Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,10,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(19.5713617742\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Character | \(\chi\) | \(=\) | 38.9 |
Dual form | 38.10.e.b.17.3 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.77837 | + | 15.7569i | 0.122788 | + | 0.696364i | ||||
\(3\) | −127.296 | + | 106.814i | −0.907337 | + | 0.761346i | −0.971610 | − | 0.236586i | \(-0.923971\pi\) |
0.0642736 | + | 0.997932i | \(0.479527\pi\) | |||||||
\(4\) | −240.561 | + | 87.5572i | −0.469846 | + | 0.171010i | ||||
\(5\) | −1972.56 | − | 717.951i | −1.41145 | − | 0.513724i | −0.479892 | − | 0.877328i | \(-0.659324\pi\) |
−0.931554 | + | 0.363603i | \(0.881546\pi\) | |||||||
\(6\) | −2036.73 | − | 1709.02i | −0.641584 | − | 0.538353i | ||||
\(7\) | −5187.34 | + | 8984.74i | −0.816589 | + | 1.41437i | 0.0915915 | + | 0.995797i | \(0.470805\pi\) |
−0.908181 | + | 0.418578i | \(0.862529\pi\) | |||||||
\(8\) | −2048.00 | − | 3547.24i | −0.176777 | − | 0.306186i | ||||
\(9\) | 1377.11 | − | 7809.96i | 0.0699643 | − | 0.396787i | ||||
\(10\) | 5832.22 | − | 33076.1i | 0.184431 | − | 1.04596i | ||||
\(11\) | −6508.32 | − | 11272.7i | −0.134030 | − | 0.232147i | 0.791197 | − | 0.611562i | \(-0.209458\pi\) |
−0.925226 | + | 0.379415i | \(0.876125\pi\) | |||||||
\(12\) | 21270.1 | − | 36841.0i | 0.296111 | − | 0.512879i | ||||
\(13\) | −65661.1 | − | 55096.2i | −0.637622 | − | 0.535029i | 0.265665 | − | 0.964065i | \(-0.414409\pi\) |
−0.903287 | + | 0.429037i | \(0.858853\pi\) | |||||||
\(14\) | −155984. | − | 56773.6i | −1.08519 | − | 0.394976i | ||||
\(15\) | 327785. | − | 119304.i | 1.67178 | − | 0.608478i | ||||
\(16\) | 50203.5 | − | 42125.7i | 0.191511 | − | 0.160697i | ||||
\(17\) | 77342.4 | + | 438630.i | 0.224594 | + | 1.27373i | 0.863461 | + | 0.504416i | \(0.168292\pi\) |
−0.638867 | + | 0.769317i | \(0.720597\pi\) | |||||||
\(18\) | 126887. | 0.284899 | ||||||||
\(19\) | 138403. | + | 550938.i | 0.243642 | + | 0.969865i | ||||
\(20\) | 537382. | 0.751015 | ||||||||
\(21\) | −299368. | − | 1.69780e6i | −0.335907 | − | 1.90502i | ||||
\(22\) | 159541. | − | 133871.i | 0.145201 | − | 0.121838i | ||||
\(23\) | 729729. | − | 265599.i | 0.543733 | − | 0.197903i | −0.0555266 | − | 0.998457i | \(-0.517684\pi\) |
0.599260 | + | 0.800554i | \(0.295462\pi\) | |||||||
\(24\) | 639596. | + | 232794.i | 0.393510 | + | 0.143226i | ||||
\(25\) | 1.87934e6 | + | 1.57695e6i | 0.962222 | + | 0.807400i | ||||
\(26\) | 685716. | − | 1.18770e6i | 0.294283 | − | 0.509712i | ||||
\(27\) | −976479. | − | 1.69131e6i | −0.353611 | − | 0.612472i | ||||
\(28\) | 461196. | − | 2.61557e6i | 0.141799 | − | 0.804184i | ||||
\(29\) | −1.11687e6 | + | 6.33410e6i | −0.293233 | + | 1.66301i | 0.381065 | + | 0.924548i | \(0.375557\pi\) |
−0.674298 | + | 0.738459i | \(0.735554\pi\) | |||||||
\(30\) | 2.79057e6 | + | 4.83342e6i | 0.628996 | + | 1.08945i | ||||
\(31\) | 2.34412e6 | − | 4.06013e6i | 0.455881 | − | 0.789609i | −0.542857 | − | 0.839825i | \(-0.682658\pi\) |
0.998738 | + | 0.0502160i | \(0.0159910\pi\) | |||||||
\(32\) | 803256. | + | 674012.i | 0.135419 | + | 0.113630i | ||||
\(33\) | 2.03257e6 | + | 739794.i | 0.298354 | + | 0.108592i | ||||
\(34\) | −6.69658e6 | + | 2.43736e6i | −0.859405 | + | 0.312798i | ||||
\(35\) | 1.66829e7 | − | 1.39986e7i | 1.87917 | − | 1.57681i | ||||
\(36\) | 352539. | + | 1.99935e6i | 0.0349821 | + | 0.198394i | ||||
\(37\) | −1.59448e7 | −1.39865 | −0.699327 | − | 0.714802i | \(-0.746517\pi\) | ||||
−0.699327 | + | 0.714802i | \(0.746517\pi\) | |||||||
\(38\) | −8.29655e6 | + | 3.71151e6i | −0.645463 | + | 0.288752i | ||||
\(39\) | 1.42434e7 | 0.985880 | ||||||||
\(40\) | 1.49305e6 | + | 8.46749e6i | 0.0922154 | + | 0.522980i | ||||
\(41\) | 2.44557e7 | − | 2.05208e7i | 1.35161 | − | 1.13414i | 0.373138 | − | 0.927776i | \(-0.378282\pi\) |
0.978476 | − | 0.206362i | \(-0.0661626\pi\) | |||||||
\(42\) | 2.59204e7 | − | 9.43424e6i | 1.28534 | − | 0.467827i | ||||
\(43\) | −8.63565e6 | − | 3.14312e6i | −0.385201 | − | 0.140202i | 0.142159 | − | 0.989844i | \(-0.454596\pi\) |
−0.527359 | + | 0.849642i | \(0.676818\pi\) | |||||||
\(44\) | 2.55266e6 | + | 2.14193e6i | 0.102673 | + | 0.0861527i | ||||
\(45\) | −8.32359e6 | + | 1.44169e7i | −0.302590 | + | 0.524101i | ||||
\(46\) | 6.21249e6 | + | 1.07603e7i | 0.204576 | + | 0.354337i | ||||
\(47\) | −2.53373e6 | + | 1.43695e7i | −0.0757390 | + | 0.429537i | 0.923234 | + | 0.384237i | \(0.125536\pi\) |
−0.998973 | + | 0.0453001i | \(0.985576\pi\) | |||||||
\(48\) | −1.89108e6 | + | 1.07249e7i | −0.0514191 | + | 0.291612i | ||||
\(49\) | −3.36402e7 | − | 5.82666e7i | −0.833637 | − | 1.44390i | ||||
\(50\) | −1.96264e7 | + | 3.39940e7i | −0.444095 | + | 0.769196i | ||||
\(51\) | −5.66972e7 | − | 4.75746e7i | −1.17353 | − | 0.984712i | ||||
\(52\) | 2.06196e7 | + | 7.50492e6i | 0.391080 | + | 0.142341i | ||||
\(53\) | −7.07629e7 | + | 2.57556e7i | −1.23187 | + | 0.448363i | −0.874237 | − | 0.485500i | \(-0.838638\pi\) |
−0.357631 | + | 0.933863i | \(0.616415\pi\) | |||||||
\(54\) | 2.39368e7 | − | 2.00854e7i | 0.383085 | − | 0.321446i | ||||
\(55\) | 4.74474e6 | + | 2.69087e7i | 0.0699166 | + | 0.396517i | ||||
\(56\) | 4.24947e7 | 0.577416 | ||||||||
\(57\) | −7.64659e7 | − | 5.53488e7i | −0.959469 | − | 0.694498i | ||||
\(58\) | −1.02909e8 | −1.19406 | ||||||||
\(59\) | 4.80180e6 | + | 2.72323e7i | 0.0515905 | + | 0.292584i | 0.999677 | − | 0.0254295i | \(-0.00809533\pi\) |
−0.948086 | + | 0.318014i | \(0.896984\pi\) | |||||||
\(60\) | −6.84065e7 | + | 5.73999e7i | −0.681423 | + | 0.571782i | ||||
\(61\) | −8.30464e7 | + | 3.02264e7i | −0.767956 | + | 0.279513i | −0.696141 | − | 0.717905i | \(-0.745101\pi\) |
−0.0718150 | + | 0.997418i | \(0.522879\pi\) | |||||||
\(62\) | 7.04879e7 | + | 2.56555e7i | 0.605832 | + | 0.220505i | ||||
\(63\) | 6.30269e7 | + | 5.28859e7i | 0.504073 | + | 0.422968i | ||||
\(64\) | −8.38861e6 | + | 1.45295e7i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 8.99638e7 | + | 1.55822e8i | 0.625112 | + | 1.08273i | ||||
\(66\) | −6.00965e6 | + | 3.40824e7i | −0.0389854 | + | 0.221097i | ||||
\(67\) | 2.88753e7 | − | 1.63760e8i | 0.175061 | − | 0.992821i | −0.763012 | − | 0.646384i | \(-0.776280\pi\) |
0.938073 | − | 0.346437i | \(-0.112609\pi\) | |||||||
\(68\) | −5.70108e7 | − | 9.87456e7i | −0.323346 | − | 0.560051i | ||||
\(69\) | −6.45217e7 | + | 1.11755e8i | −0.342677 | + | 0.593534i | ||||
\(70\) | 2.66927e8 | + | 2.23978e8i | 1.32877 | + | 1.11497i | ||||
\(71\) | −1.71185e8 | − | 6.23064e7i | −0.799474 | − | 0.290985i | −0.0902052 | − | 0.995923i | \(-0.528752\pi\) |
−0.709268 | + | 0.704939i | \(0.750975\pi\) | |||||||
\(72\) | −3.05241e7 | + | 1.11099e7i | −0.133859 | + | 0.0487206i | ||||
\(73\) | 1.26250e8 | − | 1.05937e8i | 0.520331 | − | 0.436610i | −0.344416 | − | 0.938817i | \(-0.611923\pi\) |
0.864747 | + | 0.502208i | \(0.167479\pi\) | |||||||
\(74\) | −4.43004e7 | − | 2.51240e8i | −0.171738 | − | 0.973972i | ||||
\(75\) | −4.07673e8 | −1.48777 | ||||||||
\(76\) | −8.15329e7 | − | 1.20416e8i | −0.280331 | − | 0.414022i | ||||
\(77\) | 1.35043e8 | 0.437790 | ||||||||
\(78\) | 3.95735e7 | + | 2.24433e8i | 0.121054 | + | 0.686532i | ||||
\(79\) | 2.65744e8 | − | 2.22986e8i | 0.767611 | − | 0.644102i | −0.172485 | − | 0.985012i | \(-0.555180\pi\) |
0.940096 | + | 0.340910i | \(0.110735\pi\) | |||||||
\(80\) | −1.29273e8 | + | 4.70517e7i | −0.352861 | + | 0.128431i | ||||
\(81\) | 4.51638e8 | + | 1.64383e8i | 1.16576 | + | 0.424301i | ||||
\(82\) | 3.91291e8 | + | 3.28332e8i | 0.955735 | + | 0.801957i | ||||
\(83\) | −6.06208e7 | + | 1.04998e8i | −0.140207 | + | 0.242846i | −0.927575 | − | 0.373638i | \(-0.878110\pi\) |
0.787367 | + | 0.616484i | \(0.211443\pi\) | |||||||
\(84\) | 2.20671e8 | + | 3.82213e8i | 0.483602 | + | 0.837624i | ||||
\(85\) | 1.62353e8 | − | 9.20751e8i | 0.337346 | − | 1.91319i | ||||
\(86\) | 2.55329e7 | − | 1.44804e8i | 0.0503334 | − | 0.285455i | ||||
\(87\) | −5.34397e8 | − | 9.25603e8i | −1.00006 | − | 1.73216i | ||||
\(88\) | −2.66581e7 | + | 4.61731e7i | −0.0473867 | + | 0.0820762i | ||||
\(89\) | −2.00737e8 | − | 1.68438e8i | −0.339134 | − | 0.284568i | 0.457275 | − | 0.889325i | \(-0.348826\pi\) |
−0.796410 | + | 0.604758i | \(0.793270\pi\) | |||||||
\(90\) | −2.50292e8 | − | 9.10987e7i | −0.402120 | − | 0.146360i | ||||
\(91\) | 8.35632e8 | − | 3.04145e8i | 1.27741 | − | 0.464938i | ||||
\(92\) | −1.52289e8 | + | 1.27786e8i | −0.221628 | + | 0.185968i | ||||
\(93\) | 1.35282e8 | + | 7.67221e8i | 0.187528 | + | 1.06352i | ||||
\(94\) | −2.33459e8 | −0.308414 | ||||||||
\(95\) | 1.22540e8 | − | 1.18612e9i | 0.154355 | − | 1.49408i | ||||
\(96\) | −1.74245e8 | −0.209382 | ||||||||
\(97\) | 1.98124e8 | + | 1.12362e9i | 0.227229 | + | 1.28868i | 0.858377 | + | 0.513019i | \(0.171473\pi\) |
−0.631148 | + | 0.775662i | \(0.717416\pi\) | |||||||
\(98\) | 8.24638e8 | − | 6.91953e8i | 0.903121 | − | 0.757808i | ||||
\(99\) | −9.70023e7 | + | 3.53059e7i | −0.101490 | + | 0.0369394i | ||||
\(100\) | −5.90170e8 | − | 2.14804e8i | −0.590170 | − | 0.214804i | ||||
\(101\) | 7.13689e8 | + | 5.98856e8i | 0.682438 | + | 0.572633i | 0.916717 | − | 0.399536i | \(-0.130829\pi\) |
−0.234280 | + | 0.972169i | \(0.575273\pi\) | |||||||
\(102\) | 5.92103e8 | − | 1.02555e9i | 0.541623 | − | 0.938118i | ||||
\(103\) | 8.92740e8 | + | 1.54627e9i | 0.781552 | + | 1.35369i | 0.931038 | + | 0.364923i | \(0.118905\pi\) |
−0.149486 | + | 0.988764i | \(0.547762\pi\) | |||||||
\(104\) | −6.09656e7 | + | 3.45753e8i | −0.0511016 | + | 0.289812i | ||||
\(105\) | −6.28418e8 | + | 3.56394e9i | −0.504542 | + | 2.86140i | ||||
\(106\) | −6.02434e8 | − | 1.04345e9i | −0.463482 | − | 0.802775i | ||||
\(107\) | −5.11484e8 | + | 8.85917e8i | −0.377229 | + | 0.653380i | −0.990658 | − | 0.136370i | \(-0.956456\pi\) |
0.613429 | + | 0.789750i | \(0.289790\pi\) | |||||||
\(108\) | 3.82989e8 | + | 3.21366e8i | 0.270882 | + | 0.227297i | ||||
\(109\) | 5.15562e8 | + | 1.87649e8i | 0.349834 | + | 0.127329i | 0.510960 | − | 0.859605i | \(-0.329290\pi\) |
−0.161126 | + | 0.986934i | \(0.551512\pi\) | |||||||
\(110\) | −4.10816e8 | + | 1.49525e8i | −0.267535 | + | 0.0973748i | ||||
\(111\) | 2.02970e9 | − | 1.70312e9i | 1.26905 | − | 1.06486i | ||||
\(112\) | 1.18066e8 | + | 6.69586e8i | 0.0708996 | + | 0.402092i | ||||
\(113\) | 7.99725e8 | 0.461411 | 0.230705 | − | 0.973024i | \(-0.425897\pi\) | ||||
0.230705 | + | 0.973024i | \(0.425897\pi\) | |||||||
\(114\) | 6.59676e8 | − | 1.35865e9i | 0.365813 | − | 0.753416i | ||||
\(115\) | −1.63012e9 | −0.869118 | ||||||||
\(116\) | −2.85920e8 | − | 1.62153e9i | −0.146617 | − | 0.831504i | ||||
\(117\) | −5.20722e8 | + | 4.36938e8i | −0.256903 | + | 0.215567i | ||||
\(118\) | −4.15757e8 | + | 1.51323e8i | −0.197410 | + | 0.0718515i | ||||
