Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,7,Mod(2,43)]
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([9]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.f (of order \(14\), 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: | \(9.89232559565\) |
Analytic rank: | \(0\) |
Dimension: | \(126\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 2.8 | ||
Character | \(\chi\) | \(=\) | 43.2 |
Dual form | 43.7.f.a.22.8 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.72088 | − | 5.64997i | −0.340110 | − | 0.706246i | 0.658829 | − | 0.752292i | \(-0.271052\pi\) |
−0.998939 | + | 0.0460468i | \(0.985338\pi\) | |||||||
\(3\) | −8.85233 | + | 18.3821i | −0.327864 | + | 0.680817i | −0.998118 | − | 0.0613147i | \(-0.980471\pi\) |
0.670254 | + | 0.742131i | \(0.266185\pi\) | |||||||
\(4\) | 15.3844 | − | 19.2915i | 0.240382 | − | 0.301429i | ||||
\(5\) | −52.8314 | − | 12.0584i | −0.422651 | − | 0.0964674i | 0.00590491 | − | 0.999983i | \(-0.498120\pi\) |
−0.428556 | + | 0.903515i | \(0.640978\pi\) | |||||||
\(6\) | 127.944 | 0.592334 | ||||||||
\(7\) | − | 8.48034i | − | 0.0247240i | −0.999924 | − | 0.0123620i | \(-0.996065\pi\) | ||
0.999924 | − | 0.0123620i | \(-0.00393505\pi\) | |||||||
\(8\) | −542.136 | − | 123.739i | −1.05886 | − | 0.241678i | ||||
\(9\) | 194.988 | + | 244.507i | 0.267473 | + | 0.335401i | ||||
\(10\) | 75.6182 | + | 331.305i | 0.0756182 | + | 0.331305i | ||||
\(11\) | −101.284 | − | 127.006i | −0.0760963 | − | 0.0954217i | 0.742326 | − | 0.670039i | \(-0.233722\pi\) |
−0.818422 | + | 0.574617i | \(0.805151\pi\) | |||||||
\(12\) | 218.429 | + | 453.572i | 0.126405 | + | 0.262484i | ||||
\(13\) | −890.251 | + | 3900.44i | −0.405212 | + | 1.77535i | 0.200529 | + | 0.979688i | \(0.435734\pi\) |
−0.605741 | + | 0.795662i | \(0.707123\pi\) | |||||||
\(14\) | −47.9136 | + | 23.0740i | −0.0174612 | + | 0.00840889i | ||||
\(15\) | 689.339 | − | 864.404i | 0.204249 | − | 0.256120i | ||||
\(16\) | 424.565 | + | 1860.14i | 0.103654 | + | 0.454136i | ||||
\(17\) | 271.872 | + | 1191.15i | 0.0553372 | + | 0.242448i | 0.995031 | − | 0.0995700i | \(-0.0317467\pi\) |
−0.939693 | + | 0.342018i | \(0.888890\pi\) | |||||||
\(18\) | 850.918 | − | 1766.95i | 0.145905 | − | 0.302975i | ||||
\(19\) | 9494.57 | + | 7571.67i | 1.38425 | + | 1.10390i | 0.982107 | + | 0.188326i | \(0.0603061\pi\) |
0.402143 | + | 0.915577i | \(0.368265\pi\) | |||||||
\(20\) | −1045.41 | + | 833.683i | −0.130676 | + | 0.104210i | ||||
\(21\) | 155.886 | + | 75.0708i | 0.0168325 | + | 0.00810612i | ||||
\(22\) | −441.999 | + | 917.821i | −0.0415101 | + | 0.0861965i | ||||
\(23\) | 13139.6 | + | 16476.5i | 1.07994 | + | 1.35420i | 0.930861 | + | 0.365372i | \(0.119058\pi\) |
0.149076 | + | 0.988826i | \(0.452370\pi\) | |||||||
\(24\) | 7073.74 | − | 8870.19i | 0.511700 | − | 0.641652i | ||||
\(25\) | −11431.9 | − | 5505.31i | −0.731641 | − | 0.352340i | ||||
\(26\) | 24459.6 | − | 5582.75i | 1.39165 | − | 0.317635i | ||||
\(27\) | −20721.2 | + | 4729.47i | −1.05275 | + | 0.240282i | ||||
\(28\) | −163.598 | − | 130.465i | −0.00745254 | − | 0.00594320i | ||||
\(29\) | −14193.9 | − | 29473.9i | −0.581979 | − | 1.20849i | −0.959294 | − | 0.282408i | \(-0.908867\pi\) |
0.377315 | − | 0.926085i | \(-0.376847\pi\) | |||||||
\(30\) | −6759.46 | − | 1542.80i | −0.250350 | − | 0.0571409i | ||||
\(31\) | −33403.3 | + | 16086.2i | −1.12125 | + | 0.539968i | −0.900280 | − | 0.435312i | \(-0.856638\pi\) |
−0.220975 | + | 0.975280i | \(0.570924\pi\) | |||||||
\(32\) | −18470.1 | + | 14729.4i | −0.563661 | + | 0.449505i | ||||
\(33\) | 3231.24 | − | 737.509i | 0.0899139 | − | 0.0205223i | ||||
\(34\) | 5990.21 | − | 4777.03i | 0.152407 | − | 0.121541i | ||||
\(35\) | −102.260 | + | 448.028i | −0.00238506 | + | 0.0104496i | ||||
\(36\) | 7716.68 | 0.165395 | ||||||||
\(37\) | 37913.0i | 0.748484i | 0.927331 | + | 0.374242i | \(0.122097\pi\) | ||||
−0.927331 | + | 0.374242i | \(0.877903\pi\) | |||||||
\(38\) | 16946.1 | − | 74245.6i | 0.308829 | − | 1.35307i | ||||
\(39\) | −63817.4 | − | 50892.7i | −1.07583 | − | 0.857949i | ||||
\(40\) | 27149.7 | + | 13074.6i | 0.424214 | + | 0.204291i | ||||
\(41\) | −23754.8 | + | 11439.7i | −0.344667 | + | 0.165983i | −0.598206 | − | 0.801342i | \(-0.704120\pi\) |
0.253539 | + | 0.967325i | \(0.418405\pi\) | |||||||
\(42\) | − | 1085.01i | − | 0.0146449i | ||||||
\(43\) | −12762.6 | − | 78476.0i | −0.160521 | − | 0.987032i | ||||
\(44\) | −4008.34 | −0.0470550 | ||||||||
\(45\) | −7353.12 | − | 15268.9i | −0.0806926 | − | 0.167560i | ||||
\(46\) | 57340.6 | − | 119069.i | 0.589099 | − | 1.22328i | ||||
\(47\) | 50642.7 | − | 63504.0i | 0.487779 | − | 0.611656i | −0.475645 | − | 0.879638i | \(-0.657785\pi\) |
0.963424 | + | 0.267981i | \(0.0863566\pi\) | |||||||
\(48\) | −37951.6 | − | 8662.20i | −0.343168 | − | 0.0783258i | ||||
\(49\) | 117577. | 0.999389 | ||||||||
\(50\) | 79569.0i | 0.636552i | ||||||||
\(51\) | −24302.4 | − | 5546.87i | −0.183206 | − | 0.0418155i | ||||
\(52\) | 61549.3 | + | 77180.3i | 0.437737 | + | 0.548904i | ||||
\(53\) | 14191.9 | + | 62178.7i | 0.0953263 | + | 0.417652i | 0.999964 | − | 0.00853056i | \(-0.00271540\pi\) |
−0.904637 | + | 0.426182i | \(0.859858\pi\) | |||||||
\(54\) | 83101.2 | + | 104206.i | 0.527747 | + | 0.661774i | ||||
\(55\) | 3819.49 | + | 7931.24i | 0.0229571 | + | 0.0476709i | ||||
\(56\) | −1049.35 | + | 4597.50i | −0.00597525 | + | 0.0261793i | ||||
\(57\) | −223232. | + | 107503.i | −1.20540 | + | 0.580491i | ||||
\(58\) | −127907. | + | 160390.i | −0.655556 | + | 0.822041i | ||||
\(59\) | −43420.1 | − | 190236.i | −0.211414 | − | 0.926267i | −0.963607 | − | 0.267324i | \(-0.913861\pi\) |
0.752192 | − | 0.658944i | \(-0.228996\pi\) | |||||||
\(60\) | −6070.53 | − | 26596.7i | −0.0281043 | − | 0.123133i | ||||
\(61\) | −22368.4 | + | 46448.5i | −0.0985475 | + | 0.204636i | −0.944414 | − | 0.328759i | \(-0.893370\pi\) |
0.845866 | + | 0.533395i | \(0.179084\pi\) | |||||||
\(62\) | 181773. | + | 144959.i | 0.762699 | + | 0.608233i | ||||
\(63\) | 2073.50 | − | 1653.56i | 0.00829246 | − | 0.00661302i | ||||
\(64\) | 243493. | + | 117260.i | 0.928852 | + | 0.447312i | ||||
\(65\) | 94066.4 | − | 195331.i | 0.342527 | − | 0.711264i | ||||
\(66\) | −12958.7 | − | 16249.7i | −0.0450744 | − | 0.0565215i | ||||
\(67\) | −329208. | + | 412814.i | −1.09458 | + | 1.37255i | −0.172743 | + | 0.984967i | \(0.555263\pi\) |
−0.921833 | + | 0.387587i | \(0.873309\pi\) | |||||||
\(68\) | 27161.6 | + | 13080.3i | 0.0863830 | + | 0.0415998i | ||||
\(69\) | −419188. | + | 95677.0i | −1.27603 | + | 0.291246i | ||||
\(70\) | 2809.58 | − | 641.268i | 0.00819120 | − | 0.00186959i | ||||
\(71\) | −102133. | − | 81448.3i | −0.285358 | − | 0.227566i | 0.470340 | − | 0.882485i | \(-0.344131\pi\) |
−0.755699 | + | 0.654919i | \(0.772703\pi\) | |||||||
\(72\) | −75454.9 | − | 156684.i | −0.202158 | − | 0.419785i | ||||
\(73\) | 489171. | + | 111650.i | 1.25746 | + | 0.287006i | 0.798794 | − | 0.601605i | \(-0.205472\pi\) |
0.458662 | + | 0.888611i | \(0.348329\pi\) | |||||||
\(74\) | 214207. | − | 103157.i | 0.528614 | − | 0.254567i | ||||
\(75\) | 202398. | − | 161407.i | 0.479757 | − | 0.382594i | ||||
\(76\) | 292137. | − | 66678.4i | 0.665497 | − | 0.151895i | ||||
\(77\) | −1077.06 | + | 858.924i | −0.00235921 | + | 0.00188141i | ||||
\(78\) | −113902. | + | 499039.i | −0.240021 | + | 1.05160i | ||||
\(79\) | −304493. | −0.617584 | −0.308792 | − | 0.951130i | \(-0.599925\pi\) | ||||
−0.308792 | + | 0.951130i | \(0.599925\pi\) | |||||||
\(80\) | − | 103393.i | − | 0.201940i | ||||||
\(81\) | 45761.9 | − | 200496.i | 0.0861091 | − | 0.377268i | ||||
\(82\) | 129268. | + | 103088.i | 0.234449 | + | 0.186967i | ||||
\(83\) | −166646. | − | 80252.7i | −0.291448 | − | 0.140354i | 0.282447 | − | 0.959283i | \(-0.408854\pi\) |
−0.573895 | + | 0.818929i | \(0.694568\pi\) | |||||||
\(84\) | 3846.44 | − | 1852.35i | 0.00648965 | − | 0.00312525i | ||||
\(85\) | − | 66208.3i | − | 0.107809i | ||||||
\(86\) | −408661. | + | 285632.i | −0.642492 | + | 0.449067i | ||||
\(87\) | 667440. | 1.01357 | ||||||||
\(88\) | 39194.1 | + | 81387.5i | 0.0575139 | + | 0.119429i | ||||
\(89\) | 9039.69 | − | 18771.1i | 0.0128228 | − | 0.0266269i | −0.894459 | − | 0.447150i | \(-0.852439\pi\) |
0.907282 | + | 0.420523i | \(0.138153\pi\) | |||||||
\(90\) | −66261.8 | + | 83089.7i | −0.0908941 | + | 0.113978i | ||||
\(91\) | 33077.1 | + | 7549.63i | 0.0438938 | + | 0.0100185i | ||||
\(92\) | 520002. | 0.667792 | ||||||||
\(93\) | − | 756421.i | − | 0.940405i | ||||||
\(94\) | −496588. | − | 113343.i | −0.597878 | − | 0.136462i | ||||
\(95\) | −410309. | − | 514511.i | −0.478564 | − | 0.600101i | ||||
\(96\) | −107253. | − | 469907.i | −0.121226 | − | 0.531127i | ||||
\(97\) | −101384. | − | 127131.i | −0.111085 | − | 0.139296i | 0.723181 | − | 0.690659i | \(-0.242679\pi\) |
−0.834265 | + | 0.551363i | \(0.814108\pi\) | |||||||
\(98\) | −319913. | − | 664306.i | −0.339902 | − | 0.705814i | ||||
\(99\) | 11304.8 | − | 49529.4i | 0.0116508 | − | 0.0510455i | ||||
\(100\) | −282079. | + | 135842.i | −0.282079 | + | 0.135842i | ||||
\(101\) | −408215. | + | 511886.i | −0.396210 | + | 0.496832i | −0.939421 | − | 0.342764i | \(-0.888637\pi\) |
0.543211 | + | 0.839596i | \(0.317208\pi\) | |||||||
\(102\) | 34784.4 | + | 152400.i | 0.0327781 | + | 0.143610i | ||||
\(103\) | 247753. | + | 1.08548e6i | 0.226729 | + | 0.993367i | 0.952287 | + | 0.305205i | \(0.0987249\pi\) |
−0.725557 | + | 0.688162i | \(0.758418\pi\) | |||||||
\(104\) | 965274. | − | 2.00441e6i | 0.858125 | − | 1.78192i | ||||
\(105\) | −7330.44 | − | 5845.83i | −0.00633231 | − | 0.00504985i | ||||
\(106\) | 312693. | − | 249364.i | 0.262543 | − | 0.209371i | ||||
\(107\) | −2.03707e6 | − | 981000.i | −1.66285 | − | 0.800789i | −0.998578 | − | 0.0533013i | \(-0.983026\pi\) |
−0.664276 | − | 0.747487i | \(-0.731260\pi\) | |||||||
\(108\) | −227545. | + | 472502.i | −0.180633 | + | 0.375088i | ||||
\(109\) | 767529. | + | 962451.i | 0.592673 | + | 0.743189i | 0.984216 | − | 0.176971i | \(-0.0566300\pi\) |
−0.391543 | + | 0.920160i | \(0.628059\pi\) | |||||||
\(110\) | 34418.9 | − | 43159.9i | 0.0258594 | − | 0.0324267i | ||||
\(111\) | −696918. | − | 335618.i | −0.509581 | − | 0.245401i | ||||
\(112\) | 15774.6 | − | 3600.46i | 0.0112281 | − | 0.00256273i | ||||
\(113\) | 1.77057e6 | − | 404120.i | 1.22709 | − | 0.280076i | 0.440615 | − | 0.897696i | \(-0.354760\pi\) |
0.786476 | + | 0.617621i | \(0.211903\pi\) | |||||||
\(114\) | 1.21477e6 | + | 968750.i | 0.819938 | + | 0.653879i | ||||
