0.0179584i | ||||
\(369\) | 4.94536 | − | 4.58863i | 0.257445 | − | 0.238874i | ||||
\(370\) | −6.02613 | − | 21.4900i | −0.313283 | − | 1.11721i | ||||
\(371\) | 1.48582 | − | 0.389998i | 0.0771400 | − | 0.0202477i | ||||
\(372\) | 2.41543 | + | 3.84413i | 0.125234 | + | 0.199309i | ||||
\(373\) | −6.92749 | + | 25.8538i | −0.358692 | + | 1.33866i | 0.517082 | + | 0.855936i | \(0.327018\pi\) |
−0.875774 | + | 0.482721i | \(0.839649\pi\) | |||||||
\(374\) | 9.92722 | − | 17.1944i | 0.513324 | − | 0.889103i | ||||
\(375\) | 1.79145 | + | 9.60550i | 0.0925099 | + | 0.496026i | ||||
\(376\) | −4.92460 | + | 7.22307i | −0.253967 | + | 0.372501i | ||||
\(377\) | −0.0596552 | + | 0.529455i | −0.00307240 | + | 0.0272683i | ||||
\(378\) | −11.9629 | − | 1.86569i | −0.615306 | − | 0.0959605i | ||||
\(379\) | 17.3323 | + | 13.8221i | 0.890301 | + | 0.709991i | 0.957710 | − | 0.287734i | \(-0.0929019\pi\) |
−0.0674092 | + | 0.997725i | \(0.521473\pi\) | |||||||
\(380\) | −15.8223 | + | 5.74321i | −0.811665 | + | 0.294621i | ||||
\(381\) | −13.6546 | + | 5.35903i | −0.699545 | + | 0.274551i | ||||
\(382\) | −13.4481 | − | 15.6270i | −0.688067 | − | 0.799549i | ||||
\(383\) | −5.42487 | − | 12.4339i | −0.277198 | − | 0.635344i | 0.721152 | − | 0.692777i | \(-0.243613\pi\) |
−0.998349 | + | 0.0574332i | \(0.981708\pi\) | |||||||
\(384\) | 0.787408 | + | 0.379195i | 0.0401822 | + | 0.0193507i | ||||
\(385\) | −32.9959 | + | 9.07095i | −1.68163 | + | 0.462299i | ||||
\(386\) | −16.5470 | + | 7.96864i | −0.842222 | + | 0.405593i | ||||
\(387\) | 15.6483 | + | 13.4664i | 0.795448 | + | 0.684538i | ||||
\(388\) | 3.38915 | − | 1.79122i | 0.172058 | − | 0.0909354i | ||||
\(389\) | −1.87756 | − | 2.75388i | −0.0951961 | − | 0.139627i | 0.775686 | − | 0.631119i | \(-0.217404\pi\) |
−0.870882 | + | 0.491492i | \(0.836452\pi\) | |||||||
\(390\) | 1.23160 | − | 1.00575i | 0.0623646 | − | 0.0509282i | ||||
\(391\) | 1.99136i | 0.100707i | ||||||||
\(392\) | 0.854799 | − | 6.94761i | 0.0431739 | − | 0.350907i | ||||
\(393\) | −12.8995 | − | 12.8995i | −0.650695 | − | 0.650695i | ||||
\(394\) | −1.58761 | + | 10.5331i | −0.0799829 | + | 0.530652i | ||||
\(395\) | 16.3501 | − | 12.3623i | 0.822664 | − | 0.622016i | ||||
\(396\) | −12.3601 | − | 3.81258i | −0.621117 | − | 0.191589i | ||||
\(397\) | −4.94411 | + | 5.74516i | −0.248138 | + | 0.288341i | −0.868203 | − | 0.496209i | \(-0.834725\pi\) |
0.620065 | + | 0.784550i | \(0.287106\pi\) | |||||||
\(398\) | 3.10837 | − | 8.88321i | 0.155808 | − | 0.445275i | ||||
\(399\) | −1.86044 | − | 17.3063i | −0.0931386 | − | 0.866398i | ||||
\(400\) | −4.69547 | − | 1.71829i | −0.234774 | − | 0.0859146i | ||||
\(401\) | 2.36476 | − | 6.02531i | 0.118091 | − | 0.300890i | −0.859591 | − | 0.510983i | \(-0.829281\pi\) |
0.977681 | + | 0.210093i | \(0.0673767\pi\) | |||||||
\(402\) | 5.96518 | − | 5.13345i | 0.297516 | − | 0.256033i | ||||
\(403\) | −1.69027 | + | 3.87414i | −0.0841983 | + | 0.192984i | ||||
\(404\) | −15.0754 | + | 4.65014i | −0.750029 | + | 0.231353i | ||||
\(405\) | 4.91558 | + | 3.54057i | 0.244257 | + | 0.175932i | ||||
\(406\) | 0.313387 | + | 1.70391i | 0.0155532 | + | 0.0845637i | ||||
\(407\) | 57.3713 | + | 6.46419i | 2.84379 | + | 0.320418i | ||||
\(408\) | 0.557709 | + | 2.94756i | 0.0276107 | + | 0.145926i | ||||
\(409\) | 5.59588 | + | 5.19222i | 0.276698 | + | 0.256739i | 0.806299 | − | 0.591509i | \(-0.201468\pi\) |
−0.529600 | + | 0.848247i | \(0.677658\pi\) | |||||||
\(410\) | 2.06299 | + | 6.42268i | 0.101884 | + | 0.317194i | ||||
\(411\) | 6.12578 | − | 3.53672i | 0.302163 | − | 0.174454i | ||||
\(412\) | −5.18388 | + | 3.25725i | −0.255391 | + | 0.160473i | ||||
\(413\) | −16.5670 | − | 5.20309i | −0.815207 | − | 0.256027i | ||||
\(414\) | 1.26480 | − | 0.288682i | 0.0621614 | − | 0.0141879i | ||||
\(415\) | −20.1809 | + | 0.234002i | −0.990639 | + | 0.0114867i | ||||
\(416\) | 0.121271 | + | 0.804578i | 0.00594578 | + | 0.0394477i | ||||
\(417\) | 0.410707 | − | 0.556488i | 0.0201124 | − | 0.0272513i | ||||
\(418\) | 1.62808 | − | 43.5113i | 0.0796320 | − | 2.12821i | ||||
\(419\) | −3.22161 | − | 14.1148i | −0.157386 | − | 0.689552i | −0.990622 | − | 0.136634i | \(-0.956371\pi\) |
0.833236 | − | 0.552918i | \(-0.186486\pi\) | |||||||
\(420\) | 2.88482 | − | 4.29078i | 0.140765 | − | 0.209369i | ||||
\(421\) | 2.96745 | − | 13.0012i | 0.144624 | − | 0.633641i | −0.849701 | − | 0.527264i | \(-0.823218\pi\) |
0.994326 | − | 0.106377i | \(-0.0339251\pi\) | |||||||
\(422\) | −8.61835 | − | 2.30928i | −0.419535 | − | 0.112414i | ||||
\(423\) | 5.05968 | + | 18.8830i | 0.246010 | + | 0.918122i | ||||
\(424\) | −0.394916 | + | 0.425618i | −0.0191788 | + | 0.0206698i | ||||
\(425\) | −4.82519 | − | 16.4703i | −0.234056 | − | 0.798925i | ||||
\(426\) | −3.44610 | + | 2.74818i | −0.166964 | + | 0.133150i | ||||
\(427\) | 29.8831 | − | 2.08593i | 1.44615 | − | 0.100945i | ||||
\(428\) | 0.119793 | − | 0.0134974i | 0.00579039 | − | 0.000652420i | ||||
\(429\) | 1.21239 | + | 3.93049i | 0.0585350 | + | 0.189766i | ||||
\(430\) | −18.8243 | + | 8.47409i | −0.907788 | + | 0.408657i | ||||
\(431\) | 1.65443 | − | 22.0768i | 0.0796911 | − | 1.06340i | −0.803782 | − | 0.594923i | \(-0.797182\pi\) |
0.883474 | − | 0.468481i | \(-0.155199\pi\) | |||||||
\(432\) | 4.19438 | − | 1.82999i | 0.201802 | − | 0.0880454i | ||||
\(433\) | −21.6160 | + | 7.56375i | −1.03880 | + | 0.363491i | −0.795175 | − | 0.606380i | \(-0.792621\pi\) |
−0.243621 | + | 0.969870i | \(0.578335\pi\) | |||||||
\(434\) | −1.60862 | + | 13.6496i | −0.0772162 | + | 0.655202i | ||||
\(435\) | −0.362985 | + | 1.22711i | −0.0174038 | + | 0.0588352i | ||||
\(436\) | −0.464977 | − | 6.20469i | −0.0222684 | − | 0.297151i | ||||
\(437\) | 2.04063 | + | 3.86106i | 0.0976166 | + | 0.184700i | ||||
\(438\) | 1.15975 | + | 0.219437i | 0.0554152 | + | 0.0104851i | ||||
\(439\) | −18.5155 | − | 2.79076i | −0.883695 | − | 0.133196i | −0.308512 | − | 0.951220i | \(-0.599831\pi\) |
−0.575183 | + | 0.818025i | \(0.695069\pi\) | |||||||
\(440\) | 8.68680 | − | 9.58262i | 0.414127 | − | 0.456834i | ||||
\(441\) | −10.5292 | − | 11.5830i | −0.501390 | − | 0.551570i | ||||
\(442\) | −1.97489 | + | 1.97489i | −0.0939359 | + | 0.0939359i | ||||
\(443\) | −1.52051 | − | 2.06022i | −0.0722418 | − | 0.0978842i | 0.766987 | − | 0.641663i | \(-0.221755\pi\) |
−0.839229 | + | 0.543778i | \(0.816993\pi\) | |||||||
\(444\) | −7.20747 | + | 4.91397i | −0.342052 | + | 0.233207i | ||||
\(445\) | −8.79094 | + | 34.3988i | −0.416731 | + | 1.63066i | ||||
\(446\) | 18.2328 | − | 1.36636i | 0.863346 | − | 0.0646988i | ||||
