Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(2,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 10, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.be (of order \(30\), degree \(8\), 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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 2.10 | ||
Character | \(\chi\) | \(=\) | 231.2 |
Dual form | 231.2.be.a.116.10 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.675892 | − | 0.750655i | −0.477928 | − | 0.530793i | 0.455175 | − | 0.890402i | \(-0.349577\pi\) |
−0.933103 | + | 0.359609i | \(0.882910\pi\) | |||||||
\(3\) | 1.68081 | − | 0.418192i | 0.970415 | − | 0.241444i | ||||
\(4\) | 0.102405 | − | 0.974320i | 0.0512026 | − | 0.487160i | ||||
\(5\) | −0.347823 | + | 1.63638i | −0.155551 | + | 0.731810i | 0.829355 | + | 0.558722i | \(0.188708\pi\) |
−0.984906 | + | 0.173088i | \(0.944625\pi\) | |||||||
\(6\) | −1.44996 | − | 0.979053i | −0.591945 | − | 0.399697i | ||||
\(7\) | 2.62714 | − | 0.313255i | 0.992966 | − | 0.118399i | ||||
\(8\) | −2.43498 | + | 1.76911i | −0.860895 | + | 0.625477i | ||||
\(9\) | 2.65023 | − | 1.40580i | 0.883410 | − | 0.468601i | ||||
\(10\) | 1.46344 | − | 0.844920i | 0.462782 | − | 0.267187i | ||||
\(11\) | 2.38536 | − | 2.30435i | 0.719214 | − | 0.694789i | ||||
\(12\) | −0.235330 | − | 1.68047i | −0.0679339 | − | 0.485110i | ||||
\(13\) | −0.659160 | − | 0.214174i | −0.182818 | − | 0.0594012i | 0.216177 | − | 0.976354i | \(-0.430641\pi\) |
−0.398995 | + | 0.916953i | \(0.630641\pi\) | |||||||
\(14\) | −2.01081 | − | 1.76035i | −0.537412 | − | 0.470473i | ||||
\(15\) | 0.0996973 | + | 2.89589i | 0.0257417 | + | 0.747716i | ||||
\(16\) | 1.05722 | + | 0.224719i | 0.264305 | + | 0.0561798i | ||||
\(17\) | 0.149036 | − | 0.165521i | 0.0361465 | − | 0.0401448i | −0.724800 | − | 0.688959i | \(-0.758068\pi\) |
0.760947 | + | 0.648814i | \(0.224735\pi\) | |||||||
\(18\) | −2.84654 | − | 1.03924i | −0.670936 | − | 0.244950i | ||||
\(19\) | −8.11522 | + | 0.852944i | −1.86176 | + | 0.195679i | −0.967672 | − | 0.252213i | \(-0.918842\pi\) |
−0.894088 | + | 0.447892i | \(0.852175\pi\) | |||||||
\(20\) | 1.55874 | + | 0.506464i | 0.348544 | + | 0.113249i | ||||
\(21\) | 4.28472 | − | 1.62517i | 0.935002 | − | 0.354642i | ||||
\(22\) | −3.34202 | − | 0.233087i | −0.712522 | − | 0.0496943i | ||||
\(23\) | −0.226106 | − | 0.130542i | −0.0471463 | − | 0.0272199i | 0.476242 | − | 0.879314i | \(-0.341999\pi\) |
−0.523388 | + | 0.852095i | \(0.675332\pi\) | |||||||
\(24\) | −3.35290 | + | 3.99183i | −0.684408 | + | 0.814829i | ||||
\(25\) | 2.01098 | + | 0.895346i | 0.402196 | + | 0.179069i | ||||
\(26\) | 0.284750 | + | 0.639560i | 0.0558441 | + | 0.125428i | ||||
\(27\) | 3.86663 | − | 3.47119i | 0.744134 | − | 0.668031i | ||||
\(28\) | −0.0361778 | − | 2.59176i | −0.00683696 | − | 0.489796i | ||||
\(29\) | −0.136493 | − | 0.0991679i | −0.0253461 | − | 0.0184150i | 0.575040 | − | 0.818125i | \(-0.304986\pi\) |
−0.600386 | + | 0.799710i | \(0.704986\pi\) | |||||||
\(30\) | 2.10643 | − | 2.03215i | 0.384580 | − | 0.371018i | ||||
\(31\) | −5.27302 | + | 1.12081i | −0.947062 | + | 0.201304i | −0.655455 | − | 0.755234i | \(-0.727523\pi\) |
−0.291607 | + | 0.956538i | \(0.594190\pi\) | |||||||
\(32\) | 2.46392 | + | 4.26763i | 0.435563 | + | 0.754418i | ||||
\(33\) | 3.04567 | − | 4.87072i | 0.530183 | − | 0.847883i | ||||
\(34\) | −0.224982 | −0.0385840 | ||||||||
\(35\) | −0.401176 | + | 4.40795i | −0.0678111 | + | 0.745079i | ||||
\(36\) | −1.09830 | − | 2.72613i | −0.183051 | − | 0.454356i | ||||
\(37\) | 5.11969 | − | 2.27943i | 0.841671 | − | 0.374736i | 0.0598262 | − | 0.998209i | \(-0.480945\pi\) |
0.781845 | + | 0.623473i | \(0.214279\pi\) | |||||||
\(38\) | 6.12528 | + | 5.51523i | 0.993652 | + | 0.894688i | ||||
\(39\) | −1.19749 | − | 0.0843297i | −0.191751 | − | 0.0135036i | ||||
\(40\) | −2.04800 | − | 4.59988i | −0.323817 | − | 0.727305i | ||||
\(41\) | −3.49306 | + | 2.53786i | −0.545524 | + | 0.396347i | −0.826133 | − | 0.563476i | \(-0.809464\pi\) |
0.280608 | + | 0.959822i | \(0.409464\pi\) | |||||||
\(42\) | −4.11595 | − | 2.11790i | −0.635105 | − | 0.326799i | ||||
\(43\) | 4.60809i | 0.702727i | 0.936239 | + | 0.351363i | \(0.114282\pi\) | ||||
−0.936239 | + | 0.351363i | \(0.885718\pi\) | |||||||
\(44\) | −2.00091 | − | 2.56008i | −0.301648 | − | 0.385947i | ||||
\(45\) | 1.37861 | + | 4.82574i | 0.205511 | + | 0.719379i | ||||
\(46\) | 0.0548310 | + | 0.257960i | 0.00808439 | + | 0.0380341i | ||||
\(47\) | −7.04899 | + | 0.740878i | −1.02820 | + | 0.108068i | −0.603579 | − | 0.797303i | \(-0.706259\pi\) |
−0.424621 | + | 0.905371i | \(0.639593\pi\) | |||||||
\(48\) | 1.87096 | − | 0.0644118i | 0.270050 | − | 0.00929705i | ||||
\(49\) | 6.80374 | − | 1.64593i | 0.971963 | − | 0.235133i | ||||
\(50\) | −0.687111 | − | 2.11471i | −0.0971721 | − | 0.299065i | ||||
\(51\) | 0.181281 | − | 0.340535i | 0.0253844 | − | 0.0476844i | ||||
\(52\) | −0.276175 | + | 0.620300i | −0.0382986 | + | 0.0860201i | ||||
\(53\) | 2.35481 | + | 11.0785i | 0.323458 | + | 1.52175i | 0.776417 | + | 0.630220i | \(0.217035\pi\) |
−0.452958 | + | 0.891532i | \(0.649631\pi\) | |||||||
\(54\) | −5.21909 | − | 0.556354i | −0.710228 | − | 0.0757102i | ||||
\(55\) | 2.94111 | + | 4.70486i | 0.396579 | + | 0.634403i | ||||
\(56\) | −5.84285 | + | 5.41048i | −0.780783 | + | 0.723006i | ||||
\(57\) | −13.2834 | + | 4.82736i | −1.75943 | + | 0.639399i | ||||
\(58\) | 0.0178137 | + | 0.169486i | 0.00233905 | + | 0.0222546i | ||||
\(59\) | 11.3204 | + | 1.18982i | 1.47379 | + | 0.154901i | 0.807090 | − | 0.590429i | \(-0.201041\pi\) |
0.666696 | + | 0.745330i | \(0.267708\pi\) | |||||||
\(60\) | 2.83174 | + | 0.199417i | 0.365575 | + | 0.0257446i | ||||
\(61\) | −2.46072 | + | 11.5768i | −0.315063 | + | 1.48225i | 0.480829 | + | 0.876814i | \(0.340336\pi\) |
−0.795892 | + | 0.605439i | \(0.792998\pi\) | |||||||
\(62\) | 4.40534 | + | 3.20067i | 0.559479 | + | 0.406485i | ||||
\(63\) | 6.52215 | − | 4.52344i | 0.821714 | − | 0.569900i | ||||
\(64\) | 2.20617 | − | 6.78989i | 0.275771 | − | 0.848736i | ||||
\(65\) | 0.579740 | − | 1.00414i | 0.0719079 | − | 0.124548i | ||||
\(66\) | −5.71477 | + | 1.00583i | −0.703440 | + | 0.123810i | ||||
\(67\) | −1.21210 | − | 2.09942i | −0.148082 | − | 0.256485i | 0.782437 | − | 0.622730i | \(-0.213977\pi\) |
−0.930519 | + | 0.366245i | \(0.880643\pi\) | |||||||
\(68\) | −0.146009 | − | 0.162159i | −0.0177061 | − | 0.0196647i | ||||
\(69\) | −0.434632 | − | 0.124861i | −0.0523235 | − | 0.0150314i | ||||
\(70\) | 3.58000 | − | 2.67816i | 0.427892 | − | 0.320101i | ||||
\(71\) | −9.62898 | + | 3.12864i | −1.14275 | + | 0.371302i | −0.818407 | − | 0.574638i | \(-0.805143\pi\) |
−0.324342 | + | 0.945940i | \(0.605143\pi\) | |||||||
\(72\) | −3.96623 | + | 8.11166i | −0.467424 | + | 0.955968i | ||||
\(73\) | −11.4912 | − | 1.20778i | −1.34494 | − | 0.141359i | −0.595462 | − | 0.803383i | \(-0.703031\pi\) |
−0.749483 | + | 0.662024i | \(0.769698\pi\) | |||||||
\(74\) | −5.17142 | − | 2.30247i | −0.601166 | − | 0.267656i | ||||
\(75\) | 3.75450 | + | 0.663928i | 0.433532 | + | 0.0766638i | ||||
\(76\) | 7.99417i | 0.916994i | ||||||||
\(77\) | 5.54483 | − | 6.80109i | 0.631892 | − | 0.775056i | ||||
\(78\) | 0.746070 | + | 0.955897i | 0.0844757 | + | 0.108234i | ||||
\(79\) | −3.99284 | + | 3.59517i | −0.449229 | + | 0.404488i | −0.862449 | − | 0.506143i | \(-0.831071\pi\) |
0.413220 | + | 0.910631i | \(0.364404\pi\) | |||||||
\(80\) | −0.735450 | + | 1.65185i | −0.0822258 | + | 0.184682i | ||||
\(81\) | 5.04744 | − | 7.45140i | 0.560827 | − | 0.827933i | ||||
\(82\) | 4.26599 | + | 0.906763i | 0.471099 | + | 0.100135i | ||||
\(83\) | −1.31998 | − | 4.06249i | −0.144887 | − | 0.445917i | 0.852109 | − | 0.523364i | \(-0.175323\pi\) |
−0.996996 | + | 0.0774472i | \(0.975323\pi\) | |||||||
\(84\) | −1.14466 | − | 4.34111i | −0.124893 | − | 0.473654i | ||||
\(85\) | 0.219017 | + | 0.301451i | 0.0237557 | + | 0.0326969i | ||||
\(86\) | 3.45908 | − | 3.11457i | 0.373002 | − | 0.335853i | ||||
\(87\) | −0.270890 | − | 0.109602i | −0.0290424 | − | 0.0117506i | ||||
\(88\) | −1.73163 | + | 9.83103i | −0.184593 | + | 1.04799i | ||||
\(89\) | 0.945459 | + | 0.545861i | 0.100218 | + | 0.0578611i | 0.549272 | − | 0.835644i | \(-0.314905\pi\) |
−0.449053 | + | 0.893505i | \(0.648239\pi\) | |||||||
\(90\) | 2.69067 | − | 4.29655i | 0.283622 | − | 0.452896i | ||||
\(91\) | −1.79880 | − | 0.356180i | −0.188565 | − | 0.0373378i | ||||
\(92\) | −0.150344 | + | 0.206931i | −0.0156745 | + | 0.0215741i | ||||
\(93\) | −8.39422 | + | 4.08901i | −0.870440 | + | 0.424011i | ||||
\(94\) | 5.32050 | + | 4.79060i | 0.548768 | + | 0.494113i | ||||
\(95\) | 1.42692 | − | 13.5762i | 0.146399 | − | 1.39289i | ||||
\(96\) | 5.92606 | + | 6.14267i | 0.604826 | + | 0.626934i | ||||
\(97\) | 1.06820 | − | 3.28757i | 0.108459 | − | 0.333802i | −0.882068 | − | 0.471123i | \(-0.843849\pi\) |
0.990527 | + | 0.137320i | \(0.0438489\pi\) | |||||||
\(98\) | −5.83412 | − | 3.99479i | −0.589335 | − | 0.403535i | ||||
\(99\) | 3.08229 | − | 9.46042i | 0.309782 | − | 0.950808i | ||||
\(100\) | 1.07829 | − | 1.86765i | 0.107829 | − | 0.186765i | ||||
\(101\) | 3.78962 | − | 0.805509i | 0.377082 | − | 0.0801512i | −0.0154720 | − | 0.999880i | \(-0.504925\pi\) |
0.392554 | + | 0.919729i | \(0.371592\pi\) | |||||||
\(102\) | −0.378151 | + | 0.0940856i | −0.0374425 | + | 0.00931586i | ||||
\(103\) | 5.64692 | − | 2.51417i | 0.556407 | − | 0.247728i | −0.109214 | − | 0.994018i | \(-0.534833\pi\) |
0.665621 | + | 0.746290i | \(0.268167\pi\) | |||||||
\(104\) | 1.98394 | − | 0.644620i | 0.194541 | − | 0.0632102i | ||||
\(105\) | 1.16907 | + | 7.57668i | 0.114090 | + | 0.739409i | ||||
\(106\) | 6.72454 | − | 9.25554i | 0.653145 | − | 0.898977i | ||||
\(107\) | −1.94023 | − | 18.4600i | −0.187569 | − | 1.78460i | −0.532961 | − | 0.846140i | \(-0.678921\pi\) |
0.345393 | − | 0.938458i | \(-0.387746\pi\) | |||||||
\(108\) | −2.98609 | − | 4.12281i | −0.287336 | − | 0.396717i | ||||
\(109\) | 6.28539 | − | 3.62887i | 0.602032 | − | 0.347583i | −0.167809 | − | 0.985820i | \(-0.553669\pi\) |
0.769840 | + | 0.638236i | \(0.220336\pi\) | |||||||
\(110\) | 1.54385 | − | 5.38773i | 0.147200 | − | 0.513700i | ||||
\(111\) | 7.65197 | − | 5.97230i | 0.726293 | − | 0.566866i | ||||
\(112\) | 2.84786 | + | 0.259189i | 0.269098 | + | 0.0244911i | ||||
\(113\) | −2.65450 | − | 3.65360i | −0.249714 | − | 0.343702i | 0.665697 | − | 0.746222i | \(-0.268134\pi\) |
−0.915411 | + | 0.402520i | \(0.868134\pi\) | |||||||
\(114\) | 12.6019 | + | 6.70849i | 1.18027 | + | 0.628308i | ||||
