Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(55,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.x (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 223.4 | ||
Character | \(\chi\) | \(=\) | 588.223 |
Dual form | 588.2.x.b.559.4 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25944 | − | 0.643281i | −0.890559 | − | 0.454868i | ||||
\(3\) | 0.222521 | − | 0.974928i | 0.128473 | − | 0.562875i | ||||
\(4\) | 1.17238 | + | 1.62035i | 0.586190 | + | 0.810174i | ||||
\(5\) | 0.631969 | + | 0.144243i | 0.282625 | + | 0.0645073i | 0.361483 | − | 0.932379i | \(-0.382270\pi\) |
−0.0788585 | + | 0.996886i | \(0.525128\pi\) | |||||||
\(6\) | −0.907404 | + | 1.08472i | −0.370446 | + | 0.442835i | ||||
\(7\) | −2.32235 | + | 1.26755i | −0.877765 | + | 0.479091i | ||||
\(8\) | −0.434204 | − | 2.79490i | −0.153514 | − | 0.988146i | ||||
\(9\) | −0.900969 | − | 0.433884i | −0.300323 | − | 0.144628i | ||||
\(10\) | −0.703138 | − | 0.588198i | −0.222352 | − | 0.186005i | ||||
\(11\) | 2.50272 | + | 5.19695i | 0.754598 | + | 1.56694i | 0.822181 | + | 0.569226i | \(0.192757\pi\) |
−0.0675831 | + | 0.997714i | \(0.521529\pi\) | |||||||
\(12\) | 1.84060 | − | 0.782424i | 0.531336 | − | 0.225866i | ||||
\(13\) | −2.15619 | − | 4.47737i | −0.598018 | − | 1.24180i | −0.951872 | − | 0.306497i | \(-0.900843\pi\) |
0.353853 | − | 0.935301i | \(-0.384871\pi\) | |||||||
\(14\) | 3.74025 | − | 0.102487i | 0.999625 | − | 0.0273909i | ||||
\(15\) | 0.281252 | − | 0.584027i | 0.0726191 | − | 0.150795i | ||||
\(16\) | −1.25105 | + | 3.79932i | −0.312763 | + | 0.949831i | ||||
\(17\) | 6.08020 | − | 4.84880i | 1.47467 | − | 1.17601i | 0.529989 | − | 0.848004i | \(-0.322196\pi\) |
0.944677 | − | 0.328002i | \(-0.106375\pi\) | |||||||
\(18\) | 0.855607 | + | 1.12603i | 0.201669 | + | 0.265407i | ||||
\(19\) | 5.84701 | 1.34140 | 0.670699 | − | 0.741730i | \(-0.265994\pi\) | ||||
0.670699 | + | 0.741730i | \(0.265994\pi\) | |||||||
\(20\) | 0.507184 | + | 1.19312i | 0.113410 | + | 0.266789i | ||||
\(21\) | 0.719004 | + | 2.54618i | 0.156899 | + | 0.555622i | ||||
\(22\) | 0.191073 | − | 8.15520i | 0.0407369 | − | 1.73869i | ||||
\(23\) | 2.05670 | + | 1.64016i | 0.428852 | + | 0.341998i | 0.814008 | − | 0.580854i | \(-0.197281\pi\) |
−0.385157 | + | 0.922851i | \(0.625853\pi\) | |||||||
\(24\) | −2.82145 | − | 0.198607i | −0.575925 | − | 0.0405404i | ||||
\(25\) | −4.12627 | − | 1.98711i | −0.825253 | − | 0.397421i | ||||
\(26\) | −0.164616 | + | 7.02601i | −0.0322839 | + | 1.37791i | ||||
\(27\) | −0.623490 | + | 0.781831i | −0.119991 | + | 0.150464i | ||||
\(28\) | −4.77655 | − | 2.27696i | −0.902684 | − | 0.430304i | ||||
\(29\) | 4.35629 | + | 5.46261i | 0.808942 | + | 1.01438i | 0.999465 | + | 0.0326988i | \(0.0104102\pi\) |
−0.190523 | + | 0.981683i | \(0.561018\pi\) | |||||||
\(30\) | −0.729914 | + | 0.554622i | −0.133263 | + | 0.101260i | ||||
\(31\) | 4.28595 | 0.769780 | 0.384890 | − | 0.922962i | \(-0.374239\pi\) | ||||
0.384890 | + | 0.922962i | \(0.374239\pi\) | |||||||
\(32\) | 4.01966 | − | 3.98024i | 0.710582 | − | 0.703614i | ||||
\(33\) | 5.62356 | − | 1.28354i | 0.978936 | − | 0.223436i | ||||
\(34\) | −10.7768 | + | 2.19550i | −1.84820 | + | 0.376525i | ||||
\(35\) | −1.65049 | + | 0.466073i | −0.278983 | + | 0.0787807i | ||||
\(36\) | −0.353235 | − | 1.96856i | −0.0588725 | − | 0.328093i | ||||
\(37\) | 1.37172 | + | 1.72009i | 0.225510 | + | 0.282780i | 0.881695 | − | 0.471819i | \(-0.156403\pi\) |
−0.656185 | + | 0.754600i | \(0.727831\pi\) | |||||||
\(38\) | −7.36397 | − | 3.76127i | −1.19459 | − | 0.610159i | ||||
\(39\) | −4.84491 | + | 1.10582i | −0.775806 | + | 0.177073i | ||||
\(40\) | 0.128741 | − | 1.82892i | 0.0203557 | − | 0.289178i | ||||
\(41\) | 7.63070 | + | 1.74166i | 1.19171 | + | 0.272001i | 0.771981 | − | 0.635646i | \(-0.219266\pi\) |
0.419734 | + | 0.907647i | \(0.362123\pi\) | |||||||
\(42\) | 0.732367 | − | 3.66928i | 0.113007 | − | 0.566183i | ||||
\(43\) | 0.773614 | − | 0.176572i | 0.117975 | − | 0.0269270i | −0.163126 | − | 0.986605i | \(-0.552158\pi\) |
0.281101 | + | 0.959678i | \(0.409300\pi\) | |||||||
\(44\) | −5.48673 | + | 10.1481i | −0.827155 | + | 1.52988i | ||||
\(45\) | −0.506799 | − | 0.404159i | −0.0755492 | − | 0.0602485i | ||||
\(46\) | −1.53520 | − | 3.38872i | −0.226354 | − | 0.499640i | ||||
\(47\) | −0.374839 | + | 0.180513i | −0.0546758 | + | 0.0263305i | −0.461022 | − | 0.887389i | \(-0.652517\pi\) |
0.406346 | + | 0.913719i | \(0.366803\pi\) | |||||||
\(48\) | 3.42568 | + | 2.06512i | 0.494455 | + | 0.298074i | ||||
\(49\) | 3.78661 | − | 5.88741i | 0.540944 | − | 0.841059i | ||||
\(50\) | 3.91852 | + | 5.15699i | 0.554162 | + | 0.729308i | ||||
\(51\) | −3.37426 | − | 7.00672i | −0.472491 | − | 0.981137i | ||||
\(52\) | 4.72702 | − | 8.74294i | 0.655520 | − | 1.21243i | ||||
\(53\) | 2.35778 | − | 2.95656i | 0.323866 | − | 0.406115i | −0.593069 | − | 0.805152i | \(-0.702084\pi\) |
0.916935 | + | 0.399036i | \(0.130655\pi\) | |||||||
\(54\) | 1.28819 | − | 0.583591i | 0.175300 | − | 0.0794167i | ||||
\(55\) | 0.832018 | + | 3.64531i | 0.112189 | + | 0.491533i | ||||
\(56\) | 4.55106 | + | 5.94036i | 0.608161 | + | 0.793814i | ||||
\(57\) | 1.30108 | − | 5.70042i | 0.172333 | − | 0.755039i | ||||
\(58\) | −1.97249 | − | 9.68215i | −0.259001 | − | 1.27133i | ||||
\(59\) | −1.21566 | − | 5.32614i | −0.158265 | − | 0.693404i | −0.990331 | − | 0.138727i | \(-0.955699\pi\) |
0.832066 | − | 0.554677i | \(-0.187158\pi\) | |||||||
\(60\) | 1.27606 | − | 0.228974i | 0.164739 | − | 0.0295605i | ||||
\(61\) | −3.31715 | + | 2.64534i | −0.424717 | + | 0.338701i | −0.812409 | − | 0.583089i | \(-0.801844\pi\) |
0.387691 | + | 0.921789i | \(0.373273\pi\) | |||||||
\(62\) | −5.39790 | − | 2.75707i | −0.685534 | − | 0.350148i | ||||
\(63\) | 2.64234 | − | 0.134398i | 0.332903 | − | 0.0169326i | ||||
\(64\) | −7.62293 | + | 2.42711i | −0.952867 | + | 0.303389i | ||||
\(65\) | −0.716814 | − | 3.14057i | −0.0889099 | − | 0.389540i | ||||
\(66\) | −7.90821 | − | 2.00098i | −0.973434 | − | 0.246304i | ||||
\(67\) | − | 12.1250i | − | 1.48131i | −0.671888 | − | 0.740653i | \(-0.734516\pi\) | ||
0.671888 | − | 0.740653i | \(-0.265484\pi\) | |||||||
\(68\) | 14.9850 | + | 4.16741i | 1.81720 | + | 0.505372i | ||||
\(69\) | 2.05670 | − | 1.64016i | 0.247598 | − | 0.197452i | ||||
\(70\) | 2.37851 | + | 0.474735i | 0.284286 | + | 0.0567417i | ||||
\(71\) | −3.04045 | − | 2.42468i | −0.360835 | − | 0.287757i | 0.426244 | − | 0.904608i | \(-0.359836\pi\) |
−0.787079 | + | 0.616852i | \(0.788408\pi\) | |||||||
\(72\) | −0.821458 | + | 2.70651i | −0.0968097 | + | 0.318965i | ||||
\(73\) | −2.91550 | + | 6.05409i | −0.341233 | + | 0.708578i | −0.999003 | − | 0.0446409i | \(-0.985786\pi\) |
0.657770 | + | 0.753219i | \(0.271500\pi\) | |||||||
\(74\) | −0.621104 | − | 3.04875i | −0.0722019 | − | 0.354410i | ||||
\(75\) | −2.85546 | + | 3.58064i | −0.329721 | + | 0.413457i | ||||
\(76\) | 6.85492 | + | 9.47419i | 0.786313 | + | 1.08676i | ||||
\(77\) | −12.3996 | − | 8.89680i | −1.41307 | − | 1.01388i | ||||
\(78\) | 6.81322 | + | 1.72392i | 0.771445 | + | 0.195196i | ||||
\(79\) | − | 2.62443i | − | 0.295272i | −0.989042 | − | 0.147636i | \(-0.952834\pi\) | ||
0.989042 | − | 0.147636i | \(-0.0471664\pi\) | |||||||
\(80\) | −1.33865 | + | 2.22060i | −0.149666 | + | 0.248270i | ||||
\(81\) | 0.623490 | + | 0.781831i | 0.0692766 | + | 0.0868702i | ||||
\(82\) | −8.49003 | − | 7.10219i | −0.937567 | − | 0.784306i | ||||
\(83\) | 5.45244 | + | 2.62576i | 0.598483 | + | 0.288214i | 0.708495 | − | 0.705716i | \(-0.249374\pi\) |
−0.110011 | + | 0.993930i | \(0.535089\pi\) | |||||||
\(84\) | −3.28275 | + | 4.15013i | −0.358178 | + | 0.452816i | ||||
\(85\) | 4.54190 | − | 2.18726i | 0.492638 | − | 0.237242i | ||||
\(86\) | −1.08791 | − | 0.275269i | −0.117312 | − | 0.0296830i | ||||
\(87\) | 6.29502 | − | 3.03152i | 0.674897 | − | 0.325013i | ||||
\(88\) | 13.4383 | − | 9.25138i | 1.43252 | − | 0.986201i | ||||
\(89\) | 3.02680 | − | 6.28522i | 0.320840 | − | 0.666232i | −0.676705 | − | 0.736254i | \(-0.736593\pi\) |
0.997545 | + | 0.0700222i | \(0.0223070\pi\) | |||||||
\(90\) | 0.378296 | + | 0.835029i | 0.0398759 | + | 0.0880197i | ||||
\(91\) | 10.6827 | + | 7.66492i | 1.11985 | + | 0.803502i | ||||
\(92\) | −0.246402 | + | 5.25546i | −0.0256892 | + | 0.547920i | ||||
\(93\) | 0.953714 | − | 4.17850i | 0.0988956 | − | 0.433290i | ||||
\(94\) | 0.588207 | + | 0.0137815i | 0.0606690 | + | 0.00142145i | ||||
\(95\) | 3.69513 | + | 0.843389i | 0.379112 | + | 0.0865299i | ||||
\(96\) | −2.98599 | − | 4.80456i | −0.304757 | − | 0.490364i | ||||
\(97\) | 2.58923i | 0.262897i | 0.991323 | + | 0.131448i | \(0.0419627\pi\) | ||||
−0.991323 | + | 0.131448i | \(0.958037\pi\) | |||||||
\(98\) | −8.55627 | + | 4.97899i | −0.864313 | + | 0.502954i | ||||
\(99\) | − | 5.76818i | − | 0.579724i | ||||||
\(100\) | −1.61775 | − | 9.01563i | −0.161775 | − | 0.901563i | ||||
\(101\) | −13.3061 | − | 3.03703i | −1.32401 | − | 0.302196i | −0.498649 | − | 0.866804i | \(-0.666170\pi\) |
−0.825359 | + | 0.564608i | \(0.809027\pi\) | |||||||
\(102\) | −0.257612 | + | 10.9951i | −0.0255073 | + | 1.08868i | ||||
\(103\) | −2.83292 | + | 12.4118i | −0.279136 | + | 1.22298i | 0.619752 | + | 0.784798i | \(0.287233\pi\) |
−0.898888 | + | 0.438178i | \(0.855624\pi\) | |||||||
\(104\) | −11.5776 | + | 7.97041i | −1.13527 | + | 0.781563i | ||||
\(105\) | 0.0871197 | + | 1.71282i | 0.00850201 | + | 0.167154i | ||||
\(106\) | −4.87138 | + | 2.20690i | −0.473151 | + | 0.214353i | ||||
\(107\) | −8.10270 | + | 16.8254i | −0.783317 | + | 1.62657i | −0.00396206 | + | 0.999992i | \(0.501261\pi\) |
−0.779355 | + | 0.626583i | \(0.784453\pi\) | |||||||
\(108\) | −1.99781 | − | 0.0936669i | −0.192239 | − | 0.00901310i | ||||
\(109\) | 11.5659 | − | 5.56987i | 1.10782 | − | 0.533496i | 0.211709 | − | 0.977333i | \(-0.432097\pi\) |
0.896108 | + | 0.443836i | \(0.146383\pi\) | |||||||
\(110\) | 1.29708 | − | 5.12627i | 0.123672 | − | 0.488771i | ||||
\(111\) | 1.98220 | − | 0.954575i | 0.188142 | − | 0.0906043i | ||||
\(112\) | −1.91047 | − | 10.4091i | −0.180523 | − | 0.983571i | ||||
\(113\) | 11.4005 | + | 5.49019i | 1.07247 | + | 0.516474i | 0.884902 | − | 0.465778i | \(-0.154225\pi\) |
0.187567 | + | 0.982252i | \(0.439940\pi\) | |||||||
\(114\) | −5.30561 | + | 6.34237i | −0.496915 | + | 0.594018i | ||||
