Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,12,Mod(9,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.9");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.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: | \(10.7568045278\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + 149344 x^{6} + 5578711 x^{5} + 20557200983 x^{4} + 408905884576 x^{3} + 267736482219682 x^{2} + \cdots + 30\!\cdots\!24 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{12}\cdot 3\cdot 7^{3} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Root | \(51.3434 + 88.9294i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.9 |
Dual form | 14.12.c.b.11.3 |
$q$-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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 16.0000 | − | 27.7128i | 0.353553 | − | 0.612372i | ||||
\(3\) | 69.1868 | + | 119.835i | 0.164383 | + | 0.284719i | 0.936436 | − | 0.350839i | \(-0.114103\pi\) |
−0.772053 | + | 0.635558i | \(0.780770\pi\) | |||||||
\(4\) | −512.000 | − | 886.810i | −0.250000 | − | 0.433013i | ||||
\(5\) | 274.515 | − | 475.474i | 0.0392854 | − | 0.0680443i | −0.845714 | − | 0.533636i | \(-0.820825\pi\) |
0.885000 | + | 0.465592i | \(0.154159\pi\) | |||||||
\(6\) | 4427.96 | 0.232472 | ||||||||
\(7\) | −25454.3 | − | 36461.0i | −0.572430 | − | 0.819954i | ||||
\(8\) | −32768.0 | −0.353553 | ||||||||
\(9\) | 78999.9 | − | 136832.i | 0.445957 | − | 0.772419i | ||||
\(10\) | −8784.49 | − | 15215.2i | −0.0277790 | − | 0.0481146i | ||||
\(11\) | −123934. | − | 214661.i | −0.232024 | − | 0.401877i | 0.726380 | − | 0.687293i | \(-0.241201\pi\) |
−0.958404 | + | 0.285417i | \(0.907868\pi\) | |||||||
\(12\) | 70847.3 | − | 122711.i | 0.0821914 | − | 0.142360i | ||||
\(13\) | −1.83800e6 | −1.37295 | −0.686477 | − | 0.727151i | \(-0.740844\pi\) | ||||
−0.686477 | + | 0.727151i | \(0.740844\pi\) | |||||||
\(14\) | −1.41771e6 | + | 122034.i | −0.704502 | + | 0.0606427i | ||||
\(15\) | 75971.3 | 0.0258314 | ||||||||
\(16\) | −524288. | + | 908093.i | −0.125000 | + | 0.216506i | ||||
\(17\) | −3.08342e6 | − | 5.34065e6i | −0.526701 | − | 0.912273i | −0.999516 | − | 0.0311114i | \(-0.990095\pi\) |
0.472815 | − | 0.881162i | \(-0.343238\pi\) | |||||||
\(18\) | −2.52800e6 | − | 4.37862e6i | −0.315339 | − | 0.546183i | ||||
\(19\) | 841196. | − | 1.45699e6i | 0.0779386 | − | 0.134994i | −0.824422 | − | 0.565976i | \(-0.808500\pi\) |
0.902360 | + | 0.430982i | \(0.141833\pi\) | |||||||
\(20\) | −562207. | −0.0392854 | ||||||||
\(21\) | 2.60820e6 | − | 5.57294e6i | 0.139359 | − | 0.297768i | ||||
\(22\) | −7.93180e6 | −0.328131 | ||||||||
\(23\) | 8.79546e6 | − | 1.52342e7i | 0.284941 | − | 0.493533i | −0.687654 | − | 0.726039i | \(-0.741359\pi\) |
0.972595 | + | 0.232506i | \(0.0746926\pi\) | |||||||
\(24\) | −2.26711e6 | − | 3.92676e6i | −0.0581181 | − | 0.100663i | ||||
\(25\) | 2.42633e7 | + | 4.20253e7i | 0.496913 | + | 0.860679i | ||||
\(26\) | −2.94079e7 | + | 5.09360e7i | −0.485413 | + | 0.840760i | ||||
\(27\) | 4.63755e7 | 0.621996 | ||||||||
\(28\) | −1.93014e7 | + | 4.12412e7i | −0.211943 | + | 0.452858i | ||||
\(29\) | 1.50671e8 | 1.36409 | 0.682043 | − | 0.731312i | \(-0.261092\pi\) | ||||
0.682043 | + | 0.731312i | \(0.261092\pi\) | |||||||
\(30\) | 1.21554e6 | − | 2.10538e6i | 0.00913278 | − | 0.0158184i | ||||
\(31\) | 5.90206e7 | + | 1.02227e8i | 0.370266 | + | 0.641320i | 0.989606 | − | 0.143803i | \(-0.0459331\pi\) |
−0.619340 | + | 0.785123i | \(0.712600\pi\) | |||||||
\(32\) | 1.67772e7 | + | 2.90590e7i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 1.71493e7 | − | 2.97034e7i | 0.0762814 | − | 0.132123i | ||||
\(34\) | −1.97339e8 | −0.744868 | ||||||||
\(35\) | −2.43239e7 | + | 2.09377e6i | −0.0782814 | + | 0.00673837i | ||||
\(36\) | −1.61792e8 | −0.445957 | ||||||||
\(37\) | 2.77318e8 | − | 4.80329e8i | 0.657460 | − | 1.13875i | −0.323811 | − | 0.946122i | \(-0.604964\pi\) |
0.981271 | − | 0.192632i | \(-0.0617023\pi\) | |||||||
\(38\) | −2.69183e7 | − | 4.66238e7i | −0.0551109 | − | 0.0954549i | ||||
\(39\) | −1.27165e8 | − | 2.20256e8i | −0.225690 | − | 0.390907i | ||||
\(40\) | −8.99531e6 | + | 1.55803e7i | −0.0138895 | + | 0.0240573i | ||||
\(41\) | −4.42101e8 | −0.595950 | −0.297975 | − | 0.954574i | \(-0.596311\pi\) | ||||
−0.297975 | + | 0.954574i | \(0.596311\pi\) | |||||||
\(42\) | −1.12711e8 | − | 1.61448e8i | −0.133074 | − | 0.190617i | ||||
\(43\) | −5.11519e8 | −0.530622 | −0.265311 | − | 0.964163i | \(-0.585475\pi\) | ||||
−0.265311 | + | 0.964163i | \(0.585475\pi\) | |||||||
\(44\) | −1.26909e8 | + | 2.19813e8i | −0.116012 | + | 0.200938i | ||||
\(45\) | −4.33733e7 | − | 7.51248e7i | −0.0350392 | − | 0.0606896i | ||||
\(46\) | −2.81455e8 | − | 4.87494e8i | −0.201484 | − | 0.348980i | ||||
\(47\) | 3.64835e7 | − | 6.31913e7i | 0.0232038 | − | 0.0401901i | −0.854190 | − | 0.519960i | \(-0.825947\pi\) |
0.877394 | + | 0.479770i | \(0.159280\pi\) | |||||||
\(48\) | −1.45095e8 | −0.0821914 | ||||||||
\(49\) | −6.81483e8 | + | 1.85618e9i | −0.344649 | + | 0.938732i | ||||
\(50\) | 1.55285e9 | 0.702742 | ||||||||
\(51\) | 4.26665e8 | − | 7.39005e8i | 0.173161 | − | 0.299924i | ||||
\(52\) | 9.41054e8 | + | 1.62995e9i | 0.343239 | + | 0.594507i | ||||
\(53\) | −5.60906e8 | − | 9.71518e8i | −0.184235 | − | 0.319105i | 0.759083 | − | 0.650994i | \(-0.225648\pi\) |
−0.943319 | + | 0.331889i | \(0.892314\pi\) | |||||||
\(54\) | 7.42007e8 | − | 1.28519e9i | 0.219909 | − | 0.380893i | ||||
\(55\) | −1.36088e8 | −0.0364606 | ||||||||
\(56\) | 8.34087e8 | + | 1.19475e9i | 0.202384 | + | 0.289897i | ||||
\(57\) | 2.32799e8 | 0.0512470 | ||||||||
\(58\) | 2.41074e9 | − | 4.17553e9i | 0.482277 | − | 0.835329i | ||||
\(59\) | 4.44766e9 | + | 7.70358e9i | 0.809927 | + | 1.40283i | 0.912914 | + | 0.408152i | \(0.133827\pi\) |
−0.102987 | + | 0.994683i | \(0.532840\pi\) | |||||||
\(60\) | −3.88973e7 | − | 6.73721e7i | −0.00645785 | − | 0.0111853i | ||||
\(61\) | −4.28033e8 | + | 7.41375e8i | −0.0648878 | + | 0.112389i | −0.896644 | − | 0.442752i | \(-0.854002\pi\) |
0.831756 | + | 0.555141i | \(0.187336\pi\) | |||||||
\(62\) | 3.77732e9 | 0.523636 | ||||||||
\(63\) | −6.99991e9 | + | 6.02544e8i | −0.888627 | + | 0.0764920i | ||||
\(64\) | 1.07374e9 | 0.125000 | ||||||||
\(65\) | −5.04558e8 | + | 8.73920e8i | −0.0539371 | + | 0.0934218i | ||||
\(66\) | −5.48776e8 | − | 9.50508e8i | −0.0539391 | − | 0.0934252i | ||||
\(67\) | −1.95943e9 | − | 3.39384e9i | −0.177304 | − | 0.307100i | 0.763652 | − | 0.645628i | \(-0.223404\pi\) |
−0.940956 | + | 0.338528i | \(0.890071\pi\) | |||||||
\(68\) | −3.15743e9 | + | 5.46882e9i | −0.263351 | + | 0.456137i | ||||
\(69\) | 2.43412e9 | 0.187358 | ||||||||
\(70\) | −3.31158e8 | + | 7.07583e8i | −0.0235503 | + | 0.0503197i | ||||
\(71\) | −2.40314e9 | −0.158073 | −0.0790366 | − | 0.996872i | \(-0.525184\pi\) | ||||
−0.0790366 | + | 0.996872i | \(0.525184\pi\) | |||||||
\(72\) | −2.58867e9 | + | 4.48370e9i | −0.157669 | + | 0.273092i | ||||
\(73\) | −1.22579e10 | − | 2.12312e10i | −0.692052 | − | 1.19867i | −0.971164 | − | 0.238411i | \(-0.923373\pi\) |
0.279112 | − | 0.960259i | \(-0.409960\pi\) | |||||||
\(74\) | −8.87419e9 | − | 1.53705e10i | −0.464894 | − | 0.805220i | ||||
\(75\) | −3.35741e9 | + | 5.81520e9i | −0.163368 | + | 0.282962i | ||||
\(76\) | −1.72277e9 | −0.0779386 | ||||||||
\(77\) | −4.67208e9 | + | 9.98281e9i | −0.196703 | + | 0.420295i | ||||
\(78\) | −8.13857e9 | −0.319174 | ||||||||
\(79\) | 1.75728e10 | − | 3.04369e10i | 0.642527 | − | 1.11289i | −0.342340 | − | 0.939576i | \(-0.611219\pi\) |
0.984867 | − | 0.173313i | \(-0.0554473\pi\) | |||||||
\(80\) | 2.87850e8 | + | 4.98571e8i | 0.00982136 | + | 0.0170111i | ||||
\(81\) | −1.07860e10 | − | 1.86819e10i | −0.343711 | − | 0.595325i | ||||
\(82\) | −7.07361e9 | + | 1.22519e10i | −0.210700 | + | 0.364944i | ||||
\(83\) | 6.12728e10 | 1.70741 | 0.853706 | − | 0.520756i | \(-0.174350\pi\) | ||||
0.853706 | + | 0.520756i | \(0.174350\pi\) | |||||||
\(84\) | −6.27754e9 | + | 5.40363e8i | −0.163777 | + | 0.0140977i | ||||
\(85\) | −3.38579e9 | −0.0827667 | ||||||||
\(86\) | −8.18430e9 | + | 1.41756e10i | −0.187603 | + | 0.324938i | ||||
\(87\) | 1.04245e10 | + | 1.80557e10i | 0.224232 | + | 0.388382i | ||||
\(88\) | 4.06108e9 | + | 7.03400e9i | 0.0820327 | + | 0.142085i | ||||
\(89\) | −1.76449e10 | + | 3.05618e10i | −0.334945 | + | 0.580142i | −0.983474 | − | 0.181048i | \(-0.942051\pi\) |
0.648529 | + | 0.761190i | \(0.275384\pi\) | |||||||
\(90\) | −2.77589e9 | −0.0495529 | ||||||||
\(91\) | 4.67849e10 | + | 6.70152e10i | 0.785920 | + | 1.12576i | ||||
\(92\) | −1.80131e10 | −0.284941 | ||||||||
\(93\) | −8.16689e9 | + | 1.41455e10i | −0.121731 | + | 0.210844i | ||||
\(94\) | −1.16747e9 | − | 2.02212e9i | −0.0164075 | − | 0.0284187i | ||||
\(95\) | −4.61842e8 | − | 7.99934e8i | −0.00612370 | − | 0.0106066i | ||||
\(96\) | −2.32152e9 | + | 4.02100e9i | −0.0290590 | + | 0.0503317i | ||||
\(97\) | 1.31739e11 | 1.55765 | 0.778823 | − | 0.627244i | \(-0.215817\pi\) | ||||
0.778823 | + | 0.627244i | \(0.215817\pi\) | |||||||
\(98\) | 4.05362e10 | + | 4.85847e10i | 0.453002 | + | 0.542945i | ||||
\(99\) | −3.91632e10 | −0.413890 | ||||||||
\(100\) | 2.48457e10 | − | 4.30340e10i | 0.248457 | − | 0.430340i | ||||
\(101\) | −8.33062e10 | − | 1.44291e11i | −0.788696 | − | 1.36606i | −0.926766 | − | 0.375639i | \(-0.877423\pi\) |
0.138070 | − | 0.990422i | \(-0.455910\pi\) | |||||||
\(102\) | −1.36533e10 | − | 2.36482e10i | −0.122443 | − | 0.212078i | ||||
\(103\) | −4.04254e10 | + | 7.00188e10i | −0.343597 | + | 0.595128i | −0.985098 | − | 0.171995i | \(-0.944979\pi\) |
0.641501 | + | 0.767122i | \(0.278312\pi\) | |||||||
\(104\) | 6.02275e10 | 0.485413 | ||||||||
\(105\) | −1.93380e9 | − | 2.76999e9i | −0.0147867 | − | 0.0211805i | ||||
\(106\) | −3.58980e10 | −0.260548 | ||||||||
\(107\) | 3.79280e8 | − | 6.56932e8i | 0.00261426 | − | 0.00452804i | −0.864715 | − | 0.502262i | \(-0.832501\pi\) |
0.867330 | + | 0.497734i | \(0.165835\pi\) | |||||||
\(108\) | −2.37442e10 | − | 4.11262e10i | −0.155499 | − | 0.269332i | ||||
\(109\) | −1.07849e11 | − | 1.86799e11i | −0.671381 | − | 1.16287i | −0.977513 | − | 0.210877i | \(-0.932368\pi\) |
0.306131 | − | 0.951989i | \(-0.400965\pi\) | |||||||
\(110\) | −2.17740e9 | + | 3.77137e9i | −0.0128908 | + | 0.0223275i | ||||
\(111\) | 7.67471e10 | 0.432300 | ||||||||
\(112\) | 4.64554e10 | − | 3.99882e9i | 0.249079 | − | 0.0214404i | ||||
