Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,10,Mod(4,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.4");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.e (of order \(14\), 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: | \(14.9360392488\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 4.16 | ||
Character | \(\chi\) | \(=\) | 29.4 |
Dual form | 29.10.e.a.22.16 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 25.0876 | + | 5.72609i | 1.10873 | + | 0.253060i | 0.737410 | − | 0.675446i | \(-0.236049\pi\) |
0.371318 | + | 0.928506i | \(0.378906\pi\) | |||||||
\(3\) | 18.6267 | + | 38.6787i | 0.132767 | + | 0.275693i | 0.956745 | − | 0.290929i | \(-0.0939642\pi\) |
−0.823978 | + | 0.566622i | \(0.808250\pi\) | |||||||
\(4\) | 135.306 | + | 65.1598i | 0.264269 | + | 0.127265i | ||||
\(5\) | −277.936 | + | 1217.72i | −0.198875 | + | 0.871329i | 0.772733 | + | 0.634732i | \(0.218889\pi\) |
−0.971608 | + | 0.236597i | \(0.923968\pi\) | |||||||
\(6\) | 245.822 | + | 1077.02i | 0.0774355 | + | 0.339267i | ||||
\(7\) | −7762.93 | + | 3738.43i | −1.22204 | + | 0.588502i | −0.929878 | − | 0.367868i | \(-0.880088\pi\) |
−0.292159 | + | 0.956370i | \(0.594374\pi\) | |||||||
\(8\) | −7279.40 | − | 5805.13i | −0.628334 | − | 0.501080i | ||||
\(9\) | 11123.1 | − | 13947.9i | 0.565110 | − | 0.708625i | ||||
\(10\) | −13945.5 | + | 28958.2i | −0.440997 | + | 0.915739i | ||||
\(11\) | −45950.1 | + | 36644.0i | −0.946279 | + | 0.754633i | −0.969498 | − | 0.245098i | \(-0.921180\pi\) |
0.0232189 | + | 0.999730i | \(0.492609\pi\) | |||||||
\(12\) | 6447.17i | 0.0897539i | ||||||||
\(13\) | 18195.7 | + | 22816.6i | 0.176694 | + | 0.221568i | 0.862290 | − | 0.506415i | \(-0.169030\pi\) |
−0.685596 | + | 0.727983i | \(0.740458\pi\) | |||||||
\(14\) | −216160. | + | 49337.2i | −1.50383 | + | 0.343240i | ||||
\(15\) | −52276.9 | + | 11931.9i | −0.266624 | + | 0.0608551i | ||||
\(16\) | −197323. | − | 247435.i | −0.752728 | − | 0.943891i | ||||
\(17\) | 374734.i | 1.08819i | 0.839025 | + | 0.544093i | \(0.183126\pi\) | ||||
−0.839025 | + | 0.544093i | \(0.816874\pi\) | |||||||
\(18\) | 358918. | − | 286228.i | 0.805878 | − | 0.642666i | ||||
\(19\) | −82253.5 | + | 170801.i | −0.144798 | + | 0.300677i | −0.960737 | − | 0.277462i | \(-0.910507\pi\) |
0.815938 | + | 0.578139i | \(0.196221\pi\) | |||||||
\(20\) | −116953. | + | 146654.i | −0.163446 | + | 0.204955i | ||||
\(21\) | −289195. | − | 230626.i | −0.324492 | − | 0.258774i | ||||
\(22\) | −1.36261e6 | + | 656197.i | −1.24013 | + | 0.597217i | ||||
\(23\) | −172424. | − | 755438.i | −0.128476 | − | 0.562890i | −0.997658 | − | 0.0683982i | \(-0.978211\pi\) |
0.869182 | − | 0.494492i | \(-0.164646\pi\) | |||||||
\(24\) | 88943.8 | − | 389688.i | 0.0547224 | − | 0.239754i | ||||
\(25\) | 354113. | + | 170532.i | 0.181306 | + | 0.0873123i | ||||
\(26\) | 325836. | + | 676606.i | 0.139836 | + | 0.290373i | ||||
\(27\) | 1.57048e6 | + | 358452.i | 0.568716 | + | 0.129806i | ||||
\(28\) | −1.29396e6 | −0.397842 | ||||||||
\(29\) | 988845. | + | 3.67822e6i | 0.259619 | + | 0.965711i | ||||
\(30\) | −1.37983e6 | −0.311013 | ||||||||
\(31\) | −9.75340e6 | − | 2.22615e6i | −1.89683 | − | 0.432939i | −0.896873 | − | 0.442288i | \(-0.854167\pi\) |
−0.999956 | + | 0.00934879i | \(0.997024\pi\) | |||||||
\(32\) | −1.46518e6 | − | 3.04247e6i | −0.247010 | − | 0.512922i | ||||
\(33\) | −2.27324e6 | − | 1.09474e6i | −0.333682 | − | 0.160693i | ||||
\(34\) | −2.14576e6 | + | 9.40120e6i | −0.275376 | + | 1.20650i | ||||
\(35\) | −2.39476e6 | − | 1.04921e7i | −0.269746 | − | 1.18183i | ||||
\(36\) | 2.41385e6 | − | 1.16245e6i | 0.239524 | − | 0.115349i | ||||
\(37\) | 1.63131e7 | + | 1.30092e7i | 1.43096 | + | 1.14115i | 0.966840 | + | 0.255381i | \(0.0822010\pi\) |
0.464120 | + | 0.885772i | \(0.346370\pi\) | |||||||
\(38\) | −3.04157e6 | + | 3.81401e6i | −0.236631 | + | 0.296726i | ||||
\(39\) | −543594. | + | 1.12878e6i | −0.0376256 | + | 0.0781304i | ||||
\(40\) | 9.09222e6 | − | 7.25081e6i | 0.561565 | − | 0.447833i | ||||
\(41\) | 1.53001e6i | 0.0845606i | 0.999106 | + | 0.0422803i | \(0.0134622\pi\) | ||||
−0.999106 | + | 0.0422803i | \(0.986538\pi\) | |||||||
\(42\) | −5.93465e6 | − | 7.44181e6i | −0.294288 | − | 0.369026i | ||||
\(43\) | 3.77903e7 | − | 8.62538e6i | 1.68567 | − | 0.384743i | 0.730991 | − | 0.682387i | \(-0.239058\pi\) |
0.954677 | + | 0.297644i | \(0.0962010\pi\) | |||||||
\(44\) | −8.60503e6 | + | 1.96404e6i | −0.346111 | + | 0.0789976i | ||||
\(45\) | 1.38931e7 | + | 1.74214e7i | 0.505060 | + | 0.633325i | ||||
\(46\) | − | 1.99395e7i | − | 0.656604i | ||||||
\(47\) | 2.46270e7 | − | 1.96394e7i | 0.736158 | − | 0.587066i | −0.181992 | − | 0.983300i | \(-0.558254\pi\) |
0.918150 | + | 0.396234i | \(0.129683\pi\) | |||||||
\(48\) | 5.89501e6 | − | 1.22411e7i | 0.160287 | − | 0.332840i | ||||
\(49\) | 2.11271e7 | − | 2.64926e7i | 0.523550 | − | 0.656511i | ||||
\(50\) | 7.90738e6 | + | 6.30593e6i | 0.178924 | + | 0.142687i | ||||
\(51\) | −1.44942e7 | + | 6.98006e6i | −0.300006 | + | 0.144475i | ||||
\(52\) | 975250. | + | 4.27285e6i | 0.0184970 | + | 0.0810406i | ||||
\(53\) | −457777. | + | 2.00565e6i | −0.00796916 | + | 0.0349152i | −0.978756 | − | 0.205028i | \(-0.934272\pi\) |
0.970787 | + | 0.239943i | \(0.0771287\pi\) | |||||||
\(54\) | 3.73471e7 | + | 1.79854e7i | 0.597703 | + | 0.287838i | ||||
\(55\) | −3.18509e7 | − | 6.61390e7i | −0.469342 | − | 0.974599i | ||||
\(56\) | 7.82115e7 | + | 1.78513e7i | 1.06273 | + | 0.242562i | ||||
\(57\) | −8.13849e6 | −0.102119 | ||||||||
\(58\) | 3.74594e6 | + | 9.79402e7i | 0.0434646 | + | 1.13641i | ||||
\(59\) | −7.44150e7 | −0.799514 | −0.399757 | − | 0.916621i | \(-0.630906\pi\) | ||||
−0.399757 | + | 0.916621i | \(0.630906\pi\) | |||||||
\(60\) | −7.85084e6 | − | 1.79190e6i | −0.0782052 | − | 0.0178498i | ||||
\(61\) | −4.82579e6 | − | 1.00209e7i | −0.0446256 | − | 0.0926661i | 0.877464 | − | 0.479643i | \(-0.159234\pi\) |
−0.922090 | + | 0.386977i | \(0.873519\pi\) | |||||||
\(62\) | −2.31943e8 | − | 1.11698e8i | −1.99351 | − | 0.960023i | ||||
\(63\) | −3.42044e7 | + | 1.49859e8i | −0.273558 | + | 1.19854i | ||||
\(64\) | 1.67206e7 | + | 7.32578e7i | 0.124578 | + | 0.545813i | ||||
\(65\) | −3.28415e7 | + | 1.58156e7i | −0.228199 | + | 0.109895i | ||||
\(66\) | −5.07617e7 | − | 4.04811e7i | −0.329298 | − | 0.262606i | ||||
\(67\) | −1.19588e8 | + | 1.49958e8i | −0.725020 | + | 0.909146i | −0.998610 | − | 0.0527001i | \(-0.983217\pi\) |
0.273590 | + | 0.961846i | \(0.411789\pi\) | |||||||
\(68\) | −2.44176e7 | + | 5.07037e7i | −0.138488 | + | 0.287574i | ||||
\(69\) | 2.60077e7 | − | 2.07405e7i | 0.138128 | − | 0.110153i | ||||
\(70\) | − | 2.76935e8i | − | 1.37860i | ||||||
\(71\) | −3.91074e7 | − | 4.90391e7i | −0.182640 | − | 0.229023i | 0.682080 | − | 0.731278i | \(-0.261076\pi\) |
−0.864720 | + | 0.502254i | \(0.832504\pi\) | |||||||
\(72\) | −1.61938e8 | + | 3.69614e7i | −0.710156 | + | 0.162088i | ||||
\(73\) | −3.04035e8 | + | 6.93940e7i | −1.25306 | + | 0.286002i | −0.797017 | − | 0.603957i | \(-0.793590\pi\) |
−0.456040 | + | 0.889959i | \(0.650733\pi\) | |||||||
\(74\) | 3.34764e8 | + | 4.19781e8i | 1.29777 | + | 1.62735i | ||||
\(75\) | 1.68731e7i | 0.0615770i | ||||||||
\(76\) | −2.22588e7 | + | 1.77508e7i | −0.0765314 | + | 0.0610318i | ||||
\(77\) | 2.19716e8 | − | 4.56246e8i | 0.712286 | − | 1.47908i | ||||
\(78\) | −2.01010e7 | + | 2.52059e7i | −0.0614882 | + | 0.0771038i | ||||
\(79\) | 3.44673e8 | + | 2.74868e8i | 0.995602 | + | 0.793966i | 0.978575 | − | 0.205889i | \(-0.0660087\pi\) |
0.0170263 | + | 0.999855i | \(0.494580\pi\) | |||||||
\(80\) | 3.56150e8 | − | 1.71513e8i | 0.972139 | − | 0.468157i | ||||
\(81\) | −6.27487e7 | − | 2.74920e8i | −0.161965 | − | 0.709616i | ||||
\(82\) | −8.76099e6 | + | 3.83844e7i | −0.0213989 | + | 0.0937546i | ||||
\(83\) | −6.33325e8 | − | 3.04993e8i | −1.46479 | − | 0.705405i | −0.479697 | − | 0.877434i | \(-0.659253\pi\) |
−0.985092 | + | 0.172029i | \(0.944968\pi\) | |||||||
\(84\) | −2.41023e7 | − | 5.00489e7i | −0.0528203 | − | 0.109683i | ||||
\(85\) | −4.56321e8 | − | 1.04152e8i | −0.948168 | − | 0.216413i | ||||
\(86\) | 9.97459e8 | 1.96631 | ||||||||
\(87\) | −1.23850e8 | + | 1.06760e8i | −0.231771 | + | 0.199790i | ||||
\(88\) | 5.47212e8 | 0.972711 | ||||||||
\(89\) | 3.78821e7 | + | 8.64633e6i | 0.0639998 | + | 0.0146075i | 0.254401 | − | 0.967099i | \(-0.418122\pi\) |
−0.190401 | + | 0.981706i | \(0.560979\pi\) | |||||||
\(90\) | 2.48789e8 | + | 5.16615e8i | 0.399705 | + | 0.829995i | ||||
\(91\) | −2.26550e8 | − | 1.09101e8i | −0.346320 | − | 0.166779i | ||||
\(92\) | 2.58943e7 | − | 1.13450e8i | 0.0376841 | − | 0.165105i | ||||
\(93\) | −9.55689e7 | − | 4.18715e8i | −0.132478 | − | 0.580424i | ||||
\(94\) | 7.30290e8 | − | 3.51689e8i | 0.964761 | − | 0.464605i | ||||
\(95\) | −1.85127e8 | − | 1.47634e8i | −0.233192 | − | 0.185964i | ||||
\(96\) | 9.03875e7 | − | 1.13342e8i | 0.108615 | − | 0.136198i | ||||
\(97\) | −6.29030e8 | + | 1.30619e9i | −0.721437 | + | 1.49808i | 0.139966 | + | 0.990156i | \(0.455301\pi\) |
−0.861403 | + | 0.507923i | \(0.830414\pi\) | |||||||
\(98\) | 6.81729e8 | − | 5.43661e8i | 0.746611 | − | 0.595403i | ||||
\(99\) | 1.04850e9i | 1.09701i | ||||||||
\(100\) | 3.68017e7 | + | 4.61479e7i | 0.0368017 | + | 0.0461479i | ||||
\(101\) | −9.05884e8 | + | 2.06762e8i | −0.866216 | + | 0.197708i | −0.632466 | − | 0.774588i | \(-0.717957\pi\) |
−0.233751 | + | 0.972297i | \(0.575100\pi\) | |||||||
\(102\) | −4.03595e8 | + | 9.21179e7i | −0.369186 | + | 0.0842642i | ||||
\(103\) | 1.40682e7 | + | 1.76410e7i | 0.0123161 | + | 0.0154439i | 0.787951 | − | 0.615737i | \(-0.211142\pi\) |
−0.775635 | + | 0.631181i | \(0.782570\pi\) | |||||||
\(104\) | − | 2.71720e8i | − | 0.227757i | ||||||
\(105\) | 3.61215e8 | − | 2.88060e8i | 0.290011 | − | 0.231276i | ||||
\(106\) | −2.29691e7 | + | 4.76958e7i | −0.0176713 | + | 0.0366948i | ||||
\(107\) | 5.26666e8 | − | 6.60418e8i | 0.388426 | − | 0.487071i | −0.548721 | − | 0.836006i | \(-0.684885\pi\) |
0.937147 | + | 0.348935i | \(0.113456\pi\) | |||||||
\(108\) | 1.89138e8 | + | 1.50833e8i | 0.133774 | + | 0.106681i | ||||
\(109\) | −2.36297e8 | + | 1.13795e8i | −0.160339 | + | 0.0772152i | −0.512332 | − | 0.858787i | \(-0.671218\pi\) |
0.351993 | + | 0.936003i | \(0.385504\pi\) | |||||||
\(110\) | −4.20345e8 | − | 1.84165e9i | −0.273741 | − | 1.19934i | ||||
\(111\) | −1.99322e8 | + | 8.73288e8i | −0.124624 | + | 0.546014i | ||||
\(112\) | 2.45682e9 | + | 1.18314e9i | 1.47534 | + | 0.710488i | ||||
\(113\) | −3.82995e8 | − | 7.95298e8i | −0.220974 | − | 0.458856i | 0.760781 | − | 0.649009i | \(-0.224816\pi\) |
−0.981755 | + | 0.190152i | \(0.939102\pi\) | |||||||
\(114\) | −2.04175e8 | − | 4.66017e7i | −0.113222 | − | 0.0258422i | ||||
