Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,10,Mod(7,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.7");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.c (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(19.5713617742\) |
Analytic rank: | \(0\) |
Dimension: | \(14\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{14} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{14} - 3 x^{13} + 93094 x^{12} + 3763497 x^{11} + 6525212431 x^{10} + 244392759522 x^{9} + \cdots + 37\!\cdots\!25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{10}\cdot 3^{6}\cdot 5^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 7.1 | ||
Root | \(125.259 + 216.954i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.7 |
Dual form | 38.10.c.a.11.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 8.00000 | + | 13.8564i | 0.353553 | + | 0.612372i | ||||
\(3\) | −113.259 | − | 196.170i | −0.807282 | − | 1.39825i | −0.914740 | − | 0.404044i | \(-0.867604\pi\) |
0.107458 | − | 0.994210i | \(-0.465729\pi\) | |||||||
\(4\) | −128.000 | + | 221.703i | −0.250000 | + | 0.433013i | ||||
\(5\) | 563.006 | + | 975.155i | 0.402854 | + | 0.697764i | 0.994069 | − | 0.108750i | \(-0.0346847\pi\) |
−0.591215 | + | 0.806514i | \(0.701351\pi\) | |||||||
\(6\) | 1812.14 | − | 3138.71i | 0.570835 | − | 0.988714i | ||||
\(7\) | 3883.37 | 0.611319 | 0.305660 | − | 0.952141i | \(-0.401123\pi\) | ||||
0.305660 | + | 0.952141i | \(0.401123\pi\) | |||||||
\(8\) | −4096.00 | −0.353553 | ||||||||
\(9\) | −15813.5 | + | 27389.8i | −0.803408 | + | 1.39154i | ||||
\(10\) | −9008.10 | + | 15602.5i | −0.284861 | + | 0.493394i | ||||
\(11\) | 15531.5 | 0.319849 | 0.159925 | − | 0.987129i | \(-0.448875\pi\) | ||||
0.159925 | + | 0.987129i | \(0.448875\pi\) | |||||||
\(12\) | 57988.4 | 0.807282 | ||||||||
\(13\) | 31704.0 | − | 54912.9i | 0.307871 | − | 0.533248i | −0.670025 | − | 0.742338i | \(-0.733717\pi\) |
0.977896 | + | 0.209090i | \(0.0670501\pi\) | |||||||
\(14\) | 31067.0 | + | 53809.6i | 0.216134 | + | 0.374355i | ||||
\(15\) | 127531. | − | 220889.i | 0.650434 | − | 1.12659i | ||||
\(16\) | −32768.0 | − | 56755.8i | −0.125000 | − | 0.216506i | ||||
\(17\) | −194058. | − | 336118.i | −0.563522 | − | 0.976048i | −0.997186 | − | 0.0749733i | \(-0.976113\pi\) |
0.433664 | − | 0.901075i | \(-0.357220\pi\) | |||||||
\(18\) | −506032. | −1.13619 | ||||||||
\(19\) | −299995. | − | 482380.i | −0.528108 | − | 0.849177i | ||||
\(20\) | −288259. | −0.402854 | ||||||||
\(21\) | −439825. | − | 761800.i | −0.493507 | − | 0.854779i | ||||
\(22\) | 124252. | + | 215210.i | 0.113084 | + | 0.195867i | ||||
\(23\) | 1.03946e6 | − | 1.80039e6i | 0.774519 | − | 1.34151i | −0.160546 | − | 0.987028i | \(-0.551326\pi\) |
0.935065 | − | 0.354477i | \(-0.115341\pi\) | |||||||
\(24\) | 463907. | + | 803510.i | 0.285417 | + | 0.494357i | ||||
\(25\) | 342611. | − | 593419.i | 0.175417 | − | 0.303830i | ||||
\(26\) | 1.01453e6 | 0.435395 | ||||||||
\(27\) | 2.70551e6 | 0.979744 | ||||||||
\(28\) | −497072. | + | 860954.i | −0.152830 | + | 0.264709i | ||||
\(29\) | −877176. | + | 1.51931e6i | −0.230301 | + | 0.398893i | −0.957897 | − | 0.287113i | \(-0.907304\pi\) |
0.727596 | + | 0.686006i | \(0.240638\pi\) | |||||||
\(30\) | 4.08098e6 | 0.919853 | ||||||||
\(31\) | 5.35854e6 | 1.04212 | 0.521061 | − | 0.853520i | \(-0.325536\pi\) | ||||
0.521061 | + | 0.853520i | \(0.325536\pi\) | |||||||
\(32\) | 524288. | − | 908093.i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −1.75907e6 | − | 3.04680e6i | −0.258209 | − | 0.447230i | ||||
\(34\) | 3.10492e6 | − | 5.37788e6i | 0.398470 | − | 0.690170i | ||||
\(35\) | 2.18636e6 | + | 3.78689e6i | 0.246273 | + | 0.426557i | ||||
\(36\) | −4.04825e6 | − | 7.01178e6i | −0.401704 | − | 0.695772i | ||||
\(37\) | −3.73447e6 | −0.327583 | −0.163791 | − | 0.986495i | \(-0.552372\pi\) | ||||
−0.163791 | + | 0.986495i | \(0.552372\pi\) | |||||||
\(38\) | 4.28410e6 | − | 8.01590e6i | 0.333298 | − | 0.623628i | ||||
\(39\) | −1.43630e7 | −0.994155 | ||||||||
\(40\) | −2.30607e6 | − | 3.99424e6i | −0.142431 | − | 0.246697i | ||||
\(41\) | −5.25338e6 | − | 9.09913e6i | −0.290343 | − | 0.502889i | 0.683548 | − | 0.729906i | \(-0.260436\pi\) |
−0.973891 | + | 0.227017i | \(0.927103\pi\) | |||||||
\(42\) | 7.03720e6 | − | 1.21888e7i | 0.348962 | − | 0.604420i | ||||
\(43\) | −1.21044e6 | − | 2.09654e6i | −0.0539927 | − | 0.0935182i | 0.837766 | − | 0.546030i | \(-0.183861\pi\) |
−0.891759 | + | 0.452512i | \(0.850528\pi\) | |||||||
\(44\) | −1.98803e6 | + | 3.44337e6i | −0.0799623 | + | 0.138499i | ||||
\(45\) | −3.56124e7 | −1.29463 | ||||||||
\(46\) | 3.32627e7 | 1.09533 | ||||||||
\(47\) | 7.75370e6 | − | 1.34298e7i | 0.231776 | − | 0.401448i | −0.726555 | − | 0.687108i | \(-0.758880\pi\) |
0.958331 | + | 0.285661i | \(0.0922130\pi\) | |||||||
\(48\) | −7.42251e6 | + | 1.28562e7i | −0.201820 | + | 0.349563i | ||||
\(49\) | −2.52730e7 | −0.626289 | ||||||||
\(50\) | 1.09635e7 | 0.248077 | ||||||||
\(51\) | −4.39574e7 | + | 7.61364e7i | −0.909842 | + | 1.57589i | ||||
\(52\) | 8.11622e6 | + | 1.40577e7i | 0.153936 | + | 0.266624i | ||||
\(53\) | 4.64556e7 | − | 8.04634e7i | 0.808717 | − | 1.40074i | −0.105036 | − | 0.994468i | \(-0.533496\pi\) |
0.913753 | − | 0.406271i | \(-0.133171\pi\) | |||||||
\(54\) | 2.16441e7 | + | 3.74887e7i | 0.346392 | + | 0.599968i | ||||
\(55\) | 8.74431e6 | + | 1.51456e7i | 0.128853 | + | 0.223179i | ||||
\(56\) | −1.59063e7 | −0.216134 | ||||||||
\(57\) | −6.06513e7 | + | 1.13484e8i | −0.761032 | + | 1.42395i | ||||
\(58\) | −2.80696e7 | −0.325695 | ||||||||
\(59\) | 7.63235e7 | + | 1.32196e8i | 0.820019 | + | 1.42031i | 0.905667 | + | 0.423989i | \(0.139371\pi\) |
−0.0856479 | + | 0.996325i | \(0.527296\pi\) | |||||||
\(60\) | 3.26478e7 | + | 5.65477e7i | 0.325217 | + | 0.563293i | ||||
\(61\) | 4.07725e7 | − | 7.06201e7i | 0.377036 | − | 0.653046i | −0.613593 | − | 0.789622i | \(-0.710277\pi\) |
0.990630 | + | 0.136576i | \(0.0436098\pi\) | |||||||
\(62\) | 4.28683e7 | + | 7.42500e7i | 0.368446 | + | 0.638167i | ||||
\(63\) | −6.14097e7 | + | 1.06365e8i | −0.491139 | + | 0.850678i | ||||
\(64\) | 1.67772e7 | 0.125000 | ||||||||
\(65\) | 7.13982e7 | 0.496109 | ||||||||
\(66\) | 2.81451e7 | − | 4.87488e7i | 0.182581 | − | 0.316240i | ||||
\(67\) | −1.20835e7 | + | 2.09292e7i | −0.0732579 | + | 0.126886i | −0.900327 | − | 0.435213i | \(-0.856673\pi\) |
0.827069 | + | 0.562100i | \(0.190006\pi\) | |||||||
\(68\) | 9.93575e7 | 0.563522 | ||||||||
\(69\) | −4.70910e8 | −2.50102 | ||||||||
\(70\) | −3.49818e7 | + | 6.05903e7i | −0.174141 | + | 0.301621i | ||||
\(71\) | −4.31819e7 | − | 7.47932e7i | −0.201669 | − | 0.349301i | 0.747397 | − | 0.664377i | \(-0.231303\pi\) |
−0.949066 | + | 0.315077i | \(0.897970\pi\) | |||||||
\(72\) | 6.47720e7 | − | 1.12188e8i | 0.284048 | − | 0.491985i | ||||
\(73\) | −2.08408e8 | − | 3.60973e8i | −0.858937 | − | 1.48772i | −0.872943 | − | 0.487821i | \(-0.837792\pi\) |
0.0140061 | − | 0.999902i | \(-0.495542\pi\) | |||||||
\(74\) | −2.98757e7 | − | 5.17463e7i | −0.115818 | − | 0.200603i | ||||
\(75\) | −1.55214e8 | −0.566443 | ||||||||
\(76\) | 1.45344e8 | − | 4.76499e6i | 0.499732 | − | 0.0163833i | ||||
\(77\) | 6.03145e7 | 0.195530 | ||||||||
\(78\) | −1.14904e8 | − | 1.99019e8i | −0.351487 | − | 0.608793i | ||||
\(79\) | 1.95659e8 | + | 3.38892e8i | 0.565169 | + | 0.978902i | 0.997034 | + | 0.0769634i | \(0.0245225\pi\) |
−0.431865 | + | 0.901938i | \(0.642144\pi\) | |||||||
\(80\) | 3.68972e7 | − | 6.39078e7i | 0.100714 | − | 0.174441i | ||||
\(81\) | 4.83443e6 | + | 8.37347e6i | 0.0124785 | + | 0.0216134i | ||||
\(82\) | 8.40541e7 | − | 1.45586e8i | 0.205304 | − | 0.355596i | ||||
\(83\) | 5.21784e8 | 1.20681 | 0.603406 | − | 0.797434i | \(-0.293810\pi\) | ||||
0.603406 | + | 0.797434i | \(0.293810\pi\) | |||||||
\(84\) | 2.25191e8 | 0.493507 | ||||||||
\(85\) | 2.18511e8 | − | 3.78473e8i | 0.454034 | − | 0.786411i | ||||
\(86\) | 1.93670e7 | − | 3.35447e7i | 0.0381786 | − | 0.0661273i | ||||
\(87\) | 3.97390e8 | 0.743671 | ||||||||
\(88\) | −6.36169e7 | −0.113084 | ||||||||
\(89\) | −5.36976e8 | + | 9.30070e8i | −0.907193 | + | 1.57131i | −0.0892478 | + | 0.996009i | \(0.528446\pi\) |
−0.817946 | + | 0.575296i | \(0.804887\pi\) | |||||||
\(90\) | −2.84899e8 | − | 4.93459e8i | −0.457720 | − | 0.792794i | ||||
\(91\) | 1.23118e8 | − | 2.13247e8i | 0.188208 | − | 0.325985i | ||||
\(92\) | 2.66101e8 | + | 4.60901e8i | 0.387259 | + | 0.670753i | ||||
\(93\) | −6.06900e8 | − | 1.05118e9i | −0.841286 | − | 1.45715i | ||||
\(94\) | 2.48118e8 | 0.327781 | ||||||||
\(95\) | 3.01497e8 | − | 5.64125e8i | 0.379775 | − | 0.710590i | ||||
\(96\) | −2.37520e8 | −0.285417 | ||||||||
\(97\) | 2.40853e8 | + | 4.17170e8i | 0.276236 | + | 0.478454i | 0.970446 | − | 0.241318i | \(-0.0775797\pi\) |
−0.694211 | + | 0.719772i | \(0.744246\pi\) | |||||||
\(98\) | −2.02184e8 | − | 3.50193e8i | −0.221427 | − | 0.383522i | ||||
\(99\) | −2.45607e8 | + | 4.25403e8i | −0.256970 | + | 0.445084i | ||||
\(100\) | 8.77083e7 | + | 1.51915e8i | 0.0877083 | + | 0.151915i | ||||
\(101\) | 9.00400e8 | − | 1.55954e9i | 0.860973 | − | 1.49125i | −0.0100188 | − | 0.999950i | \(-0.503189\pi\) |
0.870991 | − | 0.491298i | \(-0.163478\pi\) | |||||||
\(102\) | −1.40664e9 | −1.28671 | ||||||||
\(103\) | −6.78117e8 | −0.593659 | −0.296829 | − | 0.954930i | \(-0.595929\pi\) | ||||
−0.296829 | + | 0.954930i | \(0.595929\pi\) | |||||||
\(104\) | −1.29860e8 | + | 2.24923e8i | −0.108849 | + | 0.188532i | ||||
\(105\) | 4.95249e8 | − | 8.57796e8i | 0.397623 | − | 0.688703i | ||||
\(106\) | 1.48658e9 | 1.14370 | ||||||||
\(107\) | −7.26008e8 | −0.535445 | −0.267722 | − | 0.963496i | \(-0.586271\pi\) | ||||
−0.267722 | + | 0.963496i | \(0.586271\pi\) | |||||||
\(108\) | −3.46306e8 | + | 5.99819e8i | −0.244936 | + | 0.424242i | ||||
\(109\) | 3.49459e8 | + | 6.05281e8i | 0.237125 | + | 0.410712i | 0.959888 | − | 0.280383i | \(-0.0904616\pi\) |
−0.722763 | + | 0.691096i | \(0.757128\pi\) | |||||||
\(110\) | −1.39909e8 | + | 2.42330e8i | −0.0911126 | + | 0.157812i | ||||
\(111\) | 4.22960e8 | + | 7.32588e8i | 0.264451 | + | 0.458043i | ||||
