Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [72,2,Mod(11,72)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(72, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("72.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 72.l (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.574922894553\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 3 x^{15} + 7 x^{14} - 12 x^{13} + 16 x^{12} - 12 x^{11} - 8 x^{10} + 36 x^{9} - 68 x^{8} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.5 | ||
Root | \(1.12063 + 0.862658i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 72.11 |
Dual form | 72.2.l.b.59.5 |
$q$-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 \(\left(\mathbb{Z}/72\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(55\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.186766 | − | 1.40183i | 0.132064 | − | 0.991241i | ||||
\(3\) | 0.418594 | − | 1.68071i | 0.241675 | − | 0.970357i | ||||
\(4\) | −1.93024 | − | 0.523628i | −0.965118 | − | 0.261814i | ||||
\(5\) | 1.60936 | + | 2.78750i | 0.719730 | + | 1.24661i | 0.961107 | + | 0.276177i | \(0.0890676\pi\) |
−0.241377 | + | 0.970431i | \(0.577599\pi\) | |||||||
\(6\) | −2.27788 | − | 0.900696i | −0.929941 | − | 0.367708i | ||||
\(7\) | −1.82223 | − | 1.05206i | −0.688736 | − | 0.397642i | 0.114402 | − | 0.993435i | \(-0.463505\pi\) |
−0.803139 | + | 0.595792i | \(0.796838\pi\) | |||||||
\(8\) | −1.09454 | + | 2.60806i | −0.386978 | + | 0.922089i | ||||
\(9\) | −2.64956 | − | 1.40707i | −0.883186 | − | 0.469023i | ||||
\(10\) | 4.20817 | − | 1.73544i | 1.33074 | − | 0.548794i | ||||
\(11\) | 3.47720 | + | 2.00756i | 1.04842 | + | 0.605303i | 0.922206 | − | 0.386700i | \(-0.126385\pi\) |
0.126211 | + | 0.992003i | \(0.459718\pi\) | |||||||
\(12\) | −1.68805 | + | 3.02498i | −0.487298 | + | 0.873235i | ||||
\(13\) | 0.341902 | − | 0.197397i | 0.0948267 | − | 0.0547482i | −0.451837 | − | 0.892101i | \(-0.649231\pi\) |
0.546663 | + | 0.837352i | \(0.315898\pi\) | |||||||
\(14\) | −1.81514 | + | 2.35795i | −0.485116 | + | 0.630190i | ||||
\(15\) | 5.35864 | − | 1.53804i | 1.38360 | − | 0.397120i | ||||
\(16\) | 3.45163 | + | 2.02145i | 0.862907 | + | 0.505363i | ||||
\(17\) | 1.20474i | 0.292192i | 0.989270 | + | 0.146096i | \(0.0466709\pi\) | ||||
−0.989270 | + | 0.146096i | \(0.953329\pi\) | |||||||
\(18\) | −2.46731 | + | 3.45143i | −0.581551 | + | 0.813510i | ||||
\(19\) | −1.62474 | −0.372741 | −0.186371 | − | 0.982480i | \(-0.559673\pi\) | ||||
−0.186371 | + | 0.982480i | \(0.559673\pi\) | |||||||
\(20\) | −1.64684 | − | 6.22324i | −0.368244 | − | 1.39156i | ||||
\(21\) | −2.53098 | + | 2.62224i | −0.552306 | + | 0.572220i | ||||
\(22\) | 3.46368 | − | 4.49949i | 0.738460 | − | 0.959295i | ||||
\(23\) | −2.74384 | − | 4.75248i | −0.572131 | − | 0.990960i | −0.996347 | − | 0.0853986i | \(-0.972784\pi\) |
0.424216 | − | 0.905561i | \(-0.360550\pi\) | |||||||
\(24\) | 3.92522 | + | 2.93132i | 0.801233 | + | 0.598353i | ||||
\(25\) | −2.68011 | + | 4.64208i | −0.536021 | + | 0.928416i | ||||
\(26\) | −0.212861 | − | 0.516155i | −0.0417455 | − | 0.101226i | ||||
\(27\) | −3.47396 | + | 3.86414i | −0.668564 | + | 0.743655i | ||||
\(28\) | 2.96644 | + | 2.98490i | 0.560604 | + | 0.564093i | ||||
\(29\) | −2.95670 | + | 5.12116i | −0.549046 | + | 0.950976i | 0.449294 | + | 0.893384i | \(0.351676\pi\) |
−0.998340 | + | 0.0575919i | \(0.981658\pi\) | |||||||
\(30\) | −1.15525 | − | 7.79915i | −0.210919 | − | 1.42392i | ||||
\(31\) | −3.34777 | + | 1.93284i | −0.601277 | + | 0.347148i | −0.769544 | − | 0.638594i | \(-0.779516\pi\) |
0.168267 | + | 0.985742i | \(0.446183\pi\) | |||||||
\(32\) | 3.47838 | − | 4.46104i | 0.614896 | − | 0.788608i | ||||
\(33\) | 4.82967 | − | 5.00381i | 0.840737 | − | 0.871051i | ||||
\(34\) | 1.68884 | + | 0.225005i | 0.289633 | + | 0.0385880i | ||||
\(35\) | − | 6.77261i | − | 1.14478i | ||||||
\(36\) | 4.37749 | + | 4.10336i | 0.729582 | + | 0.683893i | ||||
\(37\) | − | 10.8195i | − | 1.77871i | −0.457215 | − | 0.889356i | \(-0.651153\pi\) | ||
0.457215 | − | 0.889356i | \(-0.348847\pi\) | |||||||
\(38\) | −0.303447 | + | 2.27761i | −0.0492256 | + | 0.369477i | ||||
\(39\) | −0.188649 | − | 0.657267i | −0.0302081 | − | 0.105247i | ||||
\(40\) | −9.03149 | + | 1.14629i | −1.42800 | + | 0.181244i | ||||
\(41\) | −1.23849 | + | 0.715041i | −0.193419 | + | 0.111671i | −0.593582 | − | 0.804773i | \(-0.702287\pi\) |
0.400163 | + | 0.916444i | \(0.368953\pi\) | |||||||
\(42\) | 3.20323 | + | 4.03774i | 0.494269 | + | 0.623038i | ||||
\(43\) | −1.21569 | + | 2.10564i | −0.185391 | + | 0.321107i | −0.943708 | − | 0.330779i | \(-0.892689\pi\) |
0.758317 | + | 0.651886i | \(0.226022\pi\) | |||||||
\(44\) | −5.66061 | − | 5.69584i | −0.853369 | − | 0.858680i | ||||
\(45\) | −0.341902 | − | 9.65013i | −0.0509678 | − | 1.43856i | ||||
\(46\) | −7.17460 | + | 2.95879i | −1.05784 | + | 0.436250i | ||||
\(47\) | −0.792576 | + | 1.37278i | −0.115609 | + | 0.200241i | −0.918023 | − | 0.396527i | \(-0.870215\pi\) |
0.802414 | + | 0.596768i | \(0.203549\pi\) | |||||||
\(48\) | 4.84230 | − | 4.95501i | 0.698926 | − | 0.715194i | ||||
\(49\) | −1.28633 | − | 2.22799i | −0.183761 | − | 0.318284i | ||||
\(50\) | 6.00684 | + | 4.62403i | 0.849495 | + | 0.653937i | ||||
\(51\) | 2.02482 | + | 0.504297i | 0.283531 | + | 0.0706157i | ||||
\(52\) | −0.763315 | + | 0.201994i | −0.105853 | + | 0.0280115i | ||||
\(53\) | 7.07284 | 0.971529 | 0.485765 | − | 0.874090i | \(-0.338541\pi\) | ||||
0.485765 | + | 0.874090i | \(0.338541\pi\) | |||||||
\(54\) | 4.76804 | + | 5.59158i | 0.648848 | + | 0.760918i | ||||
\(55\) | 12.9236i | 1.74262i | ||||||||
\(56\) | 4.73834 | − | 3.60095i | 0.633187 | − | 0.481197i | ||||
\(57\) | −0.680107 | + | 2.73072i | −0.0900824 | + | 0.361692i | ||||
\(58\) | 6.62677 | + | 5.10125i | 0.870137 | + | 0.669827i | ||||
\(59\) | −2.29587 | + | 1.32552i | −0.298897 | + | 0.172568i | −0.641947 | − | 0.766749i | \(-0.721873\pi\) |
0.343050 | + | 0.939317i | \(0.388540\pi\) | |||||||
\(60\) | −11.1488 | + | 0.162845i | −1.43931 | + | 0.0210231i | ||||
\(61\) | 8.18631 | + | 4.72637i | 1.04815 | + | 0.605149i | 0.922131 | − | 0.386879i | \(-0.126447\pi\) |
0.126019 | + | 0.992028i | \(0.459780\pi\) | |||||||
\(62\) | 2.08425 | + | 5.05398i | 0.264700 | + | 0.641856i | ||||
\(63\) | 3.34777 | + | 5.35150i | 0.421779 | + | 0.674225i | ||||
\(64\) | −5.60397 | − | 5.70925i | −0.700496 | − | 0.713657i | ||||
\(65\) | 1.10049 | + | 0.635369i | 0.136499 | + | 0.0788078i | ||||
\(66\) | −6.11246 | − | 7.70490i | −0.752391 | − | 0.948407i | ||||
\(67\) | −2.60947 | − | 4.51973i | −0.318797 | − | 0.552173i | 0.661440 | − | 0.749998i | \(-0.269946\pi\) |
−0.980237 | + | 0.197825i | \(0.936612\pi\) | |||||||
\(68\) | 0.630836 | − | 2.32543i | 0.0765001 | − | 0.282000i | ||||
\(69\) | −9.13608 | + | 2.62224i | −1.09985 | + | 0.315681i | ||||
\(70\) | −9.49402 | − | 1.26490i | −1.13475 | − | 0.151184i | ||||
\(71\) | 2.69468 | 0.319800 | 0.159900 | − | 0.987133i | \(-0.448883\pi\) | ||||
0.159900 | + | 0.987133i | \(0.448883\pi\) | |||||||
\(72\) | 6.56977 | − | 5.37012i | 0.774254 | − | 0.632875i | ||||
\(73\) | 9.49652 | 1.11148 | 0.555742 | − | 0.831355i | \(-0.312434\pi\) | ||||
0.555742 | + | 0.831355i | \(0.312434\pi\) | |||||||
\(74\) | −15.1670 | − | 2.02072i | −1.76313 | − | 0.234904i | ||||
\(75\) | 6.68011 | + | 6.44762i | 0.771352 | + | 0.744507i | ||||
\(76\) | 3.13614 | + | 0.850761i | 0.359740 | + | 0.0975890i | ||||
\(77\) | −4.22417 | − | 7.31647i | −0.481388 | − | 0.833789i | ||||
\(78\) | −0.956608 | + | 0.141698i | −0.108315 | + | 0.0160441i | ||||
\(79\) | −1.53599 | − | 0.886804i | −0.172812 | − | 0.0997732i | 0.411099 | − | 0.911591i | \(-0.365145\pi\) |
−0.583911 | + | 0.811818i | \(0.698478\pi\) | |||||||
\(80\) | −0.0798779 | + | 12.8747i | −0.00893062 | + | 1.43943i | ||||
\(81\) | 5.04032 | + | 7.45622i | 0.560036 | + | 0.828469i | ||||
\(82\) | 0.771055 | + | 1.86969i | 0.0851488 | + | 0.206473i | ||||
\(83\) | −1.30809 | − | 0.755228i | −0.143582 | − | 0.0828971i | 0.426488 | − | 0.904493i | \(-0.359751\pi\) |
−0.570070 | + | 0.821596i | \(0.693084\pi\) | |||||||
\(84\) | 6.25847 | − | 3.73625i | 0.682855 | − | 0.407659i | ||||
\(85\) | −3.35821 | + | 1.93887i | −0.364249 | + | 0.210300i | ||||
\(86\) | 2.72469 | + | 2.09745i | 0.293811 | + | 0.226174i | ||||
\(87\) | 7.36952 | + | 7.11304i | 0.790095 | + | 0.762598i | ||||
\(88\) | −9.04179 | + | 6.87140i | −0.963858 | + | 0.732494i | ||||
\(89\) | − | 11.2323i | − | 1.19062i | −0.803494 | − | 0.595312i | \(-0.797028\pi\) | ||
0.803494 | − | 0.595312i | \(-0.202972\pi\) | |||||||
\(90\) | −13.5917 | − | 1.32303i | −1.43269 | − | 0.139460i | ||||
\(91\) | −0.830698 | −0.0870808 | ||||||||
\(92\) | 2.80774 | + | 10.6102i | 0.292727 | + | 1.10619i | ||||
\(93\) | 1.84718 | + | 6.43570i | 0.191543 | + | 0.667351i | ||||
\(94\) | 1.77638 | + | 1.36744i | 0.183219 | + | 0.141041i | ||||
\(95\) | −2.61480 | − | 4.52897i | −0.268273 | − | 0.464662i | ||||
\(96\) | −6.04168 | − | 7.71350i | −0.616627 | − | 0.787256i | ||||
\(97\) | 5.84818 | − | 10.1294i | 0.593793 | − | 1.02848i | −0.399923 | − | 0.916549i | \(-0.630963\pi\) |
0.993716 | − | 0.111931i | \(-0.0357036\pi\) | |||||||
\(98\) | −3.36350 | + | 1.38710i | −0.339764 | + | 0.140118i | ||||
\(99\) | −6.38828 | − | 10.2118i | −0.642046 | − | 1.02633i | ||||
\(100\) | 7.60397 | − | 7.55694i | 0.760397 | − | 0.755694i | ||||
\(101\) | 2.03509 | − | 3.52487i | 0.202499 | − | 0.350738i | −0.746834 | − | 0.665010i | \(-0.768427\pi\) |
0.949333 | + | 0.314272i | \(0.101760\pi\) | |||||||
\(102\) | 1.08510 | − | 2.74426i | 0.107441 | − | 0.271722i | ||||
\(103\) | 15.6784 | − | 9.05191i | 1.54484 | − | 0.891911i | 0.546312 | − | 0.837582i | \(-0.316031\pi\) |
0.998523 | − | 0.0543294i | \(-0.0173021\pi\) | |||||||
\(104\) | 0.140599 | + | 1.10776i | 0.0137869 | + | 0.108625i | ||||
\(105\) | −11.3828 | − | 2.83497i | −1.11084 | − | 0.276665i | ||||
\(106\) | 1.32097 | − | 9.91489i | 0.128304 | − | 0.963020i | ||||
\(107\) | 12.3971i | 1.19848i | 0.800571 | + | 0.599238i | \(0.204530\pi\) | ||||
−0.800571 | + | 0.599238i | \(0.795470\pi\) | |||||||
\(108\) | 8.72894 | − | 5.63965i | 0.839942 | − | 0.542676i | ||||
\(109\) | 1.76155i | 0.168726i | 0.996435 | + | 0.0843628i | \(0.0268855\pi\) | ||||
−0.996435 | + | 0.0843628i | \(0.973115\pi\) | |||||||
\(110\) | 18.1167 | + | 2.41370i | 1.72736 | + | 0.230137i | ||||
\(111\) | −18.1844 | − | 4.52897i | −1.72599 | − | 0.429871i | ||||
