Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [9,9,Mod(2,9)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(9, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("9.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 9 = 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 9.d (of order \(6\), 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: | \(3.66640749055\) |
Analytic rank: | \(0\) |
Dimension: | \(14\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{14} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{14} - x^{13} + 427 x^{12} - 1362 x^{11} + 135762 x^{10} - 371244 x^{9} + 18261508 x^{8} + \cdots + 872385888256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{6}\cdot 3^{21} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 5.7 | ||
Root | \(-8.68602 + 15.0446i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 9.5 |
Dual form | 9.9.d.a.2.7 |
$q$-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 \(\left(\mathbb{Z}/9\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 26.0581 | − | 15.0446i | 1.62863 | − | 0.940289i | 0.644126 | − | 0.764919i | \(-0.277221\pi\) |
0.984503 | − | 0.175370i | \(-0.0561121\pi\) | |||||||
\(3\) | −77.6435 | − | 23.0757i | −0.958562 | − | 0.284885i | ||||
\(4\) | 324.682 | − | 562.365i | 1.26829 | − | 2.19674i | ||||
\(5\) | 189.131 | + | 109.195i | 0.302609 | + | 0.174711i | 0.643614 | − | 0.765350i | \(-0.277434\pi\) |
−0.341005 | + | 0.940061i | \(0.610767\pi\) | |||||||
\(6\) | −2370.40 | + | 566.810i | −1.82902 | + | 0.437354i | ||||
\(7\) | 1404.67 | + | 2432.96i | 0.585035 | + | 1.01331i | 0.994871 | + | 0.101151i | \(0.0322527\pi\) |
−0.409836 | + | 0.912159i | \(0.634414\pi\) | |||||||
\(8\) | − | 11836.0i | − | 2.88965i | ||||||
\(9\) | 5496.03 | + | 3583.35i | 0.837681 | + | 0.546159i | ||||
\(10\) | 6571.17 | 0.657117 | ||||||||
\(11\) | −4502.73 | + | 2599.65i | −0.307543 | + | 0.177560i | −0.645826 | − | 0.763484i | \(-0.723487\pi\) |
0.338284 | + | 0.941044i | \(0.390154\pi\) | |||||||
\(12\) | −38186.4 | + | 36171.7i | −1.84155 | + | 1.74439i | ||||
\(13\) | −5261.39 | + | 9112.99i | −0.184216 | + | 0.319071i | −0.943312 | − | 0.331907i | \(-0.892308\pi\) |
0.759096 | + | 0.650978i | \(0.225641\pi\) | |||||||
\(14\) | 73205.9 | + | 42265.5i | 1.90561 | + | 1.10020i | ||||
\(15\) | −12165.0 | − | 12842.6i | −0.240297 | − | 0.253680i | ||||
\(16\) | −94949.8 | − | 164458.i | −1.44882 | − | 2.50943i | ||||
\(17\) | 15221.5i | 0.182247i | 0.995840 | + | 0.0911236i | \(0.0290458\pi\) | ||||
−0.995840 | + | 0.0911236i | \(0.970954\pi\) | |||||||
\(18\) | 197126. | + | 10689.5i | 1.87782 | + | 0.101828i | ||||
\(19\) | −92696.3 | −0.711292 | −0.355646 | − | 0.934621i | \(-0.615739\pi\) | ||||
−0.355646 | + | 0.934621i | \(0.615739\pi\) | |||||||
\(20\) | 122815. | − | 70907.0i | 0.767591 | − | 0.443169i | ||||
\(21\) | −52921.3 | − | 221317.i | −0.272116 | − | 1.13799i | ||||
\(22\) | −78221.6 | + | 135484.i | −0.333915 | + | 0.578358i | ||||
\(23\) | −53108.9 | − | 30662.4i | −0.189782 | − | 0.109571i | 0.402098 | − | 0.915597i | \(-0.368281\pi\) |
−0.591881 | + | 0.806026i | \(0.701614\pi\) | |||||||
\(24\) | −273124. | + | 918989.i | −0.823217 | + | 2.76991i | ||||
\(25\) | −171466. | − | 296987.i | −0.438952 | − | 0.760287i | ||||
\(26\) | 316622.i | 0.692865i | ||||||||
\(27\) | −344043. | − | 405048.i | −0.647377 | − | 0.762170i | ||||
\(28\) | 1.82428e6 | 2.96797 | ||||||||
\(29\) | 759877. | − | 438715.i | 1.07436 | − | 0.620284i | 0.144993 | − | 0.989433i | \(-0.453684\pi\) |
0.929370 | + | 0.369149i | \(0.120351\pi\) | |||||||
\(30\) | −510209. | − | 151634.i | −0.629887 | − | 0.187203i | ||||
\(31\) | −814808. | + | 1.41129e6i | −0.882284 | + | 1.52816i | −0.0334881 | + | 0.999439i | \(0.510662\pi\) |
−0.848796 | + | 0.528721i | \(0.822672\pi\) | |||||||
\(32\) | −2.32434e6 | − | 1.34196e6i | −2.21667 | − | 1.27979i | ||||
\(33\) | 409597. | − | 97942.6i | 0.345383 | − | 0.0825878i | ||||
\(34\) | 229001. | + | 396642.i | 0.171365 | + | 0.296813i | ||||
\(35\) | 613530.i | 0.408849i | ||||||||
\(36\) | 3.79961e6 | − | 1.92732e6i | 2.26219 | − | 1.14748i | ||||
\(37\) | −1.66998e6 | −0.891055 | −0.445528 | − | 0.895268i | \(-0.646984\pi\) | ||||
−0.445528 | + | 0.895268i | \(0.646984\pi\) | |||||||
\(38\) | −2.41549e6 | + | 1.39458e6i | −1.15843 | + | 0.668820i | ||||
\(39\) | 618801. | − | 586154.i | 0.267481 | − | 0.253369i | ||||
\(40\) | 1.29243e6 | − | 2.23855e6i | 0.504855 | − | 0.874434i | ||||
\(41\) | 4.15258e6 | + | 2.39749e6i | 1.46954 | + | 0.848442i | 0.999417 | − | 0.0341559i | \(-0.0108743\pi\) |
0.470128 | + | 0.882598i | \(0.344208\pi\) | |||||||
\(42\) | −4.70866e6 | − | 4.97091e6i | −1.51321 | − | 1.59749i | ||||
\(43\) | 256358. | + | 444024.i | 0.0749846 | + | 0.129877i | 0.901080 | − | 0.433654i | \(-0.142776\pi\) |
−0.826095 | + | 0.563531i | \(0.809443\pi\) | |||||||
\(44\) | 3.37624e6i | 0.900788i | ||||||||
\(45\) | 648185. | + | 1.27786e6i | 0.158070 | + | 0.311625i | ||||
\(46\) | −1.84522e6 | −0.412113 | ||||||||
\(47\) | 1.08416e6 | − | 625937.i | 0.222177 | − | 0.128274i | −0.384781 | − | 0.923008i | \(-0.625723\pi\) |
0.606958 | + | 0.794734i | \(0.292390\pi\) | |||||||
\(48\) | 3.57726e6 | + | 1.49601e7i | 0.673884 | + | 2.81819i | ||||
\(49\) | −1.06379e6 | + | 1.84254e6i | −0.184532 | + | 0.319619i | ||||
\(50\) | −8.93612e6 | − | 5.15927e6i | −1.42978 | − | 0.825483i | ||||
\(51\) | 351246. | − | 1.18185e6i | 0.0519195 | − | 0.174695i | ||||
\(52\) | 3.41655e6 | + | 5.91764e6i | 0.467277 | + | 0.809348i | ||||
\(53\) | − | 8.87435e6i | − | 1.12469i | −0.826903 | − | 0.562345i | \(-0.809899\pi\) | ||
0.826903 | − | 0.562345i | \(-0.190101\pi\) | |||||||
\(54\) | −1.50589e7 | − | 5.37879e6i | −1.77100 | − | 0.632571i | ||||
\(55\) | −1.13547e6 | −0.124087 | ||||||||
\(56\) | 2.87965e7 | − | 1.66257e7i | 2.92811 | − | 1.69055i | ||||
\(57\) | 7.19727e6 | + | 2.13903e6i | 0.681818 | + | 0.202636i | ||||
\(58\) | 1.32006e7 | − | 2.28641e7i | 1.16649 | − | 2.02043i | ||||
\(59\) | −8.34796e6 | − | 4.81970e6i | −0.688926 | − | 0.397752i | 0.114284 | − | 0.993448i | \(-0.463543\pi\) |
−0.803210 | + | 0.595697i | \(0.796876\pi\) | |||||||
\(60\) | −1.11720e7 | + | 2.67144e6i | −0.862035 | + | 0.206130i | ||||
\(61\) | −4.51315e6 | − | 7.81701e6i | −0.325957 | − | 0.564574i | 0.655748 | − | 0.754979i | \(-0.272353\pi\) |
−0.981706 | + | 0.190405i | \(0.939020\pi\) | |||||||
\(62\) | 4.90339e7i | 3.31841i | ||||||||
\(63\) | −998047. | + | 1.84050e7i | −0.0633561 | + | 1.16835i | ||||
\(64\) | −3.21428e7 | −1.91586 | ||||||||
\(65\) | −1.99018e6 | + | 1.14903e6i | −0.111491 | + | 0.0643692i | ||||
\(66\) | 9.19978e6 | − | 8.71442e6i | 0.484844 | − | 0.459265i | ||||
\(67\) | −5.32613e6 | + | 9.22513e6i | −0.264309 | + | 0.457797i | −0.967382 | − | 0.253320i | \(-0.918477\pi\) |
0.703073 | + | 0.711118i | \(0.251811\pi\) | |||||||
\(68\) | 8.56002e6 | + | 4.94213e6i | 0.400350 | + | 0.231142i | ||||
\(69\) | 3.41600e6 | + | 3.60626e6i | 0.150703 | + | 0.159097i | ||||
\(70\) | 9.23033e6 | + | 1.59874e7i | 0.384437 | + | 0.665864i | ||||
\(71\) | − | 2.16518e7i | − | 0.852042i | −0.904713 | − | 0.426021i | \(-0.859915\pi\) | ||
0.904713 | − | 0.426021i | \(-0.140085\pi\) | |||||||
\(72\) | 4.24126e7 | − | 6.50510e7i | 1.57821 | − | 2.42061i | ||||
\(73\) | 2.00444e7 | 0.705833 | 0.352917 | − | 0.935655i | \(-0.385190\pi\) | ||||
0.352917 | + | 0.935655i | \(0.385190\pi\) | |||||||
\(74\) | −4.35165e7 | + | 2.51242e7i | −1.45120 | + | 0.837850i | ||||
\(75\) | 6.46001e6 | + | 2.70158e7i | 0.204168 | + | 0.853833i | ||||
\(76\) | −3.00968e7 | + | 5.21292e7i | −0.902123 | + | 1.56252i | ||||
\(77\) | −1.26497e7 | − | 7.30331e6i | −0.359847 | − | 0.207758i | ||||
\(78\) | 7.30628e6 | − | 2.45837e7i | 0.197387 | − | 0.664153i | ||||
\(79\) | −2.83077e7 | − | 4.90305e7i | −0.726770 | − | 1.25880i | −0.958241 | − | 0.285961i | \(-0.907687\pi\) |
0.231471 | − | 0.972842i | \(-0.425646\pi\) | |||||||
\(80\) | − | 4.14720e7i | − | 1.01250i | ||||||
\(81\) | 1.73659e7 | + | 3.93884e7i | 0.403420 | + | 0.915015i | ||||
\(82\) | 1.44278e8 | 3.19112 | ||||||||
\(83\) | −1.29077e6 | + | 745226.i | −0.0271980 | + | 0.0157028i | −0.513537 | − | 0.858067i | \(-0.671665\pi\) |
0.486339 | + | 0.873770i | \(0.338332\pi\) | |||||||
\(84\) | −1.41644e8 | − | 4.20965e7i | −2.84498 | − | 0.845530i | ||||
\(85\) | −1.66210e6 | + | 2.87885e6i | −0.0318407 | + | 0.0551497i | ||||
\(86\) | 1.33604e7 | + | 7.71361e6i | 0.244244 | + | 0.141014i | ||||
\(87\) | −6.91232e7 | + | 1.65287e7i | −1.20655 | + | 0.288511i | ||||
\(88\) | 3.07695e7 | + | 5.32944e7i | 0.513086 | + | 0.888691i | ||||
\(89\) | − | 5.42495e7i | − | 0.864641i | −0.901720 | − | 0.432321i | \(-0.857695\pi\) | ||
0.901720 | − | 0.432321i | \(-0.142305\pi\) | |||||||
\(90\) | 3.61153e7 | + | 2.35468e7i | 0.550455 | + | 0.358891i | ||||
\(91\) | −2.95620e7 | −0.431091 | ||||||||
\(92\) | −3.44870e7 | + | 1.99111e7i | −0.481397 | + | 0.277935i | ||||
\(93\) | 9.58309e7 | − | 9.07751e7i | 1.28107 | − | 1.21349i | ||||
\(94\) | 1.88340e7 | − | 3.26214e7i | 0.241230 | − | 0.417822i | ||||
\(95\) | −1.75317e7 | − | 1.01219e7i | −0.215244 | − | 0.124271i | ||||
\(96\) | 1.49503e8 | + | 1.57830e8i | 1.76022 | + | 1.85825i | ||||
\(97\) | −3.06695e6 | − | 5.31212e6i | −0.0346434 | − | 0.0600041i | 0.848184 | − | 0.529702i | \(-0.177696\pi\) |
−0.882827 | + | 0.469698i | \(0.844363\pi\) | |||||||
\(98\) | 6.40174e7i | 0.694055i | ||||||||
\(99\) | −3.40626e7 | − | 1.84711e6i | −0.354599 | − | 0.0192288i | ||||
\(100\) | −2.22687e8 | −2.22687 | ||||||||
\(101\) | 8.02563e7 | − | 4.63360e7i | 0.771247 | − | 0.445280i | −0.0620722 | − | 0.998072i | \(-0.519771\pi\) |
0.833319 | + | 0.552792i | \(0.186438\pi\) | |||||||
\(102\) | −8.62769e6 | − | 3.60810e7i | −0.0797065 | − | 0.333333i | ||||
\(103\) | −9.31684e7 | + | 1.61372e8i | −0.827789 | + | 1.43377i | 0.0719798 | + | 0.997406i | \(0.477068\pi\) |
−0.899769 | + | 0.436367i | \(0.856265\pi\) | |||||||
\(104\) | 1.07861e8 | + | 6.22738e7i | 0.922004 | + | 0.532319i | ||||
\(105\) | 1.41576e7 | − | 4.76366e7i | 0.116475 | − | 0.391907i | ||||
\(106\) | −1.33511e8 | − | 2.31248e8i | −1.05753 | − | 1.83170i | ||||
\(107\) | 2.13043e8i | 1.62530i | 0.582754 | + | 0.812648i | \(0.301975\pi\) | ||||
−0.582754 | + | 0.812648i | \(0.698025\pi\) | |||||||
\(108\) | −3.39489e8 | + | 6.19657e7i | −2.49535 | + | 0.455466i | ||||
\(109\) | 1.52786e8 | 1.08238 | 0.541188 | − | 0.840901i | \(-0.317975\pi\) | ||||
0.541188 | + | 0.840901i | \(0.317975\pi\) | |||||||