\(115\) | 9.67835e8 | 0.516013 | ||||||||
\(116\) | −1.05876e8 | + | 5.62118e8i | −0.0542921 | + | 0.288248i | ||||
\(117\) | 5.20635e8 | 0.256860 | ||||||||
\(118\) | −1.86690e9 | − | 4.26107e8i | −0.886444 | − | 0.202325i | ||||
\(119\) | −1.40092e9 | − | 2.90903e9i | −0.640400 | − | 1.32980i | ||||
\(120\) | 4.49810e8 | + | 2.16617e8i | 0.198022 | + | 0.0953624i | ||||
\(121\) | 2.43938e8 | − | 1.06876e9i | 0.103453 | − | 0.453259i | ||||
\(122\) | −6.36874e7 | − | 2.79033e8i | −0.0260276 | − | 0.114034i | ||||
\(123\) | −5.91790e7 | + | 2.84991e7i | −0.0233128 | + | 0.0112268i | ||||
\(124\) | −1.17464e9 | − | 9.36740e8i | −0.446175 | − | 0.355813i | ||||
\(125\) | −1.82710e9 | + | 2.29111e9i | −0.669371 | + | 0.839364i | ||||
\(126\) | −1.71621e9 | + | 3.56376e9i | −0.606602 | + | 1.25962i | ||||
\(127\) | 2.93010e8 | − | 2.33667e8i | 0.0999459 | − | 0.0797042i | −0.572242 | − | 0.820085i | \(-0.693926\pi\) |
0.672188 | + | 0.740381i | \(0.265355\pi\) | |||||||
\(128\) | 3.66258e9i | 1.20598i | ||||||||
\(129\) | 1.03753e9 | + | 1.30102e9i | 0.329872 | + | 0.413647i | ||||
\(130\) | −9.14478e8 | + | 2.08724e8i | −0.280820 | + | 0.0640953i | ||||
\(131\) | 2.31614e9 | − | 5.28643e8i | 0.687137 | − | 0.156835i | 0.135323 | − | 0.990802i | \(-0.456793\pi\) |
0.551814 | + | 0.833967i | \(0.313936\pi\) | |||||||
\(132\) | −2.36250e8 | − | 2.96248e8i | −0.0677312 | − | 0.0849323i | ||||
\(133\) | − | 1.63342e9i | − | 0.452652i | ||||||
\(134\) | −3.85885e9 | + | 3.07733e9i | −1.03392 | + | 0.824522i | ||||
\(135\) | −8.72988e8 | + | 1.81278e9i | −0.226207 | + | 0.469724i | ||||
\(136\) | 2.17538e9 | − | 2.72784e9i | 0.545268 | − | 0.683744i | ||||
\(137\) | −5.23511e8 | − | 4.17486e8i | −0.126965 | − | 0.101251i | 0.557949 | − | 0.829875i | \(-0.311589\pi\) |
−0.684913 | + | 0.728624i | \(0.740160\pi\) | |||||||
\(138\) | 7.71234e8 | − | 3.71407e8i | 0.181022 | − | 0.0871754i | ||||
\(139\) | −8.29108e8 | − | 3.63256e9i | −0.188384 | − | 0.825365i | −0.977469 | − | 0.211080i | \(-0.932302\pi\) |
0.789085 | − | 0.614285i | \(-0.210555\pi\) | |||||||
\(140\) | 3.59640e8 | − | 1.57569e9i | 0.0791210 | − | 0.346652i | ||||
\(141\) | 1.21834e9 | + | 5.86724e8i | 0.259588 | + | 0.125011i | ||||
\(142\) | −7.00309e8 | − | 1.45421e9i | −0.144541 | − | 0.300143i | ||||
\(143\) | −1.67219e9 | − | 3.81665e8i | −0.334405 | − | 0.0763257i | ||||
\(144\) | −5.64603e9 | −1.09424 | ||||||||
\(145\) | −4.75388e9 | + | 1.81823e8i | −0.893084 | + | 0.0341580i | ||||
\(146\) | −8.02488e9 | −1.46167 | ||||||||
\(147\) | 1.41823e9 | + | 3.23701e8i | 0.250506 | + | 0.0571764i | ||||
\(148\) | 1.35957e9 | + | 2.82318e9i | 0.232929 | + | 0.483683i | ||||
\(149\) | 4.54436e9 | + | 2.18845e9i | 0.755326 | + | 0.363746i | 0.771589 | − | 0.636122i | \(-0.219462\pi\) |
−0.0162624 | + | 0.999868i | \(0.505177\pi\) | |||||||
\(150\) | −9.66168e7 | + | 4.23306e8i | −0.0155827 | + | 0.0682722i | ||||
\(151\) | 1.32423e9 | + | 5.80182e9i | 0.207284 | + | 0.908171i | 0.966365 | + | 0.257175i | \(0.0827916\pi\) |
−0.759081 | + | 0.650996i | \(0.774351\pi\) | |||||||
\(152\) | 1.59028e9 | − | 7.65838e8i | 0.241645 | − | 0.116370i | ||||
\(153\) | 5.22675e9 | + | 4.16819e9i | 0.771116 | + | 0.614945i | ||||
\(154\) | 8.12467e9 | − | 1.01880e10i | 1.16403 | − | 1.45964i | ||||
\(155\) | 5.42165e9 | − | 1.12582e10i | 0.754465 | − | 1.56666i | ||||
\(156\) | −1.47103e8 | + | 1.17310e8i | −0.0198866 | + | 0.0158590i | ||||
\(157\) | 8.55850e9i | 1.12422i | 0.827064 | + | 0.562108i | \(0.190009\pi\) | ||||
−0.827064 | + | 0.562108i | \(0.809991\pi\) | |||||||
\(158\) | 7.07312e9 | + | 8.86941e9i | 0.902930 | + | 1.13224i | ||||
\(159\) | −8.61030e7 | + | 1.96524e7i | −0.0106839 | + | 0.00243854i | ||||
\(160\) | 4.11210e9 | − | 9.38561e8i | 0.496048 | − | 0.113220i | ||||
\(161\) | 4.16267e9 | + | 5.21982e9i | 0.488265 | + | 0.612265i | ||||
\(162\) | − | 7.25640e9i | − | 0.827758i | ||||||
\(163\) | 9.71151e9 | − | 7.74467e9i | 1.07756 | − | 0.859328i | 0.0869758 | − | 0.996210i | \(-0.472280\pi\) |
0.990587 | + | 0.136883i | \(0.0437083\pi\) | |||||||
\(164\) | −9.96954e7 | + | 2.07020e8i | −0.0107616 | + | 0.0223467i | ||||
\(165\) | 1.96490e9 | − | 2.46390e9i | 0.206377 | − | 0.258789i | ||||
\(166\) | −1.41422e10 | − | 1.12780e10i | −1.44554 | − | 1.15278i | ||||
\(167\) | −1.98853e9 | + | 9.57625e8i | −0.197837 | + | 0.0952733i | −0.530179 | − | 0.847886i | \(-0.677875\pi\) |
0.332342 | + | 0.943159i | \(0.392161\pi\) | |||||||
\(168\) | 7.66357e8 | + | 3.35763e9i | 0.0742232 | + | 0.325193i | ||||
\(169\) | 2.17021e9 | − | 9.50829e9i | 0.204650 | − | 0.896628i | ||||
\(170\) | −1.08516e10 | − | 5.22587e9i | −0.996495 | − | 0.479887i | ||||
\(171\) | 1.46740e9 | + | 3.04709e9i | 0.131240 | + | 0.272523i | ||||
\(172\) | 5.67527e9 | + | 1.29534e9i | 0.494434 | + | 0.112851i | ||||
\(173\) | 1.45656e10 | 1.23629 | 0.618144 | − | 0.786065i | \(-0.287885\pi\) | ||||
0.618144 | + | 0.786065i | \(0.287885\pi\) | |||||||
\(174\) | −3.71843e9 | + | 1.96919e9i | −0.307530 | + | 0.162861i | ||||
\(175\) | −3.38648e9 | −0.272946 | ||||||||
\(176\) | 1.81340e10 | + | 4.13898e9i | 1.42458 | + | 0.325152i | ||||
\(177\) | −1.38610e9 | − | 2.87828e9i | −0.106149 | − | 0.220421i | ||||
\(178\) | 9.00862e8 | + | 4.33832e8i | 0.0672618 | + | 0.0323916i | ||||
\(179\) | −2.73096e9 | + | 1.19651e10i | −0.198828 | + | 0.871122i | 0.772808 | + | 0.634640i | \(0.218852\pi\) |
−0.971636 | + | 0.236482i | \(0.924006\pi\) | |||||||
\(180\) | 7.44641e8 | + | 3.26249e9i | 0.0528714 | + | 0.231645i | ||||
\(181\) | 5.30643e9 | − | 2.55544e9i | 0.367493 | − | 0.176975i | −0.241018 | − | 0.970521i | \(-0.577481\pi\) |
0.608511 | + | 0.793545i | \(0.291767\pi\) | |||||||
\(182\) | −5.05889e9 | − | 4.03433e9i | −0.341770 | − | 0.272552i | ||||
\(183\) | 2.97706e8 | − | 3.73311e8i | 0.0196226 | − | 0.0246060i | ||||
\(184\) | −3.13027e9 | + | 6.50008e9i | −0.201327 | + | 0.418060i | ||||
\(185\) | −2.03756e10 | + | 1.62490e10i | −1.27890 | + | 1.01989i | ||||
\(186\) | − | 1.10518e10i | − | 0.677057i | ||||||
\(187\) | −1.37318e10 | − | 1.72191e10i | −0.821181 | − | 1.02973i | ||||
\(188\) | 4.61187e9 | − | 1.05263e9i | 0.269257 | − | 0.0614561i | ||||
\(189\) | −1.35316e10 | + | 3.08849e9i | −0.771383 | + | 0.176063i | ||||
\(190\) | −3.79903e9 | − | 4.76383e9i | −0.211486 | − | 0.265195i | ||||
\(191\) | 2.42314e10i | 1.31743i | 0.752392 | + | 0.658715i | \(0.228900\pi\) | ||||
−0.752392 | + | 0.658715i | \(0.771100\pi\) | |||||||
\(192\) | −2.52207e9 | + | 2.01128e9i | −0.133937 | + | 0.106811i | ||||
\(193\) | 1.03151e10 | − | 2.14195e10i | 0.535137 | − | 1.11122i | −0.441685 | − | 0.897170i | \(-0.645619\pi\) |
0.976822 | − | 0.214053i | \(-0.0686666\pi\) | |||||||
\(194\) | −2.32603e10 | + | 2.91674e10i | −1.17898 | + | 1.47839i | ||||
\(195\) | −1.22346e9 | − | 9.75675e8i | −0.0605945 | − | 0.0483225i | ||||
\(196\) | 4.58488e9 | − | 2.20796e9i | 0.221909 | − | 0.106866i | ||||
\(197\) | 4.27417e9 | + | 1.87263e10i | 0.202187 | + | 0.885840i | 0.969602 | + | 0.244688i | \(0.0786857\pi\) |
−0.767415 | + | 0.641151i | \(0.778457\pi\) | |||||||
\(198\) | −6.00380e9 | + | 2.63044e10i | −0.277609 | + | 1.21628i | ||||
\(199\) | −1.81226e10 | − | 8.72737e9i | −0.819183 | − | 0.394498i | −0.0231361 | − | 0.999732i | \(-0.507365\pi\) |
−0.796047 | + | 0.605234i | \(0.793079\pi\) | |||||||
\(200\) | −1.58777e9 | − | 3.29704e9i | −0.0701702 | − | 0.145710i | ||||
\(201\) | −8.02772e9 | − | 1.83227e9i | −0.346904 | − | 0.0791787i | ||||
\(202\) | −2.39104e10 | −1.01043 | ||||||||
\(203\) | −2.14271e10 | − | 2.48571e10i | −0.885588 | − | 1.02735i | ||||
\(204\) | −2.41597e9 | −0.0976689 | ||||||||
\(205\) | −1.86313e9 | − | 4.25246e8i | −0.0736801 | − | 0.0168170i | ||||
\(206\) | 2.51925e8 | + | 5.23128e8i | 0.00974695 | + | 0.0202398i | ||||
\(207\) | −1.24546e10 | − | 5.99784e9i | −0.471482 | − | 0.227054i | ||||
\(208\) | 2.05522e9 | − | 9.00450e9i | 0.0761330 | − | 0.333561i | ||||
\(209\) | −2.47928e9 | − | 1.08624e10i | −0.0898809 | − | 0.393794i | ||||
\(210\) | 1.07115e10 | − | 5.15838e9i | 0.380070 | − | 0.183032i | ||||
\(211\) | 3.52047e10 | + | 2.80748e10i | 1.22273 | + | 0.975091i | 1.00000 | 0.000209904i | \(6.68146e-5\pi\) | |
0.222726 | + | 0.974881i | \(0.428505\pi\) | |||||||
\(212\) | −1.92628e8 | + | 2.41548e8i | −0.00654949 | + | 0.00821281i | ||||
\(213\) | 1.16833e9 | − | 2.42606e9i | 0.0388917 | − | 0.0807594i | ||||
\(214\) | 1.69944e10 | − | 1.35526e10i | 0.553917 | − | 0.441734i | ||||
\(215\) | 4.84153e10i | 1.54529i | ||||||||
\(216\) | −9.35129e9 | − | 1.17261e10i | −0.292301 | − | 0.366533i | ||||
\(217\) | 8.40372e10 | − | 1.91809e10i | 2.57278 | − | 0.587221i | ||||
\(218\) | −6.57974e9 | + | 1.50178e9i | −0.197312 | + | 0.0450352i | ||||
\(219\) | −8.34724e9 | − | 1.04671e10i | −0.245214 | − | 0.307488i | ||||
\(220\) | − | 1.10244e10i | − | 0.317287i | ||||||
\(221\) | −8.55018e9 | + | 6.81854e9i | −0.241107 | + | 0.192276i | ||||
\(222\) | −1.00010e10 | + | 2.07674e10i | −0.276349 | + | 0.573844i | ||||
\(223\) | 1.92665e10 | − | 2.41594e10i | 0.521713 | − | 0.654207i | −0.449259 | − | 0.893402i | \(-0.648312\pi\) |
0.970972 | + | 0.239195i | \(0.0768834\pi\) | |||||||
\(224\) | 2.27481e10 | + | 1.81410e10i | 0.603712 | + | 0.481444i | ||||
\(225\) | 6.31738e9 | − | 3.04229e9i | 0.164330 | − | 0.0791369i | ||||
\(226\) | −5.05450e9 | − | 2.21452e10i | −0.128881 | − | 0.564666i | ||||
\(227\) | −1.90633e9 | + | 8.35218e9i | −0.0476521 | + | 0.208777i | −0.993149 | − | 0.116853i | \(-0.962719\pi\) |
0.945497 | + | 0.325630i | \(0.105577\pi\) | |||||||
\(228\) | −1.10118e9 | − | 5.30302e8i | −0.0269869 | − | 0.0129962i | ||||
\(229\) | −6.92709e9 | − | 1.43842e10i | −0.166453 | − | 0.345643i | 0.801012 | − | 0.598648i | \(-0.204295\pi\) |
−0.967465 | + | 0.253006i | \(0.918581\pi\) | |||||||
\(230\) | 2.42807e10 | + | 5.54191e9i | 0.572118 | + | 0.130582i | ||||
\(231\) | 2.17396e10 | 0.502340 | ||||||||
\(232\) | 1.41544e10 | − | 3.25156e10i | 0.320770 | − | 0.736879i | ||||
\(233\) | −6.08502e10 | −1.35257 | −0.676286 | − | 0.736639i | \(-0.736412\pi\) | ||||
−0.676286 | + | 0.736639i | \(0.736412\pi\) | |||||||
\(234\) | 1.30615e10 | + | 2.98120e9i | 0.284788 | + | 0.0650011i | ||||
\(235\) | 1.70705e10 | + | 3.54472e10i | 0.365124 | + | 0.758188i | ||||
\(236\) | −1.00688e10 | − | 4.84887e9i | −0.211287 | − | 0.101750i | ||||
\(237\) | −4.21141e9 | + | 1.84514e10i | −0.0867082 | + | 0.379893i | ||||
\(238\) | −1.84883e10 | − | 8.10026e10i | −0.373509 | − | 1.63645i | ||||
\(239\) | −1.92393e10 | + | 9.26516e9i | −0.381416 | + | 0.183680i | −0.614760 | − | 0.788714i | \(-0.710747\pi\) |
0.233345 | + | 0.972394i | \(0.425033\pi\) | |||||||
\(240\) | 1.32678e10 | + | 1.05807e10i | 0.258136 | + | 0.205856i | ||||
