Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 331.7 | ||
Character | \(\chi\) | \(=\) | 483.331 |
Dual form | 483.2.y.b.340.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0723730 | + | 0.298326i | −0.0511754 | + | 0.210948i | −0.991659 | − | 0.128892i | \(-0.958858\pi\) |
0.940483 | + | 0.339840i | \(0.110373\pi\) | |||||||
\(3\) | −0.327068 | + | 0.945001i | −0.188833 | + | 0.545596i | ||||
\(4\) | 1.69391 | + | 0.873272i | 0.846955 | + | 0.436636i | ||||
\(5\) | −2.45688 | − | 0.983585i | −1.09875 | − | 0.439873i | −0.249773 | − | 0.968304i | \(-0.580356\pi\) |
−0.848976 | + | 0.528432i | \(0.822780\pi\) | |||||||
\(6\) | −0.258247 | − | 0.165965i | −0.105429 | − | 0.0677550i | ||||
\(7\) | 2.62235 | − | 0.351096i | 0.991156 | − | 0.132702i | ||||
\(8\) | −0.785169 | + | 0.906134i | −0.277599 | + | 0.320367i | ||||
\(9\) | −0.786053 | − | 0.618159i | −0.262018 | − | 0.206053i | ||||
\(10\) | 0.471240 | − | 0.661764i | 0.149019 | − | 0.209268i | ||||
\(11\) | 0.477956 | + | 1.97016i | 0.144109 | + | 0.594026i | 0.997366 | + | 0.0725348i | \(0.0231088\pi\) |
−0.853257 | + | 0.521491i | \(0.825376\pi\) | |||||||
\(12\) | −1.37927 | + | 1.31513i | −0.398160 | + | 0.379645i | ||||
\(13\) | 1.94718 | + | 4.26374i | 0.540052 | + | 1.18255i | 0.961275 | + | 0.275592i | \(0.0888737\pi\) |
−0.421223 | + | 0.906957i | \(0.638399\pi\) | |||||||
\(14\) | −0.0850467 | + | 0.807725i | −0.0227297 | + | 0.215873i | ||||
\(15\) | 1.73305 | − | 2.00005i | 0.447473 | − | 0.516411i | ||||
\(16\) | 1.99741 | + | 2.80496i | 0.499351 | + | 0.701241i | ||||
\(17\) | 0.115949 | − | 2.43407i | 0.0281218 | − | 0.590349i | −0.940197 | − | 0.340631i | \(-0.889359\pi\) |
0.968319 | − | 0.249717i | \(-0.0803377\pi\) | |||||||
\(18\) | 0.241302 | − | 0.189762i | 0.0568753 | − | 0.0447273i | ||||
\(19\) | 0.130356 | + | 2.73652i | 0.0299058 | + | 0.627800i | 0.963216 | + | 0.268729i | \(0.0866036\pi\) |
−0.933310 | + | 0.359072i | \(0.883093\pi\) | |||||||
\(20\) | −3.30279 | − | 3.81163i | −0.738527 | − | 0.852305i | ||||
\(21\) | −0.525902 | + | 2.59296i | −0.114761 | + | 0.565830i | ||||
\(22\) | −0.622340 | −0.132683 | ||||||||
\(23\) | −0.778571 | + | 4.73221i | −0.162343 | + | 0.986734i | ||||
\(24\) | −0.599493 | − | 1.03835i | −0.122371 | − | 0.211953i | ||||
\(25\) | 1.45013 | + | 1.38270i | 0.290027 | + | 0.276540i | ||||
\(26\) | −1.41291 | + | 0.272315i | −0.277094 | + | 0.0534054i | ||||
\(27\) | 0.841254 | − | 0.540641i | 0.161899 | − | 0.104046i | ||||
\(28\) | 4.74863 | + | 1.69530i | 0.897407 | + | 0.320382i | ||||
\(29\) | 6.42397 | + | 4.12844i | 1.19290 | + | 0.766632i | 0.977714 | − | 0.209941i | \(-0.0673272\pi\) |
0.215188 | + | 0.976573i | \(0.430964\pi\) | |||||||
\(30\) | 0.471240 | + | 0.661764i | 0.0860363 | + | 0.120821i | ||||
\(31\) | −5.74055 | − | 1.10640i | −1.03103 | − | 0.198715i | −0.354445 | − | 0.935077i | \(-0.615330\pi\) |
−0.676588 | + | 0.736362i | \(0.736542\pi\) | |||||||
\(32\) | −3.20755 | + | 1.28411i | −0.567021 | + | 0.227001i | ||||
\(33\) | −2.01813 | − | 0.192708i | −0.351311 | − | 0.0335461i | ||||
\(34\) | 0.717754 | + | 0.210751i | 0.123094 | + | 0.0361436i | ||||
\(35\) | −6.78813 | − | 1.71671i | −1.14740 | − | 0.290177i | ||||
\(36\) | −0.791683 | − | 1.73354i | −0.131947 | − | 0.288924i | ||||
\(37\) | −6.70470 | − | 5.27263i | −1.10225 | − | 0.866815i | −0.110352 | − | 0.993893i | \(-0.535198\pi\) |
−0.991893 | + | 0.127077i | \(0.959440\pi\) | |||||||
\(38\) | −0.825808 | − | 0.159161i | −0.133964 | − | 0.0258194i | ||||
\(39\) | −4.66610 | + | 0.445558i | −0.747174 | + | 0.0713465i | ||||
\(40\) | 2.82032 | − | 1.45398i | 0.445932 | − | 0.229894i | ||||
\(41\) | −0.609770 | − | 4.24104i | −0.0952301 | − | 0.662340i | −0.980392 | − | 0.197057i | \(-0.936862\pi\) |
0.885162 | − | 0.465283i | \(-0.154047\pi\) | |||||||
\(42\) | −0.735484 | − | 0.344550i | −0.113488 | − | 0.0531652i | ||||
\(43\) | 2.70855 | + | 3.12583i | 0.413050 | + | 0.476685i | 0.923707 | − | 0.383099i | \(-0.125143\pi\) |
−0.510657 | + | 0.859784i | \(0.670598\pi\) | |||||||
\(44\) | −0.910871 | + | 3.75466i | −0.137319 | + | 0.566037i | ||||
\(45\) | 1.32322 | + | 2.29189i | 0.197255 | + | 0.341655i | ||||
\(46\) | −1.35539 | − | 0.574752i | −0.199842 | − | 0.0847426i | ||||
\(47\) | −3.20703 | + | 5.55474i | −0.467793 | + | 0.810242i | −0.999323 | − | 0.0367982i | \(-0.988284\pi\) |
0.531530 | + | 0.847040i | \(0.321617\pi\) | |||||||
\(48\) | −3.30398 | + | 0.970136i | −0.476888 | + | 0.140027i | ||||
\(49\) | 6.75346 | − | 1.84139i | 0.964780 | − | 0.263056i | ||||
\(50\) | −0.517445 | + | 0.332542i | −0.0731778 | + | 0.0470285i | ||||
\(51\) | 2.26227 | + | 0.905678i | 0.316782 | + | 0.126820i | ||||
\(52\) | −0.425046 | + | 8.92282i | −0.0589433 | + | 1.23737i | ||||
\(53\) | 13.3768 | − | 1.27733i | 1.83744 | − | 0.175455i | 0.882121 | − | 0.471022i | \(-0.156115\pi\) |
0.955322 | + | 0.295568i | \(0.0955089\pi\) | |||||||
\(54\) | 0.100403 | + | 0.290095i | 0.0136631 | + | 0.0394770i | ||||
\(55\) | 0.763542 | − | 5.31055i | 0.102956 | − | 0.716075i | ||||
\(56\) | −1.74085 | + | 2.65187i | −0.232631 | + | 0.354371i | ||||
\(57\) | −2.62865 | − | 0.771841i | −0.348173 | − | 0.102233i | ||||
\(58\) | −1.69654 | + | 1.61765i | −0.222767 | + | 0.212408i | ||||
\(59\) | −0.152616 | + | 0.214319i | −0.0198689 | + | 0.0279020i | −0.824391 | − | 0.566021i | \(-0.808482\pi\) |
0.804522 | + | 0.593923i | \(0.202422\pi\) | |||||||
\(60\) | 4.68223 | − | 1.87448i | 0.604473 | − | 0.241994i | ||||
\(61\) | −4.13750 | − | 11.9545i | −0.529753 | − | 1.53062i | −0.819247 | − | 0.573441i | \(-0.805608\pi\) |
0.289494 | − | 0.957180i | \(-0.406513\pi\) | |||||||
\(62\) | 0.745528 | − | 1.63248i | 0.0946822 | − | 0.207325i | ||||
\(63\) | −2.27834 | − | 1.34505i | −0.287044 | − | 0.169460i | ||||
\(64\) | 0.829169 | + | 5.76700i | 0.103646 | + | 0.720875i | ||||
\(65\) | −0.590242 | − | 12.3907i | −0.0732105 | − | 1.53688i | ||||
\(66\) | 0.203548 | − | 0.588112i | 0.0250550 | − | 0.0723916i | ||||
\(67\) | 4.56350 | + | 4.35129i | 0.557520 | + | 0.531594i | 0.915597 | − | 0.402098i | \(-0.131719\pi\) |
−0.358077 | + | 0.933692i | \(0.616567\pi\) | |||||||
\(68\) | 2.32201 | − | 4.02184i | 0.281585 | − | 0.487720i | ||||
\(69\) | −4.21730 | − | 2.28351i | −0.507703 | − | 0.274902i | ||||
\(70\) | 1.00341 | − | 1.90083i | 0.119931 | − | 0.227193i | ||||
\(71\) | 8.92155 | − | 2.61960i | 1.05879 | − | 0.310890i | 0.294428 | − | 0.955674i | \(-0.404871\pi\) |
0.764365 | + | 0.644784i | \(0.223053\pi\) | |||||||
\(72\) | 1.17732 | − | 0.226910i | 0.138748 | − | 0.0267416i | ||||
\(73\) | −6.83329 | − | 3.52281i | −0.799776 | − | 0.412313i | 0.00934393 | − | 0.999956i | \(-0.497026\pi\) |
−0.809120 | + | 0.587643i | \(0.800056\pi\) | |||||||
\(74\) | 2.05820 | − | 1.61859i | 0.239261 | − | 0.188157i | ||||
\(75\) | −1.78094 | + | 0.918140i | −0.205646 | + | 0.106018i | ||||
\(76\) | −2.16891 | + | 4.74925i | −0.248791 | + | 0.544777i | ||||
\(77\) | 1.94508 | + | 4.99865i | 0.221663 | + | 0.569649i | ||||
\(78\) | 0.204778 | − | 1.42426i | 0.0231866 | − | 0.161266i | ||||
\(79\) | 6.29604 | + | 0.601199i | 0.708360 | + | 0.0676402i | 0.443016 | − | 0.896514i | \(-0.353908\pi\) |
0.265344 | + | 0.964154i | \(0.414514\pi\) | |||||||
\(80\) | −2.14846 | − | 8.85607i | −0.240205 | − | 0.990138i | ||||
\(81\) | 0.235759 | + | 0.971812i | 0.0261954 | + | 0.107979i | ||||
\(82\) | 1.30934 | + | 0.125027i | 0.144593 | + | 0.0138069i | ||||
\(83\) | 0.656144 | − | 4.56358i | 0.0720212 | − | 0.500918i | −0.921599 | − | 0.388143i | \(-0.873117\pi\) |
0.993620 | − | 0.112776i | \(-0.0359741\pi\) | |||||||
\(84\) | −3.15519 | + | 3.93298i | −0.344259 | + | 0.429124i | ||||
\(85\) | −2.67899 | + | 5.86616i | −0.290577 | + | 0.636275i | ||||
\(86\) | −1.12854 | + | 0.581803i | −0.121694 | + | 0.0627375i | ||||
\(87\) | −6.00245 | + | 4.72038i | −0.643531 | + | 0.506078i | ||||
\(88\) | −2.16051 | − | 1.11382i | −0.230311 | − | 0.118733i | ||||
\(89\) | 5.28148 | − | 1.01792i | 0.559836 | − | 0.107900i | 0.0985193 | − | 0.995135i | \(-0.468589\pi\) |
0.461317 | + | 0.887236i | \(0.347377\pi\) | |||||||
\(90\) | −0.779495 | + | 0.228880i | −0.0821660 | + | 0.0241261i | ||||
\(91\) | 6.60319 | + | 10.4974i | 0.692202 | + | 1.10042i | ||||
\(92\) | −5.45134 | + | 7.33604i | −0.568341 | + | 0.764835i | ||||
\(93\) | 2.92310 | − | 5.06295i | 0.303111 | − | 0.525004i | ||||
\(94\) | −1.42502 | − | 1.35875i | −0.146979 | − | 0.140145i | ||||
\(95\) | 2.37133 | − | 6.85151i | 0.243293 | − | 0.702950i | ||||
\(96\) | −0.164398 | − | 3.45113i | −0.0167788 | − | 0.352230i | ||||
\(97\) | −0.122213 | − | 0.850010i | −0.0124088 | − | 0.0863054i | 0.982676 | − | 0.185332i | \(-0.0593361\pi\) |
−0.995085 | + | 0.0990268i | \(0.968427\pi\) | |||||||
\(98\) | 0.0605664 | + | 2.14800i | 0.00611813 | + | 0.216981i | ||||
\(99\) | 0.842174 | − | 1.84410i | 0.0846417 | − | 0.185339i | ||||
\(100\) | 1.24892 | + | 3.60853i | 0.124892 | + | 0.360853i | ||||
\(101\) | −3.22085 | + | 1.28943i | −0.320486 | + | 0.128303i | −0.526327 | − | 0.850282i | \(-0.676431\pi\) |
0.205841 | + | 0.978585i | \(0.434007\pi\) | |||||||
\(102\) | −0.433914 | + | 0.609348i | −0.0429639 | + | 0.0603344i | ||||
\(103\) | 11.0821 | − | 10.5668i | 1.09195 | − | 1.04118i | 0.0929903 | − | 0.995667i | \(-0.470357\pi\) |
0.998964 | − | 0.0455092i | \(-0.0144910\pi\) | |||||||
\(104\) | −5.39239 | − | 1.58335i | −0.528767 | − | 0.155260i | ||||
\(105\) | 3.84247 | − | 5.85331i | 0.374987 | − | 0.571224i | ||||
\(106\) | −0.587059 | + | 4.08308i | −0.0570202 | + | 0.396584i | ||||
\(107\) | −5.85031 | − | 16.9034i | −0.565571 | − | 1.63411i | −0.757598 | − | 0.652721i | \(-0.773627\pi\) |
0.192027 | − | 0.981390i | \(-0.438494\pi\) | |||||||
\(108\) | 1.89713 | − | 0.181154i | 0.182552 | − | 0.0174316i | ||||
\(109\) | 0.480883 | − | 10.0950i | 0.0460603 | − | 0.966924i | −0.851041 | − | 0.525099i | \(-0.824028\pi\) |
0.897101 | − | 0.441825i | \(-0.145669\pi\) | |||||||
\(110\) | 1.52901 | + | 0.612125i | 0.145786 | + | 0.0583638i | ||||
\(111\) | 7.17553 | − | 4.61143i | 0.681071 | − | 0.437698i | ||||
\(112\) | 6.22271 | + | 6.65432i | 0.587991 | + | 0.628774i | ||||
\(113\) | −14.5398 | + | 4.26927i | −1.36779 | + | 0.401619i | −0.881502 | − | 0.472181i | \(-0.843467\pi\) |
−0.486286 | + | 0.873799i | \(0.661649\pi\) | |||||||
\(114\) | 0.420503 | − | 0.728332i | 0.0393837 | − | 0.0682146i | ||||
\(115\) | 6.56739 | − | 10.8607i | 0.612412 | − | 1.01276i | ||||
\(116\) | 7.27639 | + | 12.6031i | 0.675596 | + | 1.17017i | ||||
