Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1386,2,Mod(701,1386)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1386, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1386.701");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1386 = 2 \cdot 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1386.bu (of order \(10\), degree \(4\), 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: | \(11.0672657201\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 827.7 | ||
Character | \(\chi\) | \(=\) | 1386.827 |
Dual form | 1386.2.bu.a.1205.7 |
$q$-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 \(\left(\mathbb{Z}/1386\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(1135\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.309017 | − | 0.951057i | 0.218508 | − | 0.672499i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.809017 | − | 0.587785i | −0.404508 | − | 0.293893i | ||||
\(5\) | 0.599043 | − | 0.194641i | 0.267900 | − | 0.0870460i | −0.171987 | − | 0.985099i | \(-0.555019\pi\) |
0.439887 | + | 0.898053i | \(0.355019\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.587785 | + | 0.809017i | −0.222162 | + | 0.305780i | ||||
\(8\) | −0.809017 | + | 0.587785i | −0.286031 | + | 0.207813i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 0.629871i | − | 0.199183i | ||||||
\(11\) | −3.04975 | + | 1.30348i | −0.919533 | + | 0.393013i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.38667 | − | 0.775477i | −0.661944 | − | 0.215079i | −0.0412706 | − | 0.999148i | \(-0.513141\pi\) |
−0.620673 | + | 0.784069i | \(0.713141\pi\) | |||||||
\(14\) | 0.587785 | + | 0.809017i | 0.157092 | + | 0.216219i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.309017 | + | 0.951057i | 0.0772542 | + | 0.237764i | ||||
\(17\) | 0.701620 | + | 2.15936i | 0.170168 | + | 0.523722i | 0.999380 | − | 0.0352116i | \(-0.0112105\pi\) |
−0.829212 | + | 0.558934i | \(0.811211\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.0702465 | + | 0.0966860i | 0.0161157 | + | 0.0221813i | 0.816999 | − | 0.576639i | \(-0.195636\pi\) |
−0.800883 | + | 0.598821i | \(0.795636\pi\) | |||||||
\(20\) | −0.599043 | − | 0.194641i | −0.133950 | − | 0.0435230i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.297258 | + | 3.30328i | 0.0633756 | + | 0.704261i | ||||
\(23\) | 6.23072i | 1.29919i | 0.760278 | + | 0.649597i | \(0.225062\pi\) | ||||
−0.760278 | + | 0.649597i | \(0.774938\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.72412 | + | 2.70573i | −0.744824 | + | 0.541146i | ||||
\(26\) | −1.47504 | + | 2.03022i | −0.289280 | + | 0.398160i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.951057 | − | 0.309017i | 0.179733 | − | 0.0583987i | ||||
\(29\) | 1.61483 | + | 1.17324i | 0.299867 | + | 0.217866i | 0.727536 | − | 0.686069i | \(-0.240665\pi\) |
−0.427670 | + | 0.903935i | \(0.640665\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.811560 | − | 2.49773i | 0.145761 | − | 0.448605i | −0.851348 | − | 0.524602i | \(-0.824214\pi\) |
0.997108 | + | 0.0759974i | \(0.0242141\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.27049 | 0.389386 | ||||||||
\(35\) | −0.194641 | + | 0.599043i | −0.0329003 | + | 0.101257i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.0380106 | − | 0.0276163i | −0.00624891 | − | 0.00454010i | 0.584656 | − | 0.811281i | \(-0.301229\pi\) |
−0.590905 | + | 0.806741i | \(0.701229\pi\) | |||||||
\(38\) | 0.113661 | − | 0.0369308i | 0.0184383 | − | 0.00599096i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.370229 | + | 0.509576i | −0.0585383 | + | 0.0805711i | ||||
\(41\) | −5.70843 | + | 4.14742i | −0.891507 | + | 0.647718i | −0.936270 | − | 0.351280i | \(-0.885747\pi\) |
0.0447637 | + | 0.998998i | \(0.485747\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.49648i | 0.228212i | 0.993469 | + | 0.114106i | \(0.0364003\pi\) | ||||
−0.993469 | + | 0.114106i | \(0.963600\pi\) | |||||||
\(44\) | 3.23346 | + | 0.738060i | 0.487463 | + | 0.111267i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 5.92577 | + | 1.92540i | 0.873706 | + | 0.283884i | ||||
\(47\) | 4.12845 | + | 5.68232i | 0.602196 | + | 0.828852i | 0.995907 | − | 0.0903826i | \(-0.0288090\pi\) |
−0.393711 | + | 0.919234i | \(0.628809\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.309017 | − | 0.951057i | −0.0441453 | − | 0.135865i | ||||
\(50\) | 1.42249 | + | 4.37796i | 0.201170 | + | 0.619137i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.47504 | + | 2.03022i | 0.204552 | + | 0.281541i | ||||
\(53\) | −10.3106 | − | 3.35013i | −1.41628 | − | 0.460176i | −0.501858 | − | 0.864950i | \(-0.667350\pi\) |
−0.914417 | + | 0.404774i | \(0.867350\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.57322 | + | 1.37444i | −0.212133 | + | 0.185330i | ||||
\(56\) | − | 1.00000i | − | 0.133631i | ||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.61483 | − | 1.17324i | 0.212038 | − | 0.154054i | ||||
\(59\) | −7.91768 | + | 10.8978i | −1.03079 | + | 1.41877i | −0.126445 | + | 0.991974i | \(0.540357\pi\) |
−0.904349 | + | 0.426793i | \(0.859643\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.30272 | + | 1.07312i | −0.422870 | + | 0.137399i | −0.512719 | − | 0.858557i | \(-0.671362\pi\) |
0.0898486 | + | 0.995955i | \(0.471362\pi\) | |||||||
\(62\) | −2.12469 | − | 1.54368i | −0.269836 | − | 0.196047i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.309017 | − | 0.951057i | 0.0386271 | − | 0.118882i | ||||
\(65\) | −1.58066 | −0.196057 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.558084 | 0.0681808 | 0.0340904 | − | 0.999419i | \(-0.489147\pi\) | ||||
0.0340904 | + | 0.999419i | \(0.489147\pi\) | |||||||
\(68\) | 0.701620 | − | 2.15936i | 0.0850839 | − | 0.261861i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.509576 | + | 0.370229i | 0.0609060 | + | 0.0442508i | ||||
\(71\) | −0.452895 | + | 0.147154i | −0.0537487 | + | 0.0174640i | −0.335768 | − | 0.941945i | \(-0.608996\pi\) |
0.282019 | + | 0.959409i | \(0.408996\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.88539 | − | 12.2297i | 1.03996 | − | 1.43138i | 0.142753 | − | 0.989758i | \(-0.454404\pi\) |
0.897203 | − | 0.441619i | \(-0.145596\pi\) | |||||||
\(74\) | −0.0380106 | + | 0.0276163i | −0.00441864 | + | 0.00321033i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | − | 0.119511i | − | 0.0137088i | ||||||
\(77\) | 0.738060 | − | 3.23346i | 0.0841097 | − | 0.368487i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.26641 | + | 2.68592i | 0.930044 | + | 0.302190i | 0.734581 | − | 0.678521i | \(-0.237379\pi\) |
0.195463 | + | 0.980711i | \(0.437379\pi\) | |||||||
\(80\) | 0.370229 | + | 0.509576i | 0.0413928 | + | 0.0569724i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.18043 | + | 6.71066i | 0.240788 | + | 0.741068i | ||||
\(83\) | 1.75860 | + | 5.41240i | 0.193031 | + | 0.594088i | 0.999994 | + | 0.00348625i | \(0.00110971\pi\) |
−0.806963 | + | 0.590602i | \(0.798890\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.840600 | + | 1.15699i | 0.0911759 | + | 0.125493i | ||||
\(86\) | 1.42324 | + | 0.462439i | 0.153472 | + | 0.0498661i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.70113 | − | 2.84713i | 0.181341 | − | 0.303505i | ||||
\(89\) | 11.4637i | 1.21515i | 0.794263 | + | 0.607574i | \(0.207857\pi\) | ||||
−0.794263 | + | 0.607574i | \(0.792143\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.03022 | − | 1.47504i | 0.212825 | − | 0.154627i | ||||
\(92\) | 3.66232 | − | 5.04076i | 0.381824 | − | 0.525535i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 6.67997 | − | 2.17045i | 0.688986 | − | 0.223865i | ||||
\(95\) | 0.0608997 | + | 0.0442462i | 0.00624818 | + | 0.00453957i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.681563 | + | 2.09763i | −0.0692022 | + | 0.212983i | −0.979677 | − | 0.200582i | \(-0.935717\pi\) |
0.910475 | + | 0.413565i | \(0.135717\pi\) | |||||||
\(98\) | −1.00000 | −0.101015 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.60326 | 0.460326 | ||||||||
\(101\) | −0.960191 | + | 2.95516i | −0.0955425 | + | 0.294050i | −0.987395 | − | 0.158277i | \(-0.949406\pi\) |
0.891852 | + | 0.452327i | \(0.149406\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.465431 | − | 0.338156i | −0.0458603 | − | 0.0333195i | 0.564619 | − | 0.825352i | \(-0.309023\pi\) |
−0.610479 | + | 0.792032i | \(0.709023\pi\) | |||||||
\(104\) | 2.38667 | − | 0.775477i | 0.234032 | − | 0.0760418i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −6.37232 | + | 8.77075i | −0.618935 | + | 0.851891i | ||||
\(107\) | 1.75574 | − | 1.27562i | 0.169734 | − | 0.123319i | −0.499675 | − | 0.866213i | \(-0.666547\pi\) |
0.669409 | + | 0.742894i | \(0.266547\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 13.7150i | − | 1.31365i | −0.754041 | − | 0.656827i | \(-0.771898\pi\) | ||
