Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,6,Mod(4,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.e (of order \(10\), degree \(4\), 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: | \(4.00959549532\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 4.6 | ||
Character | \(\chi\) | \(=\) | 25.4 |
Dual form | 25.6.e.a.19.6 |
$q$-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 \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.580095 | − | 0.188484i | −0.102547 | − | 0.0333196i | 0.257294 | − | 0.966333i | \(-0.417169\pi\) |
−0.359841 | + | 0.933014i | \(0.617169\pi\) | |||||||
\(3\) | 15.1807 | − | 20.8945i | 0.973843 | − | 1.34038i | 0.0337618 | − | 0.999430i | \(-0.489251\pi\) |
0.940081 | − | 0.340950i | \(-0.110749\pi\) | |||||||
\(4\) | −25.5876 | − | 18.5905i | −0.799611 | − | 0.580952i | ||||
\(5\) | −52.0512 | + | 20.3881i | −0.931120 | + | 0.364713i | ||||
\(6\) | −12.7445 | + | 9.25945i | −0.144526 | + | 0.105004i | ||||
\(7\) | 10.2303i | 0.0789121i | 0.999221 | + | 0.0394560i | \(0.0125625\pi\) | ||||
−0.999221 | + | 0.0394560i | \(0.987437\pi\) | |||||||
\(8\) | 22.8118 | + | 31.3978i | 0.126019 | + | 0.173450i | ||||
\(9\) | −131.033 | − | 403.279i | −0.539231 | − | 1.65958i | ||||
\(10\) | 34.0375 | − | 2.01618i | 0.107636 | − | 0.00637571i | ||||
\(11\) | 150.440 | − | 463.006i | 0.374870 | − | 1.15373i | −0.568696 | − | 0.822548i | \(-0.692552\pi\) |
0.943566 | − | 0.331184i | \(-0.107448\pi\) | |||||||
\(12\) | −776.875 | + | 252.422i | −1.55739 | + | 0.506027i | ||||
\(13\) | 868.080 | − | 282.056i | 1.42463 | − | 0.462890i | 0.507559 | − | 0.861617i | \(-0.330548\pi\) |
0.917069 | + | 0.398728i | \(0.130548\pi\) | |||||||
\(14\) | 1.92825 | − | 5.93455i | 0.00262932 | − | 0.00809222i | ||||
\(15\) | −364.177 | + | 1397.09i | −0.417911 | + | 1.60323i | ||||
\(16\) | 305.439 | + | 940.046i | 0.298281 | + | 0.918014i | ||||
\(17\) | 111.270 | + | 153.150i | 0.0933804 | + | 0.128527i | 0.853151 | − | 0.521664i | \(-0.174689\pi\) |
−0.759770 | + | 0.650191i | \(0.774689\pi\) | |||||||
\(18\) | 258.638i | 0.188153i | ||||||||
\(19\) | 433.060 | − | 314.636i | 0.275210 | − | 0.199952i | −0.441616 | − | 0.897204i | \(-0.645594\pi\) |
0.716825 | + | 0.697253i | \(0.245594\pi\) | |||||||
\(20\) | 1710.89 | + | 445.975i | 0.956415 | + | 0.249307i | ||||
\(21\) | 213.757 | + | 155.303i | 0.105772 | + | 0.0768480i | ||||
\(22\) | −174.539 | + | 240.232i | −0.0768838 | + | 0.105822i | ||||
\(23\) | −2826.19 | − | 918.286i | −1.11399 | − | 0.361958i | −0.306520 | − | 0.951864i | \(-0.599165\pi\) |
−0.807472 | + | 0.589906i | \(0.799165\pi\) | |||||||
\(24\) | 1002.34 | 0.355211 | ||||||||
\(25\) | 2293.65 | − | 2122.45i | 0.733969 | − | 0.679183i | ||||
\(26\) | −556.732 | −0.161515 | ||||||||
\(27\) | −4446.68 | − | 1444.81i | −1.17389 | − | 0.381419i | ||||
\(28\) | 190.186 | − | 261.769i | 0.0458441 | − | 0.0630990i | ||||
\(29\) | 5587.39 | + | 4059.48i | 1.23371 | + | 0.896345i | 0.997163 | − | 0.0752744i | \(-0.0239833\pi\) |
0.236550 | + | 0.971619i | \(0.423983\pi\) | |||||||
\(30\) | 474.586 | − | 741.802i | 0.0962747 | − | 0.150482i | ||||
\(31\) | −4536.49 | + | 3295.95i | −0.847843 | + | 0.615994i | −0.924550 | − | 0.381060i | \(-0.875559\pi\) |
0.0767074 | + | 0.997054i | \(0.475559\pi\) | |||||||
\(32\) | − | 1844.80i | − | 0.318474i | ||||||
\(33\) | −7390.47 | − | 10172.1i | −1.18137 | − | 1.62602i | ||||
\(34\) | −35.6808 | − | 109.814i | −0.00529343 | − | 0.0162915i | ||||
\(35\) | −208.576 | − | 532.500i | −0.0287802 | − | 0.0734766i | ||||
\(36\) | −4144.31 | + | 12754.9i | −0.532962 | + | 1.64029i | ||||
\(37\) | 5692.75 | − | 1849.69i | 0.683625 | − | 0.222123i | 0.0534431 | − | 0.998571i | \(-0.482980\pi\) |
0.630182 | + | 0.776448i | \(0.282980\pi\) | |||||||
\(38\) | −310.520 | + | 100.894i | −0.0348843 | + | 0.0113346i | ||||
\(39\) | 7284.66 | − | 22419.9i | 0.766916 | − | 2.36032i | ||||
\(40\) | −1827.52 | − | 1169.20i | −0.180598 | − | 0.115542i | ||||
\(41\) | 927.964 | + | 2855.98i | 0.0862128 | + | 0.265336i | 0.984864 | − | 0.173328i | \(-0.0554520\pi\) |
−0.898651 | + | 0.438663i | \(0.855452\pi\) | |||||||
\(42\) | −94.7270 | − | 130.380i | −0.00828611 | − | 0.0114048i | ||||
\(43\) | − | 13831.0i | − | 1.14073i | −0.821392 | − | 0.570364i | \(-0.806802\pi\) | ||
0.821392 | − | 0.570364i | \(-0.193198\pi\) | |||||||
\(44\) | −12456.9 | + | 9050.45i | −0.970012 | + | 0.704755i | ||||
\(45\) | 15042.5 | + | 18319.6i | 1.10736 | + | 1.34861i | ||||
\(46\) | 1466.38 | + | 1065.39i | 0.102177 | + | 0.0742356i | ||||
\(47\) | −16043.3 | + | 22081.8i | −1.05938 | + | 1.45811i | −0.178990 | + | 0.983851i | \(0.557283\pi\) |
−0.880387 | + | 0.474256i | \(0.842717\pi\) | |||||||
\(48\) | 24278.5 | + | 7888.58i | 1.52097 | + | 0.494192i | ||||
\(49\) | 16702.3 | 0.993773 | ||||||||
\(50\) | −1730.59 | + | 798.902i | −0.0978967 | + | 0.0451927i | ||||
\(51\) | 4889.15 | 0.263213 | ||||||||
\(52\) | −27455.6 | − | 8920.87i | −1.40806 | − | 0.457508i | ||||
\(53\) | −10251.9 | + | 14110.6i | −0.501322 | + | 0.690010i | −0.982426 | − | 0.186653i | \(-0.940236\pi\) |
0.481104 | + | 0.876664i | \(0.340236\pi\) | |||||||
\(54\) | 2307.17 | + | 1676.26i | 0.107670 | + | 0.0782270i | ||||
\(55\) | 1609.22 | + | 27167.2i | 0.0717314 | + | 1.21098i | ||||
\(56\) | −321.209 | + | 233.372i | −0.0136873 | + | 0.00994439i | ||||
\(57\) | − | 13825.0i | − | 0.563607i | ||||||
\(58\) | −2476.07 | − | 3408.02i | −0.0966480 | − | 0.133025i | ||||
\(59\) | −5608.17 | − | 17260.2i | −0.209745 | − | 0.645528i | −0.999485 | − | 0.0320865i | \(-0.989785\pi\) |
0.789740 | − | 0.613441i | \(-0.210215\pi\) | |||||||
\(60\) | 35290.9 | − | 28977.8i | 1.26556 | − | 1.03917i | ||||
\(61\) | 11412.8 | − | 35125.0i | 0.392706 | − | 1.20862i | −0.538028 | − | 0.842927i | \(-0.680831\pi\) |
0.930734 | − | 0.365697i | \(-0.119169\pi\) | |||||||
\(62\) | 3252.83 | − | 1056.91i | 0.107469 | − | 0.0349187i | ||||
\(63\) | 4125.67 | − | 1340.51i | 0.130961 | − | 0.0425519i | ||||
\(64\) | 9426.35 | − | 29011.3i | 0.287669 | − | 0.885355i | ||||
\(65\) | −39434.0 | + | 32379.8i | −1.15768 | + | 0.950586i | ||||
\(66\) | 2369.89 | + | 7293.78i | 0.0669683 | + | 0.206107i | ||||
\(67\) | 8964.83 | + | 12339.0i | 0.243981 | + | 0.335810i | 0.913392 | − | 0.407082i | \(-0.133454\pi\) |
−0.669411 | + | 0.742892i | \(0.733454\pi\) | |||||||
\(68\) | − | 5987.30i | − | 0.157021i | ||||||
\(69\) | −62090.7 | + | 45111.5i | −1.57001 | + | 1.14068i | ||||
\(70\) | 20.6261 | + | 348.214i | 0.000503121 | + | 0.00849378i | ||||
\(71\) | −4506.39 | − | 3274.09i | −0.106092 | − | 0.0770805i | 0.533474 | − | 0.845816i | \(-0.320886\pi\) |
−0.639566 | + | 0.768736i | \(0.720886\pi\) | |||||||
\(72\) | 9672.94 | − | 13313.7i | 0.219901 | − | 0.302668i | ||||
\(73\) | −26400.2 | − | 8577.96i | −0.579830 | − | 0.188398i | 0.00439445 | − | 0.999990i | \(-0.498601\pi\) |
−0.584224 | + | 0.811592i | \(0.698601\pi\) | |||||||
\(74\) | −3650.97 | −0.0775049 | ||||||||
\(75\) | −9528.04 | − | 80144.9i | −0.195592 | − | 1.64522i | ||||
\(76\) | −16930.2 | −0.336223 | ||||||||
\(77\) | 4736.69 | + | 1539.04i | 0.0910433 | + | 0.0295818i | ||||
\(78\) | −8451.59 | + | 11632.6i | −0.157290 | + | 0.216492i | ||||
\(79\) | 79695.5 | + | 57902.2i | 1.43670 | + | 1.04382i | 0.988719 | + | 0.149780i | \(0.0478566\pi\) |
0.447981 | + | 0.894043i | \(0.352143\pi\) | |||||||
\(80\) | −35064.2 | − | 42703.2i | −0.612546 | − | 0.745994i | ||||
\(81\) | −14331.4 | + | 10412.4i | −0.242704 | + | 0.176335i | ||||
\(82\) | − | 1831.65i | − | 0.0300820i | ||||||
\(83\) | 3239.71 | + | 4459.08i | 0.0516192 | + | 0.0710477i | 0.834046 | − | 0.551694i | \(-0.186019\pi\) |
−0.782427 | + | 0.622742i | \(0.786019\pi\) | |||||||
\(84\) | −2582.35 | − | 7947.67i | −0.0399317 | − | 0.122897i | ||||
\(85\) | −8914.17 | − | 5703.06i | −0.133824 | − | 0.0856172i | ||||
\(86\) | −2606.92 | + | 8023.29i | −0.0380086 | + | 0.116979i | ||||
\(87\) | 169641. | − | 55119.8i | 2.40289 | − | 0.780745i | ||||
\(88\) | 17969.1 | − | 5838.53i | 0.247355 | − | 0.0803705i | ||||
\(89\) | −15733.3 | + | 48422.2i | −0.210545 | + | 0.647992i | 0.788895 | + | 0.614529i | \(0.210654\pi\) |
−0.999440 | + | 0.0334634i | \(0.989346\pi\) | |||||||
\(90\) | −5273.12 | − | 13462.4i | −0.0686217 | − | 0.175193i | ||||
\(91\) | 2885.52 | + | 8880.73i | 0.0365276 | + | 0.112420i | ||||
\(92\) | 55244.0 | + | 76036.9i | 0.680481 | + | 0.936601i | ||||
\(93\) | 144822.i | 1.73631i | ||||||||
\(94\) | 13468.7 | − | 9785.61i | 0.157220 | − | 0.114227i | ||||
\(95\) | −16126.5 | + | 25206.5i | −0.183329 | + | 0.286552i | ||||
\(96\) | −38546.1 | − | 28005.4i | −0.426876 | − | 0.310144i | ||||
\(97\) | −24878.4 | + | 34242.2i | −0.268468 | + | 0.369515i | −0.921872 | − | 0.387495i | \(-0.873340\pi\) |
0.653404 | + | 0.757010i | \(0.273340\pi\) | |||||||
\(98\) | −9688.95 | − | 3148.13i | −0.101909 | − | 0.0331122i | ||||
\(99\) | −206433. | −2.11686 | ||||||||
\(100\) | −98146.2 | + | 11668.1i | −0.981462 | + | 0.116681i | ||||
\(101\) | 158775. | 1.54874 | 0.774370 | − | 0.632733i | \(-0.218067\pi\) | ||||
0.774370 | + | 0.632733i | \(0.218067\pi\) | |||||||
\(102\) | −2836.17 | − | 921.527i | −0.0269918 | − | 0.00877017i | ||||
\(103\) | 79762.6 | − | 109784.i | 0.740809 | − | 1.01964i | −0.257762 | − | 0.966208i | \(-0.582985\pi\) |
0.998572 | − | 0.0534283i | \(-0.0170149\pi\) | |||||||
\(104\) | 28658.4 | + | 20821.6i | 0.259818 | + | 0.188769i | ||||
\(105\) | −14292.6 | − | 3725.64i | −0.126514 | − | 0.0329783i | ||||
\(106\) | 8606.73 | − | 6253.16i | 0.0744001 | − | 0.0540548i | ||||
\(107\) | 61513.7i | 0.519413i | 0.965688 | + | 0.259706i | \(0.0836258\pi\) | ||||
−0.965688 | + | 0.259706i | \(0.916374\pi\) | |||||||
\(108\) | 86920.0 | + | 119635.i | 0.717068 | + | 0.986959i | ||||
\(109\) | −10287.6 | − | 31661.9i | −0.0829368 | − | 0.255253i | 0.900986 | − | 0.433849i | \(-0.142845\pi\) |
−0.983923 | + | 0.178595i | \(0.942845\pi\) | |||||||
\(110\) | 4187.09 | − | 16062.9i | 0.0329936 | − | 0.126573i | ||||
\(111\) | 47771.8 | − | 147026.i | 0.368014 | − | 1.13263i | ||||
\(112\) | −9616.96 | + | 3124.74i | −0.0724424 | + | 0.0235380i | ||||
\(113\) | −99978.6 | + | 32485.0i | −0.736565 | + | 0.239324i | −0.653190 | − | 0.757194i | \(-0.726570\pi\) |
−0.0833745 | + | 0.996518i | \(0.526570\pi\) | |||||||
