Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [76,8,Mod(27,76)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(76, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("76.27");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 76 = 2^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 76.f (of order \(6\), degree \(2\), 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: | \(23.7412619368\) |
Analytic rank: | \(0\) |
Dimension: | \(136\) |
Relative dimension: | \(68\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 27.16 | ||
Character | \(\chi\) | \(=\) | 76.27 |
Dual form | 76.8.f.a.31.16 |
$q$-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 \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −8.08949 | + | 7.90950i | −0.715017 | + | 0.699107i | ||||
\(3\) | 43.0241 | − | 74.5200i | 0.920000 | − | 1.59349i | 0.120589 | − | 0.992703i | \(-0.461522\pi\) |
0.799411 | − | 0.600784i | \(-0.205145\pi\) | |||||||
\(4\) | 2.87975 | − | 127.968i | 0.0224980 | − | 0.999747i | ||||
\(5\) | −29.6094 | + | 51.2850i | −0.105934 | + | 0.183483i | −0.914119 | − | 0.405445i | \(-0.867117\pi\) |
0.808185 | + | 0.588928i | \(0.200450\pi\) | |||||||
\(6\) | 241.372 | + | 943.128i | 0.456203 | + | 1.78255i | ||||
\(7\) | 1634.91i | 1.80157i | 0.434264 | + | 0.900786i | \(0.357009\pi\) | ||||
−0.434264 | + | 0.900786i | \(0.642991\pi\) | |||||||
\(8\) | 988.864 | + | 1057.97i | 0.682844 | + | 0.730564i | ||||
\(9\) | −2608.65 | − | 4518.32i | −1.19280 | − | 2.06599i | ||||
\(10\) | −166.114 | − | 649.066i | −0.0525297 | − | 0.205253i | ||||
\(11\) | − | 2666.21i | − | 0.603976i | −0.953312 | − | 0.301988i | \(-0.902350\pi\) | ||
0.953312 | − | 0.301988i | \(-0.0976502\pi\) | |||||||
\(12\) | −9412.25 | − | 5720.30i | −1.57239 | − | 0.955617i | ||||
\(13\) | −7336.20 | + | 4235.56i | −0.926125 | + | 0.534699i | −0.885584 | − | 0.464479i | \(-0.846242\pi\) |
−0.0405412 | + | 0.999178i | \(0.512908\pi\) | |||||||
\(14\) | −12931.3 | − | 13225.6i | −1.25949 | − | 1.28815i | ||||
\(15\) | 2547.84 | + | 4412.99i | 0.194918 | + | 0.337609i | ||||
\(16\) | −16367.4 | − | 737.029i | −0.998988 | − | 0.0449847i | ||||
\(17\) | 1288.71 | − | 2232.11i | 0.0636184 | − | 0.110190i | −0.832462 | − | 0.554082i | \(-0.813069\pi\) |
0.896080 | + | 0.443892i | \(0.146403\pi\) | |||||||
\(18\) | 56840.3 | + | 15917.8i | 2.29722 | + | 0.643323i | ||||
\(19\) | −29888.7 | + | 732.515i | −0.999700 | + | 0.0245007i | ||||
\(20\) | 6477.56 | + | 3936.74i | 0.181053 | + | 0.110035i | ||||
\(21\) | 121834. | + | 70340.7i | 2.87078 | + | 1.65745i | ||||
\(22\) | 21088.4 | + | 21568.3i | 0.422244 | + | 0.431853i | ||||
\(23\) | −59079.7 | + | 34109.7i | −1.01249 | + | 0.584561i | −0.911920 | − | 0.410369i | \(-0.865400\pi\) |
−0.100570 | + | 0.994930i | \(0.532067\pi\) | |||||||
\(24\) | 121385. | − | 28171.8i | 1.79236 | − | 0.415983i | ||||
\(25\) | 37309.1 | + | 64621.2i | 0.477556 | + | 0.827151i | ||||
\(26\) | 25845.0 | − | 92289.2i | 0.288383 | − | 1.02978i | ||||
\(27\) | −260753. | −2.54950 | ||||||||
\(28\) | 209216. | + | 4708.14i | 1.80112 | + | 0.0405318i | ||||
\(29\) | −134287. | + | 77530.7i | −1.02245 | + | 0.590310i | −0.914812 | − | 0.403880i | \(-0.867661\pi\) |
−0.107636 | + | 0.994190i | \(0.534328\pi\) | |||||||
\(30\) | −55515.3 | − | 15546.7i | −0.375395 | − | 0.105127i | ||||
\(31\) | 65344.0 | 0.393949 | 0.196974 | − | 0.980409i | \(-0.436888\pi\) | ||||
0.196974 | + | 0.980409i | \(0.436888\pi\) | |||||||
\(32\) | 138234. | − | 123496.i | 0.745742 | − | 0.666235i | ||||
\(33\) | −198686. | − | 114711.i | −0.962428 | − | 0.555658i | ||||
\(34\) | 7229.85 | + | 28249.6i | 0.0315466 | + | 0.123264i | ||||
\(35\) | −83846.6 | − | 48408.8i | −0.330558 | − | 0.190848i | ||||
\(36\) | −585711. | + | 320812.i | −2.09230 | + | 1.14602i | ||||
\(37\) | 264441.i | 0.858268i | 0.903241 | + | 0.429134i | \(0.141181\pi\) | ||||
−0.903241 | + | 0.429134i | \(0.858819\pi\) | |||||||
\(38\) | 235991. | − | 242330.i | 0.697674 | − | 0.716416i | ||||
\(39\) | 728925.i | 1.96769i | ||||||||
\(40\) | −83537.7 | + | 19388.0i | −0.206382 | + | 0.0478986i | ||||
\(41\) | 547020. | + | 315822.i | 1.23954 | + | 0.715648i | 0.969000 | − | 0.247062i | \(-0.0794650\pi\) |
0.270538 | + | 0.962709i | \(0.412798\pi\) | |||||||
\(42\) | −1.54193e6 | + | 394623.i | −3.21139 | + | 0.821882i | ||||
\(43\) | −189982. | − | 109686.i | −0.364395 | − | 0.210384i | 0.306612 | − | 0.951835i | \(-0.400805\pi\) |
−0.671007 | + | 0.741451i | \(0.734138\pi\) | |||||||
\(44\) | −341188. | − | 7678.01i | −0.603823 | − | 0.0135883i | ||||
\(45\) | 308963. | 0.505432 | ||||||||
\(46\) | 208134. | − | 743220.i | 0.315276 | − | 1.12581i | ||||
\(47\) | 14898.6 | − | 8601.71i | 0.0209316 | − | 0.0120849i | −0.489498 | − | 0.872005i | \(-0.662820\pi\) |
0.510429 | + | 0.859920i | \(0.329487\pi\) | |||||||
\(48\) | −759117. | + | 1.18799e6i | −0.990751 | + | 1.55049i | ||||
\(49\) | −1.84940e6 | −2.24566 | ||||||||
\(50\) | −812932. | − | 227657.i | −0.919728 | − | 0.257564i | ||||
\(51\) | −110891. | − | 192069.i | −0.117058 | − | 0.202750i | ||||
\(52\) | 520888. | + | 950994.i | 0.513727 | + | 0.937920i | ||||
\(53\) | 1.28664e6 | − | 742840.i | 1.18711 | − | 0.685378i | 0.229460 | − | 0.973318i | \(-0.426304\pi\) |
0.957648 | + | 0.287941i | \(0.0929705\pi\) | |||||||
\(54\) | 2.10936e6 | − | 2.06242e6i | 1.82294 | − | 1.78238i | ||||
\(55\) | 136737. | + | 78944.9i | 0.110819 | + | 0.0639815i | ||||
\(56\) | −1.72969e6 | + | 1.61671e6i | −1.31616 | + | 1.23019i | ||||
\(57\) | −1.23135e6 | + | 2.25882e6i | −0.880682 | + | 1.61555i | ||||
\(58\) | 473085. | − | 1.68933e6i | 0.318377 | − | 1.13688i | ||||
\(59\) | −955553. | + | 1.65507e6i | −0.605721 | + | 1.04914i | 0.386216 | + | 0.922408i | \(0.373782\pi\) |
−0.991937 | + | 0.126731i | \(0.959551\pi\) | |||||||
\(60\) | 572057. | − | 313333.i | 0.341908 | − | 0.187274i | ||||
\(61\) | 473882. | + | 820787.i | 0.267310 | + | 0.462995i | 0.968166 | − | 0.250308i | \(-0.0805318\pi\) |
−0.700856 | + | 0.713303i | \(0.747199\pi\) | |||||||
\(62\) | −528600. | + | 516838.i | −0.281680 | + | 0.275412i | ||||
\(63\) | 7.38706e6 | − | 4.26492e6i | 3.72203 | − | 2.14891i | ||||
\(64\) | −141450. | + | 2.09238e6i | −0.0674486 | + | 0.997723i | ||||
\(65\) | − | 501650.i | − | 0.226571i | ||||||
\(66\) | 2.51458e6 | − | 643549.i | 1.07662 | − | 0.275535i | ||||
\(67\) | −1.77345e6 | − | 3.07171e6i | −0.720372 | − | 1.24772i | −0.960851 | − | 0.277067i | \(-0.910638\pi\) |
0.240478 | − | 0.970655i | \(-0.422696\pi\) | |||||||
\(68\) | −281926. | − | 171341.i | −0.108731 | − | 0.0660814i | ||||
\(69\) | 5.87016e6i | 2.15119i | ||||||||
\(70\) | 1.06117e6 | − | 271581.i | 0.369777 | − | 0.0946360i | ||||
\(71\) | −646442. | + | 1.11967e6i | −0.214351 | + | 0.371267i | −0.953072 | − | 0.302745i | \(-0.902097\pi\) |
0.738721 | + | 0.674012i | \(0.235430\pi\) | |||||||
\(72\) | 2.20065e6 | − | 7.22788e6i | 0.694843 | − | 2.28217i | ||||
\(73\) | 2.29276e6 | − | 3.97118e6i | 0.689809 | − | 1.19478i | −0.282091 | − | 0.959388i | \(-0.591028\pi\) |
0.971900 | − | 0.235396i | \(-0.0756387\pi\) | |||||||
\(74\) | −2.09160e6 | − | 2.13919e6i | −0.600021 | − | 0.613676i | ||||
\(75\) | 6.42076e6 | 1.75741 | ||||||||
\(76\) | 7666.20 | + | 3.82690e6i | 0.00200324 | + | 0.999998i | ||||
\(77\) | 4.35902e6 | 1.08811 | ||||||||
\(78\) | −5.76543e6 | − | 5.89664e6i | −1.37563 | − | 1.40693i | ||||
\(79\) | −328330. | + | 568685.i | −0.0749232 | + | 0.129771i | −0.901053 | − | 0.433709i | \(-0.857204\pi\) |
0.826130 | + | 0.563480i | \(0.190538\pi\) | |||||||
\(80\) | 522428. | − | 817580.i | 0.114081 | − | 0.178532i | ||||
\(81\) | −5.51354e6 | + | 9.54973e6i | −1.15274 | + | 1.99661i | ||||
\(82\) | −6.92311e6 | + | 1.77181e6i | −1.38661 | + | 0.354870i | ||||
\(83\) | 2.78336e6i | 0.534313i | 0.963653 | + | 0.267156i | \(0.0860840\pi\) | ||||
−0.963653 | + | 0.267156i | \(0.913916\pi\) | |||||||
\(84\) | 9.35218e6 | − | 1.53882e7i | 1.72161 | − | 2.83276i | ||||
\(85\) | 76315.8 | + | 132183.i | 0.0134787 | + | 0.0233458i | ||||
\(86\) | 2.40442e6 | − | 615357.i | 0.407630 | − | 0.104324i | ||||
\(87\) | 1.33428e7i | 2.17234i | ||||||||
\(88\) | 2.82077e6 | − | 2.63652e6i | 0.441243 | − | 0.412421i | ||||
\(89\) | −7.04611e6 | + | 4.06807e6i | −1.05946 | + | 0.611679i | −0.925283 | − | 0.379278i | \(-0.876172\pi\) |
−0.134177 | + | 0.990957i | \(0.542839\pi\) | |||||||
\(90\) | −2.49935e6 | + | 2.44374e6i | −0.361392 | + | 0.353351i | ||||
\(91\) | −6.92477e6 | − | 1.19941e7i | −0.963298 | − | 1.66848i | ||||
\(92\) | 4.19480e6 | + | 7.65851e6i | 0.561634 | + | 1.02539i | ||||
\(93\) | 2.81137e6 | − | 4.86943e6i | 0.362433 | − | 0.627752i | ||||
\(94\) | −52486.9 | + | 187424.i | −0.00651783 | + | 0.0232743i | ||||
\(95\) | 847421. | − | 1.55453e6i | 0.101407 | − | 0.186023i | ||||
\(96\) | −3.25553e6 | − | 1.56145e7i | −0.375554 | − | 1.80127i | ||||
\(97\) | −1.14343e7 | − | 6.60157e6i | −1.27206 | − | 0.734423i | −0.296683 | − | 0.954976i | \(-0.595880\pi\) |
−0.975375 | + | 0.220553i | \(0.929214\pi\) | |||||||
\(98\) | 1.49607e7 | − | 1.46278e7i | 1.60568 | − | 1.56996i | ||||
\(99\) | −1.20468e7 | + | 6.95521e6i | −1.24781 | + | 0.720423i | ||||
\(100\) | 8.37686e6 | − | 4.58826e6i | 0.837686 | − | 0.458826i | ||||
\(101\) | −16298.4 | − | 28229.7i | −0.00157406 | − | 0.00272635i | 0.865237 | − | 0.501363i | \(-0.167168\pi\) |
−0.866811 | + | 0.498636i | \(0.833834\pi\) | |||||||
\(102\) | 2.41622e6 | + | 676648.i | 0.225443 | + | 0.0631338i | ||||
\(103\) | −1.09557e7 | −0.987892 | −0.493946 | − | 0.869493i | \(-0.664446\pi\) | ||||
−0.493946 | + | 0.869493i | \(0.664446\pi\) | |||||||
\(104\) | −1.17356e7 | − | 3.57310e6i | −1.02303 | − | 0.311478i | ||||
\(105\) | −7.21485e6 | + | 4.16550e6i | −0.608226 | + | 0.351159i | ||||
\(106\) | −4.53275e6 | + | 1.61858e7i | −0.369650 | + | 1.31997i | ||||
\(107\) | −3.08903e6 | −0.243769 | −0.121884 | − | 0.992544i | \(-0.538894\pi\) | ||||
−0.121884 | + | 0.992544i | \(0.538894\pi\) | |||||||
\(108\) | −750902. | + | 3.33679e7i | −0.0573588 | + | 2.54886i | ||||
\(109\) | 5.26238e6 | + | 3.03824e6i | 0.389215 | + | 0.224713i | 0.681820 | − | 0.731520i | \(-0.261189\pi\) |
−0.292605 | + | 0.956233i | \(0.594522\pi\) | |||||||
\(110\) | −1.73054e6 | + | 442893.i | −0.123968 | + | 0.0317267i | ||||
\(111\) | 1.97061e7 | + | 1.13773e7i | 1.36764 | + | 0.789606i | ||||
\(112\) | 1.20498e6 | − | 2.67593e7i | 0.0810431 | − | 1.79975i | ||||
\(113\) | 1.13855e7i | 0.742296i | 0.928574 | + | 0.371148i | \(0.121036\pi\) | ||||
