Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,6,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), 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: | \(6.09458515289\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 25.2 | ||
Character | \(\chi\) | \(=\) | 38.25 |
Dual form | 38.6.e.b.35.2 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.06418 | − | 2.57115i | 0.541675 | − | 0.454519i | ||||
\(3\) | −10.3802 | − | 3.77808i | −0.665889 | − | 0.242364i | −0.0131121 | − | 0.999914i | \(-0.504174\pi\) |
−0.652777 | + | 0.757550i | \(0.726396\pi\) | |||||||
\(4\) | 2.77837 | − | 15.7569i | 0.0868241 | − | 0.492404i | ||||
\(5\) | −9.06643 | − | 51.4183i | −0.162185 | − | 0.919798i | −0.951919 | − | 0.306349i | \(-0.900893\pi\) |
0.789734 | − | 0.613449i | \(-0.210219\pi\) | |||||||
\(6\) | −41.5207 | + | 15.1123i | −0.470855 | + | 0.171377i | ||||
\(7\) | −107.823 | + | 186.754i | −0.831697 | + | 1.44054i | 0.0649954 | + | 0.997886i | \(0.479297\pi\) |
−0.896692 | + | 0.442655i | \(0.854037\pi\) | |||||||
\(8\) | −32.0000 | − | 55.4256i | −0.176777 | − | 0.306186i | ||||
\(9\) | −92.6745 | − | 77.7631i | −0.381377 | − | 0.320013i | ||||
\(10\) | −159.985 | − | 134.244i | −0.505918 | − | 0.424516i | ||||
\(11\) | −273.445 | − | 473.620i | −0.681377 | − | 1.18018i | −0.974561 | − | 0.224124i | \(-0.928048\pi\) |
0.293183 | − | 0.956056i | \(-0.405285\pi\) | |||||||
\(12\) | −88.3709 | + | 153.063i | −0.177156 | + | 0.306843i | ||||
\(13\) | −242.293 | + | 88.1874i | −0.397633 | + | 0.144727i | −0.533094 | − | 0.846056i | \(-0.678971\pi\) |
0.135461 | + | 0.990783i | \(0.456748\pi\) | |||||||
\(14\) | 149.786 | + | 849.477i | 0.204244 | + | 1.15833i | ||||
\(15\) | −100.151 | + | 567.985i | −0.114928 | + | 0.651791i | ||||
\(16\) | −240.561 | − | 87.5572i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 1451.68 | − | 1218.11i | 1.21829 | − | 1.02226i | 0.219375 | − | 0.975641i | \(-0.429598\pi\) |
0.998912 | − | 0.0466244i | \(-0.0148464\pi\) | |||||||
\(18\) | −483.912 | −0.352034 | ||||||||
\(19\) | −61.8077 | + | 1572.35i | −0.0392788 | + | 0.999228i | ||||
\(20\) | −835.384 | −0.466994 | ||||||||
\(21\) | 1824.79 | − | 1531.18i | 0.902952 | − | 0.757667i | ||||
\(22\) | −2055.63 | − | 748.189i | −0.905500 | − | 0.329575i | ||||
\(23\) | 387.696 | − | 2198.73i | 0.152817 | − | 0.866668i | −0.807938 | − | 0.589268i | \(-0.799416\pi\) |
0.960755 | − | 0.277400i | \(-0.0894727\pi\) | |||||||
\(24\) | 122.764 | + | 696.226i | 0.0435052 | + | 0.246730i | ||||
\(25\) | 374.898 | − | 136.452i | 0.119967 | − | 0.0436646i | ||||
\(26\) | −515.685 | + | 893.193i | −0.149607 | + | 0.259127i | ||||
\(27\) | 2010.32 | + | 3481.97i | 0.530707 | + | 0.919211i | ||||
\(28\) | 2643.10 | + | 2217.83i | 0.637117 | + | 0.534604i | ||||
\(29\) | −2744.42 | − | 2302.84i | −0.605976 | − | 0.508474i | 0.287385 | − | 0.957815i | \(-0.407214\pi\) |
−0.893360 | + | 0.449341i | \(0.851659\pi\) | |||||||
\(30\) | 1153.49 | + | 1997.91i | 0.233998 | + | 0.405296i | ||||
\(31\) | 4221.89 | − | 7312.54i | 0.789047 | − | 1.36667i | −0.137504 | − | 0.990501i | \(-0.543908\pi\) |
0.926551 | − | 0.376169i | \(-0.122759\pi\) | |||||||
\(32\) | −962.245 | + | 350.229i | −0.166116 | + | 0.0604612i | ||||
\(33\) | 1049.03 | + | 5949.36i | 0.167689 | + | 0.951010i | ||||
\(34\) | 1316.28 | − | 7465.00i | 0.195277 | − | 1.10747i | ||||
\(35\) | 10580.2 | + | 3850.86i | 1.45990 | + | 0.531359i | ||||
\(36\) | −1482.79 | + | 1244.21i | −0.190688 | + | 0.160006i | ||||
\(37\) | −3258.91 | −0.391353 | −0.195676 | − | 0.980669i | \(-0.562690\pi\) | ||||
−0.195676 | + | 0.980669i | \(0.562690\pi\) | |||||||
\(38\) | 3853.35 | + | 4976.87i | 0.432892 | + | 0.559110i | ||||
\(39\) | 2848.22 | 0.299856 | ||||||||
\(40\) | −2559.77 | + | 2147.90i | −0.252959 | + | 0.212258i | ||||
\(41\) | −8419.78 | − | 3064.55i | −0.782242 | − | 0.284713i | −0.0801350 | − | 0.996784i | \(-0.525535\pi\) |
−0.702107 | + | 0.712071i | \(0.747757\pi\) | |||||||
\(42\) | 1654.59 | − | 9383.62i | 0.144733 | − | 0.820819i | ||||
\(43\) | 3131.84 | + | 17761.6i | 0.258303 | + | 1.46491i | 0.787451 | + | 0.616378i | \(0.211400\pi\) |
−0.529148 | + | 0.848529i | \(0.677488\pi\) | |||||||
\(44\) | −8222.52 | + | 2992.75i | −0.640285 | + | 0.233045i | ||||
\(45\) | −3158.22 | + | 5470.20i | −0.232494 | + | 0.402691i | ||||
\(46\) | −4465.30 | − | 7734.13i | −0.311140 | − | 0.538911i | ||||
\(47\) | −15539.1 | − | 13038.9i | −1.02608 | − | 0.860985i | −0.0357021 | − | 0.999362i | \(-0.511367\pi\) |
−0.990380 | + | 0.138378i | \(0.955811\pi\) | |||||||
\(48\) | 2166.27 | + | 1817.72i | 0.135709 | + | 0.113874i | ||||
\(49\) | −14847.9 | − | 25717.4i | −0.883438 | − | 1.53016i | ||||
\(50\) | 797.917 | − | 1382.03i | 0.0451370 | − | 0.0781795i | ||||
\(51\) | −19670.9 | + | 7159.60i | −1.05900 | + | 0.385446i | ||||
\(52\) | 716.383 | + | 4062.81i | 0.0367398 | + | 0.208362i | ||||
\(53\) | 623.877 | − | 3538.18i | 0.0305077 | − | 0.173018i | −0.965747 | − | 0.259486i | \(-0.916447\pi\) |
0.996255 | + | 0.0864681i | \(0.0275581\pi\) | |||||||
\(54\) | 15112.6 | + | 5500.55i | 0.705270 | + | 0.256697i | ||||
\(55\) | −21873.6 | + | 18354.1i | −0.975019 | + | 0.818138i | ||||
\(56\) | 13801.3 | 0.588098 | ||||||||
\(57\) | 6582.03 | − | 16087.7i | 0.268332 | − | 0.655855i | ||||
\(58\) | −14330.3 | −0.559353 | ||||||||
\(59\) | −2351.74 | + | 1973.34i | −0.0879547 | + | 0.0738028i | −0.685705 | − | 0.727880i | \(-0.740506\pi\) |
0.597750 | + | 0.801682i | \(0.296061\pi\) | |||||||
\(60\) | 8671.44 | + | 3156.15i | 0.310966 | + | 0.113182i | ||||
\(61\) | −1002.59 | + | 5685.96i | −0.0344983 | + | 0.195650i | −0.997186 | − | 0.0749644i | \(-0.976116\pi\) |
0.962688 | + | 0.270614i | \(0.0872268\pi\) | |||||||
\(62\) | −5864.99 | − | 33262.0i | −0.193771 | − | 1.09893i | ||||
\(63\) | 24515.0 | − | 8922.74i | 0.778181 | − | 0.283235i | ||||
\(64\) | −2048.00 | + | 3547.24i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 6731.18 | + | 11658.7i | 0.197609 | + | 0.342270i | ||||
\(66\) | 18511.1 | + | 15532.7i | 0.523085 | + | 0.438921i | ||||
\(67\) | 29630.1 | + | 24862.6i | 0.806391 | + | 0.676642i | 0.949743 | − | 0.313029i | \(-0.101344\pi\) |
−0.143352 | + | 0.989672i | \(0.545788\pi\) | |||||||
\(68\) | −15160.3 | − | 26258.4i | −0.397590 | − | 0.688647i | ||||
\(69\) | −12331.3 | + | 21358.5i | −0.311808 | + | 0.540067i | ||||
\(70\) | 42320.6 | − | 15403.4i | 1.03230 | − | 0.375727i | ||||
\(71\) | 7395.34 | + | 41941.1i | 0.174105 | + | 0.987401i | 0.939171 | + | 0.343449i | \(0.111595\pi\) |
−0.765066 | + | 0.643952i | \(0.777294\pi\) | |||||||
\(72\) | −1344.49 | + | 7624.96i | −0.0305651 | + | 0.173343i | ||||
\(73\) | −41684.2 | − | 15171.8i | −0.915513 | − | 0.333219i | −0.159061 | − | 0.987269i | \(-0.550847\pi\) |
−0.756452 | + | 0.654049i | \(0.773069\pi\) | |||||||
\(74\) | −9985.89 | + | 8379.15i | −0.211986 | + | 0.177877i | ||||
\(75\) | −4407.04 | −0.0904677 | ||||||||
\(76\) | 24603.6 | + | 5342.47i | 0.488614 | + | 0.106098i | ||||
\(77\) | 117934. | 2.26680 | ||||||||
\(78\) | 8727.46 | − | 7323.21i | 0.162424 | − | 0.136290i | ||||
\(79\) | −10378.5 | − | 3777.46i | −0.187097 | − | 0.0680976i | 0.246773 | − | 0.969073i | \(-0.420630\pi\) |
−0.433869 | + | 0.900976i | \(0.642852\pi\) | |||||||
\(80\) | −2321.01 | + | 13163.1i | −0.0405463 | + | 0.229950i | ||||
\(81\) | −2607.45 | − | 14787.6i | −0.0441573 | − | 0.250429i | ||||
\(82\) | −33679.1 | + | 12258.2i | −0.553129 | + | 0.201322i | ||||
\(83\) | 10760.8 | − | 18638.3i | 0.171455 | − | 0.296969i | −0.767474 | − | 0.641080i | \(-0.778487\pi\) |
0.938929 | + | 0.344112i | \(0.111820\pi\) | |||||||
\(84\) | −19056.8 | − | 33007.3i | −0.294680 | − | 0.510401i | ||||
\(85\) | −75794.6 | − | 63599.3i | −1.13787 | − | 0.954783i | ||||
\(86\) | 55264.2 | + | 46372.1i | 0.805745 | + | 0.676100i | ||||
\(87\) | 19787.2 | + | 34272.5i | 0.280277 | + | 0.485454i | ||||
\(88\) | −17500.5 | + | 30311.7i | −0.240903 | + | 0.417257i | ||||
\(89\) | 57745.6 | − | 21017.7i | 0.772759 | − | 0.281261i | 0.0746089 | − | 0.997213i | \(-0.476229\pi\) |
0.698150 | + | 0.715952i | \(0.254007\pi\) | |||||||
\(90\) | 4387.36 | + | 24881.9i | 0.0570948 | + | 0.323801i | ||||
\(91\) | 9655.28 | − | 54757.8i | 0.122225 | − | 0.693175i | ||||
\(92\) | −33568.1 | − | 12217.8i | −0.413482 | − | 0.150495i | ||||
\(93\) | −71451.3 | + | 59954.8i | −0.856649 | + | 0.718814i | ||||
\(94\) | −81139.5 | −0.947137 | ||||||||
\(95\) | 81407.8 | − | 11077.5i | 0.925459 | − | 0.125932i | ||||
\(96\) | 11311.5 | 0.125268 | ||||||||
\(97\) | 120513. | − | 101122.i | 1.30048 | − | 1.09123i | 0.310416 | − | 0.950601i | \(-0.399532\pi\) |
0.990062 | − | 0.140630i | \(-0.0449128\pi\) | |||||||
\(98\) | −111620. | − | 40626.4i | −1.17402 | − | 0.427310i | ||||
\(99\) | −11488.8 | + | 65156.4i | −0.117812 | + | 0.668143i | ||||
\(100\) | −1108.45 | − | 6286.36i | −0.0110845 | − | 0.0628636i | ||||
\(101\) | −72411.3 | + | 26355.5i | −0.706322 | + | 0.257080i | −0.670108 | − | 0.742264i | \(-0.733752\pi\) |
−0.0362143 | + | 0.999344i | \(0.511530\pi\) | |||||||
\(102\) | −41866.6 | + | 72515.0i | −0.398444 | + | 0.690125i | ||||
\(103\) | −66453.7 | − | 115101.i | −0.617200 | − | 1.06902i | −0.989994 | − | 0.141108i | \(-0.954933\pi\) |
0.372794 | − | 0.927914i | \(-0.378400\pi\) | |||||||
\(104\) | 12641.2 | + | 10607.2i | 0.114605 | + | 0.0961654i | ||||
\(105\) | −95275.1 | − | 79945.3i | −0.843347 | − | 0.707652i | ||||
\(106\) | −7185.53 | − | 12445.7i | −0.0621146 | − | 0.107586i | ||||
\(107\) | −56112.7 | + | 97190.1i | −0.473808 | + | 0.820659i | −0.999550 | − | 0.0299849i | \(-0.990454\pi\) |
0.525743 | + | 0.850644i | \(0.323787\pi\) | |||||||
\(108\) | 60450.5 | − | 22002.2i | 0.498701 | − | 0.181512i | ||||
\(109\) | −10542.4 | − | 59789.1i | −0.0849914 | − | 0.482010i | −0.997358 | − | 0.0726369i | \(-0.976859\pi\) |
0.912367 | − | 0.409373i | \(-0.134253\pi\) | |||||||
\(110\) | −19833.3 | + | 112480.i | −0.156284 | + | 0.886330i | ||||
\(111\) | 33828.1 | + | 12312.4i | 0.260597 | + | 0.0948497i | ||||
\(112\) | 42289.6 | − | 35485.2i | 0.318558 | − | 0.267302i | ||||
\(113\) | 44583.9 | 0.328459 | 0.164230 | − | 0.986422i | \(-0.447486\pi\) | ||||
0.164230 | + | 0.986422i | \(0.447486\pi\) | |||||||
\(114\) | −21195.5 | − | 66219.1i | −0.152750 | − | 0.477223i | ||||
\(115\) | −116570. | −0.821944 | ||||||||
\(116\) | −43910.7 | + | 36845.4i | −0.302988 | + | 0.254237i | ||||