\(117\) | 1.10508 | − | 4.55520i | 0.102165 | − | 0.421128i | ||||
\(118\) | −0.0528917 | − | 0.0610403i | −0.00486907 | − | 0.00561921i | ||||
\(119\) | −0.550532 | − | 6.42370i | −0.0504672 | − | 0.588859i | ||||
\(120\) | 0.451573 | + | 3.14076i | 0.0412228 | + | 0.286711i | ||||
\(121\) | 6.12410 | − | 3.15719i | 0.556736 | − | 0.287017i | ||||
\(122\) | 3.86579 | − | 0.369138i | 0.349992 | − | 0.0334202i | ||||
\(123\) | 4.20723 | + | 0.810877i | 0.379353 | + | 0.0731143i | ||||
\(124\) | −8.75779 | − | 6.88720i | −0.786473 | − | 0.618489i | ||||
\(125\) | 3.29407 | + | 7.21301i | 0.294631 | + | 0.645152i | ||||
\(126\) | 0.566153 | − | 0.582342i | 0.0504370 | − | 0.0518792i | ||||
\(127\) | −19.7270 | − | 5.79238i | −1.75049 | − | 0.513991i | −0.759804 | − | 0.650152i | \(-0.774705\pi\) |
−0.990687 | + | 0.136161i | \(0.956524\pi\) | |||||||
\(128\) | −8.65925 | − | 0.826858i | −0.765377 | − | 0.0730846i | ||||
\(129\) | −3.83979 | + | 1.53722i | −0.338075 | + | 0.135345i | ||||
\(130\) | 3.73918 | + | 0.720668i | 0.327948 | + | 0.0632068i | ||||
\(131\) | −2.57099 | − | 3.61044i | −0.224628 | − | 0.315446i | 0.686846 | − | 0.726803i | \(-0.258994\pi\) |
−0.911474 | + | 0.411357i | \(0.865055\pi\) | |||||||
\(132\) | −3.25024 | − | 2.08880i | −0.282897 | − | 0.181807i | ||||
\(133\) | 1.30262 | + | 7.13035i | 0.112952 | + | 0.618280i | ||||
\(134\) | −1.62837 | + | 1.04649i | −0.140670 | + | 0.0904032i | ||||
\(135\) | −2.59862 | + | 0.500843i | −0.223654 | + | 0.0431057i | ||||
\(136\) | 2.11455 | + | 2.01622i | 0.181321 | + | 0.172890i | ||||
\(137\) | −5.30754 | − | 9.19292i | −0.453453 | − | 0.785404i | 0.545144 | − | 0.838342i | \(-0.316475\pi\) |
−0.998598 | + | 0.0529378i | \(0.983141\pi\) | |||||||
\(138\) | 0.986446 | − | 1.09286i | 0.0839719 | − | 0.0930307i | ||||
\(139\) | 19.8274 | 1.68174 | 0.840868 | − | 0.541240i | \(-0.182045\pi\) | ||||
0.840868 | + | 0.541240i | \(0.182045\pi\) | |||||||
\(140\) | −9.99933 | − | 8.83583i | −0.845098 | − | 0.746764i | ||||
\(141\) | −4.20031 | − | 4.84742i | −0.353730 | − | 0.408227i | ||||
\(142\) | 0.135815 | + | 2.85112i | 0.0113974 | + | 0.239260i | ||||
\(143\) | −7.46958 | + | 5.87415i | −0.624638 | + | 0.491221i | ||||
\(144\) | 0.163847 | − | 3.43956i | 0.0136539 | − | 0.286630i | ||||
\(145\) | −11.7222 | − | 16.4616i | −0.973479 | − | 1.36706i | ||||
\(146\) | 1.54549 | − | 1.78359i | 0.127906 | − | 0.147611i | ||||
\(147\) | −0.468723 | + | 6.98429i | −0.0386596 | + | 0.576054i | ||||
\(148\) | −6.75272 | − | 14.7864i | −0.555070 | − | 1.21543i | ||||
\(149\) | −1.41775 | + | 1.35182i | −0.116146 | + | 0.110745i | −0.745927 | − | 0.666028i | \(-0.767993\pi\) |
0.629781 | + | 0.776773i | \(0.283145\pi\) | |||||||
\(150\) | −0.145012 | − | 0.597750i | −0.0118402 | − | 0.0488061i | ||||
\(151\) | 8.22916 | − | 11.5562i | 0.669680 | − | 0.940434i | −0.330314 | − | 0.943871i | \(-0.607155\pi\) |
0.999994 | + | 0.00343744i | \(0.00109417\pi\) | |||||||
\(152\) | −2.58200 | − | 2.03051i | −0.209428 | − | 0.164696i | ||||
\(153\) | −1.59578 | + | 1.84163i | −0.129011 | + | 0.148887i | ||||
\(154\) | −1.63200 | + | 0.218501i | −0.131510 | + | 0.0176073i | ||||
\(155\) | 13.0156 | + | 8.36461i | 1.04544 | + | 0.671861i | ||||
\(156\) | −8.29305 | − | 3.32004i | −0.663975 | − | 0.265816i | ||||
\(157\) | 3.78535 | + | 1.95148i | 0.302104 | + | 0.155745i | 0.602613 | − | 0.798034i | \(-0.294126\pi\) |
−0.300509 | + | 0.953779i | \(0.597157\pi\) | |||||||
\(158\) | −0.635017 | + | 1.83476i | −0.0505192 | + | 0.145966i | ||||
\(159\) | −3.16804 | + | 13.0588i | −0.251242 | + | 1.03563i | ||||
\(160\) | 9.14359 | 0.722864 | ||||||||
\(161\) | −0.380228 | + | 12.6829i | −0.0299661 | + | 0.999551i | ||||
\(162\) | −0.306979 | −0.0241185 | ||||||||
\(163\) | −2.44657 | + | 10.0849i | −0.191630 | + | 0.789911i | 0.792119 | + | 0.610366i | \(0.208978\pi\) |
−0.983750 | + | 0.179545i | \(0.942537\pi\) | |||||||
\(164\) | 2.67069 | − | 7.71645i | 0.208546 | − | 0.602553i | ||||
\(165\) | 4.76875 | + | 2.45846i | 0.371246 | + | 0.191391i | ||||
\(166\) | 1.31395 | + | 0.526025i | 0.101982 | + | 0.0408274i | ||||
\(167\) | −7.48917 | − | 4.81300i | −0.579529 | − | 0.372441i | 0.217793 | − | 0.975995i | \(-0.430114\pi\) |
−0.797322 | + | 0.603554i | \(0.793751\pi\) | |||||||
\(168\) | −1.93664 | − | 2.51245i | −0.149415 | − | 0.193840i | ||||
\(169\) | −5.87476 | + | 6.77983i | −0.451905 | + | 0.521526i | ||||
\(170\) | −1.55614 | − | 1.22376i | −0.119350 | − | 0.0938583i | ||||
\(171\) | 1.58914 | − | 2.23163i | 0.121524 | − | 0.170657i | ||||
\(172\) | 1.85834 | + | 7.66018i | 0.141697 | + | 0.584083i | ||||
\(173\) | 2.42144 | − | 2.30883i | 0.184098 | − | 0.175537i | −0.592426 | − | 0.805625i | \(-0.701830\pi\) |
0.776524 | + | 0.630088i | \(0.216981\pi\) | |||||||
\(174\) | −0.973795 | − | 2.13231i | −0.0738232 | − | 0.161650i | ||||
\(175\) | 4.28822 | + | 3.11679i | 0.324159 | + | 0.235607i | ||||
\(176\) | −4.57156 | + | 5.27586i | −0.344594 | + | 0.397683i | ||||
\(177\) | −0.152616 | − | 0.214319i | −0.0114713 | − | 0.0161092i | ||||
\(178\) | −0.0785644 | + | 1.64927i | −0.00588865 | + | 0.123618i | ||||
\(179\) | 7.35260 | − | 5.78215i | 0.549559 | − | 0.432178i | −0.304380 | − | 0.952551i | \(-0.598449\pi\) |
0.853939 | + | 0.520373i | \(0.174207\pi\) | |||||||
\(180\) | 0.239980 | + | 5.03779i | 0.0178870 | + | 0.375495i | ||||
\(181\) | 0.234575 | + | 0.270714i | 0.0174358 | + | 0.0201220i | 0.764401 | − | 0.644742i | \(-0.223035\pi\) |
−0.746965 | + | 0.664864i | \(0.768490\pi\) | |||||||
\(182\) | −3.60953 | + | 1.21017i | −0.267556 | + | 0.0897039i | ||||
\(183\) | 12.6503 | 0.935136 | ||||||||
\(184\) | −3.67671 | − | 4.42108i | −0.271050 | − | 0.325926i | ||||
\(185\) | 11.2865 | + | 19.5488i | 0.829802 | + | 1.43726i | ||||
\(186\) | 1.29886 | + | 1.23846i | 0.0952367 | + | 0.0908080i | ||||
\(187\) | 4.85093 | − | 0.934939i | 0.354735 | − | 0.0683695i | ||||
\(188\) | −10.2832 | + | 6.60862i | −0.749980 | + | 0.481983i | ||||
\(189\) | 2.01625 | − | 1.71311i | 0.146660 | − | 0.124611i | ||||
\(190\) | 1.87236 | + | 1.20329i | 0.135835 | + | 0.0872960i | ||||
\(191\) | −2.21107 | − | 3.10502i | −0.159988 | − | 0.224671i | 0.726799 | − | 0.686850i | \(-0.241007\pi\) |
−0.886787 | + | 0.462179i | \(0.847068\pi\) | |||||||
\(192\) | −5.72101 | − | 1.10264i | −0.412879 | − | 0.0795758i | ||||
\(193\) | −9.40326 | + | 3.76450i | −0.676862 | + | 0.270974i | −0.684518 | − | 0.728996i | \(-0.739987\pi\) |
0.00765619 | + | 0.999971i | \(0.497563\pi\) | |||||||
\(194\) | 0.262425 | + | 0.0250585i | 0.0188410 | + | 0.00179910i | ||||
\(195\) | 11.9023 | + | 3.49482i | 0.852340 | + | 0.250270i | ||||
\(196\) | 13.0478 | + | 2.77845i | 0.931986 | + | 0.198461i | ||||
\(197\) | 2.56755 | + | 5.62216i | 0.182931 | + | 0.400562i | 0.978775 | − | 0.204940i | \(-0.0656998\pi\) |
−0.795844 | + | 0.605502i | \(0.792973\pi\) | |||||||
\(198\) | 0.489193 | + | 0.384705i | 0.0347654 | + | 0.0273398i | ||||
\(199\) | −5.27345 | − | 1.01637i | −0.373825 | − | 0.0720489i | −0.00112156 | − | 0.999999i | \(-0.500357\pi\) |
−0.372703 | + | 0.927951i | \(0.621569\pi\) | |||||||
\(200\) | −2.39151 | + | 0.228362i | −0.169105 | + | 0.0161476i | ||||
\(201\) | −5.60454 | + | 2.88934i | −0.395314 | + | 0.203799i | ||||
\(202\) | −0.151568 | − | 1.05418i | −0.0106643 | − | 0.0741719i | ||||
\(203\) | 18.2954 | + | 8.57079i | 1.28409 | + | 0.601551i | ||||
\(204\) | 3.04119 | + | 3.50972i | 0.212926 | + | 0.245729i | ||||
\(205\) | −2.67330 | + | 11.0195i | −0.186711 | + | 0.769634i | ||||
\(206\) | 2.35030 | + | 4.07083i | 0.163753 | + | 0.283628i | ||||
\(207\) | 3.53726 | − | 3.23849i | 0.245856 | − | 0.225091i | ||||
\(208\) | −8.07032 | + | 13.9782i | −0.559576 | + | 0.969214i | ||||
\(209\) | −5.32908 | + | 1.56476i | −0.368620 | + | 0.108237i | ||||
\(210\) | 1.46810 | + | 1.56993i | 0.101309 | + | 0.108335i | ||||
\(211\) | −16.0153 | + | 10.2924i | −1.10254 | + | 0.708556i | −0.959654 | − | 0.281183i | \(-0.909273\pi\) |
−0.142881 | + | 0.989740i | \(0.545637\pi\) | |||||||
\(212\) | 23.7745 | + | 9.51789i | 1.63284 | + | 0.653691i | ||||
\(213\) | −0.442426 | + | 9.28766i | −0.0303145 | + | 0.636380i | ||||
\(214\) | 5.46611 | − | 0.521951i | 0.373656 | − | 0.0356798i | ||||
\(215\) | −3.58005 | − | 10.3439i | −0.244157 | − | 0.705446i | ||||
\(216\) | −0.170634 | + | 1.18678i | −0.0116101 | + | 0.0807503i | ||||
\(217\) | −15.4422 | − | 0.885888i | −1.04828 | − | 0.0601380i | ||||
\(218\) | 2.97679 | + | 0.874064i | 0.201614 | + | 0.0591991i | ||||
\(219\) | 5.56401 | − | 5.30527i | 0.375981 | − | 0.358497i | ||||
\(220\) | 5.93093 | − | 8.32882i | 0.399863 | − | 0.561529i | ||||
\(221\) | 10.6040 | − | 4.24521i | 0.713303 | − | 0.285563i | ||||
\(222\) | 0.856394 | + | 2.47439i | 0.0574774 | + | 0.166070i | ||||
\(223\) | −0.946517 | + | 2.07258i | −0.0633835 | + | 0.138790i | −0.938673 | − | 0.344809i | \(-0.887944\pi\) |
0.875289 | + | 0.483600i | \(0.160671\pi\) | |||||||
\(224\) | −7.96049 | + | 4.49355i | −0.531882 | + | 0.300238i | ||||
\(225\) | −0.285154 | − | 1.98329i | −0.0190102 | − | 0.132219i | ||||
\(226\) | −0.221343 | − | 4.64657i | −0.0147235 | − | 0.309085i | ||||
\(227\) | −6.85765 | + | 19.8139i | −0.455158 | + | 1.31509i | 0.451139 | + | 0.892453i | \(0.351018\pi\) |
−0.906298 | + | 0.422640i | \(0.861103\pi\) | |||||||
\(228\) | −3.77867 | − | 3.60295i | −0.250248 | − | 0.238611i | ||||
\(229\) | −2.08379 | + | 3.60923i | −0.137701 | + | 0.238505i | −0.926626 | − | 0.375985i | \(-0.877305\pi\) |
0.788925 | + | 0.614489i | \(0.210638\pi\) | |||||||
\(230\) | 2.76471 | + | 2.74524i | 0.182300 | + | 0.181016i | ||||
\(231\) | −5.35990 | + | 0.203208i | −0.352656 | + | 0.0133701i | ||||
\(232\) | −8.78482 | + | 2.57946i | −0.576752 | + | 0.169350i | ||||
\(233\) | −15.7175 | + | 3.02930i | −1.02969 | + | 0.198456i | −0.675995 | − | 0.736906i | \(-0.736286\pi\) |
−0.353692 | + | 0.935362i | \(0.615074\pi\) | |||||||
\(234\) | 1.27895 | + | 0.659346i | 0.0836078 | + | 0.0431028i | ||||
\(235\) | 13.3428 | − | 10.4929i | 0.870390 | − | 0.684482i | ||||
\(236\) | −0.445677 | + | 0.229763i | −0.0290111 | + | 0.0149563i | ||||
\(237\) | −2.62737 | + | 5.75313i | −0.170666 | + | 0.373706i | ||||
\(238\) | 1.95620 | + | 0.300664i | 0.126801 | + | 0.0194892i | ||||
\(239\) | −1.08730 | + | 7.56236i | −0.0703318 | + | 0.489168i | 0.923961 | + | 0.382486i | \(0.124932\pi\) |
−0.994293 | + | 0.106683i | \(0.965977\pi\) | |||||||
\(240\) | 9.07168 | + | 0.866241i | 0.585575 | + | 0.0559156i | ||||
