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 | 2.1 | ||
Character | \(\chi\) | \(=\) | 33.2 |
Dual form | 33.6.f.a.17.1 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(-1\) |
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 | 0.176742 | + | 0.984257i | \(0.443444\pi\) |
−0.721519 | + | 0.692395i | \(0.756556\pi\) | |||||||
\(3\) | −12.5347 | + | 9.26724i | −0.804100 | + | 0.594494i | ||||
\(4\) | −54.5716 | − | 39.6486i | −1.70536 | − | 1.23902i | ||||
\(5\) | 16.3931 | − | 5.32643i | 0.293248 | − | 0.0952821i | −0.158698 | − | 0.987327i | \(-0.550730\pi\) |
0.451947 | + | 0.892045i | \(0.350730\pi\) | |||||||
\(6\) | −49.2674 | − | 147.445i | −0.558704 | − | 1.67206i | ||||
\(7\) | −74.1699 | + | 102.086i | −0.572114 | + | 0.787448i | −0.992803 | − | 0.119757i | \(-0.961788\pi\) |
0.420689 | + | 0.907205i | \(0.361788\pi\) | |||||||
\(8\) | 286.047 | − | 207.825i | 1.58020 | − | 1.14808i | ||||
\(9\) | 71.2363 | − | 232.324i | 0.293154 | − | 0.956065i | ||||
\(10\) | 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 | 0.0612456 | − | 0.998123i | \(-0.480493\pi\) |
−0.537133 | + | 0.843498i | \(0.680493\pi\) | |||||||
\(14\) | −739.673 | − | 1018.07i | −1.00860 | − | 1.38822i | ||||
\(15\) | −156.121 | + | 218.684i | −0.179156 | + | 0.250951i | ||||
\(16\) | 422.592 | + | 1300.60i | 0.412687 | + | 1.27012i | ||||
\(17\) | −415.883 | − | 1279.96i | −0.349019 | − | 1.07417i | −0.959397 | − | 0.282060i | \(-0.908982\pi\) |
0.610378 | − | 0.792110i | \(-0.291018\pi\) | |||||||
\(18\) | 1983.96 | + | 1391.60i | 1.44329 | + | 1.01236i | ||||
\(19\) | −1592.36 | − | 2191.69i | −1.01195 | − | 1.39282i | −0.917700 | − | 0.397274i | \(-0.869956\pi\) |
−0.0942452 | − | 0.995549i | \(-0.530044\pi\) | |||||||
\(20\) | −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 | \(0.752072\pi\) | |||||||
\(24\) | −1659.54 | + | 5255.89i | −0.588111 | + | 1.86259i | ||||
\(25\) | −2287.82 | + | 1662.20i | −0.732101 | + | 0.531903i | ||||
\(26\) | 1787.26 | − | 2459.95i | 0.518505 | − | 0.713661i | ||||
\(27\) | 1260.08 | + | 3572.27i | 0.332650 | + | 0.943050i | ||||
\(28\) | 8095.14 | − | 2630.27i | 1.95132 | − | 0.634024i | ||||
\(29\) | −3069.44 | − | 2230.08i | −0.677742 | − | 0.492408i | 0.194866 | − | 0.980830i | \(-0.437573\pi\) |
−0.872608 | + | 0.488422i | \(0.837573\pi\) | |||||||
\(30\) | −1593.00 | − | 2154.66i | −0.323157 | − | 0.437095i | ||||
\(31\) | 848.134 | − | 2610.29i | 0.158511 | − | 0.487847i | −0.839989 | − | 0.542604i | \(-0.817438\pi\) |
0.998500 | + | 0.0547568i | \(0.0174384\pi\) | |||||||
\(32\) | −2323.64 | −0.401138 | ||||||||
\(33\) | −6214.41 | − | 718.637i | −0.993380 | − | 0.114875i | ||||
\(34\) | 13421.5 | 1.99115 | ||||||||
\(35\) | −672.118 | + | 2068.57i | −0.0927418 | + | 0.285430i | ||||
\(36\) | −13098.8 | + | 9853.86i | −1.68452 | + | 1.26722i | ||||
\(37\) | −159.754 | − | 116.068i | −0.0191843 | − | 0.0139382i | 0.578152 | − | 0.815929i | \(-0.303774\pi\) |
−0.597336 | + | 0.801991i | \(0.703774\pi\) | |||||||
\(38\) | 25694.5 | − | 8348.65i | 2.88656 | − | 0.937902i | ||||
\(39\) | 4507.91 | − | 1506.28i | 0.474585 | − | 0.158578i | ||||
\(40\) | 3582.22 | − | 4930.50i | 0.353999 | − | 0.487238i | ||||
\(41\) | −13619.3 | + | 9894.99i | −1.26530 | + | 0.919297i | −0.999005 | − | 0.0445934i | \(-0.985801\pi\) |
−0.266299 | + | 0.963891i | \(0.585801\pi\) | |||||||
\(42\) | 18706.3 | + | 5906.48i | 1.63630 | + | 0.516661i | ||||
\(43\) | 6557.27i | 0.540819i | 0.962745 | + | 0.270410i | \(0.0871591\pi\) | ||||
−0.962745 | + | 0.270410i | \(0.912841\pi\) | |||||||
\(44\) | −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 | \(-0.324405\pi\) |
−0.971932 | + | 0.235262i | \(0.924405\pi\) | |||||||
\(48\) | −17350.1 | − | 12386.4i | −1.08692 | − | 0.775964i | ||||
\(49\) | 273.244 | + | 840.959i | 0.0162578 | + | 0.0500362i | ||||
\(50\) | −8714.80 | − | 26821.4i | −0.492983 | − | 1.51725i | ||||
\(51\) | 17074.6 | + | 12189.8i | 0.919234 | + | 0.656250i | ||||
\(52\) | 12088.8 | + | 16638.8i | 0.619977 | + | 0.853325i | ||||
\(53\) | 12489.0 | + | 4057.92i | 0.610714 | + | 0.198433i | 0.598013 | − | 0.801486i | \(-0.295957\pi\) |
0.0127007 | + | 0.999919i | \(0.495957\pi\) | |||||||
\(54\) | −37764.7 | + | 942.546i | −1.76239 | + | 0.0439864i | ||||
\(55\) | 6265.46 | + | 2931.36i | 0.279284 | + | 0.130666i | ||||
\(56\) | 44615.8i | 1.90116i | ||||||||
\(57\) | 40270.7 | + | 12715.4i | 1.64173 | + | 0.518374i | ||||
\(58\) | 30610.5 | − | 22239.9i | 1.19482 | − | 0.868084i | ||||
\(59\) | −15685.5 | + | 21589.2i | −0.586635 | + | 0.807434i | −0.994403 | − | 0.105651i | \(-0.966307\pi\) |
0.407768 | + | 0.913086i | \(0.366307\pi\) | |||||||
\(60\) | 17190.3 | − | 5743.96i | 0.616459 | − | 0.205984i | ||||
\(61\) | −27166.3 | + | 8826.87i | −0.934773 | + | 0.303726i | −0.736513 | − | 0.676424i | \(-0.763529\pi\) |
−0.198260 | + | 0.980150i | \(0.563529\pi\) | |||||||
\(62\) | 22143.7 | + | 16088.4i | 0.731597 | + | 0.531536i | ||||
\(63\) | 18433.5 | + | 24503.7i | 0.585134 | + | 0.777822i | ||||
\(64\) | −6362.11 | + | 19580.6i | −0.194156 | + | 0.597552i | ||||
\(65\) | −5255.46 | −0.154286 | ||||||||
\(66\) | 25967.1 | − | 56726.4i | 0.733776 | − | 1.60297i | ||||
\(67\) | −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 | ||||
\(69\) | −33032.4 | − | 44678.9i | −0.835252 | − | 1.12974i | ||||
\(70\) | −17548.2 | − | 12749.5i | −0.428043 | − | 0.310992i | ||||
\(71\) | 65896.0 | − | 21410.9i | 1.55136 | − | 0.504068i | 0.596879 | − | 0.802331i | \(-0.296407\pi\) |
0.954484 | + | 0.298263i | \(0.0964073\pi\) | |||||||
\(72\) | −27905.8 | − | 81260.2i | −0.634400 | − | 1.84734i | ||||
\(73\) | 18393.0 | − | 25315.8i | 0.403966 | − | 0.556012i | −0.557768 | − | 0.829997i | \(-0.688342\pi\) |
0.961734 | + | 0.273985i | \(0.0883419\pi\) | |||||||
\(74\) | 1593.17 | − | 1157.51i | 0.0338207 | − | 0.0245722i | ||||
\(75\) | 13273.1 | − | 42036.8i | 0.272470 | − | 0.862933i | ||||
\(76\) | 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 | −0.529964 | − | 0.848020i | \(-0.677795\pi\) |
−0.927204 | + | 0.374557i | \(0.877795\pi\) | |||||||
\(80\) | 13855.2 | + | 19070.0i | 0.242040 | + | 0.333139i | ||||
\(81\) | −48899.8 | − | 33099.8i | −0.828122 | − | 0.560548i | ||||
\(82\) | −51878.9 | − | 159667.i | −0.852033 | − | 2.62229i | ||||
\(83\) | 22963.6 | + | 70674.6i | 0.365885 | + | 1.12608i | 0.949425 | + | 0.313993i | \(0.101667\pi\) |
−0.583541 | + | 0.812084i | \(0.698333\pi\) | |||||||
\(84\) | −77094.7 | + | 107989.i | −1.19214 | + | 1.66987i | ||||
\(85\) | −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 | \(-0.106818\pi\) | |||||||
\(90\) | 39935.5 | + | 12245.2i | 0.519701 | + | 0.159353i | ||||
\(91\) | 31126.0 | − | 22614.4i | 0.394021 | − | 0.286273i | ||||
\(92\) | 141324. | − | 194516.i | 1.74080 | − | 2.39600i | ||||
\(93\) | 13559.1 | + | 40579.0i | 0.162563 | + | 0.486512i | ||||
\(94\) | 109438. | − | 35558.6i | 1.27746 | − | 0.415073i | ||||
\(95\) | −37777.6 | − | 27447.0i | −0.429462 | − | 0.312023i | ||||
\(96\) | 29126.1 | − | 21533.7i | 0.322555 | − | 0.238474i | ||||
\(97\) | −7336.07 | + | 22578.1i | −0.0791651 | + | 0.243645i | −0.982805 | − | 0.184649i | \(-0.940885\pi\) |
0.903639 | + | 0.428294i | \(0.140885\pi\) | |||||||
\(98\) | −8818.20 | −0.0927502 | ||||||||
\(99\) | 84555.5 | − | 48582.6i | 0.867069 | − | 0.498188i | ||||
\(100\) | 190753. | 1.90753 | ||||||||
\(101\) | 13737.8 | − | 42280.6i | 0.134003 | − | 0.412418i | −0.861431 | − | 0.507875i | \(-0.830431\pi\) |
0.995434 | + | 0.0954569i | \(0.0304312\pi\) | |||||||
\(102\) | −168234. | + | 124380.i | −1.60108 | + | 1.18372i | ||||
\(103\) | 43715.1 | + | 31760.9i | 0.406012 | + | 0.294985i | 0.771985 | − | 0.635640i | \(-0.219264\pi\) |
−0.365973 | + | 0.930625i | \(0.619264\pi\) | |||||||
\(104\) | −102528. | + | 33313.3i | −0.929520 | + | 0.302019i | ||||
\(105\) | −10745.1 | − | 32157.5i | −0.0951127 | − | 0.284649i | ||||
\(106\) | −76975.3 | + | 105947.i | −0.665406 | + | 0.915853i | ||||
\(107\) | −50478.6 | + | 36674.9i | −0.426234 | + | 0.309677i | −0.780141 | − | 0.625603i | \(-0.784853\pi\) |
0.353907 | + | 0.935281i | \(0.384853\pi\) | |||||||
\(108\) | 72871.0 | − | 244905.i | 0.601167 | − | 2.02040i | ||||
\(109\) | − | 91208.5i | − | 0.735307i | −0.929963 | − | 0.367654i | \(-0.880161\pi\) | ||
0.929963 | − | 0.367654i | \(-0.119839\pi\) | |||||||
\(110\) | −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 | \(-0.0762142\pi\) |
−0.525747 | + | 0.850641i | \(0.676214\pi\) | |||||||
\(114\) | −244703. | + | 342765.i | −1.76351 | + | 2.47021i | ||||
\(115\) | 18985.7 | + | 58431.9i | 0.133870 | + | 0.412008i | ||||
\(116\) | 79084.8 | + | 243398.i | 0.545693 | + | 1.67947i | ||||