\(114\) | −2605.79 | + | 8019.79i | −0.0187792 | + | 0.0577964i | ||||
\(115\) | 165829. | − | 9822.71i | 1.16927 | − | 0.0692607i | ||||
\(116\) | −67500.2 | − | 207744.i | −0.465758 | − | 1.43345i | ||||
\(117\) | −227495. | − | 313120.i | −1.53641 | − | 2.11468i | ||||
\(118\) | 11069.6i | 0.0731857i | ||||||||
\(119\) | −1566.77 | + | 1138.33i | −0.0101423 | + | 0.00736884i | ||||
\(120\) | −52172.9 | + | 20435.7i | −0.330744 | + | 0.129550i | ||||
\(121\) | −61449.3 | − | 44645.5i | −0.381552 | − | 0.277213i | ||||
\(122\) | −13241.0 | + | 18224.7i | −0.0805419 | + | 0.110856i | ||||
\(123\) | 73761.3 | + | 23966.5i | 0.439608 | + | 0.142837i | ||||
\(124\) | 177351. | 1.03581 | ||||||||
\(125\) | −76114.9 | + | 157239.i | −0.435707 | + | 0.900088i | ||||
\(126\) | −2645.94 | −0.0148475 | ||||||||
\(127\) | −53274.7 | − | 17310.0i | −0.293097 | − | 0.0952330i | 0.158778 | − | 0.987314i | \(-0.449245\pi\) |
−0.451875 | + | 0.892081i | \(0.649245\pi\) | |||||||
\(128\) | −45635.4 | + | 62811.8i | −0.246194 | + | 0.338857i | ||||
\(129\) | −288991. | − | 209964.i | −1.52901 | − | 1.11089i | ||||
\(130\) | 28978.6 | − | 11350.7i | 0.150390 | − | 0.0589066i | ||||
\(131\) | −10112.9 | + | 7347.47i | −0.0514871 | + | 0.0374076i | −0.613231 | − | 0.789904i | \(-0.710131\pi\) |
0.561744 | + | 0.827311i | \(0.310131\pi\) | |||||||
\(132\) | 397672.i | 1.98651i | ||||||||
\(133\) | 3218.83 | + | 4430.34i | 0.0157786 | + | 0.0217174i | ||||
\(134\) | −2874.74 | − | 8847.55i | −0.0138305 | − | 0.0425658i | ||||
\(135\) | 260912. | − | 15454.9i | 1.23214 | − | 0.0729846i | ||||
\(136\) | −2270.30 | + | 6987.26i | −0.0105253 | + | 0.0323936i | ||||
\(137\) | 87123.6 | − | 28308.2i | 0.396583 | − | 0.128858i | −0.103934 | − | 0.994584i | \(-0.533143\pi\) |
0.500517 | + | 0.865726i | \(0.333143\pi\) | |||||||
\(138\) | 44521.3 | − | 14465.9i | 0.199008 | − | 0.0646616i | ||||
\(139\) | −83333.2 | + | 256473.i | −0.365831 | + | 1.12591i | 0.583627 | + | 0.812022i | \(0.301633\pi\) |
−0.949459 | + | 0.313892i | \(0.898367\pi\) | |||||||
\(140\) | −4562.46 | + | 17502.9i | −0.0196734 | + | 0.0754727i | ||||
\(141\) | 217837. | + | 670434.i | 0.922751 | + | 2.83993i | ||||
\(142\) | 1997.02 | + | 2748.67i | 0.00831117 | + | 0.0114393i | ||||
\(143\) | − | 444359.i | − | 1.81716i | ||||||
\(144\) | 339078. | − | 246355.i | 1.36268 | − | 0.990044i | ||||
\(145\) | −373595. | − | 97384.6i | −1.47564 | − | 0.384654i | ||||
\(146\) | 13697.8 | + | 9952.06i | 0.0531826 | + | 0.0386394i | ||||
\(147\) | 253553. | − | 348986.i | 0.967779 | − | 1.33203i | ||||
\(148\) | −180050. | − | 58501.8i | −0.675677 | − | 0.219541i | ||||
\(149\) | 262709. | 0.969415 | 0.484707 | − | 0.874676i | \(-0.338926\pi\) | ||||
0.484707 | + | 0.874676i | \(0.338926\pi\) | |||||||
\(150\) | −9578.89 | + | 48287.6i | −0.0347606 | + | 0.175229i | ||||
\(151\) | −102301. | −0.365121 | −0.182560 | − | 0.983195i | \(-0.558439\pi\) | ||||
−0.182560 | + | 0.983195i | \(0.558439\pi\) | |||||||
\(152\) | 19757.8 | + | 6419.68i | 0.0693631 | + | 0.0225374i | ||||
\(153\) | 47182.1 | − | 64940.6i | 0.162948 | − | 0.224278i | ||||
\(154\) | −2457.65 | − | 1785.58i | −0.00835060 | − | 0.00606706i | ||||
\(155\) | 168932. | − | 264048.i | 0.564783 | − | 0.882783i | ||||
\(156\) | −603192. | + | 438245.i | −1.98447 | + | 1.44180i | ||||
\(157\) | 342002.i | 1.10734i | 0.832737 | + | 0.553668i | \(0.186772\pi\) | ||||
−0.832737 | + | 0.553668i | \(0.813228\pi\) | |||||||
\(158\) | −35317.3 | − | 48610.1i | −0.112550 | − | 0.154912i | ||||
\(159\) | 139201. | + | 428418.i | 0.436667 | + | 1.34392i | ||||
\(160\) | 37611.9 | + | 96024.0i | 0.116152 | + | 0.296538i | ||||
\(161\) | 9394.34 | − | 28912.8i | 0.0285629 | − | 0.0879074i | ||||
\(162\) | 10276.2 | − | 3338.92i | 0.0307640 | − | 0.00999583i | ||||
\(163\) | −309013. | + | 100404.i | −0.910977 | + | 0.295994i | −0.726760 | − | 0.686891i | \(-0.758975\pi\) |
−0.184217 | + | 0.982886i | \(0.558975\pi\) | |||||||
\(164\) | 29349.6 | − | 90328.8i | 0.0852104 | − | 0.262251i | ||||
\(165\) | 592073. | + | 378793.i | 1.69303 | + | 1.08316i | ||||
\(166\) | −1038.87 | − | 3197.33i | −0.00292612 | − | 0.00900568i | ||||
\(167\) | −252162. | − | 347071.i | −0.699663 | − | 0.963003i | −0.999958 | − | 0.00915693i | \(-0.997085\pi\) |
0.300295 | − | 0.953846i | \(-0.402915\pi\) | |||||||
\(168\) | 10254.2i | 0.0280304i | ||||||||
\(169\) | 373625. | − | 271454.i | 1.00628 | − | 0.731106i | ||||
\(170\) | 4096.13 | + | 4988.50i | 0.0108705 | + | 0.0132388i | ||||
\(171\) | −183631. | − | 133416.i | −0.480238 | − | 0.348914i | ||||
\(172\) | −257124. | + | 353901.i | −0.662707 | + | 0.912138i | ||||
\(173\) | −58227.4 | − | 18919.2i | −0.147915 | − | 0.0480605i | 0.234124 | − | 0.972207i | \(-0.424778\pi\) |
−0.382039 | + | 0.924146i | \(0.624778\pi\) | |||||||
\(174\) | −108797. | −0.272424 | ||||||||
\(175\) | 21713.3 | + | 23464.8i | 0.0535957 | + | 0.0579191i | ||||
\(176\) | 481197. | 1.17096 | ||||||||
\(177\) | −445778. | − | 144842.i | −1.06951 | − | 0.347505i | ||||
\(178\) | 18253.7 | − | 25124.0i | 0.0431817 | − | 0.0594345i | ||||
\(179\) | −262497. | − | 190715.i | −0.612339 | − | 0.444891i | 0.237898 | − | 0.971290i | \(-0.423542\pi\) |
−0.850237 | + | 0.526400i | \(0.823542\pi\) | |||||||
\(180\) | −44330.9 | − | 748402.i | −0.101982 | − | 1.72168i | ||||
\(181\) | 197793. | − | 143705.i | 0.448760 | − | 0.326044i | −0.340346 | − | 0.940300i | \(-0.610544\pi\) |
0.789106 | + | 0.614257i | \(0.210544\pi\) | |||||||
\(182\) | − | 5695.54i | − | 0.0127455i | ||||||
\(183\) | −560663. | − | 771686.i | −1.23758 | − | 1.70339i | ||||
\(184\) | −35638.4 | − | 109684.i | −0.0776022 | − | 0.238835i | ||||
\(185\) | −258603. | + | 212342.i | −0.555526 | + | 0.456150i | ||||
\(186\) | 27296.7 | − | 84010.7i | 0.0578533 | − | 0.178054i | ||||
\(187\) | 87648.8 | − | 28478.8i | 0.183291 | − | 0.0595550i | ||||
\(188\) | 821020. | − | 266766.i | 1.69418 | − | 0.550472i | ||||
\(189\) | 14780.9 | − | 45490.9i | 0.0300986 | − | 0.0926339i | ||||
\(190\) | 14105.9 | − | 11582.6i | 0.0283476 | − | 0.0232766i | ||||
\(191\) | 56407.6 | + | 173605.i | 0.111880 | + | 0.344333i | 0.991284 | − | 0.131745i | \(-0.0420581\pi\) |
−0.879403 | + | 0.476078i | \(0.842058\pi\) | |||||||
\(192\) | −463077. | − | 637371.i | −0.906568 | − | 1.24778i | ||||
\(193\) | 625397.i | 1.20854i | 0.796778 | + | 0.604272i | \(0.206536\pi\) | ||||
−0.796778 | + | 0.604272i | \(0.793464\pi\) | |||||||
\(194\) | 20885.9 | − | 15174.5i | 0.0398428 | − | 0.0289475i | ||||
\(195\) | 77922.5 | + | 1.31550e6i | 0.146749 | + | 2.47745i | ||||
\(196\) | −427372. | − | 310504.i | −0.794632 | − | 0.577334i | ||||
\(197\) | −54003.7 | + | 74329.7i | −0.0991420 | + | 0.136457i | −0.855706 | − | 0.517463i | \(-0.826877\pi\) |
0.756564 | + | 0.653920i | \(0.226877\pi\) | |||||||
\(198\) | 119751. | + | 38909.4i | 0.217078 | + | 0.0705328i | ||||
\(199\) | −36116.8 | −0.0646512 | −0.0323256 | − | 0.999477i | \(-0.510291\pi\) | ||||
−0.0323256 | + | 0.999477i | \(0.510291\pi\) | |||||||
\(200\) | 118962. | + | 23598.8i | 0.210298 | + | 0.0417171i | ||||
\(201\) | 393910. | 0.687712 | ||||||||
\(202\) | −92104.6 | − | 29926.6i | −0.158819 | − | 0.0516035i | ||||
\(203\) | −41529.7 | + | 57160.7i | −0.0707324 | + | 0.0973549i | ||||
\(204\) | −125101. | − | 90891.4i | −0.210468 | − | 0.152914i | ||||
\(205\) | −106530. | − | 129738.i | −0.177046 | − | 0.215616i | ||||
\(206\) | −66962.5 | + | 48651.1i | −0.109942 | + | 0.0798775i | ||||
\(207\) | 1.26007e6i | 2.04394i | ||||||||
\(208\) | 530292. | + | 729884.i | 0.849878 | + | 1.16976i | ||||
\(209\) | −80529.1 | − | 247843.i | −0.127523 | − | 0.392474i | ||||
\(210\) | 7588.86 | + | 4855.16i | 0.0118749 | + | 0.00759723i | ||||
\(211\) | 165545. | − | 509496.i | 0.255983 | − | 0.787833i | −0.737652 | − | 0.675181i | \(-0.764065\pi\) |
0.993634 | − | 0.112652i | \(-0.0359346\pi\) | |||||||
\(212\) | 524645. | − | 170467.i | 0.801725 | − | 0.260496i | ||||
\(213\) | −136821. | + | 44455.7i | −0.206634 | + | 0.0671395i | ||||
\(214\) | 11594.4 | − | 35683.8i | 0.0173066 | − | 0.0532644i | ||||
\(215\) | 281987. | + | 719919.i | 0.416038 | + | 1.06215i | ||||
\(216\) | −56072.9 | − | 172575.i | −0.0817746 | − | 0.251676i | ||||
\(217\) | −33718.6 | − | 46409.7i | −0.0486094 | − | 0.0669051i | ||||
\(218\) | 20306.0i | 0.0289390i | ||||||||
\(219\) | −580006. | + | 421399.i | −0.817189 | + | 0.593722i | ||||
\(220\) | 463874. | − | 725058.i | 0.646165 | − | 1.00999i | ||||
\(221\) | 139788. | + | 101562.i | 0.192526 | + | 0.139879i | ||||
\(222\) | −55424.4 | + | 76285.1i | −0.0754776 | + | 0.103886i | ||||
\(223\) | 564952. | + | 183564.i | 0.760763 | + | 0.247187i | 0.663606 | − | 0.748082i | \(-0.269025\pi\) |
0.0971567 | + | 0.995269i | \(0.469025\pi\) | |||||||
\(224\) | 18872.9 | 0.0251315 | ||||||||
\(225\) | −1.15648e6 | − | 646871.i | −1.52294 | − | 0.851847i | ||||
\(226\) | 64120.0 | 0.0835069 | ||||||||
\(227\) | 277719. | + | 90236.4i | 0.357718 | + | 0.116230i | 0.482362 | − | 0.875972i | \(-0.339779\pi\) |
−0.124644 | + | 0.992202i | \(0.539779\pi\) | |||||||
\(228\) | −257012. | + | 353747.i | −0.327429 | + | 0.450667i | ||||
\(229\) | 369812. | + | 268684.i | 0.466007 | + | 0.338574i | 0.795883 | − | 0.605451i | \(-0.207007\pi\) |
−0.329876 | + | 0.944024i | \(0.607007\pi\) | |||||||
\(230\) | −98047.9 | − | 25558.0i | −0.122213 | − | 0.0318572i | ||||
\(231\) | 104064. | − | 75606.8i | 0.128313 | − | 0.0932247i | ||||
\(232\) | 268036.i | 0.326943i | ||||||||
\(233\) | −215364. | − | 296422.i | −0.259886 | − | 0.357702i | 0.659057 | − | 0.752093i | \(-0.270956\pi\) |
−0.918943 | + | 0.394391i | \(0.870956\pi\) | |||||||
\(234\) | 72950.4 | + | 224518.i | 0.0870940 | + | 0.268048i | ||||
\(235\) | 384871. | − | 1.47648e6i | 0.454617 | − | 1.74404i | ||||
\(236\) | −177375. | + | 545904.i | −0.207306 | + | 0.638023i | ||||
\(237\) | 2.41967e6 | − | 786198.i | 2.79824 | − | 0.909204i | ||||
\(238\) | 1123.43 | − | 365.026i | 0.00128560 | − | 0.000417716i | ||||
\(239\) | −3590.22 | + | 11049.6i | −0.00406561 | + | 0.0125127i | −0.953069 | − | 0.302754i | \(-0.902094\pi\) |
0.949003 | + | 0.315267i | \(0.102094\pi\) | |||||||
\(240\) | −1.42456e6 | + | 84382.4i | −1.59644 | + | 0.0945636i | ||||
