Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [7,18,Mod(2,7)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(7, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 18, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("7.2");
S:= CuspForms(chi, 18);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 7 \) |
Weight: | \( k \) | \(=\) | \( 18 \) |
Character orbit: | \([\chi]\) | \(=\) | 7.c (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(12.8255461141\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 5 x^{19} + 231900 x^{18} + 2573595 x^{17} + 36222331443 x^{16} + 522056283042 x^{15} + \cdots + 54\!\cdots\!25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{50}\cdot 3^{18}\cdot 7^{19} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 2.3 | ||
Root | \(-94.3198 + 163.367i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 7.2 |
Dual form | 7.18.c.a.4.3 |
$q$-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 \(\left(\mathbb{Z}/7\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −175.640 | + | 304.217i | −0.485140 | + | 0.840288i | −0.999854 | − | 0.0170743i | \(-0.994565\pi\) |
0.514714 | + | 0.857362i | \(0.327898\pi\) | |||||||
\(3\) | −3368.41 | − | 5834.25i | −0.296411 | − | 0.513398i | 0.678901 | − | 0.734229i | \(-0.262456\pi\) |
−0.975312 | + | 0.220831i | \(0.929123\pi\) | |||||||
\(4\) | 3837.49 | + | 6646.72i | 0.0292777 | + | 0.0507105i | ||||
\(5\) | −348474. | + | 603575.i | −0.398956 | + | 0.691012i | −0.993597 | − | 0.112979i | \(-0.963961\pi\) |
0.594641 | + | 0.803991i | \(0.297294\pi\) | |||||||
\(6\) | 2.36650e6 | 0.575203 | ||||||||
\(7\) | −1.46022e7 | − | 4.40528e6i | −0.957381 | − | 0.288829i | ||||
\(8\) | −4.87389e7 | −1.02710 | ||||||||
\(9\) | 4.18777e7 | − | 7.25344e7i | 0.324281 | − | 0.561672i | ||||
\(10\) | −1.22412e8 | − | 2.12023e8i | −0.387100 | − | 0.670476i | ||||
\(11\) | 1.70437e8 | + | 2.95205e8i | 0.239732 | + | 0.415228i | 0.960637 | − | 0.277806i | \(-0.0896071\pi\) |
−0.720905 | + | 0.693034i | \(0.756274\pi\) | |||||||
\(12\) | 2.58524e7 | − | 4.47777e7i | 0.0173564 | − | 0.0300622i | ||||
\(13\) | 4.02063e9 | 1.36702 | 0.683512 | − | 0.729940i | \(-0.260452\pi\) | ||||
0.683512 | + | 0.729940i | \(0.260452\pi\) | |||||||
\(14\) | 3.90488e9 | − | 3.66849e9i | 0.707163 | − | 0.664353i | ||||
\(15\) | 4.69521e9 | 0.473020 | ||||||||
\(16\) | 8.05750e9 | − | 1.39560e10i | 0.469008 | − | 0.812346i | ||||
\(17\) | −1.58479e10 | − | 2.74494e10i | −0.551006 | − | 0.954370i | −0.998202 | − | 0.0599342i | \(-0.980911\pi\) |
0.447197 | − | 0.894436i | \(-0.352422\pi\) | |||||||
\(18\) | 1.47108e10 | + | 2.54798e10i | 0.314644 | + | 0.544979i | ||||
\(19\) | 4.66364e10 | − | 8.07766e10i | 0.629969 | − | 1.09114i | −0.357588 | − | 0.933880i | \(-0.616401\pi\) |
0.987557 | − | 0.157260i | \(-0.0502659\pi\) | |||||||
\(20\) | −5.34905e9 | −0.0467221 | ||||||||
\(21\) | 2.34846e10 | + | 1.00032e11i | 0.135494 | + | 0.577130i | ||||
\(22\) | −1.19742e11 | −0.465215 | ||||||||
\(23\) | 1.87988e11 | − | 3.25605e11i | 0.500546 | − | 0.866971i | −0.499454 | − | 0.866340i | \(-0.666466\pi\) |
1.00000 | 0.000630533i | \(-0.000200705\pi\) | ||||||||
\(24\) | 1.64173e11 | + | 2.84355e11i | 0.304442 | + | 0.527309i | ||||
\(25\) | 1.38602e11 | + | 2.40065e11i | 0.181668 | + | 0.314658i | ||||
\(26\) | −7.06182e11 | + | 1.22314e12i | −0.663198 | + | 1.14869i | ||||
\(27\) | −1.43424e12 | −0.977303 | ||||||||
\(28\) | −2.67550e10 | − | 1.13962e11i | −0.0133833 | − | 0.0570055i | ||||
\(29\) | −1.93368e12 | −0.717797 | −0.358898 | − | 0.933377i | \(-0.616848\pi\) | ||||
−0.358898 | + | 0.933377i | \(0.616848\pi\) | |||||||
\(30\) | −8.24664e11 | + | 1.42836e12i | −0.229481 | + | 0.397473i | ||||
\(31\) | −3.98024e11 | − | 6.89398e11i | −0.0838175 | − | 0.145176i | 0.821069 | − | 0.570829i | \(-0.193378\pi\) |
−0.904887 | + | 0.425652i | \(0.860045\pi\) | |||||||
\(32\) | −3.63724e11 | − | 6.29988e11i | −0.0584786 | − | 0.101288i | ||||
\(33\) | 1.14820e12 | − | 1.98874e12i | 0.142118 | − | 0.246156i | ||||
\(34\) | 1.11341e13 | 1.06926 | ||||||||
\(35\) | 7.74740e12 | − | 7.27838e12i | 0.581537 | − | 0.546332i | ||||
\(36\) | 6.42821e11 | 0.0379768 | ||||||||
\(37\) | 5.12219e12 | − | 8.87189e12i | 0.239740 | − | 0.415242i | −0.720899 | − | 0.693040i | \(-0.756271\pi\) |
0.960640 | + | 0.277797i | \(0.0896044\pi\) | |||||||
\(38\) | 1.63824e13 | + | 2.83751e13i | 0.611247 | + | 1.05871i | ||||
\(39\) | −1.35431e13 | − | 2.34574e13i | −0.405200 | − | 0.701828i | ||||
\(40\) | 1.69842e13 | − | 2.94176e13i | 0.409766 | − | 0.709736i | ||||
\(41\) | 5.03264e12 | 0.0984312 | 0.0492156 | − | 0.998788i | \(-0.484328\pi\) | ||||
0.0492156 | + | 0.998788i | \(0.484328\pi\) | |||||||
\(42\) | −3.45561e13 | − | 1.04251e13i | −0.550688 | − | 0.166135i | ||||
\(43\) | −1.11062e14 | −1.44905 | −0.724524 | − | 0.689250i | \(-0.757940\pi\) | ||||
−0.724524 | + | 0.689250i | \(0.757940\pi\) | |||||||
\(44\) | −1.30810e12 | + | 2.26569e12i | −0.0140376 | + | 0.0243138i | ||||
\(45\) | 2.91866e13 | + | 5.05527e13i | 0.258748 | + | 0.448165i | ||||
\(46\) | 6.60363e13 | + | 1.14378e14i | 0.485670 | + | 0.841205i | ||||
\(47\) | −1.57543e13 | + | 2.72872e13i | −0.0965087 | + | 0.167158i | −0.910237 | − | 0.414087i | \(-0.864101\pi\) |
0.813729 | + | 0.581245i | \(0.197434\pi\) | |||||||
\(48\) | −1.08564e14 | −0.556076 | ||||||||
\(49\) | 1.93817e14 | + | 1.28654e14i | 0.833156 | + | 0.553038i | ||||
\(50\) | −9.73757e13 | −0.352538 | ||||||||
\(51\) | −1.06764e14 | + | 1.84921e14i | −0.326648 | + | 0.565771i | ||||
\(52\) | 1.54291e13 | + | 2.67240e13i | 0.0400233 | + | 0.0693224i | ||||
\(53\) | −2.86591e14 | − | 4.96390e14i | −0.632292 | − | 1.09516i | −0.987082 | − | 0.160216i | \(-0.948781\pi\) |
0.354790 | − | 0.934946i | \(-0.384552\pi\) | |||||||
\(54\) | 2.51909e14 | − | 4.36319e14i | 0.474129 | − | 0.821216i | ||||
\(55\) | −2.37571e14 | −0.382570 | ||||||||
\(56\) | 7.11695e14 | + | 2.14709e14i | 0.983322 | + | 0.296655i | ||||
\(57\) | −6.28362e14 | −0.746919 | ||||||||
\(58\) | 3.39631e14 | − | 5.88258e14i | 0.348232 | − | 0.603156i | ||||
\(59\) | 4.66053e14 | + | 8.07228e14i | 0.413232 | + | 0.715738i | 0.995241 | − | 0.0974439i | \(-0.0310667\pi\) |
−0.582009 | + | 0.813182i | \(0.697733\pi\) | |||||||
\(60\) | 1.80178e13 | + | 3.12077e13i | 0.0138489 | + | 0.0239870i | ||||
\(61\) | 1.22189e15 | − | 2.11638e15i | 0.816075 | − | 1.41348i | −0.0924778 | − | 0.995715i | \(-0.529479\pi\) |
0.908553 | − | 0.417769i | \(-0.137188\pi\) | |||||||
\(62\) | 2.79635e14 | 0.162653 | ||||||||
\(63\) | −9.31041e14 | + | 8.74678e14i | −0.472688 | + | 0.444072i | ||||
\(64\) | 2.36776e15 | 1.05150 | ||||||||
\(65\) | −1.40109e15 | + | 2.42675e15i | −0.545382 | + | 0.944630i | ||||
\(66\) | 4.03339e14 | + | 6.98604e14i | 0.137895 | + | 0.238840i | ||||
\(67\) | −1.65088e15 | − | 2.85941e15i | −0.496684 | − | 0.860282i | 0.503309 | − | 0.864107i | \(-0.332116\pi\) |
−0.999993 | + | 0.00382490i | \(0.998782\pi\) | |||||||
\(68\) | 1.21632e14 | − | 2.10673e14i | 0.0322644 | − | 0.0558835i | ||||
\(69\) | −2.53288e15 | −0.593469 | ||||||||
\(70\) | 8.53456e14 | + | 3.63526e15i | 0.176949 | + | 0.753706i | ||||
\(71\) | −9.31042e15 | −1.71109 | −0.855546 | − | 0.517727i | \(-0.826778\pi\) | ||||
−0.855546 | + | 0.517727i | \(0.826778\pi\) | |||||||
\(72\) | −2.04108e15 | + | 3.53525e15i | −0.333068 | + | 0.576891i | ||||
\(73\) | 4.87732e14 | + | 8.44776e14i | 0.0707842 | + | 0.122602i | 0.899245 | − | 0.437445i | \(-0.144116\pi\) |
−0.828461 | + | 0.560047i | \(0.810783\pi\) | |||||||
\(74\) | 1.79932e15 | + | 3.11651e15i | 0.232615 | + | 0.402902i | ||||
\(75\) | 9.33733e14 | − | 1.61727e15i | 0.107697 | − | 0.186536i | ||||
\(76\) | 7.15866e14 | 0.0737762 | ||||||||
\(77\) | −1.18829e15 | − | 5.06147e15i | −0.109585 | − | 0.466773i | ||||
\(78\) | 9.51484e15 | 0.786316 | ||||||||
\(79\) | 1.02667e16 | − | 1.77825e16i | 0.761382 | − | 1.31875i | −0.180756 | − | 0.983528i | \(-0.557854\pi\) |
0.942138 | − | 0.335225i | \(-0.108812\pi\) | |||||||
\(80\) | 5.61565e15 | + | 9.72660e15i | 0.374227 | + | 0.648181i | ||||
\(81\) | −5.77000e14 | − | 9.99393e14i | −0.0345982 | − | 0.0599258i | ||||
\(82\) | −8.83930e14 | + | 1.53101e15i | −0.0477530 | + | 0.0827105i | ||||
\(83\) | −9.40532e15 | −0.458363 | −0.229182 | − | 0.973384i | \(-0.573605\pi\) | ||||
−0.229182 | + | 0.973384i | \(0.573605\pi\) | |||||||
\(84\) | −5.74761e14 | + | 5.39966e14i | −0.0252996 | + | 0.0237680i | ||||
\(85\) | 2.20903e16 | 0.879309 | ||||||||
\(86\) | 1.95068e16 | − | 3.37868e16i | 0.702992 | − | 1.21762i | ||||
\(87\) | 6.51342e15 | + | 1.12816e16i | 0.212763 | + | 0.368516i | ||||
\(88\) | −8.30691e15 | − | 1.43880e16i | −0.246228 | − | 0.426479i | ||||
\(89\) | −2.00272e16 | + | 3.46881e16i | −0.539268 | + | 0.934040i | 0.459676 | + | 0.888087i | \(0.347966\pi\) |
−0.998944 | + | 0.0459527i | \(0.985368\pi\) | |||||||
\(90\) | −2.05053e16 | −0.502117 | ||||||||
\(91\) | −5.87101e16 | − | 1.77120e16i | −1.30876 | − | 0.394836i | ||||
\(92\) | 2.88561e15 | 0.0586193 | ||||||||
\(93\) | −2.68141e15 | + | 4.64434e15i | −0.0496888 | + | 0.0860636i | ||||
\(94\) | −5.53414e15 | − | 9.58542e15i | −0.0936405 | − | 0.162190i | ||||
\(95\) | 3.25031e16 | + | 5.62971e16i | 0.502660 | + | 0.870633i | ||||
\(96\) | −2.45034e15 | + | 4.24411e15i | −0.0346674 | + | 0.0600456i | ||||
\(97\) | 5.62891e16 | 0.729230 | 0.364615 | − | 0.931158i | \(-0.381201\pi\) | ||||
0.364615 | + | 0.931158i | \(0.381201\pi\) | |||||||
\(98\) | −7.31806e16 | + | 3.63659e16i | −0.868909 | + | 0.431790i | ||||
\(99\) | 2.85501e16 | 0.310962 | ||||||||
\(100\) | −1.06376e15 | + | 1.84249e15i | −0.0106376 | + | 0.0184249i | ||||
\(101\) | 7.15769e16 | + | 1.23975e17i | 0.657720 | + | 1.13921i | 0.981204 | + | 0.192971i | \(0.0618125\pi\) |
−0.323484 | + | 0.946234i | \(0.604854\pi\) | |||||||
\(102\) | −3.75041e16 | − | 6.49590e16i | −0.316940 | − | 0.548957i | ||||
\(103\) | −1.57859e16 | + | 2.73420e16i | −0.122787 | + | 0.212674i | −0.920866 | − | 0.389880i | \(-0.872517\pi\) |
0.798079 | + | 0.602553i | \(0.205850\pi\) | |||||||
\(104\) | −1.95961e17 | −1.40406 | ||||||||
\(105\) | −6.85603e16 | − | 2.06837e16i | −0.452860 | − | 0.136622i | ||||
\(106\) | 2.01347e17 | 1.22700 | ||||||||
\(107\) | 1.34478e17 | − | 2.32923e17i | 0.756641 | − | 1.31054i | −0.187913 | − | 0.982186i | \(-0.560172\pi\) |
