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 | 11.15 | ||
Character | \(\chi\) | \(=\) | 43.11 |
Dual form | 43.6.e.a.4.15 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.37339 | + | 5.48406i | 0.773113 | + | 0.969453i | 0.999990 | − | 0.00447028i | \(-0.00142294\pi\) |
−0.226877 | + | 0.973923i | \(0.572852\pi\) | |||||||
\(3\) | −9.64274 | + | 12.0916i | −0.618582 | + | 0.775678i | −0.988144 | − | 0.153528i | \(-0.950936\pi\) |
0.369562 | + | 0.929206i | \(0.379508\pi\) | |||||||
\(4\) | −3.82767 | + | 16.7701i | −0.119615 | + | 0.524066i | ||||
\(5\) | −28.9111 | + | 13.9228i | −0.517177 | + | 0.249059i | −0.674218 | − | 0.738533i | \(-0.735519\pi\) |
0.157040 | + | 0.987592i | \(0.449805\pi\) | |||||||
\(6\) | −108.483 | −1.23022 | ||||||||
\(7\) | −153.633 | −1.18506 | −0.592530 | − | 0.805548i | \(-0.701871\pi\) | ||||
−0.592530 | + | 0.805548i | \(0.701871\pi\) | |||||||
\(8\) | 93.5232 | − | 45.0384i | 0.516648 | − | 0.248804i | ||||
\(9\) | 0.847858 | + | 3.71471i | 0.00348913 | + | 0.0152869i | ||||
\(10\) | −202.793 | − | 97.6600i | −0.641288 | − | 0.308828i | ||||
\(11\) | −14.7691 | − | 64.7078i | −0.0368022 | − | 0.161241i | 0.953188 | − | 0.302379i | \(-0.0977809\pi\) |
−0.989990 | + | 0.141138i | \(0.954924\pi\) | |||||||
\(12\) | −165.869 | − | 207.993i | −0.332515 | − | 0.416960i | ||||
\(13\) | −483.288 | + | 232.739i | −0.793136 | + | 0.381954i | −0.786161 | − | 0.618021i | \(-0.787935\pi\) |
−0.00697510 | + | 0.999976i | \(0.502220\pi\) | |||||||
\(14\) | −671.899 | − | 842.534i | −0.916186 | − | 1.14886i | ||||
\(15\) | 110.432 | − | 483.836i | 0.126727 | − | 0.555227i | ||||
\(16\) | 1151.94 | + | 554.745i | 1.12494 | + | 0.541743i | ||||
\(17\) | 65.9100 | + | 31.7406i | 0.0553132 | + | 0.0266374i | 0.461336 | − | 0.887226i | \(-0.347370\pi\) |
−0.406023 | + | 0.913863i | \(0.633085\pi\) | |||||||
\(18\) | −16.6636 | + | 20.8956i | −0.0121224 | + | 0.0152010i | ||||
\(19\) | −275.937 | + | 1208.96i | −0.175358 | + | 0.768294i | 0.808376 | + | 0.588666i | \(0.200347\pi\) |
−0.983735 | + | 0.179628i | \(0.942511\pi\) | |||||||
\(20\) | −122.826 | − | 538.134i | −0.0686616 | − | 0.300826i | ||||
\(21\) | 1481.45 | − | 1857.68i | 0.733058 | − | 0.919225i | ||||
\(22\) | 290.270 | − | 363.987i | 0.127863 | − | 0.160335i | ||||
\(23\) | 392.573 | + | 1719.97i | 0.154739 | + | 0.677958i | 0.991469 | + | 0.130342i | \(0.0416074\pi\) |
−0.836730 | + | 0.547616i | \(0.815535\pi\) | |||||||
\(24\) | −357.233 | + | 1565.14i | −0.126597 | + | 0.554658i | ||||
\(25\) | −1306.40 | + | 1638.17i | −0.418048 | + | 0.524216i | ||||
\(26\) | −3389.96 | − | 1632.52i | −0.983471 | − | 0.473615i | ||||
\(27\) | −3439.10 | − | 1656.18i | −0.907893 | − | 0.437218i | ||||
\(28\) | 588.058 | − | 2576.45i | 0.141751 | − | 0.621050i | ||||
\(29\) | 3841.84 | + | 4817.52i | 0.848291 | + | 1.06372i | 0.997193 | + | 0.0748710i | \(0.0238545\pi\) |
−0.148903 | + | 0.988852i | \(0.547574\pi\) | |||||||
\(30\) | 3136.35 | − | 1510.39i | 0.636240 | − | 0.306397i | ||||
\(31\) | 1028.61 | + | 1289.84i | 0.192241 | + | 0.241063i | 0.868605 | − | 0.495505i | \(-0.165017\pi\) |
−0.676364 | + | 0.736567i | \(0.736445\pi\) | |||||||
\(32\) | 1256.48 | + | 5505.00i | 0.216911 | + | 0.950348i | ||||
\(33\) | 924.837 | + | 445.378i | 0.147836 | + | 0.0711941i | ||||
\(34\) | 114.183 | + | 500.268i | 0.0169396 | + | 0.0742173i | ||||
\(35\) | 4441.71 | − | 2139.01i | 0.612887 | − | 0.295151i | ||||
\(36\) | −65.5414 | −0.00842867 | ||||||||
\(37\) | 6031.76 | 0.724336 | 0.362168 | − | 0.932113i | \(-0.382037\pi\) | ||||
0.362168 | + | 0.932113i | \(0.382037\pi\) | |||||||
\(38\) | −7836.78 | + | 3773.99i | −0.880397 | + | 0.423977i | ||||
\(39\) | 1846.03 | − | 8087.98i | 0.194347 | − | 0.851489i | ||||
\(40\) | −2076.80 | + | 2604.22i | −0.205231 | + | 0.257352i | ||||
\(41\) | 2240.03 | + | 2808.91i | 0.208111 | + | 0.260963i | 0.874922 | − | 0.484264i | \(-0.160913\pi\) |
−0.666811 | + | 0.745227i | \(0.732341\pi\) | |||||||
\(42\) | 16666.6 | 1.45788 | ||||||||
\(43\) | 10598.2 | − | 5889.50i | 0.874101 | − | 0.485744i | ||||
\(44\) | 1141.69 | 0.0889029 | ||||||||
\(45\) | −76.2318 | − | 95.5916i | −0.00561183 | − | 0.00703702i | ||||
\(46\) | −7715.56 | + | 9675.01i | −0.537617 | + | 0.674150i | ||||
\(47\) | 3932.25 | − | 17228.3i | 0.259655 | − | 1.13762i | −0.661966 | − | 0.749533i | \(-0.730278\pi\) |
0.921622 | − | 0.388090i | \(-0.126865\pi\) | |||||||
\(48\) | −17815.6 | + | 8579.55i | −1.11609 | + | 0.537479i | ||||
\(49\) | 6796.24 | 0.404369 | ||||||||
\(50\) | −14697.2 | −0.831401 | ||||||||
\(51\) | −1019.35 | + | 490.892i | −0.0548778 | + | 0.0264278i | ||||
\(52\) | −2053.20 | − | 8995.65i | −0.105299 | − | 0.461343i | ||||
\(53\) | −14632.4 | − | 7046.61i | −0.715529 | − | 0.344580i | 0.0404457 | − | 0.999182i | \(-0.487122\pi\) |
−0.755974 | + | 0.654601i | \(0.772836\pi\) | |||||||
\(54\) | −5957.91 | − | 26103.3i | −0.278041 | − | 1.21818i | ||||
\(55\) | 1327.91 | + | 1665.14i | 0.0591918 | + | 0.0742241i | ||||
\(56\) | −14368.3 | + | 6919.41i | −0.612259 | + | 0.294848i | ||||
\(57\) | −11957.5 | − | 14994.2i | −0.487475 | − | 0.611275i | ||||
\(58\) | −9617.67 | + | 42137.8i | −0.375405 | + | 1.64476i | ||||
\(59\) | −28738.1 | − | 13839.6i | −1.07480 | − | 0.517598i | −0.189151 | − | 0.981948i | \(-0.560574\pi\) |
−0.885652 | + | 0.464350i | \(0.846288\pi\) | |||||||
\(60\) | 7691.29 | + | 3703.93i | 0.275817 | + | 0.132826i | ||||
\(61\) | −9242.87 | + | 11590.2i | −0.318040 | + | 0.398810i | −0.914995 | − | 0.403465i | \(-0.867806\pi\) |
0.596955 | + | 0.802275i | \(0.296377\pi\) | |||||||
\(62\) | −2575.02 | + | 11281.9i | −0.0850749 | + | 0.372737i | ||||
\(63\) | −130.259 | − | 570.703i | −0.00413483 | − | 0.0181159i | ||||
\(64\) | 814.683 | − | 1021.58i | 0.0248622 | − | 0.0311762i | ||||
\(65\) | 10732.0 | − | 13457.5i | 0.315063 | − | 0.395076i | ||||
\(66\) | 1602.19 | + | 7019.67i | 0.0452746 | + | 0.198361i | ||||
\(67\) | 1727.69 | − | 7569.49i | 0.0470195 | − | 0.206006i | −0.945962 | − | 0.324278i | \(-0.894879\pi\) |
0.992981 | + | 0.118273i | \(0.0377357\pi\) | |||||||
\(68\) | −784.574 | + | 983.825i | −0.0205760 | + | 0.0258015i | ||||
\(69\) | −24582.8 | − | 11838.4i | −0.621596 | − | 0.299345i | ||||
\(70\) | 31155.8 | + | 15003.8i | 0.759965 | + | 0.365980i | ||||
\(71\) | −9581.84 | + | 41980.8i | −0.225581 | + | 0.988336i | 0.727616 | + | 0.685985i | \(0.240628\pi\) |
−0.953197 | + | 0.302351i | \(0.902229\pi\) | |||||||
\(72\) | 246.599 | + | 309.225i | 0.00560609 | + | 0.00702981i | ||||
\(73\) | 32380.0 | − | 15593.4i | 0.711163 | − | 0.342478i | −0.0430814 | − | 0.999072i | \(-0.513717\pi\) |
0.754245 | + | 0.656593i | \(0.228003\pi\) | |||||||
\(74\) | 26379.2 | + | 33078.5i | 0.559994 | + | 0.702210i | ||||
\(75\) | −7210.89 | − | 31593.0i | −0.148025 | − | 0.648541i | ||||
\(76\) | −19218.2 | − | 9254.99i | −0.381661 | − | 0.183798i | ||||
\(77\) | 2269.03 | + | 9941.28i | 0.0436128 | + | 0.191080i | ||||
\(78\) | 52428.4 | − | 25248.2i | 0.975730 | − | 0.469887i | ||||
\(79\) | 55794.9 | 1.00584 | 0.502918 | − | 0.864334i | \(-0.332260\pi\) | ||||
0.502918 | + | 0.864334i | \(0.332260\pi\) | |||||||
\(80\) | −41027.5 | −0.716720 | ||||||||
\(81\) | 52354.0 | − | 25212.4i | 0.886620 | − | 0.426974i | ||||
\(82\) | −5607.70 | + | 24568.9i | −0.0920980 | + | 0.403508i | ||||
\(83\) | 72714.9 | − | 91181.6i | 1.15859 | − | 1.45282i | 0.290177 | − | 0.956973i | \(-0.406286\pi\) |
0.868409 | − | 0.495848i | \(-0.165143\pi\) | |||||||
\(84\) | 25483.0 | + | 31954.6i | 0.394050 | + | 0.494123i | ||||
\(85\) | −2347.45 | −0.0352410 | ||||||||
\(86\) | 78648.5 | + | 32364.1i | 1.14669 | + | 0.471865i | ||||
\(87\) | −95297.5 | −1.34984 | ||||||||
\(88\) | −4295.59 | − | 5386.50i | −0.0591312 | − | 0.0741481i | ||||
\(89\) | −54288.9 | + | 68076.1i | −0.726501 | + | 0.911003i | −0.998686 | − | 0.0512419i | \(-0.983682\pi\) |
0.272186 | + | 0.962245i | \(0.412253\pi\) | |||||||
\(90\) | 190.839 | − | 836.119i | 0.00248348 | − | 0.0108808i | ||||
\(91\) | 74249.3 | − | 35756.6i | 0.939915 | − | 0.452639i | ||||
\(92\) | −30346.8 | −0.373804 | ||||||||
\(93\) | −25514.8 | −0.305904 | ||||||||
\(94\) | 111678. | − | 53781.5i | 1.30362 | − | 0.627788i | ||||
\(95\) | −8854.51 | − | 38794.1i | −0.100660 | − | 0.441019i | ||||
\(96\) | −78680.3 | − | 37890.4i | −0.871341 | − | 0.419616i | ||||
\(97\) | 19781.1 | + | 86666.7i | 0.213462 | + | 0.935239i | 0.962194 | + | 0.272366i | \(0.0878061\pi\) |
−0.748731 | + | 0.662873i | \(0.769337\pi\) | |||||||
\(98\) | 29722.6 | + | 37270.9i | 0.312623 | + | 0.392017i | ||||
\(99\) | 227.848 | − | 109.726i | 0.00233646 | − | 0.00112518i | ||||
\(100\) | −22471.9 | − | 28178.9i | −0.224719 | − | 0.281789i | ||||
\(101\) | −37855.9 | + | 165858.i | −0.369258 | + | 1.61783i | 0.359561 | + | 0.933121i | \(0.382926\pi\) |
−0.728820 | + | 0.684706i | \(0.759931\pi\) | |||||||
\(102\) | −7150.08 | − | 3443.30i | −0.0680473 | − | 0.0327698i | ||||
\(103\) | −53433.4 | − | 25732.2i | −0.496272 | − | 0.238992i | 0.168968 | − | 0.985622i | \(-0.445957\pi\) |
−0.665240 | + | 0.746630i | \(0.731671\pi\) | |||||||
\(104\) | −34716.5 | + | 43533.1i | −0.314740 | + | 0.394672i | ||||
\(105\) | −16966.1 | + | 74333.4i | −0.150179 | + | 0.657977i | ||||
\(106\) | −25349.3 | − | 111063.i | −0.219130 | − | 0.960071i | ||||
\(107\) | −90706.2 | + | 113742.i | −0.765909 | + | 0.960420i | −0.999930 | − | 0.0118115i | \(-0.996240\pi\) |
0.234021 | + | 0.972232i | \(0.424812\pi\) | |||||||
\(108\) | 40938.1 | − | 51334.7i | 0.337729 | − | 0.423498i | ||||
\(109\) | 16442.5 | + | 72039.3i | 0.132557 | + | 0.580769i | 0.996956 | + | 0.0779634i | \(0.0248417\pi\) |
−0.864399 | + | 0.502806i | \(0.832301\pi\) | |||||||
\(110\) | −3324.29 | + | 14564.6i | −0.0261949 | + | 0.114767i | ||||
\(111\) | −58162.7 | + | 72933.8i | −0.448061 | + | 0.561851i | ||||
\(112\) | −176976. | − | 85227.4i | −1.33312 | − | 0.641999i | ||||
\(113\) | 170137. | + | 81933.7i | 1.25344 | + | 0.603624i | 0.938431 | − | 0.345466i | \(-0.112279\pi\) |
0.315006 | + | 0.949090i | \(0.397993\pi\) | |||||||
\(114\) | 29934.4 | − | 131151.i | 0.215729 | − | 0.945169i | ||||
\(115\) | −35296.7 | − | 44260.6i | −0.248879 | − | 0.312085i | ||||
\(116\) | −95495.6 | + | 45988.3i | −0.658929 | + | 0.317323i | ||||