0.754041 | − | 0.656827i | \(-0.228102\pi\) | |||||||
\(110\) | 0.821023 | + | 1.92095i | 0.0782814 | + | 0.183155i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.951057 | − | 0.309017i | −0.0898664 | − | 0.0291994i | ||||
\(113\) | −0.0122513 | − | 0.0168624i | −0.00115250 | − | 0.00158628i | 0.808440 | − | 0.588578i | \(-0.200312\pi\) |
−0.809593 | + | 0.586992i | \(0.800312\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.21275 | + | 3.73247i | 0.113090 | + | 0.348054i | ||||
\(116\) | −0.616811 | − | 1.89835i | −0.0572694 | − | 0.176257i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 7.91768 | + | 10.8978i | 0.728882 | + | 1.00322i | ||||
\(119\) | −2.15936 | − | 0.701620i | −0.197948 | − | 0.0643174i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 7.60189 | − | 7.95055i | 0.691081 | − | 0.722777i | ||||
\(122\) | 3.47269i | 0.314402i | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.12469 | + | 1.54368i | −0.190803 | + | 0.138626i | ||||
\(125\) | −3.55540 | + | 4.89359i | −0.318005 | + | 0.437696i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.48218 | + | 2.75603i | −0.752672 | + | 0.244558i | −0.660131 | − | 0.751151i | \(-0.729499\pi\) |
−0.0925415 | + | 0.995709i | \(0.529499\pi\) | |||||||
\(128\) | −0.809017 | − | 0.587785i | −0.0715077 | − | 0.0519534i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.488450 | + | 1.50330i | −0.0428399 | + | 0.131848i | ||||
\(131\) | 7.76303 | 0.678259 | 0.339130 | − | 0.940740i | \(-0.389868\pi\) | ||||
0.339130 | + | 0.940740i | \(0.389868\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.119511 | −0.0103629 | ||||||||
\(134\) | 0.172457 | − | 0.530770i | 0.0148981 | − | 0.0458515i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.83686 | − | 1.33456i | −0.157510 | − | 0.114438i | ||||
\(137\) | −2.85014 | + | 0.926068i | −0.243504 | + | 0.0791193i | −0.428226 | − | 0.903671i | \(-0.640861\pi\) |
0.184722 | + | 0.982791i | \(0.440861\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −9.57205 | + | 13.1748i | −0.811890 | + | 1.11747i | 0.179139 | + | 0.983824i | \(0.442669\pi\) |
−0.991029 | + | 0.133647i | \(0.957331\pi\) | |||||||
\(140\) | 0.509576 | − | 0.370229i | 0.0430671 | − | 0.0312900i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.476202i | 0.0399620i | ||||||||
\(143\) | 8.28956 | − | 0.745967i | 0.693208 | − | 0.0623809i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.19571 | + | 0.388511i | 0.0992986 | + | 0.0322641i | ||||
\(146\) | −8.88539 | − | 12.2297i | −0.735360 | − | 1.01214i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.0145188 | + | 0.0446841i | 0.00119343 | + | 0.00367301i | ||||
\(149\) | 0.734580 | + | 2.26081i | 0.0601792 | + | 0.185212i | 0.976627 | − | 0.214942i | \(-0.0689564\pi\) |
−0.916448 | + | 0.400155i | \(0.868956\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 9.10170 | + | 12.5274i | 0.740686 | + | 1.01947i | 0.998579 | + | 0.0532935i | \(0.0169719\pi\) |
−0.257893 | + | 0.966174i | \(0.583028\pi\) | |||||||
\(152\) | −0.113661 | − | 0.0369308i | −0.00921914 | − | 0.00299548i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.84713 | − | 1.70113i | −0.229428 | − | 0.137081i | ||||
\(155\) | − | 1.65421i | − | 0.132869i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.21273 | + | 3.78727i | −0.416021 | + | 0.302257i | −0.776035 | − | 0.630690i | \(-0.782772\pi\) |
0.360014 | + | 0.932947i | \(0.382772\pi\) | |||||||
\(158\) | 5.10892 | − | 7.03183i | 0.406444 | − | 0.559422i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.599043 | − | 0.194641i | 0.0473585 | − | 0.0153877i | ||||
\(161\) | −5.04076 | − | 3.66232i | −0.397267 | − | 0.288632i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.00137 | − | 18.4703i | 0.470064 | − | 1.44671i | −0.382437 | − | 0.923982i | \(-0.624915\pi\) |
0.852501 | − | 0.522726i | \(-0.175085\pi\) | |||||||
\(164\) | 7.05601 | 0.550981 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.69094 | 0.441702 | ||||||||
\(167\) | 7.22686 | − | 22.2420i | 0.559231 | − | 1.72114i | −0.125269 | − | 0.992123i | \(-0.539979\pi\) |
0.684500 | − | 0.729013i | \(-0.260021\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.42238 | − | 3.93959i | −0.417106 | − | 0.303045i | ||||
\(170\) | 1.36012 | − | 0.441930i | 0.104316 | − | 0.0338945i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.879612 | − | 1.21068i | 0.0670698 | − | 0.0923136i | ||||
\(173\) | 0.822523 | − | 0.597598i | 0.0625353 | − | 0.0454346i | −0.556078 | − | 0.831130i | \(-0.687695\pi\) |
0.618614 | + | 0.785695i | \(0.287695\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 4.60326i | − | 0.347974i | ||||||
\(176\) | −2.18210 | − | 2.49768i | −0.164482 | − | 0.188270i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 10.9026 | + | 3.54247i | 0.817185 | + | 0.265519i | ||||
\(179\) | −6.96958 | − | 9.59280i | −0.520931 | − | 0.716999i | 0.464784 | − | 0.885424i | \(-0.346132\pi\) |
−0.985715 | + | 0.168425i | \(0.946132\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −1.86955 | − | 5.75388i | −0.138962 | − | 0.427682i | 0.857223 | − | 0.514946i | \(-0.172188\pi\) |
−0.996185 | + | 0.0872632i | \(0.972188\pi\) | |||||||
\(182\) | −0.775477 | − | 2.38667i | −0.0574822 | − | 0.176912i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.66232 | − | 5.04076i | −0.269990 | − | 0.371610i | ||||
\(185\) | −0.0281452 | − | 0.00914494i | −0.00206928 | − | 0.000672350i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.95444 | − | 5.67096i | −0.362305 | − | 0.414702i | ||||
\(188\) | − | 7.02373i | − | 0.512258i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.0608997 | − | 0.0442462i | 0.00441813 | − | 0.00320996i | ||||
\(191\) | −3.63415 | + | 5.00198i | −0.262958 | + | 0.361931i | −0.919997 | − | 0.391926i | \(-0.871809\pi\) |
0.657039 | + | 0.753857i | \(0.271809\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.1611 | + | 4.60121i | −1.01934 | + | 0.331202i | −0.770566 | − | 0.637361i | \(-0.780026\pi\) |
−0.248770 | + | 0.968563i | \(0.580026\pi\) | |||||||
\(194\) | 1.78435 | + | 1.29641i | 0.128109 | + | 0.0930768i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.309017 | + | 0.951057i | −0.0220726 | + | 0.0679326i | ||||
\(197\) | −14.6043 | −1.04051 | −0.520256 | − | 0.854010i | \(-0.674163\pi\) | ||||
−0.520256 | + | 0.854010i | \(0.674163\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.60494 | 0.609988 | 0.304994 | − | 0.952354i | \(-0.401346\pi\) | ||||
0.304994 | + | 0.952354i | \(0.401346\pi\) | |||||||
\(200\) | 1.42249 | − | 4.37796i | 0.100585 | − | 0.309569i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.51381 | + | 1.82639i | 0.176871 | + | 0.128504i | ||||
\(203\) | −1.89835 | + | 0.616811i | −0.133238 | + | 0.0432916i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.61234 | + | 3.59557i | −0.182454 | + | 0.251126i | ||||
\(206\) | −0.465431 | + | 0.338156i | −0.0324281 | + | 0.0235604i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 2.50950i | − | 0.174002i | ||||||
\(209\) | −0.340262 | − | 0.203303i | −0.0235364 | − | 0.0140628i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.60479 | + | 1.49619i | 0.317007 | + | 0.103002i | 0.463199 | − | 0.886255i | \(-0.346702\pi\) |
−0.146192 | + | 0.989256i | \(0.546702\pi\) | |||||||
\(212\) | 6.37232 | + | 8.77075i | 0.437653 | + | 0.602378i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.670632 | − | 2.06399i | −0.0458435 | − | 0.141092i | ||||
\(215\) | 0.291277 | + | 0.896458i | 0.0198649 | + | 0.0611380i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.54368 | + | 2.12469i | 0.104792 | + | 0.144233i | ||||
\(218\) | −13.0437 | − | 4.23816i | −0.883431 | − | 0.287044i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.08064 | − | 0.187234i | 0.140277 | − | 0.0126233i | ||||
\(221\) | − | 5.69778i | − | 0.383274i | ||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −21.7644 | + | 15.8128i | −1.45745 | + | 1.05890i | −0.473433 | + | 0.880830i | \(0.656986\pi\) |
−0.984018 | + | 0.178071i | \(0.943014\pi\) | |||||||
\(224\) | −0.587785 | + | 0.809017i | −0.0392731 | + | 0.0540547i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.0198230 | + | 0.00644088i | −0.00131861 | + | 0.000428441i | ||||
\(227\) | 6.77267 | + | 4.92063i | 0.449518 | + | 0.326594i | 0.789405 | − | 0.613872i | \(-0.210389\pi\) |
−0.339888 | + | 0.940466i | \(0.610389\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.0621325 | − | 0.191224i | 0.00410583 | − | 0.0126365i | −0.948983 | − | 0.315328i | \(-0.897885\pi\) |
0.953088 | + | 0.302692i | \(0.0978853\pi\) | |||||||
\(230\) | 3.92455 | 0.258777 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.99604 | −0.131047 | ||||||||
\(233\) | 2.12554 | − | 6.54175i | 0.139249 | − | 0.428564i | −0.856978 | − | 0.515353i | \(-0.827661\pi\) |