\(112\) | −1.27250e8 | − | 2.20404e8i | −0.0764149 | − | 0.132355i | ||||
\(113\) | 1.94073e9 | 1.11973 | 0.559863 | − | 0.828585i | \(-0.310854\pi\) | ||||
0.559863 | + | 0.828585i | \(0.310854\pi\) | |||||||
\(114\) | −2.05768e9 | + | 6.74595e7i | −1.14106 | + | 0.0374086i | ||||
\(115\) | 2.34089e9 | 1.24807 | ||||||||
\(116\) | −2.24557e8 | − | 3.88944e8i | −0.115150 | − | 0.199446i | ||||
\(117\) | 1.00270e9 | + | 1.73673e9i | 0.494692 | + | 0.856832i | ||||
\(118\) | −1.22118e9 | + | 2.11514e9i | −0.579841 | + | 1.00431i | ||||
\(119\) | −7.53598e8 | − | 1.30527e9i | −0.344492 | − | 0.596677i | ||||
\(120\) | −5.22365e8 | + | 9.04763e8i | −0.229963 | + | 0.398308i | ||||
\(121\) | −2.11672e9 | −0.897696 | ||||||||
\(122\) | 1.30472e9 | 0.533210 | ||||||||
\(123\) | −1.18998e9 | + | 2.06111e9i | −0.468778 | + | 0.811947i | ||||
\(124\) | −6.85892e8 | + | 1.18800e9i | −0.260530 | + | 0.451252i | ||||
\(125\) | 2.97081e9 | 1.08838 | ||||||||
\(126\) | −1.96511e9 | −0.694575 | ||||||||
\(127\) | −1.42318e9 | + | 2.46502e9i | −0.485448 | + | 0.840820i | −0.999860 | − | 0.0167229i | \(-0.994677\pi\) |
0.514413 | + | 0.857543i | \(0.328010\pi\) | |||||||
\(128\) | 1.34218e8 | + | 2.32472e8i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | −2.74185e8 | + | 4.74903e8i | −0.0871747 | + | 0.150991i | ||||
\(130\) | 5.71185e8 | + | 9.89322e8i | 0.175401 | + | 0.303803i | ||||
\(131\) | −7.71494e8 | − | 1.33627e9i | −0.228882 | − | 0.396436i | 0.728595 | − | 0.684945i | \(-0.240174\pi\) |
−0.957477 | + | 0.288509i | \(0.906840\pi\) | |||||||
\(132\) | 9.00644e8 | 0.258209 | ||||||||
\(133\) | −1.16499e9 | − | 1.87326e9i | −0.322843 | − | 0.519118i | ||||
\(134\) | −3.86671e8 | −0.103602 | ||||||||
\(135\) | 1.52322e9 | + | 2.63830e9i | 0.394694 | + | 0.683631i | ||||
\(136\) | 7.94860e8 | + | 1.37674e9i | 0.199235 | + | 0.345085i | ||||
\(137\) | −2.21139e9 | + | 3.83025e9i | −0.536319 | + | 0.928932i | 0.462779 | + | 0.886474i | \(0.346852\pi\) |
−0.999098 | + | 0.0424585i | \(0.986481\pi\) | |||||||
\(138\) | −3.76728e9 | − | 6.52512e9i | −0.884244 | − | 1.53156i | ||||
\(139\) | 2.31412e9 | − | 4.00818e9i | 0.525799 | − | 0.910711i | −0.473749 | − | 0.880660i | \(-0.657100\pi\) |
0.999548 | − | 0.0300512i | \(-0.00956705\pi\) | |||||||
\(140\) | −1.11942e9 | −0.246273 | ||||||||
\(141\) | −3.51269e9 | −0.748434 | ||||||||
\(142\) | 6.90910e8 | − | 1.19669e9i | 0.142601 | − | 0.246993i | ||||
\(143\) | 4.92410e8 | − | 8.52878e8i | 0.0984724 | − | 0.170559i | ||||
\(144\) | 2.07271e9 | 0.401704 | ||||||||
\(145\) | −1.97542e9 | −0.371111 | ||||||||
\(146\) | 3.33453e9 | − | 5.77557e9i | 0.607360 | − | 1.05198i | ||||
\(147\) | 2.86238e9 | + | 4.95779e9i | 0.505592 | + | 0.875710i | ||||
\(148\) | 4.78012e8 | − | 8.27940e8i | 0.0818956 | − | 0.141847i | ||||
\(149\) | −9.16638e8 | − | 1.58766e9i | −0.152356 | − | 0.263888i | 0.779737 | − | 0.626107i | \(-0.215353\pi\) |
−0.932093 | + | 0.362219i | \(0.882019\pi\) | |||||||
\(150\) | −1.24171e9 | − | 2.15071e9i | −0.200268 | − | 0.346874i | ||||
\(151\) | −3.59113e9 | −0.562128 | −0.281064 | − | 0.959689i | \(-0.590687\pi\) | ||||
−0.281064 | + | 0.959689i | \(0.590687\pi\) | |||||||
\(152\) | 1.22878e9 | + | 1.97583e9i | 0.186714 | + | 0.300229i | ||||
\(153\) | 1.22749e10 | 1.81095 | ||||||||
\(154\) | 4.82516e8 | + | 8.35742e8i | 0.0691303 | + | 0.119737i | ||||
\(155\) | 3.01689e9 | + | 5.22540e9i | 0.419823 | + | 0.727155i | ||||
\(156\) | 1.83846e9 | − | 3.18431e9i | 0.248539 | − | 0.430482i | ||||
\(157\) | −1.80240e9 | − | 3.12185e9i | −0.236757 | − | 0.410075i | 0.723025 | − | 0.690822i | \(-0.242751\pi\) |
−0.959782 | + | 0.280747i | \(0.909418\pi\) | |||||||
\(158\) | −3.13055e9 | + | 5.42227e9i | −0.399635 | + | 0.692188i | ||||
\(159\) | −2.10460e10 | −2.61145 | ||||||||
\(160\) | 1.18071e9 | 0.142431 | ||||||||
\(161\) | 4.03661e9 | − | 6.99161e9i | 0.473478 | − | 0.820088i | ||||
\(162\) | −7.73508e7 | + | 1.33976e8i | −0.00882363 | + | 0.0152830i | ||||
\(163\) | −5.35714e9 | −0.594413 | −0.297207 | − | 0.954813i | \(-0.596055\pi\) | ||||
−0.297207 | + | 0.954813i | \(0.596055\pi\) | |||||||
\(164\) | 2.68973e9 | 0.290343 | ||||||||
\(165\) | 1.98074e9 | − | 3.43074e9i | 0.208041 | − | 0.360338i | ||||
\(166\) | 4.17428e9 | + | 7.23006e9i | 0.426673 | + | 0.739019i | ||||
\(167\) | 8.62635e9 | − | 1.49413e10i | 0.858229 | − | 1.48650i | −0.0153886 | − | 0.999882i | \(-0.504899\pi\) |
0.873617 | − | 0.486614i | \(-0.161768\pi\) | |||||||
\(168\) | 1.80152e9 | + | 3.12033e9i | 0.174481 | + | 0.302210i | ||||
\(169\) | 3.29196e9 | + | 5.70185e9i | 0.310431 | + | 0.537682i | ||||
\(170\) | 6.99236e9 | 0.642102 | ||||||||
\(171\) | 1.79562e10 | − | 5.88681e8i | 1.60595 | − | 0.0526499i | ||||
\(172\) | 6.19746e8 | 0.0539927 | ||||||||
\(173\) | 1.95418e9 | + | 3.38475e9i | 0.165866 | + | 0.287289i | 0.936963 | − | 0.349430i | \(-0.113625\pi\) |
−0.771096 | + | 0.636719i | \(0.780291\pi\) | |||||||
\(174\) | 3.17912e9 | + | 5.50640e9i | 0.262927 | + | 0.455404i | ||||
\(175\) | 1.33048e9 | − | 2.30447e9i | 0.107236 | − | 0.185737i | ||||
\(176\) | −5.08935e8 | − | 8.81502e8i | −0.0399812 | − | 0.0692494i | ||||
\(177\) | 1.72886e10 | − | 2.99447e10i | 1.32397 | − | 2.29319i | ||||
\(178\) | −1.71832e10 | −1.28297 | ||||||||
\(179\) | −1.63553e10 | −1.19075 | −0.595376 | − | 0.803447i | \(-0.702997\pi\) | ||||
−0.595376 | + | 0.803447i | \(0.702997\pi\) | |||||||
\(180\) | 4.55838e9 | − | 7.89535e9i | 0.323657 | − | 0.560590i | ||||
\(181\) | −1.30718e10 | + | 2.26411e10i | −0.905279 | + | 1.56799i | −0.0847370 | + | 0.996403i | \(0.527005\pi\) |
−0.820542 | + | 0.571586i | \(0.806328\pi\) | |||||||
\(182\) | 3.93979e9 | 0.266166 | ||||||||
\(183\) | −1.84713e10 | −1.21750 | ||||||||
\(184\) | −4.25762e9 | + | 7.37442e9i | −0.273834 | + | 0.474294i | ||||
\(185\) | −2.10253e9 | − | 3.64168e9i | −0.131968 | − | 0.228575i | ||||
\(186\) | 9.71040e9 | − | 1.68189e10i | 0.594879 | − | 1.03036i | ||||
\(187\) | −3.01400e9 | − | 5.22040e9i | −0.180242 | − | 0.312188i | ||||
\(188\) | 1.98495e9 | + | 3.43803e9i | 0.115888 | + | 0.200724i | ||||
\(189\) | 1.05065e10 | 0.598936 | ||||||||
\(190\) | 1.02287e10 | − | 3.35340e8i | 0.569416 | − | 0.0186679i | ||||
\(191\) | −3.01937e10 | −1.64160 | −0.820799 | − | 0.571217i | \(-0.806471\pi\) | ||||
−0.820799 | + | 0.571217i | \(0.806471\pi\) | |||||||
\(192\) | −1.90016e9 | − | 3.29118e9i | −0.100910 | − | 0.174782i | ||||
\(193\) | 3.77833e9 | + | 6.54425e9i | 0.196016 | + | 0.339510i | 0.947233 | − | 0.320546i | \(-0.103866\pi\) |
−0.751217 | + | 0.660055i | \(0.770533\pi\) | |||||||
\(194\) | −3.85365e9 | + | 6.67472e9i | −0.195328 | + | 0.338318i | ||||
\(195\) | −8.08645e9 | − | 1.40061e10i | −0.400500 | − | 0.693686i | ||||
\(196\) | 3.23495e9 | − | 5.60309e9i | 0.156572 | − | 0.271191i | ||||
\(197\) | −3.64564e10 | −1.72455 | −0.862274 | − | 0.506442i | \(-0.830961\pi\) | ||||
−0.862274 | + | 0.506442i | \(0.830961\pi\) | |||||||
\(198\) | −7.85941e9 | −0.363410 | ||||||||
\(199\) | −4.26861e9 | + | 7.39345e9i | −0.192951 | + | 0.334202i | −0.946227 | − | 0.323503i | \(-0.895139\pi\) |
0.753276 | + | 0.657705i | \(0.228473\pi\) | |||||||
\(200\) | −1.40333e9 | + | 2.43064e9i | −0.0620191 | + | 0.107420i | ||||
\(201\) | 5.47422e9 | 0.236559 | ||||||||
\(202\) | 2.88128e10 | 1.21760 | ||||||||
\(203\) | −3.40640e9 | + | 5.90006e9i | −0.140787 | + | 0.243851i | ||||
\(204\) | −1.12531e10 | − | 1.94909e10i | −0.454921 | − | 0.787946i | ||||
\(205\) | 5.91538e9 | − | 1.02457e10i | 0.233932 | − | 0.405182i | ||||
\(206\) | −5.42493e9 | − | 9.39626e9i | −0.209890 | − | 0.363540i | ||||
\(207\) | 3.28749e10 | + | 5.69410e10i | 1.24451 | + | 2.15555i | ||||
\(208\) | −4.15551e9 | −0.153936 | ||||||||
\(209\) | −4.65936e9 | − | 7.49207e9i | −0.168915 | − | 0.271609i | ||||
\(210\) | 1.58480e10 | 0.562324 | ||||||||
\(211\) | 1.81426e10 | + | 3.14240e10i | 0.630129 | + | 1.09141i | 0.987525 | + | 0.157462i | \(0.0503312\pi\) |
−0.357396 | + | 0.933953i | \(0.616335\pi\) | |||||||
\(212\) | 1.18926e10 | + | 2.05986e10i | 0.404359 | + | 0.700369i | ||||
\(213\) | −9.78143e9 | + | 1.69419e10i | −0.325607 | + | 0.563968i | ||||
\(214\) | −5.80807e9 | − | 1.00599e10i | −0.189308 | − | 0.327891i | ||||
\(215\) | 1.36297e9 | − | 2.36073e9i | 0.0435024 | − | 0.0753484i | ||||
\(216\) | −1.10818e10 | −0.346392 | ||||||||
\(217\) | 2.08092e10 | 0.637069 | ||||||||
\(218\) | −5.59135e9 | + | 9.68450e9i | −0.167673 | + | 0.290418i | ||||
\(219\) | −4.72080e10 | + | 8.17666e10i | −1.38681 | + | 2.40202i | ||||
\(220\) | −4.47709e9 | −0.128853 | ||||||||
\(221\) | −2.46096e10 | −0.693968 | ||||||||
\(222\) | −6.76736e9 | + | 1.17214e10i | −0.186995 | + | 0.323886i | ||||
\(223\) | 1.74409e10 | + | 3.02085e10i | 0.472277 | + | 0.818007i | 0.999497 | − | 0.0317216i | \(-0.0100990\pi\) |
−0.527220 | + | 0.849729i | \(0.676766\pi\) | |||||||
\(224\) | 2.03601e9 | − | 3.52647e9i | 0.0540335 | − | 0.0935888i | ||||
\(225\) | 1.08357e10 | + | 1.87680e10i | 0.281862 | + | 0.488200i | ||||
\(226\) | 1.55258e10 | + | 2.68915e10i | 0.395883 | + | 0.685689i | ||||
\(227\) | 6.51855e10 | 1.62943 | 0.814714 | − | 0.579864i | \(-0.196894\pi\) | ||||
0.814714 | + | 0.579864i | \(0.196894\pi\) | |||||||
\(228\) | −1.73962e10 | − | 2.79724e10i | −0.426332 | − | 0.685525i | ||||
\(229\) | 3.11766e10 | 0.749151 | 0.374576 | − | 0.927196i | \(-0.377788\pi\) | ||||
0.374576 | + | 0.927196i | \(0.377788\pi\) | |||||||
\(230\) | 1.87271e10 | + | 3.24363e10i | 0.441260 | + | 0.764286i | ||||
\(231\) | −6.83113e9 | − | 1.18319e10i | −0.157848 | − | 0.273401i | ||||
\(232\) | 3.59291e9 | − | 6.22310e9i | 0.0814236 | − | 0.141030i | ||||
\(233\) | −3.91702e10 | − | 6.78447e10i | −0.870671 | − | 1.50805i | −0.861304 | − | 0.508090i | \(-0.830352\pi\) |
−0.00936638 | − | 0.999956i | \(-0.502981\pi\) | |||||||
\(234\) | −1.60432e10 | + | 2.77877e10i | −0.349800 | + | 0.605872i | ||||
\(235\) | 1.74615e10 | 0.373488 | ||||||||
\(236\) | −3.90776e10 | −0.820019 | ||||||||
\(237\) | 4.43202e10 | − | 7.67648e10i | 0.912502 | − | 1.58050i | ||||