\(117\) | 29312.1 | + | 10668.7i | 0.197962 | + | 0.0720524i | ||||
\(118\) | −2132.38 | + | 12093.4i | −0.0140981 | + | 0.0799543i | ||||
\(119\) | 70962.4 | + | 402448.i | 0.459368 | + | 2.60521i | ||||
\(120\) | 34685.8 | − | 12624.6i | 0.219886 | − | 0.0800320i | ||||
\(121\) | −69018.4 | + | 119543.i | −0.428550 | + | 0.742270i | ||||
\(122\) | 11547.4 | + | 20000.6i | 0.0702397 | + | 0.121659i | ||||
\(123\) | 75820.8 | + | 63621.2i | 0.451882 | + | 0.379174i | ||||
\(124\) | −103493. | − | 86841.0i | −0.604445 | − | 0.507190i | ||||
\(125\) | −91995.6 | − | 159341.i | −0.526613 | − | 0.912121i | ||||
\(126\) | 52176.7 | − | 90372.6i | 0.292786 | − | 0.507120i | ||||
\(127\) | 288101. | − | 104860.i | 1.58502 | − | 0.576900i | 0.608732 | − | 0.793376i | \(-0.291678\pi\) |
0.976288 | + | 0.216475i | \(0.0694561\pi\) | |||||||
\(128\) | 2845.05 | + | 16135.1i | 0.0153485 | + | 0.0870455i | ||||
\(129\) | 34595.5 | − | 196201.i | 0.183039 | − | 1.03807i | ||||
\(130\) | 50601.9 | + | 18417.6i | 0.262608 | + | 0.0955816i | ||||
\(131\) | 15292.6 | − | 12832.0i | 0.0778579 | − | 0.0653305i | −0.603028 | − | 0.797720i | \(-0.706039\pi\) |
0.680886 | + | 0.732389i | \(0.261595\pi\) | |||||||
\(132\) | 96658.1 | 0.482840 | ||||||||
\(133\) | −286979. | − | 181078.i | −1.40676 | − | 0.887637i | ||||
\(134\) | 154717. | 0.744349 | ||||||||
\(135\) | 160811. | − | 134936.i | 0.759416 | − | 0.637226i | ||||
\(136\) | −113968. | − | 41481.1i | −0.528368 | − | 0.192310i | ||||
\(137\) | 25170.1 | − | 142747.i | 0.114573 | − | 0.649777i | −0.872387 | − | 0.488815i | \(-0.837429\pi\) |
0.986961 | − | 0.160962i | \(-0.0514596\pi\) | |||||||
\(138\) | 17130.5 | + | 97151.9i | 0.0765724 | + | 0.434264i | ||||
\(139\) | −86029.8 | + | 31312.3i | −0.377669 | + | 0.137460i | −0.523878 | − | 0.851793i | \(-0.675515\pi\) |
0.146208 | + | 0.989254i | \(0.453293\pi\) | |||||||
\(140\) | 90073.3 | − | 156012.i | 0.388397 | − | 0.672724i | ||||
\(141\) | 112037. | + | 194054.i | 0.474585 | + | 0.822005i | ||||
\(142\) | 130497. | + | 109500.i | 0.543102 | + | 0.455716i | ||||
\(143\) | 108021. | + | 90640.4i | 0.441741 | + | 0.370665i | ||||
\(144\) | 15485.2 | + | 26821.1i | 0.0622315 | + | 0.107788i | ||||
\(145\) | −93526.0 | + | 161992.i | −0.369413 | + | 0.639842i | ||||
\(146\) | −166737. | + | 60687.3i | −0.647365 | + | 0.235622i | ||||
\(147\) | 56962.1 | + | 323048.i | 0.217416 | + | 1.23303i | ||||
\(148\) | −9054.47 | + | 51350.4i | −0.0339788 | + | 0.192704i | ||||
\(149\) | 244159. | + | 88866.7i | 0.900964 | + | 0.327924i | 0.750639 | − | 0.660712i | \(-0.229746\pi\) |
0.150325 | + | 0.988637i | \(0.451968\pi\) | |||||||
\(150\) | −13503.9 | + | 11331.2i | −0.0490041 | + | 0.0411193i | ||||
\(151\) | −172996. | −0.617438 | −0.308719 | − | 0.951153i | \(-0.599900\pi\) | ||||
−0.308719 | + | 0.951153i | \(0.599900\pi\) | |||||||
\(152\) | 89126.2 | − | 46889.4i | 0.312894 | − | 0.164614i | ||||
\(153\) | −229258. | −0.791764 | ||||||||
\(154\) | 361371. | − | 303226.i | 1.22787 | − | 1.03030i | ||||
\(155\) | −414276. | − | 150784.i | −1.38503 | − | 0.504111i | ||||
\(156\) | 7913.42 | − | 44879.2i | 0.0260347 | − | 0.147650i | ||||
\(157\) | 5642.77 | + | 32001.8i | 0.0182702 | + | 0.103616i | 0.992579 | − | 0.121600i | \(-0.0388025\pi\) |
−0.974309 | + | 0.225215i | \(0.927691\pi\) | |||||||
\(158\) | −41513.9 | + | 15109.8i | −0.132297 | + | 0.0481522i | ||||
\(159\) | −19843.5 | + | 34369.9i | −0.0622479 | + | 0.107817i | ||||
\(160\) | 26732.3 | + | 46301.7i | 0.0825536 | + | 0.142987i | ||||
\(161\) | 368820. | + | 309477.i | 1.12137 | + | 0.940944i | ||||
\(162\) | −46010.7 | − | 38607.6i | −0.137744 | − | 0.115581i | ||||
\(163\) | −111277. | − | 192737.i | −0.328047 | − | 0.568194i | 0.654077 | − | 0.756428i | \(-0.273057\pi\) |
−0.982124 | + | 0.188234i | \(0.939724\pi\) | |||||||
\(164\) | −71681.2 | + | 124155.i | −0.208111 | + | 0.360459i | ||||
\(165\) | 296395. | − | 107879.i | 0.847541 | − | 0.308480i | ||||
\(166\) | −14948.8 | − | 84778.7i | −0.0421051 | − | 0.238790i | ||||
\(167\) | 69772.9 | − | 395702.i | 0.193596 | − | 1.09794i | −0.720809 | − | 0.693134i | \(-0.756230\pi\) |
0.914405 | − | 0.404801i | \(-0.132659\pi\) | |||||||
\(168\) | −143260. | − | 52142.4i | −0.391608 | − | 0.142534i | ||||
\(169\) | −233498. | + | 195928.i | −0.628878 | + | 0.527692i | ||||
\(170\) | −395771. | −1.05032 | ||||||||
\(171\) | 127999. | − | 140910.i | 0.334746 | − | 0.368513i | ||||
\(172\) | 288569. | 0.743753 | ||||||||
\(173\) | −222142. | + | 186400.i | −0.564308 | + | 0.473511i | −0.879752 | − | 0.475434i | \(-0.842291\pi\) |
0.315444 | + | 0.948944i | \(0.397847\pi\) | |||||||
\(174\) | 148751. | + | 54141.1i | 0.372467 | + | 0.135567i | ||||
\(175\) | −14939.6 | + | 84726.4i | −0.0368759 | + | 0.209134i | ||||
\(176\) | 24311.4 | + | 137877.i | 0.0591600 | + | 0.335513i | ||||
\(177\) | 31866.9 | − | 11598.6i | 0.0764552 | − | 0.0278274i | ||||
\(178\) | 122903. | − | 212875.i | 0.290746 | − | 0.503586i | ||||
\(179\) | 154078. | + | 266872.i | 0.359426 | + | 0.622544i | 0.987865 | − | 0.155315i | \(-0.0496392\pi\) |
−0.628439 | + | 0.777859i | \(0.716306\pi\) | |||||||
\(180\) | 77418.8 | + | 64962.1i | 0.178101 | + | 0.149444i | ||||
\(181\) | −100141. | − | 84028.1i | −0.227203 | − | 0.190646i | 0.522079 | − | 0.852897i | \(-0.325157\pi\) |
−0.749282 | + | 0.662251i | \(0.769601\pi\) | |||||||
\(182\) | −111205. | − | 192613.i | −0.248855 | − | 0.431029i | ||||
\(183\) | 31889.1 | − | 55233.5i | 0.0703905 | − | 0.121920i | ||||
\(184\) | −134272. | + | 48871.1i | −0.292376 | + | 0.106416i | ||||
\(185\) | 29546.7 | + | 167568.i | 0.0634717 | + | 0.359966i | ||||
\(186\) | −64786.8 | + | 367424.i | −0.137311 | + | 0.778728i | ||||
\(187\) | −973876. | − | 354462.i | −2.03657 | − | 0.741251i | ||||
\(188\) | −248626. | + | 208622.i | −0.513041 | + | 0.430492i | ||||
\(189\) | −867030. | −1.76555 | ||||||||
\(190\) | 220966. | − | 243255.i | 0.444060 | − | 0.488853i | ||||
\(191\) | −828301. | −1.64288 | −0.821438 | − | 0.570297i | \(-0.806828\pi\) | ||||
−0.821438 | + | 0.570297i | \(0.806828\pi\) | |||||||
\(192\) | 34660.4 | − | 29083.5i | 0.0678547 | − | 0.0569369i | ||||
\(193\) | 702710. | + | 255765.i | 1.35795 | + | 0.494252i | 0.915419 | − | 0.402503i | \(-0.131860\pi\) |
0.442528 | + | 0.896755i | \(0.354082\pi\) | |||||||
\(194\) | 109272. | − | 619712.i | 0.208451 | − | 1.18219i | ||||
\(195\) | −25823.2 | − | 146451.i | −0.0486322 | − | 0.275807i | ||||
\(196\) | −446480. | + | 162506.i | −0.830160 | + | 0.302154i | ||||
\(197\) | 358327. | − | 620640.i | 0.657830 | − | 1.13939i | −0.323346 | − | 0.946281i | \(-0.604808\pi\) |
0.981176 | − | 0.193114i | \(-0.0618588\pi\) | |||||||
\(198\) | 132323. | + | 229190.i | 0.239868 | + | 0.415464i | ||||
\(199\) | 196686. | + | 165040.i | 0.352080 | + | 0.295430i | 0.801625 | − | 0.597827i | \(-0.203969\pi\) |
−0.449544 | + | 0.893258i | \(0.648414\pi\) | |||||||
\(200\) | −19559.7 | − | 16412.5i | −0.0345769 | − | 0.0290135i | ||||
\(201\) | −213633. | − | 370023.i | −0.372973 | − | 0.646009i | ||||
\(202\) | −154117. | + | 266938.i | −0.265749 | + | 0.460291i | ||||
\(203\) | 725976. | − | 264233.i | 1.23647 | − | 0.450037i | ||||
\(204\) | 58160.4 | + | 329844.i | 0.0978480 | + | 0.554924i | ||||
\(205\) | −81236.6 | + | 460716.i | −0.135010 | + | 0.765682i | ||||
\(206\) | −499568. | − | 181828.i | −0.820214 | − | 0.298533i | ||||
\(207\) | −206910. | + | 173618.i | −0.335626 | + | 0.281623i | ||||
\(208\) | 66007.7 | 0.105788 | ||||||||
\(209\) | 761596. | − | 400677.i | 1.20603 | − | 0.634495i | ||||
\(210\) | −497491. | −0.778461 | ||||||||
\(211\) | 230240. | − | 193194.i | 0.356020 | − | 0.298736i | −0.447182 | − | 0.894443i | \(-0.647572\pi\) |
0.803202 | + | 0.595707i | \(0.203128\pi\) | |||||||
\(212\) | −54017.5 | − | 19660.8i | −0.0825458 | − | 0.0300442i | ||||
\(213\) | 81691.6 | − | 463296.i | 0.123375 | − | 0.699696i | ||||
\(214\) | 77951.0 | + | 442082.i | 0.116356 | + | 0.659885i | ||||
\(215\) | 884875. | − | 322068.i | 1.30553 | − | 0.475173i | ||||
\(216\) | 128660. | − | 222846.i | 0.187633 | − | 0.324990i | ||||
\(217\) | 910432. | + | 1.57691e6i | 1.31250 | + | 2.27331i | ||||
\(218\) | −186031. | − | 156098.i | −0.265121 | − | 0.222463i | ||||
\(219\) | 375369. | + | 314972.i | 0.528870 | + | 0.443774i | ||||
\(220\) | 228431. | + | 395655.i | 0.318199 | + | 0.551137i | ||||
\(221\) | −244311. | + | 423159.i | −0.336482 | + | 0.582805i | ||||
\(222\) | 135312. | − | 49249.7i | 0.184270 | − | 0.0670689i | ||||
\(223\) | −194457. | − | 1.10282e6i | −0.261856 | − | 1.48506i | −0.777841 | − | 0.628461i | \(-0.783685\pi\) |
0.515986 | − | 0.856597i | \(-0.327426\pi\) | |||||||
\(224\) | 38345.1 | − | 217466.i | 0.0510611 | − | 0.289582i | ||||
\(225\) | −45354.4 | − | 16507.7i | −0.0597260 | − | 0.0217385i | ||||
\(226\) | 136613. | − | 114632.i | 0.177918 | − | 0.149291i | ||||
\(227\) | 1.42711e6 | 1.83820 | 0.919099 | − | 0.394026i | \(-0.128918\pi\) | ||||
0.919099 | + | 0.394026i | \(0.128918\pi\) | |||||||
\(228\) | −235206. | − | 148410.i | −0.299648 | − | 0.189072i | ||||
\(229\) | 843458. | 1.06286 | 0.531428 | − | 0.847103i | \(-0.321656\pi\) | ||||
0.531428 | + | 0.847103i | \(0.321656\pi\) | |||||||
\(230\) | −357191. | + | 299719.i | −0.445227 | + | 0.373590i | ||||
\(231\) | −1.22418e6 | − | 445564.i | −1.50943 | − | 0.549389i | ||||
\(232\) | −39815.0 | + | 225802.i | −0.0485653 | + | 0.275428i | ||||
\(233\) | 83713.3 | + | 474762.i | 0.101019 | + | 0.572910i | 0.992736 | + | 0.120315i | \(0.0383904\pi\) |
−0.891716 | + | 0.452595i | \(0.850498\pi\) | |||||||
\(234\) | 117248. | − | 42674.9i | 0.139980 | − | 0.0509487i | ||||
\(235\) | −529552. | + | 917211.i | −0.625517 | + | 1.08343i | ||||
\(236\) | 24559.8 | + | 42538.9i | 0.0287042 | + | 0.0497171i | ||||
\(237\) | 93458.9 | + | 78421.3i | 0.108081 | + | 0.0906908i | ||||
\(238\) | 1.25220e6 | + | 1.05072e6i | 1.43295 | + | 1.20238i | ||||
\(239\) | −357944. | − | 619977.i | −0.405341 | − | 0.702071i | 0.589020 | − | 0.808118i | \(-0.299514\pi\) |
−0.994361 | + | 0.106047i | \(0.966180\pi\) | |||||||
\(240\) | 73823.6 | − | 127866.i | 0.0827308 | − | 0.143294i | ||||
\(241\) | 1.49099e6 | − | 542677.i | 1.65361 | − | 0.601864i | 0.664269 | − | 0.747493i | \(-0.268743\pi\) |
0.989339 | + | 0.145629i | \(0.0465206\pi\) | |||||||
\(242\) | 95879.4 | + | 543759.i | 0.105241 | + | 0.596854i | ||||
\(243\) | 140854. | − | 798822.i | 0.153022 | − | 0.867829i | ||||
