Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,8,Mod(11,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("37.11");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.e (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: | \(11.5582459429\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 37.11 |
Dual form | 37.8.e.a.27.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.63260 | − | 2.09728i | 0.321079 | − | 0.185375i | −0.330794 | − | 0.943703i | \(-0.607317\pi\) |
0.651874 | + | 0.758328i | \(0.273983\pi\) | |||||||
\(3\) | 24.6553 | − | 42.7042i | 0.527212 | − | 0.913158i | −0.472285 | − | 0.881446i | \(-0.656571\pi\) |
0.999497 | − | 0.0317124i | \(-0.0100961\pi\) | |||||||
\(4\) | −55.2028 | + | 95.6141i | −0.431272 | + | 0.746985i | ||||
\(5\) | 292.816 | + | 169.058i | 1.04761 | + | 0.604839i | 0.921980 | − | 0.387238i | \(-0.126571\pi\) |
0.125632 | + | 0.992077i | \(0.459904\pi\) | |||||||
\(6\) | − | 206.836i | − | 0.390928i | ||||||
\(7\) | −480.087 | + | 831.535i | −0.529025 | + | 0.916299i | 0.470402 | + | 0.882452i | \(0.344109\pi\) |
−0.999427 | + | 0.0338464i | \(0.989224\pi\) | |||||||
\(8\) | 1000.01i | 0.690539i | ||||||||
\(9\) | −122.265 | − | 211.770i | −0.0559055 | − | 0.0968312i | ||||
\(10\) | 1418.24 | 0.448488 | ||||||||
\(11\) | 333.058 | 0.0754476 | 0.0377238 | − | 0.999288i | \(-0.487989\pi\) | ||||
0.0377238 | + | 0.999288i | \(0.487989\pi\) | |||||||
\(12\) | 2722.08 | + | 4714.78i | 0.454744 | + | 0.787639i | ||||
\(13\) | 4185.38 | + | 2416.43i | 0.528364 | + | 0.305051i | 0.740350 | − | 0.672222i | \(-0.234660\pi\) |
−0.211986 | + | 0.977273i | \(0.567993\pi\) | |||||||
\(14\) | 4027.51i | 0.392273i | ||||||||
\(15\) | 14438.9 | − | 8336.32i | 1.10463 | − | 0.637757i | ||||
\(16\) | −4968.66 | − | 8605.98i | −0.303263 | − | 0.525267i | ||||
\(17\) | 15806.4 | − | 9125.82i | 0.780300 | − | 0.450506i | −0.0562367 | − | 0.998417i | \(-0.517910\pi\) |
0.836537 | + | 0.547911i | \(0.184577\pi\) | |||||||
\(18\) | −888.282 | − | 512.850i | −0.0359002 | − | 0.0207270i | ||||
\(19\) | 7849.66 | + | 4532.00i | 0.262551 | + | 0.151584i | 0.625498 | − | 0.780226i | \(-0.284896\pi\) |
−0.362947 | + | 0.931810i | \(0.618229\pi\) | |||||||
\(20\) | −32328.6 | + | 18664.9i | −0.903611 | + | 0.521700i | ||||
\(21\) | 23673.3 | + | 41003.4i | 0.557817 | + | 0.966168i | ||||
\(22\) | 1209.86 | − | 698.516i | 0.0242246 | − | 0.0139861i | ||||
\(23\) | 57449.5i | 0.984552i | 0.870439 | + | 0.492276i | \(0.163835\pi\) | ||||
−0.870439 | + | 0.492276i | \(0.836165\pi\) | |||||||
\(24\) | 42704.5 | + | 24655.5i | 0.630572 | + | 0.364061i | ||||
\(25\) | 18098.4 | + | 31347.4i | 0.231660 | + | 0.401246i | ||||
\(26\) | 20271.7 | 0.226196 | ||||||||
\(27\) | 95784.2 | 0.936528 | ||||||||
\(28\) | −53004.3 | − | 91806.1i | −0.456308 | − | 0.790348i | ||||
\(29\) | 56174.4i | 0.427706i | 0.976866 | + | 0.213853i | \(0.0686014\pi\) | ||||
−0.976866 | + | 0.213853i | \(0.931399\pi\) | |||||||
\(30\) | 34967.2 | − | 60565.0i | 0.236449 | − | 0.409541i | ||||
\(31\) | − | 135018.i | − | 0.814003i | −0.913427 | − | 0.407002i | \(-0.866574\pi\) | ||
0.913427 | − | 0.407002i | \(-0.133426\pi\) | |||||||
\(32\) | −146950. | − | 84841.8i | −0.792767 | − | 0.457704i | ||||
\(33\) | 8211.63 | − | 14223.0i | 0.0397769 | − | 0.0688956i | ||||
\(34\) | 38278.8 | − | 66300.9i | 0.167025 | − | 0.289296i | ||||
\(35\) | −281154. | + | 162325.i | −1.10843 | + | 0.639950i | ||||
\(36\) | 26997.6 | 0.0964419 | ||||||||
\(37\) | −227421. | − | 207874.i | −0.738115 | − | 0.674674i | ||||
\(38\) | 38019.5 | 0.112399 | ||||||||
\(39\) | 206383. | − | 119156.i | 0.557120 | − | 0.321653i | ||||
\(40\) | −169059. | + | 292818.i | −0.417665 | + | 0.723416i | ||||
\(41\) | −216168. | + | 374414.i | −0.489833 | + | 0.848415i | −0.999932 | − | 0.0117007i | \(-0.996275\pi\) |
0.510099 | + | 0.860116i | \(0.329609\pi\) | |||||||
\(42\) | 171991. | + | 99299.3i | 0.358207 | + | 0.206811i | ||||
\(43\) | − | 667300.i | − | 1.27992i | −0.768410 | − | 0.639958i | \(-0.778952\pi\) | ||
0.768410 | − | 0.639958i | \(-0.221048\pi\) | |||||||
\(44\) | −18385.7 | + | 31845.0i | −0.0325384 | + | 0.0563582i | ||||
\(45\) | − | 82679.5i | − | 0.135255i | ||||||
\(46\) | 120488. | + | 208691.i | 0.182512 | + | 0.316119i | ||||
\(47\) | −569600. | −0.800253 | −0.400127 | − | 0.916460i | \(-0.631034\pi\) | ||||
−0.400127 | + | 0.916460i | \(0.631034\pi\) | |||||||
\(48\) | −490015. | −0.639536 | ||||||||
\(49\) | −49195.0 | − | 85208.2i | −0.0597357 | − | 0.103465i | ||||
\(50\) | 131488. | + | 75914.9i | 0.148762 | + | 0.0858879i | ||||
\(51\) | − | 899999.i | − | 0.950050i | ||||||
\(52\) | −462090. | + | 266788.i | −0.455737 | + | 0.263120i | ||||
\(53\) | −235008. | − | 407046.i | −0.216829 | − | 0.375559i | 0.737008 | − | 0.675884i | \(-0.236238\pi\) |
−0.953837 | + | 0.300325i | \(0.902905\pi\) | |||||||
\(54\) | 347946. | − | 200886.i | 0.300700 | − | 0.173609i | ||||
\(55\) | 97524.7 | + | 56305.9i | 0.0790397 | + | 0.0456336i | ||||
\(56\) | −831541. | − | 480090.i | −0.632740 | − | 0.365313i | ||||
\(57\) | 387071. | − | 223476.i | 0.276840 | − | 0.159834i | ||||
\(58\) | 117814. | + | 204059.i | 0.0792861 | + | 0.137328i | ||||
\(59\) | 2.23076e6 | − | 1.28793e6i | 1.41407 | − | 0.816415i | 0.418303 | − | 0.908308i | \(-0.362625\pi\) |
0.995769 | + | 0.0918928i | \(0.0292917\pi\) | |||||||
\(60\) | 1.84075e6i | 1.10019i | ||||||||
\(61\) | 1.76510e6 | + | 1.01908e6i | 0.995667 | + | 0.574848i | 0.906963 | − | 0.421210i | \(-0.138394\pi\) |
0.0887034 | + | 0.996058i | \(0.471728\pi\) | |||||||
\(62\) | −283171. | − | 490466.i | −0.150896 | − | 0.261360i | ||||
\(63\) | 234792. | 0.118302 | ||||||||
\(64\) | 560229. | 0.267138 | ||||||||
\(65\) | 817032. | + | 1.41514e6i | 0.369013 | + | 0.639150i | ||||
\(66\) | − | 68888.4i | − | 0.0294946i | ||||||
\(67\) | −614213. | + | 1.06385e6i | −0.249492 | + | 0.432133i | −0.963385 | − | 0.268122i | \(-0.913597\pi\) |
0.713893 | + | 0.700255i | \(0.246930\pi\) | |||||||
\(68\) | 2.01508e6i | 0.777163i | ||||||||
\(69\) | 2.45333e6 | + | 1.41643e6i | 0.899052 | + | 0.519068i | ||||
\(70\) | −680880. | + | 1.17932e6i | −0.237262 | + | 0.410949i | ||||
\(71\) | −1.51939e6 | + | 2.63167e6i | −0.503809 | + | 0.872624i | 0.496181 | + | 0.868219i | \(0.334735\pi\) |
−0.999990 | + | 0.00440434i | \(0.998598\pi\) | |||||||
\(72\) | 211771. | − | 122266.i | 0.0668657 | − | 0.0386049i | ||||
\(73\) | 2.37565e6 | 0.714747 | 0.357374 | − | 0.933961i | \(-0.383672\pi\) | ||||
0.357374 | + | 0.933961i | \(0.383672\pi\) | |||||||
\(74\) | −1.26210e6 | − | 278157.i | −0.362061 | − | 0.0797957i | ||||
\(75\) | 1.78488e6 | 0.488535 | ||||||||
\(76\) | −866647. | + | 500359.i | −0.226462 | + | 0.130748i | ||||
\(77\) | −159897. | + | 276949.i | −0.0399137 | + | 0.0691325i | ||||
\(78\) | 499805. | − | 865688.i | 0.119253 | − | 0.206552i | ||||
\(79\) | −5.10200e6 | − | 2.94564e6i | −1.16425 | − | 0.672179i | −0.211930 | − | 0.977285i | \(-0.567975\pi\) |
−0.952318 | + | 0.305106i | \(0.901308\pi\) | |||||||
\(80\) | − | 3.35996e6i | − | 0.733701i | ||||||
\(81\) | 2.62898e6 | − | 4.55353e6i | 0.549655 | − | 0.952030i | ||||
\(82\) | 1.81346e6i | 0.363211i | ||||||||
\(83\) | −1.48157e6 | − | 2.56616e6i | −0.284413 | − | 0.492618i | 0.688053 | − | 0.725660i | \(-0.258465\pi\) |
−0.972467 | + | 0.233042i | \(0.925132\pi\) | |||||||
\(84\) | −5.22734e6 | −0.962284 | ||||||||
\(85\) | 6.17116e6 | 1.08993 | ||||||||
\(86\) | −1.39952e6 | − | 2.42403e6i | −0.237265 | − | 0.410955i | ||||
\(87\) | 2.39888e6 | + | 1.38500e6i | 0.390564 | + | 0.225492i | ||||
\(88\) | 333060.i | 0.0520995i | ||||||||
\(89\) | 7.69370e6 | − | 4.44196e6i | 1.15683 | − | 0.667897i | 0.206289 | − | 0.978491i | \(-0.433861\pi\) |
0.950543 | + | 0.310594i | \(0.100528\pi\) | |||||||
\(90\) | −173402. | − | 300341.i | −0.0250730 | − | 0.0434277i | ||||
\(91\) | −4.01869e6 | + | 2.32019e6i | −0.559036 | + | 0.322760i | ||||
\(92\) | −5.49298e6 | − | 3.17137e6i | −0.735446 | − | 0.424610i | ||||
\(93\) | −5.76584e6 | − | 3.32891e6i | −0.743314 | − | 0.429152i | ||||
\(94\) | −2.06913e6 | + | 1.19461e6i | −0.256945 | + | 0.148347i | ||||
\(95\) | 1.53234e6 | + | 2.65409e6i | 0.183367 | + | 0.317602i | ||||
\(96\) | −7.24620e6 | + | 4.18360e6i | −0.835913 | + | 0.482615i | ||||
\(97\) | 2.55162e6i | 0.283867i | 0.989876 | + | 0.141934i | \(0.0453319\pi\) | ||||
−0.989876 | + | 0.141934i | \(0.954668\pi\) | |||||||
\(98\) | −357411. | − | 206351.i | −0.0383598 | − | 0.0221471i | ||||
\(99\) | −40721.4 | − | 70531.6i | −0.00421793 | − | 0.00730568i | ||||
\(100\) | −3.99633e6 | −0.399633 | ||||||||
\(101\) | −9.55080e6 | −0.922391 | −0.461195 | − | 0.887299i | \(-0.652579\pi\) | ||||
−0.461195 | + | 0.887299i | \(0.652579\pi\) | |||||||
\(102\) | −1.88755e6 | − | 3.26933e6i | −0.176116 | − | 0.305041i | ||||
\(103\) | − | 9.76895e6i | − | 0.880882i | −0.897782 | − | 0.440441i | \(-0.854822\pi\) | ||
0.897782 | − | 0.440441i | \(-0.145178\pi\) | |||||||
\(104\) | −2.41645e6 | + | 4.18541e6i | −0.210650 | + | 0.364856i | ||||
\(105\) | 1.60086e7i | 1.34956i | ||||||||
\(106\) | −1.70738e6 | − | 985756.i | −0.139239 | − | 0.0803894i | ||||
\(107\) | 7.48747e6 | − | 1.29687e7i | 0.590870 | − | 1.02342i | −0.403246 | − | 0.915092i | \(-0.632118\pi\) |
0.994116 | − | 0.108325i | \(-0.0345486\pi\) | |||||||
\(108\) | −5.28756e6 | + | 9.15832e6i | −0.403898 | + | 0.699573i | ||||
\(109\) | 1.96196e7 | − | 1.13274e7i | 1.45110 | − | 0.837792i | 0.452554 | − | 0.891737i | \(-0.350513\pi\) |
0.998544 | + | 0.0539457i | \(0.0171798\pi\) | |||||||
\(110\) | 472357. | 0.0338373 | ||||||||
\(111\) | −1.44842e7 | + | 4.58663e6i | −1.00523 | + | 0.318320i | ||||
\(112\) | 9.54156e6 | 0.641736 | ||||||||
\(113\) | 2.23930e7 | − | 1.29286e7i | 1.45995 | − | 0.842903i | 0.460943 | − | 0.887430i | \(-0.347511\pi\) |
0.999008 | + | 0.0445269i | \(0.0141781\pi\) | |||||||
\(114\) | 937382. | − | 1.62359e6i | 0.0592584 | − | 0.102638i | ||||
