Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,6,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.33036313495\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 7.9 | ||
Character | \(\chi\) | \(=\) | 27.7 |
Dual form | 27.6.e.a.4.9 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.25396 | − | 1.18435i | 0.575225 | − | 0.209365i | −0.0379938 | − | 0.999278i | \(-0.512097\pi\) |
0.613219 | + | 0.789913i | \(0.289875\pi\) | |||||||
\(3\) | −12.0549 | − | 9.88326i | −0.773324 | − | 0.634011i | ||||
\(4\) | −15.3278 | + | 12.8616i | −0.478995 | + | 0.401924i | ||||
\(5\) | −5.36783 | − | 30.4425i | −0.0960227 | − | 0.544572i | −0.994429 | − | 0.105407i | \(-0.966386\pi\) |
0.898406 | − | 0.439165i | \(-0.144726\pi\) | |||||||
\(6\) | −50.9315 | − | 17.8826i | −0.577574 | − | 0.202792i | ||||
\(7\) | −155.790 | − | 130.724i | −1.20170 | − | 1.00834i | −0.999580 | − | 0.0289837i | \(-0.990773\pi\) |
−0.202119 | − | 0.979361i | \(-0.564783\pi\) | |||||||
\(8\) | −90.0483 | + | 155.968i | −0.497451 | + | 0.861611i | ||||
\(9\) | 47.6424 | + | 238.284i | 0.196059 | + | 0.980592i | ||||
\(10\) | −53.5211 | − | 92.7013i | −0.169249 | − | 0.293147i | ||||
\(11\) | 70.5707 | − | 400.226i | 0.175850 | − | 0.997295i | −0.761308 | − | 0.648390i | \(-0.775442\pi\) |
0.937158 | − | 0.348905i | \(-0.113446\pi\) | |||||||
\(12\) | 311.890 | − | 3.55641i | 0.625242 | − | 0.00712949i | ||||
\(13\) | 235.839 | + | 85.8386i | 0.387042 | + | 0.140872i | 0.528210 | − | 0.849114i | \(-0.322863\pi\) |
−0.141168 | + | 0.989986i | \(0.545086\pi\) | |||||||
\(14\) | −661.758 | − | 240.860i | −0.902358 | − | 0.328432i | ||||
\(15\) | −236.162 | + | 420.033i | −0.271008 | + | 0.482010i | ||||
\(16\) | 2.89160 | − | 16.3991i | 0.00282383 | − | 0.0160147i | ||||
\(17\) | −8.80192 | − | 15.2454i | −0.00738678 | − | 0.0127943i | 0.862308 | − | 0.506384i | \(-0.169018\pi\) |
−0.869695 | + | 0.493589i | \(0.835685\pi\) | |||||||
\(18\) | 437.237 | + | 718.942i | 0.318079 | + | 0.523013i | ||||
\(19\) | 977.252 | − | 1692.65i | 0.621044 | − | 1.07568i | −0.368248 | − | 0.929728i | \(-0.620042\pi\) |
0.989292 | − | 0.145952i | \(-0.0466245\pi\) | |||||||
\(20\) | 473.815 | + | 397.578i | 0.264871 | + | 0.222253i | ||||
\(21\) | 586.065 | + | 3115.58i | 0.290000 | + | 1.54167i | ||||
\(22\) | −244.372 | − | 1385.90i | −0.107645 | − | 0.610486i | ||||
\(23\) | −1700.84 | + | 1427.17i | −0.670416 | + | 0.562545i | −0.913188 | − | 0.407538i | \(-0.866387\pi\) |
0.242773 | + | 0.970083i | \(0.421943\pi\) | |||||||
\(24\) | 2627.00 | − | 990.215i | 0.930962 | − | 0.350914i | ||||
\(25\) | 2038.61 | − | 741.993i | 0.652355 | − | 0.237438i | ||||
\(26\) | 869.075 | 0.252130 | ||||||||
\(27\) | 1780.70 | − | 3343.36i | 0.470089 | − | 0.882619i | ||||
\(28\) | 4069.24 | 0.980885 | ||||||||
\(29\) | −7231.79 | + | 2632.16i | −1.59680 | + | 0.581188i | −0.978769 | − | 0.204966i | \(-0.934292\pi\) |
−0.618031 | + | 0.786154i | \(0.712069\pi\) | |||||||
\(30\) | −270.998 | + | 1646.47i | −0.0549747 | + | 0.334003i | ||||
\(31\) | −3420.25 | + | 2869.93i | −0.639224 | + | 0.536373i | −0.903780 | − | 0.427998i | \(-0.859219\pi\) |
0.264556 | + | 0.964370i | \(0.414775\pi\) | |||||||
\(32\) | −1010.76 | − | 5732.33i | −0.174492 | − | 0.989591i | ||||
\(33\) | −4806.26 | + | 4127.23i | −0.768286 | + | 0.659741i | ||||
\(34\) | −46.6969 | − | 39.1834i | −0.00692773 | − | 0.00581306i | ||||
\(35\) | −3143.30 | + | 5444.35i | −0.433726 | + | 0.751235i | ||||
\(36\) | −3794.96 | − | 3039.62i | −0.488035 | − | 0.390897i | ||||
\(37\) | −5000.45 | − | 8661.03i | −0.600489 | − | 1.04008i | −0.992747 | − | 0.120222i | \(-0.961639\pi\) |
0.392258 | − | 0.919855i | \(-0.371694\pi\) | |||||||
\(38\) | 1175.26 | − | 6665.22i | 0.132031 | − | 0.748782i | ||||
\(39\) | −1994.66 | − | 3365.64i | −0.209994 | − | 0.354329i | ||||
\(40\) | 5231.43 | + | 1904.08i | 0.516976 | + | 0.188164i | ||||
\(41\) | −8926.34 | − | 3248.92i | −0.829304 | − | 0.301842i | −0.107731 | − | 0.994180i | \(-0.534358\pi\) |
−0.721573 | + | 0.692338i | \(0.756581\pi\) | |||||||
\(42\) | 5596.96 | + | 9443.88i | 0.489586 | + | 0.826089i | ||||
\(43\) | 2493.84 | − | 14143.3i | 0.205683 | − | 1.16648i | −0.690679 | − | 0.723161i | \(-0.742688\pi\) |
0.896362 | − | 0.443323i | \(-0.146200\pi\) | |||||||
\(44\) | 4065.84 | + | 7042.25i | 0.316606 | + | 0.548377i | ||||
\(45\) | 6998.22 | − | 2729.42i | 0.515177 | − | 0.200927i | ||||
\(46\) | −3844.20 | + | 6658.36i | −0.267862 | + | 0.463951i | ||||
\(47\) | 8652.77 | + | 7260.54i | 0.571361 | + | 0.479429i | 0.882097 | − | 0.471067i | \(-0.156131\pi\) |
−0.310736 | + | 0.950496i | \(0.600576\pi\) | |||||||
\(48\) | −196.935 | + | 169.111i | −0.0123373 | + | 0.0105942i | ||||
\(49\) | 4263.46 | + | 24179.3i | 0.253672 | + | 1.43864i | ||||
\(50\) | 5754.78 | − | 4828.83i | 0.325539 | − | 0.273160i | ||||
\(51\) | −44.5675 | + | 270.774i | −0.00239935 | + | 0.0145774i | ||||
\(52\) | −4718.93 | + | 1717.55i | −0.242011 | + | 0.0880847i | ||||
\(53\) | 26303.5 | 1.28624 | 0.643122 | − | 0.765764i | \(-0.277639\pi\) | ||||
0.643122 | + | 0.765764i | \(0.277639\pi\) | |||||||
\(54\) | 1834.63 | − | 12988.1i | 0.0856178 | − | 0.606124i | ||||
\(55\) | −12562.7 | −0.559984 | ||||||||
\(56\) | 34417.4 | − | 12526.9i | 1.46659 | − | 0.533794i | ||||
\(57\) | −28509.6 | + | 10746.3i | −1.16226 | + | 0.438100i | ||||
\(58\) | −20414.6 | + | 17129.9i | −0.796839 | + | 0.668627i | ||||
\(59\) | −946.623 | − | 5368.57i | −0.0354036 | − | 0.200784i | 0.961976 | − | 0.273135i | \(-0.0880607\pi\) |
−0.997379 | + | 0.0723517i | \(0.976950\pi\) | |||||||
\(60\) | −1782.44 | − | 9475.62i | −0.0639200 | − | 0.339805i | ||||
\(61\) | 29873.8 | + | 25067.1i | 1.02794 | + | 0.862541i | 0.990604 | − | 0.136762i | \(-0.0436695\pi\) |
0.0373325 | + | 0.999303i | \(0.488114\pi\) | |||||||
\(62\) | −7730.37 | + | 13389.4i | −0.255400 | + | 0.442366i | ||||
\(63\) | 23727.1 | − | 43350.3i | 0.753171 | − | 1.37607i | ||||
\(64\) | −9811.61 | − | 16994.2i | −0.299426 | − | 0.518622i | ||||
\(65\) | 1347.19 | − | 7640.31i | 0.0395500 | − | 0.224299i | ||||
\(66\) | −10751.3 | + | 19122.1i | −0.303810 | + | 0.540351i | ||||
\(67\) | −37761.3 | − | 13744.0i | −1.02769 | − | 0.374047i | −0.227486 | − | 0.973781i | \(-0.573051\pi\) |
−0.800199 | + | 0.599734i | \(0.795273\pi\) | |||||||
\(68\) | 330.994 | + | 120.472i | 0.00868056 | + | 0.00315947i | ||||
\(69\) | 34608.6 | − | 394.634i | 0.875108 | − | 0.00997866i | ||||
\(70\) | −3780.18 | + | 21438.5i | −0.0922077 | + | 0.522936i | ||||
\(71\) | 4605.33 | + | 7976.67i | 0.108421 | + | 0.187791i | 0.915131 | − | 0.403157i | \(-0.132087\pi\) |
−0.806710 | + | 0.590948i | \(0.798754\pi\) | |||||||
\(72\) | −41454.8 | − | 14026.4i | −0.942419 | − | 0.318870i | ||||
\(73\) | 19470.2 | − | 33723.5i | 0.427626 | − | 0.740670i | −0.569036 | − | 0.822313i | \(-0.692683\pi\) |
0.996662 | + | 0.0816427i | \(0.0260166\pi\) | |||||||
\(74\) | −26528.9 | − | 22260.4i | −0.563171 | − | 0.472557i | ||||
\(75\) | −31908.6 | − | 11203.4i | −0.655019 | − | 0.229984i | ||||
\(76\) | 6790.99 | + | 38513.6i | 0.134865 | + | 0.764857i | ||||
\(77\) | −63313.3 | + | 53126.1i | −1.21694 | + | 1.02113i | ||||
\(78\) | −10476.6 | − | 8589.30i | −0.194978 | − | 0.159853i | ||||
\(79\) | 32368.6 | − | 11781.2i | 0.583521 | − | 0.212384i | −0.0333566 | − | 0.999444i | \(-0.510620\pi\) |
0.616877 | + | 0.787059i | \(0.288397\pi\) | |||||||
\(80\) | −514.751 | −0.00899233 | ||||||||
\(81\) | −54509.4 | + | 22704.8i | −0.923122 | + | 0.384508i | ||||
\(82\) | −32893.8 | −0.540231 | ||||||||
\(83\) | 94313.3 | − | 34327.2i | 1.50272 | − | 0.546945i | 0.545956 | − | 0.837814i | \(-0.316167\pi\) |
0.956763 | + | 0.290869i | \(0.0939445\pi\) | |||||||
\(84\) | −49054.4 | − | 40217.3i | −0.758542 | − | 0.621892i | ||||
\(85\) | −416.860 | + | 349.787i | −0.00625811 | + | 0.00525117i | ||||
\(86\) | −8635.66 | − | 48975.2i | −0.125907 | − | 0.714053i | ||||
\(87\) | 113193. | + | 39743.2i | 1.60332 | + | 0.562943i | ||||
\(88\) | 56067.8 | + | 47046.5i | 0.771804 | + | 0.647620i | ||||
\(89\) | −53803.2 | + | 93189.9i | −0.720001 | + | 1.24708i | 0.240997 | + | 0.970526i | \(0.422526\pi\) |
−0.960999 | + | 0.276553i | \(0.910808\pi\) | |||||||
\(90\) | 19539.4 | − | 17169.7i | 0.254275 | − | 0.223438i | ||||
\(91\) | −25520.4 | − | 44202.6i | −0.323061 | − | 0.559557i | ||||
\(92\) | 7714.48 | − | 43751.0i | 0.0950248 | − | 0.538912i | ||||
\(93\) | 69595.0 | − | 793.576i | 0.834393 | − | 0.00951439i | ||||
\(94\) | 36754.8 | + | 13377.6i | 0.429036 | + | 0.156156i | ||||
\(95\) | −56774.2 | − | 20664.1i | −0.645419 | − | 0.234913i | ||||
\(96\) | −44469.4 | + | 79092.4i | −0.492474 | + | 0.875904i | ||||
\(97\) | 19377.6 | − | 109896.i | 0.209108 | − | 1.18591i | −0.681736 | − | 0.731598i | \(-0.738775\pi\) |
0.890844 | − | 0.454310i | \(-0.150114\pi\) | |||||||
\(98\) | 42509.8 | + | 73629.1i | 0.447120 | + | 0.774434i | ||||
\(99\) | 98729.6 | − | 2251.87i | 1.01242 | − | 0.0230917i | ||||
\(100\) | −21704.2 | + | 37592.8i | −0.217042 | + | 0.375928i | ||||
\(101\) | −11288.8 | − | 9472.43i | −0.110114 | − | 0.0923970i | 0.586068 | − | 0.810262i | \(-0.300675\pi\) |
−0.696183 | + | 0.717865i | \(0.745120\pi\) | |||||||
\(102\) | 175.668 | + | 933.870i | 0.00167183 | + | 0.00888763i | ||||
\(103\) | −15056.6 | − | 85390.1i | −0.139841 | − | 0.793075i | −0.971366 | − | 0.237588i | \(-0.923643\pi\) |
0.831525 | − | 0.555487i | \(-0.187468\pi\) | |||||||
\(104\) | −34625.0 | + | 29053.9i | −0.313911 | + | 0.263403i | ||||
\(105\) | 91700.1 | − | 34565.2i | 0.811702 | − | 0.305961i | ||||
\(106\) | 85590.5 | − | 31152.4i | 0.739879 | − | 0.269294i | ||||
\(107\) | −78178.5 | −0.660128 | −0.330064 | − | 0.943959i | \(-0.607070\pi\) | ||||
−0.330064 | + | 0.943959i | \(0.607070\pi\) | |||||||
\(108\) | 15706.6 | + | 74148.9i | 0.129576 | + | 0.611710i | ||||
\(109\) | −63846.5 | −0.514720 | −0.257360 | − | 0.966316i | \(-0.582853\pi\) | ||||
−0.257360 | + | 0.966316i | \(0.582853\pi\) | |||||||
\(110\) | −40878.5 | + | 14878.6i | −0.322117 | + | 0.117241i | ||||
\(111\) | −25319.2 | + | 153829.i | −0.195048 | + | 1.18503i | ||||
\(112\) | −2594.23 | + | 2176.82i | −0.0195418 | + | 0.0163975i | ||||
\(113\) | −9442.43 | − | 53550.7i | −0.0695645 | − | 0.394520i | −0.999632 | − | 0.0271310i | \(-0.991363\pi\) |
0.930067 | − | 0.367389i | \(-0.119748\pi\) | |||||||
\(114\) | −80041.8 | + | 68733.4i | −0.576839 | + | 0.495342i | ||||
\(115\) | 52576.6 | + | 44117.0i | 0.370721 | + | 0.311072i | ||||
\(116\) | 76993.9 | − | 133357.i | 0.531265 | − | 0.920178i | ||||