\(241\) | 5.98319 | + | 24.6630i | 0.385411 | + | 1.58869i | 0.752560 | + | 0.658523i | \(0.228819\pi\) |
−0.367150 | + | 0.930162i | \(0.619666\pi\) | |||||||
\(242\) | 0.498652 | + | 2.05547i | 0.0320545 | + | 0.132131i | ||||
\(243\) | −0.995472 | − | 0.0950560i | −0.0638596 | − | 0.00609785i | ||||
\(244\) | 3.43099 | − | 23.8631i | 0.219647 | − | 1.52768i | ||||
\(245\) | −18.4036 | − | 2.11853i | −1.17576 | − | 0.135348i | ||||
\(246\) | −0.546395 | + | 1.19644i | −0.0348369 | + | 0.0762821i | ||||
\(247\) | −11.4140 | + | 5.88431i | −0.726254 | + | 0.374410i | ||||
\(248\) | 5.50985 | − | 4.33299i | 0.349876 | − | 0.275145i | ||||
\(249\) | 4.09798 | + | 2.11266i | 0.259699 | + | 0.133884i | ||||
\(250\) | −2.39023 | + | 0.460679i | −0.151171 | + | 0.0291359i | ||||
\(251\) | 22.3858 | − | 6.57307i | 1.41298 | − | 0.414888i | 0.515859 | − | 0.856674i | \(-0.327473\pi\) |
0.897121 | + | 0.441785i | \(0.145655\pi\) | |||||||
\(252\) | −2.68471 | − | 4.26801i | −0.169121 | − | 0.268859i | ||||
\(253\) | −9.69534 | + | 0.727878i | −0.609541 | + | 0.0457613i | ||||
\(254\) | 3.15572 | − | 5.46587i | 0.198007 | − | 0.342959i | ||||
\(255\) | −4.66732 | − | 4.45028i | −0.292279 | − | 0.278687i | ||||
\(256\) | −2.93783 | + | 8.48829i | −0.183614 | + | 0.530518i | ||||
\(257\) | 1.06015 | + | 22.2553i | 0.0661302 | + | 1.38824i | 0.751348 | + | 0.659906i | \(0.229404\pi\) |
−0.685218 | + | 0.728338i | \(0.740293\pi\) | |||||||
\(258\) | −0.180695 | − | 1.25676i | −0.0112496 | − | 0.0782426i | ||||
\(259\) | −19.4333 | − | 11.4727i | −1.20752 | − | 0.712879i | ||||
\(260\) | 9.82063 | − | 21.5042i | 0.609050 | − | 1.33363i | ||||
\(261\) | −2.49755 | − | 7.21621i | −0.154595 | − | 0.446672i | ||||
\(262\) | 1.26316 | − | 0.505692i | 0.0780381 | − | 0.0312418i | ||||
\(263\) | 10.2697 | − | 14.4218i | 0.633257 | − | 0.889286i | −0.365886 | − | 0.930660i | \(-0.619234\pi\) |
0.999144 | + | 0.0413740i | \(0.0131735\pi\) | |||||||
\(264\) | 1.75919 | − | 1.67739i | 0.108271 | − | 0.103236i | ||||
\(265\) | −34.1215 | − | 10.0190i | −2.09607 | − | 0.615460i | ||||
\(266\) | −2.22144 | − | 0.127440i | −0.136205 | − | 0.00781383i | ||||
\(267\) | −0.765466 | + | 5.32393i | −0.0468458 | + | 0.325819i | ||||
\(268\) | 3.93030 | + | 11.3559i | 0.240081 | + | 0.693670i | ||||
\(269\) | 0.618970 | − | 0.0591045i | 0.0377393 | − | 0.00360366i | −0.0761693 | − | 0.997095i | \(-0.524269\pi\) |
0.113909 | + | 0.993491i | \(0.463663\pi\) | |||||||
\(270\) | 0.0386557 | − | 0.811483i | 0.00235251 | − | 0.0493853i | ||||
\(271\) | 5.61195 | + | 2.24668i | 0.340901 | + | 0.136476i | 0.535795 | − | 0.844348i | \(-0.320012\pi\) |
−0.194894 | + | 0.980824i | \(0.562436\pi\) | |||||||
\(272\) | 7.05907 | − | 4.53659i | 0.428019 | − | 0.275071i | ||||
\(273\) | −12.0797 | + | 2.80666i | −0.731098 | + | 0.169867i | ||||
\(274\) | 3.12661 | − | 0.918054i | 0.188885 | − | 0.0554617i | ||||
\(275\) | −2.03104 | + | 3.51786i | −0.122476 | + | 0.212135i | ||||
\(276\) | −5.14961 | − | 7.55090i | −0.309970 | − | 0.454511i | ||||
\(277\) | −11.8550 | − | 20.5334i | −0.712295 | − | 1.23373i | −0.963994 | − | 0.265926i | \(-0.914322\pi\) |
0.251699 | − | 0.967806i | \(-0.419011\pi\) | |||||||
\(278\) | −1.43497 | + | 5.91501i | −0.0860636 | + | 0.354759i | ||||
\(279\) | 3.82844 | + | 4.41826i | 0.229203 | + | 0.264514i | ||||
\(280\) | 6.88540 | − | 4.80305i | 0.411481 | − | 0.287037i | ||||
\(281\) | −2.61045 | − | 18.1561i | −0.155726 | − | 1.08310i | −0.906398 | − | 0.422425i | \(-0.861179\pi\) |
0.750671 | − | 0.660676i | \(-0.229730\pi\) | |||||||
\(282\) | 1.75010 | − | 0.902239i | 0.104217 | − | 0.0537275i | ||||
\(283\) | 21.7538 | − | 2.07723i | 1.29313 | − | 0.123479i | 0.574287 | − | 0.818654i | \(-0.305279\pi\) |
0.718840 | + | 0.695176i | \(0.244673\pi\) | |||||||
\(284\) | 17.3999 | + | 3.35356i | 1.03250 | + | 0.198997i | ||||
\(285\) | 5.69909 | + | 4.48182i | 0.337585 | + | 0.265480i | ||||
\(286\) | −1.21181 | − | 2.65350i | −0.0716559 | − | 0.156905i | ||||
\(287\) | −3.08805 | − | 10.9074i | −0.182282 | − | 0.643845i | ||||
\(288\) | 3.31509 | + | 0.973398i | 0.195344 | + | 0.0573581i | ||||
\(289\) | 11.0118 | + | 1.05150i | 0.647751 | + | 0.0618528i | ||||
\(290\) | 5.75929 | − | 2.30567i | 0.338197 | − | 0.135394i | ||||
\(291\) | 0.843232 | + | 0.162520i | 0.0494311 | + | 0.00952707i | ||||
\(292\) | −8.49862 | − | 11.9346i | −0.497344 | − | 0.698422i | ||||
\(293\) | 7.42190 | + | 4.76977i | 0.433592 | + | 0.278653i | 0.739176 | − | 0.673512i | \(-0.235215\pi\) |
−0.305584 | + | 0.952165i | \(0.598852\pi\) | |||||||
\(294\) | −2.04967 | − | 0.645306i | −0.119539 | − | 0.0376350i | ||||
\(295\) | 0.585761 | − | 0.376445i | 0.0341043 | − | 0.0219175i | ||||
\(296\) | 10.0420 | − | 1.93544i | 0.583681 | − | 0.112495i | ||||
\(297\) | 1.46723 | + | 1.39900i | 0.0851374 | + | 0.0811783i | ||||
\(298\) | −0.300676 | − | 0.520786i | −0.0174177 | − | 0.0301683i | ||||
\(299\) | −21.6929 | + | 5.89487i | −1.25454 | + | 0.340909i | ||||
\(300\) | −3.81855 | −0.220464 | ||||||||
\(301\) | 8.20023 | + | 7.24607i | 0.472654 | + | 0.417657i | ||||
\(302\) | 2.85195 | + | 3.29133i | 0.164111 | + | 0.189395i | ||||
\(303\) | −0.165079 | − | 3.46543i | −0.00948354 | − | 0.199084i | ||||
\(304\) | −7.41546 | + | 5.83158i | −0.425306 | + | 0.334464i | ||||
\(305\) | −1.59296 | + | 33.4404i | −0.0912128 | + | 1.91479i | ||||
\(306\) | −0.433914 | − | 0.609348i | −0.0248052 | − | 0.0348341i | ||||
\(307\) | −11.8968 | + | 13.7296i | −0.678984 | + | 0.783590i | −0.985754 | − | 0.168194i | \(-0.946206\pi\) |
0.306770 | + | 0.951784i | \(0.400752\pi\) | |||||||
\(308\) | −1.07038 | + | 10.1658i | −0.0609905 | + | 0.579253i | ||||
\(309\) | 6.36101 | + | 13.9287i | 0.361865 | + | 0.792375i | ||||
\(310\) | −3.43735 | + | 3.27751i | −0.195228 | + | 0.186150i | ||||
\(311\) | −6.02593 | − | 24.8392i | −0.341699 | − | 1.40850i | −0.840511 | − | 0.541794i | \(-0.817745\pi\) |
0.498812 | − | 0.866710i | \(-0.333770\pi\) | |||||||
\(312\) | 3.25994 | − | 4.57795i | 0.184558 | − | 0.259175i | ||||
\(313\) | −11.4757 | − | 9.02459i | −0.648645 | − | 0.510100i | 0.238767 | − | 0.971077i | \(-0.423257\pi\) |
−0.887412 | + | 0.460977i | \(0.847499\pi\) | |||||||
\(314\) | −0.856134 | + | 0.988032i | −0.0483145 | + | 0.0557579i | ||||
\(315\) | 4.27463 | + | 5.54557i | 0.240848 | + | 0.312457i | ||||
\(316\) | 10.1399 | + | 6.51654i | 0.570415 | + | 0.366584i | ||||
\(317\) | 2.38947 | + | 0.956601i | 0.134206 | + | 0.0537281i | 0.437793 | − | 0.899076i | \(-0.355760\pi\) |
−0.303587 | + | 0.952804i | \(0.598184\pi\) | |||||||
\(318\) | −3.66651 | − | 1.89022i | −0.205608 | − | 0.105998i | ||||
\(319\) | −5.06331 | + | 14.6295i | −0.283491 | + | 0.819093i | ||||
\(320\) | 3.63517 | − | 14.9844i | 0.203212 | − | 0.837652i | ||||
\(321\) | 17.8872 | 0.998364 | ||||||||
\(322\) | −3.75611 | − | 1.03133i | −0.209320 | − | 0.0574738i | ||||
\(323\) | 6.67599 | 0.371462 | ||||||||
\(324\) | −0.449301 | + | 1.85204i | −0.0249612 | + | 0.102891i | ||||
\(325\) | −3.07179 | + | 8.87536i | −0.170392 | + | 0.492316i | ||||
\(326\) | −2.83152 | − | 1.45975i | −0.156823 | − | 0.0808481i | ||||
\(327\) | 9.38249 | + | 3.75618i | 0.518853 | + | 0.207717i | ||||
\(328\) | 4.32173 | + | 2.77741i | 0.238627 | + | 0.153357i | ||||
\(329\) | −6.45971 | + | 15.6925i | −0.356136 | + | 0.865153i | ||||
\(330\) | −1.07855 | + | 1.24471i | −0.0593722 | + | 0.0685192i | ||||
\(331\) | −21.3700 | − | 16.8056i | −1.17460 | − | 0.923718i | −0.176440 | − | 0.984311i | \(-0.556458\pi\) |
−0.998163 | + | 0.0605939i | \(0.980701\pi\) | |||||||
\(332\) | 5.09670 | − | 7.15731i | 0.279718 | − | 0.392808i | ||||
\(333\) | 2.01092 | + | 8.28914i | 0.110198 | + | 0.454242i | ||||
\(334\) | 1.97785 | − | 1.88588i | 0.108223 | − | 0.103191i | ||||
\(335\) | −6.93209 | − | 15.1792i | −0.378741 | − | 0.829326i | ||||
\(336\) | −8.32359 | + | 3.70405i | −0.454089 | + | 0.202073i | ||||
\(337\) | −10.7666 | + | 12.4253i | −0.586494 | + | 0.676851i | −0.968988 | − | 0.247107i | \(-0.920520\pi\) |
0.382494 | + | 0.923958i | \(0.375065\pi\) | |||||||
\(338\) | −1.59742 | − | 2.24327i | −0.0868884 | − | 0.122018i | ||||
\(339\) | 0.721038 | − | 15.1365i | 0.0391614 | − | 0.822099i | ||||
\(340\) | −9.66072 | + | 7.59727i | −0.523926 | + | 0.412020i | ||||
\(341\) | −0.563943 | − | 11.8386i | −0.0305392 | − | 0.641097i | ||||
\(342\) | 0.550742 | + | 0.635590i | 0.0297807 | + | 0.0343688i | ||||
\(343\) | 17.0635 | − | 7.19990i | 0.921340 | − | 0.388758i | ||||
\(344\) | −4.95909 | −0.267376 | ||||||||
\(345\) | 8.11536 | + | 9.75836i | 0.436916 | + | 0.525373i | ||||
\(346\) | 0.513538 | + | 0.889473i | 0.0276080 | + | 0.0478184i | ||||
\(347\) | 20.6609 | + | 19.7002i | 1.10914 | + | 1.05756i | 0.997965 | + | 0.0637592i | \(0.0203090\pi\) |
0.111172 | + | 0.993801i | \(0.464540\pi\) | |||||||
\(348\) | −14.2898 | + | 2.75413i | −0.766013 | + | 0.147637i | ||||
\(349\) | −5.26380 | + | 3.38284i | −0.281765 | + | 0.181079i | −0.673888 | − | 0.738834i | \(-0.735377\pi\) |
0.392123 | + | 0.919913i | \(0.371741\pi\) | |||||||
\(350\) | −1.24017 | + | 1.05371i | −0.0662898 | + | 0.0563234i | ||||
\(351\) | 3.94323 | + | 2.53416i | 0.210474 | + | 0.135263i | ||||
\(352\) | −4.06297 | − | 5.70565i | −0.216557 | − | 0.304112i | ||||
\(353\) | −29.3962 | − | 5.66566i | −1.56460 | − | 0.301553i | −0.667923 | − | 0.744231i | \(-0.732816\pi\) |
−0.896681 | + | 0.442678i | \(0.854029\pi\) | |||||||
\(354\) | 0.0749823 | − | 0.0300184i | 0.00398526 | − | 0.00159546i | ||||
\(355\) | −24.4958 | − | 2.33906i | −1.30010 | − | 0.124144i | ||||
\(356\) | 9.83528 | + | 2.88790i | 0.521269 | + | 0.153058i | ||||
\(357\) | 6.25046 | + | 1.58073i | 0.330809 | + | 0.0836612i | ||||
\(358\) | 1.19283 | + | 2.61194i | 0.0630432 | + | 0.138045i | ||||
\(359\) | 24.8118 | + | 19.5122i | 1.30952 | + | 1.02981i | 0.996797 | + | 0.0799686i | \(0.0254820\pi\) |
0.312718 | + | 0.949846i | \(0.398760\pi\) | |||||||
\(360\) | −3.11571 | − | 0.600505i | −0.164213 | − | 0.0316494i | ||||
\(361\) | 11.4424 | − | 1.09262i | 0.602233 | − | 0.0575063i | ||||
\(362\) | −0.0977378 | + | 0.0503874i | −0.00513699 | + | 0.00264830i | ||||
\(363\) | 0.980553 | + | 6.81989i | 0.0514657 | + | 0.357952i | ||||
\(364\) | 2.01814 | + | 23.5480i | 0.105779 | + | 1.23425i | ||||
\(365\) | 13.3236 | + | 15.3762i | 0.697388 | + | 0.804829i | ||||
\(366\) | −0.915539 | + | 3.77390i | −0.0478560 | + | 0.197265i | ||||
\(367\) | −2.64492 | − | 4.58113i | −0.138064 | − | 0.239133i | 0.788700 | − | 0.614778i | \(-0.210755\pi\) |
