Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,7,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), 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: | \(9.89232559565\) |
Analytic rank: | \(0\) |
Dimension: | \(252\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 12.20 | ||
Character | \(\chi\) | \(=\) | 43.12 |
Dual form | 43.7.h.a.18.20 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{13}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 6.34296 | + | 13.1713i | 0.792870 | + | 1.64641i | 0.762601 | + | 0.646869i | \(0.223922\pi\) |
0.0302685 | + | 0.999542i | \(0.490364\pi\) | |||||||
\(3\) | 10.7567 | + | 15.7772i | 0.398397 | + | 0.584341i | 0.972055 | − | 0.234754i | \(-0.0754284\pi\) |
−0.573658 | + | 0.819095i | \(0.694476\pi\) | |||||||
\(4\) | −93.3463 | + | 117.053i | −1.45854 | + | 1.82895i | ||||
\(5\) | −134.366 | + | 144.812i | −1.07493 | + | 1.15850i | −0.0882033 | + | 0.996102i | \(0.528113\pi\) |
−0.986726 | + | 0.162396i | \(0.948078\pi\) | |||||||
\(6\) | −139.577 | + | 241.754i | −0.646189 | + | 1.11923i | ||||
\(7\) | 570.233 | − | 329.224i | 1.66249 | − | 0.959838i | 0.690966 | − | 0.722888i | \(-0.257186\pi\) |
0.971522 | − | 0.236950i | \(-0.0761478\pi\) | |||||||
\(8\) | −1221.67 | − | 278.837i | −2.38607 | − | 0.544604i | ||||
\(9\) | 133.120 | − | 339.185i | 0.182607 | − | 0.465274i | ||||
\(10\) | −2759.64 | − | 851.237i | −2.75964 | − | 0.851237i | ||||
\(11\) | 745.090 | + | 934.314i | 0.559797 | + | 0.701964i | 0.978520 | − | 0.206150i | \(-0.0660936\pi\) |
−0.418723 | + | 0.908114i | \(0.637522\pi\) | |||||||
\(12\) | −2850.86 | − | 213.643i | −1.64981 | − | 0.123636i | ||||
\(13\) | 815.676 | − | 251.603i | 0.371268 | − | 0.114521i | −0.103506 | − | 0.994629i | \(-0.533006\pi\) |
0.474774 | + | 0.880108i | \(0.342530\pi\) | |||||||
\(14\) | 7953.27 | + | 5422.45i | 2.89842 | + | 1.97611i | ||||
\(15\) | −3730.07 | − | 562.218i | −1.10521 | − | 0.166583i | ||||
\(16\) | −1944.17 | − | 8517.98i | −0.474651 | − | 2.07958i | ||||
\(17\) | −4602.80 | + | 4270.77i | −0.936861 | + | 0.869280i | −0.991616 | − | 0.129220i | \(-0.958753\pi\) |
0.0547550 | + | 0.998500i | \(0.482562\pi\) | |||||||
\(18\) | 5311.88 | − | 398.070i | 0.910816 | − | 0.0682562i | ||||
\(19\) | −1274.80 | + | 500.323i | −0.185858 | + | 0.0729441i | −0.456445 | − | 0.889752i | \(-0.650878\pi\) |
0.270587 | + | 0.962696i | \(0.412782\pi\) | |||||||
\(20\) | −4408.06 | − | 29245.6i | −0.551008 | − | 3.65570i | ||||
\(21\) | 11328.1 | + | 5455.32i | 1.22320 | + | 0.589063i | ||||
\(22\) | −7580.04 | + | 15740.1i | −0.711874 | + | 1.47822i | ||||
\(23\) | −9950.59 | + | 1499.81i | −0.817835 | + | 0.123269i | −0.544618 | − | 0.838684i | \(-0.683326\pi\) |
−0.273216 | + | 0.961953i | \(0.588087\pi\) | |||||||
\(24\) | −8741.84 | − | 22273.8i | −0.632367 | − | 1.61124i | ||||
\(25\) | −1748.67 | − | 23334.4i | −0.111915 | − | 1.49340i | ||||
\(26\) | 8487.73 | + | 9147.60i | 0.482916 | + | 0.520460i | ||||
\(27\) | 20354.7 | − | 4645.83i | 1.03413 | − | 0.236033i | ||||
\(28\) | −14692.6 | + | 97479.2i | −0.669307 | + | 4.44056i | ||||
\(29\) | 15643.3 | − | 22944.5i | 0.641406 | − | 0.940770i | −0.358567 | − | 0.933504i | \(-0.616735\pi\) |
0.999974 | − | 0.00726651i | \(-0.00231302\pi\) | |||||||
\(30\) | −16254.6 | − | 52696.0i | −0.602021 | − | 1.95170i | ||||
\(31\) | −2036.95 | + | 27181.2i | −0.0683747 | + | 0.912397i | 0.852547 | + | 0.522650i | \(0.175057\pi\) |
−0.920922 | + | 0.389747i | \(0.872562\pi\) | |||||||
\(32\) | 37160.1 | − | 29634.2i | 1.13404 | − | 0.904364i | ||||
\(33\) | −6726.14 | + | 21805.6i | −0.187165 | + | 0.606773i | ||||
\(34\) | −85446.9 | − | 33535.4i | −2.17400 | − | 0.853232i | ||||
\(35\) | −28944.3 | + | 126813.i | −0.675086 | + | 2.95775i | ||||
\(36\) | 27276.2 | + | 47243.7i | 0.584623 | + | 1.01260i | ||||
\(37\) | 15416.6 | + | 8900.75i | 0.304356 | + | 0.175720i | 0.644398 | − | 0.764690i | \(-0.277108\pi\) |
−0.340042 | + | 0.940410i | \(0.610441\pi\) | |||||||
\(38\) | −14675.9 | − | 13617.3i | −0.267457 | − | 0.248164i | ||||
\(39\) | 12743.6 | + | 10162.7i | 0.214831 | + | 0.171322i | ||||
\(40\) | 204529. | − | 139446.i | 3.19577 | − | 2.17884i | ||||
\(41\) | 8652.63 | − | 4166.88i | 0.125544 | − | 0.0604589i | −0.370057 | − | 0.929009i | \(-0.620662\pi\) |
0.495601 | + | 0.868550i | \(0.334948\pi\) | |||||||
\(42\) | 183808.i | 2.48094i | ||||||||
\(43\) | 63023.4 | − | 48470.8i | 0.792677 | − | 0.609642i | ||||
\(44\) | −178915. | −2.10034 | ||||||||
\(45\) | 31231.3 | + | 64852.4i | 0.342730 | + | 0.711686i | ||||
\(46\) | −82870.6 | − | 121549.i | −0.851387 | − | 1.24876i | ||||
\(47\) | −62817.8 | + | 78771.0i | −0.605047 | + | 0.758705i | −0.986155 | − | 0.165825i | \(-0.946971\pi\) |
0.381108 | + | 0.924531i | \(0.375543\pi\) | |||||||
\(48\) | 113477. | − | 122299.i | 1.02609 | − | 1.10586i | ||||
\(49\) | 157953. | − | 273582.i | 1.34258 | − | 2.32541i | ||||
\(50\) | 296253. | − | 171041.i | 2.37002 | − | 1.36833i | ||||
\(51\) | −116892. | − | 26679.8i | −0.881199 | − | 0.201128i | ||||
\(52\) | −46689.6 | + | 118963.i | −0.332055 | + | 0.846063i | ||||
\(53\) | 145066. | + | 44747.0i | 0.974404 | + | 0.300564i | 0.740768 | − | 0.671761i | \(-0.234462\pi\) |
0.233635 | + | 0.972324i | \(0.424938\pi\) | |||||||
\(54\) | 190301. | + | 238630.i | 1.20854 | + | 1.51546i | ||||
\(55\) | −235415. | − | 17641.9i | −1.41497 | − | 0.106037i | ||||
\(56\) | −788434. | + | 243200.i | −4.48953 | + | 1.38484i | ||||
\(57\) | −21606.4 | − | 14731.0i | −0.116670 | − | 0.0795440i | ||||
\(58\) | 401432. | + | 60506.2i | 2.05745 | + | 0.310110i | ||||
\(59\) | 50111.9 | + | 219554.i | 0.243997 | + | 1.06902i | 0.937341 | + | 0.348414i | \(0.113280\pi\) |
−0.693344 | + | 0.720607i | \(0.743863\pi\) | |||||||
\(60\) | 413998. | − | 384134.i | 1.91666 | − | 1.77840i | ||||
\(61\) | 177268. | − | 13284.4i | 0.780981 | − | 0.0585264i | 0.321728 | − | 0.946832i | \(-0.395736\pi\) |
0.459253 | + | 0.888306i | \(0.348117\pi\) | |||||||
\(62\) | −370932. | + | 145580.i | −1.55639 | + | 0.610839i | ||||
\(63\) | −35758.3 | − | 237241.i | −0.143006 | − | 0.948785i | ||||
\(64\) | 122231. | + | 58863.3i | 0.466274 | + | 0.224546i | ||||
\(65\) | −73164.1 | + | 151927.i | −0.266414 | + | 0.553215i | ||||
\(66\) | −329871. | + | 49720.1i | −1.14739 | + | 0.172942i | ||||
\(67\) | 20337.2 | + | 51818.3i | 0.0676187 | + | 0.172290i | 0.960689 | − | 0.277628i | \(-0.0895484\pi\) |
−0.893070 | + | 0.449918i | \(0.851453\pi\) | |||||||
\(68\) | −70250.7 | − | 937430.i | −0.223421 | − | 2.98135i | ||||
\(69\) | −130699. | − | 140860.i | −0.397854 | − | 0.428785i | ||||
\(70\) | −1.85389e6 | + | 423138.i | −5.40492 | + | 1.23364i | ||||
\(71\) | 12118.0 | − | 80397.9i | 0.0338577 | − | 0.224631i | −0.965503 | − | 0.260393i | \(-0.916148\pi\) |
0.999360 | + | 0.0357623i | \(0.0113859\pi\) | |||||||
\(72\) | −257206. | + | 377251.i | −0.689101 | + | 1.01073i | ||||
\(73\) | −155599. | − | 504441.i | −0.399981 | − | 1.29671i | −0.901957 | − | 0.431825i | \(-0.857870\pi\) |
0.501977 | − | 0.864881i | \(-0.332606\pi\) | |||||||
\(74\) | −19447.8 | + | 259513.i | −0.0479927 | + | 0.640418i | ||||
\(75\) | 349342. | − | 278591.i | 0.828070 | − | 0.660364i | ||||
\(76\) | 60434.0 | − | 195922.i | 0.137670 | − | 0.446317i | ||||
\(77\) | 732474. | + | 287475.i | 1.60443 | + | 0.629691i | ||||
\(78\) | −53023.4 | + | 232311.i | −0.111734 | + | 0.489537i | ||||
\(79\) | 110504. | + | 191398.i | 0.224127 | + | 0.388200i | 0.956057 | − | 0.293180i | \(-0.0947135\pi\) |
−0.731930 | + | 0.681380i | \(0.761380\pi\) | |||||||
\(80\) | 1.49474e6 | + | 862987.i | 2.91941 | + | 1.68552i | ||||
\(81\) | 97529.7 | + | 90494.3i | 0.183519 | + | 0.170281i | ||||
\(82\) | 109766. | + | 87535.8i | 0.199080 | + | 0.158761i | ||||
\(83\) | 553695. | − | 377503.i | 0.968360 | − | 0.660216i | 0.0277173 | − | 0.999616i | \(-0.491176\pi\) |
0.940642 | + | 0.339399i | \(0.110224\pi\) | |||||||
\(84\) | −1.69599e6 | + | 816748.i | −2.86145 | + | 1.37800i | ||||
\(85\) | − | 1.24039e6i | − | 2.01977i | ||||||
\(86\) | 1.03818e6 | + | 522651.i | 1.63221 | + | 0.821706i | ||||
\(87\) | 530270. | 0.805265 | ||||||||
\(88\) | −649730. | − | 1.34918e6i | −0.953421 | − | 1.97980i | ||||
\(89\) | −50358.2 | − | 73861.9i | −0.0714332 | − | 0.104773i | 0.788860 | − | 0.614573i | \(-0.210672\pi\) |
−0.860293 | + | 0.509800i | \(0.829719\pi\) | |||||||
\(90\) | −656091. | + | 822712.i | −0.899987 | + | 1.12855i | ||||
\(91\) | 382292. | − | 412013.i | 0.507307 | − | 0.546747i | ||||
\(92\) | 753295. | − | 1.30474e6i | 0.967390 | − | 1.67557i | ||||
\(93\) | −450755. | + | 260243.i | −0.560391 | + | 0.323542i | ||||
\(94\) | −1.43597e6 | − | 327750.i | −1.72886 | − | 0.394602i | ||||
\(95\) | 98837.4 | − | 251834.i | 0.115279 | − | 0.293726i | ||||
\(96\) | 867266. | + | 267516.i | 0.980254 | + | 0.302368i | ||||
\(97\) | 657462. | + | 824431.i | 0.720370 | + | 0.903315i | 0.998359 | − | 0.0572692i | \(-0.0182393\pi\) |
−0.277989 | + | 0.960584i | \(0.589668\pi\) | |||||||
\(98\) | 4.60532e6 | + | 345121.i | 4.89307 | + | 0.366685i | ||||
\(99\) | 416092. | − | 128347.i | 0.428828 | − | 0.132276i | ||||
\(100\) | 2.89459e6 | + | 1.97350e6i | 2.89459 | + | 1.97350i | ||||
\(101\) | −1.80910e6 | − | 272678.i | −1.75589 | − | 0.264659i | −0.809372 | − | 0.587296i | \(-0.800192\pi\) |
−0.946523 | + | 0.322638i | \(0.895430\pi\) | |||||||
\(102\) | −390033. | − | 1.70885e6i | −0.367537 | − | 1.61028i | ||||
\(103\) | 619467. | − | 574781.i | 0.566900 | − | 0.526006i | −0.343818 | − | 0.939036i | \(-0.611720\pi\) |
0.910717 | + | 0.413030i | \(0.135530\pi\) | |||||||
\(104\) | −1.06664e6 | + | 79933.6i | −0.948238 | + | 0.0710606i | ||||
\(105\) | −2.31211e6 | + | 907435.i | −1.99729 | + | 0.783877i | ||||
\(106\) | 330773. | + | 2.19454e6i | 0.277724 | + | 1.84258i | ||||
\(107\) | −558457. | − | 268939.i | −0.455867 | − | 0.219534i | 0.191836 | − | 0.981427i | \(-0.438556\pi\) |
−0.647703 | + | 0.761893i | \(0.724270\pi\) | |||||||
\(108\) | −1.35623e6 | + | 2.81625e6i | −1.07662 | + | 2.23563i | ||||
\(109\) | −631478. | + | 95180.0i | −0.487617 | + | 0.0734964i | −0.388249 | − | 0.921554i | \(-0.626920\pi\) |
−0.0993677 | + | 0.995051i | \(0.531682\pi\) | |||||||
\(110\) | −1.26086e6 | − | 3.21262e6i | −0.947303 | − | 2.41369i | ||||
\(111\) | 25402.5 | + | 338973.i | 0.0185741 | + | 0.247854i | ||||
\(112\) | −3.91296e6 | − | 4.21716e6i | −2.78516 | − | 3.00169i | ||||
\(113\) | −289747. | + | 66132.9i | −0.200809 | + | 0.0458334i | −0.321742 | − | 0.946827i | \(-0.604269\pi\) |
0.120933 | + | 0.992661i | \(0.461411\pi\) | |||||||
\(114\) | 56977.7 | − | 378022.i | 0.0384583 | − | 0.255154i | ||||
\(115\) | 1.11983e6 | − | 1.64249e6i | 0.736308 | − | 1.07996i | ||||
