Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,7,Mod(27,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.27");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.d (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.74205517755\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 9440 x^{18} + 37579488 x^{16} + 83109028728 x^{14} + 112838424559344 x^{12} + \cdots + 83\!\cdots\!96 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{20}\cdot 3^{4}\cdot 19^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 27.10 | ||
Root | \(-34.8817i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.27 |
Dual form | 38.7.d.a.31.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.89898 | + | 2.82843i | 0.612372 | + | 0.353553i | ||||
\(3\) | 29.9332 | + | 17.2819i | 1.10864 | + | 0.640072i | 0.938476 | − | 0.345345i | \(-0.112238\pi\) |
0.170161 | + | 0.985416i | \(0.445571\pi\) | |||||||
\(4\) | 16.0000 | + | 27.7128i | 0.250000 | + | 0.433013i | ||||
\(5\) | 48.9935 | − | 84.8592i | 0.391948 | − | 0.678874i | −0.600759 | − | 0.799431i | \(-0.705135\pi\) |
0.992706 | + | 0.120557i | \(0.0384680\pi\) | |||||||
\(6\) | 97.7614 | + | 169.328i | 0.452599 | + | 0.783924i | ||||
\(7\) | 374.355 | 1.09141 | 0.545707 | − | 0.837976i | \(-0.316261\pi\) | ||||
0.545707 | + | 0.837976i | \(0.316261\pi\) | |||||||
\(8\) | 181.019i | 0.353553i | ||||||||
\(9\) | 232.830 | + | 403.274i | 0.319383 | + | 0.553188i | ||||
\(10\) | 480.036 | − | 277.149i | 0.480036 | − | 0.277149i | ||||
\(11\) | −766.306 | −0.575737 | −0.287868 | − | 0.957670i | \(-0.592947\pi\) | ||||
−0.287868 | + | 0.957670i | \(0.592947\pi\) | |||||||
\(12\) | 1106.04i | 0.640072i | ||||||||
\(13\) | −1999.79 | + | 1154.58i | −0.910235 | + | 0.525524i | −0.880507 | − | 0.474034i | \(-0.842797\pi\) |
−0.0297279 | + | 0.999558i | \(0.509464\pi\) | |||||||
\(14\) | 1833.96 | + | 1058.84i | 0.668352 | + | 0.385873i | ||||
\(15\) | 2933.06 | − | 1693.40i | 0.869055 | − | 0.501749i | ||||
\(16\) | −512.000 | + | 886.810i | −0.125000 | + | 0.216506i | ||||
\(17\) | 1079.00 | − | 1868.89i | 0.219622 | − | 0.380397i | −0.735070 | − | 0.677991i | \(-0.762851\pi\) |
0.954692 | + | 0.297594i | \(0.0961842\pi\) | |||||||
\(18\) | 2634.17i | 0.451676i | ||||||||
\(19\) | 1562.66 | + | 6678.62i | 0.227826 | + | 0.973702i | ||||
\(20\) | 3135.58 | 0.391948 | ||||||||
\(21\) | 11205.6 | + | 6469.58i | 1.20998 | + | 0.698584i | ||||
\(22\) | −3754.12 | − | 2167.44i | −0.352565 | − | 0.203554i | ||||
\(23\) | −7673.77 | − | 13291.4i | −0.630703 | − | 1.09241i | −0.987408 | − | 0.158193i | \(-0.949433\pi\) |
