Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,6,Mod(31,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.31");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.g (of order \(5\), 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: | \(24.0575729719\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 61.6 | ||
Character | \(\chi\) | \(=\) | 150.61 |
Dual form | 150.6.g.d.91.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.23607 | + | 2.35114i | −0.572061 | + | 0.415627i | ||||
\(3\) | −2.78115 | + | 8.55951i | −0.178411 | + | 0.549093i | ||||
\(4\) | 4.94427 | − | 15.2169i | 0.154508 | − | 0.475528i | ||||
\(5\) | 41.0391 | − | 37.9577i | 0.734130 | − | 0.679009i | ||||
\(6\) | −11.1246 | − | 34.2380i | −0.126156 | − | 0.388267i | ||||
\(7\) | −217.896 | −1.68075 | −0.840376 | − | 0.542005i | \(-0.817666\pi\) | ||||
−0.840376 | + | 0.542005i | \(0.817666\pi\) | |||||||
\(8\) | 19.7771 | + | 60.8676i | 0.109254 | + | 0.336249i | ||||
\(9\) | −65.5304 | − | 47.6106i | −0.269672 | − | 0.195928i | ||||
\(10\) | −43.5614 | + | 219.323i | −0.137753 | + | 0.693559i | ||||
\(11\) | 4.90062 | − | 3.56051i | 0.0122115 | − | 0.00887218i | −0.581663 | − | 0.813430i | \(-0.697598\pi\) |
0.593874 | + | 0.804558i | \(0.297598\pi\) | |||||||
\(12\) | 116.498 | + | 84.6411i | 0.233543 | + | 0.169679i | ||||
\(13\) | 49.9815 | + | 36.3137i | 0.0820259 | + | 0.0595953i | 0.628042 | − | 0.778179i | \(-0.283856\pi\) |
−0.546017 | + | 0.837774i | \(0.683856\pi\) | |||||||
\(14\) | 705.125 | − | 512.303i | 0.961493 | − | 0.698565i | ||||
\(15\) | 210.763 | + | 456.841i | 0.241862 | + | 0.524248i | ||||
\(16\) | −207.108 | − | 150.473i | −0.202254 | − | 0.146946i | ||||
\(17\) | 472.147 | + | 1453.12i | 0.396237 | + | 1.21949i | 0.927994 | + | 0.372594i | \(0.121532\pi\) |
−0.531758 | + | 0.846896i | \(0.678468\pi\) | |||||||
\(18\) | 324.000 | 0.235702 | ||||||||
\(19\) | −339.610 | − | 1045.21i | −0.215822 | − | 0.664232i | −0.999094 | − | 0.0425531i | \(-0.986451\pi\) |
0.783272 | − | 0.621679i | \(-0.213549\pi\) | |||||||
\(20\) | −374.691 | − | 812.162i | −0.209458 | − | 0.454012i | ||||
\(21\) | 606.001 | − | 1865.08i | 0.299865 | − | 0.922888i | ||||
\(22\) | −7.48748 | + | 23.0441i | −0.00329821 | + | 0.0101509i | ||||
\(23\) | 3027.50 | − | 2199.61i | 1.19334 | − | 0.867014i | 0.199729 | − | 0.979851i | \(-0.435994\pi\) |
0.993613 | + | 0.112837i | \(0.0359939\pi\) | |||||||
\(24\) | −576.000 | −0.204124 | ||||||||
\(25\) | 243.421 | − | 3115.50i | 0.0778946 | − | 0.996962i | ||||
\(26\) | −247.122 | −0.0716932 | ||||||||
\(27\) | 589.773 | − | 428.495i | 0.155695 | − | 0.113119i | ||||
\(28\) | −1077.34 | + | 3315.70i | −0.259690 | + | 0.799245i | ||||
\(29\) | 813.022 | − | 2502.22i | 0.179518 | − | 0.552498i | −0.820293 | − | 0.571943i | \(-0.806190\pi\) |
0.999811 | + | 0.0194447i | \(0.00618982\pi\) | |||||||
\(30\) | −1756.14 | − | 982.834i | −0.356251 | − | 0.199378i | ||||
\(31\) | 2747.68 | + | 8456.49i | 0.513526 | + | 1.58047i | 0.785949 | + | 0.618292i | \(0.212175\pi\) |
−0.272423 | + | 0.962178i | \(0.587825\pi\) | |||||||
\(32\) | 1024.00 | 0.176777 | ||||||||
\(33\) | 16.8468 | + | 51.8492i | 0.00269298 | + | 0.00828814i | ||||
\(34\) | −4944.38 | − | 3592.30i | −0.733525 | − | 0.532937i | ||||
\(35\) | −8942.25 | + | 8270.82i | −1.23389 | + | 1.14124i | ||||
\(36\) | −1048.49 | + | 761.770i | −0.134836 | + | 0.0979642i | ||||
\(37\) | 11585.8 | + | 8417.60i | 1.39131 | + | 1.01084i | 0.995721 | + | 0.0924149i | \(0.0294586\pi\) |
0.395586 | + | 0.918429i | \(0.370541\pi\) | |||||||
\(38\) | 3556.44 | + | 2583.90i | 0.399536 | + | 0.290280i | ||||
\(39\) | −449.833 | + | 326.823i | −0.0473576 | + | 0.0344073i | ||||
\(40\) | 3122.03 | + | 1747.26i | 0.308523 | + | 0.172666i | ||||
\(41\) | 4664.37 | + | 3388.86i | 0.433344 | + | 0.314843i | 0.782985 | − | 0.622041i | \(-0.213696\pi\) |
−0.349641 | + | 0.936884i | \(0.613696\pi\) | |||||||
\(42\) | 2424.00 | + | 7460.32i | 0.212036 | + | 0.652581i | ||||
\(43\) | 5419.24 | 0.446959 | 0.223479 | − | 0.974709i | \(-0.428258\pi\) | ||||
0.223479 | + | 0.974709i | \(0.428258\pi\) | |||||||
\(44\) | −29.9499 | − | 92.1763i | −0.00233219 | − | 0.00717774i | ||||
\(45\) | −4496.50 | + | 533.487i | −0.331012 | + | 0.0392728i | ||||
\(46\) | −4625.61 | + | 14236.2i | −0.322311 | + | 0.991970i | ||||
\(47\) | −5776.83 | + | 17779.3i | −0.381456 | + | 1.17400i | 0.557562 | + | 0.830135i | \(0.311737\pi\) |
−0.939018 | + | 0.343867i | \(0.888263\pi\) | |||||||
\(48\) | 1863.98 | − | 1354.26i | 0.116772 | − | 0.0848395i | ||||
\(49\) | 30671.5 | 1.82492 | ||||||||
\(50\) | 6537.27 | + | 10654.3i | 0.369804 | + | 0.602698i | ||||
\(51\) | −13751.1 | −0.740306 | ||||||||
\(52\) | 799.704 | − | 581.019i | 0.0410129 | − | 0.0297976i | ||||
\(53\) | −7948.72 | + | 24463.6i | −0.388694 | + | 1.19628i | 0.545071 | + | 0.838390i | \(0.316503\pi\) |
−0.933765 | + | 0.357887i | \(0.883497\pi\) | |||||||
\(54\) | −901.094 | + | 2773.28i | −0.0420519 | + | 0.129422i | ||||
\(55\) | 65.9683 | − | 332.136i | 0.00294055 | − | 0.0148050i | ||||
\(56\) | −4309.34 | − | 13262.8i | −0.183629 | − | 0.565151i | ||||
\(57\) | 9891.00 | 0.403230 | ||||||||
\(58\) | 3252.09 | + | 10008.9i | 0.126938 | + | 0.390675i | ||||
\(59\) | −31049.1 | − | 22558.5i | −1.16123 | − | 0.843686i | −0.171300 | − | 0.985219i | \(-0.554797\pi\) |
−0.989933 | + | 0.141533i | \(0.954797\pi\) | |||||||
\(60\) | 7993.78 | − | 948.421i | 0.286665 | − | 0.0340113i | ||||
\(61\) | 40631.9 | − | 29520.8i | 1.39811 | − | 1.01579i | 0.403193 | − | 0.915115i | \(-0.367900\pi\) |
0.994920 | − | 0.100673i | \(-0.0320995\pi\) | |||||||
\(62\) | −28774.1 | − | 20905.6i | −0.950654 | − | 0.690690i | ||||
\(63\) | 14278.8 | + | 10374.1i | 0.453252 | + | 0.329307i | ||||
\(64\) | −3313.73 | + | 2407.57i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 3429.58 | − | 406.902i | 0.100683 | − | 0.0119456i | ||||
\(66\) | −176.422 | − | 128.178i | −0.00498532 | − | 0.00362205i | ||||
\(67\) | 15380.3 | + | 47335.6i | 0.418578 | + | 1.28825i | 0.909011 | + | 0.416772i | \(0.136839\pi\) |
−0.490433 | + | 0.871479i | \(0.663161\pi\) | |||||||
\(68\) | 24446.4 | 0.641124 | ||||||||
\(69\) | 10407.6 | + | 32031.4i | 0.263166 | + | 0.809940i | ||||
\(70\) | 9491.85 | − | 47789.4i | 0.231529 | − | 1.16570i | ||||
\(71\) | 4893.83 | − | 15061.7i | 0.115213 | − | 0.354590i | −0.876778 | − | 0.480895i | \(-0.840312\pi\) |
0.991991 | + | 0.126305i | \(0.0403117\pi\) | |||||||
\(72\) | 1601.94 | − | 4930.28i | 0.0364180 | − | 0.112083i | ||||
\(73\) | 4522.11 | − | 3285.50i | 0.0993194 | − | 0.0721597i | −0.537017 | − | 0.843571i | \(-0.680449\pi\) |
0.636337 | + | 0.771412i | \(0.280449\pi\) | |||||||
\(74\) | −57283.5 | −1.21605 | ||||||||
\(75\) | 25990.2 | + | 10748.3i | 0.533527 | + | 0.220640i | ||||
\(76\) | −17584.0 | −0.349207 | ||||||||
\(77\) | −1067.82 | + | 775.819i | −0.0205245 | + | 0.0149119i | ||||
\(78\) | 687.284 | − | 2115.24i | 0.0127909 | − | 0.0393662i | ||||
\(79\) | −16570.3 | + | 50998.2i | −0.298719 | + | 0.919364i | 0.683227 | + | 0.730206i | \(0.260576\pi\) |
−0.981947 | + | 0.189158i | \(0.939424\pi\) | |||||||
\(80\) | −14211.2 | + | 1686.08i | −0.248259 | + | 0.0294546i | ||||
\(81\) | 2027.46 | + | 6239.88i | 0.0343352 | + | 0.105673i | ||||
\(82\) | −23061.9 | −0.378757 | ||||||||
\(83\) | 10806.8 | + | 33260.0i | 0.172188 | + | 0.529940i | 0.999494 | − | 0.0318117i | \(-0.0101277\pi\) |
−0.827306 | + | 0.561752i | \(0.810128\pi\) | |||||||
\(84\) | −25384.5 | − | 18442.9i | −0.392528 | − | 0.285188i | ||||
\(85\) | 74533.5 | + | 41713.1i | 1.11893 | + | 0.626217i | ||||
\(86\) | −17537.0 | + | 12741.4i | −0.255688 | + | 0.185768i | ||||
\(87\) | 19156.7 | + | 13918.1i | 0.271345 | + | 0.197144i | ||||
\(88\) | 313.640 | + | 227.872i | 0.00431742 | + | 0.00313679i | ||||
\(89\) | 101616. | − | 73828.2i | 1.35983 | − | 0.987978i | 0.361379 | − | 0.932419i | \(-0.382306\pi\) |
0.998455 | − | 0.0555586i | \(-0.0176940\pi\) | |||||||
\(90\) | 13296.7 | − | 12298.3i | 0.173036 | − | 0.160044i | ||||
\(91\) | −10890.7 | − | 7912.59i | −0.137865 | − | 0.100165i | ||||
\(92\) | −18502.5 | − | 56944.7i | −0.227908 | − | 0.701429i | ||||
\(93\) | −80025.1 | −0.959443 | ||||||||
\(94\) | −23107.3 | − | 71117.0i | −0.269730 | − | 0.830145i | ||||
\(95\) | −53611.1 | − | 30003.7i | −0.609461 | − | 0.341088i | ||||
\(96\) | −2847.90 | + | 8764.94i | −0.0315389 | + | 0.0970668i | ||||
\(97\) | 30213.3 | − | 92987.1i | 0.326039 | − | 1.00344i | −0.644931 | − | 0.764241i | \(-0.723114\pi\) |
0.970969 | − | 0.239203i | \(-0.0768863\pi\) | |||||||
\(98\) | −99255.1 | + | 72113.0i | −1.04397 | + | 0.758488i | ||||
\(99\) | −490.657 | −0.00503142 | ||||||||
\(100\) | −46204.8 | − | 19108.0i | −0.462048 | − | 0.191080i | ||||
\(101\) | 769.198 | 0.00750300 | 0.00375150 | − | 0.999993i | \(-0.498806\pi\) | ||||
0.00375150 | + | 0.999993i | \(0.498806\pi\) | |||||||
\(102\) | 44499.4 | − | 32330.7i | 0.423501 | − | 0.307691i | ||||
\(103\) | 19851.7 | − | 61097.4i | 0.184376 | − | 0.567452i | −0.815561 | − | 0.578672i | \(-0.803571\pi\) |
0.999937 | + | 0.0112192i | \(0.00357126\pi\) | |||||||
\(104\) | −1221.84 | + | 3760.43i | −0.0110772 | + | 0.0340922i | ||||
\(105\) | −45924.4 | − | 99543.7i | −0.406509 | − | 0.881131i | ||||
\(106\) | −31794.9 | − | 97854.6i | −0.274848 | − | 0.845895i | ||||
\(107\) | −133642. | −1.12845 | −0.564227 | − | 0.825620i | \(-0.690826\pi\) | ||||
−0.564227 | + | 0.825620i | \(0.690826\pi\) | |||||||
\(108\) | −3604.37 | − | 11093.1i | −0.0297352 | − | 0.0915155i | ||||
\(109\) | −67561.7 | − | 49086.5i | −0.544671 | − | 0.395727i | 0.281146 | − | 0.959665i | \(-0.409286\pi\) |
−0.825817 | + | 0.563938i | \(0.809286\pi\) | |||||||
\(110\) | 567.422 | + | 1229.92i | 0.00447120 | + | 0.00969157i | ||||
\(111\) | −104272. | + | 75758.4i | −0.803271 | + | 0.583611i | ||||
\(112\) | 45128.0 | + | 32787.4i | 0.339939 | + | 0.246980i | ||||
\(113\) | 125365. | + | 91083.0i | 0.923592 | + | 0.671029i | 0.944416 | − | 0.328754i | \(-0.106629\pi\) |
−0.0208233 | + | 0.999783i | \(0.506629\pi\) | |||||||
\(114\) | −32007.9 | + | 23255.1i | −0.230672 | + | 0.167593i | ||||
\(115\) | 40753.9 | − | 205187.i | 0.287359 | − | 1.44679i | ||||