\(117\) | −1274.32 | − | 1597.94i | −0.00860624 | − | 0.0107919i | ||||
\(118\) | −49786.1 | − | 218127.i | −0.329157 | − | 1.44213i | ||||
\(119\) | −10126.0 | − | 4876.41i | −0.0655495 | − | 0.0315670i | ||||
\(120\) | −11463.2 | − | 50223.6i | −0.0726697 | − | 0.318387i | ||||
\(121\) | 141133. | − | 67966.1i | 0.876325 | − | 0.422016i | ||||
\(122\) | −103984. | −0.632509 | ||||||||
\(123\) | −55564.4 | −0.331157 | ||||||||
\(124\) | −25567.9 | + | 12312.8i | −0.149328 | + | 0.0719124i | ||||
\(125\) | 37275.3 | − | 163314.i | 0.213376 | − | 0.934863i | ||||
\(126\) | 2560.09 | − | 3210.26i | 0.0143658 | − | 0.0180141i | ||||
\(127\) | −170018. | − | 213196.i | −0.935375 | − | 1.17292i | −0.984721 | − | 0.174142i | \(-0.944285\pi\) |
0.0493451 | − | 0.998782i | \(-0.484287\pi\) | |||||||
\(128\) | 189856. | 1.02423 | ||||||||
\(129\) | −30982.2 | + | 184941.i | −0.163922 | + | 0.978493i | ||||
\(130\) | 120737. | 0.626587 | ||||||||
\(131\) | 53567.6 | + | 67171.6i | 0.272724 | + | 0.341985i | 0.899266 | − | 0.437403i | \(-0.144102\pi\) |
−0.626542 | + | 0.779388i | \(0.715530\pi\) | |||||||
\(132\) | −11009.0 | + | 13804.9i | −0.0549937 | + | 0.0689600i | ||||
\(133\) | 42393.1 | − | 185737.i | 0.207810 | − | 0.910475i | ||||
\(134\) | 49067.4 | − | 23629.6i | 0.236064 | − | 0.113683i | ||||
\(135\) | 122487. | 0.578435 | ||||||||
\(136\) | 7593.66 | 0.0352050 | ||||||||
\(137\) | −58229.6 | + | 28041.9i | −0.265059 | + | 0.127646i | −0.561694 | − | 0.827345i | \(-0.689850\pi\) |
0.296634 | + | 0.954991i | \(0.404136\pi\) | |||||||
\(138\) | −42587.3 | − | 186587.i | −0.190363 | − | 0.834035i | ||||
\(139\) | −27244.1 | − | 13120.1i | −0.119601 | − | 0.0575970i | 0.373126 | − | 0.927781i | \(-0.378286\pi\) |
−0.492728 | + | 0.870184i | \(0.664000\pi\) | |||||||
\(140\) | 18870.1 | + | 82675.4i | 0.0813682 | + | 0.356497i | ||||
\(141\) | 170401. | + | 213676.i | 0.721811 | + | 0.905122i | ||||
\(142\) | −272130. | + | 131051.i | −1.13254 | + | 0.545405i | ||||
\(143\) | 22197.8 | + | 27835.2i | 0.0907758 | + | 0.113829i | ||||
\(144\) | −1084.03 | + | 4749.46i | −0.00435649 | + | 0.0190870i | ||||
\(145\) | −178145. | − | 85790.3i | −0.703647 | − | 0.338858i | ||||
\(146\) | 227125. | + | 109378.i | 0.881826 | + | 0.424665i | ||||
\(147\) | −65534.4 | + | 82177.5i | −0.250136 | + | 0.313660i | ||||
\(148\) | −23087.6 | + | 101153.i | −0.0866412 | + | 0.379600i | ||||
\(149\) | 36035.6 | + | 157882.i | 0.132974 | + | 0.582596i | 0.996879 | + | 0.0789422i | \(0.0251543\pi\) |
−0.863905 | + | 0.503654i | \(0.831989\pi\) | |||||||
\(150\) | 141722. | − | 177713.i | 0.514290 | − | 0.644899i | ||||
\(151\) | −273653. | + | 343150.i | −0.976692 | + | 1.22473i | −0.00227226 | + | 0.999997i | \(0.500723\pi\) |
−0.974420 | + | 0.224736i | \(0.927848\pi\) | |||||||
\(152\) | 28643.1 | + | 125494.i | 0.100557 | + | 0.440567i | ||||
\(153\) | −62.0247 | + | 271.748i | −0.000214208 | + | 0.000938507i | ||||
\(154\) | −44595.2 | + | 55920.6i | −0.151526 | + | 0.190007i | ||||
\(155\) | −47696.4 | − | 22969.4i | −0.159462 | − | 0.0767927i | ||||
\(156\) | 128570. | + | 61916.2i | 0.422989 | + | 0.203701i | ||||
\(157\) | −36509.1 | + | 159957.i | −0.118209 | + | 0.517909i | 0.880803 | + | 0.473482i | \(0.157003\pi\) |
−0.999013 | + | 0.0444266i | \(0.985854\pi\) | |||||||
\(158\) | 244013. | + | 305982.i | 0.777624 | + | 0.975110i | ||||
\(159\) | 226302. | − | 108981.i | 0.709897 | − | 0.341868i | ||||
\(160\) | −112972. | − | 141662.i | −0.348874 | − | 0.437475i | ||||
\(161\) | −60312.3 | − | 264246.i | −0.183376 | − | 0.803421i | ||||
\(162\) | 367231. | + | 176849.i | 1.09939 | + | 0.529438i | ||||
\(163\) | −78064.6 | − | 342023.i | −0.230136 | − | 1.00829i | −0.949526 | − | 0.313687i | \(-0.898436\pi\) |
0.719390 | − | 0.694606i | \(-0.244421\pi\) | |||||||
\(164\) | −55679.9 | + | 26814.0i | −0.161655 | + | 0.0778489i | ||||
\(165\) | −32939.0 | −0.0941890 | ||||||||
\(166\) | 818056. | 2.30416 | ||||||||
\(167\) | −413628. | + | 199193.i | −1.14767 | + | 0.552691i | −0.908334 | − | 0.418245i | \(-0.862645\pi\) |
−0.239340 | + | 0.970936i | \(0.576931\pi\) | |||||||
\(168\) | 54883.0 | − | 240458.i | 0.150025 | − | 0.657304i | ||||
\(169\) | −52097.4 | + | 65328.1i | −0.140314 | + | 0.175948i | ||||
\(170\) | −10266.3 | − | 12873.5i | −0.0272453 | − | 0.0341645i | ||||
\(171\) | −4724.88 | −0.0123567 | ||||||||
\(172\) | 58201.2 | + | 200276.i | 0.150007 | + | 0.516189i | ||||
\(173\) | −218673. | −0.555494 | −0.277747 | − | 0.960654i | \(-0.589588\pi\) | ||||
−0.277747 | + | 0.960654i | \(0.589588\pi\) | |||||||
\(174\) | −416773. | − | 522617.i | −1.04358 | − | 1.30861i | ||||
\(175\) | 200707. | − | 251678.i | 0.495412 | − | 0.621228i | ||||
\(176\) | 18883.2 | − | 82732.6i | 0.0459508 | − | 0.201324i | ||||
\(177\) | 444457. | − | 214039.i | 1.06634 | − | 0.513524i | ||||
\(178\) | −610760. | −1.44484 | ||||||||
\(179\) | −332591. | −0.775850 | −0.387925 | − | 0.921691i | \(-0.626808\pi\) | ||||
−0.387925 | + | 0.921691i | \(0.626808\pi\) | |||||||
\(180\) | 1894.87 | − | 912.522i | 0.00435912 | − | 0.00209924i | ||||
\(181\) | −46441.1 | − | 203472.i | −0.105367 | − | 0.461644i | −0.999893 | − | 0.0146278i | \(-0.995344\pi\) |
0.894526 | − | 0.447016i | \(-0.147513\pi\) | |||||||
\(182\) | 520812. | + | 250810.i | 1.16547 | + | 0.561262i | ||||
\(183\) | −51017.6 | − | 223523.i | −0.112614 | − | 0.493394i | ||||
\(184\) | 114180. | + | 143177.i | 0.248625 | + | 0.311765i | ||||
\(185\) | −174385. | + | 83979.3i | −0.374610 | + | 0.180403i | ||||
\(186\) | −111586. | − | 139925.i | −0.236498 | − | 0.296560i | ||||
\(187\) | 1080.43 | − | 4733.67i | 0.00225940 | − | 0.00989906i | ||||
\(188\) | 273870. | + | 131889.i | 0.565131 | + | 0.272153i | ||||
\(189\) | 528360. | + | 254445.i | 1.07591 | + | 0.518130i | ||||
\(190\) | 174025. | − | 218220.i | 0.349726 | − | 0.438542i | ||||
\(191\) | −108615. | + | 475871.i | −0.215429 | + | 0.943857i | 0.745379 | + | 0.666641i | \(0.232269\pi\) |
−0.960808 | + | 0.277216i | \(0.910588\pi\) | |||||||
\(192\) | 4496.78 | + | 19701.7i | 0.00880336 | + | 0.0385700i | ||||
\(193\) | 375311. | − | 470625.i | 0.725267 | − | 0.909456i | −0.273356 | − | 0.961913i | \(-0.588134\pi\) |
0.998623 | + | 0.0524571i | \(0.0167053\pi\) | |||||||
\(194\) | −388774. | + | 487508.i | −0.741640 | + | 0.929987i | ||||
\(195\) | 59237.0 | + | 259534.i | 0.111560 | + | 0.488774i | ||||
\(196\) | −26013.7 | + | 113974.i | −0.0483685 | + | 0.211916i | ||||
\(197\) | 276660. | − | 346921.i | 0.507904 | − | 0.636891i | −0.460088 | − | 0.887873i | \(-0.652182\pi\) |
0.967992 | + | 0.250982i | \(0.0807536\pi\) | |||||||
\(198\) | 1598.21 | + | 769.659i | 0.00289715 | + | 0.00139520i | ||||
\(199\) | 751375. | + | 361843.i | 1.34501 | + | 0.647720i | 0.961241 | − | 0.275711i | \(-0.0889131\pi\) |
0.383765 | + | 0.923431i | \(0.374627\pi\) | |||||||
\(200\) | −48398.0 | + | 212046.i | −0.0855564 | + | 0.374847i | ||||
\(201\) | 74867.8 | + | 93881.2i | 0.130709 | + | 0.163904i | ||||
\(202\) | −1.07513e6 | + | 517756.i | −1.85389 | + | 0.892784i | ||||
\(203\) | −590236. | − | 740132.i | −1.00528 | − | 1.26058i | ||||
\(204\) | −4330.59 | − | 18973.6i | −0.00728570 | − | 0.0319208i | ||||
\(205\) | −103870. | − | 50021.1i | −0.172626 | − | 0.0831321i | ||||
\(206\) | −92568.4 | − | 405568.i | −0.151983 | − | 0.665880i | ||||
\(207\) | −6056.36 | + | 2916.59i | −0.00982394 | + | 0.00473096i | ||||
\(208\) | −685830. | −1.09915 | ||||||||
\(209\) | 82304.4 | 0.130334 | ||||||||
\(210\) | −481848. | + | 232046.i | −0.753984 | + | 0.363099i | ||||
\(211\) | 266861. | − | 1.16919e6i | 0.412647 | − | 1.80793i | −0.158828 | − | 0.987306i | \(-0.550771\pi\) |
0.571475 | − | 0.820619i | \(-0.306371\pi\) | |||||||
\(212\) | 174181. | − | 218415.i | 0.266171 | − | 0.333767i | ||||
\(213\) | −415220. | − | 520670.i | −0.627089 | − | 0.786345i | ||||
\(214\) | −1.02046e6 | −1.52322 | ||||||||
\(215\) | −224407. | + | 317829.i | −0.331086 | + | 0.468919i | ||||
\(216\) | −396227. | −0.577843 | ||||||||
\(217\) | −158029. | − | 198162.i | −0.227817 | − | 0.285674i | ||||
\(218\) | −323158. | + | 405228.i | −0.460547 | + | 0.577508i | ||||
\(219\) | −123683. | + | 541889.i | −0.174260 | + | 0.763485i | ||||
\(220\) | −33007.4 | + | 15895.5i | −0.0459785 | + | 0.0221421i | ||||
\(221\) | −39240.8 | −0.0540452 | ||||||||
\(222\) | −654341. | −0.891090 | ||||||||
\(223\) | 715908. | − | 344763.i | 0.964040 | − | 0.464257i | 0.115453 | − | 0.993313i | \(-0.463168\pi\) |
0.848587 | + | 0.529055i | \(0.177454\pi\) | |||||||
\(224\) | −193038. | − | 845753.i | −0.257052 | − | 1.12622i | ||||
\(225\) | −7192.98 | − | 3463.96i | −0.00947224 | − | 0.00456159i | ||||
\(226\) | 294746. | + | 1.29137e6i | 0.383864 | + | 1.68182i | ||||
\(227\) | −264396. | − | 331543.i | −0.340558 | − | 0.427046i | 0.581830 | − | 0.813310i | \(-0.302337\pi\) |
−0.922388 | + | 0.386264i | \(0.873765\pi\) | |||||||
\(228\) | 297224. | − | 143135.i | 0.378657 | − | 0.182352i | ||||
\(229\) | 661802. | + | 829874.i | 0.833949 | + | 1.04574i | 0.998239 | + | 0.0593272i | \(0.0188955\pi\) |
−0.164289 | + | 0.986412i | \(0.552533\pi\) | |||||||
\(230\) | 88361.6 | − | 387138.i | 0.110140 | − | 0.482554i | ||||
\(231\) | −142086. | − | 68425.0i | −0.175195 | − | 0.0843693i | ||||
\(232\) | 576275. | + | 277519.i | 0.702926 | + | 0.338512i | ||||
\(233\) | 74557.6 | − | 93492.3i | 0.0899709 | − | 0.112820i | −0.734808 | − | 0.678275i | \(-0.762728\pi\) |
0.824779 | + | 0.565455i | \(0.191299\pi\) | |||||||
\(234\) | 3190.13 | − | 13976.9i | 0.00380863 | − | 0.0166867i | ||||
\(235\) | 126182. | + | 552838.i | 0.149048 | + | 0.653022i | ||||
\(236\) | 342091. | − | 428969.i | 0.399817 | − | 0.501355i | ||||
\(237\) | −538016. | + | 674651.i | −0.622192 | + | 0.780204i | ||||
\(238\) | −17542.3 | − | 76857.9i | −0.0200745 | − | 0.0879520i | ||||
\(239\) | 40212.3 | − | 176181.i | 0.0455369 | − | 0.199510i | −0.947043 | − | 0.321108i | \(-0.895945\pi\) |
0.992579 | + | 0.121598i | \(0.0388018\pi\) | |||||||
\(240\) | 395617. | − | 496088.i | 0.443350 | − | 0.555944i | ||||
\(241\) | 1.54937e6 | + | 746136.i | 1.71835 | + | 0.827514i | 0.989790 | + | 0.142533i | \(0.0455245\pi\) |
0.728560 | + | 0.684982i | \(0.240190\pi\) | |||||||
\(242\) | 989959. | + | 476739.i | 1.08662 | + | 0.523290i | ||||