\(117\) | −42546.2 | + | 60656.6i | −0.287340 | + | 0.409651i | ||||
\(118\) | −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 | ||||||
\(123\) | 79014.1 | − | 250244.i | 0.470914 | − | 1.49142i | ||||
\(124\) | −149778. | + | 108820.i | −0.874771 | + | 0.635558i | ||||
\(125\) | −60311.6 | + | 83011.9i | −0.345244 | + | 0.475188i | ||||
\(126\) | −289214. | + | 99319.9i | −1.62290 | + | 0.557327i | ||||
\(127\) | −24025.4 | + | 7806.32i | −0.132179 | + | 0.0429474i | −0.374359 | − | 0.927284i | \(-0.622137\pi\) |
0.242181 | + | 0.970231i | \(0.422137\pi\) | |||||||
\(128\) | −226263. | − | 164390.i | −1.22064 | − | 0.886848i | ||||
\(129\) | −60767.8 | − | 82193.3i | −0.321514 | − | 0.434873i | ||||
\(130\) | 16195.9 | − | 49845.8i | 0.0840516 | − | 0.258684i | ||||
\(131\) | 71268.0 | 0.362841 | 0.181420 | − | 0.983406i | \(-0.441931\pi\) | ||||
0.181420 | + | 0.983406i | \(0.441931\pi\) | |||||||
\(132\) | 310638. | + | 285610.i | 1.55174 | + | 1.42672i | ||||
\(133\) | 341847. | 1.67572 | ||||||||
\(134\) | 88004.8 | − | 270851.i | 0.423394 | − | 1.30307i | ||||
\(135\) | 39684.0 | + | 51848.8i | 0.187405 | + | 0.244852i | ||||
\(136\) | −384969. | − | 279696.i | −1.78476 | − | 1.29670i | ||||
\(137\) | −235626. | + | 76559.5i | −1.07256 | + | 0.348496i | −0.791484 | − | 0.611190i | \(-0.790691\pi\) |
−0.281076 | + | 0.959686i | \(0.590691\pi\) | |||||||
\(138\) | 525558. | − | 175610.i | 2.34921 | − | 0.784968i | ||||
\(139\) | 28178.0 | − | 38783.7i | 0.123701 | − | 0.170260i | −0.742675 | − | 0.669652i | \(-0.766443\pi\) |
0.866376 | + | 0.499392i | \(0.166443\pi\) | |||||||
\(140\) | 118694. | − | 86236.5i | 0.511811 | − | 0.371853i | ||||
\(141\) | 171521. | + | 54157.4i | 0.726556 | + | 0.229409i | ||||
\(142\) | 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 | ||||
\(147\) | −11218.4 | − | 8008.93i | −0.0428191 | − | 0.0305690i | ||||
\(148\) | 4116.09 | + | 12668.0i | 0.0154465 | + | 0.0475395i | ||||
\(149\) | 59646.3 | + | 183572.i | 0.220099 | + | 0.677395i | 0.998752 | + | 0.0499404i | \(0.0159031\pi\) |
−0.778653 | + | 0.627454i | \(0.784097\pi\) | |||||||
\(150\) | 357798. | + | 255435.i | 1.29840 | + | 0.926943i | ||||
\(151\) | 247390. | + | 340504.i | 0.882959 | + | 1.21529i | 0.975593 | + | 0.219589i | \(0.0704715\pi\) |
−0.0926334 | + | 0.995700i | \(0.529528\pi\) | |||||||
\(152\) | −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 | ||||||
\(156\) | −305726. | − | 96532.4i | −1.00582 | − | 0.317586i | ||||
\(157\) | −1878.51 | + | 1364.82i | −0.00608225 | + | 0.00441902i | −0.590822 | − | 0.806802i | \(-0.701197\pi\) |
0.584740 | + | 0.811221i | \(0.301197\pi\) | |||||||
\(158\) | 498197. | − | 685710.i | 1.58766 | − | 2.18523i | ||||
\(159\) | −194151. | + | 64873.8i | −0.609042 | + | 0.203506i | ||||
\(160\) | −38091.6 | + | 12376.7i | −0.117633 | + | 0.0382213i | ||||
\(161\) | −363879. | − | 264373.i | −1.10635 | − | 0.803809i | ||||
\(162\) | 464633. | − | 361789.i | 1.39099 | − | 1.08310i | ||||
\(163\) | 16782.3 | − | 51650.6i | 0.0494746 | − | 0.152267i | −0.923267 | − | 0.384159i | \(-0.874492\pi\) |
0.972742 | + | 0.231892i | \(0.0744915\pi\) | |||||||
\(164\) | 1.13555e6 | 3.29683 | ||||||||
\(165\) | −105701. | + | 21320.0i | −0.302252 | + | 0.0609645i | ||||
\(166\) | −741086. | −2.08737 | ||||||||
\(167\) | −27781.1 | + | 85501.4i | −0.0770829 | + | 0.237237i | −0.982172 | − | 0.187986i | \(-0.939804\pi\) |
0.905089 | + | 0.425222i | \(0.139804\pi\) | |||||||
\(168\) | −413465. | − | 559245.i | −1.13023 | − | 1.52872i | ||||
\(169\) | −225173. | − | 163598.i | −0.606457 | − | 0.440617i | ||||
\(170\) | 220019. | − | 71488.6i | 0.583900 | − | 0.189721i | ||||
\(171\) | −622617. | + | 213815.i | −1.62829 | + | 0.559175i | ||||
\(172\) | 259987. | − | 357841.i | 0.670085 | − | 0.922293i | ||||
\(173\) | −374003. | + | 271729.i | −0.950080 | + | 0.690274i | −0.950826 | − | 0.309726i | \(-0.899763\pi\) |
0.000745610 | 1.00000i | \(0.499763\pi\) | ||||||||
\(174\) | −177591. | + | 562445.i | −0.444680 | + | 1.40834i | ||||
\(175\) | − | 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 | 0.941398 | + | 0.337299i | \(0.109513\pi\) |
0.0298823 | + | 0.999553i | \(0.490487\pi\) | |||||||
\(180\) | −162244. | + | 231305.i | −0.373238 | + | 0.532113i | ||||
\(181\) | 21713.4 | + | 66826.9i | 0.0492641 | + | 0.151619i | 0.972662 | − | 0.232224i | \(-0.0746002\pi\) |
−0.923398 | + | 0.383843i | \(0.874600\pi\) | |||||||
\(182\) | 118566. | + | 364908.i | 0.265327 | + | 0.816592i | ||||
\(183\) | 258720. | − | 362399.i | 0.571087 | − | 0.799943i | ||||
\(184\) | 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 | ||||||||
\(189\) | −458139. | − | 136319.i | −0.932917 | − | 0.277588i | ||||
\(190\) | 376743. | − | 273720.i | 0.757115 | − | 0.550076i | ||||
\(191\) | −34495.7 | + | 47479.3i | −0.0684198 | + | 0.0941718i | −0.841856 | − | 0.539703i | \(-0.818537\pi\) |
0.773436 | + | 0.633875i | \(0.218537\pi\) | |||||||
\(192\) | −101711. | − | 304395.i | −0.199120 | − | 0.595916i | ||||
\(193\) | 27977.4 | − | 9090.41i | 0.0540648 | − | 0.0175667i | −0.281860 | − | 0.959456i | \(-0.590951\pi\) |
0.335925 | + | 0.941889i | \(0.390951\pi\) | |||||||
\(194\) | −191536. | − | 139159.i | −0.365381 | − | 0.265465i | ||||
\(195\) | 65875.5 | − | 48703.6i | 0.124062 | − | 0.0917222i | ||||
\(196\) | 18431.5 | − | 56726.2i | 0.0342704 | − | 0.105474i | ||||
\(197\) | −722159. | −1.32577 | −0.662884 | − | 0.748722i | \(-0.730668\pi\) | ||||
−0.662884 | + | 0.748722i | \(0.730668\pi\) | |||||||
\(198\) | 200209. | + | 951691.i | 0.362928 | + | 1.72517i | ||||
\(199\) | −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 | ||||
\(201\) | 357953. | − | 264645.i | 0.624936 | − | 0.462033i | ||||
\(202\) | 358677. | + | 260594.i | 0.618480 | + | 0.449352i | ||||
\(203\) | 455321. | − | 147943.i | 0.775492 | − | 0.251973i | ||||
\(204\) | −448483. | − | 1.34220e6i | −0.754520 | − | 2.25809i | ||||
\(205\) | −170557. | + | 234752.i | −0.283456 | + | 0.390143i | ||||
\(206\) | −435957. | + | 316741.i | −0.715773 | + | 0.520040i | ||||
\(207\) | 828101. | + | 253917.i | 1.34325 | + | 0.411875i | ||||
\(208\) | − | 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 | 0.528519 | − | 0.848922i | \(-0.322748\pi\) |
−0.0714029 | + | 0.997448i | \(0.522748\pi\) | |||||||
\(212\) | −520653. | − | 716618.i | −0.795626 | − | 1.09509i | ||||
\(213\) | −627565. | + | 879053.i | −0.947785 | + | 1.32760i | ||||
\(214\) | −192284. | − | 591790.i | −0.287018 | − | 0.883351i | ||||
\(215\) | 34926.9 | + | 107494.i | 0.0515304 | + | 0.158594i | ||||
\(216\) | 1.10285e6 | + | 759960.i | 1.60835 | + | 1.10830i | ||||
\(217\) | 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 | ||||||||
\(222\) | −9242.99 | + | 29273.3i | −0.0125872 | + | 0.0398647i | ||||
\(223\) | −856628. | + | 622377.i | −1.15353 | + | 0.838091i | −0.988947 | − | 0.148271i | \(-0.952629\pi\) |
−0.164587 | + | 0.986363i | \(0.552629\pi\) | |||||||
\(224\) | 172344. | − | 237211.i | 0.229497 | − | 0.315875i | ||||
\(225\) | 223192. | + | 649923.i | 0.293915 | + | 0.855866i | ||||
\(226\) | −976253. | + | 317204.i | −1.27143 | + | 0.413112i | ||||
\(227\) | 242231. | + | 175991.i | 0.312008 | + | 0.226687i | 0.732758 | − | 0.680490i | \(-0.238233\pi\) |
−0.420750 | + | 0.907177i | \(0.638233\pi\) | |||||||
\(228\) | −1.69349e6 | − | 2.29058e6i | −2.15747 | − | 2.91815i | ||||
\(229\) | 151421. | − | 466026.i | 0.190808 | − | 0.587248i | −0.809192 | − | 0.587545i | \(-0.800095\pi\) |
1.00000 | 0.000297029i | \(9.45474e-5\pi\) | ||||||||
\(230\) | −612711. | −0.763723 | ||||||||
\(231\) | 534286. | − | 581104.i | 0.658785 | − | 0.716513i | ||||
\(232\) | −1.34147e6 | −1.63629 | ||||||||
\(233\) | 273321. | − | 841197.i | 0.329825 | − | 1.01510i | −0.639390 | − | 0.768883i | \(-0.720813\pi\) |
0.969215 | − | 0.246215i | \(-0.0791869\pi\) | |||||||
\(234\) | −444187. | − | 590460.i | −0.530305 | − | 0.704937i | ||||
\(235\) | −160902. | − | 116902.i | −0.190061 | − | 0.138087i | ||||
\(236\) | 1.71197e6 | − | 556251.i | 2.00085 | − | 0.650116i | ||||
\(237\) | 1.25658e6 | − | 419875.i | 1.45318 | − | 0.485566i | ||||
\(238\) | −995471. | + | 1.37015e6i | −1.13916 | + | 1.56792i | ||||
\(239\) | −609646. | + | 442934.i | −0.690372 | + | 0.501585i | −0.876782 | − | 0.480887i | \(-0.840315\pi\) |
0.186410 | + | 0.982472i | \(0.440315\pi\) | |||||||
\(240\) | −350396. | − | 110637.i | −0.392673 | − | 0.123986i | ||||
\(241\) | − | 507817.i | − | 0.563202i | −0.959532 | − | 0.281601i | \(-0.909135\pi\) | ||
0.959532 | − | 0.281601i | \(-0.0908655\pi\) | |||||||
\(242\) | −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 | ||||
\(246\) | 2.12996e6 | + | 1.52060e6i | 2.24405 | + | 1.60205i | ||||