\(447\) | 5.89020 | + | 2.06107i | 0.278597 | + | 0.0974853i | ||||
\(448\) | 1.13575 | + | 2.38957i | 0.0536593 | + | 0.112897i | ||||
\(449\) | −16.1252 | + | 33.4844i | −0.760997 | + | 1.58023i | 0.0524755 | + | 0.998622i | \(0.483289\pi\) |
−0.813472 | + | 0.581604i | \(0.802425\pi\) | |||||||
\(450\) | −9.76149 | + | 5.45234i | −0.460161 | + | 0.257026i | ||||
\(451\) | −17.4014 | − | 1.30405i | −0.819398 | − | 0.0614054i | ||||
\(452\) | 1.99811 | + | 0.871767i | 0.0939832 | + | 0.0410045i | ||||
\(453\) | −3.31647 | + | 6.27506i | −0.155821 | + | 0.294828i | ||||
\(454\) | 3.15432 | − | 3.95539i | 0.148040 | − | 0.185636i | ||||
\(455\) | 4.81361 | − | 0.0312154i | 0.225666 | − | 0.00146340i | ||||
\(456\) | 4.10184 | + | 5.14355i | 0.192086 | + | 0.240869i | ||||
\(457\) | 1.12145 | − | 0.212189i | 0.0524591 | − | 0.00992579i | −0.159616 | − | 0.987179i | \(-0.551026\pi\) |
0.212075 | + | 0.977253i | \(0.431978\pi\) | |||||||
\(458\) | −13.3354 | + | 0.498977i | −0.623124 | + | 0.0233156i | ||||
\(459\) | 13.6034 | + | 7.85393i | 0.634953 | + | 0.366590i | ||||
\(460\) | −0.273981 | + | 1.26798i | −0.0127745 | + | 0.0591201i | ||||
\(461\) | 22.5066 | + | 5.13699i | 1.04824 | + | 0.239253i | 0.711749 | − | 0.702434i | \(-0.247903\pi\) |
0.336489 | + | 0.941687i | \(0.390761\pi\) | |||||||
\(462\) | 7.47769 | + | 11.0891i | 0.347894 | + | 0.515911i | ||||
\(463\) | −18.0500 | + | 28.7263i | −0.838853 | + | 1.33503i | 0.101504 | + | 0.994835i | \(0.467635\pi\) |
−0.940356 | + | 0.340191i | \(0.889508\pi\) | |||||||
\(464\) | −0.445391 | − | 0.480017i | −0.0206767 | − | 0.0222842i | ||||
\(465\) | −5.62105 | + | 8.45352i | −0.260670 | + | 0.392022i | ||||
\(466\) | −14.8651 | + | 2.24055i | −0.688612 | + | 0.103792i | ||||
\(467\) | −27.5761 | − | 1.03182i | −1.27607 | − | 0.0477471i | −0.609256 | − | 0.792974i | \(-0.708532\pi\) |
−0.666811 | + | 0.745227i | \(0.732341\pi\) | |||||||
\(468\) | 1.54063 | + | 0.968044i | 0.0712158 | + | 0.0447478i | ||||
\(469\) | 23.8124 | − | 0.769168i | 1.09955 | − | 0.0355169i | ||||
\(470\) | −19.2480 | − | 3.41125i | −0.887844 | − | 0.157349i | ||||
\(471\) | 0.623546 | + | 1.08001i | 0.0287315 | + | 0.0497644i | ||||
\(472\) | 6.33964 | − | 1.69870i | 0.291806 | − | 0.0781891i | ||||
\(473\) | −1.99673 | − | 53.3637i | −0.0918097 | − | 2.45367i | ||||
\(474\) | −6.61933 | − | 4.51299i | −0.304036 | − | 0.207288i | ||||
\(475\) | −26.2334 | − | 26.9898i | −1.20367 | − | 1.23838i | ||||
\(476\) | −4.28450 | + | 8.00735i | −0.196380 | + | 0.367016i | ||||
\(477\) | 0.145370 | + | 1.29020i | 0.00665606 | + | 0.0590741i | ||||
\(478\) | 27.0568 | + | 14.2999i | 1.23755 | + | 0.654063i | ||||
\(479\) | 5.43187 | + | 13.8402i | 0.248189 | + | 0.632374i | 0.999624 | − | 0.0274328i | \(-0.00873323\pi\) |
−0.751435 | + | 0.659807i | \(0.770638\pi\) | |||||||
\(480\) | −0.0504236 | + | 1.95358i | −0.00230151 | + | 0.0891681i | ||||
\(481\) | −7.56006 | − | 2.96710i | −0.344709 | − | 0.135288i | ||||
\(482\) | 1.91397 | + | 5.46981i | 0.0871790 | + | 0.249143i | ||||
\(483\) | −1.20562 | − | 0.588204i | −0.0548576 | − | 0.0267642i | ||||
\(484\) | 9.74392 | + | 20.2335i | 0.442905 | + | 0.919702i | ||||
\(485\) | 6.76315 | + | 5.26631i | 0.307099 | + | 0.239131i | ||||
\(486\) | 4.74448 | − | 15.3812i | 0.215214 | − | 0.697707i | ||||
\(487\) | 6.98689 | − | 36.9266i | 0.316606 | − | 1.67330i | −0.356915 | − | 0.934137i | \(-0.616171\pi\) |
0.673521 | − | 0.739168i | \(-0.264781\pi\) | |||||||
\(488\) | −9.10985 | + | 6.72338i | −0.412384 | + | 0.304353i | ||||
\(489\) | 14.0943 | 0.637367 | ||||||||
\(490\) | 14.9507 | − | 4.63421i | 0.675405 | − | 0.209352i | ||||
\(491\) | −19.7002 | −0.889059 | −0.444529 | − | 0.895764i | \(-0.646629\pi\) | ||||
−0.444529 | + | 0.895764i | \(0.646629\pi\) | |||||||
\(492\) | 2.12139 | − | 1.56566i | 0.0956399 | − | 0.0705854i | ||||
\(493\) | 0.417868 | − | 2.20849i | 0.0188198 | − | 0.0994653i | ||||
\(494\) | −1.80538 | + | 5.85289i | −0.0812277 | + | 0.263334i | ||||
\(495\) | −3.57136 | − | 28.7016i | −0.160521 | − | 1.29004i | ||||
\(496\) | −2.25393 | − | 4.68033i | −0.101204 | − | 0.210153i | ||||
\(497\) | −13.3435 | − | 0.0681859i | −0.598536 | − | 0.00305855i | ||||
\(498\) | 2.60528 | + | 7.44547i | 0.116745 | + | 0.333639i | ||||
\(499\) | −24.2971 | − | 9.53591i | −1.08769 | − | 0.426886i | −0.247337 | − | 0.968929i | \(-0.579556\pi\) |
−0.840350 | + | 0.542044i | \(0.817651\pi\) | |||||||
\(500\) | −0.806342 | − | 11.1512i | −0.0360607 | − | 0.498698i | ||||
\(501\) | −4.27925 | − | 10.9034i | −0.191183 | − | 0.487126i | ||||
\(502\) | −5.71396 | − | 3.01992i | −0.255026 | − | 0.134785i | ||||
\(503\) | 2.75023 | + | 24.4090i | 0.122627 | + | 1.08834i | 0.892783 | + | 0.450487i | \(0.148750\pi\) |
−0.770156 | + | 0.637855i | \(0.779822\pi\) | |||||||
\(504\) | 5.70693 | + | 1.56047i | 0.254207 | + | 0.0695087i | ||||
\(505\) | −23.3191 | − | 26.4703i | −1.03769 | − | 1.17791i | ||||
\(506\) | −2.77262 | − | 1.89034i | −0.123258 | − | 0.0840357i | ||||
\(507\) | 0.403183 | + | 10.7753i | 0.0179060 | + | 0.478547i | ||||
\(508\) | 16.2122 | − | 4.34404i | 0.719300 | − | 0.192736i | ||||
\(509\) | 1.55499 | + | 2.69333i | 0.0689238 | + | 0.119380i | 0.898428 | − | 0.439121i | \(-0.144710\pi\) |
−0.829504 | + | 0.558501i | \(0.811377\pi\) | |||||||
\(510\) | −5.49813 | + | 3.84269i | −0.243461 | + | 0.170157i | ||||
\(511\) | 2.31692 | + | 2.72030i | 0.102494 | + | 0.120339i | ||||
\(512\) | −0.846724 | − | 0.532032i | −0.0374203 | − | 0.0235127i | ||||
\(513\) | 34.4241 | + | 1.28806i | 1.51986 | + | 0.0568691i | ||||
\(514\) | 2.51242 | − | 0.378686i | 0.110818 | − | 0.0167031i | ||||
\(515\) | −11.3997 | − | 7.58009i | −0.502331 | − | 0.334019i | ||||
\(516\) | 5.48798 | + | 5.91463i | 0.241595 | + | 0.260377i | ||||
\(517\) | 26.9030 | − | 42.8158i | 1.18319 | − | 1.88304i | ||||
\(518\) | −26.3238 | − | 2.10802i | −1.15660 | − | 0.0926211i | ||||
\(519\) | 7.85440 | + | 1.79271i | 0.344770 | + | 0.0786915i | ||||
\(520\) | −1.52921 | + | 0.985783i | −0.0670605 | + | 0.0432294i | ||||
\(521\) | 34.6580 | + | 20.0098i | 1.51840 | + | 0.876646i | 0.999766 | + | 0.0216475i | \(0.00689116\pi\) |
0.518630 | + | 0.854999i | \(0.326442\pi\) | |||||||
\(522\) | −1.46328 | + | 0.0547523i | −0.0640462 | + | 0.00239644i | ||||
\(523\) | 34.4175 | − | 6.51215i | 1.50497 | − | 0.284756i | 0.632939 | − | 0.774202i | \(-0.281848\pi\) |
0.872034 | + | 0.489445i | \(0.162801\pi\) | |||||||
\(524\) | 13.0145 | + | 16.3197i | 0.568542 | + | 0.712929i | ||||
\(525\) | 11.3968 | + | 1.94367i | 0.497397 | + | 0.0848288i | ||||