−0.928574 | + | 0.371148i | \(0.878964\pi\) | |||||||
\(114\) | −7.90516e6 | − | 2.80121e7i | −0.499740 | − | 1.77084i | ||||
\(115\) | − | 4.03987e6i | − | 0.247700i | ||||||
\(116\) | 9.53470e6 | + | 1.74077e7i | 0.567158 | + | 1.03547i | ||||
\(117\) | 3.82752e7 | + | 2.20982e7i | 2.20936 | + | 1.27558i | ||||
\(118\) | −5.36080e6 | − | 2.09466e7i | −0.300360 | − | 1.17362i | ||||
\(119\) | 3.64930e6 | + | 2.10692e6i | 0.198516 | + | 0.114613i | ||||
\(120\) | −2.14934e6 | + | 7.05938e6i | −0.113546 | + | 0.372934i | ||||
\(121\) | 1.23785e7 | 0.635213 | ||||||||
\(122\) | −1.03255e7 | − | 2.89159e6i | −0.514814 | − | 0.144171i | ||||
\(123\) | 4.70702e7 | − | 2.71760e7i | 2.28075 | − | 1.31679i | ||||
\(124\) | 188174. | − | 8.36191e6i | 0.00886307 | − | 0.393849i | ||||
\(125\) | −9.04527e6 | −0.414225 | ||||||||
\(126\) | −2.60242e7 | + | 9.29290e7i | −1.15899 | + | 4.13861i | ||||
\(127\) | −1.38974e7 | − | 2.40710e7i | −0.602033 | − | 1.04275i | −0.992513 | − | 0.122140i | \(-0.961024\pi\) |
0.390480 | − | 0.920611i | \(-0.372309\pi\) | |||||||
\(128\) | −1.54054e7 | − | 1.80451e7i | −0.649288 | − | 0.760542i | ||||
\(129\) | −1.63476e7 | + | 9.43831e6i | −0.670488 | + | 0.387106i | ||||
\(130\) | 3.96780e6 | + | 4.05809e6i | 0.158397 | + | 0.162002i | ||||
\(131\) | 5.79630e6 | + | 3.34650e6i | 0.225269 | + | 0.130059i | 0.608388 | − | 0.793640i | \(-0.291817\pi\) |
−0.383119 | + | 0.923699i | \(0.625150\pi\) | |||||||
\(132\) | −1.52515e7 | + | 2.50950e7i | −0.577170 | + | 0.949683i | ||||
\(133\) | −1.19760e6 | − | 4.88654e7i | −0.0441398 | − | 1.80103i | ||||
\(134\) | 3.86419e7 | + | 1.08214e7i | 1.38737 | + | 0.388524i | ||||
\(135\) | 7.72074e6 | − | 1.33727e7i | 0.270079 | − | 0.467791i | ||||
\(136\) | 3.63586e6 | − | 843835.i | 0.123943 | − | 0.0287654i | ||||
\(137\) | −4.48102e6 | − | 7.76135e6i | −0.148886 | − | 0.257879i | 0.781930 | − | 0.623367i | \(-0.214236\pi\) |
−0.930816 | + | 0.365488i | \(0.880902\pi\) | |||||||
\(138\) | −4.64300e7 | − | 4.74866e7i | −1.50391 | − | 1.53813i | ||||
\(139\) | 2.28447e7 | − | 1.31894e7i | 0.721496 | − | 0.416556i | −0.0938072 | − | 0.995590i | \(-0.529904\pi\) |
0.815303 | + | 0.579035i | \(0.196570\pi\) | |||||||
\(140\) | −6.43622e6 | + | 1.05902e7i | −0.198236 | + | 0.326180i | ||||
\(141\) | − | 1.48032e6i | − | 0.0444723i | ||||||
\(142\) | −3.62664e6 | − | 1.41706e7i | −0.106291 | − | 0.415316i | ||||
\(143\) | 1.12929e7 | + | 1.95598e7i | 0.322945 | + | 0.559357i | ||||
\(144\) | 3.93668e7 | + | 7.58759e7i | 1.09865 | + | 2.11756i | ||||
\(145\) | − | 9.18255e6i | − | 0.250136i | ||||||
\(146\) | 1.28627e7 | + | 5.02594e7i | 0.342057 | + | 1.33654i | ||||
\(147\) | −7.95687e7 | + | 1.37817e8i | −2.06601 | + | 3.57843i | ||||
\(148\) | 3.38399e7 | + | 761524.i | 0.858050 | + | 0.0193093i | ||||
\(149\) | 1.58956e7 | − | 2.75320e7i | 0.393663 | − | 0.681845i | −0.599266 | − | 0.800550i | \(-0.704541\pi\) |
0.992930 | + | 0.118705i | \(0.0378742\pi\) | |||||||
\(150\) | −5.19407e7 | + | 5.07850e7i | −1.25657 | + | 1.22862i | ||||
\(151\) | −7.83494e7 | −1.85189 | −0.925947 | − | 0.377653i | \(-0.876731\pi\) | ||||
−0.925947 | + | 0.377653i | \(0.876731\pi\) | |||||||
\(152\) | −3.03308e7 | − | 3.08970e7i | −0.700538 | − | 0.713615i | ||||
\(153\) | −1.34472e7 | −0.303536 | ||||||||
\(154\) | −3.52622e7 | + | 3.44776e7i | −0.778014 | + | 0.760703i | ||||
\(155\) | −1.93480e6 | + | 3.35117e6i | −0.0417325 | + | 0.0722829i | ||||
\(156\) | 9.32788e7 | + | 2.09912e6i | 1.96719 | + | 0.0442692i | ||||
\(157\) | −1.92101e7 | + | 3.32728e7i | −0.396169 | + | 0.686184i | −0.993250 | − | 0.115997i | \(-0.962994\pi\) |
0.597081 | + | 0.802181i | \(0.296327\pi\) | |||||||
\(158\) | −1.84199e6 | − | 7.19730e6i | −0.0371524 | − | 0.145168i | ||||
\(159\) | − | 1.27840e8i | − | 2.52219i | ||||||
\(160\) | 2.24047e6 | + | 1.07460e7i | 0.0432433 | + | 0.207408i | ||||
\(161\) | −5.57663e7 | − | 9.65901e7i | −1.05313 | − | 1.82407i | ||||
\(162\) | −3.09318e7 | − | 1.20862e8i | −0.571614 | − | 2.23350i | ||||
\(163\) | − | 2.87610e7i | − | 0.520173i | −0.965585 | − | 0.260087i | \(-0.916249\pi\) | ||
0.965585 | − | 0.260087i | \(-0.0837511\pi\) | |||||||
\(164\) | 4.19903e7 | − | 6.90914e7i | 0.743354 | − | 1.22312i | ||||
\(165\) | 1.17659e7 | − | 6.79307e6i | 0.203907 | − | 0.117726i | ||||
\(166\) | −2.20150e7 | − | 2.25159e7i | −0.373542 | − | 0.382043i | ||||
\(167\) | −5.68377e7 | − | 9.84458e7i | −0.944341 | − | 1.63565i | −0.757065 | − | 0.653340i | \(-0.773367\pi\) |
−0.187277 | − | 0.982307i | \(-0.559966\pi\) | |||||||
\(168\) | 4.60585e7 | + | 1.98454e8i | 0.749424 | + | 3.22907i | ||||
\(169\) | 4.50567e6 | − | 7.80405e6i | 0.0718052 | − | 0.124370i | ||||
\(170\) | −1.66285e6 | − | 465672.i | −0.0259587 | − | 0.00726958i | ||||
\(171\) | 8.12790e7 | + | 1.33136e8i | 1.24306 | + | 2.03615i | ||||
\(172\) | −1.45834e7 | + | 2.39957e7i | −0.218529 | + | 0.359570i | ||||
\(173\) | 6.41414e7 | + | 3.70321e7i | 0.941840 | + | 0.543772i | 0.890537 | − | 0.454911i | \(-0.150329\pi\) |
0.0513037 | + | 0.998683i | \(0.483662\pi\) | |||||||
\(174\) | −1.05535e8 | − | 1.07936e8i | −1.51870 | − | 1.55326i | ||||
\(175\) | −1.05650e8 | + | 6.09971e7i | −1.49017 | + | 0.860351i | ||||
\(176\) | −1.96507e6 | + | 4.36389e7i | −0.0271697 | + | 0.603365i | ||||
\(177\) | 8.22237e7 | + | 1.42416e8i | 1.11453 | + | 1.93042i | ||||
\(178\) | 2.48230e7 | − | 8.86398e7i | 0.329902 | − | 1.17804i | ||||
\(179\) | 1.00224e7 | 0.130613 | 0.0653063 | − | 0.997865i | \(-0.479198\pi\) | ||||
0.0653063 | + | 0.997865i | \(0.479198\pi\) | |||||||
\(180\) | 889736. | − | 3.95373e7i | 0.0113712 | − | 0.505304i | ||||
\(181\) | 6.03100e7 | − | 3.48200e7i | 0.755987 | − | 0.436469i | −0.0718664 | − | 0.997414i | \(-0.522896\pi\) |
0.827853 | + | 0.560945i | \(0.189562\pi\) | |||||||
\(182\) | 1.50885e8 | + | 4.22544e7i | 1.85522 | + | 0.519543i | ||||
\(183\) | 8.15534e7 | 0.983701 | ||||||||
\(184\) | −9.45088e7 | − | 2.87747e7i | −1.11843 | − | 0.340525i | ||||
\(185\) | −1.35619e7 | − | 7.82995e6i | −0.157477 | − | 0.0909197i | ||||
\(186\) | 1.57722e7 | + | 6.16277e7i | 0.179720 | + | 0.702233i | ||||
\(187\) | −5.95126e6 | − | 3.43596e6i | −0.0665523 | − | 0.0384240i | ||||
\(188\) | −1.05784e6 | − | 1.93131e6i | −0.0116109 | − | 0.0211982i | ||||
\(189\) | − | 4.26308e8i | − | 4.59311i | ||||||
\(190\) | 5.44037e6 | + | 1.92781e7i | 0.0575428 | + | 0.203904i | ||||
\(191\) | 1.13023e8i | 1.17368i | 0.809703 | + | 0.586840i | \(0.199628\pi\) | ||||
−0.809703 | + | 0.586840i | \(0.800372\pi\) | |||||||
\(192\) | 1.49838e8 | + | 1.00564e8i | 1.52781 | + | 1.02538i | ||||
\(193\) | −1.22910e7 | − | 7.09623e6i | −0.123066 | − | 0.0710522i | 0.437203 | − | 0.899363i | \(-0.355969\pi\) |
−0.560269 | + | 0.828311i | \(0.689302\pi\) | |||||||
\(194\) | 1.44712e8 | − | 3.70359e7i | 1.42298 | − | 0.364180i | ||||
\(195\) | −3.73830e7 | − | 2.15831e7i | −0.361038 | − | 0.208445i | ||||
\(196\) | −5.32580e6 | + | 2.36663e8i | −0.0505229 | + | 2.24509i | ||||
\(197\) | 6.31973e7 | 0.588934 | 0.294467 | − | 0.955662i | \(-0.404858\pi\) | ||||
0.294467 | + | 0.955662i | \(0.404858\pi\) | |||||||
\(198\) | 4.24401e7 | − | 1.51548e8i | 0.388551 | − | 1.38747i | ||||
\(199\) | −1.86301e7 | + | 1.07561e7i | −0.167583 | + | 0.0967540i | −0.581446 | − | 0.813585i | \(-0.697513\pi\) |
0.413863 | + | 0.910339i | \(0.364179\pi\) | |||||||
\(200\) | −3.14737e7 | + | 1.03373e8i | −0.278191 | + | 0.913701i | ||||
\(201\) | −3.05205e8 | −2.65097 | ||||||||
\(202\) | 355128. | + | 99451.5i | 0.00303149 | + | 0.000848949i | ||||
\(203\) | −1.26756e8 | − | 2.19548e8i | −1.06349 | − | 1.84201i | ||||
\(204\) | −2.48979e7 | + | 1.36373e7i | −0.205333 | + | 0.112467i | ||||
\(205\) | −3.23939e7 | + | 1.87026e7i | −0.262618 | + | 0.151623i | ||||
\(206\) | 8.86259e7 | − | 8.66540e7i | 0.706359 | − | 0.690642i | ||||
\(207\) | 3.08237e8 | + | 1.77961e8i | 2.41540 | + | 1.39453i | ||||
\(208\) | 1.23196e8 | − | 6.39182e7i | 0.949241 | − | 0.492496i | ||||
\(209\) | 1.95304e6 | + | 7.96895e7i | 0.0147978 | + | 0.603795i | ||||
\(210\) | 2.54175e7 | − | 9.07626e7i | 0.189394 | − | 0.676300i | ||||
\(211\) | 1.41621e7 | − | 2.45296e7i | 0.103786 | − | 0.179763i | −0.809455 | − | 0.587181i | \(-0.800238\pi\) |
0.913242 | + | 0.407418i | \(0.133571\pi\) | |||||||
\(212\) | −9.13543e7 | − | 1.66787e8i | −0.658496 | − | 1.20223i | ||||
\(213\) | 5.56252e7 | + | 9.63457e7i | 0.394406 | + | 0.683131i | ||||
\(214\) | 2.49886e7 | − | 2.44326e7i | 0.174299 | − | 0.170421i | ||||
\(215\) | 1.12505e7 | − | 6.49549e6i | 0.0772037 | − | 0.0445736i | ||||
\(216\) | −2.57849e8 | − | 2.75869e8i | −1.74091 | − | 1.86258i | ||||
\(217\) | 1.06832e8i | 0.709727i | ||||||||
\(218\) | −6.66009e7 | + | 1.70450e7i | −0.435394 | + | 0.111429i | ||||
\(219\) | −1.97288e8 | − | 3.41713e8i | −1.26925 | − | 2.19840i | ||||
\(220\) | 1.04962e7 | − | 1.72705e7i | 0.0664586 | − | 0.109352i | ||||
\(221\) | 2.18336e7i | 0.136067i | ||||||||
\(222\) | −2.49402e8 | + | 6.38287e7i | −1.52990 | + | 0.391544i | ||||
\(223\) | −6.97549e7 | + | 1.20819e8i | −0.421219 | + | 0.729572i | −0.996059 | − | 0.0886936i | \(-0.971731\pi\) |
0.574840 | + | 0.818266i | \(0.305064\pi\) | |||||||
\(224\) | 2.01905e8 | + | 2.26000e8i | 1.20027 | + | 1.34351i | ||||
\(225\) | 1.94653e8 | − | 3.37149e8i | 1.13926 | − | 1.97325i | ||||
\(226\) | −9.00535e7 | − | 9.21028e7i | −0.518945 | − | 0.530754i | ||||
\(227\) | 2.62502e8 | 1.48951 | 0.744754 | − | 0.667339i | \(-0.232567\pi\) | ||||
0.744754 | + | 0.667339i | \(0.232567\pi\) | |||||||
\(228\) | 2.85510e8 | + | 1.64078e8i | 1.59533 | + | 0.916806i | ||||
\(229\) | −1.78555e8 | −0.982533 | −0.491267 | − | 0.871009i | \(-0.663466\pi\) | ||||
−0.491267 | + | 0.871009i | \(0.663466\pi\) | |||||||
\(230\) | 3.19533e7 | + | 3.26805e7i | 0.173169 | + | 0.177109i | ||||
\(231\) | 1.87543e8 | − | 3.24834e8i | 1.00106 | − | 1.73388i | ||||
\(232\) | −2.14817e8 | − | 6.54044e7i | −1.12943 | − | 0.343874i | ||||
\(233\) | −1.26779e8 | + | 2.19587e8i | −0.656599 | + | 1.13726i | 0.324891 | + | 0.945752i | \(0.394672\pi\) |
−0.981490 | + | 0.191512i | \(0.938661\pi\) | |||||||
\(234\) | −4.84413e8 | + | 1.23974e8i | −2.47150 | + | 0.632524i | ||||
\(235\) | 1.01877e6i | 0.00512079i | ||||||||
\(236\) | 2.09043e8 | + | 1.27046e8i | 1.03525 | + | 0.629171i | ||||
\(237\) | 2.82523e7 | + | 4.89344e7i | 0.137859 | + | 0.238778i | ||||
\(238\) | −4.61857e7 | + | 1.18202e7i | −0.222069 | + | 0.0568335i | ||||
\(239\) | 1.79084e8i | 0.848526i | 0.905539 | + | 0.424263i | \(0.139467\pi\) | ||||