\(238\) | 1.20576e10 | − | 2.08843e10i | 0.243592 | − | 0.421914i | ||||
\(239\) | 1.00229e10 | 0.198703 | 0.0993514 | − | 0.995052i | \(-0.468323\pi\) | ||||
0.0993514 | + | 0.995052i | \(0.468323\pi\) | |||||||
\(240\) | −1.67157e10 | −0.325217 | ||||||||
\(241\) | 1.77720e10 | − | 3.07821e10i | 0.339360 | − | 0.587789i | −0.644952 | − | 0.764223i | \(-0.723123\pi\) |
0.984312 | + | 0.176434i | \(0.0564562\pi\) | |||||||
\(242\) | −1.69338e10 | − | 2.93301e10i | −0.317384 | − | 0.549725i | ||||
\(243\) | 2.77214e10 | − | 4.80149e10i | 0.510019 | − | 0.883380i | ||||
\(244\) | 1.04378e10 | + | 1.80787e10i | 0.188518 | + | 0.326523i | ||||
\(245\) | −1.42289e10 | − | 2.46451e10i | −0.252303 | − | 0.437002i | ||||
\(246\) | −3.80794e10 | −0.662952 | ||||||||
\(247\) | −3.60000e10 | + | 1.18023e9i | −0.615412 | + | 0.0201758i | ||||
\(248\) | −2.19486e10 | −0.368446 | ||||||||
\(249\) | −5.90965e10 | − | 1.02358e11i | −0.974238 | − | 1.68743i | ||||
\(250\) | 2.37665e10 | + | 4.11648e10i | 0.384800 | + | 0.666493i | ||||
\(251\) | −5.34971e8 | + | 9.26597e8i | −0.00850743 | + | 0.0147353i | −0.870248 | − | 0.492614i | \(-0.836041\pi\) |
0.861740 | + | 0.507350i | \(0.169375\pi\) | |||||||
\(252\) | −1.57209e10 | − | 2.72294e10i | −0.245569 | − | 0.425339i | ||||
\(253\) | 1.61443e10 | − | 2.79628e10i | 0.247729 | − | 0.429080i | ||||
\(254\) | −4.55417e10 | −0.686527 | ||||||||
\(255\) | −9.89931e10 | −1.46613 | ||||||||
\(256\) | −2.14748e9 | + | 3.71955e9i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 1.95260e10 | − | 3.38200e10i | 0.279199 | − | 0.483587i | −0.691987 | − | 0.721910i | \(-0.743264\pi\) |
0.971186 | + | 0.238323i | \(0.0765976\pi\) | |||||||
\(258\) | −8.77393e9 | −0.123284 | ||||||||
\(259\) | −1.45023e10 | −0.200258 | ||||||||
\(260\) | −9.13897e9 | + | 1.58292e10i | −0.124027 | + | 0.214821i | ||||
\(261\) | −2.77424e10 | − | 4.80513e10i | −0.370051 | − | 0.640947i | ||||
\(262\) | 1.23439e10 | − | 2.13803e10i | 0.161844 | − | 0.280322i | ||||
\(263\) | 1.14182e10 | + | 1.97769e10i | 0.147162 | + | 0.254892i | 0.930178 | − | 0.367110i | \(-0.119653\pi\) |
−0.783015 | + | 0.622002i | \(0.786319\pi\) | |||||||
\(264\) | 7.20516e9 | + | 1.24797e10i | 0.0912905 | + | 0.158120i | ||||
\(265\) | 1.04619e11 | 1.30318 | ||||||||
\(266\) | 1.66367e10 | − | 3.11287e10i | 0.203752 | − | 0.381236i | ||||
\(267\) | 2.43268e11 | 2.92944 | ||||||||
\(268\) | −3.09337e9 | − | 5.35787e9i | −0.0366290 | − | 0.0634432i | ||||
\(269\) | −3.49038e10 | − | 6.04552e10i | −0.406432 | − | 0.703961i | 0.588055 | − | 0.808821i | \(-0.299894\pi\) |
−0.994487 | + | 0.104860i | \(0.966561\pi\) | |||||||
\(270\) | −2.43715e10 | + | 4.22127e10i | −0.279091 | + | 0.483400i | ||||
\(271\) | 8.20367e10 | + | 1.42092e11i | 0.923946 | + | 1.60032i | 0.793248 | + | 0.608899i | \(0.208389\pi\) |
0.130698 | + | 0.991422i | \(0.458278\pi\) | |||||||
\(272\) | −1.27178e10 | + | 2.20278e10i | −0.140880 | + | 0.244012i | ||||
\(273\) | −5.57769e10 | −0.607746 | ||||||||
\(274\) | −7.07646e10 | −0.758470 | ||||||||
\(275\) | 5.32124e9 | − | 9.21667e9i | 0.0561069 | − | 0.0971800i | ||||
\(276\) | 6.02765e10 | − | 1.04402e11i | 0.625255 | − | 1.08297i | ||||
\(277\) | 1.83621e11 | 1.87397 | 0.936984 | − | 0.349372i | \(-0.113605\pi\) | ||||
0.936984 | + | 0.349372i | \(0.113605\pi\) | |||||||
\(278\) | 7.40520e10 | 0.743593 | ||||||||
\(279\) | −8.47371e10 | + | 1.46769e11i | −0.837249 | + | 1.45016i | ||||
\(280\) | −8.95535e9 | − | 1.55111e10i | −0.0870705 | − | 0.150811i | ||||
\(281\) | −8.83750e9 | + | 1.53070e10i | −0.0845573 | + | 0.146457i | −0.905202 | − | 0.424981i | \(-0.860281\pi\) |
0.820645 | + | 0.571438i | \(0.193614\pi\) | |||||||
\(282\) | −2.81015e10 | − | 4.86732e10i | −0.264611 | − | 0.458320i | ||||
\(283\) | 5.72266e10 | + | 9.91194e10i | 0.530346 | + | 0.918585i | 0.999373 | + | 0.0354019i | \(0.0112711\pi\) |
−0.469028 | + | 0.883184i | \(0.655396\pi\) | |||||||
\(284\) | 2.21091e10 | 0.201669 | ||||||||
\(285\) | −1.44811e11 | + | 4.74752e9i | −1.30017 | + | 0.0426250i | ||||
\(286\) | 1.57571e10 | 0.139261 | ||||||||
\(287\) | −2.04009e10 | − | 3.53353e10i | −0.177492 | − | 0.307426i | ||||
\(288\) | 1.65816e10 | + | 2.87202e10i | 0.142024 | + | 0.245993i | ||||
\(289\) | −1.60228e10 | + | 2.77523e10i | −0.135113 | + | 0.234023i | ||||
\(290\) | −1.58034e10 | − | 2.73722e10i | −0.131208 | − | 0.227258i | ||||
\(291\) | 5.45574e10 | − | 9.44961e10i | 0.446000 | − | 0.772495i | ||||
\(292\) | 1.06705e11 | 0.858937 | ||||||||
\(293\) | 1.97318e10 | 0.156409 | 0.0782047 | − | 0.996937i | \(-0.475081\pi\) | ||||
0.0782047 | + | 0.996937i | \(0.475081\pi\) | |||||||
\(294\) | −4.57981e10 | + | 7.93247e10i | −0.357507 | + | 0.619221i | ||||
\(295\) | −8.59412e10 | + | 1.48854e11i | −0.660697 | + | 1.14436i | ||||
\(296\) | 1.52964e10 | 0.115818 | ||||||||
\(297\) | 4.20206e10 | 0.313371 | ||||||||
\(298\) | 1.46662e10 | − | 2.54026e10i | 0.107732 | − | 0.186597i | ||||
\(299\) | −6.59100e10 | − | 1.14159e11i | −0.476904 | − | 0.826022i | ||||
\(300\) | 1.98674e10 | − | 3.44114e10i | 0.141611 | − | 0.245277i | ||||
\(301\) | −4.70059e9 | − | 8.14167e9i | −0.0330068 | − | 0.0571695i | ||||
\(302\) | −2.87291e10 | − | 4.97602e10i | −0.198742 | − | 0.344232i | ||||
\(303\) | −4.07912e11 | −2.78019 | ||||||||
\(304\) | −1.75477e10 | + | 3.28331e10i | −0.117839 | + | 0.220486i | ||||
\(305\) | 9.18207e10 | 0.607563 | ||||||||
\(306\) | 9.81993e10 | + | 1.70086e11i | 0.640268 | + | 1.10898i | ||||
\(307\) | −7.61996e10 | − | 1.31981e11i | −0.489587 | − | 0.847989i | 0.510341 | − | 0.859972i | \(-0.329519\pi\) |
−0.999928 | + | 0.0119826i | \(0.996186\pi\) | |||||||
\(308\) | −7.72026e9 | + | 1.33719e10i | −0.0488825 | + | 0.0846670i | ||||
\(309\) | 7.68025e10 | + | 1.33026e11i | 0.479250 | + | 0.830086i | ||||
\(310\) | −4.82702e10 | + | 8.36065e10i | −0.296860 | + | 0.514177i | ||||
\(311\) | −1.37792e10 | −0.0835224 | −0.0417612 | − | 0.999128i | \(-0.513297\pi\) | ||||
−0.0417612 | + | 0.999128i | \(0.513297\pi\) | |||||||
\(312\) | 5.88308e10 | 0.351487 | ||||||||
\(313\) | −1.07275e11 | + | 1.85806e11i | −0.631757 | + | 1.09424i | 0.355435 | + | 0.934701i | \(0.384333\pi\) |
−0.987192 | + | 0.159534i | \(0.949001\pi\) | |||||||
\(314\) | 2.88384e10 | − | 4.99496e10i | 0.167413 | − | 0.289967i | ||||
\(315\) | −1.38296e11 | −0.791430 | ||||||||
\(316\) | −1.00178e11 | −0.565169 | ||||||||
\(317\) | −3.08189e10 | + | 5.33798e10i | −0.171415 | + | 0.296900i | −0.938915 | − | 0.344149i | \(-0.888167\pi\) |
0.767500 | + | 0.641050i | \(0.221501\pi\) | |||||||
\(318\) | −1.68368e11 | − | 2.91621e11i | −0.923287 | − | 1.59918i | ||||
\(319\) | −1.36238e10 | + | 2.35972e10i | −0.0736616 | + | 0.127586i | ||||
\(320\) | 9.44568e9 | + | 1.63604e10i | 0.0503568 | + | 0.0872205i | ||||
\(321\) | 8.22266e10 | + | 1.42421e11i | 0.432255 | + | 0.748687i | ||||
\(322\) | 1.29171e11 | 0.669599 | ||||||||
\(323\) | −1.03920e11 | + | 1.94443e11i | −0.531237 | + | 0.993989i | ||||
\(324\) | −2.47523e9 | −0.0124785 | ||||||||
\(325\) | −2.17242e10 | − | 3.76275e10i | −0.108011 | − | 0.187081i | ||||
\(326\) | −4.28571e10 | − | 7.42307e10i | −0.210157 | − | 0.364002i | ||||
\(327\) | 7.91585e10 | − | 1.37106e11i | 0.382853 | − | 0.663122i | ||||
\(328\) | 2.15179e10 | + | 3.72700e10i | 0.102652 | + | 0.177798i | ||||
\(329\) | 3.01105e10 | − | 5.21529e10i | 0.141689 | − | 0.245413i | ||||
\(330\) | 6.33836e10 | 0.294214 | ||||||||
\(331\) | 3.26065e11 | 1.49306 | 0.746531 | − | 0.665351i | \(-0.231718\pi\) | ||||
0.746531 | + | 0.665351i | \(0.231718\pi\) | |||||||
\(332\) | −6.67884e10 | + | 1.15681e11i | −0.301703 | + | 0.522565i | ||||
\(333\) | 5.90549e10 | − | 1.02286e11i | 0.263183 | − | 0.455846i | ||||
\(334\) | 2.76043e11 | 1.21372 | ||||||||
\(335\) | −2.72122e10 | −0.118049 | ||||||||
\(336\) | −2.88244e10 | + | 4.99253e10i | −0.123377 | + | 0.213695i | ||||
\(337\) | 1.62502e11 | + | 2.81461e11i | 0.686316 | + | 1.18873i | 0.973021 | + | 0.230715i | \(0.0741064\pi\) |
−0.286706 | + | 0.958019i | \(0.592560\pi\) | |||||||
\(338\) | −5.26714e10 | + | 9.12296e10i | −0.219508 | + | 0.380199i | ||||
\(339\) | −2.19804e11 | − | 3.80711e11i | −0.903934 | − | 1.56566i | ||||
\(340\) | 5.59389e10 | + | 9.68890e10i | 0.227017 | + | 0.393205i | ||||
\(341\) | 8.32259e10 | 0.333322 | ||||||||
\(342\) | 1.51807e11 | + | 2.44100e11i | 0.600032 | + | 0.964827i | ||||
\(343\) | −2.54853e11 | −0.994182 | ||||||||
\(344\) | 4.95796e9 | + | 8.58745e9i | 0.0190893 | + | 0.0330637i | ||||
\(345\) | −2.65125e11 | − | 4.59211e11i | −1.00755 | − | 1.74512i | ||||
\(346\) | −3.12670e10 | + | 5.41559e10i | −0.117285 | + | 0.203144i | ||||
\(347\) | 2.37197e11 | + | 4.10838e11i | 0.878268 | + | 1.52120i | 0.853241 | + | 0.521518i | \(0.174634\pi\) |
0.0250272 | + | 0.999687i | \(0.492033\pi\) | |||||||
\(348\) | −5.08660e10 | + | 8.81024e10i | −0.185918 | + | 0.322019i | ||||
\(349\) | −1.24435e11 | −0.448981 | −0.224490 | − | 0.974476i | \(-0.572072\pi\) | ||||
−0.224490 | + | 0.974476i | \(0.572072\pi\) | |||||||
\(350\) | 4.25755e10 | 0.151654 | ||||||||
\(351\) | 8.57756e10 | − | 1.48568e11i | 0.301635 | − | 0.522447i | ||||
\(352\) | 8.14296e9 | − | 1.41040e10i | 0.0282710 | − | 0.0489667i | ||||
\(353\) | −4.02069e11 | −1.37821 | −0.689104 | − | 0.724663i | \(-0.741996\pi\) | ||||
−0.689104 | + | 0.724663i | \(0.741996\pi\) | |||||||
\(354\) | 5.53234e11 | 1.87238 | ||||||||
\(355\) | 4.86233e10 | − | 8.42180e10i | 0.162486 | − | 0.281435i | ||||
\(356\) | −1.37466e11 | − | 2.38098e11i | −0.453597 | − | 0.785653i | ||||
\(357\) | −1.70703e11 | + | 2.95666e11i | −0.556204 | + | 0.963373i | ||||
\(358\) | −1.30843e11 | − | 2.26626e11i | −0.420994 | − | 0.729183i | ||||
\(359\) | −1.70106e11 | − | 2.94632e11i | −0.540499 | − | 0.936172i | −0.998875 | − | 0.0474135i | \(-0.984902\pi\) |
0.458376 | − | 0.888758i | \(-0.348431\pi\) | |||||||
\(360\) | 1.45868e11 | 0.457720 | ||||||||
\(361\) | −1.42694e11 | + | 2.89423e11i | −0.442203 | + | 0.896915i | ||||
\(362\) | −4.18298e11 | −1.28026 | ||||||||
\(363\) | 2.39737e11 | + | 4.15236e11i | 0.724694 | + | 1.25521i | ||||