\(247\) | 255247. | + | 785570.i | 0.266206 | + | 0.819299i | ||||
\(248\) | −299877. | − | 922927.i | −0.309610 | − | 0.952880i | ||||
\(249\) | −942800. | − | 673074.i | −0.963654 | − | 0.687963i | ||||
\(250\) | −601468. | − | 827850.i | −0.608643 | − | 0.837725i | ||||
\(251\) | 1.43568e6 | + | 466480.i | 1.43838 | + | 0.467357i | 0.921391 | − | 0.388638i | \(-0.127054\pi\) |
0.516985 | + | 0.855994i | \(0.327054\pi\) | |||||||
\(252\) | −34406.5 | − | 2.06807e6i | −0.0341302 | − | 2.05146i | ||||
\(253\) | −976893. | + | 1.04492e6i | −0.959502 | + | 1.02632i | ||||
\(254\) | − | 251927.i | − | 0.245014i | ||||||
\(255\) | 344834. | + | 108881.i | 0.332093 | + | 0.104858i | ||||
\(256\) | 1.72345e6 | − | 1.25216e6i | 1.64361 | − | 1.19415i | ||||
\(257\) | 622580. | − | 856908.i | 0.587980 | − | 0.809285i | −0.406562 | − | 0.913623i | \(-0.633272\pi\) |
0.994542 | + | 0.104338i | \(0.0332724\pi\) | |||||||
\(258\) | 966838. | − | 323060.i | 0.904283 | − | 0.302158i | ||||
\(259\) | 23697.8 | − | 7699.90i | 0.0219513 | − | 0.00713240i | ||||
\(260\) | 286799. | + | 208371.i | 0.263114 | + | 0.191163i | ||||
\(261\) | −736756. | + | 554242.i | −0.669457 | + | 0.503614i | ||||
\(262\) | −219628. | + | 675947.i | −0.197667 | + | 0.608358i | ||||
\(263\) | −295852. | −0.263745 | −0.131873 | − | 0.991267i | \(-0.542099\pi\) | ||||
−0.131873 | + | 0.991267i | \(0.542099\pi\) | |||||||
\(264\) | −1.92696e6 | + | 1.08595e6i | −1.70162 | + | 0.958957i | ||||
\(265\) | 226347. | 0.197998 | ||||||||
\(266\) | −1.05348e6 | + | 3.24227e6i | −0.912896 | + | 2.80961i | ||||
\(267\) | 456107. | + | 616921.i | 0.391551 | + | 0.529604i | ||||
\(268\) | 1.55840e6 | + | 1.13224e6i | 1.32538 | + | 0.962948i | ||||
\(269\) | 1.15363e6 | − | 374838.i | 0.972046 | − | 0.315837i | 0.220404 | − | 0.975409i | \(-0.429262\pi\) |
0.751642 | + | 0.659572i | \(0.229262\pi\) | |||||||
\(270\) | −614059. | + | 216602.i | −0.512626 | + | 0.180823i | ||||
\(271\) | 901471. | − | 1.24077e6i | 0.745639 | − | 1.02628i | −0.252635 | − | 0.967562i | \(-0.581297\pi\) |
0.998274 | − | 0.0587225i | \(-0.0187027\pi\) | |||||||
\(272\) | 1.48897e6 | − | 1.08180e6i | 1.22029 | − | 0.886592i | ||||
\(273\) | −180582. | + | 571916.i | −0.146645 | + | 0.464436i | ||||
\(274\) | − | 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 | 0.132070 | − | 0.991240i | \(-0.457837\pi\) |
−0.475789 | + | 0.879559i | \(0.657837\pi\) | |||||||
\(278\) | 281010. | + | 386777.i | 0.218077 | + | 0.300157i | ||||
\(279\) | −546014. | − | 382989.i | −0.419946 | − | 0.294561i | ||||
\(280\) | 237643. | + | 731390.i | 0.181147 | + | 0.557512i | ||||
\(281\) | 3223.82 | + | 9921.89i | 0.00243559 | + | 0.00749598i | 0.952267 | − | 0.305267i | \(-0.0987456\pi\) |
−0.949831 | + | 0.312763i | \(0.898746\pi\) | |||||||
\(282\) | −1.04224e6 | + | 1.45990e6i | −0.780450 | + | 1.09320i | ||||
\(283\) | −470286. | − | 647293.i | −0.349056 | − | 0.480435i | 0.598003 | − | 0.801494i | \(-0.295961\pi\) |
−0.947059 | + | 0.321059i | \(0.895961\pi\) | |||||||
\(284\) | −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 | ||||||
\(288\) | −165528. | + | 539837.i | −0.117595 | + | 0.383514i | ||||
\(289\) | −316642. | + | 230054.i | −0.223010 | + | 0.162026i | ||||
\(290\) | 383342. | − | 527625.i | 0.267665 | − | 0.368409i | ||||
\(291\) | −117281. | − | 350994.i | −0.0811890 | − | 0.242978i | ||||
\(292\) | −2.00747e6 | + | 652267.i | −1.37782 | + | 0.447680i | ||||
\(293\) | 910633. | + | 661613.i | 0.619690 | + | 0.450231i | 0.852813 | − | 0.522216i | \(-0.174895\pi\) |
−0.233124 | + | 0.972447i | \(0.574895\pi\) | |||||||
\(294\) | 110533. | − | 81720.4i | 0.0745804 | − | 0.0551394i | ||||
\(295\) | −142140. | + | 437462.i | −0.0950958 | + | 0.292675i | ||||
\(296\) | −69818.8 | −0.0463173 | ||||||||
\(297\) | −609649. | + | 1.39256e6i | −0.401041 | + | 0.916060i | ||||
\(298\) | −1.92492e6 | −1.25566 | ||||||||
\(299\) | 335837. | − | 1.03360e6i | 0.217245 | − | 0.668612i | ||||
\(300\) | −2.39103e6 | + | 1.76776e6i | −1.53385 | + | 1.13402i | ||||
\(301\) | −669407. | − | 486352.i | −0.425867 | − | 0.309410i | ||||
\(302\) | −3.99192e6 | + | 1.29705e6i | −2.51863 | + | 0.818353i | ||||
\(303\) | 219626. | + | 657285.i | 0.137428 | + | 0.411289i | ||||
\(304\) | 2.17761e6 | − | 2.99722e6i | 1.35144 | − | 1.86009i | ||||
\(305\) | −398324. | + | 289399.i | −0.245181 | + | 0.178134i | ||||
\(306\) | 956097. | − | 3.11813e6i | 0.583712 | − | 1.90367i | ||||
\(307\) | 1.91538e6i | 1.15987i | 0.814663 | + | 0.579935i | \(0.196922\pi\) | ||||
−0.814663 | + | 0.579935i | \(0.803078\pi\) | |||||||
\(308\) | 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 | −0.988121 | − | 0.153681i | \(-0.950887\pi\) |
0.159187 | − | 0.987248i | \(-0.449113\pi\) | |||||||
\(312\) | 976431. | − | 1.36772e6i | 0.567878 | − | 0.795448i | ||||
\(313\) | −427646. | − | 1.31616e6i | −0.246731 | − | 0.759360i | −0.995347 | − | 0.0963562i | \(-0.969281\pi\) |
0.748616 | − | 0.663004i | \(-0.230719\pi\) | |||||||
\(314\) | −7155.67 | − | 22022.9i | −0.00409568 | − | 0.0126052i | ||||
\(315\) | 432698. | + | 303506.i | 0.245702 | + | 0.172342i | ||||
\(316\) | 3.36976e6 | + | 4.63808e6i | 1.89837 | + | 2.61288i | ||||
\(317\) | 2.74938e6 | + | 893329.i | 1.53669 | + | 0.499302i | 0.950462 | − | 0.310841i | \(-0.100611\pi\) |
0.586232 | + | 0.810143i | \(0.300611\pi\) | |||||||
\(318\) | −16979.9 | − | 2.04137e6i | −0.00941604 | − | 1.13202i | ||||
\(319\) | −288620. | − | 1.49499e6i | −0.158800 | − | 0.822546i | ||||
\(320\) | 354873.i | 0.193731i | ||||||||
\(321\) | 292858. | − | 927505.i | 0.158634 | − | 0.502405i | ||||
\(322\) | 3.62884e6 | − | 2.63651e6i | 1.95042 | − | 1.41706i | ||||
\(323\) | −2.14304e6 | + | 2.94964e6i | −1.14294 | + | 1.57312i | ||||
\(324\) | 1.35618e6 | + | 3.74512e6i | 0.717718 | + | 1.98200i | ||||
\(325\) | 820023. | − | 266442.i | 0.430643 | − | 0.139925i | ||||
\(326\) | 438165. | + | 318346.i | 0.228346 | + | 0.165903i | ||||
\(327\) | 845251. | + | 1.14327e6i | 0.437136 | + | 0.591261i | ||||
\(328\) | −1.83933e6 | + | 5.66086e6i | −0.944004 | + | 2.90535i | ||||
\(329\) | 1.45599e6 | 0.741600 | ||||||||
\(330\) | 123531. | − | 1.06823e6i | 0.0624440 | − | 0.539984i | ||||
\(331\) | −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 | ||||
\(333\) | −38345.6 | + | 28846.3i | −0.0189498 | + | 0.0142554i | ||||
\(334\) | −725331. | − | 526984.i | −0.355771 | − | 0.258482i | ||||
\(335\) | −468137. | + | 152107.i | −0.227909 | + | 0.0740520i | ||||
\(336\) | 2.55133e6 | − | 852504.i | 1.23287 | − | 0.411953i | ||||
\(337\) | 2.12194e6 | − | 2.92060e6i | 1.01779 | − | 1.40087i | 0.104048 | − | 0.994572i | \(-0.466820\pi\) |
0.913742 | − | 0.406295i | \(-0.133180\pi\) | |||||||
\(338\) | 2.24558e6 | − | 1.63151e6i | 1.06915 | − | 0.776779i | ||||
\(339\) | −1.53007e6 | − | 483117.i | −0.723123 | − | 0.228325i | ||||
\(340\) | 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 | ||||
\(345\) | −779482. | − | 556480.i | −0.352581 | − | 0.251711i | ||||
\(346\) | −1.42466e6 | − | 4.38466e6i | −0.639767 | − | 1.96900i | ||||
\(347\) | 120889. | + | 372057.i | 0.0538967 | + | 0.165877i | 0.974382 | − | 0.224901i | \(-0.0722059\pi\) |
−0.920485 | + | 0.390778i | \(0.872206\pi\) | |||||||
\(348\) | −3.24693e6 | − | 2.31802e6i | −1.43723 | − | 1.02605i | ||||
\(349\) | 432812. | + | 595714.i | 0.190211 | + | 0.261803i | 0.893462 | − | 0.449139i | \(-0.148269\pi\) |
−0.703251 | + | 0.710942i | \(0.748269\pi\) | |||||||
\(350\) | 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 | \(0.968917\pi\) | |||||||
\(354\) | 3.95601e6 | + | 1.24911e6i | 1.67784 | + | 0.529774i | ||||
\(355\) | 966195. | − | 701981.i | 0.406906 | − | 0.295634i | ||||
\(356\) | −1.95139e6 | + | 2.68586e6i | −0.816054 | + | 1.12320i | ||||
\(357\) | −2.51083e6 | + | 838970.i | −1.04267 | + | 0.348398i | ||||
\(358\) | −6.71856e6 | + | 2.18299e6i | −2.77057 | + | 0.900212i | ||||
\(359\) | −2.72419e6 | − | 1.97924e6i | −1.11558 | − | 0.810517i | −0.132047 | − | 0.991243i | \(-0.542155\pi\) |
−0.983533 | + | 0.180727i | \(0.942155\pi\) | |||||||
\(360\) | −890289. | − | 1.18347e6i | −0.362055 | − | 0.481282i | ||||
\(361\) | −1.50276e6 | + | 4.62502e6i | −0.606906 | + | 1.86786i | ||||
\(362\) | −700739. | −0.281051 | ||||||||
\(363\) | −1.62481e6 | − | 1.91384e6i | −0.647197 | − | 0.762323i | ||||
\(364\) | −2.59522e6 | −1.02665 | ||||||||
\(365\) | 166675. | − | 512973.i | 0.0654844 | − | 0.201540i | ||||
\(366\) | 2.63989e6 | + | 3.57066e6i | 1.03011 | + | 1.39331i | ||||
\(367\) | 1.27740e6 | + | 928086.i | 0.495065 | + | 0.359686i | 0.807129 | − | 0.590375i | \(-0.201020\pi\) |
−0.312064 | + | 0.950061i | \(0.601020\pi\) | |||||||