\(112\) | −4.16295 | − | 7.31487i | −0.393362 | − | 0.691190i | ||||
\(113\) | −15.7938 | + | 9.11858i | −1.48576 | + | 0.857804i | −0.999869 | − | 0.0162153i | \(-0.994838\pi\) |
−0.485891 | + | 0.874019i | \(0.661505\pi\) | |||||||
\(114\) | 3.70097 | + | 1.46340i | 0.346628 | + | 0.137060i | ||||
\(115\) | 8.83169 | − | 15.2969i | 0.823559 | − | 1.42645i | ||||
\(116\) | 8.38872 | − | 8.33684i | 0.778873 | − | 0.774056i | ||||
\(117\) | −1.18364 | + | 0.0419362i | −0.109428 | + | 0.00387701i | ||||
\(118\) | 1.42936 | + | 3.46598i | 0.131583 | + | 0.319069i | ||||
\(119\) | 1.26746 | − | 2.19531i | 0.116188 | − | 0.201244i | ||||
\(120\) | −1.85394 | + | 15.6591i | −0.169241 | + | 1.42948i | ||||
\(121\) | 2.56063 | + | 4.43514i | 0.232785 | + | 0.403195i | ||||
\(122\) | 8.15447 | − | 10.5931i | 0.738271 | − | 0.959050i | ||||
\(123\) | 0.683352 | + | 2.38085i | 0.0616158 | + | 0.214674i | ||||
\(124\) | 7.47408 | − | 1.97784i | 0.671192 | − | 0.177616i | ||||
\(125\) | −1.15943 | −0.103703 | ||||||||
\(126\) | 8.12712 | − | 3.69351i | 0.724021 | − | 0.329044i | ||||
\(127\) | − | 2.09206i | − | 0.185641i | −0.995683 | − | 0.0928203i | \(-0.970412\pi\) | ||
0.995683 | − | 0.0928203i | \(-0.0295882\pi\) | |||||||
\(128\) | −9.05002 | + | 6.78949i | −0.799916 | + | 0.600112i | ||||
\(129\) | 3.03008 | + | 2.92463i | 0.266784 | + | 0.257499i | ||||
\(130\) | 1.09621 | − | 1.42403i | 0.0961441 | − | 0.124896i | ||||
\(131\) | −1.05457 | + | 0.608856i | −0.0921382 | + | 0.0531960i | −0.545361 | − | 0.838201i | \(-0.683607\pi\) |
0.453223 | + | 0.891397i | \(0.350274\pi\) | |||||||
\(132\) | −11.9425 | + | 7.12959i | −1.03946 | + | 0.620551i | ||||
\(133\) | 2.96065 | + | 1.70933i | 0.256721 | + | 0.148218i | ||||
\(134\) | −6.82324 | + | 2.81389i | −0.589438 | + | 0.243083i | ||||
\(135\) | −16.3622 | − | 3.46485i | −1.40823 | − | 0.298207i | ||||
\(136\) | −3.14204 | − | 1.31864i | −0.269427 | − | 0.113072i | ||||
\(137\) | 6.20436 | + | 3.58209i | 0.530074 | + | 0.306038i | 0.741047 | − | 0.671454i | \(-0.234330\pi\) |
−0.210973 | + | 0.977492i | \(0.567663\pi\) | |||||||
\(138\) | 1.96962 | + | 13.2969i | 0.167665 | + | 1.13191i | ||||
\(139\) | 11.0378 | + | 19.1181i | 0.936217 | + | 1.62158i | 0.772450 | + | 0.635076i | \(0.219031\pi\) |
0.163767 | + | 0.986499i | \(0.447635\pi\) | |||||||
\(140\) | −3.54633 | + | 13.0727i | −0.299719 | + | 1.10485i | ||||
\(141\) | 1.97548 | + | 1.90673i | 0.166365 | + | 0.160575i | ||||
\(142\) | 0.503276 | − | 3.77747i | 0.0422340 | − | 0.316999i | ||||
\(143\) | 1.58515 | 0.132557 | ||||||||
\(144\) | −6.30096 | − | 10.2126i | −0.525080 | − | 0.851053i | ||||
\(145\) | −19.0337 | −1.58066 | ||||||||
\(146\) | 1.77363 | − | 13.3125i | 0.146787 | − | 1.10175i | ||||
\(147\) | −4.28305 | + | 1.22932i | −0.353260 | + | 0.101393i | ||||
\(148\) | −5.66539 | + | 20.8842i | −0.465692 | + | 1.71667i | ||||
\(149\) | 0.0838199 | + | 0.145180i | 0.00686679 | + | 0.0118936i | 0.869438 | − | 0.494041i | \(-0.164481\pi\) |
−0.862572 | + | 0.505935i | \(0.831148\pi\) | |||||||
\(150\) | 10.2861 | − | 8.16015i | 0.839854 | − | 0.666274i | ||||
\(151\) | −16.5201 | − | 9.53789i | −1.34439 | − | 0.776182i | −0.356939 | − | 0.934128i | \(-0.616180\pi\) |
−0.987448 | + | 0.157945i | \(0.949513\pi\) | |||||||
\(152\) | 1.77834 | − | 4.23743i | 0.144243 | − | 0.343701i | ||||
\(153\) | 1.69515 | − | 3.19203i | 0.137045 | − | 0.258060i | ||||
\(154\) | −11.0454 | + | 4.55508i | −0.890060 | + | 0.367059i | ||||
\(155\) | −10.7756 | − | 6.22127i | −0.865514 | − | 0.499705i | ||||
\(156\) | 0.0199738 | + | 1.36746i | 0.00159918 | + | 0.109485i | ||||
\(157\) | −13.3563 | + | 7.71126i | −1.06595 | + | 0.615426i | −0.927072 | − | 0.374884i | \(-0.877683\pi\) |
−0.138877 | + | 0.990310i | \(0.544349\pi\) | |||||||
\(158\) | −1.53002 | + | 1.98757i | −0.121722 | + | 0.158122i | ||||
\(159\) | 2.96065 | − | 11.8874i | 0.234795 | − | 0.942730i | ||||
\(160\) | 18.0331 | + | 2.51653i | 1.42564 | + | 0.198949i | ||||
\(161\) | 11.5468i | 0.910013i | ||||||||
\(162\) | 11.3937 | − | 5.67309i | 0.895173 | − | 0.445720i | ||||
\(163\) | −5.04605 | −0.395237 | −0.197619 | − | 0.980279i | \(-0.563321\pi\) | ||||
−0.197619 | + | 0.980279i | \(0.563321\pi\) | |||||||
\(164\) | 2.76499 | − | 0.731691i | 0.215909 | − | 0.0571355i | ||||
\(165\) | 21.7208 | + | 5.40974i | 1.69096 | + | 0.421148i | ||||
\(166\) | −1.30301 | + | 1.69267i | −0.101133 | + | 0.131377i | ||||
\(167\) | 9.49899 | + | 16.4527i | 0.735054 | + | 1.27315i | 0.954700 | + | 0.297571i | \(0.0961765\pi\) |
−0.219646 | + | 0.975580i | \(0.570490\pi\) | |||||||
\(168\) | −4.06871 | − | 9.47110i | −0.313908 | − | 0.730711i | ||||
\(169\) | −6.42207 | + | 11.1233i | −0.494005 | + | 0.855642i | ||||
\(170\) | 2.09075 | + | 5.06975i | 0.160353 | + | 0.388832i | ||||
\(171\) | 4.30485 | + | 2.28612i | 0.329200 | + | 0.174824i | ||||
\(172\) | 3.44914 | − | 3.42781i | 0.262995 | − | 0.261368i | ||||
\(173\) | 1.26352 | − | 2.18848i | 0.0960636 | − | 0.166387i | −0.813988 | − | 0.580881i | \(-0.802708\pi\) |
0.910052 | + | 0.414494i | \(0.136041\pi\) | |||||||
\(174\) | 11.3476 | − | 9.00231i | 0.860262 | − | 0.682463i | ||||
\(175\) | 9.76752 | − | 5.63928i | 0.738355 | − | 0.426289i | ||||
\(176\) | 7.94381 | + | 13.9584i | 0.598787 | + | 1.05215i | ||||
\(177\) | 1.26678 | + | 4.41355i | 0.0952169 | + | 0.331742i | ||||
\(178\) | −15.7458 | − | 2.09782i | −1.18020 | − | 0.157238i | ||||
\(179\) | − | 10.9962i | − | 0.821898i | −0.911658 | − | 0.410949i | \(-0.865197\pi\) | ||
0.911658 | − | 0.410949i | \(-0.134803\pi\) | |||||||
\(180\) | −4.39313 | + | 18.8061i | −0.327445 | + | 1.40172i | ||||
\(181\) | 14.3426i | 1.06608i | 0.846091 | + | 0.533038i | \(0.178950\pi\) | ||||
−0.846091 | + | 0.533038i | \(0.821050\pi\) | |||||||
\(182\) | −0.155146 | + | 1.16449i | −0.0115002 | + | 0.0863181i | ||||
\(183\) | 11.3704 | − | 11.7804i | 0.840523 | − | 0.870830i | ||||
\(184\) | 15.3980 | − | 1.95434i | 1.13515 | − | 0.144076i | ||||
\(185\) | 30.1593 | − | 17.4125i | 2.21736 | − | 1.28019i | ||||
\(186\) | 9.36672 | − | 1.38745i | 0.686801 | − | 0.101733i | ||||
\(187\) | −2.41859 | + | 4.18913i | −0.176865 | + | 0.306339i | ||||
\(188\) | 2.24869 | − | 2.23478i | 0.164002 | − | 0.162988i | ||||
\(189\) | 10.3957 | − | 3.38652i | 0.756173 | − | 0.246333i | ||||
\(190\) | −6.83719 | + | 2.81964i | −0.496022 | + | 0.204558i | ||||
\(191\) | −0.237073 | + | 0.410623i | −0.0171540 | + | 0.0297116i | −0.874475 | − | 0.485071i | \(-0.838794\pi\) |
0.857321 | + | 0.514782i | \(0.172127\pi\) | |||||||
\(192\) | −11.9414 | + | 7.02877i | −0.861794 | + | 0.507258i | ||||
\(193\) | −10.6703 | − | 18.4815i | −0.768067 | − | 1.33033i | −0.938610 | − | 0.344981i | \(-0.887885\pi\) |
0.170543 | − | 0.985350i | \(-0.445448\pi\) | |||||||
\(194\) | −13.1074 | − | 10.0900i | −0.941053 | − | 0.724417i | ||||
\(195\) | 1.52853 | − | 1.58364i | 0.109460 | − | 0.113407i | ||||
\(196\) | 1.31628 | + | 4.97410i | 0.0940202 | + | 0.355293i | ||||
\(197\) | −21.4346 | −1.52715 | −0.763575 | − | 0.645719i | \(-0.776558\pi\) | ||||
−0.763575 | + | 0.645719i | \(0.776558\pi\) | |||||||
\(198\) | −15.5083 | + | 7.04803i | −1.10213 | + | 0.500882i | ||||
\(199\) | − | 6.09835i | − | 0.432301i | −0.976360 | − | 0.216150i | \(-0.930650\pi\) | ||
0.976360 | − | 0.216150i | \(-0.0693501\pi\) | |||||||
\(200\) | −9.17335 | − | 12.0708i | −0.648654 | − | 0.853536i | ||||
\(201\) | −8.68865 | + | 2.49382i | −0.612850 | + | 0.175901i | ||||
\(202\) | −4.56118 | − | 3.51117i | −0.320923 | − | 0.247045i | ||||
\(203\) | 10.7756 | − | 6.22127i | 0.756296 | − | 0.436648i | ||||
\(204\) | −3.64431 | − | 2.03366i | −0.255153 | − | 0.142385i | ||||
\(205\) | −3.98635 | − | 2.30152i | −0.278419 | − | 0.160745i | ||||
\(206\) | −9.76102 | − | 23.6689i | −0.680082 | − | 1.64909i | ||||
\(207\) | 0.582917 | + | 16.4527i | 0.0405156 | + | 1.14354i | ||||
\(208\) | 1.57915 | + | 0.00979746i | 0.109494 | + | 0.000679332i | ||||
\(209\) | −5.64956 | − | 3.26177i | −0.390788 | − | 0.225622i | ||||
\(210\) | −6.10006 | + | 15.4272i | −0.420944 | + | 1.06458i | ||||
\(211\) | 1.36572 | + | 2.36549i | 0.0940197 | + | 0.162847i | 0.909199 | − | 0.416362i | \(-0.136695\pi\) |
−0.815179 | + | 0.579209i | \(0.803362\pi\) | |||||||
\(212\) | −13.6523 | − | 3.70354i | −0.937640 | − | 0.254360i | ||||
\(213\) | 1.12798 | − | 4.52897i | 0.0772876 | − | 0.310320i | ||||
\(214\) | 17.3786 | + | 2.31537i | 1.18798 | + | 0.158275i | ||||
\(215\) | −7.82596 | −0.533726 | ||||||||
\(216\) | −6.27554 | − | 13.2898i | −0.426996 | − | 0.904253i | ||||
\(217\) | 8.13386 | 0.552162 | ||||||||
\(218\) | 2.46938 | + | 0.328998i | 0.167248 | + | 0.0222825i | ||||
\(219\) | 3.97518 | − | 15.9609i | 0.268618 | − | 1.07854i | ||||
\(220\) | 6.76717 | − | 24.9456i | 0.456242 | − | 1.68183i | ||||
\(221\) | 0.237813 | + | 0.411904i | 0.0159970 | + | 0.0277076i | ||||
\(222\) | −9.74507 | + | 24.6455i | −0.654046 | + | 1.65410i | ||||
\(223\) | 13.4015 | + | 7.73737i | 0.897432 | + | 0.518133i | 0.876366 | − | 0.481645i | \(-0.159961\pi\) |
0.0210661 | + | 0.999778i | \(0.493294\pi\) | |||||||
\(224\) | −11.0317 | + | 4.46956i | −0.737085 | + | 0.298635i | ||||
\(225\) | 13.6328 | − | 8.52837i | 0.908855 | − | 0.568558i | ||||
\(226\) | 9.83291 | + | 23.8433i | 0.654075 | + | 1.58603i | ||||
\(227\) | 13.9546 | + | 8.05671i | 0.926202 | + | 0.534743i | 0.885608 | − | 0.464433i | \(-0.153742\pi\) |
0.0405935 | + | 0.999176i | \(0.487075\pi\) | |||||||
\(228\) | 2.74265 | − | 4.91481i | 0.181636 | − | 0.325491i | ||||
\(229\) | −9.60052 | + | 5.54286i | −0.634420 | + | 0.366283i | −0.782462 | − | 0.622698i | \(-0.786036\pi\) |
0.148042 | + | 0.988981i | \(0.452703\pi\) | |||||||
\(230\) | −19.7942 | − | 15.2374i | −1.30519 | − | 1.00473i | ||||
\(231\) | −14.0651 | + | 4.03696i | −0.925413 | + | 0.265613i | ||||
\(232\) | −10.1201 | − | 13.3166i | −0.664415 | − | 0.874276i | ||||
\(233\) | − | 8.96547i | − | 0.587348i | −0.955906 | − | 0.293674i | \(-0.905122\pi\) | ||
0.955906 | − | 0.293674i | \(-0.0948780\pi\) | |||||||
\(234\) | −0.162277 | + | 1.66709i | −0.0106084 | + | 0.108981i | ||||
\(235\) | −5.10218 | −0.332829 | ||||||||
\(236\) | 5.12566 | − | 1.35639i | 0.333652 | − | 0.0882933i | ||||
\(237\) | −2.13341 | + | 2.21034i | −0.138580 | + | 0.143577i | ||||
\(238\) | −2.84072 | − | 2.18677i | −0.184137 | − | 0.141747i | ||||
\(239\) | 11.6179 | + | 20.1228i | 0.751499 | + | 1.30163i | 0.947096 | + | 0.320951i | \(0.104002\pi\) |
−0.195597 | + | 0.980684i | \(0.562664\pi\) | |||||||