0.944554 | − | 0.328355i | \(-0.106494\pi\) | |||||||
\(108\) | −5.50387e15 | − | 9.53298e15i | −0.0286132 | − | 0.0495595i | ||||
\(109\) | −8.70915e16 | − | 1.50847e17i | −0.418649 | − | 0.725122i | 0.577154 | − | 0.816635i | \(-0.304163\pi\) |
−0.995804 | + | 0.0915129i | \(0.970830\pi\) | |||||||
\(110\) | 4.17269e16 | − | 7.22731e16i | 0.185600 | − | 0.321469i | ||||
\(111\) | −6.90145e16 | −0.284246 | ||||||||
\(112\) | −1.79137e17 | + | 1.68293e17i | −0.683648 | + | 0.642261i | ||||
\(113\) | 3.92028e17 | 1.38724 | 0.693618 | − | 0.720343i | \(-0.256016\pi\) | ||||
0.693618 | + | 0.720343i | \(0.256016\pi\) | |||||||
\(114\) | 1.10365e17 | − | 1.91158e17i | 0.362360 | − | 0.627627i | ||||
\(115\) | 1.31018e17 | + | 2.26930e17i | 0.399392 | + | 0.691767i | ||||
\(116\) | −7.42047e15 | − | 1.28526e16i | −0.0210154 | − | 0.0363998i | ||||
\(117\) | 1.68375e17 | − | 2.91634e17i | 0.443300 | − | 0.767818i | ||||
\(118\) | −3.27430e17 | −0.801901 | ||||||||
\(119\) | 1.10492e17 | + | 4.70636e17i | 0.251873 | + | 1.07284i | ||||
\(120\) | −2.28839e17 | −0.485836 | ||||||||
\(121\) | 1.94626e17 | − | 3.37102e17i | 0.385057 | − | 0.666939i | ||||
\(122\) | 4.29226e17 | + | 7.43442e17i | 0.791822 | + | 1.37148i | ||||
\(123\) | −1.69520e16 | − | 2.93617e16i | −0.0291761 | − | 0.0505344i | ||||
\(124\) | 3.05482e15 | − | 5.29111e15i | 0.00490797 | − | 0.00850085i | ||||
\(125\) | −7.24925e17 | −1.08782 | ||||||||
\(126\) | −1.02564e17 | − | 4.36866e17i | −0.143828 | − | 0.612631i | ||||
\(127\) | −1.26889e18 | −1.66376 | −0.831882 | − | 0.554952i | \(-0.812737\pi\) | ||||
−0.831882 | + | 0.554952i | \(0.812737\pi\) | |||||||
\(128\) | −3.68199e17 | + | 6.37739e17i | −0.451645 | + | 0.782272i | ||||
\(129\) | 3.74101e17 | + | 6.47962e17i | 0.429513 | + | 0.743939i | ||||
\(130\) | −4.92172e17 | − | 8.52467e17i | −0.529174 | − | 0.916556i | ||||
\(131\) | 3.32147e17 | − | 5.75295e17i | 0.334598 | − | 0.579541i | −0.648809 | − | 0.760951i | \(-0.724733\pi\) |
0.983408 | + | 0.181410i | \(0.0580660\pi\) | |||||||
\(132\) | 1.76248e16 | 0.0166436 | ||||||||
\(133\) | −1.03684e18 | + | 9.74069e17i | −0.918273 | + | 0.862682i | ||||
\(134\) | 1.15984e18 | 0.963846 | ||||||||
\(135\) | 4.99795e17 | − | 8.65670e17i | 0.389901 | − | 0.675329i | ||||
\(136\) | 7.72410e17 | + | 1.33785e18i | 0.565936 | + | 0.980229i | ||||
\(137\) | 1.60985e17 | + | 2.78834e17i | 0.110831 | + | 0.191964i | 0.916105 | − | 0.400937i | \(-0.131316\pi\) |
−0.805275 | + | 0.592902i | \(0.797982\pi\) | |||||||
\(138\) | 4.44874e17 | − | 7.70545e17i | 0.287916 | − | 0.498685i | ||||
\(139\) | 3.70885e17 | 0.225743 | 0.112871 | − | 0.993610i | \(-0.463995\pi\) | ||||
0.112871 | + | 0.993610i | \(0.463995\pi\) | |||||||
\(140\) | 7.81079e16 | + | 2.35641e16i | 0.0447308 | + | 0.0134947i | ||||
\(141\) | 2.12267e17 | 0.114425 | ||||||||
\(142\) | 1.63528e18 | − | 2.83239e18i | 0.830120 | − | 1.43781i | ||||
\(143\) | 6.85264e17 | + | 1.18691e18i | 0.327719 | + | 0.567626i | ||||
\(144\) | −6.74860e17 | − | 1.16889e18i | −0.304181 | − | 0.526857i | ||||
\(145\) | 6.73837e17 | − | 1.16712e18i | 0.286370 | − | 0.496007i | ||||
\(146\) | −3.42660e17 | −0.137361 | ||||||||
\(147\) | 9.77410e16 | − | 1.56414e18i | 0.0369726 | − | 0.591667i | ||||
\(148\) | 7.86253e16 | 0.0280762 | ||||||||
\(149\) | −1.28190e18 | + | 2.22031e18i | −0.432284 | + | 0.748739i | −0.997070 | − | 0.0764994i | \(-0.975626\pi\) |
0.564785 | + | 0.825238i | \(0.308959\pi\) | |||||||
\(150\) | 3.28001e17 | + | 5.68114e17i | 0.104496 | + | 0.180992i | ||||
\(151\) | −6.68975e17 | − | 1.15870e18i | −0.201422 | − | 0.348872i | 0.747565 | − | 0.664188i | \(-0.231223\pi\) |
−0.948987 | + | 0.315316i | \(0.897889\pi\) | |||||||
\(152\) | −2.27301e18 | + | 3.93697e18i | −0.647039 | + | 1.12070i | ||||
\(153\) | −2.65470e18 | −0.714724 | ||||||||
\(154\) | 1.74849e18 | + | 5.27497e17i | 0.445387 | + | 0.134367i | ||||
\(155\) | 5.54804e17 | 0.133758 | ||||||||
\(156\) | 1.03943e17 | − | 1.80035e17i | 0.0237267 | − | 0.0410958i | ||||
\(157\) | −4.42552e18 | − | 7.66522e18i | −0.956791 | − | 1.65721i | −0.730215 | − | 0.683218i | \(-0.760580\pi\) |
−0.226577 | − | 0.973993i | \(-0.572753\pi\) | |||||||
\(158\) | 3.60649e18 | + | 6.24663e18i | 0.738754 | + | 1.27956i | ||||
\(159\) | −1.93071e18 | + | 3.34409e18i | −0.374836 | + | 0.649236i | ||||
\(160\) | 5.06993e17 | 0.0933216 | ||||||||
\(161\) | −4.17942e18 | + | 3.92641e18i | −0.729619 | + | 0.685449i | ||||
\(162\) | 4.05376e17 | 0.0671399 | ||||||||
\(163\) | −1.44458e17 | + | 2.50209e17i | −0.0227064 | + | 0.0393286i | −0.877155 | − | 0.480207i | \(-0.840562\pi\) |
0.854449 | + | 0.519535i | \(0.173895\pi\) | |||||||
\(164\) | 1.93127e16 | + | 3.34505e16i | 0.00288184 | + | 0.00499149i | ||||
\(165\) | 8.00237e17 | + | 1.38605e18i | 0.113398 | + | 0.196411i | ||||
\(166\) | 1.65195e18 | − | 2.86125e18i | 0.222370 | − | 0.385157i | ||||
\(167\) | 7.79591e18 | 0.997188 | 0.498594 | − | 0.866836i | \(-0.333850\pi\) | ||||
0.498594 | + | 0.866836i | \(0.333850\pi\) | |||||||
\(168\) | −1.14461e18 | − | 4.87543e18i | −0.139165 | − | 0.592768i | ||||
\(169\) | 7.51507e18 | 0.868753 | ||||||||
\(170\) | −3.87994e18 | + | 6.72025e18i | −0.426588 | + | 0.738872i | ||||
\(171\) | −3.90606e18 | − | 6.76549e18i | −0.408575 | − | 0.707672i | ||||
\(172\) | −4.26198e17 | − | 7.38197e17i | −0.0424248 | − | 0.0734819i | ||||
\(173\) | −3.48194e18 | + | 6.03090e18i | −0.329936 | + | 0.571466i | −0.982499 | − | 0.186269i | \(-0.940360\pi\) |
0.652563 | + | 0.757734i | \(0.273694\pi\) | |||||||
\(174\) | −4.57606e18 | −0.412879 | ||||||||
\(175\) | −9.66333e17 | − | 4.11605e18i | −0.0830431 | − | 0.353718i | ||||
\(176\) | 5.49318e18 | 0.449745 | ||||||||
\(177\) | 3.13971e18 | − | 5.43815e18i | 0.244973 | − | 0.424305i | ||||
\(178\) | −7.03513e18 | − | 1.21852e19i | −0.523241 | − | 0.906281i | ||||
\(179\) | −6.33193e17 | − | 1.09672e18i | −0.0449040 | − | 0.0777761i | 0.842700 | − | 0.538384i | \(-0.180965\pi\) |
−0.887604 | + | 0.460608i | \(0.847632\pi\) | |||||||
\(180\) | −2.24006e17 | + | 3.87990e17i | −0.0151511 | + | 0.0262425i | ||||
\(181\) | 2.50270e19 | 1.61488 | 0.807440 | − | 0.589949i | \(-0.200852\pi\) | ||||
0.807440 | + | 0.589949i | \(0.200852\pi\) | |||||||
\(182\) | 1.57001e19 | − | 1.47496e19i | 0.966709 | − | 0.908186i | ||||
\(183\) | −1.64634e19 | −0.967574 | ||||||||
\(184\) | −9.16234e18 | + | 1.58696e19i | −0.514109 | + | 0.890462i | ||||
\(185\) | 3.56990e18 | + | 6.18325e18i | 0.191292 | + | 0.331327i | ||||
\(186\) | −9.41924e17 | − | 1.63146e18i | −0.0482121 | − | 0.0835058i | ||||
\(187\) | 5.40214e18 | − | 9.35678e18i | 0.264187 | − | 0.457586i | ||||
\(188\) | −2.41827e17 | −0.0113022 | ||||||||
\(189\) | 2.09430e19 | + | 6.31823e18i | 0.935651 | + | 0.282273i | ||||
\(190\) | −2.28354e19 | −0.975443 | ||||||||
\(191\) | −1.00934e19 | + | 1.74824e19i | −0.412340 | + | 0.714195i | −0.995145 | − | 0.0984176i | \(-0.968622\pi\) |
0.582805 | + | 0.812612i | \(0.301955\pi\) | |||||||
\(192\) | −7.97558e18 | − | 1.38141e19i | −0.311675 | − | 0.539837i | ||||
\(193\) | 1.57182e19 | + | 2.72247e19i | 0.587714 | + | 1.01795i | 0.994531 | + | 0.104440i | \(0.0333052\pi\) |
−0.406817 | + | 0.913509i | \(0.633361\pi\) | |||||||
\(194\) | −9.88659e18 | + | 1.71241e19i | −0.353779 | + | 0.612763i | ||||
\(195\) | 1.88777e19 | 0.646629 | ||||||||
\(196\) | −1.11352e17 | + | 1.78196e18i | −0.00365193 | + | 0.0584414i | ||||
\(197\) | −3.19025e19 | −1.00199 | −0.500993 | − | 0.865451i | \(-0.667032\pi\) | ||||
−0.500993 | + | 0.865451i | \(0.667032\pi\) | |||||||
\(198\) | −5.01452e18 | + | 8.68540e18i | −0.150860 | + | 0.261298i | ||||
\(199\) | −8.94836e18 | − | 1.54990e19i | −0.257924 | − | 0.446738i | 0.707761 | − | 0.706451i | \(-0.249705\pi\) |
−0.965686 | + | 0.259714i | \(0.916372\pi\) | |||||||
\(200\) | −6.75529e18 | − | 1.17005e19i | −0.186590 | − | 0.323184i | ||||
\(201\) | −1.11217e19 | + | 1.92633e19i | −0.294445 | + | 0.509993i | ||||
\(202\) | −5.02869e19 | −1.27635 | ||||||||
\(203\) | 2.82360e19 | + | 8.51841e18i | 0.687205 | + | 0.207320i | ||||
\(204\) | −1.63883e18 | −0.0382540 | ||||||||
\(205\) | −1.75374e18 | + | 3.03757e18i | −0.0392697 | + | 0.0680172i | ||||
\(206\) | −5.54526e18 | − | 9.60467e18i | −0.119138 | − | 0.206353i | ||||
\(207\) | −1.57450e19 | − | 2.72712e19i | −0.324635 | − | 0.562285i | ||||
\(208\) | 3.23962e19 | − | 5.61119e19i | 0.641145 | − | 1.11050i | ||||
\(209\) | 3.17943e19 | 0.604095 | ||||||||
\(210\) | 1.83342e19 | − | 1.72243e19i | 0.334502 | − | 0.314252i | ||||
\(211\) | −5.36032e19 | −0.939269 | −0.469635 | − | 0.882861i | \(-0.655614\pi\) | ||||
−0.469635 | + | 0.882861i | \(0.655614\pi\) | |||||||
\(212\) | 2.19958e18 | − | 3.80978e18i | 0.0370241 | − | 0.0641277i | ||||
\(213\) | 3.13613e19 | + | 5.43193e19i | 0.507186 | + | 0.878472i | ||||
\(214\) | 4.72394e19 | + | 8.18210e19i | 0.734154 | + | 1.27159i | ||||
\(215\) | 3.87021e19 | − | 6.70341e19i | 0.578107 | − | 1.00131i | ||||
\(216\) | 6.99032e19 | 1.00378 | ||||||||
\(217\) | 2.77503e18 | + | 1.18201e19i | 0.0383142 | + | 0.163198i | ||||
\(218\) | 6.11869e19 | 0.812415 | ||||||||
\(219\) | 3.28576e18 | − | 5.69110e18i | 0.0419624 | − | 0.0726810i | ||||
\(220\) | −9.11676e17 | − | 1.57907e18i | −0.0112008 | − | 0.0194003i | ||||
\(221\) | −6.37186e19 | − | 1.10364e20i | −0.753238 | − | 1.30465i | ||||
\(222\) | 1.21217e19 | − | 2.09954e19i | 0.137899 | − | 0.238849i | ||||
\(223\) | 5.03091e18 | 0.0550878 | 0.0275439 | − | 0.999621i | \(-0.491231\pi\) | ||||
0.0275439 | + | 0.999621i | \(0.491231\pi\) | |||||||
\(224\) | 2.53589e18 | + | 1.08015e19i | 0.0267314 | + | 0.113861i | ||||
\(225\) | 2.32173e19 | 0.235646 | ||||||||
\(226\) | −6.88557e19 | + | 1.19261e20i | −0.673004 | + | 1.16568i | ||||
\(227\) | −9.90843e19 | − | 1.71619e20i | −0.932792 | − | 1.61564i | −0.778524 | − | 0.627615i | \(-0.784031\pi\) |
−0.154268 | − | 0.988029i | \(-0.549302\pi\) | |||||||
\(228\) | −2.41133e18 | − | 4.17654e18i | −0.0218681 | − | 0.0378766i | ||||
\(229\) | −8.69399e19 | + | 1.50584e20i | −0.759657 | + | 1.31576i | 0.183368 | + | 0.983044i | \(0.441300\pi\) |
−0.943026 | + | 0.332720i | \(0.892033\pi\) | |||||||
\(230\) | −9.20477e19 | −0.775044 | ||||||||
\(231\) | −2.55272e19 | + | 2.39819e19i | −0.207158 | + | 0.194617i | ||||
\(232\) | 9.42455e19 | 0.737246 | ||||||||