\(110\) | −2.95882e7 | + | 1.70828e7i | −0.202092 | + | 0.116678i | ||||
\(111\) | 1.29663e8 | + | 3.85359e7i | 0.854132 | + | 0.253848i | ||||
\(112\) | 2.66746e8 | − | 4.62018e8i | 1.69522 | − | 2.93621i | ||||
\(113\) | 2.32734e8 | + | 1.34369e8i | 1.42740 | + | 0.824109i | 0.996915 | − | 0.0784888i | \(-0.0250095\pi\) |
0.430484 | + | 0.902598i | \(0.358343\pi\) | |||||||
\(114\) | 2.19728e8 | − | 5.25412e7i | 1.30096 | − | 0.311086i | ||||
\(115\) | −6.69635e6 | − | 1.15984e7i | −0.0382866 | − | 0.0663143i | ||||
\(116\) | − | 5.69771e8i | − | 3.14679i | ||||||
\(117\) | −6.15718e7 | + | 3.12318e7i | −0.328578 | + | 0.166669i | ||||
\(118\) | −2.90042e8 | −1.49601 | ||||||||
\(119\) | −3.70332e7 | + | 2.13811e7i | −0.184673 | + | 0.106621i | ||||
\(120\) | −1.52005e8 | + | 1.43985e8i | −0.733048 | + | 0.694374i | ||||
\(121\) | −9.36630e7 | + | 1.62229e8i | −0.436945 | + | 0.756811i | ||||
\(122\) | −2.35208e8 | − | 1.35797e8i | −1.06173 | − | 0.612988i | ||||
\(123\) | −2.67097e8 | − | 2.81974e8i | −1.16694 | − | 1.23194i | ||||
\(124\) | 5.29106e8 | + | 9.16439e8i | 2.23798 | + | 3.87629i | ||||
\(125\) | − | 1.60201e8i | − | 0.656183i | ||||||
\(126\) | 2.50890e8 | + | 4.94615e8i | 0.995407 | + | 1.96239i | ||||
\(127\) | 6.54444e7 | 0.251569 | 0.125785 | − | 0.992058i | \(-0.459855\pi\) | ||||
0.125785 | + | 0.992058i | \(0.459855\pi\) | |||||||
\(128\) | −2.42548e8 | + | 1.40035e8i | −0.903563 | + | 0.521672i | ||||
\(129\) | −9.65834e6 | − | 4.03912e7i | −0.0348774 | − | 0.145857i | ||||
\(130\) | −3.45735e7 | + | 5.98830e7i | −0.121051 | + | 0.209667i | ||||
\(131\) | −2.29305e7 | − | 1.32389e7i | −0.0778624 | − | 0.0449539i | 0.460563 | − | 0.887627i | \(-0.347647\pi\) |
−0.538426 | + | 0.842673i | \(0.680981\pi\) | |||||||
\(132\) | 7.79090e7 | − | 2.62143e8i | 0.256621 | − | 0.863461i | ||||
\(133\) | −1.30208e8 | − | 2.25526e8i | −0.416131 | − | 0.720760i | ||||
\(134\) | 3.20518e8i | 0.994109i | ||||||||
\(135\) | −2.08399e7 | − | 1.14175e8i | −0.0627422 | − | 0.343744i | ||||
\(136\) | 1.80161e8 | 0.526631 | ||||||||
\(137\) | −3.91502e8 | + | 2.26034e8i | −1.11135 | + | 0.641640i | −0.939180 | − | 0.343426i | \(-0.888412\pi\) |
−0.172174 | + | 0.985067i | \(0.555079\pi\) | |||||||
\(138\) | 1.43269e8 | + | 4.25797e7i | 0.395036 | + | 0.117405i | ||||
\(139\) | 2.17967e8 | − | 3.77529e8i | 0.583890 | − | 1.01133i | −0.411123 | − | 0.911580i | \(-0.634863\pi\) |
0.995013 | − | 0.0997472i | \(-0.0318034\pi\) | |||||||
\(140\) | 3.45028e8 | + | 1.99202e8i | 0.898135 | + | 0.518539i | ||||
\(141\) | −9.86215e7 | + | 2.35824e7i | −0.249514 | + | 0.0596638i | ||||
\(142\) | −3.25744e8 | − | 5.64205e8i | −0.801166 | − | 1.38766i | ||||
\(143\) | − | 5.47111e7i | − | 0.130837i | ||||||
\(144\) | 6.74638e7 | − | 1.24410e9i | 0.156899 | − | 2.89339i | ||||
\(145\) | 1.91621e8 | 0.433483 | ||||||||
\(146\) | 5.22319e8 | − | 3.01561e8i | 1.14954 | − | 0.663687i | ||||
\(147\) | 1.25114e8 | − | 1.18514e8i | 0.267940 | − | 0.253805i | ||||
\(148\) | −5.42212e8 | + | 9.39139e8i | −1.13011 | + | 1.95742i | ||||
\(149\) | −2.83553e8 | − | 1.63710e8i | −0.575294 | − | 0.332146i | 0.183967 | − | 0.982932i | \(-0.441106\pi\) |
−0.759261 | + | 0.650786i | \(0.774439\pi\) | |||||||
\(150\) | 5.74778e8 | + | 6.06791e8i | 1.13536 | + | 1.19860i | ||||
\(151\) | −7.34134e6 | − | 1.27156e7i | −0.0141211 | − | 0.0244584i | 0.858879 | − | 0.512179i | \(-0.171162\pi\) |
−0.873000 | + | 0.487721i | \(0.837828\pi\) | |||||||
\(152\) | 1.09715e9i | 2.05539i | ||||||||
\(153\) | −5.45439e7 | + | 8.36576e7i | −0.0995361 | + | 0.152665i | ||||
\(154\) | −4.39502e8 | −0.781409 | ||||||||
\(155\) | −3.08210e8 | + | 1.77945e8i | −0.533974 | + | 0.308290i | ||||
\(156\) | −1.28719e8 | − | 5.38306e8i | −0.217343 | − | 0.908930i | ||||
\(157\) | −7.90150e6 | + | 1.36858e7i | −0.0130050 | + | 0.0225253i | −0.872455 | − | 0.488695i | \(-0.837473\pi\) |
0.859450 | + | 0.511220i | \(0.170806\pi\) | |||||||
\(158\) | −1.47529e9 | − | 8.51759e8i | −2.36728 | − | 1.36675i | ||||
\(159\) | −2.04782e8 | + | 6.89035e8i | −0.320407 | + | 1.07809i | ||||
\(160\) | −2.93070e8 | − | 5.07612e8i | −0.447189 | − | 0.774554i | ||||
\(161\) | − | 1.72282e8i | − | 0.256411i | ||||||
\(162\) | 1.04511e9 | + | 7.65122e8i | 1.51740 | + | 1.11089i | ||||
\(163\) | 1.05884e9 | 1.49996 | 0.749979 | − | 0.661462i | \(-0.230064\pi\) | ||||
0.749979 | + | 0.661462i | \(0.230064\pi\) | |||||||
\(164\) | 2.69653e9 | − | 1.55684e9i | 3.72761 | − | 2.15214i | ||||
\(165\) | 8.81621e7 | + | 2.62018e7i | 0.118945 | + | 0.0353505i | ||||
\(166\) | −2.24233e7 | + | 3.88383e7i | −0.0295303 | + | 0.0511479i | ||||
\(167\) | 6.11861e8 | + | 3.53258e8i | 0.786659 | + | 0.454178i | 0.838785 | − | 0.544463i | \(-0.183266\pi\) |
−0.0521260 | + | 0.998641i | \(0.516600\pi\) | |||||||
\(168\) | −2.61951e9 | + | 6.26377e8i | −3.28839 | + | 0.786319i | ||||
\(169\) | 3.52501e8 | + | 6.10550e8i | 0.432129 | + | 0.748470i | ||||
\(170\) | 1.00023e8i | 0.119758i | ||||||||
\(171\) | −5.09461e8 | − | 3.32164e8i | −0.595836 | − | 0.388479i | ||||
\(172\) | 3.32938e8 | 0.380408 | ||||||||
\(173\) | −9.42825e8 | + | 5.44340e8i | −1.05256 | + | 0.607695i | −0.923365 | − | 0.383924i | \(-0.874573\pi\) |
−0.129195 | + | 0.991619i | \(0.541239\pi\) | |||||||
\(174\) | −1.55255e9 | + | 1.47064e9i | −1.69374 | + | 1.60439i | ||||
\(175\) | 4.81705e8 | − | 8.34337e8i | 0.513605 | − | 0.889589i | ||||
\(176\) | 8.55067e8 | + | 4.93673e8i | 0.891147 | + | 0.514504i | ||||
\(177\) | 5.36947e8 | + | 5.66853e8i | 0.547065 | + | 0.577534i | ||||
\(178\) | −8.16164e8 | − | 1.41364e9i | −0.813013 | − | 1.40818i | ||||
\(179\) | − | 1.28580e8i | − | 0.125245i | −0.998037 | − | 0.0626225i | \(-0.980054\pi\) | ||
0.998037 | − | 0.0626225i | \(-0.0199464\pi\) | |||||||
\(180\) | 9.29077e8 | + | 5.03809e7i | 0.885037 | + | 0.0479928i | ||||
\(181\) | −5.51510e8 | −0.513853 | −0.256927 | − | 0.966431i | \(-0.582710\pi\) | ||||
−0.256927 | + | 0.966431i | \(0.582710\pi\) | |||||||
\(182\) | −7.70329e8 | + | 4.44750e8i | −0.702087 | + | 0.405350i | ||||
\(183\) | 1.70034e8 | + | 7.11084e8i | 0.151611 | + | 0.634040i | ||||
\(184\) | −3.62921e8 | + | 6.28597e8i | −0.316622 | + | 0.548405i | ||||
\(185\) | −3.15845e8 | − | 1.82353e8i | −0.269641 | − | 0.155678i | ||||
\(186\) | 1.13149e9 | − | 3.80716e9i | 0.945364 | − | 3.18090i | ||||
\(187\) | −3.95706e7 | − | 6.85382e7i | −0.0323598 | − | 0.0560488i | ||||
\(188\) | − | 8.12921e8i | − | 0.650754i | ||||||
\(189\) | 5.02200e8 | − | 1.40600e9i | 0.393577 | − | 1.10189i | ||||
\(190\) | −6.09123e8 | −0.467402 | ||||||||
\(191\) | 1.01356e9 | − | 5.85182e8i | 0.761584 | − | 0.439701i | −0.0682799 | − | 0.997666i | \(-0.521751\pi\) |
0.829864 | + | 0.557965i | \(0.188418\pi\) | |||||||
\(192\) | 2.49568e9 | + | 7.41718e8i | 1.83647 | + | 0.545800i | ||||
\(193\) | −6.08669e8 | + | 1.05425e9i | −0.438684 | + | 0.759823i | −0.997588 | − | 0.0694089i | \(-0.977889\pi\) |
0.558904 | + | 0.829232i | \(0.311222\pi\) | |||||||
\(194\) | −1.59838e8 | − | 9.22824e7i | −0.112842 | − | 0.0651496i | ||||
\(195\) | 1.81039e8 | − | 4.32900e7i | 0.125209 | − | 0.0299398i | ||||
\(196\) | 6.90788e8 | + | 1.19648e9i | 0.468080 | + | 0.810739i | ||||
\(197\) | − | 1.16248e9i | − | 0.771826i | −0.922535 | − | 0.385913i | \(-0.873886\pi\) | ||
0.922535 | − | 0.385913i | \(-0.126114\pi\) | |||||||
\(198\) | −9.15395e8 | + | 4.64327e8i | −0.595590 | + | 0.302109i | ||||
\(199\) | −2.31429e9 | −1.47572 | −0.737861 | − | 0.674952i | \(-0.764164\pi\) | ||||
−0.737861 | + | 0.674952i | \(0.764164\pi\) | |||||||
\(200\) | −3.51514e9 | + | 2.02947e9i | −2.19696 | + | 1.26842i | ||||
\(201\) | 6.26415e8 | − | 5.93367e8i | 0.383776 | − | 0.363529i | ||||
\(202\) | 1.39422e9 | − | 2.41485e9i | 0.837383 | − | 1.45039i | ||||
\(203\) | 2.13475e9 | + | 1.23250e9i | 1.25708 | + | 0.725776i | ||||
\(204\) | −5.50587e8 | − | 5.81253e8i | −0.317911 | − | 0.335617i | ||||
\(205\) | 5.23587e8 | + | 9.06880e8i | 0.296465 | + | 0.513493i | ||||
\(206\) | 5.60673e9i | 3.11344i | ||||||||
\(207\) | −1.82014e8 | − | 3.58829e8i | −0.0991340 | − | 0.195437i | ||||
\(208\) | 1.99827e9 | 1.06758 | ||||||||
\(209\) | 4.17387e8 | − | 2.40978e8i | 0.218753 | − | 0.126297i | ||||
\(210\) | −3.47755e8 | − | 1.45431e9i | −0.178812 | − | 0.747792i | ||||
\(211\) | 1.17351e9 | − | 2.03258e9i | 0.592048 | − | 1.02546i | −0.401909 | − | 0.915680i | \(-0.631653\pi\) |
0.993956 | − | 0.109777i | \(-0.0350136\pi\) | |||||||
\(212\) | −4.99062e9 | − | 2.88134e9i | −2.47065 | − | 1.42643i | ||||
\(213\) | −4.99630e8 | + | 1.68112e9i | −0.242734 | + | 0.816735i | ||||
\(214\) | 3.20516e9 | + | 5.55149e9i | 1.52825 | + | 2.64700i | ||||
\(215\) | 1.11972e8i | 0.0524027i | ||||||||
\(216\) | −4.79416e9 | + | 4.07209e9i | −2.20240 | + | 1.87069i | ||||
\(217\) | −4.57814e9 | −2.06467 | ||||||||
\(218\) | 3.98131e9 | − | 2.29861e9i | 1.76279 | − | 1.01775i | ||||
\(219\) | −1.55632e9 | − | 4.62539e8i | −0.676585 | − | 0.201081i | ||||
\(220\) | −3.68667e8 | + | 6.38550e8i | −0.157378 | + | 0.272587i | ||||
\(221\) | −1.38713e8 | − | 8.00861e7i | −0.0581498 | − | 0.0335728i | ||||
\(222\) | 3.95853e9 | − | 9.46563e8i | 1.62975 | − | 0.389706i | ||||
\(223\) | 5.96084e8 | + | 1.03245e9i | 0.241039 | + | 0.417492i | 0.961011 | − | 0.276511i | \(-0.0891784\pi\) |
−0.719971 | + | 0.694004i | \(0.755845\pi\) | |||||||
\(224\) | − | 7.54004e9i | − | 2.99489i | ||||||
\(225\) | 1.21830e8 | − | 2.24667e9i | 0.0475361 | − | 0.876616i | ||||
\(226\) | 8.08612e9 | 3.09960 | ||||||||
\(227\) | −3.54419e7 | + | 2.04624e7i | −0.0133479 | + | 0.00770643i | −0.506659 | − | 0.862146i | \(-0.669120\pi\) |
0.493311 | + | 0.869853i | \(0.335786\pi\) | |||||||
\(228\) | 3.53974e9 | − | 3.35299e9i | 1.30988 | − | 1.24077i | ||||
\(229\) | −1.51873e9 | + | 2.63052e9i | −0.552255 | + | 0.956534i | 0.445856 | + | 0.895105i | \(0.352899\pi\) |
−0.998111 | + | 0.0614295i | \(0.980434\pi\) | |||||||
\(230\) | −3.48988e8 | − | 2.01488e8i | −0.124709 | − | 0.0720009i | ||||
\(231\) | 8.13638e8 | + | 8.58955e8i | 0.285748 | + | 0.301663i | ||||
\(232\) | −5.19264e9 | − | 8.99391e9i | −1.79240 | − | 3.10453i | ||||
\(233\) | − | 2.47142e9i | − | 0.838537i | −0.907862 | − | 0.419269i | \(-0.862287\pi\) | ||
0.907862 | − | 0.419269i | \(-0.137713\pi\) | |||||||
\(234\) | −1.13457e9 | + | 1.74017e9i | −0.378414 | + | 0.580400i | ||||
\(235\) | 2.73396e8 | 0.0896439 | ||||||||
\(236\) | −5.42086e9 | + | 3.12974e9i | −1.74751 | + | 1.00893i | ||||
\(237\) | 1.06650e9 | + | 4.46012e9i | 0.338040 | + | 1.41369i | ||||
