Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,6,Mod(4,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.e (of order \(7\), 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: | \(6.89650425196\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 43.11 |
Dual form | 43.6.e.a.4.13 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.11467 | + | 3.90567i | 0.550601 | + | 0.690432i | 0.976789 | − | 0.214202i | \(-0.0687152\pi\) |
−0.426188 | + | 0.904635i | \(0.640144\pi\) | |||||||
\(3\) | 2.22486 | − | 2.78989i | 0.142725 | − | 0.178971i | −0.705331 | − | 0.708878i | \(-0.749202\pi\) |
0.848056 | + | 0.529907i | \(0.177773\pi\) | |||||||
\(4\) | 1.56755 | − | 6.86790i | 0.0489861 | − | 0.214622i | ||||
\(5\) | −1.98003 | + | 0.953533i | −0.0354199 | + | 0.0170573i | −0.451510 | − | 0.892266i | \(-0.649114\pi\) |
0.416090 | + | 0.909323i | \(0.363400\pi\) | |||||||
\(6\) | 17.8261 | 0.202152 | ||||||||
\(7\) | 187.548 | 1.44667 | 0.723333 | − | 0.690499i | \(-0.242609\pi\) | ||||
0.723333 | + | 0.690499i | \(0.242609\pi\) | |||||||
\(8\) | 175.733 | − | 84.6285i | 0.970796 | − | 0.467511i | ||||
\(9\) | 51.2391 | + | 224.493i | 0.210861 | + | 0.923841i | ||||
\(10\) | −9.89133 | − | 4.76342i | −0.0312791 | − | 0.0150632i | ||||
\(11\) | −44.1621 | − | 193.487i | −0.110045 | − | 0.482137i | −0.999676 | − | 0.0254573i | \(-0.991896\pi\) |
0.889631 | − | 0.456679i | \(-0.150961\pi\) | |||||||
\(12\) | −15.6731 | − | 19.6534i | −0.0314196 | − | 0.0393990i | ||||
\(13\) | −21.4714 | + | 10.3401i | −0.0352373 | + | 0.0169694i | −0.451419 | − | 0.892312i | \(-0.649082\pi\) |
0.416182 | + | 0.909281i | \(0.363368\pi\) | |||||||
\(14\) | 584.152 | + | 732.503i | 0.796536 | + | 0.998825i | ||||
\(15\) | −1.74504 | + | 7.64554i | −0.00200253 | + | 0.00877364i | ||||
\(16\) | 674.781 | + | 324.957i | 0.658965 | + | 0.317341i | ||||
\(17\) | −2.74703 | − | 1.32290i | −0.00230538 | − | 0.00111021i | 0.432731 | − | 0.901523i | \(-0.357550\pi\) |
−0.435036 | + | 0.900413i | \(0.643264\pi\) | |||||||
\(18\) | −717.205 | + | 899.346i | −0.521749 | + | 0.654253i | ||||
\(19\) | −137.864 | + | 604.021i | −0.0876125 | + | 0.383856i | −0.999656 | − | 0.0262386i | \(-0.991647\pi\) |
0.912043 | + | 0.410094i | \(0.134504\pi\) | |||||||
\(20\) | 3.44496 | + | 15.0934i | 0.00192579 | + | 0.00843745i | ||||
\(21\) | 417.269 | − | 523.239i | 0.206475 | − | 0.258912i | ||||
\(22\) | 618.147 | − | 775.131i | 0.272292 | − | 0.341443i | ||||
\(23\) | −702.964 | − | 3079.89i | −0.277085 | − | 1.21399i | −0.901459 | − | 0.432864i | \(-0.857503\pi\) |
0.624374 | − | 0.781126i | \(-0.285354\pi\) | |||||||
\(24\) | 154.877 | − | 678.561i | 0.0548857 | − | 0.240470i | ||||
\(25\) | −1945.39 | + | 2439.45i | −0.622526 | + | 0.780623i | ||||
\(26\) | −107.261 | − | 51.6544i | −0.0311179 | − | 0.0149856i | ||||
\(27\) | 1521.56 | + | 732.744i | 0.401679 | + | 0.193439i | ||||
\(28\) | 293.992 | − | 1288.06i | 0.0708665 | − | 0.310486i | ||||
\(29\) | 1571.17 | + | 1970.18i | 0.346918 | + | 0.435022i | 0.924425 | − | 0.381364i | \(-0.124546\pi\) |
−0.577507 | + | 0.816386i | \(0.695974\pi\) | |||||||
\(30\) | −35.2962 | + | 16.9978i | −0.00716020 | + | 0.00344817i | ||||
\(31\) | −5170.79 | − | 6483.96i | −0.966390 | − | 1.21181i | −0.977297 | − | 0.211874i | \(-0.932043\pi\) |
0.0109069 | − | 0.999941i | \(-0.496528\pi\) | |||||||
\(32\) | −556.334 | − | 2437.46i | −0.0960420 | − | 0.420787i | ||||
\(33\) | −638.061 | − | 307.274i | −0.101995 | − | 0.0491180i | ||||
\(34\) | −3.38928 | − | 14.8494i | −0.000502818 | − | 0.00220299i | ||||
\(35\) | −371.352 | + | 178.834i | −0.0512407 | + | 0.0246762i | ||||
\(36\) | 1622.12 | 0.208606 | ||||||||
\(37\) | −13270.1 | −1.59357 | −0.796784 | − | 0.604264i | \(-0.793467\pi\) | ||||
−0.796784 | + | 0.604264i | \(0.793467\pi\) | |||||||
\(38\) | −2788.51 | + | 1342.88i | −0.313266 | + | 0.150861i | ||||
\(39\) | −18.9232 | + | 82.9080i | −0.00199220 | + | 0.00872841i | ||||
\(40\) | −267.260 | + | 335.134i | −0.0264110 | + | 0.0331183i | ||||
\(41\) | 4657.41 | + | 5840.21i | 0.432698 | + | 0.542586i | 0.949602 | − | 0.313457i | \(-0.101487\pi\) |
−0.516904 | + | 0.856043i | \(0.672916\pi\) | |||||||
\(42\) | 3343.26 | 0.292446 | ||||||||
\(43\) | −10356.0 | + | 6305.67i | −0.854125 | + | 0.520068i | ||||
\(44\) | −1398.08 | −0.108868 | ||||||||
\(45\) | −315.517 | − | 395.645i | −0.0232269 | − | 0.0291256i | ||||
\(46\) | 9839.53 | − | 12338.4i | 0.685614 | − | 0.859733i | ||||
\(47\) | −2292.13 | + | 10042.5i | −0.151354 | + | 0.663127i | 0.841138 | + | 0.540821i | \(0.181886\pi\) |
−0.992492 | + | 0.122306i | \(0.960971\pi\) | |||||||
\(48\) | 2407.89 | − | 1159.58i | 0.150846 | − | 0.0726434i | ||||
\(49\) | 18367.4 | 1.09284 | ||||||||
\(50\) | −15587.0 | −0.881731 | ||||||||
\(51\) | −9.80251 | + | 4.72064i | −0.000527730 | + | 0.000254141i | ||||
\(52\) | 37.3571 | + | 163.672i | 0.00191586 | + | 0.00839395i | ||||
\(53\) | 9153.28 | + | 4407.99i | 0.447597 | + | 0.215551i | 0.644084 | − | 0.764955i | \(-0.277239\pi\) |
−0.196487 | + | 0.980507i | \(0.562953\pi\) | |||||||
\(54\) | 1877.30 | + | 8224.97i | 0.0876090 | + | 0.383840i | ||||
\(55\) | 271.939 | + | 341.000i | 0.0121217 | + | 0.0152001i | ||||
\(56\) | 32958.4 | − | 15871.9i | 1.40442 | − | 0.676332i | ||||
\(57\) | 1378.42 | + | 1728.49i | 0.0561946 | + | 0.0704659i | ||||
\(58\) | −2801.22 | + | 12272.9i | −0.109339 | + | 0.479047i | ||||
\(59\) | 20956.0 | + | 10091.9i | 0.783751 | + | 0.377435i | 0.782568 | − | 0.622565i | \(-0.213909\pi\) |
0.00118266 | + | 0.999999i | \(0.499624\pi\) | |||||||
\(60\) | 49.7733 | + | 23.9696i | 0.00178492 | + | 0.000859572i | ||||
\(61\) | −3862.27 | + | 4843.14i | −0.132898 | + | 0.166649i | −0.843828 | − | 0.536614i | \(-0.819703\pi\) |
0.710930 | + | 0.703263i | \(0.248274\pi\) | |||||||
\(62\) | 9218.94 | − | 40390.8i | 0.304580 | − | 1.33445i | ||||
\(63\) | 9609.82 | + | 42103.4i | 0.305045 | + | 1.33649i | ||||
\(64\) | 22729.9 | − | 28502.4i | 0.693663 | − | 0.869825i | ||||
\(65\) | 32.6544 | − | 40.9474i | 0.000958648 | − | 0.00120211i | ||||
\(66\) | −787.239 | − | 3449.12i | −0.0222457 | − | 0.0974649i | ||||
\(67\) | 5781.44 | − | 25330.1i | 0.157344 | − | 0.689367i | −0.833292 | − | 0.552833i | \(-0.813547\pi\) |
0.990635 | − | 0.136534i | \(-0.0435962\pi\) | |||||||
\(68\) | −13.3917 | + | 16.7926i | −0.000351207 | + | 0.000440399i | ||||
\(69\) | −10156.5 | − | 4891.13i | −0.256816 | − | 0.123676i | ||||
\(70\) | −1855.10 | − | 893.371i | −0.0452505 | − | 0.0217915i | ||||
\(71\) | −11181.4 | + | 48988.9i | −0.263239 | + | 1.15333i | 0.654475 | + | 0.756084i | \(0.272890\pi\) |
−0.917714 | + | 0.397242i | \(0.869967\pi\) | |||||||
\(72\) | 28002.9 | + | 35114.5i | 0.636608 | + | 0.798281i | ||||
\(73\) | −63168.9 | + | 30420.6i | −1.38738 | + | 0.668128i | −0.970560 | − | 0.240859i | \(-0.922571\pi\) |
−0.416823 | + | 0.908988i | \(0.636857\pi\) | |||||||
\(74\) | −41332.1 | − | 51828.8i | −0.877421 | − | 1.10025i | ||||
\(75\) | 2477.55 | + | 10854.9i | 0.0508592 | + | 0.222829i | ||||
\(76\) | 3932.25 | + | 1893.67i | 0.0780920 | + | 0.0376071i | ||||
\(77\) | −8282.54 | − | 36288.2i | −0.159198 | − | 0.697491i | ||||
\(78\) | −382.751 | + | 184.323i | −0.00712329 | + | 0.00343039i | ||||
\(79\) | −56803.6 | −1.02402 | −0.512010 | − | 0.858980i | \(-0.671099\pi\) | ||||
−0.512010 | + | 0.858980i | \(0.671099\pi\) | |||||||
\(80\) | −1645.94 | −0.0287535 | ||||||||
\(81\) | −44984.0 | + | 21663.1i | −0.761808 | + | 0.366867i | ||||
\(82\) | −8303.65 | + | 36380.7i | −0.136375 | + | 0.597498i | ||||
\(83\) | 51038.4 | − | 64000.1i | 0.813208 | − | 1.01973i | −0.186100 | − | 0.982531i | \(-0.559585\pi\) |
0.999308 | − | 0.0372001i | \(-0.0118439\pi\) | |||||||
\(84\) | −2939.46 | − | 3685.97i | −0.0454537 | − | 0.0569972i | ||||
\(85\) | 6.70064 | 0.000100593 | ||||||||
\(86\) | −56883.5 | − | 20807.1i | −0.829354 | − | 0.303365i | ||||
\(87\) | 8992.20 | 0.127370 | ||||||||
\(88\) | −24135.2 | − | 30264.6i | −0.332235 | − | 0.416609i | ||||
\(89\) | 3671.01 | − | 4603.30i | 0.0491259 | − | 0.0616019i | −0.756662 | − | 0.653807i | \(-0.773171\pi\) |
0.805787 | + | 0.592205i | \(0.201742\pi\) | |||||||
\(90\) | 562.531 | − | 2464.61i | 0.00732050 | − | 0.0320732i | ||||
\(91\) | −4026.93 | + | 1939.27i | −0.0509766 | + | 0.0245490i | ||||
\(92\) | −22254.3 | −0.274122 | ||||||||
\(93\) | −29593.8 | −0.354808 | ||||||||
\(94\) | −46361.9 | + | 22326.7i | −0.541180 | + | 0.260619i | ||||
\(95\) | −302.979 | − | 1327.44i | −0.00344432 | − | 0.0150905i | ||||
\(96\) | −8038.00 | − | 3870.90i | −0.0890164 | − | 0.0428680i | ||||
\(97\) | −6478.58 | − | 28384.5i | −0.0699118 | − | 0.306303i | 0.927868 | − | 0.372910i | \(-0.121640\pi\) |
−0.997779 | + | 0.0666064i | \(0.978783\pi\) | |||||||
\(98\) | 57208.4 | + | 71737.1i | 0.601721 | + | 0.754534i | ||||
\(99\) | 41173.7 | − | 19828.2i | 0.422213 | − | 0.203327i | ||||
\(100\) | 13704.4 | + | 17184.7i | 0.137044 | + | 0.171847i | ||||
\(101\) | 37597.8 | − | 164727.i | 0.366740 | − | 1.60679i | −0.368932 | − | 0.929456i | \(-0.620276\pi\) |
0.735672 | − | 0.677338i | \(-0.236866\pi\) | |||||||
\(102\) | −48.9689 | − | 23.5822i | −0.000466036 | − | 0.000224431i | ||||
\(103\) | 108776. | + | 52383.9i | 1.01028 | + | 0.486525i | 0.864414 | − | 0.502780i | \(-0.167689\pi\) |
0.145864 | + | 0.989305i | \(0.453404\pi\) | |||||||
\(104\) | −2898.17 | + | 3634.19i | −0.0262748 | + | 0.0329476i | ||||
\(105\) | −327.280 | + | 1433.91i | −0.00289699 | + | 0.0126925i | ||||
\(106\) | 11293.3 | + | 49479.2i | 0.0976239 | + | 0.427718i | ||||
\(107\) | 42668.6 | − | 53504.7i | 0.360287 | − | 0.451786i | −0.568344 | − | 0.822791i | \(-0.692416\pi\) |
0.928631 | + | 0.371006i | \(0.120987\pi\) | |||||||
\(108\) | 7417.54 | − | 9301.30i | 0.0611928 | − | 0.0767334i | ||||
\(109\) | 8084.97 | + | 35422.6i | 0.0651797 | + | 0.285571i | 0.997005 | − | 0.0773360i | \(-0.0246414\pi\) |
−0.931825 | + | 0.362907i | \(0.881784\pi\) | |||||||
\(110\) | −484.836 | + | 2124.21i | −0.00382044 | + | 0.0167384i | ||||
\(111\) | −29524.2 | + | 37022.1i | −0.227442 | + | 0.285203i | ||||
\(112\) | 126554. | + | 60945.2i | 0.953303 | + | 0.459087i | ||||
\(113\) | −1405.65 | − | 676.924i | −0.0103557 | − | 0.00498705i | 0.428699 | − | 0.903448i | \(-0.358972\pi\) |
−0.439054 | + | 0.898460i | \(0.644686\pi\) | |||||||