−0.926764 | + | 0.375645i | \(0.877421\pi\) | |||||||
\(368\) | −14.8288 | + | 7.26828i | −0.773005 | + | 0.378885i | ||||
\(369\) | −2.14233 | + | 3.71062i | −0.111525 | + | 0.193167i | ||||
\(370\) | −6.64876 | + | 1.95225i | −0.345653 | + | 0.101493i | ||||
\(371\) | 34.6302 | − | 8.04614i | 1.79791 | − | 0.417735i | ||||
\(372\) | 9.37280 | − | 6.02353i | 0.485957 | − | 0.312306i | ||||
\(373\) | −4.36512 | − | 1.74753i | −0.226017 | − | 0.0904837i | 0.255890 | − | 0.966706i | \(-0.417632\pi\) |
−0.481907 | + | 0.876222i | \(0.660056\pi\) | |||||||
\(374\) | −0.0721598 | + | 1.51482i | −0.00373129 | + | 0.0783295i | ||||
\(375\) | −7.89369 | + | 0.753756i | −0.407628 | + | 0.0389238i | ||||
\(376\) | −2.51527 | − | 7.26741i | −0.129715 | − | 0.374788i | ||||
\(377\) | −5.09392 | + | 35.4290i | −0.262350 | + | 1.82469i | ||||
\(378\) | 0.365143 | + | 0.725481i | 0.0187809 | + | 0.0373147i | ||||
\(379\) | −6.64398 | − | 1.95085i | −0.341278 | − | 0.100208i | 0.106602 | − | 0.994302i | \(-0.466003\pi\) |
−0.447881 | + | 0.894093i | \(0.647821\pi\) | |||||||
\(380\) | 10.0000 | − | 9.53502i | 0.512991 | − | 0.489136i | ||||
\(381\) | 11.9259 | − | 16.7476i | 0.610982 | − | 0.858004i | ||||
\(382\) | 1.08633 | − | 0.434900i | 0.0555814 | − | 0.0222514i | ||||
\(383\) | 8.14729 | + | 23.5401i | 0.416307 | + | 1.20284i | 0.937071 | + | 0.349140i | \(0.113526\pi\) |
−0.520764 | + | 0.853701i | \(0.674353\pi\) | |||||||
\(384\) | 3.61355 | − | 7.91256i | 0.184403 | − | 0.403786i | ||||
\(385\) | 0.137764 | − | 14.1942i | 0.00702110 | − | 0.723404i | ||||
\(386\) | −0.442504 | − | 3.07768i | −0.0225228 | − | 0.156650i | ||||
\(387\) | −0.196802 | − | 4.13138i | −0.0100040 | − | 0.210010i | ||||
\(388\) | 0.535271 | − | 1.54657i | 0.0271743 | − | 0.0785150i | ||||
\(389\) | −14.3328 | − | 13.6663i | −0.726704 | − | 0.692910i | 0.233455 | − | 0.972368i | \(-0.424997\pi\) |
−0.960158 | + | 0.279457i | \(0.909845\pi\) | |||||||
\(390\) | −1.90400 | + | 3.29782i | −0.0964127 | + | 0.166992i | ||||
\(391\) | 11.4283 | + | 2.44379i | 0.577952 | + | 0.123588i | ||||
\(392\) | −3.63406 | + | 7.56535i | −0.183548 | + | 0.382108i | ||||
\(393\) | 4.25276 | − | 1.24872i | 0.214523 | − | 0.0629897i | ||||
\(394\) | −1.86305 | + | 0.359074i | −0.0938593 | + | 0.0180899i | ||||
\(395\) | −14.8773 | − | 7.66977i | −0.748557 | − | 0.385908i | ||||
\(396\) | 3.03697 | − | 2.38830i | 0.152614 | − | 0.120017i | ||||
\(397\) | 9.48334 | − | 4.88900i | 0.475955 | − | 0.245372i | −0.203519 | − | 0.979071i | \(-0.565238\pi\) |
0.679475 | + | 0.733699i | \(0.262208\pi\) | |||||||
\(398\) | 0.684866 | − | 1.49965i | 0.0343292 | − | 0.0751705i | ||||
\(399\) | −7.16423 | − | 1.10113i | −0.358660 | − | 0.0551255i | ||||
\(400\) | −0.981917 | + | 6.82938i | −0.0490958 | + | 0.341469i | ||||
\(401\) | −1.72311 | − | 0.164537i | −0.0860479 | − | 0.00821658i | 0.0519433 | − | 0.998650i | \(-0.483459\pi\) |
−0.137991 | + | 0.990433i | \(0.544065\pi\) | |||||||
\(402\) | −0.456347 | − | 1.88109i | −0.0227605 | − | 0.0938202i | ||||
\(403\) | −6.46051 | − | 26.6306i | −0.321821 | − | 1.32656i | ||||
\(404\) | −6.58185 | − | 0.628491i | −0.327459 | − | 0.0312686i | ||||
\(405\) | 0.376629 | − | 2.61951i | 0.0187148 | − | 0.130165i | ||||
\(406\) | −3.88098 | + | 4.83769i | −0.192610 | + | 0.240091i | ||||
\(407\) | 7.18338 | − | 15.7294i | 0.356067 | − | 0.779678i | ||||
\(408\) | −2.59693 | + | 1.33881i | −0.128567 | + | 0.0662811i | ||||
\(409\) | 5.60628 | − | 4.40883i | 0.277213 | − | 0.218003i | −0.469867 | − | 0.882737i | \(-0.655698\pi\) |
0.747079 | + | 0.664735i | \(0.231456\pi\) | |||||||
\(410\) | −3.09392 | − | 1.59503i | −0.152798 | − | 0.0787727i | ||||
\(411\) | 10.4232 | − | 2.00892i | 0.514141 | − | 0.0990925i | ||||
\(412\) | 27.9998 | − | 8.22148i | 1.37945 | − | 0.405043i | ||||
\(413\) | −0.324967 | + | 0.615604i | −0.0159906 | + | 0.0302919i | ||||
\(414\) | 0.710122 | + | 1.28963i | 0.0349006 | + | 0.0633820i | ||||
\(415\) | −6.10074 | + | 10.5668i | −0.299473 | + | 0.518703i | ||||
\(416\) | −11.7208 | − | 11.1758i | −0.574660 | − | 0.547937i | ||||
\(417\) | −6.48490 | + | 18.7369i | −0.317567 | + | 0.917549i | ||||
\(418\) | −0.0811261 | − | 1.70305i | −0.00396801 | − | 0.0832987i | ||||
\(419\) | −1.89816 | − | 13.2020i | −0.0927311 | − | 0.644959i | −0.982183 | − | 0.187929i | \(-0.939822\pi\) |
0.889451 | − | 0.457030i | \(-0.151087\pi\) | |||||||
\(420\) | 11.6203 | − | 6.55946i | 0.567014 | − | 0.320069i | ||||
\(421\) | 9.72691 | − | 21.2990i | 0.474060 | − | 1.03805i | −0.509994 | − | 0.860178i | \(-0.670352\pi\) |
0.984054 | − | 0.177869i | \(-0.0569205\pi\) | |||||||
\(422\) | −1.91141 | − | 5.52265i | −0.0930459 | − | 0.268838i | ||||
\(423\) | 5.95461 | − | 2.38386i | 0.289523 | − | 0.115907i | ||||
\(424\) | −9.34561 | + | 13.1241i | −0.453863 | + | 0.637362i | ||||
\(425\) | 3.53373 | − | 3.36940i | 0.171411 | − | 0.163440i | ||||
\(426\) | −2.73873 | − | 0.804163i | −0.132692 | − | 0.0389618i | ||||
\(427\) | −15.0472 | − | 29.8963i | −0.728184 | − | 1.44678i | ||||
\(428\) | 4.85133 | − | 33.7417i | 0.234498 | − | 1.63097i | ||||
\(429\) | −3.10801 | − | 8.98001i | −0.150056 | − | 0.433559i | ||||
\(430\) | 3.34494 | − | 0.319403i | 0.161307 | − | 0.0154030i | ||||
\(431\) | 1.19324 | − | 25.0493i | 0.0574765 | − | 1.20658i | −0.767363 | − | 0.641213i | \(-0.778431\pi\) |
0.824839 | − | 0.565368i | \(-0.191266\pi\) | |||||||
\(432\) | 3.19680 | + | 1.27981i | 0.153806 | + | 0.0615747i | ||||
\(433\) | −34.2162 | + | 21.9894i | −1.64432 | + | 1.05674i | −0.707636 | + | 0.706577i | \(0.750238\pi\) |
−0.936688 | + | 0.350166i | \(0.886125\pi\) | |||||||
\(434\) | 1.38188 | − | 4.54269i | 0.0663324 | − | 0.218056i | ||||
\(435\) | 19.3902 | − | 5.69347i | 0.929688 | − | 0.272981i | ||||
\(436\) | 9.63024 | − | 16.6801i | 0.461205 | − | 0.798830i | ||||
\(437\) | −13.0513 | − | 1.51370i | −0.624327 | − | 0.0724101i | ||||
\(438\) | 1.18001 | + | 2.04384i | 0.0563832 | + | 0.0976586i | ||||
\(439\) | 3.42555 | − | 14.1203i | 0.163492 | − | 0.673925i | −0.829777 | − | 0.558096i | \(-0.811532\pi\) |
0.993269 | − | 0.115829i | \(-0.0369526\pi\) | |||||||
\(440\) | 4.21256 | + | 4.86155i | 0.200826 | + | 0.231766i | ||||
\(441\) | −6.44685 | − | 2.72728i | −0.306993 | − | 0.129871i | ||||
\(442\) | 0.499009 | + | 3.47069i | 0.0237355 | + | 0.165084i | ||||
\(443\) | 17.9523 | − | 9.25504i | 0.852938 | − | 0.439720i | 0.0244327 | − | 0.999701i | \(-0.492222\pi\) |
0.828505 | + | 0.559981i | \(0.189192\pi\) | |||||||
\(444\) | 16.1817 | − | 1.54517i | 0.767952 | − | 0.0733305i | ||||
\(445\) | −13.9772 | − | 2.69388i | −0.662581 | − | 0.127702i | ||||
\(446\) | −0.549802 | − | 0.432369i | −0.0260339 | − | 0.0204733i | ||||
\(447\) | −0.813771 | − | 1.78191i | −0.0384900 | − | 0.0842814i | ||||
\(448\) | 4.19914 | + | 14.8320i | 0.198391 | + | 0.700746i | ||||
\(449\) | −6.87150 | − | 2.01765i | −0.324286 | − | 0.0952190i | 0.115538 | − | 0.993303i | \(-0.463141\pi\) |
−0.439824 | + | 0.898084i | \(0.644959\pi\) | |||||||
\(450\) | 0.612303 | + | 0.0584678i | 0.0288642 | + | 0.00275620i | ||||
\(451\) | 8.06410 | − | 3.22838i | 0.379723 | − | 0.152018i | ||||
\(452\) | −28.3573 | − | 5.46543i | −1.33382 | − | 0.257072i | ||||
\(453\) | 8.22916 | + | 11.5562i | 0.386640 | + | 0.542960i | ||||
\(454\) | −5.41468 | − | 3.47980i | −0.254123 | − | 0.163315i | ||||
\(455\) | −5.89815 | − | 32.2856i | −0.276509 | − | 1.51357i | ||||
\(456\) | 2.76332 | − | 1.77588i | 0.129405 | − | 0.0831632i | ||||
\(457\) | −27.1651 | + | 5.23565i | −1.27073 | + | 0.244913i | −0.779658 | − | 0.626205i | \(-0.784607\pi\) |
−0.491073 | + | 0.871119i | \(0.663395\pi\) | |||||||
\(458\) | −0.925916 | − | 0.882859i | −0.0432652 | − | 0.0412533i | ||||
\(459\) | −1.21841 | − | 2.11036i | −0.0568707 | − | 0.0985030i | ||||
\(460\) | 20.6089 | − | 12.6619i | 0.960894 | − | 0.590364i | ||||
\(461\) | 25.4517 | 1.18540 | 0.592701 | − | 0.805423i | \(-0.298062\pi\) | ||||
0.592701 | + | 0.805423i | \(0.298062\pi\) | |||||||
\(462\) | 0.327290 | − | 1.61370i | 0.0152269 | − | 0.0750762i | ||||
\(463\) | −9.29228 | − | 10.7239i | −0.431849 | − | 0.498380i | 0.497561 | − | 0.867429i | \(-0.334229\pi\) |
−0.929410 | + | 0.369049i | \(0.879684\pi\) | |||||||
\(464\) | 1.25116 | + | 26.2652i | 0.0580839 | + | 1.21933i | ||||
\(465\) | −12.1615 | + | 9.56394i | −0.563978 | + | 0.443517i | ||||
\(466\) | 0.233805 | − | 4.90817i | 0.0108308 | − | 0.227367i | ||||
\(467\) | 1.82194 | + | 2.55856i | 0.0843095 | + | 0.118396i | 0.854577 | − | 0.519325i | \(-0.173817\pi\) |
−0.770267 | + | 0.637721i | \(0.779877\pi\) | |||||||
\(468\) | 5.84983 | − | 6.75106i | 0.270408 | − | 0.312068i | ||||
\(469\) | 13.4948 | + | 9.80838i | 0.623133 | + | 0.452909i | ||||
\(470\) | 2.16464 | + | 4.73991i | 0.0998476 | + | 0.218636i | ||||
\(471\) | −3.08222 | + | 2.93889i | −0.142021 | + | 0.135417i | ||||
\(472\) | −0.0743725 | − | 0.306568i | −0.00342327 | − | 0.0141109i | ||||
\(473\) | −4.86382 | + | 6.83029i | −0.223639 | + | 0.314057i | ||||
\(474\) | −1.52616 | − | 1.20018i | −0.0700987 | − | 0.0551262i | ||||
\(475\) | −3.59475 | + | 4.14856i | −0.164938 | + | 0.190349i | ||||
\(476\) | 4.67708 | − | 11.3619i | 0.214374 | − | 0.520773i | ||||
\(477\) | −11.3045 | − | 7.26493i | −0.517596 | − | 0.332638i | ||||
\(478\) | −2.17735 | − | 0.871681i | −0.0995899 | − | 0.0398698i | ||||
\(479\) | −18.9932 | − | 9.79166i | −0.867821 | − | 0.447393i | −0.0339959 | − | 0.999422i | \(-0.510823\pi\) |
−0.833825 | + | 0.552029i | \(0.813854\pi\) | |||||||
\(480\) | −2.99058 | + | 8.64070i | −0.136500 | + | 0.394392i | ||||
\(481\) | 9.42585 | − | 38.8539i | 0.429782 | − | 1.77158i | ||||
\(482\) | −7.79063 | −0.354854 | ||||||||
\(483\) | −11.8610 | − | 4.50748i | −0.539693 | − | 0.205097i | ||||
\(484\) | 13.1308 | 0.596853 | ||||||||
\(485\) | −0.535795 | + | 2.20858i | −0.0243292 | + | 0.100286i | ||||
\(486\) | 0.100403 | − | 0.290095i | 0.00455437 | − | 0.0131590i | ||||
\(487\) | 25.9863 | + | 13.3969i | 1.17755 | + | 0.607070i | 0.932051 | − | 0.362327i | \(-0.118018\pi\) |
0.245500 | + | 0.969397i | \(0.421048\pi\) | |||||||
\(488\) | 14.0810 | + | 5.63720i | 0.637419 | + | 0.255184i | ||||
\(489\) | −8.73006 | − | 5.61047i | −0.394787 | − | 0.253714i | ||||
\(490\) | 1.96393 | − | 5.33694i | 0.0887215 | − | 0.241098i | ||||
\(491\) | 1.33646 | − | 1.54236i | 0.0603138 | − | 0.0696059i | −0.724791 | − | 0.688969i | \(-0.758064\pi\) |
0.785105 | + | 0.619363i | \(0.212609\pi\) | |||||||