\(115\) | −495502. | − | 1.02892e6i | −0.325801 | − | 0.676532i | ||||
\(116\) | −786960. | − | 179619.i | −0.504172 | − | 0.115074i | ||||
\(117\) | −1.12727e6 | + | 542867.i | −0.703837 | + | 0.338950i | ||||
\(118\) | −956685. | + | 762931.i | −0.582268 | + | 0.464343i | ||||
\(119\) | 10101.3 | − | 2305.56i | 0.00599429 | − | 0.00136816i | ||||
\(120\) | −480676. | + | 383326.i | −0.278169 | + | 0.221832i | ||||
\(121\) | 388337. | − | 1.70142e6i | 0.219206 | − | 0.960405i | ||||
\(122\) | 323294. | 0.178040 | ||||||||
\(123\) | − | 537930.i | − | 0.289075i | ||||||
\(124\) | −203565. | + | 891875.i | −0.106767 | + | 0.467777i | ||||
\(125\) | 1.19957e6 | + | 956625.i | 0.614179 | + | 0.489792i | ||||
\(126\) | −14984.3 | − | 7216.08i | −0.00749076 | − | 0.00360736i | ||||
\(127\) | −2.28356e6 | + | 1.09970e6i | −1.11481 | + | 0.536865i | −0.898285 | − | 0.439412i | \(-0.855187\pi\) |
−0.216525 | + | 0.976277i | \(0.569472\pi\) | |||||||
\(128\) | − | 182836.i | − | 0.0871831i | ||||||
\(129\) | 1.55553e6 | + | 460093.i | 0.724617 | + | 0.214327i | ||||
\(130\) | −1.35956e6 | −0.618824 | ||||||||
\(131\) | 1.01045e6 | + | 2.09822e6i | 0.449469 | + | 0.933332i | 0.995428 | + | 0.0955198i | \(0.0304513\pi\) |
−0.545959 | + | 0.837812i | \(0.683834\pi\) | |||||||
\(132\) | 35483.1 | − | 73681.4i | 0.0154277 | − | 0.0320358i | ||||
\(133\) | 64210.3 | − | 80517.2i | 0.0272929 | − | 0.0342242i | ||||
\(134\) | 3.22812e6 | + | 736797.i | 1.34164 | + | 0.306220i | ||||
\(135\) | 1.15176e6 | 0.468123 | ||||||||
\(136\) | − | 679405.i | − | 0.270092i | ||||||
\(137\) | −1.21592e6 | − | 277527.i | −0.472874 | − | 0.107930i | −0.0205588 | − | 0.999789i | \(-0.506545\pi\) |
−0.452315 | + | 0.891858i | \(0.649402\pi\) | |||||||
\(138\) | 1.68113e6 | + | 2.10807e6i | 0.639683 | + | 0.802137i | ||||
\(139\) | 811312. | + | 3.55459e6i | 0.302095 | + | 1.32356i | 0.866958 | + | 0.498380i | \(0.166072\pi\) |
−0.564863 | + | 0.825184i | \(0.691071\pi\) | |||||||
\(140\) | 7069.92 | + | 8865.40i | 0.00257650 | + | 0.00323083i | ||||
\(141\) | 719027. | + | 1.49308e6i | 0.256500 | + | 0.532628i | ||||
\(142\) | −182289. | + | 798658.i | −0.0636641 | + | 0.278930i | ||||
\(143\) | 585549. | − | 281986.i | 0.200242 | − | 0.0964315i | ||||
\(144\) | −372033. | + | 466514.i | −0.124593 | + | 0.156235i | ||||
\(145\) | 394474. | + | 1.72830e6i | 0.129394 | + | 0.566913i | ||||
\(146\) | −700157. | − | 3.06759e6i | −0.224976 | − | 0.985686i | ||||
\(147\) | −1.04083e6 | + | 2.16131e6i | −0.327664 | + | 0.680401i | ||||
\(148\) | 731397. | + | 583270.i | 0.225615 | + | 0.179922i | ||||
\(149\) | 4.66918e6 | − | 3.72355e6i | 1.41150 | − | 1.12564i | 0.437470 | − | 0.899233i | \(-0.355875\pi\) |
0.974034 | − | 0.226404i | \(-0.0726968\pi\) | |||||||
\(150\) | −1.46264e6 | − | 704371.i | −0.433376 | − | 0.208703i | ||||
\(151\) | 40526.0 | − | 84153.0i | 0.0117707 | − | 0.0244421i | −0.895001 | − | 0.446065i | \(-0.852825\pi\) |
0.906771 | + | 0.421623i | \(0.138539\pi\) | |||||||
\(152\) | −4.21044e6 | − | 5.27972e6i | −1.19894 | − | 1.50342i | ||||
\(153\) | −238232. | + | 298734.i | −0.0665161 | + | 0.0834085i | ||||
\(154\) | 7783.43 | + | 3748.30i | 0.00213113 | + | 0.00102630i | ||||
\(155\) | 1.95872e6 | − | 447064.i | 0.525989 | − | 0.120053i | ||||
\(156\) | −1.96359e6 | + | 448176.i | −0.517221 | + | 0.118052i | ||||
\(157\) | 207615. | + | 165568.i | 0.0536489 | + | 0.0427836i | 0.649947 | − | 0.759979i | \(-0.274791\pi\) |
−0.596298 | + | 0.802763i | \(0.703362\pi\) | |||||||
\(158\) | 828489. | + | 1.72038e6i | 0.210047 | + | 0.436166i | ||||
\(159\) | −1.26860e6 | − | 289551.i | −0.315598 | − | 0.0720332i | ||||
\(160\) | 1.15341e6 | − | 555454.i | 0.281595 | − | 0.135609i | ||||
\(161\) | 139727. | − | 111428.i | 0.0334812 | − | 0.0267004i | ||||
\(162\) | −1.25731e6 | + | 286972.i | −0.295731 | + | 0.0674986i | ||||
\(163\) | 1.11325e6 | − | 887788.i | 0.257057 | − | 0.204997i | −0.486478 | − | 0.873693i | \(-0.661719\pi\) |
0.743536 | + | 0.668696i | \(0.233147\pi\) | |||||||
\(164\) | −144765. | + | 634258.i | −0.0328196 | + | 0.143792i | ||||
\(165\) | −179604. | −0.0399819 | ||||||||
\(166\) | 1.15990e6i | 0.253570i | ||||||||
\(167\) | 600019. | − | 2.62885e6i | 0.128830 | − | 0.564439i | −0.868771 | − | 0.495213i | \(-0.835090\pi\) |
0.997601 | − | 0.0692260i | \(-0.0220529\pi\) | |||||||
\(168\) | −75222.3 | − | 59987.8i | −0.0158642 | − | 0.0126513i | ||||
\(169\) | −1.00721e7 | − | 4.85047e6i | −2.08670 | − | 1.00490i | ||||
\(170\) | −374075. | + | 180145.i | −0.0761398 | + | 0.0366670i | ||||
\(171\) | 3.79787e6i | 0.759543i | ||||||||
\(172\) | −1.71026e6 | − | 961100.i | −0.336107 | − | 0.188879i | ||||
\(173\) | 3.43071e6 | 0.662591 | 0.331295 | − | 0.943527i | \(-0.392514\pi\) | ||||
0.331295 | + | 0.943527i | \(0.392514\pi\) | |||||||
\(174\) | −1.81602e6 | − | 3.77101e6i | −0.344726 | − | 0.715831i | ||||
\(175\) | −46686.9 | + | 96946.3i | −0.00871126 | + | 0.0180891i | ||||
\(176\) | 193248. | − | 242325.i | 0.0354468 | − | 0.0444488i | ||||
\(177\) | 3.88129e6 | + | 885880.i | 0.699934 | + | 0.159755i | ||||
\(178\) | −130652. | −0.0231663 | ||||||||
\(179\) | 30733.7i | 0.00535866i | 0.999996 | + | 0.00267933i | \(0.000852858\pi\) | ||||
−0.999996 | + | 0.00267933i | \(0.999147\pi\) | |||||||
\(180\) | −407683. | − | 93051.0i | −0.0699045 | − | 0.0159552i | ||||
\(181\) | −2.09118e6 | − | 2.62226e6i | −0.352660 | − | 0.442222i | 0.573583 | − | 0.819147i | \(-0.305553\pi\) |
−0.926244 | + | 0.376925i | \(0.876981\pi\) | |||||||
\(182\) | −47343.7 | − | 207426.i | −0.00785322 | − | 0.0344072i | ||||
\(183\) | −655806. | − | 822354.i | −0.107009 | − | 0.134186i | ||||
\(184\) | −5.08466e6 | − | 1.05584e7i | −0.816222 | − | 1.69490i | ||||
\(185\) | 457171. | − | 2.00300e6i | 0.0722043 | − | 0.316348i | ||||
\(186\) | −4.27375e6 | + | 2.05813e6i | −0.664157 | + | 0.319841i | ||||
\(187\) | 123747. | − | 155174.i | 0.0189238 | − | 0.0237298i | ||||
\(188\) | −445975. | − | 1.95394e6i | −0.0671177 | − | 0.294062i | ||||
\(189\) | 40107.6 | + | 175723.i | 0.00594074 | + | 0.0260281i | ||||
\(190\) | −1.79057e6 | + | 3.71815e6i | −0.261054 | + | 0.542084i | ||||
\(191\) | −2.75948e6 | − | 2.20061e6i | −0.396029 | − | 0.315823i | 0.405147 | − | 0.914252i | \(-0.367220\pi\) |
−0.801176 | + | 0.598429i | \(0.795792\pi\) | |||||||
\(192\) | −4.31096e6 | + | 3.43788e6i | −0.609075 | + | 0.485721i | ||||
\(193\) | 8.59476e6 | + | 4.13902e6i | 1.19553 | + | 0.575739i | 0.922400 | − | 0.386237i | \(-0.126225\pi\) |
0.273135 | + | 0.961976i | \(0.411940\pi\) | |||||||
\(194\) | −442434. | + | 918725.i | −0.0605960 | + | 0.125829i | ||||
\(195\) | 2.75788e6 | + | 3.45827e6i | 0.371938 | + | 0.466396i | ||||
\(196\) | 1.80886e6 | − | 2.26823e6i | 0.240235 | − | 0.301245i | ||||
\(197\) | 9.49957e6 | + | 4.57475e6i | 1.24252 | + | 0.598368i | 0.935498 | − | 0.353332i | \(-0.114952\pi\) |
0.307027 | + | 0.951701i | \(0.400666\pi\) | |||||||
\(198\) | −310598. | + | 70892.0i | −0.0400132 | + | 0.00913275i | ||||
\(199\) | 5.85890e6 | − | 1.33726e6i | 0.743459 | − | 0.169690i | 0.166019 | − | 0.986123i | \(-0.446909\pi\) |
0.577440 | + | 0.816433i | \(0.304052\pi\) | |||||||
\(200\) | 5.51642e6 | + | 4.39920e6i | 0.689552 | + | 0.549899i | ||||
\(201\) | −4.67410e6 | − | 9.70588e6i | −0.575586 | − | 1.19522i | ||||
\(202\) | 4.00284e6 | + | 913623.i | 0.485640 | + | 0.110844i | ||||
\(203\) | −249949. | + | 120369.i | −0.0298788 | + | 0.0143889i | ||||
\(204\) | −480886. | + | 383494.i | −0.0566437 | + | 0.0451719i | ||||
\(205\) | 1.39294e6 | − | 317930.i | 0.161686 | − | 0.0369037i | ||||
\(206\) | 5.45881e6 | − | 4.35325e6i | 0.624448 | − | 0.497981i | ||||
\(207\) | −1.46657e6 | + | 6.42545e6i | −0.165345 | + | 0.724423i | ||||
\(208\) | −7.63334e6 | −0.848252 | ||||||||
\(209\) | − | 1.97276e6i | − | 0.216090i | ||||||
\(210\) | −13083.5 | + | 57322.6i | −0.00141275 | + | 0.00618967i | ||||
\(211\) | −7.50061e6 | − | 5.98154e6i | −0.798453 | − | 0.636745i | 0.136851 | − | 0.990592i | \(-0.456302\pi\) |
−0.935303 | + | 0.353847i | \(0.884873\pi\) | |||||||
\(212\) | 1.41785e6 | + | 682802.i | 0.148807 | + | 0.0716617i | ||||
\(213\) | 2.40130e6 | − | 1.15641e6i | 0.248489 | − | 0.119666i | ||||
\(214\) | 1.41785e7i | 1.44674i | ||||||||
\(215\) | −272032. | + | 4.29989e6i | −0.0273719 | + | 0.432655i | ||||
\(216\) | 1.18189e7 | 1.17278 | ||||||||
\(217\) | 136416. | + | 283271.i | 0.0133502 | + | 0.0277219i | ||||
\(218\) | 3.34946e6 | − | 6.95522e6i | 0.323300 | − | 0.671339i | ||||
\(219\) | −6.38267e6 | + | 8.00361e6i | −0.607673 | + | 0.761998i | ||||
\(220\) | 211766. | + | 48334.2i | 0.0198879 | + | 0.00453927i | ||||
\(221\) | −4.88804e6 | −0.452853 | ||||||||
\(222\) | 4.85074e6i | 0.443353i | ||||||||
\(223\) | 1.79238e7 | + | 4.09099e6i | 1.61628 | + | 0.368905i | 0.932609 | − | 0.360889i | \(-0.117527\pi\) |
0.683668 | + | 0.729794i | \(0.260384\pi\) | |||||||
\(224\) | 124910. | + | 156632.i | 0.0111136 | + | 0.0139360i | ||||
\(225\) | −882994. | − | 3.86865e6i | −0.0775193 | − | 0.339634i | ||||
\(226\) | −7.10076e6 | − | 8.90407e6i | −0.615148 | − | 0.771371i | ||||
\(227\) | −4.51223e6 | − | 9.36975e6i | −0.385757 | − | 0.801033i | −0.999930 | − | 0.0118612i | \(-0.996224\pi\) |
0.614172 | − | 0.789172i | \(-0.289490\pi\) | |||||||
\(228\) | −1.36041e6 | + | 5.96034e6i | −0.114780 | + | 0.502882i | ||||
\(229\) | 1.22855e6 | − | 591639.i | 0.102303 | − | 0.0492664i | −0.382033 | − | 0.924149i | \(-0.624776\pi\) |
0.484335 | + | 0.874882i | \(0.339062\pi\) | |||||||
\(230\) | −4.46516e6 | + | 5.59914e6i | −0.366990 | + | 0.460191i | ||||
\(231\) | −6254.33 | − | 27402.0i | −0.000507393 | − | 0.00222303i | ||||
\(232\) | 4.04795e6 | + | 1.77352e7i | 0.324169 | + | 1.42028i | ||||
\(233\) | −8.02832e6 | + | 1.66710e7i | −0.634683 | + | 1.31793i | 0.297076 | + | 0.954854i | \(0.403989\pi\) |
−0.931759 | + | 0.363078i | \(0.881726\pi\) | |||||||
\(234\) | 6.13436e6 | + | 4.89199e6i | 0.478764 | + | 0.381802i | ||||
\(235\) | −3.44128e6 | + | 2.74433e6i | −0.265165 | + | 0.211462i | ||||
\(236\) | −4.33792e6 | − | 2.08903e6i | −0.330024 | − | 0.158931i | ||||
\(237\) | 2.69547e6 | − | 5.59721e6i | 0.202484 | − | 0.420462i | ||||
\(238\) | −40510.9 | − | 50799.0i | −0.00300497 | − | 0.00376812i | ||||
\(239\) | 3.01935e6 | − | 3.78614e6i | 0.221167 | − | 0.277334i | −0.658853 | − | 0.752272i | \(-0.728958\pi\) |
0.880019 | + | 0.474938i | \(0.157529\pi\) | |||||||
\(240\) | 1.90058e6 | + | 915272.i | 0.137484 | + | 0.0662089i | ||||
