Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,8,Mod(7,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("37.7");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.f (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.5582459429\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 7.4 | ||
Character | \(\chi\) | \(=\) | 37.7 |
Dual form | 37.8.f.a.16.4 |
$q$-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 \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −14.2518 | + | 5.18723i | −1.25969 | + | 0.458491i | −0.883666 | − | 0.468117i | \(-0.844932\pi\) |
−0.376028 | + | 0.926608i | \(0.622710\pi\) | |||||||
\(3\) | 85.5870 | + | 31.1511i | 1.83014 | + | 0.666115i | 0.992853 | + | 0.119345i | \(0.0380795\pi\) |
0.837283 | + | 0.546770i | \(0.184143\pi\) | |||||||
\(4\) | 78.1529 | − | 65.5781i | 0.610570 | − | 0.512329i | ||||
\(5\) | 80.5878 | + | 457.036i | 0.288320 | + | 1.63514i | 0.693181 | + | 0.720764i | \(0.256209\pi\) |
−0.404861 | + | 0.914378i | \(0.632680\pi\) | |||||||
\(6\) | −1381.36 | −2.61082 | ||||||||
\(7\) | 115.337 | + | 654.111i | 0.127095 | + | 0.720789i | 0.980042 | + | 0.198792i | \(0.0637018\pi\) |
−0.852947 | + | 0.521997i | \(0.825187\pi\) | |||||||
\(8\) | 197.001 | − | 341.217i | 0.136036 | − | 0.235622i | ||||
\(9\) | 4679.40 | + | 3926.48i | 2.13964 | + | 1.79537i | ||||
\(10\) | −3519.28 | − | 6095.56i | −1.11289 | − | 1.92759i | ||||
\(11\) | 1829.22 | − | 3168.31i | 0.414374 | − | 0.717717i | −0.580988 | − | 0.813912i | \(-0.697334\pi\) |
0.995363 | + | 0.0961948i | \(0.0306672\pi\) | |||||||
\(12\) | 8731.71 | − | 3178.08i | 1.45870 | − | 0.530922i | ||||
\(13\) | 5308.56 | − | 4454.41i | 0.670155 | − | 0.562327i | −0.242956 | − | 0.970037i | \(-0.578117\pi\) |
0.913111 | + | 0.407711i | \(0.133673\pi\) | |||||||
\(14\) | −5036.79 | − | 8723.98i | −0.490576 | − | 0.849702i | ||||
\(15\) | −7339.92 | + | 41626.7i | −0.561529 | + | 3.18459i | ||||
\(16\) | −3305.28 | + | 18745.2i | −0.201739 | + | 1.14412i | ||||
\(17\) | −10684.6 | − | 8965.41i | −0.527455 | − | 0.442587i | 0.339766 | − | 0.940510i | \(-0.389652\pi\) |
−0.867222 | + | 0.497922i | \(0.834096\pi\) | |||||||
\(18\) | −87057.5 | − | 31686.3i | −3.51846 | − | 1.28061i | ||||
\(19\) | 2682.03 | + | 976.179i | 0.0897069 | + | 0.0326506i | 0.386484 | − | 0.922296i | \(-0.373690\pi\) |
−0.296777 | + | 0.954947i | \(0.595912\pi\) | |||||||
\(20\) | 36269.7 | + | 30433.9i | 1.01377 | + | 0.850654i | ||||
\(21\) | −10504.9 | + | 59576.3i | −0.247528 | + | 1.40380i | ||||
\(22\) | −9634.99 | + | 54642.8i | −0.192918 | + | 1.09409i | ||||
\(23\) | −36316.6 | − | 62902.3i | −0.622384 | − | 1.07800i | −0.989041 | − | 0.147644i | \(-0.952831\pi\) |
0.366657 | − | 0.930356i | \(-0.380502\pi\) | |||||||
\(24\) | 27490.0 | − | 23066.9i | 0.405916 | − | 0.340604i | ||||
\(25\) | −128974. | + | 46942.8i | −1.65087 | + | 0.600867i | ||||
\(26\) | −52550.5 | + | 91020.2i | −0.586368 | + | 1.01562i | ||||
\(27\) | 178586. | + | 309320.i | 1.74612 | + | 3.02436i | ||||
\(28\) | 51909.3 | + | 43557.1i | 0.446881 | + | 0.374978i | ||||
\(29\) | 22950.5 | − | 39751.4i | 0.174743 | − | 0.302663i | −0.765329 | − | 0.643639i | \(-0.777424\pi\) |
0.940072 | + | 0.340975i | \(0.110757\pi\) | |||||||
\(30\) | −111321. | − | 631330.i | −0.752750 | − | 4.26906i | ||||
\(31\) | 33690.8 | 0.203117 | 0.101558 | − | 0.994830i | \(-0.467617\pi\) | ||||
0.101558 | + | 0.994830i | \(0.467617\pi\) | |||||||
\(32\) | −41372.0 | − | 234632.i | −0.223193 | − | 1.26579i | ||||
\(33\) | 255254. | − | 214184.i | 1.23644 | − | 1.03750i | ||||
\(34\) | 198780. | + | 72350.0i | 0.867354 | + | 0.315691i | ||||
\(35\) | −289658. | + | 105427.i | −1.14195 | + | 0.415635i | ||||
\(36\) | 623200. | 2.22622 | ||||||||
\(37\) | −280358. | − | 127794.i | −0.909927 | − | 0.414768i | ||||
\(38\) | −43287.4 | −0.127973 | ||||||||
\(39\) | 593104. | − | 215872.i | 1.60105 | − | 0.582734i | ||||
\(40\) | 171824. | + | 62538.9i | 0.424497 | + | 0.154504i | ||||
\(41\) | −426476. | + | 357855.i | −0.966386 | + | 0.810894i | −0.981980 | − | 0.188984i | \(-0.939480\pi\) |
0.0155941 | + | 0.999878i | \(0.495036\pi\) | |||||||
\(42\) | −159322. | − | 903561.i | −0.331821 | − | 1.88185i | ||||
\(43\) | 487984. | 0.935978 | 0.467989 | − | 0.883734i | \(-0.344979\pi\) | ||||
0.467989 | + | 0.883734i | \(0.344979\pi\) | |||||||
\(44\) | −64812.5 | − | 367570.i | −0.114703 | − | 0.650512i | ||||
\(45\) | −1.41744e6 | + | 2.45508e6i | −2.31879 | + | 4.01626i | ||||
\(46\) | 843867. | + | 708088.i | 1.27827 | + | 1.07259i | ||||
\(47\) | −201387. | − | 348812.i | −0.282936 | − | 0.490060i | 0.689170 | − | 0.724599i | \(-0.257975\pi\) |
−0.972107 | + | 0.234539i | \(0.924642\pi\) | |||||||
\(48\) | −866823. | + | 1.50138e6i | −1.13132 | + | 1.95951i | ||||
\(49\) | 359319. | − | 130781.i | 0.436309 | − | 0.158803i | ||||
\(50\) | 1.59461e6 | − | 1.33804e6i | 1.80410 | − | 1.51382i | ||||
\(51\) | −635177. | − | 1.10016e6i | −0.670500 | − | 1.16134i | ||||
\(52\) | 122768. | − | 696251.i | 0.121080 | − | 0.686679i | ||||
\(53\) | 48567.6 | − | 275440.i | 0.0448106 | − | 0.254134i | −0.954171 | − | 0.299263i | \(-0.903259\pi\) |
0.998981 | + | 0.0451299i | \(0.0143702\pi\) | |||||||
\(54\) | −4.14968e6 | − | 3.48200e6i | −3.58622 | − | 3.00919i | ||||
\(55\) | 1.59545e6 | + | 580695.i | 1.29304 | + | 0.470629i | ||||
\(56\) | 245915. | + | 89505.8i | 0.187123 | + | 0.0681072i | ||||
\(57\) | 199138. | + | 167096.i | 0.142427 | + | 0.119510i | ||||
\(58\) | −120886. | + | 685579.i | −0.0813539 | + | 0.461381i | ||||
\(59\) | 368396. | − | 2.08928e6i | 0.233525 | − | 1.32438i | −0.612174 | − | 0.790723i | \(-0.709705\pi\) |
0.845698 | − | 0.533661i | \(-0.179184\pi\) | |||||||
\(60\) | 2.15617e6 | + | 3.73459e6i | 1.28870 | + | 2.23210i | ||||
\(61\) | 1.47280e6 | − | 1.23583e6i | 0.830788 | − | 0.697114i | −0.124684 | − | 0.992197i | \(-0.539792\pi\) |
0.955472 | + | 0.295083i | \(0.0953473\pi\) | |||||||
\(62\) | −480155. | + | 174762.i | −0.255865 | + | 0.0931271i | ||||
\(63\) | −2.02865e6 | + | 3.51372e6i | −1.02215 | + | 1.77041i | ||||
\(64\) | 588517. | + | 1.01934e6i | 0.280627 | + | 0.486060i | ||||
\(65\) | 2.46363e6 | + | 2.06723e6i | 1.11270 | + | 0.933669i | ||||
\(66\) | −2.52681e6 | + | 4.37657e6i | −1.08186 | + | 1.87383i | ||||
\(67\) | 242574. | + | 1.37570e6i | 0.0985330 | + | 0.558809i | 0.993607 | + | 0.112892i | \(0.0360113\pi\) |
−0.895074 | + | 0.445917i | \(0.852878\pi\) | |||||||
\(68\) | −1.42296e6 | −0.548799 | ||||||||
\(69\) | −1.14876e6 | − | 6.51492e6i | −0.420975 | − | 2.38747i | ||||
\(70\) | 3.58127e6 | − | 3.00504e6i | 1.24794 | − | 1.04715i | ||||
\(71\) | −2.82538e6 | − | 1.02835e6i | −0.936855 | − | 0.340987i | −0.171932 | − | 0.985109i | \(-0.555001\pi\) |
−0.764923 | + | 0.644122i | \(0.777223\pi\) | |||||||
\(72\) | 2.26163e6 | − | 823166.i | 0.714098 | − | 0.259910i | ||||
\(73\) | 2.45938e6 | 0.739938 | 0.369969 | − | 0.929044i | \(-0.379368\pi\) | ||||
0.369969 | + | 0.929044i | \(0.379368\pi\) | |||||||
\(74\) | 4.65850e6 | + | 367020.i | 1.33640 | + | 0.105288i | ||||
\(75\) | −1.25008e7 | −3.42156 | ||||||||
\(76\) | 273624. | − | 99591.1i | 0.0715002 | − | 0.0260239i | ||||
\(77\) | 2.28340e6 | + | 831091.i | 0.569987 | + | 0.207458i | ||||
\(78\) | −7.33302e6 | + | 6.15314e6i | −1.74965 | + | 1.46813i | ||||
\(79\) | −1.03939e6 | − | 5.89466e6i | −0.237183 | − | 1.34513i | −0.837968 | − | 0.545719i | \(-0.816257\pi\) |
0.600785 | − | 0.799410i | \(-0.294855\pi\) | |||||||
\(80\) | −8.83360e6 | −1.92896 | ||||||||
\(81\) | 3.32914e6 | + | 1.88805e7i | 0.696040 | + | 3.94744i | ||||
\(82\) | 4.22177e6 | − | 7.31232e6i | 0.845563 | − | 1.46456i | ||||
\(83\) | 2.83744e6 | + | 2.38090e6i | 0.544696 | + | 0.457054i | 0.873140 | − | 0.487469i | \(-0.162080\pi\) |
−0.328444 | + | 0.944523i | \(0.606524\pi\) | |||||||
\(84\) | 3.08591e6 | + | 5.34495e6i | 0.568075 | + | 0.983935i | ||||
\(85\) | 3.23647e6 | − | 5.60573e6i | 0.571618 | − | 0.990071i | ||||
\(86\) | −6.95465e6 | + | 2.53129e6i | −1.17905 | + | 0.429138i | ||||
\(87\) | 3.20256e6 | − | 2.68727e6i | 0.521411 | − | 0.437516i | ||||
\(88\) | −720720. | − | 1.24832e6i | −0.112740 | − | 0.195271i | ||||
\(89\) | −1.87866e6 | + | 1.06544e7i | −0.282477 | + | 1.60201i | 0.431685 | + | 0.902024i | \(0.357919\pi\) |
−0.714162 | + | 0.699981i | \(0.753192\pi\) | |||||||
\(90\) | 7.46603e6 | − | 4.23420e7i | 1.07955 | − | 6.12241i | ||||
\(91\) | 3.52596e6 | + | 2.95863e6i | 0.490492 | + | 0.411572i | ||||
\(92\) | −6.96327e6 | − | 2.53442e6i | −0.932300 | − | 0.339329i | ||||
\(93\) | 2.88349e6 | + | 1.04951e6i | 0.371731 | + | 0.135299i | ||||
\(94\) | 4.67950e6 | + | 3.92657e6i | 0.581101 | + | 0.487602i | ||||
\(95\) | −230010. | + | 1.30445e6i | −0.0275242 | + | 0.156097i | ||||
\(96\) | 3.76815e6 | − | 2.13702e7i | 0.434689 | − | 2.46524i | ||||
\(97\) | 3.44518e6 | + | 5.96722e6i | 0.383275 | + | 0.663852i | 0.991528 | − | 0.129891i | \(-0.0414628\pi\) |
−0.608253 | + | 0.793743i | \(0.708130\pi\) | |||||||
\(98\) | −4.44255e6 | + | 3.72774e6i | −0.476805 | + | 0.400087i | ||||
\(99\) | 2.10000e7 | − | 7.64337e6i | 2.17518 | − | 0.791702i | ||||
\(100\) | −7.00130e6 | + | 1.21266e7i | −0.700130 | + | 1.21266i | ||||
\(101\) | −2.22108e6 | − | 3.84702e6i | −0.214506 | − | 0.371535i | 0.738614 | − | 0.674129i | \(-0.235481\pi\) |
−0.953120 | + | 0.302594i | \(0.902147\pi\) | |||||||
\(102\) | 1.47592e7 | + | 1.23844e7i | 1.37709 | + | 1.15552i | ||||
\(103\) | −7.96551e6 | + | 1.37967e7i | −0.718262 | + | 1.24407i | 0.243425 | + | 0.969920i | \(0.421729\pi\) |
−0.961688 | + | 0.274147i | \(0.911604\pi\) | |||||||
\(104\) | −474125. | − | 2.68889e6i | −0.0413310 | − | 0.234400i | ||||
\(105\) | −2.80751e7 | −2.36678 | ||||||||
\(106\) | 736598. | + | 4.17745e6i | 0.0600703 | + | 0.340676i | ||||
\(107\) | 8.91803e6 | − | 7.48312e6i | 0.703762 | − | 0.590527i | −0.219079 | − | 0.975707i | \(-0.570305\pi\) |
0.922841 | + | 0.385181i | \(0.125861\pi\) | |||||||
\(108\) | 3.42416e7 | + | 1.24629e7i | 2.61560 | + | 0.951999i | ||||
\(109\) | −144386. | + | 52552.2i | −0.0106790 | + | 0.00388685i | −0.347354 | − | 0.937734i | \(-0.612920\pi\) |
0.336675 | + | 0.941621i | \(0.390698\pi\) | |||||||
\(110\) | −2.57502e7 | −1.84462 | ||||||||
\(111\) | −2.00140e7 | − | 1.96710e7i | −1.38901 | − | 1.36520i | ||||
\(112\) | −1.26427e7 | −0.850306 | ||||||||
\(113\) | −100767. | + | 36676.1i | −0.00656966 | + | 0.00239116i | −0.345303 | − | 0.938491i | \(-0.612224\pi\) |
0.338733 | + | 0.940882i | \(0.390002\pi\) | |||||||
\(114\) | −3.70484e6 | − | 1.34845e6i | −0.234208 | − | 0.0852449i | ||||