\(116\) | 1.22547e6 | + | 3.97286e6i | 0.785104 | + | 2.54525i | ||||
\(117\) | 23243.2 | − | 310158.i | 0.0145123 | − | 0.193654i | ||||
\(118\) | −2.57396e6 | + | 2.05266e6i | −1.56659 | + | 1.24931i | ||||
\(119\) | −1.21863e6 | + | 3.95069e6i | −0.723152 | + | 2.34440i | ||||
\(120\) | 4.40013e6 | + | 1.72693e6i | 2.54637 | + | 0.999378i | ||||
\(121\) | 76426.8 | − | 334848.i | 0.0431410 | − | 0.189013i | ||||
\(122\) | 1.29937e6 | + | 2.25058e6i | 0.715574 | + | 1.23941i | ||||
\(123\) | 158816. | + | 91692.3i | 0.0853450 | + | 0.0492740i | ||||
\(124\) | −2.99149e6 | − | 2.77570e6i | −1.56900 | − | 1.45582i | ||||
\(125\) | 1.20081e6 | + | 957617.i | 0.614817 | + | 0.490300i | ||||
\(126\) | 2.89795e6 | − | 1.97579e6i | 1.44870 | − | 0.987710i | ||||
\(127\) | 502892. | − | 242180.i | 0.245507 | − | 0.118230i | −0.307084 | − | 0.951682i | \(-0.599353\pi\) |
0.552591 | + | 0.833452i | \(0.313639\pi\) | |||||||
\(128\) | − | 1.05859e6i | − | 0.504773i | ||||||
\(129\) | 1.44266e6 | + | 472947.i | 0.672039 | + | 0.220314i | ||||
\(130\) | −2.46515e6 | −1.12205 | ||||||||
\(131\) | −616396. | − | 1.27996e6i | −0.274186 | − | 0.569354i | 0.717719 | − | 0.696333i | \(-0.245186\pi\) |
−0.991905 | + | 0.126979i | \(0.959472\pi\) | |||||||
\(132\) | −1.92454e6 | − | 2.82278e6i | −0.836769 | − | 1.22731i | ||||
\(133\) | −562216. | + | 704997.i | −0.238973 | + | 0.299663i | ||||
\(134\) | −553516. | + | 596548.i | −0.230047 | + | 0.247931i | ||||
\(135\) | −2.06221e6 | + | 3.57186e6i | −0.838170 | + | 1.45175i | ||||
\(136\) | 6.81393e6 | − | 3.93402e6i | 2.70882 | − | 1.56394i | ||||
\(137\) | 505538. | + | 115386.i | 0.196604 | + | 0.0448736i | 0.319689 | − | 0.947523i | \(-0.396422\pi\) |
−0.123085 | + | 0.992396i | \(0.539279\pi\) | |||||||
\(138\) | 1.02629e6 | − | 2.61493e6i | 0.390509 | − | 0.995001i | ||||
\(139\) | 1.17226e6 | + | 361594.i | 0.436494 | + | 0.134641i | 0.505212 | − | 0.862995i | \(-0.331414\pi\) |
−0.0687172 | + | 0.997636i | \(0.521891\pi\) | |||||||
\(140\) | −1.21420e7 | − | 1.52256e7i | −4.42492 | − | 5.54868i | ||||
\(141\) | −1.91850e6 | − | 143772.i | −0.684392 | − | 0.0512881i | ||||
\(142\) | 1.13581e6 | − | 350350.i | 0.396680 | − | 0.122359i | ||||
\(143\) | 842828. | + | 574631.i | 0.288225 | + | 0.196508i | ||||
\(144\) | −3.14798e6 | − | 474481.i | −1.05425 | − | 0.158903i | ||||
\(145\) | 1.22071e6 | + | 5.34829e6i | 0.400414 | + | 1.75433i | ||||
\(146\) | 5.65717e6 | − | 5.24909e6i | 1.81778 | − | 1.68665i | ||||
\(147\) | 6.01542e6 | − | 450793.i | 1.89371 | − | 0.141914i | ||||
\(148\) | −2.48093e6 | + | 973695.i | −0.765297 | + | 0.300357i | ||||
\(149\) | −443972. | − | 2.94556e6i | −0.134214 | − | 0.890449i | −0.950035 | − | 0.312145i | \(-0.898953\pi\) |
0.815821 | − | 0.578305i | \(-0.196285\pi\) | |||||||
\(150\) | 5.88526e6 | + | 2.83419e6i | 1.74378 | + | 0.839761i | ||||
\(151\) | −170129. | + | 353276.i | −0.0494136 | + | 0.102608i | −0.924214 | − | 0.381876i | \(-0.875278\pi\) |
0.874800 | + | 0.484484i | \(0.160993\pi\) | |||||||
\(152\) | 1.69689e6 | − | 255765.i | 0.483196 | − | 0.0728301i | ||||
\(153\) | 835856. | + | 2.12973e6i | 0.233376 | + | 0.594633i | ||||
\(154\) | 859638. | + | 1.14711e7i | 0.235371 | + | 3.14081i | ||||
\(155\) | −3.66248e6 | − | 3.94721e6i | −0.983512 | − | 1.05997i | ||||
\(156\) | −2.37913e6 | + | 543022.i | −0.626679 | + | 0.143035i | ||||
\(157\) | −475690. | + | 3.15600e6i | −0.122921 | + | 0.815526i | 0.839381 | + | 0.543543i | \(0.182918\pi\) |
−0.962302 | + | 0.271983i | \(0.912321\pi\) | |||||||
\(158\) | −1.82004e6 | + | 2.66950e6i | −0.461433 | + | 0.676798i | ||||
\(159\) | 854454. | + | 2.77007e6i | 0.212568 | + | 0.689128i | ||||
\(160\) | −701665. | + | 9.36308e6i | −0.171305 | + | 2.28591i | ||||
\(161\) | −5.18039e6 | + | 4.13122e6i | −1.24132 | + | 0.989921i | ||||
\(162\) | −573300. | + | 1.85859e6i | −0.134846 | + | 0.437159i | ||||
\(163\) | −6.31115e6 | − | 2.47694e6i | −1.45729 | − | 0.571944i | −0.501281 | − | 0.865285i | \(-0.667138\pi\) |
−0.956008 | + | 0.293341i | \(0.905233\pi\) | |||||||
\(164\) | −319946. | + | 1.40178e6i | −0.0725346 | + | 0.317795i | ||||
\(165\) | −2.25395e6 | − | 3.90396e6i | −0.501757 | − | 0.869068i | ||||
\(166\) | 8.48427e6 | + | 4.89840e6i | 1.85477 | + | 1.07085i | ||||
\(167\) | 251780. | + | 233618.i | 0.0540595 | + | 0.0501599i | 0.706740 | − | 0.707473i | \(-0.250165\pi\) |
−0.652680 | + | 0.757633i | \(0.726356\pi\) | |||||||
\(168\) | −1.23180e7 | − | 9.82326e6i | −2.59784 | − | 2.07170i | ||||
\(169\) | −3.38607e6 | + | 2.30859e6i | −0.701514 | + | 0.478284i | ||||
\(170\) | 1.63375e7 | − | 7.86773e6i | 3.32536 | − | 1.60141i | ||||
\(171\) | 498997.i | 0.0997952i | ||||||||
\(172\) | −209371. | + | 1.19016e7i | −0.0411463 | + | 2.33895i | ||||
\(173\) | 6.83701e6 | 1.32047 | 0.660234 | − | 0.751060i | \(-0.270457\pi\) | ||||
0.660234 | + | 0.751060i | \(0.270457\pi\) | |||||||
\(174\) | 3.36348e6 | + | 6.98433e6i | 0.638470 | + | 1.32580i | ||||
\(175\) | −8.67941e6 | − | 1.27304e7i | −1.61948 | − | 2.37534i | ||||
\(176\) | 6.50988e6 | − | 8.16313e6i | 1.19408 | − | 1.49733i | ||||
\(177\) | −2.92492e6 | + | 3.15231e6i | −0.527465 | + | 0.568472i | ||||
\(178\) | 653437. | − | 1.13179e6i | 0.115863 | − | 0.200680i | ||||
\(179\) | −4.15666e6 | + | 2.39985e6i | −0.724745 | + | 0.418432i | −0.816497 | − | 0.577350i | \(-0.804087\pi\) |
0.0917515 | + | 0.995782i | \(0.470753\pi\) | |||||||
\(180\) | −1.05065e7 | − | 2.39803e6i | −1.80152 | − | 0.411185i | ||||
\(181\) | 3.04741e6 | − | 7.76467e6i | 0.513919 | − | 1.30944i | −0.404754 | − | 0.914426i | \(-0.632643\pi\) |
0.918673 | − | 0.395019i | \(-0.129262\pi\) | |||||||
\(182\) | 7.85160e6 | + | 2.42190e6i | 1.30240 | + | 0.401737i | ||||
\(183\) | 2.11641e6 | + | 2.65389e6i | 0.345340 | + | 0.433042i | ||||
\(184\) | 1.25745e7 | + | 942328.i | 2.01854 | + | 0.151269i | ||||
\(185\) | −3.36040e6 | + | 1.03655e6i | −0.530733 | + | 0.163709i | ||||
\(186\) | −6.28686e6 | − | 4.28631e6i | −0.977001 | − | 0.666108i | ||||
\(187\) | −7.41974e6 | − | 1.11835e6i | −1.13466 | − | 0.171022i | ||||
\(188\) | −3.35654e6 | − | 1.47060e7i | −0.505148 | − | 2.21320i | ||||
\(189\) | 1.00774e7 | − | 9.35048e6i | 1.49267 | − | 1.38500i | ||||
\(190\) | 3.94389e6 | − | 295554.i | 0.574995 | − | 0.0430900i | ||||
\(191\) | 1.02549e7 | − | 4.02475e6i | 1.47174 | − | 0.577615i | 0.512119 | − | 0.858914i | \(-0.328861\pi\) |
0.959620 | + | 0.281299i | \(0.0907654\pi\) | |||||||
\(192\) | 386105. | + | 2.56164e6i | 0.0545509 | + | 0.361922i | ||||
\(193\) | 1.54269e6 | + | 742922.i | 0.214589 | + | 0.103341i | 0.538091 | − | 0.842887i | \(-0.319146\pi\) |
−0.323502 | + | 0.946228i | \(0.604860\pi\) | |||||||
\(194\) | −6.68857e6 | + | 1.38890e7i | −0.916068 | + | 1.90224i | ||||
\(195\) | −3.18399e6 | + | 479909.i | −0.429405 | + | 0.0647224i | ||||
\(196\) | 1.72792e7 | + | 4.40267e7i | 2.29486 | + | 5.84720i | ||||
\(197\) | −204222. | − | 2.72516e6i | −0.0267119 | − | 0.356445i | −0.994504 | − | 0.104696i | \(-0.966613\pi\) |
0.967792 | − | 0.251749i | \(-0.0810059\pi\) | |||||||
\(198\) | 4.32975e6 | + | 4.66636e6i | 0.557786 | + | 0.601150i | ||||
\(199\) | 5.35953e6 | − | 1.22328e6i | 0.680092 | − | 0.155226i | 0.131499 | − | 0.991316i | \(-0.458021\pi\) |
0.548593 | + | 0.836090i | \(0.315164\pi\) | |||||||
\(200\) | −4.37021e6 | + | 2.89944e7i | −0.546276 | + | 3.62431i | ||||
\(201\) | −598787. | + | 878259.i | −0.0737368 | + | 0.108152i | ||||
\(202\) | −7.88352e6 | − | 2.55578e7i | −0.956459 | − | 3.10076i | ||||
\(203\) | 1.36644e6 | − | 1.82338e7i | 0.163343 | − | 2.17967i | ||||
\(204\) | 1.40344e7 | − | 1.11920e7i | 1.65311 | − | 1.31831i | ||||
\(205\) | −559204. | + | 1.81289e6i | −0.0649096 | + | 0.210432i | ||||
\(206\) | 1.14999e7 | + | 4.51336e6i | 1.31550 | + | 0.516295i | ||||
\(207\) | −815912. | + | 3.57475e6i | −0.0919883 | + | 0.403027i | ||||
\(208\) | −3.72896e6 | − | 6.45875e6i | −0.414379 | − | 0.717726i | ||||
\(209\) | −1.41730e6 | − | 818280.i | −0.155247 | − | 0.0896320i | ||||
\(210\) | −2.66177e7 | − | 2.46976e7i | −2.87417 | − | 2.66684i | ||||
\(211\) | 6.34488e6 | + | 5.05987e6i | 0.675424 | + | 0.538632i | 0.900036 | − | 0.435816i | \(-0.143540\pi\) |
−0.224612 | + | 0.974448i | \(0.572112\pi\) | |||||||
\(212\) | −1.87792e7 | + | 1.28034e7i | −1.97092 | + | 1.34375i | ||||
\(213\) | 1.39880e6 | − | 673629.i | 0.144750 | − | 0.0697079i | ||||
\(214\) | − | 9.06146e6i | − | 0.924606i | ||||||
\(215\) | −1.44905e6 | + | 1.56394e7i | −0.145803 | + | 1.57364i | ||||
\(216\) | −2.61621e7 | −2.59604 | ||||||||
\(217\) | 7.78718e6 | + | 1.61702e7i | 0.762081 | + | 1.58248i | ||||
\(218\) | −5.25908e6 | − | 7.71366e6i | −0.507622 | − | 0.744545i | ||||
\(219\) | 6.28493e6 | − | 7.88105e6i | 0.598368 | − | 0.750329i | ||||
\(220\) | 2.40402e7 | − | 2.59091e7i | 2.25772 | − | 2.43324i | ||||
\(221\) | −2.67985e6 | + | 4.64164e6i | −0.248276 | + | 0.430026i | ||||
\(222\) | −4.30359e6 | + | 2.48468e6i | −0.393343 | + | 0.227097i | ||||
\(223\) | −1.72566e7 | − | 3.93872e6i | −1.55612 | − | 0.355173i | −0.643973 | − | 0.765048i | \(-0.722715\pi\) |
−0.912142 | + | 0.409875i | \(0.865572\pi\) | |||||||
\(224\) | 1.14336e7 | − | 2.91324e7i | 1.01728 | − | 2.59199i | ||||
\(225\) | −8.14746e6 | − | 2.51316e6i | −0.715278 | − | 0.220634i | ||||
\(226\) | −2.70891e6 | − | 3.39686e6i | −0.234676 | − | 0.294275i | ||||
\(227\) | 1.02721e7 | + | 769786.i | 0.878174 | + | 0.0658101i | 0.506183 | − | 0.862426i | \(-0.331056\pi\) |
0.371991 | + | 0.928236i | \(0.378675\pi\) | |||||||
\(228\) | 3.74118e6 | − | 1.15400e6i | 0.315649 | − | 0.0973648i | ||||
\(229\) | −1.37728e7 | − | 9.39010e6i | −1.14687 | − | 0.781923i | −0.167876 | − | 0.985808i | \(-0.553691\pi\) |
−0.978995 | + | 0.203885i | \(0.934643\pi\) | |||||||
\(230\) | 2.87368e7 | + | 4.33137e6i | 2.36186 | + | 0.355993i | ||||
\(231\) | 3.34347e6 | + | 1.46487e7i | 0.271245 | + | 1.18840i | ||||
\(232\) | −2.55086e7 | + | 2.36685e7i | −2.04278 | + | 1.89543i | ||||
\(233\) | 5.93619e6 | − | 444856.i | 0.469289 | − | 0.0351683i | 0.162012 | − | 0.986789i | \(-0.448202\pi\) |
0.307276 | + | 0.951620i | \(0.400582\pi\) | |||||||
\(234\) | 4.23261e6 | − | 1.66118e6i | 0.330340 | − | 0.129649i | ||||
\(235\) | −2.96643e6 | − | 1.96809e7i | −0.228576 | − | 1.51650i | ||||
\(236\) | −3.03772e7 | − | 1.46289e7i | −2.31106 | − | 1.11295i | ||||
\(237\) | −1.83107e6 | + | 3.80225e6i | −0.137550 | + | 0.285625i | ||||
\(238\) | −5.97654e7 | + | 9.00818e6i | −4.43321 | + | 0.668199i | ||||
\(239\) | −6.65185e6 | − | 1.69486e7i | −0.487246 | − | 1.24148i | −0.937313 | − | 0.348488i | \(-0.886695\pi\) |
0.450067 | − | 0.892995i | \(-0.351400\pi\) | |||||||
\(240\) | 2.46295e6 | + | 3.28657e7i | 0.178164 | + | 2.37744i | ||||