\(116\) | −34056.3 | − | 24743.3i | −0.234992 | − | 0.170731i | ||||
\(117\) | −1546.39 | − | 4759.30i | −0.0104437 | − | 0.0321424i | ||||
\(118\) | 153515. | 1.01496 | ||||||||
\(119\) | −102879. | − | 316628.i | −0.665975 | − | 2.04966i | ||||
\(120\) | −23638.5 | + | 21863.7i | −0.149854 | + | 0.138602i | ||||
\(121\) | −49756.2 | + | 153134.i | −0.308947 | + | 0.950840i | ||||
\(122\) | −62079.9 | + | 191062.i | −0.377617 | + | 1.16219i | ||||
\(123\) | −41979.3 | + | 30499.7i | −0.250191 | + | 0.181775i | ||||
\(124\) | 142267. | 0.830902 | ||||||||
\(125\) | −108268. | − | 137097.i | −0.619761 | − | 0.784791i | ||||
\(126\) | −70598.2 | −0.396157 | ||||||||
\(127\) | 262584. | − | 190779.i | 1.44464 | − | 1.04959i | 0.457593 | − | 0.889162i | \(-0.348712\pi\) |
0.987047 | − | 0.160430i | \(-0.0512881\pi\) | |||||||
\(128\) | 5062.93 | − | 15582.1i | 0.0273135 | − | 0.0840623i | ||||
\(129\) | −15071.7 | + | 46386.1i | −0.0797424 | + | 0.245422i | ||||
\(130\) | −10141.7 | + | 9380.19i | −0.0526322 | + | 0.0486803i | ||||
\(131\) | 36915.9 | + | 113616.i | 0.187947 | + | 0.578442i | 0.999987 | − | 0.00516059i | \(-0.00164268\pi\) |
−0.812040 | + | 0.583602i | \(0.801643\pi\) | |||||||
\(132\) | 872.279 | 0.00435733 | ||||||||
\(133\) | 73999.4 | + | 227747.i | 0.362743 | + | 1.11641i | ||||
\(134\) | −161064. | − | 117020.i | −0.774884 | − | 0.562986i | ||||
\(135\) | 7939.07 | − | 39971.5i | 0.0374917 | − | 0.188763i | ||||
\(136\) | −79110.1 | + | 57476.9i | −0.366762 | + | 0.266468i | ||||
\(137\) | 140582. | + | 102139.i | 0.639924 | + | 0.464932i | 0.859824 | − | 0.510590i | \(-0.170573\pi\) |
−0.219900 | + | 0.975522i | \(0.570573\pi\) | |||||||
\(138\) | −108990. | − | 79186.0i | −0.487180 | − | 0.353957i | ||||
\(139\) | 105648. | − | 76758.0i | 0.463794 | − | 0.336966i | −0.331224 | − | 0.943552i | \(-0.607461\pi\) |
0.795018 | + | 0.606586i | \(0.207461\pi\) | |||||||
\(140\) | 81643.4 | + | 176967.i | 0.352047 | + | 0.763082i | ||||
\(141\) | −136115. | − | 98893.7i | −0.576580 | − | 0.418910i | ||||
\(142\) | 19575.3 | + | 60246.6i | 0.0814682 | + | 0.250733i | ||||
\(143\) | 374.235 | 0.00153040 | ||||||||
\(144\) | 6407.78 | + | 19721.1i | 0.0257514 | + | 0.0792547i | ||||
\(145\) | −61613.0 | − | 133550.i | −0.243362 | − | 0.527500i | ||||
\(146\) | −6909.17 | + | 21264.2i | −0.0268252 | + | 0.0825596i | ||||
\(147\) | −85302.1 | + | 262533.i | −0.325587 | + | 1.00205i | ||||
\(148\) | 185373. | − | 134682.i | 0.695653 | − | 0.505422i | ||||
\(149\) | 244176. | 0.901026 | 0.450513 | − | 0.892770i | \(-0.351241\pi\) | ||||
0.450513 | + | 0.892770i | \(0.351241\pi\) | |||||||
\(150\) | −109377. | + | 26324.5i | −0.396914 | + | 0.0955284i | ||||
\(151\) | −173628. | −0.619695 | −0.309847 | − | 0.950786i | \(-0.600278\pi\) | ||||
−0.309847 | + | 0.950786i | \(0.600278\pi\) | |||||||
\(152\) | 56903.0 | − | 41342.4i | 0.199768 | − | 0.145140i | ||||
\(153\) | 38243.9 | − | 117703.i | 0.132079 | − | 0.406497i | ||||
\(154\) | 1631.49 | − | 5021.21i | 0.00554348 | − | 0.0170611i | ||||
\(155\) | 433752. | + | 242751.i | 1.45015 | + | 0.811582i | ||||
\(156\) | 2749.14 | + | 8460.97i | 0.00904451 | + | 0.0278361i | ||||
\(157\) | 265895. | 0.860917 | 0.430459 | − | 0.902610i | \(-0.358352\pi\) | ||||
0.430459 | + | 0.902610i | \(0.358352\pi\) | |||||||
\(158\) | −66281.3 | − | 203993.i | −0.211226 | − | 0.650088i | ||||
\(159\) | −187290. | − | 136074.i | −0.587519 | − | 0.426858i | ||||
\(160\) | 42024.1 | − | 38868.7i | 0.129777 | − | 0.120033i | ||||
\(161\) | −659680. | + | 479285.i | −2.00571 | + | 1.45723i | ||||
\(162\) | −21231.8 | − | 15425.8i | −0.0635624 | − | 0.0461808i | ||||
\(163\) | 226738. | + | 164735.i | 0.668429 | + | 0.485642i | 0.869499 | − | 0.493935i | \(-0.164442\pi\) |
−0.201070 | + | 0.979577i | \(0.564442\pi\) | |||||||
\(164\) | 74629.9 | − | 54221.8i | 0.216672 | − | 0.157421i | ||||
\(165\) | 2659.46 | + | 1488.38i | 0.00760472 | + | 0.00425602i | ||||
\(166\) | −113170. | − | 82223.2i | −0.318759 | − | 0.231592i | ||||
\(167\) | −121716. | − | 374603.i | −0.337720 | − | 1.03939i | −0.965367 | − | 0.260897i | \(-0.915982\pi\) |
0.627647 | − | 0.778498i | \(-0.284018\pi\) | |||||||
\(168\) | 125508. | 0.343082 | ||||||||
\(169\) | −113556. | − | 349491.i | −0.305840 | − | 0.941280i | ||||
\(170\) | −339269. | + | 40252.5i | −0.900372 | + | 0.106824i | ||||
\(171\) | −27508.4 | + | 84662.1i | −0.0719407 | + | 0.221411i | ||||
\(172\) | 26794.2 | − | 82464.1i | 0.0690589 | − | 0.212542i | ||||
\(173\) | −85938.8 | + | 62438.2i | −0.218310 | + | 0.158612i | −0.691566 | − | 0.722314i | \(-0.743079\pi\) |
0.473255 | + | 0.880925i | \(0.343079\pi\) | |||||||
\(174\) | −94715.7 | −0.237164 | ||||||||
\(175\) | −53040.3 | + | 678855.i | −0.130921 | + | 1.67564i | ||||
\(176\) | −1550.72 | −0.00377356 | ||||||||
\(177\) | 279442. | − | 203027.i | 0.670439 | − | 0.487102i | ||||
\(178\) | −155255. | + | 477826.i | −0.367279 | + | 1.13037i | ||||
\(179\) | −51064.2 | + | 157159.i | −0.119120 | + | 0.366613i | −0.992784 | − | 0.119916i | \(-0.961737\pi\) |
0.873664 | + | 0.486529i | \(0.161737\pi\) | |||||||
\(180\) | −14113.9 | + | 71060.5i | −0.0324688 | + | 0.163473i | ||||
\(181\) | 244490. | + | 752464.i | 0.554709 | + | 1.70722i | 0.696710 | + | 0.717353i | \(0.254647\pi\) |
−0.142001 | + | 0.989867i | \(0.545353\pi\) | |||||||
\(182\) | 53846.8 | 0.120498 | ||||||||
\(183\) | 139680. | + | 429890.i | 0.308323 | + | 0.948921i | ||||
\(184\) | 193760. | + | 140775.i | 0.421910 | + | 0.306536i | ||||
\(185\) | 794986. | − | 94321.0i | 1.70777 | − | 0.202618i | ||||
\(186\) | 258967. | − | 188150.i | 0.548860 | − | 0.398770i | ||||
\(187\) | 7487.65 | + | 5440.09i | 0.0156582 | + | 0.0113763i | ||||
\(188\) | 241983. | + | 175811.i | 0.499333 | + | 0.362787i | ||||
\(189\) | −128509. | + | 93367.3i | −0.261685 | + | 0.190125i | ||||
\(190\) | 244032. | − | 28953.2i | 0.490414 | − | 0.0581851i | ||||
\(191\) | −520965. | − | 378503.i | −1.03330 | − | 0.750734i | −0.0643304 | − | 0.997929i | \(-0.520491\pi\) |
−0.968966 | + | 0.247195i | \(0.920491\pi\) | |||||||
\(192\) | −11391.6 | − | 35059.7i | −0.0223014 | − | 0.0686366i | ||||
\(193\) | −533043. | −1.03007 | −0.515037 | − | 0.857168i | \(-0.672222\pi\) | ||||
−0.515037 | + | 0.857168i | \(0.672222\pi\) | |||||||
\(194\) | 120853. | + | 371948.i | 0.230544 | + | 0.709542i | ||||
\(195\) | −6055.31 | + | 30487.2i | −0.0114038 | + | 0.0574157i | ||||
\(196\) | 151648. | − | 466725.i | 0.281966 | − | 0.867803i | ||||
\(197\) | 59303.6 | − | 182518.i | 0.108872 | − | 0.335073i | −0.881748 | − | 0.471721i | \(-0.843633\pi\) |
0.990620 | + | 0.136648i | \(0.0436330\pi\) | |||||||
\(198\) | 1587.80 | − | 1153.60i | 0.00287828 | − | 0.00209119i | ||||
\(199\) | 53695.0 | 0.0961173 | 0.0480586 | − | 0.998845i | \(-0.484697\pi\) | ||||
0.0480586 | + | 0.998845i | \(0.484697\pi\) | |||||||
\(200\) | 194448. | − | 46799.2i | 0.343738 | − | 0.0827300i | ||||
\(201\) | −447944. | −0.782048 | ||||||||
\(202\) | −2489.18 | + | 1808.49i | −0.00429218 | + | 0.00311845i | ||||
\(203\) | −177154. | + | 545223.i | −0.301724 | + | 0.928612i | ||||
\(204\) | −67989.1 | + | 209249.i | −0.114384 | + | 0.352037i | ||||
\(205\) | 320055. | − | 37972.9i | 0.531912 | − | 0.0631087i | ||||
\(206\) | 79407.0 | + | 244390.i | 0.130374 | + | 0.401250i | ||||
\(207\) | −303118. | −0.491684 | ||||||||
\(208\) | −4887.35 | − | 15041.7i | −0.00783277 | − | 0.0241068i | ||||
\(209\) | −5385.78 | − | 3913.00i | −0.00852870 | − | 0.00619646i | ||||
\(210\) | 382656. | + | 214155.i | 0.598770 | + | 0.335105i | ||||
\(211\) | 489154. | − | 355391.i | 0.756378 | − | 0.549541i | −0.141419 | − | 0.989950i | \(-0.545166\pi\) |
0.897797 | + | 0.440409i | \(0.145166\pi\) | |||||||
\(212\) | 332960. | + | 241910.i | 0.508807 | + | 0.369670i | ||||
\(213\) | 115310. | + | 83777.6i | 0.174148 | + | 0.126526i | ||||
\(214\) | 432475. | − | 314211.i | 0.645545 | − | 0.469016i | ||||
\(215\) | 222401. | − | 205702.i | 0.328126 | − | 0.303489i | ||||
\(216\) | 37745.5 | + | 27423.7i | 0.0550466 | + | 0.0399937i | ||||
\(217\) | −598708. | − | 1.84263e6i | −0.863109 | − | 2.65638i | ||||
\(218\) | 334044. | 0.476060 | ||||||||
\(219\) | 15545.6 | + | 47844.5i | 0.0219027 | + | 0.0674096i | ||||
\(220\) | −4727.92 | − | 2646.01i | −0.00658588 | − | 0.00368582i | ||||
\(221\) | −29169.5 | + | 89774.4i | −0.0401742 | + | 0.123644i | ||||
\(222\) | 159314. | − | 490319.i | 0.216956 | − | 0.667722i | ||||
\(223\) | −595860. | + | 432918.i | −0.802384 | + | 0.582966i | −0.911613 | − | 0.411051i | \(-0.865162\pi\) |
0.109229 | + | 0.994017i | \(0.465162\pi\) | |||||||
\(224\) | −223125. | −0.297118 | ||||||||
\(225\) | −164283. | + | 192571.i | −0.216339 | + | 0.253591i | ||||
\(226\) | −619839. | −0.807249 | ||||||||
\(227\) | −298530. | + | 216895.i | −0.384524 | + | 0.279373i | −0.763208 | − | 0.646153i | \(-0.776377\pi\) |
0.378684 | + | 0.925526i | \(0.376377\pi\) | |||||||
\(228\) | 48903.8 | − | 150510.i | 0.0623025 | − | 0.191747i | ||||
\(229\) | 85315.8 | − | 262575.i | 0.107508 | − | 0.330875i | −0.882803 | − | 0.469743i | \(-0.844346\pi\) |
0.990311 | + | 0.138868i | \(0.0443464\pi\) | |||||||
\(230\) | 350542. | + | 759818.i | 0.436938 | + | 0.947087i | ||||
\(231\) | −3670.85 | − | 11297.7i | −0.00452623 | − | 0.0139303i | ||||
\(232\) | 168384. | 0.205390 | ||||||||
\(233\) | −195578. | − | 601928.i | −0.236010 | − | 0.726364i | −0.996986 | − | 0.0775840i | \(-0.975279\pi\) |
0.760976 | − | 0.648780i | \(-0.224721\pi\) | |||||||
\(234\) | 16194.0 | + | 11765.6i | 0.0193337 | + | 0.0140467i | ||||
\(235\) | 437784. | + | 948921.i | 0.517119 | + | 1.12088i | ||||
\(236\) | −496786. | + | 360936.i | −0.580617 | + | 0.421843i | ||||
\(237\) | −390435. | − | 283668.i | −0.451521 | − | 0.328049i | ||||
\(238\) | 1.07736e6 | + | 782747.i | 1.23287 | + | 0.895734i | ||||
\(239\) | −283936. | + | 206292.i | −0.321533 | + | 0.233607i | −0.736829 | − | 0.676079i | \(-0.763678\pi\) |
0.415296 | + | 0.909686i | \(0.363678\pi\) | |||||||
\(240\) | 25091.4 | − | 126330.i | 0.0281188 | − | 0.141572i | ||||
\(241\) | 632191. | + | 459314.i | 0.701142 | + | 0.509409i | 0.880304 | − | 0.474410i | \(-0.157339\pi\) |
−0.179162 | + | 0.983820i | \(0.557339\pi\) | |||||||
