Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,8,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.43439568807\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 7.15 | ||
Character | \(\chi\) | \(=\) | 27.7 |
Dual form | 27.8.e.a.4.15 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 9.90100 | − | 3.60367i | 0.875133 | − | 0.318522i | 0.134889 | − | 0.990861i | \(-0.456932\pi\) |
0.740244 | + | 0.672339i | \(0.234710\pi\) | |||||||
\(3\) | 7.82827 | + | 46.1055i | 0.167394 | + | 0.985890i | ||||
\(4\) | −13.0104 | + | 10.9170i | −0.101644 | + | 0.0852893i | ||||
\(5\) | −29.9915 | − | 170.090i | −0.107301 | − | 0.608532i | −0.990276 | − | 0.139114i | \(-0.955575\pi\) |
0.882976 | − | 0.469419i | \(-0.155536\pi\) | |||||||
\(6\) | 243.657 | + | 428.280i | 0.460520 | + | 0.809466i | ||||
\(7\) | 1223.81 | + | 1026.90i | 1.34857 | + | 1.13158i | 0.979335 | + | 0.202243i | \(0.0648230\pi\) |
0.369230 | + | 0.929338i | \(0.379621\pi\) | |||||||
\(8\) | −763.805 | + | 1322.95i | −0.527434 | + | 0.913542i | ||||
\(9\) | −2064.44 | + | 721.852i | −0.943958 | + | 0.330065i | ||||
\(10\) | −909.893 | − | 1575.98i | −0.287733 | − | 0.498369i | ||||
\(11\) | −790.523 | + | 4483.28i | −0.179077 | + | 1.01560i | 0.754255 | + | 0.656582i | \(0.227998\pi\) |
−0.933332 | + | 0.359015i | \(0.883113\pi\) | |||||||
\(12\) | −605.184 | − | 514.390i | −0.101100 | − | 0.0859326i | ||||
\(13\) | 1003.12 | + | 365.107i | 0.126635 | + | 0.0460912i | 0.404560 | − | 0.914511i | \(-0.367425\pi\) |
−0.277926 | + | 0.960603i | \(0.589647\pi\) | |||||||
\(14\) | 15817.6 | + | 5757.13i | 1.54061 | + | 0.560735i | ||||
\(15\) | 7607.30 | − | 2714.28i | 0.581984 | − | 0.207652i | ||||
\(16\) | −2417.46 | + | 13710.1i | −0.147550 | + | 0.836799i | ||||
\(17\) | −3552.17 | − | 6152.54i | −0.175357 | − | 0.303727i | 0.764928 | − | 0.644116i | \(-0.222775\pi\) |
−0.940285 | + | 0.340389i | \(0.889441\pi\) | |||||||
\(18\) | −17838.7 | + | 14586.6i | −0.720955 | + | 0.589522i | ||||
\(19\) | 28765.8 | − | 49823.9i | 0.962142 | − | 1.66648i | 0.245037 | − | 0.969514i | \(-0.421200\pi\) |
0.717105 | − | 0.696965i | \(-0.245467\pi\) | |||||||
\(20\) | 2247.08 | + | 1885.52i | 0.0628077 | + | 0.0527019i | ||||
\(21\) | −37765.5 | + | 64463.4i | −0.889872 | + | 1.51896i | ||||
\(22\) | 8329.28 | + | 47237.7i | 0.166774 | + | 0.945821i | ||||
\(23\) | 8840.13 | − | 7417.75i | 0.151500 | − | 0.127123i | −0.563887 | − | 0.825852i | \(-0.690695\pi\) |
0.715387 | + | 0.698728i | \(0.246250\pi\) | |||||||
\(24\) | −66974.6 | − | 24859.2i | −0.988941 | − | 0.367070i | ||||
\(25\) | 45382.4 | − | 16517.8i | 0.580894 | − | 0.211428i | ||||
\(26\) | 11247.6 | 0.125503 | ||||||||
\(27\) | −49442.3 | − | 89531.0i | −0.483421 | − | 0.875388i | ||||
\(28\) | −27133.0 | −0.233585 | ||||||||
\(29\) | −8067.50 | + | 2936.33i | −0.0614251 | + | 0.0223569i | −0.372550 | − | 0.928012i | \(-0.621516\pi\) |
0.311125 | + | 0.950369i | \(0.399294\pi\) | |||||||
\(30\) | 65538.5 | − | 54288.3i | 0.443172 | − | 0.367098i | ||||
\(31\) | 107804. | − | 90458.6i | 0.649935 | − | 0.545361i | −0.257116 | − | 0.966381i | \(-0.582772\pi\) |
0.907051 | + | 0.421020i | \(0.138328\pi\) | |||||||
\(32\) | −8482.76 | − | 48108.1i | −0.0457628 | − | 0.259533i | ||||
\(33\) | −212892. | − | 1351.17i | −1.03124 | − | 0.00654502i | ||||
\(34\) | −57341.7 | − | 48115.4i | −0.250204 | − | 0.209946i | ||||
\(35\) | 137962. | − | 238957.i | 0.543902 | − | 0.942065i | ||||
\(36\) | 18978.7 | − | 31929.1i | 0.0677965 | − | 0.114059i | ||||
\(37\) | 162390. | + | 281268.i | 0.527053 | + | 0.912882i | 0.999503 | + | 0.0315247i | \(0.0100363\pi\) |
−0.472450 | + | 0.881357i | \(0.656630\pi\) | |||||||
\(38\) | 105262. | − | 596968.i | 0.311191 | − | 1.76485i | ||||
\(39\) | −8980.72 | + | 49107.6i | −0.0242429 | + | 0.132563i | ||||
\(40\) | 247928. | + | 90238.5i | 0.612514 | + | 0.222937i | ||||
\(41\) | −792033. | − | 288276.i | −1.79473 | − | 0.653229i | −0.998858 | − | 0.0477676i | \(-0.984789\pi\) |
−0.795874 | − | 0.605462i | \(-0.792988\pi\) | |||||||
\(42\) | −141611. | + | 774346.i | −0.294934 | + | 1.61273i | ||||
\(43\) | −80915.8 | + | 458896.i | −0.155201 | + | 0.880187i | 0.803401 | + | 0.595438i | \(0.203021\pi\) |
−0.958602 | + | 0.284749i | \(0.908090\pi\) | |||||||
\(44\) | −38659.0 | − | 66959.4i | −0.0684174 | − | 0.118502i | ||||
\(45\) | 184695. | + | 329491.i | 0.302143 | + | 0.539013i | ||||
\(46\) | 60795.0 | − | 105300.i | 0.0920906 | − | 0.159506i | ||||
\(47\) | 559987. | + | 469885.i | 0.786748 | + | 0.660160i | 0.944938 | − | 0.327249i | \(-0.106122\pi\) |
−0.158191 | + | 0.987409i | \(0.550566\pi\) | |||||||
\(48\) | −651036. | − | 4131.95i | −0.849691 | − | 0.00539276i | ||||
\(49\) | 300186. | + | 1.70244e6i | 0.364506 | + | 2.06721i | ||||
\(50\) | 389806. | − | 327086.i | 0.441015 | − | 0.370056i | ||||
\(51\) | 255859. | − | 211938.i | 0.270087 | − | 0.223725i | ||||
\(52\) | −17036.9 | + | 6200.93i | −0.0168027 | + | 0.00611568i | ||||
\(53\) | 1.20980e6 | 1.11622 | 0.558109 | − | 0.829768i | \(-0.311527\pi\) | ||||
0.558109 | + | 0.829768i | \(0.311527\pi\) | |||||||
\(54\) | −812168. | − | 708273.i | −0.701888 | − | 0.612100i | ||||
\(55\) | 786269. | 0.637238 | ||||||||
\(56\) | −2.29329e6 | + | 834691.i | −1.74503 | + | 0.635137i | ||||
\(57\) | 2.52234e6 | + | 936229.i | 1.80402 | + | 0.669607i | ||||
\(58\) | −69294.7 | + | 58145.2i | −0.0466339 | + | 0.0391305i | ||||
\(59\) | −303839. | − | 1.72316e6i | −0.192602 | − | 1.09230i | −0.915792 | − | 0.401652i | \(-0.868436\pi\) |
0.723190 | − | 0.690649i | \(-0.242675\pi\) | |||||||
\(60\) | −69342.2 | + | 118363.i | −0.0414446 | + | 0.0707435i | ||||
\(61\) | 41666.2 | + | 34962.1i | 0.0235033 | + | 0.0197216i | 0.654464 | − | 0.756093i | \(-0.272894\pi\) |
−0.630960 | + | 0.775815i | \(0.717339\pi\) | |||||||
\(62\) | 741387. | − | 1.28412e6i | 0.395070 | − | 0.684282i | ||||
\(63\) | −3.26776e6 | − | 1.23656e6i | −1.64648 | − | 0.623051i | ||||
\(64\) | −1.14834e6 | − | 1.98898e6i | −0.547570 | − | 0.948418i | ||||
\(65\) | 32015.9 | − | 181571.i | 0.0144600 | − | 0.0820068i | ||||
\(66\) | −2.11271e6 | + | 753815.i | −0.904559 | + | 0.322746i | ||||
\(67\) | 555568. | + | 202210.i | 0.225671 | + | 0.0821375i | 0.452381 | − | 0.891825i | \(-0.350575\pi\) |
−0.226710 | + | 0.973962i | \(0.572797\pi\) | |||||||
\(68\) | 113383. | + | 41267.9i | 0.0437286 | + | 0.0159159i | ||||
\(69\) | 411202. | + | 349511.i | 0.150690 | + | 0.128082i | ||||
\(70\) | 504838. | − | 2.86308e6i | 0.175917 | − | 0.997677i | ||||
\(71\) | 725420. | + | 1.25646e6i | 0.240539 | + | 0.416626i | 0.960868 | − | 0.277007i | \(-0.0893425\pi\) |
−0.720329 | + | 0.693633i | \(0.756009\pi\) | |||||||
\(72\) | 621853. | − | 3.28250e6i | 0.196347 | − | 1.03643i | ||||
\(73\) | 2.04720e6 | − | 3.54585e6i | 0.615928 | − | 1.06682i | −0.374293 | − | 0.927310i | \(-0.622115\pi\) |
0.990221 | − | 0.139508i | \(-0.0445520\pi\) | |||||||
\(74\) | 2.62142e6 | + | 2.19963e6i | 0.752014 | + | 0.631015i | ||||
\(75\) | 1.11683e6 | + | 1.96307e6i | 0.305684 | + | 0.537306i | ||||
\(76\) | 169673. | + | 962266.i | 0.0443370 | + | 0.251448i | ||||
\(77\) | −5.57133e6 | + | 4.67490e6i | −1.39073 | + | 1.16696i | ||||
\(78\) | 88049.5 | + | 518578.i | 0.0210085 | + | 0.123732i | ||||
\(79\) | −873499. | + | 317928.i | −0.199328 | + | 0.0725494i | −0.439755 | − | 0.898118i | \(-0.644935\pi\) |
0.240427 | + | 0.970667i | \(0.422712\pi\) | |||||||
\(80\) | 2.40446e6 | 0.525051 | ||||||||
\(81\) | 3.74083e6 | − | 2.98044e6i | 0.782114 | − | 0.623135i | ||||
\(82\) | −8.88077e6 | −1.77870 | ||||||||
\(83\) | 4.23441e6 | − | 1.54120e6i | 0.812867 | − | 0.295859i | 0.0980596 | − | 0.995181i | \(-0.468736\pi\) |
0.714808 | + | 0.699321i | \(0.246514\pi\) | |||||||
\(84\) | −212404. | − | 1.25098e6i | −0.0391008 | − | 0.230289i | ||||
\(85\) | −939950. | + | 788712.i | −0.166012 | + | 0.139300i | ||||
\(86\) | 852563. | + | 4.83512e6i | 0.144538 | + | 0.819715i | ||||
\(87\) | −198535. | − | 348970.i | −0.0323237 | − | 0.0568160i | ||||
\(88\) | −5.32734e6 | − | 4.47017e6i | −0.833338 | − | 0.699254i | ||||
\(89\) | −2.08301e6 | + | 3.60787e6i | −0.313203 | + | 0.542483i | −0.979054 | − | 0.203602i | \(-0.934735\pi\) |
0.665851 | + | 0.746085i | \(0.268069\pi\) | |||||||
\(90\) | 3.01604e6 | + | 2.59670e6i | 0.436102 | + | 0.375469i | ||||
\(91\) | 852706. | + | 1.47693e6i | 0.118619 | + | 0.205454i | ||||
\(92\) | −34033.9 | + | 193016.i | −0.00455674 | + | 0.0258426i | ||||
\(93\) | 5.01456e6 | + | 4.26224e6i | 0.646461 | + | 0.549474i | ||||
\(94\) | 7.23774e6 | + | 2.63432e6i | 0.898784 | + | 0.327131i | ||||
\(95\) | −9.33727e6 | − | 3.39849e6i | −1.11734 | − | 0.406680i | ||||
\(96\) | 2.15164e6 | − | 767705.i | 0.248211 | − | 0.0885615i | ||||
\(97\) | −68508.1 | + | 388529.i | −0.00762151 | + | 0.0432237i | −0.988381 | − | 0.151994i | \(-0.951430\pi\) |
0.980760 | + | 0.195218i | \(0.0625415\pi\) | |||||||
\(98\) | 9.10717e6 | + | 1.57741e7i | 0.977444 | + | 1.69298i | ||||
\(99\) | −1.60428e6 | − | 9.82608e6i | −0.166172 | − | 1.01779i | ||||
\(100\) | −410117. | + | 710344.i | −0.0410117 | + | 0.0710344i | ||||
\(101\) | −1.44489e7 | − | 1.21240e7i | −1.39543 | − | 1.17091i | −0.963084 | − | 0.269203i | \(-0.913240\pi\) |
−0.432351 | − | 0.901706i | \(-0.642316\pi\) | |||||||
\(102\) | 1.76950e6 | − | 3.02043e6i | 0.165101 | − | 0.281818i | ||||
\(103\) | 814958. | + | 4.62186e6i | 0.0734861 | + | 0.416760i | 0.999252 | + | 0.0386638i | \(0.0123102\pi\) |
−0.925766 | + | 0.378097i | \(0.876579\pi\) | |||||||
\(104\) | −1.24921e6 | + | 1.04821e6i | −0.108898 | + | 0.0913759i | ||||
\(105\) | 1.20972e7 | + | 4.49018e6i | 1.01982 | + | 0.378531i | ||||
\(106\) | 1.19783e7 | − | 4.35973e6i | 0.976839 | − | 0.355540i | ||||
\(107\) | 4.22414e6 | 0.333346 | 0.166673 | − | 0.986012i | \(-0.446698\pi\) | ||||
0.166673 | + | 0.986012i | \(0.446698\pi\) | |||||||
\(108\) | 1.62068e6 | + | 625072.i | 0.123798 | + | 0.0477471i | ||||
\(109\) | −1.65129e7 | −1.22132 | −0.610661 | − | 0.791893i | \(-0.709096\pi\) | ||||
−0.610661 | + | 0.791893i | \(0.709096\pi\) | |||||||
\(110\) | 7.78485e6 | − | 2.83345e6i | 0.557668 | − | 0.202975i | ||||
\(111\) | −1.16968e7 | + | 9.68893e6i | −0.811776 | + | 0.672427i | ||||
\(112\) | −1.70375e7 | + | 1.42961e7i | −1.14589 | + | 0.961513i | ||||
\(113\) | 1.35059e6 | + | 7.65956e6i | 0.0880537 | + | 0.499378i | 0.996656 | + | 0.0817146i | \(0.0260396\pi\) |
−0.908602 | + | 0.417663i | \(0.862849\pi\) | |||||||
\(114\) | 2.83475e7 | + | 179914.i | 1.79204 | + | 0.0113736i | ||||
\(115\) | −1.52681e6 | − | 1.28115e6i | −0.0936146 | − | 0.0785520i | ||||
\(116\) | 72905.4 | − | 126276.i | 0.00433667 | − | 0.00751134i | ||||
\(117\) | −2.33444e6 | − | 29633.3i | −0.134751 | − | 0.00171052i | ||||