\(241\) | 2.91463e10 | − | 3.65483e10i | 0.556554 | − | 0.697896i | −0.421363 | − | 0.906892i | \(-0.638448\pi\) |
0.977917 | + | 0.208996i | \(0.0670195\pi\) | |||||||
\(242\) | 1.22396e10 | − | 2.54159e10i | 0.229403 | − | 0.476361i | ||||
\(243\) | 3.42541e10 | − | 2.73167e10i | 0.630208 | − | 0.502574i | ||||
\(244\) | − | 1.67033e9i | − | 0.0301681i | ||||||
\(245\) | 2.63885e10 | + | 3.30902e10i | 0.467916 | + | 0.586748i | ||||
\(246\) | −1.64785e9 | + | 3.76111e8i | −0.0286886 | + | 0.00654799i | ||||
\(247\) | −5.39377e9 | + | 1.23109e9i | −0.0922053 | + | 0.0210453i | ||||
\(248\) | 5.80758e10 | + | 7.28247e10i | 0.974905 | + | 1.22249i | ||||
\(249\) | − | 3.01772e10i | − | 0.497487i | ||||||
\(250\) | −5.89567e10 | + | 4.70164e10i | −0.954559 | + | 0.761236i | ||||
\(251\) | 2.10967e9 | − | 4.38077e9i | 0.0335492 | − | 0.0696656i | −0.883521 | − | 0.468392i | \(-0.844833\pi\) |
0.917070 | + | 0.398727i | \(0.130548\pi\) | |||||||
\(252\) | −1.43928e10 | + | 1.80481e10i | −0.224825 | + | 0.281921i | ||||
\(253\) | 3.56052e10 | + | 2.83942e10i | 0.546350 | + | 0.435699i | ||||
\(254\) | 8.68892e9 | − | 4.18436e9i | 0.130983 | − | 0.0630780i | ||||
\(255\) | −4.47127e9 | − | 1.95899e10i | −0.0662217 | − | 0.290136i | ||||
\(256\) | −1.24113e10 | + | 5.43774e10i | −0.180608 | + | 0.791296i | ||||
\(257\) | −2.04690e10 | − | 9.85734e9i | −0.292683 | − | 0.140949i | 0.281781 | − | 0.959479i | \(-0.409075\pi\) |
−0.574463 | + | 0.818530i | \(0.694789\pi\) | |||||||
\(258\) | 1.85794e10 | + | 3.85804e10i | 0.261061 | + | 0.542099i | ||||
\(259\) | −1.75271e11 | − | 4.00045e10i | −2.42026 | − | 0.552408i | ||||
\(260\) | −5.47419e9 | −0.0742916 | ||||||||
\(261\) | 6.23024e10 | + | 2.71208e10i | 0.831041 | + | 0.361760i | ||||
\(262\) | 6.11335e10 | 0.801537 | ||||||||
\(263\) | −1.00214e11 | − | 2.28732e10i | −1.29160 | − | 0.294800i | −0.479101 | − | 0.877760i | \(-0.659037\pi\) |
−0.812501 | + | 0.582960i | \(0.801894\pi\) | |||||||
\(264\) | 1.01928e10 | + | 2.11655e10i | 0.129144 | + | 0.268170i | ||||
\(265\) | −2.31509e9 | − | 1.11489e9i | −0.0288377 | − | 0.0138875i | ||||
\(266\) | 9.35309e9 | − | 4.09786e10i | 0.114548 | − | 0.501868i | ||||
\(267\) | 3.71188e8 | + | 1.62628e9i | 0.00446986 | + | 0.0195837i | ||||
\(268\) | −2.59522e10 | + | 1.24979e10i | −0.307303 | + | 0.147989i | ||||
\(269\) | 1.48914e10 | + | 1.18755e10i | 0.173400 | + | 0.138282i | 0.706344 | − | 0.707868i | \(-0.250343\pi\) |
−0.532944 | + | 0.846150i | \(0.678914\pi\) | |||||||
\(270\) | −3.22813e10 | + | 4.04795e10i | −0.369670 | + | 0.463552i | ||||
\(271\) | 2.43811e10 | − | 5.06279e10i | 0.274594 | − | 0.570201i | −0.717374 | − | 0.696688i | \(-0.754656\pi\) |
0.991968 | + | 0.126488i | \(0.0403704\pi\) | |||||||
\(272\) | 9.27225e10 | − | 7.39437e10i | 1.02713 | − | 0.819108i | ||||
\(273\) | − | 1.07949e10i | − | 0.117621i | ||||||
\(274\) | −1.07431e10 | − | 1.34714e10i | −0.115147 | − | 0.144390i | ||||
\(275\) | −2.25205e10 | + | 5.14016e9i | −0.237455 | + | 0.0541975i | ||||
\(276\) | 4.87044e9 | − | 1.11165e9i | 0.0505216 | − | 0.0115312i | ||||
\(277\) | 3.14587e10 | + | 3.94479e10i | 0.321056 | + | 0.402592i | 0.916002 | − | 0.401174i | \(-0.131398\pi\) |
−0.594945 | + | 0.803766i | \(0.702826\pi\) | |||||||
\(278\) | − | 9.58799e10i | − | 0.962778i | ||||||
\(279\) | −1.39538e11 | + | 1.11278e11i | −1.37871 | + | 1.09948i | ||||
\(280\) | −4.34757e10 | + | 9.02781e10i | −0.422703 | + | 0.877751i | ||||
\(281\) | 7.59679e10 | − | 9.52607e10i | 0.726861 | − | 0.911455i | −0.271843 | − | 0.962342i | \(-0.587633\pi\) |
0.998704 | + | 0.0508865i | \(0.0162047\pi\) | |||||||
\(282\) | 2.72058e10 | + | 2.16959e10i | 0.256177 | + | 0.204294i | ||||
\(283\) | 1.15683e11 | − | 5.57100e10i | 1.07209 | − | 0.516291i | 0.187309 | − | 0.982301i | \(-0.440023\pi\) |
0.884779 | + | 0.466010i | \(0.154309\pi\) | |||||||
\(284\) | −2.09607e9 | − | 9.18350e9i | −0.0191194 | − | 0.0837675i | ||||
\(285\) | 2.26198e9 | − | 9.91039e9i | 0.0203089 | − | 0.0889793i | ||||
\(286\) | −3.97657e10 | − | 1.91502e10i | −0.351449 | − | 0.169249i | ||||
\(287\) | −5.71985e9 | − | 1.18774e10i | −0.0497641 | − | 0.103336i | ||||
\(288\) | −5.87333e10 | − | 1.34055e10i | −0.503058 | − | 0.114820i | ||||
\(289\) | −2.18378e10 | −0.184149 | ||||||||
\(290\) | −1.20305e11 | − | 2.26596e10i | −0.998831 | − | 0.188132i | ||||
\(291\) | −6.22386e10 | −0.508794 | ||||||||
\(292\) | −4.56594e10 | − | 1.04215e10i | −0.367542 | − | 0.0838891i | ||||
\(293\) | 9.86177e10 | + | 2.04782e11i | 0.781719 | + | 1.62326i | 0.782018 | + | 0.623256i | \(0.214191\pi\) |
−0.000299086 | 1.00000i | \(0.500095\pi\) | ||||||||
\(294\) | 3.37265e10 | + | 1.62418e10i | 0.263274 | + | 0.126786i | ||||
\(295\) | 2.06826e10 | − | 9.06165e10i | 0.159004 | − | 0.696640i | ||||
\(296\) | −4.32290e10 | − | 1.89399e11i | −0.327313 | − | 1.43405i | ||||
\(297\) | −8.52988e10 | + | 4.10778e10i | −0.636120 | + | 0.306339i | ||||
\(298\) | 1.01476e11 | + | 8.09244e10i | 0.745402 | + | 0.594438i | ||||
\(299\) | 1.40992e10 | − | 1.76798e10i | 0.102017 | − | 0.127926i | ||||
\(300\) | −1.09945e9 | + | 2.28303e9i | −0.00783662 | + | 0.0162729i | ||||
\(301\) | −2.61118e11 | + | 2.08235e11i | −1.83353 | + | 1.46219i | ||||
\(302\) | 1.53137e11i | 1.05937i | ||||||||
\(303\) | −2.48709e10 | − | 3.11871e10i | −0.169512 | − | 0.212561i | ||||
\(304\) | 5.84928e10 | − | 1.33506e10i | 0.392800 | − | 0.0896540i | ||||
\(305\) | 1.35439e10 | − | 3.09130e9i | 0.0896176 | − | 0.0204546i | ||||
\(306\) | 1.07259e11 | + | 1.34499e11i | 0.699340 | + | 0.876945i | ||||
\(307\) | − | 2.13908e11i | − | 1.37438i | −0.726480 | − | 0.687188i | \(-0.758845\pi\) | ||
0.726480 | − | 0.687188i | \(-0.241155\pi\) | |||||||
\(308\) | 5.94578e10 | − | 4.74160e10i | 0.376470 | − | 0.300225i | ||||
\(309\) | −4.20287e8 | + | 8.72736e8i | −0.00262261 | + | 0.00544590i | ||||
\(310\) | 2.00482e11 | − | 2.51396e11i | 1.23296 | − | 1.54608i | ||||
\(311\) | −6.16386e9 | − | 4.91551e9i | −0.0373621 | − | 0.0297953i | 0.604631 | − | 0.796506i | \(-0.293321\pi\) |
−0.641993 | + | 0.766711i | \(0.721892\pi\) | |||||||
\(312\) | 1.05098e10 | − | 5.06124e9i | 0.0627910 | − | 0.0302386i | ||||
\(313\) | 4.18715e10 | + | 1.83451e11i | 0.246586 | + | 1.08036i | 0.934889 | + | 0.354941i | \(0.115499\pi\) |
−0.688303 | + | 0.725424i | \(0.741644\pi\) | |||||||
\(314\) | −4.90068e10 | + | 2.14713e11i | −0.284494 | + | 1.24645i | ||||
\(315\) | −1.72980e11 | − | 8.33026e10i | −0.989915 | − | 0.476718i | ||||
\(316\) | 2.87259e10 | + | 5.96500e10i | 0.162062 | + | 0.336526i | ||||
\(317\) | −1.12518e11 | − | 2.56816e10i | −0.625831 | − | 0.142842i | −0.102168 | − | 0.994767i | \(-0.532578\pi\) |
−0.523663 | + | 0.851925i | \(0.675435\pi\) | |||||||
\(318\) | −2.27265e9 | −0.0124627 | ||||||||
\(319\) | −1.80222e11 | − | 1.32780e11i | −0.974430 | − | 0.717915i | ||||
\(320\) | −9.38547e10 | −0.500358 | ||||||||
\(321\) | 3.53542e10 | + | 8.06936e9i | 0.185852 | + | 0.0424196i | ||||
\(322\) | 7.45424e10 | + | 1.54789e11i | 0.386413 | + | 0.802395i | ||||
\(323\) | −6.40051e10 | − | 3.08232e10i | −0.327192 | − | 0.157567i | ||||
\(324\) | 9.42347e9 | − | 4.12869e10i | 0.0475071 | − | 0.208142i | ||||
\(325\) | 2.55236e9 | + | 1.11826e10i | 0.0126901 | + | 0.0555992i | ||||
\(326\) | 2.87986e11 | − | 1.38687e11i | 1.41219 | − | 0.680073i | ||||
\(327\) | −8.80287e9 | − | 7.02005e9i | −0.0425754 | − | 0.0339528i | ||||
\(328\) | 8.88192e9 | − | 1.11376e10i | 0.0423716 | − | 0.0531323i | ||||
\(329\) | −1.17757e11 | + | 2.44525e11i | −0.554122 | + | 1.15065i | ||||
\(330\) | 6.34032e10 | − | 5.05623e10i | 0.294305 | − | 0.234701i | ||||
\(331\) | 2.87135e11i | 1.31480i | 0.753541 | + | 0.657401i | \(0.228344\pi\) | ||||
−0.753541 | + | 0.657401i | \(0.771656\pi\) | |||||||
\(332\) | −6.58192e10 | − | 8.25346e10i | −0.297325 | − | 0.372833i | ||||
\(333\) | 3.62902e11 | − | 8.28301e10i | 1.61730 | − | 0.369138i | ||||
\(334\) | −5.53709e10 | + | 1.26381e10i | −0.243457 | + | 0.0555675i | ||||
\(335\) | −1.49369e11 | − | 1.87303e11i | −0.647977 | − | 0.812537i | ||||
\(336\) | 1.17065e11i | 0.501072i | ||||||||
\(337\) | 1.85943e11 | − | 1.48285e11i | 0.785319 | − | 0.626271i | −0.146493 | − | 0.989212i | \(-0.546799\pi\) |
0.931812 | + | 0.362941i | \(0.118227\pi\) | |||||||
\(338\) | 1.08891e11 | − | 2.26114e11i | 0.453801 | − | 0.942328i | ||||
\(339\) | 2.36272e10 | − | 2.96275e10i | 0.0971657 | − | 0.121842i | ||||
\(340\) | −5.49563e10 | − | 4.38262e10i | −0.223030 | − | 0.177860i | ||||
\(341\) | 5.29745e11 | − | 2.55112e11i | 2.12164 | − | 1.02173i | ||||
\(342\) | 1.93658e10 | + | 8.48469e10i | 0.0765450 | + | 0.335366i | ||||
\(343\) | 1.24016e10 | − | 5.43349e10i | 0.0483786 | − | 0.211961i | ||||
\(344\) | −3.25162e11 | − | 1.56590e11i | −1.25195 | − | 0.602907i | ||||
\(345\) | 1.80276e10 | + | 3.74346e10i | 0.0685095 | + | 0.142262i | ||||
\(346\) | 3.65416e11 | + | 8.34038e10i | 1.37071 | + | 0.312855i | ||||
\(347\) | 3.54228e11 | 1.31160 | 0.655799 | − | 0.754936i | \(-0.272332\pi\) | ||||
0.655799 | + | 0.754936i | \(0.272332\pi\) | |||||||
\(348\) | −2.37141e10 | + | 6.37525e9i | −0.0866763 | + | 0.0233019i | ||||
\(349\) | −2.69748e11 | −0.973292 | −0.486646 | − | 0.873599i | \(-0.661780\pi\) | ||||
−0.486646 | + | 0.873599i | \(0.661780\pi\) | |||||||
\(350\) | −8.49587e10 | − | 1.93913e10i | −0.302623 | − | 0.0690717i | ||||
\(351\) | 2.03973e10 | + | 4.23554e10i | 0.0717282 | + | 0.148945i | ||||
\(352\) | 1.78813e11 | + | 8.61120e10i | 0.620809 | + | 0.298966i | ||||
\(353\) | −1.54440e10 | + | 6.76648e10i | −0.0529389 | + | 0.231941i | −0.994475 | − | 0.104971i | \(-0.966525\pi\) |
0.941536 | + | 0.336911i | \(0.109382\pi\) | |||||||
\(354\) | −1.82928e10 | − | 8.01461e10i | −0.0619108 | − | 0.271249i | ||||
\(355\) | 7.05852e10 | − | 3.39920e10i | 0.235877 | − | 0.113593i | ||||
\(356\) | 4.56227e9 | + | 3.63829e9i | 0.0150541 | + | 0.0120053i | ||||
\(357\) | 8.64233e10 | − | 1.08371e11i | 0.281594 | − | 0.353108i | ||||
\(358\) | −1.37027e11 | + | 2.84539e11i | −0.440892 | + | 0.915522i | ||||
\(359\) | 1.71041e11 | − | 1.36401e11i | 0.543470 | − | 0.433403i | −0.312884 | − | 0.949791i | \(-0.601295\pi\) |
0.856355 | + | 0.516388i | \(0.172724\pi\) | |||||||
\(360\) | − | 2.07468e11i | − | 0.651015i | ||||||
\(361\) | 1.78785e11 | + | 2.24189e11i | 0.554050 | + | 0.694757i | ||||
\(362\) | 1.47759e11 | − | 3.37249e10i | 0.452235 | − | 0.103220i | ||||
\(363\) | 4.58821e10 | − | 1.04723e10i | 0.138696 | − | 0.0316564i | ||||
\(364\) | −2.35445e10 | − | 2.95239e10i | −0.0702965 | − | 0.0881491i | ||||
\(365\) | − | 3.89517e11i | − | 1.14870i | ||||||
\(366\) | 9.60634e9 | − | 7.66080e9i | 0.0279829 | − | 0.0223156i | ||||
\(367\) | −2.94433e11 | + | 6.11397e11i | −0.847207 | + | 1.75924i | −0.228643 | + | 0.973510i | \(0.573429\pi\) |
