Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,7,Mod(3,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.f (of order \(18\), 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: | \(8.74205517755\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 3.6 | ||
Character | \(\chi\) | \(=\) | 38.3 |
Dual form | 38.7.f.a.13.6 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.63616 | − | 4.33340i | 0.454519 | − | 0.541675i | ||||
\(3\) | −14.7348 | − | 40.4836i | −0.545734 | − | 1.49939i | −0.839416 | − | 0.543489i | \(-0.817103\pi\) |
0.293682 | − | 0.955903i | \(-0.405119\pi\) | |||||||
\(4\) | −5.55674 | − | 31.5138i | −0.0868241 | − | 0.492404i | ||||
\(5\) | 40.1148 | − | 227.502i | 0.320918 | − | 1.82002i | −0.216013 | − | 0.976391i | \(-0.569305\pi\) |
0.536931 | − | 0.843626i | \(-0.319584\pi\) | |||||||
\(6\) | −229.010 | − | 83.3528i | −1.06023 | − | 0.385892i | ||||
\(7\) | 276.187 | + | 478.370i | 0.805211 | + | 1.39467i | 0.916149 | + | 0.400839i | \(0.131281\pi\) |
−0.110938 | + | 0.993827i | \(0.535385\pi\) | |||||||
\(8\) | −156.767 | − | 90.5097i | −0.306186 | − | 0.176777i | ||||
\(9\) | −863.360 | + | 724.445i | −1.18431 | + | 0.993752i | ||||
\(10\) | −839.995 | − | 1001.07i | −0.839995 | − | 1.00107i | ||||
\(11\) | 155.096 | − | 268.634i | 0.116526 | − | 0.201828i | −0.801863 | − | 0.597508i | \(-0.796158\pi\) |
0.918389 | + | 0.395680i | \(0.129491\pi\) | |||||||
\(12\) | −1193.92 | + | 689.308i | −0.690924 | + | 0.398905i | ||||
\(13\) | 246.987 | − | 678.591i | 0.112420 | − | 0.308872i | −0.870705 | − | 0.491805i | \(-0.836337\pi\) |
0.983125 | + | 0.182934i | \(0.0585593\pi\) | |||||||
\(14\) | 3077.23 | + | 542.599i | 1.12144 | + | 0.197740i | ||||
\(15\) | −9801.19 | + | 1728.21i | −2.90406 | + | 0.512063i | ||||
\(16\) | −962.245 | + | 350.229i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 3905.10 | + | 3276.77i | 0.794850 | + | 0.666959i | 0.946941 | − | 0.321408i | \(-0.104156\pi\) |
−0.152090 | + | 0.988367i | \(0.548600\pi\) | |||||||
\(18\) | 6375.48i | 1.09319i | ||||||||
\(19\) | 534.951 | − | 6838.11i | 0.0779926 | − | 0.996954i | ||||
\(20\) | −7392.37 | −0.924047 | ||||||||
\(21\) | 15296.6 | − | 18229.8i | 1.65172 | − | 1.96844i | ||||
\(22\) | −600.145 | − | 1648.89i | −0.0563623 | − | 0.154854i | ||||
\(23\) | 1878.32 | + | 10652.5i | 0.154378 | + | 0.875521i | 0.959352 | + | 0.282212i | \(0.0910680\pi\) |
−0.804974 | + | 0.593310i | \(0.797821\pi\) | |||||||
\(24\) | −1354.22 | + | 7680.15i | −0.0979614 | + | 0.555566i | ||||
\(25\) | −35465.3 | − | 12908.3i | −2.26978 | − | 0.826133i | ||||
\(26\) | −2042.53 | − | 3537.76i | −0.116211 | − | 0.201283i | ||||
\(27\) | 14850.7 | + | 8574.07i | 0.754495 | + | 0.435608i | ||||
\(28\) | 13540.6 | − | 11361.9i | 0.616827 | − | 0.517580i | ||||
\(29\) | 7573.09 | + | 9025.25i | 0.310512 | + | 0.370054i | 0.898620 | − | 0.438729i | \(-0.144571\pi\) |
−0.588107 | + | 0.808783i | \(0.700127\pi\) | |||||||
\(30\) | −28149.6 | + | 48756.5i | −1.04258 | + | 1.80580i | ||||
\(31\) | 12291.6 | − | 7096.59i | 0.412596 | − | 0.238212i | −0.279309 | − | 0.960201i | \(-0.590105\pi\) |
0.691905 | + | 0.721989i | \(0.256772\pi\) | |||||||
\(32\) | −1981.19 | + | 5443.28i | −0.0604612 | + | 0.166116i | ||||
\(33\) | −13160.6 | − | 2320.56i | −0.366212 | − | 0.0645731i | ||||
\(34\) | 28399.1 | − | 5007.53i | 0.722550 | − | 0.127405i | ||||
\(35\) | 119909. | − | 43643.5i | 2.79672 | − | 1.01792i | ||||
\(36\) | 27627.5 | + | 23182.3i | 0.592154 | + | 0.496876i | ||||
\(37\) | − | 48685.2i | − | 0.961152i | −0.876953 | − | 0.480576i | \(-0.840428\pi\) | ||
0.876953 | − | 0.480576i | \(-0.159572\pi\) | |||||||
\(38\) | −27687.1 | − | 27182.6i | −0.504576 | − | 0.495382i | ||||
\(39\) | −31111.1 | −0.524472 | ||||||||
\(40\) | −26879.8 | + | 32034.1i | −0.419997 | + | 0.500533i | ||||
\(41\) | −7628.56 | − | 20959.3i | −0.110686 | − | 0.304106i | 0.871966 | − | 0.489566i | \(-0.162845\pi\) |
−0.982652 | + | 0.185460i | \(0.940623\pi\) | |||||||
\(42\) | −23376.1 | − | 132573.i | −0.315518 | − | 1.78939i | ||||
\(43\) | −4660.89 | + | 26433.2i | −0.0586223 | + | 0.332464i | −0.999988 | − | 0.00492458i | \(-0.998432\pi\) |
0.941366 | + | 0.337388i | \(0.109544\pi\) | |||||||
\(44\) | −9327.51 | − | 3394.93i | −0.109498 | − | 0.0398541i | ||||
\(45\) | 130179. | + | 225477.i | 1.42858 | + | 2.47437i | ||||
\(46\) | 52991.3 | + | 30594.5i | 0.544416 | + | 0.314319i | ||||
\(47\) | 124966. | − | 104859.i | 1.20364 | − | 1.00998i | 0.204124 | − | 0.978945i | \(-0.434565\pi\) |
0.999518 | − | 0.0310308i | \(-0.00987899\pi\) | |||||||
\(48\) | 28357.0 | + | 33794.6i | 0.256411 | + | 0.305579i | ||||
\(49\) | −93734.4 | + | 162353.i | −0.796729 | + | 1.37998i | ||||
\(50\) | −184894. | + | 106749.i | −1.47915 | + | 0.853991i | ||||
\(51\) | 75114.4 | − | 206375.i | 0.566256 | − | 1.55578i | ||||
\(52\) | −22757.5 | − | 4012.76i | −0.161850 | − | 0.0285386i | ||||
\(53\) | −257781. | + | 45453.7i | −1.73150 | + | 0.305310i | −0.948516 | − | 0.316730i | \(-0.897415\pi\) |
−0.782985 | + | 0.622040i | \(0.786304\pi\) | |||||||
\(54\) | 91154.4 | − | 33177.5i | 0.578890 | − | 0.210699i | ||||
\(55\) | −54893.1 | − | 46060.8i | −0.329936 | − | 0.276849i | ||||
\(56\) | − | 99990.5i | − | 0.569370i | ||||||
\(57\) | −284714. | + | 79101.6i | −1.53739 | + | 0.427130i | ||||
\(58\) | 66647.0 | 0.341583 | ||||||||
\(59\) | −58853.6 | + | 70138.9i | −0.286561 | + | 0.341510i | −0.890051 | − | 0.455860i | \(-0.849332\pi\) |
0.603491 | + | 0.797370i | \(0.293776\pi\) | |||||||
\(60\) | 108925. | + | 299270.i | 0.504284 | + | 1.38551i | ||||
\(61\) | −35660.8 | − | 202243.i | −0.157109 | − | 0.891012i | −0.956832 | − | 0.290642i | \(-0.906131\pi\) |
0.799723 | − | 0.600370i | \(-0.204980\pi\) | |||||||
\(62\) | 13942.0 | − | 79068.9i | 0.0584992 | − | 0.331765i | ||||
\(63\) | −585003. | − | 212924.i | −2.33957 | − | 0.851534i | ||||
\(64\) | 16384.0 | + | 28377.9i | 0.0625000 | + | 0.108253i | ||||
\(65\) | −144473. | − | 83411.6i | −0.526074 | − | 0.303729i | ||||
\(66\) | −57909.8 | + | 48592.1i | −0.201428 | + | 0.169018i | ||||
\(67\) | 76179.6 | + | 90787.3i | 0.253288 | + | 0.301857i | 0.877673 | − | 0.479260i | \(-0.159095\pi\) |
−0.624385 | + | 0.781117i | \(0.714650\pi\) | |||||||
\(68\) | 81563.9 | − | 141273.i | 0.259401 | − | 0.449296i | ||||
\(69\) | 403574. | − | 233003.i | 1.22850 | − | 0.709275i | ||||
\(70\) | 246885. | − | 678310.i | 0.719781 | − | 1.97758i | ||||
\(71\) | 555066. | + | 97873.1i | 1.55085 | + | 0.273456i | 0.882471 | − | 0.470366i | \(-0.155878\pi\) |
0.668377 | + | 0.743822i | \(0.266989\pi\) | |||||||
\(72\) | 200916. | − | 35426.9i | 0.538291 | − | 0.0949152i | ||||
\(73\) | −241308. | + | 87828.8i | −0.620301 | + | 0.225771i | −0.633005 | − | 0.774148i | \(-0.718179\pi\) |
0.0127032 | + | 0.999919i | \(0.495956\pi\) | |||||||
\(74\) | −210973. | − | 177027.i | −0.520632 | − | 0.436862i | ||||
\(75\) | 1.62597e6i | 3.85414i | ||||||||
\(76\) | −218468. | + | 21139.2i | −0.497676 | + | 0.0481558i | ||||
\(77\) | 171342. | 0.375311 | ||||||||
\(78\) | −113125. | + | 134817.i | −0.238383 | + | 0.284093i | ||||
\(79\) | −92287.5 | − | 253558.i | −0.187181 | − | 0.514275i | 0.810236 | − | 0.586104i | \(-0.199339\pi\) |
−0.997417 | + | 0.0718283i | \(0.977117\pi\) | |||||||
\(80\) | 41077.5 | + | 232962.i | 0.0802295 | + | 0.455004i | ||||
\(81\) | −14384.8 | + | 81580.0i | −0.0270674 | + | 0.153507i | ||||
\(82\) | −118564. | − | 43153.7i | −0.215036 | − | 0.0782665i | ||||
\(83\) | 425729. | + | 737384.i | 0.744559 | + | 1.28961i | 0.950401 | + | 0.311028i | \(0.100673\pi\) |
−0.205842 | + | 0.978585i | \(0.565993\pi\) | |||||||
\(84\) | −659489. | − | 380756.i | −1.11268 | − | 0.642405i | ||||
\(85\) | 902124. | − | 756972.i | 1.46896 | − | 1.23260i | ||||
\(86\) | 97598.0 | + | 116313.i | 0.153442 | + | 0.182866i | ||||
\(87\) | 253787. | − | 439571.i | 0.385399 | − | 0.667531i | ||||
\(88\) | −48627.9 | + | 28075.3i | −0.0713571 | + | 0.0411980i | ||||
\(89\) | −169167. | + | 464783.i | −0.239964 | + | 0.659296i | 0.759992 | + | 0.649932i | \(0.225203\pi\) |
−0.999956 | + | 0.00936340i | \(0.997019\pi\) | |||||||
\(90\) | 1.45044e6 | + | 255751.i | 1.98962 | + | 0.350824i | ||||
\(91\) | 392833. | − | 69267.0i | 0.521295 | − | 0.0919184i | ||||
\(92\) | 325263. | − | 118386.i | 0.417706 | − | 0.152033i | ||||
\(93\) | −468411. | − | 393043.i | −0.582342 | − | 0.488643i | ||||
\(94\) | − | 922809.i | − | 1.11104i | ||||||
\(95\) | −1.53422e6 | − | 396012.i | −1.78944 | − | 0.461888i | ||||
\(96\) | 249556. | 0.282068 | ||||||||
\(97\) | 152828. | − | 182133.i | 0.167451 | − | 0.199560i | −0.675793 | − | 0.737092i | \(-0.736199\pi\) |
0.843244 | + | 0.537531i | \(0.180643\pi\) | |||||||
\(98\) | 362707. | + | 996528.i | 0.385369 | + | 1.05879i | ||||
\(99\) | 60706.9 | + | 344286.i | 0.0625652 | + | 0.354825i | ||||
\(100\) | −209719. | + | 1.18938e6i | −0.209719 | + | 1.18938i | ||||
\(101\) | 1.78893e6 | + | 651116.i | 1.73631 | + | 0.631967i | 0.999048 | − | 0.0436345i | \(-0.0138937\pi\) |
0.737267 | + | 0.675601i | \(0.236116\pi\) | |||||||
\(102\) | −621179. | − | 1.07591e6i | −0.585351 | − | 1.01386i | ||||
\(103\) | 928887. | + | 536293.i | 0.850063 | + | 0.490784i | 0.860672 | − | 0.509160i | \(-0.170044\pi\) |
−0.0106091 | + | 0.999944i | \(0.503377\pi\) | |||||||
\(104\) | −100139. | + | 84026.2i | −0.0890228 | + | 0.0746990i | ||||
\(105\) | −3.53369e6 | − | 4.21129e6i | −3.05253 | − | 3.63787i | ||||
\(106\) | −740362. | + | 1.28234e6i | −0.621622 | + | 1.07668i | ||||
\(107\) | 1.69568e6 | − | 979004.i | 1.38418 | − | 0.799159i | 0.391532 | − | 0.920165i | \(-0.371945\pi\) |
0.992652 | + | 0.121006i | \(0.0386120\pi\) | |||||||
\(108\) | 187680. | − | 515647.i | 0.148987 | − | 0.409337i | ||||
\(109\) | −1.08811e6 | − | 191863.i | −0.840221 | − | 0.148154i | −0.263055 | − | 0.964781i | \(-0.584730\pi\) |
−0.577165 | + | 0.816627i | \(0.695841\pi\) | |||||||
\(110\) | −399200. | + | 70389.7i | −0.299925 | + | 0.0528848i | ||||
\(111\) | −1.97095e6 | + | 717368.i | −1.44114 | + | 0.524533i | ||||
\(112\) | −433299. | − | 363581.i | −0.308414 | − | 0.258790i | ||||
\(113\) | − | 1.42947e6i | − | 0.990692i | −0.868696 | − | 0.495346i | \(-0.835041\pi\) | ||
0.868696 | − | 0.495346i | \(-0.164959\pi\) | |||||||
\(114\) | −692484. | + | 1.52140e6i | −0.467407 | + | 1.02690i | ||||
\(115\) | 2.49881e6 | 1.64301 | ||||||||
\(116\) | 242339. | − | 288808.i | 0.155256 | − | 0.185027i | ||||
\(117\) | 278364. | + | 764798.i | 0.173802 | + | 0.477517i | ||||
\(118\) | 89939.5 | + | 510072.i | 0.0547400 | + | 0.310446i | ||||
