Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [12,10,Mod(11,12)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(12, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("12.11");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 12.b (of order \(2\), degree \(1\), 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: | \(6.18043003397\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 43 x^{14} - 1652 x^{12} - 2031680 x^{10} + 40456192 x^{8} - 33287045120 x^{6} + \cdots + 72\!\cdots\!36 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{68}\cdot 3^{24} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.7 | ||
Root | \(4.10871 - 10.5413i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.10.b.a.11.8 |
$q$-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 \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(7\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −8.21741 | − | 21.0826i | −0.363162 | − | 0.931726i | ||||
\(3\) | −12.8513 | − | 139.706i | −0.0916012 | − | 0.995796i | ||||
\(4\) | −376.948 | + | 346.488i | −0.736227 | + | 0.676735i | ||||
\(5\) | − | 2101.02i | − | 1.50337i | −0.659525 | − | 0.751683i | \(-0.729243\pi\) | ||
0.659525 | − | 0.751683i | \(-0.270757\pi\) | |||||||
\(6\) | −2839.76 | + | 1418.96i | −0.894543 | + | 0.446982i | ||||
\(7\) | 7674.38i | 1.20810i | 0.796947 | + | 0.604049i | \(0.206447\pi\) | ||||
−0.796947 | + | 0.604049i | \(0.793553\pi\) | |||||||
\(8\) | 10402.4 | + | 5099.80i | 0.897901 | + | 0.440198i | ||||
\(9\) | −19352.7 | + | 3590.81i | −0.983218 | + | 0.182432i | ||||
\(10\) | −44294.8 | + | 17264.9i | −1.40072 | + | 0.545965i | ||||
\(11\) | −28827.6 | −0.593665 | −0.296833 | − | 0.954930i | \(-0.595930\pi\) | ||||
−0.296833 | + | 0.954930i | \(0.595930\pi\) | |||||||
\(12\) | 53250.8 | + | 48209.2i | 0.741329 | + | 0.671142i | ||||
\(13\) | 21331.4 | 0.207145 | 0.103572 | − | 0.994622i | \(-0.466973\pi\) | ||||
0.103572 | + | 0.994622i | \(0.466973\pi\) | |||||||
\(14\) | 161796. | − | 63063.6i | 1.12562 | − | 0.438735i | ||||
\(15\) | −293525. | + | 27000.8i | −1.49704 | + | 0.137710i | ||||
\(16\) | 22036.0 | − | 261216.i | 0.0840606 | − | 0.996461i | ||||
\(17\) | − | 318970.i | − | 0.926252i | −0.886292 | − | 0.463126i | \(-0.846728\pi\) | ||
0.886292 | − | 0.463126i | \(-0.153272\pi\) | |||||||
\(18\) | 234732. | + | 378497.i | 0.527044 | + | 0.849838i | ||||
\(19\) | − | 577462.i | − | 1.01656i | −0.861192 | − | 0.508279i | \(-0.830282\pi\) | ||
0.861192 | − | 0.508279i | \(-0.169718\pi\) | |||||||
\(20\) | 727977. | + | 791975.i | 1.01738 | + | 1.10682i | ||||
\(21\) | 1.07216e6 | − | 98625.7i | 1.20302 | − | 0.110663i | ||||
\(22\) | 236888. | + | 607760.i | 0.215596 | + | 0.553133i | ||||
\(23\) | −1.91402e6 | −1.42617 | −0.713086 | − | 0.701077i | \(-0.752703\pi\) | ||||
−0.713086 | + | 0.701077i | \(0.752703\pi\) | |||||||
\(24\) | 578790. | − | 1.51882e6i | 0.356098 | − | 0.934448i | ||||
\(25\) | −2.46115e6 | −1.26011 | ||||||||
\(26\) | −175289. | − | 449720.i | −0.0752270 | − | 0.193002i | ||||
\(27\) | 750366. | + | 2.65755e6i | 0.271729 | + | 0.962374i | ||||
\(28\) | −2.65908e6 | − | 2.89285e6i | −0.817562 | − | 0.889435i | ||||
\(29\) | − | 355438.i | − | 0.0933196i | −0.998911 | − | 0.0466598i | \(-0.985142\pi\) | ||
0.998911 | − | 0.0466598i | \(-0.0148577\pi\) | |||||||
\(30\) | 2.98126e6 | + | 5.96639e6i | 0.671977 | + | 1.34482i | ||||
\(31\) | − | 1.35660e6i | − | 0.263829i | −0.991261 | − | 0.131915i | \(-0.957888\pi\) | ||
0.991261 | − | 0.131915i | \(-0.0421125\pi\) | |||||||
\(32\) | −5.68818e6 | + | 1.68195e6i | −0.958956 | + | 0.283555i | ||||
\(33\) | 370472. | + | 4.02740e6i | 0.0543804 | + | 0.591169i | ||||
\(34\) | −6.72470e6 | + | 2.62111e6i | −0.863013 | + | 0.336379i | ||||
\(35\) | 1.61240e7 | 1.81621 | ||||||||
\(36\) | 6.05079e6 | − | 8.05903e6i | 0.600414 | − | 0.799689i | ||||
\(37\) | 4.13622e6 | 0.362824 | 0.181412 | − | 0.983407i | \(-0.441933\pi\) | ||||
0.181412 | + | 0.983407i | \(0.441933\pi\) | |||||||
\(38\) | −1.21744e7 | + | 4.74525e6i | −0.947154 | + | 0.369175i | ||||
\(39\) | −274136. | − | 2.98013e6i | −0.0189747 | − | 0.206274i | ||||
\(40\) | 1.07148e7 | − | 2.18556e7i | 0.661778 | − | 1.34987i | ||||
\(41\) | − | 1.09894e7i | − | 0.607360i | −0.952774 | − | 0.303680i | \(-0.901785\pi\) | ||
0.952774 | − | 0.303680i | \(-0.0982153\pi\) | |||||||
\(42\) | −1.08897e7 | − | 2.17934e7i | −0.539999 | − | 1.08070i | ||||
\(43\) | − | 4.05222e6i | − | 0.180753i | −0.995908 | − | 0.0903764i | \(-0.971193\pi\) | ||
0.995908 | − | 0.0903764i | \(-0.0288070\pi\) | |||||||
\(44\) | 1.08665e7 | − | 9.98842e6i | 0.437072 | − | 0.401754i | ||||
\(45\) | 7.54435e6 | + | 4.06603e7i | 0.274262 | + | 1.47814i | ||||
\(46\) | 1.57283e7 | + | 4.03525e7i | 0.517931 | + | 1.32880i | ||||
\(47\) | 8.75484e6 | 0.261703 | 0.130851 | − | 0.991402i | \(-0.458229\pi\) | ||||
0.130851 | + | 0.991402i | \(0.458229\pi\) | |||||||
\(48\) | −3.67767e7 | + | 278398.i | −0.999971 | + | 0.00756973i | ||||
\(49\) | −1.85426e7 | −0.459502 | ||||||||
\(50\) | 2.02243e7 | + | 5.18872e7i | 0.457623 | + | 1.17407i | ||||
\(51\) | −4.45621e7 | + | 4.09917e6i | −0.922358 | + | 0.0848458i | ||||
\(52\) | −8.04082e6 | + | 7.39106e6i | −0.152505 | + | 0.140182i | ||||
\(53\) | − | 9.53031e7i | − | 1.65907i | −0.558452 | − | 0.829537i | \(-0.688605\pi\) | ||
0.558452 | − | 0.829537i | \(-0.311395\pi\) | |||||||
\(54\) | 4.98618e7 | − | 3.76578e7i | 0.797987 | − | 0.602674i | ||||
\(55\) | 6.05673e7i | 0.892495i | ||||||||
\(56\) | −3.91378e7 | + | 7.98320e7i | −0.531802 | + | 1.08475i | ||||
\(57\) | −8.06751e7 | + | 7.42113e6i | −1.01228 | + | 0.0931180i | ||||
\(58\) | −7.49354e6 | + | 2.92078e6i | −0.0869483 | + | 0.0338901i | ||||
\(59\) | −1.04772e8 | −1.12567 | −0.562833 | − | 0.826570i | \(-0.690289\pi\) | ||||
−0.562833 | + | 0.826570i | \(0.690289\pi\) | |||||||
\(60\) | 1.01288e8 | − | 1.11881e8i | 1.00897 | − | 1.11449i | ||||
\(61\) | 1.54207e8 | 1.42600 | 0.713000 | − | 0.701164i | \(-0.247336\pi\) | ||||
0.713000 | + | 0.701164i | \(0.247336\pi\) | |||||||
\(62\) | −2.86005e7 | + | 1.11477e7i | −0.245817 | + | 0.0958127i | ||||
\(63\) | −2.75573e7 | − | 1.48520e8i | −0.220396 | − | 1.18782i | ||||
\(64\) | 8.22019e7 | + | 1.06100e8i | 0.612452 | + | 0.790508i | ||||
\(65\) | − | 4.48176e7i | − | 0.311414i | ||||||
\(66\) | 8.18635e7 | − | 4.09053e7i | 0.531059 | − | 0.265358i | ||||
\(67\) | − | 5.40597e7i | − | 0.327746i | −0.986481 | − | 0.163873i | \(-0.947601\pi\) | ||
0.986481 | − | 0.163873i | \(-0.0523987\pi\) | |||||||
\(68\) | 1.10519e8 | + | 1.20235e8i | 0.626827 | + | 0.681932i | ||||
\(69\) | 2.45976e7 | + | 2.67401e8i | 0.130639 | + | 1.42018i | ||||
\(70\) | −1.32498e8 | − | 3.39935e8i | −0.659579 | − | 1.69221i | ||||
\(71\) | 2.40602e8 | 1.12366 | 0.561832 | − | 0.827252i | \(-0.310097\pi\) | ||||
0.561832 | + | 0.827252i | \(0.310097\pi\) | |||||||
\(72\) | −2.19627e8 | − | 6.13418e7i | −0.963139 | − | 0.269005i | ||||
\(73\) | −1.56748e8 | −0.646023 | −0.323012 | − | 0.946395i | \(-0.604695\pi\) | ||||
−0.323012 | + | 0.946395i | \(0.604695\pi\) | |||||||
\(74\) | −3.39890e7 | − | 8.72020e7i | −0.131764 | − | 0.338052i | ||||
\(75\) | 3.16289e7 | + | 3.43838e8i | 0.115427 | + | 1.25481i | ||||
\(76\) | 2.00084e8 | + | 2.17673e8i | 0.687940 | + | 0.748418i | ||||
\(77\) | − | 2.21234e8i | − | 0.717206i | ||||||
\(78\) | −6.05760e7 | + | 3.02684e7i | −0.185300 | + | 0.0925899i | ||||
\(79\) | − | 1.04955e8i | − | 0.303167i | −0.988444 | − | 0.151584i | \(-0.951563\pi\) | ||
0.988444 | − | 0.151584i | \(-0.0484373\pi\) | |||||||
\(80\) | −5.48820e8 | − | 4.62980e7i | −1.49804 | − | 0.126374i | ||||
\(81\) | 3.61633e8 | − | 1.38984e8i | 0.933437 | − | 0.358741i | ||||
\(82\) | −2.31684e8 | + | 9.03043e7i | −0.565893 | + | 0.220570i | ||||
\(83\) | 5.74723e8 | 1.32925 | 0.664626 | − | 0.747176i | \(-0.268591\pi\) | ||||
0.664626 | + | 0.747176i | \(0.268591\pi\) | |||||||
\(84\) | −3.69976e8 | + | 4.08667e8i | −0.810806 | + | 0.895598i | ||||
\(85\) | −6.70161e8 | −1.39250 | ||||||||
\(86\) | −8.54312e7 | + | 3.32988e7i | −0.168412 | + | 0.0656425i | ||||
\(87\) | −4.96569e7 | + | 4.56784e6i | −0.0929273 | + | 0.00854818i | ||||
\(88\) | −2.99876e8 | − | 1.47015e8i | −0.533052 | − | 0.261330i | ||||
\(89\) | 8.17656e8i | 1.38139i | 0.723147 | + | 0.690694i | \(0.242695\pi\) | ||||
−0.723147 | + | 0.690694i | \(0.757305\pi\) | |||||||
\(90\) | 7.95228e8 | − | 4.93177e8i | 1.27762 | − | 0.792340i | ||||
\(91\) | 1.63705e8i | 0.250251i | ||||||||
\(92\) | 7.21487e8 | − | 6.63186e8i | 1.04999 | − | 0.965139i | ||||
\(93\) | −1.89525e8 | + | 1.74340e7i | −0.262720 | + | 0.0241671i | ||||
\(94\) | −7.19421e7 | − | 1.84574e8i | −0.0950403 | − | 0.243835i | ||||
\(95\) | −1.21326e9 | −1.52826 | ||||||||
\(96\) | 3.08079e8 | + | 7.73060e8i | 0.370204 | + | 0.928950i | ||||
\(97\) | 1.26935e9 | 1.45582 | 0.727909 | − | 0.685674i | \(-0.240492\pi\) | ||||
0.727909 | + | 0.685674i | \(0.240492\pi\) | |||||||
\(98\) | 1.52372e8 | + | 3.90925e8i | 0.166874 | + | 0.428130i | ||||
\(99\) | 5.57892e8 | − | 1.03514e8i | 0.583702 | − | 0.108304i | ||||
\(100\) | 9.27725e8 | − | 8.52758e8i | 0.927725 | − | 0.852758i | ||||
\(101\) | − | 4.91296e8i | − | 0.469783i | −0.972022 | − | 0.234891i | \(-0.924527\pi\) | ||
0.972022 | − | 0.234891i | \(-0.0754735\pi\) | |||||||
\(102\) | 4.52606e8 | + | 9.05798e8i | 0.414018 | + | 0.828572i | ||||
\(103\) | − | 1.40382e9i | − | 1.22898i | −0.788925 | − | 0.614490i | \(-0.789362\pi\) | ||
0.788925 | − | 0.614490i | \(-0.210638\pi\) | |||||||
\(104\) | 2.21897e8 | + | 1.08786e8i | 0.185995 | + | 0.0911846i | ||||
\(105\) | −2.07214e8 | − | 2.25263e9i | −0.166367 | − | 1.80858i | ||||
\(106\) | −2.00923e9 | + | 7.83145e8i | −1.54580 | + | 0.602512i | ||||
\(107\) | −2.07401e9 | −1.52962 | −0.764812 | − | 0.644254i | \(-0.777168\pi\) | ||||
−0.764812 | + | 0.644254i | \(0.777168\pi\) | |||||||
\(108\) | −1.20366e9 | − | 7.41764e8i | −0.851326 | − | 0.524637i | ||||
\(109\) | −2.56190e8 | −0.173837 | −0.0869185 | − | 0.996215i | \(-0.527702\pi\) | ||||
−0.0869185 | + | 0.996215i | \(0.527702\pi\) | |||||||
\(110\) | 1.27691e9 | − | 4.97706e8i | 0.831561 | − | 0.324120i | ||||