\(115\) | 0.292261 | − | 0.324588i | 0.0272535 | − | 0.0302680i | ||||
\(116\) | −0.110599 | + | 0.122832i | −0.0102688 | + | 0.0114047i | ||||
\(117\) | −2.04801 | + | 0.359038i | −0.189339 | + | 0.0331931i | ||||
\(118\) | −6.75821 | − | 9.30187i | −0.622143 | − | 0.856307i | ||||
\(119\) | 0.339688 | − | 0.481534i | 0.0311392 | − | 0.0441421i | ||||
\(120\) | −5.36593 | − | 6.87505i | −0.489840 | − | 0.627604i | ||||
\(121\) | 0.379900 | − | 10.9934i | 0.0345364 | − | 0.999403i | ||||
\(122\) | 10.3533 | − | 5.97750i | 0.937347 | − | 0.541177i | ||||
\(123\) | −4.80985 | + | 5.72642i | −0.433690 | + | 0.516334i | ||||
\(124\) | 0.552048 | + | 5.25239i | 0.0495754 | + | 0.471678i | ||||
\(125\) | −7.08122 | + | 9.74646i | −0.633363 | + | 0.871750i | ||||
\(126\) | −7.80381 | − | 1.83853i | −0.695219 | − | 0.163789i | ||||
\(127\) | 9.87874 | − | 3.20980i | 0.876596 | − | 0.284823i | 0.164053 | − | 0.986452i | \(-0.447543\pi\) |
0.712543 | + | 0.701628i | \(0.247543\pi\) | |||||||
\(128\) | 2.41561 | − | 1.07550i | 0.213512 | − | 0.0950616i | ||||
\(129\) | 1.92707 | + | 7.74531i | 0.169669 | + | 0.681936i | ||||
\(130\) | −1.14560 | + | 0.243505i | −0.100476 | + | 0.0213568i | ||||
\(131\) | −4.05987 | + | 7.03190i | −0.354712 | + | 0.614380i | −0.987069 | − | 0.160298i | \(-0.948755\pi\) |
0.632356 | + | 0.774678i | \(0.282088\pi\) | |||||||
\(132\) | −4.43375 | − | 3.46625i | −0.385908 | − | 0.301698i | ||||
\(133\) | −21.0526 | + | 4.78294i | −1.82550 | + | 0.414733i | ||||
\(134\) | −0.756691 | + | 2.32885i | −0.0653681 | + | 0.201182i | ||||
\(135\) | 4.33527 | + | 7.53462i | 0.373121 | + | 0.648477i | ||||
\(136\) | −0.0700732 | + | 0.666702i | −0.00600873 | + | 0.0571692i | ||||
\(137\) | −16.6936 | − | 15.0310i | −1.42623 | − | 1.28419i | −0.901405 | − | 0.432976i | \(-0.857463\pi\) |
−0.524827 | − | 0.851209i | \(-0.675870\pi\) | |||||||
\(138\) | 0.200037 | + | 0.410651i | 0.0170283 | + | 0.0349569i | ||||
\(139\) | 6.80052 | − | 9.36011i | 0.576812 | − | 0.793914i | −0.416529 | − | 0.909122i | \(-0.636754\pi\) |
0.993341 | + | 0.115208i | \(0.0367536\pi\) | |||||||
\(140\) | 4.25367 | + | 0.842271i | 0.359501 | + | 0.0711849i | ||||
\(141\) | −11.5382 | + | 4.19311i | −0.971688 | + | 0.353123i | ||||
\(142\) | 8.85668 | + | 5.11341i | 0.743236 | + | 0.429108i | ||||
\(143\) | −2.06587 | + | 1.00806i | −0.172756 | + | 0.0842978i | ||||
\(144\) | 3.11779 | − | 0.890685i | 0.259816 | − | 0.0742237i | ||||
\(145\) | 0.209751 | − | 0.188861i | 0.0174189 | − | 0.0156840i | ||||
\(146\) | 6.86020 | + | 9.44226i | 0.567754 | + | 0.781447i | ||||
\(147\) | 10.7475 | − | 5.61177i | 0.886436 | − | 0.462851i | ||||
\(148\) | −1.69661 | − | 5.22164i | −0.139461 | − | 0.429216i | ||||
\(149\) | −11.4328 | − | 2.43012i | −0.936614 | − | 0.199083i | −0.285773 | − | 0.958297i | \(-0.592250\pi\) |
−0.650841 | + | 0.759214i | \(0.725584\pi\) | |||||||
\(150\) | −2.03926 | − | 3.26707i | −0.166505 | − | 0.266756i | ||||
\(151\) | −2.71881 | + | 6.10655i | −0.221254 | + | 0.496944i | −0.989733 | − | 0.142931i | \(-0.954347\pi\) |
0.768479 | + | 0.639875i | \(0.221014\pi\) | |||||||
\(152\) | 18.2514 | − | 16.4337i | 1.48039 | − | 1.33295i | ||||
\(153\) | 0.162290 | − | 0.648184i | 0.0131203 | − | 0.0524026i | ||||
\(154\) | −8.85298 | + | 0.434553i | −0.713393 | + | 0.0350173i | ||||
\(155\) | − | 9.01849i | − | 0.724383i | ||||||
\(156\) | −0.204793 | + | 1.15810i | −0.0163966 | + | 0.0927222i | ||||
\(157\) | 8.73022 | + | 3.88694i | 0.696747 | + | 0.310212i | 0.724375 | − | 0.689406i | \(-0.242129\pi\) |
−0.0276276 | + | 0.999618i | \(0.508795\pi\) | |||||||
\(158\) | 5.39746 | + | 0.567296i | 0.429399 | + | 0.0451316i | ||||
\(159\) | 8.59094 | + | 17.6361i | 0.681306 | + | 1.39863i | ||||
\(160\) | −7.84046 | + | 2.54752i | −0.619842 | + | 0.201399i | ||||
\(161\) | −0.634904 | − | 0.272124i | −0.0500375 | − | 0.0214464i | ||||
\(162\) | −9.00495 | + | 1.24746i | −0.707496 | + | 0.0980097i | ||||
\(163\) | −0.800926 | − | 0.889518i | −0.0627333 | − | 0.0696724i | 0.710961 | − | 0.703231i | \(-0.248260\pi\) |
−0.773695 | + | 0.633559i | \(0.781593\pi\) | |||||||
\(164\) | 2.11498 | + | 3.66325i | 0.165152 | + | 0.286052i | ||||
\(165\) | 6.91097 | + | 6.67801i | 0.538019 | + | 0.519882i | ||||
\(166\) | −2.15736 | + | 3.73666i | −0.167444 | + | 0.290021i | ||||
\(167\) | 6.31398 | − | 19.4324i | 0.488590 | − | 1.50373i | −0.338122 | − | 0.941102i | \(-0.609792\pi\) |
0.826713 | − | 0.562624i | \(-0.190208\pi\) | |||||||
\(168\) | −7.55808 | + | 11.5374i | −0.583118 | + | 0.890131i | ||||
\(169\) | −10.1286 | − | 7.35886i | −0.779123 | − | 0.566066i | ||||
\(170\) | 0.0782536 | − | 0.368154i | 0.00600178 | − | 0.0282362i | ||||
\(171\) | −20.3081 | + | 13.6689i | −1.55300 | + | 1.04529i | ||||
\(172\) | 4.48975 | + | 0.471892i | 0.342340 | + | 0.0359814i | ||||
\(173\) | 1.46536 | + | 13.9420i | 0.111409 | + | 1.05999i | 0.897239 | + | 0.441545i | \(0.145569\pi\) |
−0.785830 | + | 0.618442i | \(0.787764\pi\) | |||||||
\(174\) | 0.100819 | + | 0.277424i | 0.00764307 | + | 0.0210314i | ||||
\(175\) | 5.56360 | + | 1.72225i | 0.420569 | + | 0.130190i | ||||
\(176\) | 3.03968 | − | 1.90017i | 0.229125 | − | 0.143231i | ||||
\(177\) | 19.5249 | − | 2.73423i | 1.46758 | − | 0.205518i | ||||
\(178\) | −0.229275 | − | 1.07866i | −0.0171849 | − | 0.0808487i | ||||
\(179\) | −5.14216 | + | 11.5495i | −0.384343 | + | 0.863249i | 0.612978 | + | 0.790100i | \(0.289971\pi\) |
−0.997321 | + | 0.0731487i | \(0.976695\pi\) | |||||||
\(180\) | 4.84300 | − | 0.849028i | 0.360976 | − | 0.0632828i | ||||
\(181\) | 6.46032 | + | 19.8828i | 0.480192 | + | 1.47788i | 0.838825 | + | 0.544401i | \(0.183243\pi\) |
−0.358633 | + | 0.933479i | \(0.616757\pi\) | |||||||
\(182\) | 0.948425 | + | 1.59101i | 0.0703019 | + | 0.117934i | ||||
\(183\) | 0.705322 | + | 20.4874i | 0.0521389 | + | 1.51447i | ||||
\(184\) | 0.781506 | − | 0.0821396i | 0.0576134 | − | 0.00605541i | ||||
\(185\) | 1.94927 | + | 9.17057i | 0.143313 | + | 0.674234i | ||||
\(186\) | 8.74302 | + | 3.53743i | 0.641070 | + | 0.259377i | ||||
\(187\) | −0.0259149 | − | 0.738260i | −0.00189508 | − | 0.0539869i | ||||
\(188\) | 6.94384i | 0.506432i | ||||||||
\(189\) | 9.07082 | − | 10.3305i | 0.659805 | − | 0.751437i | ||||
\(190\) | −11.1555 | + | 8.10495i | −0.809305 | + | 0.587995i | ||||
\(191\) | −0.618358 | − | 1.38885i | −0.0447428 | − | 0.100494i | 0.889791 | − | 0.456368i | \(-0.150850\pi\) |
−0.934534 | + | 0.355874i | \(0.884183\pi\) | |||||||
\(192\) | 0.868665 | − | 12.3351i | 0.0626905 | − | 0.890209i | ||||
\(193\) | −1.72759 | − | 1.55553i | −0.124355 | − | 0.111970i | 0.604607 | − | 0.796524i | \(-0.293330\pi\) |
−0.728962 | + | 0.684554i | \(0.759997\pi\) | |||||||
\(194\) | −3.18982 | + | 1.42020i | −0.229016 | + | 0.101964i | ||||
\(195\) | 0.554508 | − | 1.93021i | 0.0397091 | − | 0.138225i | ||||
\(196\) | −0.906925 | − | 6.79758i | −0.0647803 | − | 0.485541i | ||||
\(197\) | 22.1508 | 1.57818 | 0.789090 | − | 0.614278i | \(-0.210553\pi\) | ||||
0.789090 | + | 0.614278i | \(0.210553\pi\) | |||||||
\(198\) | −9.18480 | + | 4.08049i | −0.652735 | + | 0.289988i | ||||
\(199\) | −4.92178 | − | 8.52477i | −0.348896 | − | 0.604305i | 0.637158 | − | 0.770733i | \(-0.280110\pi\) |
−0.986054 | + | 0.166428i | \(0.946777\pi\) | |||||||
\(200\) | −6.48066 | + | 1.37751i | −0.458252 | + | 0.0974045i | ||||
\(201\) | −2.91527 | − | 3.02183i | −0.205628 | − | 0.213144i | ||||
\(202\) | −3.16604 | − | 2.30026i | −0.222762 | − | 0.161846i | ||||
\(203\) | −0.389651 | − | 0.217771i | −0.0273481 | − | 0.0152845i | ||||
\(204\) | −0.313226 | − | 0.211498i | −0.0219302 | − | 0.0148079i | ||||
\(205\) | −2.93792 | − | 6.59868i | −0.205193 | − | 0.460872i | ||||
\(206\) | −5.70398 | − | 2.53958i | −0.397415 | − | 0.176941i | ||||
\(207\) | −0.782748 | − | 0.0281069i | −0.0544048 | − | 0.00195357i | ||||
\(208\) | −0.648748 | − | 0.374555i | −0.0449826 | − | 0.0259707i | ||||
\(209\) | −17.3923 | + | 20.7349i | −1.20305 | + | 1.43426i | ||||
\(210\) | 4.89731 | − | 5.99859i | 0.337946 | − | 0.413942i | ||||
\(211\) | 11.0997 | + | 3.60651i | 0.764134 | + | 0.248282i | 0.665052 | − | 0.746797i | \(-0.268409\pi\) |
0.0990822 | + | 0.995079i | \(0.468409\pi\) | |||||||
\(212\) | 11.0352 | − | 1.15984i | 0.757899 | − | 0.0796584i | ||||
\(213\) | −14.8761 | + | 9.28541i | −1.01929 | + | 0.636226i | ||||
\(214\) | −12.5457 | + | 13.9334i | −0.857608 | + | 0.952470i | ||||
\(215\) | −7.54057 | − | 1.60280i | −0.514262 | − | 0.109310i | ||||
\(216\) | −3.27423 | + | 15.2928i | −0.222783 | + | 1.04054i | ||||
\(217\) | −13.5019 | + | 4.59634i | −0.916566 | + | 0.312020i | ||||
\(218\) | −6.97228 | − | 2.26543i | −0.472222 | − | 0.153434i | ||||
\(219\) | −19.8196 | + | 2.77550i | −1.33928 | + | 0.187551i | ||||
\(220\) | 4.88522 | − | 2.38378i | 0.329362 | − | 0.160714i | ||||
\(221\) | −0.133689 | + | 0.0771853i | −0.00899288 | + | 0.00519204i | ||||
\(222\) | −9.65504 | − | 1.70735i | −0.648004 | − | 0.114590i | ||||
\(223\) | 13.6979 | − | 9.95211i | 0.917280 | − | 0.666443i | −0.0255656 | − | 0.999673i | \(-0.508139\pi\) |
0.942845 | + | 0.333230i | \(0.108139\pi\) | |||||||
\(224\) | 7.80992 | + | 10.4398i | 0.521822 | + | 0.697541i | ||||
\(225\) | 6.58824 | − | 0.454167i | 0.439216 | − | 0.0302778i | ||||
\(226\) | −0.948438 | + | 4.46205i | −0.0630891 | + | 0.296811i | ||||
\(227\) | 0.825122 | − | 7.85051i | 0.0547653 | − | 0.521057i | −0.932408 | − | 0.361406i | \(-0.882297\pi\) |
0.987174 | − | 0.159650i | \(-0.0510367\pi\) | |||||||
\(228\) | 3.34310 | + | 13.4367i | 0.221402 | + | 0.889865i | ||||
\(229\) | −16.6350 | − | 18.4750i | −1.09927 | − | 1.22087i | −0.973471 | − | 0.228810i | \(-0.926517\pi\) |
−0.125801 | − | 0.992056i | \(-0.540150\pi\) | |||||||
\(230\) | −0.441191 | −0.0290912 | ||||||||
\(231\) | 6.47563 | − | 13.7501i | 0.426065 | − | 0.904692i | ||||
\(232\) | 0.507796 | 0.0333385 | ||||||||
\(233\) | −6.64246 | − | 7.37720i | −0.435162 | − | 0.483296i | 0.485178 | − | 0.874415i | \(-0.338755\pi\) |
−0.920340 | + | 0.391119i | \(0.872088\pi\) | |||||||
\(234\) | 1.65375 | + | 1.29468i | 0.108109 | + | 0.0846357i | ||||
\(235\) | 1.23944 | − | 11.7925i | 0.0808522 | − | 0.769257i | ||||
\(236\) | 2.31853 | − | 10.9078i | 0.150923 | − | 0.710038i | ||||
\(237\) | −5.20772 | + | 7.71256i | −0.338278 | + | 0.500985i | ||||
\(238\) | −0.591058 | + | 0.0704766i | −0.0383126 | + | 0.00456832i | ||||
\(239\) | 21.2204 | − | 15.4175i | 1.37263 | − | 0.997275i | 0.375104 | − | 0.926983i | \(-0.377607\pi\) |
0.997526 | − | 0.0702919i | \(-0.0223931\pi\) | |||||||
\(240\) | −0.545360 | + | 3.08400i | −0.0352028 | + | 0.199071i | ||||