\(119\) | −488970. | + | 2.77309e6i | −0.290162 | + | 1.64559i | ||||
\(120\) | 1.69293e6 | + | 616175.i | 0.979703 | + | 0.356583i | ||||
\(121\) | 837671. | + | 1.45089e6i | 0.472844 | + | 0.818989i | ||||
\(122\) | −1.00607e6 | − | 580853.i | −0.554048 | − | 0.319880i | ||||
\(123\) | −736102. | + | 617663.i | −0.395570 | + | 0.331922i | ||||
\(124\) | −291942. | − | 347923.i | −0.153120 | − | 0.182481i | ||||
\(125\) | −2.55457e6 | + | 4.42465e6i | −1.30794 | + | 2.26542i | ||||
\(126\) | −3.04984e6 | + | 1.76083e6i | −1.52464 | + | 0.880248i | ||||
\(127\) | 585947. | − | 1.60988e6i | 0.286053 | − | 0.785925i | −0.710556 | − | 0.703641i | \(-0.751556\pi\) |
0.996609 | − | 0.0822840i | \(-0.0262215\pi\) | |||||||
\(128\) | 182548. | + | 32188.1i | 0.0870455 | + | 0.0153485i | ||||
\(129\) | 1.13879e6 | − | 200799.i | 0.530486 | − | 0.0935390i | ||||
\(130\) | −886783. | + | 322763.i | −0.403634 | + | 0.146911i | ||||
\(131\) | −1.91811e6 | − | 1.60948e6i | −0.853217 | − | 0.715934i | 0.107279 | − | 0.994229i | \(-0.465786\pi\) |
−0.960496 | + | 0.278295i | \(0.910231\pi\) | |||||||
\(132\) | 427635.i | 0.185931i | ||||||||
\(133\) | 3.41890e6 | − | 1.63269e6i | 1.45322 | − | 0.693984i | ||||
\(134\) | 670419. | 0.278633 | ||||||||
\(135\) | 2.54635e6 | − | 3.03462e6i | 1.03494 | − | 1.23340i | ||||
\(136\) | −315613. | − | 867140.i | −0.125469 | − | 0.344725i | ||||
\(137\) | 300681. | + | 1.70524e6i | 0.116935 | + | 0.663170i | 0.985774 | + | 0.168076i | \(0.0537553\pi\) |
−0.868839 | + | 0.495094i | \(0.835134\pi\) | |||||||
\(138\) | 457760. | − | 2.59608e6i | 0.174181 | − | 0.987828i | ||||
\(139\) | −128917. | − | 46921.9i | −0.0480027 | − | 0.0174716i | 0.317907 | − | 0.948122i | \(-0.397020\pi\) |
−0.365910 | + | 0.930650i | \(0.619242\pi\) | |||||||
\(140\) | −2.04168e6 | − | 3.53629e6i | −0.744052 | − | 1.28874i | ||||
\(141\) | −6.08641e6 | − | 3.51399e6i | −2.17122 | − | 1.25355i | ||||
\(142\) | 2.44243e6 | − | 2.04944e6i | 0.853015 | − | 0.715765i | ||||
\(143\) | −143986. | − | 171596.i | −0.0492393 | − | 0.0586811i | ||||
\(144\) | 577043. | − | 999468.i | 0.193251 | − | 0.334720i | ||||
\(145\) | 2.35706e6 | − | 1.36085e6i | 0.773154 | − | 0.446381i | ||||
\(146\) | −496835. | + | 1.36504e6i | −0.159644 | + | 0.438619i | ||||
\(147\) | 7.95378e6 | + | 1.40247e6i | 2.50393 | + | 0.441510i | ||||
\(148\) | −1.53426e6 | + | 270531.i | −0.473275 | + | 0.0834511i | ||||
\(149\) | −2.67602e6 | + | 973991.i | −0.808966 | + | 0.294440i | −0.713197 | − | 0.700964i | \(-0.752753\pi\) |
−0.0957695 | + | 0.995404i | \(0.530531\pi\) | |||||||
\(150\) | 7.04596e6 | + | 5.91226e6i | 2.08769 | + | 1.75178i | ||||
\(151\) | − | 1.52429e6i | − | 0.442728i | −0.975191 | − | 0.221364i | \(-0.928949\pi\) | ||
0.975191 | − | 0.221364i | \(-0.0710508\pi\) | |||||||
\(152\) | −702778. | + | 1.02357e6i | −0.200118 | + | 0.291466i | ||||
\(153\) | −5.74535e6 | −1.60414 | ||||||||
\(154\) | 623026. | − | 742493.i | 0.170586 | − | 0.203297i | ||||
\(155\) | −1.12141e6 | − | 3.08105e6i | −0.301141 | − | 0.827378i | ||||
\(156\) | 172877. | + | 980432.i | 0.0455368 | + | 0.258252i | ||||
\(157\) | 133995. | − | 759923.i | 0.0346250 | − | 0.196368i | −0.962589 | − | 0.270967i | \(-0.912657\pi\) |
0.997214 | + | 0.0745990i | \(0.0237677\pi\) | |||||||
\(158\) | −1.43434e6 | − | 522057.i | −0.363648 | − | 0.132357i | ||||
\(159\) | 5.63848e6 | + | 9.76614e6i | 1.40272 | + | 2.42958i | ||||
\(160\) | 1.15888e6 | + | 669081.i | 0.282930 | + | 0.163350i | ||||
\(161\) | −4.57706e6 | + | 3.84061e6i | −1.09675 | + | 0.920285i | ||||
\(162\) | 301214. | + | 358972.i | 0.0708483 | + | 0.0844337i | ||||
\(163\) | 390844. | − | 676962.i | 0.0902487 | − | 0.156315i | −0.817367 | − | 0.576117i | \(-0.804567\pi\) |
0.907616 | + | 0.419802i | \(0.137900\pi\) | |||||||
\(164\) | −618118. | + | 356871.i | −0.140133 | + | 0.0809058i | ||||
\(165\) | −1.05587e6 | + | 2.90097e6i | −0.235048 | + | 0.645790i | ||||
\(166\) | 4.74340e6 | + | 836389.i | 1.03697 | + | 0.182845i | ||||
\(167\) | 406585. | − | 71691.9i | 0.0872975 | − | 0.0153929i | −0.129829 | − | 0.991536i | \(-0.541443\pi\) |
0.217126 | + | 0.976144i | \(0.430332\pi\) | |||||||
\(168\) | −4.04798e6 | + | 1.47334e6i | −0.853709 | + | 0.310725i | ||||
\(169\) | 3.29807e6 | + | 2.76741e6i | 0.683281 | + | 0.573341i | ||||
\(170\) | − | 6.66173e6i | − | 1.35594i | ||||||
\(171\) | 4.49198e6 | + | 6.29129e6i | 0.898358 | + | 1.25821i | ||||
\(172\) | 858911. | 0.168796 | ||||||||
\(173\) | 3.14520e6 | − | 3.74830e6i | 0.607448 | − | 0.723929i | −0.371410 | − | 0.928469i | \(-0.621125\pi\) |
0.978858 | + | 0.204540i | \(0.0655699\pi\) | |||||||
\(174\) | −982032. | − | 2.69811e6i | −0.186414 | − | 0.512167i | ||||
\(175\) | −3.62011e6 | − | 2.05307e7i | −0.675473 | − | 3.83080i | ||||
\(176\) | −55156.9 | + | 312810.i | −0.0101172 | + | 0.0573777i | ||||
\(177\) | 3.70667e6 | + | 1.34912e6i | 0.668443 | + | 0.243293i | ||||
\(178\) | 1.39897e6 | + | 2.42309e6i | 0.248056 | + | 0.429645i | ||||
\(179\) | 1.55899e6 | + | 900082.i | 0.271821 | + | 0.156936i | 0.629715 | − | 0.776826i | \(-0.283172\pi\) |
−0.357894 | + | 0.933762i | \(0.616505\pi\) | |||||||
\(180\) | 6.38228e6 | − | 5.35537e6i | 1.09436 | − | 0.918274i | ||||
\(181\) | 1.23889e6 | + | 1.47645e6i | 0.208928 | + | 0.248991i | 0.860325 | − | 0.509747i | \(-0.170261\pi\) |
−0.651396 | + | 0.758738i | \(0.725816\pi\) | |||||||
\(182\) | 1.12824e6 | − | 1.95417e6i | 0.187149 | − | 0.324151i | ||||
\(183\) | −7.66206e6 | + | 4.42369e6i | −1.25024 | + | 0.721824i | ||||
\(184\) | 669693. | − | 1.83997e6i | 0.107503 | − | 0.295363i | ||||
\(185\) | −1.10760e7 | − | 1.95300e6i | −1.74931 | − | 0.308451i | ||||
\(186\) | −3.40643e6 | + | 600645.i | −0.529371 | + | 0.0933425i | ||||
\(187\) | 1.48591e6 | − | 540829.i | 0.227232 | − | 0.0827056i | ||||
\(188\) | −3.99890e6 | − | 3.35548e6i | −0.601821 | − | 0.504988i | ||||
\(189\) | 9.47219e6i | 1.40302i | ||||||||
\(190\) | −7.29476e6 | + | 5.20845e6i | −1.06353 | + | 0.759360i | ||||
\(191\) | 3.44283e6 | 0.494101 | 0.247051 | − | 0.969003i | \(-0.420539\pi\) | ||||
0.247051 | + | 0.969003i | \(0.420539\pi\) | |||||||
\(192\) | 907425. | − | 1.08143e6i | 0.128206 | − | 0.152790i | ||||
\(193\) | −1.11377e6 | − | 3.06007e6i | −0.154926 | − | 0.425657i | 0.837811 | − | 0.545961i | \(-0.183835\pi\) |
−0.992737 | + | 0.120304i | \(0.961613\pi\) | |||||||
\(194\) | −233550. | − | 1.32453e6i | −0.0319871 | − | 0.181408i | ||||
\(195\) | −1.24802e6 | + | 7.07785e6i | −0.168312 | + | 0.954547i | ||||
\(196\) | 5.63722e6 | + | 2.05178e6i | 0.748680 | + | 0.272497i | ||||
\(197\) | −426793. | − | 739228.i | −0.0558237 | − | 0.0966896i | 0.836763 | − | 0.547565i | \(-0.184445\pi\) |
−0.892587 | + | 0.450876i | \(0.851112\pi\) | |||||||
\(198\) | 1.71267e6 | + | 988810.i | 0.220637 | + | 0.127385i | ||||
\(199\) | −9.53313e6 | + | 7.99924e6i | −1.20970 | + | 1.01506i | −0.210397 | + | 0.977616i | \(0.567476\pi\) |
−0.999299 | + | 0.0374393i | \(0.988080\pi\) | |||||||
\(200\) | 4.39148e6 | + | 5.23356e6i | 0.548935 | + | 0.654195i | ||||
\(201\) | 2.55291e6 | − | 4.42176e6i | 0.314374 | − | 0.544512i | ||||
\(202\) | 9.32636e6 | − | 5.38458e6i | 1.13151 | − | 0.653277i | ||||
\(203\) | −2.22582e6 | + | 6.11540e6i | −0.266074 | + | 0.731033i | ||||
\(204\) | −6.92107e6 | − | 1.22037e6i | −0.815234 | − | 0.143748i | ||||
\(205\) | −5.07430e6 | + | 894737.i | −0.588999 | + | 0.103856i | ||||
\(206\) | 5.70155e6 | − | 2.07519e6i | 0.652216 | − | 0.237387i | ||||
\(207\) | −9.33880e6 | − | 7.83618e6i | −1.05288 | − | 0.883473i | ||||
\(208\) | 739473.i | 0.0821736i | ||||||||
\(209\) | −1.75398e6 | − | 1.20427e6i | −0.192125 | − | 0.131912i | ||||
\(210\) | −3.10983e7 | −3.35798 | ||||||||
\(211\) | −8.43850e6 | + | 1.00566e7i | −0.898293 | + | 1.07054i | 0.0988571 | + | 0.995102i | \(0.468481\pi\) |
−0.997150 | + | 0.0754424i | \(0.975963\pi\) | |||||||
\(212\) | 2.86484e6 | + | 7.87109e6i | 0.300672 | + | 0.826090i | ||||
\(213\) | −4.21654e6 | − | 2.39132e7i | −0.436333 | − | 2.47457i | ||||
\(214\) | 1.92336e6 | − | 1.09079e7i | 0.196254 | − | 1.11301i | ||||
\(215\) | 5.82664e6 | + | 2.12072e6i | 0.586277 | + | 0.213387i | ||||
\(216\) | −1.55207e6 | − | 2.68827e6i | −0.154011 | − | 0.266754i | ||||
\(217\) | 6.78959e6 | + | 3.91997e6i | 0.664454 | + | 0.383622i | ||||
\(218\) | −4.78796e6 | + | 4.01757e6i | −0.462148 | + | 0.387788i | ||||
\(219\) | 7.11126e6 | + | 8.47486e6i | 0.677039 | + | 0.806864i | ||||
\(220\) | −1.14653e6 | + | 1.98584e6i | −0.107675 | + | 0.186499i | ||||
\(221\) | 3.18810e6 | − | 1.84065e6i | 0.295362 | − | 0.170527i | ||||
\(222\) | −4.05805e6 | + | 1.11494e7i | −0.370901 | + | 1.01904i | ||||
\(223\) | 8.86605e6 | + | 1.56332e6i | 0.799495 | + | 0.140973i | 0.558446 | − | 0.829541i | \(-0.311398\pi\) |
0.241048 | + | 0.970513i | \(0.422509\pi\) | |||||||
\(224\) | −3.15109e6 | + | 555621.i | −0.280360 | + | 0.0494350i | ||||
\(225\) | 3.99707e7 | − | 1.45482e7i | 3.50909 | − | 1.27720i | ||||
\(226\) | −6.19445e6 | − | 5.19776e6i | −0.536633 | − | 0.450289i | ||||
\(227\) | 7.75257e6i | 0.662778i | 0.943494 | + | 0.331389i | \(0.107517\pi\) | ||||
−0.943494 | + | 0.331389i | \(0.892483\pi\) | |||||||
\(228\) | 4.07487e6 | + | 8.53287e6i | 0.343803 | + | 0.719931i | ||||
\(229\) | −1.08004e7 | −0.899359 | −0.449680 | − | 0.893190i | \(-0.648462\pi\) | ||||
−0.449680 | + | 0.893190i | \(0.648462\pi\) | |||||||
\(230\) | 9.08605e6 | − | 1.08283e7i | 0.746778 | − | 0.889976i | ||||
\(231\) | −2.52469e6 | − | 6.93653e6i | −0.204820 | − | 0.562738i | ||||
\(232\) | −370340. | − | 2.10030e6i | −0.0296576 | − | 0.168197i | ||||
\(233\) | −786395. | + | 4.45987e6i | −0.0621689 | + | 0.352577i | 0.937816 | + | 0.347132i | \(0.112844\pi\) |
−0.999985 | + | 0.00544525i | \(0.998267\pi\) | |||||||
\(234\) | 4.32635e6 | + | 1.57466e6i | 0.337656 | + | 0.122897i | ||||
\(235\) | −1.88426e7 | − | 3.26364e7i | −1.45190 | − | 2.51477i | ||||
\(236\) | 2.53738e6 | + | 1.46496e6i | 0.193041 | + | 0.111452i | ||||
\(237\) | −8.90509e6 | + | 7.47226e6i | −0.668950 | + | 0.561315i | ||||
\(238\) | 1.02389e7 | + | 1.22023e7i | 0.759493 | + | 0.905128i | ||||
\(239\) | −4.95624e6 | + | 8.58446e6i | −0.363043 | + | 0.628810i | −0.988460 | − | 0.151481i | \(-0.951596\pi\) |
0.625417 | + | 0.780291i | \(0.284929\pi\) | |||||||
\(240\) | 8.82588e6 | − | 5.09562e6i | 0.638446 | − | 0.368607i | ||||
\(241\) | 1.51733e6 | − | 4.16882e6i | 0.108400 | − | 0.297826i | −0.873619 | − | 0.486611i | \(-0.838233\pi\) |
0.982018 | + | 0.188785i | \(0.0604551\pi\) | |||||||