\(241\) | 196652. | + | 605232.i | 0.218100 | + | 0.671242i | 0.998919 | + | 0.0464851i | \(0.0148020\pi\) |
−0.780819 | + | 0.624757i | \(0.785198\pi\) | |||||||
\(242\) | 27231.4 | + | 37480.9i | 0.0298904 | + | 0.0411406i | ||||
\(243\) | − | 678637.i | − | 0.737262i | ||||||
\(244\) | −945014. | + | 686593.i | −1.01616 | + | 0.738287i | ||||
\(245\) | −869377. | + | 340528.i | −0.925322 | + | 0.362442i | ||||
\(246\) | −38271.3 | − | 27805.7i | −0.0403213 | − | 0.0292952i | ||||
\(247\) | 287186. | − | 395277.i | 0.299516 | − | 0.412249i | ||||
\(248\) | −206971. | − | 67248.9i | −0.213688 | − | 0.0694314i | ||||
\(249\) | 142351. | 0.145500 | ||||||||
\(250\) | 73791.0 | − | 76867.1i | 0.0746712 | − | 0.0777840i | ||||
\(251\) | −1.14164e6 | −1.14379 | −0.571894 | − | 0.820327i | \(-0.693791\pi\) | ||||
−0.571894 | + | 0.820327i | \(0.693791\pi\) | |||||||
\(252\) | −130486. | − | 42397.6i | −0.129439 | − | 0.0420572i | ||||
\(253\) | −850343. | + | 1.17040e6i | −0.835205 | + | 1.14956i | ||||
\(254\) | 27641.7 | + | 20082.9i | 0.0268832 | + | 0.0195318i | ||||
\(255\) | −254486. | + | 99680.2i | −0.245083 | + | 0.0959971i | ||||
\(256\) | −751400. | + | 545924.i | −0.716591 | + | 0.520634i | ||||
\(257\) | − | 1.07615e6i | − | 1.01634i | −0.861257 | − | 0.508169i | \(-0.830323\pi\) | ||
0.861257 | − | 0.508169i | \(-0.169677\pi\) | |||||||
\(258\) | 128067. | + | 176269.i | 0.119781 | + | 0.164865i | ||||
\(259\) | 18922.9 | + | 58238.6i | 0.0175282 | + | 0.0539462i | ||||
\(260\) | 1.61098e6 | − | 95424.6i | 1.47794 | − | 0.0875442i | ||||
\(261\) | 904967. | − | 2.78520e6i | 0.822302 | − | 2.53079i | ||||
\(262\) | 7251.34 | − | 2356.10i | 0.00652627 | − | 0.00212051i | ||||
\(263\) | −603693. | + | 196152.i | −0.538179 | + | 0.174865i | −0.565480 | − | 0.824762i | \(-0.691309\pi\) |
0.0273006 | + | 0.999627i | \(0.491309\pi\) | |||||||
\(264\) | 150791. | − | 464089.i | 0.133158 | − | 0.409818i | ||||
\(265\) | 245938. | − | 943490.i | 0.215135 | − | 0.825321i | ||||
\(266\) | −1032.18 | − | 3176.71i | −0.000894438 | − | 0.00275280i | ||||
\(267\) | 772913. | + | 1.06382e6i | 0.663517 | + | 0.913253i | ||||
\(268\) | − | 482386.i | − | 0.410259i | ||||||
\(269\) | −1.46636e6 | + | 1.06538e6i | −1.23555 | + | 0.897681i | −0.997294 | − | 0.0735202i | \(-0.976577\pi\) |
−0.238259 | + | 0.971202i | \(0.576577\pi\) | |||||||
\(270\) | −154267. | − | 40212.5i | −0.128784 | − | 0.0335701i | ||||
\(271\) | −1.39034e6 | − | 1.01014e6i | −1.15000 | − | 0.835524i | −0.161520 | − | 0.986869i | \(-0.551640\pi\) |
−0.988481 | + | 0.151345i | \(0.951640\pi\) | |||||||
\(272\) | −109982. | + | 151377.i | −0.0901361 | + | 0.124062i | ||||
\(273\) | 229362. | + | 74524.3i | 0.186258 | + | 0.0605189i | ||||
\(274\) | −55875.6 | −0.0449620 | ||||||||
\(275\) | −637648. | − | 1.38128e6i | −0.508451 | − | 1.10141i | ||||
\(276\) | 2.42739e6 | 1.91808 | ||||||||
\(277\) | −1.76346e6 | − | 572983.i | −1.38091 | − | 0.448686i | −0.477943 | − | 0.878391i | \(-0.658618\pi\) |
−0.902969 | + | 0.429705i | \(0.858618\pi\) | |||||||
\(278\) | 96682.4 | − | 133072.i | 0.0750301 | − | 0.103270i | ||||
\(279\) | 1.92362e6 | + | 1.39759e6i | 1.47948 | + | 1.07490i | ||||
\(280\) | 11961.3 | − | 18696.1i | 0.00911766 | − | 0.0142513i | ||||
\(281\) | 789897. | − | 573894.i | 0.596767 | − | 0.433576i | −0.247963 | − | 0.968769i | \(-0.579761\pi\) |
0.844730 | + | 0.535193i | \(0.179761\pi\) | |||||||
\(282\) | − | 429975.i | − | 0.321973i | ||||||
\(283\) | 1.18036e6 | + | 1.62463e6i | 0.876093 | + | 1.20584i | 0.977488 | + | 0.210992i | \(0.0676693\pi\) |
−0.101395 | + | 0.994846i | \(0.532331\pi\) | |||||||
\(284\) | 54440.9 | + | 167552.i | 0.0400525 | + | 0.123269i | ||||
\(285\) | 281864. | + | 719606.i | 0.205555 | + | 0.524786i | ||||
\(286\) | −83754.6 | + | 257770.i | −0.0605472 | + | 0.186345i | ||||
\(287\) | −29217.5 | + | 9493.36i | −0.0209382 | + | 0.00680323i | ||||
\(288\) | −743968. | + | 241730.i | −0.528534 | + | 0.171731i | ||||
\(289\) | 427686. | − | 1.31628e6i | 0.301218 | − | 0.927053i | ||||
\(290\) | 198365. | + | 126909.i | 0.138507 | + | 0.0886131i | ||||
\(291\) | 337800. | + | 1.03964e6i | 0.233844 | + | 0.719699i | ||||
\(292\) | 516050. | + | 710281.i | 0.354188 | + | 0.487498i | ||||
\(293\) | 1.82689e6i | 1.24320i | 0.783333 | + | 0.621602i | \(0.213518\pi\) | ||||
−0.783333 | + | 0.621602i | \(0.786482\pi\) | |||||||
\(294\) | −212864. | + | 154654.i | −0.143626 | + | 0.104350i | ||||
\(295\) | 643813. | + | 784072.i | 0.430730 | + | 0.524567i | ||||
\(296\) | 187938. | + | 136545.i | 0.124677 | + | 0.0905829i | ||||
\(297\) | −1.33791e6 | + | 1.84148e6i | −0.880111 | + | 1.21137i | ||||
\(298\) | −152396. | − | 49516.6i | −0.0994109 | − | 0.0323005i | ||||
\(299\) | −2.71237e6 | −1.75457 | ||||||||
\(300\) | −1.24613e6 | + | 2.22784e6i | −0.799393 | + | 1.42916i | ||||
\(301\) | 141495. | 0.0900172 | ||||||||
\(302\) | 59344.2 | + | 19282.1i | 0.0374422 | + | 0.0121657i | ||||
\(303\) | 2.41032e6 | − | 3.31752e6i | 1.50823 | − | 2.07590i | ||||
\(304\) | 428046. | + | 310994.i | 0.265648 | + | 0.193005i | ||||
\(305\) | 122080. | + | 2.06098e6i | 0.0751443 | + | 1.26860i | ||||
\(306\) | −39610.4 | + | 28778.6i | −0.0241827 | + | 0.0175698i | ||||
\(307\) | 728846.i | 0.441357i | 0.975347 | + | 0.220678i | \(0.0708271\pi\) | ||||
−0.975347 | + | 0.220678i | \(0.929173\pi\) | |||||||
\(308\) | −92588.8 | − | 127438.i | −0.0556137 | − | 0.0765457i | ||||
\(309\) | −1.08302e6 | − | 3.33319e6i | −0.645269 | − | 1.98593i | ||||
\(310\) | −147765. | + | 121332.i | −0.0873310 | + | 0.0717087i | ||||
\(311\) | −803693. | + | 2.47351e6i | −0.471183 | + | 1.45015i | 0.379855 | + | 0.925046i | \(0.375974\pi\) |
−0.851037 | + | 0.525105i | \(0.824026\pi\) | |||||||
\(312\) | 870110. | − | 282716.i | 0.506043 | − | 0.164423i | ||||
\(313\) | 1.66255e6 | − | 540195.i | 0.959211 | − | 0.311666i | 0.212758 | − | 0.977105i | \(-0.431755\pi\) |
0.746453 | + | 0.665438i | \(0.231755\pi\) | |||||||
\(314\) | 64462.0 | − | 198394.i | 0.0368961 | − | 0.113554i | ||||
\(315\) | −187415. | + | 153889.i | −0.106421 | + | 0.0873841i | ||||
\(316\) | −962786. | − | 2.96315e6i | −0.542390 | − | 1.66931i | ||||
\(317\) | −987747. | − | 1.35952e6i | −0.552075 | − | 0.759866i | 0.438217 | − | 0.898869i | \(-0.355610\pi\) |
−0.990292 | + | 0.139004i | \(0.955610\pi\) | |||||||
\(318\) | − | 274760.i | − | 0.152365i | ||||||
\(319\) | 2.72013e6 | − | 1.97629e6i | 1.49662 | − | 1.08736i | ||||
\(320\) | 100832. | + | 1.70226e6i | 0.0550455 | + | 0.929289i | ||||
\(321\) | 1.28530e6 | + | 933822.i | 0.696211 | + | 0.505827i | ||||
\(322\) | −10899.2 | + | 15001.5i | −0.00585809 | + | 0.00806297i | ||||
\(323\) | 96373.2 | + | 31313.5i | 0.0513984 | + | 0.0167004i | ||||
\(324\) | 560277. | 0.296510 | ||||||||
\(325\) | 1.39243e6 | − | 2.48939e6i | 0.731247 | − | 1.30733i | ||||
\(326\) | 198182. | 0.103281 | ||||||||
\(327\) | −817732. | − | 265697.i | −0.422904 | − | 0.137410i | ||||
\(328\) | −68502.8 | + | 94286.0i | −0.0351580 | + | 0.0483908i | ||||
\(329\) | −225903. | − | 164128.i | −0.115062 | − | 0.0835976i | ||||
\(330\) | −272062. | − | 331333.i | −0.137525 | − | 0.167486i | ||||
\(331\) | −1.37144e6 | + | 996410.i | −0.688030 | + | 0.499883i | −0.876012 | − | 0.482290i | \(-0.839805\pi\) |
0.187982 | + | 0.982172i | \(0.439805\pi\) | |||||||
\(332\) | − | 174325.i | − | 0.0867988i | ||||||
\(333\) | −1.49188e6 | − | 2.05339e6i | −0.737264 | − | 1.01476i | ||||
\(334\) | 80860.5 | + | 248863.i | 0.0396616 | + | 0.122066i | ||||
\(335\) | −718199. | − | 459486.i | −0.349650 | − | 0.223697i | ||||
\(336\) | −80702.5 | + | 248377.i | −0.0389977 | + | 0.120023i | ||||
\(337\) | −1.95988e6 | + | 636803.i | −0.940058 | + | 0.305443i | −0.738669 | − | 0.674068i | \(-0.764545\pi\) |
−0.201389 | + | 0.979511i | \(0.564545\pi\) | |||||||
\(338\) | −267903. | + | 87047.0i | −0.127552 | + | 0.0414440i | ||||
\(339\) | −838989. | + | 2.58214e6i | −0.396513 | + | 1.22034i | ||||
\(340\) | 122069. | + | 311646.i | 0.0572676 | + | 0.146206i | ||||
\(341\) | 843577. | + | 2.59626e6i | 0.392861 | + | 1.20910i | ||||
\(342\) | 81376.9 | + | 112006.i | 0.0376215 | + | 0.0517815i | ||||
\(343\) | 342811.i | 0.157333i | ||||||||
\(344\) | 434262. | − | 315510.i | 0.197859 | − | 0.143753i | ||||
\(345\) | 2.31216e6 | − | 3.61402e6i | 1.04585 | − | 1.63472i | ||||
\(346\) | 30211.5 | + | 21949.9i | 0.0135669 | + | 0.00985695i | ||||
\(347\) | 4487.38 | − | 6176.34i | 0.00200064 | − | 0.00275364i | −0.808016 | − | 0.589161i | \(-0.799458\pi\) |
0.810016 | + | 0.586408i | \(0.199458\pi\) | |||||||
\(348\) | −5.36540e6 | − | 1.74333e6i | −2.37495 | − | 0.771668i | ||||
\(349\) | 3.48086e6 | 1.52976 | 0.764879 | − | 0.644174i | \(-0.222799\pi\) | ||||
0.764879 | + | 0.644174i | \(0.222799\pi\) | |||||||
\(350\) | −8173.02 | − | 17704.4i | −0.00356625 | − | 0.00772523i | ||||
\(351\) | −4.26760e6 | −1.84891 | ||||||||
\(352\) | −854153. | − | 277531.i | −0.367434 | − | 0.119386i | ||||
\(353\) | 24975.3 | − | 34375.6i | 0.0106678 | − | 0.0146829i | −0.803650 | − | 0.595103i | \(-0.797111\pi\) |
0.814318 | + | 0.580420i | \(0.197111\pi\) | |||||||
\(354\) | 231293. | + | 168044.i | 0.0980967 | + | 0.0712714i | ||||
\(355\) | 301315. | + | 78543.5i | 0.126897 | + | 0.0330780i | ||||
\(356\) | 1.30277e6 | − | 946517.i | 0.544806 | − | 0.395825i | ||||
\(357\) | 50017.5i | 0.0207707i | ||||||||
\(358\) | 116327. | + | 160110.i | 0.0479702 | + | 0.0660253i | ||||
\(359\) | 99161.8 | + | 305188.i | 0.0406077 | + | 0.124978i | 0.969305 | − | 0.245860i | \(-0.0790705\pi\) |
−0.928698 | + | 0.370838i | \(0.879071\pi\) | |||||||
\(360\) | −232049. | + | 890205.i | −0.0943675 | + | 0.362021i | ||||
\(361\) | −676612. | + | 2.08240e6i | −0.273257 | + | 0.840999i | ||||
\(362\) | −141825. | + | 46081.7i | −0.0568828 | + | 0.0184823i | ||||
\(363\) | −1.86569e6 | + | 606198.i | −0.743143 | + | 0.241462i | ||||
\(364\) | 91263.2 | − | 280879.i | 0.0361029 | − | 0.111113i | ||||
\(365\) | 1.54905e6 | − | 91756.6i | 0.608603 | − | 0.0360500i | ||||
\(366\) | 179787. | + | 553328.i | 0.0701545 | + | 0.215913i | ||||
\(367\) | −1.64755e6 | − | 2.26766e6i | −0.638519 | − | 0.878846i | 0.360017 | − | 0.932946i | \(-0.382771\pi\) |
−0.998536 | + | 0.0540999i | \(0.982771\pi\) | |||||||
\(368\) | − | 2.93723e6i | − | 1.13063i | ||||||