\(368\) | −4.63591e6 | + | 1.50630e6i | −1.78449 | + | 0.579817i | ||||
\(369\) | 1.32865e6 | + | 3.86897e6i | 0.507980 | + | 1.47921i | ||||
\(370\) | 19951.6 | − | 27461.0i | 0.00757658 | − | 0.0104283i | ||||
\(371\) | −1.34057e6 | + | 973977.i | −0.505654 | + | 0.367379i | ||||
\(372\) | 868958. | − | 2.75206e6i | 0.325568 | − | 1.03110i | ||||
\(373\) | 1.28174e6i | 0.477012i | 0.971141 | + | 0.238506i | \(0.0766577\pi\) | ||||
−0.971141 | + | 0.238506i | \(0.923342\pi\) | |||||||
\(374\) | 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 | ||||
\(378\) | 2.70478e6 | − | 3.92516e6i | 0.973650 | − | 1.41295i | ||||
\(379\) | 1.30191e6 | + | 4.00687e6i | 0.465568 | + | 1.43287i | 0.858267 | + | 0.513204i | \(0.171542\pi\) |
−0.392699 | + | 0.919667i | \(0.628458\pi\) | |||||||
\(380\) | 973347. | + | 2.99566e6i | 0.345787 | + | 1.06422i | ||||
\(381\) | 228807. | − | 320499.i | 0.0807528 | − | 0.113113i | ||||
\(382\) | −344015. | − | 473496.i | −0.120620 | − | 0.166019i | ||||
\(383\) | −4.85737e6 | − | 1.57825e6i | −1.69201 | − | 0.549769i | −0.704834 | − | 0.709373i | \(-0.748978\pi\) |
−0.987181 | + | 0.159604i | \(0.948978\pi\) | |||||||
\(384\) | 4.35957e6 | − | 36262.6i | 1.50874 | − | 0.0125496i | ||||
\(385\) | −763960. | + | 422199.i | −0.262675 | + | 0.145166i | ||||
\(386\) | 293368.i | 0.100218i | ||||||||
\(387\) | 1.52341e6 | + | 467116.i | 0.517058 | + | 0.158543i | ||||
\(388\) | 1.29553e6 | − | 941258.i | 0.436886 | − | 0.317416i | ||||
\(389\) | −319117. | + | 439227.i | −0.106924 | + | 0.147169i | −0.859126 | − | 0.511765i | \(-0.828992\pi\) |
0.752201 | + | 0.658933i | \(0.228992\pi\) | |||||||
\(390\) | 258923. | + | 774892.i | 0.0862004 | + | 0.257976i | ||||
\(391\) | 4.56231e6 | − | 1.48239e6i | 1.50919 | − | 0.490365i | ||||
\(392\) | 252933. | + | 183766.i | 0.0831362 | + | 0.0604020i | ||||
\(393\) | −893321. | + | 660458.i | −0.291760 | + | 0.215707i | ||||
\(394\) | 2.22550e6 | − | 6.84938e6i | 0.722248 | − | 2.22285i | ||||
\(395\) | −1.46496e6 | −0.472425 | ||||||||
\(396\) | −6.54056e6 | − | 701274.i | −2.09593 | − | 0.224724i | ||||
\(397\) | 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 | ||||
\(399\) | −4.28494e6 | + | 3.16798e6i | −1.34745 | + | 0.996208i | ||||
\(400\) | −3.12867e6 | − | 2.27311e6i | −0.977709 | − | 0.710347i | ||||
\(401\) | 2.81417e6 | − | 914381.i | 0.873957 | − | 0.283966i | 0.162511 | − | 0.986707i | \(-0.448041\pi\) |
0.711446 | + | 0.702741i | \(0.248041\pi\) | |||||||
\(402\) | 1.40693e6 | + | 4.21059e6i | 0.434217 | + | 1.29950i | ||||
\(403\) | −491877. | + | 677011.i | −0.150867 | + | 0.207651i | ||||
\(404\) | −2.42606e6 | + | 1.76264e6i | −0.739517 | + | 0.537290i | ||||
\(405\) | −977922. | − | 282146.i | −0.296256 | − | 0.0854746i | ||||
\(406\) | 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 | 0.282090 | − | 0.959388i | \(-0.408972\pi\) |
−0.335699 | + | 0.941969i | \(0.608972\pi\) | |||||||
\(410\) | −1.70091e6 | − | 2.34110e6i | −0.499714 | − | 0.687798i | ||||
\(411\) | 2.24400e6 | − | 3.14325e6i | 0.655267 | − | 0.917856i | ||||
\(412\) | −1.12633e6 | − | 3.46649e6i | −0.326906 | − | 1.00611i | ||||
\(413\) | −1.04057e6 | − | 3.20254e6i | −0.300190 | − | 0.923890i | ||||
\(414\) | −4.96027e6 | + | 7.07169e6i | −1.42234 | + | 2.02779i | ||||
\(415\) | 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 | \(0.738208\pi\) | |||||||
\(420\) | −688621. | + | 2.18092e6i | −0.190483 | + | 0.603276i | ||||
\(421\) | 170205. | − | 123661.i | 0.0468024 | − | 0.0340039i | −0.564138 | − | 0.825680i | \(-0.690791\pi\) |
0.610940 | + | 0.791677i | \(0.290791\pi\) | |||||||
\(422\) | −1.82203e6 | + | 2.50781e6i | −0.498053 | + | 0.685511i | ||||
\(423\) | −2.65185e6 | + | 910680.i | −0.720606 | + | 0.247466i | ||||
\(424\) | 4.41577e6 | − | 1.43477e6i | 1.19287 | − | 0.387586i | ||||
\(425\) | 3.07900e6 | + | 2.23703e6i | 0.826871 | + | 0.600757i | ||||
\(426\) | −6.40346e6 | − | 8.66119e6i | −1.70959 | − | 2.31235i | ||||
\(427\) | 1.11382e6 | − | 3.42799e6i | 0.295628 | − | 0.909851i | ||||
\(428\) | 4.20881e6 | 1.11058 | ||||||||
\(429\) | 1.73432e6 | + | 793904.i | 0.454975 | + | 0.208269i | ||||
\(430\) | −1.12717e6 | −0.293980 | ||||||||
\(431\) | −1.66690e6 | + | 5.13019e6i | −0.432231 | + | 1.33027i | 0.463666 | + | 0.886010i | \(0.346534\pi\) |
−0.895897 | + | 0.444261i | \(0.853466\pi\) | |||||||
\(432\) | −4.11361e6 | + | 3.14847e6i | −1.06051 | + | 0.811691i | ||||
\(433\) | −588032. | − | 427230.i | −0.150723 | − | 0.109507i | 0.509868 | − | 0.860253i | \(-0.329694\pi\) |
−0.660591 | + | 0.750746i | \(0.729694\pi\) | |||||||
\(434\) | −3.28480e6 | + | 1.06730e6i | −0.837114 | + | 0.271995i | ||||
\(435\) | 966885. | − | 323076.i | 0.244992 | − | 0.0818618i | ||||
\(436\) | −3.61629e6 | + | 4.97739e6i | −0.911059 | + | 1.25397i | ||||
\(437\) | 7.81213e6 | − | 5.67585e6i | 1.95689 | − | 1.42176i | ||||
\(438\) | −4.63887e6 | − | 1.46471e6i | −1.15538 | − | 0.364811i | ||||
\(439\) | − | 3.86167e6i | − | 0.956344i | −0.878266 | − | 0.478172i | \(-0.841300\pi\) | ||
0.878266 | − | 0.478172i | \(-0.158700\pi\) | |||||||
\(440\) | 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 | \(-0.199747\pi\) |
−0.808550 | + | 0.588427i | \(0.799747\pi\) | |||||||
\(444\) | −168991. | − | 120645.i | −0.0406825 | − | 0.0290436i | ||||
\(445\) | −262152. | − | 806820.i | −0.0627556 | − | 0.193142i | ||||
\(446\) | −3.26309e6 | − | 1.00428e7i | −0.776769 | − | 2.39065i | ||||
\(447\) | −2.44886e6 | − | 1.74827e6i | −0.579689 | − | 0.413846i | ||||
\(448\) | −1.52703e6 | − | 2.10177e6i | −0.359461 | − | 0.494756i | ||||
\(449\) | 2.40360e6 | + | 780977.i | 0.562660 | + | 0.182819i | 0.576518 | − | 0.817085i | \(-0.304411\pi\) |
−0.0138576 | + | 0.999904i | \(0.504411\pi\) | |||||||
\(450\) | −6.85206e6 | + | 113998.i | −1.59511 | + | 0.0265378i | ||||
\(451\) | −6.70442e6 | − | 831868.i | −1.55210 | − | 0.192581i | ||||
\(452\) | − | 6.94310e6i | − | 1.59848i | ||||||
\(453\) | −6.25649e6 | − | 1.97548e6i | −1.43247 | − | 0.452300i | ||||
\(454\) | −2.41570e6 | + | 1.75511e6i | −0.550050 | + | 0.399635i | ||||
\(455\) | 389797. | − | 536509.i | 0.0882694 | − | 0.121492i | ||||
\(456\) | 1.41619e7 | − | 4.73206e6i | 3.18940 | − | 1.06571i | ||||
\(457\) | −1.74901e6 | + | 568288.i | −0.391744 | + | 0.127285i | −0.498264 | − | 0.867025i | \(-0.666029\pi\) |
0.106520 | + | 0.994311i | \(0.466029\pi\) | |||||||
\(458\) | 3.95342e6 | + | 2.87233e6i | 0.880662 | + | 0.639839i | ||||
\(459\) | 4.04831e6 | − | 3.09849e6i | 0.896895 | − | 0.686465i | ||||
\(460\) | 1.28066e6 | − | 3.94148e6i | 0.282189 | − | 0.868490i | ||||
\(461\) | −4.02082e6 | −0.881176 | −0.440588 | − | 0.897709i | \(-0.645230\pi\) | ||||
−0.440588 | + | 0.897709i | \(0.645230\pi\) | |||||||
\(462\) | 3.86501e6 | + | 6.85828e6i | 0.842452 | + | 1.49489i | ||||
\(463\) | −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 | ||||
\(465\) | 438416. | + | 592993.i | 0.0940274 | + | 0.127179i | ||||
\(466\) | 7.13609e6 | + | 5.18467e6i | 1.52228 | + | 1.10600i | ||||
\(467\) | −166459. | + | 54085.8i | −0.0353196 | + | 0.0114760i | −0.326623 | − | 0.945155i | \(-0.605911\pi\) |
0.291304 | + | 0.956631i | \(0.405911\pi\) | |||||||
\(468\) | 4.72676e6 | − | 1.62323e6i | 0.997583 | − | 0.342583i | ||||
\(469\) | 2.11807e6 | − | 2.91527e6i | 0.444640 | − | 0.611994i | ||||
\(470\) | 1.60463e6 | − | 1.16583e6i | 0.335065 | − | 0.243439i | ||||
\(471\) | 10898.4 | − | 34516.2i | 0.00226366 | − | 0.00716920i | ||||
\(472\) | 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 | ||||
\(477\) | 1.83242e6 | − | 2.61242e6i | 0.368748 | − | 0.525711i | ||||
\(478\) | −2.32228e6 | − | 7.14724e6i | −0.464884 | − | 1.43077i | ||||
\(479\) | −2.90160e6 | − | 8.93020e6i | −0.577828 | − | 1.77837i | −0.626342 | − | 0.779549i | \(-0.715448\pi\) |
0.0485138 | − | 0.998823i | \(-0.484552\pi\) | |||||||
\(480\) | 362768. | − | 508142.i | 0.0718664 | − | 0.100666i | ||||
\(481\) | 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 | ||||||||
\(486\) | −2.47124e6 | + | 8.84078e6i | −0.474596 | + | 1.69785i | ||||
\(487\) | −4.70612e6 | + | 3.41920e6i | −0.899168 | + | 0.653284i | −0.938252 | − | 0.345952i | \(-0.887556\pi\) |
0.0390839 | + | 0.999236i | \(0.487556\pi\) | |||||||
\(488\) | −5.93639e6 | + | 8.17074e6i | −1.12842 | + | 1.55314i | ||||
\(489\) | 268298. | + | 802949.i | 0.0507394 | + | 0.151850i | ||||
\(490\) | −144557. | + | 46969.6i | −0.0271988 | + | 0.00883743i | ||||
\(491\) | 6.61631e6 | + | 4.80703e6i | 1.23855 | + | 0.899857i | 0.997501 | − | 0.0706573i | \(-0.0225097\pi\) |
0.241046 | + | 0.970514i | \(0.422510\pi\) | |||||||
\(492\) | −1.42337e7 | + | 1.05234e7i | −2.65098 | + | 1.95994i | ||||