\(243\) | 6422.77 | − | 28140.0i | 0.00697761 | − | 0.0305709i | ||||
\(244\) | −158990. | − | 199367.i | −0.170960 | − | 0.214378i | ||||
\(245\) | −196487. | + | 94623.0i | −0.209131 | + | 0.100712i | ||||
\(246\) | −243005. | − | 304718.i | −0.256022 | − | 0.321041i | ||||
\(247\) | −148015. | − | 648497.i | −0.154370 | − | 0.676341i | ||||
\(248\) | 154291. | + | 74302.6i | 0.159298 | + | 0.0767141i | ||||
\(249\) | 401362. | + | 1.75848e6i | 0.410240 | + | 1.79738i | ||||
\(250\) | 1.05864e6 | − | 509815.i | 1.07127 | − | 0.515896i | ||||
\(251\) | −1.61981e6 | −1.62286 | −0.811430 | − | 0.584450i | \(-0.801310\pi\) | ||||
−0.811430 | + | 0.584450i | \(0.801310\pi\) | |||||||
\(252\) | 10069.3 | 0.00998849 | ||||||||
\(253\) | 105498. | − | 50805.1i | 0.103620 | − | 0.0499006i | ||||
\(254\) | 425623. | − | 1.86478e6i | 0.413944 | − | 1.81361i | ||||
\(255\) | 22635.8 | − | 28384.5i | 0.0217995 | − | 0.0273357i | ||||
\(256\) | 804243. | + | 1.00849e6i | 0.766986 | + | 0.961770i | ||||
\(257\) | 1.41355e6 | 1.33499 | 0.667495 | − | 0.744614i | \(-0.267366\pi\) | ||||
0.667495 | + | 0.744614i | \(0.267366\pi\) | |||||||
\(258\) | −1.14972e6 | + | 638909.i | −1.07533 | + | 0.597571i | ||||
\(259\) | −926681. | −0.858382 | ||||||||
\(260\) | 184605. | + | 231488.i | 0.169360 | + | 0.212371i | ||||
\(261\) | −14638.3 | + | 18355.9i | −0.0133012 | + | 0.0166792i | ||||
\(262\) | −134101. | + | 587535.i | −0.120692 | + | 0.528787i | ||||
\(263\) | 1.83965e6 | − | 885928.i | 1.64001 | − | 0.789785i | 0.640239 | − | 0.768175i | \(-0.278835\pi\) |
0.999766 | − | 0.0216097i | \(-0.00687913\pi\) | |||||||
\(264\) | 106553. | 0.0940926 | ||||||||
\(265\) | 521149. | 0.455876 | ||||||||
\(266\) | 1.20399e6 | − | 579812.i | 1.04332 | − | 0.502438i | ||||
\(267\) | −299657. | − | 1.31288e6i | −0.257244 | − | 1.12706i | ||||
\(268\) | 120328. | + | 57947.0i | 0.102336 | + | 0.0492826i | ||||
\(269\) | −247752. | − | 1.08547e6i | −0.208755 | − | 0.914614i | −0.965397 | − | 0.260785i | \(-0.916019\pi\) |
0.756642 | − | 0.653829i | \(-0.226839\pi\) | |||||||
\(270\) | 535682. | + | 671724.i | 0.447196 | + | 0.560766i | ||||
\(271\) | 242796. | − | 116925.i | 0.200825 | − | 0.0967124i | −0.330768 | − | 0.943712i | \(-0.607308\pi\) |
0.531593 | + | 0.847000i | \(0.321593\pi\) | |||||||
\(272\) | 58316.4 | + | 73126.5i | 0.0477935 | + | 0.0599311i | ||||
\(273\) | −283612. | + | 1.24258e6i | −0.230313 | + | 1.00907i | ||||
\(274\) | −408444. | − | 196696.i | −0.328667 | − | 0.158278i | ||||
\(275\) | 125297. | + | 60339.9i | 0.0999100 | + | 0.0481141i | ||||
\(276\) | 292626. | − | 366942.i | 0.231228 | − | 0.289951i | ||||
\(277\) | −412358. | + | 1.80666e6i | −0.322905 | + | 1.41474i | 0.509451 | + | 0.860500i | \(0.329849\pi\) |
−0.832356 | + | 0.554241i | \(0.813009\pi\) | |||||||
\(278\) | −47197.9 | − | 206788.i | −0.0366278 | − | 0.160477i | ||||
\(279\) | −3919.25 | + | 4914.58i | −0.00301434 | + | 0.00377986i | ||||
\(280\) | 319065. | − | 400095.i | 0.243212 | − | 0.304978i | ||||
\(281\) | −169998. | − | 744810.i | −0.128433 | − | 0.562703i | −0.997665 | − | 0.0682982i | \(-0.978243\pi\) |
0.869232 | − | 0.494405i | \(-0.164614\pi\) | |||||||
\(282\) | −426581. | + | 1.86897e6i | −0.319432 | + | 1.39952i | ||||
\(283\) | −351056. | + | 440210.i | −0.260561 | + | 0.326734i | −0.894854 | − | 0.446360i | \(-0.852720\pi\) |
0.634292 | + | 0.773093i | \(0.281292\pi\) | |||||||
\(284\) | −667346. | − | 321377.i | −0.490970 | − | 0.236439i | ||||
\(285\) | 554466. | + | 267017.i | 0.404355 | + | 0.194727i | ||||
\(286\) | −55570.0 | + | 243468.i | −0.0401721 | + | 0.176006i | ||||
\(287\) | −344144. | − | 431543.i | −0.246624 | − | 0.309257i | ||||
\(288\) | −19384.2 | + | 9334.92i | −0.0137710 | + | 0.00663177i | ||||
\(289\) | −881930. | − | 1.10590e6i | −0.621140 | − | 0.778885i | ||||
\(290\) | −308620. | − | 1.35215e6i | −0.215491 | − | 0.944129i | ||||
\(291\) | −1.23868e6 | − | 596519.i | −0.857488 | − | 0.412945i | ||||
\(292\) | 137563. | + | 602702.i | 0.0944156 | + | 0.413662i | ||||
\(293\) | −1.14789e6 | + | 552794.i | −0.781144 | + | 0.376179i | −0.781567 | − | 0.623821i | \(-0.785579\pi\) |
0.000423511 | 1.00000i | \(0.499865\pi\) | ||||||||
\(294\) | −737273. | −0.497462 | ||||||||
\(295\) | 1.02354e6 | 0.684776 | ||||||||
\(296\) | 564110. | − | 271661.i | 0.374226 | − | 0.180218i | ||||
\(297\) | −56375.4 | + | 246997.i | −0.0370850 | + | 0.162480i | ||||
\(298\) | −708238. | + | 888102.i | −0.461996 | + | 0.579325i | ||||
\(299\) | −590032. | − | 739877.i | −0.381678 | − | 0.478609i | ||||
\(300\) | 557419. | 0.357584 | ||||||||
\(301\) | −1.62824e6 | + | 904825.i | −1.03586 | + | 0.575636i | ||||
\(302\) | −3.07864e6 | −1.94241 | ||||||||
\(303\) | −1.64045e6 | − | 2.05706e6i | −1.02650 | − | 1.28718i | ||||
\(304\) | −988527. | + | 1.23957e6i | −0.613486 | + | 0.769287i | ||||
\(305\) | 105853. | − | 463772.i | 0.0651559 | − | 0.285466i | ||||
\(306\) | −1761.54 | + | 848.312i | −0.00107545 | + | 0.000517907i | ||||
\(307\) | −1.27851e6 | −0.774207 | −0.387104 | − | 0.922036i | \(-0.626524\pi\) | ||||
−0.387104 | + | 0.922036i | \(0.626524\pi\) | |||||||
\(308\) | −175401. | −0.105355 | ||||||||
\(309\) | 826388. | − | 397968.i | 0.492366 | − | 0.237111i | ||||
\(310\) | −82629.5 | − | 362024.i | −0.0488350 | − | 0.213960i | ||||
\(311\) | 237632. | + | 114438.i | 0.139317 | + | 0.0670916i | 0.502244 | − | 0.864726i | \(-0.332508\pi\) |
−0.362926 | + | 0.931818i | \(0.618222\pi\) | |||||||
\(312\) | −191623. | − | 839557.i | −0.111445 | − | 0.488274i | ||||
\(313\) | 1.68146e6 | + | 2.10848e6i | 0.970118 | + | 1.21649i | 0.976281 | + | 0.216509i | \(0.0694671\pi\) |
−0.00616225 | + | 0.999981i | \(0.501962\pi\) | |||||||
\(314\) | −1.03688e6 | + | 499335.i | −0.593478 | + | 0.285804i | ||||
\(315\) | 11711.8 | + | 14686.1i | 0.00665037 | + | 0.00833929i | ||||
\(316\) | −213564. | + | 935687.i | −0.120313 | + | 0.527124i | ||||
\(317\) | 2.42593e6 | + | 1.16827e6i | 1.35591 | + | 0.652972i | 0.963721 | − | 0.266913i | \(-0.0860037\pi\) |
0.392189 | + | 0.919885i | \(0.371718\pi\) | |||||||
\(318\) | 1.58736e6 | + | 764434.i | 0.880256 | + | 0.423909i | ||||
\(319\) | 254990. | − | 319748.i | 0.140297 | − | 0.175926i | ||||
\(320\) | −9330.07 | + | 40877.7i | −0.00509342 | + | 0.0223158i | ||||
\(321\) | −500668. | − | 2.19357e6i | −0.271198 | − | 1.18820i | ||||
\(322\) | 1.18537e6 | − | 1.48641e6i | 0.637109 | − | 0.798909i | ||||
\(323\) | −56560.0 | + | 70924.1i | −0.0301650 | + | 0.0378257i | ||||
\(324\) | 222420. | + | 974488.i | 0.117710 | + | 0.515720i | ||||
\(325\) | 250100. | − | 1.09576e6i | 0.131343 | − | 0.575450i | ||||
\(326\) | 1.53427e6 | − | 1.92391e6i | 0.799572 | − | 1.00263i | ||||
\(327\) | −1.02962e6 | − | 495840.i | −0.532487 | − | 0.256432i | ||||
\(328\) | 336004. | + | 161811.i | 0.172449 | + | 0.0830470i | ||||
\(329\) | −604126. | + | 2.64685e6i | −0.307707 | + | 1.34815i | ||||
\(330\) | −144055. | − | 180639.i | −0.0728187 | − | 0.0913118i | ||||
\(331\) | 3.48061e6 | − | 1.67617e6i | 1.74617 | − | 0.840910i | 0.765972 | − | 0.642874i | \(-0.222258\pi\) |
0.980195 | − | 0.198035i | \(-0.0634561\pi\) | |||||||
\(332\) | 1.25080e6 | + | 1.56845e6i | 0.622790 | + | 0.780954i | ||||
\(333\) | 5114.08 | + | 22406.2i | 0.00252730 | + | 0.0110728i | ||||
\(334\) | −2.90134e6 | − | 1.39721e6i | −1.42309 | − | 0.685324i | ||||
\(335\) | 55439.6 | + | 242897.i | 0.0269903 | + | 0.118252i | ||||
\(336\) | 2.73708e6 | − | 1.31811e6i | 1.32263 | − | 0.636945i | ||||
\(337\) | −2.43361e6 | −1.16728 | −0.583641 | − | 0.812012i | \(-0.698372\pi\) | ||||
−0.583641 | + | 0.812012i | \(0.698372\pi\) | |||||||
\(338\) | −586105. | −0.279051 | ||||||||
\(339\) | −2.63130e6 | + | 1.26717e6i | −1.24357 | + | 0.598873i | ||||
\(340\) | 8985.25 | − | 39367.0i | 0.00421534 | − | 0.0184686i | ||||
\(341\) | 68270.7 | − | 85608.8i | 0.0317943 | − | 0.0398687i | ||||
\(342\) | −20663.8 | − | 25911.5i | −0.00955309 | − | 0.0119792i | ||||
\(343\) | 1.53799e6 | 0.705859 | ||||||||
\(344\) | 725925. | − | 1.02813e6i | 0.330747 | − | 0.468439i | ||||
\(345\) | 875539. | 0.396030 | ||||||||
\(346\) | −956340. | − | 1.19921e6i | −0.429459 | − | 0.538525i | ||||
\(347\) | −2.59366e6 | + | 3.25234e6i | −1.15635 | + | 1.45002i | −0.285558 | + | 0.958361i | \(0.592179\pi\) |
−0.870791 | + | 0.491654i | \(0.836392\pi\) | |||||||
\(348\) | 364767. | − | 1.59815e6i | 0.161461 | − | 0.707407i | ||||
\(349\) | −2.16041e6 | + | 1.04040e6i | −0.949450 | + | 0.457231i | −0.843493 | − | 0.537140i | \(-0.819505\pi\) |
−0.105957 | + | 0.994371i | \(0.533790\pi\) | |||||||
\(350\) | 2.25799e6 | 0.985261 | ||||||||
\(351\) | 2.04753e6 | 0.887081 | ||||||||
\(352\) | 337659. | − | 162608.i | 0.145252 | − | 0.0699497i | ||||
\(353\) | −641517. | − | 2.81067e6i | −0.274013 | − | 1.20053i | −0.905230 | − | 0.424923i | \(-0.860301\pi\) |
0.631217 | − | 0.775607i | \(-0.282556\pi\) | |||||||
\(354\) | 3.11759e6 | + | 1.50135e6i | 1.32224 | + | 0.636758i | ||||
\(355\) | −307470. | − | 1.34712e6i | −0.129489 | − | 0.567328i | ||||
\(356\) | −933844. | − | 1.17100e6i | −0.390525 | − | 0.489703i | ||||
\(357\) | 156606. | − | 75417.4i | 0.0650336 | − | 0.0313185i | ||||
\(358\) | −1.45455e6 | − | 1.82395e6i | −0.599820 | − | 0.752150i | ||||
\(359\) | 119597. | − | 523990.i | 0.0489762 | − | 0.214579i | −0.944518 | − | 0.328459i | \(-0.893471\pi\) |
0.993495 | + | 0.113880i | \(0.0363280\pi\) | |||||||
\(360\) | −11434.7 | − | 5506.68i | −0.00465018 | − | 0.00223941i | ||||
\(361\) | 845448. | + | 407146.i | 0.341443 | + | 0.164430i | ||||
\(362\) | 912745. | − | 1.14455e6i | 0.366082 | − | 0.459052i | ||||
\(363\) | −539089. | + | 2.36191e6i | −0.214731 | + | 0.940797i | ||||
\(364\) | 315440. | + | 1.38203e6i | 0.124785 | + | 0.546720i | ||||
\(365\) | −719036. | + | 901643.i | −0.282500 | + | 0.354244i | ||||
\(366\) | 1.00269e6 | − | 1.25733e6i | 0.391259 | − | 0.490623i | ||||
\(367\) | 524050. | + | 2.29601e6i | 0.203099 | + | 0.889834i | 0.969036 | + | 0.246919i | \(0.0794181\pi\) |
−0.765937 | + | 0.642915i | \(0.777725\pi\) | |||||||
\(368\) | −501927. | + | 2.19909e6i | −0.193206 | + | 0.846491i | ||||
\(369\) | −8535.06 | + | 10702.6i | −0.00326318 | + | 0.00409190i | ||||
\(370\) | −1.22320e6 | − | 589062.i | −0.464508 | − | 0.223695i | ||||