\(117\) | −9217.99 | + | 60286.3i | −0.0622546 | + | 0.407150i | ||||
\(118\) | −9438.51 | − | 16348.0i | −0.0624020 | − | 0.108083i | ||||
\(119\) | −621.677 | + | 3525.70i | −0.00402436 | + | 0.0228233i | ||||
\(120\) | −44245.9 | − | 74657.1i | −0.280492 | − | 0.473280i | ||||
\(121\) | −3862.36 | − | 1405.78i | −0.0239822 | − | 0.00872882i | ||||
\(122\) | 126896. | + | 46186.5i | 0.771880 | + | 0.280941i | ||||
\(123\) | 75496.4 | + | 127387.i | 0.449949 | + | 0.759209i | ||||
\(124\) | 15513.2 | − | 87979.5i | 0.0906037 | − | 0.513839i | ||||
\(125\) | −81831.2 | − | 141736.i | −0.468429 | − | 0.811343i | ||||
\(126\) | 25865.4 | − | 169161.i | 0.145142 | − | 0.949238i | ||||
\(127\) | 111792. | − | 193629.i | 0.615037 | − | 1.06528i | −0.375341 | − | 0.926887i | \(-0.622474\pi\) |
0.990378 | − | 0.138389i | \(-0.0441924\pi\) | |||||||
\(128\) | 90633.0 | + | 76050.2i | 0.488947 | + | 0.410275i | ||||
\(129\) | −169845. | + | 145849.i | −0.898623 | + | 0.771664i | ||||
\(130\) | −4665.05 | − | 26456.8i | −0.0242102 | − | 0.137303i | ||||
\(131\) | −123581. | + | 103696.i | −0.629176 | + | 0.527941i | −0.900673 | − | 0.434498i | \(-0.856926\pi\) |
0.271497 | + | 0.962439i | \(0.412481\pi\) | |||||||
\(132\) | 20586.9 | − | 125078.i | 0.102839 | − | 0.624805i | ||||
\(133\) | −373516. | + | 135949.i | −1.83096 | + | 0.666416i | ||||
\(134\) | −139152. | −0.669462 | ||||||||
\(135\) | −111339. | − | 36262.2i | −0.525788 | − | 0.171246i | ||||
\(136\) | 3170.39 | 0.0146983 | ||||||||
\(137\) | −331331. | + | 120595.i | −1.50821 | + | 0.548942i | −0.958170 | − | 0.286199i | \(-0.907608\pi\) |
−0.550036 | + | 0.835141i | \(0.685386\pi\) | |||||||
\(138\) | 112148. | − | 42272.7i | 0.501295 | − | 0.188957i | ||||
\(139\) | −102805. | + | 86263.2i | −0.451310 | + | 0.378694i | −0.839922 | − | 0.542707i | \(-0.817399\pi\) |
0.388612 | + | 0.921402i | \(0.372955\pi\) | |||||||
\(140\) | −21843.0 | − | 123878.i | −0.0941872 | − | 0.534162i | ||||
\(141\) | −32550.7 | − | 173043.i | −0.137884 | − | 0.733003i | ||||
\(142\) | 24432.7 | + | 20501.5i | 0.101684 | + | 0.0853226i | ||||
\(143\) | 50998.2 | − | 88331.5i | 0.208552 | − | 0.361223i | ||||
\(144\) | 4045.40 | − | 92.2696i | 0.0162576 | − | 0.000370811i | ||||
\(145\) | 118948. | + | 206025.i | 0.469827 | + | 0.813765i | ||||
\(146\) | 23415.2 | − | 132794.i | 0.0909109 | − | 0.515582i | ||||
\(147\) | 187575. | − | 333617.i | 0.715947 | − | 1.27337i | ||||
\(148\) | 188041. | + | 68441.2i | 0.705663 | + | 0.256840i | ||||
\(149\) | 457105. | + | 166373.i | 1.68675 | + | 0.613927i | 0.994210 | − | 0.107453i | \(-0.0342696\pi\) |
0.692539 | + | 0.721380i | \(0.256492\pi\) | |||||||
\(150\) | −117098. | + | 1335.24i | −0.424934 | + | 0.00484542i | ||||
\(151\) | 8704.69 | − | 49366.8i | 0.0310678 | − | 0.176194i | −0.965325 | − | 0.261049i | \(-0.915932\pi\) |
0.996393 | + | 0.0848547i | \(0.0270426\pi\) | |||||||
\(152\) | 176000. | + | 304841.i | 0.617879 | + | 1.07020i | ||||
\(153\) | 3213.38 | − | 2823.68i | 0.0110977 | − | 0.00975186i | ||||
\(154\) | −143099. | + | 247855.i | −0.486223 | + | 0.842163i | ||||
\(155\) | 105727. | + | 88715.5i | 0.353473 | + | 0.296599i | ||||
\(156\) | 73861.3 | + | 25933.4i | 0.242999 | + | 0.0853196i | ||||
\(157\) | 45321.4 | + | 257030.i | 0.146742 | + | 0.832214i | 0.965952 | + | 0.258721i | \(0.0833010\pi\) |
−0.819210 | + | 0.573493i | \(0.805588\pi\) | |||||||
\(158\) | 91373.2 | − | 76671.2i | 0.291190 | − | 0.244337i | ||||
\(159\) | −317086. | − | 259964.i | −0.994683 | − | 0.815493i | ||||
\(160\) | −169081. | + | 61540.3i | −0.522148 | + | 0.190046i | ||||
\(161\) | 451540. | 1.37288 | ||||||||
\(162\) | −150481. | + | 138439.i | −0.450500 | + | 0.414448i | ||||
\(163\) | 444276. | 1.30974 | 0.654868 | − | 0.755743i | \(-0.272724\pi\) | ||||
0.654868 | + | 0.755743i | \(0.272724\pi\) | |||||||
\(164\) | 178608. | − | 65007.8i | 0.518550 | − | 0.188737i | ||||
\(165\) | 151442. | + | 124160.i | 0.433049 | + | 0.355037i | ||||
\(166\) | 266237. | − | 223399.i | 0.749890 | − | 0.629232i | ||||
\(167\) | −53077.8 | − | 301019.i | −0.147273 | − | 0.835224i | −0.965514 | − | 0.260350i | \(-0.916162\pi\) |
0.818242 | − | 0.574874i | \(-0.194949\pi\) | |||||||
\(168\) | −538706. | − | 189145.i | −1.47258 | − | 0.517038i | ||||
\(169\) | −236175. | − | 198174.i | −0.636088 | − | 0.533741i | ||||
\(170\) | −942.178 | + | 1631.90i | −0.00250041 | + | 0.00433083i | ||||
\(171\) | 449890. | + | 152221.i | 1.17656 | + | 0.398094i | ||||
\(172\) | 143680. | + | 248860.i | 0.370317 | + | 0.641408i | ||||
\(173\) | −85060.9 | + | 482404.i | −0.216080 | + | 1.22545i | 0.662942 | + | 0.748670i | \(0.269307\pi\) |
−0.879022 | + | 0.476780i | \(0.841804\pi\) | |||||||
\(174\) | 415395. | − | 4736.65i | 1.04013 | − | 0.0118604i | ||||
\(175\) | −414592. | − | 150899.i | −1.02335 | − | 0.372470i | ||||
\(176\) | −6359.29 | − | 2314.59i | −0.0154749 | − | 0.00563239i | ||||
\(177\) | −41647.5 | + | 74073.4i | −0.0999207 | + | 0.177717i | ||||
\(178\) | −64704.6 | + | 366958.i | −0.153068 | + | 0.868093i | ||||
\(179\) | −214987. | − | 372369.i | −0.501511 | − | 0.868642i | −0.999998 | − | 0.00174530i | \(-0.999444\pi\) |
0.498488 | − | 0.866897i | \(-0.333889\pi\) | |||||||
\(180\) | −72162.8 | + | 131844.i | −0.166009 | + | 0.303305i | ||||
\(181\) | −155081. | + | 268607.i | −0.351853 | + | 0.609427i | −0.986574 | − | 0.163314i | \(-0.947782\pi\) |
0.634721 | + | 0.772741i | \(0.281115\pi\) | |||||||
\(182\) | −135394. | − | 113609.i | −0.302984 | − | 0.254234i | ||||
\(183\) | −112382. | − | 597433.i | −0.248067 | − | 1.31875i | ||||
\(184\) | −69436.1 | − | 393792.i | −0.151196 | − | 0.857477i | ||||
\(185\) | −236822. | + | 198717.i | −0.508736 | + | 0.426880i | ||||
\(186\) | 225520. | − | 85006.8i | 0.477972 | − | 0.180165i | ||||
\(187\) | −6722.76 | + | 2446.88i | −0.0140586 | + | 0.00511693i | ||||
\(188\) | −226010. | −0.466373 | ||||||||
\(189\) | −714471. | + | 288084.i | −1.45489 | + | 0.586630i | ||||
\(190\) | −209214. | −0.420444 | ||||||||
\(191\) | −257726. | + | 93804.6i | −0.511181 | + | 0.186055i | −0.584716 | − | 0.811238i | \(-0.698794\pi\) |
0.0735352 | + | 0.997293i | \(0.476572\pi\) | |||||||
\(192\) | −49679.9 | + | 301834.i | −0.0972586 | + | 0.590902i | ||||
\(193\) | 202595. | − | 169997.i | 0.391502 | − | 0.328510i | −0.425696 | − | 0.904866i | \(-0.639971\pi\) |
0.817198 | + | 0.576357i | \(0.195526\pi\) | |||||||
\(194\) | −67100.5 | − | 380546.i | −0.128003 | − | 0.725944i | ||||
\(195\) | −91751.4 | + | 78788.7i | −0.172793 | + | 0.148381i | ||||
\(196\) | −376334. | − | 315781.i | −0.699734 | − | 0.587146i | ||||
\(197\) | 435841. | − | 754899.i | 0.800134 | − | 1.38587i | −0.119394 | − | 0.992847i | \(-0.538095\pi\) |
0.919528 | − | 0.393025i | \(-0.128572\pi\) | |||||||
\(198\) | 318595. | − | 124257.i | 0.577533 | − | 0.225247i | ||||
\(199\) | −112026. | − | 194035.i | −0.200534 | − | 0.347334i | 0.748167 | − | 0.663511i | \(-0.230934\pi\) |
−0.948700 | + | 0.316176i | \(0.897601\pi\) | |||||||
\(200\) | −67845.9 | + | 384773.i | −0.119936 | + | 0.680190i | ||||
\(201\) | 319374. | + | 538888.i | 0.557583 | + | 0.940823i | ||||
\(202\) | −47952.0 | − | 17453.1i | −0.0826852 | − | 0.0300950i | ||||
\(203\) | 1.47073e6 | + | 535301.i | 2.50491 | + | 0.911713i | ||||
\(204\) | −2799.45 | − | 4723.58i | −0.00470975 | − | 0.00794686i | ||||
\(205\) | −50990.2 | + | 289180.i | −0.0847426 | + | 0.480599i | ||||
\(206\) | −150125. | − | 260024.i | −0.246482 | − | 0.426919i | ||||
\(207\) | −421105. | − | 337289.i | −0.683069 | − | 0.547112i | ||||
\(208\) | 2089.63 | − | 3619.34i | 0.00334897 | − | 0.00580058i | ||||
\(209\) | −608477. | − | 510573.i | −0.963560 | − | 0.808523i | ||||
\(210\) | 257452. | − | 221078.i | 0.402854 | − | 0.345938i | ||||
\(211\) | −53751.3 | − | 304839.i | −0.0831157 | − | 0.471372i | −0.997747 | − | 0.0670841i | \(-0.978630\pi\) |
0.914632 | − | 0.404288i | \(-0.132481\pi\) | |||||||
\(212\) | −403175. | + | 338304.i | −0.616104 | + | 0.516972i | ||||
\(213\) | 23318.5 | − | 141674.i | 0.0352170 | − | 0.213964i | ||||
\(214\) | −254390. | + | 92590.4i | −0.379722 | + | 0.138207i | ||||
\(215\) | −443943. | −0.654984 | ||||||||
\(216\) | 361109. | + | 578796.i | 0.526628 | + | 0.844094i | ||||
\(217\) | 908009. | 1.30900 | ||||||||
\(218\) | −207754. | + | 75616.3i | −0.296080 | + | 0.107764i | ||||
\(219\) | −568010. | + | 214104.i | −0.800287 | + | 0.301658i | ||||
\(220\) | 192559. | − | 161576.i | 0.268230 | − | 0.225071i | ||||
\(221\) | −767.200 | − | 4351.01i | −0.00105664 | − | 0.00599251i | ||||
\(222\) | 99798.8 | + | 530540.i | 0.135907 | + | 0.722496i | ||||
\(223\) | 328314. | + | 275488.i | 0.442106 | + | 0.370971i | 0.836497 | − | 0.547972i | \(-0.184600\pi\) |
−0.394391 | + | 0.918943i | \(0.629044\pi\) | |||||||
\(224\) | −591883. | + | 1.02517e6i | −0.788163 | + | 1.36514i | ||||
\(225\) | 273929. | + | 450417.i | 0.360730 | + | 0.593142i | ||||
\(226\) | −94147.9 | − | 163069.i | −0.122614 | − | 0.212373i | ||||
\(227\) | −69528.6 | + | 394316.i | −0.0895569 | + | 0.507902i | 0.906723 | + | 0.421727i | \(0.138576\pi\) |
−0.996280 | + | 0.0861758i | \(0.972535\pi\) | |||||||
\(228\) | 298775. | − | 531396.i | 0.380634 | − | 0.676988i | ||||
\(229\) | 585239. | + | 213009.i | 0.737470 | + | 0.268417i | 0.683323 | − | 0.730116i | \(-0.260534\pi\) |
0.0541466 | + | 0.998533i | \(0.482756\pi\) | |||||||
\(230\) | 223332. | + | 81286.2i | 0.278376 | + | 0.101320i | ||||
\(231\) | 1.28830e6 | − | 14690.1i | 1.58849 | − | 0.0181132i | ||||
\(232\) | 240678. | − | 1.36495e6i | 0.293573 | − | 1.66493i | ||||
\(233\) | −514464. | − | 891078.i | −0.620820 | − | 1.07529i | −0.989333 | − | 0.145669i | \(-0.953467\pi\) |
0.368514 | − | 0.929622i | \(-0.379867\pi\) | |||||||
\(234\) | 41404.8 | + | 207087.i | 0.0494323 | + | 0.247236i | ||||
\(235\) | 174582. | − | 302385.i | 0.206220 | − | 0.357183i | ||||
\(236\) | 83557.9 | + | 70113.4i | 0.0976579 | + | 0.0819447i | ||||
\(237\) | −506638. | − | 177886.i | −0.585904 | − | 0.205717i | ||||
\(238\) | 2152.74 | + | 12208.8i | 0.00246348 | + | 0.0139711i | ||||
\(239\) | −750325. | + | 629598.i | −0.849679 | + | 0.712965i | −0.959719 | − | 0.280962i | \(-0.909347\pi\) |
0.110040 | + | 0.993927i | \(0.464902\pi\) | |||||||
\(240\) | 6205.28 | + | 5087.42i | 0.00695398 | + | 0.00570124i | ||||
\(241\) | 870045. | − | 316670.i | 0.964937 | − | 0.351208i | 0.188971 | − | 0.981983i | \(-0.439485\pi\) |
0.775966 | + | 0.630774i | \(0.217263\pi\) | |||||||
\(242\) | −14232.9 | −0.0156227 | ||||||||
\(243\) | 881504. | + | 265026.i | 0.957654 | + | 0.287920i | ||||
