Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(146,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.146");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bn (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 146.7 | ||
Character | \(\chi\) | \(=\) | 273.146 |
Dual form | 273.2.bn.c.230.7 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.43804 | + | 0.830256i | −1.01685 | + | 0.587079i | −0.913190 | − | 0.407533i | \(-0.866389\pi\) |
−0.103661 | + | 0.994613i | \(0.533056\pi\) | |||||||
\(3\) | −1.23680 | + | 1.21257i | −0.714065 | + | 0.700080i | ||||
\(4\) | 0.378649 | − | 0.655839i | 0.189324 | − | 0.327919i | ||||
\(5\) | −1.88889 | −0.844738 | −0.422369 | − | 0.906424i | \(-0.638801\pi\) | ||||
−0.422369 | + | 0.906424i | \(0.638801\pi\) | |||||||
\(6\) | 0.771823 | − | 2.77059i | 0.315095 | − | 1.13109i | ||||
\(7\) | 0.896028 | − | 2.48940i | 0.338667 | − | 0.940906i | ||||
\(8\) | − | 2.06352i | − | 0.729565i | ||||||
\(9\) | 0.0593312 | − | 2.99941i | 0.0197771 | − | 0.999804i | ||||
\(10\) | 2.71631 | − | 1.56826i | 0.858973 | − | 0.495928i | ||||
\(11\) | −1.52869 | + | 0.882590i | −0.460918 | + | 0.266111i | −0.712430 | − | 0.701743i | \(-0.752405\pi\) |
0.251512 | + | 0.967854i | \(0.419072\pi\) | |||||||
\(12\) | 0.326941 | + | 1.27028i | 0.0943798 | + | 0.366698i | ||||
\(13\) | 3.51996 | + | 0.780953i | 0.976261 | + | 0.216597i | ||||
\(14\) | 0.778314 | + | 4.32381i | 0.208013 | + | 1.15559i | ||||
\(15\) | 2.33618 | − | 2.29042i | 0.603198 | − | 0.591384i | ||||
\(16\) | 2.47055 | + | 4.27911i | 0.617637 | + | 1.06978i | ||||
\(17\) | −1.02971 | + | 1.78351i | −0.249741 | + | 0.432565i | −0.963454 | − | 0.267874i | \(-0.913679\pi\) |
0.713713 | + | 0.700439i | \(0.247012\pi\) | |||||||
\(18\) | 2.40496 | + | 4.36255i | 0.566854 | + | 1.02826i | ||||
\(19\) | −1.72776 | − | 0.997525i | −0.396376 | − | 0.228848i | 0.288543 | − | 0.957467i | \(-0.406829\pi\) |
−0.684919 | + | 0.728619i | \(0.740163\pi\) | |||||||
\(20\) | −0.715226 | + | 1.23881i | −0.159929 | + | 0.277006i | ||||
\(21\) | 1.91038 | + | 4.16539i | 0.416879 | + | 0.908962i | ||||
\(22\) | 1.46555 | − | 2.53841i | 0.312457 | − | 0.541191i | ||||
\(23\) | 4.43873 | − | 2.56270i | 0.925538 | − | 0.534360i | 0.0401406 | − | 0.999194i | \(-0.487219\pi\) |
0.885398 | + | 0.464834i | \(0.153886\pi\) | |||||||
\(24\) | 2.50217 | + | 2.55216i | 0.510754 | + | 0.520957i | ||||
\(25\) | −1.43208 | −0.286417 | ||||||||
\(26\) | −5.71025 | + | 1.79942i | −1.11987 | + | 0.352895i | ||||
\(27\) | 3.56363 | + | 3.78161i | 0.685821 | + | 0.727771i | ||||
\(28\) | −1.29337 | − | 1.53026i | −0.244424 | − | 0.289192i | ||||
\(29\) | 7.27489 | − | 4.20016i | 1.35091 | − | 0.779950i | 0.362536 | − | 0.931970i | \(-0.381911\pi\) |
0.988377 | + | 0.152020i | \(0.0485778\pi\) | |||||||
\(30\) | −1.45789 | + | 5.23335i | −0.266173 | + | 0.955475i | ||||
\(31\) | − | 8.13951i | − | 1.46190i | −0.682431 | − | 0.730950i | \(-0.739077\pi\) | ||
0.682431 | − | 0.730950i | \(-0.260923\pi\) | |||||||
\(32\) | −3.53139 | − | 2.03885i | −0.624268 | − | 0.360421i | ||||
\(33\) | 0.820474 | − | 2.94523i | 0.142826 | − | 0.512700i | ||||
\(34\) | − | 3.41969i | − | 0.586472i | ||||||
\(35\) | −1.69250 | + | 4.70222i | −0.286085 | + | 0.794820i | ||||
\(36\) | −1.94467 | − | 1.17464i | −0.324111 | − | 0.195773i | ||||
\(37\) | 2.24827 | + | 3.89412i | 0.369614 | + | 0.640190i | 0.989505 | − | 0.144498i | \(-0.0461567\pi\) |
−0.619891 | + | 0.784688i | \(0.712823\pi\) | |||||||
\(38\) | 3.31280 | 0.537407 | ||||||||
\(39\) | −5.30044 | + | 3.30233i | −0.848749 | + | 0.528796i | ||||
\(40\) | 3.89777i | 0.616292i | ||||||||
\(41\) | −4.68779 | − | 8.11949i | −0.732109 | − | 1.26805i | −0.955980 | − | 0.293432i | \(-0.905203\pi\) |
0.223871 | − | 0.974619i | \(-0.428131\pi\) | |||||||
\(42\) | −6.20555 | − | 4.40391i | −0.957537 | − | 0.679538i | ||||
\(43\) | 2.05277 | − | 3.55550i | 0.313044 | − | 0.542209i | −0.665975 | − | 0.745974i | \(-0.731984\pi\) |
0.979020 | + | 0.203765i | \(0.0653178\pi\) | |||||||
\(44\) | 1.33677i | 0.201525i | ||||||||
\(45\) | −0.112070 | + | 5.66557i | −0.0167064 | + | 0.844573i | ||||
\(46\) | −4.25539 | + | 7.37055i | −0.627423 | + | 1.08673i | ||||
\(47\) | 8.61967 | 1.25731 | 0.628654 | − | 0.777685i | \(-0.283606\pi\) | ||||
0.628654 | + | 0.777685i | \(0.283606\pi\) | |||||||
\(48\) | −8.24430 | − | 2.29667i | −1.18996 | − | 0.331496i | ||||
\(49\) | −5.39427 | − | 4.46115i | −0.770610 | − | 0.637307i | ||||
\(50\) | 2.05940 | − | 1.18900i | 0.291243 | − | 0.168149i | ||||
\(51\) | −0.889095 | − | 3.45444i | −0.124498 | − | 0.483718i | ||||
\(52\) | 1.84501 | − | 2.01282i | 0.255856 | − | 0.279128i | ||||
\(53\) | 6.33510i | 0.870192i | 0.900384 | + | 0.435096i | \(0.143286\pi\) | ||||
−0.900384 | + | 0.435096i | \(0.856714\pi\) | |||||||
\(54\) | −8.26436 | − | 2.47940i | −1.12464 | − | 0.337403i | ||||
\(55\) | 2.88753 | − | 1.66712i | 0.389355 | − | 0.224794i | ||||
\(56\) | −5.13694 | − | 1.84897i | −0.686453 | − | 0.247079i | ||||
\(57\) | 3.34646 | − | 0.861305i | 0.443250 | − | 0.114083i | ||||
\(58\) | −6.97441 | + | 12.0800i | −0.915785 | + | 1.58619i | ||||
\(59\) | 7.51654 | − | 13.0190i | 0.978570 | − | 1.69493i | 0.310958 | − | 0.950424i | \(-0.399350\pi\) |
0.667612 | − | 0.744509i | \(-0.267316\pi\) | |||||||
\(60\) | −0.617557 | − | 2.39942i | −0.0797262 | − | 0.309764i | ||||
\(61\) | −1.61214 | − | 0.930768i | −0.206413 | − | 0.119173i | 0.393230 | − | 0.919440i | \(-0.371358\pi\) |
−0.599643 | + | 0.800267i | \(0.704691\pi\) | |||||||
\(62\) | 6.75788 | + | 11.7050i | 0.858251 | + | 1.48653i | ||||
\(63\) | −7.41359 | − | 2.83526i | −0.934025 | − | 0.357209i | ||||
\(64\) | −3.11113 | −0.388891 | ||||||||
\(65\) | −6.64883 | − | 1.47514i | −0.824685 | − | 0.182968i | ||||
\(66\) | 1.26542 | + | 4.91658i | 0.155762 | + | 0.605190i | ||||
\(67\) | −1.79822 | − | 3.11462i | −0.219688 | − | 0.380511i | 0.735024 | − | 0.678041i | \(-0.237171\pi\) |
−0.954713 | + | 0.297530i | \(0.903837\pi\) | |||||||
\(68\) | 0.779796 | + | 1.35065i | 0.0945642 | + | 0.163790i | ||||
\(69\) | −2.38234 | + | 8.55182i | −0.286800 | + | 1.02952i | ||||
\(70\) | −1.47015 | − | 8.16721i | −0.175717 | − | 0.976168i | ||||
\(71\) | −7.21819 | − | 4.16742i | −0.856641 | − | 0.494582i | 0.00624484 | − | 0.999981i | \(-0.498012\pi\) |
−0.862886 | + | 0.505398i | \(0.831346\pi\) | |||||||
\(72\) | −6.18936 | − | 0.122431i | −0.729423 | − | 0.0144286i | ||||
\(73\) | − | 1.58244i | − | 0.185210i | −0.995703 | − | 0.0926051i | \(-0.970481\pi\) | ||
0.995703 | − | 0.0926051i | \(-0.0295194\pi\) | |||||||
\(74\) | −6.46623 | − | 3.73328i | −0.751684 | − | 0.433985i | ||||
\(75\) | 1.77120 | − | 1.73651i | 0.204520 | − | 0.200515i | ||||
\(76\) | −1.30843 | + | 0.755423i | −0.150087 | + | 0.0866529i | ||||
\(77\) | 0.827374 | + | 4.59636i | 0.0942881 | + | 0.523803i | ||||
\(78\) | 4.88049 | − | 9.14961i | 0.552606 | − | 1.03599i | ||||
\(79\) | −3.51118 | −0.395039 | −0.197519 | − | 0.980299i | \(-0.563289\pi\) | ||||
−0.197519 | + | 0.980299i | \(0.563289\pi\) | |||||||
\(80\) | −4.66660 | − | 8.08279i | −0.521742 | − | 0.903683i | ||||
\(81\) | −8.99296 | − | 0.355917i | −0.999218 | − | 0.0395464i | ||||
\(82\) | 13.4825 | + | 7.78412i | 1.48889 | + | 0.859613i | ||||
\(83\) | −5.69977 | −0.625631 | −0.312815 | − | 0.949814i | \(-0.601272\pi\) | ||||
−0.312815 | + | 0.949814i | \(0.601272\pi\) | |||||||
\(84\) | 3.45518 | + | 0.324315i | 0.376991 | + | 0.0353857i | ||||
\(85\) | 1.94501 | − | 3.36886i | 0.210966 | − | 0.365404i | ||||
\(86\) | 6.81729i | 0.735128i | ||||||||
\(87\) | −3.90456 | + | 14.0161i | −0.418612 | + | 1.50268i | ||||
\(88\) | 1.82124 | + | 3.15449i | 0.194145 | + | 0.336270i | ||||
\(89\) | 3.64016 | + | 6.30494i | 0.385856 | + | 0.668323i | 0.991888 | − | 0.127118i | \(-0.0405727\pi\) |
−0.606031 | + | 0.795441i | \(0.707239\pi\) | |||||||
\(90\) | −4.54271 | − | 8.24039i | −0.478844 | − | 0.868613i | ||||
\(91\) | 5.09809 | − | 8.06285i | 0.534425 | − | 0.845216i | ||||
\(92\) | − | 3.88145i | − | 0.404669i | ||||||
\(93\) | 9.86976 | + | 10.0669i | 1.02345 | + | 1.04389i | ||||
\(94\) | −12.3955 | + | 7.15653i | −1.27849 | + | 0.738139i | ||||
\(95\) | 3.26356 | + | 1.88422i | 0.334834 | + | 0.193317i | ||||
\(96\) | 6.83987 | − | 1.76043i | 0.698091 | − | 0.179673i | ||||
\(97\) | 3.28378 | + | 1.89589i | 0.333418 | + | 0.192499i | 0.657357 | − | 0.753579i | \(-0.271674\pi\) |
−0.323940 | + | 0.946078i | \(0.605008\pi\) | |||||||
\(98\) | 11.4611 | + | 1.93671i | 1.15775 | + | 0.195638i | ||||
\(99\) | 2.55655 | + | 4.63754i | 0.256943 | + | 0.466090i | ||||
\(100\) | −0.542257 | + | 0.939216i | −0.0542257 | + | 0.0939216i | ||||
\(101\) | −3.84960 | − | 6.66771i | −0.383050 | − | 0.663462i | 0.608447 | − | 0.793595i | \(-0.291793\pi\) |
−0.991497 | + | 0.130133i | \(0.958460\pi\) | |||||||
\(102\) | 4.14662 | + | 4.22946i | 0.410577 | + | 0.418779i | ||||
\(103\) | − | 7.66285i | − | 0.755043i | −0.926001 | − | 0.377522i | \(-0.876776\pi\) | ||
0.926001 | − | 0.377522i | \(-0.123224\pi\) | |||||||
\(104\) | 1.61151 | − | 7.26351i | 0.158022 | − | 0.712246i | ||||
\(105\) | −3.60851 | − | 7.86797i | −0.352154 | − | 0.767835i | ||||
\(106\) | −5.25975 | − | 9.11015i | −0.510872 | − | 0.884856i | ||||
\(107\) | −5.72263 | + | 3.30396i | −0.553228 | + | 0.319406i | −0.750423 | − | 0.660958i | \(-0.770150\pi\) |
0.197195 | + | 0.980364i | \(0.436817\pi\) | |||||||
\(108\) | 3.82949 | − | 0.905265i | 0.368492 | − | 0.0871091i | ||||
\(109\) | 15.7698 | 1.51047 | 0.755235 | − | 0.655454i | \(-0.227523\pi\) | ||||
0.755235 | + | 0.655454i | \(0.227523\pi\) | |||||||
\(110\) | −2.76827 | + | 4.79478i | −0.263944 | + | 0.457164i | ||||
\(111\) | −7.50257 | − | 2.09004i | −0.712112 | − | 0.198378i | ||||
\(112\) | 12.8661 | − | 2.31599i | 1.21573 | − | 0.218840i | ||||
\(113\) | 9.60307 | + | 5.54433i | 0.903380 | + | 0.521567i | 0.878295 | − | 0.478118i | \(-0.158681\pi\) |
0.0250851 | + | 0.999685i | \(0.492014\pi\) | |||||||
\(114\) | −4.09726 | + | 4.01702i | −0.383744 | + | 0.376228i | ||||