0.356705 | − | 0.934217i | \(-0.383900\pi\) | |||||||
\(24\) | −3128.36 | + | 5418.49i | −0.226299 | + | 0.391962i | ||||
\(25\) | 3011.78 | + | 5216.55i | 0.192754 | + | 0.333859i | ||||
\(26\) | −13062.5 | −0.743203 | ||||||||
\(27\) | − | 9102.02i | − | 0.462431i | ||||||
\(28\) | 5989.69 | + | 10374.4i | 0.272854 | + | 0.472597i | ||||
\(29\) | −16518.2 | + | 9536.79i | −0.677281 | + | 0.391028i | −0.798830 | − | 0.601557i | \(-0.794547\pi\) |
0.121549 | + | 0.992585i | \(0.461214\pi\) | |||||||
\(30\) | 19158.7 | 0.709581 | ||||||||
\(31\) | − | 49927.0i | − | 1.67591i | −0.545741 | − | 0.837954i | \(-0.683752\pi\) | ||
0.545741 | − | 0.837954i | \(-0.316248\pi\) | |||||||
\(32\) | −5016.55 | + | 2896.31i | −0.153093 | + | 0.0883883i | ||||
\(33\) | −22938.0 | − | 13243.2i | −0.638283 | − | 0.368513i | ||||
\(34\) | 10572.0 | − | 6103.77i | 0.268981 | − | 0.155296i | ||||
\(35\) | 18341.0 | − | 31767.5i | 0.427778 | − | 0.740933i | ||||
\(36\) | −7450.57 | + | 12904.8i | −0.159692 | + | 0.276594i | ||||
\(37\) | − | 32593.3i | − | 0.643462i | −0.946831 | − | 0.321731i | \(-0.895735\pi\) | ||
0.946831 | − | 0.321731i | \(-0.104265\pi\) | |||||||
\(38\) | −11234.5 | + | 37138.3i | −0.204741 | + | 0.676817i | ||||
\(39\) | −79813.3 | −1.34549 | ||||||||
\(40\) | 15361.2 | + | 8868.77i | 0.240018 | + | 0.138574i | ||||
\(41\) | −35814.8 | − | 20677.7i | −0.519649 | − | 0.300020i | 0.217142 | − | 0.976140i | \(-0.430327\pi\) |
−0.736791 | + | 0.676120i | \(0.763660\pi\) | |||||||
\(42\) | 36597.5 | + | 63388.7i | 0.493973 | + | 0.855587i | ||||
\(43\) | −11303.5 | + | 19578.3i | −0.142170 | + | 0.246246i | −0.928314 | − | 0.371798i | \(-0.878741\pi\) |
0.786143 | + | 0.618044i | \(0.212075\pi\) | |||||||
\(44\) | −12260.9 | − | 21236.5i | −0.143934 | − | 0.249301i | ||||
\(45\) | 45628.7 | 0.500726 | ||||||||
\(46\) | − | 86818.8i | − | 0.891949i | ||||||
\(47\) | −14673.2 | − | 25414.6i | −0.141329 | − | 0.244788i | 0.786669 | − | 0.617375i | \(-0.211804\pi\) |
−0.927997 | + | 0.372587i | \(0.878471\pi\) | |||||||
\(48\) | −30651.6 | + | 17696.7i | −0.277159 | + | 0.160018i | ||||
\(49\) | 22492.9 | 0.191187 | ||||||||
\(50\) | 34074.4i | 0.272595i | ||||||||
\(51\) | 64596.0 | − | 37294.5i | 0.486962 | − | 0.281148i | ||||
\(52\) | −63993.1 | − | 36946.4i | −0.455117 | − | 0.262762i | ||||
\(53\) | 43683.2 | − | 25220.5i | 0.293418 | − | 0.169405i | −0.346064 | − | 0.938211i | \(-0.612482\pi\) |
0.639482 | + | 0.768806i | \(0.279149\pi\) | |||||||
\(54\) | 25744.4 | − | 44590.6i | 0.163494 | − | 0.283180i | ||||
\(55\) | −37544.0 | + | 65028.1i | −0.225659 | + | 0.390853i | ||||