−0.905539 | + | 0.424263i | \(0.860533\pi\) | |||||||
\(240\) | −3.84491e7 | − | 7.41071e7i | −0.179534 | − | 0.346035i | ||||
\(241\) | 1.20171e8 | − | 6.93808e7i | 0.553019 | − | 0.319286i | −0.197320 | − | 0.980339i | \(-0.563224\pi\) |
0.750339 | + | 0.661053i | \(0.229890\pi\) | |||||||
\(242\) | −1.00136e8 | + | 9.79077e7i | −0.454188 | + | 0.444082i | ||||
\(243\) | 1.89297e8 | + | 3.27873e8i | 0.846297 | + | 1.46583i | ||||
\(244\) | 1.06399e8 | − | 5.82778e7i | 0.468892 | − | 0.256826i | ||||
\(245\) | 5.47596e7 | − | 9.48464e7i | 0.237891 | − | 0.412040i | ||||
\(246\) | −1.65825e8 | + | 5.92141e8i | −0.710196 | + | 2.53602i | ||||
\(247\) | 2.16167e8 | − | 1.31969e8i | 0.912747 | − | 0.557229i | ||||
\(248\) | 6.46163e7 | + | 6.91320e7i | 0.269005 | + | 0.287805i | ||||
\(249\) | 2.07416e8 | + | 1.19752e8i | 0.851420 | + | 0.491568i | ||||
\(250\) | 7.31717e7 | − | 7.15436e7i | 0.296178 | − | 0.289588i | ||||
\(251\) | 1.80066e8 | − | 1.03961e8i | 0.718745 | − | 0.414968i | −0.0955456 | − | 0.995425i | \(-0.530460\pi\) |
0.814291 | + | 0.580457i | \(0.197126\pi\) | |||||||
\(252\) | −5.24499e8 | − | 9.57586e8i | −2.06463 | − | 3.76943i | ||||
\(253\) | 9.09435e7 | + | 1.57519e8i | 0.353061 | + | 0.611520i | ||||
\(254\) | 3.02812e8 | + | 8.48006e7i | 1.15946 | + | 0.324699i | ||||
\(255\) | 1.31337e7 | 0.0496016 | ||||||||
\(256\) | 2.67349e8 | + | 2.41265e7i | 0.995953 | + | 0.0898783i | ||||
\(257\) | −4.52085e8 | + | 2.61011e8i | −1.66132 | + | 0.959166i | −0.689240 | + | 0.724533i | \(0.742055\pi\) |
−0.972084 | + | 0.234632i | \(0.924611\pi\) | |||||||
\(258\) | 5.75917e7 | − | 2.05653e8i | 0.208781 | − | 0.745530i | ||||
\(259\) | −4.32338e8 | −1.54623 | ||||||||
\(260\) | −6.41949e7 | − | 1.44463e6i | −0.226514 | − | 0.00509740i | ||||
\(261\) | 7.00617e8 | + | 4.04501e8i | 2.43915 | + | 1.40824i | ||||
\(262\) | −7.33582e7 | + | 1.87744e7i | −0.251996 | + | 0.0644927i | ||||
\(263\) | 1.94202e6 | + | 1.12123e6i | 0.00658278 | + | 0.00380057i | 0.503288 | − | 0.864119i | \(-0.332124\pi\) |
−0.496705 | + | 0.867919i | \(0.665457\pi\) | |||||||
\(264\) | −7.51120e7 | − | 3.23638e8i | −0.251244 | − | 1.08254i | ||||
\(265\) | 8.79803e7i | 0.290419i | ||||||||
\(266\) | 3.96189e8 | + | 3.85824e8i | 1.29067 | + | 1.25691i | ||||
\(267\) | 7.00102e8i | 2.25098i | ||||||||
\(268\) | −3.98186e8 | + | 2.18098e8i | −1.26361 | + | 0.692119i | ||||
\(269\) | 4.22102e7 | + | 2.43701e7i | 0.132216 | + | 0.0763350i | 0.564649 | − | 0.825331i | \(-0.309011\pi\) |
−0.432433 | + | 0.901666i | \(0.642345\pi\) | |||||||
\(270\) | 4.33146e7 | + | 1.69246e8i | 0.133925 | + | 0.523292i | ||||
\(271\) | −3.62214e8 | − | 2.09124e8i | −1.10553 | − | 0.638281i | −0.167865 | − | 0.985810i | \(-0.553687\pi\) |
−0.937669 | + | 0.347529i | \(0.887021\pi\) | |||||||
\(272\) | −2.27379e7 | + | 3.55840e7i | −0.0685109 | + | 0.107217i | ||||
\(273\) | −1.19173e9 | −3.54494 | ||||||||
\(274\) | 9.76376e7 | + | 2.73428e7i | 0.286741 | + | 0.0803001i | ||||
\(275\) | 1.72294e8 | − | 9.94737e7i | 0.499579 | − | 0.288432i | ||||
\(276\) | 7.51190e8 | + | 1.69046e7i | 2.15064 | + | 0.0483975i | ||||
\(277\) | 6.98664e7 | 0.197510 | 0.0987551 | − | 0.995112i | \(-0.468514\pi\) | ||||
0.0987551 | + | 0.995112i | \(0.468514\pi\) | |||||||
\(278\) | −8.04806e7 | + | 2.87386e8i | −0.224664 | + | 0.802247i | ||||
\(279\) | −1.70460e8 | − | 2.95245e8i | −0.469902 | − | 0.813894i | ||||
\(280\) | −3.16977e7 | − | 1.36577e8i | −0.0862928 | − | 0.371813i | ||||
\(281\) | 2.28616e8 | − | 1.31992e8i | 0.614660 | − | 0.354874i | −0.160127 | − | 0.987096i | \(-0.551190\pi\) |
0.774787 | + | 0.632222i | \(0.217857\pi\) | |||||||
\(282\) | 1.17086e7 | + | 1.19751e7i | 0.0310909 | + | 0.0317985i | ||||
\(283\) | −2.53639e8 | − | 1.46438e8i | −0.665217 | − | 0.384063i | 0.129045 | − | 0.991639i | \(-0.458809\pi\) |
−0.794262 | + | 0.607576i | \(0.792142\pi\) | |||||||
\(284\) | 1.41420e8 | + | 8.59480e7i | 0.366350 | + | 0.222649i | ||||
\(285\) | −7.93843e7 | − | 1.30032e8i | −0.203132 | − | 0.332732i | ||||
\(286\) | −2.46062e8 | − | 6.89082e7i | −0.621962 | − | 0.174177i | ||||
\(287\) | −5.16342e8 | + | 8.94330e8i | −1.28929 | + | 2.23312i | ||||
\(288\) | −9.18597e8 | − | 3.02426e8i | −2.26596 | − | 0.746011i | ||||
\(289\) | 2.01848e8 | + | 3.49611e8i | 0.491905 | + | 0.852005i | ||||
\(290\) | 7.26294e7 | + | 7.42822e7i | 0.174872 | + | 0.178851i | ||||
\(291\) | −9.83898e8 | + | 5.68054e8i | −2.34059 | + | 1.35134i | ||||
\(292\) | −5.01579e8 | − | 3.04835e8i | −1.17896 | − | 0.716514i | ||||
\(293\) | 2.13589e8i | 0.496068i | 0.968751 | + | 0.248034i | \(0.0797845\pi\) | ||||
−0.968751 | + | 0.248034i | \(0.920216\pi\) | |||||||
\(294\) | −4.46393e8 | − | 1.74422e9i | −1.02448 | − | 4.00300i | ||||
\(295\) | −5.65868e7 | − | 9.80111e7i | −0.128333 | − | 0.222279i | ||||
\(296\) | −2.79771e8 | + | 2.61496e8i | −0.627020 | + | 0.586063i | ||||
\(297\) | 6.95221e8i | 1.53984i | ||||||||
\(298\) | 8.91768e7 | + | 3.48446e8i | 0.195207 | + | 0.762744i | ||||
\(299\) | 2.88947e8 | − | 5.00471e8i | 0.625128 | − | 1.08275i | ||||
\(300\) | 1.84902e7 | − | 8.21650e8i | 0.0395382 | − | 1.75696i | ||||
\(301\) | 1.79327e8 | − | 3.10604e8i | 0.379021 | − | 0.656484i | ||||
\(302\) | 6.33807e8 | − | 6.19704e8i | 1.32414 | − | 1.29467i | ||||
\(303\) | −2.80490e6 | −0.00579253 | ||||||||
\(304\) | 4.89741e8 | + | 1.00395e7i | 0.999790 | + | 0.0204953i | ||||
\(305\) | −5.61255e7 | −0.113269 | ||||||||
\(306\) | 1.08781e8 | − | 1.06360e8i | 0.217034 | − | 0.212204i | ||||
\(307\) | 3.01821e8 | − | 5.22769e8i | 0.595340 | − | 1.03116i | −0.398159 | − | 0.917317i | \(-0.630351\pi\) |
0.993499 | − | 0.113843i | \(-0.0363160\pi\) | |||||||
\(308\) | 1.25529e7 | − | 5.57813e8i | 0.0244802 | − | 1.08783i | ||||
\(309\) | −4.71359e8 | + | 8.16418e8i | −0.908860 | + | 1.57419i | ||||
\(310\) | −1.08545e7 | − | 4.24125e7i | −0.0206940 | − | 0.0808590i | ||||
\(311\) | − | 1.40133e8i | − | 0.264167i | −0.991239 | − | 0.132084i | \(-0.957833\pi\) | ||
0.991239 | − | 0.132084i | \(-0.0421667\pi\) | |||||||
\(312\) | −7.71181e8 | + | 7.20808e8i | −1.43752 | + | 1.34363i | ||||
\(313\) | 7.56803e7 | + | 1.31082e8i | 0.139501 | + | 0.241623i | 0.927308 | − | 0.374299i | \(-0.122117\pi\) |
−0.787807 | + | 0.615923i | \(0.788783\pi\) | |||||||
\(314\) | −1.07772e8 | − | 4.21102e8i | −0.196449 | − | 0.767598i | ||||
\(315\) | 5.05128e8i | 0.910572i | ||||||||
\(316\) | 7.18277e7 | + | 4.36533e7i | 0.128052 | + | 0.0778238i | ||||
\(317\) | 8.34537e8 | − | 4.81820e8i | 1.47143 | − | 0.849528i | 0.471941 | − | 0.881630i | \(-0.343554\pi\) |
0.999485 | + | 0.0321025i | \(0.0102203\pi\) | |||||||
\(318\) | 1.01115e9 | + | 1.03416e9i | 1.76328 | + | 1.80341i | ||||
\(319\) | 2.06713e8 | + | 3.58037e8i | 0.356533 | + | 0.617534i | ||||
\(320\) | −1.03119e8 | − | 6.92083e7i | −0.175920 | − | 0.118068i | ||||
\(321\) | −1.32903e8 | + | 2.30194e8i | −0.224267 | + | 0.388442i | ||||
\(322\) | 1.21510e9 | + | 3.40281e8i | 2.02823 | + | 0.567993i | ||||
\(323\) | −3.68827e7 | + | 6.76588e7i | −0.0608996 | + | 0.111716i | ||||
\(324\) | 1.20618e9 | + | 7.33055e8i | 1.97017 | + | 1.19737i | ||||
\(325\) | −5.47414e8 | − | 3.16050e8i | −0.884553 | − | 0.510697i | ||||
\(326\) | 2.27485e8 | + | 2.32662e8i | 0.363657 | + | 0.371933i | ||||
\(327\) | 4.52819e8 | − | 2.61435e8i | 0.716156 | − | 0.413473i | ||||
\(328\) | 2.06798e8 | + | 8.91036e8i | 0.323584 | + | 1.39424i | ||||
\(329\) | 1.40630e7 | + | 2.43579e7i | 0.0217718 | + | 0.0377098i | ||||
\(330\) | −4.14508e7 | + | 1.48015e8i | −0.0634941 | + | 0.226729i | ||||
\(331\) | 9.52388e8 | 1.44350 | 0.721749 | − | 0.692155i | \(-0.243339\pi\) | ||||
0.721749 | + | 0.692155i | \(0.243339\pi\) | |||||||
\(332\) | 3.56180e8 | + | 8.01537e6i | 0.534178 | + | 0.0120210i | ||||
\(333\) | 1.19483e9 | − | 6.89835e8i | 1.77317 | − | 1.02374i | ||||
\(334\) | 1.23845e9 | + | 3.46819e8i | 1.81871 | + | 0.509319i | ||||
\(335\) | 2.10043e8 | 0.305247 | ||||||||
\(336\) | −1.94226e9 | − | 1.24109e9i | −2.79331 | − | 1.78491i | ||||
\(337\) | −7.61206e8 | − | 4.39483e8i | −1.08342 | − | 0.625514i | −0.151604 | − | 0.988441i | \(-0.548444\pi\) |
−0.931817 | + | 0.362927i | \(0.881777\pi\) | |||||||
\(338\) | 2.52775e7 | + | 9.87684e7i | 0.0356062 | + | 0.139126i | ||||
\(339\) | 8.48447e8 | + | 4.89851e8i | 1.18284 | + | 0.682913i | ||||
\(340\) | 1.71349e7 | − | 9.38529e6i | 0.0236431 | − | 0.0129501i | ||||
\(341\) | − | 1.74221e8i | − | 0.237936i | ||||||
\(342\) | −1.71054e9 | − | 4.34126e8i | −2.31229 | − | 0.586846i | ||||
\(343\) | − | 1.67718e9i | − | 2.24414i | ||||||
\(344\) | −7.18216e7 | − | 3.09460e8i | −0.0951263 | − | 0.409874i | ||||
\(345\) | −3.01051e8 | − | 1.73812e8i | −0.394706 | − | 0.227884i | ||||
\(346\) | −8.11777e8 | + | 2.07756e8i | −1.05359 | + | 0.269642i | ||||
\(347\) | −2.85064e8 | − | 1.64582e8i | −0.366259 | − | 0.211460i | 0.305564 | − | 0.952172i | \(-0.401155\pi\) |
−0.671823 | + | 0.740712i | \(0.734488\pi\) | |||||||
\(348\) | 1.70744e9 | + | 3.84238e7i | 2.17179 | + | 0.0488734i | ||||
\(349\) | −3.54448e8 | −0.446337 | −0.223169 | − | 0.974780i | \(-0.571640\pi\) | ||||
−0.223169 | + | 0.974780i | \(0.571640\pi\) | |||||||
\(350\) | 3.72199e8 | − | 1.32907e9i | 0.464020 | − | 1.65696i | ||||
\(351\) | 1.91294e9 | − | 1.10443e9i | 2.36116 | − | 1.36322i | ||||
\(352\) | −3.29266e8 | − | 3.68560e8i | −0.402390 | − | 0.450410i | ||||
\(353\) | 4.64217e7 | 0.0561706 | 0.0280853 | − | 0.999606i | \(-0.491059\pi\) | ||||
0.0280853 | + | 0.999606i | \(0.491059\pi\) | |||||||
\(354\) | −1.79158e9 | − | 5.01722e8i | −2.14647 | − | 0.601107i | ||||
\(355\) | −3.82816e7 | − | 6.63056e7i | −0.0454141 | − | 0.0786595i | ||||
\(356\) | 5.00291e8 | + | 9.13389e8i | 0.587689 | + | 1.07295i | ||||
\(357\) | 3.14016e8 | − | 1.81297e8i | 0.365269 | − | 0.210888i | ||||
\(358\) | −8.10759e7 | + | 7.92719e7i | −0.0933902 | + | 0.0913122i | ||||
\(359\) | −7.86326e8 | − | 4.53985e8i | −0.896958 | − | 0.517859i | −0.0207457 | − | 0.999785i | \(-0.506604\pi\) |
−0.876212 | + | 0.481926i | \(0.839937\pi\) | |||||||
\(360\) | 3.05522e8 | + | 3.26874e8i | 0.345131 | + | 0.369251i | ||||
\(361\) | 8.92799e8 | − | 4.37879e7i | 0.998799 | − | 0.0489867i | ||||
\(362\) | −2.12469e8 | + | 7.58697e8i | −0.235404 | + | 0.840598i | ||||
\(363\) | 5.32575e8 | − | 9.22446e8i | 0.584396 | − | 1.01220i | ||||
\(364\) | −1.55479e9 | + | 8.51606e8i | −1.68973 | + | 0.925516i | ||||
\(365\) | 1.35775e8 | + | 2.35169e8i | 0.146148 | + | 0.253136i | ||||
\(366\) | −6.59726e8 | + | 6.45046e8i | −0.703363 | + | 0.687713i | ||||