\(241\) | 0.0765792 | − | 0.0442130i | 0.00493290 | − | 0.00284801i | −0.497532 | − | 0.867446i | \(-0.665760\pi\) |
0.502464 | + | 0.864598i | \(0.332427\pi\) | |||||||
\(242\) | −8.50905 | + | 7.14521i | −0.546982 | + | 0.459311i | ||||
\(243\) | 5.36766 | − | 14.6352i | 0.344335 | − | 0.938847i | ||||
\(244\) | 11.0275 | + | 3.58305i | 0.705963 | + | 0.229381i | ||||
\(245\) | 0.326866 | + | 11.7060i | 0.0208827 | + | 0.747867i | ||||
\(246\) | 7.54951 | − | 0.259908i | 0.481339 | − | 0.0165711i | ||||
\(247\) | 5.53190 | + | 1.17584i | 0.351987 | + | 0.0748171i | ||||
\(248\) | 10.8568 | − | 12.0577i | 0.689410 | − | 0.765667i | ||||
\(249\) | −3.91754 | − | 6.27626i | −0.248264 | − | 0.397742i | ||||
\(250\) | 12.1024 | − | 1.27201i | 0.765421 | − | 0.0804490i | ||||
\(251\) | −26.3571 | − | 8.56394i | −1.66365 | − | 0.540551i | −0.682015 | − | 0.731338i | \(-0.738896\pi\) |
−0.981631 | + | 0.190787i | \(0.938896\pi\) | |||||||
\(252\) | −3.73938 | − | 6.81789i | −0.235559 | − | 0.429487i | ||||
\(253\) | −0.840159 | + | 0.209637i | −0.0528203 | + | 0.0131798i | ||||
\(254\) | −9.08642 | − | 5.24604i | −0.570132 | − | 0.329166i | ||||
\(255\) | 0.494190 | + | 0.415090i | 0.0309474 | + | 0.0259939i | ||||
\(256\) | −15.4842 | − | 6.89401i | −0.967762 | − | 0.430875i | ||||
\(257\) | −1.35993 | − | 3.05444i | −0.0848298 | − | 0.190531i | 0.866150 | − | 0.499785i | \(-0.166587\pi\) |
−0.950980 | + | 0.309254i | \(0.899921\pi\) | |||||||
\(258\) | 4.51156 | − | 6.68156i | 0.280878 | − | 0.415976i | ||||
\(259\) | 12.7361 | − | 7.59216i | 0.791383 | − | 0.471754i | ||||
\(260\) | −0.918984 | − | 0.667681i | −0.0569930 | − | 0.0414078i | ||||
\(261\) | −0.501148 | − | 0.0709357i | −0.0310203 | − | 0.00439081i | ||||
\(262\) | 8.02256 | − | 1.70525i | 0.495636 | − | 0.105351i | ||||
\(263\) | 3.99556 | + | 6.92052i | 0.246377 | + | 0.426738i | 0.962518 | − | 0.271218i | \(-0.0874265\pi\) |
−0.716141 | + | 0.697956i | \(0.754093\pi\) | |||||||
\(264\) | 1.20072 | + | 17.2482i | 0.0738991 | + | 1.06156i | ||||
\(265\) | −18.9477 | −1.16395 | ||||||||
\(266\) | 17.8197 | + | 12.5705i | 1.09259 | + | 0.770748i | ||||
\(267\) | 1.81741 | + | 0.522103i | 0.111224 | + | 0.0319522i | ||||
\(268\) | −2.16964 | + | 0.965984i | −0.132532 | + | 0.0590069i | ||||
\(269\) | 6.90956 | + | 6.22139i | 0.421283 | + | 0.379325i | 0.852330 | − | 0.523005i | \(-0.175189\pi\) |
−0.431047 | + | 0.902330i | \(0.641856\pi\) | |||||||
\(270\) | 2.72572 | − | 8.34689i | 0.165882 | − | 0.507975i | ||||
\(271\) | −0.645282 | − | 1.44933i | −0.0391981 | − | 0.0880403i | 0.892885 | − | 0.450284i | \(-0.148677\pi\) |
−0.932083 | + | 0.362244i | \(0.882011\pi\) | |||||||
\(272\) | 0.194760 | − | 0.141501i | 0.0118090 | − | 0.00857976i | ||||
\(273\) | −3.17238 | + | 0.153573i | −0.192001 | + | 0.00929464i | ||||
\(274\) | 22.6905i | 1.37078i | ||||||||
\(275\) | 6.86011 | − | 2.49829i | 0.413680 | − | 0.150652i | ||||
\(276\) | −0.166163 | + | 0.410684i | −0.0100018 | + | 0.0247203i | ||||
\(277\) | −1.16447 | − | 5.47839i | −0.0699661 | − | 0.329165i | 0.929219 | − | 0.369530i | \(-0.120481\pi\) |
−0.999185 | + | 0.0403652i | \(0.987148\pi\) | |||||||
\(278\) | −11.6226 | + | 1.22159i | −0.697079 | + | 0.0732659i | ||||
\(279\) | −12.3991 | + | 10.3832i | −0.742313 | + | 0.621628i | ||||
\(280\) | −6.82131 | − | 11.4430i | −0.407652 | − | 0.683849i | ||||
\(281\) | 7.82986 | + | 24.0978i | 0.467090 | + | 1.43756i | 0.856334 | + | 0.516422i | \(0.172736\pi\) |
−0.389244 | + | 0.921135i | \(0.627264\pi\) | |||||||
\(282\) | 10.9461 | + | 5.82708i | 0.651833 | + | 0.346998i | ||||
\(283\) | 8.46490 | − | 19.0125i | 0.503186 | − | 1.13017i | −0.466210 | − | 0.884674i | \(-0.654381\pi\) |
0.969396 | − | 0.245501i | \(-0.0789523\pi\) | |||||||
\(284\) | 2.06224 | + | 9.70210i | 0.122372 | + | 0.575713i | ||||
\(285\) | −3.27910 | − | 23.4158i | −0.194237 | − | 1.38703i | ||||
\(286\) | 2.15300 | + | 0.869415i | 0.127310 | + | 0.0514096i | ||||
\(287\) | −8.38177 | + | 7.76153i | −0.494760 | + | 0.458148i | ||||
\(288\) | 12.5294 | + | 7.84642i | 0.738302 | + | 0.462355i | ||||
\(289\) | 1.77180 | + | 16.8575i | 0.104223 | + | 0.991620i | ||||
\(290\) | −0.283539 | − | 0.0298011i | −0.0166500 | − | 0.00174998i | ||||
\(291\) | 0.420596 | − | 5.97249i | 0.0246558 | − | 0.350113i | ||||
\(292\) | −2.35352 | + | 11.0724i | −0.137729 | + | 0.647965i | ||||
\(293\) | 9.97394 | + | 7.24649i | 0.582684 | + | 0.423345i | 0.839691 | − | 0.543065i | \(-0.182736\pi\) |
−0.257007 | + | 0.966410i | \(0.582736\pi\) | |||||||
\(294\) | −11.4766 | − | 4.27469i | −0.669331 | − | 0.249305i | ||||
\(295\) | −5.88447 | + | 18.1105i | −0.342607 | + | 1.05444i | ||||
\(296\) | −8.43375 | + | 14.6077i | −0.490202 | + | 0.849054i | ||||
\(297\) | 1.22446 | − | 17.1901i | 0.0710506 | − | 0.997473i | ||||
\(298\) | 5.90318 | + | 10.2246i | 0.341962 | + | 0.592295i | ||||
\(299\) | 0.121081 | + | 0.134474i | 0.00700229 | + | 0.00777683i | ||||
\(300\) | 1.03136 | − | 3.59009i | 0.0595455 | − | 0.207274i | ||||
\(301\) | 1.44351 | + | 12.1061i | 0.0832023 | + | 0.697784i | ||||
\(302\) | 6.42154 | − | 2.08648i | 0.369518 | − | 0.120064i | ||||
\(303\) | 6.03277 | − | 2.93870i | 0.346574 | − | 0.168824i | ||||
\(304\) | −8.77125 | − | 0.921895i | −0.503065 | − | 0.0528743i | ||||
\(305\) | −18.0881 | − | 8.05332i | −1.03572 | − | 0.461132i | ||||
\(306\) | −0.596253 | + | 0.316280i | −0.0340855 | + | 0.0180805i | ||||
\(307\) | 0.617255i | 0.0352286i | 0.999845 | + | 0.0176143i | \(0.00560710\pi\) | ||||
−0.999845 | + | 0.0176143i | \(0.994393\pi\) | |||||||
\(308\) | −6.05862 | − | 6.09891i | −0.345222 | − | 0.347518i | ||||
\(309\) | 8.43997 | − | 6.58733i | 0.480133 | − | 0.374740i | ||||
\(310\) | −6.76977 | + | 6.09553i | −0.384497 | + | 0.346203i | ||||
\(311\) | 9.11505 | − | 20.4727i | 0.516867 | − | 1.16090i | −0.447003 | − | 0.894532i | \(-0.647509\pi\) |
0.963871 | − | 0.266371i | \(-0.0858245\pi\) | |||||||
\(312\) | 3.06504 | − | 1.91315i | 0.173524 | − | 0.108311i | ||||
\(313\) | 14.7469 | + | 3.13456i | 0.833547 | + | 0.177176i | 0.604868 | − | 0.796326i | \(-0.293226\pi\) |
0.228679 | + | 0.973502i | \(0.426559\pi\) | |||||||
\(314\) | −2.98294 | − | 9.18053i | −0.168337 | − | 0.518087i | ||||
\(315\) | 5.13350 | + | 12.2461i | 0.289240 | + | 0.689987i | ||||
\(316\) | 3.09396 | + | 4.25847i | 0.174049 | + | 0.239558i | ||||
\(317\) | −15.8791 | + | 14.2976i | −0.891859 | + | 0.803033i | −0.981205 | − | 0.192967i | \(-0.938189\pi\) |
0.0893464 | + | 0.996001i | \(0.471522\pi\) | |||||||
\(318\) | 7.43207 | − | 18.3689i | 0.416770 | − | 1.03008i | ||||
\(319\) | −0.554103 | + | 0.0779767i | −0.0310238 | + | 0.00436586i | ||||
\(320\) | 10.3435 | + | 5.97180i | 0.578217 | + | 0.333834i | ||||
\(321\) | −10.9810 | − | 30.2164i | −0.612899 | − | 1.68651i | ||||
\(322\) | 0.224856 | + | 0.660520i | 0.0125307 | + | 0.0368094i | ||||
\(323\) | −1.06828 | + | 1.47036i | −0.0594407 | + | 0.0818130i | ||||
\(324\) | −6.74317 | − | 5.68089i | −0.374620 | − | 0.315605i | ||||
\(325\) | −1.13380 | − | 1.02088i | −0.0628917 | − | 0.0566280i | ||||
\(326\) | −0.126381 | + | 1.20244i | −0.00699961 | + | 0.0665968i | ||||
\(327\) | 9.04697 | − | 8.72794i | 0.500299 | − | 0.482656i | ||||
\(328\) | 4.01576 | − | 12.3592i | 0.221733 | − | 0.682425i | ||||
\(329\) | −18.2866 | + | 4.15452i | −1.00817 | + | 0.229046i | ||||
\(330\) | 0.341803 | − | 9.70137i | 0.0188157 | − | 0.534043i | ||||
\(331\) | −14.2285 | + | 24.6444i | −0.782066 | + | 1.35458i | 0.148670 | + | 0.988887i | \(0.452501\pi\) |
−0.930736 | + | 0.365692i | \(0.880832\pi\) | |||||||
\(332\) | −4.09334 | + | 0.870067i | −0.224651 | + | 0.0477511i | ||||
\(333\) | 10.3639 | − | 13.2383i | 0.567939 | − | 0.725454i | ||||
\(334\) | −18.8546 | + | 8.39462i | −1.03168 | + | 0.459333i | ||||
\(335\) | 3.85704 | − | 1.25323i | 0.210733 | − | 0.0684712i | ||||
\(336\) | 4.89510 | − | 0.755306i | 0.267049 | − | 0.0412053i | ||||
\(337\) | 0.0525208 | − | 0.0722887i | 0.00286099 | − | 0.00393781i | −0.807584 | − | 0.589752i | \(-0.799225\pi\) |
0.810445 | + | 0.585815i | \(0.199225\pi\) | |||||||
\(338\) | 1.32188 | + | 12.5769i | 0.0719010 | + | 0.684092i | ||||
\(339\) | −5.98960 | − | 5.03091i | −0.325311 | − | 0.273241i | ||||
\(340\) | 0.316138 | − | 0.182523i | 0.0171450 | − | 0.00989867i | ||||
\(341\) | −9.99530 | + | 14.8245i | −0.541276 | + | 0.802789i | ||||
\(342\) | 23.9867 | + | 6.00569i | 1.29705 | + | 0.324751i | ||||
\(343\) | 17.3588 | − | 6.45540i | 0.937287 | − | 0.348559i | ||||
\(344\) | −8.15224 | − | 11.2206i | −0.439539 | − | 0.604974i | ||||
\(345\) | 0.355494 | − | 0.667792i | 0.0191391 | − | 0.0359527i | ||||
\(346\) | 9.47517 | − | 10.5232i | 0.509388 | − | 0.565733i | ||||
\(347\) | 21.4467 | − | 23.8189i | 1.15132 | − | 1.27867i | 0.196824 | − | 0.980439i | \(-0.436937\pi\) |
0.954494 | − | 0.298229i | \(-0.0963960\pi\) | |||||||
\(348\) | −0.134528 | + | 0.252709i | −0.00721145 | + | 0.0135466i | ||||
\(349\) | 2.90060 | + | 3.99234i | 0.155266 | + | 0.213705i | 0.879562 | − | 0.475783i | \(-0.157835\pi\) |
−0.724297 | + | 0.689488i | \(0.757835\pi\) | |||||||
\(350\) | −2.46758 | − | 5.34040i | −0.131898 | − | 0.285456i | ||||
\(351\) | −3.29217 | + | 1.45994i | −0.175723 | + | 0.0779256i | ||||
\(352\) | 15.7115 | + | 4.50210i | 0.837424 | + | 0.239963i | ||||
\(353\) | −12.1762 | + | 7.02991i | −0.648071 | + | 0.374164i | −0.787717 | − | 0.616037i | \(-0.788737\pi\) |
0.139646 | + | 0.990202i | \(0.455404\pi\) | |||||||
\(354\) | −15.2492 | − | 12.8084i | −0.810487 | − | 0.680760i | ||||
\(355\) | −1.77046 | − | 16.8448i | −0.0939665 | − | 0.894031i | ||||
\(356\) | 0.628663 | − | 0.865280i | 0.0333191 | − | 0.0458598i | ||||
\(357\) | 0.369577 | − | 0.951421i | 0.0195601 | − | 0.0503545i | ||||
\(358\) | 12.1452 | − | 3.94622i | 0.641895 | − | 0.208564i | ||||
\(359\) | −6.21656 | + | 2.76779i | −0.328098 | + | 0.146078i | −0.564174 | − | 0.825656i | \(-0.690805\pi\) |
0.236076 | + | 0.971735i | \(0.424139\pi\) | |||||||
\(360\) | −11.8942 | − | 9.31166i | −0.626879 | − | 0.490767i | ||||
\(361\) | 46.5445 | − | 9.89334i | 2.44971 | − | 0.520702i | ||||
\(362\) | 10.5587 | − | 18.2881i | 0.554951 | − | 0.961203i | ||||
\(363\) | −3.95883 | − | 18.6367i | −0.207785 | − | 0.978175i | ||||
\(364\) | −0.531240 | + | 1.71613i | −0.0278445 | + | 0.0899496i | ||||
\(365\) | 5.97328 | − | 18.3839i | 0.312656 | − | 0.962255i | ||||
\(366\) | 14.9022 | − | 14.3767i | 0.778951 | − | 0.751483i | ||||
\(367\) | 0.381674 | − | 3.63138i | 0.0199232 | − | 0.189557i | −0.980034 | − | 0.198831i | \(-0.936286\pi\) |