\(240\) | 21.6051 | + | 5.52351i | 1.39460 | + | 0.356541i | ||||
\(241\) | −4.27609 | + | 7.40641i | −0.275447 | + | 0.477089i | −0.970248 | − | 0.242114i | \(-0.922159\pi\) |
0.694801 | + | 0.719202i | \(0.255493\pi\) | |||||||
\(242\) | 6.69554 | − | 2.76122i | 0.430406 | − | 0.177498i | ||||
\(243\) | 14.6416 | − | 5.35018i | 0.939257 | − | 0.343214i | ||||
\(244\) | −13.3267 | − | 13.4096i | −0.853151 | − | 0.858461i | ||||
\(245\) | 4.14035 | − | 7.17129i | 0.264517 | − | 0.458157i | ||||
\(246\) | 3.46516 | − | 0.513279i | 0.220931 | − | 0.0327254i | ||||
\(247\) | −0.555503 | + | 0.320720i | −0.0353458 | + | 0.0204069i | ||||
\(248\) | −1.37669 | − | 10.8468i | −0.0874197 | − | 0.688770i | ||||
\(249\) | −1.81688 | + | 1.88239i | −0.115140 | + | 0.119292i | ||||
\(250\) | −0.216543 | + | 1.62532i | −0.0136954 | + | 0.102794i | ||||
\(251\) | 13.6971i | 0.864551i | 0.901742 | + | 0.432275i | \(0.142289\pi\) | ||||
−0.901742 | + | 0.432275i | \(0.857711\pi\) | |||||||
\(252\) | −3.65979 | − | 12.0826i | −0.230545 | − | 0.761135i | ||||
\(253\) | − | 22.0338i | − | 1.38525i | ||||||
\(254\) | −2.93271 | − | 0.390727i | −0.184015 | − | 0.0245164i | ||||
\(255\) | 1.85294 | + | 6.45577i | 0.116036 | + | 0.404276i | ||||
\(256\) | 7.82745 | + | 13.9546i | 0.489216 | + | 0.872163i | ||||
\(257\) | 3.88533 | − | 2.24320i | 0.242360 | − | 0.139927i | −0.373901 | − | 0.927469i | \(-0.621980\pi\) |
0.616261 | + | 0.787542i | \(0.288647\pi\) | |||||||
\(258\) | 4.66574 | − | 3.70143i | 0.290476 | − | 0.230441i | ||||
\(259\) | −11.3828 | + | 19.7155i | −0.707291 | + | 1.22506i | ||||
\(260\) | −1.79151 | − | 1.80266i | −0.111105 | − | 0.111796i | ||||
\(261\) | 15.0398 | − | 9.40853i | 0.930939 | − | 0.582374i | ||||
\(262\) | 0.656552 | + | 1.59204i | 0.0405619 | + | 0.0983564i | ||||
\(263\) | −11.1123 | + | 19.2471i | −0.685214 | + | 1.18682i | 0.288156 | + | 0.957583i | \(0.406958\pi\) |
−0.973370 | + | 0.229241i | \(0.926376\pi\) | |||||||
\(264\) | 7.76398 | + | 18.0729i | 0.477840 | + | 1.11231i | ||||
\(265\) | 11.3828 | + | 19.7155i | 0.699238 | + | 1.21112i | ||||
\(266\) | 2.94913 | − | 3.83107i | 0.180823 | − | 0.234898i | ||||
\(267\) | −18.8783 | − | 4.70178i | −1.15533 | − | 0.287744i | ||||
\(268\) | 2.67023 | + | 10.0905i | 0.163110 | + | 0.616378i | ||||
\(269\) | 12.9941 | 0.792266 | 0.396133 | − | 0.918193i | \(-0.370352\pi\) | ||||
0.396133 | + | 0.918193i | \(0.370352\pi\) | |||||||
\(270\) | −7.91302 | + | 22.2898i | −0.481571 | + | 1.35651i | ||||
\(271\) | − | 11.1500i | − | 0.677314i | −0.940910 | − | 0.338657i | \(-0.890027\pi\) | ||
0.940910 | − | 0.338657i | \(-0.109973\pi\) | |||||||
\(272\) | −2.43533 | + | 4.15831i | −0.147663 | + | 0.252135i | ||||
\(273\) | −0.347725 | + | 1.39616i | −0.0210453 | + | 0.0844995i | ||||
\(274\) | 6.18023 | − | 8.02842i | 0.373361 | − | 0.485015i | ||||
\(275\) | −18.6386 | + | 10.7610i | −1.12395 | + | 0.648911i | ||||
\(276\) | 19.0079 | − | 0.277638i | 1.14414 | − | 0.0167118i | ||||
\(277\) | 1.29497 | + | 0.747654i | 0.0778074 | + | 0.0449221i | 0.538399 | − | 0.842690i | \(-0.319029\pi\) |
−0.460592 | + | 0.887612i | \(0.652363\pi\) | |||||||
\(278\) | 28.8617 | − | 11.9025i | 1.73101 | − | 0.713865i | ||||
\(279\) | 11.5897 | − | 0.410623i | 0.693860 | − | 0.0245833i | ||||
\(280\) | 17.6634 | + | 7.41289i | 1.05559 | + | 0.443005i | ||||
\(281\) | −9.39961 | − | 5.42687i | −0.560734 | − | 0.323740i | 0.192706 | − | 0.981256i | \(-0.438274\pi\) |
−0.753440 | + | 0.657517i | \(0.771607\pi\) | |||||||
\(282\) | 3.04185 | − | 2.41317i | 0.181140 | − | 0.143702i | ||||
\(283\) | −12.0627 | − | 20.8931i | −0.717050 | − | 1.24197i | −0.962163 | − | 0.272473i | \(-0.912159\pi\) |
0.245113 | − | 0.969494i | \(-0.421175\pi\) | |||||||
\(284\) | −5.20137 | − | 1.41101i | −0.308644 | − | 0.0837281i | ||||
\(285\) | −8.70641 | + | 2.49892i | −0.515723 | + | 0.148023i | ||||
\(286\) | 0.296053 | − | 2.22211i | 0.0175060 | − | 0.131396i | ||||
\(287\) | 3.00907 | 0.177620 | ||||||||
\(288\) | −15.4931 | + | 6.92548i | −0.912943 | + | 0.408088i | ||||
\(289\) | 15.5486 | 0.914624 | ||||||||
\(290\) | −3.55485 | + | 26.6819i | −0.208748 | + | 1.56681i | ||||
\(291\) | −14.5765 | − | 14.0692i | −0.854488 | − | 0.824750i | ||||
\(292\) | −18.3305 | − | 4.97265i | −1.07271 | − | 0.291002i | ||||
\(293\) | −3.54036 | − | 6.13209i | −0.206830 | − | 0.358240i | 0.743884 | − | 0.668309i | \(-0.232981\pi\) |
−0.950714 | + | 0.310068i | \(0.899648\pi\) | |||||||
\(294\) | 0.923368 | + | 6.23369i | 0.0538519 | + | 0.363556i | ||||
\(295\) | −7.38979 | − | 4.26650i | −0.430250 | − | 0.248405i | ||||
\(296\) | 28.2179 | + | 11.8424i | 1.64013 | + | 0.688323i | ||||
\(297\) | −19.8372 | + | 6.46222i | −1.15107 | + | 0.374976i | ||||
\(298\) | 0.219172 | − | 0.0903861i | 0.0126963 | − | 0.00523593i | ||||
\(299\) | −1.87625 | − | 1.08326i | −0.108507 | − | 0.0626463i | ||||
\(300\) | −9.51803 | − | 15.9433i | −0.549524 | − | 0.920489i | ||||
\(301\) | 4.43052 | − | 2.55796i | 0.255371 | − | 0.147439i | ||||
\(302\) | −16.4559 | + | 21.3770i | −0.946929 | + | 1.23011i | ||||
\(303\) | −5.07241 | − | 4.89588i | −0.291402 | − | 0.281261i | ||||
\(304\) | −5.60800 | − | 3.28434i | −0.321641 | − | 0.188370i | ||||
\(305\) | 30.4258i | 1.74218i | ||||||||
\(306\) | −4.15808 | − | 2.97247i | −0.237701 | − | 0.169925i | ||||
\(307\) | 12.9052 | 0.736541 | 0.368270 | − | 0.929719i | \(-0.379950\pi\) | ||||
0.368270 | + | 0.929719i | \(0.379950\pi\) | |||||||
\(308\) | 4.32253 | + | 16.3344i | 0.246299 | + | 0.930739i | ||||
\(309\) | −8.65075 | − | 30.1398i | −0.492124 | − | 1.71459i | ||||
\(310\) | −10.7337 | + | 13.9435i | −0.609631 | + | 0.791940i | ||||
\(311\) | −7.89357 | − | 13.6721i | −0.447603 | − | 0.775271i | 0.550626 | − | 0.834752i | \(-0.314389\pi\) |
−0.998229 | + | 0.0594804i | \(0.981056\pi\) | |||||||
\(312\) | 1.92068 | + | 0.227397i | 0.108737 | + | 0.0128738i | ||||
\(313\) | 2.06365 | − | 3.57434i | 0.116644 | − | 0.202034i | −0.801792 | − | 0.597604i | \(-0.796120\pi\) |
0.918436 | + | 0.395570i | \(0.129453\pi\) | |||||||
\(314\) | 8.31535 | + | 20.1634i | 0.469262 | + | 1.13789i | ||||
\(315\) | −9.52952 | + | 17.9444i | −0.536927 | + | 1.01105i | ||||
\(316\) | 2.50047 | + | 2.51603i | 0.140662 | + | 0.141538i | ||||
\(317\) | 7.58238 | − | 13.1331i | 0.425869 | − | 0.737627i | −0.570632 | − | 0.821206i | \(-0.693302\pi\) |
0.996501 | + | 0.0835791i | \(0.0266351\pi\) | |||||||
\(318\) | −16.1111 | − | 6.37048i | −0.903465 | − | 0.357239i | ||||
\(319\) | −20.5621 | + | 11.8715i | −1.15126 | + | 0.664679i | ||||
\(320\) | 6.89572 | − | 24.8093i | 0.385483 | − | 1.38688i | ||||
\(321\) | 20.8360 | + | 5.18936i | 1.16295 | + | 0.289642i | ||||
\(322\) | 16.1866 | + | 2.15655i | 0.902043 | + | 0.120180i | ||||
\(323\) | − | 1.95739i | − | 0.108912i | ||||||
\(324\) | −5.82472 | − | 17.0315i | −0.323596 | − | 0.946195i | ||||
\(325\) | 2.11619i | 0.117385i | ||||||||
\(326\) | −0.942433 | + | 7.07369i | −0.0521965 | + | 0.391776i | ||||
\(327\) | 2.96065 | + | 0.737373i | 0.163724 | + | 0.0407768i | ||||
\(328\) | −0.509297 | − | 4.01269i | −0.0281212 | − | 0.221564i | ||||
\(329\) | 2.88851 | − | 1.66768i | 0.159248 | − | 0.0919421i | ||||
\(330\) | 11.6402 | − | 29.4385i | 0.640774 | − | 1.62053i | ||||
\(331\) | 7.09621 | − | 12.2910i | 0.390043 | − | 0.675575i | −0.602412 | − | 0.798186i | \(-0.705793\pi\) |
0.992455 | + | 0.122611i | \(0.0391267\pi\) | |||||||
\(332\) | 2.12947 | + | 2.14272i | 0.116870 | + | 0.117597i | ||||
\(333\) | −15.2237 | + | 28.6669i | −0.834256 | + | 1.57093i | ||||
\(334\) | 24.8380 | − | 10.2431i | 1.35907 | − | 0.560479i | ||||
\(335\) | 8.39917 | − | 14.5478i | 0.458896 | − | 0.794830i | ||||
\(336\) | −14.0367 | + | 3.93474i | −0.765767 | + | 0.214658i | ||||
\(337\) | −12.9139 | − | 22.3675i | −0.703464 | − | 1.21844i | −0.967243 | − | 0.253853i | \(-0.918302\pi\) |
0.263779 | − | 0.964583i | \(-0.415031\pi\) | |||||||
\(338\) | 14.3936 | + | 11.0801i | 0.782908 | + | 0.602678i | ||||
\(339\) | 8.71447 | + | 30.3618i | 0.473305 | + | 1.64903i | ||||
\(340\) | 7.49739 | − | 1.98401i | 0.406603 | − | 0.107598i | ||||
\(341\) | −15.5212 | −0.840518 | ||||||||
\(342\) | 4.00875 | − | 5.60768i | 0.216768 | − | 0.303229i | ||||
\(343\) | 20.1421i | 1.08757i | ||||||||
\(344\) | −4.16101 | − | 5.47530i | −0.224347 | − | 0.295208i | ||||
\(345\) | −22.0128 | − | 21.2467i | −1.18513 | − | 1.14388i | ||||
\(346\) | −2.83189 | − | 2.17997i | −0.152243 | − | 0.117196i | ||||
\(347\) | 11.4312 | − | 6.59978i | 0.613656 | − | 0.354295i | −0.160739 | − | 0.986997i | \(-0.551388\pi\) |
0.774395 | + | 0.632702i | \(0.218054\pi\) | |||||||
\(348\) | −10.5003 | − | 17.5887i | −0.562876 | − | 0.942856i | ||||
\(349\) | −12.7838 | − | 7.38075i | −0.684303 | − | 0.395082i | 0.117171 | − | 0.993112i | \(-0.462617\pi\) |
−0.801474 | + | 0.598029i | \(0.795951\pi\) | |||||||
\(350\) | −6.08105 | − | 14.7456i | −0.325046 | − | 0.788185i | ||||
\(351\) | −0.424983 | + | 2.00691i | −0.0226839 | + | 0.107121i | ||||
\(352\) | 21.0509 | − | 8.52889i | 1.12201 | − | 0.454591i | ||||
\(353\) | −1.21582 | − | 0.701955i | −0.0647116 | − | 0.0373613i | 0.467295 | − | 0.884101i | \(-0.345229\pi\) |
−0.532007 | + | 0.846740i | \(0.678562\pi\) | |||||||
\(354\) | 6.42362 | − | 0.951501i | 0.341411 | − | 0.0505717i | ||||
\(355\) | 4.33672 | + | 7.51142i | 0.230169 | + | 0.398665i | ||||
\(356\) | −5.88157 | + | 21.6811i | −0.311722 | + | 1.14909i | ||||
\(357\) | −3.15912 | − | 3.04918i | −0.167198 | − | 0.161379i | ||||
\(358\) | −15.4148 | − | 2.05373i | −0.814699 | − | 0.108543i | ||||
\(359\) | 11.3107 | 0.596953 | 0.298477 | − | 0.954417i | \(-0.403521\pi\) | ||||
0.298477 | + | 0.954417i | \(0.403521\pi\) | |||||||
\(360\) | 25.5424 | + | 9.67075i | 1.34620 | + | 0.509693i | ||||
\(361\) | −16.3602 | −0.861064 | ||||||||
\(362\) | 20.1058 | + | 2.67871i | 1.05674 | + | 0.140790i | ||||
\(363\) | 8.52604 | − | 2.44715i | 0.447501 | − | 0.128442i | ||||
\(364\) | 1.60344 | + | 0.434977i | 0.0840433 | + | 0.0227990i | ||||
\(365\) | 15.2834 | + | 26.4716i | 0.799967 | + | 1.38558i | ||||
\(366\) | −14.3904 | − | 18.1395i | −0.752200 | − | 0.948166i | ||||
\(367\) | 9.82457 | + | 5.67222i | 0.512838 | + | 0.296087i | 0.734000 | − | 0.679150i | \(-0.237651\pi\) |
−0.221161 | + | 0.975237i | \(0.570985\pi\) | |||||||
\(368\) | 0.136186 | − | 21.9503i | 0.00709917 | − | 1.14424i | ||||
\(369\) | 4.28755 | − | 0.151907i | 0.223201 | − | 0.00790798i | ||||