\(241\) | 1.40379e7 | + | 1.51292e7i | 1.00288 | + | 1.08085i | 0.996725 | + | 0.0808691i | \(0.0257696\pi\) |
0.00615769 | + | 0.999981i | \(0.498040\pi\) | |||||||
\(242\) | 4.89515e6 | − | 1.11729e6i | 0.345398 | − | 0.0788348i | ||||
\(243\) | 1.88980e6 | − | 1.25380e7i | 0.131704 | − | 0.873797i | ||||
\(244\) | −1.49923e7 | + | 2.19897e7i | −1.03205 | + | 1.51373i | ||||
\(245\) | 1.83946e7 | + | 5.96337e7i | 1.25081 | + | 4.05502i | ||||
\(246\) | −200344. | + | 2.67341e6i | −0.0134577 | + | 0.179581i | ||||
\(247\) | −913944. | + | 728846.i | −0.0606497 | + | 0.0483665i | ||||
\(248\) | 1.00676e7 | − | 3.26384e7i | 0.660041 | − | 2.13980i | ||||
\(249\) | 1.19119e7 | + | 4.67507e6i | 0.771583 | + | 0.302824i | ||||
\(250\) | −4.99634e6 | + | 2.18904e7i | −0.319766 | + | 1.40098i | ||||
\(251\) | −6.19701e6 | − | 1.07335e7i | −0.391887 | − | 0.678768i | 0.600811 | − | 0.799391i | \(-0.294844\pi\) |
−0.992698 | + | 0.120622i | \(0.961511\pi\) | |||||||
\(252\) | 3.11076e7 | + | 1.79600e7i | 1.94386 | + | 1.12229i | ||||
\(253\) | −8.81539e6 | − | 8.17948e6i | −0.544352 | − | 0.505085i | ||||
\(254\) | 6.37965e6 | + | 5.08760e6i | 0.389310 | + | 0.310464i | ||||
\(255\) | 1.95699e7 | − | 1.33425e7i | 1.18023 | − | 0.804669i | ||||
\(256\) | 2.17657e7 | − | 1.04818e7i | 1.29734 | − | 0.624765i | ||||
\(257\) | − | 6.71552e6i | − | 0.395622i | −0.980240 | − | 0.197811i | \(-0.936617\pi\) | ||
0.980240 | − | 0.197811i | \(-0.0633832\pi\) | |||||||
\(258\) | 2.92141e6 | + | 2.20016e7i | 0.170111 | + | 1.28113i | ||||
\(259\) | 1.17214e7 | 0.674651 | ||||||||
\(260\) | −1.09538e7 | − | 2.27459e7i | −0.623226 | − | 1.29414i | ||||
\(261\) | −5.69997e6 | − | 8.36033e6i | −0.320591 | − | 0.470221i | ||||
\(262\) | 1.29489e7 | − | 1.62375e7i | 0.719996 | − | 0.902847i | ||||
\(263\) | 8.26110e6 | − | 8.90335e6i | 0.454120 | − | 0.489425i | −0.463940 | − | 0.885867i | \(-0.653565\pi\) |
0.918060 | + | 0.396442i | \(0.129755\pi\) | |||||||
\(264\) | 1.42973e7 | − | 2.47637e7i | 0.777038 | − | 1.34587i | ||||
\(265\) | −2.59719e7 | + | 1.49949e7i | −1.39562 | + | 0.805760i | ||||
\(266\) | −1.28518e7 | − | 2.93335e6i | −0.682842 | − | 0.155854i | ||||
\(267\) | 623646. | − | 1.58902e6i | 0.0327646 | − | 0.0834828i | ||||
\(268\) | −7.96387e6 | − | 2.45653e6i | −0.413733 | − | 0.127620i | ||||
\(269\) | 1.34526e6 | + | 1.68690e6i | 0.0691113 | + | 0.0866628i | 0.815185 | − | 0.579200i | \(-0.196635\pi\) |
−0.746074 | + | 0.665863i | \(0.768064\pi\) | |||||||
\(270\) | −6.01265e7 | − | 4.50586e6i | −3.05474 | − | 0.228921i | ||||
\(271\) | −1.37671e7 | + | 4.24658e6i | −0.691726 | + | 0.213369i | −0.620634 | − | 0.784101i | \(-0.713125\pi\) |
−0.0710922 | + | 0.997470i | \(0.522648\pi\) | |||||||
\(272\) | 4.53270e7 | + | 3.09034e7i | 2.25242 | + | 1.53568i | ||||
\(273\) | 1.06126e7 | + | 1.59959e6i | 0.521596 | + | 0.0786180i | ||||
\(274\) | 1.68683e6 | + | 7.39048e6i | 0.0820010 | + | 0.359270i | ||||
\(275\) | 2.04987e7 | − | 1.90201e7i | 0.985665 | − | 0.914563i | ||||
\(276\) | 2.86882e7 | − | 2.14988e6i | 1.36451 | − | 0.102256i | ||||
\(277\) | −2.56998e7 | + | 1.00864e7i | −1.20918 | + | 0.474568i | −0.882385 | − | 0.470528i | \(-0.844064\pi\) |
−0.326794 | + | 0.945096i | \(0.605968\pi\) | |||||||
\(278\) | 2.67293e6 | + | 1.77337e7i | 0.124409 | + | 0.825402i | ||||
\(279\) | 8.94830e6 | + | 4.30927e6i | 0.412029 | + | 0.198423i | ||||
\(280\) | 7.07205e7 | − | 1.46853e8i | 3.22160 | − | 6.68972i | ||||
\(281\) | −2.60681e6 | + | 392914.i | −0.117487 | + | 0.0177084i | −0.207523 | − | 0.978230i | \(-0.566540\pi\) |
0.0900354 | + | 0.995939i | \(0.471302\pi\) | |||||||
\(282\) | −1.02753e7 | − | 2.61811e7i | −0.458192 | − | 1.16745i | ||||
\(283\) | 3.08374e6 | + | 4.11496e7i | 0.136056 | + | 1.81554i | 0.480783 | + | 0.876840i | \(0.340353\pi\) |
−0.344726 | + | 0.938703i | \(0.612028\pi\) | |||||||
\(284\) | 8.27961e6 | + | 8.92329e6i | 0.361455 | + | 0.389556i | ||||
\(285\) | 5.03640e6 | − | 1.14953e6i | 0.217563 | − | 0.0496574i | ||||
\(286\) | −2.22260e6 | + | 1.47460e7i | −0.0950087 | + | 0.630341i | ||||
\(287\) | 3.56217e6 | − | 5.22475e6i | 0.150685 | − | 0.221014i | ||||
\(288\) | −5.10471e6 | − | 1.65491e7i | −0.213695 | − | 0.692781i | ||||
\(289\) | 1.14245e6 | − | 1.52449e7i | 0.0473308 | − | 0.631585i | ||||
\(290\) | −6.27010e7 | + | 5.00024e7i | −2.57087 | + | 2.05020i | ||||
\(291\) | −5.93509e6 | + | 1.92411e7i | −0.240851 | + | 0.780820i | ||||
\(292\) | 7.35707e7 | + | 2.88744e7i | 2.95499 | + | 1.15975i | ||||
\(293\) | −3.32458e6 | + | 1.45659e7i | −0.132170 | + | 0.579076i | 0.864856 | + | 0.502020i | \(0.167409\pi\) |
−0.997027 | + | 0.0770569i | \(0.975448\pi\) | |||||||
\(294\) | 4.40931e7 | + | 7.63715e7i | 1.73512 | + | 3.00531i | ||||
\(295\) | −3.85275e7 | − | 2.22439e7i | −1.50074 | − | 0.866451i | ||||
\(296\) | −1.63520e7 | − | 1.51724e7i | −0.630516 | − | 0.585033i | ||||
\(297\) | 1.95068e7 | + | 1.55561e7i | 0.744588 | + | 0.593789i | ||||
\(298\) | 3.59807e7 | − | 2.45312e7i | 1.35963 | − | 0.926981i | ||||
\(299\) | −7.73910e6 | + | 3.72696e6i | −0.289519 | + | 0.139425i | ||||
\(300\) | 6.68968e7i | 2.47766i | ||||||||
\(301\) | 1.99803e7 | − | 4.83885e7i | 0.732659 | − | 1.77436i | ||||
\(302\) | −5.73221e6 | −0.208114 | ||||||||
\(303\) | −1.51579e7 | − | 3.14757e7i | −0.544892 | − | 1.13148i | ||||
\(304\) | 6.74018e6 | + | 9.88603e6i | 0.239911 | + | 0.351885i | ||||
\(305\) | −2.18950e7 | + | 2.74555e7i | −0.771696 | + | 0.967676i | ||||
\(306\) | −2.27494e7 | + | 2.45180e7i | −0.793974 | + | 0.855700i | ||||
\(307\) | −7.70408e6 | + | 1.33439e7i | −0.266260 | + | 0.461176i | −0.967893 | − | 0.251363i | \(-0.919121\pi\) |
0.701633 | + | 0.712539i | \(0.252455\pi\) | |||||||
\(308\) | −1.02023e8 | + | 5.89033e7i | −3.49179 | + | 2.01598i | ||||
\(309\) | 1.57319e7 | + | 3.59070e6i | 0.533218 | + | 0.121704i | ||||
\(310\) | 2.87589e7 | − | 7.32765e7i | 0.965356 | − | 2.45969i | ||||
\(311\) | 4.28883e7 | + | 1.32293e7i | 1.42580 | + | 0.439801i | 0.909176 | − | 0.416413i | \(-0.136713\pi\) |
0.516623 | + | 0.856213i | \(0.327189\pi\) | |||||||
\(312\) | −1.27347e7 | − | 1.59688e7i | −0.419299 | − | 0.525784i | ||||
\(313\) | 1.43288e7 | + | 1.07380e6i | 0.467280 | + | 0.0350178i | 0.306290 | − | 0.951938i | \(-0.400912\pi\) |
0.160990 | + | 0.986956i | \(0.448531\pi\) | |||||||
\(314\) | −4.45858e7 | + | 1.37529e7i | −1.44015 | + | 0.444228i | ||||
\(315\) | 3.91601e7 | + | 2.66989e7i | 1.25289 | + | 0.854204i | ||||
\(316\) | −3.27187e7 | − | 4.93155e6i | −1.03690 | − | 0.156287i | ||||
\(317\) | −1.03178e7 | − | 4.52054e7i | −0.323900 | − | 1.41910i | −0.830549 | − | 0.556946i | \(-0.811973\pi\) |
0.506649 | − | 0.862153i | \(-0.330884\pi\) | |||||||
\(318\) | −3.10657e7 | + | 2.88247e7i | −0.966049 | + | 0.896363i | ||||
\(319\) | 3.30930e7 | − | 2.47997e6i | 1.01944 | − | 0.0763968i | ||||
\(320\) | −2.49478e7 | + | 9.79130e6i | −0.761347 | + | 0.298807i | ||||
\(321\) | −1.76406e6 | − | 1.17038e7i | −0.0533334 | − | 0.353844i | ||||
\(322\) | −8.72724e7 | − | 4.20282e7i | −2.61402 | − | 1.25885i | ||||
\(323\) | 3.73089e6 | − | 7.74728e6i | 0.110715 | − | 0.229901i | ||||
\(324\) | −1.96966e7 | + | 2.96879e6i | −0.579105 | + | 0.0872860i | ||||
\(325\) | −7.29735e6 | − | 1.85934e7i | −0.212577 | − | 0.541636i | ||||
\(326\) | −7.40682e6 | − | 9.88371e7i | −0.213786 | − | 2.85277i | ||||
\(327\) | −8.29431e6 | − | 8.93914e6i | −0.237212 | − | 0.255654i | ||||
\(328\) | −1.17325e7 | + | 2.67787e6i | −0.332483 | + | 0.0758870i | ||||
\(329\) | −9.88746e6 | + | 6.55990e7i | −0.277650 | + | 1.84208i | ||||
\(330\) | 3.71235e7 | − | 5.44501e7i | 1.03302 | − | 1.51516i | ||||
\(331\) | 3.75668e6 | + | 1.21788e7i | 0.103590 | + | 0.335832i | 0.992499 | − | 0.122253i | \(-0.0390118\pi\) |
−0.888909 | + | 0.458085i | \(0.848536\pi\) | |||||||
\(332\) | −7.49771e6 | + | 1.00050e8i | −0.204887 | + | 2.73403i | ||||
\(333\) | 5.07125e6 | − | 4.04419e6i | 0.137335 | − | 0.109521i | ||||
\(334\) | −1.48002e6 | + | 4.79810e6i | −0.0397216 | + | 0.128774i | ||||
\(335\) | −1.02366e7 | − | 4.01755e6i | −0.272282 | − | 0.106863i | ||||
\(336\) | 2.44445e7 | − | 1.07098e8i | 0.644412 | − | 2.82335i | ||||
\(337\) | −2.45950e7 | − | 4.25998e7i | −0.642624 | − | 1.11306i | −0.984845 | − | 0.173438i | \(-0.944512\pi\) |
0.342221 | − | 0.939620i | \(-0.388821\pi\) | |||||||
\(338\) | −5.18848e7 | − | 2.99557e7i | −1.34366 | − | 0.775763i | ||||
\(339\) | −4.16012e6 | − | 3.86003e6i | −0.106784 | − | 0.0990813i | ||||
\(340\) | 1.45191e8 | + | 1.15786e8i | 3.69404 | + | 2.94590i | ||||
\(341\) | −2.69135e7 | + | 1.83493e7i | −0.678746 | + | 0.462761i | ||||
\(342\) | −6.57243e6 | + | 3.16512e6i | −0.164304 | + | 0.0791246i | ||||
\(343\) | − | 1.30542e8i | − | 3.23495i | ||||||
\(344\) | −9.05089e7 | + | 4.16418e7i | −2.22339 | + | 1.02295i | ||||
\(345\) | 3.79597e7 | 0.924411 | ||||||||
\(346\) | 4.33668e7 | + | 9.00522e7i | 1.04696 | + | 2.17403i | ||||
\(347\) | 3.03983e7 | + | 4.45861e7i | 0.727546 | + | 1.06711i | 0.994635 | + | 0.103443i | \(0.0329858\pi\) |
−0.267089 | + | 0.963672i | \(0.586062\pi\) | |||||||
\(348\) | −4.94987e7 | + | 6.20694e7i | −1.17451 | + | 1.47279i | ||||
\(349\) | −2.57185e7 | + | 2.77180e7i | −0.605020 | + | 0.652057i | −0.959070 | − | 0.283170i | \(-0.908614\pi\) |
0.354050 | + | 0.935227i | \(0.384804\pi\) | |||||||
\(350\) | 1.12622e8 | − | 1.95067e8i | 2.62675 | − | 4.54967i | ||||
\(351\) | 1.54340e7 | − | 8.91080e6i | 0.356908 | − | 0.206061i | ||||
\(352\) | 5.53753e7 | + | 1.26391e7i | 1.26966 | + | 0.289792i | ||||
\(353\) | 6.38686e6 | − | 1.62734e7i | 0.145199 | − | 0.369961i | −0.839710 | − | 0.543035i | \(-0.817275\pi\) |
0.984909 | + | 0.173075i | \(0.0553702\pi\) | |||||||
\(354\) | −6.00726e7 | − | 1.85299e7i | −1.35415 | − | 0.417700i | ||||
\(355\) | 1.00143e7 | + | 1.25576e7i | 0.223840 | + | 0.280686i | ||||
\(356\) | 1.33465e7 | + | 1.00018e6i | 0.295813 | + | 0.0221681i | ||||
\(357\) | −7.54393e7 | + | 2.32699e7i | −1.65803 | + | 0.511435i | ||||
\(358\) | −5.79746e7 | − | 3.95264e7i | −1.26354 | − | 0.861466i | ||||
\(359\) | −8.91908e7 | − | 1.34434e7i | −1.92769 | − | 0.290552i | −0.930551 | − | 0.366163i | \(-0.880671\pi\) |
−0.997137 | + | 0.0756112i | \(0.975909\pi\) | |||||||
\(360\) | −2.00709e7 | − | 8.79364e7i | −0.430189 | − | 1.88478i | ||||
\(361\) | −3.31123e7 | + | 3.07237e7i | −0.703829 | + | 0.653058i | ||||
\(362\) | 1.21600e8 | − | 9.11268e6i | 2.56336 | − | 0.192097i | ||||
\(363\) | 6.10507e6 | − | 2.39606e6i | 0.127635 | − | 0.0500931i | ||||
\(364\) | 1.25416e7 | + | 8.32081e7i | 0.260045 | + | 1.72529i | ||||
\(365\) | 9.39565e7 | + | 4.52471e7i | 1.93218 | + | 0.930490i | ||||
\(366\) | −2.15309e7 | + | 4.47094e7i | −0.439156 | + | 0.911917i | ||||