\(367\) | −3.98729e8 | + | 2.30206e8i | −0.421063 | + | 0.243101i | −0.695532 | − | 0.718495i | \(-0.744831\pi\) |
0.274469 | + | 0.961596i | \(0.411498\pi\) | |||||||
\(368\) | 9.92121e8 | − | 5.14744e8i | 1.03776 | − | 0.538423i | ||||
\(369\) | − | 3.29548e9i | − | 3.41450i | ||||||
\(370\) | 1.71640e8 | − | 4.39272e7i | 0.176162 | − | 0.0450846i | ||||
\(371\) | 1.21448e9 | + | 2.10354e9i | 1.23476 | + | 2.13866i | ||||
\(372\) | −6.15034e8 | − | 3.73787e8i | −0.619439 | − | 0.376464i | ||||
\(373\) | 1.94054e9i | 1.93616i | 0.250636 | + | 0.968081i | \(0.419360\pi\) | ||||
−0.250636 | + | 0.968081i | \(0.580640\pi\) | |||||||
\(374\) | 7.53194e7 | − | 1.92763e7i | 0.0744485 | − | 0.0190534i | ||||
\(375\) | −3.89165e8 | + | 6.74054e8i | −0.381087 | + | 0.660063i | ||||
\(376\) | 2.38330e7 | + | 7.25635e6i | 0.0231218 | + | 0.00703981i | ||||
\(377\) | 6.56771e8 | − | 1.13756e9i | 0.631276 | − | 1.09340i | ||||
\(378\) | 3.37188e9 | + | 3.44862e9i | 3.21108 | + | 3.28415i | ||||
\(379\) | −1.26620e9 | −1.19472 | −0.597358 | − | 0.801975i | \(-0.703783\pi\) | ||||
−0.597358 | + | 0.801975i | \(0.703783\pi\) | |||||||
\(380\) | −1.96490e8 | − | 1.12919e8i | −0.183695 | − | 0.105566i | ||||
\(381\) | −2.39169e9 | −2.21548 | ||||||||
\(382\) | −8.93954e8 | − | 9.14297e8i | −0.820528 | − | 0.839200i | ||||
\(383\) | 1.43747e8 | − | 2.48977e8i | 0.130738 | − | 0.226445i | −0.793223 | − | 0.608931i | \(-0.791599\pi\) |
0.923961 | + | 0.382486i | \(0.124932\pi\) | |||||||
\(384\) | −2.00752e9 | + | 3.71636e8i | −1.80926 | + | 0.334934i | ||||
\(385\) | −1.29068e8 | + | 2.23552e8i | −0.115267 | + | 0.199649i | ||||
\(386\) | 1.55556e8 | − | 3.98110e7i | 0.137667 | − | 0.0352328i | ||||
\(387\) | 1.14453e9i | 1.00378i | ||||||||
\(388\) | −8.77715e8 | + | 1.44420e9i | −0.762856 | + | 1.25521i | ||||
\(389\) | −5.12031e8 | − | 8.86863e8i | −0.441034 | − | 0.763894i | 0.556732 | − | 0.830692i | \(-0.312055\pi\) |
−0.997767 | + | 0.0667980i | \(0.978722\pi\) | |||||||
\(390\) | 4.73120e8 | − | 1.21084e8i | 0.403874 | − | 0.103362i | ||||
\(391\) | 1.75829e8i | 0.148756i | ||||||||
\(392\) | −1.82880e9 | − | 1.95661e9i | −1.53343 | − | 1.64060i | ||||
\(393\) | 4.98762e8 | − | 2.87960e8i | 0.414495 | − | 0.239309i | ||||
\(394\) | −5.11234e8 | + | 4.99859e8i | −0.421098 | + | 0.411728i | ||||
\(395\) | −1.94434e7 | − | 3.36769e7i | −0.0158738 | − | 0.0274943i | ||||
\(396\) | 8.55350e8 | + | 1.56163e9i | 0.692167 | + | 1.26370i | ||||
\(397\) | −1.90515e8 | + | 3.29981e8i | −0.152813 | + | 0.264681i | −0.932261 | − | 0.361787i | \(-0.882167\pi\) |
0.779447 | + | 0.626468i | \(0.215500\pi\) | |||||||
\(398\) | 6.56328e7 | − | 2.34366e8i | 0.0521831 | − | 0.186339i | ||||
\(399\) | −3.69298e9 | − | 2.01315e9i | −2.91053 | − | 1.58661i | ||||
\(400\) | −5.63025e8 | − | 1.08518e9i | −0.439863 | − | 0.847797i | ||||
\(401\) | 9.06756e8 | + | 5.23516e8i | 0.702239 | + | 0.405438i | 0.808181 | − | 0.588934i | \(-0.200452\pi\) |
−0.105942 | + | 0.994372i | \(0.533786\pi\) | |||||||
\(402\) | 2.46895e9 | − | 2.41401e9i | 1.89549 | − | 1.85331i | ||||
\(403\) | −4.79377e8 | + | 2.76768e8i | −0.364846 | + | 0.210644i | ||||
\(404\) | −3.65942e6 | + | 2.00437e6i | −0.00276107 | + | 0.00151232i | ||||
\(405\) | −3.26505e8 | − | 5.65524e8i | −0.244229 | − | 0.423018i | ||||
\(406\) | 2.76190e9 | + | 7.73453e8i | 2.04817 | + | 0.573579i | ||||
\(407\) | 7.05055e8 | 0.518373 | ||||||||
\(408\) | 9.35471e7 | − | 3.07249e8i | 0.0681898 | − | 0.223965i | ||||
\(409\) | −2.20333e8 | + | 1.27209e8i | −0.159238 | + | 0.0919363i | −0.577502 | − | 0.816390i | \(-0.695972\pi\) |
0.418263 | + | 0.908326i | \(0.362639\pi\) | |||||||
\(410\) | 1.14122e8 | − | 4.07514e8i | 0.0817759 | − | 0.292011i | ||||
\(411\) | −7.71168e8 | −0.547902 | ||||||||
\(412\) | −3.15496e7 | + | 1.40197e9i | −0.0222256 | + | 0.987642i | ||||
\(413\) | −2.70589e9 | − | 1.56225e9i | −1.89010 | − | 1.09125i | ||||
\(414\) | −3.90106e9 | + | 9.98387e8i | −2.70197 | + | 0.691509i | ||||
\(415\) | −1.42745e8 | − | 8.24136e7i | −0.0980373 | − | 0.0566019i | ||||
\(416\) | −4.91036e8 | + | 1.49149e9i | −0.334416 | + | 1.01576i | ||||
\(417\) | − | 2.26985e9i | − | 1.53293i | ||||||
\(418\) | −6.46103e8 | − | 6.29200e8i | −0.432698 | − | 0.421378i | ||||
\(419\) | 2.39950e9i | 1.59357i | 0.604261 | + | 0.796786i | \(0.293468\pi\) | ||||
−0.604261 | + | 0.796786i | \(0.706532\pi\) | |||||||
\(420\) | 5.12272e8 | + | 9.35263e8i | 0.337387 | + | 0.615972i | ||||
\(421\) | −4.60285e8 | − | 2.65746e8i | −0.300635 | − | 0.173572i | 0.342093 | − | 0.939666i | \(-0.388864\pi\) |
−0.642728 | + | 0.766094i | \(0.722198\pi\) | |||||||
\(422\) | 7.94518e7 | + | 3.10447e8i | 0.0514648 | + | 0.201092i | ||||
\(423\) | −7.77305e7 | − | 4.48778e7i | −0.0499345 | − | 0.0288297i | ||||
\(424\) | 2.05821e9 | + | 6.26656e8i | 1.31132 | + | 0.399253i | ||||
\(425\) | 1.92322e8 | 0.121525 | ||||||||
\(426\) | −1.21203e9 | − | 3.39420e8i | −0.759588 | − | 0.212718i | ||||
\(427\) | −1.34192e9 | + | 7.74755e8i | −0.834118 | + | 0.481578i | ||||
\(428\) | −8.89562e6 | + | 3.95295e8i | −0.00548432 | + | 0.243707i | ||||
\(429\) | 1.94347e9 | 1.18844 | ||||||||
\(430\) | −3.96349e7 | + | 1.41531e8i | −0.0240402 | + | 0.0858445i | ||||
\(431\) | 5.45978e8 | + | 9.45661e8i | 0.328477 | + | 0.568938i | 0.982210 | − | 0.187787i | \(-0.0601315\pi\) |
−0.653733 | + | 0.756725i | \(0.726798\pi\) | |||||||
\(432\) | 4.26785e9 | + | 1.92182e8i | 2.54692 | + | 0.114689i | ||||
\(433\) | 1.58798e9 | − | 9.16822e8i | 0.940022 | − | 0.542722i | 0.0500548 | − | 0.998746i | \(-0.484060\pi\) |
0.889967 | + | 0.456024i | \(0.150727\pi\) | |||||||
\(434\) | −8.44985e8 | − | 8.64214e8i | −0.496175 | − | 0.507466i | ||||
\(435\) | −6.84284e8 | − | 3.95072e8i | −0.398588 | − | 0.230125i | ||||
\(436\) | 4.03950e8 | − | 6.64665e8i | 0.233413 | − | 0.384061i | ||||
\(437\) | 1.74083e9 | − | 1.06277e9i | 0.997864 | − | 0.609193i | ||||
\(438\) | 4.29874e9 | + | 1.20384e9i | 2.44445 | + | 0.684554i | ||||
\(439\) | −9.00299e8 | + | 1.55936e9i | −0.507880 | + | 0.879674i | 0.492079 | + | 0.870551i | \(0.336237\pi\) |
−0.999958 | + | 0.00912280i | \(0.997096\pi\) | |||||||
\(440\) | 5.16925e7 | + | 2.22729e8i | 0.0289296 | + | 0.124650i | ||||
\(441\) | 4.82444e9 | + | 8.35617e9i | 2.67862 | + | 4.63951i | ||||
\(442\) | −1.72693e8 | − | 1.76623e8i | −0.0951253 | − | 0.0972900i | ||||
\(443\) | 1.04525e9 | − | 6.03475e8i | 0.571224 | − | 0.329796i | −0.186414 | − | 0.982471i | \(-0.559687\pi\) |
0.757638 | + | 0.652675i | \(0.226353\pi\) | |||||||
\(444\) | 1.51268e9 | − | 2.48898e9i | 0.820176 | − | 1.34953i | ||||
\(445\) | − | 4.81813e8i | − | 0.259190i | ||||||
\(446\) | −3.91336e8 | − | 1.52909e9i | −0.208871 | − | 0.816133i | ||||
\(447\) | −1.36779e9 | − | 2.36908e9i | −0.724341 | − | 1.25459i | ||||
\(448\) | −3.42085e9 | − | 2.31258e8i | −1.79747 | − | 0.121513i | ||||
\(449\) | − | 1.79538e9i | − | 0.936039i | −0.883718 | − | 0.468019i | \(-0.844968\pi\) | ||
0.883718 | − | 0.468019i | \(-0.155032\pi\) | |||||||
\(450\) | 1.09203e9 | + | 4.26697e9i | 0.564927 | + | 2.20737i | ||||
\(451\) | 8.42048e8 | − | 1.45847e9i | 0.432234 | − | 0.748651i | ||||
\(452\) | 1.45697e9 | + | 3.27874e7i | 0.742108 | + | 0.0167002i | ||||
\(453\) | −3.37091e9 | + | 5.83860e9i | −1.70374 | + | 2.95097i | ||||
\(454\) | −2.12351e9 | + | 2.07626e9i | −1.06502 | + | 1.04133i | ||||
\(455\) | 8.20154e8 | 0.408184 | ||||||||
\(456\) | −3.60740e9 | + | 9.30937e8i | −1.78163 | + | 0.459773i | ||||
\(457\) | 3.42415e9 | 1.67821 | 0.839104 | − | 0.543971i | \(-0.183080\pi\) | ||||
0.839104 | + | 0.543971i | \(0.183080\pi\) | |||||||
\(458\) | 1.44442e9 | − | 1.41228e9i | 0.702528 | − | 0.686896i | ||||
\(459\) | −3.36034e8 | + | 5.82028e8i | −0.162195 | + | 0.280931i | ||||
\(460\) | −5.16973e8 | − | 1.16338e7i | −0.247637 | − | 0.00557275i | ||||
\(461\) | −1.82646e9 | + | 3.16351e9i | −0.868272 | + | 1.50389i | −0.00451098 | + | 0.999990i | \(0.501436\pi\) |
−0.863761 | + | 0.503902i | \(0.831897\pi\) | |||||||
\(462\) | 1.05215e9 | + | 4.11111e9i | 0.496397 | + | 1.93960i | ||||
\(463\) | − | 1.42527e9i | − | 0.667363i | −0.942686 | − | 0.333682i | \(-0.891709\pi\) | ||
0.942686 | − | 0.333682i | \(-0.108291\pi\) | |||||||
\(464\) | 2.25507e9 | − | 1.17000e9i | 1.04797 | − | 0.543718i | ||||
\(465\) | 1.66486e8 | + | 2.88362e8i | 0.0767878 | + | 0.133000i | ||||
\(466\) | −7.11248e8 | − | 2.77910e9i | −0.325590 | − | 1.27220i | ||||
\(467\) | − | 3.97091e6i | − | 0.00180418i | −1.00000 | 0.000902092i | \(-0.999713\pi\) | |||
1.00000 | 0.000902092i | \(-0.000287145\pi\) | ||||||||
\(468\) | 2.93808e9 | − | 4.83435e9i | 1.32496 | − | 2.18011i | ||||
\(469\) | 5.02197e9 | − | 2.89944e9i | 2.24786 | − | 1.29780i | ||||
\(470\) | −8.05793e6 | − | 8.24130e6i | −0.00357998 | − | 0.00366145i | ||||
\(471\) | 1.65299e9 | + | 2.86307e9i | 0.728951 | + | 1.26258i | ||||
\(472\) | −2.69592e9 | + | 6.25688e8i | −1.18008 | + | 0.273880i | ||||
\(473\) | −2.92446e8 | + | 5.06532e8i | −0.127067 | + | 0.220086i | ||||
\(474\) | −6.15593e8 | − | 1.72393e8i | −0.265503 | − | 0.0743525i | ||||
\(475\) | −1.16246e9 | − | 1.90411e9i | −0.497678 | − | 0.815203i | ||||
\(476\) | 2.80127e8 | − | 4.60925e8i | 0.119050 | − | 0.195887i | ||||
\(477\) | −6.71278e9 | − | 3.87563e9i | −2.83197 | − | 1.63504i | ||||
\(478\) | −1.41647e9 | − | 1.44870e9i | −0.593211 | − | 0.606710i | ||||
\(479\) | 1.51771e9 | − | 8.76252e8i | 0.630980 | − | 0.364296i | −0.150152 | − | 0.988663i | \(-0.547976\pi\) |
0.781131 | + | 0.624367i | \(0.214643\pi\) | |||||||
\(480\) | 8.97183e8 | + | 2.95376e8i | 0.370285 | + | 0.121908i | ||||
\(481\) | −1.12006e9 | − | 1.93999e9i | −0.458915 | − | 0.794863i | ||||
\(482\) | −4.23356e8 | + | 1.51175e9i | −0.172203 | + | 0.614914i | ||||
\(483\) | −9.59720e9 | −3.87551 | ||||||||
\(484\) | 3.56470e7 | − | 1.58405e9i | 0.0142910 | − | 0.635052i | ||||
\(485\) | 6.77124e8 | − | 3.90938e8i | 0.269508 | − | 0.155601i | ||||
\(486\) | −4.12463e9 | − | 1.15508e9i | −1.62989 | − | 0.456440i | ||||
\(487\) | 3.65869e9 | 1.43541 | 0.717703 | − | 0.696349i | \(-0.245194\pi\) | ||||
0.717703 | + | 0.696349i | \(0.245194\pi\) | |||||||
\(488\) | −3.99764e8 | + | 1.31300e9i | −0.155716 | + | 0.511440i | ||||
\(489\) | −2.14327e9 | − | 1.23742e9i | −0.828889 | − | 0.478559i | ||||
\(490\) | 3.07210e8 | + | 1.20038e9i | 0.117964 | + | 0.460927i | ||||
\(491\) | 4.05199e8 | + | 2.33942e8i | 0.154484 | + | 0.0891913i | 0.575249 | − | 0.817978i | \(-0.304905\pi\) |