0.999957 | + | 0.00927443i | \(0.00295219\pi\) | |||||||
\(368\) | −0.209708 | − | 0.188822i | −0.0109318 | − | 0.00984303i | ||||
\(369\) | −5.68969 | + | 11.6365i | −0.296193 | + | 0.605770i | ||||
\(370\) | 5.56644 | − | 7.66155i | 0.289385 | − | 0.398305i | ||||
\(371\) | 9.65682 | + | 28.3672i | 0.501357 | + | 1.47275i | ||||
\(372\) | 3.12440 | + | 8.59739i | 0.161992 | + | 0.445754i | ||||
\(373\) | −19.7737 | − | 11.4164i | −1.02384 | − | 0.591117i | −0.108629 | − | 0.994082i | \(-0.534646\pi\) |
−0.915215 | + | 0.402965i | \(0.867980\pi\) | |||||||
\(374\) | −0.536662 | + | 0.518437i | −0.0277501 | + | 0.0268077i | ||||
\(375\) | −7.82627 | + | 19.3432i | −0.404147 | + | 0.998880i | ||||
\(376\) | 15.8534 | − | 14.2745i | 0.817578 | − | 0.736150i | ||||
\(377\) | 0.0687314 | + | 0.0946007i | 0.00353985 | + | 0.00487218i | ||||
\(378\) | −13.8856 | + | 0.173285i | −0.714197 | + | 0.00891282i | ||||
\(379\) | 5.13507 | + | 15.8041i | 0.263771 | + | 0.811803i | 0.991974 | + | 0.126442i | \(0.0403556\pi\) |
−0.728203 | + | 0.685361i | \(0.759644\pi\) | |||||||
\(380\) | −13.0815 | − | 2.78055i | −0.671065 | − | 0.142639i | ||||
\(381\) | 15.2620 | − | 9.52627i | 0.781894 | − | 0.488045i | ||||
\(382\) | −0.624606 | + | 1.40289i | −0.0319576 | + | 0.0717781i | ||||
\(383\) | 6.50683 | − | 5.85877i | 0.332483 | − | 0.299369i | −0.485932 | − | 0.873997i | \(-0.661520\pi\) |
0.818415 | + | 0.574627i | \(0.194853\pi\) | |||||||
\(384\) | 3.61041 | − | 2.81790i | 0.184243 | − | 0.143800i | ||||
\(385\) | 9.20053 | + | 11.4390i | 0.468902 | + | 0.582986i | ||||
\(386\) | 2.34820i | 0.119520i | ||||||||
\(387\) | 6.47806 | + | 12.2125i | 0.329298 | + | 0.620796i | ||||
\(388\) | −3.09376 | − | 1.37743i | −0.157062 | − | 0.0699284i | ||||
\(389\) | 15.3822 | + | 1.61674i | 0.779910 | + | 0.0819718i | 0.486113 | − | 0.873896i | \(-0.338414\pi\) |
0.293797 | + | 0.955868i | \(0.405081\pi\) | |||||||
\(390\) | −1.82371 | + | 0.888368i | −0.0923470 | + | 0.0449843i | ||||
\(391\) | −0.0553054 | + | 0.0179698i | −0.00279691 | + | 0.000908772i | ||||
\(392\) | −13.6551 | + | 16.0444i | −0.689688 | + | 0.810365i | ||||
\(393\) | −3.88317 | + | 13.5171i | −0.195880 | + | 0.681846i | ||||
\(394\) | −14.9716 | − | 16.6276i | −0.754257 | − | 0.837687i | ||||
\(395\) | −4.49425 | − | 7.78427i | −0.226130 | − | 0.391669i | ||||
\(396\) | −8.90183 | − | 3.97193i | −0.447334 | − | 0.199597i | ||||
\(397\) | −2.78743 | + | 4.82796i | −0.139897 | + | 0.242308i | −0.927457 | − | 0.373929i | \(-0.878010\pi\) |
0.787561 | + | 0.616237i | \(0.211344\pi\) | |||||||
\(398\) | −3.07257 | + | 9.45638i | −0.154014 | + | 0.474006i | ||||
\(399\) | −33.3853 | + | 16.8433i | −1.67135 | + | 0.843217i | ||||
\(400\) | 1.92485 | + | 1.39848i | 0.0962423 | + | 0.0699241i | ||||
\(401\) | −2.34547 | + | 11.0346i | −0.117127 | + | 0.551040i | 0.879979 | + | 0.475014i | \(0.157557\pi\) |
−0.997106 | + | 0.0760269i | \(0.975777\pi\) | |||||||
\(402\) | −0.297942 | + | 4.23080i | −0.0148600 | + | 0.211013i | ||||
\(403\) | 3.71581 | + | 0.390547i | 0.185098 | + | 0.0194546i | ||||
\(404\) | −0.396747 | − | 3.77479i | −0.0197389 | − | 0.187803i | ||||
\(405\) | 10.4377 | + | 10.8513i | 0.518653 | + | 0.539204i | ||||
\(406\) | 0.0998913 | + | 0.439683i | 0.00495752 | + | 0.0218211i | ||||
\(407\) | 6.95969 | − | 17.2348i | 0.344979 | − | 0.854300i | ||||
\(408\) | 0.161030 | + | 1.14990i | 0.00797218 | + | 0.0569286i | ||||
\(409\) | 4.22720 | + | 19.8874i | 0.209022 | + | 0.983370i | 0.950099 | + | 0.311950i | \(0.100982\pi\) |
−0.741077 | + | 0.671420i | \(0.765685\pi\) | |||||||
\(410\) | −2.96761 | + | 6.66537i | −0.146560 | + | 0.329179i | ||||
\(411\) | −34.3446 | − | 18.2831i | −1.69410 | − | 0.901838i | ||||
\(412\) | −1.87133 | − | 5.75937i | −0.0921939 | − | 0.283744i | ||||
\(413\) | 30.1129 | − | 0.420340i | 1.48176 | − | 0.0206836i | ||||
\(414\) | 0.507955 | + | 0.606571i | 0.0249646 | + | 0.0298113i | ||||
\(415\) | 7.10689 | − | 0.746964i | 0.348863 | − | 0.0366670i | ||||
\(416\) | −0.710100 | − | 3.34076i | −0.0348155 | − | 0.163794i | ||||
\(417\) | 7.51604 | − | 18.5765i | 0.368062 | − | 0.909694i | ||||
\(418\) | 27.3201 | − | 0.959007i | 1.33627 | − | 0.0469066i | ||||
\(419\) | 11.3202i | 0.553027i | 0.961010 | + | 0.276514i | \(0.0891791\pi\) | ||||
−0.961010 | + | 0.276514i | \(0.910821\pi\) | |||||||
\(420\) | 7.50184 | − | 0.363158i | 0.366052 | − | 0.0177203i | ||||
\(421\) | 2.96907 | − | 2.15716i | 0.144704 | − | 0.105133i | −0.513078 | − | 0.858342i | \(-0.671495\pi\) |
0.657782 | + | 0.753208i | \(0.271495\pi\) | |||||||
\(422\) | −4.79496 | − | 10.7696i | −0.233415 | − | 0.524258i | ||||
\(423\) | −17.6399 | + | 11.8730i | −0.857682 | + | 0.577284i | ||||
\(424\) | −25.3331 | − | 22.8100i | −1.23028 | − | 1.10775i | ||||
\(425\) | 0.447907 | − | 0.199421i | 0.0217267 | − | 0.00967334i | ||||
\(426\) | 17.0248 | + | 4.89086i | 0.824853 | + | 0.236963i | ||||
\(427\) | −2.83817 | + | 31.1846i | −0.137349 | + | 1.50913i | ||||
\(428\) | −18.1847 | −0.878989 | ||||||||
\(429\) | −3.05076 | + | 2.55828i | −0.147292 | + | 0.123515i | ||||
\(430\) | 3.89346 | + | 6.74368i | 0.187760 | + | 0.325209i | ||||
\(431\) | −14.4492 | + | 3.07128i | −0.695995 | + | 0.147938i | −0.542306 | − | 0.840181i | \(-0.682449\pi\) |
−0.153689 | + | 0.988119i | \(0.549115\pi\) | |||||||
\(432\) | 4.86792 | − | 2.80090i | 0.234208 | − | 0.134759i | ||||
\(433\) | −13.3238 | − | 9.68031i | −0.640301 | − | 0.465206i | 0.219653 | − | 0.975578i | \(-0.429508\pi\) |
−0.859954 | + | 0.510372i | \(0.829508\pi\) | |||||||
\(434\) | 12.5761 | + | 7.02861i | 0.603671 | + | 0.337384i | ||||
\(435\) | 0.273571 | − | 0.405155i | 0.0131167 | − | 0.0194257i | ||||
\(436\) | −2.89203 | − | 6.49560i | −0.138503 | − | 0.311083i | ||||
\(437\) | 1.94624 | + | 0.866523i | 0.0931014 | + | 0.0414514i | ||||
\(438\) | 15.4794 | + | 13.0017i | 0.739632 | + | 0.621247i | ||||
\(439\) | −0.328427 | − | 0.189617i | −0.0156750 | − | 0.00904995i | 0.492142 | − | 0.870515i | \(-0.336214\pi\) |
−0.507817 | + | 0.861465i | \(0.669547\pi\) | |||||||
\(440\) | −15.4850 | − | 6.25306i | −0.738217 | − | 0.298103i | ||||
\(441\) | 15.7176 | − | 13.9268i | 0.748459 | − | 0.663181i | ||||
\(442\) | 0.148299 | + | 0.0481852i | 0.00705385 | + | 0.00229194i | ||||
\(443\) | 40.0657 | − | 4.21108i | 1.90358 | − | 0.200074i | 0.921480 | − | 0.388427i | \(-0.126981\pi\) |
0.982101 | + | 0.188353i | \(0.0603148\pi\) | |||||||
\(444\) | −5.03533 | − | 8.06706i | −0.238966 | − | 0.382846i | ||||
\(445\) | −1.22209 | + | 1.35726i | −0.0579324 | + | 0.0643405i | ||||
\(446\) | −16.7289 | − | 3.55584i | −0.792137 | − | 0.168374i | ||||
\(447\) | −20.2326 | + | 0.696553i | −0.956971 | + | 0.0329458i | ||||
\(448\) | 3.66895 | − | 18.5291i | 0.173342 | − | 0.875417i | ||||
\(449\) | 22.9740 | + | 7.46469i | 1.08421 | + | 0.352280i | 0.796006 | − | 0.605289i | \(-0.206943\pi\) |
0.288202 | + | 0.957570i | \(0.406943\pi\) | |||||||
\(450\) | −4.79386 | − | 4.63852i | −0.225985 | − | 0.218662i | ||||
\(451\) | −2.48409 | + | 14.1030i | −0.116971 | + | 0.664082i | ||||
\(452\) | −3.83161 | + | 2.21218i | −0.180224 | + | 0.104052i | ||||
\(453\) | −2.01609 | + | 11.4009i | −0.0947240 | + | 0.535662i | ||||
\(454\) | −6.45072 | + | 4.68672i | −0.302747 | + | 0.219959i | ||||
\(455\) | 1.20851 | − | 2.81962i | 0.0566557 | − | 0.132186i | ||||
\(456\) | 23.8047 | − | 35.2544i | 1.11476 | − | 1.65094i | ||||
\(457\) | 6.94314 | − | 32.6649i | 0.324786 | − | 1.52800i | −0.448407 | − | 0.893830i | \(-0.648008\pi\) |
0.773193 | − | 0.634170i | \(-0.218658\pi\) | |||||||
\(458\) | −2.62490 | + | 24.9743i | −0.122654 | + | 1.16697i | ||||
\(459\) | 0.00171175 | − | 1.15734i | 7.98974e−5 | − | 0.0540201i | ||||
\(460\) | −0.286324 | − | 0.317995i | −0.0133499 | − | 0.0148266i | ||||
\(461\) | 17.0848 | 0.795719 | 0.397859 | − | 0.917446i | \(-0.369753\pi\) | ||||
0.397859 | + | 0.917446i | \(0.369753\pi\) | |||||||
\(462\) | −14.6984 | + | 4.43265i | −0.683833 | + | 0.206226i | ||||
\(463\) | −24.1597 | −1.12280 | −0.561399 | − | 0.827545i | \(-0.689737\pi\) | ||||
−0.561399 | + | 0.827545i | \(0.689737\pi\) | |||||||
\(464\) | −0.122018 | − | 0.135515i | −0.00566455 | − | 0.00629112i | ||||
\(465\) | −3.77146 | − | 15.1583i | −0.174897 | − | 0.702952i | ||||
\(466\) | −1.04814 | + | 9.97238i | −0.0485541 | + | 0.461962i | ||||
\(467\) | −3.38342 | + | 15.9178i | −0.156566 | + | 0.736586i | 0.827881 | + | 0.560904i | \(0.189546\pi\) |
−0.984447 | + | 0.175682i | \(0.943787\pi\) | |||||||
\(468\) | 0.140091 | + | 2.03219i | 0.00647570 | + | 0.0939378i | ||||
\(469\) | −3.84202 | − | 5.13578i | −0.177408 | − | 0.237148i | ||||
\(470\) | −9.68981 | + | 7.04006i | −0.446958 | + | 0.324734i | ||||
\(471\) | 16.2993 | + | 2.88229i | 0.751032 | + | 0.132809i | ||||
\(472\) | −29.6698 | + | 17.1298i | −1.36566 | + | 0.788465i | ||||
\(473\) | 10.6187 | + | 10.9920i | 0.488247 | + | 0.505411i | ||||
\(474\) | 9.30933 | − | 1.30366i | 0.427592 | − | 0.0598791i | ||||
\(475\) | −17.0832 | − | 5.55068i | −0.783832 | − | 0.254683i | ||||
\(476\) | −0.434382 | − | 0.380277i | −0.0199099 | − | 0.0174300i | ||||
\(477\) | 21.8150 | + | 26.0502i | 0.998840 | + | 1.19276i | ||||
\(478\) | −25.9159 | − | 5.50859i | −1.18537 | − | 0.251957i | ||||
\(479\) | −4.73023 | + | 5.25345i | −0.216130 | + | 0.240036i | −0.841454 | − | 0.540328i | \(-0.818300\pi\) |
0.625324 | + | 0.780365i | \(0.284967\pi\) | |||||||
\(480\) | −12.1129 | + | 7.56071i | −0.552878 | + | 0.345098i | ||||
\(481\) | −3.86289 | + | 0.406006i | −0.176132 | + | 0.0185123i | ||||
\(482\) | −0.0849480 | − | 0.0276013i | −0.00386928 | − | 0.00125720i | ||||
\(483\) | −1.18095 | − | 0.191876i | −0.0537352 | − | 0.00873065i | ||||
\(484\) | −10.6722 | − | 1.49593i | −0.485101 | − | 0.0679968i | ||||
\(485\) | 5.00816 | + | 2.89146i | 0.227409 | + | 0.131295i | ||||
\(486\) | −14.6139 | + | 5.86254i | −0.662901 | + | 0.265930i | ||||
\(487\) | 5.89314 | + | 2.62380i | 0.267044 | + | 0.118896i | 0.535891 | − | 0.844287i | \(-0.319976\pi\) |
−0.268847 | + | 0.963183i | \(0.586643\pi\) | |||||||
\(488\) | −14.4888 | − | 32.5425i | −0.655879 | − | 1.47313i | ||||
\(489\) | −1.71819 | − | 1.16017i | −0.0776993 | − | 0.0524646i | ||||
\(490\) | 8.56622 | − | 8.15734i | 0.386982 | − | 0.368511i | ||||
\(491\) | −2.75484 | − | 2.00151i | −0.124324 | − | 0.0903267i | 0.523886 | − | 0.851789i | \(-0.324482\pi\) |
−0.648210 | + | 0.761462i | \(0.724482\pi\) | |||||||
\(492\) | 5.08681 | + | 5.27275i | 0.229331 | + | 0.237714i | ||||