\(244\) | −780303. | −0.839052 | ||||||||
\(245\) | 713193. | − | 259581.i | 0.759087 | − | 0.276285i | ||||
\(246\) | 396532. | + | 325098.i | 0.417773 | + | 0.342513i | ||||
\(247\) | 375769. | − | 315308.i | 0.391903 | − | 0.328846i | ||||
\(248\) | −139630. | − | 791882.i | −0.144162 | − | 0.817582i | ||||
\(249\) | −1.47620e6 | − | 518310.i | −1.50886 | − | 0.529775i | ||||
\(250\) | −434140. | − | 364286.i | −0.439318 | − | 0.368632i | ||||
\(251\) | −125734. | + | 217778.i | −0.125970 | + | 0.218187i | −0.922112 | − | 0.386923i | \(-0.873538\pi\) |
0.796141 | + | 0.605111i | \(0.206871\pi\) | |||||||
\(252\) | 193868. | + | 969634.i | 0.192312 | + | 0.961848i | ||||
\(253\) | 451163. | + | 781438.i | 0.443131 | + | 0.767526i | ||||
\(254\) | 134443. | − | 762463.i | 0.130754 | − | 0.741540i | ||||
\(255\) | 8482.25 | − | 96.7211i | 0.00816885 | − | 9.31474e-5i | ||||
\(256\) | 975059. | + | 354893.i | 0.929889 | + | 0.338452i | ||||
\(257\) | −23240.0 | − | 8458.66i | −0.0219484 | − | 0.00798856i | 0.331023 | − | 0.943623i | \(-0.392606\pi\) |
−0.352971 | + | 0.935634i | \(0.614829\pi\) | |||||||
\(258\) | −379933. | + | 675741.i | −0.355351 | + | 0.632020i | ||||
\(259\) | −353180. | + | 2.00298e6i | −0.327150 | + | 1.85536i | ||||
\(260\) | 77616.8 | + | 134436.i | 0.0712070 | + | 0.123334i | ||||
\(261\) | −971740. | − | 1.59782e6i | −0.882975 | − | 1.45186i | ||||
\(262\) | −279314. | + | 483786.i | −0.251385 | + | 0.435412i | ||||
\(263\) | 715728. | + | 600568.i | 0.638056 | + | 0.535393i | 0.903421 | − | 0.428755i | \(-0.141048\pi\) |
−0.265364 | + | 0.964148i | \(0.585492\pi\) | |||||||
\(264\) | −210921. | − | 1.12127e6i | −0.186256 | − | 0.990153i | ||||
\(265\) | −141193. | − | 800743.i | −0.123509 | − | 0.700452i | ||||
\(266\) | −1.05440e6 | + | 884743.i | −0.913692 | + | 0.766678i | ||||
\(267\) | 1.56961e6 | − | 591646.i | 1.34746 | − | 0.507907i | ||||
\(268\) | 755568. | − | 275004.i | 0.642594 | − | 0.233885i | ||||
\(269\) | 261478. | 0.220320 | 0.110160 | − | 0.993914i | \(-0.464864\pi\) | ||||
0.110160 | + | 0.993914i | \(0.464864\pi\) | |||||||
\(270\) | −405238. | + | 13867.3i | −0.338299 | + | 0.0115767i | ||||
\(271\) | −2.14349e6 | −1.77296 | −0.886478 | − | 0.462771i | \(-0.846855\pi\) | ||||
−0.886478 | + | 0.462771i | \(0.846855\pi\) | |||||||
\(272\) | −275.462 | + | 100.260i | −0.000225756 | + | 8.21686e-5i | ||||
\(273\) | −129220. | + | 785084.i | −0.104935 | + | 0.637543i | ||||
\(274\) | −935313. | + | 784821.i | −0.752629 | + | 0.631530i | ||||
\(275\) | −153099. | − | 868267.i | −0.122079 | − | 0.692344i | ||||
\(276\) | −525400. | + | 451171.i | −0.415162 | + | 0.356507i | ||||
\(277\) | 594258. | + | 498642.i | 0.465346 | + | 0.390471i | 0.845093 | − | 0.534619i | \(-0.179545\pi\) |
−0.379748 | + | 0.925090i | \(0.623989\pi\) | |||||||
\(278\) | −232357. | + | 402453.i | −0.180320 | + | 0.312323i | ||||
\(279\) | −846806. | − | 678259.i | −0.651289 | − | 0.521657i | ||||
\(280\) | −566097. | − | 980509.i | −0.431515 | − | 0.747406i | ||||
\(281\) | 261796. | − | 1.48472e6i | 0.197787 | − | 1.12170i | −0.710607 | − | 0.703589i | \(-0.751580\pi\) |
0.908394 | − | 0.418115i | \(-0.137309\pi\) | |||||||
\(282\) | −310861. | − | 524523.i | −0.232779 | − | 0.392773i | ||||
\(283\) | −2.34865e6 | − | 854837.i | −1.74322 | − | 0.634479i | −0.743793 | − | 0.668410i | \(-0.766975\pi\) |
−0.999424 | + | 0.0339303i | \(0.989198\pi\) | |||||||
\(284\) | −173182. | − | 63033.1i | −0.127411 | − | 0.0463738i | ||||
\(285\) | 480180. | + | 810218.i | 0.350180 | + | 0.590867i | ||||
\(286\) | 61331.2 | − | 347827.i | 0.0443370 | − | 0.251448i | ||||
\(287\) | 965927. | + | 1.67303e6i | 0.692212 | + | 1.19895i | ||||
\(288\) | 1.31777e6 | − | 513950.i | 0.936175 | − | 0.365124i | ||||
\(289\) | 709774. | − | 1.22936e6i | 0.499891 | − | 0.865836i | ||||
\(290\) | 631058. | + | 529520.i | 0.440630 | + | 0.369732i | ||||
\(291\) | −1.31972e6 | + | 1.13327e6i | −0.913587 | + | 0.784515i | ||||
\(292\) | 135300. | + | 767325.i | 0.0928627 | + | 0.526650i | ||||
\(293\) | 835977. | − | 701468.i | 0.568886 | − | 0.477352i | −0.312390 | − | 0.949954i | \(-0.601130\pi\) |
0.881276 | + | 0.472602i | \(0.156685\pi\) | |||||||
\(294\) | 215243. | − | 1.30773e6i | 0.145232 | − | 0.882367i | ||||
\(295\) | −158351. | + | 57635.1i | −0.105942 | + | 0.0385596i | ||||
\(296\) | 1.80113e6 | 1.19486 | ||||||||
\(297\) | −1.21243e6 | − | 948624.i | −0.797566 | − | 0.624027i | ||||
\(298\) | 1.68445e6 | 1.09879 | ||||||||
\(299\) | −523632. | + | 190586.i | −0.338726 | + | 0.123286i | ||||
\(300\) | 633183. | − | 238670.i | 0.406187 | − | 0.153107i | ||||
\(301\) | −2.23738e6 | + | 1.87738e6i | −1.42339 | + | 1.19436i | ||||
\(302\) | −30142.6 | − | 170947.i | −0.0190179 | − | 0.107856i | ||||
\(303\) | 42467.2 | + | 225760.i | 0.0265734 | + | 0.141267i | ||||
\(304\) | −24932.1 | − | 20920.5i | −0.0154730 | − | 0.0129834i | ||||
\(305\) | 602748. | − | 1.04399e6i | 0.371010 | − | 0.642609i | ||||
\(306\) | 7112.01 | − | 12993.9i | 0.00434199 | − | 0.00793298i | ||||
\(307\) | −72394.9 | − | 125392.i | −0.0438392 | − | 0.0759317i | 0.843273 | − | 0.537485i | \(-0.180626\pi\) |
−0.887112 | + | 0.461553i | \(0.847292\pi\) | |||||||
\(308\) | 287169. | − | 1.62862e6i | 0.172489 | − | 0.978232i | ||||
\(309\) | −662426. | + | 1.17818e6i | −0.394677 | + | 0.701964i | ||||
\(310\) | 449101. | + | 163460.i | 0.265424 | + | 0.0966065i | ||||
\(311\) | 1.14442e6 | + | 416533.i | 0.670938 | + | 0.244202i | 0.654952 | − | 0.755671i | \(-0.272689\pi\) |
0.0159865 | + | 0.999872i | \(0.494911\pi\) | |||||||
\(312\) | 704549. | − | 8033.81i | 0.409755 | − | 0.00467235i | ||||
\(313\) | −292316. | + | 1.65780e6i | −0.168652 | + | 0.956473i | 0.776567 | + | 0.630035i | \(0.216959\pi\) |
−0.945219 | + | 0.326438i | \(0.894152\pi\) | |||||||
\(314\) | 451887. | + | 782690.i | 0.258646 | + | 0.447988i | ||||
\(315\) | −1.44705e6 | − | 489615.i | −0.821691 | − | 0.278021i | ||||
\(316\) | −344615. | + | 596891.i | −0.194141 | + | 0.336262i | ||||
\(317\) | −424332. | − | 356057.i | −0.237169 | − | 0.199008i | 0.516455 | − | 0.856314i | \(-0.327251\pi\) |
−0.753624 | + | 0.657306i | \(0.771696\pi\) | |||||||
\(318\) | −1.33967e6 | − | 470373.i | −0.742902 | − | 0.260840i | ||||
\(319\) | 543105. | + | 3.08010e6i | 0.298818 | + | 1.69468i | ||||
\(320\) | −464679. | + | 389912.i | −0.253675 | + | 0.212859i | ||||
\(321\) | 942436. | + | 772659.i | 0.510493 | + | 0.418529i | ||||
\(322\) | 1.46929e6 | − | 534779.i | 0.789713 | − | 0.287432i | ||||
\(323\) | −34406.8 | −0.0183501 | ||||||||
\(324\) | 543491. | − | 1.04909e6i | 0.287627 | − | 0.555202i | ||||
\(325\) | 544476. | 0.285937 | ||||||||
\(326\) | 1.44566e6 | − | 526176.i | 0.753393 | − | 0.274212i | ||||
\(327\) | 769665. | + | 631012.i | 0.398045 | + | 0.326338i | ||||
\(328\) | 1.31053e6 | − | 1.09967e6i | 0.672609 | − | 0.564386i | ||||
\(329\) | −398894. | − | 2.26224e6i | −0.203174 | − | 1.15226i | ||||
\(330\) | 639836. | + | 224653.i | 0.323433 | + | 0.113561i | ||||
\(331\) | −523071. | − | 438909.i | −0.262416 | − | 0.220193i | 0.502081 | − | 0.864821i | \(-0.332568\pi\) |
−0.764497 | + | 0.644627i | \(0.777013\pi\) | |||||||
\(332\) | −1.00412e6 | + | 1.73918e6i | −0.499964 | + | 0.865962i | ||||
\(333\) | 1.82555e6 | − | 1.60416e6i | 0.902160 | − | 0.792751i | ||||
\(334\) | −529224. | − | 916643.i | −0.259581 | − | 0.449608i | ||||
\(335\) | −215705. | + | 1.22332e6i | −0.105014 | + | 0.595565i | ||||
\(336\) | 52787.4 | − | 601.922i | 0.0255083 | − | 0.000290865i | ||||
\(337\) | 105313. | + | 38330.8i | 0.0505135 | + | 0.0183854i | 0.367153 | − | 0.930160i | \(-0.380332\pi\) |
−0.316640 | + | 0.948546i | \(0.602555\pi\) | |||||||
\(338\) | −1.00321e6 | − | 365139.i | −0.477640 | − | 0.173847i | ||||
\(339\) | −415428. | + | 738872.i | −0.196334 | + | 0.349196i | ||||
\(340\) | 1890.75 | − | 10723.0i | 0.000887025 | − | 0.00503057i | ||||
\(341\) | 907251. | + | 1.57140e6i | 0.422514 | + | 0.731816i | ||||
\(342\) | 1.64421e6 | − | 37501.9i | 0.760136 | − | 0.0173376i | ||||
\(343\) | 787581. | − | 1.36413e6i | 0.361460 | − | 0.626067i | ||||
\(344\) | 1.98134e6 | + | 1.66254e6i | 0.902738 | + | 0.757487i | ||||
\(345\) | −197787. | − | 1.05145e6i | −0.0894644 | − | 0.475601i | ||||
\(346\) | 294548. | + | 1.67047e6i | 0.132272 | + | 0.750149i | ||||
\(347\) | −2.64264e6 | + | 2.21744e6i | −1.17819 | + | 0.988617i | −0.178199 | + | 0.983995i | \(0.557027\pi\) |
−0.999989 | + | 0.00462265i | \(0.998529\pi\) | |||||||
\(348\) | −2.24616e6 | + | 846662.i | −0.994244 | + | 0.374768i | ||||
\(349\) | 2.06740e6 | − | 752474.i | 0.908577 | − | 0.330695i | 0.154893 | − | 0.987931i | \(-0.450497\pi\) |
0.753685 | + | 0.657236i | \(0.228275\pi\) | |||||||
\(350\) | −1.52778e6 | −0.666640 | ||||||||
\(351\) | 706947. | − | 635643.i | 0.306280 | − | 0.275388i | ||||
\(352\) | −2.36556e6 | −1.01760 | ||||||||
\(353\) | 597295. | − | 217398.i | 0.255125 | − | 0.0928577i | −0.211292 | − | 0.977423i | \(-0.567767\pi\) |
0.466416 | + | 0.884565i | \(0.345545\pi\) | |||||||
\(354\) | −47790.8 | + | 290357.i | −0.0202692 | + | 0.123147i | ||||
\(355\) | 218109. | − | 183015.i | 0.0918549 | − | 0.0770754i | ||||
\(356\) | −373883. | − | 2.12039e6i | −0.156354 | − | 0.886730i | ||||
\(357\) | 42339.7 | − | 36357.9i | 0.0175824 | − | 0.0150983i | ||||
\(358\) | −1.14057e6 | − | 957055.i | −0.470344 | − | 0.394666i | ||||
\(359\) | 491595. | − | 851468.i | 0.201313 | − | 0.348684i | −0.747639 | − | 0.664106i | \(-0.768813\pi\) |
0.948952 | + | 0.315421i | \(0.102146\pi\) | |||||||
\(360\) | −204475. | + | 1.33728e6i | −0.0831541 | + | 0.543833i | ||||
\(361\) | −671992. | − | 1.16392e6i | −0.271391 | − | 0.470064i | ||||
\(362\) | −186502. | + | 1.05771e6i | −0.0748019 | + | 0.424223i | ||||
\(363\) | 32666.7 | + | 55119.3i | 0.0130119 | + | 0.0219552i | ||||
\(364\) | 959687. | + | 349298.i | 0.379644 | + | 0.138179i | ||||
\(365\) | −1.13114e6 | − | 411701.i | −0.444410 | − | 0.161752i | ||||
\(366\) | −1.07325e6 | − | 1.81093e6i | −0.418793 | − | 0.706639i | ||||
\(367\) | 620549. | − | 3.51931e6i | 0.240498 | − | 1.36393i | −0.590222 | − | 0.807241i | \(-0.700960\pi\) |
0.830720 | − | 0.556690i | \(-0.187929\pi\) | |||||||
\(368\) | 18486.2 | + | 32019.1i | 0.00711588 | + | 0.0123251i | ||||
\(369\) | 348894. | − | 2.28179e6i | 0.133391 | − | 0.872388i | ||||
\(370\) | −535260. | + | 927097.i | −0.203264 | + | 0.352063i | ||||
\(371\) | −4.09783e6 | − | 3.43848e6i | −1.54568 | − | 1.29698i | ||||
\(372\) | −1.05653e6 | + | 907265.i | −0.395846 | + | 0.339920i | ||||