\(242\) | 9.33319e6 | + | 1.64569e6i | 0.658543 | + | 0.116119i | ||||
\(243\) | 1.58257e7 | − | 2.79049e6i | 1.10292 | − | 0.194474i | ||||
\(244\) | −6.17529e6 | + | 2.24762e6i | −0.425097 | + | 0.154723i | ||||
\(245\) | 3.31754e7 | + | 2.78375e7i | 2.25589 | + | 1.89292i | ||||
\(246\) | 5.43575e6i | 0.365135i | ||||||||
\(247\) | −4.50815e6 | − | 2.05194e6i | −0.299163 | − | 0.136167i | ||||
\(248\) | −2.56924e6 | −0.168442 | ||||||||
\(249\) | 2.35789e7 | − | 2.81003e7i | 1.52731 | − | 1.82017i | ||||
\(250\) | 9.88497e6 | + | 2.71587e7i | 0.632638 | + | 1.73816i | ||||
\(251\) | −1.07382e6 | − | 6.08996e6i | −0.0679066 | − | 0.385118i | −0.999752 | − | 0.0222624i | \(-0.992913\pi\) |
0.931846 | − | 0.362855i | \(-0.118198\pi\) | |||||||
\(252\) | −3.45933e6 | + | 1.96188e7i | −0.216168 | + | 1.22595i | ||||
\(253\) | 3.15293e6 | + | 1.14757e6i | 0.194694 | + | 0.0708629i | ||||
\(254\) | −4.84564e6 | − | 8.39290e6i | −0.295699 | − | 0.512166i | ||||
\(255\) | −4.39376e7 | − | 2.53674e7i | −2.64982 | − | 1.52987i | ||||
\(256\) | 803256. | − | 674012.i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 2.40025e6 | + | 2.86051e6i | 0.141403 | + | 0.168517i | 0.832098 | − | 0.554629i | \(-0.187140\pi\) |
−0.690695 | + | 0.723146i | \(0.742695\pi\) | |||||||
\(258\) | 3.27067e6 | − | 5.66497e6i | 0.190448 | − | 0.329866i | ||||
\(259\) | 2.32896e7 | − | 1.34462e7i | 1.34049 | − | 0.773930i | ||||
\(260\) | −1.82582e6 | + | 5.01640e6i | −0.103881 | + | 0.285412i | ||||
\(261\) | −1.30766e7 | − | 2.30576e6i | −0.735485 | − | 0.129686i | ||||
\(262\) | −1.39491e7 | + | 2.45960e6i | −0.775607 | + | 0.136760i | ||||
\(263\) | 4.86630e6 | − | 1.77119e6i | 0.267505 | − | 0.0973638i | −0.204785 | − | 0.978807i | \(-0.565650\pi\) |
0.472290 | + | 0.881443i | \(0.343427\pi\) | |||||||
\(264\) | 1.85311e6 | + | 1.55495e6i | 0.100714 | + | 0.0845091i | ||||
\(265\) | 6.04690e7i | 3.24934i | ||||||||
\(266\) | 5.35652e6 | − | 2.07522e7i | 0.284602 | − | 1.10260i | ||||
\(267\) | 2.13087e7 | 1.11950 | ||||||||
\(268\) | 2.43775e6 | − | 2.90519e6i | 0.126644 | − | 0.150928i | ||||
\(269\) | −6.02461e6 | − | 1.65525e7i | −0.309508 | − | 0.850366i | −0.992753 | − | 0.120177i | \(-0.961654\pi\) |
0.683245 | − | 0.730190i | \(-0.260568\pi\) | |||||||
\(270\) | −3.89131e6 | − | 2.20687e7i | −0.197699 | − | 1.12121i | ||||
\(271\) | −3.54594e6 | + | 2.01100e7i | −0.178166 | + | 1.01043i | 0.756261 | + | 0.654271i | \(0.227024\pi\) |
−0.934426 | + | 0.356157i | \(0.884087\pi\) | |||||||
\(272\) | −4.90528e6 | − | 1.78538e6i | −0.243757 | − | 0.0887203i | ||||
\(273\) | −8.59250e6 | − | 1.48826e7i | −0.422310 | − | 0.731463i | ||||
\(274\) | 8.48283e6 | + | 4.89756e6i | 0.412372 | + | 0.238083i | ||||
\(275\) | −8.96813e6 | + | 7.52515e6i | −0.431225 | + | 0.361841i | ||||
\(276\) | −9.58539e6 | − | 1.14234e7i | −0.455913 | − | 0.543336i | ||||
\(277\) | −538557. | + | 932808.i | −0.0253392 | + | 0.0438887i | −0.878417 | − | 0.477895i | \(-0.841400\pi\) |
0.853078 | + | 0.521784i | \(0.174733\pi\) | |||||||
\(278\) | −672094. | + | 388034.i | −0.0312821 | + | 0.0180607i | ||||
\(279\) | −5.47103e6 | + | 1.50315e7i | −0.251917 | + | 0.692135i | ||||
\(280\) | −2.27480e7 | − | 4.01109e6i | −1.03626 | − | 0.182721i | ||||
\(281\) | 1.74167e7 | − | 3.07104e6i | 0.784960 | − | 0.138410i | 0.233218 | − | 0.972425i | \(-0.425074\pi\) |
0.551742 | + | 0.834015i | \(0.313963\pi\) | |||||||
\(282\) | −3.73587e7 | + | 1.35974e7i | −1.66588 | + | 0.606331i | ||||
\(283\) | −2.01884e7 | − | 1.69401e7i | −0.890723 | − | 0.747406i | 0.0776317 | − | 0.996982i | \(-0.475264\pi\) |
−0.968355 | + | 0.249576i | \(0.919709\pi\) | |||||||
\(284\) | − | 1.80361e7i | − | 0.787386i | ||||||
\(285\) | 6.57455e6 | + | 6.79461e7i | 0.284009 | + | 2.93515i | ||||
\(286\) | −1.26715e6 | −0.0541663 | ||||||||
\(287\) | 7.91940e6 | − | 9.43797e6i | 0.335001 | − | 0.399239i | ||||
\(288\) | −2.23288e6 | − | 6.13478e6i | −0.0934733 | − | 0.256816i | ||||
\(289\) | 321153. | + | 1.82135e6i | 0.0133051 | + | 0.0754571i | ||||
\(290\) | 2.67353e6 | − | 1.51623e7i | 0.109620 | − | 0.621687i | ||||
\(291\) | −9.62531e6 | − | 3.50332e6i | −0.390603 | − | 0.142168i | ||||
\(292\) | 4.10871e6 | + | 7.11649e6i | 0.165028 | + | 0.285836i | ||||
\(293\) | −2.24958e7 | − | 1.29879e7i | −0.894330 | − | 0.516342i | −0.0189738 | − | 0.999820i | \(-0.506040\pi\) |
−0.875356 | + | 0.483478i | \(0.839373\pi\) | |||||||
\(294\) | 3.49986e7 | − | 2.93673e7i | 1.37724 | − | 1.15564i | ||||
\(295\) | 1.35959e7 | + | 1.62029e7i | 0.529591 | + | 0.631142i | ||||
\(296\) | −4.40648e6 | + | 7.63225e6i | −0.169909 | + | 0.294291i | ||||
\(297\) | 4.60656e6 | − | 2.65960e6i | 0.175836 | − | 0.101519i | ||||
\(298\) | −5.50973e6 | + | 1.51379e7i | −0.208200 | + | 0.572026i | ||||
\(299\) | 7.69259e6 | + | 1.35641e6i | 0.287779 | + | 0.0507432i | ||||
\(300\) | 5.12404e7 | − | 9.03507e6i | 1.89779 | − | 0.334632i | ||||
\(301\) | −1.39321e7 | + | 5.07088e6i | −0.510879 | + | 0.185945i | ||||
\(302\) | −6.60536e6 | − | 5.54255e6i | −0.239815 | − | 0.201228i | ||||
\(303\) | − | 8.20163e7i | − | 2.94830i | ||||||
\(304\) | 1.88015e6 | + | 6.76729e6i | 0.0669223 | + | 0.240876i | ||||
\(305\) | −4.74412e7 | −1.67208 | ||||||||
\(306\) | −2.08910e7 | + | 2.48969e7i | −0.729113 | + | 0.868923i | ||||
\(307\) | −7.87355e6 | − | 2.16324e7i | −0.272117 | − | 0.747635i | −0.998197 | − | 0.0600246i | \(-0.980882\pi\) |
0.726080 | − | 0.687610i | \(-0.241340\pi\) | |||||||
\(308\) | −952102. | − | 5.39964e6i | −0.0325860 | − | 0.184805i | ||||
\(309\) | 8.02409e6 | − | 4.55069e7i | 0.271970 | − | 1.54242i | ||||
\(310\) | −1.74291e7 | − | 6.34366e6i | −0.585045 | − | 0.212939i | ||||
\(311\) | 4.17457e6 | + | 7.23057e6i | 0.138781 | + | 0.240376i | 0.927036 | − | 0.374973i | \(-0.122348\pi\) |
−0.788254 | + | 0.615350i | \(0.789015\pi\) | |||||||
\(312\) | 4.87721e6 | + | 2.81586e6i | 0.160586 | + | 0.0927144i | ||||
\(313\) | 1.27855e7 | − | 1.07283e7i | 0.416951 | − | 0.349863i | −0.410051 | − | 0.912063i | \(-0.634489\pi\) |
0.827002 | + | 0.562199i | \(0.190045\pi\) | |||||||
\(314\) | −2.80583e6 | − | 3.34385e6i | −0.0906299 | − | 0.108009i | ||||
\(315\) | −7.19078e7 | + | 1.24548e8i | −2.30062 | + | 3.98478i | ||||
\(316\) | −7.47777e6 | + | 4.31729e6i | −0.236979 | + | 0.136820i | ||||
\(317\) | −1.30935e7 | + | 3.59741e7i | −0.411034 | + | 1.12931i | 0.545608 | + | 0.838040i | \(0.316299\pi\) |
−0.956642 | + | 0.291266i | \(0.905924\pi\) | |||||||
\(318\) | 6.28230e7 | + | 1.10774e7i | 1.95361 | + | 0.344474i | ||||
\(319\) | 3.59904e6 | − | 634608.i | 0.110870 | − | 0.0195494i | ||||
\(320\) | 7.11328e6 | − | 2.58902e6i | 0.217080 | − | 0.0790107i | ||||
\(321\) | −6.46192e7 | − | 5.42220e7i | −1.95365 | − | 1.63931i | ||||
\(322\) | 3.37993e7i | 1.01237i | ||||||||
\(323\) | 2.44959e7 | − | 2.49506e7i | 0.726920 | − | 0.740411i | ||||
\(324\) | 2.65083e6 | 0.0779376 | ||||||||
\(325\) | −1.75190e7 | + | 2.08783e7i | −0.510338 | + | 0.608197i | ||||
\(326\) | −1.51238e6 | − | 4.15523e6i | −0.0436524 | − | 0.119934i | ||||
\(327\) | 8.26580e6 | + | 4.68777e7i | 0.236397 | + | 1.34067i | ||||
\(328\) | −701110. | + | 3.97619e6i | −0.0198685 | + | 0.112680i | ||||
\(329\) | 8.46753e7 | + | 3.08193e7i | 2.37776 | + | 0.865436i | ||||
\(330\) | 8.73176e6 | + | 1.51239e7i | 0.242974 | + | 0.420844i | ||||
\(331\) | −6.64525e6 | − | 3.83664e6i | −0.183243 | − | 0.105795i | 0.405572 | − | 0.914063i | \(-0.367072\pi\) |
−0.588815 | + | 0.808268i | \(0.700406\pi\) | |||||||
\(332\) | 2.08721e7 | − | 1.75138e7i | 0.570365 | − | 0.478593i | ||||
\(333\) | 3.52698e7 | + | 4.20329e7i | 0.955147 | + | 1.13830i | ||||
\(334\) | 1.16774e6 | − | 2.02258e6i | 0.0313405 | − | 0.0542833i | ||||
\(335\) | 2.37102e7 | − | 1.36891e7i | 0.630669 | − | 0.364117i | ||||
\(336\) | −8.33448e6 | + | 2.28988e7i | −0.219716 | + | 0.603664i | ||||
\(337\) | 3.76433e7 | + | 6.63753e6i | 0.983554 | + | 0.173427i | 0.642224 | − | 0.766517i | \(-0.278012\pi\) |
0.341329 | + | 0.939944i | \(0.389123\pi\) | |||||||
\(338\) | 2.39846e7 | − | 4.22913e6i | 0.621129 | − | 0.109522i | ||||
\(339\) | −5.78699e7 | + | 2.10629e7i | −1.48544 | + | 0.540654i | ||||
\(340\) | −2.88680e7 | − | 2.42231e7i | −0.734479 | − | 0.616301i | ||||
\(341\) | − | 4.40260e6i | − | 0.111031i | ||||||
\(342\) | 4.35962e7 | + | 3.41057e6i | 1.08986 | + | 0.0852607i | ||||
\(343\) | −3.85667e7 | −0.955718 | ||||||||
\(344\) | 3.12314e6 | − | 3.72201e6i | 0.0767212 | − | 0.0914328i | ||||
\(345\) | −3.68195e7 | − | 1.01161e8i | −0.896645 | − | 2.46351i | ||||
\(346\) | −4.80646e6 | − | 2.72588e7i | −0.116037 | − | 0.658079i | ||||
\(347\) | −6.37474e6 | + | 3.61530e7i | −0.152572 | + | 0.865277i | 0.808401 | + | 0.588633i | \(0.200334\pi\) |
−0.960972 | + | 0.276645i | \(0.910778\pi\) | |||||||
\(348\) | −1.52628e7 | − | 5.55521e6i | −0.362157 | − | 0.131814i | ||||
\(349\) | 2.61550e7 | + | 4.53018e7i | 0.615288 | + | 1.06571i | 0.990334 | + | 0.138704i | \(0.0442935\pi\) |
−0.375046 | + | 0.927006i | \(0.622373\pi\) | |||||||
\(350\) | −1.02131e8 | − | 5.89653e7i | −2.38206 | − | 1.37528i | ||||
\(351\) | 9.48622e6 | − | 7.95989e6i | 0.219367 | − | 0.184071i | ||||
\(352\) | 1.15497e6 | + | 1.37644e6i | 0.0264816 | + | 0.0315595i | ||||
\(353\) | 7.09510e6 | − | 1.22891e7i | 0.161300 | − | 0.279380i | −0.774035 | − | 0.633143i | \(-0.781765\pi\) |
0.935335 | + | 0.353763i | \(0.115098\pi\) | |||||||
\(354\) | 1.93243e7 | − | 1.11569e7i | 0.435607 | − | 0.251498i | ||||
\(355\) | 4.45327e7 | − | 1.22352e8i | 0.995391 | − | 2.73481i | ||||
\(356\) | 1.55871e7 | + | 2.74843e6i | 0.345474 | + | 0.0609165i | ||||
\(357\) | 1.19469e8 | − | 2.10657e7i | 2.62574 | − | 0.462989i | ||||
\(358\) | 9.56914e6 | − | 3.48288e6i | 0.208557 | − | 0.0759084i | ||||
\(359\) | 3.94822e7 | + | 3.31295e7i | 0.853331 | + | 0.716030i | 0.960521 | − | 0.278209i | \(-0.0897407\pi\) |
−0.107189 | + | 0.994239i | \(0.534185\pi\) | |||||||
\(360\) | − | 4.71300e7i | − | 1.01016i | ||||||
\(361\) | −4.64735e7 | − | 7.31611e6i | −0.987834 | − | 0.155510i | ||||
\(362\) | 1.09029e7 | 0.229834 | ||||||||
\(363\) | 4.63943e7 | − | 5.52905e7i | 0.969939 | − | 1.15593i | ||||
\(364\) | −4.36574e6 | − | 1.19948e7i | −0.0905219 | − | 0.248707i | ||||
\(365\) | 1.03012e7 | + | 5.84213e7i | 0.211842 | + | 1.20141i | ||||
\(366\) | −8.69080e6 | + | 4.92880e7i | −0.177262 | + | 1.00531i | ||||
\(367\) | −3.85381e7 | − | 1.40267e7i | −0.779635 | − | 0.283764i | −0.0786148 | − | 0.996905i | \(-0.525050\pi\) |
−0.701021 | + | 0.713141i | \(0.747272\pi\) | |||||||
\(368\) | −5.53820e6 | − | 9.59245e6i | −0.111128 | − | 0.192480i | ||||