\(492\) | 6.41855 | + | 5.04760i | 0.289371 | + | 0.227564i | ||||
\(493\) | 10.7938 | − | 15.1577i | 0.486126 | − | 0.682669i | ||||
\(494\) | −0.929377 | − | 3.83095i | −0.0418147 | − | 0.172362i | ||||
\(495\) | −3.88295 | + | 3.70239i | −0.174526 | + | 0.166410i | ||||
\(496\) | −8.36279 | − | 18.3120i | −0.375500 | − | 0.822231i | ||||
\(497\) | 22.4757 | − | 10.0018i | 1.00817 | − | 0.448644i | ||||
\(498\) | −0.926843 | + | 1.06963i | −0.0415328 | + | 0.0479315i | ||||
\(499\) | 15.0222 | + | 21.0957i | 0.672484 | + | 0.944372i | 1.00000 | 0.000473698i | \(-0.000150783\pi\) | |
−0.327516 | + | 0.944846i | \(0.606211\pi\) | |||||||
\(500\) | −0.719055 | + | 15.0948i | −0.0321571 | + | 0.675061i | ||||
\(501\) | 6.99775 | − | 5.50309i | 0.312637 | − | 0.245860i | ||||
\(502\) | 0.340786 | + | 7.15397i | 0.0152100 | + | 0.319297i | ||||
\(503\) | −3.90255 | − | 4.50378i | −0.174006 | − | 0.200814i | 0.662047 | − | 0.749462i | \(-0.269688\pi\) |
−0.836053 | + | 0.548649i | \(0.815142\pi\) | |||||||
\(504\) | 3.00768 | − | 1.00839i | 0.133973 | − | 0.0449172i | ||||
\(505\) | 9.18149 | 0.408571 | ||||||||
\(506\) | 0.484536 | − | 2.94505i | 0.0215403 | − | 0.130923i | ||||
\(507\) | −4.48550 | − | 7.76912i | −0.199208 | − | 0.345039i | ||||
\(508\) | −28.3575 | − | 27.0388i | −1.25816 | − | 1.19965i | ||||
\(509\) | −15.6709 | + | 3.02031i | −0.694599 | + | 0.133873i | −0.524318 | − | 0.851523i | \(-0.675680\pi\) |
−0.170281 | + | 0.985396i | \(0.554468\pi\) | |||||||
\(510\) | 1.66542 | − | 1.07030i | 0.0737460 | − | 0.0473937i | ||||
\(511\) | −19.1561 | − | 6.83890i | −0.847418 | − | 0.302535i | ||||
\(512\) | −16.9552 | − | 10.8964i | −0.749320 | − | 0.481559i | ||||
\(513\) | 1.58914 | + | 2.23163i | 0.0701621 | + | 0.0985289i | ||||
\(514\) | −6.71604 | − | 1.29441i | −0.296232 | − | 0.0570940i | ||||
\(515\) | −37.6207 | + | 15.0611i | −1.65777 | + | 0.663670i | ||||
\(516\) | −7.84668 | − | 0.749267i | −0.345431 | − | 0.0329846i | ||||
\(517\) | −12.4765 | − | 3.66344i | −0.548718 | − | 0.161118i | ||||
\(518\) | 4.82905 | − | 4.96713i | 0.212176 | − | 0.218243i | ||||
\(519\) | 1.38988 | + | 3.04340i | 0.0610088 | + | 0.133591i | ||||
\(520\) | 11.6911 | + | 9.19396i | 0.512688 | + | 0.403182i | ||||
\(521\) | 10.6530 | + | 2.05319i | 0.466715 | + | 0.0899519i | 0.417187 | − | 0.908821i | \(-0.363016\pi\) |
0.0495281 | + | 0.998773i | \(0.484228\pi\) | |||||||
\(522\) | 2.33353 | − | 0.222826i | 0.102136 | − | 0.00975281i | ||||
\(523\) | 17.0360 | − | 8.78266i | 0.744932 | − | 0.384039i | −0.0435870 | − | 0.999050i | \(-0.513879\pi\) |
0.788519 | + | 0.615011i | \(0.210848\pi\) | |||||||
\(524\) | −1.20212 | − | 8.36094i | −0.0525149 | − | 0.365249i | ||||
\(525\) | −4.34791 | + | 3.03297i | −0.189758 | + | 0.132370i | ||||
\(526\) | 3.55914 | + | 4.10746i | 0.155186 | + | 0.179094i | ||||
\(527\) | −3.35866 | + | 13.8446i | −0.146306 | + | 0.603080i | ||||
\(528\) | −3.49048 | − | 6.04569i | −0.151904 | − | 0.263105i | ||||
\(529\) | −21.7877 | − | 7.36872i | −0.947289 | − | 0.320379i | ||||
\(530\) | 5.45839 | − | 9.45421i | 0.237097 | − | 0.410664i | ||||
\(531\) | 0.252448 | − | 0.0741254i | 0.0109553 | − | 0.00321677i | ||||
\(532\) | −4.02021 | + | 13.2157i | −0.174298 | + | 0.572974i | ||||
\(533\) | 16.8954 | − | 10.8580i | 0.731820 | − | 0.470312i | ||||
\(534\) | −1.53287 | − | 0.613667i | −0.0663336 | − | 0.0265560i | ||||
\(535\) | −2.25240 | + | 47.2838i | −0.0973799 | + | 2.04426i | ||||
\(536\) | −7.52597 | + | 0.718643i | −0.325072 | + | 0.0310406i | ||||
\(537\) | 3.05934 | + | 8.83937i | 0.132020 | + | 0.381447i | ||||
\(538\) | −0.0271644 | + | 0.188932i | −0.00117114 | + | 0.00814545i | ||||
\(539\) | 6.85570 | + | 12.4253i | 0.295296 | + | 0.535196i | ||||
\(540\) | −4.83921 | − | 1.42092i | −0.208246 | − | 0.0611466i | ||||
\(541\) | 26.8658 | − | 25.6164i | 1.15505 | − | 1.10134i | 0.161624 | − | 0.986852i | \(-0.448327\pi\) |
0.993425 | − | 0.114485i | \(-0.0365217\pi\) | |||||||
\(542\) | −1.07640 | + | 1.51159i | −0.0462352 | + | 0.0649282i | ||||
\(543\) | −0.332547 | + | 0.133132i | −0.0142710 | + | 0.00571323i | ||||
\(544\) | 2.75370 | + | 7.95630i | 0.118064 | + | 0.341123i | ||||
\(545\) | −11.1107 | + | 24.3291i | −0.475932 | + | 1.04215i | ||||
\(546\) | 0.0369476 | − | 3.80682i | 0.00158121 | − | 0.162917i | ||||
\(547\) | 1.94901 | + | 13.5557i | 0.0833337 | + | 0.579599i | 0.988114 | + | 0.153721i | \(0.0491256\pi\) |
−0.904781 | + | 0.425878i | \(0.859965\pi\) | |||||||
\(548\) | −0.962574 | − | 20.2069i | −0.0411191 | − | 0.863196i | ||||
\(549\) | −4.13750 | + | 11.9545i | −0.176584 | + | 0.510207i | ||||
\(550\) | −0.902476 | − | 0.860510i | −0.0384817 | − | 0.0366922i | ||||
\(551\) | −10.4601 | + | 18.1175i | −0.445617 | + | 0.771831i | ||||
\(552\) | 5.38045 | − | 2.02850i | 0.229007 | − | 0.0863386i | ||||
\(553\) | 16.7215 | − | 0.633958i | 0.711072 | − | 0.0269586i | ||||
\(554\) | 6.98361 | − | 2.05057i | 0.296705 | − | 0.0871205i | ||||
\(555\) | −22.1651 | + | 4.27198i | −0.940858 | + | 0.181335i | ||||
\(556\) | 33.5858 | + | 17.3147i | 1.42436 | + | 0.734306i | ||||
\(557\) | 20.2231 | − | 15.9036i | 0.856879 | − | 0.673857i | −0.0898265 | − | 0.995957i | \(-0.528631\pi\) |
0.946706 | + | 0.322100i | \(0.104389\pi\) | |||||||
\(558\) | −1.59516 | + | 0.822360i | −0.0675283 | + | 0.0348133i | ||||
\(559\) | −8.05369 | + | 17.6351i | −0.340635 | + | 0.745886i | ||||
\(560\) | −8.74334 | − | 22.4694i | −0.369474 | − | 0.949506i | ||||
\(561\) | −0.703064 | + | 4.88992i | −0.0296834 | + | 0.206453i | ||||
\(562\) | 5.60535 | + | 0.535246i | 0.236447 | + | 0.0225780i | ||||
\(563\) | 8.10697 | + | 33.4174i | 0.341668 | + | 1.40838i | 0.840563 | + | 0.541713i | \(0.182224\pi\) |
−0.498895 | + | 0.866662i | \(0.666261\pi\) | |||||||
\(564\) | −2.88184 | − | 11.8791i | −0.121347 | − | 0.500201i | ||||
\(565\) | 39.9217 | + | 3.81206i | 1.67952 | + | 0.160374i | ||||
\(566\) | −0.954693 | + | 6.64004i | −0.0401287 | + | 0.279102i | ||||
\(567\) | 0.959442 | + | 2.46566i | 0.0402928 | + | 0.103548i | ||||
\(568\) | −4.63122 | + | 10.1410i | −0.194322 | + | 0.425505i | ||||
\(569\) | −19.9185 | + | 10.2687i | −0.835027 | + | 0.430486i | −0.822040 | − | 0.569430i | \(-0.807164\pi\) |
−0.0129865 | + | 0.999916i | \(0.504134\pi\) | |||||||
\(570\) | −1.74950 | + | 1.37582i | −0.0732785 | + | 0.0576269i | ||||
\(571\) | 7.68873 | + | 3.96381i | 0.321763 | + | 0.165880i | 0.611539 | − | 0.791214i | \(-0.290551\pi\) |
−0.289776 | + | 0.957094i | \(0.593581\pi\) | |||||||
\(572\) | −17.7825 | + | 3.42730i | −0.743525 | + | 0.143303i | ||||
\(573\) | 3.65742 | − | 1.07391i | 0.152791 | − | 0.0448634i | ||||
\(574\) | 3.47746 | − | 0.131840i | 0.145146 | − | 0.00550288i | ||||
\(575\) | −7.67226 | + | 5.78581i | −0.319955 | + | 0.241285i | ||||
\(576\) | 2.91315 | − | 5.04573i | 0.121381 | − | 0.210239i | ||||
\(577\) | −13.7202 | − | 13.0822i | −0.571179 | − | 0.544618i | 0.348490 | − | 0.937312i | \(-0.386695\pi\) |
−0.919669 | + | 0.392694i | \(0.871543\pi\) | |||||||
\(578\) | −1.11064 | + | 3.20899i | −0.0461967 | + | 0.133477i | ||||
\(579\) | −0.481948 | − | 10.1173i | −0.0200291 | − | 0.420462i | ||||
\(580\) | −5.48100 | − | 38.1212i | −0.227586 | − | 1.58289i | ||||
\(581\) | 0.118386 | − | 12.1977i | 0.00491149 | − | 0.506045i | ||||
\(582\) | −0.109511 | + | 0.239796i | −0.00453938 | + | 0.00993985i | ||||
\(583\) | 8.91006 | + | 25.7439i | 0.369017 | + | 1.06620i | ||||
\(584\) | 8.55743 | − | 3.42588i | 0.354109 | − | 0.141764i | ||||
\(585\) | −7.19546 | + | 10.1046i | −0.297496 | + | 0.417774i | ||||
\(586\) | −1.96009 | + | 1.86894i | −0.0809705 | + | 0.0772052i | ||||
\(587\) | −9.99366 | − | 2.93440i | −0.412482 | − | 0.121116i | 0.0689060 | − | 0.997623i | \(-0.478049\pi\) |
−0.481388 | + | 0.876507i | \(0.659867\pi\) | |||||||
\(588\) | −6.89316 | + | 11.4214i | −0.284269 | + | 0.471012i | ||||
\(589\) | 2.27937 | − | 15.8533i | 0.0939197 | − | 0.653226i | ||||
\(590\) | 0.0699101 | + | 0.201992i | 0.00287815 | + | 0.00831587i | ||||
\(591\) | −6.15271 | + | 0.587512i | −0.253089 | + | 0.0241670i | ||||
\(592\) | 1.39754 | − | 29.3380i | 0.0574386 | − | 1.20578i | ||||
\(593\) | 3.29475 | + | 1.31902i | 0.135299 | + | 0.0541656i | 0.438324 | − | 0.898817i | \(-0.355572\pi\) |
−0.303025 | + | 0.952983i | \(0.597997\pi\) | |||||||
\(594\) | −0.523546 | + | 0.336463i | −0.0214814 | + | 0.0138052i | ||||
\(595\) | −4.96566 | + | 16.3237i | −0.203572 | + | 0.669207i | ||||
\(596\) | −3.58204 | + | 1.05178i | −0.146726 | + | 0.0430827i | ||||
\(597\) | 2.68525 | − | 4.65099i | 0.109900 | − | 0.190352i | ||||
\(598\) | −0.188606 | − | 6.89819i | −0.00771268 | − | 0.282088i | ||||
\(599\) | 17.2003 | + | 29.7918i | 0.702786 | + | 1.21726i | 0.967485 | + | 0.252930i | \(0.0813943\pi\) |
−0.264698 | + | 0.964331i | \(0.585272\pi\) | |||||||
\(600\) | 0.566385 | − | 2.33467i | 0.0231226 | − | 0.0953125i | ||||
\(601\) | 21.7251 | + | 25.0721i | 0.886186 | + | 1.02271i | 0.999575 | + | 0.0291629i | \(0.00928415\pi\) |
−0.113388 | + | 0.993551i | \(0.536170\pi\) | |||||||
\(602\) | −2.75516 | + | 1.92192i | −0.112292 | + | 0.0783316i | ||||
\(603\) | −0.897365 | − | 6.24131i | −0.0365435 | − | 0.254166i | ||||
\(604\) | 24.0312 | − | 12.3889i | 0.977816 | − | 0.504099i | ||||
\(605\) | −18.1515 | + | 1.73326i | −0.737964 | + | 0.0704670i | ||||
\(606\) | 1.04577 | + | 0.201557i | 0.0424817 | + | 0.00818768i | ||||
\(607\) | 22.2737 | + | 17.5162i | 0.904062 | + | 0.710962i | 0.957752 | − | 0.287595i | \(-0.0928558\pi\) |
−0.0536898 | + | 0.998558i | \(0.517098\pi\) | |||||||
\(608\) | −3.93212 | − | 8.61013i | −0.159468 | − | 0.349187i | ||||
\(609\) | −14.0832 | + | 14.4859i | −0.570682 | + | 0.587000i | ||||
\(610\) | −9.86084 | − | 2.89540i | −0.399254 | − | 0.117231i | ||||
\(611\) | −29.9286 | − | 2.85784i | −1.21078 | − | 0.115616i | ||||
\(612\) | −4.31136 | + | 1.72601i | −0.174276 | + | 0.0697698i | ||||
\(613\) | −32.3631 | − | 6.23749i | −1.30714 | − | 0.251930i | −0.512327 | − | 0.858790i | \(-0.671216\pi\) |
−0.794808 | + | 0.606861i | \(0.792429\pi\) | |||||||
\(614\) | −3.23489 | − | 4.54276i | −0.130549 | − | 0.183331i | ||||
\(615\) | −9.53907 | − | 6.13039i | −0.384652 | − | 0.247201i | ||||
\(616\) | −6.05666 | − | 2.16228i | −0.244030 | − | 0.0871207i | ||||
\(617\) | 10.2497 | − | 6.58711i | 0.412639 | − | 0.265187i | −0.317810 | − | 0.948155i | \(-0.602947\pi\) |
0.730449 | + | 0.682968i | \(0.239311\pi\) | |||||||
\(618\) | −4.61565 | + | 0.889593i | −0.185668 | + | 0.0357847i | ||||