\(526\) | −18.3471 | + | 23.0065i | −0.799970 | + | 1.00313i | ||||
\(527\) | 8.33190 | − | 15.7647i | 0.362943 | − | 0.686722i | ||||
\(528\) | −4.63338 | − | 2.02152i | −0.201642 | − | 0.0879755i | ||||
\(529\) | −22.6001 | − | 1.69364i | −0.982611 | − | 0.0736365i | ||||
\(530\) | −1.23032 | − | 0.414559i | −0.0534417 | − | 0.0180073i | ||||
\(531\) | 6.36803 | − | 13.2233i | 0.276349 | − | 0.573844i | ||||
\(532\) | −0.101772 | + | 19.9161i | −0.00441238 | + | 0.863470i | ||||
\(533\) | 2.31696 | + | 0.810738i | 0.100358 | + | 0.0351169i | ||||
\(534\) | 13.8379 | − | 1.03701i | 0.598824 | − | 0.0448756i | ||||
\(535\) | 0.137477 | + | 0.231867i | 0.00594366 | + | 0.0100245i | ||||
\(536\) | −7.44023 | + | 5.07266i | −0.321369 | + | 0.219106i | ||||
\(537\) | −4.59656 | − | 6.22812i | −0.198356 | − | 0.268763i | ||||
\(538\) | −4.14687 | + | 4.14687i | −0.178784 | + | 0.178784i | ||||
\(539\) | −3.43828 | + | 40.3434i | −0.148097 | + | 1.73771i | ||||
\(540\) | 7.58131 | + | 6.87258i | 0.326247 | + | 0.295749i | ||||
\(541\) | 14.1181 | + | 2.12796i | 0.606983 | + | 0.0914880i | 0.445340 | − | 0.895361i | \(-0.353083\pi\) |
0.161643 | + | 0.986849i | \(0.448321\pi\) | |||||||
\(542\) | −21.6885 | − | 4.10369i | −0.931602 | − | 0.176269i | ||||
\(543\) | 3.13521 | + | 5.93210i | 0.134545 | + | 0.254571i | ||||
\(544\) | −0.256511 | − | 3.42291i | −0.0109978 | − | 0.146756i | ||||
\(545\) | 12.2245 | − | 6.64330i | 0.523640 | − | 0.284568i | ||||
\(546\) | −0.612310 | − | 1.77899i | −0.0262045 | − | 0.0761338i | ||||
\(547\) | −39.6986 | + | 13.8912i | −1.69739 | + | 0.593943i | −0.993237 | − | 0.116104i | \(-0.962959\pi\) |
−0.704154 | + | 0.710047i | \(0.748674\pi\) | |||||||
\(548\) | −7.41828 | + | 3.23656i | −0.316893 | + | 0.138259i | ||||
\(549\) | −1.89208 | + | 25.2480i | −0.0807519 | + | 1.07756i | ||||
\(550\) | 27.5124 | + | 8.91652i | 1.17313 | + | 0.380202i | ||||
\(551\) | −1.45293 | − | 4.71027i | −0.0618967 | − | 0.200664i | ||||
\(552\) | 0.503835 | − | 0.0567685i | 0.0214446 | − | 0.00241623i | ||||
\(553\) | −7.03022 | − | 23.2119i | −0.298955 | − | 0.987069i | ||||
\(554\) | 10.9166 | − | 8.70573i | 0.463804 | − | 0.369871i | ||||
\(555\) | −16.6352 | − | 10.1855i | −0.706125 | − | 0.432350i | ||||
\(556\) | −0.538278 | + | 0.580125i | −0.0228281 | + | 0.0246028i | ||||
\(557\) | 10.7331 | + | 40.0565i | 0.454777 | + | 1.69725i | 0.688743 | + | 0.725006i | \(0.258163\pi\) |
−0.233966 | + | 0.972245i | \(0.575170\pi\) | |||||||
\(558\) | −11.2207 | − | 3.00658i | −0.475011 | − | 0.127279i | ||||
\(559\) | −1.67155 | + | 7.32356i | −0.0706992 | + | 0.309754i | ||||
\(560\) | −3.82982 | + | 4.50915i | −0.161840 | + | 0.190546i | ||||
\(561\) | −3.86116 | − | 16.9169i | −0.163018 | − | 0.714230i | ||||
\(562\) | −0.810202 | + | 21.6531i | −0.0341763 | + | 0.913381i | ||||
\(563\) | 16.9435 | − | 22.9576i | 0.714081 | − | 0.967546i | −0.285876 | − | 0.958267i | \(-0.592284\pi\) |
0.999957 | − | 0.00927908i | \(-0.00295366\pi\) | |||||||
\(564\) | 1.13872 | + | 7.55489i | 0.0479486 | + | 0.318118i | ||||
\(565\) | 0.0565189 | + | 4.87431i | 0.00237777 | + | 0.205064i | ||||
\(566\) | 9.63416 | − | 2.19893i | 0.404954 | − | 0.0924281i | ||||
\(567\) | 5.94291 | − | 4.00748i | 0.249579 | − | 0.168298i | ||||
\(568\) | 4.27039 | − | 2.68326i | 0.179182 | − | 0.112587i | ||||
\(569\) | 26.8453 | − | 15.4991i | 1.12541 | − | 0.649757i | 0.182635 | − | 0.983181i | \(-0.441537\pi\) |
0.942777 | + | 0.333424i | \(0.108204\pi\) | |||||||
\(570\) | −6.72261 | + | 13.0848i | −0.281579 | + | 0.548063i | ||||
\(571\) | 9.41579 | + | 8.73658i | 0.394039 | + | 0.365614i | 0.852165 | − | 0.523272i | \(-0.175289\pi\) |
−0.458127 | + | 0.888887i | \(0.651479\pi\) | |||||||
\(572\) | −0.874982 | − | 4.62439i | −0.0365848 | − | 0.193356i | ||||
\(573\) | −17.9050 | − | 2.01741i | −0.747991 | − | 0.0842784i | ||||
\(574\) | 7.97461 | + | 0.339204i | 0.332854 | + | 0.0141581i | ||||
\(575\) | −2.83689 | + | 0.605223i | −0.118307 | + | 0.0252395i | ||||
\(576\) | −2.13685 | + | 0.659132i | −0.0890355 | + | 0.0274638i | ||||
\(577\) | 14.9097 | − | 34.1733i | 0.620698 | − | 1.42266i | −0.267664 | − | 0.963512i | \(-0.586252\pi\) |
0.888362 | − | 0.459143i | \(-0.151843\pi\) | |||||||
\(578\) | −3.95503 | + | 3.40358i | −0.164508 | + | 0.141570i | ||||
\(579\) | −5.86407 | + | 14.9414i | −0.243702 | + | 0.620943i | ||||
\(580\) | 0.569931 | − | 1.34875i | 0.0236651 | − | 0.0560038i | ||||
\(581\) | −8.00211 | + | 22.4993i | −0.331984 | + | 0.933426i | ||||
\(582\) | 1.10650 | − | 3.16221i | 0.0458661 | − | 0.131078i | ||||
\(583\) | 2.19064 | − | 2.54557i | 0.0907269 | − | 0.105427i | ||||
\(584\) | −1.29056 | − | 0.398085i | −0.0534038 | − | 0.0164729i | ||||
\(585\) | −0.559702 | + | 4.02989i | −0.0231409 | + | 0.166615i | ||||
\(586\) | 0.360028 | − | 2.38863i | 0.0148726 | − | 0.0986734i | ||||
\(587\) | 8.00639 | + | 8.00639i | 0.330459 | + | 0.330459i | 0.852761 | − | 0.522302i | \(-0.174927\pi\) |
−0.522302 | + | 0.852761i | \(0.674927\pi\) | |||||||
\(588\) | −3.58232 | − | 4.95915i | −0.147732 | − | 0.204512i | ||||
\(589\) | − | 39.1045i | − | 1.61127i | ||||||
\(590\) | 9.28272 | + | 11.3672i | 0.382164 | + | 0.467982i | ||||
\(591\) | 5.24422 | + | 7.69185i | 0.215718 | + | 0.316401i | ||||
\(592\) | 8.82463 | − | 4.66396i | 0.362690 | − | 0.191687i | ||||
\(593\) | −14.1425 | − | 12.1706i | −0.580763 | − | 0.499787i | 0.312140 | − | 0.950036i | \(-0.398954\pi\) |
−0.892903 | + | 0.450249i | \(0.851335\pi\) | |||||||
\(594\) | −23.8486 | + | 11.4849i | −0.978518 | + | 0.471230i | ||||
\(595\) | −20.2596 | − | 1.38619i | −0.830563 | − | 0.0568284i | ||||
\(596\) | −6.43327 | − | 3.09810i | −0.263517 | − | 0.126903i | ||||
\(597\) | −3.28915 | − | 7.53882i | −0.134616 | − | 0.308543i | ||||
\(598\) | 0.307910 | + | 0.357797i | 0.0125914 | + | 0.0146314i | ||||
\(599\) | 20.0079 | − | 7.85252i | 0.817501 | − | 0.320845i | 0.0805147 | − | 0.996753i | \(-0.474344\pi\) |
0.736986 | + | 0.675908i | \(0.236248\pi\) | |||||||
\(600\) | −4.02960 | + | 1.69035i | −0.164508 | + | 0.0690083i | ||||
\(601\) | 4.27361 | + | 3.40809i | 0.174324 | + | 0.139019i | 0.706765 | − | 0.707448i | \(-0.250154\pi\) |
−0.532441 | + | 0.846467i | \(0.678725\pi\) | |||||||
\(602\) | 1.70087 | + | 24.3667i | 0.0693221 | + | 0.993113i | ||||
\(603\) | −2.25461 | + | 20.0102i | −0.0918148 | + | 0.814879i | ||||
\(604\) | 4.57482 | − | 6.71003i | 0.186147 | − | 0.273027i | ||||
\(605\) | −32.3120 | + | 38.4398i | −1.31367 | + | 1.56280i | ||||