\(118\) | −9.21799e6 | − | 1.59660e7i | −0.516475 | − | 0.894561i | ||||
\(119\) | 1.97086e6 | − | 1.11773e7i | 0.107211 | − | 0.608026i | ||||
\(120\) | −2.21964e6 | + | 1.21373e7i | −0.117260 | + | 0.641190i | ||||
\(121\) | −1.16289e6 | − | 423256.i | −0.0596745 | − | 0.0217197i | ||||
\(122\) | 538529. | + | 196008.i | 0.0268503 | + | 0.00977271i | ||||
\(123\) | 7.09089e6 | − | 3.87738e7i | 0.343584 | − | 1.87876i | ||||
\(124\) | −415039. | + | 2.35380e6i | −0.0195485 | + | 0.110865i | ||||
\(125\) | −1.09172e7 | − | 1.89092e7i | −0.499951 | − | 0.865941i | ||||
\(126\) | −3.68102e7 | − | 467268.i | −1.63935 | − | 0.0208098i | ||||
\(127\) | −9.35270e6 | + | 1.61993e7i | −0.405157 | + | 0.701753i | −0.994340 | − | 0.106247i | \(-0.966117\pi\) |
0.589182 | + | 0.808000i | \(0.299450\pi\) | |||||||
\(128\) | −1.37473e7 | − | 1.15354e7i | −0.579407 | − | 0.486180i | ||||
\(129\) | −2.17911e7 | − | 138302.i | −0.893747 | − | 0.00567237i | ||||
\(130\) | −337333. | − | 1.91311e6i | −0.0134666 | − | 0.0763727i | ||||
\(131\) | −6.59189e6 | + | 5.53126e6i | −0.256189 | + | 0.214968i | −0.761832 | − | 0.647775i | \(-0.775700\pi\) |
0.505643 | + | 0.862743i | \(0.331255\pi\) | |||||||
\(132\) | 2.78456e6 | − | 2.30657e6i | 0.105378 | − | 0.0872887i | ||||
\(133\) | 8.63682e7 | − | 3.14355e7i | 3.18327 | − | 1.15861i | ||||
\(134\) | 6.22938e6 | 0.223655 | ||||||||
\(135\) | −1.37455e7 | + | 1.10948e7i | −0.480830 | + | 0.388107i | ||||
\(136\) | 1.08527e7 | 0.369956 | ||||||||
\(137\) | 3.41536e7 | − | 1.24309e7i | 1.13479 | − | 0.413029i | 0.294759 | − | 0.955572i | \(-0.404761\pi\) |
0.840028 | + | 0.542543i | \(0.182538\pi\) | |||||||
\(138\) | 5.33083e6 | + | 1.97867e6i | 0.172670 | + | 0.0640909i | ||||
\(139\) | 1.28789e7 | − | 1.08067e7i | 0.406749 | − | 0.341303i | −0.416347 | − | 0.909206i | \(-0.636690\pi\) |
0.823095 | + | 0.567903i | \(0.192245\pi\) | |||||||
\(140\) | 813758. | + | 4.61505e6i | 0.0250638 | + | 0.142144i | ||||
\(141\) | −1.72806e7 | + | 2.94969e7i | −0.519147 | + | 0.886154i | ||||
\(142\) | 1.17103e7 | + | 9.82608e6i | 0.343208 | + | 0.287986i | ||||
\(143\) | −2.42987e6 | + | 4.20865e6i | −0.0694874 | + | 0.120356i | ||||
\(144\) | −4.90598e6 | − | 3.00487e7i | −0.136917 | − | 0.838604i | ||||
\(145\) | 741396. | + | 1.28414e6i | 0.0201959 | + | 0.0349802i | ||||
\(146\) | 7.49123e6 | − | 4.24849e7i | 0.199213 | − | 1.12979i | ||||
\(147\) | −7.61419e7 | + | 2.71674e7i | −1.97703 | + | 0.705403i | ||||
\(148\) | −5.18338e6 | − | 1.88659e6i | −0.131431 | − | 0.0478368i | ||||
\(149\) | −1.56118e7 | − | 5.68223e6i | −0.386635 | − | 0.140724i | 0.141387 | − | 0.989954i | \(-0.454844\pi\) |
−0.528022 | + | 0.849231i | \(0.677066\pi\) | |||||||
\(150\) | 1.81320e7 | + | 1.54117e7i | 0.438658 | + | 0.372847i | ||||
\(151\) | 2.03732e6 | − | 1.15542e7i | 0.0481549 | − | 0.273100i | −0.951218 | − | 0.308521i | \(-0.900166\pi\) |
0.999372 | + | 0.0354208i | \(0.0112771\pi\) | |||||||
\(152\) | 4.39430e7 | + | 7.61115e7i | 1.01493 | + | 1.75791i | ||||
\(153\) | 1.17745e7 | + | 1.01374e7i | 0.265779 | + | 0.228826i | ||||
\(154\) | −3.83150e7 | + | 6.63634e7i | −0.845368 | + | 1.46422i | ||||
\(155\) | −1.86193e7 | − | 1.56234e7i | −0.401608 | − | 0.336989i | ||||
\(156\) | −419266. | − | 736953.i | −0.00884207 | − | 0.0155419i | ||||
\(157\) | 1.27748e7 | + | 7.24496e7i | 0.263455 | + | 1.49413i | 0.773400 | + | 0.633919i | \(0.218555\pi\) |
−0.509945 | + | 0.860207i | \(0.670334\pi\) | |||||||
\(158\) | −7.50281e6 | + | 6.29560e6i | −0.151330 | + | 0.126981i | ||||
\(159\) | 9.47066e6 | + | 5.57786e7i | 0.186849 | + | 1.10047i | ||||
\(160\) | −7.92830e6 | + | 2.88566e6i | −0.153024 | + | 0.0556962i | ||||
\(161\) | 1.84360e7 | 0.348157 | ||||||||
\(162\) | 2.62974e7 | − | 4.29900e7i | 0.485971 | − | 0.794447i | ||||
\(163\) | −6.76637e6 | −0.122377 | −0.0611884 | − | 0.998126i | \(-0.519489\pi\) | ||||
−0.0611884 | + | 0.998126i | \(0.519489\pi\) | |||||||
\(164\) | 1.34518e7 | − | 4.89605e6i | 0.238137 | − | 0.0866747i | ||||
\(165\) | 6.15512e6 | + | 3.62513e7i | 0.106670 | + | 0.628247i | ||||
\(166\) | 3.63709e7 | − | 3.05188e7i | 0.617129 | − | 0.517833i | ||||
\(167\) | 7.48420e6 | + | 4.24450e7i | 0.124348 | + | 0.705211i | 0.981693 | + | 0.190469i | \(0.0610009\pi\) |
−0.857346 | + | 0.514741i | \(0.827888\pi\) | |||||||
\(168\) | −5.64364e7 | − | 9.91993e7i | −0.918283 | − | 1.61408i | ||||
\(169\) | −4.71952e7 | − | 3.96015e7i | −0.752133 | − | 0.631114i | ||||
\(170\) | −6.46419e6 | + | 1.11963e7i | −0.100912 | + | 0.174785i | ||||
\(171\) | −2.34197e7 | + | 1.23623e8i | −0.358175 | + | 1.89066i | ||||
\(172\) | −3.95703e6 | − | 6.85378e6i | −0.0592953 | − | 0.102702i | ||||
\(173\) | 1.65870e7 | − | 9.40694e7i | 0.243560 | − | 1.38130i | −0.580253 | − | 0.814436i | \(-0.697046\pi\) |
0.823813 | − | 0.566861i | \(-0.191842\pi\) | |||||||
\(174\) | −3.22327e6 | − | 2.73969e6i | −0.0463846 | − | 0.0394257i | ||||
\(175\) | 7.25017e7 | + | 2.63885e7i | 1.02262 | + | 0.372204i | ||||
\(176\) | −5.95552e7 | − | 2.16763e7i | −0.823427 | − | 0.299703i | ||||
\(177\) | 7.70685e7 | − | 2.74980e7i | 1.04465 | − | 0.372730i | ||||
\(178\) | −7.62226e6 | + | 4.32280e7i | −0.101301 | + | 0.574507i | ||||
\(179\) | −5.17733e7 | − | 8.96740e7i | −0.674715 | − | 1.16864i | −0.976552 | − | 0.215281i | \(-0.930933\pi\) |
0.301837 | − | 0.953359i | \(-0.402400\pi\) | |||||||
\(180\) | −6.00002e6 | − | 2.27048e6i | −0.0766829 | − | 0.0290178i | ||||
\(181\) | 5.81140e7 | − | 1.00656e8i | 0.728460 | − | 1.26173i | −0.229074 | − | 0.973409i | \(-0.573570\pi\) |
0.957534 | − | 0.288321i | \(-0.0930970\pi\) | |||||||
\(182\) | 1.37650e7 | + | 1.15502e7i | 0.169249 | + | 0.142017i | ||||
\(183\) | −1.28577e6 | + | 2.19473e6i | −0.0155090 | + | 0.0264730i | ||||
\(184\) | 3.06117e6 | + | 1.73608e7i | 0.0362264 | + | 0.205450i | ||||
\(185\) | 4.29706e7 | − | 3.60566e7i | 0.498965 | − | 0.418681i | ||||
\(186\) | 6.50088e7 | + | 2.41296e7i | 0.740759 | + | 0.274951i | ||||
\(187\) | 3.03916e7 | − | 1.10616e7i | 0.339866 | − | 0.123701i | ||||
\(188\) | −1.24154e7 | −0.136273 | ||||||||
\(189\) | 3.14314e7 | − | 1.60342e8i | 0.338647 | − | 1.72755i | ||||
\(190\) | −1.04695e8 | −1.10736 | ||||||||
\(191\) | −1.30673e8 | + | 4.75609e7i | −1.35696 | + | 0.493894i | −0.915113 | − | 0.403196i | \(-0.867899\pi\) |
−0.441848 | + | 0.897090i | \(0.645677\pi\) | |||||||
\(192\) | 8.27133e7 | − | 6.85149e7i | 0.843376 | − | 0.698603i | ||||
\(193\) | −7.78121e7 | + | 6.52921e7i | −0.779106 | + | 0.653748i | −0.943023 | − | 0.332726i | \(-0.892031\pi\) |
0.163917 | + | 0.986474i | \(0.447587\pi\) | |||||||
\(194\) | 721831. | + | 4.09370e6i | 0.00709789 | + | 0.0402541i | ||||
\(195\) | 8.62206e6 | + | 54721.9i | 0.0832703 | + | 0.000528494i | ||||
\(196\) | −2.24911e7 | − | 1.88723e7i | −0.213361 | − | 0.179031i | ||||
\(197\) | 1.40093e6 | − | 2.42649e6i | 0.0130553 | − | 0.0226124i | −0.859424 | − | 0.511264i | \(-0.829178\pi\) |
0.872479 | + | 0.488651i | \(0.162511\pi\) | |||||||
\(198\) | −5.12939e7 | − | 9.15067e7i | −0.469610 | − | 0.837770i | ||||
\(199\) | −4.95791e7 | − | 8.58736e7i | −0.445978 | − | 0.772456i | 0.552142 | − | 0.833750i | \(-0.313811\pi\) |
−0.998120 | + | 0.0612940i | \(0.980477\pi\) | |||||||
\(200\) | −1.28110e7 | + | 7.26550e7i | −0.113235 | + | 0.642186i | ||||
\(201\) | −4.97387e6 | + | 2.71977e7i | −0.0432025 | + | 0.236236i | ||||
\(202\) | −1.86749e8 | − | 6.79712e7i | −1.59415 | − | 0.580223i | ||||
\(203\) | −1.28884e7 | − | 4.69101e6i | −0.108134 | − | 0.0393577i | ||||
\(204\) | −1.01509e6 | + | 5.55062e6i | −0.00837140 | + | 0.0457758i | ||||
\(205\) | −2.52787e7 | + | 1.43363e8i | −0.204935 | + | 1.16225i | ||||
\(206\) | 2.47245e7 | + | 4.28242e7i | 0.197058 | + | 0.341314i | ||||
\(207\) | −1.28954e7 | + | 2.16947e7i | −0.101050 | + | 0.170004i | ||||
\(208\) | −7.43066e6 | + | 1.28703e7i | −0.0572540 | + | 0.0991669i | ||||
\(209\) | 2.00634e8 | + | 1.68352e8i | 1.52017 | + | 1.27558i | ||||
\(210\) | 1.35956e8 | + | 862874.i | 1.01305 | + | 0.00642954i | ||||
\(211\) | −1.59342e7 | − | 9.03674e7i | −0.116773 | − | 0.662252i | −0.985857 | − | 0.167588i | \(-0.946402\pi\) |
0.869084 | − | 0.494664i | \(-0.164709\pi\) | |||||||
\(212\) | −1.57400e7 | + | 1.32075e7i | −0.113457 | + | 0.0952014i | ||||
\(213\) | −5.22512e7 | + | 4.32818e7i | −0.370482 | + | 0.306886i | ||||
\(214\) | 4.18232e7 | − | 1.52224e7i | 0.291722 | − | 0.106178i | ||||
\(215\) | 8.04804e7 | 0.552275 | ||||||||
\(216\) | 1.56209e8 | + | 2.97458e6i | 1.05468 | + | 0.0200834i | ||||
\(217\) | 2.24824e8 | 1.49360 | ||||||||
\(218\) | −1.63494e8 | + | 5.95069e7i | −1.06882 | + | 0.389018i | ||||
\(219\) | 1.79509e8 | + | 6.66292e7i | 1.15487 | + | 0.428658i | ||||
\(220\) | −1.02297e7 | + | 8.58372e6i | −0.0647713 | + | 0.0543496i | ||||
\(221\) | −1.31693e6 | − | 7.46867e6i | −0.00820709 | − | 0.0465447i | ||||
\(222\) | −8.08941e7 | + | 1.38081e8i | −0.496228 | + | 0.847032i | ||||
\(223\) | −2.26700e8 | − | 1.90224e8i | −1.36894 | − | 1.14868i | −0.973108 | − | 0.230351i | \(-0.926012\pi\) |
−0.395830 | − | 0.918324i | \(-0.629543\pi\) | |||||||
\(224\) | 3.90210e7 | − | 6.75863e7i | 0.231969 | − | 0.401782i | ||||
\(225\) | −8.17656e7 | + | 6.68594e7i | −0.478555 | + | 0.391312i | ||||
\(226\) | 4.09746e7 | + | 7.09702e7i | 0.236122 | + | 0.408975i | ||||
\(227\) | −4.70983e7 | + | 2.67107e8i | −0.267248 | + | 1.51564i | 0.495309 | + | 0.868717i | \(0.335055\pi\) |
−0.762557 | + | 0.646921i | \(0.776056\pi\) | |||||||
\(228\) | −4.30375e7 | + | 1.53558e7i | −0.240478 | + | 0.0858024i | ||||
\(229\) | 1.89940e8 | + | 6.91326e7i | 1.04518 | + | 0.380416i | 0.806844 | − | 0.590765i | \(-0.201174\pi\) |
0.238341 | + | 0.971181i | \(0.423396\pi\) | |||||||
\(230\) | −1.97338e7 | − | 7.18252e6i | −0.106946 | − | 0.0389251i | ||||
\(231\) | −2.59153e8 | − | 2.20273e8i | −1.38329 | − | 1.17576i | ||||
\(232\) | 2.27738e6 | − | 1.29157e7i | 0.0119737 | − | 0.0679062i | ||||
\(233\) | 1.98574e7 | + | 3.43940e7i | 0.102844 | + | 0.178130i | 0.912855 | − | 0.408284i | \(-0.133873\pi\) |
−0.810012 | + | 0.586414i | \(0.800539\pi\) | |||||||
\(234\) | −2.32200e7 | + | 8.11913e6i | −0.118470 | + | 0.0414242i | ||||
\(235\) | 6.31279e7 | − | 1.09341e8i | 0.317310 | − | 0.549597i | ||||
\(236\) | 2.27648e7 | + | 1.91019e7i | 0.112738 | + | 0.0945988i | ||||
\(237\) | −2.14962e7 | − | 3.77843e7i | −0.104892 | − | 0.184371i | ||||
\(238\) | −2.07658e7 | − | 1.17769e8i | −0.0998456 | − | 0.566252i | ||||
\(239\) | 1.72682e7 | − | 1.44898e7i | 0.0818193 | − | 0.0686545i | −0.600961 | − | 0.799279i | \(-0.705215\pi\) |
0.682780 | + | 0.730624i | \(0.260771\pi\) | |||||||
\(240\) | 1.88227e7 | + | 1.10859e8i | 0.0878907 | + | 0.517643i | ||||
\(241\) | −1.01199e8 | + | 3.68335e7i | −0.465712 | + | 0.169505i | −0.564209 | − | 0.825632i | \(-0.690819\pi\) |