\(369\) | 1.03016e6 | − | 748456.i | 0.393858 | − | 0.286155i | ||||
\(370\) | 190038. | − | 74436.2i | 0.0721664 | − | 0.0282670i | ||||
\(371\) | −144356. | − | 104881.i | −0.0544502 | − | 0.0395604i | ||||
\(372\) | 2.69231e6 | − | 3.70565e6i | 1.00871 | − | 1.38838i | ||||
\(373\) | 1.78747e6 | + | 580784.i | 0.665221 | + | 0.216144i | 0.622114 | − | 0.782927i | \(-0.286274\pi\) |
0.0431077 | + | 0.999070i | \(0.486274\pi\) | |||||||
\(374\) | −56212.4 | −0.0207804 | ||||||||
\(375\) | 2.12994e6 | + | 3.97738e6i | 0.782150 | + | 1.46056i | ||||
\(376\) | −1.05930e6 | −0.386409 | ||||||||
\(377\) | 5.99531e6 | + | 1.94799e6i | 2.17249 | + | 0.705885i | ||||
\(378\) | −17148.7 | + | 23603.1i | −0.00617306 | + | 0.00849649i | ||||
\(379\) | 346402. | + | 251676.i | 0.123875 | + | 0.0900002i | 0.647997 | − | 0.761642i | \(-0.275607\pi\) |
−0.524123 | + | 0.851643i | \(0.675607\pi\) | |||||||
\(380\) | 881236. | − | 345173.i | 0.313064 | − | 0.122625i | ||||
\(381\) | −1.17043e6 | + | 850367.i | −0.413079 | + | 0.300119i | ||||
\(382\) | − | 111339.i | − | 0.0390382i | ||||||
\(383\) | 30192.5 | + | 41556.4i | 0.0105172 | + | 0.0144757i | 0.814243 | − | 0.580524i | \(-0.197152\pi\) |
−0.803726 | + | 0.595000i | \(0.797152\pi\) | |||||||
\(384\) | 619640. | + | 1.90705e6i | 0.214443 | + | 0.659987i | ||||
\(385\) | −277929. | + | 16462.8i | −0.0955611 | + | 0.00566047i | ||||
\(386\) | 117878. | − | 362790.i | 0.0402683 | − | 0.123933i | ||||
\(387\) | −5.57774e6 | + | 1.81232e6i | −1.89313 | + | 0.615116i | ||||
\(388\) | 1.27315e6 | − | 413673.i | 0.429340 | − | 0.139501i | ||||
\(389\) | −108392. | + | 333596.i | −0.0363181 | + | 0.111776i | −0.967572 | − | 0.252595i | \(-0.918716\pi\) |
0.931254 | + | 0.364371i | \(0.118716\pi\) | |||||||
\(390\) | 202749. | − | 777803.i | 0.0674990 | − | 0.258945i | ||||
\(391\) | −173835. | − | 535009.i | −0.0575036 | − | 0.176978i | ||||
\(392\) | 381011. | + | 524416.i | 0.125234 | + | 0.172370i | ||||
\(393\) | 322844.i | 0.105441i | ||||||||
\(394\) | 45337.2 | − | 32939.4i | 0.0147135 | − | 0.0106899i | ||||
\(395\) | −5.32876e6 | − | 1.38904e6i | −1.71844 | − | 0.447943i | ||||
\(396\) | 5.28212e6 | + | 3.83768e6i | 1.69266 | + | 1.22979i | ||||
\(397\) | −1.45664e6 | + | 2.00489e6i | −0.463847 | + | 0.638431i | −0.975301 | − | 0.220880i | \(-0.929107\pi\) |
0.511454 | + | 0.859311i | \(0.329107\pi\) | |||||||
\(398\) | 20951.2 | + | 6807.45i | 0.00662980 | + | 0.00215415i | ||||
\(399\) | 141434. | 0.0444754 | ||||||||
\(400\) | 2.69577e6 | + | 1.50786e6i | 0.842428 | + | 0.471207i | ||||
\(401\) | 1.60933e6 | 0.499785 | 0.249892 | − | 0.968274i | \(-0.419605\pi\) | ||||
0.249892 | + | 0.968274i | \(0.419605\pi\) | |||||||
\(402\) | −228505. | − | 74245.9i | −0.0705231 | − | 0.0229143i | ||||
\(403\) | −3.00839e6 | + | 4.14069e6i | −0.922724 | + | 1.27002i | ||||
\(404\) | −4.06266e6 | − | 2.95170e6i | −1.23839 | − | 0.899743i | ||||
\(405\) | 533679. | − | 834166.i | 0.161675 | − | 0.252706i | ||||
\(406\) | 34865.1 | − | 25331.0i | 0.0104973 | − | 0.00762670i | ||||
\(407\) | − | 2.91404e6i | − | 0.871987i | ||||||
\(408\) | 111530. | + | 153508.i | 0.0331697 | + | 0.0456542i | ||||
\(409\) | 1.70184e6 | + | 5.23773e6i | 0.503050 | + | 1.54823i | 0.804024 | + | 0.594597i | \(0.202688\pi\) |
−0.300974 | + | 0.953632i | \(0.597312\pi\) | |||||||
\(410\) | 37343.7 | + | 95339.4i | 0.0109713 | + | 0.0280100i | ||||
\(411\) | 731114. | − | 2.25014e6i | 0.213492 | − | 0.657060i | ||||
\(412\) | −4.08186e6 | + | 1.32628e6i | −1.18472 | + | 0.384939i | ||||
\(413\) | 176577. | − | 57373.3i | 0.0509399 | − | 0.0165514i | ||||
\(414\) | 237503. | − | 730960.i | 0.0681034 | − | 0.209601i | ||||
\(415\) | −259543. | − | 166049.i | −0.0739757 | − | 0.0473278i | ||||
\(416\) | −520337. | − | 1.60143e6i | −0.147418 | − | 0.453707i | ||||
\(417\) | 4.09381e6 | + | 5.63465e6i | 1.15289 | + | 1.58682i | ||||
\(418\) | 158951.i | 0.0444962i | ||||||||
\(419\) | 3.41741e6 | − | 2.48290e6i | 0.950960 | − | 0.690913i | −7.35452e−5 | − | 1.00000i | \(-0.500023\pi\) |
0.951034 | + | 0.309087i | \(0.100023\pi\) | |||||||
\(420\) | 296452. | + | 361036.i | 0.0820033 | + | 0.0998683i | ||||
\(421\) | −4.86824e6 | − | 3.53699e6i | −1.33865 | − | 0.972586i | −0.999492 | − | 0.0318568i | \(-0.989858\pi\) |
−0.339158 | − | 0.940730i | \(-0.610142\pi\) | |||||||
\(422\) | −192064. | + | 264353.i | −0.0525007 | + | 0.0722610i | ||||
\(423\) | 1.10073e7 | + | 3.57650e6i | 2.99110 | + | 0.971867i | ||||
\(424\) | −676906. | −0.182858 | ||||||||
\(425\) | 580268. | + | 115109.i | 0.155832 | + | 0.0309126i | ||||
\(426\) | 87748.1 | 0.0234268 | ||||||||
\(427\) | 359339. | + | 116756.i | 0.0953751 | + | 0.0309892i | ||||
\(428\) | 1.14357e6 | − | 1.57399e6i | 0.301754 | − | 0.415328i | ||||
\(429\) | −9.28463e6 | − | 6.74568e6i | −2.43569 | − | 1.76963i | ||||
\(430\) | −27885.7 | − | 470772.i | −0.00727295 | − | 0.122783i | ||||
\(431\) | 4.40903e6 | − | 3.20335e6i | 1.14327 | − | 0.830636i | 0.155701 | − | 0.987804i | \(-0.450237\pi\) |
0.987572 | + | 0.157168i | \(0.0502365\pi\) | |||||||
\(432\) | − | 4.62139e6i | − | 1.19142i | ||||||
\(433\) | −674101. | − | 927820.i | −0.172785 | − | 0.237818i | 0.713838 | − | 0.700310i | \(-0.246955\pi\) |
−0.886623 | + | 0.462493i | \(0.846955\pi\) | |||||||
\(434\) | 10812.5 | + | 33277.4i | 0.00275551 | + | 0.00848058i | ||||
\(435\) | −7.70624e6 | + | 6.32770e6i | −1.95263 | + | 1.60333i | ||||
\(436\) | −325375. | + | 1.00140e6i | −0.0819726 | + | 0.252286i | ||||
\(437\) | −1.51284e6 | + | 491550.i | −0.378956 | + | 0.123130i | ||||
\(438\) | 415886. | − | 135130.i | 0.103583 | − | 0.0336562i | ||||
\(439\) | 886129. | − | 2.72722e6i | 0.219450 | − | 0.675398i | −0.779358 | − | 0.626579i | \(-0.784454\pi\) |
0.998808 | − | 0.0488184i | \(-0.0155456\pi\) | |||||||
\(440\) | −816279. | + | 670258.i | −0.201005 | + | 0.165048i | ||||
\(441\) | −2.18856e6 | − | 6.73570e6i | −0.535873 | − | 1.64925i | ||||
\(442\) | −61947.6 | − | 85263.6i | −0.0150823 | − | 0.0207591i | ||||
\(443\) | − | 4.85790e6i | − | 1.17609i | −0.808829 | − | 0.588043i | \(-0.799898\pi\) | ||
0.808829 | − | 0.588043i | \(-0.200102\pi\) | |||||||
\(444\) | −3.95565e6 | + | 2.87395e6i | −0.952271 | + | 0.691865i | ||||
\(445\) | −168296. | − | 2.84121e6i | −0.0402878 | − | 0.680147i | ||||
\(446\) | −293127. | − | 212969.i | −0.0697780 | − | 0.0506967i | ||||
\(447\) | 3.98811e6 | − | 5.48917e6i | 0.944058 | − | 1.29938i | ||||
\(448\) | 296795. | + | 96434.4i | 0.0698652 | + | 0.0227006i | ||||
\(449\) | −547286. | −0.128115 | −0.0640573 | − | 0.997946i | \(-0.520404\pi\) | ||||
−0.0640573 | + | 0.997946i | \(0.520404\pi\) | |||||||
\(450\) | 548945. | + | 593226.i | 0.127790 | + | 0.138098i | ||||
\(451\) | 1.46194e6 | 0.338445 | ||||||||
\(452\) | 3.16212e6 | + | 1.02743e6i | 0.728001 | + | 0.236542i | ||||
\(453\) | −1.55300e6 | + | 2.13752e6i | −0.355571 | + | 0.489401i | ||||
\(454\) | −144095. | − | 104691.i | −0.0328103 | − | 0.0238381i | ||||
\(455\) | −331256. | − | 403422.i | −0.0750127 | − | 0.0913548i | ||||
\(456\) | 434073. | − | 315372.i | 0.0977575 | − | 0.0710250i | ||||
\(457\) | 5.65806e6i | 1.26729i | 0.773622 | + | 0.633647i | \(0.218443\pi\) | ||||
−0.773622 | + | 0.633647i | \(0.781557\pi\) | |||||||
\(458\) | −163883. | − | 225566.i | −0.0365066 | − | 0.0502470i | ||||
\(459\) | −273509. | − | 841774.i | −0.0605954 | − | 0.186494i | ||||
\(460\) | −4.42576e6 | − | 2.83149e6i | −0.975199 | − | 0.623908i | ||||
\(461\) | −1.33954e6 | + | 4.12269e6i | −0.293565 | + | 0.903500i | 0.690135 | + | 0.723681i | \(0.257551\pi\) |
−0.983700 | + | 0.179819i | \(0.942449\pi\) | |||||||
\(462\) | −74617.6 | + | 24244.7i | −0.0162643 | + | 0.00528460i | ||||
\(463\) | −124221. | + | 40361.8i | −0.0269303 | + | 0.00875020i | −0.322451 | − | 0.946586i | \(-0.604507\pi\) |
0.295521 | + | 0.955336i | \(0.404507\pi\) | |||||||
\(464\) | −2.10949e6 | + | 6.49233e6i | −0.454864 | + | 1.39993i | ||||
\(465\) | −2.95265e6 | − | 7.53818e6i | −0.633255 | − | 1.61672i | ||||
\(466\) | 69060.3 | + | 212546.i | 0.0147321 | + | 0.0453407i | ||||
\(467\) | −722711. | − | 994727.i | −0.153346 | − | 0.211063i | 0.725431 | − | 0.688294i | \(-0.241640\pi\) |
−0.878778 | + | 0.477232i | \(0.841640\pi\) | |||||||
\(468\) | 1.22412e7i | 2.58350i | ||||||||
\(469\) | −126232. | + | 91713.0i | −0.0264995 | + | 0.0192530i | ||||
\(470\) | −501554. | + | 783954.i | −0.104731 | + | 0.163699i | ||||
\(471\) | 7.14595e6 | + | 5.19184e6i | 1.48425 | + | 1.07837i | ||||
\(472\) | 413998. | − | 569819.i | 0.0855349 | − | 0.117729i | ||||
\(473\) | −6.40382e6 | − | 2.08073e6i | −1.31609 | − | 0.427625i | ||||
\(474\) | −1.55182e6 | −0.317246 | ||||||||
\(475\) | 325491. | − | 1.64081e6i | 0.0661919 | − | 0.333676i | ||||
\(476\) | 61251.9 | 0.0123909 | ||||||||
\(477\) | 7.03385e6 | + | 2.28544e6i | 1.41546 | + | 0.459910i | ||||
\(478\) | 4165.34 | − | 5733.09i | 0.000833836 | − | 0.00114768i | ||||
\(479\) | 7.92954e6 | + | 5.76115e6i | 1.57910 | + | 1.14728i | 0.917718 | + | 0.397234i | \(0.130030\pi\) |
0.661382 | + | 0.750049i | \(0.269970\pi\) | |||||||
\(480\) | 2.57734e6 | + | 671833.i | 0.510587 | + | 0.133094i | ||||
\(481\) | 4.42005e6 | − | 3.21135e6i | 0.871092 | − | 0.632886i | ||||
\(482\) | − | 388158.i | − | 0.0761011i | ||||||
\(483\) | −461505. | − | 635207.i | −0.0900136 | − | 0.123893i | ||||
\(484\) | 742357. | + | 2.28474e6i | 0.144045 | + | 0.443326i | ||||
\(485\) | 596819. | − | 2.28957e6i | 0.115209 | − | 0.441976i | ||||
\(486\) | −127912. | + | 393674.i | −0.0245653 | + | 0.0756042i | ||||
\(487\) | 122118. | − | 39678.5i | 0.0233323 | − | 0.00758112i | −0.297328 | − | 0.954776i | \(-0.596095\pi\) |
0.320660 | + | 0.947194i | \(0.396095\pi\) | |||||||
\(488\) | 1.36319e6 | − | 442928.i | 0.259124 | − | 0.0841944i | ||||
\(489\) | −2.59314e6 | + | 7.98087e6i | −0.490404 | + | 1.50931i | ||||
\(490\) | 568506. | − | 33674.9i | 0.106966 | − | 0.00633601i | ||||
\(491\) | −3.02348e6 | − | 9.30531e6i | −0.565983 | − | 1.74192i | −0.665014 | − | 0.746831i | \(-0.731574\pi\) |
0.0990312 | − | 0.995084i | \(-0.468426\pi\) | |||||||
\(492\) | −1.44182e6 | − | 1.98450e6i | −0.268534 | − | 0.369605i | ||||
\(493\) | 1.30741e6i | 0.242267i | ||||||||
\(494\) | −241098. | + | 175168.i | −0.0444505 | + | 0.0322952i | ||||