\(367\) | −5.57281e7 | + | 8.39967e6i | −1.12740 | + | 0.169928i | −0.686151 | − | 0.727459i | \(-0.740701\pi\) |
−0.441245 | + | 0.897387i | \(0.645463\pi\) | |||||||
\(368\) | 3.21210e7 | + | 8.18430e7i | 0.644534 | + | 1.64225i | ||||
\(369\) | −261505. | − | 3.48954e6i | −0.00520475 | − | 0.0694526i | ||||
\(370\) | −3.49675e7 | − | 3.76860e7i | −0.690335 | − | 0.744004i | ||||
\(371\) | 9.74534e7 | − | 2.22431e7i | 1.90843 | − | 0.435586i | ||||
\(372\) | 1.16141e7 | − | 7.70548e7i | 0.225610 | − | 1.49682i | ||||
\(373\) | 1.60250e7 | − | 2.35044e7i | 0.308796 | − | 0.452921i | −0.640200 | − | 0.768208i | \(-0.721149\pi\) |
0.948996 | + | 0.315287i | \(0.102101\pi\) | |||||||
\(374\) | −3.23330e7 | − | 1.04821e8i | −0.618062 | − | 2.00371i | ||||
\(375\) | −2.19171e6 | + | 2.92463e7i | −0.0415613 | + | 0.554597i | ||||
\(376\) | 9.87066e7 | − | 7.87159e7i | 1.85688 | − | 1.48081i | ||||
\(377\) | 6.98695e6 | − | 2.26511e7i | 0.130396 | − | 0.422733i | ||||
\(378\) | 1.87079e8 | + | 7.34229e7i | 3.46377 | + | 1.35943i | ||||
\(379\) | 1.02129e7 | − | 4.47458e7i | 0.187600 | − | 0.821929i | −0.790277 | − | 0.612750i | \(-0.790063\pi\) |
0.977877 | − | 0.209180i | \(-0.0670794\pi\) | |||||||
\(380\) | 2.02517e7 | + | 3.50769e7i | 0.369071 | + | 0.639250i | ||||
\(381\) | 9.23040e6 | + | 5.32917e6i | 0.166896 | + | 0.0963574i | ||||
\(382\) | 1.18057e8 | + | 1.09541e8i | 2.11789 | + | 1.96511i | ||||
\(383\) | −1.67415e7 | − | 1.33509e7i | −0.297987 | − | 0.237637i | 0.463070 | − | 0.886322i | \(-0.346748\pi\) |
−0.761057 | + | 0.648685i | \(0.775319\pi\) | |||||||
\(384\) | 1.67015e7 | − | 1.13869e7i | 0.294960 | − | 0.201100i | ||||
\(385\) | −1.40050e8 | + | 6.74443e7i | −2.45414 | + | 1.18185i | ||||
\(386\) | 2.50316e7i | 0.435237i | ||||||||
\(387\) | −8.05086e6 | − | 2.78290e7i | −0.138902 | − | 0.480137i | ||||
\(388\) | −1.57873e8 | −2.70280 | ||||||||
\(389\) | −3.45638e7 | − | 7.17726e7i | −0.587183 | − | 1.21930i | −0.956972 | − | 0.290182i | \(-0.906284\pi\) |
0.369789 | − | 0.929116i | \(-0.379430\pi\) | |||||||
\(390\) | −2.65169e7 | − | 3.88932e7i | −0.447022 | − | 0.655661i | ||||
\(391\) | 3.93952e7 | − | 4.94000e7i | 0.659042 | − | 0.826413i | ||||
\(392\) | −2.69250e8 | + | 2.90183e8i | −4.46990 | + | 4.81741i | ||||
\(393\) | 1.35638e7 | − | 2.34932e7i | 0.223462 | − | 0.387047i | ||||
\(394\) | 3.45984e7 | − | 1.99754e7i | 0.565676 | − | 0.326593i | ||||
\(395\) | −4.25647e7 | − | 9.71511e6i | −0.690650 | − | 0.157636i | ||||
\(396\) | −2.38172e7 | + | 6.06854e7i | −0.383536 | + | 0.977233i | ||||
\(397\) | −5.76758e7 | − | 1.77906e7i | −0.921769 | − | 0.284328i | −0.202679 | − | 0.979245i | \(-0.564965\pi\) |
−0.719090 | + | 0.694917i | \(0.755441\pi\) | |||||||
\(398\) | 5.01074e7 | + | 6.28327e7i | 0.794790 | + | 0.996636i | ||||
\(399\) | −1.71705e7 | − | 1.28675e6i | −0.270311 | − | 0.0202570i | ||||
\(400\) | −1.95362e8 | + | 6.02613e7i | −3.05254 | + | 0.941583i | ||||
\(401\) | −7.20639e7 | − | 4.91323e7i | −1.11760 | − | 0.761964i | −0.143849 | − | 0.989600i | \(-0.545948\pi\) |
−0.973746 | + | 0.227636i | \(0.926900\pi\) | |||||||
\(402\) | −1.53659e7 | − | 2.31604e6i | −0.236526 | − | 0.0356506i | ||||
\(403\) | 5.17738e6 | + | 2.26836e7i | 0.0791033 | + | 0.346574i | ||||
\(404\) | 2.00791e8 | − | 1.86306e8i | 3.04508 | − | 2.82542i | ||||
\(405\) | −2.62094e7 | + | 1.96412e6i | −0.394541 | + | 0.0295667i | ||||
\(406\) | 2.48830e8 | − | 9.76587e7i | 3.71813 | − | 1.45926i | ||||
\(407\) | 3.17063e6 | + | 2.10358e7i | 0.0470286 | + | 0.312015i | ||||
\(408\) | 1.35363e8 | + | 6.51876e7i | 1.99306 | + | 0.959808i | ||||
\(409\) | −1.82499e7 | + | 3.78963e7i | −0.266741 | + | 0.553894i | −0.990718 | − | 0.135930i | \(-0.956598\pi\) |
0.723977 | + | 0.689824i | \(0.242312\pi\) | |||||||
\(410\) | −2.74252e7 | + | 4.13368e6i | −0.397922 | + | 0.0599770i | ||||
\(411\) | 3.61747e6 | + | 9.21716e6i | 0.0521050 | + | 0.132761i | ||||
\(412\) | 9.45467e6 | + | 1.26164e8i | 0.135193 | + | 1.80403i | ||||
\(413\) | 1.00858e8 | + | 1.08699e8i | 1.43173 | + | 1.54304i | ||||
\(414\) | −5.22593e7 | + | 1.19278e7i | −0.736483 | + | 0.168097i | ||||
\(415\) | −1.97308e7 | + | 1.30906e8i | −0.276059 | + | 1.83153i | ||||
\(416\) | 2.28546e7 | − | 3.35215e7i | 0.317463 | − | 0.465633i | ||||
\(417\) | 6.90471e6 | + | 2.23845e7i | 0.0952220 | + | 0.308702i | ||||
\(418\) | 1.78791e6 | − | 2.38580e7i | 0.0244803 | − | 0.326667i | ||||
\(419\) | −7.00364e6 | + | 5.58522e6i | −0.0952098 | + | 0.0759273i | −0.669938 | − | 0.742417i | \(-0.733679\pi\) |
0.574728 | + | 0.818344i | \(0.305108\pi\) | |||||||
\(420\) | 1.09609e8 | − | 3.55344e8i | 1.47944 | − | 4.79624i | ||||
\(421\) | −3.14723e7 | − | 1.23520e7i | −0.421776 | − | 0.165535i | 0.144954 | − | 0.989438i | \(-0.453697\pi\) |
−0.566730 | + | 0.823903i | \(0.691792\pi\) | |||||||
\(422\) | −2.63997e7 | + | 1.15665e8i | −0.351287 | + | 1.53909i | ||||
\(423\) | 1.83556e7 | + | 3.17929e7i | 0.242520 | + | 0.420057i | ||||
\(424\) | −1.64745e8 | − | 9.51158e7i | −2.16130 | − | 1.24783i | ||||
\(425\) | 1.07705e8 | + | 9.99354e7i | 1.40303 | + | 1.30183i | ||||
\(426\) | 1.77451e7 | + | 1.41513e7i | 0.229536 | + | 0.183049i | ||||
\(427\) | 9.67104e7 | − | 6.59361e7i | 1.24219 | − | 0.846914i | ||||
\(428\) | 8.36099e7 | − | 4.02644e7i | 1.06641 | − | 0.513558i | ||||
\(429\) | 1.94786e7i | 0.246710i | ||||||||
\(430\) | −2.15182e8 | + | 8.01142e7i | −2.70645 | + | 1.00764i | ||||
\(431\) | −1.40018e8 | −1.74884 | −0.874421 | − | 0.485168i | \(-0.838759\pi\) | ||||
−0.874421 | + | 0.485168i | \(0.838759\pi\) | |||||||
\(432\) | −7.91462e7 | − | 1.64349e8i | −0.981700 | − | 2.03852i | ||||
\(433\) | 4.61420e7 | + | 6.76779e7i | 0.568372 | + | 0.833648i | 0.997578 | − | 0.0695583i | \(-0.0221590\pi\) |
−0.429206 | + | 0.903207i | \(0.641207\pi\) | |||||||
\(434\) | −1.63589e8 | + | 2.05134e8i | −2.00118 | + | 2.50940i | ||||
\(435\) | −7.12503e7 | + | 7.67895e7i | −0.865603 | + | 0.932898i | ||||
\(436\) | 4.78051e7 | − | 8.28009e7i | 0.576786 | − | 0.999023i | ||||
\(437\) | 1.19347e7 | − | 6.89048e6i | 0.143010 | − | 0.0825667i | ||||
\(438\) | 1.43669e8 | + | 3.27914e7i | 1.70978 | + | 0.390246i | ||||
\(439\) | 2.30659e7 | − | 5.87709e7i | 0.272632 | − | 0.694654i | −0.727333 | − | 0.686284i | \(-0.759241\pi\) |
0.999965 | − | 0.00836956i | \(-0.00266415\pi\) | |||||||
\(440\) | 2.82679e8 | + | 8.71950e7i | 3.31845 | + | 1.02361i | ||||
\(441\) | −7.17682e7 | − | 8.99945e7i | −0.836790 | − | 1.04930i | ||||
\(442\) | −7.81346e7 | − | 5.85538e6i | −0.904850 | − | 0.0678091i | ||||
\(443\) | 5.87929e7 | − | 1.81352e7i | 0.676260 | − | 0.208598i | 0.0624447 | − | 0.998048i | \(-0.480110\pi\) |
0.613815 | + | 0.789450i | \(0.289634\pi\) | |||||||
\(444\) | −4.20489e7 | − | 2.86685e7i | −0.480403 | − | 0.327533i | ||||
\(445\) | 1.74626e7 | + | 2.63206e6i | 0.198165 | + | 0.0298686i | ||||
\(446\) | −5.75802e7 | − | 2.52275e8i | −0.649036 | − | 2.84361i | ||||
\(447\) | 4.16971e7 | − | 3.86892e7i | 0.466856 | − | 0.433179i | ||||
\(448\) | 8.90794e7 | − | 6.67558e6i | 0.990702 | − | 0.0742429i | ||||
\(449\) | 6.99008e7 | − | 2.74341e7i | 0.772224 | − | 0.303076i | 0.0536810 | − | 0.998558i | \(-0.482905\pi\) |
0.718543 | + | 0.695483i | \(0.244809\pi\) | |||||||
\(450\) | −1.85775e7 | − | 1.23253e8i | −0.203868 | − | 1.35258i | ||||
\(451\) | 1.03402e7 | + | 4.97956e6i | 0.112719 | + | 0.0542827i | ||||
\(452\) | 1.93058e7 | − | 4.00889e7i | 0.209061 | − | 0.434119i | ||||
\(453\) | −7.40373e6 | + | 1.11593e6i | −0.0796445 | + | 0.0120045i | ||||
\(454\) | 5.50163e7 | + | 1.40179e8i | 0.587927 | + | 1.49801i | ||||
\(455\) | 8.29740e6 | + | 1.10721e8i | 0.0880862 | + | 1.17543i | ||||
\(456\) | 2.22883e7 | + | 2.40210e7i | 0.235061 | + | 0.253336i | ||||
\(457\) | 9.90547e7 | − | 2.26086e7i | 1.03783 | − | 0.236878i | 0.330533 | − | 0.943794i | \(-0.392771\pi\) |
0.707297 | + | 0.706916i | \(0.249914\pi\) | |||||||
\(458\) | 3.63198e7 | − | 2.40966e8i | 0.378048 | − | 2.50818i | ||||
\(459\) | −7.38474e7 | + | 1.08314e8i | −0.763655 | + | 1.12008i | ||||
\(460\) | 8.77257e7 | + | 2.84400e8i | 0.901267 | + | 2.92184i | ||||
\(461\) | −1.95551e6 | + | 2.60945e7i | −0.0199599 | + | 0.266346i | 0.978291 | + | 0.207234i | \(0.0664460\pi\) |
−0.998251 | + | 0.0591123i | \(0.981173\pi\) | |||||||
\(462\) | −1.71735e8 | + | 1.36954e8i | −1.74153 | + | 1.38883i | ||||
\(463\) | 2.63702e7 | − | 8.54900e7i | 0.265687 | − | 0.861336i | −0.720177 | − | 0.693790i | \(-0.755940\pi\) |
0.985864 | − | 0.167546i | \(-0.0535842\pi\) | |||||||
\(464\) | −2.25853e8 | − | 8.86410e7i | −2.26086 | − | 0.887320i | ||||
\(465\) | 2.28797e7 | − | 1.00243e8i | 0.227558 | − | 0.996997i | ||||
\(466\) | 4.35123e7 | + | 7.53656e7i | 0.429986 | + | 0.744758i | ||||
\(467\) | −8.65404e7 | − | 4.99641e7i | −0.849705 | − | 0.490578i | 0.0108460 | − | 0.999941i | \(-0.496548\pi\) |
−0.860551 | + | 0.509363i | \(0.829881\pi\) | |||||||
\(468\) | 3.41352e7 | + | 3.16728e7i | 0.333016 | + | 0.308993i | ||||
\(469\) | 2.86568e7 | + | 2.28530e7i | 0.277785 | + | 0.221526i | ||||
\(470\) | 2.40407e8 | − | 1.63907e8i | 2.31555 | − | 1.57872i | ||||
\(471\) | −5.49097e7 | + | 2.64431e7i | −0.525517 | + | 0.253076i | ||||
\(472\) | − | 2.82195e8i | − | 2.68363i | ||||||
\(473\) | 9.22450e7 | + | 2.27685e7i | 0.871685 | + | 0.215155i | ||||
\(474\) | −6.16949e7 | −0.579314 | ||||||||
\(475\) | 1.39040e7 | + | 2.88719e7i | 0.129735 | + | 0.269398i | ||||
\(476\) | −3.48684e8 | − | 5.11426e8i | −3.23304 | − | 4.74200i | ||||
\(477\) | 3.44888e7 | − | 4.32476e7i | 0.317777 | − | 0.398480i | ||||
\(478\) | 1.81043e8 | − | 1.95118e8i | 1.65767 | − | 1.78654i | ||||
\(479\) | −2.27734e7 | + | 3.94446e7i | −0.207215 | + | 0.358907i | −0.950836 | − | 0.309694i | \(-0.899773\pi\) |
0.743621 | + | 0.668601i | \(0.233107\pi\) | |||||||
\(480\) | −1.55271e8 | + | 8.96457e7i | −1.40400 | + | 0.810598i | ||||
\(481\) | 1.48144e7 | + | 3.38128e6i | 0.133121 | + | 0.0303841i | ||||
\(482\) | −1.10230e8 | + | 2.80861e8i | −0.984368 | + | 2.50813i | ||||
\(483\) | −1.20903e8 | − | 3.72937e7i | −1.07299 | − | 0.330974i | ||||
\(484\) | 3.20606e7 | + | 4.02028e7i | 0.282772 | + | 0.354585i | ||||
\(485\) | −2.07728e8 | − | 1.55671e7i | −1.82084 | − | 0.136453i | ||||
\(486\) | 1.77129e8 | − | 5.46371e7i | 1.54305 | − | 0.475969i | ||||
\(487\) | 1.43430e8 | + | 9.77890e7i | 1.24181 | + | 0.846648i | 0.992556 | − | 0.121791i | \(-0.0388638\pi\) |
0.249249 | + | 0.968439i | \(0.419816\pi\) | |||||||
\(488\) | −2.20266e8 | − | 3.31998e7i | −1.89534 | − | 0.285677i | ||||
\(489\) | −2.88080e7 | − | 1.26216e8i | −0.246369 | − | 1.07941i | ||||
\(490\) | −6.68777e8 | + | 6.20534e8i | −5.68451 | + | 5.27445i | ||||
\(491\) | 6.83585e7 | − | 5.12276e6i | 0.577495 | − | 0.0432773i | 0.217219 | − | 0.976123i | \(-0.430302\pi\) |