\(115\) | 2.58219e7 | − | 2.16672e7i | 1.58324 | − | 1.32849i | ||||
\(116\) | −813174. | − | 4.61174e6i | −0.0483705 | − | 0.274323i | ||||
\(117\) | 4.23311e7 | 2.44348 | ||||||||
\(118\) | 5.58726e6 | + | 3.16869e7i | 0.313049 | + | 1.77539i | ||||
\(119\) | 4.63204e6 | − | 8.02294e6i | 0.251976 | − | 0.436434i | ||||
\(120\) | 1.27578e7 | + | 1.07050e7i | 0.673969 | + | 0.565527i | ||||
\(121\) | 3.05146e6 | + | 5.28529e6i | 0.156588 | + | 0.271219i | ||||
\(122\) | −1.45796e7 | + | 2.52526e7i | −0.726918 | + | 1.25906i | ||||
\(123\) | −4.76483e7 | + | 1.73426e7i | −2.30877 | + | 0.840322i | ||||
\(124\) | 2.63304e6 | − | 2.20938e6i | 0.124017 | − | 0.104063i | ||||
\(125\) | −1.37199e7 | − | 2.37636e7i | −0.628298 | − | 1.08824i | ||||
\(126\) | 1.06854e7 | − | 6.05999e7i | 0.475876 | − | 2.69883i | ||||
\(127\) | −1.57757e6 | + | 8.94685e6i | −0.0683402 | + | 0.387576i | 0.931383 | + | 0.364041i | \(0.118603\pi\) |
−0.999723 | + | 0.0235352i | \(0.992508\pi\) | |||||||
\(128\) | 9.68646e6 | + | 8.12791e6i | 0.408254 | + | 0.342566i | ||||
\(129\) | 4.17650e7 | + | 1.52012e7i | 1.71297 | + | 0.623469i | ||||
\(130\) | −4.58344e7 | − | 1.66824e7i | −1.82974 | − | 0.665972i | ||||
\(131\) | −2.93256e7 | − | 2.46071e7i | −1.13972 | − | 0.956337i | −0.140288 | − | 0.990111i | \(-0.544803\pi\) |
−0.999430 | + | 0.0337738i | \(0.989247\pi\) | |||||||
\(132\) | 5.90311e6 | − | 3.34782e7i | 0.223394 | − | 1.26693i | ||||
\(133\) | −329191. | + | 1.86693e6i | −0.0121330 | + | 0.0688095i | ||||
\(134\) | −1.05932e7 | − | 1.83480e7i | −0.380330 | − | 0.658751i | ||||
\(135\) | −1.26978e8 | + | 1.06548e8i | −4.44183 | + | 3.72714i | ||||
\(136\) | −5.16402e6 | + | 1.87955e6i | −0.176036 | + | 0.0640719i | ||||
\(137\) | −912691. | + | 1.58083e6i | −0.0303251 | + | 0.0525245i | −0.880790 | − | 0.473508i | \(-0.842988\pi\) |
0.850465 | + | 0.526032i | \(0.176321\pi\) | |||||||
\(138\) | 5.01663e7 | + | 8.68905e7i | 1.62493 | + | 2.81446i | ||||
\(139\) | 2.21287e7 | + | 1.85682e7i | 0.698883 | + | 0.586432i | 0.921456 | − | 0.388484i | \(-0.127001\pi\) |
−0.222573 | + | 0.974916i | \(0.571445\pi\) | |||||||
\(140\) | −1.57239e7 | + | 2.72346e7i | −0.484298 | + | 0.838828i | ||||
\(141\) | −6.37020e6 | − | 3.61272e7i | −0.191376 | − | 1.08534i | ||||
\(142\) | 4.56011e7 | 1.33649 | ||||||||
\(143\) | −4.40241e6 | − | 2.49673e7i | −0.125897 | − | 0.713995i | ||||
\(144\) | −8.90694e7 | + | 7.47381e7i | −2.48576 | + | 2.08580i | ||||
\(145\) | 2.00174e7 | + | 7.28573e6i | 0.545279 | + | 0.198465i | ||||
\(146\) | −3.50506e7 | + | 1.27574e7i | −0.932095 | + | 0.339255i | ||||
\(147\) | 3.48270e7 | 0.904285 | ||||||||
\(148\) | −3.02913e7 | + | 8.39782e6i | −0.768072 | + | 0.212937i | ||||
\(149\) | −3.79371e7 | −0.939534 | −0.469767 | − | 0.882790i | \(-0.655662\pi\) | ||||
−0.469767 | + | 0.882790i | \(0.655662\pi\) | |||||||
\(150\) | 1.78159e8 | − | 6.48447e7i | 4.31012 | − | 1.56876i | ||||
\(151\) | 6.34532e7 | + | 2.30951e7i | 1.49980 | + | 0.545884i | 0.956010 | − | 0.293335i | \(-0.0947652\pi\) |
0.543794 | + | 0.839219i | \(0.316987\pi\) | |||||||
\(152\) | 861452. | − | 722844.i | 0.0198966 | − | 0.0166952i | ||||
\(153\) | −1.47948e7 | − | 8.39055e7i | −0.333956 | − | 1.89396i | ||||
\(154\) | −3.68537e7 | −0.813127 | ||||||||
\(155\) | 2.71507e6 | + | 1.53979e7i | 0.0585625 | + | 0.332125i | ||||
\(156\) | 3.21963e7 | − | 5.57657e7i | 0.679001 | − | 1.17606i | ||||
\(157\) | −2.22398e7 | − | 1.86614e7i | −0.458651 | − | 0.384854i | 0.383983 | − | 0.923340i | \(-0.374552\pi\) |
−0.842634 | + | 0.538486i | \(0.818996\pi\) | |||||||
\(158\) | 4.53901e7 | + | 7.86180e7i | 0.915507 | + | 1.58571i | ||||
\(159\) | 1.27370e7 | − | 2.20612e7i | 0.251292 | − | 0.435250i | ||||
\(160\) | 1.03901e8 | − | 3.78170e7i | 2.00540 | − | 0.729906i | ||||
\(161\) | 3.69564e7 | − | 3.10101e7i | 0.697909 | − | 0.585616i | ||||
\(162\) | −1.45384e8 | − | 2.51812e8i | −2.68666 | − | 4.65344i | ||||
\(163\) | 9.13476e6 | − | 5.18058e7i | 0.165212 | − | 0.936962i | −0.783634 | − | 0.621222i | \(-0.786636\pi\) |
0.948846 | − | 0.315739i | \(-0.102253\pi\) | |||||||
\(164\) | −9.86284e6 | + | 5.59349e7i | −0.174602 | + | 0.990215i | ||||
\(165\) | 1.18460e8 | + | 9.93998e7i | 2.05295 | + | 1.72263i | ||||
\(166\) | −5.27890e7 | − | 1.92136e7i | −0.895705 | − | 0.326010i | ||||
\(167\) | −3.24281e7 | − | 1.18029e7i | −0.538784 | − | 0.196101i | 0.0582725 | − | 0.998301i | \(-0.481441\pi\) |
−0.597056 | + | 0.802200i | \(0.703663\pi\) | |||||||
\(168\) | 1.82589e7 | + | 1.53211e7i | 0.297093 | + | 0.249291i | ||||
\(169\) | −2.55713e6 | + | 1.45022e7i | −0.0407520 | + | 0.231116i | ||||
\(170\) | −1.70473e7 | + | 9.66802e7i | −0.266125 | + | 1.50927i | ||||
\(171\) | 8.71734e6 | + | 1.50989e7i | 0.133321 | + | 0.230918i | ||||
\(172\) | 3.81374e7 | − | 3.20010e7i | 0.571480 | − | 0.479529i | ||||
\(173\) | −2.87183e7 | + | 1.04526e7i | −0.421694 | + | 0.153484i | −0.544147 | − | 0.838990i | \(-0.683146\pi\) |
0.122452 | + | 0.992474i | \(0.460924\pi\) | |||||||
\(174\) | −3.17028e7 | + | 5.49109e7i | −0.456221 | + | 0.790199i | ||||
\(175\) | −4.55813e7 | − | 7.89492e7i | −0.642915 | − | 1.11356i | ||||
\(176\) | 5.33445e7 | + | 4.47613e7i | 0.737556 | + | 0.618883i | ||||
\(177\) | 9.66132e7 | − | 1.67339e8i | 1.30957 | − | 2.26825i | ||||
\(178\) | −2.84926e7 | − | 1.61589e8i | −0.378671 | − | 2.14755i | ||||
\(179\) | 1.90114e7 | 0.247759 | 0.123879 | − | 0.992297i | \(-0.460466\pi\) | ||||
0.123879 | + | 0.992297i | \(0.460466\pi\) | |||||||
\(180\) | 5.02223e7 | + | 2.84825e8i | 0.641864 | + | 3.64019i | ||||
\(181\) | −5.83917e7 | + | 4.89965e7i | −0.731941 | + | 0.614172i | −0.930660 | − | 0.365885i | \(-0.880766\pi\) |
0.198719 | + | 0.980057i | \(0.436322\pi\) | |||||||
\(182\) | −6.55983e7 | − | 2.38758e7i | −0.806572 | − | 0.293568i | ||||
\(183\) | 1.64550e8 | − | 5.98913e7i | 1.98481 | − | 0.722413i | ||||
\(184\) | −2.86177e7 | −0.338667 | ||||||||
\(185\) | 3.58132e7 | − | 1.38432e8i | 0.415856 | − | 1.60745i | ||||
\(186\) | −4.65390e7 | −0.530301 | ||||||||
\(187\) | −4.79497e7 | + | 1.74523e7i | −0.536216 | + | 0.195167i | ||||
\(188\) | −3.86134e7 | − | 1.40541e7i | −0.423824 | − | 0.154259i | ||||
\(189\) | −1.81732e8 | + | 1.52491e8i | −1.95801 | + | 1.64296i | ||||
\(190\) | −3.48844e6 | − | 1.97839e7i | −0.0368972 | − | 0.209254i | ||||
\(191\) | −7.33990e7 | −0.762207 | −0.381104 | − | 0.924532i | \(-0.624456\pi\) | ||||
−0.381104 | + | 0.924532i | \(0.624456\pi\) | |||||||
\(192\) | 1.86158e7 | + | 1.05575e8i | 0.189813 | + | 1.07648i | ||||
\(193\) | −5.10913e7 | + | 8.84928e7i | −0.511560 | + | 0.886048i | 0.488350 | + | 0.872648i | \(0.337599\pi\) |
−0.999910 | + | 0.0134003i | \(0.995734\pi\) | |||||||
\(194\) | −8.00534e7 | − | 6.71728e7i | −0.787179 | − | 0.660522i | ||||
\(195\) | 1.46458e8 | + | 2.53673e8i | 1.41447 | + | 2.44993i | ||||
\(196\) | 1.95054e7 | − | 3.37844e7i | 0.185037 | − | 0.320494i | ||||
\(197\) | 8.60294e7 | − | 3.13121e7i | 0.801706 | − | 0.291797i | 0.0915126 | − | 0.995804i | \(-0.470830\pi\) |
0.710193 | + | 0.704007i | \(0.248608\pi\) | |||||||
\(198\) | −2.59640e8 | + | 2.17864e8i | −2.37708 | + | 1.99460i | ||||
\(199\) | 1.59971e7 | + | 2.77078e7i | 0.143898 | + | 0.249239i | 0.928961 | − | 0.370177i | \(-0.120703\pi\) |
−0.785063 | + | 0.619416i | \(0.787370\pi\) | |||||||
\(200\) | −9.39046e6 | + | 5.32559e7i | −0.0830007 | + | 0.470720i | ||||
\(201\) | −2.20936e7 | + | 1.25299e8i | −0.191902 | + | 1.08833i | ||||
\(202\) | 5.16097e7 | + | 4.33057e7i | 0.440557 | + | 0.369671i | ||||
\(203\) | 2.86489e7 | + | 1.04273e7i | 0.240365 | + | 0.0874858i | ||||
\(204\) | −1.21787e8 | − | 4.43269e7i | −1.00438 | − | 0.365563i | ||||
\(205\) | −1.97922e8 | − | 1.66076e8i | −1.60456 | − | 1.34638i | ||||
\(206\) | 4.19564e7 | − | 2.37946e8i | 0.334397 | − | 1.89646i | ||||
\(207\) | 7.70446e7 | − | 4.36942e8i | 0.603735 | − | 3.42395i | ||||
\(208\) | 6.59525e7 | + | 1.14233e8i | 0.508171 | + | 0.880178i | ||||
\(209\) | 7.99887e6 | − | 6.71185e6i | 0.0606061 | − | 0.0508546i | ||||
\(210\) | 4.00121e8 | − | 1.45632e8i | 2.98142 | − | 1.08515i | ||||
\(211\) | 1.73342e7 | − | 3.00237e7i | 0.127033 | − | 0.220027i | −0.795493 | − | 0.605963i | \(-0.792788\pi\) |
0.922526 | + | 0.385936i | \(0.126121\pi\) | |||||||
\(212\) | −1.42672e7 | − | 2.47114e7i | −0.102840 | − | 0.178124i | ||||
\(213\) | −2.09781e8 | − | 1.76027e8i | −1.48744 | − | 1.24811i | ||||
\(214\) | −8.82814e7 | + | 1.52908e8i | −0.615774 | + | 1.06655i | ||||
\(215\) | 3.93255e7 | + | 2.23026e8i | 0.269861 | + | 1.53046i | ||||
\(216\) | 1.40727e8 | 0.950141 | ||||||||
\(217\) | 3.88581e6 | + | 2.20375e7i | 0.0258150 | + | 0.146404i | ||||
\(218\) | 1.78516e6 | − | 1.49793e6i | 0.0116702 | − | 0.00979249i | ||||
\(219\) | 2.10491e8 | + | 7.66124e7i | 1.35419 | + | 0.492884i | ||||
\(220\) | 1.62770e8 | − | 5.92433e7i | 1.03061 | − | 0.375111i | ||||
\(221\) | −9.66553e7 | −0.602355 | ||||||||
\(222\) | 3.87274e8 | + | 1.76530e8i | 2.37565 | + | 1.08289i | ||||
\(223\) | 2.16581e8 | 1.30784 | 0.653918 | − | 0.756565i | \(-0.273124\pi\) | ||||
0.653918 | + | 0.756565i | \(0.273124\pi\) | |||||||
\(224\) | 1.48704e8 | − | 5.41237e7i | 0.884003 | − | 0.321751i | ||||
\(225\) | −7.87842e8 | − | 2.86751e8i | −4.61105 | − | 1.67829i | ||||
\(226\) | 1.24586e6 | − | 1.04540e6i | 0.00717943 | − | 0.00602426i | ||||
\(227\) | 5.41808e6 | + | 3.07274e7i | 0.0307436 | + | 0.174356i | 0.996313 | − | 0.0857887i | \(-0.0273410\pi\) |
−0.965570 | + | 0.260144i | \(0.916230\pi\) | |||||||
\(228\) | 2.65211e7 | 0.148190 | ||||||||
\(229\) | 3.01578e7 | + | 1.71034e8i | 0.165949 | + | 0.941146i | 0.948080 | + | 0.318032i | \(0.103022\pi\) |
−0.782131 | + | 0.623114i | \(0.785867\pi\) | |||||||
\(230\) | −2.55617e8 | + | 4.42741e8i | −1.38529 | + | 2.39940i | ||||
\(231\) | 1.69540e8 | + | 1.42261e8i | 0.904963 | + | 0.759354i | ||||
\(232\) | −9.04256e6 | − | 1.56622e7i | −0.0475427 | − | 0.0823463i | ||||
\(233\) | 5.46875e7 | − | 9.47214e7i | 0.283232 | − | 0.490572i | −0.688947 | − | 0.724812i | \(-0.741927\pi\) |
0.972179 | + | 0.234240i | \(0.0752601\pi\) | |||||||
\(234\) | −6.03294e8 | + | 2.19581e8i | −3.07804 | + | 1.12031i | ||||
\(235\) | 1.43191e8 | − | 1.20151e8i | 0.719742 | − | 0.603935i | ||||
\(236\) | −1.08220e8 | − | 1.87442e8i | −0.535937 | − | 0.928271i | ||||
\(237\) | 9.46672e7 | − | 5.36884e8i | 0.461934 | − | 2.61976i | ||||
\(238\) | −2.43982e7 | + | 1.38369e8i | −0.117311 | + | 0.665302i | ||||
\(239\) | 1.74780e8 | + | 1.46658e8i | 0.828132 | + | 0.694885i | 0.954861 | − | 0.297052i | \(-0.0960035\pi\) |
−0.126729 | + | 0.991937i | \(0.540448\pi\) | |||||||