\(370\) | −18.7766 | − | 45.5302i | −0.976146 | − | 2.36700i | ||||
\(371\) | −12.8883 | − | 7.44107i | −0.669127 | − | 0.386321i | ||||
\(372\) | −0.195575 | − | 13.3897i | −0.0101401 | − | 0.694221i | ||||
\(373\) | 20.9314 | − | 12.0848i | 1.08379 | − | 0.625726i | 0.151873 | − | 0.988400i | \(-0.451470\pi\) |
0.931916 | + | 0.362674i | \(0.118136\pi\) | |||||||
\(374\) | 5.42072 | + | 4.17284i | 0.280299 | + | 0.215772i | ||||
\(375\) | −0.485330 | + | 1.94866i | −0.0250623 | + | 0.100629i | ||||
\(376\) | −2.71279 | − | 3.56965i | −0.139902 | − | 0.184091i | ||||
\(377\) | 2.33458i | 0.120237i | ||||||||
\(378\) | −2.80576 | − | 15.2054i | −0.144313 | − | 0.782081i | ||||
\(379\) | 20.7029 | 1.06344 | 0.531719 | − | 0.846921i | \(-0.321546\pi\) | ||||
0.531719 | + | 0.846921i | \(0.321546\pi\) | |||||||
\(380\) | 2.67569 | + | 10.1112i | 0.137260 | + | 0.518692i | ||||
\(381\) | −3.51615 | − | 0.875725i | −0.180138 | − | 0.0448648i | ||||
\(382\) | 0.531344 | + | 0.409026i | 0.0271859 | + | 0.0209276i | ||||
\(383\) | −15.2027 | − | 26.3319i | −0.776824 | − | 1.34550i | −0.933764 | − | 0.357890i | \(-0.883496\pi\) |
0.156940 | − | 0.987608i | \(-0.449837\pi\) | |||||||
\(384\) | 7.62287 | + | 18.0525i | 0.389003 | + | 0.921236i | ||||
\(385\) | 13.5964 | − | 23.5497i | 0.692939 | − | 1.20021i | ||||
\(386\) | −27.9008 | + | 11.5062i | −1.42011 | + | 0.585651i | ||||
\(387\) | 6.18382 | − | 3.86845i | 0.314341 | − | 0.196644i | ||||
\(388\) | −16.5924 | + | 16.4898i | −0.842351 | + | 0.837141i | ||||
\(389\) | −10.1376 | + | 17.5588i | −0.513995 | + | 0.890266i | 0.485873 | + | 0.874030i | \(0.338502\pi\) |
−0.999868 | + | 0.0162366i | \(0.994831\pi\) | |||||||
\(390\) | −1.93451 | − | 2.43850i | −0.0979580 | − | 0.123478i | ||||
\(391\) | 5.72550 | − | 3.30562i | 0.289551 | − | 0.167172i | ||||
\(392\) | 7.21867 | − | 0.916205i | 0.364598 | − | 0.0462753i | ||||
\(393\) | 0.581873 | + | 2.02729i | 0.0293516 | + | 0.102263i | ||||
\(394\) | −4.00326 | + | 30.0476i | −0.201681 | + | 1.51377i | ||||
\(395\) | − | 5.70876i | − | 0.287239i | ||||||
\(396\) | 6.98368 | + | 23.0563i | 0.350943 | + | 1.15862i | ||||
\(397\) | 12.2942i | 0.617030i | 0.951220 | + | 0.308515i | \(0.0998320\pi\) | ||||
−0.951220 | + | 0.308515i | \(0.900168\pi\) | |||||||
\(398\) | −8.54883 | − | 1.13897i | −0.428514 | − | 0.0570913i | ||||
\(399\) | 4.11219 | − | 4.26047i | 0.205867 | − | 0.213290i | ||||
\(400\) | −18.6345 | + | 10.6050i | −0.931724 | + | 0.530251i | ||||
\(401\) | −25.3617 | + | 14.6426i | −1.26650 | + | 0.731216i | −0.974325 | − | 0.225147i | \(-0.927714\pi\) |
−0.292179 | + | 0.956364i | \(0.594380\pi\) | |||||||
\(402\) | 1.87316 | + | 12.6458i | 0.0934246 | + | 0.630713i | ||||
\(403\) | −0.763074 | + | 1.32168i | −0.0380114 | + | 0.0658377i | ||||
\(404\) | −5.77392 | + | 5.73821i | −0.287263 | + | 0.285487i | ||||
\(405\) | −12.6725 | + | 26.0497i | −0.629701 | + | 1.29442i | ||||
\(406\) | −6.70863 | − | 16.2674i | −0.332944 | − | 0.807337i | ||||
\(407\) | 21.7208 | − | 37.6216i | 1.07666 | − | 1.86483i | ||||
\(408\) | −3.53148 | + | 4.72887i | −0.174834 | + | 0.234114i | ||||
\(409\) | 15.3567 | + | 26.5986i | 0.759342 | + | 1.31522i | 0.943187 | + | 0.332263i | \(0.107812\pi\) |
−0.183845 | + | 0.982955i | \(0.558855\pi\) | |||||||
\(410\) | −3.97085 | + | 5.15833i | −0.196106 | + | 0.254752i | ||||
\(411\) | 8.61755 | − | 8.92827i | 0.425072 | − | 0.440399i | ||||
\(412\) | −35.0028 | + | 9.26269i | −1.72446 | + | 0.456340i | ||||
\(413\) | 5.57813 | 0.274482 | ||||||||
\(414\) | 23.1728 | + | 2.25567i | 1.13888 | + | 0.110860i | ||||
\(415\) | − | 4.86175i | − | 0.238654i | ||||||
\(416\) | 0.308666 | − | 2.21186i | 0.0151336 | − | 0.108446i | ||||
\(417\) | 36.7523 | − | 10.5487i | 1.79977 | − | 0.516570i | ||||
\(418\) | −5.62759 | + | 7.31051i | −0.275254 | + | 0.357569i | ||||
\(419\) | 11.5932 | − | 6.69333i | 0.566364 | − | 0.326991i | −0.189332 | − | 0.981913i | \(-0.560632\pi\) |
0.755696 | + | 0.654923i | \(0.227299\pi\) | |||||||
\(420\) | 20.4870 | + | 11.4325i | 0.999662 | + | 0.557849i | ||||
\(421\) | 23.9825 | + | 13.8463i | 1.16884 | + | 0.674828i | 0.953406 | − | 0.301691i | \(-0.0975510\pi\) |
0.215431 | + | 0.976519i | \(0.430884\pi\) | |||||||
\(422\) | 3.57108 | − | 1.47270i | 0.173837 | − | 0.0716901i | ||||
\(423\) | 4.03157 | − | 2.52206i | 0.196022 | − | 0.122627i | ||||
\(424\) | −7.74150 | + | 18.4464i | −0.375961 | + | 0.895836i | ||||
\(425\) | −5.59250 | − | 3.22883i | −0.271276 | − | 0.156621i | ||||
\(426\) | −6.13816 | − | 2.42709i | −0.297395 | − | 0.117593i | ||||
\(427\) | −9.94486 | − | 17.2250i | −0.481266 | − | 0.833577i | ||||
\(428\) | 6.49149 | − | 23.9294i | 0.313778 | − | 1.15667i | ||||
\(429\) | 0.663535 | − | 2.66418i | 0.0320358 | − | 0.128628i | ||||
\(430\) | −1.46163 | + | 10.9706i | −0.0704859 | + | 0.529051i | ||||
\(431\) | −29.2554 | −1.40918 | −0.704592 | − | 0.709613i | \(-0.748870\pi\) | ||||
−0.704592 | + | 0.709613i | \(0.748870\pi\) | |||||||
\(432\) | −19.8020 | + | 6.31514i | −0.952724 | + | 0.303837i | ||||
\(433\) | 2.57756 | 0.123870 | 0.0619348 | − | 0.998080i | \(-0.480273\pi\) | ||||
0.0619348 | + | 0.998080i | \(0.480273\pi\) | |||||||
\(434\) | 1.51913 | − | 11.4023i | 0.0729206 | − | 0.547326i | ||||
\(435\) | −7.96737 | + | 31.9900i | −0.382006 | + | 1.53380i | ||||
\(436\) | 0.922396 | − | 3.40020i | 0.0441748 | − | 0.162840i | ||||
\(437\) | 4.45804 | + | 7.72155i | 0.213257 | + | 0.369372i | ||||
\(438\) | −21.6319 | − | 8.55347i | −1.03361 | − | 0.408701i | ||||
\(439\) | 24.4758 | + | 14.1311i | 1.16817 | + | 0.674442i | 0.953248 | − | 0.302189i | \(-0.0977175\pi\) |
0.214920 | + | 0.976632i | \(0.431051\pi\) | |||||||
\(440\) | −33.7056 | − | 14.1454i | −1.60685 | − | 0.674356i | ||||
\(441\) | 0.273275 | + | 7.71314i | 0.0130131 | + | 0.367292i | ||||
\(442\) | 0.621833 | − | 0.256442i | 0.0295776 | − | 0.0121977i | ||||
\(443\) | −23.3499 | − | 13.4811i | −1.10939 | − | 0.640506i | −0.170718 | − | 0.985320i | \(-0.554609\pi\) |
−0.938671 | + | 0.344814i | \(0.887942\pi\) | |||||||
\(444\) | 32.7287 | + | 18.2638i | 1.55323 | + | 0.866764i | ||||
\(445\) | 31.3101 | − | 18.0769i | 1.48424 | − | 0.856928i | ||||
\(446\) | 13.3494 | − | 17.3415i | 0.632113 | − | 0.821145i | ||||
\(447\) | 0.279092 | − | 0.0801052i | 0.0132006 | − | 0.00378884i | ||||
\(448\) | 4.20520 | + | 16.2993i | 0.198677 | + | 0.770068i | ||||
\(449\) | − | 23.4500i | − | 1.10668i | −0.832957 | − | 0.553338i | \(-0.813354\pi\) | ||
0.832957 | − | 0.553338i | \(-0.186646\pi\) | |||||||
\(450\) | −9.40915 | − | 20.7037i | −0.443552 | − | 0.975980i | ||||
\(451\) | −5.74196 | −0.270378 | ||||||||
\(452\) | 35.2606 | − | 9.33091i | 1.65852 | − | 0.438889i | ||||
\(453\) | −22.9456 | + | 23.7730i | −1.07808 | + | 1.11695i | ||||
\(454\) | 13.9004 | − | 18.0573i | 0.652377 | − | 0.847469i | ||||
\(455\) | −1.33690 | − | 2.31557i | −0.0626746 | − | 0.108556i | ||||
\(456\) | −6.37747 | − | 4.76264i | −0.298652 | − | 0.223031i | ||||
\(457\) | −8.06063 | + | 13.9614i | −0.377060 | + | 0.653088i | −0.990633 | − | 0.136550i | \(-0.956398\pi\) |
0.613573 | + | 0.789638i | \(0.289732\pi\) | |||||||
\(458\) | 5.97708 | + | 14.4935i | 0.279291 | + | 0.677236i | ||||
\(459\) | −4.65529 | − | 4.18522i | −0.217290 | − | 0.195349i | ||||
\(460\) | −25.0571 | + | 24.9022i | −1.16830 | + | 1.16107i | ||||
\(461\) | −5.14578 | + | 8.91276i | −0.239663 | + | 0.415109i | −0.960618 | − | 0.277874i | \(-0.910370\pi\) |
0.720955 | + | 0.692982i | \(0.243704\pi\) | |||||||
\(462\) | 3.03224 | + | 20.4707i | 0.141072 | + | 0.952385i | ||||
\(463\) | −22.3273 | + | 12.8907i | −1.03764 | + | 0.599080i | −0.919163 | − | 0.393877i | \(-0.871134\pi\) |
−0.118474 | + | 0.992957i | \(0.537800\pi\) | |||||||
\(464\) | −20.5576 | + | 11.6995i | −0.954364 | + | 0.543136i | ||||
\(465\) | −14.9667 | + | 15.5064i | −0.694065 | + | 0.719091i | ||||
\(466\) | −12.5680 | − | 1.67445i | −0.582203 | − | 0.0775674i | ||||
\(467\) | 10.8110i | 0.500271i | 0.968211 | + | 0.250136i | \(0.0804752\pi\) | ||||
−0.968211 | + | 0.250136i | \(0.919525\pi\) | |||||||
\(468\) | 2.30667 | + | 0.538842i | 0.106626 | + | 0.0249080i | ||||
\(469\) | 10.9813i | 0.507069i | ||||||||
\(470\) | −0.952915 | + | 7.15237i | −0.0439547 | + | 0.329914i | ||||
\(471\) | 7.36952 | + | 25.6759i | 0.339570 | + | 1.18308i | ||||
\(472\) | −0.944120 | − | 7.43861i | −0.0434567 | − | 0.342390i | ||||
\(473\) | −8.45441 | + | 4.88115i | −0.388734 | + | 0.224436i | ||||
\(474\) | 2.70006 | + | 3.40349i | 0.124018 | + | 0.156328i | ||||
\(475\) | 4.35448 | − | 7.54218i | 0.199797 | − | 0.346059i | ||||
\(476\) | −3.59603 | + | 3.57379i | −0.164824 | + | 0.163804i | ||||
\(477\) | −18.7399 | − | 9.95196i | −0.858041 | − | 0.455669i | ||||
\(478\) | 30.3785 | − | 12.5280i | 1.38948 | − | 0.573018i | ||||
\(479\) | −6.16167 | + | 10.6723i | −0.281534 | + | 0.487631i | −0.971763 | − | 0.235960i | \(-0.924176\pi\) |
0.690229 | + | 0.723591i | \(0.257510\pi\) | |||||||
\(480\) | 11.7781 | − | 29.2550i | 0.537595 | − | 1.33530i | ||||
\(481\) | −2.13574 | − | 3.69921i | −0.0973813 | − | 0.168669i | ||||
\(482\) | 9.58387 | + | 7.37761i | 0.436533 | + | 0.336041i | ||||
\(483\) | 19.4068 | + | 4.83341i | 0.883038 | + | 0.219928i | ||||
\(484\) | −2.62026 | − | 9.90169i | −0.119103 | − | 0.450077i | ||||
\(485\) | 37.6474 | 1.70948 | ||||||||
\(486\) | −4.76547 | − | 21.5242i | −0.216166 | − | 0.976357i | ||||
\(487\) | − | 7.62691i | − | 0.345608i | −0.984956 | − | 0.172804i | \(-0.944717\pi\) | ||
0.984956 | − | 0.172804i | \(-0.0552828\pi\) | |||||||
\(488\) | −21.2869 | + | 16.1772i | −0.963612 | + | 0.732307i | ||||
\(489\) | −2.11225 | + | 8.48094i | −0.0955191 | + | 0.383521i | ||||
\(490\) | −9.27963 | − | 7.14340i | −0.419211 | − | 0.322706i | ||||
\(491\) | 22.1130 | − | 12.7670i | 0.997948 | − | 0.576165i | 0.0903072 | − | 0.995914i | \(-0.471215\pi\) |
0.907640 | + | 0.419749i | \(0.137882\pi\) | |||||||
\(492\) | −0.0723519 | − | 4.95342i | −0.00326187 | − | 0.223317i | ||||
\(493\) | −6.16967 | − | 3.56206i | −0.277868 | − | 0.160427i | ||||
\(494\) | 0.345844 | + | 0.838619i | 0.0155603 | + | 0.0377312i | ||||
\(495\) | 18.1844 | − | 34.2419i | 0.817328 | − | 1.53906i | ||||
\(496\) | −15.4624 | − | 0.0959328i | −0.694282 | − | 0.00430751i | ||||
\(497\) | −4.91031 | − | 2.83497i | −0.220258 | − | 0.127166i | ||||
\(498\) | 2.29945 | + | 2.89852i | 0.103041 | + | 0.129886i | ||||