\(493\) | −1.57788e6 | + | 4.85620e6i | −0.292385 | + | 0.899870i | ||||
\(494\) | −8.23740e6 | −1.51870 | ||||||||
\(495\) | 1.12735e6 | − | 1.24680e6i | 0.206798 | − | 0.228709i | ||||
\(496\) | 3.75336e6 | 0.685040 | ||||||||
\(497\) | −2.70175e6 | + | 8.31512e6i | −0.490629 | + | 1.51000i | ||||
\(498\) | 9.28928e6 | − | 6.86783e6i | 1.67845 | − | 1.24093i | ||||
\(499\) | −7.35641e6 | − | 5.34475e6i | −1.32256 | − | 0.960894i | −0.999897 | − | 0.0143798i | \(-0.995423\pi\) |
−0.322661 | − | 0.946515i | \(-0.604577\pi\) | |||||||
\(500\) | 6.58261e6 | − | 2.13882e6i | 1.17753 | − | 0.382603i | ||||
\(501\) | −444135. | − | 1.32919e6i | −0.0790535 | − | 0.236587i | ||||
\(502\) | −8.84872e6 | + | 1.21792e7i | −1.56719 | + | 2.15705i | ||||
\(503\) | −3.47085e6 | + | 2.52172e6i | −0.611668 | + | 0.444403i | −0.850001 | − | 0.526781i | \(-0.823399\pi\) |
0.238333 | + | 0.971183i | \(0.423399\pi\) | |||||||
\(504\) | 1.03653e7 | + | 3.17827e6i | 1.81763 | + | 0.557332i | ||||
\(505\) | − | 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 | \(-0.300456\pi\) |
−0.951498 | + | 0.307655i | \(0.900456\pi\) | |||||||
\(510\) | −2.09537e6 | + | 2.93506e6i | −0.356726 | + | 0.499680i | ||||
\(511\) | 1.22018e6 | + | 3.75534e6i | 0.206715 | + | 0.636205i | ||||
\(512\) | 3.79940e6 | + | 1.16933e7i | 0.640530 | + | 1.97135i | ||||
\(513\) | 5.82283e6 | − | 8.45004e6i | 0.976878 | − | 1.41764i | ||||
\(514\) | 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 | ||||||||
\(519\) | 2.16983e6 | − | 6.87202e6i | 0.353596 | − | 1.11987i | ||||
\(520\) | −1.50331e6 | + | 1.09222e6i | −0.243803 | + | 0.177133i | ||||
\(521\) | 5.54908e6 | − | 7.63765e6i | 0.895626 | − | 1.23272i | −0.0762168 | − | 0.997091i | \(-0.524284\pi\) |
0.971842 | − | 0.235632i | \(-0.0757159\pi\) | |||||||
\(522\) | −2.98627e6 | − | 8.69584e6i | −0.479681 | − | 1.39680i | ||||
\(523\) | −470165. | + | 152766.i | −0.0751616 | + | 0.0244215i | −0.346356 | − | 0.938103i | \(-0.612581\pi\) |
0.271195 | + | 0.962524i | \(0.412581\pi\) | |||||||
\(524\) | −3.88921e6 | − | 2.82567e6i | −0.618775 | − | 0.449567i | ||||
\(525\) | 3.30692e6 | + | 4.47287e6i | 0.523631 | + | 0.708252i | ||||
\(526\) | 911733. | − | 2.80603e6i | 0.143682 | − | 0.442209i | ||||
\(527\) | −3.69378e6 | −0.579354 | ||||||||
\(528\) | −1.69150e6 | − | 8.38618e6i | −0.264050 | − | 1.30912i | ||||
\(529\) | −6.26880e6 | −0.973969 | ||||||||
\(530\) | −697540. | + | 2.14681e6i | −0.107865 | + | 0.331973i | ||||
\(531\) | 3.89832e6 | + | 5.18205e6i | 0.599986 | + | 0.797564i | ||||
\(532\) | −1.86551e7 | − | 1.35537e7i | −2.85772 | − | 2.07625i | ||||
\(533\) | 4.88157e6 | − | 1.58612e6i | 0.744289 | − | 0.241834i | ||||
\(534\) | −7.25683e6 | + | 2.42480e6i | −1.10127 | + | 0.367979i | ||||
\(535\) | −632154. | + | 870085.i | −0.0954857 | + | 0.131425i | ||||
\(536\) | −8.16863e6 | + | 5.93486e6i | −1.22811 | + | 0.892274i | ||||
\(537\) | −1.05299e7 | − | 3.32480e6i | −1.57576 | − | 0.497543i | ||||
\(538\) | 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 | −0.549261 | − | 0.835651i | \(-0.685091\pi\) |
−0.935545 | + | 0.353209i | \(0.885091\pi\) | |||||||
\(542\) | 8.99008e6 | + | 1.23738e7i | 1.31451 | + | 1.80927i | ||||
\(543\) | −891471. | − | 636431.i | −0.129750 | − | 0.0926300i | ||||
\(544\) | 966363. | + | 2.97416e6i | 0.140005 | + | 0.430890i | ||||
\(545\) | −485816. | − | 1.49519e6i | −0.0700617 | − | 0.215628i | ||||
\(546\) | −4.86788e6 | − | 3.47523e6i | −0.698808 | − | 0.498886i | ||||
\(547\) | 2.86887e6 | + | 3.94866e6i | 0.409961 | + | 0.564263i | 0.963209 | − | 0.268754i | \(-0.0866118\pi\) |
−0.553248 | + | 0.833017i | \(0.686612\pi\) | |||||||
\(548\) | 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 | ||||||||
\(552\) | −1.87342e7 | − | 5.91530e6i | −2.61691 | − | 0.826284i | ||||
\(553\) | 8.67637e6 | − | 6.30375e6i | 1.20649 | − | 0.876569i | ||||
\(554\) | 2.70537e6 | − | 3.72362e6i | 0.374500 | − | 0.515455i | ||||
\(555\) | 50323.0 | − | 16815.0i | 0.00693480 | − | 0.00231720i | ||||
\(556\) | −3.07544e6 | + | 999271.i | −0.421910 | + | 0.137087i | ||||
\(557\) | −17976.1 | − | 13060.4i | −0.00245503 | − | 0.00178369i | 0.586557 | − | 0.809908i | \(-0.300483\pi\) |
−0.589012 | + | 0.808124i | \(0.700483\pi\) | |||||||
\(558\) | 5.31515e6 | − | 3.99844e6i | 0.722654 | − | 0.543633i | ||||
\(559\) | 617820. | − | 1.90145e6i | 0.0836243 | − | 0.257369i | ||||
\(560\) | −2.97442e6 | −0.400804 | ||||||||
\(561\) | 1.66465e6 | + | 8.25305e6i | 0.223313 | + | 1.10715i | ||||
\(562\) | −104040. | −0.0138950 | ||||||||
\(563\) | −3.41570e6 | + | 1.05124e7i | −0.454159 | + | 1.39776i | 0.417960 | + | 0.908465i | \(0.362745\pi\) |
−0.872119 | + | 0.489293i | \(0.837255\pi\) | |||||||
\(564\) | −7.21290e6 | − | 9.75602e6i | −0.954799 | − | 1.29144i | ||||
\(565\) | 1.43535e6 | + | 1.04284e6i | 0.189163 | + | 0.137435i | ||||
\(566\) | 7.58859e6 | − | 2.46568e6i | 0.995680 | − | 0.323516i | ||||
\(567\) | 7.00592e6 | − | 2.53698e6i | 0.915183 | − | 0.331405i | ||||
\(568\) | 1.43996e7 | − | 1.98194e7i | 1.87275 | − | 2.57762i | ||||
\(569\) | 293279. | − | 213080.i | 0.0379752 | − | 0.0275906i | −0.568636 | − | 0.822589i | \(-0.692529\pi\) |
0.606611 | + | 0.794999i | \(0.292529\pi\) | |||||||
\(570\) | −2.18573e6 | + | 6.92237e6i | −0.281779 | + | 0.892416i | ||||
\(571\) | − | 3.49015e6i | − | 0.447975i | −0.974592 | − | 0.223987i | \(-0.928093\pi\) | ||
0.974592 | − | 0.223987i | \(-0.0719074\pi\) | |||||||
\(572\) | −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 | ||||
\(576\) | 4.09582e6 | + | 2.87292e6i | 0.514381 | + | 0.360801i | ||||
\(577\) | 4.06324e6 | + | 1.25054e7i | 0.508081 | + | 1.56371i | 0.795528 | + | 0.605916i | \(0.207193\pi\) |
−0.287447 | + | 0.957796i | \(0.592807\pi\) | |||||||
\(578\) | −1.20616e6 | − | 3.71218e6i | −0.150171 | − | 0.462178i | ||||
\(579\) | −266445. | + | 373219.i | −0.0330302 | + | 0.0462666i | ||||
\(580\) | 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 | ||||||
\(585\) | −374380. | + | 1.22097e6i | −0.0452296 | + | 0.147508i | ||||
\(586\) | −9.08144e6 | + | 6.59805e6i | −1.09247 | + | 0.793728i | ||||
\(587\) | 1.68134e6 | − | 2.31417e6i | 0.201401 | − | 0.277204i | −0.696355 | − | 0.717697i | \(-0.745196\pi\) |
0.897756 | + | 0.440493i | \(0.145196\pi\) | |||||||
\(588\) | 294663. | + | 881854.i | 0.0351465 | + | 0.105185i | ||||
\(589\) | −7.07148e6 | + | 2.29766e6i | −0.839890 | + | 0.272897i | ||||
\(590\) | −3.71110e6 | − | 2.69627e6i | −0.438908 | − | 0.318885i | ||||
\(591\) | 9.05204e6 | − | 6.69243e6i | 1.06605 | − | 0.788161i | ||||
\(592\) | 83447.7 | − | 256825.i | 0.00978611 | − | 0.0301185i | ||||
\(593\) | 5.67693e6 | 0.662944 | 0.331472 | − | 0.943465i | \(-0.392455\pi\) | ||||
0.331472 | + | 0.943465i | \(0.392455\pi\) | |||||||
\(594\) | −1.13291e7 | − | 1.00738e7i | −1.31744 | − | 1.17145i | ||||
\(595\) | 2.92720e6 | 0.338969 | ||||||||
\(596\) | 4.02339e6 | − | 1.23827e7i | 0.463956 | − | 1.42791i | ||||
\(597\) | 4.99740e6 | − | 3.69472e6i | 0.573863 | − | 0.424273i | ||||
\(598\) | 8.76830e6 | + | 6.37054e6i | 1.00268 | + | 0.728490i | ||||
\(599\) | 2.59919e6 | − | 844527.i | 0.295985 | − | 0.0961715i | −0.157260 | − | 0.987557i | \(-0.550266\pi\) |
0.453245 | + | 0.891386i | \(0.350266\pi\) | |||||||
\(600\) | −4.93959e6 | − | 1.47830e7i | −0.560161 | − | 1.67642i | ||||
\(601\) | 2.23979e6 | − | 3.08280e6i | 0.252942 | − | 0.348144i | −0.663597 | − | 0.748090i | \(-0.730971\pi\) |
0.916539 | + | 0.399946i | \(0.130971\pi\) | |||||||
\(602\) | 6.67577e6 | − | 4.85023e6i | 0.750776 | − | 0.545471i | ||||
\(603\) | −2.03429e6 | + | 6.63447e6i | −0.227835 | + | 0.743041i | ||||
\(604\) | − | 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 | 0.662648 | − | 0.748931i | \(-0.269432\pi\) |
0.0958835 | + | 0.995393i | \(0.469432\pi\) | |||||||
\(608\) | 3.70007e6 | + | 5.09271e6i | 0.405930 | + | 0.558714i | ||||
\(609\) | −4.33628e6 | + | 6.07398e6i | −0.473777 | + | 0.663636i | ||||
\(610\) | −1.51730e6 | − | 4.66978e6i | −0.165100 | − | 0.508126i | ||||
\(611\) | 1.08715e6 | + | 3.34590e6i | 0.117811 | + | 0.362585i | ||||
\(612\) | 1.80601e7 | + | 1.26678e7i | 1.94913 | + | 1.36717i | ||||
\(613\) | 974039. | + | 1.34065e6i | 0.104695 | + | 0.144100i | 0.858150 | − | 0.513400i | \(-0.171614\pi\) |
−0.753455 | + | 0.657500i | \(0.771614\pi\) | |||||||
\(614\) | −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 | \(0.838331\pi\) | |||||||
\(618\) | 2.52926e6 | − | 8.01037e6i | 0.266393 | − | 0.843687i | ||||
\(619\) | −1.08437e7 | + | 7.87838e6i | −1.13749 | + | 0.826438i | −0.986768 | − | 0.162137i | \(-0.948161\pi\) |
−0.150727 | + | 0.988575i | \(0.548161\pi\) | |||||||
\(620\) | −1.87570e6 | + | 2.58168e6i | −0.195968 | + | 0.269726i | ||||