\(119\) | −4.34218e9 | − | 1.58043e9i | −1.98494 | − | 0.722458i | ||||
\(120\) | −1.09450e9 | − | 9.18398e8i | −0.481839 | − | 0.404311i | ||||
\(121\) | 1.09426e9 | − | 1.89531e9i | 0.464072 | − | 0.803796i | ||||
\(122\) | −7.07009e8 | − | 1.22458e9i | −0.288939 | − | 0.500457i | ||||
\(123\) | −9.21205e8 | + | 5.22441e9i | −0.362897 | + | 2.05809i | ||||
\(124\) | −2.08410e8 | + | 1.18195e9i | −0.0791629 | + | 0.448955i | ||||
\(125\) | −5.24975e8 | − | 9.09283e8i | −0.192328 | − | 0.333123i | ||||
\(126\) | −6.58207e8 | + | 1.14005e9i | −0.232646 | + | 0.402954i | ||||
\(127\) | −2.75810e9 | − | 2.31432e9i | −0.940790 | − | 0.789417i | 0.0369322 | − | 0.999318i | \(-0.488241\pi\) |
−0.977723 | + | 0.209901i | \(0.932686\pi\) | |||||||
\(128\) | −2.52247e8 | − | 9.18103e7i | −0.0830579 | − | 0.0302306i | ||||
\(129\) | 1.43501e9 | − | 5.22301e8i | 0.456249 | − | 0.166061i | ||||
\(130\) | −2.20532e9 | + | 1.85048e9i | −0.677215 | + | 0.568251i | ||||
\(131\) | −4.31264e8 | − | 2.44582e9i | −0.127945 | − | 0.725610i | −0.979515 | − | 0.201370i | \(-0.935461\pi\) |
0.851571 | − | 0.524240i | \(-0.175651\pi\) | |||||||
\(132\) | −5.53731e8 | −0.158751 | ||||||||
\(133\) | −5.66798e9 | − | 1.61439e9i | −1.57071 | − | 0.447380i | ||||
\(134\) | 2.66058e9 | 0.712861 | ||||||||
\(135\) | 7.11879e8 | + | 4.03727e9i | 0.184461 | + | 1.04613i | ||||
\(136\) | 1.39753e9 | − | 1.17267e9i | 0.350297 | − | 0.293934i | ||||
\(137\) | −2.77185e9 | + | 1.00887e9i | −0.672245 | + | 0.244677i | −0.655514 | − | 0.755183i | \(-0.727548\pi\) |
−0.0167310 | + | 0.999860i | \(0.505326\pi\) | |||||||
\(138\) | −1.94018e9 | − | 7.06167e8i | −0.455392 | − | 0.165749i | ||||
\(139\) | 5.83291e9 | + | 4.89440e9i | 1.32531 | + | 1.11207i | 0.985148 | + | 0.171705i | \(0.0549277\pi\) |
0.340166 | + | 0.940365i | \(0.389517\pi\) | |||||||
\(140\) | −2.78759e9 | + | 4.82824e9i | −0.613271 | + | 1.06222i | ||||
\(141\) | −1.21233e9 | − | 2.09981e9i | −0.258306 | − | 0.447399i | ||||
\(142\) | 5.06140e8 | − | 2.87047e9i | 0.104466 | − | 0.592454i | ||||
\(143\) | −1.93742e8 | + | 1.09876e9i | −0.0387446 | + | 0.219732i | ||||
\(144\) | −2.59865e8 | − | 4.50099e8i | −0.0503635 | − | 0.0872322i | ||||
\(145\) | 6.75067e9 | − | 1.16925e10i | 1.26821 | − | 2.19660i | ||||
\(146\) | 2.02001e9 | + | 1.69499e9i | 0.367930 | + | 0.308730i | ||||
\(147\) | 1.05059e10 | + | 3.82385e9i | 1.85570 | + | 0.675419i | ||||
\(148\) | 3.83569e9 | − | 1.39608e9i | 0.657152 | − | 0.239184i | ||||
\(149\) | −5.65674e9 | + | 4.74657e9i | −0.940218 | + | 0.788936i | −0.977623 | − | 0.210364i | \(-0.932535\pi\) |
0.0374056 | + | 0.999300i | \(0.488091\pi\) | |||||||
\(150\) | −1.13267e9 | − | 6.42367e9i | −0.182680 | − | 1.03603i | ||||
\(151\) | 3.35960e9 | 0.525886 | 0.262943 | − | 0.964811i | \(-0.415307\pi\) | ||||
0.262943 | + | 0.964811i | \(0.415307\pi\) | |||||||
\(152\) | 1.67086e9 | − | 1.61927e9i | 0.253889 | − | 0.246050i | ||||
\(153\) | 3.53220e9 | 0.521115 | ||||||||
\(154\) | 3.75201e8 | + | 2.12787e9i | 0.0537552 | + | 0.304861i | ||||
\(155\) | −7.53887e9 | + | 6.32586e9i | −1.04909 | + | 0.880293i | ||||
\(156\) | −3.42642e9 | + | 1.24711e9i | −0.463212 | + | 0.168595i | ||||
\(157\) | 9.71382e9 | + | 3.53554e9i | 1.27597 | + | 0.464416i | 0.889098 | − | 0.457716i | \(-0.151332\pi\) |
0.386875 | + | 0.922132i | \(0.373555\pi\) | |||||||
\(158\) | 4.25190e9 | + | 3.56777e9i | 0.542783 | + | 0.455449i | ||||
\(159\) | 6.25677e9 | − | 1.08370e10i | 0.776360 | − | 1.34469i | ||||
\(160\) | −1.10056e9 | − | 1.90622e9i | −0.132762 | − | 0.229950i | ||||
\(161\) | −1.39901e9 | + | 7.93418e9i | −0.164098 | + | 0.930648i | ||||
\(162\) | −1.33535e9 | + | 7.57315e9i | −0.152327 | + | 0.863891i | ||||
\(163\) | −5.17258e9 | − | 8.95918e9i | −0.573936 | − | 0.994086i | −0.996156 | − | 0.0875927i | \(-0.972083\pi\) |
0.422221 | − | 0.906493i | \(-0.361251\pi\) | |||||||
\(164\) | −4.08635e9 | + | 7.07777e9i | −0.441102 | + | 0.764010i | ||||
\(165\) | −3.47821e9 | − | 2.91857e9i | −0.365324 | − | 0.306543i | ||||
\(166\) | −1.82288e9 | − | 6.63473e8i | −0.186325 | − | 0.0678167i | ||||
\(167\) | −4.95190e9 | + | 1.80234e9i | −0.492660 | + | 0.179314i | −0.576390 | − | 0.817175i | \(-0.695539\pi\) |
0.0837297 | + | 0.996489i | \(0.473317\pi\) | |||||||
\(168\) | −5.40940e9 | + | 4.53903e9i | −0.523911 | + | 0.439613i | ||||
\(169\) | −5.65662e8 | − | 3.20803e9i | −0.0533417 | − | 0.302516i | ||||
\(170\) | 1.49593e10 | 1.37370 | ||||||||
\(171\) | 4.49340e9 | − | 3.22219e8i | 0.401876 | − | 0.0288183i | ||||
\(172\) | 2.35261e9 | 0.204961 | ||||||||
\(173\) | −1.58769e9 | − | 9.00422e9i | −0.134759 | − | 0.764256i | −0.975027 | − | 0.222085i | \(-0.928714\pi\) |
0.840268 | − | 0.542171i | \(-0.182397\pi\) | |||||||
\(174\) | 1.30999e10 | − | 1.09921e10i | 1.08342 | − | 0.909096i | ||||
\(175\) | −2.39173e10 | + | 8.70518e9i | −1.92771 | + | 0.701628i | ||||
\(176\) | −8.01612e8 | − | 2.91763e8i | −0.0629734 | − | 0.0229205i | ||||
\(177\) | −3.52004e9 | − | 2.95366e9i | −0.269568 | − | 0.226194i | ||||
\(178\) | 2.09635e9 | − | 3.63098e9i | 0.156521 | − | 0.271103i | ||||
\(179\) | −5.42107e9 | − | 9.38958e9i | −0.394681 | − | 0.683608i | 0.598379 | − | 0.801213i | \(-0.295812\pi\) |
−0.993060 | + | 0.117605i | \(0.962478\pi\) | |||||||
\(180\) | 7.40033e8 | − | 4.19693e9i | 0.0525442 | − | 0.297993i | ||||
\(181\) | 2.05678e9 | − | 1.16646e10i | 0.142440 | − | 0.807820i | −0.826946 | − | 0.562281i | \(-0.809924\pi\) |
0.969387 | − | 0.245539i | \(-0.0789650\pi\) | |||||||
\(182\) | 7.11409e9 | + | 1.23220e10i | 0.480616 | + | 0.832451i | ||||
\(183\) | 7.34286e9 | − | 1.27182e10i | 0.483989 | − | 0.838293i | ||||
\(184\) | −2.43663e9 | − | 2.04457e9i | −0.156715 | − | 0.131499i | ||||
\(185\) | 3.14519e10 | + | 1.14476e10i | 1.97412 | + | 0.718522i | ||||
\(186\) | −1.17132e10 | + | 4.26325e9i | −0.717574 | + | 0.261176i | ||||
\(187\) | 4.44120e9 | − | 3.72661e9i | 0.265591 | − | 0.222857i | ||||
\(188\) | −6.48634e8 | − | 3.67859e9i | −0.0378695 | − | 0.214769i | ||||
\(189\) | 2.02613e10 | 1.15502 | ||||||||
\(190\) | 1.90301e10 | − | 1.36464e9i | 1.05937 | − | 0.0759671i | ||||
\(191\) | 1.71879e10 | 0.934484 | 0.467242 | − | 0.884129i | \(-0.345248\pi\) | ||||
0.467242 | + | 0.884129i | \(0.345248\pi\) | |||||||
\(192\) | −4.84117e8 | − | 2.74556e9i | −0.0257096 | − | 0.145806i | ||||
\(193\) | 4.44688e9 | − | 3.73137e9i | 0.230700 | − | 0.193580i | −0.520109 | − | 0.854100i | \(-0.674109\pi\) |
0.750808 | + | 0.660520i | \(0.229664\pi\) | |||||||
\(194\) | −1.71543e10 | + | 6.24365e9i | −0.869491 | + | 0.316469i | ||||
\(195\) | −2.80960e10 | − | 1.02261e10i | −1.39152 | − | 0.506470i | ||||
\(196\) | 1.31942e10 | + | 1.10713e10i | 0.638603 | + | 0.535851i | ||||
\(197\) | −1.90393e10 | + | 3.29770e10i | −0.900643 | + | 1.55996i | −0.0739812 | + | 0.997260i | \(0.523570\pi\) |
−0.826662 | + | 0.562699i | \(0.809763\pi\) | |||||||
\(198\) | −8.25821e8 | − | 1.43036e9i | −0.0381850 | − | 0.0661383i | ||||
\(199\) | −1.14806e9 | + | 6.51098e9i | −0.0518951 | + | 0.294311i | −0.999699 | − | 0.0245429i | \(-0.992187\pi\) |
0.947804 | + | 0.318854i | \(0.103298\pi\) | |||||||
\(200\) | 1.74494e9 | − | 9.89607e9i | 0.0771164 | − | 0.437349i | ||||
\(201\) | 1.38161e10 | + | 2.39302e10i | 0.597041 | + | 1.03411i | ||||
\(202\) | −7.45324e9 | + | 1.29094e10i | −0.314966 | + | 0.545537i | ||||
\(203\) | −5.11167e10 | − | 4.28920e10i | −2.11266 | − | 1.77274i | ||||
\(204\) | 1.78046e10 | + | 6.48036e9i | 0.719776 | + | 0.261977i | ||||
\(205\) | −6.29731e10 | + | 2.29203e10i | −2.49036 | + | 0.906418i | ||||
\(206\) | −2.18841e10 | + | 1.83630e10i | −0.846694 | + | 0.710461i | ||||
\(207\) | −1.06941e9 | − | 6.06491e9i | −0.0404834 | − | 0.229593i | ||||
\(208\) | −5.61739e9 | −0.208089 | ||||||||
\(209\) | 5.30981e9 | − | 5.14585e9i | 0.192495 | − | 0.186552i | ||||
\(210\) | −5.79027e10 | −2.05453 | ||||||||
\(211\) | −6.34359e9 | − | 3.59763e10i | −0.220325 | − | 1.24953i | −0.871423 | − | 0.490533i | \(-0.836802\pi\) |
0.651098 | − | 0.758994i | \(-0.274309\pi\) | |||||||
\(212\) | 1.47677e10 | − | 1.23916e10i | 0.502114 | − | 0.421324i | ||||
\(213\) | 2.84464e10 | − | 1.03536e10i | 0.946932 | − | 0.344655i | ||||
\(214\) | −1.53804e10 | − | 5.59801e9i | −0.501310 | − | 0.182462i | ||||
\(215\) | 1.47777e10 | + | 1.24000e10i | 0.471665 | + | 0.395774i | ||||
\(216\) | −3.99966e9 | + | 6.92761e9i | −0.125020 | + | 0.216542i | ||||
\(217\) | 2.43195e10 | + | 4.21225e10i | 0.744535 | + | 1.28957i | ||||
\(218\) | −1.52435e9 | + | 8.64504e9i | −0.0457121 | + | 0.259246i | ||||
\(219\) | −4.75564e9 | + | 2.69706e10i | −0.139705 | + | 0.792304i | ||||
\(220\) | −3.49745e9 | − | 6.05777e9i | −0.100658 | − | 0.174345i | ||||
\(221\) | 1.90885e10 | − | 3.30623e10i | 0.538278 | − | 0.932325i | ||||
\(222\) | 3.24752e10 | + | 2.72499e10i | 0.897354 | + | 0.752969i | ||||
\(223\) | −3.88488e10 | − | 1.41398e10i | −1.05198 | − | 0.382888i | −0.242567 | − | 0.970135i | \(-0.577990\pi\) |
−0.809408 | + | 0.587247i | \(0.800212\pi\) | |||||||
\(224\) | −1.02226e10 | + | 3.72072e9i | −0.271297 | + | 0.0987439i | ||||
\(225\) | 1.49040e10 | − | 1.25059e10i | 0.387687 | − | 0.325308i | ||||
\(226\) | 2.22193e9 | + | 1.26012e10i | 0.0566556 | + | 0.321310i | ||||
\(227\) | −9.51762e9 | −0.237910 | −0.118955 | − | 0.992900i | \(-0.537954\pi\) | ||||
−0.118955 | + | 0.992900i | \(0.537954\pi\) | |||||||
\(228\) | 2.32409e10 | + | 6.61964e9i | 0.569569 | + | 0.162229i | ||||
\(229\) | −5.30818e10 | −1.27552 | −0.637758 | − | 0.770237i | \(-0.720138\pi\) | ||||
−0.637758 | + | 0.770237i | \(0.720138\pi\) | |||||||
\(230\) | −4.52907e9 | − | 2.56856e10i | −0.106717 | − | 0.605223i | ||||
\(231\) | −1.71905e10 | + | 1.44245e10i | −0.397223 | + | 0.333309i | ||||
\(232\) | 2.47559e10 | − | 9.01042e9i | 0.561027 | − | 0.204197i | ||||
\(233\) | 6.43335e10 | + | 2.34155e10i | 1.43000 | + | 0.520477i | 0.936931 | − | 0.349514i | \(-0.113653\pi\) |
0.493067 | + | 0.869991i | \(0.335876\pi\) | |||||||
\(234\) | −8.33155e9 | − | 6.99100e9i | −0.181658 | − | 0.152429i | ||||
\(235\) | 1.53145e10 | − | 2.65255e10i | 0.327565 | − | 0.567360i | ||||
\(236\) | −3.53951e9 | − | 6.13061e9i | −0.0742744 | − | 0.128647i | ||||
\(237\) | −1.00101e10 | + | 5.67703e10i | −0.206097 | + | 1.16884i | ||||
\(238\) | 1.28384e10 | − | 7.28105e10i | 0.259368 | − | 1.47095i | ||||
\(239\) | −1.03855e10 | − | 1.79883e10i | −0.205892 | − | 0.356615i | 0.744525 | − | 0.667595i | \(-0.232676\pi\) |
−0.950416 | + | 0.310980i | \(0.899343\pi\) | |||||||
\(240\) | 1.14302e10 | − | 1.97977e10i | 0.222384 | − | 0.385180i | ||||
\(241\) | 4.21262e9 | + | 3.53481e9i | 0.0804406 | + | 0.0674977i | 0.682121 | − | 0.731239i | \(-0.261058\pi\) |
−0.601681 | + | 0.798737i | \(0.705502\pi\) | |||||||