−0.618565 | + | 0.785734i | \(0.712285\pi\) | |||||||
\(368\) | −1.52899e11 | + | 1.91729e11i | −0.434600 | + | 0.544971i | ||||
\(369\) | 2.13404e10 | + | 1.70184e10i | 0.0599218 | + | 0.0477860i | ||||
\(370\) | −6.04219e11 | + | 2.90976e11i | −1.67605 | + | 0.807142i | ||||
\(371\) | −3.94430e9 | − | 1.72811e10i | −0.0108090 | − | 0.0473575i | ||||
\(372\) | 1.43524e10 | − | 6.28818e10i | 0.0388580 | − | 0.170248i | ||||
\(373\) | −5.22549e11 | − | 2.51646e11i | −1.39778 | − | 0.673133i | −0.425066 | − | 0.905162i | \(-0.639749\pi\) |
−0.972709 | + | 0.232029i | \(0.925464\pi\) | |||||||
\(374\) | −2.45899e11 | − | 5.10615e11i | −0.649883 | − | 1.34950i | ||||
\(375\) | −1.22650e11 | − | 2.79940e10i | −0.320278 | − | 0.0731013i | ||||
\(376\) | −2.93279e11 | −0.756720 | ||||||||
\(377\) | −6.59320e10 | + | 8.94899e10i | −0.168097 | + | 0.228159i | ||||
\(378\) | −3.57160e11 | −0.899808 | ||||||||
\(379\) | −1.48487e11 | − | 3.38911e10i | −0.369667 | − | 0.0843742i | 0.0336516 | − | 0.999434i | \(-0.489286\pi\) |
−0.403319 | + | 0.915059i | \(0.632143\pi\) | |||||||
\(380\) | −1.54289e10 | − | 3.20385e10i | −0.0379585 | − | 0.0788217i | ||||
\(381\) | 1.44958e10 | + | 6.98079e9i | 0.0352434 | + | 0.0169723i | ||||
\(382\) | −1.38751e11 | + | 6.07908e11i | −0.333389 | + | 1.46067i | ||||
\(383\) | 1.09638e11 | + | 4.80355e11i | 0.260355 | + | 1.14069i | 0.920868 | + | 0.389876i | \(0.127482\pi\) |
−0.660512 | + | 0.750815i | \(0.729661\pi\) | |||||||
\(384\) | −1.41664e11 | + | 6.82217e10i | −0.332482 | + | 0.160115i | ||||
\(385\) | 4.94512e11 | + | 3.94360e11i | 1.14711 | + | 0.914787i | ||||
\(386\) | 3.81431e11 | − | 4.78300e11i | 0.874527 | − | 1.09662i | ||||
\(387\) | 3.00038e11 | − | 6.23035e11i | 0.679949 | − | 1.41193i | ||||
\(388\) | −1.70223e11 | + | 1.35748e11i | −0.381307 | + | 0.304082i | ||||
\(389\) | 5.74770e11i | 1.27268i | 0.771407 | + | 0.636342i | \(0.219553\pi\) | ||||
−0.771407 | + | 0.636342i | \(0.780447\pi\) | |||||||
\(390\) | −2.51069e10 | − | 3.14830e10i | −0.0549543 | − | 0.0689105i | ||||
\(391\) | 2.83089e11 | − | 6.46131e10i | 0.612529 | − | 0.139806i | ||||
\(392\) | −3.07586e11 | + | 7.02044e10i | −0.657929 | + | 0.150168i | ||||
\(393\) | 6.35892e10 | + | 7.97384e10i | 0.134467 | + | 0.168617i | ||||
\(394\) | 4.94274e11i | 1.03332i | ||||||||
\(395\) | −4.30509e11 | + | 3.43319e11i | −0.889806 | + | 0.709597i | ||||
\(396\) | −6.83200e10 | + | 1.41868e11i | −0.139611 | + | 0.289905i | ||||
\(397\) | 2.92069e11 | − | 3.66243e11i | 0.590104 | − | 0.739967i | −0.393695 | − | 0.919241i | \(-0.628803\pi\) |
0.983799 | + | 0.179274i | \(0.0573749\pi\) | |||||||
\(398\) | −4.04679e11 | − | 3.22721e11i | −0.808420 | − | 0.644693i | ||||
\(399\) | 6.31785e10 | − | 3.04252e10i | 0.124793 | − | 0.0600973i | ||||
\(400\) | −2.76791e10 | − | 1.21270e11i | −0.0540607 | − | 0.236855i | ||||
\(401\) | −1.59981e11 | + | 7.00920e11i | −0.308971 | + | 1.35369i | 0.547202 | + | 0.837000i | \(0.315693\pi\) |
−0.856173 | + | 0.516689i | \(0.827164\pi\) | |||||||
\(402\) | −1.90905e11 | − | 9.19349e10i | −0.364586 | − | 0.175575i | ||||
\(403\) | −1.26676e11 | − | 2.63046e11i | −0.239234 | − | 0.496774i | ||||
\(404\) | −1.36044e11 | − | 3.10511e10i | −0.254076 | − | 0.0579911i | ||||
\(405\) | 3.52215e11 | 0.650520 | ||||||||
\(406\) | −3.95222e11 | − | 7.46299e11i | −0.721895 | − | 1.36316i | ||||
\(407\) | −1.22630e12 | −2.21524 | ||||||||
\(408\) | 1.46029e11 | + | 3.33303e10i | 0.260897 | + | 0.0595481i | ||||
\(409\) | 7.42693e10 | + | 1.54222e11i | 0.131236 | + | 0.272515i | 0.956224 | − | 0.292635i | \(-0.0945323\pi\) |
−0.824988 | + | 0.565151i | \(0.808818\pi\) | |||||||
\(410\) | −4.43065e10 | − | 2.13369e10i | −0.0774354 | − | 0.0372909i | ||||
\(411\) | 6.39655e9 | − | 2.80251e10i | 0.0110575 | − | 0.0484462i | ||||
\(412\) | 7.54029e8 | + | 3.30362e9i | 0.00128929 | + | 0.00564875i | ||||
\(413\) | 5.77678e11 | − | 2.78195e11i | 0.977036 | − | 0.470516i | ||||
\(414\) | −2.78113e11 | − | 2.21788e11i | −0.465287 | − | 0.371054i | ||||
\(415\) | 5.47420e11 | − | 6.86443e11i | 0.905950 | − | 1.13603i | ||||
\(416\) | 4.27591e10 | − | 8.87902e10i | 0.0700017 | − | 0.145360i | ||||
\(417\) | 1.25059e11 | − | 9.97314e10i | 0.202537 | − | 0.161518i | ||||
\(418\) | − | 2.86709e11i | − | 0.459355i | ||||||
\(419\) | 2.97267e11 | + | 3.72761e11i | 0.471177 | + | 0.590837i | 0.959459 | − | 0.281849i | \(-0.0909476\pi\) |
−0.488282 | + | 0.872686i | \(0.662376\pi\) | |||||||
\(420\) | 6.76444e10 | − | 1.54394e10i | 0.106074 | − | 0.0242108i | ||||
\(421\) | 1.09980e12 | − | 2.51023e11i | 1.70626 | − | 0.389443i | 0.745430 | − | 0.666583i | \(-0.232244\pi\) |
0.960829 | + | 0.277141i | \(0.0893868\pi\) | |||||||
\(422\) | 7.22443e11 | + | 9.05915e11i | 1.10891 | + | 1.39053i | ||||
\(423\) | − | 5.61944e11i | − | 0.853417i | ||||||
\(424\) | 1.49754e10 | − | 1.19425e10i | 0.0225026 | − | 0.0179452i | ||||
\(425\) | −6.39041e10 | + | 1.32698e11i | −0.0950121 | + | 0.197295i | ||||
\(426\) | 4.32024e10 | − | 5.41741e10i | 0.0635573 | − | 0.0796983i | ||||
\(427\) | 7.49246e10 | + | 5.97503e10i | 0.109068 | + | 0.0869791i | ||||
\(428\) | 1.14294e11 | − | 5.50409e10i | 0.164636 | − | 0.0792846i | ||||
\(429\) | −1.63850e10 | − | 7.17872e10i | −0.0233554 | − | 0.102327i | ||||
\(430\) | −2.77230e11 | + | 1.21462e12i | −0.391050 | + | 1.71330i | ||||
\(431\) | 2.49331e11 | + | 1.20072e11i | 0.348040 | + | 0.167607i | 0.599734 | − | 0.800200i | \(-0.295273\pi\) |
−0.251694 | + | 0.967807i | \(0.580988\pi\) | |||||||
\(432\) | −2.21198e11 | − | 4.59323e11i | −0.305566 | − | 0.634514i | ||||
\(433\) | 4.21510e10 | + | 9.62070e9i | 0.0576252 | + | 0.0131526i | 0.251236 | − | 0.967926i | \(-0.419163\pi\) |
−0.193611 | + | 0.981078i | \(0.562020\pi\) | |||||||
\(434\) | 2.21813e12 | 3.00112 | ||||||||
\(435\) | −9.55817e10 | − | 1.80487e11i | −0.127989 | − | 0.241682i | ||||
\(436\) | −3.93872e10 | −0.0521994 | ||||||||
\(437\) | 1.43212e11 | + | 3.26873e10i | 0.187851 | + | 0.0428758i | ||||
\(438\) | −1.49477e11 | − | 3.10392e11i | −0.194062 | − | 0.402974i | ||||
\(439\) | 4.58201e11 | + | 2.20658e11i | 0.588797 | + | 0.283550i | 0.704466 | − | 0.709738i | \(-0.251187\pi\) |
−0.115668 | + | 0.993288i | \(0.536901\pi\) | |||||||
\(440\) | −1.52090e11 | + | 6.66351e11i | −0.193448 | + | 0.847551i | ||||
\(441\) | −1.34517e11 | − | 5.89358e11i | −0.169357 | − | 0.742002i | ||||
\(442\) | −2.53547e11 | + | 1.22102e11i | −0.315979 | + | 0.152168i | ||||
\(443\) | −7.99292e11 | − | 6.37414e11i | −0.986027 | − | 0.786331i | −0.00911218 | − | 0.999958i | \(-0.502901\pi\) |
−0.976915 | + | 0.213628i | \(0.931472\pi\) | |||||||
\(444\) | −8.38727e10 | + | 1.05173e11i | −0.102423 | + | 0.128434i | ||||
\(445\) | −2.10576e10 | + | 4.37266e10i | −0.0254559 | + | 0.0528598i | ||||
\(446\) | 6.21691e11 | − | 4.95782e11i | 0.743991 | − | 0.593313i | ||||
\(447\) | 2.16534e11i | 0.256532i | ||||||||
\(448\) | −4.03670e11 | − | 5.06186e11i | −0.473451 | − | 0.593689i | ||||
\(449\) | 4.51942e11 | − | 1.03153e11i | 0.524776 | − | 0.119777i | 0.0480777 | − | 0.998844i | \(-0.484691\pi\) |
0.476698 | + | 0.879067i | \(0.341833\pi\) | |||||||
\(450\) | 1.75909e11 | − | 4.01500e10i | 0.202223 | − | 0.0461561i | ||||
\(451\) | −5.60658e10 | − | 7.03043e10i | −0.0638122 | − | 0.0800179i | ||||
\(452\) | − | 1.32564e11i | − | 0.149384i | ||||||
\(453\) | −1.99741e11 | + | 1.59288e11i | −0.222856 | + | 0.177722i | ||||
\(454\) | −9.56507e10 | + | 1.98621e11i | −0.105666 | + | 0.219418i | ||||
\(455\) | 1.95821e11 | − | 2.45551e11i | 0.214194 | − | 0.268591i | ||||
\(456\) | 5.92433e10 | + | 4.72449e10i | 0.0641649 | + | 0.0511698i | ||||
\(457\) | −5.47543e11 | + | 2.63683e11i | −0.587213 | + | 0.282787i | −0.703805 | − | 0.710393i | \(-0.748517\pi\) |
0.116592 | + | 0.993180i | \(0.462803\pi\) | |||||||
\(458\) | −9.14188e10 | − | 4.00532e11i | −0.0970825 | − | 0.425346i | ||||
\(459\) | −1.34324e11 | + | 5.88513e11i | −0.141253 | + | 0.618869i | ||||
\(460\) | 1.30954e11 | + | 6.30639e10i | 0.136366 | + | 0.0656706i | ||||
\(461\) | 6.19125e11 | + | 1.28563e12i | 0.638446 | + | 1.32575i | 0.929423 | + | 0.369016i | \(0.120305\pi\) |
−0.290978 | + | 0.956730i | \(0.593980\pi\) | |||||||
\(462\) | 5.45395e11 | + | 1.24483e11i | 0.556958 | + | 0.127122i | ||||
\(463\) | −9.25166e11 | −0.935632 | −0.467816 | − | 0.883826i | \(-0.654959\pi\) | ||||
−0.467816 | + | 0.883826i | \(0.654959\pi\) | |||||||
\(464\) | 7.15001e11 | − | 9.70474e11i | 0.716103 | − | 0.971970i | ||||
\(465\) | 5.36439e11 | 0.532086 | ||||||||
\(466\) | −1.52659e12 | − | 3.48434e11i | −1.49963 | − | 0.342282i | ||||
\(467\) | −4.47397e11 | − | 9.29029e11i | −0.435278 | − | 0.903864i | −0.997063 | − | 0.0765813i | \(-0.975600\pi\) |
0.561785 | − | 0.827283i | \(-0.310115\pi\) | |||||||
\(468\) | 7.04449e10 | + | 3.39245e10i | 0.0678802 | + | 0.0326894i | ||||
\(469\) | 3.67743e11 | − | 1.61119e12i | 0.350967 | − | 1.53769i | ||||
\(470\) | 2.25284e11 | + | 9.87035e11i | 0.212956 | + | 0.933023i | ||||
\(471\) | −3.31032e11 | + | 1.59417e11i | −0.309939 | + | 0.149259i | ||||
\(472\) | 5.41696e11 | + | 4.31988e11i | 0.502362 | + | 0.400620i | ||||
\(473\) | −1.42040e12 | + | 1.78112e12i | −1.30477 | + | 1.63613i | ||||
\(474\) | −2.11309e11 | + | 4.38787e11i | −0.192272 | + | 0.399256i | ||||
\(475\) | −5.82541e10 | + | 4.64561e10i | −0.0525056 | + | 0.0418718i | ||||
\(476\) | − | 4.84893e11i | − | 0.432927i | ||||||
\(477\) | 2.28827e10 | + | 2.86940e10i | 0.0202383 | + | 0.0253781i | ||||
\(478\) | −5.35722e11 | + | 1.22275e11i | −0.469368 | + | 0.107130i | ||||
\(479\) | −9.85242e11 | + | 2.24875e11i | −0.855132 | + | 0.195178i | −0.627546 | − | 0.778580i | \(-0.715940\pi\) |
−0.227586 | + | 0.973758i | \(0.573083\pi\) | |||||||
\(480\) | 1.12897e11 | + | 1.41569e11i | 0.0970728 | + | 0.121725i | ||||
\(481\) | 6.08921e11i | 0.518690i | ||||||||
\(482\) | 9.40492e11 | − | 7.50017e11i | 0.793676 | − | 0.632936i | ||||
\(483\) | −1.24359e11 | + | 2.58235e11i | −0.103972 | + | 0.215900i | ||||
\(484\) | 1.02646e11 | − | 1.28715e11i | 0.0850237 | − | 0.106616i | ||||
\(485\) | −1.41575e12 | − | 1.12902e12i | −1.16184 | − | 0.926539i | ||||
\(486\) | 1.01577e12 | − | 4.89170e11i | 0.825910 | − | 0.397737i | ||||
\(487\) | 5.73334e10 | + | 2.51194e11i | 0.0461878 | + | 0.202362i | 0.992757 | − | 0.120138i | \(-0.0383338\pi\) |
−0.946569 | + | 0.322500i | \(0.895477\pi\) | |||||||
\(488\) | −2.30435e10 | + | 1.00960e11i | −0.0183933 | + | 0.0805862i | ||||
\(489\) | 4.80447e11 | + | 2.31371e11i | 0.379976 | + | 0.182987i | ||||
\(490\) | 4.72549e11 | + | 9.81258e11i | 0.370309 | + | 0.768955i | ||||
\(491\) | −1.97916e12 | − | 4.51731e11i | −1.53679 | − | 0.350763i | −0.631440 | − | 0.775424i | \(-0.717536\pi\) |
