Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,6,Mod(6,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.6");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.d (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: | \(4.00959549532\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 6.2 | ||
Character | \(\chi\) | \(=\) | 25.6 |
Dual form | 25.6.d.a.21.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.46926 | − | 7.59959i | −0.436507 | − | 1.34343i | −0.891534 | − | 0.452953i | \(-0.850370\pi\) |
0.455027 | − | 0.890478i | \(-0.349630\pi\) | |||||||
\(3\) | −14.2493 | + | 10.3527i | −0.914092 | + | 0.664127i | −0.942046 | − | 0.335482i | \(-0.891101\pi\) |
0.0279544 | + | 0.999609i | \(0.491101\pi\) | |||||||
\(4\) | −25.7680 | + | 18.7216i | −0.805251 | + | 0.585049i | ||||
\(5\) | 27.5974 | + | 48.6147i | 0.493677 | + | 0.869646i | ||||
\(6\) | 113.862 | + | 82.7252i | 1.29122 | + | 0.938123i | ||||
\(7\) | 40.0850 | 0.309198 | 0.154599 | − | 0.987977i | \(-0.450591\pi\) | ||||
0.154599 | + | 0.987977i | \(0.450591\pi\) | |||||||
\(8\) | −0.963073 | − | 0.699714i | −0.00532028 | − | 0.00386541i | ||||
\(9\) | 20.7724 | − | 63.9307i | 0.0854830 | − | 0.263089i | ||||
\(10\) | 301.307 | − | 329.771i | 0.952815 | − | 1.04283i | ||||
\(11\) | 184.215 | + | 566.955i | 0.459032 | + | 1.41275i | 0.866336 | + | 0.499462i | \(0.166469\pi\) |
−0.407304 | + | 0.913293i | \(0.633531\pi\) | |||||||
\(12\) | 173.357 | − | 533.538i | 0.347527 | − | 1.06958i | ||||
\(13\) | −219.959 | + | 676.965i | −0.360980 | + | 1.11098i | 0.591480 | + | 0.806320i | \(0.298544\pi\) |
−0.952460 | + | 0.304664i | \(0.901456\pi\) | |||||||
\(14\) | −98.9803 | − | 304.630i | −0.134967 | − | 0.415387i | ||||
\(15\) | −896.536 | − | 407.017i | −1.02882 | − | 0.467072i | ||||
\(16\) | −317.900 | + | 978.395i | −0.310449 | + | 0.955464i | ||||
\(17\) | −1067.70 | − | 775.728i | −0.896038 | − | 0.651009i | 0.0414076 | − | 0.999142i | \(-0.486816\pi\) |
−0.937445 | + | 0.348133i | \(0.886816\pi\) | |||||||
\(18\) | −537.140 | −0.390756 | ||||||||
\(19\) | 600.819 | + | 436.521i | 0.381821 | + | 0.277409i | 0.762096 | − | 0.647464i | \(-0.224171\pi\) |
−0.380275 | + | 0.924874i | \(0.624171\pi\) | |||||||
\(20\) | −1621.27 | − | 736.038i | −0.906318 | − | 0.411458i | ||||
\(21\) | −571.183 | + | 414.989i | −0.282636 | + | 0.205347i | ||||
\(22\) | 3853.75 | − | 2799.91i | 1.69757 | − | 1.23335i | ||||
\(23\) | −662.953 | − | 2040.36i | −0.261314 | − | 0.804243i | −0.992520 | − | 0.122085i | \(-0.961042\pi\) |
0.731205 | − | 0.682157i | \(-0.238958\pi\) | |||||||
\(24\) | 20.9670 | 0.00743034 | ||||||||
\(25\) | −1601.77 | + | 2683.27i | −0.512567 | + | 0.858647i | ||||
\(26\) | 5687.79 | 1.65010 | ||||||||
\(27\) | −956.721 | − | 2944.48i | −0.252567 | − | 0.777320i | ||||
\(28\) | −1032.91 | + | 750.455i | −0.248982 | + | 0.180896i | ||||
\(29\) | 530.629 | − | 385.525i | 0.117165 | − | 0.0851250i | −0.527660 | − | 0.849456i | \(-0.676930\pi\) |
0.644824 | + | 0.764331i | \(0.276930\pi\) | |||||||
\(30\) | −879.383 | + | 7818.34i | −0.178392 | + | 1.58603i | ||||
\(31\) | 2836.74 | + | 2061.01i | 0.530170 | + | 0.385191i | 0.820421 | − | 0.571760i | \(-0.193739\pi\) |
−0.290252 | + | 0.956950i | \(0.593739\pi\) | |||||||
\(32\) | 8182.28 | 1.41254 | ||||||||
\(33\) | −8494.45 | − | 6171.58i | −1.35785 | − | 0.986532i | ||||
\(34\) | −3258.80 | + | 10029.5i | −0.483459 | + | 1.48793i | ||||
\(35\) | 1106.24 | + | 1948.72i | 0.152644 | + | 0.268893i | ||||
\(36\) | 661.621 | + | 2036.26i | 0.0850850 | + | 0.261865i | ||||
\(37\) | −4254.72 | + | 13094.7i | −0.510936 | + | 1.57250i | 0.279620 | + | 0.960111i | \(0.409791\pi\) |
−0.790556 | + | 0.612389i | \(0.790209\pi\) | |||||||
\(38\) | 1833.80 | − | 5643.86i | 0.206012 | − | 0.634041i | ||||
\(39\) | −3874.16 | − | 11923.4i | −0.407865 | − | 1.25528i | ||||
\(40\) | 7.43807 | − | 66.1297i | 0.000735039 | − | 0.00653502i | ||||
\(41\) | 3587.99 | − | 11042.7i | 0.333343 | − | 1.02592i | −0.634189 | − | 0.773178i | \(-0.718666\pi\) |
0.967532 | − | 0.252747i | \(-0.0813340\pi\) | |||||||
\(42\) | 4564.14 | + | 3316.04i | 0.399242 | + | 0.290066i | ||||
\(43\) | 17718.5 | 1.46136 | 0.730678 | − | 0.682722i | \(-0.239204\pi\) | ||||
0.730678 | + | 0.682722i | \(0.239204\pi\) | |||||||
\(44\) | −15361.1 | − | 11160.5i | −1.19617 | − | 0.869065i | ||||
\(45\) | 3681.23 | − | 754.478i | 0.270996 | − | 0.0555412i | ||||
\(46\) | −13868.9 | + | 10076.3i | −0.966379 | + | 0.702115i | ||||
\(47\) | 2629.24 | − | 1910.26i | 0.173615 | − | 0.126138i | −0.497585 | − | 0.867415i | \(-0.665780\pi\) |
0.671199 | + | 0.741277i | \(0.265780\pi\) | |||||||
\(48\) | −5599.19 | − | 17232.5i | −0.350770 | − | 1.07956i | ||||
\(49\) | −15200.2 | −0.904396 | ||||||||
\(50\) | 24347.0 | + | 5547.12i | 1.37727 | + | 0.313793i | ||||
\(51\) | 23244.8 | 1.25141 | ||||||||
\(52\) | −7005.92 | − | 21562.0i | −0.359300 | − | 1.10581i | ||||
\(53\) | 1581.02 | − | 1148.68i | 0.0773121 | − | 0.0561705i | −0.548458 | − | 0.836178i | \(-0.684785\pi\) |
0.625770 | + | 0.780008i | \(0.284785\pi\) | |||||||
\(54\) | −20014.5 | + | 14541.4i | −0.934029 | + | 0.678612i | ||||
\(55\) | −22478.5 | + | 24602.0i | −1.00198 | + | 1.09664i | ||||
\(56\) | −38.6048 | − | 28.0480i | −0.00164502 | − | 0.00119518i | ||||
\(57\) | −13080.4 | −0.533254 | ||||||||
\(58\) | −4240.09 | − | 3080.61i | −0.165503 | − | 0.120245i | ||||
\(59\) | −10725.6 | + | 33010.0i | −0.401136 | + | 1.23457i | 0.522942 | + | 0.852368i | \(0.324834\pi\) |
−0.924079 | + | 0.382203i | \(0.875166\pi\) | |||||||
\(60\) | 30722.0 | − | 6296.54i | 1.10172 | − | 0.225800i | ||||
\(61\) | −13936.6 | − | 42892.3i | −0.479547 | − | 1.47589i | −0.839726 | − | 0.543010i | \(-0.817285\pi\) |
0.360180 | − | 0.932883i | \(-0.382715\pi\) | |||||||
\(62\) | 8658.20 | − | 26647.2i | 0.286054 | − | 0.880385i | ||||
\(63\) | 832.661 | − | 2562.67i | 0.0264312 | − | 0.0813468i | ||||
\(64\) | −10031.4 | − | 30873.4i | −0.306133 | − | 0.942181i | ||||
\(65\) | −38980.7 | + | 7989.19i | −1.14437 | + | 0.234541i | ||||
\(66\) | −25926.5 | + | 79793.5i | −0.732629 | + | 2.25480i | ||||
\(67\) | 34357.8 | + | 24962.4i | 0.935057 | + | 0.679359i | 0.947226 | − | 0.320567i | \(-0.103873\pi\) |
−0.0121685 | + | 0.999926i | \(0.503873\pi\) | |||||||
\(68\) | 42035.3 | 1.10241 | ||||||||
\(69\) | 30569.9 | + | 22210.3i | 0.772984 | + | 0.561606i | ||||
\(70\) | 12077.9 | − | 13218.9i | 0.294609 | − | 0.322440i | ||||
\(71\) | 30157.4 | − | 21910.6i | 0.709984 | − | 0.515833i | −0.173185 | − | 0.984889i | \(-0.555406\pi\) |
0.883168 | + | 0.469056i | \(0.155406\pi\) | |||||||
\(72\) | −64.7385 | + | 47.0353i | −0.00147174 | + | 0.00106928i | ||||
\(73\) | 20201.7 | + | 62174.6i | 0.443692 | + | 1.36554i | 0.883912 | + | 0.467653i | \(0.154900\pi\) |
−0.440220 | + | 0.897890i | \(0.645100\pi\) | |||||||
\(74\) | 110020. | 2.33557 | ||||||||
\(75\) | −4955.04 | − | 54817.4i | −0.101717 | − | 1.12529i | ||||
\(76\) | −23654.3 | −0.469759 | ||||||||
\(77\) | 7384.26 | + | 22726.4i | 0.141932 | + | 0.436821i | ||||
\(78\) | −81047.0 | + | 58884.1i | −1.50834 | + | 1.09588i | ||||
\(79\) | 64391.4 | − | 46783.1i | 1.16081 | − | 0.843376i | 0.170928 | − | 0.985284i | \(-0.445323\pi\) |
0.989880 | + | 0.141907i | \(0.0453234\pi\) | |||||||
\(80\) | −56337.5 | + | 11546.5i | −0.984176 | + | 0.201709i | ||||
\(81\) | 57331.0 | + | 41653.4i | 0.970906 | + | 0.705404i | ||||
\(82\) | −92779.7 | −1.52377 | ||||||||
\(83\) | −60043.4 | − | 43624.1i | −0.956688 | − | 0.695075i | −0.00430885 | − | 0.999991i | \(-0.501372\pi\) |
−0.952379 | + | 0.304916i | \(0.901372\pi\) | |||||||
\(84\) | 6949.02 | − | 21386.9i | 0.107455 | − | 0.330711i | ||||
\(85\) | 8246.12 | − | 73313.8i | 0.123795 | − | 1.10062i | ||||
\(86\) | −43751.6 | − | 134653.i | −0.637892 | − | 1.96323i | ||||
\(87\) | −3569.86 | + | 10986.9i | −0.0505654 | + | 0.155624i | ||||
\(88\) | 219.294 | − | 674.917i | 0.00301870 | − | 0.00929059i | ||||
\(89\) | 4582.02 | + | 14102.0i | 0.0613171 | + | 0.188715i | 0.977023 | − | 0.213135i | \(-0.0683674\pi\) |
−0.915706 | + | 0.401850i | \(0.868367\pi\) | |||||||
\(90\) | −14823.6 | − | 26112.9i | −0.192907 | − | 0.339820i | ||||
\(91\) | −8817.07 | + | 27136.2i | −0.111615 | + | 0.343514i | ||||
\(92\) | 55281.7 | + | 40164.5i | 0.680945 | + | 0.494735i | ||||
\(93\) | −61758.5 | −0.740439 | ||||||||
\(94\) | −21009.4 | − | 15264.3i | −0.245242 | − | 0.178179i | ||||
\(95\) | −4640.29 | + | 41255.4i | −0.0527516 | + | 0.468999i | ||||
\(96\) | −116592. | + | 84708.8i | −1.29119 | + | 0.938103i | ||||
\(97\) | −80506.3 | + | 58491.2i | −0.868761 | + | 0.631192i | −0.930254 | − | 0.366916i | \(-0.880414\pi\) |
0.0614933 | + | 0.998107i | \(0.480414\pi\) | |||||||
\(98\) | 37533.2 | + | 115515.i | 0.394775 | + | 1.21499i | ||||
\(99\) | 40072.4 | 0.410920 | ||||||||
\(100\) | −8960.56 | − | 99130.3i | −0.0896056 | − | 0.991303i | ||||
\(101\) | 108403. | 1.05739 | 0.528697 | − | 0.848811i | \(-0.322681\pi\) | ||||
0.528697 | + | 0.848811i | \(0.322681\pi\) | |||||||
\(102\) | −57397.5 | − | 176651.i | −0.546251 | − | 1.68119i | ||||
\(103\) | 15496.3 | − | 11258.7i | 0.143925 | − | 0.104568i | −0.513493 | − | 0.858094i | \(-0.671649\pi\) |
0.657418 | + | 0.753526i | \(0.271649\pi\) | |||||||
\(104\) | 685.518 | − | 498.058i | 0.00621492 | − | 0.00451540i | ||||
\(105\) | −35937.7 | − | 16315.3i | −0.318110 | − | 0.144418i | ||||
\(106\) | −12633.4 | − | 9178.72i | −0.109209 | − | 0.0793446i | ||||
\(107\) | 80225.1 | 0.677408 | 0.338704 | − | 0.940893i | \(-0.390011\pi\) | ||||
0.338704 | + | 0.940893i | \(0.390011\pi\) | |||||||
\(108\) | 79778.2 | + | 57962.2i | 0.658150 | + | 0.478174i | ||||
\(109\) | −12034.6 | + | 37038.7i | −0.0970210 | + | 0.298600i | −0.987775 | − | 0.155886i | \(-0.950177\pi\) |
0.890754 | + | 0.454486i | \(0.150177\pi\) | |||||||
\(110\) | 242470. | + | 110079.i | 1.91063 | + | 0.867404i | ||||
\(111\) | −74938.8 | − | 230638.i | −0.577297 | − | 1.77674i | ||||
\(112\) | −12743.0 | + | 39219.0i | −0.0959903 | + | 0.295428i | ||||
\(113\) | 50913.8 | − | 156697.i | 0.375094 | − | 1.15442i | −0.568322 | − | 0.822806i | \(-0.692407\pi\) |
0.943415 | − | 0.331613i | \(-0.107593\pi\) | |||||||
\(114\) | 32298.9 | + | 99405.8i | 0.232769 | + | 0.716390i | ||||