0.0984969 | + | 0.995137i | \(0.468597\pi\) | |||||||
\(242\) | −1.30390e7 | −0.0591413 | ||||||||
\(243\) | 1.66699e8 | + | 1.49141e8i | 0.745264 | + | 0.666769i | ||||
\(244\) | −923776. | −0.00407101 | ||||||||
\(245\) | 2.80565e8 | − | 1.02117e8i | 1.21885 | − | 0.443627i | ||||
\(246\) | −6.95210e7 | − | 4.09452e8i | −0.297744 | − | 1.75360i | ||||
\(247\) | 4.70467e7 | − | 3.94768e7i | 0.198650 | − | 0.166688i | ||||
\(248\) | 3.73306e7 | + | 2.11712e8i | 0.155412 | + | 0.881385i | ||||
\(249\) | 1.04206e8 | + | 1.83165e8i | 0.427754 | + | 0.751872i | ||||
\(250\) | −1.76234e8 | − | 1.47878e8i | −0.713345 | − | 0.598568i | ||||
\(251\) | −4.55818e7 | + | 7.89499e7i | −0.181942 | + | 0.315133i | −0.942542 | − | 0.334088i | \(-0.891572\pi\) |
0.760600 | + | 0.649221i | \(0.224905\pi\) | |||||||
\(252\) | 5.60144e7 | − | 1.95860e7i | 0.220494 | − | 0.0770983i | ||||
\(253\) | 2.62675e7 | + | 4.54967e7i | 0.101976 | + | 0.176627i | ||||
\(254\) | −3.42239e7 | + | 1.94094e8i | −0.131042 | + | 0.743179i | ||||
\(255\) | −4.37222e7 | − | 3.71626e7i | −0.165124 | − | 0.140351i | ||||
\(256\) | 9.85633e7 | + | 3.58741e7i | 0.367177 | + | 0.133641i | ||||
\(257\) | −3.31261e8 | − | 1.20569e8i | −1.21732 | − | 0.443068i | −0.348082 | − | 0.937464i | \(-0.613167\pi\) |
−0.869237 | + | 0.494396i | \(0.835389\pi\) | |||||||
\(258\) | −2.16252e8 | + | 7.71585e7i | −0.783954 | + | 0.279714i | ||||
\(259\) | −9.00993e7 | + | 5.10979e8i | −0.322235 | + | 1.82748i | ||||
\(260\) | 1.56568e6 | + | 2.71183e6i | 0.00552453 | + | 0.00956877i | ||||
\(261\) | 1.45352e7 | − | 1.18854e7i | 0.0506035 | − | 0.0413783i | ||||
\(262\) | −4.53335e7 | + | 7.85199e7i | −0.155727 | + | 0.269728i | ||||
\(263\) | −3.94273e8 | − | 3.30834e8i | −1.33645 | − | 1.12141i | −0.982524 | − | 0.186138i | \(-0.940403\pi\) |
−0.353923 | − | 0.935274i | \(-0.615153\pi\) | |||||||
\(264\) | 1.64396e8 | − | 2.80614e8i | 0.549891 | − | 0.938631i | ||||
\(265\) | −3.62838e7 | − | 2.05775e8i | −0.119771 | − | 0.679255i | ||||
\(266\) | 7.41848e8 | − | 6.22485e8i | 2.41674 | − | 2.02788i | ||||
\(267\) | −1.82649e8 | − | 6.77947e7i | −0.587257 | − | 0.217975i | ||||
\(268\) | −9.43570e6 | + | 3.43431e6i | −0.0299435 | + | 0.0108985i | ||||
\(269\) | −2.27462e8 | −0.712484 | −0.356242 | − | 0.934394i | \(-0.615942\pi\) | ||||
−0.356242 | + | 0.934394i | \(0.615942\pi\) | |||||||
\(270\) | −9.61120e7 | + | 1.59384e8i | −0.297170 | + | 0.492800i | ||||
\(271\) | 2.54368e8 | 0.776372 | 0.388186 | − | 0.921581i | \(-0.373102\pi\) | ||||
0.388186 | + | 0.921581i | \(0.373102\pi\) | |||||||
\(272\) | 9.29392e7 | − | 3.38271e7i | 0.280032 | − | 0.101923i | ||||
\(273\) | −6.14194e7 | + | 5.08763e7i | −0.182699 | + | 0.151337i | ||||
\(274\) | 2.93358e8 | − | 2.46156e8i | 0.861530 | − | 0.722910i | ||||
\(275\) | 3.81782e7 | + | 2.16519e8i | 0.110701 | + | 0.627816i | ||||
\(276\) | −9.16552e6 | − | 58171.1i | −0.0262407 | − | 0.000166543i | ||||
\(277\) | 2.44507e8 | + | 2.05165e8i | 0.691212 | + | 0.579996i | 0.919259 | − | 0.393654i | \(-0.128789\pi\) |
−0.228046 | + | 0.973650i | \(0.573234\pi\) | |||||||
\(278\) | 8.85701e7 | − | 1.53408e8i | 0.247247 | − | 0.428244i | ||||
\(279\) | −1.57257e8 | + | 2.64565e8i | −0.433507 | + | 0.729319i | ||||
\(280\) | 2.10752e8 | + | 3.65033e8i | 0.573744 | + | 0.993754i | ||||
\(281\) | −2.54207e7 | + | 1.44168e8i | −0.0683463 | + | 0.387611i | 0.931376 | + | 0.364058i | \(0.118609\pi\) |
−0.999723 | + | 0.0235530i | \(0.992502\pi\) | |||||||
\(282\) | −6.47978e7 | + | 3.54322e8i | −0.172063 | + | 0.940862i | ||||
\(283\) | −3.14891e8 | − | 1.14611e8i | −0.825862 | − | 0.300589i | −0.105703 | − | 0.994398i | \(-0.533709\pi\) |
−0.720159 | + | 0.693809i | \(0.755931\pi\) | |||||||
\(284\) | −2.31549e7 | − | 8.42768e6i | −0.0599830 | − | 0.0218320i | ||||
\(285\) | 8.35944e7 | − | 4.57104e8i | 0.213905 | − | 1.16966i | ||||
\(286\) | −8.89151e6 | + | 5.04262e7i | −0.0224747 | + | 0.127460i | ||||
\(287\) | −6.73269e8 | − | 1.16614e9i | −1.68113 | − | 2.91181i | ||||
\(288\) | 5.22391e7 | + | 9.31928e7i | 0.128861 | + | 0.229884i | ||||
\(289\) | 1.79934e8 | − | 3.11654e8i | 0.438500 | − | 0.759504i | ||||
\(290\) | 1.19682e7 | + | 1.00425e7i | 0.0288160 | + | 0.0241795i | ||||
\(291\) | −1.84496e7 | − | 117095.i | −0.0438897 | − | 0.000278556i | ||||
\(292\) | 1.20753e7 | + | 6.84823e7i | 0.0283829 | + | 0.160967i | ||||
\(293\) | 4.67810e8 | − | 3.92539e8i | 1.08651 | − | 0.911689i | 0.0900636 | − | 0.995936i | \(-0.471293\pi\) |
0.996445 | + | 0.0842472i | \(0.0268485\pi\) | |||||||
\(294\) | −6.55978e8 | + | 5.43374e8i | −1.50548 | + | 1.24705i | ||||
\(295\) | −2.83979e8 | + | 1.03360e8i | −0.644034 | + | 0.234409i | ||||
\(296\) | −4.96138e8 | −1.11194 | ||||||||
\(297\) | 4.40478e8 | − | 1.50887e8i | 0.975610 | − | 0.334199i | ||||
\(298\) | −1.75049e8 | −0.383180 | ||||||||
\(299\) | 1.15760e7 | − | 4.21332e6i | 0.0250443 | − | 0.00911539i | ||||
\(300\) | −3.59613e7 | − | 1.33479e7i | −0.0768973 | − | 0.0285423i | ||||
\(301\) | −5.70267e8 | + | 4.78511e8i | −1.20530 | + | 1.01137i | ||||
\(302\) | −2.14661e7 | − | 1.21740e8i | −0.0448465 | − | 0.254337i | ||||
\(303\) | 4.45876e8 | − | 7.61083e8i | 0.920799 | − | 1.57175i | ||||
\(304\) | 6.13550e8 | + | 5.14830e8i | 1.25254 | + | 1.05101i | ||||
\(305\) | 4.69707e6 | − | 8.13557e6i | 0.00947933 | − | 0.0164187i | ||||
\(306\) | 1.53111e8 | + | 5.79390e7i | 0.305478 | + | 0.115597i | ||||
\(307\) | 2.76433e8 | + | 4.78796e8i | 0.545263 | + | 0.944423i | 0.998590 | + | 0.0530789i | \(0.0169035\pi\) |
−0.453328 | + | 0.891344i | \(0.649763\pi\) | |||||||
\(308\) | 2.14493e7 | − | 1.21645e8i | 0.0418297 | − | 0.237228i | ||||
\(309\) | −2.06713e8 | + | 7.37552e7i | −0.398579 | + | 0.142213i | ||||
\(310\) | −2.40651e8 | − | 8.75899e7i | −0.458799 | − | 0.166989i | ||||
\(311\) | 5.06358e8 | + | 1.84299e8i | 0.954544 | + | 0.347426i | 0.771893 | − | 0.635752i | \(-0.219310\pi\) |
0.182651 | + | 0.983178i | \(0.441532\pi\) | |||||||
\(312\) | −5.81074e7 | − | 4.93897e7i | −0.108315 | − | 0.0920652i | ||||
\(313\) | 6.38469e7 | − | 3.62094e8i | 0.117689 | − | 0.667446i | −0.867695 | − | 0.497097i | \(-0.834399\pi\) |
0.985384 | − | 0.170349i | \(-0.0544895\pi\) | |||||||
\(314\) | 3.87568e8 | + | 6.71287e8i | 0.706470 | + | 1.22364i | ||||
\(315\) | −1.12322e8 | + | 5.92899e8i | −0.202477 | + | 1.06879i | ||||
\(316\) | 7.89376e6 | − | 1.36724e7i | 0.0140727 | − | 0.0243747i | ||||
\(317\) | 4.46029e8 | + | 3.74263e8i | 0.786422 | + | 0.659886i | 0.944857 | − | 0.327483i | \(-0.106200\pi\) |
−0.158435 | + | 0.987369i | \(0.550645\pi\) | |||||||
\(318\) | 2.94776e8 | + | 5.18134e8i | 0.514041 | + | 0.903540i | ||||
\(319\) | −6.78683e6 | − | 3.84900e7i | −0.0117058 | − | 0.0663867i | ||||
\(320\) | −3.03865e8 | + | 2.54973e8i | −0.518389 | + | 0.434980i | ||||
\(321\) | 3.30677e7 | + | 1.94756e8i | 0.0558002 | + | 0.328642i | ||||
\(322\) | 1.82534e8 | − | 6.64371e7i | 0.304684 | − | 0.110896i | ||||
\(323\) | −4.08724e8 | −0.674872 | ||||||||
\(324\) | −1.61322e7 | + | 7.96154e7i | −0.0263503 | + | 0.130044i | ||||
\(325\) | 5.15549e7 | 0.0833063 | ||||||||
\(326\) | −6.69938e7 | + | 2.43837e7i | −0.107096 | + | 0.0389797i | ||||
\(327\) | −1.29267e8 | − | 7.61334e8i | −0.204442 | − | 1.20409i | ||||
\(328\) | 9.86334e8 | − | 8.27633e8i | 1.54335 | − | 1.29503i | ||||
\(329\) | 2.02794e8 | + | 1.15010e9i | 0.313957 | + | 1.78054i | ||||
\(330\) | 1.91580e8 | + | 3.36743e8i | 0.293461 | + | 0.515822i | ||||
\(331\) | 3.73033e7 | + | 3.13012e7i | 0.0565391 | + | 0.0474420i | 0.670619 | − | 0.741802i | \(-0.266028\pi\) |
−0.614080 | + | 0.789244i | \(0.710473\pi\) | |||||||
\(332\) | −3.82661e7 | + | 6.62788e7i | −0.0573893 | + | 0.0994011i | ||||
\(333\) | −5.38279e8 | − | 4.63439e8i | −0.798826 | − | 0.687761i | ||||
\(334\) | 2.27059e8 | + | 3.93277e8i | 0.333446 | + | 0.577545i | ||||
\(335\) | 1.77316e7 | − | 1.00561e8i | 0.0257687 | − | 0.146141i | ||||
\(336\) | −7.92504e8 | − | 6.73607e8i | −1.13976 | − | 0.968766i | ||||
\(337\) | −4.31611e8 | − | 1.57093e8i | −0.614310 | − | 0.223591i | 0.0160781 | − | 0.999871i | \(-0.494882\pi\) |
−0.630388 | + | 0.776280i | \(0.717104\pi\) | |||||||
\(338\) | −6.09990e8 | − | 2.22018e8i | −0.859240 | − | 0.312738i | ||||
\(339\) | −3.42575e8 | + | 1.22231e8i | −0.477592 | + | 0.170404i | ||||
\(340\) | 3.61875e6 | − | 2.05229e7i | 0.00499323 | − | 0.0283180i | ||||
\(341\) | 3.20329e8 | + | 5.54826e8i | 0.437478 | + | 0.757734i | ||||
\(342\) | 2.13617e8 | + | 1.30839e9i | 0.288765 | + | 1.76866i | ||||
\(343\) | −7.23030e8 | + | 1.25232e9i | −0.967446 | + | 1.67567i | ||||
\(344\) | −5.45293e8 | − | 4.57555e8i | −0.722229 | − | 0.606022i | ||||
\(345\) | 4.71157e7 | − | 8.04237e7i | 0.0617730 | − | 0.105443i | ||||
\(346\) | −1.74767e8 | − | 9.91155e8i | −0.226827 | − | 1.28640i | ||||
\(347\) | 5.93836e8 | − | 4.98288e8i | 0.762981 | − | 0.640217i | −0.175920 | − | 0.984404i | \(-0.556290\pi\) |
0.938901 | + | 0.344188i | \(0.111846\pi\) | |||||||
\(348\) | 6.39274e6 | + | 2.37282e6i | 0.00813129 | + | 0.00301813i | ||||
\(349\) | 3.37732e7 | − | 1.22924e7i | 0.0425288 | − | 0.0154792i | −0.320668 | − | 0.947192i | \(-0.603907\pi\) |
0.363197 | + | 0.931712i | \(0.381685\pi\) | |||||||
\(350\) | 8.12935e8 | 1.01349 | ||||||||
\(351\) | −1.69083e7 | − | 1.07862e8i | −0.0208702 | − | 0.133136i | ||||
\(352\) | 2.22388e8 | 0.271776 | ||||||||
\(353\) | −6.35785e8 | + | 2.31407e8i | −0.769306 | + | 0.280004i | −0.696706 | − | 0.717357i | \(-0.745352\pi\) |
−0.0725997 | + | 0.997361i | \(0.523130\pi\) | |||||||
\(354\) | 6.63961e8 | − | 5.49986e8i | 0.795483 | − | 0.658932i | ||||
\(355\) | 1.91956e8 | − | 1.61070e8i | 0.227720 | − | 0.191080i | ||||
\(356\) | −1.22865e7 | − | 6.96801e7i | −0.0144329 | − | 0.0818529i | ||||
\(357\) | 5.30763e8 | + | 3.36861e6i | 0.617393 | + | 0.00391843i | ||||
\(358\) | −8.35763e8 | − | 7.01288e8i | −0.962703 | − | 0.807804i | ||||
\(359\) | −2.25184e8 | + | 3.90030e8i | −0.256866 | + | 0.444905i | −0.965401 | − | 0.260771i | \(-0.916023\pi\) |
0.708535 | + | 0.705676i | \(0.249357\pi\) | |||||||
\(360\) | −5.76971e8 | − | 7.32405e6i | −0.651771 | − | 0.00827356i | ||||
\(361\) | −1.20801e9 | − | 2.09233e9i | −1.35143 | − | 2.34075i | ||||
\(362\) | 2.12654e8 | − | 1.20602e9i | 0.235610 | − | 1.33621i | ||||
\(363\) | 1.04111e7 | − | 5.69288e7i | 0.0114241 | − | 0.0624682i | ||||
\(364\) | −2.72177e7 | − | 9.90645e6i | −0.0295799 | − | 0.0107662i | ||||
\(365\) | −6.64512e8 | − | 2.41863e8i | −0.715283 | − | 0.260342i | ||||
\(366\) | −4.82132e6 | + | 2.63635e7i | −0.00514023 | + | 0.0281074i | ||||
\(367\) | 2.54577e8 | − | 1.44378e9i | 0.268836 | − | 1.52465i | −0.489048 | − | 0.872257i | \(-0.662656\pi\) |
0.757885 | − | 0.652389i | \(-0.226233\pi\) | |||||||