\(242\) | 3.29045e10 | + | 1.19763e10i | 0.616717 | + | 0.224467i | ||||
\(243\) | −3.89282e10 | + | 1.41687e10i | −0.716203 | + | 0.260677i | ||||
\(244\) | 1.73312e10 | − | 1.45426e10i | 0.313022 | − | 0.262657i | ||||
\(245\) | 2.45246e10 | + | 1.39086e11i | 0.434866 | + | 2.46625i | ||||
\(246\) | −8.48801e10 | −1.47774 | ||||||||
\(247\) | 2.12669e10 | − | 4.38007e10i | 0.363554 | − | 0.748763i | ||||
\(248\) | −1.92030e10 | −0.322356 | ||||||||
\(249\) | −3.49850e9 | − | 1.98410e10i | −0.0576746 | − | 0.327089i | ||||
\(250\) | 1.28689e10 | − | 1.07983e10i | 0.208359 | − | 0.174834i | ||||
\(251\) | 1.20134e10 | − | 4.37252e9i | 0.191044 | − | 0.0695344i | −0.244726 | − | 0.969592i | \(-0.578698\pi\) |
0.435771 | + | 0.900058i | \(0.356476\pi\) | |||||||
\(252\) | −1.97924e10 | − | 7.20384e9i | −0.309169 | − | 0.112528i | ||||
\(253\) | −7.74334e9 | − | 6.49743e9i | −0.118819 | − | 0.0997010i | ||||
\(254\) | 2.88035e10 | − | 4.98892e10i | 0.434204 | − | 0.752064i | ||||
\(255\) | 7.76821e10 | + | 1.34549e11i | 1.15051 | + | 1.99274i | ||||
\(256\) | 7.45813e8 | − | 4.22972e9i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 1.02208e10 | − | 5.79648e10i | 0.146145 | − | 0.828829i | −0.820296 | − | 0.571939i | \(-0.806191\pi\) |
0.966441 | − | 0.256890i | \(-0.0826977\pi\) | |||||||
\(258\) | 1.22169e10 | + | 2.11602e10i | 0.171661 | + | 0.297325i | ||||
\(259\) | 8.27109e10 | − | 1.43259e11i | 1.14213 | − | 1.97822i | ||||
\(260\) | −3.52851e10 | − | 2.96077e10i | −0.478864 | − | 0.401814i | ||||
\(261\) | 4.79310e10 | + | 1.74455e10i | 0.639344 | + | 0.232702i | ||||
\(262\) | 3.73404e10 | − | 1.35908e10i | 0.489579 | − | 0.178192i | ||||
\(263\) | −3.66173e10 | + | 3.07255e10i | −0.471938 | + | 0.396003i | −0.847501 | − | 0.530794i | \(-0.821894\pi\) |
0.375563 | + | 0.926797i | \(0.377449\pi\) | |||||||
\(264\) | −1.53847e9 | − | 8.72510e9i | −0.0194927 | − | 0.110548i | ||||
\(265\) | 1.58075e11 | 1.96905 | ||||||||
\(266\) | 9.69011e9 | − | 9.37952e10i | 0.118676 | − | 1.14872i | ||||
\(267\) | 4.35445e10 | 0.524364 | ||||||||
\(268\) | 7.39208e9 | + | 4.19225e10i | 0.0875306 | + | 0.496411i | ||||
\(269\) | 8.56319e10 | − | 7.18537e10i | 0.997127 | − | 0.836689i | 0.0105430 | − | 0.999944i | \(-0.496644\pi\) |
0.986584 | + | 0.163256i | \(0.0521995\pi\) | |||||||
\(270\) | −6.16371e10 | + | 2.24341e10i | −0.705838 | + | 0.256904i | ||||
\(271\) | −2.62055e10 | − | 9.53803e9i | −0.295142 | − | 0.107423i | 0.190205 | − | 0.981744i | \(-0.439085\pi\) |
−0.485347 | + | 0.874321i | \(0.661307\pi\) | |||||||
\(272\) | 2.23605e10 | + | 1.87627e10i | 0.247697 | + | 0.207843i | ||||
\(273\) | −7.38856e10 | + | 1.27974e11i | −0.805059 | + | 1.39440i | ||||
\(274\) | −2.35980e10 | − | 4.08729e10i | −0.252928 | − | 0.438084i | ||||
\(275\) | 5.54524e9 | − | 3.14486e10i | 0.0584687 | − | 0.331592i | ||||
\(276\) | 5.73649e9 | − | 3.25332e10i | 0.0595052 | − | 0.337471i | ||||
\(277\) | −9.37534e10 | − | 1.62386e11i | −0.956815 | − | 1.65725i | −0.730159 | − | 0.683277i | \(-0.760554\pi\) |
−0.226655 | − | 0.973975i | \(-0.572779\pi\) | |||||||
\(278\) | −6.09146e10 | + | 1.05507e11i | −0.611674 | + | 1.05945i | ||||
\(279\) | −2.84813e10 | − | 2.38987e10i | −0.281411 | − | 0.236132i | ||||
\(280\) | −8.38232e10 | − | 3.05091e10i | −0.814991 | − | 0.296633i | ||||
\(281\) | −1.54978e11 | + | 5.64075e10i | −1.48283 | + | 0.539707i | −0.951552 | − | 0.307489i | \(-0.900511\pi\) |
−0.531281 | + | 0.847196i | \(0.678289\pi\) | |||||||
\(282\) | 2.97183e10 | − | 2.49366e10i | 0.279836 | − | 0.234810i | ||||
\(283\) | −2.51625e10 | − | 1.42704e11i | −0.233193 | − | 1.32250i | −0.846386 | − | 0.532570i | \(-0.821226\pi\) |
0.613193 | − | 0.789933i | \(-0.289885\pi\) | |||||||
\(284\) | 4.66359e10 | 0.425391 | ||||||||
\(285\) | 1.11095e11 | + | 1.64077e11i | 0.997458 | + | 1.47315i | ||||
\(286\) | −1.78514e10 | −0.157771 | ||||||||
\(287\) | 5.75137e10 | + | 3.26176e11i | 0.500383 | + | 2.83781i | ||||
\(288\) | 6.37017e9 | − | 5.34521e9i | 0.0545613 | − | 0.0457824i | ||||
\(289\) | −7.49787e10 | + | 2.72900e10i | −0.632263 | + | 0.230125i | ||||
\(290\) | 2.02994e11 | + | 7.38837e10i | 1.68536 | + | 0.613420i | ||||
\(291\) | −1.45238e11 | − | 1.21869e11i | −1.18731 | − | 0.996268i | ||||
\(292\) | −2.10954e10 | + | 3.65384e10i | −0.169811 | + | 0.294121i | ||||
\(293\) | 8.77003e9 | + | 1.51901e10i | 0.0695179 | + | 0.120409i | 0.898689 | − | 0.438586i | \(-0.144521\pi\) |
−0.829171 | + | 0.558995i | \(0.811187\pi\) | |||||||
\(294\) | −3.10627e10 | + | 1.76166e11i | −0.242480 | + | 1.37517i | ||||
\(295\) | 1.00797e10 | − | 5.71647e10i | 0.0774904 | − | 0.439470i | ||||
\(296\) | 3.26549e10 | + | 5.65599e10i | 0.247249 | + | 0.428248i | ||||
\(297\) | −1.27105e10 | + | 2.20152e10i | −0.0947889 | + | 0.164179i | ||||
\(298\) | −9.05079e10 | − | 7.59452e10i | −0.664834 | − | 0.557862i | ||||
\(299\) | −6.25484e10 | − | 2.27657e10i | −0.452580 | − | 0.164726i | ||||
\(300\) | 9.80703e10 | − | 3.56947e10i | 0.699023 | − | 0.254424i | ||||
\(301\) | 7.30362e10 | − | 6.12846e10i | 0.512848 | − | 0.430331i | ||||
\(302\) | 9.33423e9 | + | 5.29370e10i | 0.0645724 | + | 0.366208i | ||||
\(303\) | −1.54816e11 | −1.05517 | ||||||||
\(304\) | 3.01569e10 | + | 2.18287e10i | 0.202515 | + | 0.146587i | ||||
\(305\) | 1.85515e11 | 1.22752 | ||||||||
\(306\) | 9.81375e9 | + | 5.56565e10i | 0.0639865 | + | 0.362886i | ||||
\(307\) | 7.19938e10 | − | 6.04099e10i | 0.462564 | − | 0.388138i | −0.381509 | − | 0.924365i | \(-0.624596\pi\) |
0.844073 | + | 0.536227i | \(0.180151\pi\) | |||||||
\(308\) | −3.24862e10 | + | 1.18240e10i | −0.205694 | + | 0.0748664i | ||||
\(309\) | −2.78805e11 | − | 1.01477e11i | −1.73975 | − | 0.633219i | ||||
\(310\) | −1.20622e11 | − | 1.01214e11i | −0.741820 | − | 0.622461i | ||||
\(311\) | 1.17611e11 | − | 2.03708e11i | 0.712895 | − | 1.23477i | −0.250870 | − | 0.968021i | \(-0.580717\pi\) |
0.963766 | − | 0.266750i | \(-0.0859498\pi\) | |||||||
\(312\) | −2.91706e10 | − | 5.05249e10i | −0.174281 | − | 0.301863i | ||||
\(313\) | −3.68796e10 | + | 2.09155e11i | −0.217188 | + | 1.23174i | 0.659880 | + | 0.751371i | \(0.270607\pi\) |
−0.877068 | + | 0.480365i | \(0.840504\pi\) | |||||||
\(314\) | −2.87207e10 | + | 1.62883e11i | −0.166729 | + | 0.945567i | ||||
\(315\) | −8.63546e10 | − | 1.49571e11i | −0.494183 | − | 0.855951i | ||||
\(316\) | −4.44037e10 | + | 7.69095e10i | −0.250511 | + | 0.433898i | ||||
\(317\) | 2.65800e11 | + | 2.23033e11i | 1.47839 | + | 1.24051i | 0.907885 | + | 0.419219i | \(0.137696\pi\) |
0.570502 | + | 0.821296i | \(0.306748\pi\) | |||||||
\(318\) | 1.88142e11 | + | 6.84781e10i | 1.03172 | + | 0.375517i | ||||
\(319\) | 7.86716e10 | − | 2.86341e10i | 0.425363 | − | 0.154820i | ||||
\(320\) | 2.69785e10 | − | 2.26376e10i | 0.143828 | − | 0.120686i | ||||
\(321\) | −2.95184e10 | − | 1.67407e11i | −0.155174 | − | 0.880038i | ||||
\(322\) | −1.28905e11 | −0.668219 | ||||||||
\(323\) | −2.30954e11 | + | 1.03318e11i | −1.18063 | + | 0.528161i | ||||
\(324\) | −1.23040e11 | −0.620287 | ||||||||
\(325\) | −3.65154e10 | − | 2.07089e11i | −0.181552 | − | 1.02963i | ||||
\(326\) | 1.26798e11 | − | 1.06396e11i | 0.621773 | − | 0.521730i | ||||
\(327\) | −8.56725e10 | + | 3.11822e10i | −0.414359 | + | 0.150814i | ||||
\(328\) | −1.22877e11 | − | 4.47237e10i | −0.586191 | − | 0.213356i | ||||
\(329\) | −1.15963e11 | − | 9.73043e10i | −0.545679 | − | 0.457879i | ||||
\(330\) | 3.63239e10 | − | 6.29148e10i | 0.168609 | − | 0.292039i | ||||
\(331\) | −3.38799e10 | − | 5.86818e10i | −0.155137 | − | 0.268706i | 0.777972 | − | 0.628299i | \(-0.216249\pi\) |
−0.933109 | + | 0.359593i | \(0.882915\pi\) | |||||||
\(332\) | 5.38966e9 | − | 3.05663e10i | 0.0243467 | − | 0.138077i | ||||
\(333\) | −2.19576e10 | + | 1.24528e11i | −0.0978558 | + | 0.554968i | ||||
\(334\) | −4.21576e10 | − | 7.30191e10i | −0.185360 | − | 0.321053i | ||||
\(335\) | −1.74530e11 | + | 3.02294e11i | −0.757126 | + | 1.31138i | ||||
\(336\) | −8.65504e10 | − | 7.26244e10i | −0.370461 | − | 0.310854i | ||||
\(337\) | −1.76983e11 | − | 6.44167e10i | −0.747477 | − | 0.272059i | −0.0599333 | − | 0.998202i | \(-0.519089\pi\) |
−0.687544 | + | 0.726143i | \(0.741311\pi\) | |||||||
\(338\) | 4.89770e10 | − | 1.78262e10i | 0.204111 | − | 0.0742905i | ||||
\(339\) | −1.01802e11 | + | 8.54217e10i | −0.418655 | + | 0.351293i | ||||
\(340\) | 4.15624e10 | + | 2.35712e11i | 0.168673 | + | 0.956593i | ||||
\(341\) | −6.10250e10 | −0.244407 | ||||||||
\(342\) | 1.75615e10 | + | 6.99069e10i | 0.0694135 | + | 0.276314i | ||||
\(343\) | 2.79358e11 | 1.08978 | ||||||||
\(344\) | 6.53641e9 | + | 3.70698e10i | 0.0251667 | + | 0.142727i | ||||
\(345\) | 2.07507e11 | − | 1.74119e11i | 0.788583 | − | 0.661699i | ||||
\(346\) | 1.37468e11 | − | 5.00341e10i | 0.515654 | − | 0.187683i | ||||
\(347\) | −4.84941e11 | − | 1.76504e11i | −1.79558 | − | 0.653539i | −0.998784 | − | 0.0492968i | \(-0.984302\pi\) |
−0.796800 | − | 0.604243i | \(-0.793476\pi\) | |||||||
\(348\) | 2.09598e11 | + | 1.75874e11i | 0.766093 | + | 0.642828i | ||||
\(349\) | 9.33916e10 | − | 1.61759e11i | 0.336972 | − | 0.583652i | −0.646890 | − | 0.762584i | \(-0.723931\pi\) |
0.983862 | + | 0.178931i | \(0.0572640\pi\) | |||||||
\(350\) | −2.03618e11 | − | 3.52677e11i | −0.725287 | − | 1.25623i | ||||
\(351\) | −2.90682e10 | + | 1.64854e11i | −0.102220 | + | 0.579718i | ||||
\(352\) | 2.37011e9 | − | 1.34416e10i | 0.00822862 | − | 0.0466668i | ||||
\(353\) | −4.21288e10 | − | 7.29692e10i | −0.144408 | − | 0.250123i | 0.784744 | − | 0.619821i | \(-0.212795\pi\) |
−0.929152 | + | 0.369698i | \(0.879461\pi\) | |||||||
\(354\) | 3.67607e10 | − | 6.36714e10i | 0.124414 | − | 0.215491i | ||||
\(355\) | 2.92940e11 | + | 2.45806e11i | 0.978928 | + | 0.821418i | ||||
\(356\) | 6.30375e10 | + | 2.29438e10i | 0.208005 | + | 0.0757076i | ||||
\(357\) | 7.21553e11 | − | 2.62624e11i | 2.35105 | − | 0.855711i | ||||
\(358\) | 1.32889e11 | − | 1.11507e11i | 0.427578 | − | 0.358781i | ||||
\(359\) | 2.00300e10 | + | 1.13596e11i | 0.0636436 | + | 0.360941i | 0.999952 | + | 0.00976297i | \(0.00310770\pi\) |
−0.936309 | + | 0.351178i | \(0.885781\pi\) | |||||||
\(360\) | 6.81869e10 | 0.213963 | ||||||||
\(361\) | −2.84377e11 | + | 1.52502e11i | −0.881277 | + | 0.472601i | ||||
\(362\) | 1.89512e11 | 0.580027 | ||||||||
\(363\) | 6.31510e10 | + | 3.58147e11i | 0.190897 | + | 1.08263i | ||||
\(364\) | −1.74391e11 | + | 1.46331e11i | −0.520676 | + | 0.436899i | ||||
\(365\) | −3.25093e11 | + | 1.18324e11i | −0.958716 | + | 0.348944i | ||||
\(366\) | 2.20801e11 | + | 8.03650e10i | 0.643185 | + | 0.234100i | ||||
\(367\) | 2.80677e10 | + | 2.35516e10i | 0.0807625 | + | 0.0677678i | 0.682275 | − | 0.731095i | \(-0.260991\pi\) |
−0.601513 | + | 0.798863i | \(0.705435\pi\) | |||||||
\(368\) | 2.54463e10 | − | 4.40744e10i | 0.0723286 | − | 0.125277i | ||||