\(114\) | −2457.57 | + | 10767.3i | −0.0177111 | + | 0.0775972i | ||||
\(115\) | 4328.66 | + | 5427.97i | 0.0305217 | + | 0.0382730i | ||||
\(116\) | 15993.9 | − | 7702.25i | 0.110359 | − | 0.0531462i | ||||
\(117\) | −3421.46 | − | 4290.37i | −0.0231071 | − | 0.0289754i | ||||
\(118\) | 25855.5 | + | 113280.i | 0.170941 | + | 0.748943i | ||||
\(119\) | −515.202 | − | 248.108i | −0.00333511 | − | 0.00160610i | ||||
\(120\) | 340.369 | + | 1491.25i | 0.00215773 | + | 0.00945361i | ||||
\(121\) | 109615. | − | 52787.8i | 0.680623 | − | 0.327771i | ||||
\(122\) | −30945.4 | −0.188233 | ||||||||
\(123\) | 26655.6 | 0.158864 | ||||||||
\(124\) | −52636.7 | + | 25348.5i | −0.307422 | + | 0.148046i | ||||
\(125\) | 3054.06 | − | 13380.7i | 0.0174824 | − | 0.0765956i | ||||
\(126\) | −134511. | + | 168671.i | −0.754797 | + | 0.946485i | ||||
\(127\) | −106332. | − | 133336.i | −0.584999 | − | 0.733565i | 0.397958 | − | 0.917404i | \(-0.369719\pi\) |
−0.982956 | + | 0.183838i | \(0.941148\pi\) | |||||||
\(128\) | 102113. | 0.550878 | ||||||||
\(129\) | −5448.57 | + | 42921.3i | −0.0288276 | + | 0.227090i | ||||
\(130\) | 261.635 | 0.00135781 | ||||||||
\(131\) | −59603.2 | − | 74740.0i | −0.303453 | − | 0.380518i | 0.606602 | − | 0.795006i | \(-0.292532\pi\) |
−0.910055 | + | 0.414488i | \(0.863961\pi\) | |||||||
\(132\) | −3110.52 | + | 3900.47i | −0.0155381 | + | 0.0194842i | ||||
\(133\) | −25856.1 | + | 113283.i | −0.126746 | + | 0.555311i | ||||
\(134\) | 116939. | − | 56314.7i | 0.562595 | − | 0.270931i | ||||
\(135\) | −3711.43 | −0.0175270 | ||||||||
\(136\) | −594.699 | −0.00275708 | ||||||||
\(137\) | 145464. | − | 70051.7i | 0.662146 | − | 0.318873i | −0.0724554 | − | 0.997372i | \(-0.523083\pi\) |
0.734601 | + | 0.678499i | \(0.237369\pi\) | |||||||
\(138\) | −12531.1 | − | 54902.4i | −0.0560134 | − | 0.245411i | ||||
\(139\) | 208503. | + | 100410.i | 0.915326 | + | 0.440798i | 0.831400 | − | 0.555674i | \(-0.187540\pi\) |
0.0839257 | + | 0.996472i | \(0.473254\pi\) | |||||||
\(140\) | 646.097 | + | 2830.74i | 0.00278598 | + | 0.0122062i | ||||
\(141\) | 22917.7 | + | 28737.9i | 0.0970787 | + | 0.121733i | ||||
\(142\) | −226161. | + | 108913.i | −0.941233 | + | 0.453274i | ||||
\(143\) | 2948.90 | + | 3697.80i | 0.0120592 | + | 0.0151218i | ||||
\(144\) | −38375.5 | + | 168134.i | −0.154223 | + | 0.675694i | ||||
\(145\) | −4989.59 | − | 2402.86i | −0.0197081 | − | 0.00949092i | ||||
\(146\) | −315563. | − | 151967.i | −1.22519 | − | 0.590022i | ||||
\(147\) | 40864.9 | − | 51243.0i | 0.155976 | − | 0.195587i | ||||
\(148\) | −20801.6 | + | 91137.9i | −0.0780626 | + | 0.342015i | ||||
\(149\) | −73882.5 | − | 323700.i | −0.272631 | − | 1.19448i | −0.906894 | − | 0.421359i | \(-0.861553\pi\) |
0.634263 | − | 0.773118i | \(-0.281304\pi\) | |||||||
\(150\) | −34678.8 | + | 43485.8i | −0.125845 | + | 0.157805i | ||||
\(151\) | −35262.7 | + | 44218.0i | −0.125856 | + | 0.157818i | −0.840767 | − | 0.541397i | \(-0.817896\pi\) |
0.714911 | + | 0.699215i | \(0.246467\pi\) | |||||||
\(152\) | 26890.2 | + | 117813.i | 0.0944027 | + | 0.413605i | ||||
\(153\) | 156.227 | − | 684.475i | 0.000539545 | − | 0.00236390i | ||||
\(154\) | 115932. | − | 145375.i | 0.393916 | − | 0.493955i | ||||
\(155\) | 16421.0 | + | 7907.93i | 0.0548997 | + | 0.0264383i | ||||
\(156\) | 539.741 | + | 259.926i | 0.00177572 | + | 0.000855141i | ||||
\(157\) | 39252.6 | − | 171977.i | 0.127092 | − | 0.556828i | −0.870782 | − | 0.491669i | \(-0.836387\pi\) |
0.997875 | − | 0.0651598i | \(-0.0207557\pi\) | |||||||
\(158\) | −176925. | − | 221856.i | −0.563826 | − | 0.707016i | ||||
\(159\) | 32662.6 | − | 15729.5i | 0.102461 | − | 0.0493425i | ||||
\(160\) | 3425.76 | + | 4295.76i | 0.0105793 | + | 0.0132660i | ||||
\(161\) | −131840. | − | 577628.i | −0.400850 | − | 1.75624i | ||||
\(162\) | −224720. | − | 108219.i | −0.672749 | − | 0.323979i | ||||
\(163\) | 110279. | + | 483165.i | 0.325106 | + | 1.42438i | 0.828337 | + | 0.560231i | \(0.189288\pi\) |
−0.503231 | + | 0.864152i | \(0.667855\pi\) | |||||||
\(164\) | 47410.7 | − | 22831.8i | 0.137647 | − | 0.0662874i | ||||
\(165\) | 1556.38 | 0.00445046 | ||||||||
\(166\) | 408932. | 1.15181 | ||||||||
\(167\) | 141820. | − | 68296.9i | 0.393501 | − | 0.189500i | −0.226661 | − | 0.973974i | \(-0.572781\pi\) |
0.620162 | + | 0.784474i | \(0.287067\pi\) | |||||||
\(168\) | 29047.0 | − | 127263.i | 0.0794013 | − | 0.347880i | ||||
\(169\) | −231143. | + | 289845.i | −0.622536 | + | 0.780636i | ||||
\(170\) | 20.8703 | + | 26.1705i | 5.53868e−5 | + | 6.94529e-5i | ||||
\(171\) | −142663. | −0.373095 | ||||||||
\(172\) | 27073.1 | + | 81008.5i | 0.0697778 | + | 0.208790i | ||||
\(173\) | −681559. | −1.73136 | −0.865681 | − | 0.500596i | \(-0.833114\pi\) | ||||
−0.865681 | + | 0.500596i | \(0.833114\pi\) | |||||||
\(174\) | 28007.8 | + | 35120.6i | 0.0701302 | + | 0.0879405i | ||||
\(175\) | −364856. | + | 457514.i | −0.900587 | + | 1.12930i | ||||
\(176\) | 33075.2 | − | 144912.i | 0.0804862 | − | 0.352633i | ||||
\(177\) | 74779.3 | − | 36011.8i | 0.179411 | − | 0.0863996i | ||||
\(178\) | 29413.0 | 0.0695808 | ||||||||
\(179\) | 515462. | 1.20244 | 0.601221 | − | 0.799082i | \(-0.294681\pi\) | ||||
0.601221 | + | 0.799082i | \(0.294681\pi\) | |||||||
\(180\) | −3211.84 | + | 1546.74i | −0.00738878 | + | 0.00355825i | ||||
\(181\) | −27532.7 | − | 120629.i | −0.0624673 | − | 0.273687i | 0.934043 | − | 0.357162i | \(-0.116255\pi\) |
−0.996510 | + | 0.0834744i | \(0.973398\pi\) | |||||||
\(182\) | −20116.7 | − | 9687.70i | −0.0450172 | − | 0.0216791i | ||||
\(183\) | 4918.78 | + | 21550.6i | 0.0108575 | + | 0.0475698i | ||||
\(184\) | −384180. | − | 481746.i | −0.836547 | − | 1.04900i | ||||
\(185\) | 26275.3 | − | 12653.5i | 0.0564440 | − | 0.0271820i | ||||
\(186\) | −92175.0 | − | 115584.i | −0.195358 | − | 0.244971i | ||||
\(187\) | −134.649 | + | 589.937i | −0.000281579 | + | 0.00123368i | ||||
\(188\) | 65377.8 | + | 31484.3i | 0.134907 | + | 0.0649679i | ||||
\(189\) | 285366. | + | 137425.i | 0.581096 | + | 0.279841i | ||||
\(190\) | 4240.86 | − | 5317.87i | 0.00852255 | − | 0.0106869i | ||||
\(191\) | −195061. | + | 854617.i | −0.386889 | + | 1.69507i | 0.288393 | + | 0.957512i | \(0.406879\pi\) |
−0.675282 | + | 0.737559i | \(0.735978\pi\) | |||||||
\(192\) | −28947.6 | − | 126828.i | −0.0566709 | − | 0.248291i | ||||
\(193\) | −397185. | + | 498054.i | −0.767538 | + | 0.962462i | −0.999948 | − | 0.0101559i | \(-0.996767\pi\) |
0.232411 | + | 0.972618i | \(0.425339\pi\) | |||||||
\(194\) | 90682.0 | − | 113712.i | 0.172988 | − | 0.216920i | ||||
\(195\) | −41.5870 | − | 182.204i | −7.83196e−5 | − | 0.000343141i | ||||
\(196\) | 28791.9 | − | 126146.i | 0.0535340 | − | 0.234548i | ||||
\(197\) | 217488. | − | 272721.i | 0.399272 | − | 0.500672i | −0.541034 | − | 0.841001i | \(-0.681967\pi\) |
0.940306 | + | 0.340329i | \(0.110538\pi\) | |||||||
\(198\) | 205685. | + | 99052.7i | 0.372855 | + | 0.179557i | ||||
\(199\) | 446801. | + | 215168.i | 0.799800 | + | 0.385163i | 0.788703 | − | 0.614775i | \(-0.210753\pi\) |
0.0110975 | + | 0.999938i | \(0.496467\pi\) | |||||||
\(200\) | −135423. | + | 593327.i | −0.239396 | + | 1.04886i | ||||
\(201\) | −57805.3 | − | 72485.6i | −0.100920 | − | 0.126550i | ||||
\(202\) | 760473. | − | 366225.i | 1.31131 | − | 0.631494i | ||||
\(203\) | 294670. | + | 369504.i | 0.501875 | + | 0.629331i | ||||
\(204\) | 17.0549 | + | 74.7225i | 2.86929e−5 | + | 0.000125712i | ||||
\(205\) | −14790.7 | − | 7122.80i | −0.0245812 | − | 0.0118377i | ||||
\(206\) | 134208. | + | 588004.i | 0.220349 | + | 0.965410i | ||||
\(207\) | 655395. | − | 315621.i | 1.06311 | − | 0.511965i | ||||
\(208\) | −17848.6 | −0.0286052 | ||||||||
\(209\) | 122959. | 0.194712 | ||||||||
\(210\) | −6619.75 | + | 3187.90i | −0.0103584 | + | 0.00498835i | ||||
\(211\) | 94517.2 | − | 414107.i | 0.146152 | − | 0.640334i | −0.847781 | − | 0.530346i | \(-0.822062\pi\) |
0.993933 | − | 0.109987i | \(-0.0350810\pi\) | |||||||
\(212\) | 44621.9 | − | 55954.1i | 0.0681880 | − | 0.0855051i | ||||
\(213\) | 111796. | + | 140188.i | 0.168841 | + | 0.211720i | ||||
\(214\) | 341871. | 0.510302 | ||||||||
\(215\) | 14492.6 | − | 22360.2i | 0.0213820 | − | 0.0329898i | ||||
\(216\) | 329399. | 0.480383 | ||||||||
\(217\) | −969773. | − | 1.21606e6i | −1.39804 | − | 1.75309i | ||||
\(218\) | −113167. | + | 141907.i | −0.161279 | + | 0.202238i | ||||
\(219\) | −55672.1 | + | 243916.i | −0.0784382 | + | 0.343660i | ||||
\(220\) | 2768.23 | − | 1333.11i | 0.00385608 | − | 0.00185699i | ||||
\(221\) | 72.6616 | 0.000100075 | ||||||||
\(222\) | −236555. | −0.322143 | ||||||||
\(223\) | 753109. | − | 362678.i | 1.01414 | − | 0.488382i | 0.148423 | − | 0.988924i | \(-0.452580\pi\) |
0.865712 | + | 0.500542i | \(0.166866\pi\) | |||||||
\(224\) | −104340. | − | 457142.i | −0.138941 | − | 0.608739i | ||||
\(225\) | −647320. | − | 311733.i | −0.852438 | − | 0.410512i | ||||
\(226\) | −1734.28 | − | 7598.39i | −0.00225865 | − | 0.00989579i | ||||
\(227\) | 611850. | + | 767236.i | 0.788098 | + | 0.988244i | 0.999940 | + | 0.0109400i | \(0.00348237\pi\) |
−0.211842 | + | 0.977304i | \(0.567946\pi\) | |||||||
\(228\) | 14031.8 | − | 6757.37i | 0.0178763 | − | 0.00860876i | ||||
\(229\) | −5920.38 | − | 7423.93i | −0.00746038 | − | 0.00935502i | 0.778087 | − | 0.628156i | \(-0.216190\pi\) |
−0.785548 | + | 0.618801i | \(0.787619\pi\) | |||||||
\(230\) | −7717.53 | + | 33812.7i | −0.00961964 | + | 0.0421464i | ||||
\(231\) | −119667. | − | 57628.8i | −0.147552 | − | 0.0710574i | ||||
\(232\) | 442839. | + | 213260.i | 0.540164 | + | 0.260129i | ||||
\(233\) | −170989. | + | 214413.i | −0.206337 | + | 0.258739i | −0.874222 | − | 0.485526i | \(-0.838628\pi\) |
0.667885 | + | 0.744264i | \(0.267200\pi\) | |||||||
\(234\) | 6100.08 | − | 26726.2i | 0.00728276 | − | 0.0319078i | ||||
\(235\) | −5037.35 | − | 22070.1i | −0.00595021 | − | 0.0260696i | ||||
\(236\) | 102160. | − | 128104.i | 0.119399 | − | 0.149721i | ||||
\(237\) | −126380. | + | 158476.i | −0.146153 | + | 0.183270i | ||||
\(238\) | −635.655 | − | 2784.99i | −0.000727410 | − | 0.00318699i | ||||
\(239\) | −86048.6 | + | 377003.i | −0.0974426 | + | 0.426924i | −0.999993 | − | 0.00365961i | \(-0.998835\pi\) |
0.902551 | + | 0.430584i | \(0.141692\pi\) | |||||||
\(240\) | −3661.99 | + | 4592.00i | −0.00410383 | + | 0.00514604i | ||||
