Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,6,Mod(2,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.2");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.f (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: | \(5.29266605383\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 17.18 | ||
Character | \(\chi\) | \(=\) | 33.17 |
Dual form | 33.6.f.a.2.18 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.08173 | + | 9.48458i | 0.544777 | + | 1.67665i | 0.721519 | + | 0.692395i | \(0.243444\pi\) |
−0.176742 | + | 0.984257i | \(0.556556\pi\) | |||||||
\(3\) | −12.6871 | − | 9.05745i | −0.813878 | − | 0.581036i | ||||
\(4\) | −54.5716 | + | 39.6486i | −1.70536 | + | 1.23902i | ||||
\(5\) | −16.3931 | − | 5.32643i | −0.293248 | − | 0.0952821i | 0.158698 | − | 0.987327i | \(-0.449270\pi\) |
−0.451947 | + | 0.892045i | \(0.649270\pi\) | |||||||
\(6\) | 46.8079 | − | 148.244i | 0.530813 | − | 1.68113i | ||||
\(7\) | −74.1699 | − | 102.086i | −0.572114 | − | 0.787448i | 0.420689 | − | 0.907205i | \(-0.361788\pi\) |
−0.992803 | + | 0.119757i | \(0.961788\pi\) | |||||||
\(8\) | −286.047 | − | 207.825i | −1.58020 | − | 1.14808i | ||||
\(9\) | 78.9251 | + | 229.826i | 0.324795 | + | 0.945785i | ||||
\(10\) | − | 171.896i | − | 0.543583i | ||||||
\(11\) | −293.152 | + | 274.067i | −0.730484 | + | 0.682929i | ||||
\(12\) | 1051.47 | − | 8.74606i | 2.10787 | − | 0.0175331i | ||||
\(13\) | −289.976 | + | 94.2191i | −0.475888 | + | 0.154625i | −0.537133 | − | 0.843498i | \(-0.680493\pi\) |
0.0612456 | + | 0.998123i | \(0.480493\pi\) | |||||||
\(14\) | 739.673 | − | 1018.07i | 1.00860 | − | 1.38822i | ||||
\(15\) | 159.737 | + | 216.057i | 0.183306 | + | 0.247936i | ||||
\(16\) | 422.592 | − | 1300.60i | 0.412687 | − | 1.27012i | ||||
\(17\) | 415.883 | − | 1279.96i | 0.349019 | − | 1.07417i | −0.610378 | − | 0.792110i | \(-0.708982\pi\) |
0.959397 | − | 0.282060i | \(-0.0910176\pi\) | |||||||
\(18\) | −1936.57 | + | 1456.83i | −1.40881 | + | 1.05981i | ||||
\(19\) | −1592.36 | + | 2191.69i | −1.01195 | + | 1.39282i | −0.0942452 | + | 0.995549i | \(0.530044\pi\) |
−0.917700 | + | 0.397274i | \(0.869956\pi\) | |||||||
\(20\) | 1105.78 | − | 359.290i | 0.618151 | − | 0.200849i | ||||
\(21\) | 16.3611 | + | 1966.97i | 0.00809589 | + | 0.973305i | ||||
\(22\) | −3502.83 | − | 1935.82i | −1.54299 | − | 0.852724i | ||||
\(23\) | 3564.43i | 1.40498i | 0.711694 | + | 0.702490i | \(0.247928\pi\) | ||||
−0.711694 | + | 0.702490i | \(0.752072\pi\) | |||||||
\(24\) | 1746.74 | + | 5227.55i | 0.619013 | + | 1.85255i | ||||
\(25\) | −2287.82 | − | 1662.20i | −0.732101 | − | 0.531903i | ||||
\(26\) | −1787.26 | − | 2459.95i | −0.518505 | − | 0.713661i | ||||
\(27\) | 1080.30 | − | 3630.68i | 0.285191 | − | 0.958471i | ||||
\(28\) | 8095.14 | + | 2630.27i | 1.95132 | + | 0.634024i | ||||
\(29\) | 3069.44 | − | 2230.08i | 0.677742 | − | 0.492408i | −0.194866 | − | 0.980830i | \(-0.562427\pi\) |
0.872608 | + | 0.488422i | \(0.162427\pi\) | |||||||
\(30\) | −1556.94 | + | 2180.86i | −0.315841 | + | 0.442410i | ||||
\(31\) | 848.134 | + | 2610.29i | 0.158511 | + | 0.487847i | 0.998500 | − | 0.0547568i | \(-0.0174384\pi\) |
−0.839989 | + | 0.542604i | \(0.817438\pi\) | |||||||
\(32\) | 2323.64 | 0.401138 | ||||||||
\(33\) | 6201.60 | − | 821.913i | 0.991332 | − | 0.131384i | ||||
\(34\) | 13421.5 | 1.99115 | ||||||||
\(35\) | 672.118 | + | 2068.57i | 0.0927418 | + | 0.285430i | ||||
\(36\) | −13419.3 | − | 9412.68i | −1.72574 | − | 1.21048i | ||||
\(37\) | −159.754 | + | 116.068i | −0.0191843 | + | 0.0139382i | −0.597336 | − | 0.801991i | \(-0.703774\pi\) |
0.578152 | + | 0.815929i | \(0.303774\pi\) | |||||||
\(38\) | −25694.5 | − | 8348.65i | −2.88656 | − | 0.937902i | ||||
\(39\) | 4532.35 | + | 1431.08i | 0.477157 | + | 0.150662i | ||||
\(40\) | 3582.22 | + | 4930.50i | 0.353999 | + | 0.487238i | ||||
\(41\) | 13619.3 | + | 9894.99i | 1.26530 | + | 0.919297i | 0.999005 | − | 0.0445934i | \(-0.0141992\pi\) |
0.266299 | + | 0.963891i | \(0.414199\pi\) | |||||||
\(42\) | −18605.4 | + | 6216.83i | −1.62748 | + | 0.543809i | ||||
\(43\) | − | 6557.27i | − | 0.540819i | −0.962745 | − | 0.270410i | \(-0.912841\pi\) | ||
0.962745 | − | 0.270410i | \(-0.0871591\pi\) | |||||||
\(44\) | 5131.38 | − | 26579.4i | 0.399579 | − | 2.06973i | ||||
\(45\) | −69.6748 | − | 4187.94i | −0.00512914 | − | 0.308297i | ||||
\(46\) | −33807.1 | + | 10984.6i | −2.35566 | + | 0.765401i | ||||
\(47\) | 6782.17 | − | 9334.86i | 0.447841 | − | 0.616401i | −0.524091 | − | 0.851663i | \(-0.675595\pi\) |
0.971932 | + | 0.235262i | \(0.0755947\pi\) | |||||||
\(48\) | −17141.6 | + | 12673.3i | −1.07386 | + | 0.793937i | ||||
\(49\) | 273.244 | − | 840.959i | 0.0162578 | − | 0.0500362i | ||||
\(50\) | 8714.80 | − | 26821.4i | 0.492983 | − | 1.51725i | ||||
\(51\) | −16869.5 | + | 12472.1i | −0.908190 | + | 0.671451i | ||||
\(52\) | 12088.8 | − | 16638.8i | 0.619977 | − | 0.853325i | ||||
\(53\) | −12489.0 | + | 4057.92i | −0.610714 | + | 0.198433i | −0.598013 | − | 0.801486i | \(-0.704043\pi\) |
−0.0127007 | + | 0.999919i | \(0.504043\pi\) | |||||||
\(54\) | 37764.7 | − | 942.546i | 1.76239 | − | 0.0439864i | ||||
\(55\) | 6265.46 | − | 2931.36i | 0.279284 | − | 0.130666i | ||||
\(56\) | 44615.8i | 1.90116i | ||||||||
\(57\) | 40053.6 | − | 13383.5i | 1.63288 | − | 0.545612i | ||||
\(58\) | 30610.5 | + | 22239.9i | 1.19482 | + | 0.868084i | ||||
\(59\) | 15685.5 | + | 21589.2i | 0.586635 | + | 0.807434i | 0.994403 | − | 0.105651i | \(-0.0336927\pi\) |
−0.407768 | + | 0.913086i | \(0.633693\pi\) | |||||||
\(60\) | −17283.4 | − | 5457.21i | −0.619800 | − | 0.195701i | ||||
\(61\) | −27166.3 | − | 8826.87i | −0.934773 | − | 0.303726i | −0.198260 | − | 0.980150i | \(-0.563529\pi\) |
−0.736513 | + | 0.676424i | \(0.763529\pi\) | |||||||
\(62\) | −22143.7 | + | 16088.4i | −0.731597 | + | 0.531536i | ||||
\(63\) | 17608.1 | − | 25103.3i | 0.558936 | − | 0.796856i | ||||
\(64\) | −6362.11 | − | 19580.6i | −0.194156 | − | 0.597552i | ||||
\(65\) | 5255.46 | 0.154286 | ||||||||
\(66\) | 26907.1 | + | 56286.6i | 0.760339 | + | 1.59054i | ||||
\(67\) | −28557.0 | −0.777186 | −0.388593 | − | 0.921409i | \(-0.627039\pi\) | ||||
−0.388593 | + | 0.921409i | \(0.627039\pi\) | |||||||
\(68\) | 28053.1 | + | 86338.5i | 0.735712 | + | 2.26429i | ||||
\(69\) | 32284.6 | − | 45222.3i | 0.816344 | − | 1.14348i | ||||
\(70\) | −17548.2 | + | 12749.5i | −0.428043 | + | 0.310992i | ||||
\(71\) | −65896.0 | − | 21410.9i | −1.55136 | − | 0.504068i | −0.596879 | − | 0.802331i | \(-0.703593\pi\) |
−0.954484 | + | 0.298263i | \(0.903593\pi\) | |||||||
\(72\) | 25187.3 | − | 82143.5i | 0.572598 | − | 1.86742i | ||||
\(73\) | 18393.0 | + | 25315.8i | 0.403966 | + | 0.556012i | 0.961734 | − | 0.273985i | \(-0.0883419\pi\) |
−0.557768 | + | 0.829997i | \(0.688342\pi\) | |||||||
\(74\) | −1593.17 | − | 1157.51i | −0.0338207 | − | 0.0245722i | ||||
\(75\) | 13970.5 | + | 41810.2i | 0.286787 | + | 0.858281i | ||||
\(76\) | − | 182739.i | − | 3.62909i | ||||||
\(77\) | 49721.6 | + | 9599.18i | 0.955692 | + | 0.184505i | ||||
\(78\) | 394.250 | + | 47397.6i | 0.00733728 | + | 0.882103i | ||||
\(79\) | −80830.9 | + | 26263.6i | −1.45717 | + | 0.473463i | −0.927204 | − | 0.374557i | \(-0.877795\pi\) |
−0.529964 | + | 0.848020i | \(0.677795\pi\) | |||||||
\(80\) | −13855.2 | + | 19070.0i | −0.242040 | + | 0.333139i | ||||
\(81\) | −46590.6 | + | 36278.0i | −0.789017 | + | 0.614372i | ||||
\(82\) | −51878.9 | + | 159667.i | −0.852033 | + | 2.62229i | ||||
\(83\) | −22963.6 | + | 70674.6i | −0.365885 | + | 1.12608i | 0.583541 | + | 0.812084i | \(0.301667\pi\) |
−0.949425 | + | 0.313993i | \(0.898333\pi\) | |||||||
\(84\) | −78880.4 | − | 106692.i | −1.21975 | − | 1.64981i | ||||
\(85\) | −13635.2 | + | 18767.3i | −0.204698 | + | 0.281743i | ||||
\(86\) | 62192.9 | − | 20207.7i | 0.906765 | − | 0.294626i | ||||
\(87\) | −59141.2 | + | 491.932i | −0.837706 | + | 0.00696798i | ||||
\(88\) | 140813. | − | 17471.8i | 1.93837 | − | 0.240509i | ||||
\(89\) | − | 49217.1i | − | 0.658629i | −0.944220 | − | 0.329315i | \(-0.893182\pi\) | ||
0.944220 | − | 0.329315i | \(-0.106818\pi\) | |||||||
\(90\) | 39506.1 | − | 13566.9i | 0.514112 | − | 0.176553i | ||||
\(91\) | 31126.0 | + | 22614.4i | 0.394021 | + | 0.286273i | ||||
\(92\) | −141324. | − | 194516.i | −1.74080 | − | 2.39600i | ||||
\(93\) | 12882.2 | − | 40798.9i | 0.154448 | − | 0.489149i | ||||
\(94\) | 109438. | + | 35558.6i | 1.27746 | + | 0.415073i | ||||
\(95\) | 37777.6 | − | 27447.0i | 0.429462 | − | 0.312023i | ||||
\(96\) | −29480.3 | − | 21046.3i | −0.326477 | − | 0.233076i | ||||
\(97\) | −7336.07 | − | 22578.1i | −0.0791651 | − | 0.243645i | 0.903639 | − | 0.428294i | \(-0.140885\pi\) |
−0.982805 | + | 0.184649i | \(0.940885\pi\) | |||||||
\(98\) | 8818.20 | 0.0927502 | ||||||||
\(99\) | −86124.8 | − | 45743.0i | −0.883162 | − | 0.469069i | ||||
\(100\) | 190753. | 1.90753 | ||||||||
\(101\) | −13737.8 | − | 42280.6i | −0.134003 | − | 0.412418i | 0.861431 | − | 0.507875i | \(-0.169569\pi\) |
−0.995434 | + | 0.0954569i | \(0.969569\pi\) | |||||||
\(102\) | −170280. | − | 121564.i | −1.62055 | − | 1.15693i | ||||
\(103\) | 43715.1 | − | 31760.9i | 0.406012 | − | 0.294985i | −0.365973 | − | 0.930625i | \(-0.619264\pi\) |
0.771985 | + | 0.635640i | \(0.219264\pi\) | |||||||
\(104\) | 102528. | + | 33313.3i | 0.929520 | + | 0.302019i | ||||
\(105\) | 10208.7 | − | 32331.8i | 0.0903645 | − | 0.286192i | ||||
\(106\) | −76975.3 | − | 105947.i | −0.665406 | − | 0.915853i | ||||
\(107\) | 50478.6 | + | 36674.9i | 0.426234 | + | 0.309677i | 0.780141 | − | 0.625603i | \(-0.215147\pi\) |
−0.353907 | + | 0.935281i | \(0.615147\pi\) | |||||||
\(108\) | 84997.5 | + | 240965.i | 0.701208 | + | 1.98790i | ||||
\(109\) | 91208.5i | 0.735307i | 0.929963 | + | 0.367654i | \(0.119839\pi\) | ||||
−0.929963 | + | 0.367654i | \(0.880161\pi\) | |||||||
\(110\) | 47111.1 | + | 50391.6i | 0.371229 | + | 0.397079i | ||||
\(111\) | 3078.09 | − | 25.6033i | 0.0237123 | − | 0.000197237i | ||||
\(112\) | −164117. | + | 53324.9i | −1.23626 | + | 0.401685i | ||||
\(113\) | −60501.1 | + | 83272.6i | −0.445725 | + | 0.613488i | −0.971472 | − | 0.237153i | \(-0.923786\pi\) |
0.525747 | + | 0.850641i | \(0.323786\pi\) | |||||||
\(114\) | 250371. | + | 338647.i | 1.80436 | + | 2.44053i | ||||
\(115\) | 18985.7 | − | 58431.9i | 0.133870 | − | 0.412008i | ||||
\(116\) | −79084.8 | + | 243398.i | −0.545693 | + | 1.67947i | ||||