\(111\) | −5.31557e7 | − | 5.77856e8i | −0.0332351 | − | 0.361298i | ||||
\(112\) | 2.00467e9 | + | 1.69113e8i | 1.20382 | + | 0.101554i | ||||
\(113\) | 2.08057e9i | 1.20041i | 0.799847 | + | 0.600204i | \(0.204914\pi\) | ||||
−0.799847 | + | 0.600204i | \(0.795086\pi\) | |||||||
\(114\) | 8.19397e8 | + | 1.63985e9i | 0.454384 | + | 0.909355i | ||||
\(115\) | 4.02139e9i | 2.14406i | ||||||||
\(116\) | 1.23155e8 | + | 1.33982e8i | 0.0631526 | + | 0.0687044i | ||||
\(117\) | −4.12819e8 | + | 7.65969e7i | −0.203668 | + | 0.0377898i | ||||
\(118\) | 8.60952e8 | + | 2.20885e9i | 0.408799 | + | 1.04881i | ||||
\(119\) | 2.44790e9 | 1.11900 | ||||||||
\(120\) | −3.19106e9 | − | 1.21605e9i | −1.40482 | − | 0.535346i | ||||
\(121\) | −1.52692e9 | −0.647562 | ||||||||
\(122\) | −1.26718e9 | − | 3.25108e9i | −0.517869 | − | 1.32864i | ||||
\(123\) | −1.53529e9 | + | 1.41228e8i | −0.604806 | + | 0.0556348i | ||||
\(124\) | 4.70044e8 | + | 5.11366e8i | 0.178542 | + | 0.194238i | ||||
\(125\) | 1.06736e9i | 0.391036i | ||||||||
\(126\) | −2.90473e9 | + | 1.80143e9i | −1.02669 | + | 0.636721i | ||||
\(127\) | − | 3.44432e9i | − | 1.17486i | −0.809275 | − | 0.587431i | \(-0.800139\pi\) | ||
0.809275 | − | 0.587431i | \(-0.199861\pi\) | |||||||
\(128\) | 1.56138e9 | − | 2.60489e9i | 0.514118 | − | 0.857719i | ||||
\(129\) | −5.66121e8 | + | 5.20763e7i | −0.179993 | + | 0.0165572i | ||||
\(130\) | −9.44869e8 | + | 3.68284e8i | −0.290153 | + | 0.113094i | ||||
\(131\) | 2.05126e9 | 0.608556 | 0.304278 | − | 0.952583i | \(-0.401585\pi\) | ||||
0.304278 | + | 0.952583i | \(0.401585\pi\) | |||||||
\(132\) | −1.53509e9 | − | 1.38976e9i | −0.440101 | − | 0.398434i | ||||
\(133\) | 4.43167e9 | 1.22810 | ||||||||
\(134\) | −1.13972e9 | + | 4.44231e8i | −0.305369 | + | 0.119025i | ||||
\(135\) | 5.58355e9 | − | 1.57653e9i | 1.44680 | − | 0.408508i | ||||
\(136\) | 1.62668e9 | − | 3.31805e9i | 0.407734 | − | 0.831683i | ||||
\(137\) | − | 6.38949e8i | − | 0.154962i | −0.996994 | − | 0.0774808i | \(-0.975312\pi\) | ||
0.996994 | − | 0.0774808i | \(-0.0246876\pi\) | |||||||
\(138\) | 5.43537e9 | − | 2.71592e9i | 1.27577 | − | 0.637473i | ||||
\(139\) | 3.37773e9i | 0.767464i | 0.923445 | + | 0.383732i | \(0.125361\pi\) | ||||
−0.923445 | + | 0.383732i | \(0.874639\pi\) | |||||||
\(140\) | −6.07792e9 | + | 5.58678e9i | −1.33715 | + | 1.22909i | ||||
\(141\) | −1.12511e8 | − | 1.22311e9i | −0.0239723 | − | 0.260602i | ||||
\(142\) | −1.97712e9 | − | 5.07250e9i | −0.408072 | − | 1.04695i | ||||
\(143\) | −6.14932e8 | −0.122974 | ||||||||
\(144\) | 5.11522e8 | + | 5.13436e9i | 0.0991364 | + | 0.995074i | ||||
\(145\) | −7.46781e8 | −0.140293 | ||||||||
\(146\) | 1.28806e9 | + | 3.30464e9i | 0.234611 | + | 0.601917i | ||||
\(147\) | 2.38296e8 | + | 2.59051e9i | 0.0420909 | + | 0.457570i | ||||
\(148\) | −1.55914e9 | + | 1.43315e9i | −0.267121 | + | 0.245535i | ||||
\(149\) | 2.50542e9i | 0.416430i | 0.978083 | + | 0.208215i | \(0.0667655\pi\) | ||||
−0.978083 | + | 0.208215i | \(0.933235\pi\) | |||||||
\(150\) | 6.98907e9 | − | 3.49227e9i | 1.12722 | − | 0.563245i | ||||
\(151\) | − | 7.67809e9i | − | 1.20187i | −0.799298 | − | 0.600935i | \(-0.794795\pi\) | ||
0.799298 | − | 0.600935i | \(-0.205205\pi\) | |||||||
\(152\) | 2.94494e9 | − | 6.00699e9i | 0.447487 | − | 0.912769i | ||||
\(153\) | 1.14536e9 | + | 6.17292e9i | 0.168978 | + | 0.910708i | ||||
\(154\) | −4.66418e9 | + | 1.81797e9i | −0.668239 | + | 0.260462i | ||||
\(155\) | −2.85023e9 | −0.396632 | ||||||||
\(156\) | 1.13591e9 | + | 1.02837e9i | 0.153562 | + | 0.139023i | ||||
\(157\) | −7.74539e9 | −1.01741 | −0.508703 | − | 0.860942i | \(-0.669875\pi\) | ||||
−0.508703 | + | 0.860942i | \(0.669875\pi\) | |||||||
\(158\) | −2.21273e9 | + | 8.62461e8i | −0.282469 | + | 0.110099i | ||||
\(159\) | −1.33144e10 | + | 1.22477e9i | −1.65210 | + | 0.151973i | ||||
\(160\) | 3.53380e9 | + | 1.19510e10i | 0.426287 | + | 1.44166i | ||||
\(161\) | − | 1.46889e10i | − | 1.72296i | ||||||
\(162\) | −5.90182e9 | − | 6.48205e9i | −0.673237 | − | 0.739427i | ||||
\(163\) | 9.36141e9i | 1.03872i | 0.854557 | + | 0.519358i | \(0.173829\pi\) | ||||
−0.854557 | + | 0.519358i | \(0.826171\pi\) | |||||||
\(164\) | 3.80769e9 | + | 4.14243e9i | 0.411021 | + | 0.447155i | ||||
\(165\) | 8.46163e9 | − | 7.78367e8i | 0.888743 | − | 0.0817536i | ||||
\(166\) | −4.72274e9 | − | 1.21166e10i | −0.482734 | − | 1.23850i | ||||
\(167\) | −4.85295e9 | −0.482816 | −0.241408 | − | 0.970424i | \(-0.577609\pi\) | ||||
−0.241408 | + | 0.970424i | \(0.577609\pi\) | |||||||
\(168\) | 1.16560e10 | + | 4.44185e9i | 1.12891 | + | 0.430202i | ||||
\(169\) | −1.01495e10 | −0.957091 | ||||||||
\(170\) | 5.50699e9 | + | 1.41287e10i | 0.505701 | + | 1.29742i | ||||
\(171\) | 2.07356e9 | + | 1.11754e10i | 0.185453 | + | 0.999499i | ||||
\(172\) | 1.40405e9 | + | 1.52748e9i | 0.122322 | + | 0.133075i | ||||
\(173\) | − | 6.72186e9i | − | 0.570535i | −0.958448 | − | 0.285267i | \(-0.907918\pi\) | ||
0.958448 | − | 0.285267i | \(-0.0920824\pi\) | |||||||
\(174\) | 5.04353e8 | + | 1.00936e9i | 0.0417122 | + | 0.0834784i | ||||
\(175\) | − | 1.88878e10i | − | 1.52233i | ||||||
\(176\) | −6.35245e8 | + | 7.53024e9i | −0.0499039 | + | 0.591564i | ||||
\(177\) | 1.34645e9 | + | 1.46373e10i | 0.103112 | + | 1.12093i | ||||
\(178\) | 1.72383e10 | − | 6.71902e9i | 1.28708 | − | 0.501667i | ||||
\(179\) | 6.85396e9 | 0.499003 | 0.249502 | − | 0.968374i | \(-0.419733\pi\) | ||||
0.249502 | + | 0.968374i | \(0.419733\pi\) | |||||||
\(180\) | −1.69321e10 | − | 1.27128e10i | −1.20223 | − | 0.902641i | ||||
\(181\) | 2.22180e10 | 1.53869 | 0.769345 | − | 0.638834i | \(-0.220583\pi\) | ||||
0.769345 | + | 0.638834i | \(0.220583\pi\) | |||||||
\(182\) | 3.45132e9 | − | 1.34523e9i | 0.233165 | − | 0.0908816i | ||||
\(183\) | −1.98176e9 | − | 2.15437e10i | −0.130623 | − | 1.42001i | ||||
\(184\) | −1.99104e10 | − | 9.76112e9i | −1.28056 | − | 0.627798i | ||||
\(185\) | − | 8.69026e9i | − | 0.545457i | ||||||
\(186\) | 1.92496e9 | + | 3.85241e9i | 0.117927 | + | 0.236007i | ||||
\(187\) | 9.19513e9i | 0.549883i | ||||||||
\(188\) | −3.30012e9 | + | 3.03345e9i | −0.192672 | + | 0.177103i | ||||
\(189\) | −2.03950e10 | + | 5.75860e9i | −1.16264 | + | 0.328276i | ||||
\(190\) | 9.96984e9 | + | 2.55786e10i | 0.555005 | + | 1.42392i | ||||
\(191\) | 2.07874e10 | 1.13019 | 0.565093 | − | 0.825027i | \(-0.308840\pi\) | ||||
0.565093 | + | 0.825027i | \(0.308840\pi\) | |||||||
\(192\) | 1.37665e10 | − | 1.28476e10i | 0.731083 | − | 0.682288i | ||||
\(193\) | 1.41064e10 | 0.731824 | 0.365912 | − | 0.930649i | \(-0.380757\pi\) | ||||
0.365912 | + | 0.930649i | \(0.380757\pi\) | |||||||
\(194\) | −1.04307e10 | − | 2.67610e10i | −0.528697 | − | 1.35642i | ||||
\(195\) | −6.26129e9 | + | 5.75963e8i | −0.310105 | + | 0.0285259i | ||||
\(196\) | 6.98959e9 | − | 6.42478e9i | 0.338298 | − | 0.310961i | ||||
\(197\) | 1.84807e10i | 0.874219i | 0.899408 | + | 0.437109i | \(0.143998\pi\) | ||||
−0.899408 | + | 0.437109i | \(0.856002\pi\) | |||||||
\(198\) | −6.76678e9 | − | 1.09112e10i | −0.312888 | − | 0.504519i | ||||
\(199\) | 3.56141e10i | 1.60984i | 0.593381 | + | 0.804922i | \(0.297793\pi\) | ||||
−0.593381 | + | 0.804922i | \(0.702207\pi\) | |||||||
\(200\) | −2.56018e10 | − | 1.25513e10i | −1.13145 | − | 0.554696i | ||||
\(201\) | −7.55248e9 | + | 6.94737e8i | −0.326368 | + | 0.0300219i | ||||
\(202\) | −1.03578e10 | + | 4.03718e9i | −0.437709 | + | 0.170607i | ||||
\(203\) | 2.72777e9 | 0.112739 | ||||||||
\(204\) | 1.53773e10 | − | 1.69854e10i | 0.621647 | − | 0.686657i | ||||
\(205\) | −2.30889e10 | −0.913083 | ||||||||
\(206\) | −2.95962e10 | + | 1.15358e10i | −1.14507 | + | 0.446318i | ||||
\(207\) | 3.70415e10 | − | 6.87289e9i | 1.40224 | − | 0.260179i | ||||
\(208\) | 4.70058e8 | − | 5.57210e9i | 0.0174127 | − | 0.206411i | ||||
\(209\) | 1.66469e10i | 0.603495i | ||||||||
\(210\) | −4.57883e10 | + | 2.28794e10i | −1.62468 | + | 0.811815i | ||||
\(211\) | − | 1.38534e10i | − | 0.481154i | −0.970630 | − | 0.240577i | \(-0.922663\pi\) | ||
0.970630 | − | 0.240577i | \(-0.0773367\pi\) | |||||||
\(212\) | 3.30214e10 | + | 3.59243e10i | 1.12275 | + | 1.22145i | ||||
\(213\) | −3.09204e9 | − | 3.36136e10i | −0.102929 | − | 1.11894i | ||||
\(214\) | 1.70430e10 | + | 4.37255e10i | 0.555501 | + | 1.42519i | ||||
\(215\) | −8.51378e9 | −0.271738 | ||||||||
\(216\) | −5.74734e9 | + | 3.14715e10i | −0.179649 | + | 0.983731i | ||||
\(217\) | 1.04110e10 | 0.318732 | ||||||||
\(218\) | 2.10522e9 | + | 5.40113e9i | 0.0631310 | + | 0.161969i | ||||
\(219\) | 2.01441e9 | + | 2.18986e10i | 0.0591765 | + | 0.643307i | ||||
\(220\) | −2.09858e10 | − | 2.28307e10i | −0.603982 | − | 0.657079i | ||||
\(221\) | − | 6.80406e9i | − | 0.191868i | ||||||
\(222\) | −1.17459e10 | + | 5.86914e9i | −0.324561 | + | 0.162176i | ||||
\(223\) | − | 1.97241e10i | − | 0.534104i | −0.963682 | − | 0.267052i | \(-0.913950\pi\) | ||
0.963682 | − | 0.267052i | \(-0.0860495\pi\) | |||||||
\(224\) | −1.29079e10 | − | 4.36533e10i | −0.342562 | − | 1.15851i | ||||
\(225\) | 4.76298e10 | − | 8.83751e9i | 1.23896 | − | 0.229884i | ||||
\(226\) | 4.38637e10 | − | 1.70969e10i | 1.11845 | − | 0.435942i | ||||
\(227\) | −5.62040e10 | −1.40492 | −0.702459 | − | 0.711725i | \(-0.747914\pi\) | ||||
−0.702459 | + | 0.711725i | \(0.747914\pi\) | |||||||
\(228\) | 2.78390e10 | − | 3.07504e10i | 0.682255 | − | 0.753604i | ||||
\(229\) | −2.32223e10 | −0.558014 | −0.279007 | − | 0.960289i | \(-0.590005\pi\) | ||||
−0.279007 | + | 0.960289i | \(0.590005\pi\) | |||||||
\(230\) | 8.47812e10 | − | 3.30454e10i | 1.99767 | − | 0.778639i | ||||
\(231\) | −3.09078e10 | + | 2.84314e9i | −0.714191 | + | 0.0656969i | ||||
\(232\) | 1.81266e9 | − | 3.69741e9i | 0.0410791 | − | 0.0837918i | ||||
\(233\) | 9.42920e9i | 0.209591i | 0.994494 | + | 0.104796i | \(0.0334188\pi\) | ||||
−0.994494 | + | 0.104796i | \(0.966581\pi\) | |||||||
\(234\) | 5.00716e9 | + | 8.07386e9i | 0.109174 | + | 0.176039i | ||||
\(235\) | − | 1.83941e10i | − | 0.393434i | ||||||
\(236\) | 3.94935e10 | − | 3.63021e10i | 0.828746 | − | 0.761777i | ||||
\(237\) | −1.46629e10 | + | 1.34881e9i | −0.301893 | + | 0.0277705i | ||||
\(238\) | −2.01154e10 | − | 5.16079e10i | −0.406379 | − | 1.04261i | ||||