\(369\) | −1.26588e11 | − | 2.19257e11i | −0.355447 | − | 0.615652i | ||||
\(370\) | −9.29933e10 | + | 5.27391e11i | −0.257955 | + | 1.46293i | ||||
\(371\) | 1.35664e11 | − | 7.69389e11i | 0.371777 | − | 2.10845i | ||||
\(372\) | −9.97193e10 | − | 1.72719e11i | −0.269983 | − | 0.467624i | ||||
\(373\) | 5.75292e10 | − | 9.96434e10i | 0.153886 | − | 0.266538i | −0.778767 | − | 0.627313i | \(-0.784155\pi\) |
0.932653 | + | 0.360775i | \(0.117488\pi\) | |||||||
\(374\) | 7.10591e10 | + | 5.96257e10i | 0.187801 | + | 0.157584i | ||||
\(375\) | 1.63951e11 | + | 5.96734e10i | 0.428128 | + | 0.155826i | ||||
\(376\) | 5.61611e10 | − | 2.04410e10i | 0.144907 | − | 0.0527419i | ||||
\(377\) | 4.22320e11 | − | 3.54369e11i | 1.07673 | − | 0.903482i | ||||
\(378\) | 5.62935e10 | + | 3.19256e11i | 0.141822 | + | 0.804315i | ||||
\(379\) | 6.42866e11 | 1.60046 | 0.800228 | − | 0.599696i | \(-0.204712\pi\) | ||||
0.800228 | + | 0.599696i | \(0.204712\pi\) | |||||||
\(380\) | 7.43751e10 | + | 2.96064e11i | 0.182979 | + | 0.728383i | ||||
\(381\) | 5.98296e11 | 1.45463 | ||||||||
\(382\) | 4.77543e10 | + | 2.70828e11i | 0.114743 | + | 0.650741i | ||||
\(383\) | −2.46356e11 | + | 2.06717e11i | −0.585018 | + | 0.490888i | −0.886591 | − | 0.462555i | \(-0.846933\pi\) |
0.301573 | + | 0.953443i | \(0.402488\pi\) | |||||||
\(384\) | 4.19166e10 | − | 1.52564e10i | 0.0983774 | − | 0.0358065i | ||||
\(385\) | −2.66381e11 | − | 9.69547e10i | −0.617916 | − | 0.224903i | ||||
\(386\) | 7.11500e10 | + | 5.97020e10i | 0.163129 | + | 0.136882i | ||||
\(387\) | −3.64398e10 | + | 6.31157e10i | −0.0825804 | + | 0.143034i | ||||
\(388\) | −1.46042e11 | − | 2.52952e11i | −0.327140 | − | 0.566624i | ||||
\(389\) | −1.19795e9 | + | 6.79393e9i | −0.00265257 | + | 0.0150435i | −0.986105 | − | 0.166121i | \(-0.946876\pi\) |
0.983453 | + | 0.181165i | \(0.0579868\pi\) | |||||||
\(390\) | 8.30708e10 | − | 4.71118e11i | 0.181827 | − | 1.03119i | ||||
\(391\) | 1.72939e11 | + | 2.99539e11i | 0.374195 | + | 0.648124i | ||||
\(392\) | −1.37790e11 | + | 2.38660e11i | −0.294735 | + | 0.510496i | ||||
\(393\) | 3.16145e11 | + | 2.65278e11i | 0.668529 | + | 0.560963i | ||||
\(394\) | −5.72514e11 | − | 2.08378e11i | −1.19689 | − | 0.435631i | ||||
\(395\) | −6.84287e11 | + | 2.49060e11i | −1.41433 | + | 0.514775i | ||||
\(396\) | 2.02437e10 | − | 1.69865e10i | 0.0413677 | − | 0.0347116i | ||||
\(397\) | 7.54531e10 | + | 4.27916e11i | 0.152447 | + | 0.864571i | 0.961083 | + | 0.276261i | \(0.0890955\pi\) |
−0.808635 | + | 0.588310i | \(0.799793\pi\) | |||||||
\(398\) | −1.05783e11 | −0.211320 | ||||||||
\(399\) | 8.93949e11 | − | 3.99913e11i | 1.76577 | − | 0.789928i | ||||
\(400\) | 1.60780e11 | 0.314023 | ||||||||
\(401\) | 3.04873e10 | + | 1.72902e11i | 0.0588802 | + | 0.333926i | 0.999991 | − | 0.00417136i | \(-0.00132779\pi\) |
−0.941111 | + | 0.338097i | \(0.890217\pi\) | |||||||
\(402\) | −3.38681e11 | + | 2.84187e11i | −0.646805 | + | 0.542734i | ||||
\(403\) | −3.77615e11 | + | 1.37441e11i | −0.713143 | + | 0.259563i | ||||
\(404\) | −2.24120e11 | − | 8.15731e10i | −0.418567 | − | 0.152346i | ||||
\(405\) | −7.72863e11 | − | 6.48509e11i | −1.42743 | − | 1.19776i | ||||
\(406\) | 5.33825e11 | − | 9.24611e11i | 0.975060 | − | 1.68885i | ||||
\(407\) | 1.03774e11 | + | 1.79741e11i | 0.187461 | + | 0.324693i | ||||
\(408\) | −5.26427e10 | + | 2.98551e11i | −0.0940518 | + | 0.533394i | ||||
\(409\) | −2.44406e10 | + | 1.38610e11i | −0.0431875 | + | 0.244928i | −0.998757 | − | 0.0498362i | \(-0.984130\pi\) |
0.955570 | + | 0.294764i | \(0.0952412\pi\) | |||||||
\(410\) | −5.36117e11 | − | 9.28581e11i | −0.936983 | − | 1.62290i | ||||
\(411\) | 2.45084e11 | − | 4.24498e11i | 0.423669 | − | 0.733816i | ||||
\(412\) | −3.50146e11 | − | 2.93807e11i | −0.598703 | − | 0.502372i | ||||
\(413\) | −2.69584e11 | − | 9.81206e10i | −0.455952 | − | 0.165953i | ||||
\(414\) | 9.25931e10 | − | 3.37011e10i | 0.154909 | − | 0.0563823i | ||||
\(415\) | 1.94961e11 | − | 1.63592e11i | 0.322650 | − | 0.270736i | ||||
\(416\) | −1.56072e10 | − | 8.85128e10i | −0.0255508 | − | 0.144906i | ||||
\(417\) | −1.26529e12 | −2.04918 | ||||||||
\(418\) | 9.58354e10 | + | 6.93691e10i | 0.153544 | + | 0.111141i | ||||
\(419\) | 3.94519e11 | 0.625324 | 0.312662 | − | 0.949864i | \(-0.398779\pi\) | ||||
0.312662 | + | 0.949864i | \(0.398779\pi\) | |||||||
\(420\) | −1.60875e11 | − | 9.12368e11i | −0.252271 | − | 1.43070i | ||||
\(421\) | −4.55986e11 | + | 3.82618e11i | −0.707428 | + | 0.593602i | −0.923876 | − | 0.382692i | \(-0.874997\pi\) |
0.216448 | + | 0.976294i | \(0.430553\pi\) | |||||||
\(422\) | 5.49251e11 | − | 1.99911e11i | 0.843072 | − | 0.306853i | ||||
\(423\) | 1.08736e11 | + | 3.95766e10i | 0.165136 | + | 0.0601045i | ||||
\(424\) | 2.36284e11 | + | 1.98266e11i | 0.355048 | + | 0.297921i | ||||
\(425\) | −5.46347e11 | + | 9.46301e11i | −0.812304 | + | 1.40695i | ||||
\(426\) | 2.42176e11 | + | 4.19461e11i | 0.356277 | + | 0.617090i | ||||
\(427\) | 1.59214e11 | − | 9.02945e11i | 0.231769 | − | 1.31443i | ||||
\(428\) | 4.54750e10 | − | 2.57901e11i | 0.0655051 | − | 0.371498i | ||||
\(429\) | −9.27008e10 | − | 1.60562e11i | −0.132137 | − | 0.228869i | ||||
\(430\) | −1.54327e11 | + | 2.67303e11i | −0.217688 | + | 0.377047i | ||||
\(431\) | −2.64747e11 | − | 2.22149e11i | −0.369558 | − | 0.310096i | 0.439028 | − | 0.898473i | \(-0.355323\pi\) |
−0.808587 | + | 0.588377i | \(0.799767\pi\) | |||||||
\(432\) | −1.20270e11 | − | 4.37748e10i | −0.166143 | − | 0.0604710i | ||||
\(433\) | 1.18430e11 | − | 4.31050e10i | 0.161907 | − | 0.0589295i | −0.259795 | − | 0.965664i | \(-0.583655\pi\) |
0.421702 | + | 0.906734i | \(0.361433\pi\) | |||||||
\(434\) | −5.96153e11 | + | 5.00232e11i | −0.806592 | + | 0.676811i | ||||
\(435\) | 3.89590e11 | + | 2.20947e12i | 0.521682 | + | 2.95861i | ||||
\(436\) | −1.40454e11 | −0.186143 | ||||||||
\(437\) | 2.47325e11 | + | 3.65275e11i | 0.324416 | + | 0.479131i | ||||
\(438\) | −4.38186e11 | −0.568886 | ||||||||
\(439\) | 8.18788e10 | + | 4.64357e11i | 0.105216 | + | 0.596708i | 0.991134 | + | 0.132867i | \(0.0424182\pi\) |
−0.885918 | + | 0.463842i | \(0.846471\pi\) | |||||||
\(440\) | 8.57346e10 | − | 7.19398e10i | 0.109048 | − | 0.0915024i | ||||
\(441\) | −5.01386e11 | + | 1.82490e11i | −0.631246 | + | 0.229755i | ||||
\(442\) | 5.73994e11 | + | 2.08917e11i | 0.715332 | + | 0.260359i | ||||
\(443\) | 1.02682e12 | + | 8.61605e11i | 1.26671 | + | 1.06290i | 0.994933 | + | 0.100537i | \(0.0320561\pi\) |
0.271778 | + | 0.962360i | \(0.412388\pi\) | |||||||
\(444\) | −3.39147e11 | + | 5.87420e11i | −0.414157 | + | 0.717340i | ||||
\(445\) | 2.75034e11 | + | 4.76373e11i | 0.332481 | + | 0.575873i | ||||
\(446\) | 1.14863e11 | − | 6.51423e11i | 0.137460 | − | 0.779572i | ||||
\(447\) | 2.13080e11 | − | 1.20844e12i | 0.252441 | − | 1.43166i | ||||
\(448\) | −8.70292e10 | − | 1.50739e11i | −0.102074 | − | 0.176797i | ||||
\(449\) | 1.14153e11 | − | 1.97719e11i | 0.132550 | − | 0.229583i | −0.792109 | − | 0.610380i | \(-0.791017\pi\) |
0.924659 | + | 0.380797i | \(0.124350\pi\) | |||||||
\(450\) | 2.38464e11 | + | 2.00095e11i | 0.274136 | + | 0.230028i | ||||
\(451\) | −3.90490e11 | − | 1.42127e11i | −0.444443 | − | 0.161764i | ||||
\(452\) | −1.92383e11 | + | 7.00216e10i | −0.216792 | + | 0.0789059i | ||||
\(453\) | −4.27664e11 | + | 3.58852e11i | −0.477156 | + | 0.400381i | ||||
\(454\) | −2.64435e10 | − | 1.49968e11i | −0.0292124 | − | 0.165672i | ||||
\(455\) | −1.86669e12 | −2.04184 | ||||||||
\(456\) | −3.97332e10 | + | 3.84597e11i | −0.0430340 | + | 0.416547i | ||||
\(457\) | −2.52427e11 | −0.270715 | −0.135358 | − | 0.990797i | \(-0.543218\pi\) | ||||
−0.135358 | + | 0.990797i | \(0.543218\pi\) | |||||||
\(458\) | −1.47481e11 | − | 8.36405e11i | −0.156618 | − | 0.888223i | ||||
\(459\) | 6.66337e11 | − | 5.59123e11i | 0.700708 | − | 0.587964i | ||||
\(460\) | 3.92143e11 | − | 1.42728e11i | 0.408352 | − | 0.148628i | ||||
\(461\) | −1.35625e12 | − | 4.93633e11i | −1.39857 | − | 0.509038i | −0.470816 | − | 0.882231i | \(-0.656041\pi\) |
−0.927754 | + | 0.373193i | \(0.878263\pi\) | |||||||
\(462\) | −2.75048e11 | − | 2.30792e11i | −0.280879 | − | 0.235685i | ||||
\(463\) | 5.49683e11 | − | 9.52080e11i | 0.555902 | − | 0.962850i | −0.441931 | − | 0.897049i | \(-0.645706\pi\) |
0.997833 | − | 0.0658013i | \(-0.0209603\pi\) | |||||||
\(464\) | 2.10758e11 | + | 3.65043e11i | 0.211083 | + | 0.365606i | ||||
\(465\) | 2.83977e11 | − | 1.61051e12i | 0.281673 | − | 1.59744i | ||||
\(466\) | −1.90214e11 | + | 1.07875e12i | −0.186855 | + | 1.05971i | ||||
\(467\) | 8.46089e11 | + | 1.46547e12i | 0.823171 | + | 1.42577i | 0.903309 | + | 0.428991i | \(0.141131\pi\) |
−0.0801373 | + | 0.996784i | \(0.525536\pi\) | |||||||
\(468\) | 8.70085e10 | − | 1.50703e11i | 0.0838408 | − | 0.145217i | ||||
\(469\) | 1.32155e12 | + | 1.10892e12i | 1.26127 | + | 1.05833i | ||||
\(470\) | 4.60510e11 | + | 1.67612e11i | 0.435310 | + | 0.158440i | ||||
\(471\) | −1.61417e12 | + | 5.87511e11i | −1.51132 | + | 0.550075i | ||||
\(472\) | 8.67656e10 | − | 7.28049e10i | 0.0804652 | − | 0.0675184i | ||||
\(473\) | 2.07720e10 | + | 1.17804e11i | 0.0190811 | + | 0.108214i | ||||
\(474\) | −9.22337e11 | −0.839241 | ||||||||
\(475\) | −6.08698e11 | + | 1.25365e12i | −0.548631 | + | 1.12994i | ||||
\(476\) | 1.18294e12 | 1.05616 | ||||||||
\(477\) | 1.03702e11 | + | 5.88124e11i | 0.0917180 | + | 0.520159i | ||||
\(478\) | 2.54585e11 | − | 2.13622e11i | 0.223053 | − | 0.187163i | ||||
\(479\) | 5.60841e11 | − | 2.04130e11i | 0.486777 | − | 0.177172i | −0.0869602 | − | 0.996212i | \(-0.527715\pi\) |
0.573737 | + | 0.819039i | \(0.305493\pi\) | |||||||
\(480\) | 3.43708e11 | + | 1.25099e11i | 0.295532 | + | 0.107565i | ||||
\(481\) | 1.04695e12 | + | 8.78496e11i | 0.891812 | + | 0.748319i | ||||
\(482\) | −4.39935e10 | + | 7.61989e10i | −0.0371258 | + | 0.0643039i | ||||
\(483\) | −6.69392e11 | − | 1.15942e12i | −0.559653 | − | 0.969347i | ||||
\(484\) | −9.72881e10 | + | 5.51748e11i | −0.0805853 | + | 0.457022i | ||||
\(485\) | 4.15892e11 | − | 2.35864e12i | 0.341305 | − | 1.93564i | ||||
\(486\) | −3.31412e11 | − | 5.74023e11i | −0.269467 | − | 0.466731i | ||||
\(487\) | 1.04499e12 | − | 1.80997e12i | 0.841841 | − | 1.45811i | −0.0464948 | − | 0.998919i | \(-0.514805\pi\) |
0.888336 | − | 0.459194i | \(-0.151862\pi\) | |||||||
\(488\) | 2.77299e11 | + | 2.32682e11i | 0.221340 | + | 0.185726i | ||||
\(489\) | 1.61541e12 | + | 5.87962e11i | 1.27760 | + | 0.465007i | ||||
\(490\) | −2.12343e12 | + | 7.72866e11i | −1.66401 | + | 0.605650i | ||||
\(491\) | 2.26259e11 | − | 1.89853e11i | 0.175686 | − | 0.147418i | −0.550704 | − | 0.834700i | \(-0.685641\pi\) |
0.726391 | + | 0.687282i | \(0.241196\pi\) | |||||||
\(492\) | −2.35829e11 | − | 1.33745e12i | −0.181449 | − | 1.02905i | ||||