\(241\) | −626819. | − | 301860.i | −0.695183 | − | 0.334783i | 0.0527024 | − | 0.998610i | \(-0.483217\pi\) |
−0.747886 | + | 0.663828i | \(0.768931\pi\) | |||||||
\(242\) | 547587. | + | 263704.i | 0.601056 | + | 0.289453i | ||||
\(243\) | −130963. | + | 573788.i | −0.142277 | + | 0.623355i | ||||
\(244\) | 27207.9 | + | 34117.6i | 0.0292563 | + | 0.0366863i | ||||
\(245\) | −36368.0 | + | 17513.9i | −0.0387083 | + | 0.0186410i | ||||
\(246\) | 83023.5 | + | 104108.i | 0.0874708 | + | 0.109685i | ||||
\(247\) | −3285.50 | − | 14394.7i | −0.00342656 | − | 0.0150128i | ||||
\(248\) | −1.45740e6 | − | 701849.i | −1.50470 | − | 0.724627i | ||||
\(249\) | −64999.8 | − | 284783.i | −0.0664375 | − | 0.291082i | ||||
\(250\) | 61773.1 | − | 29748.3i | 0.0625099 | − | 0.0301032i | ||||
\(251\) | −1.90525e6 | −1.90883 | −0.954414 | − | 0.298485i | \(-0.903519\pi\) | ||||
−0.954414 | + | 0.298485i | \(0.903519\pi\) | |||||||
\(252\) | 304226. | 0.301783 | ||||||||
\(253\) | −564874. | + | 272029.i | −0.554817 | + | 0.267186i | ||||
\(254\) | 189578. | − | 830597.i | 0.184376 | − | 0.807804i | ||||
\(255\) | 14.9080 | − | 18.6940i | 1.43572e−5 | − | 1.80033e-5i | ||||
\(256\) | −409310. | − | 513258.i | −0.390348 | − | 0.489481i | ||||
\(257\) | 1.43074e6 | 1.35123 | 0.675615 | − | 0.737254i | \(-0.263878\pi\) | ||||
0.675615 | + | 0.737254i | \(0.263878\pi\) | |||||||
\(258\) | −184607. | + | 112406.i | −0.172663 | + | 0.105133i | ||||
\(259\) | −2.48879e6 | −2.30536 | ||||||||
\(260\) | −230.035 | − | 288.455i | −0.000211038 | − | 0.000264633i | ||||
\(261\) | −361787. | + | 453666.i | −0.328739 | + | 0.412226i | ||||
\(262\) | 106266. | − | 465581.i | 0.0956403 | − | 0.419027i | ||||
\(263\) | −325429. | + | 156718.i | −0.290113 | + | 0.139711i | −0.573280 | − | 0.819360i | \(-0.694329\pi\) |
0.283167 | + | 0.959071i | \(0.408615\pi\) | |||||||
\(264\) | −138132. | −0.121979 | ||||||||
\(265\) | −22326.9 | −0.0195305 | ||||||||
\(266\) | −522980. | + | 251854.i | −0.453191 | + | 0.218245i | ||||
\(267\) | −4675.20 | − | 20483.4i | −0.00401349 | − | 0.0175842i | ||||
\(268\) | −164902. | − | 79412.7i | −0.140246 | − | 0.0675387i | ||||
\(269\) | 59143.5 | + | 259125.i | 0.0498341 | + | 0.218337i | 0.993714 | − | 0.111953i | \(-0.0357106\pi\) |
−0.943879 | + | 0.330290i | \(0.892853\pi\) | |||||||
\(270\) | −11559.9 | − | 14495.6i | −0.00965037 | − | 0.0121012i | ||||
\(271\) | −96921.5 | + | 46674.9i | −0.0801673 | + | 0.0386065i | −0.473538 | − | 0.880774i | \(-0.657023\pi\) |
0.393371 | + | 0.919380i | \(0.371309\pi\) | |||||||
\(272\) | −1423.76 | − | 1785.34i | −0.00116685 | − | 0.00146318i | ||||
\(273\) | −3549.02 | + | 15549.3i | −0.00288205 | + | 0.0126271i | ||||
\(274\) | 726671. | + | 349947.i | 0.584739 | + | 0.281595i | ||||
\(275\) | 557914. | + | 268677.i | 0.444873 | + | 0.214239i | ||||
\(276\) | −49512.7 | + | 62086.9i | −0.0391240 | + | 0.0490600i | ||||
\(277\) | 186322. | − | 816331.i | 0.145903 | − | 0.639244i | −0.848095 | − | 0.529845i | \(-0.822250\pi\) |
0.993998 | − | 0.109399i | \(-0.0348927\pi\) | |||||||
\(278\) | 257251. | + | 1.12709e6i | 0.199639 | + | 0.874674i | ||||
\(279\) | 1.19066e6 | − | 1.49304e6i | 0.915750 | − | 1.14831i | ||||
\(280\) | −50124.3 | + | 62853.8i | −0.0382079 | + | 0.0479112i | ||||
\(281\) | 159187. | + | 697442.i | 0.120265 | + | 0.526917i | 0.998788 | + | 0.0492167i | \(0.0156725\pi\) |
−0.878523 | + | 0.477701i | \(0.841470\pi\) | |||||||
\(282\) | −40859.8 | + | 179018.i | −0.0305966 | + | 0.134052i | ||||
\(283\) | 923485. | − | 1.15801e6i | 0.685431 | − | 0.859503i | −0.310411 | − | 0.950603i | \(-0.600467\pi\) |
0.995842 | + | 0.0910992i | \(0.0290380\pi\) | |||||||
\(284\) | 318924. | + | 153585.i | 0.234634 | + | 0.112994i | ||||
\(285\) | −4377.48 | − | 2108.09i | −0.00319236 | − | 0.00153736i | ||||
\(286\) | −5257.56 | + | 23034.9i | −0.00380075 | + | 0.0166522i | ||||
\(287\) | 873490. | + | 1.09532e6i | 0.625970 | + | 0.784941i | ||||
\(288\) | 518687. | − | 249787.i | 0.368489 | − | 0.177455i | ||||
\(289\) | −885261. | − | 1.11008e6i | −0.623486 | − | 0.781826i | ||||
\(290\) | −6156.14 | − | 26971.8i | −0.00429847 | − | 0.0188328i | ||||
\(291\) | −93603.4 | − | 45077.0i | −0.0647977 | − | 0.0312049i | ||||
\(292\) | 109905. | + | 481524.i | 0.0754326 | + | 0.330492i | ||||
\(293\) | 2.18682e6 | − | 1.05312e6i | 1.48814 | − | 0.716651i | 0.499412 | − | 0.866365i | \(-0.333550\pi\) |
0.988729 | + | 0.149714i | \(0.0478352\pi\) | |||||||
\(294\) | 327419. | 0.220920 | ||||||||
\(295\) | −51116.4 | −0.0341984 | ||||||||
\(296\) | −2.33200e6 | + | 1.12303e6i | −1.54703 | + | 0.745010i | ||||
\(297\) | 74581.2 | − | 326762.i | 0.0490612 | − | 0.214951i | ||||
\(298\) | 1.03415e6 | − | 1.29678e6i | 0.674594 | − | 0.845914i | ||||
\(299\) | 46939.9 | + | 58860.8i | 0.0303644 | + | 0.0380757i | ||||
\(300\) | 78433.8 | 0.0503153 | ||||||||
\(301\) | −1.94225e6 | + | 1.18262e6i | −1.23563 | + | 0.752365i | ||||
\(302\) | −282533. | −0.178259 | ||||||||
\(303\) | −375919. | − | 471387.i | −0.235227 | − | 0.294965i | ||||
\(304\) | −289309. | + | 362782.i | −0.179547 | + | 0.225145i | ||||
\(305\) | 3029.33 | − | 13272.4i | 0.00186465 | − | 0.00816956i | ||||
\(306\) | 3159.93 | − | 1521.74i | 0.00192919 | − | 0.000929047i | ||||
\(307\) | 2.03668e6 | 1.23332 | 0.616660 | − | 0.787229i | \(-0.288485\pi\) | ||||
0.616660 | + | 0.787229i | \(0.288485\pi\) | |||||||
\(308\) | −262207. | −0.157495 | ||||||||
\(309\) | 388157. | − | 186927.i | 0.231266 | − | 0.111372i | ||||
\(310\) | 20260.2 | + | 88765.6i | 0.0119740 | + | 0.0524615i | ||||
\(311\) | 2.61784e6 | + | 1.26069e6i | 1.53477 | + | 0.739104i | 0.994729 | − | 0.102538i | \(-0.0326962\pi\) |
0.540036 | + | 0.841642i | \(0.318410\pi\) | |||||||
\(312\) | 3690.95 | + | 16171.1i | 0.00214660 | + | 0.00940488i | ||||
\(313\) | 1.46160e6 | + | 1.83279e6i | 0.843273 | + | 1.05743i | 0.997588 | + | 0.0694089i | \(0.0221113\pi\) |
−0.154316 | + | 0.988022i | \(0.549317\pi\) | |||||||
\(314\) | 793946. | − | 382344.i | 0.454430 | − | 0.218842i | ||||
\(315\) | −59174.6 | − | 74202.7i | −0.0336015 | − | 0.0421350i | ||||
\(316\) | −89042.7 | + | 390121.i | −0.0501626 | + | 0.219777i | ||||
\(317\) | 913145. | + | 439748.i | 0.510378 | + | 0.245785i | 0.671305 | − | 0.741181i | \(-0.265734\pi\) |
−0.160927 | + | 0.986966i | \(0.551448\pi\) | |||||||
\(318\) | 163167. | + | 78577.2i | 0.0904826 | + | 0.0435741i | ||||
\(319\) | 311818. | − | 391007.i | 0.171563 | − | 0.215134i | ||||
\(320\) | −17828.0 | + | 78109.4i | −0.00973256 | + | 0.0426411i | ||||
\(321\) | −54340.4 | − | 238081.i | −0.0294348 | − | 0.128962i | ||||
\(322\) | 1.84539e6 | − | 2.31404e6i | 0.991855 | − | 1.24375i | ||||
\(323\) | 1177.78 | − | 1476.89i | 0.000628140 | − | 0.000787663i | ||||
\(324\) | 78265.5 | + | 342904.i | 0.0414198 | + | 0.181472i | ||||
\(325\) | 16546.3 | − | 72493.9i | 0.00868944 | − | 0.0380709i | ||||
\(326\) | −1.54360e6 | + | 1.93562e6i | −0.804436 | + | 1.00873i | ||||
\(327\) | 116813. | + | 56254.1i | 0.0604117 | + | 0.0290928i | ||||
\(328\) | 1.31271e6 | + | 632167.i | 0.673727 | + | 0.324450i | ||||
\(329\) | −429886. | + | 1.88345e6i | −0.218959 | + | 0.959323i | ||||
\(330\) | 4847.60 | + | 6078.70i | 0.00245043 | + | 0.00307274i | ||||
\(331\) | −2.59890e6 | + | 1.25157e6i | −1.30383 | + | 0.627890i | −0.951403 | − | 0.307950i | \(-0.900357\pi\) |
−0.352425 | + | 0.935840i | \(0.614643\pi\) | |||||||
\(332\) | −359541. | − | 450850.i | −0.179021 | − | 0.224485i | ||||
\(333\) | −679950. | − | 2.97905e6i | −0.336021 | − | 1.47220i | ||||
\(334\) | 708468. | + | 341180.i | 0.347499 | + | 0.167347i | ||||
\(335\) | 12705.7 | + | 55667.2i | 0.00618566 | + | 0.0271011i | ||||
\(336\) | 451595. | − | 217477.i | 0.218223 | − | 0.105091i | ||||
\(337\) | −1.96405e6 | −0.942058 | −0.471029 | − | 0.882118i | \(-0.656117\pi\) | ||||
−0.471029 | + | 0.882118i | \(0.656117\pi\) | |||||||
\(338\) | −1.85197e6 | −0.881745 | ||||||||
\(339\) | −5015.91 | + | 2415.53i | −0.00237056 | + | 0.00114160i | ||||
\(340\) | 10.5036 | − | 46.0193i | 4.92767e−6 | − | 2.15895e-5i | ||||
\(341\) | −1.02621e6 | + | 1.28683e6i | −0.477914 | + | 0.599286i | ||||
\(342\) | −444347. | − | 557194.i | −0.205427 | − | 0.257597i | ||||
\(343\) | 292651. | 0.134312 | ||||||||
\(344\) | −1.28625e6 | + | 1.98453e6i | −0.586043 | + | 0.904192i | ||||
\(345\) | 24774.1 | 0.0112060 | ||||||||
\(346\) | −2.12283e6 | − | 2.66195e6i | −0.953291 | − | 1.19539i | ||||
\(347\) | −490317. | + | 614838.i | −0.218601 | + | 0.274117i | −0.879025 | − | 0.476776i | \(-0.841805\pi\) |
0.660424 | + | 0.750893i | \(0.270377\pi\) | |||||||
\(348\) | 14095.8 | − | 61757.5i | 0.00623936 | − | 0.0273364i | ||||
\(349\) | 3.40838e6 | − | 1.64139e6i | 1.49790 | − | 0.721353i | 0.507772 | − | 0.861491i | \(-0.330469\pi\) |
0.990132 | + | 0.140139i | \(0.0447549\pi\) | |||||||
\(350\) | −2.92331e6 | −1.27557 | ||||||||
\(351\) | −40246.7 | −0.0174366 | ||||||||
\(352\) | −447048. | + | 215287.i | −0.192308 | + | 0.0926107i | ||||
\(353\) | −604152. | − | 2.64696e6i | −0.258053 | − | 1.13061i | −0.923330 | − | 0.384008i | \(-0.874543\pi\) |
0.665276 | − | 0.746597i | \(-0.268314\pi\) | |||||||
\(354\) | 373563. | + | 179899.i | 0.158437 | + | 0.0762992i | ||||
\(355\) | −24573.0 | − | 107661.i | −0.0103487 | − | 0.0453408i | ||||
\(356\) | −25860.5 | − | 32428.1i | −0.0108146 | − | 0.0135611i | ||||
\(357\) | −1838.45 | + | 885.348i | −0.000763449 | + | 0.000367658i | ||||
\(358\) | 1.60550e6 | + | 2.01323e6i | 0.662067 | + | 0.830205i | ||||
\(359\) | −157867. | + | 691659.i | −0.0646478 | + | 0.283241i | −0.996911 | − | 0.0785403i | \(-0.974974\pi\) |
0.932263 | + | 0.361781i | \(0.117831\pi\) | |||||||
\(360\) | −88929.5 | − | 42826.2i | −0.0361651 | − | 0.0174162i | ||||
\(361\) | 1.88505e6 | + | 907794.i | 0.761300 | + | 0.366623i | ||||
\(362\) | 385381. | − | 483253.i | 0.154568 | − | 0.193822i | ||||
\(363\) | 96606.1 | − | 423259.i | 0.0384802 | − | 0.168593i | ||||
\(364\) | 7006.27 | + | 30696.5i | 0.00277162 | + | 0.0121432i | ||||
\(365\) | 96069.4 | − | 120467.i | 0.0377444 | − | 0.0473300i | ||||
\(366\) | −68849.2 | + | 86334.2i | −0.0268656 | + | 0.0336884i | ||||
\(367\) | −273680. | − | 1.19907e6i | −0.106067 | − | 0.464708i | −0.999868 | − | 0.0162451i | \(-0.994829\pi\) |
0.893801 | − | 0.448463i | \(-0.148028\pi\) | |||||||