\(113\) | −3.70803e11 | −1.89327 | −0.946634 | − | 0.322311i | \(-0.895540\pi\) | ||||
−0.946634 | + | 0.322311i | \(0.895540\pi\) | |||||||
\(114\) | 3.72478e9 | − | 6.45151e9i | 0.0181186 | − | 0.0313823i | ||||
\(115\) | −4.82897e9 | − | 8.36403e9i | −0.0223881 | − | 0.0387773i | ||||
\(116\) | −7.71437e10 | − | 1.33617e11i | −0.341021 | − | 0.590666i | ||||
\(117\) | −1.45201e11 | + | 2.51496e11i | −0.612278 | + | 1.06050i | ||||
\(118\) | 2.84651e11 | 1.14541 | ||||||||
\(119\) | −1.16239e11 | + | 2.48367e11i | −0.446523 | + | 0.954083i | ||||
\(120\) | −2.48943e9 | −0.00913278 | ||||||||
\(121\) | 1.11936e11 | − | 1.93879e11i | 0.392330 | − | 0.679536i | ||||
\(122\) | 1.36971e10 | + | 2.37240e10i | 0.0458826 | + | 0.0794710i | ||||
\(123\) | −3.05875e10 | − | 5.29792e10i | −0.0979640 | − | 0.169679i | ||||
\(124\) | 6.04371e10 | − | 1.04680e11i | 0.185133 | − | 0.320660i | ||||
\(125\) | 5.34508e10 | 0.156657 | ||||||||
\(126\) | −9.53004e10 | + | 2.03628e11i | −0.267336 | + | 0.571215i | ||||
\(127\) | 6.98521e11 | 1.87611 | 0.938056 | − | 0.346483i | \(-0.112624\pi\) | ||||
0.938056 | + | 0.346483i | \(0.112624\pi\) | |||||||
\(128\) | 1.71799e10 | − | 2.97564e10i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | −3.53904e10 | − | 6.12979e10i | −0.0872251 | − | 0.151078i | ||||
\(130\) | 1.61459e10 | + | 2.79654e10i | 0.0381393 | + | 0.0660592i | ||||
\(131\) | −2.14194e11 | + | 3.70996e11i | −0.485083 | + | 0.840189i | −0.999853 | − | 0.0171397i | \(-0.994544\pi\) |
0.514770 | + | 0.857328i | \(0.327877\pi\) | |||||||
\(132\) | −3.51217e10 | −0.0762814 | ||||||||
\(133\) | −7.45355e10 | + | 6.41593e9i | −0.155303 | + | 0.0133683i | ||||
\(134\) | −1.25404e11 | −0.250746 | ||||||||
\(135\) | 1.27308e10 | − | 2.20503e10i | 0.0244354 | − | 0.0423233i | ||||
\(136\) | 1.01038e11 | + | 1.75002e11i | 0.186217 | + | 0.322537i | ||||
\(137\) | −2.06541e11 | − | 3.57739e11i | −0.365631 | − | 0.633291i | 0.623247 | − | 0.782025i | \(-0.285813\pi\) |
−0.988877 | + | 0.148735i | \(0.952480\pi\) | |||||||
\(138\) | 3.89459e10 | − | 6.74563e10i | 0.0662410 | − | 0.114733i | ||||
\(139\) | 1.20077e12 | 1.96280 | 0.981402 | − | 0.191965i | \(-0.0614861\pi\) | ||||
0.981402 | + | 0.191965i | \(0.0614861\pi\) | |||||||
\(140\) | 1.43106e10 | + | 2.04986e10i | 0.0224881 | + | 0.0322122i | ||||
\(141\) | 1.00967e10 | 0.0152572 | ||||||||
\(142\) | −3.84502e10 | + | 6.65978e10i | −0.0558873 | + | 0.0967996i | ||||
\(143\) | 2.27791e11 | + | 3.94546e11i | 0.318558 | + | 0.551758i | ||||
\(144\) | 8.28374e10 | + | 1.43479e11i | 0.111489 | + | 0.193105i | ||||
\(145\) | 4.13616e10 | − | 7.16404e10i | 0.0535887 | − | 0.0928183i | ||||
\(146\) | −7.84503e11 | −0.978710 | ||||||||
\(147\) | −2.69585e11 | + | 4.67576e10i | −0.323929 | + | 0.0561832i | ||||
\(148\) | −5.67948e11 | −0.657460 | ||||||||
\(149\) | 3.73691e11 | − | 6.47251e11i | 0.416858 | − | 0.722019i | −0.578764 | − | 0.815495i | \(-0.696465\pi\) |
0.995621 | + | 0.0934765i | \(0.0297980\pi\) | |||||||
\(150\) | 1.07437e11 | + | 1.86086e11i | 0.115519 | + | 0.200084i | ||||
\(151\) | −1.85358e10 | − | 3.21049e10i | −0.0192149 | − | 0.0332812i | 0.856258 | − | 0.516548i | \(-0.172783\pi\) |
−0.875473 | + | 0.483267i | \(0.839450\pi\) | |||||||
\(152\) | −2.75643e10 | + | 4.77428e10i | −0.0275554 | + | 0.0477274i | ||||
\(153\) | −9.74361e11 | −0.939544 | ||||||||
\(154\) | 2.01899e11 | + | 2.89201e11i | 0.187832 | + | 0.269052i | ||||
\(155\) | 6.48082e10 | 0.0581843 | ||||||||
\(156\) | −1.30217e11 | + | 2.25543e11i | −0.112845 | + | 0.195453i | ||||
\(157\) | −1.90703e11 | − | 3.30307e11i | −0.159554 | − | 0.276356i | 0.775154 | − | 0.631773i | \(-0.217672\pi\) |
−0.934708 | + | 0.355416i | \(0.884339\pi\) | |||||||
\(158\) | −5.62329e11 | − | 9.73982e11i | −0.454335 | − | 0.786932i | ||||
\(159\) | 7.76146e10 | − | 1.34432e11i | 0.0605702 | − | 0.104911i | ||||
\(160\) | 1.84224e10 | 0.0138895 | ||||||||
\(161\) | −7.79336e11 | + | 6.70843e10i | −0.567783 | + | 0.0488741i | ||||
\(162\) | −6.90305e11 | −0.486081 | ||||||||
\(163\) | 3.95346e11 | − | 6.84758e11i | 0.269119 | − | 0.466128i | −0.699515 | − | 0.714618i | \(-0.746601\pi\) |
0.968635 | + | 0.248489i | \(0.0799340\pi\) | |||||||
\(164\) | 2.26356e11 | + | 3.92059e11i | 0.148988 | + | 0.258054i | ||||
\(165\) | −9.41546e9 | − | 1.63081e10i | −0.00599349 | − | 0.0103810i | ||||
\(166\) | 9.80365e11 | − | 1.69804e12i | 0.603661 | − | 1.04557i | ||||
\(167\) | −1.69644e12 | −1.01064 | −0.505320 | − | 0.862932i | \(-0.668626\pi\) | ||||
−0.505320 | + | 0.862932i | \(0.668626\pi\) | |||||||
\(168\) | −8.54656e10 | + | 1.82614e11i | −0.0492709 | + | 0.105277i | ||||
\(169\) | 1.58607e12 | 0.885005 | ||||||||
\(170\) | −5.41726e10 | + | 9.38297e10i | −0.0292625 | + | 0.0506841i | ||||
\(171\) | −1.32909e11 | − | 2.30205e11i | −0.0695144 | − | 0.120403i | ||||
\(172\) | 2.61898e11 | + | 4.53620e11i | 0.132656 | + | 0.229766i | ||||
\(173\) | −3.01944e11 | + | 5.22983e11i | −0.148140 | + | 0.256587i | −0.930540 | − | 0.366190i | \(-0.880662\pi\) |
0.782400 | + | 0.622776i | \(0.213995\pi\) | |||||||
\(174\) | 6.67166e11 | 0.317112 | ||||||||
\(175\) | 9.14680e11 | − | 1.95439e12i | 0.421269 | − | 0.900124i | ||||
\(176\) | 2.59909e11 | 0.116012 | ||||||||
\(177\) | −6.15439e11 | + | 1.06597e12i | −0.266276 | + | 0.461204i | ||||
\(178\) | 5.64636e11 | + | 9.77979e11i | 0.236842 | + | 0.410222i | ||||
\(179\) | 2.43231e12 | + | 4.21288e12i | 0.989296 | + | 1.71351i | 0.621019 | + | 0.783796i | \(0.286719\pi\) |
0.368278 | + | 0.929716i | \(0.379948\pi\) | |||||||
\(180\) | −4.44143e10 | + | 7.69278e10i | −0.0175196 | + | 0.0303448i | ||||
\(181\) | −1.27259e12 | −0.486919 | −0.243459 | − | 0.969911i | \(-0.578282\pi\) | ||||
−0.243459 | + | 0.969911i | \(0.578282\pi\) | |||||||
\(182\) | 2.60574e12 | − | 2.24299e11i | 0.967249 | − | 0.0832596i | ||||
\(183\) | −1.18457e11 | −0.0426658 | ||||||||
\(184\) | −2.88210e11 | + | 4.99194e11i | −0.100742 | + | 0.174490i | ||||
\(185\) | −1.52256e11 | − | 2.63715e11i | −0.0516572 | − | 0.0894728i | ||||
\(186\) | 2.61341e11 | + | 4.52655e11i | 0.0860767 | + | 0.149089i | ||||
\(187\) | −7.64285e11 | + | 1.32378e12i | −0.244414 | + | 0.423338i | ||||
\(188\) | −7.47182e10 | −0.0232038 | ||||||||
\(189\) | −1.18046e12 | − | 1.69090e12i | −0.356049 | − | 0.510008i | ||||
\(190\) | −2.95579e10 | −0.00866022 | ||||||||
\(191\) | −2.02464e12 | + | 3.50677e12i | −0.576320 | + | 0.998216i | 0.419577 | + | 0.907720i | \(0.362178\pi\) |
−0.995897 | + | 0.0904958i | \(0.971155\pi\) | |||||||
\(192\) | 7.42888e10 | + | 1.28672e11i | 0.0205478 | + | 0.0355899i | ||||
\(193\) | 2.25493e12 | + | 3.90565e12i | 0.606133 | + | 1.04985i | 0.991871 | + | 0.127244i | \(0.0406132\pi\) |
−0.385739 | + | 0.922608i | \(0.626053\pi\) | |||||||
\(194\) | 2.10782e12 | − | 3.65085e12i | 0.550711 | − | 0.953859i | ||||
\(195\) | −1.39635e11 | −0.0354653 | ||||||||
\(196\) | 1.99500e12 | − | 3.46018e11i | 0.492645 | − | 0.0854457i | ||||
\(197\) | 4.24499e12 | 1.01932 | 0.509662 | − | 0.860374i | \(-0.329770\pi\) | ||||
0.509662 | + | 0.860374i | \(0.329770\pi\) | |||||||
\(198\) | −6.26611e11 | + | 1.08532e12i | −0.146332 | + | 0.253455i | ||||
\(199\) | −3.45495e12 | − | 5.98414e12i | −0.784783 | − | 1.35928i | −0.929129 | − | 0.369756i | \(-0.879441\pi\) |
0.144346 | − | 0.989527i | \(-0.453892\pi\) | |||||||
\(200\) | −7.95061e11 | − | 1.37709e12i | −0.175685 | − | 0.304296i | ||||
\(201\) | 2.71134e11 | − | 4.69617e11i | 0.0582915 | − | 0.100964i | ||||
\(202\) | −5.33160e12 | −1.11538 | ||||||||
\(203\) | −3.83524e12 | − | 5.49363e12i | −0.780843 | − | 1.11849i | ||||
\(204\) | −8.73809e11 | −0.173161 | ||||||||
\(205\) | −1.21363e11 | + | 2.10208e11i | −0.0234122 | + | 0.0405511i | ||||
\(206\) | 1.29361e12 | + | 2.24060e12i | 0.242960 | + | 0.420819i | ||||
\(207\) | −1.38968e12 | − | 2.40700e12i | −0.254143 | − | 0.440188i | ||||
\(208\) | 9.63639e11 | − | 1.66907e12i | 0.171619 | − | 0.297253i | ||||
\(209\) | −4.17013e11 | −0.0723344 | ||||||||
\(210\) | −1.07705e11 | + | 9.27112e9i | −0.0181983 | + | 0.00156648i | ||||
\(211\) | −1.62122e12 | −0.266863 | −0.133431 | − | 0.991058i | \(-0.542600\pi\) | ||||
−0.133431 | + | 0.991058i | \(0.542600\pi\) | |||||||
\(212\) | −5.74368e11 | + | 9.94834e11i | −0.0921177 | + | 0.159552i | ||||
\(213\) | −1.66266e11 | − | 2.87980e11i | −0.0259845 | − | 0.0450065i | ||||
\(214\) | −1.21370e10 | − | 2.10218e10i | −0.00184856 | − | 0.00320180i | ||||
\(215\) | −1.40420e11 | + | 2.43214e11i | −0.0208457 | + | 0.0361058i | ||||
\(216\) | −1.51963e12 | −0.219909 | ||||||||
\(217\) | 2.22496e12 | − | 4.75406e12i | 0.313901 | − | 0.670712i | ||||
\(218\) | −6.90232e12 | −0.949477 | ||||||||
\(219\) | 1.69616e12 | − | 2.93784e12i | 0.227523 | − | 0.394081i | ||||
\(220\) | 6.96768e10 | + | 1.20684e11i | 0.00911514 | + | 0.0157879i | ||||
\(221\) | 5.66732e12 | + | 9.81609e12i | 0.723137 | + | 1.25251i | ||||
\(222\) | 1.22795e12 | − | 2.12688e12i | 0.152841 | − | 0.264729i | ||||
\(223\) | −3.36059e12 | −0.408074 | −0.204037 | − | 0.978963i | \(-0.565406\pi\) | ||||
−0.204037 | + | 0.978963i | \(0.565406\pi\) | |||||||
\(224\) | 6.32468e11 | − | 1.35139e12i | 0.0749332 | − | 0.160109i | ||||
\(225\) | 7.66720e12 | 0.886407 | ||||||||
\(226\) | −5.93285e12 | + | 1.02760e13i | −0.669371 | + | 1.15939i | ||||
\(227\) | 1.03730e12 | + | 1.79666e12i | 0.114225 | + | 0.197844i | 0.917470 | − | 0.397806i | \(-0.130228\pi\) |
−0.803245 | + | 0.595649i | \(0.796895\pi\) | |||||||
\(228\) | −1.19193e11 | − | 2.06448e11i | −0.0128118 | − | 0.0221906i | ||||
\(229\) | −1.71857e12 | + | 2.97666e12i | −0.180332 | + | 0.312344i | −0.941994 | − | 0.335631i | \(-0.891051\pi\) |
0.761662 | + | 0.647975i | \(0.224384\pi\) | |||||||
\(230\) | −3.09054e11 | −0.0316615 | ||||||||
\(231\) | −1.51954e12 | + | 1.30800e11i | −0.152001 | + | 0.0130840i | ||||
\(232\) | −4.93720e12 | −0.482277 | ||||||||
\(233\) | 4.57239e11 | − | 7.91961e11i | 0.0436200 | − | 0.0755520i | −0.843391 | − | 0.537300i | \(-0.819444\pi\) |
0.887011 | + | 0.461748i | \(0.152778\pi\) | |||||||
\(234\) | 4.64645e12 | + | 8.04788e12i | 0.432946 | + | 0.749885i | ||||
\(235\) | −2.00306e10 | − | 3.46939e10i | −0.00182314 | − | 0.00315777i | ||||
\(236\) | 4.55441e12 | − | 7.88847e12i | 0.404964 | − | 0.701417i | ||||
\(237\) | 4.86322e12 | 0.422482 | ||||||||
\(238\) | 5.02313e12 | + | 7.19519e12i | 0.426385 | + | 0.610757i | ||||