\(233\) | 2.48459e19 | − | 4.30343e19i | 0.187383 | − | 0.324556i | −0.756994 | − | 0.653422i | \(-0.773333\pi\) |
0.944377 | + | 0.328865i | \(0.106666\pi\) | |||||||
\(234\) | 5.91466e19 | + | 1.02445e20i | 0.430126 | + | 0.744999i | ||||
\(235\) | −1.09799e19 | − | 1.90177e19i | −0.0770055 | − | 0.133377i | ||||
\(236\) | −3.57695e18 | + | 6.19545e18i | −0.0241969 | + | 0.0419103i | ||||
\(237\) | −1.38330e20 | −0.902727 | ||||||||
\(238\) | −1.62582e20 | − | 4.90488e19i | −1.02369 | − | 0.308833i | ||||
\(239\) | 6.11461e19 | 0.371524 | 0.185762 | − | 0.982595i | \(-0.440525\pi\) | ||||
0.185762 | + | 0.982595i | \(0.440525\pi\) | |||||||
\(240\) | 3.78316e19 | − | 6.55263e19i | 0.221850 | − | 0.384255i | ||||
\(241\) | 1.17227e20 | + | 2.03043e20i | 0.663562 | + | 1.14932i | 0.979673 | + | 0.200601i | \(0.0642895\pi\) |
−0.316111 | + | 0.948722i | \(0.602377\pi\) | |||||||
\(242\) | 6.83681e19 | + | 1.18417e20i | 0.373614 | + | 0.647118i | ||||
\(243\) | −9.64960e19 | + | 1.67136e20i | −0.509162 | + | 0.881895i | ||||
\(244\) | 1.87560e19 | 0.0955712 | ||||||||
\(245\) | −1.45192e20 | + | 7.21509e19i | −0.714549 | + | 0.355083i | ||||
\(246\) | 1.19097e19 | 0.0566180 | ||||||||
\(247\) | 1.87508e20 | − | 3.24773e20i | 0.861183 | − | 1.49161i | ||||
\(248\) | 1.93993e19 | + | 3.36005e19i | 0.0860886 | + | 0.149110i | ||||
\(249\) | 3.16809e19 | + | 5.48730e19i | 0.135864 | + | 0.235323i | ||||
\(250\) | 1.27326e20 | − | 2.20534e20i | 0.527747 | − | 0.914084i | ||||
\(251\) | 2.79234e19 | 0.111877 | 0.0559385 | − | 0.998434i | \(-0.482185\pi\) | ||||
0.0559385 | + | 0.998434i | \(0.482185\pi\) | |||||||
\(252\) | −9.38660e18 | − | 2.83181e18i | −0.0363583 | − | 0.0109688i | ||||
\(253\) | 1.28161e20 | 0.479987 | ||||||||
\(254\) | 2.22867e20 | − | 3.86017e20i | 0.807159 | − | 1.39804i | ||||
\(255\) | −7.44092e19 | − | 1.28881e20i | −0.260637 | − | 0.451436i | ||||
\(256\) | 2.58331e19 | + | 4.47443e19i | 0.0875260 | + | 0.151600i | ||||
\(257\) | −5.58059e19 | + | 9.66586e19i | −0.182915 | + | 0.316817i | −0.942872 | − | 0.333156i | \(-0.891887\pi\) |
0.759957 | + | 0.649973i | \(0.225220\pi\) | |||||||
\(258\) | −2.62828e20 | −0.833497 | ||||||||
\(259\) | −1.13878e20 | + | 1.06984e20i | −0.349457 | + | 0.328301i | ||||
\(260\) | −2.15066e19 | −0.0638702 | ||||||||
\(261\) | −8.09782e19 | + | 1.40258e20i | −0.232768 | + | 0.403166i | ||||
\(262\) | 1.16676e20 | + | 2.02089e20i | 0.324654 | + | 0.562318i | ||||
\(263\) | −3.01084e20 | − | 5.21492e20i | −0.811079 | − | 1.40483i | −0.912109 | − | 0.409947i | \(-0.865547\pi\) |
0.101030 | − | 0.994883i | \(-0.467786\pi\) | |||||||
\(264\) | −5.59621e19 | + | 9.69292e19i | −0.145969 | + | 0.252826i | ||||
\(265\) | 3.99478e20 | 1.00903 | ||||||||
\(266\) | −1.14218e20 | − | 4.86508e20i | −0.279410 | − | 1.19014i | ||||
\(267\) | 2.69839e20 | 0.639379 | ||||||||
\(268\) | 1.26705e19 | − | 2.19459e19i | 0.0290835 | − | 0.0503741i | ||||
\(269\) | 3.18153e20 | + | 5.51058e20i | 0.707526 | + | 1.22547i | 0.965772 | + | 0.259392i | \(0.0835220\pi\) |
−0.258246 | + | 0.966079i | \(0.583145\pi\) | |||||||
\(270\) | 1.75567e20 | + | 3.04092e20i | 0.378314 | + | 0.655258i | ||||
\(271\) | 1.47154e20 | − | 2.54878e20i | 0.307279 | − | 0.532223i | −0.670487 | − | 0.741921i | \(-0.733915\pi\) |
0.977766 | + | 0.209698i | \(0.0672481\pi\) | |||||||
\(272\) | −5.10778e20 | −1.03370 | ||||||||
\(273\) | 9.44230e19 | + | 4.02191e20i | 0.185223 | + | 0.788950i | ||||
\(274\) | −1.13101e20 | −0.215074 | ||||||||
\(275\) | −4.72457e19 | + | 8.18319e19i | −0.0871032 | + | 0.150867i | ||||
\(276\) | −9.71990e18 | − | 1.68354e19i | −0.0173754 | − | 0.0300951i | ||||
\(277\) | −1.31262e20 | − | 2.27352e20i | −0.227541 | − | 0.394113i | 0.729538 | − | 0.683941i | \(-0.239735\pi\) |
−0.957079 | + | 0.289828i | \(0.906402\pi\) | |||||||
\(278\) | −6.51421e19 | + | 1.12829e20i | −0.109517 | + | 0.189689i | ||||
\(279\) | −6.66734e19 | −0.108722 | ||||||||
\(280\) | −3.77600e20 | + | 3.54741e20i | −0.597294 | + | 0.561135i | ||||
\(281\) | −2.25835e20 | −0.346567 | −0.173284 | − | 0.984872i | \(-0.555438\pi\) | ||||
−0.173284 | + | 0.984872i | \(0.555438\pi\) | |||||||
\(282\) | −3.72825e19 | + | 6.45752e19i | −0.0555121 | + | 0.0961498i | ||||
\(283\) | 2.17831e20 | + | 3.77295e20i | 0.314728 | + | 0.545125i | 0.979380 | − | 0.202028i | \(-0.0647534\pi\) |
−0.664652 | + | 0.747153i | \(0.731420\pi\) | |||||||
\(284\) | −3.57286e19 | − | 6.18838e19i | −0.0500968 | − | 0.0867703i | ||||
\(285\) | 2.18968e20 | − | 3.79263e20i | 0.297988 | − | 0.516130i | ||||
\(286\) | −4.81438e20 | −0.635959 | ||||||||
\(287\) | −7.34875e19 | − | 2.21702e19i | −0.0942362 | − | 0.0284298i | ||||
\(288\) | −6.09277e19 | −0.0758541 | ||||||||
\(289\) | −8.86922e19 | + | 1.53619e20i | −0.107215 | + | 0.185701i | ||||
\(290\) | 2.36705e20 | + | 4.09985e20i | 0.277859 | + | 0.481266i | ||||
\(291\) | −1.89604e20 | − | 3.28405e20i | −0.216151 | − | 0.374385i | ||||
\(292\) | −3.74333e18 | + | 6.48363e18i | −0.00414480 | + | 0.00717900i | ||||
\(293\) | 5.17283e19 | 0.0556357 | 0.0278179 | − | 0.999613i | \(-0.491144\pi\) | ||||
0.0278179 | + | 0.999613i | \(0.491144\pi\) | |||||||
\(294\) | 4.58670e20 | + | 3.04459e20i | 0.479234 | + | 0.318109i | ||||
\(295\) | −6.49630e20 | −0.659445 | ||||||||
\(296\) | −2.49650e20 | + | 4.32406e20i | −0.246236 | + | 0.426494i | ||||
\(297\) | −2.44447e20 | − | 4.23395e20i | −0.234291 | − | 0.405804i | ||||
\(298\) | −4.50303e20 | − | 7.79948e20i | −0.419437 | − | 0.726487i | ||||
\(299\) | 7.55831e20 | − | 1.30914e21i | 0.684258 | − | 1.18517i | ||||
\(300\) | 1.43328e19 | 0.0126124 | ||||||||
\(301\) | 1.62175e21 | + | 4.89258e20i | 1.38729 | + | 0.418527i | ||||
\(302\) | 4.69994e20 | 0.390871 | ||||||||
\(303\) | 4.82200e20 | − | 8.35195e20i | 0.389911 | − | 0.675345i | ||||
\(304\) | −7.51545e20 | − | 1.30171e21i | −0.590921 | − | 1.02351i | ||||
\(305\) | 8.51597e20 | + | 1.47501e21i | 0.651157 | + | 1.12784i | ||||
\(306\) | 4.66270e20 | − | 8.07604e20i | 0.346741 | − | 0.600573i | ||||
\(307\) | 2.14791e20 | 0.155360 | 0.0776801 | − | 0.996978i | \(-0.475249\pi\) | ||||
0.0776801 | + | 0.996978i | \(0.475249\pi\) | |||||||
\(308\) | 2.90821e19 | − | 2.73215e19i | 0.0204619 | − | 0.0192231i | ||||
\(309\) | 2.12693e20 | 0.145582 | ||||||||
\(310\) | −9.74455e19 | + | 1.68781e20i | −0.0648914 | + | 0.112395i | ||||
\(311\) | −4.34823e20 | − | 7.53136e20i | −0.281741 | − | 0.487989i | 0.690073 | − | 0.723740i | \(-0.257578\pi\) |
−0.971814 | + | 0.235751i | \(0.924245\pi\) | |||||||
\(312\) | 6.60077e20 | + | 1.14329e21i | 0.416180 | + | 0.720844i | ||||
\(313\) | −9.75522e20 | + | 1.68965e21i | −0.598564 | + | 1.03674i | 0.394470 | + | 0.918909i | \(0.370928\pi\) |
−0.993033 | + | 0.117834i | \(0.962405\pi\) | |||||||
\(314\) | 3.10919e21 | 1.85671 | ||||||||
\(315\) | −2.03490e20 | − | 8.66755e20i | −0.118278 | − | 0.503798i | ||||
\(316\) | 1.57594e20 | 0.0891660 | ||||||||
\(317\) | −1.33346e21 | + | 2.30962e21i | −0.734473 | + | 1.27214i | 0.220481 | + | 0.975391i | \(0.429237\pi\) |
−0.954954 | + | 0.296754i | \(0.904096\pi\) | |||||||
\(318\) | −6.78219e20 | − | 1.17471e21i | −0.363697 | − | 0.629941i | ||||
\(319\) | −3.29571e20 | − | 5.70833e20i | −0.172079 | − | 0.298049i | ||||
\(320\) | −8.25103e20 | + | 1.42912e21i | −0.419501 | + | 0.726598i | ||||
\(321\) | −1.81191e21 | −0.897106 | ||||||||
\(322\) | −4.60407e20 | − | 1.96108e21i | −0.222007 | − | 0.945629i | ||||
\(323\) | −2.95636e21 | −1.38847 | ||||||||
\(324\) | 4.42846e18 | − | 7.67032e18i | 0.00202591 | − | 0.00350898i | ||||
\(325\) | 5.57266e20 | + | 9.65213e20i | 0.248344 | + | 0.430145i | ||||
\(326\) | −5.07452e19 | − | 8.78933e19i | −0.0220316 | − | 0.0381598i | ||||
\(327\) | −5.86719e20 | + | 1.01623e21i | −0.248184 | + | 0.429868i | ||||
\(328\) | −2.45285e20 | −0.101098 | ||||||||
\(329\) | 3.50255e20 | − | 3.29051e20i | 0.140676 | − | 0.132159i | ||||
\(330\) | −5.62213e20 | −0.220056 | ||||||||
\(331\) | −1.31789e20 | + | 2.28266e20i | −0.0502739 | + | 0.0870769i | −0.890067 | − | 0.455829i | \(-0.849343\pi\) |
0.839793 | + | 0.542906i | \(0.182676\pi\) | |||||||
\(332\) | −3.60928e19 | − | 6.25145e19i | −0.0134198 | − | 0.0232438i | ||||
\(333\) | −4.29011e20 | − | 7.43070e20i | −0.155487 | − | 0.269311i | ||||
\(334\) | −1.36927e21 | + | 2.37165e21i | −0.483776 | + | 0.837925i | ||||
\(335\) | 2.30116e21 | 0.792620 | ||||||||
\(336\) | 1.58527e21 | + | 4.78254e20i | 0.532376 | + | 0.160611i | ||||
\(337\) | 1.38343e21 | 0.453006 | 0.226503 | − | 0.974010i | \(-0.427271\pi\) | ||||
0.226503 | + | 0.974010i | \(0.427271\pi\) | |||||||
\(338\) | −1.31994e21 | + | 2.28621e21i | −0.421467 | + | 0.730002i | ||||
\(339\) | −1.32051e21 | − | 2.28719e21i | −0.411192 | − | 0.712205i | ||||
\(340\) | 8.47713e19 | + | 1.46828e20i | 0.0257441 | + | 0.0445901i | ||||
\(341\) | 1.35676e20 | − | 2.34998e20i | 0.0401875 | − | 0.0696067i | ||||
\(342\) | 2.74423e21 | 0.792864 | ||||||||
\(343\) | −2.26341e21 | − | 2.73244e21i | −0.637914 | − | 0.770107i | ||||
\(344\) | 5.41303e21 | 1.48831 | ||||||||
\(345\) | 8.82644e20 | − | 1.52878e21i | 0.236768 | − | 0.410094i | ||||
\(346\) | −1.22313e21 | − | 2.11853e21i | −0.320130 | − | 0.554482i | ||||
\(347\) | 3.41199e21 | + | 5.90973e21i | 0.871378 | + | 1.50927i | 0.860571 | + | 0.509330i | \(0.170107\pi\) |
0.0108067 | + | 0.999942i | \(0.496560\pi\) | |||||||
\(348\) | −4.99903e19 | + | 8.65858e19i | −0.0124584 | + | 0.0215786i | ||||
\(349\) | 2.58265e21 | 0.628130 | 0.314065 | − | 0.949402i | \(-0.398309\pi\) | ||||
0.314065 | + | 0.949402i | \(0.398309\pi\) | |||||||
\(350\) | 1.42190e21 | + | 4.28967e20i | 0.337513 | + | 0.101823i | ||||
\(351\) | −5.76655e21 | −1.33600 | ||||||||
\(352\) | 1.23984e20 | − | 2.14746e20i | 0.0280384 | − | 0.0485639i | ||||
\(353\) | −3.10974e21 | − | 5.38623e21i | −0.686498 | − | 1.18905i | −0.972964 | − | 0.230958i | \(-0.925814\pi\) |
0.286466 | − | 0.958090i | \(-0.407519\pi\) | |||||||
\(354\) | 1.10292e21 | + | 1.91031e21i | 0.237692 | + | 0.411695i | ||||
\(355\) | 3.24444e21 | − | 5.61953e21i | 0.682651 | − | 1.18239i | ||||
\(356\) | −3.07416e20 | −0.0631541 | ||||||||
\(357\) | 2.37363e21 | − | 2.22993e21i | 0.476137 | − | 0.447313i | ||||
\(358\) | 4.44855e20 | 0.0871390 | ||||||||
\(359\) | −3.08443e20 | + | 5.34240e20i | −0.0590028 | + | 0.102196i | −0.894018 | − | 0.448031i | \(-0.852125\pi\) |