\(493\) | −0.0367567 | + | 0.00781288i | −0.00165544 | + | 0.000351875i | ||||
\(494\) | −2.85632 | − | 4.94729i | −0.128512 | − | 0.222589i | ||||
\(495\) | 14.4087 | + | 8.33433i | 0.647624 | + | 0.374600i | ||||
\(496\) | −5.82661 | −0.261623 | ||||||||
\(497\) | −24.3166 | + | 11.2357i | −1.09075 | + | 0.503991i | ||||
\(498\) | −2.06347 | + | 7.18280i | −0.0924662 | + | 0.321869i | ||||
\(499\) | −24.1801 | + | 10.7657i | −1.08245 | + | 0.481939i | −0.868897 | − | 0.494992i | \(-0.835171\pi\) |
−0.213555 | + | 0.976931i | \(0.568504\pi\) | |||||||
\(500\) | 8.77102 | + | 7.89746i | 0.392252 | + | 0.353185i | ||||
\(501\) | 2.48609 | − | 35.3026i | 0.111070 | − | 1.57721i | ||||
\(502\) | 11.3860 | + | 25.5734i | 0.508182 | + | 1.14140i | ||||
\(503\) | 5.22459 | − | 3.79589i | 0.232953 | − | 0.169250i | −0.465185 | − | 0.885213i | \(-0.654012\pi\) |
0.698138 | + | 0.715963i | \(0.254012\pi\) | |||||||
\(504\) | −7.87882 | + | 22.5529i | −0.350950 | + | 1.00459i | ||||
\(505\) | 6.48142i | 0.288420i | ||||||||
\(506\) | 0.725222 | + | 0.488977i | 0.0322401 | + | 0.0217377i | ||||
\(507\) | −20.1016 | − | 8.13312i | −0.892746 | − | 0.361205i | ||||
\(508\) | −2.11574 | − | 9.95376i | −0.0938706 | − | 0.441627i | ||||
\(509\) | −3.03731 | + | 0.319234i | −0.134626 | + | 0.0141498i | −0.171602 | − | 0.985166i | \(-0.554894\pi\) |
0.0369755 | + | 0.999316i | \(0.488228\pi\) | |||||||
\(510\) | −0.0224301 | − | 0.651522i | −0.000993220 | − | 0.0288499i | ||||
\(511\) | −30.5674 | + | 0.426684i | −1.35222 | + | 0.0188754i | ||||
\(512\) | 3.65642 | + | 11.2533i | 0.161592 | + | 0.497330i | ||||
\(513\) | −28.4178 | + | 31.4675i | −1.25468 | + | 1.38932i | ||||
\(514\) | −1.37367 | + | 3.08531i | −0.0605899 | + | 0.136087i | ||||
\(515\) | 2.15000 | + | 10.1150i | 0.0947404 | + | 0.445719i | ||||
\(516\) | 7.74375 | − | 1.08442i | 0.340900 | − | 0.0477390i | ||||
\(517\) | −15.1071 | + | 18.0106i | −0.664411 | + | 0.792106i | ||||
\(518\) | −14.3073 | − | 4.42893i | −0.628628 | − | 0.194596i | ||||
\(519\) | 8.29340 | + | 22.8209i | 0.364040 | + | 1.00173i | ||||
\(520\) | 0.364783 | + | 3.47068i | 0.0159968 | + | 0.152199i | ||||
\(521\) | −28.9611 | − | 3.04394i | −1.26881 | − | 0.133357i | −0.553905 | − | 0.832580i | \(-0.686863\pi\) |
−0.714904 | + | 0.699223i | \(0.753530\pi\) | |||||||
\(522\) | 0.285474 | + | 0.424134i | 0.0124948 | + | 0.0185638i | ||||
\(523\) | −0.785838 | + | 3.69708i | −0.0343623 | + | 0.161662i | −0.991983 | − | 0.126370i | \(-0.959667\pi\) |
0.957621 | + | 0.288032i | \(0.0930008\pi\) | |||||||
\(524\) | 6.43557 | + | 4.67572i | 0.281139 | + | 0.204260i | ||||
\(525\) | 10.0716 | + | 0.568117i | 0.439560 | + | 0.0247947i | ||||
\(526\) | 2.49435 | − | 7.67682i | 0.108759 | − | 0.334725i | ||||
\(527\) | −0.600351 | + | 1.03984i | −0.0261517 | + | 0.0452961i | ||||
\(528\) | 4.31449 | − | 4.46500i | 0.187764 | − | 0.194314i | ||||
\(529\) | −11.4659 | − | 19.8596i | −0.498518 | − | 0.863459i | ||||
\(530\) | 12.8066 | + | 14.2232i | 0.556283 | + | 0.617815i | ||||
\(531\) | 31.6742 | − | 12.7609i | 1.37454 | − | 0.553776i | ||||
\(532\) | 2.50421 | + | 21.0018i | 0.108571 | + | 0.910544i | ||||
\(533\) | 2.84603 | − | 0.924730i | 0.123275 | − | 0.0400545i | ||||
\(534\) | −0.836454 | − | 1.71713i | −0.0361969 | − | 0.0743076i | ||||
\(535\) | 30.8824 | + | 3.24587i | 1.33516 | + | 0.140331i | ||||
\(536\) | 6.66556 | + | 2.96770i | 0.287908 | + | 0.128185i | ||||
\(537\) | −3.81308 | + | 21.5629i | −0.164546 | + | 0.930507i | ||||
\(538\) | − | 9.39168i | − | 0.404904i | ||||||
\(539\) | 12.4366 | − | 19.6044i | 0.535681 | − | 0.844420i | ||||
\(540\) | 7.78509 | − | 3.45236i | 0.335017 | − | 0.148566i | ||||
\(541\) | 5.67921 | − | 5.11359i | 0.244168 | − | 0.219850i | −0.537955 | − | 0.842973i | \(-0.680803\pi\) |
0.782124 | + | 0.623123i | \(0.214136\pi\) | |||||||
\(542\) | −0.651803 | + | 1.46397i | −0.0279973 | + | 0.0628830i | ||||
\(543\) | 19.1734 | + | 30.7176i | 0.822810 | + | 1.31822i | ||||
\(544\) | 1.07360 | + | 0.228200i | 0.0460300 | + | 0.00978398i | ||||
\(545\) | 3.75200 | + | 11.5475i | 0.160718 | + | 0.494639i | ||||
\(546\) | 2.25947 | + | 2.27757i | 0.0966964 | + | 0.0974708i | ||||
\(547\) | −14.9884 | − | 20.6297i | −0.640856 | − | 0.882062i | 0.357805 | − | 0.933796i | \(-0.383525\pi\) |
−0.998661 | + | 0.0517338i | \(0.983525\pi\) | |||||||
\(548\) | −16.3545 | + | 14.7257i | −0.698631 | + | 0.629050i | ||||
\(549\) | 9.75318 | + | 34.1404i | 0.416255 | + | 1.45708i | ||||
\(550\) | −6.51205 | − | 3.46100i | −0.277675 | − | 0.147577i | ||||
\(551\) | 1.19225 | + | 0.688348i | 0.0507917 | + | 0.0293246i | ||||
\(552\) | 1.27921 | − | 0.464881i | 0.0544469 | − | 0.0197866i | ||||
\(553\) | −9.36355 | + | 10.6958i | −0.398179 | + | 0.454831i | ||||
\(554\) | −3.32532 | + | 4.57692i | −0.141279 | + | 0.194454i | ||||
\(555\) | 7.11141 | + | 14.5988i | 0.301862 | + | 0.619685i | ||||
\(556\) | −8.42334 | − | 7.58441i | −0.357229 | − | 0.321650i | ||||
\(557\) | −0.767068 | + | 7.29817i | −0.0325017 | + | 0.309233i | 0.966179 | + | 0.257874i | \(0.0830220\pi\) |
−0.998680 | + | 0.0513592i | \(0.983645\pi\) | |||||||
\(558\) | 16.1747 | + | 2.28947i | 0.684728 | + | 0.0969209i | ||||
\(559\) | 0.986932 | − | 3.03746i | 0.0417428 | − | 0.128471i | ||||
\(560\) | −1.41468 | + | 4.57002i | −0.0597812 | + | 0.193119i | ||||
\(561\) | −0.352293 | − | 1.23004i | −0.0148738 | − | 0.0519321i | ||||
\(562\) | 12.7970 | − | 22.1651i | 0.539809 | − | 0.934977i | ||||
\(563\) | −6.62635 | + | 1.40847i | −0.279267 | + | 0.0593601i | −0.345416 | − | 0.938450i | \(-0.612262\pi\) |
0.0661486 | + | 0.997810i | \(0.478929\pi\) | |||||||
\(564\) | 2.90386 | + | 11.6713i | 0.122275 | + | 0.491449i | ||||
\(565\) | 6.90196 | − | 3.07295i | 0.290368 | − | 0.129280i | ||||
\(566\) | −19.9932 | + | 6.49617i | −0.840375 | + | 0.273055i | ||||
\(567\) | 10.9262 | − | 21.1570i | 0.458855 | − | 0.888511i | ||||
\(568\) | 17.9114 | − | 24.6529i | 0.751546 | − | 1.03441i | ||||
\(569\) | −0.197443 | − | 1.87854i | −0.00827722 | − | 0.0787525i | 0.989603 | − | 0.143823i | \(-0.0459395\pi\) |
−0.997881 | + | 0.0650702i | \(0.979273\pi\) | |||||||
\(570\) | −15.3608 | + | 18.2880i | −0.643394 | + | 0.766000i | ||||
\(571\) | 26.2847 | − | 15.1755i | 1.09998 | − | 0.635074i | 0.163764 | − | 0.986499i | \(-0.447636\pi\) |
0.936216 | + | 0.351426i | \(0.114303\pi\) | |||||||
\(572\) | 0.770613 | + | 2.11605i | 0.0322210 | + | 0.0884763i | ||||
\(573\) | −1.62015 | − | 2.07580i | −0.0676827 | − | 0.0867180i | ||||
\(574\) | 11.4914 | + | 1.04585i | 0.479642 | + | 0.0436531i | ||||
\(575\) | −0.337813 | − | 0.464960i | −0.0140878 | − | 0.0193902i | ||||
\(576\) | −3.69839 | − | 21.0962i | −0.154099 | − | 0.879008i | ||||
\(577\) | 7.45303 | − | 8.27743i | 0.310274 | − | 0.344594i | −0.567759 | − | 0.823195i | \(-0.692189\pi\) |
0.878032 | + | 0.478601i | \(0.158856\pi\) | |||||||
\(578\) | 11.4566 | − | 12.7239i | 0.476533 | − | 0.529244i | ||||
\(579\) | −3.55426 | − | 1.89208i | −0.147710 | − | 0.0786323i | ||||
\(580\) | −0.162531 | − | 0.223705i | −0.00674875 | − | 0.00928885i | ||||
\(581\) | −4.74038 | − | 10.2593i | −0.196664 | − | 0.425625i | ||||
\(582\) | −4.76755 | + | 3.72104i | −0.197621 | + | 0.154242i | ||||
\(583\) | 31.1459 | + | 21.0000i | 1.28993 | + | 0.869729i | ||||
\(584\) | 30.1175 | − | 17.3884i | 1.24627 | − | 0.719536i | ||||
\(585\) | 0.124823 | − | 3.47620i | 0.00516081 | − | 0.143723i | ||||
\(586\) | −1.30170 | − | 12.3848i | −0.0537727 | − | 0.511613i | ||||
\(587\) | 11.8252 | − | 16.2761i | 0.488080 | − | 0.671785i | −0.491952 | − | 0.870622i | \(-0.663717\pi\) |
0.980032 | + | 0.198838i | \(0.0637166\pi\) | |||||||
\(588\) | −4.36706 | − | 11.0462i | −0.180095 | − | 0.455536i | ||||
\(589\) | 41.8357 | − | 13.5933i | 1.72381 | − | 0.560100i | ||||
\(590\) | 17.5720 | − | 7.82357i | 0.723429 | − | 0.322091i | ||||
\(591\) | 37.2313 | − | 9.26330i | 1.53149 | − | 0.381041i | ||||
\(592\) | 5.92487 | − | 1.25937i | 0.243511 | − | 0.0517598i | ||||
\(593\) | 19.9645 | − | 34.5794i | 0.819842 | − | 1.42001i | −0.0859566 | − | 0.996299i | \(-0.527395\pi\) |
0.905798 | − | 0.423709i | \(-0.139272\pi\) | |||||||
\(594\) | −13.7315 | + | 10.6995i | −0.563409 | + | 0.439007i | ||||
\(595\) | 0.669819 | + | 0.723346i | 0.0274599 | + | 0.0296543i | ||||
\(596\) | −3.53850 | + | 10.8904i | −0.144943 | + | 0.446087i | ||||
\(597\) | −11.8376 | − | 12.2703i | −0.484479 | − | 0.502188i | ||||
\(598\) | 0.0191058 | − | 0.181780i | 0.000781296 | − | 0.00743354i | ||||
\(599\) | −20.1127 | − | 18.1096i | −0.821784 | − | 0.739938i | 0.146655 | − | 0.989188i | \(-0.453149\pi\) |
−0.968439 | + | 0.249250i | \(0.919816\pi\) | |||||||
\(600\) | −10.3167 | + | 5.02549i | −0.421177 | + | 0.205165i | ||||
\(601\) | −7.00340 | + | 9.63936i | −0.285675 | + | 0.393198i | −0.927603 | − | 0.373567i | \(-0.878135\pi\) |
0.641928 | + | 0.766765i | \(0.278135\pi\) | |||||||
\(602\) | 8.11184 | − | 9.26599i | 0.330614 | − | 0.377654i | ||||
\(603\) | −6.16372 | − | 3.85998i | −0.251006 | − | 0.157190i | ||||
\(604\) | 5.67132 | + | 3.27434i | 0.230763 | + | 0.133231i | ||||
\(605\) | 17.8573 | + | 4.44542i | 0.726001 | + | 0.180732i | ||||
\(606\) | −6.28345 | − | 2.54228i | −0.255248 | − | 0.103273i | ||||
\(607\) | −18.4466 | + | 16.6094i | −0.748725 | + | 0.674155i | −0.952389 | − | 0.304886i | \(-0.901382\pi\) |
0.203664 | + | 0.979041i | \(0.434715\pi\) | |||||||
\(608\) | −23.6353 | − | 32.5312i | −0.958537 | − | 1.31931i | ||||
\(609\) | −0.745998 | − | 0.203082i | −0.0302294 | − | 0.00822930i | ||||
\(610\) | 6.18032 | + | 19.0211i | 0.250234 | + | 0.770140i | ||||
\(611\) | 4.80508 | + | 1.02135i | 0.194393 | + | 0.0413195i | ||||
\(612\) | −0.614920 | − | 0.224499i | −0.0248567 | − | 0.00907485i | ||||
\(613\) | −16.9854 | + | 38.1498i | −0.686033 | + | 1.54086i | 0.147908 | + | 0.989001i | \(0.452746\pi\) |
−0.833941 | + | 0.551854i | \(0.813921\pi\) | |||||||
\(614\) | 0.463345 | − | 0.417198i | 0.0186991 | − | 0.0168367i | ||||
\(615\) | −7.69761 | − | 9.86250i | −0.310397 | − | 0.397695i | ||||
\(616\) | −1.46963 | + | 26.3699i | −0.0592130 | + | 1.06248i | ||||
\(617\) | − | 10.6454i | − | 0.428567i | −0.976772 | − | 0.214283i | \(-0.931258\pi\) | ||
0.976772 | − | 0.214283i | \(-0.0687416\pi\) | |||||||
\(618\) | −10.6493 | − | 1.88318i | −0.428379 | − | 0.0757525i | ||||
\(619\) | −11.1441 | − | 4.96165i | −0.447918 | − | 0.199426i | 0.170366 | − | 0.985381i | \(-0.445505\pi\) |
−0.618284 | + | 0.785955i | \(0.712172\pi\) | |||||||
\(620\) | −8.78690 | − | 0.923540i | −0.352890 | − | 0.0370903i | ||||