\(239\) | 1.55301e13 | 1.28820 | 0.644102 | − | 0.764939i | \(-0.277231\pi\) | ||||
0.644102 | + | 0.764939i | \(0.277231\pi\) | |||||||
\(240\) | −3.98309e10 | + | 6.89891e10i | −0.00322892 | + | 0.00559266i | ||||
\(241\) | 1.21702e12 | + | 2.10793e12i | 0.0964279 | + | 0.167018i | 0.910204 | − | 0.414161i | \(-0.135925\pi\) |
−0.813776 | + | 0.581179i | \(0.802592\pi\) | |||||||
\(242\) | −3.58196e12 | − | 6.20414e12i | −0.277419 | − | 0.480504i | ||||
\(243\) | 5.60014e12 | − | 9.69972e12i | 0.423998 | − | 0.734387i | ||||
\(244\) | 8.76612e11 | 0.0648878 | ||||||||
\(245\) | 6.95488e11 | + | 8.33577e11i | 0.0503357 | + | 0.0603299i | ||||
\(246\) | −1.95760e12 | −0.138542 | ||||||||
\(247\) | −1.54612e12 | + | 2.67795e12i | −0.107006 | + | 0.185340i | ||||
\(248\) | −1.93399e12 | − | 3.34976e12i | −0.130909 | − | 0.226741i | ||||
\(249\) | 4.23927e12 | + | 7.34263e12i | 0.280669 | + | 0.486133i | ||||
\(250\) | 8.55212e11 | − | 1.48127e12i | 0.0553865 | − | 0.0959322i | ||||
\(251\) | −9.98228e12 | −0.632447 | −0.316224 | − | 0.948685i | \(-0.602415\pi\) | ||||
−0.316224 | + | 0.948685i | \(0.602415\pi\) | |||||||
\(252\) | 4.11830e12 | + | 5.89909e12i | 0.255279 | + | 0.365664i | ||||
\(253\) | −4.36024e12 | −0.264452 | ||||||||
\(254\) | 1.11763e13 | − | 1.93580e13i | 0.663306 | − | 1.14888i | ||||
\(255\) | −2.34252e11 | − | 4.05736e11i | −0.0136054 | − | 0.0235653i | ||||
\(256\) | −5.49756e11 | − | 9.52205e11i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −1.49652e13 | + | 2.59206e13i | −0.832629 | + | 1.44216i | 0.0633165 | + | 0.997993i | \(0.479832\pi\) |
−0.895946 | + | 0.444163i | \(0.853501\pi\) | |||||||
\(258\) | −2.26498e12 | −0.123355 | ||||||||
\(259\) | −2.45722e13 | + | 2.11515e12i | −1.31007 | + | 0.112770i | ||||
\(260\) | 1.03333e12 | 0.0539371 | ||||||||
\(261\) | 1.19030e13 | − | 2.06166e13i | 0.608323 | − | 1.05365i | ||||
\(262\) | 6.85422e12 | + | 1.18719e13i | 0.343006 | + | 0.594103i | ||||
\(263\) | −1.41247e13 | − | 2.44647e13i | −0.692184 | − | 1.19890i | −0.971121 | − | 0.238589i | \(-0.923315\pi\) |
0.278936 | − | 0.960310i | \(-0.410018\pi\) | |||||||
\(264\) | −5.61947e11 | + | 9.73320e11i | −0.0269695 | + | 0.0467126i | ||||
\(265\) | −6.15909e11 | −0.0289511 | ||||||||
\(266\) | −1.01477e12 | + | 2.16824e12i | −0.0467215 | + | 0.0998296i | ||||
\(267\) | −4.88317e12 | −0.220237 | ||||||||
\(268\) | −2.00646e12 | + | 3.47529e12i | −0.0886521 | + | 0.153550i | ||||
\(269\) | −2.49399e12 | − | 4.31972e12i | −0.107959 | − | 0.186990i | 0.806984 | − | 0.590573i | \(-0.201098\pi\) |
−0.914943 | + | 0.403583i | \(0.867765\pi\) | |||||||
\(270\) | −4.07385e11 | − | 7.05611e11i | −0.0172784 | − | 0.0299271i | ||||
\(271\) | −1.77202e13 | + | 3.06924e13i | −0.736442 | + | 1.27555i | 0.217646 | + | 0.976028i | \(0.430162\pi\) |
−0.954088 | + | 0.299527i | \(0.903171\pi\) | |||||||
\(272\) | 6.46641e12 | 0.263351 | ||||||||
\(273\) | −4.79387e12 | + | 1.02430e13i | −0.191334 | + | 0.408822i | ||||
\(274\) | −1.32186e13 | −0.517080 | ||||||||
\(275\) | 6.01413e12 | − | 1.04168e13i | 0.230591 | − | 0.399396i | ||||
\(276\) | −1.24627e12 | − | 2.15860e12i | −0.0468394 | − | 0.0811283i | ||||
\(277\) | −1.34967e13 | − | 2.33770e13i | −0.497266 | − | 0.861290i | 0.502729 | − | 0.864444i | \(-0.332329\pi\) |
−0.999995 | + | 0.00315412i | \(0.998996\pi\) | |||||||
\(278\) | 1.92122e13 | − | 3.32766e13i | 0.693956 | − | 1.20197i | ||||
\(279\) | 1.86505e13 | 0.660491 | ||||||||
\(280\) | 7.97044e11 | − | 6.86086e10i | 0.0276766 | − | 0.00238237i | ||||
\(281\) | −2.36038e12 | −0.0803707 | −0.0401853 | − | 0.999192i | \(-0.512795\pi\) | ||||
−0.0401853 | + | 0.999192i | \(0.512795\pi\) | |||||||
\(282\) | 1.61547e11 | − | 2.79808e11i | 0.00539423 | − | 0.00934309i | ||||
\(283\) | −1.33227e13 | − | 2.30755e13i | −0.436280 | − | 0.755660i | 0.561119 | − | 0.827735i | \(-0.310371\pi\) |
−0.997399 | + | 0.0720756i | \(0.977038\pi\) | |||||||
\(284\) | 1.23041e12 | + | 2.13113e12i | 0.0395183 | + | 0.0684477i | ||||
\(285\) | 6.39068e10 | − | 1.10690e11i | 0.00201326 | − | 0.00348707i | ||||
\(286\) | 1.45786e13 | 0.450509 | ||||||||
\(287\) | 1.12534e13 | + | 1.61194e13i | 0.341140 | + | 0.488652i | ||||
\(288\) | 5.30159e12 | 0.157669 | ||||||||
\(289\) | −1.87907e12 | + | 3.25465e12i | −0.0548283 | + | 0.0949654i | ||||
\(290\) | −1.32357e12 | − | 2.29249e12i | −0.0378929 | − | 0.0656325i | ||||
\(291\) | 9.11457e12 | + | 1.57869e13i | 0.256050 | + | 0.443492i | ||||
\(292\) | −1.25521e13 | + | 2.17408e13i | −0.346026 | + | 0.599335i | ||||
\(293\) | 2.94411e13 | 0.796494 | 0.398247 | − | 0.917278i | \(-0.369619\pi\) | ||||
0.398247 | + | 0.917278i | \(0.369619\pi\) | |||||||
\(294\) | −3.01758e12 | + | 8.21908e12i | −0.0801213 | + | 0.218229i | ||||
\(295\) | 4.88381e12 | 0.127273 | ||||||||
\(296\) | −9.08717e12 | + | 1.57394e13i | −0.232447 | + | 0.402610i | ||||
\(297\) | −5.74752e12 | − | 9.95499e12i | −0.144318 | − | 0.249966i | ||||
\(298\) | −1.19581e13 | − | 2.07120e13i | −0.294763 | − | 0.510544i | ||||
\(299\) | −1.61660e13 | + | 2.80004e13i | −0.391211 | + | 0.677598i | ||||
\(300\) | 6.87597e12 | 0.163368 | ||||||||
\(301\) | 1.30204e13 | + | 1.86505e13i | 0.303744 | + | 0.435086i | ||||
\(302\) | −1.18629e12 | −0.0271740 | ||||||||
\(303\) | 1.15274e13 | − | 1.99660e13i | 0.259296 | − | 0.449114i | ||||
\(304\) | 8.82058e11 | + | 1.52777e12i | 0.0194846 | + | 0.0337484i | ||||
\(305\) | 2.35003e11 | + | 4.07037e11i | 0.00509829 | + | 0.00883050i | ||||
\(306\) | −1.55898e13 | + | 2.70023e13i | −0.332179 | + | 0.575351i | ||||
\(307\) | 9.24654e13 | 1.93517 | 0.967583 | − | 0.252553i | \(-0.0812702\pi\) | ||||
0.967583 | + | 0.252553i | \(0.0812702\pi\) | |||||||
\(308\) | 1.12450e13 | − | 9.67953e11i | 0.231169 | − | 0.0198987i | ||||
\(309\) | −1.11876e13 | −0.225926 | ||||||||
\(310\) | 1.03693e12 | − | 1.79602e12i | 0.0205712 | − | 0.0356304i | ||||
\(311\) | 3.78378e13 | + | 6.55370e13i | 0.737469 | + | 1.27733i | 0.953632 | + | 0.300976i | \(0.0973124\pi\) |
−0.216163 | + | 0.976357i | \(0.569354\pi\) | |||||||
\(312\) | 4.16695e12 | + | 7.21736e12i | 0.0797935 | + | 0.138206i | ||||
\(313\) | 1.53315e13 | − | 2.65550e13i | 0.288464 | − | 0.499634i | −0.684979 | − | 0.728563i | \(-0.740189\pi\) |
0.973443 | + | 0.228928i | \(0.0735221\pi\) | |||||||
\(314\) | −1.22050e13 | −0.225644 | ||||||||
\(315\) | −1.63509e12 | + | 3.49369e12i | −0.0297052 | + | 0.0634711i | ||||
\(316\) | −3.59891e13 | −0.642527 | ||||||||
\(317\) | −1.37012e13 | + | 2.37312e13i | −0.240399 | + | 0.416383i | −0.960828 | − | 0.277146i | \(-0.910612\pi\) |
0.720429 | + | 0.693529i | \(0.243945\pi\) | |||||||
\(318\) | −2.48367e12 | − | 4.30184e12i | −0.0428296 | − | 0.0741831i | ||||
\(319\) | −1.86734e13 | − | 3.23432e13i | −0.316500 | − | 0.548194i | ||||
\(320\) | 2.94758e11 | − | 5.10537e11i | 0.00491068 | − | 0.00850554i | ||||
\(321\) | 1.04965e11 | 0.00171896 | ||||||||
\(322\) | −1.06103e13 | + | 2.26709e13i | −0.170812 | + | 0.364974i | ||||
\(323\) | −1.03751e13 | −0.164201 | ||||||||
\(324\) | −1.10449e13 | + | 1.91303e13i | −0.171856 | + | 0.297663i | ||||
\(325\) | −4.45959e13 | − | 7.72424e13i | −0.682239 | − | 1.18167i | ||||
\(326\) | −1.26511e13 | − | 2.19123e13i | −0.190296 | − | 0.329603i | ||||
\(327\) | 1.49234e13 | − | 2.58481e13i | 0.220727 | − | 0.382311i | ||||
\(328\) | 1.44868e13 | 0.210700 | ||||||||
\(329\) | −3.23268e12 | + | 2.78265e11i | −0.0462365 | + | 0.00397999i | ||||
\(330\) | −6.02590e11 | −0.00847608 | ||||||||
\(331\) | −1.31791e13 | + | 2.28269e13i | −0.182319 | + | 0.315786i | −0.942670 | − | 0.333727i | \(-0.891694\pi\) |
0.760351 | + | 0.649513i | \(0.225027\pi\) | |||||||
\(332\) | −3.13717e13 | − | 5.43373e13i | −0.426853 | − | 0.739331i | ||||
\(333\) | −4.38162e13 | − | 7.58919e13i | −0.586397 | − | 1.01567i | ||||
\(334\) | −2.71430e13 | + | 4.70130e13i | −0.357315 | + | 0.618889i | ||||
\(335\) | −2.15158e12 | −0.0278619 | ||||||||
\(336\) | 3.69330e12 | + | 5.29032e12i | 0.0470488 | + | 0.0673932i | ||||
\(337\) | −4.52730e13 | −0.567380 | −0.283690 | − | 0.958916i | \(-0.591559\pi\) | ||||
−0.283690 | + | 0.958916i | \(0.591559\pi\) | |||||||
\(338\) | 2.53771e13 | − | 4.39545e13i | 0.312896 | − | 0.541952i | ||||
\(339\) | −2.56547e13 | − | 4.44352e13i | −0.311221 | − | 0.539050i | ||||
\(340\) | 1.73352e12 | + | 3.00255e12i | 0.0206917 | + | 0.0358390i | ||||
\(341\) | 1.46294e13 | − | 2.53388e13i | 0.171821 | − | 0.297603i | ||||
\(342\) | −8.50616e12 | −0.0983083 | ||||||||
\(343\) | 8.50248e13 | − | 2.24002e13i | 0.967004 | − | 0.254762i | ||||
\(344\) | 1.67615e13 | 0.187603 | ||||||||
\(345\) | 6.68203e11 | − | 1.15736e12i | 0.00736043 | − | 0.0127486i | ||||
\(346\) | 9.66222e12 | + | 1.67355e13i | 0.104751 | + | 0.181434i | ||||
\(347\) | 4.82957e13 | + | 8.36506e13i | 0.515343 | + | 0.892600i | 0.999841 | + | 0.0178080i | \(0.00566875\pi\) |
−0.484499 | + | 0.874792i | \(0.660998\pi\) | |||||||
\(348\) | 1.06747e13 | − | 1.84890e13i | 0.112116 | − | 0.194191i | ||||
\(349\) | −7.94783e13 | −0.821691 | −0.410846 | − | 0.911705i | \(-0.634766\pi\) | ||||
−0.410846 | + | 0.911705i | \(0.634766\pi\) | |||||||
\(350\) | −3.95268e13 | − | 5.66186e13i | −0.402270 | − | 0.576216i | ||||
\(351\) | −8.52379e13 | −0.853972 | ||||||||
\(352\) | 4.15855e12 | − | 7.20282e12i | 0.0410164 | − | 0.0710424i | ||||
\(353\) | 2.03908e13 | + | 3.53179e13i | 0.198004 | + | 0.342952i | 0.947881 | − | 0.318625i | \(-0.103221\pi\) |
−0.749877 | + | 0.661577i | \(0.769888\pi\) | |||||||
\(354\) | 1.96941e13 | + | 3.41111e13i | 0.188286 | + | 0.326120i | ||||
\(355\) | −6.59698e11 | + | 1.14263e12i | −0.00620997 | + | 0.0107560i | ||||
\(356\) | 3.61367e13 | 0.334945 | ||||||||
\(357\) | −3.78053e13 | + | 3.25424e12i | −0.345047 | + | 0.0297012i | ||||
\(358\) | 1.55668e14 | 1.39908 | ||||||||
\(359\) | −6.14334e13 | + | 1.06406e14i | −0.543732 | + | 0.941772i | 0.454953 | + | 0.890515i | \(0.349656\pi\) |
−0.998686 | + | 0.0512563i | \(0.983677\pi\) | |||||||
\(360\) | 1.42126e12 | + | 2.46169e12i | 0.0123882 | + | 0.0214570i | ||||
\(361\) | 5.68299e13 | + | 9.84323e13i | 0.487851 | + | 0.844983i | ||||
\(362\) | −2.03614e13 | + | 3.52671e13i | −0.172152 | + | 0.298176i | ||||
\(363\) | 3.09781e13 | 0.257969 | ||||||||
\(364\) | 3.54759e13 | − | 7.58011e13i | 0.290988 | − | 0.621753i | ||||
\(365\) | −1.34599e13 | −0.108750 | ||||||||