−0.905352 | + | 0.424662i | \(0.860393\pi\) | |||||||
\(492\) | −9.86425e9 | −0.00758964 | ||||||||
\(493\) | −1.37836e12 | + | 3.70554e11i | −1.05087 | + | 0.282514i | ||||
\(494\) | −1.42366e11 | −0.107556 | ||||||||
\(495\) | −1.27678e12 | − | 2.91416e11i | −0.955855 | − | 0.218168i | ||||
\(496\) | 1.37374e12 | + | 2.85261e12i | 1.01915 | + | 2.11629i | ||||
\(497\) | 4.86917e11 | + | 2.34487e11i | 0.357974 | + | 0.172391i | ||||
\(498\) | 1.72797e11 | − | 7.57075e11i | 0.125894 | − | 0.551578i | ||||
\(499\) | −1.51883e11 | − | 6.65444e11i | −0.109662 | − | 0.480462i | −0.999698 | − | 0.0245714i | \(-0.992178\pi\) |
0.890036 | − | 0.455891i | \(-0.150679\pi\) | |||||||
\(500\) | −3.96505e11 | + | 1.90947e11i | −0.283716 | + | 0.136630i | ||||
\(501\) | −7.40794e10 | − | 5.90764e10i | −0.0525325 | − | 0.0418932i | ||||
\(502\) | 7.80112e10 | − | 9.78230e10i | 0.0548265 | − | 0.0687502i | ||||
\(503\) | −7.08203e11 | + | 1.47060e12i | −0.493289 | + | 1.02433i | 0.494594 | + | 0.869124i | \(0.335317\pi\) |
−0.987883 | + | 0.155201i | \(0.950397\pi\) | |||||||
\(504\) | 1.11894e12 | − | 8.92324e11i | 0.772447 | − | 0.616006i | ||||
\(505\) | − | 1.16058e12i | − | 0.794079i | ||||||
\(506\) | 7.30662e11 | + | 9.16222e11i | 0.495495 | + | 0.621331i | ||||
\(507\) | 4.08192e11 | − | 9.31673e10i | 0.274365 | − | 0.0626221i | ||||
\(508\) | 5.48716e10 | − | 1.25241e10i | 0.0365562 | − | 0.00834371i | ||||
\(509\) | −5.32349e10 | − | 6.67544e10i | −0.0351533 | − | 0.0440809i | 0.763944 | − | 0.645282i | \(-0.223260\pi\) |
−0.799097 | + | 0.601202i | \(0.794689\pi\) | |||||||
\(510\) | − | 5.17068e11i | − | 0.338440i | ||||||
\(511\) | 2.10078e12 | − | 1.67531e12i | 1.36297 | − | 1.08693i | ||||
\(512\) | 1.90896e11 | − | 3.96399e11i | 0.122767 | − | 0.254928i | ||||
\(513\) | −1.90402e11 | + | 2.38756e11i | −0.121379 | + | 0.152204i | ||||
\(514\) | −4.57074e11 | − | 3.64505e11i | −0.288837 | − | 0.230340i | ||||
\(515\) | −2.53919e10 | + | 1.22281e10i | −0.0159061 | + | 0.00765995i | ||||
\(516\) | 5.56093e10 | + | 2.43640e11i | 0.0345321 | + | 0.151295i | ||||
\(517\) | −4.11948e11 | + | 1.80486e12i | −0.253592 | + | 1.11106i | ||||
\(518\) | −4.16807e12 | − | 2.00724e12i | −2.54362 | − | 1.22494i | ||||
\(519\) | 2.71308e11 | + | 5.63378e11i | 0.164138 | + | 0.340837i | ||||
\(520\) | 3.30878e11 | + | 7.55208e10i | 0.198451 | + | 0.0452951i | ||||
\(521\) | 4.20735e11 | 0.250172 | 0.125086 | − | 0.992146i | \(-0.460079\pi\) | ||||
0.125086 | + | 0.992146i | \(0.460079\pi\) | |||||||
\(522\) | 1.40772e12 | + | 1.03715e12i | 0.829851 | + | 0.611396i | ||||
\(523\) | −2.30931e11 | −0.134966 | −0.0674831 | − | 0.997720i | \(-0.521497\pi\) | ||||
−0.0674831 | + | 0.997720i | \(0.521497\pi\) | |||||||
\(524\) | 3.47833e11 | + | 7.93906e10i | 0.201549 | + | 0.0460022i | ||||
\(525\) | −6.30788e10 | − | 1.30985e11i | −0.0362382 | − | 0.0752494i | ||||
\(526\) | −2.38316e12 | − | 1.14767e12i | −1.35743 | − | 0.653705i | ||||
\(527\) | 8.34214e11 | − | 3.65493e12i | 0.471118 | − | 2.06410i | ||||
\(528\) | 1.77687e11 | + | 7.78497e11i | 0.0994953 | + | 0.435917i | ||||
\(529\) | 1.08183e12 | − | 5.20980e11i | 0.600629 | − | 0.289248i | ||||
\(530\) | −5.16962e10 | − | 4.12263e10i | −0.0284588 | − | 0.0226952i | ||||
\(531\) | −8.27722e11 | + | 1.03793e12i | −0.451813 | + | 0.566556i | ||||
\(532\) | 1.06433e11 | − | 2.21011e11i | 0.0576069 | − | 0.119622i | ||||
\(533\) | −3.49098e10 | + | 2.78396e10i | −0.0187359 | + | 0.0149414i | ||||
\(534\) | 4.29250e10i | 0.0228442i | ||||||||
\(535\) | 6.57825e11 | + | 8.24886e11i | 0.347151 | + | 0.435313i | ||||
\(536\) | 1.74105e12 | − | 3.97384e11i | 0.911109 | − | 0.207955i | ||||
\(537\) | −5.13665e11 | + | 1.17241e11i | −0.266560 | + | 0.0608407i | ||||
\(538\) | 3.05589e11 | + | 3.83196e11i | 0.157260 | + | 0.197197i | ||||
\(539\) | 1.99152e12i | 1.01633i | ||||||||
\(540\) | −2.36240e11 | + | 1.88395e11i | −0.119559 | + | 0.0953451i | ||||
\(541\) | −6.16611e11 | + | 1.28041e12i | −0.309474 | + | 0.642628i | −0.996462 | − | 0.0840395i | \(-0.973218\pi\) |
0.686989 | + | 0.726668i | \(0.258932\pi\) | |||||||
\(542\) | 9.01564e11 | − | 1.13053e12i | 0.448745 | − | 0.562709i | ||||
\(543\) | 1.97683e11 | + | 1.57647e11i | 0.0975818 | + | 0.0778189i | ||||
\(544\) | 1.14012e12 | − | 5.49052e11i | 0.558155 | − | 0.268793i | ||||
\(545\) | −7.28944e10 | − | 3.19371e11i | −0.0353924 | − | 0.155064i | ||||
\(546\) | 6.18123e10 | − | 2.70817e11i | 0.0297652 | − | 0.130410i | ||||
\(547\) | 2.11745e12 | + | 1.01971e12i | 1.01128 | + | 0.487006i | 0.864751 | − | 0.502201i | \(-0.167476\pi\) |
0.146527 | + | 0.989207i | \(0.453191\pi\) | |||||||
\(548\) | −4.36307e10 | − | 9.06002e10i | −0.0206671 | − | 0.0429157i | ||||
\(549\) | −1.93447e11 | − | 4.41531e10i | −0.0908839 | − | 0.0207437i | ||||
\(550\) | −5.94419e11 | −0.276988 | ||||||||
\(551\) | −7.09581e11 | − | 1.33651e11i | −0.327959 | − | 0.0617718i | ||||
\(552\) | −3.09721e11 | −0.141986 | ||||||||
\(553\) | −3.70325e12 | − | 8.45242e11i | −1.68391 | − | 0.384342i | ||||
\(554\) | 5.63341e11 | + | 1.16979e12i | 0.254084 | + | 0.527611i | ||||
\(555\) | −1.00802e12 | − | 4.85437e11i | −0.450973 | − | 0.217177i | ||||
\(556\) | 1.24514e11 | − | 5.45531e11i | 0.0552562 | − | 0.242093i | ||||
\(557\) | 7.82861e11 | + | 3.42994e12i | 0.344617 | + | 1.50986i | 0.789205 | + | 0.614129i | \(0.210493\pi\) |
−0.444589 | + | 0.895735i | \(0.646650\pi\) | |||||||
\(558\) | −4.13786e12 | + | 1.99269e12i | −1.80685 | + | 0.870132i | ||||
\(559\) | 8.84422e11 | + | 7.05303e11i | 0.383095 | + | 0.305508i | ||||
\(560\) | −2.12358e12 | + | 2.66288e12i | −0.912478 | + | 1.14421i | ||||
\(561\) | 4.10235e11 | − | 8.51861e11i | 0.174864 | − | 0.363108i | ||||
\(562\) | 2.45133e12 | − | 1.95487e12i | 1.03654 | − | 0.826616i | ||||
\(563\) | − | 4.15982e12i | − | 1.74497i | −0.488644 | − | 0.872483i | \(-0.662508\pi\) | ||
0.488644 | − | 0.872483i | \(-0.337492\pi\) | |||||||
\(564\) | 1.26618e11 | + | 1.58774e11i | 0.0526915 | + | 0.0660730i | ||||
\(565\) | 1.07490e12 | − | 2.45338e11i | 0.443761 | − | 0.101286i | ||||
\(566\) | 3.22122e12 | − | 7.35221e11i | 1.31931 | − | 0.301123i | ||||
\(567\) | 1.51488e12 | + | 1.89960e12i | 0.615538 | + | 0.771861i | ||||
\(568\) | 5.83998e11i | 0.235420i | ||||||||
\(569\) | 2.66491e12 | − | 2.12519e12i | 1.06580 | − | 0.849950i | 0.0766831 | − | 0.997056i | \(-0.475567\pi\) |
0.989121 | + | 0.147105i | \(0.0469956\pi\) | |||||||
\(570\) | 1.13496e11 | − | 2.35676e11i | 0.0450342 | − | 0.0935144i | ||||
\(571\) | 5.37918e11 | − | 6.74527e11i | 0.211765 | − | 0.265544i | −0.664593 | − | 0.747206i | \(-0.731395\pi\) |
0.876357 | + | 0.481661i | \(0.159966\pi\) | |||||||
\(572\) | −2.01387e11 | − | 1.60601e11i | −0.0786592 | − | 0.0627286i | ||||
\(573\) | −9.37239e11 | + | 4.51350e11i | −0.363207 | + | 0.174911i | ||||
\(574\) | −7.54865e10 | − | 3.30728e11i | −0.0290246 | − | 0.127165i | ||||
\(575\) | 6.77688e10 | − | 2.96914e11i | 0.0258538 | − | 0.113273i | ||||
\(576\) | 1.20778e12 | + | 5.81634e11i | 0.457178 | + | 0.220165i | ||||
\(577\) | −2.11327e12 | − | 4.38826e12i | −0.793715 | − | 1.64817i | −0.761043 | − | 0.648701i | \(-0.775313\pi\) |
−0.0326720 | − | 0.999466i | \(-0.510402\pi\) | |||||||
\(578\) | −5.47860e11 | − | 1.25045e11i | −0.204171 | − | 0.0466007i | ||||
\(579\) | 1.02061e12 | 0.377406 | ||||||||
\(580\) | −6.55075e11 | − | 2.85160e11i | −0.240362 | − | 0.104632i | ||||
\(581\) | 6.05665e12 | 2.20516 | ||||||||
\(582\) | −1.56142e12 | − | 3.56384e11i | −0.564114 | − | 0.128755i | ||||
\(583\) | −5.24602e10 | − | 1.08935e11i | −0.0188071 | − | 0.0390533i | ||||
\(584\) | 2.61603e12 | + | 1.25982e12i | 0.930648 | + | 0.448177i | ||||
\(585\) | −1.44704e11 | + | 6.33988e11i | −0.0510832 | + | 0.223810i | ||||
\(586\) | 1.30149e12 | + | 5.70219e12i | 0.455932 | + | 1.99757i | ||||
\(587\) | −4.34587e12 | + | 2.09286e12i | −1.51080 | + | 0.727561i | −0.991870 | − | 0.127258i | \(-0.959382\pi\) |
−0.518926 | + | 0.854819i | \(0.673668\pi\) | |||||||
\(588\) | 1.70802e11 | + | 1.36210e11i | 0.0589244 | + | 0.0469907i | ||||
\(589\) | 1.18248e12 | − | 1.48278e12i | 0.404832 | − | 0.507644i | ||||
\(590\) | 1.03776e12 | − | 2.15492e12i | 0.352583 | − | 0.732147i | ||||
\(591\) | −6.44698e11 | + | 5.14129e11i | −0.217376 | + | 0.173352i | ||||
\(592\) | − | 6.60345e12i | − | 2.20965i | ||||||
\(593\) | −1.65931e12 | − | 2.08071e12i | −0.551038 | − | 0.690980i | 0.425834 | − | 0.904801i | \(-0.359981\pi\) |
−0.976873 | + | 0.213821i | \(0.931409\pi\) | |||||||
\(594\) | −2.37516e12 | + | 5.42115e11i | −0.782806 | + | 0.178670i | ||||
\(595\) | 3.93175e12 | − | 8.97397e11i | 1.28606 | − | 0.293534i | ||||
\(596\) | 4.72279e11 | + | 5.92219e11i | 0.153317 | + | 0.192254i | ||||
\(597\) | − | 8.63520e11i | − | 0.278220i | ||||||
\(598\) | 4.54952e11 | − | 3.62812e11i | 0.145482 | − | 0.116018i | ||||
\(599\) | −1.72575e11 | + | 3.58355e11i | −0.0547718 | + | 0.113735i | −0.926558 | − | 0.376151i | \(-0.877247\pi\) |
0.871787 | + | 0.489886i | \(0.162962\pi\) | |||||||
\(600\) | 9.79504e10 | − | 1.22826e11i | 0.0308550 | − | 0.0386909i | ||||
\(601\) | −1.90116e12 | − | 1.51612e12i | −0.594406 | − | 0.474023i | 0.279481 | − | 0.960151i | \(-0.409837\pi\) |
−0.873888 | + | 0.486128i | \(0.838409\pi\) | |||||||
\(602\) | −7.74320e12 | + | 3.72893e12i | −2.40290 | + | 1.15718i | ||||
\(603\) | 7.61418e11 | + | 3.33599e12i | 0.234528 | + | 1.02754i | ||||
\(604\) | −1.98870e11 | + | 8.71305e11i | −0.0607999 | + | 0.266382i | ||||
\(605\) | 1.23365e12 | + | 5.94095e11i | 0.374363 | + | 0.180284i | ||||
\(606\) | −4.45372e11 | − | 9.24825e11i | −0.134152 | − | 0.278569i | ||||
\(607\) | 6.32358e12 | + | 1.44332e12i | 1.89066 | + | 0.431532i | 0.999744 | − | 0.0226300i | \(-0.00720396\pi\) |
0.890919 | + | 0.454162i | \(0.150061\pi\) | |||||||
\(608\) | 6.40174e11 | 0.189991 | ||||||||
\(609\) | 5.62323e11 | − | 1.29178e12i | 0.165656 | − | 0.380549i | ||||
\(610\) | 3.57485e11 | 0.104538 | ||||||||
\(611\) | 8.96209e11 | + | 2.04554e11i | 0.260150 | + | 0.0593775i | ||||
\(612\) | 4.35610e11 | + | 9.04554e11i | 0.125521 | + | 0.260647i | ||||
\(613\) | −9.02016e10 | − | 4.34388e10i | −0.0258013 | − | 0.0124253i | 0.420939 | − | 0.907089i | \(-0.361701\pi\) |
−0.446740 | + | 0.894664i | \(0.647415\pi\) | |||||||
\(614\) | 1.22486e12 | − | 5.36646e12i | 0.347799 | − | 1.52381i | ||||
\(615\) | −1.82559e10 | − | 7.99843e10i | −0.00514594 | − | 0.0225459i | ||||
\(616\) | −4.24797e12 | + | 2.04571e12i | −1.18869 | + | 0.572442i | ||||
\(617\) | 1.85729e12 | + | 1.48114e12i | 0.515936 | + | 0.411445i | 0.846540 | − | 0.532324i | \(-0.178681\pi\) |
−0.330605 | + | 0.943769i | \(0.607253\pi\) | |||||||
\(618\) | −1.55414e10 | + | 1.94883e10i | −0.00428590 | + | 0.00537434i | ||||