\(373\) | −266786. | − | 1.51302e6i | −0.0992866 | − | 0.563083i | −0.993349 | − | 0.115140i | \(-0.963268\pi\) |
0.894063 | − | 0.447942i | \(-0.147843\pi\) | |||||||
\(374\) | −18977.6 | + | 15924.1i | −0.00701558 | + | 0.00588677i | ||||
\(375\) | −414343. | + | 2.51737e6i | −0.152153 | + | 0.924420i | ||||
\(376\) | −1.91158e6 | + | 695758.i | −0.697305 | + | 0.253798i | ||||
\(377\) | −1.93148e6 | −0.699902 | ||||||||
\(378\) | −1.98367e6 | + | 1.78359e6i | −0.714069 | + | 0.642046i | ||||
\(379\) | −841107. | −0.300783 | −0.150391 | − | 0.988627i | \(-0.548053\pi\) | ||||
−0.150391 | + | 0.988627i | \(0.548053\pi\) | |||||||
\(380\) | 1.13600e6 | − | 413469.i | 0.403570 | − | 0.146887i | ||||
\(381\) | −3.26133e6 | + | 1.22932e6i | −1.15102 | + | 0.433862i | ||||
\(382\) | −727533. | + | 610473.i | −0.255091 | + | 0.214046i | ||||
\(383\) | 619465. | + | 3.51316e6i | 0.215784 | + | 1.22377i | 0.879541 | + | 0.475824i | \(0.157850\pi\) |
−0.663756 | + | 0.747949i | \(0.731039\pi\) | |||||||
\(384\) | −340951. | − | 1.81253e6i | −0.117995 | − | 0.627273i | ||||
\(385\) | 1.95715e6 | + | 1.64224e6i | 0.672932 | + | 0.564657i | ||||
\(386\) | 457900. | − | 793106.i | 0.156424 | − | 0.270934i | ||||
\(387\) | 3.48893e6 | − | 79577.1i | 1.18417 | − | 0.0270092i | ||||
\(388\) | 1.11641e6 | + | 1.93369e6i | 0.376484 | + | 0.652089i | ||||
\(389\) | −434302. | + | 2.46305e6i | −0.145518 | + | 0.825276i | 0.821431 | + | 0.570308i | \(0.193176\pi\) |
−0.966949 | + | 0.254968i | \(0.917935\pi\) | |||||||
\(390\) | −205243. | + | 365041.i | −0.0683292 | + | 0.121529i | ||||
\(391\) | 36728.5 | + | 13368.1i | 0.0121496 | + | 0.00442209i | ||||
\(392\) | −4.15512e6 | − | 1.51234e6i | −1.36574 | − | 0.497089i | ||||
\(393\) | 2.51461e6 | − | 28673.5i | 0.821277 | − | 0.00936483i | ||||
\(394\) | 524149. | − | 2.97260e6i | 0.170104 | − | 0.964708i | ||||
\(395\) | −532398. | − | 922141.i | −0.171690 | − | 0.297375i | ||||
\(396\) | −1.48435e6 | + | 1.30433e6i | −0.475661 | + | 0.417976i | ||||
\(397\) | 2.00348e6 | − | 3.47013e6i | 0.637983 | − | 1.10502i | −0.347891 | − | 0.937535i | \(-0.613102\pi\) |
0.985875 | − | 0.167485i | \(-0.0535645\pi\) | |||||||
\(398\) | −594334. | − | 498705.i | −0.188071 | − | 0.157811i | ||||
\(399\) | 5.84632e6 | + | 2.05270e6i | 1.83844 | + | 0.645496i | ||||
\(400\) | −6273.17 | − | 35576.9i | −0.00196036 | − | 0.0111178i | ||||
\(401\) | 3.96611e6 | − | 3.32796e6i | 1.23170 | − | 1.03352i | 0.233571 | − | 0.972340i | \(-0.424959\pi\) |
0.998127 | − | 0.0611777i | \(-0.0194856\pi\) | |||||||
\(402\) | 1.67746e6 | + | 1.37527e6i | 0.517711 | + | 0.424447i | ||||
\(403\) | −1.05298e6 | + | 383253.i | −0.322966 | + | 0.117550i | ||||
\(404\) | 294863. | 0.0898808 | ||||||||
\(405\) | 983788. | + | 1.53753e6i | 0.298033 | + | 0.465784i | ||||
\(406\) | 5.41967e6 | 1.63177 | ||||||||
\(407\) | −3.81926e6 | + | 1.39010e6i | −1.14286 | + | 0.415967i | ||||
\(408\) | −38218.9 | − | 31333.8i | −0.0113665 | − | 0.00931887i | ||||
\(409\) | 917173. | − | 769600.i | 0.271108 | − | 0.227487i | −0.497090 | − | 0.867699i | \(-0.665598\pi\) |
0.768198 | + | 0.640212i | \(0.221154\pi\) | |||||||
\(410\) | 176568. | + | 1.00137e6i | 0.0518744 | + | 0.294195i | ||||
\(411\) | 5.18604e6 | + | 1.82087e6i | 1.51437 | + | 0.531710i | ||||
\(412\) | 1.32904e6 | + | 1.11519e6i | 0.385739 | + | 0.323673i | ||||
\(413\) | −554324. | + | 960117.i | −0.159915 | + | 0.276980i | ||||
\(414\) | −1.76973e6 | − | 598792.i | −0.507464 | − | 0.171702i | ||||
\(415\) | −1.55126e6 | − | 2.68687e6i | −0.442146 | − | 0.765819i | ||||
\(416\) | 253677. | − | 1.43867e6i | 0.0718699 | − | 0.407594i | ||||
\(417\) | 2.09186e6 | − | 23853.0i | 0.589106 | − | 0.00671743i | ||||
\(418\) | −2.58466e6 | − | 940738.i | −0.723540 | − | 0.263347i | ||||
\(419\) | 4.96120e6 | + | 1.80573e6i | 1.38055 | + | 0.502479i | 0.922345 | − | 0.386368i | \(-0.126271\pi\) |
0.458204 | + | 0.888847i | \(0.348493\pi\) | |||||||
\(420\) | −961000. | + | 1.70922e6i | −0.265828 | + | 0.472796i | ||||
\(421\) | −544376. | + | 3.08731e6i | −0.149690 | + | 0.848936i | 0.813790 | + | 0.581158i | \(0.197400\pi\) |
−0.963481 | + | 0.267778i | \(0.913711\pi\) | |||||||
\(422\) | −535939. | − | 928274.i | −0.146499 | − | 0.253744i | ||||
\(423\) | −1.31783e6 | + | 2.40772e6i | −0.358103 | + | 0.654268i | ||||
\(424\) | −2.36858e6 | + | 4.10251e6i | −0.639844 | + | 1.10824i | ||||
\(425\) | −29255.6 | − | 24548.4i | −0.00785665 | − | 0.00659251i | ||||
\(426\) | −91913.0 | − | 488618.i | −0.0245388 | − | 0.130450i | ||||
\(427\) | −1.37719e6 | − | 7.81043e6i | −0.365531 | − | 2.07303i | ||||
\(428\) | 1.19831e6 | − | 1.00550e6i | 0.316198 | − | 0.265321i | ||||
\(429\) | −1.48778e6 | + | 560801.i | −0.390298 | + | 0.147118i | ||||
\(430\) | −1.44457e6 | + | 525782.i | −0.376763 | + | 0.137131i | ||||
\(431\) | 429050. | 0.111254 | 0.0556268 | − | 0.998452i | \(-0.482284\pi\) | ||||
0.0556268 | + | 0.998452i | \(0.482284\pi\) | |||||||
\(432\) | −49679.0 | − | 38869.5i | −0.0128075 | − | 0.0100207i | ||||
\(433\) | 220902. | 0.0566212 | 0.0283106 | − | 0.999599i | \(-0.490987\pi\) | ||||
0.0283106 | + | 0.999599i | \(0.490987\pi\) | |||||||
\(434\) | 2.95463e6 | − | 1.07540e6i | 0.752971 | − | 0.274059i | ||||
\(435\) | 602281. | − | 3.65921e6i | 0.152608 | − | 0.927180i | ||||
\(436\) | 978628. | − | 821167.i | 0.246548 | − | 0.206878i | ||||
\(437\) | 753557. | + | 4.27364e6i | 0.188761 | + | 1.07052i | ||||
\(438\) | −1.59471e6 | + | 1.36941e6i | −0.397188 | + | 0.341073i | ||||
\(439\) | 1.17377e6 | + | 984912.i | 0.290685 | + | 0.243914i | 0.776455 | − | 0.630173i | \(-0.217016\pi\) |
−0.485770 | + | 0.874087i | \(0.661461\pi\) | |||||||
\(440\) | 1.13125e6 | − | 1.95938e6i | 0.278565 | − | 0.482489i | ||||
\(441\) | −5.55842e6 | + | 2.16787e6i | −1.36099 | + | 0.530808i | ||||
\(442\) | −7649.54 | − | 13249.4i | −0.00186243 | − | 0.00322582i | ||||
\(443\) | −180219. | + | 1.02207e6i | −0.0436306 | + | 0.247442i | −0.998821 | − | 0.0485516i | \(-0.984539\pi\) |
0.955190 | + | 0.295993i | \(0.0956506\pi\) | |||||||
\(444\) | −1.59039e6 | − | 2.68351e6i | −0.382866 | − | 0.646019i | ||||
\(445\) | 3.12574e6 | + | 1.13768e6i | 0.748260 | + | 0.272345i | ||||
\(446\) | 1.39459e6 | + | 507590.i | 0.331979 | + | 0.120830i | ||||
\(447\) | −3.86607e6 | − | 6.52330e6i | −0.915167 | − | 1.54418i | ||||
\(448\) | −692990. | + | 3.93014e6i | −0.163129 | + | 0.925152i | ||||
\(449\) | −1.48631e6 | − | 2.57437e6i | −0.347932 | − | 0.602635i | 0.637950 | − | 0.770078i | \(-0.279783\pi\) |
−0.985882 | + | 0.167442i | \(0.946449\pi\) | |||||||
\(450\) | 1.42480e6 | + | 1.14121e6i | 0.331684 | + | 0.265666i | ||||
\(451\) | −1.93024e6 | + | 3.34328e6i | −0.446859 | + | 0.773982i | ||||
\(452\) | 833478. | + | 699371.i | 0.191888 | + | 0.161013i | ||||
\(453\) | −592839. | + | 509082.i | −0.135735 | + | 0.116558i | ||||
\(454\) | 240763. | + | 1.36544e6i | 0.0548215 | + | 0.310908i | ||||
\(455\) | −1.20865e6 | + | 1.01418e6i | −0.273698 | + | 0.229660i | ||||
\(456\) | 891154. | − | 5.41428e6i | 0.200697 | − | 1.21935i | ||||
\(457\) | −3.71254e6 | + | 1.35125e6i | −0.831535 | + | 0.302654i | −0.722489 | − | 0.691383i | \(-0.757002\pi\) |
−0.109046 | + | 0.994037i | \(0.534780\pi\) | |||||||
\(458\) | 2.15662e6 | 0.480408 | ||||||||
\(459\) | −66644.3 | + | 2280.58i | −0.0147649 | + | 0.000505258i | ||||
\(460\) | −1.37330e6 | −0.302601 | ||||||||
\(461\) | 1.16674e6 | − | 424659.i | 0.255695 | − | 0.0930654i | −0.210992 | − | 0.977488i | \(-0.567670\pi\) |
0.466687 | + | 0.884422i | \(0.345447\pi\) | |||||||
\(462\) | 4.17467e6 | − | 1.57359e6i | 0.909949 | − | 0.342994i | ||||
\(463\) | −371878. | + | 312042.i | −0.0806209 | + | 0.0676490i | −0.682207 | − | 0.731159i | \(-0.738980\pi\) |
0.601587 | + | 0.798808i | \(0.294535\pi\) | |||||||
\(464\) | 22253.5 | + | 126206.i | 0.00479848 | + | 0.0272135i | ||||
\(465\) | −397733. | − | 2.11439e6i | −0.0853020 | − | 0.453473i | ||||
\(466\) | −2.72939e6 | − | 2.29023e6i | −0.582239 | − | 0.488556i | ||||
\(467\) | −152576. | + | 264269.i | −0.0323738 | + | 0.0560731i | −0.881758 | − | 0.471701i | \(-0.843640\pi\) |
0.849385 | + | 0.527774i | \(0.176973\pi\) | |||||||
\(468\) | −634085. | − | 1.04262e6i | −0.133824 | − | 0.220044i | ||||
\(469\) | 4.08618e6 | + | 7.07748e6i | 0.857800 | + | 1.48575i | ||||
\(470\) | 209955. | − | 1.19072e6i | 0.0438412 | − | 0.248636i | ||||
\(471\) | 1.99395e6 | − | 3.54640e6i | 0.414154 | − | 0.736607i | ||||
\(472\) | 922568. | + | 335787.i | 0.190609 | + | 0.0693760i | ||||
\(473\) | −5.48452e6 | − | 1.99620e6i | −1.12716 | − | 0.410253i | ||||
\(474\) | −1.85926e6 | + | 21200.7i | −0.380097 | + | 0.00433415i | ||||
\(475\) | 736300. | − | 4.17576e6i | 0.149734 | − | 0.849184i | ||||
\(476\) | −35817.1 | − | 62037.1i | −0.00724559 | − | 0.0125497i | ||||
\(477\) | 1.25316e6 | + | 6.26769e6i | 0.252180 | + | 1.26128i | ||||
\(478\) | −1.69587e6 | + | 2.93733e6i | −0.339487 | + | 0.588008i | ||||
\(479\) | 4.13069e6 | + | 3.46606e6i | 0.822591 | + | 0.690236i | 0.953577 | − | 0.301149i | \(-0.0973700\pi\) |
−0.130986 | + | 0.991384i | \(0.541814\pi\) | |||||||
\(480\) | 2.64647e6 | + | 929204.i | 0.524281 | + | 0.184081i | ||||
\(481\) | −435853. | − | 2.47185e6i | −0.0858969 | − | 0.487145i | ||||
\(482\) | 2.45605e6 | − | 2.06087e6i | 0.481525 | − | 0.404047i | ||||
\(483\) | −5.44328e6 | − | 4.46269e6i | −1.06168 | − | 0.870420i | ||||
\(484\) | 77282.2 | − | 28128.4i | 0.0149957 | − | 0.00545798i | ||||
\(485\) | −3.44951e6 | −0.665891 | ||||||||
\(486\) | 3.18226e6 | − | 181622.i | 0.611147 | − | 0.0348801i | ||||
\(487\) | −1.88175e6 | −0.359534 | −0.179767 | − | 0.983709i | \(-0.557534\pi\) | ||||
−0.179767 | + | 0.983709i | \(0.557534\pi\) | |||||||
\(488\) | −6.59976e6 | + | 2.40212e6i | −1.25452 | + | 0.456609i | ||||
\(489\) | −5.35571e6 | − | 4.39089e6i | −1.01285 | − | 0.830388i | ||||
\(490\) | 2.01327e6 | − | 1.68933e6i | 0.378801 | − | 0.317852i | ||||
\(491\) | 1.10068e6 | + | 6.24229e6i | 0.206043 | + | 1.16853i | 0.895789 | + | 0.444479i | \(0.146611\pi\) |
−0.689746 | + | 0.724051i | \(0.742278\pi\) | |||||||
\(492\) | −2.79559e6 | − | 981560.i | −0.520668 | − | 0.182812i | ||||
\(493\) | 103782. | + | 87083.3i | 0.0192311 | + | 0.0161368i | ||||
\(494\) | 849305. | − | 1.47104e6i | 0.156584 | − | 0.271211i | ||||
\(495\) | −598516. | − | 2.99349e6i | −0.109790 | − | 0.549116i | ||||
\(496\) | 37174.2 | + | 64387.6i | 0.00678481 | + | 0.0117516i | ||||
\(497\) | 325273. | − | 1.84471e6i | 0.0590686 | − | 0.334995i | ||||
\(498\) | −5.41737e6 | + | 61773.0i | −0.978848 | + | 0.0111616i | ||||