−0.420765 | + | 0.907170i | \(0.638238\pi\) | |||||||
\(492\) | −3.34209e9 | − | 6.10171e9i | −1.26515 | − | 2.30980i | ||||
\(493\) | 3.99657e8i | 0.150218i | ||||||||
\(494\) | −7.04871e8 | + | 2.77734e9i | −0.263066 | + | 1.03654i | ||||
\(495\) | − | 8.23760e8i | − | 0.305269i | ||||||
\(496\) | −1.06951e9 | − | 4.81604e7i | −0.393550 | − | 0.0177217i | ||||
\(497\) | −1.83056e9 | − | 1.05688e9i | −0.668863 | − | 0.386168i | ||||
\(498\) | −2.62506e9 | + | 6.71825e8i | −0.952439 | + | 0.243755i | ||||
\(499\) | 1.92005e9 | + | 1.10854e9i | 0.691769 | + | 0.399393i | 0.804274 | − | 0.594258i | \(-0.202554\pi\) |
−0.112506 | + | 0.993651i | \(0.535888\pi\) | |||||||
\(500\) | −2.60481e7 | + | 1.15750e9i | −0.00931926 | + | 0.414120i | ||||
\(501\) | −9.78158e9 | −3.47518 | ||||||||
\(502\) | −6.34364e8 | + | 2.26523e9i | −0.223808 | + | 0.799189i | ||||
\(503\) | −1.36360e9 | + | 7.87278e8i | −0.477750 | + | 0.275829i | −0.719478 | − | 0.694515i | \(-0.755619\pi\) |
0.241728 | + | 0.970344i | \(0.422286\pi\) | |||||||
\(504\) | 1.18170e10 | + | 3.59786e9i | 4.11148 | + | 1.25181i | ||||
\(505\) | 1.93035e6 | 0.000666984 | ||||||||
\(506\) | −1.98158e9 | − | 5.54929e8i | −0.679962 | − | 0.190419i | ||||
\(507\) | −3.87705e8 | − | 6.71525e8i | −0.132122 | − | 0.228841i | ||||
\(508\) | −3.12033e9 | + | 1.70910e9i | −1.05603 | + | 0.578420i | ||||
\(509\) | 2.05689e9 | − | 1.18755e9i | 0.691352 | − | 0.399153i | −0.112766 | − | 0.993622i | \(-0.535971\pi\) |
0.804118 | + | 0.594469i | \(0.202638\pi\) | |||||||
\(510\) | −1.06245e8 | + | 1.03881e8i | −0.0354660 | + | 0.0346768i | ||||
\(511\) | 6.49253e9 | + | 3.74846e9i | 2.15249 | + | 1.24274i | ||||
\(512\) | −2.35355e9 | + | 1.91942e9i | −0.774958 | + | 0.632013i | ||||
\(513\) | 7.79356e9 | − | 1.91005e8i | 2.54874 | − | 0.0624647i | ||||
\(514\) | 1.59267e9 | − | 5.68722e9i | 0.517315 | − | 1.84726i | ||||
\(515\) | 3.24392e8 | − | 5.61863e8i | 0.104651 | − | 0.181261i | ||||
\(516\) | 1.16072e9 | + | 2.11915e9i | 0.371924 | + | 0.679027i | ||||
\(517\) | −2.29339e7 | − | 3.97228e7i | −0.00729897 | − | 0.0126422i | ||||
\(518\) | 3.49739e9 | − | 3.41958e9i | 1.10558 | − | 1.08098i | ||||
\(519\) | 5.51926e9 | − | 3.18655e9i | 1.73299 | − | 1.00054i | ||||
\(520\) | 5.30731e8 | − | 4.96063e8i | 0.165525 | − | 0.154713i | ||||
\(521\) | − | 1.42916e9i | − | 0.442740i | −0.975190 | − | 0.221370i | \(-0.928947\pi\) | ||
0.975190 | − | 0.221370i | \(-0.0710529\pi\) | |||||||
\(522\) | −8.86703e9 | + | 2.26932e9i | −2.72855 | + | 0.698310i | ||||
\(523\) | 1.40534e9 | + | 2.43412e9i | 0.429561 | + | 0.744022i | 0.996834 | − | 0.0795079i | \(-0.0253349\pi\) |
−0.567273 | + | 0.823530i | \(0.692002\pi\) | |||||||
\(524\) | 4.44935e8 | − | 7.32102e8i | 0.135094 | − | 0.222286i | ||||
\(525\) | 1.04974e10i | 3.16609i | ||||||||
\(526\) | −2.45783e7 | + | 6.29027e6i | −0.00736381 | + | 0.00188460i | ||||
\(527\) | 8.42092e7 | − | 1.45855e8i | 0.0250624 | − | 0.0434093i | ||||
\(528\) | 3.16743e9 | + | 2.02396e9i | 0.936457 | + | 0.598390i | ||||
\(529\) | 6.24527e8 | − | 1.08171e9i | 0.183424 | − | 0.317700i | ||||
\(530\) | −6.95880e8 | − | 7.11716e8i | −0.203034 | − | 0.207654i | ||||
\(531\) | 9.97083e9 | 2.89002 | ||||||||
\(532\) | −6.25664e9 | + | 1.25336e7i | −1.80157 | + | 0.00360898i | ||||
\(533\) | −5.35074e9 | −1.53062 | ||||||||
\(534\) | −5.53745e9 | − | 5.66347e9i | −1.57368 | − | 1.60949i | ||||
\(535\) | 9.14643e7 | − | 1.58421e8i | 0.0258234 | − | 0.0447274i | ||||
\(536\) | 1.49607e9 | − | 4.91375e9i | 0.419639 | − | 1.37828i | ||||
\(537\) | 4.31204e8 | − | 7.46868e8i | 0.120164 | − | 0.208129i | ||||
\(538\) | −5.34214e8 | + | 1.36720e8i | −0.147903 | + | 0.0378524i | ||||
\(539\) | 4.93088e9i | 1.35632i | ||||||||
\(540\) | −1.68904e9 | − | 1.02651e9i | −0.461596 | − | 0.280535i | ||||
\(541\) | 3.09682e9 | + | 5.36384e9i | 0.840863 | + | 1.45642i | 0.889166 | + | 0.457584i | \(0.151285\pi\) |
−0.0483037 | + | 0.998833i | \(0.515382\pi\) | |||||||
\(542\) | 4.58419e9 | − | 1.17322e9i | 1.23670 | − | 0.316506i | ||||
\(543\) | − | 5.99240e9i | − | 1.60621i | ||||||
\(544\) | −9.75131e7 | − | 4.67702e8i | −0.0259697 | − | 0.124558i | ||||
\(545\) | −3.11632e8 | + | 1.79921e8i | −0.0824622 | + | 0.0476096i | ||||
\(546\) | 9.64048e9 | − | 9.42598e9i | 2.53469 | − | 2.47829i | ||||
\(547\) | −1.52976e9 | − | 2.64962e9i | −0.399639 | − | 0.692195i | 0.594042 | − | 0.804434i | \(-0.297531\pi\) |
−0.993681 | + | 0.112239i | \(0.964198\pi\) | |||||||
\(548\) | −1.00611e9 | + | 5.51075e8i | −0.261163 | + | 0.143047i | ||||
\(549\) | 2.47239e9 | − | 4.28230e9i | 0.637695 | − | 1.10452i | ||||
\(550\) | −6.06980e8 | + | 2.16745e9i | −0.155563 | + | 0.555494i | ||||
\(551\) | 3.95687e9 | − | 2.41566e9i | 1.00768 | − | 0.615184i | ||||
\(552\) | −6.21045e9 | + | 5.80478e9i | −1.57158 | + | 1.46892i | ||||
\(553\) | −9.29750e8 | − | 5.36792e8i | −0.233791 | − | 0.134979i | ||||
\(554\) | −5.65184e8 | + | 5.52608e8i | −0.141223 | + | 0.138081i | ||||
\(555\) | −1.16698e9 | + | 6.73754e8i | −0.289759 | + | 0.167292i | ||||
\(556\) | −1.62203e9 | − | 2.96136e9i | −0.400218 | − | 0.730685i | ||||
\(557\) | 3.79308e8 | + | 6.56980e8i | 0.0930033 | + | 0.161086i | 0.908774 | − | 0.417290i | \(-0.137020\pi\) |
−0.815770 | + | 0.578376i | \(0.803687\pi\) | |||||||
\(558\) | 3.71417e9 | + | 1.04013e9i | 0.904987 | + | 0.253436i | ||||
\(559\) | 1.85833e9 | 0.449968 | ||||||||
\(560\) | 1.33667e9 | + | 8.54125e8i | 0.321638 | + | 0.205524i | ||||
\(561\) | −5.12096e8 | + | 2.95659e8i | −0.122456 | + | 0.0707002i | ||||
\(562\) | −8.05402e8 | + | 2.87599e9i | −0.191397 | + | 0.683454i | ||||
\(563\) | 3.62267e9 | 0.855558 | 0.427779 | − | 0.903883i | \(-0.359296\pi\) | ||||
0.427779 | + | 0.903883i | \(0.359296\pi\) | |||||||
\(564\) | −1.89434e8 | − | 4.26296e6i | −0.0444611 | − | 0.00100054i | ||||
\(565\) | −5.83905e8 | − | 3.37118e8i | −0.136199 | − | 0.0786343i | ||||
\(566\) | 3.21006e9 | − | 8.21543e8i | 0.744143 | − | 0.190446i | ||||
\(567\) | −1.56130e10 | − | 9.01416e9i | −3.59704 | − | 2.07675i | ||||
\(568\) | −1.82382e9 | + | 4.23285e8i | −0.417602 | + | 0.0969200i | ||||
\(569\) | 4.57763e9i | 1.04171i | 0.853644 | + | 0.520856i | \(0.174387\pi\) | ||||
−0.853644 | + | 0.520856i | \(0.825613\pi\) | |||||||
\(570\) | 1.67067e9 | + | 4.24005e8i | 0.377858 | + | 0.0958979i | ||||
\(571\) | 8.10152e9i | 1.82113i | 0.413369 | + | 0.910563i | \(0.364352\pi\) | ||||
−0.413369 | + | 0.910563i | \(0.635648\pi\) | |||||||
\(572\) | 2.53555e9 | − | 1.38880e9i | 0.566481 | − | 0.310279i | ||||
\(573\) | 8.42246e9 | + | 4.86271e9i | 1.87024 | + | 1.07978i | ||||
\(574\) | −2.89676e9 | − | 1.13187e10i | −0.639324 | − | 2.49807i | ||||
\(575\) | −4.40842e9 | − | 2.54520e9i | −0.967041 | − | 0.558322i | ||||
\(576\) | 9.82302e9 | − | 4.81917e9i | 2.14174 | − | 1.05074i | ||||
\(577\) | 8.28646e8 | 0.179578 | 0.0897891 | − | 0.995961i | \(-0.471381\pi\) | ||||
0.0897891 | + | 0.995961i | \(0.471381\pi\) | |||||||
\(578\) | −4.39809e9 | − | 1.23166e9i | −0.947364 | − | 0.265303i | ||||
\(579\) | −1.05762e9 | + | 6.10619e8i | −0.226441 | + | 0.130736i | ||||
\(580\) | −1.17507e9 | − | 2.64434e7i | −0.250072 | − | 0.00562756i | ||||
\(581\) | −4.55055e9 | −0.962603 | ||||||||
\(582\) | 3.46622e9 | − | 1.23774e10i | 0.728828 | − | 2.60255i | ||||
\(583\) | −1.98057e9 | − | 3.43044e9i | −0.413952 | − | 0.716985i | ||||
\(584\) | 6.46861e9 | − | 1.50128e9i | 1.34390 | − | 0.311901i | ||||
\(585\) | −2.26662e9 | + | 1.30863e9i | −0.468093 | + | 0.270254i | ||||
\(586\) | −1.68938e9 | − | 1.72782e9i | −0.346805 | − | 0.354697i | ||||
\(587\) | 2.59685e9 | + | 1.49929e9i | 0.529924 | + | 0.305952i | 0.740986 | − | 0.671521i | \(-0.234359\pi\) |
−0.211061 | + | 0.977473i | \(0.567692\pi\) | |||||||
\(588\) | 1.74070e10 | + | 1.05791e10i | 3.53104 | + | 2.14599i | ||||
\(589\) | −1.95305e9 | + | 4.78654e7i | −0.393830 | + | 0.00965203i | ||||
\(590\) | 1.23298e9 | + | 3.45288e8i | 0.247157 | + | 0.0692148i | ||||
\(591\) | 2.71901e9 | − | 4.70946e9i | 0.541819 | − | 0.938458i | ||||
\(592\) | 1.94901e8 | − | 4.32822e9i | 0.0386089 | − | 0.857399i | ||||
\(593\) | 3.68866e9 | + | 6.38894e9i | 0.726402 | + | 1.25817i | 0.958394 | + | 0.285448i | \(0.0921423\pi\) |
−0.231992 | + | 0.972718i | \(0.574524\pi\) | |||||||
\(594\) | −5.49885e9 | − | 5.62399e9i | −1.07651 | − | 1.10101i | ||||
\(595\) | −2.16107e8 | + | 1.24770e8i | −0.0420591 | + | 0.0242828i | ||||
\(596\) | −3.47743e9 | − | 2.11341e9i | −0.672816 | − | 0.408904i | ||||
\(597\) | 1.85109e9i | 0.356055i | ||||||||
\(598\) | 1.62104e9 | + | 6.33398e9i | 0.309984 | + | 1.21122i | ||||
\(599\) | 2.92212e9 | + | 5.06126e9i | 0.555525 | + | 0.962198i | 0.997862 | + | 0.0653493i | \(0.0208162\pi\) |
−0.442337 | + | 0.896849i | \(0.645851\pi\) | |||||||
\(600\) | 6.34926e9 | + | 6.79297e9i | 1.20003 | + | 1.28390i | ||||
\(601\) | − | 3.88882e9i | − | 0.730731i | −0.930864 | − | 0.365365i | \(-0.880944\pi\) | ||
0.930864 | − | 0.365365i | \(-0.119056\pi\) | |||||||
\(602\) | 1.00605e9 | + | 3.93102e9i | 0.187946 | + | 0.734374i | ||||
\(603\) | −9.25263e9 | + | 1.60260e10i | −1.71852 | + | 2.97656i | ||||
\(604\) | −2.25627e8 | + | 1.00262e10i | −0.0416640 | + | 1.85143i | ||||
\(605\) | −3.66520e8 | + | 6.34832e8i | −0.0672906 | + | 0.116551i | ||||
\(606\) | 2.26902e7 | − | 2.21854e7i | 0.00414176 | − | 0.00404960i | ||||
\(607\) | −9.75760e9 | −1.77085 | −0.885426 | − | 0.464780i | \(-0.846134\pi\) | ||||
−0.885426 | + | 0.464780i | \(0.846134\pi\) | |||||||
\(608\) | −4.04116e9 | + | 3.79239e9i | −0.729195 | + | 0.684306i | ||||
\(609\) | −2.18143e10 | −3.91363 | ||||||||
\(610\) | 4.54026e8 | − | 4.43924e8i | 0.0809891 | − | 0.0791871i | ||||
\(611\) | −7.28661e7 | + | 1.26208e8i | −0.0129235 | + | 0.0223842i | ||||
\(612\) | −3.87244e7 | + | 1.72080e9i | −0.00682897 | + | 0.303459i | ||||
\(613\) | 4.65941e9 | − | 8.07033e9i | 0.816994 | − | 1.41508i | −0.0908931 | − | 0.995861i | \(-0.528972\pi\) |
0.907887 | − | 0.419215i | \(-0.137695\pi\) | |||||||
\(614\) | 1.69326e9 | + | 6.61619e9i | 0.295213 | + | 1.15350i | ||||
\(615\) | 3.21866e9i | 0.557972i | ||||||||
\(616\) | 4.31047e9 | + | 4.61171e9i | 0.743006 | + | 0.794931i | ||||
\(617\) | 3.55983e9 | + | 6.16581e9i | 0.610143 | + | 1.05680i | 0.991216 | + | 0.132254i | \(0.0422213\pi\) |
−0.381073 | + | 0.924545i | \(0.624445\pi\) | |||||||
\(618\) | −2.64440e9 | − | 1.03326e10i | −0.450679 | − | 1.76096i | ||||
\(619\) | 2.74304e9i | 0.464852i | 0.972614 | + | 0.232426i | \(0.0746664\pi\) | ||||
−0.972614 | + | 0.232426i | \(0.925334\pi\) | |||||||