\(238\) | −6.43343e8 | + | 1.11430e9i | −0.200509 | + | 0.347292i | ||||
\(239\) | 2.68255e9 | + | 1.54877e9i | 0.822159 | + | 0.474674i | 0.851160 | − | 0.524906i | \(-0.175899\pi\) |
−0.0290013 | + | 0.999579i | \(0.509233\pi\) | |||||||
\(240\) | −9.56995e8 | + | 3.22003e9i | −0.288446 | + | 0.970545i | ||||
\(241\) | −2.94024e7 | − | 5.09264e7i | −0.00871594 | − | 0.0150965i | 0.861635 | − | 0.507529i | \(-0.169441\pi\) |
−0.870350 | + | 0.492433i | \(0.836108\pi\) | |||||||
\(242\) | 5.63650e9i | 1.64342i | ||||||||
\(243\) | −4.39436e8 | − | 3.45898e9i | −0.126029 | − | 0.992027i | ||||
\(244\) | −5.86135e9 | −1.65363 | ||||||||
\(245\) | −4.02392e8 | + | 2.32321e8i | −0.111682 | + | 0.0644799i | ||||
\(246\) | −1.12022e10 | − | 3.32930e9i | −3.05889 | − | 0.909103i | ||||
\(247\) | 4.87711e8 | − | 8.44741e8i | 0.131031 | − | 0.226953i | ||||
\(248\) | 1.67040e10 | + | 9.64407e9i | 4.41585 | + | 2.54949i | ||||
\(249\) | 1.17416e8 | − | 2.80766e7i | 0.0305444 | − | 0.00730377i | ||||
\(250\) | −2.41016e9 | − | 4.17452e9i | −0.617001 | − | 1.06868i | ||||
\(251\) | − | 3.40153e9i | − | 0.856997i | −0.903542 | − | 0.428499i | \(-0.859043\pi\) | ||
0.903542 | − | 0.428499i | \(-0.140957\pi\) | |||||||
\(252\) | 1.00263e10 | + | 6.53704e9i | 2.48621 | + | 1.62099i | ||||
\(253\) | 3.18847e8 | 0.0778216 | ||||||||
\(254\) | 1.70535e9 | − | 9.84587e8i | 0.409713 | − | 0.236548i | ||||
\(255\) | 1.95483e8 | − | 1.85170e8i | 0.0462326 | − | 0.0437935i | ||||
\(256\) | −9.92756e7 | + | 1.71950e8i | −0.0231144 | + | 0.0400353i | ||||
\(257\) | −4.27262e9 | − | 2.46680e9i | −0.979405 | − | 0.565459i | −0.0773142 | − | 0.997007i | \(-0.524634\pi\) |
−0.902090 | + | 0.431547i | \(0.857968\pi\) | |||||||
\(258\) | −8.59348e8 | − | 9.07211e8i | −0.193950 | − | 0.204753i | ||||
\(259\) | −2.34577e9 | − | 4.06300e9i | −0.521299 | − | 0.902916i | ||||
\(260\) | 1.49228e9i | 0.326555i | ||||||||
\(261\) | 5.74838e9 | + | 3.11716e8i | 1.23875 | + | 0.0671734i | ||||
\(262\) | −7.96698e8 | −0.169079 | ||||||||
\(263\) | −5.66211e9 | + | 3.26902e9i | −1.18347 | + | 0.683274i | −0.956814 | − | 0.290702i | \(-0.906111\pi\) |
−0.226652 | + | 0.973976i | \(0.572778\pi\) | |||||||
\(264\) | −1.15925e9 | − | 4.84799e9i | −0.238650 | − | 0.998035i | ||||
\(265\) | 9.69031e8 | − | 1.67841e9i | 0.196496 | − | 0.340342i | ||||
\(266\) | −6.78592e9 | − | 3.91785e9i | −1.35545 | − | 0.782567i | ||||
\(267\) | −1.25184e9 | + | 4.21212e9i | −0.246323 | + | 0.828812i | ||||
\(268\) | 3.45859e9 | + | 5.99046e9i | 0.670440 | + | 1.16124i | ||||
\(269\) | − | 3.91317e9i | − | 0.747343i | −0.927561 | − | 0.373672i | \(-0.878099\pi\) | ||
0.927561 | − | 0.373672i | \(-0.121901\pi\) | |||||||
\(270\) | −2.26076e9 | − | 2.66164e9i | −0.425402 | − | 0.500835i | ||||
\(271\) | 5.50493e9 | 1.02064 | 0.510322 | − | 0.859983i | \(-0.329526\pi\) | ||||
0.510322 | + | 0.859983i | \(0.329526\pi\) | |||||||
\(272\) | 2.50329e9 | − | 1.44528e9i | 0.457336 | − | 0.264043i | ||||
\(273\) | 2.29530e9 | + | 6.82164e8i | 0.413227 | + | 0.122811i | ||||
\(274\) | −6.80119e9 | + | 1.17800e10i | −1.20665 | + | 2.08999i | ||||
\(275\) | 1.54413e9 | + | 8.91502e8i | 0.269993 | + | 0.155880i | ||||
\(276\) | 3.13715e9 | − | 7.50155e8i | 0.540629 | − | 0.129275i | ||||
\(277\) | 2.81367e9 | + | 4.87342e9i | 0.477919 | + | 0.827780i | 0.999680 | − | 0.0253117i | \(-0.00805783\pi\) |
−0.521760 | + | 0.853092i | \(0.674724\pi\) | |||||||
\(278\) | − | 1.31169e10i | − | 2.19610i | ||||||
\(279\) | −9.53535e9 | + | 4.83673e9i | −1.57369 | + | 0.798244i | ||||
\(280\) | 7.26174e9 | 1.18143 | ||||||||
\(281\) | 3.55445e9 | − | 2.05216e9i | 0.570095 | − | 0.329145i | −0.187092 | − | 0.982342i | \(-0.559906\pi\) |
0.757187 | + | 0.653198i | \(0.226573\pi\) | |||||||
\(282\) | −2.21510e9 | + | 2.09823e9i | −0.350265 | + | 0.331786i | ||||
\(283\) | 2.48538e9 | − | 4.30480e9i | 0.387477 | − | 0.671130i | −0.604632 | − | 0.796505i | \(-0.706680\pi\) |
0.992109 | + | 0.125374i | \(0.0400132\pi\) | |||||||
\(284\) | −1.21762e10 | − | 7.02995e9i | −1.87171 | − | 1.08063i | ||||
\(285\) | 1.12765e9 | + | 1.19046e9i | 0.170921 | + | 0.180441i | ||||
\(286\) | −8.23109e8 | − | 1.42567e9i | −0.123025 | − | 0.213085i | ||||
\(287\) | 1.34708e10i | 1.98547i | ||||||||
\(288\) | −7.96593e9 | − | 1.57044e10i | −1.15789 | − | 2.28271i | ||||
\(289\) | 6.74406e9 | 0.966786 | ||||||||
\(290\) | 4.99328e9 | − | 2.88287e9i | 0.705983 | − | 0.407599i | ||||
\(291\) | 1.15548e8 | + | 4.83224e8i | 0.0161136 | + | 0.0673870i | ||||
\(292\) | 6.50806e9 | − | 1.12723e10i | 0.895200 | − | 1.55053i | ||||
\(293\) | −2.65351e9 | − | 1.53201e9i | −0.360040 | − | 0.207869i | 0.309058 | − | 0.951043i | \(-0.399986\pi\) |
−0.669098 | + | 0.743174i | \(0.733320\pi\) | |||||||
\(294\) | 1.47725e9 | − | 4.97054e9i | 0.197726 | − | 0.665295i | ||||
\(295\) | −1.05257e9 | − | 1.82311e9i | −0.138984 | − | 0.240726i | ||||
\(296\) | 1.97659e10i | 2.57484i | ||||||||
\(297\) | 2.60212e9 | + | 9.29434e8i | 0.334427 | + | 0.119452i | ||||
\(298\) | −9.85180e9 | −1.24925 | ||||||||
\(299\) | 5.58853e8 | − | 3.22654e8i | 0.0699218 | − | 0.0403694i | ||||
\(300\) | 1.72902e10 | + | 5.13865e9i | 2.13459 | + | 0.634401i | ||||
\(301\) | −7.20195e8 | + | 1.24741e9i | −0.0877373 | + | 0.151965i | ||||
\(302\) | −3.82602e8 | − | 2.20895e8i | −0.0459959 | − | 0.0265558i | ||||
\(303\) | −7.30061e9 | + | 1.74572e9i | −0.866141 | + | 0.207112i | ||||
\(304\) | 8.80150e9 | + | 1.52446e10i | 1.03053 | + | 1.78494i | ||||
\(305\) | − | 1.97125e9i | − | 0.227794i | ||||||
\(306\) | −1.62710e8 | + | 3.00055e9i | −0.0185579 | + | 0.342227i | ||||
\(307\) | −3.87276e9 | −0.435980 | −0.217990 | − | 0.975951i | \(-0.569950\pi\) | ||||
−0.217990 | + | 0.975951i | \(0.569950\pi\) | |||||||
\(308\) | −8.21425e9 | + | 4.74250e9i | −0.912778 | + | 0.526993i | ||||
\(309\) | 1.09577e10 | − | 1.03796e10i | 1.20195 | − | 1.13854i | ||||
\(310\) | −5.35424e9 | + | 9.27382e9i | −0.579764 | + | 1.00418i | ||||
\(311\) | 3.98486e9 | + | 2.30066e9i | 0.425962 | + | 0.245930i | 0.697625 | − | 0.716463i | \(-0.254240\pi\) |
−0.271663 | + | 0.962393i | \(0.587573\pi\) | |||||||
\(312\) | −6.93773e9 | − | 7.32413e9i | −0.732148 | − | 0.772926i | ||||
\(313\) | 2.25805e9 | + | 3.91106e9i | 0.235264 | + | 0.407490i | 0.959349 | − | 0.282221i | \(-0.0910711\pi\) |
−0.724085 | + | 0.689711i | \(0.757738\pi\) | |||||||
\(314\) | 4.75500e8i | 0.0489139i | ||||||||
\(315\) | −2.19849e9 | + | 3.37198e9i | −0.223297 | + | 0.342486i | ||||
\(316\) | −3.67640e10 | −3.68701 | ||||||||
\(317\) | −7.55534e9 | + | 4.36208e9i | −0.748199 | + | 0.431973i | −0.825043 | − | 0.565070i | \(-0.808849\pi\) |
0.0768439 | + | 0.997043i | \(0.475516\pi\) | |||||||
\(318\) | 5.03007e9 | + | 2.10358e10i | 0.491887 | + | 2.05708i | ||||
\(319\) | −2.28102e9 | + | 3.95083e9i | −0.220275 | + | 0.381528i | ||||
\(320\) | −6.07920e9 | − | 3.50983e9i | −0.579758 | − | 0.334723i | ||||
\(321\) | 4.91612e9 | − | 1.65414e10i | 0.463022 | − | 1.55795i | ||||
\(322\) | −2.59192e9 | − | 4.48934e9i | −0.241101 | − | 0.417599i | ||||
\(323\) | − | 1.41097e9i | − | 0.129631i | ||||||
\(324\) | 2.77890e10 | + | 3.02271e9i | 2.52170 | + | 0.274294i | ||||
\(325\) | 3.60859e9 | 0.323447 | ||||||||
\(326\) | 2.75913e10 | − | 1.59298e10i | 2.44287 | − | 1.41039i | ||||
\(327\) | −1.18629e10 | − | 3.52565e9i | −1.03752 | − | 0.308353i | ||||
\(328\) | 2.83768e10 | − | 4.91500e10i | 2.45170 | − | 4.24647i | ||||
\(329\) | 3.04576e9 | + | 1.75847e9i | 0.259963 | + | 0.150090i | ||||
\(330\) | 2.69153e9 | − | 6.43598e8i | 0.226957 | − | 0.0542699i | ||||
\(331\) | −8.13688e9 | − | 1.40935e10i | −0.677869 | − | 1.17410i | −0.975621 | − | 0.219460i | \(-0.929570\pi\) |
0.297753 | − | 0.954643i | \(-0.403763\pi\) | |||||||
\(332\) | 9.67845e8i | 0.0796624i | ||||||||
\(333\) | −9.17826e9 | − | 5.98413e9i | −0.746420 | − | 0.486658i | ||||
\(334\) | 2.12585e10 | 1.70823 | ||||||||
\(335\) | −2.01467e9 | + | 1.16317e9i | −0.159965 | + | 0.0923557i | ||||
\(336\) | −3.13725e10 | + | 2.97173e10i | −2.46145 | + | 2.33159i | ||||
\(337\) | −8.51751e9 | + | 1.47528e10i | −0.660378 | + | 1.14381i | 0.320138 | + | 0.947371i | \(0.396271\pi\) |
−0.980516 | + | 0.196438i | \(0.937063\pi\) | |||||||
\(338\) | 1.83710e10 | + | 1.06065e10i | 1.40756 | + | 0.812653i | ||||
\(339\) | −1.49696e10 | − | 1.58034e10i | −1.13347 | − | 1.19660i | ||||
\(340\) | 1.07931e9 | + | 1.86942e9i | 0.0807663 | + | 0.139891i | ||||
\(341\) | − | 8.47287e9i | − | 0.626633i | ||||||
\(342\) | −1.82729e10 | − | 9.90879e8i | −1.33568 | − | 0.0724296i | ||||
\(343\) | 1.02182e10 | 0.738239 | ||||||||
\(344\) | 5.25547e9 | − | 3.03425e9i | 0.375300 | − | 0.216679i | ||||
\(345\) | 2.52287e8 | + | 1.05506e9i | 0.0178081 | + | 0.0744737i | ||||
\(346\) | −1.63788e10 | + | 2.83689e10i | −1.14282 | + | 1.97942i | ||||
\(347\) | 2.89724e9 | + | 1.67272e9i | 0.199833 | + | 0.115374i | 0.596577 | − | 0.802555i | \(-0.296527\pi\) |
−0.396745 | + | 0.917929i | \(0.629860\pi\) | |||||||
\(348\) | −1.31478e10 | + | 4.42390e10i | −0.896474 | + | 3.01640i | ||||
\(349\) | −4.03503e9 | − | 6.98888e9i | −0.271985 | − | 0.471092i | 0.697385 | − | 0.716697i | \(-0.254347\pi\) |
−0.969370 | + | 0.245605i | \(0.921013\pi\) | |||||||
\(350\) | − | 2.89883e10i | − | 1.93175i | ||||||
\(351\) | 5.50134e9 | − | 1.00414e9i | 0.362444 | − | 0.0661554i | ||||
\(352\) | 1.39545e10 | 0.908959 | ||||||||
\(353\) | −1.32067e9 | + | 7.62489e8i | −0.0850541 | + | 0.0491060i | −0.541924 | − | 0.840428i | \(-0.682304\pi\) |
0.456870 | + | 0.889534i | \(0.348971\pi\) | |||||||
\(354\) | 2.25199e10 | + | 6.69292e9i | 1.43401 | + | 0.426189i | ||||
\(355\) | 2.36426e9 | − | 4.09503e9i | 0.148862 | − | 0.257836i | ||||
\(356\) | −3.05080e10 | − | 1.76138e10i | −1.89939 | − | 1.09661i | ||||
\(357\) | 3.36877e9 | − | 8.05540e8i | 0.207395 | − | 0.0495923i | ||||
\(358\) | −1.93443e9 | − | 3.35054e9i | −0.117766 | − | 0.203977i | ||||
\(359\) | 2.58143e10i | 1.55411i | 0.629430 | + | 0.777057i | \(0.283288\pi\) | ||||
−0.629430 | + | 0.777057i | \(0.716712\pi\) | |||||||
\(360\) | 1.51247e10 | − | 7.67192e9i | 0.900488 | − | 0.456766i | ||||
\(361\) | −8.39096e9 | −0.494063 | ||||||||
\(362\) | −1.43713e10 | + | 8.29726e9i | −0.836876 | + | 0.483170i | ||||
\(363\) | 1.10159e10 | − | 1.04347e10i | 0.634443 | − | 0.600971i | ||||
\(364\) | −9.59825e9 | + | 1.66247e10i | −0.546747 | + | 0.946994i | ||||
\(365\) | 3.79102e9 | + | 2.18874e9i | 0.213592 | + | 0.123317i | ||||
\(366\) | 1.51288e10 | + | 1.59714e10i | 0.843099 | + | 0.890057i | ||||