\(242\) | −199025. | − | 612535.i | −0.218458 | − | 0.672345i | ||||
\(243\) | −59049.0 | −0.0641500 | ||||||||
\(244\) | −248320. | − | 764250.i | −0.267016 | − | 0.821790i | ||||
\(245\) | 1.25873e6 | − | 1.16422e6i | 1.33973 | − | 1.23914i | ||||
\(246\) | 64138.7 | − | 197398.i | 0.0675744 | − | 0.207973i | ||||
\(247\) | 20981.3 | − | 64573.7i | 0.0218821 | − | 0.0673462i | ||||
\(248\) | −460385. | + | 334490.i | −0.475327 | + | 0.345345i | ||||
\(249\) | −314744. | −0.321706 | ||||||||
\(250\) | 672697. | + | 189104.i | 0.680721 | + | 0.191359i | ||||
\(251\) | 305776. | 0.306351 | 0.153175 | − | 0.988199i | \(-0.451050\pi\) | ||||
0.153175 | + | 0.988199i | \(0.451050\pi\) | |||||||
\(252\) | 228461. | − | 165986.i | 0.226626 | − | 0.164653i | ||||
\(253\) | 7004.91 | − | 21558.9i | 0.00688020 | − | 0.0211751i | ||||
\(254\) | −401193. | + | 1.23475e6i | −0.390184 | + | 1.20086i | ||||
\(255\) | −564333. | + | 521960.i | −0.543481 | + | 0.502674i | ||||
\(256\) | 20251.7 | + | 62328.4i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 1.71377e6 | 1.61853 | 0.809264 | − | 0.587445i | \(-0.199866\pi\) | ||||
0.809264 | + | 0.587445i | \(0.199866\pi\) | |||||||
\(258\) | −60287.0 | − | 185544.i | −0.0563864 | − | 0.173539i | ||||
\(259\) | −2.52450e6 | − | 1.83416e6i | −2.33844 | − | 1.69898i | ||||
\(260\) | 10765.0 | − | 54199.4i | 0.00987598 | − | 0.0497235i | ||||
\(261\) | −172410. | + | 125263.i | −0.156661 | + | 0.113821i | ||||
\(262\) | −386589. | − | 280873.i | −0.347933 | − | 0.252788i | ||||
\(263\) | −264914. | − | 192472.i | −0.236165 | − | 0.171584i | 0.463408 | − | 0.886145i | \(-0.346627\pi\) |
−0.699573 | + | 0.714561i | \(0.746627\pi\) | |||||||
\(264\) | −2822.76 | + | 2050.85i | −0.00249266 | + | 0.00181103i | ||||
\(265\) | 602376. | + | 1.30568e6i | 0.526930 | + | 1.14215i | ||||
\(266\) | −774932. | − | 563021.i | −0.671521 | − | 0.487889i | ||||
\(267\) | 349324. | + | 1.07511e6i | 0.299882 | + | 0.922941i | ||||
\(268\) | 796345. | 0.677274 | ||||||||
\(269\) | −247804. | − | 762662.i | −0.208799 | − | 0.642616i | −0.999536 | − | 0.0304605i | \(-0.990303\pi\) |
0.790737 | − | 0.612156i | \(-0.209697\pi\) | |||||||
\(270\) | 68287.4 | + | 148017.i | 0.0570074 | + | 0.123566i | ||||
\(271\) | 27129.8 | − | 83496.9i | 0.0224400 | − | 0.0690633i | −0.939209 | − | 0.343345i | \(-0.888440\pi\) |
0.961649 | + | 0.274282i | \(0.0884400\pi\) | |||||||
\(272\) | 120870. | − | 371998.i | 0.0990591 | − | 0.304873i | ||||
\(273\) | 98016.7 | − | 71213.3i | 0.0795964 | − | 0.0578302i | ||||
\(274\) | −695076. | −0.559314 | ||||||||
\(275\) | −9899.87 | − | 16134.6i | −0.00789401 | − | 0.0128655i | ||||
\(276\) | 538877. | 0.425811 | ||||||||
\(277\) | −403606. | + | 293237.i | −0.316052 | + | 0.229625i | −0.734489 | − | 0.678621i | \(-0.762578\pi\) |
0.418437 | + | 0.908246i | \(0.362578\pi\) | |||||||
\(278\) | −161416. | + | 496788.i | −0.125267 | + | 0.385531i | ||||
\(279\) | 222562. | − | 684976.i | 0.171175 | − | 0.526823i | ||||
\(280\) | −680277. | − | 380720.i | −0.518550 | − | 0.290209i | ||||
\(281\) | −375608. | − | 1.15600e6i | −0.283772 | − | 0.873360i | −0.986764 | − | 0.162163i | \(-0.948153\pi\) |
0.702992 | − | 0.711198i | \(-0.251847\pi\) | |||||||
\(282\) | 672992. | 0.503949 | ||||||||
\(283\) | 552484. | + | 1.70037e6i | 0.410066 | + | 1.26205i | 0.916590 | + | 0.399828i | \(0.130930\pi\) |
−0.506524 | + | 0.862226i | \(0.669070\pi\) | |||||||
\(284\) | −204995. | − | 148938.i | −0.150816 | − | 0.109574i | ||||
\(285\) | 405918. | − | 375440.i | 0.296023 | − | 0.273797i | ||||
\(286\) | −1211.05 | + | 879.880i | −0.000875482 | + | 0.000636075i | ||||
\(287\) | −1.01634e6 | − | 738418.i | −0.728344 | − | 0.529173i | ||||
\(288\) | −67103.1 | − | 48753.3i | −0.0476718 | − | 0.0346356i | ||||
\(289\) | −739940. | + | 537598.i | −0.521137 | + | 0.378628i | ||||
\(290\) | 513378. | + | 287314.i | 0.358461 | + | 0.200615i | ||||
\(291\) | 711896. | + | 517223.i | 0.492815 | + | 0.358051i | ||||
\(292\) | −27636.7 | − | 85056.9i | −0.0189683 | − | 0.0583785i | ||||
\(293\) | −2.29699e6 | −1.56311 | −0.781554 | − | 0.623837i | \(-0.785573\pi\) | ||||
−0.781554 | + | 0.623837i | \(0.785573\pi\) | |||||||
\(294\) | −341209. | − | 1.05013e6i | −0.230225 | − | 0.708558i | ||||
\(295\) | −2.13050e6 | + | 252773.i | −1.42537 | + | 0.169112i | ||||
\(296\) | −283225. | + | 871678.i | −0.187890 | + | 0.578265i | ||||
\(297\) | 1364.59 | − | 4199.78i | 0.000897660 | − | 0.00276271i | ||||
\(298\) | −790171. | + | 574092.i | −0.515442 | + | 0.374491i | ||||
\(299\) | 231195. | 0.149555 | ||||||||
\(300\) | 292058. | − | 342348.i | 0.187355 | − | 0.219616i | ||||
\(301\) | −1.18083e6 | −0.751227 | ||||||||
\(302\) | 561872. | − | 408224.i | 0.354503 | − | 0.257562i | ||||
\(303\) | −2139.26 | + | 6583.96i | −0.00133862 | + | 0.00411984i | ||||
\(304\) | −86940.0 | + | 267574.i | −0.0539555 | + | 0.166058i | ||||
\(305\) | 546954. | − | 2.75380e6i | 0.336668 | − | 1.69505i | ||||
\(306\) | 152975. | + | 470810.i | 0.0933938 | + | 0.287437i | ||||
\(307\) | −467443. | −0.283063 | −0.141531 | − | 0.989934i | \(-0.545203\pi\) | ||||
−0.141531 | + | 0.989934i | \(0.545203\pi\) | |||||||
\(308\) | 6525.95 | + | 20084.8i | 0.00391983 | + | 0.0120640i | ||||
\(309\) | 467753. | + | 339842.i | 0.278689 | + | 0.202480i | ||||
\(310\) | −1.97439e6 | + | 234252.i | −1.16689 | + | 0.138445i | ||||
\(311\) | −1.59708e6 | + | 1.16035e6i | −0.936322 | + | 0.680278i | −0.947533 | − | 0.319659i | \(-0.896432\pi\) |
0.0112102 | + | 0.999937i | \(0.496432\pi\) | |||||||
\(312\) | −28789.3 | − | 20916.7i | −0.0167435 | − | 0.0121648i | ||||
\(313\) | −477870. | − | 347193.i | −0.275708 | − | 0.200314i | 0.441335 | − | 0.897342i | \(-0.354505\pi\) |
−0.717043 | + | 0.697029i | \(0.754505\pi\) | |||||||
\(314\) | −860455. | + | 625157.i | −0.492497 | + | 0.357820i | ||||
\(315\) | 979768. | − | 116244.i | 0.556348 | − | 0.0660079i | ||||
\(316\) | 694107. | + | 504298.i | 0.391029 | + | 0.284099i | ||||
\(317\) | 437847. | + | 1.34755e6i | 0.244722 | + | 0.753178i | 0.995682 | + | 0.0928300i | \(0.0295913\pi\) |
−0.750960 | + | 0.660348i | \(0.770409\pi\) | |||||||
\(318\) | 926014. | 0.513511 | ||||||||
\(319\) | −4924.87 | − | 15157.2i | −0.00270968 | − | 0.00833955i | ||||
\(320\) | −44606.9 | + | 224586.i | −0.0243516 | + | 0.122605i | ||||
\(321\) | 371679. | − | 1.14391e6i | 0.201329 | − | 0.619626i | ||||
\(322\) | 1.00790e6 | − | 3.10200e6i | 0.541724 | − | 1.66726i | ||||
\(323\) | 1.35847e6 | − | 986985.i | 0.724508 | − | 0.526386i | ||||
\(324\) | 104976. | 0.0555556 | ||||||||
\(325\) | 125302. | − | 146878.i | 0.0658036 | − | 0.0771345i | ||||
\(326\) | −1.12105e6 | −0.584228 | ||||||||
\(327\) | 608055. | − | 441778.i | 0.314466 | − | 0.228473i | ||||
\(328\) | −114024. | + | 350931.i | −0.0585211 | + | 0.180110i | ||||
\(329\) | 1.25875e6 | − | 3.87402e6i | 0.641133 | − | 1.97321i | ||||
\(330\) | −12105.6 | + | 1436.26i | −0.00611928 | + | 0.000726021i | ||||
\(331\) | 291944. | + | 898512.i | 0.146464 | + | 0.450769i | 0.997196 | − | 0.0748298i | \(-0.0238413\pi\) |
−0.850733 | + | 0.525599i | \(0.823841\pi\) | |||||||
\(332\) | 559546. | 0.278606 | ||||||||
\(333\) | −358457. | − | 1.10322e6i | −0.177144 | − | 0.545193i | ||||
\(334\) | 1.27463e6 | + | 926070.i | 0.625197 | + | 0.454232i | ||||
\(335\) | 2.42794e6 | + | 1.35881e6i | 1.18202 | + | 0.661526i | ||||
\(336\) | −406152. | + | 295087.i | −0.196264 | + | 0.142594i | ||||
\(337\) | 204470. | + | 148556.i | 0.0980740 | + | 0.0712550i | 0.635742 | − | 0.771902i | \(-0.280694\pi\) |
−0.537667 | + | 0.843157i | \(0.680694\pi\) | |||||||
\(338\) | 1.18918e6 | + | 863988.i | 0.566181 | + | 0.411354i | ||||
\(339\) | −1.12829e6 | + | 819747.i | −0.533236 | + | 0.387419i | ||||
\(340\) | 1.00326e6 | − | 927929.i | 0.470669 | − | 0.435329i | ||||
\(341\) | 43574.7 | + | 31658.9i | 0.0202931 | + | 0.0147438i | ||||
\(342\) | −110033. | − | 338648.i | −0.0508698 | − | 0.156561i | ||||
\(343\) | −3.02101e6 | −1.38649 | ||||||||
\(344\) | 107177. | + | 329856.i | 0.0488320 | + | 0.150290i | ||||
\(345\) | 1.64296e6 | + | 919490.i | 0.743154 | + | 0.415910i | ||||
\(346\) | 131303. | − | 404109.i | 0.0589636 | − | 0.181471i | ||||
\(347\) | −256445. | + | 789256.i | −0.114333 | + | 0.351880i | −0.991807 | − | 0.127743i | \(-0.959227\pi\) |
0.877475 | + | 0.479623i | \(0.159227\pi\) | |||||||
\(348\) | 306507. | − | 222690.i | 0.135672 | − | 0.0985718i | ||||
\(349\) | −434928. | −0.191141 | −0.0955705 | − | 0.995423i | \(-0.530468\pi\) | ||||
−0.0955705 | + | 0.995423i | \(0.530468\pi\) | |||||||
\(350\) | −1.42444e6 | − | 2.32153e6i | −0.621548 | − | 1.01299i | ||||
\(351\) | 45038.0 | 0.0195124 | ||||||||
\(352\) | 5018.23 | − | 3645.96i | 0.00215871 | − | 0.00156839i | ||||
\(353\) | −200524. | + | 617148.i | −0.0856503 | + | 0.263604i | −0.984704 | − | 0.174233i | \(-0.944255\pi\) |
0.899054 | + | 0.437837i | \(0.144255\pi\) | |||||||
\(354\) | −426950. | + | 1.31402e6i | −0.181079 | + | 0.557305i | ||||
\(355\) | −370868. | − | 803876.i | −0.156188 | − | 0.338546i | ||||
\(356\) | −621020. | − | 1.91130e6i | −0.259705 | − | 0.799291i | ||||
\(357\) | 2.99630e6 | 1.24427 | ||||||||
\(358\) | −204257. | − | 628638.i | −0.0842304 | − | 0.259235i | ||||
\(359\) | 674193. | + | 489830.i | 0.276089 | + | 0.200590i | 0.717210 | − | 0.696858i | \(-0.245419\pi\) |
−0.441121 | + | 0.897448i | \(0.645419\pi\) | |||||||
\(360\) | −121400. | − | 263140.i | −0.0493698 | − | 0.107012i | ||||
\(361\) | 1.02608e6 | − | 745487.i | 0.414392 | − | 0.301073i | ||||
\(362\) | −2.56034e6 | − | 1.86019e6i | −1.02689 | − | 0.746082i | ||||
\(363\) | −1.17237e6 | − | 851777.i | −0.466980 | − | 0.339281i | ||||
\(364\) | −174252. | + | 126601.i | −0.0689325 | + | 0.0500824i | ||||
\(365\) | 60873.1 | − | 306483.i | 0.0239163 | − | 0.120413i | ||||
\(366\) | −1.46275e6 | − | 1.06275e6i | −0.570777 | − | 0.414694i | ||||
\(367\) | −35263.8 | − | 108531.i | −0.0136667 | − | 0.0420618i | 0.943991 | − | 0.329972i | \(-0.107039\pi\) |
−0.957657 | + | 0.287911i | \(0.907039\pi\) | |||||||
\(368\) | −958003. | −0.368763 | ||||||||
\(369\) | −144312. | − | 444147.i | −0.0551742 | − | 0.169809i | ||||
\(370\) | −2.35087e6 | + | 2.17435e6i | −0.892737 | + | 0.825706i | ||||