\(56\) | 67765.6i | 0.385873i | ||||||||
\(57\) | −68644.1 | + | 226918.i | −0.370662 | + | 1.22531i | ||||
\(58\) | −107896. | −0.552998 | ||||||||
\(59\) | 268633. | + | 155096.i | 1.30799 | + | 0.755168i | 0.981760 | − | 0.190123i | \(-0.0608887\pi\) |
0.326229 | + | 0.945291i | \(0.394222\pi\) | |||||||
\(60\) | 93858.0 | + | 54188.9i | 0.434528 | + | 0.250875i | ||||
\(61\) | 150729. | + | 261070.i | 0.664059 | + | 1.15018i | 0.979540 | + | 0.201251i | \(0.0645008\pi\) |
−0.315481 | + | 0.948932i | \(0.602166\pi\) | |||||||
\(62\) | 141215. | − | 244591.i | 0.592523 | − | 1.02628i | ||||
\(63\) | 87161.3 | + | 150968.i | 0.348580 | + | 0.603758i | ||||
\(64\) | −32768.0 | −0.125000 | ||||||||
\(65\) | 226267.i | 0.823912i | ||||||||
\(66\) | −74915.1 | − | 129757.i | −0.260578 | − | 0.451334i | ||||
\(67\) | −13.3422 | + | 7.70312i | −4.43611e−5 | + | 2.56119e-5i | −0.500022 | − | 0.866013i | \(-0.666675\pi\) |
0.499978 | + | 0.866038i | \(0.333341\pi\) | |||||||
\(68\) | 69056.2 | 0.219622 | ||||||||
\(69\) | − | 530470.i | − | 1.61478i | ||||||
\(70\) | 179704. | − | 103752.i | 0.523919 | − | 0.302485i | ||||
\(71\) | 315273. | + | 182023.i | 0.880870 | + | 0.508571i | 0.870945 | − | 0.491380i | \(-0.163507\pi\) |
0.00992498 | + | 0.999951i | \(0.496841\pi\) | |||||||
\(72\) | −73000.4 | + | 42146.8i | −0.195581 | + | 0.112919i | ||||
\(73\) | −61079.9 | + | 105794.i | −0.157011 | + | 0.271951i | −0.933789 | − | 0.357823i | \(-0.883519\pi\) |
0.776778 | + | 0.629774i | \(0.216852\pi\) | |||||||
\(74\) | 92187.8 | − | 159674.i | 0.227498 | − | 0.394039i | ||||
\(75\) | 208197.i | 0.493505i | ||||||||
\(76\) | −160081. | + | 150164.i | −0.364669 | + | 0.342077i | ||||
\(77\) | −286871. | −0.628368 | ||||||||
\(78\) | −391003. | − | 225746.i | −0.823942 | − | 0.475703i | ||||
\(79\) | −644021. | − | 371826.i | −1.30623 | − | 0.754151i | −0.324763 | − | 0.945795i | \(-0.605284\pi\) |
−0.981464 | + | 0.191645i | \(0.938618\pi\) | |||||||
\(80\) | 50169.3 | + | 86895.8i | 0.0979870 | + | 0.169718i | ||||
\(81\) | 327034. | − | 566439.i | 0.615372 | − | 1.06586i | ||||
\(82\) | −116970. | − | 202599.i | −0.212146 | − | 0.367448i | ||||
\(83\) | −1.00943e6 | −1.76539 | −0.882695 | − | 0.469946i | \(-0.844273\pi\) | ||||
−0.882695 | + | 0.469946i | \(0.844273\pi\) | |||||||
\(84\) | 414053.i | 0.698584i | ||||||||
\(85\) | −105728. | − | 183127.i | −0.172161 | − | 0.298191i | ||||
\(86\) | −110752. | + | 63942.5i | −0.174122 | + | 0.100530i | ||||
\(87\) | −659257. | −1.00114 | ||||||||
\(88\) | − | 138716.i | − | 0.203554i | ||||||