\(115\) | −9.71227e6 | + | 1.68221e7i | −0.595495 | + | 1.03143i | ||||
\(116\) | −5.37107e6 | − | 3.10099e6i | −0.319490 | − | 0.184458i | ||||
\(117\) | − | 1.18178e6i | − | 0.0682162i | ||||||
\(118\) | 5.40231e6 | − | 9.35708e6i | 0.302686 | − | 0.524268i | ||||
\(119\) | 1.75247e7i | 0.953317i | ||||||||
\(120\) | 8.33638e6 | + | 1.44390e7i | 0.440396 | + | 0.762788i | ||||
\(121\) | −1.93762e7 | −0.994308 | ||||||||
\(122\) | 8.54918e6 | 0.426251 | ||||||||
\(123\) | 1.06594e7 | + | 1.84626e7i | 0.516492 | + | 0.894590i | ||||
\(124\) | 1.29096e7 | + | 7.45338e6i | 0.608048 | + | 0.351057i | ||||
\(125\) | − | 1.41766e7i | − | 0.649211i | ||||||
\(126\) | 852904. | − | 492425.i | 0.0379842 | − | 0.0219302i | ||||
\(127\) | −1.60711e7 | − | 2.78360e7i | −0.696200 | − | 1.20585i | −0.969775 | − | 0.244003i | \(-0.921539\pi\) |
0.273575 | − | 0.961851i | \(-0.411794\pi\) | |||||||
\(128\) | 2.08447e7 | − | 1.20347e7i | 0.878540 | − | 0.507225i | ||||
\(129\) | −2.84965e7 | − | 1.64525e7i | −1.16877 | − | 0.674788i | ||||
\(130\) | 5.93590e6 | + | 3.42709e6i | 0.236965 | + | 0.136812i | ||||
\(131\) | −8.15356e6 | + | 4.70746e6i | −0.316882 | + | 0.182952i | −0.650002 | − | 0.759933i | \(-0.725232\pi\) |
0.333120 | + | 0.942884i | \(0.391899\pi\) | |||||||
\(132\) | 906610. | + | 1.57030e6i | 0.0343093 | + | 0.0594255i | ||||
\(133\) | −7.53703e6 | + | 4.35151e6i | −0.277792 | + | 0.160383i | ||||
\(134\) | 5.15271e6i | 0.184999i | ||||||||
\(135\) | 2.80472e7 | + | 1.61930e7i | 0.981118 | + | 0.566448i | ||||
\(136\) | 9.12589e6 | + | 1.58065e7i | 0.311092 | + | 0.538827i | ||||
\(137\) | 2.59733e7 | 0.862989 | 0.431494 | − | 0.902116i | \(-0.357986\pi\) | ||||
0.431494 | + | 0.902116i | \(0.357986\pi\) | |||||||
\(138\) | 1.18826e7 | 0.384889 | ||||||||
\(139\) | 7.63162e6 | + | 1.32184e7i | 0.241027 | + | 0.417470i | 0.961007 | − | 0.276524i | \(-0.0891826\pi\) |
−0.719980 | + | 0.693994i | \(0.755849\pi\) | |||||||
\(140\) | − | 3.58431e7i | − | 1.10397i | ||||||
\(141\) | −1.40436e7 | + | 2.43243e7i | −0.421903 | + | 0.730758i | ||||
\(142\) | 1.27464e7i | 0.373575i | ||||||||
\(143\) | 1.39397e6 | + | 804811.i | 0.0398638 | + | 0.0230154i | ||||
\(144\) | −1.21499e6 | + | 2.10443e6i | −0.0339082 | + | 0.0587307i | ||||
\(145\) | −9.49671e6 | + | 1.64488e7i | −0.258693 | + | 0.448070i | ||||
\(146\) | 8.62978e6 | − | 4.98241e6i | 0.229491 | − | 0.132496i | ||||
\(147\) | −4.85166e6 | −0.125974 | ||||||||
\(148\) | 3.24300e7 | − | 1.02694e7i | 0.822300 | − | 0.260393i | ||||
\(149\) | −2.88591e7 | −0.714711 | −0.357355 | − | 0.933969i | \(-0.616321\pi\) | ||||
−0.357355 | + | 0.933969i | \(0.616321\pi\) | |||||||
\(150\) | 6.48377e6 | − | 3.74340e6i | 0.156858 | − | 0.0905623i | ||||
\(151\) | −1.30489e7 | + | 2.26014e7i | −0.308429 | + | 0.534214i | −0.978019 | − | 0.208517i | \(-0.933136\pi\) |
0.669590 | + | 0.742731i | \(0.266470\pi\) | |||||||
\(152\) | −4.53204e6 | + | 7.84972e6i | −0.104674 | + | 0.181301i | ||||
\(153\) | −3.86515e6 | − | 2.23154e6i | −0.0872461 | − | 0.0503716i | ||||
\(154\) | 1.34139e6i | 0.0295960i | ||||||||
\(155\) | 2.28258e7 | − | 3.95355e7i | 0.492341 | − | 0.852759i | ||||
\(156\) | 2.63109e7i | 0.554881i | ||||||||
\(157\) | 3.88606e7 | + | 6.73085e7i | 0.801420 | + | 1.38810i | 0.918681 | + | 0.394999i | \(0.129255\pi\) |
−0.117261 | + | 0.993101i | \(0.537411\pi\) | |||||||
\(158\) | −2.47113e7 | −0.498421 | ||||||||
\(159\) | −2.31768e7 | −0.457259 | ||||||||
\(160\) | −2.86863e7 | − | 4.96861e7i | −0.553675 | − | 0.958993i | ||||
\(161\) | −4.77712e7 | − | 2.75807e7i | −0.902144 | − | 0.520853i | ||||
\(162\) | − | 2.20549e7i | − | 0.407569i | ||||||
\(163\) | 2.20358e7 | − | 1.27224e7i | 0.398540 | − | 0.230097i | −0.287314 | − | 0.957836i | \(-0.592762\pi\) |
0.685854 | + | 0.727739i | \(0.259429\pi\) | |||||||
\(164\) | −2.38662e7 | − | 4.13374e7i | −0.422502 | − | 0.731795i | ||||
\(165\) | 4.80900e6 | − | 2.77648e6i | 0.0833414 | − | 0.0481172i | ||||
\(166\) | −1.07639e7 | − | 6.21455e6i | −0.182638 | − | 0.105446i | ||||
\(167\) | −9.29195e7 | − | 5.36471e7i | −1.54383 | − | 0.891331i | −0.998592 | − | 0.0530493i | \(-0.983106\pi\) |
−0.545238 | − | 0.838281i | \(-0.683561\pi\) | |||||||
\(168\) | −4.10037e7 | + | 2.36735e7i | −0.667177 | + | 0.385195i | ||||
\(169\) | −1.96960e7 | − | 3.41144e7i | −0.313888 | − | 0.543669i | ||||
\(170\) | 2.24173e7 | − | 1.29427e7i | 0.349955 | − | 0.202047i | ||||
\(171\) | − | 2.21643e6i | − | 0.0338975i | ||||||
\(172\) | 6.38033e7 | + | 3.68368e7i | 0.956078 | + | 0.551992i | ||||
\(173\) | 4.69150e7 | + | 8.12592e7i | 0.688891 | + | 1.19319i | 0.972197 | + | 0.234165i | \(0.0752357\pi\) |
−0.283305 | + | 0.959030i | \(0.591431\pi\) | |||||||
\(174\) | 1.16189e7 | 0.167203 | ||||||||
\(175\) | −3.47552e7 | −0.490215 | ||||||||
\(176\) | −1.65485e6 | − | 2.86629e6i | −0.0228805 | − | 0.0396301i | ||||
\(177\) | − | 1.27017e8i | − | 1.72170i | ||||||
\(178\) | 1.86321e7 | − | 3.22717e7i | 0.247623 | − | 0.428896i | ||||
\(179\) | − | 2.99691e6i | − | 0.0390560i | −0.999809 | − | 0.0195280i | \(-0.993784\pi\) | ||
0.999809 | − | 0.0195280i | \(-0.00621636\pi\) | |||||||
\(180\) | 7.90533e6 | + | 4.56414e6i | 0.101034 | + | 0.0583318i | ||||
\(181\) | −7.54173e7 | + | 1.30627e8i | −0.945358 | + | 1.63741i | −0.190325 | + | 0.981721i | \(0.560954\pi\) |
−0.755033 | + | 0.655687i | \(0.772379\pi\) | |||||||
\(182\) | −9.73219e6 | + | 1.68567e7i | −0.119663 | + | 0.207263i | ||||
\(183\) | 8.70379e7 | − | 5.02513e7i | 1.04986 | − | 0.606134i | ||||
\(184\) | −5.74499e7 | −0.679872 | ||||||||
\(185\) | −3.14498e7 | − | 9.93161e7i | −0.365189 | − | 1.15324i | ||||
\(186\) | −2.79266e7 | −0.318217 | ||||||||
\(187\) | 5.26444e6 | − | 3.03943e6i | 0.0588717 | − | 0.0339896i | ||||
\(188\) | 3.14435e7 | − | 5.44618e7i | 0.345127 | − | 0.597777i | ||||
\(189\) | −4.59847e7 | + | 7.96479e7i | −0.495447 | + | 0.858140i | ||||
\(190\) | 1.11327e7 | + | 6.42749e6i | 0.117751 | + | 0.0679835i | ||||
\(191\) | − | 1.22934e8i | − | 1.27660i | −0.769788 | − | 0.638300i | \(-0.779638\pi\) | ||
0.769788 | − | 0.638300i | \(-0.220362\pi\) | |||||||
\(192\) | 1.38126e7 | − | 2.39241e7i | 0.140839 | − | 0.243940i | ||||
\(193\) | 1.33916e8i | 1.34085i | 0.741976 | + | 0.670427i | \(0.233889\pi\) | ||||
−0.741976 | + | 0.670427i | \(0.766111\pi\) | |||||||
\(194\) | 5.35147e6 | + | 9.26901e6i | 0.0526219 | + | 0.0911438i | ||||
\(195\) | 8.05766e7 | 0.778194 | ||||||||
\(196\) | 1.08628e7 | 0.103049 | ||||||||
\(197\) | 1.94932e7 | + | 3.37633e7i | 0.181657 | + | 0.314639i | 0.942445 | − | 0.334361i | \(-0.108521\pi\) |
−0.760788 | + | 0.649001i | \(0.775187\pi\) | |||||||
\(198\) | −295849. | − | 170809.i | −0.00270858 | − | 0.00156380i | ||||
\(199\) | 1.54091e8i | 1.38609i | 0.720896 | + | 0.693044i | \(0.243731\pi\) | ||||
−0.720896 | + | 0.693044i | \(0.756269\pi\) | |||||||
\(200\) | −3.13476e7 | + | 1.80985e7i | −0.277076 | + | 0.159970i | ||||
\(201\) | 3.02872e7 | + | 5.24589e7i | 0.263071 | + | 0.455652i | ||||
\(202\) | −3.46942e7 | + | 2.00307e7i | −0.296161 | + | 0.170988i | ||||
\(203\) | −4.67110e7 | − | 2.69686e7i | −0.391907 | − | 0.226267i | ||||
\(204\) | 8.60526e7 | + | 4.96825e7i | 0.709673 | + | 0.409730i | ||||
\(205\) | −1.26595e8 | + | 7.30896e7i | −1.02631 | + | 0.592539i | ||||
\(206\) | −2.04882e7 | − | 3.54867e7i | −0.163294 | − | 0.282833i | ||||
\(207\) | 1.21661e7 | − | 7.02408e6i | 0.0953353 | − | 0.0550419i | ||||
\(208\) | − | 4.80257e7i | − | 0.370043i | ||||||
\(209\) | 2.61439e6 | + | 1.50942e6i | 0.0198088 | + | 0.0114366i | ||||
\(210\) | 3.35746e7 | + | 5.81529e7i | 0.250175 | + | 0.433315i | ||||
\(211\) | 1.29229e8 | 0.947048 | 0.473524 | − | 0.880781i | \(-0.342982\pi\) | ||||
0.473524 | + | 0.880781i | \(0.342982\pi\) | |||||||
\(212\) | 5.18924e7 | 0.374049 | ||||||||
\(213\) | 7.49222e7 | + | 1.29769e8i | 0.531229 | + | 0.920116i | ||||
\(214\) | − | 6.28133e7i | − | 0.438130i | ||||||
\(215\) | 1.12812e8 | − | 1.95396e8i | 0.774143 | − | 1.34085i | ||||
\(216\) | 9.57849e7i | 0.646709i | ||||||||
\(217\) | 1.12272e8 | + | 6.48204e7i | 0.745870 | + | 0.430628i | ||||
\(218\) | 4.75133e7 | − | 8.22955e7i | 0.310612 | − | 0.537995i | ||||
\(219\) | 5.85723e7 | − | 1.01450e8i | 0.376824 | − | 0.652678i | ||||
\(220\) | −1.07673e7 | + | 6.21649e6i | −0.0681752 | + | 0.0393610i | ||||
\(221\) | 8.82077e7 | 0.549710 | ||||||||
\(222\) | −4.29959e7 | + | 4.70389e7i | −0.263749 | + | 0.288550i | ||||
\(223\) | −3.13462e8 | −1.89286 | −0.946428 | − | 0.322914i | \(-0.895338\pi\) | ||||
−0.946428 | + | 0.322914i | \(0.895338\pi\) | |||||||
\(224\) | 1.41098e8 | − | 8.14629e7i | 0.838788 | − | 0.484275i | ||||
\(225\) | 4.42562e6 | − | 7.66539e6i | 0.0259021 | − | 0.0448637i | ||||
\(226\) | 5.42299e7 | − | 9.39289e7i | 0.312507 | − | 0.541277i | ||||
\(227\) | 9.91164e7 | + | 5.72249e7i | 0.562412 | + | 0.324709i | 0.754113 | − | 0.656744i | \(-0.228067\pi\) |
−0.191701 | + | 0.981453i | \(0.561400\pi\) | |||||||
\(228\) | 4.93459e7i | 0.275727i | ||||||||
\(229\) | 9.29813e7 | − | 1.61048e8i | 0.511648 | − | 0.886201i | −0.488260 | − | 0.872698i | \(-0.662368\pi\) |
0.999909 | − | 0.0135030i | \(-0.00429827\pi\) | |||||||
\(230\) | 8.14774e7i | 0.441560i | ||||||||
\(231\) | 7.88459e6 | + | 1.36565e7i | 0.0420860 | + | 0.0728950i | ||||
\(232\) | −5.61748e7 | −0.295348 | ||||||||
\(233\) | 9.96162e7 | 0.515922 | 0.257961 | − | 0.966155i | \(-0.416949\pi\) | ||||
0.257961 | + | 0.966155i | \(0.416949\pi\) | |||||||
\(234\) | −2.47853e6 | − | 4.29294e6i | −0.0126456 | − | 0.0219028i | ||||
\(235\) | −1.66788e8 | − | 9.62952e7i | −0.838355 | − | 0.484024i | ||||
\(236\) | 2.84390e8i | 1.40839i | ||||||||
\(237\) | −2.51582e8 | + | 1.45251e8i | −1.22761 | + | 0.708762i | ||||
\(238\) | 3.67543e7 | + | 6.36603e7i | 0.176721 | + | 0.306090i | ||||
\(239\) | −7.10420e7 | + | 4.10161e7i | −0.336607 | + | 0.194340i | −0.658770 | − | 0.752344i | \(-0.728923\pi\) |