\(371\) | 1.73199e6 | − | 5.33052e6i | 0.653297 | − | 2.01064i | ||||
\(372\) | −395666. | + | 1.21773e6i | −0.148242 | + | 0.456242i | ||||
\(373\) | −784356. | + | 569868.i | −0.291905 | + | 0.212081i | −0.724093 | − | 0.689702i | \(-0.757741\pi\) |
0.432189 | + | 0.901783i | \(0.357741\pi\) | |||||||
\(374\) | −37021.0 | −0.0136857 | ||||||||
\(375\) | 1.47459e6 | − | 545430.i | 0.541495 | − | 0.200291i | ||||
\(376\) | −1.19643e6 | −0.436433 | ||||||||
\(377\) | 131501. | − | 95541.0i | 0.0476514 | − | 0.0346208i | ||||
\(378\) | 196344. | − | 604286.i | 0.0706788 | − | 0.217527i | ||||
\(379\) | 890187. | − | 2.73971e6i | 0.318334 | − | 0.979732i | −0.656026 | − | 0.754738i | \(-0.727764\pi\) |
0.974360 | − | 0.224993i | \(-0.0722361\pi\) | |||||||
\(380\) | −721632. | + | 667449.i | −0.256364 | + | 0.237115i | ||||
\(381\) | 902685. | + | 2.77818e6i | 0.318584 | + | 0.980500i | ||||
\(382\) | 2.57579e6 | 0.903134 | ||||||||
\(383\) | 782034. | + | 2.40685e6i | 0.272414 | + | 0.838403i | 0.989892 | + | 0.141822i | \(0.0452961\pi\) |
−0.717479 | + | 0.696581i | \(0.754704\pi\) | |||||||
\(384\) | 119294. | + | 86672.5i | 0.0412850 | + | 0.0299953i | ||||
\(385\) | −14374.2 | + | 72371.1i | −0.00494233 | + | 0.0248836i | ||||
\(386\) | 1.72496e6 | − | 1.25326e6i | 0.589266 | − | 0.428127i | ||||
\(387\) | −355125. | − | 258013.i | −0.120532 | − | 0.0875719i | ||||
\(388\) | −1.26559e6 | − | 919507.i | −0.426790 | − | 0.310081i | ||||
\(389\) | −3.19616e6 | + | 2.32214e6i | −1.07091 | + | 0.778063i | −0.976076 | − | 0.217429i | \(-0.930233\pi\) |
−0.0948364 | + | 0.995493i | \(0.530233\pi\) | |||||||
\(390\) | −52084.3 | − | 112896.i | −0.0173398 | − | 0.0375850i | ||||
\(391\) | 4.62572e6 | + | 3.36078e6i | 1.53016 | + | 1.11173i | ||||
\(392\) | 606593. | + | 1.86690e6i | 0.199380 | + | 0.613629i | ||||
\(393\) | −1.07516e6 | −0.351150 | ||||||||
\(394\) | 237214. | + | 730070.i | 0.0769840 | + | 0.236932i | ||||
\(395\) | 1.25575e6 | + | 2.72189e6i | 0.404957 | + | 0.877766i | ||||
\(396\) | −2425.94 | + | 7466.28i | −0.000777396 | + | 0.00239258i | ||||
\(397\) | 500257. | − | 1.53963e6i | 0.159300 | − | 0.490276i | −0.839271 | − | 0.543714i | \(-0.817018\pi\) |
0.998571 | + | 0.0534375i | \(0.0170178\pi\) | |||||||
\(398\) | −173761. | + | 126245.i | −0.0549850 | + | 0.0399489i | ||||
\(399\) | −2.15520e6 | −0.677729 | ||||||||
\(400\) | −519214. | + | 608619.i | −0.162254 | + | 0.190193i | ||||
\(401\) | 1.59464e6 | 0.495223 | 0.247612 | − | 0.968859i | \(-0.420354\pi\) | ||||
0.247612 | + | 0.968859i | \(0.420354\pi\) | |||||||
\(402\) | 1.44958e6 | − | 1.05318e6i | 0.447380 | − | 0.325040i | ||||
\(403\) | −169753. | + | 522446.i | −0.0520661 | + | 0.160243i | ||||
\(404\) | 3803.12 | − | 11704.8i | 0.00115928 | − | 0.00356789i | ||||
\(405\) | 320057. | + | 179122.i | 0.0969594 | + | 0.0542638i | ||||
\(406\) | −708615. | − | 2.18089e6i | −0.213351 | − | 0.656628i | ||||
\(407\) | 86748.7 | 0.0259583 | ||||||||
\(408\) | −271956. | − | 836996.i | −0.0808814 | − | 0.248927i | ||||
\(409\) | 4.06504e6 | + | 2.95343e6i | 1.20159 | + | 0.873008i | 0.994440 | − | 0.105301i | \(-0.0335807\pi\) |
0.207151 | + | 0.978309i | \(0.433581\pi\) | |||||||
\(410\) | −946440. | + | 875377.i | −0.278057 | + | 0.257179i | ||||
\(411\) | −1.26524e6 | + | 919250.i | −0.369460 | + | 0.268429i | ||||
\(412\) | −831561. | − | 604164.i | −0.241352 | − | 0.175352i | ||||
\(413\) | 6.76547e6 | + | 4.91540e6i | 1.95174 | + | 1.41803i | ||||
\(414\) | 980911. | − | 712674.i | 0.281273 | − | 0.204357i | ||||
\(415\) | 1.70598e6 | + | 954758.i | 0.486242 | + | 0.272128i | ||||
\(416\) | 51181.0 | + | 37185.2i | 0.0145003 | + | 0.0105351i | ||||
\(417\) | 363186. | + | 1.11777e6i | 0.102280 | + | 0.314785i | ||||
\(418\) | 26628.7 | 0.00745435 | ||||||||
\(419\) | 773689. | + | 2.38117e6i | 0.215294 | + | 0.662606i | 0.999133 | + | 0.0416415i | \(0.0132587\pi\) |
−0.783839 | + | 0.620964i | \(0.786741\pi\) | |||||||
\(420\) | −1.74181e6 | + | 206657.i | −0.481812 | + | 0.0571645i | ||||
\(421\) | −1.83302e6 | + | 5.64146e6i | −0.504037 | + | 1.55127i | 0.298348 | + | 0.954457i | \(0.403565\pi\) |
−0.802384 | + | 0.596808i | \(0.796435\pi\) | |||||||
\(422\) | −747360. | + | 2.30014e6i | −0.204291 | + | 0.628743i | ||||
\(423\) | 1.22504e6 | − | 890043.i | 0.332889 | − | 0.241858i | ||||
\(424\) | −1.64625e6 | −0.444713 | ||||||||
\(425\) | 4.64213e6 | − | 1.11726e6i | 1.24665 | − | 0.300041i | ||||
\(426\) | −570124. | −0.152211 | ||||||||
\(427\) | −8.85350e6 | + | 6.43245e6i | −2.34988 | + | 1.70729i | ||||
\(428\) | −660763. | + | 2.03362e6i | −0.174356 | + | 0.536612i | ||||
\(429\) | −1040.81 | + | 3203.27i | −0.000273040 | + | 0.000840331i | ||||
\(430\) | −236070. | + | 1.18856e6i | −0.0615701 | + | 0.309992i | ||||
\(431\) | 1.64998e6 | + | 5.07813e6i | 0.427845 | + | 1.31677i | 0.900243 | + | 0.435387i | \(0.143388\pi\) |
−0.472398 | + | 0.881385i | \(0.656612\pi\) | |||||||
\(432\) | −186624. | −0.0481125 | ||||||||
\(433\) | −455405. | − | 1.40159e6i | −0.116729 | − | 0.359254i | 0.875575 | − | 0.483082i | \(-0.160483\pi\) |
−0.992304 | + | 0.123828i | \(0.960483\pi\) | |||||||
\(434\) | 6.26975e6 | + | 4.55524e6i | 1.59781 | + | 1.16088i | ||||
\(435\) | 1.31447e6 | − | 155956.i | 0.333065 | − | 0.0395164i | ||||
\(436\) | −1.08099e6 | + | 785383.i | −0.272336 | + | 0.197863i | ||||
\(437\) | −3.32722e6 | − | 2.41737e6i | −0.833448 | − | 0.605535i | ||||
\(438\) | −162796. | − | 118278.i | −0.0405470 | − | 0.0294591i | ||||
\(439\) | −4.08915e6 | + | 2.97094e6i | −1.01268 | + | 0.735755i | −0.964769 | − | 0.263097i | \(-0.915256\pi\) |
−0.0479104 | + | 0.998852i | \(0.515256\pi\) | |||||||
\(440\) | 21521.0 | − | 2553.36i | 0.00529945 | − | 0.000628753i | ||||
\(441\) | −2.00991e6 | − | 1.46029e6i | −0.492132 | − | 0.357555i | ||||
\(442\) | −116678. | − | 359097.i | −0.0284075 | − | 0.0874292i | ||||
\(443\) | −1.66444e6 | −0.402958 | −0.201479 | − | 0.979493i | \(-0.564575\pi\) | ||||
−0.201479 | + | 0.979493i | \(0.564575\pi\) | |||||||
\(444\) | 637257. | + | 1.96127e6i | 0.153411 | + | 0.472151i | ||||
\(445\) | 1.36787e6 | − | 6.88695e6i | 0.327450 | − | 1.64864i | ||||
\(446\) | 910393. | − | 2.80190e6i | 0.216717 | − | 0.666985i | ||||
\(447\) | −679091. | + | 2.09003e6i | −0.160753 | + | 0.494747i | ||||
\(448\) | 722048. | − | 524599.i | 0.169970 | − | 0.123490i | ||||
\(449\) | 8.23404e6 | 1.92751 | 0.963756 | − | 0.266785i | \(-0.0859614\pi\) | ||||
0.963756 | + | 0.266785i | \(0.0859614\pi\) | |||||||
\(450\) | 78868.3 | − | 1.00942e6i | 0.0183599 | − | 0.234986i | ||||
\(451\) | 34924.3 | 0.00808513 | ||||||||
\(452\) | 2.00584e6 | − | 1.45733e6i | 0.461796 | − | 0.335515i | ||||
\(453\) | 482886. | − | 1.48617e6i | 0.110560 | − | 0.340270i | ||||
\(454\) | 456114. | − | 1.40377e6i | 0.103856 | − | 0.319637i | ||||
\(455\) | −747291. | + | 88662.2i | −0.169224 | + | 0.0200775i | ||||
\(456\) | 195615. | + | 602041.i | 0.0440545 | + | 0.135586i | ||||
\(457\) | −1.28335e6 | −0.287445 | −0.143722 | − | 0.989618i | \(-0.545907\pi\) | ||||
−0.143722 | + | 0.989618i | \(0.545907\pi\) | |||||||
\(458\) | 341263. | + | 1.05030e6i | 0.0760196 | + | 0.233964i | ||||
\(459\) | 901114. | + | 654697.i | 0.199640 | + | 0.145047i | ||||
\(460\) | −2.92082e6 | − | 1.63465e6i | −0.643591 | − | 0.360189i | ||||
\(461\) | 2.82604e6 | − | 2.05324e6i | 0.619335 | − | 0.449973i | −0.233354 | − | 0.972392i | \(-0.574970\pi\) |
0.852689 | + | 0.522419i | \(0.174970\pi\) | |||||||
\(462\) | 38441.6 | + | 27929.5i | 0.00837909 | + | 0.00608777i | ||||
\(463\) | −141911. | − | 103105.i | −0.0307655 | − | 0.0223525i | 0.572296 | − | 0.820047i | \(-0.306053\pi\) |
−0.603062 | + | 0.797695i | \(0.706053\pi\) | |||||||
\(464\) | −544901. | + | 395893.i | −0.117496 | + | 0.0853657i | ||||
\(465\) | −3.28416e6 | + | 3.03757e6i | −0.704356 | + | 0.651470i | ||||
\(466\) | 2.04812e6 | + | 1.48805e6i | 0.436909 | + | 0.317433i | ||||
\(467\) | 2.24608e6 | + | 6.91271e6i | 0.476576 | + | 1.46675i | 0.843820 | + | 0.536626i | \(0.180301\pi\) |
−0.367244 | + | 0.930125i | \(0.619699\pi\) | |||||||
\(468\) | −80067.5 | −0.0168983 | ||||||||
\(469\) | −3.35129e6 | − | 1.03142e7i | −0.703526 | − | 2.16523i | ||||
\(470\) | −3.64775e6 | − | 2.04148e6i | −0.761693 | − | 0.426285i | ||||
\(471\) | −739495. | + | 2.27593e6i | −0.153597 | + | 0.472723i | ||||
\(472\) | 759022. | − | 2.33603e6i | 0.156819 | − | 0.482640i | ||||
\(473\) | 26557.6 | − | 19295.3i | 0.00545804 | − | 0.00396550i | ||||
\(474\) | 1.93042e6 | 0.394644 | ||||||||
\(475\) | −3.33903e6 | + | 803629.i | −0.679025 | + | 0.163426i | ||||
\(476\) | −5.32676e6 | −1.07757 | ||||||||
\(477\) | 1.68561e6 | − | 1.22467e6i | 0.339205 | − | 0.246446i | ||||
\(478\) | 433816. | − | 1.33515e6i | 0.0868431 | − | 0.267276i | ||||
\(479\) | 1.50845e6 | − | 4.64252e6i | 0.300394 | − | 0.924518i | −0.680962 | − | 0.732319i | \(-0.738438\pi\) |
0.981356 | − | 0.192199i | \(-0.0615619\pi\) | |||||||
\(480\) | 215822. | + | 467805.i | 0.0427555 | + | 0.0926749i | ||||
\(481\) | 273403. | + | 841448.i | 0.0538816 | + | 0.165831i | ||||
\(482\) | −3.12572e6 | −0.612820 | ||||||||
\(483\) | −2.26778e6 | − | 6.97950e6i | −0.442316 | − | 1.36131i | ||||
\(484\) | 2.08421e6 | + | 1.51427e6i | 0.404416 | + | 0.293826i | ||||
\(485\) | −2.28965e6 | − | 4.96294e6i | −0.441992 | − | 0.958042i | ||||
\(486\) | 191087. | − | 138833.i | 0.0366978 | − | 0.0266625i | ||||
\(487\) | 6.57300e6 | + | 4.77556e6i | 1.25586 | + | 0.912435i | 0.998547 | − | 0.0538930i | \(-0.0171630\pi\) |
0.257313 | + | 0.966328i | \(0.417163\pi\) | |||||||
\(488\) | 2.60044e6 | + | 1.88933e6i | 0.494307 | + | 0.359135i | ||||
\(489\) | −2.04064e6 | + | 1.48261e6i | −0.385918 | + | 0.280386i | ||||
\(490\) | −1.33609e6 | + | 6.72695e6i | −0.251389 | + | 1.26569i | ||||
\(491\) | −6.24817e6 | − | 4.53956e6i | −1.16963 | − | 0.849787i | −0.178667 | − | 0.983910i | \(-0.557178\pi\) |
−0.990965 | + | 0.134123i | \(0.957178\pi\) | |||||||
\(492\) | 256555. | + | 789594.i | 0.0477823 | + | 0.147059i | ||||
\(493\) | 4.01989e6 | 0.744898 | ||||||||
\(494\) | 83925.0 | + | 258295.i | 0.0154730 | + | 0.0476209i | ||||
\(495\) | −20136.1 | + | 18624.2i | −0.00369371 | + | 0.00341637i | ||||