\(115\) | 1.06319 | + | 1.33320i | 0.0991428 | + | 0.124321i | ||||
\(116\) | −3.74411 | + | 13.4630i | −0.347632 | + | 1.25000i | ||||
\(117\) | 4.96950i | 0.459431i | ||||||||
\(118\) | −1.89516 | + | 7.48996i | −0.174463 | + | 0.689506i | ||||
\(119\) | −7.97423 | + | 18.9676i | −0.730997 | + | 1.73876i | ||||
\(120\) | −1.75442 | − | 0.532486i | −0.160156 | − | 0.0486091i | ||||
\(121\) | −13.8863 | + | 17.4129i | −1.26239 | + | 1.58299i | ||||
\(122\) | 5.87944 | − | 1.19779i | 0.532300 | − | 0.108442i | ||||
\(123\) | 3.39598 | − | 7.05182i | 0.306205 | − | 0.635842i | ||||
\(124\) | 5.02476 | + | 6.94473i | 0.451237 | + | 0.623656i | ||||
\(125\) | −4.85504 | − | 3.87177i | −0.434248 | − | 0.346301i | ||||
\(126\) | −3.41432 | − | 1.53050i | −0.304172 | − | 0.136348i | ||||
\(127\) | −13.6588 | + | 10.8926i | −1.21203 | + | 0.966559i | −0.999943 | − | 0.0106930i | \(-0.996596\pi\) |
−0.212083 | + | 0.977252i | \(0.568025\pi\) | |||||||
\(128\) | 11.1619 | + | 1.84689i | 0.986586 | + | 0.163243i | ||||
\(129\) | − | 0.793509i | − | 0.0698646i | ||||||
\(130\) | −1.11748 | + | 4.41647i | −0.0980097 | + | 0.387350i | ||||
\(131\) | 1.54791 | + | 6.78184i | 0.135242 | + | 0.592532i | 0.996443 | + | 0.0842685i | \(0.0268554\pi\) |
−0.861201 | + | 0.508264i | \(0.830288\pi\) | |||||||
\(132\) | 8.67273 | + | 7.60732i | 0.754864 | + | 0.662132i | ||||
\(133\) | −13.5788 | + | 7.41141i | −1.17743 | + | 0.642651i | ||||
\(134\) | −7.79979 | + | 15.2707i | −0.673799 | + | 1.31919i | ||||
\(135\) | −0.506799 | + | 0.404159i | −0.0436183 | + | 0.0347845i | ||||
\(136\) | −16.1920 | − | 14.8882i | −1.38845 | − | 1.27665i | ||||
\(137\) | 0.0851294 | + | 0.372976i | 0.00727309 | + | 0.0318655i | 0.978434 | − | 0.206558i | \(-0.0662264\pi\) |
−0.971161 | + | 0.238424i | \(0.923369\pi\) | |||||||
\(138\) | −3.64538 | + | 0.742652i | −0.310315 | + | 0.0632188i | ||||
\(139\) | 0.265794 | − | 1.16452i | 0.0225444 | − | 0.0987734i | −0.962404 | − | 0.271622i | \(-0.912440\pi\) |
0.984948 | + | 0.172849i | \(0.0552971\pi\) | |||||||
\(140\) | −2.69020 | − | 2.12795i | −0.227363 | − | 0.179844i | ||||
\(141\) | 0.0925775 | + | 0.405609i | 0.00779643 | + | 0.0341584i | ||||
\(142\) | 2.26952 | + | 5.00960i | 0.190454 | + | 0.420397i | ||||
\(143\) | 17.8723 | − | 22.4112i | 1.49456 | − | 1.87412i | ||||
\(144\) | 2.77562 | − | 2.88026i | 0.231302 | − | 0.240022i | ||||
\(145\) | 1.96509 | + | 4.08056i | 0.163192 | + | 0.338872i | ||||
\(146\) | 7.56638 | − | 5.74928i | 0.626198 | − | 0.475814i | ||||
\(147\) | −4.89720 | − | 5.00174i | −0.403914 | − | 0.412537i | ||||
\(148\) | −1.17896 | + | 4.23926i | −0.0969097 | + | 0.348465i | ||||
\(149\) | 7.14131 | − | 3.43907i | 0.585039 | − | 0.281740i | −0.117859 | − | 0.993030i | \(-0.537603\pi\) |
0.702898 | + | 0.711290i | \(0.251889\pi\) | |||||||
\(150\) | 5.89964 | − | 2.67274i | 0.481704 | − | 0.218228i | ||||
\(151\) | −5.11299 | − | 4.07747i | −0.416089 | − | 0.331820i | 0.392966 | − | 0.919553i | \(-0.371449\pi\) |
−0.809055 | + | 0.587733i | \(0.800021\pi\) | |||||||
\(152\) | −2.53879 | − | 16.3418i | −0.205923 | − | 1.32550i | ||||
\(153\) | −7.58189 | + | 1.73052i | −0.612959 | + | 0.139904i | ||||
\(154\) | 9.89343 | + | 19.1814i | 0.797235 | + | 1.54568i | ||||
\(155\) | 2.70859 | + | 0.618218i | 0.217559 | + | 0.0496564i | ||||
\(156\) | −7.47188 | − | 6.55399i | −0.598229 | − | 0.524739i | ||||
\(157\) | −19.6947 | + | 4.49519i | −1.57181 | + | 0.358755i | −0.917583 | − | 0.397543i | \(-0.869863\pi\) |
−0.654227 | + | 0.756299i | \(0.727006\pi\) | |||||||
\(158\) | −1.68825 | + | 3.30532i | −0.134310 | + | 0.262957i | ||||
\(159\) | −2.35778 | − | 2.95656i | −0.186984 | − | 0.234471i | ||||
\(160\) | 3.11442 | − | 1.93558i | 0.246216 | − | 0.153021i | ||||
\(161\) | −6.85537 | − | 1.20205i | −0.540279 | − | 0.0947349i | ||||
\(162\) | −0.282311 | − | 1.38575i | −0.0221804 | − | 0.108875i | ||||
\(163\) | −15.3092 | + | 3.49423i | −1.19911 | + | 0.273690i | −0.775024 | − | 0.631932i | \(-0.782262\pi\) |
−0.424088 | + | 0.905621i | \(0.639405\pi\) | |||||||
\(164\) | 6.12398 | + | 14.4063i | 0.478203 | + | 1.12494i | ||||
\(165\) | 3.73905 | 0.291085 | ||||||||
\(166\) | −5.17793 | − | 6.81444i | −0.401885 | − | 0.528903i | ||||
\(167\) | −10.5238 | − | 13.1964i | −0.814352 | − | 1.02117i | −0.999262 | − | 0.0384102i | \(-0.987771\pi\) |
0.184910 | − | 0.982756i | \(-0.440801\pi\) | |||||||
\(168\) | 6.80413 | − | 3.11510i | 0.524950 | − | 0.240335i | ||||
\(169\) | −7.29230 | + | 9.14426i | −0.560946 | + | 0.703405i | ||||
\(170\) | −7.12728 | − | 0.166989i | −0.546637 | − | 0.0128075i | ||||
\(171\) | −5.26798 | − | 2.53692i | −0.402852 | − | 0.194003i | ||||
\(172\) | 1.19308 | + | 1.04651i | 0.0909713 | + | 0.0797959i | ||||
\(173\) | 12.0711 | + | 9.62641i | 0.917751 | + | 0.731882i | 0.963679 | − | 0.267062i | \(-0.0860530\pi\) |
−0.0459278 | + | 0.998945i | \(0.514624\pi\) | |||||||
\(174\) | −9.87832 | − | 0.231445i | −0.748873 | − | 0.0175458i | ||||
\(175\) | 12.1014 | − | 0.615518i | 0.914779 | − | 0.0465288i | ||||
\(176\) | −22.8759 | + | 3.00699i | −1.72434 | + | 0.226660i | ||||
\(177\) | −5.46311 | −0.410632 | ||||||||
\(178\) | −7.85524 | + | 5.96878i | −0.588775 | + | 0.447379i | ||||
\(179\) | 10.9788 | − | 8.75533i | 0.820596 | − | 0.654404i | −0.120436 | − | 0.992721i | \(-0.538429\pi\) |
0.941032 | + | 0.338317i | \(0.109858\pi\) | |||||||
\(180\) | 0.0607168 | − | 1.29502i | 0.00452557 | − | 0.0965250i | ||||
\(181\) | 5.33646 | − | 11.0813i | 0.396656 | − | 0.823664i | −0.603008 | − | 0.797735i | \(-0.706031\pi\) |
0.999664 | − | 0.0259290i | \(-0.00825438\pi\) | |||||||
\(182\) | −8.52356 | − | 16.5255i | −0.631808 | − | 1.22495i | ||||
\(183\) | 1.84088 | + | 3.82262i | 0.136082 | + | 0.282576i | ||||
\(184\) | 3.69107 | − | 6.46044i | 0.272109 | − | 0.476270i | ||||
\(185\) | 0.618776 | + | 1.28490i | 0.0454933 | + | 0.0944678i | ||||
\(186\) | −3.88909 | + | 4.64906i | −0.285162 | + | 0.340886i | ||||
\(187\) | 40.4160 | + | 19.4633i | 2.95551 | + | 1.42330i | ||||
\(188\) | −0.731947 | − | 0.395739i | −0.0533827 | − | 0.0288623i | ||||
\(189\) | 0.456946 | − | 2.60599i | 0.0332380 | − | 0.189558i | ||||
\(190\) | −4.11126 | − | 3.43920i | −0.298262 | − | 0.249506i | ||||
\(191\) | −7.95602 | − | 1.81591i | −0.575678 | − | 0.131395i | −0.0752372 | − | 0.997166i | \(-0.523971\pi\) |
−0.500440 | + | 0.865771i | \(0.666829\pi\) | |||||||
\(192\) | 0.669996 | + | 7.97189i | 0.0483528 | + | 0.575322i | ||||
\(193\) | 2.30883 | − | 10.1156i | 0.166193 | − | 0.728139i | −0.821303 | − | 0.570493i | \(-0.806752\pi\) |
0.987496 | − | 0.157646i | \(-0.0503906\pi\) | |||||||
\(194\) | 1.66560 | − | 3.26098i | 0.119583 | − | 0.234125i | ||||
\(195\) | −3.22133 | −0.230685 | ||||||||
\(196\) | 13.9790 | − | 0.766657i | 0.998499 | − | 0.0547612i | ||||
\(197\) | 4.13862 | 0.294865 | 0.147432 | − | 0.989072i | \(-0.452899\pi\) | ||||
0.147432 | + | 0.989072i | \(0.452899\pi\) | |||||||
\(198\) | −3.71056 | + | 7.26468i | −0.263698 | + | 0.516278i | ||||
\(199\) | −2.31911 | + | 10.1607i | −0.164397 | + | 0.720272i | 0.823774 | + | 0.566918i | \(0.191865\pi\) |
−0.988171 | + | 0.153354i | \(0.950993\pi\) | |||||||
\(200\) | −3.76212 | + | 12.3953i | −0.266022 | + | 0.876481i | ||||
\(201\) | −11.8210 | − | 2.69807i | −0.833790 | − | 0.190307i | ||||
\(202\) | 14.8046 | + | 12.3845i | 1.04165 | + | 0.871373i | ||||
\(203\) | −17.0410 | − | 7.16426i | −1.19604 | − | 0.502832i | ||||
\(204\) | 7.39741 | − | 13.6820i | 0.517922 | − | 0.957932i | ||||
\(205\) | 4.57114 | + | 2.20134i | 0.319262 | + | 0.153749i | ||||
\(206\) | 11.5522 | − | 13.8096i | 0.804880 | − | 0.962161i | ||||
\(207\) | −1.14138 | − | 2.37010i | −0.0793316 | − | 0.164734i | ||||
\(208\) | 19.7085 | − | 2.59063i | 1.36654 | − | 0.179628i | ||||
\(209\) | 14.6334 | + | 30.3866i | 1.01222 | + | 2.10189i | ||||
\(210\) | 0.992100 | − | 2.21323i | 0.0684614 | − | 0.152728i | ||||
\(211\) | 4.19488 | − | 8.71075i | 0.288787 | − | 0.599673i | −0.705220 | − | 0.708989i | \(-0.749152\pi\) |
0.994007 | + | 0.109316i | \(0.0348660\pi\) | |||||||
\(212\) | 7.55487 | + | 0.354210i | 0.518871 | + | 0.0243272i | ||||
\(213\) | −3.04045 | + | 2.42468i | −0.208328 | + | 0.166136i | ||||
\(214\) | 21.0283 | − | 15.9783i | 1.43747 | − | 1.09225i | ||||
\(215\) | 0.514369 | 0.0350797 | ||||||||
\(216\) | 2.45586 | + | 1.40312i | 0.167100 | + | 0.0954701i | ||||
\(217\) | −9.95348 | + | 5.43268i | −0.675686 | + | 0.368795i | ||||
\(218\) | −18.1496 | − | 0.425238i | −1.22925 | − | 0.0288007i | ||||
\(219\) | 5.25354 | + | 4.18956i | 0.355002 | + | 0.283104i | ||||
\(220\) | −4.93122 | + | 5.62184i | −0.332463 | + | 0.379025i | ||||
\(221\) | −34.8199 | − | 16.7684i | −2.34224 | − | 1.12796i | ||||
\(222\) | −3.11052 | − | 0.0728781i | −0.208764 | − | 0.00489126i | ||||
\(223\) | −0.251179 | + | 0.314968i | −0.0168202 | + | 0.0210918i | −0.790170 | − | 0.612887i | \(-0.790008\pi\) |
0.773350 | + | 0.633979i | \(0.218579\pi\) | |||||||
\(224\) | −4.28987 | + | 14.3387i | −0.286629 | + | 0.958042i | ||||
\(225\) | 2.85546 | + | 3.58064i | 0.190364 | + | 0.238709i | ||||
\(226\) | −10.8265 | − | 14.2483i | −0.720169 | − | 0.947782i | ||||
\(227\) | −4.92391 | −0.326811 | −0.163406 | − | 0.986559i | \(-0.552248\pi\) | ||||
−0.163406 | + | 0.986559i | \(0.552248\pi\) | |||||||
\(228\) | 10.7620 | − | 4.57485i | 0.712732 | − | 0.302977i | ||||
\(229\) | −3.89627 | + | 0.889299i | −0.257473 | + | 0.0587665i | −0.349309 | − | 0.937008i | \(-0.613584\pi\) |
0.0918360 | + | 0.995774i | \(0.470726\pi\) | |||||||
\(230\) | −0.481403 | − | 2.36301i | −0.0317427 | − | 0.155812i | ||||
\(231\) | −11.4329 | + | 10.1090i | −0.752230 | + | 0.665123i | ||||
\(232\) | 13.3759 | − | 14.5473i | 0.878173 | − | 0.955075i | ||||
\(233\) | 9.70399 | + | 12.1684i | 0.635730 | + | 0.797180i | 0.990462 | − | 0.137788i | \(-0.0439993\pi\) |
−0.354732 | + | 0.934968i | \(0.615428\pi\) | |||||||
\(234\) | 3.19679 | − | 6.25879i | 0.208980 | − | 0.409150i | ||||
\(235\) | −0.262924 | + | 0.0600107i | −0.0171513 | + | 0.00391466i | ||||
\(236\) | 7.20498 | − | 8.21404i | 0.469004 | − | 0.534688i | ||||
\(237\) | −2.55863 | − | 0.583991i | −0.166201 | − | 0.0379343i | ||||
\(238\) | 22.2446 | − | 18.7589i | 1.44190 | − | 1.21596i | ||||
\(239\) | −12.9161 | + | 2.94802i | −0.835474 | + | 0.190692i | −0.618796 | − | 0.785552i | \(-0.712379\pi\) |