\(364\) | 3.15183e10 | + | 5.45913e10i | 0.0941038 | + | 0.162992i | ||||
\(365\) | 2.34670e11 | − | 4.06460e11i | 0.692054 | − | 1.19867i | ||||
\(366\) | −1.47771e11 | − | 2.55946e11i | −0.430451 | − | 0.745563i | ||||
\(367\) | 1.44455e11 | − | 2.50203e11i | 0.415657 | − | 0.719939i | −0.579840 | − | 0.814730i | \(-0.696885\pi\) |
0.995497 | + | 0.0947912i | \(0.0302184\pi\) | |||||||
\(368\) | −1.36244e11 | −0.387259 | ||||||||
\(369\) | 3.32297e11 | 0.933057 | ||||||||
\(370\) | 3.36404e10 | − | 5.82670e10i | 0.0933155 | − | 0.161627i | ||||
\(371\) | 1.80404e11 | − | 3.12470e11i | 0.494384 | − | 0.856299i | ||||
\(372\) | 3.10733e11 | 0.841286 | ||||||||
\(373\) | 2.84395e11 | 0.760734 | 0.380367 | − | 0.924836i | \(-0.375798\pi\) | ||||
0.380367 | + | 0.924836i | \(0.375798\pi\) | |||||||
\(374\) | 4.82240e10 | − | 8.35264e10i | 0.127450 | − | 0.220750i | ||||
\(375\) | −3.36470e11 | − | 5.82782e11i | −0.878628 | − | 1.52183i | ||||
\(376\) | −3.17591e10 | + | 5.50084e10i | −0.0819452 | + | 0.141933i | ||||
\(377\) | 5.56199e10 | + | 9.63366e10i | 0.141806 | + | 0.245615i | ||||
\(378\) | 8.40522e10 | + | 1.45583e11i | 0.211756 | + | 0.366772i | ||||
\(379\) | −1.65261e11 | −0.411428 | −0.205714 | − | 0.978612i | \(-0.565952\pi\) | ||||
−0.205714 | + | 0.978612i | \(0.565952\pi\) | |||||||
\(380\) | 8.64763e10 | + | 1.39051e11i | 0.212751 | + | 0.342095i | ||||
\(381\) | 6.44748e11 | 1.56757 | ||||||||
\(382\) | −2.41550e11 | − | 4.18377e11i | −0.580393 | − | 1.00527i | ||||
\(383\) | 4.58399e10 | + | 7.93970e10i | 0.108855 | + | 0.188543i | 0.915307 | − | 0.402757i | \(-0.131948\pi\) |
−0.806452 | + | 0.591300i | \(0.798615\pi\) | |||||||
\(384\) | 3.04026e10 | − | 5.26589e10i | 0.0713543 | − | 0.123589i | ||||
\(385\) | 3.39574e10 | + | 5.88160e10i | 0.0787702 | + | 0.136434i | ||||
\(386\) | −6.04532e10 | + | 1.04708e11i | −0.138604 | + | 0.240070i | ||||
\(387\) | 7.65651e10 | 0.173513 | ||||||||
\(388\) | −1.23317e11 | −0.276236 | ||||||||
\(389\) | 1.57370e11 | − | 2.72573e11i | 0.348457 | − | 0.603546i | −0.637518 | − | 0.770435i | \(-0.720039\pi\) |
0.985976 | + | 0.166889i | \(0.0533722\pi\) | |||||||
\(390\) | 1.29383e11 | − | 2.24098e11i | 0.283196 | − | 0.490510i | ||||
\(391\) | −8.06859e11 | −1.74583 | ||||||||
\(392\) | 1.03518e11 | 0.221427 | ||||||||
\(393\) | −1.74757e11 | + | 3.02687e11i | −0.369545 | + | 0.640071i | ||||
\(394\) | −2.91651e11 | − | 5.05154e11i | −0.609720 | − | 1.05607i | ||||
\(395\) | −2.20315e11 | + | 3.81596e11i | −0.455362 | + | 0.788710i | ||||
\(396\) | −6.28753e10 | − | 1.08903e11i | −0.128485 | − | 0.222542i | ||||
\(397\) | 2.48079e11 | + | 4.29685e11i | 0.501225 | + | 0.868147i | 0.999999 | + | 0.00141482i | \(0.000450352\pi\) |
−0.498774 | + | 0.866732i | \(0.666216\pi\) | |||||||
\(398\) | −1.36596e11 | −0.272874 | ||||||||
\(399\) | −2.35532e11 | + | 4.40699e11i | −0.465234 | + | 0.870491i | ||||
\(400\) | −4.49066e10 | −0.0877083 | ||||||||
\(401\) | −2.31570e11 | − | 4.01091e11i | −0.447232 | − | 0.774628i | 0.550973 | − | 0.834523i | \(-0.314257\pi\) |
−0.998205 | + | 0.0598951i | \(0.980923\pi\) | |||||||
\(402\) | 4.37937e10 | + | 7.58530e10i | 0.0836363 | + | 0.144862i | ||||
\(403\) | 1.69887e11 | − | 2.94253e11i | 0.320839 | − | 0.555710i | ||||
\(404\) | 2.30502e11 | + | 3.99242e11i | 0.430486 | + | 0.745624i | ||||
\(405\) | −5.44362e9 | + | 9.42863e9i | −0.0100540 | + | 0.0174141i | ||||
\(406\) | −1.09005e11 | −0.199103 | ||||||||
\(407\) | −5.80017e10 | −0.104777 | ||||||||
\(408\) | 1.80049e11 | − | 3.11855e11i | 0.321678 | − | 0.557162i | ||||
\(409\) | 2.20922e11 | − | 3.82648e11i | 0.390377 | − | 0.676153i | −0.602122 | − | 0.798404i | \(-0.705678\pi\) |
0.992499 | + | 0.122251i | \(0.0390113\pi\) | |||||||
\(410\) | 1.89292e11 | 0.330830 | ||||||||
\(411\) | 1.00184e12 | 1.73184 | ||||||||
\(412\) | 8.67990e10 | − | 1.50340e11i | 0.148415 | − | 0.257062i | ||||
\(413\) | 2.96393e11 | + | 5.13367e11i | 0.501294 | + | 0.868266i | ||||
\(414\) | −5.25999e11 | + | 9.11057e11i | −0.880001 | + | 1.52421i | ||||
\(415\) | 2.93768e11 | + | 5.08821e11i | 0.486170 | + | 0.842071i | ||||
\(416\) | −3.32440e10 | − | 5.75804e10i | −0.0544244 | − | 0.0942659i | ||||
\(417\) | −1.04838e12 | −1.69787 | ||||||||
\(418\) | 6.65383e10 | − | 1.24499e11i | 0.106605 | − | 0.199467i | ||||
\(419\) | 9.61230e11 | 1.52358 | 0.761788 | − | 0.647826i | \(-0.224322\pi\) | ||||
0.761788 | + | 0.647826i | \(0.224322\pi\) | |||||||
\(420\) | 1.26784e11 | + | 2.19596e11i | 0.198811 | + | 0.344352i | ||||
\(421\) | −2.49718e11 | − | 4.32525e11i | −0.387419 | − | 0.671030i | 0.604682 | − | 0.796467i | \(-0.293300\pi\) |
−0.992102 | + | 0.125437i | \(0.959967\pi\) | |||||||
\(422\) | −2.90282e11 | + | 5.02783e11i | −0.445568 | + | 0.771747i | ||||
\(423\) | 2.45226e11 | + | 4.24744e11i | 0.372421 | + | 0.645053i | ||||
\(424\) | −1.90282e11 | + | 3.29578e11i | −0.285925 | + | 0.495236i | ||||
\(425\) | −2.65945e11 | −0.395404 | ||||||||
\(426\) | −3.13006e11 | −0.460478 | ||||||||
\(427\) | 1.58335e11 | − | 2.74244e11i | 0.230490 | − | 0.399220i | ||||
\(428\) | 9.29290e10 | − | 1.60958e11i | 0.133861 | − | 0.231854i | ||||
\(429\) | −2.23078e11 | −0.317980 | ||||||||
\(430\) | 4.36151e10 | 0.0615217 | ||||||||
\(431\) | 4.42771e11 | − | 7.66902e11i | 0.618061 | − | 1.07051i | −0.371778 | − | 0.928322i | \(-0.621252\pi\) |
0.989839 | − | 0.142192i | \(-0.0454151\pi\) | |||||||
\(432\) | −8.86543e10 | − | 1.53554e11i | −0.122468 | − | 0.212121i | ||||
\(433\) | −3.66800e11 | + | 6.35317e11i | −0.501458 | + | 0.868550i | 0.498541 | + | 0.866866i | \(0.333869\pi\) |
−0.999999 | + | 0.00168384i | \(0.999464\pi\) | |||||||
\(434\) | 1.66474e11 | + | 2.88341e11i | 0.225238 | + | 0.390124i | ||||
\(435\) | 2.23733e11 | + | 3.87517e11i | 0.299591 | + | 0.518907i | ||||
\(436\) | −1.78923e11 | −0.237125 | ||||||||
\(437\) | −1.18031e12 | + | 3.86954e10i | −1.54821 | + | 0.0507567i | ||||
\(438\) | −1.51065e12 | −1.96124 | ||||||||
\(439\) | 3.70198e11 | + | 6.41201e11i | 0.475711 | + | 0.823956i | 0.999613 | − | 0.0278230i | \(-0.00885748\pi\) |
−0.523902 | + | 0.851779i | \(0.675524\pi\) | |||||||
\(440\) | −3.58167e10 | − | 6.20364e10i | −0.0455563 | − | 0.0789059i | ||||
\(441\) | 3.99654e11 | − | 6.92222e11i | 0.503166 | − | 0.871508i | ||||
\(442\) | −1.96877e11 | − | 3.41001e11i | −0.245355 | − | 0.424967i | ||||
\(443\) | 6.59016e11 | − | 1.14145e12i | 0.812979 | − | 1.40812i | −0.0977908 | − | 0.995207i | \(-0.531178\pi\) |
0.910770 | − | 0.412914i | \(-0.135489\pi\) | |||||||
\(444\) | −2.16556e11 | −0.264451 | ||||||||
\(445\) | −1.20928e12 | −1.46187 | ||||||||
\(446\) | −2.79054e11 | + | 4.83336e11i | −0.333950 | + | 0.578418i | ||||
\(447\) | −2.07634e11 | + | 3.59633e11i | −0.245989 | + | 0.426065i | ||||
\(448\) | 6.51522e10 | 0.0764149 | ||||||||
\(449\) | 2.70023e11 | 0.313540 | 0.156770 | − | 0.987635i | \(-0.449892\pi\) | ||||
0.156770 | + | 0.987635i | \(0.449892\pi\) | |||||||
\(450\) | −1.73372e11 | + | 3.00289e11i | −0.199307 | + | 0.345209i | ||||
\(451\) | −8.15928e10 | − | 1.41323e11i | −0.0928661 | − | 0.160849i | ||||
\(452\) | −2.48413e11 | + | 4.30264e11i | −0.279931 | + | 0.484855i | ||||
\(453\) | 4.06727e11 | + | 7.04471e11i | 0.453796 | + | 0.785998i | ||||
\(454\) | 5.21484e11 | + | 9.03237e11i | 0.576089 | + | 0.997816i | ||||
\(455\) | 2.77266e11 | 0.303281 | ||||||||
\(456\) | 2.48428e11 | − | 4.64829e11i | 0.269066 | − | 0.503444i | ||||
\(457\) | −1.09307e12 | −1.17226 | −0.586131 | − | 0.810216i | \(-0.699350\pi\) | ||||
−0.586131 | + | 0.810216i | \(0.699350\pi\) | |||||||
\(458\) | 2.49413e11 | + | 4.31996e11i | 0.264865 | + | 0.458760i | ||||
\(459\) | −5.25025e11 | − | 9.09371e11i | −0.552107 | − | 0.956277i | ||||
\(460\) | −2.99633e11 | + | 5.18980e11i | −0.312018 | + | 0.540431i | ||||
\(461\) | 2.65163e11 | + | 4.59276e11i | 0.273438 | + | 0.473609i | 0.969740 | − | 0.244140i | \(-0.0785058\pi\) |
−0.696302 | + | 0.717749i | \(0.745172\pi\) | |||||||
\(462\) | 1.09298e11 | − | 1.89310e11i | 0.111615 | − | 0.193323i | ||||
\(463\) | 1.15718e12 | 1.17027 | 0.585133 | − | 0.810937i | \(-0.301042\pi\) | ||||
0.585133 | + | 0.810937i | \(0.301042\pi\) | |||||||
\(464\) | 1.14973e11 | 0.115150 | ||||||||
\(465\) | 6.83377e11 | − | 1.18364e12i | 0.677832 | − | 1.17404i | ||||
\(466\) | 6.26723e11 | − | 1.08552e12i | 0.615657 | − | 1.06635i | ||||
\(467\) | 1.14045e12 | 1.10956 | 0.554782 | − | 0.831996i | \(-0.312802\pi\) | ||||
0.554782 | + | 0.831996i | \(0.312802\pi\) | |||||||
\(468\) | −5.13383e11 | −0.494692 | ||||||||
\(469\) | −4.69246e10 | + | 8.12758e10i | −0.0447840 | + | 0.0775681i | ||||
\(470\) | 1.39692e11 | + | 2.41954e11i | 0.132048 | + | 0.228714i | ||||
\(471\) | −4.08275e11 | + | 7.07152e11i | −0.382259 | + | 0.662093i | ||||
\(472\) | −3.12621e11 | − | 5.41475e11i | −0.289921 | − | 0.502157i | ||||
\(473\) | −1.87999e10 | − | 3.25624e10i | −0.0172695 | − | 0.0299117i | ||||
\(474\) | 1.41825e12 | 1.29047 | ||||||||
\(475\) | −3.89035e11 | + | 1.27542e10i | −0.350645 | + | 0.0114956i | ||||
\(476\) | 3.85842e11 | 0.344492 | ||||||||
\(477\) | 1.46925e12 | + | 2.54482e12i | 1.29946 | + | 2.25073i | ||||
\(478\) | 8.01834e10 | + | 1.38882e11i | 0.0702521 | + | 0.121680i | ||||
\(479\) | 2.31632e11 | − | 4.01199e11i | 0.201043 | − | 0.348217i | −0.747822 | − | 0.663900i | \(-0.768900\pi\) |
0.948865 | + | 0.315683i | \(0.102233\pi\) | |||||||
\(480\) | −1.33725e11 | − | 2.31619e11i | −0.114982 | − | 0.199154i | ||||
\(481\) | −1.18397e11 | + | 2.05070e11i | −0.100853 | + | 0.174683i | ||||
\(482\) | 5.68705e11 | 0.479928 | ||||||||
\(483\) | −1.82872e12 | −1.52892 | ||||||||
\(484\) | 2.70940e11 | − | 4.69282e11i | 0.224424 | − | 0.388714i | ||||
\(485\) | −2.71204e11 | + | 4.69739e11i | −0.222565 | + | 0.385495i | ||||
\(486\) | 8.87084e11 | 0.721276 | ||||||||
\(487\) | −1.66700e12 | −1.34294 | −0.671469 | − | 0.741033i | \(-0.734336\pi\) | ||||
−0.671469 | + | 0.741033i | \(0.734336\pi\) | |||||||
\(488\) | −1.67004e11 | + | 2.89260e11i | −0.133302 | + | 0.230887i | ||||
\(489\) | 6.06741e11 | + | 1.05091e12i | 0.479859 | + | 0.831140i | ||||