\(115\) | −8.38428 | + | 4.84066i | −0.781838 | + | 0.451394i | ||||
\(116\) | − | 6.36154i | − | 0.590654i | ||||||
\(117\) | 2.55124 | − | 10.5115i | 0.235863 | − | 0.971786i | ||||
\(118\) | 24.9626i | 2.29799i | ||||||||
\(119\) | 3.51723 | + | 4.16144i | 0.322424 | + | 0.381478i | ||||
\(120\) | −4.72633 | − | 4.82075i | −0.431453 | − | 0.440072i | ||||
\(121\) | −3.94207 | + | 6.82786i | −0.358370 | + | 0.620715i | ||||
\(122\) | 3.09110 | 0.279855 | ||||||||
\(123\) | 15.6433 | + | 4.35787i | 1.41051 | + | 0.392935i | ||||
\(124\) | −5.33821 | − | 3.08201i | −0.479385 | − | 0.276773i | ||||
\(125\) | 12.1495 | 1.08669 | ||||||||
\(126\) | 13.0151 | − | 2.07795i | 1.15947 | − | 0.185118i | ||||
\(127\) | −2.91516 | − | 5.04921i | −0.258679 | − | 0.448045i | 0.707209 | − | 0.707004i | \(-0.249954\pi\) |
−0.965888 | + | 0.258959i | \(0.916620\pi\) | |||||||
\(128\) | 11.5367 | − | 6.66073i | 1.01971 | − | 0.588731i | ||||
\(129\) | 1.77245 | + | 6.88657i | 0.156055 | + | 0.606328i | ||||
\(130\) | 10.7860 | − | 3.39891i | 0.945999 | − | 0.298104i | ||||
\(131\) | 6.73347 | 0.588306 | 0.294153 | − | 0.955758i | \(-0.404962\pi\) | ||||
0.294153 | + | 0.955758i | \(0.404962\pi\) | |||||||
\(132\) | −1.62093 | − | 1.65331i | −0.141084 | − | 0.143902i | ||||
\(133\) | −4.03137 | + | 3.40729i | −0.349564 | + | 0.295450i | ||||
\(134\) | 5.17186 | + | 2.98597i | 0.446780 | + | 0.257949i | ||||
\(135\) | −6.73131 | − | 7.14305i | −0.579339 | − | 0.614776i | ||||
\(136\) | 3.68031 | + | 2.12483i | 0.315584 | + | 0.182203i | ||||
\(137\) | 4.71760 | + | 2.72371i | 0.403052 | + | 0.232702i | 0.687800 | − | 0.725900i | \(-0.258577\pi\) |
−0.284748 | + | 0.958602i | \(0.591910\pi\) | |||||||
\(138\) | −3.67428 | − | 14.2758i | −0.312776 | − | 1.21524i | ||||
\(139\) | −5.70542 | − | 3.29403i | −0.483928 | − | 0.279396i | 0.238124 | − | 0.971235i | \(-0.423468\pi\) |
−0.722052 | + | 0.691839i | \(0.756801\pi\) | |||||||
\(140\) | 2.44303 | + | 2.89049i | 0.206474 | + | 0.244291i | ||||
\(141\) | −10.6608 | + | 10.4520i | −0.897799 | + | 0.880215i | ||||
\(142\) | 13.8401 | 1.16144 | ||||||||
\(143\) | −6.07019 | + | 1.91285i | −0.507615 | + | 0.159960i | ||||
\(144\) | 12.9814 | − | 7.15631i | 1.08178 | − | 0.596359i | ||||
\(145\) | −13.7415 | + | 7.93365i | −1.14117 | + | 0.658854i | ||||
\(146\) | 1.31383 | + | 2.27562i | 0.108733 | + | 0.188331i | ||||
\(147\) | 12.0811 | − | 1.02341i | 0.996431 | − | 0.0844095i | ||||
\(148\) | 3.40522 | 0.279907 | ||||||||
\(149\) | −6.82922 | − | 3.94285i | −0.559471 | − | 0.323011i | 0.193462 | − | 0.981108i | \(-0.438028\pi\) |
−0.752933 | + | 0.658097i | \(0.771362\pi\) | |||||||
\(150\) | −1.10532 | + | 3.96772i | −0.0902486 | + | 0.323963i | ||||
\(151\) | −22.0280 | −1.79262 | −0.896308 | − | 0.443433i | \(-0.853761\pi\) | ||||
−0.896308 | + | 0.443433i | \(0.853761\pi\) | |||||||
\(152\) | −2.05841 | + | 3.56528i | −0.166959 | + | 0.289182i | ||||
\(153\) | 5.28839 | + | 3.19434i | 0.427541 | + | 0.258247i | ||||
\(154\) | −5.00595 | − | 5.92283i | −0.403391 | − | 0.477276i | ||||
\(155\) | 15.3747i | 1.23492i | ||||||||
\(156\) | 0.158792 | + | 4.72665i | 0.0127136 | + | 0.378435i | ||||
\(157\) | − | 6.90649i | − | 0.551198i | −0.961273 | − | 0.275599i | \(-0.911124\pi\) | ||
0.961273 | − | 0.275599i | \(-0.0888762\pi\) | |||||||
\(158\) | 5.04924 | − | 2.91518i | 0.401696 | − | 0.231919i | ||||
\(159\) | −7.68177 | − | 7.83522i | −0.609204 | − | 0.621374i | ||||
\(160\) | 6.67042 | + | 3.85117i | 0.527343 | + | 0.304462i | ||||
\(161\) | −2.40237 | − | 13.3460i | −0.189334 | − | 1.05181i | ||||
\(162\) | 13.2278 | − | 6.95463i | 1.03927 | − | 0.546407i | ||||
\(163\) | 5.90872 | − | 10.2342i | 0.462806 | − | 0.801604i | −0.536293 | − | 0.844032i | \(-0.680176\pi\) |
0.999100 | + | 0.0424277i | \(0.0135092\pi\) | |||||||
\(164\) | −7.10010 | −0.554424 | ||||||||
\(165\) | −1.54979 | + | 5.56323i | −0.120651 | + | 0.433097i | ||||
\(166\) | 8.19652 | − | 4.73226i | 0.636174 | − | 0.367295i | ||||
\(167\) | −10.4395 | − | 18.0817i | −0.807831 | − | 1.39920i | −0.914363 | − | 0.404895i | \(-0.867308\pi\) |
0.106532 | − | 0.994309i | \(-0.466025\pi\) | |||||||
\(168\) | 8.59537 | − | 3.94211i | 0.663147 | − | 0.304141i | ||||
\(169\) | 11.7802 | + | 5.49784i | 0.906171 | + | 0.422911i | ||||
\(170\) | 6.45943i | 0.495415i | ||||||||
\(171\) | −3.09450 | + | 5.12309i | −0.236642 | + | 0.391773i | ||||
\(172\) | −1.55456 | − | 2.69257i | −0.118534 | − | 0.205307i | ||||
\(173\) | −7.08432 | + | 12.2704i | −0.538611 | + | 0.932902i | 0.460368 | + | 0.887728i | \(0.347717\pi\) |
−0.998979 | + | 0.0451736i | \(0.985616\pi\) | |||||||
\(174\) | −6.02200 | − | 23.3975i | −0.456527 | − | 1.77376i | ||||
\(175\) | −1.28319 | + | 3.56504i | −0.0969999 | + | 0.269492i | ||||
\(176\) | −7.55341 | − | 4.36096i | −0.569360 | − | 0.328720i | ||||
\(177\) | 6.49010 | + | 25.2162i | 0.487826 | + | 1.89537i | ||||
\(178\) | −10.4694 | − | 6.04453i | −0.784717 | − | 0.453057i | ||||
\(179\) | 4.21150 | − | 2.43151i | 0.314782 | − | 0.181740i | −0.334282 | − | 0.942473i | \(-0.608494\pi\) |
0.649065 | + | 0.760733i | \(0.275161\pi\) | |||||||
\(180\) | 3.67326 | + | 2.21876i | 0.273789 | + | 0.165377i | ||||
\(181\) | 22.3828i | 1.66370i | 0.555002 | + | 0.831849i | \(0.312718\pi\) | ||||
−0.555002 | + | 0.831849i | \(0.687282\pi\) | |||||||
\(182\) | −0.637057 | + | 15.8275i | −0.0472218 | + | 1.17321i | ||||
\(183\) | 3.12251 | − | 0.803664i | 0.230823 | − | 0.0594086i | ||||
\(184\) | −5.28819 | − | 9.15941i | −0.389850 | − | 0.675241i | ||||
\(185\) | −4.24675 | − | 7.35558i | −0.312227 | − | 0.540793i | ||||
\(186\) | −22.5513 | − | 6.28226i | −1.65354 | − | 0.460638i | ||||
\(187\) | − | 3.63525i | − | 0.265836i | ||||||
\(188\) | 3.26382 | − | 5.65311i | 0.238039 | − | 0.412295i | ||||
\(189\) | 12.6071 | − | 5.48289i | 0.917029 | − | 0.398821i | ||||
\(190\) | −6.25753 | −0.453969 | ||||||||
\(191\) | −13.9180 | − | 8.03555i | −1.00707 | − | 0.581432i | −0.0967376 | − | 0.995310i | \(-0.530841\pi\) |
−0.910332 | + | 0.413878i | \(0.864174\pi\) | |||||||
\(192\) | 3.84783 | − | 3.77247i | 0.277693 | − | 0.272254i | ||||
\(193\) | 4.49996 | + | 7.79416i | 0.323914 | + | 0.561036i | 0.981292 | − | 0.192525i | \(-0.0616677\pi\) |
−0.657378 | + | 0.753561i | \(0.728334\pi\) | |||||||
\(194\) | −6.29630 | −0.452048 | ||||||||
\(195\) | 10.0120 | − | 6.23775i | 0.716971 | − | 0.446694i | ||||
\(196\) | −4.96833 | + | 1.84856i | −0.354880 | + | 0.132040i | ||||
\(197\) | −12.0190 | + | 6.93917i | −0.856318 | + | 0.494396i | −0.862778 | − | 0.505584i | \(-0.831277\pi\) |
0.00645936 | + | 0.999979i | \(0.497944\pi\) | |||||||
\(198\) | −7.52678 | − | 4.54640i | −0.534905 | − | 0.323099i | ||||
\(199\) | 16.3768 | + | 9.45513i | 1.16092 | + | 0.670256i | 0.951524 | − | 0.307575i | \(-0.0995176\pi\) |
0.209394 | + | 0.977831i | \(0.432851\pi\) | |||||||
\(200\) | 2.95514i | 0.208960i | ||||||||
\(201\) | 6.00074 | + | 1.67167i | 0.423260 | + | 0.117910i | ||||
\(202\) | 11.0718 | + | 6.39231i | 0.779010 | + | 0.449761i | ||||
\(203\) | −3.93739 | − | 21.8736i | −0.276351 | − | 1.53523i | ||||
\(204\) | −2.60221 | − | 0.724915i | −0.182191 | − | 0.0507542i | ||||
\(205\) | 8.85473 | + | 15.3368i | 0.618441 | + | 1.07117i | ||||
\(206\) | 6.36213 | + | 11.0195i | 0.443270 | + | 0.767767i | ||||
\(207\) | −7.42324 | − | 13.4656i | −0.515951 | − | 0.935925i | ||||
\(208\) | 5.35444 | + | 16.9917i | 0.371264 | + | 1.17816i | ||||
\(209\) | 3.52162 | 0.243596 | ||||||||
\(210\) | 11.7216 | + | 8.31851i | 0.808868 | + | 0.574032i | ||||
\(211\) | 3.16507 | + | 5.48206i | 0.217892 | + | 0.377400i | 0.954163 | − | 0.299286i | \(-0.0967485\pi\) |
−0.736271 | + | 0.676687i | \(0.763415\pi\) | |||||||
\(212\) | 4.15480 | + | 2.39877i | 0.285353 | + | 0.164749i | ||||
\(213\) | 13.9807 | − | 3.59833i | 0.957944 | − | 0.246553i | ||||
\(214\) | 5.48627 | − | 9.50249i | 0.375034 | − | 0.649577i | ||||
\(215\) | −3.87746 | + | 6.71596i | −0.264441 | + | 0.458025i | ||||
\(216\) | 7.80343 | − | 7.35363i | 0.530956 | − | 0.500351i | ||||
\(217\) | −20.2625 | − | 7.29323i | −1.37551 | − | 0.495097i | ||||
\(218\) | −22.6776 | + | 13.0929i | −1.53592 | + | 0.886766i | ||||
\(219\) | 1.91882 | + | 1.95715i | 0.129662 | + | 0.132252i | ||||
\(220\) | − | 2.52501i | − | 0.170236i | ||||||
\(221\) | −5.01737 | + | 5.47373i | −0.337505 | + | 0.368203i | ||||
\(222\) | 12.5243 | − | 3.22347i | 0.840576 | − | 0.216345i | ||||
\(223\) | −2.57146 | + | 1.48464i | −0.172198 | + | 0.0994185i | −0.583622 | − | 0.812026i | \(-0.698365\pi\) |
0.411424 | + | 0.911444i | \(0.365032\pi\) | |||||||
\(224\) | −8.23975 | + | 6.96420i | −0.550541 | + | 0.465315i | ||||
\(225\) | −0.0849672 | + | 4.29541i | −0.00566448 | + | 0.286361i | ||||
\(226\) | −18.4129 | −1.22480 | ||||||||
\(227\) | −1.75200 | + | 3.03456i | −0.116285 | + | 0.201411i | −0.918293 | − | 0.395903i | \(-0.870432\pi\) |
0.802008 | + | 0.597313i | \(0.203765\pi\) | |||||||
\(228\) | 0.702257 | − | 2.52087i | 0.0465081 | − | 0.166949i | ||||
\(229\) | − | 1.15034i | − | 0.0760167i | −0.999277 | − | 0.0380084i | \(-0.987899\pi\) | ||
0.999277 | − | 0.0380084i | \(-0.0121014\pi\) | |||||||
\(230\) | 8.03798 | − | 13.9222i | 0.530008 | − | 0.918002i | ||||
\(231\) | −6.59671 | − | 4.68150i | −0.434032 | − | 0.308020i | ||||
\(232\) | −8.66712 | − | 15.0119i | −0.569024 | − | 0.985579i | ||||
\(233\) | − | 3.80152i | − | 0.249046i | −0.992217 | − | 0.124523i | \(-0.960260\pi\) | ||
0.992217 | − | 0.124523i | \(-0.0397400\pi\) | |||||||
\(234\) | 5.05841 | + | 17.2342i | 0.330679 | + | 1.12663i | ||||
\(235\) | −16.2816 | −1.06210 | ||||||||
\(236\) | −5.69225 | − | 9.85927i | −0.370534 | − | 0.641784i | ||||
\(237\) | 4.34262 | − | 4.25757i | 0.282083 | − | 0.276559i | ||||
\(238\) | −8.51299 | − | 3.06414i | −0.551815 | − | 0.198618i | ||||
\(239\) | 10.1685i | 0.657748i | 0.944374 | + | 0.328874i | \(0.106669\pi\) | ||||
−0.944374 | + | 0.328874i | \(0.893331\pi\) | |||||||
\(240\) | 15.5726 | + | 4.33817i | 1.00521 | + | 0.280028i | ||||