\(606\) | −6.89389 | + | 11.9406i | −0.280045 | + | 0.485053i | ||||
\(607\) | −6.29093 | + | 23.4781i | −0.255341 | + | 0.952946i | 0.712559 | + | 0.701612i | \(0.247536\pi\) |
−0.967900 | + | 0.251334i | \(0.919131\pi\) | |||||||
\(608\) | −4.00496 | − | 6.37385i | −0.162422 | − | 0.258494i | ||||
\(609\) | 1.21365 | + | 0.905330i | 0.0491795 | + | 0.0366858i | ||||
\(610\) | −22.0707 | − | 12.4036i | −0.893618 | − | 0.502207i | ||||
\(611\) | −5.21431 | + | 4.83818i | −0.210949 | + | 0.195732i | ||||
\(612\) | −6.17591 | − | 4.55803i | −0.249646 | − | 0.184247i | ||||
\(613\) | −16.6893 | − | 12.3172i | −0.674073 | − | 0.497488i | 0.202175 | − | 0.979349i | \(-0.435199\pi\) |
−0.876248 | + | 0.481861i | \(0.839961\pi\) | |||||||
\(614\) | 15.8865 | − | 14.7405i | 0.641126 | − | 0.594878i | ||||
\(615\) | 5.13957 | + | 2.88840i | 0.207247 | + | 0.116472i | ||||
\(616\) | −7.08169 | − | 13.5666i | −0.285329 | − | 0.546613i | ||||
\(617\) | −5.68720 | − | 9.05112i | −0.228958 | − | 0.364384i | 0.712412 | − | 0.701762i | \(-0.247603\pi\) |
−0.941369 | + | 0.337378i | \(0.890460\pi\) | |||||||
\(618\) | −1.38484 | + | 5.16828i | −0.0557063 | + | 0.207899i | ||||
\(619\) | 13.8392 | − | 23.9701i | 0.556243 | − | 0.963441i | −0.441563 | − | 0.897230i | \(-0.645576\pi\) |
0.997806 | − | 0.0662108i | \(-0.0210910\pi\) | |||||||
\(620\) | 7.47429 | − | 8.89175i | 0.300175 | − | 0.357101i | ||||
\(621\) | 1.49554 | − | 2.19356i | 0.0600141 | − | 0.0880245i | ||||
\(622\) | 0.873488 | − | 7.75242i | 0.0350237 | − | 0.310844i | ||||
\(623\) | 34.5883 | + | 23.8417i | 1.38575 | + | 0.955198i | ||||
\(624\) | 0.555967 | + | 0.443369i | 0.0222565 | + | 0.0177490i | ||||
\(625\) | 21.9971 | − | 11.8797i | 0.879884 | − | 0.475188i | ||||
\(626\) | −1.99699 | + | 0.783761i | −0.0798158 | + | 0.0313254i | ||||
\(627\) | −24.8219 | − | 28.8436i | −0.991291 | − | 1.15190i | ||||
\(628\) | −0.570626 | − | 1.30789i | −0.0227705 | − | 0.0521905i | ||||
\(629\) | 30.8680 | + | 14.8653i | 1.23079 | + | 0.592716i | ||||
\(630\) | 2.05655 | + | 13.0687i | 0.0819349 | + | 0.520670i | ||||
\(631\) | 30.3615 | − | 14.6213i | 1.20867 | − | 0.582065i | 0.282535 | − | 0.959257i | \(-0.408825\pi\) |
0.926135 | + | 0.377192i | \(0.123110\pi\) | |||||||
\(632\) | 6.94819 | + | 5.97940i | 0.276384 | + | 0.237848i | ||||
\(633\) | −6.89412 | + | 3.64365i | −0.274017 | + | 0.144822i | ||||
\(634\) | 9.45929 | + | 13.8742i | 0.375676 | + | 0.551016i | ||||
\(635\) | 23.7384 | + | 29.0691i | 0.942031 | + | 1.15357i | ||||
\(636\) | 0.507429i | 0.0201209i | ||||||||
\(637\) | 1.93600 | − | 5.35654i | 0.0767072 | − | 0.212234i | ||||
\(638\) | 2.67826 | + | 2.67826i | 0.106033 | + | 0.106033i | ||||
\(639\) | 1.68091 | − | 11.1521i | 0.0664959 | − | 0.441172i | ||||
\(640\) | 0.307610 | − | 2.21481i | 0.0121593 | − | 0.0875480i | ||||
\(641\) | 23.3975 | + | 7.21717i | 0.924146 | + | 0.285061i | 0.720076 | − | 0.693895i | \(-0.244107\pi\) |
0.204070 | + | 0.978956i | \(0.434583\pi\) | |||||||
\(642\) | 0.0687223 | − | 0.0798568i | 0.00271225 | − | 0.00315170i | ||||
\(643\) | 4.41521 | − | 12.6180i | 0.174119 | − | 0.497604i | −0.823442 | − | 0.567400i | \(-0.807949\pi\) |
0.997561 | + | 0.0697965i | \(0.0222350\pi\) | |||||||
\(644\) | 1.29547 | + | 0.823259i | 0.0510486 | + | 0.0324410i | ||||
\(645\) | −7.02253 | + | 16.6189i | −0.276512 | + | 0.654369i | ||||
\(646\) | 9.43995 | − | 24.0526i | 0.371410 | − | 0.946336i | ||||
\(647\) | 20.3051 | − | 17.4739i | 0.798274 | − | 0.686970i | −0.155387 | − | 0.987854i | \(-0.549662\pi\) |
0.953661 | + | 0.300883i | \(0.0972815\pi\) | |||||||
\(648\) | −1.08338 | + | 2.48314i | −0.0425594 | + | 0.0975471i | ||||
\(649\) | −36.2770 | + | 11.1900i | −1.42400 | + | 0.439244i | ||||
\(650\) | −3.41365 | − | 2.21321i | −0.133894 | − | 0.0868094i | ||||
\(651\) | 7.08332 | + | 9.70093i | 0.277617 | + | 0.380209i | ||||
\(652\) | −16.0256 | − | 1.80565i | −0.627612 | − | 0.0707149i | ||||
\(653\) | 0.892203 | + | 4.71541i | 0.0349146 | + | 0.184528i | 0.995682 | − | 0.0928261i | \(-0.0295901\pi\) |
−0.960768 | + | 0.277354i | \(0.910542\pi\) | |||||||
\(654\) | −3.98621 | − | 3.69867i | −0.155873 | − | 0.144629i | ||||
\(655\) | −21.3298 | + | 41.5162i | −0.833425 | + | 1.62217i | ||||
\(656\) | −2.61266 | + | 1.50842i | −0.102007 | + | 0.0588940i | ||||
\(657\) | −2.55721 | + | 1.60680i | −0.0997664 | + | 0.0626874i | ||||
\(658\) | −11.6669 | + | 19.9713i | −0.454824 | + | 0.778563i | ||||
\(659\) | −8.63713 | + | 1.97137i | −0.336455 | + | 0.0767936i | −0.387411 | − | 0.921907i | \(-0.626630\pi\) |
0.0509557 | + | 0.998701i | \(0.483773\pi\) | |||||||
\(660\) | −0.131061 | − | 11.3030i | −0.00510152 | − | 0.439967i | ||||
\(661\) | 3.93334 | + | 26.0960i | 0.152989 | + | 1.01502i | 0.925153 | + | 0.379594i | \(0.123936\pi\) |
−0.772164 | + | 0.635423i | \(0.780826\pi\) | |||||||
\(662\) | −7.22366 | + | 9.78772i | −0.280756 | + | 0.380410i | ||||
\(663\) | −0.0912676 | + | 2.43918i | −0.00354454 | + | 0.0947298i | ||||
\(664\) | −2.00842 | − | 8.79946i | −0.0779418 | − | 0.341485i | ||||
\(665\) | −40.7021 | + | 18.0732i | −1.57836 | + | 0.700849i | ||||
\(666\) | 4.96672 | − | 21.7606i | 0.192456 | − | 0.843206i | ||||
\(667\) | −0.366947 | − | 0.0983232i | −0.0142083 | − | 0.00380709i | ||||
\(668\) | 3.46877 | + | 12.9456i | 0.134211 | + | 0.500881i | ||||
\(669\) | 10.8687 | − | 11.7137i | 0.420208 | − | 0.452877i | ||||
\(670\) | −17.1724 | − | 10.5144i | −0.663428 | − | 0.406207i | ||||
\(671\) | 51.2026 | − | 40.8327i | 1.97665 | − | 1.57633i | ||||
\(672\) | 2.14809 | + | 0.855755i | 0.0828643 | + | 0.0330115i | ||||
\(673\) | 24.8584 | − | 2.80086i | 0.958219 | − | 0.107965i | 0.381018 | − | 0.924568i | \(-0.375574\pi\) |
0.577201 | + | 0.816602i | \(0.304145\pi\) | |||||||
\(674\) | −3.63291 | − | 11.7776i | −0.139934 | − | 0.453656i | ||||
\(675\) | −7.05432 | + | 21.7665i | −0.271521 | + | 0.837792i | ||||
\(676\) | 0.922016 | − | 12.3034i | 0.0354622 | − | 0.473210i | ||||
\(677\) | 7.04620 | − | 3.07423i | 0.270808 | − | 0.118152i | −0.260100 | − | 0.965582i | \(-0.583756\pi\) |
0.530908 | + | 0.847429i | \(0.321851\pi\) | |||||||
\(678\) | 1.79831 | − | 0.629258i | 0.0690639 | − | 0.0241665i | ||||
\(679\) | 8.61509 | − | 5.35201i | 0.330617 | − | 0.205391i | ||||
\(680\) | 6.74382 | − | 3.66487i | 0.258614 | − | 0.140541i | ||||
\(681\) | −0.330416 | − | 4.40910i | −0.0126616 | − | 0.168957i | ||||
\(682\) | 14.0404 | + | 26.5657i | 0.537635 | + | 1.01725i | ||||
\(683\) | 8.66906 | + | 1.64027i | 0.331712 | + | 0.0627633i | 0.349100 | − | 0.937085i | \(-0.386487\pi\) |