\(240\) | −7.56041e8 | − | 2.75176e8i | −3.53025 | − | 1.28491i | ||||
\(241\) | −1.57723e8 | − | 5.74066e7i | −0.725832 | − | 0.264181i | −0.0474323 | − | 0.998874i | \(-0.515104\pi\) |
−0.678399 | + | 0.734693i | \(0.737326\pi\) | |||||||
\(242\) | −7.09048e7 | − | 5.94962e7i | −0.321605 | − | 0.269858i | ||||
\(243\) | −1.67575e8 | + | 9.50364e8i | −0.749181 | + | 4.24882i | ||||
\(244\) | 3.40606e7 | − | 1.93167e8i | 0.150102 | − | 0.851273i | ||||
\(245\) | 8.87286e7 | + | 1.53682e8i | 0.385462 | + | 0.667641i | ||||
\(246\) | 5.89115e8 | − | 4.94326e8i | 2.52306 | − | 2.11710i | ||||
\(247\) | 1.85860e7 | − | 6.76476e6i | 0.0784778 | − | 0.0285636i | ||||
\(248\) | 6.63714e6 | − | 1.14959e7i | 0.0276312 | − | 0.0478587i | ||||
\(249\) | 1.68681e8 | + | 2.92163e8i | 0.692417 | + | 1.19930i | ||||
\(250\) | 3.18801e8 | + | 2.67505e8i | 1.29041 | + | 1.08279i | ||||
\(251\) | 9.59460e7 | − | 1.66183e8i | 0.382973 | − | 0.663329i | −0.608512 | − | 0.793544i | \(-0.708233\pi\) |
0.991486 | + | 0.130215i | \(0.0415667\pi\) | |||||||
\(252\) | 7.18783e7 | + | 4.07642e8i | 0.282941 | + | 1.60464i | ||||
\(253\) | −2.65725e8 | −1.03160 | ||||||||
\(254\) | −2.39262e7 | − | 1.35692e8i | −0.0916126 | − | 0.519561i | ||||
\(255\) | 4.51625e8 | − | 3.78958e8i | 1.70564 | − | 1.43120i | ||||
\(256\) | −3.21785e8 | − | 1.17120e8i | −1.19874 | − | 0.436307i | ||||
\(257\) | −1.69031e8 | + | 6.15222e7i | −0.621155 | + | 0.226082i | −0.633377 | − | 0.773843i | \(-0.718332\pi\) |
0.0122221 | + | 0.999925i | \(0.496109\pi\) | |||||||
\(258\) | −6.74080e8 | −2.44367 | ||||||||
\(259\) | 5.12560e7 | − | 1.98125e8i | 0.183314 | − | 0.708580i | ||||
\(260\) | 3.28105e8 | 1.15773 | ||||||||
\(261\) | 2.63478e8 | − | 9.58981e7i | 0.917281 | − | 0.333863i | ||||
\(262\) | 5.45586e8 | + | 1.98577e8i | 1.87417 | + | 0.682141i | ||||
\(263\) | 1.58347e8 | − | 1.32869e8i | 0.536739 | − | 0.450378i | −0.333682 | − | 0.942686i | \(-0.608291\pi\) |
0.870421 | + | 0.492308i | \(0.163847\pi\) | |||||||
\(264\) | −2.27976e7 | − | 1.29291e8i | −0.0762561 | − | 0.432470i | ||||
\(265\) | 1.29800e8 | 0.428464 | ||||||||
\(266\) | −4.99266e6 | − | 2.83148e7i | −0.0162647 | − | 0.0922417i | ||||
\(267\) | −4.92685e8 | + | 8.53355e8i | −1.58409 | + | 2.74372i | ||||
\(268\) | 1.09174e8 | + | 9.16078e7i | 0.346455 | + | 0.290710i | ||||
\(269\) | −1.85272e8 | − | 3.20901e8i | −0.580334 | − | 1.00517i | −0.995440 | − | 0.0953945i | \(-0.969589\pi\) |
0.415106 | − | 0.909773i | \(-0.363745\pi\) | |||||||
\(270\) | 1.25698e9 | − | 2.17716e9i | 3.88648 | − | 6.73159i | ||||
\(271\) | −5.37494e8 | + | 1.95632e8i | −1.64052 | + | 0.597100i | −0.987129 | − | 0.159924i | \(-0.948875\pi\) |
−0.653388 | + | 0.757023i | \(0.726653\pi\) | |||||||
\(272\) | 2.03374e8 | − | 1.70651e8i | 0.612779 | − | 0.514183i | ||||
\(273\) | 2.09611e8 | + | 3.63057e8i | 0.623513 | + | 1.07996i | ||||
\(274\) | 4.80737e6 | − | 2.72640e7i | 0.0141183 | − | 0.0800686i | ||||
\(275\) | −8.71935e7 | + | 4.94499e8i | −0.252825 | + | 1.43384i | ||||
\(276\) | −5.17015e8 | − | 4.33827e8i | −1.48020 | − | 1.24204i | ||||
\(277\) | −4.06757e8 | − | 1.48047e8i | −1.14989 | − | 0.418525i | −0.304413 | − | 0.952540i | \(-0.598460\pi\) |
−0.845475 | + | 0.534015i | \(0.820682\pi\) | |||||||
\(278\) | −4.11692e8 | − | 1.49844e8i | −1.14925 | − | 0.418294i | ||||
\(279\) | 1.57653e8 | + | 1.32286e8i | 0.434597 | + | 0.364670i | ||||
\(280\) | −2.10896e7 | + | 1.19605e8i | −0.0574137 | + | 0.325609i | ||||
\(281\) | −3.87881e7 | + | 2.19978e8i | −0.104286 | + | 0.591435i | 0.887217 | + | 0.461352i | \(0.152636\pi\) |
−0.991503 | + | 0.130083i | \(0.958476\pi\) | |||||||
\(282\) | 2.78187e8 | + | 4.81834e8i | 0.738695 | + | 1.27946i | ||||
\(283\) | 1.89890e8 | − | 1.59337e8i | 0.498024 | − | 0.417892i | −0.358868 | − | 0.933388i | \(-0.616837\pi\) |
0.856891 | + | 0.515497i | \(0.172393\pi\) | |||||||
\(284\) | −2.88249e8 | + | 1.04914e8i | −0.746713 | + | 0.271781i | ||||
\(285\) | −6.03210e7 | + | 1.04479e8i | −0.154352 | + | 0.267345i | ||||
\(286\) | 1.92253e8 | + | 3.32993e8i | 0.485952 | + | 0.841693i | ||||
\(287\) | −2.83266e8 | − | 2.37688e8i | −0.707306 | − | 0.593500i | ||||
\(288\) | 7.27683e8 | − | 1.26038e9i | 1.79502 | − | 3.10906i | ||||
\(289\) | −3.74733e7 | − | 2.12522e8i | −0.0913229 | − | 0.517918i | ||||
\(290\) | −3.23076e8 | −0.777880 | ||||||||
\(291\) | 1.08977e8 | + | 6.18038e8i | 0.259244 | + | 1.47024i | ||||
\(292\) | 1.92208e8 | − | 1.61281e8i | 0.451784 | − | 0.379092i | ||||
\(293\) | 1.27032e8 | + | 4.62358e7i | 0.295037 | + | 0.107385i | 0.485298 | − | 0.874349i | \(-0.338711\pi\) |
−0.190261 | + | 0.981734i | \(0.560933\pi\) | |||||||
\(294\) | −4.96348e8 | + | 1.80656e8i | −1.13912 | + | 0.414607i | ||||
\(295\) | 9.84564e8 | 2.23289 | ||||||||
\(296\) | −9.88364e7 | + | 7.04870e7i | −0.221511 | + | 0.157975i | ||||
\(297\) | 1.30669e9 | 2.89418 | ||||||||
\(298\) | 5.40673e8 | − | 1.96789e8i | 1.18353 | − | 0.430768i | ||||
\(299\) | −4.72982e8 | − | 1.72151e8i | −1.02328 | − | 0.372444i | ||||
\(300\) | −9.76977e8 | + | 8.19781e8i | −2.08910 | + | 1.75297i | ||||
\(301\) | 5.62828e7 | + | 3.19195e8i | 0.118958 | + | 0.674643i | ||||
\(302\) | −1.02412e9 | −2.13958 | ||||||||
\(303\) | −7.02563e7 | − | 3.98443e8i | −0.145090 | − | 0.822844i | ||||
\(304\) | −2.71635e7 | + | 4.70486e7i | −0.0554535 | + | 0.0960482i | ||||
\(305\) | 6.83508e8 | + | 5.73531e8i | 1.37941 | + | 1.15746i | ||||
\(306\) | 6.46090e8 | + | 1.11906e9i | 1.28905 | + | 2.23269i | ||||
\(307\) | −3.59755e8 | + | 6.23114e8i | −0.709614 | + | 1.22909i | 0.255386 | + | 0.966839i | \(0.417798\pi\) |
−0.965000 | + | 0.262249i | \(0.915536\pi\) | |||||||
\(308\) | 2.32956e8 | − | 8.47891e7i | 0.454304 | − | 0.165353i | ||||
\(309\) | −1.11153e9 | + | 9.32680e8i | −2.14321 | + | 1.79837i | ||||
\(310\) | −1.18567e8 | − | 2.05364e8i | −0.226047 | − | 0.391525i | ||||
\(311\) | −3.60833e7 | + | 2.04638e8i | −0.0680212 | + | 0.385768i | 0.931723 | + | 0.363169i | \(0.118305\pi\) |
−0.999745 | + | 0.0225988i | \(0.992806\pi\) | |||||||
\(312\) | 4.31832e7 | − | 2.44904e8i | 0.0804958 | − | 0.456515i | ||||
\(313\) | −5.09234e8 | − | 4.27298e8i | −0.938669 | − | 0.787637i | 0.0386841 | − | 0.999251i | \(-0.487683\pi\) |
−0.977353 | + | 0.211615i | \(0.932128\pi\) | |||||||
\(314\) | 4.13759e8 | + | 1.50596e8i | 0.754212 | + | 0.274511i | ||||
\(315\) | −1.76938e9 | − | 6.44002e8i | −3.18958 | − | 1.16091i | ||||
\(316\) | −4.67792e8 | − | 3.92524e8i | −0.833965 | − | 0.699780i | ||||
\(317\) | 1.75439e8 | − | 9.94966e8i | 0.309328 | − | 1.75429i | −0.293070 | − | 0.956091i | \(-0.594677\pi\) |
0.602398 | − | 0.798196i | \(-0.294212\pi\) | |||||||
\(318\) | −6.70892e7 | + | 3.80482e8i | −0.116992 | + | 0.663497i | ||||
\(319\) | −8.39632e7 | − | 1.45429e8i | −0.144818 | − | 0.250832i | ||||
\(320\) | −4.18448e8 | + | 3.51120e8i | −0.713866 | + | 0.599005i | ||||
\(321\) | 9.96375e8 | − | 3.62651e8i | 1.68134 | − | 0.611957i | ||||
\(322\) | −3.65839e8 | + | 6.33651e8i | −0.610653 | + | 1.05768i | ||||
\(323\) | −1.99045e7 | − | 3.44755e7i | −0.0328656 | − | 0.0569249i | ||||
\(324\) | 1.49833e9 | + | 1.25725e9i | 2.44737 | + | 2.05359i | ||||
\(325\) | −4.75565e8 | + | 8.23703e8i | −0.768454 | + | 1.33100i | ||||
\(326\) | 1.38542e8 | + | 7.85711e8i | 0.221472 | + | 1.25603i | ||||
\(327\) | −1.39946e7 | −0.0221332 | ||||||||
\(328\) | 3.80899e7 | + | 2.16019e8i | 0.0596007 | + | 0.338012i | ||||
\(329\) | 2.04934e8 | − | 1.71960e8i | 0.317270 | − | 0.266221i | ||||
\(330\) | −2.20388e9 | − | 8.02147e8i | −3.37590 | − | 1.22873i | ||||
\(331\) | −4.70762e8 | + | 1.71343e8i | −0.713515 | + | 0.259698i | −0.673170 | − | 0.739488i | \(-0.735068\pi\) |
−0.0403449 | + | 0.999186i | \(0.512846\pi\) | |||||||
\(332\) | 3.77889e8 | 0.566737 | ||||||||
\(333\) | −8.10124e8 | − | 1.69882e9i | −1.20225 | − | 2.52112i | ||||
\(334\) | 5.23384e8 | 0.768613 | ||||||||
\(335\) | −6.09198e8 | + | 2.21730e8i | −0.885323 | + | 0.322231i | ||||
\(336\) | −1.08205e9 | − | 3.93833e8i | −1.55618 | − | 0.566402i | ||||
\(337\) | 8.10770e8 | − | 6.80317e8i | 1.15397 | − | 0.968293i | 0.154161 | − | 0.988046i | \(-0.450732\pi\) |
0.999805 | + | 0.0197531i | \(0.00628801\pi\) | |||||||
\(338\) | −3.87825e7 | − | 2.19947e8i | −0.0546296 | − | 0.309820i | ||||
\(339\) | −9.76682e6 | −0.0136162 | ||||||||
\(340\) | −1.14674e8 | − | 6.50346e8i | −0.158229 | − | 0.897364i | ||||
\(341\) | 6.16280e7 | − | 1.06743e8i | 0.0841663 | − | 0.145780i | ||||
\(342\) | −2.02559e8 | − | 1.69967e8i | −0.273817 | − | 0.229760i | ||||
\(343\) | 4.00488e8 | + | 6.93665e8i | 0.535870 | + | 0.928155i | ||||
\(344\) | 9.61335e7 | − | 1.66508e8i | 0.127327 | − | 0.220537i | ||||
\(345\) | 2.88498e9 | − | 1.05005e9i | 3.78247 | − | 1.37671i | ||||
\(346\) | 3.55068e8 | − | 2.97937e8i | 0.460835 | − | 0.386686i | ||||
\(347\) | −7.03164e8 | − | 1.21792e9i | −0.903448 | − | 1.56482i | −0.822986 | − | 0.568061i | \(-0.807694\pi\) |
−0.0804620 | − | 0.996758i | \(-0.525640\pi\) | |||||||
\(348\) | 7.40637e7 | − | 4.20036e8i | 0.0942059 | − | 0.534268i | ||||
\(349\) | 6.30835e7 | − | 3.57764e8i | 0.0794377 | − | 0.450513i | −0.918981 | − | 0.394301i | \(-0.870987\pi\) |
0.998419 | − | 0.0562121i | \(-0.0179023\pi\) | |||||||
\(350\) | 1.05914e9 | + | 8.88727e8i | 1.32043 | + | 1.10798i | ||||
\(351\) | 2.32587e9 | + | 8.46548e8i | 2.87085 | + | 1.04490i | ||||
\(352\) | −8.19066e8 | − | 2.98115e8i | −1.00097 | − | 0.364322i | ||||
\(353\) | 9.47976e7 | + | 7.95446e7i | 0.114706 | + | 0.0962497i | 0.698337 | − | 0.715770i | \(-0.253924\pi\) |
−0.583631 | + | 0.812019i | \(0.698368\pi\) | |||||||
\(354\) | −5.08887e8 | + | 2.88604e9i | −0.609691 | + | 3.45773i | ||||
\(355\) | 2.42304e8 | − | 1.37417e9i | 0.287449 | − | 1.63020i | ||||
\(356\) | 5.51873e8 | + | 9.55871e8i | 0.648282 | + | 1.12286i | ||||
\(357\) | 6.46366e8 | − | 5.42366e8i | 0.751865 | − | 0.630890i | ||||
\(358\) | −2.70947e8 | + | 9.86167e7i | −0.312100 | + | 0.113595i | ||||
\(359\) | 1.89972e8 | − | 3.29041e8i | 0.216700 | − | 0.375335i | −0.737097 | − | 0.675787i | \(-0.763804\pi\) |
0.953797 | + | 0.300451i | \(0.0971373\pi\) | |||||||
\(360\) | 5.58476e8 | + | 9.67309e8i | 0.630879 | + | 1.09271i | ||||
\(361\) | −6.78505e8 | − | 5.69333e8i | −0.759063 | − | 0.636930i | ||||
\(362\) | 5.78031e8 | − | 1.00118e9i | 0.640430 | − | 1.10926i | ||||
\(363\) | 9.65228e7 | + | 5.47408e8i | 0.105915 | + | 0.600673i | ||||
\(364\) | 4.69585e8 | 0.510340 | ||||||||
\(365\) | 1.98196e8 | + | 1.12402e9i | 0.213339 | + | 1.20990i | ||||
\(366\) | −2.03447e9 | + | 1.70712e9i | −2.16904 | + | 1.82004i | ||||