\(241\) | −22.2624 | − | 12.8532i | −1.43405 | − | 0.827949i | −0.436624 | − | 0.899644i | \(-0.643826\pi\) |
−0.997427 | + | 0.0716951i | \(0.977159\pi\) | |||||||
\(242\) | − | 13.0917i | − | 0.841566i | ||||||
\(243\) | 11.5540 | − | 10.4644i | 0.741192 | − | 0.671293i | ||||
\(244\) | −1.22087 | + | 0.704868i | −0.0781580 | + | 0.0451245i | ||||
\(245\) | 10.1892 | + | 8.42664i | 0.650964 | + | 0.538358i | ||||
\(246\) | −26.1139 | + | 6.72114i | −1.66496 | + | 0.428524i | ||||
\(247\) | −5.30264 | − | 4.86055i | −0.337399 | − | 0.309269i | ||||
\(248\) | −16.7961 | −1.06655 | ||||||||
\(249\) | 7.04945 | − | 6.91139i | 0.446741 | − | 0.437991i | ||||
\(250\) | −17.4715 | + | 10.0872i | −1.10500 | + | 0.637971i | ||||
\(251\) | −11.5595 | + | 20.0217i | −0.729630 | + | 1.26376i | 0.227410 | + | 0.973799i | \(0.426974\pi\) |
−0.957040 | + | 0.289957i | \(0.906359\pi\) | |||||||
\(252\) | −4.66662 | + | 3.78855i | −0.293969 | + | 0.238656i | ||||
\(253\) | −4.52363 | + | 7.83515i | −0.284398 | + | 0.492592i | ||||
\(254\) | 8.38427 | + | 4.84066i | 0.526076 | + | 0.303730i | ||||
\(255\) | 1.67941 | + | 6.52506i | 0.105168 | + | 0.408615i | ||||
\(256\) | −7.94909 | + | 13.7682i | −0.496818 | + | 0.860514i | ||||
\(257\) | −4.05472 | − | 7.02298i | −0.252926 | − | 0.438081i | 0.711404 | − | 0.702783i | \(-0.248060\pi\) |
−0.964330 | + | 0.264702i | \(0.914726\pi\) | |||||||
\(258\) | −8.26647 | − | 8.43161i | −0.514648 | − | 0.524929i | ||||
\(259\) | 11.7086 | − | 2.10762i | 0.727535 | − | 0.130961i | ||||
\(260\) | −3.48502 | + | 3.80200i | −0.216132 | + | 0.235790i | ||||
\(261\) | −12.1664 | − | 22.0696i | −0.753080 | − | 1.36607i | ||||
\(262\) | −9.68303 | + | 5.59050i | −0.598220 | + | 0.345382i | ||||
\(263\) | 22.4081 | − | 12.9373i | 1.38174 | − | 0.797750i | 0.389377 | − | 0.921078i | \(-0.372690\pi\) |
0.992366 | + | 0.123328i | \(0.0393569\pi\) | |||||||
\(264\) | −6.07756 | − | 1.69307i | −0.374048 | − | 0.104201i | ||||
\(265\) | − | 11.9663i | − | 0.735085i | ||||||
\(266\) | 2.96836 | − | 8.24690i | 0.182002 | − | 0.505650i | ||||
\(267\) | −12.1473 | − | 3.38397i | −0.743406 | − | 0.207096i | ||||
\(268\) | −2.72358 | −0.166369 | ||||||||
\(269\) | 6.18971 | − | 10.7209i | 0.377393 | − | 0.653665i | −0.613289 | − | 0.789859i | \(-0.710154\pi\) |
0.990682 | + | 0.136194i | \(0.0434871\pi\) | |||||||
\(270\) | 15.6105 | + | 4.68332i | 0.950024 | + | 0.285018i | ||||
\(271\) | 6.90443 | − | 3.98627i | 0.419414 | − | 0.242149i | −0.275412 | − | 0.961326i | \(-0.588814\pi\) |
0.694827 | + | 0.719177i | \(0.255481\pi\) | |||||||
\(272\) | −10.1758 | −0.616998 | ||||||||
\(273\) | 3.47150 | + | 16.1539i | 0.210104 | + | 0.977679i | ||||
\(274\) | −9.04550 | −0.546459 | ||||||||
\(275\) | 2.18922 | − | 1.26394i | 0.132015 | − | 0.0762187i | ||||
\(276\) | 4.70654 | + | 4.80056i | 0.283301 | + | 0.288960i | ||||
\(277\) | 2.97509 | − | 5.15300i | 0.178756 | − | 0.309614i | −0.762699 | − | 0.646754i | \(-0.776126\pi\) |
0.941455 | + | 0.337140i | \(0.109459\pi\) | |||||||
\(278\) | 10.9395 | 0.656110 | ||||||||
\(279\) | −24.4138 | − | 0.482927i | −1.46161 | − | 0.0289121i | ||||
\(280\) | 9.70313 | + | 3.49251i | 0.579873 | + | 0.208717i | ||||
\(281\) | − | 2.80657i | − | 0.167426i | −0.996490 | − | 0.0837130i | \(-0.973322\pi\) | ||
0.996490 | − | 0.0837130i | \(-0.0266779\pi\) | |||||||
\(282\) | 6.65286 | − | 23.8816i | 0.396172 | − | 1.42213i | ||||
\(283\) | 15.7474 | − | 9.09177i | 0.936086 | − | 0.540450i | 0.0473548 | − | 0.998878i | \(-0.484921\pi\) |
0.888731 | + | 0.458429i | \(0.151588\pi\) | |||||||
\(284\) | −5.46631 | + | 3.15598i | −0.324366 | + | 0.187273i | ||||
\(285\) | −6.32111 | + | 1.62691i | −0.374430 | + | 0.0963700i | ||||
\(286\) | 7.14106 | − | 7.79057i | 0.422260 | − | 0.460666i | ||||
\(287\) | −24.4131 | + | 4.39451i | −1.44106 | + | 0.259400i | ||||
\(288\) | −6.32487 | + | 10.4711i | −0.372697 | + | 0.617018i | ||||
\(289\) | 6.37940 | + | 11.0494i | 0.375259 | + | 0.649967i | ||||
\(290\) | 13.1739 | − | 22.8179i | 0.773599 | − | 1.33991i | ||||
\(291\) | −6.36028 | + | 1.63699i | −0.372846 | + | 0.0959623i | ||||
\(292\) | −1.03782 | − | 0.599187i | −0.0607340 | − | 0.0350648i | ||||
\(293\) | −13.5410 | + | 23.4538i | −0.791076 | + | 1.37018i | 0.134226 | + | 0.990951i | \(0.457145\pi\) |
−0.925302 | + | 0.379232i | \(0.876188\pi\) | |||||||
\(294\) | −16.5234 | + | 11.5021i | −0.963667 | + | 0.670816i | ||||
\(295\) | −14.1979 | + | 24.5915i | −0.826636 | + | 1.43177i | ||||
\(296\) | 8.03561 | − | 4.63936i | 0.467060 | − | 0.269657i | ||||
\(297\) | −8.78530 | − | 2.63569i | −0.509775 | − | 0.152938i | ||||
\(298\) | 13.0943 | 0.758532 | ||||||||
\(299\) | 17.6255 | − | 5.55416i | 1.01931 | − | 0.321205i | ||||
\(300\) | −0.468207 | − | 1.81915i | −0.0270320 | − | 0.105028i | ||||
\(301\) | −7.01174 | − | 8.29600i | −0.404150 | − | 0.478174i | ||||
\(302\) | 31.6773 | − | 18.2889i | 1.82282 | − | 1.05241i | ||||
\(303\) | 12.8463 | + | 3.57867i | 0.737999 | + | 0.205589i | ||||
\(304\) | − | 9.85773i | − | 0.565380i | ||||||
\(305\) | 3.04515 | + | 1.75812i | 0.174365 | + | 0.100670i | ||||
\(306\) | −10.2571 | − | 0.202894i | −0.586357 | − | 0.0115987i | ||||
\(307\) | 24.0555i | 1.37292i | 0.727167 | + | 0.686461i | \(0.240837\pi\) | ||||
−0.727167 | + | 0.686461i | \(0.759163\pi\) | |||||||
\(308\) | 3.32775 | + | 1.19778i | 0.189616 | + | 0.0682498i | ||||
\(309\) | 9.29177 | + | 9.47739i | 0.528591 | + | 0.539150i | ||||
\(310\) | −12.7649 | − | 22.1095i | −0.724998 | − | 1.25573i | ||||
\(311\) | 16.9955 | 0.963729 | 0.481864 | − | 0.876246i | \(-0.339960\pi\) | ||||
0.481864 | + | 0.876246i | \(0.339960\pi\) | |||||||
\(312\) | 6.81443 | + | 10.9376i | 0.385791 | + | 0.619218i | ||||
\(313\) | − | 13.9150i | − | 0.786520i | −0.919427 | − | 0.393260i | \(-0.871347\pi\) | ||
0.919427 | − | 0.393260i | \(-0.128653\pi\) | |||||||
\(314\) | 5.73415 | + | 9.93184i | 0.323597 | + | 0.560486i | ||||
\(315\) | 14.0035 | + | 5.35550i | 0.789006 | + | 0.301748i | ||||
\(316\) | −1.32950 | + | 2.30277i | −0.0747904 | + | 0.129541i | ||||
\(317\) | 14.9271i | 0.838389i | 0.907897 | + | 0.419194i | \(0.137687\pi\) | ||||
−0.907897 | + | 0.419194i | \(0.862313\pi\) | |||||||
\(318\) | 17.5520 | + | 4.88957i | 0.984265 | + | 0.274194i | ||||
\(319\) | −7.41404 | + | 12.8415i | −0.415107 | + | 0.718986i | ||||
\(320\) | 5.87658 | 0.328511 | ||||||||
\(321\) | 3.07143 | − | 11.0254i | 0.171431 | − | 0.615380i | ||||
\(322\) | 14.5353 | + | 17.1976i | 0.810023 | + | 0.958385i | ||||
\(323\) | 3.55819 | − | 2.05432i | 0.197983 | − | 0.114306i | ||||
\(324\) | −3.63860 | + | 5.76316i | −0.202144 | + | 0.320176i | ||||
\(325\) | −5.04088 | − | 1.11839i | −0.279618 | − | 0.0620371i | ||||
\(326\) | 19.6230i | 1.08682i | ||||||||
\(327\) | −19.5040 | + | 19.1220i | −1.07857 | + | 1.05745i | ||||
\(328\) | −16.7547 | + | 9.67335i | −0.925126 | + | 0.534122i | ||||
\(329\) | 7.72346 | − | 21.4578i | 0.425808 | − | 1.18301i | ||||
\(330\) | −2.39024 | − | 9.28690i | −0.131578 | − | 0.511227i | ||||
\(331\) | 5.87460 | − | 10.1751i | 0.322897 | − | 0.559274i | −0.658187 | − | 0.752854i | \(-0.728677\pi\) |
0.981085 | + | 0.193580i | \(0.0620099\pi\) | |||||||
\(332\) | −2.15821 | + | 3.73813i | −0.118447 | + | 0.205156i | ||||
\(333\) | 11.8135 | − | 6.51246i | 0.647374 | − | 0.356880i | ||||
\(334\) | 30.0249 | + | 17.3349i | 1.64289 | + | 0.948522i | ||||
\(335\) | 3.39665 | + | 5.88318i | 0.185579 | + | 0.321432i | ||||
\(336\) | −13.1045 | + | 18.4655i | −0.714908 | + | 1.00738i | ||||
\(337\) | 30.6648 | 1.67042 | 0.835209 | − | 0.549932i | \(-0.185346\pi\) | ||||
0.835209 | + | 0.549932i | \(0.185346\pi\) | |||||||
\(338\) | −21.5051 | + | 1.87445i | −1.16972 | + | 0.101957i | ||||
\(339\) | −18.5999 | + | 4.78721i | −1.01021 | + | 0.260006i | ||||
\(340\) | −1.47295 | − | 2.55123i | −0.0798820 | − | 0.138360i | ||||
\(341\) | 7.18386 | + | 12.4428i | 0.389028 | + | 0.673816i | ||||
\(342\) | 0.196552 | − | 9.93646i | 0.0106283 | − | 0.537302i | ||||
\(343\) | −15.9390 | + | 9.43120i | −0.860626 | + | 0.509237i | ||||
\(344\) | −7.33686 | − | 4.23594i | −0.395577 | − | 0.228386i | ||||
\(345\) | 4.49998 | − | 16.1535i | 0.242271 | − | 0.869673i | ||||
\(346\) | − | 23.5272i | − | 1.26483i | ||||||
\(347\) | −10.1994 | − | 5.88862i | −0.547532 | − | 0.316118i | 0.200594 | − | 0.979674i | \(-0.435713\pi\) |
−0.748126 | + | 0.663557i | \(0.769046\pi\) | |||||||
\(348\) | 7.71383 | + | 7.86793i | 0.413505 | + | 0.421765i | ||||
\(349\) | 20.0049 | − | 11.5498i | 1.07084 | − | 0.618249i | 0.142428 | − | 0.989805i | \(-0.454509\pi\) |
0.928410 | + | 0.371556i | \(0.121176\pi\) | |||||||
\(350\) | −1.11461 | − | 6.19206i | −0.0595785 | − | 0.330979i | ||||
\(351\) | 9.59057 | + | 16.0941i | 0.511907 | + | 0.859041i | ||||
\(352\) | 7.19788 | 0.383648 | ||||||||
\(353\) | 17.5309 | + | 30.3644i | 0.933075 | + | 1.61613i | 0.778032 | + | 0.628225i | \(0.216218\pi\) |
0.155043 | + | 0.987908i | \(0.450449\pi\) | |||||||
\(354\) | −30.2690 | − | 30.8736i | −1.60878 | − | 1.64092i | ||||
\(355\) | 13.6344 | + | 7.87181i | 0.723638 | + | 0.417792i | ||||
\(356\) | 5.51337 | 0.292208 | ||||||||
\(357\) | −9.39615 | − | 0.881955i | −0.497297 | − | 0.0466780i | ||||
\(358\) | −4.03755 | + | 6.99324i | −0.213391 | + | 0.369604i | ||||
\(359\) | − | 14.7527i | − | 0.778620i | −0.921107 | − | 0.389310i | \(-0.872714\pi\) | ||
0.921107 | − | 0.389310i | \(-0.127286\pi\) | |||||||
\(360\) | 11.6910 | + | 0.231259i | 0.616171 | + | 0.0121884i | ||||
\(361\) | −7.50989 | − | 13.0075i | −0.395257 | − | 0.684606i | ||||
\(362\) | −18.5834 | − | 32.1874i | −0.976723 | − | 1.69173i | ||||
\(363\) | −3.40375 | − | 13.2247i | −0.178651 | − | 0.694118i | ||||
\(364\) | −3.35754 | − | 6.39651i | −0.175983 | − | 0.335268i | ||||
\(365\) | 2.98905i | 0.156454i | ||||||||
\(366\) | −3.82306 | + | 3.74819i | −0.199835 | + | 0.195921i | ||||
\(367\) | 27.6175 | − | 15.9450i | 1.44162 | − | 0.832322i | 0.443666 | − | 0.896192i | \(-0.353678\pi\) |