\(496\) | 703406. | − | 2.16486e6i | 0.128381 | − | 0.395117i | ||||
\(497\) | −1.06634e6 | + | 3.28187e6i | −0.193645 | + | 0.595978i | ||||
\(498\) | 1.01853e6 | − | 740008.i | 0.184036 | − | 0.133710i | ||||
\(499\) | 7.25633e6 | 1.30456 | 0.652282 | − | 0.757976i | \(-0.273812\pi\) | ||||
0.652282 | + | 0.757976i | \(0.273812\pi\) | |||||||
\(500\) | −2.62150e6 | + | 969653.i | −0.468949 | + | 0.173457i | ||||
\(501\) | 3.54493e6 | 0.630977 | ||||||||
\(502\) | −989511. | + | 718922.i | −0.175251 | + | 0.127328i | ||||
\(503\) | 1.32247e6 | − | 4.07016e6i | 0.233060 | − | 0.717284i | −0.764313 | − | 0.644845i | \(-0.776922\pi\) |
0.997373 | − | 0.0724386i | \(-0.0230781\pi\) | |||||||
\(504\) | −349057. | + | 1.07429e6i | −0.0612096 | + | 0.188384i | ||||
\(505\) | 31567.2 | − | 29197.0i | 0.00550818 | − | 0.00509460i | ||||
\(506\) | 28019.6 | + | 86235.6i | 0.00486504 | + | 0.0149730i | ||||
\(507\) | 3.30729e6 | 0.571415 | ||||||||
\(508\) | −1.60477e6 | − | 4.93898e6i | −0.275902 | − | 0.849138i | ||||
\(509\) | −1.94035e6 | − | 1.40975e6i | −0.331960 | − | 0.241183i | 0.409302 | − | 0.912399i | \(-0.365772\pi\) |
−0.741262 | + | 0.671216i | \(0.765772\pi\) | |||||||
\(510\) | 599017. | − | 3.01592e6i | 0.101980 | − | 0.513446i | ||||
\(511\) | −985348. | + | 715897.i | −0.166931 | + | 0.121283i | ||||
\(512\) | −212079. | − | 154084.i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | −648161. | − | 470916.i | −0.108740 | − | 0.0790042i | ||||
\(514\) | −5.54588e6 | + | 4.02932e6i | −0.925897 | + | 0.672704i | ||||
\(515\) | −1.50442e6 | − | 3.26091e6i | −0.249949 | − | 0.541777i | ||||
\(516\) | 631333. | + | 458691.i | 0.104384 | + | 0.0758395i | ||||
\(517\) | 34993.1 | + | 107698.i | 0.00575780 | + | 0.0177207i | ||||
\(518\) | 1.24818e7 | 2.04387 | ||||||||
\(519\) | −295431. | − | 909244.i | −0.0481436 | − | 0.148171i | ||||
\(520\) | 92594.3 | + | 200703.i | 0.0150167 | + | 0.0325496i | ||||
\(521\) | 396797. | − | 1.22122e6i | 0.0640434 | − | 0.197105i | −0.913915 | − | 0.405906i | \(-0.866956\pi\) |
0.977958 | + | 0.208801i | \(0.0669560\pi\) | |||||||
\(522\) | 263419. | − | 810720.i | 0.0423127 | − | 0.130225i | ||||
\(523\) | 7.28482e6 | − | 5.29273e6i | 1.16457 | − | 0.846108i | 0.174219 | − | 0.984707i | \(-0.444260\pi\) |
0.990349 | + | 0.138599i | \(0.0442600\pi\) | |||||||
\(524\) | 1.91140e6 | 0.304105 | ||||||||
\(525\) | −5.66315e6 | − | 2.34200e6i | −0.896726 | − | 0.370841i | ||||
\(526\) | 1.30981e6 | 0.206416 | ||||||||
\(527\) | −1.09910e7 | + | 7.98541e6i | −1.72389 | + | 1.25248i | ||||
\(528\) | 4312.79 | − | 13273.4i | 0.000673245 | − | 0.00207204i | ||||
\(529\) | 2.33855e6 | − | 7.19733e6i | 0.363336 | − | 1.11823i | ||||
\(530\) | −5.01917e6 | − | 2.80901e6i | −0.776144 | − | 0.434373i | ||||
\(531\) | 960637. | + | 2.95654e6i | 0.147851 | + | 0.455037i | ||||
\(532\) | 3.83147e6 | 0.586931 | ||||||||
\(533\) | 110070. | + | 338761.i | 0.0167823 | + | 0.0516505i | ||||
\(534\) | −3.65817e6 | − | 2.65781e6i | −0.555150 | − | 0.403340i | ||||
\(535\) | −5.48456e6 | + | 5.07275e6i | −0.828432 | + | 0.766230i | ||||
\(536\) | −2.57703e6 | + | 1.87232e6i | −0.387442 | + | 0.281493i | ||||
\(537\) | −1.20319e6 | − | 874169.i | −0.180052 | − | 0.130816i | ||||
\(538\) | 2.59504e6 | + | 1.88540e6i | 0.386534 | + | 0.280833i | ||||
\(539\) | 150309. | − | 109206.i | 0.0222851 | − | 0.0161910i | ||||
\(540\) | −568990. | − | 318438.i | −0.0839693 | − | 0.0469938i | ||||
\(541\) | 5.67831e6 | + | 4.12553e6i | 0.834115 | + | 0.606020i | 0.920720 | − | 0.390223i | \(-0.127602\pi\) |
−0.0866058 | + | 0.996243i | \(0.527602\pi\) | |||||||
\(542\) | 108519. | + | 333988.i | 0.0158675 | + | 0.0488351i | ||||
\(543\) | −7.12069e6 | −1.03639 | ||||||||
\(544\) | 483478. | + | 1.48799e6i | 0.0700454 | + | 0.215578i | ||||
\(545\) | −4.63589e6 | + | 550024.i | −0.668562 | + | 0.0793214i | ||||
\(546\) | −149756. | + | 460902.i | −0.0214983 | + | 0.0661648i | ||||
\(547\) | 1.53867e6 | − | 4.73554e6i | 0.219876 | − | 0.676707i | −0.778896 | − | 0.627153i | \(-0.784220\pi\) |
0.998771 | − | 0.0495541i | \(-0.0157800\pi\) | |||||||
\(548\) | 2.24931e6 | − | 1.63422e6i | 0.319962 | − | 0.232466i | ||||
\(549\) | −4.06812e6 | −0.576054 | ||||||||
\(550\) | 69971.4 | + | 28936.7i | 0.00986310 | + | 0.00407889i | ||||
\(551\) | −2.89146e6 | −0.405731 | ||||||||
\(552\) | −1.74384e6 | + | 1.26698e6i | −0.243590 | + | 0.176978i | ||||
\(553\) | 3.61060e6 | − | 1.11123e7i | 0.502073 | − | 1.54522i | ||||
\(554\) | 616655. | − | 1.89787e6i | 0.0853626 | − | 0.262719i | ||||
\(555\) | −1.40364e6 | + | 7.06701e6i | −0.193429 | + | 0.973875i | ||||
\(556\) | −645665. | − | 1.98715e6i | −0.0885768 | − | 0.272611i | ||||
\(557\) | −1.21560e7 | −1.66017 | −0.830087 | − | 0.557633i | \(-0.811710\pi\) | ||||
−0.830087 | + | 0.557633i | \(0.811710\pi\) | |||||||
\(558\) | 890249. | + | 2.73990e6i | 0.121039 | + | 0.372520i | ||||
\(559\) | 270862. | + | 196793.i | 0.0366622 | + | 0.0266366i | ||||
\(560\) | 3.09655e6 | − | 367390.i | 0.417261 | − | 0.0495059i | ||||
\(561\) | −67388.8 | + | 48960.8i | −0.00904025 | + | 0.00656813i | ||||
\(562\) | 3.93342e6 | + | 2.85780e6i | 0.525327 | + | 0.381672i | ||||
\(563\) | −1.15294e7 | − | 8.37661e6i | −1.53298 | − | 1.11377i | −0.954554 | − | 0.298038i | \(-0.903668\pi\) |
−0.578425 | − | 0.815736i | \(-0.696332\pi\) | |||||||
\(564\) | −2.17785e6 | + | 1.58230e6i | −0.288290 | + | 0.209455i | ||||
\(565\) | 8.60218e6 | − | 1.02060e6i | 1.13367 | − | 0.134504i | ||||
\(566\) | −5.78569e6 | − | 4.20355e6i | −0.759127 | − | 0.551538i | ||||
\(567\) | −441775. | − | 1.35964e6i | −0.0577090 | − | 0.177610i | ||||
\(568\) | 1.01355e6 | 0.131818 | ||||||||
\(569\) | 1.29238e6 | + | 3.97753e6i | 0.167344 | + | 0.515031i | 0.999201 | − | 0.0399582i | \(-0.0127225\pi\) |
−0.831858 | + | 0.554989i | \(0.812722\pi\) | |||||||
\(570\) | −430866. | + | 2.16932e6i | −0.0555463 | + | 0.279664i | ||||
\(571\) | 3.74244e6 | − | 1.15180e7i | 0.480358 | − | 1.47839i | −0.358236 | − | 0.933631i | \(-0.616622\pi\) |
0.838594 | − | 0.544758i | \(-0.183378\pi\) | |||||||
\(572\) | 1850.32 | − | 5694.70i | 0.000236460 | − | 0.000727748i | ||||
\(573\) | 4.68868e6 | − | 3.40653e6i | 0.596574 | − | 0.433436i | ||||
\(574\) | 5.02509e6 | 0.636596 | ||||||||
\(575\) | −6.11594e6 | − | 9.96763e6i | −0.771425 | − | 1.25725i | ||||
\(576\) | 331776. | 0.0416667 | ||||||||
\(577\) | −1.10770e7 | + | 8.04790e6i | −1.38510 | + | 1.00634i | −0.388721 | + | 0.921356i | \(0.627083\pi\) |
−0.996383 | + | 0.0849808i | \(0.972917\pi\) | |||||||
\(578\) | 1.13053e6 | − | 3.47941e6i | 0.140754 | − | 0.433197i | ||||
\(579\) | 1.48247e6 | − | 4.56258e6i | 0.183777 | − | 0.565607i | ||||
\(580\) | −2.33684e6 | + | 277254.i | −0.288443 | + | 0.0342222i | ||||
\(581\) | −2.35476e6 | − | 7.24720e6i | −0.289405 | − | 0.890697i | ||||
\(582\) | −3.51981e6 | −0.430736 | ||||||||
\(583\) | 48149.3 | + | 148188.i | 0.00586704 | + | 0.0180569i | ||||
\(584\) | 289415. | + | 210272.i | 0.0351147 | + | 0.0255123i | ||||
\(585\) | −244115. | − | 136620.i | −0.0294920 | − | 0.0165053i | ||||
\(586\) | 7.43320e6 | − | 5.40054e6i | 0.894194 | − | 0.649670i | ||||
\(587\) | −7.38451e6 | − | 5.36516e6i | −0.884558 | − | 0.642669i | 0.0498953 | − | 0.998754i | \(-0.484111\pi\) |
−0.934453 | + | 0.356085i | \(0.884111\pi\) | |||||||
\(588\) | 3.57318e6 | + | 2.59607e6i | 0.426198 | + | 0.309651i | ||||
\(589\) | 7.90568e6 | − | 5.74381e6i | 0.938968 | − | 0.682200i | ||||
\(590\) | 6.30014e6 | − | 5.82710e6i | 0.745110 | − | 0.689163i | ||||
\(591\) | 1.39733e6 | + | 1.01522e6i | 0.164562 | + | 0.119561i | ||||
\(592\) | −1.13290e6 | − | 3.48671e6i | −0.132858 | − | 0.408895i | ||||
\(593\) | −1.08242e7 | −1.26404 | −0.632019 | − | 0.774953i | \(-0.717773\pi\) | ||||
−0.632019 | + | 0.774953i | \(0.717773\pi\) | |||||||
\(594\) | 5458.37 | + | 16799.1i | 0.000634742 | + | 0.00195353i | ||||
\(595\) | −1.62405e7 | − | 9.08910e6i | −1.88065 | − | 1.05251i | ||||
\(596\) | 1.20727e6 | − | 3.71560e6i | 0.139216 | − | 0.428464i | ||||
\(597\) | −149334. | + | 459603.i | −0.0171484 | + | 0.0527773i | ||||
\(598\) | −748163. | + | 543572.i | −0.0855546 | + | 0.0621590i | ||||
\(599\) | 1.28625e7 | 1.46473 | 0.732367 | − | 0.680910i | \(-0.238415\pi\) | ||||
0.732367 | + | 0.680910i | \(0.238415\pi\) | |||||||
\(600\) | −140210. | + | 1.79453e6i | −0.0159002 | + | 0.203504i | ||||
\(601\) | 5.46297e6 | 0.616940 | 0.308470 | − | 0.951234i | \(-0.400183\pi\) | ||||
0.308470 | + | 0.951234i | \(0.400183\pi\) | |||||||
\(602\) | 3.82124e6 | − | 2.77630e6i | 0.429748 | − | 0.312230i | ||||
\(603\) | 1.24580e6 | − | 3.83418e6i | 0.139526 | − | 0.429417i | ||||
\(604\) | −858465. | + | 2.64208e6i | −0.0957481 | + | 0.294682i | ||||
\(605\) | 3.77066e6 | + | 8.17311e6i | 0.418821 | + | 0.907818i | ||||
\(606\) | −8557.03 | − | 26335.8i | −0.000946546 | − | 0.00291317i | ||||
\(607\) | 1.04243e7 | 1.14835 | 0.574175 | − | 0.818732i | \(-0.305323\pi\) | ||||
0.574175 | + | 0.818732i | \(0.305323\pi\) | |||||||
\(608\) | −347760. | − | 1.07030e6i | −0.0381523 | − | 0.117421i | ||||
\(609\) | −4.17415e6 | − | 3.03270e6i | −0.456063 | − | 0.331349i | ||||
\(610\) | 4.70459e6 | + | 1.01974e7i | 0.511914 | + | 1.10960i | ||||
\(611\) | −934365. | + | 678856.i | −0.101254 | + | 0.0735655i | ||||
\(612\) | −1.60198e6 | − | 1.16391e6i | −0.172893 | − | 0.125614i | ||||
\(613\) | −2.22489e6 | − | 1.61648e6i | −0.239143 | − | 0.173747i | 0.461759 | − | 0.887006i | \(-0.347219\pi\) |
−0.700901 | + | 0.713258i | \(0.747219\pi\) | |||||||
\(614\) | 1.51268e6 | − | 1.09902e6i | 0.161929 | − | 0.117648i | ||||
\(615\) | −565093. | + | 2.84512e6i | −0.0602465 | + | 0.303328i | ||||
\(616\) | −68340.7 | − | 49652.4i | −0.00725650 | − | 0.00527216i | ||||
\(617\) | 5.33695e6 | + | 1.64255e7i | 0.564392 | + | 1.73702i | 0.669752 | + | 0.742585i | \(0.266400\pi\) |
−0.105360 | + | 0.994434i | \(0.533600\pi\) | |||||||
\(618\) | −2.31270e6 | −0.243583 | ||||||||
\(619\) | 5.00451e6 | + | 1.54023e7i | 0.524970 | + | 1.61569i | 0.764375 | + | 0.644772i | \(0.223048\pi\) |
−0.239405 | + | 0.970920i | \(0.576952\pi\) | |||||||
\(620\) | 5.83851e6 | − | 5.40013e6i | 0.609990 | − | 0.564190i | ||||
\(621\) | 843018. | − | 2.59454e6i | 0.0877219 | − | 0.269980i | ||||