−0.0173877 | + | 0.999849i | \(0.505535\pi\) | |||||||
\(684\) | −16.6453 | − | 2.50888i | −0.636450 | − | 0.0959295i | ||||
\(685\) | −13.4085 | − | 12.1550i | −0.512311 | − | 0.464419i | ||||
\(686\) | 0.976120 | − | 18.4945i | 0.0372684 | − | 0.706124i | ||||
\(687\) | −8.24680 | + | 8.24680i | −0.314635 | + | 0.314635i | ||||
\(688\) | −5.48224 | − | 7.42818i | −0.209009 | − | 0.283197i | ||||
\(689\) | −0.390335 | + | 0.266126i | −0.0148706 | + | 0.0101386i | ||||
\(690\) | 0.578215 | + | 0.975207i | 0.0220123 | + | 0.0371255i | ||||
\(691\) | 0.0878302 | − | 0.00658196i | 0.00334122 | − | 0.000250390i | −0.0730594 | − | 0.997328i | \(-0.523276\pi\) |
0.0764006 | + | 0.997077i | \(0.475657\pi\) | |||||||
\(692\) | −8.70099 | − | 3.04461i | −0.330762 | − | 0.115739i | ||||
\(693\) | −33.3247 | − | 7.78551i | −1.26590 | − | 0.295747i | ||||
\(694\) | 8.31779 | − | 17.2721i | 0.315739 | − | 0.655639i | ||||
\(695\) | −1.67695 | − | 0.565052i | −0.0636103 | − | 0.0214337i | ||||
\(696\) | −0.570684 | − | 0.0427669i | −0.0216317 | − | 0.00162107i | ||||
\(697\) | −9.49131 | − | 4.14101i | −0.359509 | − | 0.156852i | ||||
\(698\) | 12.1476 | − | 22.9843i | 0.459793 | − | 0.869970i | ||||
\(699\) | −8.19152 | + | 10.2718i | −0.309832 | + | 0.388517i | ||||
\(700\) | −12.7095 | − | 3.67008i | −0.480373 | − | 0.138716i | ||||
\(701\) | −27.0348 | − | 33.9006i | −1.02109 | − | 1.28041i | −0.959322 | − | 0.282316i | \(-0.908897\pi\) |
−0.0617683 | − | 0.998091i | \(-0.519674\pi\) | |||||||
\(702\) | 3.65860 | − | 0.692244i | 0.138085 | − | 0.0261271i | ||||
\(703\) | 75.0834 | − | 2.80942i | 2.83182 | − | 0.105959i | ||||
\(704\) | 5.00930 | + | 2.89212i | 0.188795 | + | 0.109001i | ||||
\(705\) | −14.3591 | + | 9.25637i | −0.540796 | + | 0.348615i | ||||
\(706\) | 16.2749 | + | 3.71463i | 0.612513 | + | 0.139802i | ||||
\(707\) | −38.9322 | + | 15.0506i | −1.46420 | + | 0.566037i | ||||
\(708\) | 3.05175 | − | 4.85683i | 0.114692 | − | 0.182531i | ||||
\(709\) | 10.7887 | + | 11.6274i | 0.405178 | + | 0.436678i | 0.902370 | − | 0.430963i | \(-0.141826\pi\) |
−0.497192 | + | 0.867641i | \(0.665636\pi\) | |||||||
\(710\) | 9.39089 | + | 6.24434i | 0.352434 | + | 0.234346i | ||||
\(711\) | 20.2699 | − | 3.05520i | 0.760181 | − | 0.114579i | ||||
\(712\) | −15.8669 | − | 0.593697i | −0.594637 | − | 0.0222498i | ||||
\(713\) | −2.55180 | − | 1.60340i | −0.0955656 | − | 0.0600478i | ||||
\(714\) | 2.01501 | + | 7.67684i | 0.0754100 | + | 0.287298i | ||||
\(715\) | 8.62595 | − | 6.02876i | 0.322592 | − | 0.225463i | ||||
\(716\) | 4.42852 | + | 7.67041i | 0.165501 | + | 0.286657i | ||||
\(717\) | 25.8345 | − | 6.92234i | 0.964808 | − | 0.258520i | ||||
\(718\) | 0.211571 | + | 5.65436i | 0.00789576 | + | 0.211019i | ||||
\(719\) | −0.488676 | − | 0.333174i | −0.0182245 | − | 0.0124253i | 0.554174 | − | 0.832401i | \(-0.313034\pi\) |
−0.572398 | + | 0.819976i | \(0.693987\pi\) | |||||||
\(720\) | −3.30535 | − | 3.75201i | −0.123183 | − | 0.139829i | ||||
\(721\) | −13.0819 | + | 9.55199i | −0.487194 | + | 0.355735i | ||||
\(722\) | −4.21722 | − | 37.4288i | −0.156948 | − | 1.39296i | ||||
\(723\) | 4.47768 | + | 2.36652i | 0.166527 | + | 0.0880119i | ||||
\(724\) | −2.80484 | − | 7.14662i | −0.104241 | − | 0.265602i | ||||
\(725\) | 3.27322 | − | 0.0759178i | 0.121564 | − | 0.00281952i | ||||
\(726\) | 18.2701 | + | 7.17048i | 0.678067 | + | 0.266122i | ||||
\(727\) | 0.511824 | + | 1.46271i | 0.0189825 | + | 0.0542489i | 0.952985 | − | 0.303018i | \(-0.0979943\pi\) |
−0.934002 | + | 0.357267i | \(0.883709\pi\) | |||||||
\(728\) | 0.468303 | + | 2.10121i | 0.0173565 | + | 0.0778759i | ||||
\(729\) | −2.57724 | − | 5.35169i | −0.0954533 | − | 0.198211i | ||||
\(730\) | −0.372899 | − | 2.99684i | −0.0138016 | − | 0.110918i | ||||
\(731\) | 9.34062 | − | 30.2816i | 0.345475 | − | 1.12000i | ||||
\(732\) | −1.83962 | + | 9.72264i | −0.0679944 | + | 0.359359i | ||||
\(733\) | 33.1179 | − | 24.4421i | 1.22324 | − | 0.902791i | 0.225789 | − | 0.974176i | \(-0.427504\pi\) |
0.997449 | + | 0.0713854i | \(0.0227420\pi\) | |||||||
\(734\) | 19.0950 | 0.704811 | ||||||||
\(735\) | 6.82350 | − | 11.8563i | 0.251689 | − | 0.437325i | ||||
\(736\) | −0.580147 | −0.0213845 | ||||||||
\(737\) | 41.9089 | − | 30.9301i | 1.54373 | − | 1.13933i | ||||
\(738\) | −1.25421 | + | 6.62866i | −0.0461681 | + | 0.244004i | ||||
\(739\) | −15.2435 | + | 49.4181i | −0.560740 | + | 1.81787i | 0.0145079 | + | 0.999895i | \(0.495382\pi\) |
−0.575248 | + | 0.817979i | \(0.695094\pi\) | |||||||
\(740\) | 17.6098 | + | 13.7124i | 0.647349 | + | 0.504076i | ||||
\(741\) | 2.32257 | + | 4.82287i | 0.0853219 | + | 0.177173i | ||||
\(742\) | −0.963900 | + | 1.19610i | −0.0353859 | + | 0.0439103i | ||||
\(743\) | 10.3896 | + | 29.6919i | 0.381159 | + | 1.08929i | 0.961474 | + | 0.274898i | \(0.0886439\pi\) |
−0.580314 | + | 0.814392i | \(0.697070\pi\) | |||||||
\(744\) | −4.22617 | − | 1.65865i | −0.154939 | − | 0.0608091i | ||||
\(745\) | 0.411970 | − | 15.9611i | 0.0150934 | − | 0.584769i | ||||
\(746\) | −9.77864 | − | 24.9156i | −0.358021 | − | 0.912223i | ||||
\(747\) | −17.8445 | − | 9.43107i | −0.652895 | − | 0.345065i | ||||
\(748\) | 2.22299 | + | 19.7296i | 0.0812806 | + | 0.721385i | ||||
\(749\) | 0.313685 | − | 0.0576937i | 0.0114618 | − | 0.00210808i | ||||
\(750\) | −7.14534 | − | 6.66477i | −0.260911 | − | 0.243363i | ||||
\(751\) | 5.31833 | + | 3.62597i | 0.194068 | + | 0.132314i | 0.656456 | − | 0.754364i | \(-0.272055\pi\) |
−0.462388 | + | 0.886678i | \(0.653007\pi\) | |||||||
\(752\) | −0.326878 | − | 8.73599i | −0.0119200 | − | 0.318569i | ||||
\(753\) | −5.45584 | + | 1.46189i | −0.198822 | + | 0.0532742i | ||||
\(754\) | −0.266403 | − | 0.461423i | −0.00970181 | − | 0.0168040i | ||||
\(755\) | 17.8809 | + | 3.16896i | 0.650752 | + | 0.115330i | ||||
\(756\) | 10.7332 | − | 5.60269i | 0.390363 | − | 0.203768i | ||||
\(757\) | −11.7542 | − | 7.38566i | −0.427214 | − | 0.268436i | 0.301217 | − | 0.953556i | \(-0.402607\pi\) |
−0.728431 | + | 0.685119i | \(0.759750\pi\) | |||||||
\(758\) | −22.1534 | − | 0.828920i | −0.804646 | − | 0.0301077i | ||||
\(759\) | −2.89999 | + | 0.437103i | −0.105263 | + | 0.0158658i | ||||
\(760\) | 9.32012 | − | 14.0166i | 0.338076 | − | 0.508434i | ||||
\(761\) | 5.55787 | + | 5.98996i | 0.201473 | + | 0.217136i | 0.825704 | − | 0.564104i | \(-0.190778\pi\) |
−0.624231 | + | 0.781240i | \(0.714588\pi\) | |||||||
\(762\) | 7.80415 | − | 12.4202i | 0.282714 | − | 0.449937i | ||||
\(763\) | −2.37033 | − | 16.2906i | −0.0858119 | − | 0.589758i | ||||
\(764\) | 20.1000 | + | 4.58769i | 0.727192 | + | 0.165977i | ||||