0.997958 | + | 0.0638704i | \(0.0203444\pi\) | |||||||
\(368\) | 21.9322 | + | 12.6625i | 1.14329 | + | 0.660081i | ||||
\(369\) | −24.6318 | + | 13.5789i | −1.28228 | + | 0.706888i | ||||
\(370\) | 12.2140 | + | 7.05177i | 0.634977 | + | 0.366604i | ||||
\(371\) | 15.7706 | + | 5.67642i | 0.818769 | + | 0.294705i | ||||
\(372\) | 10.3394 | − | 2.66114i | 0.536075 | − | 0.137974i | ||||
\(373\) | 7.71148 | − | 13.3567i | 0.399285 | − | 0.691583i | −0.594353 | − | 0.804205i | \(-0.702592\pi\) |
0.993638 | + | 0.112622i | \(0.0359249\pi\) | |||||||
\(374\) | 3.01818 | + | 5.22765i | 0.156067 | + | 0.270315i | ||||
\(375\) | −15.0265 | + | 14.7322i | −0.775964 | + | 0.760767i | ||||
\(376\) | − | 17.7869i | − | 0.917288i | ||||||
\(377\) | 28.8874 | − | 9.10304i | 1.48778 | − | 0.468831i | ||||
\(378\) | −13.5773 | + | 18.3517i | −0.698342 | + | 0.943911i | ||||
\(379\) | 6.92605 | + | 11.9963i | 0.355767 | + | 0.616207i | 0.987249 | − | 0.159184i | \(-0.0508862\pi\) |
−0.631482 | + | 0.775391i | \(0.717553\pi\) | |||||||
\(380\) | 2.47148 | − | 1.42691i | 0.126784 | − | 0.0731991i | ||||
\(381\) | 9.72800 | + | 2.71000i | 0.498381 | + | 0.138837i | ||||
\(382\) | 26.6862 | 1.36539 | ||||||||
\(383\) | −1.95794 | + | 3.39125i | −0.100046 | + | 0.173285i | −0.911703 | − | 0.410849i | \(-0.865232\pi\) |
0.811657 | + | 0.584134i | \(0.198566\pi\) | |||||||
\(384\) | −6.19195 | + | 22.2271i | −0.315982 | + | 1.13427i | ||||
\(385\) | −1.56282 | − | 8.68202i | −0.0796488 | − | 0.442477i | ||||
\(386\) | −12.9423 | − | 7.47224i | −0.658745 | − | 0.380327i | ||||
\(387\) | −10.5426 | − | 6.36806i | −0.535912 | − | 0.323707i | ||||
\(388\) | 2.48680 | − | 1.43575i | 0.126248 | − | 0.0728894i | ||||
\(389\) | 9.54460i | 0.483931i | 0.970285 | + | 0.241965i | \(0.0777920\pi\) | ||||
−0.970285 | + | 0.241965i | \(0.922208\pi\) | |||||||
\(390\) | −9.21872 | + | 17.2826i | −0.466808 | + | 0.875140i | ||||
\(391\) | 10.5553i | 0.533807i | ||||||||
\(392\) | −9.20568 | + | 11.1312i | −0.464957 | + | 0.562210i | ||||
\(393\) | −8.32793 | + | 8.16483i | −0.420089 | + | 0.411861i | ||||
\(394\) | 11.5226 | − | 19.9577i | 0.580499 | − | 1.00545i | ||||
\(395\) | 6.63224 | 0.333704 | ||||||||
\(396\) | 4.00951 | + | 0.0793119i | 0.201486 | + | 0.00398557i | ||||
\(397\) | −14.2013 | − | 8.19910i | −0.712741 | − | 0.411501i | 0.0993342 | − | 0.995054i | \(-0.468329\pi\) |
−0.812075 | + | 0.583553i | \(0.801662\pi\) | |||||||
\(398\) | −31.4007 | −1.57397 | ||||||||
\(399\) | 0.854388 | − | 9.10246i | 0.0427729 | − | 0.455693i | ||||
\(400\) | −3.53803 | − | 6.12805i | −0.176902 | − | 0.306403i | ||||
\(401\) | 18.3927 | − | 10.6190i | 0.918487 | − | 0.530289i | 0.0353349 | − | 0.999376i | \(-0.488750\pi\) |
0.883152 | + | 0.469087i | \(0.155417\pi\) | |||||||
\(402\) | −10.0172 | + | 2.57821i | −0.499615 | + | 0.128590i | ||||
\(403\) | 6.35658 | − | 28.6508i | 0.316644 | − | 1.42720i | ||||
\(404\) | −5.83059 | −0.290083 | ||||||||
\(405\) | 16.9867 | + | 0.672290i | 0.844078 | + | 0.0334063i | ||||
\(406\) | 23.8228 | + | 28.1862i | 1.18231 | + | 1.39886i | ||||
\(407\) | −6.87383 | − | 3.96861i | −0.340723 | − | 0.196717i | ||||
\(408\) | −7.12831 | + | 1.83467i | −0.352904 | + | 0.0908296i | ||||
\(409\) | −9.88569 | − | 5.70751i | −0.488816 | − | 0.282218i | 0.235267 | − | 0.971931i | \(-0.424403\pi\) |
−0.724083 | + | 0.689713i | \(0.757737\pi\) | |||||||
\(410\) | −25.4670 | − | 14.7034i | −1.25772 | − | 0.726148i | ||||
\(411\) | −9.13741 | + | 2.35177i | −0.450715 | + | 0.116004i | ||||
\(412\) | −5.02559 | − | 2.90153i | −0.247593 | − | 0.142948i | ||||
\(413\) | −25.6746 | − | 30.3771i | −1.26336 | − | 1.49476i | ||||
\(414\) | 21.8549 | + | 13.2010i | 1.07411 | + | 0.648793i | ||||
\(415\) | 10.7663 | 0.528494 | ||||||||
\(416\) | −10.8381 | − | 9.93452i | −0.531382 | − | 0.487080i | ||||
\(417\) | 11.0507 | − | 2.84420i | 0.541155 | − | 0.139281i | ||||
\(418\) | −5.06425 | + | 2.92385i | −0.247701 | + | 0.143010i | ||||
\(419\) | −3.70481 | − | 6.41692i | −0.180992 | − | 0.313487i | 0.761227 | − | 0.648486i | \(-0.224597\pi\) |
−0.942219 | + | 0.334999i | \(0.891264\pi\) | |||||||
\(420\) | −6.52647 | − | 0.612597i | −0.318459 | − | 0.0298917i | ||||
\(421\) | 9.28170 | 0.452363 | 0.226181 | − | 0.974085i | \(-0.427376\pi\) | ||||
0.226181 | + | 0.974085i | \(0.427376\pi\) | |||||||
\(422\) | −9.10302 | − | 5.25563i | −0.443128 | − | 0.255840i | ||||
\(423\) | 0.511415 | − | 25.8539i | 0.0248658 | − | 1.25706i | ||||
\(424\) | 13.0726 | 0.634862 | ||||||||
\(425\) | 1.47463 | − | 2.55414i | 0.0715301 | − | 0.123894i | ||||
\(426\) | −17.1174 | + | 16.7821i | −0.829340 | + | 0.813097i | ||||
\(427\) | −3.76158 | + | 3.17927i | −0.182035 | + | 0.153856i | ||||
\(428\) | 5.00416i | 0.241885i | ||||||||
\(429\) | 5.18813 | − | 9.72635i | 0.250485 | − | 0.469593i | ||||
\(430\) | − | 12.8771i | − | 0.620991i | ||||||
\(431\) | −30.1131 | + | 17.3858i | −1.45050 | + | 0.837445i | −0.998509 | − | 0.0545799i | \(-0.982618\pi\) |
−0.451987 | + | 0.892024i | \(0.649285\pi\) | |||||||
\(432\) | −7.37781 | + | 24.5918i | −0.354965 | + | 1.18317i | ||||
\(433\) | −7.59750 | − | 4.38642i | −0.365113 | − | 0.210798i | 0.306209 | − | 0.951964i | \(-0.400940\pi\) |
−0.671321 | + | 0.741167i | \(0.734273\pi\) | |||||||
\(434\) | 35.1937 | − | 6.33510i | 1.68935 | − | 0.304094i | ||||
\(435\) | 7.37529 | − | 26.4749i | 0.353618 | − | 1.26937i | ||||
\(436\) | 5.97120 | − | 10.3424i | 0.285969 | − | 0.495312i | ||||
\(437\) | −10.2254 | −0.489148 | ||||||||
\(438\) | −4.38429 | − | 1.22136i | −0.209489 | − | 0.0583589i | ||||
\(439\) | −19.1498 | + | 11.0561i | −0.913970 | + | 0.527681i | −0.881706 | − | 0.471798i | \(-0.843605\pi\) |
−0.0322637 | + | 0.999479i | \(0.510272\pi\) | |||||||
\(440\) | −3.44014 | − | 5.95849i | −0.164002 | − | 0.284060i | ||||
\(441\) | −13.7009 | + | 15.9150i | −0.652423 | + | 0.757855i | ||||
\(442\) | 2.67062 | − | 12.0372i | 0.127028 | − | 0.572550i | ||||
\(443\) | 15.2741i | 0.725693i | 0.931849 | + | 0.362847i | \(0.118195\pi\) | ||||
−0.931849 | + | 0.362847i | \(0.881805\pi\) | |||||||
\(444\) | −4.21156 | + | 4.12908i | −0.199872 | + | 0.195957i | ||||
\(445\) | −6.87587 | − | 11.9094i | −0.325948 | − | 0.564558i | ||||
\(446\) | 2.46525 | − | 4.26994i | 0.116733 | − | 0.202188i | ||||
\(447\) | 13.2274 | − | 3.40442i | 0.625632 | − | 0.161024i | ||||
\(448\) | −2.78765 | + | 7.74485i | −0.131704 | + | 0.365910i | ||||
\(449\) | 2.14736 | + | 1.23978i | 0.101340 | + | 0.0585087i | 0.549813 | − | 0.835287i | \(-0.314699\pi\) |
−0.448473 | + | 0.893796i | \(0.648032\pi\) | |||||||
\(450\) | −3.44410 | − | 6.24754i | −0.162357 | − | 0.294512i | ||||
\(451\) | 14.3324 | + | 8.27479i | 0.674884 | + | 0.389645i | ||||
\(452\) | 7.27237 | − | 4.19871i | 0.342064 | − | 0.197491i | ||||
\(453\) | 27.2442 | − | 26.7106i | 1.28004 | − | 1.25497i | ||||
\(454\) | − | 5.81844i | − | 0.273073i | ||||||
\(455\) | −9.62974 | + | 15.2299i | −0.451449 | + | 0.713986i | ||||
\(456\) | −1.77732 | − | 6.90550i | −0.0832307 | − | 0.323380i | ||||
\(457\) | −14.2484 | − | 24.6789i | −0.666510 | − | 1.15443i | −0.978874 | − | 0.204466i | \(-0.934454\pi\) |
0.312364 | − | 0.949963i | \(-0.398879\pi\) | |||||||
\(458\) | 0.955078 | + | 1.65424i | 0.0446278 | + | 0.0772977i | ||||
\(459\) | −10.4140 | + | 2.46181i | −0.486086 | + | 0.114907i | ||||
\(460\) | 7.33164i | 0.341840i | ||||||||
\(461\) | −2.86970 | + | 4.97047i | −0.133655 | + | 0.231498i | −0.925083 | − | 0.379765i | \(-0.876005\pi\) |
0.791428 | + | 0.611263i | \(0.209338\pi\) | |||||||
\(462\) | 13.3732 | + | 1.25526i | 0.622178 | + | 0.0583998i | ||||
\(463\) | −3.06432 | −0.142411 | −0.0712055 | − | 0.997462i | \(-0.522685\pi\) | ||||
−0.0712055 | + | 0.997462i | \(0.522685\pi\) | |||||||
\(464\) | 35.9459 | + | 20.7534i | 1.66875 | + | 0.963452i | ||||
\(465\) | −18.6429 | − | 19.0153i | −0.864544 | − | 0.881815i | ||||
\(466\) | 3.15623 | + | 5.46676i | 0.146210 | + | 0.253243i | ||||
\(467\) | −6.69122 | −0.309633 | −0.154816 | − | 0.987943i | \(-0.549479\pi\) | ||||
−0.154816 | + | 0.987943i | \(0.549479\pi\) | |||||||
\(468\) | −5.92781 | − | 5.65336i | −0.274013 | − | 0.261327i | ||||
\(469\) | −9.36480 | + | 1.68573i | −0.432426 | + | 0.0778396i | ||||
\(470\) | 23.4137 | − | 13.5179i | 1.07999 | − | 0.623535i | ||||
\(471\) | 8.37463 | + | 8.54192i | 0.385882 | + | 0.393591i | ||||
\(472\) | −26.8650 | − | 15.5105i | −1.23656 | − | 0.713931i | ||||
\(473\) | 7.24702i | 0.333218i | ||||||||
\(474\) | −2.71001 | + | 9.72805i | −0.124475 | + | 0.446824i | ||||
\(475\) | 2.47430 | + | 1.42854i | 0.113529 | + | 0.0655459i | ||||
\(476\) | 4.06102 | − | 0.731011i | 0.186137 | − | 0.0335058i | ||||
\(477\) | 19.0016 | + | 0.375869i | 0.870022 | + | 0.0172098i | ||||
\(478\) | −8.44249 | − | 14.6228i | −0.386150 | − | 0.668832i | ||||
\(479\) | 19.5784 | + | 33.9108i | 0.894560 | + | 1.54942i | 0.834349 | + | 0.551237i | \(0.185844\pi\) |
0.0602111 | + | 0.998186i | \(0.480823\pi\) | |||||||
\(480\) | −12.9198 | + | 3.32526i | −0.589704 | + | 0.151777i | ||||
\(481\) | 4.87270 | + | 15.4629i | 0.222176 | + | 0.705050i | ||||
\(482\) | 42.6859 | 1.94429 | ||||||||
\(483\) | 19.1543 | + | 13.5933i | 0.871551 | + | 0.618515i | ||||
\(484\) | 2.98532 | + | 5.17072i | 0.135696 | + | 0.235033i | ||||
\(485\) | −6.20271 | − | 3.58114i | −0.281651 | − | 0.162611i | ||||
\(486\) | −7.92707 | + | 24.6411i | −0.359579 | + | 1.11774i | ||||
\(487\) | −9.04568 | + | 15.6676i | −0.409899 | + | 0.709965i | −0.994878 | − | 0.101083i | \(-0.967769\pi\) |
0.584979 | + | 0.811048i | \(0.301103\pi\) | |||||||
\(488\) | −1.92066 | + | 3.32668i | −0.0869442 | + | 0.150592i | ||||
\(489\) | 5.10183 | + | 19.8224i | 0.230713 | + | 0.896398i | ||||
\(490\) | −21.6488 | − | 3.65824i | −0.977992 | − | 0.165263i | ||||
\(491\) | 23.2245 | − | 13.4087i | 1.04811 | − | 0.605125i | 0.125989 | − | 0.992032i | \(-0.459790\pi\) |
0.922119 | + | 0.386906i | \(0.126456\pi\) | |||||||
\(492\) | 8.78137 | − | 8.60939i | 0.395895 | − | 0.388141i | ||||