\(366\) | −1.89531e12 | + | 3.28278e12i | −0.0150846 | + | 0.0261273i | ||||
\(367\) | 6.83335e13 | + | 1.18357e14i | 0.535760 | + | 0.927963i | 0.999126 | + | 0.0417963i | \(0.0133081\pi\) |
−0.463366 | + | 0.886167i | \(0.653359\pi\) | |||||||
\(368\) | 9.22271e12 | + | 1.59742e13i | 0.0712353 | + | 0.123383i | ||||
\(369\) | −3.49259e13 | + | 6.04934e13i | −0.265768 | + | 0.460324i | ||||
\(370\) | −9.74440e12 | −0.0730543 | ||||||||
\(371\) | −2.11450e13 | + | 4.51805e13i | −0.156190 | + | 0.333730i | ||||
\(372\) | 1.67258e13 | 0.121731 | ||||||||
\(373\) | 1.14678e14 | − | 1.98629e14i | 0.822400 | − | 1.42444i | −0.0814906 | − | 0.996674i | \(-0.525968\pi\) |
0.903890 | − | 0.427764i | \(-0.140699\pi\) | |||||||
\(374\) | 2.44571e13 | + | 4.23610e13i | 0.172827 | + | 0.299345i | ||||
\(375\) | 3.69809e12 | + | 6.40527e12i | 0.0257517 | + | 0.0446032i | ||||
\(376\) | −1.19549e12 | + | 2.07065e12i | −0.00820377 | + | 0.0142093i | ||||
\(377\) | −2.76933e14 | −1.87283 | ||||||||
\(378\) | −6.57468e13 | + | 5.65940e12i | −0.438197 | + | 0.0377195i | ||||
\(379\) | 1.88377e14 | 1.23741 | 0.618704 | − | 0.785625i | \(-0.287658\pi\) | ||||
0.618704 | + | 0.785625i | \(0.287658\pi\) | |||||||
\(380\) | −4.72926e11 | + | 8.19133e11i | −0.00306185 | + | 0.00530328i | ||||
\(381\) | 4.83284e13 | + | 8.37073e13i | 0.308401 | + | 0.534166i | ||||
\(382\) | 6.47884e13 | + | 1.12217e14i | 0.407520 | + | 0.705845i | ||||
\(383\) | 1.32028e14 | − | 2.28679e14i | 0.818603 | − | 1.41786i | −0.0881087 | − | 0.996111i | \(-0.528082\pi\) |
0.906712 | − | 0.421751i | \(-0.138584\pi\) | |||||||
\(384\) | 4.75448e12 | 0.0290590 | ||||||||
\(385\) | 3.46401e12 | + | 4.96189e12i | 0.0208711 | + | 0.0298960i | ||||
\(386\) | 1.44315e14 | 0.857201 | ||||||||
\(387\) | −4.04099e13 | + | 6.99921e13i | −0.236634 | + | 0.409863i | ||||
\(388\) | −6.74502e13 | − | 1.16827e14i | −0.389411 | − | 0.674480i | ||||
\(389\) | −2.60084e12 | − | 4.50479e12i | −0.0148044 | − | 0.0256420i | 0.858528 | − | 0.512766i | \(-0.171379\pi\) |
−0.873333 | + | 0.487124i | \(0.838046\pi\) | |||||||
\(390\) | −2.23416e12 | + | 3.86968e12i | −0.0125389 | + | 0.0217180i | ||||
\(391\) | −1.08481e14 | −0.600316 | ||||||||
\(392\) | 2.23308e13 | − | 6.08233e13i | 0.121852 | − | 0.331892i | ||||
\(393\) | −5.92777e13 | −0.318957 | ||||||||
\(394\) | 6.79199e13 | − | 1.17641e14i | 0.360386 | − | 0.624206i | ||||
\(395\) | −9.64799e12 | − | 1.67108e13i | −0.0504839 | − | 0.0874407i | ||||
\(396\) | 2.00516e13 | + | 3.47303e13i | 0.103472 | + | 0.179220i | ||||
\(397\) | 1.39381e14 | − | 2.41414e14i | 0.709340 | − | 1.22861i | −0.255762 | − | 0.966740i | \(-0.582326\pi\) |
0.965102 | − | 0.261873i | \(-0.0843402\pi\) | |||||||
\(398\) | −2.21117e14 | −1.10985 | ||||||||
\(399\) | −5.92573e12 | − | 8.48807e12i | −0.0293353 | − | 0.0420202i | ||||
\(400\) | −5.08839e13 | −0.248457 | ||||||||
\(401\) | −1.44350e14 | + | 2.50021e14i | −0.695219 | + | 1.20416i | 0.274887 | + | 0.961476i | \(0.411359\pi\) |
−0.970107 | + | 0.242679i | \(0.921974\pi\) | |||||||
\(402\) | −8.67628e12 | − | 1.50278e13i | −0.0412183 | − | 0.0713922i | ||||
\(403\) | −1.08480e14 | − | 1.87892e14i | −0.508359 | − | 0.880503i | ||||
\(404\) | −8.53055e13 | + | 1.47754e14i | −0.394348 | + | 0.683031i | ||||
\(405\) | −1.18437e13 | −0.0540114 | ||||||||
\(406\) | −2.13608e14 | + | 1.83871e13i | −0.961001 | + | 0.0827218i | ||||
\(407\) | −1.37477e14 | −0.610185 | ||||||||
\(408\) | −1.39809e13 | + | 2.42157e13i | −0.0612217 | + | 0.106039i | ||||
\(409\) | 1.65770e14 | + | 2.87123e14i | 0.716191 | + | 1.24048i | 0.962498 | + | 0.271287i | \(0.0874494\pi\) |
−0.246307 | + | 0.969192i | \(0.579217\pi\) | |||||||
\(410\) | 3.88363e12 | + | 6.72664e12i | 0.0165549 | + | 0.0286739i | ||||
\(411\) | 2.85798e13 | − | 4.95016e13i | 0.120207 | − | 0.208204i | ||||
\(412\) | 8.27912e13 | 0.343597 | ||||||||
\(413\) | 1.67668e14 | − | 3.58256e14i | 0.686634 | − | 1.46713i | ||||
\(414\) | −8.89395e13 | −0.359412 | ||||||||
\(415\) | 1.68203e13 | − | 2.91336e13i | 0.0670764 | − | 0.116180i | ||||
\(416\) | −3.08365e13 | − | 5.34103e13i | −0.121353 | − | 0.210190i | ||||
\(417\) | 8.30771e13 | + | 1.43894e14i | 0.322651 | + | 0.558848i | ||||
\(418\) | −6.67220e12 | + | 1.15566e13i | −0.0255741 | + | 0.0442956i | ||||
\(419\) | −3.88951e14 | −1.47136 | −0.735679 | − | 0.677330i | \(-0.763137\pi\) | ||||
−0.735679 | + | 0.677330i | \(0.763137\pi\) | |||||||
\(420\) | −1.46635e12 | + | 3.13315e12i | −0.00547478 | + | 0.0116979i | ||||
\(421\) | 7.79736e13 | 0.287340 | 0.143670 | − | 0.989626i | \(-0.454110\pi\) | ||||
0.143670 | + | 0.989626i | \(0.454110\pi\) | |||||||
\(422\) | −2.59395e13 | + | 4.49285e13i | −0.0943503 | + | 0.163419i | ||||
\(423\) | −5.76439e12 | − | 9.98421e12i | −0.0206957 | − | 0.0358461i | ||||
\(424\) | 1.83798e13 | + | 3.18347e13i | 0.0651370 | + | 0.112821i | ||||
\(425\) | 1.49628e14 | − | 2.59164e14i | 0.523450 | − | 0.906641i | ||||
\(426\) | −1.06410e13 | −0.0367476 | ||||||||
\(427\) | 3.79266e13 | − | 3.26467e12i | 0.129298 | − | 0.0111298i | ||||
\(428\) | −7.76766e11 | −0.00261426 | ||||||||
\(429\) | −3.15203e13 | + | 5.45947e13i | −0.104731 | + | 0.181399i | ||||
\(430\) | 4.49343e12 | + | 7.78285e12i | 0.0147401 | + | 0.0255307i | ||||
\(431\) | 1.01136e14 | + | 1.75173e14i | 0.327553 | + | 0.567338i | 0.982026 | − | 0.188748i | \(-0.0604428\pi\) |
−0.654473 | + | 0.756085i | \(0.727109\pi\) | |||||||
\(432\) | −2.43141e13 | + | 4.21133e13i | −0.0777495 | + | 0.134666i | ||||
\(433\) | 1.87950e14 | 0.593417 | 0.296708 | − | 0.954968i | \(-0.404111\pi\) | ||||
0.296708 | + | 0.954968i | \(0.404111\pi\) | |||||||
\(434\) | −9.61490e13 | − | 1.37725e14i | −0.299745 | − | 0.429357i | ||||
\(435\) | 1.14467e13 | 0.0352362 | ||||||||
\(436\) | −1.10437e14 | + | 1.91283e14i | −0.335691 | + | 0.581433i | ||||
\(437\) | −1.47974e13 | − | 2.56299e13i | −0.0444158 | − | 0.0769305i | ||||
\(438\) | −5.42773e13 | − | 9.40110e13i | −0.160883 | − | 0.278658i | ||||
\(439\) | 2.19247e13 | − | 3.79748e13i | 0.0641770 | − | 0.111158i | −0.832152 | − | 0.554548i | \(-0.812891\pi\) |
0.896329 | + | 0.443390i | \(0.146224\pi\) | |||||||
\(440\) | 4.45932e12 | 0.0128908 | ||||||||
\(441\) | 2.00147e14 | + | 2.39886e14i | 0.571396 | + | 0.684847i | ||||
\(442\) | 3.62709e14 | 1.02267 | ||||||||
\(443\) | 1.14367e14 | − | 1.98090e14i | 0.318480 | − | 0.551623i | −0.661691 | − | 0.749776i | \(-0.730161\pi\) |
0.980171 | + | 0.198154i | \(0.0634945\pi\) | |||||||
\(444\) | −3.92945e13 | − | 6.80601e13i | −0.108075 | − | 0.187191i | ||||
\(445\) | 9.68758e12 | + | 1.67794e13i | 0.0263169 | + | 0.0455823i | ||||
\(446\) | −5.37695e13 | + | 9.31314e13i | −0.144276 | + | 0.249893i | ||||
\(447\) | 1.03418e14 | 0.274097 | ||||||||
\(448\) | −2.73314e13 | − | 3.91497e13i | −0.0715537 | − | 0.102494i | ||||
\(449\) | 2.07597e14 | 0.536865 | 0.268433 | − | 0.963298i | \(-0.413494\pi\) | ||||
0.268433 | + | 0.963298i | \(0.413494\pi\) | |||||||
\(450\) | 1.22675e14 | − | 2.12480e14i | 0.313392 | − | 0.542811i | ||||
\(451\) | 5.47915e13 | + | 9.49017e13i | 0.138275 | + | 0.239499i | ||||
\(452\) | 1.89851e14 | + | 3.28832e14i | 0.473317 | + | 0.819809i | ||||
\(453\) | 2.56486e12 | − | 4.44247e12i | 0.00631719 | − | 0.0109417i | ||||
\(454\) | 6.63872e13 | 0.161539 | ||||||||
\(455\) | 4.47072e13 | − | 3.84834e12i | 0.107477 | − | 0.00925147i | ||||
\(456\) | −7.62835e12 | −0.0181186 | ||||||||
\(457\) | −2.80816e14 | + | 4.86387e14i | −0.658995 | + | 1.14141i | 0.321881 | + | 0.946780i | \(0.395685\pi\) |
−0.980876 | + | 0.194632i | \(0.937649\pi\) | |||||||
\(458\) | 5.49944e13 | + | 9.52530e13i | 0.127514 | + | 0.220861i | ||||
\(459\) | −1.42995e14 | − | 2.47675e14i | −0.327606 | − | 0.567430i | ||||
\(460\) | −4.94487e12 | + | 8.56477e12i | −0.0111940 | + | 0.0193886i | ||||
\(461\) | 2.58496e14 | 0.578228 | 0.289114 | − | 0.957295i | \(-0.406639\pi\) | ||||
0.289114 | + | 0.957295i | \(0.406639\pi\) | |||||||
\(462\) | −2.06878e13 | + | 4.42035e13i | −0.0457280 | + | 0.0977069i | ||||
\(463\) | −6.03088e14 | −1.31730 | −0.658650 | − | 0.752449i | \(-0.728872\pi\) | ||||
−0.658650 | + | 0.752449i | \(0.728872\pi\) | |||||||
\(464\) | −7.89952e13 | + | 1.36824e14i | −0.170511 | + | 0.295333i | ||||
\(465\) | 4.48387e12 | + | 7.76629e12i | 0.00956449 | + | 0.0165662i | ||||
\(466\) | −1.46316e13 | − | 2.53427e13i | −0.0308440 | − | 0.0534234i | ||||
\(467\) | −1.59594e14 | + | 2.76425e14i | −0.332487 | + | 0.575884i | −0.982999 | − | 0.183612i | \(-0.941221\pi\) |
0.650512 | + | 0.759496i | \(0.274554\pi\) | |||||||
\(468\) | 2.97373e14 | 0.612278 | ||||||||
\(469\) | −7.38667e13 | + | 1.57831e14i | −0.150313 | + | 0.321174i | ||||
\(470\) | −1.28196e12 | −0.00257831 | ||||||||
\(471\) | 2.63882e13 | − | 4.57057e13i | 0.0524560 | − | 0.0908565i | ||||
\(472\) | −1.45741e14 | − | 2.52431e14i | −0.286352 | − | 0.495977i | ||||
\(473\) | 6.33948e13 | + | 1.09803e14i | 0.123117 | + | 0.213245i | ||||
\(474\) | 7.78115e13 | − | 1.34773e14i | 0.149370 | − | 0.258716i | ||||
\(475\) | 8.16409e13 | 0.154915 | ||||||||
\(476\) | 2.79769e14 | − | 2.40822e13i | 0.524761 | − | 0.0451708i | ||||
\(477\) | −1.77246e14 | −0.328644 | ||||||||
\(478\) | 2.48481e14 | − | 4.30382e14i | 0.455449 | − | 0.788861i | ||||
\(479\) | −3.21839e14 | − | 5.57442e14i | −0.583168 | − | 1.01008i | −0.995101 | − | 0.0988630i | \(-0.968479\pi\) |
0.411933 | − | 0.911214i | \(-0.364854\pi\) | |||||||
\(480\) | 1.27459e12 | + | 2.20765e12i | 0.00228319 | + | 0.00395461i | ||||
\(481\) | −5.09710e14 | + | 8.82844e14i | −0.902662 | + | 1.56346i | ||||
\(482\) | 7.78890e13 | 0.136370 | ||||||||
\(483\) | −6.19588e13 | − | 8.87504e13i | −0.107249 | − | 0.153625i | ||||
\(484\) | −2.29246e14 | −0.392330 | ||||||||
\(485\) | 3.61643e13 | − | 6.26383e13i | 0.0611928 | − | 0.105989i | ||||
\(486\) | −1.79204e14 | − | 3.10391e14i | −0.299812 | − | 0.519290i | ||||
\(487\) | −3.21937e14 | − | 5.57612e14i | −0.532552 | − | 0.922408i | −0.999278 | − | 0.0380052i | \(-0.987900\pi\) |
0.466725 | − | 0.884402i | \(-0.345434\pi\) | |||||||
\(488\) | 1.40258e13 | − | 2.42934e13i | 0.0229413 | − | 0.0397355i | ||||
\(489\) | 1.09411e14 | 0.176954 | ||||||||
\(490\) | 3.42286e13 | − | 5.93670e12i | 0.0547407 | − | 0.00949438i | ||||
\(491\) | −1.89651e14 | −0.299921 | −0.149960 | − | 0.988692i | \(-0.547915\pi\) | ||||
−0.149960 | + | 0.988692i | \(0.547915\pi\) | |||||||