0.835015 | + | 0.550227i | \(0.185459\pi\) | |||||||
\(360\) | −1.42252e21 | − | 2.46388e21i | −0.265759 | − | 0.460308i | ||||
\(361\) | −1.60972e21 | − | 2.78811e21i | −0.293723 | − | 0.508743i | ||||
\(362\) | −4.39573e21 | + | 7.61362e21i | −0.783444 | + | 1.35696i | ||||
\(363\) | −2.62232e21 | −0.456540 | ||||||||
\(364\) | −1.07572e20 | − | 4.58199e20i | −0.0182952 | − | 0.0779278i | ||||
\(365\) | −6.79847e20 | −0.112959 | ||||||||
\(366\) | 2.89162e21 | − | 5.00843e21i | 0.469409 | − | 0.813040i | ||||
\(367\) | 3.31072e21 | + | 5.73434e21i | 0.525123 | + | 0.909540i | 0.999572 | + | 0.0292569i | \(0.00931409\pi\) |
−0.474449 | + | 0.880283i | \(0.657353\pi\) | |||||||
\(368\) | −3.02943e21 | − | 5.24712e21i | −0.469520 | − | 0.813233i | ||||
\(369\) | 2.10756e20 | − | 3.65039e20i | 0.0319194 | − | 0.0552860i | ||||
\(370\) | −2.50806e21 | −0.371213 | ||||||||
\(371\) | 1.99812e21 | + | 8.51090e21i | 0.289030 | + | 1.23111i | ||||
\(372\) | −4.11595e19 | −0.00581910 | ||||||||
\(373\) | −3.62546e21 | + | 6.27948e21i | −0.501000 | + | 0.867758i | 0.498999 | + | 0.866603i | \(0.333701\pi\) |
−0.999999 | + | 0.00115565i | \(0.999632\pi\) | |||||||
\(374\) | 1.89766e21 | + | 3.28684e21i | 0.256336 | + | 0.443987i | ||||
\(375\) | 2.44184e21 | + | 4.22940e21i | 0.322442 | + | 0.558486i | ||||
\(376\) | 7.67846e20 | − | 1.32995e21i | 0.0991237 | − | 0.171687i | ||||
\(377\) | −7.77462e21 | −0.981245 | ||||||||
\(378\) | −5.60053e21 | + | 5.26149e21i | −0.691113 | + | 0.649274i | ||||
\(379\) | 1.02143e22 | 1.23246 | 0.616232 | − | 0.787564i | \(-0.288658\pi\) | ||||
0.616232 | + | 0.787564i | \(0.288658\pi\) | |||||||
\(380\) | −2.49461e20 | + | 4.32079e20i | −0.0294335 | + | 0.0509803i | ||||
\(381\) | 4.27413e21 | + | 7.40302e21i | 0.493158 | + | 0.854174i | ||||
\(382\) | −3.54562e21 | − | 6.14119e21i | −0.400086 | − | 0.692969i | ||||
\(383\) | 7.96976e21 | − | 1.38040e22i | 0.879541 | − | 1.52341i | 0.0276948 | − | 0.999616i | \(-0.491183\pi\) |
0.851846 | − | 0.523793i | \(-0.175483\pi\) | |||||||
\(384\) | 4.96097e21 | 0.535490 | ||||||||
\(385\) | 3.46906e21 | + | 1.04657e21i | 0.366265 | + | 0.110497i | ||||
\(386\) | −1.10430e22 | −1.14049 | ||||||||
\(387\) | −4.65102e21 | + | 8.05580e21i | −0.469899 | + | 0.813889i | ||||
\(388\) | 2.16008e20 | + | 3.74138e20i | 0.0213502 | + | 0.0369796i | ||||
\(389\) | −3.91270e21 | − | 6.77699e21i | −0.378360 | − | 0.655338i | 0.612464 | − | 0.790498i | \(-0.290178\pi\) |
−0.990824 | + | 0.135160i | \(0.956845\pi\) | |||||||
\(390\) | −3.31567e21 | + | 5.74291e21i | −0.313706 | + | 0.543354i | ||||
\(391\) | −1.19169e22 | −1.10321 | ||||||||
\(392\) | −9.44645e21 | − | 6.27043e21i | −0.855731 | − | 0.568023i | ||||
\(393\) | −4.47522e21 | −0.396714 | ||||||||
\(394\) | 5.60334e21 | − | 9.70527e21i | 0.486104 | − | 0.841956i | ||||
\(395\) | 7.15539e21 | + | 1.23935e22i | 0.607516 | + | 1.05225i | ||||
\(396\) | 1.09560e20 | + | 1.89764e20i | 0.00910426 | + | 0.0157690i | ||||
\(397\) | 7.30746e21 | − | 1.26569e22i | 0.594357 | − | 1.02946i | −0.399281 | − | 0.916829i | \(-0.630740\pi\) |
0.993637 | − | 0.112627i | \(-0.0359265\pi\) | |||||||
\(398\) | 6.28674e21 | 0.500518 | ||||||||
\(399\) | 9.17546e21 | + | 2.76811e21i | 0.715086 | + | 0.215732i | ||||
\(400\) | 4.46713e21 | 0.340815 | ||||||||
\(401\) | 4.81226e21 | − | 8.33508e21i | 0.359436 | − | 0.622562i | −0.628430 | − | 0.777866i | \(-0.716302\pi\) |
0.987867 | + | 0.155304i | \(0.0496357\pi\) | |||||||
\(402\) | −3.90681e21 | − | 6.76680e21i | −0.285694 | − | 0.494837i | ||||
\(403\) | −1.60031e21 | − | 2.77181e21i | −0.114580 | − | 0.198459i | ||||
\(404\) | −5.49351e20 | + | 9.51503e20i | −0.0385131 | + | 0.0667066i | ||||
\(405\) | 8.04278e20 | 0.0552126 | ||||||||
\(406\) | −7.55079e21 | + | 7.09368e21i | −0.507600 | + | 0.476870i | ||||
\(407\) | 3.49204e21 | 0.229894 | ||||||||
\(408\) | 5.20358e21 | − | 9.01287e21i | 0.335499 | − | 0.581101i | ||||
\(409\) | 1.34445e22 | + | 2.32866e22i | 0.848978 | + | 1.47047i | 0.882121 | + | 0.471023i | \(0.156115\pi\) |
−0.0331424 | + | 0.999451i | \(0.510551\pi\) | |||||||
\(410\) | −6.16053e20 | − | 1.06704e21i | −0.0381027 | − | 0.0659958i | ||||
\(411\) | 1.08452e21 | − | 1.87845e21i | 0.0657028 | − | 0.113801i | ||||
\(412\) | −2.42313e20 | −0.0143797 | ||||||||
\(413\) | −3.24933e21 | − | 1.38404e22i | −0.188894 | − | 0.804587i | ||||
\(414\) | 1.10618e22 | 0.629975 | ||||||||
\(415\) | 3.27751e21 | − | 5.67681e21i | 0.182867 | − | 0.316735i | ||||
\(416\) | −1.46240e21 | − | 2.53295e21i | −0.0799416 | − | 0.138463i | ||||
\(417\) | −1.24929e21 | − | 2.16384e21i | −0.0669125 | − | 0.115896i | ||||
\(418\) | −5.58433e21 | + | 9.67235e21i | −0.293071 | + | 0.507614i | ||||
\(419\) | 4.17261e21 | 0.214580 | 0.107290 | − | 0.994228i | \(-0.465783\pi\) | ||||
0.107290 | + | 0.994228i | \(0.465783\pi\) | |||||||
\(420\) | −1.25620e20 | − | 5.35075e20i | −0.00633055 | − | 0.0269647i | ||||
\(421\) | −1.26695e22 | −0.625695 | −0.312847 | − | 0.949803i | \(-0.601283\pi\) | ||||
−0.312847 | + | 0.949803i | \(0.601283\pi\) | |||||||
\(422\) | 9.41485e21 | − | 1.63070e22i | 0.455677 | − | 0.789256i | ||||
\(423\) | 1.31951e21 | + | 2.28545e21i | 0.0625919 | + | 0.108412i | ||||
\(424\) | 1.39681e22 | + | 2.41935e22i | 0.649425 | + | 1.12484i | ||||
\(425\) | 4.39309e21 | − | 7.60906e21i | 0.200200 | − | 0.346757i | ||||
\(426\) | −2.20331e22 | −0.984226 | ||||||||
\(427\) | −2.71656e22 | + | 2.55211e22i | −1.18955 | + | 1.11754i | ||||
\(428\) | 2.06423e21 | 0.0886108 | ||||||||
\(429\) | 4.61650e21 | − | 7.99601e21i | 0.194279 | − | 0.336501i | ||||
\(430\) | 1.35953e22 | + | 2.35477e22i | 0.560926 | + | 0.971552i | ||||
\(431\) | −6.87532e21 | − | 1.19084e22i | −0.278123 | − | 0.481723i | 0.692796 | − | 0.721134i | \(-0.256379\pi\) |
−0.970918 | + | 0.239411i | \(0.923046\pi\) | |||||||
\(432\) | −1.15564e22 | + | 2.00162e22i | −0.458363 | + | 0.793908i | ||||
\(433\) | −4.44706e22 | −1.72952 | −0.864760 | − | 0.502185i | \(-0.832530\pi\) | ||||
−0.864760 | + | 0.502185i | \(0.832530\pi\) | |||||||
\(434\) | −4.08328e21 | − | 1.23187e21i | −0.155721 | − | 0.0469789i | ||||
\(435\) | −9.07903e21 | −0.339532 | ||||||||
\(436\) | 6.68425e20 | − | 1.15775e21i | 0.0245142 | − | 0.0424598i | ||||
\(437\) | −1.75342e22 | − | 3.03701e22i | −0.630657 | − | 1.09233i | ||||
\(438\) | 1.15422e21 | + | 1.99916e21i | 0.0407153 | + | 0.0705210i | ||||
\(439\) | −1.16435e22 | + | 2.01671e22i | −0.402842 | + | 0.697743i | −0.994068 | − | 0.108763i | \(-0.965311\pi\) |
0.591225 | + | 0.806506i | \(0.298644\pi\) | |||||||
\(440\) | 1.15790e22 | 0.392936 | ||||||||
\(441\) | 1.74484e22 | − | 8.67071e21i | 0.580803 | − | 0.288620i | ||||
\(442\) | 4.47660e22 | 1.46170 | ||||||||
\(443\) | −1.95032e22 | + | 3.37804e22i | −0.624702 | + | 1.08202i | 0.363896 | + | 0.931440i | \(0.381446\pi\) |
−0.988598 | + | 0.150577i | \(0.951887\pi\) | |||||||
\(444\) | −2.64842e20 | − | 4.58720e20i | −0.00832208 | − | 0.0144143i | ||||
\(445\) | −1.39579e22 | − | 2.41758e22i | −0.430289 | − | 0.745282i | ||||
\(446\) | −8.83627e20 | + | 1.53049e21i | −0.0267253 | + | 0.0462896i | ||||
\(447\) | 1.72718e22 | 0.512535 | ||||||||
\(448\) | −3.45745e22 | − | 1.04307e22i | −1.00668 | − | 0.303703i | ||||
\(449\) | 2.68781e22 | 0.767901 | 0.383950 | − | 0.923354i | \(-0.374563\pi\) | ||||
0.383950 | + | 0.923354i | \(0.374563\pi\) | |||||||
\(450\) | −4.07787e21 | + | 7.06309e21i | −0.114321 | + | 0.198010i | ||||
\(451\) | 8.57747e20 | + | 1.48566e21i | 0.0235971 | + | 0.0408714i | ||||
\(452\) | 1.50440e21 | + | 2.60570e21i | 0.0406151 | + | 0.0703474i | ||||
\(453\) | −4.50676e21 | + | 7.80594e21i | −0.119407 | + | 0.206819i | ||||
\(454\) | 6.96125e22 | 1.81014 | ||||||||
\(455\) | 3.11494e22 | − | 2.92637e22i | 0.794975 | − | 0.746849i | ||||
\(456\) | 3.06257e22 | 0.767157 | ||||||||
\(457\) | 2.86655e22 | − | 4.96502e22i | 0.704810 | − | 1.22077i | −0.261950 | − | 0.965082i | \(-0.584365\pi\) |
0.966760 | − | 0.255686i | \(-0.0823012\pi\) | |||||||
\(458\) | −3.05402e22 | − | 5.28971e22i | −0.737081 | − | 1.27666i | ||||
\(459\) | 2.27297e22 | + | 3.93690e22i | 0.538500 | + | 0.932709i | ||||
\(460\) | −1.00556e21 | + | 1.74168e21i | −0.0233865 | + | 0.0405067i | ||||
\(461\) | 3.52330e21 | 0.0804436 | 0.0402218 | − | 0.999191i | \(-0.487194\pi\) | ||||
0.0402218 | + | 0.999191i | \(0.487194\pi\) | |||||||
\(462\) | −2.81209e21 | − | 1.19780e22i | −0.0630336 | − | 0.268489i | ||||
\(463\) | −5.80448e22 | −1.27739 | −0.638697 | − | 0.769458i | \(-0.720526\pi\) | ||||
−0.638697 | + | 0.769458i | \(0.720526\pi\) | |||||||
\(464\) | −1.55806e22 | + | 2.69864e22i | −0.336652 | + | 0.583099i | ||||
\(465\) | −1.86881e21 | − | 3.23687e21i | −0.0396473 | − | 0.0686712i | ||||
\(466\) | 8.72784e21 | + | 1.51171e22i | 0.181814 | + | 0.314911i | ||||
\(467\) | 1.65098e22 | − | 2.85958e22i | 0.337713 | − | 0.584936i | −0.646289 | − | 0.763092i | \(-0.723680\pi\) |
0.984002 | + | 0.178157i | \(0.0570134\pi\) | |||||||
\(468\) | 2.58455e21 | 0.0519152 | ||||||||
\(469\) | 1.15100e22 | + | 4.90263e22i | 0.227042 | + | 0.967074i | ||||
\(470\) | 7.71402e21 | 0.149434 | ||||||||
\(471\) | −2.98139e22 | + | 5.16392e22i | −0.567206 | + | 0.982430i | ||||
\(472\) | −2.27149e22 | − | 3.93434e22i | −0.424428 | − | 0.735132i | ||||
\(473\) | −1.89290e22 | − | 3.27860e22i | −0.347383 | − | 0.601685i | ||||
\(474\) | 2.42963e22 | − | 4.20824e22i | 0.437949 | − | 0.758551i | ||||
\(475\) | 2.58555e22 | 0.457781 | ||||||||
\(476\) | −2.70417e21 | + | 2.54047e21i | −0.0470300 | + | 0.0441829i | ||||
\(477\) | −4.80072e22 | −0.820162 | ||||||||
\(478\) | −1.07397e22 | + | 1.86017e22i | −0.180241 | + | 0.312187i | ||||
\(479\) | 2.55756e22 | + | 4.42983e22i | 0.421672 | + | 0.730357i | 0.996103 | − | 0.0881959i | \(-0.0281101\pi\) |
−0.574431 | + | 0.818553i | \(0.694777\pi\) | |||||||
\(480\) | −1.70776e21 | − | 2.95792e21i | −0.0276615 | − | 0.0479111i | ||||
\(481\) | 2.05944e22 | − | 3.56706e22i | 0.327731 | − | 0.567646i | ||||
\(482\) | −8.23586e22 | −1.28768 | ||||||||
\(483\) | 3.69856e22 | + | 1.11581e22i | 0.568176 | + | 0.171411i | ||||
\(484\) | 2.98750e21 | 0.0450943 | ||||||||
\(485\) | −1.96153e22 | + | 3.39746e22i | −0.290931 | + | 0.503907i | ||||
\(486\) | −3.38970e22 | − | 5.87114e22i | −0.494030 | − | 0.855686i | ||||