\(368\) | 8.03275e7 | + | 1.39131e8i | 0.0840228 | + | 0.145532i | ||||
\(369\) | 1.84320e9 | + | 2.33975e7i | 1.90976 | + | 0.0242425i | ||||
\(370\) | 2.95516e8 | − | 5.11848e8i | 0.303301 | − | 0.525333i | ||||
\(371\) | 1.48057e9 | + | 1.24235e9i | 1.50529 | + | 1.26309i | ||||
\(372\) | −1.11772e8 | − | 709389.i | −0.112573 | − | 0.000714471i | ||||
\(373\) | 1.80892e8 | + | 1.02589e9i | 0.180484 | + | 1.02358i | 0.931621 | + | 0.363430i | \(0.118394\pi\) |
−0.751137 | + | 0.660146i | \(0.770494\pi\) | |||||||
\(374\) | 2.61045e8 | − | 2.19042e8i | 0.258026 | − | 0.216510i | ||||
\(375\) | 7.86356e8 | − | 6.51371e8i | 0.770034 | − | 0.637851i | ||||
\(376\) | −1.04936e9 | + | 3.81934e8i | −1.01804 | + | 0.370536i | ||||
\(377\) | −9.16476e6 | −0.00880900 | ||||||||
\(378\) | −2.66616e8 | − | 1.70081e9i | −0.253902 | − | 1.61970i | ||||
\(379\) | 1.91996e7 | 0.0181157 | 0.00905783 | − | 0.999959i | \(-0.497117\pi\) | ||||
0.00905783 | + | 0.999959i | \(0.497117\pi\) | |||||||
\(380\) | 1.58583e8 | − | 5.77195e7i | 0.148257 | − | 0.0539610i | ||||
\(381\) | −8.20095e8 | − | 3.04398e8i | −0.759673 | − | 0.281971i | ||||
\(382\) | −1.12239e9 | + | 9.41801e8i | −1.03021 | + | 0.864445i | ||||
\(383\) | 3.24353e8 | + | 1.83950e9i | 0.295000 | + | 1.67303i | 0.667201 | + | 0.744878i | \(0.267492\pi\) |
−0.372201 | + | 0.928152i | \(0.621397\pi\) | |||||||
\(384\) | 4.24227e8 | − | 7.24130e8i | 0.382331 | − | 0.652615i | ||||
\(385\) | 9.62247e8 | + | 8.07421e8i | 0.859358 | + | 0.721087i | ||||
\(386\) | −5.35126e8 | + | 9.26866e8i | −0.473588 | + | 0.820278i | ||||
\(387\) | −1.64210e8 | − | 1.00577e9i | −0.144016 | − | 0.882086i | ||||
\(388\) | −3.35026e6 | − | 5.80282e6i | −0.00291184 | − | 0.00504346i | ||||
\(389\) | −1.21739e8 | + | 6.90419e8i | −0.104860 | + | 0.594688i | 0.886417 | + | 0.462888i | \(0.153187\pi\) |
−0.991276 | + | 0.131800i | \(0.957924\pi\) | |||||||
\(390\) | 8.55642e7 | − | 3.05292e7i | 0.0730409 | − | 0.0260609i | ||||
\(391\) | −7.70397e7 | − | 2.80401e7i | −0.0651772 | − | 0.0237226i | ||||
\(392\) | −2.48153e9 | − | 9.03202e8i | −2.08074 | − | 0.757327i | ||||
\(393\) | −3.06624e8 | − | 2.60622e8i | −0.254820 | − | 0.216590i | ||||
\(394\) | 5.12638e6 | − | 2.90732e7i | 0.00422254 | − | 0.0239472i | ||||
\(395\) | 8.02738e7 | + | 1.39038e8i | 0.0655367 | + | 0.113513i | ||||
\(396\) | 1.28144e8 | + | 1.10327e8i | 0.103697 | + | 0.0892791i | ||||
\(397\) | 2.60613e8 | − | 4.51394e8i | 0.209040 | − | 0.362067i | −0.742373 | − | 0.669987i | \(-0.766300\pi\) |
0.951412 | + | 0.307920i | \(0.0996329\pi\) | |||||||
\(398\) | −8.00343e8 | − | 6.71567e8i | −0.636334 | − | 0.533948i | ||||
\(399\) | 2.12546e9 | + | 3.73596e9i | 1.67513 | + | 2.94441i | ||||
\(400\) | 1.16751e8 | + | 6.62129e8i | 0.0912118 | + | 0.517288i | ||||
\(401\) | 5.01464e8 | − | 4.20778e8i | 0.388360 | − | 0.325872i | −0.427614 | − | 0.903961i | \(-0.640646\pi\) |
0.815974 | + | 0.578089i | \(0.196201\pi\) | |||||||
\(402\) | 4.87652e7 | + | 2.87209e8i | 0.0374385 | + | 0.220499i | ||||
\(403\) | 1.41168e8 | − | 5.13809e7i | 0.107441 | − | 0.0391052i | ||||
\(404\) | 3.20344e8 | 0.241703 | ||||||||
\(405\) | −6.19135e8 | − | 5.46890e8i | −0.463119 | − | 0.409079i | ||||
\(406\) | −1.44513e8 | −0.107168 | ||||||||
\(407\) | −1.38938e9 | + | 5.05692e8i | −1.02150 | + | 0.371797i | ||||
\(408\) | 8.49576e7 | + | 5.00368e8i | 0.0619286 | + | 0.364736i | ||||
\(409\) | −1.11904e9 | + | 9.38989e8i | −0.808752 | + | 0.678623i | −0.950310 | − | 0.311307i | \(-0.899233\pi\) |
0.141558 | + | 0.989930i | \(0.454789\pi\) | |||||||
\(410\) | 2.66347e8 | + | 1.51053e9i | 0.190855 | + | 1.08239i | ||||
\(411\) | 8.40496e8 | + | 1.47736e9i | 0.597158 | + | 1.04964i | ||||
\(412\) | −6.10599e7 | − | 5.12353e7i | −0.0430146 | − | 0.0360935i | ||||
\(413\) | 1.39767e9 | − | 2.42083e9i | 0.976291 | − | 1.69099i | ||||
\(414\) | −4.94963e7 | + | 2.61270e8i | −0.0342825 | + | 0.180963i | ||||
\(415\) | −3.89139e8 | − | 6.74008e8i | −0.267261 | − | 0.462910i | ||||
\(416\) | 9.05535e6 | − | 5.13554e7i | 0.00616707 | − | 0.0349752i | ||||
\(417\) | 5.99066e8 | + | 5.09190e8i | 0.404574 | + | 0.343877i | ||||
\(418\) | 2.59316e9 | + | 9.43834e8i | 1.73665 | + | 0.632089i | ||||
\(419\) | −8.89592e7 | − | 3.23785e7i | −0.0590802 | − | 0.0215034i | 0.312311 | − | 0.949980i | \(-0.398897\pi\) |
−0.371391 | + | 0.928476i | \(0.621119\pi\) | |||||||
\(420\) | −2.06409e8 | + | 7.36466e7i | −0.135943 | + | 0.0485043i | ||||
\(421\) | −1.37002e8 | + | 7.76979e8i | −0.0894831 | + | 0.507484i | 0.906816 | + | 0.421527i | \(0.138506\pi\) |
−0.996299 | + | 0.0859566i | \(0.972605\pi\) | |||||||
\(422\) | −4.83418e8 | − | 8.37305e8i | −0.313134 | − | 0.542363i | ||||
\(423\) | −1.49524e9 | − | 5.65819e8i | −0.960552 | − | 0.363485i | ||||
\(424\) | −9.24054e8 | + | 1.60051e9i | −0.588731 | + | 1.01971i | ||||
\(425\) | −2.62833e8 | − | 2.20543e8i | −0.166080 | − | 0.139358i | ||||
\(426\) | −3.61365e8 | + | 6.16829e8i | −0.226471 | + | 0.386573i | ||||
\(427\) | 1.50890e7 | + | 8.55741e7i | 0.00937916 | + | 0.0531918i | ||||
\(428\) | −5.49577e7 | + | 4.61150e7i | −0.0338825 | + | 0.0284308i | ||||
\(429\) | −2.13064e8 | − | 7.90837e7i | −0.130289 | − | 0.0483600i | ||||
\(430\) | 7.96836e8 | − | 2.90025e8i | 0.483314 | − | 0.175912i | ||||
\(431\) | 9.88388e8 | 0.594644 | 0.297322 | − | 0.954777i | \(-0.403907\pi\) | ||||
0.297322 | + | 0.954777i | \(0.403907\pi\) | |||||||
\(432\) | 1.34701e9 | − | 4.61422e8i | 0.803852 | − | 0.275363i | ||||
\(433\) | −2.37029e9 | −1.40312 | −0.701558 | − | 0.712613i | \(-0.747512\pi\) | ||||
−0.701558 | + | 0.712613i | \(0.747512\pi\) | |||||||
\(434\) | 2.22599e9 | − | 8.10192e8i | 1.30710 | − | 0.475745i | ||||
\(435\) | −5.34019e7 | + | 4.42350e7i | −0.0311060 | + | 0.0257664i | ||||
\(436\) | 2.14839e8 | − | 1.80271e8i | 0.124140 | − | 0.104166i | ||||
\(437\) | −1.15287e8 | − | 6.53827e8i | −0.0660841 | − | 0.374781i | ||||
\(438\) | 2.01743e9 | + | 1.28041e7i | 1.14720 | + | 0.00728097i | ||||
\(439\) | 1.31291e9 | + | 1.10166e9i | 0.740643 | + | 0.621473i | 0.933010 | − | 0.359850i | \(-0.117172\pi\) |
−0.192367 | + | 0.981323i | \(0.561616\pi\) | |||||||
\(440\) | −6.00557e8 | + | 1.04019e9i | −0.336101 | + | 0.582144i | ||||
\(441\) | −1.84863e9 | − | 3.29789e9i | −1.02639 | − | 1.83105i | ||||
\(442\) | −3.99535e7 | − | 6.92015e7i | −0.0220078 | − | 0.0381187i | ||||
\(443\) | 1.44113e8 | − | 8.17304e8i | 0.0787571 | − | 0.446654i | −0.919773 | − | 0.392451i | \(-0.871627\pi\) |
0.998530 | − | 0.0542025i | \(-0.0172616\pi\) | |||||||
\(444\) | 4.64056e7 | − | 2.53751e8i | 0.0251611 | − | 0.137584i | ||||
\(445\) | 6.76135e8 | + | 2.46093e8i | 0.363725 | + | 0.132385i | ||||
\(446\) | −2.93005e9 | − | 1.06645e9i | −1.56388 | − | 0.569206i | ||||
\(447\) | 1.39769e8 | − | 7.64272e8i | 0.0740174 | − | 0.404736i | ||||
\(448\) | 6.37134e8 | − | 3.61337e9i | 0.334779 | − | 1.89862i | ||||
\(449\) | 1.45499e9 | + | 2.52012e9i | 0.758575 | + | 1.31389i | 0.943577 | + | 0.331153i | \(0.107437\pi\) |
−0.185002 | + | 0.982738i | \(0.559229\pi\) | |||||||
\(450\) | −5.68622e8 | + | 9.56631e8i | −0.294157 | + | 0.494881i | ||||
\(451\) | 1.91854e9 | − | 3.32301e9i | 0.984813 | − | 1.70575i | ||||
\(452\) | −1.01191e8 | − | 8.49095e7i | −0.0515417 | − | 0.0432486i | ||||
\(453\) | 5.48663e8 | + | 3.48221e6i | 0.277307 | + | 0.00176000i | ||||
\(454\) | 4.96247e8 | + | 2.81436e9i | 0.248887 | + | 1.41151i | ||||
\(455\) | 2.25637e8 | − | 1.89332e8i | 0.112298 | − | 0.0942289i | ||||
\(456\) | −3.16516e9 | + | 2.62183e9i | −1.56322 | + | 1.29488i | ||||
\(457\) | −2.93606e9 | + | 1.06864e9i | −1.43899 | + | 0.523750i | −0.939494 | − | 0.342566i | \(-0.888704\pi\) |
−0.499497 | + | 0.866316i | \(0.666482\pi\) | |||||||
\(458\) | 2.12973e9 | 1.03585 | ||||||||
\(459\) | −3.75216e8 | + | 6.22225e8i | −0.181108 | + | 0.300333i | ||||
\(460\) | 3.38508e7 | 0.0162150 | ||||||||
\(461\) | 1.70814e9 | − | 6.21714e8i | 0.812029 | − | 0.295554i | 0.0975672 | − | 0.995229i | \(-0.468894\pi\) |
0.714462 | + | 0.699675i | \(0.246672\pi\) | |||||||
\(462\) | −3.35966e9 | − | 1.24702e9i | −1.58507 | − | 0.588337i | ||||
\(463\) | −4.11511e6 | + | 3.45298e6i | −0.00192685 | + | 0.00161682i | −0.643751 | − | 0.765235i | \(-0.722623\pi\) |
0.641824 | + | 0.766852i | \(0.278178\pi\) | |||||||
\(464\) | −2.07545e7 | − | 1.17705e8i | −0.00964495 | − | 0.0546992i | ||||
\(465\) | 5.74570e8 | − | 9.80757e8i | 0.265007 | − | 0.452352i | ||||
\(466\) | 3.20553e8 | + | 2.68976e8i | 0.146740 | + | 0.123130i | ||||
\(467\) | 3.75574e8 | − | 6.50514e8i | 0.170642 | − | 0.295561i | −0.768002 | − | 0.640447i | \(-0.778749\pi\) |
0.938645 | + | 0.344886i | \(0.112082\pi\) | |||||||
\(468\) | 3.06955e7 | − | 2.50996e7i | 0.0138425 | − | 0.0113189i | ||||
\(469\) | 4.72262e8 | + | 8.17981e8i | 0.211387 | + | 0.366133i | ||||
\(470\) | 2.31001e8 | − | 1.31007e9i | 0.102629 | − | 0.582040i | ||||
\(471\) | −3.24032e9 | + | 1.15614e9i | −1.42894 | + | 0.509846i | ||||
\(472\) | 2.51172e9 | + | 9.14192e8i | 1.09945 | + | 0.400166i | ||||
\(473\) | −1.99339e9 | − | 7.25536e8i | −0.866122 | − | 0.315242i | ||||
\(474\) | −3.48996e8 | − | 2.96637e8i | −0.150521 | − | 0.127939i | ||||
\(475\) | 4.82479e8 | − | 2.73627e9i | 0.206562 | − | 1.17147i | ||||
\(476\) | 9.63811e7 | + | 1.66937e8i | 0.0409607 | + | 0.0709460i | ||||
\(477\) | −2.49756e9 | + | 8.73299e8i | −1.05366 | + | 0.368425i | ||||
\(478\) | 1.18756e8 | − | 2.05692e8i | 0.0497347 | − | 0.0861431i | ||||
\(479\) | −3.11557e9 | − | 2.61427e9i | −1.29528 | − | 1.08687i | −0.990940 | − | 0.134303i | \(-0.957121\pi\) |
−0.304337 | − | 0.952564i | \(-0.598435\pi\) | |||||||
\(480\) | −1.95110e8 | − | 3.42948e8i | −0.0805258 | − | 0.141542i | ||||
\(481\) | 6.02044e7 | + | 3.41436e8i | 0.0246672 | + | 0.139895i | ||||
\(482\) | −8.69237e8 | + | 7.29377e8i | −0.353569 | + | 0.296679i | ||||
\(483\) | 1.44322e8 | + | 8.50000e8i | 0.0582796 | + | 0.343245i | ||||
\(484\) | 1.97503e7 | − | 7.18853e6i | 0.00791800 | − | 0.00288192i | ||||
\(485\) | 6.81395e7 | 0.0271208 | ||||||||
\(486\) | 2.18794e9 | + | 8.75918e8i | 0.864586 | + | 0.346128i | ||||
\(487\) | 2.35490e9 | 0.923892 | 0.461946 | − | 0.886908i | \(-0.347151\pi\) | ||||
0.461946 | + | 0.886908i | \(0.347151\pi\) | |||||||
\(488\) | −7.80780e7 | + | 2.84181e7i | −0.0304130 | + | 0.0110694i | ||||
\(489\) | −5.29689e7 | − | 3.11967e8i | −0.0204852 | − | 0.120650i | ||||
\(490\) | 2.40987e9 | − | 2.02213e9i | 0.925355 | − | 0.776465i | ||||
\(491\) | −2.39034e8 | − | 1.35563e9i | −0.0911329 | − | 0.516840i | −0.995864 | − | 0.0908570i | \(-0.971039\pi\) |
0.904731 | − | 0.425983i | \(-0.140072\pi\) | |||||||
\(492\) | 3.31039e8 | + | 5.81874e8i | 0.125315 | + | 0.220268i | ||||
\(493\) | 4.67230e7 | + | 3.92052e7i | 0.0175617 | + | 0.0147360i | ||||