0.322164 | + | 0.946684i | \(0.395590\pi\) | |||||||
\(240\) | −1.43484e8 | − | 8.28408e7i | −0.669986 | − | 0.386816i | ||||
\(241\) | 7.52865e7 | + | 4.34667e7i | 0.346464 | + | 0.200031i | 0.663127 | − | 0.748507i | \(-0.269229\pi\) |
−0.316663 | + | 0.948538i | \(0.602562\pi\) | |||||||
\(242\) | −7.03861e7 | + | 4.06374e7i | −0.319252 | + | 0.184320i | ||||
\(243\) | −2.48965e7 | − | 4.31219e7i | −0.111305 | − | 0.192786i | ||||
\(244\) | −1.94877e8 | + | 1.12512e8i | −0.858807 | + | 0.495832i | ||||
\(245\) | − | 3.32671e7i | − | 0.144522i | ||||||
\(246\) | 7.74423e7 | + | 4.47113e7i | 0.331669 | + | 0.191489i | ||||
\(247\) | 2.19025e7 | + | 3.79363e7i | 0.0924816 | + | 0.160183i | ||||
\(248\) | 1.35019e8 | 0.562101 | ||||||||
\(249\) | −1.46114e8 | −0.599785 | ||||||||
\(250\) | −2.97322e7 | − | 5.14977e7i | −0.120348 | − | 0.208448i | ||||
\(251\) | − | 3.10556e8i | − | 1.23960i | −0.784760 | − | 0.619800i | \(-0.787214\pi\) | ||
0.784760 | − | 0.619800i | \(-0.212786\pi\) | |||||||
\(252\) | −1.29612e7 | + | 2.24494e7i | −0.0510202 | + | 0.0883696i | ||||
\(253\) | 1.91340e7i | 0.0742820i | ||||||||
\(254\) | −1.16760e8 | − | 6.74114e7i | −0.447071 | − | 0.258116i | ||||
\(255\) | 1.52152e8 | − | 2.63534e8i | 0.574627 | − | 0.995283i | ||||
\(256\) | 1.46257e7 | − | 2.53324e7i | 0.0544849 | − | 0.0943706i | ||||
\(257\) | −2.22051e8 | + | 1.28201e8i | −0.815995 | + | 0.471115i | −0.849033 | − | 0.528339i | \(-0.822815\pi\) |
0.0330385 | + | 0.999454i | \(0.489482\pi\) | |||||||
\(258\) | −1.38022e8 | −0.500356 | ||||||||
\(259\) | 2.82036e8 | − | 8.93107e7i | 1.00869 | − | 0.319414i | ||||
\(260\) | −1.80410e8 | −0.636581 | ||||||||
\(261\) | 1.18960e7 | − | 6.86819e6i | 0.0414153 | − | 0.0239111i | ||||
\(262\) | −1.97457e7 | + | 3.42006e7i | −0.0678295 | + | 0.117484i | ||||
\(263\) | −1.62194e7 | + | 2.80928e7i | −0.0549781 | + | 0.0952248i | −0.892205 | − | 0.451631i | \(-0.850842\pi\) |
0.837227 | + | 0.546856i | \(0.184176\pi\) | |||||||
\(264\) | 1.42231e7 | + | 8.21169e6i | 0.0475751 | + | 0.0274675i | ||||
\(265\) | − | 1.58920e8i | − | 0.524586i | ||||||
\(266\) | −1.82527e7 | + | 3.16146e7i | −0.0594622 | + | 0.102991i | ||||
\(267\) | − | 4.38071e8i | − | 1.40849i | ||||||
\(268\) | −6.78125e7 | − | 1.17455e8i | −0.215198 | − | 0.372734i | ||||
\(269\) | 1.79214e8 | 0.561356 | 0.280678 | − | 0.959802i | \(-0.409441\pi\) | ||||
0.280678 | + | 0.959802i | \(0.409441\pi\) | |||||||
\(270\) | 1.35845e8 | 0.420022 | ||||||||
\(271\) | −6.60958e7 | − | 1.14481e8i | −0.201735 | − | 0.349416i | 0.747352 | − | 0.664428i | \(-0.231325\pi\) |
−0.949088 | + | 0.315012i | \(0.897991\pi\) | |||||||
\(272\) | −1.57073e8 | − | 9.06863e7i | −0.473272 | − | 0.273244i | ||||
\(273\) | 2.28820e8i | 0.680651i | ||||||||
\(274\) | 9.43505e7 | − | 5.44733e7i | 0.277088 | − | 0.159977i | ||||
\(275\) | 6.02781e6 | + | 1.04405e7i | 0.0174781 | + | 0.0302730i | ||||
\(276\) | −2.70862e8 | + | 1.56382e8i | −0.775472 | + | 0.447719i | ||||
\(277\) | −1.36070e8 | − | 7.85598e7i | −0.384664 | − | 0.222086i | 0.295181 | − | 0.955441i | \(-0.404620\pi\) |
−0.679846 | + | 0.733355i | \(0.737953\pi\) | |||||||
\(278\) | 5.54452e7 | + | 3.20113e7i | 0.154777 | + | 0.0893607i | ||||
\(279\) | −2.85928e7 | + | 1.65080e7i | −0.0788209 | + | 0.0455073i | ||||
\(280\) | −1.62326e8 | − | 2.81156e8i | −0.441910 | − | 0.765411i | ||||
\(281\) | −7.11162e7 | + | 4.10590e7i | −0.191204 | + | 0.110392i | −0.592546 | − | 0.805537i | \(-0.701877\pi\) |
0.401342 | + | 0.915928i | \(0.368544\pi\) | |||||||
\(282\) | 1.17814e8i | 0.312842i | ||||||||
\(283\) | 2.92152e8 | + | 1.68674e8i | 0.766226 | + | 0.442381i | 0.831527 | − | 0.555485i | \(-0.187467\pi\) |
−0.0653009 | + | 0.997866i | \(0.520801\pi\) | |||||||
\(284\) | −1.67750e8 | − | 2.90551e8i | −0.434558 | − | 0.752676i | ||||
\(285\) | 1.51121e8 | 0.386694 | ||||||||
\(286\) | 6.75166e6 | 0.0170659 | ||||||||
\(287\) | −2.07559e8 | − | 3.59502e8i | −0.518268 | − | 0.897666i | ||||
\(288\) | 4.14929e7i | 0.102353i | ||||||||
\(289\) | −3.86080e7 | + | 6.68710e7i | −0.0940882 | + | 0.162965i | ||||
\(290\) | 7.96691e7i | 0.191821i | ||||||||
\(291\) | 1.08965e8 | + | 6.29109e7i | 0.259216 | + | 0.149658i | ||||
\(292\) | −1.31143e8 | + | 2.27146e8i | −0.308251 | + | 0.533906i | ||||
\(293\) | −3.86372e8 | + | 6.69215e8i | −0.897364 | + | 1.55428i | −0.0665118 | + | 0.997786i | \(0.521187\pi\) |
−0.830852 | + | 0.556494i | \(0.812146\pi\) | |||||||
\(294\) | −1.76241e7 | + | 1.01753e7i | −0.0404475 | + | 0.0233524i | ||||
\(295\) | 8.70938e8 | 1.97520 | ||||||||
\(296\) | 2.07876e8 | − | 2.27423e8i | 0.465889 | − | 0.509697i | ||||
\(297\) | 3.19017e7 | 0.0706588 | ||||||||
\(298\) | −1.04833e8 | + | 6.05256e7i | −0.229479 | + | 0.132490i | ||||
\(299\) | −1.38823e8 | + | 2.40448e8i | −0.300339 | + | 0.520202i | ||||
\(300\) | −9.85307e7 | + | 1.70660e8i | −0.210692 | + | 0.364928i | ||||
\(301\) | 5.54883e8 | + | 3.20362e8i | 1.17279 | + | 0.677108i | ||||
\(302\) | 1.09469e8i | 0.228700i | ||||||||
\(303\) | −2.35478e8 | + | 4.07859e8i | −0.486296 | + | 0.842289i | ||||
\(304\) | − | 9.00720e7i | − | 0.183879i | ||||||
\(305\) | 3.44566e8 | + | 5.96806e8i | 0.695381 | + | 1.20444i | ||||
\(306\) | −1.87207e7 | −0.0373506 | ||||||||
\(307\) | 9.30643e8 | 1.83569 | 0.917844 | − | 0.396942i | \(-0.129928\pi\) | ||||
0.917844 | + | 0.396942i | \(0.129928\pi\) | |||||||
\(308\) | −1.76535e7 | − | 3.05767e7i | −0.0344273 | − | 0.0596298i | ||||
\(309\) | −4.17175e8 | − | 2.40856e8i | −0.804385 | − | 0.464412i | ||||
\(310\) | − | 1.91489e8i | − | 0.365071i | ||||||
\(311\) | −2.42245e8 | + | 1.39860e8i | −0.456661 | + | 0.263653i | −0.710639 | − | 0.703557i | \(-0.751594\pi\) |
0.253978 | + | 0.967210i | \(0.418261\pi\) | |||||||
\(312\) | 1.19156e8 | + | 2.06385e8i | 0.222114 | + | 0.384713i | ||||
\(313\) | −6.83678e7 | + | 3.94721e7i | −0.126022 | + | 0.0727588i | −0.561686 | − | 0.827351i | \(-0.689847\pi\) |
0.435664 | + | 0.900109i | \(0.356514\pi\) | |||||||
\(314\) | 2.82330e8 | + | 1.63003e8i | 0.514639 | + | 0.297127i | ||||
\(315\) | 6.87509e7 | + | 3.96933e7i | 0.123934 | + | 0.0715535i | ||||
\(316\) | 5.63289e8 | − | 3.25215e8i | 1.00422 | − | 0.579784i | ||||
\(317\) | 840676. | + | 1.45609e6i | 0.00148225 | + | 0.00256733i | 0.866766 | − | 0.498716i | \(-0.166195\pi\) |
−0.865283 | + | 0.501283i | \(0.832862\pi\) | |||||||
\(318\) | −8.41918e7 | + | 4.86082e7i | −0.146817 | + | 0.0847646i | ||||
\(319\) | 1.87093e7i | 0.0322694i | ||||||||
\(320\) | 1.64044e8 | + | 9.47110e7i | 0.279857 | + | 0.161576i | ||||
\(321\) | −3.69211e8 | − | 6.39492e8i | −0.623027 | − | 1.07912i | ||||
\(322\) | −2.31378e8 | −0.386213 | ||||||||
\(323\) | 1.65433e8 | 0.273158 | ||||||||
\(324\) | 2.90254e8 | + | 5.02735e8i | 0.474101 | + | 0.821168i | ||||
\(325\) | 1.74934e8i | 0.282672i | ||||||||
\(326\) | 5.33647e7 | − | 9.24304e7i | 0.0853086 | − | 0.147759i | ||||
\(327\) | − | 1.11712e9i | − | 1.76678i | ||||||
\(328\) | −3.74417e8 | − | 2.16169e8i | −0.585864 | − | 0.338249i | ||||
\(329\) | 2.73457e8 | − | 4.73642e8i | 0.423354 | − | 0.733271i | ||||
\(330\) | 1.16461e7 | − | 2.01716e7i | 0.0178395 | − | 0.0308989i | ||||
\(331\) | −4.89597e8 | + | 2.82669e8i | −0.742063 | + | 0.428430i | −0.822819 | − | 0.568304i | \(-0.807600\pi\) |
0.0807562 | + | 0.996734i | \(0.474266\pi\) | |||||||
\(332\) | 3.27148e8 | 0.490638 | ||||||||
\(333\) | −1.62158e7 | + | 7.35767e7i | −0.0240648 | + | 0.109191i | ||||
\(334\) | −4.50052e8 | −0.660922 | ||||||||
\(335\) | −3.59703e8 | + | 2.07675e8i | −0.522742 | + | 0.301805i | ||||
\(336\) | 2.35250e8 | − | 4.07465e8i | 0.338331 | − | 0.586006i | ||||
\(337\) | 5.28739e8 | − | 9.15802e8i | 0.752552 | − | 1.30346i | −0.194031 | − | 0.980995i | \(-0.562156\pi\) |
0.946582 | − | 0.322462i | \(-0.104511\pi\) | |||||||
\(338\) | −1.43095e8 | − | 8.26160e7i | −0.201566 | − | 0.116374i | ||||
\(339\) | − | 1.27503e9i | − | 1.77756i | ||||||
\(340\) | −3.40665e8 | + | 5.90050e8i | −0.470058 | + | 0.814165i | ||||
\(341\) | − | 4.49688e7i | − | 0.0614145i | ||||||
\(342\) | −4.64847e6 | − | 8.05139e6i | −0.00628375 | − | 0.0108838i | ||||
\(343\) | −6.96273e8 | −0.931644 | ||||||||
\(344\) | 6.67305e8 | 0.883832 | ||||||||
\(345\) | 4.78917e8 | + | 8.29509e8i | 0.627905 | + | 1.08756i | ||||
\(346\) | 3.40847e8 | + | 1.96788e8i | 0.442378 | + | 0.255407i | ||||
\(347\) | 8.55533e8i | 1.09922i | 0.835422 | + | 0.549609i | \(0.185223\pi\) | ||||
−0.835422 | + | 0.549609i | \(0.814777\pi\) | |||||||
\(348\) | −2.64850e8 | + | 1.52911e8i | −0.336878 | + | 0.194497i | ||||
\(349\) | −6.31642e7 | − | 1.09404e8i | −0.0795393 | − | 0.137766i | 0.823512 | − | 0.567299i | \(-0.192012\pi\) |
−0.903051 | + | 0.429533i | \(0.858678\pi\) | |||||||
\(350\) | −1.26252e8 | + | 7.28914e7i | −0.157398 | + | 0.0908737i | ||||
\(351\) | 4.00894e8 | + | 2.31456e8i | 0.494828 | + | 0.285689i | ||||
\(352\) | −4.89430e7 | − | 2.82572e7i | −0.0598124 | − | 0.0345327i | ||||
\(353\) | −3.03642e8 | + | 1.75308e8i | −0.367409 | + | 0.212124i | −0.672326 | − | 0.740255i | \(-0.734705\pi\) |
0.304917 | + | 0.952379i | \(0.401371\pi\) | |||||||
\(354\) | −2.66391e8 | − | 4.61403e8i | −0.319160 | − | 0.552801i | ||||
\(355\) | −8.89807e8 | + | 5.13730e8i | −1.05559 | + | 0.609447i | ||||
\(356\) | 9.80835e8i | 1.15218i | ||||||||
\(357\) | 7.48380e8 | + | 4.32077e8i | 0.870530 | + | 0.502600i | ||||
\(358\) | −6.28537e6 | − | 1.08866e7i | −0.00724002 | − | 0.0125401i | ||||
\(359\) | −1.08710e9 | −1.24005 | −0.620025 | − | 0.784582i | \(-0.712877\pi\) | ||||
−0.620025 | + | 0.784582i | \(0.712877\pi\) | |||||||
\(360\) | 8.26801e7 | 0.0933990 | ||||||||
\(361\) | −4.05858e8 | − | 7.02966e8i | −0.454045 | − | 0.786429i | ||||
\(362\) | 6.32685e8i | 0.700984i | ||||||||
\(363\) | −4.77727e8 | + | 8.27447e8i | −0.524211 | + | 0.907960i | ||||
\(364\) | − | 5.12325e8i | − | 0.556789i | ||||||
\(365\) | 6.95629e8 | + | 4.01622e8i | 0.748777 | + | 0.432307i | ||||