\(619\) | −1.30238e12 | + | 2.70441e12i | −0.356557 | + | 0.740397i | −0.999678 | − | 0.0253667i | \(-0.991925\pi\) |
0.643122 | + | 0.765764i | \(0.277639\pi\) | |||||||
\(620\) | 1.46716e12 | − | 1.17002e12i | 0.398763 | − | 0.318003i | ||||
\(621\) | − | 1.24821e12i | − | 0.336802i | ||||||
\(622\) | −1.26490e11 | − | 1.58613e11i | −0.0338844 | − | 0.0424897i | ||||
\(623\) | −3.26399e11 | + | 7.44985e10i | −0.0868067 | + | 0.0198131i | ||||
\(624\) | 3.86565e11 | − | 8.82309e10i | 0.102068 | − | 0.0232965i | ||||
\(625\) | −1.80349e12 | − | 2.26150e12i | −0.472774 | − | 0.592840i | ||||
\(626\) | 4.84211e12i | 1.26023i | ||||||||
\(627\) | 3.73964e11 | − | 2.98227e11i | 0.0966332 | − | 0.0770624i | ||||
\(628\) | −5.57671e11 | + | 1.15801e12i | −0.143074 | + | 0.297095i | ||||
\(629\) | −4.87500e12 | + | 6.11306e12i | −1.24179 | + | 1.55715i | ||||
\(630\) | −3.86266e12 | − | 3.08036e12i | −0.976908 | − | 0.779058i | ||||
\(631\) | −1.13675e12 | + | 5.47430e11i | −0.285452 | + | 0.137466i | −0.571131 | − | 0.820859i | \(-0.693495\pi\) |
0.285679 | + | 0.958325i | \(0.407781\pi\) | |||||||
\(632\) | −9.13372e11 | − | 4.00174e12i | −0.227730 | − | 0.997751i | ||||
\(633\) | −4.30150e11 | + | 1.88461e12i | −0.106489 | + | 0.466557i | ||||
\(634\) | −2.67577e12 | − | 1.28858e12i | −0.657729 | − | 0.316745i | ||||
\(635\) | 2.03103e11 | + | 4.21748e11i | 0.0495718 | + | 0.102937i | ||||
\(636\) | −1.29308e10 | − | 2.95137e9i | −0.00313377 | − | 0.000715263i | ||||
\(637\) | 9.88895e11 | 0.237970 | ||||||||
\(638\) | −3.76105e12 | − | 4.36310e12i | −0.898702 | − | 1.04256i | ||||
\(639\) | −1.11898e12 | −0.265503 | ||||||||
\(640\) | −4.45999e12 | − | 1.01796e12i | −1.05081 | − | 0.239840i | ||||
\(641\) | −4.82935e11 | − | 1.00282e12i | −0.112987 | − | 0.234619i | 0.836806 | − | 0.547500i | \(-0.184420\pi\) |
−0.949792 | + | 0.312881i | \(0.898706\pi\) | |||||||
\(642\) | 8.40747e11 | + | 4.04883e11i | 0.195325 | + | 0.0940636i | ||||
\(643\) | −3.61413e11 | + | 1.58345e12i | −0.0833785 | + | 0.365305i | −0.999354 | − | 0.0359283i | \(-0.988561\pi\) |
0.915976 | + | 0.401233i | \(0.131418\pi\) | |||||||
\(644\) | 2.23110e11 | + | 9.77510e11i | 0.0511132 | + | 0.223942i | ||||
\(645\) | −1.87264e12 | + | 9.01816e11i | −0.426026 | + | 0.205163i | ||||
\(646\) | −1.42924e12 | − | 1.13978e12i | −0.322893 | − | 0.257499i | ||||
\(647\) | −4.61285e11 | + | 5.78433e11i | −0.103490 | + | 0.129773i | −0.830879 | − | 0.556452i | \(-0.812162\pi\) |
0.727389 | + | 0.686225i | \(0.240734\pi\) | |||||||
\(648\) | −1.13917e12 | + | 2.36552e12i | −0.253806 | + | 0.527034i | ||||
\(649\) | 3.41938e12 | − | 2.72686e12i | 0.756564 | − | 0.603340i | ||||
\(650\) | 2.95160e11i | 0.0648557i | ||||||||
\(651\) | 2.30723e12 | + | 2.89318e12i | 0.503473 | + | 0.631336i | ||||
\(652\) | 1.81867e12 | − | 4.15098e11i | 0.394129 | − | 0.0899574i | ||||
\(653\) | −3.14636e12 | + | 7.18136e11i | −0.677172 | + | 0.154560i | −0.547256 | − | 0.836965i | \(-0.684328\pi\) |
−0.129915 | + | 0.991525i | \(0.541471\pi\) | |||||||
\(654\) | −1.80646e11 | − | 2.26523e11i | −0.0386125 | − | 0.0484185i | ||||
\(655\) | 2.96733e12i | 0.629913i | ||||||||
\(656\) | 3.78579e11 | − | 3.01907e11i | 0.0798159 | − | 0.0636511i | ||||
\(657\) | −2.41390e12 | + | 5.01252e12i | −0.505447 | + | 1.04957i | ||||
\(658\) | −4.35442e12 | + | 5.46027e12i | −0.905553 | + | 1.13553i | ||||
\(659\) | −3.15689e12 | − | 2.51754e12i | −0.652041 | − | 0.519986i | 0.240674 | − | 0.970606i | \(-0.422631\pi\) |
−0.892716 | + | 0.450620i | \(0.851203\pi\) | |||||||
\(660\) | 4.26409e11 | − | 2.05348e11i | 0.0874740 | − | 0.0421253i | ||||
\(661\) | −1.50416e12 | − | 6.59016e12i | −0.306470 | − | 1.34273i | −0.860166 | − | 0.510014i | \(-0.829640\pi\) |
0.553696 | − | 0.832719i | \(-0.313217\pi\) | |||||||
\(662\) | −1.64416e12 | + | 7.20354e12i | −0.332723 | + | 1.45776i | ||||
\(663\) | −4.22994e11 | − | 2.03703e11i | −0.0850204 | − | 0.0409437i | ||||
\(664\) | 2.83970e12 | + | 5.89670e12i | 0.566912 | + | 1.17721i | ||||
\(665\) | 1.98904e12 | + | 4.53986e11i | 0.394409 | + | 0.0900213i | ||||
\(666\) | 9.57866e12 | 1.88656 | ||||||||
\(667\) | 2.60817e12 | − | 1.38123e12i | 0.510235 | − | 0.270208i | ||||
\(668\) | −3.31458e11 | −0.0644072 | ||||||||
\(669\) | 1.29333e12 | + | 2.95194e11i | 0.249627 | + | 0.0569757i | ||||
\(670\) | −2.67481e12 | − | 5.55430e12i | −0.512809 | − | 1.06486i | ||||
\(671\) | 5.88950e11 | + | 2.83623e11i | 0.112157 | + | 0.0540120i | ||||
\(672\) | −2.77949e11 | + | 1.21778e12i | −0.0525780 | + | 0.230359i | ||||
\(673\) | −3.36197e10 | − | 1.47298e11i | −0.00631723 | − | 0.0276776i | 0.971671 | − | 0.236337i | \(-0.0759470\pi\) |
−0.977988 | + | 0.208660i | \(0.933090\pi\) | |||||||
\(674\) | 5.51397e12 | − | 2.65539e12i | 1.02919 | − | 0.495631i | ||||
\(675\) | 4.95000e11 | + | 3.94749e11i | 0.0917779 | + | 0.0731905i | ||||
\(676\) | 9.13200e11 | − | 1.14512e12i | 0.168192 | − | 0.210906i | ||||
\(677\) | −3.04695e12 | + | 6.32706e12i | −0.557464 | + | 1.15759i | 0.411735 | + | 0.911304i | \(0.364923\pi\) |
−0.969198 | + | 0.246281i | \(0.920791\pi\) | |||||||
\(678\) | 7.62400e11 | − | 6.07994e11i | 0.138564 | − | 0.110501i | ||||
\(679\) | − | 1.24915e13i | − | 2.25528i | ||||||
\(680\) | 2.71713e12 | + | 3.40717e12i | 0.487326 | + | 0.611087i | ||||
\(681\) | −3.58560e11 | + | 8.18391e10i | −0.0638852 | + | 0.0145814i | ||||
\(682\) | 1.47508e13 | − | 3.36678e12i | 2.61088 | − | 0.595916i | ||||
\(683\) | 5.16899e11 | + | 6.48171e11i | 0.0908892 | + | 0.113971i | 0.825197 | − | 0.564846i | \(-0.191064\pi\) |
−0.734307 | + | 0.678817i | \(0.762493\pi\) | |||||||
\(684\) | 5.07905e11i | 0.0887218i | ||||||||
\(685\) | 6.53884e11 | − | 5.21455e11i | 0.113473 | − | 0.0904918i | ||||
\(686\) | 6.22253e11 | − | 1.29212e12i | 0.107277 | − | 0.222764i | ||||
\(687\) | 4.27335e11 | − | 5.35862e11i | 0.0731920 | − | 0.0917799i | ||||
\(688\) | −9.59112e12 | − | 7.64866e12i | −1.63200 | − | 1.30148i | ||||
\(689\) | −5.40918e10 | + | 2.60493e10i | −0.00914419 | + | 0.00440361i | ||||
\(690\) | 2.37915e11 | + | 1.04237e12i | 0.0399577 | + | 0.175066i | ||||
\(691\) | −3.46289e11 | + | 1.51719e12i | −0.0577813 | + | 0.253156i | −0.995567 | − | 0.0940594i | \(-0.970016\pi\) |
0.937785 | + | 0.347216i | \(0.112873\pi\) | |||||||
\(692\) | 1.97081e12 | + | 9.49090e11i | 0.326713 | + | 0.157337i | ||||
\(693\) | −3.91974e12 | − | 8.13943e12i | −0.645592 | − | 1.34058i | ||||
\(694\) | 8.88676e12 | + | 2.02834e12i | 1.45421 | + | 0.331913i | ||||
\(695\) | 4.65388e12 | 0.756629 | ||||||||
\(696\) | 1.52131e12 | − | 5.81860e10i | 0.245740 | − | 0.00939890i | ||||
\(697\) | −5.73348e11 | −0.0920176 | ||||||||
\(698\) | −6.76733e12 | − | 1.54460e12i | −1.07912 | − | 0.246301i | ||||
\(699\) | −1.13344e12 | − | 2.35361e12i | −0.179577 | − | 0.372895i | ||||
\(700\) | −4.58210e11 | − | 2.20662e11i | −0.0721312 | − | 0.0347365i | ||||
\(701\) | 2.14260e12 | − | 9.38734e12i | 0.335127 | − | 1.46829i | −0.473931 | − | 0.880562i | \(-0.657166\pi\) |
0.809059 | − | 0.587728i | \(-0.199977\pi\) | |||||||
\(702\) | 2.69189e11 | + | 1.17939e12i | 0.0418350 | + | 0.183291i | ||||
\(703\) | −3.56380e12 | + | 1.71624e12i | −0.550319 | + | 0.265020i | ||||
\(704\) | −3.45277e12 | − | 2.75349e12i | −0.529774 | − | 0.422481i | ||||
\(705\) | −1.05309e12 | + | 1.32053e12i | −0.160551 | + | 0.201325i | ||||
\(706\) | −7.74910e11 | + | 1.60912e12i | −0.117390 | + | 0.243762i | ||||
\(707\) | 6.25935e12 | − | 4.99166e12i | 0.942197 | − | 0.751377i | ||||
\(708\) | − | 4.79766e11i | − | 0.0717595i | ||||||
\(709\) | 6.23928e12 | + | 7.82381e12i | 0.927313 | + | 1.16281i | 0.986367 | + | 0.164559i | \(0.0526200\pi\) |
−0.0590545 | + | 0.998255i | \(0.518809\pi\) | |||||||
\(710\) | 1.96546e12 | − | 4.48603e11i | 0.290269 | − | 0.0662521i | ||||
\(711\) | 7.66764e12 | − | 1.75009e12i | 1.12525 | − | 0.256831i | ||||
\(712\) | −2.25566e11 | − | 2.82850e11i | −0.0328937 | − | 0.0412474i | ||||
\(713\) | 7.75193e12i | 1.12333i | ||||||||
\(714\) | 2.78870e12 | − | 2.22392e12i | 0.401569 | − | 0.320241i | ||||
\(715\) | 9.29523e11 | − | 1.93017e12i | 0.133010 | − | 0.276197i | ||||
\(716\) | −1.14916e12 | + | 1.44100e12i | −0.163408 | + | 0.204907i | ||||
\(717\) | −7.16729e11 | − | 5.71572e11i | −0.101279 | − | 0.0807672i | ||||
\(718\) | 5.07206e12 | − | 2.44258e12i | 0.712237 | − | 0.342995i | ||||
\(719\) | 2.18025e12 | + | 9.55230e12i | 0.304247 | + | 1.33299i | 0.863648 | + | 0.504096i | \(0.168174\pi\) |
−0.559401 | + | 0.828897i | \(0.688969\pi\) | |||||||
\(720\) | 1.56924e12 | − | 6.87529e12i | 0.217617 | − | 0.953443i | ||||
\(721\) | −1.75160e11 | − | 8.43528e10i | −0.0241395 | − | 0.0116249i | ||||
\(722\) | 3.20157e12 | + | 6.64812e12i | 0.438475 | + | 0.910504i | ||||
\(723\) | 1.95654e12 | + | 4.46568e11i | 0.266297 | + | 0.0607807i | ||||
\(724\) | 8.84503e11 | 0.119640 | ||||||||
\(725\) | −2.77092e11 | + | 1.47114e12i | −0.0372479 | + | 0.197757i | ||||
\(726\) | 1.21104e12 | 0.161787 | ||||||||
\(727\) | 6.54121e12 | + | 1.49299e12i | 0.868467 | + | 0.198222i | 0.633464 | − | 0.773772i | \(-0.281633\pi\) |
0.235004 | + | 0.971994i | \(0.424490\pi\) | |||||||
\(728\) | 1.01580e12 | + | 2.10934e12i | 0.134035 | + | 0.278327i | ||||
\(729\) | −3.30613e12 | − | 1.59215e12i | −0.433557 | − | 0.208790i | ||||
\(730\) | 2.23041e12 | − | 9.77205e12i | 0.290691 | − | 1.27360i | ||||
\(731\) | 3.23223e12 | + | 1.41613e13i | 0.418672 | + | 1.83432i | ||||
\(732\) | 6.46061e10 | − | 3.11127e10i | 0.00831714 | − | 0.00400532i | ||||
\(733\) | −8.57707e12 | − | 6.83999e12i | −1.09742 | − | 0.875160i | −0.104565 | − | 0.994518i | \(-0.533345\pi\) |
−0.992851 | + | 0.119358i | \(0.961916\pi\) | |||||||
\(734\) | −1.08876e13 | + | 1.36526e13i | −1.38452 | + | 1.73613i | ||||
\(735\) | −7.88355e11 | + | 1.63704e12i | −0.0996389 | + | 0.206902i | ||||
\(736\) | −2.04577e12 | + | 1.63145e12i | −0.256984 | + | 0.204938i | ||||
\(737\) | − | 1.12728e13i | − | 1.40743i | ||||||
\(738\) | 4.37932e11 | + | 5.49150e11i | 0.0543442 | + | 0.0681455i | ||||
\(739\) | −2.39732e11 | + | 5.47172e10i | −0.0295683 | + | 0.00674876i | −0.237279 | − | 0.971441i | \(-0.576256\pi\) |
0.207711 | + | 0.978190i | \(0.433399\pi\) | |||||||
\(740\) | −3.81572e12 | + | 8.70912e11i | −0.467771 | + | 0.106766i | ||||
\(741\) | −1.48085e11 | − | 1.85693e11i | −0.0180439 | − | 0.0226263i | ||||
\(742\) | − | 4.56128e11i | − | 0.0552419i | ||||||
\(743\) | 9.45739e12 | − | 7.54202e12i | 1.13847 | − | 0.907900i | 0.141837 | − | 0.989890i | \(-0.454699\pi\) |
0.996633 | + | 0.0819899i | \(0.0261275\pi\) | |||||||
\(744\) | −1.73501e12 | + | 3.60278e12i | −0.207598 | + | 0.431082i | ||||
\(745\) | −3.92796e12 | + | 4.92551e12i | −0.467158 | + | 0.585798i | ||||
\(746\) | −1.16686e13 | − | 9.30538e12i | −1.37941 | − | 1.10004i | ||||