\(495\) | 1.07451e7 | − | 4.20877e6i | 1.97105 | − | 0.772044i | ||||
\(496\) | −4.48397e6 | − | 3.25779e6i | −0.818386 | − | 0.594592i | ||||
\(497\) | 33494.9 | − | 46101.8i | 0.00608258 | − | 0.00837195i | ||||
\(498\) | −82577.3 | − | 26831.0i | −0.0149206 | − | 0.00484801i | ||||
\(499\) | 5.82128e6 | 1.04657 | 0.523284 | − | 0.852158i | \(-0.324707\pi\) | ||||
0.523284 | + | 0.852158i | \(0.324707\pi\) | |||||||
\(500\) | 4.87074e6 | − | 2.60835e6i | 0.871304 | − | 0.466596i | ||||
\(501\) | −1.10799e7 | −1.97215 | ||||||||
\(502\) | 662261. | + | 215182.i | 0.117292 | + | 0.0381106i | ||||
\(503\) | −3.29001e6 | + | 4.52831e6i | −0.579799 | + | 0.798024i | −0.993673 | − | 0.112309i | \(-0.964175\pi\) |
0.413875 | + | 0.910334i | \(0.364175\pi\) | |||||||
\(504\) | 136203. | + | 98957.2i | 0.0238842 | + | 0.0173529i | ||||
\(505\) | −8.26443e6 | + | 3.23711e6i | −1.44206 | + | 0.564845i | ||||
\(506\) | 713881. | − | 518665.i | 0.123951 | − | 0.0900556i | ||||
\(507\) | − | 1.19276e7i | − | 2.06078i | ||||||
\(508\) | 1.04137e6 | + | 1.43332e6i | 0.179038 | + | 0.246425i | ||||
\(509\) | −994701. | − | 3.06138e6i | −0.170176 | − | 0.523748i | 0.829204 | − | 0.558945i | \(-0.188794\pi\) |
−0.999380 | + | 0.0351978i | \(0.988794\pi\) | |||||||
\(510\) | 166414. | − | 9857.38i | 0.0283312 | − | 0.00167817i | ||||
\(511\) | 87755.1 | − | 270082.i | 0.0148669 | − | 0.0457556i | ||||
\(512\) | 2.90165e6 | − | 942803.i | 0.489182 | − | 0.158945i | ||||
\(513\) | −2.38027e6 | + | 773397.i | −0.399331 | + | 0.129751i | ||||
\(514\) | −202837. | + | 624267.i | −0.0338640 | + | 0.104223i | ||||
\(515\) | −1.91346e6 | + | 7.34059e6i | −0.317908 | + | 1.21959i | ||||
\(516\) | 3.49124e6 | + | 1.07449e7i | 0.577239 | + | 1.77656i | ||||
\(517\) | 7.81043e6 | + | 1.07501e7i | 1.28514 | + | 1.76884i | ||||
\(518\) | − | 37350.6i | − | 0.00611608i | ||||||
\(519\) | −1.27924e6 | + | 929423.i | −0.208465 | + | 0.151459i | ||||
\(520\) | −1.91622e6 | − | 499498.i | −0.310768 | − | 0.0810075i | ||||
\(521\) | 6.38085e6 | + | 4.63596e6i | 1.02987 | + | 0.748248i | 0.968284 | − | 0.249854i | \(-0.0803826\pi\) |
0.0615910 | + | 0.998101i | \(0.480383\pi\) | |||||||
\(522\) | −1.04993e6 | + | 1.44511e6i | −0.168650 | + | 0.232127i | ||||
\(523\) | −4.83632e6 | − | 1.57141e6i | −0.773144 | − | 0.251210i | −0.104234 | − | 0.994553i | \(-0.533239\pi\) |
−0.668910 | + | 0.743343i | \(0.733239\pi\) | |||||||
\(524\) | 395358. | 0.0629017 | ||||||||
\(525\) | 819907. | − | 97474.8i | 0.129827 | − | 0.0154346i | ||||
\(526\) | 387171. | 0.0610152 | ||||||||
\(527\) | −1.00955e6 | − | 328023.i | −0.158344 | − | 0.0514490i | ||||
\(528\) | 7.30491e6 | − | 1.00543e7i | 1.14033 | − | 1.56953i | ||||
\(529\) | 1.93700e6 | + | 1.40732e6i | 0.300948 | + | 0.218651i | ||||
\(530\) | −320501. | + | 500959.i | −0.0495609 | + | 0.0774662i | ||||
\(531\) | −6.22580e6 | + | 4.52331e6i | −0.958206 | + | 0.696177i | ||||
\(532\) | − | 173201.i | − | 0.0265321i | ||||||
\(533\) | 1.61109e6 | + | 2.21748e6i | 0.245642 | + | 0.338097i | ||||
\(534\) | −247849. | − | 762801.i | −0.0376126 | − | 0.115760i | ||||
\(535\) | −1.25415e6 | − | 3.20186e6i | −0.189436 | − | 0.483636i | ||||
\(536\) | −182914. | + | 562951.i | −0.0275001 | + | 0.0846367i | ||||
\(537\) | −7.96979e6 | + | 2.58954e6i | −1.19264 | + | 0.387514i | ||||
\(538\) | 1.05144e6 | − | 341633.i | 0.156613 | − | 0.0508867i | ||||
\(539\) | 2.51270e6 | − | 7.73328e6i | 0.372536 | − | 1.14655i | ||||
\(540\) | −6.96342e6 | − | 4.45502e6i | −1.02763 | − | 0.657454i | ||||
\(541\) | −259049. | − | 797270.i | −0.0380530 | − | 0.117115i | 0.930226 | − | 0.366988i | \(-0.119611\pi\) |
−0.968279 | + | 0.249873i | \(0.919611\pi\) | |||||||
\(542\) | 616134. | + | 848036.i | 0.0900901 | + | 0.123998i | ||||
\(543\) | − | 6.31432e6i | − | 0.919025i | ||||||
\(544\) | 282531. | − | 205271.i | 0.0409326 | − | 0.0297392i | ||||
\(545\) | 1.18101e6 | + | 1.43830e6i | 0.170318 | + | 0.207423i | ||||
\(546\) | −119005. | − | 86462.4i | −0.0170838 | − | 0.0124121i | ||||
\(547\) | 28284.1 | − | 38929.8i | 0.00404180 | − | 0.00556306i | −0.806991 | − | 0.590563i | \(-0.798906\pi\) |
0.811033 | + | 0.585000i | \(0.198906\pi\) | |||||||
\(548\) | −2.75554e6 | − | 895330.i | −0.391973 | − | 0.127360i | ||||
\(549\) | −1.56606e7 | −2.21757 | ||||||||
\(550\) | 109548. | + | 921458.i | 0.0154418 | + | 0.129888i | ||||
\(551\) | 3.69694e6 | 0.518756 | ||||||||
\(552\) | −2.83280e6 | − | 920433.i | −0.395702 | − | 0.128571i | ||||
\(553\) | −592357. | + | 815309.i | −0.0823703 | + | 0.113373i | ||||
\(554\) | 914977. | + | 664769.i | 0.126659 | + | 0.0920230i | ||||
\(555\) | 511005. | + | 8.62688e6i | 0.0704194 | + | 1.18883i | ||||
\(556\) | 6.90025e6 | − | 5.01332e6i | 0.946624 | − | 0.687763i | ||||
\(557\) | − | 7.77800e6i | − | 1.06226i | −0.847291 | − | 0.531129i | \(-0.821768\pi\) | ||
0.847291 | − | 0.531129i | \(-0.178232\pi\) | |||||||
\(558\) | −852457. | − | 1.17331e6i | −0.115901 | − | 0.159524i | ||||
\(559\) | −3.90112e6 | − | 1.20064e7i | −0.528031 | − | 1.62511i | ||||
\(560\) | 436867. | − | 358718.i | 0.0588680 | − | 0.0483373i | ||||
\(561\) | 735522. | − | 2.26370e6i | 0.0986707 | − | 0.303677i | ||||
\(562\) | −566385. | + | 184030.i | −0.0756434 | + | 0.0245780i | ||||
\(563\) | 1.14167e7 | − | 3.70950e6i | 1.51799 | − | 0.493224i | 0.572784 | − | 0.819707i | \(-0.305863\pi\) |
0.945203 | + | 0.326483i | \(0.105863\pi\) | |||||||
\(564\) | 6.88975e6 | − | 2.12045e7i | 0.912023 | − | 2.80692i | ||||
\(565\) | 4.54170e6 | − | 3.72925e6i | 0.598545 | − | 0.491474i | ||||
\(566\) | −378506. | − | 1.16492e6i | −0.0496628 | − | 0.152847i | ||||
\(567\) | −106522. | − | 146615.i | −0.0139149 | − | 0.0191523i | ||||
\(568\) | − | 216178.i | − | 0.0281152i | ||||||
\(569\) | −2.55438e6 | + | 1.85586e6i | −0.330753 | + | 0.240306i | −0.740750 | − | 0.671781i | \(-0.765530\pi\) |
0.409997 | + | 0.912087i | \(0.365530\pi\) | |||||||
\(570\) | −27873.6 | − | 470567.i | −0.00359340 | − | 0.0606644i | ||||
\(571\) | −907011. | − | 658982.i | −0.116419 | − | 0.0845830i | 0.528053 | − | 0.849212i | \(-0.322922\pi\) |
−0.644471 | + | 0.764629i | \(0.722922\pi\) | |||||||
\(572\) | −8.26083e6 | + | 1.13701e7i | −1.05568 | + | 1.45302i | ||||
\(573\) | 4.48369e6 | + | 1.45684e6i | 0.570491 | + | 0.185364i | ||||
\(574\) | 18738.3 | 0.00237384 | ||||||||
\(575\) | −8.43132e6 | + | 3.89221e6i | −1.06347 | + | 0.490938i | ||||
\(576\) | −1.29348e7 | −1.62444 | ||||||||
\(577\) | −1.40905e7 | − | 4.57827e6i | −1.76192 | − | 0.572481i | −0.764521 | − | 0.644599i | \(-0.777024\pi\) |
−0.997396 | + | 0.0721176i | \(0.977024\pi\) | |||||||
\(578\) | −496197. | + | 682957.i | −0.0617781 | + | 0.0850303i | ||||
\(579\) | 1.30673e7 | + | 9.49397e6i | 1.61991 | + | 1.17693i | ||||
\(580\) | 7.74897e6 | + | 9.43714e6i | 0.956476 | + | 1.16485i | ||||
\(581\) | −45617.8 | + | 33143.2i | −0.00560652 | + | 0.00407338i | ||||
\(582\) | − | 666761.i | − | 0.0815948i | ||||||
\(583\) | 4.99099e6 | + | 6.86950e6i | 0.608156 | + | 0.837055i | ||||
\(584\) | −332908. | − | 1.02459e6i | −0.0403917 | − | 0.124313i | ||||
\(585\) | 1.82253e7 | + | 1.16601e7i | 2.20183 | + | 1.40868i | ||||
\(586\) | 344339. | − | 1.05977e6i | 0.0414231 | − | 0.127487i | ||||
\(587\) | −5.98357e6 | + | 1.94418e6i | −0.716746 | + | 0.232885i | −0.644612 | − | 0.764510i | \(-0.722981\pi\) |
−0.0721343 | + | 0.997395i | \(0.522981\pi\) | |||||||
\(588\) | −1.29756e7 | + | 4.21604e6i | −1.54769 | + | 0.502876i | ||||
\(589\) | −927545. | + | 2.85469e6i | −0.110166 | + | 0.339055i | ||||
\(590\) | −225687. | − | 576185.i | −0.0266918 | − | 0.0681447i | ||||
\(591\) | 733264. | + | 2.25675e6i | 0.0863558 | + | 0.265776i | ||||
\(592\) | 3.47758e6 | + | 4.78648e6i | 0.407824 | + | 0.561322i | ||||
\(593\) | − | 9.95947e6i | − | 1.16305i | −0.813527 | − | 0.581527i | \(-0.802456\pi\) | ||
0.813527 | − | 0.581527i | \(-0.197544\pi\) | |||||||
\(594\) | 1.12321e6 | − | 816059.i | 0.130615 | − | 0.0948976i | ||||
\(595\) | 58344.1 | − | 91194.7i | 0.00675623 | − | 0.0105603i | ||||
\(596\) | −6.72209e6 | − | 4.88388e6i | −0.775155 | − | 0.563183i | ||||
\(597\) | −548278. | + | 754641.i | −0.0629601 | + | 0.0866571i | ||||
\(598\) | 1.57343e6 | + | 511239.i | 0.179927 | + | 0.0584617i | ||||
\(599\) | 2.32355e6 | 0.264597 | 0.132298 | − | 0.991210i | \(-0.457764\pi\) | ||||
0.132298 | + | 0.991210i | \(0.457764\pi\) | |||||||
\(600\) | 2.29902e6 | − | 2.12741e6i | 0.260714 | − | 0.241253i | ||||
\(601\) | 1.73058e7 | 1.95436 | 0.977181 | − | 0.212409i | \(-0.0681310\pi\) | ||||
0.977181 | + | 0.212409i | \(0.0681310\pi\) | |||||||
\(602\) | −82080.7 | − | 26669.6i | −0.00923102 | − | 0.00299934i | ||||
\(603\) | 3.80138e6 | − | 5.23215e6i | 0.425743 | − | 0.585986i | ||||
\(604\) | 2.61763e6 | + | 1.90182e6i | 0.291955 | + | 0.212118i | ||||
\(605\) | 4.10874e6 | + | 1.07102e6i | 0.456374 | + | 0.118962i | ||||
\(606\) | −2.02351e6 | + | 1.47017e6i | −0.223833 | + | 0.162624i | ||||
\(607\) | − | 7.85985e6i | − | 0.865850i | −0.901430 | − | 0.432925i | \(-0.857482\pi\) | ||
0.901430 | − | 0.432925i | \(-0.142518\pi\) | |||||||
\(608\) | −580441. | − | 798909.i | −0.0636794 | − | 0.0876472i | ||||
\(609\) | 563892. | + | 1.73548e6i | 0.0616102 | + | 0.189617i | ||||
\(610\) | 317645. | − | 1.21858e6i | 0.0345634 | − | 0.132595i | ||||
\(611\) | −7.69861e6 | + | 2.36939e7i | −0.834275 | + | 2.56763i | ||||
\(612\) | −2.41455e6 | + | 784535.i | −0.260590 | + | 0.0846708i | ||||
\(613\) | −1.17373e7 | + | 3.81368e6i | −1.26159 | + | 0.409914i | −0.862059 | − | 0.506808i | \(-0.830825\pi\) |
−0.399526 | + | 0.916722i | \(0.630825\pi\) | |||||||
\(614\) | 137376. | − | 422800.i | 0.0147059 | − | 0.0452600i | ||||
\(615\) | −4.32799e6 | + | 256365.i | −0.461423 | + | 0.0273319i | ||||
\(616\) | 59729.9 | + | 183830.i | 0.00634220 | + | 0.0195193i | ||||
\(617\) | 802084. | + | 1.10397e6i | 0.0848216 | + | 0.116747i | 0.849319 | − | 0.527880i | \(-0.177013\pi\) |
−0.764497 | + | 0.644627i | \(0.777013\pi\) | |||||||
\(618\) | 2.13770e6i | 0.225152i | ||||||||
\(619\) | −9.65516e6 | + | 7.01488e6i | −1.01282 | + | 0.735858i | −0.964799 | − | 0.262988i | \(-0.915292\pi\) |
−0.0480224 | + | 0.998846i | \(0.515292\pi\) | |||||||
\(620\) | −9.23132e6 | + | 3.61584e6i | −0.964461 | + | 0.377772i | ||||