\(490\) | 2.27662e11 | − | 3.94322e11i | 0.178405 | − | 0.309007i | ||||
\(491\) | 7.75299e11 | + | 1.34286e12i | 0.602008 | + | 1.04271i | 0.992517 | + | 0.122109i | \(0.0389659\pi\) |
−0.390509 | + | 0.920599i | \(0.627701\pi\) | |||||||
\(492\) | −3.04635e11 | − | 5.27644e11i | −0.234389 | − | 0.405973i | ||||
\(493\) | 6.80890e11 | 0.519118 | ||||||||
\(494\) | −3.04353e11 | − | 4.89388e11i | −0.229936 | − | 0.369728i | ||||
\(495\) | −5.53112e11 | −0.414085 | ||||||||
\(496\) | −1.75588e11 | − | 3.04128e11i | −0.130265 | − | 0.225626i | ||||
\(497\) | −1.67691e11 | − | 2.90450e11i | −0.123284 | − | 0.213534i | ||||
\(498\) | 9.45545e11 | − | 1.63773e12i | 0.688890 | − | 1.19319i | ||||
\(499\) | −2.59754e11 | − | 4.49906e11i | −0.187547 | − | 0.324840i | 0.756885 | − | 0.653548i | \(-0.226720\pi\) |
−0.944432 | + | 0.328708i | \(0.893387\pi\) | |||||||
\(500\) | −3.80264e11 | + | 6.58636e11i | −0.272095 | + | 0.471282i | ||||
\(501\) | −3.90803e12 | −2.77133 | ||||||||
\(502\) | −1.71191e10 | −0.0120313 | ||||||||
\(503\) | 1.04432e12 | − | 1.80881e12i | 0.727406 | − | 1.25990i | −0.230571 | − | 0.973056i | \(-0.574059\pi\) |
0.957976 | − | 0.286848i | \(-0.0926074\pi\) | |||||||
\(504\) | 2.51534e11 | − | 4.35670e11i | 0.173644 | − | 0.300760i | ||||
\(505\) | 2.02772e12 | 1.38739 | ||||||||
\(506\) | 5.16618e11 | 0.350342 | ||||||||
\(507\) | 7.45686e11 | − | 1.29157e12i | 0.501210 | − | 0.868122i | ||||
\(508\) | −3.64333e11 | − | 6.31044e11i | −0.242724 | − | 0.420410i | ||||
\(509\) | 3.77526e11 | − | 6.53894e11i | 0.249297 | − | 0.431795i | −0.714034 | − | 0.700111i | \(-0.753134\pi\) |
0.963331 | + | 0.268316i | \(0.0864672\pi\) | |||||||
\(510\) | −7.91944e11 | − | 1.37169e12i | −0.518357 | − | 0.897821i | ||||
\(511\) | −8.09326e11 | − | 1.40179e12i | −0.525085 | − | 0.909474i | ||||
\(512\) | −6.87195e10 | −0.0441942 | ||||||||
\(513\) | −8.11641e11 | − | 1.30509e12i | −0.517411 | − | 0.831976i | ||||
\(514\) | 6.24832e11 | 0.394847 | ||||||||
\(515\) | −3.81784e11 | − | 6.61269e11i | −0.239158 | − | 0.414234i | ||||
\(516\) | −7.01915e10 | − | 1.21575e11i | −0.0435874 | − | 0.0754955i | ||||
\(517\) | 1.20426e11 | − | 2.08584e11i | 0.0741334 | − | 0.128403i | ||||
\(518\) | −1.16019e11 | − | 2.00950e11i | −0.0708017 | − | 0.122632i | ||||
\(519\) | 4.42656e11 | − | 7.66703e11i | 0.267802 | − | 0.463846i | ||||
\(520\) | −2.92447e11 | −0.175401 | ||||||||
\(521\) | 1.00399e12 | 0.596978 | 0.298489 | − | 0.954413i | \(-0.403517\pi\) | ||||
0.298489 | + | 0.954413i | \(0.403517\pi\) | |||||||
\(522\) | 4.43878e11 | − | 7.68820e11i | 0.261666 | − | 0.453218i | ||||
\(523\) | −1.13662e12 | + | 1.96868e12i | −0.664288 | + | 1.15058i | 0.315190 | + | 0.949028i | \(0.397932\pi\) |
−0.979478 | + | 0.201551i | \(0.935402\pi\) | |||||||
\(524\) | 3.95005e11 | 0.228882 | ||||||||
\(525\) | −6.02755e11 | −0.346277 | ||||||||
\(526\) | −1.82691e11 | + | 3.16430e11i | −0.104059 | + | 0.180236i | ||||
\(527\) | −1.03986e12 | − | 1.80110e12i | −0.587258 | − | 1.01716i | ||||
\(528\) | −1.15282e11 | + | 1.99675e11i | −0.0645521 | + | 0.111808i | ||||
\(529\) | −1.26037e12 | − | 2.18303e12i | −0.699758 | − | 1.21202i | ||||
\(530\) | 8.36953e11 | + | 1.44965e12i | 0.460744 | + | 0.798032i | ||||
\(531\) | −4.82776e12 | −2.63524 | ||||||||
\(532\) | 5.64426e11 | − | 1.85043e10i | 0.305495 | − | 0.0100154i | ||||
\(533\) | −6.66213e11 | −0.357553 | ||||||||
\(534\) | 1.94615e12 | + | 3.37083e12i | 1.03571 | + | 1.79391i | ||||
\(535\) | −4.08747e11 | − | 7.07971e11i | −0.215706 | − | 0.373614i | ||||
\(536\) | 4.94938e10 | − | 8.57259e10i | 0.0259006 | − | 0.0448611i | ||||
\(537\) | 1.85238e12 | + | 3.20842e12i | 0.961272 | + | 1.66497i | ||||
\(538\) | 5.58461e11 | − | 9.67284e11i | 0.287391 | − | 0.497776i | ||||
\(539\) | −3.92527e11 | −0.200318 | ||||||||
\(540\) | −7.79889e11 | −0.394694 | ||||||||
\(541\) | 1.89637e12 | − | 3.28462e12i | 0.951779 | − | 1.64853i | 0.210208 | − | 0.977657i | \(-0.432586\pi\) |
0.741572 | − | 0.670874i | \(-0.234081\pi\) | |||||||
\(542\) | −1.31259e12 | + | 2.27347e12i | −0.653328 | + | 1.13160i | ||||
\(543\) | 5.92198e12 | 2.92326 | ||||||||
\(544\) | −4.06968e11 | −0.199235 | ||||||||
\(545\) | −3.93495e11 | + | 6.81554e11i | −0.191054 | + | 0.330915i | ||||
\(546\) | −4.46215e11 | − | 7.72867e11i | −0.214871 | − | 0.372167i | ||||
\(547\) | 7.57142e11 | − | 1.31141e12i | 0.361605 | − | 0.626318i | −0.626620 | − | 0.779325i | \(-0.715562\pi\) |
0.988225 | + | 0.153007i | \(0.0488956\pi\) | |||||||
\(548\) | −5.66117e11 | − | 9.80543e11i | −0.268160 | − | 0.464466i | ||||
\(549\) | 1.28951e12 | + | 2.23350e12i | 0.605828 | + | 1.04933i | ||||
\(550\) | 1.70280e11 | 0.0793471 | ||||||||
\(551\) | 9.96035e11 | − | 3.26542e10i | 0.460354 | − | 0.0150923i | ||||
\(552\) | 1.92885e12 | 0.884244 | ||||||||
\(553\) | 7.59818e11 | + | 1.31604e12i | 0.345499 | + | 0.598422i | ||||
\(554\) | 1.46896e12 | + | 2.54432e12i | 0.662548 | + | 1.14757i | ||||
\(555\) | −4.76258e11 | + | 8.24904e11i | −0.213071 | + | 0.369050i | ||||
\(556\) | 5.92416e11 | + | 1.02609e12i | 0.262900 | + | 0.455356i | ||||
\(557\) | −1.39689e12 | + | 2.41949e12i | −0.614914 | + | 1.06506i | 0.375485 | + | 0.926828i | \(0.377476\pi\) |
−0.990400 | + | 0.138234i | \(0.955857\pi\) | |||||||
\(558\) | −2.71159e12 | −1.18405 | ||||||||
\(559\) | −1.53503e11 | −0.0664912 | ||||||||
\(560\) | 1.43286e11 | − | 2.48178e11i | 0.0615682 | − | 0.106639i | ||||
\(561\) | −6.82722e11 | + | 1.18251e12i | −0.291012 | + | 0.504048i | ||||
\(562\) | −2.82800e11 | −0.119582 | ||||||||
\(563\) | −1.96907e12 | −0.825986 | −0.412993 | − | 0.910734i | \(-0.635517\pi\) | ||||
−0.412993 | + | 0.910734i | \(0.635517\pi\) | |||||||
\(564\) | 4.49624e11 | − | 7.78772e11i | 0.187109 | − | 0.324081i | ||||
\(565\) | 1.09264e12 | + | 1.89251e12i | 0.451086 | + | 0.781304i | ||||
\(566\) | −9.15625e11 | + | 1.58591e12i | −0.375011 | + | 0.649538i | ||||
\(567\) | 1.87739e10 | + | 3.25173e10i | 0.00762835 | + | 0.0132127i | ||||
\(568\) | 1.76873e11 | + | 3.06353e11i | 0.0713007 | + | 0.123496i | ||||
\(569\) | −1.80423e12 | −0.721582 | −0.360791 | − | 0.932647i | \(-0.617493\pi\) | ||||
−0.360791 | + | 0.932647i | \(0.617493\pi\) | |||||||
\(570\) | −1.22427e12 | − | 1.96858e12i | −0.485782 | − | 0.781118i | ||||
\(571\) | −2.41198e12 | −0.949536 | −0.474768 | − | 0.880111i | \(-0.657468\pi\) | ||||
−0.474768 | + | 0.880111i | \(0.657468\pi\) | |||||||
\(572\) | 1.26057e11 | + | 2.18337e11i | 0.0492362 | + | 0.0852796i | ||||
\(573\) | 3.41970e12 | + | 5.92309e12i | 1.32523 | + | 2.29537i | ||||
\(574\) | 3.26414e11 | − | 5.65365e11i | 0.125506 | − | 0.217383i | ||||
\(575\) | −7.12259e11 | − | 1.23367e12i | −0.271727 | − | 0.470645i | ||||
\(576\) | −2.65306e11 | + | 4.59524e11i | −0.100426 | + | 0.173943i | ||||
\(577\) | −4.84113e12 | −1.81826 | −0.909129 | − | 0.416515i | \(-0.863251\pi\) | ||||
−0.909129 | + | 0.416515i | \(0.863251\pi\) | |||||||
\(578\) | −5.12729e11 | −0.191079 | ||||||||
\(579\) | 8.55855e11 | − | 1.48238e12i | 0.316480 | − | 0.548160i | ||||
\(580\) | 2.52854e11 | − | 4.37956e11i | 0.0927777 | − | 0.160696i | ||||
\(581\) | 2.02628e12 | 0.737748 | ||||||||
\(582\) | 1.74584e12 | 0.630739 | ||||||||
\(583\) | 7.21524e11 | − | 1.24972e12i | 0.258668 | − | 0.448025i | ||||
\(584\) | 8.53639e11 | + | 1.47855e12i | 0.303680 | + | 0.525990i | ||||
\(585\) | −1.12905e12 | + | 1.95558e12i | −0.398578 | + | 0.690357i | ||||
\(586\) | 1.57855e11 | + | 2.73412e11i | 0.0552991 | + | 0.0957808i | ||||
\(587\) | 6.93533e11 | + | 1.20123e12i | 0.241099 | + | 0.417596i | 0.961028 | − | 0.276452i | \(-0.0891588\pi\) |
−0.719928 | + | 0.694048i | \(0.755825\pi\) | |||||||
\(588\) | −1.46554e12 | −0.505592 | ||||||||
\(589\) | −1.60753e12 | − | 2.58485e12i | −0.550353 | − | 0.884946i | ||||
\(590\) | −2.75012e12 | −0.934366 | ||||||||
\(591\) | 4.12899e12 | + | 7.15163e12i | 1.39220 | + | 2.41136i | ||||
\(592\) | 1.22371e11 | + | 2.11953e11i | 0.0409478 | + | 0.0709237i | ||||
\(593\) | 4.49264e11 | − | 7.78148e11i | 0.149195 | − | 0.258414i | −0.781735 | − | 0.623611i | \(-0.785665\pi\) |
0.930930 | + | 0.365197i | \(0.118998\pi\) | |||||||
\(594\) | 3.36165e11 | + | 5.82254e11i | 0.110793 | + | 0.191899i | ||||
\(595\) | 8.48561e11 | − | 1.46975e12i | 0.277560 | − | 0.480748i | ||||
\(596\) | 4.69319e11 | 0.152356 | ||||||||
\(597\) | 1.93383e12 | 0.623065 | ||||||||
\(598\) | 1.05456e12 | − | 1.82655e12i | 0.337222 | − | 0.584085i | ||||
\(599\) | 7.86254e11 | − | 1.36183e12i | 0.249541 | − | 0.432218i | −0.713857 | − | 0.700291i | \(-0.753054\pi\) |
0.963399 | + | 0.268073i | \(0.0863869\pi\) | |||||||
\(600\) | 6.35758e11 | 0.200268 | ||||||||
\(601\) | −1.80603e12 | −0.564663 | −0.282332 | − | 0.959317i | \(-0.591108\pi\) | ||||
−0.282332 | + | 0.959317i | \(0.591108\pi\) | |||||||
\(602\) | 7.52095e10 | − | 1.30267e11i | 0.0233393 | − | 0.0404249i | ||||
\(603\) | −3.82163e11 | − | 6.61926e11i | −0.117712 | − | 0.203883i | ||||
\(604\) | 4.59665e11 | − | 7.96164e11i | 0.140532 | − | 0.243409i | ||||
\(605\) | −1.19173e12 | − | 2.06413e12i | −0.361641 | − | 0.626381i | ||||
\(606\) | −3.26330e12 | − | 5.65219e12i | −0.982946 | − | 1.70251i | ||||
\(607\) | −1.60553e11 | −0.0480030 | −0.0240015 | − | 0.999712i | \(-0.507641\pi\) | ||||
−0.0240015 | + | 0.999712i | \(0.507641\pi\) | |||||||
\(608\) | −5.95330e11 | + | 1.95174e10i | −0.176682 | + | 0.00579237i | ||||
\(609\) | 1.54322e12 | 0.454620 | ||||||||
\(610\) | 7.34566e11 | + | 1.27231e12i | 0.214806 | + | 0.372055i | ||||
\(611\) | −4.91646e11 | − | 8.51556e11i | −0.142714 | − | 0.247188i | ||||
\(612\) | −1.57119e12 | + | 2.72138e12i | −0.452738 | + | 0.784165i | ||||
\(613\) | −2.68395e12 | − | 4.64873e12i | −0.767718 | − | 1.32973i | −0.938797 | − | 0.344470i | \(-0.888059\pi\) |
0.171079 | − | 0.985257i | \(-0.445275\pi\) | |||||||
\(614\) | 1.21919e12 | − | 2.11170e12i | 0.346190 | − | 0.599619i | ||||
\(615\) | −2.67987e12 | −0.755397 | ||||||||
\(616\) | −2.47048e11 | −0.0691303 | ||||||||