\(244\) | 86807.7 | + | 31595.4i | 0.0933434 | + | 0.0339742i | ||||
\(245\) | −1.18773e6 | + | 996621.i | −1.26416 | + | 1.06075i | ||||
\(246\) | 395908. | 0.417116 | ||||||||
\(247\) | −123686. | − | 386419.i | −0.128996 | − | 0.403011i | ||||
\(248\) | −540402. | −0.557941 | ||||||||
\(249\) | −182116. | + | 152814.i | −0.186144 | + | 0.156194i | ||||
\(250\) | −691581. | − | 251715.i | −0.699830 | − | 0.254717i | ||||
\(251\) | 48780.5 | − | 276648.i | 0.0488722 | − | 0.277168i | −0.950572 | − | 0.310504i | \(-0.899502\pi\) |
0.999444 | + | 0.0333363i | \(0.0106132\pi\) | |||||||
\(252\) | −72483.1 | − | 411072.i | −0.0719010 | − | 0.407771i | ||||
\(253\) | −1.14738e6 | + | 417611.i | −1.12695 | + | 0.410176i | ||||
\(254\) | 613180. | − | 1.06206e6i | 0.596354 | − | 1.03292i | ||||
\(255\) | 546479. | + | 946530.i | 0.526288 | + | 0.911557i | ||||
\(256\) | 50203.5 | + | 42125.7i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | −1.45513e6 | − | 1.22100e6i | −1.37426 | − | 1.15314i | −0.971282 | − | 0.237933i | \(-0.923530\pi\) |
−0.402979 | − | 0.915209i | \(-0.632025\pi\) | |||||||
\(258\) | −398455. | − | 690144.i | −0.372674 | − | 0.645491i | ||||
\(259\) | 351385. | − | 608616.i | 0.325487 | − | 0.563760i | ||||
\(260\) | 202408. | − | 73670.4i | 0.185692 | − | 0.0675864i | ||||
\(261\) | 75261.5 | + | 426829.i | 0.0683867 | + | 0.387840i | ||||
\(262\) | 13866.2 | − | 78639.0i | 0.0124797 | − | 0.0707758i | ||||
\(263\) | −1.62751e6 | − | 592364.i | −1.45089 | − | 0.528079i | −0.508047 | − | 0.861329i | \(-0.669632\pi\) |
−0.942838 | + | 0.333250i | \(0.891855\pi\) | |||||||
\(264\) | 296178. | − | 248523.i | 0.261543 | − | 0.219460i | ||||
\(265\) | −187584. | −0.164089 | ||||||||
\(266\) | −1.34493e6 | + | 183011.i | −1.16546 | + | 0.158589i | ||||
\(267\) | −678816. | −0.582739 | ||||||||
\(268\) | 474081. | − | 397801.i | 0.403196 | − | 0.338321i | ||||
\(269\) | −540547. | − | 196743.i | −0.455463 | − | 0.165775i | 0.104093 | − | 0.994568i | \(-0.466806\pi\) |
−0.559556 | + | 0.828793i | \(0.689028\pi\) | |||||||
\(270\) | 145811. | − | 826936.i | 0.121725 | − | 0.690339i | ||||
\(271\) | 297272. | + | 1.68591e6i | 0.245884 | + | 1.39448i | 0.818431 | + | 0.574605i | \(0.194844\pi\) |
−0.572546 | + | 0.819872i | \(0.694044\pi\) | |||||||
\(272\) | −455873. | + | 165924.i | −0.373613 | + | 0.135984i | ||||
\(273\) | −307103. | + | 531918.i | −0.249389 | + | 0.431954i | ||||
\(274\) | −289897. | − | 502117.i | −0.233275 | − | 0.404044i | ||||
\(275\) | −167140. | − | 140247.i | −0.133275 | − | 0.111831i | ||||
\(276\) | 302283. | + | 253646.i | 0.238859 | + | 0.200426i | ||||
\(277\) | 1.19075e6 | + | 2.06244e6i | 0.932442 | + | 1.61504i | 0.779133 | + | 0.626859i | \(0.215660\pi\) |
0.153310 | + | 0.988178i | \(0.451007\pi\) | |||||||
\(278\) | −183102. | + | 317142.i | −0.142096 | + | 0.246117i | ||||
\(279\) | −959908. | + | 349378.i | −0.738276 | + | 0.268711i | ||||
\(280\) | −125129. | − | 709639.i | −0.0953809 | − | 0.540932i | ||||
\(281\) | −161383. | + | 915250.i | −0.121925 | + | 0.691471i | 0.861162 | + | 0.508331i | \(0.169737\pi\) |
−0.983087 | + | 0.183140i | \(0.941374\pi\) | |||||||
\(282\) | 842243. | + | 306551.i | 0.630688 | + | 0.229552i | ||||
\(283\) | 246547. | − | 206878.i | 0.182993 | − | 0.153549i | −0.546690 | − | 0.837335i | \(-0.684112\pi\) |
0.729683 | + | 0.683786i | \(0.239668\pi\) | |||||||
\(284\) | 681409. | 0.501317 | ||||||||
\(285\) | −886880. | − | 192578.i | −0.646774 | − | 0.140441i | ||||
\(286\) | 564046. | 0.407755 | ||||||||
\(287\) | 1.48016e6 | − | 1.24200e6i | 1.06073 | − | 0.890057i | ||||
\(288\) | 116410. | + | 42370.0i | 0.0827010 | + | 0.0301007i | ||||
\(289\) | 377045. | − | 2.13833e6i | 0.265552 | − | 1.50602i | ||||
\(290\) | 129925. | + | 736841.i | 0.0907189 | + | 0.514492i | ||||
\(291\) | −1.63299e6 | + | 594360.i | −1.13045 | + | 0.411450i | ||||
\(292\) | −354875. | + | 614662.i | −0.243567 | + | 0.421871i | ||||
\(293\) | 143607. | + | 248734.i | 0.0977250 | + | 0.169265i | 0.910743 | − | 0.412974i | \(-0.135510\pi\) |
−0.813018 | + | 0.582239i | \(0.802177\pi\) | |||||||
\(294\) | 1.00515e6 | + | 843418.i | 0.678205 | + | 0.569082i | ||||
\(295\) | 122788. | + | 103031.i | 0.0821487 | + | 0.0689309i | ||||
\(296\) | 104285. | + | 180627.i | 0.0691820 | + | 0.119827i | ||||
\(297\) | 1.09942e6 | − | 1.90425e6i | 0.723223 | − | 1.25266i | ||||
\(298\) | 976637. | − | 355467.i | 0.637078 | − | 0.231877i | ||||
\(299\) | 99964.5 | + | 566927.i | 0.0646648 | + | 0.366732i | ||||
\(300\) | −12244.4 | + | 69441.3i | −0.00785477 | + | 0.0445466i | ||||
\(301\) | −3.65473e6 | − | 1.33021e6i | −2.32509 | − | 0.846263i | ||||
\(302\) | −530090. | + | 444798.i | −0.334451 | + | 0.280638i | ||||
\(303\) | 851215. | 0.532639 | ||||||||
\(304\) | 152539. | − | 372834.i | 0.0946666 | − | 0.231383i | ||||
\(305\) | 301452. | 0.185554 | ||||||||
\(306\) | −702487. | + | 589457.i | −0.428879 | + | 0.359872i | ||||
\(307\) | 67079.1 | + | 24414.8i | 0.0406201 | + | 0.0147845i | 0.362250 | − | 0.932081i | \(-0.382009\pi\) |
−0.321630 | + | 0.946865i | \(0.604231\pi\) | |||||||
\(308\) | 327665. | − | 1.85828e6i | 0.196813 | − | 1.11618i | ||||
\(309\) | 254940. | + | 1.44584e6i | 0.151895 | + | 0.861437i | ||||
\(310\) | −1.65710e6 | + | 603136.i | −0.979366 | + | 0.356460i | ||||
\(311\) | −956342. | + | 1.65643e6i | −0.560676 | + | 0.971120i | 0.436761 | + | 0.899577i | \(0.356125\pi\) |
−0.997438 | + | 0.0715424i | \(0.977208\pi\) | |||||||
\(312\) | −91143.1 | − | 157865.i | −0.0530075 | − | 0.0918117i | ||||
\(313\) | 661808. | + | 555323.i | 0.381831 | + | 0.320394i | 0.813421 | − | 0.581676i | \(-0.197603\pi\) |
−0.431590 | + | 0.902070i | \(0.642047\pi\) | |||||||
\(314\) | 99571.8 | + | 83550.7i | 0.0569918 | + | 0.0478218i | ||||
\(315\) | −681056. | − | 1.17962e6i | −0.386729 | − | 0.669833i | ||||
\(316\) | −88356.3 | + | 153038.i | −0.0497760 | + | 0.0862145i | ||||
\(317\) | 2.34554e6 | − | 853705.i | 1.31097 | − | 0.477155i | 0.410419 | − | 0.911897i | \(-0.365383\pi\) |
0.900555 | + | 0.434742i | \(0.143160\pi\) | |||||||
\(318\) | 27566.3 | + | 156336.i | 0.0152866 | + | 0.0866945i | ||||
\(319\) | −340225. | + | 1.92951e6i | −0.187193 | + | 1.06162i | ||||
\(320\) | 200961. | + | 73143.9i | 0.109708 | + | 0.0399303i | ||||
\(321\) | 949652. | − | 796853.i | 0.514401 | − | 0.431634i | ||||
\(322\) | 1.92584e6 | 1.03510 | ||||||||
\(323\) | 1.82556e6 | + | 2.35784e6i | 0.973623 | + | 1.25750i | ||||
\(324\) | −240251. | −0.127146 | ||||||||
\(325\) | −78801.8 | + | 66122.6i | −0.0413836 | + | 0.0347249i | ||||
\(326\) | −836528. | − | 304471.i | −0.435950 | − | 0.158673i | ||||
\(327\) | −116456. | + | 660452.i | −0.0602269 | + | 0.341564i | ||||
\(328\) | 99578.4 | + | 564737.i | 0.0511070 | + | 0.289842i | ||||
\(329\) | 4.11054e6 | − | 1.49611e6i | 2.09367 | − | 0.762034i | ||||
\(330\) | 630833. | − | 1.09264e6i | 0.318882 | − | 0.552320i | ||||
\(331\) | −614547. | − | 1.06443e6i | −0.308308 | − | 0.534006i | 0.669684 | − | 0.742646i | \(-0.266430\pi\) |
−0.977992 | + | 0.208640i | \(0.933096\pi\) | |||||||
\(332\) | −263784. | − | 221341.i | −0.131342 | − | 0.110209i | ||||
\(333\) | 302018. | + | 253423.i | 0.149253 | + | 0.125238i | ||||
\(334\) | −803612. | − | 1.39190e6i | −0.394167 | − | 0.682717i | ||||
\(335\) | 1.00975e6 | − | 1.74894e6i | 0.491590 | − | 0.851459i | ||||
\(336\) | −573040. | + | 208569.i | −0.276909 | + | 0.100787i | ||||
\(337\) | 157172. | + | 891365.i | 0.0753876 | + | 0.427544i | 0.999020 | + | 0.0442644i | \(0.0140944\pi\) |
−0.923632 | + | 0.383280i | \(0.874794\pi\) | |||||||
\(338\) | −211719. | + | 1.20072e6i | −0.100802 | + | 0.571675i | ||||
\(339\) | −462789. | − | 168441.i | −0.218717 | − | 0.0796066i | ||||
\(340\) | −1.21271e6 | + | 1.01759e6i | −0.568933 | + | 0.477392i | ||||
\(341\) | −4.61782e6 | −2.15056 | ||||||||
\(342\) | 29909.5 | − | 760878.i | 0.0138275 | − | 0.351763i | ||||
\(343\) | 2.77943e6 | 1.27562 | ||||||||
\(344\) | 884227. | − | 741954.i | 0.402872 | − | 0.338050i | ||||
\(345\) | 1.21002e6 | + | 440411.i | 0.547324 | + | 0.199210i | ||||
\(346\) | −201422. | + | 1.14232e6i | −0.0904519 | + | 0.512978i | ||||
\(347\) | −276396. | − | 1.56752e6i | −0.123227 | − | 0.698858i | −0.982345 | − | 0.187079i | \(-0.940098\pi\) |
0.859117 | − | 0.511779i | \(-0.171013\pi\) | |||||||
\(348\) | 595006. | − | 216564.i | 0.263374 | − | 0.0958603i | ||||
\(349\) | 50694.6 | − | 87805.6i | 0.0222791 | − | 0.0385886i | −0.854671 | − | 0.519170i | \(-0.826241\pi\) |
0.876950 | + | 0.480582i | \(0.159574\pi\) | |||||||
\(350\) | 172067. | + | 298029.i | 0.0750805 | + | 0.130043i | ||||
\(351\) | −794151. | − | 666372.i | −0.344061 | − | 0.288701i | ||||
\(352\) | 428996. | + | 359970.i | 0.184543 | + | 0.154850i | ||||
\(353\) | 562313. | + | 973954.i | 0.240182 | + | 0.416008i | 0.960766 | − | 0.277360i | \(-0.0894594\pi\) |
−0.720584 | + | 0.693368i | \(0.756126\pi\) | |||||||
\(354\) | 67824.2 | − | 117475.i | 0.0287658 | − | 0.0498238i | ||||
\(355\) | 2.08949e6 | − | 760512.i | 0.879973 | − | 0.320284i | ||||
\(356\) | −170735. | − | 968288.i | −0.0714000 | − | 0.404930i | ||||
\(357\) | 783876. | − | 4.44558e6i | 0.325520 | − | 1.84611i | ||||
\(358\) | 1.15829e6 | + | 421583.i | 0.477650 | + | 0.173851i | ||||
\(359\) | −2.45256e6 | + | 2.05794e6i | −1.00435 | + | 0.842747i | −0.987581 | − | 0.157113i | \(-0.949781\pi\) |
−0.0167656 | + | 0.999859i | \(0.505337\pi\) | |||||||
\(360\) | 404252. | 0.164398 | ||||||||
\(361\) | −2.46846e6 | − | 194366.i | −0.996914 | − | 0.0784971i | ||||
\(362\) | −522898. | −0.209723 | ||||||||
\(363\) | 1.16807e6 | − | 980125.i | 0.465266 | − | 0.390405i | ||||
\(364\) | −835989. | − | 304275.i | −0.330710 | − | 0.120369i | ||||
\(365\) | −402182. | + | 2.28089e6i | −0.158012 | + | 0.896131i | ||||
\(366\) | −44299.8 | − | 251237.i | −0.0172862 | − | 0.0980348i | ||||
\(367\) | 1.56576e6 | − | 569890.i | 0.606820 | − | 0.220864i | −0.0202912 | − | 0.999794i | \(-0.506459\pi\) |
0.627111 | + | 0.778930i | \(0.284237\pi\) | |||||||
\(368\) | −285779. | + | 494984.i | −0.110005 | + | 0.190534i | ||||
\(369\) | 541990. | + | 938755.i | 0.207217 | + | 0.358911i | ||||
\(370\) | 521378. | + | 437488.i | 0.197992 | + | 0.166135i | ||||
\(371\) | 593503. | + | 498008.i | 0.223866 | + | 0.187846i | ||||
\(372\) | 746185. | + | 1.29243e6i | 0.279569 | + | 0.484228i | ||||