\(367\) | 7.78832e9 | + | 1.34898e10i | 0.429318 | + | 0.743601i | 0.996813 | − | 0.0797760i | \(-0.0254205\pi\) |
−0.567494 | + | 0.823377i | \(0.692087\pi\) | |||||||
\(368\) | 1.16456e10i | 0.634994i | ||||||||
\(369\) | 1.42316e10 | + | 2.80569e10i | 0.767626 | + | 1.51333i | ||||
\(370\) | −1.09737e10 | −0.585528 | ||||||||
\(371\) | 2.15909e10 | − | 1.24655e10i | 1.13966 | − | 0.657983i | ||||
\(372\) | −1.99342e10 | − | 8.33650e10i | −1.04094 | − | 4.35323i | ||||
\(373\) | −6.74347e9 | + | 1.16800e10i | −0.348376 | + | 0.603405i | −0.985961 | − | 0.166975i | \(-0.946600\pi\) |
0.637585 | + | 0.770380i | \(0.279933\pi\) | |||||||
\(374\) | −2.06226e9 | − | 1.19065e9i | −0.105404 | − | 0.0608551i | ||||
\(375\) | −3.69674e9 | + | 1.24386e10i | −0.186936 | + | 0.628992i | ||||
\(376\) | −7.40860e9 | − | 1.28321e10i | −0.370668 | − | 0.642015i | ||||
\(377\) | 9.23300e9i | 0.457065i | ||||||||
\(378\) | −8.06639e9 | − | 4.41931e10i | −0.395104 | − | 2.16465i | ||||
\(379\) | 1.75878e10 | 0.852422 | 0.426211 | − | 0.904624i | \(-0.359848\pi\) | ||||
0.426211 | + | 0.904624i | \(0.359848\pi\) | |||||||
\(380\) | −1.13845e10 | + | 6.57282e9i | −0.545981 | + | 0.315222i | ||||
\(381\) | −5.08133e9 | − | 1.51017e9i | −0.241145 | − | 0.0716683i | ||||
\(382\) | 1.76077e10 | − | 3.04974e10i | 0.826892 | − | 1.43222i | ||||
\(383\) | −8.70594e8 | − | 5.02638e8i | −0.0404595 | − | 0.0233593i | 0.479634 | − | 0.877469i | \(-0.340770\pi\) |
−0.520093 | + | 0.854109i | \(0.674103\pi\) | |||||||
\(384\) | 2.20637e10 | − | 5.27587e9i | 1.01474 | − | 0.242644i | ||||
\(385\) | −1.59496e9 | − | 2.76256e9i | −0.0725952 | − | 0.125739i | ||||
\(386\) | 3.66288e10i | 1.64996i | ||||||||
\(387\) | −1.82147e8 | + | 3.35899e9i | −0.00812043 | + | 0.149749i | ||||
\(388\) | −3.98314e9 | −0.175751 | ||||||||
\(389\) | 2.58931e8 | − | 1.49494e8i | 0.0113080 | − | 0.00652866i | −0.494335 | − | 0.869271i | \(-0.664589\pi\) |
0.505643 | + | 0.862743i | \(0.331255\pi\) | |||||||
\(390\) | 4.06625e9 | − | 3.85172e9i | 0.175766 | − | 0.166493i | ||||
\(391\) | 4.66728e8 | − | 8.08396e8i | 0.0199690 | − | 0.0345873i | ||||
\(392\) | 2.18083e10 | + | 1.25911e10i | 0.923588 | + | 0.533234i | ||||
\(393\) | 1.47491e9 | + | 1.55705e9i | 0.0618292 | + | 0.0652729i | ||||
\(394\) | −1.74890e10 | − | 3.02919e10i | −0.725740 | − | 1.25702i | ||||
\(395\) | − | 1.23642e10i | − | 0.507900i | ||||||
\(396\) | −1.20983e10 | + | 1.85559e10i | −0.491974 | + | 0.754573i | ||||
\(397\) | −4.25871e9 | −0.171442 | −0.0857208 | − | 0.996319i | \(-0.527319\pi\) | ||||
−0.0857208 | + | 0.996319i | \(0.527319\pi\) | |||||||
\(398\) | −6.03058e10 | + | 3.48176e10i | −2.40340 | + | 1.38761i | ||||
\(399\) | 4.90561e9 | + | 2.05153e10i | 0.193554 | + | 0.809442i | ||||
\(400\) | −3.25612e10 | + | 5.63977e10i | −1.27192 | + | 2.20304i | ||||
\(401\) | −2.35315e10 | − | 1.35859e10i | −0.910064 | − | 0.525426i | −0.0296123 | − | 0.999561i | \(-0.509427\pi\) |
−0.880452 | + | 0.474136i | \(0.842761\pi\) | |||||||
\(402\) | 7.39618e9 | − | 2.48862e10i | 0.283207 | − | 0.952915i | ||||
\(403\) | −8.57404e9 | − | 1.48507e10i | −0.325061 | − | 0.563023i | ||||
\(404\) | − | 6.01778e10i | − | 2.25897i | ||||||
\(405\) | −1.01658e9 | + | 9.34582e9i | −0.0377851 | + | 0.347374i | ||||
\(406\) | 7.41700e10 | 2.72976 | ||||||||
\(407\) | 7.51948e9 | − | 4.34137e9i | 0.274038 | − | 0.158216i | ||||
\(408\) | −1.39884e10 | − | 4.15735e9i | −0.504808 | − | 0.150029i | ||||
\(409\) | 6.53265e9 | − | 1.13149e10i | 0.233451 | − | 0.404349i | −0.725370 | − | 0.688359i | \(-0.758331\pi\) |
0.958821 | + | 0.284010i | \(0.0916647\pi\) | |||||||
\(410\) | 2.72873e10 | + | 1.57543e10i | 0.965663 | + | 0.557526i | ||||
\(411\) | 3.56135e10 | − | 8.51589e9i | 1.24809 | − | 0.298444i | ||||
\(412\) | 6.05001e10 | + | 1.04789e11i | 2.09975 | + | 3.63687i | ||||
\(413\) | − | 2.70803e10i | − | 0.930795i | ||||||
\(414\) | −1.01414e10 | − | 6.61207e9i | −0.345220 | − | 0.225080i | ||||
\(415\) | −3.25499e8 | −0.0109738 | ||||||||
\(416\) | 2.44585e10 | − | 1.41211e10i | 0.816690 | − | 0.471516i | ||||
\(417\) | −2.56354e10 | + | 2.42830e10i | −0.847806 | + | 0.803078i | ||||
\(418\) | 7.25086e9 | − | 1.25589e10i | 0.237511 | − | 0.411382i | ||||
\(419\) | −4.96679e10 | − | 2.86758e10i | −1.61146 | − | 0.930377i | −0.989032 | − | 0.147701i | \(-0.952813\pi\) |
−0.622429 | − | 0.782677i | \(-0.713854\pi\) | |||||||
\(420\) | −2.21924e10 | − | 2.34285e10i | −0.713194 | − | 0.752916i | ||||
\(421\) | 9.15566e8 | + | 1.58581e9i | 0.0291448 | + | 0.0504803i | 0.880230 | − | 0.474547i | \(-0.157388\pi\) |
−0.851085 | + | 0.525028i | \(0.824055\pi\) | |||||||
\(422\) | − | 7.06200e10i | − | 2.22678i | ||||||
\(423\) | 8.20150e9 | + | 4.44741e8i | 0.256172 | + | 0.0138914i | ||||
\(424\) | −1.05037e11 | −3.24996 | ||||||||
\(425\) | 4.52058e9 | − | 2.60996e9i | 0.138560 | − | 0.0799978i | ||||
\(426\) | 1.22725e10 | + | 5.13236e10i | 0.372644 | + | 1.55840i | ||||
\(427\) | 1.26790e10 | − | 2.19606e10i | 0.381393 | − | 0.660592i | ||||
\(428\) | 1.19808e11 | + | 6.91712e10i | 3.57035 | + | 2.06134i | ||||
\(429\) | −1.26250e9 | + | 4.24796e9i | −0.0372736 | + | 0.125416i | ||||
\(430\) | 1.68457e9 | + | 2.91776e9i | 0.0492737 | + | 0.0853445i | ||||
\(431\) | 2.14254e10i | 0.620896i | 0.950590 | + | 0.310448i | \(0.100479\pi\) | ||||
−0.950590 | + | 0.310448i | \(0.899521\pi\) | |||||||
\(432\) | −3.39466e10 | + | 9.50398e10i | −0.974680 | + | 2.72879i | ||||
\(433\) | −2.13129e10 | −0.606306 | −0.303153 | − | 0.952942i | \(-0.598039\pi\) | ||||
−0.303153 | + | 0.952942i | \(0.598039\pi\) | |||||||
\(434\) | −1.19297e11 | + | 6.88764e10i | −3.36258 | + | 1.94139i | ||||
\(435\) | −1.48782e10 | − | 4.42179e9i | −0.415520 | − | 0.123493i | ||||
\(436\) | 4.96069e10 | − | 8.59217e10i | 1.37276 | − | 2.37770i | ||||
\(437\) | 4.92300e9 | + | 2.84230e9i | 0.134991 | + | 0.0779370i | ||||
\(438\) | −4.75134e10 | + | 1.13614e10i | −1.29098 | + | 0.308699i | ||||
\(439\) | −7.43152e6 | − | 1.28718e7i | −0.000200087 | − | 0.000346561i | 0.865925 | − | 0.500173i | \(-0.166730\pi\) |
−0.866125 | + | 0.499827i | \(0.833397\pi\) | |||||||
\(440\) | 1.34395e10i | 0.358568i | ||||||||
\(441\) | −1.24491e10 | + | 6.31472e9i | −0.329143 | + | 0.166955i | ||||
\(442\) | −4.81946e9 | −0.126273 | ||||||||
\(443\) | 4.49699e10 | − | 2.59634e10i | 1.16764 | − | 0.674135i | 0.214513 | − | 0.976721i | \(-0.431183\pi\) |
0.953122 | + | 0.302586i | \(0.0978501\pi\) | |||||||
\(444\) | 6.37705e10 | − | 6.04061e10i | 1.64092 | − | 1.55435i | ||||
\(445\) | 5.92376e9 | − | 1.02602e10i | 0.151063 | − | 0.261648i | ||||
\(446\) | 3.10656e10 | + | 1.79357e10i | 0.785127 | + | 0.453293i | ||||
\(447\) | 1.82384e10 | + | 1.92542e10i | 0.456831 | + | 0.482275i | ||||
\(448\) | −4.51501e10 | − | 7.82022e10i | −1.12085 | − | 1.94136i | ||||
\(449\) | 6.25399e9i | 0.153876i | 0.997036 | + | 0.0769382i | \(0.0245144\pi\) | ||||
−0.997036 | + | 0.0769382i | \(0.975486\pi\) | |||||||
\(450\) | −3.06257e10 | − | 6.03767e10i | −0.746854 | − | 1.47238i | ||||
\(451\) | −2.49306e10 | −0.602597 | ||||||||
\(452\) | 1.51129e11 | − | 8.72542e10i | 3.62071 | − | 2.09042i | ||||
\(453\) | 2.76587e8 | + | 1.15669e9i | 0.00656808 | + | 0.0274678i | ||||
\(454\) | −6.15699e8 | + | 1.06642e9i | −0.0144925 | + | 0.0251018i | ||||
\(455\) | −5.59109e9 | − | 3.22802e9i | −0.130452 | − | 0.0753165i | ||||
\(456\) | 2.53176e10 | − | 8.51869e10i | 0.585548 | − | 1.97021i | ||||
\(457\) | 1.20762e10 | + | 2.09166e10i | 0.276864 | + | 0.479542i | 0.970604 | − | 0.240684i | \(-0.0773716\pi\) |
−0.693740 | + | 0.720226i | \(0.744038\pi\) | |||||||
\(458\) | 9.13952e10i | 2.07712i | ||||||||
\(459\) | 6.16543e9 | − | 5.23683e9i | 0.138903 | − | 0.117983i | ||||
\(460\) | −8.69673e9 | −0.194234 | ||||||||
\(461\) | −3.92832e10 | + | 2.26802e10i | −0.869768 | + | 0.502161i | −0.867271 | − | 0.497836i | \(-0.834128\pi\) |
−0.00249716 | + | 0.999997i | \(0.500795\pi\) | |||||||
\(462\) | 3.41245e10 | + | 1.01418e10i | 0.749028 | + | 0.222611i | ||||
\(463\) | −1.79234e10 | + | 3.10442e10i | −0.390029 | + | 0.675549i | −0.992453 | − | 0.122627i | \(-0.960868\pi\) |
0.602424 | + | 0.798176i | \(0.294202\pi\) | |||||||
\(464\) | −1.44300e11 | − | 8.33118e10i | −3.11312 | − | 1.79736i | ||||
\(465\) | 2.80367e10 | − | 6.70414e9i | 0.599674 | − | 0.143394i | ||||
\(466\) | −3.71815e10 | − | 6.44003e10i | −0.788467 | − | 1.36567i | ||||
\(467\) | 2.44598e10i | 0.514262i | 0.966376 | + | 0.257131i | \(0.0827773\pi\) | ||||
−0.966376 | + | 0.257131i | \(0.917223\pi\) | |||||||
\(468\) | −2.42753e9 | + | 4.47662e10i | −0.0506036 | + | 0.933183i | ||||
\(469\) | −2.99258e10 | −0.618521 | ||||||||
\(470\) | 7.12417e9 | − | 4.11314e9i | 0.145997 | − | 0.0842912i | ||||
\(471\) | 9.29309e8 | − | 8.80281e8i | 0.0188832 | − | 0.0178870i | ||||
\(472\) | −5.70460e10 | + | 9.88065e10i | −1.14936 | + | 1.99075i | ||||
\(473\) | −2.30862e9 | − | 1.33288e9i | −0.0461220 | − | 0.0266285i | ||||
\(474\) | 9.48918e10 | + | 1.00177e11i | 1.87982 | + | 1.98451i | ||||
\(475\) | 1.58942e10 | + | 2.75296e10i | 0.312223 | + | 0.540786i | ||||
\(476\) | 2.77683e10i | 0.540905i | ||||||||
\(477\) | 3.17999e10 | − | 4.87736e10i | 0.614260 | − | 0.942132i | ||||
\(478\) | 9.32027e10 | 1.78532 | ||||||||
\(479\) | 2.25111e10 | − | 1.29968e10i | 0.427617 | − | 0.246885i | −0.270714 | − | 0.962660i | \(-0.587260\pi\) |
0.698331 | + | 0.715775i | \(0.253926\pi\) | |||||||
\(480\) | 1.10415e10 | + | 4.61755e10i | 0.207999 | + | 0.869855i | ||||
\(481\) | 8.78642e9 | − | 1.52185e10i | 0.164146 | − | 0.284310i | ||||
\(482\) | −1.53234e9 | − | 8.84696e8i | −0.0283901 | − | 0.0163910i | ||||
\(483\) | −3.97553e9 | + | 1.33766e10i | −0.0730477 | + | 0.245786i | ||||
\(484\) | 6.08213e10 | + | 1.05346e11i | 1.10834 | + | 1.91971i | ||||
\(485\) | − | 1.33958e9i | − | 0.0242104i | ||||||
\(486\) | −6.34899e10 | − | 8.35232e10i | −1.13805 | − | 1.49714i | ||||
\(487\) | −8.78432e10 | −1.56168 | −0.780840 | − | 0.624731i | \(-0.785209\pi\) | ||||
−0.780840 | + | 0.624731i | \(0.785209\pi\) | |||||||
\(488\) | −9.25221e10 | + | 5.34177e10i | −1.63142 | + | 0.941902i | ||||
\(489\) | −8.22119e10 | − | 2.44334e10i | −1.43780 | − | 0.427315i | ||||
\(490\) | −6.99036e9 | + | 1.21077e10i | −0.121259 | + | 0.210027i | ||||
\(491\) | 3.74608e10 | + | 2.16280e10i | 0.644541 | + | 0.372126i | 0.786362 | − | 0.617766i | \(-0.211962\pi\) |
−0.141820 | + | 0.989892i | \(0.545296\pi\) | |||||||
\(492\) | −2.45294e11 | + | 5.86545e10i | −4.18626 | + | 1.00102i | ||||