\(368\) | 526485. | − | 2.30668e6i | 0.202659 | − | 0.887908i | ||||
\(369\) | −1.07245e6 | + | 1.34481e6i | −0.410024 | + | 0.514154i | ||||
\(370\) | 131259. | + | 63211.1i | 0.0498455 | + | 0.0240043i | ||||
\(371\) | 1.71668e6 | + | 826711.i | 0.647523 | + | 0.311831i | ||||
\(372\) | −46389.9 | + | 203247.i | −0.0173806 | + | 0.0761495i | ||||
\(373\) | −2.64837e6 | − | 3.32095e6i | −0.985612 | − | 1.23592i | −0.971750 | − | 0.236014i | \(-0.924159\pi\) |
−0.0138620 | − | 0.999904i | \(-0.504413\pi\) | |||||||
\(374\) | −2723.49 | + | 1311.56i | −0.00100681 | + | 0.000484854i | ||||
\(375\) | −30535.8 | − | 38290.7i | −0.0112132 | − | 0.0140610i | ||||
\(376\) | 447077. | + | 1.95877e6i | 0.163085 | + | 0.714521i | ||||
\(377\) | −54107.0 | − | 26056.5i | −0.0196065 | − | 0.00944199i | ||||
\(378\) | 352084. | + | 1.54258e6i | 0.126741 | + | 0.555288i | ||||
\(379\) | 1.48492e6 | − | 715099.i | 0.531012 | − | 0.255722i | −0.149110 | − | 0.988821i | \(-0.547641\pi\) |
0.680122 | + | 0.733099i | \(0.261927\pi\) | |||||||
\(380\) | −9591.64 | −0.00340749 | ||||||||
\(381\) | −608567. | −0.214781 | ||||||||
\(382\) | −3.94541e6 | + | 1.90001e6i | −1.38335 | + | 0.666188i | ||||
\(383\) | 1.08157e6 | − | 4.73868e6i | 0.376755 | − | 1.65067i | −0.330569 | − | 0.943782i | \(-0.607241\pi\) |
0.707324 | − | 0.706890i | \(-0.249902\pi\) | |||||||
\(384\) | 227187. | − | 284883.i | 0.0786240 | − | 0.0985914i | ||||
\(385\) | 51001.6 | + | 63954.0i | 0.0175361 | + | 0.0219895i | ||||
\(386\) | −3.18234e6 | −1.08712 | ||||||||
\(387\) | −1.94621e6 | − | 2.00176e6i | −0.660561 | − | 0.679413i | ||||
\(388\) | −205097. | −0.0691641 | ||||||||
\(389\) | −1.99249e6 | − | 2.49851e6i | −0.667610 | − | 0.837157i | 0.326538 | − | 0.945184i | \(-0.394118\pi\) |
−0.994148 | + | 0.108027i | \(0.965547\pi\) | |||||||
\(390\) | 582.101 | − | 729.932i | 0.000193793 | − | 0.000243008i | ||||
\(391\) | −2143.32 | + | 9390.50i | −0.000708999 | + | 0.00310633i | ||||
\(392\) | 3.22776e6 | − | 1.55441e6i | 1.06093 | − | 0.510915i | ||||
\(393\) | −341125. | −0.111412 | ||||||||
\(394\) | 1.74256e6 | 0.565520 | ||||||||
\(395\) | 112473. | − | 54164.1i | 0.0362706 | − | 0.0174670i | ||||
\(396\) | −71636.2 | − | 313859.i | −0.0229559 | − | 0.100576i | ||||
\(397\) | 3.03588e6 | + | 1.46200e6i | 0.966736 | + | 0.465556i | 0.849523 | − | 0.527551i | \(-0.176890\pi\) |
0.117213 | + | 0.993107i | \(0.462604\pi\) | |||||||
\(398\) | 551262. | + | 2.41524e6i | 0.174442 | + | 0.764279i | ||||
\(399\) | 258521. | + | 324175.i | 0.0812949 | + | 0.101941i | ||||
\(400\) | −2.10543e6 | + | 1.01392e6i | −0.657947 | + | 0.316851i | ||||
\(401\) | −1.23433e6 | − | 1.54780e6i | −0.383328 | − | 0.480678i | 0.552310 | − | 0.833639i | \(-0.313746\pi\) |
−0.935638 | + | 0.352960i | \(0.885175\pi\) | |||||||
\(402\) | 103060. | − | 451538.i | 0.0318073 | − | 0.139357i | ||||
\(403\) | 178069. | + | 85753.4i | 0.0546167 | + | 0.0263020i | ||||
\(404\) | −1.07239e6 | − | 516435.i | −0.326888 | − | 0.157421i | ||||
\(405\) | 68413.1 | − | 85787.4i | 0.0207254 | − | 0.0259888i | ||||
\(406\) | −525363. | + | 2.30177e6i | −0.158178 | + | 0.693021i | ||||
\(407\) | 586037. | + | 2.56760e6i | 0.175363 | + | 0.768318i | ||||
\(408\) | −1323.12 | + | 1659.14i | −0.000393504 | + | 0.000493439i | ||||
\(409\) | −1.77478e6 | + | 2.22550e6i | −0.524609 | + | 0.657839i | −0.971580 | − | 0.236709i | \(-0.923931\pi\) |
0.446972 | + | 0.894548i | \(0.352502\pi\) | |||||||
\(410\) | −18248.7 | − | 79952.7i | −0.00536132 | − | 0.0234895i | ||||
\(411\) | 128200. | − | 561683.i | 0.0374356 | − | 0.164016i | ||||
\(412\) | 530280. | − | 664950.i | 0.153908 | − | 0.192995i | ||||
\(413\) | 3.93026e6 | + | 1.89271e6i | 1.13383 | + | 0.546022i | ||||
\(414\) | 3.27405e6 | + | 1.57670e6i | 0.938826 | + | 0.452115i | ||||
\(415\) | −40031.4 | + | 175389.i | −0.0114099 | + | 0.0499899i | ||||
\(416\) | 37148.8 | + | 46583.2i | 0.0105248 | + | 0.0131976i | ||||
\(417\) | 744022. | − | 358302.i | 0.209530 | − | 0.100904i | ||||
\(418\) | 382975. | + | 480236.i | 0.107209 | + | 0.134436i | ||||
\(419\) | −624417. | − | 2.73575e6i | −0.173756 | − | 0.761275i | −0.984430 | − | 0.175777i | \(-0.943756\pi\) |
0.810674 | − | 0.585498i | \(-0.199101\pi\) | |||||||
\(420\) | 9334.91 | + | 4495.46i | 0.00258218 | + | 0.00124351i | ||||
\(421\) | 383082. | + | 1.67839e6i | 0.105338 | + | 0.461517i | 0.999894 | + | 0.0145608i | \(0.00463503\pi\) |
−0.894556 | + | 0.446957i | \(0.852508\pi\) | |||||||
\(422\) | 1.91176e6 | − | 920654.i | 0.522579 | − | 0.251661i | ||||
\(423\) | −2.37192e6 | −0.644538 | ||||||||
\(424\) | 1.98157e6 | 0.535298 | ||||||||
\(425\) | 8571.21 | − | 4127.68i | 0.00230181 | − | 0.00110849i | ||||
\(426\) | −199321. | + | 873281.i | −0.0532143 | + | 0.233147i | ||||
\(427\) | −724363. | + | 908322.i | −0.192259 | + | 0.241085i | ||||
\(428\) | −300580. | − | 376915.i | −0.0793141 | − | 0.0994567i | ||||
\(429\) | 16877.3 | 0.00442752 | ||||||||
\(430\) | 132471. | − | 13041.5i | 0.0345502 | − | 0.00340139i | ||||
\(431\) | −4.31581e6 | −1.11910 | −0.559551 | − | 0.828796i | \(-0.689026\pi\) | ||||
−0.559551 | + | 0.828796i | \(0.689026\pi\) | |||||||
\(432\) | 788608. | + | 988883.i | 0.203307 | + | 0.254939i | ||||
\(433\) | −3.61085e6 | + | 4.52786e6i | −0.925528 | + | 1.16058i | 0.0611891 | + | 0.998126i | \(0.480511\pi\) |
−0.986717 | + | 0.162449i | \(0.948061\pi\) | |||||||
\(434\) | 1.72900e6 | − | 7.57524e6i | 0.440626 | − | 1.93051i | ||||
\(435\) | −17804.8 | + | 8574.35i | −0.00451144 | + | 0.00217259i | ||||
\(436\) | 255952. | 0.0644827 | ||||||||
\(437\) | 1.95723e6 | 0.490273 | ||||||||
\(438\) | −1.12606e6 | + | 542280.i | −0.280462 | + | 0.135064i | ||||
\(439\) | 639033. | + | 2.79979e6i | 0.158257 | + | 0.693368i | 0.990333 | + | 0.138707i | \(0.0442947\pi\) |
−0.832077 | + | 0.554660i | \(0.812848\pi\) | |||||||
\(440\) | 76646.8 | + | 36911.2i | 0.0188739 | + | 0.00908921i | ||||
\(441\) | 941130. | + | 4.12336e6i | 0.230437 | + | 1.00961i | ||||
\(442\) | 226.317 | + | 283.793i | 5.51013e−5 | + | 6.90948e-5i | ||||
\(443\) | −5.11866e6 | + | 2.46502e6i | −1.23922 | + | 0.596775i | −0.934600 | − | 0.355700i | \(-0.884242\pi\) |
−0.304616 | + | 0.952475i | \(0.598528\pi\) | |||||||
\(444\) | 207984. | + | 260803.i | 0.0500693 | + | 0.0627850i | ||||
\(445\) | −2879.31 | + | 12615.1i | −0.000689270 | + | 0.00301989i | ||||
\(446\) | 3.76219e6 | + | 1.81178e6i | 0.895579 | + | 0.431288i | ||||
\(447\) | −1.06747e6 | − | 514064.i | −0.252688 | − | 0.121688i | ||||
\(448\) | 4.26296e6 | − | 5.34559e6i | 1.00350 | − | 1.25835i | ||||
\(449\) | 1.48686e6 | − | 6.51437e6i | 0.348061 | − | 1.52495i | −0.433517 | − | 0.901145i | \(-0.642728\pi\) |
0.781578 | − | 0.623808i | \(-0.214415\pi\) | |||||||
\(450\) | −798662. | − | 3.49917e6i | −0.185922 | − | 0.814579i | ||||
\(451\) | 924324. | − | 1.15907e6i | 0.213985 | − | 0.268328i | ||||
\(452\) | −6852.47 | + | 8592.73i | −0.00157762 | + | 0.00197827i | ||||
\(453\) | 44908.6 | + | 196758.i | 0.0102822 | + | 0.0450491i | ||||
\(454\) | −1.09086e6 | + | 4.77937e6i | −0.248388 | + | 1.08826i | ||||
\(455\) | 6124.29 | − | 7679.62i | 0.00138684 | − | 0.00173905i | ||||
\(456\) | 388513. | + | 187098.i | 0.0874971 | + | 0.0421364i | ||||
\(457\) | 5.35358e6 | + | 2.57815e6i | 1.19910 | + | 0.577454i | 0.923418 | − | 0.383796i | \(-0.125383\pi\) |
0.275678 | + | 0.961250i | \(0.411098\pi\) | |||||||
\(458\) | 10555.4 | − | 46246.2i | 0.00235131 | − | 0.0103018i | ||||
\(459\) | −3210.43 | − | 4025.75i | −0.000711264 | − | 0.000891897i | ||||
\(460\) | 44064.2 | − | 21220.2i | 0.00970937 | − | 0.00467579i | ||||
\(461\) | 4.03925e6 | + | 5.06506e6i | 0.885215 | + | 1.11002i | 0.993263 | + | 0.115879i | \(0.0369685\pi\) |
−0.108048 | + | 0.994146i | \(0.534460\pi\) | |||||||
\(462\) | −147645. | − | 646877.i | −0.0321821 | − | 0.140999i | ||||
\(463\) | 1.35427e6 | + | 652184.i | 0.293599 | + | 0.141390i | 0.574885 | − | 0.818234i | \(-0.305047\pi\) |
−0.281286 | + | 0.959624i | \(0.590761\pi\) | |||||||
\(464\) | 419968. | + | 1.84000e6i | 0.0905569 | + | 0.396756i | ||||
\(465\) | 58596.6 | − | 28218.6i | 0.0125672 | − | 0.00605207i | ||||
\(466\) | −1.37000e6 | −0.292251 | ||||||||
\(467\) | 5.51111e6 | 1.16936 | 0.584678 | − | 0.811265i | \(-0.301221\pi\) | ||||
0.584678 | + | 0.811265i | \(0.301221\pi\) | |||||||
\(468\) | −34829.2 | + | 16772.8i | −0.00735069 | + | 0.00353991i | ||||
\(469\) | 1.08430e6 | − | 4.75063e6i | 0.227624 | − | 0.997284i | ||||
\(470\) | 70508.8 | − | 88415.2i | 0.0147231 | − | 0.0184622i | ||||
\(471\) | −392465. | − | 492135.i | −0.0815170 | − | 0.102219i | ||||
\(472\) | 4.53671e6 | 0.937317 | ||||||||
\(473\) | 1.67741e6 | + | 1.72528e6i | 0.344736 | + | 0.354574i | ||||
\(474\) | −1.01259e6 | −0.207008 | ||||||||
\(475\) | −1.20528e6 | − | 1.51137e6i | −0.245105 | − | 0.307353i | ||||
\(476\) | −2511.59 | + | 3149.43i | −0.000508079 | + | 0.000637111i | ||||
\(477\) | −520558. | + | 2.28071e6i | −0.104755 | + | 0.458960i | ||||
\(478\) | −1.74047e6 | + | 838164.i | −0.348414 | + | 0.167787i | ||||
\(479\) | −6.73273e6 | −1.34076 | −0.670382 | − | 0.742016i | \(-0.733870\pi\) | ||||
−0.670382 | + | 0.742016i | \(0.733870\pi\) | |||||||
\(480\) | 19606.5 | 0.00388416 | ||||||||
\(481\) | 284928. | − | 137214.i | 0.0561530 | − | 0.0270419i | ||||
\(482\) | −773367. | − | 3.38834e6i | −0.151624 | − | 0.664309i | ||||
\(483\) | −1.90484e6 | − | 917323.i | −0.371527 | − | 0.178918i | ||||
\(484\) | −190714. | − | 835573.i | −0.0370058 | − | 0.162133i | ||||
\(485\) | 39893.3 | + | 50024.6i | 0.00770098 | + | 0.00965672i | ||||
\(486\) | −2.64894e6 | + | 1.27566e6i | −0.508722 | + | 0.244988i | ||||
\(487\) | −4.97510e6 | − | 6.23858e6i | −0.950561 | − | 1.19197i | −0.981309 | − | 0.192438i | \(-0.938361\pi\) |
0.0307486 | − | 0.999527i | \(-0.490211\pi\) | |||||||
\(488\) | −268861. | + | 1.17796e6i | −0.0511067 | + | 0.223913i | ||||
\(489\) | 1.59333e6 | + | 767308.i | 0.301324 | + | 0.145110i | ||||
\(490\) | −181678. | − | 87491.6i | −0.0341832 | − | 0.0164618i | ||||
\(491\) | 1.68002e6 | − | 2.10668e6i | 0.314493 | − | 0.394362i | −0.599311 | − | 0.800516i | \(-0.704559\pi\) |
0.913805 | + | 0.406154i | \(0.133130\pi\) | |||||||
\(492\) | 41784.1 | − | 183068.i | 0.00778213 | − | 0.0340957i | ||||
\(493\) | −1709.69 | − | 7490.65i | −0.000316811 | − | 0.00138804i | ||||