−0.216678 | + | 0.976243i | \(0.569522\pi\) | |||||||
\(240\) | 1.86705 | + | 1.79922i | 0.120517 | + | 0.116139i | ||||
\(241\) | 11.9763 | + | 9.55076i | 0.771460 | + | 0.615219i | 0.928055 | − | 0.372444i | \(-0.121480\pi\) |
−0.156595 | + | 0.987663i | \(0.550052\pi\) | |||||||
\(242\) | 28.6903 | − | 12.9977i | 1.84428 | − | 0.835522i | ||||
\(243\) | 0.900969 | − | 0.433884i | 0.0577972 | − | 0.0278337i | ||||
\(244\) | −8.17532 | − | 2.27359i | −0.523371 | − | 0.145552i | ||||
\(245\) | 3.24223 | − | 3.17447i | 0.207139 | − | 0.202809i | ||||
\(246\) | −8.81334 | + | 6.69678i | −0.561918 | + | 0.426971i | ||||
\(247\) | −12.6072 | − | 26.1792i | −0.802180 | − | 1.66574i | ||||
\(248\) | −1.86098 | − | 11.9788i | −0.118172 | − | 0.760655i | ||||
\(249\) | 3.77321 | − | 4.73145i | 0.239117 | − | 0.299844i | ||||
\(250\) | 3.62400 | + | 7.99941i | 0.229202 | + | 0.505927i | ||||
\(251\) | 0.313516 | + | 1.37361i | 0.0197890 | + | 0.0867012i | 0.983858 | − | 0.178950i | \(-0.0572701\pi\) |
−0.964069 | + | 0.265651i | \(0.914413\pi\) | |||||||
\(252\) | 3.31559 | + | 4.12394i | 0.208863 | + | 0.259784i | ||||
\(253\) | −3.37650 | + | 14.7934i | −0.212279 | + | 0.930055i | ||||
\(254\) | 24.2095 | − | 4.93206i | 1.51904 | − | 0.309465i | ||||
\(255\) | −1.12176 | − | 4.91474i | −0.0702471 | − | 0.307773i | ||||
\(256\) | −12.8697 | − | 9.50631i | −0.804359 | − | 0.594144i | ||||
\(257\) | −18.8124 | + | 15.0024i | −1.17349 | + | 0.935824i | −0.998808 | − | 0.0488019i | \(-0.984460\pi\) |
−0.174677 | + | 0.984626i | \(0.555888\pi\) | |||||||
\(258\) | −0.510449 | + | 0.999377i | −0.0317792 | + | 0.0622185i | ||||
\(259\) | −5.36592 | − | 2.25590i | −0.333422 | − | 0.140175i | ||||
\(260\) | 4.24843 | − | 4.84343i | 0.263477 | − | 0.300377i | ||||
\(261\) | −1.55474 | − | 6.81177i | −0.0962361 | − | 0.421638i | ||||
\(262\) | 2.41313 | − | 9.53707i | 0.149083 | − | 0.589202i | ||||
\(263\) | − | 16.5389i | − | 1.01983i | −0.860224 | − | 0.509917i | \(-0.829676\pi\) | ||
0.860224 | − | 0.509917i | \(-0.170324\pi\) | |||||||
\(264\) | −6.02914 | − | 15.1600i | −0.371068 | − | 0.933032i | ||||
\(265\) | 1.91651 | − | 1.52836i | 0.117730 | − | 0.0938866i | ||||
\(266\) | 21.8693 | − | 0.599245i | 1.34089 | − | 0.0367421i | ||||
\(267\) | −5.45411 | − | 4.34951i | −0.333786 | − | 0.266186i | ||||
\(268\) | 19.6467 | − | 14.2151i | 1.20012 | − | 0.868327i | ||||
\(269\) | 3.64374 | − | 7.56631i | 0.222163 | − | 0.461326i | −0.759860 | − | 0.650086i | \(-0.774733\pi\) |
0.982023 | + | 0.188760i | \(0.0604470\pi\) | |||||||
\(270\) | 0.898271 | − | 0.183000i | 0.0546671 | − | 0.0111370i | ||||
\(271\) | −10.9679 | + | 13.7533i | −0.666252 | + | 0.835453i | −0.994008 | − | 0.109309i | \(-0.965136\pi\) |
0.327756 | + | 0.944762i | \(0.393708\pi\) | |||||||
\(272\) | 10.8155 | + | 29.1668i | 0.655787 | + | 1.76850i | ||||
\(273\) | 9.84988 | − | 8.70928i | 0.596142 | − | 0.527110i | ||||
\(274\) | 0.132713 | − | 0.524503i | 0.00801749 | − | 0.0316864i | ||||
\(275\) | − | 26.4172i | − | 1.59301i | ||||||
\(276\) | 5.06887 | + | 1.40967i | 0.305110 | + | 0.0848524i | ||||
\(277\) | 17.4653 | + | 21.9008i | 1.04939 | + | 1.31589i | 0.947030 | + | 0.321145i | \(0.104068\pi\) |
0.102359 | + | 0.994747i | \(0.467361\pi\) | |||||||
\(278\) | −1.08387 | + | 1.29566i | −0.0650060 | + | 0.0777088i | ||||
\(279\) | −3.86151 | − | 1.85961i | −0.231183 | − | 0.111332i | ||||
\(280\) | 2.01927 | + | 4.41058i | 0.120675 | + | 0.263582i | ||||
\(281\) | −16.1304 | + | 7.76799i | −0.962258 | + | 0.463399i | −0.847968 | − | 0.530048i | \(-0.822174\pi\) |
−0.114291 | + | 0.993447i | \(0.536460\pi\) | |||||||
\(282\) | 0.144324 | − | 0.570393i | 0.00859439 | − | 0.0339664i | ||||
\(283\) | 22.7813 | − | 10.9709i | 1.35421 | − | 0.652151i | 0.390869 | − | 0.920446i | \(-0.372174\pi\) |
0.963337 | + | 0.268295i | \(0.0864602\pi\) | |||||||
\(284\) | 0.364260 | − | 7.76923i | 0.0216148 | − | 0.461019i | ||||
\(285\) | 1.64449 | − | 3.41481i | 0.0974110 | − | 0.202276i | ||||
\(286\) | −36.9258 | + | 16.7286i | −2.18347 | + | 0.989184i | ||||
\(287\) | −19.9288 | + | 5.62759i | −1.17636 | + | 0.332186i | ||||
\(288\) | −5.34855 | + | 1.84201i | −0.315166 | + | 0.108542i | ||||
\(289\) | 9.67515 | − | 42.3896i | 0.569127 | − | 2.49351i | ||||
\(290\) | 0.150027 | − | 6.40333i | 0.00880991 | − | 0.376017i | ||||
\(291\) | 2.52431 | + | 0.576158i | 0.147978 | + | 0.0337750i | ||||
\(292\) | −13.2278 | + | 2.37358i | −0.774099 | + | 0.138903i | ||||
\(293\) | − | 17.5931i | − | 1.02780i | −0.857850 | − | 0.513900i | \(-0.828200\pi\) | ||
0.857850 | − | 0.513900i | \(-0.171800\pi\) | |||||||
\(294\) | 2.95021 | + | 9.44967i | 0.172060 | + | 0.551116i | ||||
\(295\) | − | 3.54130i | − | 0.206182i | ||||||
\(296\) | 4.21186 | − | 4.58069i | 0.244809 | − | 0.266247i | ||||
\(297\) | −5.62356 | − | 1.28354i | −0.326312 | − | 0.0744786i | ||||
\(298\) | −11.2063 | − | 0.262560i | −0.649166 | − | 0.0152097i | ||||
\(299\) | 2.90898 | − | 12.7451i | 0.168231 | − | 0.737068i | ||||
\(300\) | −9.14957 | − | 0.428977i | −0.528251 | − | 0.0247670i | ||||
\(301\) | −1.57279 | + | 1.39066i | −0.0906539 | + | 0.0801564i | ||||
\(302\) | 3.81655 | + | 8.42442i | 0.219617 | + | 0.484771i | ||||
\(303\) | −5.92178 | + | 12.2967i | −0.340197 | + | 0.706427i | ||||
\(304\) | −7.31492 | + | 22.2147i | −0.419539 | + | 1.27410i | ||||
\(305\) | −2.47790 | + | 1.19329i | −0.141884 | + | 0.0683279i | ||||
\(306\) | 10.6621 | + | 2.69780i | 0.609514 | + | 0.154223i | ||||
\(307\) | 0.559871 | − | 0.269620i | 0.0319535 | − | 0.0153880i | −0.417839 | − | 0.908521i | \(-0.637212\pi\) |
0.449792 | + | 0.893133i | \(0.351498\pi\) | |||||||
\(308\) | −0.121143 | − | 30.5221i | −0.00690279 | − | 1.73916i | ||||
\(309\) | 11.4703 | + | 5.52379i | 0.652521 | + | 0.314237i | ||||
\(310\) | −3.01362 | − | 2.52099i | −0.171162 | − | 0.143183i | ||||
\(311\) | 10.8830 | + | 13.6468i | 0.617116 | + | 0.773839i | 0.987935 | − | 0.154866i | \(-0.0494946\pi\) |
−0.370820 | + | 0.928705i | \(0.620923\pi\) | |||||||
\(312\) | 5.19433 | + | 13.0609i | 0.294071 | + | 0.739427i | ||||
\(313\) | − | 18.9309i | − | 1.07004i | −0.844840 | − | 0.535019i | \(-0.820304\pi\) | ||
0.844840 | − | 0.535019i | \(-0.179696\pi\) | |||||||
\(314\) | 27.6960 | + | 7.00781i | 1.56298 | + | 0.395474i | ||||
\(315\) | 1.68926 | + | 0.296202i | 0.0951790 | + | 0.0166891i | ||||
\(316\) | 4.25249 | − | 3.07683i | 0.239221 | − | 0.173085i | ||||
\(317\) | 9.73163 | − | 12.2031i | 0.546583 | − | 0.685393i | −0.429431 | − | 0.903099i | \(-0.641286\pi\) |
0.976014 | + | 0.217706i | \(0.0698574\pi\) | |||||||
\(318\) | 1.06758 | + | 5.24033i | 0.0598671 | + | 0.293863i | ||||
\(319\) | −17.4864 | + | 36.3108i | −0.979048 | + | 2.03301i | ||||
\(320\) | −5.16755 | + | 0.434305i | −0.288875 | + | 0.0242784i | ||||
\(321\) | 14.6006 | + | 11.6436i | 0.814923 | + | 0.649880i | ||||
\(322\) | 7.86067 | + | 5.92384i | 0.438058 | + | 0.330123i | ||||
\(323\) | 35.5510 | − | 28.3510i | 1.97811 | − | 1.57749i | ||||
\(324\) | −0.535872 | + | 1.92687i | −0.0297707 | + | 0.107049i | ||||
\(325\) | 22.7594i | 1.26246i | ||||||||
\(326\) | 21.5288 | + | 5.44736i | 1.19237 | + | 0.301701i | ||||
\(327\) | −2.85655 | − | 12.5154i | −0.157968 | − | 0.692102i | ||||
\(328\) | 1.55448 | − | 22.0833i | 0.0858319 | − | 1.21934i | ||||
\(329\) | 0.641696 | − | 0.894342i | 0.0353779 | − | 0.0493067i | ||||
\(330\) | −4.70911 | − | 2.40526i | −0.259228 | − | 0.132405i | ||||
\(331\) | 2.60154 | − | 2.07466i | 0.142994 | − | 0.114034i | −0.549380 | − | 0.835572i | \(-0.685136\pi\) |
0.692374 | + | 0.721539i | \(0.256565\pi\) | |||||||
\(332\) | 2.13769 | + | 11.9132i | 0.117321 | + | 0.653824i | ||||
\(333\) | −0.489562 | − | 2.14491i | −0.0268278 | − | 0.117540i | ||||
\(334\) | 4.76507 | + | 23.3898i | 0.260733 | + | 1.27983i | ||||
\(335\) | 1.74894 | − | 7.66263i | 0.0955551 | − | 0.418654i | ||||
\(336\) | −10.5733 | − | 0.453677i | −0.576820 | − | 0.0247501i | ||||
\(337\) | 1.15624 | + | 5.06584i | 0.0629846 | + | 0.275954i | 0.996607 | − | 0.0823043i | \(-0.0262280\pi\) |
−0.933623 | + | 0.358258i | \(0.883371\pi\) | |||||||
\(338\) | 15.0665 | − | 6.82565i | 0.819512 | − | 0.371266i | ||||
\(339\) | 7.88939 | − | 9.89299i | 0.428493 | − | 0.537313i | ||||
\(340\) | 8.86896 | + | 4.79515i | 0.480987 | + | 0.260054i | ||||
\(341\) | 10.7265 | + | 22.2739i | 0.580875 | + | 1.20620i | ||||
\(342\) | 5.00275 | + | 6.58389i | 0.270518 | + | 0.356016i | ||||
\(343\) | −1.33121 | + | 18.4724i | −0.0718786 | + | 0.997413i | ||||
\(344\) | −0.829408 | − | 2.08551i | −0.0447187 | − | 0.112443i | ||||
\(345\) | 1.53635 | − | 0.739868i | 0.0827144 | − | 0.0398331i | ||||
\(346\) | −9.01039 | − | 19.8890i | −0.484402 | − | 1.06924i | ||||
\(347\) | −19.2162 | − | 15.3244i | −1.03158 | − | 0.822658i | −0.0472307 | − | 0.998884i | \(-0.515040\pi\) |
−0.984350 | + | 0.176226i | \(0.943611\pi\) | |||||||
\(348\) | 12.2923 | + | 6.64602i | 0.658935 | + | 0.356264i | ||||
\(349\) | 19.7089 | − | 4.49843i | 1.05499 | − | 0.240795i | 0.340360 | − | 0.940295i | \(-0.389451\pi\) |
0.714633 | + | 0.699500i | \(0.246594\pi\) | |||||||
\(350\) | −15.6369 | − | 7.00939i | −0.835829 | − | 0.374667i | ||||
\(351\) | 4.84491 | + | 1.10582i | 0.258602 | + | 0.0590242i | ||||
\(352\) | 30.7452 | + | 10.9285i | 1.63873 | + | 0.582492i | ||||
\(353\) | 6.99105 | − | 1.59566i | 0.372096 | − | 0.0849284i | −0.0323837 | − | 0.999476i | \(-0.510310\pi\) |
0.404479 | + | 0.914547i | \(0.367453\pi\) | |||||||
\(354\) | 6.88046 | + | 3.51431i | 0.365692 | + | 0.186784i | ||||
\(355\) | −1.57173 | − | 1.97088i | −0.0834186 | − | 0.104604i | ||||
\(356\) | 13.7328 | − | 2.46419i | 0.727837 | − | 0.130602i | ||||
\(357\) | 16.7176 | + | 11.9950i | 0.884790 | + | 0.634842i | ||||
\(358\) | −19.4593 | + | 3.96434i | −1.02846 | + | 0.209522i | ||||
\(359\) | −30.2292 | + | 6.89962i | −1.59544 | + | 0.364148i | −0.925643 | − | 0.378399i | \(-0.876475\pi\) |
−0.669794 | + | 0.742547i | \(0.733618\pi\) | |||||||
\(360\) | −0.909530 | + | 1.59194i | −0.0479364 | + | 0.0839027i | ||||
\(361\) | 15.1876 | 0.799346 | ||||||||
\(362\) | −13.8493 | + | 10.5234i | −0.727904 | + | 0.553095i | ||||
\(363\) | 13.8863 | + | 17.4129i | 0.728842 | + | 0.913938i | ||||
\(364\) | 0.104370 | + | 26.2959i | 0.00547046 | + | 1.37828i | ||||
\(365\) | −2.71576 | + | 3.40546i | −0.142149 | + | 0.178250i | ||||