\(621\) | −1.32740 | + | 0.280097i | −0.0532669 | + | 0.0112399i | ||||
\(622\) | −21.5288 | + | 6.99512i | −0.863225 | + | 0.280479i | ||||
\(623\) | 2.65485 | + | 1.13788i | 0.106364 | + | 0.0455883i | ||||
\(624\) | −1.24706 | − | 0.358253i | −0.0499222 | − | 0.0143416i | ||||
\(625\) | −6.12111 | − | 6.79818i | −0.244844 | − | 0.271927i | ||||
\(626\) | −7.61438 | − | 13.1885i | −0.304332 | − | 0.527118i | ||||
\(627\) | −20.5618 | + | 42.1247i | −0.821161 | + | 1.68230i | ||||
\(628\) | 4.68115 | − | 8.10798i | 0.186798 | − | 0.323544i | ||||
\(629\) | 0.385723 | − | 1.18713i | 0.0153798 | − | 0.0473341i | ||||
\(630\) | 5.72287 | − | 12.1305i | 0.228004 | − | 0.483291i | ||||
\(631\) | −25.3690 | − | 18.4317i | −1.00992 | − | 0.733753i | −0.0457308 | − | 0.998954i | \(-0.514562\pi\) |
−0.964193 | + | 0.265201i | \(0.914562\pi\) | |||||||
\(632\) | 3.36221 | − | 15.8179i | 0.133741 | − | 0.629204i | ||||
\(633\) | 20.1647 | + | 1.42004i | 0.801473 | + | 0.0564416i | ||||
\(634\) | 21.4651 | + | 2.25607i | 0.852489 | + | 0.0896002i | ||||
\(635\) | 1.81639 | + | 17.2818i | 0.0720812 | + | 0.685806i | ||||
\(636\) | 18.0630 | − | 6.56430i | 0.716243 | − | 0.260291i | ||||
\(637\) | −4.83727 | − | 0.372254i | −0.191660 | − | 0.0147492i | ||||
\(638\) | 0.433047 | + | 0.363236i | 0.0171445 | + | 0.0143806i | ||||
\(639\) | −21.1207 | + | 21.8281i | −0.835524 | + | 0.863505i | ||||
\(640\) | 0.919717 | + | 4.32693i | 0.0363550 | + | 0.171037i | ||||
\(641\) | 3.73318 | − | 8.38487i | 0.147452 | − | 0.331182i | −0.824686 | − | 0.565590i | \(-0.808648\pi\) |
0.972138 | + | 0.234408i | \(0.0753151\pi\) | |||||||
\(642\) | −15.2601 | + | 28.6659i | −0.602268 | + | 1.13135i | ||||
\(643\) | 6.07271 | + | 18.6899i | 0.239484 | + | 0.737057i | 0.996495 | + | 0.0836545i | \(0.0266592\pi\) |
−0.757010 | + | 0.653403i | \(0.773341\pi\) | |||||||
\(644\) | −0.330153 | + | 0.590733i | −0.0130099 | + | 0.0232782i | ||||
\(645\) | −13.3445 | + | 0.459414i | −0.525440 | + | 0.0180894i | ||||
\(646\) | 1.82577 | − | 0.191897i | 0.0718342 | − | 0.00755007i | ||||
\(647\) | −3.95644 | − | 18.6136i | −0.155544 | − | 0.731775i | −0.984910 | − | 0.173070i | \(-0.944631\pi\) |
0.829366 | − | 0.558706i | \(-0.188702\pi\) | |||||||
\(648\) | 0.891976 | + | 27.0735i | 0.0350401 | + | 1.06355i | ||||
\(649\) | 29.7449 | − | 23.2480i | 1.16759 | − | 0.912563i | ||||
\(650\) | 1.54109i | 0.0604466i | ||||||||
\(651\) | −20.7719 | + | 13.3719i | −0.814115 | + | 0.524088i | ||||
\(652\) | −0.948694 | + | 0.689267i | −0.0371537 | + | 0.0269938i | ||||
\(653\) | −14.0967 | − | 31.6617i | −0.551647 | − | 1.23902i | −0.947220 | − | 0.320585i | \(-0.896120\pi\) |
0.395573 | − | 0.918435i | \(-0.370546\pi\) | |||||||
\(654\) | −12.6665 | − | 0.892000i | −0.495297 | − | 0.0348800i | ||||
\(655\) | −10.0947 | − | 9.08933i | −0.394433 | − | 0.355149i | ||||
\(656\) | −4.26324 | + | 1.89812i | −0.166451 | + | 0.0741090i | ||||
\(657\) | −32.1523 | + | 12.9535i | −1.25438 | + | 0.505364i | ||||
\(658\) | 15.4784 | + | 10.9189i | 0.603410 | + | 0.425663i | ||||
\(659\) | −9.40653 | −0.366427 | −0.183213 | − | 0.983073i | \(-0.558650\pi\) | ||||
−0.183213 | + | 0.983073i | \(0.558650\pi\) | |||||||
\(660\) | 7.21424 | − | 6.04964i | 0.280814 | − | 0.235482i | ||||
\(661\) | −0.0540771 | − | 0.0936643i | −0.00210336 | − | 0.00364312i | 0.864972 | − | 0.501820i | \(-0.167336\pi\) |
−0.867075 | + | 0.498177i | \(0.834003\pi\) | |||||||
\(662\) | 28.1163 | − | 5.97631i | 1.09277 | − | 0.232276i | ||||
\(663\) | −0.192427 | + | 0.185641i | −0.00747324 | + | 0.00720971i | ||||
\(664\) | 10.4011 | + | 7.55688i | 0.403643 | + | 0.293264i | ||||
\(665\) | −0.504103 | − | 36.1137i | −0.0195483 | − | 1.40043i | ||||
\(666\) | −16.9423 | + | 1.16793i | −0.656500 | + | 0.0452565i | ||||
\(667\) | 0.0179162 | + | 0.0402405i | 0.000693719 | + | 0.00155812i | ||||
\(668\) | −18.2868 | − | 8.14182i | −0.707539 | − | 0.315016i | ||||
\(669\) | 18.8617 | − | 22.4560i | 0.729234 | − | 0.868197i | ||||
\(670\) | −3.54769 | − | 2.04826i | −0.137059 | − | 0.0791311i | ||||
\(671\) | 20.8073 | + | 33.2851i | 0.803256 | + | 1.28496i | ||||
\(672\) | 17.4928 | + | 14.2813i | 0.674800 | + | 0.550913i | ||||
\(673\) | −21.2632 | − | 6.90883i | −0.819636 | − | 0.266316i | −0.130962 | − | 0.991387i | \(-0.541807\pi\) |
−0.688674 | + | 0.725071i | \(0.741807\pi\) | |||||||
\(674\) | −0.0897622 | + | 0.00943439i | −0.00345751 | + | 0.000363399i | ||||
\(675\) | 10.8836 | − | 3.51852i | 0.418911 | − | 0.135428i | ||||
\(676\) | −8.20711 | + | 9.11492i | −0.315658 | + | 0.350574i | ||||
\(677\) | 5.36503 | + | 1.14037i | 0.206195 | + | 0.0438281i | 0.309851 | − | 0.950785i | \(-0.399721\pi\) |
−0.103656 | + | 0.994613i | \(0.533054\pi\) | |||||||
\(678\) | 0.271853 | + | 7.89648i | 0.0104405 | + | 0.303262i | ||||
\(679\) | 1.77646 | − | 8.97153i | 0.0681741 | − | 0.344296i | ||||
\(680\) | −1.06660 | − | 0.346560i | −0.0409023 | − | 0.0132900i | ||||
\(681\) | −1.89615 | − | 13.5403i | −0.0726607 | − | 0.518864i | ||||
\(682\) | 17.8838 | − | 2.51672i | 0.684806 | − | 0.0963701i | ||||
\(683\) | 4.72303 | − | 2.72684i | 0.180722 | − | 0.104340i | −0.406910 | − | 0.913468i | \(-0.633394\pi\) |
0.587632 | + | 0.809129i | \(0.300060\pi\) | |||||||
\(684\) | 11.2382 | + | 21.1864i | 0.429704 | + | 0.810082i | ||||
\(685\) | 30.4028 | − | 22.0889i | 1.16163 | − | 0.843974i | ||||
\(686\) | −16.5785 | − | 8.66731i | −0.632968 | − | 0.330919i | ||||
\(687\) | −35.6864 | − | 24.0964i | −1.36152 | − | 0.919334i | ||||
\(688\) | −1.03552 | + | 4.87176i | −0.0394790 | + | 0.185734i | ||||
\(689\) | 0.820533 | − | 7.80685i | 0.0312598 | − | 0.297417i | ||||
\(690\) | −0.741557 | + | 0.184503i | −0.0282306 | + | 0.00702389i | ||||
\(691\) | −27.1917 | − | 30.1994i | −1.03442 | − | 1.14884i | −0.988703 | − | 0.149886i | \(-0.952109\pi\) |
−0.0457168 | − | 0.998954i | \(-0.514557\pi\) | |||||||
\(692\) | 13.7340 | 0.522088 | ||||||||
\(693\) | 5.13409 | − | 25.8194i | 0.195028 | − | 0.980798i | ||||
\(694\) | −32.3754 | −1.22896 | ||||||||
\(695\) | 12.9513 | + | 14.3839i | 0.491270 | + | 0.545611i | ||||
\(696\) | 0.853508 | − | 0.212357i | 0.0323521 | − | 0.00804936i | ||||
\(697\) | −0.100522 | + | 0.956407i | −0.00380756 | + | 0.0362265i | ||||
\(698\) | 1.03637 | − | 4.87574i | 0.0392272 | − | 0.184550i | ||||
\(699\) | −14.2498 | − | 9.62182i | −0.538976 | − | 0.363931i | ||||
\(700\) | 2.24777 | − | 5.24436i | 0.0849575 | − | 0.198218i | ||||
\(701\) | 5.81185 | − | 4.22255i | 0.219510 | − | 0.159484i | −0.472596 | − | 0.881279i | \(-0.656683\pi\) |
0.692106 | + | 0.721796i | \(0.256683\pi\) | |||||||
\(702\) | 3.32106 | + | 1.48452i | 0.125345 | + | 0.0560296i | ||||
\(703\) | −39.6032 | + | 22.8649i | −1.49366 | + | 0.862366i | ||||
\(704\) | −10.3838 | − | 21.2801i | −0.391354 | − | 0.802025i | ||||
\(705\) | −2.84827 | − | 20.3392i | −0.107272 | − | 0.766020i | ||||
\(706\) | 13.5068 | + | 4.38863i | 0.508335 | + | 0.165168i | ||||
\(707\) | 9.70355 | − | 3.30330i | 0.364939 | − | 0.124234i | ||||
\(708\) | −0.664566 | − | 19.3035i | −0.0249759 | − | 0.725471i | ||||
\(709\) | 30.9767 | + | 6.58430i | 1.16335 | + | 0.247279i | 0.748832 | − | 0.662760i | \(-0.230615\pi\) |
0.414523 | + | 0.910039i | \(0.363949\pi\) | |||||||
\(710\) | −11.4480 | + | 12.7143i | −0.429636 | + | 0.477159i | ||||
\(711\) | −5.52785 | + | 15.1412i | −0.207310 | + | 0.567838i | ||||
\(712\) | −3.26786 | + | 0.343466i | −0.122468 | + | 0.0128719i | ||||
\(713\) | 1.33857 | + | 0.434929i | 0.0501299 | + | 0.0162882i | ||||
\(714\) | −0.963983 | + | 0.365634i | −0.0360761 | + | 0.0136835i | ||||
\(715\) | −0.931003 | − | 3.73116i | −0.0348175 | − | 0.139537i | ||||
\(716\) | 10.7263 | + | 6.19284i | 0.400861 | + | 0.231437i | ||||
\(717\) | 29.2199 | − | 34.7880i | 1.09124 | − | 1.29918i | ||||
\(718\) | 6.27938 | + | 2.79576i | 0.234344 | + | 0.104337i | ||||
\(719\) | 15.2248 | + | 34.1956i | 0.567791 | + | 1.27528i | 0.938098 | + | 0.346370i | \(0.112586\pi\) |
−0.370307 | + | 0.928909i | \(0.620748\pi\) | |||||||
\(720\) | 0.373059 | + | 5.41167i | 0.0139031 | + | 0.201681i | ||||
\(721\) | 14.0477 | − | 8.37400i | 0.523163 | − | 0.311864i | ||||
\(722\) | −38.8856 | − | 28.2520i | −1.44717 | − | 1.05143i | ||||
\(723\) | 0.110225 | − | 0.106338i | 0.00409933 | − | 0.00395477i | ||||
\(724\) | 20.0338 | − | 4.25832i | 0.744551 | − | 0.158259i | ||||
\(725\) | −0.185695 | − | 0.321633i | −0.00689653 | − | 0.0119451i | ||||
\(726\) | −11.3140 | + | 15.5681i | −0.419902 | + | 0.577788i | ||||
\(727\) | 45.3591 | 1.68227 | 0.841137 | − | 0.540822i | \(-0.181887\pi\) | ||||
0.841137 | + | 0.540822i | \(0.181887\pi\) | |||||||
\(728\) | 5.01015 | − | 2.31499i | 0.185689 | − | 0.0857991i | ||||
\(729\) | 2.90169 | − | 26.8436i | 0.107470 | − | 0.994208i | ||||
\(730\) | −17.8372 | + | 7.94164i | −0.660185 | + | 0.293933i | ||||
\(731\) | 0.762736 | + | 0.686771i | 0.0282108 | + | 0.0254011i | ||||
\(732\) | 20.0335 | + | 1.41080i | 0.740459 | + | 0.0521448i | ||||
\(733\) | 12.2828 | + | 27.5875i | 0.453674 | + | 1.01897i | 0.985119 | + | 0.171875i | \(0.0549826\pi\) |
−0.531445 | + | 0.847093i | \(0.678351\pi\) | |||||||
\(734\) | −2.98388 | + | 2.16792i | −0.110137 | + | 0.0800193i | ||||
\(735\) | 5.44475 | + | 19.5388i | 0.200833 | + | 0.720700i | ||||
\(736\) | − | 1.28658i | − | 0.0474240i | ||||||
\(737\) | −7.72912 | − | 2.21477i | −0.284706 | − | 0.0815821i | ||||
\(738\) | 12.5806 | − | 3.59400i | 0.463097 | − | 0.132297i | ||||
\(739\) | −4.67451 | − | 21.9918i | −0.171954 | − | 0.808982i | −0.976572 | − | 0.215189i | \(-0.930963\pi\) |
0.804618 | − | 0.593793i | \(-0.202370\pi\) | |||||||
\(740\) | 9.13469 | − | 0.960095i | 0.335798 | − | 0.0352938i | ||||
\(741\) | 9.78980 | − | 0.337035i | 0.359637 | − | 0.0123813i | ||||
\(742\) | 14.7670 | − | 26.4221i | 0.542113 | − | 0.969986i | ||||
\(743\) | 12.6450 | + | 38.9173i | 0.463900 | + | 1.42774i | 0.860361 | + | 0.509686i | \(0.170238\pi\) |
−0.396461 | + | 0.918052i | \(0.629762\pi\) | |||||||
\(744\) | 13.2058 | − | 24.8070i | 0.484148 | − | 0.909468i | ||||
\(745\) | 7.95319 | − | 17.8632i | 0.291382 | − | 0.654455i | ||||
\(746\) | 4.79516 | + | 22.5595i | 0.175563 | + | 0.825961i | ||||
\(747\) | −9.20932 | − | 8.91090i | −0.336951 | − | 0.326033i | ||||
\(748\) | −0.721955 | − | 0.0503522i | −0.0263973 | − | 0.00184106i | ||||
\(749\) | −10.8799 | − | 47.8893i | −0.397545 | − | 1.74984i | ||||
\(750\) | 19.8098 | − | 7.19912i | 0.723352 | − | 0.262875i | ||||
\(751\) | −0.308964 | − | 2.93959i | −0.0112743 | − | 0.107267i | 0.987438 | − | 0.158010i | \(-0.0505078\pi\) |