\(241\) | 8.65005e6 | − | 1.97432e6i | 0.617970 | − | 0.141048i | 0.0979353 | − | 0.995193i | \(-0.468776\pi\) |
0.520035 | + | 0.854145i | \(0.325919\pi\) | |||||||
\(242\) | −1.06696e7 | + | 2.43526e6i | −0.752836 | + | 0.171830i | ||||
\(243\) | −8.83344e6 | − | 7.04443e6i | −0.615617 | − | 0.490939i | ||||
\(244\) | 551934. | + | 1.14610e6i | 0.0379942 | + | 0.0788958i | ||||
\(245\) | −6.21176e6 | − | 1.41779e6i | −0.422393 | − | 0.0964084i | ||||
\(246\) | −3.03929e6 | + | 1.46364e6i | −0.204158 | + | 0.0983173i | ||||
\(247\) | −3.79854e7 | + | 3.02924e7i | −2.52073 | + | 2.01021i | ||||
\(248\) | 2.00996e7 | − | 4.58760e6i | 1.31775 | − | 0.300768i | ||||
\(249\) | 2.95042e6 | − | 2.35288e6i | 0.191111 | − | 0.152406i | ||||
\(250\) | 2.14101e6 | − | 9.38038e6i | 0.137025 | − | 0.600345i | ||||
\(251\) | −1.43156e7 | −0.905293 | −0.452646 | − | 0.891690i | \(-0.649520\pi\) | ||||
−0.452646 | + | 0.891690i | \(0.649520\pi\) | |||||||
\(252\) | − | 65440.1i | − | 0.00408924i | ||||||
\(253\) | 761790. | − | 3.33762e6i | 0.0470407 | − | 0.206099i | ||||
\(254\) | 1.24266e7 | + | 9.90987e6i | 0.758317 | + | 0.604737i | ||||
\(255\) | 1.21704e6 | + | 586098.i | 0.0733983 | + | 0.0353468i | ||||
\(256\) | 1.45505e7 | − | 7.00717e6i | 0.867280 | − | 0.417660i | ||||
\(257\) | − | 1.85802e7i | − | 1.09459i | −0.836940 | − | 0.547295i | \(-0.815658\pi\) | ||
0.836940 | − | 0.547295i | \(-0.184342\pi\) | |||||||
\(258\) | −1.63289e6 | − | 1.00405e7i | −0.0950821 | − | 0.584653i | ||||
\(259\) | 321515. | 0.0185056 | ||||||||
\(260\) | −2.32106e6 | − | 4.81973e6i | −0.132059 | − | 0.274222i | ||||
\(261\) | 4.43895e6 | − | 9.21757e6i | 0.249665 | − | 0.518436i | ||||
\(262\) | 9.10554e6 | − | 1.14180e7i | 0.506293 | − | 0.634871i | ||||
\(263\) | 2.41181e7 | + | 5.50480e6i | 1.32579 | + | 0.302604i | 0.826063 | − | 0.563577i | \(-0.190575\pi\) |
0.499730 | + | 0.866181i | \(0.333433\pi\) | |||||||
\(264\) | −1.84303e6 | −0.100166 | ||||||||
\(265\) | − | 3.45612e6i | − | 0.185717i | ||||||
\(266\) | −629628. | − | 143708.i | −0.0334533 | − | 0.00763550i | ||||
\(267\) | 265029. | + | 332336.i | 0.0139239 | + | 0.0174600i | ||||
\(268\) | 2.89910e6 | + | 1.27018e7i | 0.150612 | + | 0.659874i | ||||
\(269\) | −1.19359e6 | − | 1.49672e6i | −0.0613197 | − | 0.0768924i | 0.750226 | − | 0.661182i | \(-0.229945\pi\) |
−0.811545 | + | 0.584289i | \(0.801373\pi\) | |||||||
\(270\) | −3.13380e6 | − | 6.50740e6i | −0.159213 | − | 0.330610i | ||||
\(271\) | 2.33174e6 | − | 1.02160e7i | 0.117158 | − | 0.513302i | −0.881961 | − | 0.471323i | \(-0.843777\pi\) |
0.999118 | − | 0.0419792i | \(-0.0133663\pi\) | |||||||
\(272\) | −2.10027e6 | + | 1.01144e6i | −0.104368 | + | 0.0502612i | ||||
\(273\) | −431587. | + | 541193.i | −0.0212119 | + | 0.0265989i | ||||
\(274\) | 1.74037e6 | + | 7.62505e6i | 0.0846037 | + | 0.370673i | ||||
\(275\) | 458660. | + | 2.00952e6i | 0.0220543 | + | 0.0966261i | ||||
\(276\) | −4.60322e6 | + | 9.55869e6i | −0.218945 | + | 0.454644i | ||||
\(277\) | −8.93733e6 | − | 7.12728e6i | −0.420502 | − | 0.335339i | 0.390271 | − | 0.920700i | \(-0.372381\pi\) |
−0.810773 | + | 0.585361i | \(0.800953\pi\) | |||||||
\(278\) | 1.78758e7 | − | 1.42555e7i | 0.832016 | − | 0.663511i | ||||
\(279\) | −1.04464e7 | − | 5.03073e6i | −0.481011 | − | 0.231643i | ||||
\(280\) | 110877. | − | 230239.i | 0.00505089 | − | 0.0104883i | ||||
\(281\) | −2.17844e7 | − | 2.73168e7i | −0.981810 | − | 1.23115i | −0.972909 | − | 0.231190i | \(-0.925738\pi\) |
−0.00890148 | − | 0.999960i | \(-0.502833\pi\) | |||||||
\(282\) | 6.47944e6 | − | 8.12496e6i | 0.288928 | − | 0.362304i | ||||
\(283\) | −3.32220e6 | − | 1.59989e6i | −0.146577 | − | 0.0705879i | 0.359157 | − | 0.933277i | \(-0.383064\pi\) |
−0.505735 | + | 0.862689i | \(0.668778\pi\) | |||||||
\(284\) | −3.14251e6 | + | 717258.i | −0.137190 | + | 0.0313127i | ||||
\(285\) | 1.30900e7 | − | 2.98770e6i | 0.565462 | − | 0.129063i | ||||
\(286\) | −3.18642e6 | − | 2.54108e6i | −0.136209 | − | 0.108623i | ||||
\(287\) | 97012.6 | + | 201449.i | 0.00410377 | + | 0.00852156i | ||||
\(288\) | −7.20288e6 | − | 1.64401e6i | −0.301529 | − | 0.0688220i | ||||
\(289\) | 2.04023e7 | − | 9.82522e6i | 0.845250 | − | 0.407051i | ||||
\(290\) | 8.69154e6 | − | 6.93127e6i | 0.356371 | − | 0.284197i | ||||
\(291\) | 3.23442e6 | − | 738235.i | 0.131255 | − | 0.0299582i | ||||
\(292\) | 9.67952e6 | − | 7.71916e6i | 0.388781 | − | 0.310043i | ||||
\(293\) | −8.61396e6 | + | 3.77402e7i | −0.342452 | + | 1.50038i | 0.451428 | + | 0.892307i | \(0.350915\pi\) |
−0.793880 | + | 0.608074i | \(0.791942\pi\) | |||||||
\(294\) | 1.50433e7 | 0.591972 | ||||||||
\(295\) | 1.05740e7i | 0.411883i | ||||||||
\(296\) | 4.69131e6 | − | 2.05540e7i | 0.180892 | − | 0.792540i | ||||
\(297\) | 2.69940e6 | + | 2.15270e6i | 0.103038 | + | 0.0821701i | ||||
\(298\) | −3.37422e7 | − | 1.62494e7i | −1.27504 | − | 0.614028i | ||||
\(299\) | −7.59633e7 | + | 3.65820e7i | −2.84178 | + | 1.36853i | ||||
\(300\) | − | 6.38770e6i | − | 0.236581i | ||||||
\(301\) | −665503. | + | 108231.i | −0.0244034 | + | 0.00396873i | ||||
\(302\) | −585728. | −0.0212655 | ||||||||
\(303\) | −5.79586e6 | − | 1.20352e7i | −0.208348 | − | 0.432640i | ||||
\(304\) | −1.00533e7 | + | 2.08759e7i | −0.357839 | + | 0.743061i | ||||
\(305\) | 1.74185e6 | − | 2.18421e6i | 0.0613919 | − | 0.0769830i | ||||
\(306\) | 2.33604e6 | + | 533185.i | 0.0815297 | + | 0.0186086i | ||||
\(307\) | 1.39653e7 | 0.482652 | 0.241326 | − | 0.970444i | \(-0.422418\pi\) | ||||
0.241326 | + | 0.970444i | \(0.422418\pi\) | |||||||
\(308\) | 33992.1i | 0.00116339i | ||||||||
\(309\) | −2.21465e7 | − | 5.05480e6i | −0.750637 | − | 0.171328i | ||||
\(310\) | −7.85533e6 | − | 9.85027e6i | −0.263681 | − | 0.330646i | ||||
\(311\) | −2.58768e6 | − | 1.13373e7i | −0.0860258 | − | 0.376904i | 0.913528 | − | 0.406776i | \(-0.133347\pi\) |
−0.999554 | + | 0.0298724i | \(0.990490\pi\) | |||||||
\(312\) | 2.83003e7 | + | 3.54874e7i | 0.931809 | + | 1.16845i | ||||
\(313\) | 8.22416e6 | + | 1.70776e7i | 0.268200 | + | 0.556922i | 0.990957 | − | 0.134179i | \(-0.0428399\pi\) |
−0.722757 | + | 0.691102i | \(0.757126\pi\) | |||||||
\(314\) | 370556. | − | 1.62351e6i | 0.0119692 | − | 0.0524404i | ||||
\(315\) | −129486. | + | 62356.9i | −0.00414276 | + | 0.00199505i | ||||
\(316\) | −4.68445e6 | + | 5.87412e6i | −0.148456 | + | 0.186158i | ||||
\(317\) | 9.30163e6 | + | 4.07531e7i | 0.291999 | + | 1.27933i | 0.881739 | + | 0.471738i | \(0.156373\pi\) |
−0.589740 | + | 0.807593i | \(0.700770\pi\) | |||||||
\(318\) | 1.81577e6 | + | 7.95540e6i | 0.0564650 | + | 0.247389i | ||||
\(319\) | −2.30576e6 | + | 4.78795e6i | −0.0710300 | + | 0.147495i | ||||
\(320\) | −1.14501e7 | − | 9.13116e6i | −0.349430 | − | 0.278661i | ||||
\(321\) | 3.60656e7 | − | 2.87614e7i | 1.09038 | − | 0.869549i | ||||
\(322\) | −1.00975e6 | − | 486268.i | −0.0302443 | − | 0.0145649i | ||||
\(323\) | −6.43767e6 | + | 1.33680e7i | −0.191039 | + | 0.396696i | ||||
\(324\) | −3.16384e6 | − | 3.96733e6i | −0.0930207 | − | 0.116644i | ||||
\(325\) | 3.16504e7 | − | 3.96883e7i | 0.921996 | − | 1.15615i | ||||
\(326\) | −8.04499e6 | − | 3.87426e6i | −0.232206 | − | 0.111824i | ||||
\(327\) | −2.44862e7 | + | 5.58882e6i | −0.700291 | + | 0.159837i | ||||
\(328\) | 1.42939e7 | − | 3.26248e6i | 0.405068 | − | 0.0924542i | ||||
\(329\) | −538535. | − | 429468.i | −0.0151226 | − | 0.0120599i | ||||
\(330\) | 488681. | + | 1.01476e6i | 0.0135983 | + | 0.0282371i | ||||
\(331\) | −8.51322e6 | − | 1.94309e6i | −0.234752 | − | 0.0535807i | 0.103526 | − | 0.994627i | \(-0.466987\pi\) |
−0.338278 | + | 0.941046i | \(0.609845\pi\) | |||||||
\(332\) | −4.11195e6 | + | 1.98021e6i | −0.112366 | + | 0.0541125i | ||||
\(333\) | −9.27000e6 | + | 7.39258e6i | −0.251042 | + | 0.200200i | ||||
\(334\) | −1.64855e7 | + | 3.76271e6i | −0.442449 | + | 0.100986i | ||||
\(335\) | 2.23704e7 | − | 1.78398e7i | 0.595030 | − | 0.474521i | ||||
\(336\) | −73458.4 | + | 321842.i | −0.00193653 | + | 0.00848449i | ||||
\(337\) | 5.21802e7 | 1.36338 | 0.681688 | − | 0.731643i | \(-0.261246\pi\) | ||||
0.681688 | + | 0.731643i | \(0.261246\pi\) | |||||||
\(338\) | 7.01046e7i | 1.81550i | ||||||||
\(339\) | −8.24508e6 | + | 3.61240e7i | −0.211639 | + | 0.927251i | ||||
\(340\) | −1.27726e6 | − | 1.01858e6i | −0.0324968 | − | 0.0259154i | ||||
\(341\) | 5.42627e6 | + | 2.61315e6i | 0.136848 | + | 0.0659025i | ||||
\(342\) | 2.14579e7 | − | 1.03336e7i | 0.536424 | − | 0.258328i | ||||
\(343\) | − | 1.99480e6i | − | 0.0494329i | ||||||
\(344\) | −2.79150e6 | + | 4.41239e7i | −0.0685743 | + | 1.08392i | ||||
\(345\) | 2.33000e7 | 0.567413 | ||||||||
\(346\) | −9.33455e6 | − | 1.93834e7i | −0.225354 | − | 0.467952i | ||||
\(347\) | −1.47842e7 | + | 3.06998e7i | −0.353843 | + | 0.734762i | −0.999585 | − | 0.0287928i | \(-0.990834\pi\) |
0.645742 | + | 0.763555i | \(0.276548\pi\) | |||||||
\(348\) | 1.02682e7 | − | 1.28759e7i | 0.243644 | − | 0.305520i | ||||
\(349\) | 5.97958e7 | + | 1.36480e7i | 1.40668 | + | 0.321065i | 0.857433 | − | 0.514596i | \(-0.172058\pi\) |
0.549245 | + | 0.835661i | \(0.314915\pi\) | |||||||
\(350\) | 674773. | 0.0157381 | ||||||||
\(351\) | − | 8.50322e7i | − | 1.96636i | ||||||
\(352\) | 3.74145e6 | + | 853961.i | 0.0857851 | + | 0.0195799i | ||||
\(353\) | −8.64043e6 | − | 1.08348e7i | −0.196432 | − | 0.246317i | 0.673854 | − | 0.738864i | \(-0.264637\pi\) |
−0.870286 | + | 0.492547i | \(0.836066\pi\) | |||||||
\(354\) | −5.55534e6 | − | 2.43396e7i | −0.125228 | − | 0.548659i | ||||
\(355\) | 4.41369e6 | + | 5.53459e6i | 0.0986544 | + | 0.123709i | ||||
\(356\) | −223052. | − | 463172.i | −0.00494374 | − | 0.0102658i | ||||
\(357\) | −47039.4 | + | 206093.i | −0.00103385 | + | 0.00452958i | ||||
\(358\) | 173645. | − | 83622.8i | 0.00378453 | − | 0.00182253i | ||||
\(359\) | −1.12407e7 | + | 1.40954e7i | −0.242946 | + | 0.304644i | −0.888322 | − | 0.459220i | \(-0.848129\pi\) |
0.645377 | + | 0.763864i | \(0.276700\pi\) | |||||||
\(360\) | 2.09703e6 | + | 9.18769e6i | 0.0449466 | + | 0.196924i | ||||
\(361\) | 2.23480e7 | + | 9.79131e7i | 0.475026 | + | 2.08123i | ||||
\(362\) | −9.12583e6 | + | 1.89500e7i | −0.192374 | + | 0.399469i | ||||
\(363\) | 2.78378e7 | + | 2.21999e7i | 0.581990 | + | 0.464122i | ||||
\(364\) | 654516. | − | 521959.i | 0.0135711 | − | 0.0108226i | ||||
\(365\) | −2.44973e7 | − | 1.17973e7i | −0.503778 | − | 0.242607i | ||||
\(366\) | −2.86190e6 | + | 5.94281e6i | −0.0583730 | + | 0.121213i | ||||
\(367\) | −1.98184e7 | − | 2.48515e7i | −0.400932 | − | 0.502753i | 0.539852 | − | 0.841760i | \(-0.318480\pi\) |