\(493\) | 17.2998i | 0.779143i | ||||||||
\(494\) | 11.6609 | + | 2.58714i | 0.524650 | + | 0.116401i | ||||
\(495\) | −4.82906 | − | 8.75982i | −0.217050 | − | 0.393725i | ||||
\(496\) | 34.8299 | − | 20.1091i | 1.56391 | − | 0.902923i | ||||
\(497\) | −16.8421 | + | 14.2349i | −0.755471 | + | 0.638521i | ||||
\(498\) | −4.39921 | + | 15.7917i | −0.197133 | + | 0.707645i | ||||
\(499\) | 16.2931 | 0.729380 | 0.364690 | − | 0.931129i | \(-0.381175\pi\) | ||||
0.364690 | + | 0.931129i | \(0.381175\pi\) | |||||||
\(500\) | 4.60040 | − | 7.96812i | 0.205736 | − | 0.356345i | ||||
\(501\) | 34.8369 | + | 9.70476i | 1.55640 | + | 0.433577i | ||||
\(502\) | − | 38.3894i | − | 1.71340i | ||||||
\(503\) | 10.9717 | − | 19.0035i | 0.489202 | − | 0.847323i | −0.510720 | − | 0.859747i | \(-0.670621\pi\) |
0.999923 | + | 0.0124235i | \(0.00395463\pi\) | |||||||
\(504\) | −5.85061 | + | 15.2981i | −0.260607 | + | 0.681432i | ||||
\(505\) | 7.27149 | + | 12.5946i | 0.323577 | + | 0.560452i | ||||
\(506\) | − | 15.0231i | − | 0.667857i | ||||||
\(507\) | −21.2363 | + | 7.48467i | −0.943136 | + | 0.332406i | ||||
\(508\) | −4.41529 | −0.195897 | ||||||||
\(509\) | −0.634479 | − | 1.09895i | −0.0281228 | − | 0.0487101i | 0.851621 | − | 0.524157i | \(-0.175620\pi\) |
−0.879744 | + | 0.475447i | \(0.842286\pi\) | |||||||
\(510\) | −7.83253 | − | 7.98900i | −0.346830 | − | 0.353759i | ||||
\(511\) | −3.93933 | − | 1.41791i | −0.174266 | − | 0.0627245i | ||||
\(512\) | 0.243816i | 0.0107752i | ||||||||
\(513\) | −2.38486 | − | 10.0885i | −0.105294 | − | 0.445420i | ||||
\(514\) | 11.6617 | + | 6.73290i | 0.514377 | + | 0.296976i | ||||
\(515\) | 14.4743i | 0.637814i | ||||||||
\(516\) | 5.18761 | + | 1.44515i | 0.228372 | + | 0.0636191i | ||||
\(517\) | −13.1768 | + | 7.60763i | −0.579515 | + | 0.334583i | ||||
\(518\) | −15.0876 | + | 12.7519i | −0.662910 | + | 0.560288i | ||||
\(519\) | −6.11690 | − | 23.7663i | −0.268502 | − | 1.04322i | ||||
\(520\) | −3.04398 | + | 13.7200i | −0.133487 | + | 0.601662i | ||||
\(521\) | −40.4919 | −1.77398 | −0.886992 | − | 0.461784i | \(-0.847209\pi\) | ||||
−0.886992 | + | 0.461784i | \(0.847209\pi\) | |||||||
\(522\) | 35.8192 | + | 21.6359i | 1.56776 | + | 0.946976i | ||||
\(523\) | 14.0358 | − | 8.10356i | 0.613741 | − | 0.354344i | −0.160687 | − | 0.987005i | \(-0.551371\pi\) |
0.774428 | + | 0.632662i | \(0.218038\pi\) | |||||||
\(524\) | 2.54962 | − | 4.41607i | 0.111381 | − | 0.192917i | ||||
\(525\) | −2.73583 | − | 5.96519i | −0.119401 | − | 0.260342i | ||||
\(526\) | −21.4826 | + | 37.2089i | −0.936685 | + | 1.62239i | ||||
\(527\) | 14.5169 | + | 8.38134i | 0.632366 | + | 0.365097i | ||||
\(528\) | 14.6300 | − | 3.76544i | 0.636690 | − | 0.163870i | ||||
\(529\) | 1.63486 | − | 2.83166i | 0.0710807 | − | 0.123115i | ||||
\(530\) | 9.93510 | + | 17.2081i | 0.431553 | + | 0.747472i | ||||
\(531\) | −38.6035 | − | 23.3176i | −1.67525 | − | 1.01190i | ||||
\(532\) | 0.708162 | + | 3.93409i | 0.0307027 | + | 0.170565i | ||||
\(533\) | −10.1599 | − | 32.2412i | −0.440073 | − | 1.39652i | ||||
\(534\) | 20.2780 | − | 5.21910i | 0.877514 | − | 0.225853i | ||||
\(535\) | 10.8094 | − | 6.24083i | 0.467333 | − | 0.269815i | ||||
\(536\) | −6.42708 | + | 3.71068i | −0.277608 | + | 0.160277i | ||||
\(537\) | −2.26038 | + | 8.11404i | −0.0975427 | + | 0.350147i | ||||
\(538\) | 20.5562i | 0.886239i | ||||||||
\(539\) | 12.1835 | + | 2.05879i | 0.524782 | + | 0.0886785i | ||||
\(540\) | −7.23349 | + | 1.70995i | −0.311280 | + | 0.0735844i | ||||
\(541\) | −20.6766 | −0.888957 | −0.444479 | − | 0.895789i | \(-0.646611\pi\) | ||||
−0.444479 | + | 0.895789i | \(0.646611\pi\) | |||||||
\(542\) | −6.61925 | + | 11.4649i | −0.284321 | + | 0.492459i | ||||
\(543\) | −27.1408 | − | 27.6829i | −1.16472 | − | 1.18799i | ||||
\(544\) | 7.27262 | − | 4.19885i | 0.311811 | − | 0.180024i | ||||
\(545\) | −29.7874 | −1.27595 | ||||||||
\(546\) | −18.4040 | − | 20.3478i | −0.787620 | − | 0.870806i | ||||
\(547\) | 24.0920 | 1.03010 | 0.515050 | − | 0.857160i | \(-0.327773\pi\) | ||||
0.515050 | + | 0.857160i | \(0.327773\pi\) | |||||||
\(548\) | 3.57263 | − | 2.06266i | 0.152615 | − | 0.0881123i | ||||
\(549\) | −2.88741 | + | 4.78024i | −0.123232 | + | 0.204016i | ||||
\(550\) | −2.09879 | + | 3.63522i | −0.0894928 | + | 0.155006i | ||||
\(551\) | −16.7591 | −0.713960 | ||||||||
\(552\) | 17.6469 | + | 4.91601i | 0.751100 | + | 0.209239i | ||||
\(553\) | −3.14612 | + | 8.74075i | −0.133786 | + | 0.371694i | ||||
\(554\) | 9.88034i | 0.419775i | ||||||||
\(555\) | 14.1715 | + | 3.94786i | 0.601548 | + | 0.167577i | ||||
\(556\) | −4.32070 | + | 2.49456i | −0.183239 | + | 0.105793i | ||||
\(557\) | 20.3944 | − | 11.7747i | 0.864138 | − | 0.498910i | −0.00125762 | − | 0.999999i | \(-0.500400\pi\) |
0.865396 | + | 0.501089i | \(0.167067\pi\) | |||||||
\(558\) | 35.5090 | − | 19.5752i | 1.50322 | − | 0.828684i | ||||
\(559\) | 10.0023 | − | 10.9121i | 0.423054 | − | 0.461533i | ||||
\(560\) | −24.3027 | + | 4.37465i | −1.02698 | + | 0.184863i | ||||
\(561\) | 4.40800 | + | 4.49606i | 0.186106 | + | 0.189824i | ||||
\(562\) | 2.33017 | + | 4.03597i | 0.0982923 | + | 0.170247i | ||||
\(563\) | −17.7210 | + | 30.6936i | −0.746850 | + | 1.29358i | 0.202475 | + | 0.979287i | \(0.435102\pi\) |
−0.949325 | + | 0.314295i | \(0.898232\pi\) | |||||||
\(564\) | 2.81812 | + | 10.9494i | 0.118664 | + | 0.461052i | ||||
\(565\) | −18.1392 | − | 10.4726i | −0.763120 | − | 0.440588i | ||||
\(566\) | −15.0970 | + | 26.1487i | −0.634574 | + | 1.09911i | ||||
\(567\) | −8.94396 | + | 22.0682i | −0.375611 | + | 0.926777i | ||||
\(568\) | −8.59957 | + | 14.8949i | −0.360830 | + | 0.624976i | ||||
\(569\) | −2.58378 | + | 1.49174i | −0.108318 | + | 0.0625372i | −0.553180 | − | 0.833062i | \(-0.686586\pi\) |
0.444863 | + | 0.895599i | \(0.353253\pi\) | |||||||
\(570\) | 7.73929 | − | 7.58771i | 0.324163 | − | 0.317814i | ||||
\(571\) | −10.7710 | −0.450754 | −0.225377 | − | 0.974272i | \(-0.572361\pi\) | ||||
−0.225377 | + | 0.974272i | \(0.572361\pi\) | |||||||
\(572\) | −1.04395 | + | 4.70536i | −0.0436498 | + | 0.196741i | ||||
\(573\) | 26.9574 | − | 6.93824i | 1.12616 | − | 0.289849i | ||||
\(574\) | 31.4585 | − | 26.5886i | 1.31305 | − | 1.10979i | ||||
\(575\) | −6.35663 | + | 3.67000i | −0.265090 | + | 0.153050i | ||||
\(576\) | −0.184587 | + | 9.33155i | −0.00769111 | + | 0.388815i | ||||
\(577\) | 29.8095i | 1.24099i | 0.784212 | + | 0.620493i | \(0.213067\pi\) | ||||
−0.784212 | + | 0.620493i | \(0.786933\pi\) | |||||||
\(578\) | −18.3477 | − | 10.5931i | −0.763164 | − | 0.440613i | ||||
\(579\) | −15.0165 | − | 4.18326i | −0.624066 | − | 0.173850i | ||||
\(580\) | 12.0163i | 0.498948i | ||||||||
\(581\) | −5.10715 | + | 14.1890i | −0.211880 | + | 0.588660i | ||||
\(582\) | 7.78725 | − | 7.63473i | 0.322792 | − | 0.316470i | ||||
\(583\) | −5.59129 | − | 9.68440i | −0.231568 | − | 0.401087i | ||||
\(584\) | −3.26539 | −0.135123 | ||||||||
\(585\) | −4.81903 | + | 19.8551i | −0.199242 | + | 0.820905i | ||||
\(586\) | − | 44.9701i | − | 1.85770i | ||||||
\(587\) | −7.18655 | − | 12.4475i | −0.296620 | − | 0.513762i | 0.678740 | − | 0.734379i | \(-0.262526\pi\) |
−0.975361 | + | 0.220617i | \(0.929193\pi\) | |||||||
\(588\) | 3.90329 | − | 8.31075i | 0.160969 | − | 0.342730i | ||||
\(589\) | −8.11937 | + | 14.0632i | −0.334553 | + | 0.579462i | ||||
\(590\) | − | 47.1517i | − | 1.94120i | ||||||
\(591\) | 6.45080 | − | 23.1563i | 0.265350 | − | 0.952521i | ||||
\(592\) | −11.1089 | + | 19.2412i | −0.456574 | + | 0.790810i | ||||
\(593\) | 6.93827 | 0.284921 | 0.142460 | − | 0.989801i | \(-0.454499\pi\) | ||||
0.142460 | + | 0.989801i | \(0.454499\pi\) | |||||||
\(594\) | 14.8219 | − | 3.50381i | 0.608152 | − | 0.143763i | ||||
\(595\) | −6.64367 | − | 7.86051i | −0.272364 | − | 0.322250i | ||||
\(596\) | −5.17175 | + | 2.98591i | −0.211843 | + | 0.122308i | ||||
\(597\) | −31.7198 | + | 8.16396i | −1.29820 | + | 0.334128i | ||||
\(598\) | −20.7349 | + | 22.6208i | −0.847911 | + | 0.925033i | ||||
\(599\) | − | 26.1480i | − | 1.06838i | −0.845366 | − | 0.534188i | \(-0.820617\pi\) | ||
0.845366 | − | 0.534188i | \(-0.179383\pi\) | |||||||
\(600\) | −3.58332 | − | 3.65490i | −0.146289 | − | 0.149211i | ||||
\(601\) | 16.7802 | − | 9.68807i | 0.684480 | − | 0.395185i | −0.117061 | − | 0.993125i | \(-0.537347\pi\) |
0.801541 | + | 0.597940i | \(0.204014\pi\) | |||||||
\(602\) | 16.9710 | + | 6.10848i | 0.691686 | + | 0.248963i | ||||
\(603\) | −9.44871 | + | 5.20882i | −0.384781 | + | 0.212120i | ||||
\(604\) | −8.34088 | + | 14.4468i | −0.339386 | + | 0.587833i | ||||
\(605\) | 7.44614 | − | 12.8971i | 0.302729 | − | 0.524342i | ||||
\(606\) | −21.4447 | + | 5.51939i | −0.871132 | + | 0.224210i | ||||
\(607\) | 41.2756 | + | 23.8305i | 1.67532 | + | 0.967249i | 0.964577 | + | 0.263802i | \(0.0849765\pi\) |
0.710748 | + | 0.703447i | \(0.248357\pi\) | |||||||
\(608\) | 4.06761 | + | 7.04530i | 0.164963 | + | 0.285725i | ||||
\(609\) | 31.3931 | + | 22.2788i | 1.27211 | + | 0.902783i | ||||
\(610\) | −5.83876 | −0.236404 | ||||||||
\(611\) | 30.3409 | + | 6.73155i | 1.22746 | + | 0.272329i | ||||
\(612\) | 4.09741 | − | 2.25880i | 0.165628 | − | 0.0913064i | ||||
\(613\) | −12.0750 | − | 20.9145i | −0.487705 | − | 0.844729i | 0.512196 | − | 0.858869i | \(-0.328832\pi\) |
−0.999900 | + | 0.0141399i | \(0.995499\pi\) | |||||||
\(614\) | −19.9722 | − | 34.5929i | −0.806014 | − | 1.39606i | ||||
\(615\) | −29.5485 | − | 8.23154i | −1.19151 | − | 0.331928i | ||||
\(616\) | 9.48468 | − | 1.70731i | 0.382149 | − | 0.0687893i | ||||
\(617\) | 2.93520 | + | 1.69464i | 0.118167 | + | 0.0682235i | 0.557918 | − | 0.829896i | \(-0.311600\pi\) |
−0.439752 | + | 0.898119i | \(0.644934\pi\) | |||||||
\(618\) | −21.2306 | − | 5.91437i | −0.854022 | − | 0.237911i | ||||
\(619\) | 10.6431i | 0.427784i | 0.976857 | + | 0.213892i | \(0.0686141\pi\) | ||||
−0.976857 | + | 0.213892i | \(0.931386\pi\) | |||||||
\(620\) | 10.0833 | + | 5.82159i | 0.404955 | + | 0.233801i | ||||
\(621\) | 25.5091 | + | 7.65301i | 1.02364 | + | 0.307105i | ||||