\(239\) | −2.06039e10 | −0.408468 | −0.204234 | − | 0.978922i | \(-0.565470\pi\) | ||||
−0.204234 | + | 0.978922i | \(0.565470\pi\) | |||||||
\(240\) | 5.84919e8 | + | 7.72685e10i | 0.0113801 | + | 1.50332i | ||||
\(241\) | 1.33499e10 | 0.254919 | 0.127459 | − | 0.991844i | \(-0.459318\pi\) | ||||
0.127459 | + | 0.991844i | \(0.459318\pi\) | |||||||
\(242\) | 1.25473e10 | + | 3.21913e10i | 0.235170 | + | 0.603350i | ||||
\(243\) | −2.40643e10 | − | 4.87362e10i | −0.442737 | − | 0.896652i | ||||
\(244\) | −5.81280e10 | + | 5.34309e10i | −1.04986 | + | 0.965024i | ||||
\(245\) | 3.89583e10i | 0.690800i | ||||||||
\(246\) | 1.55935e10 | + | 3.12072e10i | 0.271479 | + | 0.543309i | ||||
\(247\) | − | 1.23181e10i | − | 0.210575i | ||||||
\(248\) | 6.91836e9 | − | 1.41118e10i | 0.116137 | − | 0.236892i | ||||
\(249\) | −7.38594e9 | − | 8.02925e10i | −0.121761 | − | 1.32366i | ||||
\(250\) | 2.25027e10 | − | 8.77094e9i | 0.364338 | − | 0.142009i | ||||
\(251\) | 5.75090e10 | 0.914542 | 0.457271 | − | 0.889327i | \(-0.348827\pi\) | ||||
0.457271 | + | 0.889327i | \(0.348827\pi\) | |||||||
\(252\) | 6.18481e10 | + | 4.64361e10i | 0.966104 | + | 0.725359i | ||||
\(253\) | 5.51767e10 | 0.846668 | ||||||||
\(254\) | −7.26150e10 | + | 2.83034e10i | −1.09465 | + | 0.426665i | ||||
\(255\) | 8.61243e9 | + | 9.36256e10i | 0.127554 | + | 1.38664i | ||||
\(256\) | −6.77483e10 | − | 1.15123e10i | −0.985868 | − | 0.167526i | ||||
\(257\) | 4.18861e10i | 0.598923i | 0.954108 | + | 0.299461i | \(0.0968070\pi\) | ||||
−0.954108 | + | 0.299461i | \(0.903193\pi\) | |||||||
\(258\) | 5.74995e9 | + | 1.15073e10i | 0.0807933 | + | 0.161691i | ||||
\(259\) | 3.17429e10i | 0.438327i | ||||||||
\(260\) | 1.55287e10 | + | 1.68939e10i | 0.210745 | + | 0.229271i | ||||
\(261\) | 1.27631e9 | + | 6.87868e9i | 0.0170245 | + | 0.0917536i | ||||
\(262\) | −1.68561e10 | − | 4.32459e10i | −0.221004 | − | 0.567007i | ||||
\(263\) | −6.46079e10 | −0.832692 | −0.416346 | − | 0.909206i | \(-0.636690\pi\) | ||||
−0.416346 | + | 0.909206i | \(0.636690\pi\) | |||||||
\(264\) | −1.66851e10 | + | 4.37839e10i | −0.211403 | + | 0.554749i | ||||
\(265\) | −2.00233e11 | −2.49419 | ||||||||
\(266\) | −3.64168e10 | − | 9.34309e10i | −0.446000 | − | 1.14426i | ||||
\(267\) | 1.14232e11 | − | 1.05079e10i | 1.37558 | − | 0.126537i | ||||
\(268\) | 1.87310e10 | + | 2.03777e10i | 0.221797 | + | 0.241295i | ||||
\(269\) | − | 9.10534e10i | − | 1.06026i | −0.847917 | − | 0.530128i | \(-0.822144\pi\) | ||
0.847917 | − | 0.530128i | \(-0.177856\pi\) | |||||||
\(270\) | −7.91196e10 | − | 1.04760e11i | −0.906040 | − | 1.19967i | ||||
\(271\) | 3.93278e10i | 0.442932i | 0.975168 | + | 0.221466i | \(0.0710842\pi\) | ||||
−0.975168 | + | 0.221466i | \(0.928916\pi\) | |||||||
\(272\) | −8.33200e10 | − | 7.02881e9i | −0.922974 | − | 0.0778613i | ||||
\(273\) | 2.28706e10 | − | 2.10382e9i | 0.249199 | − | 0.0229233i | ||||
\(274\) | −1.34707e10 | + | 5.25051e9i | −0.144382 | + | 0.0562761i | ||||
\(275\) | 7.09489e10 | 0.748081 | ||||||||
\(276\) | −1.01923e11 | − | 9.22735e10i | −1.05726 | − | 0.957164i | ||||
\(277\) | 1.45771e11 | 1.48769 | 0.743846 | − | 0.668351i | \(-0.232999\pi\) | ||||
0.743846 | + | 0.668351i | \(0.232999\pi\) | |||||||
\(278\) | 7.12111e10 | − | 2.77562e10i | 0.715066 | − | 0.278713i | ||||
\(279\) | 4.87128e9 | + | 2.62538e10i | 0.0481309 | + | 0.259402i | ||||
\(280\) | 1.67728e11 | + | 8.22292e10i | 1.63078 | + | 0.799493i | ||||
\(281\) | 1.58074e11i | 1.51246i | 0.654308 | + | 0.756228i | \(0.272960\pi\) | ||||
−0.654308 | + | 0.756228i | \(0.727040\pi\) | |||||||
\(282\) | −2.48617e10 | + | 1.24228e10i | −0.234104 | + | 0.116976i | ||||
\(283\) | − | 1.61476e11i | − | 1.49647i | −0.663432 | − | 0.748237i | \(-0.730901\pi\) | ||
0.663432 | − | 0.748237i | \(-0.269099\pi\) | |||||||
\(284\) | −9.06944e10 | + | 8.33656e10i | −0.827271 | + | 0.760422i | ||||
\(285\) | 1.55919e10 | + | 1.69500e11i | 0.139990 | + | 1.52183i | ||||
\(286\) | 5.05315e9 | + | 1.29643e10i | 0.0446596 | + | 0.114579i | ||||
\(287\) | 8.43367e10 | 0.733750 | ||||||||
\(288\) | 1.04042e11 | − | 5.29754e10i | 0.891134 | − | 0.453741i | ||||
\(289\) | 1.68462e10 | 0.142057 | ||||||||
\(290\) | 6.13661e9 | + | 1.57441e10i | 0.0509492 | + | 0.130715i | ||||
\(291\) | −1.63127e10 | − | 1.77336e11i | −0.133355 | − | 1.44970i | ||||
\(292\) | 5.90858e10 | − | 5.43112e10i | 0.475620 | − | 0.437186i | ||||
\(293\) | − | 3.14377e10i | − | 0.249199i | −0.992207 | − | 0.124599i | \(-0.960235\pi\) | ||
0.992207 | − | 0.124599i | \(-0.0397646\pi\) | |||||||
\(294\) | 5.26565e10 | − | 2.63112e10i | 0.411045 | − | 0.205389i | ||||
\(295\) | 2.20127e11i | 1.69229i | ||||||||
\(296\) | 4.30266e10 | + | 2.10939e10i | 0.325780 | + | 0.159714i | ||||
\(297\) | −2.16312e10 | − | 7.66107e10i | −0.161316 | − | 0.571328i | ||||
\(298\) | 5.28207e10 | − | 2.05881e10i | 0.387999 | − | 0.151232i | ||||
\(299\) | −4.08287e10 | −0.295424 | ||||||||
\(300\) | −1.31058e11 | − | 1.18650e11i | −0.934153 | − | 0.845711i | ||||
\(301\) | 3.10983e10 | 0.218367 | ||||||||
\(302\) | −1.61874e11 | + | 6.30941e10i | −1.11981 | + | 0.436473i | ||||
\(303\) | −6.86371e10 | + | 6.31379e9i | −0.467808 | + | 0.0430326i | ||||
\(304\) | −1.50843e11 | − | 1.27250e10i | −1.01296 | − | 0.0854526i | ||||
\(305\) | − | 3.23991e11i | − | 2.14380i | ||||||
\(306\) | 1.20729e11 | − | 7.48725e10i | 0.787164 | − | 0.488176i | ||||
\(307\) | − | 1.43460e10i | − | 0.0921742i | −0.998937 | − | 0.0460871i | \(-0.985325\pi\) | ||
0.998937 | − | 0.0460871i | \(-0.0146752\pi\) | |||||||
\(308\) | 7.66550e10 | + | 8.33938e10i | 0.485358 | + | 0.528026i | ||||
\(309\) | −1.96123e11 | + | 1.80409e10i | −1.22381 | + | 0.112576i | ||||
\(310\) | 2.34215e10 | + | 6.00901e10i | 0.144041 | + | 0.369552i | ||||
\(311\) | 9.27699e10 | 0.562323 | 0.281161 | − | 0.959661i | \(-0.409280\pi\) | ||||
0.281161 | + | 0.959661i | \(0.409280\pi\) | |||||||
\(312\) | 1.23464e10 | − | 3.23985e10i | 0.0737639 | − | 0.193566i | ||||
\(313\) | 1.52780e11 | 0.899742 | 0.449871 | − | 0.893094i | \(-0.351470\pi\) | ||||
0.449871 | + | 0.893094i | \(0.351470\pi\) | |||||||
\(314\) | 6.36470e10 | + | 1.63293e11i | 0.369483 | + | 0.947944i | ||||
\(315\) | −3.12043e11 | + | 5.78983e10i | −1.78573 | + | 0.331336i | ||||
\(316\) | 3.63658e10 | + | 3.95627e10i | 0.205164 | + | 0.223200i | ||||
\(317\) | − | 1.55635e11i | − | 0.865648i | −0.901479 | − | 0.432824i | \(-0.857517\pi\) | ||
0.901479 | − | 0.432824i | \(-0.142483\pi\) | |||||||
\(318\) | 1.35232e11 | + | 2.70638e11i | 0.741576 | + | 1.48411i | ||||
\(319\) | 1.02464e10i | 0.0554006i | ||||||||
\(320\) | 2.22918e11 | − | 1.72707e11i | 1.18842 | − | 0.920738i | ||||
\(321\) | 2.66537e10 | + | 2.89753e11i | 0.140115 | + | 1.52319i | ||||
\(322\) | −3.09680e11 | + | 1.20705e11i | −1.60532 | + | 0.625712i | ||||
\(323\) | −1.84193e11 | −0.941590 | ||||||||
\(324\) | −8.81606e10 | + | 1.77691e11i | −0.444449 | + | 0.895804i | ||||
\(325\) | −5.24996e10 | −0.261024 | ||||||||
\(326\) | 1.97362e11 | − | 7.69265e10i | 0.967799 | − | 0.377222i | ||||
\(327\) | 3.29237e9 | + | 3.57913e10i | 0.0159237 | + | 0.173106i | ||||
\(328\) | 5.60436e10 | − | 1.14316e11i | 0.267358 | − | 0.545349i | ||||
\(329\) | 6.71880e10i | 0.316162i | ||||||||
\(330\) | −8.59427e10 | − | 1.71997e11i | −0.398929 | − | 0.798375i | ||||
\(331\) | − | 8.55051e10i | − | 0.391531i | −0.980651 | − | 0.195766i | \(-0.937281\pi\) | ||
0.980651 | − | 0.195766i | \(-0.0627192\pi\) | |||||||
\(332\) | −2.16641e11 | + | 1.99135e11i | −0.978632 | + | 0.899551i | ||||
\(333\) | −8.00469e10 | + | 1.48524e10i | −0.356735 | + | 0.0661907i | ||||
\(334\) | 3.98787e10 | + | 1.02313e11i | 0.175340 | + | 0.449852i | ||||
\(335\) | −1.13580e11 | −0.492721 | ||||||||
\(336\) | −2.13653e9 | − | 2.82239e11i | −0.00914498 | − | 1.20806i | ||||
\(337\) | −3.45091e11 | −1.45747 | −0.728734 | − | 0.684797i | \(-0.759891\pi\) | ||||
−0.728734 | + | 0.684797i | \(0.759891\pi\) | |||||||
\(338\) | 8.34024e10 | + | 2.13977e11i | 0.347579 | + | 0.891747i | ||||
\(339\) | 2.90668e11 | − | 2.67380e10i | 1.19536 | − | 0.109959i | ||||
\(340\) | 2.52616e11 | − | 2.32203e11i | 1.02519 | − | 0.942350i | ||||
\(341\) | 3.91074e10i | 0.156626i | ||||||||
\(342\) | 2.18568e11 | − | 1.35549e11i | 0.863910 | − | 0.535771i | ||||
\(343\) | 1.67386e11i | 0.652974i | ||||||||
\(344\) | 2.06655e10 | − | 4.21528e10i | 0.0795670 | − | 0.162298i | ||||
\(345\) | 5.61814e11 | − | 5.16801e10i | 2.13504 | − | 0.196398i | ||||
\(346\) | −1.41714e11 | + | 5.52363e10i | −0.531582 | + | 0.207196i | ||||
\(347\) | 1.99185e10 | 0.0737522 | 0.0368761 | − | 0.999320i | \(-0.488259\pi\) | ||||
0.0368761 | + | 0.999320i | \(0.488259\pi\) | |||||||
\(348\) | 1.71354e10 | − | 1.89274e10i | 0.0626307 | − | 0.0691805i | ||||
\(349\) | 7.94103e10 | 0.286525 | 0.143263 | − | 0.989685i | \(-0.454241\pi\) | ||||
0.143263 | + | 0.989685i | \(0.454241\pi\) | |||||||
\(350\) | −3.98203e11 | + | 1.55209e11i | −1.41840 | + | 0.552853i | ||||
\(351\) | 1.60063e10 | + | 5.66891e10i | 0.0562872 | + | 0.199351i | ||||
\(352\) | 1.63977e11 | − | 4.84865e10i | 0.569299 | − | 0.168337i | ||||
\(353\) | − | 4.67463e10i | − | 0.160236i | −0.996785 | − | 0.0801182i | \(-0.974470\pi\) | ||
0.996785 | − | 0.0801182i | \(-0.0255298\pi\) | |||||||
\(354\) | 2.97526e11 | − | 1.48667e11i | 1.00696 | − | 0.503153i | ||||
\(355\) | − | 5.05508e11i | − | 1.68928i | ||||||
\(356\) | −2.83308e11 | − | 3.08214e11i | −0.934833 | − | 1.01702i | ||||
\(357\) | −3.14586e10 | − | 3.41986e11i | −0.102502 | − | 1.11430i | ||||
\(358\) | −5.63219e10 | − | 1.44499e11i | −0.181219 | − | 0.464934i | ||||
\(359\) | 2.39991e11 | 0.762554 | 0.381277 | − | 0.924461i | \(-0.375484\pi\) | ||||
0.381277 | + | 0.924461i | \(0.375484\pi\) | |||||||
\(360\) | −1.28880e11 | + | 4.61439e11i | −0.404412 | + | 1.44795i | ||||
\(361\) | −1.07750e10 | −0.0333915 | ||||||||
\(362\) | −1.82574e11 | − | 4.68412e11i | −0.558793 | − | 1.43364i | ||||
\(363\) | 1.96228e10 | + | 2.13320e11i | 0.0593174 | + | 0.644839i | ||||
\(364\) | −5.67219e10 | − | 6.17084e10i | −0.169354 | − | 0.184242i | ||||
\(365\) | 3.29329e11i | 0.971209i | ||||||||