\(499\) | −5.58850 | − | 9.67956i | −0.250176 | − | 0.433317i | 0.713398 | − | 0.700759i | \(-0.247155\pi\) |
−0.963574 | + | 0.267442i | \(0.913822\pi\) | |||||||
\(500\) | 2.23797 | + | 0.607111i | 0.100085 | + | 0.0271508i | ||||
\(501\) | 31.6285 | − | 9.07802i | 1.41306 | − | 0.405576i | ||||
\(502\) | 19.2009 | + | 2.55815i | 0.856979 | + | 0.114176i | ||||
\(503\) | −22.3635 | −0.997137 | −0.498569 | − | 0.866850i | \(-0.666141\pi\) | ||||
−0.498569 | + | 0.866850i | \(0.666141\pi\) | |||||||
\(504\) | −17.6213 | + | 2.87376i | −0.784915 | + | 0.128008i | ||||
\(505\) | 13.1008 | 0.582977 | ||||||||
\(506\) | −30.8875 | − | 4.11517i | −1.37312 | − | 0.182942i | ||||
\(507\) | 16.0069 | + | 15.4498i | 0.710890 | + | 0.686149i | ||||
\(508\) | −1.09546 | + | 4.03818i | −0.0486034 | + | 0.179165i | ||||
\(509\) | −6.12701 | − | 10.6123i | −0.271575 | − | 0.470382i | 0.697690 | − | 0.716399i | \(-0.254211\pi\) |
−0.969265 | + | 0.246018i | \(0.920878\pi\) | |||||||
\(510\) | 9.39595 | − | 1.39178i | 0.416059 | − | 0.0616290i | ||||
\(511\) | −17.3048 | − | 9.99093i | −0.765519 | − | 0.441973i | ||||
\(512\) | 21.0238 | − | 8.36648i | 0.929131 | − | 0.369750i | ||||
\(513\) | 5.64429 | − | 6.27824i | 0.249201 | − | 0.277191i | ||||
\(514\) | −2.41892 | − | 5.86551i | −0.106694 | − | 0.258717i | ||||
\(515\) | 50.4644 | + | 29.1356i | 2.22373 | + | 1.28387i | ||||
\(516\) | −4.31736 | − | 7.23186i | −0.190061 | − | 0.318365i | ||||
\(517\) | −5.51190 | + | 3.18230i | −0.242413 | + | 0.139957i | ||||
\(518\) | 25.5119 | + | 19.6389i | 1.12093 | + | 0.862883i | ||||
\(519\) | −3.14930 | − | 3.03969i | −0.138239 | − | 0.133428i | ||||
\(520\) | −2.86161 | + | 2.17471i | −0.125490 | + | 0.0953674i | ||||
\(521\) | − | 34.9202i | − | 1.52988i | −0.644101 | − | 0.764940i | \(-0.722768\pi\) | ||
0.644101 | − | 0.764940i | \(-0.277232\pi\) | |||||||
\(522\) | −10.3802 | − | 22.8404i | −0.454329 | − | 0.999696i | ||||
\(523\) | −36.8697 | −1.61220 | −0.806100 | − | 0.591779i | \(-0.798426\pi\) | ||||
−0.806100 | + | 0.591779i | \(0.798426\pi\) | |||||||
\(524\) | 2.35438 | − | 0.623034i | 0.102852 | − | 0.0272173i | ||||
\(525\) | −5.38936 | − | 18.7769i | −0.235211 | − | 0.819492i | ||||
\(526\) | 24.9056 | + | 19.1722i | 1.08594 | + | 0.835949i | ||||
\(527\) | −2.32857 | − | 4.03319i | −0.101434 | − | 0.175689i | ||||
\(528\) | 26.7852 | − | 7.50834i | 1.16567 | − | 0.326759i | ||||
\(529\) | −3.55735 | + | 6.16151i | −0.154667 | + | 0.267892i | ||||
\(530\) | 29.7637 | − | 12.2745i | 1.29285 | − | 0.533169i | ||||
\(531\) | 7.94815 | − | 0.281601i | 0.344920 | − | 0.0122205i | ||||
\(532\) | −4.81969 | − | 4.84969i | −0.208960 | − | 0.210261i | ||||
\(533\) | −0.282294 | + | 0.488948i | −0.0122275 | + | 0.0211787i | ||||
\(534\) | −10.1169 | + | 25.5859i | −0.437802 | + | 1.10721i | ||||
\(535\) | −34.5570 | + | 19.9515i | −1.49403 | + | 0.862579i | ||||
\(536\) | 14.6439 | − | 1.85863i | 0.632520 | − | 0.0802805i | ||||
\(537\) | −18.4815 | − | 4.60296i | −0.797534 | − | 0.198632i | ||||
\(538\) | 2.42687 | − | 18.2155i | 0.104630 | − | 0.785327i | ||||
\(539\) | − | 10.3296i | − | 0.444926i | ||||||
\(540\) | 29.7686 | + | 15.2557i | 1.28104 | + | 0.656500i | ||||
\(541\) | 11.9200i | 0.512481i | 0.966613 | + | 0.256240i | \(0.0824839\pi\) | ||||
−0.966613 | + | 0.256240i | \(0.917516\pi\) | |||||||
\(542\) | −15.6304 | − | 2.08245i | −0.671382 | − | 0.0894487i | ||||
\(543\) | 24.1057 | + | 6.00371i | 1.03447 | + | 0.257644i | ||||
\(544\) | 5.37440 | + | 4.19054i | 0.230425 | + | 0.179668i | ||||
\(545\) | −4.91031 | + | 2.83497i | −0.210335 | + | 0.121437i | ||||
\(546\) | 1.89223 | + | 0.748206i | 0.0809800 | + | 0.0320203i | ||||
\(547\) | −10.3339 | + | 17.8989i | −0.441847 | + | 0.765302i | −0.997827 | − | 0.0658943i | \(-0.979010\pi\) |
0.555979 | + | 0.831196i | \(0.312343\pi\) | |||||||
\(548\) | −10.1002 | − | 10.1631i | −0.431459 | − | 0.434144i | ||||
\(549\) | −15.0398 | − | 24.0415i | −0.641882 | − | 1.02607i | ||||
\(550\) | 11.6040 | + | 28.1378i | 0.494795 | + | 1.19980i | ||||
\(551\) | 4.80388 | − | 8.32057i | 0.204652 | − | 0.354468i | ||||
\(552\) | 3.16083 | − | 26.6976i | 0.134534 | − | 1.13633i | ||||
\(553\) | 1.86595 | + | 3.23191i | 0.0793481 | + | 0.137435i | ||||
\(554\) | 1.28994 | − | 1.67569i | 0.0548042 | − | 0.0711934i | ||||
\(555\) | −16.6408 | − | 57.9778i | −0.706363 | − | 2.46102i | ||||
\(556\) | −11.2949 | − | 42.6822i | −0.479009 | − | 1.81013i | ||||
\(557\) | −21.6506 | −0.917367 | −0.458684 | − | 0.888600i | \(-0.651679\pi\) | ||||
−0.458684 | + | 0.888600i | \(0.651679\pi\) | |||||||
\(558\) | 1.58895 | − | 16.3235i | 0.0672658 | − | 0.691029i | ||||
\(559\) | 0.959897i | 0.0405993i | ||||||||
\(560\) | 13.6905 | − | 23.3765i | 0.578530 | − | 0.987838i | ||||
\(561\) | 6.02829 | + | 5.81849i | 0.254515 | + | 0.245657i | ||||
\(562\) | −9.36306 | + | 12.1631i | −0.394957 | + | 0.513068i | ||||
\(563\) | −36.7299 | + | 21.2060i | −1.54798 | + | 0.893726i | −0.549683 | + | 0.835373i | \(0.685252\pi\) |
−0.998296 | + | 0.0583533i | \(0.981415\pi\) | |||||||
\(564\) | −2.81472 | − | 4.71485i | −0.118521 | − | 0.198531i | ||||
\(565\) | −50.8361 | − | 29.3502i | −2.13869 | − | 1.23477i | ||||
\(566\) | −31.5414 | + | 13.0076i | −1.32579 | + | 0.546751i | ||||
\(567\) | −1.34020 | − | 18.8896i | −0.0562829 | − | 0.793290i | ||||
\(568\) | −2.94943 | + | 7.02789i | −0.123755 | + | 0.294884i | ||||
\(569\) | 19.3062 | + | 11.1464i | 0.809357 | + | 0.467282i | 0.846732 | − | 0.532019i | \(-0.178567\pi\) |
−0.0373758 | + | 0.999301i | \(0.511900\pi\) | |||||||
\(570\) | 1.87699 | + | 12.6716i | 0.0786183 | + | 0.530755i | ||||
\(571\) | 1.30386 | + | 2.25835i | 0.0545649 | + | 0.0945091i | 0.892018 | − | 0.452001i | \(-0.149289\pi\) |
−0.837453 | + | 0.546510i | \(0.815956\pi\) | |||||||
\(572\) | −3.05972 | − | 0.830031i | −0.127933 | − | 0.0347053i | ||||
\(573\) | 0.590899 | + | 0.570335i | 0.0246852 | + | 0.0238261i | ||||
\(574\) | 0.561993 | − | 4.21819i | 0.0234571 | − | 0.176064i | ||||
\(575\) | 29.4152 | 1.22670 | ||||||||
\(576\) | 6.81473 | + | 23.0122i | 0.283947 | + | 0.958840i | ||||
\(577\) | −12.3081 | −0.512394 | −0.256197 | − | 0.966625i | \(-0.582470\pi\) | ||||
−0.256197 | + | 0.966625i | \(0.582470\pi\) | |||||||
\(578\) | 2.90396 | − | 21.7964i | 0.120789 | − | 0.906613i | ||||
\(579\) | −35.5286 | + | 10.1974i | −1.47652 | + | 0.423791i | ||||
\(580\) | 36.7395 | + | 9.96656i | 1.52552 | + | 0.413839i | ||||
\(581\) | 1.58909 | + | 2.75239i | 0.0659267 | + | 0.114188i | ||||
\(582\) | −22.4449 | + | 17.8060i | −0.930373 | + | 0.738084i | ||||
\(583\) | 24.5937 | + | 14.1992i | 1.01857 | + | 0.588070i | ||||
\(584\) | −10.3943 | + | 24.7675i | −0.430120 | + | 1.02489i | ||||
\(585\) | −2.02181 | − | 3.23191i | −0.0835915 | − | 0.133623i | ||||
\(586\) | −9.25734 | + | 3.81771i | −0.382417 | + | 0.157708i | ||||
\(587\) | −23.8189 | − | 13.7518i | −0.983111 | − | 0.567599i | −0.0799032 | − | 0.996803i | \(-0.525461\pi\) |
−0.903208 | + | 0.429203i | \(0.858794\pi\) | |||||||
\(588\) | 8.91100 | − | 0.130158i | 0.367484 | − | 0.00536763i | ||||
\(589\) | 5.43926 | − | 3.14036i | 0.224121 | − | 0.129396i | ||||
\(590\) | −7.36105 | + | 9.56237i | −0.303050 | + | 0.393676i | ||||
\(591\) | −8.97238 | + | 36.0253i | −0.369074 | + | 1.48188i | ||||
\(592\) | 21.8711 | − | 37.3448i | 0.898896 | − | 1.53486i | ||||
\(593\) | 33.5909i | 1.37941i | 0.724088 | + | 0.689707i | \(0.242261\pi\) | ||||
−0.724088 | + | 0.689707i | \(0.757739\pi\) | |||||||
\(594\) | 5.35399 | + | 29.0152i | 0.219677 | + | 1.19051i | ||||
\(595\) | 8.15923 | 0.334496 | ||||||||
\(596\) | −0.0857717 | − | 0.324123i | −0.00351334 | − | 0.0132766i | ||||
\(597\) | −10.2495 | − | 2.55273i | −0.419486 | − | 0.104476i | ||||
\(598\) | −1.86896 | + | 2.42787i | −0.0764273 | + | 0.0992828i | ||||
\(599\) | 4.32570 | + | 7.49232i | 0.176743 | + | 0.306128i | 0.940763 | − | 0.339064i | \(-0.110110\pi\) |
−0.764020 | + | 0.645193i | \(0.776777\pi\) | |||||||
\(600\) | −24.1274 | + | 10.3649i | −0.984999 | + | 0.423147i | ||||
\(601\) | 11.3533 | − | 19.6644i | 0.463109 | − | 0.802128i | −0.536005 | − | 0.844215i | \(-0.680067\pi\) |
0.999114 | + | 0.0420865i | \(0.0134005\pi\) | |||||||
\(602\) | −2.75835 | − | 6.68857i | −0.112422 | − | 0.272606i | ||||
\(603\) | 0.554370 | + | 15.6470i | 0.0225757 | + | 0.637195i | ||||
\(604\) | 26.8934 | + | 27.0608i | 1.09428 | + | 1.10109i | ||||
\(605\) | −8.24197 | + | 14.2755i | −0.335084 | + | 0.580382i | ||||
\(606\) | −7.81053 | + | 6.19625i | −0.317281 | + | 0.251706i | ||||
\(607\) | 18.9691 | − | 10.9518i | 0.769932 | − | 0.444520i | −0.0629187 | − | 0.998019i | \(-0.520041\pi\) |
0.832850 | + | 0.553498i | \(0.186708\pi\) | |||||||
\(608\) | −5.65146 | + | 7.24804i | −0.229197 | + | 0.293947i | ||||
\(609\) | −5.94556 | − | 20.7148i | −0.240926 | − | 0.839404i | ||||
\(610\) | 42.6517 | + | 5.68252i | 1.72692 | + | 0.230078i | ||||
\(611\) | 0.625810i | 0.0253176i | ||||||||
\(612\) | −4.94348 | + | 5.27374i | −0.199828 | + | 0.213178i | ||||
\(613\) | − | 35.2553i | − | 1.42395i | −0.702206 | − | 0.711973i | \(-0.747802\pi\) | ||
0.702206 | − | 0.711973i | \(-0.252198\pi\) | |||||||
\(614\) | 2.41026 | − | 18.0909i | 0.0972704 | − | 0.730089i | ||||
\(615\) | −5.53685 | + | 5.73649i | −0.223267 | + | 0.231318i | ||||
\(616\) | 23.7053 | − | 3.00872i | 0.955114 | − | 0.121225i | ||||
\(617\) | 3.96793 | − | 2.29088i | 0.159743 | − | 0.0922275i | −0.417998 | − | 0.908448i | \(-0.637268\pi\) |
0.577740 | + | 0.816221i | \(0.303935\pi\) | |||||||
\(618\) | −43.8665 | + | 6.49774i | −1.76457 | + | 0.261378i | ||||
\(619\) | −8.24726 | + | 14.2847i | −0.331486 | + | 0.574150i | −0.982803 | − | 0.184655i | \(-0.940883\pi\) |
0.651318 | + | 0.758805i | \(0.274216\pi\) | |||||||
\(620\) | 17.5417 | + | 17.6509i | 0.704494 | + | 0.708878i | ||||
\(621\) | 27.8962 | + | 5.90730i | 1.11944 | + | 0.237052i | ||||
\(622\) | −20.6401 | + | 8.51193i | −0.827593 | + | 0.341297i | ||||
\(623\) | −11.8171 | + | 20.4678i | −0.473443 | + | 0.820027i | ||||
\(624\) | 0.677489 | − | 2.64999i | 0.0271213 | − | 0.106084i | ||||
\(625\) | 11.5346 | + | 19.9785i | 0.461384 | + | 0.799140i | ||||
\(626\) | −4.62518 | − | 3.56044i | −0.184860 | − | 0.142304i | ||||
\(627\) | −7.84696 | + | 8.12990i | −0.313377 | + | 0.324677i | ||||
\(628\) | 29.8187 | − | 7.89083i | 1.18989 | − | 0.314878i | ||||
\(629\) | 13.0347 | 0.519726 | ||||||||
\(630\) | 23.3752 | + | 16.7101i | 0.931289 | + | 0.665748i | ||||