\(366\) | 2.10782e8 | − | 3.65086e8i | 0.224725 | − | 0.389234i | ||||
\(367\) | 5.11009e8 | − | 8.85094e8i | 0.539632 | − | 0.934670i | −0.459292 | − | 0.888285i | \(-0.651897\pi\) |
0.998924 | − | 0.0463843i | \(-0.0147699\pi\) | |||||||
\(368\) | 4.94409e8 | − | 2.85447e8i | 0.517153 | − | 0.298578i | ||||
\(369\) | 1.05719e8 | 0.109537 | ||||||||
\(370\) | −3.22538e8 | − | 2.94816e8i | −0.331036 | − | 0.302584i | ||||
\(371\) | 4.51297e8 | 0.458832 | ||||||||
\(372\) | 6.36581e8 | − | 3.67530e8i | 0.641141 | − | 0.370163i | ||||
\(373\) | −4.33973e8 | + | 7.51663e8i | −0.432994 | + | 0.749968i | −0.997130 | − | 0.0757147i | \(-0.975876\pi\) |
0.564136 | + | 0.825682i | \(0.309210\pi\) | |||||||
\(374\) | 1.27491e7 | − | 2.20820e7i | 0.0126017 | − | 0.0218267i | ||||
\(375\) | −6.05398e8 | − | 3.49527e8i | −0.592832 | − | 0.342272i | ||||
\(376\) | − | 5.69604e8i | − | 0.552606i | ||||||
\(377\) | −1.35742e8 | + | 2.35111e8i | −0.130472 | + | 0.225985i | ||||
\(378\) | 3.85772e8i | 0.367375i | ||||||||
\(379\) | −7.01870e8 | − | 1.21567e9i | −0.662246 | − | 1.14704i | −0.980024 | − | 0.198879i | \(-0.936270\pi\) |
0.317778 | − | 0.948165i | \(-0.397063\pi\) | |||||||
\(380\) | −3.38358e8 | −0.316325 | ||||||||
\(381\) | −1.58495e9 | −1.46818 | ||||||||
\(382\) | −2.57827e8 | − | 4.46569e8i | −0.236650 | − | 0.409890i | ||||
\(383\) | −6.58289e8 | − | 3.80063e8i | −0.598716 | − | 0.345669i | 0.169820 | − | 0.985475i | \(-0.445681\pi\) |
−0.768536 | + | 0.639806i | \(0.779015\pi\) | |||||||
\(384\) | − | 1.18688e9i | − | 1.06966i | ||||||
\(385\) | −9.36406e7 | + | 5.40635e7i | −0.0836280 | + | 0.0482827i | ||||
\(386\) | 2.80859e8 | + | 4.86462e8i | 0.248561 | + | 0.430520i | ||||
\(387\) | −1.41314e8 | + | 8.15877e7i | −0.123936 | + | 0.0715544i | ||||
\(388\) | −2.43971e8 | − | 1.40857e8i | −0.212044 | − | 0.122424i | ||||
\(389\) | −7.53409e8 | − | 4.34981e8i | −0.648944 | − | 0.374668i | 0.139108 | − | 0.990277i | \(-0.455577\pi\) |
−0.788051 | + | 0.615609i | \(0.788910\pi\) | |||||||
\(390\) | 2.92702e8 | − | 1.68992e8i | 0.249862 | − | 0.144258i | ||||
\(391\) | 5.24274e8 | + | 9.08069e8i | 0.443547 | + | 0.768246i | ||||
\(392\) | 8.52088e7 | − | 4.91953e7i | 0.0714469 | − | 0.0412499i | ||||
\(393\) | 4.64255e8i | 0.385818i | ||||||||
\(394\) | 1.41622e8 | + | 8.17656e7i | 0.116653 | + | 0.0673494i | ||||
\(395\) | −9.95965e8 | − | 1.72506e9i | −0.813120 | − | 1.40836i | ||||
\(396\) | 8.99175e6 | 0.00727631 | ||||||||
\(397\) | −4.53054e8 | −0.363399 | −0.181699 | − | 0.983354i | \(-0.558160\pi\) | ||||
−0.181699 | + | 0.983354i | \(0.558160\pi\) | |||||||
\(398\) | 3.23171e8 | + | 5.59749e8i | 0.256946 | + | 0.445044i | ||||
\(399\) | 4.29151e8i | 0.338224i | ||||||||
\(400\) | 1.79850e8 | − | 3.11509e8i | 0.140508 | − | 0.243366i | ||||
\(401\) | 1.54661e9i | 1.19778i | 0.800833 | + | 0.598888i | \(0.204391\pi\) | ||||
−0.800833 | + | 0.598888i | \(0.795609\pi\) | |||||||
\(402\) | 2.20042e8 | + | 1.27041e8i | 0.168933 | + | 0.0975336i | ||||
\(403\) | 3.26262e8 | − | 5.65102e8i | 0.248313 | − | 0.430090i | ||||
\(404\) | 5.27231e8 | − | 9.13191e8i | 0.397801 | − | 0.689012i | ||||
\(405\) | 1.53962e9 | − | 8.88898e8i | 1.15165 | − | 0.664905i | ||||
\(406\) | −2.26243e8 | −0.167778 | ||||||||
\(407\) | −7.57443e7 | − | 6.92341e7i | −0.0556890 | − | 0.0509025i | ||||
\(408\) | 9.00005e8 | 0.656046 | ||||||||
\(409\) | 7.10850e8 | − | 4.10409e8i | 0.513743 | − | 0.296610i | −0.220628 | − | 0.975358i | \(-0.570811\pi\) |
0.734371 | + | 0.678748i | \(0.237477\pi\) | |||||||
\(410\) | −3.06579e8 | + | 5.31010e8i | −0.219684 | + | 0.380504i | ||||
\(411\) | 6.40379e8 | − | 1.10917e9i | 0.454978 | − | 0.788045i | ||||
\(412\) | 9.34050e8 | + | 5.39274e8i | 0.658006 | + | 0.379900i | ||||
\(413\) | 2.47328e9i | 1.72762i | ||||||||
\(414\) | 2.94629e7 | − | 5.10313e7i | 0.0204068 | − | 0.0353456i | ||||
\(415\) | − | 1.00188e9i | − | 0.688096i | ||||||
\(416\) | −4.10029e8 | − | 7.10191e8i | −0.279247 | − | 0.483669i | ||||
\(417\) | 7.52639e8 | 0.508289 | ||||||||
\(418\) | 1.26627e7 | 0.00848026 | ||||||||
\(419\) | 4.73879e8 | + | 8.20782e8i | 0.314716 | + | 0.545103i | 0.979377 | − | 0.202041i | \(-0.0647575\pi\) |
−0.664661 | + | 0.747145i | \(0.731424\pi\) | |||||||
\(420\) | −1.53065e9 | − | 8.83721e8i | −1.00810 | − | 0.582027i | ||||
\(421\) | 2.13523e9i | 1.39462i | 0.716767 | + | 0.697312i | \(0.245621\pi\) | ||||
−0.716767 | + | 0.697312i | \(0.754379\pi\) | |||||||
\(422\) | 4.69438e8 | − | 2.71030e8i | 0.304077 | − | 0.175559i | ||||
\(423\) | 6.96424e7 | + | 1.20624e8i | 0.0447386 | + | 0.0774895i | ||||
\(424\) | 4.07049e8 | − | 2.35010e8i | 0.259338 | − | 0.149729i | ||||
\(425\) | 5.72141e8 | + | 3.30326e8i | 0.361528 | + | 0.208728i | ||||
\(426\) | 5.44324e8 | + | 3.14266e8i | 0.341133 | + | 0.196953i | ||||
\(427\) | −1.69480e9 | + | 9.78492e8i | −1.05347 | + | 0.608219i | ||||
\(428\) | 8.26659e8 | + | 1.43181e9i | 0.509651 | + | 0.882742i | ||||
\(429\) | 6.87376e7 | − | 3.96857e7i | 0.0420333 | − | 0.0242680i | ||||
\(430\) | − | 9.46395e8i | − | 0.574028i | ||||||
\(431\) | −4.68687e8 | − | 2.70596e8i | −0.281976 | − | 0.162799i | 0.352342 | − | 0.935871i | \(-0.385386\pi\) |
−0.634318 | + | 0.773072i | \(0.718719\pi\) | |||||||
\(432\) | −4.75920e8 | − | 8.24317e8i | −0.284015 | − | 0.491928i | ||||
\(433\) | −1.52965e9 | −0.905493 | −0.452746 | − | 0.891639i | \(-0.649556\pi\) | ||||
−0.452746 | + | 0.891639i | \(0.649556\pi\) | |||||||
\(434\) | 5.43786e8 | 0.319311 | ||||||||
\(435\) | 4.68288e8 | + | 8.11099e8i | 0.272773 | + | 0.472456i | ||||
\(436\) | 2.50121e9i | 1.44526i | ||||||||
\(437\) | −2.60361e8 | + | 4.50959e8i | −0.149242 | + | 0.258495i | ||||
\(438\) | − | 4.91371e8i | − | 0.279415i | ||||||
\(439\) | 1.32660e9 | + | 7.65915e8i | 0.748368 | + | 0.432070i | 0.825104 | − | 0.564981i | \(-0.191117\pi\) |
−0.0767359 | + | 0.997051i | \(0.524450\pi\) | |||||||
\(440\) | −5.63063e7 | + | 9.75254e7i | −0.0315118 | + | 0.0545800i | ||||
\(441\) | −1.20297e7 | + | 2.08360e7i | −0.00667912 | + | 0.0115686i | ||||
\(442\) | 3.20423e8 | − | 1.84996e8i | 0.176500 | − | 0.101903i | ||||
\(443\) | 7.58752e8 | 0.414655 | 0.207328 | − | 0.978272i | \(-0.433523\pi\) | ||||
0.207328 | + | 0.978272i | \(0.433523\pi\) | |||||||
\(444\) | 3.61023e8 | − | 1.63809e9i | 0.195747 | − | 0.888173i | ||||
\(445\) | 3.00379e9 | 1.61588 | ||||||||
\(446\) | −1.13868e9 | + | 6.57418e8i | −0.607757 | + | 0.350889i | ||||
\(447\) | −7.11528e8 | + | 1.23240e9i | −0.376804 | + | 0.652644i | ||||
\(448\) | −2.68959e8 | + | 4.65850e8i | −0.141323 | + | 0.244778i | ||||
\(449\) | −3.61505e8 | − | 2.08715e8i | −0.188474 | − | 0.108816i | 0.402794 | − | 0.915291i | \(-0.368039\pi\) |
−0.591268 | + | 0.806475i | \(0.701372\pi\) | |||||||
\(450\) | − | 3.71270e7i | − | 0.0192064i | ||||||
\(451\) | −7.19964e7 | + | 1.24701e8i | −0.0369567 | + | 0.0640108i | ||||
\(452\) | 2.85479e9i | 1.45408i | ||||||||
\(453\) | 6.43449e8 | + | 1.11449e9i | 0.325215 | + | 0.563288i | ||||
\(454\) | 4.80067e8 | 0.240772 | ||||||||
\(455\) | −1.56898e9 | −0.780870 | ||||||||
\(456\) | 2.23477e8 | + | 3.87074e8i | 0.110371 | + | 0.191169i | ||||
\(457\) | −1.77753e8 | − | 1.02626e8i | −0.0871185 | − | 0.0502979i | 0.455808 | − | 0.890078i | \(-0.349350\pi\) |
−0.542926 | + | 0.839780i | \(0.682684\pi\) | |||||||
\(458\) | − | 7.80032e8i | − | 0.379388i | ||||||
\(459\) | 1.51400e9 | − | 8.74110e8i | 0.730773 | − | 0.421912i | ||||
\(460\) | −1.07229e9 | − | 1.85726e9i | −0.513641 | − | 0.889652i | ||||
\(461\) | 1.04582e9 | − | 6.03802e8i | 0.497166 | − | 0.287039i | −0.230376 | − | 0.973102i | \(-0.573996\pi\) |
0.727543 | + | 0.686062i | \(0.240662\pi\) | |||||||
\(462\) | 5.72831e7 | + | 3.30724e7i | 0.0270259 | + | 0.0156034i | ||||
\(463\) | −2.83697e8 | − | 1.63792e8i | −0.132838 | − | 0.0766938i | 0.432109 | − | 0.901822i | \(-0.357770\pi\) |
−0.564946 | + | 0.825128i | \(0.691103\pi\) | |||||||
\(464\) | 4.83436e8 | − | 2.79112e8i | 0.224660 | − | 0.129708i | ||||
\(465\) | −1.12555e9 | − | 1.94952e9i | −0.519136 | − | 0.899170i | ||||
\(466\) | 3.61866e8 | − | 2.08923e8i | 0.165652 | − | 0.0956392i | ||||
\(467\) | − | 3.44950e9i | − | 1.56728i | −0.621214 | − | 0.783641i | \(-0.713360\pi\) | ||
0.621214 | − | 0.783641i | \(-0.286640\pi\) | |||||||
\(468\) | 1.12995e8 | + | 6.52378e7i | 0.0509565 | + | 0.0294197i | ||||
\(469\) | −5.89751e8 | − | 1.02148e9i | −0.263975 | − | 0.457219i | ||||
\(470\) | −8.07832e8 | −0.358904 | ||||||||
\(471\) | 3.83247e9 | 1.69007 | ||||||||
\(472\) | 1.28794e9 | + | 2.23078e9i | 0.563766 | + | 0.976472i | ||||
\(473\) | − | 2.22249e8i | − | 0.0965666i | ||||||
\(474\) | −6.09265e8 | + | 1.05528e9i | −0.262774 | + | 0.455138i | ||||
\(475\) | 3.28088e8i | 0.140463i | ||||||||
\(476\) | −1.67561e9 | − | 9.67415e8i | −0.712114 | − | 0.411139i | ||||
\(477\) | −5.74667e7 | + | 9.95352e7i | −0.0242439 | + | 0.0419916i | ||||
\(478\) | −1.72045e8 | + | 2.97990e8i | −0.0720516 | + | 0.124797i | ||||
\(479\) | 3.36916e9 | − | 1.94518e9i | 1.40071 | − | 0.808698i | 0.406241 | − | 0.913766i | \(-0.366839\pi\) |
0.994465 | + | 0.105068i | \(0.0335061\pi\) | |||||||
\(480\) | −2.82908e9 | −1.16762 | ||||||||
\(481\) | −4.49530e8 | − | 1.41958e9i | −0.184183 | − | 0.581637i | ||||
\(482\) | 3.64648e8 | 0.148323 | ||||||||
\(483\) | −2.35563e9 | + | 1.36002e9i | −0.951243 | + | 0.549200i | ||||
\(484\) | 1.06962e9 | − | 1.85264e9i | 0.428817 | − | 0.742733i | ||||
\(485\) | −4.31371e8 | + | 7.47156e8i | −0.171694 | + | 0.297382i | ||||
\(486\) | −1.80878e8 | − | 1.04430e8i | −0.0714756 | − | 0.0412665i | ||||
\(487\) | 2.59058e9i | 1.01636i | 0.861252 | + | 0.508178i | \(0.169681\pi\) | ||||
−0.861252 | + | 0.508178i | \(0.830319\pi\) | |||||||
\(488\) | −1.01909e9 | + | 1.76511e9i | −0.396955 | + | 0.687547i | ||||
\(489\) | − | 1.25469e9i | − | 0.485240i | ||||||
\(490\) | −6.97705e7 | − | 1.20846e8i | −0.0267908 | − | 0.0464030i | ||||