\(366\) | −4.37911e11 | + | 2.18814e11i | −1.27562 | + | 0.637397i | ||||
\(367\) | − | 2.06826e11i | − | 0.595126i | −0.954702 | − | 0.297563i | \(-0.903826\pi\) | ||
0.954702 | − | 0.297563i | \(-0.0961738\pi\) | |||||||
\(368\) | −4.21774e10 | + | 4.99974e11i | −0.119885 | + | 1.42112i | ||||
\(369\) | 3.94608e10 | + | 2.12674e11i | 0.110802 | + | 0.597167i | ||||
\(370\) | −1.83213e11 | + | 7.14115e10i | −0.508216 | + | 0.198089i | ||||
\(371\) | 7.31393e11 | 2.00432 | ||||||||
\(372\) | 6.54004e10 | − | 7.22399e10i | 0.177067 | − | 0.195584i | ||||
\(373\) | 1.18281e11 | 0.316392 | 0.158196 | − | 0.987408i | \(-0.449432\pi\) | ||||
0.158196 | + | 0.987408i | \(0.449432\pi\) | |||||||
\(374\) | 1.93857e11 | − | 7.55602e10i | 0.512341 | − | 0.199697i | ||||
\(375\) | 1.49117e11 | − | 1.37170e10i | 0.389392 | − | 0.0358193i | ||||
\(376\) | 9.10713e10 | + | 4.46479e10i | 0.234983 | + | 0.115201i | ||||
\(377\) | − | 7.58198e9i | − | 0.0193307i | ||||||
\(378\) | 2.89000e11 | + | 3.82659e11i | 0.728090 | + | 0.964047i | ||||
\(379\) | 4.70908e11i | 1.17236i | 0.810182 | + | 0.586178i | \(0.199368\pi\) | ||||
−0.810182 | + | 0.586178i | \(0.800632\pi\) | |||||||
\(380\) | 4.57335e11 | − | 4.20379e11i | 1.12515 | − | 1.03423i | ||||
\(381\) | −4.81193e11 | + | 4.42639e10i | −1.16992 | + | 0.107619i | ||||
\(382\) | −1.70818e11 | − | 4.38251e11i | −0.410440 | − | 1.05302i | ||||
\(383\) | −7.26035e11 | −1.72410 | −0.862051 | − | 0.506821i | \(-0.830820\pi\) | ||||
−0.862051 | + | 0.506821i | \(0.830820\pi\) | |||||||
\(384\) | −3.83986e11 | − | 1.84658e11i | −0.901207 | − | 0.433388i | ||||
\(385\) | −4.64817e11 | −1.07822 | ||||||||
\(386\) | −1.15918e11 | − | 2.97398e11i | −0.265771 | − | 0.681860i | ||||
\(387\) | 1.45508e10 | + | 7.84214e10i | 0.0329751 | + | 0.177720i | ||||
\(388\) | −4.78478e11 | + | 4.39813e11i | −1.07181 | + | 0.985202i | ||||
\(389\) | 6.68911e11i | 1.48114i | 0.671981 | + | 0.740569i | \(0.265444\pi\) | ||||
−0.671981 | + | 0.740569i | \(0.734556\pi\) | |||||||
\(390\) | 6.35944e10 | + | 1.27271e11i | 0.139196 | + | 0.278573i | ||||
\(391\) | 6.10515e11i | 1.32099i | ||||||||
\(392\) | −1.92887e11 | − | 9.45634e10i | −0.412588 | − | 0.202272i | ||||
\(393\) | −2.63614e10 | − | 2.86574e11i | −0.0557444 | − | 0.605997i | ||||
\(394\) | 3.89620e11 | − | 1.51863e11i | 0.814533 | − | 0.317483i | ||||
\(395\) | −2.20513e11 | −0.455771 | ||||||||
\(396\) | −1.74430e11 | + | 2.32322e11i | −0.356445 | + | 0.474748i | ||||
\(397\) | 5.64402e11 | 1.14033 | 0.570166 | − | 0.821530i | \(-0.306879\pi\) | ||||
0.570166 | + | 0.821530i | \(0.306879\pi\) | |||||||
\(398\) | 7.50837e11 | − | 2.92656e11i | 1.49993 | − | 0.584634i | ||||
\(399\) | −5.69526e10 | − | 6.19132e11i | −0.112496 | − | 1.22294i | ||||
\(400\) | −5.42338e10 | + | 6.42891e11i | −0.105925 | + | 1.25565i | ||||
\(401\) | − | 1.55087e11i | − | 0.299519i | −0.988722 | − | 0.149760i | \(-0.952150\pi\) | ||
0.988722 | − | 0.149760i | \(-0.0478500\pi\) | |||||||
\(402\) | 7.67087e10 | + | 1.53517e11i | 0.146496 | + | 0.293183i | ||||
\(403\) | − | 2.89380e10i | − | 0.0546508i | ||||||
\(404\) | 1.70228e11 | + | 1.85193e11i | 0.317918 | + | 0.345867i | ||||
\(405\) | −2.92007e11 | − | 7.59796e11i | −0.539319 | − | 1.40330i | ||||
\(406\) | −2.24152e10 | − | 5.75083e10i | −0.0409426 | − | 0.105042i | ||||
\(407\) | −1.19237e11 | −0.215396 | ||||||||
\(408\) | −4.84457e11 | − | 1.84616e11i | −0.865535 | − | 0.329837i | ||||
\(409\) | 4.62020e11 | 0.816406 | 0.408203 | − | 0.912891i | \(-0.366156\pi\) | ||||
0.408203 | + | 0.912891i | \(0.366156\pi\) | |||||||
\(410\) | 1.89731e11 | + | 4.86772e11i | 0.331597 | + | 0.850744i | ||||
\(411\) | −8.92653e10 | + | 8.21132e9i | −0.154310 | + | 0.0141947i | ||||
\(412\) | 4.86408e11 | + | 5.29168e11i | 0.831693 | + | 0.904808i | ||||
\(413\) | − | 8.04058e11i | − | 1.35992i | ||||||
\(414\) | −4.49283e11 | − | 7.24452e11i | −0.751655 | − | 1.21201i | ||||
\(415\) | − | 1.20750e12i | − | 1.99835i | ||||||
\(416\) | −1.21337e11 | + | 3.58782e10i | −0.198643 | + | 0.0587369i | ||||
\(417\) | 4.71890e11 | − | 4.34081e10i | 0.764237 | − | 0.0703006i | ||||
\(418\) | 3.50958e11 | − | 1.36794e11i | 0.562292 | − | 0.219166i | ||||
\(419\) | −9.39174e11 | −1.48862 | −0.744309 | − | 0.667836i | \(-0.767221\pi\) | ||||
−0.744309 | + | 0.667836i | \(0.767221\pi\) | |||||||
\(420\) | 8.58617e11 | + | 7.77326e11i | 1.34641 | + | 1.21894i | ||||
\(421\) | −5.24719e10 | −0.0814062 | −0.0407031 | − | 0.999171i | \(-0.512960\pi\) | ||||
−0.0407031 | + | 0.999171i | \(0.512960\pi\) | |||||||
\(422\) | −2.92064e11 | + | 1.13839e11i | −0.448304 | + | 0.174737i | ||||
\(423\) | −1.69430e11 | + | 3.14370e10i | −0.257311 | + | 0.0477429i | ||||
\(424\) | 4.86027e11 | − | 9.91381e11i | 0.730321 | − | 1.48968i | ||||
\(425\) | 7.85031e11i | 1.16718i | ||||||||
\(426\) | −6.83251e11 | + | 3.41405e11i | −1.00517 | + | 0.502257i | ||||
\(427\) | 1.18344e12i | 1.72275i | ||||||||
\(428\) | 7.81796e11 | − | 7.18621e11i | 1.12615 | − | 1.03515i | ||||
\(429\) | 7.90267e9 | + | 8.59099e10i | 0.0112646 | + | 0.122457i | ||||
\(430\) | 6.99613e10 | + | 1.79492e11i | 0.0986847 | + | 0.253185i | ||||
\(431\) | 1.03685e12 | 1.44733 | 0.723667 | − | 0.690150i | \(-0.242455\pi\) | ||||
0.723667 | + | 0.690150i | \(0.242455\pi\) | |||||||
\(432\) | 7.10729e11 | − | 1.37446e11i | 0.981809 | − | 0.189870i | ||||
\(433\) | −1.04593e12 | −1.42990 | −0.714950 | − | 0.699175i | \(-0.753551\pi\) | ||||
−0.714950 | + | 0.699175i | \(0.753551\pi\) | |||||||
\(434\) | −8.55518e10 | − | 2.19491e11i | −0.115751 | − | 0.296971i | ||||
\(435\) | 9.59710e9 | + | 1.04330e11i | 0.0128510 | + | 0.139704i | ||||
\(436\) | 9.65703e10 | − | 8.87667e10i | 0.127984 | − | 0.117642i | ||||
\(437\) | 1.10528e12i | 1.44979i | ||||||||
\(438\) | 4.45126e11 | − | 2.22419e11i | 0.577896 | − | 0.288761i | ||||
\(439\) | − | 6.71516e11i | − | 0.862911i | −0.902134 | − | 0.431456i | \(-0.858000\pi\) | ||
0.902134 | − | 0.431456i | \(-0.142000\pi\) | |||||||
\(440\) | −3.08881e11 | + | 6.30045e11i | −0.392875 | + | 0.801372i | ||||
\(441\) | 3.58849e11 | − | 6.65829e10i | 0.451791 | − | 0.0838280i | ||||
\(442\) | −1.43447e11 | + | 5.59118e10i | −0.178769 | + | 0.0696792i | ||||
\(443\) | −1.18025e12 | −1.45599 | −0.727996 | − | 0.685581i | \(-0.759548\pi\) | ||||
−0.727996 | + | 0.685581i | \(0.759548\pi\) | |||||||
\(444\) | 2.20257e11 | + | 1.99404e11i | 0.268972 | + | 0.243506i | ||||
\(445\) | 1.71791e12 | 2.07673 | ||||||||
\(446\) | −4.15835e11 | + | 1.62081e11i | −0.497638 | + | 0.193966i | ||||
\(447\) | 3.50023e11 | − | 3.21979e10i | 0.414680 | − | 0.0381455i | ||||
\(448\) | −8.14254e11 | + | 6.30849e11i | −0.955012 | + | 0.739902i | ||||
\(449\) | − | 1.23305e12i | − | 1.43177i | −0.698218 | − | 0.715885i | \(-0.746023\pi\) | ||
0.698218 | − | 0.715885i | \(-0.253977\pi\) | |||||||
\(450\) | −5.77711e11 | − | 9.31536e11i | −0.664132 | − | 1.07089i | ||||
\(451\) | 3.16798e11i | 0.360568i | ||||||||
\(452\) | −7.20892e11 | − | 7.84266e11i | −0.812358 | − | 0.883773i | ||||
\(453\) | −1.07268e12 | + | 9.86734e10i | −1.19682 | + | 0.110093i | ||||
\(454\) | 4.61851e11 | + | 1.18492e12i | 0.510212 | + | 1.30900i | ||||
\(455\) | 3.43947e11 | 0.376219 | ||||||||
\(456\) | −8.77061e11 | − | 3.34229e11i | −0.949922 | − | 0.361995i | ||||
\(457\) | −1.73330e12 | −1.85888 | −0.929441 | − | 0.368970i | \(-0.879710\pi\) | ||||
−0.929441 | + | 0.368970i | \(0.879710\pi\) | |||||||
\(458\) | 1.90827e11 | + | 4.89585e11i | 0.202649 | + | 0.519917i | ||||
\(459\) | 8.47676e11 | − | 2.39344e11i | 0.891401 | − | 0.251690i | ||||
\(460\) | −1.39336e12 | − | 1.51586e12i | −1.45096 | − | 1.57851i | ||||
\(461\) | − | 2.57191e10i | − | 0.0265217i | −0.999912 | − | 0.0132609i | \(-0.995779\pi\) | ||
0.999912 | − | 0.0132609i | \(-0.00422119\pi\) | |||||||
\(462\) | 3.13923e11 | + | 6.28252e11i | 0.320578 | + | 0.641571i | ||||
\(463\) | 5.19998e9i | 0.00525881i | 0.999997 | + | 0.00262940i | \(0.000836966\pi\) | ||||
−0.999997 | + | 0.00262940i | \(0.999163\pi\) | |||||||
\(464\) | −9.28462e10 | − | 7.83243e9i | −0.0929893 | − | 0.00784451i | ||||
\(465\) | 3.66291e10 | + | 3.98195e11i | 0.0363319 | + | 0.394964i | ||||
\(466\) | 1.98792e11 | − | 7.74836e10i | 0.195282 | − | 0.0761155i | ||||
\(467\) | 1.71566e12 | 1.66919 | 0.834593 | − | 0.550867i | \(-0.185703\pi\) | ||||
0.834593 | + | 0.550867i | \(0.185703\pi\) | |||||||
\(468\) | 1.29072e11 | − | 1.71910e11i | 0.124372 | − | 0.165651i | ||||
\(469\) | 4.14875e11 | 0.395949 | ||||||||
\(470\) | −3.87794e11 | + | 1.51152e11i | −0.366573 | + | 0.142880i | ||||
\(471\) | 9.95382e10 | + | 1.08208e12i | 0.0931956 | + | 1.01313i | ||||
\(472\) | −1.08988e12 | − | 5.34314e11i | −1.01074 | − | 0.495516i | ||||
\(473\) | 1.16816e11i | 0.107307i | ||||||||
\(474\) | 1.48928e11 | + | 2.98048e11i | 0.135510 | + | 0.271196i | ||||
\(475\) | 1.42122e12i | 1.28097i | ||||||||
\(476\) | −9.22730e11 | + | 8.48167e11i | −0.823841 | + | 0.757269i | ||||
\(477\) | 3.42215e11 | + | 1.84437e12i | 0.302668 | + | 1.63123i | ||||
\(478\) | 1.69310e11 | + | 4.34382e11i | 0.148340 | + | 0.380580i | ||||
\(479\) | 6.81974e11 | 0.591913 | 0.295956 | − | 0.955201i | \(-0.404362\pi\) | ||||
0.295956 | + | 0.955201i | \(0.404362\pi\) | |||||||
\(480\) | 1.62421e12 | − | 6.47279e11i | 1.39655 | − | 0.556552i | ||||
\(481\) | 8.82312e10 | 0.0751570 | ||||||||
\(482\) | −1.09702e11 | − | 2.81450e11i | −0.0925767 | − | 0.237514i | ||||
\(483\) | −2.05214e12 | + | 1.88772e11i | −1.71571 | + | 0.157825i | ||||
\(484\) | 5.75569e11 | − | 5.29059e11i | 0.476753 | − | 0.438227i | ||||
\(485\) | − | 2.66692e12i | − | 2.18863i | ||||||
\(486\) | −8.29738e11 | + | 9.07823e11i | −0.674649 | + | 0.738139i | ||||
\(487\) | − | 2.07127e12i | − | 1.66861i | −0.551301 | − | 0.834307i | \(-0.685868\pi\) | ||
0.551301 | − | 0.834307i | \(-0.314132\pi\) | |||||||
\(488\) | 1.60412e12 | + | 7.86424e11i | 1.28041 | + | 0.627722i | ||||
\(489\) | 1.30785e12 | − | 1.20306e11i | 1.03435 | − | 0.0951476i | ||||
\(490\) | 8.21340e11 | − | 3.20136e11i | 0.643636 | − | 0.250872i | ||||
\(491\) | 2.39861e12 | 1.86248 | 0.931242 | − | 0.364402i | \(-0.118727\pi\) | ||||
0.931242 | + | 0.364402i | \(0.118727\pi\) | |||||||