\(620\) | 4.23269e8 | + | 2.57242e8i | 0.0713257 | + | 0.0433482i | ||||
\(621\) | 1.54052e10 | − | 8.89419e9i | 2.58135 | − | 1.49034i | ||||
\(622\) | 1.10838e9 | + | 1.13360e9i | 0.184681 | + | 0.188884i | ||||
\(623\) | −6.65095e9 | − | 1.15198e10i | −1.10198 | − | 1.90869i | ||||
\(624\) | 5.37239e8 | − | 1.19306e10i | 0.0885160 | − | 1.96570i | ||||
\(625\) | −2.64695e9 | + | 4.58464e9i | −0.433675 | + | 0.751148i | ||||
\(626\) | −1.64901e9 | − | 4.61795e8i | −0.268666 | − | 0.0752383i | ||||
\(627\) | 6.02249e9 | + | 3.28303e9i | 0.975753 | + | 0.531911i | ||||
\(628\) | 4.20252e9 | + | 2.55408e9i | 0.677098 | + | 0.411506i | ||||
\(629\) | 5.90260e8 | + | 3.40787e8i | 0.0945728 | + | 0.0546016i | ||||
\(630\) | −3.99530e9 | − | 4.08623e9i | −0.636587 | − | 0.651074i | ||||
\(631\) | −5.35900e9 | + | 3.09402e9i | −0.849144 | + | 0.490253i | −0.860362 | − | 0.509684i | \(-0.829762\pi\) |
0.0112183 | + | 0.999937i | \(0.496429\pi\) | |||||||
\(632\) | −9.26326e8 | + | 2.14988e8i | −0.145967 | + | 0.0338770i | ||||
\(633\) | −1.21863e9 | − | 2.11073e9i | −0.190967 | − | 0.330764i | ||||
\(634\) | −2.94003e9 | + | 1.04984e10i | −0.458183 | + | 1.63611i | ||||
\(635\) | 1.64597e9 | 0.255103 | ||||||||
\(636\) | −1.63594e10 | − | 3.68148e8i | −2.52155 | − | 0.0567443i | ||||
\(637\) | 1.35676e10 | − | 7.83323e9i | 2.07976 | − | 1.20075i | ||||
\(638\) | −4.50410e9 | − | 1.26134e9i | −0.686650 | − | 0.192292i | ||||
\(639\) | 6.74537e9 | 1.02271 | ||||||||
\(640\) | 1.38159e9 | − | 2.55762e8i | 0.208328 | − | 0.0385661i | ||||
\(641\) | −6.47032e8 | − | 3.73564e8i | −0.0970337 | − | 0.0560224i | 0.450698 | − | 0.892677i | \(-0.351175\pi\) |
−0.547732 | + | 0.836654i | \(0.684509\pi\) | |||||||
\(642\) | −7.45605e8 | − | 2.91335e9i | −0.111208 | − | 0.434530i | ||||
\(643\) | −4.56518e9 | − | 2.63571e9i | −0.677203 | − | 0.390984i | 0.121597 | − | 0.992580i | \(-0.461198\pi\) |
−0.798801 | + | 0.601596i | \(0.794532\pi\) | |||||||
\(644\) | −1.25210e10 | + | 6.85813e9i | −1.84730 | + | 1.01182i | ||||
\(645\) | − | 1.11785e9i | − | 0.164031i | ||||||
\(646\) | −2.36784e8 | − | 8.39049e8i | −0.0345572 | − | 0.122454i | ||||
\(647\) | 3.40875e9i | 0.494800i | 0.968913 | + | 0.247400i | \(0.0795763\pi\) | ||||
−0.968913 | + | 0.247400i | \(0.920424\pi\) | |||||||
\(648\) | −1.55555e10 | + | 3.61022e9i | −2.24580 | + | 0.521220i | ||||
\(649\) | 4.41275e9 | + | 2.54770e9i | 0.633655 | + | 0.365841i | ||||
\(650\) | 6.92809e9 | − | 1.77309e9i | 0.989503 | − | 0.253241i | ||||
\(651\) | 7.96110e9 | + | 4.59634e9i | 1.13094 | + | 0.652949i | ||||
\(652\) | −3.68048e9 | − | 8.28246e7i | −0.520042 | − | 0.0117029i | ||||
\(653\) | −4.66330e9 | −0.655386 | −0.327693 | − | 0.944784i | \(-0.606271\pi\) | ||||
−0.327693 | + | 0.944784i | \(0.606271\pi\) | |||||||
\(654\) | −1.59526e9 | + | 5.69645e9i | −0.223002 | + | 0.796310i | ||||
\(655\) | −3.43250e8 | + | 1.98176e8i | −0.0477273 | + | 0.0275553i | ||||
\(656\) | −8.72054e9 | − | 5.57236e9i | −1.20609 | − | 0.770683i | ||||
\(657\) | −2.39241e10 | −3.29122 | ||||||||
\(658\) | −3.06422e8 | − | 8.58115e7i | −0.0419304 | − | 0.0117423i | ||||
\(659\) | 2.09186e9 | + | 3.62321e9i | 0.284730 | + | 0.493167i | 0.972544 | − | 0.232720i | \(-0.0747627\pi\) |
−0.687814 | + | 0.725887i | \(0.741429\pi\) | |||||||
\(660\) | −8.35410e8 | − | 1.52522e9i | −0.113109 | − | 0.206504i | ||||
\(661\) | 2.94686e7 | − | 1.70137e7i | 0.00396875 | − | 0.00229136i | −0.498014 | − | 0.867169i | \(-0.665937\pi\) |
0.501983 | + | 0.864877i | \(0.332604\pi\) | |||||||
\(662\) | −7.70434e9 | + | 7.53291e9i | −1.03212 | + | 1.00916i | ||||
\(663\) | 1.62704e9 | + | 9.39371e8i | 0.216821 | + | 0.125181i | ||||
\(664\) | −2.94471e9 | + | 2.75236e9i | −0.390350 | + | 0.364852i | ||||
\(665\) | 2.54153e9 | + | 1.38546e9i | 0.335134 | + | 0.182691i | ||||
\(666\) | −4.20931e9 | + | 1.50309e10i | −0.552143 | + | 1.97163i | ||||
\(667\) | 5.28909e9 | − | 9.16097e9i | 0.690145 | − | 1.19537i | ||||
\(668\) | −1.27616e10 | + | 6.98989e9i | −1.65648 | + | 0.907303i | ||||
\(669\) | 6.00229e9 | + | 1.03963e10i | 0.775042 | + | 1.34241i | ||||
\(670\) | −1.69914e9 | + | 1.66134e9i | −0.218257 | + | 0.213401i | ||||
\(671\) | 2.18839e9 | − | 1.26347e9i | 0.279638 | − | 0.161449i | ||||
\(672\) | 2.55283e10 | − | 5.32250e9i | 3.24511 | − | 0.676586i | ||||
\(673\) | − | 1.11803e10i | − | 1.41384i | −0.707293 | − | 0.706920i | \(-0.750084\pi\) | ||
0.707293 | − | 0.706920i | \(-0.249916\pi\) | |||||||
\(674\) | 9.63386e9 | − | 2.46557e9i | 1.21197 | − | 0.310175i | ||||
\(675\) | −9.72844e9 | − | 1.68502e10i | −1.21753 | − | 2.10883i | ||||
\(676\) | −9.85691e8 | − | 5.99054e8i | −0.122723 | − | 0.0745852i | ||||
\(677\) | 4.19169e9i | 0.519193i | 0.965717 | + | 0.259597i | \(0.0835896\pi\) | ||||
−0.965717 | + | 0.259597i | \(0.916410\pi\) | |||||||
\(678\) | −1.07380e10 | + | 2.74814e9i | −1.32318 | + | 0.338638i | ||||
\(679\) | 1.07930e10 | − | 1.86940e10i | 1.32312 | − | 2.29170i | ||||
\(680\) | −6.43796e7 | + | 2.11451e8i | −0.00785176 | + | 0.0257886i | ||||
\(681\) | 1.12939e10 | − | 1.95617e10i | 1.37035 | − | 2.37351i | ||||
\(682\) | 1.37800e9 | + | 1.40936e9i | 0.166342 | + | 0.170128i | ||||
\(683\) | −1.45467e10 | −1.74700 | −0.873500 | − | 0.486824i | \(-0.838155\pi\) | ||||
−0.873500 | + | 0.486824i | \(0.838155\pi\) | |||||||
\(684\) | 1.72711e10 | − | 1.00177e10i | 2.06360 | − | 1.19694i | ||||
\(685\) | 5.30722e8 | 0.0630885 | ||||||||
\(686\) | 1.32657e10 | + | 1.35676e10i | 1.56890 | + | 1.60460i | ||||
\(687\) | −7.68217e9 | + | 1.33059e10i | −0.903931 | + | 1.56565i | ||||
\(688\) | 3.02867e9 | + | 1.93530e9i | 0.354562 | + | 0.226563i | ||||
\(689\) | −6.29269e9 | + | 1.08993e10i | −0.732941 | + | 1.26949i | ||||
\(690\) | 3.81012e9 | − | 9.75113e8i | 0.441536 | − | 0.113001i | ||||
\(691\) | 5.16891e9i | 0.595971i | 0.954570 | + | 0.297986i | \(0.0963148\pi\) | ||||
−0.954570 | + | 0.297986i | \(0.903685\pi\) | |||||||
\(692\) | 4.92362e9 | − | 8.10138e9i | 0.564824 | − | 0.929368i | ||||
\(693\) | −1.13712e10 | − | 1.96954e10i | −1.29789 | − | 2.24802i | ||||
\(694\) | 3.60778e9 | − | 9.23328e8i | 0.409715 | − | 0.104857i | ||||
\(695\) | 1.56212e9i | 0.176510i | ||||||||
\(696\) | −1.41162e10 | + | 1.31942e10i | −1.58704 | + | 1.48337i | ||||
\(697\) | 1.40990e9 | − | 8.14005e8i | 0.157715 | − | 0.0910568i | ||||
\(698\) | 2.86730e9 | − | 2.80350e9i | 0.319139 | − | 0.312038i | ||||
\(699\) | 1.09091e10 | + | 1.88951e10i | 1.20814 | + | 2.09256i | ||||
\(700\) | 7.50140e9 | + | 1.36954e10i | 0.826608 | + | 1.50915i | ||||
\(701\) | 2.84302e8 | − | 4.92425e8i | 0.0311722 | − | 0.0539918i | −0.850018 | − | 0.526753i | \(-0.823409\pi\) |
0.881191 | + | 0.472761i | \(0.156743\pi\) | |||||||
\(702\) | −6.73916e9 | + | 2.40647e10i | −0.735235 | + | 2.62543i | ||||
\(703\) | −1.93707e8 | − | 7.90380e9i | −0.0210282 | − | 0.858010i | ||||
\(704\) | 5.57871e9 | + | 3.77135e8i | 0.602601 | + | 0.0407373i | ||||
\(705\) | 7.59185e7 | + | 4.38316e7i | 0.00815991 | + | 0.00471113i | ||||
\(706\) | −3.75528e8 | + | 3.67172e8i | −0.0401629 | + | 0.0392693i | ||||
\(707\) | 4.61531e7 | − | 2.66465e7i | 0.00491171 | − | 0.00283578i | ||||
\(708\) | 1.84614e10 | − | 1.01118e10i | 1.95500 | − | 1.07081i | ||||
\(709\) | 4.56500e9 | + | 7.90682e9i | 0.481038 | + | 0.833182i | 0.999763 | − | 0.0217588i | \(-0.00692659\pi\) |
−0.518725 | + | 0.854941i | \(0.673593\pi\) | |||||||
\(710\) | 8.34122e8 | + | 2.33591e8i | 0.0874632 | + | 0.0244935i | ||||
\(711\) | 3.42600e9 | 0.357474 | ||||||||
\(712\) | −1.12715e10 | − | 3.43181e9i | −1.17032 | − | 0.356322i | ||||
\(713\) | −3.86050e9 | + | 2.22886e9i | −0.398869 | + | 0.230287i | ||||
\(714\) | −1.10626e9 | + | 3.95031e9i | −0.113740 | + | 0.406151i | ||||
\(715\) | −1.33750e9 | −0.136843 | ||||||||
\(716\) | 2.88619e7 | − | 1.28254e9i | 0.00293853 | − | 0.130580i | ||||
\(717\) | 1.33454e10 | + | 7.70496e9i | 1.35212 | + | 0.780644i | ||||
\(718\) | 9.95177e9 | − | 2.54693e9i | 1.00338 | − | 0.256792i | ||||
\(719\) | 1.36554e10 | + | 7.88394e9i | 1.37010 | + | 0.791028i | 0.990940 | − | 0.134302i | \(-0.0428794\pi\) |
0.379161 | + | 0.925331i | \(0.376213\pi\) | |||||||
\(720\) | −5.05693e9 | − | 2.27715e8i | −0.504920 | − | 0.0227367i | ||||
\(721\) | − | 1.79116e10i | − | 1.77976i | ||||||
\(722\) | −6.87595e9 | + | 7.41581e9i | −0.679911 | + | 0.733294i | ||||
\(723\) | − | 1.19402e10i | − | 1.17497i | ||||||
\(724\) | −4.28215e9 | − | 7.81799e9i | −0.419350 | − | 0.765615i | ||||
\(725\) | −1.00202e10 | − | 5.78519e9i | −0.976552 | − | 0.563813i | ||||
\(726\) | 2.98783e9 | + | 1.16745e10i | 0.289786 | + | 1.13230i | ||||
\(727\) | −6.18156e9 | − | 3.56892e9i | −0.596661 | − | 0.344482i | 0.171066 | − | 0.985260i | \(-0.445279\pi\) |
−0.767727 | + | 0.640777i | \(0.778612\pi\) | |||||||
\(728\) | 5.84170e9 | − | 1.91867e10i | 0.561151 | − | 1.84306i | ||||
\(729\) | 8.46121e9 | 0.808884 | ||||||||
\(730\) | −2.95841e9 | − | 8.28485e8i | −0.281468 | − | 0.0788233i | ||||
\(731\) | −4.89662e8 | + | 2.82707e8i | −0.0463645 | + | 0.0267686i | ||||
\(732\) | 2.34853e8 | − | 1.04362e10i | 0.0221314 | − | 0.983452i | ||||
\(733\) | 1.12377e10 | 1.05393 | 0.526967 | − | 0.849885i | \(-0.323329\pi\) | ||||
0.526967 | + | 0.849885i | \(0.323329\pi\) | |||||||
\(734\) | 1.40470e9 | − | 5.01600e9i | 0.131113 | − | 0.468189i | ||||
\(735\) | −4.71197e9 | − | 8.16137e9i | −0.437720 | − | 0.758154i | ||||
\(736\) | −3.95440e9 | + | 1.20112e10i | −0.365601 | + | 1.11049i | ||||
\(737\) | −8.18980e9 | + | 4.72839e9i | −0.753594 | + | 0.435088i | ||||
\(738\) | 2.60656e10 | + | 2.66588e10i | 2.38710 | + | 2.44142i | ||||
\(739\) | −5.03507e9 | − | 2.90700e9i | −0.458934 | − | 0.264966i | 0.252662 | − | 0.967555i | \(-0.418694\pi\) |
−0.711596 | + | 0.702589i | \(0.752027\pi\) | |||||||
\(740\) | −1.04103e9 | + | 1.71293e9i | −0.0944396 | + | 0.155392i | ||||
\(741\) | −5.33949e8 | − | 2.17866e10i | −0.0482099 | − | 1.96710i | ||||
\(742\) | −2.64625e10 | − | 7.41065e9i | −2.37803 | − | 0.665951i | ||||
\(743\) | −8.95580e9 | + | 1.55119e10i | −0.801020 | + | 1.38741i | 0.117926 | + | 0.993022i | \(0.462376\pi\) |
−0.918945 | + | 0.394385i | \(0.870958\pi\) | |||||||
\(744\) | 7.93177e9 | − | 1.84086e9i | 0.706098 | − | 0.163876i | ||||
\(745\) | 9.41319e8 | + | 1.63041e9i | 0.0834046 | + | 0.144461i | ||||
\(746\) | −1.53487e10 | − | 1.56980e10i | −1.35359 | − | 1.38439i | ||||
\(747\) | 1.25761e10 | − | 7.26082e9i | 1.10389 | − | 0.637328i | ||||
\(748\) | −4.56830e8 | + | 7.51674e8i | −0.0399116 | + | 0.0656710i | ||||