\(89\) | 166910. | − | 96365.5i | 0.236762 | − | 0.136695i | −0.376926 | − | 0.926244i | \(-0.623019\pi\) |
0.613688 | + | 0.789549i | \(0.289685\pi\) | |||||||
\(90\) | 223534. | + | 129057.i | 0.306631 | + | 0.177033i | ||||
\(91\) | −748630. | + | 432222.i | −0.993444 | + | 0.573565i | ||||
\(92\) | 245561. | − | 425323.i | 0.315352 | − | 0.546205i | ||||
\(93\) | 862835. | − | 1.49447e6i | 1.07270 | − | 1.85797i | ||||
\(94\) | − | 166008.i | − | 0.199869i | ||||||
\(95\) | 643303. | + | 194603.i | 0.750316 | + | 0.226975i | ||||
\(96\) | −200215. | −0.226299 | ||||||||
\(97\) | 1.37799e6 | + | 795583.i | 1.50984 | + | 0.871707i | 0.999934 | + | 0.0114763i | \(0.00365309\pi\) |
0.509906 | + | 0.860230i | \(0.329680\pi\) | |||||||
\(98\) | 110192. | + | 63619.6i | 0.117077 | + | 0.0675947i | ||||
\(99\) | −178419. | − | 309031.i | −0.183881 | − | 0.318491i | ||||
\(100\) | −96376.9 | + | 166930.i | −0.0963769 | + | 0.166930i | ||||
\(101\) | −321792. | − | 557360.i | −0.312328 | − | 0.540968i | 0.666538 | − | 0.745471i | \(-0.267775\pi\) |
−0.978866 | + | 0.204503i | \(0.934442\pi\) | |||||||
\(102\) | 421940. | 0.397603 | ||||||||
\(103\) | 2.00578e6i | 1.83557i | 0.397074 | + | 0.917787i | \(0.370026\pi\) | ||||
−0.397074 | + | 0.917787i | \(0.629974\pi\) | |||||||
\(104\) | −209001. | − | 362000.i | −0.185801 | − | 0.321816i | ||||
\(105\) | 1.09801e6 | − | 633935.i | 0.948500 | − | 0.547617i | ||||
\(106\) | 285337. | 0.239575 | ||||||||
\(107\) | 2.40459e6i | 1.96286i | 0.191815 | + | 0.981431i | \(0.438563\pi\) | ||||
−0.191815 | + | 0.981431i | \(0.561437\pi\) | |||||||
\(108\) | 252243. | − | 145632.i | 0.200238 | − | 0.115608i | ||||
\(109\) | 333797. | + | 192718.i | 0.257753 | + | 0.148814i | 0.623309 | − | 0.781976i | \(-0.285788\pi\) |
−0.365556 | + | 0.930789i | \(0.619121\pi\) | |||||||
\(110\) | −367854. | + | 212381.i | −0.276375 | + | 0.159565i | ||||
\(111\) | 563275. | − | 975621.i | 0.411862 | − | 0.713366i | ||||
\(112\) | −191670. | + | 331982.i | −0.136427 | + | 0.236298i | ||||
\(113\) | − | 1.68225e6i | − | 1.16589i | −0.812513 | − | 0.582943i | \(-0.801901\pi\) | ||
0.812513 | − | 0.582943i | \(-0.198099\pi\) | |||||||
\(114\) | −978107. | + | 917513.i | −0.660195 | + | 0.619295i | ||||
\(115\) | −1.50386e6 | −0.988811 | ||||||||
\(116\) | −528583. | − | 305177.i | −0.338641 | − | 0.195514i | ||||
\(117\) | −931221. | − | 537641.i | −0.581427 | − | 0.335687i | ||||
\(118\) | 877353. | + | 1.51962e6i | 0.533984 | + | 0.924888i | ||||
\(119\) | 403931. | − | 699629.i | 0.239699 | − | 0.415171i | ||||