0.996227 | + | 0.0867891i | \(0.0276606\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.57913 | + | 2.60039i | 0.233477 | + | 0.169631i | ||||
\(236\) | 12.8111 | − | 4.16257i | 0.833930 | − | 0.270960i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.33456 | + | 1.83686i | −0.0865067 | + | 0.119066i | ||||
\(239\) | 13.5806 | − | 9.86691i | 0.878459 | − | 0.638238i | −0.0543846 | − | 0.998520i | \(-0.517320\pi\) |
0.932843 | + | 0.360283i | \(0.117320\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 21.3749i | − | 1.37688i | −0.725295 | − | 0.688438i | \(-0.758297\pi\) | ||
0.725295 | − | 0.688438i | \(-0.241703\pi\) | |||||||
\(242\) | −5.21231 | − | 9.68668i | −0.335060 | − | 0.622684i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 3.30272 | + | 1.07312i | 0.211435 | + | 0.0686994i | ||||
\(245\) | −0.370229 | − | 0.509576i | −0.0236531 | − | 0.0325556i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.0926776 | − | 0.285232i | −0.00589694 | − | 0.0181489i | ||||
\(248\) | 0.811560 | + | 2.49773i | 0.0515341 | + | 0.158606i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.55540 | + | 4.89359i | 0.224864 | + | 0.309498i | ||||
\(251\) | −20.6079 | − | 6.69592i | −1.30076 | − | 0.422643i | −0.424915 | − | 0.905233i | \(-0.639696\pi\) |
−0.875846 | + | 0.482590i | \(0.839696\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −8.12160 | − | 19.0021i | −0.510601 | − | 1.19465i | ||||
\(254\) | 8.91870i | 0.559609i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.809017 | + | 0.587785i | −0.0505636 | + | 0.0367366i | ||||
\(257\) | −4.37238 | + | 6.01806i | −0.272742 | + | 0.375397i | −0.923313 | − | 0.384049i | \(-0.874530\pi\) |
0.650571 | + | 0.759445i | \(0.274530\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.0446841 | − | 0.0145188i | 0.00277654 | − | 0.000902152i | ||||
\(260\) | 1.27878 | + | 0.929087i | 0.0793065 | + | 0.0576196i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 2.39891 | − | 7.38308i | 0.148205 | − | 0.456128i | ||||
\(263\) | 1.91211 | 0.117906 | 0.0589528 | − | 0.998261i | \(-0.481224\pi\) | ||||
0.0589528 | + | 0.998261i | \(0.481224\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.82858 | −0.419477 | ||||||||
\(266\) | −0.0369308 | + | 0.113661i | −0.00226437 | + | 0.00696902i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.451500 | − | 0.328034i | −0.0275797 | − | 0.0200378i | ||||
\(269\) | 19.5656 | − | 6.35725i | 1.19294 | − | 0.387608i | 0.355778 | − | 0.934570i | \(-0.384216\pi\) |
0.837157 | + | 0.546962i | \(0.184216\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −6.32019 | + | 8.69900i | −0.383924 | + | 0.528427i | −0.956619 | − | 0.291342i | \(-0.905898\pi\) |
0.572694 | + | 0.819769i | \(0.305898\pi\) | |||||||
\(272\) | −1.83686 | + | 1.33456i | −0.111376 | + | 0.0809196i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.99682i | 0.181044i | ||||||||
\(275\) | 7.83075 | − | 13.1061i | 0.472212 | − | 0.790327i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −24.1343 | − | 7.84171i | −1.45009 | − | 0.471163i | −0.525063 | − | 0.851064i | \(-0.675958\pi\) |
−0.925027 | + | 0.379901i | \(0.875958\pi\) | |||||||
\(278\) | 9.57205 | + | 13.1748i | 0.574093 | + | 0.790171i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.194641 | − | 0.599043i | −0.0116320 | − | 0.0357997i | ||||
\(281\) | −9.48319 | − | 29.1862i | −0.565719 | − | 1.74111i | −0.665804 | − | 0.746127i | \(-0.731911\pi\) |
0.100085 | − | 0.994979i | \(-0.468089\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.535799 | − | 0.737464i | −0.0318500 | − | 0.0438377i | 0.792795 | − | 0.609488i | \(-0.208625\pi\) |
−0.824645 | + | 0.565651i | \(0.808625\pi\) | |||||||
\(284\) | 0.452895 | + | 0.147154i | 0.0268744 | + | 0.00873201i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.85216 | − | 8.11435i | 0.109520 | − | 0.479812i | ||||
\(287\) | − | 7.05601i | − | 0.416503i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 9.58271 | − | 6.96225i | 0.563689 | − | 0.409544i | ||||
\(290\) | 0.738992 | − | 1.01714i | 0.0433951 | − | 0.0597282i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −14.3769 | + | 4.67133i | −0.841342 | + | 0.273369i | ||||
\(293\) | 21.9467 | + | 15.9452i | 1.28214 | + | 0.931529i | 0.999615 | − | 0.0277310i | \(-0.00882817\pi\) |
0.282524 | + | 0.959260i | \(0.408828\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.62188 | + | 8.06932i | −0.152652 | + | 0.469814i | ||||
\(296\) | 0.0469837 | 0.00273087 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.37715 | 0.137705 | ||||||||
\(299\) | 4.83178 | − | 14.8707i | 0.279429 | − | 0.859994i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.21068 | − | 0.879612i | −0.0697825 | − | 0.0507000i | ||||
\(302\) | 14.7269 | − | 4.78505i | 0.847436 | − | 0.275349i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.0702465 | + | 0.0966860i | −0.00402891 | + | 0.00554532i | ||||
\(305\) | −1.76960 | + | 1.28569i | −0.101327 | + | 0.0736183i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 6.64121i | − | 0.379034i | −0.981877 | − | 0.189517i | \(-0.939308\pi\) | ||
0.981877 | − | 0.189517i | \(-0.0606922\pi\) | |||||||
\(308\) | −2.49768 | + | 2.18210i | −0.142319 | + | 0.124337i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.57324 | − | 0.511178i | −0.0893543 | − | 0.0290330i | ||||
\(311\) | 18.7936 | + | 25.8671i | 1.06568 | + | 1.46679i | 0.874370 | + | 0.485260i | \(0.161275\pi\) |
0.191315 | + | 0.981529i | \(0.438725\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.02670 | + | 12.3929i | 0.227603 | + | 0.700489i | 0.998017 | + | 0.0629454i | \(0.0200494\pi\) |
−0.770414 | + | 0.637544i | \(0.779951\pi\) | |||||||
\(314\) | 1.99109 | + | 6.12793i | 0.112363 | + | 0.345819i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.10892 | − | 7.03183i | −0.287399 | − | 0.395571i | ||||
\(317\) | −6.68600 | − | 2.17241i | −0.375523 | − | 0.122015i | 0.115173 | − | 0.993345i | \(-0.463258\pi\) |
−0.490697 | + | 0.871331i | \(0.663258\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.45412 | − | 1.47320i | −0.361361 | − | 0.0824832i | ||||
\(320\) | − | 0.629871i | − | 0.0352109i | ||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −5.04076 | + | 3.66232i | −0.280910 | + | 0.204093i | ||||
\(323\) | −0.159494 | + | 0.219525i | −0.00887448 | + | 0.0122147i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 10.9865 | − | 3.56972i | 0.609420 | − | 0.198013i | ||||
\(326\) | −15.7118 | − | 11.4153i | −0.870196 | − | 0.632235i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.18043 | − | 6.71066i | 0.120394 | − | 0.370534i | ||||
\(329\) | −7.02373 | −0.387231 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.839284 | −0.0461312 | −0.0230656 | − | 0.999734i | \(-0.507343\pi\) | ||||
−0.0230656 | + | 0.999734i | \(0.507343\pi\) | |||||||
\(332\) | 1.75860 | − | 5.41240i | 0.0965155 | − | 0.297044i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −18.9202 | − | 13.7463i | −1.03526 | − | 0.752164i | ||||
\(335\) | 0.334316 | − | 0.108626i | 0.0182656 | − | 0.00593487i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −18.9542 | + | 26.0882i | −1.03250 | + | 1.42112i | −0.129447 | + | 0.991586i | \(0.541320\pi\) |
−0.903053 | + | 0.429529i | \(0.858680\pi\) | |||||||
\(338\) | −5.42238 | + | 3.93959i | −0.294939 | + | 0.214286i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | − | 1.43011i | − | 0.0775589i | ||||||
\(341\) | 0.780677 | + | 8.67528i | 0.0422760 | + | 0.469793i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0.951057 | + | 0.309017i | 0.0513522 | + | 0.0166853i | ||||
\(344\) | −0.879612 | − | 1.21068i | −0.0474255 | − | 0.0652756i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.314176 | − | 0.966934i | −0.0168902 | − | 0.0519827i | ||||
\(347\) | −8.28697 | − | 25.5047i | −0.444868 | − | 1.36916i | −0.882628 | − | 0.470071i | \(-0.844228\pi\) |
0.437761 | − | 0.899092i | \(-0.355772\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.11915 | − | 7.04590i | −0.274022 | − | 0.377159i | 0.649721 | − | 0.760173i | \(-0.274886\pi\) |
−0.923742 | + | 0.383015i | \(0.874886\pi\) | |||||||
\(350\) | −4.37796 | − | 1.42249i | −0.234012 | − | 0.0760351i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −3.04975 | + | 1.30348i | −0.162552 | + | 0.0694756i | ||||
\(353\) | 30.1191i | 1.60308i | 0.597942 | + | 0.801540i | \(0.295985\pi\) | ||||
−0.597942 | + | 0.801540i | \(0.704015\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.242661 | + | 0.176304i | −0.0128791 | + | 0.00935723i | ||||
\(356\) | 6.73818 | − | 9.27431i | 0.357123 | − | 0.491538i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −11.2770 | + | 3.66412i | −0.596008 | + | 0.193655i | ||||
\(359\) | 0.720523 | + | 0.523491i | 0.0380278 | + | 0.0276288i | 0.606637 | − | 0.794979i | \(-0.292518\pi\) |