\(631\) | − | 38.0635i | − | 1.51528i | −0.652670 | − | 0.757642i | \(-0.726351\pi\) | ||
0.652670 | − | 0.757642i | \(-0.273649\pi\) | |||||||
\(632\) | 3.99404 | − | 3.03531i | 0.158874 | − | 0.120738i | ||||
\(633\) | 4.54738 | − | 1.30519i | 0.180742 | − | 0.0518767i | ||||
\(634\) | −16.9942 | − | 13.0820i | −0.674924 | − | 0.519553i | ||||
\(635\) | 5.83163 | − | 3.36689i | 0.231421 | − | 0.133611i | ||||
\(636\) | −11.9393 | + | 21.3952i | −0.473425 | + | 0.848374i | ||||
\(637\) | −0.879598 | − | 0.507836i | −0.0348510 | − | 0.0201212i | ||||
\(638\) | 12.8015 | + | 31.0417i | 0.506818 | + | 1.22895i | ||||
\(639\) | −7.13971 | − | 3.79160i | −0.282443 | − | 0.149993i | ||||
\(640\) | −33.4905 | − | 14.3002i | −1.32383 | − | 0.565263i | ||||
\(641\) | 30.2526 | + | 17.4663i | 1.19490 | + | 0.689878i | 0.959415 | − | 0.281998i | \(-0.0909973\pi\) |
0.235490 | + | 0.971877i | \(0.424331\pi\) | |||||||
\(642\) | 11.1660 | − | 28.2392i | 0.440689 | − | 1.11451i | ||||
\(643\) | 18.5870 | + | 32.1936i | 0.733000 | + | 1.26959i | 0.955595 | + | 0.294682i | \(0.0952137\pi\) |
−0.222596 | + | 0.974911i | \(0.571453\pi\) | |||||||
\(644\) | 6.04622 | − | 22.2880i | 0.238254 | − | 0.878271i | ||||
\(645\) | −3.27590 | + | 13.1531i | −0.128988 | + | 0.517905i | ||||
\(646\) | −2.74392 | − | 0.365575i | −0.107958 | − | 0.0143834i | ||||
\(647\) | 9.36933 | 0.368346 | 0.184173 | − | 0.982894i | \(-0.441039\pi\) | ||||
0.184173 | + | 0.982894i | \(0.441039\pi\) | |||||||
\(648\) | −24.9631 | + | 4.98434i | −0.980643 | + | 0.195803i | ||||
\(649\) | −10.6443 | −0.417825 | ||||||||
\(650\) | 2.96652 | + | 0.395232i | 0.116357 | + | 0.0155023i | ||||
\(651\) | 3.40478 | − | 13.6706i | 0.133444 | − | 0.535794i | ||||
\(652\) | 9.74007 | + | 2.64226i | 0.381451 | + | 0.103479i | ||||
\(653\) | −7.65255 | − | 13.2546i | −0.299468 | − | 0.518693i | 0.676547 | − | 0.736400i | \(-0.263476\pi\) |
−0.976014 | + | 0.217707i | \(0.930142\pi\) | |||||||
\(654\) | 1.58662 | − | 4.01260i | 0.0620417 | − | 0.156905i | ||||
\(655\) | −3.39437 | − | 1.95974i | −0.132629 | − | 0.0765735i | ||||
\(656\) | −5.72022 | − | 0.0354897i | −0.223337 | − | 0.00138564i | ||||
\(657\) | −25.1616 | − | 13.3622i | −0.981647 | − | 0.521311i | ||||
\(658\) | −1.79832 | − | 4.36065i | −0.0701059 | − | 0.169996i | ||||
\(659\) | 17.2932 | + | 9.98421i | 0.673646 | + | 0.388930i | 0.797457 | − | 0.603376i | \(-0.206178\pi\) |
−0.123811 | + | 0.992306i | \(0.539512\pi\) | |||||||
\(660\) | −39.0936 | − | 21.8157i | −1.52172 | − | 0.849176i | ||||
\(661\) | 30.6907 | − | 17.7193i | 1.19373 | − | 0.689201i | 0.234580 | − | 0.972097i | \(-0.424628\pi\) |
0.959151 | + | 0.282896i | \(0.0912950\pi\) | |||||||
\(662\) | −15.9045 | − | 12.2432i | −0.618147 | − | 0.475846i | ||||
\(663\) | 0.791837 | − | 0.227273i | 0.0307524 | − | 0.00882657i | ||||
\(664\) | 3.40144 | − | 2.58496i | 0.132002 | − | 0.100316i | ||||
\(665\) | 11.0037i | 0.426707i | ||||||||
\(666\) | 37.3427 | + | 26.6951i | 1.44700 | + | 1.03441i | ||||
\(667\) | 32.4509 | 1.25650 | ||||||||
\(668\) | −9.72018 | − | 36.7316i | −0.376085 | − | 1.42119i | ||||
\(669\) | 18.6141 | − | 19.2852i | 0.719661 | − | 0.745610i | ||||
\(670\) | −18.8248 | − | 14.4912i | −0.727265 | − | 0.559845i | ||||
\(671\) | 18.9770 | + | 32.8691i | 0.732598 | + | 1.26890i | ||||
\(672\) | 2.89423 | + | 20.4120i | 0.111647 | + | 0.787408i | ||||
\(673\) | 1.95563 | − | 3.38725i | 0.0753841 | − | 0.130569i | −0.825869 | − | 0.563862i | \(-0.809315\pi\) |
0.901253 | + | 0.433293i | \(0.142648\pi\) | |||||||
\(674\) | −33.7673 | + | 13.9255i | −1.30067 | + | 0.536391i | ||||
\(675\) | −8.62709 | − | 26.4827i | −0.332057 | − | 1.01932i | ||||
\(676\) | 18.2206 | − | 18.1079i | 0.700793 | − | 0.696458i | ||||
\(677\) | −1.69713 | + | 2.93951i | −0.0652259 | + | 0.112974i | −0.896794 | − | 0.442448i | \(-0.854110\pi\) |
0.831568 | + | 0.555423i | \(0.187443\pi\) | |||||||
\(678\) | 44.1896 | − | 6.54560i | 1.69709 | − | 0.251382i | ||||
\(679\) | −21.3134 | + | 12.3053i | −0.817934 | + | 0.472234i | ||||
\(680\) | −1.38098 | − | 10.8806i | −0.0529582 | − | 0.417252i | ||||
\(681\) | 19.3823 | − | 20.0812i | 0.742732 | − | 0.769512i | ||||
\(682\) | −2.89883 | + | 21.7580i | −0.111002 | + | 0.833157i | ||||
\(683\) | 9.70867i | 0.371492i | 0.982598 | + | 0.185746i | \(0.0594702\pi\) | ||||
−0.982598 | + | 0.185746i | \(0.940530\pi\) | |||||||
\(684\) | −7.11230 | − | 6.66690i | −0.271946 | − | 0.254915i | ||||
\(685\) | 23.0595i | 0.881060i | ||||||||
\(686\) | 28.2357 | + | 3.76186i | 1.07804 | + | 0.143629i | ||||
\(687\) | 5.29722 | + | 18.4559i | 0.202101 | + | 0.704136i | ||||
\(688\) | −8.45256 | + | 4.81041i | −0.322251 | + | 0.183395i | ||||
\(689\) | 2.41822 | − | 1.39616i | 0.0921269 | − | 0.0531895i | ||||
\(690\) | −33.8954 | + | 26.8899i | −1.29038 | + | 1.02368i | ||||
\(691\) | 19.6458 | − | 34.0276i | 0.747363 | − | 1.29447i | −0.201720 | − | 0.979443i | \(-0.564653\pi\) |
0.949083 | − | 0.315027i | \(-0.102014\pi\) | |||||||
\(692\) | −3.58484 | + | 3.56267i | −0.136275 | + | 0.135432i | ||||
\(693\) | 0.897406 | + | 25.3291i | 0.0340896 | + | 0.962173i | ||||
\(694\) | −7.11679 | − | 17.2571i | −0.270150 | − | 0.655071i | ||||
\(695\) | −35.5278 | + | 61.5359i | −1.34765 | + | 2.33419i | ||||
\(696\) | −26.6175 | + | 11.4346i | −1.00893 | + | 0.433429i | ||||
\(697\) | −0.861438 | − | 1.49206i | −0.0326293 | − | 0.0565156i | ||||
\(698\) | −12.7341 | + | 16.5422i | −0.481994 | + | 0.626133i | ||||
\(699\) | −15.0683 | − | 3.75289i | −0.569937 | − | 0.141947i | ||||
\(700\) | −21.8065 | + | 5.77059i | −0.824208 | + | 0.218108i | ||||
\(701\) | −12.0640 | −0.455651 | −0.227826 | − | 0.973702i | \(-0.573162\pi\) | ||||
−0.227826 | + | 0.973702i | \(0.573162\pi\) | |||||||
\(702\) | 2.73397 | + | 0.970576i | 0.103187 | + | 0.0366320i | ||||
\(703\) | 17.5789i | 0.663000i | ||||||||
\(704\) | −8.02444 | − | 31.1026i | −0.302432 | − | 1.17222i | ||||
\(705\) | −2.13574 | + | 8.57527i | −0.0804366 | + | 0.322963i | ||||
\(706\) | −1.21109 | + | 1.57327i | −0.0455801 | + | 0.0592108i | ||||
\(707\) | −7.41677 | + | 4.28208i | −0.278936 | + | 0.161044i | ||||
\(708\) | −0.134124 | − | 9.18251i | −0.00504068 | − | 0.345100i | ||||
\(709\) | −11.5824 | − | 6.68709i | −0.434985 | − | 0.251139i | 0.266483 | − | 0.963840i | \(-0.414138\pi\) |
−0.701468 | + | 0.712701i | \(0.747472\pi\) | |||||||
\(710\) | 11.3397 | − | 4.67645i | 0.425570 | − | 0.175504i | ||||
\(711\) | 2.82190 | + | 4.51088i | 0.105830 | + | 0.169171i | ||||
\(712\) | 29.2946 | + | 12.2942i | 1.09786 | + | 0.460746i | ||||
\(713\) | 18.3715 | + | 10.6068i | 0.688018 | + | 0.397228i | ||||
\(714\) | −4.86443 | + | 3.85906i | −0.182047 | + | 0.144422i | ||||
\(715\) | 2.55109 | + | 4.41861i | 0.0954053 | + | 0.165247i | ||||
\(716\) | −5.75795 | + | 21.2254i | −0.215185 | + | 0.793229i | ||||
\(717\) | 38.6837 | − | 11.1030i | 1.44467 | − | 0.414650i | ||||
\(718\) | 2.11245 | − | 15.8556i | 0.0788359 | − | 0.591725i | ||||
\(719\) | 36.4686 | 1.36005 | 0.680025 | − | 0.733189i | \(-0.261969\pi\) | ||||
0.680025 | + | 0.733189i | \(0.261969\pi\) | |||||||
\(720\) | 18.3272 | − | 33.9998i | 0.683013 | − | 1.26710i | ||||
\(721\) | −38.0927 | −1.41865 | ||||||||
\(722\) | −3.05554 | + | 22.9342i | −0.113715 | + | 0.853522i | ||||
\(723\) | 10.6581 | + | 10.2871i | 0.396378 | + | 0.382583i | ||||
\(724\) | 7.51018 | − | 27.6846i | 0.279114 | − | 1.02889i | ||||
\(725\) | −15.8486 | − | 27.4505i | −0.588601 | − | 1.01949i | ||||
\(726\) | −1.83810 | − | 12.4091i | −0.0682183 | − | 0.460544i | ||||
\(727\) | −4.01460 | − | 2.31783i | −0.148893 | − | 0.0859637i | 0.423702 | − | 0.905801i | \(-0.360730\pi\) |
−0.572596 | + | 0.819838i | \(0.694064\pi\) | |||||||
\(728\) | 0.909232 | − | 2.16651i | 0.0336984 | − | 0.0802962i | ||||
\(729\) | −2.86322 | − | 26.8478i | −0.106045 | − | 0.994361i | ||||
\(730\) | 39.9629 | − | 16.4806i | 1.47910 | − | 0.609975i | ||||
\(731\) | −2.53675 | − | 1.46459i | −0.0938250 | − | 0.0541699i | ||||
\(732\) | −28.1161 | + | 16.7850i | −1.03920 | + | 0.620393i | ||||
\(733\) | −32.3446 | + | 18.6742i | −1.19467 | + | 0.689746i | −0.959363 | − | 0.282175i | \(-0.908944\pi\) |
−0.235311 | + | 0.971920i | \(0.575611\pi\) | |||||||
\(734\) | 9.78636 | − | 12.7130i | 0.361221 | − | 0.469244i | ||||
\(735\) | −10.3197 | − | 9.96057i | −0.380649 | − | 0.367401i | ||||
\(736\) | −30.7451 | − | 4.29049i | −1.13328 | − | 0.158150i | ||||
\(737\) | − | 20.9547i | − | 0.771876i | ||||||
\(738\) | 0.587824 | − | 6.03878i | 0.0216381 | − | 0.222291i | ||||
\(739\) | −21.7009 | −0.798279 | −0.399140 | − | 0.916890i | \(-0.630691\pi\) | ||||
−0.399140 | + | 0.916890i | \(0.630691\pi\) | |||||||
\(740\) | −67.3323 | + | 17.8180i | −2.47518 | + | 0.655001i | ||||
\(741\) | 0.306506 | + | 1.06789i | 0.0112598 | + | 0.0392299i | ||||
\(742\) | −12.8382 | + | 16.6774i | −0.471305 | + | 0.612248i | ||||
\(743\) | −21.4136 | − | 37.0894i | −0.785588 | − | 1.36068i | −0.928647 | − | 0.370964i | \(-0.879027\pi\) |
0.143060 | − | 0.989714i | \(-0.454306\pi\) | |||||||
\(744\) | −18.8065 | − | 2.22657i | −0.689480 | − | 0.0816302i | ||||
\(745\) | −0.269793 | + | 0.467296i | −0.00988446 | + | 0.0171204i | ||||
\(746\) | −13.0315 | − | 31.5993i | −0.477116 | − | 1.15693i | ||||
\(747\) | 2.40321 | + | 3.84160i | 0.0879290 | + | 0.140557i | ||||
\(748\) | 6.86200 | − | 6.81956i | 0.250900 | − | 0.249348i | ||||
\(749\) | 13.0426 | − | 22.5904i | 0.476565 | − | 0.825434i | ||||
\(750\) | 2.64105 | + | 1.04429i | 0.0964373 | + | 0.0381322i | ||||
\(751\) | 27.3860 | − | 15.8113i | 0.999328 | − | 0.576962i | 0.0912787 | − | 0.995825i | \(-0.470905\pi\) |
0.908049 | + | 0.418863i | \(0.137571\pi\) | |||||||
\(752\) | −5.51069 | + | 3.13618i | −0.200954 | + | 0.114365i | ||||
\(753\) | 23.0208 | + | 5.73351i | 0.838923 | + | 0.208941i | ||||
\(754\) | 3.27268 | + | 0.436022i | 0.119184 | + | 0.0158790i | ||||
\(755\) | − | 61.3997i | − | 2.23457i | ||||||
\(756\) | −21.8394 | + | 1.09333i | −0.794290 | + | 0.0397639i | ||||
\(757\) | 32.2957i | 1.17381i | 0.809657 | + | 0.586903i | \(0.199653\pi\) | ||||
−0.809657 | + | 0.586903i | \(0.800347\pi\) | |||||||
\(758\) | 3.86661 | − | 29.0219i | 0.140442 | − | 1.05412i | ||||
\(759\) | −37.0323 | − | 9.22320i | −1.34419 | − | 0.334781i | ||||
\(760\) | 14.6738 | − | 1.86243i | 0.532276 | − | 0.0675573i | ||||
\(761\) | 31.6365 | − | 18.2653i | 1.14682 | − | 0.662118i | 0.198711 | − | 0.980058i | \(-0.436324\pi\) |
0.948111 | + | 0.317940i | \(0.102991\pi\) | |||||||