−0.940784 | + | 0.339007i | \(0.889909\pi\) | |||||||
\(368\) | −2.50700e7 | + | 3.14368e7i | −0.503051 | + | 0.630806i | ||||
\(369\) | −7.42899e6 | − | 3.57761e6i | −0.147860 | − | 0.0712056i | ||||
\(370\) | −1.25608e7 | + | 2.86691e6i | −0.247977 | + | 0.0565990i | ||||
\(371\) | 527297. | − | 120352.i | 0.0103260 | − | 0.00235685i | ||||
\(372\) | −1.45925e7 | − | 1.16371e7i | −0.283465 | − | 0.226056i | ||||
\(373\) | −3.65843e7 | − | 7.59681e7i | −0.704967 | − | 1.46388i | −0.877850 | − | 0.478936i | \(-0.841023\pi\) |
0.172883 | − | 0.984942i | \(-0.444692\pi\) | |||||||
\(374\) | −1.21343e6 | − | 276957.i | −0.0231952 | − | 0.00529416i | ||||
\(375\) | −2.82037e7 | + | 1.35822e7i | −0.534826 | + | 0.257559i | ||||
\(376\) | −3.53132e7 | + | 2.81613e7i | −0.664313 | + | 0.529772i | ||||
\(377\) | 1.27598e8 | − | 2.91233e7i | 2.38132 | − | 0.543521i | ||||
\(378\) | 883699. | − | 704727.i | 0.0163617 | − | 0.0130480i | ||||
\(379\) | −6.16825e6 | + | 2.70249e7i | −0.113304 | + | 0.496416i | 0.886151 | + | 0.463397i | \(0.153369\pi\) |
−0.999455 | + | 0.0330195i | \(0.989488\pi\) | |||||||
\(380\) | −1.62380e7 | −0.295926 | ||||||||
\(381\) | − | 5.17115e7i | − | 0.935000i | ||||||
\(382\) | −4.92517e6 | + | 2.15786e7i | −0.0883550 | + | 0.387108i | ||||
\(383\) | 3.27349e7 | + | 2.61052e7i | 0.582660 | + | 0.464656i | 0.869917 | − | 0.493198i | \(-0.164172\pi\) |
−0.287257 | + | 0.957853i | \(0.592743\pi\) | |||||||
\(384\) | 3.36091e6 | + | 1.61853e6i | 0.0593557 | + | 0.0285842i | ||||
\(385\) | 67259.7 | − | 32390.5i | 0.00117862 | − | 0.000567592i | ||||
\(386\) | − | 5.98219e7i | − | 1.04016i | ||||||
\(387\) | 1.66994e7 | − | 1.84224e7i | 0.288116 | − | 0.317844i | ||||
\(388\) | −4.01228e6 | −0.0686905 | ||||||||
\(389\) | 643947. | + | 1.33717e6i | 0.0109396 | + | 0.0227163i | 0.906367 | − | 0.422491i | \(-0.138844\pi\) |
−0.895427 | + | 0.445207i | \(0.853130\pi\) | |||||||
\(390\) | 1.20352e7 | − | 2.49914e7i | 0.202890 | − | 0.421306i | ||||
\(391\) | −1.60537e7 | + | 2.01307e7i | −0.268562 | + | 0.336766i | ||||
\(392\) | −6.37428e7 | − | 1.45489e7i | −1.05821 | − | 0.241530i | ||||
\(393\) | −4.75143e7 | −0.782793 | ||||||||
\(394\) | − | 6.61196e7i | − | 1.08104i | ||||||
\(395\) | 1.60868e7 | + | 3.67171e6i | 0.261023 | + | 0.0595767i | ||||
\(396\) | −781577. | − | 980067.i | −0.0125860 | − | 0.0157823i | ||||
\(397\) | 4.66310e6 | + | 2.04304e7i | 0.0745252 | + | 0.326516i | 0.998424 | − | 0.0561206i | \(-0.0178731\pi\) |
−0.923899 | + | 0.382637i | \(0.875016\pi\) | |||||||
\(398\) | −2.34968e7 | − | 2.94641e7i | −0.372701 | − | 0.467352i | ||||
\(399\) | 911660. | + | 1.89308e6i | 0.0143521 | + | 0.0298024i | ||||
\(400\) | 5.38707e6 | − | 2.36023e7i | 0.0841729 | − | 0.368786i | ||||
\(401\) | −2.98004e7 | + | 1.43511e7i | −0.462156 | + | 0.222563i | −0.650449 | − | 0.759550i | \(-0.725419\pi\) |
0.188292 | + | 0.982113i | \(0.439705\pi\) | |||||||
\(402\) | −4.21202e7 | + | 5.28171e7i | −0.648354 | + | 0.813010i | ||||
\(403\) | −3.30059e7 | − | 1.44608e8i | −0.504286 | − | 2.20942i | ||||
\(404\) | 3.59487e6 | + | 1.57501e7i | 0.0545179 | + | 0.238858i | ||||
\(405\) | −4.83533e6 | + | 1.00407e7i | −0.0727882 | + | 0.151146i | ||||
\(406\) | 1.36016e6 | + | 1.08469e6i | 0.0203242 | + | 0.0162080i | ||||
\(407\) | 4.81519e6 | − | 3.83998e6i | 0.0714216 | − | 0.0569569i | ||||
\(408\) | 1.24889e7 | + | 6.01432e6i | 0.183883 | + | 0.0885535i | ||||
\(409\) | 3.53765e7 | − | 7.34601e7i | 0.517065 | − | 1.07370i | −0.465027 | − | 0.885296i | \(-0.653955\pi\) |
0.982092 | − | 0.188400i | \(-0.0603303\pi\) | |||||||
\(410\) | −5.58633e6 | − | 7.00503e6i | −0.0810541 | − | 0.101639i | ||||
\(411\) | 1.58653e7 | − | 1.98944e7i | 0.228519 | − | 0.286554i | ||||
\(412\) | 2.47520e7 | + | 1.19199e7i | 0.353931 | + | 0.170444i | ||||
\(413\) | −1.61327e6 | + | 368217.i | −0.0229011 | + | 0.00522702i | ||||
\(414\) | 4.02939e7 | − | 9.19682e6i | 0.567856 | − | 0.129610i | ||||
\(415\) | 7.83644e6 | + | 6.24935e6i | 0.109641 | + | 0.0874361i | ||||
\(416\) | −4.10081e7 | − | 8.51543e7i | −0.569626 | − | 1.18284i | ||||
\(417\) | −7.25227e7 | − | 1.65528e7i | −1.00015 | − | 0.228278i | ||||
\(418\) | −1.11460e7 | + | 5.36764e6i | −0.152613 | + | 0.0734945i | ||||
\(419\) | −2.57557e7 | + | 2.05395e7i | −0.350131 | + | 0.279220i | −0.782724 | − | 0.622369i | \(-0.786170\pi\) |
0.432593 | + | 0.901590i | \(0.357599\pi\) | |||||||
\(420\) | −225549. | + | 51480.2i | −0.00304434 | + | 0.000694852i | ||||
\(421\) | 2.34616e7 | − | 1.87100e7i | 0.314421 | − | 0.250742i | −0.453545 | − | 0.891234i | \(-0.649841\pi\) |
0.767965 | + | 0.640491i | \(0.221269\pi\) | |||||||
\(422\) | −1.33872e7 | + | 5.86532e7i | −0.178136 | + | 0.780467i | ||||
\(423\) | 2.54019e7 | 0.335618 | ||||||||
\(424\) | − | 3.54654e7i | − | 0.465273i | ||||||
\(425\) | 3.44963e6 | − | 1.51138e7i | 0.0449371 | − | 0.196882i | ||||
\(426\) | −1.30673e7 | − | 1.04208e7i | −0.169027 | − | 0.134795i | ||||
\(427\) | 393899. | + | 189692.i | 0.00505942 | + | 0.00243649i | ||||
\(428\) | −5.02641e7 | + | 2.42059e7i | −0.641101 | + | 0.308738i | ||||
\(429\) | 1.32598e7i | 0.167945i | ||||||||
\(430\) | 2.50344e7 | − | 1.01625e7i | 0.314870 | − | 0.127819i | ||||
\(431\) | 1.00993e8 | 1.26141 | 0.630707 | − | 0.776021i | \(-0.282765\pi\) | ||||
0.630707 | + | 0.776021i | \(0.282765\pi\) | |||||||
\(432\) | −1.75950e7 | − | 3.65363e7i | −0.218242 | − | 0.453183i | ||||
\(433\) | 3.17879e6 | − | 6.60082e6i | 0.0391560 | − | 0.0813082i | −0.880473 | − | 0.474096i | \(-0.842775\pi\) |
0.919629 | + | 0.392788i | \(0.128489\pi\) | |||||||
\(434\) | 1.22930e6 | − | 1.54149e6i | 0.0150380 | − | 0.0188570i | ||||
\(435\) | −3.52618e7 | − | 8.04827e6i | −0.428387 | − | 0.0977766i | ||||
\(436\) | 3.03751e7 | 0.366486 | ||||||||
\(437\) | 2.55926e8i | 3.06669i | ||||||||
\(438\) | 6.25866e7 | + | 1.42850e7i | 0.744833 | + | 0.170003i | ||||
\(439\) | 1.38755e7 | + | 1.73993e7i | 0.164004 | + | 0.205655i | 0.857042 | − | 0.515246i | \(-0.172300\pi\) |
−0.693038 | + | 0.720901i | \(0.743728\pi\) | |||||||
\(440\) | −1.08928e6 | − | 4.77243e6i | −0.0127873 | − | 0.0560250i | ||||
\(441\) | 2.29261e7 | + | 2.87484e7i | 0.267310 | + | 0.335196i | ||||
\(442\) | 1.32998e7 | + | 2.76172e7i | 0.154020 | + | 0.319826i | ||||
\(443\) | −2.96466e7 | + | 1.29890e8i | −0.341007 | + | 1.49405i | 0.455946 | + | 0.890008i | \(0.349301\pi\) |
−0.796953 | + | 0.604042i | \(0.793556\pi\) | |||||||
\(444\) | −1.71963e7 | + | 8.28128e6i | −0.196465 | + | 0.0946125i | ||||
\(445\) | −703930. | + | 882700.i | −0.00798820 | + | 0.0100169i | ||||
\(446\) | −2.56546e7 | − | 1.12400e8i | −0.289174 | − | 1.26696i | ||||
\(447\) | 2.71133e7 | + | 1.18791e8i | 0.303571 | + | 1.33003i | ||||
\(448\) | 994406. | − | 2.06490e6i | 0.0110593 | − | 0.0229650i | ||||
\(449\) | −5.54818e7 | − | 4.42453e7i | −0.612931 | − | 0.488796i | 0.267128 | − | 0.963661i | \(-0.413925\pi\) |
−0.880059 | + | 0.474865i | \(0.842497\pi\) | |||||||
\(450\) | −1.94552e7 | + | 1.55150e7i | −0.213500 | + | 0.170261i | ||||
\(451\) | 3.85890e6 | + | 1.85835e6i | 0.0420662 | + | 0.0202580i | ||||
\(452\) | 1.94431e7 | − | 4.03740e7i | 0.210547 | − | 0.437206i | ||||
\(453\) | 1.18816e6 | + | 1.48990e6i | 0.0127814 | + | 0.0160274i | ||||
\(454\) | −4.06615e7 | + | 5.09879e7i | −0.434526 | + | 0.544879i | ||||
\(455\) | −1.65647e6 | − | 797715.i | −0.0175853 | − | 0.00846864i | ||||
\(456\) | 1.34324e8 | − | 3.06586e7i | 1.41664 | − | 0.323339i | ||||
\(457\) | −1.77087e7 | + | 4.04189e6i | −0.185540 | + | 0.0423483i | −0.314281 | − | 0.949330i | \(-0.601763\pi\) |
0.128741 | + | 0.991678i | \(0.458906\pi\) | |||||||
\(458\) | −6.68548e6 | − | 5.33149e6i | −0.0695883 | − | 0.0554948i | ||||
\(459\) | −1.12670e7 | − | 2.33962e7i | −0.116512 | − | 0.241939i | ||||
\(460\) | −2.74724e7 | − | 6.27040e6i | −0.282243 | − | 0.0644201i | ||||
\(461\) | 1.08540e8 | − | 5.22699e7i | 1.10786 | − | 0.533518i | 0.211739 | − | 0.977326i | \(-0.432087\pi\) |
0.896122 | + | 0.443808i | \(0.146373\pi\) | |||||||
\(462\) | −137803. | + | 109894.i | −0.00139744 | + | 0.00111442i | ||||
\(463\) | 3.65930e7 | − | 8.35212e6i | 0.368685 | − | 0.0841499i | −0.0341645 | − | 0.999416i | \(-0.510877\pi\) |
0.402849 | + | 0.915266i | \(0.368020\pi\) | |||||||
\(464\) | 4.87994e7 | − | 3.89162e7i | 0.488496 | − | 0.389562i | ||||
\(465\) | −9.12124e6 | + | 3.99628e7i | −0.0907184 | + | 0.397463i | ||||
\(466\) | 1.16034e8 | 1.14665 | ||||||||
\(467\) | 4.80104e7i | 0.471394i | 0.971827 | + | 0.235697i | \(0.0757374\pi\) | ||||
−0.971827 | + | 0.235697i | \(0.924263\pi\) | |||||||
\(468\) | −6.86978e6 | + | 3.00985e7i | −0.0670201 | + | 0.293634i | ||||
\(469\) | 3.50080e6 | + | 2.79180e6i | 0.0339351 | + | 0.0270623i | ||||
\(470\) | 2.48687e7 | + | 1.19761e7i | 0.239530 | + | 0.115351i | ||||
\(471\) | −4.88136e6 | + | 2.35074e6i | −0.0467173 | + | 0.0224979i | ||||
\(472\) | 1.08506e8i | 1.03188i | ||||||||
\(473\) | −8.67430e6 | + | 9.56930e6i | −0.0819692 | + | 0.0904267i | ||||
\(474\) | −3.89581e7 | −0.365816 | ||||||||
\(475\) | −6.68565e7 | − | 1.38829e8i | −0.623825 | − | 1.29539i | ||||
\(476\) | 110926. | − | 230339.i | 0.00102852 | − | 0.00213573i | ||||
\(477\) | −1.24359e7 | + | 1.55941e7i | −0.114583 | + | 0.143683i | ||||
\(478\) | −2.96069e7 | − | 6.75757e6i | −0.271087 | − | 0.0618738i | ||||
\(479\) | 9.97778e7 | 0.907877 | 0.453939 | − | 0.891033i | \(-0.350019\pi\) | ||||
0.453939 | + | 0.891033i | \(0.350019\pi\) | |||||||
\(480\) | 2.61191e7i | 0.236176i | ||||||||
\(481\) | −1.47877e8 | − | 3.37521e7i | −1.32882 | − | 0.303295i | ||||
\(482\) | −3.46906e7 | − | 4.35006e7i | −0.309792 | − | 0.388467i | ||||
\(483\) | 811374. | + | 3.55486e6i | 0.00720078 | + | 0.0315487i | ||||
\(484\) | −2.68485e7 | − | 3.36669e7i | −0.236801 | − | 0.296939i | ||||
\(485\) | 3.82325e6 | + | 7.93906e6i | 0.0335125 | + | 0.0695895i | ||||
\(486\) | −1.57661e7 | + | 6.90757e7i | −0.137346 | + | 0.601750i | ||||
\(487\) | −1.79596e7 | + | 8.64891e6i | −0.155493 | + | 0.0748815i | −0.510012 | − | 0.860167i | \(-0.670359\pi\) |
0.354519 | + | 0.935049i | \(0.384645\pi\) | |||||||
\(488\) | 1.78742e7 | − | 2.24135e7i | 0.153804 | − | 0.192864i | ||||
\(489\) | 6.46450e6 | + | 2.83228e7i | 0.0552851 | + | 0.242220i | ||||
\(490\) | 8.89097e6 | + | 3.89539e7i | 0.0755720 | + | 0.331102i | ||||
\(491\) | −9.24385e7 | + | 1.91951e8i | −0.780924 | + | 1.62160i | 0.00240532 | + | 0.999997i | \(0.499234\pi\) |
−0.783329 | + | 0.621607i | \(0.786480\pi\) | |||||||