\(622\) | 2.44012e6 | − | 7.50992e6i | 0.252892 | − | 0.778322i | ||||
\(623\) | −2.21416e7 | + | 1.60868e7i | −2.28554 | + | 1.66054i | ||||
\(624\) | 142342. | 0.0146343 | ||||||||
\(625\) | −9.64712e6 | − | 1.51676e6i | −0.987865 | − | 0.155316i | ||||
\(626\) | 2.36272e6 | 0.240978 | ||||||||
\(627\) | 48472.0 | − | 35217.0i | 0.00492404 | − | 0.00357753i | ||||
\(628\) | 1.31466e6 | − | 4.04610e6i | 0.133019 | − | 0.409390i | ||||
\(629\) | −6.76155e6 | + | 2.08099e7i | −0.681428 | + | 2.09722i | ||||
\(630\) | −2.89729e6 | + | 2.67975e6i | −0.290831 | + | 0.268994i | ||||
\(631\) | 565577. | + | 1.74067e6i | 0.0565481 | + | 0.174037i | 0.975341 | − | 0.220702i | \(-0.0708349\pi\) |
−0.918793 | + | 0.394739i | \(0.870835\pi\) | |||||||
\(632\) | −3.43185e6 | −0.341772 | ||||||||
\(633\) | 1.68156e6 | + | 5.17531e6i | 0.166803 | + | 0.513366i | ||||
\(634\) | −4.58519e6 | − | 3.33133e6i | −0.453037 | − | 0.329151i | ||||
\(635\) | 3.53471e6 | − | 1.77965e7i | 0.347872 | − | 1.75146i | ||||
\(636\) | −2.99664e6 | + | 2.17719e6i | −0.293760 | + | 0.213429i | ||||
\(637\) | 1.53301e6 | + | 1.11379e6i | 0.149691 | + | 0.108757i | ||||
\(638\) | 51574.0 | + | 37470.7i | 0.00501625 | + | 0.00364452i | ||||
\(639\) | −1.03779e6 | + | 753998.i | −0.100544 | + | 0.0730496i | ||||
\(640\) | −383683. | − | 831654.i | −0.0370274 | − | 0.0802588i | ||||
\(641\) | 3.77995e6 | + | 2.74630e6i | 0.363364 | + | 0.263999i | 0.754454 | − | 0.656353i | \(-0.227902\pi\) |
−0.391090 | + | 0.920352i | \(0.627902\pi\) | |||||||
\(642\) | 1.48672e6 | + | 4.57564e6i | 0.142361 | + | 0.438142i | ||||
\(643\) | −1.20457e7 | −1.14896 | −0.574482 | − | 0.818517i | \(-0.694796\pi\) | ||||
−0.574482 | + | 0.818517i | \(0.694796\pi\) | |||||||
\(644\) | 4.03160e6 | + | 1.24080e7i | 0.383057 | + | 1.17893i | ||||
\(645\) | 1.14218e6 | + | 2.47573e6i | 0.108102 | + | 0.234317i | ||||
\(646\) | −2.07556e6 | + | 6.38790e6i | −0.195683 | + | 0.602250i | ||||
\(647\) | −1.91240e6 | + | 5.88575e6i | −0.179604 | + | 0.552765i | −0.999814 | − | 0.0192979i | \(-0.993857\pi\) |
0.820209 | + | 0.572063i | \(0.193857\pi\) | |||||||
\(648\) | −339709. | + | 246813.i | −0.0317812 | + | 0.0230904i | ||||
\(649\) | −232480. | −0.0216657 | ||||||||
\(650\) | −60154.6 | + | 769910.i | −0.00558452 | + | 0.0714754i | ||||
\(651\) | 1.74371e7 | 1.61258 | ||||||||
\(652\) | 3.62781e6 | − | 2.63576e6i | 0.334214 | − | 0.242821i | ||||
\(653\) | −1.02843e6 | + | 3.16518e6i | −0.0943825 | + | 0.290479i | −0.987092 | − | 0.160153i | \(-0.948801\pi\) |
0.892710 | + | 0.450632i | \(0.148801\pi\) | |||||||
\(654\) | −929026. | + | 2.85925e6i | −0.0849344 | + | 0.261401i | ||||
\(655\) | 5.82759e6 | + | 3.26144e6i | 0.530745 | + | 0.297034i | ||||
\(656\) | −456097. | − | 1.40372e6i | −0.0413807 | − | 0.127357i | ||||
\(657\) | −452760. | −0.0409218 | ||||||||
\(658\) | 5.03498e6 | + | 1.54961e7i | 0.453350 | + | 1.39527i | ||||
\(659\) | 1.30594e7 | + | 9.48820e6i | 1.17141 | + | 0.851080i | 0.991177 | − | 0.132544i | \(-0.0423147\pi\) |
0.180233 | + | 0.983624i | \(0.442315\pi\) | |||||||
\(660\) | 35797.6 | − | 33109.8i | 0.00319885 | − | 0.00295867i | ||||
\(661\) | 1.18285e7 | − | 8.59391e6i | 1.05299 | − | 0.765045i | 0.0802148 | − | 0.996778i | \(-0.474439\pi\) |
0.972780 | + | 0.231732i | \(0.0744394\pi\) | |||||||
\(662\) | −3.05728e6 | − | 2.22124e6i | −0.271138 | − | 0.196993i | ||||
\(663\) | −687300. | − | 499352.i | −0.0607243 | − | 0.0441188i | ||||
\(664\) | −1.81073e6 | + | 1.31557e6i | −0.159380 | + | 0.115796i | ||||
\(665\) | 1.16816e7 | + | 6.53768e6i | 1.02435 | + | 0.573284i | ||||
\(666\) | 3.75381e6 | + | 2.72730e6i | 0.327934 | + | 0.238258i | ||||
\(667\) | −3.04249e6 | − | 9.36382e6i | −0.264798 | − | 0.814964i | ||||
\(668\) | −6.30210e6 | −0.546442 | ||||||||
\(669\) | −2.04839e6 | − | 6.30428e6i | −0.176948 | − | 0.544591i | ||||
\(670\) | −1.10517e7 | + | 1.31123e6i | −0.951138 | + | 0.112848i | ||||
\(671\) | 94012.3 | − | 289340.i | 0.00806080 | − | 0.0248086i | ||||
\(672\) | 620545. | − | 1.90984e6i | 0.0530091 | − | 0.163145i | ||||
\(673\) | −3.88307e6 | + | 2.82121e6i | −0.330474 | + | 0.240103i | −0.740632 | − | 0.671911i | \(-0.765474\pi\) |
0.410158 | + | 0.912015i | \(0.365474\pi\) | |||||||
\(674\) | −1.01095e6 | −0.0857199 | ||||||||
\(675\) | −1.19142e6 | − | 1.94175e6i | −0.100648 | − | 0.164034i | ||||
\(676\) | −5.87962e6 | −0.494860 | ||||||||
\(677\) | −3.18655e6 | + | 2.31517e6i | −0.267208 | + | 0.194138i | −0.713319 | − | 0.700840i | \(-0.752809\pi\) |
0.446111 | + | 0.894978i | \(0.352809\pi\) | |||||||
\(678\) | 1.72387e6 | − | 5.30552e6i | 0.144022 | − | 0.443255i | ||||
\(679\) | −6.58335e6 | + | 2.02615e7i | −0.547990 | + | 1.68654i | ||||
\(680\) | −1.06492e6 | + | 5.36164e6i | −0.0883170 | + | 0.444657i | ||||
\(681\) | −1.02626e6 | − | 3.15849e6i | −0.0847984 | − | 0.260983i | ||||
\(682\) | −215445. | −0.0177368 | ||||||||
\(683\) | −4.27177e6 | − | 1.31472e7i | −0.350394 | − | 1.07840i | −0.958632 | − | 0.284647i | \(-0.908124\pi\) |
0.608238 | − | 0.793754i | \(-0.291876\pi\) | |||||||
\(684\) | 1.15229e6 | + | 837185.i | 0.0941716 | + | 0.0684197i | ||||
\(685\) | 9.64633e6 | − | 1.14449e6i | 0.785481 | − | 0.0931933i | ||||
\(686\) | 9.77621e6 | − | 7.10283e6i | 0.793159 | − | 0.576264i | ||||
\(687\) | 2.01024e6 | + | 1.46052e6i | 0.162501 | + | 0.118064i | ||||
\(688\) | −1.12237e6 | − | 815450.i | −0.0903993 | − | 0.0656789i | ||||
\(689\) | −1.28565e6 | + | 934082.i | −0.103175 | + | 0.0749613i | ||||
\(690\) | −7.47858e6 | + | 887295.i | −0.597993 | + | 0.0709489i | ||||
\(691\) | 1.74292e7 | + | 1.26631e7i | 1.38862 | + | 1.00889i | 0.996015 | + | 0.0891806i | \(0.0284248\pi\) |
0.392602 | + | 0.919709i | \(0.371575\pi\) | |||||||
\(692\) | 525211. | + | 1.61643e6i | 0.0416935 | + | 0.128320i | ||||
\(693\) | 106912. | 0.00845656 | ||||||||
\(694\) | −1.02578e6 | − | 3.15703e6i | −0.0808454 | − | 0.248817i | ||||
\(695\) | 1.42216e6 | − | 7.16025e6i | 0.111682 | − | 0.562298i | ||||
\(696\) | −468300. | + | 1.44128e6i | −0.0366439 | + | 0.112778i | ||||
\(697\) | −2.72215e6 | + | 8.37791e6i | −0.212241 | + | 0.653211i | ||||
\(698\) | 1.40746e6 | − | 1.02258e6i | 0.109344 | − | 0.0794433i | ||||
\(699\) | 5.69614e6 | 0.440948 | ||||||||
\(700\) | 1.00678e7 | + | 4.16355e6i | 0.776588 | + | 0.321158i | ||||
\(701\) | −1.65465e7 | −1.27177 | −0.635887 | − | 0.771782i | \(-0.719366\pi\) | ||||
−0.635887 | + | 0.771782i | \(0.719366\pi\) | |||||||
\(702\) | −145746. | + | 105891.i | −0.0111623 | + | 0.00810989i | ||||
\(703\) | 4.86351e6 | − | 1.49683e7i | 0.371160 | − | 1.14231i | ||||
\(704\) | −7667.18 | + | 23597.1i | −0.000583047 | + | 0.00179444i | ||||
\(705\) | −9.33984e6 | + | 1.10812e6i | −0.707728 | + | 0.0839683i | ||||
\(706\) | −802094. | − | 2.46859e6i | −0.0605639 | − | 0.186396i | ||||
\(707\) | −167605. | −0.0126107 | ||||||||
\(708\) | −1.70780e6 | − | 5.25607e6i | −0.128042 | − | 0.394074i | ||||
\(709\) | −2.05762e7 | − | 1.49495e7i | −1.53727 | − | 1.11689i | −0.952021 | − | 0.306031i | \(-0.900999\pi\) |
−0.585244 | − | 0.810857i | \(-0.699001\pi\) | |||||||
\(710\) | 3.09018e6 | + | 1.72943e6i | 0.230058 | + | 0.128753i | ||||
\(711\) | 3.51392e6 | − | 2.55301e6i | 0.260686 | − | 0.189399i | ||||
\(712\) | 6.50341e6 | + | 4.72500e6i | 0.480774 | + | 0.349303i | ||||
\(713\) | 2.69196e7 | + | 1.95582e7i | 1.98310 | + | 1.44081i | ||||
\(714\) | −9.69623e6 | + | 7.04473e6i | −0.711799 | + | 0.517152i | ||||
\(715\) | 15358.3 | − | 14205.1i | 0.00112351 | − | 0.00103915i | ||||
\(716\) | 2.13900e6 | + | 1.55408e6i | 0.155930 | + | 0.113290i | ||||
\(717\) | −976085. | − | 3.00408e6i | −0.0709071 | − | 0.218230i | ||||
\(718\) | −3.33340e6 | −0.241310 | ||||||||
\(719\) | −7.09200e6 | − | 2.18269e7i | −0.511619 | − | 1.57460i | −0.789351 | − | 0.613942i | \(-0.789583\pi\) |
0.277732 | − | 0.960659i | \(-0.410417\pi\) | |||||||
\(720\) | 1.01154e6 | + | 566112.i | 0.0727195 | + | 0.0406979i | ||||
\(721\) | −4.32561e6 | + | 1.33129e7i | −0.309891 | + | 0.953746i | ||||
\(722\) | −1.56770e6 | + | 4.82490e6i | −0.111923 | + | 0.344465i | ||||
\(723\) | −5.68972e6 | + | 4.13382e6i | −0.404804 | + | 0.294108i | ||||
\(724\) | 1.26590e7 | 0.897538 | ||||||||
\(725\) | −7.59778e6 | − | 3.14207e6i | −0.536836 | − | 0.222009i | ||||
\(726\) | 5.79652e6 | 0.408155 | ||||||||
\(727\) | 1.99614e7 | − | 1.45028e7i | 1.40073 | − | 1.01769i | 0.406141 | − | 0.913810i | \(-0.366874\pi\) |
0.994590 | − | 0.103880i | \(-0.0331258\pi\) | |||||||
\(728\) | 266233. | − | 819382.i | 0.0186180 | − | 0.0573004i | ||||
\(729\) | 164224. | − | 505430.i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 523596. | + | 1.13492e6i | 0.0363655 | + | 0.0788241i | ||||
\(731\) | 2.55868e6 | + | 7.87480e6i | 0.177101 | + | 0.545062i | ||||
\(732\) | 7.23222e6 | 0.498877 | ||||||||
\(733\) | −8.15670e6 | − | 2.51037e7i | −0.560731 | − | 1.72575i | −0.680307 | − | 0.732927i | \(-0.738153\pi\) |
0.119576 | − | 0.992825i | \(-0.461847\pi\) | |||||||
\(734\) | 369287. | + | 268303.i | 0.0253002 | + | 0.0183817i | ||||
\(735\) | 6.46443e6 | + | 1.40120e7i | 0.441379 | + | 0.956713i | ||||
\(736\) | 3.10016e6 | − | 2.25240e6i | 0.210955 | − | 0.153268i | ||||
\(737\) | 243911. | + | 177212.i | 0.0165411 | + | 0.0120178i | ||||
\(738\) | 1.51125e6 | + | 1.09799e6i | 0.102140 | + | 0.0742092i | ||||
\(739\) | −1.37980e7 | + | 1.00248e7i | −0.929402 | + | 0.675250i | −0.945846 | − | 0.324615i | \(-0.894765\pi\) |
0.0164445 | + | 0.999865i | \(0.494765\pi\) | |||||||
\(740\) | 2.49535e6 | − | 1.25636e7i | 0.167515 | − | 0.843400i | ||||
\(741\) | 494367. | + | 359178.i | 0.0330753 | + | 0.0240306i | ||||
\(742\) | 6.92797e6 | + | 2.13221e7i | 0.461951 | + | 1.42174i | ||||
\(743\) | 1.55561e6 | 0.103378 | 0.0516889 | − | 0.998663i | \(-0.483540\pi\) | ||||
0.0516889 | + | 0.998663i | \(0.483540\pi\) | |||||||
\(744\) | −1.58266e6 | − | 4.87094e6i | −0.104823 | − | 0.322612i | ||||
\(745\) | 1.00208e7 | − | 9.26837e6i | 0.661471 | − | 0.611805i | ||||
\(746\) | 1.19839e6 | − | 3.68826e6i | 0.0788407 | − | 0.242647i | ||||
\(747\) | 875352. | − | 2.69406e6i | 0.0573960 | − | 0.176647i | ||||
\(748\) | 119802. | − | 87041.5i | 0.00782909 | − | 0.00568817i | ||||
\(749\) | 2.91200e7 | 1.89665 | ||||||||