\(621\) | −1.27331e7 | + | 4.49145e6i | −1.32497 | + | 0.467367i | ||||
\(622\) | 2.28150e7 | − | 7.41303e6i | 2.36453 | − | 0.768281i | ||||
\(623\) | 5.02438e6 | + | 3.65043e6i | 0.518636 | + | 0.376811i | ||||
\(624\) | 3.86407e6 | + | 5.22647e6i | 0.397268 | + | 0.537337i | ||||
\(625\) | 2.18430e6 | − | 6.72259e6i | 0.223672 | − | 0.688393i | ||||
\(626\) | 1.38011e7 | 1.40760 | ||||||||
\(627\) | 8.32055e6 | + | 1.47644e7i | 0.845246 | + | 1.49985i | ||||
\(628\) | 156626. | 0.0158477 | ||||||||
\(629\) | −82123.0 | + | 252748.i | −0.00827633 | + | 0.0254719i | ||||
\(630\) | −4.21209e6 | + | 3.16864e6i | −0.422811 | + | 0.318069i | ||||
\(631\) | −7.64910e6 | − | 5.55740e6i | −0.764781 | − | 0.555646i | 0.135592 | − | 0.990765i | \(-0.456706\pi\) |
−0.900373 | + | 0.435119i | \(0.856706\pi\) | |||||||
\(632\) | −2.85796e7 | + | 9.28609e6i | −2.84619 | + | 0.924784i | ||||
\(633\) | −4.59563e6 | + | 1.53559e6i | −0.455865 | + | 0.152323i | ||||
\(634\) | −1.69457e7 | + | 2.33237e7i | −1.67431 | + | 2.30449i | ||||
\(635\) | −352270. | + | 255939.i | −0.0346690 | + | 0.0251885i | ||||
\(636\) | 1.31673e7 | + | 4.15755e6i | 1.29078 | + | 0.407563i | ||||
\(637\) | − | 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 | \(-0.255592\pi\) |
−0.898844 | + | 0.438269i | \(0.855592\pi\) | |||||||
\(642\) | 7.89449e6 | + | 5.63595e6i | 0.755938 | + | 0.539672i | ||||
\(643\) | −1.80649e6 | − | 5.55980e6i | −0.172309 | − | 0.530313i | 0.827191 | − | 0.561920i | \(-0.189937\pi\) |
−0.999500 | + | 0.0316078i | \(0.989937\pi\) | |||||||
\(644\) | 9.37541e6 | + | 2.88546e7i | 0.890791 | + | 2.74157i | ||||
\(645\) | −1.43397e6 | − | 1.02373e6i | −0.135719 | − | 0.0968911i | ||||
\(646\) | −2.13718e7 | − | 2.94158e7i | −2.01493 | − | 2.77331i | ||||
\(647\) | −1.62291e7 | − | 5.27315e6i | −1.52417 | − | 0.495232i | −0.577212 | − | 0.816594i | \(-0.695859\pi\) |
−0.946957 | + | 0.321362i | \(0.895859\pi\) | |||||||
\(648\) | −2.08666e7 | + | 694508.i | −1.95215 | + | 0.0649740i | ||||
\(649\) | −1.05151e7 | + | 2.03004e6i | −0.979949 | + | 0.189188i | ||||
\(650\) | 8.59867e6i | 0.798267i | ||||||||
\(651\) | −5.14823e6 | − | 1.62554e6i | −0.476108 | − | 0.150330i | ||||
\(652\) | −2.96371e6 | + | 2.15326e6i | −0.273034 | + | 0.198371i | ||||
\(653\) | −4.36095e6 | + | 6.00233e6i | −0.400219 | + | 0.550854i | −0.960799 | − | 0.277246i | \(-0.910578\pi\) |
0.560580 | + | 0.828100i | \(0.310578\pi\) | |||||||
\(654\) | −1.34483e7 | + | 4.49361e6i | −1.22948 | + | 0.410819i | ||||
\(655\) | 1.16830e6 | − | 379604.i | 0.106402 | − | 0.0345723i | ||||
\(656\) | −1.86249e7 | − | 1.35318e7i | −1.68979 | − | 1.22771i | ||||
\(657\) | −4.57121e6 | − | 6.07653e6i | −0.413160 | − | 0.549215i | ||||
\(658\) | −4.48697e6 | + | 1.38095e7i | −0.404007 | + | 1.24341i | ||||
\(659\) | 3.07316e6 | 0.275659 | 0.137829 | − | 0.990456i | \(-0.455987\pi\) | ||||
0.137829 | + | 0.990456i | \(0.455987\pi\) | |||||||
\(660\) | 6.61359e6 | + | 3.02744e6i | 0.590986 | + | 0.270530i | ||||
\(661\) | 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 | ||||
\(663\) | −3.80273e6 | − | 5.14350e6i | −0.335979 | − | 0.454438i | ||||
\(664\) | 2.12566e7 | + | 1.54438e7i | 1.87100 | + | 1.35936i | ||||
\(665\) | 5.60392e6 | − | 1.82082e6i | 0.491403 | − | 0.159667i | ||||
\(666\) | −155425. | − | 452588.i | −0.0135780 | − | 0.0395383i | ||||
\(667\) | 7.94896e6 | − | 1.09408e7i | 0.691824 | − | 0.952214i | ||||
\(668\) | 4.90607e6 | − | 3.56447e6i | 0.425395 | − | 0.309068i | ||||
\(669\) | 4.96984e6 | − | 1.57399e7i | 0.429316 | − | 1.35968i | ||||
\(670\) | − | 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 | −0.536382 | − | 0.843976i | \(-0.680209\pi\) |
−0.930018 | + | 0.367513i | \(0.880209\pi\) | |||||||
\(674\) | 2.11614e7 | + | 2.91262e7i | 1.79430 | + | 2.46964i | ||||
\(675\) | −8.82064e6 | − | 6.07820e6i | −0.745145 | − | 0.513471i | ||||
\(676\) | 5.80164e6 | + | 1.78556e7i | 0.488297 | + | 1.50282i | ||||
\(677\) | −913131. | − | 2.81033e6i | −0.0765704 | − | 0.235660i | 0.905444 | − | 0.424466i | \(-0.139538\pi\) |
−0.982014 | + | 0.188806i | \(0.939538\pi\) | |||||||
\(678\) | 9.29742e6 | − | 1.30232e7i | 0.776762 | − | 1.08804i | ||||
\(679\) | −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 | \(-0.0843624\pi\) | |||||||
\(684\) | 4.24546e7 | + | 1.30177e7i | 3.46964 | + | 1.06388i | ||||
\(685\) | −3.45484e6 | + | 2.51009e6i | −0.281321 | + | 0.204392i | ||||
\(686\) | 1.30857e7 | − | 1.80110e7i | 1.06166 | − | 1.46126i | ||||
\(687\) | 2.42076e6 | + | 7.24474e6i | 0.195686 | + | 0.585641i | ||||
\(688\) | −8.52841e6 | + | 2.77105e6i | −0.686905 | + | 0.223189i | ||||
\(689\) | −3.23918e6 | − | 2.35340e6i | −0.259948 | − | 0.188863i | ||||
\(690\) | 7.68013e6 | − | 5.67814e6i | 0.614110 | − | 0.454029i | ||||
\(691\) | 789562. | − | 2.43002e6i | 0.0629059 | − | 0.193604i | −0.914664 | − | 0.404214i | \(-0.867545\pi\) |
0.977570 | + | 0.210610i | \(0.0675450\pi\) | |||||||
\(692\) | 3.11836e7 | 2.47549 | ||||||||
\(693\) | −1.31186e6 | + | 1.22353e7i | −0.103766 | + | 0.967792i | ||||
\(694\) | −3.90135e6 | −0.307480 | ||||||||
\(695\) | 255346. | − | 785873.i | 0.0200524 | − | 0.0617149i | ||||
\(696\) | 1.68149e7 | − | 1.24317e7i | 1.31574 | − | 0.972766i | ||||
\(697\) | 1.83292e7 | + | 1.33169e7i | 1.42910 | + | 1.03830i | ||||
\(698\) | −6.98391e6 | + | 2.26921e6i | −0.542575 | + | 0.176293i | ||||
\(699\) | 4.36958e6 | + | 1.30771e7i | 0.338257 | + | 1.01232i | ||||
\(700\) | −1.41482e7 | + | 1.94733e7i | −1.09133 | + | 1.50208i | ||||
\(701\) | −1.37433e7 | + | 9.98508e6i | −1.05632 | + | 0.767462i | −0.973404 | − | 0.229095i | \(-0.926423\pi\) |
−0.0829161 | + | 0.996557i | \(0.526423\pi\) | |||||||
\(702\) | 1.10397e7 | + | 3.28484e6i | 0.845500 | + | 0.251577i | ||||
\(703\) | 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 | ||||
\(708\) | −1.63040e7 | + | 2.28376e7i | −1.22240 | + | 1.71225i | ||||
\(709\) | −843988. | − | 2.59753e6i | −0.0630552 | − | 0.194064i | 0.914566 | − | 0.404436i | \(-0.132532\pi\) |
−0.977621 | + | 0.210373i | \(0.932532\pi\) | |||||||
\(710\) | 3.68045e6 | + | 1.13273e7i | 0.274003 | + | 0.843294i | ||||
\(711\) | −1.18597e7 | + | 1.69080e7i | −0.879835 | + | 1.25435i | ||||
\(712\) | −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 | ||||||
\(717\) | 3.53694e6 | − | 1.12018e7i | 0.256939 | − | 0.813746i | ||||
\(718\) | 2.71674e7 | − | 1.97383e7i | 1.96670 | − | 1.42889i | ||||
\(719\) | 9.12920e6 | − | 1.25653e7i | 0.658583 | − | 0.906462i | −0.340851 | − | 0.940117i | \(-0.610715\pi\) |
0.999433 | + | 0.0336559i | \(0.0107150\pi\) | |||||||
\(720\) | 5.41740e6 | − | 1.86041e6i | 0.389457 | − | 0.133745i | ||||
\(721\) | −6.48470e6 | + | 2.10701e6i | −0.464570 | + | 0.150948i | ||||
\(722\) | −3.92352e7 | − | 2.85061e7i | −2.80113 | − | 2.03514i | ||||
\(723\) | 4.70606e6 | + | 6.36532e6i | 0.334820 | + | 0.452871i | ||||
\(724\) | 1.46466e6 | − | 4.50776e6i | 0.103846 | − | 0.319605i | ||||
\(725\) | 1.07291e7 | 0.758089 | ||||||||
\(726\) | 2.31592e7 | − | 9.51273e6i | 1.63073 | − | 0.669828i | ||||
\(727\) | −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 | ||||
\(729\) | −1.11733e7 | + | 9.00267e6i | −0.778688 | + | 0.627412i | ||||
\(730\) | 4.35168e6 | + | 3.16168e6i | 0.302239 | + | 0.219589i | ||||
\(731\) | 8.39302e6 | − | 2.72706e6i | 0.580932 | − | 0.188756i | ||||
\(732\) | −2.84874e7 | + | 9.51879e6i | −1.96505 | + | 0.656605i | ||||
\(733\) | 3.15560e6 | − | 4.34331e6i | 0.216931 | − | 0.298580i | −0.686658 | − | 0.726981i | \(-0.740923\pi\) |
0.903589 | + | 0.428401i | \(0.140923\pi\) | |||||||
\(734\) | −1.27391e7 | + | 9.25550e6i | −0.872768 | + | 0.634103i | ||||
\(735\) | −226563. | − | 71536.9i | −0.0154693 | − | 0.00488441i | ||||
\(736\) | − | 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 | 0.907791 | − | 0.419422i | \(-0.137767\pi\) |
0.487888 | + | 0.872906i | \(0.337767\pi\) | |||||||
\(740\) | 134951. | + | 185744.i | 0.00905933 | + | 0.0124691i | ||||
\(741\) | −1.04795e7 | − | 7.48143e6i | −0.701125 | − | 0.500540i | ||||
\(742\) | −5.10651e6 | − | 1.57162e7i | −0.340498 | − | 1.04794i | ||||
\(743\) | 1.30647e6 | + | 4.02089e6i | 0.0868213 | + | 0.267208i | 0.985036 | − | 0.172348i | \(-0.0551355\pi\) |
−0.898215 | + | 0.439557i | \(0.855135\pi\) | |||||||
\(744\) | 1.23119e7 | + | 8.78956e6i | 0.815439 | + | 0.582150i | ||||
\(745\) | 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 | ||||||
\(750\) | 1.52111e7 | + | 4.80288e6i | 0.987433 | + | 0.311780i | ||||
\(751\) | 1.82426e7 | − | 1.32540e7i | 1.18028 | − | 0.857526i | 0.188079 | − | 0.982154i | \(-0.439774\pi\) |
0.992204 | + | 0.124628i | \(0.0397737\pi\) | |||||||