\(366\) | 0.140544 | − | 5.99856i | 0.00734634 | − | 0.313550i | ||||
\(367\) | −11.0667 | − | 5.32946i | −0.577679 | − | 0.278196i | 0.122143 | − | 0.992512i | \(-0.461023\pi\) |
−0.699822 | + | 0.714317i | \(0.746738\pi\) | |||||||
\(368\) | −8.80455 | + | 5.76214i | −0.458969 | + | 0.300372i | ||||
\(369\) | −6.11934 | − | 4.88001i | −0.318560 | − | 0.254043i | ||||
\(370\) | 0.0472411 | − | 2.01630i | 0.00245595 | − | 0.104823i | ||||
\(371\) | −1.72798 | + | 9.85479i | −0.0897124 | + | 0.511635i | ||||
\(372\) | 7.88873 | − | 3.35343i | 0.409012 | − | 0.173867i | ||||
\(373\) | −22.2904 | −1.15415 | −0.577077 | − | 0.816690i | \(-0.695807\pi\) | ||||
−0.577077 | + | 0.816690i | \(0.695807\pi\) | |||||||
\(374\) | −38.3812 | − | 50.5117i | −1.98464 | − | 2.61190i | ||||
\(375\) | −4.85504 | + | 3.87177i | −0.250713 | + | 0.199937i | ||||
\(376\) | 0.667272 | + | 0.969257i | 0.0344119 | + | 0.0499856i | ||||
\(377\) | 15.0651 | − | 31.2831i | 0.775895 | − | 1.61116i | ||||
\(378\) | −2.25188 | + | 2.98815i | −0.115824 | + | 0.153694i | ||||
\(379\) | −14.5250 | − | 30.1616i | −0.746101 | − | 1.54930i | −0.833122 | − | 0.553089i | \(-0.813449\pi\) |
0.0870213 | − | 0.996206i | \(-0.472265\pi\) | |||||||
\(380\) | 2.96551 | + | 6.97617i | 0.152127 | + | 0.357870i | ||||
\(381\) | 7.58008 | + | 15.7402i | 0.388340 | + | 0.806395i | ||||
\(382\) | 8.85199 | + | 7.40499i | 0.452907 | + | 0.378872i | ||||
\(383\) | 17.5251 | + | 8.43963i | 0.895489 | + | 0.431245i | 0.824258 | − | 0.566215i | \(-0.191593\pi\) |
0.0712317 | + | 0.997460i | \(0.477307\pi\) | |||||||
\(384\) | 4.28435 | − | 10.4711i | 0.218635 | − | 0.534352i | ||||
\(385\) | −6.55286 | − | 7.41105i | −0.333965 | − | 0.377702i | ||||
\(386\) | −9.41502 | + | 11.2548i | −0.479212 | + | 0.572855i | ||||
\(387\) | −0.773614 | − | 0.176572i | −0.0393250 | − | 0.00897568i | ||||
\(388\) | −4.19545 | + | 3.03556i | −0.212992 | + | 0.154107i | ||||
\(389\) | 0.709906 | − | 3.11030i | 0.0359937 | − | 0.157699i | −0.953737 | − | 0.300641i | \(-0.902799\pi\) |
0.989731 | + | 0.142943i | \(0.0456565\pi\) | |||||||
\(390\) | 4.05708 | + | 2.07222i | 0.205438 | + | 0.104931i | ||||
\(391\) | 20.4580 | 1.03460 | ||||||||
\(392\) | −18.0989 | − | 8.02686i | −0.914132 | − | 0.405418i | ||||
\(393\) | 6.95625 | 0.350896 | ||||||||
\(394\) | −5.21235 | − | 2.66230i | −0.262594 | − | 0.134125i | ||||
\(395\) | 0.378555 | − | 1.65856i | 0.0190472 | − | 0.0834512i | ||||
\(396\) | 9.34645 | − | 6.76250i | 0.469677 | − | 0.339828i | ||||
\(397\) | −15.2654 | − | 3.48422i | −0.766148 | − | 0.174868i | −0.178450 | − | 0.983949i | \(-0.557108\pi\) |
−0.587698 | + | 0.809081i | \(0.699965\pi\) | |||||||
\(398\) | 9.45696 | − | 11.3049i | 0.474034 | − | 0.566665i | ||||
\(399\) | 4.20402 | + | 14.8876i | 0.210464 | + | 0.745310i | ||||
\(400\) | 12.7118 | − | 13.1911i | 0.635592 | − | 0.659553i | ||||
\(401\) | −19.3630 | − | 9.32472i | −0.966941 | − | 0.465654i | −0.117347 | − | 0.993091i | \(-0.537439\pi\) |
−0.849594 | + | 0.527437i | \(0.823153\pi\) | |||||||
\(402\) | 13.1522 | + | 11.0023i | 0.655974 | + | 0.548744i | ||||
\(403\) | −9.24131 | − | 19.1898i | −0.460343 | − | 0.955911i | ||||
\(404\) | −10.6788 | − | 25.1211i | −0.531289 | − | 1.24982i | ||||
\(405\) | 0.281252 | + | 0.584027i | 0.0139755 | + | 0.0290205i | ||||
\(406\) | 16.8535 | + | 19.9851i | 0.836424 | + | 0.991843i | ||||
\(407\) | −5.50616 | + | 11.4337i | −0.272930 | + | 0.566746i | ||||
\(408\) | −18.1180 | + | 12.4731i | −0.896973 | + | 0.617508i | ||||
\(409\) | −13.8562 | + | 11.0500i | −0.685147 | + | 0.546386i | −0.903024 | − | 0.429590i | \(-0.858658\pi\) |
0.217878 | + | 0.975976i | \(0.430087\pi\) | |||||||
\(410\) | −4.34099 | − | 5.71299i | −0.214386 | − | 0.282144i | ||||
\(411\) | 0.382568 | 0.0188707 | ||||||||
\(412\) | −23.4328 | + | 9.96107i | −1.15445 | + | 0.490747i | ||||
\(413\) | 9.57435 | + | 10.8282i | 0.471123 | + | 0.532823i | ||||
\(414\) | −0.0871401 | + | 3.71923i | −0.00428270 | + | 0.182790i | ||||
\(415\) | 3.06703 | + | 2.44587i | 0.150554 | + | 0.120063i | ||||
\(416\) | −26.4881 | − | 9.41533i | −1.29869 | − | 0.461625i | ||||
\(417\) | −1.07618 | − | 0.518261i | −0.0527007 | − | 0.0253793i | ||||
\(418\) | 1.11721 | − | 47.6836i | 0.0546443 | − | 2.33228i | ||||
\(419\) | 7.31093 | − | 9.16761i | 0.357162 | − | 0.447867i | −0.570495 | − | 0.821301i | \(-0.693248\pi\) |
0.927657 | + | 0.373434i | \(0.121820\pi\) | |||||||
\(420\) | −2.67322 | + | 2.14924i | −0.130440 | + | 0.104872i | ||||
\(421\) | −18.3560 | − | 23.0177i | −0.894619 | − | 1.12182i | −0.991958 | − | 0.126565i | \(-0.959605\pi\) |
0.0973396 | − | 0.995251i | \(-0.468967\pi\) | |||||||
\(422\) | −10.8867 | + | 8.27219i | −0.529954 | + | 0.402684i | ||||
\(423\) | 0.416040 | 0.0202285 | ||||||||
\(424\) | −9.28706 | − | 5.30601i | −0.451019 | − | 0.257683i | ||||
\(425\) | −34.7236 | + | 7.92544i | −1.68434 | + | 0.384440i | ||||
\(426\) | 5.38902 | − | 1.09787i | 0.261099 | − | 0.0531922i | ||||
\(427\) | 4.35046 | − | 10.3481i | 0.210534 | − | 0.500778i | ||||
\(428\) | −36.7625 | + | 6.59660i | −1.77698 | + | 0.318859i | ||||
\(429\) | −17.8723 | − | 22.4112i | −0.862884 | − | 1.08202i | ||||
\(430\) | −0.647817 | − | 0.330884i | −0.0312405 | − | 0.0159566i | ||||
\(431\) | −24.8721 | + | 5.67689i | −1.19805 | + | 0.273446i | −0.774586 | − | 0.632469i | \(-0.782042\pi\) |
−0.423460 | + | 0.905915i | \(0.639184\pi\) | |||||||
\(432\) | −2.19041 | − | 3.34695i | −0.105386 | − | 0.161030i | ||||
\(433\) | −29.7232 | − | 6.78412i | −1.42840 | − | 0.326024i | −0.562734 | − | 0.826638i | \(-0.690250\pi\) |
−0.865670 | + | 0.500614i | \(0.833107\pi\) | |||||||
\(434\) | 16.0306 | − | 0.439256i | 0.769491 | − | 0.0210850i | ||||
\(435\) | 4.41553 | − | 1.00782i | 0.211708 | − | 0.0483211i | ||||
\(436\) | 22.5848 | + | 12.2109i | 1.08162 | + | 0.584794i | ||||
\(437\) | 12.0256 | + | 9.59006i | 0.575260 | + | 0.458755i | ||||
\(438\) | −3.92146 | − | 8.65601i | −0.187375 | − | 0.413600i | ||||
\(439\) | 9.61857 | − | 4.63206i | 0.459069 | − | 0.221076i | −0.190032 | − | 0.981778i | \(-0.560859\pi\) |
0.649102 | + | 0.760702i | \(0.275145\pi\) | |||||||
\(440\) | 9.82701 | − | 3.90821i | 0.468484 | − | 0.186317i | ||||
\(441\) | −5.96607 | + | 3.66143i | −0.284098 | + | 0.174354i | ||||
\(442\) | 33.0668 | + | 43.5178i | 1.57283 | + | 2.06993i | ||||
\(443\) | 5.25825 | + | 10.9189i | 0.249827 | + | 0.518771i | 0.987737 | − | 0.156128i | \(-0.0499013\pi\) |
−0.737910 | + | 0.674899i | \(0.764187\pi\) | |||||||
\(444\) | 3.87063 | + | 2.09272i | 0.183692 | + | 0.0993162i | ||||
\(445\) | 2.81944 | − | 3.53547i | 0.133654 | − | 0.167597i | ||||
\(446\) | 0.518958 | − | 0.235105i | 0.0245734 | − | 0.0111326i | ||||
\(447\) | −1.76376 | − | 7.72753i | −0.0834229 | − | 0.365499i | ||||
\(448\) | 14.6266 | − | 15.2991i | 0.691043 | − | 0.722814i | ||||
\(449\) | −5.00245 | + | 21.9172i | −0.236080 | + | 1.03434i | 0.708411 | + | 0.705800i | \(0.249412\pi\) |
−0.944492 | + | 0.328536i | \(0.893445\pi\) | |||||||
\(450\) | −1.29293 | − | 6.34647i | −0.0609493 | − | 0.299175i | ||||
\(451\) | 10.0462 | + | 44.0152i | 0.473057 | + | 2.07260i | ||||
\(452\) | 4.46970 | + | 24.9094i | 0.210237 | + | 1.17164i | ||||
\(453\) | −5.11299 | + | 4.07747i | −0.240229 | + | 0.191576i | ||||
\(454\) | 6.20137 | + | 3.16746i | 0.291045 | + | 0.148656i | ||||
\(455\) | 5.64554 | + | 6.38489i | 0.264667 | + | 0.299328i | ||||
\(456\) | −16.4970 | − | 1.16126i | −0.772544 | − | 0.0543808i | ||||
\(457\) | −1.45952 | − | 6.39456i | −0.0682733 | − | 0.299125i | 0.929251 | − | 0.369449i | \(-0.120454\pi\) |
−0.997524 | + | 0.0703245i | \(0.977597\pi\) | |||||||
\(458\) | 5.47919 | + | 1.38638i | 0.256026 | + | 0.0647812i | ||||
\(459\) | 7.77687i | 0.362993i | ||||||||
\(460\) | −0.913780 | + | 3.28575i | −0.0426052 | + | 0.153199i | ||||
\(461\) | 13.0671 | − | 10.4207i | 0.608596 | − | 0.485339i | −0.270029 | − | 0.962852i | \(-0.587033\pi\) |
0.878624 | + | 0.477513i | \(0.158462\pi\) | |||||||
\(462\) | 20.9020 | − | 5.37711i | 0.972449 | − | 0.250166i | ||||
\(463\) | −7.33745 | − | 5.85142i | −0.341000 | − | 0.271939i | 0.437983 | − | 0.898983i | \(-0.355693\pi\) |
−0.778983 | + | 0.627044i | \(0.784264\pi\) | |||||||
\(464\) | −26.2042 | + | 9.71694i | −1.21650 | + | 0.451098i | ||||
\(465\) | 1.20544 | − | 2.50311i | 0.0559007 | − | 0.116079i | ||||
\(466\) | −4.39389 | − | 21.5678i | −0.203543 | − | 0.999109i | ||||
\(467\) | 8.22180 | − | 10.3098i | 0.380460 | − | 0.477081i | −0.554323 | − | 0.832302i | \(-0.687023\pi\) |
0.934783 | + | 0.355220i | \(0.115594\pi\) | |||||||
\(468\) | −8.05232 | + | 5.82614i | −0.372219 | + | 0.269314i | ||||
\(469\) | 15.3691 | + | 28.1585i | 0.709680 | + | 1.30024i | ||||
\(470\) | 0.369741 | + | 0.0935541i | 0.0170549 | + | 0.00431533i | ||||
\(471\) | 20.2012i | 0.930823i | ||||||||
\(472\) | −14.3582 | + | 5.71026i | −0.660889 | + | 0.262836i | ||||
\(473\) | 2.85378 | + | 3.57852i | 0.131217 | + | 0.164541i | ||||
\(474\) | 2.84678 | + | 2.38142i | 0.130757 | + | 0.109382i | ||||
\(475\) | −24.1263 | − | 11.6186i | −1.10699 | − | 0.533099i | ||||
\(476\) | −40.0829 | + | 9.31620i | −1.83720 | + | 0.427007i | ||||
\(477\) | −3.40709 | + | 1.64077i | −0.156000 | + | 0.0751257i | ||||
\(478\) | 18.1635 | + | 4.59584i | 0.830778 | + | 0.210209i | ||||
\(479\) | −7.47379 | + | 3.59919i | −0.341486 | + | 0.164451i | −0.596764 | − | 0.802417i | \(-0.703547\pi\) |
0.255278 | + | 0.966868i | \(0.417833\pi\) | |||||||
\(480\) | −1.19403 | − | 3.46704i | −0.0544998 | − | 0.158248i | ||||
\(481\) | 4.74376 | − | 9.85053i | 0.216297 | − | 0.449145i | ||||
\(482\) | −8.93958 | − | 19.7327i | −0.407187 | − | 0.898801i | ||||
\(483\) | −2.69738 | + | 6.41601i | −0.122735 | + | 0.291939i | ||||
\(484\) | −44.4949 | − | 2.08614i | −2.02250 | − | 0.0948245i | ||||
\(485\) | −0.373478 | + | 1.63631i | −0.0169587 | + | 0.0743011i | ||||
\(486\) | −1.41383 | − | 0.0331253i | −0.0641324 | − | 0.00150260i | ||||
\(487\) | 11.1096 | + | 2.53569i | 0.503423 | + | 0.114903i | 0.466688 | − | 0.884422i | \(-0.345447\pi\) |
0.0367350 | + | 0.999325i | \(0.488304\pi\) | |||||||
\(488\) | 8.83377 | + | 8.12248i | 0.399886 | + | 0.367687i | ||||
\(489\) | 15.7029i | 0.710112i | ||||||||
\(490\) | −6.12547 | + | 1.91239i | −0.276721 | + | 0.0863928i | ||||
\(491\) | 4.93843i | 0.222868i | 0.993772 | + | 0.111434i | \(0.0355444\pi\) | ||||