\(491\) | −2.28149e9 | −0.869827 | −0.434913 | − | 0.900472i | \(-0.643221\pi\) | ||||
−0.434913 | + | 0.900472i | \(0.643221\pi\) | |||||||
\(492\) | −2.35371e9 | −0.890993 | ||||||||
\(493\) | 5.12638e8 | + | 8.87915e8i | 0.192684 | + | 0.333739i | ||||
\(494\) | 1.59126e8 | + | 9.18716e7i | 0.0593878 | + | 0.0342876i | ||||
\(495\) | − | 2.75371e7i | − | 0.0102047i | ||||||
\(496\) | −1.16196e9 | + | 6.70860e8i | −0.427569 | + | 0.246857i | ||||
\(497\) | −1.45888e9 | − | 2.52686e9i | −0.533056 | − | 0.923280i | ||||
\(498\) | −5.30775e8 | + | 3.06443e8i | −0.192578 | + | 0.111185i | ||||
\(499\) | −3.41110e9 | − | 1.96940e9i | −1.22897 | − | 0.709548i | −0.262157 | − | 0.965025i | \(-0.584434\pi\) |
−0.966815 | + | 0.255478i | \(0.917767\pi\) | |||||||
\(500\) | 1.35548e9 | + | 7.82586e8i | 0.484951 | + | 0.279986i | ||||
\(501\) | −4.58191e9 | + | 2.64537e9i | −1.62785 | + | 0.939841i | ||||
\(502\) | −6.51323e8 | − | 1.12812e9i | −0.229791 | − | 0.398010i | ||||
\(503\) | 4.15971e9 | − | 2.40161e9i | 1.45739 | − | 0.841424i | 0.458507 | − | 0.888691i | \(-0.348384\pi\) |
0.998882 | + | 0.0472669i | \(0.0150511\pi\) | |||||||
\(504\) | 2.34794e8i | 0.0816920i | ||||||||
\(505\) | −2.79663e9 | − | 1.61463e9i | −0.966307 | − | 0.557898i | ||||
\(506\) | 4.01294e7 | + | 6.95061e7i | 0.0137700 | + | 0.0238504i | ||||
\(507\) | −1.94244e9 | −0.661942 | ||||||||
\(508\) | 3.54869e9 | 1.20101 | ||||||||
\(509\) | −2.50346e9 | − | 4.33612e9i | −0.841450 | − | 1.45743i | −0.888669 | − | 0.458549i | \(-0.848369\pi\) |
0.0472192 | − | 0.998885i | \(-0.484964\pi\) | |||||||
\(510\) | − | 1.27642e9i | − | 0.426086i | ||||||
\(511\) | −1.14052e9 | + | 1.97544e9i | −0.378120 | + | 0.654922i | ||||
\(512\) | 2.95819e9i | 0.974050i | ||||||||
\(513\) | 7.51873e8 | + | 4.34094e8i | 0.245886 | + | 0.141962i | ||||
\(514\) | −5.37749e8 | + | 9.31408e8i | −0.174666 | + | 0.302530i | ||||
\(515\) | 1.65152e9 | − | 2.86051e9i | 0.532792 | − | 0.922822i | ||||
\(516\) | 3.14618e9 | − | 1.81645e9i | 1.00811 | − | 0.582034i | ||||
\(517\) | −1.89710e8 | −0.0603772 | ||||||||
\(518\) | 8.37214e8 | − | 9.15939e8i | 0.264656 | − | 0.289543i | ||||
\(519\) | 4.62681e9 | 1.45277 | ||||||||
\(520\) | −1.41515e9 | + | 8.17038e8i | −0.441358 | + | 0.254818i | ||||
\(521\) | −2.16536e9 | + | 3.75051e9i | −0.670808 | + | 1.16187i | 0.306868 | + | 0.951752i | \(0.400719\pi\) |
−0.977675 | + | 0.210121i | \(0.932614\pi\) | |||||||
\(522\) | 2.88090e7 | − | 4.98987e7i | 0.00886507 | − | 0.0153547i | ||||
\(523\) | 3.70639e9 | + | 2.13989e9i | 1.13291 | + | 0.654086i | 0.944665 | − | 0.328036i | \(-0.106387\pi\) |
0.188245 | + | 0.982122i | \(0.439720\pi\) | |||||||
\(524\) | − | 1.03946e9i | − | 0.315608i | ||||||
\(525\) | −8.56899e8 | + | 1.48419e9i | −0.258447 | + | 0.447644i | ||||
\(526\) | 1.36066e8i | 0.0407663i | ||||||||
\(527\) | −1.23215e9 | − | 2.13415e9i | −0.366714 | − | 0.635166i | ||||
\(528\) | −1.63203e8 | −0.0482515 | ||||||||
\(529\) | 1.04383e8 | 0.0306573 | ||||||||
\(530\) | −3.33299e8 | − | 5.77291e8i | −0.0972452 | − | 0.168434i | ||||
\(531\) | −5.45490e8 | − | 3.14939e8i | −0.158109 | − | 0.0912842i | ||||
\(532\) | − | 9.60862e8i | − | 0.276675i | ||||||
\(533\) | −1.80949e9 | + | 1.04471e9i | −0.517620 | + | 0.298848i | ||||
\(534\) | −9.18758e8 | − | 1.59133e9i | −0.261100 | − | 0.452238i | ||||
\(535\) | 4.38490e9 | − | 2.53163e9i | 1.23800 | − | 0.714762i | ||||
\(536\) | −1.06386e9 | − | 6.14217e8i | −0.298405 | − | 0.172284i | ||||
\(537\) | −1.27981e8 | − | 7.38897e7i | −0.0356644 | − | 0.0205908i | ||||
\(538\) | 6.51011e8 | − | 3.75861e8i | 0.180240 | − | 0.104061i | ||||
\(539\) | −1.63848e7 | − | 2.83792e7i | −0.00450692 | − | 0.00780621i | ||||
\(540\) | −3.09657e9 | + | 1.78780e9i | −0.846257 | + | 0.488587i | ||||
\(541\) | − | 6.43195e8i | − | 0.174643i | −0.996180 | − | 0.0873217i | \(-0.972169\pi\) | ||
0.996180 | − | 0.0873217i | \(-0.0278308\pi\) | |||||||
\(542\) | −4.80199e8 | − | 2.77243e8i | −0.129546 | − | 0.0747934i | ||||
\(543\) | 3.71887e9 | + | 6.44127e9i | 0.996808 | + | 1.72652i | ||||
\(544\) | −3.09701e9 | −0.824795 | ||||||||
\(545\) | 7.65990e9 | 2.02691 | ||||||||
\(546\) | 4.79900e8 | + | 8.31211e8i | 0.126176 | + | 0.218543i | ||||
\(547\) | 5.25471e9i | 1.37276i | 0.727245 | + | 0.686378i | \(0.240800\pi\) | ||||
−0.727245 | + | 0.686378i | \(0.759200\pi\) | |||||||
\(548\) | −1.43380e9 | + | 2.48341e9i | −0.372183 | + | 0.644640i | ||||
\(549\) | − | 4.98392e8i | − | 0.128549i | ||||||
\(550\) | 4.37932e7 | + | 2.52840e7i | 0.0112237 | + | 0.00648003i | ||||
\(551\) | −2.54583e8 | + | 4.40950e8i | −0.0648333 | + | 0.112295i | ||||
\(552\) | −1.41644e9 | + | 2.45335e9i | −0.358437 | + | 0.620830i | ||||
\(553\) | 4.89880e9 | − | 2.82833e9i | 1.23183 | − | 0.711199i | ||||
\(554\) | −6.59048e8 | −0.164677 | ||||||||
\(555\) | −5.01662e9 | − | 1.10563e9i | −1.24562 | − | 0.274526i | ||||
\(556\) | −1.68515e9 | −0.415792 | ||||||||
\(557\) | −3.86018e8 | + | 2.22867e8i | −0.0946486 | + | 0.0546454i | −0.546577 | − | 0.837409i | \(-0.684069\pi\) |
0.451929 | + | 0.892054i | \(0.350736\pi\) | |||||||
\(558\) | −6.92440e7 | + | 1.19934e8i | −0.0168718 | + | 0.0292229i | ||||
\(559\) | 1.61248e9 | − | 2.79291e9i | 0.390440 | − | 0.676262i | ||||
\(560\) | 2.79392e9 | + | 1.61307e9i | 0.672290 | + | 0.388147i | ||||
\(561\) | − | 2.99752e8i | − | 0.0716789i | ||||||
\(562\) | −1.72224e8 | + | 2.98302e8i | −0.0409277 | + | 0.0708889i | ||||
\(563\) | − | 4.77628e8i | − | 0.112800i | −0.998408 | − | 0.0564002i | \(-0.982038\pi\) | ||
0.998408 | − | 0.0564002i | \(-0.0179623\pi\) | |||||||
\(564\) | −1.55050e9 | − | 2.68554e9i | −0.363910 | − | 0.630311i | ||||
\(565\) | 8.74272e9 | 2.03928 | ||||||||
\(566\) | 1.41503e9 | 0.328026 | ||||||||
\(567\) | 2.52428e9 | + | 4.37218e9i | 0.581563 | + | 1.00730i | ||||
\(568\) | −2.63169e9 | − | 1.51941e9i | −0.602581 | − | 0.347900i | ||||
\(569\) | − | 1.68826e9i | − | 0.384191i | −0.981376 | − | 0.192095i | \(-0.938472\pi\) | ||
0.981376 | − | 0.192095i | \(-0.0615283\pi\) | |||||||
\(570\) | 5.48961e8 | − | 3.16943e8i | 0.124159 | − | 0.0716835i | ||||
\(571\) | 1.08547e8 | + | 1.88009e8i | 0.0244001 | + | 0.0422623i | 0.877968 | − | 0.478720i | \(-0.158899\pi\) |
−0.853567 | + | 0.520982i | \(0.825566\pi\) | |||||||
\(572\) | −1.53903e8 | + | 8.88557e7i | −0.0343843 | + | 0.0198518i | ||||
\(573\) | −5.24979e9 | − | 3.03097e9i | −1.16574 | − | 0.673039i | ||||
\(574\) | −1.50795e9 | − | 8.70618e8i | −0.332810 | − | 0.192148i | ||||
\(575\) | −1.80089e9 | + | 1.03974e9i | −0.395048 | + | 0.228081i | ||||
\(576\) | −6.84967e7 | − | 1.18640e8i | −0.0149345 | − | 0.0258673i | ||||
\(577\) | −2.14682e8 | + | 1.23947e8i | −0.0465243 | + | 0.0268608i | −0.523082 | − | 0.852283i | \(-0.675218\pi\) |
0.476557 | + | 0.879143i | \(0.341884\pi\) | |||||||
\(578\) | 3.23887e8i | 0.0697665i | ||||||||
\(579\) | 5.71877e9 | + | 3.30173e9i | 1.22441 | + | 0.706914i | ||||
\(580\) | −1.04849e9 | − | 1.81604e9i | −0.223134 | − | 0.386480i | ||||
\(581\) | 2.84513e9 | 0.601847 | ||||||||
\(582\) | 5.27767e8 | 0.110972 | ||||||||
\(583\) | −7.82713e7 | − | 1.35570e8i | −0.0163592 | − | 0.0283350i | ||||
\(584\) | 2.37567e9i | 0.493561i | ||||||||
\(585\) | 1.99789e8 | − | 3.46045e8i | 0.0412598 | − | 0.0714640i | ||||
\(586\) | 3.24132e9i | 0.665396i | ||||||||
\(587\) | −1.35546e9 | − | 7.82574e8i | −0.276600 | − | 0.159695i | 0.355283 | − | 0.934759i | \(-0.384385\pi\) |
−0.631883 | + | 0.775063i | \(0.717718\pi\) | |||||||
\(588\) | 2.67825e8 | − | 4.63887e8i | 0.0543289 | − | 0.0941005i | ||||
\(589\) | 6.11902e8 | − | 1.05985e9i | 0.123390 | − | 0.213717i | ||||
\(590\) | 3.16377e9 | − | 1.82660e9i | 0.634195 | − | 0.366153i | ||||
\(591\) | 1.92245e9 | 0.383087 | ||||||||
\(592\) | −6.58982e8 | + | 2.99004e9i | −0.130541 | + | 0.592312i | ||||
\(593\) | 2.59503e9 | 0.511036 | 0.255518 | − | 0.966804i | \(-0.417754\pi\) | ||||
0.255518 | + | 0.966804i | \(0.417754\pi\) | |||||||
\(594\) | 1.15886e8 | − | 6.69068e7i | 0.0226871 | − | 0.0130984i | ||||
\(595\) | −2.96269e9 | + | 5.13153e9i | −0.576603 | + | 0.998706i | ||||
\(596\) | 1.59310e9 | − | 2.75933e9i | 0.308235 | − | 0.533878i | ||||
\(597\) | 6.58032e9 | + | 3.79915e9i | 1.26572 | + | 0.730762i | ||||
\(598\) | 1.16460e9i | 0.222701i | ||||||||
\(599\) | 1.29751e9 | − | 2.24735e9i | 0.246670 | − | 0.427246i | −0.715930 | − | 0.698173i | \(-0.753997\pi\) |
0.962600 | + | 0.270927i | \(0.0873302\pi\) | |||||||
\(600\) | 1.78490e9i | 0.337353i | ||||||||
\(601\) | −6.16628e8 | − | 1.06803e9i | −0.115868 | − | 0.200689i | 0.802259 | − | 0.596977i | \(-0.203632\pi\) |
−0.918126 | + | 0.396288i | \(0.870298\pi\) | |||||||
\(602\) | 2.68756e9 | 0.502076 | ||||||||
\(603\) | 3.00388e8 | 0.0557920 | ||||||||
\(604\) | −1.44067e9 | − | 2.49532e9i | −0.266033 | − | 0.460783i | ||||
\(605\) | −5.67368e9 | − | 3.27570e9i | −1.04165 | − | 0.601396i | ||||
\(606\) | 1.97545e9i | 0.360589i | ||||||||
\(607\) | −2.42922e9 | + | 1.40251e9i | −0.440867 | + | 0.254535i | −0.703965 | − | 0.710234i | \(-0.748589\pi\) |
0.263098 | + | 0.964769i | \(0.415256\pi\) | |||||||
\(608\) | −7.69007e8 | − | 1.33196e9i | −0.138761 | − | 0.240341i | ||||
\(609\) | −2.30334e9 | + | 1.32984e9i | −0.413236 | + | 0.238582i | ||||
\(610\) | 2.50334e9 | + | 1.44530e9i | 0.446545 | + | 0.257813i | ||||
\(611\) | −2.38399e9 | − | 1.37640e9i | −0.422825 | − | 0.244118i | ||||
\(612\) | 4.26734e8 | − | 2.46375e8i | 0.0752536 | − | 0.0434477i | ||||
\(613\) | −1.97694e9 | − | 3.42416e9i | −0.346642 | − | 0.600402i | 0.639008 | − | 0.769200i | \(-0.279345\pi\) |
−0.985651 | + | 0.168798i | \(0.946012\pi\) | |||||||
\(614\) | 3.38065e9 | − | 1.95182e9i | 0.589401 | − | 0.340291i | ||||
\(615\) | 7.20818e9i | 1.24958i | ||||||||
\(616\) | −2.76951e8 | − | 1.59898e8i | −0.0477387 | − | 0.0275619i | ||||
\(617\) | −4.07654e9 | − | 7.06077e9i | −0.698704 | − | 1.21019i | −0.968916 | − | 0.247391i | \(-0.920427\pi\) |