\(117\) | −44540.4 | − | 59207.8i | −0.300808 | − | 0.399866i | ||||
\(118\) | −156426. | + | 215302.i | −1.03420 | + | 1.42346i | ||||
\(119\) | −161512. | + | 52478.4i | −1.04553 | + | 0.339714i | ||||
\(120\) | −790.200 | − | 94999.6i | −0.00500938 | − | 0.602238i | ||||
\(121\) | 10825.1 | − | 160687.i | 0.0672150 | − | 0.997739i | ||||
\(122\) | − | 284863.i | − | 1.73275i | ||||||
\(123\) | −83165.9 | − | 248895.i | −0.495658 | − | 1.48338i | ||||
\(124\) | −149778. | − | 108820.i | −0.874771 | − | 0.635558i | ||||
\(125\) | 60311.6 | + | 83011.9i | 0.345244 | + | 0.475188i | ||||
\(126\) | 292358. | + | 89644.2i | 1.64055 | + | 0.503033i | ||||
\(127\) | −24025.4 | − | 7806.32i | −0.132179 | − | 0.0429474i | 0.242181 | − | 0.970231i | \(-0.422137\pi\) |
−0.374359 | + | 0.927284i | \(0.622137\pi\) | |||||||
\(128\) | 226263. | − | 164390.i | 1.22064 | − | 0.886848i | ||||
\(129\) | −59392.2 | + | 83192.8i | −0.314235 | + | 0.440161i | ||||
\(130\) | 16195.9 | + | 49845.8i | 0.0840516 | + | 0.258684i | ||||
\(131\) | −71268.0 | −0.362841 | −0.181420 | − | 0.983406i | \(-0.558069\pi\) | ||||
−0.181420 | + | 0.983406i | \(0.558069\pi\) | |||||||
\(132\) | −305844. | + | 290738.i | −1.52779 | + | 1.45233i | ||||
\(133\) | 341847. | 1.67572 | ||||||||
\(134\) | −88004.8 | − | 270851.i | −0.423394 | − | 1.30307i | ||||
\(135\) | −37048.1 | + | 53763.9i | −0.174957 | + | 0.253896i | ||||
\(136\) | −384969. | + | 279696.i | −1.78476 | + | 1.29670i | ||||
\(137\) | 235626. | + | 76559.5i | 1.07256 | + | 0.348496i | 0.791484 | − | 0.611190i | \(-0.209309\pi\) |
0.281076 | + | 0.959686i | \(0.409309\pi\) | |||||||
\(138\) | 528406. | + | 166843.i | 2.36195 | + | 0.745781i | ||||
\(139\) | 28178.0 | + | 38783.7i | 0.123701 | + | 0.170260i | 0.866376 | − | 0.499392i | \(-0.166443\pi\) |
−0.742675 | + | 0.669652i | \(0.766443\pi\) | |||||||
\(140\) | −118694. | − | 86236.5i | −0.511811 | − | 0.371853i | ||||
\(141\) | −170596. | + | 57003.1i | −0.722639 | + | 0.241463i | ||||
\(142\) | − | 690978.i | − | 2.87570i | ||||||
\(143\) | 59184.8 | − | 107094.i | 0.242030 | − | 0.437949i | ||||
\(144\) | 332265. | − | 5527.90i | 1.33530 | − | 0.0222154i | ||||
\(145\) | −62196.0 | + | 20208.7i | −0.245664 | + | 0.0798212i | ||||
\(146\) | −183427. | + | 252466.i | −0.712167 | + | 0.980214i | ||||
\(147\) | −11083.6 | + | 8194.43i | −0.0423047 | + | 0.0312770i | ||||
\(148\) | 4116.09 | − | 12668.0i | 0.0154465 | − | 0.0475395i | ||||
\(149\) | −59646.3 | + | 183572.i | −0.220099 | + | 0.677395i | 0.778653 | + | 0.627454i | \(0.215903\pi\) |
−0.998752 | + | 0.0499404i | \(0.984097\pi\) | |||||||
\(150\) | −353499. | + | 261352.i | −1.28280 | + | 0.948413i | ||||
\(151\) | 247390. | − | 340504.i | 0.882959 | − | 1.21529i | −0.0926334 | − | 0.995700i | \(-0.529528\pi\) |
0.975593 | − | 0.219589i | \(-0.0704715\pi\) | |||||||
\(152\) | 910978. | − | 295995.i | 3.19815 | − | 1.03914i | ||||
\(153\) | 326990. | − | 5440.15i | 1.12929 | − | 0.0187881i | ||||
\(154\) | 62184.0 | + | 501170.i | 0.211289 | + | 1.70288i | ||||
\(155\) | − | 47308.2i | − | 0.158164i | ||||||
\(156\) | −304078. | + | 101605.i | −1.00040 | + | 0.334274i | ||||
\(157\) | −1878.51 | − | 1364.82i | −0.00608225 | − | 0.00441902i | 0.584740 | − | 0.811221i | \(-0.301197\pi\) |
−0.590822 | + | 0.806802i | \(0.701197\pi\) | |||||||
\(158\) | −498197. | − | 685710.i | −1.58766 | − | 2.18523i | ||||
\(159\) | 195204. | + | 61635.2i | 0.612343 | + | 0.193346i | ||||
\(160\) | −38091.6 | − | 12376.7i | −0.117633 | − | 0.0382213i | ||||
\(161\) | 363879. | − | 264373.i | 1.10635 | − | 0.803809i | ||||
\(162\) | −487661. | − | 330094.i | −1.45993 | − | 0.988211i | ||||
\(163\) | 16782.3 | + | 51650.6i | 0.0494746 | + | 0.152267i | 0.972742 | − | 0.231892i | \(-0.0744915\pi\) |
−0.923267 | + | 0.384159i | \(0.874492\pi\) | |||||||
\(164\) | −1.13555e6 | −3.29683 | ||||||||
\(165\) | −106041. | − | 19558.7i | −0.303225 | − | 0.0559282i | ||||
\(166\) | −741086. | −2.08737 | ||||||||
\(167\) | 27781.1 | + | 85501.4i | 0.0770829 | + | 0.237237i | 0.982172 | − | 0.187986i | \(-0.0601958\pi\) |
−0.905089 | + | 0.425222i | \(0.860196\pi\) | |||||||
\(168\) | 404105. | − | 566045.i | 1.10464 | − | 1.54731i | ||||
\(169\) | −225173. | + | 163598.i | −0.606457 | + | 0.440617i | ||||
\(170\) | −220019. | − | 71488.6i | −0.583900 | − | 0.189721i | ||||
\(171\) | −629385. | − | 192985.i | −1.64599 | − | 0.504700i | ||||
\(172\) | 259987. | + | 357841.i | 0.670085 | + | 0.922293i | ||||
\(173\) | 374003. | + | 271729.i | 0.950080 | + | 0.690274i | 0.950826 | − | 0.309726i | \(-0.100237\pi\) |
−0.000745610 | 1.00000i | \(0.500237\pi\) | ||||||||
\(174\) | −186923. | − | 559413.i | −0.468046 | − | 1.40075i | ||||
\(175\) | 356839.i | 0.880801i | ||||||||
\(176\) | 232570. | + | 497093.i | 0.565941 | + | 1.20964i | ||||
\(177\) | −3460.06 | − | 415976.i | −0.00830137 | − | 0.998009i | ||||
\(178\) | 466803. | − | 151674.i | 1.10429 | − | 0.358806i | ||||
\(179\) | −416368. | + | 573081.i | −0.971280 | + | 1.33685i | −0.0298823 | + | 0.999553i | \(0.509513\pi\) |
−0.941398 | + | 0.337299i | \(0.890487\pi\) | |||||||
\(180\) | 169848. | + | 225780.i | 0.390732 | + | 0.519403i | ||||
\(181\) | 21713.4 | − | 66826.9i | 0.0492641 | − | 0.151619i | −0.923398 | − | 0.383843i | \(-0.874600\pi\) |
0.972662 | + | 0.232224i | \(0.0746002\pi\) | |||||||
\(182\) | −118566. | + | 364908.i | −0.265327 | + | 0.816592i | ||||
\(183\) | 264713. | + | 358045.i | 0.584315 | + | 0.790332i | ||||
\(184\) | 740777. | − | 1.01959e6i | 1.61303 | − | 2.22015i | ||||
\(185\) | 3237.08 | − | 1051.79i | 0.00695384 | − | 0.00225944i | ||||
\(186\) | 426660. | − | 3548.93i | 0.904272 | − | 0.00752168i | ||||
\(187\) | 228878. | + | 489202.i | 0.478629 | + | 1.02302i | ||||
\(188\) | 778322.i | 1.60607i | ||||||||
\(189\) | −450768. | + | 159003.i | −0.917908 | + | 0.323781i | ||||
\(190\) | 376743. | + | 273720.i | 0.757115 | + | 0.550076i | ||||
\(191\) | 34495.7 | + | 47479.3i | 0.0684198 | + | 0.0941718i | 0.841856 | − | 0.539703i | \(-0.181463\pi\) |
−0.773436 | + | 0.633875i | \(0.781463\pi\) | |||||||
\(192\) | −96633.3 | + | 306045.i | −0.189179 | + | 0.599146i | ||||
\(193\) | 27977.4 | + | 9090.41i | 0.0540648 | + | 0.0175667i | 0.335925 | − | 0.941889i | \(-0.390951\pi\) |
−0.281860 | + | 0.959456i | \(0.590951\pi\) | |||||||
\(194\) | 191536. | − | 139159.i | 0.365381 | − | 0.265465i | ||||
\(195\) | −66676.5 | − | 47601.1i | −0.125570 | − | 0.0896458i | ||||
\(196\) | 18431.5 | + | 56726.2i | 0.0342704 | + | 0.105474i | ||||
\(197\) | 722159. | 1.32577 | 0.662884 | − | 0.748722i | \(-0.269332\pi\) | ||||
0.662884 | + | 0.748722i | \(0.269332\pi\) | |||||||
\(198\) | 168440. | − | 957824.i | 0.305339 | − | 1.73629i | ||||
\(199\) | −398686. | −0.713671 | −0.356835 | − | 0.934167i | \(-0.616144\pi\) | ||||
−0.356835 | + | 0.934167i | \(0.616144\pi\) | |||||||
\(200\) | 308976. | + | 950931.i | 0.546198 | + | 1.68102i | ||||
\(201\) | 362305. | + | 258653.i | 0.632535 | + | 0.451573i | ||||
\(202\) | 358677. | − | 260594.i | 0.618480 | − | 0.449352i | ||||
\(203\) | −455321. | − | 147943.i | −0.775492 | − | 0.251973i | ||||
\(204\) | 426094. | − | 1.34947e6i | 0.716853 | − | 2.27033i | ||||
\(205\) | −170557. | − | 234752.i | −0.283456 | − | 0.390143i | ||||
\(206\) | 435957. | + | 316741.i | 0.715773 | + | 0.520040i | ||||
\(207\) | −819197. | + | 281323.i | −1.32881 | + | 0.456330i | ||||
\(208\) | 416960.i | 0.668246i | ||||||||
\(209\) | −133869. | − | 1.07891e6i | −0.211990 | − | 1.70852i | ||||
\(210\) | 338114. | − | 2812.41i | 0.529072 | − | 0.00440079i | ||||
\(211\) | 295619. | − | 96052.5i | 0.457116 | − | 0.148526i | −0.0714029 | − | 0.997448i | \(-0.522748\pi\) |
0.528519 | + | 0.848922i | \(0.322748\pi\) | |||||||
\(212\) | 520653. | − | 716618.i | 0.795626 | − | 1.09509i | ||||
\(213\) | 642101. | + | 868492.i | 0.969738 | + | 1.31165i | ||||
\(214\) | −192284. | + | 591790.i | −0.287018 | + | 0.883351i | ||||
\(215\) | −34926.9 | + | 107494.i | −0.0515304 | + | 0.158594i | ||||
\(216\) | −1.06356e6 | + | 814031.i | −1.55106 | + | 1.18715i | ||||
\(217\) | 203568. | − | 280187.i | 0.293468 | − | 0.403924i | ||||
\(218\) | −865074. | + | 281080.i | −1.23285 | + | 0.400579i | ||||
\(219\) | −4057.30 | − | 487778.i | −0.00571646 | − | 0.687245i | ||||
\(220\) | −225692. | + | 408386.i | −0.314384 | + | 0.568871i | ||||
\(221\) | 410341.i | 0.565151i | ||||||||
\(222\) | 9728.67 | + | 29115.5i | 0.0132486 | + | 0.0396498i | ||||
\(223\) | −856628. | − | 622377.i | −1.15353 | − | 0.838091i | −0.164587 | − | 0.986363i | \(-0.552629\pi\) |
−0.988947 | + | 0.148271i | \(0.952629\pi\) | |||||||
\(224\) | −172344. | − | 237211.i | −0.229497 | − | 0.315875i | ||||
\(225\) | 201449. | − | 656988.i | 0.265283 | − | 0.865169i | ||||
\(226\) | −976253. | − | 317204.i | −1.27143 | − | 0.413112i | ||||
\(227\) | −242231. | + | 175991.i | −0.312008 | + | 0.226687i | −0.732758 | − | 0.680490i | \(-0.761767\pi\) |
0.420750 | + | 0.907177i | \(0.361767\pi\) | |||||||
\(228\) | −1.65515e6 | + | 2.31843e6i | −2.10863 | + | 2.95363i | ||||
\(229\) | 151421. | + | 466026.i | 0.190808 | + | 0.587248i | 1.00000 | 0.000297029i | \(-9.45474e-5\pi\) | |
−0.809192 | + | 0.587545i | \(0.800095\pi\) | |||||||
\(230\) | 612711. | 0.763723 | ||||||||
\(231\) | −543878. | − | 572136.i | −0.670613 | − | 0.705455i | ||||
\(232\) | −1.34147e6 | −1.63629 | ||||||||
\(233\) | −273321. | − | 841197.i | −0.329825 | − | 1.01510i | −0.969215 | − | 0.246215i | \(-0.920813\pi\) |
0.639390 | − | 0.768883i | \(-0.279187\pi\) | |||||||
\(234\) | 424299. | − | 604909.i | 0.506562 | − | 0.722188i | ||||
\(235\) | −160902. | + | 116902.i | −0.190061 | + | 0.138087i | ||||
\(236\) | −1.71197e6 | − | 556251.i | −2.00085 | − | 0.650116i | ||||
\(237\) | 1.26339e6 | + | 398914.i | 1.46106 | + | 0.461326i | ||||
\(238\) | −995471. | − | 1.37015e6i | −1.13916 | − | 1.56792i | ||||
\(239\) | 609646. | + | 442934.i | 0.690372 | + | 0.501585i | 0.876782 | − | 0.480887i | \(-0.159685\pi\) |
−0.186410 | + | 0.982472i | \(0.559685\pi\) | |||||||
\(240\) | 348507. | − | 116450.i | 0.390556 | − | 0.130501i | ||||
\(241\) | 507817.i | 0.563202i | 0.959532 | + | 0.281601i | \(0.0908655\pi\) | ||||
−0.959532 | + | 0.281601i | \(0.909135\pi\) | |||||||
\(242\) | 1.55741e6 | − | 392522.i | 1.70948 | − | 0.430849i | ||||
\(243\) | 919687. | − | 38270.7i | 0.999135 | − | 0.0415767i | ||||