\(115\) | 80895.6 | − | 88537.8i | 0.570401 | − | 0.624286i | ||||
\(116\) | −6455.64 | + | 19868.4i | −0.0445445 | + | 0.137094i | ||||
\(117\) | 38709.8 | + | 28124.3i | 0.261430 | + | 0.189940i | ||||
\(118\) | 277347. | 1.83366 | ||||||||
\(119\) | −42798.7 | − | 31095.1i | −0.277053 | − | 0.201291i | ||||
\(120\) | 578.635 | + | 1019.31i | 0.00366819 | + | 0.00646177i | ||||
\(121\) | −157210. | + | 114219.i | −0.976148 | + | 0.709213i | ||||
\(122\) | −291551. | + | 211824.i | −1.77343 | + | 1.28848i | ||||
\(123\) | 63195.6 | + | 194496.i | 0.376638 | + | 1.15917i | ||||
\(124\) | −111682. | −0.652275 | ||||||||
\(125\) | −174651. | − | 3818.38i | −0.999761 | − | 0.0218577i | ||||
\(126\) | −21531.3 | −0.120821 | ||||||||
\(127\) | 5752.04 | + | 17703.0i | 0.0316455 | + | 0.0973950i | 0.965632 | − | 0.259914i | \(-0.0836943\pi\) |
−0.933986 | + | 0.357309i | \(0.883694\pi\) | |||||||
\(128\) | 1972.35 | − | 1433.00i | 0.0106404 | − | 0.00773073i | ||||
\(129\) | −252476. | + | 183435.i | −1.33581 | + | 0.970526i | ||||
\(130\) | 156968. | + | 276510.i | 0.814616 | + | 1.43500i | ||||
\(131\) | −57400.1 | − | 41703.6i | −0.292237 | − | 0.212322i | 0.432001 | − | 0.901873i | \(-0.357808\pi\) |
−0.724237 | + | 0.689551i | \(0.757808\pi\) | |||||||
\(132\) | 334427. | 1.67058 | ||||||||
\(133\) | 24083.9 | + | 17497.9i | 0.118058 | + | 0.0857745i | ||||
\(134\) | 104866. | − | 322744.i | 0.504512 | − | 1.55273i | ||||
\(135\) | 116742. | − | 127771.i | 0.551307 | − | 0.603388i | ||||
\(136\) | 485.484 | + | 1494.17i | 0.00225075 | + | 0.00692710i | ||||
\(137\) | −51735.2 | + | 159225.i | −0.235497 | + | 0.724784i | 0.761558 | + | 0.648096i | \(0.224435\pi\) |
−0.997055 | + | 0.0766880i | \(0.975565\pi\) | |||||||
\(138\) | 93304.4 | − | 287161.i | 0.417066 | − | 1.28360i | ||||
\(139\) | −10664.9 | − | 32823.1i | −0.0468187 | − | 0.144093i | 0.924914 | − | 0.380176i | \(-0.124136\pi\) |
−0.971733 | + | 0.236082i | \(0.924136\pi\) | |||||||
\(140\) | −64988.7 | − | 29504.1i | −0.280232 | − | 0.127222i | ||||
\(141\) | −17688.5 | + | 54439.6i | −0.0749278 | + | 0.230604i | ||||
\(142\) | −240978. | − | 175081.i | −1.00290 | − | 0.728649i | ||||
\(143\) | −424328. | −1.73525 | ||||||||
\(144\) | 55946.0 | + | 40647.1i | 0.224834 | + | 0.163352i | ||||
\(145\) | 33386.1 | + | 15156.9i | 0.131870 | + | 0.0598674i | ||||
\(146\) | 422618. | − | 307050.i | 1.64084 | − | 1.19214i | ||||
\(147\) | 216592. | − | 157363.i | 0.826702 | − | 0.600634i | ||||
\(148\) | −135517. | − | 417079.i | −0.508558 | − | 1.56518i | ||||
\(149\) | −371939. | −1.37248 | −0.686239 | − | 0.727376i | \(-0.740740\pi\) | ||||
−0.686239 | + | 0.727376i | \(0.740740\pi\) | |||||||
\(150\) | −404355. | + | 173015.i | −1.46735 | + | 0.627848i | ||||
\(151\) | 277546. | 0.990587 | 0.495294 | − | 0.868726i | \(-0.335060\pi\) | ||||
0.495294 | + | 0.868726i | \(0.335060\pi\) | |||||||
\(152\) | −273.193 | − | 840.803i | −0.000959094 | − | 0.00295179i | ||||
\(153\) | −71771.5 | + | 52145.0i | −0.247870 | + | 0.180088i | ||||
\(154\) | 154478. | − | 112235.i | 0.524885 | − | 0.381351i | ||||
\(155\) | −21908.9 | + | 194785.i | −0.0732472 | + | 0.651219i | ||||
\(156\) | 323055. | + | 234713.i | 1.06283 | + | 0.772193i | ||||
\(157\) | 248247. | 0.803777 | 0.401889 | − | 0.915689i | \(-0.368354\pi\) | ||||
0.401889 | + | 0.915689i | \(0.368354\pi\) | |||||||
\(158\) | −514532. | − | 373829.i | −1.63972 | − | 1.19133i | ||||
\(159\) | −10636.5 | + | 32735.7i | −0.0333660 | + | 0.102690i | ||||
\(160\) | 225809. | + | 397779.i | 0.697336 | + | 1.22841i | ||||
\(161\) | −26574.5 | − | 81787.9i | −0.0807979 | − | 0.248671i | ||||
\(162\) | 174984. | − | 538545.i | 0.523854 | − | 1.61226i | ||||
\(163\) | −116432. | + | 358341.i | −0.343244 | + | 1.05640i | 0.619273 | + | 0.785176i | \(0.287427\pi\) |
−0.962517 | + | 0.271221i | \(0.912573\pi\) | |||||||
\(164\) | 114281. | + | 351721.i | 0.331791 | + | 1.02115i | ||||
\(165\) | 65604.9 | − | 583274.i | 0.187597 | − | 1.66787i | ||||
\(166\) | −183263. | + | 564025.i | −0.516183 | + | 1.58865i | ||||
\(167\) | 442381. | + | 321409.i | 1.22745 | + | 0.891797i | 0.996697 | − | 0.0812139i | \(-0.0258797\pi\) |
0.230757 | + | 0.973011i | \(0.425880\pi\) | |||||||
\(168\) | 840.465 | 0.00229745 | ||||||||
\(169\) | −109517. | − | 79568.6i | −0.294961 | − | 0.214301i | ||||
\(170\) | −577517. | + | 118364.i | −1.53265 | + | 0.314120i | ||||
\(171\) | 40387.5 | − | 29343.2i | 0.105623 | − | 0.0767393i | ||||
\(172\) | −456571. | + | 331718.i | −1.17676 | + | 0.854965i | ||||
\(173\) | 27801.5 | + | 85564.2i | 0.0706241 | + | 0.217359i | 0.980139 | − | 0.198313i | \(-0.0635464\pi\) |
−0.909515 | + | 0.415672i | \(0.863546\pi\) | |||||||
\(174\) | 92310.9 | 0.231143 | ||||||||
\(175\) | −64207.1 | + | 107559.i | −0.158485 | + | 0.265492i | ||||
\(176\) | −613267. | −1.49234 | ||||||||
\(177\) | −188911. | − | 581409.i | −0.453236 | − | 1.39492i | ||||
\(178\) | 95855.3 | − | 69642.9i | 0.226760 | − | 0.164751i | ||||
\(179\) | 408991. | − | 297149.i | 0.954072 | − | 0.693174i | 0.00230571 | − | 0.999997i | \(-0.499266\pi\) |
0.951766 | + | 0.306823i | \(0.0992661\pi\) | |||||||
\(180\) | −80733.1 | + | 88359.9i | −0.185725 | + | 0.203270i | ||||
\(181\) | 589693. | + | 428437.i | 1.33792 | + | 0.972054i | 0.999518 | + | 0.0310512i | \(0.00988549\pi\) |
0.338399 | + | 0.941003i | \(0.390115\pi\) | |||||||
\(182\) | 227995. | 0.510208 | ||||||||
\(183\) | 642638. | + | 466904.i | 1.41853 | + | 1.03062i | ||||
\(184\) | −789.195 | + | 2428.89i | −0.00171846 | + | 0.00528888i | ||||
\(185\) | −754013. | + | 154537.i | −1.61976 | + | 0.331973i | ||||
\(186\) | 152498. | + | 469340.i | 0.323207 | + | 0.994729i | ||||
\(187\) | 243117. | − | 748237.i | 0.508407 | − | 1.56472i | ||||
\(188\) | −31987.4 | + | 98447.1i | −0.0660061 | + | 0.203146i | ||||
\(189\) | −38350.2 | − | 118030.i | −0.0780932 | − | 0.240346i | ||||
\(190\) | 324983. | − | 66606.0i | 0.653094 | − | 0.133853i | ||||
\(191\) | 65852.6 | − | 202673.i | 0.130614 | − | 0.401988i | −0.864268 | − | 0.503031i | \(-0.832218\pi\) |
0.994882 | + | 0.101043i | \(0.0322180\pi\) | |||||||
\(192\) | 462563. | + | 336072.i | 0.905561 | + | 0.657929i | ||||
\(193\) | 312190. | 0.603289 | 0.301644 | − | 0.953421i | \(-0.402464\pi\) | ||||
0.301644 | + | 0.953421i | \(0.402464\pi\) | |||||||
\(194\) | 643300. | + | 467385.i | 1.22718 | + | 0.891600i | ||||
\(195\) | 472737. | − | 517396.i | 0.890294 | − | 0.974399i | ||||
\(196\) | 391679. | − | 284571.i | 0.728266 | − | 0.529116i | ||||
\(197\) | −194734. | + | 141483.i | −0.357501 | + | 0.259739i | −0.752009 | − | 0.659153i | \(-0.770915\pi\) |
0.394508 | + | 0.918892i | \(0.370915\pi\) | |||||||
\(198\) | −98949.1 | − | 304534.i | −0.179370 | − | 0.552043i | ||||
\(199\) | −739203. | −1.32322 | −0.661609 | − | 0.749849i | \(-0.730126\pi\) | ||||
−0.661609 | + | 0.749849i | \(0.730126\pi\) | |||||||
\(200\) | 3420.15 | − | 1463.41i | 0.00604602 | − | 0.00258696i | ||||
\(201\) | −748002. | −1.30591 | ||||||||
\(202\) | −267674. | − | 823816.i | −0.461560 | − | 1.42054i | ||||
\(203\) | 21270.3 | − | 15453.8i | 0.0362271 | − | 0.0263205i | ||||
\(204\) | −598973. | + | 435179.i | −1.00770 | + | 0.732138i | ||||
\(205\) | 635856. | − | 130320.i | 1.05675 | − | 0.216585i | ||||
\(206\) | −123826. | − | 89965.1i | −0.203304 | − | 0.147709i | ||||
\(207\) | −144213. | −0.233926 | ||||||||
\(208\) | −592414. | − | 430414.i | −0.949438 | − | 0.689807i | ||||
\(209\) | −136808. | + | 421051.i | −0.216643 | + | 0.666759i | ||||
\(210\) | −35250.1 | + | 313398.i | −0.0551585 | + | 0.490398i | ||||
\(211\) | 39788.1 | + | 122455.i | 0.0615244 | + | 0.189353i | 0.977095 | − | 0.212806i | \(-0.0682601\pi\) |
−0.915570 | + | 0.402158i | \(0.868260\pi\) | |||||||
\(212\) | −19234.7 | + | 59198.3i | −0.0293931 | + | 0.0904627i | ||||
\(213\) | −202887. | + | 624422.i | −0.306412 | + | 0.943038i | ||||
\(214\) | −198096. | − | 609678.i | −0.295694 | − | 0.910051i | ||||
\(215\) | 488984. | + | 861379.i | 0.721437 | + | 1.27086i | ||||
\(216\) | −1138.90 | + | 3505.19i | −0.00166094 | + | 0.00511183i | ||||
\(217\) | 113711. | + | 82615.7i | 0.163928 | + | 0.119100i | ||||
\(218\) | 311196. | 0.443499 | ||||||||
\(219\) | −931535. | − | 676800.i | −1.31247 | − | 0.953565i | ||||
\(220\) | 118638. | − | 1.05478e6i | 0.165260 | − | 1.46928i | ||||
\(221\) | 759991. | − | 552166.i | 1.04671 | − | 0.760481i | ||||
\(222\) | −1.56771e6 | + | 1.13901e6i | −2.13493 | + | 1.55112i | ||||
\(223\) | −210042. | − | 646442.i | −0.282842 | − | 0.870497i | −0.987037 | − | 0.160491i | \(-0.948692\pi\) |
0.704195 | − | 0.710006i | \(-0.251308\pi\) | |||||||
\(224\) | 327987. | 0.436754 | ||||||||
\(225\) | 138271. | + | 158140.i | 0.182085 | + | 0.208251i | ||||
\(226\) | −1.31655e6 | −1.71461 | ||||||||
\(227\) | 138740. | + | 426997.i | 0.178705 | + | 0.549997i | 0.999783 | − | 0.0208182i | \(-0.00662711\pi\) |
−0.821078 | + | 0.570816i | \(0.806627\pi\) | |||||||
\(228\) | 337056. | − | 244886.i | 0.429403 | − | 0.311980i | ||||
\(229\) | 447685. | − | 325262.i | 0.564136 | − | 0.409869i | −0.268834 | − | 0.963186i | \(-0.586638\pi\) |
0.832970 | + | 0.553318i | \(0.186638\pi\) | |||||||
\(230\) | −872603. | − | 396151.i | −1.08767 | − | 0.493789i | ||||
\(231\) | −340500. | − | 247388.i | −0.419844 | − | 0.305034i | ||||
\(232\) | −780.792 | −0.000952391 | ||||||||
\(233\) | 705483. | + | 512563.i | 0.851327 | + | 0.618525i | 0.925512 | − | 0.378719i | \(-0.123635\pi\) |
−0.0741844 | + | 0.997245i | \(0.523635\pi\) | |||||||
\(234\) | 118149. | − | 363625.i | 0.141055 | − | 0.434124i | ||||
\(235\) | 165427. | + | 75101.7i | 0.195405 | + | 0.0887116i | ||||
\(236\) | −341622. | − | 1.05140e6i | −0.399269 | − | 1.22882i | ||||
\(237\) | −433200. | + | 1.33325e6i | −0.500977 | + | 1.54185i | ||||
\(238\) | −130629. | + | 402035.i | −0.149485 | + | 0.460067i | ||||
\(239\) | −9513.99 | − | 29281.0i | −0.0107738 | − | 0.0331583i | 0.945525 | − | 0.325549i | \(-0.105549\pi\) |
−0.956299 | + | 0.292391i | \(0.905549\pi\) | |||||||
\(240\) | 683232. | − | 747776.i | 0.765667 | − | 0.837999i | ||||
\(241\) | −13806.1 | + | 42490.8i | −0.0153119 | + | 0.0471251i | −0.958421 | − | 0.285360i | \(-0.907887\pi\) |
0.943109 | + | 0.332485i | \(0.107887\pi\) | |||||||