\(492\) | −1.03775e7 | − | 8.27575e6i | −0.0871356 | − | 0.0694883i | ||||
\(493\) | 3.12489e7 | − | 2.49201e7i | 0.260792 | − | 0.207974i | ||||
\(494\) | 2.74504e8 | + | 1.32194e8i | 2.27703 | + | 1.09656i | ||||
\(495\) | −1.19449e6 | + | 2.48039e6i | −0.00984845 | + | 0.0204505i | ||||
\(496\) | −4.41044e7 | − | 5.53052e7i | −0.361441 | − | 0.453232i | ||||
\(497\) | −690709. | + | 866122.i | −0.00562634 | + | 0.00705521i | ||||
\(498\) | −2.13214e7 | − | 1.02679e7i | −0.172635 | − | 0.0831365i | ||||
\(499\) | 5.80075e6 | − | 1.32398e6i | 0.0466856 | − | 0.0106557i | −0.199114 | − | 0.979976i | \(-0.563807\pi\) |
0.245800 | + | 0.969321i | \(0.420949\pi\) | |||||||
\(500\) | 3.69094e7 | − | 8.42432e6i | 0.295275 | − | 0.0673946i | ||||
\(501\) | 4.30122e7 | + | 3.43011e7i | 0.342041 | + | 0.272769i | ||||
\(502\) | 3.89511e7 | + | 8.08828e7i | 0.307899 | + | 0.639359i | ||||
\(503\) | −1.45192e8 | − | 3.31392e7i | −1.14088 | − | 0.260398i | −0.389985 | − | 0.920821i | \(-0.627520\pi\) |
−0.750894 | + | 0.660423i | \(0.770377\pi\) | |||||||
\(504\) | −1.32873e6 | + | 639884.i | −0.0103788 | + | 0.00499815i | ||||
\(505\) | 2.77391e7 | − | 2.21212e7i | 0.215387 | − | 0.171765i | ||||
\(506\) | −2.09302e7 | + | 4.77718e6i | −0.161555 | + | 0.0368740i | ||||
\(507\) | 1.78323e8 | − | 1.42208e8i | 1.36831 | − | 1.09119i | ||||
\(508\) | −1.39164e7 | + | 6.09715e7i | −0.106153 | + | 0.465089i | ||||
\(509\) | 5.74155e7 | 0.435388 | 0.217694 | − | 0.976017i | \(-0.430147\pi\) | ||||
0.217694 | + | 0.976017i | \(0.430147\pi\) | |||||||
\(510\) | − | 8.47096e6i | − | 0.0638590i | ||||||
\(511\) | 946832. | − | 4.14834e6i | 0.00709594 | − | 0.0310894i | ||||
\(512\) | −8.83292e7 | − | 7.04402e7i | −0.658103 | − | 0.524820i | ||||
\(513\) | −2.32549e8 | − | 1.11990e8i | −1.72251 | − | 0.829517i | ||||
\(514\) | −1.04978e8 | + | 5.05546e7i | −0.773050 | + | 0.372281i | ||||
\(515\) | − | 6.03348e7i | − | 0.441719i | ||||||
\(516\) | 3.28068e7 | − | 2.29301e7i | 0.238789 | − | 0.166900i | ||||
\(517\) | −1.31947e7 | −0.0954834 | ||||||||
\(518\) | −874804. | − | 1.81655e6i | −0.00629392 | − | 0.0130695i | ||||
\(519\) | −3.03698e7 | + | 6.30635e7i | −0.217240 | + | 0.451103i | ||||
\(520\) | −7.51668e7 | + | 9.42562e7i | −0.534584 | + | 0.670347i | ||||
\(521\) | −1.30686e8 | − | 2.98282e7i | −0.924093 | − | 0.210918i | −0.266103 | − | 0.963945i | \(-0.585736\pi\) |
−0.657990 | + | 0.753026i | \(0.728593\pi\) | |||||||
\(522\) | −6.41568e7 | −0.451057 | ||||||||
\(523\) | − | 2.28987e8i | − | 1.60068i | −0.599545 | − | 0.800341i | \(-0.704652\pi\) | ||
0.599545 | − | 0.800341i | \(-0.295348\pi\) | |||||||
\(524\) | 5.60228e7 | + | 1.27868e7i | 0.389378 | + | 0.0888729i | ||||
\(525\) | −1.36878e6 | − | 1.71640e6i | −0.00945926 | − | 0.0118615i | ||||
\(526\) | −3.45205e7 | − | 1.51244e8i | −0.237203 | − | 1.03925i | ||||
\(527\) | −2.82424e7 | − | 3.54149e7i | −0.192961 | − | 0.241966i | ||||
\(528\) | 2.74374e6 | + | 5.69743e6i | 0.0186398 | + | 0.0387059i | ||||
\(529\) | −6.58860e7 | + | 2.88665e8i | −0.445068 | + | 1.94997i | ||||
\(530\) | −1.95270e7 | + | 9.40369e6i | −0.131162 | + | 0.0631641i | ||||
\(531\) | 3.80476e7 | − | 4.77102e7i | 0.254123 | − | 0.318660i | ||||
\(532\) | −565456. | − | 2.47742e6i | −0.00375546 | − | 0.0164538i | ||||
\(533\) | −2.34722e7 | − | 1.02838e8i | −0.155014 | − | 0.679163i | ||||
\(534\) | 1.15658e6 | − | 2.40165e6i | 0.00759539 | − | 0.0157720i | ||||
\(535\) | 9.57918e7 | + | 7.63914e7i | 0.625557 | + | 0.498865i | ||||
\(536\) | 2.29557e8 | − | 1.83065e8i | 1.49072 | − | 1.18881i | ||||
\(537\) | −564949. | − | 272065.i | −0.00364827 | − | 0.00175691i | ||||
\(538\) | −5.20879e6 | + | 1.08162e7i | −0.0334495 | + | 0.0694586i | ||||
\(539\) | −1.19087e7 | − | 1.49330e7i | −0.0760497 | − | 0.0953634i | ||||
\(540\) | 1.77192e7 | − | 2.22191e7i | 0.112528 | − | 0.141106i | ||||
\(541\) | −7.06053e7 | − | 3.40017e7i | −0.445908 | − | 0.214738i | 0.197435 | − | 0.980316i | \(-0.436739\pi\) |
−0.643343 | + | 0.765578i | \(0.722453\pi\) | |||||||
\(542\) | −6.40645e7 | + | 1.46223e7i | −0.402364 | + | 0.0918370i | ||||
\(543\) | 6.67144e7 | − | 1.52271e7i | 0.416697 | − | 0.0951083i | ||||
\(544\) | −2.25663e7 | − | 1.79961e7i | −0.140173 | − | 0.111784i | ||||
\(545\) | −2.89440e7 | − | 6.01028e7i | −0.178800 | − | 0.371283i | ||||
\(546\) | 4.23202e6 | + | 965931.i | 0.0259998 | + | 0.00593428i | ||||
\(547\) | −8.41249e7 | + | 4.05124e7i | −0.513999 | + | 0.247529i | −0.672857 | − | 0.739772i | \(-0.734933\pi\) |
0.158858 | + | 0.987301i | \(0.449219\pi\) | |||||||
\(548\) | −2.40602e7 | + | 1.91874e7i | −0.146203 | + | 0.116593i | ||||
\(549\) | −1.57186e7 | + | 3.58766e6i | −0.0949938 | + | 0.0216817i | ||||
\(550\) | 1.01058e7 | − | 8.05908e6i | 0.0607409 | − | 0.0484393i | ||||
\(551\) | 8.84018e7 | − | 3.87314e8i | 0.528453 | − | 2.31530i | ||||
\(552\) | 2.39096e8 | 1.42153 | ||||||||
\(553\) | 2.58221e6i | 0.0152692i | ||||||||
\(554\) | −1.59515e7 | + | 6.98881e7i | −0.0938150 | + | 0.411030i | ||||
\(555\) | 3.27721e7 | + | 2.61349e7i | 0.191702 | + | 0.152877i | ||||
\(556\) | 8.10548e7 | + | 3.90339e7i | 0.471579 | + | 0.227101i | ||||
\(557\) | −4.68582e7 | + | 2.25657e7i | −0.271157 | + | 0.130582i | −0.564521 | − | 0.825418i | \(-0.690939\pi\) |
0.293365 | + | 0.956001i | \(0.405225\pi\) | |||||||
\(558\) | 7.27100e7i | 0.418496i | ||||||||
\(559\) | 3.17453e8 | + | 2.00836e7i | 1.81737 | + | 0.114976i | ||||
\(560\) | −876811. | −0.00499278 | ||||||||
\(561\) | 1.75696e6 | + | 3.64837e6i | 0.00995117 | + | 0.0206638i | ||||
\(562\) | −9.50663e7 | + | 1.97407e8i | −0.535572 | + | 1.11213i | ||||
\(563\) | −4.29697e7 | + | 5.38823e7i | −0.240789 | + | 0.301940i | −0.887512 | − | 0.460785i | \(-0.847568\pi\) |
0.646722 | + | 0.762726i | \(0.276139\pi\) | |||||||
\(564\) | 3.98654e7 | + | 9.09902e6i | 0.222208 | + | 0.0507175i | ||||
\(565\) | −9.84145e7 | −0.545650 | ||||||||
\(566\) | 2.31234e7i | 0.127527i | ||||||||
\(567\) | −1.70027e6 | − | 388076.i | −0.00932760 | − | 0.00212896i | ||||
\(568\) | 4.52916e7 | + | 5.67939e7i | 0.247157 | + | 0.309925i | ||||
\(569\) | −4.02637e7 | − | 1.76407e8i | −0.218563 | − | 0.957587i | −0.958541 | − | 0.284956i | \(-0.908021\pi\) |
0.739978 | − | 0.672631i | \(-0.234836\pi\) | |||||||
\(570\) | −5.24966e7 | − | 6.58287e7i | −0.283470 | − | 0.355460i | ||||
\(571\) | −2.70007e7 | − | 5.60674e7i | −0.145033 | − | 0.301164i | 0.815780 | − | 0.578363i | \(-0.196308\pi\) |
−0.960813 | + | 0.277199i | \(0.910594\pi\) | |||||||
\(572\) | 3.56842e6 | − | 1.56343e7i | 0.0190673 | − | 0.0835391i | ||||
\(573\) | 6.48796e7 | − | 3.12444e7i | 0.344861 | − | 0.166076i | ||||
\(574\) | 874219. | − | 1.09624e6i | 0.00462258 | − | 0.00579653i | ||||
\(575\) | −5.95020e7 | − | 2.60695e8i | −0.312988 | − | 1.37129i | ||||
\(576\) | 1.88073e7 | + | 8.24001e7i | 0.0984144 | + | 0.431182i | ||||
\(577\) | 3.62652e7 | − | 7.53055e7i | 0.188783 | − | 0.392012i | −0.784998 | − | 0.619498i | \(-0.787336\pi\) |
0.973781 | + | 0.227486i | \(0.0730506\pi\) | |||||||
\(578\) | −1.11024e8 | − | 8.85389e7i | −0.574956 | − | 0.458512i | ||||
\(579\) | −1.52167e8 | + | 1.21349e8i | −0.783945 | + | 0.625176i | ||||
\(580\) | 3.94103e7 | + | 1.89790e7i | 0.201988 | + | 0.0972723i | ||||
\(581\) | −680570. | + | 1.41322e6i | −0.00347012 | + | 0.00720578i | ||||
\(582\) | −1.29715e7 | − | 1.62657e7i | −0.0657991 | − | 0.0825095i | ||||
\(583\) | 6.45967e6 | − | 8.10018e6i | 0.0325991 | − | 0.0408779i | ||||
\(584\) | −2.51382e8 | − | 1.21059e8i | −1.26211 | − | 0.607798i | ||||
\(585\) | 6.61016e7 | − | 1.50873e7i | 0.330175 | − | 0.0753603i | ||||
\(586\) | 2.36669e8 | − | 5.40180e7i | 1.17611 | − | 0.268439i | ||||
\(587\) | 2.59928e8 | + | 2.07286e8i | 1.28511 | + | 1.02484i | 0.997752 | + | 0.0670136i | \(0.0213471\pi\) |
0.287354 | + | 0.957824i | \(0.407224\pi\) | |||||||
\(588\) | 2.56822e7 | + | 5.33296e7i | 0.126328 | + | 0.262323i | ||||
\(589\) | −4.38949e8 | − | 1.00187e8i | −2.14817 | − | 0.490305i | ||||
\(590\) | 5.97427e7 | − | 2.87706e7i | 0.290890 | − | 0.140085i | ||||
\(591\) | −1.68187e8 | + | 1.34124e8i | −0.814759 | + | 0.649748i | ||||
\(592\) | −7.05235e7 | + | 1.60965e7i | −0.339914 | + | 0.0775831i | ||||
\(593\) | 2.30652e8 | − | 1.83939e8i | 1.10610 | − | 0.882083i | 0.112342 | − | 0.993670i | \(-0.464165\pi\) |
0.993755 | + | 0.111587i | \(0.0355933\pi\) | |||||||
\(594\) | 4.81793e6 | − | 2.11088e7i | 0.0229880 | − | 0.100717i | ||||
\(595\) | −561469. | −0.00266548 | ||||||||
\(596\) | − | 1.47360e8i | − | 0.696051i | ||||||
\(597\) | −2.72834e7 | + | 1.19537e8i | −0.128226 | + | 0.561795i | ||||
\(598\) | 4.13374e8 | + | 3.29655e8i | 1.93303 | + | 1.54154i | ||||
\(599\) | 2.48891e8 | + | 1.19860e8i | 1.15806 | + | 0.557690i | 0.911444 | − | 0.411424i | \(-0.134969\pi\) |
0.246612 | + | 0.969114i | \(0.420683\pi\) | |||||||
\(600\) | −1.29699e8 | + | 6.24599e7i | −0.600460 | + | 0.289166i | ||||
\(601\) | − | 1.60741e8i | − | 0.740465i | −0.928939 | − | 0.370232i | \(-0.879278\pi\) | ||
0.928939 | − | 0.370232i | \(-0.120722\pi\) | |||||||
\(602\) | 2.42226e6 | + | 3.46559e6i | 0.0111027 | + | 0.0158850i | ||||
\(603\) | −1.65127e8 | −0.753126 | ||||||||
\(604\) | −999966. | − | 2.07645e6i | −0.00453811 | − | 0.00942347i | ||||
\(605\) | −4.10328e7 | + | 8.52055e7i | −0.185296 | + | 0.384770i | ||||
\(606\) | −5.22288e7 | + | 6.54928e7i | −0.234688 | + | 0.294290i | ||||
\(607\) | −2.79741e8 | − | 6.38490e7i | −1.25080 | − | 0.285488i | −0.454699 | − | 0.890645i | \(-0.650253\pi\) |
−0.796106 | + | 0.605157i | \(0.793110\pi\) | |||||||
\(608\) | −2.86891e8 | −1.27646 | ||||||||
\(609\) | − | 5.66012e6i | − | 0.0250596i | ||||||
\(610\) | −1.70801e7 | − | 3.89841e6i | −0.0752489 | − | 0.0171751i | ||||
\(611\) | 2.02609e8 | + | 2.54064e8i | 0.888249 | + | 1.11383i | ||||
\(612\) | 2.09795e6 | + | 9.19170e6i | 0.00915251 | + | 0.0400998i | ||||
\(613\) | 1.11069e8 | + | 1.39276e8i | 0.482183 | + | 0.604639i | 0.962107 | − | 0.272671i | \(-0.0879071\pi\) |
−0.479924 | + | 0.877310i | \(0.659336\pi\) | |||||||
\(614\) | −3.79978e7 | − | 7.89033e7i | −0.164155 | − | 0.340871i | ||||
\(615\) | −6.48659e6 | + | 2.84196e7i | −0.0278863 | + | 0.122178i | ||||
\(616\) | 690194. | − | 332380.i | 0.00295276 | − | 0.00142198i | ||||
\(617\) | −1.97596e8 | + | 2.47778e8i | −0.841247 | + | 1.05489i | 0.156492 | + | 0.987679i | \(0.449981\pi\) |
−0.997739 | + | 0.0672110i | \(0.978590\pi\) | |||||||
\(618\) | 3.16986e7 | + | 1.38881e8i | 0.134299 | + | 0.588404i | ||||