\(493\) | 6.67789e9 | + | 1.15664e10i | 0.113045 | + | 0.195800i | ||||
\(494\) | − | 2.93497e10i | − | 0.492829i | ||||||
\(495\) | −6.24059e9 | − | 4.06880e9i | −0.103945 | − | 0.0677713i | ||||
\(496\) | 3.09463e11 | 5.11308 | ||||||||
\(497\) | 5.26780e10 | − | 3.04137e10i | 0.863384 | − | 0.498475i | ||||
\(498\) | 2.63724e9 | − | 2.49811e9i | 0.0428778 | − | 0.0406157i | ||||
\(499\) | 1.60632e10 | − | 2.78224e10i | 0.259078 | − | 0.448737i | −0.706917 | − | 0.707297i | \(-0.749915\pi\) |
0.965995 | + | 0.258560i | \(0.0832479\pi\) | |||||||
\(500\) | −9.00913e10 | − | 5.20143e10i | −1.44146 | − | 0.832228i | ||||
\(501\) | −3.93553e10 | − | 4.15473e10i | −0.624673 | − | 0.659465i | ||||
\(502\) | −5.11748e10 | − | 8.86373e10i | −0.805825 | − | 1.39573i | ||||
\(503\) | − | 6.78797e10i | − | 1.06040i | −0.847874 | − | 0.530198i | \(-0.822118\pi\) | ||
0.847874 | − | 0.530198i | \(-0.177882\pi\) | |||||||
\(504\) | 2.17842e11 | + | 1.18129e10i | 3.37613 | + | 0.183077i | ||||
\(505\) | 2.02386e10 | 0.311182 | ||||||||
\(506\) | 8.30853e9 | − | 4.79693e9i | 0.126742 | − | 0.0731748i | ||||
\(507\) | −1.32806e10 | − | 5.55394e10i | −0.200995 | − | 0.840561i | ||||
\(508\) | 2.12486e10 | − | 3.68037e10i | 0.319062 | − | 0.552632i | ||||
\(509\) | 8.45265e10 | + | 4.88014e10i | 1.25928 | + | 0.727045i | 0.972934 | − | 0.231082i | \(-0.0742265\pi\) |
0.286344 | + | 0.958127i | \(0.407560\pi\) | |||||||
\(510\) | 2.30810e9 | − | 7.76613e9i | 0.0341172 | − | 0.114795i | ||||
\(511\) | 2.81558e10 | + | 4.87673e10i | 0.412937 | + | 0.715228i | ||||
\(512\) | − | 6.57238e10i | − | 0.956408i | ||||||
\(513\) | 3.18915e10 | + | 3.75465e10i | 0.460474 | + | 0.542126i | ||||
\(514\) | −1.48448e11 | −2.12678 | ||||||||
\(515\) | −3.52420e10 | + | 2.03470e10i | −0.500993 | + | 0.289248i | ||||
\(516\) | −2.58505e10 | − | 7.68277e9i | −0.364645 | − | 0.108373i | ||||
\(517\) | −3.25444e9 | + | 5.63686e9i | −0.0455527 | + | 0.0788996i | ||||
\(518\) | −1.22253e11 | − | 7.05825e10i | −1.69800 | − | 0.980343i | ||||
\(519\) | 8.57652e10 | − | 2.05082e10i | 1.18207 | − | 0.282655i | ||||
\(520\) | 1.35999e10 | + | 2.35558e10i | 0.186005 | + | 0.322169i | ||||
\(521\) | 1.29018e11i | 1.75106i | 0.483166 | + | 0.875529i | \(0.339487\pi\) | ||||
−0.483166 | + | 0.875529i | \(0.660513\pi\) | |||||||
\(522\) | 1.54481e11 | − | 7.83594e10i | 2.08062 | − | 1.05538i | ||||
\(523\) | 6.06027e10 | 0.810000 | 0.405000 | − | 0.914317i | \(-0.367272\pi\) | ||||
0.405000 | + | 0.914317i | \(0.367272\pi\) | |||||||
\(524\) | −1.48902e10 | + | 8.59686e9i | −0.197504 | + | 0.114029i | ||||
\(525\) | −5.66541e10 | + | 5.36652e10i | −0.745752 | + | 0.706408i | ||||
\(526\) | −9.83624e10 | + | 1.70369e11i | −1.28495 | + | 2.22560i | ||||
\(527\) | −2.14819e10 | − | 1.24026e10i | −0.278503 | − | 0.160794i | ||||
\(528\) | −5.49986e10 | − | 5.80618e10i | −0.707645 | − | 0.747058i | ||||
\(529\) | −3.72751e10 | − | 6.45624e10i | −0.475988 | − | 0.824436i | ||||
\(530\) | − | 5.83149e10i | − | 0.739053i | ||||||
\(531\) | −2.86100e10 | − | 5.64029e10i | −0.359865 | − | 0.709452i | ||||
\(532\) | −1.69104e11 | −2.11110 | ||||||||
\(533\) | −4.36967e10 | + | 2.52283e10i | −0.541427 | + | 0.312593i | ||||
\(534\) | 3.07492e10 | + | 1.28593e11i | 0.378154 | + | 1.58144i | ||||
\(535\) | −2.32632e10 | + | 4.02930e10i | −0.283958 | + | 0.491830i | ||||
\(536\) | 1.09189e11 | + | 6.30401e10i | 1.32287 | + | 0.763761i | ||||
\(537\) | −2.96706e9 | + | 9.98337e9i | −0.0356804 | + | 0.120055i | ||||
\(538\) | −5.88723e10 | − | 1.01970e11i | −0.702719 | − | 1.21714i | ||||
\(539\) | − | 1.10620e10i | − | 0.131062i | ||||||
\(540\) | −7.09742e10 | − | 2.53508e10i | −0.834690 | − | 0.298138i | ||||
\(541\) | 7.82943e10 | 0.913990 | 0.456995 | − | 0.889469i | \(-0.348926\pi\) | ||||
0.456995 | + | 0.889469i | \(0.348926\pi\) | |||||||
\(542\) | 1.43448e11 | − | 8.28196e10i | 1.66225 | − | 0.959701i | ||||
\(543\) | 4.28212e10 | + | 1.27265e10i | 0.492560 | + | 0.146389i | ||||
\(544\) | 2.04266e10 | − | 3.53799e10i | 0.233239 | − | 0.403981i | ||||
\(545\) | 2.88966e10 | + | 1.66834e10i | 0.327537 | + | 0.189104i | ||||
\(546\) | 7.00740e10 | − | 1.67561e10i | 0.788472 | − | 0.188539i | ||||
\(547\) | 2.08950e10 | + | 3.61912e10i | 0.233396 | + | 0.404253i | 0.958805 | − | 0.284064i | \(-0.0916830\pi\) |
−0.725410 | + | 0.688317i | \(0.758350\pi\) | |||||||
\(548\) | 2.93556e11i | 3.25514i | ||||||||
\(549\) | 3.20669e9 | − | 5.91347e10i | 0.0352994 | − | 0.650958i | ||||
\(550\) | 5.36493e10 | 0.586291 | ||||||||
\(551\) | −7.04378e10 | + | 4.06673e10i | −0.764187 | + | 0.441203i | ||||
\(552\) | 4.26837e10 | − | 4.04319e10i | 0.459734 | − | 0.435479i | ||||
\(553\) | 7.95261e10 | − | 1.37743e11i | 0.850372 | − | 1.47289i | ||||
\(554\) | 1.46638e11 | + | 8.46613e10i | 1.55671 | + | 0.898765i | ||||
\(555\) | 2.03154e10 | + | 2.14469e10i | 0.214118 | + | 0.226043i | ||||
\(556\) | −1.41540e11 | − | 2.45154e11i | −1.48108 | − | 2.56531i | ||||
\(557\) | 5.58671e10i | 0.580410i | 0.956964 | + | 0.290205i | \(0.0937235\pi\) | ||||
−0.956964 | + | 0.290205i | \(0.906276\pi\) | |||||||
\(558\) | −1.75706e11 | + | 2.69492e11i | −1.81238 | + | 2.77977i | ||||
\(559\) | −5.39519e9 | −0.0552534 | ||||||||
\(560\) | 1.00900e11 | − | 5.82545e10i | 1.02598 | − | 0.592349i | ||||
\(561\) | 1.49083e9 | + | 6.23466e9i | 0.0150514 | + | 0.0629451i | ||||
\(562\) | 6.17481e10 | − | 1.06951e11i | 0.618982 | − | 1.07211i | ||||
\(563\) | −1.64465e11 | − | 9.49538e10i | −1.63697 | − | 0.945103i | −0.981870 | − | 0.189557i | \(-0.939295\pi\) |
−0.655096 | − | 0.755546i | \(-0.727372\pi\) | |||||||
\(564\) | −1.87587e10 | + | 6.31181e10i | −0.185390 | + | 0.623788i | ||||
\(565\) | 2.93447e10 | + | 5.08266e10i | 0.287963 | + | 0.498766i | ||||
\(566\) | − | 1.49566e11i | − | 1.45736i | ||||||
\(567\) | −7.14370e10 | + | 9.75782e10i | −0.691180 | + | 0.944106i | ||||
\(568\) | −2.56271e11 | −2.46210 | ||||||||
\(569\) | 7.94261e10 | − | 4.58567e10i | 0.757729 | − | 0.437475i | −0.0707506 | − | 0.997494i | \(-0.522539\pi\) |
0.828480 | + | 0.560019i | \(0.189206\pi\) | |||||||
\(570\) | 4.72945e10 | + | 1.40559e10i | 0.448034 | + | 0.133156i | ||||
\(571\) | −5.88051e10 | + | 1.01853e11i | −0.553185 | + | 0.958145i | 0.444857 | + | 0.895601i | \(0.353254\pi\) |
−0.998042 | + | 0.0625430i | \(0.980079\pi\) | |||||||
\(572\) | −3.07676e10 | − | 1.77637e10i | −0.287415 | − | 0.165939i | ||||
\(573\) | −9.22002e10 | + | 2.20469e10i | −0.855290 | + | 0.204517i | ||||
\(574\) | 2.02662e11 | + | 3.51022e11i | 1.86692 | + | 3.23360i | ||||
\(575\) | 2.10302e10i | 0.192385i | ||||||||
\(576\) | −1.76658e11 | − | 1.15179e11i | −1.60488 | − | 1.04637i | ||||
\(577\) | 7.31119e10 | 0.659606 | 0.329803 | − | 0.944050i | \(-0.393018\pi\) | ||||
0.329803 | + | 0.944050i | \(0.393018\pi\) | |||||||
\(578\) | 1.75737e11 | − | 1.01462e11i | 1.57454 | − | 0.909058i | ||||
\(579\) | 7.15866e10 | − | 6.78099e10i | 0.636968 | − | 0.603363i | ||||
\(580\) | 6.22160e10 | − | 1.07761e11i | 0.549781 | − | 0.952249i | ||||
\(581\) | −3.62621e9 | − | 2.09359e9i | −0.0318235 | − | 0.0183733i | ||||
\(582\) | 1.02809e10 | + | 1.08535e10i | 0.0896063 | + | 0.0945970i | ||||
\(583\) | 2.30702e10 | + | 3.99588e10i | 0.199700 | + | 0.345890i | ||||
\(584\) | − | 2.37246e11i | − | 2.03961i | ||||||
\(585\) | −1.50555e10 | − | 8.16410e8i | −0.128550 | − | 0.00697084i | ||||
\(586\) | −9.21939e10 | −0.781829 | ||||||||
\(587\) | −1.35807e11 | + | 7.84084e10i | −1.14385 | + | 0.660404i | −0.947382 | − | 0.320105i | \(-0.896282\pi\) |
−0.196472 | + | 0.980509i | \(0.562948\pi\) | |||||||
\(588\) | −2.60256e10 | − | 1.08839e11i | −0.217717 | − | 0.910492i | ||||
\(589\) | 7.55297e10 | − | 1.30821e11i | 0.627562 | − | 1.08697i | ||||
\(590\) | −5.48559e10 | − | 3.16711e10i | −0.452705 | − | 0.261369i | ||||
\(591\) | −2.68249e10 | + | 9.02588e10i | −0.219882 | + | 0.739843i | ||||
\(592\) | 1.58564e11 | + | 2.74642e11i | 1.29098 | + | 2.23604i | ||||
\(593\) | − | 1.86748e11i | − | 1.51021i | −0.655603 | − | 0.755106i | \(-0.727585\pi\) | ||
0.655603 | − | 0.755106i | \(-0.272415\pi\) | |||||||
\(594\) | 8.17891e10 | − | 1.49286e10i | 0.656976 | − | 0.119915i | ||||
\(595\) | −9.33883e9 | −0.0745117 | ||||||||
\(596\) | −1.84129e11 | + | 1.06307e11i | −1.45928 | + | 0.842514i | ||||
\(597\) | 1.79689e11 | + | 5.34037e10i | 1.41457 | + | 0.420411i | ||||
\(598\) | 9.70842e9 | − | 1.68155e10i | 0.0759178 | − | 0.131494i | ||||
\(599\) | −1.30393e11 | − | 7.52824e10i | −1.01285 | − | 0.584771i | −0.100828 | − | 0.994904i | \(-0.532149\pi\) |
−0.912026 | + | 0.410133i | \(0.865482\pi\) | |||||||
\(600\) | 3.19759e11 | − | 7.64607e10i | 2.46728 | − | 0.589975i | ||||
\(601\) | −1.24614e11 | − | 2.15838e11i | −0.955145 | − | 1.65436i | −0.734036 | − | 0.679110i | \(-0.762366\pi\) |
−0.221109 | − | 0.975249i | \(-0.570968\pi\) | |||||||
\(602\) | 4.33403e10i | 0.329994i | ||||||||
\(603\) | −6.23294e10 | + | 3.16161e10i | −0.471437 | + | 0.239133i | ||||
\(604\) | −9.53439e9 | −0.0716383 | ||||||||
\(605\) | −3.54291e10 | + | 2.04550e10i | −0.264447 | + | 0.152679i | ||||
\(606\) | −1.63976e11 | + | 1.55325e11i | −1.21588 | + | 1.15173i | ||||
\(607\) | 1.80399e10 | − | 3.12461e10i | 0.132886 | − | 0.230166i | −0.791902 | − | 0.610649i | \(-0.790909\pi\) |
0.924788 | + | 0.380483i | \(0.124242\pi\) | |||||||
\(608\) | 2.15458e11 | + | 1.24395e11i | 1.57670 | + | 0.910306i | ||||
\(609\) | −1.37309e11 | − | 1.44956e11i | −0.998227 | − | 1.05382i | ||||
\(610\) | −2.96567e10 | − | 5.13669e10i | −0.214192 | − | 0.370992i | ||||
\(611\) | 1.31732e10i | 0.0945206i | ||||||||
\(612\) | 2.93367e10 | + | 5.78357e10i | 0.209125 | + | 0.412278i | ||||
\(613\) | 1.35788e11 | 0.961658 | 0.480829 | − | 0.876814i | \(-0.340336\pi\) | ||||
0.480829 | + | 0.876814i | \(0.340336\pi\) | |||||||
\(614\) | −1.00916e11 | + | 5.82642e10i | −0.710050 | + | 0.409947i | ||||
\(615\) | −1.97263e10 | − | 8.24954e10i | −0.137894 | − | 0.576673i | ||||
\(616\) | −8.64420e10 | + | 1.49722e11i | −0.600346 | + | 1.03983i | ||||
\(617\) | 1.99576e11 | + | 1.15225e11i | 1.37711 | + | 0.795072i | 0.991810 | − | 0.127721i | \(-0.0407662\pi\) |
0.385295 | + | 0.922793i | \(0.374100\pi\) | |||||||
\(618\) | 1.29379e11 | − | 4.35327e11i | 0.886973 | − | 2.98443i | ||||
\(619\) | −4.64661e10 | − | 8.04816e10i | −0.316500 | − | 0.548194i | 0.663255 | − | 0.748393i | \(-0.269174\pi\) |
−0.979755 | + | 0.200199i | \(0.935841\pi\) | |||||||
\(620\) | 2.31102e11i | 1.56400i | ||||||||
\(621\) | 5.85195e9 | + | 3.20609e10i | 0.0393490 | + | 0.215580i | ||||