\(371\) | 2.24803e6 | + | 1.08259e6i | 0.847945 | + | 0.408349i | ||||
\(372\) | 97662.2 | − | 427886.i | 0.0365906 | − | 0.160314i | ||||
\(373\) | 1.46301e6 | + | 1.83456e6i | 0.544472 | + | 0.682746i | 0.975603 | − | 0.219543i | \(-0.0704566\pi\) |
−0.431131 | + | 0.902289i | \(0.641885\pi\) | |||||||
\(374\) | 30684.8 | − | 14777.0i | 0.0113434 | − | 0.00546271i | ||||
\(375\) | 1.61529e6 | + | 2.02551e6i | 0.593161 | + | 0.743801i | ||||
\(376\) | −408180. | − | 1.78835e6i | −0.148896 | − | 0.652354i | ||||
\(377\) | −2.97794e6 | − | 1.43410e6i | −1.07910 | − | 0.519669i | ||||
\(378\) | 915334. | + | 4.01034e6i | 0.329496 | + | 1.44362i | ||||
\(379\) | 2.76899e6 | − | 1.33347e6i | 0.990200 | − | 0.476855i | 0.132598 | − | 0.991170i | \(-0.457668\pi\) |
0.857601 | + | 0.514315i | \(0.171954\pi\) | |||||||
\(380\) | 684474. | 0.243163 | ||||||||
\(381\) | 4.21733e6 | 1.48842 | ||||||||
\(382\) | −3.08472e6 | + | 1.48552e6i | −1.08158 | + | 0.520860i | ||||
\(383\) | −270745. | + | 1.18621e6i | −0.0943113 | + | 0.413205i | −0.999941 | − | 0.0108645i | \(-0.996542\pi\) |
0.905630 | + | 0.424070i | \(0.139399\pi\) | |||||||
\(384\) | −1.83073e6 | + | 2.29566e6i | −0.633572 | + | 0.794475i | ||||
\(385\) | −204011. | − | 255822.i | −0.0701459 | − | 0.0879601i | ||||
\(386\) | 4.22231e6 | 1.44239 | ||||||||
\(387\) | 30863.6 | + | 34375.8i | 0.0104754 | + | 0.0116674i | ||||
\(388\) | −1.52913e6 | −0.515660 | ||||||||
\(389\) | −3.33817e6 | − | 4.18594e6i | −1.11850 | − | 1.40255i | −0.904898 | − | 0.425629i | \(-0.860053\pi\) |
−0.213599 | − | 0.976921i | \(-0.568519\pi\) | |||||||
\(390\) | −1.16423e6 | + | 1.45990e6i | −0.387596 | + | 0.486030i | ||||
\(391\) | −28718.5 | + | 125824.i | −0.00949992 | + | 0.0416219i | ||||
\(392\) | 635606. | − | 306092.i | 0.208917 | − | 0.100609i | ||||
\(393\) | −1.32875e6 | −0.433973 | ||||||||
\(394\) | 3.11248e6 | 1.01010 | ||||||||
\(395\) | −1.61309e6 | + | 776824.i | −0.520195 | + | 0.250513i | ||||
\(396\) | 967.989 | + | 4241.04i | 0.000310193 | + | 0.00135905i | ||||
\(397\) | −4.27577e6 | − | 2.05910e6i | −1.36156 | − | 0.655695i | −0.396579 | − | 0.918000i | \(-0.629803\pi\) |
−0.964985 | + | 0.262306i | \(0.915517\pi\) | |||||||
\(398\) | 1.30169e6 | + | 5.70306e6i | 0.411907 | + | 1.80468i | ||||
\(399\) | 1.83707e6 | + | 2.30361e6i | 0.577688 | + | 0.724398i | ||||
\(400\) | −2.41366e6 | + | 1.16236e6i | −0.754270 | + | 0.363237i | ||||
\(401\) | −599915. | − | 752270.i | −0.186307 | − | 0.233622i | 0.679903 | − | 0.733302i | \(-0.262022\pi\) |
−0.866210 | + | 0.499681i | \(0.833451\pi\) | |||||||
\(402\) | −187424. | + | 821158.i | −0.0578442 | + | 0.253432i | ||||
\(403\) | −797310. | − | 383964.i | −0.244548 | − | 0.117768i | ||||
\(404\) | −2.63655e6 | − | 1.26970e6i | −0.803679 | − | 0.387032i | ||||
\(405\) | −1.16258e6 | + | 1.45783e6i | −0.352198 | + | 0.441642i | ||||
\(406\) | 1.47760e6 | − | 6.47377e6i | 0.444878 | − | 1.94914i | ||||
\(407\) | −89083.9 | − | 390302.i | −0.0266571 | − | 0.116792i | ||||
\(408\) | −73223.7 | + | 91819.6i | −0.0217772 | + | 0.0273077i | ||||
\(409\) | 3.57872e6 | − | 4.48757e6i | 1.05784 | − | 1.32649i | 0.114954 | − | 0.993371i | \(-0.463328\pi\) |
0.942885 | − | 0.333117i | \(-0.108101\pi\) | |||||||
\(410\) | −179945. | − | 788390.i | −0.0528664 | − | 0.231623i | ||||
\(411\) | 222421. | − | 974492.i | 0.0649489 | − | 0.284560i | ||||
\(412\) | 636057. | − | 797590.i | 0.184609 | − | 0.231492i | ||||
\(413\) | 4.41514e6 | + | 2.12622e6i | 1.27371 | + | 0.613385i | ||||
\(414\) | −42481.5 | − | 20458.0i | −0.0121815 | − | 0.00586628i | ||||
\(415\) | −832760. | + | 3.64856e6i | −0.237356 | + | 1.03992i | ||||
\(416\) | −1.88847e6 | − | 2.36807e6i | −0.535029 | − | 0.670906i | ||||
\(417\) | 421351. | − | 202912.i | 0.118660 | − | 0.0571436i | ||||
\(418\) | 359949. | + | 451362.i | 0.100763 | + | 0.126353i | ||||
\(419\) | 658226. | + | 2.88388e6i | 0.183164 | + | 0.802493i | 0.980112 | + | 0.198445i | \(0.0635893\pi\) |
−0.796948 | + | 0.604048i | \(0.793554\pi\) | |||||||
\(420\) | −1.18164e6 | − | 569047.i | −0.326860 | − | 0.157407i | ||||
\(421\) | 279646. | + | 1.22521e6i | 0.0768960 | + | 0.336904i | 0.998713 | − | 0.0507224i | \(-0.0161524\pi\) |
−0.921817 | + | 0.387626i | \(0.873295\pi\) | |||||||
\(422\) | 7.57901e6 | − | 3.64986e6i | 2.07172 | − | 0.997689i | ||||
\(423\) | 67332.2 | 0.0182967 | ||||||||
\(424\) | −1.68584e6 | −0.455409 | ||||||||
\(425\) | −138101. | + | 66506.1i | −0.0370873 | + | 0.0178603i | ||||
\(426\) | 1.03946e6 | − | 4.55418e6i | 0.277514 | − | 1.21587i | ||||
\(427\) | 1.42001e6 | − | 1.78064e6i | 0.376897 | − | 0.472614i | ||||
\(428\) | −1.56027e6 | − | 1.95652e6i | −0.411709 | − | 0.516267i | ||||
\(429\) | −550620. | −0.144447 | ||||||||
\(430\) | −2.72441e6 | + | 159329.i | −0.710562 | + | 0.0415550i | ||||
\(431\) | −1.62803e6 | −0.422153 | −0.211077 | − | 0.977470i | \(-0.567697\pi\) | ||||
−0.211077 | + | 0.977470i | \(0.567697\pi\) | |||||||
\(432\) | −3.04287e6 | − | 3.81564e6i | −0.784467 | − | 0.983690i | ||||
\(433\) | −2.72533e6 | + | 3.41745e6i | −0.698552 | + | 0.875957i | −0.996914 | − | 0.0784958i | \(-0.974988\pi\) |
0.298362 | + | 0.954453i | \(0.403560\pi\) | |||||||
\(434\) | 395609. | − | 1.73328e6i | 0.100819 | − | 0.441717i | ||||
\(435\) | 2.75516e6 | − | 1.32681e6i | 0.698109 | − | 0.336191i | ||||
\(436\) | −1.27104e6 | −0.320217 | ||||||||
\(437\) | −2.18770e6 | −0.548006 | ||||||||
\(438\) | −3.51266e6 | + | 1.69161e6i | −0.874885 | + | 0.421323i | ||||
\(439\) | 56625.1 | + | 248091.i | 0.0140232 | + | 0.0614398i | 0.981455 | − | 0.191691i | \(-0.0613970\pi\) |
−0.967432 | + | 0.253130i | \(0.918540\pi\) | |||||||
\(440\) | 199186. | + | 95922.8i | 0.0490486 | + | 0.0236206i | ||||
\(441\) | 5762.24 | + | 25246.0i | 0.00141090 | + | 0.00618154i | ||||
\(442\) | −171615. | − | 215199.i | −0.0417831 | − | 0.0523943i | ||||
\(443\) | −1.70340e6 | + | 820312.i | −0.412388 | + | 0.198596i | −0.628562 | − | 0.777759i | \(-0.716356\pi\) |
0.216174 | + | 0.976355i | \(0.430642\pi\) | |||||||
\(444\) | −1.00048e6 | − | 1.25456e6i | −0.240852 | − | 0.302019i | ||||
\(445\) | 621738. | − | 2.72401e6i | 0.148836 | − | 0.652092i | ||||
\(446\) | 5.02165e6 | + | 2.41830e6i | 1.19539 | + | 0.575669i | ||||
\(447\) | −2.25653e6 | − | 1.08669e6i | −0.534162 | − | 0.257239i | ||||
\(448\) | −125163. | + | 156949.i | −0.0294632 | + | 0.0369456i | ||||
\(449\) | 609335. | − | 2.66967e6i | 0.142640 | − | 0.624945i | −0.852176 | − | 0.523255i | \(-0.824718\pi\) |
0.994816 | − | 0.101691i | \(-0.0324252\pi\) | |||||||
\(450\) | −12461.2 | − | 54595.9i | −0.00290086 | − | 0.0127095i | ||||
\(451\) | 148675. | − | 186433.i | 0.0344189 | − | 0.0431600i | ||||
\(452\) | −2.02526e6 | + | 2.53960e6i | −0.466268 | + | 0.584682i | ||||
\(453\) | −1.51047e6 | − | 6.61781e6i | −0.345834 | − | 1.51520i | ||||
\(454\) | 661890. | − | 2.89993e6i | 0.150711 | − | 0.660310i | ||||
\(455\) | −1.64879e6 | + | 2.06752e6i | −0.373369 | + | 0.468189i | ||||
\(456\) | −1.79362e6 | − | 863761.i | −0.403941 | − | 0.194528i | ||||
\(457\) | 3.07243e6 | + | 1.47961e6i | 0.688164 | + | 0.331402i | 0.745078 | − | 0.666977i | \(-0.232412\pi\) |
−0.0569148 | + | 0.998379i | \(0.518126\pi\) | |||||||
\(458\) | −1.65676e6 | + | 7.25872e6i | −0.369058 | + | 1.61695i | ||||
\(459\) | −174103. | − | 218318.i | −0.0385721 | − | 0.0483679i | ||||
\(460\) | 877359. | − | 422514.i | 0.193323 | − | 0.0930993i | ||||
\(461\) | 1.09138e6 | + | 1.36854e6i | 0.239178 | + | 0.299920i | 0.886904 | − | 0.461953i | \(-0.152851\pi\) |
−0.647726 | + | 0.761873i | \(0.724280\pi\) | |||||||
\(462\) | −246150. | − | 1.07846e6i | −0.0536532 | − | 0.235070i | ||||
\(463\) | 2.54620e6 | + | 1.22618e6i | 0.552001 | + | 0.265830i | 0.689024 | − | 0.724738i | \(-0.258039\pi\) |
−0.137023 | + | 0.990568i | \(0.543754\pi\) | |||||||
\(464\) | 1.75308e6 | + | 7.68074e6i | 0.378013 | + | 1.65618i | ||||
\(465\) | 737661. | − | 355239.i | 0.158207 | − | 0.0761883i | ||||
\(466\) | 838786. | 0.178931 | ||||||||
\(467\) | −7.27996e6 | −1.54467 | −0.772337 | − | 0.635213i | \(-0.780912\pi\) | ||||
−0.772337 | + | 0.635213i | \(0.780912\pi\) | |||||||
\(468\) | 31675.4 | − | 15254.1i | 0.00668509 | − | 0.00321937i | ||||
\(469\) | −265431. | + | 1.16293e6i | −0.0557210 | + | 0.244130i | ||||
\(470\) | −2.47995e6 | + | 3.10976e6i | −0.517844 | + | 0.649355i | ||||
\(471\) | −1.58209e6 | − | 1.98388e6i | −0.328608 | − | 0.412062i | ||||
\(472\) | −3.31100e6 | −0.684075 | ||||||||
\(473\) | −537623. | − | 598804.i | −0.110491 | − | 0.123064i | ||||
\(474\) | −6.05277e6 | −1.23740 | ||||||||
\(475\) | −1.62000e6 | − | 2.03142e6i | −0.329444 | − | 0.413109i | ||||
\(476\) | 120537. | − | 151148.i | 0.0243839 | − | 0.0305764i | ||||
\(477\) | 13769.9 | − | 60329.7i | 0.00277098 | − | 0.0121405i | ||||
\(478\) | 1.14205e6 | − | 549984.i | 0.228621 | − | 0.110098i | ||||
\(479\) | 5.08638e6 | 1.01291 | 0.506454 | − | 0.862267i | \(-0.330956\pi\) | ||||
0.506454 | + | 0.862267i | \(0.330956\pi\) | |||||||
\(480\) | 2.80228e6 | 0.555147 | ||||||||
\(481\) | −2.91508e6 | + | 1.40383e6i | −0.574497 | + | 0.276663i | ||||
\(482\) | 2.68413e6 | + | 1.17600e7i | 0.526243 | + | 2.30562i | ||||
\(483\) | 3.77673e6 | + | 1.81878e6i | 0.736629 | + | 0.354742i | ||||
\(484\) | 599588. | + | 2.62697e6i | 0.116343 | + | 0.509731i | ||||
\(485\) | −1.77854e6 | − | 2.23022e6i | −0.343328 | − | 0.430520i | ||||
\(486\) | 182410. | − | 87844.2i | 0.0350315 | − | 0.0168703i | ||||
\(487\) | 358667. | + | 449754.i | 0.0685282 | + | 0.0859316i | 0.814914 | − | 0.579582i | \(-0.196784\pi\) |
−0.746386 | + | 0.665513i | \(0.768213\pi\) | |||||||
\(488\) | −342419. | + | 1.50024e6i | −0.0650891 | + | 0.285174i | ||||
\(489\) | 4.88837e6 | + | 2.35412e6i | 0.924469 | + | 0.445201i | ||||
\(490\) | −1.37823e6 | − | 663720.i | −0.259317 | − | 0.124881i | ||||
\(491\) | 2.52228e6 | − | 3.16284e6i | 0.472160 | − | 0.592070i | −0.487538 | − | 0.873102i | \(-0.662105\pi\) |
0.959699 | + | 0.281031i | \(0.0906765\pi\) | |||||||
\(492\) | 212682. | − | 931821.i | 0.0396112 | − | 0.173548i | ||||
\(493\) | 100305. | + | 439465.i | 0.0185868 | + | 0.0814342i | ||||
\(494\) | 2.90907e6 | − | 3.64785e6i | 0.536335 | − | 0.672543i | ||||
\(495\) | −5059.65 | + | 6344.60i | −0.000928127 | + | 0.00116383i | ||||