\(493\) | −2.86471e12 | −2.18409 | ||||||||
\(494\) | 7.49251e11 | + | 2.13407e11i | 0.566052 | + | 0.161227i | ||||
\(495\) | 2.16690e11 | 0.162224 | ||||||||
\(496\) | −5.33530e10 | − | 3.02580e11i | −0.0395814 | − | 0.224478i | ||||
\(497\) | 1.44780e12 | − | 1.21485e12i | 1.06440 | − | 0.893140i | ||||
\(498\) | 3.02913e11 | − | 1.10251e11i | 0.220691 | − | 0.0803251i | ||||
\(499\) | −5.38991e11 | − | 1.96177e11i | −0.389161 | − | 0.141643i | 0.140027 | − | 0.990148i | \(-0.455281\pi\) |
−0.529188 | + | 0.848505i | \(0.677503\pi\) | |||||||
\(500\) | 2.05903e11 | + | 1.72773e11i | 0.147332 | + | 0.123626i | ||||
\(501\) | 4.37840e11 | − | 7.58362e11i | 0.310489 | − | 0.537783i | ||||
\(502\) | 1.02275e11 | + | 1.77146e11i | 0.0718792 | + | 0.124498i | ||||
\(503\) | −2.76834e11 | + | 1.57000e12i | −0.192825 | + | 1.09356i | 0.722658 | + | 0.691206i | \(0.242920\pi\) |
−0.915483 | + | 0.402358i | \(0.868191\pi\) | |||||||
\(504\) | 5.85198e10 | − | 3.31882e11i | 0.0403985 | − | 0.229111i | ||||
\(505\) | −9.77842e11 | − | 1.69367e12i | −0.669048 | − | 1.15883i | ||||
\(506\) | 8.08657e10 | − | 1.40063e11i | 0.0548387 | − | 0.0949834i | ||||
\(507\) | 4.14668e11 | + | 3.47948e11i | 0.278718 | + | 0.233872i | ||||
\(508\) | 8.66127e11 | + | 3.15244e11i | 0.577025 | + | 0.210020i | ||||
\(509\) | 2.05514e11 | − | 7.48011e10i | 0.135710 | − | 0.0493944i | −0.273272 | − | 0.961937i | \(-0.588106\pi\) |
0.408982 | + | 0.912542i | \(0.365884\pi\) | |||||||
\(510\) | −1.90425e12 | + | 1.59786e12i | −1.24640 | + | 1.04586i | ||||
\(511\) | 2.96909e11 | + | 1.68386e12i | 0.192633 | + | 1.09247i | ||||
\(512\) | 6.87195e10 | 0.0441942 | ||||||||
\(513\) | 7.96660e11 | − | 7.72061e11i | 0.507861 | − | 0.492179i | ||||
\(514\) | 9.41743e11 | 0.595112 | ||||||||
\(515\) | −6.50832e11 | − | 3.69105e12i | −0.407696 | − | 2.31216i | ||||
\(516\) | −2.99477e11 | + | 2.51291e11i | −0.185969 | + | 0.156046i | ||||
\(517\) | 1.78474e11 | − | 6.49591e10i | 0.109867 | − | 0.0399883i | ||||
\(518\) | 2.48713e12 | + | 9.05242e11i | 1.51780 | + | 0.552434i | ||||
\(519\) | 1.16388e12 | + | 9.76613e11i | 0.704135 | + | 0.590839i | ||||
\(520\) | 3.68492e11 | − | 6.38247e11i | 0.221010 | − | 0.382801i | ||||
\(521\) | −7.11248e11 | − | 1.23192e12i | −0.422913 | − | 0.732507i | 0.573310 | − | 0.819339i | \(-0.305659\pi\) |
−0.996223 | + | 0.0868316i | \(0.972326\pi\) | |||||||
\(522\) | −1.41717e11 | + | 8.03716e11i | −0.0835418 | + | 0.473789i | ||||
\(523\) | −2.61659e11 | + | 1.48394e12i | −0.152925 | + | 0.867280i | 0.807734 | + | 0.589548i | \(0.200694\pi\) |
−0.960658 | + | 0.277732i | \(0.910417\pi\) | |||||||
\(524\) | 3.17894e11 | + | 5.50609e11i | 0.184201 | + | 0.319045i | ||||
\(525\) | 2.11474e12 | − | 3.66283e12i | 1.21490 | − | 2.10426i | ||||
\(526\) | −5.85876e11 | − | 4.91609e11i | −0.333711 | − | 0.280016i | ||||
\(527\) | 1.96220e12 | + | 7.14181e11i | 1.10814 | + | 0.403330i | ||||
\(528\) | 1.33206e11 | − | 4.84831e10i | 0.0745885 | − | 0.0271480i | ||||
\(529\) | −9.17802e11 | + | 7.70128e11i | −0.509564 | + | 0.427575i | ||||
\(530\) | 4.39191e11 | + | 2.49078e12i | 0.241775 | + | 1.37118i | ||||
\(531\) | 2.19296e11 | 0.119703 | ||||||||
\(532\) | 1.50485e12 | − | 1.07912e11i | 0.814498 | − | 0.0584071i | ||||
\(533\) | −2.73641e12 | −1.46862 | ||||||||
\(534\) | 1.20983e11 | + | 6.86127e11i | 0.0643855 | + | 0.365148i | ||||
\(535\) | 1.64498e12 | − | 1.38030e12i | 0.868095 | − | 0.728419i | ||||
\(536\) | −6.40032e11 | + | 2.32953e11i | −0.334935 | + | 0.121906i | ||||
\(537\) | 1.69302e12 | + | 6.16208e11i | 0.878572 | + | 0.319774i | ||||
\(538\) | 1.37011e12 | + | 1.14966e12i | 0.705075 | + | 0.591628i | ||||
\(539\) | −4.37883e11 | + | 7.58435e11i | −0.223464 | + | 0.387052i | ||||
\(540\) | −5.24742e11 | − | 9.08880e11i | −0.265567 | − | 0.459976i | ||||
\(541\) | −1.75961e11 | + | 9.97924e11i | −0.0883138 | + | 0.500852i | 0.908278 | + | 0.418366i | \(0.137397\pi\) |
−0.996592 | + | 0.0824861i | \(0.973714\pi\) | |||||||
\(542\) | 7.74814e10 | − | 4.39419e11i | 0.0385656 | − | 0.218717i | ||||
\(543\) | 9.84118e11 | + | 1.70454e12i | 0.485789 | + | 0.841412i | ||||
\(544\) | −2.33516e11 | + | 4.04462e11i | −0.114320 | + | 0.198008i | ||||
\(545\) | −8.82252e11 | − | 7.40297e11i | −0.428360 | − | 0.359436i | ||||
\(546\) | −2.22175e12 | − | 8.08652e11i | −1.06986 | − | 0.389399i | ||||
\(547\) | 2.37618e12 | − | 8.64860e11i | 1.13485 | − | 0.413050i | 0.294797 | − | 0.955560i | \(-0.404748\pi\) |
0.840050 | + | 0.542510i | \(0.182526\pi\) | |||||||
\(548\) | 5.78467e11 | − | 4.85391e11i | 0.274010 | − | 0.229921i | ||||
\(549\) | 1.21703e11 | + | 6.90214e11i | 0.0571777 | + | 0.324271i | ||||
\(550\) | 5.10940e11 | 0.238088 | ||||||||
\(551\) | −3.64427e12 | + | 2.61329e11i | −1.68434 | + | 0.120783i | ||||
\(552\) | 5.28562e11 | 0.242309 | ||||||||
\(553\) | 6.24963e11 | + | 3.54434e12i | 0.284179 | + | 1.61166i | ||||
\(554\) | 2.29822e12 | − | 1.92843e12i | 1.03657 | − | 0.869782i | ||||
\(555\) | −5.22646e12 | + | 1.90227e12i | −2.33824 | + | 0.851049i | ||||
\(556\) | −1.83171e12 | − | 6.66689e11i | −0.812869 | − | 0.295860i | ||||
\(557\) | −3.10444e12 | − | 2.60493e12i | −1.36658 | − | 1.14670i | −0.973889 | − | 0.227024i | \(-0.927100\pi\) |
−0.392689 | − | 0.919671i | \(-0.628455\pi\) | |||||||
\(558\) | 2.97438e11 | − | 5.15178e11i | 0.129880 | − | 0.224959i | ||||
\(559\) | 3.93853e11 | + | 6.82173e11i | 0.170601 | + | 0.295489i | ||||
\(560\) | 2.47838e11 | − | 1.40556e12i | 0.106493 | − | 0.603954i | ||||
\(561\) | −1.67293e11 | + | 9.48763e11i | −0.0713089 | + | 0.404413i | ||||
\(562\) | −1.31939e12 | − | 2.28526e12i | −0.557906 | − | 0.966322i | ||||
\(563\) | 1.93338e12 | − | 3.34871e12i | 0.811016 | − | 1.40472i | −0.101138 | − | 0.994872i | \(-0.532248\pi\) |
0.912154 | − | 0.409848i | \(-0.134418\pi\) | |||||||
\(564\) | 4.75493e11 | + | 3.98986e11i | 0.197874 | + | 0.166036i | ||||
\(565\) | −1.57750e12 | − | 5.74164e11i | −0.651256 | − | 0.237038i | ||||
\(566\) | 2.17866e12 | − | 7.92968e11i | 0.892311 | − | 0.324775i | ||||
\(567\) | −3.81974e12 | + | 3.20514e12i | −1.55207 | + | 1.30234i | ||||
\(568\) | 1.29572e11 | + | 7.34839e11i | 0.0522328 | + | 0.296227i | ||||
\(569\) | −2.09633e12 | −0.838408 | −0.419204 | − | 0.907892i | \(-0.637691\pi\) | ||||
−0.419204 | + | 0.907892i | \(0.637691\pi\) | |||||||
\(570\) | −2.27669e12 | + | 2.20639e12i | −0.903373 | + | 0.875479i | ||||
\(571\) | −6.97411e11 | −0.274553 | −0.137277 | − | 0.990533i | \(-0.543835\pi\) | ||||
−0.137277 | + | 0.990533i | \(0.543835\pi\) | |||||||
\(572\) | −4.95979e10 | − | 2.81284e11i | −0.0193723 | − | 0.109866i | ||||
\(573\) | −2.18794e12 | + | 1.83590e12i | −0.847892 | + | 0.711466i | ||||
\(574\) | −4.97974e12 | + | 1.81248e12i | −1.91471 | + | 0.696898i | ||||
\(575\) | 1.79025e12 | + | 6.51596e11i | 0.682979 | + | 0.248584i | ||||
\(576\) | 1.01923e11 | + | 8.55234e10i | 0.0385807 | + | 0.0323730i | ||||
\(577\) | 4.51099e11 | − | 7.81327e11i | 0.169426 | − | 0.293455i | −0.768792 | − | 0.639499i | \(-0.779142\pi\) |
0.938218 | + | 0.346044i | \(0.112475\pi\) | |||||||
\(578\) | −6.38325e11 | − | 1.10561e12i | −0.237885 | − | 0.412029i | ||||
\(579\) | −1.67506e11 | + | 9.49976e11i | −0.0619410 | + | 0.351285i | ||||
\(580\) | −6.00188e11 | + | 3.40383e12i | −0.220222 | + | 1.24894i | ||||
\(581\) | −6.28921e11 | − | 1.08932e12i | −0.228983 | − | 0.396611i | ||||
\(582\) | 1.51676e12 | − | 2.62711e12i | 0.547979 | − | 0.949127i | ||||
\(583\) | 7.50883e11 | + | 6.30066e11i | 0.269193 | + | 0.225880i | ||||
\(584\) | −6.34343e11 | − | 2.30882e11i | −0.225666 | − | 0.0821358i | ||||
\(585\) | 1.34085e12 | − | 4.88030e11i | 0.473347 | − | 0.172284i | ||||
\(586\) | −2.14983e11 | + | 1.80392e11i | −0.0753123 | + | 0.0631945i | ||||
\(587\) | 2.56518e11 | + | 1.45479e12i | 0.0891758 | + | 0.505741i | 0.996377 | + | 0.0850443i | \(0.0271032\pi\) |
−0.907201 | + | 0.420697i | \(0.861786\pi\) | |||||||
\(588\) | −2.86213e12 | −0.987396 | ||||||||
\(589\) | 2.56131e12 | + | 7.29530e11i | 0.876886 | + | 0.249761i | ||||
\(590\) | 9.28746e11 | 0.315546 | ||||||||
\(591\) | −1.09878e12 | − | 6.23150e12i | −0.370482 | − | 2.10111i | ||||
\(592\) | −8.00482e11 | + | 6.71684e11i | −0.267858 | + | 0.224759i | ||||
\(593\) | −1.89235e12 | + | 6.88758e11i | −0.628427 | + | 0.228729i | −0.636546 | − | 0.771238i | \(-0.719638\pi\) |
0.00811967 | + | 0.999967i | \(0.497415\pi\) | |||||||
\(594\) | −3.82206e11 | − | 1.39112e11i | −0.125967 | − | 0.0458484i | ||||
\(595\) | 7.43053e12 | + | 6.23495e12i | 2.43049 | + | 2.03942i | ||||
\(596\) | 9.45197e11 | − | 1.63713e12i | 0.306842 | − | 0.531465i | ||||
\(597\) | −5.49319e11 | − | 9.51449e11i | −0.176987 | − | 0.306550i | ||||
\(598\) | 1.84935e11 | − | 1.04882e12i | 0.0591378 | − | 0.335387i | ||||
\(599\) | −5.04576e11 | + | 2.86159e12i | −0.160142 | + | 0.908211i | 0.793791 | + | 0.608191i | \(0.208105\pi\) |
−0.953933 | + | 0.300020i | \(0.903007\pi\) | |||||||
\(600\) | 8.34914e11 | + | 1.44611e12i | 0.263003 | + | 0.455535i | ||||
\(601\) | 7.17139e11 | − | 1.24212e12i | 0.224217 | − | 0.388355i | −0.731867 | − | 0.681447i | \(-0.761351\pi\) |
0.956084 | + | 0.293092i | \(0.0946843\pi\) | |||||||
\(602\) | 1.16858e12 | + | 9.80554e11i | 0.362638 | + | 0.304290i | ||||
\(603\) | −1.23919e12 | − | 4.51030e11i | −0.381691 | − | 0.138924i | ||||
\(604\) | −8.08191e11 | + | 2.94157e11i | −0.247086 | + | 0.0899319i | ||||
\(605\) | −3.51922e12 | + | 2.95298e12i | −1.06794 | + | 0.896110i | ||||
\(606\) | −4.30136e11 | − | 2.43942e12i | −0.129562 | − | 0.734785i | ||||
\(607\) | −2.08747e12 | −0.624125 | −0.312062 | − | 0.950062i | \(-0.601020\pi\) | ||||
−0.312062 | + | 0.950062i | \(0.601020\pi\) | |||||||
\(608\) | −2.60166e11 | + | 5.35829e11i | −0.0772119 | + | 0.159023i | ||||
\(609\) | 1.10884e13 | 3.26656 | ||||||||
\(610\) | 5.15429e11 | + | 2.92314e12i | 0.150725 | + | 0.854802i | ||||
\(611\) | 9.58072e11 | − | 8.03918e11i | 0.278108 | − | 0.233360i | ||||
\(612\) | −8.49709e11 | + | 3.09269e11i | −0.244844 | + | 0.0891158i | ||||
\(613\) | −3.41904e12 | − | 1.24443e12i | −0.977984 | − | 0.355957i | −0.196928 | − | 0.980418i | \(-0.563096\pi\) |
−0.781056 | + | 0.624461i | \(0.785319\pi\) | |||||||
\(614\) | 1.15190e12 | + | 9.66559e11i | 0.327082 | + | 0.274455i | ||||
\(615\) | 5.56800e12 | − | 9.64407e12i | 1.56950 | − | 2.71845i | ||||
\(616\) | −2.76569e11 | − | 4.79032e11i | −0.0773910 | − | 0.134045i | ||||
\(617\) | −6.68775e11 | + | 3.79281e12i | −0.185779 | + | 1.05361i | 0.739171 | + | 0.673517i | \(0.235217\pi\) |
−0.924950 | + | 0.380088i | \(0.875894\pi\) | |||||||
\(618\) | 8.24339e11 | − | 4.67506e12i | 0.227330 | − | 1.28925i | ||||
\(619\) | −2.75491e12 | − | 4.77164e12i | −0.754222 | − | 1.30635i | −0.945760 | − | 0.324866i | \(-0.894681\pi\) |