\(242\) | 1.25621e6 | + | 912692.i | 1.37887 | + | 1.00181i | ||||
\(243\) | −495820. | −0.538652 | ||||||||
\(244\) | 1.16213e6 | + | 844336.i | 1.24962 | + | 0.907905i | ||||
\(245\) | −419485. | − | 738952.i | −0.446479 | − | 0.786504i | ||||
\(246\) | 1.32204e6 | − | 960521.i | 1.39286 | − | 1.01197i | ||||
\(247\) | −427665. | + | 310717.i | −0.446027 | + | 0.324058i | ||||
\(248\) | −1289.87 | − | 3969.81i | −0.00133173 | − | 0.00409864i | ||||
\(249\) | 1.30720e6 | 1.33612 | ||||||||
\(250\) | 402240. | + | 1.33671e6i | 0.407039 | + | 1.35265i | ||||
\(251\) | −790968. | −0.792455 | −0.396227 | − | 0.918152i | \(-0.629681\pi\) | ||||
−0.396227 | + | 0.918152i | \(0.629681\pi\) | |||||||
\(252\) | 26521.1 | + | 81623.5i | 0.0263081 | + | 0.0809681i | ||||
\(253\) | 1.03467e6 | − | 751729.i | 1.01625 | − | 0.738346i | ||||
\(254\) | 120332. | − | 87426.3i | 0.117030 | − | 0.0850272i | ||||
\(255\) | 641496. | + | 1.13004e6i | 0.617794 | + | 1.08829i | ||||
\(256\) | −856159. | − | 622036.i | −0.816497 | − | 0.593220i | ||||
\(257\) | −875839. | −0.827164 | −0.413582 | − | 0.910467i | \(-0.635722\pi\) | ||||
−0.413582 | + | 0.910467i | \(0.635722\pi\) | |||||||
\(258\) | 2.01746e6 | + | 1.46577e6i | 1.88693 | + | 1.37093i | ||||
\(259\) | −170551. | + | 524901.i | −0.157981 | + | 0.486214i | ||||
\(260\) | 854885. | − | 935645.i | 0.784286 | − | 0.858377i | ||||
\(261\) | −13624.5 | − | 41931.8i | −0.0123799 | − | 0.0381015i | ||||
\(262\) | −175195. | + | 539194.i | −0.157677 | + | 0.485280i | ||||
\(263\) | −344118. | + | 1.05909e6i | −0.306774 | + | 0.944153i | 0.672235 | + | 0.740338i | \(0.265334\pi\) |
−0.979009 | + | 0.203816i | \(0.934666\pi\) | |||||||
\(264\) | 3862.44 | + | 11887.4i | 0.00341076 | + | 0.0104973i | ||||
\(265\) | 99474.6 | + | 45160.3i | 0.0870156 | + | 0.0395041i | ||||
\(266\) | 73508.0 | − | 226234.i | 0.0636987 | − | 0.196044i | ||||
\(267\) | −211284. | − | 153507.i | −0.181380 | − | 0.131780i | ||||
\(268\) | −1.35267e6 | −1.15041 | ||||||||
\(269\) | −288532. | − | 209631.i | −0.243116 | − | 0.176634i | 0.459555 | − | 0.888150i | \(-0.348009\pi\) |
−0.702670 | + | 0.711516i | \(0.748009\pi\) | |||||||
\(270\) | −1.25927e6 | − | 571694.i | −1.05126 | − | 0.477259i | ||||
\(271\) | −907528. | + | 659358.i | −0.750649 | + | 0.545378i | −0.896028 | − | 0.443998i | \(-0.853560\pi\) |
0.145379 | + | 0.989376i | \(0.453560\pi\) | |||||||
\(272\) | 1.09839e6 | − | 798027.i | 0.900190 | − | 0.654026i | ||||
\(273\) | −155296. | − | 477951.i | −0.126111 | − | 0.388130i | ||||
\(274\) | 1.33779e6 | 1.07649 | ||||||||
\(275\) | −1.81636e6 | − | 413834.i | −1.44834 | − | 0.329985i | ||||
\(276\) | −1.20354e6 | −0.951013 | ||||||||
\(277\) | −415281. | − | 1.27810e6i | −0.325194 | − | 1.00084i | −0.971353 | − | 0.237642i | \(-0.923626\pi\) |
0.646159 | − | 0.763203i | \(-0.276374\pi\) | |||||||
\(278\) | −223108. | + | 162098.i | −0.173142 | + | 0.125795i | ||||
\(279\) | 190688. | − | 138543.i | 0.146660 | − | 0.106555i | ||||
\(280\) | 298.155 | − | 2650.81i | 0.000227273 | − | 0.00202062i | ||||
\(281\) | 880092. | + | 639424.i | 0.664909 | + | 0.483085i | 0.868317 | − | 0.496009i | \(-0.165202\pi\) |
−0.203408 | + | 0.979094i | \(0.565202\pi\) | |||||||
\(282\) | 457396. | 0.342507 | ||||||||
\(283\) | −1.09141e6 | − | 792959.i | −0.810072 | − | 0.588551i | 0.103780 | − | 0.994600i | \(-0.466906\pi\) |
−0.913851 | + | 0.406049i | \(0.866906\pi\) | |||||||
\(284\) | −366895. | + | 1.12919e6i | −0.269927 | + | 0.830750i | ||||
\(285\) | −360985. | − | 635900.i | −0.263255 | − | 0.463742i | ||||
\(286\) | 1.04778e6 | + | 3.22472e6i | 0.757448 | + | 2.33119i | ||||
\(287\) | 143825. | − | 442647.i | 0.103069 | − | 0.317214i | ||||
\(288\) | 169965. | − | 523099.i | 0.120748 | − | 0.371623i | ||||
\(289\) | 99465.5 | + | 306123.i | 0.0700532 | + | 0.215601i | ||||
\(290\) | 32747.4 | − | 291147.i | 0.0228655 | − | 0.203291i | ||||
\(291\) | 541614. | − | 1.66692e6i | 0.374936 | − | 1.15393i | ||||
\(292\) | −1.68456e6 | − | 1.22391e6i | −1.15619 | − | 0.840023i | ||||
\(293\) | −410512. | −0.279355 | −0.139678 | − | 0.990197i | \(-0.544607\pi\) | ||||
−0.139678 | + | 0.990197i | \(0.544607\pi\) | |||||||
\(294\) | −1.73072e6 | − | 1.25744e6i | −1.16777 | − | 0.848435i | ||||
\(295\) | −1.90077e6 | + | 389568.i | −1.27167 | + | 0.260632i | ||||
\(296\) | 13260.1 | − | 9634.05i | 0.00879668 | − | 0.00639116i | ||||
\(297\) | 1.49315e6 | − | 1.08484e6i | 0.982226 | − | 0.713629i | ||||
\(298\) | 918412. | + | 2.82658e6i | 0.599097 | + | 1.84383i | ||||
\(299\) | 1.52707e6 | 0.987830 | ||||||||
\(300\) | 1.15395e6 | + | 1.31977e6i | 0.740259 | + | 0.846633i | ||||
\(301\) | 710247. | 0.451849 | ||||||||
\(302\) | −685333. | − | 2.10924e6i | −0.432398 | − | 1.33079i | ||||
\(303\) | −1.54466e6 | + | 1.12226e6i | −0.966555 | + | 0.702244i | ||||
\(304\) | −618090. | + | 449068.i | −0.383590 | + | 0.278695i | ||||
\(305\) | 1.70058e6 | − | 1.86124e6i | 1.04676 | − | 1.14565i | ||||
\(306\) | 573503. | + | 416675.i | 0.350132 | + | 0.254386i | ||||
\(307\) | −89418.3 | −0.0541477 | −0.0270739 | − | 0.999633i | \(-0.508619\pi\) | ||||
−0.0270739 | + | 0.999633i | \(0.508619\pi\) | |||||||
\(308\) | −615751. | − | 447370.i | −0.369853 | − | 0.268714i | ||||
\(309\) | −104253. | + | 320858.i | −0.0621145 | + | 0.191169i | ||||
\(310\) | 1.53439e6 | − | 314477.i | 0.906841 | − | 0.185859i | ||||
\(311\) | −60731.1 | − | 186911.i | −0.0356049 | − | 0.109581i | 0.931675 | − | 0.363294i | \(-0.118348\pi\) |
−0.967279 | + | 0.253713i | \(0.918348\pi\) | |||||||
\(312\) | −4611.89 | + | 14193.9i | −0.00268221 | + | 0.00825499i | ||||
\(313\) | 740022. | − | 2.27755e6i | 0.426957 | − | 1.31404i | −0.474152 | − | 0.880443i | \(-0.657245\pi\) |
0.901108 | − | 0.433594i | \(-0.142755\pi\) | |||||||
\(314\) | −612987. | − | 1.88658e6i | −0.350854 | − | 1.07982i | ||||
\(315\) | 147562. | − | 30243.3i | 0.0837914 | − | 0.0171733i | ||||
\(316\) | −783387. | + | 2.41102e6i | −0.441325 | + | 1.35826i | ||||
\(317\) | 1.41987e6 | + | 1.03160e6i | 0.793599 | + | 0.576583i | 0.909029 | − | 0.416732i | \(-0.136825\pi\) |
−0.115430 | + | 0.993316i | \(0.536825\pi\) | |||||||
\(318\) | 275042. | 0.152522 | ||||||||
\(319\) | 316325. | + | 229823.i | 0.174043 | + | 0.126450i | ||||
\(320\) | 1.22406e6 | − | 1.33970e6i | 0.668233 | − | 0.731360i | ||||
\(321\) | −1.14315e6 | + | 830547.i | −0.619214 | + | 0.449885i | ||||
\(322\) | −555935. | + | 403911.i | −0.298803 | + | 0.217093i | ||||
\(323\) | −302872. | − | 932145.i | −0.161530 | − | 0.497138i | ||||
\(324\) | −2.25712e6 | −1.19452 | ||||||||
\(325\) | −1.46416e6 | − | 1.67455e6i | −0.768916 | − | 0.879408i | ||||
\(326\) | 3.01074e6 | 1.56902 | ||||||||
\(327\) | −211967. | − | 652366.i | −0.109622 | − | 0.337382i | ||||
\(328\) | −11182.2 | + | 8124.36i | −0.00573910 | + | 0.00416970i | ||||
\(329\) | 105393. | − | 76572.7i | 0.0536813 | − | 0.0390018i | ||||
\(330\) | −4.59464e6 | + | 941683.i | −2.32256 | + | 0.476014i | ||||
\(331\) | 53479.4 | + | 38855.0i | 0.0268297 | + | 0.0194929i | 0.601119 | − | 0.799159i | \(-0.294722\pi\) |
−0.574290 | + | 0.818652i | \(0.694722\pi\) | |||||||
\(332\) | 2.36391e6 | 1.17703 | ||||||||
\(333\) | 748772. | + | 544015.i | 0.370032 | + | 0.268844i | ||||
\(334\) | 1.35022e6 | − | 4.15555e6i | 0.662276 | − | 2.03828i | ||||
\(335\) | −265354. | + | 2.35919e6i | −0.129186 | + | 1.14855i | ||||
\(336\) | −224444. | − | 690767.i | −0.108458 | − | 0.333798i | ||||
\(337\) | −895544. | + | 2.75620e6i | −0.429548 | + | 1.32201i | 0.469023 | + | 0.883186i | \(0.344606\pi\) |
−0.898571 | + | 0.438828i | \(0.855394\pi\) | |||||||
\(338\) | −334264. | + | 1.02876e6i | −0.159147 | + | 0.489803i | ||||
\(339\) | 896750. | + | 2.75991e6i | 0.423811 | + | 1.30436i | ||||
\(340\) | 1.16006e6 | + | 2.04353e6i | 0.544233 | + | 0.958704i | ||||
\(341\) | −645931. | + | 1.98797e6i | −0.300815 | + | 0.925814i | ||||
\(342\) | −322724. | − | 234473.i | −0.149199 | − | 0.108399i | ||||
\(343\) | −1.28301e6 | −0.588836 | ||||||||
\(344\) | −17064.2 | − | 12397.9i | −0.00777482 | − | 0.00564874i | ||||
\(345\) | −236099. | + | 2.09909e6i | −0.106794 | + | 0.949474i | ||||
\(346\) | 581604. | − | 422560.i | 0.261178 | − | 0.189757i | ||||
\(347\) | −329116. | + | 239117.i | −0.146732 | + | 0.106607i | −0.658729 | − | 0.752380i | \(-0.728906\pi\) |
0.511997 | + | 0.858987i | \(0.328906\pi\) | |||||||
\(348\) | −113704. | − | 349944.i | −0.0503300 | − | 0.154900i | ||||
\(349\) | 1.12904e6 | 0.496187 | 0.248093 | − | 0.968736i | \(-0.420196\pi\) | ||||
0.248093 | + | 0.968736i | \(0.420196\pi\) | |||||||
\(350\) | 975949. | + | 222357.i | 0.425850 | + | 0.0970242i | ||||
\(351\) | 2.20375e6 | 0.954762 | ||||||||
\(352\) | 1.50730e6 | + | 4.63898e6i | 0.648399 | + | 1.99557i | ||||
\(353\) | 2.39242e6 | − | 1.73820e6i | 1.02188 | − | 0.742441i | 0.0552141 | − | 0.998475i | \(-0.482416\pi\) |
0.966668 | + | 0.256034i | \(0.0824159\pi\) | |||||||
\(354\) | −3.95200e6 | + | 2.87129e6i | −1.67613 | + | 1.21778i | ||||
\(355\) | 1.89744e6 | + | 861417.i | 0.799094 | + | 0.362779i | ||||
\(356\) | −382081. | − | 277598.i | −0.159783 | − | 0.116089i | ||||
\(357\) | 931770. | 0.386935 | ||||||||
\(358\) | −3.26812e6 | − | 2.37443e6i | −1.34769 | − | 0.979155i | ||||
\(359\) | −1.28577e6 | + | 3.95719e6i | −0.526534 | + | 1.62051i | 0.234727 | + | 0.972061i | \(0.424580\pi\) |
−0.761262 | + | 0.648445i | \(0.775420\pi\) | |||||||
\(360\) | −4073.22 | − | 1849.19i | −0.00165646 | − | 0.000752014i | ||||
\(361\) | −594723. | − | 1.83037e6i | −0.240186 | − | 0.739215i | ||||
\(362\) | 1.79984e6 | − | 5.53934e6i | 0.721876 | − | 2.22171i | ||||
\(363\) | 1.05764e6 | − | 3.25509e6i | 0.421282 | − | 1.29657i | ||||
\(364\) | −280833. | − | 864314.i | −0.111095 | − | 0.341915i | ||||
\(365\) | −2.46508e6 | + | 2.69795e6i | −0.968499 | + | 1.05999i | ||||
\(366\) | 1.96144e6 | − | 6.03669e6i | 0.765371 | − | 2.35557i | ||||
\(367\) | −367596. | − | 267074.i | −0.142464 | − | 0.103506i | 0.514270 | − | 0.857628i | \(-0.328063\pi\) |
−0.656735 | + | 0.754122i | \(0.728063\pi\) | |||||||
\(368\) | 2.20703e6 | 0.849549 | ||||||||
\(369\) | −631437. | − | 458766.i | −0.241415 | − | 0.175398i | ||||
\(370\) | 3.03627e6 | + | 5.34860e6i | 1.15302 | + | 2.03112i | ||||