\(492\) | −3.13216e13 | + | 5.42507e13i | −0.0489820 | + | 0.0848393i | ||||
\(493\) | −4.64584e14 | − | 8.04683e14i | −0.718466 | − | 1.24442i | ||||
\(494\) | 4.94757e13 | + | 8.56944e13i | 0.0756648 | + | 0.131055i | ||||
\(495\) | −1.07509e13 | + | 1.86211e13i | −0.0162598 | + | 0.0281629i | ||||
\(496\) | −1.23775e14 | −0.185133 | ||||||||
\(497\) | 6.11703e13 | + | 8.76209e13i | 0.0904857 | + | 0.129613i | ||||
\(498\) | 2.71313e14 | 0.396926 | ||||||||
\(499\) | 1.80479e14 | − | 3.12599e14i | 0.261140 | − | 0.452308i | −0.705405 | − | 0.708805i | \(-0.749235\pi\) |
0.966545 | + | 0.256496i | \(0.0825681\pi\) | |||||||
\(500\) | −2.73668e13 | − | 4.74007e13i | −0.0391642 | − | 0.0678343i | ||||
\(501\) | −1.17371e14 | − | 2.03292e14i | −0.166132 | − | 0.287749i | ||||
\(502\) | −1.59717e14 | + | 2.76637e14i | −0.223604 | + | 0.387293i | ||||
\(503\) | 4.66680e14 | 0.646242 | 0.323121 | − | 0.946358i | \(-0.395268\pi\) | ||||
0.323121 | + | 0.946358i | \(0.395268\pi\) | |||||||
\(504\) | 2.29373e14 | − | 1.97442e13i | 0.314177 | − | 0.0270440i | ||||
\(505\) | −9.14753e13 | −0.123937 | ||||||||
\(506\) | −6.97638e13 | + | 1.20835e14i | −0.0934980 | + | 0.161943i | ||||
\(507\) | 1.09735e14 | + | 1.90067e14i | 0.145480 | + | 0.251978i | ||||
\(508\) | −3.57643e14 | − | 6.19455e14i | −0.469028 | − | 0.812381i | ||||
\(509\) | 6.50568e14 | − | 1.12682e15i | 0.844005 | − | 1.46186i | −0.0424779 | − | 0.999097i | \(-0.513525\pi\) |
0.886483 | − | 0.462762i | \(-0.153141\pi\) | |||||||
\(510\) | −1.49921e13 | −0.0192410 | ||||||||
\(511\) | −4.62097e14 | + | 9.87361e14i | −0.586703 | + | 1.25361i | ||||
\(512\) | −3.51844e13 | −0.0441942 | ||||||||
\(513\) | 3.90109e13 | − | 6.75688e13i | 0.0484775 | − | 0.0839655i | ||||
\(514\) | 4.78888e14 | + | 8.29458e14i | 0.588758 | + | 1.01976i | ||||
\(515\) | 2.21948e13 | + | 3.84425e13i | 0.0269967 | + | 0.0467597i | ||||
\(516\) | −3.62397e13 | + | 6.27691e13i | −0.0436126 | + | 0.0755392i | ||||
\(517\) | −1.80863e13 | −0.0215353 | ||||||||
\(518\) | −3.34539e14 | + | 7.14808e14i | −0.394124 | + | 0.842124i | ||||
\(519\) | −8.35623e13 | −0.0974069 | ||||||||
\(520\) | 1.65334e13 | − | 2.86366e13i | 0.0190696 | − | 0.0330296i | ||||
\(521\) | 6.08081e14 | + | 1.05323e15i | 0.693991 | + | 1.20203i | 0.970520 | + | 0.241022i | \(0.0774826\pi\) |
−0.276529 | + | 0.961006i | \(0.589184\pi\) | |||||||
\(522\) | −3.80897e14 | − | 6.59732e14i | −0.430149 | − | 0.745041i | ||||
\(523\) | −6.55535e14 | + | 1.13542e15i | −0.732548 | + | 1.26881i | 0.223242 | + | 0.974763i | \(0.428336\pi\) |
−0.955791 | + | 0.294048i | \(0.904997\pi\) | |||||||
\(524\) | 4.38670e14 | 0.485083 | ||||||||
\(525\) | 2.97488e14 | − | 2.56075e13i | 0.325532 | − | 0.0280214i | ||||
\(526\) | −9.03979e14 | −0.978897 | ||||||||
\(527\) | 3.63971e14 | − | 6.30416e14i | 0.390039 | − | 0.675568i | ||||
\(528\) | 1.79823e13 | + | 3.11462e13i | 0.0190703 | + | 0.0330308i | ||||
\(529\) | 3.21685e14 | + | 5.57174e14i | 0.337617 | + | 0.584770i | ||||
\(530\) | −9.85455e12 | + | 1.70686e13i | −0.0102357 | + | 0.0177288i | ||||
\(531\) | 1.40546e15 | 1.44477 | ||||||||
\(532\) | 4.38519e13 | + | 6.28139e13i | 0.0446143 | + | 0.0639060i | ||||
\(533\) | 8.12580e14 | 0.818213 | ||||||||
\(534\) | −7.81308e13 | + | 1.35326e14i | −0.0778655 | + | 0.134867i | ||||
\(535\) | −2.08236e11 | − | 3.60676e11i | −0.000205405 | − | 0.000355772i | ||||
\(536\) | 6.42067e13 | + | 1.11209e14i | 0.0626865 | + | 0.108576i | ||||
\(537\) | −3.36567e14 | + | 5.82951e14i | −0.325247 | + | 0.563344i | ||||
\(538\) | −1.59616e14 | −0.152677 | ||||||||
\(539\) | 4.82908e14 | − | 8.37569e13i | 0.457221 | − | 0.0793017i | ||||
\(540\) | −2.60726e13 | −0.0244354 | ||||||||
\(541\) | 5.84730e14 | − | 1.01278e15i | 0.542463 | − | 0.939574i | −0.456299 | − | 0.889827i | \(-0.650825\pi\) |
0.998762 | − | 0.0497471i | \(-0.0158415\pi\) | |||||||
\(542\) | 5.67048e14 | + | 9.82156e14i | 0.520743 | + | 0.901954i | ||||
\(543\) | −8.80465e13 | − | 1.52501e14i | −0.0800411 | − | 0.138635i | ||||
\(544\) | 1.03463e14 | − | 1.79202e14i | 0.0931085 | − | 0.161269i | ||||
\(545\) | −1.18424e14 | −0.105502 | ||||||||
\(546\) | 2.07162e14 | + | 2.96740e14i | 0.182705 | + | 0.261708i | ||||
\(547\) | 7.27016e14 | 0.634766 | 0.317383 | − | 0.948297i | \(-0.397196\pi\) | ||||
0.317383 | + | 0.948297i | \(0.397196\pi\) | |||||||
\(548\) | −2.11498e14 | + | 3.66325e14i | −0.182815 | + | 0.316645i | ||||
\(549\) | 6.76291e13 | + | 1.17137e14i | 0.0578743 | + | 0.100241i | ||||
\(550\) | −1.92452e14 | − | 3.33337e14i | −0.163053 | − | 0.282415i | ||||
\(551\) | 1.26744e14 | − | 2.19527e14i | 0.106315 | − | 0.184143i | ||||
\(552\) | −7.97612e13 | −0.0662410 | ||||||||
\(553\) | −1.55706e15 | + | 1.34030e14i | −1.28032 | + | 0.110208i | ||||
\(554\) | −8.63789e14 | −0.703240 | ||||||||
\(555\) | 2.10682e13 | − | 3.64913e13i | 0.0169831 | − | 0.0294156i | ||||
\(556\) | −6.14792e14 | − | 1.06485e15i | −0.490701 | − | 0.849919i | ||||
\(557\) | −8.66449e14 | − | 1.50073e15i | −0.684762 | − | 1.18604i | −0.973512 | − | 0.228637i | \(-0.926573\pi\) |
0.288750 | − | 0.957404i | \(-0.406760\pi\) | |||||||
\(558\) | 2.98408e14 | − | 5.16857e14i | 0.233519 | − | 0.404466i | ||||
\(559\) | 9.40170e14 | 0.728520 | ||||||||
\(560\) | 1.08514e13 | − | 2.31861e13i | 0.00832627 | − | 0.0177907i | ||||
\(561\) | −2.11514e14 | −0.160710 | ||||||||
\(562\) | −3.77661e13 | + | 6.54128e13i | −0.0284153 | + | 0.0492168i | ||||
\(563\) | −4.37043e14 | − | 7.56980e14i | −0.325632 | − | 0.564012i | 0.656008 | − | 0.754754i | \(-0.272244\pi\) |
−0.981640 | + | 0.190742i | \(0.938911\pi\) | |||||||
\(564\) | −5.16952e12 | − | 8.95386e12i | −0.00381430 | − | 0.00660656i | ||||
\(565\) | −1.01791e14 | + | 1.76307e14i | −0.0743778 | + | 0.128826i | ||||
\(566\) | −8.52650e14 | −0.616994 | ||||||||
\(567\) | −4.06611e14 | + | 8.68805e14i | −0.291389 | + | 0.622609i | ||||
\(568\) | 7.87461e13 | 0.0558873 | ||||||||
\(569\) | −2.94897e14 | + | 5.10776e14i | −0.207278 | + | 0.359015i | −0.950856 | − | 0.309633i | \(-0.899794\pi\) |
0.743578 | + | 0.668649i | \(0.233127\pi\) | |||||||
\(570\) | −2.04502e12 | − | 3.54207e12i | −0.00142359 | − | 0.00246573i | ||||
\(571\) | 4.92599e12 | + | 8.53207e12i | 0.00339622 | + | 0.00588242i | 0.867719 | − | 0.497056i | \(-0.165586\pi\) |
−0.864322 | + | 0.502938i | \(0.832252\pi\) | |||||||
\(572\) | 2.33258e14 | − | 4.04015e14i | 0.159279 | − | 0.275879i | ||||
\(573\) | −5.60313e14 | −0.378948 | ||||||||
\(574\) | 6.26769e14 | − | 5.39515e13i | 0.419848 | − | 0.0361400i | ||||
\(575\) | 8.53629e14 | 0.566364 | ||||||||
\(576\) | 8.48255e13 | − | 1.46922e14i | 0.0557446 | − | 0.0965524i | ||||
\(577\) | −5.63060e14 | − | 9.75248e14i | −0.366511 | − | 0.634816i | 0.622506 | − | 0.782615i | \(-0.286115\pi\) |
−0.989017 | + | 0.147799i | \(0.952781\pi\) | |||||||
\(578\) | 6.01303e13 | + | 1.04149e14i | 0.0387695 | + | 0.0671507i | ||||
\(579\) | −3.12023e14 | + | 5.40439e14i | −0.199276 | + | 0.345155i | ||||
\(580\) | −8.47085e13 | −0.0535887 | ||||||||
\(581\) | −1.55966e15 | − | 2.23407e15i | −0.977373 | − | 1.40000i | ||||
\(582\) | 5.83333e14 | 0.362110 | ||||||||
\(583\) | −1.39031e14 | + | 2.40809e14i | −0.0854939 | + | 0.148080i | ||||
\(584\) | 4.01666e14 | + | 6.95705e14i | 0.244678 | + | 0.423794i | ||||
\(585\) | 7.97200e13 | + | 1.38079e14i | 0.0481072 | + | 0.0833241i | ||||
\(586\) | 4.71058e14 | − | 8.15896e14i | 0.281603 | − | 0.487751i | ||||
\(587\) | −1.44774e15 | −0.857395 | −0.428698 | − | 0.903448i | \(-0.641027\pi\) | ||||
−0.428698 | + | 0.903448i | \(0.641027\pi\) | |||||||
\(588\) | 1.79493e14 | + | 2.15131e14i | 0.105310 | + | 0.126220i | ||||
\(589\) | 1.98592e14 | 0.115432 | ||||||||
\(590\) | 7.81409e13 | − | 1.35344e14i | 0.0449979 | − | 0.0779387i | ||||
\(591\) | 2.93697e14 | + | 5.08699e14i | 0.167559 | + | 0.290221i | ||||
\(592\) | 2.90789e14 | + | 5.03662e14i | 0.164365 | + | 0.284688i | ||||
\(593\) | −4.72878e14 | + | 8.19048e14i | −0.264818 | + | 0.458679i | −0.967516 | − | 0.252810i | \(-0.918645\pi\) |
0.702698 | + | 0.711489i | \(0.251979\pi\) | |||||||
\(594\) | −3.67841e14 | −0.204096 | ||||||||
\(595\) | 8.61829e13 | + | 1.23449e14i | 0.0473781 | + | 0.0678649i | ||||
\(596\) | −7.65319e14 | −0.416858 | ||||||||
\(597\) | 4.78074e14 | − | 8.28048e14i | 0.258010 | − | 0.446886i | ||||
\(598\) | 5.17313e14 | + | 8.96012e14i | 0.276628 | + | 0.479134i | ||||
\(599\) | 9.94121e14 | + | 1.72187e15i | 0.526734 | + | 0.912331i | 0.999515 | + | 0.0311505i | \(0.00991711\pi\) |
−0.472780 | + | 0.881180i | \(0.656750\pi\) | |||||||
\(600\) | 1.10015e14 | − | 1.90552e14i | 0.0577593 | − | 0.100042i | ||||
\(601\) | −6.84869e14 | −0.356285 | −0.178143 | − | 0.984005i | \(-0.557009\pi\) | ||||
−0.178143 | + | 0.984005i | \(0.557009\pi\) | |||||||
\(602\) | 7.25184e14 | − | 6.24229e13i | 0.373824 | − | 0.0321783i | ||||
\(603\) | −6.19180e14 | −0.316280 | ||||||||
\(604\) | −1.89806e13 | + | 3.28754e13i | −0.00960744 | + | 0.0166406i | ||||
\(605\) | −6.14565e13 | − | 1.06446e14i | −0.0308257 | − | 0.0533917i | ||||
\(606\) | −3.68876e14 | − | 6.38912e14i | −0.183350 | − | 0.317572i | ||||
\(607\) | −8.80297e14 | + | 1.52472e15i | −0.433602 | + | 0.751021i | −0.997180 | − | 0.0750418i | \(-0.976091\pi\) |
0.563578 | + | 0.826063i | \(0.309424\pi\) | |||||||
\(608\) | 5.64517e13 | 0.0275554 | ||||||||
\(609\) | 3.92982e14 | − | 8.39682e14i | 0.190098 | − | 0.406181i | ||||
\(610\) | 1.50402e13 | 0.00721007 | ||||||||
\(611\) | −6.70566e13 | + | 1.16145e14i | −0.0318577 | + | 0.0551792i | ||||
\(612\) | 4.98873e14 | + | 8.64073e14i | 0.234886 | + | 0.406834i | ||||
\(613\) | 1.41227e15 | + | 2.44613e15i | 0.659000 | + | 1.14142i | 0.980875 | + | 0.194639i | \(0.0623537\pi\) |
−0.321875 | + | 0.946782i | \(0.604313\pi\) | |||||||
\(614\) | 1.47945e15 | − | 2.56248e15i | 0.684185 | − | 1.18504i | ||||
\(615\) | −3.35870e13 | −0.0153942 | ||||||||
\(616\) | 1.53095e14 | − | 3.27117e14i | 0.0695451 | − | 0.148597i | ||||
\(617\) | 4.84445e14 | 0.218110 | 0.109055 | − | 0.994036i | \(-0.465217\pi\) | ||||
0.109055 | + | 0.994036i | \(0.465217\pi\) | |||||||
\(618\) | −1.79002e14 | + | 3.10040e14i | −0.0798768 | + | 0.138351i | ||||
\(619\) | −3.64048e14 | − | 6.30550e14i | −0.161013 | − | 0.278882i | 0.774219 | − | 0.632917i | \(-0.218143\pi\) |
−0.935232 | + | 0.354035i | \(0.884809\pi\) | |||||||