\(369\) | 2.17701e7 | + | 1.25690e7i | 0.433292 | + | 0.250161i | ||||
\(370\) | −4.87371e7 | + | 4.08953e7i | −0.962177 | + | 0.807362i | ||||
\(371\) | −9.29395e7 | − | 1.10761e8i | −1.82003 | − | 2.16903i | ||||
\(372\) | −9.78347e6 | + | 1.69455e7i | −0.190048 | + | 0.329173i | ||||
\(373\) | −7.29024e7 | + | 4.20902e7i | −1.40480 | + | 0.811064i | −0.994881 | − | 0.101057i | \(-0.967778\pi\) |
−0.409923 | + | 0.912120i | \(0.634444\pi\) | |||||||
\(374\) | 3.05939e6 | − | 8.40560e6i | 0.0584817 | − | 0.160677i | ||||
\(375\) | 2.16767e8 | + | 3.82219e7i | 4.11055 | + | 0.724800i | ||||
\(376\) | −2.90813e7 | + | 5.12781e6i | −0.547079 | + | 0.0964648i | ||||
\(377\) | 7.99491e6 | − | 2.90991e6i | 0.149207 | − | 0.0543070i | ||||
\(378\) | 4.10468e7 | + | 3.44424e7i | 0.759983 | + | 0.637702i | ||||
\(379\) | 7.18380e7i | 1.31958i | 0.751449 | + | 0.659791i | \(0.229355\pi\) | ||||
−0.751449 | + | 0.659791i | \(0.770645\pi\) | |||||||
\(380\) | −3.95456e6 | + | 5.05498e7i | −0.0720688 | + | 0.921232i | ||||
\(381\) | −7.38074e7 | −1.33452 | ||||||||
\(382\) | 1.25187e7 | − | 1.49192e7i | 0.224579 | − | 0.267642i | ||||
\(383\) | 3.36588e7 | + | 9.24767e7i | 0.599103 | + | 1.64602i | 0.753065 | + | 0.657946i | \(0.228575\pi\) |
−0.153961 | + | 0.988077i | \(0.549203\pi\) | |||||||
\(384\) | −1.38672e6 | − | 7.86447e6i | −0.0244903 | − | 0.138892i | ||||
\(385\) | 6.87334e6 | − | 3.89806e7i | 0.120444 | − | 0.683072i | ||||
\(386\) | −1.73104e7 | − | 6.30046e6i | −0.300985 | − | 0.109549i | ||||
\(387\) | −1.51254e7 | − | 2.61979e7i | −0.260960 | − | 0.451996i | ||||
\(388\) | −6.58895e6 | − | 3.80413e6i | −0.112803 | − | 0.0651269i | ||||
\(389\) | 6.50468e7 | − | 5.45808e7i | 1.10504 | − | 0.927237i | 0.107284 | − | 0.994228i | \(-0.465784\pi\) |
0.997754 | + | 0.0669915i | \(0.0213400\pi\) | |||||||
\(390\) | 2.61332e7 | + | 3.11443e7i | 0.440553 | + | 0.525031i | ||||
\(391\) | −2.75707e7 | + | 4.77538e7i | −0.461229 | + | 0.798872i | ||||
\(392\) | 2.93890e7 | − | 1.69677e7i | 0.487895 | − | 0.281686i | ||||
\(393\) | −3.68947e7 | + | 1.01367e8i | −0.607836 | + | 1.67002i | ||||
\(394\) | −4.75526e6 | − | 838480.i | −0.0777473 | − | 0.0137089i | ||||
\(395\) | −6.13870e7 | + | 1.08242e7i | −0.996060 | + | 0.175632i | ||||
\(396\) | 1.05124e7 | − | 3.82622e6i | 0.169285 | − | 0.0616147i | ||||
\(397\) | 4.09084e6 | + | 3.43262e6i | 0.0653793 | + | 0.0548598i | 0.674892 | − | 0.737917i | \(-0.264190\pi\) |
−0.609512 | + | 0.792777i | \(0.708635\pi\) | |||||||
\(398\) | 7.03974e7i | 1.11662i | ||||||||
\(399\) | −1.16474e8 | − | 1.14352e8i | −1.83363 | − | 1.80021i | ||||
\(400\) | 3.86472e7 | 0.603862 | ||||||||
\(401\) | −2.70993e7 | + | 3.22957e7i | −0.420267 | + | 0.500855i | −0.934088 | − | 0.357043i | \(-0.883785\pi\) |
0.513821 | + | 0.857897i | \(0.328230\pi\) | |||||||
\(402\) | −9.87851e6 | − | 2.71410e7i | −0.152059 | − | 0.417780i | ||||
\(403\) | −1.77980e6 | − | 1.00938e7i | −0.0271930 | − | 0.154219i | ||||
\(404\) | 1.05786e7 | − | 5.99940e7i | 0.160429 | − | 0.909838i | ||||
\(405\) | 1.79826e7 | + | 6.54512e6i | 0.270699 | + | 0.0985264i | ||||
\(406\) | 1.84070e7 | + | 3.18819e7i | 0.275046 | + | 0.476394i | ||||
\(407\) | −1.30785e7 | − | 7.55087e6i | −0.193988 | − | 0.111999i | ||||
\(408\) | −3.04544e7 | + | 2.55543e7i | −0.448405 | + | 0.376256i | ||||
\(409\) | −2.53099e7 | − | 3.01632e7i | −0.369931 | − | 0.440866i | 0.548679 | − | 0.836033i | \(-0.315131\pi\) |
−0.918609 | + | 0.395167i | \(0.870687\pi\) | |||||||
\(410\) | −1.45737e7 | + | 2.52424e7i | −0.211455 | + | 0.366251i | ||||
\(411\) | 6.46039e7 | − | 3.72991e7i | 0.930537 | − | 0.537246i | ||||
\(412\) | 1.17391e7 | − | 3.22528e7i | 0.167858 | − | 0.461186i | ||||
\(413\) | −4.98070e7 | − | 8.78232e6i | −0.707034 | − | 0.124669i | ||||
\(414\) | −6.79147e7 | + | 1.19752e7i | −0.957111 | + | 0.168765i | ||||
\(415\) | 1.84834e8 | − | 6.72742e7i | 2.58606 | − | 0.941249i | ||||
\(416\) | 3.20443e6 | + | 2.68884e6i | 0.0445114 | + | 0.0373495i | ||||
\(417\) | 5.91041e6i | 0.0815097i | ||||||||
\(418\) | −1.15963e7 | + | 3.22178e6i | −0.158778 | + | 0.0441131i | ||||
\(419\) | −9.44070e7 | −1.28340 | −0.641700 | − | 0.766956i | \(-0.721771\pi\) | ||||
−0.641700 | + | 0.766956i | \(0.721771\pi\) | |||||||
\(420\) | −1.13078e8 | + | 1.34761e8i | −1.52627 | + | 1.81893i | ||||
\(421\) | −1.44103e7 | − | 3.95919e7i | −0.193120 | − | 0.530592i | 0.804906 | − | 0.593403i | \(-0.202216\pi\) |
−0.998025 | + | 0.0628107i | \(0.979994\pi\) | |||||||
\(422\) | 1.28956e7 | + | 7.31349e7i | 0.171595 | + | 0.973166i | ||||
\(423\) | −3.19261e7 | + | 1.81062e8i | −0.421817 | + | 2.39224i | ||||
\(424\) | 4.45256e7 | + | 1.62060e7i | 0.584134 | + | 0.212607i | ||||
\(425\) | −9.61981e7 | − | 1.66620e8i | −1.25314 | − | 2.17050i | ||||
\(426\) | −1.18958e8 | − | 6.86802e7i | −1.53873 | − | 0.888388i | ||||
\(427\) | 8.68979e7 | − | 7.29160e7i | 1.11616 | − | 0.936567i | ||||
\(428\) | −4.02747e7 | − | 4.79975e7i | −0.513689 | − | 0.612191i | ||||
\(429\) | −4.82520e6 | + | 8.35750e6i | −0.0611144 | + | 0.105853i | ||||
\(430\) | 3.03765e7 | − | 1.75379e7i | 0.382061 | − | 0.220583i | ||||
\(431\) | −1.68147e7 | + | 4.61979e7i | −0.210018 | + | 0.577020i | −0.999316 | − | 0.0369911i | \(-0.988223\pi\) |
0.789298 | + | 0.614011i | \(0.210445\pi\) | |||||||
\(432\) | −1.72929e7 | − | 3.04921e6i | −0.214495 | − | 0.0378212i | ||||
\(433\) | 278682. | − | 49139.1i | 0.00343277 | − | 0.000605291i | −0.171932 | − | 0.985109i | \(-0.555001\pi\) |
0.175364 | + | 0.984504i | \(0.443890\pi\) | |||||||
\(434\) | 4.16748e7 | − | 1.51684e7i | 0.509806 | − | 0.185554i | ||||
\(435\) | −8.98228e7 | − | 7.53703e7i | −1.09124 | − | 0.915656i | ||||
\(436\) | 3.53567e7i | 0.426591i | ||||||||
\(437\) | 7.38475e7 | − | 7.14559e6i | 0.884895 | − | 0.0856236i | ||||
\(438\) | 6.25826e7 | 0.744786 | ||||||||
\(439\) | −7.87904e7 | + | 9.38988e7i | −0.931279 | + | 1.10986i | 0.0624507 | + | 0.998048i | \(0.480108\pi\) |
−0.993730 | + | 0.111807i | \(0.964336\pi\) | |||||||
\(440\) | 4.43650e6 | + | 1.21892e7i | 0.0520814 | + | 0.143092i | ||||
\(441\) | −3.66891e7 | − | 2.08074e8i | −0.427781 | − | 2.42607i | ||||
\(442\) | 3.61615e6 | − | 2.05082e7i | 0.0418773 | − | 0.237498i | ||||
\(443\) | −1.39435e7 | − | 5.07501e6i | −0.160384 | − | 0.0583749i | 0.260581 | − | 0.965452i | \(-0.416086\pi\) |
−0.420964 | + | 0.907077i | \(0.638308\pi\) | |||||||
\(444\) | 3.35591e7 | + | 5.81261e7i | 0.383408 | + | 0.664083i | ||||
\(445\) | 9.89530e7 | + | 5.71305e7i | 1.12292 | + | 0.648318i | ||||
\(446\) | 3.90129e7 | − | 3.27357e7i | 0.439747 | − | 0.368992i | ||||
\(447\) | 7.88614e7 | + | 9.39833e7i | 0.882961 | + | 1.05227i | ||||
\(448\) | −9.05011e6 | + | 1.56752e7i | −0.100651 | + | 0.174333i | ||||
\(449\) | 1.26115e8 | − | 7.28124e7i | 1.39324 | − | 0.804389i | 0.399570 | − | 0.916703i | \(-0.369160\pi\) |
0.993673 | + | 0.112314i | \(0.0358262\pi\) | |||||||
\(450\) | 8.22968e7 | − | 2.26109e8i | 0.903120 | − | 2.48130i | ||||
\(451\) | −6.81353e6 | − | 1.20141e6i | −0.0742750 | − | 0.0130967i | ||||
\(452\) | −4.50480e7 | + | 7.94317e6i | −0.487820 | + | 0.0860159i | ||||
\(453\) | −6.17087e7 | + | 2.24601e7i | −0.663822 | + | 0.241612i | ||||
\(454\) | 3.35950e7 | + | 2.81896e7i | 0.359011 | + | 0.301246i | ||||
\(455\) | − | 9.21489e7i | − | 0.978264i | ||||||
\(456\) | 5.17933e7 | + | 1.33688e7i | 0.546234 | + | 0.140993i | ||||
\(457\) | −9.51564e7 | −0.996986 | −0.498493 | − | 0.866894i | \(-0.666113\pi\) | ||||
−0.498493 | + | 0.866894i | \(0.666113\pi\) | |||||||
\(458\) | −3.92719e7 | + | 4.68024e7i | −0.408776 | + | 0.487161i | ||||
\(459\) | 2.98983e7 | + | 8.21449e7i | 0.309178 | + | 0.849460i | ||||
\(460\) | −1.38852e7 | − | 7.87470e7i | −0.142653 | − | 0.809023i | ||||
\(461\) | −1.67204e7 | + | 9.48258e7i | −0.170664 | + | 0.967885i | 0.772366 | + | 0.635178i | \(0.219073\pi\) |
−0.943030 | + | 0.332707i | \(0.892038\pi\) | |||||||
\(462\) | −3.92390e7 | − | 1.42818e7i | −0.397916 | − | 0.144830i | ||||
\(463\) | 4.61495e7 | + | 7.99333e7i | 0.464969 | + | 0.805350i | 0.999200 | − | 0.0399883i | \(-0.0127321\pi\) |
−0.534231 | + | 0.845339i | \(0.679399\pi\) | |||||||
\(464\) | −1.04481e7 | − | 6.03220e6i | −0.104588 | − | 0.0603839i | ||||
\(465\) | −1.08208e8 | + | 9.07976e7i | −1.07622 | + | 0.903058i | ||||
\(466\) | 1.64669e7 | + | 1.96245e7i | 0.162725 | + | 0.193929i | ||||
\(467\) | −4.35870e6 | + | 7.54950e6i | −0.0427964 | + | 0.0741255i | −0.886630 | − | 0.462479i | \(-0.846960\pi\) |
0.843834 | + | 0.536605i | \(0.180293\pi\) | |||||||
\(468\) | 2.25549e7 | − | 1.30221e7i | 0.220041 | − | 0.127041i | ||||
\(469\) | −2.23901e7 | + | 6.15164e7i | −0.217039 | + | 0.596310i | ||||
\(470\) | −2.09941e8 | − | 3.70183e7i | −2.02211 | − | 0.356552i | ||||
\(471\) | −3.27388e7 | + | 5.77274e6i | −0.313329 | + | 0.0552483i | ||||
\(472\) | 1.55746e7 | − | 5.66868e6i | 0.148112 | − | 0.0539083i | ||||
\(473\) | 6.37796e6 | + | 5.35175e6i | 0.0602696 | + | 0.0505722i | ||||
\(474\) | 6.57597e7i | 0.617482i | ||||||||
\(475\) | −1.07241e8 | + | 2.35610e8i | −1.00064 | + | 2.19843i | ||||
\(476\) | 9.01077e7 | 0.835490 | ||||||||
\(477\) | 1.89629e8 | − | 2.25991e8i | 1.74723 | − | 2.08226i | ||||
\(478\) | 1.91783e7 | + | 5.26918e7i | 0.175600 | + | 0.482458i | ||||
\(479\) | 1.54298e7 | + | 8.75065e7i | 0.140395 | + | 0.796222i | 0.970950 | + | 0.239284i | \(0.0769127\pi\) |
−0.830554 | + | 0.556938i | \(0.811976\pi\) | |||||||
\(480\) | 1.00109e7 | − | 5.67746e7i | 0.0905209 | − | 0.513369i | ||||
\(481\) | −3.30374e7 | − | 1.20246e7i | −0.296873 | − | 0.108053i | ||||
\(482\) | −1.25479e7 | − | 2.17337e7i | −0.112055 | − | 0.194085i | ||||
\(483\) | 2.22924e8 | + | 1.28705e8i | 1.97840 | + | 1.14223i | ||||
\(484\) | 4.10684e7 | − | 3.44605e7i | 0.362219 | − | 0.303938i | ||||
\(485\) | −3.53051e7 | − | 4.20749e7i | −0.309465 | − | 0.368806i | ||||
\(486\) | 4.54523e7 | − | 7.87257e7i | 0.395956 | − | 0.685816i | ||||
\(487\) | 1.51039e8 | − | 8.72025e7i | 1.30768 | − | 0.754992i | 0.325975 | − | 0.945378i | \(-0.394308\pi\) |
0.981709 | + | 0.190387i | \(0.0609742\pi\) | |||||||
\(488\) | −1.27145e7 | + | 3.49327e7i | −0.109405 | + | 0.300589i | ||||
\(489\) | −3.31649e7 | − | 5.84787e6i | −0.283630 | − | 0.0500116i | ||||
\(490\) | 2.41262e8 | − | 4.25410e7i | 2.05069 | − | 0.361593i | ||||
\(491\) | −4.52296e7 | + | 1.64622e7i | −0.382101 | + | 0.139073i | −0.525927 | − | 0.850530i | \(-0.676282\pi\) |
0.143826 | + | 0.989603i | \(0.454059\pi\) | |||||||
\(492\) | 2.35553e7 | + | 1.97652e7i | 0.197785 | + | 0.165961i | ||||