\(120\) | 306539. | + | 530941.i | 0.177395 | + | 0.307257i | ||||
\(121\) | −1.18434e6 | −0.668527 | ||||||||
\(122\) | 1.70530e6i | 0.939121i | ||||||||
\(123\) | −714700. | − | 1.23790e6i | −0.384068 | − | 0.665225i | ||||
\(124\) | 1.38362e6 | − | 798832.i | 0.725689 | − | 0.418977i | ||||
\(125\) | 2.12128e6 | 1.08609 | ||||||||
\(126\) | 986117.i | 0.492966i | ||||||||
\(127\) | 294201. | − | 169857.i | 0.143626 | − | 0.0829224i | −0.426465 | − | 0.904504i | \(-0.640241\pi\) |
0.570091 | + | 0.821582i | \(0.306908\pi\) | |||||||
\(128\) | −160530. | − | 92681.9i | −0.0765466 | − | 0.0441942i | ||||
\(129\) | −676702. | + | 390694.i | −0.315231 | + | 0.181998i | ||||
\(130\) | −639979. | + | 1.10848e6i | −0.291297 | + | 0.504541i | ||||
\(131\) | −119354. | + | 206728.i | −0.0530915 | + | 0.0919571i | −0.891350 | − | 0.453316i | \(-0.850241\pi\) |
0.838258 | + | 0.545273i | \(0.183574\pi\) | |||||||
\(132\) | − | 847568.i | − | 0.368513i | ||||||
\(133\) | 584990. | + | 2.50018e6i | 0.248653 | + | 1.06271i | ||||
\(134\) | −87.1508 | −3.62207e−5 | ||||||||
\(135\) | −772391. | − | 445940.i | −0.313932 | − | 0.181249i | ||||
\(136\) | 338305. | + | 195321.i | 0.134491 | + | 0.0776482i | ||||
\(137\) | −558627. | − | 967571.i | −0.217250 | − | 0.376289i | 0.736716 | − | 0.676202i | \(-0.236375\pi\) |
−0.953966 | + | 0.299914i | \(0.903042\pi\) | |||||||
\(138\) | 1.50040e6 | − | 2.59876e6i | 0.570911 | − | 0.988847i | ||||
\(139\) | 294609. | + | 510277.i | 0.109699 | + | 0.190004i | 0.915648 | − | 0.401981i | \(-0.131678\pi\) |
−0.805950 | + | 0.591984i | \(0.798345\pi\) | |||||||
\(140\) | 1.17382e6 | 0.427778 | ||||||||
\(141\) | − | 1.01432e6i | − | 0.361842i | ||||||
\(142\) | 1.02968e6 | + | 1.78345e6i | 0.359614 | + | 0.622869i | ||||
\(143\) | 1.53245e6 | − | 884759.i | 0.524056 | − | 0.302564i | ||||
\(144\) | −476837. | −0.159692 | ||||||||
\(145\) | 1.86896e6i | 0.613051i | ||||||||
\(146\) | −598459. | + | 345520.i | −0.192298 | + | 0.111024i | ||||
\(147\) | 673285. | + | 388721.i | 0.211956 | + | 0.122373i | ||||
\(148\) | 903252. | − | 521493.i | 0.278627 | − | 0.160866i | ||||
\(149\) | 2.56875e6 | − | 4.44920e6i | 0.776537 | − | 1.34500i | −0.157389 | − | 0.987537i | \(-0.550308\pi\) |
0.933926 | − | 0.357465i | \(-0.116359\pi\) | |||||||
\(150\) | −588871. | + | 1.01995e6i | −0.174480 | + | 0.302209i | ||||
\(151\) | 2.77474e6i | 0.805920i | 0.915218 | + | 0.402960i | \(0.132019\pi\) | ||||
−0.915218 | + | 0.402960i | \(0.867981\pi\) | |||||||
\(152\) | −1.20896e6 | + | 282872.i | −0.344256 | + | 0.0805488i | ||||
\(153\) | 1.00490e6 | 0.280575 | ||||||||