\(496\) | 469366. | + | 2.05643e6i | 0.0856659 | + | 0.375327i | ||||
\(497\) | 1.47209e6 | − | 6.44965e6i | 0.267327 | − | 1.17124i | ||||
\(498\) | −7.88830e6 | + | 9.89162e6i | −1.42531 | + | 1.78729i | ||||
\(499\) | 6.86615e6 | + | 3.30656e6i | 1.23442 | + | 0.594464i | 0.933291 | − | 0.359121i | \(-0.116923\pi\) |
0.301126 | + | 0.953584i | \(0.402638\pi\) | |||||||
\(500\) | 2.59611e6 | + | 1.25022e6i | 0.464407 | + | 0.223647i | ||||
\(501\) | 1.57995e6 | − | 6.92220e6i | 0.281221 | − | 1.23211i | ||||
\(502\) | −7.08408e6 | − | 8.88315e6i | −1.25465 | − | 1.57329i | ||||
\(503\) | 4.13679e6 | − | 1.99217e6i | 0.729026 | − | 0.351081i | −0.0322748 | − | 0.999479i | \(-0.510275\pi\) |
0.761301 | + | 0.648398i | \(0.224561\pi\) | |||||||
\(504\) | −37885.8 | − | 47507.3i | −0.00664356 | − | 0.00833076i | ||||
\(505\) | −1.21475e6 | − | 5.32219e6i | −0.211963 | − | 0.928671i | ||||
\(506\) | 740001. | + | 356366.i | 0.128486 | + | 0.0618756i | ||||
\(507\) | −287560. | − | 1.25988e6i | −0.0496832 | − | 0.217676i | ||||
\(508\) | 4.22609e6 | − | 2.03518e6i | 0.726574 | − | 0.349900i | ||||
\(509\) | −4.86437e6 | −0.832209 | −0.416104 | − | 0.909317i | \(-0.636605\pi\) | ||||
−0.416104 | + | 0.909317i | \(0.636605\pi\) | |||||||
\(510\) | 254657. | 0.0433541 | ||||||||
\(511\) | −4.97465e6 | + | 2.39566e6i | −0.842772 | + | 0.405858i | ||||
\(512\) | −661441. | + | 2.89796e6i | −0.111511 | + | 0.488560i | ||||
\(513\) | 2.95123e6 | − | 3.70072e6i | 0.495119 | − | 0.620859i | ||||
\(514\) | 6.18200e6 | + | 7.75199e6i | 1.03210 | + | 1.29421i | ||||
\(515\) | 1.90308e6 | 0.316184 | ||||||||
\(516\) | −2.98288e6 | − | 1.22747e6i | −0.493188 | − | 0.202948i | ||||
\(517\) | −1.17288e6 | −0.192987 | ||||||||
\(518\) | −4.05273e6 | − | 5.08197e6i | −0.663626 | − | 0.832161i | ||||
\(519\) | 2.10860e6 | − | 2.64411e6i | 0.343619 | − | 0.430884i | ||||
\(520\) | 397587. | − | 1.74194e6i | 0.0644798 | − | 0.282504i | ||||
\(521\) | 1.11155e6 | − | 535294.i | 0.179405 | − | 0.0863968i | −0.342025 | − | 0.939691i | \(-0.611113\pi\) |
0.521430 | + | 0.853294i | \(0.325399\pi\) | |||||||
\(522\) | −164684. | −0.0264530 | ||||||||
\(523\) | 7.57480e6 | 1.21092 | 0.605462 | − | 0.795874i | \(-0.292988\pi\) | ||||
0.605462 | + | 0.795874i | \(0.292988\pi\) | |||||||
\(524\) | −1.33151e6 | + | 641223.i | −0.211845 | + | 0.102019i | ||||
\(525\) | 1.10783e6 | + | 4.85374e6i | 0.175419 | + | 0.768561i | ||||
\(526\) | 1.29040e7 | + | 6.21423e6i | 2.03357 | + | 0.979316i | ||||
\(527\) | 26855.5 | + | 117662.i | 0.00421218 | + | 0.0184548i | ||||
\(528\) | 818285. | + | 1.02610e6i | 0.127738 | + | 0.160178i | ||||
\(529\) | 2.99475e6 | − | 1.44219e6i | 0.465287 | − | 0.224070i | ||||
\(530\) | 2.27918e6 | + | 2.85801e6i | 0.352444 | + | 0.441951i | ||||
\(531\) | 27044.1 | − | 118488.i | 0.00416232 | − | 0.0182363i | ||||
\(532\) | 2.95256e6 | + | 1.42188e6i | 0.452292 | + | 0.217812i | ||||
\(533\) | −1.73633e6 | − | 836171.i | −0.264736 | − | 0.127490i | ||||
\(534\) | 5.88940e6 | − | 7.38507e6i | 0.893754 | − | 1.12073i | ||||
\(535\) | 1.03880e6 | − | 4.55129e6i | 0.156909 | − | 0.687464i | ||||
\(536\) | −179339. | − | 785736.i | −0.0269627 | − | 0.118131i | ||||
\(537\) | 3.20709e6 | − | 4.02156e6i | 0.479927 | − | 0.601809i | ||||
\(538\) | 4.86927e6 | − | 6.10588e6i | 0.725285 | − | 0.909478i | ||||
\(539\) | −100375. | − | 439769.i | −0.0148817 | − | 0.0652008i | ||||
\(540\) | −468839. | + | 2.05412e6i | −0.0691893 | + | 0.303138i | ||||
\(541\) | −1.39498e6 | + | 1.74925e6i | −0.204915 | + | 0.256956i | −0.873661 | − | 0.486536i | \(-0.838260\pi\) |
0.668745 | + | 0.743492i | \(0.266832\pi\) | |||||||
\(542\) | 1.70306e6 | + | 820152.i | 0.249019 | + | 0.119921i | ||||
\(543\) | 2.90812e6 | + | 1.40048e6i | 0.423265 | + | 0.203834i | ||||
\(544\) | −91917.3 | + | 402716.i | −0.0133168 | + | 0.0583447i | ||||
\(545\) | −1.47836e6 | − | 1.85381e6i | −0.213201 | − | 0.267346i | ||||
\(546\) | −8.05475e6 | + | 3.87896e6i | −1.15630 | + | 0.556845i | ||||
\(547\) | 5.81508e6 | + | 7.29188e6i | 0.830974 | + | 1.04201i | 0.998424 | + | 0.0561283i | \(0.0178756\pi\) |
−0.167449 | + | 0.985881i | \(0.553553\pi\) | |||||||
\(548\) | −247382. | − | 1.08385e6i | −0.0351898 | − | 0.154177i | ||||
\(549\) | −50890.8 | − | 24507.7i | −0.00720624 | − | 0.00347034i | ||||
\(550\) | 217065. | + | 951025.i | 0.0305973 | + | 0.134056i | ||||
\(551\) | −6.88429e6 | + | 3.31530e6i | −0.966007 | + | 0.465204i | ||||
\(552\) | −2.83224e6 | −0.395624 | ||||||||
\(553\) | −8.57196e6 | −1.19198 | ||||||||
\(554\) | −1.17112e7 | + | 5.63983e6i | −1.62117 | + | 0.780713i | ||||
\(555\) | 666103. | − | 2.91839e6i | 0.0917928 | − | 0.402171i | ||||
\(556\) | 324307. | − | 406668.i | 0.0444907 | − | 0.0557895i | ||||
\(557\) | 3.25674e6 | + | 4.08382e6i | 0.444780 | + | 0.557736i | 0.952796 | − | 0.303611i | \(-0.0981925\pi\) |
−0.508016 | + | 0.861347i | \(0.669621\pi\) | |||||||
\(558\) | −44092.2 | −0.00599482 | ||||||||
\(559\) | −3.75127e6 | + | 5.31295e6i | −0.507749 | + | 0.719128i | ||||
\(560\) | 6.30319e6 | 0.849357 | ||||||||
\(561\) | 46819.4 | + | 58709.7i | 0.00628086 | + | 0.00787595i | ||||
\(562\) | 3.34111e6 | − | 4.18962e6i | 0.446221 | − | 0.559544i | ||||
\(563\) | 1.30395e6 | − | 5.71300e6i | 0.173377 | − | 0.759614i | −0.811215 | − | 0.584748i | \(-0.801193\pi\) |
0.984592 | − | 0.174866i | \(-0.0559494\pi\) | |||||||
\(564\) | −4.23560e6 | + | 2.03976e6i | −0.560683 | + | 0.270011i | ||||
\(565\) | −6.05960e6 | −0.798588 | ||||||||
\(566\) | −3.94944e6 | −0.518197 | ||||||||
\(567\) | −8.04333e6 | + | 3.87346e6i | −1.05070 | + | 0.505990i | ||||
\(568\) | 994623. | + | 4.35773e6i | 0.129356 | + | 0.566747i | ||||
\(569\) | −2.31521e6 | − | 1.11494e6i | −0.299784 | − | 0.144369i | 0.277945 | − | 0.960597i | \(-0.410347\pi\) |
−0.577729 | + | 0.816228i | \(0.696061\pi\) | |||||||
\(570\) | 960560. | + | 4.20849e6i | 0.123833 | + | 0.542549i | ||||
\(571\) | 729588. | + | 914875.i | 0.0936456 | + | 0.117428i | 0.826447 | − | 0.563015i | \(-0.190359\pi\) |
−0.732801 | + | 0.680443i | \(0.761787\pi\) | |||||||
\(572\) | −551765. | + | 265716.i | −0.0705121 | + | 0.0339568i | ||||
\(573\) | −4.70671e6 | − | 5.90203e6i | −0.598868 | − | 0.750957i | ||||
\(574\) | 861530. | − | 3.77461e6i | 0.109142 | − | 0.478181i | ||||
\(575\) | −3.33048e6 | − | 1.60387e6i | −0.420084 | − | 0.202302i | ||||
\(576\) | 4485.61 | + | 2160.15i | 0.000563333 | + | 0.000271287i | ||||
\(577\) | 519474. | − | 651400.i | 0.0649568 | − | 0.0814532i | −0.748292 | − | 0.663370i | \(-0.769126\pi\) |
0.813248 | + | 0.581917i | \(0.197697\pi\) | |||||||
\(578\) | 2.20782e6 | − | 9.67310e6i | 0.274881 | − | 1.20433i | ||||
\(579\) | 2.07159e6 | + | 9.07623e6i | 0.256807 | + | 1.12515i | ||||
\(580\) | 2.12060e6 | − | 2.65914e6i | 0.261751 | − | 0.328225i | ||||
\(581\) | −1.11714e7 | + | 1.40085e7i | −1.37300 | + | 1.72168i | ||||
\(582\) | −2.14590e6 | − | 9.40182e6i | −0.262605 | − | 1.15055i | ||||
\(583\) | −239862. | + | 1.05090e6i | −0.0292274 | + | 0.128054i | ||||
\(584\) | 2.32598e6 | − | 2.91669e6i | 0.282211 | − | 0.353881i | ||||
\(585\) | 59089.9 | + | 28456.2i | 0.00713877 | + | 0.00343785i | ||||
\(586\) | −8.05172e6 | − | 3.87750e6i | −0.968601 | − | 0.466453i | ||||
\(587\) | 1.42334e6 | − | 6.23604e6i | 0.170495 | − | 0.746988i | −0.815300 | − | 0.579038i | \(-0.803428\pi\) |
0.985796 | − | 0.167950i | \(-0.0537146\pi\) | |||||||
\(588\) | −1.12728e6 | − | 1.41357e6i | −0.134459 | − | 0.168606i | ||||
\(589\) | −1.84319e6 | + | 887633.i | −0.218918 | + | 0.105425i | ||||
\(590\) | 4.47632e6 | + | 5.61313e6i | 0.529409 | + | 0.663858i | ||||
\(591\) | 1.52707e6 | + | 6.69054e6i | 0.179842 | + | 0.787939i | ||||
\(592\) | 6.94823e6 | + | 3.34609e6i | 0.814835 | + | 0.392404i | ||||
\(593\) | −1.24010e6 | − | 5.43325e6i | −0.144818 | − | 0.634487i | −0.994277 | − | 0.106833i | \(-0.965929\pi\) |
0.849459 | − | 0.527654i | \(-0.176928\pi\) | |||||||
\(594\) | −1.60109e6 | + | 771047.i | −0.186188 | + | 0.0896632i | ||||
\(595\) | 360647. | 0.0417628 | ||||||||
\(596\) | −2.78564e6 | −0.321225 | ||||||||
\(597\) | −1.16206e7 | + | 5.59618e6i | −1.33442 | + | 0.642622i | ||||
\(598\) | 1.47709e6 | − | 6.47153e6i | 0.168909 | − | 0.740038i | ||||
\(599\) | −2.49652e6 | + | 3.13053e6i | −0.284294 | + | 0.356493i | −0.903388 | − | 0.428823i | \(-0.858928\pi\) |
0.619094 | + | 0.785317i | \(0.287500\pi\) | |||||||
\(600\) | −2.09728e6 | − | 2.62991e6i | −0.237837 | − | 0.298238i | ||||
\(601\) | −4.27870e6 | −0.483198 | −0.241599 | − | 0.970376i | \(-0.577672\pi\) | ||||
−0.241599 | + | 0.970376i | \(0.577672\pi\) | |||||||
\(602\) | −1.20830e7 | − | 4.97221e6i | −1.35889 | − | 0.559188i | ||||
\(603\) | 29583.3 | 0.00331324 | ||||||||
\(604\) | −4.70721e6 | − | 5.90265e6i | −0.525014 | − | 0.658347i | ||||
\(605\) | −3.13403e6 | + | 3.92995e6i | −0.348108 | + | 0.436514i | ||||
\(606\) | 4.10671e6 | − | 1.79927e7i | 0.454268 | − | 1.99028i | ||||
\(607\) | −2.03756e6 | + | 981239.i | −0.224460 | + | 0.108094i | −0.542735 | − | 0.839904i | \(-0.682611\pi\) |
0.318274 | + | 0.947999i | \(0.396897\pi\) | |||||||
\(608\) | −7.00203e6 | −0.768184 | ||||||||
\(609\) | 1.46409e7 | 1.59965 | ||||||||
\(610\) | 3.00629e6 | − | 1.44775e6i | 0.327119 | − | 0.157532i | ||||
\(611\) | 2.10930e6 | + | 9.24144e6i | 0.228578 | + | 1.00147i | ||||
\(612\) | −4319.83 | − | 2080.32i | −0.000466217 | − | 0.000224518i | ||||
\(613\) | −1.20973e6 | − | 5.30017e6i | −0.130028 | − | 0.569690i | −0.997402 | − | 0.0720335i | \(-0.977051\pi\) |
0.867374 | − | 0.497657i | \(-0.165806\pi\) | |||||||
\(614\) | −5.59141e6 | − | 7.01141e6i | −0.598550 | − | 0.750558i | ||||
\(615\) | 1.60643e6 | − | 773615.i | 0.171267 | − | 0.0824778i | ||||
\(616\) | 659947. | + | 827547.i | 0.0700740 | + | 0.0878701i | ||||
\(617\) | −1.05154e6 | + | 4.60709e6i | −0.111202 | + | 0.487207i | 0.888402 | + | 0.459066i | \(0.151816\pi\) |
−0.999604 | + | 0.0281409i | \(0.991041\pi\) | |||||||
\(618\) | 5.79659e6 | + | 2.79149e6i | 0.610522 | + | 0.294012i | ||||
\(619\) | −4.48655e6 | − | 2.16061e6i | −0.470637 | − | 0.226647i | 0.183505 | − | 0.983019i | \(-0.441256\pi\) |
−0.654142 | + | 0.756372i | \(0.726970\pi\) | |||||||
\(620\) | 567765. | − | 711955.i | 0.0593184 | − | 0.0743829i | ||||
\(621\) | 1.49849e6 | − | 6.56533e6i | 0.155929 | − | 0.683168i | ||||