−0.998712 | + | 0.0507427i | \(0.983841\pi\) | |||||||
\(752\) | −7.61882 | − | 0.800770i | −0.277830 | − | 0.0292011i | ||||
\(753\) | −47.8826 | − | 3.37200i | −1.74494 | − | 0.122883i | ||||
\(754\) | 0.0245574 | − | 0.115533i | 0.000894327 | − | 0.00420748i | ||||
\(755\) | −9.04695 | − | 6.57300i | −0.329252 | − | 0.239216i | ||||
\(756\) | −9.13636 | − | 9.89579i | −0.332286 | − | 0.359906i | ||||
\(757\) | −12.6344 | + | 38.8848i | −0.459206 | + | 1.41329i | 0.406919 | + | 0.913464i | \(0.366603\pi\) |
−0.866125 | + | 0.499827i | \(0.833397\pi\) | |||||||
\(758\) | 8.39267 | − | 14.5365i | 0.304836 | − | 0.527991i | ||||
\(759\) | −1.32448 | + | 0.703708i | −0.0480755 | + | 0.0255430i | ||||
\(760\) | 20.5434 | + | 35.5822i | 0.745187 | + | 1.29070i | ||||
\(761\) | −13.1706 | − | 14.6274i | −0.477432 | − | 0.530242i | 0.455528 | − | 0.890221i | \(-0.349450\pi\) |
−0.932960 | + | 0.359979i | \(0.882784\pi\) | |||||||
\(762\) | −17.4664 | − | 5.01772i | −0.632740 | − | 0.181773i | ||||
\(763\) | 15.3759 | − | 11.5025i | 0.556643 | − | 0.416418i | ||||
\(764\) | −1.41651 | + | 0.460253i | −0.0512476 | + | 0.0166514i | ||||
\(765\) | 1.00423 | + | 0.491020i | 0.0363079 | + | 0.0177529i | ||||
\(766\) | −8.79583 | − | 0.924479i | −0.317806 | − | 0.0334028i | ||||
\(767\) | −7.20710 | − | 3.20881i | −0.260233 | − | 0.115863i | ||||
\(768\) | −28.9090 | − | 5.11213i | −1.04316 | − | 0.184468i | ||||
\(769\) | 16.4140i | 0.591902i | 0.955203 | + | 0.295951i | \(0.0956365\pi\) | ||||
−0.955203 | + | 0.295951i | \(0.904363\pi\) | |||||||
\(770\) | 2.36817 | − | 14.6380i | 0.0853431 | − | 0.527515i | ||||
\(771\) | −3.56312 | − | 4.56522i | −0.128323 | − | 0.164412i | ||||
\(772\) | −1.69250 | + | 1.52393i | −0.0609144 | + | 0.0548476i | ||||
\(773\) | −4.68837 | + | 10.5302i | −0.168629 | + | 0.378746i | −0.978016 | − | 0.208528i | \(-0.933133\pi\) |
0.809388 | + | 0.587275i | \(0.199799\pi\) | |||||||
\(774\) | 4.78889 | − | 13.1171i | 0.172133 | − | 0.471485i | ||||
\(775\) | −11.6075 | − | 2.46724i | −0.416952 | − | 0.0886259i | ||||
\(776\) | 3.21506 | + | 9.89493i | 0.115414 | + | 0.355207i | ||||
\(777\) | 18.2320 | − | 18.0871i | 0.654068 | − | 0.648871i | ||||
\(778\) | −9.18312 | − | 12.6395i | −0.329231 | − | 0.453147i | ||||
\(779\) | 26.1823 | − | 23.5747i | 0.938078 | − | 0.844650i | ||||
\(780\) | −1.82386 | − | 0.737932i | −0.0653045 | − | 0.0264222i | ||||
\(781\) | −15.7591 | + | 29.6515i | −0.563904 | + | 1.06101i | ||||
\(782\) | 0.0508696 | + | 0.0293696i | 0.00181909 | + | 0.00105025i | ||||
\(783\) | −0.871998 | + | 0.0903469i | −0.0311627 | + | 0.00322874i | ||||
\(784\) | 7.56292 | − | 0.211180i | 0.270104 | − | 0.00754214i | ||||
\(785\) | −9.39707 | + | 12.9340i | −0.335396 | + | 0.461633i | ||||
\(786\) | 12.7713 | − | 6.22117i | 0.455536 | − | 0.221902i | ||||
\(787\) | 18.2403 | + | 16.4236i | 0.650195 | + | 0.585438i | 0.926805 | − | 0.375544i | \(-0.122544\pi\) |
−0.276609 | + | 0.960982i | \(0.589211\pi\) | |||||||
\(788\) | 2.26836 | − | 21.5820i | 0.0808069 | − | 0.768826i | ||||
\(789\) | 9.60989 | + | 9.96115i | 0.342121 | + | 0.354626i | ||||
\(790\) | −2.80567 | + | 8.63496i | −0.0998212 | + | 0.307218i | ||||
\(791\) | −8.11824 | − | 8.76699i | −0.288651 | − | 0.311718i | ||||
\(792\) | 9.23125 | + | 28.4888i | 0.328018 | + | 1.01231i | ||||
\(793\) | 4.10145 | − | 7.10392i | 0.145647 | − | 0.252267i | ||||
\(794\) | 5.50813 | − | 1.17079i | 0.195476 | − | 0.0415498i | ||||
\(795\) | −31.8474 | + | 7.92378i | −1.12951 | + | 0.281027i | ||||
\(796\) | −8.80987 | + | 3.92241i | −0.312258 | + | 0.139026i | ||||
\(797\) | 26.4365 | − | 8.58975i | 0.936430 | − | 0.304265i | 0.199241 | − | 0.979951i | \(-0.436152\pi\) |
0.737190 | + | 0.675686i | \(0.236152\pi\) | |||||||
\(798\) | 35.2083 | + | 13.6766i | 1.24636 | + | 0.484145i | ||||
\(799\) | −0.927921 | + | 1.27717i | −0.0328275 | + | 0.0451832i | ||||
\(800\) | 1.13388 | + | 10.7882i | 0.0400888 | + | 0.381420i | ||||
\(801\) | 3.27306 | + | 0.117529i | 0.115648 | + | 0.00415268i | ||||
\(802\) | 9.86844 | − | 5.69755i | 0.348467 | − | 0.201187i | ||||
\(803\) | −30.1938 | + | 23.5988i | −1.06552 | + | 0.832785i | ||||
\(804\) | −3.24277 | + | 2.53096i | −0.114364 | + | 0.0892600i | ||||
\(805\) | 0.666131 | − | 0.944292i | 0.0234780 | − | 0.0332819i | ||||
\(806\) | −2.21832 | − | 3.05326i | −0.0781371 | − | 0.107546i | ||||
\(807\) | 14.2154 | + | 7.56744i | 0.500405 | + | 0.266387i | ||||
\(808\) | −7.80261 | + | 8.66568i | −0.274495 | + | 0.304857i | ||||
\(809\) | −14.6667 | + | 16.2890i | −0.515653 | + | 0.572690i | −0.943589 | − | 0.331118i | \(-0.892574\pi\) |
0.427937 | + | 0.903809i | \(0.359241\pi\) | |||||||
\(810\) | 1.09081 | − | 15.1694i | 0.0383272 | − | 0.532998i | ||||
\(811\) | 2.01069 | + | 2.76748i | 0.0706048 | + | 0.0971792i | 0.842859 | − | 0.538135i | \(-0.180871\pi\) |
−0.772254 | + | 0.635314i | \(0.780871\pi\) | |||||||
\(812\) | −0.252081 | + | 0.357344i | −0.00884630 | + | 0.0125403i | ||||
\(813\) | −1.69069 | − | 2.16619i | −0.0592952 | − | 0.0759715i | ||||
\(814\) | −17.6414 | + | 6.42458i | −0.618331 | + | 0.225181i | ||||
\(815\) | 1.73417 | − | 1.00122i | 0.0607452 | − | 0.0350713i | ||||
\(816\) | 0.268179 | − | 0.319283i | 0.00938813 | − | 0.0111771i | ||||
\(817\) | −3.93044 | − | 37.3956i | −0.137509 | − | 1.30831i | ||||
\(818\) | 12.0715 | − | 16.6149i | 0.422068 | − | 0.580927i | ||||
\(819\) | −5.26794 | + | 1.58479i | −0.184077 | + | 0.0553771i | ||||
\(820\) | −6.73009 | + | 2.18674i | −0.235025 | + | 0.0763642i | ||||
\(821\) | −24.3763 | + | 10.8530i | −0.850739 | + | 0.378773i | −0.785324 | − | 0.619085i | \(-0.787504\pi\) |
−0.0654146 | + | 0.997858i | \(0.520837\pi\) | |||||||
\(822\) | 9.48899 | + | 38.1383i | 0.330966 | + | 1.33023i | ||||
\(823\) | −33.6954 | + | 7.16218i | −1.17455 | + | 0.249658i | −0.753542 | − | 0.657400i | \(-0.771656\pi\) |
−0.421006 | + | 0.907058i | \(0.638323\pi\) | |||||||
\(824\) | −9.30226 | + | 16.1120i | −0.324060 | + | 0.561288i | ||||
\(825\) | 10.4858 | − | 7.06799i | 0.365067 | − | 0.246076i | ||||
\(826\) | −20.6686 | − | 22.3203i | −0.719153 | − | 0.776622i | ||||
\(827\) | −3.60035 | + | 11.0807i | −0.125196 | + | 0.385315i | −0.993937 | − | 0.109953i | \(-0.964930\pi\) |
0.868741 | + | 0.495268i | \(0.164930\pi\) | |||||||
\(828\) | −0.107543 | + | 0.759769i | −0.00373737 | + | 0.0264038i | ||||
\(829\) | −2.24786 | + | 21.3870i | −0.0780715 | + | 0.742800i | 0.883534 | + | 0.468366i | \(0.155157\pi\) |
−0.961606 | + | 0.274434i | \(0.911509\pi\) | |||||||
\(830\) | −5.36420 | − | 4.82995i | −0.186194 | − | 0.167650i | ||||
\(831\) | −4.24827 | − | 8.72115i | −0.147371 | − | 0.302533i | ||||
\(832\) | −2.90843 | + | 4.00312i | −0.100832 | + | 0.138783i | ||||
\(833\) | 0.741566 | − | 1.37147i | 0.0256937 | − | 0.0475185i | ||||
\(834\) | −19.0245 | + | 6.91375i | −0.658766 | + | 0.239403i | ||||
\(835\) | 29.6026 | + | 17.0911i | 1.02444 | + | 0.591461i | ||||
\(836\) | 18.4214 | + | 19.0690i | 0.637118 | + | 0.659515i | ||||
\(837\) | −16.4983 | + | 22.6374i | −0.570263 | + | 0.782464i | ||||
\(838\) | 8.49755 | − | 7.65123i | 0.293543 | − | 0.264307i | ||||
\(839\) | 12.5380 | + | 17.2571i | 0.432860 | + | 0.595781i | 0.968607 | − | 0.248598i | \(-0.0799698\pi\) |
−0.535747 | + | 0.844379i | \(0.679970\pi\) | |||||||
\(840\) | −16.2507 | − | 16.3808i | −0.560702 | − | 0.565193i | ||||
\(841\) | −8.95270 | − | 27.5536i | −0.308714 | − | 0.950123i | ||||
\(842\) | −3.62606 | − | 0.770742i | −0.124962 | − | 0.0265615i | ||||
\(843\) | 23.2380 | + | 37.2295i | 0.800360 | + | 1.28225i | ||||
\(844\) | 4.65056 | − | 10.4453i | 0.160079 | − | 0.359543i | ||||
\(845\) | 15.5648 | − | 14.0146i | 0.535446 | − | 0.482118i | ||||
\(846\) | 20.8352 | + | 5.21662i | 0.716328 | + | 0.179351i | ||||
\(847\) | −2.44570 | − | 29.0003i | −0.0840352 | − | 0.996463i | ||||
\(848\) | 12.2416i | 0.420378i | ||||||||
\(849\) | 6.27700 | − | 35.4963i | 0.215426 | − | 1.21823i | ||||
\(850\) | −0.452433 | − | 0.201436i | −0.0155183 | − | 0.00690921i | ||||
\(851\) | −1.45515 | − | 0.152943i | −0.0498820 | − | 0.00524281i | ||||
\(852\) | 7.52358 | + | 15.4449i | 0.257754 | + | 0.529135i | ||||
\(853\) | −3.24637 | + | 1.05481i | −0.111154 | + | 0.0361160i | −0.364066 | − | 0.931373i | \(-0.618612\pi\) |
0.252912 | + | 0.967489i | \(0.418612\pi\) | |||||||
\(854\) | 25.3272 | − | 18.9470i | 0.866679 | − | 0.648352i | ||||
\(855\) | −15.3038 | − | 37.9861i | −0.523380 | − | 1.29910i | ||||
\(856\) | 37.3823 | + | 41.5173i | 1.27770 | + | 1.41903i | ||||
\(857\) | 11.1625 | + | 19.3340i | 0.381303 | + | 0.660436i | 0.991249 | − | 0.132007i | \(-0.0421421\pi\) |
−0.609946 | + | 0.792443i | \(0.708809\pi\) | |||||||
\(858\) | 3.98237 | + | 0.560950i | 0.135956 | + | 0.0191505i | ||||
\(859\) | −7.88941 | + | 13.6649i | −0.269183 | + | 0.466239i | −0.968651 | − | 0.248425i | \(-0.920087\pi\) |
0.699468 | + | 0.714664i | \(0.253420\pi\) | |||||||
\(860\) | −2.33383 | + | 7.18279i | −0.0795830 | + | 0.244931i | ||||
\(861\) | −10.8423 | + | 16.5508i | −0.369505 | + | 0.564051i | ||||
\(862\) | 12.0716 | + | 8.77053i | 0.411160 | + | 0.298725i | ||||
\(863\) | −3.22852 | + | 15.1890i | −0.109900 | + | 0.517039i | 0.888417 | + | 0.459038i | \(0.151806\pi\) |
−0.998317 | + | 0.0580005i | \(0.981527\pi\) | |||||||
\(864\) | 24.3408 | + | 7.94863i | 0.828091 | + | 0.270418i | ||||
\(865\) | −23.3240 | − | 2.45145i | −0.793039 | − | 0.0833517i | ||||
\(866\) | 1.73889 | + | 16.5444i | 0.0590898 | + | 0.562202i | ||||
\(867\) | 10.0277 | + | 27.5933i | 0.340560 | + | 0.937118i | ||||
\(868\) | 3.09565 | + | 13.6258i | 0.105073 | + | 0.462491i | ||||
\(869\) | −1.23982 | + | 17.7767i | −0.0420581 | + | 0.603033i | ||||
\(870\) | −0.489036 | + | 0.0684837i | −0.0165799 | + | 0.00232182i | ||||
\(871\) | 0.349327 | + | 1.64346i | 0.0118365 | + | 0.0556864i | ||||
\(872\) | −8.88490 | + | 19.9558i | −0.300881 | + | 0.675789i | ||||
\(873\) | −1.79071 | − | 10.2145i | −0.0606063 | − | 0.345708i | ||||
\(874\) | −0.664991 | − | 2.04663i | −0.0224937 | − | 0.0692284i | ||||
\(875\) | −15.5502 | + | 27.8236i | −0.525694 | + | 0.940608i | ||||
\(876\) | 0.674596 | + | 19.5949i | 0.0227925 | + | 0.662049i | ||||
\(877\) | 29.3979 | − | 3.08984i | 0.992696 | − | 0.104337i | 0.405768 | − | 0.913976i | \(-0.367004\pi\) |
0.586928 | + | 0.809639i | \(0.300337\pi\) | |||||||
\(878\) | 0.0796441 | + | 0.374696i | 0.00268786 | + | 0.0126454i | ||||
\(879\) | 19.7947 | + | 8.00894i | 0.667659 | + | 0.270135i | ||||
\(880\) | 2.05213 | + | 5.63499i | 0.0691772 | + | 0.189956i | ||||
\(881\) | − | 42.4150i | − | 1.42900i | −0.699637 | − | 0.714498i | \(-0.746655\pi\) | ||