\(619\) | 8.15923e7 | + | 3.57479e8i | 0.344015 | + | 1.50723i | 0.790514 | + | 0.612444i | \(0.209813\pi\) |
−0.446499 | + | 0.894784i | \(0.647330\pi\) | |||||||
\(620\) | 2.15092e7 | − | 4.46643e7i | 0.0902504 | − | 0.187407i | ||||
\(621\) | −3.50193e8 | − | 2.79270e8i | −1.46229 | − | 1.16614i | ||||
\(622\) | −5.70149e7 | + | 4.54678e7i | −0.236928 | + | 0.188944i | ||||
\(623\) | −159186. | − | 76659.7i | −0.000658324 | − | 0.000317032i | ||||
\(624\) | 6.75729e7 | − | 1.40316e8i | 0.278111 | − | 0.577504i | ||||
\(625\) | 7.17716e7 | + | 8.99987e7i | 0.293976 | + | 0.368635i | ||||
\(626\) | 7.41111e7 | − | 9.29324e7i | 0.302107 | − | 0.378830i | ||||
\(627\) | 3.62634e7 | + | 1.74635e7i | 0.147118 | + | 0.0708482i | ||||
\(628\) | 6.38809e6 | − | 1.45804e6i | 0.0257924 | − | 0.00588695i | ||||
\(629\) | −4.51599e7 | + | 1.03075e7i | −0.181469 | + | 0.0414190i | ||||
\(630\) | 704629. | + | 561923.i | 0.00281799 | + | 0.00224727i | ||||
\(631\) | 2.42720e7 | + | 5.04014e7i | 0.0966091 | + | 0.200611i | 0.943672 | − | 0.330881i | \(-0.107346\pi\) |
−0.847063 | + | 0.531492i | \(0.821632\pi\) | |||||||
\(632\) | 1.65077e8 | + | 3.76777e7i | 0.653935 | + | 0.149256i | ||||
\(633\) | 1.76351e8 | − | 8.49260e7i | 0.695290 | − | 0.334834i | ||||
\(634\) | 2.04945e8 | − | 1.63438e8i | 0.804210 | − | 0.641336i | ||||
\(635\) | 1.33904e8 | − | 3.05628e7i | 0.522966 | − | 0.119364i | ||||
\(636\) | −2.51026e7 | + | 2.00187e7i | −0.0975770 | + | 0.0778150i | ||||
\(637\) | −1.04673e8 | + | 4.58603e8i | −0.404964 | + | 1.77426i | ||||
\(638\) | 3.33255e7 | 0.128326 | ||||||||
\(639\) | − | 4.08537e7i | − | 0.156577i | ||||||
\(640\) | −2.20472e6 | + | 9.65950e6i | −0.00841033 | + | 0.0368481i | ||||
\(641\) | 3.39859e8 | + | 2.71029e8i | 1.29040 | + | 1.02906i | 0.997334 | + | 0.0729704i | \(0.0232479\pi\) |
0.293069 | + | 0.956091i | \(0.405324\pi\) | |||||||
\(642\) | −2.60631e8 | − | 1.25513e8i | −0.984965 | − | 0.474334i | ||||
\(643\) | −2.22745e8 | + | 1.07268e8i | −0.837868 | + | 0.403496i | −0.803060 | − | 0.595898i | \(-0.796796\pi\) |
−0.0348076 | + | 0.999394i | \(0.511082\pi\) | |||||||
\(644\) | − | 4.40979e6i | − | 0.0165105i | ||||||
\(645\) | −7.66327e7 | − | 4.30646e7i | −0.285585 | − | 0.160487i | ||||
\(646\) | 9.30446e7 | 0.345139 | ||||||||
\(647\) | −5.55278e7 | − | 1.15305e8i | −0.205021 | − | 0.425730i | 0.772952 | − | 0.634465i | \(-0.218780\pi\) |
−0.977972 | + | 0.208735i | \(0.933065\pi\) | |||||||
\(648\) | −4.96183e7 | + | 1.03034e8i | −0.182355 | + | 0.378664i | ||||
\(649\) | −1.97634e7 | + | 2.47825e7i | −0.0722981 | + | 0.0906590i | ||||
\(650\) | −3.10355e8 | − | 7.08364e7i | −1.13010 | − | 0.257939i | ||||
\(651\) | −6.41471e6 | −0.0232506 | ||||||||
\(652\) | − | 3.51344e7i | − | 0.126762i | ||||||
\(653\) | 2.11545e8 | + | 4.82838e7i | 0.759737 | + | 0.173405i | 0.584803 | − | 0.811175i | \(-0.301172\pi\) |
0.174934 | + | 0.984580i | \(0.444029\pi\) | |||||||
\(654\) | 9.82008e7 | + | 1.23140e8i | 0.351060 | + | 0.440216i | ||||
\(655\) | −2.80822e7 | − | 1.23036e8i | −0.0999325 | − | 0.437833i | ||||
\(656\) | −3.13649e7 | − | 3.93304e7i | −0.111105 | − | 0.139321i | ||||
\(657\) | 6.80833e7 | + | 1.41376e8i | 0.240074 | + | 0.498518i | ||||
\(658\) | −961187. | + | 4.21124e6i | −0.00337388 | + | 0.0147820i | ||||
\(659\) | 4.22319e8 | − | 2.03378e8i | 1.47565 | − | 0.710638i | 0.488822 | − | 0.872384i | \(-0.337427\pi\) |
0.986832 | + | 0.161746i | \(0.0517125\pi\) | |||||||
\(660\) | −2.76310e6 | + | 3.46482e6i | −0.00961093 | + | 0.0120517i | ||||
\(661\) | 4.63718e7 | + | 2.03168e8i | 0.160565 | + | 0.703479i | 0.989548 | + | 0.144206i | \(0.0460627\pi\) |
−0.828983 | + | 0.559273i | \(0.811080\pi\) | |||||||
\(662\) | 1.21851e7 | + | 5.33863e7i | 0.0420005 | + | 0.184016i | ||||
\(663\) | 4.32705e7 | − | 8.98521e7i | 0.148474 | − | 0.308310i | ||||
\(664\) | 8.04147e7 | + | 6.41285e7i | 0.274682 | + | 0.219052i | ||||
\(665\) | −4.36323e6 | + | 3.47956e6i | −0.0148369 | + | 0.0118320i | ||||
\(666\) | 6.69903e7 | + | 3.22608e7i | 0.226772 | + | 0.109208i | ||||
\(667\) | 2.99126e8 | − | 6.21142e8i | 1.00804 | − | 2.09321i | ||||
\(668\) | −4.14835e7 | − | 5.20187e7i | −0.139170 | − | 0.174514i | ||||
\(669\) | −2.33868e8 | + | 2.93261e8i | −0.781075 | + | 0.979437i | ||||
\(670\) | −1.61661e8 | − | 7.78520e7i | −0.537504 | − | 0.258848i | ||||
\(671\) | 8.16481e6 | − | 1.86356e6i | 0.0270258 | − | 0.00616846i | ||||
\(672\) | −3.98497e6 | + | 909544.i | −0.0131316 | + | 0.00299720i | ||||
\(673\) | 7.37564e7 | + | 5.88188e7i | 0.241966 | + | 0.192962i | 0.736963 | − | 0.675933i | \(-0.236259\pi\) |
−0.494997 | + | 0.868895i | \(0.664831\pi\) | |||||||
\(674\) | −1.41976e8 | − | 2.94816e8i | −0.463698 | − | 0.962878i | ||||
\(675\) | 2.62919e8 | + | 6.00097e7i | 0.854892 | + | 0.195124i | ||||
\(676\) | −2.48526e8 | + | 1.19684e8i | −0.804512 | + | 0.387432i | ||||
\(677\) | −6.51232e7 | + | 5.19340e7i | −0.209879 | + | 0.167373i | −0.722788 | − | 0.691070i | \(-0.757140\pi\) |
0.512908 | + | 0.858443i | \(0.328568\pi\) | |||||||
\(678\) | 2.26533e8 | − | 5.17048e7i | 0.726847 | − | 0.165898i | ||||
\(679\) | −1.07812e6 | + | 859770.i | −0.00344395 | + | 0.00274646i | ||||
\(680\) | −8.19255e6 | + | 3.58939e7i | −0.0260551 | + | 0.114155i | ||||
\(681\) | 2.12179e8 | 0.671833 | ||||||||
\(682\) | − | 3.77683e7i | − | 0.119062i | ||||||
\(683\) | 8.95972e7 | − | 3.92551e8i | 0.281211 | − | 1.23207i | −0.615032 | − | 0.788502i | \(-0.710857\pi\) |
0.896243 | − | 0.443564i | \(-0.146286\pi\) | |||||||
\(684\) | 7.32666e7 | + | 5.84281e7i | 0.228948 | + | 0.182580i | ||||
\(685\) | 6.08925e7 | + | 2.93243e7i | 0.189449 | + | 0.0912337i | ||||
\(686\) | −1.12705e7 | + | 5.42760e6i | −0.0349118 | + | 0.0168126i | ||||
\(687\) | 2.78207e7i | 0.0858020i | ||||||||
\(688\) | 1.40558e8 | − | 5.70583e7i | 0.431608 | − | 0.175208i | ||||
\(689\) | −2.55159e8 | −0.780105 | ||||||||
\(690\) | −6.33966e7 | − | 1.31644e8i | −0.192983 | − | 0.400733i | ||||
\(691\) | 1.13033e8 | − | 2.34716e8i | 0.342588 | − | 0.711391i | −0.656490 | − | 0.754335i | \(-0.727959\pi\) |
0.999077 | + | 0.0429440i | \(0.0136737\pi\) | |||||||
\(692\) | 5.27795e7 | − | 6.61834e7i | 0.159275 | − | 0.199724i | ||||
\(693\) | −420026. | − | 95868.2i | −0.00126205 | − | 0.000288055i | ||||
\(694\) | 2.13679e8 | 0.639268 | ||||||||
\(695\) | − | 1.97577e8i | − | 0.588548i | ||||||
\(696\) | −3.61843e8 | − | 8.25884e7i | −1.07323 | − | 0.244958i | ||||
\(697\) | −2.00846e7 | − | 2.51853e7i | −0.0593151 | − | 0.0743788i | ||||
\(698\) | −8.55865e7 | − | 3.74979e8i | −0.251674 | − | 1.10266i | ||||
\(699\) | −2.35377e8 | − | 2.95154e8i | −0.689181 | − | 0.864205i | ||||
\(700\) | 1.15199e6 | + | 2.39212e6i | 0.00335856 | + | 0.00697412i | ||||
\(701\) | −9.30100e7 | + | 4.07504e8i | −0.270007 | + | 1.18298i | 0.639996 | + | 0.768379i | \(0.278936\pi\) |
−0.910003 | + | 0.414601i | \(0.863921\pi\) | |||||||
\(702\) | −4.80429e8 | + | 2.31362e8i | −1.38873 | + | 0.668777i | ||||
\(703\) | −2.87064e8 | + | 3.59967e8i | −0.826254 | + | 1.03609i | ||||
\(704\) | −9.76922e6 | − | 4.28017e7i | −0.0279990 | − | 0.122671i | ||||
\(705\) | −1.99831e7 | − | 8.75516e7i | −0.0570289 | − | 0.249860i | ||||
\(706\) | −3.77064e7 | + | 7.82982e7i | −0.107152 | + | 0.222504i | ||||
\(707\) | 4.34097e6 | + | 3.46181e6i | 0.0122837 | + | 0.00979591i | ||||
\(708\) | 7.68014e7 | − | 6.12471e7i | 0.216406 | − | 0.172578i | ||||
\(709\) | 5.13942e8 | + | 2.47501e8i | 1.44203 | + | 0.694447i | 0.981192 | − | 0.193036i | \(-0.0618334\pi\) |
0.460841 | + | 0.887482i | \(0.347548\pi\) | |||||||
\(710\) | 1.92611e7 | − | 3.99961e7i | 0.0538154 | − | 0.111749i | ||||
\(711\) | −5.93725e7 | − | 7.44508e7i | −0.165187 | − | 0.207138i | ||||
\(712\) | −7.22346e6 | + | 9.05794e6i | −0.0200127 | + | 0.0250951i | ||||
\(713\) | −7.03950e8 | − | 3.39004e8i | −1.94211 | − | 0.935269i | ||||
\(714\) | 1.29241e6 | − | 294983.i | 0.00355062 | − | 0.000810406i | ||||
\(715\) | −3.43357e7 | + | 7.83689e6i | −0.0939350 | + | 0.0214401i | ||||
\(716\) | 592899. | + | 472821.i | 0.00161526 | + | 0.00128812i | ||||
\(717\) | 4.28688e7 | + | 8.90180e7i | 0.116301 | + | 0.241502i | ||||
\(718\) | 1.10223e8 | + | 2.51576e7i | 0.297782 | + | 0.0679667i | ||||
\(719\) | −1.75860e8 | + | 8.46896e7i | −0.473129 | + | 0.227847i | −0.655225 | − | 0.755434i | \(-0.727426\pi\) |
0.182096 | + | 0.983281i | \(0.441712\pi\) | |||||||
\(720\) | 2.52804e7 | − | 2.01605e7i | 0.0677309 | − | 0.0540136i | ||||
\(721\) | 9.20523e6 | − | 2.10103e6i | 0.0245600 | − | 0.00560567i | ||||
\(722\) | 4.92399e8 | − | 3.92675e8i | 1.30830 | − | 1.04333i | ||||
\(723\) | −4.02811e7 | + | 1.76483e8i | −0.106583 | + | 0.466969i | ||||
\(724\) | −8.27589e7 | −0.218072 | ||||||||
\(725\) | 4.15084e8i | 1.08924i | ||||||||
\(726\) | 4.96855e7 | − | 2.17686e8i | 0.129843 | − | 0.568880i | ||||
\(727\) | −1.44108e8 | − | 1.14923e8i | −0.375047 | − | 0.299090i | 0.417766 | − | 0.908554i | \(-0.362813\pi\) |
−0.792813 | + | 0.609464i | \(0.791384\pi\) | |||||||
\(728\) | −1.69981e7 | − | 8.18585e6i | −0.0440561 | − | 0.0212163i | ||||
\(729\) | 3.42761e8 | − | 1.65065e8i | 0.884727 | − | 0.426062i | ||||
\(730\) | 1.70508e8i | 0.438304i | ||||||||
\(731\) | 9.00067e7 | − | 3.65375e7i | 0.230421 | − | 0.0935377i | ||||
\(732\) | −2.59536e7 | −0.0661705 | ||||||||
\(733\) | −1.99487e8 | − | 4.14238e8i | −0.506526 | − | 1.05181i | −0.984815 | − | 0.173610i | \(-0.944457\pi\) |
0.478288 | − | 0.878203i | \(-0.341257\pi\) | |||||||
\(734\) | −8.64866e7 | + | 1.79591e8i | −0.218706 | + | 0.454148i | ||||
\(735\) | 8.10505e7 | − | 1.01634e8i | 0.204124 | − | 0.255963i | ||||
\(736\) | −4.85378e8 | − | 1.10784e8i | −1.21744 | − | 0.277872i | ||||
\(737\) | 8.57734e7 | 0.214265 | ||||||||
\(738\) | 5.17078e7i | 0.128643i | ||||||||
\(739\) | −2.93746e8 | − | 6.70455e7i | −0.727844 | − | 0.166126i | −0.157485 | − | 0.987521i | \(-0.550339\pi\) |
−0.570359 | + | 0.821396i | \(0.693196\pi\) | |||||||
\(740\) | −3.16074e7 | − | 3.96344e7i | −0.0779998 | − | 0.0978087i | ||||
\(741\) | −2.20576e8 | − | 9.66408e8i | −0.542131 | − | 2.37523i | ||||
\(742\) | −2.11470e6 | − | 2.65175e6i | −0.00517650 | − | 0.00649113i | ||||
\(743\) | 1.31094e8 | + | 2.72220e8i | 0.319608 | + | 0.663673i | 0.997437 | − | 0.0715464i | \(-0.0227934\pi\) |
−0.677829 | + | 0.735219i | \(0.737079\pi\) | |||||||
\(744\) | −9.35988e7 | + | 4.10083e8i | −0.227275 | + | 0.995756i | ||||
\(745\) | −2.91579e8 | + | 1.40417e8i | −0.705161 | + | 0.339588i | ||||
\(746\) | −3.29676e8 | + | 4.13400e8i | −0.794092 | + | 0.995759i | ||||