\(373\) | −2.03094e6 | + | 3.51769e6i | −0.755832 | + | 1.30914i | 0.189127 | + | 0.981953i | \(0.439434\pi\) |
−0.944960 | + | 0.327187i | \(0.893899\pi\) | |||||||
\(374\) | −3.89550e6 | + | 1.41785e6i | −1.44007 | + | 0.524144i | ||||
\(375\) | 352928. | + | 2.00156e6i | 0.129601 | + | 0.735003i | ||||
\(376\) | −225436. | + | 1.27851e6i | −0.0822343 | + | 0.466374i | ||||
\(377\) | 868034. | + | 315939.i | 0.314545 | + | 0.114485i | ||||
\(378\) | −2.65673e6 | + | 2.22926e6i | −0.956354 | + | 0.802476i | ||||
\(379\) | 122287. | 0.0437302 | 0.0218651 | − | 0.999761i | \(-0.493040\pi\) | ||||
0.0218651 | + | 0.999761i | \(0.493040\pi\) | |||||||
\(380\) | 51633.2 | − | 1.31351e6i | 0.0183430 | − | 0.466634i | ||||
\(381\) | −3.38671e6 | −1.19527 | ||||||||
\(382\) | −2.53806e6 | + | 2.12969e6i | −0.889906 | + | 0.746720i | ||||
\(383\) | 1.33782e6 | + | 486928.i | 0.466017 | + | 0.169616i | 0.564347 | − | 0.825537i | \(-0.309128\pi\) |
−0.0983301 | + | 0.995154i | \(0.531350\pi\) | |||||||
\(384\) | 31427.5 | − | 178234.i | 0.0108763 | − | 0.0616826i | ||||
\(385\) | −1.06924e6 | − | 6.06397e6i | −0.367641 | − | 2.08500i | ||||
\(386\) | 2.81084e6 | − | 1.02306e6i | 0.960213 | − | 0.349489i | ||||
\(387\) | 1.09095e6 | − | 1.88959e6i | 0.370279 | − | 0.641341i | ||||
\(388\) | −1.25854e6 | − | 2.17986e6i | −0.424413 | − | 0.735106i | ||||
\(389\) | −1.59588e6 | − | 1.33910e6i | −0.534719 | − | 0.448682i | 0.335008 | − | 0.942215i | \(-0.391261\pi\) |
−0.869727 | + | 0.493533i | \(0.835705\pi\) | |||||||
\(390\) | −455674. | − | 382356.i | −0.151702 | − | 0.127293i | ||||
\(391\) | −2.11548e6 | − | 3.66412e6i | −0.699789 | − | 1.21207i | ||||
\(392\) | −950269. | + | 1.64591e6i | −0.312343 | + | 0.540993i | ||||
\(393\) | −207220. | + | 75421.9i | −0.0676784 | + | 0.0246329i | ||||
\(394\) | −497782. | − | 2.82306e6i | −0.161547 | − | 0.916178i | ||||
\(395\) | −100135. | + | 567891.i | −0.0322917 | + | 0.183136i | ||||
\(396\) | 994744. | + | 362057.i | 0.318767 | + | 0.116022i | ||||
\(397\) | 1.41209e6 | − | 1.18489e6i | 0.449663 | − | 0.377312i | −0.389648 | − | 0.920964i | \(-0.627403\pi\) |
0.839311 | + | 0.543652i | \(0.182959\pi\) | |||||||
\(398\) | 1.02702e6 | 0.324992 | ||||||||
\(399\) | 2.29476e6 | + | 2.96385e6i | 0.721615 | + | 0.932016i | ||||
\(400\) | −102133. | −0.0319167 | ||||||||
\(401\) | −34080.2 | + | 28596.7i | −0.0105838 | + | 0.00888085i | −0.648064 | − | 0.761586i | \(-0.724421\pi\) |
0.637480 | + | 0.770467i | \(0.279977\pi\) | |||||||
\(402\) | −1.60599e6 | − | 584534.i | −0.495654 | − | 0.180403i | ||||
\(403\) | −378061. | + | 2.14409e6i | −0.115958 | + | 0.657629i | ||||
\(404\) | 214097. | + | 1.21420e6i | 0.0652615 | + | 0.370116i | ||||
\(405\) | −736711. | + | 268141.i | −0.223182 | + | 0.0812317i | ||||
\(406\) | 1.54513e6 | − | 2.67625e6i | 0.465212 | − | 0.805771i | ||||
\(407\) | 891132. | + | 1.54349e6i | 0.266659 | + | 0.461867i | ||||
\(408\) | 1.02629e6 | + | 861162.i | 0.305226 | + | 0.256115i | ||||
\(409\) | −537784. | − | 451255.i | −0.158964 | − | 0.133387i | 0.559836 | − | 0.828603i | \(-0.310864\pi\) |
−0.718801 | + | 0.695216i | \(0.755309\pi\) | |||||||
\(410\) | 935646. | + | 1.62059e6i | 0.274885 | + | 0.476116i | ||||
\(411\) | −800577. | + | 1.38664e6i | −0.233775 | + | 0.404911i | ||||
\(412\) | −1.99827e6 | + | 727312.i | −0.579979 | + | 0.211095i | ||||
\(413\) | −114960. | − | 651969.i | −0.0331643 | − | 0.188084i | ||||
\(414\) | −187611. | + | 1.06399e6i | −0.0537968 | + | 0.305097i | ||||
\(415\) | −1.05591e6 | − | 384320.i | −0.300959 | − | 0.109540i | ||||
\(416\) | 202259. | − | 169716.i | 0.0573027 | − | 0.0480827i | ||||
\(417\) | 1.01131e6 | 0.284801 | ||||||||
\(418\) | 1.30347e6 | − | 3.18592e6i | 0.364888 | − | 0.891856i | ||||
\(419\) | −5.55566e6 | −1.54597 | −0.772984 | − | 0.634425i | \(-0.781237\pi\) | ||||
−0.772984 | + | 0.634425i | \(0.781237\pi\) | |||||||
\(420\) | −1.52440e6 | + | 1.27912e6i | −0.421673 | + | 0.353826i | ||||
\(421\) | 1.98468e6 | + | 722364.i | 0.545739 | + | 0.198633i | 0.600152 | − | 0.799886i | \(-0.295107\pi\) |
−0.0544135 | + | 0.998518i | \(0.517329\pi\) | |||||||
\(422\) | 208765. | − | 1.18396e6i | 0.0570658 | − | 0.323636i | ||||
\(423\) | 426137. | + | 2.41674e6i | 0.115797 | + | 0.656719i | ||||
\(424\) | −216070. | + | 78643.1i | −0.0583687 | + | 0.0212445i | ||||
\(425\) | 378021. | − | 654751.i | 0.101518 | − | 0.175835i | ||||
\(426\) | −940886. | − | 1.62966e6i | −0.251196 | − | 0.435085i | ||||
\(427\) | −953776. | − | 800313.i | −0.253149 | − | 0.212418i | ||||
\(428\) | 1.37551e6 | + | 1.15419e6i | 0.362958 | + | 0.304558i | ||||
\(429\) | −778831. | − | 1.34898e6i | −0.204315 | − | 0.353884i | ||||
\(430\) | 1.88333e6 | − | 3.26202e6i | 0.491196 | − | 0.850776i | ||||
\(431\) | −497724. | + | 181157.i | −0.129061 | + | 0.0469744i | −0.405743 | − | 0.913987i | \(-0.632987\pi\) |
0.276682 | + | 0.960961i | \(0.410765\pi\) | |||||||
\(432\) | −178733. | − | 1.01364e6i | −0.0460782 | − | 0.261322i | ||||
\(433\) | 591076. | − | 3.35216e6i | 0.151504 | − | 0.859220i | −0.810409 | − | 0.585864i | \(-0.800755\pi\) |
0.961913 | − | 0.273356i | \(-0.0881337\pi\) | |||||||
\(434\) | 6.84421e6 | + | 2.49109e6i | 1.74421 | + | 0.634841i | ||||
\(435\) | 1.58283e6 | − | 1.32816e6i | 0.401063 | − | 0.336532i | ||||
\(436\) | −971384. | −0.244723 | ||||||||
\(437\) | 3.43321e6 | + | 745491.i | 0.859997 | + | 0.186741i | ||||
\(438\) | 1.96004e6 | 0.488180 | ||||||||
\(439\) | 435222. | − | 365194.i | 0.107783 | − | 0.0904404i | −0.587304 | − | 0.809367i | \(-0.699811\pi\) |
0.695086 | + | 0.718926i | \(0.255366\pi\) | |||||||
\(440\) | 1.71724e6 | + | 625025.i | 0.422863 | + | 0.153910i | ||||
\(441\) | −623840. | + | 3.53797e6i | −0.152748 | + | 0.866279i | ||||
\(442\) | 339393. | + | 1.92480e6i | 0.0826319 | + | 0.468629i | ||||
\(443\) | −3.00104e6 | + | 1.09229e6i | −0.726546 | + | 0.264441i | −0.678702 | − | 0.734414i | \(-0.737457\pi\) |
−0.0478438 | + | 0.998855i | \(0.515235\pi\) | |||||||
\(444\) | 287993. | − | 498818.i | 0.0693305 | − | 0.120084i | ||||
\(445\) | −1.60424e6 | − | 2.77863e6i | −0.384034 | − | 0.665166i | ||||
\(446\) | −3.43137e6 | − | 2.87926e6i | −0.816828 | − | 0.685400i | ||||
\(447\) | −2.19867e6 | − | 1.84491e6i | −0.520465 | − | 0.436722i | ||||
\(448\) | −441642. | − | 764946.i | −0.103962 | − | 0.180068i | ||||
\(449\) | −639853. | + | 1.10826e6i | −0.149784 | + | 0.259433i | −0.931147 | − | 0.364643i | \(-0.881191\pi\) |
0.781364 | + | 0.624076i | \(0.214524\pi\) | |||||||
\(450\) | −181418. | + | 66030.6i | −0.0422327 | + | 0.0153714i | ||||
\(451\) | 850912. | + | 4.82576e6i | 0.196990 | + | 1.11718i | ||||
\(452\) | 123870. | − | 702504.i | 0.0285182 | − | 0.161735i | ||||
\(453\) | 1.79573e6 | + | 653592.i | 0.411145 | + | 0.149645i | ||||
\(454\) | 4.37291e6 | − | 3.66931e6i | 0.995706 | − | 0.835497i | ||||
\(455\) | −2.90309e6 | −0.657404 | ||||||||
\(456\) | −1.10230e6 | + | 149995.i | −0.248249 | + | 0.0337804i | ||||
\(457\) | 5.15509e6 | 1.15464 | 0.577319 | − | 0.816519i | \(-0.304099\pi\) | ||||
0.577319 | + | 0.816519i | \(0.304099\pi\) | |||||||
\(458\) | 2.58450e6 | − | 2.16866e6i | 0.575723 | − | 0.483089i | ||||
\(459\) | 7.15976e6 | + | 2.60594e6i | 1.58623 | + | 0.577341i | ||||
\(460\) | −323875. | + | 1.83679e6i | −0.0713646 | + | 0.404729i | ||||
\(461\) | −648738. | − | 3.67918e6i | −0.142173 | − | 0.806303i | −0.969594 | − | 0.244720i | \(-0.921304\pi\) |
0.827421 | − | 0.561583i | \(-0.189807\pi\) | |||||||
\(462\) | −4.89671e6 | + | 1.78226e6i | −1.06733 | + | 0.388477i | ||||
\(463\) | −3.78630e6 | + | 6.55806e6i | −0.820848 | + | 1.42175i | 0.0842044 | + | 0.996449i | \(0.473165\pi\) |
−0.905052 | + | 0.425301i | \(0.860168\pi\) | |||||||
\(464\) | 458571. | + | 794267.i | 0.0988806 | + | 0.171266i | ||||
\(465\) | 3.73058e6 | + | 3.13033e6i | 0.800100 | + | 0.671364i | ||||
\(466\) | 1.47720e6 | + | 1.23952e6i | 0.315118 | + | 0.264416i | ||||
\(467\) | 4.02309e6 | + | 6.96820e6i | 0.853626 | + | 1.47852i | 0.877914 | + | 0.478819i | \(0.158935\pi\) |
−0.0242874 | + | 0.999705i | \(0.507732\pi\) | |||||||
\(468\) | 249546. | − | 432227.i | 0.0526668 | − | 0.0912215i | ||||
\(469\) | −7.83799e6 | + | 2.85279e6i | −1.64540 | + | 0.598878i | ||||
\(470\) | 735646. | + | 4.17206e6i | 0.153612 | + | 0.871175i | ||||
\(471\) | 62332.1 | − | 353503.i | 0.0129467 | − | 0.0734245i | ||||
\(472\) | 184630. | + | 67199.6i | 0.0381457 | + | 0.0138839i | ||||
\(473\) | 7.55585e6 | − | 6.34011e6i | 1.55285 | − | 1.30300i | ||||
\(474\) | 488008. | 0.0997656 | ||||||||
\(475\) | 191378. | + | 597904.i | 0.0389187 | + | 0.121590i | ||||
\(476\) | 6.53850e6 | 1.32270 | ||||||||
\(477\) | −332958. | + | 279385.i | −0.0670028 | + | 0.0562220i | ||||
\(478\) | −2.69086e6 | − | 979392.i | −0.538668 | − | 0.196059i | ||||
\(479\) | −53782.5 | + | 305016.i | −0.0107103 | + | 0.0607412i | −0.989694 | − | 0.143195i | \(-0.954262\pi\) |
0.978984 | + | 0.203936i | \(0.0653735\pi\) | |||||||
\(480\) | −102555. | − | 581617.i | −0.0203167 | − | 0.115222i | ||||
\(481\) | 789611. | − | 287395.i | 0.155615 | − | 0.0566391i | ||||
\(482\) | 3.17336e6 | − | 5.49642e6i | 0.622160 | − | 1.07761i | ||||
\(483\) | −2.65919e6 | − | 4.60586e6i | −0.518659 | − | 0.898344i | ||||
\(484\) | 1.69188e6 | + | 1.41965e6i | 0.328288 | + | 0.275467i | ||||
\(485\) | −6.29214e6 | − | 5.27974e6i | −1.21463 | − | 1.01920i | ||||
\(486\) | −1.62229e6 | − | 2.80989e6i | −0.311557 | − | 0.539633i | ||||
\(487\) | 1.61598e6 | − | 2.79895e6i | 0.308754 | − | 0.534778i | −0.669336 | − | 0.742960i | \(-0.733421\pi\) |
0.978090 | + | 0.208182i | \(0.0667547\pi\) | |||||||
\(488\) | 347231. | − | 126382.i | 0.0660038 | − | 0.0240234i | ||||
\(489\) | 426898. | + | 2.42106e6i | 0.0807332 | + | 0.457861i | ||||
\(490\) | −1.07694e6 | + | 6.10765e6i | −0.202629 | + | 1.14917i | ||||
\(491\) | 6.87972e6 | + | 2.50401e6i | 1.28786 | + | 0.468741i | 0.893022 | − | 0.450012i | \(-0.148580\pi\) |
0.394833 | + | 0.918753i | \(0.370803\pi\) | |||||||
\(492\) | 1.21313e6 | − | 1.01794e6i | 0.225941 | − | 0.189587i | ||||
\(493\) | −6.78914e6 | −1.25805 | ||||||||
\(494\) | −1.37254e6 | − | 866043.i | −0.253050 | − | 0.159670i | ||||
\(495\) | 3.45439e6 | 0.633664 | ||||||||
\(496\) | −1.65589e6 | + | 1.38946e6i | −0.302223 | + | 0.253595i | ||||
\(497\) | −8.63006e6 | − | 3.14108e6i | −1.56719 | − | 0.570412i | ||||
\(498\) | −165129. | + | 936496.i | −0.0298367 | + | 0.169212i | ||||