\(494\) | 45987.8 | − | 57666.9i | 0.00847862 | − | 0.0106319i | ||||
\(495\) | −62618.3 | + | 78520.9i | −0.0114865 | + | 0.0144036i | ||||
\(496\) | −1.38214e6 | − | 6.05554e6i | −0.252259 | − | 1.10522i | ||||
\(497\) | −2.09705e6 | + | 9.18779e6i | −0.380819 | + | 1.66848i | ||||
\(498\) | 909815. | − | 1.14087e6i | 0.164392 | − | 0.206141i | ||||
\(499\) | −4.15937e6 | − | 2.00305e6i | −0.747784 | − | 0.360114i | 0.0208670 | − | 0.999782i | \(-0.493357\pi\) |
−0.768651 | + | 0.639669i | \(0.779072\pi\) | |||||||
\(500\) | −87109.9 | − | 41949.9i | −0.0155827 | − | 0.00750423i | ||||
\(501\) | 124989. | − | 547612.i | 0.0222473 | − | 0.0974718i | ||||
\(502\) | −5.93422e6 | − | 7.44128e6i | −1.05100 | − | 1.31792i | ||||
\(503\) | 7.66136e6 | − | 3.68951e6i | 1.35016 | − | 0.650203i | 0.387741 | − | 0.921768i | \(-0.373255\pi\) |
0.962420 | + | 0.271565i | \(0.0875411\pi\) | |||||||
\(504\) | 5.25190e6 | + | 6.58568e6i | 0.920959 | + | 1.15485i | ||||
\(505\) | 82627.4 | + | 362014.i | 0.0144177 | + | 0.0631680i | ||||
\(506\) | −2.82185e6 | − | 1.35893e6i | −0.489957 | − | 0.235951i | ||||
\(507\) | 294372. | + | 1.28973e6i | 0.0508600 | + | 0.222832i | ||||
\(508\) | −1.08242e6 | + | 521267.i | −0.186096 | + | 0.0896191i | ||||
\(509\) | −151970. | −0.0259994 | −0.0129997 | − | 0.999916i | \(-0.504138\pi\) | ||||
−0.0129997 | + | 0.999916i | \(0.504138\pi\) | |||||||
\(510\) | 119.446 | 2.03351e−5 | ||||||||
\(511\) | −1.18472e7 | + | 5.70533e6i | −2.00708 | + | 0.966559i | ||||
\(512\) | 1.45687e6 | − | 6.38295e6i | 0.245609 | − | 1.07608i | ||||
\(513\) | −652361. | + | 818035.i | −0.109445 | + | 0.137239i | ||||
\(514\) | 4.45630e6 | + | 5.58802e6i | 0.743989 | + | 0.932933i | ||||
\(515\) | −265330. | −0.0440827 | ||||||||
\(516\) | 286238. | + | 104702.i | 0.0473264 | + | 0.0173113i | ||||
\(517\) | 2.04432e6 | 0.336374 | ||||||||
\(518\) | −7.75177e6 | − | 9.72041e6i | −1.26934 | − | 1.59170i | ||||
\(519\) | −1.51637e6 | + | 1.90147e6i | −0.247108 | + | 0.309864i | ||||
\(520\) | 2273.14 | − | 9959.29i | 0.000368654 | − | 0.00161518i | ||||
\(521\) | −7.21053e6 | + | 3.47241e6i | −1.16379 | + | 0.560450i | −0.913147 | − | 0.407631i | \(-0.866355\pi\) |
−0.250639 | + | 0.968081i | \(0.580641\pi\) | |||||||
\(522\) | −2.89872e6 | −0.465618 | ||||||||
\(523\) | 5.01745e6 | 0.802100 | 0.401050 | − | 0.916056i | \(-0.368645\pi\) | ||||
0.401050 | + | 0.916056i | \(0.368645\pi\) | |||||||
\(524\) | −606738. | + | 292190.i | −0.0965324 | + | 0.0464876i | ||||
\(525\) | 464661. | + | 2.03581e6i | 0.0735762 | + | 0.322359i | ||||
\(526\) | −1.62570e6 | − | 782893.i | −0.256197 | − | 0.123378i | ||||
\(527\) | 5626.68 | + | 24652.1i | 0.000882523 | + | 0.00386658i | ||||
\(528\) | −330700. | − | 414685.i | −0.0516238 | − | 0.0647342i | ||||
\(529\) | −3.19260e6 | + | 1.53747e6i | −0.496027 | + | 0.238874i | ||||
\(530\) | −69541.1 | − | 87201.8i | −0.0107535 | − | 0.0134845i | ||||
\(531\) | −1.19179e6 | + | 5.22158e6i | −0.183427 | + | 0.803647i | ||||
\(532\) | 737486. | + | 355155.i | 0.112973 | + | 0.0544050i | ||||
\(533\) | −160390. | − | 77239.5i | −0.0244545 | − | 0.0117766i | ||||
\(534\) | 65439.8 | − | 82058.9i | 0.00993090 | − | 0.0124530i | ||||
\(535\) | −33466.6 | + | 146627.i | −0.00505507 | + | 0.0221477i | ||||
\(536\) | −1.12766e6 | − | 4.94061e6i | −0.169538 | − | 0.742794i | ||||
\(537\) | 1.14683e6 | − | 1.43808e6i | 0.171618 | − | 0.215203i | ||||
\(538\) | −827844. | + | 1.03808e6i | −0.123308 | + | 0.154624i | ||||
\(539\) | −811144. | − | 3.55385e6i | −0.120261 | − | 0.526899i | ||||
\(540\) | −5817.86 | + | 25489.7i | −0.000858577 | + | 0.00376167i | ||||
\(541\) | 1.15521e6 | − | 1.44859e6i | 0.169695 | − | 0.212791i | −0.689711 | − | 0.724085i | \(-0.742262\pi\) |
0.859406 | + | 0.511294i | \(0.170834\pi\) | |||||||
\(542\) | −484176. | − | 233167.i | −0.0707954 | − | 0.0340933i | ||||
\(543\) | −397797. | − | 191569.i | −0.0578978 | − | 0.0278821i | ||||
\(544\) | −1696.25 | + | 7431.76i | −0.000245750 | + | 0.00107670i | ||||
\(545\) | −49785.1 | − | 62428.5i | −0.00717973 | − | 0.00900309i | ||||
\(546\) | −71784.4 | + | 34569.6i | −0.0103050 | + | 0.00496263i | ||||
\(547\) | 2.79540e6 | + | 3.50533e6i | 0.399463 | + | 0.500910i | 0.940361 | − | 0.340177i | \(-0.110487\pi\) |
−0.540899 | + | 0.841088i | \(0.681916\pi\) | |||||||
\(548\) | −253086. | − | 1.10884e6i | −0.0360012 | − | 0.157731i | ||||
\(549\) | −1.28515e6 | − | 618896.i | −0.181980 | − | 0.0876369i | ||||
\(550\) | 688353. | + | 3.01587e6i | 0.0970297 | + | 0.425115i | ||||
\(551\) | −1.40664e6 | + | 677400.i | −0.197380 | + | 0.0950531i | ||||
\(552\) | −2.19876e6 | −0.307136 | ||||||||
\(553\) | −1.06534e7 | −1.48141 | ||||||||
\(554\) | 3.76866e6 | − | 1.81489e6i | 0.521689 | − | 0.251232i | ||||
\(555\) | 23156.9 | − | 101457.i | 0.00319116 | − | 0.0139814i | ||||
\(556\) | 1.01644e6 | − | 1.27458e6i | 0.139443 | − | 0.174856i | ||||
\(557\) | 7.06944e6 | + | 8.86480e6i | 0.965488 | + | 1.21068i | 0.977539 | + | 0.210756i | \(0.0675927\pi\) |
−0.0120505 | + | 0.999927i | \(0.503836\pi\) | |||||||
\(558\) | 9.53984e6 | 1.29705 | ||||||||
\(559\) | 157157. | − | 242474.i | 0.0212718 | − | 0.0328197i | ||||
\(560\) | −308694. | −0.0415966 | ||||||||
\(561\) | 1346.28 | + | 1688.18i | 0.000180605 | + | 0.000226471i | ||||
\(562\) | −2.22817e6 | + | 2.79404e6i | −0.297582 | + | 0.373157i | ||||
\(563\) | 3.09107e6 | − | 1.35429e7i | 0.410996 | − | 1.80069i | −0.168481 | − | 0.985705i | \(-0.553886\pi\) |
0.579477 | − | 0.814988i | \(-0.303257\pi\) | |||||||
\(564\) | 233294. | − | 112348.i | 0.0308820 | − | 0.0148720i | ||||
\(565\) | 3428.69 | 0.000451864 | ||||||||
\(566\) | 7.39918e6 | 0.970828 | ||||||||
\(567\) | −8.43667e6 | + | 4.06289e6i | −1.10208 | + | 0.530734i | ||||
\(568\) | 2.18092e6 | + | 9.55522e6i | 0.283641 | + | 1.24271i | ||||
\(569\) | 1.42456e6 | + | 686032.i | 0.184459 | + | 0.0888309i | 0.523834 | − | 0.851820i | \(-0.324501\pi\) |
−0.339375 | + | 0.940651i | \(0.610215\pi\) | |||||||
\(570\) | −5400.93 | − | 23663.0i | −0.000696276 | − | 0.00305058i | ||||
\(571\) | −67371.0 | − | 84480.5i | −0.00864734 | − | 0.0108434i | 0.777489 | − | 0.628897i | \(-0.216493\pi\) |
−0.786136 | + | 0.618053i | \(0.787922\pi\) | |||||||
\(572\) | 30018.7 | − | 14456.2i | 0.00383620 | − | 0.00184742i | ||||
\(573\) | 1.95030e6 | + | 2.44560e6i | 0.248150 | + | 0.311171i | ||||
\(574\) | −1.55734e6 | + | 6.82314e6i | −0.197289 | + | 0.864380i | ||||
\(575\) | 8.88076e6 | + | 4.27675e6i | 1.12016 | + | 0.539441i | ||||
\(576\) | 7.56327e6 | + | 3.64228e6i | 0.949846 | + | 0.457422i | ||||
\(577\) | 7.44050e6 | − | 9.33009e6i | 0.930384 | − | 1.16667i | −0.0553687 | − | 0.998466i | \(-0.517633\pi\) |
0.985753 | − | 0.168199i | \(-0.0537951\pi\) | |||||||
\(578\) | 1.57832e6 | − | 6.91508e6i | 0.196506 | − | 0.860949i | ||||
\(579\) | 505834. | + | 2.21620e6i | 0.0627063 | + | 0.274734i | ||||
\(580\) | −24324.0 | + | 30501.4i | −0.00300238 | + | 0.00376487i | ||||
\(581\) | 9.57217e6 | − | 1.20031e7i | 1.17644 | − | 1.47521i | ||||
\(582\) | −115488. | − | 505985.i | −0.0141328 | − | 0.0619199i | ||||
\(583\) | 448660. | − | 1.96571e6i | 0.0546696 | − | 0.239523i | ||||
\(584\) | −8.52641e6 | + | 1.06918e7i | −1.03451 | + | 1.29723i | ||||
\(585\) | 10865.6 | + | 5232.60i | 0.00131270 | + | 0.000632161i | ||||
\(586\) | 1.09244e7 | + | 5.26090e6i | 1.31417 | + | 0.632872i | ||||
\(587\) | 718442. | − | 3.14770e6i | 0.0860590 | − | 0.377049i | −0.913497 | − | 0.406845i | \(-0.866629\pi\) |
0.999556 | + | 0.0297964i | \(0.00948589\pi\) | |||||||
\(588\) | −287874. | − | 360982.i | −0.0343367 | − | 0.0430569i | ||||
\(589\) | 4.62931e6 | − | 2.22936e6i | 0.549830 | − | 0.264784i | ||||
\(590\) | −159211. | − | 199644.i | −0.0188297 | − | 0.0236117i | ||||
\(591\) | −276981. | − | 1.21353e6i | −0.0326198 | − | 0.142917i | ||||
\(592\) | −8.95442e6 | − | 4.31222e6i | −1.05011 | − | 0.505705i | ||||
\(593\) | 1.15836e6 | + | 5.07510e6i | 0.135271 | + | 0.592663i | 0.996437 | + | 0.0843387i | \(0.0268778\pi\) |
−0.861166 | + | 0.508324i | \(0.830265\pi\) | |||||||
\(594\) | 1.50852e6 | − | 726465.i | 0.175422 | − | 0.0844790i | ||||
\(595\) | 1256.69 | 0.000145525 | ||||||||
\(596\) | −2.33896e6 | −0.269716 | ||||||||
\(597\) | 1.59436e6 | − | 767805.i | 0.183085 | − | 0.0881689i | ||||
\(598\) | −83688.7 | + | 366664.i | −0.00957004 | + | 0.0419291i | ||||
\(599\) | 6.53801e6 | − | 8.19841e6i | 0.744524 | − | 0.933604i | −0.254919 | − | 0.966962i | \(-0.582049\pi\) |
0.999443 | + | 0.0333586i | \(0.0106203\pi\) | |||||||
\(600\) | 1.35402e6 | + | 1.69788e6i | 0.153549 | + | 0.192544i | ||||
\(601\) | −6.41619e6 | −0.724588 | −0.362294 | − | 0.932064i | \(-0.618006\pi\) | ||||
−0.362294 | + | 0.932064i | \(0.618006\pi\) | |||||||
\(602\) | −1.06684e7 | − | 3.90234e6i | −1.19980 | − | 0.438868i | ||||
\(603\) | 5.98268e6 | 0.670043 | ||||||||
\(604\) | 248409. | + | 311495.i | 0.0277060 | + | 0.0347423i | ||||
\(605\) | −166706. | + | 209043.i | −0.0185167 | + | 0.0232192i | ||||
\(606\) | 670221. | − | 2.93643e6i | 0.0741373 | − | 0.324817i | ||||
\(607\) | 6.99678e6 | − | 3.36947e6i | 0.770773 | − | 0.371185i | −0.00680051 | − | 0.999977i | \(-0.502165\pi\) |
0.777573 | + | 0.628792i | \(0.216450\pi\) | |||||||
\(608\) | 1.54898e6 | 0.169936 | ||||||||
\(609\) | 1.68647e6 | 0.184262 | ||||||||
\(610\) | 61272.9 | − | 29507.5i | 0.00666720 | − | 0.00321076i | ||||
\(611\) | −54624.9 | − | 239327.i | −0.00591953 | − | 0.0259352i | ||||
\(612\) | −4456.01 | − | 2145.90i | −0.000480914 | − | 0.000231596i | ||||
\(613\) | 571890. | + | 2.50561e6i | 0.0614697 | + | 0.269316i | 0.996318 | − | 0.0857299i | \(-0.0273222\pi\) |
−0.934849 | + | 0.355046i | \(0.884465\pi\) | |||||||
\(614\) | 6.34358e6 | + | 7.95460e6i | 0.679068 | + | 0.851525i | ||||
\(615\) | −52778.9 | + | 25417.0i | −0.00562695 | + | 0.00270980i | ||||
\(616\) | −4.52653e6 | − | 5.67608e6i | −0.480633 | − | 0.602694i | ||||
\(617\) | −3.59397e6 | + | 1.57462e7i | −0.380068 | + | 1.66519i | 0.317187 | + | 0.948363i | \(0.397262\pi\) |
−0.697255 | + | 0.716823i | \(0.745596\pi\) | |||||||
\(618\) | 1.93906e6 | + | 933801.i | 0.204230 | + | 0.0983519i | ||||
\(619\) | −4.06903e6 | − | 1.95954e6i | −0.426839 | − | 0.205555i | 0.208116 | − | 0.978104i | \(-0.433267\pi\) |
−0.634955 | + | 0.772550i | \(0.718981\pi\) | |||||||