\(154\) | −1.40537e6 | − | 811393.i | −0.384795 | − | 0.222162i | ||||
\(155\) | −4.23676e6 | − | 2.44610e6i | −1.13773 | − | 0.656869i | ||||
\(156\) | −1.27701e6 | − | 2.21185e6i | −0.336373 | − | 0.582615i | ||||
\(157\) | −2.70498e6 | + | 4.68517e6i | −0.698981 | + | 1.21067i | 0.269839 | + | 0.962906i | \(0.413030\pi\) |
−0.968820 | + | 0.247766i | \(0.920304\pi\) | |||||||
\(158\) | −2.10336e6 | − | 3.64313e6i | −0.533265 | − | 0.923642i | ||||
\(159\) | 1.74343e6 | 0.433725 | ||||||||
\(160\) | 567601.i | 0.138574i | ||||||||
\(161\) | −2.87272e6 | − | 4.97569e6i | −0.688359 | − | 1.19227i | ||||
\(162\) | 3.20426e6 | − | 1.84998e6i | 0.753674 | − | 0.435134i | ||||
\(163\) | −8.25314e6 | −1.90571 | −0.952854 | − | 0.303429i | \(-0.901869\pi\) | ||||
−0.952854 | + | 0.303429i | \(0.901869\pi\) | |||||||
\(164\) | − | 1.32337e6i | − | 0.300020i | ||||||
\(165\) | −2.24762e6 | + | 1.29767e6i | −0.500347 | + | 0.288876i | ||||
\(166\) | −4.94516e6 | − | 2.85509e6i | −1.08108 | − | 0.624160i | ||||
\(167\) | 7.20270e6 | − | 4.15848e6i | 1.54649 | − | 0.892864i | 0.548079 | − | 0.836426i | \(-0.315359\pi\) |
0.998406 | − | 0.0564372i | \(-0.0179741\pi\) | |||||||
\(168\) | −1.17112e6 | + | 2.02844e6i | −0.246987 | + | 0.427793i | ||||
\(169\) | 252689. | − | 437671.i | 0.0523512 | − | 0.0906750i | ||||
\(170\) | − | 1.19618e6i | − | 0.243472i | ||||||
\(171\) | −2.32948e6 | + | 2.18517e6i | −0.465876 | + | 0.437015i | ||||
\(172\) | −723427. | −0.142170 | ||||||||
\(173\) | 3.51780e6 | + | 2.03100e6i | 0.679411 | + | 0.392258i | 0.799633 | − | 0.600489i | \(-0.205027\pi\) |
−0.120222 | + | 0.992747i | \(0.538361\pi\) | |||||||
\(174\) | −3.22969e6 | − | 1.86466e6i | −0.613073 | − | 0.353958i | ||||
\(175\) | 1.12748e6 | + | 1.95284e6i | 0.210374 | + | 0.364379i | ||||
\(176\) | 392349. | − | 679568.i | 0.0719671 | − | 0.124651i | ||||
\(177\) | 5.36070e6 | + | 9.28501e6i | 0.966723 | + | 1.67441i | ||||
\(178\) | 1.09025e6 | 0.193315 | ||||||||
\(179\) | − | 3.81297e6i | − | 0.664820i | −0.943135 | − | 0.332410i | \(-0.892138\pi\) | ||
0.943135 | − | 0.332410i | \(-0.107862\pi\) | |||||||
\(180\) | 730059. | + | 1.26450e6i | 0.125182 | + | 0.216821i | ||||
\(181\) | 3.08272e6 | − | 1.77981e6i | 0.519874 | − | 0.300149i | −0.217009 | − | 0.976170i | \(-0.569630\pi\) |
0.736883 | + | 0.676020i | \(0.236297\pi\) | |||||||
\(182\) | −4.89003e6 | −0.811143 | ||||||||
\(183\) | 1.04195e7i | 1.70018i | ||||||||
\(184\) | 2.40599e6 | − | 1.38910e6i | 0.386225 | − | 0.222987i | ||||
\(185\) | −2.76584e6 | − | 1.59686e6i | −0.436830 | − | 0.252204i | ||||