\(492\) | 5.29790e11 | − | 5.85194e11i | 0.407625 | − | 0.450253i | ||||
\(493\) | −1.13374e11 | −0.0864375 | ||||||||
\(494\) | −2.59696e11 | + | 1.01223e11i | −0.196198 | + | 0.0764726i | ||||
\(495\) | −2.17486e11 | − | 1.17214e12i | −0.162820 | − | 0.877518i | ||||
\(496\) | −3.54365e11 | − | 2.98939e10i | −0.262895 | − | 0.0221777i | ||||
\(497\) | 1.84647e12i | 1.35750i | ||||||||
\(498\) | −1.63208e12 | + | 8.15511e11i | −1.18907 | + | 0.594152i | ||||
\(499\) | − | 1.36760e12i | − | 0.987429i | −0.869624 | − | 0.493715i | \(-0.835639\pi\) | ||
0.869624 | − | 0.493715i | \(-0.164361\pi\) | |||||||
\(500\) | −3.69828e11 | − | 4.02340e11i | −0.264627 | − | 0.287891i | ||||
\(501\) | 6.23666e10 | + | 6.77987e11i | 0.0442265 | + | 0.480786i | ||||
\(502\) | −4.72575e11 | − | 1.21244e12i | −0.332127 | − | 0.852103i | ||||
\(503\) | −2.32348e12 | −1.61839 | −0.809195 | − | 0.587541i | \(-0.800096\pi\) | ||||
−0.809195 | + | 0.587541i | \(0.800096\pi\) | |||||||
\(504\) | 4.70760e11 | − | 1.68550e12i | 0.324984 | − | 1.16357i | ||||
\(505\) | −1.03222e12 | −0.706255 | ||||||||
\(506\) | −4.53409e11 | − | 1.16327e12i | −0.307477 | − | 0.788863i | ||||
\(507\) | 1.30434e11 | + | 1.41794e12i | 0.0876707 | + | 0.953067i | ||||
\(508\) | 1.19342e12 | + | 1.29833e12i | 0.795069 | + | 0.864965i | ||||
\(509\) | − | 8.20957e11i | − | 0.542114i | −0.962563 | − | 0.271057i | \(-0.912627\pi\) | ||
0.962563 | − | 0.271057i | \(-0.0873731\pi\) | |||||||
\(510\) | 1.90310e12 | − | 9.50932e11i | 1.24565 | − | 0.622420i | ||||
\(511\) | − | 1.20294e12i | − | 0.780460i | ||||||
\(512\) | 3.14007e11 | + | 1.52291e12i | 0.201941 | + | 0.979398i | ||||
\(513\) | 1.53463e12 | − | 4.33308e11i | 0.978309 | − | 0.276229i | ||||
\(514\) | 8.83066e11 | − | 3.44195e11i | 0.558032 | − | 0.217506i | ||||
\(515\) | −2.94945e12 | −1.84760 | ||||||||
\(516\) | 1.95354e11 | − | 2.15784e11i | 0.121311 | − | 0.133997i | ||||
\(517\) | −2.52381e11 | −0.155364 | ||||||||
\(518\) | 6.69222e11 | − | 2.60845e11i | 0.408401 | − | 0.159184i | ||||
\(519\) | −9.39086e11 | + | 8.63846e10i | −0.568136 | + | 0.0522616i | ||||
\(520\) | 2.28560e11 | − | 4.66210e11i | 0.137084 | − | 0.279619i | ||||
\(521\) | − | 1.60180e12i | − | 0.952444i | −0.879325 | − | 0.476222i | \(-0.842006\pi\) | ||
0.879325 | − | 0.476222i | \(-0.157994\pi\) | |||||||
\(522\) | 1.34532e11 | − | 8.34329e10i | 0.0793065 | − | 0.0491835i | ||||
\(523\) | 2.41944e12i | 1.41403i | 0.707200 | + | 0.707013i | \(0.249958\pi\) | ||||
−0.707200 | + | 0.707013i | \(0.750042\pi\) | |||||||
\(524\) | −7.73220e11 | + | 7.10738e11i | −0.448035 | + | 0.411831i | ||||
\(525\) | −2.63874e12 | + | 2.42732e11i | −1.51593 | + | 0.139448i | ||||
\(526\) | 5.30909e11 | + | 1.36210e12i | 0.302402 | + | 0.775841i | ||||
\(527\) | −4.32713e11 | −0.244372 | ||||||||
\(528\) | 1.06019e12 | − | 8.02555e9i | 0.593648 | − | 0.00449388i | ||||
\(529\) | 1.86233e12 | 1.03396 | ||||||||
\(530\) | 1.64540e12 | + | 4.22143e12i | 0.905796 | + | 2.32391i | ||||
\(531\) | 2.02761e12 | − | 3.76215e11i | 1.10678 | − | 0.205358i | ||||
\(532\) | −1.67051e12 | + | 1.53552e12i | −0.904163 | + | 0.831100i | ||||
\(533\) | − | 2.34419e11i | − | 0.125811i | ||||||
\(534\) | −1.16022e12 | − | 2.32195e12i | −0.617456 | − | 1.23571i | ||||
\(535\) | 4.35754e12i | 2.29958i | ||||||||
\(536\) | 2.75693e11 | − | 5.62350e11i | 0.144273 | − | 0.294283i | ||||
\(537\) | −8.80823e10 | − | 9.57542e11i | −0.0457093 | − | 0.496905i | ||||
\(538\) | −1.91964e12 | + | 7.48223e11i | −0.987869 | + | 0.385045i | ||||
\(539\) | 5.34538e11 | 0.272790 | ||||||||
\(540\) | −1.55846e12 | + | 2.52890e12i | −0.788721 | + | 1.27985i | ||||
\(541\) | −7.77998e11 | −0.390473 | −0.195236 | − | 0.980756i | \(-0.562547\pi\) | ||||
−0.195236 | + | 0.980756i | \(0.562547\pi\) | |||||||
\(542\) | 8.29130e11 | − | 3.23172e11i | 0.412692 | − | 0.160856i | ||||
\(543\) | −2.85530e11 | − | 3.10399e12i | −0.140946 | − | 1.53222i | ||||
\(544\) | 5.36490e11 | + | 1.81436e12i | 0.262643 | + | 0.888235i | ||||
\(545\) | 5.38259e11i | 0.261341i | ||||||||
\(546\) | −2.32291e11 | − | 4.64883e11i | −0.111858 | − | 0.223860i | ||||
\(547\) | − | 2.65493e12i | − | 1.26797i | −0.773344 | − | 0.633987i | \(-0.781417\pi\) | ||
0.773344 | − | 0.633987i | \(-0.218583\pi\) | |||||||
\(548\) | 2.21388e11 | + | 2.40851e11i | 0.104868 | + | 0.114087i | ||||
\(549\) | −2.98432e12 | + | 5.53728e11i | −1.40207 | + | 0.260148i | ||||
\(550\) | −5.83017e11 | − | 1.49579e12i | −0.271675 | − | 0.697007i | ||||
\(551\) | −2.05252e11 | −0.0948649 | ||||||||
\(552\) | −1.10782e12 | + | 2.90705e12i | −0.507857 | + | 1.33268i | ||||
\(553\) | 8.05467e11 | 0.366256 | ||||||||
\(554\) | −1.19786e12 | − | 3.07323e12i | −0.540273 | − | 1.38612i | ||||
\(555\) | −1.21408e12 | + | 1.11681e11i | −0.543163 | + | 0.0499644i | ||||
\(556\) | −1.17034e12 | − | 1.27323e12i | −0.519369 | − | 0.565028i | ||||
\(557\) | − | 4.74219e11i | − | 0.208752i | −0.994538 | − | 0.104376i | \(-0.966715\pi\) | ||
0.994538 | − | 0.104376i | \(-0.0332845\pi\) | |||||||
\(558\) | 5.13467e11 | − | 3.18437e11i | 0.224212 | − | 0.139050i | ||||
\(559\) | − | 8.64394e10i | − | 0.0374420i | ||||||
\(560\) | 3.55309e11 | − | 4.21185e12i | 0.152672 | − | 1.80979i | ||||
\(561\) | 1.28462e12 | − | 1.18169e11i | 0.547572 | − | 0.0503700i | ||||
\(562\) | 3.33261e12 | − | 1.29896e12i | 1.40919 | − | 0.549266i | ||||
\(563\) | 3.37287e11 | 0.141485 | 0.0707426 | − | 0.997495i | \(-0.477463\pi\) | ||||
0.0707426 | + | 0.997495i | \(0.477463\pi\) | |||||||
\(564\) | 4.66203e11 | + | 4.22064e11i | 0.194008 | + | 0.175640i | ||||
\(565\) | 4.37131e12 | 1.80465 | ||||||||
\(566\) | −3.40433e12 | + | 1.32691e12i | −1.39430 | + | 0.543462i | ||||
\(567\) | 1.06661e12 | + | 2.77531e12i | 0.433395 | + | 1.12768i | ||||
\(568\) | 2.50283e12 | + | 1.22702e12i | 1.00894 | + | 0.494634i | ||||
\(569\) | 3.81183e12i | 1.52450i | 0.647280 | + | 0.762252i | \(0.275906\pi\) | ||||
−0.647280 | + | 0.762252i | \(0.724094\pi\) | |||||||
\(570\) | 3.44536e12 | − | 1.72157e12i | 1.36709 | − | 0.683104i | ||||
\(571\) | − | 8.34965e11i | − | 0.328705i | −0.986402 | − | 0.164352i | \(-0.947447\pi\) | ||
0.986402 | − | 0.164352i | \(-0.0525534\pi\) | |||||||
\(572\) | 2.31798e11 | − | 2.13067e11i | 0.0905372 | − | 0.0832211i | ||||
\(573\) | −2.67145e11 | − | 2.90413e12i | −0.103526 | − | 1.12543i | ||||
\(574\) | −6.93030e11 | − | 1.77803e12i | −0.266470 | − | 0.683654i | ||||
\(575\) | 4.71069e12 | 1.79713 | ||||||||
\(576\) | −1.97181e12 | − | 1.75815e12i | −0.746388 | − | 0.665511i | ||||
\(577\) | −2.76211e12 | −1.03741 | −0.518704 | − | 0.854954i | \(-0.673585\pi\) | ||||
−0.518704 | + | 0.854954i | \(0.673585\pi\) | |||||||
\(578\) | −1.38432e11 | − | 3.55162e11i | −0.0515897 | − | 0.132358i | ||||
\(579\) | −1.81285e11 | − | 1.97075e12i | −0.0670360 | − | 0.728748i | ||||
\(580\) | 2.81498e11 | − | 2.58751e11i | 0.103288 | − | 0.0949414i | ||||
\(581\) | 4.41065e12i | 1.60587i | ||||||||
\(582\) | −3.60464e12 | + | 1.80115e12i | −1.30229 | + | 0.650725i | ||||
\(583\) | 2.74736e12i | 0.984934i | ||||||||
\(584\) | −1.63055e12 | − | 7.99381e11i | −0.580065 | − | 0.284378i | ||||
\(585\) | 1.60931e11 | + | 8.67340e11i | 0.0568119 | + | 0.306188i | ||||
\(586\) | −6.62786e11 | + | 2.58336e11i | −0.232185 | + | 0.0904995i | ||||
\(587\) | −5.61611e11 | −0.195238 | −0.0976190 | − | 0.995224i | \(-0.531123\pi\) | ||||
−0.0976190 | + | 0.995224i | \(0.531123\pi\) | |||||||
\(588\) | −9.87408e11 | − | 8.93923e11i | −0.340642 | − | 0.308391i | ||||
\(589\) | −7.83383e11 | −0.268198 | ||||||||
\(590\) | 4.64084e12 | − | 1.80887e12i | 1.57675 | − | 0.614574i | ||||
\(591\) | 2.58187e12 | − | 2.37501e11i | 0.870543 | − | 0.0800795i | ||||
\(592\) | 9.11457e10 | − | 1.08045e12i | 0.0304992 | − | 0.361540i | ||||
\(593\) | − | 3.07889e12i | − | 1.02246i | −0.859443 | − | 0.511232i | \(-0.829189\pi\) | ||
0.859443 | − | 0.511232i | \(-0.170811\pi\) | |||||||
\(594\) | −1.43740e12 | + | 1.08558e12i | −0.473737 | + | 0.357787i | ||||
\(595\) | − | 5.14307e12i | − | 1.68227i | ||||||
\(596\) | −8.68099e11 | − | 9.44414e11i | −0.281813 | − | 0.306587i | ||||
\(597\) | 4.97552e12 | − | 4.57688e11i | 1.60308 | − | 0.147464i | ||||
\(598\) | 3.35506e11 | + | 8.60773e11i | 0.107287 | + | 0.275254i | ||||
\(599\) | 3.70213e11 | 0.117498 | 0.0587491 | − | 0.998273i | \(-0.481289\pi\) | ||||
0.0587491 | + | 0.998273i | \(0.481289\pi\) | |||||||
\(600\) | −1.42449e12 | + | 3.73803e12i | −0.448722 | + | 1.17750i | ||||
\(601\) | −3.83449e12 | −1.19887 | −0.599436 | − | 0.800423i | \(-0.704608\pi\) | ||||
−0.599436 | + | 0.800423i | \(0.704608\pi\) | |||||||
\(602\) | −2.55548e11 | − | 6.55632e11i | −0.0793026 | − | 0.203458i | ||||
\(603\) | 1.94118e11 | + | 1.04620e12i | 0.0597913 | + | 0.322246i | ||||
\(604\) | 2.66037e12 | + | 2.89424e12i | 0.813346 | + | 0.884849i | ||||
\(605\) | 3.20808e12i | 0.973522i | ||||||||
\(606\) | 6.97130e11 | + | 1.39516e12i | 0.209985 | + | 0.420241i | ||||
\(607\) | − | 5.66085e11i | − | 0.169251i | −0.996413 | − | 0.0846257i | \(-0.973031\pi\) | ||
0.996413 | − | 0.0846257i | \(-0.0269695\pi\) | |||||||
\(608\) | 9.71261e11 | + | 3.28471e12i | 0.288250 | + | 0.974835i | ||||
\(609\) | −3.50553e10 | − | 3.81086e11i | −0.0103271 | − | 0.112265i | ||||
\(610\) | −6.83057e12 | + | 2.66237e12i | −1.99743 | + | 0.778546i | ||||
\(611\) | 1.86753e11 | 0.0542103 | ||||||||
\(612\) | −2.57058e12 | − | 1.93002e12i | −0.740714 | − | 0.556135i | ||||
\(613\) | 1.25635e12 | 0.359367 | 0.179683 | − | 0.983724i | \(-0.442493\pi\) | ||||
0.179683 | + | 0.983724i | \(0.442493\pi\) | |||||||
\(614\) | −3.02451e11 | + | 1.17887e11i | −0.0858811 | + | 0.0334741i | ||||
\(615\) | 2.96722e11 | + | 3.22566e12i | 0.0836395 | + | 0.909245i | ||||
\(616\) | 1.12825e12 | − | 2.30136e12i | 0.315713 | − | 0.643980i | ||||
\(617\) | − | 3.22392e12i | − | 0.895573i | −0.894140 | − | 0.447787i | \(-0.852212\pi\) | ||
0.894140 | − | 0.447787i | \(-0.147788\pi\) | |||||||
\(618\) | 1.99197e12 | + | 3.98652e12i | 0.549332 | + | 1.09937i | ||||
\(619\) | 3.88307e12i | 1.06308i | 0.847032 | + | 0.531542i | \(0.178387\pi\) | ||||
−0.847032 | + | 0.531542i | \(0.821613\pi\) | |||||||