0.270211 | − | 0.962801i | \(-0.412906\pi\) | |||||||
\(618\) | −2.02057e9 | −0.344362 | ||||||||
\(619\) | −5.51472e9 | −0.934558 | −0.467279 | − | 0.884110i | \(-0.654766\pi\) | ||||
−0.467279 | + | 0.884110i | \(0.654766\pi\) | |||||||
\(620\) | 2.52010e9 | + | 4.36494e9i | 0.424665 | + | 0.735542i | ||||
\(621\) | 5.50275e9i | 0.922061i | ||||||||
\(622\) | −5.86653e8 | + | 1.01611e9i | −0.0977496 | + | 0.169307i | ||||
\(623\) | 8.53010e9i | 1.41334i | ||||||||
\(624\) | −2.05090e9 | − | 1.18409e9i | −0.337908 | − | 0.195091i | ||||
\(625\) | 3.81059e9 | − | 6.60014e9i | 0.624327 | − | 1.08137i | ||||
\(626\) | −1.65568e8 | + | 2.86773e8i | −0.0269754 | + | 0.0467227i | ||||
\(627\) | 1.28917e8 | − | 7.44303e7i | 0.0208869 | − | 0.0120591i | ||||
\(628\) | −8.58085e9 | −1.38252 | ||||||||
\(629\) | −5.49173e9 | − | 1.21034e9i | −0.879896 | − | 0.193923i | ||||
\(630\) | 3.32992e8 | 0.0530570 | ||||||||
\(631\) | −8.57232e9 | + | 4.94923e9i | −1.35830 | + | 0.784214i | −0.989395 | − | 0.145253i | \(-0.953600\pi\) |
−0.368905 | + | 0.929467i | \(0.620267\pi\) | |||||||
\(632\) | 2.94566e9 | − | 5.10204e9i | 0.464166 | − | 0.803959i | ||||
\(633\) | 3.18618e9 | − | 5.51863e9i | 0.499295 | − | 0.864805i | ||||
\(634\) | 6.10767e6 | + | 3.52627e6i | 0.000951839 | + | 0.000549544i | ||||
\(635\) | − | 1.08678e10i | − | 1.68435i | ||||||
\(636\) | 1.27942e9 | − | 2.21602e9i | 0.197203 | − | 0.341566i | ||||
\(637\) | − | 4.75505e8i | − | 0.0728898i | ||||||
\(638\) | 3.92387e7 | + | 6.79635e7i | 0.00598195 | + | 0.0103610i | ||||
\(639\) | 7.43077e8 | 0.112663 | ||||||||
\(640\) | 8.13824e9 | 1.22716 | ||||||||
\(641\) | −3.29397e9 | − | 5.70533e9i | −0.493989 | − | 0.855614i | 0.505987 | − | 0.862541i | \(-0.331128\pi\) |
−0.999976 | + | 0.00692740i | \(0.997795\pi\) | |||||||
\(642\) | −2.68239e9 | − | 1.54868e9i | −0.400082 | − | 0.230988i | ||||
\(643\) | 9.58757e9i | 1.42223i | 0.703075 | + | 0.711116i | \(0.251810\pi\) | ||||
−0.703075 | + | 0.711116i | \(0.748190\pi\) | |||||||
\(644\) | 5.27421e9 | − | 3.04507e9i | 0.778139 | − | 0.449259i | ||||
\(645\) | −5.56283e9 | − | 9.63510e9i | −0.816275 | − | 1.41383i | ||||
\(646\) | 6.00952e8 | − | 3.46960e8i | 0.0877053 | − | 0.0506367i | ||||
\(647\) | −1.14672e10 | − | 6.62061e9i | −1.66454 | − | 0.961021i | −0.970506 | − | 0.241076i | \(-0.922500\pi\) |
−0.694031 | − | 0.719945i | \(-0.744167\pi\) | |||||||
\(648\) | 4.55356e9 | + | 2.62900e9i | 0.657414 | + | 0.379558i | ||||
\(649\) | 7.42973e8 | − | 4.28956e8i | 0.106688 | − | 0.0615965i | ||||
\(650\) | 3.66886e8 | + | 6.35465e8i | 0.0524004 | + | 0.0907601i | ||||
\(651\) | 5.53621e9 | − | 3.19633e9i | 0.786464 | − | 0.454065i | ||||
\(652\) | 2.80924e9i | 0.396938i | ||||||||
\(653\) | −1.44787e9 | − | 8.35928e8i | −0.203485 | − | 0.117482i | 0.394795 | − | 0.918769i | \(-0.370816\pi\) |
−0.598280 | + | 0.801287i | \(0.704149\pi\) | |||||||
\(654\) | −2.34291e9 | − | 4.05804e9i | −0.327516 | − | 0.567275i | ||||
\(655\) | −3.18333e9 | −0.442626 | ||||||||
\(656\) | 4.29626e9 | 0.594193 | ||||||||
\(657\) | −2.90460e8 | − | 5.03091e8i | −0.0399583 | − | 0.0692098i | ||||
\(658\) | − | 2.29407e9i | − | 0.313918i | ||||||
\(659\) | −5.72213e9 | + | 9.91102e9i | −0.778859 | + | 1.34902i | 0.153741 | + | 0.988111i | \(0.450868\pi\) |
−0.932600 | + | 0.360912i | \(0.882466\pi\) | |||||||
\(660\) | 6.13077e8i | 0.0830064i | ||||||||
\(661\) | 6.91922e9 | + | 3.99481e9i | 0.931863 | + | 0.538011i | 0.887400 | − | 0.461000i | \(-0.152509\pi\) |
0.0444626 | + | 0.999011i | \(0.485842\pi\) | |||||||
\(662\) | −1.18567e9 | + | 2.05364e9i | −0.158841 | + | 0.275120i | ||||
\(663\) | 2.17479e9 | − | 3.76684e9i | 0.289814 | − | 0.501972i | ||||
\(664\) | 2.56618e9 | − | 1.48158e9i | 0.340172 | − | 0.196398i | ||||
\(665\) | −2.94262e9 | −0.388024 | ||||||||
\(666\) | 9.54056e7 | + | 3.01283e8i | 0.0125145 | + | 0.0395199i | ||||
\(667\) | −3.22719e9 | −0.421099 | ||||||||
\(668\) | 1.02588e10 | − | 5.92295e9i | 1.33162 | − | 0.768812i | ||||
\(669\) | −7.72849e9 | + | 1.33861e10i | −0.997937 | + | 1.72848i | ||||
\(670\) | −8.71104e8 | + | 1.50880e9i | −0.111894 | + | 0.193807i | ||||
\(671\) | 5.87879e8 | + | 3.39412e8i | 0.0751206 | + | 0.0433709i | ||||
\(672\) | − | 8.03396e9i | − | 1.02126i | ||||||
\(673\) | −6.60708e9 | + | 1.14438e10i | −0.835520 | + | 1.44716i | 0.0580855 | + | 0.998312i | \(0.481500\pi\) |
−0.893606 | + | 0.448852i | \(0.851833\pi\) | |||||||
\(674\) | − | 4.43565e9i | − | 0.558018i | ||||||
\(675\) | 1.73354e9 | + | 3.00258e9i | 0.216956 | + | 0.375778i | ||||
\(676\) | 4.34910e9 | 0.541484 | ||||||||
\(677\) | 1.00405e10 | 1.24364 | 0.621821 | − | 0.783159i | \(-0.286393\pi\) | ||||
0.621821 | + | 0.783159i | \(0.286393\pi\) | |||||||
\(678\) | −2.67411e9 | − | 4.63169e9i | −0.329515 | − | 0.570736i | ||||
\(679\) | −2.12176e9 | − | 1.22500e9i | −0.260107 | − | 0.150173i | ||||
\(680\) | 6.17120e9i | 0.752642i | ||||||||
\(681\) | 4.88748e9 | − | 2.82179e9i | 0.593022 | − | 0.342381i | ||||
\(682\) | −9.43123e7 | − | 1.63354e8i | −0.0113847 | − | 0.0197189i | ||||
\(683\) | −9.27278e9 | + | 5.35364e9i | −1.11362 | + | 0.642950i | −0.939765 | − | 0.341821i | \(-0.888956\pi\) |
−0.173857 | + | 0.984771i | \(0.555623\pi\) | |||||||
\(684\) | 2.11922e8 | + | 1.22353e8i | 0.0253209 | + | 0.0146190i | ||||
\(685\) | 7.60540e9 | + | 4.39098e9i | 0.904077 | + | 0.521969i | ||||
\(686\) | −2.52928e9 | + | 1.46028e9i | −0.299132 | + | 0.172704i | ||||
\(687\) | −4.58496e9 | − | 7.94139e9i | −0.539495 | − | 0.934432i | ||||
\(688\) | −5.74277e9 | + | 3.31559e9i | −0.672298 | + | 0.388152i | ||||
\(689\) | − | 2.27152e9i | − | 0.264576i | ||||||
\(690\) | 3.47943e9 | + | 2.00885e9i | 0.403214 | + | 0.232796i | ||||
\(691\) | −2.74340e9 | − | 4.75171e9i | −0.316313 | − | 0.547869i | 0.663403 | − | 0.748262i | \(-0.269111\pi\) |
−0.979716 | + | 0.200393i | \(0.935778\pi\) | |||||||
\(692\) | −1.03594e10 | −1.18840 | ||||||||
\(693\) | 7.81993e7 | 0.00892558 | ||||||||
\(694\) | 1.79429e9 | + | 3.10781e9i | 0.203768 | + | 0.352936i | ||||
\(695\) | 5.16073e9i | 0.583129i | ||||||||
\(696\) | −1.38501e9 | + | 2.39890e9i | −0.155711 | + | 0.269699i | ||||
\(697\) | 7.89084e9i | 0.882691i | ||||||||
\(698\) | −4.58900e8 | − | 2.64946e8i | −0.0510769 | − | 0.0294892i | ||||
\(699\) | 2.45607e9 | − | 4.25403e9i | 0.272001 | − | 0.471119i | ||||
\(700\) | 1.91859e9 | − | 3.32309e9i | 0.211416 | − | 0.366183i | ||||
\(701\) | −3.19425e9 | + | 1.84420e9i | −0.350232 | + | 0.202207i | −0.664788 | − | 0.747032i | \(-0.731478\pi\) |
0.314555 | + | 0.949239i | \(0.398145\pi\) | |||||||
\(702\) | 1.94171e9 | 0.211839 | ||||||||
\(703\) | −8.43090e8 | − | 2.66241e9i | −0.0915230 | − | 0.289022i | ||||
\(704\) | 1.86589e8 | 0.0201549 | ||||||||
\(705\) | −8.22442e9 | + | 4.74837e9i | −0.883982 | + | 0.510367i | ||||
\(706\) | −7.35339e8 | + | 1.27364e9i | −0.0786450 | + | 0.136217i | ||||
\(707\) | 4.58521e9 | − | 7.94182e9i | 0.487968 | − | 0.845186i | ||||
\(708\) | 1.21446e10 | + | 7.01171e9i | 1.28608 | + | 0.742519i | ||||
\(709\) | − | 1.62488e10i | − | 1.71222i | −0.516796 | − | 0.856108i | \(-0.672875\pi\) | ||
0.516796 | − | 0.856108i | \(-0.327125\pi\) | |||||||
\(710\) | −2.15487e9 | + | 3.73235e9i | −0.225953 | + | 0.391361i | ||||
\(711\) | 1.44060e9i | 0.150314i | ||||||||
\(712\) | 4.44199e9 | + | 7.69375e9i | 0.461209 | + | 0.798837i | ||||
\(713\) | 7.75672e9 | 0.801428 | ||||||||
\(714\) | 3.62475e9 | 0.372679 | ||||||||
\(715\) | 2.72119e8 | + | 4.71324e8i | 0.0278412 | + | 0.0482223i | ||||
\(716\) | 2.86547e8 | + | 1.65438e8i | 0.0291743 | + | 0.0168438i | ||||
\(717\) | 4.04506e9i | 0.409833i | ||||||||
\(718\) | −3.94900e9 | + | 2.27995e9i | −0.398154 | + | 0.229874i | ||||
\(719\) | 2.68176e9 | + | 4.64495e9i | 0.269072 | + | 0.466047i | 0.968623 | − | 0.248537i | \(-0.0799496\pi\) |
−0.699550 | + | 0.714583i | \(0.746616\pi\) | |||||||
\(720\) | −7.11538e8 | + | 4.10807e8i | −0.0710452 | + | 0.0410179i | ||||
\(721\) | 8.12322e9 | + | 4.68994e9i | 0.807151 | + | 0.466009i | ||||
\(722\) | −2.94864e9 | − | 1.70240e9i | −0.291569 | − | 0.168337i | ||||
\(723\) | 3.71242e9 | − | 2.14337e9i | 0.365320 | − | 0.210917i | ||||
\(724\) | −8.32650e9 | − | 1.44219e10i | −0.815413 | − | 1.41234i | ||||
\(725\) | −1.76092e9 | + | 1.01667e9i | −0.171615 | + | 0.0990823i | ||||
\(726\) | 4.00771e9i | 0.388703i | ||||||||
\(727\) | 1.44856e10 | + | 8.36329e9i | 1.39819 | + | 0.807247i | 0.994203 | − | 0.107516i | \(-0.0342898\pi\) |
0.403990 | + | 0.914763i | \(0.367623\pi\) | |||||||
\(728\) | −2.32021e9 | − | 4.01872e9i | −0.222878 | − | 0.386036i | ||||
\(729\) | 9.04385e9 | 0.864583 | ||||||||
\(730\) | 3.36925e9 | 0.320556 | ||||||||
\(731\) | −6.08966e9 | − | 1.05476e10i | −0.576610 | − | 0.998718i | ||||
\(732\) | 1.10961e10i | 1.04564i | ||||||||
\(733\) | 9.09847e9 | − | 1.57590e10i | 0.853305 | − | 1.47797i | −0.0249035 | − | 0.999690i | \(-0.507928\pi\) |
0.878209 | − | 0.478278i | \(-0.158739\pi\) | |||||||
\(734\) | − | 4.28692e9i | − | 0.400137i | ||||||
\(735\) | −1.42065e9 | − | 8.20210e8i | −0.131971 | − | 0.0761937i | ||||
\(736\) | 4.87412e9 | − | 8.44222e9i | 0.450634 | − | 0.780521i | ||||
\(737\) | −2.04568e8 | + | 3.54323e8i | −0.0188236 | + | 0.0326034i | ||||
\(738\) | 3.84036e8 | − | 2.21723e8i | 0.0351702 | − | 0.0203055i | ||||
\(739\) | 4.14450e9 | 0.377760 | 0.188880 | − | 0.982000i | \(-0.439514\pi\) | ||||
0.188880 | + | 0.982000i | \(0.439514\pi\) | |||||||
\(740\) | 1.12321e10 | + | 2.47548e9i | 1.01895 | + | 0.224568i | ||||
\(741\) | 2.16005e9 | 0.195030 | ||||||||
\(742\) | 1.63938e9 | − | 9.46497e8i | 0.147321 | − | 0.0850561i | ||||
\(743\) | −9.20362e9 | + | 1.59411e10i | −0.823185 | + | 1.42580i | 0.0801128 | + | 0.996786i | \(0.474472\pi\) |
−0.903298 | + | 0.429013i | \(0.858861\pi\) | |||||||
\(744\) | 3.32893e9 | − | 5.76588e9i | 0.296347 | − | 0.513287i | ||||
\(745\) | −8.45040e9 | − | 4.87884e9i | −0.748739 | − | 0.432285i | ||||