\(244\) | 1.83248e6 | − | 595409.i | 1.97045 | − | 0.640237i | ||||
\(245\) | −8958.62 | + | 12330.5i | −0.00953512 | + | 0.0131240i | ||||
\(246\) | 2.10437e6 | − | 1.55582e6i | 2.21709 | − | 1.63916i | ||||
\(247\) | 255247. | − | 785570.i | 0.266206 | − | 0.819299i | ||||
\(248\) | 299877. | − | 922927.i | 0.309610 | − | 0.952880i | ||||
\(249\) | 931473. | − | 688665.i | 0.952077 | − | 0.703897i | ||||
\(250\) | −601468. | + | 827850.i | −0.608643 | + | 0.837725i | ||||
\(251\) | −1.43568e6 | + | 466480.i | −1.43838 | + | 0.467357i | −0.921391 | − | 0.388638i | \(-0.872946\pi\) |
−0.516985 | + | 0.855994i | \(0.672946\pi\) | |||||||
\(252\) | 34406.5 | + | 2.06807e6i | 0.0341302 | + | 2.05146i | ||||
\(253\) | −976893. | − | 1.04492e6i | −0.959502 | − | 1.02632i | ||||
\(254\) | − | 251927.i | − | 0.245014i | ||||||
\(255\) | 342975. | − | 114602.i | 0.330302 | − | 0.110367i | ||||
\(256\) | 1.72345e6 | + | 1.25216e6i | 1.64361 | + | 1.19415i | ||||
\(257\) | −622580. | − | 856908.i | −0.587980 | − | 0.809285i | 0.406562 | − | 0.913623i | \(-0.366728\pi\) |
−0.994542 | + | 0.104338i | \(0.966728\pi\) | |||||||
\(258\) | −972079. | − | 306932.i | −0.909185 | − | 0.287074i | ||||
\(259\) | 23697.8 | + | 7699.90i | 0.0219513 | + | 0.00713240i | ||||
\(260\) | −286799. | + | 208371.i | −0.263114 | + | 0.191163i | ||||
\(261\) | 754786. | + | 529427.i | 0.685839 | + | 0.481066i | ||||
\(262\) | −219628. | − | 675947.i | −0.197667 | − | 0.608358i | ||||
\(263\) | 295852. | 0.263745 | 0.131873 | − | 0.991267i | \(-0.457901\pi\) | ||||
0.131873 | + | 0.991267i | \(0.457901\pi\) | |||||||
\(264\) | −1.94476e6 | − | 1.05374e6i | −1.71734 | − | 0.930518i | ||||
\(265\) | 226347. | 0.197998 | ||||||||
\(266\) | 1.05348e6 | + | 3.24227e6i | 0.912896 | + | 2.80961i | ||||
\(267\) | −445782. | + | 624422.i | −0.382687 | + | 0.536044i | ||||
\(268\) | 1.55840e6 | − | 1.13224e6i | 1.32538 | − | 0.962948i | ||||
\(269\) | −1.15363e6 | − | 374838.i | −0.972046 | − | 0.315837i | −0.220404 | − | 0.975409i | \(-0.570738\pi\) |
−0.751642 | + | 0.659572i | \(0.770738\pi\) | |||||||
\(270\) | −624100. | − | 185700.i | −0.521008 | − | 0.155025i | ||||
\(271\) | 901471. | + | 1.24077e6i | 0.745639 | + | 1.02628i | 0.998274 | + | 0.0587225i | \(0.0187027\pi\) |
−0.252635 | + | 0.967562i | \(0.581297\pi\) | |||||||
\(272\) | −1.48897e6 | − | 1.08180e6i | −1.22029 | − | 0.886592i | ||||
\(273\) | −190070. | − | 568833.i | −0.154350 | − | 0.461932i | ||||
\(274\) | 2.47075e6i | 1.98816i | ||||||||
\(275\) | 1.12623e6 | − | 139740.i | 0.898040 | − | 0.111427i | ||||
\(276\) | 31174.7 | + | 3.74789e6i | 0.0246337 | + | 2.96152i | ||||
\(277\) | −438937. | + | 142619.i | −0.343719 | + | 0.111681i | −0.475789 | − | 0.879559i | \(-0.657837\pi\) |
0.132070 | + | 0.991240i | \(0.457837\pi\) | |||||||
\(278\) | −281010. | + | 386777.i | −0.218077 | + | 0.300157i | ||||
\(279\) | −532972. | + | 400940.i | −0.409915 | + | 0.308368i | ||||
\(280\) | 237643. | − | 731390.i | 0.181147 | − | 0.557512i | ||||
\(281\) | −3223.82 | + | 9921.89i | −0.00243559 | + | 0.00749598i | −0.952267 | − | 0.305267i | \(-0.901254\pi\) |
0.949831 | + | 0.312763i | \(0.101254\pi\) | |||||||
\(282\) | −1.06638e6 | − | 1.44236e6i | −0.798527 | − | 1.08007i | ||||
\(283\) | −470286. | + | 647293.i | −0.349056 | + | 0.480435i | −0.947059 | − | 0.321059i | \(-0.895961\pi\) |
0.598003 | + | 0.801494i | \(0.295961\pi\) | |||||||
\(284\) | 4.44496e6 | − | 1.44426e6i | 3.27018 | − | 1.06255i | ||||
\(285\) | −727888. | + | 6054.52i | −0.530826 | + | 0.00441538i | ||||
\(286\) | 1.19813e6 | + | 231309.i | 0.866140 | + | 0.167216i | ||||
\(287\) | − | 2.12425e6i | − | 1.52230i | ||||||
\(288\) | 183394. | + | 534032.i | 0.130288 | + | 0.379390i | ||||
\(289\) | −316642. | − | 230054.i | −0.223010 | − | 0.162026i | ||||
\(290\) | −383342. | − | 527625.i | −0.267665 | − | 0.368409i | ||||
\(291\) | −111427. | + | 352897.i | −0.0771359 | + | 0.244295i | ||||
\(292\) | −2.00747e6 | − | 652267.i | −1.37782 | − | 0.447680i | ||||
\(293\) | −910633. | + | 661613.i | −0.619690 | + | 0.450231i | −0.852813 | − | 0.522216i | \(-0.825105\pi\) |
0.233124 | + | 0.972447i | \(0.425105\pi\) | |||||||
\(294\) | −111877. | − | 79870.4i | −0.0754873 | − | 0.0538912i | ||||
\(295\) | −142140. | − | 437462.i | −0.0950958 | − | 0.292675i | ||||
\(296\) | 69818.8 | 0.0463173 | ||||||||
\(297\) | 678359. | + | 1.36042e6i | 0.446240 | + | 0.894913i | ||||
\(298\) | −1.92492e6 | −1.25566 | ||||||||
\(299\) | −335837. | − | 1.03360e6i | −0.217245 | − | 0.668612i | ||||
\(300\) | −2.42011e6 | − | 1.72774e6i | −1.55250 | − | 1.10835i | ||||
\(301\) | −669407. | + | 486352.i | −0.425867 | + | 0.309410i | ||||
\(302\) | 3.99192e6 | + | 1.29705e6i | 2.51863 | + | 0.818353i | ||||
\(303\) | −208662. | + | 660848.i | −0.130568 | + | 0.413518i | ||||
\(304\) | 2.17761e6 | + | 2.99722e6i | 1.35144 | + | 1.86009i | ||||
\(305\) | 398324. | + | 289399.i | 0.245181 | + | 0.178134i | ||||
\(306\) | 1.05929e6 | + | 3.08460e6i | 0.646714 | + | 1.88320i | ||||
\(307\) | − | 1.91538e6i | − | 1.15987i | −0.814663 | − | 0.579935i | \(-0.803078\pi\) | ||
0.814663 | − | 0.579935i | \(-0.196922\pi\) | |||||||
\(308\) | −3.09398e6 | + | 1.44755e6i | −1.85841 | + | 0.869472i | ||||
\(309\) | −842291. | + | 7006.12i | −0.501841 | + | 0.00417428i | ||||
\(310\) | 448698. | − | 145791.i | 0.265185 | − | 0.0861640i | ||||
\(311\) | 1.41391e6 | − | 1.94608e6i | 0.828934 | − | 1.14093i | −0.159187 | − | 0.987248i | \(-0.550887\pi\) |
0.988121 | − | 0.153681i | \(-0.0491128\pi\) | |||||||
\(312\) | −999048. | − | 1.35129e6i | −0.581032 | − | 0.785891i | ||||
\(313\) | −427646. | + | 1.31616e6i | −0.246731 | + | 0.759360i | 0.748616 | + | 0.663004i | \(0.230719\pi\) |
−0.995347 | + | 0.0963562i | \(0.969281\pi\) | |||||||
\(314\) | 7155.67 | − | 22022.9i | 0.00409568 | − | 0.0126052i | ||||
\(315\) | −422363. | + | 317732.i | −0.239833 | + | 0.180420i | ||||
\(316\) | 3.36976e6 | − | 4.63808e6i | 1.89837 | − | 2.61288i | ||||
\(317\) | −2.74938e6 | + | 893329.i | −1.53669 | + | 0.499302i | −0.950462 | − | 0.310841i | \(-0.899389\pi\) |
−0.586232 | + | 0.810143i | \(0.699389\pi\) | |||||||
\(318\) | 16979.9 | + | 2.04137e6i | 0.00941604 | + | 1.13202i | ||||
\(319\) | −288620. | + | 1.49499e6i | −0.158800 | + | 0.822546i | ||||
\(320\) | 354873.i | 0.193731i | ||||||||
\(321\) | −308247. | − | 922505.i | −0.166969 | − | 0.499697i | ||||
\(322\) | 3.62884e6 | + | 2.63651e6i | 1.95042 | + | 1.41706i | ||||
\(323\) | 2.14304e6 | + | 2.94964e6i | 1.14294 | + | 1.57312i | ||||
\(324\) | 1.10415e6 | − | 3.82700e6i | 0.584342 | − | 2.02533i | ||||
\(325\) | 820023. | + | 266442.i | 0.430643 | + | 0.139925i | ||||
\(326\) | −438165. | + | 318346.i | −0.228346 | + | 0.165903i | ||||
\(327\) | 826116. | − | 1.15717e6i | 0.427240 | − | 0.598451i | ||||
\(328\) | −1.83933e6 | − | 5.66086e6i | −0.944004 | − | 2.90535i | ||||
\(329\) | −1.45599e6 | −0.741600 | ||||||||
\(330\) | −141284. | − | 1.06603e6i | −0.0714178 | − | 0.538871i | ||||
\(331\) | −1.08115e6 | −0.542394 | −0.271197 | − | 0.962524i | \(-0.587419\pi\) | ||||
−0.271197 | + | 0.962524i | \(0.587419\pi\) | |||||||
\(332\) | −1.54899e6 | − | 4.76730e6i | −0.771264 | − | 2.37371i | ||||
\(333\) | −39283.9 | − | 27554.8i | −0.0194135 | − | 0.0136172i | ||||
\(334\) | −725331. | + | 526984.i | −0.355771 | + | 0.258482i | ||||
\(335\) | 468137. | + | 152107.i | 0.227909 | + | 0.0740520i | ||||
\(336\) | 2.56516e6 | + | 809945.i | 1.23956 | + | 0.391388i | ||||
\(337\) | 2.12194e6 | + | 2.92060e6i | 1.01779 | + | 1.40087i | 0.913742 | + | 0.406295i | \(0.133180\pi\) |
0.104048 | + | 0.994572i | \(0.466820\pi\) | |||||||
\(338\) | −2.24558e6 | − | 1.63151e6i | −1.06915 | − | 0.776779i | ||||
\(339\) | 1.52182e6 | − | 508503.i | 0.719225 | − | 0.240322i | ||||
\(340\) | − | 1.56478e6i | − | 0.734099i | ||||||
\(341\) | −964027. | − | 532765.i | −0.448955 | − | 0.248113i | ||||
\(342\) | −109208. | − | 6.56417e6i | −0.0504882 | − | 3.03469i | ||||
\(343\) | −2.12312e6 | + | 689842.i | −0.974403 | + | 0.316603i | ||||
\(344\) | −1.36277e6 | + | 1.87569e6i | −0.620905 | + | 0.854602i | ||||
\(345\) | −770118. | + | 569370.i | −0.348345 | + | 0.257541i | ||||
\(346\) | −1.42466e6 | + | 4.38466e6i | −0.639767 | + | 1.96900i | ||||
\(347\) | −120889. | + | 372057.i | −0.0538967 | + | 0.165877i | −0.974382 | − | 0.224901i | \(-0.927794\pi\) |
0.920485 | + | 0.390778i | \(0.127794\pi\) | |||||||
\(348\) | 3.20792e6 | − | 2.37171e6i | 1.41996 | − | 1.04982i | ||||
\(349\) | 432812. | − | 595714.i | 0.190211 | − | 0.261803i | −0.703251 | − | 0.710942i | \(-0.748269\pi\) |
0.893462 | + | 0.449139i | \(0.148269\pi\) | |||||||
\(350\) | −3.38447e6 | + | 1.09968e6i | −1.47680 | + | 0.479840i | ||||
\(351\) | 28816.9 | + | 1.15460e6i | 0.0124847 | + | 0.500222i | ||||
\(352\) | −681179. | + | 636834.i | −0.293025 | + | 0.273949i | ||||
\(353\) | 456511.i | 0.194991i | 0.995236 | + | 0.0974956i | \(0.0310832\pi\) | ||||
−0.995236 | + | 0.0974956i | \(0.968917\pi\) | |||||||
\(354\) | 3.93469e6 | − | 1.31474e6i | 1.66879 | − | 0.557611i | ||||
\(355\) | 966195. | + | 701981.i | 0.406906 | + | 0.295634i | ||||
\(356\) | 1.95139e6 | + | 2.68586e6i | 0.816054 | + | 1.12320i | ||||
\(357\) | 2.52444e6 | + | 797087.i | 1.04832 | + | 0.331006i | ||||
\(358\) | −6.71856e6 | − | 2.18299e6i | −2.77057 | − | 0.900212i | ||||
\(359\) | 2.72419e6 | − | 1.97924e6i | 1.11558 | − | 0.810517i | 0.132047 | − | 0.991243i | \(-0.457845\pi\) |
0.983533 | + | 0.180727i | \(0.0578450\pi\) | |||||||
\(360\) | −850429. | + | 1.21243e6i | −0.345845 | + | 0.493059i | ||||
\(361\) | −1.50276e6 | − | 4.62502e6i | −0.606906 | − | 1.86786i | ||||
\(362\) | 700739. | 0.281051 | ||||||||
\(363\) | −1.59275e6 | + | 1.94060e6i | −0.634427 | + | 0.772983i | ||||
\(364\) | −2.59522e6 | −1.02665 | ||||||||
\(365\) | −166675. | − | 512973.i | −0.0654844 | − | 0.201540i | ||||
\(366\) | −2.58013e6 | + | 3.61408e6i | −1.00679 | + | 1.41025i | ||||
\(367\) | 1.27740e6 | − | 928086.i | 0.495065 | − | 0.359686i | −0.312064 | − | 0.950061i | \(-0.601020\pi\) |
0.807129 | + | 0.590375i | \(0.201020\pi\) | |||||||
\(368\) | 4.63591e6 | + | 1.50630e6i | 1.78449 | + | 0.579817i | ||||
\(369\) | −1.19922e6 | + | 3.91103e6i | −0.458493 | + | 1.49529i | ||||
\(370\) | 19951.6 | + | 27461.0i | 0.00757658 | + | 0.0104283i | ||||
\(371\) | 1.34057e6 | + | 973977.i | 0.505654 | + | 0.367379i | ||||