−0.568609 | + | 0.822608i | \(0.692518\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.86691 | − | 18.0565i | 0.308785 | − | 0.950342i | ||||
\(362\) | −6.04999 | −0.317980 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.50950 | −0.131533 | ||||||||
\(365\) | 2.94233 | − | 9.05557i | 0.154009 | − | 0.473990i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −7.84196 | − | 5.69752i | −0.409347 | − | 0.297408i | 0.363990 | − | 0.931403i | \(-0.381414\pi\) |
−0.773337 | + | 0.633995i | \(0.781414\pi\) | |||||||
\(368\) | −5.92577 | + | 1.92540i | −0.308902 | + | 0.100368i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.0173947 | + | 0.0239418i | −0.000904308 | + | 0.00124467i | ||||
\(371\) | 8.77075 | − | 6.37232i | 0.455355 | − | 0.330835i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 27.4932i | − | 1.42355i | −0.702410 | − | 0.711773i | \(-0.747893\pi\) | ||
0.702410 | − | 0.711773i | \(-0.252107\pi\) | |||||||
\(374\) | −6.92441 | + | 2.95953i | −0.358053 | + | 0.153034i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −6.67997 | − | 2.17045i | −0.344493 | − | 0.111933i | ||||
\(377\) | −2.94425 | − | 4.05241i | −0.151637 | − | 0.208710i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.34368 | + | 7.21309i | 0.120387 | + | 0.370512i | 0.993032 | − | 0.117842i | \(-0.0375976\pi\) |
−0.872646 | + | 0.488354i | \(0.837598\pi\) | |||||||
\(380\) | −0.0232616 | − | 0.0715919i | −0.00119330 | − | 0.00367259i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 3.63415 | + | 5.00198i | 0.185939 | + | 0.255924i | ||||
\(383\) | 13.9907 | + | 4.54586i | 0.714892 | + | 0.232283i | 0.643807 | − | 0.765188i | \(-0.277354\pi\) |
0.0710849 | + | 0.997470i | \(0.477354\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.187234 | − | 2.08064i | −0.00954233 | − | 0.106039i | ||||
\(386\) | 14.8898i | 0.757872i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.78435 | − | 1.29641i | 0.0905869 | − | 0.0658152i | ||||
\(389\) | −7.94704 | + | 10.9382i | −0.402931 | + | 0.554587i | −0.961477 | − | 0.274887i | \(-0.911360\pi\) |
0.558546 | + | 0.829474i | \(0.311360\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −13.4544 | + | 4.37159i | −0.680417 | + | 0.221081i | ||||
\(392\) | 0.809017 | + | 0.587785i | 0.0408615 | + | 0.0296876i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.51297 | + | 13.8895i | −0.227360 | + | 0.699743i | ||||
\(395\) | 5.47472 | 0.275463 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.34572 | −0.117729 | −0.0588643 | − | 0.998266i | \(-0.518748\pi\) | ||||
−0.0588643 | + | 0.998266i | \(0.518748\pi\) | |||||||
\(398\) | 2.65907 | − | 8.18379i | 0.133287 | − | 0.410216i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.72412 | − | 2.70573i | −0.186206 | − | 0.135286i | ||||
\(401\) | −2.28745 | + | 0.743238i | −0.114230 | + | 0.0371156i | −0.365574 | − | 0.930782i | \(-0.619127\pi\) |
0.251344 | + | 0.967898i | \(0.419127\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.87386 | + | 5.33191i | −0.192971 | + | 0.265601i | ||||
\(404\) | 2.51381 | − | 1.82639i | 0.125067 | − | 0.0908664i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.99604i | 0.0990619i | ||||||||
\(407\) | 0.151920 | + | 0.0346768i | 0.00753039 | + | 0.00171886i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 32.5407 | + | 10.5731i | 1.60903 | + | 0.522806i | 0.969319 | − | 0.245807i | \(-0.0790530\pi\) |
0.639714 | + | 0.768613i | \(0.279053\pi\) | |||||||
\(410\) | 2.61234 | + | 3.59557i | 0.129014 | + | 0.177573i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0.177779 | + | 0.547147i | 0.00875854 | + | 0.0269560i | ||||
\(413\) | −4.16257 | − | 12.8111i | −0.204827 | − | 0.630392i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.10695 | + | 2.89997i | 0.103426 | + | 0.142354i | ||||
\(416\) | −2.38667 | − | 0.775477i | −0.117016 | − | 0.0380209i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.298499 | + | 0.260784i | −0.0146001 | + | 0.0127554i | ||||
\(419\) | 16.1713i | 0.790019i | 0.918677 | + | 0.395009i | \(0.129259\pi\) | ||||
−0.918677 | + | 0.395009i | \(0.870741\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −12.6478 | + | 9.18915i | −0.616415 | + | 0.447852i | −0.851668 | − | 0.524082i | \(-0.824408\pi\) |
0.235252 | + | 0.971934i | \(0.424408\pi\) | |||||||
\(422\) | 2.84592 | − | 3.91707i | 0.138537 | − | 0.190680i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 10.3106 | − | 3.35013i | 0.500729 | − | 0.162697i | ||||
\(425\) | −8.45557 | − | 6.14333i | −0.410155 | − | 0.297995i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.07312 | − | 3.30272i | 0.0519319 | − | 0.159830i | ||||
\(428\) | −2.17021 | −0.104901 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.942592 | 0.0454558 | ||||||||
\(431\) | 8.29602 | − | 25.5325i | 0.399605 | − | 1.22986i | −0.525711 | − | 0.850663i | \(-0.676201\pi\) |
0.925317 | − | 0.379195i | \(-0.123799\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −9.68358 | − | 7.03554i | −0.465363 | − | 0.338106i | 0.330268 | − | 0.943887i | \(-0.392861\pi\) |
−0.795632 | + | 0.605781i | \(0.792861\pi\) | |||||||
\(434\) | 2.49773 | − | 0.811560i | 0.119895 | − | 0.0389561i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −8.06145 | + | 11.0956i | −0.386073 | + | 0.531385i | ||||
\(437\) | −0.602423 | + | 0.437686i | −0.0288178 | + | 0.0209374i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 26.0501i | 1.24330i | 0.783293 | + | 0.621652i | \(0.213538\pi\) | ||||
−0.783293 | + | 0.621652i | \(0.786462\pi\) | |||||||
\(440\) | 0.464882 | − | 2.03666i | 0.0221624 | − | 0.0970941i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.41891 | − | 1.76071i | −0.257751 | − | 0.0837485i | ||||
\(443\) | 13.4650 | + | 18.5330i | 0.639742 | + | 0.880530i | 0.998602 | − | 0.0528617i | \(-0.0168342\pi\) |
−0.358859 | + | 0.933392i | \(0.616834\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.23130 | + | 6.86723i | 0.105774 | + | 0.325538i | ||||
\(446\) | 8.31326 | + | 25.5856i | 0.393644 | + | 1.21151i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.587785 | + | 0.809017i | 0.0277702 | + | 0.0382225i | ||||
\(449\) | −18.6126 | − | 6.04759i | −0.878382 | − | 0.285404i | −0.165097 | − | 0.986277i | \(-0.552794\pi\) |
−0.713285 | + | 0.700874i | \(0.752794\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 12.0032 | − | 20.0894i | 0.565208 | − | 0.945972i | ||||
\(452\) | 0.0208431i | 0.000980378i | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 6.77267 | − | 4.92063i | 0.317857 | − | 0.230937i | ||||
\(455\) | 0.929087 | − | 1.27878i | 0.0435563 | − | 0.0599501i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −2.64697 | + | 0.860053i | −0.123820 | + | 0.0402316i | −0.370272 | − | 0.928924i | \(-0.620735\pi\) |
0.246452 | + | 0.969155i | \(0.420735\pi\) | |||||||
\(458\) | −0.162665 | − | 0.118183i | −0.00760084 | − | 0.00552233i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.21275 | − | 3.73247i | 0.0565449 | − | 0.174027i | ||||
\(461\) | −3.16951 | −0.147619 | −0.0738095 | − | 0.997272i | \(-0.523516\pi\) | ||||
−0.0738095 | + | 0.997272i | \(0.523516\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.38147 | 0.250098 | 0.125049 | − | 0.992151i | \(-0.460091\pi\) | ||||
0.125049 | + | 0.992151i | \(0.460091\pi\) | |||||||
\(464\) | −0.616811 | + | 1.89835i | −0.0286347 | + | 0.0881286i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −5.56475 | − | 4.04302i | −0.257782 | − | 0.187289i | ||||
\(467\) | 13.7409 | − | 4.46469i | 0.635853 | − | 0.206601i | 0.0266870 | − | 0.999644i | \(-0.491504\pi\) |
0.609166 | + | 0.793043i | \(0.291504\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.328034 | + | 0.451500i | −0.0151472 | + | 0.0208483i | ||||
\(470\) | 3.57913 | − | 2.60039i | 0.165093 | − | 0.119947i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 13.4704i | − | 0.620024i | ||||||
\(473\) | −1.95063 | − | 4.56390i | −0.0896903 | − | 0.209848i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.523213 | − | 0.170002i | −0.0240066 | − | 0.00780023i | ||||
\(476\) | 1.33456 | + | 1.83686i | 0.0611694 | + | 0.0841925i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −5.18734 | − | 15.9650i | −0.237264 | − | 0.730222i | ||||
\(479\) | 9.75363 | + | 30.0186i | 0.445655 | + | 1.37158i | 0.881764 | + | 0.471690i | \(0.156356\pi\) |
−0.436110 | + | 0.899894i | \(0.643644\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.0693030 | + | 0.0953874i | 0.00315995 | + | 0.00434929i | ||||
\(482\) | −20.3287 | − | 6.60520i | −0.925947 | − | 0.300858i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −10.8233 | + | 1.96385i | −0.491967 | + | 0.0892659i | ||||
\(485\) | 1.38923i | 0.0630818i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −26.5056 | + | 19.2575i | −1.20108 | + | 0.872639i | −0.994391 | − | 0.105766i | \(-0.966270\pi\) |