−0.993772 | + | 0.111434i | \(0.964456\pi\) | |||||||
\(492\) | 15.4078 | − | 2.76475i | 0.694636 | − | 0.124644i | ||||
\(493\) | 52.9742 | + | 12.0910i | 2.38584 | + | 0.544552i | ||||
\(494\) | −0.962514 | + | 41.0812i | −0.0433056 | + | 1.84833i | ||||
\(495\) | 0.832018 | − | 3.64531i | 0.0373964 | − | 0.163844i | ||||
\(496\) | −5.36195 | + | 16.2837i | −0.240759 | + | 0.731161i | ||||
\(497\) | 10.1344 | + | 1.77701i | 0.454590 | + | 0.0797099i | ||||
\(498\) | −7.79578 | + | 3.53175i | −0.349337 | + | 0.158262i | ||||
\(499\) | −11.5477 | + | 23.9790i | −0.516945 | + | 1.07345i | 0.465180 | + | 0.885216i | \(0.345990\pi\) |
−0.982125 | + | 0.188231i | \(0.939725\pi\) | |||||||
\(500\) | 0.581656 | − | 12.4060i | 0.0260124 | − | 0.554815i | ||||
\(501\) | −15.2073 | + | 7.32343i | −0.679410 | + | 0.327187i | ||||
\(502\) | 0.488759 | − | 1.93165i | 0.0218144 | − | 0.0862139i | ||||
\(503\) | −10.0917 | + | 4.85989i | −0.449965 | + | 0.216692i | −0.645121 | − | 0.764080i | \(-0.723193\pi\) |
0.195156 | + | 0.980772i | \(0.437479\pi\) | |||||||
\(504\) | −1.52294 | − | 7.32671i | −0.0678372 | − | 0.326358i | ||||
\(505\) | −7.97098 | − | 3.83862i | −0.354704 | − | 0.170816i | ||||
\(506\) | 13.7688 | − | 16.4594i | 0.612100 | − | 0.731710i | ||||
\(507\) | 7.29230 | + | 9.14426i | 0.323863 | + | 0.406111i | ||||
\(508\) | −33.6631 | − | 9.36185i | −1.49356 | − | 0.415365i | ||||
\(509\) | − | 12.1086i | − | 0.536704i | −0.963321 | − | 0.268352i | \(-0.913521\pi\) | ||
0.963321 | − | 0.268352i | \(-0.0864790\pi\) | |||||||
\(510\) | −1.74877 | + | 6.91142i | −0.0774369 | + | 0.306043i | ||||
\(511\) | −0.903093 | − | 17.7553i | −0.0399505 | − | 0.785447i | ||||
\(512\) | 10.0934 | + | 20.2515i | 0.446071 | + | 0.894997i | ||||
\(513\) | −3.64555 | + | 4.57138i | −0.160955 | + | 0.201831i | ||||
\(514\) | 33.3439 | − | 6.79296i | 1.47073 | − | 0.299625i | ||||
\(515\) | −3.58064 | + | 7.43527i | −0.157782 | + | 0.327637i | ||||
\(516\) | 1.28576 | − | 0.930294i | 0.0566024 | − | 0.0409539i | ||||
\(517\) | −1.87623 | − | 1.49624i | −0.0825166 | − | 0.0658048i | ||||
\(518\) | 5.30688 | + | 6.29297i | 0.233171 | + | 0.276497i | ||||
\(519\) | 12.0711 | − | 9.62641i | 0.529864 | − | 0.422552i | ||||
\(520\) | −8.46633 | + | 3.36707i | −0.371273 | + | 0.147656i | ||||
\(521\) | − | 18.5169i | − | 0.811242i | −0.914041 | − | 0.405621i | \(-0.867055\pi\) | ||
0.914041 | − | 0.405621i | \(-0.132945\pi\) | |||||||
\(522\) | −2.42377 | + | 9.57915i | −0.106086 | + | 0.419268i | ||||
\(523\) | 1.17420 | + | 5.14449i | 0.0513440 | + | 0.224953i | 0.994090 | − | 0.108559i | \(-0.0346236\pi\) |
−0.942746 | + | 0.333511i | \(0.891766\pi\) | |||||||
\(524\) | −9.17420 | + | 10.4590i | −0.400777 | + | 0.456906i | ||||
\(525\) | 2.09273 | − | 11.9350i | 0.0913341 | − | 0.520884i | ||||
\(526\) | −10.6392 | + | 20.8298i | −0.463890 | + | 0.908222i | ||||
\(527\) | 26.0595 | − | 20.7817i | 1.13517 | − | 0.905267i | ||||
\(528\) | −2.15878 | + | 22.9715i | −0.0939488 | + | 0.999706i | ||||
\(529\) | −3.57810 | − | 15.6767i | −0.155570 | − | 0.681595i | ||||
\(530\) | −3.39689 | + | 0.692030i | −0.147552 | + | 0.0300599i | ||||
\(531\) | −1.21566 | + | 5.32614i | −0.0527550 | + | 0.231135i | ||||
\(532\) | −27.9286 | − | 13.3134i | −1.21086 | − | 0.577209i | ||||
\(533\) | −8.65517 | − | 37.9208i | −0.374897 | − | 1.64253i | ||||
\(534\) | 4.07117 | + | 8.98647i | 0.176177 | + | 0.388883i | ||||
\(535\) | −7.54759 | + | 9.46438i | −0.326311 | + | 0.409181i | ||||
\(536\) | −33.8882 | + | 5.26472i | −1.46375 | + | 0.227401i | ||||
\(537\) | −6.09279 | − | 12.6518i | −0.262923 | − | 0.545966i | ||||
\(538\) | −9.45634 | + | 7.18537i | −0.407692 | + | 0.309783i | ||||
\(539\) | 40.0734 | + | 4.94428i | 1.72608 | + | 0.212965i | ||||
\(540\) | −1.24904 | − | 0.347363i | −0.0537501 | − | 0.0149481i | ||||
\(541\) | −26.9053 | + | 12.9569i | −1.15675 | + | 0.557061i | −0.911054 | − | 0.412286i | \(-0.864730\pi\) |
−0.245695 | + | 0.969347i | \(0.579016\pi\) | |||||||
\(542\) | 22.6606 | − | 10.2660i | 0.973358 | − | 0.440964i | ||||
\(543\) | −9.61596 | − | 7.66847i | −0.412660 | − | 0.329086i | ||||
\(544\) | 5.14093 | − | 43.6912i | 0.220415 | − | 1.87325i | ||||
\(545\) | 8.11273 | − | 1.85168i | 0.347511 | − | 0.0793171i | ||||
\(546\) | −18.0078 | + | 4.63258i | −0.770665 | + | 0.198256i | ||||
\(547\) | −2.98391 | − | 0.681058i | −0.127583 | − | 0.0291199i | 0.158253 | − | 0.987399i | \(-0.449414\pi\) |
−0.285835 | + | 0.958279i | \(0.592271\pi\) | |||||||
\(548\) | −0.504547 | + | 0.575209i | −0.0215532 | + | 0.0245717i | ||||
\(549\) | 4.13641 | − | 0.944109i | 0.176538 | − | 0.0402936i | ||||
\(550\) | −16.9937 | + | 33.2708i | −0.724612 | + | 1.41867i | ||||
\(551\) | 25.4713 | + | 31.9400i | 1.08511 | + | 1.36069i | ||||
\(552\) | −5.47712 | − | 5.03611i | −0.233122 | − | 0.214351i | ||||
\(553\) | 3.32661 | + | 6.09485i | 0.141462 | + | 0.259179i | ||||
\(554\) | −7.90815 | − | 38.8179i | −0.335985 | − | 1.64921i | ||||
\(555\) | 1.39038 | − | 0.317344i | 0.0590182 | − | 0.0134705i | ||||
\(556\) | 2.19854 | − | 0.934582i | 0.0932389 | − | 0.0396351i | ||||
\(557\) | −9.97224 | −0.422537 | −0.211269 | − | 0.977428i | \(-0.567760\pi\) | ||||
−0.211269 | + | 0.977428i | \(0.567760\pi\) | |||||||
\(558\) | 3.66709 | + | 4.82610i | 0.155240 | + | 0.204305i | ||||
\(559\) | −2.45863 | − | 3.08303i | −0.103989 | − | 0.130398i | ||||
\(560\) | 0.294083 | − | 6.85382i | 0.0124273 | − | 0.289627i | ||||
\(561\) | 27.9688 | − | 35.0717i | 1.18084 | − | 1.48073i | ||||
\(562\) | 25.3123 | + | 0.593056i | 1.06773 | + | 0.0250165i | ||||
\(563\) | 3.24935 | + | 1.56481i | 0.136944 | + | 0.0659487i | 0.501101 | − | 0.865389i | \(-0.332929\pi\) |
−0.364157 | + | 0.931338i | \(0.618643\pi\) | |||||||
\(564\) | −0.548691 | + | 0.625535i | −0.0231041 | + | 0.0263398i | ||||
\(565\) | 6.41284 | + | 5.11407i | 0.269790 | + | 0.215150i | ||||
\(566\) | −35.7490 | − | 0.837584i | −1.50264 | − | 0.0352063i | ||||
\(567\) | −2.43898 | − | 1.02538i | −0.102427 | − | 0.0430618i | ||||
\(568\) | −5.45656 | + | 9.55056i | −0.228952 | + | 0.400733i | ||||
\(569\) | 0.861680 | 0.0361235 | 0.0180617 | − | 0.999837i | \(-0.494250\pi\) | ||||
0.0180617 | + | 0.999837i | \(0.494250\pi\) | |||||||
\(570\) | −4.26782 | + | 3.24289i | −0.178759 | + | 0.135830i | ||||
\(571\) | 19.7260 | − | 15.7309i | 0.825505 | − | 0.658319i | −0.116769 | − | 0.993159i | \(-0.537254\pi\) |
0.942275 | + | 0.334841i | \(0.108682\pi\) | |||||||
\(572\) | 57.2670 | + | 2.68496i | 2.39446 | + | 0.112264i | ||||
\(573\) | −3.54076 | + | 7.35247i | −0.147917 | + | 0.307154i | ||||
\(574\) | 28.7192 | + | 5.73219i | 1.19872 | + | 0.239257i | ||||
\(575\) | −5.22731 | − | 10.8546i | −0.217994 | − | 0.452669i | ||||
\(576\) | 7.92111 | + | 1.12072i | 0.330046 | + | 0.0466965i | ||||
\(577\) | −2.14458 | − | 4.45327i | −0.0892801 | − | 0.185392i | 0.851548 | − | 0.524277i | \(-0.175664\pi\) |
−0.940828 | + | 0.338885i | \(0.889950\pi\) | |||||||
\(578\) | −39.4537 | + | 47.1633i | −1.64106 | + | 1.96174i | ||||
\(579\) | −9.34825 | − | 4.50188i | −0.388500 | − | 0.187092i | ||||
\(580\) | −4.30809 | + | 7.96810i | −0.178884 | + | 0.330858i | ||||
\(581\) | −15.9908 | + | 0.813345i | −0.663409 | + | 0.0337432i | ||||
\(582\) | −2.80859 | − | 2.34948i | −0.116420 | − | 0.0973891i | ||||
\(583\) | 21.2660 | + | 4.85382i | 0.880747 | + | 0.201025i | ||||
\(584\) | 18.1865 | + | 5.51982i | 0.752563 | + | 0.228412i | ||||
\(585\) | −0.716814 | + | 3.14057i | −0.0296366 | + | 0.129847i | ||||
\(586\) | −11.3173 | + | 22.1574i | −0.467513 | + | 0.915316i | ||||
\(587\) | −17.4203 | −0.719013 | −0.359507 | − | 0.933143i | \(-0.617055\pi\) | ||||
−0.359507 | + | 0.933143i | \(0.617055\pi\) | |||||||
\(588\) | 2.36318 | − | 13.7991i | 0.0974560 | − | 0.569066i | ||||
\(589\) | 25.0600 | 1.03258 | ||||||||
\(590\) | −2.27805 | + | 4.46006i | −0.0937858 | + | 0.183618i | ||||
\(591\) | 0.920930 | − | 4.03486i | 0.0378820 | − | 0.165972i | ||||
\(592\) | −8.25126 | + | 3.05970i | −0.339125 | + | 0.125753i | ||||
\(593\) | 0.721158 | + | 0.164600i | 0.0296144 | + | 0.00675930i | 0.237302 | − | 0.971436i | \(-0.423737\pi\) |
−0.207688 | + | 0.978195i | \(0.566594\pi\) | |||||||
\(594\) | 6.25686 | + | 5.23407i | 0.256722 | + | 0.214757i | ||||
\(595\) | −7.77540 | + | 10.8367i | −0.318760 | + | 0.444261i | ||||
\(596\) | 13.9448 | + | 7.53950i | 0.571202 | + | 0.308830i | ||||
\(597\) | 9.38989 | + | 4.52193i | 0.384303 | + | 0.185070i | ||||
\(598\) | −11.8624 | + | 14.1804i | −0.485088 | + | 0.579879i | ||||
\(599\) | 8.79380 | + | 18.2605i | 0.359305 | + | 0.746105i | 0.999760 | − | 0.0218908i | \(-0.00696861\pi\) |
−0.640455 | + | 0.767995i | \(0.721254\pi\) | |||||||
\(600\) | 11.2474 | + | 6.42601i | 0.459172 | + | 0.262341i | ||||
\(601\) | −1.75731 | − | 3.64910i | −0.0716824 | − | 0.148850i | 0.862048 | − | 0.506826i | \(-0.169181\pi\) |
−0.933731 | + | 0.357976i | \(0.883467\pi\) | |||||||
\(602\) | 2.87542 | − | 0.739711i | 0.117193 | − | 0.0301484i | ||||
\(603\) | −5.26085 | + | 10.9243i | −0.214238 | + | 0.444870i | ||||
\(604\) | 0.612559 | − | 13.0652i | 0.0249247 | − | 0.531614i | ||||
\(605\) | −11.2874 | + | 9.00139i | −0.458897 | + | 0.365958i | ||||
\(606\) | 15.3684 | − | 11.6776i | 0.624297 | − | 0.474370i | ||||
\(607\) | 7.21238 | 0.292742 | 0.146371 | − | 0.989230i | \(-0.453241\pi\) | ||||
0.146371 | + | 0.989230i | \(0.453241\pi\) | |||||||
\(608\) | 23.5030 | − | 23.2725i | 0.953172 | − | 0.943826i | ||||
\(609\) | −10.7766 | + | 15.0195i | −0.436690 | + | 0.608622i | ||||
\(610\) | 3.88839 | + | 0.0911034i | 0.157436 | + | 0.00368867i | ||||
\(611\) | 1.61644 | + | 1.28907i | 0.0653943 | + | 0.0521502i | ||||
\(612\) | −11.6929 | − | 10.2565i | −0.472657 | − | 0.414593i | ||||
\(613\) | 1.50105 | + | 0.722869i | 0.0606269 | + | 0.0291964i | 0.463952 | − | 0.885861i | \(-0.346431\pi\) |
−0.403325 | + | 0.915057i | \(0.632145\pi\) | |||||||
\(614\) | −0.878566 | − | 0.0205844i | −0.0354560 | − | 0.000830720i | ||||
\(615\) | 3.16333 | − | 3.96669i | 0.127558 | − | 0.159952i | ||||
\(616\) | −19.4817 | + | 38.5187i | −0.784940 | + | 1.55196i | ||||
\(617\) | 21.2565 | + | 26.6548i | 0.855755 | + | 1.07308i | 0.996546 | + | 0.0830432i | \(0.0264639\pi\) |
−0.140791 | + | 0.990039i | \(0.544965\pi\) | |||||||
\(618\) | −10.8928 | − | 14.3355i | −0.438171 | − | 0.576658i | ||||