\(622\) | −24.4404 | + | 14.1106i | −0.979969 | + | 0.565785i | ||||
\(623\) | 18.9572 | − | 3.41243i | 0.759506 | − | 0.136716i | ||||
\(624\) | −27.2260 | − | 14.5226i | −1.08991 | − | 0.581370i | ||||
\(625\) | −15.7887 | −0.631548 | ||||||||
\(626\) | 11.5530 | + | 20.0103i | 0.461749 | + | 0.799774i | ||||
\(627\) | −4.35553 | + | 4.27023i | −0.173943 | + | 0.170536i | ||||
\(628\) | −4.52954 | − | 2.61513i | −0.180748 | − | 0.104355i | ||||
\(629\) | −9.26027 | −0.369231 | ||||||||
\(630\) | −24.5841 | + | 3.92502i | −0.979452 | + | 0.156377i | ||||
\(631\) | 1.58516 | − | 2.74557i | 0.0631041 | − | 0.109300i | −0.832747 | − | 0.553653i | \(-0.813233\pi\) |
0.895851 | + | 0.444354i | \(0.146567\pi\) | |||||||
\(632\) | 7.24540i | 0.288207i | ||||||||
\(633\) | −10.5619 | − | 2.94231i | −0.419800 | − | 0.116946i | ||||
\(634\) | −12.3933 | − | 21.4658i | −0.492201 | − | 0.852516i | ||||
\(635\) | 5.50643 | + | 9.53741i | 0.218516 | + | 0.378481i | ||||
\(636\) | −8.04733 | + | 2.07120i | −0.319097 | + | 0.0821286i | ||||
\(637\) | −15.5037 | − | 19.9157i | −0.614277 | − | 0.789090i | ||||
\(638\) | − | 24.6222i | − | 0.974802i | ||||||
\(639\) | −12.9281 | + | 21.4031i | −0.511427 | + | 0.846692i | ||||
\(640\) | −21.7916 | + | 12.5814i | −0.861390 | + | 0.497324i | ||||
\(641\) | −20.4535 | − | 11.8089i | −0.807866 | − | 0.466422i | 0.0383482 | − | 0.999264i | \(-0.487790\pi\) |
−0.846214 | + | 0.532843i | \(0.821124\pi\) | |||||||
\(642\) | 4.73708 | + | 18.4052i | 0.186957 | + | 0.726394i | ||||
\(643\) | −4.51086 | − | 2.60435i | −0.177891 | − | 0.102705i | 0.408410 | − | 0.912798i | \(-0.366083\pi\) |
−0.586301 | + | 0.810093i | \(0.699417\pi\) | |||||||
\(644\) | −9.66250 | − | 3.47789i | −0.380756 | − | 0.137048i | ||||
\(645\) | −3.34796 | − | 13.0080i | −0.131826 | − | 0.512189i | ||||
\(646\) | −3.41122 | + | 5.90841i | −0.134213 | + | 0.232463i | ||||
\(647\) | −8.51892 | − | 14.7552i | −0.334913 | − | 0.580087i | 0.648555 | − | 0.761168i | \(-0.275374\pi\) |
−0.983468 | + | 0.181081i | \(0.942040\pi\) | |||||||
\(648\) | −0.734443 | + | 18.5572i | −0.0288517 | + | 0.728994i | ||||
\(649\) | 26.5361i | 1.04163i | ||||||||
\(650\) | 8.17756 | − | 2.57692i | 0.320750 | − | 0.101075i | ||||
\(651\) | 33.9042 | − | 15.5496i | 1.32881 | − | 0.609436i | ||||
\(652\) | −4.47465 | − | 7.75033i | −0.175241 | − | 0.303526i | ||||
\(653\) | −34.2535 | + | 19.7763i | −1.34044 | + | 0.773906i | −0.986872 | − | 0.161501i | \(-0.948366\pi\) |
−0.353572 | + | 0.935407i | \(0.615033\pi\) | |||||||
\(654\) | 12.1715 | − | 43.6916i | 0.475942 | − | 1.70848i | ||||
\(655\) | −12.7188 | −0.496965 | ||||||||
\(656\) | 23.1628 | − | 40.1192i | 0.904356 | − | 1.56639i | ||||
\(657\) | −4.74638 | − | 0.0938878i | −0.185174 | − | 0.00366291i | ||||
\(658\) | 6.70880 | + | 37.2698i | 0.261536 | + | 1.45293i | ||||
\(659\) | −15.9564 | − | 9.21243i | −0.621573 | − | 0.358865i | 0.155908 | − | 0.987772i | \(-0.450170\pi\) |
−0.777481 | + | 0.628906i | \(0.783503\pi\) | |||||||
\(660\) | 3.06176 | + | 3.12292i | 0.119179 | + | 0.121560i | ||||
\(661\) | 3.66655 | − | 2.11688i | 0.142612 | − | 0.0823372i | −0.426996 | − | 0.904253i | \(-0.640428\pi\) |
0.569608 | + | 0.821916i | \(0.307095\pi\) | |||||||
\(662\) | 19.5097i | 0.758265i | ||||||||
\(663\) | −0.431826 | − | 12.8538i | −0.0167707 | − | 0.499201i | ||||
\(664\) | 11.7616i | 0.456439i | ||||||||
\(665\) | 7.61482 | − | 6.43601i | 0.295290 | − | 0.249578i | ||||
\(666\) | −11.5813 | + | 19.1734i | −0.448766 | + | 0.742954i | ||||
\(667\) | 21.5275 | − | 37.2867i | 0.833548 | − | 1.44375i | ||||
\(668\) | −15.8116 | −0.611768 | ||||||||
\(669\) | 1.38015 | − | 4.95428i | 0.0533596 | − | 0.191544i | ||||
\(670\) | −9.76908 | − | 5.64018i | −0.377412 | − | 0.217899i | ||||
\(671\) | 3.28595 | 0.126853 | ||||||||
\(672\) | 1.74629 | − | 18.6046i | 0.0673646 | − | 0.717688i | ||||
\(673\) | −1.90921 | − | 3.30685i | −0.0735946 | − | 0.127470i | 0.826880 | − | 0.562379i | \(-0.190114\pi\) |
−0.900474 | + | 0.434909i | \(0.856780\pi\) | |||||||
\(674\) | −44.0974 | + | 25.4596i | −1.69857 | + | 0.980668i | ||||
\(675\) | −5.10342 | − | 5.41558i | −0.196431 | − | 0.208446i | ||||
\(676\) | 8.06626 | − | 5.64417i | 0.310241 | − | 0.217084i | ||||
\(677\) | 41.3164 | 1.58792 | 0.793959 | − | 0.607971i | \(-0.208016\pi\) | ||||
0.793959 | + | 0.607971i | \(0.208016\pi\) | |||||||
\(678\) | 22.7730 | − | 22.3269i | 0.874590 | − | 0.857461i | ||||
\(679\) | 7.66201 | − | 6.47589i | 0.294041 | − | 0.248522i | ||||
\(680\) | −6.95171 | − | 4.01357i | −0.266586 | − | 0.153914i | ||||
\(681\) | −1.51275 | − | 5.87756i | −0.0579689 | − | 0.225229i | ||||
\(682\) | −20.6614 | − | 11.9289i | −0.791166 | − | 0.456780i | ||||
\(683\) | −36.9767 | − | 21.3485i | −1.41487 | − | 0.816878i | −0.419031 | − | 0.907972i | \(-0.637630\pi\) |
−0.995842 | + | 0.0910944i | \(0.970964\pi\) | |||||||
\(684\) | 2.18819 | + | 3.96934i | 0.0836677 | + | 0.151772i | ||||
\(685\) | −8.91105 | − | 5.14479i | −0.340474 | − | 0.196572i | ||||
\(686\) | 15.0907 | − | 26.7960i | 0.576166 | − | 1.02307i | ||||
\(687\) | 1.39487 | + | 1.42274i | 0.0532178 | + | 0.0542809i | ||||
\(688\) | 20.2859 | 0.773391 | ||||||||
\(689\) | −4.94741 | + | 22.2993i | −0.188481 | + | 0.849535i | ||||
\(690\) | 6.94033 | + | 26.9655i | 0.264214 | + | 1.02656i | ||||
\(691\) | −30.0693 | + | 17.3605i | −1.14389 | + | 0.660426i | −0.947391 | − | 0.320078i | \(-0.896291\pi\) |
−0.196500 | + | 0.980504i | \(0.562958\pi\) | |||||||
\(692\) | 5.36494 | + | 9.29234i | 0.203944 | + | 0.353242i | ||||
\(693\) | 13.8355 | − | 2.20893i | 0.525566 | − | 0.0839103i | ||||
\(694\) | 19.5562 | 0.742344 | ||||||||
\(695\) | 10.7769 | + | 6.22207i | 0.408792 | + | 0.236016i | ||||
\(696\) | 28.9225 | + | 8.05714i | 1.09630 | + | 0.305405i | ||||
\(697\) | 19.3082 | 0.731352 | ||||||||
\(698\) | −19.1786 | + | 33.2184i | −0.725922 | + | 1.25733i | ||||
\(699\) | 4.60962 | + | 4.70171i | 0.174352 | + | 0.177835i | ||||
\(700\) | 1.85221 | + | 2.19146i | 0.0700070 | + | 0.0828294i | ||||
\(701\) | − | 6.68048i | − | 0.252318i | −0.992010 | − | 0.126159i | \(-0.959735\pi\) | ||
0.992010 | − | 0.126159i | \(-0.0402650\pi\) | |||||||
\(702\) | −27.1539 | − | 15.1815i | −1.02486 | − | 0.572987i | ||||
\(703\) | − | 8.97083i | − | 0.338341i | ||||||
\(704\) | 4.75595 | − | 2.74585i | 0.179247 | − | 0.103488i | ||||
\(705\) | 20.1371 | − | 19.7427i | 0.758405 | − | 0.743552i | ||||
\(706\) | −50.4204 | − | 29.1102i | −1.89760 | − | 1.09558i | ||||
\(707\) | −20.0480 | + | 3.60877i | −0.753982 | + | 0.135722i | ||||
\(708\) | 18.9952 | + | 5.29164i | 0.713885 | + | 0.198872i | ||||
\(709\) | −14.5952 | + | 25.2797i | −0.548136 | + | 0.949399i | 0.450266 | + | 0.892894i | \(0.351329\pi\) |
−0.998402 | + | 0.0565051i | \(0.982004\pi\) | |||||||
\(710\) | −26.1425 | −0.981109 | ||||||||
\(711\) | −0.208322 | + | 10.5315i | −0.00781270 | + | 0.394961i | ||||
\(712\) | 13.0104 | − | 7.51155i | 0.487585 | − | 0.281507i | ||||
\(713\) | −20.8591 | − | 36.1291i | −0.781180 | − | 1.35304i | ||||
\(714\) | 14.2443 | − | 6.53291i | 0.533081 | − | 0.244488i | ||||
\(715\) | 11.4659 | − | 3.61316i | 0.428802 | − | 0.135125i | ||||
\(716\) | − | 3.68275i | − | 0.137631i | ||||||
\(717\) | −12.3301 | − | 12.5764i | −0.460476 | − | 0.469675i | ||||
\(718\) | 12.2485 | + | 21.2151i | 0.457111 | + | 0.791740i | ||||
\(719\) | 18.8697 | − | 32.6832i | 0.703720 | − | 1.21888i | −0.263431 | − | 0.964678i | \(-0.584854\pi\) |
0.967151 | − | 0.254201i | \(-0.0818125\pi\) | |||||||
\(720\) | −24.5205 | + | 13.5175i | −0.913825 | + | 0.503767i | ||||
\(721\) | −19.0759 | − | 6.86613i | −0.710425 | − | 0.255708i | ||||
\(722\) | 21.5991 | + | 12.4703i | 0.803836 | + | 0.464095i | ||||
\(723\) | 43.1196 | − | 11.0980i | 1.60364 | − | 0.412740i | ||||
\(724\) | 14.6795 | + | 8.47520i | 0.545559 | + | 0.314979i | ||||
\(725\) | −10.4183 | + | 6.01498i | −0.386924 | + | 0.223391i | ||||
\(726\) | 15.8746 | + | 16.1918i | 0.589163 | + | 0.600933i | ||||
\(727\) | − | 5.87923i | − | 0.218049i | −0.994039 | − | 0.109024i | \(-0.965227\pi\) | ||
0.994039 | − | 0.109024i | \(-0.0347726\pi\) | |||||||
\(728\) | −16.6379 | − | 10.5200i | −0.616640 | − | 0.389898i | ||||
\(729\) | −1.60111 | + | 26.9525i | −0.0593002 | + | 0.998240i | ||||
\(730\) | −2.48168 | − | 4.29839i | −0.0918510 | − | 0.159091i | ||||
\(731\) | 4.22751 | + | 7.32227i | 0.156360 | + | 0.270824i | ||||
\(732\) | 0.655260 | − | 2.35217i | 0.0242191 | − | 0.0869386i | ||||
\(733\) | 43.8198i | 1.61852i | 0.587449 | + | 0.809261i | \(0.300132\pi\) | ||||
−0.587449 | + | 0.809261i | \(0.699868\pi\) | |||||||
\(734\) | −26.4768 | + | 45.8592i | −0.977278 | + | 1.69270i | ||||
\(735\) | −22.8199 | + | 1.93311i | −0.841724 | + | 0.0713040i | ||||
\(736\) | −20.8998 | −0.770378 | ||||||||
\(737\) | 5.49786 | + | 3.17419i | 0.202516 | + | 0.116923i | ||||
\(738\) | 24.1477 | − | 39.9777i | 0.888890 | − | 1.47160i | ||||
\(739\) | 3.34440 | + | 5.79267i | 0.123026 | + | 0.213087i | 0.920959 | − | 0.389658i | \(-0.127407\pi\) |
−0.797934 | + | 0.602745i | \(0.794074\pi\) | |||||||
\(740\) | −6.43210 | −0.236449 | ||||||||
\(741\) | 12.4521 | − | 0.418328i | 0.457438 | − | 0.0153677i | ||||
\(742\) | −27.3917 | + | 4.93069i | −1.00558 | + | 0.181011i | ||||
\(743\) | −0.275605 | + | 0.159121i | −0.0101110 | + | 0.00583757i | −0.505047 | − | 0.863092i | \(-0.668525\pi\) |
0.494936 | + | 0.868929i | \(0.335191\pi\) | |||||||
\(744\) | 20.7733 | − | 20.3665i | 0.761587 | − | 0.746671i | ||||
\(745\) | 12.8997 | + | 7.44762i | 0.472607 | + | 0.272860i | ||||
\(746\) | 25.6100i | 0.937649i | ||||||||
\(747\) | −0.338174 | + | 17.0960i | −0.0123731 | + | 0.625509i | ||||
\(748\) | −2.38414 | − | 1.37648i | −0.0871726 | − | 0.0503291i | ||||
\(749\) | 3.09726 | + | 17.2064i | 0.113172 | + | 0.628708i | ||||
\(750\) | 9.37728 | − | 33.6614i | 0.342410 | − | 1.22914i | ||||
\(751\) | 17.2577 | + | 29.8912i | 0.629743 | + | 1.09075i | 0.987603 | + | 0.156971i | \(0.0501730\pi\) |