\(487\) | −9.91124e21 | − | 1.71668e22i | −0.141949 | − | 0.245863i | 0.786282 | − | 0.617868i | \(-0.212004\pi\) |
−0.928230 | + | 0.372006i | \(0.878670\pi\) | |||||||
\(488\) | −5.95538e22 | + | 1.03150e23i | −0.838188 | + | 1.45178i | ||||
\(489\) | 1.94638e21 | 0.0269217 | ||||||||
\(490\) | 3.55202e21 | − | 5.68425e22i | 0.0482846 | − | 0.772692i | ||||
\(491\) | −7.24176e22 | −0.967501 | −0.483751 | − | 0.875206i | \(-0.660726\pi\) | ||||
−0.483751 | + | 0.875206i | \(0.660726\pi\) | |||||||
\(492\) | 1.30106e20 | − | 2.25350e20i | 0.00170842 | − | 0.00295906i | ||||
\(493\) | 3.06448e22 | + | 5.30783e22i | 0.395510 | + | 0.685044i | ||||
\(494\) | 6.58676e22 | + | 1.14086e23i | 0.835589 | + | 1.44728i | ||||
\(495\) | −9.94895e21 | + | 1.72321e22i | −0.124060 | + | 0.214879i | ||||
\(496\) | −1.28283e22 | −0.157244 | ||||||||
\(497\) | 1.35953e23 | + | 4.10150e22i | 1.63817 | + | 0.494213i | ||||
\(498\) | −2.22577e22 | −0.263652 | ||||||||
\(499\) | 1.24514e22 | − | 2.15665e22i | 0.144999 | − | 0.251145i | −0.784374 | − | 0.620288i | \(-0.787016\pi\) |
0.929372 | + | 0.369143i | \(0.120349\pi\) | |||||||
\(500\) | −2.78189e21 | − | 4.81837e21i | −0.0318489 | − | 0.0551640i | ||||
\(501\) | −2.62598e22 | − | 4.54833e22i | −0.295577 | − | 0.511955i | ||||
\(502\) | −4.90445e21 | + | 8.49475e21i | −0.0542761 | + | 0.0940089i | ||||
\(503\) | 1.33942e23 | 1.45743 | 0.728715 | − | 0.684817i | \(-0.240118\pi\) | ||||
0.728715 | + | 0.684817i | \(0.240118\pi\) | |||||||
\(504\) | 4.53779e22 | − | 4.26308e22i | 0.485496 | − | 0.456105i | ||||
\(505\) | −9.97707e22 | −1.04961 | ||||||||
\(506\) | −2.25101e22 | + | 3.89886e22i | −0.232861 | + | 0.403328i | ||||
\(507\) | −2.53138e22 | − | 4.38448e22i | −0.257508 | − | 0.446016i | ||||
\(508\) | −4.86934e21 | − | 8.43395e21i | −0.0487112 | − | 0.0843702i | ||||
\(509\) | 4.22115e22 | − | 7.31125e22i | 0.415269 | − | 0.719267i | −0.580187 | − | 0.814483i | \(-0.697021\pi\) |
0.995457 | + | 0.0952155i | \(0.0303540\pi\) | |||||||
\(510\) | 5.22768e22 | 0.505781 | ||||||||
\(511\) | −3.40047e21 | − | 1.44842e22i | −0.0323565 | − | 0.137821i | ||||
\(512\) | −1.14670e23 | −1.07314 | ||||||||
\(513\) | −6.68877e22 | + | 1.15853e23i | −0.615671 | + | 1.06637i | ||||
\(514\) | −1.96034e22 | − | 3.39541e22i | −0.177478 | − | 0.307402i | ||||
\(515\) | −1.10020e22 | − | 1.90559e22i | −0.0979734 | − | 0.169695i | ||||
\(516\) | −2.87122e21 | + | 4.97309e21i | −0.0251503 | + | 0.0435616i | ||||
\(517\) | −1.07404e22 | −0.0925448 | ||||||||
\(518\) | −1.25449e22 | − | 5.34344e22i | −0.106332 | − | 0.452916i | ||||
\(519\) | 4.69144e22 | 0.391186 | ||||||||
\(520\) | 6.82874e22 | − | 1.18277e23i | 0.560160 | − | 0.970226i | ||||
\(521\) | −2.36147e22 | − | 4.09019e22i | −0.190573 | − | 0.330083i | 0.754867 | − | 0.655878i | \(-0.227701\pi\) |
−0.945440 | + | 0.325795i | \(0.894368\pi\) | |||||||
\(522\) | −2.84459e22 | − | 4.92698e22i | −0.225850 | − | 0.391185i | ||||
\(523\) | 1.02112e23 | − | 1.76864e23i | 0.797652 | − | 1.38157i | −0.123490 | − | 0.992346i | \(-0.539409\pi\) |
0.921142 | − | 0.389228i | \(-0.127258\pi\) | |||||||
\(524\) | 5.09843e21 | 0.0391851 | ||||||||
\(525\) | −2.07591e22 | + | 1.95024e22i | −0.156984 | + | 0.147480i | ||||
\(526\) | 2.11529e23 | 1.57395 | ||||||||
\(527\) | −1.26157e22 | + | 2.18510e22i | −0.0923679 | + | 0.159986i | ||||
\(528\) | −1.85033e22 | − | 3.20486e22i | −0.133309 | − | 0.230898i | ||||
\(529\) | −1.54099e20 | − | 2.66907e20i | −0.00109251 | − | 0.00189229i | ||||
\(530\) | −7.01642e22 | + | 1.21528e23i | −0.489520 | + | 0.847874i | ||||
\(531\) | 7.80691e22 | 0.536013 | ||||||||
\(532\) | −1.04532e22 | − | 3.15359e21i | −0.0706319 | − | 0.0213087i | ||||
\(533\) | 2.02344e22 | 0.134558 | ||||||||
\(534\) | −4.73944e22 | + | 8.20894e22i | −0.310189 | + | 0.537263i | ||||
\(535\) | 9.37243e22 | + | 1.62335e23i | 0.603733 | + | 1.04570i | ||||
\(536\) | 8.04622e22 | + | 1.39365e23i | 0.510142 | + | 0.883592i | ||||
\(537\) | −4.26570e21 | + | 7.38841e21i | −0.0266201 | + | 0.0461073i | ||||
\(538\) | −2.23521e23 | −1.37300 | ||||||||
\(539\) | −4.94557e21 | + | 7.91433e22i | −0.0299028 | + | 0.478530i | ||||
\(540\) | 7.67182e21 | 0.0456616 | ||||||||
\(541\) | 5.28973e22 | − | 9.16208e22i | 0.309925 | − | 0.536806i | −0.668421 | − | 0.743784i | \(-0.733029\pi\) |
0.978346 | + | 0.206977i | \(0.0663627\pi\) | |||||||
\(542\) | 5.16922e22 | + | 8.95334e22i | 0.298147 | + | 0.516406i | ||||
\(543\) | −8.43010e22 | − | 1.46014e23i | −0.478668 | − | 0.829077i | ||||
\(544\) | −1.15285e22 | + | 1.99680e22i | −0.0644441 | + | 0.111620i | ||||
\(545\) | 1.21396e23 | 0.668091 | ||||||||
\(546\) | −1.38937e23 | − | 4.19155e22i | −0.752804 | − | 0.227111i | ||||
\(547\) | −2.21065e22 | −0.117931 | −0.0589655 | − | 0.998260i | \(-0.518780\pi\) | ||||
−0.0589655 | + | 0.998260i | \(0.518780\pi\) | |||||||
\(548\) | −1.23555e21 | + | 2.14004e21i | −0.00648973 | + | 0.0112405i | ||||
\(549\) | −1.02340e23 | − | 1.77259e23i | −0.529276 | − | 0.916733i | ||||
\(550\) | −1.65964e22 | − | 2.87458e22i | −0.0845145 | − | 0.146383i | ||||
\(551\) | −9.01799e22 | + | 1.56196e23i | −0.452190 | + | 0.783216i | ||||
\(552\) | 1.23450e23 | 0.609549 | ||||||||
\(553\) | −2.28254e23 | + | 2.14436e23i | −1.10983 | + | 1.04264i | ||||
\(554\) | 9.22189e22 | 0.441557 | ||||||||
\(555\) | 2.40497e22 | − | 4.16554e22i | 0.113402 | − | 0.196418i | ||||
\(556\) | 1.42327e21 | + | 2.46517e21i | 0.00660922 | + | 0.0114475i | ||||
\(557\) | 1.49386e23 | + | 2.58743e23i | 0.683187 | + | 1.18331i | 0.974003 | + | 0.226535i | \(0.0727399\pi\) |
−0.290816 | + | 0.956779i | \(0.593927\pi\) | |||||||
\(558\) | 1.17105e22 | − | 2.02832e22i | 0.0527453 | − | 0.0913576i | ||||
\(559\) | −4.46539e23 | −1.98088 | ||||||||
\(560\) | −3.91524e22 | − | 1.66768e23i | −0.171065 | − | 0.728643i | ||||
\(561\) | −7.27864e22 | −0.313232 | ||||||||
\(562\) | 3.96656e22 | − | 6.87028e22i | 0.168134 | − | 0.291216i | ||||
\(563\) | −1.10240e23 | − | 1.90942e23i | −0.460276 | − | 0.797222i | 0.538698 | − | 0.842499i | \(-0.318916\pi\) |
−0.998974 | + | 0.0452767i | \(0.985583\pi\) | |||||||
\(564\) | 8.14572e20 | + | 1.41088e21i | 0.00335009 | + | 0.00580253i | ||||
\(565\) | −1.36612e23 | + | 2.36618e23i | −0.553447 | + | 0.958598i | ||||
\(566\) | −1.53039e23 | −0.610749 | ||||||||
\(567\) | 4.02286e21 | + | 1.71352e22i | 0.0158153 | + | 0.0673648i | ||||
\(568\) | 4.53780e23 | 1.75746 | ||||||||
\(569\) | 8.59154e22 | − | 1.48810e23i | 0.327806 | − | 0.567776i | −0.654270 | − | 0.756261i | \(-0.727024\pi\) |
0.982076 | + | 0.188484i | \(0.0603575\pi\) | |||||||
\(570\) | 7.69188e22 | + | 1.33227e23i | 0.289132 | + | 0.500791i | ||||
\(571\) | −1.35596e23 | − | 2.34859e23i | −0.502158 | − | 0.869763i | −0.999997 | − | 0.00249343i | \(-0.999206\pi\) |
0.497839 | − | 0.867269i | \(-0.334127\pi\) | |||||||
\(572\) | −5.25938e21 | + | 9.10952e21i | −0.0191897 | + | 0.0332376i | ||||
\(573\) | 1.35995e23 | 0.488889 | ||||||||
\(574\) | 1.96519e22 | − | 1.84622e22i | 0.0696069 | − | 0.0653931i | ||||
\(575\) | 1.04222e23 | 0.363732 | ||||||||
\(576\) | 9.91565e22 | − | 1.71744e23i | 0.340981 | − | 0.590596i | ||||
\(577\) | 1.91479e23 | + | 3.31652e23i | 0.648824 | + | 1.12380i | 0.983404 | + | 0.181429i | \(0.0580723\pi\) |
−0.334580 | + | 0.942367i | \(0.608594\pi\) | |||||||
\(578\) | −3.11557e22 | − | 5.39633e22i | −0.104028 | − | 0.180182i | ||||
\(579\) | 1.05891e23 | − | 1.83408e23i | 0.348409 | − | 0.603463i | ||||
\(580\) | 1.03434e22 | 0.0335370 | ||||||||
\(581\) | 1.37338e23 | + | 4.14331e22i | 0.438828 | + | 0.132388i | ||||
\(582\) | 1.33208e23 | 0.419455 | ||||||||
\(583\) | 9.76914e22 | − | 1.69207e23i | 0.303161 | − | 0.525091i | ||||
\(584\) | −2.37715e22 | − | 4.11735e22i | −0.0727022 | − | 0.125924i | ||||
\(585\) | 1.17349e23 | + | 2.03254e23i | 0.353715 | + | 0.612652i | ||||
\(586\) | −9.08554e21 | + | 1.57366e22i | −0.0269911 | + | 0.0467500i | ||||
\(587\) | −5.78587e22 | −0.169412 | −0.0847061 | − | 0.996406i | \(-0.526995\pi\) | ||||
−0.0847061 | + | 0.996406i | \(0.526995\pi\) | |||||||
\(588\) | 1.07715e22 | − | 5.35270e21i | 0.0310862 | − | 0.0154478i | ||||
\(589\) | −7.42496e22 | −0.211210 | ||||||||
\(590\) | 1.14101e23 | − | 1.97628e23i | 0.319923 | − | 0.554124i | ||||
\(591\) | 1.07461e23 | + | 1.86127e23i | 0.296999 | + | 0.514418i | ||||
\(592\) | −8.25440e22 | − | 1.42970e23i | −0.224880 | − | 0.389504i | ||||
\(593\) | 2.89830e23 | − | 5.02001e23i | 0.778357 | − | 1.34815i | −0.154531 | − | 0.987988i | \(-0.549387\pi\) |
0.932888 | − | 0.360167i | \(-0.117280\pi\) | |||||||
\(594\) | 1.71738e23 | 0.454656 | ||||||||
\(595\) | −3.22567e23 | − | 9.73141e22i | −0.841833 | − | 0.253970i | ||||
\(596\) | −1.96770e22 | −0.0506252 | ||||||||
\(597\) | −6.02834e22 | + | 1.04414e23i | −0.152903 | + | 0.264836i | ||||
\(598\) | 2.65508e23 | + | 4.59873e23i | 0.663922 | + | 1.14995i | ||||
\(599\) | −3.66750e23 | − | 6.35229e23i | −0.904153 | − | 1.56604i | −0.822051 | − | 0.569414i | \(-0.807170\pi\) |
−0.0821020 | − | 0.996624i | \(-0.526163\pi\) | |||||||
\(600\) | −4.55091e22 | + | 7.88241e22i | −0.110615 | + | 0.191590i | ||||
\(601\) | −3.70541e23 | −0.887979 | −0.443990 | − | 0.896032i | \(-0.646437\pi\) | ||||
−0.443990 | + | 0.896032i | \(0.646437\pi\) | |||||||
\(602\) | −4.33683e23 | + | 4.07429e23i | −1.02471 | + | 0.962679i | ||||
\(603\) | −2.76541e23 | −0.644261 | ||||||||
\(604\) | 5.13436e21 | − | 8.89298e21i | 0.0117943 | − | 0.0204284i | ||||
\(605\) | 1.35644e23 | + | 2.34943e23i | 0.307242 | + | 0.532159i | ||||
\(606\) | 1.69387e23 | + | 2.93387e23i | 0.378323 | + | 0.655274i | ||||
\(607\) | 5.73587e22 | − | 9.93482e22i | 0.126327 | − | 0.218804i | −0.795924 | − | 0.605397i | \(-0.793015\pi\) |
0.922251 | + | 0.386592i | \(0.126348\pi\) | |||||||
\(608\) | −6.78511e22 | −0.147359 | ||||||||
\(609\) | −4.54117e22 | − | 1.93429e23i | −0.0972570 | − | 0.414262i | ||||
\(610\) | −5.98296e23 | −1.26361 | ||||||||
\(611\) | −6.33421e22 | + | 1.09712e23i | −0.131930 | + | 0.228509i | ||||
\(612\) | −1.01874e22 | − | 1.76450e22i | −0.0209255 | − | 0.0362440i | ||||
\(613\) | 2.07779e23 | + | 3.59884e23i | 0.420908 | + | 0.729035i | 0.996029 | − | 0.0890343i | \(-0.0283781\pi\) |
−0.575120 | + | 0.818069i | \(0.695045\pi\) | |||||||
\(614\) | −3.77258e22 | + | 6.53430e22i | −0.0753715 | + | 0.130547i | ||||