\(372\) | 914617. | + | 2.73722e6i | 0.342675 | + | 1.02554i | ||||
\(373\) | − | 1.28174e6i | − | 0.477012i | −0.971141 | − | 0.238506i | \(-0.923342\pi\) | ||
0.971141 | − | 0.238506i | \(-0.0766577\pi\) | |||||||
\(374\) | −3.93453e6 | + | 3.67839e6i | −1.45450 | + | 1.35981i | ||||
\(375\) | −13304.1 | − | 1.59945e6i | −0.00488549 | − | 0.587344i | ||||
\(376\) | −3.88004e6 | + | 1.26070e6i | −1.41536 | + | 0.459878i | ||||
\(377\) | −679950. | + | 935870.i | −0.246390 | + | 0.339127i | ||||
\(378\) | −2.89722e6 | − | 3.78534e6i | −1.04292 | − | 1.36262i | ||||
\(379\) | 1.30191e6 | − | 4.00687e6i | 0.465568 | − | 1.43287i | −0.392699 | − | 0.919667i | \(-0.628458\pi\) |
0.858267 | − | 0.513204i | \(-0.171542\pi\) | |||||||
\(380\) | −973347. | + | 2.99566e6i | −0.345787 | + | 1.06422i | ||||
\(381\) | 234107. | + | 316648.i | 0.0826232 | + | 0.111754i | ||||
\(382\) | −344015. | + | 473496.i | −0.120620 | + | 0.166019i | ||||
\(383\) | 4.85737e6 | − | 1.57825e6i | 1.69201 | − | 0.549769i | 0.704834 | − | 0.709373i | \(-0.251022\pi\) |
0.987181 | + | 0.159604i | \(0.0510217\pi\) | |||||||
\(384\) | −4.35957e6 | + | 36262.6i | −1.50874 | + | 0.0125496i | ||||
\(385\) | −763960. | − | 422199.i | −0.262675 | − | 0.145166i | ||||
\(386\) | 293368.i | 0.100218i | ||||||||
\(387\) | 1.50703e6 | − | 517534.i | 0.511498 | − | 0.175655i | ||||
\(388\) | 1.29553e6 | + | 941258.i | 0.436886 | + | 0.317416i | ||||
\(389\) | 319117. | + | 439227.i | 0.106924 | + | 0.147169i | 0.859126 | − | 0.511765i | \(-0.171008\pi\) |
−0.752201 | + | 0.658933i | \(0.771008\pi\) | |||||||
\(390\) | 245997. | − | 779092.i | 0.0818971 | − | 0.259374i | ||||
\(391\) | 4.56231e6 | + | 1.48239e6i | 1.50919 | + | 0.490365i | ||||
\(392\) | −252933. | + | 183766.i | −0.0831362 | + | 0.0604020i | ||||
\(393\) | 904184. | + | 645506.i | 0.295308 | + | 0.210824i | ||||
\(394\) | 2.22550e6 | + | 6.84938e6i | 0.722248 | + | 2.22285i | ||||
\(395\) | 1.46496e6 | 0.472425 | ||||||||
\(396\) | 6.51361e6 | − | 918457.i | 2.08730 | − | 0.294321i | ||||
\(397\) | 5.45539e6 | 1.73720 | 0.868600 | − | 0.495514i | \(-0.165020\pi\) | ||||
0.868600 | + | 0.495514i | \(0.165020\pi\) | |||||||
\(398\) | −1.22864e6 | − | 3.78136e6i | −0.388792 | − | 1.19658i | ||||
\(399\) | −4.33705e6 | − | 3.09626e6i | −1.36383 | − | 0.973656i | ||||
\(400\) | −3.12867e6 | + | 2.27311e6i | −0.977709 | + | 0.710347i | ||||
\(401\) | −2.81417e6 | − | 914381.i | −0.873957 | − | 0.283966i | −0.162511 | − | 0.986707i | \(-0.551959\pi\) |
−0.711446 | + | 0.702741i | \(0.751959\pi\) | |||||||
\(402\) | −1.33669e6 | + | 4.23341e6i | −0.412540 | + | 1.30655i | ||||
\(403\) | −491877. | − | 677011.i | −0.150867 | − | 0.207651i | ||||
\(404\) | 2.42606e6 | + | 1.76264e6i | 0.739517 | + | 0.537290i | ||||
\(405\) | 956997. | − | 346547.i | 0.289916 | − | 0.104984i | ||||
\(406\) | − | 4.77444e6i | − | 1.43750i | ||||||
\(407\) | 15021.7 | − | 77808.8i | 0.00449503 | − | 0.0232832i | ||||
\(408\) | 7.41748e6 | − | 61698.1i | 2.20600 | − | 0.0183494i | ||||
\(409\) | −181361. | + | 58927.9i | −0.0536088 | + | 0.0174186i | −0.335699 | − | 0.941969i | \(-0.608972\pi\) |
0.282090 | + | 0.959388i | \(0.408972\pi\) | |||||||
\(410\) | 1.70091e6 | − | 2.34110e6i | 0.499714 | − | 0.687798i | ||||
\(411\) | −2.29598e6 | − | 3.10549e6i | −0.670444 | − | 0.906829i | ||||
\(412\) | −1.12633e6 | + | 3.46649e6i | −0.326906 | + | 1.00611i | ||||
\(413\) | 1.04057e6 | − | 3.20254e6i | 0.300190 | − | 0.923890i | ||||
\(414\) | −5.19277e6 | − | 6.90277e6i | −1.48901 | − | 1.97935i | ||||
\(415\) | 752887. | − | 1.03626e6i | 0.214590 | − | 0.295358i | ||||
\(416\) | −673801. | + | 218931.i | −0.190897 | + | 0.0620261i | ||||
\(417\) | −6215.77 | − | 747274.i | −0.00175047 | − | 0.210446i | ||||
\(418\) | 9.82049e6 | − | 4.59460e6i | 2.74911 | − | 1.28620i | ||||
\(419\) | 5.26693e6i | 1.46562i | 0.680432 | + | 0.732811i | \(0.261792\pi\) | ||||
−0.680432 | + | 0.732811i | \(0.738208\pi\) | |||||||
\(420\) | 724805. | + | 2.16916e6i | 0.200492 | + | 0.600024i | ||||
\(421\) | 170205. | + | 123661.i | 0.0468024 | + | 0.0340039i | 0.610940 | − | 0.791677i | \(-0.290791\pi\) |
−0.564138 | + | 0.825680i | \(0.690791\pi\) | |||||||
\(422\) | 1.82203e6 | + | 2.50781e6i | 0.498053 | + | 0.685511i | ||||
\(423\) | 2.68067e6 | + | 821962.i | 0.728439 | + | 0.223358i | ||||
\(424\) | 4.41577e6 | + | 1.43477e6i | 1.19287 | + | 0.387586i | ||||
\(425\) | −3.07900e6 | + | 2.23703e6i | −0.826871 | + | 0.600757i | ||||
\(426\) | −6.25850e6 | + | 8.76651e6i | −1.67088 | + | 2.34047i | ||||
\(427\) | 1.11382e6 | + | 3.42799e6i | 0.295628 | + | 0.909851i | ||||
\(428\) | −4.20881e6 | −1.11058 | ||||||||
\(429\) | −1.72088e6 | + | 822644.i | −0.451447 | + | 0.215809i | ||||
\(430\) | −1.12717e6 | −0.293980 | ||||||||
\(431\) | 1.66690e6 | + | 5.13019e6i | 0.432231 | + | 1.33027i | 0.895897 | + | 0.444261i | \(0.146534\pi\) |
−0.463666 | + | 0.886010i | \(0.653466\pi\) | |||||||
\(432\) | −4.26555e6 | − | 2.93934e6i | −1.09968 | − | 0.757776i | ||||
\(433\) | −588032. | + | 427230.i | −0.150723 | + | 0.109507i | −0.660591 | − | 0.750746i | \(-0.729694\pi\) |
0.509868 | + | 0.860253i | \(0.329694\pi\) | |||||||
\(434\) | 3.28480e6 | + | 1.06730e6i | 0.837114 | + | 0.271995i | ||||
\(435\) | 972126. | + | 306947.i | 0.246320 | + | 0.0777751i | ||||
\(436\) | −3.61629e6 | − | 4.97739e6i | −0.911059 | − | 1.25397i | ||||
\(437\) | −7.81213e6 | − | 5.67585e6i | −1.95689 | − | 1.42176i | ||||
\(438\) | 4.61386e6 | − | 1.54168e6i | 1.14916 | − | 0.383980i | ||||
\(439\) | 3.86167e6i | 0.956344i | 0.878266 | + | 0.478172i | \(0.158700\pi\) | ||||
−0.878266 | + | 0.478172i | \(0.841300\pi\) | |||||||
\(440\) | −2.40142e6 | − | 463616.i | −0.591340 | − | 0.114163i | ||||
\(441\) | 214840. | − | 3574.29i | 0.0526039 | − | 0.000875172i | ||||
\(442\) | −3.89191e6 | + | 1.26456e6i | −0.947562 | + | 0.307881i | ||||
\(443\) | −3855.69 | + | 5306.90i | −0.000933454 | + | 0.00128479i | −0.809483 | − | 0.587143i | \(-0.800253\pi\) |
0.808550 | + | 0.588427i | \(0.200253\pi\) | |||||||
\(444\) | −166961. | + | 123439.i | −0.0401937 | + | 0.0297164i | ||||
\(445\) | −262152. | + | 806820.i | −0.0627556 | + | 0.193142i | ||||
\(446\) | 3.26309e6 | − | 1.00428e7i | 0.776769 | − | 2.39065i | ||||
\(447\) | 2.41944e6 | − | 1.78876e6i | 0.572724 | − | 0.423431i | ||||
\(448\) | −1.52703e6 | + | 2.10177e6i | −0.359461 | + | 0.494756i | ||||
\(449\) | −2.40360e6 | + | 780977.i | −0.562660 | + | 0.182819i | −0.576518 | − | 0.817085i | \(-0.695589\pi\) |
0.0138576 | + | 0.999904i | \(0.495589\pi\) | |||||||
\(450\) | 6.85206e6 | − | 113998.i | 1.59511 | − | 0.0265378i | ||||
\(451\) | −6.70442e6 | + | 831868.i | −1.55210 | + | 0.192581i | ||||
\(452\) | − | 6.94310e6i | − | 1.59848i | ||||||
\(453\) | −6.22276e6 | + | 2.07928e6i | −1.42475 | + | 0.476066i | ||||
\(454\) | −2.41570e6 | − | 1.75511e6i | −0.550050 | − | 0.399635i | ||||
\(455\) | −389797. | − | 536509.i | −0.0882694 | − | 0.121492i | ||||
\(456\) | −1.42386e7 | − | 4.49583e6i | −3.20668 | − | 1.01251i | ||||
\(457\) | −1.74901e6 | − | 568288.i | −0.391744 | − | 0.127285i | 0.106520 | − | 0.994311i | \(-0.466029\pi\) |
−0.498264 | + | 0.867025i | \(0.666029\pi\) | |||||||
\(458\) | −3.95342e6 | + | 2.87233e6i | −0.880662 | + | 0.639839i | ||||
\(459\) | −4.19784e6 | − | 2.89268e6i | −0.930023 | − | 0.640868i | ||||
\(460\) | 1.28066e6 | + | 3.94148e6i | 0.282189 | + | 0.868490i | ||||
\(461\) | 4.02082e6 | 0.881176 | 0.440588 | − | 0.897709i | \(-0.354770\pi\) | ||||
0.440588 | + | 0.897709i | \(0.354770\pi\) | |||||||
\(462\) | 3.75039e6 | − | 6.92162e6i | 0.817469 | − | 1.50870i | ||||
\(463\) | −1.13351e6 | −0.245739 | −0.122869 | − | 0.992423i | \(-0.539210\pi\) | ||||
−0.122869 | + | 0.992423i | \(0.539210\pi\) | |||||||
\(464\) | −1.60333e6 | − | 4.93454e6i | −0.345722 | − | 1.06402i | ||||
\(465\) | −428491. | + | 600203.i | −0.0918988 | + | 0.128726i | ||||
\(466\) | 7.13609e6 | − | 5.18467e6i | 1.52228 | − | 1.10600i | ||||
\(467\) | 166459. | + | 54085.8i | 0.0353196 | + | 0.0114760i | 0.326623 | − | 0.945155i | \(-0.394089\pi\) |
−0.291304 | + | 0.956631i | \(0.594089\pi\) | |||||||
\(468\) | 4.77814e6 | + | 1.46510e6i | 1.00843 | + | 0.309209i | ||||
\(469\) | 2.11807e6 | + | 2.91527e6i | 0.444640 | + | 0.611994i | ||||
\(470\) | −1.60463e6 | − | 1.16583e6i | −0.335065 | − | 0.243439i | ||||
\(471\) | 11471.1 | + | 34330.1i | 0.00238261 | + | 0.00713055i | ||||
\(472\) | − | 9.43537e6i | − | 1.94941i | ||||||
\(473\) | 1.79713e6 | + | 1.92228e6i | 0.369341 | + | 0.395060i | ||||
\(474\) | 109897. | + | 1.32121e7i | 0.0224668 | + | 2.70100i | ||||
\(475\) | 7.28605e6 | − | 2.36738e6i | 1.48169 | − | 0.481431i | ||||
\(476\) | 6.73327e6 | − | 9.26755e6i | 1.36210 | − | 1.87477i | ||||
\(477\) | −1.91831e6 | − | 2.55002e6i | −0.386031 | − | 0.513154i | ||||
\(478\) | −2.32228e6 | + | 7.14724e6i | −0.464884 | + | 1.43077i | ||||
\(479\) | 2.90160e6 | − | 8.93020e6i | 0.577828 | − | 1.77837i | −0.0485138 | − | 0.998823i | \(-0.515448\pi\) |
0.626342 | − | 0.779549i | \(-0.284552\pi\) | |||||||
\(480\) | 371171. | + | 502038.i | 0.0735310 | + | 0.0994565i | ||||
\(481\) | 35389.0 | − | 48708.8i | 0.00697438 | − | 0.00959941i | ||||
\(482\) | −4.81643e6 | + | 1.56495e6i | −0.944294 | + | 0.306820i | ||||
\(483\) | −7.01111e6 | + | 58318.0i | −1.36747 | + | 0.0113746i | ||||
\(484\) | 5.78026e6 | + | 9.19813e6i | 1.12159 | + | 1.78479i | ||||
\(485\) | 409200.i | 0.0789916i | ||||||||
\(486\) | 3.19720e6 | + | 8.60490e6i | 0.614016 | + | 1.65255i | ||||
\(487\) | −4.70612e6 | − | 3.41920e6i | −0.899168 | − | 0.653284i | 0.0390839 | − | 0.999236i | \(-0.487556\pi\) |
−0.938252 | + | 0.345952i | \(0.887556\pi\) | |||||||
\(488\) | 5.93639e6 | + | 8.17074e6i | 1.12842 | + | 1.55314i | ||||
\(489\) | 254904. | − | 807301.i | 0.0482064 | − | 0.152673i | ||||
\(490\) | −144557. | − | 46969.6i | −0.0271988 | − | 0.00883743i | ||||
\(491\) | −6.61631e6 | + | 4.80703e6i | −1.23855 | + | 0.899857i | −0.997501 | − | 0.0706573i | \(-0.977490\pi\) |
−0.241046 | + | 0.970514i | \(0.577490\pi\) | |||||||
\(492\) | 1.44068e7 | + | 1.02852e7i | 2.68322 | + | 1.91558i | ||||
\(493\) | −1.57788e6 | − | 4.85620e6i | −0.292385 | − | 0.899870i | ||||
\(494\) | 8.23740e6 | 1.51870 | ||||||||
\(495\) | 1.16820e6 | + | 1.20861e6i | 0.214292 | + | 0.221703i | ||||
\(496\) | 3.75336e6 | 0.685040 | ||||||||
\(497\) | 2.70175e6 | + | 8.31512e6i | 0.490629 | + | 1.51000i | ||||