0.360276 | + | 0.932846i | \(0.382682\pi\) | |||||||
\(492\) | −2.55577e7 | + | 1.00307e7i | −0.214598 | + | 0.0842236i | ||||
\(493\) | 2.59878e7 | + | 1.72417e8i | 0.216884 | + | 1.43893i | ||||
\(494\) | −1.53969e7 | − | 7.41478e6i | −0.127718 | − | 0.0615060i | ||||
\(495\) | −3.73224e7 | + | 7.75007e7i | −0.307718 | + | 0.638984i | ||||
\(496\) | 2.35489e8 | − | 3.54943e7i | 1.92986 | − | 0.290880i | ||||
\(497\) | −1.95588e7 | − | 4.98351e7i | −0.159321 | − | 0.405944i | ||||
\(498\) | 1.39799e7 | + | 1.86549e8i | 0.113192 | + | 1.51044i | ||||
\(499\) | −3.15581e7 | − | 3.40115e7i | −0.253986 | − | 0.273731i | 0.593169 | − | 0.805078i | \(-0.297877\pi\) |
−0.847155 | + | 0.531347i | \(0.821686\pi\) | |||||||
\(500\) | −2.24183e8 | + | 5.11683e7i | −1.79346 | + | 0.409347i | ||||
\(501\) | −977509. | + | 6.48535e6i | −0.00777334 | + | 0.0515727i | ||||
\(502\) | 1.02067e8 | − | 1.49705e8i | 0.806816 | − | 1.18338i | ||||
\(503\) | −510030. | − | 1.65348e6i | −0.00400767 | − | 0.0129925i | 0.953547 | − | 0.301245i | \(-0.0974021\pi\) |
−0.957555 | + | 0.288252i | \(0.906926\pi\) | |||||||
\(504\) | −2.24669e7 | + | 2.99800e8i | −0.175490 | + | 2.34174i | ||||
\(505\) | 2.82569e8 | − | 2.25341e8i | 2.19407 | − | 1.74971i | ||||
\(506\) | 5.18187e7 | − | 1.67992e8i | 0.399977 | − | 1.29669i | ||||
\(507\) | −7.28461e7 | − | 2.85900e7i | −0.558962 | − | 0.219376i | ||||
\(508\) | −1.85953e7 | + | 8.14715e7i | −0.141845 | + | 0.621462i | ||||
\(509\) | 9.88336e7 | + | 1.71185e8i | 0.749465 | + | 1.29811i | 0.948080 | + | 0.318033i | \(0.103022\pi\) |
−0.198615 | + | 0.980078i | \(0.563644\pi\) | |||||||
\(510\) | 2.99869e8 | + | 1.73129e8i | 2.26059 | + | 1.30515i | ||||
\(511\) | −2.54802e8 | − | 2.36422e8i | −1.90959 | − | 1.77184i | ||||
\(512\) | 2.23149e8 | + | 1.77956e8i | 1.66259 | + | 1.32587i | ||||
\(513\) | −2.36239e7 | + | 1.61065e7i | −0.174984 | + | 0.119302i | ||||
\(514\) | 8.84521e7 | − | 4.25963e7i | 0.651356 | − | 0.313677i | ||||
\(515\) | 1.66937e8i | 1.22217i | ||||||||
\(516\) | −1.90027e8 | + | 1.24719e8i | −1.38314 | + | 0.907787i | ||||
\(517\) | −1.20402e8 | −0.871287 | ||||||||
\(518\) | 7.43482e7 | + | 1.54386e8i | 0.534910 | + | 1.11075i | ||||
\(519\) | 7.35438e7 | + | 1.07869e8i | 0.526070 | + | 0.771603i | ||||
\(520\) | 1.31745e8 | − | 1.65203e8i | 0.936965 | − | 1.17492i | ||||
\(521\) | −9.84645e7 | + | 1.06119e8i | −0.696252 | + | 0.750381i | −0.977886 | − | 0.209141i | \(-0.932933\pi\) |
0.281634 | + | 0.959522i | \(0.409124\pi\) | |||||||
\(522\) | 7.39616e7 | − | 1.28105e8i | 0.519990 | − | 0.900648i | ||||
\(523\) | −1.42603e8 | + | 8.23318e7i | −0.996835 | + | 0.575523i | −0.907310 | − | 0.420462i | \(-0.861868\pi\) |
−0.0895245 | + | 0.995985i | \(0.528535\pi\) | |||||||
\(524\) | 2.07361e8 | + | 4.73288e7i | 1.44123 | + | 0.328951i | ||||
\(525\) | 1.07488e8 | − | 2.73874e8i | 0.742814 | − | 1.89266i | ||||
\(526\) | 1.69668e8 | + | 5.23358e7i | 1.16585 | + | 0.359618i | ||||
\(527\) | −1.06709e8 | − | 1.33809e8i | −0.729071 | − | 0.914226i | ||||
\(528\) | 1.98816e8 | + | 1.48992e7i | 1.35067 | + | 0.101219i | ||||
\(529\) | −4.46942e7 | + | 1.37863e7i | −0.301915 | + | 0.0931283i | ||||
\(530\) | −3.62241e8 | − | 2.46972e8i | −2.43315 | − | 1.65890i | ||||
\(531\) | 8.11404e7 | + | 1.22299e7i | 0.541943 | + | 0.0816848i | ||||
\(532\) | −3.00409e7 | − | 1.31618e8i | −0.199516 | − | 0.874137i | ||||
\(533\) | 6.00934e6 | − | 5.57585e6i | 0.0396867 | − | 0.0368239i | ||||
\(534\) | 2.48853e7 | − | 1.86489e6i | 0.163425 | − | 0.0122470i | ||||
\(535\) | 1.13983e8 | − | 4.47351e7i | 0.744355 | − | 0.292138i | ||||
\(536\) | −1.03964e7 | − | 6.89754e7i | −0.0675130 | − | 0.447919i | ||||
\(537\) | −8.25749e7 | − | 3.97660e7i | −0.533243 | − | 0.256796i | ||||
\(538\) | −1.36857e7 | + | 2.84187e7i | −0.0878864 | + | 0.182498i | ||||
\(539\) | 3.73301e8 | − | 5.62660e7i | 2.38393 | − | 0.359319i | ||||
\(540\) | −2.25595e8 | − | 5.74807e8i | −1.43268 | − | 3.65040i | ||||
\(541\) | −1.83254e6 | − | 2.44535e7i | −0.0115734 | − | 0.154436i | −0.999996 | − | 0.00271253i | \(-0.999137\pi\) |
0.988423 | − | 0.151724i | \(-0.0484825\pi\) | |||||||
\(542\) | −1.43257e8 | − | 1.54394e8i | −0.899742 | − | 0.969691i | ||||
\(543\) | 1.55285e8 | − | 3.54428e7i | 0.969907 | − | 0.221375i | ||||
\(544\) | −4.44796e7 | + | 2.95103e8i | −0.276289 | + | 1.83306i | ||||
\(545\) | 7.10661e7 | − | 1.04235e8i | 0.439008 | − | 0.643907i | ||||
\(546\) | 4.62467e7 | + | 1.49928e8i | 0.284120 | + | 0.921096i | ||||
\(547\) | −122116. | + | 1.62953e6i | −0.000746124 | + | 0.00995634i | −0.997564 | − | 0.0697510i | \(-0.977780\pi\) |
0.996818 | + | 0.0797073i | \(0.0253986\pi\) | |||||||
\(548\) | −6.06964e7 | + | 4.84037e7i | −0.368825 | + | 0.294129i | ||||
\(549\) | 1.90921e7 | − | 6.18949e7i | 0.115381 | − | 0.374057i | ||||
\(550\) | 3.80541e8 | + | 1.49351e8i | 2.28725 | + | 0.897680i | ||||
\(551\) | −8.46243e6 | + | 3.70763e7i | −0.0505872 | + | 0.221637i | ||||
\(552\) | 1.20393e8 | + | 2.08527e8i | 0.715788 | + | 1.23978i | ||||
\(553\) | 1.26026e8 | + | 7.27609e7i | 0.745218 | + | 0.430252i | ||||
\(554\) | −2.95864e8 | − | 2.74522e8i | −1.74006 | − | 1.61454i | ||||
\(555\) | −5.25007e7 | − | 4.18679e7i | −0.307105 | − | 0.244908i | ||||
\(556\) | −1.51751e8 | + | 1.03462e8i | −0.882894 | + | 0.601947i | ||||
\(557\) | −2.59888e8 | + | 1.25156e8i | −1.50391 | + | 0.724243i | −0.990958 | − | 0.134176i | \(-0.957161\pi\) |
−0.512949 | + | 0.858419i | \(0.671447\pi\) | |||||||
\(558\) | 1.45194e8i | 0.835692i | ||||||||
\(559\) | 3.92113e7 | − | 5.53933e7i | 0.224479 | − | 0.317119i | ||||
\(560\) | 1.13647e9 | 6.47131 | ||||||||
\(561\) | −6.21677e7 | − | 1.29093e8i | −0.352108 | − | 0.731160i | ||||
\(562\) | −2.17101e7 | − | 3.18429e7i | −0.122307 | − | 0.179392i | ||||
\(563\) | 5.31618e7 | − | 6.66627e7i | 0.297902 | − | 0.373558i | −0.610242 | − | 0.792215i | \(-0.708928\pi\) |
0.908144 | + | 0.418657i | \(0.137499\pi\) | |||||||
\(564\) | 1.95914e8 | − | 2.11145e8i | 1.09201 | − | 1.17691i | ||||
\(565\) | 2.93554e7 | − | 5.08450e7i | 0.162758 | − | 0.281905i | ||||
\(566\) | −5.22433e8 | + | 3.01627e8i | −2.88125 | + | 1.66349i | ||||
\(567\) | 8.54076e7 | + | 1.94937e7i | 0.468541 | + | 0.106941i | ||||
\(568\) | −3.72221e7 | + | 9.48403e7i | −0.203121 | + | 0.517545i | ||||
\(569\) | 1.84322e8 | + | 5.68558e7i | 1.00055 | + | 0.308630i | 0.751409 | − | 0.659837i | \(-0.229375\pi\) |
0.249144 | + | 0.968466i | \(0.419851\pi\) | |||||||
\(570\) | 4.70864e7 | + | 5.90445e7i | 0.254256 | + | 0.318827i | ||||
\(571\) | 1.03215e8 | + | 7.73492e6i | 0.554416 | + | 0.0415477i | 0.348993 | − | 0.937125i | \(-0.386524\pi\) |
0.205423 | + | 0.978673i | \(0.434143\pi\) | |||||||
\(572\) | −1.45937e8 | + | 4.50156e7i | −0.779789 | + | 0.240533i | ||||
\(573\) | 1.73808e8 | + | 1.18500e8i | 0.923861 | + | 0.629878i | ||||
\(574\) | 9.14114e7 | + | 1.37781e7i | 0.483353 | + | 0.0728538i | ||||
\(575\) | 5.23975e7 | + | 2.29569e8i | 0.275618 | + | 1.20756i | ||||
\(576\) | 3.62370e7 | − | 3.36230e7i | 0.189620 | − | 0.175942i | ||||
\(577\) | −2.32519e7 | + | 1.74249e6i | −0.121041 | + | 0.00907075i | −0.135113 | − | 0.990830i | \(-0.543140\pi\) |
0.0140720 | + | 0.999901i | \(0.495521\pi\) | |||||||
\(578\) | 2.08042e8 | − | 8.16504e7i | 1.07738 | − | 0.422839i | ||||
\(579\) | 4.87308e6 | + | 3.23308e7i | 0.0251055 | + | 0.166564i | ||||
\(580\) | −7.39981e8 | − | 3.56356e8i | −3.79259 | − | 1.82642i | ||||
\(581\) | 1.91452e8 | − | 3.97555e8i | 0.976185 | − | 2.02707i | ||||
\(582\) | −2.91076e8 | + | 4.38726e7i | −1.47651 | + | 0.222549i | ||||
\(583\) | 6.62797e7 | + | 1.68878e8i | 0.334484 | + | 0.852251i | ||||
\(584\) | 4.94335e7 | + | 6.59645e8i | 0.248189 | + | 3.31186i | ||||
\(585\) | 4.17916e7 | + | 4.50407e7i | 0.208748 | + | 0.224977i | ||||
\(586\) | −2.12940e8 | + | 4.86022e7i | −1.05819 | + | 0.241525i | ||||
\(587\) | −3.35647e6 | + | 2.22687e7i | −0.0165947 | + | 0.110098i | −0.995595 | − | 0.0937619i | \(-0.970111\pi\) |
0.979000 | + | 0.203860i | \(0.0653488\pi\) | |||||||
\(588\) | −5.08751e8 | + | 7.46200e8i | −2.50249 | + | 3.67049i | ||||
\(589\) | −1.10027e7 | − | 3.56698e7i | −0.0538459 | − | 0.174564i | ||||
\(590\) | 4.86020e7 | − | 6.48549e8i | 0.236645 | − | 3.15781i | ||||
\(591\) | 4.07986e7 | − | 3.25358e7i | 0.197644 | − | 0.157616i | ||||
\(592\) | 4.58439e7 | − | 1.48622e8i | 0.220962 | − | 0.716340i | ||||
\(593\) | −8.42996e7 | − | 3.30852e7i | −0.404261 | − | 0.158661i | 0.154494 | − | 0.987994i | \(-0.450625\pi\) |
−0.558755 | + | 0.829333i | \(0.688721\pi\) | |||||||
\(594\) | −8.11637e7 | + | 3.55601e8i | −0.387260 | + | 1.69670i | ||||
\(595\) | −4.08366e8 | − | 7.07311e8i | −1.93865 | − | 3.35784i | ||||
\(596\) | 3.86229e8 | + | 2.22989e8i | 1.82434 | + | 1.05328i | ||||
\(597\) | 7.69509e7 | + | 7.14000e7i | 0.361652 | + | 0.335564i | ||||
\(598\) | −9.81776e7 | − | 7.82940e7i | −0.459102 | − | 0.366121i | ||||
\(599\) | −2.23609e8 | + | 1.52454e8i | −1.04042 | + | 0.709347i | −0.957859 | − | 0.287239i | \(-0.907263\pi\) |
−0.0825619 | + | 0.996586i | \(0.526310\pi\) | |||||||
\(600\) | −5.04461e8 | + | 2.42935e8i | −2.33547 | + | 1.12470i | ||||
\(601\) | 2.42174e8i | 1.11559i | 0.829979 | + | 0.557795i | \(0.188352\pi\) | ||||
−0.829979 | + | 0.557795i | \(0.811648\pi\) | |||||||
\(602\) | 7.64072e8 | − | 4.37602e7i | 3.50223 | − | 0.200581i | ||||
\(603\) | 2.02833e7 | 0.0925095 | ||||||||
\(604\) | −2.54710e7 | − | 5.28910e7i | −0.115594 | − | 0.240033i | ||||
\(605\) | 3.82209e7 | + | 5.60598e7i | 0.172598 | + | 0.253154i | ||||
\(606\) | 3.18429e8 | − | 3.99298e8i | 1.43085 | − | 1.79423i | ||||
\(607\) | 85324.9 | − | 91958.4i | 0.000381514 | − | 0.000411174i | −0.732861 | − | 0.680378i | \(-0.761815\pi\) |
0.733243 | + | 0.679967i | \(0.238006\pi\) | |||||||
\(608\) | −3.25452e7 | + | 5.63699e7i | −0.144802 | + | 0.250805i | ||||
\(609\) | 3.02377e8 | − | 1.74578e8i | 1.33874 | − | 0.772924i | ||||
\(610\) | −5.00504e8 | − | 1.14237e8i | −2.20505 | − | 0.503288i | ||||
\(611\) | −3.14200e7 | + | 8.00568e7i | −0.137747 | + | 0.350974i | ||||
\(612\) | −3.27314e8 | − | 1.00963e8i | −1.42794 | − | 0.440461i | ||||
\(613\) | −2.14183e8 | − | 2.68577e8i | −0.929831 | − | 1.16597i | −0.985865 | − | 0.167543i | \(-0.946417\pi\) |
0.0560335 | − | 0.998429i | \(-0.482155\pi\) | |||||||
\(614\) | −2.24623e8 | − | 1.68331e7i | −0.970394 | − | 0.0727210i | ||||
\(615\) | −3.46176e7 | + | 1.06781e7i | −0.148824 | + | 0.0459060i | ||||
\(616\) | −8.14680e8 | − | 5.55439e8i | −3.48534 | − | 2.37626i | ||||
\(617\) | −2.58494e8 | − | 3.89617e7i | −1.10051 | − | 0.165875i | −0.426421 | − | 0.904525i | \(-0.640226\pi\) |
−0.674090 | + | 0.738649i | \(0.735464\pi\) | |||||||
\(618\) | 5.24925e7 | + | 2.29985e8i | 0.222398 | + | 0.974391i | ||||