\(615\) | 2.36293e22 | 0.0465599 | ||||||||
\(616\) | 5.79159e22 | + | 2.46691e23i | 0.112554 | + | 0.479420i | ||||
\(617\) | −1.53976e23 | −0.295141 | −0.147571 | − | 0.989052i | \(-0.547145\pi\) | ||||
−0.147571 | + | 0.989052i | \(0.547145\pi\) | |||||||
\(618\) | −3.73574e22 | + | 6.47049e22i | −0.0706276 | + | 0.122331i | ||||
\(619\) | 2.04273e23 | + | 3.53812e23i | 0.380927 | + | 0.659784i | 0.991195 | − | 0.132411i | \(-0.0422717\pi\) |
−0.610268 | + | 0.792195i | \(0.708938\pi\) | |||||||
\(620\) | 2.12905e21 | + | 3.68763e21i | 0.00391613 | + | 0.00678293i | ||||
\(621\) | −2.69620e23 | + | 4.66995e23i | −0.489185 | + | 0.847294i | ||||
\(622\) | 3.05489e23 | 0.546735 | ||||||||
\(623\) | 4.45252e23 | − | 4.18297e23i | 0.786062 | − | 0.738476i | ||||
\(624\) | −4.36495e23 | −0.760169 | ||||||||
\(625\) | 1.46873e23 | − | 2.54391e23i | 0.252326 | − | 0.437041i | ||||
\(626\) | −3.42681e23 | − | 5.93540e23i | −0.580775 | − | 1.00593i | ||||
\(627\) | −1.07096e23 | − | 1.85496e23i | −0.179060 | − | 0.310142i | ||||
\(628\) | 3.39657e22 | − | 5.88304e22i | 0.0560253 | − | 0.0970386i | ||||
\(629\) | −3.24704e23 | −0.528393 | ||||||||
\(630\) | 2.99422e23 | + | 9.03316e22i | 0.480717 | + | 0.145026i | ||||
\(631\) | 9.38758e23 | 1.48698 | 0.743489 | − | 0.668749i | \(-0.233170\pi\) | ||||
0.743489 | + | 0.668749i | \(0.233170\pi\) | |||||||
\(632\) | −5.00390e23 | + | 8.66701e23i | −0.782012 | + | 1.35449i | ||||
\(633\) | 1.80558e23 | + | 3.12735e23i | 0.278409 | + | 0.482219i | ||||
\(634\) | −4.68416e23 | − | 8.11321e23i | −0.712645 | − | 1.23434i | ||||
\(635\) | 4.42175e23 | − | 7.65869e23i | 0.663769 | − | 1.14968i | ||||
\(636\) | −2.96363e22 | −0.0438974 | ||||||||
\(637\) | 7.79269e23 | + | 5.17269e23i | 1.13894 | + | 0.756016i | ||||
\(638\) | 2.31542e23 | 0.333930 | ||||||||
\(639\) | −3.89899e23 | + | 6.75326e23i | −0.554875 | + | 0.961072i | ||||
\(640\) | −2.56615e23 | − | 4.44471e23i | −0.360373 | − | 0.624185i | ||||
\(641\) | 3.68348e23 | + | 6.37997e23i | 0.510463 | + | 0.884148i | 0.999926 | + | 0.0121244i | \(0.00385940\pi\) |
−0.489463 | + | 0.872024i | \(0.662807\pi\) | |||||||
\(642\) | 3.18243e23 | − | 5.51213e23i | 0.435222 | − | 0.753827i | ||||
\(643\) | 3.74387e23 | 0.505275 | 0.252638 | − | 0.967561i | \(-0.418702\pi\) | ||||
0.252638 | + | 0.967561i | \(0.418702\pi\) | |||||||
\(644\) | −4.21362e22 | − | 1.27119e22i | −0.0561210 | − | 0.0169309i | ||||
\(645\) | −5.21458e23 | −0.685428 | ||||||||
\(646\) | 5.19253e23 | − | 8.99373e23i | 0.673601 | − | 1.16671i | ||||
\(647\) | −2.66734e23 | − | 4.61997e23i | −0.341501 | − | 0.591498i | 0.643210 | − | 0.765690i | \(-0.277602\pi\) |
−0.984712 | + | 0.174192i | \(0.944269\pi\) | |||||||
\(648\) | 2.81224e22 | + | 4.87093e22i | 0.0355356 | + | 0.0615495i | ||||
\(649\) | −1.58865e23 | + | 2.75163e23i | −0.198130 | + | 0.343171i | ||||
\(650\) | −3.91512e23 | −0.481927 | ||||||||
\(651\) | 5.96142e22 | − | 5.60052e22i | 0.0724287 | − | 0.0680440i | ||||
\(652\) | −2.21743e21 | −0.00265916 | ||||||||
\(653\) | 2.80024e23 | − | 4.85016e23i | 0.331462 | − | 0.574109i | −0.651337 | − | 0.758789i | \(-0.725791\pi\) |
0.982799 | + | 0.184680i | \(0.0591248\pi\) | |||||||
\(654\) | −2.06102e23 | − | 3.56980e23i | −0.240809 | − | 0.417093i | ||||
\(655\) | 2.31489e23 | + | 4.00950e23i | 0.266980 | + | 0.462423i | ||||
\(656\) | 4.05505e22 | − | 7.02354e22i | 0.0461650 | − | 0.0799602i | ||||
\(657\) | 8.17004e22 | 0.0918160 | ||||||||
\(658\) | 3.85842e22 | + | 1.64348e23i | 0.0428045 | + | 0.182324i | ||||
\(659\) | −2.69931e23 | −0.295615 | −0.147807 | − | 0.989016i | \(-0.547222\pi\) | ||||
−0.147807 | + | 0.989016i | \(0.547222\pi\) | |||||||
\(660\) | −6.14180e21 | + | 1.06379e22i | −0.00664006 | + | 0.0115009i | ||||
\(661\) | −3.87591e23 | − | 6.71328e23i | −0.413677 | − | 0.716510i | 0.581611 | − | 0.813467i | \(-0.302422\pi\) |
−0.995289 | + | 0.0969569i | \(0.969089\pi\) | |||||||
\(662\) | −4.62948e22 | − | 8.01850e22i | −0.0487798 | − | 0.0844890i | ||||
\(663\) | −4.29261e23 | + | 7.43501e23i | −0.446535 | + | 0.773422i | ||||
\(664\) | 4.58405e23 | 0.470783 | ||||||||
\(665\) | −2.26613e23 | − | 9.65247e23i | −0.229774 | − | 0.978711i | ||||
\(666\) | 3.01406e23 | 0.301731 | ||||||||
\(667\) | −3.63509e23 | + | 6.29616e23i | −0.359290 | + | 0.622309i | ||||
\(668\) | 2.99167e22 | + | 5.18173e22i | 0.0291954 | + | 0.0505679i | ||||
\(669\) | −1.69462e22 | − | 2.93516e22i | −0.0163286 | − | 0.0282820i | ||||
\(670\) | −4.04174e23 | + | 7.00050e23i | −0.384532 | + | 0.666029i | ||||
\(671\) | 8.33024e23 | 0.782557 | ||||||||
\(672\) | 5.44768e22 | − | 5.11789e22i | 0.0505328 | − | 0.0474736i | ||||
\(673\) | 1.04442e24 | 0.956635 | 0.478318 | − | 0.878187i | \(-0.341247\pi\) | ||||
0.478318 | + | 0.878187i | \(0.341247\pi\) | |||||||
\(674\) | −2.42986e23 | + | 4.20864e23i | −0.219772 | + | 0.380656i | ||||
\(675\) | −1.98788e23 | − | 3.44310e23i | −0.177545 | − | 0.307516i | ||||
\(676\) | 2.88390e22 | + | 4.99506e22i | 0.0254351 | + | 0.0440548i | ||||
\(677\) | −1.13538e23 | + | 1.96653e23i | −0.0988864 | + | 0.171276i | −0.911224 | − | 0.411911i | \(-0.864861\pi\) |
0.812338 | + | 0.583187i | \(0.198195\pi\) | |||||||
\(678\) | 9.27736e23 | 0.797943 | ||||||||
\(679\) | −8.21944e23 | − | 2.47969e23i | −0.698150 | − | 0.210622i | ||||
\(680\) | −1.07666e24 | −0.903134 | ||||||||
\(681\) | −6.67512e23 | + | 1.15617e24i | −0.552979 | + | 0.957788i | ||||
\(682\) | 4.76601e22 | + | 8.25498e22i | 0.0389931 | + | 0.0675381i | ||||
\(683\) | 6.98898e23 | + | 1.21053e24i | 0.564726 | + | 0.978134i | 0.997075 | + | 0.0764275i | \(0.0243514\pi\) |
−0.432349 | + | 0.901706i | \(0.642315\pi\) | |||||||
\(684\) | 2.99789e22 | − | 5.19249e22i | 0.0239243 | − | 0.0414380i | ||||
\(685\) | −2.24396e23 | −0.176866 | ||||||||
\(686\) | 1.22880e24 | − | 2.08640e23i | 0.956590 | − | 0.162421i | ||||
\(687\) | 1.17140e24 | 0.900682 | ||||||||
\(688\) | −8.94880e23 | + | 1.54998e24i | −0.679615 | + | 1.17713i | ||||
\(689\) | −1.15228e24 | − | 1.99580e24i | −0.864358 | − | 1.49711i | ||||
\(690\) | 3.10054e23 | + | 5.37030e23i | 0.229731 | + | 0.397907i | ||||
\(691\) | −5.58627e23 | + | 9.67570e23i | −0.408845 | + | 0.708140i | −0.994761 | − | 0.102232i | \(-0.967402\pi\) |
0.585916 | + | 0.810372i | \(0.300735\pi\) | |||||||
\(692\) | −5.34476e22 | −0.0386390 | ||||||||
\(693\) | −4.16893e23 | − | 1.25771e23i | −0.297709 | − | 0.0898149i | ||||
\(694\) | −2.39712e24 | −1.69096 | ||||||||
\(695\) | −1.29244e23 | + | 2.23857e23i | −0.0900614 | + | 0.155991i | ||||
\(696\) | −3.17457e23 | − | 5.49852e23i | −0.218528 | − | 0.378501i | ||||
\(697\) | −7.97568e22 | − | 1.38143e23i | −0.0542362 | − | 0.0939398i | ||||
\(698\) | −4.53615e23 | + | 7.85685e23i | −0.304731 | + | 0.527810i | ||||
\(699\) | −3.34764e23 | −0.222169 | ||||||||
\(700\) | 2.36500e22 | − | 2.22182e22i | 0.0155059 | − | 0.0145672i | ||||
\(701\) | 6.20491e23 | 0.401913 | 0.200957 | − | 0.979600i | \(-0.435595\pi\) | ||||
0.200957 | + | 0.979600i | \(0.435595\pi\) | |||||||
\(702\) | 1.01283e24 | − | 1.75428e24i | 0.648146 | − | 1.12262i | ||||
\(703\) | −4.77761e23 | − | 8.27506e23i | −0.302058 | − | 0.523180i | ||||
\(704\) | 4.03554e23 | + | 6.98976e23i | 0.252077 | + | 0.436611i | ||||
\(705\) | −7.39696e22 | + | 1.28119e23i | −0.0456505 | + | 0.0790690i | ||||
\(706\) | 2.18477e24 | 1.33219 | ||||||||
\(707\) | −4.99036e23 | − | 2.12562e24i | −0.300654 | − | 1.28062i | ||||
\(708\) | 4.81944e22 | 0.0286889 | ||||||||
\(709\) | 4.01310e23 | − | 6.95090e23i | 0.236041 | − | 0.408835i | −0.723534 | − | 0.690289i | \(-0.757483\pi\) |
0.959575 | + | 0.281454i | \(0.0908167\pi\) | |||||||
\(710\) | 1.13970e24 | + | 1.97402e24i | 0.662363 | + | 1.14725i | ||||
\(711\) | −8.59897e23 | − | 1.48938e24i | −0.493804 | − | 0.855294i | ||||
\(712\) | 9.76103e23 | − | 1.69066e24i | 0.553880 | − | 0.959348i | ||||
\(713\) | −2.99295e23 | −0.167818 | ||||||||
\(714\) | 2.61479e23 | + | 1.11376e24i | 0.144878 | + | 0.617102i | ||||
\(715\) | −9.55187e23 | −0.522982 | ||||||||
\(716\) | 4.85974e21 | − | 8.41731e21i | 0.00262937 | − | 0.00455421i | ||||
\(717\) | −2.05965e23 | − | 3.56742e23i | −0.110124 | − | 0.190740i | ||||
\(718\) | −1.08350e23 | − | 1.87667e23i | −0.0572493 | − | 0.0991587i | ||||
\(719\) | −7.93157e23 | + | 1.37379e24i | −0.414156 | + | 0.717339i | −0.995339 | − | 0.0964335i | \(-0.969256\pi\) |
0.581184 | + | 0.813772i | \(0.302590\pi\) | |||||||
\(720\) | 9.40684e23 | 0.485420 | ||||||||
\(721\) | 3.50958e23 | − | 3.29712e23i | 0.178980 | − | 0.168145i | ||||
\(722\) | 1.13092e24 | 0.569988 | ||||||||
\(723\) | 7.89734e23 | − | 1.36786e24i | 0.393374 | − | 0.681344i | ||||
\(724\) | 9.60407e22 | + | 1.66347e23i | 0.0472800 | + | 0.0818913i | ||||
\(725\) | −2.68011e23 | − | 4.64209e23i | −0.130401 | − | 0.225861i | ||||
\(726\) | 4.60583e23 | − | 7.97753e23i | 0.221486 | − | 0.383625i | ||||
\(727\) | −8.99415e23 | −0.427482 | −0.213741 | − | 0.976890i | \(-0.568565\pi\) | ||||
−0.213741 | + | 0.976890i | \(0.568565\pi\) | |||||||
\(728\) | 2.86146e24 | + | 8.63265e23i | 1.34422 | + | 0.405534i | ||||
\(729\) | 1.15112e24 | 0.534488 | ||||||||
\(730\) | 1.19408e23 | − | 2.06821e23i | 0.0548011 | − | 0.0949183i | ||||
\(731\) | 1.76010e24 | + | 3.04858e24i | 0.798434 | + | 1.38293i | ||||
\(732\) | −6.31779e22 | − | 1.09427e23i | −0.0283283 | − | 0.0490661i | ||||
\(733\) | 4.79871e23 | − | 8.31161e23i | 0.212687 | − | 0.368385i | −0.739868 | − | 0.672753i | \(-0.765112\pi\) |
0.952555 | + | 0.304368i | \(0.0984452\pi\) | |||||||
\(734\) | −2.32598e24 | −1.01903 | ||||||||
\(735\) | 9.10013e23 | + | 6.04055e23i | 0.394099 | + | 0.261598i | ||||
\(736\) | −2.73503e23 | −0.117085 | ||||||||
\(737\) | 5.62742e23 | − | 9.74698e23i | 0.238142 | − | 0.412474i | ||||
\(738\) | 7.40340e22 | + | 1.28231e23i | 0.0309708 | + | 0.0536430i | ||||
\(739\) | 1.41321e24 | + | 2.44776e24i | 0.584427 | + | 1.01226i | 0.994947 | + | 0.100405i | \(0.0320138\pi\) |
−0.410520 | + | 0.911852i | \(0.634653\pi\) | |||||||
\(740\) | −2.73989e22 | + | 4.74562e22i | −0.0112012 | + | 0.0194010i | ||||
\(741\) | −2.52641e24 | −1.02106 | ||||||||
\(742\) | −2.94011e24 | − | 8.86990e23i | −1.17471 | − | 0.354393i | ||||
\(743\) | 5.12221e23 | 0.202326 | 0.101163 | − | 0.994870i | \(-0.467744\pi\) | ||||
0.101163 | + | 0.994870i | \(0.467744\pi\) | |||||||