\(620\) | 1.07439e12 | − | 9.87571e11i | 0.292011 | − | 0.268414i | ||||
\(621\) | −1.43622e12 | − | 5.08660e12i | −0.387532 | − | 1.37251i | ||||
\(622\) | −7.62329e11 | − | 1.95583e12i | −0.204214 | − | 0.523931i | ||||
\(623\) | −6.27501e12 | −1.66885 | ||||||||
\(624\) | −7.84498e11 | + | 5.93861e9i | −0.207139 | + | 0.00156803i | ||||
\(625\) | −2.56438e12 | −0.672238 | ||||||||
\(626\) | −1.25546e12 | − | 3.22100e12i | −0.326752 | − | 0.838313i | ||||
\(627\) | 2.32567e12 | − | 2.13934e11i | 0.600958 | − | 0.0552809i | ||||
\(628\) | 2.91961e12 | − | 2.68368e12i | 0.749042 | − | 0.688514i | ||||
\(629\) | − | 1.31933e12i | − | 0.336066i | ||||||
\(630\) | 3.78483e12 | + | 6.10289e12i | 0.957225 | + | 1.54349i | ||||
\(631\) | 3.75968e12i | 0.944102i | 0.881571 | + | 0.472051i | \(0.156486\pi\) | ||||
−0.881571 | + | 0.472051i | \(0.843514\pi\) | |||||||
\(632\) | 5.35251e11 | − | 1.09179e12i | 0.133454 | − | 0.272214i | ||||
\(633\) | −1.93540e12 | + | 1.78034e11i | −0.479131 | + | 0.0440743i | ||||
\(634\) | −3.28119e12 | + | 1.27892e12i | −0.806546 | + | 0.314370i | ||||
\(635\) | −7.23657e12 | −1.76625 | ||||||||
\(636\) | 4.59449e12 | − | 5.07497e12i | 1.11347 | − | 1.22992i | ||||
\(637\) | −3.95538e11 | −0.0951834 | ||||||||
\(638\) | 2.16021e11 | − | 8.41991e10i | 0.0516182 | − | 0.0201194i | ||||
\(639\) | −4.65629e12 | + | 8.63955e11i | −1.10481 | + | 0.204992i | ||||
\(640\) | −5.47293e12 | − | 3.28048e12i | −1.28947 | − | 0.772907i | ||||
\(641\) | 5.95308e12i | 1.39277i | 0.717667 | + | 0.696387i | \(0.245210\pi\) | ||||
−0.717667 | + | 0.696387i | \(0.754790\pi\) | |||||||
\(642\) | 5.88970e12 | − | 2.94295e12i | 1.36831 | − | 0.683714i | ||||
\(643\) | − | 7.82142e12i | − | 1.80441i | −0.431304 | − | 0.902207i | \(-0.641946\pi\) | ||
0.431304 | − | 0.902207i | \(-0.358054\pi\) | |||||||
\(644\) | 5.08954e12 | + | 5.53697e12i | 1.16598 | + | 1.26849i | ||||
\(645\) | 1.09413e11 | + | 1.18943e12i | 0.0248915 | + | 0.270595i | ||||
\(646\) | 1.51359e12 | + | 3.88326e12i | 0.341949 | + | 0.877304i | ||||
\(647\) | 2.85958e11 | 0.0641553 | 0.0320776 | − | 0.999485i | \(-0.489788\pi\) | ||||
0.0320776 | + | 0.999485i | \(0.489788\pi\) | |||||||
\(648\) | 4.47063e12 | + | 3.98490e11i | 0.996051 | + | 0.0887830i | ||||
\(649\) | 3.02032e12 | 0.668269 | ||||||||
\(650\) | 4.31411e11 | + | 1.10683e12i | 0.0947940 | + | 0.243203i | ||||
\(651\) | −1.33795e11 | − | 1.45449e12i | −0.0291962 | − | 0.317392i | ||||
\(652\) | −3.24362e12 | − | 3.52877e12i | −0.702935 | − | 0.764731i | ||||
\(653\) | 4.70558e12i | 1.01275i | 0.862312 | + | 0.506377i | \(0.169016\pi\) | ||||
−0.862312 | + | 0.506377i | \(0.830984\pi\) | |||||||
\(654\) | 7.27518e11 | − | 3.63523e11i | 0.155505 | − | 0.0777021i | ||||
\(655\) | − | 4.30974e12i | − | 0.914882i | ||||||
\(656\) | −2.87060e12 | − | 2.42162e11i | −0.605210 | − | 0.0510550i | ||||
\(657\) | 3.03349e12 | − | 5.62851e11i | 0.635182 | − | 0.117855i | ||||
\(658\) | 1.41650e12 | − | 5.52112e11i | 0.294577 | − | 0.114818i | ||||
\(659\) | 8.30299e12 | 1.71495 | 0.857473 | − | 0.514530i | \(-0.172033\pi\) | ||||
0.857473 | + | 0.514530i | \(0.172033\pi\) | |||||||
\(660\) | −2.91990e12 | + | 3.22526e12i | −0.598991 | + | 0.661632i | ||||
\(661\) | 3.72865e12 | 0.759706 | 0.379853 | − | 0.925047i | \(-0.375975\pi\) | ||||
0.379853 | + | 0.925047i | \(0.375975\pi\) | |||||||
\(662\) | −1.80267e12 | + | 7.02631e11i | −0.364800 | + | 0.142189i | ||||
\(663\) | −9.50570e11 | + | 8.74409e10i | −0.191061 | + | 0.0175753i | ||||
\(664\) | 5.97850e12 | + | 2.93097e12i | 1.19354 | + | 0.585134i | ||||
\(665\) | − | 9.31101e12i | − | 1.84629i | ||||||
\(666\) | 9.70905e11 | + | 1.56555e12i | 0.191224 | + | 0.308341i | ||||
\(667\) | 6.80316e11i | 0.133090i | ||||||||
\(668\) | 1.82931e12 | − | 1.68149e12i | 0.355462 | − | 0.326738i | ||||
\(669\) | −2.75558e12 | + | 2.53480e11i | −0.531858 | + | 0.0489245i | ||||
\(670\) | 9.33336e11 | + | 2.39456e12i | 0.178938 | + | 0.459081i | ||||
\(671\) | −4.44542e12 | −0.846567 | ||||||||
\(672\) | −5.93276e12 | + | 2.36432e12i | −1.12226 | + | 0.447243i | ||||
\(673\) | 1.72093e12 | 0.323367 | 0.161683 | − | 0.986843i | \(-0.448308\pi\) | ||||
0.161683 | + | 0.986843i | \(0.448308\pi\) | |||||||
\(674\) | 2.83576e12 | + | 7.27540e12i | 0.529297 | + | 1.35796i | ||||
\(675\) | −1.84676e12 | − | 6.54061e12i | −0.342408 | − | 1.21269i | ||||
\(676\) | 3.82583e12 | − | 3.51667e12i | 0.704636 | − | 0.647697i | ||||
\(677\) | − | 9.65351e12i | − | 1.76618i | −0.469199 | − | 0.883092i | \(-0.655457\pi\) | ||
0.469199 | − | 0.883092i | \(-0.344543\pi\) | |||||||
\(678\) | −2.95225e12 | − | 5.90832e12i | −0.536561 | − | 1.07382i | ||||
\(679\) | 9.74145e12i | 1.75877i | ||||||||
\(680\) | −6.97127e12 | − | 3.41768e12i | −1.25032 | − | 0.612973i | ||||
\(681\) | 7.22294e11 | + | 7.85205e12i | 0.128692 | + | 1.39901i | ||||
\(682\) | 8.24484e11 | − | 3.21362e11i | 0.145933 | − | 0.0568806i | ||||
\(683\) | 4.94104e12 | 0.868810 | 0.434405 | − | 0.900718i | \(-0.356959\pi\) | ||||
0.434405 | + | 0.900718i | \(0.356959\pi\) | |||||||
\(684\) | −4.65378e12 | − | 3.49410e12i | −0.812931 | − | 0.610356i | ||||
\(685\) | −1.34244e12 | −0.232964 | ||||||||
\(686\) | 3.52893e12 | − | 1.37548e12i | 0.608393 | − | 0.237135i | ||||
\(687\) | 2.98436e11 | + | 3.24430e12i | 0.0511148 | + | 0.555668i | ||||
\(688\) | −1.05851e12 | − | 8.92947e10i | −0.180113 | − | 0.0151942i | ||||
\(689\) | − | 2.03295e12i | − | 0.343668i | ||||||
\(690\) | −5.70620e12 | − | 1.14198e13i | −0.958355 | − | 1.91795i | ||||
\(691\) | 1.10530e12i | 0.184429i | 0.995739 | + | 0.0922146i | \(0.0293946\pi\) | ||||
−0.995739 | + | 0.0922146i | \(0.970605\pi\) | |||||||
\(692\) | 2.32905e12 | + | 2.53379e12i | 0.386101 | + | 0.420043i | ||||
\(693\) | 7.94410e11 | + | 4.28148e12i | 0.130841 | + | 0.705170i | ||||
\(694\) | −1.63679e11 | − | 4.19934e11i | −0.0267840 | − | 0.0687168i | ||||
\(695\) | 7.09666e12 | 1.15378 | ||||||||
\(696\) | −5.39846e11 | − | 2.05724e11i | −0.0872024 | − | 0.0332310i | ||||
\(697\) | −3.50528e12 | −0.562568 | ||||||||
\(698\) | −6.52547e11 | − | 1.67417e12i | −0.104055 | − | 0.266963i | ||||
\(699\) | 1.31732e12 | − | 1.21177e11i | 0.208710 | − | 0.0191988i | ||||
\(700\) | 6.54439e12 | + | 7.11972e12i | 1.03022 | + | 1.12078i | ||||
\(701\) | 4.77388e12i | 0.746691i | 0.927692 | + | 0.373345i | \(0.121789\pi\) | ||||
−0.927692 | + | 0.373345i | \(0.878211\pi\) | |||||||
\(702\) | 1.06362e12 | − | 8.03292e11i | 0.165299 | − | 0.124841i | ||||
\(703\) | − | 2.38851e12i | − | 0.368832i | ||||||
\(704\) | −2.36968e12 | − | 3.05861e12i | −0.363591 | − | 0.469297i | ||||
\(705\) | −2.56977e12 | + | 2.36387e11i | −0.391780 | + | 0.0360391i | ||||
\(706\) | −9.85532e11 | + | 3.84134e11i | −0.149296 | + | 0.0581917i | ||||
\(707\) | 3.77040e12 | 0.567544 | ||||||||
\(708\) | −5.57918e12 | − | 5.05096e12i | −0.834489 | − | 0.755482i | ||||
\(709\) | −8.63718e12 | −1.28370 | −0.641851 | − | 0.766830i | \(-0.721833\pi\) | ||||
−0.641851 | + | 0.766830i | \(0.721833\pi\) | |||||||
\(710\) | −1.06574e13 | + | 4.15397e12i | −1.57394 | + | 0.613481i | ||||
\(711\) | 3.76875e11 | + | 2.03117e12i | 0.0553075 | + | 0.298080i | ||||
\(712\) | −4.16988e12 | + | 8.50558e12i | −0.608084 | + | 1.24035i | ||||
\(713\) | 2.59655e12i | 0.376266i | ||||||||
\(714\) | −6.95144e12 | + | 3.47347e12i | −1.00100 | + | 0.500175i | ||||
\(715\) | 1.29198e12i | 0.184876i | ||||||||
\(716\) | −2.58359e12 | + | 2.37482e12i | −0.367380 | + | 0.337693i | ||||
\(717\) | 2.64786e11 | + | 2.87849e12i | 0.0374161 | + | 0.406751i | ||||
\(718\) | −1.97211e12 | − | 5.05963e12i | −0.276930 | − | 0.710491i | ||||
\(719\) | 3.01601e11 | 0.0420875 | 0.0210438 | − | 0.999779i | \(-0.493301\pi\) | ||||
0.0210438 | + | 0.999779i | \(0.493301\pi\) | |||||||
\(720\) | 1.07874e13 | − | 1.07472e12i | 1.49596 | − | 0.149038i | ||||
\(721\) | 1.07735e13 | 1.48473 | ||||||||
\(722\) | 8.85429e10 | + | 2.27165e11i | 0.0121265 | + | 0.0311118i | ||||
\(723\) | −1.71563e11 | − | 1.86507e12i | −0.0233508 | − | 0.253847i | ||||
\(724\) | −8.37503e12 | + | 7.69826e12i | −1.13282 | + | 1.04128i | ||||
\(725\) | 8.74785e11i | 0.117593i | ||||||||
\(726\) | 4.33608e12 | − | 2.16664e12i | 0.579272 | − | 0.289449i | ||||
\(727\) | 3.29637e11i | 0.0437654i | 0.999761 | + | 0.0218827i | \(0.00696603\pi\) | ||||
−0.999761 | + | 0.0218827i | \(0.993034\pi\) | |||||||
\(728\) | −8.34863e11 | + | 1.70293e12i | −0.110160 | + | 0.224701i | ||||
\(729\) | −6.49950e12 | + | 3.98826e12i | −0.852327 | + | 0.523010i | ||||
\(730\) | 6.94311e12 | − | 2.70624e12i | 0.904901 | − | 0.352706i | ||||
\(731\) | −1.29254e12 | −0.167423 | ||||||||
\(732\) | 8.21165e12 | + | 7.43420e12i | 1.05714 | + | 0.957049i | ||||
\(733\) | 3.27508e12 | 0.419038 | 0.209519 | − | 0.977805i | \(-0.432810\pi\) | ||||
0.209519 | + | 0.977805i | \(0.432810\pi\) | |||||||
\(734\) | −4.36043e12 | + | 1.69958e12i | −0.554494 | + | 0.216127i | ||||
\(735\) | 5.44271e12 | − | 5.00664e11i | 0.687896 | − | 0.0632781i | ||||
\(736\) | 1.08873e13 | − | 3.21928e12i | 1.36764 | − | 0.404398i | ||||
\(737\) | 1.55841e12i | 0.194571i | ||||||||
\(738\) | 4.15945e12 | − | 2.57957e12i | 0.516157 | − | 0.320105i | ||||
\(739\) | 8.89665e12i | 1.09730i | 0.836051 | + | 0.548652i | \(0.184859\pi\) | ||||
−0.836051 | + | 0.548652i | \(0.815141\pi\) | |||||||
\(740\) | 3.01107e12 | + | 3.27578e12i | 0.369129 | + | 0.401580i | ||||
\(741\) | −1.72091e12 | + | 1.58303e11i | −0.209689 | + | 0.0192889i | ||||
\(742\) | −6.01016e12 | − | 1.54196e13i | −0.727894 | − | 1.86748i | ||||
\(743\) | 7.39335e12 | 0.890003 | 0.445001 | − | 0.895530i | \(-0.353203\pi\) | ||||
0.445001 | + | 0.895530i | \(0.353203\pi\) | |||||||
\(744\) | −2.06042e12 | − | 7.85183e11i | −0.246535 | − | 0.0939492i | ||||
\(745\) | 5.26393e12 | 0.626047 | ||||||||
\(746\) | −9.71964e11 | − | 2.49367e12i | −0.114901 | − | 0.294790i | ||||
\(747\) | −1.11224e13 | + | 2.06372e12i | −1.30695 | + | 0.242498i | ||||
\(748\) | −3.18600e12 | − | 3.46609e12i | −0.372125 | − | 0.404839i | ||||
\(749\) | − | 1.59168e13i | − | 1.84794i | ||||||
\(750\) | −1.51454e12 | − | 3.03105e12i | −0.174786 | − | 0.349798i | ||||