\(367\) | −8.26219e8 | − | 3.00719e8i | −0.872497 | − | 0.317563i | −0.133319 | − | 0.991073i | \(-0.542563\pi\) |
−0.739178 | + | 0.673510i | \(0.764786\pi\) | |||||||
\(368\) | 1.29915e9 | − | 4.72853e8i | 1.35892 | − | 0.494605i | ||||
\(369\) | −3.40076e9 | −3.52358 | ||||||||
\(370\) | 2.07677e8 | + | 2.15868e9i | 0.213149 | + | 2.21556i | ||||
\(371\) | 1.85770e8 | 0.188872 | ||||||||
\(372\) | 2.94178e8 | − | 1.07072e8i | 0.296285 | − | 0.107839i | ||||
\(373\) | −2.63078e8 | − | 9.57526e7i | −0.262484 | − | 0.0955365i | 0.207426 | − | 0.978251i | \(-0.433491\pi\) |
−0.469910 | + | 0.882714i | \(0.655714\pi\) | |||||||
\(374\) | 5.92841e8 | − | 4.97452e8i | 0.585986 | − | 0.491701i | ||||
\(375\) | −4.33983e8 | − | 2.46124e9i | −0.424975 | − | 2.41015i | ||||
\(376\) | −1.58694e8 | −0.153958 | ||||||||
\(377\) | −5.52351e7 | − | 3.13254e8i | −0.0530909 | − | 0.301094i | ||||
\(378\) | 1.79900e9 | − | 3.11596e9i | 1.71321 | − | 2.96736i | ||||
\(379\) | 9.56196e7 | + | 8.02343e7i | 0.0902214 | + | 0.0757047i | 0.686783 | − | 0.726863i | \(-0.259022\pi\) |
−0.596561 | + | 0.802567i | \(0.703467\pi\) | |||||||
\(380\) | 6.75675e7 | + | 1.17030e8i | 0.0631678 | + | 0.109410i | ||||
\(381\) | −4.13724e8 | + | 7.16591e8i | −0.383242 | + | 0.663795i | ||||
\(382\) | 1.04607e9 | − | 3.80738e8i | 0.960148 | − | 0.349465i | ||||
\(383\) | 3.96736e8 | − | 3.32901e8i | 0.360833 | − | 0.302774i | −0.444290 | − | 0.895883i | \(-0.646544\pi\) |
0.805122 | + | 0.593109i | \(0.202100\pi\) | |||||||
\(384\) | 5.75842e8 | + | 9.97387e8i | 0.518972 | + | 0.898886i | ||||
\(385\) | −1.95824e8 | + | 1.11057e9i | −0.174885 | + | 0.991825i | ||||
\(386\) | 2.69111e8 | − | 1.52620e9i | 0.238164 | − | 1.35070i | ||||
\(387\) | 2.28347e9 | + | 1.91606e9i | 2.00266 | + | 1.68043i | ||||
\(388\) | 6.60570e8 | + | 2.40428e8i | 0.574127 | + | 0.208965i | ||||
\(389\) | 7.56285e8 | + | 2.75265e8i | 0.651421 | + | 0.237098i | 0.646528 | − | 0.762890i | \(-0.276220\pi\) |
0.00489300 | + | 0.999988i | \(0.498443\pi\) | |||||||
\(390\) | −3.40316e9 | − | 2.85559e9i | −2.90507 | − | 2.43764i | ||||
\(391\) | −1.75917e8 | + | 9.97677e8i | −0.148830 | + | 0.844056i | ||||
\(392\) | 2.61616e7 | − | 1.48370e8i | 0.0219363 | − | 0.124407i | ||||
\(393\) | −1.74335e9 | − | 3.01957e9i | −1.44881 | − | 2.50941i | ||||
\(394\) | −1.06365e9 | + | 8.92509e8i | −0.876117 | + | 0.735150i | ||||
\(395\) | 2.61031e9 | − | 9.50076e8i | 2.13109 | − | 0.775655i | ||||
\(396\) | 1.13997e9 | − | 1.97449e9i | 0.922490 | − | 1.59780i | ||||
\(397\) | 9.01207e8 | + | 1.56094e9i | 0.722866 | + | 1.25204i | 0.959846 | + | 0.280526i | \(0.0905090\pi\) |
−0.236980 | + | 0.971515i | \(0.576158\pi\) | |||||||
\(398\) | −3.71714e8 | − | 3.11905e8i | −0.295542 | − | 0.247989i | ||||
\(399\) | −8.63315e7 | + | 1.49531e8i | −0.0680400 | + | 0.117849i | ||||
\(400\) | −4.53655e8 | − | 2.57281e9i | −0.354418 | − | 2.01000i | ||||
\(401\) | 1.56319e9 | 1.21061 | 0.605306 | − | 0.795993i | \(-0.293051\pi\) | ||||
0.605306 | + | 0.795993i | \(0.293051\pi\) | |||||||
\(402\) | −3.35081e8 | − | 1.90034e9i | −0.257252 | − | 1.45895i | ||||
\(403\) | 1.78850e8 | − | 1.50073e8i | 0.136120 | − | 0.114218i | ||||
\(404\) | −4.25864e8 | − | 1.55002e8i | −0.321319 | − | 0.116950i | ||||
\(405\) | −8.36078e9 | + | 3.04307e9i | −6.25395 | + | 2.27625i | ||||
\(406\) | −4.62388e8 | −0.342898 | ||||||||
\(407\) | −9.17730e8 | + | 6.54496e8i | −0.674737 | + | 0.481201i | ||||
\(408\) | −5.00523e8 | −0.364849 | ||||||||
\(409\) | 2.89711e7 | − | 1.05446e7i | 0.0209379 | − | 0.00762079i | −0.331530 | − | 0.943445i | \(-0.607565\pi\) |
0.352468 | + | 0.935824i | \(0.385343\pi\) | |||||||
\(410\) | 3.68222e9 | + | 1.34022e9i | 2.63855 | + | 0.960355i | ||||
\(411\) | −1.27359e8 | + | 1.06867e8i | −0.0904863 | + | 0.0759271i | ||||
\(412\) | 2.82231e8 | + | 1.60061e9i | 0.198822 | + | 1.12758i | ||||
\(413\) | 1.40911e9 | 0.984282 | ||||||||
\(414\) | 1.16849e9 | + | 6.62686e9i | 0.809329 | + | 4.58993i | ||||
\(415\) | −8.59493e8 | + | 1.48869e9i | −0.590302 | + | 1.02243i | ||||
\(416\) | −1.26477e9 | − | 1.06127e9i | −0.861363 | − | 0.722769i | ||||
\(417\) | 1.31551e9 | + | 2.27853e9i | 0.888419 | + | 1.53879i | ||||
\(418\) | −7.91824e7 | + | 1.37148e8i | −0.0530288 | + | 0.0918486i | ||||
\(419\) | −6.25864e7 | + | 2.27796e7i | −0.0415653 | + | 0.0151285i | −0.362719 | − | 0.931899i | \(-0.618152\pi\) |
0.321154 | + | 0.947027i | \(0.395929\pi\) | |||||||
\(420\) | −2.19415e9 | + | 1.84111e9i | −1.44509 | + | 1.21257i | ||||
\(421\) | −1.30888e9 | − | 2.26705e9i | −0.854894 | − | 1.48072i | −0.876743 | − | 0.480959i | \(-0.840289\pi\) |
0.0218489 | − | 0.999761i | \(-0.493045\pi\) | |||||||
\(422\) | −9.13036e7 | + | 5.17808e8i | −0.0591418 | + | 0.335410i | ||||
\(423\) | 4.27236e8 | − | 2.42297e9i | 0.274458 | − | 1.55653i | ||||
\(424\) | −8.44169e7 | − | 7.08342e7i | −0.0537835 | − | 0.0451297i | ||||
\(425\) | 1.79889e9 | + | 6.54744e8i | 1.13670 | + | 0.413724i | ||||
\(426\) | 3.90286e9 | + | 1.42052e9i | 2.44596 | + | 0.890256i | ||||
\(427\) | 9.78238e8 | + | 8.20839e8i | 0.608061 | + | 0.510223i | ||||
\(428\) | 2.06242e8 | − | 1.16966e9i | 0.127152 | − | 0.721116i | ||||
\(429\) | 4.00970e8 | − | 2.27401e9i | 0.245195 | − | 1.39057i | ||||
\(430\) | −1.71735e9 | − | 2.97454e9i | −1.04164 | − | 1.80418i | ||||
\(431\) | −1.14251e9 | + | 9.58677e8i | −0.687367 | + | 0.576769i | −0.918149 | − | 0.396236i | \(-0.870316\pi\) |
0.230782 | + | 0.973006i | \(0.425872\pi\) | |||||||
\(432\) | −6.38853e9 | + | 2.32524e9i | −3.81248 | + | 1.38763i | ||||
\(433\) | 1.35439e9 | − | 2.34587e9i | 0.801744 | − | 1.38866i | −0.116723 | − | 0.993164i | \(-0.537239\pi\) |
0.918467 | − | 0.395497i | \(-0.129428\pi\) | |||||||
\(434\) | −1.69694e8 | − | 2.93918e8i | −0.0996440 | − | 0.172589i | ||||
\(435\) | 1.48627e9 | + | 1.24713e9i | 0.865734 | + | 0.726437i | ||||
\(436\) | −7.83791e6 | + | 1.35757e7i | −0.00452895 | + | 0.00784438i | ||||
\(437\) | −3.59984e7 | − | 2.04157e8i | −0.0206347 | − | 0.117025i | ||||
\(438\) | −3.39728e9 | −1.93184 | ||||||||
\(439\) | −9.72046e7 | − | 5.51275e8i | −0.0548354 | − | 0.310987i | 0.945037 | − | 0.326964i | \(-0.106025\pi\) |
−0.999872 | + | 0.0159765i | \(0.994914\pi\) | |||||||
\(440\) | 5.12448e8 | − | 4.29995e8i | 0.286791 | − | 0.240646i | ||||
\(441\) | 2.19491e9 | + | 7.98881e8i | 1.21866 | + | 0.443555i | ||||
\(442\) | 1.37751e9 | − | 5.01374e8i | 0.758783 | − | 0.276175i | ||||
\(443\) | 3.64181e8 | 0.199024 | 0.0995118 | − | 0.995036i | \(-0.468272\pi\) | ||||
0.0995118 | + | 0.995036i | \(0.468272\pi\) | |||||||
\(444\) | −2.85414e9 | − | 2.24863e8i | −1.54752 | − | 0.121921i | ||||
\(445\) | −5.02084e9 | −2.70095 | ||||||||
\(446\) | −3.08667e9 | + | 1.12346e9i | −1.64747 | + | 0.599631i | ||||
\(447\) | −3.24692e9 | − | 1.18178e9i | −1.71948 | − | 0.625838i | ||||
\(448\) | −5.98884e8 | + | 5.02523e8i | −0.314680 | + | 0.264048i | ||||
\(449\) | 2.84628e8 | + | 1.61420e9i | 0.148393 | + | 0.841581i | 0.964580 | + | 0.263792i | \(0.0849733\pi\) |
−0.816186 | + | 0.577789i | \(0.803916\pi\) | |||||||
\(450\) | 1.27156e10 | 6.57800 | ||||||||
\(451\) | 3.53677e8 | + | 2.00580e9i | 0.181547 | + | 1.02961i | ||||
\(452\) | −5.47007e6 | + | 9.47444e6i | −0.00278617 | + | 0.00482580i | ||||
\(453\) | 4.71133e9 | + | 3.95328e9i | 2.38122 | + | 1.99808i | ||||
\(454\) | −2.36608e8 | − | 4.09817e8i | −0.118668 | − | 0.205539i | ||||
\(455\) | −1.06805e9 | + | 1.84992e9i | −0.531560 | + | 0.920688i | ||||
\(456\) | 9.62465e7 | − | 3.50308e7i | 0.0475344 | − | 0.0173011i | ||||
\(457\) | 1.08161e9 | − | 9.07577e8i | 0.530107 | − | 0.444812i | −0.338031 | − | 0.941135i | \(-0.609761\pi\) |
0.868138 | + | 0.496322i | \(0.165317\pi\) | |||||||
\(458\) | −1.31699e9 | − | 2.28110e9i | −0.640552 | − | 1.10947i | ||||
\(459\) | 8.65067e8 | − | 4.90604e9i | 0.417547 | − | 2.36803i | ||||
\(460\) | 5.97168e8 | − | 3.38671e9i | 0.286051 | − | 1.62228i | ||||
\(461\) | 1.10875e8 | + | 9.30350e7i | 0.0527084 | + | 0.0442276i | 0.668761 | − | 0.743477i | \(-0.266825\pi\) |
−0.616053 | + | 0.787705i | \(0.711269\pi\) | |||||||
\(462\) | −3.15420e9 | − | 1.14803e9i | −1.48813 | − | 0.541636i | ||||
\(463\) | −7.41036e8 | − | 2.69715e8i | −0.346981 | − | 0.126291i | 0.162650 | − | 0.986684i | \(-0.447996\pi\) |
−0.509631 | + | 0.860393i | \(0.670218\pi\) | |||||||
\(464\) | 6.69290e8 | + | 5.61601e8i | 0.311030 | + | 0.260985i | ||||
\(465\) | −2.47288e8 | + | 1.40244e9i | −0.114056 | + | 0.646842i | ||||
\(466\) | −2.88053e8 | + | 1.63363e9i | −0.131863 | + | 0.747830i | ||||
\(467\) | 1.15347e9 | + | 1.99787e9i | 0.524080 | + | 0.907734i | 0.999607 | + | 0.0280326i | \(0.00892421\pi\) |
−0.475527 | + | 0.879701i | \(0.657742\pi\) | |||||||
\(468\) | 3.30830e9 | − | 2.77599e9i | 1.49191 | − | 1.25187i | ||||
\(469\) | −8.71885e8 | + | 3.17340e8i | −0.390260 | + | 0.142043i | ||||
\(470\) | −1.41747e9 | + | 2.45513e9i | −0.629755 | + | 1.09077i | ||||
\(471\) | −1.32211e9 | − | 2.28997e9i | −0.583037 | − | 1.00985i | ||||
\(472\) | −6.40322e8 | − | 5.37294e8i | −0.280286 | − | 0.235188i | ||||
\(473\) | 8.92632e8 | − | 1.54608e9i | 0.387845 | − | 0.671767i | ||||
\(474\) | 1.43577e9 | + | 8.14263e9i | 0.619241 | + | 3.51189i | ||||
\(475\) | −3.91737e8 | −0.167713 | ||||||||
\(476\) | −1.64121e8 | − | 9.30777e8i | −0.0697493 | − | 0.395568i | ||||
\(477\) | 1.30878e9 | − | 1.09820e9i | 0.552144 | − | 0.463303i | ||||
\(478\) | −3.25168e9 | − | 1.18352e9i | −1.36179 | − | 0.495652i | ||||
\(479\) | −2.95940e9 | + | 1.07714e9i | −1.23035 | + | 0.447812i | −0.873719 | − | 0.486432i | \(-0.838298\pi\) |
−0.356635 | + | 0.934244i | \(0.616076\pi\) | |||||||
\(480\) | 1.00706e10 | 4.15635 | ||||||||
\(481\) | −2.05755e9 | + | 5.70425e8i | −0.843027 | + | 0.233717i | ||||
\(482\) | 2.54562e9 | 1.03545 | ||||||||
\(483\) | 4.12899e9 | − | 1.50283e9i | 1.66736 | − | 0.606868i | ||||
\(484\) | 5.85080e8 | + | 2.12952e8i | 0.234561 | + | 0.0853733i | ||||
\(485\) | −2.44960e9 | + | 2.05546e9i | −0.974986 | + | 0.818111i | ||||
\(486\) | −2.54152e9 | − | 1.44137e10i | −1.00431 | − | 5.69570i | ||||
\(487\) | 1.22228e9 | 0.479535 | 0.239767 | − | 0.970830i | \(-0.422929\pi\) | ||||
0.239767 | + | 0.970830i | \(0.422929\pi\) | |||||||
\(488\) | −1.31541e8 | − | 7.46004e8i | −0.0512378 | − | 0.290584i | ||||
\(489\) | 2.39563e9 | − | 4.14934e9i | 0.926484 | − | 1.60472i | ||||
\(490\) | −2.06173e9 | − | 1.73000e9i | −0.791672 | − | 0.664292i | ||||
\(491\) | −2.19432e9 | − | 3.80067e9i | −0.836593 | − | 1.44902i | −0.892727 | − | 0.450599i | \(-0.851211\pi\) |
0.0561333 | − | 0.998423i | \(-0.482123\pi\) | |||||||