\(622\) | 411676. | + | 1.80367e6i | 0.0426657 | + | 0.186931i | ||||
\(623\) | 8.34059e6 | − | 1.04588e7i | 0.860947 | − | 1.07959i | ||||
\(624\) | 6.61328e6 | − | 8.29280e6i | 0.679917 | − | 0.852589i | ||||
\(625\) | −260904. | − | 1.14310e6i | −0.0267166 | − | 0.117053i | ||||
\(626\) | −4.20936e6 | + | 1.84424e7i | −0.429319 | + | 1.88097i | ||||
\(627\) | −793640. | + | 995194.i | −0.0806222 | + | 0.101097i | ||||
\(628\) | −2.54275e6 | − | 1.22452e6i | −0.257279 | − | 0.123899i | ||||
\(629\) | 397553. | + | 191452.i | 0.0400653 | + | 0.0192945i | ||||
\(630\) | −29319.2 | + | 128456.i | −0.00294307 | + | 0.0128944i | ||||
\(631\) | −8.27192e6 | − | 1.03727e7i | −0.827053 | − | 1.03709i | −0.998651 | − | 0.0519243i | \(-0.983465\pi\) |
0.171598 | − | 0.985167i | \(-0.445107\pi\) | |||||||
\(632\) | 5.21812e6 | − | 2.51291e6i | 0.519662 | − | 0.250256i | ||||
\(633\) | 1.15642e7 | + | 1.45010e7i | 1.14711 | + | 1.43843i | ||||
\(634\) | 4.20270e6 | + | 1.84132e7i | 0.415246 | + | 1.81931i | ||||
\(635\) | 7.88371e6 | + | 3.79659e6i | 0.775883 | + | 0.373645i | ||||
\(636\) | 961418. | + | 4.21225e6i | 0.0942475 | + | 0.412925i | ||||
\(637\) | −3.28454e6 | + | 1.58175e6i | −0.320720 | + | 0.154451i | ||||
\(638\) | 2.86869e6 | 0.279017 | ||||||||
\(639\) | −164070. | −0.0158956 | ||||||||
\(640\) | −5.48894e6 | + | 2.64333e6i | −0.529710 | + | 0.255095i | ||||
\(641\) | 2.22437e6 | − | 9.74558e6i | 0.213826 | − | 0.936834i | −0.748113 | − | 0.663571i | \(-0.769040\pi\) |
0.961939 | − | 0.273263i | \(-0.0881029\pi\) | |||||||
\(642\) | 9.84004e6 | − | 1.23390e7i | 0.942235 | − | 1.18153i | ||||
\(643\) | 9.04564e6 | + | 1.13429e7i | 0.862803 | + | 1.08192i | 0.995868 | + | 0.0908139i | \(0.0289469\pi\) |
−0.133064 | + | 0.991107i | \(0.542482\pi\) | |||||||
\(644\) | 4.66228e6 | 0.442980 | ||||||||
\(645\) | −1.67917e6 | − | 5.77819e6i | −0.158926 | − | 0.546881i | ||||
\(646\) | −636310. | −0.0599912 | ||||||||
\(647\) | 1.06835e7 | + | 1.33966e7i | 1.00335 | + | 1.25816i | 0.965916 | + | 0.258857i | \(0.0833459\pi\) |
0.0374306 | + | 0.999299i | \(0.488083\pi\) | |||||||
\(648\) | 3.76079e6 | − | 4.71589e6i | 0.351837 | − | 0.441190i | ||||
\(649\) | −471090. | + | 2.06398e6i | −0.0439028 | + | 0.192351i | ||||
\(650\) | 7.10300e6 | − | 3.42062e6i | 0.659414 | − | 0.317557i | ||||
\(651\) | 3.91993e6 | 0.362515 | ||||||||
\(652\) | 6.03458e6 | 0.555940 | ||||||||
\(653\) | −1.28316e7 | + | 6.17938e6i | −1.17760 | + | 0.567103i | −0.917212 | − | 0.398400i | \(-0.869566\pi\) |
−0.260390 | + | 0.965503i | \(0.583851\pi\) | |||||||
\(654\) | −1.78373e6 | − | 7.81501e6i | −0.163074 | − | 0.714472i | ||||
\(655\) | −2.48392e6 | − | 1.19619e6i | −0.226221 | − | 0.108942i | ||||
\(656\) | 1.02215e6 | + | 4.47835e6i | 0.0927378 | + | 0.406311i | ||||
\(657\) | 85378.4 | + | 107061.i | 0.00771676 | + | 0.00967651i | ||||
\(658\) | −1.71575e7 | + | 8.26263e6i | −1.54486 | + | 0.743967i | ||||
\(659\) | −4.77485e6 | − | 5.98747e6i | −0.428298 | − | 0.537069i | 0.520119 | − | 0.854094i | \(-0.325888\pi\) |
−0.948417 | + | 0.317025i | \(0.897316\pi\) | |||||||
\(660\) | 126079. | − | 552390.i | 0.0112664 | − | 0.0493612i | ||||
\(661\) | 1.80113e7 | + | 8.67379e6i | 1.60340 | + | 0.772157i | 0.999686 | − | 0.0250450i | \(-0.00797291\pi\) |
0.603713 | + | 0.797202i | \(0.293687\pi\) | |||||||
\(662\) | 2.44143e7 | + | 1.17573e7i | 2.16521 | + | 1.04271i | ||||
\(663\) | 378389. | − | 474485.i | 0.0334314 | − | 0.0419217i | ||||
\(664\) | 2.69386e6 | − | 1.18026e7i | 0.237113 | − | 1.03886i | ||||
\(665\) | 1.36035e6 | + | 5.96008e6i | 0.119288 | + | 0.522634i | ||||
\(666\) | −100511. | + | 126037.i | −0.00878069 | + | 0.0110106i | ||||
\(667\) | −6.77781e6 | + | 8.49910e6i | −0.589895 | + | 0.739705i | ||||
\(668\) | −1.75725e6 | − | 7.69903e6i | −0.152368 | − | 0.667567i | ||||
\(669\) | −2.73457e6 | + | 1.19810e7i | −0.236224 | + | 1.03497i | ||||
\(670\) | −1.08960e6 | + | 1.36631e6i | −0.0937734 | + | 0.117588i | ||||
\(671\) | 886485. | + | 426909.i | 0.0760090 | + | 0.0366040i | ||||
\(672\) | 1.20879e7 | + | 5.82124e6i | 1.03259 | + | 0.497270i | ||||
\(673\) | 1.80414e6 | − | 7.90444e6i | 0.153544 | − | 0.672719i | −0.838295 | − | 0.545217i | \(-0.816447\pi\) |
0.991838 | − | 0.127501i | \(-0.0406957\pi\) | |||||||
\(674\) | −1.06431e7 | − | 1.33460e7i | −0.902440 | − | 1.13162i | ||||
\(675\) | 7.20595e6 | − | 3.47020e6i | 0.608740 | − | 0.293154i | ||||
\(676\) | −896148. | − | 1.12373e6i | −0.0754246 | − | 0.0945794i | ||||
\(677\) | −181120. | − | 793540.i | −0.0151878 | − | 0.0665422i | 0.966766 | − | 0.255662i | \(-0.0822936\pi\) |
−0.981954 | + | 0.189120i | \(0.939436\pi\) | |||||||
\(678\) | −1.84569e7 | − | 8.88837e6i | −1.54200 | − | 0.742588i | ||||
\(679\) | −3.03904e6 | − | 1.33149e7i | −0.252966 | − | 1.10832i | ||||
\(680\) | −219541. | + | 105725.i | −0.0182072 | + | 0.00876813i | ||||
\(681\) | 6.55839e6 | 0.541913 | ||||||||
\(682\) | 768058. | 0.0632314 | ||||||||
\(683\) | 1.05087e7 | − | 5.06072e6i | 0.861979 | − | 0.415107i | 0.0499692 | − | 0.998751i | \(-0.484088\pi\) |
0.812010 | + | 0.583643i | \(0.198373\pi\) | |||||||
\(684\) | 18085.3 | − | 79236.8i | 0.00147804 | − | 0.00647570i | ||||
\(685\) | 1.29306e6 | − | 1.62144e6i | 0.105291 | − | 0.132031i | ||||
\(686\) | 6.72622e6 | + | 8.43441e6i | 0.545708 | + | 0.684297i | ||||
\(687\) | −1.64161e7 | −1.32702 | ||||||||
\(688\) | 1.54757e7 | − | 905048.i | 1.24646 | − | 0.0728955i | ||||
\(689\) | 8.71171e6 | 0.699126 | ||||||||
\(690\) | 3.82907e6 | + | 4.80150e6i | 0.306176 | + | 0.383932i | ||||
\(691\) | −8.86447e6 | + | 1.11157e7i | −0.706248 | + | 0.885607i | −0.997473 | − | 0.0710473i | \(-0.977366\pi\) |
0.291225 | + | 0.956655i | \(0.405937\pi\) | |||||||
\(692\) | 837006. | − | 3.66716e6i | 0.0664452 | − | 0.291115i | ||||
\(693\) | −35005.1 | + | 16857.6i | −0.00276885 | + | 0.00133341i | ||||
\(694\) | −2.91791e7 | −2.29971 | ||||||||
\(695\) | 970326. | 0.0762001 | ||||||||
\(696\) | −8.91253e6 | + | 4.29205e6i | −0.697394 | + | 0.335847i | ||||
\(697\) | 58484.1 | + | 256235.i | 0.00455990 | + | 0.0199782i | ||||
\(698\) | −1.51539e7 | − | 7.29773e6i | −1.17730 | − | 0.566956i | ||||
\(699\) | 411533. | + | 1.80304e6i | 0.0318575 | + | 0.139577i | ||||
\(700\) | 3.45243e6 | + | 4.32922e6i | 0.266306 | + | 0.333937i | ||||
\(701\) | −5.53263e6 | + | 2.66438e6i | −0.425243 | + | 0.204786i | −0.634250 | − | 0.773128i | \(-0.718691\pi\) |
0.209007 | + | 0.977914i | \(0.432977\pi\) | |||||||
\(702\) | 8.95466e6 | + | 1.12288e7i | 0.685814 | + | 0.859983i | ||||
\(703\) | −1.66439e6 | + | 7.29215e6i | −0.127018 | + | 0.556503i | ||||
\(704\) | −78136.4 | − | 37628.5i | −0.00594185 | − | 0.00286144i | ||||
\(705\) | −7.90144e6 | − | 3.80513e6i | −0.598733 | − | 0.288335i | ||||
\(706\) | 1.26083e7 | − | 1.58103e7i | 0.952014 | − | 1.19379i | ||||
\(707\) | 5.81594e6 | − | 2.54813e7i | 0.437594 | − | 1.91722i | ||||
\(708\) | 1.88823e6 | + | 8.27287e6i | 0.141570 | + | 0.620259i | ||||
\(709\) | −1.14138e7 | + | 1.43125e7i | −0.852736 | + | 1.06930i | 0.144080 | + | 0.989566i | \(0.453978\pi\) |
−0.996816 | + | 0.0797312i | \(0.974594\pi\) | |||||||
\(710\) | 6.04297e6 | − | 7.57765e6i | 0.449888 | − | 0.564142i | ||||
\(711\) | 47306.1 | + | 207262.i | 0.00350949 | + | 0.0153761i | ||||
\(712\) | −2.01123e6 | + | 8.81178e6i | −0.148683 | + | 0.651424i | ||||
\(713\) | −1.81468e6 | + | 2.27554e6i | −0.133683 | + | 0.167633i | ||||
\(714\) | 1.09849e6 | + | 529006.i | 0.0806402 | + | 0.0388343i | ||||
\(715\) | −1.02931e6 | − | 495688.i | −0.0752974 | − | 0.0362613i | ||||
\(716\) | 1.27305e6 | − | 5.57758e6i | 0.0928030 | − | 0.406596i | ||||
\(717\) | 1.74256e6 | + | 2.18510e6i | 0.126587 | + | 0.158736i | ||||
\(718\) | 3.39663e6 | − | 1.63573e6i | 0.245888 | − | 0.118413i | ||||
\(719\) | 1.17843e6 | + | 1.47770e6i | 0.0850122 | + | 0.106602i | 0.822519 | − | 0.568738i | \(-0.192568\pi\) |
−0.737506 | + | 0.675340i | \(0.763997\pi\) | |||||||
\(720\) | −34785.5 | − | 152405.i | −0.00250073 | − | 0.0109564i | ||||
\(721\) | 8.20916e6 | + | 3.95332e6i | 0.588112 | + | 0.283220i | ||||
\(722\) | 1.46466e6 | + | 6.41709e6i | 0.104567 | + | 0.458137i | ||||
\(723\) | −2.39621e7 | + | 1.15396e7i | −1.70483 | + | 0.821001i | ||||
\(724\) | 3.59000e6 | 0.254536 | ||||||||
\(725\) | −1.29109e7 | −0.912247 | ||||||||
\(726\) | −1.53105e7 | + | 7.37313e6i | −1.07807 | + | 0.519171i | ||||
\(727\) | 4.15051e6 | − | 1.81846e7i | 0.291250 | − | 1.27605i | −0.591538 | − | 0.806277i | \(-0.701479\pi\) |
0.882788 | − | 0.469772i | \(-0.155664\pi\) | |||||||
\(728\) | 5.33361e6 | − | 6.68814e6i | 0.372986 | − | 0.467710i | ||||
\(729\) | 9.08224e6 | + | 1.13888e7i | 0.632957 | + | 0.793703i | ||||
\(730\) | −8.08928e6 | −0.561827 | ||||||||
\(731\) | 885464. | − | 51783.7i | 0.0612883 | − | 0.00358426i | ||||
\(732\) | 3.94378e6 | 0.272041 | ||||||||
\(733\) | −7.55992e6 | − | 9.47984e6i | −0.519706 | − | 0.651690i | 0.450841 | − | 0.892604i | \(-0.351124\pi\) |
−0.970546 | + | 0.240914i | \(0.922553\pi\) | |||||||
\(734\) | −1.02996e7 | + | 1.29153e7i | −0.705634 | + | 0.884837i | ||||
\(735\) | 750525. | − | 3.28827e6i | 0.0512445 | − | 0.224517i | ||||
\(736\) | −8.97521e6 | + | 4.32223e6i | −0.610731 | + | 0.294112i | ||||
\(737\) | −515322. | −0.0349470 | ||||||||
\(738\) | −96021.0 | −0.00648971 | ||||||||
\(739\) | 5.59947e6 | − | 2.69656e6i | 0.377169 | − | 0.181635i | −0.235688 | − | 0.971829i | \(-0.575734\pi\) |
0.612857 | + | 0.790194i | \(0.290020\pi\) | |||||||
\(740\) | −740855. | − | 3.24590e6i | −0.0497341 | − | 0.217899i | ||||
\(741\) | 9.26865e6 | + | 4.46355e6i | 0.620113 | + | 0.298631i | ||||
\(742\) | 3.89450e6 | + | 1.70629e7i | 0.259682 | + | 1.13774i | ||||
\(743\) | −2.10927e6 | − | 2.64494e6i | −0.140171 | − | 0.175769i | 0.706791 | − | 0.707423i | \(-0.250142\pi\) |
−0.846962 | + | 0.531653i | \(0.821571\pi\) | |||||||
\(744\) | −2.38623e6 | + | 1.14915e6i | −0.158045 | + | 0.0761103i | ||||
\(745\) | −3.24000e6 | − | 4.06283e6i | −0.213872 | − | 0.268187i | ||||
\(746\) | −3.66250e6 | + | 1.60465e7i | −0.240952 | + | 1.05568i | ||||
\(747\) | 400365. | + | 192806.i | 0.0262515 | + | 0.0126421i | ||||
\(748\) | 75248.6 | + | 36237.8i | 0.00491750 | + | 0.00236814i | ||||
\(749\) | 1.39355e7 | − | 1.74746e7i | 0.907649 | − | 1.13816i | ||||