\(751\) | − | 1.27842e13i | − | 1.46654i | −0.679938 | − | 0.733269i | \(-0.737993\pi\) | ||
0.679938 | − | 0.733269i | \(-0.262007\pi\) | |||||||
\(752\) | 1.92922e11 | − | 2.28691e12i | 0.0219989 | − | 0.260776i | ||||
\(753\) | −7.39064e11 | − | 8.03436e12i | −0.0837731 | − | 0.910697i | ||||
\(754\) | −1.59847e11 | + | 6.23042e10i | −0.0180109 | + | 0.00702015i | ||||
\(755\) | −1.61318e13 | −1.80685 | ||||||||
\(756\) | 5.69259e12 | − | 9.23733e12i | 0.633813 | − | 1.02849i | ||||
\(757\) | −3.27848e12 | −0.362861 | −0.181431 | − | 0.983404i | \(-0.558073\pi\) | ||||
−0.181431 | + | 0.983404i | \(0.558073\pi\) | |||||||
\(758\) | 9.92795e12 | − | 3.86965e12i | 1.09232 | − | 0.425755i | ||||
\(759\) | −7.09091e11 | − | 7.70853e12i | −0.0775558 | − | 0.843108i | ||||
\(760\) | −1.26208e13 | − | 6.18737e12i | −1.37222 | − | 0.672736i | ||||
\(761\) | − | 4.47194e12i | − | 0.483353i | −0.970357 | − | 0.241677i | \(-0.922303\pi\) | ||
0.970357 | − | 0.241677i | \(-0.0776973\pi\) | |||||||
\(762\) | 4.88736e12 | + | 9.78104e12i | 0.525142 | + | 1.05096i | ||||
\(763\) | − | 1.96610e12i | − | 0.210012i | ||||||
\(764\) | −7.83577e12 | + | 7.20258e12i | −0.832073 | + | 0.764835i | ||||
\(765\) | 1.29694e13 | − | 2.40642e12i | 1.36913 | − | 0.254036i | ||||
\(766\) | 5.96613e12 | + | 1.53067e13i | 0.626128 | + | 1.60639i | ||||
\(767\) | −2.23492e12 | −0.233176 | ||||||||
\(768\) | −7.37690e11 | + | 9.61281e12i | −0.0765153 | + | 0.997068i | ||||
\(769\) | −7.59711e11 | −0.0783393 | −0.0391697 | − | 0.999233i | \(-0.512471\pi\) | ||||
−0.0391697 | + | 0.999233i | \(0.512471\pi\) | |||||||
\(770\) | 3.81959e12 | + | 9.79952e12i | 0.391569 | + | 1.00461i | ||||
\(771\) | 5.85175e12 | − | 5.38290e11i | 0.596405 | − | 0.0548620i | ||||
\(772\) | −5.31737e12 | + | 4.88768e12i | −0.538789 | + | 0.495251i | ||||
\(773\) | 2.95405e12i | 0.297584i | 0.988868 | + | 0.148792i | \(0.0475385\pi\) | ||||
−0.988868 | + | 0.148792i | \(0.952461\pi\) | |||||||
\(774\) | 1.53375e12 | − | 9.51188e11i | 0.153611 | − | 0.0952647i | ||||
\(775\) | 3.33878e12i | 0.332453i | ||||||||
\(776\) | 1.32042e13 | + | 6.47341e12i | 1.30718 | + | 0.640848i | ||||
\(777\) | 4.43469e12 | − | 4.07937e11i | 0.436484 | − | 0.0401512i | ||||
\(778\) | 1.41024e13 | − | 5.49672e12i | 1.38001 | − | 0.537892i | ||||
\(779\) | −6.34595e12 | −0.617417 | ||||||||
\(780\) | 2.16062e12 | − | 2.38657e12i | 0.209003 | − | 0.230860i | ||||
\(781\) | −6.93597e12 | −0.667080 | ||||||||
\(782\) | 1.28712e13 | − | 5.01685e12i | 1.23080 | − | 0.479735i | ||||
\(783\) | 9.44593e11 | − | 2.66709e11i | 0.0898083 | − | 0.0253577i | ||||
\(784\) | −4.08604e11 | + | 4.84362e12i | −0.0386261 | + | 0.457876i | ||||
\(785\) | 1.62732e13i | 1.52953i | ||||||||
\(786\) | −5.82510e12 | + | 2.91066e12i | −0.544379 | + | 0.272014i | ||||
\(787\) | − | 1.34203e13i | − | 1.24702i | −0.781814 | − | 0.623512i | \(-0.785705\pi\) | ||
0.781814 | − | 0.623512i | \(-0.214295\pi\) | |||||||
\(788\) | −6.40334e12 | − | 6.96626e12i | −0.591614 | − | 0.643624i | ||||
\(789\) | 8.30294e11 | + | 9.02612e12i | 0.0762756 | + | 0.829191i | ||||
\(790\) | 1.81204e12 | + | 4.64897e12i | 0.165519 | + | 0.424654i | ||||
\(791\) | −1.59671e13 | −1.45021 | ||||||||
\(792\) | 6.33131e12 | + | 1.76834e12i | 0.571782 | + | 0.159699i | ||||
\(793\) | 3.28945e12 | 0.295388 | ||||||||
\(794\) | −4.63792e12 | − | 1.18990e13i | −0.414125 | − | 1.06248i | ||||
\(795\) | 2.57326e12 | + | 2.79739e13i | 0.228471 | + | 2.48371i | ||||
\(796\) | −1.23399e13 | − | 1.34247e13i | −1.08944 | − | 1.18521i | ||||
\(797\) | 6.79966e12i | 0.596932i | 0.954420 | + | 0.298466i | \(0.0964749\pi\) | ||||
−0.954420 | + | 0.298466i | \(0.903525\pi\) | |||||||
\(798\) | −1.25849e13 | + | 6.28837e12i | −1.09859 | + | 0.548940i | ||||
\(799\) | − | 2.79253e12i | − | 0.242403i | ||||||
\(800\) | 1.39995e13 | − | 4.13952e12i | 1.20839 | − | 0.357309i | ||||
\(801\) | −2.93605e12 | − | 1.58238e13i | −0.252009 | − | 1.35821i | ||||
\(802\) | −3.26962e12 | + | 1.27441e12i | −0.279070 | + | 0.108774i | ||||
\(803\) | 4.51866e12 | 0.383521 | ||||||||
\(804\) | 2.60618e12 | − | 2.87872e12i | 0.219964 | − | 0.242967i | ||||
\(805\) | −3.08617e13 | −2.59023 | ||||||||
\(806\) | −6.10088e11 | + | 2.37796e11i | −0.0509196 | + | 0.0198471i | ||||
\(807\) | −1.27207e13 | + | 1.17015e12i | −1.05580 | + | 0.0971207i | ||||
\(808\) | 2.50551e12 | − | 5.11066e12i | 0.206797 | − | 0.421818i | ||||
\(809\) | 1.46955e12i | 0.120619i | 0.998180 | + | 0.0603095i | \(0.0192088\pi\) | ||||
−0.998180 | + | 0.0603095i | \(0.980791\pi\) | |||||||
\(810\) | −1.36189e13 | + | 1.23998e13i | −1.11163 | + | 1.01212i | ||||
\(811\) | 1.17934e13i | 0.957296i | 0.878007 | + | 0.478648i | \(0.158873\pi\) | ||||
−0.878007 | + | 0.478648i | \(0.841127\pi\) | |||||||
\(812\) | −1.02823e12 | + | 9.45139e11i | −0.0830017 | + | 0.0762946i | ||||
\(813\) | 5.49434e12 | − | 5.05412e11i | 0.441070 | − | 0.0405731i | ||||
\(814\) | 9.79822e11 | + | 2.51383e12i | 0.0782235 | + | 0.200690i | ||||
\(815\) | 1.96685e13 | 1.56157 | ||||||||
\(816\) | 8.88005e10 | + | 1.17307e13i | 0.00701148 | + | 0.926226i | ||||
\(817\) | −2.34001e12 | −0.183746 | ||||||||
\(818\) | −3.79661e12 | − | 9.74057e12i | −0.296487 | − | 0.760667i | ||||
\(819\) | −5.87834e11 | − | 3.16813e12i | −0.0456538 | − | 0.246051i | ||||
\(820\) | 8.70331e12 | − | 8.00002e12i | 0.672237 | − | 0.617915i | ||||
\(821\) | − | 1.48112e13i | − | 1.13775i | −0.822424 | − | 0.568875i | \(-0.807379\pi\) | ||
0.822424 | − | 0.568875i | \(-0.192621\pi\) | |||||||
\(822\) | 9.06645e11 | + | 1.81446e12i | 0.0692650 | + | 0.138620i | ||||
\(823\) | 7.16866e11i | 0.0544677i | 0.999629 | + | 0.0272338i | \(0.00866987\pi\) | ||||
−0.999629 | + | 0.0272338i | \(0.991330\pi\) | |||||||
\(824\) | 7.15921e12 | − | 1.46031e13i | 0.540994 | − | 1.10350i | ||||
\(825\) | −9.11785e11 | − | 9.91201e12i | −0.0685251 | − | 0.744936i | ||||
\(826\) | −1.69516e13 | + | 6.60728e12i | −1.26707 | + | 0.493869i | ||||
\(827\) | 2.26611e13 | 1.68464 | 0.842319 | − | 0.538979i | \(-0.181190\pi\) | ||||
0.842319 | + | 0.538979i | \(0.181190\pi\) | |||||||
\(828\) | −1.15813e13 | + | 1.54252e13i | −0.856293 | + | 1.14049i | ||||
\(829\) | 2.00101e13 | 1.47148 | 0.735739 | − | 0.677265i | \(-0.236835\pi\) | ||||
0.735739 | + | 0.677265i | \(0.236835\pi\) | |||||||
\(830\) | −2.54573e13 | + | 9.92255e12i | −1.86192 | + | 0.725725i | ||||
\(831\) | −1.87335e12 | − | 2.03652e13i | −0.136274 | − | 1.48144i | ||||
\(832\) | 1.75348e12 | + | 2.26326e12i | 0.126866 | + | 0.163749i | ||||
\(833\) | 5.91452e12i | 0.425615i | ||||||||
\(834\) | −4.79287e12 | − | 9.59194e12i | −0.343043 | − | 0.686529i | ||||
\(835\) | 1.01961e13i | 0.725849i | ||||||||
\(836\) | −5.76794e12 | − | 6.27500e12i | −0.408406 | − | 0.444310i | ||||
\(837\) | 3.60522e12 | − | 1.01794e12i | 0.253902 | − | 0.0716901i | ||||
\(838\) | 7.71758e12 | + | 1.98002e13i | 0.540609 | + | 1.38698i | ||||
\(839\) | −1.23878e13 | −0.863108 | −0.431554 | − | 0.902087i | \(-0.642034\pi\) | ||||
−0.431554 | + | 0.902087i | \(0.642034\pi\) | |||||||
\(840\) | 9.33241e12 | − | 2.44894e13i | 0.646751 | − | 1.69716i | ||||
\(841\) | 1.43808e13 | 0.991291 | ||||||||
\(842\) | 4.31183e11 | + | 1.10624e12i | 0.0295636 | + | 0.0758483i | ||||
\(843\) | 2.20840e13 | − | 2.03146e12i | 1.50610 | − | 0.138543i | ||||
\(844\) | 4.80003e12 | + | 5.22200e12i | 0.325614 | + | 0.354239i | ||||
\(845\) | 2.13242e13i | 1.43886i | ||||||||
\(846\) | 2.05505e12 | + | 3.31368e12i | 0.137929 | + | 0.222405i | ||||
\(847\) | − | 1.17181e13i | − | 0.782319i | ||||||
\(848\) | −2.48947e13 | − | 2.10010e12i | −1.65320 | − | 0.139463i | ||||
\(849\) | −2.25592e13 | + | 2.07517e12i | −1.49018 | + | 0.137079i | ||||
\(850\) | 1.65505e13 | − | 6.45092e12i | 1.08749 | − | 0.423874i | ||||
\(851\) | −7.91681e12 | −0.517449 | ||||||||
\(852\) | 1.28122e13 | + | 1.15992e13i | 0.833004 | + | 0.754138i | ||||
\(853\) | 2.56552e13 | 1.65922 | 0.829612 | − | 0.558341i | \(-0.188562\pi\) | ||||
0.829612 | + | 0.558341i | \(0.188562\pi\) | |||||||
\(854\) | 2.49500e13 | − | 9.72484e12i | 1.60513 | − | 0.625637i | ||||
\(855\) | 2.34798e13 | − | 4.35658e12i | 1.50261 | − | 0.278803i | ||||
\(856\) | −2.15747e13 | − | 1.05770e13i | −1.37345 | − | 0.673337i | ||||
\(857\) | 2.27222e13i | 1.43892i | 0.694532 | + | 0.719461i | \(0.255611\pi\) | ||||
−0.694532 | + | 0.719461i | \(0.744389\pi\) | |||||||
\(858\) | 1.74626e12 | − | 8.72565e11i | 0.110006 | − | 0.0549674i | ||||
\(859\) | 6.62697e12i | 0.415285i | 0.978205 | + | 0.207642i | \(0.0665790\pi\) | ||||
−0.978205 | + | 0.207642i | \(0.933421\pi\) | |||||||
\(860\) | 3.20926e12 | − | 2.94993e12i | 0.200061 | − | 0.183894i | ||||
\(861\) | −1.08384e12 | − | 1.17824e13i | −0.0672124 | − | 0.730666i | ||||
\(862\) | −8.52023e12 | − | 2.18595e13i | −0.525616 | − | 1.34852i | ||||
\(863\) | 4.62288e12 | 0.283703 | 0.141852 | − | 0.989888i | \(-0.454694\pi\) | ||||
0.141852 | + | 0.989888i | \(0.454694\pi\) | |||||||
\(864\) | −8.73807e12 | − | 1.38545e13i | −0.533462 | − | 0.845824i | ||||
\(865\) | −1.41227e13 | −0.857722 | ||||||||
\(866\) | 8.59482e12 | + | 2.20508e13i | 0.519285 | + | 1.33228i | ||||
\(867\) | −2.16496e11 | − | 2.35352e12i | −0.0130126 | − | 0.141460i | ||||
\(868\) | −3.92442e12 | + | 3.60730e12i | −0.234659 | + | 0.215697i | ||||
\(869\) | 3.02561e12i | 0.179980i | ||||||||
\(870\) | 2.12068e12 | − | 1.05965e12i | 0.125499 | − | 0.0627087i | ||||
\(871\) | − | 1.15317e12i | − | 0.0678907i | ||||||
\(872\) | −2.66499e12 | − | 1.30652e12i | −0.156088 | − | 0.0765227i | ||||
\(873\) | −2.45653e13 | + | 4.55798e12i | −1.43139 | + | 0.265588i | ||||
\(874\) | 2.33020e13 | − | 9.08251e12i | 1.35080 | − | 0.526507i | ||||
\(875\) | −8.19134e12 | −0.472409 | ||||||||
\(876\) | −8.34694e12 | − | 7.55668e12i | −0.478916 | − | 0.433573i | ||||
\(877\) | −8.58087e12 | −0.489816 | −0.244908 | − | 0.969546i | \(-0.578758\pi\) | ||||
−0.244908 | + | 0.969546i | \(0.578758\pi\) | |||||||
\(878\) | −1.41573e13 | + | 5.51812e12i | −0.803997 | + | 0.313376i | ||||
\(879\) | −4.39204e12 | + | 4.04014e11i | −0.248151 | + | 0.0228269i | ||||
\(880\) | 1.58212e13 | + | 1.33466e12i | 0.889336 | + | 0.0750237i | ||||