\(619\) | −8.35200 | −0.335695 | −0.167848 | − | 0.985813i | \(-0.553682\pi\) | ||||
−0.167848 | + | 0.985813i | \(0.553682\pi\) | |||||||
\(620\) | 2.17377 | + | 5.11364i | 0.0873005 | + | 0.205369i | ||||
\(621\) | −2.56466 | + | 0.585368i | −0.102916 | + | 0.0234900i | ||||
\(622\) | −4.92771 | − | 24.1881i | −0.197583 | − | 0.969855i | ||||
\(623\) | 0.937571 | + | 18.4331i | 0.0375630 | + | 0.738507i | ||||
\(624\) | 1.85987 | − | 19.7908i | 0.0744543 | − | 0.792266i | ||||
\(625\) | 11.7676 | + | 14.7561i | 0.470703 | + | 0.590242i | ||||
\(626\) | −12.1779 | + | 23.8424i | −0.486727 | + | 0.952932i | ||||
\(627\) | 32.8810 | − | 7.50488i | 1.31314 | − | 0.299716i | ||||
\(628\) | −30.3735 | − | 26.6422i | −1.21203 | − | 1.06314i | ||||
\(629\) | 16.6807 | + | 3.80726i | 0.665103 | + | 0.151805i | ||||
\(630\) | −1.93698 | − | 1.45972i | −0.0771711 | − | 0.0581565i | ||||
\(631\) | 24.0079 | − | 5.47965i | 0.955739 | − | 0.218141i | 0.283913 | − | 0.958850i | \(-0.408367\pi\) |
0.671826 | + | 0.740709i | \(0.265510\pi\) | |||||||
\(632\) | −7.33503 | + | 1.13954i | −0.291772 | + | 0.0453284i | ||||
\(633\) | −7.55891 | − | 6.02803i | −0.300440 | − | 0.239593i | ||||
\(634\) | −20.1064 | + | 9.10888i | −0.798528 | + | 0.361760i | ||||
\(635\) | −10.2031 | + | 4.91357i | −0.404899 | + | 0.194989i | ||||
\(636\) | 2.02645 | − | 7.28664i | 0.0803538 | − | 0.288934i | ||||
\(637\) | −34.5247 | − | 4.25968i | −1.36792 | − | 0.168775i | ||||
\(638\) | 45.3811 | − | 34.4826i | 1.79665 | − | 1.36518i | ||||
\(639\) | 1.68732 | + | 3.50376i | 0.0667495 | + | 0.138607i | ||||
\(640\) | 6.78760 | + | 2.77720i | 0.268303 | + | 0.109779i | ||||
\(641\) | −16.8360 | + | 21.1117i | −0.664983 | + | 0.833862i | −0.993876 | − | 0.110505i | \(-0.964753\pi\) |
0.328893 | + | 0.944367i | \(0.393325\pi\) | |||||||
\(642\) | −10.8984 | − | 24.0566i | −0.430128 | − | 0.949439i | ||||
\(643\) | −6.67320 | − | 29.2372i | −0.263165 | − | 1.15300i | −0.917796 | − | 0.397053i | \(-0.870033\pi\) |
0.654631 | − | 0.755949i | \(-0.272824\pi\) | |||||||
\(644\) | −6.08936 | − | 12.5173i | −0.239954 | − | 0.493252i | ||||
\(645\) | 0.114458 | − | 0.501473i | 0.00450677 | − | 0.0197455i | ||||
\(646\) | −63.0121 | + | 12.8371i | −2.47918 | + | 0.505069i | ||||
\(647\) | −2.29370 | − | 10.0494i | −0.0901746 | − | 0.395081i | 0.909618 | − | 0.415446i | \(-0.136374\pi\) |
−0.999793 | + | 0.0203648i | \(0.993517\pi\) | |||||||
\(648\) | 1.91442 | − | 2.08207i | 0.0752055 | − | 0.0817913i | ||||
\(649\) | 24.6372 | − | 19.6475i | 0.967095 | − | 0.771233i | ||||
\(650\) | 14.6407 | − | 28.6641i | 0.574254 | − | 1.12430i | ||||
\(651\) | 3.08162 | + | 10.9128i | 0.120778 | + | 0.427707i | ||||
\(652\) | −23.6101 | − | 20.7097i | −0.924643 | − | 0.811055i | ||||
\(653\) | 5.83949 | + | 25.5845i | 0.228517 | + | 1.00120i | 0.950850 | + | 0.309653i | \(0.100213\pi\) |
−0.722333 | + | 0.691546i | \(0.756930\pi\) | |||||||
\(654\) | −4.45324 | + | 17.5999i | −0.174136 | + | 0.688212i | ||||
\(655\) | 4.50919i | 0.176188i | ||||||||
\(656\) | −16.1635 | + | 26.8126i | −0.631079 | + | 1.04686i | ||||
\(657\) | 5.25354 | − | 4.18956i | 0.204960 | − | 0.163450i | ||||
\(658\) | −1.38349 | + | 0.713580i | −0.0539341 | + | 0.0278182i | ||||
\(659\) | 38.7376 | + | 30.8922i | 1.50900 | + | 1.20339i | 0.917911 | + | 0.396787i | \(0.129875\pi\) |
0.591093 | + | 0.806604i | \(0.298697\pi\) | |||||||
\(660\) | 4.38359 | + | 6.05857i | 0.170631 | + | 0.235829i | ||||
\(661\) | 16.8068 | − | 34.8997i | 0.653710 | − | 1.35744i | −0.265667 | − | 0.964065i | \(-0.585592\pi\) |
0.919377 | − | 0.393378i | \(-0.128694\pi\) | |||||||
\(662\) | −4.61107 | + | 0.939389i | −0.179214 | + | 0.0365104i | ||||
\(663\) | −24.0961 | + | 30.2156i | −0.935816 | + | 1.17348i | ||||
\(664\) | 4.97126 | − | 16.3792i | 0.192922 | − | 0.635634i | ||||
\(665\) | −9.65042 | + | 2.72514i | −0.374227 | + | 0.105676i | ||||
\(666\) | −0.763206 | + | 3.01631i | −0.0295736 | + | 0.116880i | ||||
\(667\) | 18.3800i | 0.711676i | ||||||||
\(668\) | 9.04487 | − | 32.5233i | 0.349957 | − | 1.25836i | ||||
\(669\) | 0.251179 | + | 0.314968i | 0.00971113 | + | 0.0121774i | ||||
\(670\) | −7.13191 | + | 8.52556i | −0.275530 | + | 0.329371i | ||||
\(671\) | −22.0496 | − | 10.6185i | −0.851214 | − | 0.409923i | ||||
\(672\) | 13.0246 | + | 7.37296i | 0.502434 | + | 0.284418i | ||||
\(673\) | −14.5208 | + | 6.99284i | −0.559735 | + | 0.269554i | −0.692287 | − | 0.721622i | \(-0.743397\pi\) |
0.132553 | + | 0.991176i | \(0.457683\pi\) | |||||||
\(674\) | 1.80253 | − | 7.12391i | 0.0694311 | − | 0.274403i | ||||
\(675\) | 4.12627 | − | 1.98711i | 0.158820 | − | 0.0764837i | ||||
\(676\) | −23.3662 | − | 1.09552i | −0.898701 | − | 0.0421355i | ||||
\(677\) | −16.2403 | + | 33.7234i | −0.624166 | + | 1.29609i | 0.313840 | + | 0.949476i | \(0.398384\pi\) |
−0.938006 | + | 0.346619i | \(0.887330\pi\) | |||||||
\(678\) | −16.3002 | + | 7.38453i | −0.626005 | + | 0.283601i | ||||
\(679\) | −3.28199 | − | 6.01310i | −0.125951 | − | 0.230762i | ||||
\(680\) | −8.08530 | − | 11.7444i | −0.310057 | − | 0.450379i | ||||
\(681\) | −1.09567 | + | 4.80046i | −0.0419863 | + | 0.183954i | ||||
\(682\) | 0.818930 | − | 34.9528i | 0.0313584 | − | 1.33841i | ||||
\(683\) | −15.9739 | − | 3.64594i | −0.611225 | − | 0.139508i | −0.0943072 | − | 0.995543i | \(-0.530064\pi\) |
−0.516918 | + | 0.856035i | \(0.672921\pi\) | |||||||
\(684\) | −2.06537 | − | 11.5102i | −0.0789714 | − | 0.440103i | ||||
\(685\) | 0.247988i | 0.00947515i | ||||||||
\(686\) | 13.5595 | − | 22.4085i | 0.517704 | − | 0.855560i | ||||
\(687\) | 3.99647i | 0.152475i | ||||||||
\(688\) | −0.296976 | + | 3.16011i | −0.0113221 | + | 0.120478i | ||||
\(689\) | −18.3214 | − | 4.18175i | −0.697991 | − | 0.159312i | ||||
\(690\) | −2.41089 | − | 0.0564860i | −0.0917808 | − | 0.00215039i | ||||
\(691\) | 3.97097 | − | 17.3979i | 0.151063 | − | 0.661849i | −0.841515 | − | 0.540234i | \(-0.818336\pi\) |
0.992577 | − | 0.121615i | \(-0.0388073\pi\) | |||||||
\(692\) | −1.44618 | + | 30.8452i | −0.0549754 | + | 1.17256i | ||||
\(693\) | 7.31148 | + | 13.3957i | 0.277740 | + | 0.508861i | ||||
\(694\) | 14.3438 | + | 31.6616i | 0.544482 | + | 1.20186i | ||||
\(695\) | 0.335947 | − | 0.697602i | 0.0127432 | − | 0.0264615i | ||||
\(696\) | −11.2061 | − | 16.2777i | −0.424767 | − | 0.617003i | ||||
\(697\) | 54.8411 | − | 26.4101i | 2.07726 | − | 1.00035i | ||||
\(698\) | −27.7159 | − | 7.01286i | −1.04906 | − | 0.265441i | ||||
\(699\) | 14.0227 | − | 6.75296i | 0.530386 | − | 0.255421i | ||||
\(700\) | 15.1848 | + | 18.8868i | 0.573931 | + | 0.713856i | ||||
\(701\) | −4.56261 | − | 2.19724i | −0.172328 | − | 0.0829886i | 0.345731 | − | 0.938334i | \(-0.387631\pi\) |
−0.518059 | + | 0.855345i | \(0.673345\pi\) | |||||||
\(702\) | −5.39052 | − | 4.50935i | −0.203452 | − | 0.170194i | ||||
\(703\) | 8.02048 | + | 10.0574i | 0.302498 | + | 0.379321i | ||||
\(704\) | −31.6916 | − | 33.5416i | −1.19442 | − | 1.26415i | ||||
\(705\) | 0.269685i | 0.0101569i | ||||||||
\(706\) | −9.83126 | − | 2.48757i | −0.370004 | − | 0.0936208i | ||||
\(707\) | 34.7510 | − | 9.81318i | 1.30695 | − | 0.369063i | ||||
\(708\) | −6.40484 | − | 8.85213i | −0.240708 | − | 0.332683i | ||||
\(709\) | −11.0506 | + | 13.8570i | −0.415015 | + | 0.520412i | −0.944768 | − | 0.327740i | \(-0.893713\pi\) |
0.529753 | + | 0.848152i | \(0.322285\pi\) | |||||||
\(710\) | 0.711665 | + | 3.49327i | 0.0267083 | + | 0.131100i | ||||
\(711\) | −1.13870 | + | 2.36453i | −0.0427045 | + | 0.0886769i | ||||
\(712\) | −18.8808 | − | 5.73055i | −0.707588 | − | 0.214761i | ||||
\(713\) | 8.81492 | + | 7.02966i | 0.330121 | + | 0.263263i | ||||
\(714\) | −13.3387 | − | 25.8611i | −0.499188 | − | 0.967827i | ||||
\(715\) | 14.5274 | − | 11.5852i | 0.543294 | − | 0.433262i | ||||
\(716\) | 27.0580 | + | 7.52496i | 1.01121 | + | 0.281221i | ||||
\(717\) | 13.2483i | 0.494766i | ||||||||
\(718\) | 42.5103 | + | 10.7562i | 1.58647 | + | 0.401418i | ||||
\(719\) | −9.77167 | − | 42.8125i | −0.364422 | − | 1.59664i | −0.741829 | − | 0.670589i | \(-0.766042\pi\) |
0.377407 | − | 0.926047i | \(-0.376816\pi\) | |||||||
\(720\) | 2.16956 | − | 1.41987i | 0.0808549 | − | 0.0529155i | ||||
\(721\) | −9.15366 | − | 32.4155i | −0.340900 | − | 1.20722i | ||||
\(722\) | −19.1278 | − | 9.76987i | −0.711865 | − | 0.363597i | ||||
\(723\) | 11.9763 | − | 9.55076i | 0.445403 | − | 0.355197i | ||||
\(724\) | 24.2119 | − | 4.34454i | 0.899827 | − | 0.161463i | ||||
\(725\) | −7.12042 | − | 31.1966i | −0.264446 | − | 1.15861i | ||||
\(726\) | −6.28760 | − | 30.8633i | −0.233355 | − | 1.14544i | ||||
\(727\) | 8.96489 | − | 39.2777i | 0.332489 | − | 1.45673i | −0.481805 | − | 0.876279i | \(-0.660019\pi\) |
0.814294 | − | 0.580452i | \(-0.197124\pi\) | |||||||
\(728\) | 16.7842 | − | 33.1853i | 0.622064 | − | 1.22993i | ||||
\(729\) | −0.222521 | − | 0.974928i | −0.00824152 | − | 0.0361084i | ||||
\(730\) | 5.61100 | − | 2.54197i | 0.207673 | − | 0.0940826i | ||||
\(731\) | 3.84757 | − | 4.82470i | 0.142307 | − | 0.178448i | ||||
\(732\) | −4.03577 | + | 7.46442i | −0.149166 | + | 0.275893i | ||||
\(733\) | −5.86717 | − | 12.1833i | −0.216709 | − | 0.450001i | 0.764067 | − | 0.645137i | \(-0.223200\pi\) |
−0.980776 | + | 0.195136i | \(0.937485\pi\) | |||||||
\(734\) | 10.5096 | + | 13.8312i | 0.387915 | + | 0.510517i | ||||
\(735\) | −2.37341 | − | 3.86733i | −0.0875446 | − | 0.142649i | ||||
\(736\) | 14.7955 | − | 1.59327i | 0.545369 | − | 0.0587288i | ||||
\(737\) | 63.0131 | − | 30.3455i | 2.32112 | − | 1.11779i | ||||
\(738\) | 4.56773 | + | 10.0825i | 0.168140 | + | 0.371143i | ||||
\(739\) | −3.59382 | − | 2.86597i | −0.132201 | − | 0.105427i | 0.555157 | − | 0.831745i | \(-0.312658\pi\) |
−0.687358 | + | 0.726319i | \(0.741230\pi\) | |||||||
\(740\) | −1.35655 | + | 2.50902i | −0.0498676 | + | 0.0922335i | ||||
\(741\) | −28.3282 | + | 6.46573i | −1.04066 | + | 0.237525i | ||||
\(742\) | 8.51569 | − | 11.2999i | 0.312621 | − | 0.414834i | ||||
\(743\) | 21.7133 | + | 4.95591i | 0.796582 | + | 0.181815i | 0.601395 | − | 0.798952i | \(-0.294612\pi\) |
0.195186 | + | 0.980766i | \(0.437469\pi\) | |||||||
\(744\) | −12.0926 | − | 0.851219i | −0.443336 | − | 0.0312072i | ||||
\(745\) | 5.00914 | − | 1.14330i | 0.183521 | − | 0.0418874i | ||||
\(746\) | 28.0734 | + | 14.3390i | 1.02784 | + | 0.524988i | ||||