\(747\) | −1.12985e13 | + | 5.44108e12i | −1.32763 | + | 0.639355i | ||||
\(748\) | −7.35994e11 | − | 3.22460e12i | −0.0859640 | − | 0.376633i | ||||
\(749\) | −1.61954e12 | + | 7.09568e12i | −0.188029 | + | 0.823808i | ||||
\(750\) | −2.91670e12 | − | 1.40461e12i | −0.336602 | − | 0.162099i | ||||
\(751\) | 4.45453e11 | + | 9.24994e11i | 0.0511002 | + | 0.106111i | 0.924955 | − | 0.380075i | \(-0.124102\pi\) |
−0.873855 | + | 0.486186i | \(0.838388\pi\) | |||||||
\(752\) | −9.71895e12 | − | 2.21829e12i | −1.10825 | − | 0.252951i | ||||
\(753\) | 2.08739e11 | 0.0236606 | ||||||||
\(754\) | −2.16651e12 | + | 1.86756e12i | −0.244112 | + | 0.210428i | ||||
\(755\) | −7.43303e12 | −0.832539 | ||||||||
\(756\) | −2.03215e12 | − | 4.63824e11i | −0.226259 | − | 0.0516422i | ||||
\(757\) | −1.65826e12 | − | 3.44342e12i | −0.183536 | − | 0.381117i | 0.788818 | − | 0.614626i | \(-0.210693\pi\) |
−0.972354 | + | 0.233510i | \(0.924979\pi\) | |||||||
\(758\) | −3.53112e12 | − | 1.70050e12i | −0.388509 | − | 0.187096i | ||||
\(759\) | −4.35044e11 | + | 1.90605e12i | −0.0475823 | + | 0.208472i | ||||
\(760\) | 4.90579e11 | + | 2.14937e12i | 0.0533394 | + | 0.233695i | ||||
\(761\) | −1.20235e13 | + | 5.79022e12i | −1.29957 | + | 0.625841i | −0.950345 | − | 0.311197i | \(-0.899270\pi\) |
−0.349227 | + | 0.937038i | \(0.613556\pi\) | |||||||
\(762\) | 3.23692e11 | + | 2.58135e11i | 0.0347804 | + | 0.0277364i | ||||
\(763\) | 1.40894e12 | − | 1.76676e12i | 0.150499 | − | 0.188720i | ||||
\(764\) | −1.57891e12 | + | 3.27864e12i | −0.167663 | + | 0.348156i | ||||
\(765\) | −6.52839e12 | + | 5.20622e12i | −0.689175 | + | 0.549599i | ||||
\(766\) | 1.26788e13i | 1.33060i | ||||||||
\(767\) | −1.35403e12 | − | 1.69790e12i | −0.141270 | − | 0.177147i | ||||
\(768\) | −2.33443e12 | + | 5.32819e11i | −0.242134 | + | 0.0552655i | ||||
\(769\) | 8.64451e12 | − | 1.97305e12i | 0.891398 | − | 0.203456i | 0.247793 | − | 0.968813i | \(-0.420295\pi\) |
0.643606 | + | 0.765357i | \(0.277438\pi\) | |||||||
\(770\) | 1.01480e13 | + | 1.27252e13i | 1.04033 | + | 1.30454i | ||||
\(771\) | − | 9.75323e11i | − | 0.0994040i | ||||||
\(772\) | 2.79138e12 | − | 2.22605e12i | 0.282840 | − | 0.225558i | ||||
\(773\) | 5.95183e12 | − | 1.23591e13i | 0.599574 | − | 1.24503i | −0.351536 | − | 0.936175i | \(-0.614340\pi\) |
0.951110 | − | 0.308854i | \(-0.0999454\pi\) | |||||||
\(774\) | 1.10948e13 | − | 1.39124e13i | 1.11118 | − | 1.39338i | ||||
\(775\) | −3.07418e12 | − | 2.45157e12i | −0.306105 | − | 0.244111i | ||||
\(776\) | 1.21616e13 | − | 5.85671e12i | 1.20396 | − | 0.579797i | ||||
\(777\) | −1.71740e12 | − | 7.52442e12i | −0.169035 | − | 0.740591i | ||||
\(778\) | −3.29119e12 | + | 1.44196e13i | −0.322065 | + | 1.41106i | ||||
\(779\) | −2.61328e11 | − | 1.25849e11i | −0.0254254 | − | 0.0122442i | ||||
\(780\) | −1.01966e11 | − | 2.11735e11i | −0.00986347 | − | 0.0204817i | ||||
\(781\) | 3.59397e12 | + | 8.20301e11i | 0.345657 | + | 0.0788940i | ||||
\(782\) | 7.47201e12 | 0.714508 | ||||||||
\(783\) | 2.34495e11 | + | 6.13103e12i | 0.0222949 | + | 0.582915i | ||||
\(784\) | −1.07241e13 | −1.01377 | ||||||||
\(785\) | −1.04219e13 | − | 2.37872e12i | −0.979561 | − | 0.223578i | ||||
\(786\) | 1.13871e12 | + | 2.36457e12i | 0.106418 | + | 0.220978i | ||||
\(787\) | −1.12394e13 | − | 5.41261e12i | −1.04438 | − | 0.502945i | −0.168611 | − | 0.985683i | \(-0.553928\pi\) |
−0.875765 | + | 0.482738i | \(0.839642\pi\) | |||||||
\(788\) | −6.41886e11 | + | 2.81229e12i | −0.0593048 | + | 0.259831i | ||||
\(789\) | −9.81952e11 | − | 4.30221e12i | −0.0902077 | − | 0.395226i | ||||
\(790\) | −1.27663e13 | + | 6.14794e12i | −1.16612 | + | 0.561575i | ||||
\(791\) | 5.94633e12 | + | 4.74204e12i | 0.540076 | + | 0.430696i | ||||
\(792\) | 6.08667e12 | − | 7.63245e12i | 0.549688 | − | 0.689287i | ||||
\(793\) | 1.40834e11 | − | 2.92445e11i | 0.0126467 | − | 0.0262612i | ||||
\(794\) | 9.42447e12 | − | 7.51576e12i | 0.841520 | − | 0.671090i | ||||
\(795\) | − | 1.10311e11i | − | 0.00979418i | ||||||
\(796\) | −1.88342e12 | − | 2.36173e12i | −0.166279 | − | 0.208507i | ||||
\(797\) | −4.78328e12 | + | 1.09175e12i | −0.419917 | + | 0.0958433i | −0.427258 | − | 0.904130i | \(-0.640520\pi\) |
0.00734112 | + | 0.999973i | \(0.497663\pi\) | |||||||
\(798\) | 1.75922e12 | − | 4.01530e11i | 0.153570 | − | 0.0350513i | ||||
\(799\) | 7.35954e12 | + | 9.22857e12i | 0.638837 | + | 0.801077i | ||||
\(800\) | − | 1.32724e12i | − | 0.114563i | ||||||
\(801\) | 5.41962e11 | − | 4.32201e11i | 0.0465182 | − | 0.0370970i | ||||
\(802\) | −8.02707e12 | + | 1.66684e13i | −0.685129 | + | 1.42268i | ||||
\(803\) | 1.14276e13 | − | 1.43297e13i | 0.969916 | − | 1.21624i | ||||
\(804\) | −9.66806e11 | − | 7.71002e11i | −0.0815994 | − | 0.0650733i | ||||
\(805\) | −7.51323e12 | + | 3.61818e12i | −0.630588 | + | 0.303675i | ||||
\(806\) | −1.67178e12 | − | 7.32457e12i | −0.139532 | − | 0.611328i | ||||
\(807\) | −1.81951e11 | + | 7.97179e11i | −0.0151016 | + | 0.0661645i | ||||
\(808\) | 7.79457e12 | + | 3.75367e12i | 0.643341 | + | 0.309817i | ||||
\(809\) | −5.70789e12 | − | 1.18525e13i | −0.468497 | − | 0.972844i | −0.992627 | − | 0.121206i | \(-0.961324\pi\) |
0.524130 | − | 0.851638i | \(-0.324390\pi\) | |||||||
\(810\) | 8.83626e12 | + | 2.01682e12i | 0.721250 | + | 0.164621i | ||||
\(811\) | 2.25454e13 | 1.83005 | 0.915026 | − | 0.403394i | \(-0.132170\pi\) | ||||
0.915026 | + | 0.403394i | \(0.132170\pi\) | |||||||
\(812\) | −1.27953e12 | − | 4.75949e12i | −0.103288 | − | 0.384201i | ||||
\(813\) | 2.41236e12 | 0.193658 | ||||||||
\(814\) | −3.07649e13 | − | 7.02189e12i | −2.45610 | − | 0.560588i | ||||
\(815\) | 6.73166e12 | + | 1.39784e13i | 0.534457 | + | 1.10981i | ||||
\(816\) | 4.58716e12 | + | 2.20906e12i | 0.362192 | + | 0.174422i | ||||
\(817\) | −1.63516e12 | + | 7.16409e12i | −0.128399 | + | 0.562551i | ||||
\(818\) | 9.80154e11 | + | 4.29434e12i | 0.0765428 | + | 0.335356i | ||||
\(819\) | −4.04165e12 | + | 1.94636e12i | −0.313893 | + | 0.151163i | ||||
\(820\) | −2.24383e11 | − | 1.78939e11i | −0.0173311 | − | 0.0138211i | ||||
\(821\) | 4.56401e12 | − | 5.72308e12i | 0.350592 | − | 0.439628i | −0.574999 | − | 0.818154i | \(-0.694997\pi\) |
0.925591 | + | 0.378526i | \(0.123569\pi\) | |||||||
\(822\) | 3.20949e11 | − | 6.66457e11i | 0.0245196 | − | 0.0509154i | ||||
\(823\) | 9.41669e10 | − | 7.50956e10i | 0.00715483 | − | 0.00570579i | −0.619906 | − | 0.784676i | \(-0.712829\pi\) |
0.627061 | + | 0.778970i | \(0.284258\pi\) | |||||||
\(824\) | − | 2.10084e11i | − | 0.0158752i | ||||||
\(825\) | −6.18297e11 | − | 7.75320e11i | −0.0464681 | − | 0.0582691i | ||||
\(826\) | 1.60856e13 | − | 3.67142e12i | 1.20234 | − | 0.274425i | ||||
\(827\) | −1.18836e13 | + | 2.71236e12i | −0.883433 | + | 0.201638i | −0.640088 | − | 0.768302i | \(-0.721102\pi\) |
−0.243346 | + | 0.969940i | \(0.578245\pi\) | |||||||
\(828\) | −1.29437e12 | − | 1.62308e12i | −0.0957020 | − | 0.120006i | ||||
\(829\) | − | 9.19792e12i | − | 0.676386i | −0.941077 | − | 0.338193i | \(-0.890184\pi\) | ||
0.941077 | − | 0.338193i | \(-0.109816\pi\) | |||||||
\(830\) | 1.76641e13 | − | 1.40867e13i | 1.29193 | − | 1.03028i | ||||
\(831\) | −9.39824e11 | + | 1.95157e12i | −0.0683663 | + | 0.141964i | ||||
\(832\) | −1.36725e12 | + | 1.71448e12i | −0.0989223 | + | 0.124045i | ||||
\(833\) | 9.92768e12 | + | 7.91706e12i | 0.714406 | + | 0.569720i | ||||
\(834\) | 3.70851e12 | − | 1.78593e12i | 0.265431 | − | 0.127825i | ||||
\(835\) | −6.13434e11 | − | 2.68763e12i | −0.0436695 | − | 0.191329i | ||||
\(836\) | 3.72333e11 | − | 1.63130e12i | 0.0263635 | − | 0.115506i | ||||
\(837\) | −1.45195e13 | − | 6.99225e12i | −1.02256 | − | 0.492439i | ||||
\(838\) | 5.32327e12 | + | 1.10539e13i | 0.372890 | + | 0.774314i | ||||
\(839\) | −2.30214e13 | − | 5.25449e12i | −1.60400 | − | 0.366102i | −0.675476 | − | 0.737382i | \(-0.736062\pi\) |
−0.928521 | + | 0.371280i | \(0.878919\pi\) | |||||||
\(840\) | −4.30165e12 | −0.298111 | ||||||||
\(841\) | −1.25515e13 | + | 7.27439e12i | −0.865196 | + | 0.501435i | ||||
\(842\) | 2.90288e13 | 1.99033 | ||||||||
\(843\) | 5.09959e12 | + | 1.16395e12i | 0.347785 | + | 0.0793797i | ||||
\(844\) | 2.93404e12 | + | 6.09261e12i | 0.199033 | + | 0.413297i | ||||
\(845\) | 1.09753e13 | + | 5.28540e12i | 0.740559 | + | 0.356634i | ||||
\(846\) | 3.21774e12 | − | 1.40978e13i | 0.215966 | − | 0.946207i | ||||
\(847\) | 2.10182e12 | + | 9.20866e12i | 0.140320 | + | 0.614782i | ||||
\(848\) | 5.86600e11 | − | 2.82491e11i | 0.0389547 | − | 0.0187596i | ||||
\(849\) | 4.30958e12 | + | 3.43678e12i | 0.284676 | + | 0.227021i | ||||
\(850\) | −2.36305e12 | + | 2.96317e12i | −0.155270 | + | 0.194702i | ||||
\(851\) | 7.01491e12 | − | 1.45666e13i | 0.458500 | − | 0.952085i | ||||
\(852\) | 3.16163e11 | − | 2.52132e11i | 0.0205557 | − | 0.0163927i | ||||
\(853\) | − | 1.11906e13i | − | 0.723741i | −0.932228 | − | 0.361871i | \(-0.882138\pi\) | ||
0.932228 | − | 0.361871i | \(-0.117862\pi\) | |||||||
\(854\) | 1.53754e12 | + | 1.92802e12i | 0.0989162 | + | 0.124037i | ||||
\(855\) | −4.11835e12 | + | 9.39987e11i | −0.263558 | + | 0.0601553i | ||||
\(856\) | −7.66762e12 | + | 1.75009e12i | −0.488123 | + | 0.111411i | ||||
\(857\) | −3.48857e12 | − | 4.37453e12i | −0.220919 | − | 0.277024i | 0.659004 | − | 0.752139i | \(-0.270978\pi\) |
−0.879924 | + | 0.475115i | \(0.842406\pi\) | |||||||
\(858\) | − | 1.89479e12i | − | 0.119363i | ||||||
\(859\) | −5.99821e12 | + | 4.78341e12i | −0.375882 | + | 0.299756i | −0.793149 | − | 0.609028i | \(-0.791560\pi\) |
0.417266 | + | 0.908784i | \(0.362988\pi\) | |||||||
\(860\) | −3.15473e12 | + | 6.55086e12i | −0.196661 | + | 0.408372i | ||||
\(861\) | 3.52860e11 | − | 4.42473e11i | 0.0218821 | − | 0.0274393i | ||||
\(862\) | 5.56760e12 | + | 4.44001e12i | 0.343467 | + | 0.273906i | ||||
\(863\) | −1.26163e13 | + | 6.07569e12i | −0.774254 | + | 0.372861i | −0.778916 | − | 0.627128i | \(-0.784230\pi\) |
0.00466195 | + | 0.999989i | \(0.498516\pi\) | |||||||
\(864\) | −1.21045e12 | − | 5.30334e12i | −0.0738985 | − | 0.323771i | ||||
\(865\) | −4.04830e12 | + | 1.77368e13i | −0.245867 | + | 1.07721i | ||||
\(866\) | 1.00238e12 | + | 4.82721e11i | 0.0605623 | + | 0.0291653i | ||||
\(867\) | −4.06767e11 | − | 8.44660e11i | −0.0244489 | − | 0.0507687i | ||||
\(868\) | 1.26205e13 | + | 2.88056e12i | 0.754639 | + | 0.172241i | ||||
\(869\) | −2.59100e13 | −1.54127 | ||||||||
\(870\) | −1.36443e12 | − | 5.07531e12i | −0.0807451 | − | 0.300349i | ||||
\(871\) | −5.59752e12 | −0.329545 | ||||||||
\(872\) | 2.38069e12 | + | 5.43378e11i | 0.139437 | + | 0.0318257i | ||||
\(873\) | 1.12219e13 | + | 2.33025e13i | 0.653886 | + | 1.35781i | ||||
\(874\) | 3.40569e12 | + | 1.64009e12i | 0.197426 | + | 0.0950752i | ||||