\(749\) | − | 5.05029e9i | − | 0.439167i | ||||||
\(750\) | −2.18328e9 | − | 8.53085e9i | −0.188971 | − | 0.738377i | ||||
\(751\) | −7.40447e9 | − | 1.28249e10i | −0.637902 | − | 1.10488i | −0.985892 | − | 0.167381i | \(-0.946469\pi\) |
0.347990 | − | 0.937498i | \(-0.386864\pi\) | |||||||
\(752\) | −2.50191e8 | + | 1.29807e8i | −0.0214541 | + | 0.0111310i | ||||
\(753\) | − | 1.78914e10i | − | 1.52708i | ||||||
\(754\) | 3.68459e9 | + | 1.43970e10i | 0.313033 | + | 1.22313i | ||||
\(755\) | 2.31988e9 | − | 4.01815e9i | 0.196178 | − | 0.339791i | ||||
\(756\) | −5.45536e10 | − | 1.22766e9i | −4.59195 | − | 0.103336i | ||||
\(757\) | −1.07261e9 | + | 1.85782e9i | −0.0898686 | + | 0.155657i | −0.907455 | − | 0.420148i | \(-0.861978\pi\) |
0.817587 | + | 0.575805i | \(0.195311\pi\) | |||||||
\(758\) | 1.02429e10 | − | 1.00150e10i | 0.854242 | − | 0.835235i | ||||
\(759\) | 1.56511e10 | 1.29926 | ||||||||
\(760\) | 2.48263e9 | − | 6.40675e8i | 0.205147 | − | 0.0529408i | ||||
\(761\) | −8.32694e9 | −0.684919 | −0.342459 | − | 0.939533i | \(-0.611260\pi\) | ||||
−0.342459 | + | 0.939533i | \(0.611260\pi\) | |||||||
\(762\) | 1.93476e10 | − | 1.89171e10i | 1.58411 | − | 1.54886i | ||||
\(763\) | −4.96726e9 | + | 8.60354e9i | −0.404837 | + | 0.701199i | ||||
\(764\) | 1.44633e10 | + | 3.25477e8i | 1.17338 | + | 0.0264055i | ||||
\(765\) | 3.98163e8 | − | 6.89638e8i | 0.0321548 | − | 0.0556937i | ||||
\(766\) | 8.06442e8 | + | 3.15106e9i | 0.0648295 | + | 0.253312i | ||||
\(767\) | − | 1.61892e10i | − | 1.29551i | ||||||
\(768\) | 1.33004e10 | − | 1.88848e10i | 1.05950 | − | 1.50435i | ||||
\(769\) | 8.03709e9 | + | 1.39207e10i | 0.637319 | + | 1.10387i | 0.986019 | + | 0.166634i | \(0.0532900\pi\) |
−0.348700 | + | 0.937234i | \(0.613377\pi\) | |||||||
\(770\) | −7.24092e8 | − | 2.82929e9i | −0.0571579 | − | 0.223336i | ||||
\(771\) | 4.49192e10i | 3.52973i | ||||||||
\(772\) | −9.43483e8 | + | 1.55242e9i | −0.0738029 | + | 0.121436i | ||||
\(773\) | 5.21749e9 | − | 3.01232e9i | 0.406288 | − | 0.234570i | −0.282906 | − | 0.959148i | \(-0.591298\pi\) |
0.689193 | + | 0.724577i | \(0.257965\pi\) | |||||||
\(774\) | −9.05268e9 | − | 9.25869e9i | −0.701752 | − | 0.717722i | ||||
\(775\) | 2.43792e9 | + | 4.22261e9i | 0.188133 | + | 0.325855i | ||||
\(776\) | −4.32265e9 | − | 1.86252e10i | −0.332074 | − | 1.43082i | ||||
\(777\) | −1.86010e10 | + | 3.22178e10i | −1.42253 | + | 2.46390i | ||||
\(778\) | 1.11567e10 | + | 3.12437e9i | 0.849391 | + | 0.237867i | ||||
\(779\) | −1.65811e10 | − | 9.03882e9i | −1.25670 | − | 0.685063i | ||||
\(780\) | −2.86959e9 | + | 4.72165e9i | −0.216515 | + | 0.356257i | ||||
\(781\) | 2.98527e9 | + | 1.72355e9i | 0.224236 | + | 0.129463i | ||||
\(782\) | −1.39072e9 | − | 1.42237e9i | −0.103996 | − | 0.106363i | ||||
\(783\) | 3.50157e10 | − | 2.02163e10i | 2.60673 | − | 1.50500i | ||||
\(784\) | 3.02698e10 | + | 1.36306e9i | 2.24339 | + | 0.101020i | ||||
\(785\) | −1.13760e9 | − | 1.97038e9i | −0.0839354 | − | 0.145380i | ||||
\(786\) | −1.75711e9 | + | 6.27441e9i | −0.129068 | + | 0.460886i | ||||
\(787\) | 7.30940e8 | 0.0534528 | 0.0267264 | − | 0.999643i | \(-0.491492\pi\) | ||||
0.0267264 | + | 0.999643i | \(0.491492\pi\) | |||||||
\(788\) | 1.81992e8 | − | 8.08720e9i | 0.0132499 | − | 0.588785i | ||||
\(789\) | 1.67108e8 | − | 9.64798e7i | 0.0121123 | − | 0.00699305i | ||||
\(790\) | 4.23654e8 | + | 1.18642e8i | 0.0305715 | + | 0.00856135i | ||||
\(791\) | −1.86143e10 | −1.33730 | ||||||||
\(792\) | −1.92710e10 | − | 5.86738e9i | −1.37837 | − | 0.419668i | ||||
\(793\) | −6.95298e9 | − | 4.01431e9i | −0.495125 | − | 0.285861i | ||||
\(794\) | −1.06882e9 | − | 4.17625e9i | −0.0757760 | − | 0.296084i | ||||
\(795\) | 6.55629e9 | + | 3.78528e9i | 0.462779 | + | 0.267185i | ||||
\(796\) | 1.32278e9 | + | 2.41503e9i | 0.0929593 | + | 0.169717i | ||||
\(797\) | − | 2.29283e9i | − | 0.160424i | −0.996778 | − | 0.0802119i | \(-0.974440\pi\) | ||
0.996778 | − | 0.0802119i | \(-0.0255597\pi\) | |||||||
\(798\) | 4.57973e10 | − | 1.29242e10i | 3.19029 | − | 0.900316i | ||||
\(799\) | − | 4.43403e7i | − | 0.00307528i | ||||||
\(800\) | 1.31378e10 | + | 4.32531e9i | 0.907211 | + | 0.298677i | ||||
\(801\) | 3.67617e10 | + | 2.12244e10i | 2.52745 | + | 1.45922i | ||||
\(802\) | −1.14759e10 | + | 2.93701e9i | −0.785558 | + | 0.201046i | ||||
\(803\) | −1.05880e10 | − | 6.11298e9i | −0.721621 | − | 0.416628i | ||||
\(804\) | −8.78913e8 | + | 3.90563e10i | −0.0596416 | + | 2.65030i | ||||
\(805\) | 6.60484e9 | 0.446248 | ||||||||
\(806\) | 1.68882e9 | − | 6.03054e9i | 0.113608 | − | 0.405680i | ||||
\(807\) | 3.63211e9 | − | 2.09700e9i | 0.243278 | − | 0.140456i | ||||
\(808\) | 1.37493e7 | − | 4.51585e7i | 0.000916937 | − | 0.00301162i | ||||
\(809\) | −9.42087e8 | −0.0625563 | −0.0312782 | − | 0.999511i | \(-0.509958\pi\) | ||||
−0.0312782 | + | 0.999511i | \(0.509958\pi\) | |||||||
\(810\) | 7.11427e9 | + | 1.99231e9i | 0.470363 | + | 0.131722i | ||||
\(811\) | −4.26754e9 | − | 7.39160e9i | −0.280934 | − | 0.486592i | 0.690681 | − | 0.723160i | \(-0.257311\pi\) |
−0.971615 | + | 0.236567i | \(0.923978\pi\) | |||||||
\(812\) | −2.84600e10 | + | 1.55884e10i | −1.86547 | + | 1.02178i | ||||
\(813\) | −3.11679e10 | + | 1.79948e10i | −2.03418 | + | 1.17444i | ||||
\(814\) | −5.70353e9 | + | 5.57663e9i | −0.370645 | + | 0.362398i | ||||
\(815\) | 1.47501e9 | + | 8.51598e8i | 0.0954429 | + | 0.0551040i | ||||
\(816\) | 1.67344e9 | + | 3.22540e9i | 0.107819 | + | 0.207811i | ||||
\(817\) | 5.75866e9 | + | 3.13921e9i | 0.369441 | + | 0.201393i | ||||
\(818\) | 7.76220e8 | − | 2.77178e9i | 0.0495847 | − | 0.177061i | ||||
\(819\) | −3.61287e10 | + | 6.25767e10i | −2.29804 | + | 3.98033i | ||||
\(820\) | 2.30004e9 | + | 4.19923e9i | 0.145676 | + | 0.265963i | ||||
\(821\) | −1.58364e10 | − | 2.74295e10i | −0.998750 | − | 1.72989i | −0.542663 | − | 0.839950i | \(-0.682584\pi\) |
−0.456087 | − | 0.889935i | \(-0.650749\pi\) | |||||||
\(822\) | 6.23836e9 | − | 6.09955e9i | 0.391759 | − | 0.383042i | ||||
\(823\) | −6.20729e9 | + | 3.58378e9i | −0.388152 | + | 0.224100i | −0.681359 | − | 0.731949i | \(-0.738611\pi\) |
0.293207 | + | 0.956049i | \(0.405278\pi\) | |||||||
\(824\) | −1.08337e10 | − | 1.15908e10i | −0.674576 | − | 0.721718i | ||||
\(825\) | − | 1.71191e10i | − | 1.06143i | ||||||
\(826\) | 3.42458e10 | − | 8.76445e9i | 2.11435 | − | 0.541121i | ||||
\(827\) | −4.79041e9 | − | 8.29724e9i | −0.294513 | − | 0.510111i | 0.680359 | − | 0.732879i | \(-0.261824\pi\) |
−0.974871 | + | 0.222768i | \(0.928491\pi\) | |||||||
\(828\) | 2.36608e10 | − | 3.89319e10i | 1.44852 | − | 2.38341i | ||||
\(829\) | − | 9.66556e9i | − | 0.589232i | −0.955616 | − | 0.294616i | \(-0.904808\pi\) | ||
0.955616 | − | 0.294616i | \(-0.0951917\pi\) | |||||||
\(830\) | 1.80658e9 | − | 4.62353e8i | 0.109669 | − | 0.0280673i | ||||
\(831\) | 3.00594e9 | − | 5.20645e9i | 0.181709 | − | 0.314730i | ||||
\(832\) | −7.82468e9 | − | 1.59492e10i | −0.471015 | − | 0.960081i | ||||
\(833\) | −2.38333e9 | + | 4.12805e9i | −0.142865 | + | 0.247450i | ||||
\(834\) | 1.79534e10 | + | 1.83619e10i | 1.07168 | + | 1.09607i | ||||
\(835\) | 6.73173e9 | 0.400151 | ||||||||
\(836\) | 1.02033e10 | − | 2.04397e7i | 0.603975 | − | 0.00120991i | ||||
\(837\) | −1.70386e10 | −1.00437 | ||||||||
\(838\) | −1.89788e10 | − | 1.94107e10i | −1.11408 | − | 1.13943i | ||||
\(839\) | 1.38441e10 | − | 2.39787e10i | 0.809279 | − | 1.40171i | −0.104085 | − | 0.994568i | \(-0.533191\pi\) |
0.913364 | − | 0.407144i | \(-0.133475\pi\) | |||||||
\(840\) | −1.15415e10 | − | 3.51399e9i | −0.671868 | − | 0.204561i | ||||
\(841\) | 3.39707e9 | − | 5.88389e9i | 0.196933 | − | 0.341098i | ||||
\(842\) | 5.82539e9 | − | 1.49088e9i | 0.336304 | − | 0.0860694i | ||||
\(843\) | − | 2.27153e10i | − | 1.30594i | ||||||
\(844\) | −3.09820e9 | − | 1.88293e9i | −0.177383 | − | 0.107804i | ||||
\(845\) | 2.66821e8 | + | 4.62147e8i | 0.0152132 | + | 0.0263501i | ||||
\(846\) | 9.83761e8 | − | 2.51771e8i | 0.0558590 | − | 0.0142958i | ||||
\(847\) | 2.02378e10i | 1.14438i | ||||||||
\(848\) | −2.16064e10 | + | 1.12101e10i | −1.21674 | + | 0.631282i | ||||
\(849\) | −2.18252e10 | + | 1.26008e10i | −1.22400 | + | 0.706676i | ||||
\(850\) | −1.55579e9 | + | 1.52117e9i | −0.0868927 | + | 0.0849593i | ||||
\(851\) | −9.02000e9 | − | 1.56231e10i | −0.501710 | − | 0.868987i | ||||
\(852\) | 1.24893e10 | − | 6.84077e9i | 0.691831 | − | 0.378937i | ||||
\(853\) | 9.46104e9 | − | 1.63870e10i | 0.521936 | − | 0.904020i | −0.477738 | − | 0.878502i | \(-0.658543\pi\) |
0.999674 | − | 0.0255176i | \(-0.00812340\pi\) | |||||||
\(854\) | 4.72749e9 | − | 1.68812e10i | 0.259734 | − | 0.927475i | ||||
\(855\) | −9.23451e9 | + | 2.26320e8i | −0.505280 | + | 0.0123834i | ||||
\(856\) | −3.05462e9 | − | 3.26810e9i | −0.166456 | − | 0.178089i | ||||
\(857\) | 1.63969e10 | + | 9.46673e9i | 0.889872 | + | 0.513768i | 0.873901 | − | 0.486104i | \(-0.161583\pi\) |
0.0159716 | + | 0.999872i | \(0.494916\pi\) | |||||||
\(858\) | −1.57217e10 | + | 1.53718e10i | −0.849753 | + | 0.830846i | ||||
\(859\) | −3.91572e9 | + | 2.26074e9i | −0.210783 | + | 0.121696i | −0.601675 | − | 0.798741i | \(-0.705500\pi\) |
0.390892 | + | 0.920436i | \(0.372167\pi\) | |||||||
\(860\) | −7.98814e8 | − | 1.45841e9i | −0.0428253 | − | 0.0781869i | ||||
\(861\) | 4.44303e10 | + | 7.69556e10i | 2.37229 | + | 4.10893i | ||||
\(862\) | −1.18964e10 | − | 3.33151e9i | −0.632615 | − | 0.177160i | ||||
\(863\) | −7.22292e9 | −0.382538 | −0.191269 | − | 0.981538i | \(-0.561260\pi\) | ||||
−0.191269 | + | 0.981538i | \(0.561260\pi\) | |||||||
\(864\) | −3.60448e10 | + | 3.22019e10i | −1.90127 | + | 1.69857i | ||||
\(865\) | −3.79838e9 | + | 2.19300e9i | −0.199546 | + | 0.115208i | ||||
\(866\) | −5.59437e9 | + | 1.99768e10i | −0.292711 | + | 1.04523i | ||||
\(867\) | 3.47373e10 | 1.81021 | ||||||||
\(868\) | 1.36710e10 | + | 3.07648e8i | 0.709547 | + | 0.0159675i | ||||
\(869\) | 1.51623e9 | + | 8.75397e8i | 0.0783784 | + | 0.0452518i | ||||
\(870\) | 8.66033e9 | − | 2.21641e9i | 0.445879 | − | 0.114113i | ||||
\(871\) | 2.60208e10 | + | 1.50231e10i | 1.33431 | + | 0.770364i | ||||
\(872\) | 1.98941e9 | + | 8.57185e9i | 0.101606 | + | 0.437791i | ||||
\(873\) | 6.88849e10i | 3.50408i | ||||||||
\(874\) | −5.67645e9 | + | 2.23664e10i | −0.287598 | + | 1.13320i | ||||
\(875\) | − | 1.47882e10i | − | 0.746257i | ||||||
\(876\) | −4.42963e10 | + | 2.42624e10i | −2.22640 | + | 1.21947i | ||||
\(877\) | −4.22703e9 | − | 2.44048e9i | −0.211610 | − | 0.122173i | 0.390449 | − | 0.920624i | \(-0.372320\pi\) |