\(371\) | 63375.2 | − | 46044.8i | 0.0239048 | − | 0.0173678i | ||||
\(372\) | 1.59139e6 | − | 1.15622e6i | 0.596239 | − | 0.433193i | ||||
\(373\) | −1.16737e6 | − | 3.59280e6i | −0.434447 | − | 1.33709i | −0.893652 | − | 0.448761i | \(-0.851866\pi\) |
0.459205 | − | 0.888330i | \(-0.348134\pi\) | |||||||
\(374\) | −6.28662e6 | −2.32401 | ||||||||
\(375\) | 2.52818e6 | − | 1.75370e6i | 0.928390 | − | 0.643988i | ||||
\(376\) | −3868.79 | −0.00141125 | ||||||||
\(377\) | 144270. | + | 444017.i | 0.0522784 | + | 0.160896i | ||||
\(378\) | −802282. | + | 582892.i | −0.288800 | + | 0.209826i | ||||
\(379\) | 3.69316e6 | − | 2.68324e6i | 1.32069 | − | 0.959536i | 0.320765 | − | 0.947159i | \(-0.396060\pi\) |
0.999923 | − | 0.0123770i | \(-0.00393981\pi\) | |||||||
\(380\) | −652795. | − | 1.14994e6i | −0.231909 | − | 0.408524i | ||||
\(381\) | −265236. | − | 192705.i | −0.0936096 | − | 0.0680113i | ||||
\(382\) | −1.70284e6 | −0.597057 | ||||||||
\(383\) | 89885.3 | + | 65305.5i | 0.0313106 | + | 0.0227485i | 0.603331 | − | 0.797491i | \(-0.293840\pi\) |
−0.572020 | + | 0.820240i | \(0.693840\pi\) | |||||||
\(384\) | −13269.2 | + | 40838.4i | −0.00459216 | + | 0.0141332i | ||||
\(385\) | −901051. | + | 986172.i | −0.309811 | + | 0.339079i | ||||
\(386\) | −770876. | − | 2.37251e6i | −0.263340 | − | 0.810477i | ||||
\(387\) | 368055. | − | 1.13276e6i | 0.124921 | − | 0.384467i | ||||
\(388\) | 979440. | − | 3.01441e6i | 0.330292 | − | 1.01654i | ||||
\(389\) | −181628. | − | 558993.i | −0.0608567 | − | 0.187298i | 0.916006 | − | 0.401164i | \(-0.131394\pi\) |
−0.976863 | + | 0.213866i | \(0.931394\pi\) | |||||||
\(390\) | −5.09931e6 | − | 2.31503e6i | −1.69766 | − | 0.770716i | ||||
\(391\) | −874931. | + | 2.69276e6i | −0.289422 | + | 0.890750i | ||||
\(392\) | 14638.9 | + | 10635.8i | 0.00481164 | + | 0.00349586i | ||||
\(393\) | 1.24966e6 | 0.408140 | ||||||||
\(394\) | 1.55606e6 | + | 1.13054e6i | 0.504993 | + | 0.366899i | ||||
\(395\) | 4.05138e6 | + | 1.83928e6i | 1.30650 | + | 0.593137i | ||||
\(396\) | −1.03259e6 | + | 750218.i | −0.330894 | + | 0.240408i | ||||
\(397\) | −1.00868e6 | + | 732850.i | −0.321202 | + | 0.233367i | −0.736688 | − | 0.676233i | \(-0.763611\pi\) |
0.415486 | + | 0.909599i | \(0.363611\pi\) | |||||||
\(398\) | 1.82528e6 | + | 5.61764e6i | 0.577594 | + | 1.77765i | ||||
\(399\) | −524329. | −0.164881 | ||||||||
\(400\) | −2.11610e6 | − | 2.42018e6i | −0.661280 | − | 0.756305i | ||||
\(401\) | −527247. | −0.163740 | −0.0818698 | − | 0.996643i | \(-0.526089\pi\) | ||||
−0.0818698 | + | 0.996643i | \(0.526089\pi\) | |||||||
\(402\) | 1.84701e6 | + | 5.68451e6i | 0.570039 | + | 1.75440i | ||||
\(403\) | −2.01920e6 | + | 1.46703e6i | −0.619322 | + | 0.449963i | ||||
\(404\) | −2.79332e6 | + | 2.02947e6i | −0.851467 | + | 0.618627i | ||||
\(405\) | −442783. | + | 3.93665e6i | −0.134138 | + | 1.19259i | ||||
\(406\) | −169964. | − | 123486.i | −0.0511732 | − | 0.0371795i | ||||
\(407\) | −8.20787e6 | −2.45609 | ||||||||
\(408\) | −22386.5 | − | 16264.7i | −0.00665787 | − | 0.00483722i | ||||
\(409\) | 1.44301e6 | − | 4.44114e6i | 0.426542 | − | 1.31276i | −0.474968 | − | 0.880003i | \(-0.657540\pi\) |
0.901510 | − | 0.432758i | \(-0.142460\pi\) | |||||||
\(410\) | −2.56047e6 | − | 4.51045e6i | −0.752247 | − | 1.32514i | ||||
\(411\) | −911217. | − | 2.80444e6i | −0.266083 | − | 0.818919i | ||||
\(412\) | −188529. | + | 580231.i | −0.0547185 | + | 0.168406i | ||||
\(413\) | −429937. | + | 1.32321e6i | −0.124031 | + | 0.381727i | ||||
\(414\) | 356098. | + | 1.09596e6i | 0.102110 | + | 0.314263i | ||||
\(415\) | 463732. | − | 4.12290e6i | 0.132174 | − | 1.17512i | ||||
\(416\) | −1.79977e6 | + | 5.53912e6i | −0.509898 | + | 1.56930i | ||||
\(417\) | 491776. | + | 357296.i | 0.138493 | + | 0.100621i | ||||
\(418\) | 3.53763e6 | 0.990311 | ||||||||
\(419\) | −2.17829e6 | − | 1.58262e6i | −0.606150 | − | 0.440394i | 0.241906 | − | 0.970300i | \(-0.422227\pi\) |
−0.848057 | + | 0.529906i | \(0.822227\pi\) | |||||||
\(420\) | 1.23149e6 | − | 252397.i | 0.340650 | − | 0.0698170i | ||||
\(421\) | −4.39189e6 | + | 3.19090e6i | −1.20766 | + | 0.877420i | −0.995017 | − | 0.0997090i | \(-0.968209\pi\) |
−0.212648 | + | 0.977129i | \(0.568209\pi\) | |||||||
\(422\) | 832363. | − | 604747.i | 0.227526 | − | 0.165308i | ||||
\(423\) | −67508.6 | − | 207770.i | −0.0183446 | − | 0.0564588i | ||||
\(424\) | −2326.38 | −0.000628444 | ||||||||
\(425\) | 3.79170e6 | − | 1.62239e6i | 1.01827 | − | 0.435694i | ||||
\(426\) | 5.24633e6 | 1.40066 | ||||||||
\(427\) | −558647. | − | 1.71934e6i | −0.148275 | − | 0.456344i | ||||
\(428\) | −2.06724e6 | + | 1.50194e6i | −0.545484 | + | 0.396317i | ||||
\(429\) | 6.04637e6 | − | 4.39295e6i | 1.58618 | − | 1.15242i | ||||
\(430\) | 5.33871e6 | − | 5.84305e6i | 1.39240 | − | 1.52394i | ||||
\(431\) | 2.20781e6 | + | 1.60407e6i | 0.572491 | + | 0.415939i | 0.836009 | − | 0.548715i | \(-0.184883\pi\) |
−0.263518 | + | 0.964654i | \(0.584883\pi\) | |||||||
\(432\) | 3.18501e6 | 0.821110 | ||||||||
\(433\) | 378128. | + | 274726.i | 0.0969212 | + | 0.0704173i | 0.635190 | − | 0.772356i | \(-0.280922\pi\) |
−0.538269 | + | 0.842773i | \(0.680922\pi\) | |||||||
\(434\) | 347064. | − | 1.06815e6i | 0.0884475 | − | 0.272214i | ||||
\(435\) | −632643. | + | 129662.i | −0.160301 | + | 0.0328541i | ||||
\(436\) | −383315. | − | 1.17972e6i | −0.0965693 | − | 0.297210i | ||||
\(437\) | 492344. | − | 1.51528e6i | 0.123329 | − | 0.379568i | ||||
\(438\) | −2.84320e6 | + | 8.75048e6i | −0.708146 | + | 2.17945i | ||||
\(439\) | 1.16893e6 | + | 3.59761e6i | 0.289487 | + | 0.890949i | 0.985018 | + | 0.172453i | \(0.0551692\pi\) |
−0.695531 | + | 0.718496i | \(0.744831\pi\) | |||||||
\(440\) | 38862.8 | − | 7965.02i | 0.00956978 | − | 0.00196135i | ||||
\(441\) | −315744. | + | 971759.i | −0.0773105 | + | 0.237937i | ||||
\(442\) | −6.07284e6 | − | 4.41218e6i | −1.47855 | − | 1.07423i | ||||
\(443\) | 4.53435e6 | 1.09776 | 0.548878 | − | 0.835902i | \(-0.315055\pi\) | ||||
0.548878 | + | 0.835902i | \(0.315055\pi\) | |||||||
\(444\) | 6.24892e6 | + | 4.54011e6i | 1.50435 | + | 1.09297i | ||||
\(445\) | −559113. | + | 611931.i | −0.133844 | + | 0.146488i | ||||
\(446\) | −4.39405e6 | + | 3.19246e6i | −1.04599 | + | 0.759957i | ||||
\(447\) | 5.29986e6 | − | 3.85057e6i | 1.25457 | − | 0.911500i | ||||
\(448\) | −402108. | − | 1.23756e6i | −0.0946558 | − | 0.291321i | ||||
\(449\) | −3.02927e6 | −0.709125 | −0.354562 | − | 0.935032i | \(-0.615370\pi\) | ||||
−0.354562 | + | 0.935032i | \(0.615370\pi\) | |||||||
\(450\) | 860375. | − | 1.44129e6i | 0.200289 | − | 0.335522i | ||||
\(451\) | 6.92167e6 | 1.60239 | ||||||||
\(452\) | 1.62166e6 | + | 4.99095e6i | 0.373347 | + | 1.14905i | ||||
\(453\) | −3.95483e6 | + | 2.87335e6i | −0.905488 | + | 0.657876i | ||||
\(454\) | 2.90242e6 | − | 2.10873e6i | 0.660877 | − | 0.480156i | ||||
\(455\) | −1.56254e6 | + | 320247.i | −0.353837 | + | 0.0725198i | ||||
\(456\) | 12597.4 | + | 9152.54i | 0.00283706 | + | 0.00206125i | ||||
\(457\) | 1.34799e6 | 0.301924 | 0.150962 | − | 0.988540i | \(-0.451763\pi\) | ||||
0.150962 | + | 0.988540i | \(0.451763\pi\) | |||||||
\(458\) | −3.57731e6 | − | 2.59907e6i | −0.796880 | − | 0.578967i | ||||
\(459\) | −1.26263e6 | + | 3.88598e6i | −0.279734 | + | 0.860931i | ||||
\(460\) | −426955. | + | 3.79594e6i | −0.0940780 | + | 0.836420i | ||||
\(461\) | 437471. | + | 1.34640e6i | 0.0958732 | + | 0.295068i | 0.987480 | − | 0.157742i | \(-0.0504216\pi\) |
−0.891607 | + | 0.452810i | \(0.850422\pi\) | |||||||
\(462\) | −1.03926e6 | + | 3.19853e6i | −0.226528 | + | 0.697180i | ||||
\(463\) | 837259. | − | 2.57682e6i | 0.181513 | − | 0.558639i | −0.818358 | − | 0.574709i | \(-0.805115\pi\) |
0.999871 | + | 0.0160697i | \(0.00511537\pi\) | |||||||
\(464\) | 208508. | + | 641723.i | 0.0449603 | + | 0.138373i | ||||
\(465\) | −1.70437e6 | − | 3.00237e6i | −0.365538 | − | 0.643920i | ||||
\(466\) | 2.15325e6 | − | 6.62703e6i | 0.459336 | − | 1.41369i | ||||
\(467\) | −5.84941e6 | − | 4.24985e6i | −1.24114 | − | 0.901739i | −0.243464 | − | 0.969910i | \(-0.578284\pi\) |
−0.997674 | + | 0.0681706i | \(0.978284\pi\) | |||||||
\(468\) | −1.52401e6 | −0.321641 | ||||||||
\(469\) | 1.37723e6 | + | 1.00062e6i | 0.289118 | + | 0.210057i | ||||
\(470\) | 162262. | − | 1.44262e6i | 0.0338822 | − | 0.301236i | ||||
\(471\) | −3.53735e6 | + | 2.57003e6i | −0.734726 | + | 0.533810i | ||||
\(472\) | 33427.1 | − | 24286.2i | 0.00690628 | − | 0.00501770i | ||||
\(473\) | 3.26401e6 | + | 1.00456e7i | 0.670809 | + | 2.06454i | ||||
\(474\) | 1.12019e7 | 2.29005 | ||||||||
\(475\) | −2.13368e6 | + | 912955.i | −0.433905 | + | 0.185659i | ||||
\(476\) | 1.68499e6 | 0.340863 | ||||||||
\(477\) | −40594.3 | − | 124937.i | −0.00816901 | − | 0.0251416i | ||||
\(478\) | −199032. | + | 144605.i | −0.0398430 | + | 0.0289476i | ||||
\(479\) | −2.21928e6 | + | 1.61240e6i | −0.441950 | + | 0.321095i | −0.786409 | − | 0.617706i | \(-0.788062\pi\) |
0.344460 | + | 0.938801i | \(0.388062\pi\) | |||||||
\(480\) | −7.33571e6 | − | 3.33033e6i | −1.45325 | − | 0.659757i | ||||
\(481\) | −7.92877e6 | − | 5.76059e6i | −1.56258 | − | 1.13528i | ||||
\(482\) | 357004. | 0.0699931 | ||||||||
\(483\) | 1.22539e6 | + | 890301.i | 0.239006 | + | 0.173648i | ||||
\(484\) | 1.91261e6 | − | 5.88642e6i | 0.371120 | − | 1.14219i | ||||
\(485\) | −5.06529e6 | − | 2.29958e6i | −0.977800 | − | 0.443910i | ||||
\(486\) | 1.22431e6 | + | 3.76803e6i | 0.235125 | + | 0.723642i | ||||
\(487\) | −1.10276e6 | + | 3.39395e6i | −0.210697 | + | 0.648459i | 0.788734 | + | 0.614735i | \(0.210737\pi\) |
−0.999431 | + | 0.0337244i | \(0.989263\pi\) | |||||||
\(488\) | −16590.4 | + | 51060.0i | −0.00315361 | + | 0.00970580i | ||||
\(489\) | −2.05073e6 | − | 6.31148e6i | −0.387825 | − | 1.19360i | ||||
\(490\) | −4.57992e6 | + | 5.01258e6i | −0.861723 | + | 0.943129i | ||||
\(491\) | 1.96757e6 | − | 6.05556e6i | 0.368321 | − | 1.13358i | −0.579554 | − | 0.814934i | \(-0.696773\pi\) |
0.947875 | − | 0.318643i | \(-0.103227\pi\) | |||||||
\(492\) | −5.26969e6 | − | 3.82866e6i | −0.981460 | − | 0.713072i | ||||
\(493\) | −865615. | −0.160401 | ||||||||
\(494\) | 3.41733e6 | + | 2.48284e6i | 0.630043 | + | 0.457753i | ||||
\(495\) | 1.10589e6 | + | 1.94811e6i | 0.202862 | + | 0.357355i | ||||