\(762\) | −1.88431 | + | 4.76548i | −0.0682615 | + | 0.172635i | ||||
\(763\) | 1.85326 | − | 3.20994i | 0.0670924 | − | 0.116207i | ||||
\(764\) | 0.672621 | − | 0.668460i | 0.0243346 | − | 0.0241841i | ||||
\(765\) | 11.6259 | − | 0.411904i | 0.420335 | − | 0.0148924i | ||||
\(766\) | −39.7521 | + | 16.3937i | −1.43630 | + | 0.592328i | ||||
\(767\) | −0.523309 | + | 0.906399i | −0.0188956 | + | 0.0327282i | ||||
\(768\) | 26.7301 | − | 7.31435i | 0.964541 | − | 0.263934i | ||||
\(769\) | −1.92161 | − | 3.32832i | −0.0692950 | − | 0.120022i | 0.829296 | − | 0.558809i | \(-0.188742\pi\) |
−0.898591 | + | 0.438787i | \(0.855408\pi\) | |||||||
\(770\) | −30.4733 | − | 23.4582i | −1.09818 | − | 0.845373i | ||||
\(771\) | −2.14378 | − | 7.46909i | −0.0772064 | − | 0.268993i | ||||
\(772\) | 10.9188 | + | 41.2610i | 0.392976 | + | 1.48502i | ||||
\(773\) | 25.4969 | 0.917059 | 0.458529 | − | 0.888679i | \(-0.348376\pi\) | ||||
0.458529 | + | 0.888679i | \(0.348376\pi\) | |||||||
\(774\) | −4.26797 | − | 9.39114i | −0.153409 | − | 0.337558i | ||||
\(775\) | − | 20.7208i | − | 0.744314i | ||||||
\(776\) | 20.0169 | + | 26.3394i | 0.718565 | + | 0.945529i | ||||
\(777\) | 28.3713 | + | 27.3839i | 1.01782 | + | 0.982393i | ||||
\(778\) | 22.7210 | + | 17.4905i | 0.814588 | + | 0.627065i | ||||
\(779\) | 2.01222 | − | 1.16176i | 0.0720953 | − | 0.0416243i | ||||
\(780\) | −3.77966 | + | 2.25642i | −0.135334 | + | 0.0807930i | ||||
\(781\) | 9.36995 | + | 5.40974i | 0.335283 | + | 0.193576i | ||||
\(782\) | −3.56457 | − | 8.64354i | −0.127469 | − | 0.309092i | ||||
\(783\) | −9.51744 | − | 29.2158i | −0.340126 | − | 1.04409i | ||||
\(784\) | 0.0638446 | − | 10.2904i | 0.00228017 | − | 0.367516i | ||||
\(785\) | −42.9903 | − | 24.8205i | −1.53439 | − | 0.885881i | ||||
\(786\) | 2.95058 | − | 0.437056i | 0.105244 | − | 0.0155893i | ||||
\(787\) | −13.2295 | − | 22.9142i | −0.471581 | − | 0.816802i | 0.527891 | − | 0.849312i | \(-0.322983\pi\) |
−0.999471 | + | 0.0325104i | \(0.989650\pi\) | |||||||
\(788\) | 41.3738 | + | 11.2238i | 1.47388 | + | 0.399830i | ||||
\(789\) | 27.6972 | + | 26.7332i | 0.986045 | + | 0.951728i | ||||
\(790\) | −8.00269 | − | 1.06620i | −0.284723 | − | 0.0379339i | ||||
\(791\) | 38.3733 | 1.36440 | ||||||||
\(792\) | 33.6253 | − | 5.48377i | 1.19482 | − | 0.194857i | ||||
\(793\) | 3.73189 | 0.132523 | ||||||||
\(794\) | 17.2344 | + | 2.29615i | 0.611625 | + | 0.0814873i | ||||
\(795\) | 37.9008 | − | 10.8783i | 1.34420 | − | 0.385814i | ||||
\(796\) | −3.19327 | + | 11.7713i | −0.113182 | + | 0.417221i | ||||
\(797\) | 4.10557 | + | 7.11105i | 0.145427 | + | 0.251886i | 0.929532 | − | 0.368741i | \(-0.120211\pi\) |
−0.784105 | + | 0.620628i | \(0.786878\pi\) | |||||||
\(798\) | −5.20442 | − | 6.56029i | −0.184234 | − | 0.232232i | ||||
\(799\) | −1.65385 | − | 0.954848i | −0.0585089 | − | 0.0337801i | ||||
\(800\) | 11.3861 | + | 28.1030i | 0.402560 | + | 0.993590i | ||||
\(801\) | −15.8046 | + | 29.7607i | −0.558430 | + | 1.05154i | ||||
\(802\) | 15.7897 | + | 38.2875i | 0.557553 | + | 1.35198i | ||||
\(803\) | 33.0213 | + | 19.0649i | 1.16530 | + | 0.672785i | ||||
\(804\) | 18.0770 | − | 0.264041i | 0.637526 | − | 0.00931200i | ||||
\(805\) | −32.1866 | + | 18.5830i | −1.13443 | + | 0.654964i | ||||
\(806\) | 1.71025 | + | 1.31654i | 0.0602411 | + | 0.0463733i | ||||
\(807\) | 5.43926 | − | 21.8393i | 0.191471 | − | 0.768781i | ||||
\(808\) | 6.96560 | + | 9.16574i | 0.245049 | + | 0.322450i | ||||
\(809\) | − | 4.36982i | − | 0.153635i | −0.997045 | − | 0.0768174i | \(-0.975524\pi\) | ||
0.997045 | − | 0.0768174i | \(-0.0244759\pi\) | |||||||
\(810\) | 34.1503 | + | 22.6298i | 1.19992 | + | 0.795132i | ||||
\(811\) | −0.393286 | −0.0138101 | −0.00690507 | − | 0.999976i | \(-0.502198\pi\) | ||||
−0.00690507 | + | 0.999976i | \(0.502198\pi\) | |||||||
\(812\) | −24.0570 | + | 6.36614i | −0.844236 | + | 0.223408i | ||||
\(813\) | −18.7399 | − | 4.66732i | −0.657237 | − | 0.163690i | ||||
\(814\) | −48.6822 | − | 37.4753i | −1.70631 | − | 1.31351i | ||||
\(815\) | −8.12094 | − | 14.0659i | −0.284464 | − | 0.492706i | ||||
\(816\) | 5.96950 | + | 5.83372i | 0.208974 | + | 0.204221i | ||||
\(817\) | 1.97518 | − | 3.42112i | 0.0691029 | − | 0.119690i | ||||
\(818\) | 40.1548 | − | 16.5597i | 1.40398 | − | 0.578998i | ||||
\(819\) | 2.20098 | + | 1.16885i | 0.0769085 | + | 0.0408429i | ||||
\(820\) | 6.48946 | + | 6.52985i | 0.226622 | + | 0.228032i | ||||
\(821\) | −8.66193 | + | 15.0029i | −0.302304 | + | 0.523605i | −0.976657 | − | 0.214803i | \(-0.931089\pi\) |
0.674354 | + | 0.738408i | \(0.264422\pi\) | |||||||
\(822\) | −10.9064 | − | 13.7478i | −0.380405 | − | 0.479510i | ||||
\(823\) | 26.9923 | − | 15.5840i | 0.940893 | − | 0.543225i | 0.0506529 | − | 0.998716i | \(-0.483870\pi\) |
0.890240 | + | 0.455491i | \(0.150536\pi\) | |||||||
\(824\) | 6.44734 | + | 50.7978i | 0.224604 | + | 1.76963i | ||||
\(825\) | 10.2841 | + | 35.8304i | 0.358045 | + | 1.24746i | ||||
\(826\) | 1.04181 | − | 7.81957i | 0.0362491 | − | 0.272078i | ||||
\(827\) | 36.3732i | 1.26482i | 0.774634 | + | 0.632410i | \(0.217934\pi\) | ||||
−0.774634 | + | 0.632410i | \(0.782066\pi\) | |||||||
\(828\) | 7.48995 | − | 32.0629i | 0.260294 | − | 1.11426i | ||||
\(829\) | 47.9890i | 1.66673i | 0.552726 | + | 0.833363i | \(0.313588\pi\) | ||||
−0.552726 | + | 0.833363i | \(0.686412\pi\) | |||||||
\(830\) | −6.81533 | − | 0.908012i | −0.236564 | − | 0.0315175i | ||||
\(831\) | 1.79866 | − | 1.86351i | 0.0623947 | − | 0.0646444i | ||||
\(832\) | −3.04300 | − | 0.845799i | −0.105497 | − | 0.0293228i | ||||
\(833\) | 2.68415 | − | 1.54969i | 0.0930002 | − | 0.0536937i | ||||
\(834\) | −7.92330 | − | 53.4905i | −0.274362 | − | 1.85222i | ||||
\(835\) | −30.5747 | + | 52.9569i | −1.05808 | + | 1.83265i | ||||
\(836\) | 9.19703 | + | 9.25426i | 0.318086 | + | 0.320065i | ||||
\(837\) | 4.16126 | − | 19.6509i | 0.143834 | − | 0.679233i | ||||
\(838\) | −7.21767 | − | 17.5017i | −0.249330 | − | 0.604587i | ||||
\(839\) | 4.62312 | − | 8.00747i | 0.159608 | − | 0.276449i | −0.775120 | − | 0.631815i | \(-0.782310\pi\) |
0.934727 | + | 0.355366i | \(0.115644\pi\) | |||||||
\(840\) | 19.8527 | − | 26.5840i | 0.684982 | − | 0.917234i | ||||
\(841\) | −2.98420 | − | 5.16878i | −0.102903 | − | 0.178234i | ||||
\(842\) | 23.8893 | − | 31.0333i | 0.823279 | − | 1.06948i | ||||
\(843\) | −13.0556 | + | 13.5263i | −0.449659 | + | 0.465872i | ||||
\(844\) | −1.39752 | − | 5.28108i | −0.0481045 | − | 0.181782i | ||||
\(845\) | −41.3418 | −1.42220 | ||||||||
\(846\) | −2.78253 | − | 6.12261i | −0.0956652 | − | 0.210500i | ||||
\(847\) | − | 10.7758i | − | 0.370260i | ||||||
\(848\) | 24.4128 | + | 14.2974i | 0.838339 | + | 0.490975i | ||||
\(849\) | −40.1646 | + | 11.5281i | −1.37845 | + | 0.395642i | ||||
\(850\) | −5.57076 | + | 7.23668i | −0.191075 | + | 0.248216i | ||||
\(851\) | −51.4193 | + | 29.6870i | −1.76263 | + | 1.01766i | ||||
\(852\) | −4.54876 | + | 8.15134i | −0.155838 | + | 0.279260i | ||||
\(853\) | −13.1396 | − | 7.58616i | −0.449892 | − | 0.259745i | 0.257893 | − | 0.966174i | \(-0.416972\pi\) |
−0.707785 | + | 0.706428i | \(0.750305\pi\) | |||||||
\(854\) | −26.0038 | + | 10.7239i | −0.889833 | + | 0.366965i | ||||
\(855\) | 0.555503 | + | 15.6790i | 0.0189978 | + | 0.536210i | ||||
\(856\) | −32.3325 | − | 13.5692i | −1.10510 | − | 0.463784i | ||||
\(857\) | −24.4191 | − | 14.0984i | −0.834140 | − | 0.481591i | 0.0211282 | − | 0.999777i | \(-0.493274\pi\) |
−0.855268 | + | 0.518186i | \(0.826608\pi\) | |||||||
\(858\) | −3.61079 | − | 1.42774i | −0.123270 | − | 0.0487422i | ||||
\(859\) | −3.33845 | − | 5.78236i | −0.113906 | − | 0.197292i | 0.803436 | − | 0.595392i | \(-0.203003\pi\) |
−0.917342 | + | 0.398100i | \(0.869670\pi\) | |||||||
\(860\) | 15.1059 | + | 4.09789i | 0.515109 | + | 0.139737i | ||||
\(861\) | 1.25958 | − | 5.05737i | 0.0429263 | − | 0.172355i | ||||
\(862\) | −5.46393 | + | 41.0110i | −0.186102 | + | 1.39684i | ||||
\(863\) | −54.3136 | −1.84885 | −0.924427 | − | 0.381358i | \(-0.875457\pi\) | ||||
−0.924427 | + | 0.381358i | \(0.875457\pi\) | |||||||
\(864\) | 5.15438 | + | 28.9384i | 0.175356 | + | 0.984505i | ||||
\(865\) | 8.13386 | 0.276559 | ||||||||
\(866\) | 0.481401 | − | 3.61329i | 0.0163587 | − | 0.122785i | ||||
\(867\) | 6.50855 | − | 26.1327i | 0.221042 | − | 0.887512i | ||||
\(868\) | −15.7003 | − | 4.25912i | −0.532902 | − | 0.144564i | ||||
\(869\) | −3.56063 | − | 6.16719i | −0.120786 | − | 0.209208i | ||||
\(870\) | 43.3564 | + | 17.1435i | 1.46992 | + | 0.581220i | ||||
\(871\) | −1.78437 | − | 1.03020i | −0.0604610 | − | 0.0349071i | ||||
\(872\) | −4.59422 | − | 1.92808i | −0.155580 | − | 0.0652931i | ||||
\(873\) | −29.7478 | + | 18.6095i | −1.00681 | + | 0.629837i | ||||
\(874\) | 11.6569 | − | 4.80727i | 0.394300 | − | 0.162608i | ||||
\(875\) | 2.11274 | + | 1.21979i | 0.0714238 | + | 0.0412365i | ||||
\(876\) | −16.0306 | + | 28.7267i | −0.541624 | + | 0.970587i | ||||
\(877\) | 5.70769 | − | 3.29534i | 0.192735 | − | 0.111276i | −0.400527 | − | 0.916285i | \(-0.631173\pi\) |
0.593262 | + | 0.805009i | \(0.297840\pi\) | |||||||
\(878\) | 24.3807 | − | 31.6717i | 0.822808 | − | 1.06887i | ||||
\(879\) | −11.7882 | + | 3.38346i | −0.397607 | + | 0.114121i | ||||
\(880\) | −26.1245 | + | 44.6075i | −0.880656 | + | 1.50372i | ||||
\(881\) | − | 15.5607i | − | 0.524252i | −0.965034 | − | 0.262126i | \(-0.915576\pi\) | ||
0.965034 | − | 0.262126i | \(-0.0844236\pi\) | |||||||
\(882\) | 10.8635 | + | 1.05747i | 0.365794 | + | 0.0356069i | ||||
\(883\) | 41.6548 | 1.40180 | 0.700898 | − | 0.713262i | \(-0.252783\pi\) | ||||
0.700898 | + | 0.713262i | \(0.252783\pi\) | |||||||
\(884\) | −0.243350 | − | 0.919597i | −0.00818476 | − | 0.0309294i | ||||
\(885\) | −10.2641 | + | 10.6341i | −0.345022 | + | 0.357463i | ||||
\(886\) | −23.2591 | + | 30.2147i | −0.781406 | + | 1.01508i | ||||
\(887\) | 26.8247 | + | 46.4617i | 0.900684 | + | 1.56003i | 0.826608 | + | 0.562779i | \(0.190268\pi\) |
0.0740769 | + | 0.997253i | \(0.476399\pi\) | |||||||
\(888\) | 31.7154 | − | 42.4689i | 1.06430 | − | 1.42516i | ||||
\(889\) | −2.20098 | + | 3.81221i | −0.0738186 | + | 0.127858i | ||||
\(890\) | −19.4930 | − | 47.2675i | −0.653407 | − | 1.58441i | ||||
\(891\) | 2.55739 | + | 36.0456i | 0.0856756 | + | 1.20757i | ||||
\(892\) | −21.8166 | − | 21.9524i | −0.730474 | − | 0.735020i | ||||
\(893\) | 1.28773 | − | 2.23042i | 0.0430923 | − | 0.0746381i | ||||
\(894\) | −0.0601685 | − | 0.406200i | −0.00201234 | − | 0.0135854i | ||||