\(746\) | 3.64065e9i | 0.321065i | ||||||||
\(747\) | −3.62290e8 | + | 6.27505e8i | −0.0318005 | + | 0.0550801i | ||||
\(748\) | 6.71140e8i | 0.0586351i | ||||||||
\(749\) | 7.18927e9 | + | 1.24522e10i | 0.625170 | + | 1.08283i | ||||
\(750\) | −2.93222e9 | −0.253795 | ||||||||
\(751\) | 1.19263e10 | 1.02746 | 0.513730 | − | 0.857952i | \(-0.328263\pi\) | ||||
0.513730 | + | 0.857952i | \(0.328263\pi\) | |||||||
\(752\) | 2.83015e9 | + | 4.90197e9i | 0.242687 | + | 0.420347i | ||||
\(753\) | −1.32620e10 | − | 7.65684e9i | −1.13195 | − | 0.653532i | ||||
\(754\) | 1.13875e9i | 0.0967453i | ||||||||
\(755\) | −7.64186e9 | + | 4.41203e9i | −0.646227 | + | 0.373099i | ||||
\(756\) | −5.07697e9 | − | 8.79358e9i | −0.427345 | − | 0.740183i | ||||
\(757\) | 2.09957e9 | − | 1.21219e9i | 0.175912 | − | 0.101563i | −0.409459 | − | 0.912329i | \(-0.634282\pi\) |
0.585371 | + | 0.810766i | \(0.300949\pi\) | |||||||
\(758\) | −5.09922e9 | − | 2.94404e9i | −0.425267 | − | 0.245528i | ||||
\(759\) | 8.17102e8 | + | 4.71754e8i | 0.0678313 | + | 0.0391624i | ||||
\(760\) | −2.65411e9 | + | 1.53235e9i | −0.219316 | + | 0.126622i | ||||
\(761\) | −9.79673e9 | − | 1.69684e10i | −0.805814 | − | 1.39571i | −0.915740 | − | 0.401771i | \(-0.868395\pi\) |
0.109926 | − | 0.993940i | \(-0.464939\pi\) | |||||||
\(762\) | −5.75750e9 | + | 3.32410e9i | −0.471402 | + | 0.272164i | ||||
\(763\) | 2.17525e10i | 1.77285i | ||||||||
\(764\) | 1.17542e10 | + | 6.78630e9i | 0.953601 | + | 0.550562i | ||||
\(765\) | −7.54519e8 | − | 1.30686e9i | −0.0609333 | − | 0.105540i | ||||
\(766\) | −3.18840e9 | −0.256314 | ||||||||
\(767\) | 1.24488e10 | 0.996193 | ||||||||
\(768\) | −7.21200e8 | − | 1.24916e9i | −0.0574502 | − | 0.0995067i | ||||
\(769\) | 5.04629e9i | 0.400156i | 0.979780 | + | 0.200078i | \(0.0641196\pi\) | ||||
−0.979780 | + | 0.200078i | \(0.935880\pi\) | |||||||
\(770\) | −2.26773e8 | + | 3.92782e8i | −0.0179008 | + | 0.0310051i | ||||
\(771\) | 1.26434e10i | 0.993510i | ||||||||
\(772\) | −1.28042e10 | − | 7.39253e9i | −1.00160 | − | 0.578273i | ||||
\(773\) | 9.65837e9 | − | 1.67288e10i | 0.752100 | − | 1.30268i | −0.194703 | − | 0.980862i | \(-0.562374\pi\) |
0.946803 | − | 0.321813i | \(-0.104292\pi\) | |||||||
\(774\) | −3.42225e8 | + | 5.92750e8i | −0.0265288 | + | 0.0459493i | ||||
\(775\) | 4.23246e9 | − | 2.44361e9i | 0.326616 | − | 0.188572i | ||||
\(776\) | −2.55164e9 | −0.196021 | ||||||||
\(777\) | 3.13974e9 | − | 1.42461e10i | 0.240115 | − | 1.08949i | ||||
\(778\) | −3.64911e9 | −0.277816 | ||||||||
\(779\) | −3.39369e9 | + | 1.95935e9i | −0.257212 | + | 0.148501i | ||||
\(780\) | −4.44805e9 | + | 7.70426e9i | −0.335613 | + | 0.581299i | ||||
\(781\) | −5.06046e8 | + | 8.76498e8i | −0.0380112 | + | 0.0658373i | ||||
\(782\) | 3.80895e9 | + | 2.19910e9i | 0.284827 | + | 0.164445i | ||||
\(783\) | 5.38062e9i | 0.400559i | ||||||||
\(784\) | −4.88867e8 | + | 8.46742e8i | −0.0362313 | + | 0.0627545i | ||||
\(785\) | 2.62787e10i | 1.93892i | ||||||||
\(786\) | 9.73673e8 | + | 1.68645e9i | 0.0715211 | + | 0.123878i | ||||
\(787\) | −3.88090e8 | −0.0283805 | −0.0141903 | − | 0.999899i | \(-0.504517\pi\) | ||||
−0.0141903 | + | 0.999899i | \(0.504517\pi\) | |||||||
\(788\) | −4.30433e9 | −0.313375 | ||||||||
\(789\) | 7.99787e8 | + | 1.38527e9i | 0.0579702 | + | 0.100407i | ||||
\(790\) | −7.23588e9 | − | 4.17764e9i | −0.522152 | − | 0.301464i | ||||
\(791\) | 2.48274e10i | 1.78367i | ||||||||
\(792\) | 7.05321e7 | − | 4.07217e7i | 0.00504485 | − | 0.00291265i | ||||
\(793\) | 4.92507e9 | + | 8.53047e9i | 0.350716 | + | 0.607459i | ||||
\(794\) | −1.64576e9 | + | 9.50182e8i | −0.116680 | + | 0.0673651i | ||||
\(795\) | −6.78653e9 | − | 3.91821e9i | −0.479030 | − | 0.276568i | ||||
\(796\) | −1.47332e10 | − | 8.50624e9i | −1.03539 | − | 0.597781i | ||||
\(797\) | 5.53982e9 | − | 3.19842e9i | 0.387607 | − | 0.223785i | −0.293516 | − | 0.955954i | \(-0.594825\pi\) |
0.681123 | + | 0.732169i | \(0.261492\pi\) | |||||||
\(798\) | 9.00049e8 | + | 1.55893e9i | 0.0626984 | + | 0.108597i | ||||
\(799\) | −9.00332e9 | + | 5.19807e9i | −0.624438 | + | 0.360519i | ||||
\(800\) | − | 6.14201e9i | − | 0.424126i | ||||||
\(801\) | −1.88135e9 | − | 1.08620e9i | −0.129347 | − | 0.0746782i | ||||
\(802\) | 3.24368e9 | + | 5.61822e9i | 0.222038 | + | 0.384581i | ||||
\(803\) | 7.91229e8 | 0.0539259 | ||||||||
\(804\) | −6.68775e9 | −0.453820 | ||||||||
\(805\) | −9.32546e9 | − | 1.61522e10i | −0.630064 | − | 1.09130i | ||||
\(806\) | − | 2.73705e9i | − | 0.184124i | ||||||
\(807\) | 4.41856e9 | − | 7.65317e9i | 0.295954 | − | 0.512607i | ||||
\(808\) | − | 9.55087e9i | − | 0.636947i | ||||||
\(809\) | −5.52856e9 | − | 3.19192e9i | −0.367107 | − | 0.211949i | 0.305087 | − | 0.952325i | \(-0.401314\pi\) |
−0.672194 | + | 0.740375i | \(0.734648\pi\) | |||||||
\(810\) | 3.72854e9 | − | 6.45802e9i | 0.246514 | − | 0.426974i | ||||
\(811\) | 5.44469e9 | − | 9.43047e9i | 0.358426 | − | 0.620813i | −0.629272 | − | 0.777185i | \(-0.716647\pi\) |
0.987698 | + | 0.156373i | \(0.0499801\pi\) | |||||||
\(812\) | 5.15716e9 | − | 2.97749e9i | 0.338037 | − | 0.195166i | ||||
\(813\) | −6.51844e9 | −0.425429 | ||||||||
\(814\) | −4.20352e8 | − | 9.26425e7i | −0.0273167 | − | 0.00602039i | ||||
\(815\) | 8.60324e9 | 0.556686 | ||||||||
\(816\) | −7.74537e9 | + | 4.47179e9i | −0.499030 | + | 0.288115i | ||||
\(817\) | 3.02421e9 | − | 5.23808e9i | 0.194014 | − | 0.336043i | ||||
\(818\) | 1.72149e9 | − | 2.98170e9i | 0.109968 | − | 0.190471i | ||||
\(819\) | 9.82694e8 | + | 5.67358e8i | 0.0625064 | + | 0.0360881i | ||||
\(820\) | − | 1.61390e10i | − | 1.02218i | ||||||
\(821\) | 1.06843e10 | − | 1.85057e10i | 0.673821 | − | 1.16709i | −0.302990 | − | 0.952994i | \(-0.597985\pi\) |
0.976812 | − | 0.214099i | \(-0.0686816\pi\) | |||||||
\(822\) | − | 5.37222e9i | − | 0.337367i | ||||||
\(823\) | −7.55701e9 | − | 1.30891e10i | −0.472553 | − | 0.818485i | 0.526954 | − | 0.849894i | \(-0.323334\pi\) |
−0.999507 | + | 0.0314085i | \(0.990001\pi\) | |||||||
\(824\) | 9.76903e9 | 0.608283 | ||||||||
\(825\) | 5.94470e8 | 0.0368588 | ||||||||
\(826\) | 5.18715e9 | + | 8.98442e9i | 0.320257 | + | 0.554702i | ||||
\(827\) | −1.08638e10 | − | 6.27224e9i | −0.667904 | − | 0.385615i | 0.127378 | − | 0.991854i | \(-0.459344\pi\) |
−0.795282 | + | 0.606240i | \(0.792677\pi\) | |||||||
\(828\) | 1.55100e9i | 0.0949521i | ||||||||
\(829\) | −1.92413e10 | + | 1.11090e10i | −1.17299 | + | 0.677226i | −0.954382 | − | 0.298587i | \(-0.903485\pi\) |
−0.218607 | + | 0.975813i | \(0.570151\pi\) | |||||||
\(830\) | −2.10123e9 | − | 3.63944e9i | −0.127556 | − | 0.220934i | ||||
\(831\) | −6.70967e9 | + | 3.87383e9i | −0.405599 | + | 0.234173i | ||||
\(832\) | 2.34477e9 | + | 1.35376e9i | 0.141146 | + | 0.0814908i | ||||
\(833\) | −1.55519e9 | − | 8.97889e8i | −0.0932236 | − | 0.0538227i | ||||
\(834\) | 2.73403e9 | − | 1.57849e9i | 0.163201 | − | 0.0942241i | ||||
\(835\) | −1.81389e10 | − | 3.14175e10i | −1.07822 | − | 1.86754i | ||||
\(836\) | −2.88643e8 | + | 1.66648e8i | −0.0170860 | + | 0.00986459i | ||||
\(837\) | − | 1.29326e10i | − | 0.762337i | ||||||
\(838\) | 3.44282e9 | + | 1.98771e9i | 0.202097 | + | 0.116681i | ||||
\(839\) | −9.06886e7 | − | 1.57077e8i | −0.00530134 | − | 0.00918219i | 0.863363 | − | 0.504584i | \(-0.168354\pi\) |
−0.868664 | + | 0.495402i | \(0.835021\pi\) | |||||||
\(840\) | −1.60087e10 | −0.931922 | ||||||||
\(841\) | 1.40943e10 | 0.817067 | ||||||||
\(842\) | 4.47818e9 | + | 7.75643e9i | 0.258529 | + | 0.447785i | ||||
\(843\) | 4.04928e9i | 0.232799i | ||||||||
\(844\) | −7.13381e9 | + | 1.23561e10i | −0.408435 | + | 0.707431i | ||||
\(845\) | − | 1.33190e10i | − | 0.759405i | ||||||
\(846\) | 5.05965e8 | + | 2.92119e8i | 0.0287293 | + | 0.0165868i | ||||
\(847\) | 9.30228e9 | − | 1.61120e10i | 0.526014 | − | 0.911083i | ||||
\(848\) | −2.33535e9 | + | 4.04495e9i | −0.131512 | + | 0.227786i | ||||
\(849\) | 1.44062e10 | − | 8.31742e9i | 0.807927 | − | 0.466457i | ||||
\(850\) | 2.77114e9 | 0.154772 | ||||||||
\(851\) | 1.19423e10 | − | 1.30652e10i | 0.664252 | − | 0.726713i | ||||
\(852\) | −1.65437e10 | −0.916417 | ||||||||
\(853\) | −1.66232e10 | + | 9.59742e9i | −0.917051 | + | 0.529460i | −0.882693 | − | 0.469950i | \(-0.844272\pi\) |
−0.0343580 | + | 0.999410i | \(0.510939\pi\) | |||||||
\(854\) | −4.10435e9 | + | 7.10894e9i | −0.225497 | + | 0.390573i | ||||
\(855\) | 3.74704e8 | − | 6.49006e8i | 0.0205025 | − | 0.0355114i | ||||
\(856\) | 1.29688e10 | + | 7.48752e9i | 0.706709 | + | 0.408019i | ||||
\(857\) | 7.84995e9i | 0.426024i | 0.977050 | + | 0.213012i | \(0.0683273\pi\) | ||||
−0.977050 | + | 0.213012i | \(0.931673\pi\) | |||||||
\(858\) | 1.66464e8 | − | 2.88324e8i | 0.00899736 | − | 0.0155839i | ||||
\(859\) | − | 1.13403e8i | − | 0.00610450i | −0.999995 | − | 0.00305225i | \(-0.999028\pi\) | ||
0.999995 | − | 0.00305225i | \(-0.000971563\pi\) | |||||||
\(860\) | 1.24551e10 | + | 2.15729e10i | 0.667732 | + | 1.15655i | ||||
\(861\) | −2.04697e10 | −1.09295 | ||||||||
\(862\) | −2.27007e9 | −0.120716 | ||||||||
\(863\) | −1.67169e9 | − | 2.89546e9i | −0.0885358 | − | 0.153349i | 0.818357 | − | 0.574711i | \(-0.194885\pi\) |
−0.906892 | + | 0.421362i | \(0.861552\pi\) | |||||||
\(864\) | −1.40755e10 | − | 8.12651e9i | −0.742449 | − | 0.428653i | ||||
\(865\) | 3.17254e10i | 1.66667i | ||||||||
\(866\) | −5.55661e9 | + | 3.20811e9i | −0.290735 | + | 0.167856i | ||||
\(867\) | 1.90378e9 | + | 3.29745e9i | 0.0992089 | + | 0.171835i | ||||
\(868\) | −1.23955e10 | + | 7.15654e9i | −0.643346 | + | 0.371436i | ||||
\(869\) | −1.69926e9 | − | 9.81068e8i | −0.0878397 | − | 0.0507143i | ||||
\(870\) | 3.40220e9 | + | 1.96426e9i | 0.175163 | + | 0.101131i | ||||
\(871\) | −5.14143e9 | + | 2.96840e9i | −0.263645 | + | 0.152216i | ||||
\(872\) | 1.13274e10 | + | 1.96197e10i | 0.578528 | + | 1.00204i | ||||
\(873\) | 5.40356e8 | − | 3.11975e8i | 0.0274872 | − | 0.0158697i | ||||
\(874\) | 2.18420e9i | 0.110663i | ||||||||