\(492\) | −2.58657e9 | + | 4.48006e9i | −0.979142 | + | 1.69592i | ||||
\(493\) | −6.01604e8 | + | 2.18966e8i | −0.226124 | + | 0.0823024i | ||||
\(494\) | −2.29794e8 | + | 1.92820e8i | −0.0857619 | + | 0.0719628i | ||||
\(495\) | 5.18564e9 | + | 8.98179e9i | 1.92169 | + | 3.32847i | ||||
\(496\) | −1.11358e8 | + | 6.31541e8i | −0.0409764 | + | 0.232389i | ||||
\(497\) | 3.46785e8 | − | 1.96672e9i | 0.126711 | − | 0.718613i | ||||
\(498\) | −3.91952e9 | − | 3.28887e9i | −1.42210 | − | 1.19329i | ||||
\(499\) | −1.25066e8 | − | 4.55204e7i | −0.0450597 | − | 0.0164004i | 0.319392 | − | 0.947623i | \(-0.396521\pi\) |
−0.364452 | + | 0.931222i | \(0.618744\pi\) | |||||||
\(500\) | −2.63062e9 | − | 9.57468e8i | −0.941159 | − | 0.342554i | ||||
\(501\) | −2.40775e9 | − | 2.02034e9i | −0.855421 | − | 0.717784i | ||||
\(502\) | −5.05372e8 | + | 2.86611e9i | −0.178299 | + | 1.01118i | ||||
\(503\) | −6.78482e8 | + | 3.84786e9i | −0.237712 | + | 1.34813i | 0.599115 | + | 0.800663i | \(0.295519\pi\) |
−0.836827 | + | 0.547467i | \(0.815592\pi\) | |||||||
\(504\) | 7.99292e8 | + | 1.38441e9i | 0.278099 | + | 0.481681i | ||||
\(505\) | 1.57923e9 | − | 1.32513e9i | 0.545666 | − | 0.457868i | ||||
\(506\) | 3.78706e9 | − | 1.37838e9i | 1.29950 | − | 0.472979i | ||||
\(507\) | −6.70616e8 | + | 1.16154e9i | −0.228531 | + | 0.395828i | ||||
\(508\) | 4.63426e8 | + | 8.02677e8i | 0.156840 | + | 0.271655i | ||||
\(509\) | −1.71729e9 | − | 1.44098e9i | −0.577206 | − | 0.484333i | 0.306822 | − | 0.951767i | \(-0.400734\pi\) |
−0.884028 | + | 0.467433i | \(0.845179\pi\) | |||||||
\(510\) | −4.47073e9 | + | 7.74352e9i | −1.49239 | + | 2.58490i | ||||
\(511\) | 2.83658e8 | + | 1.60871e9i | 0.0940421 | + | 0.533339i | ||||
\(512\) | 3.57502e9 | 1.17716 | ||||||||
\(513\) | 1.77021e8 | + | 1.00394e9i | 0.0578914 | + | 0.328318i | ||||
\(514\) | 2.08986e9 | − | 1.75360e9i | 0.678808 | − | 0.569588i | ||||
\(515\) | −6.94750e9 | − | 2.52868e9i | −2.24132 | − | 0.815772i | ||||
\(516\) | 4.26093e9 | − | 1.55085e9i | 1.36531 | − | 0.496931i | ||||
\(517\) | −1.47353e9 | −0.468966 | ||||||||
\(518\) | 2.97228e8 | + | 3.08951e9i | 0.0939584 | + | 0.976642i | ||||
\(519\) | −2.78353e9 | −0.873996 | ||||||||
\(520\) | 1.19071e9 | − | 4.33384e8i | 0.371360 | − | 0.135164i | ||||
\(521\) | −1.23325e9 | − | 4.48867e8i | −0.382050 | − | 0.139055i | 0.143854 | − | 0.989599i | \(-0.454050\pi\) |
−0.525903 | + | 0.850544i | \(0.676273\pi\) | |||||||
\(522\) | −3.25759e9 | + | 2.73344e9i | −1.00242 | + | 0.841130i | ||||
\(523\) | 8.95395e8 | + | 5.07804e9i | 0.273690 | + | 1.55217i | 0.743093 | + | 0.669188i | \(0.233358\pi\) |
−0.469403 | + | 0.882984i | \(0.655531\pi\) | |||||||
\(524\) | −3.90557e9 | −1.18584 | ||||||||
\(525\) | −1.44181e9 | − | 8.17693e9i | −0.434862 | − | 2.46623i | ||||
\(526\) | −1.56750e9 | + | 2.71500e9i | −0.469633 | + | 0.813428i | ||||
\(527\) | −3.59971e8 | − | 3.02052e8i | −0.107135 | − | 0.0898968i | ||||
\(528\) | 3.17123e9 | + | 5.49273e9i | 0.937581 | + | 1.62394i | ||||
\(529\) | −9.35385e8 | + | 1.62013e9i | −0.274723 | + | 0.475835i | ||||
\(530\) | −1.84989e9 | + | 6.73304e8i | −0.539734 | + | 0.196447i | ||||
\(531\) | 9.92739e9 | − | 8.33007e9i | 2.87743 | − | 2.41445i | ||||
\(532\) | 9.67028e7 | + | 1.67494e8i | 0.0278451 | + | 0.0482291i | ||||
\(533\) | −6.69936e8 | + | 3.79940e9i | −0.191641 | + | 1.08685i | ||||
\(534\) | 2.59510e9 | − | 1.47175e10i | 0.737495 | − | 4.18254i | ||||
\(535\) | 4.13874e9 | + | 3.47282e9i | 1.16850 | + | 0.980491i | ||||
\(536\) | 5.17200e8 | + | 1.88245e8i | 0.145071 | + | 0.0528017i | ||||
\(537\) | 1.62713e9 | + | 5.92227e8i | 0.453432 | + | 0.165036i | ||||
\(538\) | 4.30506e9 | + | 3.61237e9i | 1.19190 | + | 1.00013i | ||||
\(539\) | 2.42919e8 | − | 1.37766e9i | 0.0668191 | − | 0.378950i | ||||
\(540\) | −2.93655e9 | + | 1.66540e10i | −0.802526 | + | 4.55135i | ||||
\(541\) | −1.00297e8 | − | 1.73720e8i | −0.0272332 | − | 0.0471693i | 0.852088 | − | 0.523399i | \(-0.175336\pi\) |
−0.879321 | + | 0.476230i | \(0.842003\pi\) | |||||||
\(542\) | 6.64547e9 | − | 5.57621e9i | 1.79278 | − | 1.50433i | ||||
\(543\) | −6.52387e9 | + | 2.37449e9i | −1.74866 | + | 0.636461i | ||||
\(544\) | −1.66153e9 | + | 2.87786e9i | −0.442499 | + | 0.766431i | ||||
\(545\) | −3.56540e7 | − | 6.17545e7i | −0.00943453 | − | 0.0163411i | ||||
\(546\) | −4.87060e9 | − | 4.08692e9i | −1.28059 | − | 1.07454i | ||||
\(547\) | 2.91228e9 | − | 5.04422e9i | 0.760813 | − | 1.31777i | −0.181618 | − | 0.983369i | \(-0.558134\pi\) |
0.942432 | − | 0.334398i | \(-0.108533\pi\) | |||||||
\(548\) | 3.23382e7 | + | 1.83399e8i | 0.00839428 | + | 0.0476063i | ||||
\(549\) | 1.17443e10 | 3.02917 | ||||||||
\(550\) | −1.32242e9 | − | 7.49980e9i | −0.338921 | − | 1.92212i | ||||
\(551\) | 1.00358e8 | − | 8.42107e7i | 0.0255578 | − | 0.0214455i | ||||
\(552\) | −2.44931e9 | − | 8.91474e8i | −0.619806 | − | 0.225591i | ||||
\(553\) | 3.73588e9 | − | 1.35975e9i | 0.939410 | − | 0.341917i | ||||
\(554\) | 6.56497e9 | 1.64040 | ||||||||
\(555\) | 7.37747e9 | − | 1.07324e10i | 1.83182 | − | 2.66484i | ||||
\(556\) | 2.94709e9 | 0.727163 | ||||||||
\(557\) | −6.21197e9 | + | 2.26097e9i | −1.52313 | + | 0.554373i | −0.961927 | − | 0.273307i | \(-0.911883\pi\) |
−0.561201 | + | 0.827680i | \(0.689660\pi\) | |||||||
\(558\) | −2.93304e9 | − | 1.06754e9i | −0.714657 | − | 0.260114i | ||||
\(559\) | 2.59049e9 | − | 2.17368e9i | 0.627250 | − | 0.526325i | ||||
\(560\) | −1.01884e9 | − | 5.77815e9i | −0.245160 | − | 1.39037i | ||||
\(561\) | −4.64752e9 | −1.11135 | ||||||||
\(562\) | −5.88278e8 | − | 3.33629e9i | −0.139799 | − | 0.792841i | ||||
\(563\) | 8.43436e6 | − | 1.46087e7i | 0.00199192 | − | 0.00345012i | −0.865028 | − | 0.501724i | \(-0.832699\pi\) |
0.867020 | + | 0.498274i | \(0.166033\pi\) | |||||||
\(564\) | −2.86700e9 | − | 2.40570e9i | −0.672902 | − | 0.564632i | ||||
\(565\) | −2.48829e7 | − | 4.30984e7i | −0.00580405 | − | 0.0100529i | ||||
\(566\) | −1.87976e9 | + | 3.25584e9i | −0.435758 | + | 0.754755i | ||||
\(567\) | −1.19660e10 | + | 4.35525e9i | −2.75681 | + | 1.00340i | ||||
\(568\) | −9.07495e8 | + | 7.61479e8i | −0.207790 | + | 0.174357i | ||||
\(569\) | −3.14445e9 | − | 5.44634e9i | −0.715569 | − | 1.23940i | −0.962740 | − | 0.270430i | \(-0.912834\pi\) |
0.247171 | − | 0.968972i | \(-0.420499\pi\) | |||||||
\(570\) | 3.17726e8 | − | 1.80191e9i | 0.0718606 | − | 0.407542i | ||||
\(571\) | −8.08034e8 | + | 4.58259e9i | −0.181637 | + | 1.03011i | 0.748565 | + | 0.663062i | \(0.230743\pi\) |
−0.930201 | + | 0.367050i | \(0.880368\pi\) | |||||||
\(572\) | −1.98137e9 | − | 1.66257e9i | −0.442669 | − | 0.371443i | ||||
\(573\) | −6.28200e9 | − | 2.28646e9i | −1.39494 | − | 0.507718i | ||||
\(574\) | 5.26999e9 | + | 1.91812e9i | 1.16310 | + | 0.423335i | ||||
\(575\) | 7.63672e9 | + | 6.40797e9i | 1.67521 | + | 1.40567i | ||||
\(576\) | −1.24852e9 | + | 7.08070e9i | −0.272218 | + | 1.54382i | ||||
\(577\) | −9.91407e8 | + | 5.62255e9i | −0.214851 | + | 1.21848i | 0.666315 | + | 0.745671i | \(0.267871\pi\) |
−0.881165 | + | 0.472808i | \(0.843240\pi\) | |||||||
\(578\) | 1.63646e9 | + | 2.83444e9i | 0.352499 | + | 0.610547i | ||||
\(579\) | −7.12940e9 | + | 5.98228e9i | −1.52643 | + | 1.28083i | ||||
\(580\) | 2.04220e9 | − | 7.43300e8i | 0.434611 | − | 0.158185i | ||||
\(581\) | −1.23011e9 | + | 2.13061e9i | −0.260212 | + | 0.450700i | ||||
\(582\) | −4.75902e9 | − | 8.24287e9i | −1.00066 | − | 1.73320i | ||||
\(583\) | −7.83839e8 | − | 6.57719e8i | −0.163828 | − | 0.137468i | ||||
\(584\) | 4.84501e8 | − | 8.39180e8i | 0.100658 | − | 0.174345i | ||||
\(585\) | 3.41137e9 | + | 1.93468e10i | 0.704503 | + | 3.99544i | ||||
\(586\) | −2.05027e9 | −0.420891 | ||||||||
\(587\) | 1.20865e9 | + | 6.85457e9i | 0.246641 | + | 1.39877i | 0.816650 | + | 0.577133i | \(0.195829\pi\) |
−0.570009 | + | 0.821639i | \(0.693060\pi\) | |||||||
\(588\) | 2.72183e9 | − | 2.28389e9i | 0.552129 | − | 0.463292i | ||||
\(589\) | 9.03597e7 | + | 3.28882e7i | 0.0182210 | + | 0.00663189i | ||||
\(590\) | −1.40318e10 | + | 5.10716e9i | −2.81275 | + | 1.02376i | ||||
\(591\) | 8.33840e9 | 1.66160 | ||||||||
\(592\) | 3.32219e9 | − | 4.83296e9i | 0.658111 | − | 0.957387i | ||||
\(593\) | 4.02753e8 | 0.0793135 | 0.0396567 | − | 0.999213i | \(-0.487374\pi\) | ||||
0.0396567 | + | 0.999213i | \(0.487374\pi\) | |||||||
\(594\) | −1.86227e10 | + | 6.77813e9i | −3.64579 | + | 1.32696i | ||||
\(595\) | 4.04006e9 | + | 1.47046e9i | 0.786282 | + | 0.286183i | ||||
\(596\) | −2.96490e9 | + | 2.48785e9i | −0.573651 | + | 0.481351i | ||||
\(597\) | 5.06015e8 | + | 2.86975e9i | 0.0973314 | + | 0.551994i | ||||
\(598\) | 7.63384e9 | 1.45978 | ||||||||
\(599\) | 5.65967e8 | + | 3.20976e9i | 0.107596 | + | 0.610209i | 0.990152 | + | 0.140000i | \(0.0447103\pi\) |
−0.882555 | + | 0.470209i | \(0.844179\pi\) | |||||||
\(600\) | −2.46268e9 | + | 4.26549e9i | −0.465456 | + | 0.806194i | ||||
\(601\) | 4.08352e9 | + | 3.42648e9i | 0.767316 | + | 0.643854i | 0.940020 | − | 0.341120i | \(-0.110806\pi\) |
−0.172704 | + | 0.984974i | \(0.555251\pi\) | |||||||
\(602\) | −2.45787e9 | − | 4.25716e9i | −0.459168 | − | 0.795302i | ||||
\(603\) | −4.26658e9 | + | 7.38993e9i | −0.792445 | + | 1.37255i | ||||
\(604\) | 6.47359e9 | − | 2.35619e9i | 1.19541 | − | 0.435093i | ||||
\(605\) | −2.16966e9 | + | 1.82056e9i | −0.398334 | + | 0.334242i | ||||
\(606\) | 3.06810e9 | + | 5.31410e9i | 0.560035 | + | 0.970009i | ||||
\(607\) | 8.96393e7 | − | 5.08370e8i | 0.0162681 | − | 0.0922612i | −0.975593 | − | 0.219588i | \(-0.929529\pi\) |
0.991861 | + | 0.127327i | \(0.0406397\pi\) | |||||||
\(608\) | 1.18082e8 | − | 6.69676e8i | 0.0213069 | − | 0.120838i | ||||
\(609\) | 2.12715e9 | + | 1.78489e9i | 0.381625 | + | 0.320222i | ||||
\(610\) | −1.27163e10 | − | 4.62834e9i | −2.26832 | − | 0.825603i | ||||
\(611\) | −2.62283e9 | − | 9.54632e8i | −0.465185 | − | 0.169313i | ||||
\(612\) | −6.65862e9 | − | 5.58725e9i | −1.17423 | − | 0.985299i | ||||
\(613\) | 2.12050e7 | − | 1.20259e8i | 0.00371815 | − | 0.0210867i | −0.982892 | − | 0.184182i | \(-0.941037\pi\) |
0.986610 | + | 0.163095i | \(0.0521477\pi\) | |||||||
\(614\) | 1.89492e9 | − | 1.07466e10i | 0.330371 | − | 1.87363i | ||||
\(615\) | −1.17661e10 | − | 2.03794e10i | −2.03971 | − | 3.53288i | ||||
\(616\) | 7.33416e8 | − | 6.15409e8i | 0.126421 | − | 0.106079i | ||||
\(617\) | −6.58483e7 | + | 2.39668e7i | −0.0112862 | + | 0.00410783i | −0.347657 | − | 0.937622i | \(-0.613023\pi\) |
0.336371 | + | 0.941730i | \(0.390800\pi\) | |||||||
\(618\) | 1.10032e10 | − | 1.90581e10i | 1.87525 | − | 3.24803i | ||||