\(622\) | 1.38450e11 | 0.924980 | ||||||||
\(623\) | 1.31987e11 | − | 7.62026e10i | 0.876150 | − | 0.505845i | ||||
\(624\) | −1.55153e11 | − | 4.61114e10i | −1.02334 | − | 0.304138i | ||||
\(625\) | −4.94857e10 | + | 8.57117e10i | −0.324309 | + | 0.561720i | ||||
\(626\) | 1.17681e11 | + | 6.79430e10i | 0.766316 | + | 0.442433i | ||||
\(627\) | −3.79681e10 | + | 9.07892e9i | −0.245668 | + | 0.0587441i | ||||
\(628\) | 5.13094e9 | + | 8.88705e9i | 0.0329882 | + | 0.0571372i | ||||
\(629\) | − | 2.54196e10i | − | 0.162392i | ||||||
\(630\) | −6.55834e9 | + | 1.20943e11i | −0.0416324 | + | 0.767745i | ||||
\(631\) | −8.34022e10 | −0.526090 | −0.263045 | − | 0.964784i | \(-0.584727\pi\) | ||||
−0.263045 | + | 0.964784i | \(0.584727\pi\) | |||||||
\(632\) | −5.80325e11 | + | 3.35051e11i | −3.63750 | + | 2.10011i | ||||
\(633\) | −1.38018e11 | + | 1.30737e11i | −0.859651 | + | 0.814298i | ||||
\(634\) | −1.31252e11 | + | 2.27335e11i | −0.812359 | + | 1.40705i | ||||
\(635\) | 1.23775e10 | + | 7.14618e9i | 0.0761272 | + | 0.0439520i | ||||
\(636\) | 3.21001e11 | + | 3.38879e11i | 1.96190 | + | 2.07117i | ||||
\(637\) | −1.11940e10 | − | 1.93887e10i | −0.0679876 | − | 0.117758i | ||||
\(638\) | 1.37268e11i | 0.828489i | ||||||||
\(639\) | 7.75861e10 | − | 1.18999e11i | 0.465351 | − | 0.713740i | ||||
\(640\) | −6.11645e10 | −0.364569 | ||||||||
\(641\) | −1.75293e11 | + | 1.01205e11i | −1.03832 | + | 0.599476i | −0.919358 | − | 0.393423i | \(-0.871291\pi\) |
−0.118965 | + | 0.992898i | \(0.537958\pi\) | |||||||
\(642\) | −1.20755e11 | − | 5.04999e11i | −0.710829 | − | 2.97269i | ||||
\(643\) | −1.46356e11 | + | 2.53496e11i | −0.856184 | + | 1.48295i | 0.0193590 | + | 0.999813i | \(0.493837\pi\) |
−0.875543 | + | 0.483141i | \(0.839496\pi\) | |||||||
\(644\) | −9.68856e10 | − | 5.59369e10i | −0.563269 | − | 0.325203i | ||||
\(645\) | 2.58382e9 | − | 8.69386e9i | 0.0149287 | − | 0.0502312i | ||||
\(646\) | −2.12276e10 | − | 3.67673e10i | −0.121891 | − | 0.211121i | ||||
\(647\) | − | 5.77437e10i | − | 0.329524i | −0.986333 | − | 0.164762i | \(-0.947314\pi\) | ||
0.986333 | − | 0.164762i | \(-0.0526856\pi\) | |||||||
\(648\) | 4.66201e11 | − | 2.05543e11i | 2.64407 | − | 1.16574i | ||||
\(649\) | 5.01182e10 | 0.282499 | ||||||||
\(650\) | 9.40328e10 | − | 5.42898e10i | 0.526776 | − | 0.304134i | ||||
\(651\) | 3.55463e11 | + | 1.05644e11i | 1.97911 | + | 0.588193i | ||||
\(652\) | 3.43785e11 | − | 5.95453e11i | 1.90238 | − | 3.29502i | ||||
\(653\) | 1.97662e11 | + | 1.14120e11i | 1.08710 | + | 0.627639i | 0.932804 | − | 0.360385i | \(-0.117355\pi\) |
0.154299 | + | 0.988024i | \(0.450688\pi\) | |||||||
\(654\) | −3.62165e11 | + | 8.66009e10i | −1.97968 | + | 0.473381i | ||||
\(655\) | −2.89124e9 | − | 5.00777e9i | −0.0157079 | − | 0.0272069i | ||||
\(656\) | − | 9.10566e11i | − | 4.91696i | ||||||
\(657\) | 1.10165e11 | + | 7.18262e10i | 0.591263 | + | 0.385498i | ||||
\(658\) | 1.05822e11 | 0.564512 | ||||||||
\(659\) | 2.84269e11 | − | 1.64123e11i | 1.50726 | − | 0.870217i | 0.507295 | − | 0.861772i | \(-0.330645\pi\) |
0.999964 | − | 0.00844460i | \(-0.00268803\pi\) | |||||||
\(660\) | 4.33596e10 | − | 4.10720e10i | 0.228512 | − | 0.216456i | ||||
\(661\) | −1.43424e11 | + | 2.48417e11i | −0.751304 | + | 1.30130i | 0.195888 | + | 0.980626i | \(0.437241\pi\) |
−0.947191 | + | 0.320670i | \(0.896092\pi\) | |||||||
\(662\) | −4.24062e11 | − | 2.44833e11i | −2.20799 | − | 1.27479i | ||||
\(663\) | 8.92213e9 | + | 9.41906e9i | 0.0461758 | + | 0.0487476i | ||||
\(664\) | 8.82050e9 | + | 1.52776e10i | 0.0453755 | + | 0.0785926i | ||||
\(665\) | − | 5.68719e10i | − | 0.290811i | ||||||
\(666\) | −3.29197e11 | − | 1.78513e10i | −1.67324 | − | 0.0907346i | ||||
\(667\) | −5.38083e10 | −0.271860 | ||||||||
\(668\) | 3.97320e11 | − | 2.29393e11i | 1.99542 | − | 1.15206i | ||||
\(669\) | −2.24576e10 | − | 9.39179e10i | −0.112114 | − | 0.468861i | ||||
\(670\) | −3.49989e10 | + | 6.06199e10i | −0.173682 | + | 0.300826i | ||||
\(671\) | 4.06430e10 | + | 2.34653e10i | 0.200491 | + | 0.115754i | ||||
\(672\) | −1.73991e11 | + | 5.85435e11i | −0.853200 | + | 2.87079i | ||||
\(673\) | 2.95892e10 | + | 5.12500e10i | 0.144236 | + | 0.249824i | 0.929088 | − | 0.369860i | \(-0.120594\pi\) |
−0.784852 | + | 0.619684i | \(0.787261\pi\) | |||||||
\(674\) | 5.12571e11i | 2.48379i | ||||||||
\(675\) | −6.13027e10 | + | 1.71628e11i | −0.295301 | + | 0.826748i | ||||
\(676\) | 4.57802e11 | 2.19226 | ||||||||
\(677\) | −1.63457e11 | + | 9.43721e10i | −0.778126 | + | 0.449251i | −0.835766 | − | 0.549086i | \(-0.814976\pi\) |
0.0576400 | + | 0.998337i | \(0.481642\pi\) | |||||||
\(678\) | −6.27834e11 | − | 1.86593e11i | −2.97116 | − | 0.883030i | ||||
\(679\) | 8.61612e9 | − | 1.49236e10i | 0.0405352 | − | 0.0702090i | ||||
\(680\) | 3.40741e10 | + | 1.96727e10i | 0.159363 | + | 0.0920084i | ||||
\(681\) | 3.22402e9 | − | 7.70927e8i | 0.0149903 | − | 0.00358447i | ||||
\(682\) | −1.27471e11 | − | 2.20787e11i | −0.589216 | − | 1.02055i | ||||
\(683\) | 8.88600e10i | 0.408342i | 0.978935 | + | 0.204171i | \(0.0654498\pi\) | ||||
−0.978935 | + | 0.204171i | \(0.934550\pi\) | |||||||
\(684\) | −3.52210e11 | + | 1.78656e11i | −1.60908 | + | 0.816193i | ||||
\(685\) | −9.87268e10 | −0.448408 | ||||||||
\(686\) | 2.66266e11 | − | 1.53729e11i | 1.20232 | − | 0.694158i | ||||
\(687\) | 1.78621e11 | − | 1.69197e11i | 0.801873 | − | 0.759568i | ||||
\(688\) | 4.86822e10 | − | 8.43200e10i | 0.217278 | − | 0.376337i | ||||
\(689\) | 8.08718e10 | + | 4.66914e10i | 0.358856 | + | 0.207186i | ||||
\(690\) | 2.24472e10 | + | 2.36974e10i | 0.0990296 | + | 0.104545i | ||||
\(691\) | −2.25765e10 | − | 3.91037e10i | −0.0990251 | − | 0.171516i | 0.812256 | − | 0.583301i | \(-0.198239\pi\) |
−0.911281 | + | 0.411784i | \(0.864906\pi\) | |||||||
\(692\) | 7.06949e11i | 3.08293i | ||||||||
\(693\) | −4.33528e10 | − | 8.54675e10i | −0.187968 | − | 0.370568i | ||||
\(694\) | 1.00662e11 | 0.433938 | ||||||||
\(695\) | 8.24484e10 | − | 4.76016e10i | 0.353381 | − | 0.204025i | ||||
\(696\) | 1.95634e11 | + | 8.18142e11i | 0.833695 | + | 3.48652i | ||||
\(697\) | −3.64934e10 | + | 6.32084e10i | −0.154626 | + | 0.267821i | ||||
\(698\) | −2.10290e11 | − | 1.21411e11i | −0.885926 | − | 0.511489i | ||||
\(699\) | −5.70296e10 | + | 1.91889e11i | −0.238887 | + | 0.803790i | ||||
\(700\) | −3.12801e11 | − | 5.41788e11i | −1.30280 | − | 2.25651i | ||||
\(701\) | − | 1.98855e11i | − | 0.823500i | −0.911297 | − | 0.411750i | \(-0.864918\pi\) | ||
0.911297 | − | 0.411750i | \(-0.135082\pi\) | |||||||
\(702\) | 1.28247e11 | − | 1.08932e11i | 0.528081 | − | 0.448544i | ||||
\(703\) | 1.54801e11 | 0.633801 | ||||||||
\(704\) | 1.44731e11 | − | 8.35603e10i | 0.589210 | − | 0.340180i | ||||
\(705\) | −2.12274e10 | − | 6.30880e9i | −0.0859292 | − | 0.0255382i | ||||
\(706\) | −2.29427e10 | + | 3.97380e10i | −0.0923477 | + | 0.159951i | ||||
\(707\) | 2.25467e11 | + | 1.30173e11i | 0.902413 | + | 0.521009i | ||||
\(708\) | 4.93115e11 | − | 1.17914e11i | 1.96253 | − | 0.469279i | ||||
\(709\) | 4.68743e10 | + | 8.11887e10i | 0.185503 | + | 0.321300i | 0.943746 | − | 0.330672i | \(-0.107275\pi\) |
−0.758243 | + | 0.651972i | \(0.773942\pi\) | |||||||
\(710\) | − | 1.42278e11i | − | 0.559892i | ||||||
\(711\) | 2.01132e10 | − | 3.70909e11i | 0.0787052 | − | 1.45141i | ||||
\(712\) | −6.42098e11 | −2.49851 | ||||||||
\(713\) | 8.65471e10 | − | 4.99680e10i | 0.334884 | − | 0.193345i | ||||
\(714\) | 7.56646e10 | − | 7.16727e10i | 0.291139 | − | 0.275779i | ||||
\(715\) | 5.97417e9 | − | 1.03476e10i | 0.0228588 | − | 0.0395926i | ||||
\(716\) | −7.23087e10 | − | 4.17474e10i | −0.275130 | − | 0.158847i | ||||
\(717\) | −1.72544e11 | − | 1.82154e11i | −0.652863 | − | 0.689225i | ||||
\(718\) | 3.88367e11 | + | 6.72671e11i | 1.46132 | + | 2.53108i | ||||
\(719\) | − | 1.69858e11i | − | 0.635582i | −0.948161 | − | 0.317791i | \(-0.897059\pi\) | ||
0.948161 | − | 0.317791i | \(-0.102941\pi\) | |||||||
\(720\) | 1.48609e11 | − | 2.27931e11i | 0.552987 | − | 0.848153i | ||||
\(721\) | −5.23483e11 | −1.93714 | ||||||||
\(722\) | −2.18652e11 | + | 1.26239e11i | −0.804646 | + | 0.464562i | ||||
\(723\) | 1.10774e9 | + | 4.63258e9i | 0.00405402 | + | 0.0169539i | ||||
\(724\) | −1.79065e11 | + | 3.10150e11i | −0.651713 | + | 1.12880i | ||||
\(725\) | −2.60585e11 | − | 1.50449e11i | −0.943188 | − | 0.544550i | ||||
\(726\) | 1.30066e11 | − | 4.37638e11i | 0.468185 | − | 1.57532i | ||||
\(727\) | −1.36204e11 | − | 2.35912e11i | −0.487587 | − | 0.844526i | 0.512311 | − | 0.858800i | \(-0.328789\pi\) |
−0.999898 | + | 0.0142744i | \(0.995456\pi\) | |||||||
\(728\) | 3.49897e11i | 1.24570i | ||||||||
\(729\) | −4.56990e10 | + | 2.78708e11i | −0.161807 | + | 0.986822i | ||||
\(730\) | 1.31715e11 | 0.463815 | ||||||||
\(731\) | −6.75870e9 | + | 3.90214e9i | −0.0236698 | + | 0.0136657i | ||||
\(732\) | 4.55096e11 | + | 1.35255e11i | 1.58511 | + | 0.471094i | ||||
\(733\) | 1.52152e11 | − | 2.63536e11i | 0.527064 | − | 0.912901i | −0.472439 | − | 0.881363i | \(-0.656626\pi\) |
0.999503 | − | 0.0315378i | \(-0.0100404\pi\) | |||||||
\(734\) | 4.05897e11 | + | 2.34345e11i | 1.39840 | + | 0.807367i | ||||
\(735\) | 3.66041e10 | − | 8.75275e9i | 0.125424 | − | 0.0299913i | ||||
\(736\) | 8.22955e10 | + | 1.42540e11i | 0.280456 | + | 0.485764i | ||||
\(737\) | − | 5.53844e10i | − | 0.187723i | ||||||
\(738\) | 7.92954e11 | + | 5.16998e11i | 2.67314 | + | 1.74286i | ||||
\(739\) | −7.86648e10 | −0.263756 | −0.131878 | − | 0.991266i | \(-0.542101\pi\) | ||||
−0.131878 | + | 0.991266i | \(0.542101\pi\) | |||||||
\(740\) | −2.05098e11 | + | 1.18413e11i | −0.683966 | + | 0.394888i | ||||
\(741\) | −5.73606e10 | + | 5.43344e10i | −0.190257 | + | 0.180219i | ||||
\(742\) | 3.75078e11 | − | 6.49655e11i | 1.23739 | − | 2.14322i | ||||
\(743\) | −3.53569e11 | − | 2.04133e11i | −1.16016 | − | 0.669821i | −0.208820 | − | 0.977954i | \(-0.566962\pi\) |
−0.951343 | + | 0.308133i | \(0.900296\pi\) | |||||||
\(744\) | −1.07441e12 | − | 1.13426e12i | −3.50655 | − | 3.70185i | ||||
\(745\) | −3.57524e10 | − | 6.19251e10i | −0.116059 | − | 0.201021i | ||||
\(746\) | 4.05812e11i | 1.31030i | ||||||||
\(747\) | −9.76451e9 | − | 5.29499e8i | −0.0313594 | − | 0.00170052i | ||||
\(748\) | −5.13913e10 | −0.164166 | ||||||||
\(749\) | −5.18325e11 | + | 2.99255e11i | −1.64693 | + | 0.950856i | ||||
\(750\) | 9.08035e10 | + | 3.79741e11i | 0.286984 | + | 1.20017i | ||||
\(751\) | 1.30881e11 | − | 2.26693e11i | 0.411450 | − | 0.712652i | −0.583599 | − | 0.812042i | \(-0.698356\pi\) |