\(494\) | 3.23547e8 | − | 5.60401e8i | 0.120752 | − | 0.209148i | ||||
\(495\) | −1.62320e9 | + | 5.67570e8i | −0.601526 | + | 0.210330i | ||||
\(496\) | 9.79584e8 | + | 1.69669e9i | 0.360459 | + | 0.624333i | ||||
\(497\) | −4.02486e8 | + | 2.28261e9i | −0.147063 | + | 0.834036i | ||||
\(498\) | 1.69181e9 | + | 1.43799e9i | 0.613830 | + | 0.521739i | ||||
\(499\) | −1.95770e9 | − | 7.12543e8i | −0.705332 | − | 0.256720i | −0.0356461 | − | 0.999364i | \(-0.511349\pi\) |
−0.669686 | + | 0.742645i | \(0.733571\pi\) | |||||||
\(500\) | 3.48470e8 | + | 1.26833e8i | 0.124672 | + | 0.0453770i | ||||
\(501\) | −1.89836e9 | + | 6.77333e8i | −0.674445 | + | 0.240641i | ||||
\(502\) | −1.66795e8 | + | 9.45944e8i | −0.0588466 | + | 0.333736i | ||||
\(503\) | 2.70727e8 | + | 4.68913e8i | 0.0948513 | + | 0.164287i | 0.909547 | − | 0.415602i | \(-0.136429\pi\) |
−0.814695 | + | 0.579889i | \(0.803096\pi\) | |||||||
\(504\) | 4.13184e9 | − | 3.37859e9i | 1.43759 | − | 1.17551i | ||||
\(505\) | −1.62884e9 | + | 2.82123e9i | −0.562805 | + | 0.974806i | ||||
\(506\) | 4.24029e8 | + | 3.55803e8i | 0.145502 | + | 0.122091i | ||||
\(507\) | 1.45639e9 | − | 2.48597e9i | 0.496306 | − | 0.847165i | ||||
\(508\) | −5.51663e7 | − | 3.12864e8i | −0.0186703 | − | 0.105884i | ||||
\(509\) | 3.29587e9 | − | 2.76556e9i | 1.10779 | − | 0.929546i | 0.109866 | − | 0.993946i | \(-0.464958\pi\) |
0.997924 | + | 0.0644002i | \(0.0205134\pi\) | |||||||
\(510\) | −5.66815e8 | − | 2.10387e8i | −0.189211 | − | 0.0702301i | ||||
\(511\) | 6.14663e9 | − | 2.23719e9i | 2.03781 | − | 0.741702i | ||||
\(512\) | 3.40223e9 | 1.12026 | ||||||||
\(513\) | −5.88303e9 | − | 1.12026e8i | −1.92394 | − | 0.0366360i | ||||
\(514\) | −3.71430e9 | −1.20644 | ||||||||
\(515\) | 7.61690e8 | − | 2.77233e8i | 0.245727 | − | 0.0894373i | ||||
\(516\) | 2.85021e8 | − | 2.36094e8i | 0.0913276 | − | 0.0756505i | ||||
\(517\) | −2.54931e9 | + | 2.13912e9i | −0.811344 | + | 0.680798i | ||||
\(518\) | 9.49324e8 | + | 5.38388e9i | 0.300096 | + | 1.70193i | ||||
\(519\) | 4.46697e9 | + | 2.83506e7i | 1.40258 | + | 0.00890179i | ||||
\(520\) | 2.15756e8 | + | 1.81040e8i | 0.0672900 | + | 0.0564630i | ||||
\(521\) | −1.12397e9 | + | 1.94678e9i | −0.348196 | + | 0.603093i | −0.985929 | − | 0.167164i | \(-0.946539\pi\) |
0.637733 | + | 0.770257i | \(0.279872\pi\) | |||||||
\(522\) | 1.01082e8 | − | 1.70058e8i | 0.0311049 | − | 0.0523298i | ||||
\(523\) | −2.17922e9 | − | 3.77453e9i | −0.666110 | − | 1.15374i | −0.978983 | − | 0.203941i | \(-0.934625\pi\) |
0.312873 | − | 0.949795i | \(-0.398709\pi\) | |||||||
\(524\) | 2.53783e7 | − | 1.43928e8i | 0.00770555 | − | 0.0437004i | ||||
\(525\) | −6.49091e8 | + | 3.54931e9i | −0.195771 | + | 1.07050i | ||||
\(526\) | −5.09591e9 | − | 1.85476e9i | −1.52676 | − | 0.555696i | ||||
\(527\) | −9.39489e8 | − | 3.41946e8i | −0.279611 | − | 0.101770i | ||||
\(528\) | 5.33183e8 | − | 2.91551e9i | 0.157637 | − | 0.861977i | ||||
\(529\) | −5.68117e8 | + | 3.22195e9i | −0.166856 | + | 0.946290i | ||||
\(530\) | −1.10079e9 | − | 1.90663e9i | −0.321173 | − | 0.556289i | ||||
\(531\) | 1.87112e9 | + | 3.33802e9i | 0.542339 | + | 0.967516i | ||||
\(532\) | −7.80504e8 | + | 1.35187e9i | −0.224742 | + | 0.389264i | ||||
\(533\) | −6.89255e8 | − | 5.78353e8i | −0.197167 | − | 0.165443i | ||||
\(534\) | −2.05272e9 | − | 1.30280e7i | −0.583358 | − | 0.00370241i | ||||
\(535\) | −1.26688e8 | − | 7.18483e8i | −0.0357682 | − | 0.202852i | ||||
\(536\) | −6.91860e8 | + | 5.80539e8i | −0.194062 | + | 0.162838i | ||||
\(537\) | 3.72917e9 | − | 3.08903e9i | 1.03921 | − | 0.860819i | ||||
\(538\) | −2.25210e9 | + | 8.19696e8i | −0.623518 | + | 0.226942i | ||||
\(539\) | −7.86981e9 | −2.16473 | ||||||||
\(540\) | 5.77120e7 | − | 2.94408e8i | 0.0157720 | − | 0.0804584i | ||||
\(541\) | 1.75471e9 | 0.476447 | 0.238223 | − | 0.971210i | \(-0.423435\pi\) | ||||
0.238223 | + | 0.971210i | \(0.423435\pi\) | |||||||
\(542\) | 2.51850e9 | − | 9.16658e8i | 0.679429 | − | 0.247292i | ||||
\(543\) | 5.09575e9 | + | 1.89141e9i | 1.36587 | + | 0.506975i | ||||
\(544\) | −2.65855e8 | + | 2.23079e8i | −0.0708025 | + | 0.0594103i | ||||
\(545\) | 4.95245e8 | + | 2.80867e9i | 0.131049 | + | 0.743213i | ||||
\(546\) | −4.24772e8 | + | 7.25061e8i | −0.111682 | + | 0.190634i | ||||
\(547\) | 5.15682e9 | + | 4.32709e9i | 1.34718 | + | 1.13042i | 0.979717 | + | 0.200384i | \(0.0642189\pi\) |
0.367466 | + | 0.930037i | \(0.380226\pi\) | |||||||
\(548\) | −3.08644e8 | + | 5.34586e8i | −0.0801171 | + | 0.138767i | ||||
\(549\) | −1.11255e8 | − | 4.21002e7i | −0.0286956 | − | 0.0108588i | ||||
\(550\) | 1.15827e9 | + | 2.00618e9i | 0.296851 | + | 0.514162i | ||||
\(551\) | −8.57689e7 | + | 4.86420e8i | −0.0218424 | + | 0.123874i | ||||
\(552\) | −7.76464e8 | + | 2.77042e8i | −0.196487 | + | 0.0701065i | ||||
\(553\) | −1.39548e9 | − | 5.07913e8i | −0.350902 | − | 0.127718i | ||||
\(554\) | 3.16021e9 | + | 1.15022e9i | 0.789644 | + | 0.287407i | ||||
\(555\) | 1.99879e9 | + | 1.69892e9i | 0.496298 | + | 0.421840i | ||||
\(556\) | −4.95828e7 | + | 2.81198e8i | −0.0122340 | + | 0.0693826i | ||||
\(557\) | −2.70436e9 | − | 4.68408e9i | −0.663087 | − | 1.14850i | −0.979800 | − | 0.199979i | \(-0.935912\pi\) |
0.316713 | − | 0.948521i | \(-0.397421\pi\) | |||||||
\(558\) | −6.03602e8 | + | 3.18616e9i | −0.147072 | + | 0.776332i | ||||
\(559\) | −2.48715e8 | + | 4.30786e8i | −0.0602226 | + | 0.104309i | ||||
\(560\) | 2.94260e9 | + | 2.46914e9i | 0.708066 | + | 0.594138i | ||||
\(561\) | 7.47916e8 | + | 1.31463e9i | 0.178847 | + | 0.314364i | ||||
\(562\) | 2.67843e8 | + | 1.51901e9i | 0.0636506 | + | 0.360981i | ||||
\(563\) | 7.76378e8 | − | 6.51458e8i | 0.183355 | − | 0.153853i | −0.546490 | − | 0.837466i | \(-0.684036\pi\) |
0.729846 | + | 0.683612i | \(0.239592\pi\) | |||||||
\(564\) | −9.71911e7 | − | 5.72418e8i | −0.0228113 | − | 0.134350i | ||||
\(565\) | 1.26231e9 | − | 4.59442e8i | 0.294439 | − | 0.107167i | ||||
\(566\) | −3.53075e9 | −0.818483 | ||||||||
\(567\) | 7.63869e9 | + | 1.93962e8i | 1.75986 | + | 0.0446864i | ||||
\(568\) | −2.21632e9 | −0.507473 | ||||||||
\(569\) | −7.16557e9 | + | 2.60806e9i | −1.63064 | + | 0.593504i | −0.985367 | − | 0.170447i | \(-0.945479\pi\) |
−0.645273 | + | 0.763952i | \(0.723256\pi\) | |||||||
\(570\) | −8.19582e8 | − | 4.82703e9i | −0.185366 | − | 1.09174i | ||||
\(571\) | 3.21905e9 | − | 2.70110e9i | 0.723605 | − | 0.607176i | −0.204775 | − | 0.978809i | \(-0.565646\pi\) |
0.928380 | + | 0.371633i | \(0.121202\pi\) | |||||||
\(572\) | −1.43324e7 | − | 8.12831e7i | −0.00320209 | − | 0.0181599i | ||||
\(573\) | −3.21576e9 | − | 5.65240e9i | −0.714073 | − | 1.25514i | ||||
\(574\) | −1.08684e10 | − | 9.11967e9i | −2.39869 | − | 2.01274i | ||||
\(575\) | 2.78661e8 | − | 4.82655e8i | 0.0611278 | − | 0.105876i | ||||
\(576\) | 3.80642e9 | + | 3.27719e9i | 0.829923 | + | 0.714534i | ||||
\(577\) | 1.85846e9 | + | 3.21895e9i | 0.402753 | + | 0.697588i | 0.994057 | − | 0.108860i | \(-0.0347202\pi\) |
−0.591304 | + | 0.806448i | \(0.701387\pi\) | |||||||
\(578\) | 6.58423e8 | − | 3.73411e9i | 0.141827 | − | 0.804339i | ||||
\(579\) | −3.61946e9 | − | 3.07644e9i | −0.774941 | − | 0.658679i | ||||
\(580\) | −2.36648e7 | − | 8.61328e6i | −0.00503622 | − | 0.00183304i | ||||
\(581\) | 6.76479e9 | + | 2.46218e9i | 1.43099 | + | 0.520839i | ||||
\(582\) | −1.83092e8 | + | 6.53270e7i | −0.0384980 | + | 0.0137361i | ||||
\(583\) | −9.56377e8 | + | 5.42388e9i | −0.199889 | + | 1.13363i | ||||
\(584\) | 3.12732e9 | + | 5.41668e9i | 0.649722 | + | 1.12535i | ||||
\(585\) | 6.49728e7 | + | 3.97953e8i | 0.0134179 | + | 0.0821838i | ||||
\(586\) | 3.21721e9 | − | 5.57236e9i | 0.660446 | − | 1.14393i | ||||
\(587\) | −3.20709e8 | − | 2.69107e8i | −0.0654452 | − | 0.0549151i | 0.609478 | − | 0.792803i | \(-0.291379\pi\) |
−0.674924 | + | 0.737888i | \(0.735823\pi\) | |||||||
\(588\) | 6.94050e8 | − | 1.18470e9i | 0.140789 | − | 0.240319i | ||||
\(589\) | −1.40592e9 | − | 7.97334e9i | −0.283502 | − | 1.60782i | ||||
\(590\) | −2.43920e9 | + | 2.04673e9i | −0.488951 | + | 0.410279i | ||||
\(591\) | 1.22841e8 | + | 4.55956e7i | 0.0244787 | + | 0.00908587i | ||||
\(592\) | −4.24879e9 | + | 1.54643e9i | −0.841665 | + | 0.306341i | ||||
\(593\) | 7.64763e8 | 0.150604 | 0.0753018 | − | 0.997161i | \(-0.476008\pi\) | ||||
0.0753018 | + | 0.997161i | \(0.476008\pi\) | |||||||
\(594\) | 3.81742e9 | − | 3.08127e9i | 0.747338 | − | 0.603222i | ||||
\(595\) | −1.96025e9 | −0.381507 | ||||||||
\(596\) | 2.65149e8 | − | 9.65063e7i | 0.0513012 | − | 0.0186721i | ||||
\(597\) | 3.57113e9 | − | 2.95811e9i | 0.686903 | − | 0.568990i | ||||
\(598\) | 9.94306e7 | − | 8.34322e7i | 0.0190137 | − | 0.0159544i | ||||
\(599\) | −7.59798e8 | − | 4.30903e9i | −0.144446 | − | 0.819191i | −0.967811 | − | 0.251679i | \(-0.919017\pi\) |
0.823365 | − | 0.567512i | \(-0.192094\pi\) | |||||||
\(600\) | −3.45008e9 | − | 2.18968e7i | −0.652079 | − | 0.00413857i | ||||
\(601\) | −1.71423e9 | − | 1.43841e9i | −0.322113 | − | 0.270285i | 0.467364 | − | 0.884065i | \(-0.345204\pi\) |
−0.789477 | + | 0.613780i | \(0.789648\pi\) | |||||||
\(602\) | −3.92182e9 | + | 6.79279e9i | −0.732655 | + | 1.26900i | ||||
\(603\) | −1.29290e9 | − | 1.64121e7i | −0.240135 | − | 0.00304826i | ||||
\(604\) | 9.96315e7 | + | 1.72567e8i | 0.0183979 | + | 0.0318660i | ||||
\(605\) | −3.71150e7 | + | 2.10489e8i | −0.00681405 | + | 0.0386444i | ||||
\(606\) | 1.67192e9 | − | 9.14227e9i | 0.305184 | − | 1.66878i | ||||
\(607\) | −2.21321e9 | − | 8.05541e8i | −0.401663 | − | 0.146193i | 0.133286 | − | 0.991078i | \(-0.457447\pi\) |
−0.534949 | + | 0.844884i | \(0.679669\pi\) | |||||||
\(608\) | −2.64095e9 | − | 9.61226e8i | −0.476537 | − | 0.173445i | ||||
\(609\) | 1.15387e8 | − | 6.30950e8i | 0.0207013 | − | 0.113197i | ||||
\(610\) | 1.71878e7 | − | 9.74769e7i | 0.00306596 | − | 0.0173879i | ||||
\(611\) | 3.90177e8 | + | 6.75807e8i | 0.0692019 | + | 0.119861i | ||||
\(612\) | −2.63860e8 | − | 3.34944e6i | −0.0465312 | − | 0.000590666i | ||||
\(613\) | −1.08351e9 | + | 1.87669e9i | −0.189985 | + | 0.329064i | −0.945245 | − | 0.326361i | \(-0.894177\pi\) |
0.755260 | + | 0.655426i | \(0.227511\pi\) | |||||||
\(614\) | 4.46239e9 | + | 3.74439e9i | 0.777997 | + | 0.652817i | ||||
\(615\) | −6.80770e9 | − | 4.32066e7i | −1.18015 | − | 0.00749010i | ||||
\(616\) | −1.92925e9 | − | 1.09413e10i | −0.332549 | − | 1.88598i | ||||
\(617\) | 5.60186e9 | − | 4.70052e9i | 0.960140 | − | 0.805653i | −0.0208360 | − | 0.999783i | \(-0.506633\pi\) |
0.980976 | + | 0.194130i | \(0.0621883\pi\) | |||||||
\(618\) | −1.78088e9 | + | 1.47518e9i | −0.303511 | + | 0.251411i | ||||
\(619\) | 6.01479e9 | − | 2.18921e9i | 1.01930 | − | 0.370996i | 0.222305 | − | 0.974977i | \(-0.428642\pi\) |
0.796999 | + | 0.603981i | \(0.206420\pi\) | |||||||
\(620\) | 4.12806e8 | 0.0695625 | ||||||||