\(619\) | 3.45833e9 | + | 5.99000e9i | 0.586069 | + | 1.01510i | 0.994741 | + | 0.102420i | \(0.0326587\pi\) |
−0.408672 | + | 0.912681i | \(0.634008\pi\) | |||||||
\(620\) | 1.22196e9 | + | 1.02534e9i | 0.205914 | + | 0.172782i | ||||
\(621\) | 1.29713e10 | − | 2.24669e10i | 2.17351 | − | 3.76463i | ||||
\(622\) | −5.47255e8 | − | 3.10364e9i | −0.0911850 | − | 0.517136i | ||||
\(623\) | −7.18584e9 | −1.19061 | ||||||||
\(624\) | 2.08619e9 | + | 1.18314e10i | 0.343722 | + | 1.94935i | ||||
\(625\) | 1.54103e9 | − | 1.29308e9i | 0.252483 | − | 0.211859i | ||||
\(626\) | 9.47401e9 | + | 3.44826e9i | 1.54356 | + | 0.561810i | ||||
\(627\) | 8.93681e8 | − | 3.25273e8i | 0.144792 | − | 0.0527001i | ||||
\(628\) | −2.96189e9 | −0.477210 | ||||||||
\(629\) | 1.84977e9 | + | 3.87895e9i | 0.296374 | + | 0.621494i | ||||
\(630\) | 2.85575e10 | 4.55017 | ||||||||
\(631\) | 4.87439e9 | − | 1.77413e9i | 0.772356 | − | 0.281115i | 0.0743745 | − | 0.997230i | \(-0.476304\pi\) |
0.697981 | + | 0.716116i | \(0.254082\pi\) | |||||||
\(632\) | −2.21612e9 | − | 8.06601e8i | −0.349207 | − | 0.127101i | ||||
\(633\) | 2.41885e9 | − | 2.02966e9i | 0.379050 | − | 0.318061i | ||||
\(634\) | 2.66079e9 | + | 1.50901e10i | 0.414666 | + | 2.35169i | ||||
\(635\) | −4.21617e9 | −0.653446 | ||||||||
\(636\) | −4.51294e8 | − | 2.55942e9i | −0.0695600 | − | 0.394494i | ||||
\(637\) | 1.32491e9 | − | 2.29482e9i | 0.203095 | − | 0.351771i | ||||
\(638\) | 1.95100e9 | + | 1.63708e9i | 0.297430 | + | 0.249573i | ||||
\(639\) | −9.18326e9 | − | 1.59059e10i | −1.39234 | − | 2.41160i | ||||
\(640\) | −2.93414e9 | + | 5.08207e9i | −0.442436 | + | 0.766322i | ||||
\(641\) | −1.02934e10 | + | 3.74650e9i | −1.54368 | + | 0.561852i | −0.966924 | − | 0.255066i | \(-0.917903\pi\) |
−0.576753 | + | 0.816918i | \(0.695681\pi\) | |||||||
\(642\) | −1.23190e10 | + | 1.03369e10i | −1.83740 | + | 1.54176i | ||||
\(643\) | −2.01116e9 | − | 3.48343e9i | −0.298338 | − | 0.516736i | 0.677418 | − | 0.735598i | \(-0.263099\pi\) |
−0.975756 | + | 0.218862i | \(0.929766\pi\) | |||||||
\(644\) | 8.54668e8 | − | 4.84706e9i | 0.126095 | − | 0.715118i | ||||
\(645\) | −3.58176e9 | + | 2.03132e10i | −0.525578 | + | 2.98070i | ||||
\(646\) | 4.62507e8 | + | 3.88090e8i | 0.0675001 | + | 0.0566393i | ||||
\(647\) | 6.31871e9 | + | 2.29982e9i | 0.917198 | + | 0.333833i | 0.757123 | − | 0.653272i | \(-0.226604\pi\) |
0.160075 | + | 0.987105i | \(0.448826\pi\) | |||||||
\(648\) | 7.09818e9 | + | 2.58353e9i | 1.02479 | + | 0.372993i | ||||
\(649\) | −5.94560e9 | − | 4.98895e9i | −0.853767 | − | 0.716395i | ||||
\(650\) | 2.50492e9 | − | 1.42061e10i | 0.357765 | − | 2.02898i | ||||
\(651\) | −3.53919e8 | + | 2.00717e9i | −0.0502771 | + | 0.285135i | ||||
\(652\) | −2.68342e9 | − | 4.64782e9i | −0.379159 | − | 0.656723i | ||||
\(653\) | 3.05997e9 | − | 2.56762e9i | 0.430052 | − | 0.360857i | −0.401919 | − | 0.915675i | \(-0.631657\pi\) |
0.831971 | + | 0.554818i | \(0.187212\pi\) | |||||||
\(654\) | 1.99449e8 | − | 7.25934e7i | 0.0278810 | − | 0.0101479i | ||||
\(655\) | 8.88305e9 | − | 1.53859e10i | 1.23514 | − | 2.13933i | ||||
\(656\) | −5.29845e9 | − | 9.17718e9i | −0.732800 | − | 1.26925i | ||||
\(657\) | 1.15084e10 | + | 9.65671e9i | 1.58320 | + | 1.32847i | ||||
\(658\) | −2.02869e9 | + | 3.51379e9i | −0.277603 | + | 0.480823i | ||||
\(659\) | −1.84828e9 | − | 1.04821e10i | −0.251576 | − | 1.42676i | −0.804710 | − | 0.593668i | \(-0.797679\pi\) |
0.553134 | − | 0.833092i | \(-0.313432\pi\) | |||||||
\(660\) | 1.57765e10 | 2.13602 | ||||||||
\(661\) | −6.17056e8 | − | 3.49950e9i | −0.0831036 | − | 0.471304i | −0.997750 | − | 0.0670485i | \(-0.978642\pi\) |
0.914646 | − | 0.404255i | \(-0.132469\pi\) | |||||||
\(662\) | 5.82041e9 | − | 4.88390e9i | 0.779741 | − | 0.654281i | ||||
\(663\) | −8.27244e9 | − | 3.01092e9i | −1.10239 | − | 0.401238i | ||||
\(664\) | 1.37138e9 | − | 4.99142e8i | 0.181790 | − | 0.0661662i | ||||
\(665\) | −8.79785e8 | −0.116011 | ||||||||
\(666\) | 2.03579e10 | + | 2.00090e10i | 2.67038 | + | 2.62461i | ||||
\(667\) | −3.33394e9 | −0.435028 | ||||||||
\(668\) | −3.30836e9 | + | 1.20415e9i | −0.429433 | + | 0.156301i | ||||
\(669\) | 1.85365e10 | + | 6.74674e9i | 2.39352 | + | 0.871170i | ||||
\(670\) | 7.53201e9 | − | 6.32010e9i | 0.967495 | − | 0.811825i | ||||
\(671\) | −1.22140e9 | − | 6.92690e9i | −0.156073 | − | 0.885136i | ||||
\(672\) | 1.44131e10 | 1.83217 | ||||||||
\(673\) | −1.53332e9 | − | 8.69589e9i | −0.193901 | − | 1.09967i | −0.913975 | − | 0.405770i | \(-0.867003\pi\) |
0.720074 | − | 0.693897i | \(-0.244108\pi\) | |||||||
\(674\) | −8.02598e9 | + | 1.39014e10i | −1.00969 | + | 1.74884i | ||||
\(675\) | −3.75533e10 | − | 3.15109e10i | −4.69986 | − | 3.94365i | ||||
\(676\) | 7.51179e8 | + | 1.30108e9i | 0.0935254 | + | 0.161991i | ||||
\(677\) | 3.25029e9 | − | 5.62966e9i | 0.402588 | − | 0.697304i | −0.591449 | − | 0.806342i | \(-0.701444\pi\) |
0.994038 | + | 0.109039i | \(0.0347772\pi\) | |||||||
\(678\) | 1.39195e8 | − | 5.06628e7i | 0.0171522 | − | 0.00624288i | ||||
\(679\) | −3.50587e9 | + | 2.94177e9i | −0.429785 | + | 0.360632i | ||||
\(680\) | −1.27518e9 | − | 2.20868e9i | −0.155521 | − | 0.269371i | ||||
\(681\) | −4.93477e8 | + | 2.79865e9i | −0.0598759 | + | 0.339573i | ||||
\(682\) | −3.24611e8 | + | 1.84096e9i | −0.0391848 | + | 0.222228i | ||||
\(683\) | 1.06946e10 | + | 8.97385e9i | 1.28438 | + | 1.07772i | 0.992625 | + | 0.121228i | \(0.0386831\pi\) |
0.291753 | + | 0.956494i | \(0.405761\pi\) | |||||||
\(684\) | 1.67144e9 | + | 6.08355e8i | 0.199708 | + | 0.0726876i | ||||
\(685\) | −7.96047e8 | − | 2.89737e8i | −0.0946284 | − | 0.0344419i | ||||
\(686\) | −9.30588e9 | − | 7.80856e9i | −1.10058 | − | 0.923499i | ||||
\(687\) | −2.74677e9 | + | 1.55777e10i | −0.323201 | + | 1.83297i | ||||
\(688\) | −1.61292e9 | + | 9.14735e9i | −0.188823 | + | 1.07087i | ||||
\(689\) | −9.69101e8 | − | 1.67853e9i | −0.112876 | − | 0.195507i | ||||
\(690\) | −3.56693e10 | + | 2.99301e10i | −4.13355 | + | 3.46846i | ||||
\(691\) | 4.36281e9 | − | 1.58793e9i | 0.503029 | − | 0.183088i | −0.0780269 | − | 0.996951i | \(-0.524862\pi\) |
0.581056 | + | 0.813864i | \(0.302640\pi\) | |||||||
\(692\) | −1.55896e9 | + | 2.70020e9i | −0.178840 | + | 0.309759i | ||||
\(693\) | 7.42170e9 | + | 1.28548e10i | 0.847104 | + | 1.46723i | ||||
\(694\) | 1.63390e10 | + | 1.37100e10i | 1.85552 | + | 1.55697i | ||||
\(695\) | −6.70303e9 | + | 1.16100e10i | −0.757399 | + | 1.31185i | ||||
\(696\) | −2.86031e8 | − | 1.62216e9i | −0.0321574 | − | 0.182374i | ||||
\(697\) | 7.76503e9 | 0.868617 | ||||||||
\(698\) | 9.56753e8 | + | 5.42601e9i | 0.106489 | + | 0.603931i | ||||
\(699\) | 7.63121e9 | − | 6.40335e9i | 0.845130 | − | 0.709148i | ||||
\(700\) | −8.73965e9 | − | 3.18097e9i | −0.963055 | − | 0.350523i | ||||
\(701\) | −8.99793e9 | + | 3.27498e9i | −0.986574 | + | 0.359084i | −0.784393 | − | 0.620264i | \(-0.787025\pi\) |
−0.202181 | + | 0.979348i | \(0.564803\pi\) | |||||||
\(702\) | −3.75391e10 | −4.09547 | ||||||||
\(703\) | −6.27177e8 | − | 6.16427e8i | −0.0680843 | − | 0.0669173i | ||||
\(704\) | 4.30612e9 | 0.465138 | ||||||||
\(705\) | 1.59981e10 | − | 5.82283e9i | 1.71952 | − | 0.625852i | ||||
\(706\) | −1.76365e9 | − | 6.41918e8i | −0.188624 | − | 0.0686535i | ||||
\(707\) | 2.26020e9 | − | 1.89653e9i | 0.240536 | − | 0.201833i | ||||
\(708\) | −3.42317e9 | − | 1.94138e10i | −0.362503 | − | 2.05586i | ||||
\(709\) | −1.52325e10 | −1.60512 | −0.802561 | − | 0.596570i | \(-0.796530\pi\) | ||||
−0.802561 | + | 0.596570i | \(0.796530\pi\) | |||||||
\(710\) | 3.67489e9 | + | 2.08413e10i | 0.385336 | + | 2.18535i | ||||
\(711\) | 1.82816e10 | − | 3.16646e10i | 1.90752 | − | 3.30393i | ||||
\(712\) | 3.26536e9 | + | 2.73996e9i | 0.339040 | + | 0.284488i | ||||
\(713\) | −1.22354e9 | − | 2.11923e9i | −0.126416 | − | 0.218960i | ||||
\(714\) | −6.39851e9 | + | 1.10825e10i | −0.657862 | + | 1.13945i | ||||
\(715\) | 1.10562e10 | − | 4.02412e9i | 1.13119 | − | 0.411718i | ||||
\(716\) | 1.48580e9 | − | 1.24673e9i | 0.151274 | − | 0.126934i | ||||
\(717\) | 1.03903e10 | + | 1.79966e10i | 1.05272 | + | 1.82337i | ||||
\(718\) | −1.00063e9 | + | 5.67486e9i | −0.100888 | + | 0.572163i | ||||
\(719\) | −2.25682e9 | + | 1.27991e10i | −0.226436 | + | 1.28418i | 0.633484 | + | 0.773756i | \(0.281624\pi\) |
−0.859920 | + | 0.510428i | \(0.829487\pi\) | |||||||
\(720\) | −4.13359e10 | − | 3.46850e10i | −4.12728 | − | 3.46320i | ||||
\(721\) | −9.94327e9 | − | 3.61905e9i | −0.987997 | − | 0.359602i | ||||
\(722\) | 1.26232e10 | + | 4.59447e9i | 1.24821 | + | 0.454313i | ||||
\(723\) | −1.17108e10 | − | 9.82651e9i | −1.15240 | − | 0.966975i | ||||
\(724\) | −1.35039e9 | + | 7.65844e9i | −0.132243 | + | 0.749989i | ||||
\(725\) | −1.09398e9 | + | 6.20427e9i | −0.106617 | + | 0.604655i | ||||
\(726\) | −4.21516e9 | − | 7.30087e9i | −0.408823 | − | 0.708103i | ||||
\(727\) | 1.38329e10 | − | 1.16072e10i | 1.33519 | − | 1.12036i | 0.352352 | − | 0.935867i | \(-0.385382\pi\) |
0.982835 | − | 0.184488i | \(-0.0590626\pi\) | |||||||
\(728\) | 1.70415e9 | − | 6.20260e8i | 0.163700 | − | 0.0595819i | ||||
\(729\) | −2.29828e10 | + | 3.98074e10i | −2.19713 | + | 3.80555i | ||||
\(730\) | −8.65523e9 | − | 1.49913e10i | −0.823471 | − | 1.42629i | ||||
\(731\) | −5.21389e9 | − | 4.37497e9i | −0.493686 | − | 0.414252i | ||||
\(732\) | 8.93252e9 | − | 1.54716e10i | 0.841754 | − | 1.45796i | ||||
\(733\) | −1.56392e9 | − | 8.86942e9i | −0.146673 | − | 0.831823i | −0.966009 | − | 0.258509i | \(-0.916769\pi\) |
0.819336 | − | 0.573314i | \(-0.194342\pi\) | |||||||
\(734\) | 1.33350e10 | 1.24468 | ||||||||
\(735\) | 2.80663e9 | + | 1.59172e10i | 0.260723 | + | 1.47864i | ||||
\(736\) | −1.32564e10 | + | 1.11234e10i | −1.22561 | + | 1.02841i | ||||
\(737\) | 4.80238e9 | + | 1.74792e9i | 0.441896 | + | 0.160837i | ||||
\(738\) | 4.84670e10 | − | 1.76406e10i | 4.43863 | − | 1.61553i | ||||
\(739\) | −4.26332e9 | −0.388591 | −0.194295 | − | 0.980943i | \(-0.562242\pi\) | ||||
−0.194295 | + | 0.980943i | \(0.562242\pi\) | |||||||
\(740\) | −6.27922e9 | − | 1.31675e10i | −0.569632 | − | 1.19451i | ||||
\(741\) | 1.80145e9 | 0.162652 | ||||||||
\(742\) | −2.64756e9 | + | 9.63633e8i | −0.237921 | + | 0.0865961i | ||||
\(743\) | 1.32875e8 | + | 4.83625e7i | 0.0118845 | + | 0.00432562i | 0.347956 | − | 0.937511i | \(-0.386876\pi\) |
−0.336071 | + | 0.941837i | \(0.609098\pi\) | |||||||
\(744\) | 9.26161e8 | − | 7.77142e8i | 0.0824482 | − | 0.0691823i | ||||
\(745\) | −3.05727e9 | − | 1.73386e10i | −0.270886 | − | 1.53627i | ||||
\(746\) | 4.24603e9 | 0.374453 | ||||||||
\(747\) | 3.92898e9 | + | 2.22824e10i | 0.344872 | + | 1.95587i | ||||