0.699637 | − | 0.714498i | \(-0.253345\pi\) | |||||||
\(882\) | −21.0777 | − | 2.38549i | −0.709721 | − | 0.0803235i | ||||
\(883\) | −9.50181 | + | 6.90347i | −0.319761 | + | 0.232320i | −0.736074 | − | 0.676901i | \(-0.763322\pi\) |
0.416312 | + | 0.909222i | \(0.363322\pi\) | |||||||
\(884\) | 0.0615127 | + | 0.138160i | 0.00206890 | + | 0.00464682i | ||||
\(885\) | −2.31697 | + | 32.9012i | −0.0778842 | + | 1.10596i | ||||
\(886\) | −30.2412 | − | 27.2293i | −1.01597 | − | 0.914786i | ||||
\(887\) | −26.0150 | + | 11.5826i | −0.873498 | + | 0.388907i | −0.793992 | − | 0.607928i | \(-0.792001\pi\) |
−0.0795061 | + | 0.996834i | \(0.525334\pi\) | |||||||
\(888\) | −8.06669 | + | 28.0796i | −0.270700 | + | 0.942291i | ||||
\(889\) | 24.9474 | − | 11.5272i | 0.836708 | − | 0.386608i | ||||
\(890\) | 1.84483 | 0.0618390 | ||||||||
\(891\) | −5.13069 | − | 29.4054i | −0.171885 | − | 0.985117i | ||||
\(892\) | −8.29381 | − | 14.3653i | −0.277697 | − | 0.480986i | ||||
\(893\) | 56.5721 | − | 12.0248i | 1.89311 | − | 0.402394i | ||||
\(894\) | 14.1980 | + | 14.7169i | 0.474851 | + | 0.492208i | ||||
\(895\) | −17.1107 | − | 12.4317i | −0.571949 | − | 0.415545i | ||||
\(896\) | 6.00924 | − | 3.58219i | 0.200755 | − | 0.119673i | ||||
\(897\) | 0.259750 | + | 0.175390i | 0.00867280 | + | 0.00585610i | ||||
\(898\) | −9.92452 | − | 22.2908i | −0.331185 | − | 0.743855i | ||||
\(899\) | 0.830878 | + | 0.369931i | 0.0277113 | + | 0.0123379i | ||||
\(900\) | 0.232166 | − | 6.46556i | 0.00773885 | − | 0.215519i | ||||
\(901\) | 2.18468 | + | 1.26133i | 0.0727823 | + | 0.0420209i | ||||
\(902\) | 12.2654 | − | 7.66739i | 0.408394 | − | 0.255296i | ||||
\(903\) | 7.48893 | + | 19.7444i | 0.249216 | + | 0.657051i | ||||
\(904\) | 12.9273 | + | 4.20033i | 0.429955 | + | 0.139701i | ||||
\(905\) | −34.7828 | + | 3.65582i | −1.15622 | + | 0.121524i | ||||
\(906\) | 9.92082 | − | 6.19242i | 0.329597 | − | 0.205729i | ||||
\(907\) | −28.9657 | + | 32.1697i | −0.961790 | + | 1.06818i | 0.0358390 | + | 0.999358i | \(0.488590\pi\) |
−0.997629 | + | 0.0688186i | \(0.978077\pi\) | |||||||
\(908\) | −7.56442 | − | 1.60787i | −0.251034 | − | 0.0533589i | ||||
\(909\) | 8.91099 | − | 7.46225i | 0.295559 | − | 0.247507i | ||||
\(910\) | −2.93338 | + | 0.998589i | −0.0972407 | + | 0.0331029i | ||||
\(911\) | −39.8311 | − | 12.9419i | −1.31966 | − | 0.428785i | −0.437284 | − | 0.899323i | \(-0.644060\pi\) |
−0.882379 | + | 0.470539i | \(0.844060\pi\) | |||||||
\(912\) | −15.1283 | + | 2.11854i | −0.500948 | + | 0.0701519i | ||||
\(913\) | −12.5101 | − | 6.64880i | −0.414023 | − | 0.220043i | ||||
\(914\) | −29.2129 | + | 16.8661i | −0.966276 | + | 0.557880i | ||||
\(915\) | −33.7704 | − | 5.97180i | −1.11641 | − | 0.197422i | ||||
\(916\) | −19.7041 | + | 14.3159i | −0.651042 | + | 0.473010i | ||||
\(917\) | −8.46307 | + | 19.7456i | −0.279475 | + | 0.652056i | ||||
\(918\) | −0.869921 | + | 0.780954i | −0.0287117 | + | 0.0257753i | ||||
\(919\) | −7.51162 | + | 35.3394i | −0.247785 | + | 1.16574i | 0.661624 | + | 0.749836i | \(0.269868\pi\) |
−0.909409 | + | 0.415903i | \(0.863466\pi\) | |||||||
\(920\) | −0.137414 | + | 1.30741i | −0.00453041 | + | 0.0431040i | ||||
\(921\) | 0.258131 | + | 1.03749i | 0.00850572 | + | 0.0341864i | ||||
\(922\) | −11.5475 | − | 12.8248i | −0.380296 | − | 0.422362i | ||||
\(923\) | 7.01711 | 0.230971 | ||||||||
\(924\) | −12.7339 | − | 7.71742i | −0.418914 | − | 0.253885i | ||||
\(925\) | 12.3365 | 0.405621 | ||||||||
\(926\) | 16.3294 | + | 18.1356i | 0.536617 | + | 0.595974i | ||||
\(927\) | 11.4312 | − | 14.6016i | 0.375450 | − | 0.479579i | ||||
\(928\) | 0.0869046 | − | 0.826842i | 0.00285278 | − | 0.0271424i | ||||
\(929\) | −8.43968 | + | 39.7056i | −0.276897 | + | 1.30270i | 0.591289 | + | 0.806460i | \(0.298619\pi\) |
−0.868186 | + | 0.496238i | \(0.834714\pi\) | |||||||
\(930\) | −8.82958 | + | 13.0765i | −0.289533 | + | 0.428795i | ||||
\(931\) | −53.8100 | + | 19.1603i | −1.76355 | + | 0.627953i | ||||
\(932\) | −7.86797 | + | 5.71642i | −0.257724 | + | 0.187247i | ||||
\(933\) | 6.75911 | − | 38.2226i | 0.221283 | − | 1.25135i | ||||
\(934\) | 14.2356 | − | 8.21891i | 0.465802 | − | 0.268931i | ||||
\(935\) | 1.21708 | + | 0.214377i | 0.0398029 | + | 0.00701087i | ||||
\(936\) | 4.35168 | − | 4.49742i | 0.142239 | − | 0.147003i | ||||
\(937\) | −3.07412 | − | 0.998842i | −0.100427 | − | 0.0326307i | 0.258372 | − | 0.966045i | \(-0.416814\pi\) |
−0.358800 | + | 0.933415i | \(0.616814\pi\) | |||||||
\(938\) | −1.25841 | + | 6.35527i | −0.0410885 | + | 0.207507i | ||||
\(939\) | 26.0976 | − | 0.898468i | 0.851664 | − | 0.0293204i | ||||
\(940\) | −11.3627 | − | 2.41522i | −0.370612 | − | 0.0787759i | ||||
\(941\) | −33.6807 | + | 37.4062i | −1.09796 | + | 1.21941i | −0.124098 | + | 0.992270i | \(0.539604\pi\) |
−0.973862 | + | 0.227138i | \(0.927063\pi\) | |||||||
\(942\) | −8.85297 | − | 14.1833i | −0.288445 | − | 0.462116i | ||||
\(943\) | 1.12110 | − | 0.117832i | 0.0365080 | − | 0.00383714i | ||||
\(944\) | 11.7007 | + | 3.80180i | 0.380827 | + | 0.123738i | ||||
\(945\) | 13.7496 | + | 18.4365i | 0.447275 | + | 0.599739i | ||||
\(946\) | 1.07408 | − | 15.4003i | 0.0349215 | − | 0.500708i | ||||
\(947\) | 47.4819 | + | 27.4137i | 1.54295 | + | 0.890825i | 0.998650 | + | 0.0519374i | \(0.0165396\pi\) |
0.544304 | + | 0.838888i | \(0.316794\pi\) | |||||||
\(948\) | 6.98121 | + | 5.86380i | 0.226739 | + | 0.190447i | ||||
\(949\) | 7.31587 | + | 3.25723i | 0.237483 | + | 0.105734i | ||||
\(950\) | 7.37978 | + | 16.5753i | 0.239432 | + | 0.537773i | ||||
\(951\) | −20.7106 | + | 30.6720i | −0.671586 | + | 0.994609i | ||||
\(952\) | 0.0247555 | + | 1.77347i | 0.000802331 | + | 0.0574785i | ||||
\(953\) | 13.7411 | + | 9.98346i | 0.445116 | + | 0.323396i | 0.787665 | − | 0.616104i | \(-0.211290\pi\) |
−0.342548 | + | 0.939500i | \(0.611290\pi\) | |||||||
\(954\) | 4.81013 | − | 33.9827i | 0.155734 | − | 1.10023i | ||||
\(955\) | 2.48777 | − | 0.528791i | 0.0805023 | − | 0.0171113i | ||||
\(956\) | −12.8485 | − | 22.2543i | −0.415550 | − | 0.719754i | ||||
\(957\) | −0.898731 | + | 0.362785i | −0.0290518 | + | 0.0117272i | ||||
\(958\) | 7.14066 | 0.230704 | ||||||||
\(959\) | −48.5650 | − | 34.2592i | −1.56825 | − | 1.10629i | ||||
\(960\) | 19.8827 | + | 5.71189i | 0.641712 | + | 0.184350i | ||||
\(961\) | −1.77140 | + | 0.788678i | −0.0571419 | + | 0.0254412i | ||||
\(962\) | 2.91567 | + | 2.62528i | 0.0940048 | + | 0.0846423i | ||||
\(963\) | −31.0932 | − | 46.1957i | −1.00196 | − | 1.48864i | ||||
\(964\) | −0.0352355 | − | 0.0791403i | −0.00113486 | − | 0.00254894i | ||||
\(965\) | 3.14633 | − | 2.28594i | 0.101284 | − | 0.0735871i | ||||
\(966\) | 0.654164 | + | 1.01617i | 0.0210474 | + | 0.0326949i | ||||
\(967\) | − | 30.0795i | − | 0.967292i | −0.875264 | − | 0.483646i | \(-0.839312\pi\) | ||
0.875264 | − | 0.483646i | \(-0.160688\pi\) | |||||||
\(968\) | 18.5236 | + | 27.4409i | 0.595371 | + | 0.881983i | ||||
\(969\) | −1.18068 | + | 2.91814i | −0.0379289 | + | 0.0937442i | ||||
\(970\) | −1.21449 | − | 5.71372i | −0.0389949 | − | 0.183456i | ||||
\(971\) | 53.7557 | − | 5.64996i | 1.72510 | − | 0.181316i | 0.810520 | − | 0.585712i | \(-0.199185\pi\) |
0.914584 | + | 0.404396i | \(0.132518\pi\) | |||||||
\(972\) | −13.7097 | − | 6.72854i | −0.439738 | − | 0.215818i | ||||
\(973\) | 14.9338 | − | 26.7206i | 0.478756 | − | 0.856624i | ||||
\(974\) | −2.01357 | − | 6.19712i | −0.0645188 | − | 0.198568i | ||||
\(975\) | −2.33262 | − | 1.24175i | −0.0747035 | − | 0.0397678i | ||||
\(976\) | −5.20304 | + | 11.6862i | −0.166545 | + | 0.374067i | ||||
\(977\) | 8.88573 | + | 41.8041i | 0.284280 | + | 1.33743i | 0.855997 | + | 0.516980i | \(0.172944\pi\) |
−0.571718 | + | 0.820450i | \(0.693723\pi\) | |||||||
\(978\) | 0.290427 | + | 2.07392i | 0.00928685 | + | 0.0663166i | ||||
\(979\) | 3.51312 | − | 0.876596i | 0.112280 | − | 0.0280161i | ||||
\(980\) | 11.4388 | + | 0.880280i | 0.365400 | + | 0.0281195i | ||||
\(981\) | 11.5563 | − | 18.4534i | 0.368963 | − | 0.589171i | ||||
\(982\) | 0.359534 | + | 3.42073i | 0.0114732 | + | 0.109160i | ||||
\(983\) | −7.41144 | − | 0.778974i | −0.236388 | − | 0.0248454i | −0.0144064 | − | 0.999896i | \(-0.504586\pi\) |
−0.221982 | + | 0.975051i | \(0.571253\pi\) | |||||||
\(984\) | 1.58118 | − | 22.4529i | 0.0504063 | − | 0.715772i | ||||
\(985\) | −7.70455 | + | 36.2471i | −0.245487 | + | 1.15493i | ||||
\(986\) | 0.0307084 | + | 0.0223109i | 0.000977954 | + | 0.000710525i | ||||
\(987\) | −28.9989 | + | 14.6303i | −0.923044 | + | 0.465687i | ||||
\(988\) | 1.71214 | − | 5.26943i | 0.0544705 | − | 0.167643i | ||||
\(989\) | 0.601550 | − | 1.04191i | 0.0191282 | − | 0.0331309i | ||||
\(990\) | −3.48253 | − | 16.4491i | −0.110682 | − | 0.522786i | ||||
\(991\) | 6.71506 | + | 11.6308i | 0.213311 | + | 0.369465i | 0.952749 | − | 0.303759i | \(-0.0982419\pi\) |
−0.739438 | + | 0.673225i | \(0.764909\pi\) | |||||||
\(992\) | −17.7755 | − | 19.7417i | −0.564373 | − | 0.626800i | ||||
\(993\) | −13.6092 | + | 47.3727i | −0.431875 | + | 1.50333i | ||||
\(994\) | 24.8696 | + | 10.6592i | 0.788814 | + | 0.338091i | ||||
\(995\) | 15.6616 | − | 5.08877i | 0.496507 | − | 0.161325i | ||||
\(996\) | −6.51627 | + | 3.17422i | −0.206476 | + | 0.100579i | ||||
\(997\) | −53.2485 | − | 5.59665i | −1.68640 | − | 0.177248i | −0.787773 | − | 0.615965i | \(-0.788766\pi\) |
−0.898625 | + | 0.438718i | \(0.855433\pi\) | |||||||
\(998\) | 24.4245 | + | 10.8745i | 0.773144 | + | 0.344226i | ||||
\(999\) | 11.8836 | − | 26.5851i | 0.375981 | − | 0.841116i |
(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 | 231.2.be.a.2.10 | ✓ | 224 | |
3.2 | odd | 2 | inner | 231.2.be.a.2.19 | yes | 224 | |
7.4 | even | 3 | inner | 231.2.be.a.200.19 | yes | 224 | |
11.6 | odd | 10 | inner | 231.2.be.a.149.10 | yes | 224 | |
21.11 | odd | 6 | inner | 231.2.be.a.200.10 | yes | 224 | |
33.17 | even | 10 | inner | 231.2.be.a.149.19 | yes | 224 | |
77.39 | odd | 30 | inner | 231.2.be.a.116.19 | yes | 224 | |
231.116 | even | 30 | inner | 231.2.be.a.116.10 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.be.a.2.10 | ✓ | 224 | 1.1 | even | 1 | trivial | |
231.2.be.a.2.19 | yes | 224 | 3.2 | odd | 2 | inner | |
231.2.be.a.116.10 | yes | 224 | 231.116 | even | 30 | inner | |
231.2.be.a.116.19 | yes | 224 | 77.39 | odd | 30 | inner | |
231.2.be.a.149.10 | yes | 224 | 11.6 | odd | 10 | inner | |
231.2.be.a.149.19 | yes | 224 | 33.17 | even | 10 | inner | |
231.2.be.a.200.10 | yes | 224 | 21.11 | odd | 6 | inner | |
231.2.be.a.200.19 | yes | 224 | 7.4 | even | 3 | inner |