\(881\) | − | 7.89861e12i | − | 0.441732i | −0.975304 | − | 0.220866i | \(-0.929112\pi\) | ||
0.975304 | − | 0.220866i | \(-0.0708884\pi\) | |||||||
\(882\) | −4.35255e12 | − | 7.01831e12i | −0.242178 | − | 0.390503i | ||||
\(883\) | 1.77422e13i | 0.982166i | 0.871113 | + | 0.491083i | \(0.163399\pi\) | ||||
−0.871113 | + | 0.491083i | \(0.836601\pi\) | |||||||
\(884\) | 2.35753e12 | + | 2.56478e12i | 0.129844 | + | 0.141258i | ||||
\(885\) | 3.07531e13 | − | 2.82891e12i | 1.68517 | − | 0.155016i | ||||
\(886\) | 9.69864e12 | + | 2.48828e13i | 0.528761 | + | 1.35659i | ||||
\(887\) | −1.98102e13 | −1.07457 | −0.537283 | − | 0.843402i | \(-0.680549\pi\) | ||||
−0.537283 | + | 0.843402i | \(0.680549\pi\) | |||||||
\(888\) | 2.39400e12 | − | 6.28216e12i | 0.129201 | − | 0.339040i | ||||
\(889\) | 2.64330e13 | 1.41935 | ||||||||
\(890\) | −1.41168e13 | − | 3.62179e13i | −0.754189 | − | 1.93494i | ||||
\(891\) | −1.04250e13 | + | 4.00657e12i | −0.554149 | + | 0.212972i | ||||
\(892\) | 6.83417e12 | + | 7.43497e12i | 0.361447 | + | 0.393222i | ||||
\(893\) | − | 5.05559e12i | − | 0.266036i | ||||||
\(894\) | −3.55510e12 | − | 7.11480e12i | −0.186137 | − | 0.372515i | ||||
\(895\) | − | 1.44003e13i | − | 0.750184i | ||||||
\(896\) | 1.99910e13 | + | 1.19826e13i | 1.03621 | + | 0.621105i | ||||
\(897\) | 5.24701e11 | + | 5.70403e12i | 0.0270612 | + | 0.294182i | ||||
\(898\) | −2.59959e13 | + | 1.01325e13i | −1.33402 | + | 0.519964i | ||||
\(899\) | −4.82186e11 | −0.0246204 | ||||||||
\(900\) | −1.48919e13 | + | 1.98344e13i | −0.756586 | + | 1.00769i | ||||
\(901\) | −3.03988e13 | −1.53672 | ||||||||
\(902\) | 6.67890e12 | − | 2.60326e12i | 0.335951 | − | 0.130945i | ||||
\(903\) | −3.99653e11 | − | 4.34463e12i | −0.0200027 | − | 0.217449i | ||||
\(904\) | −1.06105e13 | + | 2.16429e13i | −0.528417 | + | 1.07785i | ||||
\(905\) | − | 4.66803e13i | − | 2.31321i | ||||||
\(906\) | 1.08949e13 | + | 2.18040e13i | 0.537214 | + | 1.07512i | ||||
\(907\) | 1.15965e13i | 0.568978i | 0.958679 | + | 0.284489i | \(0.0918239\pi\) | ||||
−0.958679 | + | 0.284489i | \(0.908176\pi\) | |||||||
\(908\) | 2.11860e13 | − | 1.94740e13i | 1.03434 | − | 0.950756i | ||||
\(909\) | 1.76415e12 | + | 9.50790e12i | 0.0857035 | + | 0.461899i | ||||
\(910\) | −2.82636e12 | − | 7.25129e12i | −0.136628 | − | 0.350533i | ||||
\(911\) | 7.72995e12 | 0.371829 | 0.185915 | − | 0.982566i | \(-0.440475\pi\) | ||||
0.185915 | + | 0.982566i | \(0.440475\pi\) | |||||||
\(912\) | 1.60764e11 | + | 2.12372e13i | 0.00769508 | + | 1.01653i | ||||
\(913\) | −1.65679e13 | −0.789131 | ||||||||
\(914\) | 1.42433e13 | + | 3.65425e13i | 0.675075 | + | 1.73197i | ||||
\(915\) | −4.52636e13 | + | 4.16371e12i | −2.13479 | + | 0.196375i | ||||
\(916\) | 8.75360e12 | − | 8.04625e12i | 0.410825 | − | 0.377628i | ||||
\(917\) | 1.57422e13i | 0.735196i | ||||||||
\(918\) | −1.20117e13 | − | 1.59044e13i | −0.558228 | − | 0.739137i | ||||
\(919\) | − | 2.00011e13i | − | 0.924983i | −0.886624 | − | 0.462491i | \(-0.846956\pi\) | ||
0.886624 | − | 0.462491i | \(-0.153044\pi\) | |||||||
\(920\) | −2.05083e13 | + | 4.18321e13i | −0.943809 | + | 1.92515i | ||||
\(921\) | −2.00423e12 | + | 1.84365e11i | −0.0917866 | + | 0.00844326i | ||||
\(922\) | −5.42225e11 | + | 2.11345e11i | −0.0247110 | + | 0.00963168i | ||||
\(923\) | 5.13236e12 | 0.232761 | ||||||||
\(924\) | 1.06655e13 | − | 1.17809e13i | 0.481347 | − | 0.531685i | ||||
\(925\) | −1.01798e13 | −0.457197 | ||||||||
\(926\) | 1.09629e11 | − | 4.27304e10i | 0.00489977 | − | 0.00190980i | ||||
\(927\) | 5.04086e12 | + | 2.71677e13i | 0.224205 | + | 1.20836i | ||||
\(928\) | 5.97828e11 | + | 2.02180e12i | 0.0264612 | + | 0.0894894i | ||||
\(929\) | − | 3.13669e13i | − | 1.38166i | −0.723018 | − | 0.690829i | \(-0.757246\pi\) | ||
0.723018 | − | 0.690829i | \(-0.242754\pi\) | |||||||
\(930\) | 8.09397e12 | − | 4.04437e12i | 0.354804 | − | 0.177287i | ||||
\(931\) | 1.07076e13i | 0.467111i | ||||||||
\(932\) | −3.26710e12 | − | 3.55432e12i | −0.141838 | − | 0.154307i | ||||
\(933\) | −1.19221e12 | − | 1.29605e13i | −0.0515094 | − | 0.559958i | ||||
\(934\) | −1.40983e13 | − | 3.61705e13i | −0.606185 | − | 1.55522i | ||||
\(935\) | 1.93191e13 | 0.826676 | ||||||||
\(936\) | −4.68494e12 | − | 1.30850e12i | −0.199509 | − | 0.0557229i | ||||
\(937\) | 2.19220e13 | 0.929078 | 0.464539 | − | 0.885553i | \(-0.346220\pi\) | ||||
0.464539 | + | 0.885553i | \(0.346220\pi\) | |||||||
\(938\) | −3.40920e12 | − | 8.74662e12i | −0.143794 | − | 0.368916i | ||||
\(939\) | −1.96342e12 | − | 2.13444e13i | −0.0824174 | − | 0.895959i | ||||
\(940\) | 6.37333e12 | + | 6.93361e12i | 0.266251 | + | 0.289657i | ||||
\(941\) | − | 8.09382e12i | − | 0.336512i | −0.985743 | − | 0.168256i | \(-0.946187\pi\) | ||
0.985743 | − | 0.168256i | \(-0.0538135\pi\) | |||||||
\(942\) | 2.19950e13 | − | 1.09904e13i | 0.910114 | − | 0.454763i | ||||
\(943\) | 2.10339e13i | 0.866199i | ||||||||
\(944\) | −2.30875e12 | + | 2.73680e13i | −0.0946242 | + | 1.12168i | ||||
\(945\) | 1.20989e13 | + | 4.28503e13i | 0.493518 | + | 1.74788i | ||||
\(946\) | 2.46278e12 | − | 9.59924e11i | 0.0999804 | − | 0.0389697i | ||||
\(947\) | −1.90674e13 | −0.770400 | −0.385200 | − | 0.922833i | \(-0.625868\pi\) | ||||
−0.385200 | + | 0.922833i | \(0.625868\pi\) | |||||||
\(948\) | 5.05981e12 | − | 5.58896e12i | 0.203468 | − | 0.224747i | ||||
\(949\) | −3.34364e12 | −0.133820 | ||||||||
\(950\) | 2.99629e13 | − | 1.16787e13i | 1.19352 | − | 0.465200i | ||||
\(951\) | −2.17432e13 | + | 2.00011e12i | −0.862008 | + | 0.0792943i | ||||
\(952\) | 2.54640e13 | + | 1.24838e13i | 1.00475 | + | 0.492583i | ||||
\(953\) | 4.62609e13i | 1.81675i | 0.418151 | + | 0.908377i | \(0.362678\pi\) | ||||
−0.418151 | + | 0.908377i | \(0.637322\pi\) | |||||||
\(954\) | 3.60719e13 | − | 2.23707e13i | 1.40994 | − | 0.874405i | ||||
\(955\) | − | 4.36746e13i | − | 1.69908i | ||||||
\(956\) | 7.76659e12 | − | 7.13899e12i | 0.300725 | − | 0.276424i | ||||
\(957\) | 1.43149e12 | − | 1.31680e11i | 0.0551677 | − | 0.00507476i | ||||
\(958\) | −5.60406e12 | − | 1.43777e13i | −0.214960 | − | 0.551501i | ||||
\(959\) | 4.90354e12 | 0.187209 | ||||||||
\(960\) | −2.69931e13 | − | 2.89236e13i | −1.02573 | − | 1.09909i | ||||
\(961\) | 2.45993e13 | 0.930394 | ||||||||
\(962\) | −7.25032e11 | − | 1.86014e12i | −0.0272941 | − | 0.0700257i | ||||
\(963\) | 4.01377e13 | − | 7.44739e12i | 1.50395 | − | 0.279052i | ||||
\(964\) | −5.03222e12 | + | 4.62558e12i | −0.187678 | + | 0.172512i | ||||
\(965\) | − | 2.96377e13i | − | 1.10020i | ||||||
\(966\) | 2.08431e13 | + | 4.17131e13i | 0.770130 | + | 1.54126i | ||||
\(967\) | − | 1.03722e13i | − | 0.381462i | −0.981642 | − | 0.190731i | \(-0.938914\pi\) | ||
0.981642 | − | 0.190731i | \(-0.0610857\pi\) | |||||||
\(968\) | −1.58836e13 | − | 7.78697e12i | −0.581446 | − | 0.285055i | ||||
\(969\) | 2.36712e12 | + | 2.57329e13i | 0.0862507 | + | 0.937631i | ||||
\(970\) | −5.62254e13 | + | 2.19152e13i | −2.03920 | + | 0.794825i | ||||
\(971\) | −3.22774e13 | −1.16523 | −0.582616 | − | 0.812748i | \(-0.697971\pi\) | ||||
−0.582616 | + | 0.812748i | \(0.697971\pi\) | |||||||
\(972\) | 2.59575e13 | + | 1.00330e13i | 0.932750 | + | 0.360524i | ||||
\(973\) | −2.59220e13 | −0.927172 | ||||||||
\(974\) | −4.36676e13 | + | 1.70205e13i | −1.55469 | + | 0.605976i | ||||
\(975\) | 6.74688e11 | + | 7.33452e12i | 0.0239101 | + | 0.259927i | ||||
\(976\) | 3.39810e12 | − | 4.02814e13i | 0.119871 | − | 1.42095i | ||||
\(977\) | − | 3.63960e13i | − | 1.27799i | −0.769210 | − | 0.638996i | \(-0.779350\pi\) | ||
0.769210 | − | 0.638996i | \(-0.220650\pi\) | |||||||
\(978\) | −1.32835e13 | − | 2.65842e13i | −0.464288 | − | 0.929176i | ||||
\(979\) | − | 2.35711e13i | − | 0.820082i | ||||||
\(980\) | −1.34986e13 | − | 1.46853e13i | −0.467488 | − | 0.508586i | ||||
\(981\) | 4.95796e12 | − | 9.19929e11i | 0.170920 | − | 0.0317135i | ||||
\(982\) | −1.97103e13 | − | 5.05688e13i | −0.676383 | − | 1.73532i | ||||
\(983\) | 4.83865e13 | 1.65285 | 0.826424 | − | 0.563048i | \(-0.190371\pi\) | ||||
0.826424 | + | 0.563048i | \(0.190371\pi\) | |||||||
\(984\) | −1.66909e13 | − | 6.36054e12i | −0.567546 | − | 0.216280i | ||||
\(985\) | 3.88282e13 | 1.31427 | ||||||||
\(986\) | 9.31640e11 | + | 2.39021e12i | 0.0313908 | + | 0.0805361i | ||||
\(987\) | 9.38659e12 | − | 8.63453e11i | 0.314833 | − | 0.0289608i | ||||
\(988\) | 4.26806e12 | + | 4.64327e12i | 0.142503 | + | 0.155031i | ||||
\(989\) | 7.75604e12i | 0.257785i | ||||||||
\(990\) | −2.29245e13 | + | 1.42171e13i | −0.758476 | + | 0.470384i | ||||
\(991\) | 2.47228e13i | 0.814267i | 0.913369 | + | 0.407133i | \(0.133472\pi\) | ||||
−0.913369 | + | 0.407133i | \(0.866528\pi\) | |||||||
\(992\) | 2.28172e12 | + | 7.71657e12i | 0.0748101 | + | 0.253001i | ||||
\(993\) | −1.19456e13 | + | 1.09885e12i | −0.389885 | + | 0.0358647i | ||||
\(994\) | 3.89283e13 | − | 1.51732e13i | 1.26481 | − | 0.492991i | ||||
\(995\) | 7.48259e13 | 2.42018 | ||||||||
\(996\) | 3.06045e13 | + | 2.77070e13i | 0.985413 | + | 0.892117i | ||||
\(997\) | −5.88007e13 | −1.88475 | −0.942376 | − | 0.334555i | \(-0.891414\pi\) | ||||
−0.942376 | + | 0.334555i | \(0.891414\pi\) | |||||||
\(998\) | −2.88325e13 | + | 1.12381e13i | −0.920014 | + | 0.358597i | ||||
\(999\) | 3.10368e12 | + | 1.09922e13i | 0.0985897 | + | 0.349172i |
(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 | 12.10.b.a.11.7 | ✓ | 16 | |
3.2 | odd | 2 | inner | 12.10.b.a.11.10 | yes | 16 | |
4.3 | odd | 2 | inner | 12.10.b.a.11.9 | yes | 16 | |
8.3 | odd | 2 | 192.10.c.d.191.7 | 16 | |||
8.5 | even | 2 | 192.10.c.d.191.10 | 16 | |||
12.11 | even | 2 | inner | 12.10.b.a.11.8 | yes | 16 | |
24.5 | odd | 2 | 192.10.c.d.191.8 | 16 | |||
24.11 | even | 2 | 192.10.c.d.191.9 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.10.b.a.11.7 | ✓ | 16 | 1.1 | even | 1 | trivial | |
12.10.b.a.11.8 | yes | 16 | 12.11 | even | 2 | inner | |
12.10.b.a.11.9 | yes | 16 | 4.3 | odd | 2 | inner | |
12.10.b.a.11.10 | yes | 16 | 3.2 | odd | 2 | inner | |
192.10.c.d.191.7 | 16 | 8.3 | odd | 2 | |||
192.10.c.d.191.8 | 16 | 24.5 | odd | 2 | |||
192.10.c.d.191.9 | 16 | 24.11 | even | 2 | |||
192.10.c.d.191.10 | 16 | 8.5 | even | 2 |