\(621\) | 1.12404e7 | + | 8.16665e6i | 1.16964 | + | 0.849796i | ||||
\(622\) | 932437. | − | 1.28339e6i | 0.0966370 | − | 0.133009i | ||||
\(623\) | −495374. | − | 160957.i | −0.0511344 | − | 0.0166146i | ||||
\(624\) | 2.33007e7 | 2.39557 | ||||||||
\(625\) | 756075. | − | 9.73631e6i | 0.0774221 | − | 0.996998i | ||||
\(626\) | −1.06626e6 | −0.108749 | ||||||||
\(627\) | −6.40104e6 | − | 2.07982e6i | −0.650252 | − | 0.211280i | ||||
\(628\) | 6.35797e6 | − | 8.75100e6i | 0.643309 | − | 0.885439i | ||||
\(629\) | 916712. | + | 666030.i | 0.0923860 | + | 0.0671224i | ||||
\(630\) | 137725. | − | 53945.6i | 0.0138248 | − | 0.00541508i | ||||
\(631\) | −6.38974e6 | + | 4.64242e6i | −0.638866 | + | 0.464163i | −0.859460 | − | 0.511202i | \(-0.829200\pi\) |
0.220595 | + | 0.975366i | \(0.429200\pi\) | |||||||
\(632\) | 3.82311e6i | 0.380736i | ||||||||
\(633\) | −8.13254e6 | − | 1.11935e7i | −0.806709 | − | 1.11034i | ||||
\(634\) | 316740. | + | 974825.i | 0.0312953 | + | 0.0963171i | ||||
\(635\) | 3.12593e6 | − | 185161.i | 0.307641 | − | 0.0182228i | ||||
\(636\) | 4.40265e6 | − | 1.35500e7i | 0.431590 | − | 1.32830i | ||||
\(637\) | 1.44990e7 | − | 4.71100e6i | 1.41576 | − | 0.460007i | ||||
\(638\) | −1.95043e6 | + | 633734.i | −0.189705 | + | 0.0616389i | ||||
\(639\) | −729882. | + | 2.24635e6i | −0.0707132 | + | 0.217633i | ||||
\(640\) | 1.09477e6 | − | 4.19984e6i | 0.105651 | − | 0.405306i | ||||
\(641\) | −821787. | − | 2.52920e6i | −0.0789976 | − | 0.243130i | 0.903756 | − | 0.428047i | \(-0.140798\pi\) |
−0.982754 | + | 0.184917i | \(0.940798\pi\) | |||||||
\(642\) | −569583. | − | 783964.i | −0.0545406 | − | 0.0750686i | ||||
\(643\) | − | 7.75171e6i | − | 0.739384i | −0.929154 | − | 0.369692i | \(-0.879463\pi\) | ||
0.929154 | − | 0.369692i | \(-0.120537\pi\) | |||||||
\(644\) | −777880. | + | 565163.i | −0.0739091 | + | 0.0536981i | ||||
\(645\) | 1.93231e7 | + | 5.03692e6i | 1.82885 | + | 0.476723i | ||||
\(646\) | −50003.5 | − | 36329.7i | −0.00471432 | − | 0.00342515i | ||||
\(647\) | 935013. | − | 1.28694e6i | 0.0878126 | − | 0.120864i | −0.762850 | − | 0.646575i | \(-0.776201\pi\) |
0.850663 | + | 0.525711i | \(0.176201\pi\) | |||||||
\(648\) | −653851. | − | 212449.i | −0.0611704 | − | 0.0198755i | ||||
\(649\) | −8.83525e6 | −0.823392 | ||||||||
\(650\) | −1.27695e6 | + | 1.18163e6i | −0.118547 | + | 0.109698i | ||||
\(651\) | −1.48158e6 | −0.137016 | ||||||||
\(652\) | 9.77345e6 | + | 3.17559e6i | 0.900386 | + | 0.292553i | ||||
\(653\) | −1.10113e7 | + | 1.51558e7i | −1.01055 | + | 1.39090i | −0.0919206 | + | 0.995766i | \(0.529301\pi\) |
−0.918625 | + | 0.395130i | \(0.870699\pi\) | |||||||
\(654\) | 424283. | + | 308259.i | 0.0387892 | + | 0.0281820i | ||||
\(655\) | 376589. | − | 588628.i | 0.0342977 | − | 0.0536090i | ||||
\(656\) | −2.40132e6 | + | 1.74466e6i | −0.217866 | + | 0.158289i | ||||
\(657\) | 1.17707e7i | 1.06387i | ||||||||
\(658\) | 100110. | + | 137789.i | 0.00901388 | + | 0.0124065i | ||||
\(659\) | 301055. | + | 926553.i | 0.0270043 | + | 0.0831106i | 0.963650 | − | 0.267167i | \(-0.0860874\pi\) |
−0.936646 | + | 0.350277i | \(0.886087\pi\) | |||||||
\(660\) | −8.10775e6 | − | 2.06993e7i | −0.724504 | − | 1.84968i | ||||
\(661\) | −3.72239e6 | + | 1.14563e7i | −0.331374 | + | 1.01986i | 0.637107 | + | 0.770775i | \(0.280131\pi\) |
−0.968481 | + | 0.249088i | \(0.919869\pi\) | |||||||
\(662\) | 983374. | − | 319518.i | 0.0872115 | − | 0.0283367i | ||||
\(663\) | 4.24417e6 | − | 1.37901e6i | 0.374981 | − | 0.121839i | ||||
\(664\) | −66101.5 | + | 203439.i | −0.00581823 | + | 0.0179067i | ||||
\(665\) | −257870. | − | 164979.i | −0.0226124 | − | 0.0144668i | ||||
\(666\) | 478399. | + | 1.47236e6i | 0.0417931 | + | 0.128626i | ||||
\(667\) | −1.20633e7 | − | 1.66037e7i | −1.04991 | − | 1.44507i | ||||
\(668\) | 1.35685e7i | 1.17650i | ||||||||
\(669\) | 1.24118e7 | − | 9.01773e6i | 1.07219 | − | 0.778990i | ||||
\(670\) | 330018. | + | 401915.i | 0.0284021 | + | 0.0345897i | ||||
\(671\) | −1.45461e7 | − | 1.05684e7i | −1.24721 | − | 0.906154i | ||||
\(672\) | 286503. | − | 394338.i | 0.0244741 | − | 0.0336857i | ||||
\(673\) | −1.26584e7 | − | 4.11296e6i | −1.07731 | − | 0.350039i | −0.283980 | − | 0.958830i | \(-0.591655\pi\) |
−0.793331 | + | 0.608791i | \(0.791655\pi\) | |||||||
\(674\) | 1.25694e6 | 0.106578 | ||||||||
\(675\) | −1.32657e7 | + | 6.12394e6i | −1.12065 | + | 0.517334i | ||||
\(676\) | −1.46066e7 | −1.22937 | ||||||||
\(677\) | 1.96185e6 | + | 637444.i | 0.164511 | + | 0.0534528i | 0.390114 | − | 0.920766i | \(-0.372435\pi\) |
−0.225604 | + | 0.974219i | \(0.572435\pi\) | |||||||
\(678\) | 973387. | − | 1.33975e6i | 0.0813226 | − | 0.111931i | ||||
\(679\) | −350308. | − | 254514.i | −0.0291592 | − | 0.0211854i | ||||
\(680\) | −24284.9 | − | 409982.i | −0.00201402 | − | 0.0340011i | ||||
\(681\) | 6.10141e6 | − | 4.43294e6i | 0.504153 | − | 0.366289i | ||||
\(682\) | − | 1.66508e6i | − | 0.137080i | ||||||
\(683\) | −2.52350e6 | − | 3.47329e6i | −0.206991 | − | 0.284898i | 0.692882 | − | 0.721051i | \(-0.256341\pi\) |
−0.899873 | + | 0.436153i | \(0.856341\pi\) | |||||||
\(684\) | 2.21842e6 | + | 6.82758e6i | 0.181302 | + | 0.557990i | ||||
\(685\) | −3.95774e6 | + | 3.24976e6i | −0.322271 | + | 0.264621i | ||||
\(686\) | 64614.5 | − | 198863.i | 0.00524227 | − | 0.0161341i | ||||
\(687\) | 1.12280e7 | − | 3.64820e6i | 0.907635 | − | 0.294908i | ||||
\(688\) | 1.30018e7 | − | 4.22453e6i | 1.04720 | − | 0.340257i | ||||
\(689\) | −4.91953e6 | + | 1.51408e7i | −0.394798 | + | 1.21506i | ||||
\(690\) | −2.02246e6 | + | 1.66067e6i | −0.161717 | + | 0.132788i | ||||
\(691\) | 2.11737e6 | + | 6.51660e6i | 0.168695 | + | 0.519190i | 0.999290 | − | 0.0376877i | \(-0.0119992\pi\) |
−0.830595 | + | 0.556878i | \(0.811999\pi\) | |||||||
\(692\) | 1.13818e6 | + | 1.56657e6i | 0.0903537 | + | 0.124361i | ||||
\(693\) | − | 2.11187e6i | − | 0.167045i | ||||||
\(694\) | −3767.25 | + | 2737.07i | −0.000296911 | + | 0.000215718i | ||||
\(695\) | −891398. | − | 1.50487e7i | −0.0700019 | − | 1.18178i | ||||
\(696\) | 5.60046e6 | + | 4.06897e6i | 0.438228 | + | 0.318391i | ||||
\(697\) | −334139. | + | 459903.i | −0.0260522 | + | 0.0358578i | ||||
\(698\) | −2.01923e6 | − | 656087.i | −0.156873 | − | 0.0509710i | ||||
\(699\) | −9.46296e6 | −0.732544 | ||||||||
\(700\) | −119369. | − | 1.00407e6i | −0.00920757 | − | 0.0774492i | ||||
\(701\) | 1.07149e7 | 0.823554 | 0.411777 | − | 0.911285i | \(-0.364908\pi\) | ||||
0.411777 | + | 0.911285i | \(0.364908\pi\) | |||||||
\(702\) | 2.47561e6 | + | 804375.i | 0.189601 | + | 0.0616050i | ||||
\(703\) | 1.88332e6 | − | 2.59217e6i | 0.143726 | − | 0.197822i | ||||
\(704\) | −1.20143e7 | − | 8.72891e6i | −0.913623 | − | 0.663786i | ||||
\(705\) | −2.50075e7 | − | 3.04556e7i | −1.89495 | − | 2.30778i | ||||
\(706\) | −20967.3 | + | 15233.6i | −0.00158318 | + | 0.00115025i | ||||
\(707\) | 1.62432e6i | 0.122214i | ||||||||
\(708\) | 8.71369e6 | + | 1.19934e7i | 0.653309 | + | 0.899203i | ||||
\(709\) | −5.38490e6 | − | 1.65730e7i | −0.402311 | − | 1.23819i | −0.923120 | − | 0.384513i | \(-0.874369\pi\) |
0.520808 | − | 0.853674i | \(-0.325631\pi\) | |||||||
\(710\) | −159987. | − | 102356.i | −0.0119108 | − | 0.00762022i | ||||
\(711\) | 1.29080e7 | − | 3.97266e7i | 0.957599 | − | 2.94719i | ||||
\(712\) | −1.87925e6 | + | 610607.i | −0.138927 | + | 0.0451400i | ||||
\(713\) | 1.58476e7 | − | 5.14920e6i | 1.16745 | − | 0.379329i | ||||
\(714\) | 9427.51 | − | 29014.9i | 0.000692072 | − | 0.00212998i | ||||
\(715\) | 9.05961e6 | + | 2.31294e7i | 0.662742 | + | 1.69200i | ||||
\(716\) | 3.17118e6 | + | 9.75988e6i | 0.231174 | + | 0.711479i | ||||
\(717\) | 176372. | + | 242756.i | 0.0128125 | + | 0.0176348i | ||||
\(718\) | − | 195729.i | − | 0.0141691i | ||||||
\(719\) | −1.47635e6 | + | 1.07263e6i | −0.106504 | + | 0.0773797i | −0.639763 | − | 0.768573i | \(-0.720967\pi\) |
0.533259 | + | 0.845952i | \(0.320967\pi\) | |||||||
\(720\) | −1.26267e7 | + | 1.97362e7i | −0.907736 | + | 1.41884i | ||||
\(721\) | 1.12312e6 | + | 815996.i | 0.0804617 | + | 0.0584588i | ||||
\(722\) | 784999. | − | 1.08046e6i | 0.0560436 | − | 0.0771374i | ||||
\(723\) | 1.56313e7 | + | 5.07892e6i | 1.11211 | + | 0.361348i | ||||
\(724\) | −7.73258e6 | −0.548249 | ||||||||
\(725\) | 2.14316e7 | − | 2.54790e6i | 1.51429 | − | 0.180027i | ||||
\(726\) | 1.19653e6 | 0.0842527 | ||||||||
\(727\) | 1.57665e7 | + | 5.12286e6i | 1.10637 | + | 0.359481i | 0.804551 | − | 0.593884i | \(-0.202406\pi\) |
0.301819 | + | 0.953365i | \(0.402406\pi\) | |||||||
\(728\) | −213011. | + | 293184.i | −0.0148961 | + | 0.0205028i | ||||
\(729\) | −1.76623e7 | − | 1.28324e7i | −1.23091 | − | 0.894312i | ||||
\(730\) | −915892. | − | 238744.i | −0.0636117 | − | 0.0165816i | ||||
\(731\) | 2.11822e6 | − | 1.53897e6i | 0.146614 | − | 0.106522i | ||||
\(732\) | 3.01685e7i | 2.08102i | ||||||||
\(733\) | 6.50068e6 | + | 8.94742e6i | 0.446888 | + | 0.615089i | 0.971725 | − | 0.236114i | \(-0.0758738\pi\) |
−0.524837 | + | 0.851203i | \(0.675874\pi\) | |||||||
\(734\) | 528318. | + | 1.62600e6i | 0.0361956 | + | 0.111399i | ||||
\(735\) | −6.08261e6 | + | 2.33346e7i | −0.415309 | + | 1.59324i | ||||
\(736\) | −1.69405e6 | + | 5.21376e6i | −0.115274 | + | 0.354778i | ||||
\(737\) | 7.06171e6 | − | 2.29449e6i | 0.478896 | − | 0.155603i | ||||
\(738\) | −738664. | + | 240007.i | −0.0499236 | + | 0.0162212i | ||||
\(739\) | −1.79983e6 | + | 5.53930e6i | −0.121233 | + | 0.373116i | −0.993196 | − | 0.116456i | \(-0.962847\pi\) |
0.871963 | + | 0.489571i | \(0.162847\pi\) | |||||||
\(740\) | 1.05646e7 | − | 625782.i | 0.709205 | − | 0.0420091i | ||||
\(741\) | −3.89942e6 | − | 1.20012e7i | −0.260888 | − | 0.802931i | ||||
\(742\) | 63971.7 | + | 88049.5i | 0.00426558 | + | 0.00587107i | ||||
\(743\) | 1.93219e7i | 1.28404i | 0.766688 | + | 0.642019i | \(0.221903\pi\) | ||||
−0.766688 | + | 0.642019i | \(0.778097\pi\) | |||||||
\(744\) | −4.54710e6 | + | 3.30366e6i | −0.301163 | + | 0.218808i | ||||
\(745\) | −1.36743e7 | + | 5.35613e6i | −0.902641 | + | 0.353558i | ||||
\(746\) | −927433. | − | 673819.i | −0.0610148 | − | 0.0443299i | ||||
\(747\) | 1.37374e6 | − | 1.89079e6i | 0.0900749 | − | 0.123978i | ||||
\(748\) | −2.77215e6 | − | 900727.i | −0.181160 | − | 0.0588626i | ||||
\(749\) | −629304. | −0.0409879 | ||||||||
\(750\) | −485897. | − | 2.70872e6i | −0.0315421 | − | 0.175837i | ||||