\(875\) | 5.61848e12 | − | 2.46162e13i | 0.324028 | − | 1.41966i | ||||
\(876\) | −4.47395e11 | − | 1.96016e12i | −0.0256698 | − | 0.112467i | ||||
\(877\) | 2.24977e13 | − | 1.08343e13i | 1.28422 | − | 0.618449i | 0.337750 | − | 0.941236i | \(-0.390334\pi\) |
0.946472 | + | 0.322787i | \(0.104620\pi\) | |||||||
\(878\) | 1.02317e13 | + | 8.15949e12i | 0.581061 | + | 0.463380i | ||||
\(879\) | −6.08378e12 | + | 7.62881e12i | −0.343735 | + | 0.431030i | ||||
\(880\) | −1.00802e13 | + | 2.09318e13i | −0.566628 | + | 1.17662i | ||||
\(881\) | 2.40342e13 | − | 1.91666e13i | 1.34412 | − | 1.07190i | 0.353473 | − | 0.935445i | \(-0.385001\pi\) |
0.990646 | − | 0.136455i | \(-0.0435709\pi\) | |||||||
\(882\) | − | 1.55558e13i | − | 0.865536i | ||||||
\(883\) | 1.87622e12 | + | 2.35270e12i | 0.103863 | + | 0.130240i | 0.831046 | − | 0.556203i | \(-0.187742\pi\) |
−0.727183 | + | 0.686443i | \(0.759171\pi\) | |||||||
\(884\) | −1.60118e12 | + | 3.65460e11i | −0.0881872 | + | 0.0201282i | ||||
\(885\) | 3.89018e12 | − | 8.87909e11i | 0.213170 | − | 0.0486546i | ||||
\(886\) | −1.64025e13 | − | 2.05680e13i | −0.894247 | − | 1.12135i | ||||
\(887\) | 1.35423e13i | 0.734577i | 0.930107 | + | 0.367289i | \(0.119714\pi\) | ||||
−0.930107 | + | 0.367289i | \(0.880286\pi\) | |||||||
\(888\) | 6.52049e12 | − | 5.19992e12i | 0.351902 | − | 0.280633i | ||||
\(889\) | −1.40106e12 | + | 2.90934e12i | −0.0752315 | + | 0.156220i | ||||
\(890\) | −7.78668e11 | + | 9.76419e11i | −0.0416004 | + | 0.0521652i | ||||
\(891\) | 1.29575e13 | + | 1.03332e13i | 0.688764 | + | 0.549271i | ||||
\(892\) | 4.18110e12 | − | 2.01351e12i | 0.221130 | − | 0.106491i | ||||
\(893\) | 1.32877e12 | + | 5.82173e12i | 0.0699228 | + | 0.306352i | ||||
\(894\) | −1.23989e12 | + | 5.43232e12i | −0.0649180 | + | 0.284424i | ||||
\(895\) | −1.38111e13 | − | 6.65109e12i | −0.719492 | − | 0.346489i | ||||
\(896\) | −1.36923e13 | − | 2.84323e13i | −0.709725 | − | 1.47376i | ||||
\(897\) | 9.46455e11 | + | 2.16022e11i | 0.0488128 | + | 0.0111412i | ||||
\(898\) | 1.19288e13 | 0.612145 | ||||||||
\(899\) | −1.45632e12 | − | 3.80765e13i | −0.0743599 | − | 1.94419i | ||||
\(900\) | 1.05301e12 | 0.0534986 | ||||||||
\(901\) | −7.51587e11 | − | 1.71545e11i | −0.0379942 | − | 0.00867193i | ||||
\(902\) | −1.00399e12 | − | 2.08481e12i | −0.0505010 | − | 0.104866i | ||||
\(903\) | −1.29180e13 | − | 6.22098e12i | −0.646548 | − | 0.311361i | ||||
\(904\) | −1.82883e12 | + | 8.01262e12i | −0.0910784 | + | 0.399040i | ||||
\(905\) | 1.63696e12 | + | 7.17199e12i | 0.0811185 | + | 0.355403i | ||||
\(906\) | −5.92313e12 | + | 2.85243e12i | −0.292061 | + | 0.140649i | ||||
\(907\) | −4.68542e12 | − | 3.73650e12i | −0.229888 | − | 0.183329i | 0.501771 | − | 0.865001i | \(-0.332682\pi\) |
−0.731659 | + | 0.681671i | \(0.761253\pi\) | |||||||
\(908\) | −8.02164e11 | + | 1.00588e12i | −0.0391631 | + | 0.0491090i | ||||
\(909\) | −7.19231e12 | + | 1.49350e13i | −0.349406 | + | 0.725550i | ||||
\(910\) | 6.31873e12 | − | 5.03902e12i | 0.305452 | − | 0.243590i | ||||
\(911\) | 3.02546e13i | 1.45532i | 0.685936 | + | 0.727662i | \(0.259393\pi\) | ||||
−0.685936 | + | 0.727662i | \(0.740607\pi\) | |||||||
\(912\) | 1.60591e12 | + | 2.01375e12i | 0.0768679 | + | 0.0963893i | ||||
\(913\) | 4.02775e13 | − | 9.19308e12i | 1.91842 | − | 0.437867i | ||||
\(914\) | −1.52464e13 | + | 3.47990e12i | −0.722621 | + | 0.164934i | ||||
\(915\) | 3.71845e11 | + | 4.66279e11i | 0.0175375 | + | 0.0219913i | ||||
\(916\) | − | 2.39764e12i | − | 0.112526i | ||||||
\(917\) | −1.60037e13 | + | 1.27625e13i | −0.747410 | + | 0.596039i | ||||
\(918\) | −6.73975e12 | + | 1.39952e13i | −0.313222 | + | 0.650412i | ||||
\(919\) | −5.18106e12 | + | 6.49684e12i | −0.239607 | + | 0.300457i | −0.887066 | − | 0.461643i | \(-0.847260\pi\) |
0.647459 | + | 0.762100i | \(0.275832\pi\) | |||||||
\(920\) | −7.04526e12 | − | 5.61840e12i | −0.324229 | − | 0.258564i | ||||
\(921\) | 8.27371e12 | − | 3.98441e12i | 0.378906 | − | 0.182472i | ||||
\(922\) | 8.17077e12 | + | 3.57985e13i | 0.372369 | + | 1.63146i | ||||
\(923\) | 4.07323e11 | − | 1.78460e12i | 0.0184727 | − | 0.0809343i | ||||
\(924\) | 2.94149e12 | + | 1.41655e12i | 0.132753 | + | 0.0639304i | ||||
\(925\) | 3.55818e12 | + | 7.38864e12i | 0.159805 | + | 0.331838i | ||||
\(926\) | −2.32102e13 | − | 5.29758e12i | −1.03736 | − | 0.236771i | ||||
\(927\) | 4.02537e11 | 0.0179039 | ||||||||
\(928\) | 9.74206e12 | − | 8.39778e12i | 0.431206 | − | 0.371705i | ||||
\(929\) | −3.92166e13 | −1.72742 | −0.863712 | − | 0.503986i | \(-0.831866\pi\) | ||||
−0.863712 | + | 0.503986i | \(0.831866\pi\) | |||||||
\(930\) | 1.34580e13 | + | 3.07170e12i | 0.589939 | + | 0.134650i | ||||
\(931\) | 2.78719e12 | + | 5.78765e12i | 0.121588 | + | 0.252481i | ||||
\(932\) | −8.23339e12 | − | 3.96499e12i | −0.357443 | − | 0.172135i | ||||
\(933\) | 7.53135e10 | − | 3.29970e11i | 0.00325391 | − | 0.0142563i | ||||
\(934\) | −5.90443e12 | − | 2.58690e13i | −0.253873 | − | 1.11229i | ||||
\(935\) | 2.47846e13 | − | 1.19356e13i | 1.06054 | − | 0.510731i | ||||
\(936\) | −3.78991e12 | − | 3.02235e12i | −0.161394 | − | 0.128708i | ||||
\(937\) | 6.86883e11 | − | 8.61323e11i | 0.0291108 | − | 0.0365038i | −0.767063 | − | 0.641572i | \(-0.778283\pi\) |
0.796174 | + | 0.605068i | \(0.206854\pi\) | |||||||
\(938\) | 1.84516e13 | − | 3.83151e13i | 0.778253 | − | 1.61606i | ||||
\(939\) | −6.31572e12 | + | 5.03662e12i | −0.265111 | + | 0.211419i | ||||
\(940\) | 5.90853e12i | 0.246833i | ||||||||
\(941\) | 6.33705e11 | + | 7.94641e11i | 0.0263472 | + | 0.0330383i | 0.794831 | − | 0.606831i | \(-0.207560\pi\) |
−0.768483 | + | 0.639870i | \(0.778988\pi\) | |||||||
\(942\) | −9.21765e12 | + | 2.10387e12i | −0.381409 | + | 0.0870541i | ||||
\(943\) | 1.15583e12 | − | 2.63811e11i | 0.0475983 | − | 0.0108640i | ||||
\(944\) | 1.46838e13 | + | 1.84129e13i | 0.601817 | + | 0.754654i | ||||
\(945\) | − | 1.73361e13i | − | 0.707143i | ||||||
\(946\) | −4.58333e13 | + | 3.65509e13i | −1.86068 | + | 1.48384i | ||||
\(947\) | 5.61903e12 | − | 1.16680e13i | 0.227032 | − | 0.471436i | −0.756071 | − | 0.654489i | \(-0.772884\pi\) |
0.983103 | + | 0.183053i | \(0.0585980\pi\) | |||||||
\(948\) | −1.77212e12 | + | 2.22217e12i | −0.0712615 | + | 0.0893591i | ||||
\(949\) | −7.11546e12 | − | 5.67439e12i | −0.284777 | − | 0.227102i | ||||
\(950\) | −1.72747e12 | + | 8.31906e11i | −0.0688105 | + | 0.0331374i | ||||
\(951\) | −1.10252e12 | − | 4.83043e12i | −0.0437091 | − | 0.191502i | ||||
\(952\) | −6.68948e12 | + | 2.93085e13i | −0.263953 | + | 1.15645i | ||||
\(953\) | −3.07696e13 | − | 1.48179e13i | −1.20838 | − | 0.581926i | −0.282328 | − | 0.959318i | \(-0.591107\pi\) |
−0.926054 | + | 0.377392i | \(0.876821\pi\) | |||||||
\(954\) | 4.09769e11 | + | 8.50894e11i | 0.0160166 | + | 0.0332589i | ||||
\(955\) | −2.95070e13 | − | 6.73478e12i | −1.14792 | − | 0.262004i | ||||
\(956\) | −3.20690e12 | −0.124173 | ||||||||
\(957\) | 1.77880e12 | − | 9.44401e12i | 0.0685525 | − | 0.363959i | ||||
\(958\) | −2.60051e13 | −0.997500 | ||||||||
\(959\) | 5.62472e12 | + | 1.28381e12i | 0.214742 | + | 0.0490135i | ||||
\(960\) | −1.74820e12 | − | 3.63018e12i | −0.0664311 | − | 0.137946i | ||||
\(961\) | 6.63517e13 | + | 3.19533e13i | 2.50956 | + | 1.20854i | ||||
\(962\) | −3.48674e12 | + | 1.52764e13i | −0.131260 | + | 0.575086i | ||||
\(963\) | −3.35330e12 | − | 1.46917e13i | −0.125647 | − | 0.550497i | ||||
\(964\) | 6.32515e12 | − | 3.04603e12i | 0.235898 | − | 0.113602i | ||||
\(965\) | 2.32160e13 | + | 1.85141e13i | 0.861816 | + | 0.687275i | ||||
\(966\) | −4.59856e12 | + | 5.76641e12i | −0.169912 | + | 0.213063i | ||||
\(967\) | −3.76647e11 | + | 7.82116e11i | −0.0138521 | + | 0.0287642i | −0.907780 | − | 0.419446i | \(-0.862224\pi\) |
0.893928 | + | 0.448211i | \(0.147939\pi\) | |||||||
\(968\) | −7.98001e12 | + | 6.36385e12i | −0.292122 | + | 0.232960i | ||||
\(969\) | − | 3.04977e12i | − | 0.111125i | ||||||
\(970\) | −2.90529e13 | − | 3.64312e13i | −1.05370 | − | 1.32130i | ||||
\(971\) | −8.95328e11 | + | 2.04353e11i | −0.0323218 | + | 0.00737724i | −0.238651 | − | 0.971105i | \(-0.576705\pi\) |
0.206329 | + | 0.978483i | \(0.433848\pi\) | |||||||
\(972\) | 6.41472e12 | − | 1.46412e12i | 0.230505 | − | 0.0526112i | ||||
\(973\) | 2.00164e13 | + | 2.50997e13i | 0.715941 | + | 0.897762i | ||||
\(974\) | 6.63016e12i | 0.236053i | ||||||||
\(975\) | −3.84987e11 | + | 3.07017e11i | −0.0136435 | + | 0.0108803i | ||||
\(976\) | −1.52727e12 | + | 3.17142e12i | −0.0538757 | + | 0.111874i | ||||
\(977\) | 3.37055e13 | − | 4.22653e13i | 1.18352 | − | 1.48408i | 0.345521 | − | 0.938411i | \(-0.387702\pi\) |
0.837998 | − | 0.545674i | \(-0.183726\pi\) | |||||||
\(978\) | 1.07284e13 | + | 8.55565e12i | 0.374983 | + | 0.299039i | ||||
\(979\) | −2.05752e12 | + | 9.90850e11i | −0.0715850 | + | 0.0344735i | ||||
\(980\) | 1.41437e12 | + | 6.19677e12i | 0.0489831 | + | 0.214609i | ||||
\(981\) | −1.04115e12 | + | 4.56159e12i | −0.0358925 | + | 0.157255i | ||||
\(982\) | −4.70659e13 | − | 2.26658e13i | −1.61512 | − | 0.777801i | ||||
\(983\) | 1.58631e13 | + | 3.29401e13i | 0.541873 | + | 1.12521i | 0.974655 | + | 0.223712i | \(0.0718174\pi\) |
−0.432783 | + | 0.901498i | \(0.642468\pi\) | |||||||
\(984\) | 5.96228e11 | + | 1.36085e11i | 0.0202738 | + | 0.00462735i | ||||
\(985\) | −2.39914e13 | −0.812068 | ||||||||
\(986\) | −3.67015e13 | + | 1.40373e12i | −1.23663 | + | 0.0472975i | ||||
\(987\) | −1.16513e13 | −0.390795 | ||||||||
\(988\) | −8.10026e11 | − | 1.84883e11i | −0.0270453 | − | 0.00617292i | ||||
\(989\) | −1.30319e13 | − | 2.70610e13i | −0.433136 | − | 0.899416i | ||||
\(990\) | −3.03627e13 | − | 1.46219e13i | −1.00457 | − | 0.483777i | ||||
\(991\) | −4.53482e12 | + | 1.98684e13i | −0.149358 | + | 0.654381i | 0.843706 | + | 0.536806i | \(0.180369\pi\) |
−0.993064 | + | 0.117575i | \(0.962488\pi\) | |||||||
\(992\) | 7.51746e12 | + | 3.29361e13i | 0.246473 | + | 1.07987i | ||||
\(993\) | −1.11060e13 | + | 5.34837e12i | −0.362482 | + | 0.174562i | ||||
\(994\) | 1.08729e13 | + | 8.67085e12i | 0.353270 | + | 0.281723i | ||||
\(995\) | 1.56644e13 | − | 1.96426e13i | 0.506653 | − | 0.635322i | ||||
\(996\) | 1.96634e12 | − | 4.08315e12i | 0.0633128 | − | 0.131470i | ||||
\(997\) | −1.94326e13 | + | 1.54969e13i | −0.622876 | + | 0.496727i | −0.883325 | − | 0.468760i | \(-0.844701\pi\) |
0.260449 | + | 0.965488i | \(0.416129\pi\) | |||||||
\(998\) | − | 1.75641e13i | − | 0.560453i | ||||||
\(999\) | 2.09562e13 | + | 2.62782e13i | 0.665682 | + | 0.834739i |
(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 | 29.10.e.a.4.16 | ✓ | 132 | |
29.22 | even | 14 | inner | 29.10.e.a.22.16 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.10.e.a.4.16 | ✓ | 132 | 1.1 | even | 1 | trivial | |
29.10.e.a.22.16 | yes | 132 | 29.22 | even | 14 | inner |