\(620\) | −3.31818e13 | − | 5.74726e13i | −0.0145461 | − | 0.0251945i | ||||
\(621\) | 4.07893e14 | − | 7.06492e14i | 0.177232 | − | 0.306975i | ||||
\(622\) | 2.42162e15 | 1.04294 | ||||||||
\(623\) | 1.56345e15 | − | 1.34580e14i | 0.667422 | − | 0.0574509i | ||||
\(624\) | 2.66685e14 | 0.112845 | ||||||||
\(625\) | −1.17006e15 | + | 2.02660e15i | −0.490759 | + | 0.850020i | ||||
\(626\) | −4.90609e14 | − | 8.49760e14i | −0.203975 | − | 0.353295i | ||||
\(627\) | −2.88518e13 | − | 4.99727e13i | −0.0118905 | − | 0.0205950i | ||||
\(628\) | −1.95280e14 | + | 3.38234e14i | −0.0797772 | + | 0.138178i | ||||
\(629\) | −3.42036e15 | −1.38514 | ||||||||
\(630\) | 7.06585e13 | + | 1.01212e14i | 0.0283655 | + | 0.0406311i | ||||
\(631\) | 3.73026e15 | 1.48449 | 0.742245 | − | 0.670128i | \(-0.233761\pi\) | ||||
0.742245 | + | 0.670128i | \(0.233761\pi\) | |||||||
\(632\) | −5.75825e14 | + | 9.97358e14i | −0.227168 | + | 0.393466i | ||||
\(633\) | −1.12167e14 | − | 1.94279e14i | −0.0438677 | − | 0.0759810i | ||||
\(634\) | 4.38438e14 | + | 7.59397e14i | 0.169988 | + | 0.294427i | ||||
\(635\) | 1.91755e14 | − | 3.32129e14i | 0.0737039 | − | 0.127659i | ||||
\(636\) | −1.58955e14 | −0.0605702 | ||||||||
\(637\) | 1.25256e15 | − | 3.41165e15i | 0.473187 | − | 1.28884i | ||||
\(638\) | −1.19510e15 | −0.447599 | ||||||||
\(639\) | −1.89848e14 | + | 3.28826e14i | −0.0704938 | + | 0.122099i | ||||
\(640\) | −9.43227e12 | − | 1.63372e13i | −0.00347237 | − | 0.00601433i | ||||
\(641\) | 1.48337e15 | + | 2.56928e15i | 0.541417 | + | 0.937761i | 0.998823 | + | 0.0485033i | \(0.0154451\pi\) |
−0.457406 | + | 0.889258i | \(0.651222\pi\) | |||||||
\(642\) | 1.67944e12 | − | 2.90887e12i | 0.000607744 | − | 0.00105264i | ||||
\(643\) | 3.05558e15 | 1.09631 | 0.548154 | − | 0.836377i | \(-0.315331\pi\) | ||||
0.548154 | + | 0.836377i | \(0.315331\pi\) | |||||||
\(644\) | 4.58511e14 | + | 6.56776e14i | 0.163109 | + | 0.233639i | ||||
\(645\) | −3.88608e13 | −0.0137067 | ||||||||
\(646\) | −1.66001e14 | + | 2.87522e14i | −0.0580539 | + | 0.100552i | ||||
\(647\) | −6.62437e14 | − | 1.14738e15i | −0.229705 | − | 0.397861i | 0.728015 | − | 0.685561i | \(-0.240443\pi\) |
−0.957721 | + | 0.287699i | \(0.907110\pi\) | |||||||
\(648\) | 3.53436e14 | + | 6.12170e14i | 0.121520 | + | 0.210479i | ||||
\(649\) | 1.10244e15 | − | 1.90948e15i | 0.375844 | − | 0.650982i | ||||
\(650\) | −2.85414e15 | −0.964832 | ||||||||
\(651\) | 7.23641e14 | − | 6.22901e13i | 0.242565 | − | 0.0208797i | ||||
\(652\) | −8.09668e14 | −0.269119 | ||||||||
\(653\) | −1.70073e15 | + | 2.94575e15i | −0.560548 | + | 0.970897i | 0.436901 | + | 0.899510i | \(0.356076\pi\) |
−0.997449 | + | 0.0713873i | \(0.977257\pi\) | |||||||
\(654\) | −4.77549e14 | − | 8.27140e14i | −0.156078 | − | 0.270334i | ||||
\(655\) | 1.17599e14 | + | 2.03688e14i | 0.0381134 | + | 0.0660143i | ||||
\(656\) | 2.31788e14 | − | 4.01469e14i | 0.0744938 | − | 0.129027i | ||||
\(657\) | −3.87348e15 | −1.23450 | ||||||||
\(658\) | −4.40114e13 | + | 9.40389e13i | −0.0139099 | + | 0.0297211i | ||||
\(659\) | −3.73056e15 | −1.16924 | −0.584621 | − | 0.811306i | \(-0.698757\pi\) | ||||
−0.584621 | + | 0.811306i | \(0.698757\pi\) | |||||||
\(660\) | −9.64143e12 | + | 1.66995e13i | −0.00299675 | + | 0.00519052i | ||||
\(661\) | −9.07423e14 | − | 1.57170e15i | −0.279706 | − | 0.484465i | 0.691606 | − | 0.722275i | \(-0.256904\pi\) |
−0.971312 | + | 0.237810i | \(0.923570\pi\) | |||||||
\(662\) | 4.21732e14 | + | 7.30461e14i | 0.128919 | + | 0.223295i | ||||
\(663\) | −7.84208e14 | + | 1.35829e15i | −0.237743 | + | 0.411782i | ||||
\(664\) | −2.00779e15 | −0.603661 | ||||||||
\(665\) | −1.74105e13 | + | 3.72010e13i | −0.00519150 | + | 0.0110927i | ||||
\(666\) | −2.80424e15 | −0.829290 | ||||||||
\(667\) | 1.32522e15 | − | 2.29535e15i | 0.388684 | − | 0.673221i | ||||
\(668\) | 8.68575e14 | + | 1.50442e15i | 0.252660 | + | 0.437620i | ||||
\(669\) | −2.32509e14 | − | 4.02717e14i | −0.0670803 | − | 0.116187i | ||||
\(670\) | −3.44252e13 | + | 5.96262e13i | −0.00985066 | + | 0.0170618i | ||||
\(671\) | 2.12192e14 | 0.0602220 | ||||||||
\(672\) | 2.05702e14 | − | 1.77066e13i | 0.0579040 | − | 0.00498430i | ||||
\(673\) | 3.44656e15 | 0.962284 | 0.481142 | − | 0.876643i | \(-0.340222\pi\) | ||||
0.481142 | + | 0.876643i | \(0.340222\pi\) | |||||||
\(674\) | −7.24367e14 | + | 1.25464e15i | −0.200599 | + | 0.347448i | ||||
\(675\) | 1.12522e15 | + | 1.94894e15i | 0.309078 | + | 0.535339i | ||||
\(676\) | −8.12068e14 | − | 1.40654e15i | −0.221251 | − | 0.383218i | ||||
\(677\) | 2.84223e15 | − | 4.92288e15i | 0.768106 | − | 1.33040i | −0.170483 | − | 0.985361i | \(-0.554533\pi\) |
0.938589 | − | 0.345038i | \(-0.112134\pi\) | |||||||
\(678\) | −1.64190e15 | −0.440132 | ||||||||
\(679\) | −3.35332e15 | − | 4.80332e15i | −0.891642 | − | 1.27720i | ||||
\(680\) | 1.10946e14 | 0.0292625 | ||||||||
\(681\) | −1.43535e14 | + | 2.48610e14i | −0.0375533 | + | 0.0650443i | ||||
\(682\) | −4.68140e14 | − | 8.10842e14i | −0.121496 | − | 0.210437i | ||||
\(683\) | −8.07317e14 | − | 1.39831e15i | −0.207841 | − | 0.359991i | 0.743193 | − | 0.669077i | \(-0.233310\pi\) |
−0.951034 | + | 0.309086i | \(0.899977\pi\) | |||||||
\(684\) | −1.36099e14 | + | 2.35730e14i | −0.0347572 | + | 0.0602013i | ||||
\(685\) | −2.26794e14 | −0.0574558 | ||||||||
\(686\) | 7.39625e14 | − | 2.71468e15i | 0.185878 | − | 0.682238i | ||||
\(687\) | −4.75611e14 | −0.118574 | ||||||||
\(688\) | 2.68183e14 | − | 4.64507e14i | 0.0663278 | − | 0.114883i | ||||
\(689\) | 1.03094e15 | + | 1.78565e15i | 0.252947 | + | 0.438117i | ||||
\(690\) | −2.13825e13 | − | 3.70355e13i | −0.00520461 | − | 0.00901465i | ||||
\(691\) | 7.68868e14 | − | 1.33172e15i | 0.185662 | − | 0.321576i | −0.758138 | − | 0.652095i | \(-0.773890\pi\) |
0.943799 | + | 0.330519i | \(0.107224\pi\) | |||||||
\(692\) | 6.18382e14 | 0.148140 | ||||||||
\(693\) | 9.96873e14 | + | 1.42793e15i | 0.236923 | + | 0.339371i | ||||
\(694\) | 3.09092e15 | 0.728805 | ||||||||
\(695\) | 3.29628e14 | − | 5.70933e14i | 0.0771096 | − | 0.133558i | ||||
\(696\) | −3.41589e14 | − | 5.91649e14i | −0.0792781 | − | 0.137314i | ||||
\(697\) | 1.36318e15 | + | 2.36110e15i | 0.313888 | + | 0.543670i | ||||
\(698\) | −1.27165e15 | + | 2.20257e15i | −0.290512 | + | 0.503181i | ||||
\(699\) | 1.26540e14 | 0.0286815 | ||||||||
\(700\) | −2.20149e15 | + | 1.89502e14i | −0.495083 | + | 0.0426161i | ||||
\(701\) | 3.16112e15 | 0.705329 | 0.352664 | − | 0.935750i | \(-0.385276\pi\) | ||||
0.352664 | + | 0.935750i | \(0.385276\pi\) | |||||||
\(702\) | −1.36381e15 | + | 2.36218e15i | −0.301925 | + | 0.522949i | ||||
\(703\) | −4.66558e14 | − | 8.08103e14i | −0.102483 | − | 0.177506i | ||||
\(704\) | −1.33074e14 | − | 2.30490e14i | −0.0290030 | − | 0.0502346i | ||||
\(705\) | 2.77170e12 | − | 4.80073e12i | 0.000599385 | − | 0.00103817i | ||||
\(706\) | 1.30501e15 | 0.280019 | ||||||||
\(707\) | −3.14048e15 | + | 6.71024e15i | −0.668635 | + | 1.42867i | ||||
\(708\) | 1.26042e15 | 0.266276 | ||||||||
\(709\) | 5.12422e14 | − | 8.87541e14i | 0.107417 | − | 0.186052i | −0.807306 | − | 0.590133i | \(-0.799075\pi\) |
0.914723 | + | 0.404081i | \(0.132409\pi\) | |||||||
\(710\) | 2.11103e13 | + | 3.65642e13i | 0.00439111 | + | 0.00760563i | ||||
\(711\) | −2.77649e15 | − | 4.80903e15i | −0.573078 | − | 0.992601i | ||||
\(712\) | 5.78188e14 | − | 1.00145e15i | 0.118421 | − | 0.205111i | ||||
\(713\) | 2.07645e15 | 0.422017 | ||||||||
\(714\) | −5.14701e14 | + | 1.09976e15i | −0.103804 | + | 0.221798i | ||||
\(715\) | 2.50128e14 | 0.0500587 | ||||||||
\(716\) | 2.49068e15 | − | 4.31399e15i | 0.494648 | − | 0.856756i | ||||
\(717\) | 1.07448e15 | + | 1.86105e15i | 0.211759 | + | 0.366777i | ||||
\(718\) | 1.96587e15 | + | 3.40498e15i | 0.384477 | + | 0.665933i | ||||
\(719\) | −3.46971e15 | + | 6.00972e15i | −0.673418 | + | 1.16639i | 0.303511 | + | 0.952828i | \(0.401841\pi\) |
−0.976929 | + | 0.213566i | \(0.931492\pi\) | |||||||
\(720\) | 9.09605e13 | 0.0175196 | ||||||||
\(721\) | 3.58196e15 | − | 3.08331e14i | 0.684662 | − | 0.0589349i | ||||
\(722\) | 3.63711e15 | 0.689926 | ||||||||
\(723\) | −1.68403e14 | + | 2.91682e14i | −0.0317022 | + | 0.0549098i | ||||
\(724\) | 6.51566e14 | + | 1.12855e15i | 0.121730 | + | 0.210842i | ||||
\(725\) | 3.65579e15 | + | 6.33202e15i | 0.677832 | + | 1.17404i | ||||
\(726\) | 4.95649e14 | − | 8.58490e14i | 0.0912059 | − | 0.157973i | ||||
\(727\) | 1.82914e15 | 0.334046 | 0.167023 | − | 0.985953i | \(-0.446585\pi\) | ||||
0.167023 | + | 0.985953i | \(0.446585\pi\) | |||||||
\(728\) | −1.53305e15 | − | 2.19595e15i | −0.277865 | − | 0.398016i | ||||
\(729\) | −2.27160e15 | −0.408630 | ||||||||
\(730\) | −2.15358e14 | + | 3.73011e14i | −0.0384490 | + | 0.0665957i | ||||
\(731\) | 1.57723e15 | + | 2.73184e15i | 0.279479 | + | 0.484072i | ||||
\(732\) | 6.06500e13 | + | 1.05049e14i | 0.0106664 | + | 0.0184748i | ||||
\(733\) | −3.83957e15 | + | 6.65032e15i | −0.670209 | + | 1.16084i | 0.307636 | + | 0.951504i | \(0.400462\pi\) |
−0.977845 | + | 0.209332i | \(0.932871\pi\) | |||||||
\(734\) | 4.37334e15 | 0.757679 | ||||||||
\(735\) | −5.17732e13 | + | 1.41016e14i | −0.00890275 | + | 0.0242487i | ||||
\(736\) | 5.90253e14 | 0.100742 | ||||||||
\(737\) | −4.85682e14 | + | 8.41226e14i | −0.0822775 | + | 0.142509i | ||||
\(738\) | 1.11763e15 | + | 1.93579e15i | 0.187926 | + | 0.325498i | ||||
\(739\) | −2.51463e15 | − | 4.35546e15i | −0.419690 | − | 0.726925i | 0.576218 | − | 0.817296i | \(-0.304528\pi\) |
−0.995908 | + | 0.0903712i | \(0.971195\pi\) | |||||||
\(740\) | −1.55910e14 | + | 2.70045e14i | −0.0258286 | + | 0.0447364i | ||||
\(741\) | −4.27883e14 | −0.0703599 | ||||||||
\(742\) | 9.13759e14 | + | 1.30888e15i | 0.149145 | + | 0.213637i | ||||
\(743\) | −8.16694e15 | −1.32319 | −0.661593 | − | 0.749863i | \(-0.730119\pi\) | ||||
−0.661593 | + | 0.749863i | \(0.730119\pi\) | |||||||
\(744\) | 2.67613e14 | − | 4.63519e14i | 0.0430383 | − | 0.0745446i | ||||
\(745\) | −2.05168e14 | − | 3.55361e14i | −0.0327529 | − | 0.0567296i | ||||
\(746\) | −3.66971e15 | − | 6.35612e15i | −0.581524 | − | 1.00723i | ||||
\(747\) | 4.84054e15 | − | 8.38407e15i | 0.761431 | − | 1.31884i | ||||
\(748\) | 1.56526e15 | 0.244414 | ||||||||
\(749\) | −3.36067e13 | + | 2.89283e12i | −0.00520926 | + | 0.000448407i | ||||
\(750\) | 2.36678e14 | 0.0364183 | ||||||||
\(751\) | 2.65889e15 | − | 4.60533e15i | 0.406144 | − | 0.703462i | −0.588310 | − | 0.808636i | \(-0.700206\pi\) |