0.995049 | + | 0.0993900i | \(0.0316891\pi\) | |||||||
\(752\) | −2.05881e11 | − | 1.18865e11i | −0.643790 | − | 0.371692i | ||||
\(753\) | −7.84926e10 | + | 2.64107e11i | −0.244146 | + | 0.821485i | ||||
\(754\) | 1.38907e11 | + | 2.40594e11i | 0.429773 | + | 0.744388i | ||||
\(755\) | − | 3.20654e9i | − | 0.00986844i | ||||||
\(756\) | −6.27630e11 | − | 7.38922e11i | −1.92140 | − | 2.26210i | ||||
\(757\) | 8.69747e10 | 0.264856 | 0.132428 | − | 0.991193i | \(-0.457723\pi\) | ||||
0.132428 | + | 0.991193i | \(0.457723\pi\) | |||||||
\(758\) | 4.58304e11 | − | 2.64602e11i | 1.38828 | − | 0.801523i | ||||
\(759\) | −2.47564e10 | − | 7.35761e9i | −0.0745968 | − | 0.0221702i | ||||
\(760\) | −1.19803e11 | + | 2.07506e11i | −0.359099 | + | 0.621978i | ||||
\(761\) | 5.62723e11 | + | 3.24888e11i | 1.67786 | + | 0.968713i | 0.963022 | + | 0.269424i | \(0.0868334\pi\) |
0.714839 | + | 0.699289i | \(0.246500\pi\) | |||||||
\(762\) | −1.55130e11 | + | 3.70946e10i | −0.460124 | + | 0.110025i | ||||
\(763\) | 2.14614e11 | + | 3.71723e11i | 0.633228 | + | 1.09678i | ||||
\(764\) | − | 7.59991e11i | − | 2.23067i | ||||||
\(765\) | −1.94509e10 | + | 9.86632e9i | −0.0567929 | + | 0.0288078i | ||||
\(766\) | −3.02480e10 | −0.0878580 | ||||||||
\(767\) | 8.78437e10 | − | 5.07166e10i | 0.253822 | − | 0.146544i | ||||
\(768\) | 1.16760e10 | − | 1.10600e10i | 0.0335620 | − | 0.0317914i | ||||
\(769\) | 9.15317e8 | − | 1.58538e9i | 0.00261738 | − | 0.00453343i | −0.864714 | − | 0.502265i | \(-0.832500\pi\) |
0.867331 | + | 0.497732i | \(0.165834\pi\) | |||||||
\(770\) | −8.31234e10 | − | 4.79913e10i | −0.236461 | − | 0.136521i | ||||
\(771\) | 2.74818e11 | + | 2.90125e11i | 0.777729 | + | 0.821045i | ||||
\(772\) | 3.95247e11 | + | 6.84588e11i | 1.11276 | + | 1.92735i | ||||
\(773\) | − | 4.83772e11i | − | 1.35495i | −0.735547 | − | 0.677474i | \(-0.763075\pi\) | ||
0.735547 | − | 0.677474i | \(-0.236925\pi\) | |||||||
\(774\) | 4.57883e10 | + | 9.02691e10i | 0.127582 | + | 0.251521i | ||||
\(775\) | 5.58846e11 | 1.54912 | ||||||||
\(776\) | −6.28743e10 | + | 3.63005e10i | −0.173391 | + | 0.100107i | ||||
\(777\) | 8.83776e10 | + | 3.69595e11i | 0.242470 | + | 1.01401i | ||||
\(778\) | 4.49815e9 | − | 7.79103e9i | 0.0122777 | − | 0.0212655i | ||||
\(779\) | −3.84929e11 | − | 2.22239e11i | −1.04528 | − | 0.603490i | ||||
\(780\) | 3.44353e10 | − | 1.15866e11i | 0.0930305 | − | 0.313023i | ||||
\(781\) | 5.62873e10 | + | 9.74924e10i | 0.151289 | + | 0.262039i | ||||
\(782\) | − | 2.80870e10i | − | 0.0751065i | ||||||
\(783\) | −4.39131e11 | − | 1.56850e11i | −1.16828 | − | 0.417290i | ||||
\(784\) | 4.04028e11 | 1.06942 | ||||||||
\(785\) | −2.98883e9 | + | 1.72560e9i | −0.00787087 | + | 0.00454425i | ||||
\(786\) | 6.18584e10 | + | 1.83843e10i | 0.162072 | + | 0.0481679i | ||||
\(787\) | 5.63882e10 | − | 9.76673e10i | 0.146991 | − | 0.254595i | −0.783123 | − | 0.621867i | \(-0.786375\pi\) |
0.930114 | + | 0.367271i | \(0.119708\pi\) | |||||||
\(788\) | −6.53736e11 | − | 3.77435e11i | −1.69550 | − | 0.978897i | ||||
\(789\) | 5.15061e11 | − | 1.23161e11i | 1.32908 | − | 0.317809i | ||||
\(790\) | −1.86015e11 | − | 3.22188e11i | −0.477573 | − | 0.827181i | ||||
\(791\) | 7.54975e11i | 1.92853i | ||||||||
\(792\) | −2.18624e10 | + | 4.03165e11i | −0.0555644 | + | 1.02467i | ||||
\(793\) | 9.49818e10 | 0.240186 | ||||||||
\(794\) | −1.10974e11 | + | 6.40708e10i | −0.279215 | + | 0.161205i | ||||
\(795\) | −1.13969e11 | + | 1.07957e11i | −0.285312 | + | 0.270260i | ||||
\(796\) | −7.51406e11 | + | 1.30147e12i | −1.87164 | + | 3.24178i | ||||
\(797\) | −2.85447e11 | − | 1.64803e11i | −0.707443 | − | 0.408443i | 0.102670 | − | 0.994715i | \(-0.467261\pi\) |
−0.810114 | + | 0.586273i | \(0.800595\pi\) | |||||||
\(798\) | 4.36475e11 | + | 4.60785e11i | 1.07634 | + | 1.13628i | ||||
\(799\) | 9.52769e9 | + | 1.65024e10i | 0.0233776 | + | 0.0404912i | ||||
\(800\) | 9.20399e11i | 2.24707i | ||||||||
\(801\) | 1.94395e11 | − | 2.98157e11i | 0.472232 | − | 0.724294i | ||||
\(802\) | −8.17580e11 | −1.97621 | ||||||||
\(803\) | −9.02547e10 | + | 5.21086e10i | −0.217074 | + | 0.125328i | ||||
\(804\) | −1.30303e11 | − | 5.44929e11i | −0.311840 | − | 1.30412i | ||||
\(805\) | 1.88123e10 | − | 3.25839e10i | 0.0447980 | − | 0.0775924i | ||||
\(806\) | −4.46845e11 | − | 2.57986e11i | −1.05881 | − | 0.611303i | ||||
\(807\) | −9.02991e10 | + | 3.03833e11i | −0.212907 | + | 0.716375i | ||||
\(808\) | −5.48433e11 | − | 9.49914e11i | −1.28670 | − | 2.22863i | ||||
\(809\) | − | 7.47472e10i | − | 0.174502i | −0.996186 | − | 0.0872511i | \(-0.972192\pi\) | ||
0.996186 | − | 0.0872511i | \(-0.0278082\pi\) | |||||||
\(810\) | 1.14114e11 | + | 2.58828e11i | 0.265094 | + | 0.601272i | ||||
\(811\) | −3.26425e10 | −0.0754570 | −0.0377285 | − | 0.999288i | \(-0.512012\pi\) | ||||
−0.0377285 | + | 0.999288i | \(0.512012\pi\) | |||||||
\(812\) | 1.38623e12 | − | 8.00340e11i | 3.18868 | − | 1.84099i | ||||
\(813\) | −4.27422e11 | − | 1.27030e11i | −0.978351 | − | 0.290766i | ||||
\(814\) | 1.30629e11 | − | 2.26256e11i | 0.297537 | − | 0.515349i | ||||
\(815\) | 2.00259e11 | + | 1.15619e11i | 0.453901 | + | 0.262060i | ||||
\(816\) | −2.27715e11 | + | 5.44511e10i | −0.513607 | + | 0.122814i | ||||
\(817\) | −2.37634e10 | − | 4.11594e10i | −0.0533360 | − | 0.0923806i | ||||
\(818\) | − | 3.93125e11i | − | 0.878047i | ||||||
\(819\) | −1.62474e11 | − | 1.05931e11i | −0.361117 | − | 0.235444i | ||||
\(820\) | 6.79997e11 | 1.50401 | ||||||||
\(821\) | −2.33044e11 | + | 1.34548e11i | −0.512939 | + | 0.296145i | −0.734041 | − | 0.679105i | \(-0.762368\pi\) |
0.221102 | + | 0.975251i | \(0.429035\pi\) | |||||||
\(822\) | 7.99900e11 | − | 7.57699e11i | 1.75206 | − | 1.65962i | ||||
\(823\) | 3.47774e11 | − | 6.02362e11i | 0.758049 | − | 1.31298i | −0.185795 | − | 0.982589i | \(-0.559486\pi\) |
0.943844 | − | 0.330391i | \(-0.107181\pi\) | |||||||
\(824\) | 1.91000e12 | + | 1.10274e12i | 4.14310 | + | 2.39202i | ||||
\(825\) | −9.93194e10 | − | 1.04851e11i | −0.214397 | − | 0.226338i | ||||
\(826\) | −4.07414e11 | − | 7.05661e11i | −0.875216 | − | 1.51592i | ||||
\(827\) | 5.94239e11i | 1.27040i | 0.772349 | + | 0.635198i | \(0.219082\pi\) | ||||
−0.772349 | + | 0.635198i | \(0.780918\pi\) | |||||||
\(828\) | −2.60890e11 | − | 1.41472e10i | −0.555054 | − | 0.0300988i | ||||
\(829\) | 4.75360e10 | 0.100648 | 0.0503239 | − | 0.998733i | \(-0.483975\pi\) | ||||
0.0503239 | + | 0.998733i | \(0.483975\pi\) | |||||||
\(830\) | −8.48187e9 | + | 4.89701e9i | −0.0178723 | + | 0.0103186i | ||||
\(831\) | −1.06006e11 | − | 4.43317e11i | −0.222293 | − | 0.929631i | ||||
\(832\) | 1.69116e11 | − | 2.92917e11i | 0.352932 | − | 0.611296i | ||||
\(833\) | −2.80462e10 | − | 1.61925e10i | −0.0582498 | − | 0.0336305i | ||||
\(834\) | −3.02682e11 | + | 1.01844e12i | −0.625636 | + | 2.10510i | ||||
\(835\) | 7.71477e10 | + | 1.33624e11i | 0.158700 | + | 0.274877i | ||||
\(836\) | − | 3.12965e11i | − | 0.640723i | ||||||
\(837\) | 8.51969e11 | − | 1.55507e11i | 1.73589 | − | 0.316845i | ||||
\(838\) | −1.72567e12 | −3.49929 | ||||||||
\(839\) | 3.49558e11 | − | 2.01818e11i | 0.705459 | − | 0.407297i | −0.103919 | − | 0.994586i | \(-0.533138\pi\) |
0.809377 | + | 0.587289i | \(0.199805\pi\) | |||||||
\(840\) | −5.63827e11 | − | 1.67570e11i | −1.13248 | − | 0.336572i | ||||
\(841\) | 1.34819e11 | − | 2.33513e11i | 0.269505 | − | 0.466796i | ||||
\(842\) | 4.77157e10 | + | 2.75487e10i | 0.0949321 | + | 0.0548091i | ||||
\(843\) | −3.23335e11 | + | 7.73158e10i | −0.640240 | + | 0.153094i | ||||
\(844\) | −7.62034e11 | − | 1.31988e12i | −1.50177 | − | 2.60115i | ||||
\(845\) | 1.53965e11i | 0.301992i | ||||||||
\(846\) | 2.20406e11 | − | 1.11799e11i | 0.430271 | − | 0.218252i | ||||
\(847\) | −5.26262e11 | −1.02251 | ||||||||
\(848\) | −1.45946e12 | + | 8.42617e11i | −2.82233 | + | 1.62947i | ||||
\(849\) | −2.92309e11 | + | 2.76888e11i | −0.562616 | + | 0.532933i | ||||
\(850\) | 7.85317e10 | − | 1.36021e11i | 0.150442 | − | 0.260573i | ||||
\(851\) | 8.86909e10 | + | 5.12057e10i | 0.169107 | + | 0.0976338i | ||||
\(852\) | 7.83184e11 | + | 8.26805e11i | 1.48630 | + | 1.56908i | ||||
\(853\) | 4.49610e11 | + | 7.78748e11i | 0.849259 | + | 1.47096i | 0.881870 | + | 0.471492i | \(0.156284\pi\) |
−0.0326111 | + | 0.999468i | \(0.510382\pi\) | |||||||
\(854\) | − | 7.63002e11i | − | 1.43448i | ||||||
\(855\) | −6.00843e10 | − | 1.18453e11i | −0.112434 | − | 0.221657i | ||||
\(856\) | 2.52158e12 | 4.69654 | ||||||||
\(857\) | −1.05952e11 | + | 6.11716e10i | −0.196421 | + | 0.113404i | −0.594985 | − | 0.803737i | \(-0.702842\pi\) |
0.398564 | + | 0.917140i | \(0.369509\pi\) | |||||||
\(858\) | 3.10108e10 | + | 1.29688e11i | 0.0572222 | + | 0.239303i | ||||
\(859\) | −6.24886e10 | + | 1.08233e11i | −0.114770 | + | 0.198787i | −0.917688 | − | 0.397302i | \(-0.869946\pi\) |
0.802918 | + | 0.596090i | \(0.203280\pi\) | |||||||
\(860\) | 6.29689e10 | + | 3.63551e10i | 0.115115 | + | 0.0664617i | ||||
\(861\) | 3.10847e11 | − | 1.04592e12i | 0.565631 | − | 1.90320i | ||||
\(862\) | 3.22337e11 | + | 5.58303e11i | 0.583822 | + | 1.01121i | ||||
\(863\) | − | 2.94209e11i | − | 0.530411i | −0.964192 | − | 0.265205i | \(-0.914560\pi\) | ||
0.964192 | − | 0.265205i | \(-0.0854397\pi\) | |||||||
\(864\) | 2.56114e11 | + | 1.40316e12i | 0.459598 | + | 2.51798i | ||||
\(865\) | −2.37756e11 | −0.424685 | ||||||||
\(866\) | −5.55374e11 | + | 3.20645e11i | −0.987447 | + | 0.570103i | ||||
\(867\) | −5.23633e11 | − | 1.55624e11i | −0.926724 | − | 0.275423i | ||||
\(868\) | −1.48644e12 | + | 2.57459e12i | −2.61859 | + | 4.53554i | ||||
\(869\) | 2.54924e11 | + | 1.47181e11i | 0.447026 | + | 0.258090i | ||||
\(870\) | −4.54220e11 | + | 1.08613e11i | −0.792847 | + | 0.189585i | ||||
\(871\) | −5.60457e10 | − | 9.70739e10i | −0.0973799 | − | 0.168667i | ||||
\(872\) | − | 1.80838e12i | − | 3.12769i | ||||||
\(873\) | 2.17913e9 | − | 4.01855e10i | 0.00375169 | − | 0.0691851i | ||||
\(874\) | 1.71045e11 | 0.293133 | ||||||||
\(875\) | 3.89762e11 | − | 2.25029e11i | 0.664917 | − | 0.383890i | ||||
\(876\) | −7.65424e11 | + | 7.25042e11i | −1.29983 | + | 1.23125i | ||||
\(877\) | −5.03683e11 | + | 8.72404e11i | −0.851449 | + | 1.47475i | 0.0284512 | + | 0.999595i | \(0.490942\pi\) |
−0.879900 | + | 0.475158i | \(0.842391\pi\) | |||||||
\(878\) | −3.87302e8 | − | 2.23609e8i | −0.000651736 | − | 0.000376280i | ||||
\(879\) | 1.70676e11 | + | 1.80182e11i | 0.285902 | + | 0.301825i | ||||
\(880\) | 1.07813e11 | + | 1.86738e11i | 0.179780 | + | 0.311387i | ||||