\(620\) | 80051.7 | − | 100382.i | 0.00836356 | − | 0.0104876i | ||||
\(621\) | 1.18717e6 | − | 5.20132e6i | 0.123533 | − | 0.541234i | ||||
\(622\) | 3.22988e6 | + | 1.41511e7i | 0.334743 | + | 1.46660i | ||||
\(623\) | 688492. | − | 863342.i | 0.0710688 | − | 0.0891174i | ||||
\(624\) | −39710.6 | + | 49795.5i | −0.00408268 | + | 0.00511951i | ||||
\(625\) | −2.16299e6 | − | 9.47666e6i | −0.221490 | − | 0.970410i | ||||
\(626\) | −2.60587e6 | + | 1.14171e7i | −0.265777 | + | 1.16445i | ||||
\(627\) | 273565. | − | 343040.i | 0.0277903 | − | 0.0348479i | ||||
\(628\) | −1.11959e6 | − | 539166.i | −0.113282 | − | 0.0545536i | ||||
\(629\) | 36453.5 | + | 17555.1i | 0.00367377 | + | 0.00176920i | ||||
\(630\) | 105502. | − | 462234.i | 0.0105903 | − | 0.0463992i | ||||
\(631\) | −8.17316e6 | − | 1.02488e7i | −0.817178 | − | 1.02471i | −0.999143 | − | 0.0414035i | \(-0.986817\pi\) |
0.181965 | − | 0.983305i | \(-0.441754\pi\) | |||||||
\(632\) | −9.98225e6 | + | 4.80720e6i | −0.994113 | + | 0.478740i | ||||
\(633\) | −945024. | − | 1.18502e6i | −0.0937418 | − | 0.117549i | ||||
\(634\) | 1.12664e6 | + | 4.93612e6i | 0.111317 | + | 0.487711i | ||||
\(635\) | 337681. | + | 162619.i | 0.0332332 | + | 0.0160043i | ||||
\(636\) | −56828.0 | − | 248980.i | −0.00557083 | − | 0.0244074i | ||||
\(637\) | −394374. | + | 189921.i | −0.0385088 | + | 0.0185449i | ||||
\(638\) | 2.49836e6 | 0.242998 | ||||||||
\(639\) | −1.15706e7 | −1.12100 | ||||||||
\(640\) | −202187. | + | 97368.0i | −0.0195120 | + | 0.00939650i | ||||
\(641\) | 1.20664e6 | − | 5.28661e6i | 0.115993 | − | 0.508198i | −0.883236 | − | 0.468929i | \(-0.844640\pi\) |
0.999229 | − | 0.0392687i | \(-0.0125028\pi\) | |||||||
\(642\) | 760614. | − | 953780.i | 0.0728328 | − | 0.0913294i | ||||
\(643\) | 8.02394e6 | + | 1.00617e7i | 0.765350 | + | 0.959719i | 0.999923 | − | 0.0123795i | \(-0.00394061\pi\) |
−0.234573 | + | 0.972099i | \(0.575369\pi\) | |||||||
\(644\) | −4.17376e6 | −0.396563 | ||||||||
\(645\) | −30138.5 | − | 90180.9i | −0.00285248 | − | 0.00853523i | ||||
\(646\) | 9436.62 | 0.000889683 | ||||||||
\(647\) | −2.27897e6 | − | 2.85774e6i | −0.214032 | − | 0.268388i | 0.663213 | − | 0.748431i | \(-0.269192\pi\) |
−0.877245 | + | 0.480043i | \(0.840621\pi\) | |||||||
\(648\) | −6.07184e6 | + | 7.61385e6i | −0.568045 | + | 0.712306i | ||||
\(649\) | 1.02718e6 | − | 4.50039e6i | 0.0957275 | − | 0.419410i | ||||
\(650\) | 334674. | − | 161170.i | 0.0310698 | − | 0.0149624i | ||||
\(651\) | −5.55027e6 | −0.513289 | ||||||||
\(652\) | 3.49120e6 | 0.321629 | ||||||||
\(653\) | −9.11221e6 | + | 4.38821e6i | −0.836259 | + | 0.402721i | −0.802459 | − | 0.596707i | \(-0.796475\pi\) |
−0.0338004 | + | 0.999429i | \(0.510761\pi\) | |||||||
\(654\) | 144124. | + | 631446.i | 0.0131762 | + | 0.0577287i | ||||
\(655\) | 189283. | + | 91154.0i | 0.0172389 | + | 0.00830180i | ||||
\(656\) | 1.24491e6 | + | 5.45432e6i | 0.112948 | + | 0.494859i | ||||
\(657\) | −1.00659e7 | − | 1.26223e7i | −0.909789 | − | 1.14084i | ||||
\(658\) | −8.69511e6 | + | 4.18734e6i | −0.782907 | + | 0.377028i | ||||
\(659\) | −695997. | − | 872752.i | −0.0624300 | − | 0.0782848i | 0.749636 | − | 0.661850i | \(-0.230229\pi\) |
−0.812066 | + | 0.583566i | \(0.801657\pi\) | |||||||
\(660\) | 2439.70 | − | 10689.0i | 0.000218010 | − | 0.000955166i | ||||
\(661\) | 1.00367e7 | + | 4.83344e6i | 0.893488 | + | 0.430281i | 0.823533 | − | 0.567269i | \(-0.192000\pi\) |
0.0699556 | + | 0.997550i | \(0.477714\pi\) | |||||||
\(662\) | −1.29829e7 | − | 6.25226e6i | −1.15141 | − | 0.554487i | ||||
\(663\) | 161.662 | − | 202.718i | 1.42831e−5 | − | 1.79105e-5i | ||||
\(664\) | 3.55289e6 | − | 1.55662e7i | 0.312724 | − | 1.37013i | ||||
\(665\) | −56823.2 | − | 248959.i | −0.00498278 | − | 0.0218310i | ||||
\(666\) | 9.51740e6 | − | 1.19344e7i | 0.831443 | − | 1.04260i | ||||
\(667\) | 4.96346e6 | − | 6.22398e6i | 0.431986 | − | 0.541693i | ||||
\(668\) | −246746. | − | 1.08106e6i | −0.0213948 | − | 0.0937368i | ||||
\(669\) | 663732. | − | 2.90800e6i | 0.0573360 | − | 0.251205i | ||||
\(670\) | −177844. | + | 223009.i | −0.0153057 | + | 0.0191927i | ||||
\(671\) | 1.10765e6 | + | 533416.i | 0.0949721 | + | 0.0457362i | ||||
\(672\) | −1.50751e6 | − | 725981.i | −0.128777 | − | 0.0620157i | ||||
\(673\) | −1.77007e6 | + | 7.75520e6i | −0.150645 | + | 0.660017i | 0.842054 | + | 0.539394i | \(0.181347\pi\) |
−0.992698 | + | 0.120624i | \(0.961511\pi\) | |||||||
\(674\) | −6.11737e6 | − | 7.67093e6i | −0.518698 | − | 0.650427i | ||||
\(675\) | −4.74752e6 | + | 2.28629e6i | −0.401059 | + | 0.193140i | ||||
\(676\) | 1.62829e6 | + | 2.04182e6i | 0.137046 | + | 0.171850i | ||||
\(677\) | 2.15775e6 | + | 9.45374e6i | 0.180938 | + | 0.792742i | 0.981185 | + | 0.193071i | \(0.0618448\pi\) |
−0.800247 | + | 0.599671i | \(0.795298\pi\) | |||||||
\(678\) | −25057.2 | − | 12066.9i | −0.00209343 | − | 0.00100814i | ||||
\(679\) | −1.21505e6 | − | 5.32347e6i | −0.101139 | − | 0.443119i | ||||
\(680\) | 1177.52 | − | 567.065i | 9.76555e−5 | − | 4.70284e-5i | ||||
\(681\) | 3.50178e6 | 0.289348 | ||||||||
\(682\) | −8.22223e6 | −0.676906 | ||||||||
\(683\) | −1.97069e7 | + | 9.49033e6i | −1.61646 | + | 0.778448i | −0.999960 | − | 0.00890505i | \(-0.997165\pi\) |
−0.616503 | + | 0.787353i | \(0.711451\pi\) | |||||||
\(684\) | −223631. | + | 979793.i | −0.0182765 | + | 0.0800745i | ||||
\(685\) | −221226. | + | 277409.i | −0.0180140 | + | 0.0225889i | ||||
\(686\) | 911513. | + | 1.14300e6i | 0.0739525 | + | 0.0927334i | ||||
\(687\) | −33883.9 | −0.00273906 | ||||||||
\(688\) | −9.03711e6 | + | 889684.i | −0.727878 | + | 0.0716580i | ||||
\(689\) | −242113. | −0.0194299 | ||||||||
\(690\) | 77163.2 | + | 96759.5i | 0.00617003 | + | 0.00773697i | ||||
\(691\) | 2.39677e6 | − | 3.00545e6i | 0.190955 | − | 0.239450i | −0.677133 | − | 0.735861i | \(-0.736778\pi\) |
0.868088 | + | 0.496411i | \(0.165349\pi\) | |||||||
\(692\) | −1.06838e6 | + | 4.68088e6i | −0.0848126 | + | 0.371588i | ||||
\(693\) | 7.72206e6 | − | 3.71875e6i | 0.610802 | − | 0.294147i | ||||
\(694\) | −3.92853e6 | −0.309622 | ||||||||
\(695\) | −508587. | −0.0399395 | ||||||||
\(696\) | 1.58022e6 | − | 760996.i | 0.123650 | − | 0.0595469i | ||||
\(697\) | −5068.05 | − | 22204.6i | −0.000395147 | − | 0.00173125i | ||||
\(698\) | 1.70267e7 | + | 8.19963e6i | 1.32279 | + | 0.637024i | ||||
\(699\) | 217762. | + | 954078.i | 0.0168573 | + | 0.0738569i | ||||
\(700\) | 2.57023e6 | + | 3.22297e6i | 0.198257 | + | 0.248606i | ||||
\(701\) | 1.44377e7 | − | 6.95281e6i | 1.10969 | − | 0.534399i | 0.212998 | − | 0.977053i | \(-0.431677\pi\) |
0.896692 | + | 0.442654i | \(0.145963\pi\) | |||||||
\(702\) | −125355. | − | 157190.i | −0.00960062 | − | 0.0120388i | ||||
\(703\) | 1.82947e6 | − | 8.01543e6i | 0.139617 | − | 0.611700i | ||||
\(704\) | −6.51865e6 | − | 3.13922e6i | −0.495708 | − | 0.238721i | ||||
\(705\) | −72780.3 | − | 35049.2i | −0.00551495 | − | 0.00265586i | ||||
\(706\) | 8.45644e6 | − | 1.06040e7i | 0.638522 | − | 0.800681i | ||||
\(707\) | 7.05140e6 | − | 3.08942e7i | 0.530551 | − | 2.32449i | ||||
\(708\) | −130105. | − | 570027.i | −0.00975463 | − | 0.0427378i | ||||
\(709\) | 9.79630e6 | − | 1.22842e7i | 0.731891 | − | 0.917763i | −0.267054 | − | 0.963682i | \(-0.586050\pi\) |
0.998945 | + | 0.0459190i | \(0.0146216\pi\) | |||||||
\(710\) | 343953. | − | 431304.i | 0.0256067 | − | 0.0321098i | ||||
\(711\) | −2.91057e6 | − | 1.27520e7i | −0.215925 | − | 0.946030i | ||||
\(712\) | 255547. | − | 1.11962e6i | 0.0188917 | − | 0.0827698i | ||||
\(713\) | −1.63350e7 | + | 2.04834e7i | −1.20336 | + | 1.50896i | ||||
\(714\) | −9184.04 | − | 4422.80i | −0.000674199 | − | 0.000324677i | ||||
\(715\) | −9364.88 | − | 4509.89i | −0.000685073 | − | 0.000329914i | ||||
\(716\) | 808015. | − | 3.54015e6i | 0.0589029 | − | 0.258071i | ||||
\(717\) | 860351. | + | 1.07885e6i | 0.0624997 | + | 0.0783721i | ||||
\(718\) | −3.19310e6 | + | 1.53771e6i | −0.231154 | + | 0.111318i | ||||
\(719\) | 1.55273e7 | + | 1.94706e7i | 1.12014 | + | 1.40462i | 0.903617 | + | 0.428340i | \(0.140902\pi\) |
0.216527 | + | 0.976277i | \(0.430527\pi\) | |||||||
\(720\) | −84336.7 | − | 369503.i | −0.00606297 | − | 0.0265636i | ||||
\(721\) | 2.04008e7 | + | 9.82452e6i | 1.46154 | + | 0.703839i | ||||
\(722\) | 2.32578e6 | + | 1.01899e7i | 0.166045 | + | 0.727489i | ||||
\(723\) | −2.23674e6 | + | 1.07716e6i | −0.159136 | + | 0.0766360i | ||||
\(724\) | −871626. | −0.0617993 | ||||||||
\(725\) | −7.86269e6 | −0.555554 | ||||||||
\(726\) | 1.95401e6 | − | 941001.i | 0.137589 | − | 0.0662595i | ||||
\(727\) | −3.35396e6 | + | 1.46947e7i | −0.235354 | + | 1.03115i | 0.709767 | + | 0.704436i | \(0.248800\pi\) |
−0.945122 | + | 0.326719i | \(0.894057\pi\) | |||||||
\(728\) | −543546. | + | 681586.i | −0.0380109 | + | 0.0476642i | ||||
\(729\) | −6.25513e6 | − | 7.84369e6i | −0.435931 | − | 0.546640i | ||||
\(730\) | 769731. | 0.0534603 | ||||||||
\(731\) | 36790.1 | − | 3621.91i | 0.00254646 | − | 0.000250694i | ||||
\(732\) | 155718. | 0.0107414 | ||||||||
\(733\) | 1.31096e6 | + | 1.64389e6i | 0.0901218 | + | 0.113009i | 0.824848 | − | 0.565355i | \(-0.191261\pi\) |
−0.734726 | + | 0.678364i | \(0.762689\pi\) | |||||||
\(734\) | 3.83076e6 | − | 4.80362e6i | 0.262449 | − | 0.329101i | ||||
\(735\) | −32051.9 | + | 140429.i | −0.00218845 | + | 0.00958821i | ||||
\(736\) | −7.11602e6 | + | 3.42689e6i | −0.484220 | + | 0.233188i | ||||
\(737\) | −5.15637e6 | −0.349684 | ||||||||
\(738\) | −8.59269e6 | −0.580749 | ||||||||
\(739\) | −2.00601e7 | + | 9.66043e6i | −1.35121 | + | 0.650707i | −0.962658 | − | 0.270722i | \(-0.912738\pi\) |
−0.388548 | + | 0.921428i | \(0.627023\pi\) | |||||||
\(740\) | −45715.1 | − | 200291.i | −0.00306888 | − | 0.0134457i | ||||
\(741\) | −47469.4 | − | 22860.0i | −0.00317591 | − | 0.00152944i | ||||
\(742\) | 2.11804e6 | + | 9.27974e6i | 0.141229 | + | 0.618765i | ||||
\(743\) | 1.45938e7 | + | 1.83000e7i | 0.969830 | + | 1.21613i | 0.976360 | + | 0.216149i | \(0.0693498\pi\) |
−0.00653067 | + | 0.999979i | \(0.502079\pi\) | |||||||
\(744\) | −5.20060e6 | + | 2.50448e6i | −0.344446 | + | 0.165876i | ||||
\(745\) | 454949. | + | 570487.i | 0.0300311 | + | 0.0376578i | ||||
\(746\) | 4.72174e6 | − | 2.06873e7i | 0.310639 | − | 1.36100i | ||||
\(747\) | 1.69828e7 | + | 8.17847e6i | 1.11354 | + | 0.536254i | ||||