\(765\) | 3.62498 | − | 16.7764i | 0.131061 | − | 0.606551i | ||||
\(766\) | 11.7484 | + | 6.78292i | 0.424485 | + | 0.245077i | ||||
\(767\) | 5.33659 | − | 0.199681i | 0.192693 | − | 0.00721006i | ||||
\(768\) | −0.858720 | + | 0.162479i | −0.0309864 | + | 0.00586294i | ||||
\(769\) | −12.7267 | − | 15.9588i | −0.458938 | − | 0.575490i | 0.497486 | − | 0.867472i | \(-0.334257\pi\) |
−0.956424 | + | 0.291982i | \(0.905685\pi\) | |||||||
\(770\) | 21.1619 | − | 26.8921i | 0.762622 | − | 0.969124i | ||||
\(771\) | 1.38449 | − | 1.73609i | 0.0498611 | − | 0.0625239i | ||||
\(772\) | 8.58178 | − | 16.2375i | 0.308865 | − | 0.584401i | ||||
\(773\) | 13.9656 | + | 6.09314i | 0.502309 | + | 0.219155i | 0.635740 | − | 0.771903i | \(-0.280695\pi\) |
−0.133432 | + | 0.991058i | \(0.542600\pi\) | |||||||
\(774\) | −20.5872 | − | 1.54280i | −0.739993 | − | 0.0554548i | ||||
\(775\) | 24.9908 | + | 7.07836i | 0.897695 | + | 0.254262i | ||||
\(776\) | −1.66324 | + | 3.45376i | −0.0597070 | + | 0.123983i | ||||
\(777\) | −18.1176 | + | 14.2974i | −0.649965 | + | 0.512918i | ||||
\(778\) | 3.14599 | + | 1.10083i | 0.112789 | + | 0.0394666i | ||||
\(779\) | −22.6463 | + | 1.69710i | −0.811387 | + | 0.0608051i | ||||
\(780\) | −0.393709 | + | 1.54058i | −0.0140971 | + | 0.0551615i | ||||
\(781\) | −24.1033 | + | 16.4334i | −0.862486 | + | 0.588033i | ||||
\(782\) | −1.18251 | − | 1.60224i | −0.0422864 | − | 0.0572960i | ||||
\(783\) | −2.11891 | + | 2.11891i | −0.0757238 | + | 0.0757238i | ||||
\(784\) | 3.43786 | + | 6.09763i | 0.122781 | + | 0.217773i | ||||
\(785\) | 2.14300 | − | 2.36400i | 0.0764870 | − | 0.0843747i | ||||
\(786\) | 18.0389 | + | 2.71893i | 0.643427 | + | 0.0969811i | ||||
\(787\) | 19.6664 | + | 3.72108i | 0.701030 | + | 0.132642i | 0.524195 | − | 0.851598i | \(-0.324366\pi\) |
0.176835 | + | 0.984240i | \(0.443414\pi\) | |||||||
\(788\) | −4.97740 | − | 9.41769i | −0.177312 | − | 0.335491i | ||||
\(789\) | 1.92186 | + | 25.6455i | 0.0684201 | + | 0.913003i | ||||
\(790\) | −5.81428 | + | 19.6557i | −0.206863 | + | 0.699319i | ||||
\(791\) | 5.43428 | + | 1.93276i | 0.193221 | + | 0.0687211i | ||||
\(792\) | 12.2089 | − | 4.27207i | 0.433823 | − | 0.151801i | ||||
\(793\) | −8.44386 | + | 3.68402i | −0.299850 | + | 0.130823i | ||||
\(794\) | 0.566428 | − | 7.55846i | 0.0201018 | − | 0.268240i | ||||
\(795\) | −1.03464 | + | 0.465763i | −0.0366950 | + | 0.0165189i | ||||
\(796\) | 2.77404 | + | 8.99322i | 0.0983233 | + | 0.318756i | ||||
\(797\) | 14.5403 | − | 1.63830i | 0.515045 | − | 0.0580316i | 0.149383 | − | 0.988779i | \(-0.452271\pi\) |
0.365662 | + | 0.930748i | \(0.380843\pi\) | |||||||
\(798\) | 11.7737 | + | 12.8198i | 0.416785 | + | 0.453817i | ||||
\(799\) | 23.4607 | − | 18.7093i | 0.829979 | − | 0.661886i | ||||
\(800\) | 4.79832 | − | 1.40573i | 0.169646 | − | 0.0497002i | ||||
\(801\) | −24.1505 | + | 26.0280i | −0.853315 | + | 0.919655i | ||||
\(802\) | 1.67527 | + | 6.25220i | 0.0591559 | + | 0.220773i | ||||
\(803\) | 7.54579 | + | 2.02189i | 0.266285 | + | 0.0713509i | ||||
\(804\) | −1.75122 | + | 7.67261i | −0.0617609 | + | 0.270592i | ||||
\(805\) | −0.489523 | + | 3.39710i | −0.0172534 | + | 0.119732i | ||||
\(806\) | −0.940554 | − | 4.12084i | −0.0331296 | − | 0.145150i | ||||
\(807\) | −0.191644 | + | 5.12178i | −0.00674617 | + | 0.180295i | ||||
\(808\) | 9.36828 | − | 12.6936i | 0.329575 | − | 0.446558i | ||||
\(809\) | −2.91151 | − | 19.3166i | −0.102363 | − | 0.679135i | −0.979880 | − | 0.199589i | \(-0.936039\pi\) |
0.877517 | − | 0.479546i | \(-0.159199\pi\) | |||||||
\(810\) | −6.05753 | + | 0.0702386i | −0.212840 | + | 0.00246793i | ||||
\(811\) | −11.4407 | + | 2.61126i | −0.401737 | + | 0.0916938i | −0.418615 | − | 0.908164i | \(-0.637484\pi\) |
0.0168784 | + | 0.999858i | \(0.494627\pi\) | |||||||
\(812\) | −1.26397 | − | 1.18487i | −0.0443566 | − | 0.0415807i | ||||
\(813\) | −16.3343 | + | 10.2635i | −0.572868 | + | 0.359957i | ||||
\(814\) | −49.9994 | + | 28.8672i | −1.75248 | + | 1.01179i | ||||
\(815\) | −11.0280 | − | 34.3335i | −0.386295 | − | 1.20265i | ||||
\(816\) | −2.19905 | − | 2.04042i | −0.0769822 | − | 0.0714291i | ||||
\(817\) | −12.9202 | − | 68.2850i | −0.452021 | − | 2.38899i | ||||
\(818\) | −7.58568 | − | 0.854700i | −0.265227 | − | 0.0298839i | ||||
\(819\) | 4.24458 | + | 2.27115i | 0.148318 | + | 0.0793604i | ||||
\(820\) | −5.47379 | − | 3.94263i | −0.191153 | − | 0.137683i | ||||
\(821\) | −52.4301 | + | 16.1725i | −1.82982 | + | 0.564426i | −0.829844 | + | 0.557995i | \(0.811571\pi\) |
−0.999979 | + | 0.00643043i | \(0.997953\pi\) | |||||||
\(822\) | −2.82861 | + | 6.48325i | −0.0986593 | + | 0.226129i | ||||
\(823\) | −3.93050 | + | 3.38247i | −0.137009 | + | 0.117905i | −0.718122 | − | 0.695917i | \(-0.754998\pi\) |
0.581114 | + | 0.813822i | \(0.302617\pi\) | |||||||
\(824\) | 2.23672 | − | 5.69906i | 0.0779198 | − | 0.198536i | ||||
\(825\) | 22.9263 | − | 10.6421i | 0.798192 | − | 0.370510i | ||||
\(826\) | 16.4194 | − | 5.65140i | 0.571305 | − | 0.196637i | ||||
\(827\) | −16.8001 | + | 48.0120i | −0.584198 | + | 1.66954i | 0.148439 | + | 0.988922i | \(0.452575\pi\) |
−0.732637 | + | 0.680620i | \(0.761710\pi\) | |||||||
\(828\) | −0.846228 | + | 0.983335i | −0.0294085 | + | 0.0341732i | ||||
\(829\) | −37.9905 | − | 11.7185i | −1.31947 | − | 0.407001i | −0.446501 | − | 0.894783i | \(-0.647330\pi\) |
−0.872966 | + | 0.487782i | \(0.837806\pi\) | |||||||
\(830\) | 16.0985 | − | 12.1721i | 0.558788 | − | 0.422499i | ||||
\(831\) | 1.81876 | − | 12.0667i | 0.0630920 | − | 0.418588i | ||||
\(832\) | −0.575349 | − | 0.575349i | −0.0199466 | − | 0.0199466i | ||||
\(833\) | −9.83299 | + | 21.9234i | −0.340693 | + | 0.759600i | ||||
\(834\) | 0.691635i | 0.0239494i | ||||||||
\(835\) | −23.2121 | + | 18.9554i | −0.803287 | + | 0.655980i | ||||
\(836\) | 24.5280 | + | 35.9759i | 0.848317 | + | 1.24425i | ||||
\(837\) | −21.0175 | + | 11.1081i | −0.726472 | + | 0.383952i | ||||
\(838\) | 10.9737 | + | 9.44366i | 0.379081 | + | 0.326226i | ||||
\(839\) | 11.6024 | − | 5.58742i | 0.400559 | − | 0.192899i | −0.222748 | − | 0.974876i | \(-0.571503\pi\) |
0.623308 | + | 0.781977i | \(0.285788\pi\) | |||||||
\(840\) | 0.226828 | + | 5.16542i | 0.00782631 | + | 0.178224i | ||||
\(841\) | −25.7418 | − | 12.3966i | −0.887647 | − | 0.427468i | ||||
\(842\) | 5.33279 | + | 12.2229i | 0.183780 | + | 0.421229i | ||||
\(843\) | 12.3524 | + | 14.3538i | 0.425441 | + | 0.494371i | ||||
\(844\) | 8.30560 | − | 3.25971i | 0.285891 | − | 0.112204i | ||||
\(845\) | 25.9329 | − | 9.41321i | 0.892119 | − | 0.323824i | ||||