\(617\) | −1.00241e12 | + | 1.73623e12i | −0.278461 | + | 0.482308i | −0.971002 | − | 0.239070i | \(-0.923158\pi\) |
0.692542 | + | 0.721378i | \(0.256491\pi\) | |||||||
\(618\) | −1.22884e12 | + | 2.12841e12i | −0.338881 | + | 0.586959i | ||||
\(619\) | −8.66768e11 | −0.237298 | −0.118649 | − | 0.992936i | \(-0.537856\pi\) | ||||
−0.118649 | + | 0.992936i | \(0.537856\pi\) | |||||||
\(620\) | −1.54465e12 | −0.419823 | ||||||||
\(621\) | 2.81227e12 | − | 4.87099e12i | 0.758830 | − | 1.31433i | ||||
\(622\) | −1.10234e11 | − | 1.90931e11i | −0.0295296 | − | 0.0511468i | ||||
\(623\) | −2.08528e12 | + | 3.61181e12i | −0.554585 | + | 0.960569i | ||||
\(624\) | 4.70646e11 | + | 8.15184e11i | 0.124269 | + | 0.215241i | ||||
\(625\) | 1.00342e12 | + | 1.73798e12i | 0.263041 | + | 0.455601i | ||||
\(626\) | −3.43281e12 | −0.893439 | ||||||||
\(627\) | −9.42004e11 | + | 1.76257e12i | −0.243416 | + | 0.455451i | ||||
\(628\) | 9.22829e11 | 0.236757 | ||||||||
\(629\) | 7.24702e11 | + | 1.25522e12i | 0.184600 | + | 0.319736i | ||||
\(630\) | −1.10637e12 | − | 1.91629e12i | −0.279813 | − | 0.484650i | ||||
\(631\) | 8.15946e11 | − | 1.41326e12i | 0.204894 | − | 0.354887i | −0.745205 | − | 0.666836i | \(-0.767648\pi\) |
0.950099 | + | 0.311949i | \(0.100982\pi\) | |||||||
\(632\) | −8.01420e11 | − | 1.38810e12i | −0.199818 | − | 0.346094i | ||||
\(633\) | 4.10962e12 | − | 7.11806e12i | 1.01738 | − | 1.76216i | ||||
\(634\) | −9.86203e11 | −0.242418 | ||||||||
\(635\) | −3.20503e12 | −0.782259 | ||||||||
\(636\) | 2.69388e12 | − | 4.66594e12i | 0.652863 | − | 1.13079i | ||||
\(637\) | −8.01255e11 | + | 1.38782e12i | −0.192816 | + | 0.333967i | ||||
\(638\) | −4.35962e11 | −0.104173 | ||||||||
\(639\) | 2.73142e12 | 0.648090 | ||||||||
\(640\) | −1.51131e11 | + | 2.61766e11i | −0.0356076 | + | 0.0616742i | ||||
\(641\) | −2.24054e12 | − | 3.88073e12i | −0.524194 | − | 0.907930i | −0.999603 | − | 0.0281656i | \(-0.991033\pi\) |
0.475409 | − | 0.879765i | \(-0.342300\pi\) | |||||||
\(642\) | −1.31563e12 | + | 2.27873e12i | −0.305650 | + | 0.529402i | ||||
\(643\) | 2.47738e12 | + | 4.29095e12i | 0.571536 | + | 0.989930i | 0.996408 | + | 0.0846766i | \(0.0269857\pi\) |
−0.424872 | + | 0.905253i | \(0.639681\pi\) | |||||||
\(644\) | 1.03337e12 | + | 1.78985e12i | 0.236739 | + | 0.410044i | ||||
\(645\) | −6.17472e11 | −0.140475 | ||||||||
\(646\) | −3.52565e12 | + | 1.15585e11i | −0.796512 | + | 0.0261130i | ||||
\(647\) | 5.46260e12 | 1.22555 | 0.612774 | − | 0.790258i | \(-0.290054\pi\) | ||||
0.612774 | + | 0.790258i | \(0.290054\pi\) | |||||||
\(648\) | −1.98018e10 | − | 3.42977e10i | −0.00441182 | − | 0.00764149i | ||||
\(649\) | 1.18542e12 | + | 2.05320e12i | 0.262283 | + | 0.454287i | ||||
\(650\) | 3.47588e11 | − | 6.02040e11i | 0.0763756 | − | 0.132286i | ||||
\(651\) | −2.35682e12 | − | 4.08213e12i | −0.514294 | − | 0.890784i | ||||
\(652\) | 6.85713e11 | − | 1.18769e12i | 0.148603 | − | 0.257388i | ||||
\(653\) | 1.56051e12 | 0.335858 | 0.167929 | − | 0.985799i | \(-0.446292\pi\) | ||||
0.167929 | + | 0.985799i | \(0.446292\pi\) | |||||||
\(654\) | 2.53307e12 | 0.541436 | ||||||||
\(655\) | 8.68712e11 | − | 1.50465e12i | 0.184412 | − | 0.319412i | ||||
\(656\) | −3.44286e11 | + | 5.96320e11i | −0.0725858 | + | 0.125722i | ||||
\(657\) | 1.31826e13 | 2.76031 | ||||||||
\(658\) | 9.63536e11 | 0.200379 | ||||||||
\(659\) | −9.49012e11 | + | 1.64374e12i | −0.196014 | + | 0.339506i | −0.947233 | − | 0.320547i | \(-0.896133\pi\) |
0.751218 | + | 0.660054i | \(0.229467\pi\) | |||||||
\(660\) | 5.07068e11 | + | 8.78268e11i | 0.104020 | + | 0.180169i | ||||
\(661\) | −1.61799e12 | + | 2.80244e12i | −0.329663 | + | 0.570992i | −0.982445 | − | 0.186553i | \(-0.940268\pi\) |
0.652782 | + | 0.757546i | \(0.273602\pi\) | |||||||
\(662\) | 2.60852e12 | + | 4.51808e12i | 0.527877 | + | 0.914310i | ||||
\(663\) | 2.78725e12 | + | 4.82765e12i | 0.560228 | + | 0.970343i | ||||
\(664\) | −2.13723e12 | −0.426673 | ||||||||
\(665\) | 1.17082e12 | − | 2.19071e12i | 0.232164 | − | 0.434397i | ||||
\(666\) | 1.88976e12 | 0.372196 | ||||||||
\(667\) | 1.82357e12 | + | 3.15852e12i | 0.356745 | + | 0.617900i | ||||
\(668\) | 2.20835e12 | + | 3.82497e12i | 0.429114 | + | 0.743248i | ||||
\(669\) | 3.95066e12 | − | 6.84274e12i | 0.762521 | − | 1.32072i | ||||
\(670\) | −2.17698e11 | − | 3.77064e11i | −0.0417367 | − | 0.0722900i | ||||
\(671\) | 6.33257e11 | − | 1.09683e12i | 0.120595 | − | 0.208876i | ||||
\(672\) | −9.22380e11 | −0.174481 | ||||||||
\(673\) | −3.27621e12 | −0.615608 | −0.307804 | − | 0.951450i | \(-0.599594\pi\) | ||||
−0.307804 | + | 0.951450i | \(0.599594\pi\) | |||||||
\(674\) | −2.60003e12 | + | 4.50338e12i | −0.485298 | + | 0.840561i | ||||
\(675\) | 9.26937e11 | − | 1.60550e12i | 0.171863 | − | 0.297676i | ||||
\(676\) | −1.68549e12 | −0.310431 | ||||||||
\(677\) | 6.44833e12 | 1.17977 | 0.589887 | − | 0.807486i | \(-0.299172\pi\) | ||||
0.589887 | + | 0.807486i | \(0.299172\pi\) | |||||||
\(678\) | 3.51686e12 | − | 6.09138e12i | 0.639178 | − | 1.10709i | ||||
\(679\) | 9.35323e11 | + | 1.62003e12i | 0.168868 | + | 0.292488i | ||||
\(680\) | −8.95022e11 | + | 1.55022e12i | −0.160525 | + | 0.278038i | ||||
\(681\) | −7.38282e12 | − | 1.27874e13i | −1.31541 | − | 2.27835i | ||||
\(682\) | 6.65807e11 | + | 1.15321e12i | 0.117847 | + | 0.204117i | ||||
\(683\) | −2.80409e11 | −0.0493058 | −0.0246529 | − | 0.999696i | \(-0.507848\pi\) | ||||
−0.0246529 | + | 0.999696i | \(0.507848\pi\) | |||||||
\(684\) | −2.16789e12 | + | 4.05630e12i | −0.378690 | + | 0.708561i | ||||
\(685\) | −4.98011e12 | −0.864234 | ||||||||
\(686\) | −2.03882e12 | − | 3.53134e12i | −0.351496 | − | 0.608809i | ||||
\(687\) | −3.53102e12 | − | 6.11591e12i | −0.604776 | − | 1.04750i | ||||
\(688\) | −7.93274e10 | + | 1.37399e11i | −0.0134982 | + | 0.0233795i | ||||
\(689\) | −2.94566e12 | − | 5.10202e12i | −0.497961 | − | 0.862494i | ||||
\(690\) | 4.24200e12 | − | 7.34737e12i | 0.712443 | − | 1.23399i | ||||
\(691\) | 1.67745e12 | 0.279897 | 0.139949 | − | 0.990159i | \(-0.455306\pi\) | ||||
0.139949 | + | 0.990159i | \(0.455306\pi\) | |||||||
\(692\) | −1.00054e12 | −0.165866 | ||||||||
\(693\) | −9.53783e11 | + | 1.65200e12i | −0.157090 | + | 0.272089i | ||||
\(694\) | −3.79516e12 | + | 6.57340e12i | −0.621029 | + | 1.07565i | ||||
\(695\) | 5.21146e12 | 0.847282 | ||||||||
\(696\) | −1.62771e12 | −0.262927 | ||||||||
\(697\) | −2.03892e12 | + | 3.53151e12i | −0.327229 | + | 0.566778i | ||||
\(698\) | −9.95479e11 | − | 1.72422e12i | −0.158739 | − | 0.274943i | ||||
\(699\) | −8.87271e12 | + | 1.53680e13i | −1.40575 | + | 2.43484i | ||||
\(700\) | 3.40604e11 | + | 5.89944e11i | 0.0536178 | + | 0.0928687i | ||||
\(701\) | 5.46339e11 | + | 9.46287e11i | 0.0854537 | + | 0.148010i | 0.905584 | − | 0.424166i | \(-0.139433\pi\) |
−0.820131 | + | 0.572176i | \(0.806099\pi\) | |||||||
\(702\) | 2.74482e12 | 0.426576 | ||||||||
\(703\) | 1.12032e12 | + | 1.80143e12i | 0.172999 | + | 0.278176i | ||||
\(704\) | 2.60575e11 | 0.0399812 | ||||||||
\(705\) | −1.97767e12 | − | 3.42542e12i | −0.301510 | − | 0.522231i | ||||
\(706\) | −3.21655e12 | − | 5.57123e12i | −0.487270 | − | 0.843976i | ||||
\(707\) | 3.49659e12 | − | 6.05627e12i | 0.526329 | − | 0.911629i | ||||
\(708\) | 4.42587e12 | + | 7.66584e12i | 0.661987 | + | 1.14659i | ||||
\(709\) | −2.63561e12 | + | 4.56501e12i | −0.391717 | + | 0.678474i | −0.992676 | − | 0.120806i | \(-0.961452\pi\) |
0.600959 | + | 0.799280i | \(0.294786\pi\) | |||||||
\(710\) | 1.55595e12 | 0.229790 | ||||||||
\(711\) | −1.23762e13 | −1.81625 | ||||||||
\(712\) | 2.19945e12 | − | 3.80957e12i | 0.320741 | − | 0.555540i | ||||
\(713\) | 5.56997e12 | − | 9.64748e12i | 0.807143 | − | 1.39801i | ||||
\(714\) | −5.46249e12 | −0.786591 | ||||||||
\(715\) | 1.10892e12 | 0.158680 | ||||||||
\(716\) | 2.09348e12 | − | 3.62602e12i | 0.297688 | − | 0.515611i | ||||
\(717\) | −1.13518e12 | − | 1.96619e12i | −0.160409 | − | 0.277837i | ||||
\(718\) | 2.72170e12 | − | 4.71412e12i | 0.382190 | − | 0.661973i | ||||
\(719\) | −6.82480e10 | − | 1.18209e11i | −0.00952379 | − | 0.0164957i | 0.861224 | − | 0.508225i | \(-0.169698\pi\) |
−0.870748 | + | 0.491729i | \(0.836365\pi\) | |||||||
\(720\) | 1.16695e12 | + | 2.02121e12i | 0.161828 | + | 0.280295i | ||||
\(721\) | −2.63338e12 | −0.362915 | ||||||||
\(722\) | −5.15192e12 | + | 3.38166e11i | −0.705588 | + | 0.0463141i | ||||
\(723\) | −8.05134e12 | −1.09584 | ||||||||
\(724\) | −3.34639e12 | − | 5.79611e12i | −0.452640 | − | 0.783995i | ||||
\(725\) | 6.01059e11 | + | 1.04106e12i | 0.0807972 | + | 0.139945i | ||||
\(726\) | −3.83579e12 | + | 6.64378e12i | −0.512436 | + | 0.887565i | ||||
\(727\) | 7.06155e12 | + | 1.22310e13i | 0.937552 | + | 1.62389i | 0.770020 | + | 0.638020i | \(0.220246\pi\) |
0.167532 | + | 0.985867i | \(0.446420\pi\) | |||||||
\(728\) | −5.04293e11 | + | 8.73462e11i | −0.0665414 | + | 0.115253i | ||||
\(729\) | −1.23684e13 | −1.62196 | ||||||||
\(730\) | 7.50944e12 | 0.978711 | ||||||||
\(731\) | −4.69790e11 | + | 8.13701e11i | −0.0608521 | + | 0.105399i | ||||
\(732\) | 2.36433e12 | − | 4.09514e12i | 0.304375 | − | 0.527192i | ||||
\(733\) | −3.60766e12 | −0.461591 | −0.230796 | − | 0.973002i | \(-0.574133\pi\) | ||||
−0.230796 | + | 0.973002i | \(0.574133\pi\) | |||||||
\(734\) | 4.62256e12 | 0.587828 | ||||||||
\(735\) | −3.22308e12 | + | 5.58254e12i | −0.407360 | + | 0.705568i | ||||
\(736\) | −1.08995e12 | − | 1.88785e12i | −0.136917 | − | 0.237147i | ||||
\(737\) | −1.87674e11 | + | 3.25061e11i | −0.0234315 | + | 0.0405845i | ||||
\(738\) | 2.65838e12 | + | 4.60445e12i | 0.329885 | + | 0.571378i | ||||
\(739\) | 4.40631e12 | + | 7.63196e12i | 0.543470 | + | 0.941317i | 0.998702 | + | 0.0509440i | \(0.0162230\pi\) |
−0.455232 | + | 0.890373i | \(0.650444\pi\) | |||||||
\(740\) | 1.07649e12 | 0.131968 | ||||||||
\(741\) | 4.30883e12 | + | 6.92842e12i | 0.525021 | + | 0.844214i | ||||
\(742\) | 5.77294e12 | 0.699165 | ||||||||
\(743\) | 2.57572e12 | + | 4.46127e12i | 0.310062 | + | 0.537043i | 0.978375 | − | 0.206837i | \(-0.0663169\pi\) |
−0.668314 | + | 0.743880i | \(0.732984\pi\) | |||||||
\(744\) | 2.48586e12 | + | 4.30564e12i | 0.297440 | + | 0.515180i | ||||