\(752\) | 9.27486e6 | − | 1.27658e7i | 0.598085 | − | 0.823193i | ||||
\(753\) | −2.23187e7 | + | 7.45760e6i | −1.43444 | + | 0.479304i | ||||
\(754\) | −1.09718e7 | + | 3.56494e6i | −0.702826 | + | 0.228362i | ||||
\(755\) | 5.86916e6 | + | 4.26420e6i | 0.374722 | + | 0.272251i | ||||
\(756\) | 1.95965e7 | + | 2.56037e7i | 1.24702 | + | 1.62929i | ||||
\(757\) | −6.22088e6 | + | 1.91459e7i | −0.394559 | + | 1.21433i | 0.534746 | + | 0.845013i | \(0.320407\pi\) |
−0.929305 | + | 0.369314i | \(0.879593\pi\) | |||||||
\(758\) | −4.20156e7 | −2.65606 | ||||||||
\(759\) | 2.56153e6 | − | 2.21508e7i | 0.161397 | − | 1.39568i | ||||
\(760\) | −1.65103e7 | −1.03686 | ||||||||
\(761\) | 1.90484e6 | − | 5.86249e6i | 0.119233 | − | 0.366962i | −0.873573 | − | 0.486693i | \(-0.838203\pi\) |
0.992806 | + | 0.119731i | \(0.0382032\pi\) | |||||||
\(762\) | 2.33467e6 | + | 3.15783e6i | 0.145659 | + | 0.197016i | ||||
\(763\) | 9.31112e6 | + | 6.76493e6i | 0.579016 | + | 0.420680i | ||||
\(764\) | 3.76497e6 | − | 1.22331e6i | 0.233361 | − | 0.0758237i | ||||
\(765\) | −5.33140e6 | + | 1.83087e6i | −0.329373 | + | 0.113111i | ||||
\(766\) | 2.99382e7 | − | 4.12063e7i | 1.84354 | − | 2.53742i | ||||
\(767\) | 6.58254e6 | − | 4.78250e6i | 0.404022 | − | 0.293539i | ||||
\(768\) | −9.99879e6 | + | 3.16670e7i | −0.611709 | + | 1.93733i | ||||
\(769\) | − | 2.01013e7i | − | 1.22577i | −0.790173 | − | 0.612884i | \(-0.790009\pi\) | ||
0.790173 | − | 0.612884i | \(-0.209991\pi\) | |||||||
\(770\) | −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 | \(-0.393297\pi\) |
−0.999778 | + | 0.0210557i | \(0.993297\pi\) | |||||||
\(774\) | −9.12513e6 | + | 1.30094e7i | −0.547503 | + | 0.780556i | ||||
\(775\) | 2.39843e6 | + | 7.38162e6i | 0.143441 | + | 0.441466i | ||||
\(776\) | 2.59384e6 | + | 7.98301e6i | 0.154628 | + | 0.475896i | ||||
\(777\) | −225688. | + | 316129.i | −0.0134108 | + | 0.0187851i | ||||
\(778\) | −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 | ||||||||
\(783\) | 4.09871e6 | − | 1.37749e7i | 0.238915 | − | 0.802944i | ||||
\(784\) | −978283. | + | 710764.i | −0.0568427 | + | 0.0412986i | ||||
\(785\) | −23525.0 | + | 32379.3i | −0.00136256 | + | 0.00187540i | ||||
\(786\) | −3.51119e6 | − | 1.05081e7i | −0.202721 | − | 0.606693i | ||||
\(787\) | 2.61284e6 | − | 848964.i | 0.150375 | − | 0.0488599i | −0.232862 | − | 0.972510i | \(-0.574809\pi\) |
0.383237 | + | 0.923650i | \(0.374809\pi\) | |||||||
\(788\) | 3.94094e7 | + | 2.86326e7i | 2.26092 | + | 1.64265i | ||||
\(789\) | 3.70841e6 | − | 2.74173e6i | 0.212078 | − | 0.156795i | ||||
\(790\) | 4.51460e6 | − | 1.38945e7i | 0.257366 | − | 0.792092i | ||||
\(791\) | −1.29883e7 | −0.738096 | ||||||||
\(792\) | 1.40901e7 | − | 3.14697e7i | 0.798182 | − | 1.78270i | ||||
\(793\) | 8.70925e6 | 0.491810 | ||||||||
\(794\) | −1.68120e7 | + | 5.17421e7i | −0.946387 | + | 2.91268i | ||||
\(795\) | −2.83719e6 | + | 2.09762e6i | −0.159210 | + | 0.117709i | ||||
\(796\) | 2.17569e7 | + | 1.58073e7i | 1.21707 | + | 0.884251i | ||||
\(797\) | 1.95280e7 | − | 6.34504e6i | 1.08896 | − | 0.353825i | 0.291116 | − | 0.956688i | \(-0.405973\pi\) |
0.797845 | + | 0.602863i | \(0.205973\pi\) | |||||||
\(798\) | −1.68419e7 | − | 5.04037e7i | −0.936234 | − | 2.80192i | ||||
\(799\) | −9.12763e6 | + | 1.25631e7i | −0.505814 | + | 0.696193i | ||||
\(800\) | 5.31606e6 | − | 3.86234e6i | 0.293674 | − | 0.213366i | ||||
\(801\) | −1.14343e7 | − | 3.50605e6i | −0.629693 | − | 0.193080i | ||||
\(802\) | 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 | ||||
\(807\) | −1.09867e7 | + | 1.53895e7i | −0.593859 | + | 0.831840i | ||||
\(808\) | −4.85732e6 | − | 1.49493e7i | −0.261739 | − | 0.805549i | ||||
\(809\) | −6.72191e6 | − | 2.06879e7i | −0.361095 | − | 1.11134i | −0.952391 | − | 0.304881i | \(-0.901383\pi\) |
0.591296 | − | 0.806455i | \(-0.298617\pi\) | |||||||
\(810\) | 5.68972e6 | − | 8.40567e6i | 0.304704 | − | 0.450153i | ||||
\(811\) | 1.51221e7 | + | 2.08137e7i | 0.807344 | + | 1.11121i | 0.991728 | + | 0.128359i | \(0.0409710\pi\) |
−0.184384 | + | 0.982854i | \(0.559029\pi\) | |||||||
\(812\) | −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 | ||||||
\(816\) | −8.63844e6 | + | 2.73586e7i | −0.454161 | + | 1.43836i | ||||
\(817\) | 1.43715e7 | − | 1.04415e7i | 0.753265 | − | 0.547279i | ||||
\(818\) | 1.11781e6 | − | 1.53854e6i | 0.0584097 | − | 0.0803941i | ||||
\(819\) | −3.03655e6 | − | 8.84228e6i | −0.158187 | − | 0.460632i | ||||
\(820\) | 1.86151e7 | − | 6.04843e6i | 0.966789 | − | 0.314129i | ||||
\(821\) | −2.63095e6 | − | 1.91150e6i | −0.136225 | − | 0.0989729i | 0.517586 | − | 0.855631i | \(-0.326831\pi\) |
−0.653811 | + | 0.756658i | \(0.726831\pi\) | |||||||
\(822\) | 2.28970e7 | + | 3.09700e7i | 1.18195 | + | 1.59868i | ||||
\(823\) | −1.74918e6 | + | 5.38342e6i | −0.0900191 | + | 0.277050i | −0.985924 | − | 0.167196i | \(-0.946529\pi\) |
0.895905 | + | 0.444247i | \(0.146529\pi\) | |||||||
\(824\) | 1.91053e7 | 0.980247 | ||||||||
\(825\) | 1.54120e7 | − | 8.68546e6i | 0.788357 | − | 0.444281i | ||||
\(826\) | 3.35815e7 | 1.71258 | ||||||||
\(827\) | −4.05697e6 | + | 1.24861e7i | −0.206271 | + | 0.634836i | 0.793388 | + | 0.608716i | \(0.208315\pi\) |
−0.999659 | + | 0.0261200i | \(0.991685\pi\) | |||||||
\(828\) | −3.51234e7 | − | 4.66897e7i | −1.78041 | − | 2.36671i | ||||
\(829\) | −1.19754e7 | − | 8.70063e6i | −0.605206 | − | 0.439708i | 0.242517 | − | 0.970147i | \(-0.422027\pi\) |
−0.847723 | + | 0.530439i | \(0.822027\pi\) | |||||||
\(830\) | −1.21487e7 | + | 3.94735e6i | −0.612116 | + | 0.198889i | ||||
\(831\) | 6.82363e6 | − | 2.28005e6i | 0.342778 | − | 0.114536i | ||||
\(832\) | 3.68973e6 | − | 5.07847e6i | 0.184793 | − | 0.254346i | ||||
\(833\) | 962753. | − | 699481.i | 0.0480731 | − | 0.0349272i | ||||
\(834\) | −7.10673e6 | − | 2.24394e6i | −0.353798 | − | 0.111711i | ||||
\(835\) | 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 | 0.999977 | + | 0.00683223i | \(0.00217478\pi\) |
−0.302512 | + | 0.953146i | \(0.597825\pi\) | |||||||
\(840\) | −9.75675e6 | − | 6.96544e6i | −0.477097 | − | 0.340605i | ||||
\(841\) | −1.89008e6 | − | 5.81707e6i | −0.0921489 | − | 0.283605i | ||||
\(842\) | 648350. | + | 1.99542e6i | 0.0315159 | + | 0.0969958i | ||||
\(843\) | −132358. | − | 94491.8i | −0.00641478 | − | 0.00457957i | ||||
\(844\) | −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 | ||||||||
\(849\) | 1.18935e7 | + | 3.75535e6i | 0.566292 | + | 0.178806i | ||||
\(850\) | −3.07059e7 | + | 2.23091e7i | −1.45772 | + | 1.05910i | ||||
\(851\) | 413715. | − | 569430.i | 0.0195829 | − | 0.0269536i | ||||
\(852\) | 6.91005e7 | − | 2.30893e7i | 3.26123 | − | 1.08971i | ||||
\(853\) | −2.83212e6 | + | 920211.i | −0.133272 | + | 0.0433027i | −0.374894 | − | 0.927068i | \(-0.622321\pi\) |
0.241622 | + | 0.970371i | \(0.422321\pi\) | |||||||
\(854\) | 2.90806e7 | + | 2.11283e7i | 1.36445 | + | 0.991332i | ||||
\(855\) | −9.06773e6 | + | 6.82141e6i | −0.424213 | + | 0.319123i | ||||
\(856\) | −6.81729e6 | + | 2.09814e7i | −0.318000 | + | 0.978703i | ||||
\(857\) | −1.93464e7 | −0.899803 | −0.449901 | − | 0.893078i | \(-0.648541\pi\) | ||||
−0.449901 | + | 0.893078i | \(0.648541\pi\) | |||||||
\(858\) | −1.28746e7 | + | 1.40027e7i | −0.597055 | + | 0.649374i | ||||
\(859\) | −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 | ||||
\(861\) | 1.96860e7 | + | 2.66268e7i | 0.905001 | + | 1.22408i | ||||
\(862\) | −4.35207e7 | − | 3.16197e7i | −1.99493 | − | 1.44940i | ||||
\(863\) | 1.96889e7 | − | 6.39731e6i | 0.899901 | − | 0.292395i | 0.177705 | − | 0.984084i | \(-0.443133\pi\) |
0.722196 | + | 0.691688i | \(0.243133\pi\) | |||||||
\(864\) | −2.92797e6 | − | 8.30067e6i | −0.133439 | − | 0.378293i | ||||
\(865\) | −4.68372e6 | + | 6.44658e6i | −0.212839 | + | 0.292947i | ||||
\(866\) | 5.86425e6 | − | 4.26062e6i | 0.265716 | − | 0.193054i | ||||
\(867\) | 1.83704e6 | − | 5.81805e6i | 0.0829986 | − | 0.262863i | ||||
\(868\) | − | 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 | ||||
\(873\) | 4.72284e6 | + | 3.31272e6i | 0.209733 | + | 0.147113i | ||||
\(874\) | 2.97582e7 | + | 9.15862e7i | 1.31773 | + | 4.05556i | ||||
\(875\) | −4.00105e6 | − | 1.23140e7i | −0.176666 | − | 0.543723i | ||||
\(876\) | 1.91183e7 | − | 2.67797e7i | 0.841760 | − | 1.17908i | ||||
\(877\) | −1.69886e7 | − | 2.33828e7i | −0.745863 | − | 1.02659i | −0.998260 | − | 0.0589689i | \(-0.981219\pi\) |
0.252397 | − | 0.967624i | \(-0.418781\pi\) | |||||||
\(878\) | 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 | \(0.961476\pi\) | |||||||
\(882\) | −628176. | + | 2.04868e6i | −0.0271901 | + | 0.0886752i | ||||
\(883\) | −2.16812e7 | + | 1.57523e7i | −0.935799 | + | 0.679898i | −0.947406 | − | 0.320035i | \(-0.896305\pi\) |