\(751\) | 2.01167e7 | 1.30154 | 0.650769 | − | 0.759276i | \(-0.274447\pi\) | ||||
0.650769 | + | 0.759276i | \(0.274447\pi\) | |||||||
\(752\) | −2.56582e7 | − | 8.33684e6i | −1.65455 | − | 0.537597i | ||||
\(753\) | −1.73309e7 | + | 2.38540e7i | −1.11387 | + | 1.53311i | ||||
\(754\) | −3.11068e6 | − | 2.26004e6i | −0.199263 | − | 0.144773i | ||||
\(755\) | 5.32488e6 | − | 2.08571e6i | 0.339971 | − | 0.133164i | ||||
\(756\) | −1.22390e6 | + | 889218.i | −0.0778830 | + | 0.0565853i | ||||
\(757\) | 2.30556e6i | 0.146230i | 0.997324 | + | 0.0731150i | \(0.0232940\pi\) | ||||
−0.997324 | + | 0.0731150i | \(0.976706\pi\) | |||||||
\(758\) | −153509. | − | 211287.i | −0.00970424 | − | 0.0133567i | ||||
\(759\) | 1.15460e7 | + | 3.55349e7i | 0.727490 | + | 2.23898i | ||||
\(760\) | −1.15930e6 | + | 68670.0i | −0.0728051 | + | 0.00431254i | ||||
\(761\) | 7.73300e6 | − | 2.37997e7i | 0.484046 | − | 1.48974i | −0.349312 | − | 0.937006i | \(-0.613585\pi\) |
0.833358 | − | 0.552734i | \(-0.186415\pi\) | |||||||
\(762\) | 839242. | − | 272686.i | 0.0523600 | − | 0.0170128i | ||||
\(763\) | 323911. | − | 105245.i | 0.0201426 | − | 0.00654472i | ||||
\(764\) | 1.78406e6 | − | 5.49077e6i | 0.110580 | − | 0.340329i | ||||
\(765\) | −1.13187e6 | + | 4.34219e6i | −0.0699268 | + | 0.268259i | ||||
\(766\) | −9681.78 | − | 29797.5i | −0.000596188 | − | 0.00183488i | ||||
\(767\) | −9.73668e6 | − | 1.34014e7i | −0.597616 | − | 0.822548i | ||||
\(768\) | 2.39876e7i | 1.46752i | ||||||||
\(769\) | 1.09568e7 | − | 7.96056e6i | 0.668139 | − | 0.485431i | −0.201263 | − | 0.979537i | \(-0.564504\pi\) |
0.869402 | + | 0.494106i | \(0.164504\pi\) | |||||||
\(770\) | 164328. | + | 42835.2i | 0.00998814 | + | 0.00260360i | ||||
\(771\) | −2.24855e7 | − | 1.63367e7i | −1.36228 | − | 0.989754i | ||||
\(772\) | 1.16264e7 | − | 1.60024e7i | 0.702106 | − | 0.966366i | ||||
\(773\) | 2.98451e7 | + | 9.69726e6i | 1.79649 | + | 0.583714i | 0.999787 | − | 0.0206598i | \(-0.00657668\pi\) |
0.796701 | + | 0.604374i | \(0.206577\pi\) | |||||||
\(774\) | 3.57721e6 | 0.214631 | ||||||||
\(775\) | −3.40966e6 | + | 1.71882e7i | −0.203918 | + | 1.02796i | ||||
\(776\) | −1.64265e6 | −0.0979242 | ||||||||
\(777\) | 1.50413e6 | + | 488720.i | 0.0893782 | + | 0.0290407i | ||||
\(778\) | 125755. | − | 173087.i | 0.00744864 | − | 0.0102522i | ||||
\(779\) | 1.30046e6 | + | 944839.i | 0.0767809 | + | 0.0557846i | ||||
\(780\) | 2.24619e7 | − | 3.51091e7i | 1.32194 | − | 2.06625i | ||||
\(781\) | −2.19386e6 | + | 1.59393e6i | −0.128701 | + | 0.0935067i | ||||
\(782\) | 343121.i | 0.0200646i | ||||||||
\(783\) | −1.89802e7 | − | 2.61240e7i | −1.10636 | − | 1.52277i | ||||
\(784\) | 5.10155e6 | + | 1.57010e7i | 0.296423 | + | 0.912297i | ||||
\(785\) | −6.97276e6 | − | 1.78016e7i | −0.403860 | − | 1.03106i | ||||
\(786\) | 60851.0 | − | 187280.i | 0.00351327 | − | 0.0108127i | ||||
\(787\) | 6.90320e6 | − | 2.24299e6i | 0.397295 | − | 0.129089i | −0.103553 | − | 0.994624i | \(-0.533021\pi\) |
0.500849 | + | 0.865535i | \(0.333021\pi\) | |||||||
\(788\) | 2.76364e6 | − | 897962.i | 0.158550 | − | 0.0515161i | ||||
\(789\) | −5.06600e6 | + | 1.55916e7i | −0.289716 | + | 0.891655i | ||||
\(790\) | 2.82937e6 | + | 1.81016e6i | 0.161296 | + | 0.103193i | ||||
\(791\) | −332332. | − | 1.02281e6i | −0.0188856 | − | 0.0581238i | ||||
\(792\) | −4.70911e6 | − | 6.48153e6i | −0.266763 | − | 0.367168i | ||||
\(793\) | − | 3.37103e7i | − | 1.90362i | ||||||
\(794\) | 1.22288e6 | − | 888473.i | 0.0688386 | − | 0.0500141i | ||||
\(795\) | −1.59802e7 | − | 1.94616e7i | −0.896736 | − | 1.09210i | ||||
\(796\) | 924140. | + | 671427.i | 0.0516958 | + | 0.0375592i | ||||
\(797\) | 8.03646e6 | − | 1.10612e7i | 0.448145 | − | 0.616819i | −0.523852 | − | 0.851809i | \(-0.675506\pi\) |
0.971998 | + | 0.234990i | \(0.0755057\pi\) | |||||||
\(798\) | −82044.9 | − | 26658.0i | −0.00456084 | − | 0.00148191i | ||||
\(799\) | −5.16697e6 | −0.286331 | ||||||||
\(800\) | −3.91549e6 | − | 4.23133e6i | −0.216302 | − | 0.233750i | ||||
\(801\) | 2.15892e7 | 1.18893 | ||||||||
\(802\) | −933562. | − | 303333.i | −0.0512516 | − | 0.0166527i | ||||
\(803\) | −7.94329e6 | + | 1.09330e7i | −0.434722 | + | 0.598343i | ||||
\(804\) | −1.00792e7 | − | 7.32296e6i | −0.549903 | − | 0.399528i | ||||
\(805\) | 100489. | + | 1.69648e6i | 0.00546550 | + | 0.0922696i | ||||
\(806\) | 2.52561e6 | − | 1.83496e6i | 0.136939 | − | 0.0994923i | ||||
\(807\) | 4.68121e7i | 2.53031i | ||||||||
\(808\) | 3.62194e6 | + | 4.98518e6i | 0.195170 | + | 0.268629i | ||||
\(809\) | −2.55585e6 | − | 7.86611e6i | −0.137298 | − | 0.422560i | 0.858642 | − | 0.512575i | \(-0.171308\pi\) |
−0.995940 | + | 0.0900150i | \(0.971308\pi\) | |||||||
\(810\) | −466812. | + | 383306.i | −0.0249994 | + | 0.0205273i | ||||
\(811\) | −5.46738e6 | + | 1.68269e7i | −0.291895 | + | 0.898362i | 0.692351 | + | 0.721561i | \(0.256575\pi\) |
−0.984247 | + | 0.176801i | \(0.943425\pi\) | |||||||
\(812\) | 2.12529e6 | − | 690548.i | 0.113117 | − | 0.0367539i | ||||
\(813\) | −4.22127e7 | + | 1.37157e7i | −2.23984 | + | 0.727768i | ||||
\(814\) | −549251. | + | 1.69042e6i | −0.0290543 | + | 0.0894199i | ||||
\(815\) | 1.40374e7 | − | 1.15263e7i | 0.740276 | − | 0.607851i | ||||
\(816\) | 1.49334e6 | + | 4.59602e6i | 0.0785114 | + | 0.241633i | ||||
\(817\) | −4.35173e6 | − | 5.98964e6i | −0.228090 | − | 0.313939i | ||||
\(818\) | − | 3.35915e6i | − | 0.175528i | ||||||
\(819\) | 3.20331e6 | − | 2.32734e6i | 0.166874 | − | 0.121241i | ||||
\(820\) | 313947. | + | 5.30010e6i | 0.0163050 | + | 0.275264i | ||||
\(821\) | −5.81242e6 | − | 4.22297e6i | −0.300953 | − | 0.218655i | 0.427052 | − | 0.904227i | \(-0.359552\pi\) |
−0.728005 | + | 0.685572i | \(0.759552\pi\) | |||||||
\(822\) | −848232. | + | 1.16749e6i | −0.0437860 | + | 0.0602662i | ||||
\(823\) | −1.11178e7 | − | 3.61240e6i | −0.572163 | − | 0.185907i | 0.00862362 | − | 0.999963i | \(-0.497255\pi\) |
−0.580787 | + | 0.814056i | \(0.697255\pi\) | |||||||
\(824\) | 5.26650e6 | 0.270211 | ||||||||
\(825\) | −3.85409e7 | − | 7.64544e6i | −1.97146 | − | 0.391082i | ||||
\(826\) | −113245. | −0.00577524 | ||||||||
\(827\) | 2.44443e7 | + | 7.94242e6i | 1.24283 | + | 0.403821i | 0.855348 | − | 0.518055i | \(-0.173344\pi\) |
0.387486 | + | 0.921876i | \(0.373344\pi\) | |||||||
\(828\) | 2.34253e7 | − | 3.22421e7i | 1.18743 | − | 1.63436i | ||||
\(829\) | −2.64197e7 | − | 1.91951e7i | −1.33519 | − | 0.970070i | −0.999606 | − | 0.0280591i | \(-0.991067\pi\) |
−0.335581 | − | 0.942011i | \(-0.608933\pi\) | |||||||
\(830\) | 119262. | + | 145244.i | 0.00600906 | + | 0.00731818i | ||||
\(831\) | −3.87428e7 | + | 2.81483e7i | −1.94620 | + | 1.41400i | ||||
\(832\) | − | 2.78429e7i | − | 1.39446i | ||||||
\(833\) | 1.85847e6 | + | 2.55796e6i | 0.0927989 | + | 0.127727i | ||||
\(834\) | −1.31276e6 | − | 4.04025e6i | −0.0653536 | − | 0.201138i | ||||
\(835\) | 2.02015e7 | + | 1.29244e7i | 1.00269 | + | 0.641496i | ||||
\(836\) | −2.54697e6 | + | 7.83877e6i | −0.126040 | + | 0.387911i | ||||
\(837\) | 2.49344e7 | − | 8.10166e6i | 1.23022 | − | 0.399724i | ||||
\(838\) | −2.45041e6 | + | 796187.i | −0.120539 | + | 0.0391656i | ||||
\(839\) | 2.08425e6 | − | 6.41467e6i | 0.102222 | − | 0.314608i | −0.886846 | − | 0.462065i | \(-0.847109\pi\) |
0.989068 | + | 0.147457i | \(0.0471088\pi\) | |||||||
\(840\) | −209064. | − | 533745.i | −0.0102231 | − | 0.0260997i | ||||
\(841\) | 8.40129e6 | + | 2.58565e7i | 0.409596 | + | 1.26061i | ||||
\(842\) | 2.15738e6 | + | 2.96938e6i | 0.104869 | + | 0.144339i | ||||
\(843\) | − | 2.52166e7i | − | 1.22213i | ||||||
\(844\) | −1.37077e7 | + | 9.95919e6i | −0.662380 | + | 0.481247i | ||||
\(845\) | −1.39132e7 | + | 2.17470e7i | −0.670325 | + | 1.04775i | ||||
\(846\) | −5.71118e6 | − | 4.14942e6i | −0.274347 | − | 0.199325i | ||||
\(847\) | 456737. | − | 628645.i | 0.0218755 | − | 0.0301090i | ||||
\(848\) | −1.63960e7 | − | 5.32737e6i | −0.782974 | − | 0.254404i | ||||
\(849\) | 5.18646e7 | 2.46946 | ||||||||
\(850\) | −314914. | − | 176145.i | −0.0149501 | − | 0.00836226i | ||||
\(851\) | −1.77873e7 | −0.841952 | ||||||||
\(852\) | 4.32735e6 | + | 1.40604e6i | 0.204232 | + | 0.0663590i | ||||
\(853\) | −2.24918e6 | + | 3.09573e6i | −0.105840 | + | 0.145677i | −0.858652 | − | 0.512560i | \(-0.828697\pi\) |
0.752811 | + | 0.658236i | \(0.228697\pi\) | |||||||
\(854\) | −186444. | − | 135460.i | −0.00874791 | − | 0.00635573i | ||||
\(855\) | 1.22783e7 | + | 3.20058e6i | 0.574413 | + | 0.149731i | ||||
\(856\) | −1.93139e6 | + | 1.40324e6i | −0.0900920 | + | 0.0654557i | ||||
\(857\) | 2.45516e7i | 1.14190i | 0.820985 | + | 0.570950i | \(0.193425\pi\) | ||||
−0.820985 | + | 0.570950i | \(0.806575\pi\) | |||||||
\(858\) | 4.11452e6 | + | 5.66314e6i | 0.190810 | + | 0.262627i | ||||
\(859\) | 4.32888e6 | + | 1.33229e7i | 0.200167 | + | 0.616051i | 0.999877 | + | 0.0156649i | \(0.00498651\pi\) |
−0.799710 | + | 0.600386i | \(0.795013\pi\) | |||||||
\(860\) | 6.16827e6 | − | 2.36632e7i | 0.284392 | − | 1.09101i | ||||
\(861\) | −245185. | + | 754601.i | −0.0112716 | + | 0.0346904i | ||||
\(862\) | −3.16144e6 | + | 1.02721e6i | −0.144916 | + | 0.0470861i | ||||
\(863\) | 1.50438e7 | − | 4.88804e6i | 0.687593 | − | 0.223413i | 0.0556765 | − | 0.998449i | \(-0.482268\pi\) |
0.631917 | + | 0.775036i | \(0.282268\pi\) | |||||||
\(864\) | −2.66539e6 | + | 8.20323e6i | −0.121472 | + | 0.373853i | ||||
\(865\) | 3.41653e6 | − | 202375.i | 0.155255 | − | 0.00919638i | ||||
\(866\) | 216163. | + | 665281.i | 0.00979460 | + | 0.0301447i | ||||
\(867\) | −2.10104e7 | − | 2.89184e7i | −0.949264 | − | 1.30655i | ||||
\(868\) | 1.81435e6i | 0.0817377i | ||||||||
\(869\) | 3.87984e7 | − | 2.81887e7i | 1.74287 | − | 1.26627i | ||||
\(870\) | 5.66303e6 | − | 2.21816e6i | 0.253659 | − | 0.0993563i | ||||
\(871\) | 1.12625e7 | + | 8.18268e6i | 0.503025 | + | 0.365469i | ||||
\(872\) | 759435. | − | 1.04527e6i | 0.0338220 | − | 0.0465520i | ||||
\(873\) | 1.70690e7 | + | 5.54606e6i | 0.758007 | + | 0.246291i | ||||
\(874\) | 970239. | 0.0429635 | ||||||||
\(875\) | −1.60860e6 | − | 778679.i | −0.0710279 | − | 0.0343826i | ||||
\(876\) | 2.26749e7 | 0.998357 | ||||||||
\(877\) | −2.84130e7 | − | 9.23194e6i | −1.24743 | − | 0.405316i | −0.390434 | − | 0.920631i | \(-0.627675\pi\) |