\(499\) | −1.37023e6 | − | 498724.i | −0.246345 | − | 0.0896621i | 0.215897 | − | 0.976416i | \(-0.430732\pi\) |
−0.462242 | + | 0.886754i | \(0.652955\pi\) | |||||||
\(500\) | 3.07724e6 | + | 1.12002e6i | 0.550473 | + | 0.200356i | ||||
\(501\) | −2.33520e6 | + | 4.15335e6i | −0.415652 | + | 0.739271i | ||||
\(502\) | −151210. | + | 857553.i | −0.0267806 | + | 0.151880i | ||||
\(503\) | −2.78345e6 | − | 4.82107e6i | −0.490527 | − | 0.849618i | 0.509414 | − | 0.860522i | \(-0.329862\pi\) |
−0.999941 | + | 0.0109042i | \(0.996529\pi\) | |||||||
\(504\) | 4.62469e6 | + | 7.60430e6i | 0.810972 | + | 1.33347i | ||||
\(505\) | −227768. | + | 394506.i | −0.0397433 | + | 0.0688374i | ||||
\(506\) | 2.39356e6 | + | 2.00844e6i | 0.415593 | + | 0.348724i | ||||
\(507\) | 888463. | + | 4.72315e6i | 0.153504 | + | 0.816041i | ||||
\(508\) | 776851. | + | 4.40574e6i | 0.133561 | + | 0.757460i | ||||
\(509\) | 8.25442e6 | − | 6.92628e6i | 1.41219 | − | 1.18497i | 0.456815 | − | 0.889562i | \(-0.348990\pi\) |
0.955372 | − | 0.295404i | \(-0.0954544\pi\) | |||||||
\(510\) | 27486.4 | − | 10360.6i | 0.00467942 | − | 0.00176385i | ||||
\(511\) | −7.44173e6 | + | 2.70857e6i | −1.26073 | + | 0.458868i | ||||
\(512\) | −192895. | −0.0325197 | ||||||||
\(513\) | −3.91894e6 | − | 6.28139e6i | −0.657469 | − | 1.05381i | ||||
\(514\) | −85640.0 | −0.0142978 | ||||||||
\(515\) | −2.51866e6 | + | 916719.i | −0.418458 | + | 0.152306i | ||||
\(516\) | 727505. | − | 4.42001e6i | 0.120285 | − | 0.730801i | ||||
\(517\) | 3.51649e6 | − | 2.95068e6i | 0.578606 | − | 0.485508i | ||||
\(518\) | 1.22299e6 | + | 6.93592e6i | 0.200262 | + | 1.13574i | ||||
\(519\) | 5.79313e6 | − | 4.97467e6i | 0.944050 | − | 0.810673i | ||||
\(520\) | 1.07033e6 | + | 898116.i | 0.173584 | + | 0.145655i | ||||
\(521\) | −809566. | + | 1.40221e6i | −0.130665 | + | 0.226318i | −0.923933 | − | 0.382554i | \(-0.875044\pi\) |
0.793268 | + | 0.608872i | \(0.208378\pi\) | |||||||
\(522\) | −5.05437e6 | − | 4.04836e6i | −0.811878 | − | 0.650283i | ||||
\(523\) | 3.20385e6 | + | 5.54923e6i | 0.512175 | + | 0.887113i | 0.999900 | + | 0.0141158i | \(0.00449335\pi\) |
−0.487726 | + | 0.872997i | \(0.662173\pi\) | |||||||
\(524\) | 560522. | − | 3.17888e6i | 0.0891794 | − | 0.505762i | ||||
\(525\) | 3.50650e6 | + | 5.91659e6i | 0.555233 | + | 0.936857i | ||||
\(526\) | 3.04023e6 | + | 1.10655e6i | 0.479118 | + | 0.174385i | ||||
\(527\) | 73857.9 | + | 26882.1i | 0.0115843 | + | 0.00421635i | ||||
\(528\) | 53785.0 | + | 90752.7i | 0.00839608 | + | 0.0141669i | ||||
\(529\) | −261628. | + | 1.48377e6i | −0.0406485 | + | 0.230529i | ||||
\(530\) | −1.40779e6 | − | 2.43837e6i | −0.217695 | − | 0.377059i | ||||
\(531\) | 1.23414e6 | − | 481336.i | 0.189946 | − | 0.0740819i | ||||
\(532\) | 3.97667e6 | − | 6.88780e6i | 0.609173 | − | 1.05512i | ||||
\(533\) | −1.82630e6 | − | 1.53245e6i | −0.278454 | − | 0.233651i | ||||
\(534\) | 4.40675e6 | − | 3.78416e6i | 0.668752 | − | 0.574270i | ||||
\(535\) | 419649. | + | 2.37995e6i | 0.0633872 | + | 0.359487i | ||||
\(536\) | 5.54397e6 | − | 4.65194e6i | 0.833506 | − | 0.699395i | ||||
\(537\) | −1.08856e6 | + | 6.61365e6i | −0.162899 | + | 0.989705i | ||||
\(538\) | 850840. | − | 309680.i | 0.126734 | − | 0.0461273i | ||||
\(539\) | 9.97807e6 | 1.47936 | ||||||||
\(540\) | 2.17297e6 | − | 876167.i | 0.320678 | − | 0.129301i | ||||
\(541\) | 2.96770e6 | 0.435940 | 0.217970 | − | 0.975956i | \(-0.430057\pi\) | ||||
0.217970 | + | 0.975956i | \(0.430057\pi\) | |||||||
\(542\) | −6.97483e6 | + | 2.53863e6i | −1.01985 | + | 0.371194i | ||||
\(543\) | 4.52420e6 | − | 1.70534e6i | 0.658479 | − | 0.248205i | ||||
\(544\) | −78494.8 | + | 65865.0i | −0.0113722 | + | 0.00954239i | ||||
\(545\) | 342717. | + | 1.94365e6i | 0.0494248 | + | 0.280302i | ||||
\(546\) | 509335. | + | 2.70767e6i | 0.0731176 | + | 0.388700i | ||||
\(547\) | −4.37241e6 | − | 3.66889e6i | −0.624817 | − | 0.524283i | 0.274497 | − | 0.961588i | \(-0.411489\pi\) |
−0.899313 | + | 0.437305i | \(0.855933\pi\) | |||||||
\(548\) | 3.52755e6 | − | 6.10989e6i | 0.501790 | − | 0.869125i | ||||
\(549\) | −4.54983e6 | + | 8.31271e6i | −0.644265 | + | 1.17710i | ||||
\(550\) | −1.52651e6 | − | 2.64399e6i | −0.215175 | − | 0.372694i | ||||
\(551\) | −2.61196e6 | + | 1.48132e7i | −0.366511 | + | 2.07859i | ||||
\(552\) | −3.05490e6 | + | 5.43339e6i | −0.426726 | + | 0.758967i | ||||
\(553\) | −6.58280e6 | − | 2.39594e6i | −0.915372 | − | 0.333168i | ||||
\(554\) | 2.52426e6 | + | 918755.i | 0.349429 | + | 0.127182i | ||||
\(555\) | 4.81884e6 | − | 54948.1i | 0.664064 | − | 0.00757217i | ||||
\(556\) | 466289. | − | 2.64446e6i | 0.0639688 | − | 0.362785i | ||||
\(557\) | −1.31997e6 | − | 2.28626e6i | −0.180272 | − | 0.312240i | 0.761701 | − | 0.647928i | \(-0.224364\pi\) |
−0.941973 | + | 0.335689i | \(0.891031\pi\) | |||||||
\(558\) | −3.55877e6 | − | 1.20412e6i | −0.483854 | − | 0.163713i | ||||
\(559\) | 1.80218e6 | − | 3.12147e6i | 0.243932 | − | 0.422503i | ||||
\(560\) | 80193.2 | + | 67290.1i | 0.0108061 | + | 0.00906737i | ||||
\(561\) | 105226. | + | 36945.8i | 0.0141161 | + | 0.00495630i | ||||
\(562\) | −906546. | − | 5.14128e6i | −0.121073 | − | 0.686642i | ||||
\(563\) | −1.26314e6 | + | 1.05990e6i | −0.167950 | + | 0.140927i | −0.722889 | − | 0.690964i | \(-0.757186\pi\) |
0.554939 | + | 0.831891i | \(0.312742\pi\) | |||||||
\(564\) | 2.72453e6 | + | 2.23372e6i | 0.360657 | + | 0.295686i | ||||
\(565\) | −1.57953e6 | + | 574902.i | −0.208165 | + | 0.0757658i | ||||
\(566\) | −8.65483e6 | −1.13558 | ||||||||
\(567\) | 1.14601e7 | + | 3.58848e6i | 1.49703 | + | 0.468762i | ||||
\(568\) | −1.65881e6 | −0.215737 | ||||||||
\(569\) | 7.33050e6 | − | 2.66808e6i | 0.949190 | − | 0.345477i | 0.179401 | − | 0.983776i | \(-0.442584\pi\) |
0.769788 | + | 0.638299i | \(0.220362\pi\) | |||||||
\(570\) | 2.52206e6 | + | 2.06772e6i | 0.325139 | + | 0.266566i | ||||
\(571\) | −543778. | + | 456284.i | −0.0697962 | + | 0.0585659i | −0.677018 | − | 0.735966i | \(-0.736728\pi\) |
0.607222 | + | 0.794532i | \(0.292284\pi\) | |||||||
\(572\) | 354390. | + | 2.00985e6i | 0.0452889 | + | 0.256846i | ||||
\(573\) | 4.03396e6 | + | 1.41637e6i | 0.513269 | + | 0.180214i | ||||
\(574\) | 5.12454e6 | + | 4.30000e6i | 0.649195 | + | 0.544739i | ||||
\(575\) | −2.40839e6 | + | 4.17146e6i | −0.303779 | + | 0.526161i | ||||
\(576\) | 3.58200e6 | − | 3.14759e6i | 0.449851 | − | 0.395296i | ||||
\(577\) | −815174. | − | 1.41192e6i | −0.101932 | − | 0.176551i | 0.810549 | − | 0.585671i | \(-0.199169\pi\) |
−0.912481 | + | 0.409120i | \(0.865836\pi\) | |||||||
\(578\) | 853585. | − | 4.84092e6i | 0.106274 | − | 0.602710i | ||||
\(579\) | −4.12239e6 | + | 47006.6i | −0.511037 | + | 0.00582723i | ||||
\(580\) | −4.47302e6 | − | 1.62805e6i | −0.552117 | − | 0.200954i | ||||
\(581\) | −1.91805e7 | − | 6.98112e6i | −2.35732 | − | 0.857996i | ||||
\(582\) | −2.95214e6 | + | 5.25063e6i | −0.361268 | + | 0.642545i | ||||
\(583\) | 1.85625e6 | − | 1.05273e7i | 0.226186 | − | 1.28276i | ||||
\(584\) | 3.50653e6 | + | 6.07348e6i | 0.425446 | + | 0.736895i | ||||
\(585\) | 1.88475e6 | − | 42988.2i | 0.227700 | − | 0.00519349i | ||||
\(586\) | 1.88946e6 | − | 3.27264e6i | 0.227297 | − | 0.393690i | ||||
\(587\) | −1.01965e7 | − | 8.55584e6i | −1.22139 | − | 1.02487i | −0.998751 | − | 0.0499662i | \(-0.984089\pi\) |
−0.222638 | − | 0.974901i | \(-0.571467\pi\) | |||||||
\(588\) | 1.41572e6 | + | 7.52612e6i | 0.168863 | + | 0.897693i | ||||
\(589\) | 1.51534e6 | + | 8.59392e6i | 0.179979 | + | 1.02071i | ||||
\(590\) | −447009. | + | 375085.i | −0.0528672 | + | 0.0443608i | ||||
\(591\) | −1.27149e7 | + | 4.79272e6i | −1.49742 | + | 0.564434i | ||||
\(592\) | −156493. | + | 56958.6i | −0.0183522 | + | 0.00667967i | ||||
\(593\) | 6.76417e6 | 0.789911 | 0.394955 | − | 0.918700i | \(-0.370760\pi\) | ||||
0.394955 | + | 0.918700i | \(0.370760\pi\) | |||||||
\(594\) | −5.06871e6 | − | 1.65085e6i | −0.589429 | − | 0.191973i | ||||
\(595\) | 110668. | 0.0128154 | ||||||||
\(596\) | −9.14625e6 | + | 3.32896e6i | −1.05470 | + | 0.383878i | ||||
\(597\) | −567232. | + | 3.44626e6i | −0.0651365 | + | 0.395742i | ||||
\(598\) | −1.47816e6 | + | 1.24032e6i | −0.169032 | + | 0.141834i | ||||
\(599\) | −2.41895e6 | − | 1.37185e7i | −0.275461 | − | 1.56221i | −0.737495 | − | 0.675352i | \(-0.763992\pi\) |
0.462035 | − | 0.886862i | \(-0.347120\pi\) | |||||||
\(600\) | 4.62069e6 | − | 3.96788e6i | 0.523997 | − | 0.449966i | ||||
\(601\) | 179938. | + | 150986.i | 0.0203206 | + | 0.0170510i | 0.652891 | − | 0.757452i | \(-0.273556\pi\) |
−0.632571 | + | 0.774503i | \(0.718000\pi\) | |||||||
\(602\) | −5.05687e6 | + | 8.75875e6i | −0.568710 | + | 0.985034i | ||||
\(603\) | 1.47593e6 | − | 9.65271e6i | 0.165300 | − | 1.08108i | ||||
\(604\) | 501510. | + | 868641.i | 0.0559355 | + | 0.0968831i | ||||
\(605\) | −22063.1 | + | 125126.i | −0.00245063 | + | 0.0138982i | ||||
\(606\) | 405564. | + | 684317.i | 0.0448619 | + | 0.0756965i | ||||
\(607\) | 1.01942e7 | + | 3.71040e6i | 1.12301 | + | 0.408742i | 0.835750 | − | 0.549111i | \(-0.185034\pi\) |
0.287260 | + | 0.957853i | \(0.407256\pi\) | |||||||
\(608\) | −1.06906e7 | − | 3.89106e6i | −1.17285 | − | 0.426883i | ||||
\(609\) | −1.24390e7 | − | 2.09886e7i | −1.35907 | − | 2.29319i | ||||
\(610\) | 724874. | − | 4.11096e6i | 0.0788747 | − | 0.447321i | ||||
\(611\) | 1.41743e6 | + | 2.45506e6i | 0.153603 | + | 0.266048i | ||||
\(612\) | −12937.2 | + | 84610.1i | −0.00139624 | + | 0.00913153i | ||||
\(613\) | −5.08987e6 | + | 8.81591e6i | −0.547086 | + | 0.947580i | 0.451387 | + | 0.892328i | \(0.350929\pi\) |
−0.998472 | + | 0.0552516i | \(0.982404\pi\) | |||||||
\(614\) | −384078. | − | 322279.i | −0.0411148 | − | 0.0344994i | ||||
\(615\) | 3.47272e6 | − | 2.98209e6i | 0.370239 | − | 0.317931i | ||||
\(616\) | −2.58474e6 | − | 1.46588e7i | −0.274451 | − | 1.55649i | ||||
\(617\) | 710785. | − | 596419.i | 0.0751667 | − | 0.0630723i | −0.604430 | − | 0.796658i | \(-0.706599\pi\) |
0.679597 | + | 0.733586i | \(0.262155\pi\) | |||||||
\(618\) | −760140. | + | 4.61829e6i | −0.0800612 | + | 0.486419i | ||||
\(619\) | 1.32790e7 | − | 4.83316e6i | 1.39296 | − | 0.506996i | 0.466879 | − | 0.884321i | \(-0.345378\pi\) |
0.926081 | + | 0.377325i | \(0.123156\pi\) | |||||||
\(620\) | −2.76159e6 | −0.288522 | ||||||||
\(621\) | 1.74287e6 | + | 8.22788e6i | 0.181358 | + | 0.856168i | ||||
\(622\) | 4.21720e6 | 0.437067 | ||||||||
\(623\) | 2.05642e7 | − | 7.48474e6i | 2.12271 | − | 0.772603i | ||||
\(624\) | −60961.2 | + | 22978.6i | −0.00626747 | + | 0.00236244i | ||||
\(625\) | 1.31787e6 | − | 1.10582e6i | 0.134950 | − | 0.113236i | ||||