0.994454 | + | 0.105173i | \(0.0335397\pi\) | |||||||
\(752\) | 3.82557e13 | + | 6.62609e13i | 0.00580094 | + | 0.0100475i | ||||
\(753\) | −6.90642e14 | − | 1.19623e15i | −0.103963 | − | 0.180070i | ||||
\(754\) | −4.43093e15 | + | 7.67460e15i | −0.662145 | + | 1.14687i | ||||
\(755\) | −2.03534e13 | −0.00301946 | ||||||||
\(756\) | −8.95110e14 | + | 1.91258e15i | −0.131828 | + | 0.281676i | ||||
\(757\) | −2.81481e15 | −0.411550 | −0.205775 | − | 0.978599i | \(-0.565971\pi\) | ||||
−0.205775 | + | 0.978599i | \(0.565971\pi\) | |||||||
\(758\) | 3.01403e15 | − | 5.22046e15i | 0.437489 | − | 0.757754i | ||||
\(759\) | −3.01671e14 | − | 5.22510e14i | −0.0434714 | − | 0.0752947i | ||||
\(760\) | 1.51336e13 | + | 2.62122e13i | 0.00216505 | + | 0.00374998i | ||||
\(761\) | 4.75454e15 | − | 8.23511e15i | 0.675295 | − | 1.16964i | −0.301088 | − | 0.953596i | \(-0.597350\pi\) |
0.976383 | − | 0.216048i | \(-0.0693168\pi\) | |||||||
\(762\) | 3.09302e15 | 0.436144 | ||||||||
\(763\) | −4.06568e15 | + | 8.68713e15i | −0.569178 | + | 1.21616i | ||||
\(764\) | 4.14646e15 | 0.576320 | ||||||||
\(765\) | −2.67477e14 | + | 4.63283e14i | −0.0369104 | + | 0.0639306i | ||||
\(766\) | −4.22490e15 | − | 7.31774e15i | −0.578840 | − | 1.00258i | ||||
\(767\) | −8.17479e15 | − | 1.41592e16i | −1.11199 | − | 1.92603i | ||||
\(768\) | 7.60717e13 | − | 1.31760e14i | 0.0102739 | − | 0.0177950i | ||||
\(769\) | −8.40673e15 | −1.12728 | −0.563641 | − | 0.826020i | \(-0.690600\pi\) | ||||
−0.563641 | + | 0.826020i | \(0.690600\pi\) | |||||||
\(770\) | 1.92932e14 | − | 1.66074e13i | 0.0256865 | − | 0.00221107i | ||||
\(771\) | −4.14159e15 | −0.547480 | ||||||||
\(772\) | 2.30905e15 | − | 3.99939e15i | 0.303066 | − | 0.524926i | ||||
\(773\) | 4.41147e15 | + | 7.64090e15i | 0.574906 | + | 0.995766i | 0.996052 | + | 0.0887730i | \(0.0282946\pi\) |
−0.421146 | + | 0.906993i | \(0.638372\pi\) | |||||||
\(774\) | 1.29312e15 | + | 2.23975e15i | 0.167326 | + | 0.289817i | ||||
\(775\) | −2.86407e15 | + | 4.96072e15i | −0.367981 | + | 0.637361i | ||||
\(776\) | −4.31681e15 | −0.550711 | ||||||||
\(777\) | −1.95354e15 | − | 2.79828e15i | −0.247461 | − | 0.354466i | ||||
\(778\) | −1.66454e14 | −0.0209366 | ||||||||
\(779\) | −3.71893e14 | + | 6.44138e14i | −0.0464475 | + | 0.0804495i | ||||
\(780\) | 7.14931e13 | + | 1.23830e14i | 0.00886633 | + | 0.0153569i | ||||
\(781\) | 2.97832e14 | + | 5.15860e14i | 0.0366767 | + | 0.0635259i | ||||
\(782\) | −1.73569e15 | + | 3.00630e15i | −0.212244 | + | 0.367617i | ||||
\(783\) | 6.98745e15 | 0.848456 | ||||||||
\(784\) | −1.32829e15 | − | 1.59202e15i | −0.160160 | − | 0.191960i | ||||
\(785\) | −2.09403e14 | −0.0250727 | ||||||||
\(786\) | −9.48444e14 | + | 1.64275e15i | −0.112768 | + | 0.195321i | ||||
\(787\) | −6.14523e15 | − | 1.06438e16i | −0.725566 | − | 1.25672i | −0.958741 | − | 0.284283i | \(-0.908245\pi\) |
0.233174 | − | 0.972435i | \(-0.425089\pi\) | |||||||
\(788\) | −2.17344e15 | − | 3.76450e15i | −0.254831 | − | 0.441381i | ||||
\(789\) | 1.95448e15 | − | 3.38526e15i | 0.227566 | − | 0.394157i | ||||
\(790\) | −6.17471e14 | −0.0713950 | ||||||||
\(791\) | 9.43854e15 | + | 1.35199e16i | 1.08376 | + | 1.55239i | ||||
\(792\) | 1.28330e15 | 0.146332 | ||||||||
\(793\) | 7.86723e14 | − | 1.36264e15i | 0.0890880 | − | 0.154305i | ||||
\(794\) | −4.46018e15 | − | 7.72526e15i | −0.501579 | − | 0.868760i | ||||
\(795\) | −4.26128e13 | − | 7.38075e13i | −0.00475905 | − | 0.00824292i | ||||
\(796\) | −3.53787e15 | + | 6.12776e15i | −0.392391 | + | 0.679642i | ||||
\(797\) | 5.98566e15 | 0.659313 | 0.329656 | − | 0.944101i | \(-0.393067\pi\) | ||||
0.329656 | + | 0.944101i | \(0.393067\pi\) | |||||||
\(798\) | −3.30040e14 | + | 2.84095e13i | −0.0361036 | + | 0.00310776i | ||||
\(799\) | −4.49977e14 | −0.0488858 | ||||||||
\(800\) | −8.14143e14 | + | 1.41014e15i | −0.0878427 | + | 0.152148i | ||||
\(801\) | 2.78789e15 | + | 4.82876e15i | 0.298742 | + | 0.517436i | ||||
\(802\) | 4.61919e15 | + | 8.00067e15i | 0.491594 | + | 0.851466i | ||||
\(803\) | −3.03834e15 | + | 5.26256e15i | −0.321145 | + | 0.556239i | ||||
\(804\) | −5.55282e14 | −0.0582915 | ||||||||
\(805\) | −1.82043e14 | + | 3.88970e14i | −0.0189800 | + | 0.0405545i | ||||
\(806\) | −6.94270e15 | −0.718928 | ||||||||
\(807\) | 3.45103e14 | − | 5.97736e14i | 0.0354931 | − | 0.0614759i | ||||
\(808\) | 2.72978e15 | + | 4.72811e15i | 0.278846 | + | 0.482976i | ||||
\(809\) | −1.44371e15 | − | 2.50057e15i | −0.146475 | − | 0.253701i | 0.783448 | − | 0.621458i | \(-0.213459\pi\) |
−0.929922 | + | 0.367757i | \(0.880126\pi\) | |||||||
\(810\) | −1.89499e14 | + | 3.28222e14i | −0.0190959 | + | 0.0330751i | ||||
\(811\) | 1.78899e16 | 1.79058 | 0.895290 | − | 0.445485i | \(-0.146969\pi\) | ||||
0.895290 | + | 0.445485i | \(0.146969\pi\) | |||||||
\(812\) | −2.90816e15 | + | 6.21386e15i | −0.289108 | + | 0.617737i | ||||
\(813\) | −4.90403e15 | −0.484234 | ||||||||
\(814\) | −2.19963e15 | + | 3.80988e15i | −0.215733 | + | 0.373660i | ||||
\(815\) | −2.17057e14 | − | 3.75953e14i | −0.0211449 | − | 0.0366241i | ||||
\(816\) | 4.47390e14 | + | 7.74903e14i | 0.0432903 | + | 0.0749810i | ||||
\(817\) | −4.30288e14 | + | 7.45280e14i | −0.0413559 | + | 0.0716306i | ||||
\(818\) | 1.06093e16 | 1.01285 | ||||||||
\(819\) | 1.28658e16 | − | 1.10747e15i | 1.22004 | − | 0.105020i | ||||
\(820\) | 2.48552e14 | 0.0234122 | ||||||||
\(821\) | −2.41355e14 | + | 4.18039e14i | −0.0225823 | + | 0.0391137i | −0.877096 | − | 0.480316i | \(-0.840522\pi\) |
0.854513 | + | 0.519429i | \(0.173855\pi\) | |||||||
\(822\) | −9.14553e14 | − | 1.58405e15i | −0.0849990 | − | 0.147223i | ||||
\(823\) | −2.43333e14 | − | 4.21465e14i | −0.0224648 | − | 0.0389101i | 0.854574 | − | 0.519329i | \(-0.173818\pi\) |
−0.877039 | + | 0.480419i | \(0.840485\pi\) | |||||||
\(824\) | 1.32466e15 | − | 2.29438e15i | 0.121480 | − | 0.210409i | ||||
\(825\) | 1.66439e15 | 0.151621 | ||||||||
\(826\) | −7.24558e15 | − | 1.03786e16i | −0.655667 | − | 0.939183i | ||||
\(827\) | −8.76609e15 | −0.787999 | −0.393999 | − | 0.919111i | \(-0.628909\pi\) | ||||
−0.393999 | + | 0.919111i | \(0.628909\pi\) | |||||||
\(828\) | −1.42303e15 | + | 2.46476e15i | −0.127071 | + | 0.220094i | ||||
\(829\) | 1.21459e15 | + | 2.10373e15i | 0.107741 | + | 0.186612i | 0.914855 | − | 0.403783i | \(-0.132305\pi\) |
−0.807114 | + | 0.590396i | \(0.798972\pi\) | |||||||
\(830\) | −5.38250e14 | − | 9.32277e14i | −0.0474302 | − | 0.0821515i | ||||
\(831\) | 1.86759e15 | − | 3.23475e15i | 0.163484 | − | 0.283162i | ||||
\(832\) | −1.97353e15 | −0.171619 | ||||||||
\(833\) | 1.20145e16 | − | 2.08383e15i | 1.03791 | − | 0.180017i | ||||
\(834\) | 5.31694e15 | 0.456298 | ||||||||
\(835\) | −4.65697e14 | + | 8.06612e14i | −0.0397034 | + | 0.0687684i | ||||
\(836\) | 2.13510e14 | + | 3.69811e14i | 0.0180836 | + | 0.0313217i | ||||
\(837\) | 2.73711e15 | + | 4.74081e15i | 0.230304 | + | 0.398898i | ||||
\(838\) | −6.22322e15 | + | 1.07789e16i | −0.520204 | + | 0.901019i | ||||
\(839\) | 1.72884e16 | 1.43570 | 0.717852 | − | 0.696196i | \(-0.245126\pi\) | ||||
0.717852 | + | 0.696196i | \(0.245126\pi\) | |||||||
\(840\) | 6.33667e13 | + | 9.07671e13i | 0.00522787 | + | 0.00748845i | ||||
\(841\) | 1.05013e16 | 0.860730 | ||||||||
\(842\) | 1.24758e15 | − | 2.16087e15i | 0.101590 | − | 0.175959i | ||||
\(843\) | −1.63307e14 | − | 2.82857e14i | −0.0132116 | − | 0.0228831i | ||||
\(844\) | 8.30064e14 | + | 1.43771e15i | 0.0667157 | + | 0.115555i | ||||
\(845\) | 4.35400e14 | − | 7.54136e14i | 0.0347678 | − | 0.0602196i | ||||
\(846\) | −3.68921e14 | −0.0292682 | ||||||||
\(847\) | −9.91830e15 | + | 8.53756e14i | −0.781769 | + | 0.0672938i | ||||
\(848\) | 1.17631e15 | 0.0921177 | ||||||||
\(849\) | 1.84350e15 | − | 3.19304e15i | 0.143434 | − | 0.248435i | ||||
\(850\) | −4.78811e15 | − | 8.29325e15i | −0.370135 | − | 0.641092i | ||||
\(851\) | −4.87828e15 | − | 8.44944e15i | −0.374675 | − | 0.648956i | ||||
\(852\) | −1.70256e14 | + | 2.94892e14i | −0.0129923 | + | 0.0225032i | ||||
\(853\) | −2.28186e16 | −1.73009 | −0.865045 | − | 0.501693i | \(-0.832711\pi\) | ||||
−0.865045 | + | 0.501693i | \(0.832711\pi\) | |||||||
\(854\) | 5.16352e14 | − | 1.10329e15i | 0.0388980 | − | 0.0831132i | ||||
\(855\) | −1.45942e14 | −0.0109236 | ||||||||
\(856\) | −1.24282e13 | + | 2.15264e13i | −0.000924281 | + | 0.00160090i | ||||
\(857\) | −7.62521e15 | − | 1.32072e16i | −0.563452 | − | 0.975928i | −0.997192 | − | 0.0748895i | \(-0.976140\pi\) |
0.433740 | − | 0.901038i | \(-0.357194\pi\) | |||||||
\(858\) | 1.00865e15 | + | 1.74703e15i | 0.0740559 | + | 0.128269i | ||||
\(859\) | −5.60743e15 | + | 9.71235e15i | −0.409074 | + | 0.708536i | −0.994786 | − | 0.101983i | \(-0.967481\pi\) |
0.585713 | + | 0.810519i | \(0.300815\pi\) | |||||||
\(860\) | 2.87580e14 | 0.0208457 | ||||||||
\(861\) | −1.15309e15 | + | 2.46380e15i | −0.0830511 | + | 0.177455i | ||||
\(862\) | 6.47271e15 | 0.463229 | ||||||||
\(863\) | −4.21043e15 | + | 7.29268e15i | −0.299410 | + | 0.518594i | −0.976001 | − | 0.217765i | \(-0.930123\pi\) |
0.676591 | + | 0.736359i | \(0.263457\pi\) | |||||||
\(864\) | 7.78051e14 | + | 1.34762e15i | 0.0549772 | + | 0.0952233i | ||||
\(865\) | 1.65777e14 | + | 2.87134e14i | 0.0116395 | + | 0.0201602i | ||||
\(866\) | 3.00721e15 | − | 5.20864e15i | 0.209805 | − | 0.363392i | ||||
\(867\) | −5.20028e14 | −0.0360513 | ||||||||
\(868\) | −5.35513e15 | + | 4.60963e14i | −0.368902 | + | 0.0317547i | ||||
\(869\) | −8.71149e15 | −0.596326 | ||||||||
\(870\) | 1.83147e14 | − | 3.17220e14i | 0.0124579 | − | 0.0215777i | ||||
\(871\) | 3.60143e15 | + | 6.23786e15i | 0.243430 | + | 0.421634i | ||||
\(872\) | 3.53399e15 | + | 6.12105e15i | 0.237369 | + | 0.411135i | ||||
\(873\) | 1.04073e16 | − | 1.80260e16i | 0.694642 | − | 1.20316i | ||||
\(874\) | −9.47034e14 | −0.0628135 | ||||||||
\(875\) | −1.36055e15 | − | 1.94887e15i | −0.0896749 | − | 0.128451i | ||||
\(876\) | −3.47375e15 | −0.227523 | ||||||||
\(877\) | −1.02086e16 | + | 1.76817e16i | −0.664456 | + | 1.15087i | 0.314976 | + | 0.949100i | \(0.398004\pi\) |
−0.979432 | + | 0.201773i | \(0.935330\pi\) | |||||||
\(878\) | −7.01592e14 | − | 1.21519e15i | −0.0453800 | − | 0.0786005i | ||||
\(879\) | 2.03694e15 | + | 3.52808e15i | 0.130930 | + | 0.226777i | ||||
\(880\) | 7.13491e13 | − | 1.23580e14i | 0.00455757 | − | 0.00789395i | ||||