\(619\) | 3.05791e8 | − | 2.83733e8i | 1.28930 | − | 1.19629i | 0.320834 | − | 0.947135i | \(-0.396037\pi\) |
0.968463 | − | 0.249158i | \(-0.0801538\pi\) | |||||||
\(620\) | 8.03910e8 | − | 6.02447e7i | 3.37312 | − | 0.252781i | ||||
\(621\) | −1.95574e8 | + | 7.67571e7i | −0.816650 | + | 0.320511i | ||||
\(622\) | 9.77920e7 | + | 6.48808e8i | 0.406380 | + | 2.69615i | ||||
\(623\) | −5.30331e7 | − | 2.55394e7i | −0.219322 | − | 0.105620i | ||||
\(624\) | 6.17897e7 | − | 1.28308e8i | 0.254309 | − | 0.528079i | ||||
\(625\) | 6.15155e7 | − | 9.27198e6i | 0.251968 | − | 0.0379780i | ||||
\(626\) | 7.67438e7 | + | 1.95540e8i | 0.312839 | + | 0.797100i | ||||
\(627\) | −2.33535e6 | − | 3.11631e7i | −0.00947435 | − | 0.126426i | ||||
\(628\) | −3.25014e8 | − | 3.50282e8i | −1.31227 | − | 1.41429i | ||||
\(629\) | −1.08972e8 | + | 2.48722e7i | −0.437889 | + | 0.0999454i | ||||
\(630\) | −1.03268e8 | + | 6.85139e8i | −0.412995 | + | 2.74004i | ||||
\(631\) | −2.41994e8 | + | 3.54940e8i | −0.963201 | + | 1.41276i | −0.0529977 | + | 0.998595i | \(0.516878\pi\) |
−0.910203 | + | 0.414162i | \(0.864075\pi\) | |||||||
\(632\) | −8.16296e7 | − | 2.64637e8i | −0.323367 | − | 1.04833i | ||||
\(633\) | −1.15806e7 | + | 1.54532e8i | −0.0456583 | + | 0.609267i | ||||
\(634\) | 5.29968e8 | − | 4.22635e8i | 2.07961 | − | 1.65843i | ||||
\(635\) | −3.25010e7 | + | 1.05366e8i | −0.126933 | + | 0.411508i | ||||
\(636\) | −4.04004e8 | − | 1.58560e8i | −1.57042 | − | 0.616343i | ||||
\(637\) | 6.00043e7 | − | 2.62896e8i | 0.232147 | − | 1.01710i | ||||
\(638\) | 2.42572e8 | + | 4.20146e8i | 0.934067 | + | 1.61785i | ||||
\(639\) | −2.56566e7 | − | 1.48128e7i | −0.0983323 | − | 0.0567722i | ||||
\(640\) | 1.53296e8 | + | 1.42238e8i | 0.584779 | + | 0.542596i | ||||
\(641\) | −1.76398e8 | − | 1.40673e8i | −0.669762 | − | 0.534117i | 0.228519 | − | 0.973539i | \(-0.426612\pi\) |
−0.898281 | + | 0.439422i | \(0.855183\pi\) | |||||||
\(642\) | 1.42965e8 | − | 9.74716e7i | 0.540286 | − | 0.368361i | ||||
\(643\) | 1.32612e8 | − | 6.38626e7i | 0.498827 | − | 0.240223i | −0.167514 | − | 0.985870i | \(-0.553574\pi\) |
0.666341 | + | 0.745647i | \(0.267860\pi\) | |||||||
\(644\) | − | 9.92012e8i | − | 3.71415i | ||||||
\(645\) | −2.62333e8 | + | 1.45367e8i | −0.977628 | + | 0.541733i | ||||
\(646\) | 1.25707e8 | 0.466295 | ||||||||
\(647\) | 4.18740e7 | + | 8.69524e7i | 0.154608 | + | 0.321047i | 0.963858 | − | 0.266418i | \(-0.0858402\pi\) |
−0.809249 | + | 0.587465i | \(0.800126\pi\) | |||||||
\(648\) | −9.39155e7 | − | 1.37749e8i | −0.345153 | − | 0.506247i | ||||
\(649\) | −1.67795e8 | + | 2.10408e8i | −0.613825 | + | 0.769712i | ||||
\(650\) | 1.98612e8 | − | 2.14052e8i | 0.723210 | − | 0.779435i | ||||
\(651\) | −1.71357e8 | + | 2.96799e8i | −0.621096 | + | 1.07577i | ||||
\(652\) | 8.79055e8 | − | 5.07523e8i | 3.17156 | − | 1.83110i | ||||
\(653\) | −1.53851e8 | − | 3.51154e7i | −0.552535 | − | 0.126112i | −0.0628675 | − | 0.998022i | \(-0.520025\pi\) |
−0.489667 | + | 0.871909i | \(0.662882\pi\) | |||||||
\(654\) | 6.51295e7 | − | 1.65947e8i | 0.232833 | − | 0.593249i | ||||
\(655\) | 2.68177e8 | + | 8.27215e7i | 0.954326 | + | 0.294371i | ||||
\(656\) | −5.23156e7 | − | 6.56017e7i | −0.185319 | − | 0.232383i | ||||
\(657\) | −1.91812e8 | − | 1.43743e7i | −0.676363 | − | 0.0506864i | ||||
\(658\) | −9.26739e8 | + | 2.85861e8i | −3.25297 | + | 1.00341i | ||||
\(659\) | 4.70991e8 | + | 3.21116e8i | 1.64572 | + | 1.12203i | 0.873749 | + | 0.486377i | \(0.161682\pi\) |
0.771972 | + | 0.635657i | \(0.219271\pi\) | |||||||
\(660\) | 6.67367e8 | + | 1.00589e8i | 2.32131 | + | 0.349881i | ||||
\(661\) | 8.16064e7 | + | 3.57541e8i | 0.282566 | + | 1.23800i | 0.894491 | + | 0.447087i | \(0.147538\pi\) |
−0.611924 | + | 0.790916i | \(0.709604\pi\) | |||||||
\(662\) | −1.36583e8 | + | 1.26730e8i | −0.470784 | + | 0.436824i | ||||
\(663\) | −1.02059e8 | + | 7.64824e6i | −0.350194 | + | 0.0262434i | ||||
\(664\) | −7.81693e8 | + | 3.06792e8i | −2.67013 | + | 1.04795i | ||||
\(665\) | −2.65494e7 | − | 1.76144e8i | −0.0902795 | − | 0.598966i | ||||
\(666\) | 8.54339e7 | + | 4.11428e7i | 0.289206 | + | 0.139274i | ||||
\(667\) | −1.21247e8 | + | 2.51773e8i | −0.408597 | + | 0.848460i | ||||
\(668\) | −5.08483e7 | + | 7.66415e6i | −0.170587 | + | 0.0257119i | ||||
\(669\) | −1.23483e8 | − | 3.14629e8i | −0.412409 | − | 1.05080i | ||||
\(670\) | −1.20137e7 | − | 1.60312e8i | −0.0399441 | − | 0.533017i | ||||
\(671\) | 1.44492e8 | + | 1.55726e8i | 0.478274 | + | 0.515457i | ||||
\(672\) | 5.82617e8 | − | 1.32979e8i | 1.91989 | − | 0.438201i | ||||
\(673\) | −6.60601e7 | + | 4.38280e8i | −0.216717 | + | 1.43783i | 0.570575 | + | 0.821246i | \(0.306720\pi\) |
−0.787292 | + | 0.616580i | \(0.788518\pi\) | |||||||
\(674\) | 4.05089e8 | − | 5.94156e8i | 1.32303 | − | 1.94053i | ||||
\(675\) | −1.44002e8 | − | 4.66842e8i | −0.468227 | − | 1.51795i | ||||
\(676\) | 4.58516e7 | − | 6.11847e8i | 0.148427 | − | 1.98063i | ||||
\(677\) | −6.53874e7 | + | 5.21447e7i | −0.210731 | + | 0.168052i | −0.723167 | − | 0.690673i | \(-0.757314\pi\) |
0.512436 | + | 0.858725i | \(0.328743\pi\) | |||||||
\(678\) | 2.44541e7 | − | 7.92782e7i | 0.0784625 | − | 0.254369i | ||||
\(679\) | 6.46329e8 | + | 2.53666e8i | 2.06464 | + | 0.810312i | ||||
\(680\) | −3.45866e8 | + | 1.51534e9i | −1.09997 | + | 4.81929i | ||||
\(681\) | 9.83488e7 | + | 1.70345e8i | 0.311407 | + | 0.539372i | ||||
\(682\) | −4.12395e8 | − | 2.38096e8i | −1.30005 | − | 0.750585i | ||||
\(683\) | 1.12458e8 | + | 1.04346e8i | 0.352962 | + | 0.327501i | 0.836648 | − | 0.547741i | \(-0.184512\pi\) |
−0.483686 | + | 0.875242i | \(0.660702\pi\) | |||||||
\(684\) | −5.84089e7 | − | 4.65795e7i | −0.182520 | − | 0.145555i | ||||
\(685\) | −8.46365e7 | + | 5.77042e7i | −0.263321 | + | 0.179529i | ||||
\(686\) | 1.71940e9 | − | 8.28021e8i | 5.32605 | − | 2.56489i | ||||
\(687\) | − | 3.18302e8i | − | 0.981679i | ||||||
\(688\) | −5.35401e8 | − | 4.42596e8i | −1.64405 | − | 1.35907i | ||||
\(689\) | 1.29586e8 | 0.396186 | ||||||||
\(690\) | 2.40776e8 | + | 4.99978e8i | 0.732937 | + | 1.52196i | ||||
\(691\) | −3.39236e6 | − | 4.97567e6i | −0.0102818 | − | 0.0150806i | 0.821063 | − | 0.570837i | \(-0.193381\pi\) |
−0.831345 | + | 0.555756i | \(0.812429\pi\) | |||||||
\(692\) | −6.38209e8 | + | 8.00289e8i | −1.92595 | + | 2.41506i | ||||
\(693\) | 1.95014e8 | − | 2.10175e8i | 0.585958 | − | 0.631513i | ||||
\(694\) | −3.94441e8 | + | 6.83192e8i | −1.18006 | + | 2.04392i | ||||
\(695\) | −2.09875e8 | + | 1.21171e8i | −0.625182 | + | 0.360949i | ||||
\(696\) | −6.47812e8 | − | 1.47859e8i | −1.92142 | − | 0.438551i | ||||
\(697\) | −2.20305e7 | + | 5.61327e7i | −0.0650617 | + | 0.165775i | ||||
\(698\) | −5.28213e8 | − | 1.62932e8i | −1.55326 | − | 0.479116i | ||||
\(699\) | 7.08725e7 | + | 8.88713e7i | 0.207514 | + | 0.260214i | ||||
\(700\) | 2.30031e9 | + | 1.72385e8i | 6.70645 | + | 0.502579i | ||||
\(701\) | 5.70152e8 | − | 1.75869e8i | 1.65515 | − | 0.510545i | 0.680209 | − | 0.733019i | \(-0.261889\pi\) |
0.974939 | + | 0.222473i | \(0.0714130\pi\) | |||||||
\(702\) | 2.15264e8 | + | 1.46764e8i | 0.622242 | + | 0.424237i | ||||
\(703\) | −2.41063e7 | − | 3.63344e6i | −0.0693849 | − | 0.0104581i | ||||
\(704\) | 3.60763e7 | + | 1.58061e8i | 0.103396 | + | 0.453008i | ||||
\(705\) | 2.78601e8 | − | 2.58504e8i | 0.795090 | − | 0.737735i | ||||
\(706\) | 2.54854e8 | − | 1.90986e7i | 0.724231 | − | 0.0542736i | ||||
\(707\) | −1.12138e9 | + | 4.40110e8i | −3.17318 | + | 1.24538i | ||||
\(708\) | −9.59559e7 | − | 6.36626e8i | −0.270378 | − | 1.79384i | ||||
\(709\) | 2.03454e8 | + | 9.79783e7i | 0.570857 | + | 0.274910i | 0.696964 | − | 0.717106i | \(-0.254534\pi\) |
−0.126106 | + | 0.992017i | \(0.540248\pi\) | |||||||
\(710\) | −1.01879e8 | + | 2.11554e8i | −0.284649 | + | 0.591080i | ||||
\(711\) | 7.96295e7 | − | 1.20022e7i | 0.221547 | − | 0.0333928i | ||||
\(712\) | 4.09254e7 | + | 1.04276e8i | 0.113384 | + | 0.288899i | ||||
\(713\) | −2.04978e7 | − | 2.73524e8i | −0.0565508 | − | 0.754618i | ||||
\(714\) | −7.85003e8 | − | 8.46032e8i | −2.15664 | − | 2.32430i | ||||
\(715\) | −1.96461e8 | + | 4.48410e7i | −0.537475 | + | 0.122675i | ||||
\(716\) | 1.07100e8 | − | 7.10565e8i | 0.291778 | − | 1.93582i | ||||
\(717\) | 1.95850e8 | − | 2.87259e8i | 0.531332 | − | 0.779321i | ||||
\(718\) | −3.88667e8 | − | 1.26003e9i | −1.05004 | − | 3.40414i | ||||
\(719\) | −1.39653e7 | + | 1.86353e8i | −0.0375718 | + | 0.501361i | 0.946395 | + | 0.323011i | \(0.104695\pi\) |
−0.983967 | + | 0.178350i | \(0.942924\pi\) | |||||||
\(720\) | 4.91692e8 | − | 3.92111e8i | 1.31733 | − | 1.05054i | ||||
\(721\) | 1.64009e8 | − | 5.31703e8i | 0.437583 | − | 1.41861i | ||||
\(722\) | −6.14700e8 | − | 2.41252e8i | −1.63325 | − | 0.641002i | ||||
\(723\) | −8.76955e7 | + | 3.84219e8i | −0.232040 | + | 1.01663i | ||||
\(724\) | 6.24410e8 | + | 1.08151e9i | 1.64534 | + | 2.84980i | ||||
\(725\) | −5.62750e8 | − | 3.24904e8i | −1.47673 | − | 0.852592i | ||||
\(726\) | 7.02834e7 | + | 6.52135e7i | 0.183672 | + | 0.170423i | ||||
\(727\) | −2.26513e8 | − | 1.80638e8i | −0.589508 | − | 0.470117i | 0.282729 | − | 0.959200i | \(-0.408760\pi\) |
−0.872237 | + | 0.489083i | \(0.837332\pi\) | |||||||
\(728\) | −5.81917e8 | + | 3.96744e8i | −1.50823 | + | 1.02829i | ||||
\(729\) | 3.05529e8 | − | 1.47135e8i | 0.788623 | − | 0.379781i | ||||
\(730\) | 1.52453e9i | 3.91892i | ||||||||
\(731\) | −8.30762e7 | + | 4.92260e8i | −0.212679 | + | 1.26021i | ||||
\(732\) | −5.08204e8 | −1.29570 | ||||||||
\(733\) | 2.20560e8 | + | 4.57997e8i | 0.560034 | + | 1.16292i | 0.968238 | + | 0.250032i | \(0.0804412\pi\) |
−0.408203 | + | 0.912891i | \(0.633845\pi\) | |||||||
\(734\) | −4.64116e8 | − | 6.80733e8i | −1.17365 | − | 1.72143i | ||||
\(735\) | −7.42988e8 | + | 9.31678e8i | −1.87120 | + | 2.34641i | ||||
\(736\) | −3.25320e8 | + | 3.50611e8i | −0.815975 | + | 0.879412i | ||||
\(737\) | −3.32615e7 | + | 5.76107e7i | −0.0830883 | + | 0.143913i | ||||
\(738\) | 4.43030e7 | − | 2.55783e7i | 0.110221 | − | 0.0636360i | ||||
\(739\) | −2.56617e8 | − | 5.85711e7i | −0.635846 | − | 0.145128i | −0.107566 | − | 0.994198i | \(-0.534306\pi\) |
−0.528280 | + | 0.849070i | \(0.677163\pi\) | |||||||
\(740\) | 1.92351e8 | − | 4.90101e8i | 0.474677 | − | 1.20946i | ||||
\(741\) | −2.13302e7 | − | 6.57949e6i | −0.0524252 | − | 0.0161710i | ||||
\(742\) | 9.11113e8 | + | 1.14250e9i | 2.23029 | + | 2.79669i | ||||
\(743\) | −3.38428e8 | − | 2.53617e7i | −0.825087 | − | 0.0618318i | −0.344508 | − | 0.938783i | \(-0.611954\pi\) |
−0.480579 | + | 0.876951i | \(0.659573\pi\) | |||||||
\(744\) | 6.23237e8 | − | 1.92243e8i | 1.51333 | − | 0.466801i | ||||
\(745\) | 4.86208e8 | + | 3.31491e8i | 1.17585 | + | 0.801684i | ||||
\(746\) | 4.11229e8 | + | 6.19828e7i | 0.990529 | + | 0.149298i | ||||