\(745\) | 1.03215e12 | − | 1.78773e12i | 0.122755 | − | 0.212617i | ||||
\(746\) | 2.27516e12 | + | 3.94070e12i | 0.268960 | + | 0.465852i | ||||
\(747\) | −8.25123e12 | + | 1.42916e13i | −0.969563 | + | 1.67933i | ||||
\(748\) | 1.54317e12 | 0.180242 | ||||||||
\(749\) | −2.81936e12 | −0.327328 | ||||||||
\(750\) | 5.38351e12 | − | 9.32452e12i | 0.621284 | − | 1.07610i | ||||
\(751\) | 7.60637e12 | − | 1.31746e13i | 0.872565 | − | 1.51133i | 0.0132309 | − | 0.999912i | \(-0.495788\pi\) |
0.859334 | − | 0.511415i | \(-0.170878\pi\) | |||||||
\(752\) | −1.01629e12 | −0.115888 | ||||||||
\(753\) | 2.42360e11 | 0.0274716 | ||||||||
\(754\) | −8.89919e11 | + | 1.54138e12i | −0.100272 | + | 0.173676i | ||||
\(755\) | −2.02183e12 | − | 3.50191e12i | −0.226456 | − | 0.392233i | ||||
\(756\) | −1.34483e12 | + | 2.32932e12i | −0.149734 | + | 0.259347i | ||||
\(757\) | 6.01755e12 | + | 1.04227e13i | 0.666021 | + | 1.15358i | 0.979007 | + | 0.203825i | \(0.0653373\pi\) |
−0.312986 | + | 0.949758i | \(0.601329\pi\) | |||||||
\(758\) | −1.32209e12 | − | 2.28992e12i | −0.145462 | − | 0.251947i | ||||
\(759\) | −7.31393e12 | −0.799949 | ||||||||
\(760\) | −1.23493e12 | + | 2.31066e12i | −0.134271 | + | 0.251231i | ||||
\(761\) | −1.38508e13 | −1.49707 | −0.748537 | − | 0.663093i | \(-0.769243\pi\) | ||||
−0.748537 | + | 0.663093i | \(0.769243\pi\) | |||||||
\(762\) | 5.15798e12 | + | 8.93389e12i | 0.554221 | + | 0.959938i | ||||
\(763\) | 1.35708e12 | + | 2.35053e12i | 0.144959 | + | 0.251076i | ||||
\(764\) | 3.86480e12 | − | 6.69403e12i | 0.410400 | − | 0.710833i | ||||
\(765\) | 6.91085e12 | + | 1.19699e13i | 0.729550 | + | 1.26362i | ||||
\(766\) | −7.33438e11 | + | 1.27035e12i | −0.0769722 | + | 0.133320i | ||||
\(767\) | 9.67903e12 | 1.00984 | ||||||||
\(768\) | 9.72883e11 | 0.100910 | ||||||||
\(769\) | 2.21637e12 | − | 3.83886e12i | 0.228546 | − | 0.395853i | −0.728832 | − | 0.684693i | \(-0.759936\pi\) |
0.957377 | + | 0.288840i | \(0.0932696\pi\) | |||||||
\(770\) | −5.43319e11 | + | 9.41056e11i | −0.0556989 | + | 0.0964733i | ||||
\(771\) | −8.84595e12 | −0.901570 | ||||||||
\(772\) | −1.93450e12 | −0.196016 | ||||||||
\(773\) | −5.93536e12 | + | 1.02803e13i | −0.597915 | + | 1.03562i | 0.395213 | + | 0.918589i | \(0.370671\pi\) |
−0.993128 | + | 0.117030i | \(0.962663\pi\) | |||||||
\(774\) | 6.12521e11 | + | 1.06092e12i | 0.0613461 | + | 0.106254i | ||||
\(775\) | 1.83589e12 | − | 3.17986e12i | 0.182805 | − | 0.316628i | ||||
\(776\) | −9.86535e11 | − | 1.70873e12i | −0.0976640 | − | 0.169159i | ||||
\(777\) | 1.64251e12 | + | 2.84492e12i | 0.161664 | + | 0.280011i | ||||
\(778\) | 5.03585e12 | 0.492793 | ||||||||
\(779\) | −2.81325e12 | + | 5.26382e12i | −0.273709 | + | 0.512133i | ||||
\(780\) | 4.14026e12 | 0.400500 | ||||||||
\(781\) | −6.70678e11 | − | 1.16165e12i | −0.0645036 | − | 0.111724i | ||||
\(782\) | −6.45487e12 | − | 1.11802e13i | −0.617245 | − | 1.06910i | ||||
\(783\) | −2.37321e12 | + | 4.11052e12i | −0.225636 | + | 0.390813i | ||||
\(784\) | 8.28146e11 | + | 1.43439e12i | 0.0782861 | + | 0.135595i | ||||
\(785\) | 2.02953e12 | − | 3.51524e12i | 0.190757 | − | 0.330401i | ||||
\(786\) | −5.59221e12 | −0.522615 | ||||||||
\(787\) | 1.47348e13 | 1.36917 | 0.684586 | − | 0.728932i | \(-0.259983\pi\) | ||||
0.684586 | + | 0.728932i | \(0.259983\pi\) | |||||||
\(788\) | 4.66642e12 | − | 8.08247e12i | 0.431137 | − | 0.746751i | ||||
\(789\) | 2.58641e12 | − | 4.47980e12i | 0.237603 | − | 0.411540i | ||||
\(790\) | −7.05007e12 | −0.643979 | ||||||||
\(791\) | 7.53657e12 | 0.684510 | ||||||||
\(792\) | 1.00600e12 | − | 1.74245e12i | 0.0908525 | − | 0.157361i | ||||
\(793\) | −2.58530e12 | − | 4.47788e12i | −0.232157 | − | 0.402108i | ||||
\(794\) | −3.96926e12 | + | 6.87496e12i | −0.354419 | + | 0.613872i | ||||
\(795\) | −1.18490e13 | − | 2.05231e13i | −1.05203 | − | 1.82218i | ||||
\(796\) | −1.09276e12 | − | 1.89272e12i | −0.0964757 | − | 0.167101i | ||||
\(797\) | 5.12915e12 | 0.450280 | 0.225140 | − | 0.974326i | \(-0.427716\pi\) | ||||
0.225140 | + | 0.974326i | \(0.427716\pi\) | |||||||
\(798\) | −7.99076e12 | + | 2.61971e11i | −0.697550 | + | 0.0228686i | ||||
\(799\) | −6.01865e12 | −0.522443 | ||||||||
\(800\) | −3.59253e11 | − | 6.22245e11i | −0.0310096 | − | 0.0537101i | ||||
\(801\) | −1.69829e13 | − | 2.94153e13i | −1.45769 | − | 2.52480i | ||||
\(802\) | 3.70512e12 | − | 6.41745e12i | 0.316241 | − | 0.547745i | ||||
\(803\) | −3.23688e12 | − | 5.60644e12i | −0.274731 | − | 0.475847i | ||||
\(804\) | −7.00700e11 | + | 1.21365e12i | −0.0591398 | + | 0.102433i | ||||
\(805\) | 9.09054e12 | 0.762971 | ||||||||
\(806\) | 5.43638e12 | 0.453735 | ||||||||
\(807\) | −7.90631e12 | + | 1.36941e13i | −0.656210 | + | 1.13659i | ||||
\(808\) | −3.68804e12 | + | 6.38787e12i | −0.304400 | + | 0.527236i | ||||
\(809\) | 7.93116e12 | 0.650981 | 0.325491 | − | 0.945545i | \(-0.394471\pi\) | ||||
0.325491 | + | 0.945545i | \(0.394471\pi\) | |||||||
\(810\) | −1.74196e11 | −0.0142186 | ||||||||
\(811\) | −3.47404e12 | + | 6.01721e12i | −0.281995 | + | 0.488429i | −0.971876 | − | 0.235493i | \(-0.924329\pi\) |
0.689881 | + | 0.723923i | \(0.257663\pi\) | |||||||
\(812\) | −8.72039e11 | − | 1.51042e12i | −0.0703937 | − | 0.121925i | ||||
\(813\) | 1.85827e13 | − | 3.21862e13i | 1.49177 | − | 2.58382i | ||||
\(814\) | −4.64014e11 | − | 8.03696e11i | −0.0370443 | − | 0.0641626i | ||||
\(815\) | −3.01610e12 | − | 5.22404e12i | −0.239462 | − | 0.414760i | ||||
\(816\) | 5.76158e12 | 0.454921 | ||||||||
\(817\) | −6.48205e11 | + | 1.21285e12i | −0.0508995 | + | 0.0952371i | ||||
\(818\) | 7.06951e12 | 0.552077 | ||||||||
\(819\) | 3.89386e12 | + | 6.74437e12i | 0.302415 | + | 0.523798i | ||||
\(820\) | 1.51434e12 | + | 2.62291e12i | 0.116966 | + | 0.202591i | ||||
\(821\) | −3.92273e12 | + | 6.79437e12i | −0.301331 | + | 0.521921i | −0.976438 | − | 0.215799i | \(-0.930764\pi\) |
0.675106 | + | 0.737720i | \(0.264098\pi\) | |||||||
\(822\) | 8.01469e12 | + | 1.38819e13i | 0.612299 | + | 1.06053i | ||||
\(823\) | −6.93947e12 | + | 1.20195e13i | −0.527262 | + | 0.913245i | 0.472233 | + | 0.881474i | \(0.343448\pi\) |
−0.999495 | + | 0.0317713i | \(0.989885\pi\) | |||||||
\(824\) | 2.77757e12 | 0.209890 | ||||||||
\(825\) | −2.41070e12 | −0.181176 | ||||||||
\(826\) | −4.74228e12 | + | 8.21387e12i | −0.354468 | + | 0.613957i | ||||
\(827\) | 6.90979e12 | − | 1.19681e13i | 0.513677 | − | 0.889715i | −0.486197 | − | 0.873849i | \(-0.661616\pi\) |
0.999874 | − | 0.0158657i | \(-0.00505042\pi\) | |||||||
\(828\) | −1.68320e13 | −1.24451 | ||||||||
\(829\) | 1.72478e13 | 1.26835 | 0.634174 | − | 0.773190i | \(-0.281340\pi\) | ||||
0.634174 | + | 0.773190i | \(0.281340\pi\) | |||||||
\(830\) | −4.70029e12 | + | 8.14113e12i | −0.343774 | + | 0.595434i | ||||
\(831\) | −2.07966e13 | − | 3.60208e13i | −1.51282 | − | 2.62028i | ||||
\(832\) | 5.31905e11 | − | 9.21286e11i | 0.0384839 | − | 0.0666560i | ||||
\(833\) | 4.90442e12 | + | 8.49470e12i | 0.352927 | + | 0.611288i | ||||
\(834\) | −8.38702e12 | − | 1.45267e13i | −0.600289 | − | 1.03973i | ||||
\(835\) | 1.94268e13 | 1.38296 | ||||||||
\(836\) | 2.25741e12 | − | 7.40074e10i | 0.159839 | − | 0.00524018i | ||||
\(837\) | 1.44976e13 | 1.02101 | ||||||||
\(838\) | 7.68984e12 | + | 1.33192e13i | 0.538666 | + | 0.932996i | ||||
\(839\) | −8.86859e12 | − | 1.53609e13i | −0.617911 | − | 1.07025i | −0.989866 | − | 0.142003i | \(-0.954646\pi\) |
0.371955 | − | 0.928251i | \(-0.378687\pi\) | |||||||
\(840\) | −2.02854e12 | + | 3.51353e12i | −0.140581 | + | 0.243493i | ||||
\(841\) | 5.71470e12 | + | 9.89815e12i | 0.393923 | + | 0.682295i | ||||
\(842\) | 3.99550e12 | − | 6.92040e12i | 0.273947 | − | 0.474490i | ||||
\(843\) | 4.00369e12 | 0.273046 | ||||||||
\(844\) | −9.28903e12 | −0.630129 | ||||||||
\(845\) | −3.70679e12 | + | 6.42035e12i | −0.250117 | + | 0.433215i | ||||
\(846\) | −3.92361e12 | + | 6.79590e12i | −0.263342 | + | 0.456121i | ||||
\(847\) | −8.22002e12 | −0.548779 | ||||||||
\(848\) | −6.08903e12 | −0.404359 | ||||||||
\(849\) | 1.29628e13 | − | 2.24522e13i | 0.856277 | − | 1.48311i | ||||
\(850\) | −2.12756e12 | − | 3.68504e12i | −0.139796 | − | 0.242135i | ||||
\(851\) | −3.88182e12 | + | 6.72351e12i | −0.253719 | + | 0.439454i | ||||
\(852\) | −2.50404e12 | − | 4.33713e12i | −0.162804 | − | 0.281984i | ||||
\(853\) | 7.88752e12 | + | 1.36616e13i | 0.510117 | + | 0.883549i | 0.999931 | + | 0.0117221i | \(0.00373134\pi\) |
−0.489814 | + | 0.871827i | \(0.662935\pi\) | |||||||
\(854\) | 5.06672e12 | 0.325961 | ||||||||
\(855\) | 1.06835e13 | + | 1.71787e13i | 0.683703 | + | 1.09937i | ||||
\(856\) | 2.97373e12 | 0.189308 | ||||||||
\(857\) | −4.71772e12 | − | 8.17133e12i | −0.298757 | − | 0.517463i | 0.677095 | − | 0.735896i | \(-0.263239\pi\) |
−0.975852 | + | 0.218433i | \(0.929905\pi\) | |||||||
\(858\) | −1.78463e12 | − | 3.09106e12i | −0.112423 | − | 0.194722i | ||||
\(859\) | 8.70378e12 | − | 1.50754e13i | 0.545429 | − | 0.944711i | −0.453151 | − | 0.891434i | \(-0.649700\pi\) |
0.998580 | − | 0.0532771i | \(-0.0169667\pi\) | |||||||
\(860\) | 3.48921e11 | + | 6.04348e11i | 0.0217512 | + | 0.0376742i | ||||
\(861\) | −4.62114e12 | + | 8.00405e12i | −0.286573 | + | 0.496359i | ||||
\(862\) | 1.41687e13 | 0.874071 | ||||||||
\(863\) | 1.59391e12 | 0.0978173 | 0.0489086 | − | 0.998803i | \(-0.484426\pi\) | ||||
0.0489086 | + | 0.998803i | \(0.484426\pi\) | |||||||
\(864\) | 1.41847e12 | − | 2.45686e12i | 0.0865980 | − | 0.149992i | ||||
\(865\) | −2.20044e12 | + | 3.81127e12i | −0.133640 | + | 0.231471i | ||||
\(866\) | −1.17376e13 | −0.709168 | ||||||||
\(867\) | 7.25886e12 | 0.436297 | ||||||||
\(868\) | −2.66358e12 | + | 4.61345e12i | −0.159267 | + | 0.275859i | ||||
\(869\) | 3.03888e12 | + | 5.26349e12i | 0.180769 | + | 0.313101i | ||||
\(870\) | −3.57973e12 | + | 6.20028e12i | −0.211843 | + | 0.366923i | ||||
\(871\) | 7.66188e11 | + | 1.32708e12i | 0.0451080 | + | 0.0781293i | ||||
\(872\) | −1.43138e12 | − | 2.47923e12i | −0.0838363 | − | 0.145209i | ||||
\(873\) | −1.52349e13 | −0.887720 | ||||||||