\(626\) | 1.01223e6 | + | 5.74064e6i | 0.103239 | + | 0.585496i | ||||
\(627\) | 2.28902e6 | + | 1.21687e7i | 0.232531 | + | 1.23616i | ||||
\(628\) | −4.00049e6 | − | 3.35681e6i | −0.404775 | − | 0.339647i | ||||
\(629\) | −88027.2 | + | 152468.i | −0.00887136 | + | 0.0153656i | ||||
\(630\) | −5.28853e6 | + | 120623.i | −0.530865 | + | 0.0121082i | ||||
\(631\) | −6.02108e6 | − | 1.04288e7i | −0.602006 | − | 1.04271i | −0.992517 | − | 0.122107i | \(-0.961035\pi\) |
0.390511 | − | 0.920598i | \(-0.372298\pi\) | |||||||
\(632\) | −1.07724e6 | + | 6.10935e6i | −0.107281 | + | 0.608419i | ||||
\(633\) | −2.36483e6 | + | 4.20605e6i | −0.234580 | + | 0.417220i | ||||
\(634\) | −1.80246e6 | − | 656040.i | −0.178091 | − | 0.0648197i | ||||
\(635\) | −6.49464e6 | − | 2.36386e6i | −0.639177 | − | 0.232641i | ||||
\(636\) | 8.20379e6 | − | 93545.9i | 0.804214 | − | 0.00917026i | ||||
\(637\) | −1.07002e6 | + | 6.06840e6i | −0.104483 | + | 0.592551i | ||||
\(638\) | 5.41515e6 | + | 9.37932e6i | 0.526695 | + | 0.912262i | ||||
\(639\) | −1.68130e6 | + | 1.47740e6i | −0.162890 | + | 0.143135i | ||||
\(640\) | 1.82865e6 | − | 3.16732e6i | 0.176474 | − | 0.305662i | ||||
\(641\) | 795104. | + | 667171.i | 0.0764326 | + | 0.0641346i | 0.680204 | − | 0.733023i | \(-0.261891\pi\) |
−0.603771 | + | 0.797158i | \(0.706336\pi\) | |||||||
\(642\) | 3.98175e6 | + | 1.39803e6i | 0.381273 | + | 0.133869i | ||||
\(643\) | 2.64523e6 | + | 1.50018e7i | 0.252311 | + | 1.43093i | 0.802882 | + | 0.596137i | \(0.203299\pi\) |
−0.550572 | + | 0.834788i | \(0.685590\pi\) | |||||||
\(644\) | −6.92113e6 | + | 5.80752e6i | −0.657601 | + | 0.551792i | ||||
\(645\) | 5.35170e6 | + | 4.38760e6i | 0.506515 | + | 0.415267i | ||||
\(646\) | −111958. | + | 40749.5i | −0.0105554 | + | 0.00384186i | ||||
\(647\) | −5.36349e6 | −0.503717 | −0.251859 | − | 0.967764i | \(-0.581042\pi\) | ||||
−0.251859 | + | 0.967764i | \(0.581042\pi\) | |||||||
\(648\) | 1.36725e6 | − | 1.05463e7i | 0.127912 | − | 0.986646i | ||||
\(649\) | −2.21545e6 | −0.206466 | ||||||||
\(650\) | 1.77170e6 | − | 644848.i | 0.164478 | − | 0.0598651i | ||||
\(651\) | −1.09460e7 | − | 8.97409e6i | −1.01228 | − | 0.829923i | ||||
\(652\) | −6.80978e6 | + | 5.71409e6i | −0.627356 | + | 0.526415i | ||||
\(653\) | 2.96352e6 | + | 1.68069e7i | 0.271972 | + | 1.54243i | 0.748418 | + | 0.663227i | \(0.230814\pi\) |
−0.476446 | + | 0.879204i | \(0.658075\pi\) | |||||||
\(654\) | 3.25180e6 | + | 1.14174e6i | 0.297289 | + | 0.104381i | ||||
\(655\) | 3.82014e6 | + | 3.20547e6i | 0.347917 | + | 0.291937i | ||||
\(656\) | −79090.8 | + | 136989.i | −0.00717574 | + | 0.0124287i | ||||
\(657\) | 8.96336e6 | + | 3.03278e6i | 0.810135 | + | 0.274112i | ||||
\(658\) | −3.97726e6 | − | 6.88882e6i | −0.358113 | − | 0.620269i | ||||
\(659\) | 1.90012e6 | − | 1.07761e7i | 0.170439 | − | 0.966606i | −0.772839 | − | 0.634602i | \(-0.781164\pi\) |
0.943278 | − | 0.332004i | \(-0.107725\pi\) | |||||||
\(660\) | −3.91818e6 | + | 44678.1i | −0.350126 | + | 0.00399240i | ||||
\(661\) | 4.51566e6 | + | 1.64357e6i | 0.401992 | + | 0.146313i | 0.535101 | − | 0.844788i | \(-0.320274\pi\) |
−0.133109 | + | 0.991101i | \(0.542496\pi\) | |||||||
\(662\) | −2.22187e6 | − | 808696.i | −0.197049 | − | 0.0717200i | ||||
\(663\) | −33753.6 | + | 60033.5i | −0.00298220 | + | 0.00530408i | ||||
\(664\) | −3.13879e6 | + | 1.78010e7i | −0.276276 | + | 1.56684i | ||||
\(665\) | 6.14358e6 | + | 1.06410e7i | 0.538726 | + | 0.933100i | ||||
\(666\) | 4.04040e6 | − | 7.38196e6i | 0.352971 | − | 0.644890i | ||||
\(667\) | 8.54357e6 | − | 1.47979e7i | 0.743575 | − | 1.28791i | ||||
\(668\) | 4.68515e6 | + | 3.93131e6i | 0.406240 | + | 0.340875i | ||||
\(669\) | −1.23508e6 | − | 6.56579e6i | −0.106691 | − | 0.567181i | ||||
\(670\) | 746942. | + | 4.23612e6i | 0.0642835 | + | 0.364570i | ||||
\(671\) | 1.21407e7 | − | 1.01873e7i | 1.04097 | − | 0.873478i | ||||
\(672\) | 1.72671e7 | − | 6.50863e6i | 1.47502 | − | 0.555990i | ||||
\(673\) | 7.67409e6 | − | 2.79314e6i | 0.653115 | − | 0.237714i | 0.00585379 | − | 0.999983i | \(-0.498137\pi\) |
0.647261 | + | 0.762269i | \(0.275914\pi\) | |||||||
\(674\) | 388081. | 0.0329058 | ||||||||
\(675\) | 1.14940e6 | − | 8.13706e6i | 0.0970980 | − | 0.687397i | ||||
\(676\) | 6.16888e6 | 0.519206 | ||||||||
\(677\) | 1.48843e7 | − | 5.41746e6i | 1.24813 | − | 0.454280i | 0.368358 | − | 0.929684i | \(-0.379920\pi\) |
0.879768 | + | 0.475404i | \(0.157698\pi\) | |||||||
\(678\) | −476707. | + | 2.89627e6i | −0.0398269 | + | 0.241972i | ||||
\(679\) | −1.73848e7 | + | 1.45876e7i | −1.44709 | + | 1.21425i | ||||
\(680\) | −17018.1 | − | 96514.7i | −0.00141137 | − | 0.00800426i | ||||
\(681\) | 4.73529e6 | − | 4.06628e6i | 0.391272 | − | 0.335993i | ||||
\(682\) | 4.81325e6 | + | 4.03879e6i | 0.396257 | + | 0.332499i | ||||
\(683\) | 7.03442e6 | − | 1.21840e7i | 0.577001 | − | 0.999395i | −0.418820 | − | 0.908069i | \(-0.637556\pi\) |
0.995821 | − | 0.0913260i | \(-0.0291105\pi\) | |||||||
\(684\) | −8.85364e6 | + | 3.45306e6i | −0.723572 | + | 0.282205i | ||||
\(685\) | 5.44973e6 | + | 9.43921e6i | 0.443760 | + | 0.768616i | ||||
\(686\) | 947158. | − | 5.37160e6i | 0.0768444 | − | 0.435806i | ||||
\(687\) | −4.94978e6 | − | 8.35188e6i | −0.400124 | − | 0.675138i | ||||
\(688\) | −224726. | − | 81793.5i | −0.0181001 | − | 0.00658791i | ||||
\(689\) | 6.20340e6 | + | 2.25785e6i | 0.497830 | + | 0.181195i | ||||
\(690\) | −1.88888e6 | − | 3.18715e6i | −0.151036 | − | 0.254847i | ||||
\(691\) | −2.06267e6 | + | 1.16980e7i | −0.164337 | + | 0.931999i | 0.785409 | + | 0.618977i | \(0.212453\pi\) |
−0.949746 | + | 0.313022i | \(0.898659\pi\) | |||||||
\(692\) | −4.90068e6 | − | 8.48823e6i | −0.389037 | − | 0.673832i | ||||
\(693\) | −1.56755e7 | − | 1.25555e7i | −1.23990 | − | 0.993116i | ||||
\(694\) | −5.97284e6 | + | 1.03453e7i | −0.470741 | + | 0.815348i | ||||
\(695\) | 3.17790e6 | + | 2.66658e6i | 0.249562 | + | 0.209408i | ||||
\(696\) | −1.63915e7 | + | 1.40757e7i | −1.28261 | + | 1.10140i | ||||
\(697\) | 29037.9 | + | 164682.i | 0.00226404 | + | 0.0128400i | ||||
\(698\) | 5.83607e6 | − | 4.89704e6i | 0.453400 | − | 0.380448i | ||||
\(699\) | −2.60493e6 | + | 1.58265e7i | −0.201652 | + | 1.22516i | ||||
\(700\) | 8.29558e6 | − | 3.01935e6i | 0.639885 | − | 0.232899i | ||||
\(701\) | −5.12301e6 | −0.393759 | −0.196879 | − | 0.980428i | \(-0.563081\pi\) | ||||
−0.196879 | + | 0.980428i | \(0.563081\pi\) | |||||||
\(702\) | 1.54756e6 | − | 2.90563e6i | 0.118523 | − | 0.222534i | ||||
\(703\) | −1.95468e7 | −1.49172 | ||||||||
\(704\) | −7.49394e6 | + | 2.72757e6i | −0.569873 | + | 0.207417i | ||||
\(705\) | −5.09312e6 | + | 1.91979e6i | −0.385933 | + | 0.145472i | ||||
\(706\) | 1.68610e6 | − | 1.41481e6i | 0.127313 | − | 0.106828i | ||||
\(707\) | 520416. | + | 2.95143e6i | 0.0391564 | + | 0.222067i | ||||
\(708\) | −314335. | − | 1.67104e6i | −0.0235673 | − | 0.125286i | ||||
\(709\) | −1.40863e7 | − | 1.18198e7i | −1.05240 | − | 0.883070i | −0.0590579 | − | 0.998255i | \(-0.518810\pi\) |
−0.993344 | + | 0.115184i | \(0.963254\pi\) | |||||||
\(710\) | 492965. | − | 853840.i | 0.0367003 | − | 0.0635669i | ||||
\(711\) | 4.34939e6 | + | 7.15163e6i | 0.322667 | + | 0.530556i | ||||
\(712\) | −9.68978e6 | − | 1.67832e7i | −0.716331 | − | 1.24072i | ||||
\(713\) | 1.72141e6 | − | 9.76258e6i | 0.126812 | − | 0.719185i | ||||
\(714\) | 94711.5 | − | 168452.i | 0.00695276 | − | 0.0123660i | ||||
\(715\) | −2.96278e6 | − | 1.07836e6i | −0.216738 | − | 0.0788860i | ||||
\(716\) | 8.08454e6 | + | 2.94253e6i | 0.589349 | + | 0.214506i | ||||
\(717\) | 1.52676e7 | − | 174093.i | 1.10911 | − | 0.0126469i | ||||
\(718\) | 591201. | − | 3.35286e6i | 0.0427980 | − | 0.242720i | ||||
\(719\) | 4.34550e6 | + | 7.52662e6i | 0.313485 | + | 0.542972i | 0.979114 | − | 0.203310i | \(-0.0651700\pi\) |
−0.665629 | + | 0.746283i | \(0.731837\pi\) | |||||||
\(720\) | −24524.0 | − | 122657.i | −0.00176303 | − | 0.00881781i | ||||
\(721\) | −8.81683e6 | + | 1.52712e7i | −0.631647 | + | 1.09404i | ||||
\(722\) | −3.56513e6 | − | 2.99150e6i | −0.254526 | − | 0.213573i | ||||
\(723\) | −1.36181e7 | − | 4.78144e6i | −0.968879 | − | 0.340183i | ||||
\(724\) | −1.07767e6 | − | 6.11175e6i | −0.0764078 | − | 0.433330i | ||||
\(725\) | −1.27897e7 | + | 1.07319e7i | −0.903684 | + | 0.758281i | ||||
\(726\) | 171577. | + | 140668.i | 0.0120814 | + | 0.00990495i | ||||
\(727\) | 1.02663e7 | − | 3.73663e6i | 0.720407 | − | 0.262207i | 0.0443084 | − | 0.999018i | \(-0.485892\pi\) |
0.676099 | + | 0.736811i | \(0.263669\pi\) | |||||||
\(728\) | 9.19228e6 | 0.642828 | ||||||||
\(729\) | −8.00715e6 | − | 1.19070e7i | −0.558032 | − | 0.829819i | ||||
\(730\) | −4.16828e6 | −0.289501 | ||||||||
\(731\) | −237570. | + | 86468.5i | −0.0164437 | + | 0.00598500i | ||||
\(732\) | 9.40650e6 | + | 7.71194e6i | 0.648859 | + | 0.531969i | ||||
\(733\) | 1.80168e6 | − | 1.51179e6i | 0.123856 | − | 0.103928i | −0.578756 | − | 0.815501i | \(-0.696462\pi\) |
0.702612 | + | 0.711573i | \(0.252017\pi\) | |||||||
\(734\) | −2.14883e6 | − | 1.21866e7i | −0.147219 | − | 0.834918i | ||||
\(735\) | −1.11630e7 | − | 3.91944e6i | −0.762188 | − | 0.267612i | ||||
\(736\) | 9.90018e6 | + | 8.30724e6i | 0.673672 | + | 0.565278i | ||||
\(737\) | −8.16555e6 | + | 1.41431e7i | −0.553754 | + | 0.959130i | ||||
\(738\) | −1.56714e6 | − | 7.83806e6i | −0.105917 | − | 0.529746i | ||||
\(739\) | −2.43224e6 | − | 4.21276e6i | −0.163830 | − | 0.283763i | 0.772409 | − | 0.635126i | \(-0.219052\pi\) |
−0.936239 | + | 0.351363i | \(0.885718\pi\) | |||||||
\(740\) | 1.07415e6 | − | 6.09180e6i | 0.0721083 | − | 0.408947i | ||||
\(741\) | −7.64614e6 | + | 87187.1i | −0.511560 | + | 0.00583320i | ||||
\(742\) | −1.74065e7 | − | 6.33546e6i | −1.16065 | − | 0.422443i | ||||
\(743\) | −6.84835e6 | − | 2.49260e6i | −0.455108 | − | 0.165646i | 0.104287 | − | 0.994547i | \(-0.466744\pi\) |
−0.559394 | + | 0.828902i | \(0.688966\pi\) | |||||||
\(744\) | −6.14314e6 | + | 1.09261e7i | −0.406873 | + | 0.723656i | ||||
\(745\) | 2.61113e6 | − | 1.48085e7i | 0.172361 | − | 0.977507i | ||||
\(746\) | −2.66005e6 | − | 4.60734e6i | −0.175002 | − | 0.303112i | ||||
\(747\) | 1.26729e7 | + | 2.08379e7i | 0.830951 | + | 1.36632i | ||||
\(748\) | 71574.5 | − | 123971.i | 0.00467740 | − | 0.00810149i | ||||
\(749\) | 1.21795e7 | + | 1.02198e7i | 0.793275 | + | 0.665636i | ||||
\(750\) | 1.63318e6 | + | 8.68216e6i | 0.106019 | + | 0.563605i | ||||
\(751\) | 1.43197e6 | + | 8.12110e6i | 0.0926475 | + | 0.525430i | 0.995443 | + | 0.0953598i | \(0.0304002\pi\) |
−0.902795 | + | 0.430070i | \(0.858489\pi\) | |||||||