\(750\) | −4.04372e6 | + | 1.77167e7i | −0.262499 | + | 1.15008i | ||||
\(751\) | −576145. | − | 2.52426e6i | −0.0372762 | − | 0.163318i | 0.952864 | − | 0.303398i | \(-0.0981211\pi\) |
−0.990140 | + | 0.140080i | \(0.955264\pi\) | |||||||
\(752\) | 1.40870e7 | − | 1.76646e7i | 0.908396 | − | 1.13909i | ||||
\(753\) | 1.56195e7 | − | 1.95862e7i | 1.00387 | − | 1.25882i | ||||
\(754\) | −5.15901e6 | − | 2.26031e7i | −0.330475 | − | 1.44790i | ||||
\(755\) | 3.13398e6 | − | 1.37309e7i | 0.200092 | − | 0.876658i | ||||
\(756\) | −6.28945e6 | + | 7.88673e6i | −0.400229 | + | 0.501871i | ||||
\(757\) | −2.07220e7 | − | 9.97920e6i | −1.31429 | − | 0.632931i | −0.360323 | − | 0.932828i | \(-0.617333\pi\) |
−0.953972 | + | 0.299897i | \(0.903048\pi\) | |||||||
\(758\) | 1.94227e7 | + | 9.35348e6i | 1.22782 | + | 0.591289i | ||||
\(759\) | −402973. | + | 1.76554e6i | −0.0253905 | + | 0.111243i | ||||
\(760\) | −2.57533e6 | − | 3.22936e6i | −0.161733 | − | 0.202807i | ||||
\(761\) | −1.42046e6 | + | 684059.i | −0.0889137 | + | 0.0428186i | −0.477812 | − | 0.878462i | \(-0.658570\pi\) |
0.388898 | + | 0.921281i | \(0.372856\pi\) | |||||||
\(762\) | 1.84440e7 | + | 2.31281e7i | 1.15072 | + | 1.44295i | ||||
\(763\) | −2.52612e6 | − | 1.10677e7i | −0.157088 | − | 0.688247i | ||||
\(764\) | −7.56468e6 | − | 3.64296e6i | −0.468875 | − | 0.225798i | ||||
\(765\) | −1990.30 | − | 8720.08i | −0.000122960 | − | 0.000538725i | ||||
\(766\) | −7.68933e6 | + | 3.70299e6i | −0.473496 | + | 0.228024i | ||||
\(767\) | 1.71098e7 | 1.05016 | ||||||||
\(768\) | −1.99494e7 | −1.22047 | ||||||||
\(769\) | 1.56664e7 | − | 7.54455e6i | 0.955331 | − | 0.460063i | 0.109779 | − | 0.993956i | \(-0.464986\pi\) |
0.845552 | + | 0.533893i | \(0.179271\pi\) | |||||||
\(770\) | 510721. | − | 2.23762e6i | 0.0310425 | − | 0.136006i | ||||
\(771\) | −1.36305e7 | + | 1.70921e7i | −0.825802 | + | 1.03552i | ||||
\(772\) | 6.45586e6 | + | 8.09540e6i | 0.389862 | + | 0.488872i | ||||
\(773\) | −4.75557e6 | −0.286255 | −0.143128 | − | 0.989704i | \(-0.545716\pi\) | ||||
−0.143128 | + | 0.989704i | \(0.545716\pi\) | |||||||
\(774\) | −53540.5 | + | 319596.i | −0.00321240 | + | 0.0191756i | ||||
\(775\) | −3.45675e6 | −0.206735 | ||||||||
\(776\) | 5.75332e6 | + | 7.21444e6i | 0.342977 | + | 0.430079i | ||||
\(777\) | 8.93574e6 | − | 1.12051e7i | 0.530980 | − | 0.665828i | ||||
\(778\) | 8.35678e6 | − | 3.66134e7i | 0.494983 | − | 2.16866i | ||||
\(779\) | −4.01397e6 | + | 1.93303e6i | −0.236990 | + | 0.114128i | ||||
\(780\) | −4.57916e6 | −0.269494 | ||||||||
\(781\) | 2.85800e6 | 0.167662 | ||||||||
\(782\) | −815623. | + | 392783.i | −0.0476950 | + | 0.0229687i | ||||
\(783\) | −5.23378e6 | − | 2.29307e7i | −0.305078 | − | 1.33664i | ||||
\(784\) | 7.82885e6 | + | 3.77018e6i | 0.454892 | + | 0.219064i | ||||
\(785\) | −1.17154e6 | − | 5.13283e6i | −0.0678549 | − | 0.297292i | ||||
\(786\) | −5.81115e6 | − | 7.28695e6i | −0.335510 | − | 0.420716i | ||||
\(787\) | −8.50926e6 | + | 4.09784e6i | −0.489728 | + | 0.235841i | −0.662416 | − | 0.749136i | \(-0.730469\pi\) |
0.172688 | + | 0.984977i | \(0.444755\pi\) | |||||||
\(788\) | 4.75894e6 | + | 5.96752e6i | 0.273020 | + | 0.342357i | ||||
\(789\) | −7.02695e6 | + | 3.07871e7i | −0.401860 | + | 1.76066i | ||||
\(790\) | −1.13148e7 | − | 5.44893e6i | −0.645030 | − | 0.310630i | ||||
\(791\) | −2.61387e7 | − | 1.25878e7i | −1.48540 | − | 0.715331i | ||||
\(792\) | 16367.2 | − | 20523.9i | 0.000927176 | − | 0.00116264i | ||||
\(793\) | 1.76948e6 | − | 7.75258e6i | 0.0999222 | − | 0.437788i | ||||
\(794\) | −7.40737e6 | − | 3.24538e7i | −0.416978 | − | 1.82690i | ||||
\(795\) | −5.02530e6 | + | 6.30153e6i | −0.281997 | + | 0.353613i | ||||
\(796\) | −8.94416e6 | + | 1.12156e7i | −0.500331 | + | 0.627395i | ||||
\(797\) | −4.91130e6 | − | 2.15178e7i | −0.273874 | − | 1.19992i | −0.905398 | − | 0.424563i | \(-0.860428\pi\) |
0.631525 | − | 0.775356i | \(-0.282429\pi\) | |||||||
\(798\) | −4.59892e6 | + | 2.01492e7i | −0.255652 | + | 1.12008i | ||||
\(799\) | 806012. | − | 1.01071e6i | 0.0446657 | − | 0.0560090i | ||||
\(800\) | −1.06596e7 | − | 5.13340e6i | −0.588866 | − | 0.283583i | ||||
\(801\) | −298912. | − | 143948.i | −0.0164612 | − | 0.00792731i | ||||
\(802\) | 1.50183e6 | − | 6.57994e6i | 0.0824488 | − | 0.361232i | ||||
\(803\) | −1.48724e6 | − | 1.86494e6i | −0.0813938 | − | 0.102065i | ||||
\(804\) | −1.86097e6 | + | 896195.i | −0.101531 | + | 0.0488947i | ||||
\(805\) | 5.42275e6 | + | 6.79991e6i | 0.294937 | + | 0.369840i | ||||
\(806\) | −1.38127e6 | − | 6.05172e6i | −0.0748927 | − | 0.328126i | ||||
\(807\) | 1.55141e7 | + | 7.47121e6i | 0.838578 | + | 0.403838i | ||||
\(808\) | 3.92956e6 | + | 1.72165e7i | 0.211746 | + | 0.927720i | ||||
\(809\) | 232545. | − | 111988.i | 0.0124921 | − | 0.00601588i | −0.427627 | − | 0.903955i | \(-0.640650\pi\) |
0.440119 | + | 0.897939i | \(0.354936\pi\) | |||||||
\(810\) | −1.30793e7 | −0.700440 | ||||||||
\(811\) | −6.26378e6 | −0.334414 | −0.167207 | − | 0.985922i | \(-0.553475\pi\) | ||||
−0.167207 | + | 0.985922i | \(0.553475\pi\) | |||||||
\(812\) | 1.46713e7 | − | 7.06534e6i | 0.780871 | − | 0.376048i | ||||
\(813\) | −927416. | + | 4.06327e6i | −0.0492094 | + | 0.215600i | ||||
\(814\) | 1.75084e6 | − | 2.19548e6i | 0.0926159 | − | 0.116137i | ||||
\(815\) | 7.01887e6 | + | 8.80139e6i | 0.370146 | + | 0.464149i | ||||
\(816\) | −1.44655e6 | −0.0760514 | ||||||||
\(817\) | 4.19573e6 | + | 1.44379e7i | 0.219914 | + | 0.756746i | ||||
\(818\) | 4.02612e7 | 2.10380 | ||||||||
\(819\) | 195778. | + | 245498.i | 0.0101989 | + | 0.0127890i | ||||
\(820\) | 1.23644e6 | − | 1.55045e6i | 0.0642152 | − | 0.0805234i | ||||
\(821\) | −6.28702e6 | + | 2.75452e7i | −0.325527 | + | 1.42623i | 0.502032 | + | 0.864849i | \(0.332586\pi\) |
−0.827559 | + | 0.561378i | \(0.810271\pi\) | |||||||
\(822\) | 6.31690e6 | − | 3.04206e6i | 0.326080 | − | 0.157032i | ||||
\(823\) | 2.47291e7 | 1.27265 | 0.636325 | − | 0.771421i | \(-0.280454\pi\) | ||||
0.636325 | + | 0.771421i | \(0.280454\pi\) | |||||||
\(824\) | −6.15620e6 | −0.315860 | ||||||||
\(825\) | −1.93781e6 | + | 933202.i | −0.0991236 | + | 0.0477354i | ||||
\(826\) | 7.64882e6 | + | 3.35117e7i | 0.390071 | + | 1.70901i | ||||
\(827\) | −6.04988e6 | − | 2.91347e6i | −0.307598 | − | 0.148131i | 0.273717 | − | 0.961810i | \(-0.411747\pi\) |
−0.581314 | + | 0.813679i | \(0.697461\pi\) | |||||||
\(828\) | −25729.8 | − | 112730.i | −0.00130425 | − | 0.00571428i | ||||
\(829\) | 8.99183e6 | + | 1.12754e7i | 0.454425 | + | 0.569830i | 0.955281 | − | 0.295700i | \(-0.0955529\pi\) |
−0.500856 | + | 0.865530i | \(0.666981\pi\) | |||||||
\(830\) | −2.36509e7 | + | 1.13897e7i | −1.19166 | + | 0.573873i | ||||
\(831\) | −1.78692e7 | − | 2.24072e7i | −0.897640 | − | 1.12560i | ||||
\(832\) | −155965. | + | 683327.i | −0.00781121 | + | 0.0342232i | ||||
\(833\) | 447940. | + | 215716.i | 0.0223670 | + | 0.0107714i | ||||
\(834\) | 2.95551e6 | + | 1.42330e6i | 0.147136 | + | 0.0708568i | ||||
\(835\) | 9.18511e6 | − | 1.15178e7i | 0.455898 | − | 0.571678i | ||||
\(836\) | −315034. | + | 1.38025e6i | −0.0155898 | + | 0.0683036i | ||||
\(837\) | −1.40128e6 | − | 6.13943e6i | −0.0691374 | − | 0.302911i | ||||
\(838\) | −1.29367e7 | + | 1.62221e7i | −0.636373 | + | 0.797987i | ||||
\(839\) | −2.98074e6 | + | 3.73772e6i | −0.146190 | + | 0.183317i | −0.849535 | − | 0.527532i | \(-0.823118\pi\) |
0.703345 | + | 0.710849i | \(0.251689\pi\) | |||||||
\(840\) | 1.76113e6 | + | 7.71603e6i | 0.0861180 | + | 0.377308i | ||||
\(841\) | −3.88457e6 | + | 1.70194e7i | −0.189388 | + | 0.829764i | ||||
\(842\) | −5.49612e6 | + | 6.89192e6i | −0.267163 | + | 0.335012i | ||||
\(843\) | 1.06452e7 | + | 5.12646e6i | 0.515923 | + | 0.248455i | ||||
\(844\) | 1.85861e7 | + | 8.95058e6i | 0.898114 | + | 0.432509i | ||||
\(845\) | 596640. | − | 2.61405e6i | 0.0287456 | − | 0.125942i | ||||
\(846\) | 294470. | + | 369253.i | 0.0141454 | + | 0.0177378i | ||||
\(847\) | −2.16827e7 | + | 1.04419e7i | −1.03850 | + | 0.500114i | ||||
\(848\) | −1.29466e7 | − | 1.62345e7i | −0.618253 | − | 0.775265i | ||||
\(849\) | −1.93771e6 | − | 8.48967e6i | −0.0922614 | − | 0.404223i | ||||
\(850\) | −968694. | − | 466499.i | −0.0459875 | − | 0.0221464i | ||||
\(851\) | 2.36791e6 | + | 1.03745e7i | 0.112083 | + | 0.491069i | ||||
\(852\) | 1.03210e7 | − | 4.97034e6i | 0.487106 | − | 0.234578i | ||||
\(853\) | 1.53771e7 | 0.723607 | 0.361804 | − | 0.932254i | \(-0.382161\pi\) | ||||
0.361804 | + | 0.932254i | \(0.382161\pi\) | |||||||
\(854\) | 1.59754e7 | 0.749561 | ||||||||
\(855\) | 136602. | − | 65783.8i | 0.00639058 | − | 0.00307754i | ||||
\(856\) | −3.36038e6 | + | 1.47228e7i | −0.156749 | + | 0.686761i | ||||
\(857\) | 2.37230e7 | − | 2.97477e7i | 1.10336 | − | 1.38357i | 0.187410 | − | 0.982282i | \(-0.439991\pi\) |
0.915951 | − | 0.401289i | \(-0.131438\pi\) | |||||||
\(858\) | −2.40807e6 | − | 3.01963e6i | −0.111674 | − | 0.140035i | ||||
\(859\) | 3.42037e7 | 1.58158 | 0.790789 | − | 0.612089i | \(-0.209670\pi\) | ||||
0.790789 | + | 0.612089i | \(0.209670\pi\) | |||||||
\(860\) | −4.47108e6 | − | 4.97988e6i | −0.206142 | − | 0.229600i | ||||
\(861\) | 8.53655e6 | 0.392441 | ||||||||
\(862\) | −7.12002e6 | − | 8.92823e6i | −0.326372 | − | 0.409258i | ||||
\(863\) | −2.04286e7 | + | 2.56166e7i | −0.933708 | + | 1.17083i | 0.0513619 | + | 0.998680i | \(0.483644\pi\) |
−0.985070 | + | 0.172153i | \(0.944928\pi\) | |||||||
\(864\) | 4.79612e6 | − | 2.10132e7i | 0.218578 | − | 0.957652i | ||||
\(865\) | 6.32206e6 | − | 3.04454e6i | 0.287289 | − | 0.138351i | ||||
\(866\) | −3.06604e7 | −1.38926 | ||||||||
\(867\) | 2.18764e7 | 0.988390 | ||||||||
\(868\) | 3.92808e6 | − | 1.89166e6i | 0.176962 | − | 0.0852206i | ||||
\(869\) | −824042. | − | 3.61036e6i | −0.0370169 | − | 0.162182i | ||||
\(870\) | 1.93257e7 | + | 9.30676e6i | 0.865639 | + | 0.416870i | ||||
\(871\) | 926748. | + | 4.06035e6i | 0.0413920 | + | 0.181350i | ||||
\(872\) | 4.78229e6 | + | 5.99681e6i | 0.212983 | + | 0.267072i | ||||
\(873\) | −305170. | + | 146962.i | −0.0135521 | + | 0.00652634i | ||||
\(874\) | −9.56768e6 | − | 1.19975e7i | −0.423670 | − | 0.531266i | ||||
\(875\) | −5.72673e6 | + | 2.50905e7i | −0.252864 | + | 1.10787i | ||||
\(876\) | −8.61413e6 | − | 4.14834e6i | −0.379272 | − | 0.182648i | ||||