\(493\) | 6.00598e7i | 0.501237i | ||||||||
\(494\) | −2.52842e7 | + | 1.20745e7i | −0.209734 | + | 0.100158i | ||||
\(495\) | 8.07610e7 | 0.665865 | ||||||||
\(496\) | −9.34215e6 | + | 1.11335e7i | −0.0765600 | + | 0.0912407i | ||||
\(497\) | 1.06483e8 | + | 2.92558e8i | 0.867380 | + | 2.38311i | ||||
\(498\) | −3.60331e7 | − | 2.04354e8i | −0.291752 | − | 1.65461i | ||||
\(499\) | −1.75686e7 | + | 9.96364e7i | −0.141395 | + | 0.801893i | 0.828796 | + | 0.559551i | \(0.189027\pi\) |
−0.970191 | + | 0.242341i | \(0.922085\pi\) | |||||||
\(500\) | 1.53633e8 | + | 5.59178e7i | 1.22906 | + | 0.447343i | ||||
\(501\) | −8.89331e6 | − | 1.54037e7i | −0.0707213 | − | 0.122493i | ||||
\(502\) | −3.02948e7 | − | 1.74907e7i | −0.239474 | − | 0.138260i | ||||
\(503\) | −2.88498e7 | + | 2.42079e7i | −0.226694 | + | 0.190219i | −0.749059 | − | 0.662503i | \(-0.769494\pi\) |
0.522365 | + | 0.852722i | \(0.325050\pi\) | |||||||
\(504\) | 7.24377e7 | + | 8.63278e7i | 0.565813 | + | 0.674309i | ||||
\(505\) | 2.19893e8 | − | 3.80865e8i | 1.70741 | − | 2.95731i | ||||
\(506\) | 1.64374e7 | − | 9.49016e6i | 0.126877 | − | 0.0732524i | ||||
\(507\) | 6.34381e7 | − | 1.74295e8i | 0.486773 | − | 1.33740i | ||||
\(508\) | −5.39893e7 | − | 9.51977e6i | −0.411829 | − | 0.0726165i | ||||
\(509\) | −2.00674e8 | + | 3.53843e7i | −1.52173 | + | 0.268323i | −0.871114 | − | 0.491081i | \(-0.836602\pi\) |
−0.650620 | + | 0.759404i | \(0.725491\pi\) | |||||||
\(510\) | −2.69691e8 | + | 9.81595e7i | −2.03309 | + | 0.739983i | ||||
\(511\) | −1.08661e8 | − | 9.11773e7i | −0.814349 | − | 0.683320i | ||||
\(512\) | − | 5.93164e6i | − | 0.0441942i | ||||||
\(513\) | 6.65748e7 | − | 9.69641e7i | 0.493126 | − | 0.718222i | ||||
\(514\) | 2.11234e7 | 0.155552 | ||||||||
\(515\) | 1.59270e8 | − | 1.89810e8i | 1.16604 | − | 1.38963i | ||||
\(516\) | −1.26559e7 | − | 3.47718e7i | −0.0921179 | − | 0.253092i | ||||
\(517\) | −8.78693e6 | − | 4.98331e7i | −0.0635866 | − | 0.360617i | ||||
\(518\) | 2.64165e7 | − | 1.49816e8i | 0.190058 | − | 1.07787i | ||||
\(519\) | −1.98089e8 | − | 7.20983e7i | −1.41696 | − | 0.515731i | ||||
\(520\) | 1.50991e7 | + | 2.61524e7i | 0.107384 | + | 0.185995i | ||||
\(521\) | 1.28157e8 | + | 7.39917e7i | 0.906213 | + | 0.523202i | 0.879211 | − | 0.476433i | \(-0.158071\pi\) |
0.0270023 | + | 0.999635i | \(0.491404\pi\) | |||||||
\(522\) | −5.75404e7 | + | 4.82821e7i | −0.404540 | + | 0.339449i | ||||
\(523\) | 7.89857e7 | + | 9.41314e7i | 0.552132 | + | 0.658006i | 0.967862 | − | 0.251483i | \(-0.0809181\pi\) |
−0.415729 | + | 0.909488i | \(0.636474\pi\) | |||||||
\(524\) | −4.00626e7 | + | 6.93905e7i | −0.278449 | + | 0.482287i | ||||
\(525\) | −7.77814e8 | + | 4.49071e8i | −5.37524 | + | 3.10340i | ||||
\(526\) | 1.00194e7 | − | 2.75279e7i | 0.0688466 | − | 0.189154i | ||||
\(527\) | 7.12540e7 | + | 1.25640e7i | 0.486830 | + | 0.0858413i | ||||
\(528\) | 1.34764e7 | − | 2.37626e6i | 0.0915530 | − | 0.0161433i | ||||
\(529\) | 2.91612e7 | − | 1.06138e7i | 0.196987 | − | 0.0716976i | ||||
\(530\) | 2.62037e8 | + | 2.19875e8i | 1.76009 | + | 1.47689i | ||||
\(531\) | − | 1.03191e8i | − | 0.689223i | ||||||
\(532\) | −7.04504e7 | − | 9.86701e7i | −0.467895 | − | 0.655316i | ||||
\(533\) | −1.61070e7 | −0.106373 | ||||||||
\(534\) | 7.74819e7 | − | 9.23393e7i | 0.508834 | − | 0.606405i | ||||
\(535\) | −1.54703e8 | − | 4.25044e8i | −1.01027 | − | 2.77570i | ||||
\(536\) | −3.72535e6 | − | 2.11275e7i | −0.0241920 | − | 0.137200i | ||||
\(537\) | 1.34671e7 | − | 7.63760e7i | 0.0869667 | − | 0.493212i | ||||
\(538\) | −9.36349e7 | − | 3.40803e7i | −0.601300 | − | 0.218855i | ||||
\(539\) | 2.90756e7 | + | 5.03604e7i | 0.185679 | + | 0.321605i | ||||
\(540\) | −1.09782e8 | − | 6.33827e7i | −0.697188 | − | 0.402522i | ||||
\(541\) | −1.82908e8 | + | 1.53478e8i | −1.15516 | + | 0.969290i | −0.999828 | − | 0.0185726i | \(-0.994088\pi\) |
−0.155328 | + | 0.987863i | \(0.549643\pi\) | |||||||
\(542\) | 7.42513e7 | + | 8.84893e7i | 0.466344 | + | 0.555767i | ||||
\(543\) | 4.15173e7 | − | 7.19101e7i | 0.259316 | − | 0.449149i | ||||
\(544\) | −2.55731e7 | + | 1.47647e7i | −0.158850 | + | 0.0917121i | ||||
\(545\) | −8.72986e7 | + | 2.39851e8i | −0.539284 | + | 1.48167i | ||||
\(546\) | −9.57362e7 | − | 1.68809e7i | −0.588164 | − | 0.103709i | ||||
\(547\) | −6.79572e7 | + | 1.19827e7i | −0.415215 | + | 0.0732136i | −0.377353 | − | 0.926069i | \(-0.623166\pi\) |
−0.0378618 | + | 0.999283i | \(0.512055\pi\) | |||||||
\(548\) | 5.20680e7 | − | 1.89512e7i | 0.316395 | − | 0.115158i | ||||
\(549\) | 1.77302e8 | + | 1.48774e8i | 1.07151 | + | 0.899104i | ||||
\(550\) | 6.62251e7i | 0.398047i | ||||||||
\(551\) | 6.57669e7 | − | 4.69575e7i | 0.393145 | − | 0.280705i | ||||
\(552\) | −8.43562e7 | −0.501533 | ||||||||
\(553\) | 9.58059e7 | − | 1.14177e8i | 0.566522 | − | 0.675155i | ||||
\(554\) | 2.08395e6 | + | 5.72562e6i | 0.0122563 | + | 0.0336739i | ||||
\(555\) | 8.41385e7 | + | 4.77173e8i | 0.492171 | + | 2.79124i | ||||
\(556\) | −762333. | + | 4.32340e6i | −0.00443527 | + | 0.0251537i | ||||
\(557\) | −5.49382e7 | − | 1.99959e7i | −0.317914 | − | 0.115711i | 0.178134 | − | 0.984006i | \(-0.442994\pi\) |
−0.496048 | + | 0.868295i | \(0.665216\pi\) | |||||||
\(558\) | 4.52442e7 | + | 7.83652e7i | 0.260411 | + | 0.451046i | ||||
\(559\) | 1.67862e7 | + | 9.69150e6i | 0.0960984 | + | 0.0554824i | ||||
\(560\) | −1.00097e8 | + | 8.39915e7i | −0.569977 | + | 0.478268i | ||||
\(561\) | −4.37894e7 | − | 5.21861e7i | −0.248016 | − | 0.295574i | ||||
\(562\) | 5.00219e7 | − | 8.66404e7i | 0.281806 | − | 0.488103i | ||||
\(563\) | 2.48677e7 | − | 1.43574e7i | 0.139351 | − | 0.0804544i | −0.428704 | − | 0.903445i | \(-0.641030\pi\) |
0.568055 | + | 0.822991i | \(0.307696\pi\) | |||||||
\(564\) | −7.69187e7 | + | 2.11332e8i | −0.428741 | + | 1.17796i | ||||
\(565\) | −3.25207e8 | − | 5.73427e7i | −1.80308 | − | 0.317931i | ||||
\(566\) | −1.46816e8 | + | 2.58877e7i | −0.809702 | + | 0.142772i | ||||
\(567\) | −4.29983e7 | + | 1.56501e7i | −0.235886 | + | 0.0858556i | ||||
\(568\) | −7.81577e7 | − | 6.55821e7i | −0.426508 | − | 0.357882i | ||||
\(569\) | − | 7.00490e7i | − | 0.380246i | −0.981760 | − | 0.190123i | \(-0.939111\pi\) | ||
0.981760 | − | 0.190123i | \(-0.0608887\pi\) | |||||||
\(570\) | 3.18344e8 | + | 2.18572e8i | 1.71898 | + | 1.18024i | ||||
\(571\) | 3.28041e8 | 1.76206 | 0.881028 | − | 0.473063i | \(-0.156852\pi\) | ||||
0.881028 | + | 0.473063i | \(0.156852\pi\) | |||||||
\(572\) | −4.60755e6 | + | 5.49106e6i | −0.0246196 | + | 0.0293405i | ||||
\(573\) | −5.07295e7 | − | 1.39378e8i | −0.269648 | − | 0.740852i | ||||
\(574\) | −1.21024e7 | − | 6.86359e7i | −0.0639933 | − | 0.362924i | ||||
\(575\) | 7.08904e7 | − | 4.02039e8i | 0.372892 | − | 2.11478i | ||||
\(576\) | −3.47036e7 | − | 1.26311e7i | −0.181596 | − | 0.0660956i | ||||
\(577\) | −1.86655e8 | − | 3.23295e8i | −0.971653 | − | 1.68295i | −0.690565 | − | 0.723270i | \(-0.742638\pi\) |
−0.281088 | − | 0.959682i | \(-0.590695\pi\) | |||||||
\(578\) | 9.06040e6 | + | 5.23103e6i | 0.0469207 | + | 0.0270897i | ||||
\(579\) | −1.07471e8 | + | 9.01792e7i | −0.553678 | + | 0.464591i | ||||
\(580\) | −5.59831e7 | − | 6.67181e7i | −0.286928 | − | 0.341947i | ||||
\(581\) | −2.35162e8 | + | 4.07312e8i | −1.19905 | + | 2.07682i | ||||
\(582\) | −5.01804e7 | + | 2.89717e7i | −0.254545 | + | 0.146962i | ||||
\(583\) | −2.77703e7 | + | 7.62982e7i | −0.140144 | + | 0.385043i | ||||
\(584\) | 4.57785e7 | + | 8.07199e6i | 0.229839 | + | 0.0405268i | ||||
\(585\) | 1.85160e8 | − | 3.26486e7i | 0.924865 | − | 0.163079i | ||||
\(586\) | −1.38080e8 | + | 5.02570e7i | −0.686180 | + | 0.249749i | ||||
\(587\) | −1.14701e8 | − | 9.62452e7i | −0.567089 | − | 0.475844i | 0.313589 | − | 0.949559i | \(-0.398468\pi\) |
−0.880679 | + | 0.473714i | \(0.842913\pi\) | |||||||
\(588\) | − | 2.58447e8i | − | 1.27128i | ||||||
\(589\) | −4.19518e7 | − | 8.78479e7i | −0.205307 | − | 0.429918i | ||||
\(590\) | 1.19650e8 | 0.582584 | ||||||||
\(591\) | −2.36379e7 | + | 2.81705e7i | −0.114511 | + | 0.136469i | ||||
\(592\) | 1.70510e7 | + | 4.68471e7i | 0.0821833 | + | 0.225797i | ||||
\(593\) | −2.48387e7 | − | 1.40867e8i | −0.119115 | − | 0.675532i | −0.984630 | − | 0.174651i | \(-0.944120\pi\) |
0.865516 | − | 0.500882i | \(-0.166991\pi\) | |||||||
\(594\) | 5.22507e6 | − | 2.96328e7i | 0.0249306 | − | 0.141388i | ||||
\(595\) | 6.11268e8 | + | 2.22483e8i | 2.90189 | + | 1.05620i | ||||
\(596\) | 4.55642e7 | + | 7.89194e7i | 0.215221 | + | 0.372774i | ||||
\(597\) | 4.64307e8 | + | 2.68068e8i | 2.18214 | + | 1.25986i | ||||
\(598\) | 3.38493e7 | − | 2.84030e7i | 0.158288 | − | 0.132819i | ||||
\(599\) | −1.65498e8 | − | 1.97233e8i | −0.770040 | − | 0.917698i | 0.228398 | − | 0.973568i | \(-0.426651\pi\) |
−0.998438 | + | 0.0558695i | \(0.982207\pi\) | |||||||
\(600\) | 1.47166e8 | − | 2.54898e8i | 0.681322 | − | 1.18008i | ||||
\(601\) | 1.19322e8 | − | 6.88905e7i | 0.549663 | − | 0.317348i | −0.199323 | − | 0.979934i | \(-0.563874\pi\) |
0.748986 | + | 0.662586i | \(0.230541\pi\) | |||||||
\(602\) | −2.86853e7 | + | 7.88121e7i | −0.131483 | + | 0.361246i | ||||
\(603\) | −1.31541e8 | − | 2.31942e7i | −0.599942 | − | 0.105786i | ||||
\(604\) | −4.80362e7 | + | 8.47008e6i | −0.218001 | + | 0.0384394i | ||||
\(605\) | 3.63683e8 | − | 1.32370e8i | 1.64232 | − | 0.597755i | ||||
\(606\) | −3.55409e8 | − | 2.98224e8i | −1.59702 | − | 1.34006i | ||||
\(607\) | − | 2.40321e8i | − | 1.07455i | −0.843408 | − | 0.537274i | \(-0.819454\pi\) | ||
0.843408 | − | 0.537274i | \(-0.180546\pi\) | |||||||
\(608\) | 3.61619e7 | + | 1.64595e7i | 0.160894 | + | 0.0732328i | ||||
\(609\) | 2.80371e8 | 1.24131 | ||||||||
\(610\) | −1.72503e8 | + | 2.05582e8i | −0.759991 | + | 0.905722i | ||||
\(611\) | −4.02913e7 | − | 1.10699e8i | −0.176639 | − | 0.485313i | ||||
\(612\) | 3.19254e7 | + | 1.81058e8i | 0.139278 | + | 0.789884i | ||||
\(613\) | −9.85628e6 | + | 5.58977e7i | −0.0427889 | + | 0.242668i | −0.998699 | − | 0.0509911i | \(-0.983762\pi\) |
0.955910 | + | 0.293659i | \(0.0948731\pi\) | |||||||
\(614\) | −1.22371e8 | − | 4.45395e7i | −0.528658 | − | 0.192416i | ||||
\(615\) | 1.10991e8 | + | 1.92242e8i | 0.477159 | + | 0.826463i | ||||
\(616\) | −2.68608e7 | − | 1.55081e7i | −0.114915 | − | 0.0663462i | ||||
\(617\) | 7.40057e7 | − | 6.20981e7i | 0.315072 | − | 0.264377i | −0.471513 | − | 0.881859i | \(-0.656292\pi\) |
0.786585 | + | 0.617483i | \(0.211847\pi\) | |||||||
\(618\) | −1.68023e8 | − | 2.00242e8i | −0.711873 | − | 0.848377i | ||||
\(619\) | 1.18376e8 | − | 2.05034e8i | 0.499106 | − | 0.864477i | −0.500894 | − | 0.865509i | \(-0.666995\pi\) |