\(498\) | 9.40224e6 | + | 6.71235e6i | 1.69886 | + | 1.21283i | ||||
\(499\) | −7.35641e6 | + | 5.34475e6i | −1.32256 | + | 0.960894i | −0.322661 | + | 0.946515i | \(0.604577\pi\) |
−0.999897 | + | 0.0143798i | \(0.995423\pi\) | |||||||
\(500\) | −6.58261e6 | − | 2.13882e6i | −1.17753 | − | 0.382603i | ||||
\(501\) | 421963. | − | 1.33639e6i | 0.0751070 | − | 0.237870i | ||||
\(502\) | −8.84872e6 | − | 1.21792e7i | −1.56719 | − | 2.15705i | ||||
\(503\) | 3.47085e6 | + | 2.52172e6i | 0.611668 | + | 0.444403i | 0.850001 | − | 0.526781i | \(-0.176601\pi\) |
−0.238333 | + | 0.971183i | \(0.576601\pi\) | |||||||
\(504\) | −1.02539e7 | + | 3.52131e6i | −1.79809 | + | 0.617487i | ||||
\(505\) | 766283.i | 0.133709i | ||||||||
\(506\) | 6.90009e6 | − | 1.24856e7i | 1.19806 | − | 2.16786i | ||||
\(507\) | 4.33858e6 | − | 36088.0i | 0.749596 | − | 0.00623509i | ||||
\(508\) | 1.62061e6 | − | 526569.i | 0.278625 | − | 0.0905307i | ||||
\(509\) | 2.13272e6 | − | 2.93544e6i | 0.364871 | − | 0.502202i | −0.586627 | − | 0.809858i | \(-0.699544\pi\) |
0.951498 | + | 0.307655i | \(0.0995444\pi\) | |||||||
\(510\) | 2.14390e6 | + | 2.89980e6i | 0.364989 | + | 0.493676i | ||||
\(511\) | 1.22018e6 | − | 3.75534e6i | 0.206715 | − | 0.636205i | ||||
\(512\) | −3.79940e6 | + | 1.16933e7i | −0.640530 | + | 1.97135i | ||||
\(513\) | 6.23711e6 | + | 8.14904e6i | 1.04638 | + | 1.36714i | ||||
\(514\) | 6.20879e6 | − | 8.54567e6i | 1.03657 | − | 1.42672i | ||||
\(515\) | −885798. | + | 287813.i | −0.147169 | + | 0.0478181i | ||||
\(516\) | −57350.3 | − | 6.89478e6i | −0.00948225 | − | 1.13998i | ||||
\(517\) | 570175. | + | 4.59531e6i | 0.0938170 | + | 0.756115i | ||||
\(518\) | 248493.i | 0.0406902i | ||||||||
\(519\) | −2.28384e6 | − | 6.83498e6i | −0.372176 | − | 1.11383i | ||||
\(520\) | −1.50331e6 | − | 1.09222e6i | −0.243803 | − | 0.177133i | ||||
\(521\) | −5.54908e6 | − | 7.63765e6i | −0.895626 | − | 1.23272i | −0.971842 | − | 0.235632i | \(-0.924284\pi\) |
0.0762168 | − | 0.997091i | \(-0.475716\pi\) | |||||||
\(522\) | −2.69535e6 | + | 8.79037e6i | −0.432951 | + | 1.41199i | ||||
\(523\) | −470165. | − | 152766.i | −0.0751616 | − | 0.0244215i | 0.271195 | − | 0.962524i | \(-0.412581\pi\) |
−0.346356 | + | 0.938103i | \(0.612581\pi\) | |||||||
\(524\) | 3.88921e6 | − | 2.82567e6i | 0.618775 | − | 0.449567i | ||||
\(525\) | 3.23205e6 | − | 4.52726e6i | 0.511777 | − | 0.716864i | ||||
\(526\) | 911733. | + | 2.80603e6i | 0.143682 | + | 0.442209i | ||||
\(527\) | 3.69378e6 | 0.579354 | ||||||||
\(528\) | 1.55176e6 | − | 8.41316e6i | 0.242237 | − | 1.31333i | ||||
\(529\) | −6.26880e6 | −0.973969 | ||||||||
\(530\) | 697540. | + | 2.14681e6i | 0.107865 | + | 0.331973i | ||||
\(531\) | −3.72378e6 | + | 5.30886e6i | −0.573123 | + | 0.817081i | ||||
\(532\) | −1.86551e7 | + | 1.35537e7i | −2.85772 | + | 2.07625i | ||||
\(533\) | −4.88157e6 | − | 1.58612e6i | −0.744289 | − | 0.241834i | ||||
\(534\) | −7.29616e6 | − | 2.30375e6i | −1.10724 | − | 0.349609i | ||||
\(535\) | −632154. | − | 870085.i | −0.0954857 | − | 0.131425i | ||||
\(536\) | 8.16863e6 | + | 5.93486e6i | 1.22811 | + | 0.892274i | ||||
\(537\) | 1.04732e7 | − | 3.49951e6i | 1.56726 | − | 0.523686i | ||||
\(538\) | − | 1.20969e7i | − | 1.80184i | ||||||
\(539\) | 150377. | + | 321416.i | 0.0222952 | + | 0.0476536i | ||||
\(540\) | −109889. | − | 4.40289e6i | −0.0162170 | − | 0.649760i | ||||
\(541\) | −1.01079e7 | + | 3.28427e6i | −1.48481 | + | 0.482442i | −0.935545 | − | 0.353209i | \(-0.885091\pi\) |
−0.549261 | + | 0.835651i | \(0.685091\pi\) | |||||||
\(542\) | −8.99008e6 | + | 1.23738e7i | −1.31451 | + | 1.80927i | ||||
\(543\) | −880761. | + | 651172.i | −0.128191 | + | 0.0947755i | ||||
\(544\) | 966363. | − | 2.97416e6i | 0.140005 | − | 0.430890i | ||||
\(545\) | 485816. | − | 1.49519e6i | 0.0700617 | − | 0.215628i | ||||
\(546\) | 4.80939e6 | − | 3.55572e6i | 0.690413 | − | 0.510442i | ||||
\(547\) | 2.86887e6 | − | 3.94866e6i | 0.409961 | − | 0.564263i | −0.553248 | − | 0.833017i | \(-0.686612\pi\) |
0.963209 | + | 0.268754i | \(0.0866118\pi\) | |||||||
\(548\) | −1.58940e7 | + | 5.16426e6i | −2.26090 | + | 0.734610i | ||||
\(549\) | −115464. | − | 6.94017e6i | −0.0163499 | − | 0.982742i | ||||
\(550\) | 4.79611e6 | + | 1.02512e7i | 0.676056 | + | 1.44500i | ||||
\(551\) | 1.02784e7i | 1.44226i | ||||||||
\(552\) | −1.86332e7 | + | 6.22612e6i | −2.60280 | + | 0.869701i | ||||
\(553\) | 8.67637e6 | + | 6.30375e6i | 1.20649 | + | 0.876569i | ||||
\(554\) | −2.70537e6 | − | 3.72362e6i | −0.374500 | − | 0.515455i | ||||
\(555\) | −50595.7 | − | 15975.5i | −0.00697239 | − | 0.00220152i | ||||
\(556\) | −3.07544e6 | − | 999271.i | −0.421910 | − | 0.137087i | ||||
\(557\) | 17976.1 | − | 13060.4i | 0.00245503 | − | 0.00178369i | −0.586557 | − | 0.809908i | \(-0.699517\pi\) |
0.589012 | + | 0.808124i | \(0.299517\pi\) | |||||||
\(558\) | −5.44522e6 | − | 3.81942e6i | −0.740338 | − | 0.519293i | ||||
\(559\) | 617820. | + | 1.90145e6i | 0.0836243 | + | 0.257369i | ||||
\(560\) | 2.97442e6 | 0.400804 | ||||||||
\(561\) | 1.52713e6 | − | 8.27960e6i | 0.204865 | − | 1.11071i | ||||
\(562\) | −104040. | −0.0138950 | ||||||||
\(563\) | 3.41570e6 | + | 1.05124e7i | 0.454159 | + | 1.39776i | 0.872119 | + | 0.489293i | \(0.162745\pi\) |
−0.417960 | + | 0.908465i | \(0.637255\pi\) | |||||||
\(564\) | 7.04961e6 | − | 9.87465e6i | 0.933185 | − | 1.30715i | ||||
\(565\) | 1.43535e6 | − | 1.04284e6i | 0.189163 | − | 0.137435i | ||||
\(566\) | −7.58859e6 | − | 2.46568e6i | −0.995680 | − | 0.323516i | ||||
\(567\) | 7.15911e6 | + | 2.06552e6i | 0.935193 | + | 0.269819i | ||||
\(568\) | 1.43996e7 | + | 1.98194e7i | 1.87275 | + | 2.57762i | ||||
\(569\) | −293279. | − | 213080.i | −0.0379752 | − | 0.0275906i | 0.568636 | − | 0.822589i | \(-0.307471\pi\) |
−0.606611 | + | 0.794999i | \(0.707471\pi\) | |||||||
\(570\) | −2.30058e6 | − | 6.88505e6i | −0.296585 | − | 0.887606i | ||||
\(571\) | 3.49015e6i | 0.447975i | 0.974592 | + | 0.223987i | \(0.0719074\pi\) | ||||
−0.974592 | + | 0.223987i | \(0.928093\pi\) | |||||||
\(572\) | 1.01630e6 | + | 8.19086e6i | 0.129877 | + | 1.04674i | ||||
\(573\) | −7609.40 | − | 914818.i | −0.000968197 | − | 0.116399i | ||||
\(574\) | 2.01476e7 | − | 6.54636e6i | 2.55237 | − | 0.829316i | ||||
\(575\) | 5.92478e6 | − | 8.15475e6i | 0.747313 | − | 1.02859i | ||||
\(576\) | 3.99799e6 | − | 3.00758e6i | 0.502094 | − | 0.377712i | ||||
\(577\) | 4.06324e6 | − | 1.25054e7i | 0.508081 | − | 1.56371i | −0.287447 | − | 0.957796i | \(-0.592807\pi\) |
0.795528 | − | 0.605916i | \(-0.207193\pi\) | |||||||
\(578\) | 1.20616e6 | − | 3.71218e6i | 0.150171 | − | 0.462178i | ||||
\(579\) | −272616. | − | 368735.i | −0.0337952 | − | 0.0457107i | ||||
\(580\) | 2.59289e6 | − | 3.56880e6i | 0.320047 | − | 0.440507i | ||||
\(581\) | 8.91811e6 | − | 2.89767e6i | 1.09605 | − | 0.356130i | ||||
\(582\) | −3.69046e6 | + | 30697.0i | −0.451620 | + | 0.00375655i | ||||
\(583\) | 2.54903e6 | − | 4.61241e6i | 0.310601 | − | 0.562026i | ||||
\(584\) | − | 1.10640e7i | − | 1.34240i | ||||||
\(585\) | 414788. | + | 1.20784e6i | 0.0501114 | + | 0.145922i | ||||
\(586\) | −9.08144e6 | − | 6.59805e6i | −1.09247 | − | 0.793728i | ||||
\(587\) | −1.68134e6 | − | 2.31417e6i | −0.201401 | − | 0.277204i | 0.696355 | − | 0.717697i | \(-0.254804\pi\) |
−0.897756 | + | 0.440493i | \(0.854804\pi\) | |||||||
\(588\) | 279953. | − | 886633.i | 0.0333920 | − | 0.105755i | ||||
\(589\) | −7.07148e6 | − | 2.29766e6i | −0.839890 | − | 0.272897i | ||||
\(590\) | 3.71110e6 | − | 2.69627e6i | 0.438908 | − | 0.318885i | ||||
\(591\) | −9.16211e6 | − | 6.54092e6i | −1.07901 | − | 0.770319i | ||||
\(592\) | 83447.7 | + | 256825.i | 0.00978611 | + | 0.0301185i | ||||
\(593\) | −5.67693e6 | −0.662944 | −0.331472 | − | 0.943465i | \(-0.607545\pi\) | ||||
−0.331472 | + | 0.943465i | \(0.607545\pi\) | |||||||
\(594\) | −1.08125e7 | + | 1.06264e7i | −1.25736 | + | 1.23572i | ||||
\(595\) | 2.92720e6 | 0.338969 | ||||||||
\(596\) | −4.02339e6 | − | 1.23827e7i | −0.463956 | − | 1.42791i | ||||
\(597\) | 5.05817e6 | + | 3.61108e6i | 0.580841 | + | 0.414668i | ||||
\(598\) | 8.76830e6 | − | 6.37054e6i | 1.00268 | − | 0.728490i | ||||
\(599\) | −2.59919e6 | − | 844527.i | −0.295985 | − | 0.0961715i | 0.157260 | − | 0.987557i | \(-0.449734\pi\) |
−0.453245 | + | 0.891386i | \(0.649734\pi\) | |||||||
\(600\) | 4.69300e6 | − | 1.48631e7i | 0.532197 | − | 1.68551i | ||||
\(601\) | 2.23979e6 | + | 3.08280e6i | 0.252942 | + | 0.348144i | 0.916539 | − | 0.399946i | \(-0.130971\pi\) |
−0.663597 | + | 0.748090i | \(0.730971\pi\) | |||||||
\(602\) | −6.67577e6 | − | 4.85023e6i | −0.750776 | − | 0.545471i | ||||
\(603\) | −2.25386e6 | − | 6.56313e6i | −0.252426 | − | 0.735051i | ||||
\(604\) | 2.83905e7i | 3.16651i | ||||||||
\(605\) | −1.03334e6 | + | 2.57649e6i | −0.114777 | + | 0.286181i | ||||
\(606\) | −6.91090e6 | + | 57484.4i | −0.764457 | + | 0.00635870i | ||||
\(607\) | 6.88566e6 | − | 2.23729e6i | 0.758532 | − | 0.246462i | 0.0958835 | − | 0.995393i | \(-0.469432\pi\) |
0.662648 | + | 0.748931i | \(0.269432\pi\) | |||||||
\(608\) | −3.70007e6 | + | 5.09271e6i | −0.405930 | + | 0.558714i | ||||
\(609\) | 4.43672e6 | + | 6.00101e6i | 0.484751 | + | 0.655663i | ||||
\(610\) | −1.51730e6 | + | 4.66978e6i | −0.165100 | + | 0.508126i | ||||
\(611\) | −1.08715e6 | + | 3.34590e6i | −0.117811 | + | 0.362585i | ||||
\(612\) | −1.76287e7 | + | 1.32616e7i | −1.90257 | + | 1.43125i | ||||
\(613\) | 974039. | − | 1.34065e6i | 0.104695 | − | 0.144100i | −0.753455 | − | 0.657500i | \(-0.771614\pi\) |
0.858150 | + | 0.513400i | \(0.171614\pi\) | |||||||
\(614\) | 1.81666e7 | − | 5.90268e6i | 1.94470 | − | 0.631871i | ||||
\(615\) | 37623.1 | + | 4.52313e6i | 0.00401113 | + | 0.482227i | ||||
\(616\) | −1.22277e7 | − | 1.30792e7i | −1.29836 | − | 1.38877i | ||||
\(617\) | 9.19781e6i | 0.972684i | 0.873769 | + | 0.486342i | \(0.161669\pi\) | ||||
−0.873769 | + | 0.486342i | \(0.838331\pi\) | |||||||
\(618\) | −2.66216e6 | − | 7.96718e6i | −0.280390 | − | 0.839139i | ||||
\(619\) | −1.08437e7 | − | 7.87838e6i | −1.13749 | − | 0.826438i | −0.150727 | − | 0.988575i | \(-0.548161\pi\) |
−0.986768 | + | 0.162137i | \(0.948161\pi\) | |||||||
\(620\) | 1.87570e6 | + | 2.58168e6i | 0.195968 | + | 0.269726i | ||||
\(621\) | 1.29413e7 | + | 3.85066e6i | 1.34663 | + | 0.400688i | ||||
\(622\) | 2.28150e7 | + | 7.41303e6i | 2.36453 | + | 0.768281i | ||||