\(499\) | −749484. | − | 4.25054e6i | −0.134745 | − | 0.764174i | −0.975037 | − | 0.222041i | \(-0.928728\pi\) |
0.840293 | − | 0.542133i | \(-0.182383\pi\) | |||||||
\(500\) | −2.76632e6 | + | 1.00686e6i | −0.494855 | + | 0.180112i | ||||
\(501\) | −2.21925e6 | + | 3.84385e6i | −0.395013 | + | 0.684182i | ||||
\(502\) | −561831. | − | 973120.i | −0.0995054 | − | 0.172348i | ||||
\(503\) | −3.55744e6 | − | 2.98504e6i | −0.626928 | − | 0.526055i | 0.273045 | − | 0.962001i | \(-0.411969\pi\) |
−0.899973 | + | 0.435947i | \(0.856414\pi\) | |||||||
\(504\) | −1.27903e6 | − | 1.07323e6i | −0.224287 | − | 0.188199i | ||||
\(505\) | 2.01167e6 | + | 3.48431e6i | 0.351017 | + | 0.607979i | ||||
\(506\) | −2.44203e6 | + | 4.22971e6i | −0.424008 | + | 0.734403i | ||||
\(507\) | 3.16398e6 | − | 1.15160e6i | 0.546656 | − | 0.198967i | ||||
\(508\) | −851821. | − | 4.83092e6i | −0.146450 | − | 0.830559i | ||||
\(509\) | 1.26671e6 | − | 7.18388e6i | 0.216712 | − | 1.22904i | −0.661199 | − | 0.750211i | \(-0.729952\pi\) |
0.877911 | − | 0.478824i | \(-0.158937\pi\) | |||||||
\(510\) | 4.10818e6 | + | 1.49526e6i | 0.699397 | + | 0.254560i | ||||
\(511\) | 7.32790e6 | − | 6.14884e6i | 1.24145 | − | 1.04170i | ||||
\(512\) | 262144. | 0.0441942 | ||||||||
\(513\) | −5.59912e6 | + | 2.94570e6i | −0.939348 | + | 0.494192i | ||||
\(514\) | −7.59815e6 | −1.26853 | ||||||||
\(515\) | −5.31581e6 | + | 4.46049e6i | −0.883184 | + | 0.741080i | ||||
\(516\) | −2.99540e6 | − | 1.09024e6i | −0.495257 | − | 0.180259i | ||||
\(517\) | −1.92638e6 | + | 1.09250e7i | −0.316968 | + | 1.79762i | ||||
\(518\) | −488138. | − | 2.76837e6i | −0.0799316 | − | 0.453315i | ||||
\(519\) | 3.01011e6 | − | 1.09559e6i | 0.490528 | − | 0.178538i | ||||
\(520\) | 430795. | − | 746160.i | 0.0698655 | − | 0.121011i | ||||
\(521\) | 3.55949e6 | + | 6.16522e6i | 0.574505 | + | 0.995071i | 0.996095 | + | 0.0882850i | \(0.0281386\pi\) |
−0.421591 | + | 0.906786i | \(0.638528\pi\) | |||||||
\(522\) | 1.32806e6 | + | 1.11437e6i | 0.213324 | + | 0.179000i | ||||
\(523\) | −8.94397e6 | − | 7.50488e6i | −1.42980 | − | 1.19975i | −0.945830 | − | 0.324664i | \(-0.894749\pi\) |
−0.483973 | − | 0.875083i | \(-0.660807\pi\) | |||||||
\(524\) | −159704. | − | 276616.i | −0.0254091 | − | 0.0440098i | ||||
\(525\) | 475178. | − | 823033.i | 0.0752417 | − | 0.130322i | ||||
\(526\) | −6.51002e6 | + | 2.36945e6i | −1.02593 | + | 0.373408i | ||||
\(527\) | −2.77860e6 | − | 1.57582e7i | −0.435812 | − | 2.47161i | ||||
\(528\) | 268552. | − | 1.52304e6i | 0.0419222 | − | 0.237753i | ||||
\(529\) | 1.36407e6 | + | 496481.i | 0.211933 | + | 0.0771371i | ||||
\(530\) | −574790. | + | 482306.i | −0.0888831 | + | 0.0745818i | ||||
\(531\) | 371400. | 0.0571617 | ||||||||
\(532\) | −3.65056e6 | + | 4.01880e6i | −0.559217 | + | 0.615626i | ||||
\(533\) | 2.31031e6 | 0.352251 | ||||||||
\(534\) | −2.08001e6 | + | 1.74534e6i | −0.315655 | + | 0.264866i | ||||
\(535\) | 5.50609e6 | + | 2.00405e6i | 0.831685 | + | 0.302709i | ||||
\(536\) | 429862. | − | 2.43787e6i | 0.0646274 | − | 0.366520i | ||||
\(537\) | −591100. | − | 3.35230e6i | −0.0884556 | − | 0.501657i | ||||
\(538\) | −2.16219e6 | + | 786972.i | −0.322061 | + | 0.117221i | ||||
\(539\) | −8.12018e6 | + | 1.40646e7i | −1.20391 | + | 2.08523i | ||||
\(540\) | −1.67939e6 | − | 2.90878e6i | −0.247837 | − | 0.429266i | ||||
\(541\) | −4.15762e6 | − | 3.48866e6i | −0.610733 | − | 0.512466i | 0.284142 | − | 0.958782i | \(-0.408291\pi\) |
−0.894875 | + | 0.446316i | \(0.852736\pi\) | |||||||
\(542\) | 5.24563e6 | + | 4.40160e6i | 0.767007 | + | 0.643595i | ||||
\(543\) | 722015. | + | 1.25057e6i | 0.105086 | + | 0.182015i | ||||
\(544\) | −970260. | + | 1.68054e6i | −0.140569 | + | 0.243473i | ||||
\(545\) | −2.97867e6 | + | 1.08415e6i | −0.429568 | + | 0.156350i | ||||
\(546\) | 426623. | + | 2.41950e6i | 0.0612439 | + | 0.347331i | ||||
\(547\) | 321355. | − | 1.82250e6i | 0.0459216 | − | 0.260435i | −0.953200 | − | 0.302341i | \(-0.902232\pi\) |
0.999122 | + | 0.0419062i | \(0.0133431\pi\) | |||||||
\(548\) | −2.17931e6 | − | 793206.i | −0.310005 | − | 0.112833i | ||||
\(549\) | 535073. | − | 448979.i | 0.0757673 | − | 0.0635763i | ||||
\(550\) | −872744. | −0.123021 | ||||||||
\(551\) | 3.79049e6 | − | 4.17285e6i | 0.531884 | − | 0.585536i | ||||
\(552\) | 1.57841e6 | 0.220482 | ||||||||
\(553\) | 1.82449e6 | − | 1.53093e6i | 0.253705 | − | 0.212884i | ||||
\(554\) | 8.95153e6 | + | 3.25809e6i | 1.23915 | + | 0.451013i | ||||
\(555\) | 326384. | − | 1.85101e6i | 0.0449776 | − | 0.255080i | ||||
\(556\) | 254363. | + | 1.44256e6i | 0.0348952 | + | 0.197901i | ||||
\(557\) | 2935.09 | − | 1068.29i | 0.000400852 | − | 0.000145898i | −0.341820 | − | 0.939766i | \(-0.611043\pi\) |
0.342221 | + | 0.939620i | \(0.388821\pi\) | |||||||
\(558\) | −2.04303e6 | + | 3.53862e6i | −0.277772 | + | 0.481115i | ||||
\(559\) | −2.32517e6 | − | 4.02731e6i | −0.314721 | − | 0.545112i | ||||
\(560\) | −2.20801e6 | − | 1.85274e6i | −0.297530 | − | 0.249657i | ||||
\(561\) | 8.76982e6 | + | 7.35875e6i | 1.17648 | + | 0.987182i | ||||
\(562\) | 1.85874e6 | + | 3.21943e6i | 0.248243 | + | 0.429970i | ||||
\(563\) | −1.72631e6 | + | 2.99005e6i | −0.229534 | + | 0.397565i | −0.957670 | − | 0.287868i | \(-0.907054\pi\) |
0.728136 | + | 0.685433i | \(0.240387\pi\) | |||||||
\(564\) | 3.36897e6 | − | 1.22621e6i | 0.445964 | − | 0.162318i | ||||
\(565\) | −404217. | − | 2.29243e6i | −0.0532713 | − | 0.302116i | ||||
\(566\) | 223551. | − | 1.26782e6i | 0.0293316 | − | 0.166348i | ||||
\(567\) | 3.04278e6 | + | 1.10748e6i | 0.397478 | + | 0.144670i | ||||
\(568\) | 2.08796e6 | − | 1.75201e6i | 0.271551 | − | 0.227858i | ||||
\(569\) | 9.38291e6 | 1.21495 | 0.607473 | − | 0.794341i | \(-0.292183\pi\) | ||||
0.607473 | + | 0.794341i | \(0.292183\pi\) | |||||||
\(570\) | −3.21271e6 | + | 1.69021e6i | −0.414175 | + | 0.217898i | ||||
\(571\) | 8.27080e6 | 1.06159 | 0.530796 | − | 0.847500i | \(-0.321893\pi\) | ||||
0.530796 | + | 0.847500i | \(0.321893\pi\) | |||||||
\(572\) | 1.72834e6 | − | 1.45025e6i | 0.220871 | − | 0.185333i | ||||
\(573\) | 8.59792e6 | + | 3.12939e6i | 1.09397 | + | 0.398174i | ||||
\(574\) | 1.34210e6 | − | 7.61144e6i | 0.170022 | − | 0.964244i | ||||
\(575\) | −154674. | − | 877202.i | −0.0195096 | − | 0.110645i | ||||
\(576\) | 465642. | − | 169480.i | 0.0584785 | − | 0.0212844i | ||||
\(577\) | 2.73790e6 | − | 4.74218e6i | 0.342356 | − | 0.592978i | −0.642514 | − | 0.766274i | \(-0.722108\pi\) |
0.984870 | + | 0.173296i | \(0.0554417\pi\) | |||||||
\(578\) | −4.34264e6 | − | 7.52167e6i | −0.540672 | − | 0.936471i | ||||
\(579\) | −6.32795e6 | − | 5.30978e6i | −0.784453 | − | 0.658234i | ||||
\(580\) | 2.29264e6 | + | 1.92376e6i | 0.282987 | + | 0.237454i | ||||
\(581\) | 2.32052e6 | + | 4.01926e6i | 0.285197 | + | 0.493976i | ||||
\(582\) | −3.47558e6 | + | 6.01988e6i | −0.425324 | + | 0.736683i | ||||
\(583\) | −1.84635e6 | + | 672016.i | −0.224979 | + | 0.0818858i | ||||
\(584\) | 492988. | + | 2.79587e6i | 0.0598141 | + | 0.339223i | ||||
\(585\) | 282812. | − | 1.60391e6i | 0.0341671 | − | 0.193771i | ||||
\(586\) | 1.07957e6 | + | 392931.i | 0.129869 | + | 0.0472686i | ||||
\(587\) | −8.96349e6 | + | 7.52126e6i | −1.07370 | + | 0.900939i | −0.995382 | − | 0.0959895i | \(-0.969398\pi\) |
−0.0783152 | + | 0.996929i | \(0.524954\pi\) | |||||||
\(588\) | 5.24850e6 | 0.626026 | ||||||||
\(589\) | 1.12369e7 | + | 7.09026e6i | 1.33462 | + | 0.842120i | ||||
\(590\) | 641153. | 0.0758283 | ||||||||
\(591\) | −6.06432e6 | + | 5.08857e6i | −0.714190 | + | 0.599276i | ||||
\(592\) | 783968. | + | 285341.i | 0.0919378 | + | 0.0334626i | ||||
\(593\) | −1.22767e6 | + | 6.96246e6i | −0.143366 | + | 0.813066i | 0.825299 | + | 0.564695i | \(0.191006\pi\) |
−0.968665 | + | 0.248371i | \(0.920105\pi\) | |||||||
\(594\) | −1.52730e6 | − | 8.66174e6i | −0.177606 | − | 1.00725i | ||||
\(595\) | 2.00498e7 | − | 7.29754e6i | 2.32176 | − | 0.845053i | ||||
\(596\) | 2.07863e6 | − | 3.60030e6i | 0.239697 | − | 0.415167i | ||||
\(597\) | −1.41811e6 | − | 2.45624e6i | −0.162845 | − | 0.282055i | ||||
\(598\) | 1.76396e6 | + | 1.48014e6i | 0.201714 | + | 0.169258i | ||||
\(599\) | −3.98768e6 | − | 3.34606e6i | −0.454102 | − | 0.381037i | 0.386854 | − | 0.922141i | \(-0.373562\pi\) |
−0.840955 | + | 0.541105i | \(0.818006\pi\) | |||||||
\(600\) | 141025. | + | 244263.i | 0.0159926 | + | 0.0277000i | ||||
\(601\) | 4.05200e6 | − | 7.01826e6i | 0.457597 | − | 0.792580i | −0.541237 | − | 0.840870i | \(-0.682044\pi\) |
0.998833 | + | 0.0482897i | \(0.0153771\pi\) | |||||||
\(602\) | −1.46189e7 | + | 5.32085e6i | −1.64409 | + | 0.598398i | ||||
\(603\) | −812560. | − | 4.60826e6i | −0.0910043 | − | 0.516111i | ||||
\(604\) | −480647. | + | 2.72588e6i | −0.0536085 | + | 0.304029i | ||||
\(605\) | 6.77247e6 | + | 2.46498e6i | 0.752244 | + | 0.273794i | ||||
\(606\) | 2.60828e6 | − | 2.18860e6i | 0.288517 | − | 0.242095i | ||||
\(607\) | −5.55114e6 | −0.611520 | −0.305760 | − | 0.952109i | \(-0.598910\pi\) | ||||
−0.305760 | + | 0.952109i | \(0.598910\pi\) | |||||||
\(608\) | −491207. | − | 1.53463e6i | −0.0538897 | − | 0.168362i | ||||
\(609\) | −8.53405e6 | −0.932421 | ||||||||
\(610\) | 923704. | − | 775080.i | 0.100510 | − | 0.0843377i | ||||
\(611\) | 4.91488e6 | + | 1.78887e6i | 0.532611 | + | 0.193855i | ||||
\(612\) | −636964. | + | 3.61240e6i | −0.0687442 | + | 0.389868i | ||||
\(613\) | 1.74607e6 | + | 9.90245e6i | 0.187677 | + | 1.06437i | 0.922468 | + | 0.386074i | \(0.126169\pi\) |
−0.734791 | + | 0.678293i | \(0.762720\pi\) | |||||||
\(614\) | 268316. | − | 97659.2i | 0.0287228 | − | 0.0104542i | ||||
\(615\) | 2.58387e6 | − | 4.47539e6i | 0.275475 | − | 0.477137i | ||||
\(616\) | −3.77389e6 | − | 6.53657e6i | −0.400717 | − | 0.694062i | ||||
\(617\) | −1.20780e6 | − | 1.01347e6i | −0.127727 | − | 0.107176i | 0.576686 | − | 0.816966i | \(-0.304345\pi\) |
−0.704414 | + | 0.709790i | \(0.748790\pi\) | |||||||
\(618\) | 4.49865e6 | + | 3.77482e6i | 0.473817 | + | 0.397580i | ||||
\(619\) | −5.78438e6 | − | 1.00188e7i | −0.606779 | − | 1.05097i | −0.991768 | − | 0.128051i | \(-0.959128\pi\) |
0.384989 | − | 0.922921i | \(-0.374205\pi\) | |||||||
\(620\) | −3.52690e6 | + | 6.10878e6i | −0.368480 | + | 0.638227i | ||||
\(621\) | 8.43531e6 | − | 3.07020e6i | 0.877752 | − | 0.319476i | ||||
\(622\) | 1.32854e6 | + | 7.53450e6i | 0.137688 | + | 0.780870i | ||||
\(623\) | −2.30114e6 | + | 1.30504e7i | −0.237533 | + | 1.34711i | ||||