\(748\) | 3840.56 | + | 1849.52i | 0.000250981 | + | 0.000120866i | ||||
\(749\) | 8.00242e6 | − | 1.00347e7i | 0.521215 | − | 0.653583i | ||||
\(750\) | 54441.9 | − | 238526.i | 0.00353411 | − | 0.0154840i | ||||
\(751\) | −1.67118e6 | − | 7.32191e6i | −0.108124 | − | 0.473723i | −0.999779 | − | 0.0210077i | \(-0.993313\pi\) |
0.891655 | − | 0.452715i | \(-0.149545\pi\) | |||||||
\(752\) | −4.81007e6 | + | 6.03163e6i | −0.310175 | + | 0.388947i | ||||
\(753\) | −4.23891e6 | + | 5.31542e6i | −0.272437 | + | 0.341626i | ||||
\(754\) | −66757.1 | − | 292482.i | −0.00427631 | − | 0.0187357i | ||||
\(755\) | 27657.9 | − | 121177.i | 0.00176584 | − | 0.00773665i | ||||
\(756\) | 1.39115e6 | − | 1.74444e6i | 0.0885256 | − | 0.111008i | ||||
\(757\) | 1.86942e7 | + | 9.00263e6i | 1.18568 | + | 0.570992i | 0.919560 | − | 0.392949i | \(-0.128545\pi\) |
0.266116 | + | 0.963941i | \(0.414260\pi\) | |||||||
\(758\) | 7.41797e6 | + | 3.57231e6i | 0.468935 | + | 0.225827i | ||||
\(759\) | −497835. | + | 2.18116e6i | −0.0313676 | + | 0.137430i | ||||
\(760\) | −165582. | − | 207634.i | −0.0103987 | − | 0.0130396i | ||||
\(761\) | −505655. | + | 243510.i | −0.0316514 | + | 0.0152425i | −0.449642 | − | 0.893209i | \(-0.648449\pi\) |
0.417991 | + | 0.908451i | \(0.362734\pi\) | |||||||
\(762\) | −1.89549e6 | − | 2.37686e6i | −0.118259 | − | 0.148292i | ||||
\(763\) | 1.51632e6 | + | 6.64345e6i | 0.0942932 | + | 0.413126i | ||||
\(764\) | 5.56366e6 | + | 2.67932e6i | 0.344847 | + | 0.166070i | ||||
\(765\) | 343.335 | + | 1504.25i | 2.12112e−5 | + | 9.29322e-5i | ||||
\(766\) | 2.18765e7 | − | 1.05352e7i | 1.34712 | − | 0.648738i | ||||
\(767\) | −554305. | −0.0340221 | ||||||||
\(768\) | −2.34259e6 | −0.143315 | ||||||||
\(769\) | −2.91700e7 | + | 1.40475e7i | −1.77877 | + | 0.856611i | −0.820035 | + | 0.572314i | \(0.806046\pi\) |
−0.958736 | + | 0.284297i | \(0.908240\pi\) | |||||||
\(770\) | −90930.3 | + | 398392.i | −0.00552690 | + | 0.0242149i | ||||
\(771\) | 3.18321e6 | − | 3.99162e6i | 0.192854 | − | 0.241831i | ||||
\(772\) | 2.79798e6 | + | 3.50856e6i | 0.168967 | + | 0.211878i | ||||
\(773\) | −1.69091e7 | −1.01782 | −0.508909 | − | 0.860820i | \(-0.669951\pi\) | ||||
−0.508909 | + | 0.860820i | \(0.669951\pi\) | |||||||
\(774\) | 1.75640e6 | − | 1.38361e7i | 0.105383 | − | 0.830159i | ||||
\(775\) | 2.58765e7 | 1.54757 | ||||||||
\(776\) | −3.54063e6 | − | 4.43982e6i | −0.211070 | − | 0.264674i | ||||
\(777\) | −5.53721e6 | + | 6.94344e6i | −0.329032 | + | 0.412593i | ||||
\(778\) | 3.55240e6 | − | 1.55641e7i | 0.210413 | − | 0.921879i | ||||
\(779\) | −4.16970e6 | + | 2.00802e6i | −0.246185 | + | 0.118556i | ||||
\(780\) | −1316.55 | −7.74821e−5 | ||||||||
\(781\) | 9.97251e6 | 0.585028 | ||||||||
\(782\) | −43352.0 | + | 20877.2i | −0.00253508 | + | 0.00122083i | ||||
\(783\) | 946984. | + | 4.14901e6i | 0.0551999 | + | 0.241847i | ||||
\(784\) | 1.23940e7 | + | 5.96862e6i | 0.720145 | + | 0.346804i | ||||
\(785\) | 86264.3 | + | 377948.i | 0.00499640 | + | 0.0218906i | ||||
\(786\) | −1.06249e6 | − | 1.33232e6i | −0.0613436 | − | 0.0769225i | ||||
\(787\) | −3.04648e7 | + | 1.46711e7i | −1.75332 | + | 0.844356i | −0.776558 | + | 0.630046i | \(0.783036\pi\) |
−0.976766 | + | 0.214310i | \(0.931250\pi\) | |||||||
\(788\) | −1.53210e6 | − | 1.92119e6i | −0.0878963 | − | 0.110219i | ||||
\(789\) | −286808. | + | 1.25659e6i | −0.0164020 | + | 0.0718621i | ||||
\(790\) | 561863. | + | 270579.i | 0.0320304 | + | 0.0154250i | ||||
\(791\) | −263627. | − | 126956.i | −0.0149813 | − | 0.00721459i | ||||
\(792\) | 5.55754e6 | − | 6.96893e6i | 0.314825 | − | 0.394778i | ||||
\(793\) | 32850.0 | − | 143925.i | 0.00185504 | − | 0.00812744i | ||||
\(794\) | 3.74566e6 | + | 1.64108e7i | 0.210852 | + | 0.923801i | ||||
\(795\) | −49674.3 | + | 62289.6i | −0.00278749 | + | 0.00349541i | ||||
\(796\) | 2.17814e6 | − | 2.73130e6i | 0.121844 | − | 0.152787i | ||||
\(797\) | −2.35257e6 | − | 1.03073e7i | −0.131189 | − | 0.574777i | −0.997202 | − | 0.0747551i | \(-0.976183\pi\) |
0.866013 | − | 0.500022i | \(-0.166675\pi\) | |||||||
\(798\) | −460914. | + | 2.01940e6i | −0.0256220 | + | 0.112257i | ||||
\(799\) | 19581.8 | − | 24554.8i | 0.00108514 | − | 0.00136072i | ||||
\(800\) | 7.02835e6 | + | 3.38467e6i | 0.388265 | + | 0.186979i | ||||
\(801\) | 1.22151e6 | + | 588248.i | 0.0672691 | + | 0.0323951i | ||||
\(802\) | 2.20068e6 | − | 9.64179e6i | 0.120815 | − | 0.529324i | ||||
\(803\) | 8.67566e6 | + | 1.08789e7i | 0.474803 | + | 0.595384i | ||||
\(804\) | −588437. | + | 283376.i | −0.0321040 | + | 0.0154605i | ||||
\(805\) | 811834. | + | 1.01801e6i | 0.0441547 | + | 0.0553683i | ||||
\(806\) | 219701. | + | 962573.i | 0.0119123 | + | 0.0521910i | ||||
\(807\) | 854514. | + | 411512.i | 0.0461887 | + | 0.0222433i | ||||
\(808\) | −7.33339e6 | − | 3.21297e7i | −0.395163 | − | 1.73132i | ||||
\(809\) | −3.30404e7 | + | 1.59114e7i | −1.77490 | + | 0.854748i | −0.812573 | + | 0.582859i | \(0.801934\pi\) |
−0.962329 | + | 0.271888i | \(0.912352\pi\) | |||||||
\(810\) | 548142. | 0.0293549 | ||||||||
\(811\) | 1.55842e7 | 0.832020 | 0.416010 | − | 0.909360i | \(-0.363428\pi\) | ||||
0.416010 | + | 0.909360i | \(0.363428\pi\) | |||||||
\(812\) | 2.99963e6 | − | 1.44454e6i | 0.159653 | − | 0.0768849i | ||||
\(813\) | −85419.0 | + | 374245.i | −0.00453240 | + | 0.0198577i | ||||
\(814\) | −8.20288e6 | + | 1.02861e7i | −0.433916 | + | 0.544113i | ||||
\(815\) | −679070. | − | 851527.i | −0.0358114 | − | 0.0449060i | ||||
\(816\) | −8148.55 | −0.000428405 | ||||||||
\(817\) | −2.38104e6 | − | 7.12457e6i | −0.124799 | − | 0.373425i | ||||
\(818\) | −1.42199e7 | −0.743043 | ||||||||
\(819\) | −641689. | − | 804652.i | −0.0334283 | − | 0.0419178i | ||||
\(820\) | −72103.8 | + | 90415.4i | −0.00374476 | + | 0.00469578i | ||||
\(821\) | 6.80396e6 | − | 2.98101e7i | 0.352293 | − | 1.54350i | −0.419580 | − | 0.907718i | \(-0.637823\pi\) |
0.771873 | − | 0.635777i | \(-0.219320\pi\) | |||||||
\(822\) | 2.59305e6 | − | 1.24875e6i | 0.133854 | − | 0.0644608i | ||||
\(823\) | 1.02048e6 | 0.0525178 | 0.0262589 | − | 0.999655i | \(-0.491641\pi\) | ||||
0.0262589 | + | 0.999655i | \(0.491641\pi\) | |||||||
\(824\) | 2.35487e7 | 1.20823 | ||||||||
\(825\) | 1.99086e6 | − | 958748.i | 0.101837 | − | 0.0490421i | ||||
\(826\) | 4.84915e6 | + | 2.12455e7i | 0.247295 | + | 1.08347i | ||||
\(827\) | −1.23577e6 | − | 595114.i | −0.0628308 | − | 0.0302577i | 0.402204 | − | 0.915550i | \(-0.368244\pi\) |
−0.465035 | + | 0.885292i | \(0.653958\pi\) | |||||||
\(828\) | −1.14029e6 | − | 4.99594e6i | −0.0578016 | − | 0.253245i | ||||
\(829\) | −1.87495e7 | − | 2.35111e7i | −0.947551 | − | 1.18819i | −0.982018 | − | 0.188785i | \(-0.939545\pi\) |
0.0344677 | − | 0.999406i | \(-0.489026\pi\) | |||||||
\(830\) | −809697. | + | 389930.i | −0.0407969 | + | 0.0196468i | ||||
\(831\) | −1.86293e6 | − | 2.33604e6i | −0.0935823 | − | 0.117349i | ||||
\(832\) | −193326. | + | 847017.i | −0.00968238 | + | 0.0424213i | ||||
\(833\) | −50455.9 | − | 24298.3i | −0.00251941 | − | 0.00121329i | ||||
\(834\) | 3.71680e6 | + | 1.78992e6i | 0.185035 | + | 0.0891081i | ||||
\(835\) | −215684. | + | 270460.i | −0.0107054 | + | 0.0134241i | ||||
\(836\) | 192744. | − | 844467.i | 0.00953818 | − | 0.0417895i | ||||
\(837\) | −3.11657e6 | − | 1.36546e7i | −0.153767 | − | 0.673698i | ||||
\(838\) | 8.74010e6 | − | 1.09597e7i | 0.429939 | − | 0.539126i | ||||
\(839\) | −1.68309e7 | + | 2.11053e7i | −0.825472 | + | 1.03511i | 0.173266 | + | 0.984875i | \(0.444568\pi\) |
−0.998737 | + | 0.0502337i | \(0.984003\pi\) | |||||||
\(840\) | 63835.6 | + | 279682.i | 0.00312151 | + | 0.0136762i | ||||
\(841\) | 3.15111e6 | − | 1.38059e7i | 0.153629 | − | 0.673094i | ||||
\(842\) | −5.36208e6 | + | 6.72383e6i | −0.260647 | + | 0.326841i | ||||
\(843\) | 2.29995e6 | + | 1.10760e6i | 0.111468 | + | 0.0536801i | ||||
\(844\) | −2.69589e6 | − | 1.29827e6i | −0.130270 | − | 0.0627348i | ||||
\(845\) | 181295. | − | 794304.i | 0.00873460 | − | 0.0382688i | ||||
\(846\) | −7.38775e6 | − | 9.26394e6i | −0.354884 | − | 0.445010i | ||||
\(847\) | 2.05581e7 | − | 9.90027e6i | 0.984634 | − | 0.474175i | ||||
\(848\) | 4.74405e6 | + | 5.94885e6i | 0.226548 | + | 0.284082i | ||||
\(849\) | −1.17610e6 | − | 5.15284e6i | −0.0559984 | − | 0.245345i | ||||
\(850\) | 42817.9 | + | 20620.0i | 0.00203272 | + | 0.000978907i | ||||
\(851\) | 9.32842e6 | + | 4.08705e7i | 0.441554 | + | 1.93458i | ||||
\(852\) | 1.13805e6 | − | 548054.i | 0.0537107 | − | 0.0258657i | ||||
\(853\) | −1.96554e7 | −0.924929 | −0.462464 | − | 0.886638i | \(-0.653035\pi\) | ||||
−0.462464 | + | 0.886638i | \(0.653035\pi\) | |||||||
\(854\) | −5.80376e6 | −0.272311 | ||||||||
\(855\) | 282476. | − | 136033.i | 0.0132150 | − | 0.00636400i | ||||
\(856\) | 2.97025e6 | − | 1.30135e7i | 0.138551 | − | 0.607030i | ||||
\(857\) | −5.60453e6 | + | 7.02785e6i | −0.260667 | + | 0.326867i | −0.894892 | − | 0.446282i | \(-0.852748\pi\) |
0.634225 | + | 0.773149i | \(0.281319\pi\) | |||||||
\(858\) | 52567.3 | + | 65917.3i | 0.00243780 | + | 0.00305690i | ||||
\(859\) | 2.72249e6 | 0.125888 | 0.0629440 | − | 0.998017i | \(-0.479951\pi\) | ||||
0.0629440 | + | 0.998017i | \(0.479951\pi\) | |||||||
\(860\) | −130850. | − | 134584.i | −0.00603292 | − | 0.00620509i | ||||
\(861\) | 4.99922e6 | 0.229823 | ||||||||
\(862\) | −1.34423e7 | − | 1.68562e7i | −0.616179 | − | 0.772664i | ||||
\(863\) | 7.96265e6 | − | 9.98484e6i | 0.363940 | − | 0.456367i | −0.565822 | − | 0.824528i | \(-0.691441\pi\) |
0.929762 | + | 0.368161i | \(0.120012\pi\) | |||||||
\(864\) | 939540. | − | 4.11639e6i | 0.0428184 | − | 0.187600i | ||||
\(865\) | 1.34951e6 | − | 649888.i | 0.0613246 | − | 0.0295324i | ||||
\(866\) | −2.89310e7 | −1.31090 | ||||||||
\(867\) | −5.06658e6 | −0.228911 | ||||||||
\(868\) | −9.87193e6 | + | 4.75407e6i | −0.444736 | + | 0.214174i | ||||
\(869\) | 2.50857e6 | + | 1.09908e7i | 0.112688 | + | 0.493717i | ||||
\(870\) | −88944.9 | − | 42833.6i | −0.00398403 | − | 0.00191861i | ||||
\(871\) | 137780. | + | 603655.i | 0.00615377 | + | 0.0269614i | ||||
\(872\) | 4.41855e6 | + | 5.54069e6i | 0.196784 | + | 0.246759i | ||||
\(873\) | 6.04017e6 | − | 2.90879e6i | 0.268234 | − | 0.129175i | ||||
\(874\) | 6.09613e6 | + | 7.64430e6i | 0.269945 | + | 0.338500i | ||||
\(875\) | 572784. | − | 2.50953e6i | 0.0252913 | − | 0.110808i | ||||