−0.357861 | + | 0.933775i | \(0.616494\pi\) | |||||||
\(752\) | 21.2953 | + | 36.8845i | 0.776560 | + | 1.34504i | ||||
\(753\) | −9.98097 | − | 38.7795i | −0.363727 | − | 1.41320i | ||||
\(754\) | −33.9836 | + | 37.0745i | −1.23761 | + | 1.35018i | ||||
\(755\) | 41.6086 | 1.51429 | ||||||||
\(756\) | 1.17776 | − | 10.3443i | 0.0428346 | − | 0.376218i | ||||
\(757\) | −23.7061 | − | 41.0602i | −0.861613 | − | 1.49236i | −0.870371 | − | 0.492396i | \(-0.836121\pi\) |
0.00875766 | − | 0.999962i | \(-0.497212\pi\) | |||||||
\(758\) | −19.9199 | − | 11.5008i | −0.723525 | − | 0.417727i | ||||
\(759\) | −3.90589 | − | 15.1757i | −0.141775 | − | 0.550844i | ||||
\(760\) | 3.88812 | − | 6.73443i | 0.141037 | − | 0.244283i | ||||
\(761\) | 8.65414 | − | 14.9894i | 0.313712 | − | 0.543366i | −0.665451 | − | 0.746442i | \(-0.731761\pi\) |
0.979163 | + | 0.203076i | \(0.0650939\pi\) | |||||||
\(762\) | −16.2393 | + | 4.17963i | −0.588287 | + | 0.151412i | ||||
\(763\) | 14.1302 | − | 39.2574i | 0.511546 | − | 1.42121i | ||||
\(764\) | −10.5400 | + | 6.08530i | −0.381326 | + | 0.220158i | ||||
\(765\) | −9.98920 | − | 6.03377i | −0.361160 | − | 0.218151i | ||||
\(766\) | − | 6.50236i | − | 0.234940i | ||||||
\(767\) | 36.6252 | − | 39.9564i | 1.32246 | − | 1.44274i | ||||
\(768\) | −6.86358 | − | 26.6673i | −0.247668 | − | 0.962275i | ||||
\(769\) | 34.6277 | − | 19.9923i | 1.24871 | − | 0.720941i | 0.277854 | − | 0.960623i | \(-0.410377\pi\) |
0.970851 | + | 0.239683i | \(0.0770434\pi\) | |||||||
\(770\) | 9.45570 | + | 11.1876i | 0.340760 | + | 0.403173i | ||||
\(771\) | 13.5307 | + | 3.76935i | 0.487298 | + | 0.135750i | ||||
\(772\) | 6.81562 | 0.245299 | ||||||||
\(773\) | 3.45026 | − | 5.97602i | 0.124097 | − | 0.214943i | −0.797282 | − | 0.603606i | \(-0.793730\pi\) |
0.921380 | + | 0.388664i | \(0.127063\pi\) | |||||||
\(774\) | 20.4479 | + | 0.404478i | 0.734984 | + | 0.0145387i | ||||
\(775\) | 11.6565i | 0.418713i | ||||||||
\(776\) | 3.91222 | − | 6.77616i | 0.140440 | − | 0.243250i | ||||
\(777\) | −11.9255 | + | 16.8042i | −0.427824 | + | 0.602847i | ||||
\(778\) | −7.92446 | − | 13.7256i | −0.284106 | − | 0.492085i | ||||
\(779\) | 18.7047i | 0.670167i | ||||||||
\(780\) | −0.299942 | − | 8.92814i | −0.0107396 | − | 0.319679i | ||||
\(781\) | 14.7125 | 0.526455 | ||||||||
\(782\) | −8.76364 | − | 15.1791i | −0.313387 | − | 0.542802i | ||||
\(783\) | 41.8084 | + | 12.5430i | 1.49411 | + | 0.448249i | ||||
\(784\) | 5.76298 | − | 34.1042i | 0.205821 | − | 1.21801i | ||||
\(785\) | 13.0456i | 0.465618i | ||||||||
\(786\) | 5.19705 | − | 18.6557i | 0.185372 | − | 0.665427i | ||||
\(787\) | 27.8706 | + | 16.0911i | 0.993480 | + | 0.573586i | 0.906313 | − | 0.422608i | \(-0.138885\pi\) |
0.0871676 | + | 0.996194i | \(0.472218\pi\) | |||||||
\(788\) | 10.5100i | 0.374404i | ||||||||
\(789\) | −12.0268 | + | 43.1723i | −0.428166 | + | 1.53698i | ||||
\(790\) | −9.53746 | + | 5.50646i | −0.339328 | + | 0.195911i | ||||
\(791\) | 22.4067 | − | 18.9380i | 0.796691 | − | 0.673359i | ||||
\(792\) | 9.56967 | − | 5.27551i | 0.340043 | − | 0.187457i | ||||
\(793\) | −4.94777 | − | 4.53527i | −0.175700 | − | 0.161052i | ||||
\(794\) | 27.2294 | 0.966335 | ||||||||
\(795\) | 14.5100 | + | 14.7999i | 0.514618 | + | 0.524898i | ||||
\(796\) | 12.4021 | − | 7.16034i | 0.439580 | − | 0.253791i | ||||
\(797\) | −9.77965 | + | 16.9389i | −0.346413 | + | 0.600005i | −0.985609 | − | 0.169039i | \(-0.945934\pi\) |
0.639196 | + | 0.769044i | \(0.279267\pi\) | |||||||
\(798\) | 6.32872 | + | 13.7991i | 0.224034 | + | 0.488483i | ||||
\(799\) | −8.87575 | + | 15.3733i | −0.314002 | + | 0.543867i | ||||
\(800\) | 5.05725 | + | 2.91981i | 0.178801 | + | 0.103231i | ||||
\(801\) | 19.1271 | − | 10.5443i | 0.675823 | − | 0.372563i | ||||
\(802\) | −17.6330 | + | 30.5413i | −0.622643 | + | 1.07845i | ||||
\(803\) | 1.39664 | + | 2.41906i | 0.0492865 | + | 0.0853667i | ||||
\(804\) | 3.36851 | − | 3.30254i | 0.118798 | − | 0.116472i | ||||
\(805\) | 4.53783 | + | 25.2092i | 0.159937 | + | 0.888508i | ||||
\(806\) | 14.6464 | + | 46.4786i | 0.515898 | + | 1.63714i | ||||
\(807\) | 5.34446 | + | 20.7650i | 0.188134 | + | 0.730964i | ||||
\(808\) | −13.7590 | + | 7.94374i | −0.484039 | + | 0.279460i | ||||
\(809\) | 39.3985 | − | 22.7468i | 1.38518 | − | 0.799733i | 0.392412 | − | 0.919790i | \(-0.371641\pi\) |
0.992767 | + | 0.120056i | \(0.0383076\pi\) | |||||||
\(810\) | −24.9859 | + | 13.1365i | −0.877914 | + | 0.461571i | ||||
\(811\) | − | 6.74737i | − | 0.236932i | −0.992958 | − | 0.118466i | \(-0.962202\pi\) | ||
0.992958 | − | 0.118466i | \(-0.0377977\pi\) | |||||||
\(812\) | −15.8364 | − | 5.70011i | −0.555750 | − | 0.200035i | ||||
\(813\) | −3.70572 | + | 13.3023i | −0.129965 | + | 0.466533i | ||||
\(814\) | 13.1798 | 0.461953 | ||||||||
\(815\) | −11.1609 | + | 19.3313i | −0.390950 | + | 0.677146i | ||||
\(816\) | 12.5854 | − | 12.3389i | 0.440576 | − | 0.431948i | ||||
\(817\) | −7.09340 | + | 4.09538i | −0.248167 | + | 0.143279i | ||||
\(818\) | 18.9548 | 0.662738 | ||||||||
\(819\) | −23.8813 | − | 15.7697i | −0.834481 | − | 0.551036i | ||||
\(820\) | 13.4113 | 0.468344 | ||||||||
\(821\) | 33.5554 | − | 19.3732i | 1.17109 | − | 0.676131i | 0.217156 | − | 0.976137i | \(-0.430322\pi\) |
0.953937 | + | 0.300006i | \(0.0969887\pi\) | |||||||
\(822\) | 11.1874 | − | 10.9683i | 0.390207 | − | 0.382565i | ||||
\(823\) | −6.50060 | + | 11.2594i | −0.226597 | + | 0.392477i | −0.956797 | − | 0.290756i | \(-0.906093\pi\) |
0.730201 | + | 0.683233i | \(0.239427\pi\) | |||||||
\(824\) | −15.8125 | −0.550853 | ||||||||
\(825\) | −1.17499 | + | 4.21783i | −0.0409079 | + | 0.146846i | ||||
\(826\) | 62.1420 | + | 22.3672i | 2.16220 | + | 0.778254i | ||||
\(827\) | 33.2615i | 1.15661i | 0.815819 | + | 0.578307i | \(0.196286\pi\) | ||||
−0.815819 | + | 0.578307i | \(0.803714\pi\) | |||||||
\(828\) | −11.6421 | − | 0.230291i | −0.404590 | − | 0.00800316i | ||||
\(829\) | −25.8129 | + | 14.9031i | −0.896518 | + | 0.517605i | −0.876069 | − | 0.482186i | \(-0.839843\pi\) |
−0.0204491 | + | 0.999791i | \(0.506510\pi\) | |||||||
\(830\) | −15.4824 | + | 8.93874i | −0.537400 | + | 0.310268i | ||||
\(831\) | 2.56882 | + | 9.98073i | 0.0891113 | + | 0.346228i | ||||
\(832\) | −10.9510 | − | 2.42964i | −0.379659 | − | 0.0842327i | ||||
\(833\) | 13.5110 | − | 5.02704i | 0.468130 | − | 0.174177i | ||||
\(834\) | −13.5300 | + | 13.2650i | −0.468505 | + | 0.459329i | ||||
\(835\) | 19.7191 | + | 34.1544i | 0.682406 | + | 1.18196i | ||||
\(836\) | 1.33346 | − | 2.30962i | 0.0461186 | − | 0.0798797i | ||||
\(837\) | 30.7804 | − | 29.0062i | 1.06393 | − | 1.00260i | ||||
\(838\) | 10.6554 | + | 6.15187i | 0.368083 | + | 0.212513i | ||||
\(839\) | 2.22160 | − | 3.84792i | 0.0766981 | − | 0.132845i | −0.825125 | − | 0.564950i | \(-0.808896\pi\) |
0.901823 | + | 0.432105i | \(0.142229\pi\) | |||||||
\(840\) | −16.2357 | + | 7.44623i | −0.560186 | + | 0.256919i | ||||
\(841\) | 20.7827 | − | 35.9966i | 0.716644 | − | 1.24126i | ||||
\(842\) | −13.3475 | + | 7.70619i | −0.459985 | + | 0.265573i | ||||
\(843\) | 3.40317 | + | 3.47116i | 0.117212 | + | 0.119553i | ||||
\(844\) | 4.79379 | 0.165009 | ||||||||
\(845\) | −22.2516 | − | 10.3848i | −0.765478 | − | 0.357249i | ||||
\(846\) | 20.7299 | + | 37.6037i | 0.712710 | + | 1.29284i | ||||
\(847\) | 13.4651 | + | 15.9314i | 0.462667 | + | 0.547408i | ||||
\(848\) | −27.1086 | + | 15.6512i | −0.930913 | + | 0.537463i | ||||
\(849\) | −8.45190 | + | 30.3396i | −0.290068 | + | 1.04125i | ||||
\(850\) | 4.89728i | 0.167975i | ||||||||
\(851\) | 19.9589 | + | 11.5233i | 0.684183 | + | 0.395013i | ||||
\(852\) | 2.93386 | − | 10.5316i | 0.100512 | − | 0.360807i | ||||
\(853\) | 45.6230i | 1.56210i | 0.624468 | + | 0.781050i | \(0.285316\pi\) | ||||
−0.624468 | + | 0.781050i | \(0.714684\pi\) | |||||||
\(854\) | 2.76971 | − | 7.69500i | 0.0947776 | − | 0.263317i | ||||
\(855\) | 5.84518 | − | 9.67697i | 0.199901 | − | 0.330945i | ||||
\(856\) | 6.81780 | + | 11.8088i | 0.233028 | + | 0.403616i | ||||
\(857\) | 28.1739 | 0.962402 | 0.481201 | − | 0.876610i | \(-0.340201\pi\) | ||||
0.481201 | + | 0.876610i | \(0.340201\pi\) | |||||||
\(858\) | 0.614603 | + | 18.2944i | 0.0209822 | + | 0.624561i | ||||
\(859\) | − | 46.6399i | − | 1.59133i | −0.605736 | − | 0.795666i | \(-0.707121\pi\) | ||
0.605736 | − | 0.795666i | \(-0.292879\pi\) | |||||||
\(860\) | 2.93639 | + | 5.08598i | 0.100130 | + | 0.173430i | ||||
\(861\) | 24.8653 | − | 35.0378i | 0.847408 | − | 1.19408i | ||||
\(862\) | 28.8693 | − | 50.0031i | 0.983293 | − | 1.70311i | ||||
\(863\) | 26.4635i | 0.900828i | 0.892820 | + | 0.450414i | \(0.148724\pi\) | ||||
−0.892820 | + | 0.450414i | \(0.851276\pi\) | |||||||
\(864\) | −4.87444 | − | 20.6200i | −0.165832 | − | 0.701508i | ||||
\(865\) | 13.3815 | − | 23.1775i | 0.454985 | − | 0.788058i | ||||
\(866\) | 14.5674 | 0.495020 | ||||||||
\(867\) | −21.2883 | − | 5.93042i | −0.722987 | − | 0.201408i | ||||
\(868\) | −12.4556 | + | 10.5274i | −0.422769 | + | 0.357323i | ||||
\(869\) | 5.36751 | − | 3.09893i | 0.182080 | − | 0.105124i | ||||
\(870\) | 11.3749 | + | 44.1954i | 0.385646 | + | 1.49837i | ||||
\(871\) | −3.89731 | − | 12.3677i | −0.132055 | − | 0.419062i | ||||
\(872\) | − | 32.5413i | − | 1.10199i | ||||||
\(873\) | 5.88140 | − | 9.73694i | 0.199055 | − | 0.329545i | ||||
\(874\) | 14.7046 | − | 8.48972i | 0.497391 | − | 0.287169i | ||||
\(875\) | 10.8863 | − | 30.2451i | 0.368024 | − | 1.02247i | ||||
\(876\) | 2.01013 | − | 0.517364i | 0.0679162 | − | 0.0174801i | ||||
\(877\) | −13.8459 | + | 23.9818i | −0.467543 | + | 0.809808i | −0.999312 | − | 0.0370811i | \(-0.988194\pi\) |
0.531769 | + | 0.846889i | \(0.321527\pi\) | |||||||
\(878\) | 18.3588 | − | 31.7985i | 0.619581 | − | 1.07315i | ||||
\(879\) | −11.6919 | − | 45.4270i | −0.394358 | − | 1.53222i | ||||
\(880\) | 14.2676 | + | 8.23739i | 0.480960 | + | 0.277682i | ||||
\(881\) | 24.5265 | + | 42.4812i | 0.826319 | + | 1.43123i | 0.900907 | + | 0.434012i | \(0.142902\pi\) |
−0.0745881 | + | 0.997214i | \(0.523764\pi\) | |||||||