\(623\) | −5.02438e6 | + | 3.65043e6i | −0.518636 | + | 0.376811i | ||||
\(624\) | 3.77660e6 | − | 5.29002e6i | 0.388275 | − | 0.543871i | ||||
\(625\) | 2.18430e6 | + | 6.72259e6i | 0.223672 | + | 0.688393i | ||||
\(626\) | −1.38011e7 | −1.40760 | ||||||||
\(627\) | −8.07379e6 | + | 1.49008e7i | −0.820179 | + | 1.51370i | ||||
\(628\) | 156626. | 0.0158477 | ||||||||
\(629\) | 82123.0 | + | 252748.i | 0.00827633 | + | 0.0254719i | ||||
\(630\) | −4.31516e6 | − | 3.02677e6i | −0.433157 | − | 0.303828i | ||||
\(631\) | −7.64910e6 | + | 5.55740e6i | −0.764781 | + | 0.555646i | −0.900373 | − | 0.435119i | \(-0.856706\pi\) |
0.135592 | + | 0.990765i | \(0.456706\pi\) | |||||||
\(632\) | 2.85796e7 | + | 9.28609e6i | 2.84619 | + | 0.924784i | ||||
\(633\) | −4.62054e6 | − | 1.45893e6i | −0.458335 | − | 0.144719i | ||||
\(634\) | −1.69457e7 | − | 2.33237e7i | −1.67431 | − | 2.30449i | ||||
\(635\) | 352270. | + | 255939.i | 0.0346690 | + | 0.0251885i | ||||
\(636\) | −1.30963e7 | + | 4.37601e6i | −1.28383 | + | 0.428979i | ||||
\(637\) | 269603.i | 0.0263255i | ||||||||
\(638\) | −1.50688e7 | + | 1.86970e6i | −1.46563 | + | 0.181853i | ||||
\(639\) | −280075. | − | 1.68345e7i | −0.0271345 | − | 1.63097i | ||||
\(640\) | −4.58475e6 | + | 1.48968e6i | −0.442452 | + | 0.143761i | ||||
\(641\) | 2.12492e6 | − | 2.92471e6i | 0.204267 | − | 0.281149i | −0.694577 | − | 0.719419i | \(-0.744408\pi\) |
0.898844 | + | 0.438269i | \(0.144408\pi\) | |||||||
\(642\) | 7.79964e6 | − | 5.76650e6i | 0.746856 | − | 0.552172i | ||||
\(643\) | −1.80649e6 | + | 5.55980e6i | −0.172309 | + | 0.530313i | −0.999500 | − | 0.0316078i | \(-0.989937\pi\) |
0.827191 | + | 0.561920i | \(0.189937\pi\) | |||||||
\(644\) | −9.37541e6 | + | 2.88546e7i | −0.890791 | + | 2.74157i | ||||
\(645\) | 1.41674e6 | − | 1.04744e6i | 0.134088 | − | 0.0991354i | ||||
\(646\) | −2.13718e7 | + | 2.94158e7i | −2.01493 | + | 2.77331i | ||||
\(647\) | 1.62291e7 | − | 5.27315e6i | 1.52417 | − | 0.495232i | 0.577212 | − | 0.816594i | \(-0.304141\pi\) |
0.946957 | + | 0.321362i | \(0.104141\pi\) | |||||||
\(648\) | 2.08666e7 | − | 694508.i | 1.95215 | − | 0.0649740i | ||||
\(649\) | −1.05151e7 | − | 2.03004e6i | −0.979949 | − | 0.189188i | ||||
\(650\) | 8.59867e6i | 0.798267i | ||||||||
\(651\) | −5.12047e6 | + | 1.71096e6i | −0.473541 | + | 0.158229i | ||||
\(652\) | −2.96371e6 | − | 2.15326e6i | −0.273034 | − | 0.198371i | ||||
\(653\) | 4.36095e6 | + | 6.00233e6i | 0.400219 | + | 0.550854i | 0.960799 | − | 0.277246i | \(-0.0894217\pi\) |
−0.560580 | + | 0.828100i | \(0.689422\pi\) | |||||||
\(654\) | 1.35211e7 | + | 4.26928e6i | 1.23614 | + | 0.390310i | ||||
\(655\) | 1.16830e6 | + | 379604.i | 0.106402 | + | 0.0345723i | ||||
\(656\) | 1.86249e7 | − | 1.35318e7i | 1.68979 | − | 1.22771i | ||||
\(657\) | −4.36655e6 | + | 6.22523e6i | −0.394661 | + | 0.562655i | ||||
\(658\) | −4.48697e6 | − | 1.38095e7i | −0.404007 | − | 1.24341i | ||||
\(659\) | −3.07316e6 | −0.275659 | −0.137829 | − | 0.990456i | \(-0.544013\pi\) | ||||
−0.137829 | + | 0.990456i | \(0.544013\pi\) | |||||||
\(660\) | 6.56231e6 | − | 3.13703e6i | 0.586404 | − | 0.280323i | ||||
\(661\) | 1.62900e7 | 1.45017 | 0.725084 | − | 0.688660i | \(-0.241801\pi\) | ||||
0.725084 | + | 0.688660i | \(0.241801\pi\) | |||||||
\(662\) | −3.33180e6 | − | 1.02542e7i | −0.295484 | − | 0.909406i | ||||
\(663\) | 3.71665e6 | − | 5.20604e6i | 0.328373 | − | 0.459964i | ||||
\(664\) | 2.12566e7 | − | 1.54438e7i | 1.87100 | − | 1.35936i | ||||
\(665\) | −5.60392e6 | − | 1.82082e6i | −0.491403 | − | 0.159667i | ||||
\(666\) | 140283. | − | 457508.i | 0.0122552 | − | 0.0399681i | ||||
\(667\) | 7.94896e6 | + | 1.09408e7i | 0.691824 | + | 0.952214i | ||||
\(668\) | −4.90607e6 | − | 3.56447e6i | −0.425395 | − | 0.309068i | ||||
\(669\) | 5.23098e6 | + | 1.56550e7i | 0.451875 | + | 1.35235i | ||||
\(670\) | 4.90883e6i | 0.422465i | ||||||||
\(671\) | 1.03830e7 | − | 4.85779e6i | 0.890260 | − | 0.416516i | ||||
\(672\) | 38017.3 | + | 4.57053e6i | 0.00324757 | + | 0.390430i | ||||
\(673\) | −1.72302e7 | + | 5.59843e6i | −1.46640 | + | 0.476462i | −0.930018 | − | 0.367513i | \(-0.880209\pi\) |
−0.536382 | + | 0.843976i | \(0.680209\pi\) | |||||||
\(674\) | −2.11614e7 | + | 2.91262e7i | −1.79430 | + | 2.46964i | ||||
\(675\) | −8.50644e6 | + | 6.51066e6i | −0.718602 | + | 0.550003i | ||||
\(676\) | 5.80164e6 | − | 1.78556e7i | 0.488297 | − | 1.50282i | ||||
\(677\) | 913131. | − | 2.81033e6i | 0.0765704 | − | 0.235660i | −0.905444 | − | 0.424466i | \(-0.860462\pi\) |
0.982014 | + | 0.188806i | \(0.0604619\pi\) | |||||||
\(678\) | 9.51277e6 | + | 1.28668e7i | 0.794754 | + | 1.07497i | ||||
\(679\) | −1.76080e6 | + | 2.42353e6i | −0.146566 | + | 0.201731i | ||||
\(680\) | 7.80061e6 | − | 2.53457e6i | 0.646929 | − | 0.210200i | ||||
\(681\) | 4.66725e6 | − | 38821.9i | 0.385650 | − | 0.00320781i | ||||
\(682\) | 2.08218e6 | − | 1.07852e7i | 0.171418 | − | 0.887908i | ||||
\(683\) | − | 6.38682e6i | − | 0.523881i | −0.965084 | − | 0.261940i | \(-0.915638\pi\) | ||
0.965084 | − | 0.261940i | \(-0.0843624\pi\) | |||||||
\(684\) | 4.19981e7 | − | 1.44227e7i | 3.43233 | − | 1.17871i | ||||
\(685\) | −3.45484e6 | − | 2.51009e6i | −0.281321 | − | 0.204392i | ||||
\(686\) | −1.30857e7 | − | 1.80110e7i | −1.06166 | − | 1.46126i | ||||
\(687\) | 2.29991e6 | − | 7.28401e6i | 0.185917 | − | 0.588815i | ||||
\(688\) | −8.52841e6 | − | 2.77105e6i | −0.686905 | − | 0.223189i | ||||
\(689\) | 3.23918e6 | − | 2.35340e6i | 0.259948 | − | 0.188863i | ||||
\(690\) | −7.77352e6 | − | 5.54960e6i | −0.621577 | − | 0.443750i | ||||
\(691\) | 789562. | + | 2.43002e6i | 0.0629059 | + | 0.193604i | 0.977570 | − | 0.210610i | \(-0.0675450\pi\) |
−0.914664 | + | 0.404214i | \(0.867545\pi\) | |||||||
\(692\) | −3.11836e7 | −2.47549 | ||||||||
\(693\) | 1.71814e6 | + | 1.21849e7i | 0.135902 | + | 0.963805i | ||||
\(694\) | −3.90135e6 | −0.307480 | ||||||||
\(695\) | −255346. | − | 785873.i | −0.0200524 | − | 0.0617149i | ||||
\(696\) | 1.70194e7 | + | 1.21503e7i | 1.33174 | + | 0.950745i | ||||
\(697\) | 1.83292e7 | − | 1.33169e7i | 1.42910 | − | 1.03830i | ||||
\(698\) | 6.98391e6 | + | 2.26921e6i | 0.542575 | + | 0.176293i | ||||
\(699\) | −4.15144e6 | + | 1.31479e7i | −0.321371 | + | 1.01781i | ||||
\(700\) | −1.41482e7 | − | 1.94733e7i | −1.09133 | − | 1.50208i | ||||
\(701\) | 1.37433e7 | + | 9.98508e6i | 1.05632 | + | 0.767462i | 0.973404 | − | 0.229095i | \(-0.0735767\pi\) |
0.0829161 | + | 0.996557i | \(0.473577\pi\) | |||||||
\(702\) | −1.08621e7 | + | 3.83147e6i | −0.831897 | + | 0.293442i | ||||
\(703\) | − | 534953.i | − | 0.0408251i | ||||||
\(704\) | 7.23146e6 | + | 3.99643e6i | 0.549914 | + | 0.303907i | ||||
\(705\) | 3.10022e6 | − | 25787.4i | 0.234920 | − | 0.00195405i | ||||
\(706\) | −4.32982e6 | + | 1.40684e6i | −0.326932 | + | 0.106227i | ||||
\(707\) | −3.29733e6 | + | 4.53839e6i | −0.248093 | + | 0.341470i | ||||
\(708\) | 1.66817e7 | + | 2.25633e7i | 1.25071 | + | 1.69168i | ||||
\(709\) | −843988. | + | 2.59753e6i | −0.0630552 | + | 0.194064i | −0.977621 | − | 0.210373i | \(-0.932532\pi\) |
0.914566 | + | 0.404436i | \(0.132532\pi\) | |||||||
\(710\) | −3.68045e6 | + | 1.13273e7i | −0.274003 | + | 0.843294i | ||||
\(711\) | −1.24156e7 | − | 1.65042e7i | −0.921074 | − | 1.22439i | ||||
\(712\) | −1.02285e7 | + | 1.40784e7i | −0.756161 | + | 1.04077i | ||||
\(713\) | −9.30418e6 | + | 3.02311e6i | −0.685416 | + | 0.222705i | ||||
\(714\) | 219590. | + | 2.63996e7i | 0.0161201 | + | 1.93799i | ||||
\(715\) | −1.54065e6 | + | 1.44035e6i | −0.112704 | + | 0.105367i | ||||
\(716\) | − | 4.77823e7i | − | 3.48325i | ||||||
\(717\) | −3.72279e6 | − | 1.11414e7i | −0.270440 | − | 0.809359i | ||||
\(718\) | 2.71674e7 | + | 1.97383e7i | 1.96670 | + | 1.42889i | ||||
\(719\) | −9.12920e6 | − | 1.25653e7i | −0.658583 | − | 0.906462i | 0.340851 | − | 0.940117i | \(-0.389285\pi\) |
−0.999433 | + | 0.0336559i | \(0.989285\pi\) | |||||||
\(720\) | −5.47629e6 | − | 1.67917e6i | −0.393691 | − | 0.120716i | ||||
\(721\) | −6.48470e6 | − | 2.10701e6i | −0.464570 | − | 0.150948i | ||||
\(722\) | 3.92352e7 | − | 2.85061e7i | 2.80113 | − | 2.03514i | ||||
\(723\) | 4.59952e6 | − | 6.44272e6i | 0.327241 | − | 0.458378i | ||||
\(724\) | 1.46466e6 | + | 4.50776e6i | 0.103846 | + | 0.319605i | ||||
\(725\) | −1.07291e7 | −0.758089 | ||||||||
\(726\) | −2.33142e7 | − | 9.12617e6i | −1.64164 | − | 0.642609i | ||||
\(727\) | −1.42022e7 | −0.996594 | −0.498297 | − | 0.867006i | \(-0.666041\pi\) | ||||
−0.498297 | + | 0.867006i | \(0.666041\pi\) | |||||||
\(728\) | −4.20366e6 | − | 1.29375e7i | −0.293967 | − | 0.904738i | ||||
\(729\) | −1.20148e7 | − | 7.84448e6i | −0.837332 | − | 0.546695i | ||||
\(730\) | 4.35168e6 | − | 3.16168e6i | 0.302239 | − | 0.219589i | ||||
\(731\) | −8.39302e6 | − | 2.72706e6i | −0.580932 | − | 0.188756i | ||||
\(732\) | −2.86418e7 | − | 9.04359e6i | −1.97571 | − | 0.623826i | ||||
\(733\) | 3.15560e6 | + | 4.34331e6i | 0.216931 | + | 0.298580i | 0.903589 | − | 0.428401i | \(-0.140923\pi\) |
−0.686658 | + | 0.726981i | \(0.740923\pi\) | |||||||
\(734\) | 1.27391e7 | + | 9.25550e6i | 0.872768 | + | 0.634103i | ||||
\(735\) | 225342. | − | 75295.8i | 0.0153859 | − | 0.00514106i | ||||
\(736\) | 8.28244e6i | 0.563591i | ||||||||
\(737\) | 8.37153e6 | − | 7.82654e6i | 0.567723 | − | 0.530763i | ||||
\(738\) | −4.07901e7 | + | 678625.i | −2.75685 | + | 0.0458658i | ||||
\(739\) | 2.07203e7 | − | 6.73245e6i | 1.39568 | − | 0.453484i | 0.487888 | − | 0.872906i | \(-0.337767\pi\) |
0.907791 | + | 0.419422i | \(0.137767\pi\) | |||||||
\(740\) | −134951. | + | 185744.i | −0.00905933 | + | 0.0124691i | ||||
\(741\) | −1.03536e7 | + | 7.65472e6i | −0.692702 | + | 0.512134i | ||||
\(742\) | −5.10651e6 | + | 1.57162e7i | −0.340498 | + | 1.04794i | ||||
\(743\) | −1.30647e6 | + | 4.02089e6i | −0.0868213 | + | 0.267208i | −0.985036 | − | 0.172348i | \(-0.944865\pi\) |
0.898215 | + | 0.439557i | \(0.144865\pi\) | |||||||
\(744\) | −1.21639e7 | + | 8.99315e6i | −0.805642 | + | 0.595634i | ||||
\(745\) | 1.95557e6 | − | 2.69162e6i | 0.129087 | − | 0.177673i | ||||
\(746\) | 1.21568e7 | − | 3.94998e6i | 0.799783 | − | 0.259865i | ||||
\(747\) | −1.80552e7 | + | 300385.i | −1.18386 | + | 0.0196960i | ||||
\(748\) | −3.18864e7 | − | 1.76218e7i | −2.08378 | − | 1.15159i | ||||
\(749\) | − | 7.87334e6i | − | 0.512808i | ||||||
\(750\) | 1.51291e7 | − | 5.05525e6i | 0.982110 | − | 0.328163i | ||||