\(496\) | −2.91828e6 | + | 2.12025e6i | −0.532626 | + | 0.386976i | ||||
\(497\) | 1.20886e6 | − | 878289.i | 0.219526 | − | 0.159495i | ||||
\(498\) | −3.22782e6 | − | 9.93422e6i | −0.583225 | − | 1.79498i | ||||
\(499\) | −4.42870e6 | −0.796204 | −0.398102 | − | 0.917341i | \(-0.630331\pi\) | ||||
−0.398102 | + | 0.917341i | \(0.630331\pi\) | |||||||
\(500\) | 4.57190e6 | − | 3.17135e6i | 0.817846 | − | 0.567308i | ||||
\(501\) | −9.63106e6 | −1.71427 | ||||||||
\(502\) | 1.95310e6 | + | 6.01103e6i | 0.345912 | + | 1.06461i | ||||
\(503\) | −329039. | + | 239061.i | −0.0579865 | + | 0.0421297i | −0.616401 | − | 0.787432i | \(-0.711410\pi\) |
0.558414 | + | 0.829562i | \(0.311410\pi\) | |||||||
\(504\) | −2595.05 | + | 1885.41i | −0.000455060 | + | 0.000330620i | ||||
\(505\) | 2.99163e6 | + | 5.26996e6i | 0.522011 | + | 0.919558i | ||||
\(506\) | −8.26769e6 | − | 6.00683e6i | −1.43551 | − | 1.04296i | ||||
\(507\) | 2.38429e6 | 0.411945 | ||||||||
\(508\) | −479646. | − | 348483.i | −0.0824634 | − | 0.0599132i | ||||
\(509\) | −347677. | + | 1.07004e6i | −0.0594815 | + | 0.183065i | −0.976382 | − | 0.216050i | \(-0.930683\pi\) |
0.916901 | + | 0.399115i | \(0.130683\pi\) | |||||||
\(510\) | 7.00382e6 | − | 7.66546e6i | 1.19237 | − | 1.30501i | ||||
\(511\) | 809787. | + | 2.49227e6i | 0.137189 | + | 0.422224i | ||||
\(512\) | −2.58904e6 | + | 7.96823e6i | −0.436479 | + | 1.34334i | ||||
\(513\) | 710512. | − | 2.18673e6i | 0.119200 | − | 0.366861i | ||||
\(514\) | 2.16267e6 | + | 6.65602e6i | 0.361063 | + | 1.11124i | ||||
\(515\) | 974998. | + | 442638.i | 0.161989 | + | 0.0735411i | ||||
\(516\) | 3.07163e6 | − | 9.45349e6i | 0.507860 | − | 1.56303i | ||||
\(517\) | 1.56737e6 | + | 1.13876e6i | 0.257897 | + | 0.187373i | ||||
\(518\) | 4.41017e6 | 0.722155 | ||||||||
\(519\) | −1.28197e6 | − | 931408.i | −0.208911 | − | 0.151782i | ||||
\(520\) | 43131.4 | + | 19581.2i | 0.00699496 | + | 0.00317563i | ||||
\(521\) | 4.85369e6 | − | 3.52641e6i | 0.783390 | − | 0.569166i | −0.122605 | − | 0.992456i | \(-0.539125\pi\) |
0.905994 | + | 0.423289i | \(0.139125\pi\) | |||||||
\(522\) | −285022. | + | 207081.i | −0.0457828 | + | 0.0332632i | ||||
\(523\) | 1.49623e6 | + | 4.60491e6i | 0.239190 | + | 0.736152i | 0.996538 | + | 0.0831398i | \(0.0264948\pi\) |
−0.757348 | + | 0.653012i | \(0.773505\pi\) | |||||||
\(524\) | 2.25984e6 | 0.359543 | ||||||||
\(525\) | −198623. | − | 2.19736e6i | −0.0314508 | − | 0.347938i | ||||
\(526\) | 8.89835e6 | 1.40231 | ||||||||
\(527\) | −1.43000e6 | − | 4.40107e6i | −0.224289 | − | 0.690291i | ||||
\(528\) | 8.73862e6 | − | 6.34898e6i | 1.36414 | − | 0.991104i | ||||
\(529\) | 1.48355e6 | − | 1.07786e6i | 0.230496 | − | 0.167465i | ||||
\(530\) | 97571.3 | − | 867478.i | 0.0150880 | − | 0.134143i | ||||
\(531\) | 1.88756e6 | + | 1.37139e6i | 0.290512 | + | 0.211070i | ||||
\(532\) | −948182. | −0.145249 | ||||||||
\(533\) | 6.68630e6 | + | 4.85788e6i | 1.01946 | + | 0.740678i | ||||
\(534\) | −644876. | + | 1.98472e6i | −0.0978640 | + | 0.301194i | ||||
\(535\) | 2.21400e6 | + | 3.90011e6i | 0.334421 | + | 0.589105i | ||||
\(536\) | −15622.5 | − | 48081.2i | −0.00234877 | − | 0.00722876i | ||||
\(537\) | −2.75153e6 | + | 8.46833e6i | −0.411754 | + | 1.26725i | ||||
\(538\) | −880648. | + | 2.71035e6i | −0.131174 | + | 0.403711i | ||||
\(539\) | −2.80010e6 | − | 8.61782e6i | −0.415147 | − | 1.27769i | ||||
\(540\) | −616148. | + | 5.47799e6i | −0.0909287 | + | 0.808420i | ||||
\(541\) | −1.10692e6 | + | 3.40674e6i | −0.162600 | + | 0.500432i | −0.998851 | − | 0.0479144i | \(-0.984743\pi\) |
0.836251 | + | 0.548347i | \(0.184743\pi\) | |||||||
\(542\) | 7.25177e6 | + | 5.26872e6i | 1.06034 | + | 0.770383i | ||||
\(543\) | −1.28382e7 | −1.86855 | ||||||||
\(544\) | −8.73621e6 | − | 6.34723e6i | −1.26569 | − | 0.919574i | ||||
\(545\) | −2.13275e6 | + | 437112.i | −0.307573 | + | 0.0630379i | ||||
\(546\) | −3.24877e6 | + | 2.36037e6i | −0.466377 | + | 0.338843i | ||||
\(547\) | 2.25875e6 | − | 1.64108e6i | 0.322775 | − | 0.234510i | −0.414584 | − | 0.910011i | \(-0.636073\pi\) |
0.737359 | + | 0.675501i | \(0.236073\pi\) | |||||||
\(548\) | −1.64782e6 | − | 5.07147e6i | −0.234400 | − | 0.721410i | ||||
\(549\) | −3.03163e6 | −0.429285 | ||||||||
\(550\) | 1.34010e6 | + | 1.48255e7i | 0.188900 | + | 2.08979i | ||||
\(551\) | 487102. | 0.0683503 | ||||||||
\(552\) | −13900.2 | − | 42780.3i | −0.00194166 | − | 0.00597580i | ||||
\(553\) | 2.58113e6 | − | 1.87530e6i | 0.358920 | − | 0.260771i | ||||
\(554\) | −8.68763e6 | + | 6.31193e6i | −1.20262 | + | 0.873752i | ||||
\(555\) | 9.14427e6 | − | 1.00081e7i | 1.26013 | − | 1.37918i | ||||
\(556\) | 889314. | + | 646124.i | 0.122002 | + | 0.0886398i | ||||
\(557\) | −7.47640e6 | −1.02107 | −0.510534 | − | 0.859858i | \(-0.670552\pi\) | ||||
−0.510534 | + | 0.859858i | \(0.670552\pi\) | |||||||
\(558\) | −1.52372e6 | − | 1.10705e6i | −0.207167 | − | 0.150516i | ||||
\(559\) | −3.89735e6 | + | 1.19948e7i | −0.527521 | + | 1.62354i | ||||
\(560\) | −2.25829e6 | + | 462843.i | −0.304306 | + | 0.0623682i | ||||
\(561\) | 4.28204e6 | + | 1.31788e7i | 0.574439 | + | 1.76794i | ||||
\(562\) | 2.68619e6 | − | 8.26724e6i | 0.358753 | − | 1.10413i | ||||
\(563\) | 3.77595e6 | − | 1.16212e7i | 0.502060 | − | 1.54518i | −0.303598 | − | 0.952800i | \(-0.598188\pi\) |
0.805658 | − | 0.592381i | \(-0.201812\pi\) | |||||||
\(564\) | −563397. | − | 1.73396e6i | −0.0745790 | − | 0.229531i | ||||
\(565\) | 9.02284e6 | − | 1.84925e6i | 1.18911 | − | 0.243711i | ||||
\(566\) | −3.33118e6 | + | 1.02523e7i | −0.437076 | + | 1.34518i | ||||
\(567\) | 2.29812e6 | + | 1.66968e6i | 0.300202 | + | 0.218110i | ||||
\(568\) | −44375.0 | −0.00577122 | ||||||||
\(569\) | −7.86430e6 | − | 5.71375e6i | −1.01831 | − | 0.739845i | −0.0523734 | − | 0.998628i | \(-0.516679\pi\) |
−0.965936 | + | 0.258783i | \(0.916679\pi\) | |||||||
\(570\) | −3.94122e6 | + | 4.31354e6i | −0.508093 | + | 0.556092i | ||||
\(571\) | 1.19081e7 | − | 8.65172e6i | 1.52845 | − | 1.11048i | 0.571358 | − | 0.820701i | \(-0.306417\pi\) |
0.957092 | − | 0.289783i | \(-0.0935832\pi\) | |||||||
\(572\) | 1.09341e7 | − | 7.94408e6i | 1.39731 | − | 1.01521i | ||||
\(573\) | 1.15987e6 | + | 3.56970e6i | 0.147578 | + | 0.454198i | ||||
\(574\) | −3.71908e6 | −0.471146 | ||||||||
\(575\) | 6.53674e6 | + | 1.48931e6i | 0.824502 | + | 0.187851i | ||||
\(576\) | −2.18213e6 | −0.274047 | ||||||||
\(577\) | 3.27387e6 | + | 1.00759e7i | 0.409376 | + | 1.25993i | 0.917186 | + | 0.398460i | \(0.130455\pi\) |
−0.507810 | + | 0.861469i | \(0.669545\pi\) | |||||||
\(578\) | 2.08081e6 | − | 1.51179e6i | 0.259067 | − | 0.188223i | ||||
\(579\) | −4.44848e6 | + | 3.23201e6i | −0.551461 | + | 0.400660i | ||||
\(580\) | −1.14406e6 | + | 234477.i | −0.141214 | + | 0.0289421i | ||||
\(581\) | −2.40684e6 | − | 1.74867e6i | −0.295806 | − | 0.214916i | ||||
\(582\) | −1.40053e7 | −1.71389 | ||||||||
\(583\) | 942496. | + | 684763.i | 0.114844 | + | 0.0834390i | ||||
\(584\) | 24048.6 | − | 74014.1i | 0.00291782 | − | 0.00898012i | ||||
\(585\) | −298966. | + | 2.65802e6i | −0.0361187 | + | 0.321121i | ||||
\(586\) | 1.01366e6 | + | 3.11972e6i | 0.121941 | + | 0.375294i | ||||
\(587\) | 3.02111e6 | − | 9.29801e6i | 0.361885 | − | 1.11377i | −0.590024 | − | 0.807386i | \(-0.700882\pi\) |
0.951909 | − | 0.306382i | \(-0.0991184\pi\) | |||||||
\(588\) | −2.63506e6 | + | 8.10987e6i | −0.314302 | + | 0.967321i | ||||
\(589\) | 804692. | + | 2.47659e6i | 0.0955744 | + | 0.294148i | ||||
\(590\) | 7.65405e6 | + | 1.34831e7i | 0.905234 | + | 1.59463i | ||||
\(591\) | 1.31009e6 | − | 4.03205e6i | 0.154289 | − | 0.474851i | ||||
\(592\) | −1.14592e7 | − | 8.32559e6i | −1.34385 | − | 0.976362i | ||||
\(593\) | −8.22879e6 | −0.960947 | −0.480473 | − | 0.877009i | \(-0.659535\pi\) | ||||
−0.480473 | + | 0.877009i | \(0.659535\pi\) | |||||||
\(594\) | −1.19313e7 | − | 8.66857e6i | −1.38746 | − | 1.00805i | ||||
\(595\) | 330546. | − | 2.93879e6i | 0.0382771 | − | 0.340311i | ||||
\(596\) | 9.58412e6 | − | 6.96327e6i | 1.10519 | − | 0.802967i | ||||
\(597\) | 1.05331e7 | − | 7.65276e6i | 1.20954 | − | 0.878784i | ||||
\(598\) | −3.77074e6 | − | 1.16051e7i | −0.431195 | − | 1.32708i | ||||
\(599\) | 1.46865e7 | 1.67244 | 0.836221 | − | 0.548392i | \(-0.184760\pi\) | ||||
0.836221 | + | 0.548392i | \(0.184760\pi\) | |||||||
\(600\) | −33584.4 | + | 56260.3i | −0.00380855 | + | 0.00638005i | ||||
\(601\) | −8.91478e6 | −1.00676 | −0.503378 | − | 0.864066i | \(-0.667910\pi\) | ||||
−0.503378 | + | 0.864066i | \(0.667910\pi\) | |||||||
\(602\) | −1.75378e6 | − | 5.39759e6i | −0.197235 | − | 0.607028i | ||||
\(603\) | 2.30956e6 | − | 1.67799e6i | 0.258664 | − | 0.187930i | ||||
\(604\) | −7.15181e6 | + | 5.19610e6i | −0.797671 | + | 0.579542i | ||||
\(605\) | −9.89131e6 | − | 4.49054e6i | −1.09867 | − | 0.498781i | ||||
\(606\) | 1.23429e7 | + | 8.96764e6i | 1.36532 | + | 0.991966i | ||||
\(607\) | 6.07525e6 | 0.669256 | 0.334628 | − | 0.942350i | \(-0.391389\pi\) | ||||
0.334628 | + | 0.942350i | \(0.391389\pi\) | |||||||
\(608\) | 4.91607e6 | + | 3.57174e6i | 0.539336 | + | 0.391850i | ||||
\(609\) | −143098. | + | 440411.i | −0.0156347 | + | 0.0481188i | ||||
\(610\) | −1.83438e7 | − | 8.32787e6i | −1.99602 | − | 0.906169i | ||||
\(611\) | 714850. | + | 2.20008e6i | 0.0774662 | + | 0.238416i | ||||
\(612\) | 873173. | − | 2.68735e6i | 0.0942370 | − | 0.290032i | ||||
\(613\) | 1.76033e6 | − | 5.41775e6i | 0.189210 | − | 0.582329i | −0.810785 | − | 0.585343i | \(-0.800960\pi\) |
0.999995 | + | 0.00301493i | \(0.000959683\pi\) | |||||||
\(614\) | 220797. | + | 679542.i | 0.0236359 | + | 0.0727437i | ||||
\(615\) | −7.71133e6 | + | 8.43981e6i | −0.822131 | + | 0.899797i | ||||
\(616\) | 8790.40 | − | 27054.1i | 0.000933376 | − | 0.00287264i | ||||
\(617\) | 1.34327e7 | + | 9.75942e6i | 1.42053 | + | 1.03207i | 0.991684 | + | 0.128696i | \(0.0410793\pi\) |
0.428845 | + | 0.903378i | \(0.358921\pi\) | |||||||
\(618\) | 2.69582e6 | 0.283935 | ||||||||
\(619\) | 1.22666e7 | + | 8.91218e6i | 1.28676 | + | 0.934883i | 0.999735 | − | 0.0230412i | \(-0.00733490\pi\) |
0.287021 | + | 0.957924i | \(0.407335\pi\) | |||||||
\(620\) | −3.08214e6 | − | 5.42940e6i | −0.322013 | − | 0.567248i | ||||
\(621\) | −5.37355e6 | + | 3.90411e6i | −0.559155 | + | 0.406250i | ||||