\(881\) | −1.92701e16 | −1.22326 | −0.611628 | − | 0.791146i | \(-0.709485\pi\) | ||||
−0.611628 | + | 0.791146i | \(0.709485\pi\) | |||||||
\(882\) | 9.85029e15 | − | 1.70846e15i | 0.621401 | − | 0.107777i | ||||
\(883\) | 7.56546e15 | 0.474298 | 0.237149 | − | 0.971473i | \(-0.423787\pi\) | ||||
0.237149 | + | 0.971473i | \(0.423787\pi\) | |||||||
\(884\) | 5.80334e15 | − | 1.00517e16i | 0.361568 | − | 0.626255i | ||||
\(885\) | 3.37895e14 | + | 5.85251e14i | 0.0209215 | + | 0.0362372i | ||||
\(886\) | −3.65975e15 | − | 6.33888e15i | −0.225199 | − | 0.390056i | ||||
\(887\) | 6.90836e14 | − | 1.19656e15i | 0.0422469 | − | 0.0731738i | −0.844129 | − | 0.536140i | \(-0.819882\pi\) |
0.886376 | + | 0.462967i | \(0.153215\pi\) | |||||||
\(888\) | −2.51485e15 | −0.152841 | ||||||||
\(889\) | −1.77804e16 | − | 2.54688e16i | −1.07394 | − | 1.53833i | ||||
\(890\) | 6.20005e14 | 0.0372178 | ||||||||
\(891\) | −2.67352e15 | + | 4.63067e15i | −0.159498 | + | 0.276259i | ||||
\(892\) | 1.72062e15 | + | 2.98021e15i | 0.102019 | + | 0.176701i | ||||
\(893\) | −6.13796e13 | − | 1.06313e14i | −0.00361694 | − | 0.00626472i | ||||
\(894\) | 1.65469e15 | − | 2.86600e15i | 0.0969079 | − | 0.167849i | ||||
\(895\) | 2.67082e15 | 0.155460 | ||||||||
\(896\) | −1.52225e15 | + | 1.31033e14i | −0.0880627 | + | 0.00758033i | ||||
\(897\) | −4.47390e15 | −0.257234 | ||||||||
\(898\) | 3.32155e15 | − | 5.75309e15i | 0.189811 | − | 0.328761i | ||||
\(899\) | 8.89271e15 | + | 1.54026e16i | 0.505075 | + | 0.874816i | ||||
\(900\) | −3.92561e15 | − | 6.79935e15i | −0.221602 | − | 0.383826i | ||||
\(901\) | −3.45902e15 | + | 5.99121e15i | −0.194074 | + | 0.336146i | ||||
\(902\) | 3.50666e15 | 0.195550 | ||||||||
\(903\) | −1.33415e15 | + | 2.85066e15i | −0.0739470 | + | 0.158002i | ||||
\(904\) | 1.21505e16 | 0.669371 | ||||||||
\(905\) | −3.49345e14 | + | 6.05084e14i | −0.0191288 | + | 0.0331321i | ||||
\(906\) | −8.20757e13 | − | 1.42159e14i | −0.00446693 | − | 0.00773695i | ||||
\(907\) | 1.61522e15 | + | 2.79764e15i | 0.0873757 | + | 0.151339i | 0.906401 | − | 0.422418i | \(-0.138819\pi\) |
−0.819025 | + | 0.573757i | \(0.805485\pi\) | |||||||
\(908\) | 1.06219e15 | − | 1.83978e15i | 0.0571126 | − | 0.0989219i | ||||
\(909\) | −2.63247e16 | −1.40690 | ||||||||
\(910\) | 6.08667e14 | − | 1.30054e15i | 0.0323334 | − | 0.0690867i | ||||
\(911\) | −1.19187e16 | −0.629330 | −0.314665 | − | 0.949203i | \(-0.601892\pi\) | ||||
−0.314665 | + | 0.949203i | \(0.601892\pi\) | |||||||
\(912\) | −1.22054e14 | + | 2.11403e14i | −0.00640588 | + | 0.0110953i | ||||
\(913\) | −7.59381e15 | − | 1.31529e16i | −0.396160 | − | 0.686169i | ||||
\(914\) | 8.98610e15 | + | 1.55644e16i | 0.465980 | + | 0.807100i | ||||
\(915\) | −3.25182e13 | + | 5.63232e13i | −0.00167614 | + | 0.00290316i | ||||
\(916\) | 3.51964e15 | 0.180332 | ||||||||
\(917\) | 1.89791e16 | − | 1.63369e15i | 0.966592 | − | 0.0832031i | ||||
\(918\) | −9.15170e15 | −0.463305 | ||||||||
\(919\) | 9.02982e15 | − | 1.56401e16i | 0.454406 | − | 0.787054i | −0.544248 | − | 0.838924i | \(-0.683185\pi\) |
0.998654 | + | 0.0518705i | \(0.0165183\pi\) | |||||||
\(920\) | 1.58236e14 | + | 2.74073e14i | 0.00791538 | + | 0.0137098i | ||||
\(921\) | 6.39739e15 | + | 1.10806e16i | 0.318108 | + | 0.550979i | ||||
\(922\) | 4.13594e15 | − | 7.16365e15i | 0.204434 | − | 0.354091i | ||||
\(923\) | 4.41696e15 | 0.217027 | ||||||||
\(924\) | 8.93998e14 | + | 1.28057e15i | 0.0436657 | + | 0.0625472i | ||||
\(925\) | 2.69147e16 | 1.30680 | ||||||||
\(926\) | −9.64940e15 | + | 1.67133e16i | −0.465736 | + | 0.806679i | ||||
\(927\) | 6.38720e15 | + | 1.10630e16i | 0.306459 | + | 0.530802i | ||||
\(928\) | 2.52785e15 | + | 4.37836e15i | 0.120569 | + | 0.208832i | ||||
\(929\) | 1.75307e16 | − | 3.03641e16i | 0.831215 | − | 1.43971i | −0.0658599 | − | 0.997829i | \(-0.520979\pi\) |
0.897075 | − | 0.441878i | \(-0.145688\pi\) | |||||||
\(930\) | 2.86968e14 | 0.0135262 | ||||||||
\(931\) | 2.13118e15 | + | 2.55433e15i | 0.0998613 | + | 0.119689i | ||||
\(932\) | −9.36425e14 | −0.0436200 | ||||||||
\(933\) | −5.23575e15 | + | 9.06859e15i | −0.242454 | + | 0.419943i | ||||
\(934\) | 5.10701e15 | + | 8.84561e15i | 0.235104 | + | 0.407211i | ||||
\(935\) | 4.19616e14 | + | 7.26796e14i | 0.0192038 | + | 0.0332620i | ||||
\(936\) | 4.75796e15 | − | 8.24103e15i | 0.216473 | − | 0.374942i | ||||
\(937\) | −2.84640e16 | −1.28745 | −0.643723 | − | 0.765259i | \(-0.722611\pi\) | ||||
−0.643723 | + | 0.765259i | \(0.722611\pi\) | |||||||
\(938\) | 3.19206e15 | + | 4.57234e15i | 0.143534 | + | 0.205600i | ||||
\(939\) | 4.24296e15 | 0.189674 | ||||||||
\(940\) | −2.05113e13 | + | 3.55266e13i | −0.000911570 | + | 0.00157888i | ||||
\(941\) | 1.44712e16 | + | 2.50649e16i | 0.639385 | + | 1.10745i | 0.985568 | + | 0.169281i | \(0.0541444\pi\) |
−0.346183 | + | 0.938167i | \(0.612522\pi\) | |||||||
\(942\) | −8.44423e14 | − | 1.46258e15i | −0.0370920 | − | 0.0642452i | ||||
\(943\) | −3.88848e15 | + | 6.73504e15i | −0.169811 | + | 0.294121i | ||||
\(944\) | −9.32743e15 | −0.404964 | ||||||||
\(945\) | −1.12803e15 | + | 9.70995e13i | −0.0486907 | + | 0.00419124i | ||||
\(946\) | 4.05727e15 | 0.174114 | ||||||||
\(947\) | 6.05924e15 | − | 1.04949e16i | 0.258519 | − | 0.447769i | −0.707326 | − | 0.706887i | \(-0.750099\pi\) |
0.965845 | + | 0.259119i | \(0.0834321\pi\) | |||||||
\(948\) | −2.48997e15 | − | 4.31275e15i | −0.105620 | − | 0.182940i | ||||
\(949\) | 2.25299e16 | + | 3.90229e16i | 0.950157 | + | 1.64572i | ||||
\(950\) | 1.30625e15 | − | 2.26250e15i | 0.0547707 | − | 0.0948656i | ||||
\(951\) | −3.79177e15 | −0.158070 | ||||||||
\(952\) | 3.80892e15 | − | 8.13850e15i | 0.157870 | − | 0.337319i | ||||
\(953\) | 1.88726e16 | 0.777715 | 0.388858 | − | 0.921298i | \(-0.372870\pi\) | ||||
0.388858 | + | 0.921298i | \(0.372870\pi\) | |||||||
\(954\) | −2.83594e15 | + | 4.91199e15i | −0.116193 | + | 0.201252i | ||||
\(955\) | 1.11159e15 | + | 1.92533e15i | 0.0452820 | + | 0.0784306i | ||||
\(956\) | −7.95139e15 | − | 1.37722e16i | −0.322051 | − | 0.557809i | ||||
\(957\) | 2.58390e15 | − | 4.47545e15i | 0.104054 | − | 0.180227i | ||||
\(958\) | −2.05977e16 | −0.824725 | ||||||||
\(959\) | −7.78617e15 | + | 1.66367e16i | −0.309971 | + | 0.662315i | ||||
\(960\) | 8.15736e13 | 0.00322892 | ||||||||
\(961\) | 5.73738e15 | − | 9.93743e15i | 0.225806 | − | 0.391107i | ||||
\(962\) | 1.63107e16 | + | 2.82510e16i | 0.638279 | + | 1.10553i | ||||
\(963\) | −5.99262e13 | − | 1.03795e14i | −0.00233170 | − | 0.00403861i | ||||
\(964\) | 1.24622e15 | − | 2.15852e15i | 0.0482139 | − | 0.0835090i | ||||
\(965\) | 2.47605e15 | 0.0952487 | ||||||||
\(966\) | −3.45086e15 | + | 2.97046e14i | −0.131994 | + | 0.0113619i | ||||
\(967\) | 2.86250e16 | 1.08868 | 0.544339 | − | 0.838865i | \(-0.316780\pi\) | ||||
0.544339 | + | 0.838865i | \(0.316780\pi\) | |||||||
\(968\) | −3.66793e15 | + | 6.35304e15i | −0.138710 | + | 0.240252i | ||||
\(969\) | −7.17817e14 | − | 1.24330e15i | −0.0269919 | − | 0.0467513i | ||||
\(970\) | −1.15726e15 | − | 2.00443e15i | −0.0432698 | − | 0.0749455i | ||||
\(971\) | −1.20361e16 | + | 2.08472e16i | −0.447488 | + | 0.775072i | −0.998222 | − | 0.0596088i | \(-0.981015\pi\) |
0.550734 | + | 0.834681i | \(0.314348\pi\) | |||||||
\(972\) | −1.14691e16 | −0.423998 | ||||||||
\(973\) | −3.05647e16 | − | 4.37811e16i | −1.12357 | − | 1.60941i | ||||
\(974\) | −2.06040e16 | −0.753143 | ||||||||
\(975\) | 6.17090e15 | − | 1.06883e16i | 0.224297 | − | 0.388494i | ||||
\(976\) | −4.48825e14 | − | 7.77388e14i | −0.0162220 | − | 0.0280973i | ||||
\(977\) | −5.48333e15 | − | 9.49740e15i | −0.197072 | − | 0.341338i | 0.750506 | − | 0.660864i | \(-0.229810\pi\) |
−0.947578 | + | 0.319526i | \(0.896476\pi\) | |||||||
\(978\) | 1.75057e15 | − | 3.03208e15i | 0.0625628 | − | 0.108362i | ||||
\(979\) | 8.74724e15 | 0.310861 | ||||||||
\(980\) | 3.83135e14 | − | 1.04356e15i | 0.0135397 | − | 0.0368785i | ||||
\(981\) | −3.40801e16 | −1.19763 | ||||||||
\(982\) | −3.03441e15 | + | 5.25576e15i | −0.106038 | + | 0.183663i | ||||
\(983\) | −2.04851e16 | − | 3.54812e16i | −0.711858 | − | 1.23297i | −0.964159 | − | 0.265325i | \(-0.914521\pi\) |
0.252301 | − | 0.967649i | \(-0.418813\pi\) | |||||||
\(984\) | 1.00229e15 | + | 1.73602e15i | 0.0346355 | + | 0.0599904i | ||||
\(985\) | 1.16531e15 | − | 2.01838e15i | 0.0400446 | − | 0.0693593i | ||||
\(986\) | −2.97334e16 | −1.01606 | ||||||||
\(987\) | −2.57005e14 | − | 3.68136e14i | −0.00873367 | − | 0.0125102i | ||||
\(988\) | 3.16644e15 | 0.107006 | ||||||||
\(989\) | −4.49904e15 | + | 7.79257e15i | −0.151196 | + | 0.261879i | ||||
\(990\) | 3.44029e14 | + | 5.95875e14i | 0.0114974 | + | 0.0199142i | ||||
\(991\) | 1.05299e16 | + | 1.82383e16i | 0.349959 | + | 0.606147i | 0.986242 | − | 0.165309i | \(-0.0528621\pi\) |
−0.636283 | + | 0.771456i | \(0.719529\pi\) | |||||||
\(992\) | −1.98040e15 | + | 3.43016e15i | −0.0654545 | + | 0.113370i | ||||
\(993\) | −3.64729e15 | −0.119881 | ||||||||
\(994\) | 3.40695e15 | − | 2.93266e14i | 0.111363 | − | 0.00958597i | ||||
\(995\) | −3.79374e15 | −0.123322 | ||||||||
\(996\) | 4.34101e15 | − | 7.51885e15i | 0.140335 | − | 0.243067i | ||||
\(997\) | −4.12971e15 | − | 7.15286e15i | −0.132769 | − | 0.229962i | 0.791974 | − | 0.610555i | \(-0.209053\pi\) |
−0.924743 | + | 0.380592i | \(0.875720\pi\) | |||||||
\(998\) | −5.77533e15 | − | 1.00032e16i | −0.184654 | − | 0.319830i | ||||
\(999\) | 1.28608e16 | − | 2.22755e16i | 0.408937 | − | 0.708300i |
(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 | 14.12.c.b.9.3 | ✓ | 8 | |
3.2 | odd | 2 | 126.12.g.c.37.3 | 8 | |||
4.3 | odd | 2 | 112.12.i.b.65.2 | 8 | |||
7.2 | even | 3 | 98.12.a.i.1.2 | 4 | |||
7.3 | odd | 6 | 98.12.c.n.67.2 | 8 | |||
7.4 | even | 3 | inner | 14.12.c.b.11.3 | yes | 8 | |
7.5 | odd | 6 | 98.12.a.h.1.3 | 4 | |||
7.6 | odd | 2 | 98.12.c.n.79.2 | 8 | |||
21.11 | odd | 6 | 126.12.g.c.109.3 | 8 | |||
28.11 | odd | 6 | 112.12.i.b.81.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.12.c.b.9.3 | ✓ | 8 | 1.1 | even | 1 | trivial | |
14.12.c.b.11.3 | yes | 8 | 7.4 | even | 3 | inner | |
98.12.a.h.1.3 | 4 | 7.5 | odd | 6 | |||
98.12.a.i.1.2 | 4 | 7.2 | even | 3 | |||
98.12.c.n.67.2 | 8 | 7.3 | odd | 6 | |||
98.12.c.n.79.2 | 8 | 7.6 | odd | 2 | |||
112.12.i.b.65.2 | 8 | 4.3 | odd | 2 | |||
112.12.i.b.81.2 | 8 | 28.11 | odd | 6 | |||
126.12.g.c.37.3 | 8 | 3.2 | odd | 2 | |||
126.12.g.c.109.3 | 8 | 21.11 | odd | 6 |