\(744\) | 1.30689e23 | − | 2.26360e23i | 0.0510352 | − | 0.0883955i | ||||
\(745\) | −8.93415e23 | − | 1.54744e24i | −0.344925 | − | 0.597428i | ||||
\(746\) | −1.27355e24 | − | 2.20585e24i | −0.486111 | − | 0.841969i | ||||
\(747\) | −3.93874e23 | + | 6.82209e23i | −0.148639 | + | 0.257450i | ||||
\(748\) | 8.29225e22 | 0.0309392 | ||||||||
\(749\) | −2.98977e24 | + | 2.80877e24i | −1.10292 | + | 1.03615i | ||||
\(750\) | −1.71554e24 | −0.625719 | ||||||||
\(751\) | −1.27581e24 | + | 2.20977e24i | −0.460094 | + | 0.796906i | −0.998965 | − | 0.0454821i | \(-0.985518\pi\) |
0.538871 | + | 0.842388i | \(0.318851\pi\) | |||||||
\(752\) | 2.53880e23 | + | 4.39733e23i | 0.0905267 | + | 0.156797i | ||||
\(753\) | −9.40573e22 | − | 1.62912e23i | −0.0331616 | − | 0.0574375i | ||||
\(754\) | 1.36553e24 | − | 2.36517e24i | 0.476042 | − | 0.824528i | ||||
\(755\) | 9.32481e23 | 0.321433 | ||||||||
\(756\) | 3.83731e22 | + | 1.63449e23i | 0.0130795 | + | 0.0557116i | ||||
\(757\) | −2.71960e24 | −0.916620 | −0.458310 | − | 0.888792i | \(-0.651545\pi\) | ||||
−0.458310 | + | 0.888792i | \(0.651545\pi\) | |||||||
\(758\) | −1.79403e24 | + | 3.10735e24i | −0.597918 | + | 1.03563i | ||||
\(759\) | −4.31697e23 | − | 7.47721e23i | −0.142273 | − | 0.246425i | ||||
\(760\) | −1.58417e24 | − | 2.74386e24i | −0.516280 | − | 0.894224i | ||||
\(761\) | 1.52735e24 | − | 2.64545e24i | 0.492231 | − | 0.852569i | −0.507729 | − | 0.861517i | \(-0.669515\pi\) |
0.999960 | + | 0.00894781i | \(0.00284821\pi\) | |||||||
\(762\) | −3.00283e24 | −0.957003 | ||||||||
\(763\) | 6.07204e23 | + | 2.58636e24i | 0.191371 | + | 0.815136i | ||||
\(764\) | −1.54934e23 | −0.0482895 | ||||||||
\(765\) | 9.25093e23 | − | 1.60231e24i | 0.285143 | − | 0.493883i | ||||
\(766\) | 2.79961e24 | + | 4.84907e24i | 0.853401 | + | 1.47813i | ||||
\(767\) | 1.87383e24 | + | 3.24557e24i | 0.564897 | + | 0.978431i | ||||
\(768\) | 1.74033e23 | − | 3.01434e23i | 0.0518873 | − | 0.0898715i | ||||
\(769\) | 2.84393e24 | 0.838582 | 0.419291 | − | 0.907852i | \(-0.362279\pi\) | ||||
0.419291 | + | 0.907852i | \(0.362279\pi\) | |||||||
\(770\) | −9.27688e23 | + | 8.71527e23i | −0.270540 | + | 0.254162i | ||||
\(771\) | 7.51908e23 | 0.216871 | ||||||||
\(772\) | −1.20637e23 | + | 2.08949e23i | −0.0344138 | + | 0.0596065i | ||||
\(773\) | 1.68100e24 | + | 2.91158e24i | 0.474288 | + | 0.821490i | 0.999567 | − | 0.0294399i | \(-0.00937237\pi\) |
−0.525279 | + | 0.850930i | \(0.676039\pi\) | |||||||
\(774\) | −1.63381e24 | − | 2.82983e24i | −0.455934 | − | 0.789701i | ||||
\(775\) | 1.10333e23 | − | 1.91103e23i | 0.0304539 | − | 0.0527477i | ||||
\(776\) | −2.74347e24 | −0.748989 | ||||||||
\(777\) | 1.00776e24 | + | 3.04028e23i | 0.272132 | + | 0.0820985i | ||||
\(778\) | 2.74890e24 | 0.734230 | ||||||||
\(779\) | 2.34704e23 | − | 4.06520e23i | 0.0620087 | − | 0.107402i | ||||
\(780\) | 7.24429e22 | + | 1.25475e23i | 0.0189318 | + | 0.0327908i | ||||
\(781\) | −1.58684e24 | − | 2.74849e24i | −0.410203 | − | 0.710493i | ||||
\(782\) | 2.09308e24 | − | 3.62531e24i | 0.535214 | − | 0.927018i | ||||
\(783\) | 2.77336e24 | 0.701505 | ||||||||
\(784\) | 3.35717e24 | − | 1.66829e24i | 0.840015 | − | 0.417431i | ||||
\(785\) | 6.16871e24 | 1.52687 | ||||||||
\(786\) | 7.86026e23 | − | 1.36144e24i | 0.192462 | − | 0.333354i | ||||
\(787\) | −5.70589e23 | − | 9.88289e23i | −0.138210 | − | 0.239386i | 0.788609 | − | 0.614894i | \(-0.210801\pi\) |
−0.926819 | + | 0.375509i | \(0.877468\pi\) | |||||||
\(788\) | −1.22425e23 | − | 2.12047e23i | −0.0293358 | − | 0.0508112i | ||||
\(789\) | −2.02834e24 | + | 3.51320e24i | −0.480825 | + | 0.832813i | ||||
\(790\) | −5.02708e24 | −1.17892 | ||||||||
\(791\) | −5.72447e24 | − | 1.72699e24i | −1.32811 | − | 0.400674i | ||||
\(792\) | −1.39150e24 | −0.319388 | ||||||||
\(793\) | 4.91279e24 | − | 8.50920e24i | 1.11559 | − | 1.93227i | ||||
\(794\) | 2.56696e24 | + | 4.44610e24i | 0.576693 | + | 0.998861i | ||||
\(795\) | −1.34561e24 | − | 2.33066e24i | −0.299087 | − | 0.518033i | ||||
\(796\) | 6.86784e22 | − | 1.18954e23i | 0.0151029 | − | 0.0261589i | ||||
\(797\) | −2.54880e23 | −0.0554549 | −0.0277274 | − | 0.999616i | \(-0.508827\pi\) | ||||
−0.0277274 | + | 0.999616i | \(0.508827\pi\) | |||||||
\(798\) | −2.45368e24 | + | 2.30514e24i | −0.528194 | + | 0.496218i | ||||
\(799\) | 9.98689e23 | 0.212707 | ||||||||
\(800\) | 1.00825e23 | − | 1.74635e23i | 0.0212474 | − | 0.0368015i | ||||
\(801\) | 1.67739e24 | + | 2.90532e24i | 0.349749 | + | 0.605783i | ||||
\(802\) | 1.69045e24 | + | 2.92794e24i | 0.348754 | + | 0.604060i | ||||
\(803\) | −1.66255e23 | + | 2.87962e23i | −0.0339385 | + | 0.0587832i | ||||
\(804\) | −1.70717e23 | −0.0344827 | ||||||||
\(805\) | −9.13460e23 | − | 3.89084e24i | −0.182568 | − | 0.777640i | ||||
\(806\) | 1.12431e24 | 0.222350 | ||||||||
\(807\) | 2.14334e24 | − | 3.71238e24i | 0.419436 | − | 0.726485i | ||||
\(808\) | −3.48858e24 | − | 6.04240e24i | −0.675542 | − | 1.17007i | ||||
\(809\) | −1.20865e23 | − | 2.09344e23i | −0.0231600 | − | 0.0401143i | 0.854213 | − | 0.519923i | \(-0.174039\pi\) |
−0.877373 | + | 0.479809i | \(0.840706\pi\) | |||||||
\(810\) | −1.41263e23 | + | 2.44675e23i | −0.0267859 | + | 0.0463945i | ||||
\(811\) | 4.36045e24 | 0.818189 | 0.409095 | − | 0.912492i | \(-0.365845\pi\) | ||||
0.409095 | + | 0.912492i | \(0.365845\pi\) | |||||||
\(812\) | 5.17357e22 | + | 2.20366e23i | 0.00960647 | + | 0.0409183i | ||||
\(813\) | −1.98270e24 | −0.364324 | ||||||||
\(814\) | −6.13341e23 | + | 1.06234e24i | −0.111531 | + | 0.193177i | ||||
\(815\) | −1.00680e23 | − | 1.74383e23i | −0.0181177 | − | 0.0313808i | ||||
\(816\) | 1.72051e24 | + | 2.98001e24i | 0.306401 | + | 0.530702i | ||||
\(817\) | −5.17952e24 | + | 8.97120e24i | −0.912856 | + | 1.58111i | ||||
\(818\) | −9.44555e24 | −1.64749 | ||||||||
\(819\) | −3.74338e24 | + | 3.51676e24i | −0.646175 | + | 0.607057i | ||||
\(820\) | −2.69199e22 | −0.00459891 | ||||||||
\(821\) | −1.96791e24 | + | 3.40852e24i | −0.332727 | + | 0.576300i | −0.983046 | − | 0.183362i | \(-0.941302\pi\) |
0.650319 | + | 0.759662i | \(0.274635\pi\) | |||||||
\(822\) | 3.80971e23 | + | 6.59861e23i | 0.0637501 | + | 0.110418i | ||||
\(823\) | 1.90951e24 | + | 3.30737e24i | 0.316245 | + | 0.547753i | 0.979701 | − | 0.200462i | \(-0.0642445\pi\) |
−0.663456 | + | 0.748215i | \(0.730911\pi\) | |||||||
\(824\) | 7.69388e23 | − | 1.33262e24i | 0.126114 | − | 0.218436i | ||||
\(825\) | 6.36570e23 | 0.103273 | ||||||||
\(826\) | 4.78119e24 | + | 1.44242e24i | 0.767725 | + | 0.231612i | ||||
\(827\) | 2.81100e23 | 0.0446749 | 0.0223375 | − | 0.999750i | \(-0.492889\pi\) | ||||
0.0223375 | + | 0.999750i | \(0.492889\pi\) | |||||||
\(828\) | 1.20843e23 | − | 2.09306e23i | 0.0190092 | − | 0.0329248i | ||||
\(829\) | −3.69730e24 | − | 6.40391e24i | −0.575666 | − | 0.997083i | −0.995969 | − | 0.0896994i | \(-0.971409\pi\) |
0.420303 | − | 0.907384i | \(-0.361924\pi\) | |||||||
\(830\) | 1.15132e24 | + | 1.99415e24i | 0.177432 | + | 0.307322i | ||||
\(831\) | −8.84285e23 | + | 1.53163e24i | −0.134891 | + | 0.233638i | ||||
\(832\) | 9.51990e24 | 1.43742 | ||||||||
\(833\) | 4.59859e23 | − | 7.35906e24i | 0.0687293 | − | 1.09987i | ||||
\(834\) | 8.77700e23 | 0.129848 | ||||||||
\(835\) | −2.71667e24 | + | 4.70542e24i | −0.397834 | + | 0.689069i | ||||
\(836\) | 1.22010e23 | + | 2.11328e23i | 0.0176865 | + | 0.0306339i | ||||
\(837\) | 5.70861e23 | + | 9.88761e23i | 0.0819151 | + | 0.141881i | ||||
\(838\) | −7.32876e23 | + | 1.26938e24i | −0.104101 | + | 0.180309i | ||||
\(839\) | 4.36851e23 | 0.0614266 | 0.0307133 | − | 0.999528i | \(-0.490222\pi\) | ||||
0.0307133 | + | 0.999528i | \(0.490222\pi\) | |||||||
\(840\) | 3.34156e24 | + | 1.00810e24i | 0.465130 | + | 0.140324i | ||||
\(841\) | −3.51803e24 | −0.484767 | ||||||||
\(842\) | 2.22527e24 | − | 3.85428e24i | 0.303550 | − | 0.525764i | ||||
\(843\) | 7.60704e23 | + | 1.31758e24i | 0.102726 | + | 0.177927i | ||||
\(844\) | −2.05702e23 | − | 3.56286e23i | −0.0274996 | − | 0.0476308i | ||||
\(845\) | −2.61881e24 | + | 4.53591e24i | −0.346594 | + | 0.600319i | ||||
\(846\) | −9.27030e23 | −0.121463 | ||||||||
\(847\) | −4.32700e24 | + | 4.06505e24i | −0.561277 | + | 0.527299i | ||||
\(848\) | −9.23683e24 | −1.18620 | ||||||||
\(849\) | 1.46749e24 | − | 2.54176e24i | 0.186578 | − | 0.323162i | ||||
\(850\) | 1.54320e24 | + | 2.67290e24i | 0.194250 | + | 0.336451i | ||||
\(851\) | −1.92582e24 | − | 3.33562e24i | −0.240002 | − | 0.415696i | ||||
\(852\) | −2.40697e23 | + | 4.16899e23i | −0.0296985 | + | 0.0514393i | ||||
\(853\) | 4.47276e24 | 0.546398 | 0.273199 | − | 0.961958i | \(-0.411918\pi\) | ||||
0.273199 | + | 0.961958i | \(0.411918\pi\) | |||||||
\(854\) | −2.99257e24 | − | 1.27467e25i | −0.361954 | − | 1.54173i | ||||
\(855\) | 5.44463e24 | 0.652014 | ||||||||
\(856\) | −6.55432e24 | + | 1.13524e25i | −0.777143 | + | 1.34605i | ||||
\(857\) | −3.67024e24 | − | 6.35704e24i | −0.430881 | − | 0.746308i | 0.566068 | − | 0.824358i | \(-0.308464\pi\) |
−0.996949 | + | 0.0780503i | \(0.975131\pi\) | |||||||
\(858\) | 1.62168e24 | + | 2.80883e24i | 0.188505 | + | 0.326500i | ||||
\(859\) | −2.38320e23 | + | 4.12782e23i | −0.0274295 | + | 0.0475093i | −0.879414 | − | 0.476057i | \(-0.842066\pi\) |
0.851985 | + | 0.523567i | \(0.175399\pi\) | |||||||
\(860\) | 5.94076e23 | 0.0677025 | ||||||||
\(861\) | 1.18189e23 | + | 5.03423e23i | 0.0133368 | + | 0.0568076i | ||||
\(862\) | 4.83032e24 | 0.539714 | ||||||||
\(863\) | 1.26362e24 | − | 2.18865e24i | 0.139806 | − | 0.242150i | −0.787617 | − | 0.616165i | \(-0.788686\pi\) |
0.927423 | + | 0.374014i | \(0.122019\pi\) | |||||||
\(864\) | 5.21667e23 | + | 9.03553e23i | 0.0571513 | + | 0.0989890i | ||||
\(865\) | −2.42673e24 | − | 4.20322e24i | −0.263260 | − | 0.455979i | ||||
\(866\) | 7.81080e24 | − | 1.35287e25i | 0.839060 | − | 1.45330i | ||||
\(867\) | 1.19501e24 | 0.127118 | ||||||||
\(868\) | −6.79159e22 | + | 6.38044e22i | −0.00715408 | + | 0.00672099i | ||||
\(869\) | 6.99933e24 | 0.730110 | ||||||||
\(870\) | 1.59464e24 | − | 2.76199e24i | 0.164721 | − | 0.285305i | ||||
\(871\) | −6.63759e24 | − | 1.14966e25i | −0.678978 | − | 1.17603i | ||||
\(872\) | 4.24475e24 | + | 7.35211e24i | 0.429993 | + | 0.744770i | ||||
\(873\) | 2.35726e24 | − | 4.08289e24i | 0.236476 | − | 0.409588i | ||||
\(874\) | 1.23188e25 | 1.22383 | ||||||||
\(875\) | 1.05855e25 | + | 3.19350e24i | 1.04146 | + | 0.314194i | ||||