\(622\) | −1.27049e6 | + | 923062.i | −0.131672 | + | 0.0956654i | ||||
\(623\) | 183670. | + | 565279.i | 0.0189592 | + | 0.0583503i | ||||
\(624\) | 1.28974e7 | 1.32599 | ||||||||
\(625\) | −4.63428e6 | − | 8.59598e6i | −0.474550 | − | 0.880228i | ||||
\(626\) | −1.91358e7 | −1.95169 | ||||||||
\(627\) | −2.40961e6 | − | 7.41600e6i | −0.244781 | − | 0.753357i | ||||
\(628\) | −6.39685e6 | + | 4.64758e6i | −0.647242 | + | 0.470249i | ||||
\(629\) | 1.47007e7 | − | 1.06807e7i | 1.48153 | − | 1.07639i | ||||
\(630\) | −594206. | − | 1.04674e6i | −0.0596466 | − | 0.105072i | ||||
\(631\) | 5.90714e6 | + | 4.29179e6i | 0.590614 | + | 0.429106i | 0.842535 | − | 0.538642i | \(-0.181062\pi\) |
−0.251921 | + | 0.967748i | \(0.581062\pi\) | |||||||
\(632\) | −94748.5 | −0.00943582 | ||||||||
\(633\) | −1.83470e6 | − | 1.33299e6i | −0.181993 | − | 0.132226i | ||||
\(634\) | 4.33369e6 | − | 1.33377e7i | 0.428188 | − | 1.31783i | ||||
\(635\) | −701882. | + | 768188.i | −0.0690765 | + | 0.0756020i | ||||
\(636\) | −338782. | − | 1.04266e6i | −0.0332107 | − | 0.102212i | ||||
\(637\) | 3.34342e6 | − | 1.02900e7i | 0.326469 | − | 1.00477i | ||||
\(638\) | 965477. | − | 2.97143e6i | 0.0939053 | − | 0.289011i | ||||
\(639\) | −774323. | − | 2.38312e6i | −0.0750188 | − | 0.230884i | ||||
\(640\) | 124096. | + | 56338.3i | 0.0119759 | + | 0.00543693i | ||||
\(641\) | 1.96048e6 | − | 6.03374e6i | 0.188459 | − | 0.580018i | −0.811532 | − | 0.584309i | \(-0.801366\pi\) |
0.999991 | + | 0.00429075i | \(0.00136579\pi\) | |||||||
\(642\) | 9.13455e6 | + | 6.63664e6i | 0.874681 | + | 0.635493i | ||||
\(643\) | −1.04843e7 | −1.00003 | −0.500015 | − | 0.866017i | \(-0.666672\pi\) | ||||
−0.500015 | + | 0.866017i | \(0.666672\pi\) | |||||||
\(644\) | 2.21597e6 | + | 1.61000e6i | 0.210547 | + | 0.152971i | ||||
\(645\) | −1.58853e7 | − | 7.21173e6i | −1.50347 | − | 0.682559i | ||||
\(646\) | −6.33605e6 | + | 4.60341e6i | −0.597362 | + | 0.434009i | ||||
\(647\) | −1.12328e7 | + | 8.16107e6i | −1.05493 | + | 0.766455i | −0.973145 | − | 0.230195i | \(-0.926064\pi\) |
−0.0817899 | + | 0.996650i | \(0.526064\pi\) | |||||||
\(648\) | −26068.5 | − | 80230.6i | −0.00243881 | − | 0.00750589i | ||||
\(649\) | −2.06910e7 | −1.92828 | ||||||||
\(650\) | −9.11054e6 | + | 1.52619e7i | −0.845787 | + | 1.41685i | ||||
\(651\) | −2.47559e6 | −0.228943 | ||||||||
\(652\) | −3.70848e6 | − | 1.14135e7i | −0.341646 | − | 1.05148i | ||||
\(653\) | −3.64484e6 | + | 2.64813e6i | −0.334499 | + | 0.243028i | −0.742337 | − | 0.670026i | \(-0.766283\pi\) |
0.407838 | + | 0.913054i | \(0.366283\pi\) | |||||||
\(654\) | −4.43432e6 | + | 3.22172e6i | −0.405399 | + | 0.294539i | ||||
\(655\) | 443316. | − | 3.94140e6i | 0.0403748 | − | 0.358961i | ||||
\(656\) | 9.66350e6 | + | 7.02094e6i | 0.876748 | + | 0.636994i | ||||
\(657\) | 4.39450e6 | 0.397188 | ||||||||
\(658\) | −842165. | − | 611868.i | −0.0758285 | − | 0.0550926i | ||||
\(659\) | −4.32891e6 | + | 1.33230e7i | −0.388298 | + | 1.19506i | 0.545762 | + | 0.837941i | \(0.316240\pi\) |
−0.934059 | + | 0.357118i | \(0.883760\pi\) | |||||||
\(660\) | 9.22929e6 | + | 1.62580e7i | 0.824724 | + | 1.45281i | ||||
\(661\) | 3.50009e6 | + | 1.07722e7i | 0.311585 | + | 0.958959i | 0.977138 | + | 0.212608i | \(0.0681958\pi\) |
−0.665553 | + | 0.746351i | \(0.731804\pi\) | |||||||
\(662\) | 163228. | − | 502364.i | 0.0144760 | − | 0.0445527i | ||||
\(663\) | −5.11291e6 | + | 1.57359e7i | −0.451736 | + | 1.39030i | ||||
\(664\) | 27301.8 | + | 84026.4i | 0.00240310 | + | 0.00739598i | ||||
\(665\) | −186006. | + | 1.65373e6i | −0.0163107 | + | 0.145014i | ||||
\(666\) | 2.28538e6 | − | 7.03368e6i | 0.199652 | − | 0.614464i | ||||
\(667\) | −1.13839e6 | − | 827090.i | −0.0990779 | − | 0.0719843i | ||||
\(668\) | −1.74165e7 | −1.51015 | ||||||||
\(669\) | 9.68537e6 | + | 7.03684e6i | 0.836664 | + | 0.607872i | ||||
\(670\) | 1.85841e7 | − | 3.80886e6i | 1.59939 | − | 0.327799i | ||||
\(671\) | 2.17507e7 | − | 1.58028e7i | 1.86495 | − | 1.35496i | ||||
\(672\) | −4.67358e6 | + | 3.39556e6i | −0.399233 | + | 0.290060i | ||||
\(673\) | −1.29414e6 | − | 3.98296e6i | −0.110140 | − | 0.338976i | 0.880763 | − | 0.473558i | \(-0.157031\pi\) |
−0.990902 | + | 0.134583i | \(0.957031\pi\) | |||||||
\(674\) | 2.31573e7 | 1.96354 | ||||||||
\(675\) | 9.43330e6 | + | 2.14925e6i | 0.796901 | + | 0.181563i | ||||
\(676\) | 4.31168e6 | 0.362894 | ||||||||
\(677\) | 3.60244e6 | + | 1.10872e7i | 0.302082 | + | 0.929712i | 0.980750 | + | 0.195267i | \(0.0625574\pi\) |
−0.678668 | + | 0.734445i | \(0.737443\pi\) | |||||||
\(678\) | 1.87599e7 | − | 1.36299e7i | 1.56731 | − | 1.13872i | ||||
\(679\) | −3.22710e6 | + | 2.34462e6i | −0.268619 | + | 0.195163i | ||||
\(680\) | −59240.3 | + | 64836.7i | −0.00491298 | + | 0.00537710i | ||||
\(681\) | −6.39753e6 | − | 4.64807e6i | −0.528621 | − | 0.384066i | ||||
\(682\) | 1.67027e7 | 1.37508 | ||||||||
\(683\) | −5.51942e6 | − | 4.01009e6i | −0.452732 | − | 0.328929i | 0.337941 | − | 0.941167i | \(-0.390269\pi\) |
−0.790674 | + | 0.612238i | \(0.790269\pi\) | |||||||
\(684\) | −491355. | + | 1.51223e6i | −0.0401564 | + | 0.123589i | ||||
\(685\) | −9.16841e6 | + | 1.87909e6i | −0.746565 | + | 0.153010i | ||||
\(686\) | 3.16808e6 | + | 9.75035e6i | 0.257031 | + | 0.791061i | ||||
\(687\) | −3.01185e6 | + | 9.26951e6i | −0.243467 | + | 0.749316i | ||||
\(688\) | −5.63271e6 | + | 1.73357e7i | −0.453676 | + | 1.39627i | ||||
\(689\) | 429855. | + | 1.32296e6i | 0.0344964 | + | 0.106169i | ||||
\(690\) | 1.65352e7 | − | 3.38893e6i | 1.32217 | − | 0.270982i | ||||
\(691\) | −1.84437e6 | + | 5.67639e6i | −0.146944 | + | 0.452248i | −0.997256 | − | 0.0740313i | \(-0.976414\pi\) |
0.850312 | + | 0.526280i | \(0.176414\pi\) | |||||||
\(692\) | −2.31829e6 | − | 1.68433e6i | −0.184036 | − | 0.133710i | ||||
\(693\) | 1.60630e6 | 0.127056 | ||||||||
\(694\) | 2.62986e6 | + | 1.91071e6i | 0.207269 | + | 0.150590i | ||||
\(695\) | 1.30136e6 | − | 1.42430e6i | 0.102197 | − | 0.111851i | ||||
\(696\) | 11125.7 | − | 8083.31i | 0.000870573 | − | 0.000632508i | ||||
\(697\) | −1.23970e7 | + | 9.00696e6i | −0.966575 | + | 0.702258i | ||||
\(698\) | −2.78789e6 | − | 8.58023e6i | −0.216589 | − | 0.666592i | ||||
\(699\) | −1.53590e7 | −1.18897 | ||||||||
\(700\) | −359185. | − | 3.97364e6i | −0.0277059 | − | 0.306509i | ||||
\(701\) | 2.21680e7 | 1.70385 | 0.851924 | − | 0.523665i | \(-0.175436\pi\) | ||||
0.851924 | + | 0.523665i | \(0.175436\pi\) | |||||||
\(702\) | −5.44163e6 | − | 1.67476e7i | −0.416760 | − | 1.28266i | ||||
\(703\) | −8.27242e6 | + | 6.01026e6i | −0.631312 | + | 0.458675i | ||||
\(704\) | 1.56559e7 | − | 1.13747e7i | 1.19055 | − | 0.864982i | ||||
\(705\) | −3.13472e6 | + | 642468.i | −0.237534 | + | 0.0486832i | ||||
\(706\) | −1.91171e7 | − | 1.38894e7i | −1.44348 | − | 1.04875i | ||||
\(707\) | 4.34533e6 | 0.326944 | ||||||||
\(708\) | 1.57527e7 | + | 1.14450e7i | 1.18106 | + | 0.858092i | ||||
\(709\) | 6.68355e6 | − | 2.05698e7i | 0.499334 | − | 1.53679i | −0.310757 | − | 0.950489i | \(-0.600582\pi\) |
0.810091 | − | 0.586304i | \(-0.199418\pi\) | |||||||
\(710\) | 1.86114e6 | − | 1.65469e7i | 0.138559 | − | 1.23188i | ||||
\(711\) | −1.65332e6 | − | 5.08839e6i | −0.122654 | − | 0.377491i | ||||
\(712\) | 5454.54 | − | 16787.4i | 0.000403235 | − | 0.00124103i | ||||
\(713\) | 2.32458e6 | − | 7.15432e6i | 0.171246 | − | 0.527041i | ||||
\(714\) | −2.30078e6 | − | 7.08107e6i | −0.168900 | − | 0.519820i | ||||
\(715\) | −1.17103e7 | − | 2.06286e7i | −0.856651 | − | 1.50905i | ||||
\(716\) | −4.97579e6 | + | 1.53139e7i | −0.362727 | + | 1.11636i | ||||
\(717\) | 438706. | + | 318738.i | 0.0318695 | + | 0.0231546i | ||||
\(718\) | 3.32479e7 | 2.40687 | ||||||||
\(719\) | −7.15419e6 | − | 5.19782e6i | −0.516105 | − | 0.374972i | 0.299030 | − | 0.954244i | \(-0.403337\pi\) |
−0.815135 | + | 0.579272i | \(0.803337\pi\) | |||||||
\(720\) | −432086. | + | 3.84155e6i | −0.0310627 | + | 0.276169i | ||||
\(721\) | 621171. | − | 451307.i | 0.0445014 | − | 0.0323321i | ||||
\(722\) | −1.24415e7 | + | 9.03931e6i | −0.888242 | + | 0.645345i | ||||
\(723\) | −243168. | − | 748394.i | −0.0173006 | − | 0.0532457i | ||||
\(724\) | −2.32162e7 | −1.64606 | ||||||||
\(725\) | 184521. | + | 2.04135e6i | 0.0130377 | + | 0.144235i | ||||
\(726\) | −2.73490e7 | −1.92575 | ||||||||
\(727\) | 2.72323e6 | + | 8.38123e6i | 0.191094 | + | 0.588128i | 1.00000 | 0.000189372i | \(6.02790e-5\pi\) | |
−0.808906 | + | 0.587938i | \(0.799940\pi\) | |||||||
\(728\) | 27479.0 | − | 19964.7i | 0.00192164 | − | 0.00139616i | ||||
\(729\) | −6.86635e6 | + | 4.98870e6i | −0.478528 | + | 0.347671i | ||||
\(730\) | 2.65903e7 | + | 1.20717e7i | 1.84678 | + | 0.838417i | ||||
\(731\) | −1.89180e7 | − | 1.37447e7i | −1.30943 | − | 0.951357i | ||||
\(732\) | −2.53007e7 | −1.74524 | ||||||||
\(733\) | 1.69813e7 | + | 1.23376e7i | 1.16738 | + | 0.848148i | 0.990692 | − | 0.136119i | \(-0.0434631\pi\) |
0.176684 | + | 0.984268i | \(0.443463\pi\) | |||||||
\(734\) | −1.12197e6 | + | 3.45306e6i | −0.0768669 | + | 0.236572i | ||||
\(735\) | 1.36275e7 | + | 6.18673e6i | 0.930462 | + | 0.422419i | ||||
\(736\) | −5.42447e6 | − | 1.66948e7i | −0.369116 | − | 1.13602i | ||||
\(737\) | −7.82334e6 | + | 2.40778e7i | −0.530546 | + | 1.63285i | ||||
\(738\) | −1.92725e6 | + | 5.93147e6i | −0.130256 | + | 0.400887i | ||||
\(739\) | 3.19251e6 | + | 9.82555e6i | 0.215041 | + | 0.661829i | 0.999151 | + | 0.0412062i | \(0.0131201\pi\) |
−0.784109 | + | 0.620623i | \(0.786880\pi\) | |||||||
\(740\) | 1.65362e7 | − | 1.80984e7i | 1.11009 | − | 1.21496i | ||||
\(741\) | 2.87716e6 | − | 8.85498e6i | 0.192494 | − | 0.592437i | ||||
\(742\) | −506411. | − | 367929.i | −0.0337671 | − | 0.0245332i | ||||
\(743\) | 4.90449e6 | 0.325928 | 0.162964 | − | 0.986632i | \(-0.447895\pi\) | ||||
0.162964 | + | 0.986632i | \(0.447895\pi\) | |||||||
\(744\) | 59478.0 | + | 43213.3i | 0.00393934 | + | 0.00286210i | ||||
\(745\) | −1.02645e7 | − | 1.80817e7i | −0.677560 | − | 1.19357i | ||||
\(746\) | −2.44213e7 | + | 1.77431e7i | −1.60665 | + | 1.16730i | ||||
\(747\) | −4.03617e6 | + | 2.93245e6i | −0.264647 | + | 0.192278i | ||||
\(748\) | 7.74353e6 | + | 2.38321e7i | 0.506040 | + | 1.55743i | ||||
\(749\) | 3.21582e6 | 0.209454 | ||||||||