−0.857001 | + | 0.515315i | \(0.827675\pi\) | |||||||
\(878\) | −1.02808e6 | + | 1.41503e6i | −0.0450080 | + | 0.0619482i | ||||
\(879\) | 3.81718e7 | + | 2.77334e7i | 1.66637 | + | 1.21069i | ||||
\(880\) | −2.50469e7 | + | 9.81067e6i | −1.09030 | + | 0.427063i | ||||
\(881\) | 1.49934e6 | − | 1.08934e6i | 0.0650821 | − | 0.0472849i | −0.554769 | − | 0.832005i | \(-0.687193\pi\) |
0.619851 | + | 0.784720i | \(0.287193\pi\) | |||||||
\(882\) | 4.31986e6i | 0.186981i | ||||||||
\(883\) | −1.27854e7 | − | 1.75975e7i | −0.551837 | − | 0.759539i | 0.438423 | − | 0.898769i | \(-0.355537\pi\) |
−0.990260 | + | 0.139230i | \(0.955537\pi\) | |||||||
\(884\) | −1.68875e6 | − | 5.19745e6i | −0.0726835 | − | 0.223697i | ||||
\(885\) | 2.61563e7 | − | 1.54934e6i | 1.12258 | − | 0.0664951i | ||||
\(886\) | −915638. | + | 2.81805e6i | −0.0391868 | + | 0.120605i | ||||
\(887\) | −1.77823e7 | + | 5.77781e6i | −0.758889 | + | 0.246578i | −0.662802 | − | 0.748795i | \(-0.730633\pi\) |
−0.0960871 | + | 0.995373i | \(0.530633\pi\) | |||||||
\(888\) | 5.70606e6 | − | 1.85401e6i | 0.242831 | − | 0.0789006i | ||||
\(889\) | 177086. | − | 545016.i | 0.00751503 | − | 0.0231289i | ||||
\(890\) | −437895. | + | 1.67989e6i | −0.0185308 | + | 0.0710896i | ||||
\(891\) | 2.66498e6 | + | 8.20196e6i | 0.112460 | + | 0.346117i | ||||
\(892\) | −1.10432e7 | − | 1.51997e7i | −0.464711 | − | 0.639620i | ||||
\(893\) | 1.46106e7i | 0.613110i | ||||||||
\(894\) | −3.34811e6 | + | 2.43254e6i | −0.140106 | + | 0.101793i | ||||
\(895\) | 1.75516e7 | + | 4.57516e6i | 0.732419 | + | 0.190919i | ||||
\(896\) | −642584. | − | 466864.i | −0.0267399 | − | 0.0194277i | ||||
\(897\) | −4.11757e7 | + | 5.66735e7i | −1.70868 | + | 2.35179i | ||||
\(898\) | 317478. | + | 103155.i | 0.0131378 | + | 0.00426873i | ||||
\(899\) | −3.87270e7 | −1.59814 | ||||||||
\(900\) | 1.75659e7 | + | 3.80514e7i | 0.722878 | + | 1.56590i | ||||
\(901\) | −3.30177e6 | −0.135499 | ||||||||
\(902\) | −848063. | − | 275552.i | −0.0347066 | − | 0.0112769i | ||||
\(903\) | 2.14800e6 | − | 2.95646e6i | 0.0876626 | − | 0.120657i | ||||
\(904\) | −3.30065e6 | − | 2.39806e6i | −0.134332 | − | 0.0975976i | ||||
\(905\) | −7.36550e6 | + | 1.15126e7i | −0.298938 | + | 0.467254i | ||||
\(906\) | 1.30378e6 | − | 947249.i | 0.0527695 | − | 0.0383393i | ||||
\(907\) | 2.53652e7i | 1.02381i | 0.859041 | + | 0.511906i | \(0.171060\pi\) | ||||
−0.859041 | + | 0.511906i | \(0.828940\pi\) | |||||||
\(908\) | −5.42862e6 | − | 7.47185e6i | −0.218512 | − | 0.300756i | ||||
\(909\) | −2.08048e7 | − | 6.40306e7i | −0.835129 | − | 2.57026i | ||||
\(910\) | 116121. | + | 296460.i | 0.00464844 | + | 0.0118676i | ||||
\(911\) | 5.87458e6 | − | 1.80801e7i | 0.234521 | − | 0.721780i | −0.762664 | − | 0.646795i | \(-0.776109\pi\) |
0.997185 | − | 0.0749853i | \(-0.0238910\pi\) | |||||||
\(912\) | 1.29961e7 | − | 4.22269e6i | 0.517399 | − | 0.168113i | ||||
\(913\) | 2.55196e6 | − | 829183.i | 0.101320 | − | 0.0329210i | ||||
\(914\) | 1.06646e6 | − | 3.28222e6i | 0.0422258 | − | 0.129958i | ||||
\(915\) | 4.49164e7 | + | 2.87364e7i | 1.77358 | + | 1.13469i | ||||
\(916\) | −4.46763e6 | − | 1.37499e7i | −0.175929 | − | 0.541455i | ||||
\(917\) | −75166.9 | − | 103458.i | −0.00295191 | − | 0.00406296i | ||||
\(918\) | 539861.i | 0.0211434i | ||||||||
\(919\) | −2.34824e7 | + | 1.70610e7i | −0.917179 | + | 0.666370i | −0.942820 | − | 0.333302i | \(-0.891837\pi\) |
0.0256412 | + | 0.999671i | \(0.491837\pi\) | |||||||
\(920\) | 4.09126e6 | + | 4.98258e6i | 0.159363 | + | 0.194082i | ||||
\(921\) | 1.52288e7 | + | 1.10644e7i | 0.591586 | + | 0.429812i | ||||
\(922\) | 1.55412e6 | − | 2.13907e6i | 0.0602086 | − | 0.0828700i | ||||
\(923\) | −4.83539e6 | − | 1.57111e6i | −0.186822 | − | 0.0607020i | ||||
\(924\) | −4.06830e6 | −0.156759 | ||||||||
\(925\) | 9.13134e6 | − | 1.63251e7i | 0.350897 | − | 0.627338i | ||||
\(926\) | 79667.5 | 0.00305319 | ||||||||
\(927\) | −5.47251e7 | − | 1.77812e7i | −2.09164 | − | 0.679615i | ||||
\(928\) | 7.48892e6 | − | 1.03076e7i | 0.285463 | − | 0.392906i | ||||
\(929\) | 3.63789e7 | + | 2.64308e7i | 1.38296 | + | 1.00478i | 0.996596 | + | 0.0824362i | \(0.0262701\pi\) |
0.386367 | + | 0.922345i | \(0.373730\pi\) | |||||||
\(930\) | 291987. | + | 4.92939e6i | 0.0110702 | + | 0.186890i | ||||
\(931\) | 7.23311e6 | − | 5.25517e6i | 0.273496 | − | 0.198707i | ||||
\(932\) | 1.15884e7i | 0.437003i | ||||||||
\(933\) | 3.94821e7 | + | 5.43424e7i | 1.48490 | + | 2.04378i | ||||
\(934\) | 231751. | + | 713256.i | 0.00869269 | + | 0.0267534i | ||||
\(935\) | −3.98160e6 | + | 3.26934e6i | −0.148946 | + | 0.122301i | ||||
\(936\) | 4.64169e6 | − | 1.42856e7i | 0.173175 | − | 0.532979i | ||||
\(937\) | 2.63288e7 | − | 8.55476e6i | 0.979676 | − | 0.318316i | 0.224960 | − | 0.974368i | \(-0.427775\pi\) |
0.754716 | + | 0.656052i | \(0.227775\pi\) | |||||||
\(938\) | 90513.1 | − | 29409.5i | 0.00335896 | − | 0.00109139i | ||||
\(939\) | 1.39516e7 | − | 4.29386e7i | 0.516369 | − | 1.58922i | ||||
\(940\) | −3.72963e7 | + | 3.06245e7i | −1.37672 | + | 1.13044i | ||||
\(941\) | 6.88171e6 | + | 2.11797e7i | 0.253351 | + | 0.779733i | 0.994150 | + | 0.108007i | \(0.0344469\pi\) |
−0.740799 | + | 0.671726i | \(0.765553\pi\) | |||||||
\(942\) | −3.16675e6 | − | 4.35866e6i | −0.116275 | − | 0.160039i | ||||
\(943\) | − | 8.92368e6i | − | 0.326787i | ||||||
\(944\) | 1.45124e7 | − | 1.05439e7i | 0.530040 | − | 0.385097i | ||||
\(945\) | 158108. | + | 2.66921e6i | 0.00575937 | + | 0.0972307i | ||||
\(946\) | 3.32264e6 | + | 2.41404e6i | 0.120713 | + | 0.0877035i | ||||
\(947\) | 5.05765e6 | − | 6.96126e6i | 0.183263 | − | 0.252239i | −0.707495 | − | 0.706719i | \(-0.750175\pi\) |
0.890757 | + | 0.454479i | \(0.150175\pi\) | |||||||
\(948\) | −7.65292e7 | − | 2.48658e7i | −2.76571 | − | 0.898633i | ||||
\(949\) | −2.53370e7 | −0.913249 | ||||||||
\(950\) | −498083. | + | 890478.i | −0.0179058 | + | 0.0320121i | ||||
\(951\) | −4.34011e7 | −1.55614 | ||||||||
\(952\) | −71481.8 | − | 23225.8i | −0.00255625 | − | 0.000830575i | ||||
\(953\) | 2.26445e7 | − | 3.11674e7i | 0.807662 | − | 1.11165i | −0.184018 | − | 0.982923i | \(-0.558910\pi\) |
0.991680 | − | 0.128728i | \(-0.0410895\pi\) | |||||||
\(954\) | −3.64953e6 | − | 2.65154e6i | −0.129827 | − | 0.0943251i | ||||
\(955\) | −6.47555e6 | − | 7.88629e6i | −0.229757 | − | 0.279811i | ||||
\(956\) | 297281. | − | 215987.i | 0.0105202 | − | 0.00764335i | ||||
\(957\) | − | 8.68370e7i | − | 3.06496i | ||||||
\(958\) | −3.51400e6 | − | 4.83661e6i | −0.123705 | − | 0.170266i | ||||
\(959\) | 289601. | + | 891301.i | 0.0101684 | + | 0.0312952i | ||||
\(960\) | 3.70985e7 | + | 2.37347e7i | 1.29921 | + | 0.831199i | ||||
\(961\) | 869529. | − | 2.67614e6i | 0.0303722 | − | 0.0934759i | ||||
\(962\) | −3.16934e6 | + | 1.02978e6i | −0.110416 | + | 0.0358762i | ||||
\(963\) | 2.48072e7 | − | 8.06034e6i | 0.862009 | − | 0.280084i | ||||
\(964\) | 6.21969e6 | − | 1.91423e7i | 0.215564 | − | 0.663438i | ||||
\(965\) | −1.27506e7 | − | 3.25527e7i | −0.440771 | − | 1.12530i | ||||
\(966\) | 147990. | + | 455467.i | 0.00510258 | + | 0.0157041i | ||||
\(967\) | 2.73456e7 | + | 3.76380e7i | 0.940420 | + | 1.29438i | 0.955654 | + | 0.294493i | \(0.0951506\pi\) |
−0.0152342 | + | 0.999884i | \(0.504849\pi\) | |||||||
\(968\) | − | 2.94781e6i | − | 0.101114i | ||||||
\(969\) | 2.11729e6 | − | 1.53830e6i | 0.0724388 | − | 0.0526299i | ||||
\(970\) | −777759. | + | 1.21568e6i | −0.0265409 | + | 0.0414848i | ||||
\(971\) | −2.67019e7 | − | 1.94001e7i | −0.908854 | − | 0.660321i | 0.0318711 | − | 0.999492i | \(-0.489853\pi\) |
−0.940725 | + | 0.339171i | \(0.889853\pi\) | |||||||
\(972\) | −1.26162e7 | + | 1.73647e7i | −0.428313 | + | 0.589523i | ||||
\(973\) | −2.62380e6 | − | 852524.i | −0.0888482 | − | 0.0288685i | ||||
\(974\) | −78318.8 | −0.00264526 | ||||||||
\(975\) | −3.08765e7 | − | 6.68848e7i | −1.04020 | − | 2.25328i | ||||
\(976\) | 3.65050e7 | 1.22667 | ||||||||
\(977\) | −5.29689e7 | − | 1.72106e7i | −1.77535 | − | 0.576846i | −0.776754 | − | 0.629804i | \(-0.783135\pi\) |
−0.998597 | + | 0.0529575i | \(0.983135\pi\) | |||||||
\(978\) | 3.00854e6 | − | 4.14090e6i | 0.100579 | − | 0.138435i | ||||
\(979\) | 2.00528e7 | + | 1.45692e7i | 0.668681 | + | 0.485826i | ||||
\(980\) | 2.85758e7 | + | 7.44882e6i | 0.950459 | + | 0.247755i | ||||
\(981\) | −1.14206e7 | + | 8.29753e6i | −0.378892 | + | 0.275281i | ||||
\(982\) | 5.96784e6i | 0.197487i | ||||||||
\(983\) | −1.08279e7 | − | 1.49033e7i | −0.357405 | − | 0.491926i | 0.592018 | − | 0.805925i | \(-0.298331\pi\) |
−0.949423 | + | 0.313998i | \(0.898331\pi\) | |||||||
\(984\) | 930134. | + | 2.86266e6i | 0.0306237 | + | 0.0942501i | ||||
\(985\) | 1.29552e6 | − | 4.96998e6i | 0.0425454 | − | 0.163216i | ||||
\(986\) | 246426. | − | 758421.i | 0.00807224 | − | 0.0248438i | ||||
\(987\) | −6.85875e6 | + | 2.22854e6i | −0.224105 | + | 0.0728162i | ||||
\(988\) | −1.46968e7 | + | 4.77526e6i | −0.478993 | + | 0.155634i | ||||
\(989\) | −1.27008e7 | + | 3.90890e7i | −0.412895 | + | 1.27076i | ||||
\(990\) | −7.02646e6 | + | 416206.i | −0.227850 | + | 0.0134965i | ||||
\(991\) | −1.97903e6 | − | 6.09084e6i | −0.0640132 | − | 0.197012i | 0.913935 | − | 0.405861i | \(-0.133028\pi\) |
−0.977948 | + | 0.208849i | \(0.933028\pi\) | |||||||
\(992\) | 6.08037e6 | + | 8.36891e6i | 0.196178 | + | 0.270016i | ||||
\(993\) | 4.37817e7i | 1.40903i | ||||||||
\(994\) | −28119.7 | + | 20430.2i | −0.000902703 | + | 0.000655852i | ||||
\(995\) | 1.87992e6 | − | 736351.i | 0.0601980 | − | 0.0235791i | ||||
\(996\) | −3.64242e6 | − | 2.64637e6i | −0.116343 | − | 0.0845284i | ||||
\(997\) | −3.23734e6 | + | 4.45582e6i | −0.103146 | + | 0.141968i | −0.857470 | − | 0.514534i | \(-0.827965\pi\) |
0.754324 | + | 0.656502i | \(0.227965\pi\) | |||||||
\(998\) | −3.37690e6 | − | 1.09722e6i | −0.107323 | − | 0.0348713i | ||||
\(999\) | −2.79863e7 | −0.887221 |
(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 | 25.6.e.a.4.6 | ✓ | 48 | |
25.12 | odd | 20 | 625.6.a.g.1.26 | 48 | |||
25.13 | odd | 20 | 625.6.a.g.1.23 | 48 | |||
25.19 | even | 10 | inner | 25.6.e.a.19.6 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.6.e.a.4.6 | ✓ | 48 | 1.1 | even | 1 | trivial | |
25.6.e.a.19.6 | yes | 48 | 25.19 | even | 10 | inner | |
625.6.a.g.1.23 | 48 | 25.13 | odd | 20 | |||
625.6.a.g.1.26 | 48 | 25.12 | odd | 20 |