\(877\) | −1.62664e7 | − | 7.83347e6i | −0.714154 | − | 0.343918i | 0.0412762 | − | 0.999148i | \(-0.486858\pi\) |
−0.755430 | + | 0.655230i | \(0.772572\pi\) | |||||||
\(878\) | −1.11290e6 | + | 1.39553e6i | −0.0487214 | + | 0.0610948i | ||||
\(879\) | 4.38462e6 | − | 1.92103e7i | 0.191408 | − | 0.838614i | ||||
\(880\) | 605940. | + | 2.65480e6i | 0.0263768 | + | 0.115565i | ||||
\(881\) | 1.96448e7 | − | 2.46338e7i | 0.852724 | − | 1.06928i | −0.144093 | − | 0.989564i | \(-0.546027\pi\) |
0.996817 | − | 0.0797182i | \(-0.0254020\pi\) | |||||||
\(882\) | −113250. | + | 142011.i | −0.00490193 | + | 0.00614683i | ||||
\(883\) | −3.01880e6 | − | 1.32262e7i | −0.130297 | − | 0.570867i | −0.997357 | − | 0.0726631i | \(-0.976850\pi\) |
0.867060 | − | 0.498204i | \(-0.166007\pi\) | |||||||
\(884\) | 150201. | − | 658073.i | 0.00646460 | − | 0.0283233i | ||||
\(885\) | −9.86971e6 | + | 1.23762e7i | −0.423590 | + | 0.531165i | ||||
\(886\) | −1.19482e7 | − | 5.75397e6i | −0.511352 | − | 0.246254i | ||||
\(887\) | −6.31468e6 | − | 3.04099e6i | −0.269490 | − | 0.129779i | 0.294259 | − | 0.955726i | \(-0.404927\pi\) |
−0.563749 | + | 0.825946i | \(0.690641\pi\) | |||||||
\(888\) | −2.15475e6 | + | 9.44056e6i | −0.0916988 | + | 0.401759i | ||||
\(889\) | 2.61205e7 | + | 3.27540e7i | 1.10848 | + | 1.38999i | ||||
\(890\) | 1.76577e7 | − | 8.50351e6i | 0.747239 | − | 0.359851i | ||||
\(891\) | −2.40466e6 | − | 3.01535e6i | −0.101475 | − | 0.127246i | ||||
\(892\) | 3.04146e6 | + | 1.33255e7i | 0.127988 | + | 0.560753i | ||||
\(893\) | 1.97433e7 | + | 9.50786e6i | 0.828497 | + | 0.398983i | ||||
\(894\) | −3.90923e6 | − | 1.71275e7i | −0.163587 | − | 0.716720i | ||||
\(895\) | 9.61556e6 | − | 4.63061e6i | 0.401252 | − | 0.193233i | ||||
\(896\) | −2.91682e7 | −1.21378 | ||||||||
\(897\) | 1.46358e7 | 0.607346 | ||||||||
\(898\) | 1.73055e7 | − | 8.33388e6i | 0.716132 | − | 0.344871i | ||||
\(899\) | −2.26205e6 | + | 9.91069e6i | −0.0933476 | + | 0.408983i | ||||
\(900\) | 85623.3 | − | 107368.i | 0.00352359 | − | 0.00441844i | ||||
\(901\) | −740760. | − | 928884.i | −0.0303994 | − | 0.0381197i | ||||
\(902\) | 1.67262e6 | 0.0684513 | ||||||||
\(903\) | 4.75991e6 | − | 2.84131e7i | 0.194258 | − | 1.15957i | ||||
\(904\) | 1.96019e7 | 0.797770 | ||||||||
\(905\) | 4.17557e6 | + | 5.23599e6i | 0.169470 | + | 0.212509i | ||||
\(906\) | 2.96866e7 | − | 3.72258e7i | 1.20154 | − | 1.50669i | ||||
\(907\) | −972852. | + | 4.26234e6i | −0.0392671 | + | 0.172040i | −0.990759 | − | 0.135633i | \(-0.956693\pi\) |
0.951492 | + | 0.307673i | \(0.0995504\pi\) | |||||||
\(908\) | 6.57203e6 | − | 3.16492e6i | 0.264536 | − | 0.127394i | ||||
\(909\) | −648209. | −0.0260199 | ||||||||
\(910\) | −1.85492e7 | −0.742544 | ||||||||
\(911\) | −8.73241e6 | + | 4.20531e6i | −0.348609 | + | 0.167881i | −0.599991 | − | 0.800007i | \(-0.704829\pi\) |
0.251382 | + | 0.967888i | \(0.419115\pi\) | |||||||
\(912\) | −5.45634e6 | − | 2.39058e7i | −0.217227 | − | 0.951734i | ||||
\(913\) | −6.97410e6 | − | 3.35855e6i | −0.276892 | − | 0.133344i | ||||
\(914\) | 5.32270e6 | + | 2.33203e7i | 0.210749 | + | 0.923354i | ||||
\(915\) | 4.58704e6 | + | 5.75197e6i | 0.181126 | + | 0.227124i | ||||
\(916\) | −1.64502e7 | + | 7.92202e6i | −0.647789 | + | 0.311959i | ||||
\(917\) | −8.22977e6 | − | 1.03198e7i | −0.323195 | − | 0.405273i | ||||
\(918\) | 435848. | − | 1.90958e6i | 0.0170698 | − | 0.0747877i | ||||
\(919\) | 2.95104e7 | + | 1.42114e7i | 1.15262 | + | 0.555072i | 0.909819 | − | 0.415004i | \(-0.136220\pi\) |
0.242800 | + | 0.970076i | \(0.421934\pi\) | |||||||
\(920\) | −5.29449e6 | − | 2.54969e6i | −0.206231 | − | 0.0993157i | ||||
\(921\) | 1.23283e7 | − | 1.54592e7i | 0.478911 | − | 0.600535i | ||||
\(922\) | −2.73215e6 | + | 1.19703e7i | −0.105847 | + | 0.463745i | ||||
\(923\) | −5.13979e6 | − | 2.25189e7i | −0.198582 | − | 0.870047i | ||||
\(924\) | 1.69135e6 | − | 2.12089e6i | 0.0651709 | − | 0.0817218i | ||||
\(925\) | −7.87990e6 | + | 9.88108e6i | −0.302807 | + | 0.379708i | ||||
\(926\) | 4.41105e6 | + | 1.93261e7i | 0.169050 | + | 0.740656i | ||||
\(927\) | 50283.6 | − | 220307.i | 0.00192188 | − | 0.00842031i | ||||
\(928\) | −2.16933e7 | + | 2.72025e7i | −0.826903 | + | 1.03690i | ||||
\(929\) | 1.95835e7 | + | 9.43092e6i | 0.744477 | + | 0.358521i | 0.767360 | − | 0.641217i | \(-0.221570\pi\) |
−0.0228825 | + | 0.999738i | \(0.507284\pi\) | |||||||
\(930\) | 5.17423e6 | + | 2.49178e6i | 0.196173 | + | 0.0944717i | ||||
\(931\) | −1.87533e6 | + | 8.21637e6i | −0.0709095 | + | 0.310675i | ||||
\(932\) | 1.28249e6 | + | 1.60820e6i | 0.0483633 | + | 0.0606456i | ||||
\(933\) | −3.67516e6 | + | 1.76987e6i | −0.138221 | + | 0.0665635i | ||||
\(934\) | −3.18381e7 | − | 3.99237e7i | −1.19421 | − | 1.49749i | ||||
\(935\) | 34669.8 | + | 151898.i | 0.00129695 | + | 0.00568229i | ||||
\(936\) | −191147. | − | 92051.7i | −0.00713146 | − | 0.00343433i | ||||
\(937\) | −6.83563e6 | − | 2.99489e7i | −0.254349 | − | 1.11437i | −0.927191 | − | 0.374589i | \(-0.877784\pi\) |
0.672842 | − | 0.739786i | \(-0.265073\pi\) | |||||||
\(938\) | −7.53839e6 | + | 3.63030e6i | −0.279751 | + | 0.134721i | ||||
\(939\) | −4.17088e7 | −1.54370 | ||||||||
\(940\) | −9.75413e6 | −0.360055 | ||||||||
\(941\) | −2.22086e7 | + | 1.06951e7i | −0.817611 | + | 0.393741i | −0.795454 | − | 0.606014i | \(-0.792768\pi\) |
−0.0221568 | + | 0.999755i | \(0.507053\pi\) | |||||||
\(942\) | 3.96060e6 | − | 1.73525e7i | 0.145423 | − | 0.637141i | ||||
\(943\) | −3.95188e6 | + | 4.95551e6i | −0.144719 | + | 0.181472i | ||||
\(944\) | −2.54272e7 | − | 3.18847e7i | −0.928685 | − | 1.16453i | ||||
\(945\) | −1.88181e7 | −0.685481 | ||||||||
\(946\) | 932640. | − | 5.56716e6i | 0.0338834 | − | 0.202258i | ||||
\(947\) | −2.41268e7 | −0.874228 | −0.437114 | − | 0.899406i | \(-0.643999\pi\) | ||||
−0.437114 | + | 0.899406i | \(0.643999\pi\) | |||||||
\(948\) | −9.25462e6 | − | 1.16049e7i | −0.334455 | − | 0.419393i | ||||
\(949\) | −1.20197e7 | + | 1.50722e7i | −0.433239 | + | 0.543264i | ||||
\(950\) | 4.05551e6 | − | 1.77683e7i | 0.145793 | − | 0.638761i | ||||
\(951\) | −3.75189e7 | + | 1.80682e7i | −1.34524 | + | 0.647832i | ||||
\(952\) | −1.16664e6 | −0.0417200 | ||||||||
\(953\) | −1.91424e7 | −0.682752 | −0.341376 | − | 0.939927i | \(-0.610893\pi\) | ||||
−0.341376 | + | 0.939927i | \(0.610893\pi\) | |||||||
\(954\) | 391073. | − | 188331.i | 0.0139119 | − | 0.00669962i | ||||
\(955\) | −3.48532e6 | − | 1.52702e7i | −0.123661 | − | 0.541796i | ||||
\(956\) | 2.80066e6 | + | 1.34873e6i | 0.0991097 | + | 0.0477287i | ||||
\(957\) | 1.40746e6 | + | 6.16649e6i | 0.0496772 | + | 0.217650i | ||||
\(958\) | 2.22447e7 | + | 2.78940e7i | 0.783093 | + | 0.981967i | ||||
\(959\) | 8.94602e6 | − | 4.30818e6i | 0.314111 | − | 0.151268i | ||||
\(960\) | −404310. | − | 506989.i | −0.0141591 | − | 0.0177550i | ||||
\(961\) | 5.76495e6 | − | 2.52579e7i | 0.201366 | − | 0.882244i | ||||
\(962\) | −2.04475e7 | − | 9.84697e6i | −0.712363 | − | 0.343056i | ||||
\(963\) | −499424. | − | 240510.i | −0.0173542 | − | 0.00835732i | ||||
\(964\) | −1.84432e7 | + | 2.31271e7i | −0.639212 | + | 0.801546i | ||||
\(965\) | −4.29821e6 | + | 1.88317e7i | −0.148583 | + | 0.650984i | ||||
\(966\) | 6.54284e6 | + | 2.86660e7i | 0.225592 | + | 0.988382i | ||||
\(967\) | −1.53004e7 | + | 1.91860e7i | −0.526181 | + | 0.659811i | −0.971909 | − | 0.235358i | \(-0.924374\pi\) |
0.445727 | + | 0.895169i | \(0.352945\pi\) | |||||||
\(968\) | 1.01381e7 | − | 1.27128e7i | 0.347752 | − | 0.436067i | ||||
\(969\) | −312193. | − | 1.36781e6i | −0.0106810 | − | 0.0467967i | ||||
\(970\) | 4.45240e6 | − | 1.95072e7i | 0.151937 | − | 0.665681i | ||||
\(971\) | 1.18461e7 | − | 1.48545e7i | 0.403206 | − | 0.505604i | −0.538229 | − | 0.842798i | \(-0.680907\pi\) |
0.941435 | + | 0.337194i | \(0.109478\pi\) | |||||||
\(972\) | 447326. | + | 215421.i | 0.0151865 | + | 0.00731345i | ||||
\(973\) | 4.18561e6 | + | 2.01568e6i | 0.141735 | + | 0.0682559i | ||||
\(974\) | −897887. | + | 3.93390e6i | −0.0303267 | + | 0.132870i | ||||
\(975\) | 1.08379e7 | + | 1.35903e7i | 0.365117 | + | 0.457843i | ||||
\(976\) | −1.70768e7 | + | 8.22377e6i | −0.573829 | + | 0.276342i | ||||
\(977\) | 2.22753e7 | + | 2.79324e7i | 0.746599 | + | 0.936206i | 0.999511 | − | 0.0312838i | \(-0.00995957\pi\) |
−0.252911 | + | 0.967489i | \(0.581388\pi\) | |||||||
\(978\) | 8.46865e6 | + | 3.71036e7i | 0.283118 | + | 1.24042i | ||||
\(979\) | 5.20685e6 | + | 2.50749e6i | 0.173628 | + | 0.0836146i | ||||
\(980\) | −834752. | − | 3.65729e6i | −0.0277647 | − | 0.121645i | ||||
\(981\) | −253664. | + | 122158.i | −0.00841563 | + | 0.00405275i | ||||
\(982\) | 2.83761e7 | 0.939018 | ||||||||
\(983\) | 2.55188e6 | 0.0842317 | 0.0421159 | − | 0.999113i | \(-0.486590\pi\) | ||||
0.0421159 | + | 0.999113i | \(0.486590\pi\) | |||||||
\(984\) | −5.19656e6 | + | 2.50253e6i | −0.171091 | + | 0.0823933i | ||||
\(985\) | −3.16842e6 | + | 1.38818e7i | −0.104053 | + | 0.455884i | ||||
\(986\) | −1.97138e6 | + | 2.47203e6i | −0.0645769 | + | 0.0809769i | ||||
\(987\) | −2.61792e7 | − | 3.28277e7i | −0.855390 | − | 1.07263i | ||||
\(988\) | 1.14419e7 | 0.372912 | ||||||||
\(989\) | 1.42904e7 | + | 1.59166e7i | 0.464572 | + | 0.517440i | ||||
\(990\) | −56921.9 | −0.00184583 | ||||||||
\(991\) | −8.17786e6 | − | 1.02547e7i | −0.264518 | − | 0.331695i | 0.631780 | − | 0.775148i | \(-0.282325\pi\) |
−0.896298 | + | 0.443453i | \(0.853753\pi\) | |||||||
\(992\) | −5.80812e6 | + | 7.28315e6i | −0.187394 | + | 0.234985i | ||||
\(993\) | −1.32950e7 | + | 5.82492e7i | −0.427873 | + | 1.87463i | ||||
\(994\) | 4.18083e7 | − | 2.01338e7i | 1.34213 | − | 0.646338i | ||||
\(995\) | −2.67610e7 | −0.856927 | ||||||||
\(996\) | −3.10262e7 | −0.991016 | ||||||||
\(997\) | −1.21499e7 | + | 5.85108e6i | −0.387110 | + | 0.186423i | −0.617308 | − | 0.786721i | \(-0.711777\pi\) |
0.230198 | + | 0.973144i | \(0.426063\pi\) | |||||||
\(998\) | 1.18950e7 | + | 5.21152e7i | 0.378039 | + | 1.65630i | ||||
\(999\) | −2.07438e7 | − | 9.98969e6i | −0.657620 | − | 0.316693i |
(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.11.15 | yes | 108 | |
43.4 | even | 7 | inner | 43.6.e.a.4.15 | ✓ | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.6.e.a.4.15 | ✓ | 108 | 43.4 | even | 7 | inner | |
43.6.e.a.11.15 | yes | 108 | 1.1 | even | 1 | trivial |