−0.206694 | + | 0.978406i | \(0.566270\pi\) | |||||||
\(488\) | 2.04119 | − | 2.80946i | 0.0924005 | − | 0.127178i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.599043 | + | 0.194641i | −0.0270620 | + | 0.00879298i | ||||
\(491\) | −17.8538 | − | 12.9715i | −0.805729 | − | 0.585397i | 0.106860 | − | 0.994274i | \(-0.465920\pi\) |
−0.912589 | + | 0.408877i | \(0.865920\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.40046 | + | 4.31018i | −0.0630736 | + | 0.194121i | ||||
\(494\) | −0.299911 | −0.0134936 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.62626 | 0.117923 | ||||||||
\(497\) | 0.147154 | − | 0.452895i | 0.00660078 | − | 0.0203151i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 19.6615 | + | 14.2849i | 0.880168 | + | 0.639480i | 0.933296 | − | 0.359108i | \(-0.116919\pi\) |
−0.0531278 | + | 0.998588i | \(0.516919\pi\) | |||||||
\(500\) | 5.75277 | − | 1.86919i | 0.257271 | − | 0.0835926i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −12.7364 | + | 17.5302i | −0.568454 | + | 0.782409i | ||||
\(503\) | 9.94247 | − | 7.22363i | 0.443313 | − | 0.322086i | −0.343637 | − | 0.939103i | \(-0.611659\pi\) |
0.786950 | + | 0.617017i | \(0.211659\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.95716i | 0.0870925i | ||||||||
\(506\) | −20.5818 | + | 1.85213i | −0.914972 | + | 0.0823372i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 8.48218 | + | 2.75603i | 0.376336 | + | 0.122279i | ||||
\(509\) | −9.98221 | − | 13.7393i | −0.442453 | − | 0.608985i | 0.528302 | − | 0.849057i | \(-0.322829\pi\) |
−0.970755 | + | 0.240072i | \(0.922829\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.67133 | + | 14.3769i | 0.206647 | + | 0.635995i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 4.37238 | + | 6.01806i | 0.192857 | + | 0.265445i | ||||
\(515\) | −0.344632 | − | 0.111978i | −0.0151863 | − | 0.00493433i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −19.9975 | − | 11.9483i | −0.879489 | − | 0.525485i | ||||
\(518\) | − | 0.0469837i | − | 0.00206434i | ||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.27878 | − | 0.929087i | 0.0560782 | − | 0.0407432i | ||||
\(521\) | −0.0231379 | + | 0.0318466i | −0.00101369 | + | 0.00139523i | −0.809524 | − | 0.587087i | \(-0.800274\pi\) |
0.808510 | + | 0.588483i | \(0.200274\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 26.7680 | − | 8.69746i | 1.17048 | − | 0.380313i | 0.341660 | − | 0.939823i | \(-0.389011\pi\) |
0.828823 | + | 0.559510i | \(0.189011\pi\) | |||||||
\(524\) | −6.28042 | − | 4.56299i | −0.274362 | − | 0.199335i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.590874 | − | 1.81852i | 0.0257633 | − | 0.0792913i | ||||
\(527\) | 5.96290 | 0.259748 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −15.8218 | −0.687906 | ||||||||
\(530\) | −2.11015 | + | 6.49437i | −0.0916590 | + | 0.282097i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.0966860 | + | 0.0702465i | 0.00419187 | + | 0.00304557i | ||||
\(533\) | 16.8404 | − | 5.47177i | 0.729437 | − | 0.237009i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.803475 | − | 1.10589i | 0.0347372 | − | 0.0478117i | ||||
\(536\) | −0.451500 | + | 0.328034i | −0.0195018 | + | 0.0141689i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 20.5725i | − | 0.886943i | ||||||
\(539\) | 2.18210 | + | 2.49768i | 0.0939899 | + | 0.107583i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 39.5989 | + | 12.8665i | 1.70249 | + | 0.553172i | 0.989054 | − | 0.147551i | \(-0.0471390\pi\) |
0.713434 | + | 0.700723i | \(0.247139\pi\) | |||||||
\(542\) | 6.32019 | + | 8.69900i | 0.271476 | + | 0.373654i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.701620 | + | 2.15936i | 0.0300817 | + | 0.0925819i | ||||
\(545\) | −2.66949 | − | 8.21585i | −0.114348 | − | 0.351928i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.98466 | + | 10.9899i | 0.341399 | + | 0.469896i | 0.944850 | − | 0.327505i | \(-0.106208\pi\) |
−0.603450 | + | 0.797401i | \(0.706208\pi\) | |||||||
\(548\) | 2.85014 | + | 0.926068i | 0.121752 | + | 0.0395597i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −10.0448 | − | 11.4975i | −0.428312 | − | 0.490255i | ||||
\(551\) | 0.238548i | 0.0101625i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.03183 | + | 5.10892i | −0.299024 | + | 0.217253i | ||||
\(554\) | −14.9158 | + | 20.5299i | −0.633713 | + | 0.872231i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 15.4879 | − | 5.03232i | 0.656833 | − | 0.213418i | ||||
\(557\) | 7.62925 | + | 5.54297i | 0.323262 | + | 0.234863i | 0.737566 | − | 0.675275i | \(-0.235975\pi\) |
−0.414304 | + | 0.910138i | \(0.635975\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.16049 | − | 3.57162i | 0.0490835 | − | 0.151063i | ||||
\(560\) | −0.629871 | −0.0266169 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −30.6882 | −1.29451 | ||||||||
\(563\) | −1.50504 | + | 4.63202i | −0.0634297 | + | 0.195216i | −0.977749 | − | 0.209777i | \(-0.932726\pi\) |
0.914320 | + | 0.404993i | \(0.132726\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.0106212 | − | 0.00771672i | −0.000446835 | − | 0.000324645i | ||||
\(566\) | −0.866941 | + | 0.281686i | −0.0364403 | + | 0.0118402i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.279904 | − | 0.385255i | 0.0117445 | − | 0.0161650i | ||||
\(569\) | 12.4572 | − | 9.05067i | 0.522232 | − | 0.379424i | −0.295212 | − | 0.955432i | \(-0.595390\pi\) |
0.817444 | + | 0.576008i | \(0.195390\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 6.05643i | − | 0.253454i | −0.991938 | − | 0.126727i | \(-0.959553\pi\) | ||
0.991938 | − | 0.126727i | \(-0.0404472\pi\) | |||||||
\(572\) | −7.14486 | − | 4.26898i | −0.298742 | − | 0.178495i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −6.71066 | − | 2.18043i | −0.280098 | − | 0.0910092i | ||||
\(575\) | −16.8586 | − | 23.2039i | −0.703054 | − | 0.967671i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.01317 | − | 9.27358i | −0.125440 | − | 0.386064i | 0.868541 | − | 0.495617i | \(-0.165058\pi\) |
−0.993981 | + | 0.109553i | \(0.965058\pi\) | |||||||
\(578\) | −3.66027 | − | 11.2652i | −0.152247 | − | 0.468569i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.738992 | − | 1.01714i | −0.0306850 | − | 0.0422342i | ||||
\(581\) | −5.41240 | − | 1.75860i | −0.224544 | − | 0.0729589i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 35.8116 | − | 3.22264i | 1.48317 | − | 0.133468i | ||||
\(584\) | 15.1167i | 0.625535i | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 21.9467 | − | 15.9452i | 0.906610 | − | 0.658691i | ||||
\(587\) | −7.16460 | + | 9.86123i | −0.295715 | + | 0.407016i | −0.930860 | − | 0.365376i | \(-0.880940\pi\) |
0.635145 | + | 0.772393i | \(0.280940\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.298504 | − | 0.0969900i | 0.0122997 | − | 0.00399640i | ||||
\(590\) | 6.86418 | + | 4.98712i | 0.282594 | + | 0.205316i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.0145188 | − | 0.0446841i | 0.000596717 | − | 0.00183651i | ||||
\(593\) | −3.24966 | −0.133448 | −0.0667238 | − | 0.997771i | \(-0.521255\pi\) | ||||
−0.0667238 | + | 0.997771i | \(0.521255\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.43011 | −0.0586290 | ||||||||
\(596\) | 0.734580 | − | 2.26081i | 0.0300896 | − | 0.0926062i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −12.6498 | − | 9.19059i | −0.517287 | − | 0.375831i | ||||
\(599\) | 3.78373 | − | 1.22941i | 0.154599 | − | 0.0502323i | −0.230695 | − | 0.973026i | \(-0.574100\pi\) |
0.385294 | + | 0.922794i | \(0.374100\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.60161 | − | 9.08634i | 0.269285 | − | 0.370639i | −0.652863 | − | 0.757476i | \(-0.726432\pi\) |
0.922148 | + | 0.386837i | \(0.126432\pi\) | |||||||
\(602\) | −1.21068 | + | 0.879612i | −0.0493437 | + | 0.0358503i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | − | 15.4847i | − | 0.630065i | ||||||
\(605\) | 3.00636 | − | 6.24236i | 0.122226 | − | 0.253788i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 40.5857 | + | 13.1871i | 1.64732 | + | 0.535247i | 0.978157 | − | 0.207868i | \(-0.0666523\pi\) |
0.669164 | + | 0.743115i | \(0.266652\pi\) | |||||||
\(608\) | 0.0702465 | + | 0.0966860i | 0.00284887 | + | 0.00392114i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.675927 | + | 2.08029i | 0.0273675 | + | 0.0842284i | ||||
\(611\) | −5.44674 | − | 16.7633i | −0.220352 | − | 0.678173i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 21.2156 | + | 29.2007i | 0.856889 | + | 1.17941i | 0.982302 | + | 0.187302i | \(0.0599743\pi\) |
−0.125413 | + | 0.992105i | \(0.540026\pi\) | |||||||
\(614\) | −6.31616 | − | 2.05225i | −0.254900 | − | 0.0828219i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.30348 | + | 3.04975i | 0.0525186 | + | 0.122878i | ||||