\(876\) | 5.04362e22 | 0.00491425 | ||||||||
\(877\) | −8.12881e24 | + | 1.40795e25i | −0.784387 | + | 1.35860i | 0.144977 | + | 0.989435i | \(0.453689\pi\) |
−0.929364 | + | 0.369163i | \(0.879644\pi\) | |||||||
\(878\) | −4.09012e24 | − | 7.08429e24i | −0.390870 | − | 0.677007i | ||||
\(879\) | −1.74242e23 | − | 3.01796e23i | −0.0164910 | − | 0.0285633i | ||||
\(880\) | −1.91423e24 | + | 3.31554e24i | −0.179428 | + | 0.310779i | ||||
\(881\) | −1.08647e25 | −1.00861 | −0.504304 | − | 0.863526i | \(-0.668251\pi\) | ||||
−0.504304 | + | 0.863526i | \(0.668251\pi\) | |||||||
\(882\) | −4.26863e23 | + | 6.83103e24i | −0.0392469 | + | 0.628063i | ||||
\(883\) | −8.32880e24 | −0.758432 | −0.379216 | − | 0.925308i | \(-0.623806\pi\) | ||||
−0.379216 | + | 0.925308i | \(0.623806\pi\) | |||||||
\(884\) | 4.89039e23 | − | 8.47040e23i | 0.0441061 | − | 0.0763940i | ||||
\(885\) | 2.18822e24 | + | 3.79010e24i | 0.195467 | + | 0.338558i | ||||
\(886\) | −6.85105e24 | − | 1.18664e25i | −0.606137 | − | 1.04986i | ||||
\(887\) | 5.18561e24 | − | 8.98174e24i | 0.454411 | − | 0.787063i | −0.544243 | − | 0.838928i | \(-0.683183\pi\) |
0.998654 | + | 0.0518644i | \(0.0165164\pi\) | |||||||
\(888\) | 3.36369e24 | 0.291948 | ||||||||
\(889\) | 1.85286e25 | + | 5.58981e24i | 1.59286 | + | 0.480543i | ||||
\(890\) | 9.80624e24 | 0.835002 | ||||||||
\(891\) | 1.96684e23 | − | 3.40667e23i | 0.0165886 | − | 0.0287323i | ||||
\(892\) | 1.93061e22 | + | 3.34391e22i | 0.00161284 | + | 0.00279353i | ||||
\(893\) | 1.46944e24 | + | 2.54515e24i | 0.121595 | + | 0.210609i | ||||
\(894\) | −3.03361e24 | + | 5.25437e24i | −0.248651 | + | 0.430677i | ||||
\(895\) | 8.82605e23 | 0.0716590 | ||||||||
\(896\) | 8.18592e24 | − | 7.69036e24i | 0.658339 | − | 0.618484i | ||||
\(897\) | −1.01838e25 | −0.811286 | ||||||||
\(898\) | −4.72086e24 | + | 8.17677e24i | −0.372540 | + | 0.645257i | ||||
\(899\) | 7.69651e23 | + | 1.33307e24i | 0.0601640 | + | 0.104207i | ||||
\(900\) | 8.90960e22 | + | 1.54319e23i | 0.00689917 | + | 0.0119497i | ||||
\(901\) | −9.08374e24 | + | 1.57335e25i | −0.696793 | + | 1.20688i | ||||
\(902\) | −6.02617e23 | −0.0457916 | ||||||||
\(903\) | −2.60824e24 | − | 1.11097e25i | −0.196337 | − | 0.836289i | ||||
\(904\) | −1.91070e25 | −1.42482 | ||||||||
\(905\) | −8.72125e24 | + | 1.51056e25i | −0.644267 | + | 1.11590i | ||||
\(906\) | −1.58313e24 | − | 2.74206e24i | −0.115858 | − | 0.200672i | ||||
\(907\) | −1.13495e24 | − | 1.96579e24i | −0.0822839 | − | 0.142520i | 0.821947 | − | 0.569564i | \(-0.192888\pi\) |
−0.904231 | + | 0.427045i | \(0.859555\pi\) | |||||||
\(908\) | 7.60469e23 | − | 1.31717e24i | 0.0546200 | − | 0.0946046i | ||||
\(909\) | 1.19899e25 | 0.853146 | ||||||||
\(910\) | 3.43143e24 | + | 1.46160e25i | 0.241893 | + | 1.03033i | ||||
\(911\) | −1.33907e25 | −0.935186 | −0.467593 | − | 0.883944i | \(-0.654879\pi\) | ||||
−0.467593 | + | 0.883944i | \(0.654879\pi\) | |||||||
\(912\) | −5.06302e24 | + | 8.76941e24i | −0.350311 | + | 0.606756i | ||||
\(913\) | −1.60301e24 | − | 2.77650e24i | −0.109884 | − | 0.190325i | ||||
\(914\) | 1.00696e25 | + | 1.74411e25i | 0.683864 | + | 1.18449i | ||||
\(915\) | 5.73705e24 | − | 9.93686e24i | 0.386020 | − | 0.668606i | ||||
\(916\) | −1.33452e24 | −0.0889640 | ||||||||
\(917\) | −7.38440e24 | + | 6.93737e24i | −0.487726 | + | 0.458200i | ||||
\(918\) | −1.59689e25 | −1.04499 | ||||||||
\(919\) | 6.74207e24 | − | 1.16776e25i | 0.437131 | − | 0.757132i | −0.560336 | − | 0.828265i | \(-0.689328\pi\) |
0.997467 | + | 0.0711329i | \(0.0226614\pi\) | |||||||
\(920\) | −6.38567e24 | − | 1.10603e25i | −0.410214 | − | 0.710511i | ||||
\(921\) | −7.23504e23 | − | 1.25315e24i | −0.0460505 | − | 0.0797617i | ||||
\(922\) | −6.18831e23 | + | 1.07185e24i | −0.0390264 | + | 0.0675958i | ||||
\(923\) | −3.74338e25 | −2.33910 | ||||||||
\(924\) | −2.57361e23 | − | 7.76424e22i | −0.0159342 | − | 0.00480714i | ||||
\(925\) | 2.83977e24 | 0.174212 | ||||||||
\(926\) | 1.01950e25 | − | 1.76582e25i | 0.619715 | − | 1.07338i | ||||
\(927\) | 1.32216e24 | + | 2.29004e24i | 0.0796352 | + | 0.137932i | ||||
\(928\) | 7.03325e23 | + | 1.21820e24i | 0.0419757 | + | 0.0727041i | ||||
\(929\) | 1.46979e25 | − | 2.54575e25i | 0.869203 | − | 1.50550i | 0.00639141 | − | 0.999980i | \(-0.497966\pi\) |
0.862812 | − | 0.505525i | \(-0.168701\pi\) | |||||||
\(930\) | 1.31294e24 | 0.0769381 | ||||||||
\(931\) | 1.94312e25 | − | 9.65598e24i | 1.12830 | − | 0.560692i | ||||
\(932\) | 3.81383e23 | 0.0219445 | ||||||||
\(933\) | −2.92932e24 | + | 5.07374e24i | −0.167022 | + | 0.289290i | ||||
\(934\) | 5.79954e24 | + | 1.00451e25i | 0.327676 | + | 0.567552i | ||||
\(935\) | 3.76501e24 | + | 6.52119e24i | 0.210798 | + | 0.365113i | ||||
\(936\) | −8.20642e24 | + | 1.42139e25i | −0.455312 | + | 0.788623i | ||||
\(937\) | 3.06390e25 | 1.68456 | 0.842282 | − | 0.539038i | \(-0.181212\pi\) | ||||
0.842282 | + | 0.539038i | \(0.181212\pi\) | |||||||
\(938\) | −1.69362e25 | − | 5.10942e24i | −0.922767 | − | 0.278386i | ||||
\(939\) | 1.31438e25 | 0.709683 | ||||||||
\(940\) | 8.42704e22 | − | 1.45961e23i | 0.00450909 | − | 0.00780996i | ||||
\(941\) | 1.26260e25 | + | 2.18689e25i | 0.669505 | + | 1.15962i | 0.978043 | + | 0.208405i | \(0.0668272\pi\) |
−0.308537 | + | 0.951212i | \(0.599839\pi\) | |||||||
\(942\) | −1.04730e25 | − | 1.81398e25i | −0.550349 | − | 0.953233i | ||||
\(943\) | 9.46076e23 | − | 1.63865e24i | 0.0492694 | − | 0.0853370i | ||||
\(944\) | 1.50209e25 | 0.775236 | ||||||||
\(945\) | −1.11116e25 | + | 1.04389e25i | −0.568338 | + | 0.533932i | ||||
\(946\) | 1.32987e25 | 0.674118 | ||||||||
\(947\) | 1.20821e24 | − | 2.09267e24i | 0.0606968 | − | 0.105130i | −0.834080 | − | 0.551643i | \(-0.814001\pi\) |
0.894777 | + | 0.446513i | \(0.147334\pi\) | |||||||
\(948\) | −5.30841e23 | − | 9.19443e23i | −0.0264298 | − | 0.0457777i | ||||
\(949\) | 1.96099e24 | + | 3.39653e24i | 0.0967637 | + | 0.167600i | ||||
\(950\) | −4.54125e24 | + | 7.86568e24i | −0.222088 | + | 0.384668i | ||||
\(951\) | 1.79665e25 | 0.870823 | ||||||||
\(952\) | −5.38526e24 | − | 2.29383e25i | −0.258698 | − | 1.10191i | ||||
\(953\) | 2.80905e25 | 1.33743 | 0.668713 | − | 0.743521i | \(-0.266846\pi\) | ||||
0.668713 | + | 0.743521i | \(0.266846\pi\) | |||||||
\(954\) | 8.43196e24 | − | 1.46046e25i | 0.397894 | − | 0.689172i | ||||
\(955\) | −7.03461e24 | − | 1.21843e25i | −0.329012 | − | 0.569865i | ||||
\(956\) | 2.34647e23 | + | 4.06421e23i | 0.0108774 | + | 0.0188401i | ||||
\(957\) | −2.22026e24 | + | 3.84559e24i | −0.102012 | + | 0.176690i | ||||
\(958\) | −1.79684e25 | −0.818280 | ||||||||
\(959\) | −1.12239e24 | − | 4.78077e24i | −0.0506623 | − | 0.215794i | ||||
\(960\) | 1.11171e25 | 0.497379 | ||||||||
\(961\) | 1.09582e25 | − | 1.89802e25i | 0.485949 | − | 0.841689i | ||||
\(962\) | 7.23440e24 | + | 1.25303e25i | 0.317991 | + | 0.550776i | ||||
\(963\) | −1.12633e25 | − | 1.95086e25i | −0.490729 | − | 0.849968i | ||||
\(964\) | −8.99711e23 | + | 1.55835e24i | −0.0388551 | + | 0.0672991i | ||||
\(965\) | −2.19095e25 | −0.937888 | ||||||||
\(966\) | −9.89061e24 | + | 9.29185e24i | −0.419679 | + | 0.394273i | ||||
\(967\) | −1.59698e25 | −0.671699 | −0.335850 | − | 0.941916i | \(-0.609023\pi\) | ||||
−0.335850 | + | 0.941916i | \(0.609023\pi\) | |||||||
\(968\) | −9.48586e24 | + | 1.64300e25i | −0.395491 | + | 0.685010i | ||||
\(969\) | 9.95822e24 | + | 1.72481e25i | 0.411557 | + | 0.712837i | ||||
\(970\) | −6.89044e24 | − | 1.19346e25i | −0.282284 | − | 0.488931i | ||||
\(971\) | −1.35692e25 | + | 2.35025e25i | −0.551049 | + | 0.954444i | 0.447151 | + | 0.894459i | \(0.352439\pi\) |
−0.998199 | + | 0.0599856i | \(0.980895\pi\) | |||||||
\(972\) | −1.48121e24 | −0.0596284 | ||||||||
\(973\) | −5.41573e24 | − | 1.63385e24i | −0.216122 | − | 0.0652009i | ||||
\(974\) | 6.96322e24 | 0.275460 | ||||||||
\(975\) | 3.75420e24 | − | 6.50246e24i | 0.147224 | − | 0.254999i | ||||
\(976\) | −1.96908e25 | − | 3.41055e25i | −0.765492 | − | 1.32587i | ||||
\(977\) | 1.08715e25 | + | 1.88300e25i | 0.418973 | + | 0.725683i | 0.995836 | − | 0.0911580i | \(-0.0290568\pi\) |
−0.576863 | + | 0.816841i | \(0.695723\pi\) | |||||||
\(978\) | −3.41861e23 | + | 5.92121e23i | −0.0130608 | + | 0.0226219i | ||||
\(979\) | −1.36535e25 | −0.517119 | ||||||||
\(980\) | −1.03674e24 | − | 6.88175e23i | −0.0389268 | − | 0.0258391i | ||||
\(981\) | −1.45888e25 | −0.543041 | ||||||||
\(982\) | 1.27194e25 | − | 2.20306e25i | 0.469374 | − | 0.812979i | ||||
\(983\) | 1.40092e25 | + | 2.42646e25i | 0.512517 | + | 0.887706i | 0.999895 | + | 0.0145143i | \(0.00462020\pi\) |
−0.487378 | + | 0.873191i | \(0.662046\pi\) | |||||||
\(984\) | 8.26221e23 | + | 1.43106e24i | 0.0299666 | + | 0.0519037i | ||||
\(985\) | 1.11172e25 | − | 1.92555e25i | 0.399748 | − | 0.692385i | ||||
\(986\) | −2.15297e25 | −0.767512 | ||||||||
\(987\) | −3.09957e24 | − | 9.35097e23i | −0.109548 | − | 0.0330492i | ||||
\(988\) | 2.87824e24 | 0.100854 | ||||||||
\(989\) | −2.08783e25 | + | 3.61623e25i | −0.725315 | + | 1.25628i | ||||
\(990\) | −3.49486e24 | − | 6.05327e24i | −0.120373 | − | 0.208493i | ||||
\(991\) | 1.27277e25 | + | 2.20451e25i | 0.434635 | + | 0.752810i | 0.997266 | − | 0.0738981i | \(-0.0235440\pi\) |
−0.562631 | + | 0.826708i | \(0.690211\pi\) | |||||||
\(992\) | −2.89541e23 | + | 5.01501e23i | −0.00980306 | + | 0.0169794i | ||||
\(993\) | 1.77568e24 | 0.0596068 | ||||||||
\(994\) | −3.63561e25 | + | 3.41552e25i | −1.21002 | + | 1.13677i | ||||
\(995\) | 1.24731e25 | 0.411602 | ||||||||
\(996\) | −2.43150e23 | + | 4.21149e23i | −0.00795556 | + | 0.0137794i | ||||
\(997\) | 1.05853e25 | + | 1.83342e25i | 0.343394 | + | 0.594776i | 0.985061 | − | 0.172208i | \(-0.0550900\pi\) |
−0.641666 | + | 0.766984i | \(0.721757\pi\) | |||||||
\(998\) | 4.37392e24 | + | 7.57586e24i | 0.140689 | + | 0.243681i | ||||
\(999\) | −7.34644e24 | + | 1.27244e25i | −0.234299 | + | 0.405818i |
(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 | 7.18.c.a.2.3 | ✓ | 20 | |
7.2 | even | 3 | 49.18.a.f.1.8 | 10 | |||
7.4 | even | 3 | inner | 7.18.c.a.4.3 | yes | 20 | |
7.5 | odd | 6 | 49.18.a.g.1.8 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
7.18.c.a.2.3 | ✓ | 20 | 1.1 | even | 1 | trivial | |
7.18.c.a.4.3 | yes | 20 | 7.4 | even | 3 | inner | |
49.18.a.f.1.8 | 10 | 7.2 | even | 3 | |||
49.18.a.g.1.8 | 10 | 7.5 | odd | 6 |