\(621\) | −1.10120e9 | − | 4.24715e8i | −0.184520 | − | 0.0711668i | ||||
\(622\) | 5.67760e9 | 0.946015 | ||||||||
\(623\) | −6.25414e9 | + | 2.27632e9i | −1.03624 | + | 0.377160i | ||||
\(624\) | −6.51560e8 | − | 2.41843e8i | −0.107352 | − | 0.0398462i | ||||
\(625\) | 1.47319e6 | − | 1.23615e6i | 0.000241368 | − | 0.000202531i | ||||
\(626\) | −6.72718e8 | − | 3.81517e9i | −0.109603 | − | 0.621590i | ||||
\(627\) | −6.19134e9 | + | 1.05682e10i | −1.00311 | + | 1.71225i | ||||
\(628\) | −9.57139e8 | − | 8.03135e8i | −0.154211 | − | 0.129399i | ||||
\(629\) | 1.15368e9 | − | 1.99823e9i | 0.184844 | − | 0.320160i | ||||
\(630\) | 1.02451e9 | + | 6.27506e9i | 0.163240 | + | 0.999829i | ||||
\(631\) | −1.13589e9 | − | 1.96742e9i | −0.179984 | − | 0.311742i | 0.761891 | − | 0.647706i | \(-0.224271\pi\) |
−0.941875 | + | 0.335964i | \(0.890938\pi\) | |||||||
\(632\) | 2.46581e8 | − | 1.39843e9i | 0.0388553 | − | 0.220359i | ||||
\(633\) | 4.04170e9 | − | 1.44207e9i | 0.633360 | − | 0.225982i | ||||
\(634\) | 5.76485e9 | + | 2.09823e9i | 0.898412 | + | 0.326995i | ||||
\(635\) | 3.03585e9 | + | 1.10496e9i | 0.470513 | + | 0.171253i | ||||
\(636\) | −7.32153e8 | − | 6.22311e8i | −0.112850 | − | 0.0959196i | ||||
\(637\) | −3.20449e8 | + | 1.81736e9i | −0.0491214 | + | 0.278581i | ||||
\(638\) | −2.05902e8 | − | 3.56632e8i | −0.0313897 | − | 0.0543686i | ||||
\(639\) | −2.40457e9 | − | 2.07024e9i | −0.364572 | − | 0.313884i | ||||
\(640\) | −1.54975e9 | + | 2.68425e9i | −0.233686 | + | 0.404755i | ||||
\(641\) | 7.02158e9 | + | 5.89180e9i | 1.05301 | + | 0.883578i | 0.993407 | − | 0.114644i | \(-0.0365728\pi\) |
0.0596008 | + | 0.998222i | \(0.481017\pi\) | |||||||
\(642\) | 1.02924e9 | + | 1.80911e9i | 0.153512 | + | 0.269832i | ||||
\(643\) | 1.05520e9 | + | 5.98431e9i | 0.156529 | + | 0.887720i | 0.957375 | + | 0.288849i | \(0.0932725\pi\) |
−0.800846 | + | 0.598871i | \(0.795616\pi\) | |||||||
\(644\) | −2.39859e8 | + | 2.01266e8i | −0.0353880 | + | 0.0296941i | ||||
\(645\) | 6.30022e8 | + | 3.71059e9i | 0.0924479 | + | 0.544483i | ||||
\(646\) | −4.04678e9 | + | 1.47291e9i | −0.590603 | + | 0.214962i | ||||
\(647\) | −1.57673e9 | −0.228872 | −0.114436 | − | 0.993431i | \(-0.536506\pi\) | ||||
−0.114436 | + | 0.993431i | \(0.536506\pi\) | |||||||
\(648\) | 1.08570e9 | + | 7.22540e9i | 0.156747 | + | 1.04316i | ||||
\(649\) | 7.96557e9 | 1.14383 | ||||||||
\(650\) | 5.10444e8 | − | 1.85787e8i | 0.0729040 | − | 0.0265349i | ||||
\(651\) | 1.75998e9 | + | 1.03656e10i | 0.250020 | + | 1.47253i | ||||
\(652\) | 8.80332e7 | − | 7.38686e7i | 0.0124388 | − | 0.0104374i | ||||
\(653\) | 1.13152e9 | + | 6.41719e9i | 0.159026 | + | 0.901880i | 0.955012 | + | 0.296566i | \(0.0958413\pi\) |
−0.795987 | + | 0.605314i | \(0.793048\pi\) | |||||||
\(654\) | −4.02347e9 | − | 7.07213e9i | −0.562443 | − | 0.988617i | ||||
\(655\) | 1.13851e9 | + | 9.55325e8i | 0.158304 | + | 0.132833i | ||||
\(656\) | 5.86701e9 | − | 1.01620e10i | 0.811435 | − | 1.40545i | ||||
\(657\) | −1.66673e9 | + | 8.79796e9i | −0.229291 | + | 1.21033i | ||||
\(658\) | 6.15245e9 | + | 1.06564e10i | 0.841894 | + | 1.45820i | ||||
\(659\) | −1.22575e9 | + | 6.95158e9i | −0.166841 | + | 0.946204i | 0.780304 | + | 0.625400i | \(0.215064\pi\) |
−0.947146 | + | 0.320804i | \(0.896047\pi\) | |||||||
\(660\) | −4.75838e8 | − | 4.04449e8i | −0.0644251 | − | 0.0547596i | ||||
\(661\) | 1.37375e9 | + | 5.00005e8i | 0.185014 | + | 0.0673394i | 0.432866 | − | 0.901458i | \(-0.357502\pi\) |
−0.247852 | + | 0.968798i | \(0.579725\pi\) | |||||||
\(662\) | 4.82139e8 | + | 1.75484e8i | 0.0645905 | + | 0.0235090i | ||||
\(663\) | 3.34038e8 | − | 1.19184e8i | 0.0445141 | − | 0.0158826i | ||||
\(664\) | −1.19534e9 | + | 6.77909e9i | −0.158454 | + | 0.898634i | ||||
\(665\) | −7.93716e9 | − | 1.37476e10i | −1.04662 | − | 1.81280i | ||||
\(666\) | −6.99957e9 | − | 2.64873e9i | −0.918146 | − | 0.347438i | ||||
\(667\) | −4.95368e7 | + | 8.58002e7i | −0.00646379 | + | 0.0111956i | ||||
\(668\) | −5.60745e8 | − | 4.70521e8i | −0.0727861 | − | 0.0610748i | ||||
\(669\) | 6.99569e9 | − | 1.19412e10i | 0.903315 | − | 1.54190i | ||||
\(670\) | −1.86828e8 | − | 1.05955e9i | −0.0239983 | − | 0.136101i | ||||
\(671\) | −1.89683e8 | + | 1.59163e8i | −0.0242381 | + | 0.0203382i | ||||
\(672\) | 3.42157e9 | + | 1.27000e9i | 0.434943 | + | 0.161440i | ||||
\(673\) | 7.13390e8 | − | 2.59653e8i | 0.0902141 | − | 0.0328353i | −0.296519 | − | 0.955027i | \(-0.595826\pi\) |
0.386733 | + | 0.922192i | \(0.373604\pi\) | |||||||
\(674\) | −4.83949e9 | −0.608821 | ||||||||
\(675\) | −3.72267e9 | − | 3.24645e9i | −0.465898 | − | 0.406299i | ||||
\(676\) | 1.04636e9 | 0.130277 | ||||||||
\(677\) | −3.17391e9 | + | 1.15521e9i | −0.393128 | + | 0.143087i | −0.531018 | − | 0.847361i | \(-0.678190\pi\) |
0.137890 | + | 0.990448i | \(0.455968\pi\) | |||||||
\(678\) | −2.95136e9 | + | 2.44473e9i | −0.363678 | + | 0.301250i | ||||
\(679\) | −4.82822e8 | + | 4.05136e8i | −0.0591893 | + | 0.0496657i | ||||
\(680\) | −3.25487e8 | − | 1.84593e9i | −0.0396965 | − | 0.225130i | ||||
\(681\) | −1.26838e10 | − | 8.05008e7i | −1.53899 | − | 0.00976754i | ||||
\(682\) | 5.17098e9 | + | 4.33897e9i | 0.624206 | + | 0.523771i | ||||
\(683\) | 1.76956e9 | − | 3.06497e9i | 0.212517 | − | 0.368090i | −0.739985 | − | 0.672624i | \(-0.765167\pi\) |
0.952501 | + | 0.304534i | \(0.0985007\pi\) | |||||||
\(684\) | −1.04489e9 | − | 1.86406e9i | −0.124846 | − | 0.222722i | ||||
\(685\) | −3.13868e9 | − | 5.43636e9i | −0.373105 | − | 0.646236i | ||||
\(686\) | −2.64575e9 | + | 1.50048e10i | −0.312907 | + | 1.77458i | ||||
\(687\) | −1.70049e9 | + | 9.29849e9i | −0.200090 | + | 1.09412i | ||||
\(688\) | −6.09591e9 | − | 2.21873e9i | −0.713639 | − | 0.259744i | ||||
\(689\) | 1.21358e9 | + | 4.41707e8i | 0.141352 | + | 0.0514479i | ||||
\(690\) | 1.76672e8 | − | 9.66064e8i | 0.0204737 | − | 0.111953i | ||||
\(691\) | −1.21514e9 | + | 6.89142e9i | −0.140105 | + | 0.794576i | 0.831063 | + | 0.556179i | \(0.187733\pi\) |
−0.971168 | + | 0.238397i | \(0.923378\pi\) | |||||||
\(692\) | 8.11155e8 | + | 1.40496e9i | 0.0930535 | + | 0.161173i | ||||
\(693\) | 8.12707e9 | − | 1.36727e10i | 0.927615 | − | 1.56059i | ||||
\(694\) | 4.08391e9 | − | 7.07353e9i | 0.463786 | − | 0.803301i | ||||
\(695\) | −2.22436e9 | − | 1.86646e9i | −0.251338 | − | 0.210898i | ||||
\(696\) | 6.13312e8 | + | 3.89253e6i | 0.0689523 | + | 0.000437622i | ||||
\(697\) | 1.03980e9 | + | 5.89702e9i | 0.116315 | + | 0.659657i | ||||
\(698\) | 2.90090e8 | − | 2.43414e8i | 0.0322878 | − | 0.0270927i | ||||
\(699\) | −1.43031e9 | + | 1.18478e9i | −0.158401 | + | 0.131210i | ||||
\(700\) | −1.23136e9 | + | 4.48179e8i | −0.135688 | + | 0.0493865i | ||||
\(701\) | 9.45606e9 | 1.03680 | 0.518402 | − | 0.855137i | \(-0.326527\pi\) | ||||
0.518402 | + | 0.855137i | \(0.326527\pi\) | |||||||
\(702\) | −5.56109e8 | − | 1.00701e9i | −0.0606709 | − | 0.109864i | ||||
\(703\) | 1.86852e10 | 2.02840 | ||||||||
\(704\) | 9.82492e9 | − | 3.57598e9i | 1.06127 | − | 0.386270i | ||||
\(705\) | 5.53539e9 | + | 2.05460e9i | 0.594958 | + | 0.220833i | ||||
\(706\) | −5.46099e9 | + | 4.58232e9i | −0.584057 | + | 0.490082i | ||||
\(707\) | −5.23253e9 | − | 2.96751e10i | −0.556857 | − | 3.15809i | ||||
\(708\) | −7.02496e8 | + | 1.19912e9i | −0.0743922 | + | 0.126983i | ||||
\(709\) | −6.18182e9 | − | 5.18716e9i | −0.651410 | − | 0.546598i | 0.256089 | − | 0.966653i | \(-0.417566\pi\) |
−0.907498 | + | 0.420056i | \(0.862011\pi\) | |||||||
\(710\) | 1.32011e9 | − | 2.28650e9i | 0.138422 | − | 0.239754i | ||||
\(711\) | 1.57379e9 | − | 1.28688e9i | 0.164211 | − | 0.134275i | ||||
\(712\) | −3.18202e9 | − | 5.51143e9i | −0.330387 | − | 0.572248i | ||||
\(713\) | 2.82005e8 | − | 1.59933e9i | 0.0291369 | − | 0.165244i | ||||
\(714\) | 5.26722e9 | − | 1.87934e9i | 0.541549 | − | 0.193224i | ||||
\(715\) | 7.88724e8 | + | 2.87072e8i | 0.0806964 | + | 0.0293711i | ||||
\(716\) | 1.65257e9 | + | 6.01485e8i | 0.168253 | + | 0.0612391i | ||||
\(717\) | 8.03239e8 | + | 6.82731e8i | 0.0813819 | + | 0.0691724i | ||||
\(718\) | −8.24006e8 | + | 4.67317e9i | −0.0830796 | + | 0.471168i | ||||
\(719\) | −3.29460e9 | − | 5.70641e9i | −0.330561 | − | 0.572548i | 0.652061 | − | 0.758166i | \(-0.273905\pi\) |
−0.982622 | + | 0.185618i | \(0.940571\pi\) | |||||||
\(720\) | −4.96385e9 | + | 1.73566e9i | −0.495627 | + | 0.173301i | ||||
\(721\) | −3.74884e9 | + | 6.49317e9i | −0.372497 | + | 0.645184i | ||||
\(722\) | −1.95006e10 | − | 1.63629e10i | −1.92827 | − | 1.61801i | ||||
\(723\) | −2.49044e9 | − | 4.37750e9i | −0.245071 | − | 0.430767i | ||||
\(724\) | 3.42782e8 | + | 1.94401e9i | 0.0335686 | + | 0.190377i | ||||
\(725\) | −3.17620e8 | + | 2.66515e8i | −0.0309546 | + | 0.0259740i | ||||
\(726\) | −1.02073e8 | − | 6.01170e8i | −0.00989993 | − | 0.0583068i | ||||
\(727\) | 7.33398e8 | − | 2.66935e8i | 0.0707895 | − | 0.0257653i | −0.306383 | − | 0.951908i | \(-0.599119\pi\) |
0.377172 | + | 0.926143i | \(0.376896\pi\) | |||||||
\(728\) | −2.60521e9 | −0.250255 | ||||||||
\(729\) | −5.57126e9 | + | 8.85325e9i | −0.532608 | + | 0.846362i | ||||
\(730\) | −7.45092e9 | −0.708892 | ||||||||
\(731\) | 3.11080e9 | − | 1.13224e9i | 0.294552 | − | 0.107208i | ||||
\(732\) | −7.23156e6 | − | 4.25912e7i | −0.000681465 | − | 0.00401357i | ||||
\(733\) | 5.44084e8 | − | 4.56541e8i | 0.0510273 | − | 0.0428170i | −0.616917 | − | 0.787028i | \(-0.711619\pi\) |
0.667945 | + | 0.744211i | \(0.267174\pi\) | |||||||
\(734\) | −2.68233e9 | − | 1.52122e10i | −0.250366 | − | 1.41990i | ||||
\(735\) | 6.90451e9 | + | 1.21362e10i | 0.641397 | + | 1.12740i | ||||
\(736\) | −4.31843e8 | − | 3.62359e8i | −0.0399258 | − | 0.0335017i | ||||
\(737\) | −1.34575e9 | + | 2.33091e9i | −0.123831 | + | 0.214482i | ||||
\(738\) | 1.83338e10 | − | 6.41060e9i | 1.67902 | − | 0.587086i | ||||
\(739\) | −7.87867e9 | − | 1.36463e10i | −0.718121 | − | 1.24382i | −0.961744 | − | 0.273951i | \(-0.911669\pi\) |
0.243623 | − | 0.969870i | \(-0.421664\pi\) | |||||||
\(740\) | −1.65434e8 | + | 9.38222e8i | −0.0150077 | + | 0.0851127i | ||||
\(741\) | 2.18839e9 | + | 1.86008e9i | 0.197589 | + | 0.167945i | ||||
\(742\) | 1.91362e10 | + | 6.96499e9i | 1.71965 | + | 0.625903i | ||||
\(743\) | 6.00089e9 | + | 2.18415e9i | 0.536729 | + | 0.195353i | 0.596140 | − | 0.802880i | \(-0.296700\pi\) |
−0.0594115 | + | 0.998234i | \(0.518922\pi\) | |||||||
\(744\) | −9.46888e9 | + | 3.37849e9i | −0.842933 | + | 0.300758i | ||||
\(745\) | −4.98270e8 | + | 2.82583e9i | −0.0441487 | + | 0.250380i | ||||
\(746\) | 5.48798e9 | + | 9.50546e9i | 0.483979 | + | 0.838277i | ||||
\(747\) | −7.62915e9 | + | 6.23833e9i | −0.669660 | + | 0.547578i | ||||
\(748\) | −2.74647e8 | + | 4.75702e8i | −0.0239949 | + | 0.0415604i | ||||
\(749\) | 5.16956e9 | + | 4.33777e9i | 0.449538 | + | 0.377208i | ||||