\(747\) | −1.28717e7 | − | 5.63946e7i | −0.0308798 | − | 0.135293i | ||||
\(748\) | −1.08975e6 | − | 4.77452e6i | −0.00260389 | − | 0.0114084i | ||||
\(749\) | −8.31922e6 | + | 1.72750e7i | −0.0197987 | + | 0.0411125i | ||||
\(750\) | 1.53478e8 | + | 1.22394e8i | 0.363799 | + | 0.290120i | ||||
\(751\) | −2.18835e8 | + | 1.74515e8i | −0.516651 | + | 0.412015i | −0.846798 | − | 0.531914i | \(-0.821473\pi\) |
0.330148 | + | 0.943929i | \(0.392901\pi\) | |||||||
\(752\) | 1.39627e8 | + | 6.72410e7i | 0.328335 | + | 0.158118i | ||||
\(753\) | 1.26727e8 | − | 2.63150e8i | 0.296813 | − | 0.616338i | ||||
\(754\) | −5.11723e8 | − | 6.41681e8i | −1.19377 | − | 1.49694i | ||||
\(755\) | −3.15580e6 | + | 3.95724e6i | −0.00733277 | + | 0.00919500i | ||||
\(756\) | 4.00698e6 | + | 1.92966e6i | 0.00927367 | + | 0.00446597i | ||||
\(757\) | −7.17916e6 | + | 1.63860e6i | −0.0165495 | + | 0.00377733i | −0.230788 | − | 0.973004i | \(-0.574130\pi\) |
0.214238 | + | 0.976781i | \(0.431273\pi\) | |||||||
\(758\) | 1.69473e8 | − | 3.86810e7i | 0.389128 | − | 0.0888158i | ||||
\(759\) | 5.46087e7 | + | 4.35490e7i | 0.124893 | + | 0.0995985i | ||||
\(760\) | 1.58778e8 | + | 3.29706e8i | 0.361701 | + | 0.751080i | ||||
\(761\) | 4.02571e8 | + | 9.18843e7i | 0.913458 | + | 0.208491i | 0.653321 | − | 0.757081i | \(-0.273375\pi\) |
0.260137 | + | 0.965572i | \(0.416232\pi\) | |||||||
\(762\) | −2.92168e8 | + | 1.40701e8i | −0.660340 | + | 0.318003i | ||||
\(763\) | 8.16191e6 | − | 6.50891e6i | 0.0183746 | − | 0.0146533i | ||||
\(764\) | −8.49061e7 | + | 1.93793e7i | −0.190396 | + | 0.0434567i | ||||
\(765\) | 1.61884e7 | − | 1.29098e7i | 0.0361593 | − | 0.0288361i | ||||
\(766\) | 5.84259e7 | − | 2.55981e8i | 0.129993 | − | 0.569535i | ||||
\(767\) | 7.80659e8 | 1.73012 | ||||||||
\(768\) | 3.29499e8i | 0.727394i | ||||||||
\(769\) | 1.68001e8 | − | 7.36059e8i | 0.369430 | − | 1.61858i | −0.358917 | − | 0.933369i | \(-0.616854\pi\) |
0.728347 | − | 0.685208i | \(-0.240289\pi\) | |||||||
\(770\) | −366011. | − | 291884.i | −0.000801718 | − | 0.000639349i | ||||
\(771\) | 3.41543e8 | + | 1.64478e8i | 0.745215 | + | 0.358877i | ||||
\(772\) | 2.12073e8 | − | 1.02129e8i | 0.460929 | − | 0.221972i | ||||
\(773\) | 8.88028e8i | 1.92260i | 0.275511 | + | 0.961298i | \(0.411153\pi\) | ||||
−0.275511 | + | 0.961298i | \(0.588847\pi\) | |||||||
\(774\) | −1.49523e8 | − | 4.42258e7i | −0.322467 | − | 0.0953791i | ||||
\(775\) | 4.70422e8 | 1.01061 | ||||||||
\(776\) | 3.92327e7 | + | 8.14676e7i | 0.0839583 | + | 0.174341i | ||||
\(777\) | −2.84616e6 | + | 5.91011e6i | −0.00606730 | + | 0.0125989i | ||||
\(778\) | 5.80286e6 | − | 7.27655e6i | 0.0123226 | − | 0.0154521i | ||||
\(779\) | −3.12159e8 | − | 7.12483e7i | −0.660334 | − | 0.150717i | ||||
\(780\) | 1.09143e8 | 0.229992 | ||||||||
\(781\) | 2.12209e7i | 0.0445463i | ||||||||
\(782\) | 1.57418e8 | + | 3.59296e7i | 0.329180 | + | 0.0751332i | ||||
\(783\) | 4.33510e8 | + | 5.43605e8i | 0.903055 | + | 1.13240i | ||||
\(784\) | 4.99191e7 | + | 2.18710e8i | 0.103590 | + | 0.453858i | ||||
\(785\) | −8.97213e6 | − | 1.12507e7i | −0.0185475 | − | 0.0232579i | ||||
\(786\) | 1.29281e8 | + | 2.68454e8i | 0.266236 | + | 0.552844i | ||||
\(787\) | 1.46327e8 | − | 6.41101e8i | 0.300193 | − | 1.31523i | −0.569643 | − | 0.821892i | \(-0.692919\pi\) |
0.869837 | − | 0.493340i | \(-0.164224\pi\) | |||||||
\(788\) | 2.34399e8 | − | 1.12881e8i | 0.479046 | − | 0.230696i | ||||
\(789\) | −3.14691e8 | + | 3.94610e8i | −0.640698 | + | 0.803409i | ||||
\(790\) | −2.30252e7 | − | 1.00880e8i | −0.0467006 | − | 0.204609i | ||||
\(791\) | −3.42708e6 | − | 1.50150e7i | −0.00692460 | − | 0.0303386i | ||||
\(792\) | −1.22574e7 | + | 2.54528e7i | −0.0246731 | + | 0.0512343i | ||||
\(793\) | −1.61256e8 | − | 1.28597e8i | −0.323368 | − | 0.257877i | ||||
\(794\) | 1.02743e8 | − | 8.19350e7i | 0.205254 | − | 0.163685i | ||||
\(795\) | 6.35306e7 | + | 3.05947e7i | 0.126439 | + | 0.0608899i | ||||
\(796\) | 6.43383e7 | − | 1.33600e8i | 0.127565 | − | 0.264891i | ||||
\(797\) | 4.56746e8 | + | 5.72741e8i | 0.902193 | + | 1.13131i | 0.990812 | + | 0.135249i | \(0.0431834\pi\) |
−0.0886183 | + | 0.996066i | \(0.528245\pi\) | |||||||
\(798\) | 8.21533e6 | − | 1.03017e7i | 0.0161665 | − | 0.0202722i | ||||
\(799\) | 8.94109e7 | + | 4.30580e7i | 0.175287 | + | 0.0844138i | ||||
\(800\) | 2.92237e8 | − | 6.67013e7i | 0.570776 | − | 0.130276i | ||||
\(801\) | 6.35230e6 | − | 1.44987e6i | 0.0123604 | − | 0.00282119i | ||||
\(802\) | 1.62167e8 | + | 1.29324e8i | 0.314368 | + | 0.250700i | ||||
\(803\) | −3.53650e7 | − | 7.34362e7i | −0.0683010 | − | 0.141829i | ||||
\(804\) | −2.59149e8 | − | 5.91491e7i | −0.498633 | − | 0.113810i | ||||
\(805\) | −8.72560e6 | + | 4.20203e6i | −0.0167266 | + | 0.00805511i | ||||
\(806\) | −7.27227e8 | + | 5.79944e8i | −1.38888 | + | 1.10760i | ||||
\(807\) | 3.80789e7 | − | 8.69125e6i | 0.0724542 | − | 0.0165372i | ||||
\(808\) | 2.84649e8 | − | 2.27000e8i | 0.539604 | − | 0.430320i | ||||
\(809\) | −1.26245e8 | + | 5.53117e8i | −0.238435 | + | 1.04465i | 0.703984 | + | 0.710216i | \(0.251403\pi\) |
−0.942419 | + | 0.334436i | \(0.891454\pi\) | |||||||
\(810\) | 6.98857e7 | 0.131502 | ||||||||
\(811\) | 8.94462e8i | 1.67687i | 0.545002 | + | 0.838435i | \(0.316529\pi\) | ||||
−0.545002 | + | 0.838435i | \(0.683471\pi\) | |||||||
\(812\) | −1.52323e6 | + | 6.67369e6i | −0.00284509 | + | 0.0124652i | ||||
\(813\) | 1.67150e8 | + | 1.33298e8i | 0.311053 | + | 0.248057i | ||||
\(814\) | −3.47973e7 | − | 1.67575e7i | −0.0645167 | − | 0.0310696i | ||||
\(815\) | −6.95199e7 | + | 3.34790e7i | −0.128421 | + | 0.0618443i | ||||
\(816\) | − | 4.75609e7i | − | 0.0875346i | ||||||
\(817\) | 4.73019e8 | − | 8.41730e8i | 0.867386 | − | 1.54350i | ||||
\(818\) | −5.11302e8 | −0.934153 | ||||||||
\(819\) | 4.60370e6 | + | 9.55968e6i | 0.00838021 | + | 0.0174017i | ||||
\(820\) | 1.52963e7 | − | 3.17631e7i | 0.0277425 | − | 0.0576078i | ||||
\(821\) | −3.29028e8 | + | 4.12588e8i | −0.594570 | + | 0.745567i | −0.984521 | − | 0.175268i | \(-0.943921\pi\) |
0.389951 | + | 0.920836i | \(0.372492\pi\) | |||||||
\(822\) | −1.55570e8 | − | 3.55079e7i | −0.280099 | − | 0.0639308i | ||||
\(823\) | −2.56463e8 | −0.460071 | −0.230036 | − | 0.973182i | \(-0.573884\pi\) | ||||
−0.230036 | + | 0.973182i | \(0.573884\pi\) | |||||||
\(824\) | − | 6.19134e8i | − | 1.10663i | ||||||
\(825\) | −4.09993e7 | − | 9.35783e6i | −0.0730155 | − | 0.0166653i | ||||
\(826\) | 6.46992e6 | + | 8.11302e6i | 0.0114804 | + | 0.0143960i | ||||
\(827\) | −2.21570e8 | − | 9.70763e8i | −0.391737 | − | 1.71631i | −0.658525 | − | 0.752559i | \(-0.728819\pi\) |
0.266788 | − | 0.963755i | \(-0.414038\pi\) | |||||||
\(828\) | 1.01394e8 | + | 1.27144e8i | 0.178616 | + | 0.223978i | ||||
\(829\) | 6.58352e7 | + | 1.36708e8i | 0.115557 | + | 0.239956i | 0.950723 | − | 0.310042i | \(-0.100343\pi\) |
−0.835166 | + | 0.549997i | \(0.814629\pi\) | |||||||
\(830\) | 1.39866e7 | − | 6.12794e7i | 0.0244612 | − | 0.107172i | ||||
\(831\) | 2.10130e8 | − | 1.01193e8i | 0.366172 | − | 0.176339i | ||||
\(832\) | −6.74136e8 | + | 8.45340e8i | −1.17052 | + | 1.46778i | ||||
\(833\) | 3.19659e7 | + | 1.40052e8i | 0.0553034 | + | 0.242300i | ||||
\(834\) | 1.03803e8 | + | 4.54789e8i | 0.178941 | + | 0.783992i | ||||
\(835\) | −6.33997e7 | + | 1.31651e8i | −0.108900 | + | 0.226133i | ||||
\(836\) | −3.80574e7 | − | 3.03498e7i | −0.0651359 | − | 0.0519442i | ||||
\(837\) | 6.16076e8 | − | 4.91305e8i | 1.05065 | − | 0.837866i | ||||
\(838\) | 1.86125e8 | + | 8.96333e7i | 0.316281 | + | 0.152313i | ||||
\(839\) | −1.33978e8 | + | 2.78209e8i | −0.226855 | + | 0.471069i | −0.983064 | − | 0.183260i | \(-0.941335\pi\) |
0.756209 | + | 0.654330i | \(0.227049\pi\) | |||||||
\(840\) | 3.25074e6 | + | 4.07630e6i | 0.00548459 | + | 0.00687746i | ||||
\(841\) | −2.96379e8 | + | 3.71648e8i | −0.498265 | + | 0.624804i | ||||
\(842\) | −1.69547e8 | − | 8.16495e7i | −0.284023 | − | 0.136778i | ||||
\(843\) | 6.94982e8 | − | 1.58625e8i | 1.16009 | − | 0.264783i | ||||
\(844\) | −2.30785e8 | + | 5.26752e7i | −0.383867 | + | 0.0876151i | ||||
\(845\) | 4.73635e8 | + | 3.77711e8i | 0.785007 | + | 0.626022i | ||||
\(846\) | −6.91155e7 | − | 1.43520e8i | −0.114147 | − | 0.237029i | ||||
\(847\) | −1.44286e7 | − | 3.29323e6i | −0.0237451 | − | 0.00541966i | ||||
\(848\) | −1.09636e8 | + | 5.27978e7i | −0.179790 | + | 0.0865821i | ||||
\(849\) | 5.88185e7 | − | 4.69062e7i | 0.0961149 | − | 0.0766491i | ||||
\(850\) | −9.47785e7 | + | 2.16326e7i | −0.154331 | + | 0.0352250i | ||||
\(851\) | −6.24674e8 | + | 4.98161e8i | −1.01360 | + | 0.808316i | ||||
\(852\) | 1.46339e7 | − | 6.41152e7i | 0.0236614 | − | 0.103667i | ||||
\(853\) | −5.95652e8 | −0.959723 | −0.479861 | − | 0.877344i | \(-0.659313\pi\) | ||||
−0.479861 | + | 0.877344i | \(0.659313\pi\) | |||||||
\(854\) | − | 2.74164e6i | − | 0.00440187i | ||||||
\(855\) | 4.57964e7 | − | 2.00647e8i | 0.0732711 | − | 0.321022i | ||||
\(856\) | 9.82980e8 | + | 7.83900e8i | 1.56720 | + | 1.24980i | ||||
\(857\) | −7.48266e8 | − | 3.60346e8i | −1.18881 | − | 0.572502i | −0.268346 | − | 0.963323i | \(-0.586477\pi\) |
−0.920467 | + | 0.390820i | \(0.872191\pi\) | |||||||
\(858\) | 7.49175e7 | − | 3.60784e7i | 0.118610 | − | 0.0571196i | ||||
\(859\) | − | 3.67656e8i | − | 0.580045i | −0.957020 | − | 0.290023i | \(-0.906337\pi\) | ||
0.957020 | − | 0.290023i | \(-0.0936629\pi\) | |||||||
\(860\) | 7.87661e7 | + | 7.13993e7i | 0.123835 | + | 0.112253i | ||||
\(861\) | −4.56183e6 | −0.00714710 | ||||||||
\(862\) | −2.74789e8 | − | 5.70605e8i | −0.429020 | − | 0.890869i | ||||
\(863\) | −3.61926e8 | + | 7.51548e8i | −0.563103 | + | 1.16930i | 0.403964 | + | 0.914775i | \(0.367632\pi\) |
−0.967067 | + | 0.254521i | \(0.918082\pi\) | |||||||
\(864\) | 3.13059e8 | − | 3.92564e8i | 0.485384 | − | 0.608652i | ||||
\(865\) | −1.81249e8 | − | 4.13689e7i | −0.280045 | − | 0.0639184i | ||||
\(866\) | −4.59435e7 | −0.0707409 | ||||||||
\(867\) | 4.62012e8i | 0.708918i | ||||||||
\(868\) | 7.56340e6 | + | 1.72630e6i | 0.0115653 | + | 0.00263971i | ||||
\(869\) | 3.08403e7 | + | 3.86725e7i | 0.0469959 | + | 0.0589309i | ||||
\(870\) | 5.04706e7 | + | 2.21126e8i | 0.0766445 | + | 0.335802i | ||||
\(871\) | −1.31708e9 | − | 1.65156e9i | −1.99323 | − | 2.49943i | ||||
\(872\) | −2.97012e8 | − | 6.16752e8i | −0.447945 | − | 0.930168i | ||||
\(873\) | 1.13159e7 | − | 4.95782e7i | 0.0170077 | − | 0.0745157i | ||||
\(874\) | 1.44597e9 | − | 6.96344e8i | 2.16584 | − | 1.04301i | ||||