\(874\) | −9.97864e12 | − | 1.60453e13i | −0.578455 | − | 0.930133i | ||||
\(875\) | 1.15368e13 | 0.665347 | ||||||||
\(876\) | −1.20852e13 | − | 2.09322e13i | −0.693405 | − | 1.20101i | ||||
\(877\) | 8.21583e11 | + | 1.42302e12i | 0.0468979 | + | 0.0812295i | 0.888521 | − | 0.458835i | \(-0.151733\pi\) |
−0.841624 | + | 0.540065i | \(0.818400\pi\) | |||||||
\(878\) | −5.92316e12 | + | 1.02592e13i | −0.336378 | + | 0.582625i | ||||
\(879\) | −2.23480e12 | − | 3.87078e12i | −0.126266 | − | 0.218700i | ||||
\(880\) | 5.73067e11 | − | 9.92582e11i | 0.0322132 | − | 0.0557949i | ||||
\(881\) | −4.44251e12 | −0.248449 | −0.124224 | − | 0.992254i | \(-0.539644\pi\) | ||||
−0.124224 | + | 0.992254i | \(0.539644\pi\) | |||||||
\(882\) | 1.27889e13 | 0.711584 | ||||||||
\(883\) | 6.39881e12 | − | 1.10831e13i | 0.354222 | − | 0.613531i | −0.632762 | − | 0.774346i | \(-0.718079\pi\) |
0.986985 | + | 0.160815i | \(0.0514122\pi\) | |||||||
\(884\) | 3.15003e12 | − | 5.45601e12i | 0.173492 | − | 0.300497i | ||||
\(885\) | 3.89343e13 | 2.13347 | ||||||||
\(886\) | 2.10885e13 | 1.14973 | ||||||||
\(887\) | −1.17270e13 | + | 2.03118e13i | −0.636109 | + | 1.10177i | 0.350171 | + | 0.936686i | \(0.386124\pi\) |
−0.986279 | + | 0.165086i | \(0.947210\pi\) | |||||||
\(888\) | −1.73244e12 | − | 3.00068e12i | −0.0934977 | − | 0.161943i | ||||
\(889\) | −5.52673e12 | + | 9.57258e12i | −0.296763 | + | 0.514009i | ||||
\(890\) | −9.67427e12 | − | 1.67563e13i | −0.516848 | − | 0.895207i | ||||
\(891\) | 7.50857e10 | + | 1.30052e11i | 0.00399124 | + | 0.00691303i | ||||
\(892\) | −8.92973e12 | −0.472277 | ||||||||
\(893\) | −8.80434e12 | + | 2.88643e11i | −0.463303 | + | 0.0151890i | ||||
\(894\) | −6.64429e12 | −0.347880 | ||||||||
\(895\) | −9.20816e12 | − | 1.59490e13i | −0.479700 | − | 0.830864i | ||||
\(896\) | 5.21218e11 | + | 9.02776e11i | 0.0270167 | + | 0.0467944i | ||||
\(897\) | −1.49297e13 | + | 2.58591e13i | −0.769992 | + | 1.33366i | ||||
\(898\) | 2.16019e12 | + | 3.74155e12i | 0.110853 | + | 0.192003i | ||||
\(899\) | −4.70038e12 | + | 8.14129e12i | −0.240002 | + | 0.415695i | ||||
\(900\) | −5.54790e12 | −0.281862 | ||||||||
\(901\) | −3.60602e13 | −1.82292 | ||||||||
\(902\) | 1.30548e12 | − | 2.26117e12i | 0.0656663 | − | 0.113737i | ||||
\(903\) | −1.06476e12 | + | 1.84423e12i | −0.0532916 | + | 0.0923037i | ||||
\(904\) | −7.94922e12 | −0.395883 | ||||||||
\(905\) | −2.94381e13 | −1.45878 | ||||||||
\(906\) | −6.50763e12 | + | 1.12715e13i | −0.320882 | + | 0.555784i | ||||
\(907\) | 1.12087e13 | + | 1.94140e13i | 0.549947 | + | 0.952535i | 0.998278 | + | 0.0586678i | \(0.0186853\pi\) |
−0.448331 | + | 0.893868i | \(0.647981\pi\) | |||||||
\(908\) | −8.34375e12 | + | 1.44518e13i | −0.407357 | + | 0.705563i | ||||
\(909\) | 2.84769e13 | + | 4.93235e13i | 1.38342 | + | 2.39616i | ||||
\(910\) | 2.21813e12 | + | 3.84191e12i | 0.107226 | + | 0.185721i | ||||
\(911\) | 4.11128e12 | 0.197763 | 0.0988813 | − | 0.995099i | \(-0.468474\pi\) | ||||
0.0988813 | + | 0.995099i | \(0.468474\pi\) | |||||||
\(912\) | 8.42828e12 | − | 2.76314e11i | 0.403424 | − | 0.0132259i | ||||
\(913\) | 8.10408e12 | 0.385998 | ||||||||
\(914\) | −8.74456e12 | − | 1.51460e13i | −0.414457 | − | 0.717861i | ||||
\(915\) | −1.03995e13 | − | 1.80124e13i | −0.490475 | − | 0.849527i | ||||
\(916\) | −3.99061e12 | + | 6.91194e12i | −0.187288 | + | 0.324392i | ||||
\(917\) | −2.99600e12 | − | 5.18923e12i | −0.139920 | − | 0.242349i | ||||
\(918\) | 8.40041e12 | − | 1.45499e13i | 0.390399 | − | 0.676190i | ||||
\(919\) | −1.05548e12 | −0.0488125 | −0.0244062 | − | 0.999702i | \(-0.507770\pi\) | ||||
−0.0244062 | + | 0.999702i | \(0.507770\pi\) | |||||||
\(920\) | −9.58827e12 | −0.441260 | ||||||||
\(921\) | −1.72605e13 | + | 2.98961e13i | −0.790469 | + | 1.36913i | ||||
\(922\) | −4.24261e12 | + | 7.34842e12i | −0.193350 | + | 0.334892i | ||||
\(923\) | −5.47615e12 | −0.248352 | ||||||||
\(924\) | 3.49754e12 | 0.157848 | ||||||||
\(925\) | −1.27947e12 | + | 2.21610e12i | −0.0574634 | + | 0.0995295i | ||||
\(926\) | 9.25740e12 | + | 1.60343e13i | 0.413752 | + | 0.716639i | ||||
\(927\) | 1.07234e13 | − | 1.85735e13i | 0.476951 | − | 0.826103i | ||||
\(928\) | 9.19785e11 | + | 1.59311e12i | 0.0407118 | + | 0.0705149i | ||||
\(929\) | −2.59110e12 | − | 4.48792e12i | −0.114134 | − | 0.197685i | 0.803300 | − | 0.595575i | \(-0.203076\pi\) |
−0.917433 | + | 0.397890i | \(0.869743\pi\) | |||||||
\(930\) | 2.18681e13 | 0.958599 | ||||||||
\(931\) | 7.58178e12 | + | 1.21912e13i | 0.330748 | + | 0.531830i | ||||
\(932\) | 2.00551e13 | 0.870671 | ||||||||
\(933\) | 1.56062e12 | + | 2.70306e12i | 0.0674262 | + | 0.116786i | ||||
\(934\) | 9.12364e12 | + | 1.58026e13i | 0.392290 | + | 0.679466i | ||||
\(935\) | 3.39380e12 | − | 5.87824e12i | 0.145223 | − | 0.251533i | ||||
\(936\) | −4.10706e12 | − | 7.11364e12i | −0.174900 | − | 0.302936i | ||||
\(937\) | 1.08639e13 | − | 1.88168e13i | 0.460422 | − | 0.797475i | −0.538560 | − | 0.842587i | \(-0.681031\pi\) |
0.998982 | + | 0.0451126i | \(0.0143647\pi\) | |||||||
\(938\) | −1.50159e12 | −0.0633341 | ||||||||
\(939\) | 4.85994e13 | 2.04002 | ||||||||
\(940\) | −2.23507e12 | + | 3.87126e12i | −0.0933720 | + | 0.161725i | ||||
\(941\) | 1.01200e13 | − | 1.75284e13i | 0.420754 | − | 0.728768i | −0.575259 | − | 0.817971i | \(-0.695099\pi\) |
0.996013 | + | 0.0892034i | \(0.0284321\pi\) | |||||||
\(942\) | −1.30648e13 | −0.540597 | ||||||||
\(943\) | −2.18427e13 | −0.899505 | ||||||||
\(944\) | 5.00193e12 | − | 8.66361e12i | 0.205005 | − | 0.355079i | ||||
\(945\) | 5.91524e12 | + | 1.02455e13i | 0.241284 | + | 0.417917i | ||||
\(946\) | 3.00799e11 | − | 5.20999e11i | 0.0122114 | − | 0.0211508i | ||||
\(947\) | 6.07799e12 | + | 1.05274e13i | 0.245576 | + | 0.425349i | 0.962293 | − | 0.272014i | \(-0.0876897\pi\) |
−0.716718 | + | 0.697363i | \(0.754356\pi\) | |||||||
\(948\) | 1.13460e13 | + | 1.96518e13i | 0.456251 | + | 0.790250i | ||||
\(949\) | −2.64295e13 | −1.05777 | ||||||||
\(950\) | −3.28901e12 | − | 5.28859e12i | −0.131011 | − | 0.210661i | ||||
\(951\) | 1.39620e13 | 0.553522 | ||||||||
\(952\) | 3.08674e12 | + | 5.34639e12i | 0.121796 | + | 0.210957i | ||||
\(953\) | 1.35407e13 | + | 2.34532e13i | 0.531770 | + | 0.921053i | 0.999312 | + | 0.0370824i | \(0.0118064\pi\) |
−0.467542 | + | 0.883971i | \(0.654860\pi\) | |||||||
\(954\) | −2.35080e13 | + | 4.07170e13i | −0.918857 | + | 1.59151i | ||||
\(955\) | −1.69993e13 | − | 2.94436e13i | −0.661325 | − | 1.14545i | ||||
\(956\) | −1.28293e12 | + | 2.22211e12i | −0.0496757 | + | 0.0860409i | ||||
\(957\) | 6.17206e12 | 0.237863 | ||||||||
\(958\) | 7.41224e12 | 0.284318 | ||||||||
\(959\) | −8.58767e12 | + | 1.48743e13i | −0.327862 | + | 0.567874i | ||||
\(960\) | 2.13961e12 | − | 3.70591e12i | 0.0813043 | − | 0.140823i | ||||
\(961\) | 2.27428e12 | 0.0860177 | ||||||||
\(962\) | −3.78872e12 | −0.142628 | ||||||||
\(963\) | 1.14807e13 | − | 1.98852e13i | 0.430181 | − | 0.745095i | ||||
\(964\) | 4.54964e12 | + | 7.88021e12i | 0.169680 | + | 0.293894i | ||||
\(965\) | −4.25444e12 | + | 7.36891e12i | −0.157932 | + | 0.273546i | ||||
\(966\) | −1.46298e13 | − | 2.53395e13i | −0.540555 | − | 0.936269i | ||||
\(967\) | −2.73322e12 | − | 4.73408e12i | −0.100521 | − | 0.174107i | 0.811379 | − | 0.584521i | \(-0.198718\pi\) |
−0.911899 | + | 0.410414i | \(0.865384\pi\) | |||||||
\(968\) | 8.67009e12 | 0.317384 | ||||||||
\(969\) | 4.99137e13 | − | 1.63638e12i | 1.81871 | − | 0.0596248i | ||||
\(970\) | −8.67852e12 | −0.314755 | ||||||||
\(971\) | −1.99901e13 | − | 3.46238e13i | −0.721652 | − | 1.24994i | −0.960337 | − | 0.278841i | \(-0.910050\pi\) |
0.238685 | − | 0.971097i | \(-0.423284\pi\) | |||||||
\(972\) | 7.09668e12 | + | 1.22918e13i | 0.255010 | + | 0.441690i | ||||
\(973\) | 8.98661e12 | − | 1.55653e13i | 0.321431 | − | 0.556735i | ||||
\(974\) | −1.33360e13 | − | 2.30987e13i | −0.474800 | − | 0.822378i | ||||
\(975\) | −4.92091e12 | + | 8.52327e12i | −0.174391 | + | 0.302055i | ||||
\(976\) | −5.34413e12 | −0.188518 | ||||||||
\(977\) | −3.51363e13 | −1.23376 | −0.616880 | − | 0.787057i | \(-0.711604\pi\) | ||||
−0.616880 | + | 0.787057i | \(0.711604\pi\) | |||||||
\(978\) | −9.70786e12 | + | 1.68145e13i | −0.339312 | + | 0.587705i | ||||
\(979\) | −8.34003e12 | + | 1.44453e13i | −0.290165 | + | 0.502581i | ||||
\(980\) | 7.28518e12 | 0.252303 | ||||||||
\(981\) | −2.21047e13 | −0.762033 | ||||||||
\(982\) | −1.24048e13 | + | 2.14857e13i | −0.425684 | + | 0.737306i | ||||
\(983\) | 2.13777e13 | + | 3.70273e13i | 0.730248 | + | 1.26483i | 0.956777 | + | 0.290823i | \(0.0939290\pi\) |
−0.226529 | + | 0.974005i | \(0.572738\pi\) | |||||||
\(984\) | 4.87416e12 | − | 8.44230e12i | 0.165738 | − | 0.287067i | ||||
\(985\) | −2.05252e13 | − | 3.55506e13i | −0.694742 | − | 1.20333i | ||||
\(986\) | 5.44712e12 | + | 9.43469e12i | 0.183536 | + | 0.317894i | ||||
\(987\) | −1.36411e13 | −0.457532 | ||||||||
\(988\) | 4.34633e12 | − | 8.13235e12i | 0.145117 | − | 0.271525i | ||||
\(989\) | −5.03281e12 | −0.167274 | ||||||||
\(990\) | −4.42490e12 | − | 7.66415e12i | −0.146401 | − | 0.253574i | ||||
\(991\) | 1.79846e13 | + | 3.11502e13i | 0.592338 | + | 1.02596i | 0.993917 | + | 0.110134i | \(0.0351281\pi\) |
−0.401579 | + | 0.915824i | \(0.631539\pi\) | |||||||
\(992\) | 2.80942e12 | − | 4.86605e12i | 0.0921114 | − | 0.159542i | ||||
\(993\) | −3.69296e13 | − | 6.39639e13i | −1.20532 | − | 2.08768i | ||||
\(994\) | 2.68306e12 | − | 4.64720e12i | 0.0871750 | − | 0.150991i | ||||
\(995\) | −9.61302e12 | −0.310925 | ||||||||
\(996\) | 3.02574e13 | 0.974238 | ||||||||
\(997\) | −9.69001e12 | + | 1.67836e13i | −0.310596 | + | 0.537968i | −0.978492 | − | 0.206287i | \(-0.933862\pi\) |
0.667895 | + | 0.744255i | \(0.267195\pi\) | |||||||
\(998\) | 4.15606e12 | − | 7.19850e12i | 0.132615 | − | 0.229697i | ||||
\(999\) | −1.01036e13 | −0.320947 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 38.10.c.a.7.1 | ✓ | 14 | |
19.11 | even | 3 | inner | 38.10.c.a.11.1 | yes | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.10.c.a.7.1 | ✓ | 14 | 1.1 | even | 1 | trivial | |
38.10.c.a.11.1 | yes | 14 | 19.11 | even | 3 | inner |