\(619\) | 15.2585 | + | 14.5490i | 0.613291 | + | 0.584772i | 0.931721 | − | 0.363174i | \(-0.118307\pi\) |
−0.318430 | + | 0.947946i | \(0.603156\pi\) | |||||||
\(620\) | 14.7427 | + | 25.5350i | 0.592079 | + | 1.02551i | ||||
\(621\) | 1.90345 | + | 4.40192i | 0.0763829 | + | 0.176643i | ||||
\(622\) | 7.84629 | 0.314608 | ||||||||
\(623\) | 13.4925 | − | 4.52366i | 0.540566 | − | 0.181236i | ||||
\(624\) | −10.5699 | − | 12.1983i | −0.423133 | − | 0.488322i | ||||
\(625\) | −1.47521 | − | 30.9686i | −0.0590086 | − | 1.23874i | ||||
\(626\) | 3.52280 | − | 2.77036i | 0.140799 | − | 0.110726i | ||||
\(627\) | 0.264273 | − | 5.54776i | 0.0105540 | − | 0.221556i | ||||
\(628\) | 4.70787 | + | 6.61128i | 0.187864 | + | 0.263819i | ||||
\(629\) | −13.6114 | + | 15.7083i | −0.542720 | + | 0.626332i | ||||
\(630\) | −1.96375 | + | 0.873883i | −0.0782378 | + | 0.0348163i | ||||
\(631\) | 8.88594 | + | 19.4575i | 0.353744 | + | 0.774590i | 0.999935 | + | 0.0114149i | \(0.00363354\pi\) |
−0.646191 | + | 0.763175i | \(0.723639\pi\) | |||||||
\(632\) | −5.48823 | + | 5.23302i | −0.218310 | + | 0.208158i | ||||
\(633\) | −4.48823 | − | 18.5007i | −0.178391 | − | 0.735338i | ||||
\(634\) | −0.458312 | + | 0.643609i | −0.0182019 | + | 0.0255610i | ||||
\(635\) | 42.7696 | + | 33.6344i | 1.69726 | + | 1.33474i | ||||
\(636\) | −16.7703 | + | 19.3540i | −0.664986 | + | 0.767434i | ||||
\(637\) | 21.0015 | + | 25.2095i | 0.832108 | + | 0.998836i | ||||
\(638\) | −3.99790 | − | 2.56929i | −0.158278 | − | 0.101719i | ||||
\(639\) | −8.63215 | − | 3.45579i | −0.341482 | − | 0.136709i | ||||
\(640\) | 20.4614 | + | 10.5486i | 0.808809 | + | 0.416970i | ||||
\(641\) | −2.01525 | + | 5.82268i | −0.0795976 | + | 0.229982i | −0.977777 | − | 0.209646i | \(-0.932769\pi\) |
0.898180 | + | 0.439629i | \(0.144890\pi\) | |||||||
\(642\) | −1.29455 | + | 5.33620i | −0.0510917 | + | 0.210603i | ||||
\(643\) | −28.8960 | −1.13955 | −0.569774 | − | 0.821802i | \(-0.692969\pi\) | ||||
−0.569774 | + | 0.821802i | \(0.692969\pi\) | |||||||
\(644\) | −11.7197 | + | 21.1516i | −0.461820 | + | 0.833491i | ||||
\(645\) | 10.9459 | 0.430994 | ||||||||
\(646\) | −0.483161 | + | 1.99162i | −0.0190097 | + | 0.0783592i | ||||
\(647\) | 13.6848 | − | 39.5396i | 0.538004 | − | 1.55446i | −0.268529 | − | 0.963272i | \(-0.586538\pi\) |
0.806533 | − | 0.591189i | \(-0.201341\pi\) | |||||||
\(648\) | −1.06570 | − | 0.549408i | −0.0418647 | − | 0.0215828i | ||||
\(649\) | −0.495188 | − | 0.198243i | −0.0194378 | − | 0.00778173i | ||||
\(650\) | −2.42543 | − | 1.55873i | −0.0951333 | − | 0.0611384i | ||||
\(651\) | 5.88781 | − | 14.3031i | 0.230762 | − | 0.560584i | ||||
\(652\) | −12.9511 | + | 14.9464i | −0.507206 | + | 0.585347i | ||||
\(653\) | 28.1090 | + | 22.1052i | 1.09999 | + | 0.865042i | 0.991635 | − | 0.129070i | \(-0.0411992\pi\) |
0.108355 | + | 0.994112i | \(0.465442\pi\) | |||||||
\(654\) | −1.79960 | + | 2.52719i | −0.0703701 | + | 0.0988210i | ||||
\(655\) | 2.76542 | + | 11.3992i | 0.108054 | + | 0.445403i | ||||
\(656\) | 10.6780 | − | 10.1815i | 0.416907 | − | 0.397520i | ||||
\(657\) | 3.19368 | + | 6.99318i | 0.124597 | + | 0.272830i | ||||
\(658\) | −4.21395 | − | 3.06281i | −0.164277 | − | 0.119401i | ||||
\(659\) | 13.7473 | − | 15.8652i | 0.535518 | − | 0.618020i | −0.421929 | − | 0.906629i | \(-0.638647\pi\) |
0.957447 | + | 0.288608i | \(0.0931925\pi\) | |||||||
\(660\) | 5.93093 | + | 8.32882i | 0.230861 | + | 0.324199i | ||||
\(661\) | −2.23454 | + | 46.9089i | −0.0869137 | + | 1.82454i | 0.363356 | + | 0.931651i | \(0.381631\pi\) |
−0.450269 | + | 0.892893i | \(0.648672\pi\) | |||||||
\(662\) | 6.56014 | − | 5.15895i | 0.254967 | − | 0.200508i | ||||
\(663\) | 0.543491 | + | 11.4093i | 0.0211074 | + | 0.443099i | ||||
\(664\) | 3.62003 | + | 4.17774i | 0.140484 | + | 0.162128i | ||||
\(665\) | 3.81293 | − | 18.7996i | 0.147859 | − | 0.729018i | ||||
\(666\) | −2.61840 | −0.101461 | ||||||||
\(667\) | −24.5382 | + | 27.1853i | −0.950121 | + | 1.05262i | ||||
\(668\) | −8.48293 | − | 14.6929i | −0.328214 | − | 0.568484i | ||||
\(669\) | −1.64902 | − | 1.57233i | −0.0637547 | − | 0.0607900i | ||||
\(670\) | 5.03003 | − | 0.969459i | 0.194327 | − | 0.0374535i | ||||
\(671\) | 21.5748 | − | 13.8653i | 0.832886 | − | 0.535263i | ||||
\(672\) | −1.64279 | − | 8.99236i | −0.0633718 | − | 0.346888i | ||||
\(673\) | −30.8487 | − | 19.8252i | −1.18913 | − | 0.764206i | −0.212086 | − | 0.977251i | \(-0.568026\pi\) |
−0.977042 | + | 0.213045i | \(0.931662\pi\) | |||||||
\(674\) | −2.92758 | − | 4.11121i | −0.112766 | − | 0.158358i | ||||
\(675\) | 1.96747 | + | 0.379199i | 0.0757281 | + | 0.0145954i | ||||
\(676\) | −15.8720 | + | 6.35417i | −0.610460 | + | 0.244391i | ||||
\(677\) | 24.9118 | + | 2.37879i | 0.957438 | + | 0.0914242i | 0.562062 | − | 0.827095i | \(-0.310008\pi\) |
0.395376 | + | 0.918519i | \(0.370614\pi\) | |||||||
\(678\) | 4.46341 | + | 1.31057i | 0.171416 | + | 0.0503323i | ||||
\(679\) | −0.618920 | − | 2.18612i | −0.0237520 | − | 0.0838954i | ||||
\(680\) | −3.21207 | − | 7.03345i | −0.123177 | − | 0.269721i | ||||
\(681\) | −16.4812 | − | 12.9610i | −0.631562 | − | 0.496665i | ||||
\(682\) | 3.57258 | + | 0.688557i | 0.136801 | + | 0.0263662i | ||||
\(683\) | −34.6346 | + | 3.30720i | −1.32525 | + | 0.126546i | −0.733565 | − | 0.679619i | \(-0.762145\pi\) |
−0.591690 | + | 0.806166i | \(0.701539\pi\) | |||||||
\(684\) | 4.64067 | − | 2.39243i | 0.177441 | − | 0.0914770i | ||||
\(685\) | 3.99794 | + | 27.8063i | 0.152753 | + | 1.06242i | ||||
\(686\) | 0.912980 | + | 5.61154i | 0.0348577 | + | 0.214250i | ||||
\(687\) | −2.72918 | − | 3.14965i | −0.104125 | − | 0.120167i | ||||
\(688\) | −3.35777 | + | 13.8409i | −0.128014 | + | 0.527681i | ||||
\(689\) | 31.4933 | + | 54.5479i | 1.19980 | + | 2.07811i | ||||
\(690\) | −3.49850 | + | 1.71478i | −0.133186 | + | 0.0652805i | ||||
\(691\) | 6.67030 | − | 11.5533i | 0.253750 | − | 0.439508i | −0.710805 | − | 0.703389i | \(-0.751669\pi\) |
0.964555 | + | 0.263881i | \(0.0850025\pi\) | |||||||
\(692\) | 6.11793 | − | 1.79639i | 0.232569 | − | 0.0682884i | ||||
\(693\) | 1.56102 | − | 5.13157i | 0.0592982 | − | 0.194932i | ||||
\(694\) | −7.37236 | + | 4.73793i | −0.279851 | + | 0.179849i | ||||
\(695\) | −48.7134 | − | 19.5019i | −1.84781 | − | 0.739750i | ||||
\(696\) | 0.435645 | − | 9.14532i | 0.0165131 | − | 0.346653i | ||||
\(697\) | −10.3937 | + | 0.992478i | −0.393689 | + | 0.0375928i | ||||
\(698\) | −0.628230 | − | 1.81515i | −0.0237789 | − | 0.0687045i | ||||
\(699\) | 2.27800 | − | 15.8438i | 0.0861618 | − | 0.599269i | ||||
\(700\) | 4.54206 | + | 9.02434i | 0.171674 | + | 0.341088i | ||||
\(701\) | −16.2948 | − | 4.78458i | −0.615446 | − | 0.180711i | −0.0408725 | − | 0.999164i | \(-0.513014\pi\) |
−0.574573 | + | 0.818453i | \(0.694832\pi\) | |||||||
\(702\) | −1.04139 | + | 0.992961i | −0.0393046 | + | 0.0374769i | ||||
\(703\) | 13.5547 | − | 19.0348i | 0.511223 | − | 0.717913i | ||||
\(704\) | −10.9656 | + | 4.38997i | −0.413282 | + | 0.165453i | ||||
\(705\) | 5.55180 | + | 16.0409i | 0.209093 | + | 0.604135i | ||||
\(706\) | 3.81770 | − | 8.35961i | 0.143681 | − | 0.314618i | ||||
\(707\) | −7.99348 | + | 4.51217i | −0.300626 | + | 0.169698i | ||||
\(708\) | −0.0713591 | − | 0.496313i | −0.00268184 | − | 0.0186526i | ||||
\(709\) | 0.237908 | + | 4.99430i | 0.00893482 | + | 0.187565i | 0.998922 | + | 0.0464108i | \(0.0147783\pi\) |
−0.989988 | + | 0.141154i | \(0.954919\pi\) | |||||||
\(710\) | 2.47063 | − | 7.13843i | 0.0927212 | − | 0.267900i | ||||
\(711\) | −4.57739 | − | 4.36453i | −0.171665 | − | 0.163683i | ||||
\(712\) | −3.22448 | + | 5.58497i | −0.120843 | + | 0.209306i | ||||
\(713\) | 9.70514 | − | 26.3041i | 0.363460 | − | 0.985095i | ||||
\(714\) | −0.923937 | + | 1.75027i | −0.0345775 | + | 0.0655022i | ||||
\(715\) | 24.1296 | − | 7.08508i | 0.902395 | − | 0.264967i | ||||
\(716\) | 17.5040 | − | 3.37363i | 0.654156 | − | 0.126078i | ||||
\(717\) | −6.79081 | − | 3.50091i | −0.253608 | − | 0.130744i | ||||
\(718\) | −7.61669 | + | 5.98983i | −0.284252 | + | 0.223539i | ||||
\(719\) | −9.77427 | + | 5.03899i | −0.364519 | + | 0.187922i | −0.630749 | − | 0.775987i | \(-0.717252\pi\) |
0.266230 | + | 0.963909i | \(0.414222\pi\) | |||||||
\(720\) | −3.78565 | + | 8.28943i | −0.141083 | + | 0.308929i | ||||
\(721\) | 25.3513 | − | 31.6007i | 0.944131 | − | 1.17687i | ||||
\(722\) | −0.502166 | + | 3.49264i | −0.0186887 | + | 0.129983i | ||||
\(723\) | −25.2635 | − | 2.41237i | −0.939559 | − | 0.0897170i | ||||
\(724\) | 0.160942 | + | 0.663413i | 0.00598137 | + | 0.0246556i | ||||
\(725\) | 3.60723 | + | 14.8692i | 0.133969 | + | 0.552228i | ||||
\(726\) | −2.10551 | − | 0.201052i | −0.0781430 | − | 0.00746175i | ||||
\(727\) | 1.00020 | − | 6.95654i | 0.0370953 | − | 0.258004i | −0.962831 | − | 0.270103i | \(-0.912942\pi\) |
0.999927 | + | 0.0120991i | \(0.00385137\pi\) | |||||||
\(728\) | −14.6967 | − | 2.25885i | −0.544694 | − | 0.0837186i | ||||
\(729\) | 0.415415 | − | 0.909632i | 0.0153857 | − | 0.0336901i | ||||
\(730\) | −5.55139 | + | 2.86194i | −0.205466 | + | 0.105925i | ||||
\(731\) | 7.92254 | − | 6.23036i | 0.293026 | − | 0.230438i | ||||
\(732\) | 21.4285 | + | 11.0471i | 0.792018 | + | 0.408314i | ||||
\(733\) | 3.74821 | − | 0.722408i | 0.138443 | − | 0.0266828i | −0.119559 | − | 0.992827i | \(-0.538148\pi\) |
0.258002 | + | 0.966144i | \(0.416936\pi\) | |||||||
\(734\) | 1.55809 | − | 0.457496i | 0.0575101 | − | 0.0168865i | ||||
\(735\) | 8.02124 | − | 16.6985i | 0.295868 | − | 0.615934i | ||||
\(736\) | −3.57937 | − | 16.1786i | −0.131937 | − | 0.596351i | ||||
\(737\) | −6.39158 | + | 11.0705i | −0.235437 | + | 0.407789i | ||||
\(738\) | −0.951926 | − | 0.907660i | −0.0350409 | − | 0.0334114i | ||||
\(739\) | −6.47544 | + | 18.7096i | −0.238203 | + | 0.688242i | 0.761016 | + | 0.648733i | \(0.224701\pi\) |
−0.999219 | + | 0.0395093i | \(0.987421\pi\) | |||||||
\(740\) | 2.04692 | + | 42.9702i | 0.0752464 | + | 1.57962i | ||||
\(741\) | −1.82754 | − | 12.7108i | −0.0671362 | − | 0.466942i | ||||
\(742\) | −0.105921 | + | 10.9134i | −0.00388850 | + | 0.400643i | ||||
\(743\) | 0.899957 | − | 1.97063i | 0.0330162 | − | 0.0722954i | −0.892405 | − | 0.451235i | \(-0.850984\pi\) |
0.925422 | + | 0.378939i | \(0.123711\pi\) | |||||||
\(744\) | 2.29259 | + | 6.62399i | 0.0840503 | + | 0.242847i | ||||
\(745\) | 4.81286 | − | 1.92678i | 0.176330 | − | 0.0705917i | ||||
\(746\) | 0.837250 | − | 1.17575i | 0.0306539 | − | 0.0430474i | ||||
\(747\) | −3.33678 | + | 3.18162i | −0.122087 | + | 0.116409i | ||||