\(882\) | 6.48900 | − | 34.2617i | 0.218496 | − | 1.15365i | ||||
\(883\) | 24.4343 | 0.822278 | 0.411139 | − | 0.911573i | \(-0.365131\pi\) | ||||
0.411139 | + | 0.911573i | \(0.365131\pi\) | |||||||
\(884\) | 1.69006 | + | 5.36321i | 0.0568429 | + | 0.180384i | ||||
\(885\) | −12.2591 | − | 47.6308i | −0.412085 | − | 1.60109i | ||||
\(886\) | −12.6814 | − | 21.9648i | −0.426039 | − | 0.737922i | ||||
\(887\) | 0.579921 | + | 1.00445i | 0.0194718 | + | 0.0337262i | 0.875597 | − | 0.483042i | \(-0.160468\pi\) |
−0.856125 | + | 0.516768i | \(0.827135\pi\) | |||||||
\(888\) | −4.31285 | + | 15.4817i | −0.144730 | + | 0.519532i | ||||
\(889\) | −15.1816 | + | 2.73279i | −0.509174 | + | 0.0916547i | ||||
\(890\) | 19.7756 | + | 11.4175i | 0.662881 | + | 0.382714i | ||||
\(891\) | 14.0616 | − | 7.39301i | 0.471081 | − | 0.247675i | ||||
\(892\) | 2.24862i | 0.0752894i | ||||||||
\(893\) | −14.8927 | − | 8.59833i | −0.498367 | − | 0.287732i | ||||
\(894\) | −16.1950 | + | 15.8778i | −0.541641 | + | 0.531033i | ||||
\(895\) | −7.95507 | + | 4.59286i | −0.265909 | + | 0.153522i | ||||
\(896\) | −6.24403 | − | 34.6878i | −0.208598 | − | 1.15884i | ||||
\(897\) | −15.0643 | + | 28.2416i | −0.502982 | + | 0.942958i | ||||
\(898\) | −4.11733 | −0.137397 | ||||||||
\(899\) | −34.1873 | − | 59.2141i | −1.14021 | − | 1.97490i | ||||
\(900\) | 2.78492 | + | 1.68218i | 0.0928308 | + | 0.0560726i | ||||
\(901\) | −11.2987 | − | 6.52331i | −0.376414 | − | 0.217323i | ||||
\(902\) | −27.4808 | −0.915009 | ||||||||
\(903\) | 18.7316 | + | 1.75821i | 0.623349 | + | 0.0585097i | ||||
\(904\) | 11.4409 | − | 19.8161i | 0.380517 | − | 0.659075i | ||||
\(905\) | − | 42.2787i | − | 1.40539i | ||||||
\(906\) | −17.0017 | + | 61.0307i | −0.564845 | + | 2.02761i | ||||
\(907\) | 22.4425 | + | 38.8715i | 0.745191 | + | 1.29071i | 0.950106 | + | 0.311929i | \(0.100975\pi\) |
−0.204915 | + | 0.978780i | \(0.565692\pi\) | |||||||
\(908\) | 1.32679 | + | 2.29806i | 0.0440310 | + | 0.0762639i | ||||
\(909\) | −20.2276 | + | 11.1509i | −0.670908 | + | 0.369854i | ||||
\(910\) | 1.20333 | − | 29.8964i | 0.0398901 | − | 0.991055i | ||||
\(911\) | 38.0917i | 1.26204i | 0.775768 | + | 0.631018i | \(0.217362\pi\) | ||||
−0.775768 | + | 0.631018i | \(0.782638\pi\) | |||||||
\(912\) | 11.9532 | + | 12.1920i | 0.395811 | + | 0.403718i | ||||
\(913\) | 8.71319 | − | 5.03056i | 0.288364 | − | 0.166487i | ||||
\(914\) | 40.9795 | + | 23.6595i | 1.35548 | + | 0.782588i | ||||
\(915\) | −5.89809 | + | 1.51804i | −0.194985 | + | 0.0501847i | ||||
\(916\) | −0.754438 | − | 0.435575i | −0.0249273 | − | 0.0143918i | ||||
\(917\) | 6.03337 | − | 16.7623i | 0.199240 | − | 0.553541i | ||||
\(918\) | 12.9319 | − | 12.1865i | 0.426817 | − | 0.402214i | ||||
\(919\) | −19.4273 | + | 33.6490i | −0.640846 | + | 1.10998i | 0.344398 | + | 0.938824i | \(0.388083\pi\) |
−0.985244 | + | 0.171155i | \(0.945250\pi\) | |||||||
\(920\) | 9.98882 | + | 17.3011i | 0.329322 | + | 0.570402i | ||||
\(921\) | −29.1691 | − | 29.7518i | −0.961154 | − | 0.980355i | ||||
\(922\) | − | 9.53034i | − | 0.313865i | ||||||
\(923\) | −22.1532 | − | 20.3062i | −0.729180 | − | 0.668387i | ||||
\(924\) | −5.56815 | + | 2.55373i | −0.183179 | + | 0.0840117i | ||||
\(925\) | −3.21972 | − | 5.57671i | −0.105864 | − | 0.183361i | ||||
\(926\) | 4.40663 | − | 2.54417i | 0.144811 | − | 0.0836066i | ||||
\(927\) | −22.9841 | − | 0.454646i | −0.754896 | − | 0.0149325i | ||||
\(928\) | −34.2540 | −1.12444 | ||||||||
\(929\) | −3.91307 | + | 6.77764i | −0.128384 | + | 0.222367i | −0.923051 | − | 0.384679i | \(-0.874312\pi\) |
0.794667 | + | 0.607046i | \(0.207646\pi\) | |||||||
\(930\) | 42.5969 | + | 11.8665i | 1.39681 | + | 0.389119i | ||||
\(931\) | 4.86991 | + | 13.0887i | 0.159605 | + | 0.428966i | ||||
\(932\) | −2.49318 | − | 1.43944i | −0.0816669 | − | 0.0471504i | ||||
\(933\) | −21.0200 | + | 20.6083i | −0.688165 | + | 0.674687i | ||||
\(934\) | 9.62227 | − | 5.55542i | 0.314850 | − | 0.181779i | ||||
\(935\) | 6.86659i | 0.224562i | ||||||||
\(936\) | −21.6907 | − | 5.26455i | −0.708982 | − | 0.172077i | ||||
\(937\) | − | 11.4836i | − | 0.375152i | −0.982250 | − | 0.187576i | \(-0.939937\pi\) | ||
0.982250 | − | 0.187576i | \(-0.0600631\pi\) | |||||||
\(938\) | 12.0674 | − | 10.1993i | 0.394015 | − | 0.333020i | ||||
\(939\) | 16.8729 | + | 17.2100i | 0.550626 | + | 0.561626i | ||||
\(940\) | −6.16501 | + | 10.6781i | −0.201081 | + | 0.348282i | ||||
\(941\) | 27.9073 | 0.909753 | 0.454877 | − | 0.890555i | \(-0.349683\pi\) | ||||
0.454877 | + | 0.890555i | \(0.349683\pi\) | |||||||
\(942\) | −19.1351 | − | 5.33059i | −0.623454 | − | 0.173680i | ||||
\(943\) | −41.6156 | − | 24.0268i | −1.35519 | − | 0.782420i | ||||
\(944\) | 74.2799 | 2.41760 | ||||||||
\(945\) | −23.8134 | + | 10.3566i | −0.774649 | + | 0.336900i | ||||
\(946\) | −6.01688 | − | 10.4215i | −0.195626 | − | 0.338833i | ||||
\(947\) | −39.1246 | + | 22.5886i | −1.27138 | + | 0.734031i | −0.975247 | − | 0.221116i | \(-0.929030\pi\) |
−0.296132 | + | 0.955147i | \(0.595697\pi\) | |||||||
\(948\) | −1.14795 | − | 4.46018i | −0.0372837 | − | 0.144860i | ||||
\(949\) | 1.23581 | − | 5.57011i | 0.0401161 | − | 0.180814i | ||||
\(950\) | −4.74421 | −0.153923 | ||||||||
\(951\) | −18.1002 | − | 18.4618i | −0.586939 | − | 0.598664i | ||||
\(952\) | 8.58722 | − | 7.25788i | 0.278313 | − | 0.235229i | ||||
\(953\) | −11.6804 | − | 6.74369i | −0.378366 | − | 0.218449i | 0.298741 | − | 0.954334i | \(-0.403433\pi\) |
−0.677107 | + | 0.735885i | \(0.736767\pi\) | |||||||
\(954\) | −27.6372 | + | 15.2356i | −0.894787 | + | 0.493272i | ||||
\(955\) | 26.2896 | + | 15.1783i | 0.850711 | + | 0.491158i | ||||
\(956\) | 6.66892 | + | 3.85030i | 0.215688 | + | 0.124528i | ||||
\(957\) | −6.40160 | − | 24.8724i | −0.206934 | − | 0.804010i | ||||
\(958\) | −56.3092 | − | 32.5101i | −1.81927 | − | 1.05036i | ||||
\(959\) | 11.0075 | − | 9.30350i | 0.355451 | − | 0.300426i | ||||
\(960\) | −7.26814 | + | 7.12579i | −0.234578 | + | 0.229984i | ||||
\(961\) | −35.2517 | −1.13715 | ||||||||
\(962\) | −19.8454 | − | 18.1908i | −0.639840 | − | 0.586496i | ||||
\(963\) | 9.57042 | + | 17.3606i | 0.308403 | + | 0.559436i | ||||
\(964\) | −16.8593 | + | 9.73371i | −0.543001 | + | 0.313502i | ||||
\(965\) | −8.49995 | − | 14.7223i | −0.273623 | − | 0.473929i | ||||
\(966\) | −38.8306 | − | 3.64478i | −1.24935 | − | 0.117269i | ||||
\(967\) | −58.6755 | −1.88688 | −0.943438 | − | 0.331548i | \(-0.892429\pi\) | ||||
−0.943438 | + | 0.331548i | \(0.892429\pi\) | |||||||
\(968\) | 14.0894 | + | 8.13455i | 0.452852 | + | 0.261454i | ||||
\(969\) | −1.90974 | + | 6.85535i | −0.0613497 | + | 0.220225i | ||||
\(970\) | 11.8930 | 0.381863 | ||||||||
\(971\) | −17.8554 | + | 30.9264i | −0.573007 | + | 0.992477i | 0.423248 | + | 0.906014i | \(0.360890\pi\) |
−0.996255 | + | 0.0864631i | \(0.972444\pi\) | |||||||
\(972\) | −2.48805 | − | 11.5399i | −0.0798044 | − | 0.370143i | ||||
\(973\) | −13.3124 | + | 11.2516i | −0.426776 | + | 0.360709i | ||||
\(974\) | − | 30.0409i | − | 0.962572i | ||||||
\(975\) | 7.59067 | − | 4.72921i | 0.243096 | − | 0.151456i | ||||
\(976\) | − | 9.19802i | − | 0.294422i | ||||||
\(977\) | −24.0729 | + | 13.8985i | −0.770159 | + | 0.444652i | −0.832931 | − | 0.553376i | \(-0.813339\pi\) |
0.0627723 | + | 0.998028i | \(0.480006\pi\) | |||||||
\(978\) | −23.7943 | − | 24.2696i | −0.760858 | − | 0.776057i | ||||
\(979\) | −11.1294 | − | 6.42554i | −0.355696 | − | 0.205361i | ||||
\(980\) | 9.38464 | − | 3.49173i | 0.299781 | − | 0.111539i | ||||
\(981\) | 0.935639 | − | 47.3001i | 0.0298727 | − | 1.51018i | ||||
\(982\) | −22.2653 | + | 38.5646i | −0.710513 | + | 1.23064i | ||||
\(983\) | 1.94838 | 0.0621436 | 0.0310718 | − | 0.999517i | \(-0.490108\pi\) | ||||
0.0310718 | + | 0.999517i | \(0.490108\pi\) | |||||||
\(984\) | 8.99255 | − | 32.2803i | 0.286672 | − | 1.02906i | ||||
\(985\) | 22.7026 | − | 13.1074i | 0.723365 | − | 0.417635i | ||||
\(986\) | −14.3632 | − | 24.8779i | −0.457419 | − | 0.792272i | ||||
\(987\) | 16.4669 | + | 35.9042i | 0.524146 | + | 1.14284i | ||||
\(988\) | −5.19557 | + | 1.63723i | −0.165293 | + | 0.0520874i | ||||
\(989\) | − | 21.0425i | − | 0.669113i | ||||||
\(990\) | 14.2173 | + | 8.58766i | 0.451855 | + | 0.272934i | ||||
\(991\) | 24.2655 | + | 42.0291i | 0.770819 | + | 1.33510i | 0.937115 | + | 0.349022i | \(0.113486\pi\) |
−0.166296 | + | 0.986076i | \(0.553181\pi\) | |||||||
\(992\) | −16.5952 | + | 28.7438i | −0.526900 | + | 0.912617i | ||||
\(993\) | 5.07238 | + | 19.7079i | 0.160967 | + | 0.625412i | ||||
\(994\) | 12.4011 | − | 34.4536i | 0.393340 | − | 1.09280i | ||||
\(995\) | −30.9339 | − | 17.8597i | −0.980672 | − | 0.566191i | ||||
\(996\) | −1.86349 | − | 7.24029i | −0.0590469 | − | 0.229417i | ||||
\(997\) | 17.8098 | + | 10.2825i | 0.564041 | + | 0.325649i | 0.754766 | − | 0.655995i | \(-0.227751\pi\) |
−0.190725 | + | 0.981643i | \(0.561084\pi\) | |||||||
\(998\) | −23.4302 | + | 13.5274i | −0.741671 | + | 0.428204i | ||||
\(999\) | −6.71403 | + | 22.3793i | −0.212423 | + | 0.708049i |
(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 | 273.2.bn.c.146.7 | ✓ | 64 | |
3.2 | odd | 2 | inner | 273.2.bn.c.146.25 | yes | 64 | |
7.6 | odd | 2 | inner | 273.2.bn.c.146.8 | yes | 64 | |
13.9 | even | 3 | inner | 273.2.bn.c.230.26 | yes | 64 | |
21.20 | even | 2 | inner | 273.2.bn.c.146.26 | yes | 64 | |
39.35 | odd | 6 | inner | 273.2.bn.c.230.8 | yes | 64 | |
91.48 | odd | 6 | inner | 273.2.bn.c.230.25 | yes | 64 | |
273.230 | even | 6 | inner | 273.2.bn.c.230.7 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bn.c.146.7 | ✓ | 64 | 1.1 | even | 1 | trivial | |
273.2.bn.c.146.8 | yes | 64 | 7.6 | odd | 2 | inner | |
273.2.bn.c.146.25 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.bn.c.146.26 | yes | 64 | 21.20 | even | 2 | inner | |
273.2.bn.c.230.7 | yes | 64 | 273.230 | even | 6 | inner | |
273.2.bn.c.230.8 | yes | 64 | 39.35 | odd | 6 | inner | |
273.2.bn.c.230.25 | yes | 64 | 91.48 | odd | 6 | inner | |
273.2.bn.c.230.26 | yes | 64 | 13.9 | even | 3 | inner |