\(624\) | −685172. | − | 249382.i | −0.0704431 | − | 0.0256392i | ||||
\(625\) | −6.40391e6 | + | 5.37352e6i | −0.655761 | + | 0.550248i | ||||
\(626\) | 3.45572e6 | 0.352454 | ||||||||
\(627\) | −9.41930e6 | + | 1.28173e6i | −0.956863 | + | 0.130205i | ||||
\(628\) | 519927. | 0.0526070 | ||||||||
\(629\) | −4.73091e6 | + | 3.96971e6i | −0.476780 | + | 0.400066i | ||||
\(630\) | −5.11986e6 | − | 1.86348e6i | −0.513934 | − | 0.187057i | ||||
\(631\) | −838260. | + | 4.75401e6i | −0.0838119 | + | 0.475321i | 0.913795 | + | 0.406176i | \(0.133138\pi\) |
−0.997607 | + | 0.0691445i | \(0.977973\pi\) | |||||||
\(632\) | 122743. | + | 696112.i | 0.0122238 | + | 0.0693244i | ||||
\(633\) | −3.11983e6 | + | 1.13553e6i | −0.309473 | + | 0.112639i | ||||
\(634\) | 4.99213e6 | − | 8.64663e6i | 0.493246 | − | 0.854326i | ||||
\(635\) | −8.00377e6 | − | 1.38629e7i | −0.787699 | − | 1.36433i | ||||
\(636\) | 486432. | + | 408165.i | 0.0476847 | + | 0.0400122i | ||||
\(637\) | 5.86550e6 | + | 4.92174e6i | 0.572739 | + | 0.480585i | ||||
\(638\) | 3.91855e6 | + | 6.78713e6i | 0.381131 | + | 0.660138i | ||||
\(639\) | 2.57611e6 | − | 4.46195e6i | 0.249581 | − | 0.432288i | ||||
\(640\) | 803844. | − | 292575.i | 0.0775751 | − | 0.0282350i | ||||
\(641\) | −3.47865e6 | − | 1.97284e7i | −0.334400 | − | 1.89647i | −0.433080 | − | 0.901355i | \(-0.642573\pi\) |
0.0986804 | − | 0.995119i | \(-0.468538\pi\) | |||||||
\(642\) | 861074. | − | 4.88340e6i | 0.0824524 | − | 0.467611i | ||||
\(643\) | −5.62640e6 | − | 2.04784e6i | −0.536665 | − | 0.195330i | 0.0594470 | − | 0.998231i | \(-0.481066\pi\) |
−0.596112 | + | 0.802901i | \(0.703288\pi\) | |||||||
\(644\) | 5.90112e6 | − | 4.95163e6i | 0.560686 | − | 0.470472i | ||||
\(645\) | −1.04020e7 | −0.984500 | ||||||||
\(646\) | 1.16562e7 | + | 2.53105e6i | 1.09895 | + | 0.238627i | ||||
\(647\) | 1.64159e6 | 0.154172 | 0.0770859 | − | 0.997024i | \(-0.475438\pi\) | ||||
0.0770859 | + | 0.997024i | \(0.475438\pi\) | |||||||
\(648\) | −736171. | + | 617721.i | −0.0688718 | + | 0.0577903i | ||||
\(649\) | 1.57769e6 | + | 574231.i | 0.147031 | + | 0.0535149i | ||||
\(650\) | −71451.7 | + | 405223.i | −0.00663329 | + | 0.0376193i | ||||
\(651\) | −3.49274e6 | − | 1.98083e7i | −0.323009 | − | 1.83187i | ||||
\(652\) | −3.34611e6 | + | 1.21789e6i | −0.308263 | + | 0.112199i | ||||
\(653\) | 3.28829e6 | − | 5.69549e6i | 0.301778 | − | 0.522694i | −0.674761 | − | 0.738036i | \(-0.735753\pi\) |
0.976539 | + | 0.215342i | \(0.0690866\pi\) | |||||||
\(654\) | 1.34128e6 | + | 2.32317e6i | 0.122624 | + | 0.212391i | ||||
\(655\) | −798449. | − | 669978.i | −0.0727183 | − | 0.0610179i | ||||
\(656\) | 1.75715e6 | + | 1.47442e6i | 0.159422 | + | 0.133771i | ||||
\(657\) | 2.68326e6 | + | 4.64754e6i | 0.242521 | + | 0.420058i | ||||
\(658\) | 8.74868e6 | − | 1.51532e7i | 0.787731 | − | 1.36439i | ||||
\(659\) | −1.27687e7 | + | 4.64742e6i | −1.14534 | + | 0.416868i | −0.843838 | − | 0.536599i | \(-0.819709\pi\) |
−0.301498 | + | 0.953467i | \(0.597487\pi\) | |||||||
\(660\) | −876345. | − | 4.97000e6i | −0.0783096 | − | 0.444116i | ||||
\(661\) | −1.62833e6 | + | 9.23469e6i | −0.144956 | + | 0.822089i | 0.822446 | + | 0.568844i | \(0.192609\pi\) |
−0.967402 | + | 0.253245i | \(0.918502\pi\) | |||||||
\(662\) | −4.61988e6 | − | 1.68150e6i | −0.409719 | − | 0.149125i | ||||
\(663\) | 4.13472e6 | − | 3.46944e6i | 0.365311 | − | 0.306532i | ||||
\(664\) | −1.37738e6 | −0.121237 | ||||||||
\(665\) | −6.70883e6 | + | 1.63977e7i | −0.588292 | + | 1.43790i | ||||
\(666\) | 1.57703e6 | 0.137770 | ||||||||
\(667\) | −6.12733e6 | + | 5.14144e6i | −0.533281 | + | 0.447476i | ||||
\(668\) | −6.04119e6 | − | 2.19881e6i | −0.523819 | − | 0.190654i | ||||
\(669\) | −2.14805e6 | + | 1.21822e7i | −0.185557 | + | 1.05235i | ||||
\(670\) | −1.40273e6 | − | 7.95530e6i | −0.120722 | − | 0.684651i | ||||
\(671\) | 2.96714e6 | − | 1.07995e6i | 0.254408 | − | 0.0925971i | ||||
\(672\) | −1.21963e6 | + | 2.11247e6i | −0.104185 | + | 0.180454i | ||||
\(673\) | 1.07619e7 | + | 1.86402e7i | 0.915908 | + | 1.58640i | 0.805566 | + | 0.592506i | \(0.201861\pi\) |
0.110343 | + | 0.993894i | \(0.464805\pi\) | |||||||
\(674\) | 2.77344e6 | + | 2.32719e6i | 0.235163 | + | 0.197325i | ||||
\(675\) | 1.22878e6 | + | 1.03107e6i | 0.103805 | + | 0.0871023i | ||||
\(676\) | 2.43848e6 | + | 4.22357e6i | 0.205236 | + | 0.355478i | ||||
\(677\) | 7.21906e6 | − | 1.25038e7i | 0.605353 | − | 1.04850i | −0.386643 | − | 0.922230i | \(-0.626365\pi\) |
0.991996 | − | 0.126273i | \(-0.0403014\pi\) | |||||||
\(678\) | −1.85115e6 | + | 673765.i | −0.154657 | + | 0.0562904i | ||||
\(679\) | 5.89100e6 | + | 3.34095e7i | 0.490359 | + | 2.78096i | ||||
\(680\) | −1.09960e6 | + | 6.23614e6i | −0.0911932 | + | 0.517182i | ||||
\(681\) | −1.48136e7 | − | 5.39173e6i | −1.22404 | − | 0.445513i | ||||
\(682\) | −1.41498e7 | + | 1.18731e7i | −1.16490 | + | 0.977470i | ||||
\(683\) | 1.39407e7 | 1.14349 | 0.571747 | − | 0.820430i | \(-0.306266\pi\) | ||||
0.571747 | + | 0.820430i | \(0.306266\pi\) | |||||||
\(684\) | −1.86468e6 | − | 2.40837e6i | −0.152393 | − | 0.196826i | ||||
\(685\) | −7.56799e6 | −0.616246 | ||||||||
\(686\) | 8.51667e6 | − | 7.14633e6i | 0.690970 | − | 0.579793i | ||||
\(687\) | −8.75524e6 | − | 3.18665e6i | −0.707744 | − | 0.257598i | ||||
\(688\) | 801752. | − | 4.54696e6i | 0.0645757 | − | 0.366227i | ||||
\(689\) | 160862. | + | 912294.i | 0.0129094 | + | 0.0732128i | ||||
\(690\) | 4.84007e6 | − | 1.76164e6i | 0.387016 | − | 0.140862i | ||||
\(691\) | −3.42012e6 | + | 5.92382e6i | −0.272487 | + | 0.471961i | −0.969498 | − | 0.245099i | \(-0.921180\pi\) |
0.697011 | + | 0.717060i | \(0.254513\pi\) | |||||||
\(692\) | 2.31989e6 | + | 4.01817e6i | 0.184163 | + | 0.318980i | ||||
\(693\) | −1.09295e7 | − | 9.17093e6i | −0.864503 | − | 0.725404i | ||||
\(694\) | −4.87725e6 | − | 4.09250e6i | −0.384394 | − | 0.322545i | ||||
\(695\) | 2.39001e6 | + | 4.13962e6i | 0.187688 | + | 0.325086i | ||||
\(696\) | 1.26638e6 | − | 2.19344e6i | 0.0990928 | − | 0.171634i | ||||
\(697\) | −1.59558e7 | + | 5.80744e6i | −1.24405 | + | 0.452797i | ||||
\(698\) | −70424.2 | − | 399395.i | −0.00547121 | − | 0.0310288i | ||||
\(699\) | 924728. | − | 5.24439e6i | 0.0715848 | − | 0.405978i | ||||
\(700\) | 1.29352e6 | + | 470803.i | 0.0997765 | + | 0.0363157i | ||||
\(701\) | −4.86696e6 | + | 4.08387e6i | −0.374079 | + | 0.313889i | −0.810373 | − | 0.585915i | \(-0.800735\pi\) |
0.436294 | + | 0.899804i | \(0.356291\pi\) | |||||||
\(702\) | −4.14676e6 | −0.317590 | ||||||||
\(703\) | 201426. | − | 5.12415e6i | 0.0153719 | − | 0.391051i | ||||
\(704\) | 2.24006e6 | 0.170344 | ||||||||
\(705\) | 8.96214e6 | − | 7.52013e6i | 0.679108 | − | 0.569840i | ||||
\(706\) | 4.22721e6 | + | 1.53858e6i | 0.319185 | + | 0.116174i | ||||
\(707\) | 2.88556e6 | − | 1.63648e7i | 0.217111 | − | 1.23130i | ||||
\(708\) | −94220.3 | − | 534350.i | −0.00706418 | − | 0.0400629i | ||||
\(709\) | −1.21841e6 | + | 443464.i | −0.0910284 | + | 0.0331316i | −0.387133 | − | 0.922024i | \(-0.626535\pi\) |
0.296105 | + | 0.955156i | \(0.404312\pi\) | |||||||
\(710\) | 4.44718e6 | − | 7.70273e6i | 0.331084 | − | 0.573455i | ||||
\(711\) | 668073. | + | 1.15714e6i | 0.0495621 | + | 0.0858441i | ||||
\(712\) | −3.01278e6 | − | 2.52802e6i | −0.222724 | − | 0.186888i | ||||
\(713\) | −1.44415e7 | − | 1.21179e7i | −1.06387 | − | 0.892692i | ||||
\(714\) | −9.02833e6 | − | 1.56375e7i | −0.662768 | − | 1.14795i | ||||
\(715\) | 3.68121e6 | − | 6.37604e6i | 0.269293 | − | 0.466429i | ||||
\(716\) | 4.63316e6 | − | 1.68633e6i | 0.337750 | − | 0.122931i | ||||
\(717\) | 1.37320e6 | + | 7.78781e6i | 0.0997554 | + | 0.565741i | ||||
\(718\) | −2.22380e6 | + | 1.26118e7i | −0.160985 | + | 0.912990i | ||||
\(719\) | −3.35062e6 | − | 1.21953e6i | −0.241715 | − | 0.0879769i | 0.218322 | − | 0.975877i | \(-0.429942\pi\) |
−0.460037 | + | 0.887900i | \(0.652164\pi\) | |||||||
\(720\) | 1.23870e6 | − | 1.03939e6i | 0.0890503 | − | 0.0747221i | ||||
\(721\) | 2.86609e7 | 2.05329 | ||||||||
\(722\) | −8.06354e6 | + | 5.75120e6i | −0.575682 | + | 0.410597i | ||||
\(723\) | −1.75270e7 | −1.24699 | ||||||||
\(724\) | −1.60225e6 | + | 1.34445e6i | −0.113602 | + | 0.0953231i | ||||
\(725\) | −1.34310e6 | − | 488850.i | −0.0948996 | − | 0.0345406i | ||||
\(726\) | 1.05912e6 | − | 6.00656e6i | 0.0745766 | − | 0.422945i | ||||
\(727\) | −725067. | − | 4.11206e6i | −0.0508794 | − | 0.288551i | 0.948742 | − | 0.316050i | \(-0.102357\pi\) |
−0.999622 | + | 0.0274989i | \(0.991246\pi\) | |||||||
\(728\) | −3.34396e6 | + | 1.21710e6i | −0.233847 | + | 0.0851134i | ||||
\(729\) | −6.30450e6 | + | 1.09197e7i | −0.439372 | + | 0.761014i | ||||
\(730\) | 4.63214e6 | + | 8.02311e6i | 0.321718 | + | 0.557231i | ||||
\(731\) | 2.61819e7 | + | 2.19693e7i | 1.81221 | + | 1.52062i | ||||
\(732\) | −781710. | − | 655932.i | −0.0539222 | − | 0.0452461i | ||||
\(733\) | −6.38207e6 | − | 1.10541e7i | −0.438734 | − | 0.759910i | 0.558858 | − | 0.829263i | \(-0.311240\pi\) |
−0.997592 | + | 0.0693533i | \(0.977906\pi\) | |||||||
\(734\) | 3.33249e6 | − | 5.77205e6i | 0.228312 | − | 0.395448i | ||||
\(735\) | 1.60941e7 | − | 5.85779e6i | 1.09888 | − | 0.399959i | ||||
\(736\) | 397000. | + | 2.25150e6i | 0.0270145 | + | 0.153207i | ||||
\(737\) | 3.67323e6 | − | 2.08319e7i | 0.249103 | − | 1.41274i | ||||
\(738\) | 4.07443e6 | + | 1.48297e6i | 0.275376 | + | 0.100229i | ||||
\(739\) | 1.21917e7 | − | 1.02300e7i | 0.821206 | − | 0.689074i | −0.132048 | − | 0.991243i | \(-0.542155\pi\) |
0.953254 | + | 0.302169i | \(0.0977109\pi\) | |||||||
\(740\) | 2.72244e6 | 0.182759 | ||||||||
\(741\) | −176042. | + | 4.47840e6i | −0.0117780 | + | 0.299624i | ||||
\(742\) | 3.09905e6 | 0.206642 | ||||||||
\(743\) | −7.63798e6 | + | 6.40903e6i | −0.507582 | + | 0.425912i | −0.860277 | − | 0.509826i | \(-0.829710\pi\) |
0.352695 | + | 0.935738i | \(0.385265\pi\) | |||||||
\(744\) | 5.60948e6 | + | 2.04168e6i | 0.371527 | + | 0.135225i | ||||
\(745\) | 2.35572e6 | − | 1.33600e7i | 0.155501 | − | 0.881890i | ||||
\(746\) | 2.82135e6 | + | 1.60007e7i | 0.185614 | + | 1.05267i | ||||
\(747\) | −2.44662e6 | + | 890499.i | −0.160423 | + | 0.0583891i | ||||
\(748\) | −8.29101e6 | + | 1.43605e7i | −0.541818 | + | 0.938457i | ||||
\(749\) | −1.21004e7 | − | 2.09586e7i | −0.788128 | − | 1.36508i | ||||
\(750\) | 6.22773e6 | + | 5.22569e6i | 0.404275 | + | 0.339227i | ||||
\(751\) | 421588. | + | 353754.i | 0.0272765 | + | 0.0228877i | 0.656324 | − | 0.754479i | \(-0.272110\pi\) |