\(751\) | 1.82426e7 | + | 1.32540e7i | 1.18028 | + | 0.857526i | 0.992204 | − | 0.124628i | \(-0.0397737\pi\) |
0.188079 | + | 0.982154i | \(0.439774\pi\) | |||||||
\(752\) | −9.27486e6 | − | 1.27658e7i | −0.598085 | − | 0.823193i | ||||
\(753\) | 2.24397e7 | + | 7.08530e6i | 1.44221 | + | 0.455377i | ||||
\(754\) | −1.09718e7 | − | 3.56494e6i | −0.702826 | − | 0.228362i | ||||
\(755\) | −5.86916e6 | + | 4.26420e6i | −0.374722 | + | 0.272251i | ||||
\(756\) | 1.82949e7 | − | 2.65494e7i | 1.16419 | − | 1.68947i | ||||
\(757\) | −6.22088e6 | − | 1.91459e7i | −0.394559 | − | 1.21433i | −0.929305 | − | 0.369314i | \(-0.879593\pi\) |
0.534746 | − | 0.845013i | \(-0.320407\pi\) | |||||||
\(758\) | 4.20156e7 | 2.65606 | ||||||||
\(759\) | 2.92965e6 | + | 2.21052e7i | 0.184591 | + | 1.39280i | ||||
\(760\) | −1.65103e7 | −1.03686 | ||||||||
\(761\) | −1.90484e6 | − | 5.86249e6i | −0.119233 | − | 0.366962i | 0.873573 | − | 0.486693i | \(-0.161797\pi\) |
−0.992806 | + | 0.119731i | \(0.961797\pi\) | |||||||
\(762\) | −2.28182e6 | + | 3.19623e6i | −0.142362 | + | 0.199412i | ||||
\(763\) | 9.31112e6 | − | 6.76493e6i | 0.579016 | − | 0.420680i | ||||
\(764\) | −3.76497e6 | − | 1.22331e6i | −0.233361 | − | 0.0758237i | ||||
\(765\) | −5.38936e6 | − | 1.65251e6i | −0.332953 | − | 0.102092i | ||||
\(766\) | 2.99382e7 | + | 4.12063e7i | 1.84354 | + | 2.53742i | ||||
\(767\) | −6.58254e6 | − | 4.78250e6i | −0.404022 | − | 0.293539i | ||||
\(768\) | −1.05242e7 | − | 3.14963e7i | −0.643851 | − | 1.92689i | ||||
\(769\) | 2.01013e7i | 1.22577i | 0.790173 | + | 0.612884i | \(0.209991\pi\) | ||||
−0.790173 | + | 0.612884i | \(0.790009\pi\) | |||||||
\(770\) | 1.65006e6 | − | 8.54694e6i | 0.100294 | − | 0.519498i | ||||
\(771\) | 137335. | + | 1.65107e7i | 0.00832040 | + | 1.00030i | ||||
\(772\) | −1.88719e6 | + | 613187.i | −0.113966 | + | 0.0370296i | ||||
\(773\) | 1.11441e7 | − | 1.53385e7i | 0.670805 | − | 0.923283i | −0.328974 | − | 0.944339i | \(-0.606703\pi\) |
0.999778 | + | 0.0210557i | \(0.00670273\pi\) | |||||||
\(774\) | 9.55284e6 | + | 1.26986e7i | 0.573165 | + | 0.761912i | ||||
\(775\) | 2.39843e6 | − | 7.38162e6i | 0.143441 | − | 0.441466i | ||||
\(776\) | −2.59384e6 | + | 7.98301e6i | −0.154628 | + | 0.475896i | ||||
\(777\) | −230916. | − | 312331.i | −0.0137215 | − | 0.0185594i | ||||
\(778\) | −3.18245e6 | + | 4.38027e6i | −0.188501 | + | 0.259449i | ||||
\(779\) | −4.33736e7 | + | 1.40929e7i | −2.56084 | + | 0.832066i | ||||
\(780\) | 5.52596e6 | − | 45964.6i | 0.325215 | − | 0.00270512i | ||||
\(781\) | 2.51856e7 | − | 1.17833e7i | 1.47749 | − | 0.691257i | ||||
\(782\) | 4.78399e7i | 2.79752i | ||||||||
\(783\) | −4.78078e6 | − | 1.35533e7i | −0.278673 | − | 0.790026i | ||||
\(784\) | −978283. | − | 710764.i | −0.0568427 | − | 0.0412986i | ||||
\(785\) | 23525.0 | + | 32379.3i | 0.00136256 | + | 0.00187540i | ||||
\(786\) | −3.33591e6 | + | 1.05651e7i | −0.192601 | + | 0.609981i | ||||
\(787\) | 2.61284e6 | + | 848964.i | 0.150375 | + | 0.0488599i | 0.383237 | − | 0.923650i | \(-0.374809\pi\) |
−0.232862 | + | 0.972510i | \(0.574809\pi\) | |||||||
\(788\) | −3.94094e7 | + | 2.86326e7i | −2.26092 | + | 1.64265i | ||||
\(789\) | −3.75350e6 | − | 2.67966e6i | −0.214656 | − | 0.153245i | ||||
\(790\) | 4.51460e6 | + | 1.38945e7i | 0.257366 | + | 0.792092i | ||||
\(791\) | 1.29883e7 | 0.738096 | ||||||||
\(792\) | 1.51292e7 | + | 3.09835e7i | 0.857042 | + | 1.75516i | ||||
\(793\) | 8.70925e6 | 0.491810 | ||||||||
\(794\) | 1.68120e7 | + | 5.17421e7i | 0.946387 | + | 2.91268i | ||||
\(795\) | −2.87169e6 | − | 2.05013e6i | −0.161146 | − | 0.115044i | ||||
\(796\) | 2.17569e7 | − | 1.58073e7i | 1.21707 | − | 0.884251i | ||||
\(797\) | −1.95280e7 | − | 6.34504e6i | −1.08896 | − | 0.353825i | −0.291116 | − | 0.956688i | \(-0.594027\pi\) |
−0.797845 | + | 0.602863i | \(0.794027\pi\) | |||||||
\(798\) | 1.60011e7 | − | 5.06769e7i | 0.889495 | − | 2.81710i | ||||
\(799\) | −9.12763e6 | − | 1.25631e7i | −0.505814 | − | 0.696193i | ||||
\(800\) | −5.31606e6 | − | 3.86234e6i | −0.293674 | − | 0.213366i | ||||
\(801\) | 1.13114e7 | − | 3.88447e6i | 0.622921 | − | 0.213919i | ||||
\(802\) | − | 2.95091e7i | − | 1.62002i | ||||||
\(803\) | −1.23302e7 | − | 2.38045e6i | −0.674808 | − | 0.130278i | ||||
\(804\) | −3.00268e7 | + | 249761.i | −1.63821 | + | 0.0136265i | ||||
\(805\) | −7.37326e6 | + | 2.39572e6i | −0.401023 | + | 0.130300i | ||||
\(806\) | 4.90533e6 | − | 6.75161e6i | 0.265969 | − | 0.366075i | ||||
\(807\) | 1.12412e7 | + | 1.52046e7i | 0.607614 | + | 0.821846i | ||||
\(808\) | −4.85732e6 | + | 1.49493e7i | −0.261739 | + | 0.805549i | ||||
\(809\) | 6.72191e6 | − | 2.06879e7i | 0.361095 | − | 1.11134i | −0.591296 | − | 0.806455i | \(-0.701383\pi\) |
0.952391 | − | 0.304881i | \(-0.0986165\pi\) | |||||||
\(810\) | 6.23605e6 | + | 8.00875e6i | 0.333962 | + | 0.428896i | ||||
\(811\) | 1.51221e7 | − | 2.08137e7i | 0.807344 | − | 1.11121i | −0.184384 | − | 0.982854i | \(-0.559029\pi\) |
0.991728 | − | 0.128359i | \(-0.0409710\pi\) | |||||||
\(812\) | 3.07133e7 | − | 9.97935e6i | 1.63469 | − | 0.531144i | ||||
\(813\) | −198855. | − | 2.39068e7i | −0.0105514 | − | 1.26851i | ||||
\(814\) | 784276. | − | 97311.2i | 0.0414866 | − | 0.00514756i | ||||
\(815\) | − | 936101.i | − | 0.0493661i | ||||||
\(816\) | 9.09235e6 | + | 2.72111e7i | 0.478025 | + | 1.43061i | ||||
\(817\) | 1.43715e7 | + | 1.04415e7i | 0.753265 | + | 0.547279i | ||||
\(818\) | −1.11781e6 | − | 1.53854e6i | −0.0584097 | − | 0.0803941i | ||||
\(819\) | −2.74074e6 | + | 8.93839e6i | −0.142777 | + | 0.465639i | ||||
\(820\) | 1.86151e7 | + | 6.04843e6i | 0.966789 | + | 0.314129i | ||||
\(821\) | 2.63095e6 | − | 1.91150e6i | 0.136225 | − | 0.0989729i | −0.517586 | − | 0.855631i | \(-0.673169\pi\) |
0.653811 | + | 0.756658i | \(0.273169\pi\) | |||||||
\(822\) | 2.23787e7 | − | 3.13466e7i | 1.15519 | − | 1.61812i | ||||
\(823\) | −1.74918e6 | − | 5.38342e6i | −0.0900191 | − | 0.277050i | 0.895905 | − | 0.444247i | \(-0.146529\pi\) |
−0.985924 | + | 0.167196i | \(0.946529\pi\) | |||||||
\(824\) | −1.91053e7 | −0.980247 | ||||||||
\(825\) | −1.55543e7 | − | 8.42789e6i | −0.795638 | − | 0.431106i | ||||
\(826\) | 3.35815e7 | 1.71258 | ||||||||
\(827\) | 4.05697e6 | + | 1.24861e7i | 0.206271 | + | 0.634836i | 0.999659 | + | 0.0261200i | \(0.00831521\pi\) |
−0.793388 | + | 0.608716i | \(0.791685\pi\) | |||||||
\(828\) | 3.35508e7 | − | 4.78322e7i | 1.70070 | − | 2.42463i | ||||
\(829\) | −1.19754e7 | + | 8.70063e6i | −0.605206 | + | 0.439708i | −0.847723 | − | 0.530439i | \(-0.822027\pi\) |
0.242517 | + | 0.970147i | \(0.422027\pi\) | |||||||
\(830\) | 1.21487e7 | + | 3.94735e6i | 0.612116 | + | 0.198889i | ||||
\(831\) | 6.86061e6 | + | 2.16623e6i | 0.344636 | + | 0.108818i | ||||
\(832\) | 3.68973e6 | + | 5.07847e6i | 0.184793 | + | 0.254346i | ||||
\(833\) | −962753. | − | 699481.i | −0.0480731 | − | 0.0349272i | ||||
\(834\) | 7.06842e6 | − | 2.36185e6i | 0.351890 | − | 0.117581i | ||||
\(835\) | − | 1.54961e6i | − | 0.0769139i | ||||||
\(836\) | 5.00828e7 | + | 5.35703e7i | 2.47841 | + | 2.65099i | ||||
\(837\) | 1.03934e7 | − | 259402.i | 0.512793 | − | 0.0127985i | ||||
\(838\) | −4.99546e7 | + | 1.62312e7i | −2.45734 | + | 0.798438i | ||||
\(839\) | −1.42209e7 | + | 1.95734e7i | −0.697465 | + | 0.959978i | 0.302512 | + | 0.953146i | \(0.402175\pi\) |
−0.999977 | + | 0.00683223i | \(0.997825\pi\) | |||||||
\(840\) | −9.63953e6 | + | 7.12678e6i | −0.471365 | + | 0.348494i | ||||
\(841\) | −1.89008e6 | + | 5.81707e6i | −0.0921489 | + | 0.283605i | ||||
\(842\) | −648350. | + | 1.99542e6i | −0.0315159 | + | 0.0969958i | ||||
\(843\) | 130768. | − | 96680.5i | 0.00633771 | − | 0.00468565i | ||||
\(844\) | −1.23241e7 | + | 1.69626e7i | −0.595522 | + | 0.819666i | ||||
\(845\) | 4.56268e6 | − | 1.48250e6i | 0.219825 | − | 0.0714256i | ||||
\(846\) | 465140. | + | 2.79581e7i | 0.0223438 | + | 1.34302i | ||||
\(847\) | −1.72068e7 | + | 1.08130e7i | −0.824122 | + | 0.517892i | ||||
\(848\) | 1.79581e7i | 0.857571i | ||||||||
\(849\) | 1.18294e7 | − | 3.95268e6i | 0.563239 | − | 0.188201i | ||||
\(850\) | −3.07059e7 | − | 2.23091e7i | −1.45772 | − | 1.05910i | ||||
\(851\) | −413715. | − | 569430.i | −0.0195829 | − | 0.0269536i | ||||
\(852\) | −6.94750e7 | − | 2.19366e7i | −3.27891 | − | 1.03531i | ||||
\(853\) | −2.83212e6 | − | 920211.i | −0.133272 | − | 0.0433027i | 0.241622 | − | 0.970371i | \(-0.422321\pi\) |
−0.374894 | + | 0.927068i | \(0.622321\pi\) | |||||||
\(854\) | −2.90806e7 | + | 2.11283e7i | −1.36445 | + | 0.991332i | ||||
\(855\) | 9.28963e6 | + | 6.51600e6i | 0.434593 | + | 0.304836i | ||||
\(856\) | −6.81729e6 | − | 2.09814e7i | −0.318000 | − | 0.978703i | ||||
\(857\) | 1.93464e7 | 0.899803 | 0.449901 | − | 0.893078i | \(-0.351459\pi\) | ||||
0.449901 | + | 0.893078i | \(0.351459\pi\) | |||||||
\(858\) | −1.31057e7 | − | 1.37866e7i | −0.607774 | − | 0.639352i | ||||
\(859\) | −3.92569e7 | −1.81524 | −0.907618 | − | 0.419798i | \(-0.862101\pi\) | ||||
−0.907618 | + | 0.419798i | \(0.862101\pi\) | |||||||
\(860\) | −2.35596e6 | − | 7.25091e6i | −0.108623 | − | 0.334308i | ||||
\(861\) | −1.92403e7 | + | 2.69506e7i | −0.884513 | + | 1.23897i | ||||
\(862\) | −4.35207e7 | + | 3.16197e7i | −1.99493 | + | 1.44940i | ||||
\(863\) | −1.96889e7 | − | 6.39731e6i | −0.899901 | − | 0.292395i | −0.177705 | − | 0.984084i | \(-0.556867\pi\) |
−0.722196 | + | 0.691688i | \(0.756867\pi\) | |||||||
\(864\) | 2.51024e6 | − | 8.43640e6i | 0.114401 | − | 0.384479i | ||||
\(865\) | −4.68372e6 | − | 6.44658e6i | −0.212839 | − | 0.292947i | ||||
\(866\) | −5.86425e6 | − | 4.26062e6i | −0.265716 | − | 0.193054i | ||||
\(867\) | 1.93357e6 | + | 5.78668e6i | 0.0873597 | + | 0.261446i | ||||
\(868\) | 2.33615e7i | 1.05245i | ||||||||
\(869\) | 1.64977e7 | − | 2.98523e7i | 0.741097 | − | 1.34100i | ||||
\(870\) | 84561.2 | + | 1.01661e7i | 0.00378768 | + | 0.455363i | ||||
\(871\) | 8.28085e6 | − | 2.69061e6i | 0.369853 | − | 0.120173i | ||||
\(872\) | 1.89554e7 | − | 2.60899e7i | 0.844194 | − | 1.16193i | ||||
\(873\) | 4.61002e6 | − | 3.46800e6i | 0.204723 | − | 0.154008i | ||||
\(874\) | 2.97582e7 | − | 9.15862e7i | 1.31773 | − | 4.05556i | ||||
\(875\) | 4.00105e6 | − | 1.23140e7i | 0.176666 | − | 0.543723i | ||||
\(876\) | 1.95611e7 | + | 2.64579e7i | 0.861258 | + | 1.16492i | ||||
\(877\) | −1.69886e7 | + | 2.33828e7i | −0.745863 | + | 1.02659i | 0.252397 | + | 0.967624i | \(0.418781\pi\) |
−0.998260 | + | 0.0589689i | \(0.981219\pi\) | |||||||