\(617\) | − | 1.92267i | − | 0.0774037i | −0.999251 | − | 0.0387019i | \(-0.987678\pi\) | ||
0.999251 | − | 0.0387019i | \(-0.0123223\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −5.70941 | + | 4.14813i | −0.229481 | + | 0.166728i | −0.696584 | − | 0.717475i | \(-0.745298\pi\) |
0.467103 | + | 0.884203i | \(0.345298\pi\) | |||||||
\(620\) | −0.972319 | + | 1.33828i | −0.0390493 | + | 0.0537467i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 30.4086 | − | 9.88035i | 1.21927 | − | 0.396166i | ||||
\(623\) | −9.27431 | − | 6.73818i | −0.371567 | − | 0.269960i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 5.93509 | − | 18.2663i | 0.237403 | − | 0.730653i | ||||
\(626\) | 13.0307 | 0.520811 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 6.44329 | 0.257115 | ||||||||
\(629\) | 0.0329647 | − | 0.101455i | 0.00131439 | − | 0.00404527i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 28.7824 | + | 20.9116i | 1.14581 | + | 0.832479i | 0.987918 | − | 0.154977i | \(-0.0495304\pi\) |
0.157892 | + | 0.987456i | \(0.449530\pi\) | |||||||
\(632\) | −8.26641 | + | 2.68592i | −0.328820 | + | 0.106840i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −4.13218 | + | 5.68745i | −0.164110 | + | 0.225878i | ||||
\(635\) | −4.54476 | + | 3.30196i | −0.180353 | + | 0.131034i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.50950i | 0.0994298i | ||||||||
\(638\) | −3.39553 | + | 5.68299i | −0.134430 | + | 0.224992i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.599043 | − | 0.194641i | −0.0236792 | − | 0.00769385i | ||||
\(641\) | 10.5688 | + | 14.5467i | 0.417443 | + | 0.574561i | 0.965014 | − | 0.262198i | \(-0.0844475\pi\) |
−0.547571 | + | 0.836759i | \(0.684447\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 15.0786 | + | 46.4072i | 0.594643 | + | 1.83012i | 0.556497 | + | 0.830850i | \(0.312145\pi\) |
0.0381457 | + | 0.999272i | \(0.487855\pi\) | |||||||
\(644\) | 1.92540 | + | 5.92577i | 0.0758713 | + | 0.233508i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.159494 | + | 0.219525i | 0.00627520 | + | 0.00863708i | ||||
\(647\) | 13.6512 | + | 4.43555i | 0.536685 | + | 0.174379i | 0.564804 | − | 0.825225i | \(-0.308952\pi\) |
−0.0281193 | + | 0.999605i | \(0.508952\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 9.94193 | − | 43.5559i | 0.390255 | − | 1.70972i | ||||
\(650\) | − | 11.5519i | − | 0.453101i | ||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −15.7118 | + | 11.4153i | −0.615322 | + | 0.447057i | ||||
\(653\) | −19.8747 | + | 27.3552i | −0.777759 | + | 1.07049i | 0.217767 | + | 0.976001i | \(0.430123\pi\) |
−0.995526 | + | 0.0944925i | \(0.969877\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 4.65039 | − | 1.51100i | 0.181706 | − | 0.0590397i | ||||
\(656\) | −5.70843 | − | 4.14742i | −0.222877 | − | 0.161929i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.17045 | + | 6.67997i | −0.0846131 | + | 0.260412i | ||||
\(659\) | 5.40624 | 0.210597 | 0.105299 | − | 0.994441i | \(-0.466420\pi\) | ||||
0.105299 | + | 0.994441i | \(0.466420\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 32.7593 | 1.27419 | 0.637094 | − | 0.770786i | \(-0.280136\pi\) | ||||
0.637094 | + | 0.770786i | \(0.280136\pi\) | |||||||
\(662\) | −0.259353 | + | 0.798206i | −0.0100800 | + | 0.0310232i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.60406 | − | 3.34505i | −0.178672 | − | 0.129813i | ||||
\(665\) | −0.0715919 | + | 0.0232616i | −0.00277622 | + | 0.000902047i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −7.31015 | + | 10.0616i | −0.283050 | + | 0.389585i | ||||
\(668\) | −18.9202 | + | 13.7463i | −0.732043 | + | 0.531860i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | − | 0.351521i | − | 0.0135804i | ||||||
\(671\) | 8.67367 | − | 7.57777i | 0.334843 | − | 0.292536i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 31.5866 | + | 10.2631i | 1.21757 | + | 0.395614i | 0.846198 | − | 0.532868i | \(-0.178886\pi\) |
0.371376 | + | 0.928482i | \(0.378886\pi\) | |||||||
\(674\) | 18.9542 | + | 26.0882i | 0.730088 | + | 1.00488i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 2.07117 | + | 6.37439i | 0.0796602 | + | 0.245169i | ||||
\(677\) | −2.36161 | − | 7.26828i | −0.0907640 | − | 0.279343i | 0.895363 | − | 0.445338i | \(-0.146916\pi\) |
−0.986127 | + | 0.165995i | \(0.946916\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.29641 | − | 1.78435i | −0.0497516 | − | 0.0684773i | ||||
\(680\) | −1.36012 | − | 0.441930i | −0.0521582 | − | 0.0169472i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 8.49192 | + | 1.93834i | 0.325172 | + | 0.0742229i | ||||
\(683\) | 40.5429i | 1.55133i | 0.631145 | + | 0.775665i | \(0.282585\pi\) | ||||
−0.631145 | + | 0.775665i | \(0.717415\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.52711 | + | 1.10951i | −0.0583478 | + | 0.0423921i | ||||
\(686\) | 0.587785 | − | 0.809017i | 0.0224417 | − | 0.0308884i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1.42324 | + | 0.462439i | −0.0542606 | + | 0.0176303i | ||||
\(689\) | 22.0102 | + | 15.9913i | 0.838520 | + | 0.609221i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 3.82850 | − | 11.7829i | 0.145643 | − | 0.448243i | −0.851450 | − | 0.524435i | \(-0.824276\pi\) |
0.997093 | + | 0.0761928i | \(0.0242764\pi\) | |||||||
\(692\) | −1.01669 | −0.0386489 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −26.8172 | −1.01797 | ||||||||
\(695\) | −3.16971 | + | 9.75537i | −0.120234 | + | 0.370042i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −12.9609 | − | 9.41666i | −0.490930 | − | 0.356681i | ||||
\(698\) | −8.28296 | + | 2.69130i | −0.313515 | + | 0.101867i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.70573 | + | 3.72412i | −0.102267 | + | 0.140758i | ||||
\(701\) | −27.3419 | + | 19.8651i | −1.03269 | + | 0.750294i | −0.968846 | − | 0.247666i | \(-0.920337\pi\) |
−0.0638456 | + | 0.997960i | \(0.520337\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 0.00561505i | − | 0.000211775i | ||||||
\(704\) | 0.297258 | + | 3.30328i | 0.0112033 | + | 0.124497i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 28.6450 | + | 9.30732i | 1.07807 | + | 0.350286i | ||||
\(707\) | −1.82639 | − | 2.51381i | −0.0686885 | − | 0.0945416i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.26075 | + | 3.88020i | 0.0473486 | + | 0.145724i | 0.971936 | − | 0.235247i | \(-0.0755898\pi\) |
−0.924587 | + | 0.380971i | \(0.875590\pi\) | |||||||
\(710\) | 0.0926883 | + | 0.285265i | 0.00347853 | + | 0.0107058i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −6.73818 | − | 9.27431i | −0.252524 | − | 0.347570i | ||||
\(713\) | 15.5626 | + | 5.05660i | 0.582825 | + | 0.189371i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.82060 | − | 2.06035i | 0.180280 | − | 0.0770528i | ||||
\(716\) | 11.8573i | 0.443130i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.720523 | − | 0.523491i | 0.0268897 | − | 0.0195365i | ||||
\(719\) | −15.5031 | + | 21.3382i | −0.578167 | + | 0.795779i | −0.993493 | − | 0.113894i | \(-0.963668\pi\) |
0.415325 | + | 0.909673i | \(0.363668\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.547147 | − | 0.177779i | 0.0203768 | − | 0.00662083i | ||||
\(722\) | −15.3598 | − | 11.1595i | −0.571631 | − | 0.415315i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.86955 | + | 5.75388i | −0.0694812 | + | 0.213841i | ||||
\(725\) | −9.18830 | −0.341245 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −14.4864 | −0.537272 | −0.268636 | − | 0.963242i | \(-0.586573\pi\) | ||||
−0.268636 | + | 0.963242i | \(0.586573\pi\) | |||||||
\(728\) | −0.775477 | + | 2.38667i | −0.0287411 | + | 0.0884559i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −7.70313 | − | 5.59665i | −0.285105 | − | 0.207141i | ||||
\(731\) | −3.23145 | + | 1.04996i | −0.119520 | + | 0.0388343i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 5.35440 | − | 7.36969i | 0.197769 | − | 0.272206i | −0.698602 | − | 0.715511i | \(-0.746194\pi\) |
0.896371 | + | 0.443305i | \(0.146194\pi\) | |||||||
\(734\) | −7.84196 | + | 5.69752i | −0.289452 | + | 0.210299i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.23072i | 0.229667i | ||||||||
\(737\) | −1.70201 | + | 0.727450i | −0.0626945 | + | 0.0267960i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 31.4635 | + | 10.2231i | 1.15740 | + | 0.376063i | 0.823927 | − | 0.566695i | \(-0.191778\pi\) |
0.333476 | + | 0.942759i | \(0.391778\pi\) | |||||||
\(740\) | 0.0173947 | + | 0.0239418i | 0.000639443 | + | 0.000880117i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3.35013 | − | 10.3106i | −0.122987 | − | 0.378515i | ||||
\(743\) | −6.43639 | − | 19.8092i | −0.236128 | − | 0.726729i | −0.996970 | − | 0.0777905i | \(-0.975213\pi\) |
0.760841 | − | 0.648938i | \(-0.224787\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.880090 | + | 1.21134i | 0.0322440 | + | 0.0443801i | ||||