0.999999 | + | 0.00103223i | \(0.000328569\pi\) | |||||||
\(620\) | −9.08645e7 | + | 5.24606e7i | −0.381258 | + | 0.220119i | ||||
\(621\) | −6.34406e7 | + | 1.74302e8i | −0.264906 | + | 0.727825i | ||||
\(622\) | 4.65124e7 | + | 8.20139e6i | 0.193285 | + | 0.0340813i | ||||
\(623\) | −2.69060e8 | + | 4.74426e7i | −1.11272 | + | 0.196202i | ||||
\(624\) | 2.99365e7 | − | 1.08960e7i | 0.123211 | − | 0.0448450i | ||||
\(625\) | 4.52398e8 | + | 3.79607e8i | 1.85302 | + | 1.55487i | ||||
\(626\) | − | 9.44146e7i | − | 0.384872i | ||||||
\(627\) | −2.29085e7 | + | 8.87520e7i | −0.0929382 | + | 0.360060i | ||||
\(628\) | −2.46927e7 | −0.0996986 | ||||||||
\(629\) | 1.59530e8 | − | 1.90121e8i | 0.641049 | − | 0.763972i | ||||
\(630\) | 2.78248e8 | + | 7.64481e8i | 1.11278 | + | 3.05735i | ||||
\(631\) | 5.39972e7 | + | 3.06233e8i | 0.214923 | + | 1.21889i | 0.881040 | + | 0.473042i | \(0.156844\pi\) |
−0.666116 | + | 0.745848i | \(0.732045\pi\) | |||||||
\(632\) | −8.48177e6 | + | 4.81025e7i | −0.0335997 | + | 0.190553i | ||||
\(633\) | 5.31468e8 | + | 1.93439e8i | 2.09540 | + | 0.762661i | ||||
\(634\) | 1.08280e8 | + | 1.87547e8i | 0.424894 | + | 0.735939i | ||||
\(635\) | −3.42745e8 | − | 1.97884e8i | −1.33860 | − | 0.772839i | ||||
\(636\) | 2.76437e8 | − | 2.31958e8i | 1.07455 | − | 0.901651i | ||||
\(637\) | 8.70200e7 | + | 1.03706e8i | 0.336667 | + | 0.401224i | ||||
\(638\) | 1.03367e7 | − | 1.79036e7i | 0.0398032 | − | 0.0689412i | ||||
\(639\) | −5.50126e8 | + | 3.17615e8i | −2.10843 | + | 1.21730i | ||||
\(640\) | 1.46457e7 | − | 4.02388e7i | 0.0558690 | − | 0.153499i | ||||
\(641\) | −4.02839e8 | − | 7.10313e7i | −1.52953 | − | 0.269697i | −0.655357 | − | 0.755319i | \(-0.727482\pi\) |
−0.874169 | + | 0.485622i | \(0.838593\pi\) | |||||||
\(642\) | −4.69931e8 | + | 8.28615e7i | −1.77594 | + | 0.313147i | ||||
\(643\) | −1.33451e8 | + | 4.85723e7i | −0.501984 | + | 0.182707i | −0.580586 | − | 0.814199i | \(-0.697177\pi\) |
0.0786019 | + | 0.996906i | \(0.474954\pi\) | |||||||
\(644\) | 1.46466e8 | + | 1.22899e8i | 0.548377 | + | 0.460143i | ||||
\(645\) | − | 2.67132e8i | − | 0.995512i | ||||||
\(646\) | −1.90499e7 | − | 1.96875e8i | −0.0706634 | − | 0.730286i | ||||
\(647\) | −1.60316e8 | −0.591920 | −0.295960 | − | 0.955200i | \(-0.595639\pi\) | ||||
−0.295960 | + | 0.955200i | \(0.595639\pi\) | |||||||
\(648\) | 9.63884e6 | − | 1.14871e7i | 0.0354242 | − | 0.0422169i | ||||
\(649\) | 9.71374e6 | + | 2.66883e7i | 0.0355347 | + | 0.0976308i | ||||
\(650\) | 2.67723e7 | + | 1.51833e8i | 0.0974868 | + | 0.552875i | ||||
\(651\) | 5.86512e7 | − | 3.32627e8i | 0.212586 | − | 1.20563i | ||||
\(652\) | −2.35055e7 | − | 8.55531e6i | −0.0848061 | − | 0.0308669i | ||||
\(653\) | 3.43934e7 | + | 5.95712e7i | 0.123520 | + | 0.213942i | 0.921153 | − | 0.389200i | \(-0.127248\pi\) |
−0.797634 | + | 0.603142i | \(0.793915\pi\) | |||||||
\(654\) | 2.33196e8 | + | 1.34636e8i | 0.833656 | + | 0.481312i | ||||
\(655\) | −4.43105e8 | + | 3.71810e8i | −1.57682 | + | 1.32311i | ||||
\(656\) | 1.46811e7 | + | 1.74962e7i | 0.0520052 | + | 0.0619774i | ||||
\(657\) | 1.44708e8 | − | 2.50642e8i | 0.510267 | − | 0.883808i | ||||
\(658\) | 4.41445e8 | − | 2.54868e8i | 1.54953 | − | 0.894619i | ||||
\(659\) | 1.12784e8 | − | 3.09872e8i | 0.394087 | − | 1.08275i | −0.571030 | − | 0.820929i | \(-0.693456\pi\) |
0.965118 | − | 0.261817i | \(-0.0843216\pi\) | |||||||
\(660\) | 9.72878e7 | + | 1.71545e7i | 0.338397 | + | 0.0596685i | ||||
\(661\) | 5.12498e7 | − | 9.03672e6i | 0.177455 | − | 0.0312901i | −0.0842145 | − | 0.996448i | \(-0.526838\pi\) |
0.261669 | + | 0.965158i | \(0.415727\pi\) | |||||||
\(662\) | −4.07888e7 | + | 1.48459e7i | −0.140594 | + | 0.0511721i | ||||
\(663\) | −1.21492e8 | − | 1.01944e8i | −0.416877 | − | 0.349801i | ||||
\(664\) | − | 1.54130e8i | − | 0.526482i | ||||||
\(665\) | −2.34293e8 | − | 8.43301e8i | −0.796699 | − | 2.86759i | ||||
\(666\) | 3.10392e8 | 1.05072 | ||||||||
\(667\) | −8.19166e7 | + | 9.76244e7i | −0.276054 | + | 0.328989i | ||||
\(668\) | −4.51858e6 | − | 1.24147e7i | −0.0151591 | − | 0.0416492i | ||||
\(669\) | −6.73507e7 | − | 3.81965e8i | −0.224939 | − | 1.27569i | ||||
\(670\) | 2.68937e7 | − | 1.52522e8i | 0.0894182 | − | 0.507116i | ||||
\(671\) | −5.98600e7 | − | 2.17873e7i | −0.198139 | − | 0.0721166i | ||||
\(672\) | 6.89242e7 | + | 1.19380e8i | 0.227125 | + | 0.393391i | ||||
\(673\) | −3.53320e8 | − | 2.03989e8i | −1.15911 | − | 0.669210i | −0.208017 | − | 0.978125i | \(-0.566701\pi\) |
−0.951090 | + | 0.308915i | \(0.900034\pi\) | |||||||
\(674\) | 1.65640e8 | − | 1.38989e8i | 0.540986 | − | 0.453941i | ||||
\(675\) | −4.16009e8 | − | 4.95780e8i | −1.35267 | − | 1.61205i | ||||
\(676\) | 6.88851e7 | − | 1.19313e8i | 0.222990 | − | 0.386230i | ||||
\(677\) | 3.80676e8 | − | 2.19783e8i | 1.22684 | − | 0.708319i | 0.260476 | − | 0.965480i | \(-0.416121\pi\) |
0.966368 | + | 0.257162i | \(0.0827873\pi\) | |||||||
\(678\) | −1.19150e8 | + | 3.27362e8i | −0.382300 | + | 1.05036i | ||||
\(679\) | 1.29336e8 | + | 2.28055e7i | 0.413153 | + | 0.0728501i | ||||
\(680\) | −2.09937e8 | + | 3.70175e7i | −0.667670 | + | 0.117728i | ||||
\(681\) | 3.13852e8 | − | 1.14233e8i | 0.993765 | − | 0.361701i | ||||
\(682\) | −1.90782e7 | − | 1.60085e7i | −0.0601430 | − | 0.0504660i | ||||
\(683\) | 5.90466e8i | 1.85324i | 0.375994 | + | 0.926622i | \(0.377301\pi\) | ||||
−0.375994 | + | 0.926622i | \(0.622699\pi\) | |||||||
\(684\) | 1.73302e8 | − | 1.76519e8i | 0.541546 | − | 0.551598i | ||||
\(685\) | 4.00008e8 | 1.24451 | ||||||||
\(686\) | −1.40234e8 | + | 1.67125e8i | −0.434392 | + | 0.517689i | ||||
\(687\) | 1.59142e8 | + | 4.37239e8i | 0.490811 | + | 1.34849i | ||||
\(688\) | −4.77275e6 | − | 2.70676e7i | −0.0146556 | − | 0.0831160i | ||||
\(689\) | −3.28240e7 | + | 1.86154e8i | −0.100354 | + | 0.569135i | ||||
\(690\) | −5.72251e8 | − | 2.08283e8i | −1.74197 | − | 0.634024i | ||||
\(691\) | 2.76487e8 | + | 4.78890e8i | 0.837994 | + | 1.45145i | 0.891570 | + | 0.452884i | \(0.149605\pi\) |
−0.0535758 | + | 0.998564i | \(0.517062\pi\) | |||||||
\(692\) | −1.35600e8 | − | 7.82889e7i | −0.409207 | − | 0.236255i | ||||
\(693\) | −1.47930e8 | + | 1.24128e8i | −0.444484 | + | 0.372966i | ||||
\(694\) | 1.33486e8 | + | 1.59082e8i | 0.399352 | + | 0.475930i | ||||
\(695\) | −1.58463e7 | + | 2.74466e7i | −0.0472035 | + | 0.0817588i | ||||
\(696\) | −7.95709e7 | + | 4.59403e7i | −0.236008 | + | 0.136259i | ||||
\(697\) | 3.88885e7 | − | 1.06845e8i | 0.114848 | − | 0.315542i | ||||
\(698\) | 2.91414e8 | + | 5.13842e7i | 0.856929 | + | 0.151100i | ||||
\(699\) | 1.92139e8 | − | 3.38793e7i | 0.562579 | − | 0.0991979i | ||||
\(700\) | −6.26885e8 | + | 2.28167e8i | −1.82765 | + | 0.665211i | ||||
\(701\) | 4.06490e8 | + | 3.41086e8i | 1.18004 | + | 0.990169i | 0.999979 | + | 0.00651360i | \(0.00207336\pi\) |
0.180059 | + | 0.983656i | \(0.442371\pi\) | |||||||
\(702\) | − | 7.00510e7i | − | 0.202490i | ||||||
\(703\) | −3.32915e8 | − | 2.60442e7i | −0.958224 | − | 0.0749627i | ||||
\(704\) | 1.01644e7 | 0.0291314 | ||||||||
\(705\) | −1.04359e9 | + | 1.24371e9i | −2.97827 | + | 3.54937i | ||||
\(706\) | −2.74546e7 | − | 7.54309e7i | −0.0780192 | − | 0.214356i | ||||
\(707\) | 1.82604e8 | + | 1.03560e9i | 0.516717 | + | 2.93045i | ||||
\(708\) | 2.19189e7 | − | 1.24308e8i | 0.0617617 | − | 0.350268i | ||||
\(709\) | −6.34469e8 | − | 2.30928e8i | −1.78021 | − | 0.647944i | −0.999741 | − | 0.0227507i | \(-0.992758\pi\) |
−0.780470 | − | 0.625193i | \(-0.785020\pi\) | |||||||
\(710\) | −3.68275e8 | − | 6.37871e8i | −1.02896 | − | 1.78220i | ||||
\(711\) | 2.63366e8 | + | 1.52055e8i | 0.732742 | + | 0.423049i | ||||
\(712\) | 6.85872e7 | − | 5.75515e7i | 0.190022 | − | 0.159447i | ||||
\(713\) | 9.86838e7 | + | 1.17607e8i | 0.272256 | + | 0.324462i | ||||
\(714\) | 3.43123e8 | − | 5.94307e8i | 0.942661 | − | 1.63274i | ||||
\(715\) | −4.48143e7 | + | 2.58736e7i | −0.122602 | + | 0.0707845i | ||||
\(716\) | 1.97022e7 | − | 5.41312e7i | 0.0536753 | − | 0.147472i | ||||
\(717\) | 4.20559e8 | + | 7.41559e7i | 1.14096 | + | 0.201182i | ||||
\(718\) | 2.87127e8 | − | 5.06282e7i | 0.775711 | − | 0.136779i | ||||
\(719\) | −2.02561e8 | + | 7.37261e7i | −0.544965 | + | 0.198351i | −0.599808 | − | 0.800144i | \(-0.704756\pi\) |
0.0548429 | + | 0.998495i | \(0.482534\pi\) | |||||||
\(720\) | −2.04233e8 | − | 1.71372e8i | −0.547178 | − | 0.459137i | ||||
\(721\) | 5.92469e8i | 1.58074i | ||||||||
\(722\) | −2.00689e8 | + | 1.74786e8i | −0.533226 | + | 0.464403i | ||||
\(723\) | −1.91127e8 | −0.505715 | ||||||||
\(724\) | 3.96445e7 | − | 4.72465e7i | 0.104464 | − | 0.124496i | ||||
\(725\) | −1.52081e8 | − | 4.17839e8i | −0.399081 | − | 1.09647i | ||||
\(726\) | −7.08993e7 | − | 4.02090e8i | −0.185282 | − | 1.05078i | ||||
\(727\) | 6.11847e6 | − | 3.46996e7i | 0.0159235 | − | 0.0903069i | −0.975810 | − | 0.218619i | \(-0.929845\pi\) |
0.991734 | + | 0.128312i | \(0.0409559\pi\) | |||||||
\(728\) | −6.78527e7 | − | 2.46964e7i | −0.175862 | − | 0.0640087i | ||||
\(729\) | −3.15963e8 | − | 5.47264e8i | −0.815556 | − | 1.41259i | ||||
\(730\) | 2.90620e8 | + | 1.67789e8i | 0.747062 | + | 0.431316i | ||||
\(731\) | −1.04817e8 | + | 8.79517e7i | −0.268336 | + | 0.225160i | ||||
\(732\) | 1.81984e8 | + | 2.16880e8i | 0.463980 | + | 0.552949i | ||||
\(733\) | −1.76849e8 | + | 3.06311e8i | −0.449046 | + | 0.777770i | −0.998324 | − | 0.0578693i | \(-0.981569\pi\) |
0.549278 | + | 0.835639i | \(0.314903\pi\) | |||||||
\(734\) | −2.00914e8 | + | 1.15998e8i | −0.508068 | + | 0.293333i | ||||
\(735\) | 6.38128e8 | − | 1.75324e9i | 1.60711 | − | 4.41550i | ||||
\(736\) | −6.17057e7 | − | 1.08804e7i | −0.154772 | − | 0.0272904i | ||||
\(737\) | 3.62037e7 | − | 6.38368e6i | 0.0904378 | − | 0.0159466i | ||||
\(738\) | 1.33626e8 | − | 4.86358e7i | 0.332446 | − | 0.121000i | ||||
\(739\) | −4.19602e8 | − | 3.52088e8i | −1.03969 | − | 0.872405i | −0.0477197 | − | 0.998861i | \(-0.515195\pi\) |
−0.991972 | + | 0.126456i | \(0.959640\pi\) | |||||||
\(740\) | 3.59899e8i | 0.888149i | ||||||||
\(741\) | −1.66429e7 | + | 2.12741e8i | −0.0409049 | + | 0.522874i | ||||
\(742\) | −8.17914e8 | −2.00215 | ||||||||
\(743\) | 3.18712e8 | − | 3.79826e8i | 0.777019 | − | 0.926015i | −0.221776 | − | 0.975098i | \(-0.571185\pi\) |
0.998795 | + | 0.0490826i | \(0.0156298\pi\) | |||||||
\(744\) | 3.78573e7 | + | 1.04012e8i | 0.0919244 | + | 0.252560i | ||||
\(745\) | 1.14237e8 | + | 6.47871e8i | 0.276273 | + | 1.56682i | ||||
\(746\) | −8.26907e7 | + | 4.68962e8i | −0.199177 | + | 1.12959i | ||||