−0.629048 | + | 0.777367i | \(0.716555\pi\) | |||||||
\(752\) | 2.59647e6 | + | 4.49721e6i | 0.167432 | + | 0.290000i | ||||
\(753\) | −1.55155e6 | + | 2.68736e6i | −0.0997189 | + | 0.172718i | ||||
\(754\) | 3.47214e6 | − | 1.26375e6i | 0.222417 | − | 0.0809533i | ||||
\(755\) | 1.56846e6 | + | 8.89515e6i | 0.100139 | + | 0.567918i | ||||
\(756\) | −2.40893e6 | + | 1.36617e7i | −0.153292 | + | 0.869363i | ||||
\(757\) | 2.36414e7 | + | 8.60477e6i | 1.49946 | + | 0.545757i | 0.955919 | − | 0.293629i | \(-0.0948630\pi\) |
0.543536 | + | 0.839386i | \(0.317085\pi\) | |||||||
\(758\) | 374708. | − | 314418.i | 0.0236876 | − | 0.0198762i | ||||
\(759\) | 1.34877e7 | 0.849835 | ||||||||
\(760\) | −3.21903e6 | − | 4.15760e6i | −0.202158 | − | 0.261101i | ||||
\(761\) | 9.64716e6 | 0.603862 | 0.301931 | − | 0.953330i | \(-0.402369\pi\) | ||||
0.301931 | + | 0.953330i | \(0.402369\pi\) | |||||||
\(762\) | −1.03775e7 | + | 8.70773e6i | −0.647447 | + | 0.543272i | ||||
\(763\) | 1.23026e7 | + | 4.47778e6i | 0.765042 | + | 0.278453i | ||||
\(764\) | −2.30133e6 | + | 1.30515e7i | −0.142641 | + | 0.808959i | ||||
\(765\) | 2.07855e6 | + | 1.17881e7i | 0.128413 | + | 0.728264i | ||||
\(766\) | 5.35129e6 | − | 1.94771e6i | 0.329524 | − | 0.119937i | ||||
\(767\) | 395786. | − | 685521.i | 0.0242925 | − | 0.0420758i | ||||
\(768\) | −361967. | − | 626945.i | −0.0221445 | − | 0.0383554i | ||||
\(769\) | −1.59326e7 | − | 1.33690e7i | −0.971563 | − | 0.815238i | 0.0112319 | − | 0.999937i | \(-0.496425\pi\) |
−0.982795 | + | 0.184698i | \(0.940869\pi\) | |||||||
\(770\) | −1.88677e7 | − | 1.58319e7i | −1.14681 | − | 0.962291i | ||||
\(771\) | 1.04915e7 | + | 1.81718e7i | 0.635625 | + | 1.10094i | ||||
\(772\) | 5.98246e6 | − | 1.03619e7i | 0.361274 | − | 0.625745i | ||||
\(773\) | 1.93564e7 | − | 7.04515e6i | 1.16513 | − | 0.424074i | 0.314205 | − | 0.949355i | \(-0.398262\pi\) |
0.850929 | + | 0.525281i | \(0.176040\pi\) | |||||||
\(774\) | −1.51554e6 | − | 8.59503e6i | −0.0909314 | − | 0.515698i | ||||
\(775\) | 584972. | − | 3.31754e6i | 0.0349849 | − | 0.198409i | ||||
\(776\) | −9.46116e6 | − | 3.44358e6i | −0.564014 | − | 0.205284i | ||||
\(777\) | −5.94683e6 | + | 4.98999e6i | −0.353373 | + | 0.296515i | ||||
\(778\) | −8.33308e6 | −0.493579 | ||||||||
\(779\) | 5.33895e6 | − | 1.30494e7i | 0.315219 | − | 0.770455i | ||||
\(780\) | −2.37936e6 | −0.140031 | ||||||||
\(781\) | 1.78419e7 | − | 1.49711e7i | 1.04668 | − | 0.878268i | ||||
\(782\) | −1.59032e7 | − | 5.78830e6i | −0.929968 | − | 0.338481i | ||||
\(783\) | 2.50127e6 | − | 1.41854e7i | 0.145800 | − | 0.826870i | ||||
\(784\) | 1.32010e6 | + | 7.48666e6i | 0.0767037 | + | 0.435008i | ||||
\(785\) | 1.59432e6 | − | 580284.i | 0.0923422 | − | 0.0336098i | ||||
\(786\) | −441038. | + | 763900.i | −0.0254636 | + | 0.0441042i | ||||
\(787\) | 1.57192e7 | + | 2.72264e7i | 0.904677 | + | 1.56695i | 0.821350 | + | 0.570424i | \(0.193221\pi\) |
0.0833264 | + | 0.996522i | \(0.473446\pi\) | |||||||
\(788\) | −8.78381e6 | − | 7.37050e6i | −0.503927 | − | 0.422845i | ||||
\(789\) | 1.46558e7 | + | 1.22977e7i | 0.838141 | + | 0.703284i | ||||
\(790\) | 1.15330e6 | + | 1.99758e6i | 0.0657470 | + | 0.113877i | ||||
\(791\) | −4.80715e6 | + | 8.32623e6i | −0.273178 | + | 0.473159i | ||||
\(792\) | 3.97898e6 | − | 1.44823e6i | 0.225402 | − | 0.0820398i | ||||
\(793\) | −258510. | − | 1.46608e6i | −0.0145980 | − | 0.0827896i | ||||
\(794\) | 1.28038e6 | − | 7.26141e6i | 0.0720757 | − | 0.408761i | ||||
\(795\) | 1.94715e6 | + | 708705.i | 0.109265 | + | 0.0397693i | ||||
\(796\) | 3.14698e6 | − | 2.64063e6i | 0.176040 | − | 0.147715i | ||||
\(797\) | −1.25351e7 | −0.699006 | −0.349503 | − | 0.936935i | \(-0.613650\pi\) | ||||
−0.349503 | + | 0.936935i | \(0.613650\pi\) | |||||||
\(798\) | 1.46521e7 | + | 3.18157e6i | 0.814500 | + | 0.176862i | ||||
\(799\) | −3.84407e7 | −2.13022 | ||||||||
\(800\) | −312955. | + | 262600.i | −0.0172885 | + | 0.0145067i | ||||
\(801\) | −6.98595e6 | − | 2.54268e6i | −0.384719 | − | 0.140026i | ||||
\(802\) | −30901.4 | + | 175250.i | −0.00169645 | + | 0.00962107i | ||||
\(803\) | 4.21265e6 | + | 2.38911e7i | 0.230551 | + | 1.30752i | ||||
\(804\) | −6.42397e6 | + | 2.33813e6i | −0.350480 | + | 0.127564i | ||||
\(805\) | 1.25689e7 | − | 2.17700e7i | 0.683608 | − | 1.18404i | ||||
\(806\) | 4.35434e6 | + | 7.54194e6i | 0.236094 | + | 0.408926i | ||||
\(807\) | 4.86767e6 | + | 4.08446e6i | 0.263110 | + | 0.220775i | ||||
\(808\) | 3.77793e6 | + | 3.17006e6i | 0.203576 | + | 0.170820i | ||||
\(809\) | 7.57117e6 | + | 1.31136e7i | 0.406716 | + | 0.704453i | 0.994520 | − | 0.104551i | \(-0.0333405\pi\) |
−0.587803 | + | 0.809004i | \(0.700007\pi\) | |||||||
\(810\) | −1.56798e6 | + | 2.71583e6i | −0.0839709 | + | 0.145442i | ||||
\(811\) | −2.98854e6 | + | 1.08774e6i | −0.159554 | + | 0.0580728i | −0.420562 | − | 0.907264i | \(-0.638167\pi\) |
0.261009 | + | 0.965336i | \(0.415945\pi\) | |||||||
\(812\) | −2.14648e6 | − | 1.21733e7i | −0.114245 | − | 0.647914i | ||||
\(813\) | 3.28377e6 | − | 1.86232e7i | 0.174239 | − | 0.988161i | ||||
\(814\) | 6.69912e6 | + | 2.43828e6i | 0.354370 | + | 0.128980i | ||||
\(815\) | −8.90133e6 | + | 7.46911e6i | −0.469419 | + | 0.393890i | ||||
\(816\) | 5.35892e6 | 0.281742 | ||||||||
\(817\) | −2.81209e7 | + | 3.82655e6i | −1.47392 | + | 0.200563i | ||||
\(818\) | −2.80811e6 | −0.146734 | ||||||||
\(819\) | −5.15294e6 | + | 4.32383e6i | −0.268439 | + | 0.225247i | ||||
\(820\) | 7.03375e6 | + | 2.56008e6i | 0.365302 | + | 0.132959i | ||||
\(821\) | 2.78992e6 | − | 1.58224e7i | 0.144455 | − | 0.819246i | −0.823348 | − | 0.567537i | \(-0.807896\pi\) |
0.967803 | − | 0.251709i | \(-0.0809926\pi\) | |||||||
\(822\) | 1.11215e6 | + | 6.30732e6i | 0.0574095 | + | 0.325586i | ||||
\(823\) | −1.66869e7 | + | 6.07354e6i | −0.858769 | + | 0.312566i | −0.733610 | − | 0.679570i | \(-0.762166\pi\) |
−0.125159 | + | 0.992137i | \(0.539944\pi\) | |||||||
\(824\) | −4.25304e6 | + | 7.36648e6i | −0.218213 | + | 0.377956i | ||||
\(825\) | 1.20508e6 | + | 2.08726e6i | 0.0616426 | + | 0.106768i | ||||
\(826\) | −2.02857e6 | − | 1.70217e6i | −0.103452 | − | 0.0868066i | ||||
\(827\) | 1.37433e6 | + | 1.15320e6i | 0.0698760 | + | 0.0586329i | 0.677057 | − | 0.735931i | \(-0.263255\pi\) |
−0.607181 | + | 0.794564i | \(0.707700\pi\) | |||||||
\(828\) | 2.16081e6 | + | 3.74264e6i | 0.109532 | + | 0.189715i | ||||
\(829\) | −1.18964e7 | + | 2.06051e7i | −0.601212 | + | 1.04133i | 0.391426 | + | 0.920210i | \(0.371982\pi\) |
−0.992638 | + | 0.121120i | \(0.961351\pi\) | |||||||
\(830\) | −4.22364e6 | + | 1.53728e6i | −0.212810 | + | 0.0774565i | ||||
\(831\) | −4.56815e6 | − | 2.59073e7i | −0.229476 | − | 1.30143i | ||||
\(832\) | 183394. | − | 1.04008e6i | 0.00918495 | − | 0.0520904i | ||||
\(833\) | −5.28811e7 | − | 1.92471e7i | −2.64051 | − | 0.961067i | ||||
\(834\) | 3.09882e6 | − | 2.60022e6i | 0.154270 | − | 0.129448i | ||||
\(835\) | −2.09789e7 | −1.04128 | ||||||||
\(836\) | −4.19744e6 | − | 1.31136e7i | −0.207715 | − | 0.648945i | ||||
\(837\) | 3.39494e7 | 1.67501 | ||||||||
\(838\) | −1.70235e7 | + | 1.42844e7i | −0.837413 | + | 0.702673i | ||||
\(839\) | 4.53816e6 | + | 1.65175e6i | 0.222574 | + | 0.0810104i | 0.450900 | − | 0.892574i | \(-0.351103\pi\) |
−0.228326 | + | 0.973585i | \(0.573325\pi\) | |||||||
\(840\) | −1.38221e6 | + | 7.83893e6i | −0.0675892 | + | 0.383317i | ||||
\(841\) | −1.33297e6 | − | 7.55963e6i | −0.0649875 | − | 0.368562i | ||||
\(842\) | 7.93871e6 | − | 2.88945e6i | 0.385896 | − | 0.140454i | ||||
\(843\) | 5.13307e6 | − | 8.89075e6i | 0.248776 | − | 0.430893i | ||||
\(844\) | −2.40445e6 | − | 4.16464e6i | −0.116188 | − | 0.201243i | ||||
\(845\) | 1.21913e7 | + | 1.02297e7i | 0.587365 | + | 0.492858i | ||||
\(846\) | 7.51957e6 | + | 6.30967e6i | 0.361216 | + | 0.303096i | ||||
\(847\) | −1.48835e7 | − | 2.57790e7i | −0.712847 | − | 1.23469i | ||||
\(848\) | −459874. | + | 796525.i | −0.0219608 | + | 0.0380373i | ||||
\(849\) | −3.34080e6 | + | 1.21595e6i | −0.159068 | + | 0.0578959i | ||||
\(850\) | −525141. | − | 2.97822e6i | −0.0249304 | − | 0.141387i | ||||
\(851\) | −1.26347e6 | + | 7.16547e6i | −0.0598053 | + | 0.339173i | ||||
\(852\) | −7.07315e6 | − | 2.57442e6i | −0.333821 | − | 0.121501i | ||||
\(853\) | 2.23170e6 | − | 1.87262e6i | 0.105018 | − | 0.0881205i | −0.588767 | − | 0.808303i | \(-0.700386\pi\) |
0.693785 | + | 0.720182i | \(0.255942\pi\) | |||||||
\(854\) | −4.98027e6 | −0.233673 | ||||||||
\(855\) | −8.40586e6 | − | 5.30392e6i | −0.393248 | − | 0.248132i | ||||
\(856\) | 7.18243e6 | 0.335033 | ||||||||
\(857\) | 4.45676e6 | − | 3.73966e6i | 0.207285 | − | 0.173932i | −0.533235 | − | 0.845967i | \(-0.679024\pi\) |
0.740520 | + | 0.672035i | \(0.234579\pi\) | |||||||
\(858\) | −5.85490e6 | − | 2.13101e6i | −0.271519 | − | 0.0988250i | ||||
\(859\) | 2.65729e6 | − | 1.50703e7i | 0.122873 | − | 0.696847i | −0.859676 | − | 0.510841i | \(-0.829334\pi\) |
0.982548 | − | 0.186007i | \(-0.0595546\pi\) | |||||||
\(860\) | −2.61629e6 | − | 1.48377e7i | −0.120626 | − | 0.684103i | ||||
\(861\) | −2.00567e7 | + | 7.30005e6i | −0.922045 | + | 0.335597i | ||||
\(862\) | −1.05933e6 | + | 1.83482e6i | −0.0485585 | + | 0.0841057i | ||||
\(863\) | 1.29032e7 | + | 2.23490e7i | 0.589754 | + | 1.02148i | 0.994264 | + | 0.106950i | \(0.0341085\pi\) |
−0.404511 | + | 0.914533i | \(0.632558\pi\) | |||||||
\(864\) | −3.15390e6 | − | 2.64644e6i | −0.143735 | − | 0.120608i | ||||
\(865\) | 1.15984e7 | + | 9.73220e6i | 0.527057 | + | 0.442253i | ||||
\(866\) | −6.80774e6 | − | 1.17913e7i | −0.308467 | − | 0.534280i | ||||
\(867\) | −1.19926e7 | + | 2.07718e7i | −0.541832 | + | 0.938481i | ||||
\(868\) | 2.73768e7 | − | 9.96435e6i | 1.23334 | − | 0.448900i | ||||
\(869\) | 1.04886e6 | + | 5.94838e6i | 0.0471159 | + | 0.267208i | ||||
\(870\) | 1.43520e6 | − | 8.13941e6i | 0.0642856 | − | 0.364582i | ||||
\(871\) | −9.37172e6 | − | 3.41103e6i | −0.418576 | − | 0.152349i | ||||
\(872\) | −2.97649e6 | + | 2.49757e6i | −0.132560 | + | 0.111231i | ||||
\(873\) | −1.90320e7 | −0.845180 | ||||||||
\(874\) | 1.24367e7 | − | 6.54298e6i | 0.550716 | − | 0.289732i | ||||
\(875\) | 3.96768e7 | 1.75193 | ||||||||
\(876\) | 6.00591e6 | − | 5.03956e6i | 0.264435 | − | 0.221887i | ||||
\(877\) | −3.77041e7 | − | 1.37232e7i | −1.65535 | − | 0.602497i | −0.665726 | − | 0.746196i | \(-0.731878\pi\) |
−0.989621 | + | 0.143699i | \(0.954100\pi\) | |||||||