\(746\) | −26.1476 | − | 8.49587i | −0.957332 | − | 0.311056i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.674920 | + | 7.50005i | 0.0246775 | + | 0.274229i | ||||
\(749\) | 2.17021i | 0.0792978i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −32.8228 | + | 23.8472i | −1.19772 | + | 0.870195i | −0.994059 | − | 0.108846i | \(-0.965284\pi\) |
−0.203662 | + | 0.979041i | \(0.565284\pi\) | |||||||
\(752\) | −4.12845 | + | 5.68232i | −0.150549 | + | 0.207213i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −4.76390 | + | 1.54788i | −0.173491 | + | 0.0563706i | ||||
\(755\) | 7.89066 | + | 5.73290i | 0.287170 | + | 0.208642i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 16.6217 | − | 51.1564i | 0.604126 | − | 1.85931i | 0.101437 | − | 0.994842i | \(-0.467656\pi\) |
0.502689 | − | 0.864467i | \(-0.332344\pi\) | |||||||
\(758\) | 7.58429 | 0.275474 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.0752762 | −0.00273055 | ||||||||
\(761\) | 9.47802 | − | 29.1703i | 0.343578 | − | 1.05742i | −0.618763 | − | 0.785578i | \(-0.712366\pi\) |
0.962341 | − | 0.271846i | \(-0.0876342\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 11.0956 | + | 8.06145i | 0.401689 | + | 0.291844i | ||||
\(764\) | 5.88018 | − | 1.91059i | 0.212737 | − | 0.0691226i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 8.64674 | − | 11.9012i | 0.312419 | − | 0.430008i | ||||
\(767\) | 27.3479 | − | 19.8694i | 0.987474 | − | 0.717442i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 51.3621i | 1.85216i | 0.377322 | + | 0.926082i | \(0.376845\pi\) | ||||
−0.377322 | + | 0.926082i | \(0.623155\pi\) | |||||||
\(770\) | −2.03666 | − | 0.464882i | −0.0733962 | − | 0.0167532i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 14.1611 | + | 4.60121i | 0.509668 | + | 0.165601i | ||||
\(773\) | 13.1210 | + | 18.0594i | 0.471928 | + | 0.649553i | 0.976929 | − | 0.213566i | \(-0.0685078\pi\) |
−0.505001 | + | 0.863119i | \(0.668508\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 3.73582 | + | 11.4977i | 0.134195 | + | 0.413009i | ||||
\(776\) | −0.681563 | − | 2.09763i | −0.0244667 | − | 0.0753007i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 7.94704 | + | 10.9382i | 0.284915 | + | 0.392152i | ||||
\(779\) | −0.801994 | − | 0.260584i | −0.0287344 | − | 0.00933638i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.18940 | − | 1.03912i | 0.0425601 | − | 0.0371827i | ||||
\(782\) | 14.1468i | 0.505888i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0.809017 | − | 0.587785i | 0.0288935 | − | 0.0209923i | ||||
\(785\) | −2.38549 | + | 3.28335i | −0.0851418 | + | 0.117188i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −18.4577 | + | 5.99728i | −0.657947 | + | 0.213780i | −0.618915 | − | 0.785458i | \(-0.712427\pi\) |
−0.0390319 | + | 0.999238i | \(0.512427\pi\) | |||||||
\(788\) | 11.8151 | + | 8.58418i | 0.420896 | + | 0.305799i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 1.69178 | − | 5.20677i | 0.0601909 | − | 0.185249i | ||||
\(791\) | 0.0208431 | 0.000741096 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 8.71469 | 0.309468 | ||||||||
\(794\) | −0.724869 | + | 2.23092i | −0.0257246 | + | 0.0791723i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −6.96154 | − | 5.05786i | −0.246745 | − | 0.179271i | ||||
\(797\) | −37.2675 | + | 12.1089i | −1.32008 | + | 0.428921i | −0.882523 | − | 0.470269i | \(-0.844157\pi\) |
−0.437559 | + | 0.899190i | \(0.644157\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −9.37359 | + | 12.9016i | −0.331614 | + | 0.456427i | ||||
\(800\) | −3.72412 | + | 2.70573i | −0.131667 | + | 0.0956620i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 2.40517i | 0.0849295i | ||||||||
\(803\) | −11.1570 | + | 48.8793i | −0.393724 | + | 1.72491i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −3.73247 | − | 1.21275i | −0.131552 | − | 0.0427439i | ||||
\(806\) | 3.87386 | + | 5.33191i | 0.136451 | + | 0.187808i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −0.960191 | − | 2.95516i | −0.0337794 | − | 0.103962i | ||||
\(809\) | 2.18407 | + | 6.72187i | 0.0767877 | + | 0.236328i | 0.982081 | − | 0.188458i | \(-0.0603491\pi\) |
−0.905293 | + | 0.424787i | \(0.860349\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 9.03625 | + | 12.4373i | 0.317306 | + | 0.436734i | 0.937642 | − | 0.347602i | \(-0.113004\pi\) |
−0.620337 | + | 0.784336i | \(0.713004\pi\) | |||||||
\(812\) | 1.89835 | + | 0.616811i | 0.0666189 | + | 0.0216458i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.0799254 | − | 0.133769i | 0.00280138 | − | 0.00468859i | ||||
\(815\) | − | 12.2326i | − | 0.428490i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.144689 | + | 0.105123i | −0.00506203 | + | 0.00367778i | ||||
\(818\) | 20.1112 | − | 27.6807i | 0.703173 | − | 0.967834i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.22685 | − | 1.37339i | 0.147608 | − | 0.0479607i | ||||
\(821\) | 9.82416 | + | 7.13767i | 0.342866 | + | 0.249106i | 0.745870 | − | 0.666092i | \(-0.232034\pi\) |
−0.403004 | + | 0.915198i | \(0.632034\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5.62802 | + | 17.3213i | −0.196180 | + | 0.603781i | 0.803780 | + | 0.594926i | \(0.202819\pi\) |
−0.999961 | + | 0.00885504i | \(0.997181\pi\) | |||||||
\(824\) | 0.575305 | 0.0200417 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −13.4704 | −0.468694 | ||||||||
\(827\) | 9.09953 | − | 28.0055i | 0.316422 | − | 0.973846i | −0.658744 | − | 0.752368i | \(-0.728912\pi\) |
0.975165 | − | 0.221478i | \(-0.0710882\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 32.8469 | + | 23.8647i | 1.14082 | + | 0.828854i | 0.987233 | − | 0.159282i | \(-0.0509178\pi\) |
0.153586 | + | 0.988135i | \(0.450918\pi\) | |||||||
\(830\) | 3.40911 | − | 1.10769i | 0.118332 | − | 0.0384484i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −1.47504 | + | 2.03022i | −0.0511380 | + | 0.0703854i | ||||
\(833\) | 1.83686 | − | 1.33456i | 0.0636436 | − | 0.0462398i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 14.7305i | − | 0.509771i | ||||||
\(836\) | 0.155779 | + | 0.364477i | 0.00538774 | + | 0.0126057i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 15.3798 | + | 4.99720i | 0.531286 | + | 0.172625i | ||||
\(839\) | 20.7992 | + | 28.6276i | 0.718068 | + | 0.988336i | 0.999586 | + | 0.0287798i | \(0.00916217\pi\) |
−0.281518 | + | 0.959556i | \(0.590838\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −7.73031 | − | 23.7915i | −0.266563 | − | 0.820395i | ||||
\(842\) | 4.83102 | + | 14.8684i | 0.166488 | + | 0.512398i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −2.84592 | − | 3.91707i | −0.0979604 | − | 0.134831i | ||||
\(845\) | −4.01504 | − | 1.30457i | −0.138122 | − | 0.0448785i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.96385 | + | 10.8233i | 0.0674787 | + | 0.371892i | ||||
\(848\) | − | 10.8412i | − | 0.372290i | ||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −8.45557 | + | 6.14333i | −0.290024 | + | 0.210714i | ||||
\(851\) | 0.172070 | − | 0.236833i | 0.00589847 | − | 0.00811854i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −13.3234 | + | 4.32904i | −0.456185 | + | 0.148223i | −0.528091 | − | 0.849188i | \(-0.677092\pi\) |
0.0719058 | + | 0.997411i | \(0.477092\pi\) | |||||||
\(854\) | −2.80946 | − | 2.04119i | −0.0961378 | − | 0.0698482i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −0.670632 | + | 2.06399i | −0.0229217 | + | 0.0705458i | ||||
\(857\) | −55.7802 | −1.90541 | −0.952707 | − | 0.303890i | \(-0.901714\pi\) | ||||
−0.952707 | + | 0.303890i | \(0.901714\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 18.4377 | 0.629086 | 0.314543 | − | 0.949243i | \(-0.398149\pi\) | ||||
0.314543 | + | 0.949243i | \(0.398149\pi\) | |||||||
\(860\) | 0.291277 | − | 0.896458i | 0.00993246 | − | 0.0305690i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −21.7193 | − | 15.7800i | −0.739761 | − | 0.537468i | ||||
\(863\) | 9.67335 | − | 3.14306i | 0.329285 | − | 0.106991i | −0.139709 | − | 0.990193i | \(-0.544617\pi\) |
0.468994 | + | 0.883202i | \(0.344617\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.376410 | − | 0.518084i | 0.0127983 | − | 0.0176154i | ||||
\(866\) | −9.68358 | + | 7.03554i | −0.329062 | + | 0.239077i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | − | 2.62626i | − | 0.0891412i | ||||||
\(869\) | −28.7115 | + | 2.58371i | −0.973970 | + | 0.0876464i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.33196 | − | 0.432781i | −0.0451319 | − | 0.0146642i | ||||
\(872\) | 8.06145 | + | 11.0956i | 0.272995 | + | 0.375746i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.230105 | + | 0.708191i | 0.00778343 | + | 0.0239549i | ||||