\(750\) | −1.95702e7 | − | 1.48828e7i | −1.27040 | − | 0.966122i | ||||
\(751\) | −1.91339e7 | −1.23795 | −0.618975 | − | 0.785410i | \(-0.712452\pi\) | ||||
−0.618975 | + | 0.785410i | \(0.712452\pi\) | |||||||
\(752\) | 1.03315e6 | + | 3.17971e6i | 0.0666221 | + | 0.205042i | ||||
\(753\) | 1.12707e7 | − | 8.18866e6i | 0.724377 | − | 0.526290i | ||||
\(754\) | 3.01811e6 | − | 2.19278e6i | 0.193333 | − | 0.140465i | ||||
\(755\) | 7.65954e6 | + | 1.34928e7i | 0.489030 | + | 0.861460i | ||||
\(756\) | 3.19791e6 | + | 2.32342e6i | 0.203499 | + | 0.147851i | ||||
\(757\) | 1.09544e7 | 0.694782 | 0.347391 | − | 0.937720i | \(-0.387068\pi\) | ||||
0.347391 | + | 0.937720i | \(0.387068\pi\) | |||||||
\(758\) | −2.95109e7 | − | 2.14409e7i | −1.86556 | − | 1.35541i | ||||
\(759\) | −6.96082e6 | + | 2.14232e7i | −0.438587 | + | 1.34983i | ||||
\(760\) | 33335.9 | − | 36485.1i | 0.00209353 | − | 0.00229130i | ||||
\(761\) | −7.81379e6 | − | 2.40484e7i | −0.489103 | − | 1.50530i | −0.825949 | − | 0.563744i | \(-0.809360\pi\) |
0.336847 | − | 0.941560i | \(-0.390640\pi\) | |||||||
\(762\) | −809546. | + | 2.49153e6i | −0.0505073 | + | 0.155445i | ||||
\(763\) | −482408. | + | 1.48470e6i | −0.0299987 | + | 0.0923266i | ||||
\(764\) | 2.09747e6 | + | 6.45535e6i | 0.130006 | + | 0.400117i | ||||
\(765\) | −4.51572e6 | − | 2.05008e6i | −0.278980 | − | 0.126654i | ||||
\(766\) | 274345. | − | 844348.i | 0.0168937 | − | 0.0519936i | ||||
\(767\) | −1.99874e7 | − | 1.45217e7i | −1.22679 | − | 0.891312i | ||||
\(768\) | 1.86394e7 | 1.14033 | ||||||||
\(769\) | 8.76511e6 | + | 6.36823e6i | 0.534493 | + | 0.388332i | 0.822036 | − | 0.569436i | \(-0.192838\pi\) |
−0.287543 | + | 0.957768i | \(0.592838\pi\) | |||||||
\(770\) | 9.71943e6 | + | 4.41251e6i | 0.590764 | + | 0.268200i | ||||
\(771\) | 1.24801e7 | − | 9.06731e6i | 0.756104 | − | 0.549342i | ||||
\(772\) | −8.04451e6 | + | 5.84468e6i | −0.485799 | + | 0.352953i | ||||
\(773\) | −1.38774e6 | − | 4.27103e6i | −0.0835333 | − | 0.257089i | 0.900563 | − | 0.434726i | \(-0.143155\pi\) |
−0.984096 | + | 0.177637i | \(0.943155\pi\) | |||||||
\(774\) | −9.51732e6 | −0.571034 | ||||||||
\(775\) | −1.00741e7 | + | 4.31047e6i | −0.602491 | + | 0.257793i | ||||
\(776\) | 118461. | 0.00706186 | ||||||||
\(777\) | −3.00392e6 | − | 9.24512e6i | −0.178499 | − | 0.549364i | ||||
\(778\) | −3.79964e6 | + | 2.76060e6i | −0.225057 | + | 0.163514i | ||||
\(779\) | 6.97610e6 | − | 5.06843e6i | 0.411878 | − | 0.299247i | ||||
\(780\) | −2.49504e6 | + | 2.21827e7i | −0.146839 | + | 1.30550i | ||||
\(781\) | 1.79778e7 | + | 1.30616e7i | 1.05465 | + | 0.766249i | ||||
\(782\) | 2.26243e7 | 1.32300 | ||||||||
\(783\) | −1.64284e6 | − | 1.19359e6i | −0.0957613 | − | 0.0695746i | ||||
\(784\) | 4.83214e6 | − | 1.48718e7i | 0.280769 | − | 0.864118i | ||||
\(785\) | 6.85097e6 | + | 1.20685e7i | 0.396806 | + | 0.699001i | ||||
\(786\) | −3.08572e6 | − | 9.49688e6i | −0.178156 | − | 0.548308i | ||||
\(787\) | 4.48609e6 | − | 1.38068e7i | 0.258185 | − | 0.794612i | −0.735000 | − | 0.678067i | \(-0.762818\pi\) |
0.993185 | − | 0.116545i | \(-0.0371821\pi\) | |||||||
\(788\) | 2.36914e6 | − | 7.29146e6i | 0.135917 | − | 0.418311i | ||||
\(789\) | −6.06099e6 | − | 1.86538e7i | −0.346618 | − | 1.06678i | ||||
\(790\) | 3.97387e6 | − | 3.53305e7i | 0.226540 | − | 2.01410i | ||||
\(791\) | 2.04088e6 | − | 6.28119e6i | 0.115978 | − | 0.356945i | ||||
\(792\) | −38592.7 | − | 28039.2i | −0.00218621 | − | 0.00158837i | ||||
\(793\) | 3.21021e7 | 1.81280 | ||||||||
\(794\) | 8.06006e6 | + | 5.85597e6i | 0.453719 | + | 0.329646i | ||||
\(795\) | −1.88497e6 | + | 386330.i | −0.105776 | + | 0.0216791i | ||||
\(796\) | 1.90478e7 | − | 1.38390e7i | 1.06552 | − | 0.774147i | ||||
\(797\) | 1.08565e6 | − | 788774.i | 0.0605404 | − | 0.0439852i | −0.557103 | − | 0.830443i | \(-0.688087\pi\) |
0.617644 | + | 0.786458i | \(0.288087\pi\) | |||||||
\(798\) | 1.29470e6 | + | 3.98469e6i | 0.0719719 | + | 0.221507i | ||||
\(799\) | −4.28908e6 | −0.237682 | ||||||||
\(800\) | −1.31062e7 | + | 2.19553e7i | −0.724019 | + | 1.21287i | ||||
\(801\) | 996731. | 0.0548904 | ||||||||
\(802\) | 1.30191e6 | + | 4.00687e6i | 0.0714735 | + | 0.219973i | ||||
\(803\) | −3.15287e7 | + | 2.29069e7i | −1.72551 | + | 1.25366i | ||||
\(804\) | 1.92745e7 | − | 1.40038e7i | 1.05158 | − | 0.764020i | ||||
\(805\) | 3.24271e6 | − | 3.54904e6i | 0.176367 | − | 0.193028i | ||||
\(806\) | 1.61348e7 | + | 1.17226e7i | 0.874833 | + | 0.635603i | ||||
\(807\) | 6.28161e6 | 0.339537 | ||||||||
\(808\) | −104400. | − | 75850.9i | −0.00562563 | − | 0.00408726i | ||||
\(809\) | 4.70715e6 | − | 1.44871e7i | 0.252864 | − | 0.778234i | −0.741379 | − | 0.671086i | \(-0.765828\pi\) |
0.994243 | − | 0.107148i | \(-0.0341719\pi\) | |||||||
\(810\) | 3.10103e7 | − | 6.35564e6i | 1.66071 | − | 0.340366i | ||||
\(811\) | −2.87794e6 | − | 8.85737e6i | −0.153649 | − | 0.472882i | 0.844373 | − | 0.535756i | \(-0.179973\pi\) |
−0.998021 | + | 0.0628741i | \(0.979973\pi\) | |||||||
\(812\) | −258775. | + | 796426.i | −0.0137731 | + | 0.0423892i | ||||
\(813\) | 6.10549e6 | − | 1.87908e7i | 0.323962 | − | 0.997052i | ||||
\(814\) | 2.02674e7 | + | 6.23765e7i | 1.07210 | + | 3.29959i | ||||
\(815\) | −2.06338e7 | + | 4.22895e6i | −1.08814 | + | 0.223018i | ||||
\(816\) | −7.38952e6 | + | 2.27426e7i | −0.388500 | + | 1.19568i | ||||
\(817\) | 1.06456e7 | + | 7.73450e6i | 0.557976 | + | 0.405394i | ||||
\(818\) | −3.73140e7 | −1.94979 | ||||||||
\(819\) | 1.55168e6 | + | 1.12736e6i | 0.0808339 | + | 0.0587292i | ||||
\(820\) | −1.39450e7 | + | 1.52623e7i | −0.724240 | + | 0.792658i | ||||
\(821\) | −1.62092e7 | + | 1.17767e7i | −0.839275 | + | 0.609769i | −0.922168 | − | 0.386790i | \(-0.873584\pi\) |
0.0828933 | + | 0.996558i | \(0.473584\pi\) | |||||||
\(822\) | −1.90625e7 | + | 1.38497e7i | −0.984014 | + | 0.714928i | ||||
\(823\) | −2.01912e6 | − | 6.21422e6i | −0.103911 | − | 0.319806i | 0.885562 | − | 0.464521i | \(-0.153774\pi\) |
−0.989473 | + | 0.144715i | \(0.953774\pi\) | |||||||
\(824\) | −22802.0 | −0.00116992 | ||||||||
\(825\) | 3.01662e7 | − | 1.29075e7i | 1.54307 | − | 0.660246i | ||||
\(826\) | 1.11175e7 | 0.566964 | ||||||||
\(827\) | −647127. | − | 1.99165e6i | −0.0329023 | − | 0.101263i | 0.933257 | − | 0.359210i | \(-0.116954\pi\) |
−0.966159 | + | 0.257947i | \(0.916954\pi\) | |||||||
\(828\) | 3.71608e6 | − | 2.69989e6i | 0.188369 | − | 0.136858i | ||||
\(829\) | −1.60410e7 | + | 1.16545e7i | −0.810674 | + | 0.588989i | −0.914026 | − | 0.405656i | \(-0.867043\pi\) |
0.103352 | + | 0.994645i | \(0.467043\pi\) | |||||||
\(830\) | −3.24774e7 | + | 6.65633e6i | −1.63639 | + | 0.335382i | ||||
\(831\) | 1.91493e7 | + | 1.39128e7i | 0.961945 | + | 0.698894i | ||||
\(832\) | 2.31067e7 | 1.15726 | ||||||||
\(833\) | 1.62292e7 | + | 1.17912e7i | 0.810373 | + | 0.588771i | ||||
\(834\) | 1.50098e6 | − | 4.61955e6i | 0.0747241 | − | 0.229977i | ||||
\(835\) | −3.41663e6 | + | 3.03762e7i | −0.169583 | + | 1.50771i | ||||
\(836\) | −4.35747e6 | − | 1.34109e7i | −0.215634 | − | 0.663655i | ||||
\(837\) | 3.35465e6 | − | 1.03245e7i | 0.165513 | − | 0.509398i | ||||
\(838\) | −6.64850e6 | + | 2.04620e7i | −0.327050 | + | 1.00656i | ||||
\(839\) | −9.13318e6 | − | 2.81090e7i | −0.447937 | − | 1.37861i | −0.879230 | − | 0.476397i | \(-0.841942\pi\) |
0.431293 | − | 0.902212i | \(-0.358058\pi\) | |||||||
\(840\) | 23194.6 | + | 40858.9i | 0.00113420 | + | 0.00199797i | ||||
\(841\) | −6.20536e6 | + | 1.90981e7i | −0.302536 | + | 0.931109i | ||||
\(842\) | 3.50942e7 | + | 2.54974e7i | 1.70591 | + | 1.23941i | ||||
\(843\) | −1.91604e7 | −0.928617 | ||||||||
\(844\) | −3.31782e6 | − | 2.41053e6i | −0.160323 | − | 0.116482i | ||||
\(845\) | 845828. | − | 7.52001e6i | 0.0407512 | − | 0.362307i | ||||
\(846\) | −1.41227e6 | + | 1.02608e6i | −0.0678410 | + | 0.0492894i | ||||
\(847\) | −6.30175e6 | + | 4.57849e6i | −0.301823 | + | 0.219288i | ||||
\(848\) | 621255. | + | 1.91203e6i | 0.0296674 | + | 0.0913070i | ||||
\(849\) | 2.37611e7 | 1.13135 | ||||||||
\(850\) | −2.16922e7 | − | 2.48093e7i | −1.02981 | − | 1.17779i | ||||
\(851\) | 2.95385e7 | 1.39819 | ||||||||
\(852\) | −6.46216e6 | − | 1.98885e7i | −0.304985 | − | 0.938648i | ||||
\(853\) | −2.75289e7 | + | 2.00009e7i | −1.29544 | + | 0.941190i | −0.999900 | − | 0.0141408i | \(-0.995499\pi\) |
−0.295537 | + | 0.955331i | \(0.595499\pi\) | |||||||
\(854\) | −1.16868e7 | + | 8.49098e6i | −0.548343 | + | 0.398395i | ||||
\(855\) | 2.54110e6 | + | 1.15363e6i | 0.118879 | + | 0.0539698i | ||||
\(856\) | −77262.6 | − | 56134.6i | −0.00360400 | − | 0.00261846i | ||||
\(857\) | −2.77390e7 | −1.29015 | −0.645074 | − | 0.764120i | \(-0.723173\pi\) | ||||
−0.645074 | + | 0.764120i | \(0.723173\pi\) | |||||||
\(858\) | −4.83146e7 | − | 3.51026e7i | −2.24058 | − | 1.62788i | ||||
\(859\) | 1.05564e7 | − | 3.24893e7i | 0.488127 | − | 1.50230i | −0.339273 | − | 0.940688i | \(-0.610181\pi\) |
0.827400 | − | 0.561613i | \(-0.189819\pi\) | |||||||
\(860\) | −2.87265e7 | − | 1.30415e7i | −1.32445 | − | 0.601286i | ||||
\(861\) | 2.53320e6 | + | 7.79638e6i | 0.116456 | + | 0.358414i | ||||
\(862\) | 6.73861e6 | − | 2.07393e7i | 0.308889 | − | 0.950662i | ||||
\(863\) | 7.50990e6 | − | 2.31131e7i | 0.343247 | − | 1.05641i | −0.619268 | − | 0.785180i | \(-0.712571\pi\) |
0.962515 | − | 0.271227i | \(-0.0874295\pi\) | |||||||
\(864\) | −7.82816e6 | − | 2.40926e7i | −0.356759 | − | 1.09799i | ||||
\(865\) | −3.39243e6 | + | 3.71291e6i | −0.154160 | + | 0.168723i | ||||
\(866\) | 1.15411e6 | − | 3.55198e6i | 0.0522940 | − | 0.160945i | ||||
\(867\) | −4.58652e6 | − | 3.33230e6i | −0.207222 | − | 0.150555i | ||||
\(868\) | −4.47679e6 | −0.201682 | ||||||||
\(869\) | 3.83858e7 | + | 2.78889e7i | 1.72433 | + | 1.25280i | ||||
\(870\) | 2.54754e6 | + | 4.48766e6i | 0.114110 | + | 0.201012i | ||||
\(871\) | −2.44560e7 | + | 1.77683e7i | −1.09229 | + | 0.793598i | ||||
\(872\) | 37506.7 | − | 27250.2i | 0.00167039 | − | 0.00121361i | ||||
\(873\) | 2.06708e6 | + | 6.36183e6i | 0.0917957 | + | 0.282518i | ||||
\(874\) | −1.27312e7 | −0.563757 | ||||||||
\(875\) | −7.00090e6 | − | 153060.i | −0.309125 | − | 0.00675836i | ||||
\(876\) | 3.66746e7 | 1.61475 | ||||||||
\(877\) | −2.24148e6 | − | 6.89856e6i | −0.0984091 | − | 0.302872i | 0.889718 | − | 0.456511i | \(-0.150901\pi\) |