\(747\) | −3.77321 | − | 4.73145i | −0.138054 | − | 0.173115i | ||||
\(748\) | 15.8456 | + | 88.3064i | 0.579371 | + | 3.22880i | ||||
\(749\) | −2.50986 | − | 49.3451i | −0.0917083 | − | 1.80303i | ||||
\(750\) | 8.60527 | − | 1.75310i | 0.314220 | − | 0.0640143i | ||||
\(751\) | −40.1406 | + | 9.16182i | −1.46475 | + | 0.334320i | −0.879253 | − | 0.476355i | \(-0.841958\pi\) |
−0.585497 | + | 0.810675i | \(0.699101\pi\) | |||||||
\(752\) | −0.216884 | − | 1.64996i | −0.00790894 | − | 0.0601680i | ||||
\(753\) | 1.40893 | 0.0513443 | ||||||||
\(754\) | −39.0975 | + | 29.7081i | −1.42385 | + | 1.08190i | ||||
\(755\) | −2.64310 | − | 3.31435i | −0.0961924 | − | 0.120621i | ||||
\(756\) | 4.75833 | − | 2.31480i | 0.173059 | − | 0.0841885i | ||||
\(757\) | 26.3752 | − | 33.0735i | 0.958625 | − | 1.20208i | −0.0207006 | − | 0.999786i | \(-0.506590\pi\) |
0.979325 | − | 0.202292i | \(-0.0648389\pi\) | |||||||
\(758\) | −1.10893 | + | 47.3304i | −0.0402782 | + | 1.71912i | ||||
\(759\) | 13.6712 | + | 6.58370i | 0.496233 | + | 0.238973i | ||||
\(760\) | 0.752750 | − | 10.6937i | 0.0273051 | − | 0.387902i | ||||
\(761\) | 22.9046 | + | 18.2658i | 0.830292 | + | 0.662136i | 0.943477 | − | 0.331438i | \(-0.107534\pi\) |
−0.113185 | + | 0.993574i | \(0.536105\pi\) | |||||||
\(762\) | 0.578710 | − | 24.7000i | 0.0209645 | − | 0.894786i | ||||
\(763\) | −19.8001 | + | 27.5956i | −0.716810 | + | 0.999030i | ||||
\(764\) | −6.38507 | − | 15.0205i | −0.231004 | − | 0.543421i | ||||
\(765\) | −5.04113 | −0.182262 | ||||||||
\(766\) | −16.6427 | − | 21.9028i | −0.601326 | − | 0.791379i | ||||
\(767\) | −21.2259 | + | 16.9271i | −0.766422 | + | 0.611201i | ||||
\(768\) | −12.1318 | + | 10.4317i | −0.437767 | + | 0.376422i | ||||
\(769\) | −4.26600 | + | 8.85844i | −0.153836 | + | 0.319443i | −0.963616 | − | 0.267290i | \(-0.913872\pi\) |
0.809780 | + | 0.586733i | \(0.199586\pi\) | |||||||
\(770\) | 3.48555 | + | 13.5491i | 0.125611 | + | 0.488276i | ||||
\(771\) | 10.4401 | + | 21.6791i | 0.375991 | + | 0.780753i | ||||
\(772\) | 19.0977 | − | 8.11826i | 0.687340 | − | 0.292182i | ||||
\(773\) | −5.01566 | − | 10.4151i | −0.180401 | − | 0.374606i | 0.791084 | − | 0.611707i | \(-0.209517\pi\) |
−0.971485 | + | 0.237101i | \(0.923803\pi\) | |||||||
\(774\) | 0.860735 | + | 0.720033i | 0.0309385 | + | 0.0258811i | ||||
\(775\) | −17.6850 | − | 8.51664i | −0.635263 | − | 0.305927i | ||||
\(776\) | 7.23664 | − | 1.12425i | 0.259780 | − | 0.0403583i | ||||
\(777\) | −3.39337 | + | 4.72940i | −0.121737 | + | 0.169666i | ||||
\(778\) | −2.89488 | + | 3.46057i | −0.103787 | + | 0.124067i | ||||
\(779\) | 44.6168 | + | 10.1835i | 1.59856 | + | 0.364861i | ||||
\(780\) | −3.77663 | − | 5.21968i | −0.135225 | − | 0.186895i | ||||
\(781\) | 4.99154 | − | 21.8694i | 0.178611 | − | 0.782548i | ||||
\(782\) | −25.7656 | − | 13.1602i | −0.921376 | − | 0.470609i | ||||
\(783\) | −6.98694 | −0.249693 | ||||||||
\(784\) | 17.6309 | + | 21.7520i | 0.629676 | + | 0.776858i | ||||
\(785\) | −13.0948 | −0.467375 | ||||||||
\(786\) | −8.76098 | − | 4.47482i | −0.312494 | − | 0.159612i | ||||
\(787\) | 8.90091 | − | 38.9975i | 0.317283 | − | 1.39011i | −0.525013 | − | 0.851094i | \(-0.675940\pi\) |
0.842296 | − | 0.539015i | \(-0.181203\pi\) | |||||||
\(788\) | 4.85204 | + | 6.70601i | 0.172847 | + | 0.238892i | ||||
\(789\) | −16.1243 | − | 3.68026i | −0.574039 | − | 0.131021i | ||||
\(790\) | −1.54369 | + | 1.84534i | −0.0549219 | + | 0.0656542i | ||||
\(791\) | −33.4351 | + | 1.70062i | −1.18881 | + | 0.0604671i | ||||
\(792\) | −16.1215 | + | 2.50456i | −0.572852 | + | 0.0889958i | ||||
\(793\) | 18.9965 | + | 9.14824i | 0.674586 | + | 0.324864i | ||||
\(794\) | 16.9845 | + | 14.2081i | 0.602758 | + | 0.504227i | ||||
\(795\) | −1.06358 | − | 2.20855i | −0.0377213 | − | 0.0783291i | ||||
\(796\) | −19.1827 | + | 8.15442i | −0.679914 | + | 0.289026i | ||||
\(797\) | 12.1586 | + | 25.2476i | 0.430680 | + | 0.894316i | 0.997513 | + | 0.0704836i | \(0.0224542\pi\) |
−0.566833 | + | 0.823833i | \(0.691831\pi\) | |||||||
\(798\) | 4.28216 | − | 21.4544i | 0.151587 | − | 0.759476i | ||||
\(799\) | −1.40382 | + | 2.91507i | −0.0496638 | + | 0.103128i | ||||
\(800\) | −24.4953 | + | 8.43607i | −0.866041 | + | 0.298260i | ||||
\(801\) | −5.45411 | + | 4.34951i | −0.192712 | + | 0.153682i | ||||
\(802\) | 18.3881 | + | 24.1998i | 0.649306 | + | 0.854523i | ||||
\(803\) | −38.7595 | −1.36779 | ||||||||
\(804\) | −9.48691 | − | 22.3173i | −0.334577 | − | 0.787071i | ||||
\(805\) | −4.15899 | − | 1.74850i | −0.146585 | − | 0.0616264i | ||||
\(806\) | −0.705538 | + | 30.1131i | −0.0248515 | + | 1.06069i | ||||
\(807\) | −6.56580 | − | 5.23605i | −0.231127 | − | 0.184318i | ||||
\(808\) | −2.71064 | + | 38.5080i | −0.0953601 | + | 1.35471i | ||||
\(809\) | 15.0722 | + | 7.25838i | 0.529910 | + | 0.255191i | 0.679653 | − | 0.733534i | \(-0.262130\pi\) |
−0.149743 | + | 0.988725i | \(0.547845\pi\) | |||||||
\(810\) | 0.0214725 | − | 0.916471i | 0.000754468 | − | 0.0322015i | ||||
\(811\) | −11.7029 | + | 14.6749i | −0.410943 | + | 0.515307i | −0.943628 | − | 0.331007i | \(-0.892612\pi\) |
0.532685 | + | 0.846314i | \(0.321183\pi\) | |||||||
\(812\) | −8.36991 | − | 36.0115i | −0.293726 | − | 1.26376i | ||||
\(813\) | 10.9679 | + | 13.7533i | 0.384661 | + | 0.482349i | ||||
\(814\) | 14.2897 | − | 10.8580i | 0.500855 | − | 0.380573i | ||||
\(815\) | −10.1790 | −0.356554 | ||||||||
\(816\) | 30.8422 | − | 4.05413i | 1.07969 | − | 0.141923i | ||||
\(817\) | 4.52333 | − | 1.03242i | 0.158251 | − | 0.0361198i | ||||
\(818\) | 24.5593 | − | 5.00334i | 0.858697 | − | 0.174938i | ||||
\(819\) | −6.29912 | − | 11.5409i | −0.220109 | − | 0.403272i | ||||
\(820\) | 1.79217 | + | 9.98765i | 0.0625852 | + | 0.348784i | ||||
\(821\) | −32.3923 | − | 40.6187i | −1.13050 | − | 1.41760i | −0.895191 | − | 0.445682i | \(-0.852961\pi\) |
−0.235309 | − | 0.971921i | \(-0.575610\pi\) | |||||||
\(822\) | −0.481821 | − | 0.246099i | −0.0168055 | − | 0.00858367i | ||||
\(823\) | −11.7656 | + | 2.68543i | −0.410124 | + | 0.0936082i | −0.422605 | − | 0.906314i | \(-0.638884\pi\) |
0.0124807 | + | 0.999922i | \(0.496027\pi\) | |||||||
\(824\) | 35.9199 | + | 2.52847i | 1.25133 | + | 0.0880834i | ||||
\(825\) | −25.7548 | − | 5.87837i | −0.896668 | − | 0.204659i | ||||
\(826\) | −5.09272 | − | 19.7965i | −0.177198 | − | 0.688809i | ||||
\(827\) | 15.6051 | − | 3.56176i | 0.542643 | − | 0.123855i | 0.0575912 | − | 0.998340i | \(-0.481658\pi\) |
0.485052 | + | 0.874486i | \(0.338801\pi\) | |||||||
\(828\) | 2.50226 | − | 4.62810i | 0.0869595 | − | 0.160838i | ||||
\(829\) | 33.5125 | + | 26.7253i | 1.16394 | + | 0.928209i | 0.998318 | − | 0.0579809i | \(-0.0184663\pi\) |
0.165619 | + | 0.986190i | \(0.447038\pi\) | |||||||
\(830\) | −2.28935 | − | 5.05339i | −0.0794646 | − | 0.175406i | ||||
\(831\) | 25.2381 | − | 12.1540i | 0.875501 | − | 0.421619i | ||||
\(832\) | 27.3035 | + | 28.8974i | 0.946580 | + | 1.00184i | ||||
\(833\) | −5.52352 | − | 54.1572i | −0.191379 | − | 1.87643i | ||||
\(834\) | 1.02200 | + | 1.34500i | 0.0353888 | + | 0.0465737i | ||||
\(835\) | −4.74720 | − | 9.85766i | −0.164284 | − | 0.341139i | ||||
\(836\) | −32.0810 | + | 59.3359i | −1.10954 | + | 2.05218i | ||||
\(837\) | −2.67225 | + | 3.35089i | −0.0923664 | + | 0.115824i | ||||
\(838\) | −15.1050 | + | 6.84308i | −0.521794 | + | 0.236390i | ||||
\(839\) | 5.71645 | + | 25.0454i | 0.197354 | + | 0.864663i | 0.972504 | + | 0.232886i | \(0.0748170\pi\) |
−0.775150 | + | 0.631777i | \(0.782326\pi\) | |||||||
\(840\) | 4.74932 | − | 0.987202i | 0.163867 | − | 0.0340617i | ||||
\(841\) | −4.40978 | + | 19.3205i | −0.152061 | + | 0.666225i | ||||
\(842\) | 8.31146 | + | 40.7976i | 0.286432 | + | 1.40598i | ||||
\(843\) | 3.98388 | + | 17.4545i | 0.137212 | + | 0.601165i | ||||
\(844\) | 19.0324 | − | 3.41515i | 0.655123 | − | 0.117554i | ||||
\(845\) | −5.92750 | + | 4.72702i | −0.203912 | + | 0.162615i | ||||
\(846\) | −0.523977 | − | 0.267630i | −0.0180147 | − | 0.00920132i | ||||
\(847\) | 10.1771 | − | 58.0404i | 0.349688 | − | 1.99429i | ||||
\(848\) | 8.28324 | + | 12.6568i | 0.284448 | + | 0.434636i | ||||
\(849\) | −5.62651 | − | 24.6513i | −0.193101 | − | 0.846032i | ||||
\(850\) | 48.8306 | + | 12.3554i | 1.67488 | + | 0.423787i | ||||
\(851\) | 5.78755i | 0.198395i | ||||||||
\(852\) | −7.49339 | − | 2.08394i | −0.256719 | − | 0.0713947i | ||||
\(853\) | 40.2729 | − | 32.1165i | 1.37892 | − | 1.09965i | 0.395465 | − | 0.918481i | \(-0.370583\pi\) |
0.983452 | − | 0.181168i | \(-0.0579879\pi\) | |||||||
\(854\) | −12.1359 | + | 10.2342i | −0.415280 | + | 0.350207i | ||||
\(855\) | −2.96326 | − | 2.36312i | −0.101341 | − | 0.0808171i | ||||
\(856\) | 50.5436 | + | 15.3406i | 1.72754 | + | 0.524330i | ||||
\(857\) | −12.4034 | + | 25.7559i | −0.423692 | + | 0.879806i | 0.574430 | + | 0.818554i | \(0.305224\pi\) |
−0.998122 | + | 0.0612525i | \(0.980491\pi\) | |||||||
\(858\) | 8.09244 | + | 39.7225i | 0.276271 | + | 1.35610i | ||||
\(859\) | −5.23668 | + | 6.56659i | −0.178673 | + | 0.224049i | −0.863101 | − | 0.505032i | \(-0.831481\pi\) |
0.684427 | + | 0.729081i | \(0.260052\pi\) | |||||||
\(860\) | 0.603036 | + | 0.833457i | 0.0205633 | + | 0.0284206i | ||||
\(861\) | 1.05193 | + | 20.6814i | 0.0358495 | + | 0.704820i | ||||
\(862\) | 34.9767 | + | 8.85002i | 1.19131 | + | 0.301433i | ||||
\(863\) | − | 5.56570i | − | 0.189459i | −0.995503 | − | 0.0947293i | \(-0.969801\pi\) | ||
0.995503 | − | 0.0947293i | \(-0.0301986\pi\) | |||||||
\(864\) | 0.605665 | + | 5.62434i | 0.0206051 | + | 0.191344i | ||||
\(865\) | 6.24004 | + | 7.82476i | 0.212168 | + | 0.266050i | ||||
\(866\) | 33.0705 | + | 27.6645i | 1.12378 | + | 0.940079i | ||||
\(867\) | −39.1739 | − | 18.8652i | −1.33042 | − | 0.640694i | ||||
\(868\) | −20.4721 | − | 9.75893i | −0.694868 | − | 0.331240i | ||||
\(869\) | 13.6390 | − | 6.56822i | 0.462673 | − | 0.222812i | ||||
\(870\) | −6.20940 | − | 1.57114i | −0.210518 | − | 0.0532667i | ||||
\(871\) | −54.2881 | + | 26.1438i | −1.83948 | + | 0.885848i | ||||
\(872\) | −20.5892 | − | 29.9072i | −0.697238 | − | 1.01279i | ||||
\(873\) | 1.12343 | − | 2.33282i | 0.0380222 | − | 0.0789539i | ||||
\(874\) | −8.97636 | − | 19.8139i | −0.303630 | − | 0.670216i | ||||
\(875\) | 16.1828 | + | 2.83756i | 0.547078 | + | 0.0959271i | ||||
\(876\) | −0.629398 | + | 13.4243i | −0.0212654 | + | 0.453566i | ||||