\(875\) | −1.86919 | − | 5.75277i | −0.0631900 | − | 0.194479i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 2.67990 | + | 3.68857i | 0.0904939 | + | 0.124554i | 0.851863 | − | 0.523764i | \(-0.175473\pi\) |
−0.761369 | + | 0.648318i | \(0.775473\pi\) | |||||||
\(878\) | 24.7751 | + | 8.04993i | 0.836120 | + | 0.271672i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1.79332 | − | 1.07149i | −0.0604530 | − | 0.0361200i | ||||
\(881\) | 40.6879i | 1.37081i | 0.728161 | + | 0.685406i | \(0.240375\pi\) | ||||
−0.728161 | + | 0.685406i | \(0.759625\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 25.7718 | − | 18.7243i | 0.867291 | − | 0.630124i | −0.0625679 | − | 0.998041i | \(-0.519929\pi\) |
0.929859 | + | 0.367917i | \(0.119929\pi\) | |||||||
\(884\) | −3.34907 | + | 4.60960i | −0.112641 | + | 0.155038i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 21.7869 | − | 7.07898i | 0.731944 | − | 0.237823i | ||||
\(887\) | 11.5175 | + | 8.36796i | 0.386720 | + | 0.280969i | 0.764110 | − | 0.645086i | \(-0.223178\pi\) |
−0.377390 | + | 0.926054i | \(0.623178\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.75603 | − | 8.48218i | 0.0924342 | − | 0.284483i | ||||
\(890\) | 7.22064 | 0.242036 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 26.9023 | 0.900754 | ||||||||
\(893\) | −0.259392 | + | 0.798326i | −0.00868022 | + | 0.0267150i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −6.04222 | − | 4.38993i | −0.201969 | − | 0.146739i | ||||
\(896\) | 0.951057 | − | 0.309017i | 0.0317726 | − | 0.0103235i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −11.5032 | + | 15.8328i | −0.383867 | + | 0.528347i | ||||
\(899\) | 4.24097 | − | 3.08125i | 0.141444 | − | 0.102765i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 24.6149i | − | 0.820042i | ||||||
\(902\) | −15.3969 | − | 17.6237i | −0.512662 | − | 0.586804i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0.0198230 | + | 0.00644088i | 0.000659303 | + | 0.000214220i | ||||
\(905\) | −2.23988 | − | 3.08293i | −0.0744561 | − | 0.102480i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 3.15693 | + | 9.71602i | 0.104824 | + | 0.322615i | 0.989689 | − | 0.143232i | \(-0.0457496\pi\) |
−0.884865 | + | 0.465847i | \(0.845750\pi\) | |||||||
\(908\) | −2.58693 | − | 7.96175i | −0.0858503 | − | 0.264220i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.929087 | − | 1.27878i | −0.0307990 | − | 0.0423911i | ||||
\(911\) | 12.0133 | + | 3.90337i | 0.398020 | + | 0.129324i | 0.501186 | − | 0.865340i | \(-0.332897\pi\) |
−0.103166 | + | 0.994664i | \(0.532897\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −12.4182 | − | 14.2142i | −0.410983 | − | 0.470420i | ||||
\(914\) | 2.78319i | 0.0920597i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.162665 | + | 0.118183i | −0.00537460 | + | 0.00390488i | ||||
\(917\) | −4.56299 | + | 6.28042i | −0.150683 | + | 0.207398i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 25.8842 | − | 8.41028i | 0.853840 | − | 0.277429i | 0.150786 | − | 0.988566i | \(-0.451819\pi\) |
0.703054 | + | 0.711137i | \(0.251819\pi\) | |||||||
\(920\) | −3.17503 | − | 2.30679i | −0.104678 | − | 0.0760527i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.979434 | + | 3.01439i | −0.0322559 | + | 0.0992736i | ||||
\(923\) | 1.19503 | 0.0393348 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.216278 | 0.00711119 | ||||||||
\(926\) | 1.66297 | − | 5.11808i | 0.0546484 | − | 0.168191i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.61483 | + | 1.17324i | 0.0530094 | + | 0.0385136i | ||||
\(929\) | 24.1582 | − | 7.84947i | 0.792605 | − | 0.257533i | 0.115392 | − | 0.993320i | \(-0.463188\pi\) |
0.677213 | + | 0.735787i | \(0.263188\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.0702465 | − | 0.0966860i | 0.00230224 | − | 0.00316876i | ||||
\(932\) | −5.56475 | + | 4.04302i | −0.182279 | + | 0.132434i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 14.4480i | − | 0.472754i | ||||||
\(935\) | −4.07172 | − | 2.43281i | −0.133160 | − | 0.0795615i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −31.7625 | − | 10.3203i | −1.03764 | − | 0.337149i | −0.259832 | − | 0.965654i | \(-0.583667\pi\) |
−0.777805 | + | 0.628505i | \(0.783667\pi\) | |||||||
\(938\) | 0.328034 | + | 0.451500i | 0.0107107 | + | 0.0147420i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1.36711 | − | 4.20752i | −0.0445901 | − | 0.137234i | ||||
\(941\) | −1.56108 | − | 4.80451i | −0.0508898 | − | 0.156623i | 0.922382 | − | 0.386279i | \(-0.126240\pi\) |
−0.973272 | + | 0.229656i | \(0.926240\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −25.8414 | − | 35.5676i | −0.841511 | − | 1.15824i | ||||
\(944\) | −12.8111 | − | 4.16257i | −0.416965 | − | 0.135480i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.94330 | + | 0.444842i | −0.160721 | + | 0.0144631i | ||||
\(947\) | − | 27.4330i | − | 0.891454i | −0.895169 | − | 0.445727i | \(-0.852945\pi\) | ||
0.895169 | − | 0.445727i | \(-0.147055\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −30.6904 | + | 22.2978i | −0.996251 | + | 0.723819i | ||||
\(950\) | −0.323363 | + | 0.445071i | −0.0104913 | + | 0.0144400i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 2.15936 | − | 0.701620i | 0.0699854 | − | 0.0227396i | ||||
\(953\) | 16.7567 | + | 12.1745i | 0.542803 | + | 0.394370i | 0.825125 | − | 0.564950i | \(-0.191105\pi\) |
−0.282322 | + | 0.959320i | \(0.591105\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1.20342 | + | 3.70375i | −0.0389418 | + | 0.119851i | ||||
\(956\) | −16.7866 | −0.542917 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 31.5634 | 1.01977 | ||||||||
\(959\) | 0.926068 | − | 2.85014i | 0.0299043 | − | 0.0920359i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 19.4995 | + | 14.1672i | 0.629017 | + | 0.457008i | ||||
\(962\) | 0.112135 | − | 0.0364348i | 0.00361537 | − | 0.00117470i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −12.5638 | + | 17.2926i | −0.404654 | + | 0.556958i | ||||
\(965\) | −7.58750 | + | 5.51264i | −0.244250 | + | 0.177458i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 17.5452i | 0.564217i | 0.959382 | + | 0.282109i | \(0.0910338\pi\) | ||||
−0.959382 | + | 0.282109i | \(0.908966\pi\) | |||||||
\(968\) | −1.47684 | + | 10.9004i | −0.0474676 | + | 0.350352i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 1.32124 | + | 0.429297i | 0.0424224 | + | 0.0137839i | ||||
\(971\) | −24.5102 | − | 33.7354i | −0.786569 | − | 1.08262i | −0.994527 | − | 0.104482i | \(-0.966682\pi\) |
0.207958 | − | 0.978138i | \(-0.433318\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −5.03232 | − | 15.4879i | −0.161329 | − | 0.496519i | ||||
\(974\) | 10.1243 | + | 31.1592i | 0.324402 | + | 0.998407i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.04119 | − | 2.80946i | −0.0653370 | − | 0.0899287i | ||||
\(977\) | −26.9977 | − | 8.77208i | −0.863733 | − | 0.280644i | −0.156546 | − | 0.987671i | \(-0.550036\pi\) |
−0.707187 | + | 0.707027i | \(0.750036\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −14.9426 | − | 34.9613i | −0.477569 | − | 1.11737i | ||||
\(980\) | 0.629871i | 0.0201205i | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −17.8538 | + | 12.9715i | −0.569737 | + | 0.413938i | ||||
\(983\) | −26.8818 | + | 36.9996i | −0.857395 | + | 1.18010i | 0.124789 | + | 0.992183i | \(0.460175\pi\) |
−0.982184 | + | 0.187920i | \(0.939825\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −8.74859 | + | 2.84259i | −0.278753 | + | 0.0905724i | ||||
\(986\) | 3.66646 | + | 2.66384i | 0.116764 | + | 0.0848338i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.0926776 | + | 0.285232i | −0.00294847 | + | 0.00907445i | ||||
\(989\) | −9.32418 | −0.296492 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −43.2114 | −1.37265 | −0.686327 | − | 0.727293i | \(-0.740778\pi\) | ||||
−0.686327 | + | 0.727293i | \(0.740778\pi\) | |||||||
\(992\) | 0.811560 | − | 2.49773i | 0.0257671 | − | 0.0793029i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.385255 | − | 0.279904i | −0.0122196 | − | 0.00887803i | ||||
\(995\) | 5.15473 | − | 1.67487i | 0.163416 | − | 0.0530970i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −3.47760 | + | 4.78650i | −0.110137 | + | 0.151590i | −0.860527 | − | 0.509405i | \(-0.829866\pi\) |
0.750390 | + | 0.660995i | \(0.229866\pi\) | |||||||
\(998\) | 19.6615 | − | 14.2849i | 0.622373 | − | 0.452180i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1386.2.bu.a.827.7 | ✓ | 48 | |
3.2 | odd | 2 | 1386.2.bu.b.827.6 | yes | 48 | ||
11.6 | odd | 10 | 1386.2.bu.b.1205.6 | yes | 48 | ||
33.17 | even | 10 | inner | 1386.2.bu.a.1205.7 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1386.2.bu.a.827.7 | ✓ | 48 | 1.1 | even | 1 | trivial | |
1386.2.bu.a.1205.7 | yes | 48 | 33.17 | even | 10 | inner | |
1386.2.bu.b.827.6 | yes | 48 | 3.2 | odd | 2 | ||
1386.2.bu.b.1205.6 | yes | 48 | 11.6 | odd | 10 |