\(750\) | 5.43838e9 | − | 9.28299e9i | 0.470712 | − | 0.803477i | ||||
\(751\) | 5.92256e8 | + | 3.35885e9i | 0.0510234 | + | 0.289368i | 0.999633 | − | 0.0270798i | \(-0.00862083\pi\) |
−0.948610 | + | 0.316448i | \(0.897510\pi\) | |||||||
\(752\) | −7.79592e9 | + | 6.54155e9i | −0.668505 | + | 0.560943i | ||||
\(753\) | −3.99685e9 | − | 1.48353e9i | −0.341142 | − | 0.126623i | ||||
\(754\) | −9.07403e7 | + | 3.30268e7i | −0.00770904 | + | 0.00280586i | ||||
\(755\) | −2.02636e9 | −0.171357 | ||||||||
\(756\) | 1.34152e9 | + | 2.42925e9i | 0.112920 | + | 0.204477i | ||||
\(757\) | 3.32199e9 | 0.278332 | 0.139166 | − | 0.990269i | \(-0.455558\pi\) | ||||
0.139166 | + | 0.990269i | \(0.455558\pi\) | |||||||
\(758\) | 1.90095e8 | − | 6.91889e7i | 0.0158536 | − | 0.00577024i | ||||
\(759\) | −1.89202e9 | + | 1.56724e9i | −0.157065 | + | 0.130103i | ||||
\(760\) | 1.16279e10 | − | 9.75696e9i | 0.960845 | − | 0.806244i | ||||
\(761\) | 2.72189e9 | + | 1.54366e10i | 0.223884 | + | 1.26971i | 0.864807 | + | 0.502105i | \(0.167441\pi\) |
−0.640922 | + | 0.767606i | \(0.721448\pi\) | |||||||
\(762\) | −9.21670e9 | − | 5.84959e7i | −0.754628 | − | 0.00478942i | ||||
\(763\) | −2.02087e10 | − | 1.69571e10i | −1.64703 | − | 1.38202i | ||||
\(764\) | 1.18088e9 | − | 2.04534e9i | 0.0958029 | − | 0.165935i | ||||
\(765\) | 1.37113e9 | − | 2.30675e9i | 0.110730 | − | 0.186288i | ||||
\(766\) | 9.84036e9 | + | 1.70440e10i | 0.791062 | + | 1.37016i | ||||
\(767\) | 3.24348e8 | − | 1.83947e9i | 0.0259554 | − | 0.147200i | ||||
\(768\) | −8.82414e8 | + | 4.82514e9i | −0.0702924 | + | 0.384367i | ||||
\(769\) | −1.17163e10 | − | 4.26439e9i | −0.929072 | − | 0.338154i | −0.167230 | − | 0.985918i | \(-0.553482\pi\) |
−0.761841 | + | 0.647764i | \(0.775704\pi\) | |||||||
\(770\) | 1.24369e10 | + | 4.52665e9i | 0.981734 | + | 0.357322i | ||||
\(771\) | 2.96570e9 | − | 1.62168e10i | 0.233044 | − | 1.27431i | ||||
\(772\) | 2.99571e8 | − | 1.69895e9i | 0.0234336 | − | 0.132899i | ||||
\(773\) | 8.78186e9 | + | 1.52106e10i | 0.683846 | + | 1.18446i | 0.973798 | + | 0.227415i | \(0.0730274\pi\) |
−0.289952 | + | 0.957041i | \(0.593639\pi\) | |||||||
\(774\) | −5.25031e9 | − | 9.36638e9i | −0.406997 | − | 0.726070i | ||||
\(775\) | 3.39824e9 | − | 5.88592e9i | 0.262239 | − | 0.454212i | ||||
\(776\) | −4.61677e8 | − | 3.87393e8i | −0.0354669 | − | 0.0297602i | ||||
\(777\) | −2.42643e10 | − | 1.53999e8i | −1.85564 | − | 0.0117772i | ||||
\(778\) | 1.28270e9 | + | 7.27454e9i | 0.0976553 | + | 0.553831i | ||||
\(779\) | −3.71465e10 | + | 3.11696e10i | −2.81538 | + | 2.36239i | ||||
\(780\) | −1.12774e8 | + | 9.34153e7i | −0.00850898 | + | 0.00704834i | ||||
\(781\) | −6.20654e9 | + | 2.25900e9i | −0.466198 | + | 0.169682i | ||||
\(782\) | −8.63817e8 | −0.0645949 | ||||||||
\(783\) | 6.61768e8 | + | 5.77113e8i | 0.0492652 | + | 0.0429630i | ||||
\(784\) | −2.40663e10 | −1.78362 | ||||||||
\(785\) | 1.19398e10 | − | 4.34574e9i | 0.880955 | − | 0.320641i | ||||
\(786\) | −3.97508e9 | − | 1.47545e9i | −0.291990 | − | 0.108379i | ||||
\(787\) | 9.64148e9 | − | 8.09016e9i | 0.705070 | − | 0.591624i | −0.218141 | − | 0.975917i | \(-0.569999\pi\) |
0.923211 | + | 0.384294i | \(0.125555\pi\) | |||||||
\(788\) | 8.26332e6 | + | 4.68636e7i | 0.000601607 | + | 0.00341188i | ||||
\(789\) | 1.21668e10 | − | 2.07680e10i | 0.881875 | − | 1.50531i | ||||
\(790\) | 1.29584e9 | + | 1.08734e9i | 0.0935096 | + | 0.0784639i | ||||
\(791\) | −6.21274e9 | + | 1.07608e10i | −0.446340 | + | 0.773083i | ||||
\(792\) | 1.42248e10 | + | 5.38283e9i | 1.01744 | + | 0.385011i | ||||
\(793\) | 2.90314e7 | + | 5.02839e7i | 0.00206734 | + | 0.00358074i | ||||
\(794\) | 9.53649e8 | − | 5.40841e9i | 0.0676109 | − | 0.383441i | ||||
\(795\) | 9.20334e9 | − | 3.28375e9i | 0.649622 | − | 0.231785i | ||||
\(796\) | 1.58253e9 | + | 5.75993e8i | 0.111213 | + | 0.0404782i | ||||
\(797\) | 9.47505e9 | + | 3.44864e9i | 0.662945 | + | 0.241292i | 0.651507 | − | 0.758642i | \(-0.274137\pi\) |
0.0114378 | + | 0.999935i | \(0.496359\pi\) | |||||||
\(798\) | 3.45074e10 | + | 2.93303e10i | 2.40382 | + | 2.04318i | ||||
\(799\) | 9.01816e8 | − | 5.11445e9i | 0.0625467 | − | 0.354720i | ||||
\(800\) | −1.17961e9 | − | 2.04314e9i | −0.0814560 | − | 0.141086i | ||||
\(801\) | 1.69588e9 | − | 8.95185e9i | 0.116596 | − | 0.615459i | ||||
\(802\) | 3.44865e9 | − | 5.97323e9i | 0.236069 | − | 0.408883i | ||||
\(803\) | 1.42787e10 | + | 1.19812e10i | 0.973158 | + | 0.816577i | ||||
\(804\) | −2.32206e8 | − | 4.08153e8i | −0.0157571 | − | 0.0276966i | ||||
\(805\) | −5.52922e8 | − | 3.13577e9i | −0.0373575 | − | 0.211865i | ||||
\(806\) | 1.21254e9 | − | 1.01744e9i | 0.0815689 | − | 0.0684444i | ||||
\(807\) | −1.78063e9 | − | 1.04872e10i | −0.119266 | − | 0.702431i | ||||
\(808\) | 2.70756e10 | − | 9.85473e9i | 1.80567 | − | 0.657211i | ||||
\(809\) | 2.44072e10 | 1.62068 | 0.810342 | − | 0.585957i | \(-0.199281\pi\) | ||||
0.810342 | + | 0.585957i | \(0.199281\pi\) | |||||||
\(810\) | −8.10086e9 | − | 3.18359e9i | −0.535592 | − | 0.210484i | ||||
\(811\) | −2.22295e10 | −1.46338 | −0.731691 | − | 0.681637i | \(-0.761268\pi\) | ||||
−0.731691 | + | 0.681637i | \(0.761268\pi\) | |||||||
\(812\) | 2.18896e8 | − | 7.96715e7i | 0.0143480 | − | 0.00522224i | ||||
\(813\) | 1.99126e9 | + | 1.17278e10i | 0.129960 | + | 0.765418i | ||||
\(814\) | −1.19339e10 | + | 1.00137e10i | −0.775525 | + | 0.650743i | ||||
\(815\) | 2.02933e8 | + | 1.15089e9i | 0.0131311 | + | 0.0744702i | ||||
\(816\) | 2.28717e9 | + | 4.02020e9i | 0.147361 | + | 0.259019i | ||||
\(817\) | 2.05364e10 | + | 1.72321e10i | 1.31749 | + | 1.10550i | ||||
\(818\) | −7.69584e9 | + | 1.33296e10i | −0.491609 | + | 0.851491i | ||||
\(819\) | −2.82648e9 | − | 2.43350e9i | −0.179785 | − | 0.154788i | ||||
\(820\) | −1.23621e9 | − | 2.14118e9i | −0.0782966 | − | 0.135614i | ||||
\(821\) | 2.15455e9 | − | 1.22191e10i | 0.135880 | − | 0.770614i | −0.838363 | − | 0.545113i | \(-0.816487\pi\) |
0.974243 | − | 0.225502i | \(-0.0724021\pi\) | |||||||
\(822\) | 1.36456e10 | + | 1.15984e10i | 0.856925 | + | 0.728363i | ||||
\(823\) | −2.42328e10 | − | 8.82003e9i | −1.51532 | − | 0.551532i | −0.555347 | − | 0.831619i | \(-0.687414\pi\) |
−0.959975 | + | 0.280087i | \(0.909637\pi\) | |||||||
\(824\) | −6.73696e9 | − | 2.45205e9i | −0.419487 | − | 0.152681i | ||||
\(825\) | −9.68387e9 | + | 3.45520e9i | −0.600427 | + | 0.214232i | ||||
\(826\) | 5.11443e9 | − | 2.90054e10i | 0.315767 | − | 1.79081i | ||||
\(827\) | −2.50963e9 | − | 4.34680e9i | −0.154291 | − | 0.267240i | 0.778510 | − | 0.627633i | \(-0.215976\pi\) |
−0.932801 | + | 0.360393i | \(0.882643\pi\) | |||||||
\(828\) | −6.90681e7 | − | 4.23037e8i | −0.00422836 | − | 0.0258983i | ||||
\(829\) | −2.67150e9 | + | 4.62717e9i | −0.162860 | + | 0.282081i | −0.935893 | − | 0.352284i | \(-0.885405\pi\) |
0.773033 | + | 0.634365i | \(0.218738\pi\) | |||||||
\(830\) | −6.28176e9 | − | 5.27102e9i | −0.381336 | − | 0.319979i | ||||
\(831\) | −7.54519e9 | + | 1.28792e10i | −0.456107 | + | 0.778547i | ||||
\(832\) | −4.25733e8 | − | 2.41445e9i | −0.0256275 | − | 0.145341i | ||||
\(833\) | 9.40801e9 | − | 7.89426e9i | 0.563950 | − | 0.473210i | ||||
\(834\) | 7.76630e9 | + | 2.88265e9i | 0.463589 | + | 0.172072i | ||||
\(835\) | 6.99501e9 | − | 2.54597e9i | 0.415801 | − | 0.151339i | ||||
\(836\) | −4.44823e9 | −0.263309 | ||||||||
\(837\) | −1.34289e10 | − | 5.17935e9i | −0.791595 | − | 0.305307i | ||||
\(838\) | −9.97466e8 | −0.0585523 | ||||||||
\(839\) | −1.88201e10 | + | 6.84996e9i | −1.10016 | + | 0.400425i | −0.827375 | − | 0.561650i | \(-0.810167\pi\) |
−0.272784 | + | 0.962075i | \(0.587944\pi\) | |||||||
\(840\) | −1.51802e10 | + | 1.25744e10i | −0.883690 | + | 0.731997i | ||||
\(841\) | −1.31577e10 | + | 1.10406e10i | −0.762771 | + | 0.640041i | ||||
\(842\) | 1.44351e9 | + | 8.18658e9i | 0.0833353 | + | 0.472618i | ||||
\(843\) | −6.84593e9 | − | 4.34493e7i | −0.393583 | − | 0.00249796i | ||||
\(844\) | 1.19385e9 | + | 1.00176e9i | 0.0683522 | + | 0.0573543i | ||||
\(845\) | −5.32036e9 | + | 9.21514e9i | −0.303349 | + | 0.525416i | ||||
\(846\) | −1.68434e10 | − | 2.13810e8i | −0.956389 | − | 0.0121404i | ||||
\(847\) | −9.88514e8 | − | 1.71216e9i | −0.0558973 | − | 0.0968170i | ||||
\(848\) | −2.92465e9 | + | 1.65865e10i | −0.164698 | + | 0.934050i | ||||
\(849\) | 2.81915e9 | − | 1.54154e10i | 0.158103 | − | 0.864526i | ||||
\(850\) | −3.39707e9 | − | 1.23643e9i | −0.189731 | − | 0.0690563i | ||||
\(851\) | 3.52193e9 | + | 1.28188e9i | 0.195897 | + | 0.0713006i | ||||
\(852\) | 2.07300e8 | − | 1.13354e9i | 0.0114831 | − | 0.0627912i | ||||
\(853\) | 1.62760e9 | − | 9.23058e9i | 0.0897896 | − | 0.509222i | −0.906430 | − | 0.422355i | \(-0.861203\pi\) |
0.996220 | − | 0.0868667i | \(-0.0276854\pi\) | |||||||
\(854\) | 4.57777e8 | + | 7.92893e8i | 0.0251508 | + | 0.0435624i | ||||
\(855\) | 2.17294e10 | + | 2.75832e8i | 1.18896 | + | 0.0150926i | ||||
\(856\) | −3.22642e9 | + | 5.58832e9i | −0.175818 | + | 0.304525i | ||||
\(857\) | −1.43749e9 | − | 1.20620e9i | −0.0780138 | − | 0.0654613i | 0.602947 | − | 0.797781i | \(-0.293993\pi\) |
−0.680961 | + | 0.732320i | \(0.738438\pi\) | |||||||
\(858\) | −2.39453e9 | − | 1.51975e7i | −0.129424 | − | 0.000821420i | ||||
\(859\) | 5.34953e8 | + | 3.03387e9i | 0.0287965 | + | 0.163313i | 0.995815 | − | 0.0913937i | \(-0.0291322\pi\) |
−0.967018 | + | 0.254707i | \(0.918021\pi\) | |||||||
\(860\) | −1.04708e9 | + | 8.78607e8i | −0.0561354 | + | 0.0471032i | ||||
\(861\) | 4.84948e10 | − | 4.01702e10i | 2.58931 | − | 2.14483i | ||||
\(862\) | 9.78602e9 | − | 3.56182e9i | 0.520392 | − | 0.189407i | ||||
\(863\) | −1.68428e10 | −0.892022 | −0.446011 | − | 0.895028i | \(-0.647156\pi\) | ||||
−0.446011 | + | 0.895028i | \(0.647156\pi\) | |||||||
\(864\) | −3.88776e9 | + | 3.13805e9i | −0.205070 | + | 0.165524i | ||||
\(865\) | −1.64977e10 | −0.866698 | ||||||||
\(866\) | −2.34682e10 | + | 8.54173e9i | −1.22791 | + | 0.446923i | ||||
\(867\) | 1.57775e10 | + | 5.85622e9i | 0.822190 | + | 0.305176i | ||||
\(868\) | −2.92506e9 | + | 2.45441e9i | −0.151815 | + | 0.127388i | ||||
\(869\) | −7.34837e8 | − | 4.16747e9i | −0.0379859 | − | 0.215428i | ||||
\(870\) | −3.69324e8 | + | 6.30413e8i | −0.0190147 | + | 0.0324570i | ||||
\(871\) | 4.83475e8 | + | 4.05683e8i | 0.0247919 | + | 0.0208029i | ||||
\(872\) | 1.26126e10 | − | 2.18457e10i | 0.644166 | − | 1.11573i | ||||
\(873\) | −1.39030e8 | − | 8.51546e8i | −0.00707226 | − | 0.0433170i | ||||
\(874\) | −3.49764e9 | − | 6.05808e9i | −0.177209 | − | 0.306934i | ||||
\(875\) | 6.05723e9 | − | 3.43523e10i | 0.305665 | − | 1.73351i | ||||
\(876\) | −3.06288e9 | + | 1.09283e9i | −0.153945 | + | 0.0549275i | ||||
\(877\) | 1.35757e10 | + | 4.94115e9i | 0.679615 | + | 0.247360i | 0.658682 | − | 0.752421i | \(-0.271114\pi\) |