\(876\) | 1.58792e6 | + | 764702.i | 0.0699146 | + | 0.0336691i | ||||
\(877\) | −2.74967e7 | − | 1.32417e7i | −1.20721 | − | 0.581360i | −0.281484 | − | 0.959566i | \(-0.590827\pi\) |
−0.925721 | + | 0.378206i | \(0.876541\pi\) | |||||||
\(878\) | −8.94468e6 | + | 1.12163e7i | −0.391587 | + | 0.491035i | ||||
\(879\) | 1.92729e6 | − | 8.44402e6i | 0.0841347 | − | 0.368618i | ||||
\(880\) | 72688.4 | + | 318469.i | 0.00316416 | + | 0.0138631i | ||||
\(881\) | −1.51405e7 | + | 1.89855e7i | −0.657203 | + | 0.824106i | −0.993035 | − | 0.117816i | \(-0.962411\pi\) |
0.335833 | + | 0.941922i | \(0.390982\pi\) | |||||||
\(882\) | −1.31732e7 | + | 1.65187e7i | −0.570190 | + | 0.714995i | ||||
\(883\) | 790462. | + | 3.46324e6i | 0.0341176 | + | 0.149479i | 0.989118 | − | 0.147127i | \(-0.0470024\pi\) |
−0.955000 | + | 0.296606i | \(0.904145\pi\) | |||||||
\(884\) | 113.901 | − | 499.033i | 4.90226e−6 | − | 2.14782e-5i | ||||
\(885\) | −113727. | + | 142609.i | −0.00488096 | + | 0.00612053i | ||||
\(886\) | −2.55705e7 | − | 1.23141e7i | −1.09435 | − | 0.527010i | ||||
\(887\) | −1.22836e7 | − | 5.91547e6i | −0.524223 | − | 0.252453i | 0.153005 | − | 0.988225i | \(-0.451105\pi\) |
−0.677229 | + | 0.735773i | \(0.736819\pi\) | |||||||
\(888\) | −2.05524e6 | + | 9.00459e6i | −0.0874641 | + | 0.383205i | ||||
\(889\) | −1.99424e7 | − | 2.50070e7i | −0.846298 | − | 1.06122i | ||||
\(890\) | −58238.6 | + | 28046.2i | −0.00246454 | + | 0.00118686i | ||||
\(891\) | 6.17812e6 | + | 7.74712e6i | 0.260713 | + | 0.326924i | ||||
\(892\) | −1.31030e6 | − | 5.74080e6i | −0.0551390 | − | 0.241580i | ||||
\(893\) | −5.74987e6 | − | 2.76899e6i | −0.241284 | − | 0.116196i | ||||
\(894\) | −1.31704e6 | − | 5.77032e6i | −0.0551130 | − | 0.241466i | ||||
\(895\) | −1.02063e6 | + | 491510.i | −0.0425904 | + | 0.0205104i | ||||
\(896\) | 1.91511e7 | 0.796937 | ||||||||
\(897\) | 268650. | 0.0111482 | ||||||||
\(898\) | 3.00741e7 | − | 1.44829e7i | 1.24452 | − | 0.599329i | ||||
\(899\) | 4.65041e6 | − | 2.03748e7i | 0.191907 | − | 0.840801i | ||||
\(900\) | −3.15566e6 | + | 3.95707e6i | −0.129862 | + | 0.162842i | ||||
\(901\) | −19313.0 | − | 24217.8i | −0.000792572 | − | 0.000993854i | ||||
\(902\) | 7.40590e6 | 0.303083 | ||||||||
\(903\) | −1.02187e6 | + | 8.04983e6i | −0.0417039 | + | 0.328524i | ||||
\(904\) | −304305. | −0.0123848 | ||||||||
\(905\) | 169539. | + | 212595.i | 0.00688095 | + | 0.00862844i | ||||
\(906\) | −628596. | + | 788234.i | −0.0254420 | + | 0.0319032i | ||||
\(907\) | −1.00291e7 | + | 4.39402e7i | −0.404802 | + | 1.77355i | 0.202706 | + | 0.979240i | \(0.435026\pi\) |
−0.607508 | + | 0.794314i | \(0.707831\pi\) | |||||||
\(908\) | 6.22841e6 | − | 2.99944e6i | 0.250705 | − | 0.120733i | ||||
\(909\) | 3.89065e7 | 1.56175 | ||||||||
\(910\) | 49069.2 | 0.00196429 | ||||||||
\(911\) | 4.49946e6 | − | 2.16682e6i | 0.179624 | − | 0.0865023i | −0.341911 | − | 0.939732i | \(-0.611074\pi\) |
0.521535 | + | 0.853230i | \(0.325360\pi\) | |||||||
\(912\) | 368448. | + | 1.61428e6i | 0.0146686 | + | 0.0642674i | ||||
\(913\) | −1.46372e7 | − | 7.04888e6i | −0.581139 | − | 0.279862i | ||||
\(914\) | 6.60524e6 | + | 2.89394e7i | 0.261531 | + | 1.14584i | ||||
\(915\) | −30288.5 | − | 37980.6i | −0.00119598 | − | 0.00149972i | ||||
\(916\) | −60267.3 | + | 29023.2i | −0.00237325 | + | 0.00114290i | ||||
\(917\) | −1.11785e7 | − | 1.40174e7i | −0.438995 | − | 0.550482i | ||||
\(918\) | 5723.84 | − | 25077.8i | 0.000224172 | − | 0.000982160i | ||||
\(919\) | −9.11732e6 | − | 4.39067e6i | −0.356105 | − | 0.171491i | 0.247274 | − | 0.968946i | \(-0.420465\pi\) |
−0.603379 | + | 0.797454i | \(0.706179\pi\) | |||||||
\(920\) | 1.22005e6 | + | 587545.i | 0.0475234 | + | 0.0228861i | ||||
\(921\) | 4.53132e6 | − | 5.68209e6i | 0.176026 | − | 0.220729i | ||||
\(922\) | −7.20154e6 | + | 3.15520e7i | −0.278996 | + | 1.22236i | ||||
\(923\) | −266469. | − | 1.16748e6i | −0.0102954 | − | 0.0451070i | ||||
\(924\) | −583374. | + | 731527.i | −0.0224785 | + | 0.0281871i | ||||
\(925\) | 2.58156e7 | − | 3.23718e7i | 0.992038 | − | 1.24398i | ||||
\(926\) | 1.67090e6 | + | 7.32069e6i | 0.0640358 | + | 0.280559i | ||||
\(927\) | −6.18623e6 | + | 2.71037e7i | −0.236443 | + | 1.03593i | ||||
\(928\) | 3.92814e6 | − | 4.92573e6i | 0.149733 | − | 0.187759i | ||||
\(929\) | −4.42905e6 | − | 2.13292e6i | −0.168373 | − | 0.0810839i | 0.347799 | − | 0.937569i | \(-0.386929\pi\) |
−0.516172 | + | 0.856485i | \(0.672643\pi\) | |||||||
\(930\) | 292722. | + | 140968.i | 0.0110981 | + | 0.00534456i | ||||
\(931\) | −2.53220e6 | + | 1.10943e7i | −0.0957467 | + | 0.419494i | ||||
\(932\) | 1.20453e6 | + | 1.51044e6i | 0.0454233 | + | 0.0569591i | ||||
\(933\) | 9.34149e6 | − | 4.49863e6i | 0.351328 | − | 0.169190i | ||||
\(934\) | 1.71653e7 | + | 2.15246e7i | 0.643849 | + | 0.807361i | ||||
\(935\) | −295.915 | − | 1296.49i | −1.10697e−5 | − | 4.84997e-5i | ||||
\(936\) | −964350. | − | 464406.i | −0.0359787 | − | 0.0173264i | ||||
\(937\) | 2.47741e6 | + | 1.08542e7i | 0.0921826 | + | 0.403878i | 0.999876 | − | 0.0157559i | \(-0.00501546\pi\) |
−0.907693 | + | 0.419634i | \(0.862158\pi\) | |||||||
\(938\) | 2.19316e7 | − | 1.05617e7i | 0.813887 | − | 0.391947i | ||||
\(939\) | 8.36513e6 | 0.309606 | ||||||||
\(940\) | −159471. | −0.00588658 | ||||||||
\(941\) | 6.46649e6 | − | 3.11410e6i | 0.238065 | − | 0.114646i | −0.311048 | − | 0.950394i | \(-0.600680\pi\) |
0.549113 | + | 0.835748i | \(0.314966\pi\) | |||||||
\(942\) | 699721. | − | 3.06568e6i | 0.0256920 | − | 0.112564i | ||||
\(943\) | 1.47132e7 | − | 1.84498e7i | 0.538800 | − | 0.675634i | ||||
\(944\) | 1.08613e7 | + | 1.36196e7i | 0.396689 | + | 0.497433i | ||||
\(945\) | −696073. | −0.0253557 | ||||||||
\(946\) | −1.51381e6 | + | 1.19251e7i | −0.0549976 | + | 0.433246i | ||||
\(947\) | −1.05697e7 | −0.382989 | −0.191495 | − | 0.981494i | \(-0.561333\pi\) | ||||
−0.191495 | + | 0.981494i | \(0.561333\pi\) | |||||||
\(948\) | 890287. | + | 1.11638e6i | 0.0321743 | + | 0.0403453i | ||||
\(949\) | 1.04178e6 | − | 1.30634e6i | 0.0375499 | − | 0.0470860i | ||||
\(950\) | 2.14888e6 | − | 9.41484e6i | 0.0772507 | − | 0.338457i | ||||
\(951\) | 3.25847e6 | − | 1.56919e6i | 0.116832 | − | 0.0562633i | ||||
\(952\) | −111535. | −0.00398858 | ||||||||
\(953\) | 2.04052e7 | 0.727793 | 0.363897 | − | 0.931439i | \(-0.381446\pi\) | ||||
0.363897 | + | 0.931439i | \(0.381446\pi\) | |||||||
\(954\) | −1.05291e7 | + | 5.07054e6i | −0.374558 | + | 0.180378i | ||||
\(955\) | −428679. | − | 1.87816e6i | −0.0152098 | − | 0.0666385i | ||||
\(956\) | 2.45434e6 | + | 1.18195e6i | 0.0868539 | + | 0.0418266i | ||||
\(957\) | −397115. | − | 1.73987e6i | −0.0140164 | − | 0.0614098i | ||||
\(958\) | −2.09703e7 | − | 2.62959e7i | −0.738227 | − | 0.925707i | ||||
\(959\) | 2.72815e7 | − | 1.31381e7i | 0.957904 | − | 0.461302i | ||||
\(960\) | 178252. | + | 223521.i | 0.00624246 | + | 0.00782779i | ||||
\(961\) | −8.93414e6 | + | 3.91430e7i | −0.312064 | + | 1.36724i | ||||
\(962\) | 1.42337e6 | + | 685460.i | 0.0495885 | + | 0.0238806i | ||||
\(963\) | 1.41977e7 | + | 6.83727e6i | 0.493348 | + | 0.237584i | ||||
\(964\) | −3.05572e6 | + | 3.83175e6i | −0.105906 | + | 0.132802i | ||||
\(965\) | 311528. | − | 1.36489e6i | 0.0107691 | − | 0.0471824i | ||||
\(966\) | −2.35019e6 | − | 1.02969e7i | −0.0810326 | − | 0.355027i | ||||
\(967\) | −1.57243e7 | + | 1.97176e7i | −0.540761 | + | 0.678092i | −0.974872 | − | 0.222767i | \(-0.928491\pi\) |
0.434111 | + | 0.900859i | \(0.357063\pi\) | |||||||
\(968\) | 1.47956e7 | − | 1.85531e7i | 0.507510 | − | 0.636397i | ||||
\(969\) | −1499.95 | − | 6571.72i | −5.13178e−5 | − | 0.000224838i | ||||
\(970\) | −71125.4 | + | 311621.i | −0.00242714 | + | 0.0106340i | ||||
\(971\) | 3.35115e7 | − | 4.20220e7i | 1.14063 | − | 1.43031i | 0.254378 | − | 0.967105i | \(-0.418129\pi\) |
0.886253 | − | 0.463202i | \(-0.153299\pi\) | |||||||
\(972\) | 3.73543e6 | + | 1.79889e6i | 0.126816 | + | 0.0610714i | ||||
\(973\) | 3.91044e7 | + | 1.88317e7i | 1.32417 | + | 0.637687i | ||||
\(974\) | 8.87006e6 | − | 3.88623e7i | 0.299591 | − | 1.31260i | ||||
\(975\) | −165437. | − | 207451.i | −0.00557340 | − | 0.00698882i | ||||
\(976\) | −4.18000e6 | + | 2.01298e6i | −0.140460 | + | 0.0676418i | ||||
\(977\) | −2.37646e7 | − | 2.97998e7i | −0.796515 | − | 0.998798i | −0.999806 | − | 0.0196796i | \(-0.993735\pi\) |
0.203292 | − | 0.979118i | \(-0.434836\pi\) | |||||||
\(978\) | 1.96585e6 | + | 8.61295e6i | 0.0657209 | + | 0.287942i | ||||
\(979\) | −1.05280e6 | − | 507001.i | −0.0351066 | − | 0.0169064i | ||||
\(980\) | 63275.0 | + | 277226.i | 0.00210459 | + | 0.00922080i | ||||
\(981\) | −7.53786e6 | + | 3.63004e6i | −0.250078 | + | 0.120431i | ||||
\(982\) | 1.34607e7 | 0.445441 | ||||||||
\(983\) | 1.40286e7 | 0.463053 | 0.231526 | − | 0.972829i | \(-0.425628\pi\) | ||||
0.231526 | + | 0.972829i | \(0.425628\pi\) | |||||||
\(984\) | 4.68427e6 | − | 2.25582e6i | 0.154225 | − | 0.0742707i | ||||
\(985\) | −170584. | + | 747378.i | −0.00560206 | + | 0.0245442i | ||||
\(986\) | 23930.9 | − | 30008.4i | 0.000783911 | − | 0.000982993i | ||||
\(987\) | 4.29818e6 | + | 5.38975e6i | 0.140440 | + | 0.176107i | ||||
\(988\) | −104012. | −0.00338992 | ||||||||
\(989\) | 2.67007e7 | + | 2.74627e7i | 0.868023 | + | 0.892796i | ||||
\(990\) | −501713. | −0.0162692 | ||||||||
\(991\) | 1.48698e7 | + | 1.86461e7i | 0.480973 | + | 0.603121i | 0.961820 | − | 0.273683i | \(-0.0882420\pi\) |
−0.480847 | + | 0.876805i | \(0.659671\pi\) | |||||||
\(992\) | −1.29277e7 | + | 1.62108e7i | −0.417102 | + | 0.523030i | ||||
\(993\) | −2.29047e6 | + | 1.00352e7i | −0.0737143 | + | 0.322963i | ||||
\(994\) | −4.24162e7 | + | 2.04265e7i | −1.36165 | + | 0.655736i | ||||
\(995\) | −1.08985e6 | −0.0348987 | ||||||||
\(996\) | −2.05775e6 | −0.0657271 | ||||||||
\(997\) | 2.82922e7 | − | 1.36248e7i | 0.901424 | − | 0.434103i | 0.0750206 | − | 0.997182i | \(-0.476098\pi\) |
0.826403 | + | 0.563079i | \(0.190383\pi\) | |||||||
\(998\) | −5.13182e6 | − | 2.24840e7i | −0.163097 | − | 0.714573i | ||||
\(999\) | −2.01913e7 | − | 9.72361e6i | −0.640103 | − | 0.308258i |
(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 | 43.6.e.a.11.13 | yes | 108 | |
43.4 | even | 7 | inner | 43.6.e.a.4.13 | ✓ | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.6.e.a.4.13 | ✓ | 108 | 43.4 | even | 7 | inner | |
43.6.e.a.11.13 | yes | 108 | 1.1 | even | 1 | trivial |