\(747\) | −9.01752e8 | − | 3.28211e8i | −2.16334 | − | 0.787392i | ||||
\(748\) | −2.53004e7 | − | 4.38216e7i | −0.0604537 | − | 0.104709i | ||||
\(749\) | 9.36653e8 | + | 5.40777e8i | 2.22912 | + | 1.28698i | ||||
\(750\) | 9.53830e8 | − | 8.00358e8i | 2.26093 | − | 1.89715i | ||||
\(751\) | 3.64573e7 | + | 4.34481e7i | 0.0860725 | + | 0.102577i | 0.807362 | − | 0.590057i | \(-0.200895\pi\) |
−0.721289 | + | 0.692634i | \(0.756450\pi\) | |||||||
\(752\) | −8.35232e7 | + | 1.44666e8i | −0.196405 | + | 0.340184i | ||||
\(753\) | −2.30721e8 | + | 1.33207e8i | −0.540384 | + | 0.311991i | ||||
\(754\) | 1.64609e7 | − | 4.52261e7i | 0.0384008 | − | 0.105505i | ||||
\(755\) | −3.46779e8 | − | 6.11465e7i | −0.805772 | − | 0.142079i | ||||
\(756\) | 2.98505e8 | − | 5.26345e7i | 0.690855 | − | 0.121816i | ||||
\(757\) | −4.10797e8 | + | 1.49518e8i | −0.946976 | + | 0.344671i | −0.768917 | − | 0.639349i | \(-0.779204\pi\) |
−0.178059 | + | 0.984020i | \(0.556982\pi\) | |||||||
\(758\) | 3.11303e8 | + | 2.61214e8i | 0.714785 | + | 0.599776i | ||||
\(759\) | − | 1.44551e8i | − | 0.330595i | ||||||
\(760\) | 2.04673e8 | + | 2.00944e8i | 0.466252 | + | 0.457756i | ||||
\(761\) | 6.85052e8 | 1.55442 | 0.777212 | − | 0.629238i | \(-0.216633\pi\) | ||||
0.777212 | + | 0.629238i | \(0.216633\pi\) | |||||||
\(762\) | −2.68375e8 | + | 3.19837e8i | −0.606565 | + | 0.722876i | ||||
\(763\) | −2.08741e8 | − | 5.73510e8i | −0.469930 | − | 1.29112i | ||||
\(764\) | −1.91309e7 | − | 1.08497e8i | −0.0428999 | − | 0.243297i | ||||
\(765\) | −2.30473e8 | + | 1.30708e9i | −0.514797 | + | 2.91956i | ||||
\(766\) | 5.23127e8 | + | 1.90403e8i | 1.16391 | + | 0.423630i | ||||
\(767\) | 3.30596e7 | + | 5.72609e7i | 0.0732676 | + | 0.126903i | ||||
\(768\) | −3.91223e7 | − | 2.25872e7i | −0.0863655 | − | 0.0498631i | ||||
\(769\) | 4.38506e8 | − | 3.67950e8i | 0.964264 | − | 0.809114i | −0.0173771 | − | 0.999849i | \(-0.505532\pi\) |
0.981642 | + | 0.190735i | \(0.0610871\pi\) | |||||||
\(770\) | −1.43926e8 | − | 1.71525e8i | −0.315259 | − | 0.375711i | ||||
\(771\) | 8.04364e7 | − | 1.39320e8i | 0.175505 | − | 0.303984i | ||||
\(772\) | −9.02456e7 | + | 5.21033e7i | −0.196144 | + | 0.113244i | ||||
\(773\) | 2.65077e8 | − | 7.28292e8i | 0.573896 | − | 1.57677i | −0.224398 | − | 0.974498i | \(-0.572041\pi\) |
0.798294 | − | 0.602268i | \(-0.205736\pi\) | |||||||
\(774\) | −1.68524e8 | − | 2.97154e7i | −0.363446 | − | 0.0640854i | ||||
\(775\) | −5.27532e8 | + | 9.30182e7i | −1.13330 | + | 0.199831i | ||||
\(776\) | −4.04433e7 | + | 1.47201e7i | −0.0865488 | + | 0.0315012i | ||||
\(777\) | −8.87520e8 | − | 7.44718e8i | −1.89197 | − | 1.58755i | ||||
\(778\) | − | 4.80338e8i | − | 1.02002i | ||||||
\(779\) | −1.47403e8 | + | 4.09527e7i | −0.311813 | + | 0.0866304i | ||||
\(780\) | 2.29985e8 | 0.484636 | ||||||||
\(781\) | 1.12380e8 | − | 1.33930e8i | 0.235905 | − | 0.281141i | ||||
\(782\) | 1.06685e8 | + | 2.93115e8i | 0.223092 | + | 0.612939i | ||||
\(783\) | 3.50827e7 | + | 1.98964e8i | 0.0730815 | + | 0.414466i | ||||
\(784\) | 3.33349e7 | − | 1.89052e8i | 0.0691753 | − | 0.392312i | ||||
\(785\) | −1.67509e8 | − | 6.09683e7i | −0.346281 | − | 0.126036i | ||||
\(786\) | 3.05111e8 | + | 5.28467e8i | 0.628333 | + | 1.08830i | ||||
\(787\) | −3.37677e7 | − | 1.94958e7i | −0.0692752 | − | 0.0399960i | 0.464962 | − | 0.885330i | \(-0.346068\pi\) |
−0.534238 | + | 0.845334i | \(0.679401\pi\) | |||||||
\(788\) | −2.09243e7 | + | 1.75576e7i | −0.0427635 | + | 0.0358828i | ||||
\(789\) | −1.43408e8 | − | 1.70907e8i | −0.291973 | − | 0.347960i | ||||
\(790\) | −1.76307e8 | + | 3.05373e8i | −0.357593 | + | 0.619369i | ||||
\(791\) | 6.83814e8 | − | 3.94800e8i | 1.38168 | − | 0.797716i | ||||
\(792\) | 2.16443e7 | − | 5.94674e7i | 0.0435681 | − | 0.119702i | ||||
\(793\) | −1.46048e8 | − | 2.57522e7i | −0.292871 | − | 0.0516410i | ||||
\(794\) | 2.97498e7 | − | 5.24570e6i | 0.0594324 | − | 0.0104795i | ||||
\(795\) | 2.44800e9 | − | 8.91000e8i | 4.87204 | − | 1.77328i | ||||
\(796\) | 3.05060e8 | + | 2.55976e8i | 0.604848 | + | 0.507528i | ||||
\(797\) | − | 2.56376e8i | − | 0.506411i | −0.967413 | − | 0.253205i | \(-0.918515\pi\) | ||
0.967413 | − | 0.253205i | \(-0.0814849\pi\) | |||||||
\(798\) | −9.19050e8 | + | 8.89285e7i | −1.80855 | + | 0.174998i | ||||
\(799\) | 8.31602e8 | 1.63033 | ||||||||
\(800\) | 1.40527e8 | − | 1.67474e8i | 0.274467 | − | 0.327097i | ||||
\(801\) | −1.90658e8 | − | 5.23828e8i | −0.370985 | − | 1.01927i | ||||
\(802\) | 4.14129e7 | + | 2.34864e8i | 0.0802810 | + | 0.455296i | ||||
\(803\) | −1.38320e7 | + | 7.84452e7i | −0.0267140 | + | 0.151503i | ||||
\(804\) | −1.53533e8 | − | 5.58813e7i | −0.295415 | − | 0.107522i | ||||
\(805\) | 6.90139e8 | + | 1.19536e9i | 1.32297 | + | 2.29145i | ||||
\(806\) | −5.02120e7 | − | 2.89899e7i | −0.0958964 | − | 0.0553658i | ||||
\(807\) | −5.81332e8 | + | 4.87795e8i | −1.10612 | + | 0.928148i | ||||
\(808\) | −2.21513e8 | − | 2.63989e8i | −0.419919 | − | 0.500440i | ||||
\(809\) | −8.91683e7 | + | 1.54444e8i | −0.168409 | + | 0.291693i | −0.937861 | − | 0.347012i | \(-0.887196\pi\) |
0.769452 | + | 0.638705i | \(0.220530\pi\) | |||||||
\(810\) | 9.37501e7 | − | 5.41266e7i | 0.176407 | − | 0.101849i | ||||
\(811\) | −1.20069e8 | + | 3.29886e8i | −0.225096 | + | 0.618445i | −0.999905 | − | 0.0137491i | \(-0.995623\pi\) |
0.774810 | + | 0.632194i | \(0.217846\pi\) | |||||||
\(812\) | 2.05088e8 | + | 3.61626e7i | 0.383065 | + | 0.0675447i | ||||
\(813\) | 8.66376e8 | − | 1.52765e8i | 1.61226 | − | 0.284285i | ||||
\(814\) | −8.02764e7 | + | 2.92182e7i | −0.148838 | + | 0.0541727i | ||||
\(815\) | −1.38332e8 | − | 1.16074e8i | −0.255534 | − | 0.214419i | ||||
\(816\) | 2.24891e8i | 0.413905i | ||||||||
\(817\) | 1.78260e8 | + | 4.60121e7i | 0.326879 | + | 0.0843735i | ||||
\(818\) | −2.22740e8 | −0.406947 | ||||||||
\(819\) | −2.88976e8 | + | 3.44388e8i | −0.526030 | + | 0.626898i | ||||
\(820\) | 5.63932e7 | + | 1.54939e8i | 0.102279 | + | 0.281008i | ||||
\(821\) | −8.52782e7 | − | 4.83637e8i | −0.154102 | − | 0.873957i | −0.959602 | − | 0.281361i | \(-0.909214\pi\) |
0.805500 | − | 0.592596i | \(-0.201897\pi\) | |||||||
\(822\) | 7.32780e7 | − | 4.15580e8i | 0.131934 | − | 0.748237i | ||||
\(823\) | −2.76280e8 | − | 1.00558e8i | −0.495621 | − | 0.180391i | 0.0821024 | − | 0.996624i | \(-0.473837\pi\) |
−0.577723 | + | 0.816233i | \(0.696059\pi\) | |||||||
\(824\) | −9.70794e7 | − | 1.68146e8i | −0.173518 | − | 0.300543i | ||||
\(825\) | 4.36789e8 | + | 2.52180e8i | 0.777875 | + | 0.449106i | ||||
\(826\) | −2.19163e8 | + | 1.83900e8i | −0.388891 | + | 0.326318i | ||||
\(827\) | 6.98725e7 | + | 8.32708e7i | 0.123535 | + | 0.147223i | 0.824267 | − | 0.566201i | \(-0.191588\pi\) |
−0.700732 | + | 0.713425i | \(0.747143\pi\) | |||||||
\(828\) | −1.95055e8 | + | 3.37845e8i | −0.343610 | + | 0.595150i | ||||
\(829\) | −8.84527e8 | + | 5.10682e8i | −1.55256 | + | 0.896369i | −0.554623 | + | 0.832102i | \(0.687138\pi\) |
−0.997933 | + | 0.0642672i | \(0.979529\pi\) | |||||||
\(830\) | 3.80561e8 | − | 1.04558e9i | 0.665564 | − | 1.82862i | ||||
\(831\) | 4.56990e7 | + | 8.05796e6i | 0.0796349 | + | 0.0140418i | ||||
\(832\) | 2.33036e7 | − | 4.10906e6i | 0.0404626 | − | 0.00713465i | ||||
\(833\) | −8.98034e8 | + | 3.26858e8i | −1.55367 | + | 0.565488i | ||||
\(834\) | 2.56122e7 | + | 2.14912e7i | 0.0441518 | + | 0.0370478i | ||||
\(835\) | − | 9.53749e7i | − | 0.163823i | ||||||
\(836\) | −2.82047e7 | + | 6.19664e7i | −0.0482728 | + | 0.106056i | ||||
\(837\) | 2.43386e8 | 0.415069 | ||||||||
\(838\) | −3.43279e8 | + | 4.09103e8i | −0.583330 | + | 0.695186i | ||||
\(839\) | 2.57087e8 | + | 7.06340e8i | 0.435305 | + | 1.19599i | 0.942514 | + | 0.334168i | \(0.108455\pi\) |
−0.507209 | + | 0.861823i | \(0.669323\pi\) | |||||||
\(840\) | 1.72805e8 | + | 9.80026e8i | 0.291554 | + | 1.65348i | ||||
\(841\) | 7.91864e7 | − | 4.49089e8i | 0.133126 | − | 0.754995i | ||||
\(842\) | −2.23966e8 | − | 8.15169e7i | −0.375185 | − | 0.136556i | ||||
\(843\) | −3.80959e8 | − | 6.59840e8i | −0.635910 | − | 1.10143i | ||||
\(844\) | 3.63813e8 | + | 2.10048e8i | 0.605134 | + | 0.349374i | ||||
\(845\) | 7.61892e8 | − | 6.39303e8i | 1.26277 | − | 1.05959i | ||||
\(846\) | 6.68525e8 | + | 7.96717e8i | 1.10410 | + | 1.31581i | ||||
\(847\) | −4.62708e8 | + | 8.01434e8i | −0.761477 | + | 1.31892i | ||||
\(848\) | 2.32129e8 | − | 1.34020e8i | 0.380664 | − | 0.219777i | ||||
\(849\) | −3.88323e8 | + | 1.06691e9i | −0.634556 | + | 1.74343i | ||||
\(850\) | −1.07182e9 | − | 1.88991e8i | −1.74528 | − | 0.307741i | ||||
\(851\) | 5.18618e8 | − | 9.14463e7i | 0.841509 | − | 0.148381i | ||||
\(852\) | −7.30167e8 | + | 2.65759e8i | −1.18060 | + | 0.429704i | ||||
\(853\) | 4.37613e8 | + | 3.67201e8i | 0.705088 | + | 0.591639i | 0.923216 | − | 0.384281i | \(-0.125551\pi\) |
−0.218128 | + | 0.975920i | \(0.569995\pi\) | |||||||
\(854\) | − | 6.41697e8i | − | 1.03028i | ||||||
\(855\) | 1.61148e9 | − | 7.69561e8i | 2.57826 | − | 1.23125i | ||||
\(856\) | −3.54437e8 | −0.565091 | ||||||||
\(857\) | 1.35870e8 | − | 1.61923e8i | 0.215864 | − | 0.257256i | −0.647236 | − | 0.762290i | \(-0.724075\pi\) |
0.863100 | + | 0.505033i | \(0.168520\pi\) | |||||||
\(858\) | 1.86712e7 | + | 5.12987e7i | 0.0295604 | + | 0.0812165i | ||||
\(859\) | 6.51843e6 | + | 3.69679e7i | 0.0102840 | + | 0.0583237i | 0.989518 | − | 0.144410i | \(-0.0461285\pi\) |
−0.979234 | + | 0.202734i | \(0.935017\pi\) | |||||||
\(860\) | 3.44550e7 | − | 1.95404e8i | 0.0541698 | − | 0.307212i | ||||
\(861\) | −4.98774e8 | − | 1.81539e8i | −0.781438 | − | 0.284420i | ||||
\(862\) | 1.39053e8 | + | 2.40848e8i | 0.217100 | + | 0.376028i | ||||
\(863\) | −1.14880e8 | − | 6.63260e7i | −0.178736 | − | 0.103193i | 0.407963 | − | 0.912999i | \(-0.366239\pi\) |
−0.586699 | + | 0.809805i | \(0.699573\pi\) | |||||||
\(864\) | −7.60932e7 | + | 6.38498e7i | −0.117979 | + | 0.0989961i | ||||
\(865\) | −7.26577e8 | − | 8.65901e8i | −1.12262 | − | 1.33789i | ||||
\(866\) | 800391. | − | 1.38632e6i | 0.00123239 | − | 0.00213456i | ||||
\(867\) | 6.90027e7 | − | 3.98387e7i | 0.105879 | − | 0.0611291i | ||||
\(868\) | 8.58055e7 | − | 2.35749e8i | 0.131207 | − | 0.360487i | ||||
\(869\) | −8.24275e7 | − | 1.45342e7i | −0.125607 | − | 0.0221479i | ||||
\(870\) | −6.53220e8 | + | 1.15180e8i | −0.991977 | + | 0.174912i | ||||
\(871\) | 8.04229e7 | − | 2.92715e7i | 0.121710 | − | 0.0442987i | ||||
\(872\) | 1.53215e8 | + | 1.28562e8i | 0.231074 | + | 0.193894i | ||||
\(873\) | 2.67962e8i | 0.402746i | ||||||||
\(874\) | 2.37556e8 | − | 3.45993e8i | 0.355822 | − | 0.518243i | ||||