\(877\) | −9.90402 | + | 43.3923i | −0.334435 | + | 1.46526i | 0.476010 | + | 0.879440i | \(0.342083\pi\) |
−0.810445 | + | 0.585815i | \(0.800774\pi\) | |||||||
\(878\) | −15.0937 | − | 0.353640i | −0.509389 | − | 0.0119348i | ||||
\(879\) | −17.1520 | − | 3.91483i | −0.578522 | − | 0.132044i | ||||
\(880\) | −14.8906 | − | 1.39936i | −0.501962 | − | 0.0471726i | ||||
\(881\) | 48.1821i | 1.62330i | 0.584146 | + | 0.811648i | \(0.301429\pi\) | ||||
−0.584146 | + | 0.811648i | \(0.698571\pi\) | |||||||
\(882\) | 9.86923 | − | 0.773489i | 0.332314 | − | 0.0260447i | ||||
\(883\) | − | 45.2681i | − | 1.52339i | −0.647934 | − | 0.761696i | \(-0.724367\pi\) | ||
0.647934 | − | 0.761696i | \(-0.275633\pi\) | |||||||
\(884\) | −13.6515 | − | 76.0793i | −0.459151 | − | 2.55882i | ||||
\(885\) | −3.45251 | − | 0.788013i | −0.116055 | − | 0.0264888i | ||||
\(886\) | 0.401447 | − | 17.1342i | 0.0134869 | − | 0.575635i | ||||
\(887\) | −11.6360 | + | 50.9808i | −0.390700 | + | 1.71177i | 0.271499 | + | 0.962439i | \(0.412481\pi\) |
−0.662199 | + | 0.749328i | \(0.730377\pi\) | |||||||
\(888\) | −3.52862 | − | 5.12556i | −0.118413 | − | 0.172003i | ||||
\(889\) | 17.9137 | − | 42.6097i | 0.600805 | − | 1.42908i | ||||
\(890\) | −5.82522 | + | 2.63902i | −0.195262 | + | 0.0884601i | ||||
\(891\) | −2.50272 | + | 5.19695i | −0.0838442 | + | 0.174104i | ||||
\(892\) | −0.804835 | − | 0.0377346i | −0.0269479 | − | 0.00126345i | ||||
\(893\) | −2.19169 | + | 1.05546i | −0.0733420 | + | 0.0353197i | ||||
\(894\) | −2.74962 | + | 10.8669i | −0.0919611 | + | 0.363445i | ||||
\(895\) | 8.20117 | − | 3.94947i | 0.274135 | − | 0.132016i | ||||
\(896\) | −28.2630 | + | 9.85927i | −0.944199 | + | 0.329375i | ||||
\(897\) | −11.7782 | − | 5.67210i | −0.393264 | − | 0.189386i | ||||
\(898\) | 20.3992 | − | 24.3854i | 0.680730 | − | 0.813751i | ||||
\(899\) | 18.6708 | + | 23.4125i | 0.622708 | + | 0.780851i | ||||
\(900\) | −2.45419 | + | 8.82471i | −0.0818064 | + | 0.294157i | ||||
\(901\) | − | 29.4089i | − | 0.979753i | ||||||
\(902\) | 15.6616 | − | 61.8971i | 0.521473 | − | 2.06095i | ||||
\(903\) | 1.00582 | + | 1.84280i | 0.0334715 | + | 0.0613247i | ||||
\(904\) | 10.3944 | − | 34.2471i | 0.345713 | − | 1.13904i | ||||
\(905\) | 4.97086 | − | 6.23327i | 0.165237 | − | 0.207201i | ||||
\(906\) | 9.06247 | − | 1.84625i | 0.301080 | − | 0.0613374i | ||||
\(907\) | −23.2732 | + | 48.3272i | −0.772773 | + | 1.60468i | 0.0234868 | + | 0.999724i | \(0.492523\pi\) |
−0.796260 | + | 0.604955i | \(0.793191\pi\) | |||||||
\(908\) | −5.77269 | − | 7.97845i | −0.191574 | − | 0.264774i | ||||
\(909\) | 10.6707 | + | 8.50958i | 0.353924 | + | 0.282245i | ||||
\(910\) | −3.00294 | − | 11.6731i | −0.0995463 | − | 0.386958i | ||||
\(911\) | −15.4075 | + | 12.2871i | −0.510475 | + | 0.407090i | −0.844567 | − | 0.535450i | \(-0.820142\pi\) |
0.334092 | + | 0.942541i | \(0.391570\pi\) | |||||||
\(912\) | 20.0300 | + | 12.0748i | 0.663260 | + | 0.399835i | ||||
\(913\) | 34.9076i | 1.15527i | ||||||||
\(914\) | −2.27532 | + | 8.99244i | −0.0752610 | + | 0.297444i | ||||
\(915\) | 0.611991 | + | 2.68131i | 0.0202318 | + | 0.0886413i | ||||
\(916\) | −6.00888 | − | 5.27072i | −0.198539 | − | 0.174149i | ||||
\(917\) | −12.1911 | − | 13.7877i | −0.402587 | − | 0.455311i | ||||
\(918\) | 5.00271 | − | 9.79451i | 0.165114 | − | 0.323267i | ||||
\(919\) | −18.8400 | + | 15.0244i | −0.621475 | + | 0.495610i | −0.882867 | − | 0.469623i | \(-0.844390\pi\) |
0.261392 | + | 0.965233i | \(0.415818\pi\) | |||||||
\(920\) | 3.26451 | − | 3.55038i | 0.107628 | − | 0.117053i | ||||
\(921\) | −0.138277 | − | 0.605830i | −0.00455638 | − | 0.0199628i | ||||
\(922\) | −23.1607 | + | 4.71839i | −0.762755 | + | 0.155392i | ||||
\(923\) | −4.30040 | + | 18.8413i | −0.141549 | + | 0.620168i | ||||
\(924\) | −29.7838 | − | 6.67370i | −0.979815 | − | 0.219549i | ||||
\(925\) | −2.24210 | − | 9.82329i | −0.0737198 | − | 0.322988i | ||||
\(926\) | 5.47698 | + | 12.0896i | 0.179985 | + | 0.397288i | ||||
\(927\) | 7.93767 | − | 9.95353i | 0.260707 | − | 0.326917i | ||||
\(928\) | 39.2533 | + | 4.61874i | 1.28855 | + | 0.151618i | ||||
\(929\) | 6.41910 | + | 13.3294i | 0.210604 | + | 0.437323i | 0.979334 | − | 0.202250i | \(-0.0648253\pi\) |
−0.768730 | + | 0.639573i | \(0.779111\pi\) | |||||||
\(930\) | −3.12838 | + | 2.37709i | −0.102584 | + | 0.0779477i | ||||
\(931\) | 22.1404 | − | 34.4238i | 0.725621 | − | 1.12819i | ||||
\(932\) | −8.34031 | + | 29.9898i | −0.273196 | + | 0.982350i | ||||
\(933\) | 15.7263 | − | 7.57340i | 0.514857 | − | 0.247942i | ||||
\(934\) | −16.9870 | + | 7.69567i | −0.555831 | + | 0.251810i | ||||
\(935\) | 22.7342 | + | 18.1299i | 0.743488 | + | 0.592912i | ||||
\(936\) | 13.8893 | − | 2.15778i | 0.453985 | − | 0.0705291i | ||||
\(937\) | −27.1348 | + | 6.19334i | −0.886455 | + | 0.202328i | −0.641423 | − | 0.767187i | \(-0.721656\pi\) |
−0.245032 | + | 0.969515i | \(0.578799\pi\) | |||||||
\(938\) | −1.24266 | − | 45.3506i | −0.0405743 | − | 1.48075i | ||||
\(939\) | −18.4563 | − | 4.21252i | −0.602298 | − | 0.137471i | ||||
\(940\) | −0.405485 | − | 0.355673i | −0.0132255 | − | 0.0116008i | ||||
\(941\) | 25.4484 | − | 5.80842i | 0.829593 | − | 0.189349i | 0.213421 | − | 0.976960i | \(-0.431540\pi\) |
0.616173 | + | 0.787611i | \(0.288682\pi\) | |||||||
\(942\) | 12.9951 | − | 25.4422i | 0.423402 | − | 0.828952i | ||||
\(943\) | 12.8375 | + | 16.0977i | 0.418045 | + | 0.524212i | ||||
\(944\) | 21.7566 | + | 2.04460i | 0.708116 | + | 0.0665462i | ||||
\(945\) | 0.664671 | − | 1.58099i | 0.0216218 | − | 0.0514298i | ||||
\(946\) | −1.29217 | − | 6.34271i | −0.0420119 | − | 0.206219i | ||||
\(947\) | −20.0538 | + | 4.57716i | −0.651662 | + | 0.148738i | −0.535557 | − | 0.844499i | \(-0.679898\pi\) |
−0.116106 | + | 0.993237i | \(0.537041\pi\) | |||||||
\(948\) | −2.05342 | − | 4.83053i | −0.0666920 | − | 0.156888i | ||||
\(949\) | 33.3927 | 1.08397 | ||||||||
\(950\) | 22.9116 | + | 30.1530i | 0.743352 | + | 0.978292i | ||||
\(951\) | −9.73163 | − | 12.2031i | −0.315570 | − | 0.395712i | ||||
\(952\) | 56.4750 | + | 14.0514i | 1.83036 | + | 0.455408i | ||||
\(953\) | 1.24754 | − | 1.56437i | 0.0404118 | − | 0.0506748i | −0.761215 | − | 0.648500i | \(-0.775397\pi\) |
0.801627 | + | 0.597825i | \(0.203968\pi\) | |||||||
\(954\) | 5.34650 | + | 0.125266i | 0.173099 | + | 0.00405565i | ||||
\(955\) | −4.76602 | − | 2.29520i | −0.154225 | − | 0.0742708i | ||||
\(956\) | −19.9194 | − | 17.4724i | −0.644240 | − | 0.565098i | ||||
\(957\) | 31.5093 | + | 25.1278i | 1.01855 | + | 0.812268i | ||||
\(958\) | 11.7281 | + | 0.274784i | 0.378917 | + | 0.00887787i | ||||
\(959\) | −0.670468 | − | 0.758275i | −0.0216505 | − | 0.0244860i | ||||
\(960\) | −0.726471 | + | 5.13463i | −0.0234468 | + | 0.165719i | ||||
\(961\) | −12.6306 | −0.407439 | ||||||||
\(962\) | −12.3111 | + | 9.35458i | −0.396927 | + | 0.301604i | ||||
\(963\) | 14.6006 | − | 11.6436i | 0.470496 | − | 0.375208i | ||||
\(964\) | −1.43481 | + | 30.6028i | −0.0462122 | + | 0.985651i | ||||
\(965\) | 2.91821 | − | 6.05973i | 0.0939406 | − | 0.195070i | ||||
\(966\) | 7.52448 | − | 6.34541i | 0.242096 | − | 0.204160i | ||||
\(967\) | 14.8646 | + | 30.8668i | 0.478015 | + | 0.992608i | 0.990956 | + | 0.134184i | \(0.0428415\pi\) |
−0.512942 | + | 0.858424i | \(0.671444\pi\) | |||||||
\(968\) | 54.6967 | + | 31.2501i | 1.75802 | + | 1.00442i | ||||
\(969\) | −19.7293 | − | 40.9684i | −0.633798 | − | 1.31609i | ||||
\(970\) | 1.52298 | − | 1.82059i | 0.0489000 | − | 0.0584555i | ||||
\(971\) | −13.6801 | − | 6.58799i | −0.439015 | − | 0.211419i | 0.201302 | − | 0.979529i | \(-0.435483\pi\) |
−0.640317 | + | 0.768111i | \(0.721197\pi\) | |||||||
\(972\) | 1.75932 | + | 0.951206i | 0.0564302 | + | 0.0305100i | ||||
\(973\) | 0.858827 | + | 3.04133i | 0.0275327 | + | 0.0975007i | ||||
\(974\) | −12.3607 | − | 10.3401i | −0.396062 | − | 0.331319i | ||||
\(975\) | 22.1887 | + | 5.06444i | 0.710609 | + | 0.162192i | ||||
\(976\) | −5.90057 | − | 15.9124i | −0.188873 | − | 0.509342i | ||||
\(977\) | −4.15982 | + | 18.2253i | −0.133084 | + | 0.583080i | 0.863774 | + | 0.503879i | \(0.168094\pi\) |
−0.996859 | + | 0.0792016i | \(0.974763\pi\) | |||||||
\(978\) | 10.1014 | − | 19.7769i | 0.323007 | − | 0.632396i | ||||
\(979\) | 40.2392 | 1.28605 | ||||||||
\(980\) | 8.94487 | + | 1.53186i | 0.285733 | + | 0.0489336i | ||||
\(981\) | −12.8372 | −0.409861 | ||||||||
\(982\) | 3.17680 | − | 6.21966i | 0.101376 | − | 0.198477i | ||||
\(983\) | −4.61717 | + | 20.2291i | −0.147265 | + | 0.645210i | 0.846373 | + | 0.532590i | \(0.178781\pi\) |
−0.993638 | + | 0.112620i | \(0.964076\pi\) | |||||||
\(984\) | −21.1837 | − | 6.42950i | −0.675311 | − | 0.204965i | ||||
\(985\) | 2.61548 | + | 0.596966i | 0.0833361 | + | 0.0190209i | ||||
\(986\) | −58.9400 | − | 49.3052i | −1.87703 | − | 1.57020i | ||||
\(987\) | −0.729128 | − | 0.824618i | −0.0232084 | − | 0.0262479i | ||||
\(988\) | 27.6390 | − | 51.1201i | 0.879312 | − | 1.62635i | ||||
\(989\) | 1.88070 | + | 0.905697i | 0.0598028 | + | 0.0287995i | ||||
\(990\) | −3.39283 | + | 4.05583i | −0.107831 | + | 0.128903i | ||||
\(991\) | −19.1620 | − | 39.7903i | −0.608702 | − | 1.26398i | −0.946482 | − | 0.322757i | \(-0.895390\pi\) |
0.337780 | − | 0.941225i | \(-0.390324\pi\) | |||||||
\(992\) | 17.2281 | − | 17.0591i | 0.546992 | − | 0.541628i | ||||
\(993\) | −1.44375 | − | 2.99797i | −0.0458159 | − | 0.0951377i | ||||
\(994\) | −11.6206 | − | 8.75731i | −0.368582 | − | 0.277765i | ||||
\(995\) | −2.93121 | + | 6.08672i | −0.0929256 | + | 0.192962i | ||||
\(996\) | 12.0902 | + | 0.566849i | 0.383094 | + | 0.0179613i | ||||
\(997\) | −22.7515 | + | 18.1437i | −0.720547 | + | 0.574617i | −0.913621 | − | 0.406567i | \(-0.866726\pi\) |
0.193074 | + | 0.981184i | \(0.438154\pi\) | |||||||
\(998\) | 29.9688 | − | 22.7717i | 0.948647 | − | 0.720826i | ||||
\(999\) | −2.20007 | −0.0696072 |
(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 | 588.2.x.b.223.4 | yes | 168 | |
4.3 | odd | 2 | 588.2.x.a.223.12 | ✓ | 168 | ||
49.20 | odd | 14 | 588.2.x.a.559.12 | yes | 168 | ||
196.167 | even | 14 | inner | 588.2.x.b.559.4 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.x.a.223.12 | ✓ | 168 | 4.3 | odd | 2 | ||
588.2.x.a.559.12 | yes | 168 | 49.20 | odd | 14 | ||
588.2.x.b.223.4 | yes | 168 | 1.1 | even | 1 | trivial | |
588.2.x.b.559.4 | yes | 168 | 196.167 | even | 14 | inner |