0.191538 | − | 0.981485i | \(-0.438652\pi\) | |||||||
\(620\) | 1.25969e12 | − | 2.18184e12i | 0.342373 | − | 0.593008i | ||||
\(621\) | −1.16178e12 | − | 9.74845e11i | −0.313480 | − | 0.263041i | ||||
\(622\) | 3.53658e12 | + | 1.28721e12i | 0.947385 | + | 0.344820i | ||||
\(623\) | 2.55466e12 | − | 9.29822e11i | 0.679419 | − | 0.247288i | ||||
\(624\) | 7.15070e11 | − | 6.00015e11i | 0.188807 | − | 0.158428i | ||||
\(625\) | −4.49333e11 | − | 2.54830e12i | −0.117790 | − | 0.668020i | ||||
\(626\) | −3.39810e12 | −0.884405 | ||||||||
\(627\) | −1.26268e11 | + | 1.22221e12i | −0.0326279 | + | 0.315821i | ||||
\(628\) | −2.64633e12 | −0.678931 | ||||||||
\(629\) | −1.23321e12 | − | 6.99386e12i | −0.314129 | − | 1.78151i | ||||
\(630\) | 2.11685e12 | − | 1.77625e12i | 0.535374 | − | 0.449232i | ||||
\(631\) | −5.71708e12 | + | 2.08085e12i | −1.43563 | + | 0.522527i | −0.938539 | − | 0.345172i | \(-0.887821\pi\) |
−0.497091 | + | 0.867699i | \(0.665598\pi\) | |||||||
\(632\) | −1.33523e12 | − | 4.85983e11i | −0.332911 | − | 0.121170i | ||||
\(633\) | 4.65028e12 | + | 3.90205e12i | 1.15123 | + | 0.965998i | ||||
\(634\) | −2.77582e12 | + | 4.80786e12i | −0.682322 | + | 1.18182i | ||||
\(635\) | 3.77893e12 | + | 6.54530e12i | 0.922332 | + | 1.59753i | ||||
\(636\) | −5.56276e11 | + | 3.15480e12i | −0.134813 | + | 0.764565i | ||||
\(637\) | −1.00141e12 | + | 5.67930e12i | −0.240983 | + | 1.36668i | ||||
\(638\) | 6.69765e11 | + | 1.16007e12i | 0.160040 | + | 0.277198i | ||||
\(639\) | −7.22351e11 | + | 1.25115e12i | −0.171393 | + | 0.296862i | ||||
\(640\) | 4.31655e11 | + | 3.62202e11i | 0.101701 | + | 0.0853377i | ||||
\(641\) | −2.18484e12 | − | 7.95216e11i | −0.511161 | − | 0.186047i | 0.0735460 | − | 0.997292i | \(-0.476568\pi\) |
−0.584707 | + | 0.811244i | \(0.698791\pi\) | |||||||
\(642\) | 2.55581e12 | − | 9.30238e11i | 0.593773 | − | 0.216116i | ||||
\(643\) | 5.67820e12 | − | 4.76457e12i | 1.30997 | − | 1.09919i | 0.321640 | − | 0.946862i | \(-0.395766\pi\) |
0.988329 | − | 0.152333i | \(-0.0486786\pi\) | |||||||
\(644\) | −3.58146e11 | − | 2.03115e12i | −0.0820492 | − | 0.465324i | ||||
\(645\) | −3.20563e12 | −0.729280 | ||||||||
\(646\) | −2.26966e12 | − | 3.35206e12i | −0.512759 | − | 0.757296i | ||||
\(647\) | −2.38608e12 | −0.535323 | −0.267662 | − | 0.963513i | \(-0.586251\pi\) | ||||
−0.267662 | + | 0.963513i | \(0.586251\pi\) | |||||||
\(648\) | −3.41850e11 | − | 1.93873e12i | −0.0761636 | − | 0.431945i | ||||
\(649\) | 2.75731e11 | − | 2.31366e11i | 0.0610077 | − | 0.0511916i | ||||
\(650\) | 3.16163e12 | − | 1.15074e12i | 0.694707 | − | 0.252853i | ||||
\(651\) | −7.59504e12 | − | 2.76437e12i | −1.65736 | − | 0.603228i | ||||
\(652\) | 2.02876e12 | + | 1.70233e12i | 0.439660 | + | 0.368919i | ||||
\(653\) | −1.88173e12 | + | 3.25925e12i | −0.404994 | + | 0.701470i | −0.994321 | − | 0.106425i | \(-0.966060\pi\) |
0.589327 | + | 0.807895i | \(0.299393\pi\) | |||||||
\(654\) | −7.29366e11 | − | 1.26330e12i | −0.155900 | − | 0.270027i | ||||
\(655\) | −9.05287e11 | + | 5.13414e12i | −0.192177 | + | 1.08989i | ||||
\(656\) | 3.63309e11 | − | 2.06043e12i | 0.0765965 | − | 0.434400i | ||||
\(657\) | −6.53501e11 | − | 1.13190e12i | −0.136836 | − | 0.237008i | ||||
\(658\) | 1.21103e12 | − | 2.09756e12i | 0.251848 | − | 0.436213i | ||||
\(659\) | 4.14657e12 | + | 3.47939e12i | 0.856455 | + | 0.718651i | 0.961201 | − | 0.275848i | \(-0.0889586\pi\) |
−0.104746 | + | 0.994499i | \(0.533403\pi\) | |||||||
\(660\) | 1.09227e12 | + | 3.97552e11i | 0.224068 | + | 0.0815542i | ||||
\(661\) | 3.93279e12 | − | 1.43142e12i | 0.801299 | − | 0.291649i | 0.0912743 | − | 0.995826i | \(-0.470906\pi\) |
0.710025 | + | 0.704177i | \(0.248684\pi\) | |||||||
\(662\) | 8.30513e11 | − | 6.96883e11i | 0.168068 | − | 0.141026i | ||||
\(663\) | 1.10162e12 | + | 6.24761e12i | 0.221422 | + | 1.25575i | ||||
\(664\) | 4.96605e11 | 0.0991414 | ||||||||
\(665\) | 1.00213e13 | + | 7.25381e12i | 1.98714 | + | 1.43836i | ||||
\(666\) | −2.02318e12 | −0.398475 | ||||||||
\(667\) | 8.67320e11 | + | 4.91882e12i | 0.169673 | + | 0.962264i | ||||
\(668\) | 1.03343e12 | − | 8.67148e11i | 0.200810 | − | 0.168500i | ||||
\(669\) | 6.45562e12 | − | 2.34965e12i | 1.24601 | − | 0.453509i | ||||
\(670\) | −5.24814e12 | − | 1.91017e12i | −1.00616 | − | 0.366214i | ||||
\(671\) | 8.81227e11 | + | 7.39437e11i | 0.167817 | + | 0.140815i | ||||
\(672\) | 9.03868e11 | − | 1.56555e12i | 0.170979 | − | 0.296145i | ||||
\(673\) | −1.38116e12 | − | 2.39223e12i | −0.259522 | − | 0.449506i | 0.706592 | − | 0.707622i | \(-0.250232\pi\) |
−0.966114 | + | 0.258115i | \(0.916899\pi\) | |||||||
\(674\) | 5.23283e11 | − | 2.96769e12i | 0.0976714 | − | 0.553922i | ||||
\(675\) | 8.31983e11 | − | 4.71841e12i | 0.154258 | − | 0.874840i | ||||
\(676\) | 4.16962e11 | + | 7.22200e11i | 0.0767956 | + | 0.133014i | ||||
\(677\) | 9.51949e10 | − | 1.64882e11i | 0.0174167 | − | 0.0301665i | −0.857186 | − | 0.515007i | \(-0.827789\pi\) |
0.874602 | + | 0.484841i | \(0.161122\pi\) | |||||||
\(678\) | −1.62883e12 | − | 1.36675e12i | −0.296034 | − | 0.248402i | ||||
\(679\) | −1.11231e13 | − | 4.04849e12i | −2.00823 | − | 0.730936i | ||||
\(680\) | −3.59862e12 | + | 1.30979e12i | −0.645426 | + | 0.234916i | ||||
\(681\) | 1.21155e12 | − | 1.01661e12i | 0.215864 | − | 0.181132i | ||||
\(682\) | −1.69550e11 | − | 9.61566e11i | −0.0300102 | − | 0.170196i | ||||
\(683\) | 3.57363e12 | 0.628371 | 0.314185 | − | 0.949362i | \(-0.398269\pi\) | ||||
0.314185 | + | 0.949362i | \(0.398269\pi\) | |||||||
\(684\) | −1.05272e12 | + | 4.70942e11i | −0.183892 | + | 0.0822650i | ||||
\(685\) | 6.19196e12 | 1.07453 | ||||||||
\(686\) | 7.76160e11 | + | 4.40182e12i | 0.133811 | + | 0.758882i | ||||
\(687\) | 6.75709e12 | − | 5.66987e12i | 1.15732 | − | 0.971109i | ||||
\(688\) | −5.65946e11 | + | 2.05987e11i | −0.0963001 | + | 0.0350504i | ||||
\(689\) | 6.06541e12 | + | 2.20763e12i | 1.02535 | + | 0.373198i | ||||
\(690\) | 3.32011e12 | + | 2.78591e12i | 0.557612 | + | 0.467892i | ||||
\(691\) | 4.19939e11 | − | 7.27355e11i | 0.0700704 | − | 0.121366i | −0.828862 | − | 0.559454i | \(-0.811011\pi\) |
0.898932 | + | 0.438088i | \(0.144344\pi\) | |||||||
\(692\) | 1.17032e12 | + | 2.02705e12i | 0.194011 | + | 0.336038i | ||||
\(693\) | 1.85969e11 | − | 1.05468e12i | 0.0306296 | − | 0.173709i | ||||
\(694\) | 1.43381e12 | − | 8.13156e12i | 0.234626 | − | 1.33063i | ||||
\(695\) | −7.99181e12 | − | 1.38422e13i | −1.29931 | − | 2.25047i | ||||
\(696\) | −2.18889e12 | + | 3.79127e12i | −0.353576 | + | 0.612411i | ||||
\(697\) | 1.08925e13 | + | 9.13988e12i | 1.74815 | + | 1.46688i | ||||
\(698\) | 2.80830e12 | + | 1.02214e12i | 0.447811 | + | 0.162990i | ||||
\(699\) | −1.06905e13 | + | 3.89102e12i | −1.69375 | + | 0.616476i | ||||
\(700\) | 4.99137e12 | − | 4.18826e12i | 0.785740 | − | 0.659314i | ||||
\(701\) | 1.84948e12 | + | 1.04889e13i | 0.289280 | + | 1.64059i | 0.689582 | + | 0.724208i | \(0.257794\pi\) |
−0.400302 | + | 0.916383i | \(0.631095\pi\) | |||||||
\(702\) | −2.67835e12 | −0.416246 | ||||||||
\(703\) | −2.20680e12 | − | 8.78457e12i | −0.340771 | − | 1.35651i | ||||
\(704\) | 2.18383e11 | 0.0335075 | ||||||||
\(705\) | 8.83820e11 | + | 5.01239e12i | 0.134745 | + | 0.764177i | ||||
\(706\) | 1.03272e12 | − | 8.66556e11i | 0.156445 | − | 0.131273i | ||||
\(707\) | −9.08272e12 | + | 3.30584e12i | −1.36719 | + | 0.497616i | ||||
\(708\) | 1.10540e12 | + | 4.02333e11i | 0.165337 | + | 0.0601777i | ||||
\(709\) | −1.31775e11 | − | 1.10573e11i | −0.0195851 | − | 0.0164339i | 0.632943 | − | 0.774199i | \(-0.281847\pi\) |
−0.652528 | + | 0.757765i | \(0.726291\pi\) | |||||||
\(710\) | −3.05924e12 | + | 5.29877e12i | −0.451806 | + | 0.782550i | ||||
\(711\) | −1.37555e12 | − | 2.38252e12i | −0.201866 | − | 0.349642i | ||||
\(712\) | −1.86382e11 | + | 1.05702e12i | −0.0271796 | + | 0.154143i | ||||
\(713\) | 6.32200e11 | − | 3.58539e12i | 0.0916119 | − | 0.519557i | ||||
\(714\) | 6.14289e12 | + | 1.06398e13i | 0.884567 | + | 1.53211i | ||||
\(715\) | 1.17103e12 | − | 2.02828e12i | 0.167567 | − | 0.290235i | ||||
\(716\) | 2.12623e12 | + | 1.78411e12i | 0.302344 | + | 0.253696i | ||||
\(717\) | 3.24344e12 | + | 1.18051e12i | 0.458320 | + | 0.166815i | ||||
\(718\) | −1.73427e12 | + | 6.31221e11i | −0.243532 | + | 0.0886383i | ||||
\(719\) | −1.93813e12 | + | 1.62628e12i | −0.270459 | + | 0.226942i | −0.767922 | − | 0.640543i | \(-0.778709\pi\) |
0.497463 | + | 0.867485i | \(0.334265\pi\) | |||||||
\(720\) | 1.89448e11 | + | 1.07442e12i | 0.0262721 | + | 0.148996i | ||||
\(721\) | −1.85238e13 | −2.55283 | ||||||||
\(722\) | −3.19307e12 | − | 4.05720e12i | −0.437312 | − | 0.555660i | ||||
\(723\) | −9.13815e11 | −0.124376 | ||||||||
\(724\) | 5.26535e11 | + | 2.98613e12i | 0.0712202 | + | 0.403910i | ||||
\(725\) | −1.20876e13 | + | 1.01427e13i | −1.62487 | + | 1.36343i | ||||
\(726\) | −5.46784e12 | + | 1.99013e12i | −0.730467 | + | 0.265868i | ||||
\(727\) | 1.11229e13 | + | 4.04841e12i | 1.47677 | + | 0.537502i | 0.949931 | − | 0.312461i | \(-0.101153\pi\) |
0.526843 | + | 0.849963i | \(0.323376\pi\) | |||||||
\(728\) | −2.79025e12 | − | 2.34130e12i | −0.368173 | − | 0.308934i | ||||
\(729\) | −1.28807e12 | + | 2.23100e12i | −0.168914 | + | 0.292568i | ||||
\(730\) | −2.76766e12 | − | 4.79372e12i | −0.360711 | − | 0.624769i | ||||
\(731\) | 7.10766e11 | − | 4.03096e12i | 0.0920658 | − | 0.522131i | ||||
\(732\) | −6.52838e11 | + | 3.70243e12i | −0.0840438 | + | 0.476636i | ||||
\(733\) | −5.04063e12 | − | 8.73063e12i | −0.644936 | − | 1.11706i | −0.984316 | − | 0.176413i | \(-0.943551\pi\) |
0.339380 | − | 0.940649i | \(-0.389783\pi\) | |||||||
\(734\) | −2.93118e11 | + | 5.07696e11i | −0.0372744 | + | 0.0645612i | ||||
\(735\) | −1.79782e13 | − | 1.50855e13i | −2.27224 | − | 1.90663i | ||||
\(736\) | 7.65176e11 | + | 2.78501e11i | 0.0961194 | + | 0.0349846i | ||||
\(737\) | −2.03395e12 | + | 7.40298e11i | −0.253943 | + | 0.0924279i | ||||
\(738\) | 3.10311e12 | − | 2.60382e12i | 0.385073 | − | 0.323115i | ||||
\(739\) | −1.96327e12 | − | 1.11342e13i | −0.242147 | − | 1.37328i | −0.827026 | − | 0.562164i | \(-0.809969\pi\) |
0.584879 | − | 0.811121i | \(-0.301142\pi\) | |||||||
\(740\) | −8.56843e12 | −1.05041 | ||||||||
\(741\) | 1.97133e12 | + | 7.84725e12i | 0.240202 | + | 0.956171i | ||||
\(742\) | 1.25001e13 | 1.51390 | ||||||||
\(743\) | −2.15067e12 | − | 1.21971e13i | −0.258895 | − | 1.46827i | −0.785872 | − | 0.618389i | \(-0.787786\pi\) |
0.526977 | − | 0.849879i | \(-0.323325\pi\) | |||||||
\(744\) | 2.44446e12 | − | 2.05115e12i | 0.292486 | − | 0.245425i | ||||
\(745\) | 1.45660e13 | − | 5.30161e12i | 1.73236 | − | 0.630528i | ||||
\(746\) | 1.72991e12 | + | 6.29636e11i | 0.204503 | + | 0.0744329i | ||||