\(750\) | −3.48951e6 | + | 5.23203e6i | −0.226522 | + | 0.339639i | ||||
\(751\) | 1.32017e7 | 0.854140 | 0.427070 | − | 0.904219i | \(-0.359546\pi\) | ||||
0.427070 | + | 0.904219i | \(0.359546\pi\) | |||||||
\(752\) | 3.87173e6 | − | 2.81298e6i | 0.249666 | − | 0.181393i | ||||
\(753\) | −850409. | + | 2.61729e6i | −0.0546563 | + | 0.168215i | ||||
\(754\) | −200916. | + | 618354.i | −0.0128702 | + | 0.0396104i | ||||
\(755\) | −7.12555e6 | + | 6.59053e6i | −0.454937 | + | 0.420778i | ||||
\(756\) | 785377. | + | 2.41714e6i | 0.0499774 | + | 0.153815i | ||||
\(757\) | −1.87072e7 | −1.18651 | −0.593253 | − | 0.805016i | \(-0.702157\pi\) | ||||
−0.593253 | + | 0.805016i | \(0.702157\pi\) | |||||||
\(758\) | 3.56075e6 | + | 1.09589e7i | 0.225096 | + | 0.692775i | ||||
\(759\) | 165052. | + | 119917.i | 0.0103996 | + | 0.00755574i | ||||
\(760\) | 765984. | − | 3.85657e6i | 0.0481045 | − | 0.242196i | ||||
\(761\) | −1.56061e6 | + | 1.13385e6i | −0.0976861 | + | 0.0709731i | −0.635556 | − | 0.772055i | \(-0.719229\pi\) |
0.537870 | + | 0.843028i | \(0.319229\pi\) | |||||||
\(762\) | −9.45304e6 | − | 6.86803e6i | −0.589772 | − | 0.428494i | ||||
\(763\) | 1.47214e7 | + | 1.06957e7i | 0.915457 | + | 0.665118i | ||||
\(764\) | −8.33543e6 | + | 6.05605e6i | −0.516648 | + | 0.375367i | ||||
\(765\) | −2.89823e6 | − | 6.28206e6i | −0.179052 | − | 0.388104i | ||||
\(766\) | −8.18957e6 | − | 5.95007e6i | −0.504300 | − | 0.366395i | ||||
\(767\) | −732699. | − | 2.25502e6i | −0.0449715 | − | 0.138408i | ||||
\(768\) | −589824. | −0.0360844 | ||||||||
\(769\) | 2.48713e6 | + | 7.65461e6i | 0.151664 | + | 0.466775i | 0.997808 | − | 0.0661807i | \(-0.0210814\pi\) |
−0.846143 | + | 0.532955i | \(0.821081\pi\) | |||||||
\(770\) | −123639. | − | 267994.i | −0.00751498 | − | 0.0162891i | ||||
\(771\) | −4.76626e6 | + | 1.46690e7i | −0.288763 | + | 0.888722i | ||||
\(772\) | −2.63551e6 | + | 8.11126e6i | −0.159155 | + | 0.489830i | ||||
\(773\) | −1.42379e7 | + | 1.03444e7i | −0.857031 | + | 0.622669i | −0.927076 | − | 0.374874i | \(-0.877686\pi\) |
0.0700446 | + | 0.997544i | \(0.477686\pi\) | |||||||
\(774\) | 1.75583e6 | 0.105349 | ||||||||
\(775\) | 2.70151e7 | − | 6.50193e6i | 1.61567 | − | 0.388855i | ||||
\(776\) | 6.25744e6 | 0.373029 | ||||||||
\(777\) | 2.27205e7 | − | 1.65074e7i | 1.35010 | − | 0.980905i | ||||
\(778\) | 4.88329e6 | − | 1.50292e7i | 0.289244 | − | 0.890200i | ||||
\(779\) | 1.95801e6 | − | 6.02613e6i | 0.115604 | − | 0.355791i | ||||
\(780\) | 433982. | + | 242880.i | 0.0255408 | + | 0.0142940i | ||||
\(781\) | −29644.4 | − | 91235.9i | −0.00173906 | − | 0.00535227i | ||||
\(782\) | −2.28708e7 | −1.33741 | ||||||||
\(783\) | −592693. | − | 1.82412e6i | −0.0345482 | − | 0.106328i | ||||
\(784\) | −6.35232e6 | − | 4.61523e6i | −0.369099 | − | 0.268166i | ||||
\(785\) | 1.09121e7 | − | 1.00928e7i | 0.632025 | − | 0.584570i | ||||
\(786\) | 3.47930e6 | − | 2.52786e6i | 0.200879 | − | 0.145947i | ||||
\(787\) | 2.08449e7 | + | 1.51447e7i | 1.19967 | + | 0.871614i | 0.994253 | − | 0.107059i | \(-0.0341435\pi\) |
0.205422 | + | 0.978674i | \(0.434143\pi\) | |||||||
\(788\) | −2.48414e6 | − | 1.80483e6i | −0.142515 | − | 0.103543i | ||||
\(789\) | 2.38423e6 | − | 1.73224e6i | 0.136350 | − | 0.0990642i | ||||
\(790\) | −1.04632e7 | − | 5.85580e6i | −0.596483 | − | 0.333825i | ||||
\(791\) | −2.73165e7 | − | 1.98466e7i | −1.55233 | − | 1.12783i | ||||
\(792\) | −9703.77 | − | 29865.1i | −0.000549702 | − | 0.00169181i | ||||
\(793\) | 3.10285e6 | 0.175218 | ||||||||
\(794\) | 2.00103e6 | + | 6.15853e6i | 0.112642 | + | 0.346678i | ||||
\(795\) | −1.28513e7 | + | 1.52474e6i | −0.721156 | + | 0.0855615i | ||||
\(796\) | 265483. | − | 817072.i | 0.0148509 | − | 0.0457065i | ||||
\(797\) | 3.08104e6 | − | 9.48247e6i | 0.171811 | − | 0.528781i | −0.827662 | − | 0.561227i | \(-0.810330\pi\) |
0.999473 | + | 0.0324458i | \(0.0103296\pi\) | |||||||
\(798\) | 6.97439e6 | − | 5.06719e6i | 0.387703 | − | 0.281683i | ||||
\(799\) | −2.85629e7 | −1.58283 | ||||||||
\(800\) | 249263. | − | 3.19028e6i | 0.0137700 | − | 0.176240i | ||||
\(801\) | −1.01739e7 | −0.560283 | ||||||||
\(802\) | −5.16036e6 | + | 3.74922e6i | −0.283298 | + | 0.205828i | ||||
\(803\) | 10463.1 | − | 32202.0i | 0.000572625 | − | 0.00176236i | ||||
\(804\) | −2.21476e6 | + | 6.81632e6i | −0.120833 | + | 0.371886i | ||||
\(805\) | −8.88010e6 | + | 4.47094e7i | −0.482979 | + | 2.43170i | ||||
\(806\) | −679013. | − | 2.08979e6i | −0.0368163 | − | 0.113309i | ||||
\(807\) | 7.21719e6 | 0.390108 | ||||||||
\(808\) | 15212.5 | + | 46819.3i | 0.000819733 | + | 0.00252288i | ||||
\(809\) | 1.64135e6 | + | 1.19251e6i | 0.0881719 | + | 0.0640607i | 0.630998 | − | 0.775785i | \(-0.282646\pi\) |
−0.542826 | + | 0.839845i | \(0.682646\pi\) | |||||||
\(810\) | −1.45687e6 | + | 172850.i | −0.0780202 | + | 0.00925670i | ||||
\(811\) | −1.60365e7 | + | 1.16512e7i | −0.856163 | + | 0.622039i | −0.926838 | − | 0.375461i | \(-0.877484\pi\) |
0.0706756 | + | 0.997499i | \(0.477484\pi\) | |||||||
\(812\) | 7.42072e6 | + | 5.39147e6i | 0.394962 | + | 0.286957i | ||||
\(813\) | 639240. | + | 464435.i | 0.0339186 | + | 0.0246433i | ||||
\(814\) | −280725. | + | 203958.i | −0.0148498 | + | 0.0107890i | ||||
\(815\) | 1.55581e7 | − | 1.84589e6i | 0.820469 | − | 0.0973445i | ||||
\(816\) | 2.84796e6 | + | 2.06917e6i | 0.149730 | + | 0.108785i | ||||
\(817\) | −1.84043e6 | − | 5.66425e6i | −0.0964636 | − | 0.296884i | ||||
\(818\) | −2.00987e7 | −1.05023 | ||||||||
\(819\) | 336951. | + | 1.03703e6i | 0.0175533 | + | 0.0540234i | ||||
\(820\) | 1.00461e6 | − | 5.05799e6i | 0.0521750 | − | 0.262690i | ||||
\(821\) | −4.05024e6 | + | 1.24654e7i | −0.209712 | + | 0.645427i | 0.789775 | + | 0.613397i | \(0.210197\pi\) |
−0.999487 | + | 0.0320303i | \(0.989803\pi\) | |||||||
\(822\) | 1.93311e6 | − | 5.94951e6i | 0.0997879 | − | 0.307115i | ||||
\(823\) | −6.66321e6 | + | 4.84111e6i | −0.342913 | + | 0.249141i | −0.745890 | − | 0.666069i | \(-0.767976\pi\) |
0.402977 | + | 0.915210i | \(0.367976\pi\) | |||||||
\(824\) | 4.11146e6 | 0.210949 | ||||||||
\(825\) | 165637. | − | 39865.2i | 0.00847273 | − | 0.00203920i | ||||
\(826\) | −3.34503e7 | −1.70589 | ||||||||
\(827\) | −9.02043e6 | + | 6.55372e6i | −0.458631 | + | 0.333215i | −0.792994 | − | 0.609230i | \(-0.791479\pi\) |
0.334363 | + | 0.942444i | \(0.391479\pi\) | |||||||
\(828\) | −1.49870e6 | + | 4.61252e6i | −0.0759694 | + | 0.233810i | ||||
\(829\) | 3.37244e6 | − | 1.03793e7i | 0.170435 | − | 0.524544i | −0.828961 | − | 0.559306i | \(-0.811067\pi\) |
0.999396 | + | 0.0347626i | \(0.0110675\pi\) | |||||||
\(830\) | −7.76542e6 | + | 921328.i | −0.391264 | + | 0.0464215i | ||||
\(831\) | −1.38747e6 | − | 4.27020e6i | −0.0696983 | − | 0.214509i | ||||
\(832\) | −253053. | −0.0126737 | ||||||||
\(833\) | 1.44814e7 | + | 4.45693e7i | 0.723102 | + | 2.22548i | ||||
\(834\) | −3.80334e6 | − | 2.76329e6i | −0.189343 | − | 0.137566i | ||||
\(835\) | −1.92142e7 | − | 1.07533e7i | −0.953688 | − | 0.533736i | ||||
\(836\) | −86172.4 | + | 62607.9i | −0.00426435 | + | 0.00309823i | ||||
\(837\) | 5.24408e6 | + | 3.81005e6i | 0.258735 | + | 0.187982i | ||||
\(838\) | −8.10217e6 | − | 5.88657e6i | −0.398558 | − | 0.289569i | ||||
\(839\) | 7.99781e6 | − | 5.81075e6i | 0.392253 | − | 0.284988i | −0.374125 | − | 0.927378i | \(-0.622057\pi\) |
0.766378 | + | 0.642390i | \(0.222057\pi\) | |||||||
\(840\) | 5.15073e6 | − | 4.76399e6i | 0.251867 | − | 0.232956i | ||||
\(841\) | 1.09938e7 | + | 7.98743e6i | 0.535989 | + | 0.389419i | ||||
\(842\) | −7.33208e6 | − | 2.25658e7i | −0.356408 | − | 1.09691i | ||||
\(843\) | 1.09394e7 | 0.530184 | ||||||||
\(844\) | −2.98944e6 | − | 9.20055e6i | −0.144455 | − | 0.444588i | ||||
\(845\) | −1.79261e7 | − | 1.00324e7i | −0.863664 | − | 0.483354i | ||||
\(846\) | −1.87169e6 | + | 5.76048e6i | −0.0899101 | + | 0.276715i | ||||
\(847\) | 1.08416e7 | − | 3.33672e7i | 0.519262 | − | 1.59813i | ||||
\(848\) | 5.32737e6 | − | 3.87056e6i | 0.254403 | − | 0.184835i | ||||
\(849\) | −1.60909e7 | −0.766145 | ||||||||
\(850\) | −1.23954e7 | + | 1.45298e7i | −0.588455 | + | 0.689783i | ||||
\(851\) | 5.35916e7 | 2.53672 | ||||||||
\(852\) | 1.84496e6 | − | 1.34044e6i | 0.0870738 | − | 0.0632628i | ||||
\(853\) | 3.66719e6 | − | 1.12865e7i | 0.172568 | − | 0.531111i | −0.826946 | − | 0.562282i | \(-0.809924\pi\) |
0.999514 | + | 0.0311711i | \(0.00992369\pi\) | |||||||
\(854\) | 1.35269e7 | − | 4.16317e7i | 0.634680 | − | 1.95335i | ||||
\(855\) | 2.08466e6 | + | 4.51861e6i | 0.0975259 | + | 0.211393i | ||||
\(856\) | −2.64305e6 | − | 8.13448e6i | −0.123288 | − | 0.379442i | ||||
\(857\) | −6.11347e6 | −0.284338 | −0.142169 | − | 0.989842i | \(-0.545408\pi\) | ||||
−0.142169 | + | 0.989842i | \(0.545408\pi\) | |||||||
\(858\) | −4163.22 | − | 12813.1i | −0.000193068 | − | 0.000594204i | ||||
\(859\) | 3.20065e6 | + | 2.32541e6i | 0.147998 | + | 0.107527i | 0.659320 | − | 0.751862i | \(-0.270844\pi\) |
−0.511322 | + | 0.859389i | \(0.670844\pi\) | |||||||
\(860\) | −2.03054e6 | − | 4.40130e6i | −0.0936193 | − | 0.202925i | ||||
\(861\) | 9.14710e6 | − | 6.64576e6i | 0.420509 | − | 0.305518i | ||||
\(862\) | −1.72789e7 | − | 1.25538e7i | −0.792040 | − | 0.575451i | ||||
\(863\) | 1.48744e7 | + | 1.08069e7i | 0.679851 | + | 0.493941i | 0.873308 | − | 0.487168i | \(-0.161970\pi\) |
−0.193457 | + | 0.981109i | \(0.561970\pi\) | |||||||
\(864\) | 603928. | − | 438779.i | 0.0275233 | − | 0.0199969i | ||||
\(865\) | −1.15684e6 | + | 5.82445e6i | −0.0525695 | + | 0.264676i | ||||
\(866\) | 4.76906e6 | + | 3.46493e6i | 0.216092 | + | 0.157000i | ||||
\(867\) | −2.54369e6 | − | 7.82867e6i | −0.114925 | − | 0.353704i | ||||
\(868\) | −3.09993e7 | −1.39654 | ||||||||
\(869\) | 100375. | + | 308922.i | 0.00450894 | + | 0.0138771i | ||||
\(870\) | −3.88705e6 | + | 3.59520e6i | −0.174109 | + | 0.161037i | ||||
\(871\) | −950200. | + | 2.92441e6i | −0.0424394 | + | 0.130615i | ||||
\(872\) | 1.65160e6 | − | 5.08311e6i | 0.0735553 | − | 0.226380i | ||||
\(873\) | −6.40706e6 | + | 4.65500e6i | −0.284527 | + | 0.206721i | ||||
\(874\) | 1.64507e7 | 0.728460 | ||||||||
\(875\) | 2.35911e7 | + | 2.98729e7i | 1.04166 | + | 1.31904i | ||||
\(876\) | 804907. | 0.0354393 | ||||||||