\(747\) | −5.43353e7 | − | 2.38058e8i | −0.130353 | − | 0.571113i | ||||
\(748\) | 8.23511e8 | − | 7.64107e8i | 1.96773 | − | 1.82578i | ||||
\(749\) | −4.06992e8 | + | 3.04998e7i | −0.968590 | + | 0.0725858i | ||||
\(750\) | −3.99113e8 | + | 1.56640e8i | −0.946047 | + | 0.371296i | ||||
\(751\) | 7.32654e7 | + | 4.86084e8i | 0.172973 | + | 1.14760i | 0.891805 | + | 0.452419i | \(0.149439\pi\) |
−0.718832 | + | 0.695184i | \(0.755323\pi\) | |||||||
\(752\) | 7.93098e8 | + | 3.81936e8i | 1.86498 | + | 0.898126i | ||||
\(753\) | 1.02686e8 | − | 2.13229e8i | 0.240506 | − | 0.499415i | ||||
\(754\) | 3.42662e8 | − | 5.16480e7i | 0.799378 | − | 0.120487i | ||||
\(755\) | −2.82991e7 | − | 7.21050e7i | −0.0657555 | − | 0.167542i | ||||
\(756\) | 1.53808e8 | + | 2.05242e9i | 0.355969 | + | 4.75008i | ||||
\(757\) | −3.20188e8 | − | 3.45080e8i | −0.738103 | − | 0.795485i | 0.246713 | − | 0.969089i | \(-0.420649\pi\) |
−0.984816 | + | 0.173603i | \(0.944459\pi\) | |||||||
\(758\) | 6.54140e8 | − | 1.49303e8i | 1.50198 | − | 0.342816i | ||||
\(759\) | 3.42248e7 | − | 2.27067e8i | 0.0782736 | − | 0.519312i | ||||
\(760\) | −1.90967e8 | + | 2.80097e8i | −0.435028 | + | 0.638069i | ||||
\(761\) | 1.14347e8 | + | 3.70702e8i | 0.259459 | + | 0.841146i | 0.987773 | + | 0.155902i | \(0.0498283\pi\) |
−0.728313 | + | 0.685244i | \(0.759695\pi\) | |||||||
\(762\) | −1.16440e7 | + | 1.55379e8i | −0.0263172 | + | 0.351178i | ||||
\(763\) | −3.28754e8 | + | 2.62173e8i | −0.740113 | + | 0.590220i | ||||
\(764\) | −4.86149e8 | + | 1.57606e9i | −1.09016 | + | 3.53421i | ||||
\(765\) | −4.20721e8 | − | 1.65121e8i | −0.939745 | − | 0.368823i | ||||
\(766\) | 6.96578e7 | − | 3.05191e8i | 0.154983 | − | 0.679024i | ||||
\(767\) | 9.61155e7 | + | 1.66477e8i | 0.213014 | + | 0.368950i | ||||
\(768\) | 3.99502e8 | + | 2.30652e8i | 0.881932 | + | 0.509184i | ||||
\(769\) | 4.92637e7 | + | 4.57100e7i | 0.108330 | + | 0.100515i | 0.732478 | − | 0.680790i | \(-0.238364\pi\) |
−0.624149 | + | 0.781306i | \(0.714554\pi\) | |||||||
\(770\) | −1.77666e9 | − | 1.41684e9i | −3.89163 | − | 3.10347i | ||||
\(771\) | 1.05952e8 | − | 7.22370e7i | 0.231178 | − | 0.157615i | ||||
\(772\) | −2.30966e8 | + | 1.11227e8i | −0.501990 | + | 0.241746i | ||||
\(773\) | − | 6.51427e8i | − | 1.41035i | −0.709033 | − | 0.705175i | \(-0.750868\pi\) | ||
0.709033 | − | 0.705175i | \(-0.249132\pi\) | |||||||
\(774\) | 3.15478e8 | − | 2.82558e8i | 0.680371 | − | 0.609376i | ||||
\(775\) | 6.37820e8 | 1.37023 | ||||||||
\(776\) | −5.73316e8 | − | 1.19050e9i | −1.22690 | − | 2.54768i | ||||
\(777\) | 1.26084e8 | + | 1.84931e8i | 0.268779 | + | 0.394226i | ||||
\(778\) | 7.26100e8 | − | 9.10500e8i | 1.54190 | − | 1.93349i | ||||
\(779\) | −8.94560e6 | + | 9.64107e6i | −0.0189233 | + | 0.0203945i | ||||
\(780\) | 2.41039e8 | − | 4.17492e8i | 0.507929 | − | 0.879759i | ||||
\(781\) | 8.41459e7 | − | 4.85816e7i | 0.176636 | − | 0.101981i | ||||
\(782\) | 9.00544e8 | + | 2.05543e8i | 1.88315 | + | 0.429817i | ||||
\(783\) | 2.11818e8 | − | 5.39704e8i | 0.441243 | − | 1.12427i | ||||
\(784\) | −2.63745e9 | − | 8.13547e8i | −5.47314 | − | 1.68824i | ||||
\(785\) | −3.93111e8 | − | 4.92945e8i | −0.812654 | − | 1.01904i | ||||
\(786\) | 3.95470e8 | + | 2.96364e7i | 0.814415 | + | 0.0610320i | ||||
\(787\) | −9.56767e7 | + | 2.95124e7i | −0.196283 | + | 0.0605452i | −0.391338 | − | 0.920247i | \(-0.627988\pi\) |
0.195055 | + | 0.980792i | \(0.437511\pi\) | |||||||
\(788\) | 3.38050e8 | + | 2.30479e8i | 0.690879 | + | 0.471034i | ||||
\(789\) | 2.29332e8 | + | 3.45663e7i | 0.466911 | + | 0.0703756i | ||||
\(790\) | −1.42025e8 | − | 6.22254e8i | −0.288061 | − | 1.26208i | ||||
\(791\) | −1.43451e8 | + | 1.33103e8i | −0.289850 | + | 0.268942i | ||||
\(792\) | −5.44113e8 | + | 4.07756e7i | −1.09525 | + | 0.0820777i | ||||
\(793\) | 1.41251e8 | − | 5.54368e7i | 0.283251 | − | 0.111168i | ||||
\(794\) | −1.31510e8 | − | 8.72509e8i | −0.262722 | − | 1.74304i | ||||
\(795\) | −5.15950e8 | − | 2.48469e8i | −1.02685 | − | 0.494504i | ||||
\(796\) | −3.57105e8 | + | 7.41535e8i | −0.708037 | + | 1.47025i | ||||
\(797\) | −5.96104e8 | + | 8.98482e7i | −1.17746 | + | 0.177474i | −0.708478 | − | 0.705733i | \(-0.750618\pi\) |
−0.468984 | + | 0.883207i | \(0.655380\pi\) | |||||||
\(798\) | −9.19636e7 | − | 2.34319e8i | −0.180970 | − | 0.461105i | ||||
\(799\) | −4.72755e7 | − | 6.30848e8i | −0.0926821 | − | 1.23676i | ||||
\(800\) | −7.56478e8 | − | 8.15289e8i | −1.47750 | − | 1.59236i | ||||
\(801\) | −3.17565e7 | + | 7.24822e6i | −0.0617925 | + | 0.0141037i | ||||
\(802\) | 1.90038e8 | − | 1.26082e9i | 0.368398 | − | 2.44416i | ||||
\(803\) | 3.55370e8 | − | 5.21233e8i | 0.686333 | − | 1.00666i | ||||
\(804\) | −4.69080e7 | − | 1.52072e8i | −0.0902565 | − | 0.292604i | ||||
\(805\) | 9.78172e7 | − | 1.30528e9i | 0.187511 | − | 2.50216i | ||||
\(806\) | −2.65932e8 | + | 2.12074e8i | −0.507885 | + | 0.405025i | ||||
\(807\) | −1.21440e7 | + | 3.93700e7i | −0.0231069 | + | 0.0749108i | ||||
\(808\) | 2.13408e9 | + | 8.37565e8i | 4.04554 | + | 1.58776i | ||||
\(809\) | −7.93642e6 | + | 3.47717e7i | −0.0149892 | + | 0.0656720i | −0.981869 | − | 0.189559i | \(-0.939294\pi\) |
0.966880 | + | 0.255231i | \(0.0821514\pi\) | |||||||
\(810\) | −1.92115e8 | − | 3.32753e8i | −0.361498 | − | 0.626133i | ||||
\(811\) | 3.18226e8 | + | 1.83728e8i | 0.596587 | + | 0.344439i | 0.767698 | − | 0.640812i | \(-0.221402\pi\) |
−0.171111 | + | 0.985252i | \(0.554736\pi\) | |||||||
\(812\) | 2.00677e9 | + | 1.86201e9i | 3.74825 | + | 3.47787i | ||||
\(813\) | −2.15088e8 | − | 1.71527e8i | −0.400262 | − | 0.319198i | ||||
\(814\) | −2.56957e8 | + | 1.75190e8i | −0.476417 | + | 0.324815i | ||||
\(815\) | 1.20670e9 | − | 5.81114e8i | 2.22908 | − | 1.07347i | ||||
\(816\) | 1.04755e9i | 1.92799i | ||||||||
\(817\) | −5.60913e7 | + | 9.33228e7i | −0.102856 | + | 0.171128i | ||||
\(818\) | −6.14901e8 | −1.12343 | ||||||||
\(819\) | −8.88576e7 | − | 1.84515e8i | −0.161750 | − | 0.335876i | ||||
\(820\) | −1.60004e8 | − | 2.34683e8i | −0.290195 | − | 0.425638i | ||||
\(821\) | 5.98956e8 | − | 7.51067e8i | 1.08234 | − | 1.35722i | 0.152906 | − | 0.988241i | \(-0.451137\pi\) |
0.929439 | − | 0.368976i | \(-0.120292\pi\) | |||||||
\(822\) | −9.84564e7 | + | 1.06111e8i | −0.177267 | + | 0.191049i | ||||
\(823\) | −4.31146e7 | + | 7.46767e7i | −0.0773437 | + | 0.133963i | −0.902103 | − | 0.431521i | \(-0.857977\pi\) |
0.824759 | + | 0.565484i | \(0.191311\pi\) | |||||||
\(824\) | −9.17051e8 | + | 5.29460e8i | −1.63912 | + | 0.946349i | ||||
\(825\) | 5.20583e8 | + | 1.18820e8i | 0.927103 | + | 0.211605i | ||||
\(826\) | −7.91969e8 | + | 2.01790e9i | −1.40530 | + | 3.58064i | ||||
\(827\) | 8.06387e8 | + | 2.48738e8i | 1.42570 | + | 0.439769i | 0.909142 | − | 0.416485i | \(-0.136738\pi\) |
0.516554 | + | 0.856255i | \(0.327214\pi\) | |||||||
\(828\) | −3.42271e8 | − | 4.29194e8i | −0.602947 | − | 0.756071i | ||||
\(829\) | 7.38565e8 | + | 5.53478e7i | 1.29636 | + | 0.0971487i | 0.704970 | − | 0.709237i | \(-0.250961\pi\) |
0.591389 | + | 0.806386i | \(0.298580\pi\) | |||||||
\(830\) | −1.84935e9 | + | 5.70448e8i | −3.23433 | + | 0.997658i | ||||
\(831\) | −4.35582e8 | − | 2.96974e8i | −0.759043 | − | 0.517507i | ||||
\(832\) | 1.14511e8 | + | 1.72598e7i | 0.198828 | + | 0.0299685i | ||||
\(833\) | 4.41383e8 | + | 1.93382e9i | 0.763625 | + | 3.34566i | ||||
\(834\) | −2.51037e8 | + | 2.32928e8i | −0.432752 | + | 0.401535i | ||||
\(835\) | −6.76614e7 | + | 5.07052e6i | −0.116220 | + | 0.00870950i | ||||
\(836\) | 2.28082e8 | − | 8.95155e7i | 0.390366 | − | 0.153207i | ||||
\(837\) | 8.48179e7 | + | 5.62730e8i | 0.144647 | + | 0.959673i | ||||
\(838\) | −1.17988e8 | − | 5.68201e7i | −0.200496 | − | 0.0965540i | ||||
\(839\) | −5.03922e8 | + | 1.04641e9i | −0.853252 | + | 1.77180i | −0.262526 | + | 0.964925i | \(0.584556\pi\) |
−0.590726 | + | 0.806872i | \(0.701159\pi\) | |||||||
\(840\) | 3.07765e9 | − | 4.63881e8i | 5.19255 | − | 0.782652i | ||||
\(841\) | −6.44228e7 | − | 1.64147e8i | −0.108306 | − | 0.275959i | ||||
\(842\) | −3.69362e7 | − | 4.92879e8i | −0.0618750 | − | 0.825665i | ||||
\(843\) | −3.42399e7 | − | 3.69018e7i | −0.0571543 | − | 0.0615977i | ||||
\(844\) | −1.18454e9 | + | 2.70364e8i | −1.97026 | + | 0.449699i | ||||
\(845\) | 1.20662e8 | − | 8.00541e8i | 0.199987 | − | 1.32682i | ||||
\(846\) | −3.02324e8 | + | 4.43428e8i | −0.499300 | + | 0.732339i | ||||
\(847\) | −6.66589e7 | − | 2.16103e8i | −0.109700 | − | 0.355640i | ||||
\(848\) | 9.91202e7 | − | 1.32267e9i | 0.162545 | − | 2.16902i | ||||
\(849\) | −6.16055e8 | + | 4.91288e8i | −1.00669 | + | 0.802810i | ||||
\(850\) | −6.33111e8 | + | 2.05250e9i | −1.03092 | + | 3.34215i | ||||
\(851\) | −1.66753e8 | − | 6.54458e7i | −0.270574 | − | 0.106192i | ||||
\(852\) | −5.17233e7 | + | 2.26615e8i | −0.0836310 | + | 0.366411i | ||||
\(853\) | −1.46538e8 | − | 2.53812e8i | −0.236105 | − | 0.408945i | 0.723489 | − | 0.690336i | \(-0.242537\pi\) |
−0.959593 | + | 0.281391i | \(0.909204\pi\) | |||||||
\(854\) | 1.48189e9 | + | 8.55571e8i | 2.37927 | + | 1.37367i | ||||
\(855\) | −7.22609e7 | − | 6.70483e7i | −0.115613 | − | 0.107273i | ||||
\(856\) | 6.07257e8 | + | 4.84272e8i | 0.968170 | + | 0.772089i | ||||
\(857\) | −4.37458e8 | + | 2.98254e8i | −0.695015 | + | 0.473853i | −0.858580 | − | 0.512679i | \(-0.828653\pi\) |
0.163565 | + | 0.986533i | \(0.447701\pi\) | |||||||
\(858\) | −2.56559e8 | + | 1.23552e8i | −0.406186 | + | 0.195609i | ||||
\(859\) | − | 5.51576e8i | − | 0.870214i | −0.900379 | − | 0.435107i | \(-0.856710\pi\) | ||
0.900379 | − | 0.435107i | \(-0.143290\pi\) | |||||||
\(860\) | −1.69537e9 | − | 1.62949e9i | −2.66544 | − | 2.56187i | ||||
\(861\) | 1.20749e8 | 0.189180 | ||||||||
\(862\) | −8.88125e8 | − | 1.84421e9i | −1.38660 | − | 2.87931i | ||||
\(863\) | −6.53439e8 | − | 9.58418e8i | −1.01665 | − | 1.49116i | −0.864395 | − | 0.502814i | \(-0.832298\pi\) |
−0.152258 | − | 0.988341i | \(-0.548654\pi\) | |||||||
\(864\) | 6.18709e8 | − | 7.75836e8i | 0.959279 | − | 1.20290i | ||||
\(865\) | −9.18662e8 | + | 9.90082e8i | −1.41941 | + | 1.52976i | ||||
\(866\) | −5.98728e8 | + | 1.03703e9i | −0.921883 | + | 1.59675i | ||||
\(867\) | 2.52811e8 | − | 1.45961e8i | 0.387918 | − | 0.223964i | ||||
\(868\) | −2.61967e9 | − | 5.97924e8i | −4.00579 | − | 0.914295i | ||||
\(869\) | −9.64904e7 | + | 2.45854e8i | −0.147036 | + | 0.374643i | ||||
\(870\) | −1.46335e9 | − | 4.51385e8i | −2.22224 | − | 0.685472i | ||||
\(871\) | 2.96262e7 | + | 3.71501e7i | 0.0448354 | + | 0.0562219i | ||||
\(872\) | 7.97995e8 | + | 5.98014e7i | 1.20351 | + | 0.0901908i | ||||
\(873\) | 3.67156e8 | − | 1.13253e8i | 0.551833 | − | 0.170218i | ||||
\(874\) | 1.66457e8 | + | 1.13489e8i | 0.249327 | + | 0.169988i | ||||