\(747\) | 7.36551e11 | + | 6.18039e11i | 0.0865486 | + | 0.0726229i | ||||
\(748\) | −7.42089e11 | + | 1.28534e12i | −0.0866760 | + | 0.150127i | ||||
\(749\) | −5.30649e12 | − | 9.19111e12i | −0.616083 | − | 1.06709i | ||||
\(750\) | −4.84751e11 | + | 2.74916e12i | −0.0559427 | + | 0.317267i | ||||
\(751\) | 1.57996e12 | − | 8.96038e12i | 0.181245 | − | 1.02789i | −0.749441 | − | 0.662071i | \(-0.769678\pi\) |
0.930686 | − | 0.365819i | \(-0.119211\pi\) | |||||||
\(752\) | 4.78123e11 | + | 8.28133e11i | 0.0545204 | + | 0.0944322i | ||||
\(753\) | −1.06221e12 | + | 1.83980e12i | −0.120402 | + | 0.208542i | ||||
\(754\) | 6.75713e12 | + | 5.66990e12i | 0.761362 | + | 0.638858i | ||||
\(755\) | −6.62700e12 | − | 2.41203e12i | −0.742260 | − | 0.270161i | ||||
\(756\) | −4.87409e12 | + | 1.77402e12i | −0.542682 | + | 0.197520i | ||||
\(757\) | −3.04737e12 | + | 2.55705e12i | −0.337283 | + | 0.283014i | −0.795660 | − | 0.605744i | \(-0.792876\pi\) |
0.458377 | + | 0.888758i | \(0.348431\pi\) | |||||||
\(758\) | 1.78612e12 | + | 1.01296e13i | 0.196516 | + | 1.11450i | ||||
\(759\) | 1.67971e12 | 0.183716 | ||||||||
\(760\) | −4.45842e12 | + | 1.99450e12i | −0.484752 | + | 0.216857i | ||||
\(761\) | −5.57461e12 | −0.602537 | −0.301269 | − | 0.953539i | \(-0.597410\pi\) | ||||
−0.301269 | + | 0.953539i | \(0.597410\pi\) | |||||||
\(762\) | 1.66229e12 | + | 9.42730e12i | 0.178611 | + | 1.01295i | ||||
\(763\) | −4.36038e12 | + | 3.65879e12i | −0.465762 | + | 0.390821i | ||||
\(764\) | −4.13474e12 | + | 1.50492e12i | −0.439064 | + | 0.159806i | ||||
\(765\) | −6.96745e12 | − | 2.53594e12i | −0.735525 | − | 0.267709i | ||||
\(766\) | −3.94170e12 | − | 3.30748e12i | −0.413670 | − | 0.347110i | ||||
\(767\) | 1.18511e12 | − | 2.05267e12i | 0.123646 | − | 0.214161i | ||||
\(768\) | 3.56854e11 | + | 6.18089e11i | 0.0370139 | + | 0.0641099i | ||||
\(769\) | 1.37926e12 | − | 7.82219e12i | 0.142226 | − | 0.806603i | −0.827327 | − | 0.561721i | \(-0.810140\pi\) |
0.969553 | − | 0.244882i | \(-0.0787493\pi\) | |||||||
\(770\) | 7.87603e11 | − | 4.46672e12i | 0.0807419 | − | 0.457910i | ||||
\(771\) | 4.89038e12 | + | 8.47039e12i | 0.498423 | + | 0.863294i | ||||
\(772\) | −7.43038e11 | + | 1.28698e12i | −0.0752893 | + | 0.130405i | ||||
\(773\) | 4.49891e12 | + | 3.77503e12i | 0.453210 | + | 0.380288i | 0.840626 | − | 0.541617i | \(-0.182188\pi\) |
−0.387415 | + | 0.921905i | \(0.626632\pi\) | |||||||
\(774\) | −1.09575e12 | − | 3.98821e11i | −0.109743 | − | 0.0399433i | ||||
\(775\) | 1.08080e13 | − | 3.93380e12i | 1.07619 | − | 0.391701i | ||||
\(776\) | 3.57998e12 | − | 3.00396e12i | 0.354408 | − | 0.297383i | ||||
\(777\) | 4.77335e12 | + | 2.70710e13i | 0.469817 | + | 2.66446i | ||||
\(778\) | −1.10380e11 | −0.0108014 | ||||||||
\(779\) | 1.46904e13 | + | 1.06334e13i | 1.42927 | + | 1.03456i | ||||
\(780\) | 7.65417e12 | 0.740410 | ||||||||
\(781\) | 4.11765e11 | + | 2.33524e12i | 0.0396023 | + | 0.224596i | ||||
\(782\) | −4.23933e12 | + | 3.55722e12i | −0.405384 | + | 0.340157i | ||||
\(783\) | 1.18035e13 | − | 4.29614e12i | 1.12224 | − | 0.408461i | ||||
\(784\) | −4.14338e12 | − | 1.50807e12i | −0.391681 | − | 0.142560i | ||||
\(785\) | −1.66227e13 | − | 1.39481e13i | −1.56238 | − | 1.31100i | ||||
\(786\) | −3.30159e12 | + | 5.71852e12i | −0.308547 | + | 0.534419i | ||||
\(787\) | 7.29916e12 | + | 1.26425e13i | 0.678245 | + | 1.17475i | 0.975509 | + | 0.219959i | \(0.0705925\pi\) |
−0.297264 | + | 0.954795i | \(0.596074\pi\) | |||||||
\(788\) | 1.69274e12 | − | 9.60002e12i | 0.156395 | − | 0.886960i | ||||
\(789\) | 1.37931e12 | − | 7.82247e12i | 0.126711 | − | 0.718617i | ||||
\(790\) | −5.82563e12 | − | 1.00903e13i | −0.532134 | − | 0.921682i | ||||
\(791\) | −4.14845e12 | + | 7.18532e12i | −0.376783 | + | 0.652607i | ||||
\(792\) | 3.23899e11 | + | 2.71784e11i | 0.0292514 | + | 0.0245448i | ||||
\(793\) | 7.11828e12 | + | 2.59084e12i | 0.639214 | + | 0.232655i | ||||
\(794\) | −6.53300e12 | + | 2.37782e12i | −0.583338 | + | 0.212318i | ||||
\(795\) | −2.01223e13 | + | 1.68846e13i | −1.78659 | + | 1.49913i | ||||
\(796\) | −2.93904e11 | − | 1.66681e12i | −0.0259475 | − | 0.147156i | ||||
\(797\) | 1.99390e13 | 1.75041 | 0.875207 | − | 0.483749i | \(-0.160725\pi\) | ||||
0.875207 | + | 0.483749i | \(0.160725\pi\) | |||||||
\(798\) | 8.78512e12 | + | 1.29748e13i | 0.766893 | + | 1.13263i | ||||
\(799\) | −6.49886e12 | −0.564127 | ||||||||
\(800\) | 4.46706e11 | + | 2.53339e12i | 0.0385582 | + | 0.218674i | ||||
\(801\) | −1.59193e12 | + | 1.33579e12i | −0.136640 | + | 0.114655i | ||||
\(802\) | −2.63970e12 | + | 9.60772e11i | −0.225304 | + | 0.0820041i | ||||
\(803\) | −2.01587e12 | − | 7.33718e11i | −0.171097 | − | 0.0622743i | ||||
\(804\) | −5.41889e12 | − | 4.54699e12i | −0.457360 | − | 0.383771i | ||||
\(805\) | 8.45598e12 | − | 1.46462e13i | 0.709712 | − | 1.22926i | ||||
\(806\) | −3.21480e12 | − | 5.56819e12i | −0.268316 | − | 0.464736i | ||||
\(807\) | −3.22561e12 | + | 1.82934e13i | −0.267720 | + | 1.51832i | ||||
\(808\) | 6.62652e11 | − | 3.75808e12i | 0.0546933 | − | 0.310181i | ||||
\(809\) | −3.88384e12 | − | 6.72702e12i | −0.318782 | − | 0.552146i | 0.661452 | − | 0.749987i | \(-0.269940\pi\) |
−0.980234 | + | 0.197841i | \(0.936607\pi\) | |||||||
\(810\) | 8.07120e12 | − | 1.39797e13i | 0.658803 | − | 1.14108i | ||||
\(811\) | −7.71404e12 | − | 6.47285e12i | −0.626164 | − | 0.525414i | 0.273570 | − | 0.961852i | \(-0.411795\pi\) |
−0.899734 | + | 0.436438i | \(0.856240\pi\) | |||||||
\(812\) | 1.60522e13 | + | 5.84252e12i | 1.29578 | + | 0.471626i | ||||
\(813\) | 4.35465e12 | − | 1.58496e12i | 0.349579 | − | 0.127236i | ||||
\(814\) | −2.54384e12 | + | 2.13454e12i | −0.203086 | + | 0.170410i | ||||
\(815\) | 3.77095e12 | + | 2.13861e13i | 0.299393 | + | 1.69794i | ||||
\(816\) | −4.85051e12 | −0.382985 | ||||||||
\(817\) | 5.36467e11 | − | 5.19272e12i | 0.0421254 | − | 0.407752i | ||||
\(818\) | −2.25197e12 | −0.175862 | ||||||||
\(819\) | −1.22461e12 | − | 6.94510e12i | −0.0951085 | − | 0.539387i | ||||
\(820\) | 1.31421e13 | − | 1.10275e13i | 1.01508 | − | 0.851754i | ||||
\(821\) | 7.72334e12 | − | 2.81107e12i | 0.593282 | − | 0.215937i | −0.0278903 | − | 0.999611i | \(-0.508879\pi\) |
0.621172 | + | 0.783674i | \(0.286657\pi\) | |||||||
\(822\) | 7.36971e12 | + | 2.68236e12i | 0.563025 | + | 0.204924i | ||||
\(823\) | −9.29324e12 | − | 7.79795e12i | −0.706102 | − | 0.592490i | 0.217400 | − | 0.976083i | \(-0.430242\pi\) |
−0.923503 | + | 0.383592i | \(0.874687\pi\) | |||||||
\(824\) | 3.65666e12 | − | 6.33353e12i | 0.276320 | − | 0.478601i | ||||
\(825\) | 2.65326e12 | + | 4.59559e12i | 0.199406 | + | 0.345381i | ||||
\(826\) | 7.97074e11 | − | 4.52043e12i | 0.0595783 | − | 0.337886i | ||||
\(827\) | 3.24594e12 | − | 1.84087e13i | 0.241305 | − | 1.36851i | −0.587615 | − | 0.809141i | \(-0.699933\pi\) |
0.828920 | − | 0.559367i | \(-0.188956\pi\) | |||||||
\(828\) | 7.88284e11 | + | 1.36535e12i | 0.0582836 | + | 0.100950i | ||||
\(829\) | −7.70115e12 | + | 1.33388e13i | −0.566318 | + | 0.980891i | 0.430608 | + | 0.902539i | \(0.358299\pi\) |
−0.996926 | + | 0.0783521i | \(0.975034\pi\) | |||||||
\(830\) | 3.11938e12 | + | 2.61747e12i | 0.228148 | + | 0.191439i | ||||
\(831\) | 2.92795e13 | + | 1.06568e13i | 2.12990 | + | 0.775219i | ||||
\(832\) | 1.35133e12 | − | 4.91843e11i | 0.0977699 | − | 0.0355853i | ||||
\(833\) | 2.29557e13 | − | 1.92621e13i | 1.65192 | − | 1.38612i | ||||
\(834\) | −3.51546e12 | − | 1.99372e13i | −0.251614 | − | 1.42697i | ||||
\(835\) | 1.10619e13 | 0.787481 | ||||||||
\(836\) | −8.26778e11 | + | 1.70280e12i | −0.0585411 | + | 0.120569i | ||||
\(837\) | −9.15591e12 | −0.644818 | ||||||||
\(838\) | 1.09612e12 | + | 6.21641e12i | 0.0767822 | + | 0.435453i | ||||
\(839\) | −4.37765e11 | + | 3.67328e11i | −0.0305008 | + | 0.0255932i | −0.657911 | − | 0.753096i | \(-0.728560\pi\) |
0.627410 | + | 0.778689i | \(0.284115\pi\) | |||||||
\(840\) | 1.39291e13 | − | 5.06979e12i | 0.965312 | − | 0.351345i | ||||
\(841\) | −2.52412e13 | − | 9.18704e12i | −1.73991 | − | 0.633277i | ||||
\(842\) | −7.29578e12 | − | 6.12188e12i | −0.500227 | − | 0.419740i | ||||
\(843\) | 1.37030e13 | − | 2.37343e13i | 0.934525 | − | 1.61865i | ||||
\(844\) | 4.67601e12 | + | 8.09908e12i | 0.317201 | + | 0.549408i | ||||
\(845\) | −1.18741e12 | + | 6.73413e12i | −0.0801208 | + | 0.454387i | ||||
\(846\) | −3.21497e11 | + | 1.82330e12i | −0.0215780 | + | 0.122375i | ||||
\(847\) | 1.13526e13 | + | 1.96632e13i | 0.757913 | + | 1.31274i | ||||
\(848\) | −2.46757e12 | + | 4.27396e12i | −0.163866 | + | 0.283824i | ||||
\(849\) | 1.84458e13 | + | 1.54779e13i | 1.21847 | + | 1.02242i | ||||
\(850\) | −1.64287e13 | − | 5.97957e12i | −1.07949 | − | 0.392903i | ||||
\(851\) | −1.16353e13 | + | 4.23492e12i | −0.760495 | + | 0.276797i | ||||
\(852\) | −5.93656e12 | + | 4.98137e12i | −0.385973 | + | 0.323870i | ||||
\(853\) | −3.04583e11 | − | 1.72738e12i | −0.0196986 | − | 0.111716i | 0.973373 | − | 0.229227i | \(-0.0736197\pi\) |
−0.993072 | + | 0.117510i | \(0.962509\pi\) | |||||||
\(854\) | 1.46700e13 | 0.943777 | ||||||||
\(855\) | −9.09481e12 | − | 2.59045e12i | −0.582031 | − | 0.165778i | ||||
\(856\) | 4.19008e12 | 0.266741 | ||||||||
\(857\) | −3.72389e11 | − | 2.11193e12i | −0.0235822 | − | 0.133741i | 0.970744 | − | 0.240118i | \(-0.0771861\pi\) |
−0.994326 | + | 0.106377i | \(0.966075\pi\) | |||||||
\(858\) | 2.27241e12 | − | 1.90678e12i | 0.143151 | − | 0.120118i | ||||
\(859\) | −8.48936e12 | + | 3.08987e12i | −0.531993 | + | 0.193629i | −0.594028 | − | 0.804445i | \(-0.702463\pi\) |
0.0620353 | + | 0.998074i | \(0.480241\pi\) | |||||||
\(860\) | −4.64064e12 | − | 1.68906e12i | −0.289291 | − | 0.105293i | ||||
\(861\) | −4.21614e13 | − | 3.53776e13i | −2.61457 | − | 2.19389i | ||||
\(862\) | 2.76482e12 | − | 4.78881e12i | 0.170563 | − | 0.295423i | ||||
\(863\) | 5.50708e11 | + | 9.53855e11i | 0.0337966 | + | 0.0585375i | 0.882429 | − | 0.470446i | \(-0.155907\pi\) |
−0.848632 | + | 0.528983i | \(0.822573\pi\) | |||||||
\(864\) | 3.55601e11 | − | 2.01671e12i | 0.0217096 | − | 0.123121i | ||||
\(865\) | −3.33279e12 | + | 1.89012e13i | −0.202412 | + | 1.14793i | ||||
\(866\) | 1.00825e12 | + | 1.74633e12i | 0.0609166 | + | 0.105511i | ||||
\(867\) | 6.62952e12 | − | 1.14827e13i | 0.398471 | − | 0.690171i | ||||
\(868\) | −9.53845e12 | − | 8.00371e12i | −0.570347 | − | 0.478578i | ||||
\(869\) | −4.24320e12 | − | 1.54440e12i | −0.252409 | − | 0.0918693i | ||||
\(870\) | −3.37321e13 | + | 1.22775e13i | −1.99621 | + | 0.726561i | ||||
\(871\) | −1.09185e13 | + | 9.16175e12i | −0.642811 | + | 0.539382i | ||||
\(872\) | −3.90234e11 | − | 2.21313e12i | −0.0228561 | − | 0.129623i | ||||
\(873\) | 9.04824e12 | 0.527230 | ||||||||
\(874\) | −5.06846e12 | + | 4.91195e12i | −0.293815 | + | 0.284743i | ||||
\(875\) | 1.08929e13 | 0.628213 | ||||||||