\(875\) | −2.82216e9 | −4.21268 | ||||||||
\(876\) | 2.27560e8 | − | 2.71196e8i | 0.338520 | − | 0.403432i | ||||
\(877\) | −4.46619e8 | − | 1.22708e9i | −0.662122 | − | 1.81917i | −0.567029 | − | 0.823698i | \(-0.691907\pi\) |
−0.0950931 | − | 0.995468i | \(-0.530315\pi\) | |||||||
\(878\) | 1.20407e8 | + | 6.82861e8i | 0.177897 | + | 1.00890i | ||||
\(879\) | −1.94327e8 | + | 1.10208e9i | −0.286132 | + | 1.62274i | ||||
\(880\) | 6.89524e7 | + | 2.50966e7i | 0.101182 | + | 0.0368271i | ||||
\(881\) | 4.55972e7 | + | 7.89766e7i | 0.0666822 | + | 0.115497i | 0.897439 | − | 0.441139i | \(-0.145425\pi\) |
−0.830757 | + | 0.556636i | \(0.812092\pi\) | |||||||
\(882\) | −1.03508e9 | − | 5.97602e8i | −1.50858 | − | 0.870976i | ||||
\(883\) | 7.12424e8 | − | 5.97795e8i | 1.03480 | − | 0.868301i | 0.0433863 | − | 0.999058i | \(-0.486185\pi\) |
0.991414 | + | 0.130757i | \(0.0417409\pi\) | |||||||
\(884\) | −7.57213e7 | − | 9.02412e7i | −0.109613 | − | 0.130631i | ||||
\(885\) | 4.55620e8 | − | 7.89157e8i | 0.657314 | − | 1.13850i | ||||
\(886\) | −7.26928e7 | + | 4.19692e7i | −0.104518 | + | 0.0603434i | ||||
\(887\) | −3.31592e8 | + | 9.11042e8i | −0.475153 | + | 1.30547i | 0.438411 | + | 0.898775i | \(0.355542\pi\) |
−0.913563 | + | 0.406697i | \(0.866681\pi\) | |||||||
\(888\) | 3.73910e8 | + | 6.59304e7i | 0.533984 | + | 0.0941557i | ||||
\(889\) | 9.31948e8 | − | 1.64328e8i | 1.32644 | − | 0.233886i | ||||
\(890\) | 6.07378e8 | − | 2.21068e8i | 0.861567 | − | 0.313585i | ||||
\(891\) | 1.96841e7 | + | 1.65169e7i | 0.0278280 | + | 0.0233505i | ||||
\(892\) | − | 2.88090e8i | − | 0.405914i | ||||||
\(893\) | −6.50185e8 | − | 9.10624e8i | −0.913024 | − | 1.27875i | ||||
\(894\) | 6.94020e8 | 0.971313 | ||||||||
\(895\) | 2.67309e8 | − | 3.18566e8i | 0.372859 | − | 0.444356i | ||||
\(896\) | 3.50195e7 | + | 9.62154e7i | 0.0486840 | + | 0.133758i | ||||
\(897\) | −5.84366e7 | − | 3.31410e8i | −0.0809669 | − | 0.459186i | ||||
\(898\) | 1.43048e8 | − | 8.11263e8i | 0.197538 | − | 1.12030i | ||||
\(899\) | 1.57134e8 | + | 5.71922e7i | 0.216268 | + | 0.0787150i | ||||
\(900\) | −6.80575e8 | − | 1.17879e9i | −0.933574 | − | 1.61700i | ||||
\(901\) | −1.15560e9 | − | 6.67186e8i | −1.57991 | − | 0.912164i | ||||
\(902\) | −2.99812e7 | + | 2.51573e7i | −0.0408536 | + | 0.0342802i | ||||
\(903\) | 4.10575e8 | + | 4.89305e8i | 0.557609 | + | 0.664532i | ||||
\(904\) | −1.29381e8 | + | 2.24094e8i | −0.175131 | + | 0.303336i | ||||
\(905\) | 3.85594e8 | − | 2.22623e8i | 0.520217 | − | 0.300347i | ||||
\(906\) | −1.27054e8 | + | 3.49077e8i | −0.170845 | + | 0.469393i | ||||
\(907\) | −1.28631e8 | − | 2.26811e7i | −0.172395 | − | 0.0303978i | 0.0867844 | − | 0.996227i | \(-0.472341\pi\) |
−0.259179 | + | 0.965829i | \(0.583452\pi\) | |||||||
\(908\) | 2.44313e8 | − | 4.30791e7i | 0.326355 | − | 0.0575451i | ||||
\(909\) | −2.01619e9 | + | 7.33832e8i | −2.68435 | + | 0.977023i | ||||
\(910\) | −3.99318e8 | − | 3.35068e8i | −0.529901 | − | 0.444640i | ||||
\(911\) | 1.12621e9i | 1.48959i | 0.667296 | + | 0.744793i | \(0.267452\pi\) | ||||
−0.667296 | + | 0.744793i | \(0.732548\pi\) | |||||||
\(912\) | 2.46261e8 | − | 1.75830e8i | 0.324646 | − | 0.231797i | ||||
\(913\) | 2.64115e8 | 0.347041 | ||||||||
\(914\) | −3.46003e8 | + | 4.12351e8i | −0.453150 | + | 0.540043i | ||||
\(915\) | 6.99037e8 | + | 1.92059e9i | 0.912509 | + | 2.50710i | ||||
\(916\) | 6.00150e7 | + | 3.40362e8i | 0.0780860 | + | 0.442848i | ||||
\(917\) | 2.40172e8 | − | 1.36209e9i | 0.311469 | − | 1.76643i | ||||
\(918\) | 4.64682e8 | + | 1.69130e8i | 0.600659 | + | 0.218622i | ||||
\(919\) | −7.48024e8 | − | 1.29562e9i | −0.963760 | − | 1.66928i | −0.712909 | − | 0.701257i | \(-0.752623\pi\) |
−0.250851 | − | 0.968026i | \(-0.580711\pi\) | |||||||
\(920\) | −3.91731e8 | − | 2.26166e8i | −0.503066 | − | 0.290445i | ||||
\(921\) | −7.59742e8 | + | 6.37499e8i | −0.972495 | + | 0.816020i | ||||
\(922\) | 3.50121e8 | + | 4.17257e8i | 0.446709 | + | 0.532367i | ||||
\(923\) | 2.03510e8 | − | 3.52489e8i | 0.258810 | − | 0.448271i | ||||
\(924\) | −2.04568e8 | + | 1.18107e8i | −0.259311 | + | 0.149713i | ||||
\(925\) | −6.28444e8 | + | 1.72664e9i | −0.794039 | + | 2.18160i | ||||
\(926\) | 5.14190e8 | + | 9.06656e7i | 0.647576 | + | 0.114185i | ||||
\(927\) | −1.19048e9 | + | 2.09914e8i | −1.49445 | + | 0.263513i | ||||
\(928\) | −6.41307e7 | + | 2.33417e7i | −0.0802458 | + | 0.0292071i | ||||
\(929\) | 4.02994e8 | + | 3.38152e8i | 0.502633 | + | 0.421759i | 0.858528 | − | 0.512767i | \(-0.171379\pi\) |
−0.355895 | + | 0.934526i | \(0.615824\pi\) | |||||||
\(930\) | 7.99064e8i | 0.993420i | ||||||||
\(931\) | 1.06004e9 | + | 7.27816e8i | 1.31363 | + | 0.901930i | ||||
\(932\) | 1.44917e8 | 0.179008 | ||||||||
\(933\) | 2.31208e8 | − | 2.75543e8i | 0.284681 | − | 0.339269i | ||||
\(934\) | 1.68661e7 | + | 4.63392e7i | 0.0207001 | + | 0.0568732i | ||||
\(935\) | −6.34325e7 | − | 3.59744e8i | −0.0776028 | − | 0.440107i | ||||
\(936\) | 2.55833e7 | − | 1.45090e8i | 0.0311981 | − | 0.176933i | ||||
\(937\) | 9.39399e8 | + | 3.41913e8i | 1.14191 | + | 0.415621i | 0.842602 | − | 0.538536i | \(-0.181022\pi\) |
0.299307 | + | 0.954157i | \(0.403245\pi\) | |||||||
\(938\) | 1.85161e8 | + | 3.20709e8i | 0.224358 | + | 0.388599i | ||||
\(939\) | −6.22713e8 | − | 3.59524e8i | −0.752127 | − | 0.434241i | ||||
\(940\) | −9.23794e8 | + | 7.75155e8i | −1.11222 | + | 0.933265i | ||||
\(941\) | 1.10442e8 | + | 1.31619e8i | 0.132545 | + | 0.157961i | 0.828235 | − | 0.560381i | \(-0.189345\pi\) |
−0.695689 | + | 0.718343i | \(0.744901\pi\) | |||||||
\(942\) | −9.40278e7 | + | 1.62861e8i | −0.112487 | + | 0.194834i | ||||
\(943\) | 2.08939e8 | − | 1.20631e8i | 0.249164 | − | 0.143855i | ||||
\(944\) | 3.20669e7 | − | 8.81031e7i | 0.0381190 | − | 0.104731i | ||||
\(945\) | 2.15494e9 | + | 3.79975e8i | 2.55353 | + | 0.450256i | ||||
\(946\) | 4.63825e7 | − | 8.17849e6i | 0.0547874 | − | 0.00966050i | ||||
\(947\) | 1.09872e9 | − | 3.99902e8i | 1.29371 | − | 0.470873i | 0.398769 | − | 0.917051i | \(-0.369438\pi\) |
0.894944 | + | 0.446178i | \(0.147215\pi\) | |||||||
\(948\) | 2.84963e8 | + | 2.39112e8i | 0.334475 | + | 0.280658i | ||||
\(949\) | 1.85442e8i | 0.216975i | ||||||||
\(950\) | 6.31050e8 | + | 1.32143e9i | 0.736026 | + | 1.54125i | ||||
\(951\) | 1.64929e9 | 1.91759 | ||||||||
\(952\) | 3.27646e8 | − | 3.90473e8i | 0.379746 | − | 0.452564i | ||||
\(953\) | −2.42694e8 | − | 6.66797e8i | −0.280402 | − | 0.770398i | −0.997315 | − | 0.0732349i | \(-0.976668\pi\) |
0.716913 | − | 0.697163i | \(-0.245554\pi\) | |||||||
\(954\) | −2.89789e8 | − | 1.64348e9i | −0.333762 | − | 1.89286i | ||||
\(955\) | 1.38108e8 | − | 7.83252e8i | 0.158566 | − | 0.899272i | ||||
\(956\) | 2.98070e8 | + | 1.08489e8i | 0.341149 | + | 0.124168i | ||||
\(957\) | −7.87224e7 | − | 1.36351e8i | −0.0898179 | − | 0.155569i | ||||
\(958\) | 4.35306e8 | + | 2.51324e8i | 0.495106 | + | 0.285850i | ||||
\(959\) | −7.32694e8 | + | 6.14804e8i | −0.830744 | + | 0.697077i | ||||
\(960\) | −2.09626e8 | − | 2.49822e8i | −0.236936 | − | 0.282369i | ||||
\(961\) | −3.43029e8 | + | 5.94143e8i | −0.386510 | + | 0.669454i | ||||
\(962\) | −1.72237e8 | + | 9.94408e7i | −0.193464 | + | 0.111696i | ||||
\(963\) | −7.54752e8 | + | 2.07366e9i | −0.845134 | + | 2.32199i | ||||
\(964\) | −1.39807e8 | − | 2.46518e7i | −0.156062 | − | 0.0275180i | ||||
\(965\) | −7.40851e8 | + | 1.30632e8i | −0.824421 | + | 0.145368i | ||||
\(966\) | 1.36832e9 | − | 4.98027e8i | 1.51794 | − | 0.552486i | ||||
\(967\) | −3.95115e8 | − | 3.31541e8i | −0.436962 | − | 0.366655i | 0.397609 | − | 0.917555i | \(-0.369840\pi\) |
−0.834571 | + | 0.550900i | \(0.814284\pi\) | |||||||
\(968\) | − | 3.03269e8i | − | 0.334351i | ||||||
\(969\) | −1.37103e9 | − | 6.24041e8i | −1.50687 | − | 0.685870i | ||||
\(970\) | −3.10702e8 | −0.340431 | ||||||||
\(971\) | −1.90546e8 | + | 2.27084e8i | −0.208134 | + | 0.248044i | −0.860005 | − | 0.510286i | \(-0.829540\pi\) |
0.651872 | + | 0.758329i | \(0.273984\pi\) | |||||||
\(972\) | −1.75878e8 | − | 4.83222e8i | −0.191520 | − | 0.526196i | ||||
\(973\) | −1.31592e7 | − | 7.46293e7i | −0.0142853 | − | 0.0810160i | ||||
\(974\) | 1.71319e8 | − | 9.71596e8i | 0.185408 | − | 1.05150i | ||||
\(975\) | 1.10337e9 | + | 4.01592e8i | 1.19044 | + | 0.433283i | ||||
\(976\) | 1.05146e8 | + | 1.82118e8i | 0.113095 | + | 0.195886i | ||||
\(977\) | 3.56256e8 | + | 2.05684e8i | 0.382013 | + | 0.220555i | 0.678694 | − | 0.734421i | \(-0.262546\pi\) |
−0.296681 | + | 0.954977i | \(0.595880\pi\) | |||||||
\(978\) | −1.45934e8 | + | 1.22453e8i | −0.156005 | + | 0.130904i | ||||
\(979\) | 9.86192e7 | + | 1.17530e8i | 0.105103 | + | 0.125256i | ||||
\(980\) | 6.92920e8 | − | 1.20017e9i | 0.736215 | − | 1.27516i | ||||
\(981\) | 1.07843e9 | − | 6.22629e8i | 1.14231 | − | 0.659512i | ||||
\(982\) | −9.31243e7 | + | 2.55857e8i | −0.0983397 | + | 0.270186i | ||||
\(983\) | −4.48110e8 | − | 7.90139e7i | −0.471763 | − | 0.0831846i | −0.0672880 | − | 0.997734i | \(-0.521435\pi\) |
−0.404475 | + | 0.914549i | \(0.632546\pi\) | |||||||
\(984\) | 1.71301e8 | − | 3.02050e7i | 0.179794 | − | 0.0317026i | ||||
\(985\) | −1.85297e8 | + | 6.74424e7i | −0.193891 | + | 0.0705707i | ||||
\(986\) | 2.60263e8 | + | 2.18387e8i | 0.271508 | + | 0.227822i | ||||
\(987\) | − | 3.88208e9i | − | 4.03750i | ||||||
\(988\) | −3.96138e7 | + | 1.53471e8i | −0.0410748 | + | 0.159132i | ||||
\(989\) | −2.90333e8 | −0.300129 | ||||||||
\(990\) | 2.93660e8 | − | 3.49970e8i | 0.302649 | − | 0.360683i | ||||
\(991\) | −3.14635e8 | − | 8.64452e8i | −0.323285 | − | 0.888219i | −0.989766 | − | 0.142697i | \(-0.954423\pi\) |
0.666481 | − | 0.745522i | \(-0.267800\pi\) | |||||||
\(992\) | 1.42766e7 | + | 8.09666e7i | 0.0146248 | + | 0.0829413i | ||||
\(993\) | −5.74043e7 | + | 3.25556e8i | −0.0586268 | + | 0.332489i | ||||
\(994\) | 1.65496e9 | + | 6.02356e8i | 1.68511 | + | 0.613330i | ||||
\(995\) | 1.43743e9 | + | 2.48969e9i | 1.45920 | + | 2.52742i | ||||
\(996\) | −1.01657e9 | − | 5.86917e8i | −1.02887 | − | 0.594016i | ||||
\(997\) | 8.67457e8 | − | 7.27883e8i | 0.875311 | − | 0.734473i | −0.0898982 | − | 0.995951i | \(-0.528654\pi\) |
0.965210 | + | 0.261477i | \(0.0842097\pi\) | |||||||
\(998\) | 3.67882e8 | + | 4.38425e8i | 0.370099 | + | 0.441066i | ||||
\(999\) | 4.17430e8 | − | 7.23011e8i | 0.418685 | − | 0.725184i |
(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 | 38.7.f.a.3.6 | ✓ | 60 | |
19.13 | odd | 18 | inner | 38.7.f.a.13.6 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.7.f.a.3.6 | ✓ | 60 | 1.1 | even | 1 | trivial | |
38.7.f.a.13.6 | yes | 60 | 19.13 | odd | 18 | inner |