\(752\) | 144087. | − | 120903.i | 0.00929136 | − | 0.00779637i | ||||
\(753\) | 3.66807e6 | − | 1.38263e6i | 0.235749 | − | 0.0888626i | ||||
\(754\) | −6.28497e6 | + | 2.28754e6i | −0.402601 | + | 0.146535i | ||||
\(755\) | −1.54957e6 | −0.0989337 | ||||||||
\(756\) | 7.24608e6 | − | 1.36049e7i | 0.461104 | − | 0.865748i | ||||
\(757\) | −1.11033e7 | −0.704228 | −0.352114 | − | 0.935957i | \(-0.614537\pi\) | ||||
−0.352114 | + | 0.935957i | \(0.614537\pi\) | |||||||
\(758\) | −2.73693e6 | + | 996161.i | −0.173018 | + | 0.0629733i | ||||
\(759\) | 2.28441e6 | − | 1.38791e7i | 0.143936 | − | 0.874496i | ||||
\(760\) | 8.33537e6 | − | 6.99420e6i | 0.523469 | − | 0.439242i | ||||
\(761\) | −3.72921e6 | − | 2.11494e7i | −0.233429 | − | 1.32384i | −0.845897 | − | 0.533346i | \(-0.820934\pi\) |
0.612468 | − | 0.790495i | \(-0.290177\pi\) | |||||||
\(762\) | −9.15632e6 | + | 7.86270e6i | −0.571260 | + | 0.490551i | ||||
\(763\) | 9.94667e6 | + | 8.34625e6i | 0.618538 | + | 0.519015i | ||||
\(764\) | 2.74390e6 | − | 4.75258e6i | 0.170073 | − | 0.294575i | ||||
\(765\) | −103209. | − | 82666.3i | −0.00637622 | − | 0.00510711i | ||||
\(766\) | 6.17651e6 | + | 1.06980e7i | 0.380339 | + | 0.658767i | ||||
\(767\) | 237579. | − | 1.34738e6i | 0.0145821 | − | 0.0826991i | ||||
\(768\) | −8.24677e6 | − | 1.39150e7i | −0.504523 | − | 0.851293i | ||||
\(769\) | 1.31984e7 | + | 4.80382e6i | 0.804831 | + | 0.292935i | 0.711487 | − | 0.702699i | \(-0.248022\pi\) |
0.0933444 | + | 0.995634i | \(0.470244\pi\) | |||||||
\(770\) | 8.31346e6 | + | 3.02585e6i | 0.505307 | + | 0.183917i | ||||
\(771\) | 196557. | + | 331655.i | 0.0119084 | + | 0.0200933i | ||||
\(772\) | −918905. | + | 5.21137e6i | −0.0554916 | + | 0.314709i | ||||
\(773\) | 1.83689e6 | + | 3.18159e6i | 0.110569 | + | 0.191512i | 0.916000 | − | 0.401178i | \(-0.131399\pi\) |
−0.805431 | + | 0.592690i | \(0.798066\pi\) | |||||||
\(774\) | 1.12586e7 | − | 4.39103e6i | 0.675509 | − | 0.263460i | ||||
\(775\) | −4.84308e6 | + | 8.38845e6i | −0.289646 | + | 0.501681i | ||||
\(776\) | 1.53953e7 | + | 1.29182e7i | 0.917771 | + | 0.770101i | ||||
\(777\) | 2.40536e7 | − | 2.06552e7i | 1.42931 | − | 1.22738i | ||||
\(778\) | 1.50390e6 | + | 8.52903e6i | 0.0890778 | + | 0.505185i | ||||
\(779\) | −1.42226e7 | + | 1.19341e7i | −0.839719 | + | 0.704608i | ||||
\(780\) | 393004. | − | 2.38773e6i | 0.0231292 | − | 0.140523i | ||||
\(781\) | 3.51747e6 | − | 1.28025e6i | 0.206349 | − | 0.0751050i | ||||
\(782\) | 135346. | 0.00791457 | ||||||||
\(783\) | −4.07738e6 | + | 2.88655e7i | −0.237671 | + | 1.68258i | ||||
\(784\) | 408847. | 0.0237559 | ||||||||
\(785\) | 7.58136e6 | − | 2.75939e6i | 0.439110 | − | 0.159823i | ||||
\(786\) | 8.14849e6 | − | 3.07147e6i | 0.470458 | − | 0.177333i | ||||
\(787\) | 1.29836e7 | − | 1.08946e7i | 0.747239 | − | 0.627008i | −0.187532 | − | 0.982258i | \(-0.560049\pi\) |
0.934771 | + | 0.355251i | \(0.115604\pi\) | |||||||
\(788\) | 3.02869e6 | + | 1.71766e7i | 0.173756 | + | 0.985418i | ||||
\(789\) | −2.69249e6 | − | 1.43135e7i | −0.153979 | − | 0.818567i | ||||
\(790\) | −2.82454e6 | − | 2.37007e6i | −0.161020 | − | 0.135112i | ||||
\(791\) | −5.52930e6 | + | 9.57703e6i | −0.314217 | + | 0.544239i | ||||
\(792\) | −8.53922e6 | + | 1.56015e7i | −0.483732 | + | 0.883797i | ||||
\(793\) | 4.89370e6 | + | 8.47614e6i | 0.276347 | + | 0.478647i | ||||
\(794\) | 2.40942e6 | − | 1.36645e7i | 0.135632 | − | 0.769206i | ||||
\(795\) | −6.21188e6 | + | 1.10483e7i | −0.348582 | + | 0.619982i | ||||
\(796\) | 4.21271e6 | + | 1.53330e6i | 0.235656 | + | 0.0857719i | ||||
\(797\) | −1.07955e7 | − | 3.92925e6i | −0.602002 | − | 0.219111i | 0.0229978 | − | 0.999736i | \(-0.492679\pi\) |
−0.625000 | + | 0.780625i | \(0.714901\pi\) | |||||||
\(798\) | 2.14548e7 | − | 244644.i | 1.19266 | − | 0.0135996i | ||||
\(799\) | 34528.6 | − | 195821.i | 0.00191343 | − | 0.0108516i | ||||
\(800\) | −6.31389e6 | − | 1.09360e7i | −0.348797 | − | 0.604134i | ||||
\(801\) | −2.47690e7 | − | 8.38065e6i | −1.36404 | − | 0.461526i | ||||
\(802\) | 8.96413e6 | − | 1.55263e7i | 0.492121 | − | 0.852379i | ||||
\(803\) | −1.21230e7 | − | 1.01724e7i | −0.663469 | − | 0.556717i | ||||
\(804\) | −1.18263e7 | − | 4.15232e6i | −0.645219 | − | 0.226543i | ||||
\(805\) | −2.42379e6 | − | 1.37460e7i | −0.131827 | − | 0.747630i | ||||
\(806\) | −2.97245e6 | + | 2.49418e6i | −0.161167 | + | 0.135235i | ||||
\(807\) | −3.15210e6 | − | 2.58426e6i | −0.170379 | − | 0.139686i | ||||
\(808\) | 2.49394e6 | − | 907719.i | 0.134387 | − | 0.0489128i | ||||
\(809\) | −1.18026e7 | −0.634025 | −0.317012 | − | 0.948421i | \(-0.602680\pi\) | ||||
−0.317012 | + | 0.948421i | \(0.602680\pi\) | |||||||
\(810\) | 5.02217e6 | + | 3.83791e6i | 0.268955 | + | 0.205533i | ||||
\(811\) | 2.68168e7 | 1.43171 | 0.715855 | − | 0.698249i | \(-0.246037\pi\) | ||||
0.715855 | + | 0.698249i | \(0.246037\pi\) | |||||||
\(812\) | −2.94279e7 | + | 1.07109e7i | −1.56628 | + | 0.570078i | ||||
\(813\) | 2.58396e7 | + | 2.11846e7i | 1.37107 | + | 1.12407i | ||||
\(814\) | −1.07814e7 | + | 9.04664e6i | −0.570312 | + | 0.478549i | ||||
\(815\) | −2.38480e6 | − | 1.35249e7i | −0.125764 | − | 0.713245i | ||||
\(816\) | 4311.57 | + | 1513.84i | 0.000226678 | + | 7.95891e-5i | ||||
\(817\) | −2.15025e7 | − | 1.80427e7i | −1.12703 | − | 0.945686i | ||||
\(818\) | 2.07298e6 | − | 3.59050e6i | 0.108321 | − | 0.187617i | ||||
\(819\) | 9.31692e6 | − | 8.18702e6i | 0.485358 | − | 0.426497i | ||||
\(820\) | −2.93774e6 | − | 5.08831e6i | −0.152573 | − | 0.264264i | ||||
\(821\) | −4.26289e6 | + | 2.41760e7i | −0.220722 | + | 1.25178i | 0.649974 | + | 0.759956i | \(0.274780\pi\) |
−0.870696 | + | 0.491821i | \(0.836331\pi\) | |||||||
\(822\) | 1.90317e7 | − | 217014.i | 0.982423 | − | 0.0112023i | ||||
\(823\) | −5.26258e6 | − | 1.91542e6i | −0.270831 | − | 0.0985746i | 0.203035 | − | 0.979172i | \(-0.434920\pi\) |
−0.473866 | + | 0.880597i | \(0.657142\pi\) | |||||||
\(824\) | 1.46740e7 | + | 5.34089e6i | 0.752886 | + | 0.274028i | ||||
\(825\) | −6.73572e6 | + | 1.19800e7i | −0.344547 | + | 0.612805i | ||||
\(826\) | −666639. | + | 3.78070e6i | −0.0339970 | + | 0.192806i | ||||
\(827\) | 6.56956e6 | + | 1.13788e7i | 0.334020 | + | 0.578540i | 0.983296 | − | 0.182013i | \(-0.0582614\pi\) |
−0.649276 | + | 0.760553i | \(0.724928\pi\) | |||||||
\(828\) | 1.07927e7 | − | 246165.i | 0.547084 | − | 0.0124782i | ||||
\(829\) | 1.10102e7 | − | 1.90702e7i | 0.556426 | − | 0.963758i | −0.441365 | − | 0.897328i | \(-0.645506\pi\) |
0.997791 | − | 0.0664305i | \(-0.0211611\pi\) | |||||||
\(830\) | −8.22993e6 | − | 6.90573e6i | −0.414669 | − | 0.347948i | ||||
\(831\) | −2.23553e6 | − | 1.18843e7i | −0.112300 | − | 0.596995i | ||||
\(832\) | −855207. | − | 4.85012e6i | −0.0428314 | − | 0.242909i | ||||
\(833\) | 331096. | − | 277823.i | 0.0165326 | − | 0.0138725i | ||||
\(834\) | 6.77859e6 | − | 2.55511e6i | 0.337462 | − | 0.127202i | ||||
\(835\) | −8.87886e6 | + | 3.23164e6i | −0.440698 | + | 0.160401i | ||||
\(836\) | 1.58934e7 | 0.786505 | ||||||||
\(837\) | 3.50477e6 | + | 1.65456e7i | 0.172920 | + | 0.816334i | ||||
\(838\) | 1.82822e7 | 0.899327 | ||||||||
\(839\) | −1.38351e7 | + | 5.03558e6i | −0.678545 | + | 0.246970i | −0.658223 | − | 0.752823i | \(-0.728691\pi\) |
−0.0203223 | + | 0.999793i | \(0.506469\pi\) | |||||||
\(840\) | −2.86637e6 | + | 1.74148e7i | −0.140163 | + | 0.851572i | ||||
\(841\) | 2.96580e7 | − | 2.48861e7i | 1.44595 | − | 1.21329i | ||||
\(842\) | 1.88506e6 | + | 1.06907e7i | 0.0916316 | + | 0.519669i | ||||
\(843\) | −1.78298e7 | + | 1.53108e7i | −0.864127 | + | 0.742042i | ||||
\(844\) | 4.74460e6 | + | 3.98119e6i | 0.229268 | + | 0.192379i | ||||
\(845\) | −4.76517e6 | + | 8.25352e6i | −0.229581 | + | 0.397647i | ||||
\(846\) | −1.43659e6 | + | 9.39541e6i | −0.0690093 | + | 0.451325i | ||||
\(847\) | 417949. | + | 723910.i | 0.0200177 | + | 0.0346718i | ||||
\(848\) | 76059.2 | − | 431353.i | 0.00363214 | − | 0.0205989i | ||||
\(849\) | 1.98642e7 | + | 3.35173e7i | 0.945804 | + | 1.59588i | ||||
\(850\) | −124271. | − | 45230.8i | −0.00589958 | − | 0.00214727i | ||||
\(851\) | 2.08658e7 | + | 7.59452e6i | 0.987668 | + | 0.359482i | ||||
\(852\) | 1.46472e6 | + | 2.47146e6i | 0.0691285 | + | 0.116642i | ||||
\(853\) | −399625. | + | 2.26638e6i | −0.0188053 | + | 0.106650i | −0.992766 | − | 0.120068i | \(-0.961689\pi\) |
0.973960 | + | 0.226718i | \(0.0727997\pi\) | |||||||
\(854\) | −1.37316e7 | − | 2.37838e7i | −0.644281 | − | 1.11593i | ||||
\(855\) | 2.21907e6 | − | 1.45129e7i | 0.103814 | − | 0.678950i | ||||
\(856\) | 7.03985e6 | − | 1.21934e7i | 0.328382 | − | 0.568774i | ||||
\(857\) | −2.43889e7 | − | 2.04647e7i | −1.13433 | − | 0.951816i | −0.135092 | − | 0.990833i | \(-0.543133\pi\) |
−0.999239 | + | 0.0390166i | \(0.987577\pi\) | |||||||
\(858\) | −4.17700e6 | + | 3.58687e6i | −0.193708 | + | 0.166340i | ||||
\(859\) | −169991. | − | 964067.i | −0.00786038 | − | 0.0445784i | 0.980625 | − | 0.195893i | \(-0.0627605\pi\) |
−0.988486 | + | 0.151314i | \(0.951649\pi\) | |||||||
\(860\) | 6.80468e6 | − | 5.70980e6i | 0.313734 | − | 0.263254i | ||||
\(861\) | 4.89086e6 | − | 2.97148e7i | 0.224842 | − | 1.36604i | ||||
\(862\) | 1.39611e6 | − | 508143.i | 0.0639959 | − | 0.0232926i | ||||
\(863\) | −1.90286e7 | −0.869721 | −0.434861 | − | 0.900498i | \(-0.643202\pi\) | ||||
−0.434861 | + | 0.900498i | \(0.643202\pi\) | |||||||
\(864\) | −2.09651e7 | − | 6.82819e6i | −0.955459 | − | 0.311187i | ||||
\(865\) | 1.51422e7 | 0.688094 | ||||||||
\(866\) | 718805. | − | 261624.i | 0.0325699 | − | 0.0118545i | ||||
\(867\) | −2.07064e7 | + | 7.80501e6i | −0.935528 | + | 0.352635i | ||||
\(868\) | −1.39178e7 | + | 1.16784e7i | −0.627005 | + | 0.526120i | ||||
\(869\) | −2.43087e6 | − | 1.37862e7i | −0.109198 | − | 0.619290i | ||||
\(870\) | −2.37397e6 | − | 1.26202e7i | −0.106335 | − | 0.565287i | ||||
\(871\) | −7.72584e6 | − | 6.48275e6i | −0.345065 | − | 0.289544i | ||||
\(872\) | 5.74927e6 | − | 9.95803e6i | 0.256048 | − | 0.443488i | ||||
\(873\) | 2.71096e7 | − | 618328.i | 1.20389 | − | 0.0274589i | ||||
\(874\) | 7.51351e6 | + | 1.30138e7i | 0.332709 | + | 0.576268i | ||||
\(875\) | −5.77970e6 | + | 3.27783e7i | −0.255203 | + | 1.44733i | ||||
\(876\) | 5.95264e6 | − | 1.05873e7i | 0.262089 | − | 0.466147i | ||||
\(877\) | −2.05209e7 | − | 7.46899e6i | −0.900942 | − | 0.327916i | −0.150312 | − | 0.988639i | \(-0.548028\pi\) |
−0.750630 | + | 0.660723i | \(0.770250\pi\) | |||||||
\(878\) | 4.98589e6 | + | 1.81471e6i | 0.218276 | + | 0.0794460i | ||||
\(879\) | −1.70104e7 | + | 193966.i | −0.742580 | + | 0.00846747i | ||||