\(876\) | −1.21744e12 | − | 6.90447e12i | −0.0698523 | − | 0.396152i | ||||
\(877\) | 1.86782e13 | − | 1.56729e13i | 1.06620 | − | 0.894647i | 0.0714957 | − | 0.997441i | \(-0.477223\pi\) |
0.994703 | + | 0.102794i | \(0.0327783\pi\) | |||||||
\(878\) | −7.08936e12 | + | 2.58031e12i | −0.402607 | + | 0.146537i | ||||
\(879\) | −2.73891e12 | − | 9.96880e11i | −0.154749 | − | 0.0563239i | ||||
\(880\) | 1.37175e12 | + | 1.15104e12i | 0.0771088 | + | 0.0647020i | ||||
\(881\) | −8.34165e12 | + | 1.44482e13i | −0.466509 | + | 0.808017i | −0.999268 | − | 0.0382495i | \(-0.987822\pi\) |
0.532759 | + | 0.846267i | \(0.321155\pi\) | |||||||
\(882\) | −4.26851e12 | − | 7.39328e12i | −0.237502 | − | 0.411366i | ||||
\(883\) | −2.47925e12 | + | 1.40605e13i | −0.137245 | + | 0.778355i | 0.836025 | + | 0.548691i | \(0.184874\pi\) |
−0.973270 | + | 0.229664i | \(0.926237\pi\) | |||||||
\(884\) | −1.69712e12 | + | 9.62483e12i | −0.0934710 | + | 0.530100i | ||||
\(885\) | 4.82289e12 | + | 8.35348e12i | 0.264279 | + | 0.457744i | ||||
\(886\) | −1.07233e13 | + | 1.85734e13i | −0.584627 | + | 1.01260i | ||||
\(887\) | 4.14772e12 | + | 3.48035e12i | 0.224985 | + | 0.188785i | 0.748311 | − | 0.663348i | \(-0.230865\pi\) |
−0.523327 | + | 0.852132i | \(0.675309\pi\) | |||||||
\(888\) | −1.01982e13 | − | 3.71184e12i | −0.550384 | − | 0.200323i | ||||
\(889\) | 3.51008e13 | − | 1.27756e13i | 1.88477 | − | 0.686000i | ||||
\(890\) | −6.74202e12 | + | 5.65723e12i | −0.360193 | + | 0.302238i | ||||
\(891\) | −1.08636e12 | − | 6.16106e12i | −0.0577463 | − | 0.327496i | ||||
\(892\) | 1.05836e13 | 0.559744 | ||||||||
\(893\) | −8.26737e12 | + | 5.92848e11i | −0.435046 | + | 0.0311969i | ||||
\(894\) | 1.96333e13 | 1.02795 | ||||||||
\(895\) | 3.95211e12 | + | 2.24135e13i | 0.205885 | + | 1.16763i | ||||
\(896\) | 2.13338e12 | − | 1.79012e12i | 0.110582 | − | 0.0927890i | ||||
\(897\) | 1.03938e13 | − | 3.78305e12i | 0.536056 | − | 0.195108i | ||||
\(898\) | 3.43260e12 | + | 1.24936e12i | 0.176149 | + | 0.0641129i | ||||
\(899\) | 2.30992e13 | + | 1.93825e13i | 1.17945 | + | 0.989673i | ||||
\(900\) | −2.49034e12 | + | 4.31340e12i | −0.126522 | + | 0.219143i | ||||
\(901\) | −1.67702e13 | − | 2.90468e13i | −0.847765 | − | 1.46837i | ||||
\(902\) | 1.15456e12 | − | 6.54781e12i | 0.0580745 | − | 0.329357i | ||||
\(903\) | −2.75115e12 | + | 1.56026e13i | −0.137695 | + | 0.780910i | ||||
\(904\) | −1.63784e12 | − | 2.83682e12i | −0.0815666 | − | 0.141278i | ||||
\(905\) | −1.24317e13 | + | 2.15323e13i | −0.616044 | + | 1.06702i | ||||
\(906\) | −6.84262e12 | − | 5.74164e12i | −0.337400 | − | 0.283112i | ||||
\(907\) | −2.06032e13 | − | 7.49895e12i | −1.01089 | − | 0.367932i | −0.217113 | − | 0.976147i | \(-0.569664\pi\) |
−0.793773 | + | 0.608214i | \(0.791886\pi\) | |||||||
\(908\) | 2.28957e12 | − | 8.33336e11i | 0.111781 | − | 0.0406849i | ||||
\(909\) | 5.65987e12 | − | 4.74919e12i | 0.274960 | − | 0.230719i | ||||
\(910\) | −5.18636e12 | − | 2.94133e13i | −0.250713 | − | 1.42186i | ||||
\(911\) | −7.20024e12 | −0.346349 | −0.173175 | − | 0.984891i | \(-0.555403\pi\) | ||||
−0.173175 | + | 0.984891i | \(0.555403\pi\) | |||||||
\(912\) | −6.17046e12 | + | 4.42480e11i | −0.295353 | + | 0.0211795i | ||||
\(913\) | 1.57816e12 | 0.0751677 | ||||||||
\(914\) | −7.01335e11 | − | 3.97747e12i | −0.0332405 | − | 0.188516i | ||||
\(915\) | −2.36153e13 | + | 1.98156e13i | −1.11378 | + | 0.934569i | ||||
\(916\) | 1.27694e13 | − | 4.64769e12i | 0.599296 | − | 0.218126i | ||||
\(917\) | 2.42122e13 | + | 8.81251e12i | 1.13076 | + | 0.411564i | ||||
\(918\) | 1.06614e13 | + | 8.94597e12i | 0.495475 | + | 0.415753i | ||||
\(919\) | −6.59877e12 | + | 1.14294e13i | −0.305171 | + | 0.528572i | −0.977299 | − | 0.211863i | \(-0.932047\pi\) |
0.672128 | + | 0.740435i | \(0.265380\pi\) | |||||||
\(920\) | 3.33848e12 | + | 5.78242e12i | 0.153640 | + | 0.266112i | ||||
\(921\) | −2.71189e12 | + | 1.53799e13i | −0.124195 | + | 0.704343i | ||||
\(922\) | 4.00999e12 | − | 2.27418e13i | 0.182748 | − | 1.03642i | ||||
\(923\) | 7.80738e12 | + | 1.35228e13i | 0.354077 | + | 0.613279i | ||||
\(924\) | 2.87239e12 | − | 4.97513e12i | 0.129634 | − | 0.224533i | ||||
\(925\) | −2.99656e13 | − | 2.51441e13i | −1.34581 | − | 1.12927i | ||||
\(926\) | 1.65291e13 | + | 6.01609e12i | 0.738753 | + | 0.268884i | ||||
\(927\) | 1.33057e13 | − | 4.84289e12i | 0.591806 | − | 0.215400i | ||||
\(928\) | −5.16639e12 | + | 4.33512e12i | −0.228677 | + | 0.191882i | ||||
\(929\) | 7.68767e12 | + | 4.35989e13i | 0.338629 | + | 1.92046i | 0.387958 | + | 0.921677i | \(0.373180\pi\) |
−0.0493296 | + | 0.998783i | \(0.515708\pi\) | |||||||
\(930\) | 2.61657e13 | 1.14699 | ||||||||
\(931\) | 2.74454e13 | − | 2.65979e13i | 1.19728 | − | 1.16031i | ||||
\(932\) | −1.75263e13 | −0.760886 | ||||||||
\(933\) | 6.78747e12 | + | 3.84937e13i | 0.293252 | + | 1.66311i | ||||
\(934\) | −2.07405e13 | + | 1.74034e13i | −0.891783 | + | 0.748295i | ||||
\(935\) | −1.14360e13 | + | 4.16237e12i | −0.489354 | + | 0.178110i | ||||
\(936\) | 2.61636e12 | + | 9.52277e11i | 0.111418 | + | 0.0405529i | ||||
\(937\) | 1.86687e12 | + | 1.56649e12i | 0.0791198 | + | 0.0663894i | 0.681490 | − | 0.731828i | \(-0.261332\pi\) |
−0.602370 | + | 0.798217i | \(0.705777\pi\) | |||||||
\(938\) | −1.38013e13 | + | 2.39046e13i | −0.582114 | + | 1.00825i | ||||
\(939\) | −1.76460e13 | − | 3.05638e13i | −0.740715 | − | 1.28296i | ||||
\(940\) | −1.36158e12 | + | 7.72191e12i | −0.0568811 | + | 0.322589i | ||||
\(941\) | −9.77252e11 | + | 5.54227e12i | −0.0406306 | + | 0.230427i | −0.998360 | − | 0.0572420i | \(-0.981769\pi\) |
0.957730 | + | 0.287669i | \(0.0928805\pi\) | |||||||
\(942\) | −1.37421e13 | − | 2.38021e13i | −0.568624 | − | 0.984886i | ||||
\(943\) | 1.23957e13 | − | 2.14700e13i | 0.510468 | − | 0.884157i | ||||
\(944\) | 1.38825e12 | + | 1.16488e12i | 0.0568975 | + | 0.0477427i | ||||
\(945\) | −3.99666e13 | − | 1.45466e13i | −1.63025 | − | 0.593362i | ||||
\(946\) | −1.79851e12 | + | 6.54605e11i | −0.0730136 | + | 0.0265748i | ||||
\(947\) | 5.82895e12 | − | 4.89107e12i | 0.235513 | − | 0.197619i | −0.517391 | − | 0.855749i | \(-0.673097\pi\) |
0.752904 | + | 0.658130i | \(0.228652\pi\) | |||||||
\(948\) | −2.56259e12 | − | 1.45332e13i | −0.103049 | − | 0.584418i | ||||
\(949\) | −1.41265e13 | −0.565373 | ||||||||
\(950\) | −2.14449e13 | − | 6.10809e12i | −0.854217 | − | 0.243304i | ||||
\(951\) | −5.76582e13 | −2.28586 | ||||||||
\(952\) | 3.28664e12 | + | 1.86395e13i | 0.129684 | + | 0.735474i | ||||
\(953\) | 1.57849e11 | − | 1.32451e11i | 0.00619904 | − | 0.00520161i | −0.639683 | − | 0.768639i | \(-0.720934\pi\) |
0.645882 | + | 0.763437i | \(0.276490\pi\) | |||||||
\(954\) | −8.97889e12 | + | 3.26805e12i | −0.350958 | + | 0.127738i | ||||
\(955\) | −3.39040e13 | − | 1.23401e13i | −1.31897 | − | 0.480067i | ||||
\(956\) | 4.07336e12 | + | 3.41796e12i | 0.157722 | + | 0.132345i | ||||
\(957\) | −6.95605e12 | + | 1.20482e13i | −0.268077 | + | 0.464322i | ||||
\(958\) | 4.77468e12 | + | 8.26999e12i | 0.183147 | + | 0.317220i | ||||
\(959\) | 5.31410e12 | − | 3.01378e13i | 0.202883 | − | 1.15061i | ||||
\(960\) | −1.01623e12 | + | 5.76335e12i | −0.0386165 | + | 0.219005i | ||||
\(961\) | 2.23006e12 | + | 3.86257e12i | 0.0843452 | + | 0.146090i | ||||
\(962\) | −1.09336e13 | + | 1.89375e13i | −0.411599 | + | 0.712911i | ||||
\(963\) | 6.21460e12 | + | 5.21467e12i | 0.232860 | + | 0.195393i | ||||
\(964\) | −1.32289e12 | − | 4.81493e11i | −0.0493375 | − | 0.0179574i | ||||
\(965\) | −1.14507e13 | + | 4.16770e12i | −0.425067 | + | 0.154712i | ||||
\(966\) | 1.64091e13 | − | 1.37689e13i | 0.606300 | − | 0.508746i | ||||
\(967\) | −4.09477e12 | − | 2.32226e13i | −0.150595 | − | 0.854066i | −0.962703 | − | 0.270559i | \(-0.912791\pi\) |
0.812108 | − | 0.583507i | \(-0.198320\pi\) | |||||||
\(968\) | −8.96416e12 | −0.328148 | ||||||||
\(969\) | 1.83636e13 | − | 3.78211e13i | 0.669115 | − | 1.37809i | ||||
\(970\) | 3.83204e13 | 1.38982 | ||||||||
\(971\) | −8.37382e12 | − | 4.74903e13i | −0.302299 | − | 1.71443i | −0.635952 | − | 0.771729i | \(-0.719392\pi\) |
0.333652 | − | 0.942696i | \(-0.391719\pi\) | |||||||
\(972\) | 8.12405e12 | − | 6.81689e12i | 0.291927 | − | 0.244956i | ||||
\(973\) | −7.42322e13 | + | 2.70183e13i | −2.65512 | + | 0.966385i | ||||
\(974\) | 3.14229e13 | + | 1.14370e13i | 1.11875 | + | 0.407190i | ||||
\(975\) | 2.67683e13 | + | 2.24612e13i | 0.948635 | + | 0.796000i | ||||
\(976\) | −2.89591e12 | + | 5.01586e12i | −0.102155 | + | 0.176938i | ||||
\(977\) | 2.05632e13 | + | 3.56166e13i | 0.722047 | + | 1.25062i | 0.960178 | + | 0.279390i | \(0.0901321\pi\) |
−0.238130 | + | 0.971233i | \(0.576535\pi\) | |||||||
\(978\) | −4.77626e12 | + | 2.70875e13i | −0.166941 | + | 0.946770i | ||||
\(979\) | −5.92300e11 | + | 3.35910e12i | −0.0206072 | + | 0.116869i | ||||
\(980\) | −1.80777e13 | − | 3.13114e13i | −0.626073 | − | 1.08439i | ||||
\(981\) | 2.17552e12 | − | 3.76811e12i | 0.0749984 | − | 0.129901i | ||||
\(982\) | 3.62014e12 | + | 3.03765e12i | 0.124229 | + | 0.104241i | ||||
\(983\) | 4.49497e13 | + | 1.63604e13i | 1.53545 | + | 0.558858i | 0.964949 | − | 0.262438i | \(-0.0845264\pi\) |
0.570502 | + | 0.821296i | \(0.306749\pi\) | |||||||
\(984\) | 2.04189e13 | − | 7.43186e12i | 0.694311 | − | 0.252708i | ||||
\(985\) | 6.12319e13 | − | 5.13797e13i | 2.07260 | − | 1.73912i | ||||
\(986\) | −7.95923e12 | − | 4.51390e13i | −0.268179 | − | 1.52092i | ||||
\(987\) | 2.51550e13 | 0.843719 | ||||||||
\(988\) | −1.28094e12 | + | 1.23988e13i | −0.0427683 | + | 0.413975i | ||||
\(989\) | −7.13649e12 | −0.237193 | ||||||||
\(990\) | 6.02046e11 | + | 3.41437e12i | 0.0199192 | + | 0.112967i | ||||
\(991\) | 1.99572e13 | − | 1.67461e13i | 0.657308 | − | 0.551547i | −0.251971 | − | 0.967735i | \(-0.581079\pi\) |
0.909279 | + | 0.416188i | \(0.136634\pi\) | |||||||
\(992\) | 4.61950e12 | − | 1.68136e12i | 0.151458 | − | 0.0551262i | ||||
\(993\) | 1.05808e13 | + | 3.85110e12i | 0.345340 | + | 0.125694i | ||||
\(994\) | 2.31649e13 | + | 1.94376e13i | 0.752646 | + | 0.631545i | ||||
\(995\) | 6.93918e12 | − | 1.20190e13i | 0.224442 | − | 0.388745i | ||||
\(996\) | 2.57882e12 | + | 4.46665e12i | 0.0830337 | + | 0.143819i | ||||
\(997\) | −1.09135e11 | + | 6.18934e11i | −0.00349812 | + | 0.0198388i | −0.986507 | − | 0.163720i | \(-0.947651\pi\) |
0.983009 | + | 0.183559i | \(0.0587618\pi\) | |||||||
\(998\) | 1.59362e12 | − | 9.03789e12i | 0.0508509 | − | 0.288390i | ||||
\(999\) | 1.55697e13 | + | 2.69675e13i | 0.494579 | + | 0.856636i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 38.10.e.b.9.3 | ✓ | 48 | |
19.17 | even | 9 | inner | 38.10.e.b.17.3 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.10.e.b.9.3 | ✓ | 48 | 1.1 | even | 1 | trivial | |
38.10.e.b.17.3 | yes | 48 | 19.17 | even | 9 | inner |