\(875\) | 8.11250e6 | − | 1.01728e7i | 0.0121096 | − | 0.0151850i | ||||
\(876\) | 5.62077e7 | + | 2.46262e8i | 0.0836148 | + | 0.366341i | ||||
\(877\) | −8.24368e7 | − | 3.61179e8i | −0.122214 | − | 0.535456i | −0.998554 | − | 0.0537619i | \(-0.982879\pi\) |
0.876339 | − | 0.481694i | \(-0.159978\pi\) | |||||||
\(878\) | 6.05521e7 | − | 1.25738e8i | 0.0894635 | − | 0.185773i | ||||
\(879\) | −6.17489e8 | − | 4.92431e8i | −0.909207 | − | 0.725068i | ||||
\(880\) | −1.31316e7 | + | 1.04721e7i | −0.0192695 | + | 0.0153669i | ||||
\(881\) | −5.26924e8 | − | 2.53753e8i | −0.770584 | − | 0.371094i | 0.00691631 | − | 0.999976i | \(-0.497798\pi\) |
−0.777501 | + | 0.628882i | \(0.783513\pi\) | |||||||
\(882\) | 1.00048e8 | − | 2.07753e8i | 0.145816 | − | 0.302790i | ||||
\(883\) | −2.18249e8 | − | 2.73675e8i | −0.317007 | − | 0.397515i | 0.597642 | − | 0.801763i | \(-0.296105\pi\) |
−0.914649 | + | 0.404249i | \(0.867533\pi\) | |||||||
\(884\) | −7.51997e7 | + | 9.42974e7i | −0.108858 | + | 0.136503i | ||||
\(885\) | −1.94372e8 | − | 9.36046e7i | −0.280417 | − | 0.135041i | ||||
\(886\) | 8.14539e8 | − | 1.85913e8i | 1.17115 | − | 0.267306i | ||||
\(887\) | −5.43064e8 | + | 1.23951e8i | −0.778181 | + | 0.177615i | −0.593122 | − | 0.805113i | \(-0.702105\pi\) |
−0.185059 | + | 0.982727i | \(0.559248\pi\) | |||||||
\(888\) | 3.36295e8 | + | 2.68187e8i | 0.480266 | + | 0.383000i | ||||
\(889\) | 9.32587e6 | + | 1.93654e7i | 0.0132735 | + | 0.0275626i | ||||
\(890\) | 6.90253e6 | + | 1.57546e6i | 0.00979125 | + | 0.00223479i | ||||
\(891\) | −3.00992e7 | + | 1.44950e7i | −0.0425522 | + | 0.0204920i | ||||
\(892\) | 3.54669e8 | − | 2.82839e8i | 0.499722 | − | 0.398515i | ||||
\(893\) | 9.61662e8 | − | 2.19493e8i | 1.35042 | − | 0.308224i | ||||
\(894\) | 5.97394e8 | − | 4.76406e8i | 0.836081 | − | 0.666752i | ||||
\(895\) | 370600. | − | 1.62371e6i | 0.000516936 | − | 0.00226484i | ||||
\(896\) | −1.55051e6 | −0.00215552 | ||||||||
\(897\) | − | 1.72020e9i | − | 2.38342i | ||||||
\(898\) | −9.90249e7 | + | 4.33856e8i | −0.136746 | + | 0.599124i | ||||
\(899\) | 9.48245e8 | + | 7.56200e8i | 1.30509 | + | 1.04078i | ||||
\(900\) | −8.82162e7 | − | 4.24827e7i | −0.121010 | − | 0.0582753i | ||||
\(901\) | −7.02056e7 | + | 3.38093e7i | −0.0959837 | + | 0.0462233i | ||||
\(902\) | − | 2.68590e7i | − | 0.0365991i | ||||||
\(903\) | 3.90175e6 | − | 1.31914e7i | 0.00529902 | − | 0.0179155i | ||||
\(904\) | −1.00989e9 | −1.36701 | ||||||||
\(905\) | 7.88598e7 | + | 1.63754e8i | 0.106392 | + | 0.220926i | ||||
\(906\) | 5.18506e6 | − | 1.07669e7i | 0.00697219 | − | 0.0144779i | ||||
\(907\) | −5.69117e8 | + | 7.13650e8i | −0.762746 | + | 0.956453i | −0.999887 | − | 0.0150223i | \(-0.995218\pi\) |
0.237141 | + | 0.971475i | \(0.423790\pi\) | |||||||
\(908\) | −2.50174e8 | − | 5.71007e7i | −0.334184 | − | 0.0762752i | ||||
\(909\) | −2.04757e8 | −0.272613 | ||||||||
\(910\) | 1.15295e7i | 0.0152998i | ||||||||
\(911\) | −6.86035e8 | − | 1.56583e8i | −0.907384 | − | 0.207105i | −0.256734 | − | 0.966482i | \(-0.582646\pi\) |
−0.650650 | + | 0.759378i | \(0.725504\pi\) | |||||||
\(912\) | −2.94747e8 | − | 3.69601e8i | −0.388566 | − | 0.487246i | ||||
\(913\) | 6.68604e6 | + | 2.92935e7i | 0.00878530 | + | 0.0384909i | ||||
\(914\) | 7.10197e7 | + | 8.90558e7i | 0.0930122 | + | 0.116634i | ||||
\(915\) | 2.47308e7 | + | 5.13541e7i | 0.0322831 | + | 0.0670366i | ||||
\(916\) | 7.48698e6 | − | 3.28026e7i | 0.00974137 | − | 0.0426797i | ||||
\(917\) | 1.77936e7 | − | 8.56894e6i | 0.0230757 | − | 0.0111127i | ||||
\(918\) | −1.01531e8 | + | 1.27316e8i | −0.131242 | + | 0.164572i | ||||
\(919\) | 2.29511e7 | + | 1.00555e8i | 0.0295703 | + | 0.129556i | 0.987559 | − | 0.157251i | \(-0.0502632\pi\) |
−0.957988 | + | 0.286807i | \(0.907406\pi\) | |||||||
\(920\) | 1.41312e8 | + | 6.19128e8i | 0.181474 | + | 0.795091i | ||||
\(921\) | −1.23625e8 | + | 2.56710e8i | −0.158244 | + | 0.328597i | ||||
\(922\) | −5.90646e8 | − | 4.71025e8i | −0.753589 | − | 0.600967i | ||||
\(923\) | 4.08608e8 | − | 3.25854e8i | 0.519639 | − | 0.414399i | ||||
\(924\) | −624844. | − | 300909.i | −0.000792055 | − | 0.000381434i | ||||
\(925\) | 2.08723e8 | − | 4.33417e8i | 0.263721 | − | 0.547622i | ||||
\(926\) | −1.46754e8 | − | 1.84024e8i | −0.184824 | − | 0.231762i | ||||
\(927\) | −2.17098e8 | + | 2.72233e8i | −0.272532 | + | 0.341744i | ||||
\(928\) | 6.96295e8 | + | 3.35318e8i | 0.871263 | + | 0.419578i | ||||
\(929\) | −3.37566e8 | + | 7.70473e7i | −0.421029 | + | 0.0960971i | −0.427786 | − | 0.903880i | \(-0.640706\pi\) |
0.00675714 | + | 0.999977i | \(0.497849\pi\) | |||||||
\(930\) | 2.50606e8 | − | 5.71992e7i | 0.311561 | − | 0.0711117i | ||||
\(931\) | 1.11634e9 | + | 8.90255e8i | 1.38340 | + | 1.10323i | ||||
\(932\) | 1.98096e8 | + | 4.11351e8i | 0.244697 | + | 0.508119i | ||||
\(933\) | 2.31311e8 | + | 5.27951e7i | 0.284807 | + | 0.0650053i | ||||
\(934\) | 2.71257e8 | − | 1.30630e8i | 0.332920 | − | 0.160326i | ||||
\(935\) | −8.40887e6 | + | 6.70585e6i | −0.0102873 | + | 0.00820387i | ||||
\(936\) | 6.78310e8 | − | 1.54820e8i | 0.827181 | − | 0.188799i | ||||
\(937\) | 5.13624e8 | − | 4.09601e8i | 0.624347 | − | 0.497900i | −0.259458 | − | 0.965754i | \(-0.583544\pi\) |
0.883806 | + | 0.467854i | \(0.154973\pi\) | |||||||
\(938\) | 6.24829e6 | − | 2.73755e7i | 0.00757099 | − | 0.0331707i | ||||
\(939\) | −3.86725e8 | −0.467095 | ||||||||
\(940\) | 1.08607e8i | 0.130760i | ||||||||
\(941\) | −1.94544e7 | + | 8.52355e7i | −0.0233480 | + | 0.102294i | −0.985259 | − | 0.171067i | \(-0.945278\pi\) |
0.961911 | + | 0.273362i | \(0.0881356\pi\) | |||||||
\(942\) | 2.65632e7 | + | 2.11834e7i | 0.0317780 | + | 0.0253421i | ||||
\(943\) | −5.00615e8 | − | 2.41084e8i | −0.596992 | − | 0.287496i | ||||
\(944\) | 3.35431e8 | − | 1.61535e8i | 0.398737 | − | 0.192022i | ||||
\(945\) | − | 9.76731e6i | − | 0.0115739i | ||||||
\(946\) | 7.76679e7 | + | 2.29726e7i | 0.0917420 | + | 0.0271354i | ||||
\(947\) | 8.67221e7 | 0.102113 | 0.0510564 | − | 0.998696i | \(-0.483741\pi\) | ||||
0.0510564 | + | 0.998696i | \(0.483741\pi\) | |||||||
\(948\) | −6.65100e7 | − | 1.38109e8i | −0.0780660 | − | 0.162106i | ||||
\(949\) | −8.70971e8 | + | 1.80859e9i | −1.01907 | + | 2.11612i | ||||
\(950\) | −6.02470e8 | + | 7.55474e8i | −0.702692 | + | 0.881148i | ||||
\(951\) | −8.31467e8 | − | 1.89777e8i | −0.966726 | − | 0.220649i | ||||
\(952\) | −5.76159e6 | −0.00667777 | ||||||||
\(953\) | − | 1.64106e9i | − | 1.89604i | −0.318215 | − | 0.948018i | \(-0.603084\pi\) | ||
0.318215 | − | 0.948018i | \(-0.396916\pi\) | |||||||
\(954\) | 1.21943e8 | + | 2.78327e7i | 0.140447 | + | 0.0320560i | ||||
\(955\) | 1.19251e8 | + | 1.49536e8i | 0.136916 | + | 0.171687i | ||||
\(956\) | −2.65893e7 | − | 1.16495e8i | −0.0304322 | − | 0.133332i | ||||
\(957\) | −6.76011e7 | − | 8.47691e7i | −0.0771290 | − | 0.0967168i | ||||
\(958\) | −2.71483e8 | − | 5.63741e8i | −0.308778 | − | 0.641184i | ||||
\(959\) | −2.35352e6 | + | 1.03115e7i | −0.00266847 | + | 0.0116913i | ||||
\(960\) | 2.69210e8 | − | 1.29644e8i | 0.304282 | − | 0.146535i | ||||
\(961\) | 3.03665e8 | − | 3.80784e8i | 0.342156 | − | 0.429050i | ||||
\(962\) | 2.11659e8 | + | 9.27338e8i | 0.237745 | + | 1.04163i | ||||
\(963\) | −1.57342e8 | − | 6.89361e8i | −0.176184 | − | 0.771912i | ||||
\(964\) | 9.49886e7 | − | 1.97246e8i | 0.106033 | − | 0.220179i | ||||
\(965\) | −4.04163e8 | − | 3.22309e8i | −0.449754 | − | 0.358667i | ||||
\(966\) | 1.78772e7 | − | 1.42566e7i | 0.0198321 | − | 0.0158155i | ||||
\(967\) | 9.83636e8 | + | 4.73694e8i | 1.08782 | + | 0.523864i | 0.889807 | − | 0.456336i | \(-0.150839\pi\) |
0.198008 | + | 0.980200i | \(0.436553\pi\) | |||||||
\(968\) | −4.21063e8 | + | 8.74347e8i | −0.464217 | + | 0.963957i | ||||
\(969\) | −1.88742e8 | − | 2.36675e8i | −0.207442 | − | 0.260124i | ||||
\(970\) | 3.44528e7 | − | 4.32024e7i | 0.0377493 | − | 0.0473362i | ||||
\(971\) | 4.32543e8 | + | 2.08302e8i | 0.472467 | + | 0.227528i | 0.654937 | − | 0.755683i | \(-0.272695\pi\) |
−0.182470 | + | 0.983211i | \(0.558409\pi\) | |||||||
\(972\) | −2.71795e8 | + | 6.20354e7i | −0.295966 | + | 0.0675524i | ||||
\(973\) | 3.01441e7 | − | 6.88020e6i | 0.0327239 | − | 0.00746901i | ||||
\(974\) | 9.77321e7 | + | 7.79387e7i | 0.105769 | + | 0.0843483i | ||||
\(975\) | 4.49373e8 | + | 9.33133e8i | 0.484834 | + | 1.00677i | ||||
\(976\) | −9.58975e7 | − | 2.18880e7i | −0.103147 | − | 0.0235427i | ||||
\(977\) | −1.01190e9 | + | 4.87305e8i | −1.08506 | + | 0.522537i | −0.888931 | − | 0.458042i | \(-0.848551\pi\) |
−0.196128 | + | 0.980578i | \(0.562837\pi\) | |||||||
\(978\) | 1.42434e8 | − | 1.13587e8i | 0.152264 | − | 0.121426i | ||||
\(979\) | −3.29963e6 | + | 753118.i | −0.00351655 | + | 0.000802630i | ||||
\(980\) | −1.22916e8 | + | 9.80220e7i | −0.130596 | + | 0.104147i | ||||
\(981\) | −8.56672e7 | + | 3.75333e8i | −0.0907419 | + | 0.397566i | ||||
\(982\) | 1.33603e9 | 1.41085 | ||||||||
\(983\) | 1.18584e9i | 1.24844i | 0.781249 | + | 0.624219i | \(0.214583\pi\) | ||||
−0.781249 | + | 0.624219i | \(0.785417\pi\) | |||||||
\(984\) | −6.65629e7 | + | 2.91631e8i | −0.0698630 | + | 0.306090i | ||||
\(985\) | −4.46711e8 | − | 3.56240e8i | −0.467432 | − | 0.372764i | ||||
\(986\) | −2.25822e8 | − | 1.08750e8i | −0.235579 | − | 0.113449i | ||||
\(987\) | 1.26618e7 | − | 6.09760e6i | 0.0131687 | − | 0.00634172i | ||||
\(988\) | 1.19882e9i | 1.24304i | ||||||||
\(989\) | 1.12532e9 | − | 1.24143e9i | 1.16328 | − | 1.28331i | ||||
\(990\) | 1.72642e7 | 0.0177926 | ||||||||
\(991\) | −4.37450e7 | − | 9.08375e7i | −0.0449477 | − | 0.0933349i | 0.877286 | − | 0.479969i | \(-0.159352\pi\) |
−0.922233 | + | 0.386634i | \(0.873638\pi\) | |||||||
\(992\) | 3.80021e8 | − | 7.89122e8i | 0.389290 | − | 0.808368i | ||||
\(993\) | 1.11080e8 | − | 1.39290e8i | 0.113445 | − | 0.142256i | ||||
\(994\) | 6.77289e6 | + | 1.54587e6i | 0.00689628 | + | 0.00157403i | ||||
\(995\) | −3.25659e8 | −0.330593 | ||||||||
\(996\) | − | 9.31156e7i | − | 0.0942420i | ||||||
\(997\) | 1.54075e9 | + | 3.51666e8i | 1.55470 | + | 0.354850i | 0.911647 | − | 0.410974i | \(-0.134811\pi\) |
0.643051 | + | 0.765823i | \(0.277668\pi\) | |||||||
\(998\) | −2.32636e7 | − | 2.91716e7i | −0.0234038 | − | 0.0293474i | ||||
\(999\) | −1.79308e8 | − | 7.85602e8i | −0.179847 | − | 0.787963i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.7.f.a.2.8 | ✓ | 126 | |
43.22 | odd | 14 | inner | 43.7.f.a.22.8 | yes | 126 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.f.a.2.8 | ✓ | 126 | 1.1 | even | 1 | trivial | |
43.7.f.a.22.8 | yes | 126 | 43.22 | odd | 14 | inner |