\(875\) | 1.00001e9 | + | 1.50728e8i | 1.49273 | + | 0.224993i | ||||
\(876\) | 3.35823e8 | + | 1.47133e9i | 0.499571 | + | 2.18877i | ||||
\(877\) | −4.88267e8 | + | 4.53046e8i | −0.723867 | + | 0.671651i | −0.953420 | − | 0.301646i | \(-0.902464\pi\) |
0.229553 | + | 0.973296i | \(0.426274\pi\) | |||||||
\(878\) | 9.20393e8 | − | 6.89740e7i | 1.35985 | − | 0.101906i | ||||
\(879\) | −2.65572e8 | + | 1.04229e8i | −0.391035 | + | 0.153470i | ||||
\(880\) | 3.07414e8 | + | 2.03956e9i | 0.451103 | + | 2.99287i | ||||
\(881\) | −3.85980e8 | − | 1.85878e8i | −0.564464 | − | 0.271832i | 0.129814 | − | 0.991538i | \(-0.458562\pi\) |
−0.694278 | + | 0.719707i | \(0.744276\pi\) | |||||||
\(882\) | 7.30121e8 | − | 1.51611e9i | 1.06412 | − | 2.20966i | ||||
\(883\) | 6.62532e8 | − | 9.98607e7i | 0.962332 | − | 0.145048i | 0.350959 | − | 0.936391i | \(-0.385856\pi\) |
0.611373 | + | 0.791343i | \(0.290618\pi\) | |||||||
\(884\) | −2.93162e8 | − | 7.46964e8i | −0.424376 | − | 1.08129i | ||||
\(885\) | −6.34834e7 | − | 8.47128e8i | −0.0915863 | − | 1.22213i | ||||
\(886\) | 6.11785e8 | + | 6.59347e8i | 0.879625 | + | 0.948010i | ||||
\(887\) | 6.21619e8 | − | 1.41881e8i | 0.890745 | − | 0.203307i | 0.247428 | − | 0.968906i | \(-0.420415\pi\) |
0.643317 | + | 0.765600i | \(0.277558\pi\) | |||||||
\(888\) | 6.34849e7 | − | 4.21195e8i | 0.0906633 | − | 0.601512i | ||||
\(889\) | 2.07034e8 | − | 3.03664e8i | 0.294671 | − | 0.432203i | ||||
\(890\) | 7.60967e7 | + | 2.46699e8i | 0.107943 | + | 0.349943i | ||||
\(891\) | −1.18817e7 | + | 1.58550e8i | −0.0167975 | + | 0.224147i | ||||
\(892\) | 2.07188e9 | − | 1.65227e9i | 2.91924 | − | 2.32802i | ||||
\(893\) | 4.06693e7 | − | 1.31847e8i | 0.0571101 | − | 0.185146i | ||||
\(894\) | 7.74069e8 | + | 3.03800e8i | 1.08335 | + | 0.425182i | ||||
\(895\) | 2.10987e8 | − | 9.24394e8i | 0.294297 | − | 1.28940i | ||||
\(896\) | −3.48512e8 | − | 6.03641e8i | −0.484501 | − | 0.839180i | ||||
\(897\) | −1.42048e8 | − | 8.20117e7i | −0.196815 | − | 0.113631i | ||||
\(898\) | 8.04720e8 | + | 7.46671e8i | 1.11126 | + | 1.03110i | ||||
\(899\) | 5.91794e8 | + | 4.71940e8i | 0.814500 | + | 0.649542i | ||||
\(900\) | 1.05471e9 | − | 7.19088e8i | 1.44679 | − | 0.986403i | ||||
\(901\) | −8.58815e8 | + | 4.13584e8i | −1.17415 | + | 0.565443i | ||||
\(902\) | 1.67778e8i | 0.228621i | ||||||||
\(903\) | 9.78357e8 | − | 2.05268e8i | 1.32872 | − | 0.278778i | ||||
\(904\) | 3.72414e8 | 0.504105 | ||||||||
\(905\) | 7.14951e8 | + | 1.48461e9i | 0.964563 | + | 2.00293i | ||||
\(906\) | −6.16598e7 | − | 9.04383e7i | −0.0829121 | − | 0.121610i | ||||
\(907\) | −9.87358e6 | + | 1.23811e7i | −0.0132328 | + | 0.0165935i | −0.788404 | − | 0.615158i | \(-0.789092\pi\) |
0.775171 | + | 0.631751i | \(0.217664\pi\) | |||||||
\(908\) | −1.04897e9 | + | 1.13052e9i | −1.40121 | + | 1.51015i | ||||
\(909\) | −3.33316e8 | + | 5.77320e8i | −0.443777 | + | 0.768644i | ||||
\(910\) | −1.40571e9 | + | 8.11587e8i | −1.86540 | + | 1.07699i | ||||
\(911\) | 1.77735e8 | + | 4.05668e7i | 0.235081 | + | 0.0536557i | 0.338438 | − | 0.940989i | \(-0.390101\pi\) |
−0.103357 | + | 0.994644i | \(0.532958\pi\) | |||||||
\(912\) | −8.34717e7 | + | 2.12682e8i | −0.110041 | + | 0.280380i | ||||
\(913\) | 7.65260e8 | + | 2.36051e8i | 1.00553 | + | 0.310166i | ||||
\(914\) | 9.26084e8 | + | 1.16127e9i | 1.21286 | + | 1.52088i | ||||
\(915\) | −6.68690e8 | − | 5.01114e7i | −0.872895 | − | 0.0654144i | ||||
\(916\) | 2.38477e9 | − | 7.35605e8i | 3.10285 | − | 0.957102i | ||||
\(917\) | −7.72883e8 | − | 5.26943e8i | −1.00232 | − | 0.683369i | ||||
\(918\) | −1.89505e9 | − | 2.85633e8i | −2.44958 | − | 0.369215i | ||||
\(919\) | −7.52724e7 | − | 3.29790e8i | −0.0969816 | − | 0.424904i | 0.903007 | − | 0.429625i | \(-0.141354\pi\) |
−0.999989 | + | 0.00472116i | \(0.998497\pi\) | |||||||
\(920\) | −1.82605e9 | + | 1.69432e9i | −2.34503 | + | 2.17587i | ||||
\(921\) | −2.93400e8 | + | 2.19873e7i | −0.375561 | + | 0.0281444i | ||||
\(922\) | −3.56102e8 | + | 1.39760e8i | −0.454340 | + | 0.178315i | ||||
\(923\) | −1.03439e7 | − | 6.86276e7i | −0.0131547 | − | 0.0872757i | ||||
\(924\) | −2.02677e9 | − | 9.76040e8i | −2.56914 | − | 1.23723i | ||||
\(925\) | 1.80735e8 | − | 3.75301e8i | 0.228359 | − | 0.474192i | ||||
\(926\) | 1.29328e9 | − | 1.94930e8i | 1.62877 | − | 0.245497i | ||||
\(927\) | −1.12493e8 | − | 2.86629e8i | −0.141217 | − | 0.359816i | ||||
\(928\) | −9.86351e7 | − | 1.31619e9i | −0.123421 | − | 1.64693i | ||||
\(929\) | −9.36436e7 | − | 1.00924e8i | −0.116797 | − | 0.125877i | 0.671947 | − | 0.740600i | \(-0.265458\pi\) |
−0.788743 | + | 0.614723i | \(0.789268\pi\) | |||||||
\(930\) | 1.46545e9 | − | 3.34480e8i | 1.82189 | − | 0.415835i | ||||
\(931\) | −6.44791e7 | + | 4.27791e8i | −0.0799043 | + | 0.530130i | ||||
\(932\) | −5.02050e8 | + | 7.36372e8i | −0.620154 | + | 0.909598i | ||||
\(933\) | 2.52616e8 | + | 8.18963e8i | 0.311040 | + | 1.00837i | ||||
\(934\) | 1.09170e8 | − | 1.45677e9i | 0.133987 | − | 1.78793i | ||||
\(935\) | 1.15891e9 | − | 9.24202e8i | 1.41780 | − | 1.13066i | ||||
\(936\) | −1.14879e8 | + | 3.72429e8i | −0.140092 | + | 0.454167i | ||||
\(937\) | −1.47294e8 | − | 5.78085e7i | −0.179046 | − | 0.0702705i | 0.274124 | − | 0.961694i | \(-0.411612\pi\) |
−0.453171 | + | 0.891424i | \(0.649707\pi\) | |||||||
\(938\) | −1.19235e8 | + | 5.22403e8i | −0.144476 | + | 0.632990i | ||||
\(939\) | 1.37190e8 | + | 2.37619e8i | 0.165701 | + | 0.287002i | ||||
\(940\) | 2.58061e9 | + | 1.48992e9i | 3.10698 | + | 1.79382i | ||||
\(941\) | −8.15193e8 | − | 7.56389e8i | −0.978344 | − | 0.907771i | 0.0174078 | − | 0.999848i | \(-0.494459\pi\) |
−0.995752 | + | 0.0920779i | \(0.970649\pi\) | |||||||
\(942\) | −6.96580e8 | − | 5.55504e8i | −0.833332 | − | 0.664560i | ||||
\(943\) | −7.98492e7 | + | 5.44403e7i | −0.0952216 | + | 0.0649210i | ||||
\(944\) | 1.77273e9 | − | 8.53703e8i | 2.10730 | − | 1.01482i | ||||
\(945\) | 2.71572e9i | 3.21803i | ||||||||
\(946\) | 2.85216e8 | + | 1.35941e9i | 0.336899 | + | 1.60574i | ||||
\(947\) | 7.61542e8 | 0.896693 | 0.448346 | − | 0.893860i | \(-0.352013\pi\) | ||||
0.448346 | + | 0.893860i | \(0.352013\pi\) | |||||||
\(948\) | −2.74140e8 | − | 5.69257e8i | −0.321771 | − | 0.668165i | ||||
\(949\) | −2.53837e8 | − | 3.72311e8i | −0.297000 | − | 0.435619i | ||||
\(950\) | −2.92088e8 | + | 3.66266e8i | −0.340677 | + | 0.427195i | ||||
\(951\) | 6.02229e8 | − | 6.49049e8i | 0.700197 | − | 0.754633i | ||||
\(952\) | 2.59035e9 | − | 4.48662e9i | 3.00226 | − | 5.20006i | ||||
\(953\) | 9.13074e8 | − | 5.27164e8i | 1.05494 | − | 0.609069i | 0.130911 | − | 0.991394i | \(-0.458210\pi\) |
0.924028 | + | 0.382325i | \(0.124876\pi\) | |||||||
\(954\) | 7.88387e8 | + | 1.79944e8i | 0.908017 | + | 0.207249i | ||||
\(955\) | −7.95077e8 | + | 2.02582e9i | −0.912849 | + | 2.32590i | ||||
\(956\) | 2.60481e9 | + | 8.03476e8i | 2.98127 | + | 0.919601i | ||||
\(957\) | 3.95099e8 | + | 4.95438e8i | 0.450785 | + | 0.565267i | ||||
\(958\) | −6.63987e8 | − | 4.97590e7i | −0.755202 | − | 0.0565946i | ||||
\(959\) | 3.26263e8 | − | 1.00639e8i | 0.369923 | − | 0.114106i | ||||
\(960\) | −4.22836e8 | − | 2.88285e8i | −0.477924 | − | 0.325843i | ||||
\(961\) | 1.42922e8 | + | 2.15420e7i | 0.161038 | + | 0.0242725i | ||||
\(962\) | 4.94311e7 | + | 2.16572e8i | 0.0555232 | + | 0.243263i | ||||
\(963\) | −1.65562e8 | + | 1.53619e8i | −0.185388 | + | 0.172015i | ||||
\(964\) | −3.08130e9 | + | 2.30911e8i | −3.43956 | + | 0.257759i | ||||
\(965\) | −3.14870e8 | + | 1.23577e8i | −0.350388 | + | 0.137517i | ||||
\(966\) | −2.75678e8 | − | 1.82900e9i | −0.305823 | − | 2.02900i | ||||
\(967\) | −6.46525e8 | − | 3.11350e8i | −0.714999 | − | 0.344326i | 0.0407653 | − | 0.999169i | \(-0.487020\pi\) |
−0.755765 | + | 0.654843i | \(0.772735\pi\) | |||||||
\(968\) | −1.86736e8 | + | 3.87761e8i | −0.205874 | + | 0.427502i | ||||
\(969\) | 1.62363e8 | − | 2.44722e7i | 0.178449 | − | 0.0268969i | ||||
\(970\) | −1.11257e9 | − | 2.83479e9i | −1.21903 | − | 3.10603i | ||||
\(971\) | −3.63162e7 | − | 4.84606e8i | −0.0396682 | − | 0.529335i | −0.981274 | − | 0.192618i | \(-0.938302\pi\) |
0.941606 | − | 0.336718i | \(-0.109317\pi\) | |||||||
\(972\) | 1.29120e9 | + | 1.39159e9i | 1.40603 | + | 1.51534i | ||||
\(973\) | 7.87506e8 | − | 1.79743e8i | 0.854900 | − | 0.195125i | ||||
\(974\) | −3.78236e8 | + | 2.50943e9i | −0.409341 | + | 2.71580i | ||||
\(975\) | 2.14856e8 | − | 3.15135e8i | 0.231810 | − | 0.340003i | ||||
\(976\) | −4.57795e8 | − | 1.48414e9i | −0.492404 | − | 1.59634i | ||||
\(977\) | −1.07450e8 | + | 1.43382e9i | −0.115218 | + | 1.53748i | 0.577571 | + | 0.816340i | \(0.304001\pi\) |
−0.692789 | + | 0.721140i | \(0.743618\pi\) | |||||||
\(978\) | 1.47970e9 | − | 1.18002e9i | 1.58182 | − | 1.26146i | ||||
\(979\) | 3.14888e7 | − | 1.02084e8i | 0.0335589 | − | 0.108795i | ||||
\(980\) | −8.69734e9 | − | 3.41346e9i | −9.24077 | − | 3.62674i | ||||
\(981\) | −5.17789e7 | + | 2.26858e8i | −0.0548461 | + | 0.240297i | ||||
\(982\) | 5.01068e8 | + | 8.67876e8i | 0.529130 | + | 0.916481i | ||||
\(983\) | −1.34023e9 | − | 7.73784e8i | −1.41098 | − | 0.814628i | −0.415496 | − | 0.909595i | \(-0.636392\pi\) |
−0.995480 | + | 0.0949671i | \(0.969725\pi\) | |||||||
\(984\) | −1.68452e8 | − | 1.56301e8i | −0.176804 | − | 0.164050i | ||||
\(985\) | 4.22076e8 | + | 3.36595e8i | 0.441654 | + | 0.352208i | ||||
\(986\) | −2.10612e9 | + | 1.43593e9i | −2.19711 | + | 1.49797i | ||||
\(987\) | −1.14133e9 | + | 5.49634e8i | −1.18702 | + | 0.571639i | ||||
\(988\) | − | 1.75015e8i | − | 0.181469i | ||||||
\(989\) | −5.54423e8 | + | 5.76836e8i | −0.573129 | + | 0.596298i | ||||
\(990\) | −1.25752e9 | −1.29601 | ||||||||
\(991\) | −5.74966e8 | − | 1.19393e9i | −0.590774 | − | 1.22675i | −0.955321 | − | 0.295570i | \(-0.904491\pi\) |
0.364547 | − | 0.931185i | \(-0.381224\pi\) | |||||||
\(992\) | 7.29801e8 | + | 1.07042e9i | 0.747600 | + | 1.09653i | ||||
\(993\) | −1.51739e8 | + | 1.90274e8i | −0.154970 | + | 0.194327i | ||||
\(994\) | 5.32331e8 | − | 5.73717e8i | 0.542030 | − | 0.584169i | ||||
\(995\) | −5.42994e8 | + | 9.40492e8i | −0.551221 | + | 0.954742i | ||||
\(996\) | −1.65916e9 | + | 9.57917e8i | −1.67923 | + | 0.969505i | ||||
\(997\) | 5.03404e8 | + | 1.14899e8i | 0.507962 | + | 0.115939i | 0.468818 | − | 0.883295i | \(-0.344680\pi\) |
0.0391436 | + | 0.999234i | \(0.487537\pi\) | |||||||
\(998\) | 2.47804e8 | − | 6.31395e8i | 0.249297 | − | 0.635198i | ||||
\(999\) | 3.55151e8 | + | 1.09550e8i | 0.356219 | + | 0.109879i |
(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 | 43.7.h.a.12.20 | ✓ | 252 | |
43.18 | odd | 42 | inner | 43.7.h.a.18.20 | yes | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.h.a.12.20 | ✓ | 252 | 1.1 | even | 1 | trivial | |
43.7.h.a.18.20 | yes | 252 | 43.18 | odd | 42 | inner |