\(881\) | − | 4.62844e11i | − | 0.768300i | −0.923271 | − | 0.384150i | \(-0.874495\pi\) | ||
0.923271 | − | 0.384150i | \(-0.125505\pi\) | |||||||
\(882\) | −2.29397e11 | + | 3.51842e11i | −0.379065 | + | 0.581397i | ||||
\(883\) | 3.39859e11 | 0.559057 | 0.279528 | − | 0.960137i | \(-0.409822\pi\) | ||||
0.279528 | + | 0.960137i | \(0.409822\pi\) | |||||||
\(884\) | −9.00752e10 | + | 5.20049e10i | −0.147501 | + | 0.0851600i | ||||
\(885\) | 3.96559e10 | + | 1.65841e11i | 0.0646449 | + | 0.270346i | ||||
\(886\) | 7.81219e11 | − | 1.35311e12i | 1.26776 | − | 2.19583i | ||||
\(887\) | 3.07275e11 | + | 1.77405e11i | 0.496401 | + | 0.286598i | 0.727226 | − | 0.686398i | \(-0.240809\pi\) |
−0.230825 | + | 0.972995i | \(0.574142\pi\) | |||||||
\(888\) | 4.56112e11 | − | 1.53469e12i | 0.733532 | − | 2.46814i | ||||
\(889\) | 9.19278e10 | + | 1.59224e11i | 0.147177 | + | 0.254918i | ||||
\(890\) | − | 3.56483e11i | − | 0.568170i | ||||||
\(891\) | −1.80590e11 | − | 1.32210e11i | −0.286539 | − | 0.209775i | ||||
\(892\) | 7.74150e11 | 1.22283 | ||||||||
\(893\) | −1.00497e11 | + | 5.80221e10i | −0.158033 | + | 0.0912405i | ||||
\(894\) | 7.64929e11 | + | 2.27337e11i | 1.19749 | + | 0.355893i | ||||
\(895\) | 1.40402e10 | − | 2.43184e10i | 0.0218817 | − | 0.0379003i | ||||
\(896\) | −6.81401e11 | − | 3.93407e11i | −1.05723 | − | 0.610393i | ||||
\(897\) | −5.08368e10 | + | 1.21561e10i | −0.0785250 | + | 0.0187769i | ||||
\(898\) | 9.40890e10 | + | 1.62967e11i | 0.144688 | + | 0.250608i | ||||
\(899\) | 1.42987e12i | 2.18907i | ||||||||
\(900\) | −1.22389e12 | − | 7.97965e11i | −1.86541 | − | 1.21623i | ||||
\(901\) | 1.35081e11 | 0.204972 | ||||||||
\(902\) | −6.49644e11 | + | 3.75072e11i | −0.981407 | + | 0.566615i | ||||
\(903\) | 8.47034e10 | − | 8.02347e10i | 0.127394 | − | 0.120673i | ||||
\(904\) | 1.59039e12 | − | 2.75464e12i | 2.38139 | − | 4.12468i | ||||
\(905\) | −1.04307e11 | − | 6.02219e10i | −0.155497 | − | 0.0897760i | ||||
\(906\) | 2.46092e10 | + | 2.59799e10i | 0.0365246 | + | 0.0385589i | ||||
\(907\) | −4.71072e11 | − | 8.15921e11i | −0.696079 | − | 1.20564i | −0.969816 | − | 0.243839i | \(-0.921593\pi\) |
0.273737 | − | 0.961805i | \(-0.411740\pi\) | |||||||
\(908\) | 2.65751e10i | 0.0390959i | ||||||||
\(909\) | 6.07129e11 | + | 3.29227e10i | 0.889253 | + | 0.0482214i | ||||
\(910\) | −1.94257e11 | −0.283277 | ||||||||
\(911\) | −9.27030e10 | + | 5.35221e10i | −0.134592 | + | 0.0777069i | −0.565784 | − | 0.824553i | \(-0.691427\pi\) |
0.431192 | + | 0.902260i | \(0.358093\pi\) | |||||||
\(912\) | −3.31599e11 | − | 1.38675e12i | −0.479329 | − | 2.00456i | ||||
\(913\) | 3.87466e9 | − | 6.71111e9i | 0.00557636 | − | 0.00965853i | ||||
\(914\) | 6.29365e11 | + | 3.63364e11i | 0.901816 | + | 0.520664i | ||||
\(915\) | −4.54879e10 | + | 1.53055e11i | −0.0648950 | + | 0.218354i | ||||
\(916\) | 9.86210e11 | + | 1.70817e12i | 1.40084 | + | 2.42632i | ||||
\(917\) | − | 7.43852e10i | − | 0.105198i | ||||||
\(918\) | 8.18730e10 | − | 2.29218e11i | 0.115284 | − | 0.322759i | ||||
\(919\) | −9.49552e11 | −1.33124 | −0.665621 | − | 0.746290i | \(-0.731833\pi\) | ||||
−0.665621 | + | 0.746290i | \(0.731833\pi\) | |||||||
\(920\) | −1.37279e11 | + | 7.92580e10i | −0.191625 | + | 0.110635i | ||||
\(921\) | 3.00694e11 | + | 8.93664e10i | 0.417914 | + | 0.124204i | ||||
\(922\) | −6.82430e11 | + | 1.18200e12i | −0.944353 | + | 1.63567i | ||||
\(923\) | 1.97313e11 | + | 1.13919e11i | 0.271862 | + | 0.156960i | ||||
\(924\) | 7.47220e11 | − | 1.78675e11i | 1.02509 | − | 0.245118i | ||||
\(925\) | 2.86344e11 | + | 4.95963e11i | 0.391130 | + | 0.677458i | ||||
\(926\) | 1.07860e12i | 1.46696i | ||||||||
\(927\) | −1.09031e12 | + | 5.53052e11i | −1.47649 | + | 0.748940i | ||||
\(928\) | −2.35495e12 | −3.17534 | ||||||||
\(929\) | 9.88848e11 | − | 5.70912e11i | 1.32760 | − | 0.766489i | 0.342671 | − | 0.939456i | \(-0.388668\pi\) |
0.984928 | + | 0.172966i | \(0.0553351\pi\) | |||||||
\(930\) | 6.29722e11 | − | 5.96499e11i | 0.841815 | − | 0.797403i | ||||
\(931\) | 9.86097e10 | − | 1.70797e11i | 0.131256 | − | 0.227343i | ||||
\(932\) | −1.38984e12 | − | 8.02424e11i | −1.84205 | − | 1.06351i | ||||
\(933\) | −2.56309e11 | − | 2.70584e11i | −0.338250 | − | 0.357089i | ||||
\(934\) | 3.67988e11 | + | 6.37374e11i | 0.483555 | + | 0.837543i | ||||
\(935\) | − | 1.72836e10i | − | 0.0226145i | ||||||
\(936\) | 3.69660e11 | + | 7.28764e11i | 0.481614 | + | 0.949475i | ||||
\(937\) | −6.05876e11 | −0.786005 | −0.393002 | − | 0.919537i | \(-0.628564\pi\) | ||||
−0.393002 | + | 0.919537i | \(0.628564\pi\) | |||||||
\(938\) | −7.79808e11 | + | 4.50223e11i | −1.00734 | + | 0.581589i | ||||
\(939\) | −8.50726e10 | − | 3.55774e11i | −0.109428 | − | 0.457627i | ||||
\(940\) | 8.87667e10 | − | 1.53748e11i | 0.113694 | − | 0.196924i | ||||
\(941\) | −1.05979e12 | − | 6.11870e11i | −1.35164 | − | 0.780370i | −0.363161 | − | 0.931726i | \(-0.618303\pi\) |
−0.988479 | + | 0.151356i | \(0.951636\pi\) | |||||||
\(942\) | 1.09725e10 | − | 3.69195e10i | 0.0139348 | − | 0.0468870i | ||||
\(943\) | −1.47026e11 | − | 2.54657e11i | −0.185929 | − | 0.322039i | ||||
\(944\) | 1.83052e12i | 2.30508i | ||||||||
\(945\) | 2.48509e11 | − | 2.11080e11i | 0.311613 | − | 0.264680i | ||||
\(946\) | −8.02108e10 | −0.100154 | ||||||||
\(947\) | 1.15908e10 | − | 6.69195e9i | 0.0144116 | − | 0.00832057i | −0.492777 | − | 0.870156i | \(-0.664018\pi\) |
0.507189 | + | 0.861835i | \(0.330685\pi\) | |||||||
\(948\) | 2.85449e12 | + | 8.48354e11i | 3.53423 | + | 1.05037i | ||||
\(949\) | −1.05461e11 | + | 1.82665e11i | −0.130026 | + | 0.225211i | ||||
\(950\) | 8.28345e11 | + | 4.78245e11i | 1.01699 | + | 0.587160i | ||||
\(951\) | 6.87281e11 | − | 1.64342e11i | 0.840257 | − | 0.200922i | ||||
\(952\) | 2.53067e11 | + | 4.38325e11i | 0.308098 | + | 0.533641i | ||||
\(953\) | − | 8.41398e11i | − | 1.02007i | −0.860154 | − | 0.510035i | \(-0.829633\pi\) | ||
0.860154 | − | 0.510035i | \(-0.170367\pi\) | |||||||
\(954\) | 9.48625e10 | − | 1.74936e12i | 0.114525 | − | 2.11197i | ||||
\(955\) | 2.55595e11 | 0.307283 | ||||||||
\(956\) | 1.74195e12 | − | 1.00571e12i | 2.08547 | − | 1.20405i | ||||
\(957\) | 2.68274e11 | − | 2.54121e11i | 0.319839 | − | 0.302965i | ||||
\(958\) | 3.91064e11 | − | 6.77343e11i | 0.464286 | − | 0.804167i | ||||
\(959\) | −1.09986e12 | − | 6.35006e11i | −1.30036 | − | 0.750764i | ||||
\(960\) | 3.91019e11 | + | 4.12797e11i | 0.460376 | + | 0.486017i | ||||
\(961\) | −9.01377e11 | − | 1.56123e12i | −1.05685 | − | 1.83052i | ||||
\(962\) | − | 5.28754e11i | − | 0.617381i | ||||||
\(963\) | −7.63409e11 | + | 1.17089e12i | −0.887671 | + | 1.36148i | ||||
\(964\) | −3.81856e10 | −0.0442173 | ||||||||
\(965\) | −2.30236e11 | + | 1.32927e11i | −0.265500 | + | 0.153286i | ||||
\(966\) | 9.76514e10 | + | 4.08379e11i | 0.112142 | + | 0.468980i | ||||
\(967\) | 1.04286e10 | − | 1.80629e10i | 0.0119267 | − | 0.0206577i | −0.860000 | − | 0.510293i | \(-0.829537\pi\) |
0.871927 | + | 0.489636i | \(0.162870\pi\) | |||||||
\(968\) | 1.92014e12 | + | 1.10860e12i | 2.18692 | + | 1.26262i | ||||
\(969\) | −3.25592e10 | + | 1.09553e11i | −0.0369299 | + | 0.124259i | ||||
\(970\) | −2.01535e10 | − | 3.49069e10i | −0.0227648 | − | 0.0394297i | ||||
\(971\) | 1.21234e11i | 0.136379i | 0.997672 | + | 0.0681894i | \(0.0217222\pi\) | ||||
−0.997672 | + | 0.0681894i | \(0.978278\pi\) | |||||||
\(972\) | −2.08789e12 | − | 8.75945e11i | −2.33906 | − | 0.981322i | ||||
\(973\) | 1.22469e12 | 1.36638 | ||||||||
\(974\) | −2.28902e12 | + | 1.32157e12i | −2.54340 | + | 1.46843i | ||||
\(975\) | −2.80183e11 | − | 8.32706e10i | −0.310044 | − | 0.0921453i | ||||
\(976\) | −8.57046e11 | + | 1.48445e12i | −0.944506 | + | 1.63593i | ||||
\(977\) | 4.44845e11 | + | 2.56831e11i | 0.488236 | + | 0.281883i | 0.723842 | − | 0.689965i | \(-0.242374\pi\) |
−0.235606 | + | 0.971849i | \(0.575708\pi\) | |||||||
\(978\) | −2.50987e12 | + | 6.00160e11i | −2.74345 | + | 0.656012i | ||||
\(979\) | 1.41030e11 | + | 2.44271e11i | 0.153526 | + | 0.265914i | ||||
\(980\) | 3.01721e11i | 0.327116i | ||||||||
\(981\) | 8.39718e11 | + | 5.47487e11i | 0.906687 | + | 0.591150i | ||||
\(982\) | 1.30154e12 | 1.39962 | ||||||||
\(983\) | 8.13405e11 | − | 4.69620e11i | 0.871150 | − | 0.502959i | 0.00341979 | − | 0.999994i | \(-0.498911\pi\) |
0.867730 | + | 0.497035i | \(0.165578\pi\) | |||||||
\(984\) | −3.33744e12 | + | 3.16136e12i | −3.55986 | + | 3.37205i | ||||
\(985\) | 1.26936e11 | − | 2.19860e11i | 0.134847 | − | 0.233562i | ||||
\(986\) | 3.48026e11 | + | 2.00933e11i | 0.368217 | + | 0.212590i | ||||
\(987\) | −1.95906e11 | − | 2.06817e11i | −0.206433 | − | 0.217930i | ||||
\(988\) | −3.16702e11 | − | 5.48544e11i | −0.332371 | − | 0.575683i | ||||
\(989\) | − | 3.14422e10i | − | 0.0328645i | ||||||
\(990\) | −2.23831e11 | − | 1.21377e10i | −0.233013 | − | 0.0126356i | ||||
\(991\) | 5.00750e11 | 0.519190 | 0.259595 | − | 0.965718i | \(-0.416411\pi\) | ||||
0.259595 | + | 0.965718i | \(0.416411\pi\) | |||||||
\(992\) | 3.78778e12 | − | 2.18688e12i | 3.91146 | − | 2.25828i | ||||
\(993\) | 3.06559e11 | + | 1.28203e12i | 0.315295 | + | 1.31857i | ||||
\(994\) | 9.15124e11 | − | 1.58504e12i | 0.937421 | − | 1.62366i | ||||
\(995\) | −4.37703e11 | − | 2.52708e11i | −0.446567 | − | 0.257826i | ||||
\(996\) | 2.23337e10 | − | 7.51469e10i | 0.0226946 | − | 0.0763614i | ||||
\(997\) | 4.68011e11 | + | 8.10618e11i | 0.473669 | + | 0.820419i | 0.999546 | − | 0.0301419i | \(-0.00959593\pi\) |
−0.525876 | + | 0.850561i | \(0.676263\pi\) | |||||||
\(998\) | − | 9.66662e11i | − | 0.974434i | ||||||
\(999\) | 5.74545e11 | + | 6.76423e11i | 0.576848 | + | 0.679136i |
(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 | 9.9.d.a.5.7 | yes | 14 | |
3.2 | odd | 2 | 27.9.d.a.17.1 | 14 | |||
4.3 | odd | 2 | 144.9.q.a.113.6 | 14 | |||
9.2 | odd | 6 | inner | 9.9.d.a.2.7 | ✓ | 14 | |
9.4 | even | 3 | 81.9.b.a.80.14 | 14 | |||
9.5 | odd | 6 | 81.9.b.a.80.1 | 14 | |||
9.7 | even | 3 | 27.9.d.a.8.1 | 14 | |||
12.11 | even | 2 | 432.9.q.a.17.4 | 14 | |||
36.7 | odd | 6 | 432.9.q.a.305.4 | 14 | |||
36.11 | even | 6 | 144.9.q.a.65.6 | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
9.9.d.a.2.7 | ✓ | 14 | 9.2 | odd | 6 | inner | |
9.9.d.a.5.7 | yes | 14 | 1.1 | even | 1 | trivial | |
27.9.d.a.8.1 | 14 | 9.7 | even | 3 | |||
27.9.d.a.17.1 | 14 | 3.2 | odd | 2 | |||
81.9.b.a.80.1 | 14 | 9.5 | odd | 6 | |||
81.9.b.a.80.14 | 14 | 9.4 | even | 3 | |||
144.9.q.a.65.6 | 14 | 36.11 | even | 6 | |||
144.9.q.a.113.6 | 14 | 4.3 | odd | 2 | |||
432.9.q.a.17.4 | 14 | 12.11 | even | 2 | |||
432.9.q.a.305.4 | 14 | 36.7 | odd | 6 |