\(875\) | 1.17883e10 | + | 6.80597e9i | 0.594871 | + | 0.343449i | ||||
\(876\) | 6.46672e9 | + | 1.12007e10i | 0.325027 | + | 0.562963i | ||||
\(877\) | 1.18023e10 | 0.590839 | 0.295420 | − | 0.955368i | \(-0.404541\pi\) | ||||
0.295420 | + | 0.955368i | \(0.404541\pi\) | |||||||
\(878\) | 6.42535e9 | 0.320381 | ||||||||
\(879\) | 1.90522e10 | + | 3.29994e10i | 0.946202 | + | 1.63887i | ||||
\(880\) | − | 1.11906e9i | − | 0.0553560i | ||||||
\(881\) | −1.70658e10 | + | 2.95589e10i | −0.840836 | + | 1.45637i | 0.0483529 | + | 0.998830i | \(0.484603\pi\) |
−0.889189 | + | 0.457540i | \(0.848731\pi\) | |||||||
\(882\) | 1.00918e8i | 0.00495257i | ||||||||
\(883\) | 1.29465e10 | + | 7.47465e9i | 0.632833 | + | 0.365366i | 0.781848 | − | 0.623469i | \(-0.214277\pi\) |
−0.149016 | + | 0.988835i | \(0.547610\pi\) | |||||||
\(884\) | −4.86931e9 | + | 8.43390e9i | −0.237075 | + | 0.410625i | ||||
\(885\) | 2.14732e10 | − | 3.71927e10i | 1.04135 | − | 1.80367i | ||||
\(886\) | 2.75624e9 | − | 1.59132e9i | 0.133137 | − | 0.0768668i | ||||
\(887\) | 7.70123e9 | 0.370533 | 0.185267 | − | 0.982688i | \(-0.440685\pi\) | ||||
0.185267 | + | 0.982688i | \(0.440685\pi\) | |||||||
\(888\) | −4.58667e9 | − | 1.44843e10i | −0.219812 | − | 0.694149i | ||||
\(889\) | 3.08622e10 | 1.47323 | ||||||||
\(890\) | 1.09115e10 | − | 6.29978e9i | 0.518825 | − | 0.299544i | ||||
\(891\) | 8.75603e8 | − | 1.51659e9i | 0.0414701 | − | 0.0718283i | ||||
\(892\) | 1.73040e10 | − | 2.99714e10i | 0.816336 | − | 1.41394i | ||||
\(893\) | −4.47117e9 | − | 2.58143e9i | −0.210107 | − | 0.121305i | ||||
\(894\) | 5.96910e9i | 0.279401i | ||||||||
\(895\) | 5.06650e8 | − | 8.77544e8i | 0.0236226 | − | 0.0409156i | ||||
\(896\) | 2.31108e10i | 1.07334i | ||||||||
\(897\) | 6.84542e9 | + | 1.18566e10i | 0.316685 | + | 0.548514i | ||||
\(898\) | −1.75094e9 | −0.0806869 | ||||||||
\(899\) | 7.58456e9 | 0.348154 | ||||||||
\(900\) | 4.88613e8 | + | 8.46302e8i | 0.0223417 | + | 0.0386970i | ||||
\(901\) | −7.42926e9 | − | 4.28928e9i | −0.338383 | − | 0.195366i | ||||
\(902\) | 6.03987e8i | 0.0274034i | ||||||||
\(903\) | 2.73616e10 | − | 1.57972e10i | 1.23661 | − | 0.713960i | ||||
\(904\) | 1.29287e10 | + | 2.23932e10i | 0.582057 | + | 1.00815i | ||||
\(905\) | −4.41668e10 | + | 2.54997e10i | −1.98073 | + | 1.14358i | ||||
\(906\) | 4.67478e9 | + | 2.69899e9i | 0.208839 | + | 0.120573i | ||||
\(907\) | −1.68183e10 | − | 9.71006e9i | −0.748440 | − | 0.432112i | 0.0766900 | − | 0.997055i | \(-0.475565\pi\) |
−0.825130 | + | 0.564943i | \(0.808898\pi\) | |||||||
\(908\) | −1.09430e10 | + | 6.31795e9i | −0.485106 | + | 0.280076i | ||||
\(909\) | 1.16773e9 | + | 2.02257e9i | 0.0515667 | + | 0.0893162i | ||||
\(910\) | −5.69949e9 | + | 3.29060e9i | −0.250721 | + | 0.144754i | ||||
\(911\) | − | 3.61760e10i | − | 1.58528i | −0.609690 | − | 0.792640i | \(-0.708706\pi\) | ||
0.609690 | − | 0.792640i | \(-0.291294\pi\) | |||||||
\(912\) | −3.84645e9 | − | 2.22075e9i | −0.167911 | − | 0.0969433i | ||||
\(913\) | −4.93449e8 | − | 8.54680e8i | −0.0214583 | − | 0.0371668i | ||||
\(914\) | −8.60940e8 | −0.0372959 | ||||||||
\(915\) | 3.39815e10 | 1.46645 | ||||||||
\(916\) | 1.02657e10 | + | 1.77807e10i | 0.441319 | + | 0.764387i | ||||
\(917\) | − | 9.03996e9i | − | 0.387145i | ||||||
\(918\) | 3.66651e9 | − | 6.35058e9i | 0.156424 | − | 0.270934i | ||||
\(919\) | 2.89899e10i | 1.23209i | 0.787711 | + | 0.616045i | \(0.211266\pi\) | ||||
−0.787711 | + | 0.616045i | \(0.788734\pi\) | |||||||
\(920\) | −1.68223e10 | − | 9.71234e9i | −0.712241 | − | 0.411213i | ||||
\(921\) | 2.29453e10 | − | 3.97424e10i | 0.967797 | − | 1.67627i | ||||
\(922\) | 2.53268e9 | − | 4.38674e9i | 0.106420 | − | 0.184325i | ||||
\(923\) | −1.27185e10 | + | 7.34302e9i | −0.532390 | + | 0.307375i | ||||
\(924\) | −1.74101e9 | −0.0726020 | ||||||||
\(925\) | 2.40035e9 | − | 1.08912e10i | 0.0997190 | − | 0.452461i | ||||
\(926\) | −1.37407e9 | −0.0568685 | ||||||||
\(927\) | −2.06877e9 | + | 1.19440e9i | −0.0852969 | + | 0.0492462i | ||||
\(928\) | 4.76594e9 | − | 8.25485e9i | 0.195763 | − | 0.339072i | ||||
\(929\) | −1.32831e10 | + | 2.30070e10i | −0.543557 | + | 0.941468i | 0.455139 | + | 0.890420i | \(0.349589\pi\) |
−0.998696 | + | 0.0510480i | \(0.983744\pi\) | |||||||
\(930\) | −8.17737e9 | − | 4.72121e9i | −0.333368 | − | 0.192470i | ||||
\(931\) | − | 8.91807e8i | − | 0.0362199i | ||||||
\(932\) | −5.49910e9 | + | 9.52472e9i | −0.222503 | + | 0.385386i | ||||
\(933\) | 1.37932e10i | 0.556005i | ||||||||
\(934\) | −7.23457e9 | − | 1.25306e10i | −0.290535 | − | 0.503222i | ||||
\(935\) | 2.05535e9 | 0.0822329 | ||||||||
\(936\) | 1.18179e9 | 0.0471059 | ||||||||
\(937\) | 8.49551e9 | + | 1.47147e10i | 0.337366 | + | 0.584335i | 0.983936 | − | 0.178520i | \(-0.0571308\pi\) |
−0.646571 | + | 0.762854i | \(0.723797\pi\) | |||||||
\(938\) | −4.28465e9 | − | 2.47375e9i | −0.169514 | − | 0.0978690i | ||||
\(939\) | 3.89279e9i | 0.153437i | ||||||||
\(940\) | 1.84144e10 | − | 1.06315e10i | 0.723118 | − | 0.417492i | ||||
\(941\) | −7.91381e9 | − | 1.37071e10i | −0.309615 | − | 0.536269i | 0.668663 | − | 0.743565i | \(-0.266867\pi\) |
−0.978278 | + | 0.207297i | \(0.933534\pi\) | |||||||
\(942\) | 1.39218e10 | − | 8.03777e9i | 0.542648 | − | 0.313298i | ||||
\(943\) | −2.15099e10 | − | 1.24187e10i | −0.835309 | − | 0.482266i | ||||
\(944\) | −2.21678e10 | − | 1.27986e10i | −0.857672 | − | 0.495177i | ||||
\(945\) | −2.69302e10 | + | 1.55481e10i | −1.03807 | + | 0.599331i | ||||
\(946\) | −4.66120e8 | − | 8.07343e8i | −0.0179010 | − | 0.0310055i | ||||
\(947\) | 1.45277e10 | − | 8.38754e9i | 0.555867 | − | 0.320930i | −0.195618 | − | 0.980680i | \(-0.562671\pi\) |
0.751485 | + | 0.659750i | \(0.229338\pi\) | |||||||
\(948\) | − | 3.20731e10i | − | 1.22268i | ||||||
\(949\) | 9.94300e9 | + | 5.74060e9i | 0.377647 | + | 0.218035i | ||||
\(950\) | 6.88093e8 | + | 1.19181e9i | 0.0260384 | + | 0.0450998i | ||||
\(951\) | 8.29084e7 | 0.00312584 | ||||||||
\(952\) | −1.75249e10 | −0.658303 | ||||||||
\(953\) | 2.17036e10 | + | 3.75918e10i | 0.812283 | + | 1.40692i | 0.911263 | + | 0.411826i | \(0.135109\pi\) |
−0.0989795 | + | 0.995089i | \(0.531558\pi\) | |||||||
\(954\) | 4.82095e8i | 0.0179768i | ||||||||
\(955\) | 2.07829e10 | − | 3.59970e10i | 0.772137 | − | 1.33738i | ||||
\(956\) | − | 9.05682e9i | − | 0.335253i | ||||||
\(957\) | 7.98967e8 | + | 4.61284e8i | 0.0294671 | + | 0.0170128i | ||||
\(958\) | 8.15919e9 | − | 1.41321e10i | 0.299825 | − | 0.519312i | ||||
\(959\) | −1.24694e10 | + | 2.15977e10i | −0.456543 | + | 0.790756i | ||||
\(960\) | 8.08911e9 | − | 4.67025e9i | 0.295088 | − | 0.170369i | ||||
\(961\) | 9.28272e9 | 0.337399 | ||||||||
\(962\) | −4.61022e9 | − | 4.21397e9i | −0.166959 | − | 0.152608i | ||||
\(963\) | −3.66183e9 | −0.132131 | ||||||||
\(964\) | −8.31206e9 | + | 4.79897e9i | −0.298840 | + | 0.172535i | ||||
\(965\) | −2.26395e10 | + | 3.92127e10i | −0.811000 | + | 1.40469i | ||||
\(966\) | −5.70469e9 | + | 9.88082e9i | −0.203616 | + | 0.352674i | ||||
\(967\) | 4.83679e9 | + | 2.79252e9i | 0.172014 | + | 0.0993126i | 0.583535 | − | 0.812088i | \(-0.301669\pi\) |
−0.411521 | + | 0.911400i | \(0.635002\pi\) | |||||||
\(968\) | − | 1.93764e10i | − | 0.686608i | ||||||
\(969\) | 4.07880e9 | − | 7.06468e9i | 0.144012 | − | 0.249436i | ||||
\(970\) | 3.61882e9i | 0.127311i | ||||||||
\(971\) | −1.07828e10 | − | 1.86764e10i | −0.377977 | − | 0.654676i | 0.612790 | − | 0.790245i | \(-0.290047\pi\) |
−0.990768 | + | 0.135569i | \(0.956714\pi\) | |||||||
\(972\) | 5.49742e9 | 0.192011 | ||||||||
\(973\) | −1.46554e10 | −0.510037 | ||||||||
\(974\) | 5.43318e9 | + | 9.41054e9i | 0.188407 | + | 0.326331i | ||||
\(975\) | 7.47042e9 | + | 4.31305e9i | 0.258124 | + | 0.149028i | ||||
\(976\) | − | 2.02538e10i | − | 0.697322i | ||||||
\(977\) | −5.74079e9 | + | 3.31444e9i | −0.196943 | + | 0.113705i | −0.595229 | − | 0.803556i | \(-0.702939\pi\) |
0.398286 | + | 0.917261i | \(0.369605\pi\) | |||||||
\(978\) | −2.63144e9 | − | 4.55780e9i | −0.0899515 | − | 0.155800i | ||||
\(979\) | 2.56245e9 | − | 1.47943e9i | 0.0872801 | − | 0.0503912i | ||||
\(980\) | 3.18080e9 | + | 1.83644e9i | 0.107956 | + | 0.0623283i | ||||
\(981\) | −4.79759e9 | − | 2.76989e9i | −0.162249 | − | 0.0936743i | ||||
\(982\) | −8.28772e9 | + | 4.78492e9i | −0.279283 | + | 0.161244i | ||||
\(983\) | −2.68447e9 | − | 4.64964e9i | −0.0901409 | − | 0.156129i | 0.817429 | − | 0.576029i | \(-0.195398\pi\) |
−0.907570 | + | 0.419900i | \(0.862065\pi\) | |||||||
\(984\) | −1.84627e10 | + | 1.06594e10i | −0.617749 | + | 0.356658i | ||||
\(985\) | 1.31819e10i | 0.439493i | ||||||||
\(986\) | 3.72441e9 | + | 2.15029e9i | 0.123734 | + | 0.0714378i | ||||
\(987\) | −1.34843e10 | − | 2.33556e10i | −0.446395 | − | 0.773179i | ||||
\(988\) | −4.83633e9 | −0.159539 | ||||||||
\(989\) | 3.83360e10 | 1.26014 | ||||||||
\(990\) | −5.77529e7 | − | 1.00031e8i | −0.00189169 | − | 0.00327651i | ||||
\(991\) | 1.77185e10i | 0.578322i | 0.957280 | + | 0.289161i | \(0.0933763\pi\) | ||||
−0.957280 | + | 0.289161i | \(0.906624\pi\) | |||||||
\(992\) | −1.14552e10 | + | 1.98410e10i | −0.372573 | + | 0.645315i | ||||
\(993\) | 2.78771e10i | 0.903494i | ||||||||
\(994\) | −1.05991e10 | − | 6.11937e9i | −0.342306 | − | 0.197631i | ||||
\(995\) | −2.60502e10 | + | 4.51203e10i | −0.838359 | + | 1.45208i | ||||
\(996\) | 8.06593e9 | − | 1.39706e10i | 0.258670 | − | 0.448030i | ||||
\(997\) | 8.71584e9 | − | 5.03209e9i | 0.278533 | − | 0.160811i | −0.354226 | − | 0.935160i | \(-0.615256\pi\) |
0.632759 | + | 0.774349i | \(0.281922\pi\) | |||||||
\(998\) | −1.65215e10 | −0.526130 | ||||||||
\(999\) | −2.17833e10 | − | 1.99111e10i | −0.691266 | − | 0.631852i |
(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.e.a.11.13 | ✓ | 40 | |
37.27 | even | 6 | inner | 37.8.e.a.27.13 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.8.e.a.11.13 | ✓ | 40 | 1.1 | even | 1 | trivial | |
37.8.e.a.27.13 | yes | 40 | 37.27 | even | 6 | inner |