\(880\) | −36326.3 | + | 206017.i | −0.00158130 | + | 0.00896801i | ||||
\(881\) | −9.07580e6 | − | 1.57198e7i | −0.393954 | − | 0.682348i | 0.599013 | − | 0.800739i | \(-0.295560\pi\) |
−0.992967 | + | 0.118391i | \(0.962226\pi\) | |||||||
\(882\) | −1.55194e7 | + | 1.36373e7i | −0.671742 | + | 0.590277i | ||||
\(883\) | −1.08511e7 | + | 1.87946e7i | −0.468350 | + | 0.811205i | −0.999346 | − | 0.0361690i | \(-0.988485\pi\) |
0.530996 | + | 0.847374i | \(0.321818\pi\) | |||||||
\(884\) | 67720.3 | + | 56824.1i | 0.00291466 | + | 0.00244569i | ||||
\(885\) | 2.47853e6 | + | 870239.i | 0.106374 | + | 0.0373491i | ||||
\(886\) | 624062. | + | 3.53923e6i | 0.0267081 | + | 0.151469i | ||||
\(887\) | −1.51255e7 | + | 1.26918e7i | −0.645505 | + | 0.541643i | −0.905703 | − | 0.423912i | \(-0.860657\pi\) |
0.260198 | + | 0.965555i | \(0.416212\pi\) | |||||||
\(888\) | −2.17125e7 | − | 1.78010e7i | −0.924010 | − | 0.757552i | ||||
\(889\) | −4.27281e7 | + | 1.55517e7i | −1.81325 | + | 0.659971i | ||||
\(890\) | 1.15184e7 | 0.487437 | ||||||||
\(891\) | 5.24030e6 | + | 2.34184e7i | 0.221137 | + | 0.988241i | ||||
\(892\) | −8.57554e6 | −0.360869 | ||||||||
\(893\) | 2.07455e7 | − | 7.55074e6i | 0.870552 | − | 0.316855i | ||||
\(894\) | −2.03059e7 | − | 1.66478e7i | −0.849724 | − | 0.696648i | ||||
\(895\) | −1.01818e7 | + | 8.54356e6i | −0.424881 | + | 0.356518i | ||||
\(896\) | −4.17820e6 | − | 2.36958e7i | −0.173868 | − | 0.986054i | ||||
\(897\) | 8.19596e6 | + | 2.87769e6i | 0.340109 | + | 0.119416i | ||||
\(898\) | −7.88534e6 | − | 6.61659e6i | −0.326310 | − | 0.273806i | ||||
\(899\) | 1.71804e7 | − | 2.97573e7i | 0.708980 | − | 1.22799i | ||||
\(900\) | −9.99181e6 | − | 3.38076e6i | −0.411186 | − | 0.139126i | ||||
\(901\) | −231521. | − | 401006.i | −0.00950120 | − | 0.0164566i | ||||
\(902\) | −2.32134e6 | + | 1.31650e7i | −0.0949997 | + | 0.538770i | ||||
\(903\) | 4.55260e7 | − | 519123.i | 1.85798 | − | 0.0211861i | ||||
\(904\) | 9.20249e6 | + | 3.34943e6i | 0.374528 | + | 0.136317i | ||||
\(905\) | 9.00952e6 | + | 3.27920e6i | 0.365662 | + | 0.133090i | ||||
\(906\) | −1.32615e6 | + | 2.35866e6i | −0.0536749 | + | 0.0954651i | ||||
\(907\) | 2.04210e6 | − | 1.15813e7i | 0.0824248 | − | 0.467454i | −0.915458 | − | 0.402414i | \(-0.868171\pi\) |
0.997883 | − | 0.0650405i | \(-0.0207177\pi\) | |||||||
\(908\) | −4.00581e6 | − | 6.93826e6i | −0.161241 | − | 0.279278i | ||||
\(909\) | 1.71930e6 | − | 3.14123e6i | 0.0690148 | − | 0.126093i | ||||
\(910\) | −2.73176e6 | + | 4.73155e6i | −0.109355 | + | 0.189409i | ||||
\(911\) | −2.43647e6 | − | 2.04444e6i | −0.0972670 | − | 0.0816167i | 0.592857 | − | 0.805307i | \(-0.298000\pi\) |
−0.690124 | + | 0.723691i | \(0.742444\pi\) | |||||||
\(912\) | 93791.7 | + | 498606.i | 0.00373403 | + | 0.0198504i | ||||
\(913\) | −7.08290e6 | − | 4.01691e7i | −0.281212 | − | 1.59483i | ||||
\(914\) | −1.04801e7 | + | 8.79386e6i | −0.414955 | + | 0.348188i | ||||
\(915\) | −1.75841e7 | + | 6.62810e6i | −0.694332 | + | 0.261720i | ||||
\(916\) | −1.17101e7 | + | 4.26212e6i | −0.461127 | + | 0.167837i | ||||
\(917\) | 3.28082e7 | 1.28843 | ||||||||
\(918\) | −214157. | + | 86350.8i | −0.00838737 | + | 0.00338189i | ||||
\(919\) | −3.68457e7 | −1.43912 | −0.719562 | − | 0.694428i | \(-0.755657\pi\) | ||||
−0.719562 | + | 0.694428i | \(0.755657\pi\) | |||||||
\(920\) | −1.16153e7 | + | 4.22762e6i | −0.452439 | + | 0.164674i | ||||
\(921\) | −366563. | + | 2.22709e6i | −0.0142397 | + | 0.0865143i | ||||
\(922\) | 3.29359e6 | − | 2.76365e6i | 0.127598 | − | 0.107067i | ||||
\(923\) | 401413. | + | 2.27653e6i | 0.0155091 | + | 0.0879566i | ||||
\(924\) | −1.95578e7 | + | 1.67947e7i | −0.753600 | + | 0.647130i | ||||
\(925\) | −1.66204e7 | − | 1.39462e7i | −0.638685 | − | 0.535920i | ||||
\(926\) | −840510. | + | 1.45581e6i | −0.0322118 | + | 0.0557925i | ||||
\(927\) | 1.96297e7 | − | 7.65592e6i | 0.750266 | − | 0.292616i | ||||
\(928\) | 2.23980e7 | + | 3.87945e7i | 0.853767 | + | 1.47877i | ||||
\(929\) | −5.36862e6 | + | 3.04470e7i | −0.204091 | + | 1.15746i | 0.694773 | + | 0.719229i | \(0.255505\pi\) |
−0.898864 | + | 0.438228i | \(0.855606\pi\) | |||||||
\(930\) | −3.79837e6 | − | 6.40908e6i | −0.144009 | − | 0.242990i | ||||
\(931\) | 4.50936e7 | + | 1.64127e7i | 1.70506 | + | 0.620592i | ||||
\(932\) | 1.93463e7 | + | 7.04147e6i | 0.729555 | + | 0.265536i | ||||
\(933\) | −9.67913e6 | − | 1.63318e7i | −0.364026 | − | 0.614229i | ||||
\(934\) | −183490. | + | 1.04062e6i | −0.00688249 | + | 0.0390326i | ||||
\(935\) | 110576. | + | 191523.i | 0.00413648 | + | 0.00716460i | ||||
\(936\) | −8.57269e6 | − | 6.86639e6i | −0.319836 | − | 0.256176i | ||||
\(937\) | 2.14285e6 | − | 3.71153e6i | 0.0797339 | − | 0.138103i | −0.823401 | − | 0.567460i | \(-0.807926\pi\) |
0.903135 | + | 0.429357i | \(0.141260\pi\) | |||||||
\(938\) | 2.16785e7 | + | 1.81904e7i | 0.804492 | + | 0.675049i | ||||
\(939\) | 1.99084e7 | − | 1.70957e7i | 0.736837 | − | 0.632736i | ||||
\(940\) | 1.21318e6 | + | 6.88031e6i | 0.0447824 | + | 0.253973i | ||||
\(941\) | 1.30735e7 | − | 1.09700e7i | 0.481303 | − | 0.403861i | −0.369594 | − | 0.929193i | \(-0.620503\pi\) |
0.850897 | + | 0.525332i | \(0.176059\pi\) | |||||||
\(942\) | 2.28807e6 | − | 1.39014e7i | 0.0840123 | − | 0.510424i | ||||
\(943\) | 1.98191e7 | − | 7.21355e6i | 0.725778 | − | 0.264162i | ||||
\(944\) | −90776.9 | −0.00331547 | ||||||||
\(945\) | 1.26051e7 | + | 2.02039e7i | 0.459164 | + | 0.735962i | ||||
\(946\) | −2.02106e7 | −0.734262 | ||||||||
\(947\) | 1.40146e7 | − | 5.10091e6i | 0.507816 | − | 0.184830i | −0.0753901 | − | 0.997154i | \(-0.524020\pi\) |
0.583206 | + | 0.812324i | \(0.301798\pi\) | |||||||
\(948\) | 1.00535e7 | − | 3.78956e6i | 0.363328 | − | 0.136952i | ||||
\(949\) | 7.48662e6 | − | 6.28202e6i | 0.269849 | − | 0.226430i | ||||
\(950\) | −2.54965e6 | − | 1.44598e7i | −0.0916584 | − | 0.519821i | ||||
\(951\) | 1.59629e6 | + | 8.48602e6i | 0.0572348 | + | 0.304266i | ||||
\(952\) | −493917. | − | 414445.i | −0.0176629 | − | 0.0148209i | ||||
\(953\) | −1.08748e7 | + | 1.88358e7i | −0.387874 | + | 0.671817i | −0.992163 | − | 0.124948i | \(-0.960124\pi\) |
0.604290 | + | 0.796765i | \(0.293457\pi\) | |||||||
\(954\) | 1.15008e7 | + | 1.89107e7i | 0.409128 | + | 0.672722i | ||||
\(955\) | 4.23907e6 | + | 7.34229e6i | 0.150405 | + | 0.260509i | ||||
\(956\) | 3.40324e6 | − | 1.93007e7i | 0.120434 | − | 0.683013i | ||||
\(957\) | 2.38944e7 | − | 4.24981e7i | 0.843365 | − | 1.49999i | ||||
\(958\) | 1.75461e7 | + | 6.38627e6i | 0.617685 | + | 0.224819i | ||||
\(959\) | 6.73828e7 | + | 2.45253e7i | 2.36593 | + | 0.861129i | ||||
\(960\) | 9.45526e6 | − | 107816.i | 0.331128 | − | 0.00377577i | ||||
\(961\) | −1.50980e6 | + | 8.56250e6i | −0.0527364 | + | 0.299083i | ||||
\(962\) | −4.34577e6 | − | 7.52709e6i | −0.151401 | − | 0.262234i | ||||
\(963\) | −3.72461e6 | − | 1.86287e7i | −0.129424 | − | 0.647316i | ||||
\(964\) | −9.26301e6 | + | 1.60440e7i | −0.321040 | + | 0.556058i | ||||
\(965\) | −6.26262e6 | − | 5.25497e6i | −0.216490 | − | 0.181657i | ||||
\(966\) | −2.29976e7 | − | 8.07469e6i | −0.792939 | − | 0.278409i | ||||
\(967\) | 3.55126e6 | + | 2.01402e7i | 0.122128 | + | 0.692623i | 0.982972 | + | 0.183754i | \(0.0588251\pi\) |
−0.860844 | + | 0.508869i | \(0.830064\pi\) | |||||||
\(968\) | 567057. | − | 475817.i | 0.0194508 | − | 0.0163212i | ||||
\(969\) | 414771. | + | 340051.i | 0.0141905 | + | 0.0116342i | ||||
\(970\) | −1.12246e7 | + | 4.08541e6i | −0.383037 | + | 0.139414i | ||||
\(971\) | −1.15503e7 | −0.393137 | −0.196568 | − | 0.980490i | \(-0.562980\pi\) | ||||
−0.196568 | + | 0.980490i | \(0.562980\pi\) | |||||||
\(972\) | −1.69202e7 | + | 7.27526e6i | −0.574433 | + | 0.246992i | ||||
\(973\) | 2.72926e7 | 0.924193 | ||||||||
\(974\) | −6.12315e6 | + | 2.22865e6i | −0.206813 | + | 0.0752737i | ||||
\(975\) | −6.56362e6 | − | 5.38120e6i | −0.221122 | − | 0.181287i | ||||
\(976\) | 497461. | − | 417420.i | 0.0167161 | − | 0.0140265i | ||||
\(977\) | −6.27124e6 | − | 3.55660e7i | −0.210192 | − | 1.19206i | −0.889057 | − | 0.457796i | \(-0.848639\pi\) |
0.678865 | − | 0.734263i | \(-0.262472\pi\) | |||||||
\(978\) | −2.26276e7 | − | 7.94479e6i | −0.756470 | − | 0.265604i | ||||
\(979\) | 3.35001e7 | + | 2.81099e7i | 1.11709 | + | 0.937353i | ||||
\(980\) | −7.59307e6 | + | 1.31516e7i | −0.252553 | + | 0.437434i | ||||
\(981\) | −3.04180e6 | − | 1.52136e7i | −0.100916 | − | 0.504730i | ||||
\(982\) | 1.09746e7 | + | 1.90086e7i | 0.363170 | + | 0.629029i | ||||
\(983\) | 1.62511e6 | − | 9.21645e6i | 0.0536412 | − | 0.304214i | −0.946169 | − | 0.323672i | \(-0.895083\pi\) |
0.999811 | + | 0.0194572i | \(0.00619380\pi\) | |||||||
\(984\) | −2.66666e7 | + | 304073.i | −0.877971 | + | 0.0100113i | ||||
\(985\) | −2.53205e7 | − | 9.21591e6i | −0.831538 | − | 0.302655i | ||||
\(986\) | 440839. | + | 160452.i | 0.0144407 | + | 0.00525598i | ||||
\(987\) | −1.75497e7 | + | 3.12135e7i | −0.573425 | + | 1.01988i | ||||
\(988\) | −1.70437e6 | + | 9.66596e6i | −0.0555484 | + | 0.315031i | ||||
\(989\) | 1.59433e7 | + | 2.76146e7i | 0.518307 | + | 0.897735i | ||||
\(990\) | −5.49287e6 | − | 9.03184e6i | −0.178120 | − | 0.292879i | ||||
\(991\) | −2.35699e7 | + | 4.08243e7i | −0.762384 | + | 1.32049i | 0.179234 | + | 0.983806i | \(0.442638\pi\) |
−0.941619 | + | 0.336682i | \(0.890695\pi\) | |||||||
\(992\) | 1.99084e7 | + | 1.67051e7i | 0.642329 | + | 0.538978i | ||||
\(993\) | 1.96773e6 | + | 1.04607e7i | 0.0633276 | + | 0.336656i | ||||
\(994\) | −1.12635e6 | − | 6.38786e6i | −0.0361583 | − | 0.205064i | ||||
\(995\) | −5.30557e6 | + | 4.45190e6i | −0.169893 | + | 0.142557i | ||||
\(996\) | 2.92933e7 | − | 1.10417e7i | 0.935664 | − | 0.352687i | ||||
\(997\) | −353105. | + | 128520.i | −0.0112504 | + | 0.00409479i | −0.347639 | − | 0.937628i | \(-0.613017\pi\) |
0.336389 | + | 0.941723i | \(0.390794\pi\) | |||||||
\(998\) | −5.04935e6 | −0.160476 | ||||||||
\(999\) | −3.78612e7 | + | 1.29562e6i | −1.20027 | + | 0.0410736i |
(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 | 27.6.e.a.7.9 | yes | 84 | |
3.2 | odd | 2 | 81.6.e.a.19.6 | 84 | |||
27.2 | odd | 18 | 729.6.a.e.1.26 | 42 | |||
27.4 | even | 9 | inner | 27.6.e.a.4.9 | ✓ | 84 | |
27.23 | odd | 18 | 81.6.e.a.64.6 | 84 | |||
27.25 | even | 9 | 729.6.a.c.1.17 | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.6.e.a.4.9 | ✓ | 84 | 27.4 | even | 9 | inner | |
27.6.e.a.7.9 | yes | 84 | 1.1 | even | 1 | trivial | |
81.6.e.a.19.6 | 84 | 3.2 | odd | 2 | |||
81.6.e.a.64.6 | 84 | 27.23 | odd | 18 | |||
729.6.a.c.1.17 | 42 | 27.25 | even | 9 | |||
729.6.a.e.1.26 | 42 | 27.2 | odd | 18 |