\(895\) | 30.6520 | − | 17.6970i | 1.02458 | − | 0.591544i | ||||
\(896\) | 23.6341 | − | 2.85080i | 0.789561 | − | 0.0952387i | ||||
\(897\) | −2.60602 | + | 2.69999i | −0.0870126 | + | 0.0901500i | ||||
\(898\) | −32.8729 | − | 4.37968i | −1.09698 | − | 0.146152i | ||||
\(899\) | − | 22.8593i | − | 0.762400i | ||||||
\(900\) | −30.7803 | + | 9.32325i | −1.02601 | + | 0.310775i | ||||
\(901\) | 8.52093i | 0.283873i | ||||||||
\(902\) | −1.07241 | + | 8.04924i | −0.0357072 | + | 0.268010i | ||||
\(903\) | −2.44460 | − | 8.51717i | −0.0813512 | − | 0.283434i | ||||
\(904\) | −6.49483 | − | 51.1720i | −0.216015 | − | 1.70195i | ||||
\(905\) | −39.9800 | + | 23.0824i | −1.32898 | + | 0.767286i | ||||
\(906\) | 29.0401 | + | 36.6058i | 0.964793 | + | 1.21615i | ||||
\(907\) | −2.86449 | + | 4.96144i | −0.0951139 | + | 0.164742i | −0.909656 | − | 0.415362i | \(-0.863655\pi\) |
0.814542 | + | 0.580104i | \(0.196988\pi\) | |||||||
\(908\) | −22.7170 | − | 22.8584i | −0.753891 | − | 0.758583i | ||||
\(909\) | −10.3518 | + | 6.47585i | −0.343348 | + | 0.214790i | ||||
\(910\) | −3.49572 | + | 1.44162i | −0.115882 | + | 0.0477894i | ||||
\(911\) | 21.2846 | − | 36.8661i | 0.705192 | − | 1.22143i | −0.261430 | − | 0.965222i | \(-0.584194\pi\) |
0.966622 | − | 0.256206i | \(-0.0824725\pi\) | |||||||
\(912\) | −7.86749 | + | 8.05061i | −0.260519 | + | 0.266582i | ||||
\(913\) | −3.03234 | − | 5.25216i | −0.100356 | − | 0.173821i | ||||
\(914\) | 18.0660 | + | 13.9071i | 0.597571 | + | 0.460007i | ||||
\(915\) | 51.1369 | + | 12.7360i | 1.69053 | + | 0.421041i | ||||
\(916\) | 21.4337 | − | 5.67193i | 0.708189 | − | 0.187406i | ||||
\(917\) | 2.56222 | 0.0846119 | ||||||||
\(918\) | −6.73640 | + | 5.74425i | −0.222334 | + | 0.189589i | ||||
\(919\) | − | 40.3722i | − | 1.33175i | −0.746061 | − | 0.665877i | \(-0.768057\pi\) | ||
0.746061 | − | 0.665877i | \(-0.231943\pi\) | |||||||
\(920\) | 30.2287 | + | 39.7767i | 0.996611 | + | 1.31140i | ||||
\(921\) | 5.40205 | − | 21.6899i | 0.178004 | − | 0.714707i | ||||
\(922\) | 11.5331 | + | 8.87810i | 0.379822 | + | 0.292385i | ||||
\(923\) | 0.921317 | − | 0.531923i | 0.0303255 | − | 0.0175085i | ||||
\(924\) | 29.2628 | − | 0.427425i | 0.962674 | − | 0.0140612i | ||||
\(925\) | 50.2249 | + | 28.9974i | 1.65139 | + | 0.953428i | ||||
\(926\) | 13.9005 | + | 33.7066i | 0.456799 | + | 1.10767i | ||||
\(927\) | −54.2774 | + | 1.92304i | −1.78270 | + | 0.0631609i | ||||
\(928\) | 12.5612 | + | 31.0033i | 0.412341 | + | 1.01773i | ||||
\(929\) | 7.87141 | + | 4.54456i | 0.258253 | + | 0.149102i | 0.623537 | − | 0.781794i | \(-0.285695\pi\) |
−0.365285 | + | 0.930896i | \(0.619028\pi\) | |||||||
\(930\) | 18.9420 | + | 23.8768i | 0.621132 | + | 0.782952i | ||||
\(931\) | 2.08995 | + | 3.61991i | 0.0684955 | + | 0.118638i | ||||
\(932\) | −4.69458 | + | 17.3055i | −0.153776 | + | 0.566860i | ||||
\(933\) | −26.2829 | + | 7.54374i | −0.860465 | + | 0.246971i | ||||
\(934\) | 15.1551 | + | 2.01912i | 0.495890 | + | 0.0660677i | ||||
\(935\) | −15.5696 | −0.509180 | ||||||||
\(936\) | 1.18617 | − | 3.13291i | 0.0387712 | − | 0.102402i | ||||
\(937\) | 5.39574 | 0.176271 | 0.0881355 | − | 0.996108i | \(-0.471909\pi\) | ||||
0.0881355 | + | 0.996108i | \(0.471909\pi\) | |||||||
\(938\) | 15.3939 | + | 2.05094i | 0.502628 | + | 0.0669655i | ||||
\(939\) | −5.14359 | − | 4.96458i | −0.167855 | − | 0.162013i | ||||
\(940\) | 9.84841 | + | 2.67164i | 0.321220 | + | 0.0871394i | ||||
\(941\) | −22.2304 | − | 38.5041i | −0.724689 | − | 1.25520i | −0.959102 | − | 0.283061i | \(-0.908650\pi\) |
0.234413 | − | 0.972137i | \(-0.424683\pi\) | |||||||
\(942\) | 37.3696 | − | 5.53539i | 1.21757 | − | 0.180353i | ||||
\(943\) | 6.79643 | + | 3.92392i | 0.221322 | + | 0.127780i | ||||
\(944\) | −10.6040 | − | 0.0657899i | −0.345130 | − | 0.00214128i | ||||
\(945\) | 26.1703 | + | 23.5278i | 0.851321 | + | 0.765358i | ||||
\(946\) | 5.26353 | + | 12.7633i | 0.171132 | + | 0.414969i | ||||
\(947\) | −53.2162 | − | 30.7244i | −1.72930 | − | 0.998409i | −0.892841 | − | 0.450372i | \(-0.851292\pi\) |
−0.836454 | − | 0.548037i | \(-0.815375\pi\) | |||||||
\(948\) | 5.27539 | − | 3.14936i | 0.171337 | − | 0.102286i | ||||
\(949\) | 3.24688 | − | 1.87459i | 0.105398 | − | 0.0608517i | ||||
\(950\) | −9.75956 | − | 7.51286i | −0.316642 | − | 0.243749i | ||||
\(951\) | −18.8989 | − | 18.2412i | −0.612839 | − | 0.591511i | ||||
\(952\) | 4.33821 | + | 5.70847i | 0.140602 | + | 0.185013i | ||||
\(953\) | 22.6195i | 0.732716i | 0.930474 | + | 0.366358i | \(0.119395\pi\) | ||||
−0.930474 | + | 0.366358i | \(0.880605\pi\) | |||||||
\(954\) | −17.4509 | + | 24.4114i | −0.564994 | + | 0.790348i | ||||
\(955\) | −1.52615 | −0.0493850 | ||||||||
\(956\) | −11.8884 | − | 44.9252i | −0.384499 | − | 1.45298i | ||||
\(957\) | 11.3454 | + | 39.5283i | 0.366746 | + | 1.27777i | ||||
\(958\) | 13.8099 | + | 10.6308i | 0.446179 | + | 0.343466i | ||||
\(959\) | −7.53716 | − | 13.0547i | −0.243388 | − | 0.421560i | ||||
\(960\) | −38.8107 | − | 21.9747i | −1.25261 | − | 0.709231i | ||||
\(961\) | −8.02829 | + | 13.9054i | −0.258977 | + | 0.448562i | ||||
\(962\) | −5.58453 | + | 2.30305i | −0.180053 | + | 0.0742532i | ||||
\(963\) | 17.4436 | − | 32.8469i | 0.562112 | − | 1.05848i | ||||
\(964\) | 12.1321 | − | 12.0570i | 0.390748 | − | 0.388331i | ||||
\(965\) | 34.3449 | − | 59.4871i | 1.10560 | − | 1.91496i | ||||
\(966\) | 10.4001 | − | 26.3022i | 0.334619 | − | 0.846259i | ||||
\(967\) | −23.8616 | + | 13.7765i | −0.767337 | + | 0.443022i | −0.831924 | − | 0.554890i | \(-0.812760\pi\) |
0.0645868 | + | 0.997912i | \(0.479427\pi\) | |||||||
\(968\) | −14.3698 | + | 1.82384i | −0.461864 | + | 0.0586205i | ||||
\(969\) | −3.28980 | − | 0.819352i | −0.105684 | − | 0.0263214i | ||||
\(970\) | 7.03128 | − | 52.7752i | 0.225761 | − | 1.69451i | ||||
\(971\) | 23.4973i | 0.754064i | 0.926200 | + | 0.377032i | \(0.123055\pi\) | ||||
−0.926200 | + | 0.377032i | \(0.876945\pi\) | |||||||
\(972\) | −31.0632 | + | 2.66037i | −0.996353 | + | 0.0853315i | ||||
\(973\) | − | 46.4500i | − | 1.48912i | ||||||
\(974\) | −10.6916 | − | 1.42445i | −0.342581 | − | 0.0456423i | ||||
\(975\) | 3.55669 | + | 0.885822i | 0.113905 | + | 0.0283690i | ||||
\(976\) | 18.7019 | + | 32.8619i | 0.598635 | + | 1.05188i | ||||
\(977\) | 26.2982 | − | 15.1832i | 0.841353 | − | 0.485755i | −0.0163711 | − | 0.999866i | \(-0.505211\pi\) |
0.857724 | + | 0.514111i | \(0.171878\pi\) | |||||||
\(978\) | 11.4943 | + | 4.54496i | 0.367548 | + | 0.145332i | ||||
\(979\) | 22.5496 | − | 39.0571i | 0.720689 | − | 1.24827i | ||||
\(980\) | −11.7469 | + | 11.6743i | −0.375242 | + | 0.372921i | ||||
\(981\) | 2.47862 | − | 4.66732i | 0.0791361 | − | 0.149016i | ||||
\(982\) | −13.7671 | − | 33.3831i | −0.439326 | − | 1.06530i | ||||
\(983\) | 15.6881 | − | 27.1725i | 0.500372 | − | 0.866669i | −0.499628 | − | 0.866240i | \(-0.666530\pi\) |
1.00000 | 0.000429288i | \(-0.000136646\pi\) | ||||||||
\(984\) | −6.95735 | − | 0.823708i | −0.221792 | − | 0.0262588i | ||||
\(985\) | −34.4960 | − | 59.7489i | −1.09914 | − | 1.90376i | ||||
\(986\) | −6.14568 | + | 7.98353i | −0.195718 | + | 0.254248i | ||||
\(987\) | −1.59377 | − | 5.55281i | −0.0507303 | − | 0.176748i | ||||
\(988\) | 1.24019 | − | 0.328188i | 0.0394557 | − | 0.0104411i | ||||
\(989\) | 13.3427 | 0.424272 | ||||||||
\(990\) | −44.6049 | − | 31.8866i | −1.41764 | − | 1.01342i | ||||
\(991\) | 19.2702i | 0.612138i | 0.952009 | + | 0.306069i | \(0.0990138\pi\) | ||||
−0.952009 | + | 0.306069i | \(0.900986\pi\) | |||||||
\(992\) | −3.02234 | + | 21.6577i | −0.0959593 | + | 0.687632i | ||||
\(993\) | −17.6872 | − | 17.0716i | −0.561285 | − | 0.541751i | ||||
\(994\) | −4.89122 | + | 6.35393i | −0.155140 | + | 0.201534i | ||||
\(995\) | 16.9992 | − | 9.81447i | 0.538910 | − | 0.311140i | ||||
\(996\) | 4.49268 | − | 2.68209i | 0.142356 | − | 0.0849852i | ||||
\(997\) | 44.0083 | + | 25.4082i | 1.39376 | + | 0.804687i | 0.993729 | − | 0.111816i | \(-0.0356667\pi\) |
0.400029 | + | 0.916502i | \(0.369000\pi\) | |||||||
\(998\) | −14.6128 | + | 6.02629i | −0.462561 | + | 0.190759i | ||||
\(999\) | 41.8081 | + | 37.5864i | 1.32275 | + | 1.18918i |
(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 | 72.2.l.b.11.5 | yes | 16 | |
3.2 | odd | 2 | 216.2.l.b.35.4 | 16 | |||
4.3 | odd | 2 | 288.2.p.b.47.4 | 16 | |||
8.3 | odd | 2 | inner | 72.2.l.b.11.2 | ✓ | 16 | |
8.5 | even | 2 | 288.2.p.b.47.3 | 16 | |||
9.2 | odd | 6 | 648.2.f.b.323.13 | 16 | |||
9.4 | even | 3 | 216.2.l.b.179.7 | 16 | |||
9.5 | odd | 6 | inner | 72.2.l.b.59.2 | yes | 16 | |
9.7 | even | 3 | 648.2.f.b.323.4 | 16 | |||
12.11 | even | 2 | 864.2.p.b.143.2 | 16 | |||
24.5 | odd | 2 | 864.2.p.b.143.7 | 16 | |||
24.11 | even | 2 | 216.2.l.b.35.7 | 16 | |||
36.7 | odd | 6 | 2592.2.f.b.1295.3 | 16 | |||
36.11 | even | 6 | 2592.2.f.b.1295.13 | 16 | |||
36.23 | even | 6 | 288.2.p.b.239.3 | 16 | |||
36.31 | odd | 6 | 864.2.p.b.719.7 | 16 | |||
72.5 | odd | 6 | 288.2.p.b.239.4 | 16 | |||
72.11 | even | 6 | 648.2.f.b.323.3 | 16 | |||
72.13 | even | 6 | 864.2.p.b.719.2 | 16 | |||
72.29 | odd | 6 | 2592.2.f.b.1295.4 | 16 | |||
72.43 | odd | 6 | 648.2.f.b.323.14 | 16 | |||
72.59 | even | 6 | inner | 72.2.l.b.59.5 | yes | 16 | |
72.61 | even | 6 | 2592.2.f.b.1295.14 | 16 | |||
72.67 | odd | 6 | 216.2.l.b.179.4 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
72.2.l.b.11.2 | ✓ | 16 | 8.3 | odd | 2 | inner | |
72.2.l.b.11.5 | yes | 16 | 1.1 | even | 1 | trivial | |
72.2.l.b.59.2 | yes | 16 | 9.5 | odd | 6 | inner | |
72.2.l.b.59.5 | yes | 16 | 72.59 | even | 6 | inner | |
216.2.l.b.35.4 | 16 | 3.2 | odd | 2 | |||
216.2.l.b.35.7 | 16 | 24.11 | even | 2 | |||
216.2.l.b.179.4 | 16 | 72.67 | odd | 6 | |||
216.2.l.b.179.7 | 16 | 9.4 | even | 3 | |||
288.2.p.b.47.3 | 16 | 8.5 | even | 2 | |||
288.2.p.b.47.4 | 16 | 4.3 | odd | 2 | |||
288.2.p.b.239.3 | 16 | 36.23 | even | 6 | |||
288.2.p.b.239.4 | 16 | 72.5 | odd | 6 | |||
648.2.f.b.323.3 | 16 | 72.11 | even | 6 | |||
648.2.f.b.323.4 | 16 | 9.7 | even | 3 | |||
648.2.f.b.323.13 | 16 | 9.2 | odd | 6 | |||
648.2.f.b.323.14 | 16 | 72.43 | odd | 6 | |||
864.2.p.b.143.2 | 16 | 12.11 | even | 2 | |||
864.2.p.b.143.7 | 16 | 24.5 | odd | 2 | |||
864.2.p.b.719.2 | 16 | 72.13 | even | 6 | |||
864.2.p.b.719.7 | 16 | 36.31 | odd | 6 | |||
2592.2.f.b.1295.3 | 16 | 36.7 | odd | 6 | |||
2592.2.f.b.1295.4 | 16 | 72.29 | odd | 6 | |||
2592.2.f.b.1295.13 | 16 | 36.11 | even | 6 | |||
2592.2.f.b.1295.14 | 16 | 72.61 | even | 6 |