\(878\) | 394627. | − | 2.23804e6i | 0.0172763 | − | 0.0979787i | ||||
\(879\) | −550927. | − | 3.12446e6i | −0.0240504 | − | 0.136396i | ||||
\(880\) | 6.86897e6 | − | 2.50010e6i | 0.299009 | − | 0.108830i | ||||
\(881\) | 8.57520e6 | − | 1.48527e7i | 0.372224 | − | 0.644711i | −0.617683 | − | 0.786427i | \(-0.711929\pi\) |
0.989907 | + | 0.141716i | \(0.0452619\pi\) | |||||||
\(882\) | 7.18510e6 | + | 1.24450e7i | 0.311001 | + | 0.538669i | ||||
\(883\) | 8.40421e6 | + | 7.05197e6i | 0.362740 | + | 0.304375i | 0.805882 | − | 0.592077i | \(-0.201692\pi\) |
−0.443142 | + | 0.896452i | \(0.646136\pi\) | |||||||
\(884\) | 5.98890e6 | + | 5.02528e6i | 0.257761 | + | 0.216287i | ||||
\(885\) | −885300. | − | 1.53339e6i | −0.0379955 | − | 0.0658102i | ||||
\(886\) | −6.38729e6 | + | 1.10631e7i | −0.273358 | + | 0.473470i | ||||
\(887\) | 1.64746e7 | − | 5.99626e6i | 0.703082 | − | 0.255901i | 0.0343556 | − | 0.999410i | \(-0.489062\pi\) |
0.668726 | + | 0.743509i | \(0.266840\pi\) | |||||||
\(888\) | −400076. | − | 2.26894e6i | −0.0170259 | − | 0.0965586i | ||||
\(889\) | −1.14807e7 | + | 6.51103e7i | −0.487208 | + | 2.76309i | ||||
\(890\) | −1.20599e7 | − | 4.38946e6i | −0.510352 | − | 0.185753i | ||||
\(891\) | −6.29069e6 | + | 5.27852e6i | −0.265463 | + | 0.222750i | ||||
\(892\) | −1.79174e7 | −0.753984 | ||||||||
\(893\) | 2.14621e7 | − | 2.36270e7i | 0.900624 | − | 0.991471i | ||||
\(894\) | −1.14807e7 | −0.480422 | ||||||||
\(895\) | 1.23251e7 | − | 1.03420e7i | 0.514321 | − | 0.431567i | ||||
\(896\) | −3.32006e6 | − | 1.20840e6i | −0.138158 | − | 0.0502854i | ||||
\(897\) | 1.10424e6 | − | 6.26248e6i | 0.0458230 | − | 0.259875i | ||||
\(898\) | 888874. | + | 5.04106e6i | 0.0367832 | + | 0.208608i | ||||
\(899\) | −2.84262e7 | + | 1.03463e7i | −1.17306 | + | 0.426959i | ||||
\(900\) | −386121. | + | 668782.i | −0.0158898 | + | 0.0275219i | ||||
\(901\) | −3.40421e6 | − | 5.89627e6i | −0.139703 | − | 0.241972i | ||||
\(902\) | 1.50151e7 | + | 1.25992e7i | 0.614486 | + | 0.515615i | ||||
\(903\) | 3.29111e7 | + | 2.76157e7i | 1.34315 | + | 1.12703i | ||||
\(904\) | −1.42668e6 | − | 2.47109e6i | −0.0580639 | − | 0.100570i | ||||
\(905\) | −3.41266e6 | + | 5.91091e6i | −0.138507 | + | 0.239901i | ||||
\(906\) | 7.18291e6 | − | 2.61437e6i | 0.290723 | − | 0.105815i | ||||
\(907\) | −7.55972e6 | − | 4.28733e7i | −0.305132 | − | 1.73049i | −0.622884 | − | 0.782315i | \(-0.714039\pi\) |
0.317752 | − | 0.948174i | \(-0.397072\pi\) | |||||||
\(908\) | 3.96504e6 | − | 2.24868e7i | 0.159600 | − | 0.905136i | ||||
\(909\) | 8.76017e6 | + | 3.18844e6i | 0.351644 | + | 0.127988i | ||||
\(910\) | −8.89560e6 | + | 7.46429e6i | −0.356100 | + | 0.298803i | ||||
\(911\) | −6.91498e6 | −0.276055 | −0.138027 | − | 0.990428i | \(-0.544076\pi\) | ||||
−0.138027 | + | 0.990428i | \(0.544076\pi\) | |||||||
\(912\) | −2.99198e6 | + | 3.29379e6i | −0.119116 | + | 0.131132i | ||||
\(913\) | −1.17699e7 | −0.467302 | ||||||||
\(914\) | 1.57961e7 | − | 1.32545e7i | 0.625439 | − | 0.524806i | ||||
\(915\) | −3.12913e6 | − | 1.13891e6i | −0.123558 | − | 0.0449714i | ||||
\(916\) | 2.34344e6 | − | 1.32903e7i | 0.0922815 | − | 0.523355i | ||||
\(917\) | 747544. | + | 4.23953e6i | 0.0293571 | + | 0.166493i | ||||
\(918\) | 2.86390e7 | − | 1.04238e7i | 1.12164 | − | 0.408242i | ||||
\(919\) | −7.10540e6 | + | 1.23069e7i | −0.277523 | + | 0.480685i | −0.970769 | − | 0.240017i | \(-0.922847\pi\) |
0.693245 | + | 0.720702i | \(0.256180\pi\) | |||||||
\(920\) | 3.73024e6 | + | 6.46097e6i | 0.145301 | + | 0.251668i | ||||
\(921\) | −604052. | − | 506860.i | −0.0234653 | − | 0.0196897i | ||||
\(922\) | −1.14476e7 | − | 9.60565e6i | −0.443492 | − | 0.372134i | ||||
\(923\) | −5.49051e6 | − | 9.50985e6i | −0.212133 | − | 0.367425i | ||||
\(924\) | −1.04219e7 | + | 1.80513e7i | −0.401577 | + | 0.695551i | ||||
\(925\) | −1.22176e6 | + | 444684.i | −0.0469496 | + | 0.0170882i | ||||
\(926\) | 5.25987e6 | + | 2.98302e7i | 0.201580 | + | 1.14322i | ||||
\(927\) | −2.79207e6 | + | 1.58346e7i | −0.106715 | + | 0.605212i | ||||
\(928\) | 3.44732e6 | + | 1.25472e6i | 0.131405 | + | 0.0478275i | ||||
\(929\) | −3.44600e6 | + | 2.89154e6i | −0.131001 | + | 0.109923i | −0.705934 | − | 0.708277i | \(-0.749473\pi\) |
0.574933 | + | 0.818201i | \(0.305028\pi\) | |||||||
\(930\) | 1.94797e7 | 0.738542 | ||||||||
\(931\) | 4.13544e7 | − | 2.17566e7i | 1.56368 | − | 0.822654i | ||||
\(932\) | 7.71338e6 | 0.290874 | ||||||||
\(933\) | 1.61851e7 | − | 1.35809e7i | 0.608712 | − | 0.510770i | ||||
\(934\) | 3.02438e7 | + | 1.10078e7i | 1.13441 | + | 0.412890i | ||||
\(935\) | −9.39624e6 | + | 5.32887e7i | −0.351500 | + | 1.99345i | ||||
\(936\) | −346666. | − | 1.96604e6i | −0.0129337 | − | 0.0733505i | ||||
\(937\) | 1.85891e7 | − | 6.76588e6i | 0.691687 | − | 0.251754i | 0.0278297 | − | 0.999613i | \(-0.491140\pi\) |
0.663857 | + | 0.747859i | \(0.268918\pi\) | |||||||
\(938\) | −1.66820e7 | + | 2.88941e7i | −0.619073 | + | 1.07227i | ||||
\(939\) | −4.77163e6 | − | 8.26471e6i | −0.176605 | − | 0.305889i | ||||
\(940\) | 1.29811e7 | + | 1.08925e7i | 0.479174 | + | 0.402075i | ||||
\(941\) | −3.07757e6 | − | 2.58239e6i | −0.113301 | − | 0.0950708i | 0.584377 | − | 0.811482i | \(-0.301339\pi\) |
−0.697678 | + | 0.716411i | \(0.745783\pi\) | |||||||
\(942\) | −717913. | − | 1.24346e6i | −0.0263599 | − | 0.0456567i | ||||
\(943\) | −1.00024e7 | + | 1.73247e7i | −0.366291 | + | 0.634435i | ||||
\(944\) | 738518. | − | 268799.i | 0.0269731 | − | 0.00981741i | ||||
\(945\) | 7.86087e6 | + | 4.45812e7i | 0.286346 | + | 1.62395i | ||||
\(946\) | 6.85108e6 | − | 3.88544e7i | 0.248904 | − | 1.41160i | ||||
\(947\) | 1.20042e7 | + | 4.36917e6i | 0.434969 | + | 0.158316i | 0.550218 | − | 0.835021i | \(-0.314545\pi\) |
−0.115250 | + | 0.993337i | \(0.536767\pi\) | |||||||
\(948\) | 1.49534e6 | − | 1.25474e6i | 0.0540406 | − | 0.0453454i | ||||
\(949\) | 1.14378e7 | 0.412264 | ||||||||
\(950\) | 2.12372e6 | + | 1.34002e6i | 0.0763463 | + | 0.0481730i | ||||
\(951\) | −2.75725e7 | −0.988608 | ||||||||
\(952\) | 2.00351e7 | − | 1.68115e7i | 0.716473 | − | 0.601192i | ||||
\(953\) | 2.43850e7 | + | 8.87542e6i | 0.869743 | + | 0.316561i | 0.738063 | − | 0.674732i | \(-0.235741\pi\) |
0.131680 | + | 0.991292i | \(0.457963\pi\) | |||||||
\(954\) | −301901. | + | 1.71217e6i | −0.0107398 | + | 0.0609082i | ||||
\(955\) | 7.50974e6 | + | 4.25899e7i | 0.266450 | + | 1.51112i | ||||
\(956\) | −1.07634e7 | + | 3.91757e6i | −0.380896 | + | 0.138635i | ||||
\(957\) | 1.08214e7 | − | 1.87433e7i | 0.381949 | − | 0.661554i | ||||
\(958\) | 619442. | + | 1.07290e6i | 0.0218065 | + | 0.0377700i | ||||
\(959\) | 2.39446e7 | + | 2.00919e7i | 0.840740 | + | 0.705464i | ||||
\(960\) | −1.80967e6 | − | 1.51849e6i | −0.0633755 | − | 0.0531783i | ||||
\(961\) | −2.13342e7 | − | 3.69519e7i | −0.745192 | − | 1.29071i | ||||
\(962\) | 1.68057e6 | − | 2.91084e6i | 0.0585491 | − | 0.101410i | ||||
\(963\) | 1.27580e7 | − | 4.64354e6i | 0.443320 | − | 0.161355i | ||||
\(964\) | −4.40839e6 | − | 2.50012e7i | −0.152787 | − | 0.866500i | ||||
\(965\) | 6.77995e6 | − | 3.84510e7i | 0.234373 | − | 1.32920i | ||||
\(966\) | −1.99906e7 | − | 7.27598e6i | −0.689260 | − | 0.250870i | ||||
\(967\) | 2.77809e7 | − | 2.33109e7i | 0.955389 | − | 0.801666i | −0.0248082 | − | 0.999692i | \(-0.507898\pi\) |
0.980197 | + | 0.198026i | \(0.0634531\pi\) | |||||||
\(968\) | 8.83436e6 | 0.303031 | ||||||||
\(969\) | −1.00416e7 | − | 3.13719e7i | −0.343552 | − | 1.07333i | ||||
\(970\) | −3.28552e7 | −1.12118 | ||||||||
\(971\) | 5.38198e6 | − | 4.51602e6i | 0.183187 | − | 0.153712i | −0.546583 | − | 0.837405i | \(-0.684072\pi\) |
0.729770 | + | 0.683693i | \(0.239627\pi\) | |||||||
\(972\) | −1.21956e7 | − | 4.43885e6i | −0.414036 | − | 0.150697i | ||||
\(973\) | 3.42826e6 | − | 1.94426e7i | 0.116089 | − | 0.658374i | ||||
\(974\) | −2.24489e6 | − | 1.27314e7i | −0.0758224 | − | 0.430010i | ||||
\(975\) | 1.06779e6 | − | 388645.i | 0.0359729 | − | 0.0130931i | ||||
\(976\) | 739031. | − | 1.28004e6i | 0.0248335 | − | 0.0430129i | ||||
\(977\) | 1.72076e7 | + | 2.98044e7i | 0.576744 | + | 0.998949i | 0.995850 | + | 0.0910122i | \(0.0290102\pi\) |
−0.419106 | + | 0.907937i | \(0.637656\pi\) | |||||||
\(978\) | 7.53300e6 | + | 6.32094e6i | 0.251838 | + | 0.211317i | ||||
\(979\) | −2.57446e7 | − | 2.16023e7i | −0.858479 | − | 0.720349i | ||||
\(980\) | 1.24037e7 | + | 2.14839e7i | 0.412560 | + | 0.714575i | ||||
\(981\) | −3.67238e6 | + | 6.36074e6i | −0.121836 | + | 0.211026i | ||||
\(982\) | 2.75189e7 | − | 1.00161e7i | 0.910651 | − | 0.331450i | ||||
\(983\) | 1.61036e6 | + | 9.13281e6i | 0.0531544 | + | 0.301454i | 0.999782 | − | 0.0208754i | \(-0.00664533\pi\) |
−0.946628 | + | 0.322329i | \(0.895534\pi\) | |||||||
\(984\) | 1.09998e6 | − | 6.23829e6i | 0.0362157 | − | 0.205389i | ||||
\(985\) | −3.51610e7 | − | 1.27976e7i | −1.15470 | − | 0.420278i | ||||
\(986\) | −2.08031e7 | + | 1.74559e7i | −0.681453 | + | 0.571807i | ||||
\(987\) | −4.83205e7 | −1.57884 | ||||||||
\(988\) | −6.43243e6 | + | 875290.i | −0.209644 | + | 0.0285272i | ||||
\(989\) | 4.02671e7 | 1.30906 | ||||||||
\(990\) | 1.05849e7 | − | 8.88177e6i | 0.343240 | − | 0.288013i | ||||
\(991\) | −3.53238e7 | − | 1.28568e7i | −1.14257 | − | 0.415862i | −0.299730 | − | 0.954024i | \(-0.596897\pi\) |
−0.842842 | + | 0.538162i | \(0.819119\pi\) | |||||||
\(992\) | −1.50144e6 | + | 8.51508e6i | −0.0484427 | + | 0.274732i | ||||
\(993\) | 2.35762e6 | + | 1.33708e7i | 0.0758755 | + | 0.430311i | ||||
\(994\) | −3.45202e7 | + | 1.25643e7i | −1.10817 | + | 0.403342i | ||||
\(995\) | 6.70281e6 | − | 1.16096e7i | 0.214634 | − | 0.371757i | ||||
\(996\) | 1.90189e6 | + | 3.29416e6i | 0.0607486 | + | 0.105220i | ||||
\(997\) | −5.49638e6 | − | 4.61201e6i | −0.175121 | − | 0.146944i | 0.551014 | − | 0.834496i | \(-0.314241\pi\) |
−0.726135 | + | 0.687552i | \(0.758685\pi\) | |||||||
\(998\) | −1.32253e7 | − | 1.10974e7i | −0.420320 | − | 0.352690i | ||||
\(999\) | −6.55144e6 | − | 1.13474e7i | −0.207694 | − | 0.359736i |
(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 | 38.6.e.b.25.2 | ✓ | 30 | |
19.4 | even | 9 | 722.6.a.r.1.11 | 15 | |||
19.15 | odd | 18 | 722.6.a.q.1.5 | 15 | |||
19.16 | even | 9 | inner | 38.6.e.b.35.2 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.6.e.b.25.2 | ✓ | 30 | 1.1 | even | 1 | trivial | |
38.6.e.b.35.2 | yes | 30 | 19.16 | even | 9 | inner | |
722.6.a.q.1.5 | 15 | 19.15 | odd | 18 | |||
722.6.a.r.1.11 | 15 | 19.4 | even | 9 |