\(748\) | 9.03349 | + | 2.65247i | 0.330297 | + | 0.0969840i | ||||
\(749\) | −21.2763 | − | 42.2726i | −0.777419 | − | 1.54461i | ||||
\(750\) | 0.346425 | − | 2.40944i | 0.0126497 | − | 0.0879804i | ||||
\(751\) | −0.944812 | − | 2.72985i | −0.0344767 | − | 0.0996138i | 0.926449 | − | 0.376420i | \(-0.122845\pi\) |
−0.960926 | + | 0.276806i | \(0.910724\pi\) | |||||||
\(752\) | −21.9866 | + | 2.09946i | −0.801768 | + | 0.0765595i | ||||
\(753\) | −1.11013 | + | 23.3044i | −0.0404553 | + | 0.849261i | ||||
\(754\) | −10.2007 | − | 4.08375i | −0.371488 | − | 0.148721i | ||||
\(755\) | −31.5846 | + | 20.2982i | −1.14948 | + | 0.738726i | ||||
\(756\) | 4.91135 | − | 1.14113i | 0.178624 | − | 0.0415024i | ||||
\(757\) | −24.1513 | + | 7.09145i | −0.877793 | + | 0.257743i | −0.689427 | − | 0.724356i | \(-0.742137\pi\) |
−0.188366 | + | 0.982099i | \(0.560319\pi\) | |||||||
\(758\) | 1.06283 | − | 1.84088i | 0.0386038 | − | 0.0668638i | ||||
\(759\) | 2.48319 | − | 9.40017i | 0.0901341 | − | 0.341205i | ||||
\(760\) | 4.34649 | + | 7.52833i | 0.157664 | + | 0.273081i | ||||
\(761\) | −11.1021 | + | 45.7635i | −0.402451 | + | 1.65893i | 0.305143 | + | 0.952306i | \(0.401296\pi\) |
−0.707594 | + | 0.706619i | \(0.750220\pi\) | |||||||
\(762\) | 4.13311 | + | 4.76987i | 0.149727 | + | 0.172794i | ||||
\(763\) | −2.28326 | − | 26.6414i | −0.0826596 | − | 0.964485i | ||||
\(764\) | −1.03384 | − | 7.19049i | −0.0374029 | − | 0.260143i | ||||
\(765\) | 5.73205 | − | 2.95508i | 0.207243 | − | 0.106841i | ||||
\(766\) | −7.61224 | + | 0.726881i | −0.275042 | + | 0.0262633i | ||||
\(767\) | −1.21097 | − | 0.233396i | −0.0437258 | − | 0.00842745i | ||||
\(768\) | −7.06057 | − | 5.55249i | −0.254776 | − | 0.200358i | ||||
\(769\) | 6.86003 | + | 15.0214i | 0.247379 | + | 0.541684i | 0.992064 | − | 0.125731i | \(-0.0401278\pi\) |
−0.744685 | + | 0.667416i | \(0.767400\pi\) | |||||||
\(770\) | 4.22453 | + | 1.06838i | 0.152241 | + | 0.0385016i | ||||
\(771\) | −21.3780 | − | 6.27714i | −0.769909 | − | 0.226066i | ||||
\(772\) | −19.2157 | − | 1.83488i | −0.691589 | − | 0.0660387i | ||||
\(773\) | 44.7841 | − | 17.9289i | 1.61077 | − | 0.644856i | 0.620527 | − | 0.784185i | \(-0.286919\pi\) |
0.990246 | + | 0.139329i | \(0.0444946\pi\) | |||||||
\(774\) | 1.24674 | + | 0.240290i | 0.0448132 | + | 0.00863703i | ||||
\(775\) | −6.79474 | − | 9.54188i | −0.244074 | − | 0.342754i | ||||
\(776\) | 0.866180 | + | 0.556660i | 0.0310941 | + | 0.0199829i | ||||
\(777\) | 17.1977 | − | 14.6121i | 0.616965 | − | 0.524206i | ||||
\(778\) | 5.11433 | − | 3.28678i | 0.183357 | − | 0.117837i | ||||
\(779\) | 11.5262 | − | 2.22149i | 0.412969 | − | 0.0795933i | ||||
\(780\) | 17.1095 | + | 16.3138i | 0.612617 | + | 0.584129i | ||||
\(781\) | 9.42515 | + | 16.3248i | 0.337258 | + | 0.584149i | ||||
\(782\) | −1.55614 | + | 3.23248i | −0.0556475 | + | 0.115593i | ||||
\(783\) | 7.63619 | 0.272895 | ||||||||
\(784\) | 18.6544 | + | 15.2652i | 0.666230 | + | 0.545186i | ||||
\(785\) | −7.38069 | − | 8.51777i | −0.263428 | − | 0.304012i | ||||
\(786\) | 0.0647410 | + | 1.35908i | 0.00230923 | + | 0.0484768i | ||||
\(787\) | 13.4812 | − | 10.6018i | 0.480554 | − | 0.377912i | −0.348294 | − | 0.937385i | \(-0.613239\pi\) |
0.828848 | + | 0.559473i | \(0.188996\pi\) | |||||||
\(788\) | −0.560465 | + | 11.7656i | −0.0199657 | + | 0.419132i | ||||
\(789\) | 10.2697 | + | 14.4218i | 0.365611 | + | 0.513429i | ||||
\(790\) | 3.36480 | − | 3.88319i | 0.119714 | − | 0.138158i | ||||
\(791\) | −36.6295 | + | 16.3004i | −1.30240 | + | 0.579575i | ||||
\(792\) | 1.00976 | + | 2.21106i | 0.0358801 | + | 0.0785665i | ||||
\(793\) | 42.9145 | − | 40.9189i | 1.52394 | − | 1.45307i | ||||
\(794\) | 0.772177 | + | 3.18296i | 0.0274035 | + | 0.112959i | ||||
\(795\) | 20.6280 | − | 28.9679i | 0.731599 | − | 1.02739i | ||||
\(796\) | −8.04518 | − | 6.32680i | −0.285154 | − | 0.224248i | ||||
\(797\) | −14.0552 | + | 16.2206i | −0.497862 | + | 0.574563i | −0.947949 | − | 0.318421i | \(-0.896847\pi\) |
0.450087 | + | 0.892984i | \(0.351393\pi\) | |||||||
\(798\) | 0.846992 | − | 2.05758i | 0.0299832 | − | 0.0728376i | ||||
\(799\) | 13.1488 | + | 8.45020i | 0.465170 | + | 0.298946i | ||||
\(800\) | −6.42692 | − | 2.57295i | −0.227226 | − | 0.0909675i | ||||
\(801\) | −4.78076 | − | 2.46465i | −0.168920 | − | 0.0870843i | ||||
\(802\) | 0.173792 | − | 0.502139i | 0.00613681 | − | 0.0177312i | ||||
\(803\) | 3.67448 | − | 15.1464i | 0.129670 | − | 0.534506i | ||||
\(804\) | −12.0168 | −0.423799 | ||||||||
\(805\) | 13.4089 | − | 30.7863i | 0.472600 | − | 1.08507i | ||||
\(806\) | 8.41215 | 0.296305 | ||||||||
\(807\) | −0.146592 | + | 0.604259i | −0.00516027 | + | 0.0212709i | ||||
\(808\) | 1.36051 | − | 3.93094i | 0.0478626 | − | 0.138290i | ||||
\(809\) | −20.8589 | − | 10.7535i | −0.733360 | − | 0.378073i | 0.0507369 | − | 0.998712i | \(-0.483843\pi\) |
−0.784097 | + | 0.620639i | \(0.786873\pi\) | |||||||
\(810\) | 0.754209 | + | 0.301940i | 0.0265002 | + | 0.0106091i | ||||
\(811\) | 1.50320 | + | 0.966045i | 0.0527843 | + | 0.0339224i | 0.566767 | − | 0.823878i | \(-0.308194\pi\) |
−0.513983 | + | 0.857801i | \(0.671830\pi\) | |||||||
\(812\) | 23.5061 | + | 30.4950i | 0.824904 | + | 1.07016i | ||||
\(813\) | −3.95861 | + | 4.56847i | −0.138834 | + | 0.160223i | ||||
\(814\) | 4.17260 | + | 3.28137i | 0.146250 | + | 0.115012i | ||||
\(815\) | 15.9303 | − | 22.3710i | 0.558014 | − | 0.783621i | ||||
\(816\) | 1.97829 | + | 8.15460i | 0.0692538 | + | 0.285468i | ||||
\(817\) | −8.20082 | + | 7.81947i | −0.286910 | + | 0.273568i | ||||
\(818\) | 0.909523 | + | 1.99158i | 0.0318007 | + | 0.0696339i | ||||
\(819\) | 1.29860 | − | 12.3333i | 0.0453766 | − | 0.430961i | ||||
\(820\) | −14.1513 | + | 16.3315i | −0.494186 | + | 0.570321i | ||||
\(821\) | −10.4631 | − | 14.6934i | −0.365165 | − | 0.512803i | 0.590588 | − | 0.806973i | \(-0.298896\pi\) |
−0.955753 | + | 0.294171i | \(0.904957\pi\) | |||||||
\(822\) | −0.155051 | + | 3.25491i | −0.00540801 | + | 0.113528i | ||||
\(823\) | 25.4911 | − | 20.0464i | 0.888565 | − | 0.698775i | −0.0656673 | − | 0.997842i | \(-0.520918\pi\) |
0.954232 | + | 0.299066i | \(0.0966752\pi\) | |||||||
\(824\) | 0.873575 | + | 18.3386i | 0.0304324 | + | 0.638856i | ||||
\(825\) | −2.66010 | − | 3.06992i | −0.0926127 | − | 0.106881i | ||||
\(826\) | −0.160132 | − | 0.141499i | −0.00557169 | − | 0.00492338i | ||||
\(827\) | −17.1212 | −0.595364 | −0.297682 | − | 0.954665i | \(-0.596213\pi\) | ||||
−0.297682 | + | 0.954665i | \(0.596213\pi\) | |||||||
\(828\) | 8.81988 | − | 2.39672i | 0.306512 | − | 0.0832919i | ||||
\(829\) | 14.7626 | + | 25.5696i | 0.512726 | + | 0.888067i | 0.999891 | + | 0.0147576i | \(0.00469765\pi\) |
−0.487165 | + | 0.873310i | \(0.661969\pi\) | |||||||
\(830\) | −2.71081 | − | 2.58476i | −0.0940937 | − | 0.0897182i | ||||
\(831\) | 23.2814 | − | 4.48713i | 0.807624 | − | 0.155657i | ||||
\(832\) | −22.9744 | + | 14.7648i | −0.796495 | + | 0.511877i | ||||
\(833\) | −3.69902 | − | 16.6519i | −0.128164 | − | 0.576954i | ||||
\(834\) | −5.12036 | − | 3.29066i | −0.177304 | − | 0.113946i | ||||
\(835\) | 13.6660 | + | 19.1912i | 0.472931 | + | 0.664138i | ||||
\(836\) | −10.3934 | − | 2.00317i | −0.359465 | − | 0.0692811i | ||||
\(837\) | −5.42742 | + | 2.17281i | −0.187599 | + | 0.0751034i | ||||
\(838\) | 4.07586 | + | 0.389198i | 0.140798 | + | 0.0134446i | ||||
\(839\) | −9.48476 | − | 2.78498i | −0.327450 | − | 0.0961481i | 0.113875 | − | 0.993495i | \(-0.463674\pi\) |
−0.441326 | + | 0.897347i | \(0.645492\pi\) | |||||||
\(840\) | 2.28689 | + | 8.07763i | 0.0789052 | + | 0.278705i | ||||
\(841\) | 12.1764 | + | 26.6626i | 0.419876 | + | 0.919401i | ||||
\(842\) | 5.65006 | + | 4.44325i | 0.194714 | + | 0.153125i | ||||
\(843\) | 18.0113 | + | 3.47140i | 0.620342 | + | 0.119561i | ||||
\(844\) | −36.1164 | + | 3.44870i | −1.24318 | + | 0.118709i | ||||
\(845\) | 21.1021 | − | 10.8789i | 0.725934 | − | 0.374245i | ||||
\(846\) | 0.280215 | + | 1.94894i | 0.00963399 | + | 0.0670059i | ||||
\(847\) | 14.9511 | − | 10.4294i | 0.513725 | − | 0.358359i | ||||
\(848\) | 30.3017 | + | 34.9701i | 1.04057 | + | 1.20088i | ||||
\(849\) | −5.15197 | + | 21.2367i | −0.176815 | + | 0.728842i | ||||
\(850\) | 0.749432 | + | 1.29805i | 0.0257053 | + | 0.0445229i | ||||
\(851\) | 30.1713 | − | 27.6229i | 1.03426 | − | 0.946902i | ||||
\(852\) | −8.86008 | + | 15.3461i | −0.303541 | + | 0.525749i | ||||
\(853\) | 33.8947 | − | 9.95238i | 1.16053 | − | 0.340763i | 0.355893 | − | 0.934527i | \(-0.384177\pi\) |
0.804639 | + | 0.593764i | \(0.202359\pi\) | |||||||
\(854\) | 10.0078 | − | 2.32527i | 0.342462 | − | 0.0795691i | ||||
\(855\) | −6.09931 | + | 3.91979i | −0.208592 | + | 0.134054i | ||||
\(856\) | 19.9102 | + | 7.97084i | 0.680517 | + | 0.272438i | ||||
\(857\) | −1.85375 | + | 38.9149i | −0.0633228 | + | 1.32931i | 0.713973 | + | 0.700174i | \(0.246894\pi\) |
−0.777295 | + | 0.629136i | \(0.783409\pi\) | |||||||
\(858\) | 2.90390 | − | 0.277289i | 0.0991376 | − | 0.00946649i | ||||
\(859\) | 7.93514 | + | 22.9271i | 0.270743 | + | 0.782262i | 0.995629 | + | 0.0933929i | \(0.0297713\pi\) |
−0.724886 | + | 0.688869i | \(0.758108\pi\) | |||||||
\(860\) | 2.96873 | − | 20.6479i | 0.101233 | − | 0.704089i | ||||
\(861\) | 11.3175 | + | 0.649264i | 0.385700 | + | 0.0221269i | ||||
\(862\) | 7.38648 | + | 2.16887i | 0.251585 | + | 0.0738719i | ||||
\(863\) | −8.29736 | + | 7.91152i | −0.282445 | + | 0.269311i | −0.818037 | − | 0.575166i | \(-0.804937\pi\) |
0.535591 | + | 0.844477i | \(0.320089\pi\) | |||||||
\(864\) | −2.00412 | + | 2.81440i | −0.0681816 | + | 0.0957477i | ||||
\(865\) | −8.22010 | + | 3.29083i | −0.279492 | + | 0.111892i | ||||
\(866\) | −4.08367 | − | 11.7990i | −0.138769 | − | 0.400946i | ||||
\(867\) | −4.59526 | + | 10.0622i | −0.156063 | + | 0.341731i | ||||
\(868\) | −25.3841 | − | 14.9858i | −0.861592 | − | 0.508653i | ||||
\(869\) | 1.82477 | + | 12.6916i | 0.0619011 | + | 0.430532i | ||||
\(870\) | 0.295182 | + | 6.19664i | 0.0100076 | + | 0.210086i | ||||
\(871\) | −9.66678 | + | 27.9303i | −0.327546 | + | 0.946383i | ||||
\(872\) | 8.76983 | + | 8.36202i | 0.296984 | + | 0.283174i | ||||
\(873\) | −0.429375 | + | 0.743700i | −0.0145322 | + | 0.0251704i | ||||
\(874\) | 1.39614 | − | 3.78398i | 0.0472250 | − | 0.127995i | ||||
\(875\) | 11.1707 | + | 17.7585i | 0.377638 | + | 0.600348i | ||||
\(876\) | 14.0579 | − | 4.12776i | 0.474971 | − | 0.139464i | ||||
\(877\) | −20.6511 | + | 3.98017i | −0.697337 | + | 0.134401i | −0.525587 | − | 0.850740i | \(-0.676154\pi\) |