\(846\) | −15.2841 | − | 12.1887i | −0.525478 | − | 0.419055i | ||||
\(847\) | 29.4451 | + | 51.6076i | 1.01174 | + | 1.77326i | ||||
\(848\) | 0.0650078 | − | 0.576960i | 0.00223238 | − | 0.0198129i | ||||
\(849\) | 4.86504 | − | 7.13570i | 0.166968 | − | 0.244897i | ||||
\(850\) | 13.6627 | + | 10.3866i | 0.468627 | + | 0.356259i | ||||
\(851\) | 2.89531 | − | 5.01483i | 0.0992501 | − | 0.171906i | ||||
\(852\) | 1.14081 | − | 4.25754i | 0.0390833 | − | 0.145861i | ||||
\(853\) | −22.0630 | − | 35.1130i | −0.755422 | − | 1.20225i | −0.974027 | − | 0.226433i | \(-0.927294\pi\) |
0.218605 | − | 0.975813i | \(-0.429849\pi\) | |||||||
\(854\) | −22.8052 | + | 19.4235i | −0.780379 | + | 0.664660i | ||||
\(855\) | −10.1630 | − | 36.2426i | −0.347567 | − | 1.23947i | ||||
\(856\) | −0.0883698 | + | 0.0819952i | −0.00302042 | + | 0.00280254i | ||||
\(857\) | −8.54657 | − | 6.30766i | −0.291945 | − | 0.215466i | 0.437993 | − | 0.898978i | \(-0.355689\pi\) |
−0.729939 | + | 0.683513i | \(0.760451\pi\) | |||||||
\(858\) | −3.30949 | − | 2.44252i | −0.112984 | − | 0.0833861i | ||||
\(859\) | −39.6138 | + | 36.7563i | −1.35161 | + | 1.25411i | −0.412292 | + | 0.911052i | \(0.635272\pi\) |
−0.939315 | + | 0.343056i | \(0.888538\pi\) | |||||||
\(860\) | 10.1139 | − | 17.9965i | 0.344881 | − | 0.613675i | ||||
\(861\) | 5.31061 | − | 4.52312i | 0.180985 | − | 0.154148i | ||||
\(862\) | 11.7785 | + | 18.7454i | 0.401178 | + | 0.638471i | ||||
\(863\) | 4.05504 | − | 15.1336i | 0.138035 | − | 0.515155i | −0.861932 | − | 0.507025i | \(-0.830745\pi\) |
0.999967 | − | 0.00813029i | \(-0.00258798\pi\) | |||||||
\(864\) | −2.28811 | + | 3.96311i | −0.0778429 | + | 0.134828i | ||||
\(865\) | −1.77861 | − | 20.5359i | −0.0604747 | − | 0.698240i | ||||
\(866\) | 12.9006 | − | 18.9218i | 0.438382 | − | 0.642988i | ||||
\(867\) | −0.510584 | + | 4.53155i | −0.0173403 | + | 0.153900i | ||||
\(868\) | −6.81112 | − | 11.9377i | −0.231185 | − | 0.405191i | ||||
\(869\) | −41.4551 | − | 33.0594i | −1.40627 | − | 1.12146i | ||||
\(870\) | −0.436623 | − | 1.20287i | −0.0148029 | − | 0.0407813i | ||||
\(871\) | −6.82053 | + | 2.67686i | −0.231105 | + | 0.0907019i | ||||
\(872\) | 4.05859 | + | 4.71617i | 0.137441 | + | 0.159710i | ||||
\(873\) | 3.42796 | + | 7.85697i | 0.116019 | + | 0.265918i | ||||
\(874\) | −3.93466 | − | 1.89483i | −0.133092 | − | 0.0640937i | ||||
\(875\) | −4.18262 | − | 29.2832i | −0.141398 | − | 0.989953i | ||||
\(876\) | −1.06344 | + | 0.512127i | −0.0359304 | + | 0.0173032i | ||||
\(877\) | −14.2436 | − | 12.2576i | −0.480972 | − | 0.413910i | 0.378100 | − | 0.925765i | \(-0.376578\pi\) |
−0.859072 | + | 0.511855i | \(0.828959\pi\) | |||||||
\(878\) | 16.5547 | − | 8.74942i | 0.558694 | − | 0.295279i | ||||
\(879\) | −1.18925 | − | 1.74430i | −0.0401123 | − | 0.0588339i | ||||
\(880\) | −1.29903 | + | 12.8686i | −0.0437902 | + | 0.433799i | ||||
\(881\) | 44.7594i | 1.50798i | 0.656885 | + | 0.753990i | \(0.271874\pi\) | ||||
−0.656885 | + | 0.753990i | \(0.728126\pi\) | |||||||
\(882\) | 15.3500 | + | 3.06718i | 0.516860 | + | 0.103277i | ||||
\(883\) | 9.29847 | + | 9.29847i | 0.312918 | + | 0.312918i | 0.846039 | − | 0.533121i | \(-0.178981\pi\) |
−0.533121 | + | 0.846039i | \(0.678981\pi\) | |||||||
\(884\) | 0.416262 | − | 2.76172i | 0.0140004 | − | 0.0928867i | ||||
\(885\) | 12.7042 | + | 1.76446i | 0.427047 | + | 0.0593115i | ||||
\(886\) | 2.44680 | + | 0.754739i | 0.0822020 | + | 0.0253560i | ||||
\(887\) | −1.05099 | + | 1.22127i | −0.0352888 | + | 0.0410063i | −0.775339 | − | 0.631546i | \(-0.782421\pi\) |
0.740050 | + | 0.672552i | \(0.234802\pi\) | |||||||
\(888\) | 2.88110 | − | 8.23372i | 0.0966834 | − | 0.276305i | ||||
\(889\) | 41.9890 | − | 14.4522i | 1.40827 | − | 0.484710i | ||||
\(890\) | −13.3535 | − | 32.8974i | −0.447610 | − | 1.10272i | ||||
\(891\) | 5.72512 | − | 14.5874i | 0.191799 | − | 0.488695i | ||||
\(892\) | −13.8587 | + | 11.9263i | −0.464022 | + | 0.399324i | ||||
\(893\) | 26.3159 | − | 60.3168i | 0.880629 | − | 2.01842i | ||||
\(894\) | −5.96315 | + | 1.83939i | −0.199437 | + | 0.0615183i | ||||
\(895\) | −11.5750 | + | 16.0703i | −0.386910 | + | 0.537170i | ||||
\(896\) | −2.33280 | − | 1.24821i | −0.0779334 | − | 0.0416999i | ||||
\(897\) | 0.409953 | + | 0.0461907i | 0.0136879 | + | 0.00154226i | ||||
\(898\) | −6.90938 | − | 36.5170i | −0.230569 | − | 1.21859i | ||||
\(899\) | 2.49358 | + | 2.31370i | 0.0831655 | + | 0.0771663i | ||||
\(900\) | 4.61637 | − | 10.1835i | 0.153879 | − | 0.339450i | ||||
\(901\) | 1.72594 | − | 0.996475i | 0.0574996 | − | 0.0331974i | ||||
\(902\) | 14.7755 | − | 9.28404i | 0.491969 | − | 0.309125i | ||||
\(903\) | 15.5742 | + | 14.5996i | 0.518279 | + | 0.485844i | ||||
\(904\) | −2.12535 | + | 0.485097i | −0.0706880 | + | 0.0161341i | ||||
\(905\) | 11.9974 | − | 12.2788i | 0.398805 | − | 0.408162i | ||||
\(906\) | −1.05784 | − | 7.01828i | −0.0351443 | − | 0.233167i | ||||
\(907\) | −24.6481 | + | 33.3970i | −0.818427 | + | 1.10893i | 0.173836 | + | 0.984775i | \(0.444384\pi\) |
−0.992263 | + | 0.124155i | \(0.960378\pi\) | |||||||
\(908\) | −0.189167 | + | 5.05560i | −0.00627773 | + | 0.167776i | ||||
\(909\) | −7.85030 | − | 34.3944i | −0.260378 | − | 1.14079i | ||||
\(910\) | −3.85449 | + | 2.88354i | −0.127775 | + | 0.0955883i | ||||
\(911\) | −0.832502 | + | 3.64743i | −0.0275820 | + | 0.120845i | −0.986845 | − | 0.161671i | \(-0.948312\pi\) |
0.959263 | + | 0.282516i | \(0.0911689\pi\) | |||||||
\(912\) | −6.35468 | − | 1.70273i | −0.210424 | − | 0.0563830i | ||||
\(913\) | 13.5122 | + | 50.4282i | 0.447189 | + | 1.66893i | ||||
\(914\) | −0.776311 | + | 0.836665i | −0.0256781 | + | 0.0276744i | ||||
\(915\) | −21.5129 | + | 5.17333i | −0.711196 | + | 0.171025i | ||||
\(916\) | 10.4334 | − | 8.32032i | 0.344728 | − | 0.274911i | ||||
\(917\) | 37.3562 | + | 40.6754i | 1.23361 | + | 1.34322i | ||||
\(918\) | −15.6091 | + | 1.75872i | −0.515177 | + | 0.0580465i | ||||
\(919\) | 5.95297 | + | 19.2991i | 0.196371 | + | 0.636618i | 0.999184 | + | 0.0403874i | \(0.0128592\pi\) |
−0.802814 | + | 0.596230i | \(0.796665\pi\) | |||||||
\(920\) | −0.532510 | − | 1.18291i | −0.0175563 | − | 0.0389995i | ||||
\(921\) | 1.41540 | − | 18.8872i | 0.0466389 | − | 0.622353i | ||||
\(922\) | −21.1592 | + | 9.23167i | −0.696842 | + | 0.304029i | ||||
\(923\) | 3.87338 | − | 1.35535i | 0.127494 | − | 0.0446120i | ||||
\(924\) | −12.6014 | − | 4.48185i | −0.414557 | − | 0.147442i | ||||
\(925\) | −11.7955 | + | 48.4926i | −0.387835 | + | 1.59443i | ||||
\(926\) | −2.53533 | − | 33.8316i | −0.0833160 | − | 1.11177i | ||||