−0.602060 | + | 0.798451i | \(0.705653\pi\) | |||||||
\(878\) | −5.05082e9 | − | 1.97354e10i | −0.251844 | − | 0.984044i | ||||
\(879\) | 1.59166e10 | + | 9.18946e9i | 0.790478 | + | 0.456383i | ||||
\(880\) | −2.17984e9 | − | 1.39290e9i | −0.107829 | − | 0.0689019i | ||||
\(881\) | −1.98014e10 | −0.975621 | −0.487810 | − | 0.872950i | \(-0.662204\pi\) | ||||
−0.487810 | + | 0.872950i | \(0.662204\pi\) | |||||||
\(882\) | −1.05120e11 | − | 2.94383e10i | −5.15878 | − | 1.44468i | ||||
\(883\) | −2.02247e9 | + | 1.16767e9i | −0.0988596 | + | 0.0570766i | −0.548615 | − | 0.836075i | \(-0.684845\pi\) |
0.449755 | + | 0.893152i | \(0.351511\pi\) | |||||||
\(884\) | 2.79399e9 | + | 6.28752e7i | 0.136032 | + | 0.00306123i | ||||
\(885\) | −9.73839e9 | −0.472265 | ||||||||
\(886\) | −3.68235e9 | + | 1.31492e10i | −0.177872 | + | 0.635157i | ||||
\(887\) | 3.37675e9 | + | 5.84871e9i | 0.162468 | + | 0.281402i | 0.935753 | − | 0.352656i | \(-0.114721\pi\) |
−0.773286 | + | 0.634058i | \(0.781388\pi\) | |||||||
\(888\) | 7.44979e9 | + | 3.20992e10i | 0.357025 | + | 1.53833i | ||||
\(889\) | 3.93539e10 | − | 2.27210e10i | 1.87859 | − | 1.08460i | ||||
\(890\) | 3.81090e9 | + | 3.89763e9i | 0.181202 | + | 0.185325i | ||||
\(891\) | 2.54616e10 | + | 1.47002e10i | 1.20591 | + | 0.696230i | ||||
\(892\) | 1.52600e10 | + | 9.27429e9i | 0.719911 | + | 0.437526i | ||||
\(893\) | −4.38999e8 | + | 2.68007e8i | −0.0206292 | + | 0.0125941i | ||||
\(894\) | 2.98030e10 | + | 8.34613e9i | 1.39501 | + | 0.390665i | ||||
\(895\) | −2.96757e8 | + | 5.13998e8i | −0.0138363 | + | 0.0239652i | ||||
\(896\) | 2.95021e10 | − | 2.51865e10i | 1.37017 | − | 1.16974i | ||||
\(897\) | −2.48634e10 | − | 4.30647e10i | −1.15024 | − | 1.99227i | ||||
\(898\) | 1.42005e10 | + | 1.45237e10i | 0.654391 | + | 0.669283i | ||||
\(899\) | −8.77485e9 | + | 5.06616e9i | −0.402792 | + | 0.232552i | ||||
\(900\) | −4.25836e10 | − | 2.58802e10i | −1.94712 | − | 1.18336i | ||||
\(901\) | − | 3.82921e9i | − | 0.174411i | ||||||
\(902\) | 4.72402e9 | + | 1.84585e10i | 0.214333 | + | 0.837476i | ||||
\(903\) | −1.54308e10 | − | 2.67269e10i | −0.697399 | − | 1.20793i | ||||
\(904\) | −1.20455e10 | + | 1.12587e10i | −0.542295 | + | 0.506872i | ||||
\(905\) | 4.12400e9i | 0.184947i | ||||||||
\(906\) | −1.89114e10 | − | 7.38935e10i | −0.844839 | − | 3.30109i | ||||
\(907\) | 9.34164e9 | − | 1.61802e10i | 0.415717 | − | 0.720043i | −0.579787 | − | 0.814768i | \(-0.696864\pi\) |
0.995503 | + | 0.0947257i | \(0.0301974\pi\) | |||||||
\(908\) | 7.55941e8 | − | 3.35918e10i | 0.0335110 | − | 1.48913i | ||||
\(909\) | −8.50339e7 | + | 1.47283e8i | −0.00375507 | + | 0.00650398i | ||||
\(910\) | −6.63463e9 | + | 6.48701e9i | −0.291858 | + | 0.285364i | ||||
\(911\) | −2.62145e10 | −1.14875 | −0.574377 | − | 0.818591i | \(-0.694756\pi\) | ||||
−0.574377 | + | 0.818591i | \(0.694756\pi\) | |||||||
\(912\) | 2.18188e10 | − | 3.60635e10i | 0.952466 | − | 1.57430i | ||||
\(913\) | 7.42101e9 | 0.322712 | ||||||||
\(914\) | −2.76996e10 | + | 2.70833e10i | −1.19995 | + | 1.17325i | ||||
\(915\) | −2.41475e9 | + | 4.18247e9i | −0.104207 | + | 0.180492i | ||||
\(916\) | −5.14193e8 | + | 2.28492e10i | −0.0221051 | + | 0.982285i | ||||
\(917\) | −5.47123e9 | + | 9.47645e9i | −0.234311 | + | 0.405838i | ||||
\(918\) | −1.88520e9 | − | 7.36617e9i | −0.0804283 | − | 0.314262i | ||||
\(919\) | 1.07297e10i | 0.456021i | 0.973659 | + | 0.228011i | \(0.0732221\pi\) | ||||
−0.973659 | + | 0.228011i | \(0.926778\pi\) | |||||||
\(920\) | 4.27406e9 | − | 3.99488e9i | 0.180960 | − | 0.169140i | ||||
\(921\) | −2.59712e10 | − | 4.49834e10i | −1.09543 | − | 1.89733i | ||||
\(922\) | −1.02467e10 | − | 4.00376e10i | −0.430552 | − | 1.68232i | ||||
\(923\) | − | 1.09522e10i | − | 0.458453i | ||||||
\(924\) | −4.10282e10 | − | 2.49349e10i | −1.71092 | − | 1.03981i | ||||
\(925\) | −1.70885e10 | + | 9.86605e9i | −0.709917 | + | 0.409871i | ||||
\(926\) | 1.12731e10 | + | 1.15297e10i | 0.466559 | + | 0.477176i | ||||
\(927\) | 2.85796e10 | + | 4.95013e10i | 1.17836 | + | 2.04097i | ||||
\(928\) | −8.98827e9 | + | 2.73012e10i | −0.369197 | + | 1.12141i | ||||
\(929\) | −2.93276e9 | + | 5.07970e9i | −0.120011 | + | 0.207866i | −0.919772 | − | 0.392453i | \(-0.871626\pi\) |
0.799761 | + | 0.600319i | \(0.204960\pi\) | |||||||
\(930\) | −3.62759e9 | − | 1.01588e9i | −0.147886 | − | 0.0414146i | ||||
\(931\) | 5.52761e10 | − | 1.35471e9i | 2.24499 | − | 0.0550203i | ||||
\(932\) | 2.77349e10 | + | 1.68559e10i | 1.12220 | + | 0.682019i | ||||
\(933\) | −1.04427e10 | − | 6.02910e9i | −0.420947 | − | 0.243034i | ||||
\(934\) | 3.14079e7 | + | 3.21226e7i | 0.00126132 | + | 0.00129002i | ||||
\(935\) | 3.52427e8 | − | 2.03474e8i | 0.0141003 | − | 0.00814081i | ||||
\(936\) | 1.44697e10 | + | 6.23462e10i | 0.576760 | + | 2.48510i | ||||
\(937\) | 2.91399e9 | + | 5.04718e9i | 0.115718 | + | 0.200429i | 0.918066 | − | 0.396427i | \(-0.129750\pi\) |
−0.802349 | + | 0.596855i | \(0.796417\pi\) | |||||||
\(938\) | −1.76921e10 | + | 6.31762e10i | −0.699954 | + | 2.49945i | ||||
\(939\) | 1.30243e10 | 0.513364 | ||||||||
\(940\) | 1.30369e8 | + | 2.93379e6i | 0.00511950 | + | 0.000115208i | ||||
\(941\) | −8.25356e9 | + | 4.76520e9i | −0.322907 | + | 0.186431i | −0.652688 | − | 0.757627i | \(-0.726359\pi\) |
0.329780 | + | 0.944058i | \(0.393025\pi\) | |||||||
\(942\) | −3.60173e10 | − | 1.00864e10i | −1.40389 | − | 0.393151i | ||||
\(943\) | −4.30904e10 | −1.67336 | ||||||||
\(944\) | 1.68598e10 | − | 2.63849e10i | 0.652303 | − | 1.02083i | ||||
\(945\) | 2.18632e10 | + | 1.26227e10i | 0.842758 | + | 0.486567i | ||||
\(946\) | −1.64067e9 | − | 6.41068e9i | −0.0630089 | − | 0.246199i | ||||
\(947\) | −2.58582e10 | − | 1.49292e10i | −0.989403 | − | 0.571232i | −0.0843074 | − | 0.996440i | \(-0.526868\pi\) |
−0.905096 | + | 0.425208i | \(0.860201\pi\) | |||||||
\(948\) | 6.34337e9 | − | 3.47446e9i | 0.241819 | − | 0.132452i | ||||
\(949\) | 3.88445e10i | 1.47536i | ||||||||
\(950\) | 2.44643e10 | + | 6.20888e9i | 0.925762 | + | 0.234953i | ||||
\(951\) | − | 8.29196e10i | − | 3.12626i | ||||||
\(952\) | 1.37960e9 | + | 5.94431e9i | 0.0518230 | + | 0.223291i | ||||
\(953\) | 1.26103e10 | + | 7.28058e9i | 0.471956 | + | 0.272484i | 0.717058 | − | 0.697013i | \(-0.245488\pi\) |
−0.245102 | + | 0.969497i | \(0.578821\pi\) | |||||||
\(954\) | 8.49572e10 | − | 2.17429e10i | 3.16797 | − | 0.810770i | ||||
\(955\) | −5.79638e9 | − | 3.34654e9i | −0.215350 | − | 0.124332i | ||||
\(956\) | 2.29170e10 | + | 5.15718e8i | 0.848311 | + | 0.0190902i | ||||
\(957\) | 3.55746e10 | 1.31204 | ||||||||
\(958\) | −5.34681e9 | + | 1.90928e10i | −0.196479 | + | 0.701600i | ||||
\(959\) | 1.26891e10 | − | 7.32608e9i | 0.464587 | − | 0.268229i | ||||
\(960\) | −9.59403e9 | + | 4.70682e9i | −0.349987 | + | 0.171703i | ||||
\(961\) | −2.32428e10 | −0.844804 | ||||||||
\(962\) | 2.44051e10 | + | 6.83448e9i | 0.883826 | + | 0.247510i | ||||
\(963\) | 8.05820e9 | + | 1.39572e10i | 0.290768 | + | 0.503624i | ||||
\(964\) | −8.53243e9 | − | 1.55778e10i | −0.306763 | − | 0.560063i | ||||
\(965\) | 7.27861e8 | − | 4.20231e8i | 0.0260737 | − | 0.0150537i | ||||
\(966\) | 7.76364e10 | − | 7.59090e10i | 2.77106 | − | 2.70940i | ||||
\(967\) | −2.19431e10 | − | 1.26688e10i | −0.780377 | − | 0.450551i | 0.0561870 | − | 0.998420i | \(-0.482106\pi\) |
−0.836564 | + | 0.547869i | \(0.815439\pi\) | |||||||
\(968\) | 1.22407e10 | + | 1.30961e10i | 0.433751 | + | 0.464064i | ||||
\(969\) | 3.45508e9 | + | 5.65946e9i | 0.121990 | + | 0.199821i | ||||
\(970\) | −2.38547e9 | + | 8.51819e9i | −0.0839213 | + | 0.299672i | ||||
\(971\) | −2.09301e10 | + | 3.62520e10i | −0.733675 | + | 1.27076i | 0.221627 | + | 0.975132i | \(0.428863\pi\) |
−0.955302 | + | 0.295632i | \(0.904470\pi\) | |||||||
\(972\) | 4.25022e10 | − | 2.32797e10i | 1.48450 | − | 0.813104i | ||||
\(973\) | 2.15635e10 | + | 3.73491e10i | 0.750455 | + | 1.29983i | ||||
\(974\) | −2.95970e10 | + | 2.89384e10i | −1.02634 | + | 1.00350i | ||||
\(975\) | −4.71040e10 | + | 2.71955e10i | −1.62758 | + | 0.939683i | ||||
\(976\) | −7.15127e9 | − | 1.37834e10i | −0.246212 | − | 0.474551i | ||||
\(977\) | 3.97668e10i | 1.36424i | 0.731242 | + | 0.682118i | \(0.238941\pi\) | ||||
−0.731242 | + | 0.682118i | \(0.761059\pi\) | |||||||
\(978\) | 2.71253e10 | − | 6.94212e9i | 0.927234 | − | 0.237304i | ||||
\(979\) | 1.08463e10 | + | 1.87864e10i | 0.369440 | + | 0.639888i | ||||
\(980\) | −1.19796e10 | − | 7.28059e9i | −0.406584 | − | 0.247101i | ||||
\(981\) | − | 3.17029e10i | − | 1.07215i | ||||||
\(982\) | −5.12821e9 | + | 1.31245e9i | −0.172813 | + | 0.0442275i | ||||
\(983\) | −6.24100e9 | + | 1.08097e10i | −0.209564 | + | 0.362976i | −0.951577 | − | 0.307409i | \(-0.900538\pi\) |
0.742013 | + | 0.670385i | \(0.233871\pi\) | |||||||
\(984\) | 7.52973e10 | + | 2.29255e10i | 2.51940 | + | 0.767072i | ||||
\(985\) | −1.87124e9 | + | 3.24107e9i | −0.0623881 | + | 0.108059i | ||||
\(986\) | −3.16109e9 | − | 3.23302e9i | −0.105019 | − | 0.107409i | ||||
\(987\) | 2.42020e9 | 0.0801201 | ||||||||
\(988\) | −1.62653e10 | − | 2.80424e10i | −0.536553 | − | 0.925052i | ||||
\(989\) | 1.49654e10 | 0.491929 | ||||||||
\(990\) | 6.51552e9 | + | 6.66380e9i | 0.213416 | + | 0.218272i | ||||
\(991\) | −3.25599e9 | + | 5.63954e9i | −0.106274 | + | 0.184071i | −0.914258 | − | 0.405133i | \(-0.867225\pi\) |
0.807984 | + | 0.589204i | \(0.200559\pi\) | |||||||
\(992\) | 9.03273e9 | − | 8.06971e9i | 0.293784 | − | 0.262462i | ||||
\(993\) | 4.09757e10 | − | 7.09720e10i | 1.32802 | − | 2.30019i | ||||
\(994\) | 2.31677e10 | − | 5.92924e9i | 0.748222 | − | 0.191490i | ||||
\(995\) | − | 1.27393e9i | − | 0.0409981i | ||||||
\(996\) | 1.59216e10 | − | 2.61976e10i | 0.510599 | − | 0.840146i | ||||
\(997\) | 1.32158e10 | + | 2.28905e10i | 0.422339 | + | 0.731512i | 0.996168 | − | 0.0874630i | \(-0.0278760\pi\) |
−0.573829 | + | 0.818975i | \(0.694543\pi\) | |||||||
\(998\) | −2.43002e10 | + | 6.21909e9i | −0.773845 | + | 0.198048i | ||||
\(999\) | − | 6.89537e10i | − | 2.18816i |
(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 | 76.8.f.a.27.16 | ✓ | 136 | |
4.3 | odd | 2 | inner | 76.8.f.a.27.40 | yes | 136 | |
19.12 | odd | 6 | inner | 76.8.f.a.31.40 | yes | 136 | |
76.31 | even | 6 | inner | 76.8.f.a.31.16 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
76.8.f.a.27.16 | ✓ | 136 | 1.1 | even | 1 | trivial | |
76.8.f.a.27.40 | yes | 136 | 4.3 | odd | 2 | inner | |
76.8.f.a.31.16 | yes | 136 | 76.31 | even | 6 | inner | |
76.8.f.a.31.40 | yes | 136 | 19.12 | odd | 6 | inner |