−0.988127 | + | 0.153638i | \(0.950901\pi\) | |||||||
\(878\) | 2.44540e7 | − | 1.77668e7i | 1.07056 | − | 0.777811i | ||||
\(879\) | 5.84950e6 | − | 4.24991e6i | 0.255356 | − | 0.185527i | ||||
\(880\) | −1.69246e7 | − | 2.98138e7i | −0.736734 | − | 1.29781i | ||||
\(881\) | 3.63932e6 | + | 2.64412e6i | 0.157972 | + | 0.114774i | 0.663963 | − | 0.747765i | \(-0.268873\pi\) |
−0.505991 | + | 0.862539i | \(0.668873\pi\) | |||||||
\(882\) | 8.16463e6 | 0.353399 | ||||||||
\(883\) | 7.80394e6 | + | 5.66990e6i | 0.336831 | + | 0.244722i | 0.743324 | − | 0.668932i | \(-0.233248\pi\) |
−0.406492 | + | 0.913654i | \(0.633248\pi\) | |||||||
\(884\) | −9.24605e6 | + | 2.84564e7i | −0.397947 | + | 1.22476i | ||||
\(885\) | 2.30515e7 | − | 2.52292e7i | 0.989331 | − | 1.08279i | ||||
\(886\) | −1.11965e7 | − | 3.44592e7i | −0.479178 | − | 1.47476i | ||||
\(887\) | 9.97344e6 | − | 3.06951e7i | 0.425633 | − | 1.30996i | −0.476753 | − | 0.879037i | \(-0.658186\pi\) |
0.902386 | − | 0.430928i | \(-0.141814\pi\) | |||||||
\(888\) | −89208.9 | + | 274557.i | −0.00379643 | + | 0.0116842i | ||||
\(889\) | 230571. | + | 709624.i | 0.00978475 | + | 0.0301144i | ||||
\(890\) | 6.03102e6 | + | 2.73801e6i | 0.255221 | + | 0.115867i | ||||
\(891\) | −1.30544e7 | + | 4.01773e7i | −0.550886 | + | 1.69545i | ||||
\(892\) | 1.75148e7 | + | 1.27252e7i | 0.737042 | + | 0.535492i | ||||
\(893\) | 2.41357e6 | 0.101282 | ||||||||
\(894\) | −4.23495e7 | − | 3.07687e7i | −1.77217 | − | 1.28755i | ||||
\(895\) | 2.57329e7 | + | 1.16824e7i | 1.07382 | + | 0.487501i | ||||
\(896\) | 79061.8 | − | 57441.8i | 0.00329001 | − | 0.00239033i | ||||
\(897\) | −2.17597e7 | + | 1.58094e7i | −0.902967 | + | 0.656044i | ||||
\(898\) | 7.48005e6 | + | 2.30212e7i | 0.309538 | + | 0.952660i | ||||
\(899\) | 2.29983e6 | 0.0949065 | ||||||||
\(900\) | −6.52361e6 | − | 1.48631e6i | −0.268461 | − | 0.0611652i | ||||
\(901\) | −2.57911e6 | −0.105842 | ||||||||
\(902\) | −1.70914e7 | − | 5.26019e7i | −0.699457 | − | 2.15271i | ||||
\(903\) | −1.01205e7 | + | 7.35298e6i | −0.413032 | + | 0.300085i | ||||
\(904\) | −158677. | + | 115285.i | −0.00645791 | + | 0.00469194i | ||||
\(905\) | −4.55435e6 | + | 4.04914e7i | −0.184844 | + | 1.64339i | ||||
\(906\) | 3.16018e7 | + | 2.29601e7i | 1.27906 | + | 0.929293i | ||||
\(907\) | 4.20725e7 | 1.69817 | 0.849083 | − | 0.528259i | \(-0.177155\pi\) | ||||
0.849083 | + | 0.528259i | \(0.177155\pi\) | |||||||
\(908\) | −1.15691e7 | − | 8.40545e6i | −0.465678 | − | 0.338335i | ||||
\(909\) | 2.25178e6 | − | 6.93027e6i | 0.0903892 | − | 0.278189i | ||||
\(910\) | 6.29207e6 | + | 1.10839e7i | 0.251878 | + | 0.443700i | ||||
\(911\) | −1.02920e6 | − | 3.16755e6i | −0.0410869 | − | 0.126453i | 0.928409 | − | 0.371560i | \(-0.121177\pi\) |
−0.969496 | + | 0.245107i | \(0.921177\pi\) | |||||||
\(912\) | 4.15826e6 | − | 1.27978e7i | 0.165548 | − | 0.509505i | ||||
\(913\) | 1.36720e7 | − | 4.20781e7i | 0.542819 | − | 1.67063i | ||||
\(914\) | −3.32854e6 | − | 1.02442e7i | −0.131792 | − | 0.405614i | ||||
\(915\) | −4.96326e6 | + | 4.41269e7i | −0.195981 | + | 1.74241i | ||||
\(916\) | −5.44654e6 | + | 1.67627e7i | −0.214478 | + | 0.660094i | ||||
\(917\) | −2.30089e6 | − | 1.67169e6i | −0.0903591 | − | 0.0656497i | ||||
\(918\) | 3.26496e7 | 1.27871 | ||||||||
\(919\) | −2.92049e7 | − | 2.12186e7i | −1.14069 | − | 0.828758i | −0.153472 | − | 0.988153i | \(-0.549046\pi\) |
−0.987215 | + | 0.159395i | \(0.949046\pi\) | |||||||
\(920\) | −139860. | + | 28664.6i | −0.00544782 | + | 0.00111654i | ||||
\(921\) | 1.27415e6 | − | 925721.i | 0.0494960 | − | 0.0359610i | ||||
\(922\) | 9.15185e6 | − | 6.64921e6i | 0.354553 | − | 0.257598i | ||||
\(923\) | 8.19933e6 | + | 2.52350e7i | 0.316792 | + | 0.974986i | ||||
\(924\) | 1.34055e7 | 0.516539 | ||||||||
\(925\) | −2.83215e7 | − | 3.23913e7i | −1.08833 | − | 1.24473i | ||||
\(926\) | −2.16502e7 | −0.829724 | ||||||||
\(927\) | −397885. | − | 1.22456e6i | −0.0152075 | − | 0.0468039i | ||||
\(928\) | 4.34176e6 | − | 3.15447e6i | 0.165499 | − | 0.120242i | ||||
\(929\) | −3.88075e7 | + | 2.81953e7i | −1.47529 | + | 1.07186i | −0.496250 | + | 0.868179i | \(0.665290\pi\) |
−0.979038 | + | 0.203680i | \(0.934710\pi\) | |||||||
\(930\) | −1.86083e7 | + | 2.03662e7i | −0.705502 | + | 0.772150i | ||||
\(931\) | −9.13256e6 | − | 6.63520e6i | −0.345317 | − | 0.250888i | ||||
\(932\) | −2.77749e7 | −1.04740 | ||||||||
\(933\) | 2.80041e6 | + | 2.03462e6i | 0.105322 | + | 0.0765206i | ||||
\(934\) | −1.78534e7 | + | 5.49471e7i | −0.669659 | + | 2.06100i | ||||
\(935\) | 4.30847e7 | − | 8.83032e6i | 1.61174 | − | 0.330329i | ||||
\(936\) | −17601.4 | − | 54171.5i | −0.000656686 | − | 0.00202107i | ||||
\(937\) | 1.01106e7 | − | 3.11173e7i | 0.376209 | − | 1.15785i | −0.566450 | − | 0.824096i | \(-0.691684\pi\) |
0.942659 | − | 0.333756i | \(-0.108316\pi\) | |||||||
\(938\) | 4.20355e6 | − | 1.29372e7i | 0.155994 | − | 0.480102i | ||||
\(939\) | 1.30341e7 | + | 4.01147e7i | 0.482410 | + | 1.48470i | ||||
\(940\) | −5.66874e6 | + | 1.16182e6i | −0.209251 | + | 0.0428865i | ||||
\(941\) | −5.43518e6 | + | 1.67278e7i | −0.200097 | + | 0.615835i | 0.799782 | + | 0.600290i | \(0.204948\pi\) |
−0.999879 | + | 0.0155446i | \(0.995052\pi\) | |||||||
\(942\) | 2.82658e7 | + | 2.05363e7i | 1.03785 | + | 0.754042i | ||||
\(943\) | −2.49097e7 | −0.912200 | ||||||||
\(944\) | −2.88872e7 | − | 2.09878e7i | −1.05505 | − | 0.766542i | ||||
\(945\) | 4.67962e6 | − | 5.12169e6i | 0.170463 | − | 0.186567i | ||||
\(946\) | 6.82827e7 | − | 4.96103e7i | 2.48075 | − | 1.80237i | ||||
\(947\) | 1.17178e7 | − | 8.51347e6i | 0.424591 | − | 0.308483i | −0.354891 | − | 0.934908i | \(-0.615482\pi\) |
0.779482 | + | 0.626424i | \(0.215482\pi\) | |||||||
\(948\) | −1.37979e7 | − | 4.24654e7i | −0.498644 | − | 1.53467i | ||||
\(949\) | −4.65335e7 | −1.67726 | ||||||||
\(950\) | 1.22067e7 | + | 1.39608e7i | 0.438822 | + | 0.501880i | ||||
\(951\) | −3.09120e7 | −1.10835 | ||||||||
\(952\) | 19460.6 | + | 59893.7i | 0.000695929 | + | 0.00214185i | ||||
\(953\) | 3.55276e7 | − | 2.58123e7i | 1.26716 | − | 0.920649i | 0.268079 | − | 0.963397i | \(-0.413611\pi\) |
0.999086 | + | 0.0427480i | \(0.0136113\pi\) | |||||||
\(954\) | −849229. | + | 617001.i | −0.0302102 | + | 0.0219490i | ||||
\(955\) | 1.16703e7 | − | 2.39185e6i | 0.414068 | − | 0.0848643i | ||||
\(956\) | 793344. | + | 576398.i | 0.0280748 | + | 0.0203975i | ||||
\(957\) | −6.88670e6 | −0.243070 | ||||||||
\(958\) | 1.77335e7 | + | 1.28842e7i | 0.624283 | + | 0.453568i | ||||
\(959\) | −2.07381e6 | + | 6.38252e6i | −0.0728152 | + | 0.224102i | ||||
\(960\) | −3.57250e6 | + | 3.17620e7i | −0.125111 | + | 1.11232i | ||||
\(961\) | −5.04758e6 | − | 1.55349e7i | −0.176309 | − | 0.542624i | ||||
\(962\) | −2.42000e7 | + | 7.44798e7i | −0.843096 | + | 2.59478i | ||||
\(963\) | 1.66646e6 | − | 5.12885e6i | 0.0579069 | − | 0.178219i | ||||
\(964\) | −439738. | − | 1.35338e6i | −0.0152406 | − | 0.0469057i | ||||
\(965\) | 8.61561e6 | + | 1.51770e7i | 0.297829 | + | 0.524647i | ||||
\(966\) | 3.74011e6 | − | 1.15109e7i | 0.128956 | − | 0.396886i | ||||
\(967\) | −2.03306e6 | − | 1.47711e6i | −0.0699174 | − | 0.0507979i | 0.552278 | − | 0.833660i | \(-0.313759\pi\) |
−0.622195 | + | 0.782862i | \(0.713759\pi\) | |||||||
\(968\) | 231325. | 0.00793478 | ||||||||
\(969\) | 1.39659e7 | + | 1.01468e7i | 0.477816 | + | 0.347154i | ||||
\(970\) | −4.96838e6 | + | 4.41724e7i | −0.169545 | + | 1.50738i | ||||
\(971\) | −2.28456e7 | + | 1.65983e7i | −0.777596 | + | 0.564957i | −0.904257 | − | 0.426989i | \(-0.859574\pi\) |
0.126660 | + | 0.991946i | \(0.459574\pi\) | |||||||
\(972\) | 1.27763e7 | − | 9.28252e6i | 0.433750 | − | 0.315138i | ||||
\(973\) | −427502. | − | 1.31572e6i | −0.0144763 | − | 0.0445534i | ||||
\(974\) | 2.85156e7 | 0.963130 | ||||||||
\(975\) | 3.81994e7 | + | 8.70320e6i | 1.28690 | + | 0.293202i | ||||
\(976\) | 4.63960e7 | 1.55904 | ||||||||
\(977\) | −6.19205e6 | − | 1.90572e7i | −0.207538 | − | 0.638737i | −0.999600 | − | 0.0282955i | \(-0.990992\pi\) |
0.792061 | − | 0.610441i | \(-0.209008\pi\) | |||||||
\(978\) | −4.29009e7 | + | 3.11694e7i | −1.43423 | + | 1.04203i | ||||
\(979\) | −7.15112e6 | + | 5.19559e6i | −0.238461 | + | 0.173252i | ||||
\(980\) | 2.46436e7 | + | 1.11879e7i | 0.819671 | + | 0.372121i | ||||
\(981\) | 2.11793e6 | + | 1.53876e6i | 0.0702649 | + | 0.0510504i | ||||
\(982\) | −5.08783e7 | −1.68366 | ||||||||
\(983\) | 1.25111e7 | + | 9.08982e6i | 0.412962 | + | 0.300035i | 0.774800 | − | 0.632206i | \(-0.217851\pi\) |
−0.361838 | + | 0.932241i | \(0.617851\pi\) | |||||||
\(984\) | 75229.5 | − | 231533.i | 0.00247685 | − | 0.00762297i | ||||
\(985\) | −1.22523e7 | − | 5.56239e6i | −0.402371 | − | 0.182672i | ||||
\(986\) | 2.13742e6 | + | 6.57832e6i | 0.0700162 | + | 0.215488i | ||||
\(987\) | −709044. | + | 2.18221e6i | −0.0231676 | + | 0.0713024i | ||||
\(988\) | 5.20297e6 | − | 1.60131e7i | 0.169574 | − | 0.521895i | ||||
\(989\) | −1.17465e7 | − | 3.61521e7i | −0.381873 | − | 1.17528i | ||||
\(990\) | 1.20741e7 | − | 1.32147e7i | 0.391531 | − | 0.428519i | ||||
\(991\) | 1.29647e7 | − | 3.99013e7i | 0.419352 | − | 1.29063i | −0.488948 | − | 0.872313i | \(-0.662619\pi\) |
0.908300 | − | 0.418320i | \(-0.137381\pi\) | |||||||
\(992\) | 2.32110e7 | + | 1.68638e7i | 0.748884 | + | 0.544096i | ||||
\(993\) | −1.16430e6 | −0.0374706 | ||||||||
\(994\) | −9.65963e6 | − | 7.01813e6i | −0.310095 | − | 0.225297i | ||||
\(995\) | −2.04001e7 | − | 3.59361e7i | −0.653241 | − | 1.15073i | ||||
\(996\) | −3.36841e7 | + | 2.44729e7i | −1.07591 | + | 0.781695i | ||||
\(997\) | 8.25630e6 | − | 5.99855e6i | 0.263056 | − | 0.191121i | −0.448437 | − | 0.893814i | \(-0.648019\pi\) |
0.711493 | + | 0.702693i | \(0.248019\pi\) | |||||||
\(998\) | 1.09356e7 | + | 3.36563e7i | 0.347549 | + | 1.06965i | ||||
\(999\) | 4.26277e7 | 1.35138 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 25.6.d.a.6.2 | ✓ | 44 | |
25.11 | even | 5 | 625.6.a.d.1.4 | 22 | |||
25.14 | even | 10 | 625.6.a.c.1.19 | 22 | |||
25.21 | even | 5 | inner | 25.6.d.a.21.2 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
25.6.d.a.6.2 | ✓ | 44 | 1.1 | even | 1 | trivial | |
25.6.d.a.21.2 | yes | 44 | 25.21 | even | 5 | inner | |
625.6.a.c.1.19 | 22 | 25.14 | even | 10 | |||
625.6.a.d.1.4 | 22 | 25.11 | even | 5 |