−0.171750 | + | 0.985141i | \(0.554942\pi\) | |||||||
\(878\) | 3.96453 | + | 2.04386i | 0.133796 | + | 0.0689768i | ||||
\(879\) | −6.93490 | + | 5.45367i | −0.233908 | + | 0.183948i | ||||
\(880\) | 16.4210 | − | 8.46562i | 0.553552 | − | 0.285376i | ||||
\(881\) | 11.1323 | − | 24.3763i | 0.375057 | − | 0.821259i | −0.624145 | − | 0.781308i | \(-0.714553\pi\) |
0.999202 | − | 0.0399509i | \(-0.0127201\pi\) | |||||||
\(882\) | 1.28020 | − | 1.72588i | 0.0431064 | − | 0.0581134i | ||||
\(883\) | 2.68729 | − | 18.6905i | 0.0904345 | − | 0.628986i | −0.893314 | − | 0.449433i | \(-0.851626\pi\) |
0.983748 | − | 0.179553i | \(-0.0574650\pi\) | |||||||
\(884\) | 21.6695 | + | 2.06918i | 0.728823 | + | 0.0695942i | ||||
\(885\) | 0.164158 | + | 0.676667i | 0.00551810 | + | 0.0227459i | ||||
\(886\) | 1.46175 | + | 6.02543i | 0.0491086 | + | 0.202428i | ||||
\(887\) | 0.779227 | + | 0.0744071i | 0.0261639 | + | 0.00249835i | 0.108130 | − | 0.994137i | \(-0.465514\pi\) |
−0.0819659 | + | 0.996635i | \(0.526120\pi\) | |||||||
\(888\) | −1.45543 | + | 10.1227i | −0.0488411 | + | 0.339697i | ||||
\(889\) | −53.7649 | − | 8.26358i | −1.80322 | − | 0.277152i | ||||
\(890\) | 1.81522 | − | 3.97478i | 0.0608463 | − | 0.133235i | ||||
\(891\) | −1.80194 | + | 0.928966i | −0.0603674 | + | 0.0311215i | ||||
\(892\) | −3.41324 | + | 2.68420i | −0.114284 | + | 0.0898738i | ||||
\(893\) | −15.6187 | − | 8.05200i | −0.522660 | − | 0.269450i | ||||
\(894\) | 0.590484 | − | 0.113807i | 0.0197487 | − | 0.00380626i | ||||
\(895\) | −23.7517 | + | 6.97412i | −0.793931 | + | 0.233119i | ||||
\(896\) | −22.9979 | + | 0.871913i | −0.768306 | + | 0.0291286i | ||||
\(897\) | 1.52441 | − | 22.4279i | 0.0508986 | − | 0.748845i | ||||
\(898\) | 1.09923 | − | 1.90392i | 0.0366817 | − | 0.0635346i | ||||
\(899\) | −32.3094 | − | 30.8070i | −1.07758 | − | 1.02747i | ||||
\(900\) | 1.24892 | − | 3.60853i | 0.0416308 | − | 0.120284i | ||||
\(901\) | −1.55808 | − | 32.7081i | −0.0519072 | − | 1.08967i | ||||
\(902\) | 0.379485 | + | 2.63937i | 0.0126355 | + | 0.0878815i | ||||
\(903\) | −9.52958 | + | 5.37927i | −0.317124 | + | 0.179011i | ||||
\(904\) | 7.54767 | − | 16.5271i | 0.251032 | − | 0.549683i | ||||
\(905\) | −0.310052 | − | 0.895836i | −0.0103065 | − | 0.0297786i | ||||
\(906\) | −4.04309 | + | 1.61861i | −0.134323 | + | 0.0537747i | ||||
\(907\) | −25.2635 | + | 35.4776i | −0.838860 | + | 1.17801i | 0.143247 | + | 0.989687i | \(0.454246\pi\) |
−0.982106 | + | 0.188327i | \(0.939694\pi\) | |||||||
\(908\) | −28.9191 | + | 27.5744i | −0.959716 | + | 0.915087i | ||||
\(909\) | 3.32883 | + | 0.977433i | 0.110410 | + | 0.0324194i | ||||
\(910\) | 10.0585 | + | 0.577035i | 0.333435 | + | 0.0191285i | ||||
\(911\) | −2.54349 | + | 17.6903i | −0.0842695 | + | 0.586107i | 0.903310 | + | 0.428988i | \(0.141130\pi\) |
−0.987580 | + | 0.157119i | \(0.949779\pi\) | |||||||
\(912\) | −3.08549 | − | 8.91494i | −0.102171 | − | 0.295203i | ||||
\(913\) | 9.30460 | − | 0.888481i | 0.307937 | − | 0.0294044i | ||||
\(914\) | 0.404094 | − | 8.48297i | 0.0133662 | − | 0.280592i | ||||
\(915\) | −31.0802 | − | 12.4426i | −1.02748 | − | 0.411341i | ||||
\(916\) | −6.68159 | + | 4.29400i | −0.220766 | + | 0.141878i | ||||
\(917\) | −8.00964 | − | 8.56519i | −0.264502 | − | 0.282848i | ||||
\(918\) | 0.717754 | − | 0.210751i | 0.0236894 | − | 0.00695583i | ||||
\(919\) | 5.12792 | − | 8.88182i | 0.169155 | − | 0.292984i | −0.768968 | − | 0.639287i | \(-0.779230\pi\) |
0.938123 | + | 0.346303i | \(0.112563\pi\) | |||||||
\(920\) | 4.68471 | + | 14.4784i | 0.154450 | + | 0.477339i | ||||
\(921\) | −9.08343 | − | 15.7330i | −0.299309 | − | 0.518419i | ||||
\(922\) | −1.84201 | + | 7.59288i | −0.0606635 | + | 0.250058i | ||||
\(923\) | 28.5412 | + | 32.9383i | 0.939446 | + | 1.08418i | ||||
\(924\) | −9.25665 | − | 4.33643i | −0.304521 | − | 0.142658i | ||||
\(925\) | −2.43224 | − | 16.9166i | −0.0799715 | − | 0.556214i | ||||
\(926\) | 3.87171 | − | 1.99601i | 0.127232 | − | 0.0655928i | ||||
\(927\) | −15.2431 | + | 1.45554i | −0.500649 | + | 0.0478062i | ||||
\(928\) | −25.9066 | − | 4.99309i | −0.850426 | − | 0.163906i | ||||
\(929\) | −24.8386 | − | 19.5333i | −0.814929 | − | 0.640867i | 0.121159 | − | 0.992633i | \(-0.461339\pi\) |
−0.936088 | + | 0.351766i | \(0.885581\pi\) | |||||||
\(930\) | −1.97300 | − | 4.32027i | −0.0646972 | − | 0.141667i | ||||
\(931\) | 5.91937 | + | 18.2409i | 0.193999 | + | 0.597823i | ||||
\(932\) | −29.2694 | − | 8.59428i | −0.958752 | − | 0.281515i | ||||
\(933\) | 25.4440 | + | 2.42961i | 0.832999 | + | 0.0795417i | ||||
\(934\) | −0.895144 | + | 0.358361i | −0.0292900 | + | 0.0117259i | ||||
\(935\) | −12.8377 | − | 2.47427i | −0.419838 | − | 0.0809172i | ||||
\(936\) | 3.25994 | + | 4.57795i | 0.106555 | + | 0.149635i | ||||
\(937\) | 20.2745 | + | 13.0296i | 0.662339 | + | 0.425659i | 0.828156 | − | 0.560497i | \(-0.189390\pi\) |
−0.165817 | + | 0.986156i | \(0.553026\pi\) | |||||||
\(938\) | −3.90275 | + | 3.31599i | −0.127429 | + | 0.108271i | ||||
\(939\) | 12.2816 | − | 7.89289i | 0.400794 | − | 0.257575i | ||||
\(940\) | 31.7647 | − | 6.12215i | 1.03605 | − | 0.199682i | ||||
\(941\) | −29.7199 | − | 28.3379i | −0.968842 | − | 0.923789i | 0.0282806 | − | 0.999600i | \(-0.490997\pi\) |
−0.997122 | + | 0.0758114i | \(0.975845\pi\) | |||||||
\(942\) | −0.653677 | − | 1.13220i | −0.0212979 | − | 0.0368891i | ||||
\(943\) | 20.5443 | + | 0.416393i | 0.669014 | + | 0.0135596i | ||||
\(944\) | −0.905995 | −0.0294876 | ||||||||
\(945\) | −6.63866 | + | 2.22575i | −0.215956 | + | 0.0724038i | ||||
\(946\) | −1.68564 | − | 1.94533i | −0.0548049 | − | 0.0632482i | ||||
\(947\) | −1.71279 | − | 35.9559i | −0.0556582 | − | 1.16841i | −0.838040 | − | 0.545609i | \(-0.816298\pi\) |
0.782381 | − | 0.622800i | \(-0.214005\pi\) | |||||||
\(948\) | −9.47458 | + | 7.45089i | −0.307720 | + | 0.241994i | ||||
\(949\) | 1.71465 | − | 35.9949i | 0.0556599 | − | 1.16845i | ||||
\(950\) | −0.977459 | − | 1.37265i | −0.0317130 | − | 0.0445346i | ||||
\(951\) | −1.68551 | + | 1.94518i | −0.0546564 | + | 0.0630768i | ||||
\(952\) | 6.25299 | + | 4.54483i | 0.202661 | + | 0.147299i | ||||
\(953\) | 6.16713 | + | 13.5041i | 0.199773 | + | 0.437442i | 0.982831 | − | 0.184507i | \(-0.0590687\pi\) |
−0.783058 | + | 0.621948i | \(0.786341\pi\) | |||||||
\(954\) | 2.98545 | − | 2.84662i | 0.0966576 | − | 0.0921628i | ||||
\(955\) | 2.37829 | + | 9.80343i | 0.0769595 | + | 0.317232i | ||||
\(956\) | −8.44579 | + | 11.8605i | −0.273156 | + | 0.383594i | ||||
\(957\) | −12.1688 | − | 9.56966i | −0.393362 | − | 0.309343i | ||||
\(958\) | 4.29570 | − | 4.95750i | 0.138788 | − | 0.160170i | ||||
\(959\) | −17.1458 | − | 22.2436i | −0.553668 | − | 0.718284i | ||||
\(960\) | 12.9713 | + | 8.33614i | 0.418647 | + | 0.269048i | ||||
\(961\) | 2.95036 | + | 1.18115i | 0.0951730 | + | 0.0381015i | ||||
\(962\) | 10.9089 | + | 5.62394i | 0.351718 | + | 0.181323i | ||||
\(963\) | −5.85031 | + | 16.9034i | −0.188524 | + | 0.544704i | ||||
\(964\) | −11.4025 | + | 47.0019i | −0.367251 | + | 1.51383i | ||||
\(965\) | 26.8054 | 0.862895 | ||||||||
\(966\) | 2.20311 | − | 3.21221i | 0.0708839 | − | 0.103351i | ||||
\(967\) | 44.4167 | 1.42834 | 0.714172 | − | 0.699970i | \(-0.246803\pi\) | ||||
0.714172 | + | 0.699970i | \(0.246803\pi\) | |||||||
\(968\) | −1.94762 | + | 8.02818i | −0.0625988 | + | 0.258036i | ||||
\(969\) | −2.18350 | + | 6.30882i | −0.0701442 | + | 0.202668i | ||||
\(970\) | −0.620098 | − | 0.319682i | −0.0199101 | − | 0.0102644i | ||||
\(971\) | −37.3140 | − | 14.9383i | −1.19746 | − | 0.479392i | −0.314692 | − | 0.949194i | \(-0.601901\pi\) |
−0.882772 | + | 0.469801i | \(0.844325\pi\) | |||||||
\(972\) | −1.60323 | − | 1.03033i | −0.0514236 | − | 0.0330480i | ||||
\(973\) | 51.9944 | − | 6.96131i | 1.66686 | − | 0.223169i | ||||
\(974\) | −5.87733 | + | 6.78280i | −0.188322 | + | 0.217335i | ||||
\(975\) | −7.38254 | − | 5.80569i | −0.236430 | − | 0.185931i | ||||
\(976\) | 25.2677 | − | 35.4836i | 0.808801 | − | 1.13580i | ||||
\(977\) | −9.54594 | − | 39.3489i | −0.305402 | − | 1.25888i | −0.893121 | − | 0.449817i | \(-0.851489\pi\) |
0.587719 | − | 0.809065i | \(-0.300026\pi\) | |||||||
\(978\) | 2.30557 | − | 2.19835i | 0.0737239 | − | 0.0702956i | ||||
\(979\) | 4.52978 | + | 9.91884i | 0.144773 | + | 0.317008i | ||||
\(980\) | −29.3240 | − | 19.6599i | −0.936721 | − | 0.628014i | ||||
\(981\) | −6.61831 | + | 7.63793i | −0.211306 | + | 0.243860i | ||||
\(982\) | 0.363402 | + | 0.510327i | 0.0115966 | + | 0.0162852i | ||||
\(983\) | 2.65724 | − | 55.7823i | 0.0847528 | − | 1.77918i | −0.411898 | − | 0.911230i | \(-0.635134\pi\) |
0.496651 | − | 0.867950i | \(-0.334563\pi\) | |||||||
\(984\) | −4.03815 | + | 3.17564i | −0.128731 | + | 0.101236i | ||||
\(985\) | −0.778292 | − | 16.3384i | −0.0247984 | − | 0.520583i | ||||
\(986\) | 3.74076 | + | 4.31706i | 0.119130 | + | 0.137483i | ||||
\(987\) | −12.7166 | − | 11.2369i | −0.404774 | − | 0.357676i | ||||
\(988\) | −24.4729 | −0.778585 | ||||||||
\(989\) | −16.9009 | + | 10.3837i | −0.537417 | + | 0.330184i | ||||
\(990\) | −0.823496 | − | 1.42634i | −0.0261724 | − | 0.0453319i | ||||
\(991\) | 40.7423 | + | 38.8477i | 1.29422 | + | 1.23404i | 0.956136 | + | 0.292924i | \(0.0946283\pi\) |
0.338087 | + | 0.941115i | \(0.390220\pi\) | |||||||
\(992\) | 19.8338 | − | 3.82266i | 0.629725 | − | 0.121370i | ||||
\(993\) | 22.8707 | − | 14.6981i | 0.725780 | − | 0.466431i | ||||
\(994\) | 1.35717 | + | 7.42895i | 0.0430468 | + | 0.235632i | ||||
\(995\) | 11.9565 | + | 7.68399i | 0.379047 | + | 0.243599i | ||||
\(996\) | 5.09670 | + | 7.15731i | 0.161495 | + | 0.226788i | ||||
\(997\) | −3.01123 | − | 0.580367i | −0.0953667 | − | 0.0183804i | 0.141345 | − | 0.989960i | \(-0.454857\pi\) |
−0.236711 | + | 0.971580i | \(0.576070\pi\) | |||||||
\(998\) | −7.38058 | + | 2.95474i | −0.233628 | + | 0.0935306i | ||||
\(999\) | −8.49095 | − | 0.810787i | −0.268642 | − | 0.0256522i |
(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 | 483.2.y.b.331.7 | yes | 320 | |
7.4 | even | 3 | inner | 483.2.y.b.193.7 | ✓ | 320 | |
23.18 | even | 11 | inner | 483.2.y.b.478.7 | yes | 320 | |
161.18 | even | 33 | inner | 483.2.y.b.340.7 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.b.193.7 | ✓ | 320 | 7.4 | even | 3 | inner | |
483.2.y.b.331.7 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.y.b.340.7 | yes | 320 | 161.18 | even | 33 | inner | |
483.2.y.b.478.7 | yes | 320 | 23.18 | even | 11 | inner |