0.0116068 | + | 0.999933i | \(0.496305\pi\) | |||||||
\(884\) | 1.62695e7 | − | 2.23930e7i | 0.700233 | − | 0.963788i | ||||
\(885\) | −2.27239e6 | − | 6.80069e6i | −0.0975268 | − | 0.291874i | ||||
\(886\) | −62215.9 | + | 20215.2i | −0.00266267 | + | 0.000865153i | ||||
\(887\) | −3.25350e7 | − | 2.36381e7i | −1.38849 | − | 1.00880i | −0.996029 | − | 0.0890264i | \(-0.971624\pi\) |
−0.392459 | − | 0.919769i | \(-0.628376\pi\) | |||||||
\(888\) | 875157. | − | 647028.i | 0.0372437 | − | 0.0275354i | ||||
\(889\) | 985044. | − | 3.03165e6i | 0.0418024 | − | 0.128655i | ||||
\(890\) | 8.46022e6 | 0.358020 | ||||||||
\(891\) | −5.26348e6 | − | 2.31051e7i | −0.222115 | − | 0.975020i | ||||
\(892\) | 7.14240e7 | 3.00560 | ||||||||
\(893\) | −9.65951e6 | + | 2.97289e7i | −0.405346 | + | 1.24753i | ||||
\(894\) | 2.41283e7 | − | 1.78387e7i | 1.00968 | − | 0.746483i | ||||
\(895\) | 9.87803e6 | + | 7.17681e6i | 0.412204 | + | 0.299484i | ||||
\(896\) | 3.35638e7 | − | 1.09055e7i | 1.39669 | − | 0.453813i | ||||
\(897\) | 5.36901e6 | + | 1.60681e7i | 0.222799 | + | 0.666782i | ||||
\(898\) | −1.48145e7 | + | 2.03904e7i | −0.613049 | + | 0.843789i | ||||
\(899\) | −8.42444e6 | + | 6.12072e6i | −0.347650 | + | 0.252582i | ||||
\(900\) | 1.35886e7 | − | 4.43166e7i | 0.559201 | − | 1.82373i | ||||
\(901\) | − | 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 | ||||
\(906\) | 3.80174e7 | − | 5.32523e7i | 1.53873 | − | 2.15535i | ||||
\(907\) | −1.44889e7 | − | 4.45924e7i | −0.584815 | − | 1.79988i | −0.600012 | − | 0.799991i | \(-0.704837\pi\) |
0.0151964 | − | 0.999885i | \(-0.495163\pi\) | |||||||
\(908\) | −6.24115e6 | − | 1.92083e7i | −0.251217 | − | 0.773168i | ||||
\(909\) | −8.84416e6 | − | 6.20353e6i | −0.355015 | − | 0.249017i | ||||
\(910\) | 3.88732e6 | + | 5.35043e6i | 0.155613 | + | 0.214183i | ||||
\(911\) | 6.85098e6 | + | 2.22602e6i | 0.273500 | + | 0.0888654i | 0.442556 | − | 0.896741i | \(-0.354072\pi\) |
−0.169056 | + | 0.985606i | \(0.554072\pi\) | |||||||
\(912\) | 480357. | + | 5.77496e7i | 0.0191239 | + | 2.29912i | ||||
\(913\) | −1.26378e7 | + | 2.70120e7i | −0.501758 | + | 1.07246i | ||||
\(914\) | − | 1.83399e7i | − | 0.726160i | ||||||
\(915\) | 2.31093e6 | − | 7.31889e6i | 0.0912501 | − | 0.288996i | ||||
\(916\) | −2.67406e7 | + | 1.94282e7i | −1.05301 | + | 0.765055i | ||||
\(917\) | −5.28594e6 | + | 7.27547e6i | −0.207586 | + | 0.285718i | ||||
\(918\) | 1.69121e7 | + | 4.79452e7i | 0.662355 | + | 1.87775i | ||||
\(919\) | 2.26242e7 | − | 7.35106e6i | 0.883660 | − | 0.287118i | 0.168184 | − | 0.985756i | \(-0.446210\pi\) |
0.715476 | + | 0.698637i | \(0.246210\pi\) | |||||||
\(920\) | 1.75744e7 | + | 1.27686e7i | 0.684560 | + | 0.497362i | ||||
\(921\) | −1.77503e7 | − | 2.40087e7i | −0.689536 | − | 0.932651i | ||||
\(922\) | 1.23911e7 | − | 3.81358e7i | 0.480045 | − | 1.47743i | ||||
\(923\) | −2.11256e7 | −0.816216 | ||||||||
\(924\) | −5.21968e7 | + | 1.05281e7i | −2.01124 | + | 0.405668i | ||||
\(925\) | 558415. | 0.0214586 | ||||||||
\(926\) | 3.49317e6 | − | 1.07509e7i | 0.133873 | − | 0.412019i | ||||
\(927\) | 1.04929e7 | − | 7.89354e6i | 0.401049 | − | 0.301698i | ||||
\(928\) | 7.13228e6 | + | 5.18190e6i | 0.271868 | + | 0.197524i | ||||
\(929\) | −3.91872e6 | + | 1.27327e6i | −0.148972 | + | 0.0484040i | −0.382554 | − | 0.923933i | \(-0.624955\pi\) |
0.233582 | + | 0.972337i | \(0.424955\pi\) | |||||||
\(930\) | −6.97536e6 | + | 2.33075e6i | −0.264460 | + | 0.0883667i | ||||
\(931\) | 1.40802e6 | − | 1.93798e6i | 0.0532396 | − | 0.0732781i | ||||
\(932\) | −4.82678e7 | + | 3.50686e7i | −1.82020 | + | 1.32245i | ||||
\(933\) | 3.57576e7 | + | 1.12904e7i | 1.34482 | + | 0.424625i | ||||
\(934\) | − | 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 | 0.335625 | − | 0.941996i | \(-0.391053\pi\) |
−0.282165 | + | 0.959366i | \(0.591053\pi\) | |||||||
\(938\) | 2.11228e7 | + | 2.90731e7i | 0.783871 | + | 1.07891i | ||||
\(939\) | 1.75576e7 | + | 1.25345e7i | 0.649832 | + | 0.463921i | ||||
\(940\) | 4.14568e6 | + | 1.27591e7i | 0.153030 | + | 0.470977i | ||||
\(941\) | 1.31692e7 | + | 4.05307e7i | 0.484826 | + | 1.49214i | 0.832232 | + | 0.554427i | \(0.187063\pi\) |
−0.347406 | + | 0.937715i | \(0.612937\pi\) | |||||||
\(942\) | 293785. | + | 209736.i | 0.0107871 | + | 0.00770099i | ||||
\(943\) | −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 | \(0.940865\pi\) | |||||||
\(948\) | −8.52210e7 | − | 2.69084e7i | −3.07982 | − | 0.972449i | ||||
\(949\) | −7.71876e6 | + | 5.60801e6i | −0.278216 | + | 0.202136i | ||||
\(950\) | −4.49072e7 | + | 6.18095e7i | −1.61438 | + | 2.22201i | ||||
\(951\) | −4.27413e7 | + | 1.42816e7i | −1.53249 | + | 0.512066i | ||||
\(952\) | 5.71063e7 | − | 1.85550e7i | 2.04217 | − | 0.663541i | ||||
\(953\) | 1.63569e7 | + | 1.18840e7i | 0.583403 | + | 0.423867i | 0.839949 | − | 0.542665i | \(-0.182585\pi\) |
−0.256547 | + | 0.966532i | \(0.582585\pi\) | |||||||
\(954\) | 1.91307e7 | + | 2.54305e7i | 0.680549 | + | 0.904657i | ||||
\(955\) | −312596. | + | 962071.i | −0.0110911 | + | 0.0341349i | ||||
\(956\) | 5.08311e7 | 1.79881 | ||||||||
\(957\) | 1.74722e7 | + | 1.60645e7i | 0.616690 | + | 0.567004i | ||||
\(958\) | 9.36411e7 | 3.29650 | ||||||||
\(959\) | 9.66069e6 | − | 2.97326e7i | 0.339205 | − | 1.04396i | ||||
\(960\) | −3.28870e6 | − | 4.44822e6i | −0.115172 | − | 0.155779i | ||||
\(961\) | 1.70672e7 | + | 1.24000e7i | 0.596148 | + | 0.433127i | ||||
\(962\) | −571041. | + | 185543.i | −0.0198944 | + | 0.00646407i | ||||
\(963\) | 4.92453e6 | + | 1.43400e7i | 0.171119 | + | 0.498290i | ||||
\(964\) | −2.01342e7 | + | 2.77124e7i | −0.697818 | + | 0.960464i | ||||
\(965\) | 410217. | − | 298040.i | 0.0141806 | − | 0.0103028i | ||||
\(966\) | −2.10532e7 | + | 6.66772e7i | −0.725898 | + | 2.29898i | ||||
\(967\) | 3.21259e7i | 1.10481i | 0.833575 | + | 0.552407i | \(0.186290\pi\) | ||||
−0.833575 | + | 0.552407i | \(0.813710\pi\) | |||||||
\(968\) | 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 | \(-0.215573\pi\) |
−0.836795 | + | 0.547516i | \(0.815573\pi\) | |||||||
\(972\) | −5.17062e7 | − | 3.43758e7i | −1.75540 | − | 1.16704i | ||||
\(973\) | 1.86932e6 | + | 5.75317e6i | 0.0632996 | + | 0.194816i | ||||
\(974\) | −1.79267e7 | − | 5.51726e7i | −0.605483 | − | 1.86349i | ||||
\(975\) | −7.80955e6 | + | 1.09391e7i | −0.263096 | + | 0.368528i | ||||
\(976\) | −2.29605e7 | − | 3.16024e7i | −0.771537 | − | 1.06193i | ||||
\(977\) | 4.05599e7 | + | 1.31787e7i | 1.35944 | + | 0.441710i | 0.895857 | − | 0.444343i | \(-0.146563\pi\) |
0.463586 | + | 0.886052i | \(0.346563\pi\) | |||||||
\(978\) | −8.44245e6 | + | 70223.7i | −0.282242 | + | 0.00234767i | ||||
\(979\) | 1.34888e7 | − | 1.44281e7i | 0.449797 | − | 0.481118i | ||||
\(980\) | − | 1.02809e6i | − | 0.0341953i | ||||||
\(981\) | −2.11899e7 | − | 6.49736e6i | −0.703002 | − | 0.215558i | ||||
\(982\) | −6.59823e7 | + | 4.79390e7i | −2.18348 | + | 1.58639i | ||||
\(983\) | −2.11256e7 | + | 2.90769e7i | −0.697309 | + | 0.959764i | 0.302668 | + | 0.953096i | \(0.402123\pi\) |
−0.999978 | + | 0.00666811i | \(0.997877\pi\) | |||||||
\(984\) | −2.94052e7 | − | 8.80026e7i | −0.968137 | − | 2.89739i | ||||
\(985\) | −1.18384e7 | + | 3.84653e6i | −0.388779 | + | 0.126322i | ||||
\(986\) | −4.11965e7 | − | 2.99310e7i | −1.34948 | − | 0.980457i | ||||
\(987\) | −1.82504e7 | + | 1.34930e7i | −0.596321 | + | 0.440877i | ||||
\(988\) | 1.72175e7 | − | 5.29900e7i | 0.561148 | − | 1.72704i | ||||
\(989\) | −2.33729e7 | −0.759840 | ||||||||
\(990\) | 8.35116e6 | + | 1.45347e7i | 0.270806 | + | 0.471324i | ||||
\(991\) | −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 | ||||
\(993\) | 1.35518e7 | − | 1.00193e7i | 0.436139 | − | 0.322450i | ||||
\(994\) | −7.05393e7 | − | 5.12498e7i | −2.26446 | − | 1.64523i | ||||
\(995\) | −6.53568e6 | + | 2.12357e6i | −0.209283 | + | 0.0680001i | ||||
\(996\) | 2.47636e7 | + | 7.41114e7i | 0.790981 | + | 2.36721i | ||||
\(997\) | −1.82818e7 | + | 2.51628e7i | −0.582480 | + | 0.801716i | −0.993965 | − | 0.109701i | \(-0.965011\pi\) |
0.411484 | + | 0.911417i | \(0.365011\pi\) | |||||||
\(998\) | 7.33631e7 | − | 5.33014e7i | 2.33158 | − | 1.69400i | ||||
\(999\) | 213324. | − | 716938.i | 0.00676278 | − | 0.0227283i |
(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.2.1 | ✓ | 72 | |
3.2 | odd | 2 | inner | 33.6.f.a.2.18 | yes | 72 | |
11.6 | odd | 10 | inner | 33.6.f.a.17.18 | yes | 72 | |
33.17 | even | 10 | inner | 33.6.f.a.17.1 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.f.a.2.1 | ✓ | 72 | 1.1 | even | 1 | trivial | |
33.6.f.a.2.18 | yes | 72 | 3.2 | odd | 2 | inner | |
33.6.f.a.17.1 | yes | 72 | 33.17 | even | 10 | inner | |
33.6.f.a.17.18 | yes | 72 | 11.6 | odd | 10 | inner |