0.0209330 | + | 0.999781i | \(0.493336\pi\) | |||||||
\(878\) | 1.69691e10 | + | 6.17626e9i | 0.846114 | + | 0.307960i | ||||
\(879\) | 2.17604e10 | + | 1.84957e10i | 1.08070 | + | 0.918566i | ||||
\(880\) | −1.90078e9 | + | 1.07798e10i | −0.0940246 | + | 0.533240i | ||||
\(881\) | 1.23479e10 | + | 2.13872e10i | 0.608385 | + | 1.05375i | 0.991507 | + | 0.130056i | \(0.0415157\pi\) |
−0.383122 | + | 0.923698i | \(0.625151\pi\) | |||||||
\(882\) | −3.01877e10 | − | 2.59905e10i | −1.48146 | − | 1.27549i | ||||
\(883\) | −4.18341e9 | + | 7.24588e9i | −0.204488 | + | 0.354184i | −0.949970 | − | 0.312343i | \(-0.898886\pi\) |
0.745481 | + | 0.666526i | \(0.232220\pi\) | |||||||
\(884\) | 9.86694e7 | + | 8.27935e7i | 0.00480396 | + | 0.00403100i | ||||
\(885\) | −6.98852e9 | − | 1.22839e10i | −0.338910 | − | 0.595708i | ||||
\(886\) | −1.51843e9 | − | 8.61146e9i | −0.0733462 | − | 0.415967i | ||||
\(887\) | −1.15487e10 | + | 9.69055e9i | −0.555651 | + | 0.466247i | −0.876849 | − | 0.480765i | \(-0.840359\pi\) |
0.321198 | + | 0.947012i | \(0.395914\pi\) | |||||||
\(888\) | −3.88390e9 | − | 2.28747e10i | −0.186133 | − | 1.09625i | ||||
\(889\) | −2.80811e10 | + | 1.02207e10i | −1.34047 | + | 0.487892i | ||||
\(890\) | 7.58125e9 | 0.360476 | ||||||||
\(891\) | 1.04049e10 | + | 1.91273e10i | 0.492795 | + | 0.905901i | ||||
\(892\) | 5.02613e9 | 0.237114 | ||||||||
\(893\) | 3.95200e10 | − | 1.43841e10i | 1.85710 | − | 0.675931i | ||||
\(894\) | −1.37033e9 | − | 8.07073e9i | −0.0641423 | − | 0.377774i | ||||
\(895\) | −1.36999e10 | + | 1.14956e10i | −0.638758 | + | 0.535982i | ||||
\(896\) | −4.97847e9 | − | 2.82343e10i | −0.231216 | − | 1.31129i | ||||
\(897\) | 2.84877e8 | + | 5.00735e8i | 0.0131791 | + | 0.0231651i | ||||
\(898\) | 2.34876e10 | + | 1.97084e10i | 1.08236 | + | 0.908206i | ||||
\(899\) | −6.04095e8 | + | 1.04632e9i | −0.0277298 | + | 0.0480294i | ||||
\(900\) | 3.33898e8 | − | 1.76250e9i | 0.0152674 | − | 0.0805901i | ||||
\(901\) | −4.29743e9 | − | 7.44336e9i | −0.195736 | − | 0.339025i | ||||
\(902\) | 7.02045e9 | − | 3.98149e10i | 0.318524 | − | 1.80644i | ||||
\(903\) | −2.65262e10 | − | 2.25465e10i | −1.19886 | − | 1.01900i | ||||
\(904\) | −1.11648e10 | − | 4.06365e9i | −0.502645 | − | 0.182948i | ||||
\(905\) | −1.88636e10 | − | 6.86578e9i | −0.845968 | − | 0.307907i | ||||
\(906\) | 5.44485e9 | − | 1.94272e9i | 0.243241 | − | 0.0867884i | ||||
\(907\) | 6.99996e9 | − | 3.96988e10i | 0.311509 | − | 1.76665i | −0.279654 | − | 0.960101i | \(-0.590220\pi\) |
0.591162 | − | 0.806553i | \(-0.298669\pi\) | |||||||
\(908\) | −2.30325e9 | − | 3.98935e9i | −0.102104 | − | 0.176849i | ||||
\(909\) | 3.85806e10 | + | 1.45994e10i | 1.70371 | + | 0.644704i | ||||
\(910\) | 1.55174e9 | − | 2.68770e9i | 0.0682613 | − | 0.118232i | ||||
\(911\) | −2.19986e10 | − | 1.84590e10i | −0.964008 | − | 0.808898i | 0.0175928 | − | 0.999845i | \(-0.494400\pi\) |
−0.981600 | + | 0.190947i | \(0.938844\pi\) | |||||||
\(912\) | −1.89335e10 | + | 3.23183e10i | −0.826510 | + | 1.41080i | ||||
\(913\) | 3.56223e9 | + | 2.02024e10i | 0.154908 | + | 0.878527i | ||||
\(914\) | −2.52189e10 | + | 2.11612e10i | −1.09248 | + | 0.916701i | ||||
\(915\) | 4.11864e8 | + | 1.52874e8i | 0.0177738 | + | 0.00659718i | ||||
\(916\) | −3.22592e9 | + | 1.17414e9i | −0.138682 | + | 0.0504761i | ||||
\(917\) | −1.37473e10 | −0.588742 | ||||||||
\(918\) | −1.47272e9 | + | 7.51280e9i | −0.0628303 | + | 0.320518i | ||||
\(919\) | 1.49586e10 | 0.635751 | 0.317876 | − | 0.948132i | \(-0.397031\pi\) | ||||
0.317876 | + | 0.948132i | \(0.397031\pi\) | |||||||
\(920\) | 2.86108e9 | − | 1.04135e9i | 0.121136 | − | 0.0440899i | ||||
\(921\) | −1.99112e10 | + | 1.64932e10i | −0.839823 | + | 0.695660i | ||||
\(922\) | 1.46719e10 | − | 1.23112e10i | 0.616492 | − | 0.517298i | ||||
\(923\) | 2.68942e8 | + | 1.52524e9i | 0.0112578 | + | 0.0638459i | ||||
\(924\) | 5.77641e9 | + | 3.66613e7i | 0.240883 | + | 0.00152882i | ||||
\(925\) | 1.20156e10 | + | 1.00823e10i | 0.499171 | + | 0.418854i | ||||
\(926\) | −2.83002e7 | + | 4.90174e7i | −0.00117126 | + | 0.00202867i | ||||
\(927\) | −5.01873e9 | − | 8.95325e9i | −0.206926 | − | 0.369149i | ||||
\(928\) | 2.09696e8 | + | 3.63204e8i | 0.00861335 | + | 0.0149188i | ||||
\(929\) | 4.38191e9 | − | 2.48511e10i | 0.179312 | − | 1.01693i | −0.753737 | − | 0.657176i | \(-0.771751\pi\) |
0.933048 | − | 0.359751i | \(-0.117138\pi\) | |||||||
\(930\) | 2.15450e9 | − | 1.17810e10i | 0.0878325 | − | 0.480278i | ||||
\(931\) | 9.34572e10 | + | 3.40156e10i | 3.79567 | + | 1.38151i | ||||
\(932\) | −6.33834e8 | − | 2.30697e8i | −0.0256460 | − | 0.00933438i | ||||
\(933\) | −4.53330e9 | + | 2.47886e10i | −0.182738 | + | 0.999232i | ||||
\(934\) | 1.37432e9 | − | 7.79418e9i | 0.0551919 | − | 0.313009i | ||||
\(935\) | −2.79296e9 | − | 4.83755e9i | −0.111744 | − | 0.193546i | ||||
\(936\) | 1.82226e9 | − | 3.06571e9i | 0.0726347 | − | 0.122198i | ||||
\(937\) | −1.86302e10 | + | 3.22684e10i | −0.739824 | + | 1.28141i | 0.212750 | + | 0.977107i | \(0.431758\pi\) |
−0.952574 | + | 0.304306i | \(0.901575\pi\) | |||||||
\(938\) | 7.62359e9 | + | 6.39695e9i | 0.301613 | + | 0.253083i | ||||
\(939\) | 1.71943e10 | + | 1.09128e8i | 0.677728 | + | 0.00430136i | ||||
\(940\) | 3.72356e8 | + | 2.11174e9i | 0.0146221 | + | 0.0829262i | ||||
\(941\) | −1.53152e10 | + | 1.28509e10i | −0.599181 | + | 0.502772i | −0.891182 | − | 0.453646i | \(-0.850123\pi\) |
0.292001 | + | 0.956418i | \(0.405679\pi\) | |||||||
\(942\) | −2.79160e10 | + | 2.31240e10i | −1.08812 | + | 0.901333i | ||||
\(943\) | −9.14004e9 | + | 3.32670e9i | −0.354942 | + | 0.129188i | ||||
\(944\) | 2.43592e10 | 0.942455 | ||||||||
\(945\) | −2.82152e10 | − | 5.37280e8i | −1.08761 | − | 0.0207105i | ||||
\(946\) | −2.23512e10 | −0.858383 | ||||||||
\(947\) | −2.15715e10 | + | 7.85138e9i | −0.825383 | + | 0.300415i | −0.719962 | − | 0.694013i | \(-0.755841\pi\) |
−0.105420 | + | 0.994428i | \(0.533619\pi\) | |||||||
\(948\) | 6.92167e8 | + | 2.56915e8i | 0.0263865 | + | 0.00979399i | ||||
\(949\) | 3.34820e9 | − | 2.80948e9i | 0.127169 | − | 0.106707i | ||||
\(950\) | −5.08360e9 | − | 2.88305e10i | −0.192371 | − | 1.09099i | ||||
\(951\) | −1.37639e10 | + | 2.34942e10i | −0.518933 | + | 0.885787i | ||||
\(952\) | 1.32816e10 | + | 1.11446e10i | 0.498910 | + | 0.418635i | ||||
\(953\) | −9.62652e9 | + | 1.66736e10i | −0.360283 | + | 0.624029i | −0.988007 | − | 0.154407i | \(-0.950653\pi\) |
0.627724 | + | 0.778436i | \(0.283987\pi\) | |||||||
\(954\) | −2.15813e10 | + | 1.76469e10i | −0.804744 | + | 0.658036i | ||||
\(955\) | 1.20087e10 | + | 2.07997e10i | 0.446153 | + | 0.772760i | ||||
\(956\) | −6.64816e7 | + | 3.77036e8i | −0.00246093 | + | 0.0139566i | ||||
\(957\) | 1.72147e9 | − | 6.14221e8i | 0.0634905 | − | 0.0226534i | ||||
\(958\) | −4.02682e10 | − | 1.46564e10i | −1.47973 | − | 0.538578i | ||||
\(959\) | 5.45629e10 | + | 1.98593e10i | 1.99771 | + | 0.727107i | ||||
\(960\) | −1.41344e10 | − | 1.20138e10i | −0.515618 | − | 0.438261i | ||||
\(961\) | −1.33850e9 | + | 7.59099e9i | −0.0486503 | + | 0.275909i | ||||
\(962\) | 1.82651e9 | + | 3.16360e9i | 0.0661467 | + | 0.114570i | ||||
\(963\) | −8.72046e9 | + | 3.04920e9i | −0.314664 | + | 0.110026i | ||||
\(964\) | 9.14530e8 | − | 1.58401e9i | 0.0328798 | − | 0.0569494i | ||||
\(965\) | 1.34392e10 | + | 1.12769e10i | 0.481425 | + | 0.403964i | ||||
\(966\) | 4.49205e9 | + | 7.89576e9i | 0.160333 | + | 0.281821i | ||||
\(967\) | −2.57980e9 | − | 1.46307e10i | −0.0917472 | − | 0.520324i | −0.995696 | − | 0.0926828i | \(-0.970456\pi\) |
0.903949 | − | 0.427641i | \(-0.140655\pi\) | |||||||
\(968\) | 1.44817e9 | − | 1.21516e9i | 0.0513162 | − | 0.0430594i | ||||
\(969\) | −3.19960e9 | − | 1.88444e10i | −0.112970 | − | 0.665350i | ||||
\(970\) | 6.74649e8 | − | 2.45552e8i | 0.0237343 | − | 0.00863859i | ||||
\(971\) | 4.16020e10 | 1.45830 | 0.729149 | − | 0.684354i | \(-0.239916\pi\) | ||||
0.729149 | + | 0.684354i | \(0.239916\pi\) | |||||||
\(972\) | −3.79700e9 | − | 1.20531e8i | −0.132620 | − | 0.00420987i | ||||
\(973\) | 2.68587e10 | 0.934739 | ||||||||
\(974\) | 2.33159e10 | − | 8.48628e9i | 0.808528 | − | 0.294280i | ||||
\(975\) | 4.03585e8 | + | 2.37696e9i | 0.0139450 | + | 0.0821308i | ||||
\(976\) | −5.80061e8 | + | 4.86729e8i | −0.0199710 | + | 0.0167576i | ||||
\(977\) | 1.65189e7 | + | 9.36832e7i | 0.000566695 | + | 0.00321389i | 0.985090 | − | 0.172041i | \(-0.0550362\pi\) |
−0.984523 | + | 0.175255i | \(0.943925\pi\) | |||||||
\(978\) | −1.64867e9 | − | 2.89790e9i | −0.0563570 | − | 0.0990598i | ||||
\(979\) | −1.45284e10 | − | 1.21908e10i | −0.494856 | − | 0.415234i | ||||
\(980\) | −2.53545e9 | + | 4.39152e9i | −0.0860524 | + | 0.149047i | ||||
\(981\) | 3.40898e10 | − | 1.19199e10i | 1.15288 | − | 0.403115i | ||||
\(982\) | −7.25192e9 | − | 1.25607e10i | −0.244378 | − | 0.423276i | ||||
\(983\) | −7.46681e9 | + | 4.23464e10i | −0.250725 | + | 1.42193i | 0.556087 | + | 0.831124i | \(0.312302\pi\) |
−0.806812 | + | 0.590808i | \(0.798809\pi\) | |||||||
\(984\) | 4.58797e10 | + | 3.89965e10i | 1.53510 | + | 1.30480i | ||||
\(985\) | −4.54737e8 | − | 1.65511e8i | −0.0151612 | − | 0.00551823i | ||||
\(986\) | 6.03887e8 | + | 2.19797e8i | 0.0200626 | + | 0.00730217i | ||||
\(987\) | −5.14385e10 | + | 1.83532e10i | −1.70286 | + | 0.607579i | ||||
\(988\) | −1.81127e8 | + | 1.02722e9i | −0.00597493 | + | 0.0338855i | ||||
\(989\) | 2.68867e9 | + | 4.65692e9i | 0.0883794 | + | 0.153078i | ||||
\(990\) | −1.40260e10 | + | 1.14690e10i | −0.459420 | + | 0.375666i | ||||
\(991\) | 1.25764e10 | − | 2.17829e10i | 0.410485 | − | 0.710980i | −0.584458 | − | 0.811424i | \(-0.698693\pi\) |
0.994943 | + | 0.100444i | \(0.0320262\pi\) | |||||||
\(992\) | −5.26627e9 | − | 4.41892e9i | −0.171282 | − | 0.143723i | ||||
\(993\) | −1.15114e9 | + | 1.96492e9i | −0.0373082 | + | 0.0636829i | ||||
\(994\) | 4.24076e9 | + | 2.40506e10i | 0.136959 | + | 0.776735i | ||||
\(995\) | −1.31193e10 | + | 1.10084e10i | −0.422211 | + | 0.354277i | ||||
\(996\) | −3.35537e9 | − | 1.24543e9i | −0.107605 | − | 0.0399403i | ||||
\(997\) | −1.17793e10 | + | 4.28732e9i | −0.376433 | + | 0.137010i | −0.523306 | − | 0.852145i | \(-0.675301\pi\) |
0.146873 | + | 0.989155i | \(0.453079\pi\) | |||||||
\(998\) | −2.19509e10 | −0.699030 | ||||||||
\(999\) | 1.71533e10 | − | 2.84455e10i | 0.544337 | − | 0.902682i |
(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 | 27.8.e.a.7.15 | yes | 120 | |
3.2 | odd | 2 | 81.8.e.a.19.6 | 120 | |||
27.4 | even | 9 | inner | 27.8.e.a.4.15 | ✓ | 120 | |
27.23 | odd | 18 | 81.8.e.a.64.6 | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.8.e.a.4.15 | ✓ | 120 | 27.4 | even | 9 | inner | |
27.8.e.a.7.15 | yes | 120 | 1.1 | even | 1 | trivial | |
81.8.e.a.19.6 | 120 | 3.2 | odd | 2 | |||
81.8.e.a.64.6 | 120 | 27.23 | odd | 18 |