\(927\) | −6.39720 | − | 12.1041i | −0.210112 | − | 0.397551i | ||||
\(928\) | 0.643404 | + | 0.121739i | 0.0211208 | + | 0.00399627i | ||||
\(929\) | 15.4785 | + | 2.33301i | 0.507833 | + | 0.0765435i | 0.397961 | − | 0.917402i | \(-0.369718\pi\) |
0.109872 | + | 0.993946i | \(0.464956\pi\) | |||||||
\(930\) | −0.497183 | − | 10.1396i | −0.0163033 | − | 0.332490i | ||||
\(931\) | 3.40058 | + | 52.5838i | 0.111449 | + | 1.72336i | ||||
\(932\) | 10.6299 | − | 10.6299i | 0.348195 | − | 0.348195i | ||||
\(933\) | −4.04875 | − | 5.48587i | −0.132550 | − | 0.179599i | ||||
\(934\) | 22.8003 | − | 15.5450i | 0.746050 | − | 0.508648i | ||||
\(935\) | −38.1880 | + | 22.6422i | −1.24888 | + | 0.740480i | ||||
\(936\) | −1.81443 | + | 0.135973i | −0.0593066 | + | 0.00444442i | ||||
\(937\) | −10.0311 | − | 3.51003i | −0.327701 | − | 0.114668i | 0.161414 | − | 0.986887i | \(-0.448395\pi\) |
−0.489115 | + | 0.872219i | \(0.662680\pi\) | |||||||
\(938\) | −18.7027 | + | 14.7592i | −0.610663 | + | 0.481904i | ||||
\(939\) | −0.813483 | + | 1.68921i | −0.0265470 | + | 0.0551254i | ||||
\(940\) | 17.5126 | − | 8.68517i | 0.571197 | − | 0.283279i | ||||
\(941\) | −9.91839 | − | 0.743281i | −0.323330 | − | 0.0242303i | −0.0879237 | − | 0.996127i | \(-0.528023\pi\) |
−0.235407 | + | 0.971897i | \(0.575642\pi\) | |||||||
\(942\) | −1.14304 | − | 0.498702i | −0.0372422 | − | 0.0162486i | ||||
\(943\) | −0.817819 | + | 1.54739i | −0.0266319 | + | 0.0503899i | ||||
\(944\) | −4.09214 | + | 5.13138i | −0.133188 | + | 0.167012i | ||||
\(945\) | 21.2757 | + | 16.7423i | 0.692099 | + | 0.544626i | ||||
\(946\) | 33.2950 | + | 41.7506i | 1.08251 | + | 1.35743i | ||||
\(947\) | 3.09741 | − | 0.586061i | 0.100652 | − | 0.0190444i | −0.135341 | − | 0.990799i | \(-0.543213\pi\) |
0.235994 | + | 0.971755i | \(0.424166\pi\) | |||||||
\(948\) | 8.00580 | − | 0.299556i | 0.260016 | − | 0.00972913i | ||||
\(949\) | −0.951681 | − | 0.549453i | −0.0308929 | − | 0.0178360i | ||||
\(950\) | 37.1344 | + | 6.13800i | 1.20480 | + | 0.199143i | ||||
\(951\) | 14.3076 | + | 3.26561i | 0.463954 | + | 0.105895i | ||||
\(952\) | −1.30763 | − | 8.98692i | −0.0423805 | − | 0.291268i | ||||
\(953\) | −24.5730 | + | 39.1077i | −0.795996 | + | 1.26682i | 0.163903 | + | 0.986476i | \(0.447592\pi\) |
−0.959899 | + | 0.280345i | \(0.909551\pi\) | |||||||
\(954\) | −0.883111 | − | 0.951767i | −0.0285918 | − | 0.0308146i | ||||
\(955\) | 9.09529 | + | 45.1947i | 0.294317 | + | 1.46247i | ||||
\(956\) | −30.2614 | + | 4.56117i | −0.978723 | + | 0.147519i | ||||
\(957\) | 3.30791 | + | 0.123773i | 0.106930 | + | 0.00400103i | ||||
\(958\) | −12.5891 | − | 7.91023i | −0.406734 | − | 0.255568i | ||||
\(959\) | −18.9830 | + | 9.90904i | −0.612993 | + | 0.319980i | ||||
\(960\) | −1.11950 | − | 1.60178i | −0.0361318 | − | 0.0516974i | ||||
\(961\) | −2.00717 | − | 3.47653i | −0.0647475 | − | 0.112146i | ||||
\(962\) | 7.84473 | − | 2.10199i | 0.252924 | − | 0.0677708i | ||||
\(963\) | 0.0100797 | + | 0.269387i | 0.000324815 | + | 0.00868086i | ||||
\(964\) | −4.78806 | − | 3.26445i | −0.154213 | − | 0.105141i | ||||
\(965\) | 40.9852 | + | 2.59393i | 1.31936 | + | 0.0835016i | ||||
\(966\) | 1.31933 | − | 0.242654i | 0.0424487 | − | 0.00780726i | ||||
\(967\) | −2.91123 | − | 25.8378i | −0.0936187 | − | 0.830889i | −0.949511 | − | 0.313734i | \(-0.898420\pi\) |
0.855892 | − | 0.517154i | \(-0.173009\pi\) | |||||||
\(968\) | −19.8550 | − | 10.4937i | −0.638163 | − | 0.337279i | ||||
\(969\) | −8.25010 | − | 21.0209i | −0.265031 | − | 0.675289i | ||||
\(970\) | −8.56886 | − | 0.221170i | −0.275129 | − | 0.00710134i | ||||
\(971\) | −10.1111 | − | 3.96832i | −0.324481 | − | 0.127349i | 0.197509 | − | 0.980301i | \(-0.436715\pi\) |
−0.521990 | + | 0.852952i | \(0.674810\pi\) | |||||||
\(972\) | 5.31629 | + | 15.1931i | 0.170520 | + | 0.487318i | ||||
\(973\) | −1.31381 | + | 1.63031i | −0.0421189 | + | 0.0522653i | ||||
\(974\) | 16.3061 | + | 33.8600i | 0.522482 | + | 1.08495i | ||||
\(975\) | −3.50260 | + | 0.611307i | −0.112173 | + | 0.0195775i | ||||
\(976\) | 3.33729 | − | 10.8192i | 0.106824 | − | 0.346315i | ||||
\(977\) | −9.59007 | + | 50.6847i | −0.306814 | + | 1.62155i | 0.401644 | + | 0.915796i | \(0.368439\pi\) |
−0.708458 | + | 0.705753i | \(0.750609\pi\) | |||||||
\(978\) | −11.3403 | + | 8.36949i | −0.362621 | + | 0.267627i | ||||
\(979\) | 91.8422 | 2.93529 | ||||||||
\(980\) | −9.27743 | + | 12.6067i | −0.296357 | + | 0.402707i | ||||
\(981\) | 13.9138 | 0.444234 | ||||||||
\(982\) | 15.8508 | − | 11.6984i | 0.505818 | − | 0.373311i | ||||
\(983\) | −0.881159 | + | 4.65704i | −0.0281046 | + | 0.148536i | −0.993808 | − | 0.111112i | \(-0.964559\pi\) |
0.965703 | + | 0.259648i | \(0.0836065\pi\) | |||||||
\(984\) | −0.777149 | + | 2.51945i | −0.0247746 | + | 0.0803173i | ||||
\(985\) | 14.6339 | − | 18.7933i | 0.466275 | − | 0.598803i | ||||
\(986\) | 0.975229 | + | 2.02508i | 0.0310576 | + | 0.0644918i | ||||
\(987\) | 4.39730 | + | 19.7300i | 0.139968 | + | 0.628014i | ||||
\(988\) | −2.02296 | − | 5.78129i | −0.0643589 | − | 0.183927i | ||||
\(989\) | −4.98577 | − | 1.95677i | −0.158538 | − | 0.0622216i | ||||
\(990\) | 19.9171 | + | 20.9725i | 0.633006 | + | 0.666549i | ||||
\(991\) | 18.5316 | + | 47.2178i | 0.588677 | + | 1.49992i | 0.845775 | + | 0.533539i | \(0.179138\pi\) |
−0.257098 | + | 0.966385i | \(0.582766\pi\) | |||||||
\(992\) | 4.59278 | + | 2.42735i | 0.145821 | + | 0.0770686i | ||||
\(993\) | 1.19034 | + | 10.5646i | 0.0377744 | + | 0.335257i | ||||
\(994\) | 10.7766 | − | 7.86876i | 0.341814 | − | 0.249582i | ||||
\(995\) | −15.7908 | + | 13.9110i | −0.500603 | + | 0.441009i | ||||
\(996\) | −6.51747 | − | 4.44354i | −0.206514 | − | 0.140799i | ||||
\(997\) | 0.215539 | + | 5.76040i | 0.00682619 | + | 0.182434i | 0.998542 | + | 0.0539818i | \(0.0171913\pi\) |
−0.991716 | + | 0.128452i | \(0.958999\pi\) | |||||||
\(998\) | 25.2120 | − | 6.75554i | 0.798072 | − | 0.213843i | ||||
\(999\) | −22.8383 | − | 39.5571i | −0.722572 | − | 1.25153i |
(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 | 490.2.w.a.353.6 | yes | 672 | |
5.2 | odd | 4 | inner | 490.2.w.a.157.9 | yes | 672 | |
49.5 | odd | 42 | inner | 490.2.w.a.103.9 | ✓ | 672 | |
245.152 | even | 84 | inner | 490.2.w.a.397.6 | yes | 672 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
490.2.w.a.103.9 | ✓ | 672 | 49.5 | odd | 42 | inner | |
490.2.w.a.157.9 | yes | 672 | 5.2 | odd | 4 | inner | |
490.2.w.a.353.6 | yes | 672 | 1.1 | even | 1 | trivial | |
490.2.w.a.397.6 | yes | 672 | 245.152 | even | 84 | inner |