\(748\) | −2.60292e9 | + | 4.50839e9i | −0.227408 | + | 0.393882i | ||||
\(749\) | 5.92337e9 | + | 4.97030e9i | 0.515090 | + | 0.432211i | ||||
\(750\) | 1.89521e10 | + | 3.28260e10i | 1.64037 | + | 2.84121i | ||||
\(751\) | −2.11258e8 | + | 3.65909e8i | −0.0182001 | + | 0.0315235i | −0.874982 | − | 0.484155i | \(-0.839127\pi\) |
0.856782 | + | 0.515679i | \(0.172460\pi\) | |||||||
\(752\) | 7.20420e9 | − | 2.62211e9i | 0.617765 | − | 0.224848i | ||||
\(753\) | 1.33885e10 | − | 1.12343e10i | 1.14275 | − | 0.958879i | ||||
\(754\) | 2.41212e9 | + | 4.17792e9i | 0.204927 | + | 0.354944i | ||||
\(755\) | −5.44173e9 | + | 3.08616e10i | −0.460175 | + | 2.60978i | ||||
\(756\) | −4.20280e9 | + | 2.38352e10i | −0.353763 | + | 2.00629i | ||||
\(757\) | −5.36592e9 | − | 4.50255e9i | −0.449582 | − | 0.377244i | 0.389699 | − | 0.920942i | \(-0.372579\pi\) |
−0.839281 | + | 0.543698i | \(0.817024\pi\) | |||||||
\(758\) | −1.77895e9 | − | 6.47483e8i | −0.148361 | − | 0.0539991i | ||||
\(759\) | −2.27426e10 | − | 8.27764e9i | −1.88797 | − | 0.687164i | ||||
\(760\) | 3.99788e8 | + | 3.35462e8i | 0.0330356 | + | 0.0277202i | ||||
\(761\) | 3.36780e9 | − | 1.90997e10i | 0.277012 | − | 1.57102i | −0.455483 | − | 0.890244i | \(-0.650534\pi\) |
0.732496 | − | 0.680772i | \(-0.238355\pi\) | |||||||
\(762\) | 2.17919e9 | − | 1.23588e10i | 0.178424 | − | 1.01189i | ||||
\(763\) | −5.10281e7 | − | 8.83832e7i | −0.00415885 | − | 0.00720334i | ||||
\(764\) | −5.73635e9 | + | 4.81337e9i | −0.465381 | + | 0.390501i | ||||
\(765\) | 3.71556e10 | − | 1.35235e10i | 3.00061 | − | 1.09213i | ||||
\(766\) | −3.92737e9 | + | 6.80240e9i | −0.315719 | + | 0.546842i | ||||
\(767\) | −7.35085e9 | − | 1.27320e10i | −0.588239 | − | 1.01886i | ||||
\(768\) | −2.38922e10 | − | 2.00479e10i | −1.90323 | − | 1.59700i | ||||
\(769\) | 1.84184e9 | − | 3.19016e9i | 0.146053 | − | 0.252971i | −0.783713 | − | 0.621124i | \(-0.786676\pi\) |
0.929765 | + | 0.368153i | \(0.120010\pi\) | |||||||
\(770\) | −2.96996e9 | − | 1.68435e10i | −0.234441 | − | 1.32958i | ||||
\(771\) | −1.63833e10 | −1.28739 | ||||||||
\(772\) | 1.81025e9 | + | 1.02664e10i | 0.141605 | + | 0.803081i | ||||
\(773\) | −2.77756e9 | + | 2.33065e9i | −0.216289 | + | 0.181488i | −0.744495 | − | 0.667628i | \(-0.767310\pi\) |
0.528206 | + | 0.849117i | \(0.322865\pi\) | |||||||
\(774\) | −4.24826e10 | − | 1.54624e10i | −3.29320 | − | 1.19863i | ||||
\(775\) | −4.34524e9 | + | 1.58154e9i | −0.335319 | + | 0.122046i | ||||
\(776\) | 2.71482e9 | 0.208557 | ||||||||
\(777\) | 1.05586e10 | − | 1.53602e10i | 0.807485 | − | 1.17469i | ||||
\(778\) | −1.22063e10 | −0.929298 | ||||||||
\(779\) | −1.49315e9 | + | 5.43462e8i | −0.113168 | + | 0.0411897i | ||||
\(780\) | 2.80816e10 | + | 1.02209e10i | 2.11880 | + | 0.771180i | ||||
\(781\) | −8.42639e9 | + | 7.07058e9i | −0.632941 | + | 0.531100i | ||||
\(782\) | −2.66804e9 | − | 1.51312e10i | −0.199512 | − | 1.13149i | ||||
\(783\) | 1.63945e10 | 1.22049 | ||||||||
\(784\) | 1.26387e9 | + | 7.16777e9i | 0.0936692 | + | 0.531224i | ||||
\(785\) | 6.73669e9 | − | 1.16683e10i | 0.497053 | − | 0.860921i | ||||
\(786\) | 4.05091e10 | + | 3.39912e10i | 2.97560 | + | 2.49682i | ||||
\(787\) | 1.08835e10 | + | 1.88508e10i | 0.795896 | + | 1.37853i | 0.922268 | + | 0.386550i | \(0.126333\pi\) |
−0.126372 | + | 0.991983i | \(0.540333\pi\) | |||||||
\(788\) | 4.67006e9 | − | 8.08878e9i | 0.340001 | − | 0.588900i | ||||
\(789\) | 1.76914e10 | − | 6.43914e9i | 1.28231 | − | 0.466722i | ||||
\(790\) | −3.22734e10 | + | 2.70806e10i | −2.32889 | + | 1.95417i | ||||
\(791\) | −3.56124e7 | − | 6.16825e7i | −0.00255849 | − | 0.00443143i | ||||
\(792\) | 1.52898e9 | − | 8.67130e9i | 0.109362 | − | 0.620220i | ||||
\(793\) | 2.31358e9 | − | 1.31209e10i | 0.164751 | − | 0.934348i | ||||
\(794\) | −2.09408e10 | − | 1.75714e10i | −1.48464 | − | 1.24576i | ||||
\(795\) | 1.11092e10 | + | 4.04342e9i | 0.784148 | + | 0.285406i | ||||
\(796\) | 3.06724e9 | + | 1.11639e9i | 0.215552 | + | 0.0784546i | ||||
\(797\) | 2.13343e10 | + | 1.79016e10i | 1.49271 | + | 1.25253i | 0.891157 | + | 0.453696i | \(0.149895\pi\) |
0.601551 | + | 0.798835i | \(0.294550\pi\) | |||||||
\(798\) | 4.54730e8 | − | 2.57890e9i | 0.0316770 | − | 0.179649i | ||||
\(799\) | −9.75516e8 | + | 5.53242e9i | −0.0676582 | + | 0.383709i | ||||
\(800\) | 1.63502e10 | + | 2.83194e10i | 1.12904 | + | 1.95555i | ||||
\(801\) | −5.06253e10 | + | 4.24797e10i | −3.48060 | + | 2.92057i | ||||
\(802\) | −2.22782e10 | + | 8.10861e9i | −1.52500 | + | 0.555055i | ||||
\(803\) | 4.49875e9 | − | 7.79207e9i | 0.306611 | − | 0.531066i | ||||
\(804\) | 6.49018e9 | + | 1.12413e10i | 0.440413 | + | 0.762818i | ||||
\(805\) | 1.71510e10 | + | 1.43914e10i | 1.15879 | + | 0.972337i | ||||
\(806\) | −1.77047e9 | + | 3.06654e9i | −0.119101 | + | 0.206289i | ||||
\(807\) | −5.86048e9 | − | 3.32364e10i | −0.392532 | − | 2.22616i | ||||
\(808\) | −1.75022e9 | −0.116722 | ||||||||
\(809\) | −2.28624e9 | − | 1.29659e10i | −0.151810 | − | 0.860959i | −0.961644 | − | 0.274300i | \(-0.911554\pi\) |
0.809834 | − | 0.586659i | \(-0.199557\pi\) | |||||||
\(810\) | 1.03371e11 | − | 8.67386e10i | 6.83442 | − | 5.73476i | ||||
\(811\) | −5.28589e9 | − | 1.92391e9i | −0.347973 | − | 0.126652i | 0.162120 | − | 0.986771i | \(-0.448167\pi\) |
−0.510093 | + | 0.860119i | \(0.670389\pi\) | |||||||
\(812\) | 2.92280e9 | − | 1.06381e9i | 0.191581 | − | 0.0697299i | ||||
\(813\) | −5.20966e10 | −3.40011 | ||||||||
\(814\) | 9.68428e9 | − | 1.40882e10i | 0.629335 | − | 0.915526i | ||||
\(815\) | 2.44133e10 | 1.57970 | ||||||||
\(816\) | 2.27221e10 | − | 8.27018e9i | 1.46397 | − | 0.532843i | ||||
\(817\) | 1.30879e9 | + | 4.76359e8i | 0.0839637 | + | 0.0305603i | ||||
\(818\) | −3.58194e8 | + | 3.00560e8i | −0.0228813 | + | 0.0191997i | ||||
\(819\) | 4.88235e9 | + | 2.76892e10i | 0.310553 | + | 1.76123i | ||||
\(820\) | −2.63591e10 | −1.66948 | ||||||||
\(821\) | −5.40555e8 | − | 3.06564e9i | −0.0340909 | − | 0.193339i | 0.963006 | − | 0.269479i | \(-0.0868515\pi\) |
−0.997097 | + | 0.0761399i | \(0.975740\pi\) | |||||||
\(822\) | 1.26075e9 | − | 2.18369e9i | 0.0791732 | − | 0.137132i | ||||
\(823\) | −1.10020e9 | − | 9.23179e8i | −0.0687976 | − | 0.0577280i | 0.607740 | − | 0.794136i | \(-0.292076\pi\) |
−0.676538 | + | 0.736408i | \(0.736521\pi\) | |||||||
\(824\) | 3.13843e9 | + | 5.43593e9i | 0.195419 | + | 0.338476i | ||||
\(825\) | −2.28668e10 | + | 3.96065e10i | −1.41781 | + | 2.45571i | ||||
\(826\) | −2.00824e10 | + | 7.30938e9i | −1.23989 | + | 0.451284i | ||||
\(827\) | 1.61580e10 | − | 1.35582e10i | 0.993387 | − | 0.833551i | 0.00733269 | − | 0.999973i | \(-0.497666\pi\) |
0.986055 | + | 0.166422i | \(0.0532215\pi\) | |||||||
\(828\) | −2.26325e10 | − | 3.92007e10i | −1.38557 | − | 2.39987i | ||||
\(829\) | 4.35203e9 | − | 2.46816e10i | 0.265308 | − | 1.50464i | −0.502847 | − | 0.864375i | \(-0.667714\pi\) |
0.768156 | − | 0.640263i | \(-0.221175\pi\) | |||||||
\(830\) | 4.52717e9 | − | 2.56749e10i | 0.274823 | − | 1.55860i | ||||
\(831\) | −3.02012e10 | − | 2.53418e10i | −1.82566 | − | 1.53191i | ||||
\(832\) | 7.66474e9 | + | 2.78974e9i | 0.461388 | + | 0.167931i | ||||
\(833\) | −5.01168e9 | − | 1.82410e9i | −0.300418 | − | 0.109343i | ||||
\(834\) | −3.05677e10 | − | 2.56493e10i | −1.82466 | − | 1.53107i | ||||
\(835\) | 2.78103e9 | − | 1.57720e10i | 0.165311 | − | 0.937528i | ||||
\(836\) | 1.84985e8 | − | 1.04910e9i | 0.0109500 | − | 0.0621006i | ||||
\(837\) | 6.01670e9 | + | 1.04212e10i | 0.354666 | + | 0.614299i | ||||
\(838\) | 7.73807e8 | − | 6.49301e8i | 0.0454233 | − | 0.0381147i | ||||
\(839\) | −7.59436e8 | + | 2.76412e8i | −0.0443940 | + | 0.0161581i | −0.364122 | − | 0.931351i | \(-0.618631\pi\) |
0.319728 | + | 0.947509i | \(0.396409\pi\) | |||||||
\(840\) | −5.53083e9 | + | 9.57968e9i | −0.321968 | + | 0.557665i | ||||
\(841\) | 7.57149e9 | + | 1.31142e10i | 0.438930 | + | 0.760249i | ||||
\(842\) | 3.04136e10 | + | 2.55200e10i | 1.75580 | + | 1.47329i | ||||
\(843\) | −1.01723e10 | + | 1.76190e10i | −0.584821 | + | 1.01294i | ||||
\(844\) | −6.14179e8 | − | 3.48318e9i | −0.0351639 | − | 0.199424i | ||||
\(845\) | −6.83409e9 | −0.389657 | ||||||||
\(846\) | 6.47965e9 | + | 3.67479e10i | 0.367922 | + | 2.08659i | ||||
\(847\) | −3.10521e9 | + | 2.60558e9i | −0.175590 | + | 0.147337i | ||||
\(848\) | 5.00265e9 | + | 1.82082e9i | 0.281718 | + | 0.102537i | ||||
\(849\) | 2.12156e10 | − | 7.72186e9i | 1.18981 | − | 0.433057i | ||||
\(850\) | −2.90338e10 | −1.62158 | ||||||||
\(851\) | 2.14310e9 | + | 2.22762e10i | 0.119203 | + | 1.23905i | ||||
\(852\) | −2.79386e10 | −1.54762 | ||||||||
\(853\) | −1.10087e10 | + | 4.00685e9i | −0.607317 | + | 0.221045i | −0.627329 | − | 0.778754i | \(-0.715852\pi\) |
0.0200117 | + | 0.999800i | \(0.493630\pi\) | |||||||
\(854\) | −1.81995e10 | − | 6.62409e9i | −0.999903 | − | 0.363935i | ||||
\(855\) | −6.19822e9 | + | 5.20092e9i | −0.339145 | + | 0.284577i | ||||
\(856\) | −7.96498e8 | − | 4.51717e9i | −0.0434037 | − | 0.246155i | ||||
\(857\) | 7.88755e9 | 0.428064 | 0.214032 | − | 0.976827i | \(-0.431340\pi\) | ||||
0.214032 | + | 0.976827i | \(0.431340\pi\) | |||||||
\(858\) | 6.08130e9 | + | 3.44887e10i | 0.328693 | + | 1.86411i | ||||
\(859\) | −7.12307e7 | + | 1.23375e8i | −0.00383434 | + | 0.00664128i | −0.867936 | − | 0.496676i | \(-0.834554\pi\) |
0.864102 | + | 0.503317i | \(0.167887\pi\) | |||||||
\(860\) | 1.76990e10 | + | 1.48513e10i | 0.948867 | + | 0.796194i | ||||
\(861\) | −1.68396e10 | − | 2.91671e10i | −0.899127 | − | 1.55733i | ||||
\(862\) | 1.13099e10 | − | 1.95893e10i | 0.601428 | − | 1.04170i | ||||
\(863\) | −2.98165e10 | + | 1.08523e10i | −1.57914 | + | 0.574758i | −0.975016 | − | 0.222136i | \(-0.928697\pi\) |
−0.604119 | + | 0.796894i | \(0.706475\pi\) | |||||||
\(864\) | 6.51878e10 | − | 5.46991e10i | 3.43850 | − | 2.88524i | ||||
\(865\) | −7.09157e9 | − | 1.22830e10i | −0.372551 | − | 0.645278i | ||||
\(866\) | −7.13391e9 | + | 4.04584e10i | −0.373263 | + | 2.11688i | ||||
\(867\) | 3.41306e9 | − | 1.93564e10i | 0.177859 | − | 1.00869i | ||||
\(868\) | 1.74887e9 | + | 1.46747e9i | 0.0907690 | + | 0.0761642i | ||||
\(869\) | −2.05774e10 | − | 7.48956e9i | −1.06370 | − | 0.387157i | ||||
\(870\) | −2.76511e10 | − | 1.00642e10i | −1.42363 | − | 0.518157i | ||||
\(871\) | 7.41567e9 | + | 6.22248e9i | 0.380265 | + | 0.319081i | ||||
\(872\) | −1.05126e7 | + | 5.96197e7i | −0.000536910 | + | 0.00304497i | ||||
\(873\) | −7.30883e9 | + | 4.14504e10i | −0.371790 | + | 2.10853i | ||||
\(874\) | 1.57205e9 | + | 2.72288e9i | 0.0796485 | + | 0.137955i | ||||
\(875\) | 1.39616e10 | − | 1.17152e10i | 0.704542 | − | 0.591181i | ||||