\(877\) | −6.52132e6 | + | 4.73802e6i | −0.286310 | + | 0.208017i | −0.721665 | − | 0.692242i | \(-0.756623\pi\) |
0.435355 | + | 0.900259i | \(0.356623\pi\) | |||||||
\(878\) | 6.24767e6 | − | 1.92284e7i | 0.273515 | − | 0.841794i | ||||
\(879\) | 6.38827e6 | − | 1.96611e7i | 0.278876 | − | 0.858292i | ||||
\(880\) | −63640.2 | + | 58861.8i | −0.00277029 | + | 0.00256228i | ||||
\(881\) | −8.17913e6 | − | 2.51728e7i | −0.355032 | − | 1.09268i | −0.955991 | − | 0.293396i | \(-0.905215\pi\) |
0.600959 | − | 0.799280i | \(-0.294785\pi\) | |||||||
\(882\) | 9.93757e6 | 0.430139 | ||||||||
\(883\) | −7.49720e6 | − | 2.30740e7i | −0.323591 | − | 0.995912i | −0.972072 | − | 0.234681i | \(-0.924595\pi\) |
0.648481 | − | 0.761231i | \(-0.275405\pi\) | |||||||
\(884\) | 1.22187e6 | + | 887738.i | 0.0525888 | + | 0.0382080i | ||||
\(885\) | 3.76164e6 | − | 1.89390e7i | 0.161443 | − | 0.812830i | ||||
\(886\) | 5.38625e6 | − | 3.91334e6i | 0.230517 | − | 0.167480i | ||||
\(887\) | −2.80981e7 | − | 2.04145e7i | −1.19913 | − | 0.871222i | −0.204935 | − | 0.978776i | \(-0.565698\pi\) |
−0.994199 | + | 0.107553i | \(0.965698\pi\) | |||||||
\(888\) | −6.67344e6 | − | 4.84854e6i | −0.283999 | − | 0.206338i | ||||
\(889\) | −5.72160e7 | + | 4.15698e7i | −2.42808 | + | 1.76410i | ||||
\(890\) | 1.17657e7 | + | 2.55027e7i | 0.497899 | + | 1.07922i | ||||
\(891\) | 32153.0 | + | 23360.5i | 0.00135683 | + | 0.000985797i | ||||
\(892\) | 3.64157e6 | + | 1.12076e7i | 0.153242 | + | 0.471629i | ||||
\(893\) | 2.05449e7 | 0.862137 | ||||||||
\(894\) | −2.71636e6 | − | 8.36011e6i | −0.113670 | − | 0.349839i | ||||
\(895\) | 3.86979e6 | + | 8.38797e6i | 0.161484 | + | 0.350025i | ||||
\(896\) | −1.10319e6 | + | 3.39527e6i | −0.0459072 | + | 0.141288i | ||||
\(897\) | −642989. | + | 1.97892e6i | −0.0266822 | + | 0.0821195i | ||||
\(898\) | −2.66459e7 | + | 1.93594e7i | −1.10266 | + | 0.801126i | ||||
\(899\) | 2.33940e7 | 0.965394 | ||||||||
\(900\) | 2.11807e6 | + | 3.45199e6i | 0.0871635 | + | 0.142057i | ||||
\(901\) | −3.93015e7 | −1.61286 | ||||||||
\(902\) | −113018. | + | 82112.0i | −0.00462519 | + | 0.00336040i | ||||
\(903\) | 3.28407e6 | − | 1.01073e7i | 0.134027 | − | 0.412493i | ||||
\(904\) | −3.06465e6 | + | 9.43203e6i | −0.124727 | + | 0.383870i | ||||
\(905\) | 3.85955e7 | + | 2.16002e7i | 1.56645 | + | 0.876669i | ||||
\(906\) | 1.93155e6 | + | 5.94469e6i | 0.0781780 | + | 0.240607i | ||||
\(907\) | 2.85388e7 | 1.15191 | 0.575953 | − | 0.817483i | \(-0.304631\pi\) | ||||
0.575953 | + | 0.817483i | \(0.304631\pi\) | |||||||
\(908\) | 1.82445e6 | + | 5.61509e6i | 0.0734376 | + | 0.226018i | ||||
\(909\) | −50405.8 | − | 36622.0i | −0.00202335 | − | 0.00147005i | ||||
\(910\) | 2.20983e6 | − | 2.04390e6i | 0.0884616 | − | 0.0818195i | ||||
\(911\) | −1.12976e7 | + | 8.20818e6i | −0.451014 | + | 0.327681i | −0.789996 | − | 0.613112i | \(-0.789917\pi\) |
0.338982 | + | 0.940793i | \(0.389917\pi\) | |||||||
\(912\) | −2.04851e6 | − | 1.48833e6i | −0.0815550 | − | 0.0592532i | ||||
\(913\) | 171382. | + | 124517.i | 0.00680439 | + | 0.00494368i | ||||
\(914\) | 4.15301e6 | − | 3.01734e6i | 0.164436 | − | 0.119470i | ||||
\(915\) | 2.20500e7 | + | 1.23404e7i | 0.870675 | + | 0.487278i | ||||
\(916\) | −3.57375e6 | − | 2.59648e6i | −0.140730 | − | 0.102246i | ||||
\(917\) | −8.04382e6 | − | 2.47563e7i | −0.315892 | − | 0.972217i | ||||
\(918\) | −4.45535e6 | −0.174492 | ||||||||
\(919\) | 1.24281e6 | + | 3.82498e6i | 0.0485419 | + | 0.149397i | 0.972389 | − | 0.233364i | \(-0.0749734\pi\) |
−0.923848 | + | 0.382761i | \(0.874973\pi\) | |||||||
\(920\) | 1.32953e7 | − | 1.57741e6i | 0.517877 | − | 0.0614435i | ||||
\(921\) | 1.30003e6 | − | 4.00108e6i | 0.0505015 | − | 0.155428i | ||||
\(922\) | −4.31780e6 | + | 1.32888e7i | −0.167277 | + | 0.514824i | ||||
\(923\) | 791545. | − | 575091.i | 0.0305824 | − | 0.0222194i | ||||
\(924\) | −190066. | −0.00732359 | ||||||||
\(925\) | 2.90453e7 | − | 3.40467e7i | 1.11615 | − | 1.30834i | ||||
\(926\) | 701648. | 0.0268901 | ||||||||
\(927\) | −4.20978e6 | + | 3.05858e6i | −0.160901 | + | 0.116902i | ||||
\(928\) | 832534. | − | 2.56228e6i | 0.0317345 | − | 0.0976688i | ||||
\(929\) | 7.66441e6 | − | 2.35886e7i | 0.291367 | − | 0.896734i | −0.693051 | − | 0.720888i | \(-0.743734\pi\) |
0.984418 | − | 0.175846i | \(-0.0562660\pi\) | |||||||
\(930\) | 3.48601e6 | − | 1.75513e7i | 0.132166 | − | 0.665430i | ||||
\(931\) | −1.04163e7 | − | 3.20582e7i | −0.393859 | − | 1.21217i | ||||
\(932\) | −1.01265e7 | −0.381872 | ||||||||
\(933\) | −5.49027e6 | − | 1.68973e7i | −0.206485 | − | 0.635497i | ||||
\(934\) | −2.35212e7 | − | 1.70892e7i | −0.882252 | − | 0.640994i | ||||
\(935\) | 513780. | − | 60957.4i | 0.0192198 | − | 0.00228033i | ||||
\(936\) | 259104. | − | 188250.i | 0.00966684 | − | 0.00702337i | ||||
\(937\) | −2.01357e7 | − | 1.46295e7i | −0.749235 | − | 0.544351i | 0.146354 | − | 0.989232i | \(-0.453246\pi\) |
−0.895590 | + | 0.444881i | \(0.853246\pi\) | |||||||
\(938\) | 3.50952e7 | + | 2.54981e7i | 1.30239 | + | 0.946240i | ||||
\(939\) | 4.30083e6 | − | 3.12474e6i | 0.159180 | − | 0.115651i | ||||
\(940\) | 1.66042e7 | − | 1.97000e6i | 0.612911 | − | 0.0727187i | ||||
\(941\) | −3.39946e7 | − | 2.46985e7i | −1.25152 | − | 0.909279i | −0.253207 | − | 0.967412i | \(-0.581485\pi\) |
−0.998309 | + | 0.0581328i | \(0.981485\pi\) | |||||||
\(942\) | −2.95798e6 | − | 9.10373e6i | −0.108610 | − | 0.334266i | ||||
\(943\) | 2.15756e7 | 0.790101 | ||||||||
\(944\) | 3.03609e6 | + | 9.34412e6i | 0.110888 | + | 0.341278i | ||||
\(945\) | −1.72989e6 | + | 8.70962e6i | −0.0630142 | + | 0.317263i | ||||
\(946\) | −40576.5 | + | 124882.i | −0.00147417 | + | 0.00453702i | ||||
\(947\) | 1.61911e6 | − | 4.98311e6i | 0.0586680 | − | 0.180562i | −0.917428 | − | 0.397902i | \(-0.869738\pi\) |
0.976096 | + | 0.217341i | \(0.0697383\pi\) | |||||||
\(948\) | −6.24696e6 | + | 4.53868e6i | −0.225761 | + | 0.164025i | ||||
\(949\) | 345330. | 0.0124471 | ||||||||
\(950\) | 8.91587e6 | − | 1.04511e7i | 0.320520 | − | 0.375711i | ||||
\(951\) | −1.27521e7 | −0.457226 | ||||||||
\(952\) | 1.72377e7 | − | 1.25240e7i | 0.616436 | − | 0.447867i | ||||
\(953\) | −1.31954e7 | + | 4.06113e7i | −0.470642 | + | 1.44849i | 0.381105 | + | 0.924532i | \(0.375544\pi\) |
−0.851746 | + | 0.523954i | \(0.824456\pi\) | |||||||
\(954\) | −2.57539e6 | + | 7.92622e6i | −0.0916160 | + | 0.281965i | ||||
\(955\) | −3.57470e7 | + | 4.24120e6i | −1.26833 | + | 0.150481i | ||||
\(956\) | 1.73526e6 | + | 5.34059e6i | 0.0614073 | + | 0.188992i | ||||
\(957\) | 143435. | 0.00506262 | ||||||||
\(958\) | 6.03379e6 | + | 1.85701e7i | 0.212411 | + | 0.653733i | ||||
\(959\) | −3.06322e7 | − | 2.22556e7i | −1.07555 | − | 0.781435i | ||||
\(960\) | −1.79829e6 | − | 1.00642e6i | −0.0629770 | − | 0.0352454i | ||||
\(961\) | −4.08010e7 | + | 2.96437e7i | −1.42516 | + | 1.03544i | ||||
\(962\) | −2.86311e6 | − | 2.08017e6i | −0.0997473 | − | 0.0724706i | ||||
\(963\) | 8.75762e6 | + | 6.36278e6i | 0.304313 | + | 0.221096i | ||||
\(964\) | 1.01151e7 | − | 7.34902e6i | 0.350571 | − | 0.254705i | ||||
\(965\) | −2.18756e7 | + | 2.02331e7i | −0.756209 | + | 0.699430i | ||||
\(966\) | 2.37485e7 | + | 1.72543e7i | 0.818828 | + | 0.594914i | ||||
\(967\) | −3.00282e6 | − | 9.24174e6i | −0.103267 | − | 0.317825i | 0.886052 | − | 0.463585i | \(-0.153437\pi\) |
−0.989320 | + | 0.145760i | \(0.953437\pi\) | |||||||
\(968\) | −1.03049e7 | −0.353473 | ||||||||
\(969\) | 4.67000e6 | + | 1.43728e7i | 0.159774 | + | 0.491735i | ||||
\(970\) | 1.90780e7 | + | 1.06771e7i | 0.651035 | + | 0.364355i | ||||
\(971\) | 1.35947e7 | − | 4.18403e7i | 0.462725 | − | 1.42412i | −0.399096 | − | 0.916909i | \(-0.630676\pi\) |
0.861821 | − | 0.507212i | \(-0.169324\pi\) | |||||||
\(972\) | −291954. | + | 898543.i | −0.00991172 | + | 0.0305052i | ||||
\(973\) | −2.30203e7 | + | 1.67252e7i | −0.779523 | + | 0.566356i | ||||
\(974\) | −3.24987e7 | −1.09766 | ||||||||
\(975\) | 908720. | + | 1.48101e6i | 0.0306139 | + | 0.0498939i | ||||
\(976\) | −1.28573e7 | −0.432040 | ||||||||
\(977\) | −4.58907e7 | + | 3.33415e7i | −1.53811 | + | 1.11750i | −0.586607 | + | 0.809872i | \(0.699537\pi\) |
−0.951505 | + | 0.307632i | \(0.900463\pi\) | |||||||
\(978\) | 3.11782e6 | − | 9.59567e6i | 0.104233 | − | 0.320796i | ||||
\(979\) | 235114. | − | 723607.i | 0.00784011 | − | 0.0241294i | ||||
\(980\) | −1.14923e7 | − | 2.49102e7i | −0.382246 | − | 0.828538i | ||||
\(981\) | 2.09031e6 | + | 6.43331e6i | 0.0693486 | + | 0.213433i | ||||
\(982\) | 3.08926e7 | 1.02230 | ||||||||
\(983\) | 5.73941e6 | + | 1.76641e7i | 0.189445 | + | 0.583052i | 0.999997 | − | 0.00261530i | \(-0.000832476\pi\) |
−0.810551 | + | 0.585667i | \(0.800832\pi\) | |||||||
\(984\) | −2.68667e6 | − | 1.95198e6i | −0.0884560 | − | 0.0642671i | ||||
\(985\) | −4.49419e6 | − | 9.74139e6i | −0.147591 | − | 0.319912i | ||||
\(986\) | −1.30086e7 | + | 9.45133e6i | −0.426127 | + | 0.309600i | ||||
\(987\) | 2.96590e7 | + | 2.15485e7i | 0.969088 | + | 0.704083i | ||||
\(988\) | −878874. | − | 638539.i | −0.0286440 | − | 0.0208111i | ||||
\(989\) | 1.64068e7 | − | 1.19202e7i | 0.533375 | − | 0.387520i | ||||
\(990\) | 21373.7 | − | 107612.i | 0.000693094 | − | 0.00348958i | ||||
\(991\) | −2.17073e7 | − | 1.57713e7i | −0.702138 | − | 0.510133i | 0.178490 | − | 0.983942i | \(-0.442879\pi\) |
−0.880628 | + | 0.473808i | \(0.842879\pi\) | |||||||
\(992\) | 2.81363e6 | + | 8.65945e6i | 0.0907794 | + | 0.279390i | ||||
\(993\) | −8.50277e6 | −0.273645 | ||||||||
\(994\) | −4.26538e6 | − | 1.31275e7i | −0.136928 | − | 0.421420i | ||||
\(995\) | 2.20360e6 | − | 2.03814e6i | 0.0705626 | − | 0.0652645i | ||||
\(996\) | −1.55618e6 | + | 4.78943e6i | −0.0497064 | + | 0.152980i | ||||
\(997\) | 7.67348e6 | − | 2.36166e7i | 0.244486 | − | 0.752452i | −0.751234 | − | 0.660036i | \(-0.770541\pi\) |
0.995720 | − | 0.0924159i | \(-0.0294589\pi\) | |||||||
\(998\) | −2.34820e7 | + | 1.70606e7i | −0.746291 | + | 0.542212i | ||||
\(999\) | 1.04399e7 | 0.330966 |
(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 | 150.6.g.d.61.6 | ✓ | 28 | |
25.16 | even | 5 | inner | 150.6.g.d.91.6 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.6.g.d.61.6 | ✓ | 28 | 1.1 | even | 1 | trivial | |
150.6.g.d.91.6 | yes | 28 | 25.16 | even | 5 | inner |