\(878\) | −3.66263e7 | + | 1.19006e7i | −1.60346 | + | 0.520994i | ||||
\(879\) | 1.75458e7 | − | 145945.i | 0.765952 | − | 0.00637114i | ||||
\(880\) | −1.16480e6 | − | 9.38765e6i | −0.0507042 | − | 0.408649i | ||||
\(881\) | 5.56271e6i | 0.241461i | 0.992685 | + | 0.120730i | \(0.0385236\pi\) | ||||
−0.992685 | + | 0.120730i | \(0.961476\pi\) | |||||||
\(882\) | 695978. | + | 2.02665e6i | 0.0301248 | + | 0.0877217i | ||||
\(883\) | −2.16812e7 | − | 1.57523e7i | −0.935799 | − | 0.679898i | 0.0116068 | − | 0.999933i | \(-0.496305\pi\) |
−0.947406 | + | 0.320035i | \(0.896305\pi\) | |||||||
\(884\) | −1.62695e7 | − | 2.23930e7i | −0.700233 | − | 0.963788i | ||||
\(885\) | −2.15895e6 | + | 6.83755e6i | −0.0926581 | + | 0.293456i | ||||
\(886\) | −62215.9 | − | 20215.2i | −0.00266267 | − | 0.000865153i | ||||
\(887\) | 3.25350e7 | − | 2.36381e7i | 1.38849 | − | 1.00880i | 0.392459 | − | 0.919769i | \(-0.371624\pi\) |
0.996029 | − | 0.0890264i | \(-0.0283755\pi\) | |||||||
\(888\) | −885799. | − | 632381.i | −0.0376966 | − | 0.0269120i | ||||
\(889\) | 985044. | + | 3.03165e6i | 0.0418024 | + | 0.128655i | ||||
\(890\) | −8.46022e6 | −0.358020 | ||||||||
\(891\) | 3.71551e6 | − | 2.34040e7i | 0.156792 | − | 0.987632i | ||||
\(892\) | 7.14240e7 | 3.00560 | ||||||||
\(893\) | 9.65951e6 | + | 2.97289e7i | 0.405346 | + | 1.24753i | ||||
\(894\) | 2.44217e7 | + | 1.74349e7i | 1.02195 | + | 0.729584i | ||||
\(895\) | 9.87803e6 | − | 7.17681e6i | 0.412204 | − | 0.299484i | ||||
\(896\) | −3.35638e7 | − | 1.09055e7i | −1.39669 | − | 0.453813i | ||||
\(897\) | −5.10098e6 | + | 1.61552e7i | −0.211677 | + | 0.670396i | ||||
\(898\) | −1.48145e7 | − | 2.03904e7i | −0.613049 | − | 0.843789i | ||||
\(899\) | 8.42444e6 | + | 6.12072e6i | 0.347650 | + | 0.252582i | ||||
\(900\) | 1.50552e7 | + | 4.38400e7i | 0.619557 | + | 1.80412i | ||||
\(901\) | 1.76730e7i | 0.725267i | ||||||||
\(902\) | −2.85511e7 | − | 6.10250e7i | −1.16844 | − | 2.49742i | ||||
\(903\) | 1.28979e7 | − | 107284.i | 0.526382 | − | 0.00437841i | ||||
\(904\) | 3.46123e7 | − | 1.12462e7i | 1.40867 | − | 0.457705i | ||||
\(905\) | −711898. | + | 979844.i | −0.0288932 | + | 0.0397681i | ||||
\(906\) | −3.88979e7 | − | 5.26125e7i | −1.57437 | − | 2.12946i | ||||
\(907\) | −1.44889e7 | + | 4.45924e7i | −0.584815 | + | 1.79988i | 0.0151964 | + | 0.999885i | \(0.495163\pi\) |
−0.600012 | + | 0.799991i | \(0.704837\pi\) | |||||||
\(908\) | 6.24115e6 | − | 1.92083e7i | 0.251217 | − | 0.773168i | ||||
\(909\) | 8.63291e6 | − | 6.49430e6i | 0.346535 | − | 0.260689i | ||||
\(910\) | 3.88732e6 | − | 5.35043e6i | 0.155613 | − | 0.214183i | ||||
\(911\) | −6.85098e6 | + | 2.22602e6i | −0.273500 | + | 0.0888654i | −0.442556 | − | 0.896741i | \(-0.645928\pi\) |
0.169056 | + | 0.985606i | \(0.445928\pi\) | |||||||
\(912\) | −480357. | − | 5.77496e7i | −0.0191239 | − | 2.29912i | ||||
\(913\) | −1.26378e7 | − | 2.70120e7i | −0.501758 | − | 1.07246i | ||||
\(914\) | − | 1.83399e7i | − | 0.726160i | ||||||
\(915\) | −2.43235e6 | − | 7.27943e6i | −0.0960449 | − | 0.287438i | ||||
\(916\) | −2.67406e7 | − | 1.94282e7i | −1.05301 | − | 0.765055i | ||||
\(917\) | 5.28594e6 | + | 7.27547e6i | 0.207586 | + | 0.285718i | ||||
\(918\) | 1.44993e7 | − | 4.87291e7i | 0.567858 | − | 1.90846i | ||||
\(919\) | 2.26242e7 | + | 7.35106e6i | 0.883660 | + | 0.287118i | 0.715476 | − | 0.698637i | \(-0.246210\pi\) |
0.168184 | + | 0.985756i | \(0.446210\pi\) | |||||||
\(920\) | −1.75744e7 | + | 1.27686e7i | −0.684560 | + | 0.497362i | ||||
\(921\) | −1.73485e7 | + | 2.43006e7i | −0.673926 | + | 0.943993i | ||||
\(922\) | 1.23911e7 | + | 3.81358e7i | 0.480045 | + | 1.47743i | ||||
\(923\) | 2.11256e7 | 0.816216 | ||||||||
\(924\) | 5.23647e7 | + | 9.65839e6i | 2.01771 | + | 0.372156i | ||||
\(925\) | 558415. | 0.0214586 | ||||||||
\(926\) | −3.49317e6 | − | 1.07509e7i | −0.133873 | − | 0.412019i | ||||
\(927\) | 1.07497e7 | + | 7.54013e6i | 0.410863 | + | 0.288190i | ||||
\(928\) | 7.13228e6 | − | 5.18190e6i | 0.271868 | − | 0.197524i | ||||
\(929\) | 3.91872e6 | + | 1.27327e6i | 0.148972 | + | 0.0484040i | 0.382554 | − | 0.923933i | \(-0.375045\pi\) |
−0.233582 | + | 0.972337i | \(0.575045\pi\) | |||||||
\(930\) | −7.01317e6 | − | 2.21440e6i | −0.265893 | − | 0.0839553i | ||||
\(931\) | 1.40802e6 | + | 1.93798e6i | 0.0532396 | + | 0.0732781i | ||||
\(932\) | 4.82678e7 | + | 3.50686e7i | 1.82020 | + | 1.32245i | ||||
\(933\) | −3.55649e7 | + | 1.18837e7i | −1.33757 | + | 0.446937i | ||||
\(934\) | 1.74547e6i | 0.0654705i | ||||||||
\(935\) | −1.14631e6 | − | 9.23862e6i | −0.0428817 | − | 0.345604i | ||||
\(936\) | 435770. | + | 2.61928e7i | 0.0162580 | + | 0.977220i | ||||
\(937\) | 1.43672e6 | − | 466819.i | 0.0534593 | − | 0.0173700i | −0.282165 | − | 0.959366i | \(-0.591053\pi\) |
0.335625 | + | 0.941996i | \(0.391053\pi\) | |||||||
\(938\) | −2.11228e7 | + | 2.90731e7i | −0.783871 | + | 1.07891i | ||||
\(939\) | 1.73466e7 | − | 1.28249e7i | 0.642025 | − | 0.474667i | ||||
\(940\) | 4.14568e6 | − | 1.27591e7i | 0.153030 | − | 0.470977i | ||||
\(941\) | −1.31692e7 | + | 4.05307e7i | −0.484826 | + | 1.49214i | 0.347406 | + | 0.937715i | \(0.387063\pi\) |
−0.832232 | + | 0.554427i | \(0.812937\pi\) | |||||||
\(942\) | −290256. | + | 214594.i | −0.0106575 | + | 0.00787936i | ||||
\(943\) | −3.52700e7 | + | 4.85450e7i | −1.29159 | + | 1.77773i | ||||
\(944\) | 3.47076e7 | − | 1.12772e7i | 1.26764 | − | 0.411880i | ||||
\(945\) | 8.23640e6 | − | 205567.i | 0.300025 | − | 0.00748816i | ||||
\(946\) | −1.26937e7 | + | 2.29690e7i | −0.461169 | + | 0.834476i | ||||
\(947\) | 1.01952e7i | 0.369422i | 0.982793 | + | 0.184711i | \(0.0591349\pi\) | ||||
−0.982793 | + | 0.184711i | \(0.940865\pi\) | |||||||
\(948\) | −8.47616e7 | + | 2.83223e7i | −3.06322 | + | 1.02355i | ||||
\(949\) | −7.71876e6 | − | 5.60801e6i | −0.278216 | − | 0.202136i | ||||
\(950\) | 4.49072e7 | + | 6.18095e7i | 1.61438 | + | 2.22201i | ||||
\(951\) | 4.29730e7 | + | 1.35687e7i | 1.54079 | + | 0.486503i | ||||
\(952\) | 5.71063e7 | + | 1.85550e7i | 2.04217 | + | 0.663541i | ||||
\(953\) | −1.63569e7 | + | 1.18840e7i | −0.583403 | + | 0.423867i | −0.839949 | − | 0.542665i | \(-0.817415\pi\) |
0.256547 | + | 0.966532i | \(0.417415\pi\) | |||||||
\(954\) | 1.82741e7 | − | 2.60528e7i | 0.650079 | − | 0.926795i | ||||
\(955\) | −312596. | − | 962071.i | −0.0110911 | − | 0.0341349i | ||||
\(956\) | −5.08311e7 | −1.79881 | ||||||||
\(957\) | 1.72025e7 | − | 1.63529e7i | 0.607173 | − | 0.577184i | ||||
\(958\) | 9.36411e7 | 3.29650 | ||||||||
\(959\) | −9.66069e6 | − | 2.97326e7i | −0.339205 | − | 1.04396i | ||||
\(960\) | 3.21425e6 | − | 4.50231e6i | 0.112564 | − | 0.157673i | ||||
\(961\) | 1.70672e7 | − | 1.24000e7i | 0.596148 | − | 0.433127i | ||||
\(962\) | 571041. | + | 185543.i | 0.0198944 | + | 0.00646407i | ||||
\(963\) | −4.44479e6 | + | 1.44958e7i | −0.154449 | + | 0.503707i | ||||
\(964\) | −2.01342e7 | − | 2.77124e7i | −0.697818 | − | 0.960464i | ||||
\(965\) | −410217. | − | 298040.i | −0.0141806 | − | 0.0103028i | ||||
\(966\) | −2.21595e7 | − | 6.63177e7i | −0.764040 | − | 2.28658i | ||||
\(967\) | − | 3.21259e7i | − | 1.10481i | −0.833575 | − | 0.552407i | \(-0.813710\pi\) | ||
0.833575 | − | 0.552407i | \(-0.186290\pi\) | |||||||
\(968\) | −3.64912e7 | + | 4.37142e7i | −1.25170 | + | 1.49946i | ||||
\(969\) | −472732. | − | 5.68328e7i | −0.0161735 | − | 1.94442i | ||||
\(970\) | −3.88108e6 | + | 1.26104e6i | −0.132441 | + | 0.0430328i | ||||
\(971\) | 1.68911e6 | − | 2.32485e6i | 0.0574922 | − | 0.0791312i | −0.779303 | − | 0.626648i | \(-0.784427\pi\) |
0.836795 | + | 0.547516i | \(0.184427\pi\) | |||||||
\(972\) | −4.86714e7 | + | 3.85528e7i | −1.65237 | + | 1.30885i | ||||
\(973\) | 1.86932e6 | − | 5.75317e6i | 0.0632996 | − | 0.194816i | ||||
\(974\) | 1.79267e7 | − | 5.51726e7i | 0.605483 | − | 1.86349i | ||||
\(975\) | −7.99044e6 | − | 1.08077e7i | −0.269190 | − | 0.364101i | ||||
\(976\) | −2.29605e7 | + | 3.16024e7i | −0.771537 | + | 1.06193i | ||||
\(977\) | −4.05599e7 | + | 1.31787e7i | −1.35944 | + | 0.441710i | −0.895857 | − | 0.444343i | \(-0.853437\pi\) |
−0.463586 | + | 0.886052i | \(0.653437\pi\) | |||||||
\(978\) | 8.44245e6 | − | 70223.7i | 0.282242 | − | 0.00234767i | ||||
\(979\) | 1.34888e7 | + | 1.44281e7i | 0.449797 | + | 0.481118i | ||||
\(980\) | − | 1.02809e6i | − | 0.0341953i | ||||||
\(981\) | −2.09620e7 | + | 7.19864e6i | −0.695442 | + | 0.238824i | ||||
\(982\) | −6.59823e7 | − | 4.79390e7i | −2.18348 | − | 1.58639i | ||||
\(983\) | 2.11256e7 | + | 2.90769e7i | 0.697309 | + | 0.959764i | 0.999978 | + | 0.00666811i | \(0.00212254\pi\) |
−0.302668 | + | 0.953096i | \(0.597877\pi\) | |||||||
\(984\) | −2.79373e7 | + | 8.84795e7i | −0.919806 | + | 2.91310i | ||||
\(985\) | −1.18384e7 | − | 3.84653e6i | −0.388779 | − | 0.126322i | ||||
\(986\) | 4.11965e7 | − | 2.99310e7i | 1.34948 | − | 0.980457i | ||||
\(987\) | 1.84723e7 | + | 1.31876e7i | 0.603572 | + | 0.430896i | ||||
\(988\) | 1.72175e7 | + | 5.29900e7i | 0.561148 | + | 1.72704i | ||||
\(989\) | 2.33729e7 | 0.759840 | ||||||||
\(990\) | −7.86304e6 | + | 1.48045e7i | −0.254978 | + | 0.480071i | ||||
\(991\) | −3.09198e7 | −1.00012 | −0.500060 | − | 0.865991i | \(-0.666689\pi\) | ||||
−0.500060 | + | 0.865991i | \(0.666689\pi\) | |||||||
\(992\) | 1.97076e6 | + | 6.06537e6i | 0.0635849 | + | 0.195694i | ||||
\(993\) | 1.37166e7 | + | 9.79244e6i | 0.441442 | + | 0.315150i | ||||
\(994\) | −7.05393e7 | + | 5.12498e7i | −2.26446 | + | 1.64523i | ||||
\(995\) | 6.53568e6 | + | 2.12357e6i | 0.209283 | + | 0.0680001i | ||||
\(996\) | −2.35274e7 | + | 7.45131e7i | −0.751494 | + | 2.38004i | ||||
\(997\) | −1.82818e7 | − | 2.51628e7i | −0.582480 | − | 0.801716i | 0.411484 | − | 0.911417i | \(-0.365011\pi\) |
−0.993965 | + | 0.109701i | \(0.965011\pi\) | |||||||
\(998\) | −7.33631e7 | − | 5.33014e7i | −2.33158 | − | 1.69400i | ||||
\(999\) | 248823. | + | 705403.i | 0.00788818 | + | 0.0223627i |
(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 | 33.6.f.a.17.18 | yes | 72 | |
3.2 | odd | 2 | inner | 33.6.f.a.17.1 | yes | 72 | |
11.2 | odd | 10 | inner | 33.6.f.a.2.1 | ✓ | 72 | |
33.2 | even | 10 | inner | 33.6.f.a.2.18 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.f.a.2.1 | ✓ | 72 | 11.2 | odd | 10 | inner | |
33.6.f.a.2.18 | yes | 72 | 33.2 | even | 10 | inner | |
33.6.f.a.17.1 | yes | 72 | 3.2 | odd | 2 | inner | |
33.6.f.a.17.18 | yes | 72 | 1.1 | even | 1 | trivial |