\(876\) | 2.14746e10 | − | 7.81610e9i | 1.07934 | − | 0.392849i | ||||
\(877\) | 1.41926e10 | − | 2.45823e10i | 0.710500 | − | 1.23062i | −0.254170 | − | 0.967160i | \(-0.581802\pi\) |
0.964670 | − | 0.263462i | \(-0.0848645\pi\) | |||||||
\(878\) | 4.24493e9 | + | 7.35244e9i | 0.211661 | + | 0.366607i | ||||
\(879\) | 9.43198e9 | + | 7.91437e9i | 0.468427 | + | 0.393057i | ||||
\(880\) | −1.61586e10 | + | 2.79876e10i | −0.799310 | + | 1.38445i | ||||
\(881\) | 5.62477e9 | + | 3.18997e10i | 0.277134 | + | 1.57170i | 0.732102 | + | 0.681195i | \(0.238540\pi\) |
−0.454968 | + | 0.890508i | \(0.650349\pi\) | |||||||
\(882\) | −3.54254e10 | −1.73850 | ||||||||
\(883\) | 2.02588e9 | + | 1.14893e10i | 0.0990264 | + | 0.561607i | 0.993439 | + | 0.114364i | \(0.0364830\pi\) |
−0.894412 | + | 0.447243i | \(0.852406\pi\) | |||||||
\(884\) | −7.55390e9 | + | 6.33847e9i | −0.367780 | + | 0.308604i | ||||
\(885\) | 8.42658e10 | + | 3.06703e10i | 4.08649 | + | 1.48736i | ||||
\(886\) | −5.19024e9 | + | 1.88909e9i | −0.250709 | + | 0.0912505i | ||||
\(887\) | −2.78756e10 | −1.34119 | −0.670596 | − | 0.741823i | \(-0.733962\pi\) | ||||
−0.670596 | + | 0.741823i | \(0.733962\pi\) | |||||||
\(888\) | −1.06549e10 | + | 2.95391e9i | −0.510625 | + | 0.141563i | ||||
\(889\) | −6.03419e9 | −0.288047 | ||||||||
\(890\) | 7.15561e10 | − | 2.60443e10i | 3.40237 | − | 1.23836i | ||||
\(891\) | 6.59090e10 | + | 2.39889e10i | 3.12157 | + | 1.13616i | ||||
\(892\) | 1.69264e10 | − | 1.42030e10i | 0.798526 | − | 0.670043i | ||||
\(893\) | −1.99622e8 | − | 1.13211e9i | −0.00938056 | − | 0.0531998i | ||||
\(894\) | 5.24047e10 | 2.45295 | ||||||||
\(895\) | 1.53209e9 | + | 8.68891e9i | 0.0714337 | + | 0.405121i | ||||
\(896\) | −4.19934e9 | + | 7.27347e9i | −0.195031 | + | 0.337803i | ||||
\(897\) | −3.51184e10 | − | 2.94678e10i | −1.62465 | − | 1.36325i | ||||
\(898\) | −1.24297e10 | − | 2.15289e10i | −0.572788 | − | 0.992098i | ||||
\(899\) | 7.73221e8 | − | 1.33926e9i | 0.0354931 | − | 0.0614759i | ||||
\(900\) | −8.03768e10 | + | 2.92547e10i | −3.67521 | + | 1.33767i | ||||
\(901\) | −2.98836e9 | + | 2.50753e9i | −0.136112 | + | 0.114211i | ||||
\(902\) | −1.54451e10 | − | 2.67517e10i | −0.700759 | − | 1.21375i | ||||
\(903\) | −5.12622e9 | + | 2.90722e10i | −0.231681 | + | 1.31393i | ||||
\(904\) | −7.33671e6 | + | 4.16085e7i | −0.000330302 | + | 0.00187324i | ||||
\(905\) | −2.70988e10 | − | 2.27386e10i | −1.21529 | − | 1.01975i | ||||
\(906\) | −8.76516e10 | − | 3.19026e10i | −3.91571 | − | 1.42520i | ||||
\(907\) | −2.19916e10 | − | 8.00429e9i | −0.978659 | − | 0.356203i | −0.197340 | − | 0.980335i | \(-0.563230\pi\) |
−0.781319 | + | 0.624132i | \(0.785453\pi\) | |||||||
\(908\) | 2.43849e9 | + | 2.04613e9i | 0.108099 | + | 0.0907054i | ||||
\(909\) | 4.71194e9 | − | 2.67227e10i | 0.208078 | − | 1.18007i | ||||
\(910\) | 5.62570e9 | − | 3.19049e10i | 0.247475 | − | 1.40350i | ||||
\(911\) | 3.51401e9 | + | 6.08644e9i | 0.153988 | + | 0.266716i | 0.932690 | − | 0.360678i | \(-0.117455\pi\) |
−0.778702 | + | 0.627394i | \(0.784121\pi\) | |||||||
\(912\) | −3.79046e9 | + | 3.18057e9i | −0.165466 | + | 0.138843i | ||||
\(913\) | 1.27337e10 | − | 4.63470e9i | 0.553743 | − | 0.201546i | ||||
\(914\) | −1.07071e10 | + | 1.85452e10i | −0.463830 | + | 0.803377i | ||||
\(915\) | 4.06332e10 | + | 7.03789e10i | 1.75351 | + | 3.03716i | ||||
\(916\) | 1.35730e10 | + | 1.13891e10i | 0.583500 | + | 0.489615i | ||||
\(917\) | 1.27134e10 | − | 2.20203e10i | 0.544465 | − | 0.943042i | ||||
\(918\) | 1.31200e10 | + | 7.44072e10i | 0.559738 | + | 3.17443i | ||||
\(919\) | 3.38547e10 | 1.43885 | 0.719424 | − | 0.694572i | \(-0.244406\pi\) | ||||
0.719424 | + | 0.694572i | \(0.244406\pi\) | |||||||
\(920\) | −2.30624e9 | − | 1.30793e10i | −0.0976443 | − | 0.553769i | ||||
\(921\) | −5.02010e10 | + | 4.21237e10i | −2.11741 | + | 1.77671i | ||||
\(922\) | −2.06276e9 | − | 7.50783e8i | −0.0866743 | − | 0.0315469i | ||||
\(923\) | −1.95794e10 | + | 7.12632e9i | −0.819584 | + | 0.298304i | ||||
\(924\) | 2.25793e10 | 0.941582 | ||||||||
\(925\) | 4.21579e10 | + | 3.32141e9i | 1.75139 | + | 0.137983i | ||||
\(926\) | 1.19602e10 | 0.494993 | ||||||||
\(927\) | −9.14462e10 | + | 3.32837e10i | −3.77039 | + | 1.37231i | ||||
\(928\) | −1.02765e10 | − | 3.74033e9i | −0.422110 | − | 0.153636i | ||||
\(929\) | −1.04603e10 | + | 8.77723e9i | −0.428045 | + | 0.359172i | −0.831213 | − | 0.555954i | \(-0.812353\pi\) |
0.403169 | + | 0.915126i | \(0.367909\pi\) | |||||||
\(930\) | −3.75048e9 | − | 2.12700e10i | −0.152896 | − | 0.867117i | ||||
\(931\) | 1.09137e9 | 0.0443249 | ||||||||
\(932\) | −1.93767e9 | − | 1.09891e10i | −0.0784014 | − | 0.444636i | ||||
\(933\) | −9.46297e9 | + | 1.63903e10i | −0.381454 | + | 0.660697i | ||||
\(934\) | −2.68025e10 | − | 2.24900e10i | −1.07637 | − | 0.903181i | ||||
\(935\) | −1.18405e10 | − | 2.05083e10i | −0.473727 | − | 0.820520i | ||||
\(936\) | 8.33928e9 | − | 1.44441e10i | 0.332402 | − | 0.575737i | ||||
\(937\) | 2.86837e10 | − | 1.04400e10i | 1.13906 | − | 0.414584i | 0.297486 | − | 0.954726i | \(-0.403852\pi\) |
0.841574 | + | 0.540142i | \(0.181630\pi\) | |||||||
\(938\) | 1.07798e10 | − | 9.04534e9i | 0.426483 | − | 0.357862i | ||||
\(939\) | −3.02730e10 | − | 5.24344e10i | −1.19324 | − | 2.06674i | ||||
\(940\) | 3.31148e9 | − | 1.87803e10i | 0.130039 | − | 0.737489i | ||||
\(941\) | 5.38573e9 | − | 3.05440e10i | 0.210708 | − | 1.19499i | −0.677493 | − | 0.735530i | \(-0.736933\pi\) |
0.888201 | − | 0.459456i | \(-0.151955\pi\) | |||||||
\(942\) | 3.07211e10 | + | 2.57781e10i | 1.19745 | + | 1.00478i | ||||
\(943\) | 3.79981e10 | + | 1.38302e10i | 1.47561 | + | 0.537077i | ||||
\(944\) | 3.79463e10 | + | 1.38113e10i | 1.46814 | + | 0.534359i | ||||
\(945\) | −8.43393e10 | − | 7.07690e10i | −3.25101 | − | 2.72792i | ||||
\(946\) | −4.70172e9 | + | 2.66648e10i | −0.180567 | + | 1.02404i | ||||
\(947\) | −4.55555e9 | + | 2.58358e10i | −0.174307 | + | 0.988546i | 0.764633 | + | 0.644466i | \(0.222920\pi\) |
−0.938940 | + | 0.344080i | \(0.888191\pi\) | |||||||
\(948\) | −2.78093e10 | − | 4.81672e10i | −1.06014 | − | 1.83621i | ||||
\(949\) | 1.30558e10 | − | 1.09551e10i | 0.495873 | − | 0.416087i | ||||
\(950\) | 5.58296e9 | − | 2.03203e9i | 0.211267 | − | 0.0768949i | ||||
\(951\) | 4.60096e10 | − | 7.96910e10i | 1.73467 | − | 3.00454i | ||||
\(952\) | −1.82504e9 | − | 3.16106e9i | −0.0685556 | − | 0.118742i | ||||
\(953\) | 3.44619e10 | + | 2.89170e10i | 1.28978 | + | 1.08225i | 0.991816 | + | 0.127672i | \(0.0407505\pi\) |
0.297960 | + | 0.954578i | \(0.403694\pi\) | |||||||
\(954\) | −1.29559e10 | + | 2.24402e10i | −0.483111 | + | 0.836773i | ||||
\(955\) | −5.91506e9 | − | 3.35460e10i | −0.219759 | − | 1.24632i | ||||
\(956\) | 2.32771e10 | 0.861642 | ||||||||
\(957\) | −2.65590e9 | − | 1.50623e10i | −0.0979534 | − | 0.555521i | ||||
\(958\) | 3.65895e10 | − | 3.07022e10i | 1.34455 | − | 1.12821i | ||||
\(959\) | −1.13930e9 | − | 4.14672e8i | −0.0417133 | − | 0.0151824i | ||||
\(960\) | −4.67515e10 | + | 1.70162e10i | −1.70548 | + | 0.620743i | ||||
\(961\) | −2.63775e10 | −0.958744 | ||||||||
\(962\) | 2.63648e10 | − | 1.88026e10i | 0.954799 | − | 0.680932i | ||||
\(963\) | 7.11134e10 | 2.56602 | ||||||||
\(964\) | −1.60911e10 | + | 5.85670e9i | −0.578519 | + | 0.210564i | ||||
\(965\) | −4.45617e10 | − | 1.62191e10i | −1.59631 | − | 0.581008i | ||||
\(966\) | −5.10500e10 | + | 4.28360e10i | −1.82211 | + | 1.52894i | ||||
\(967\) | 8.68568e9 | + | 4.92590e10i | 0.308895 | + | 1.75183i | 0.604578 | + | 0.796546i | \(0.293342\pi\) |
−0.295682 | + | 0.955286i | \(0.595547\pi\) | |||||||
\(968\) | 2.40457e9 | 0.0852066 | ||||||||
\(969\) | −6.29611e8 | − | 3.57070e9i | −0.0222300 | − | 0.126073i | ||||
\(970\) | 2.42491e10 | − | 4.20006e10i | 0.853088 | − | 1.47759i | ||||
\(971\) | 3.08821e10 | + | 2.59131e10i | 1.08253 | + | 0.908349i | 0.996128 | − | 0.0879115i | \(-0.0280193\pi\) |
0.0863999 | + | 0.996261i | \(0.472464\pi\) | |||||||
\(972\) | 4.92266e10 | + | 8.52630e10i | 1.71936 | + | 2.97803i | ||||
\(973\) | −9.59339e9 | + | 1.66162e10i | −0.333870 | + | 0.578280i | ||||
\(974\) | −1.74197e10 | + | 6.34026e9i | −0.604067 | + | 0.219862i | ||||
\(975\) | −6.63614e10 | + | 5.56839e10i | −2.29298 | + | 1.92404i | ||||
\(976\) | 1.82978e10 | + | 3.16927e10i | 0.629977 | + | 1.09115i | ||||
\(977\) | 5.39523e9 | − | 3.05978e10i | 0.185088 | − | 1.04969i | −0.740754 | − | 0.671776i | \(-0.765532\pi\) |
0.925842 | − | 0.377911i | \(-0.123357\pi\) | |||||||
\(978\) | −1.26184e10 | + | 7.15623e10i | −0.431338 | + | 2.44624i | ||||
\(979\) | 3.03199e10 | + | 2.54415e10i | 1.03274 | + | 0.866568i | ||||
\(980\) | 1.70126e10 | + | 6.19208e9i | 0.577403 | + | 0.210158i | ||||
\(981\) | −8.81985e8 | − | 3.21016e8i | −0.0298277 | − | 0.0108564i | ||||
\(982\) | 5.09880e10 | + | 4.27840e10i | 1.71821 | + | 1.44175i | ||||
\(983\) | 1.02189e9 | − | 5.79543e9i | 0.0343137 | − | 0.194603i | −0.962832 | − | 0.270100i | \(-0.912943\pi\) |
0.997146 | + | 0.0754973i | \(0.0240544\pi\) | |||||||
\(984\) | −3.46922e9 | + | 1.96749e10i | −0.116078 | + | 0.658309i | ||||
\(985\) | 2.12437e10 | + | 3.67952e10i | 0.708277 | + | 1.22677i | ||||
\(986\) | 7.43812e9 | − | 6.24132e9i | 0.247112 | − | 0.207352i | ||||
\(987\) | 2.28965e10 | − | 8.33364e9i | 0.757982 | − | 0.275883i | ||||
\(988\) | 1.00893e9 | − | 1.74752e9i | 0.0332822 | − | 0.0576465i | ||||
\(989\) | −1.77219e10 | − | 3.06953e10i | −0.582538 | − | 1.00898i | ||||
\(990\) | −1.20495e11 | − | 1.01108e11i | −3.94682 | − | 3.31178i | ||||
\(991\) | −6.74255e9 | + | 1.16784e10i | −0.220073 | + | 0.381177i | −0.954830 | − | 0.297153i | \(-0.903963\pi\) |
0.734757 | + | 0.678330i | \(0.237296\pi\) | |||||||
\(992\) | −1.39385e9 | − | 7.90494e9i | −0.0453343 | − | 0.257103i | ||||
\(993\) | −4.56286e10 | −1.47882 | ||||||||
\(994\) | 5.25951e9 | + | 2.98281e10i | 0.169861 | + | 0.963327i | ||||
\(995\) | −1.13743e10 | + | 9.54416e9i | −0.366053 | + | 0.307155i | ||||
\(996\) | 3.23424e10 | + | 1.17717e10i | 1.03721 | + | 0.377512i | ||||
\(997\) | 2.05668e10 | − | 7.48569e9i | 0.657253 | − | 0.239221i | 0.00820316 | − | 0.999966i | \(-0.497389\pi\) |
0.649050 | + | 0.760746i | \(0.275167\pi\) | |||||||
\(998\) | 2.01854e9 | 0.0642808 | ||||||||
\(999\) | −1.05386e10 | − | 1.09542e11i | −0.334428 | − | 3.47619i |
(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 | 37.8.f.a.7.4 | ✓ | 132 | |
37.16 | even | 9 | inner | 37.8.f.a.16.4 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.8.f.a.7.4 | ✓ | 132 | 1.1 | even | 1 | trivial | |
37.8.f.a.16.4 | yes | 132 | 37.16 | even | 9 | inner |