\(186\) | 8.45402e6 | − | 4.88093e6i | 1.31379 | − | 0.758514i | ||||
\(187\) | −826847. | + | 1.43214e6i | −0.126445 | + | 0.219008i | ||||
\(188\) | 469541. | − | 813269.i | 0.0706643 | − | 0.122394i | ||||
\(189\) | − | 3.40739e6i | − | 0.504704i | ||||||
\(190\) | 2.60111e6 | + | 2.77289e6i | 0.379225 | + | 0.404270i | ||||
\(191\) | 4.86507e6 | 0.698215 | 0.349107 | − | 0.937083i | \(-0.386485\pi\) | ||||
0.349107 | + | 0.937083i | \(0.386485\pi\) | |||||||
\(192\) | −980851. | − | 566294.i | −0.138580 | − | 0.0800089i | ||||
\(193\) | 4.17501e6 | + | 2.41044e6i | 0.580745 | + | 0.335293i | 0.761429 | − | 0.648248i | \(-0.224498\pi\) |
−0.180684 | + | 0.983541i | \(0.557831\pi\) | |||||||
\(194\) | 4.50050e6 | + | 7.79509e6i | 0.616390 | + | 1.06762i | ||||
\(195\) | −3.91033e6 | + | 6.77289e6i | −0.527363 | + | 0.913419i | ||||
\(196\) | 359887. | + | 623342.i | 0.0477967 | + | 0.0827862i | ||||
\(197\) | 1.32850e6 | 0.173765 | 0.0868826 | − | 0.996219i | \(-0.472309\pi\) | ||||
0.0868826 | + | 0.996219i | \(0.472309\pi\) | |||||||
\(198\) | − | 2.01858e6i | − | 0.260047i | ||||||
\(199\) | −5.05079e6 | − | 8.74822e6i | −0.640914 | − | 1.11010i | −0.985229 | − | 0.171242i | \(-0.945222\pi\) |
0.344315 | − | 0.938854i | \(-0.388111\pi\) | |||||||
\(200\) | −944297. | + | 545190.i | −0.118037 | + | 0.0681488i | ||||
\(201\) | −532.499 | −6.55738e−5 | ||||||||
\(202\) | − | 3.64066e6i | − | 0.441698i | ||||||
\(203\) | −6.18368e6 | + | 3.57015e6i | −0.739195 | + | 0.426774i | ||||
\(204\) | 2.06707e6 | + | 1.19343e6i | 0.243481 | + | 0.140574i | ||||
\(205\) | −3.50938e6 | + | 2.02614e6i | −0.407351 | + | 0.235184i | ||||
\(206\) | −5.67320e6 | + | 9.82628e6i | −0.648973 | + | 1.12405i | ||||
\(207\) | 3.57337e6 | − | 6.18926e6i | 0.402872 | − | 0.697795i | ||||
\(208\) | − | 2.36457e6i | − | 0.262762i | ||||||
\(209\) | −1.19748e6 | − | 5.11787e6i | −0.131168 | − | 0.560596i | ||||
\(210\) | 7.17215e6 | 0.774447 | ||||||||
\(211\) | 7.78890e6 | + | 4.49692e6i | 0.829141 | + | 0.478705i | 0.853559 | − | 0.520997i | \(-0.174440\pi\) |
−0.0244173 | + | 0.999702i | \(0.507773\pi\) | |||||||
\(212\) | 1.39786e6 | + | 807055.i | 0.146709 | + | 0.0847024i | ||||
\(213\) | 6.29142e6 | + | 1.08971e7i | 0.651043 | + | 1.12764i | ||||
\(214\) | −6.80121e6 | + | 1.17800e7i | −0.693977 | + | 1.20200i | ||||
\(215\) | 1.10760e6 | + | 1.91842e6i | 0.111447 | + | 0.193031i | ||||
\(216\) | 1.64764e6 | 0.163494 | ||||||||
\(217\) | − | 1.86904e7i | − | 1.82911i | ||||||
\(218\) | 1.09018e6 | + | 1.88824e6i | 0.105227 | + | 0.182259i | ||||
\(219\) | −3.65663e6 | + | 2.11116e6i | −0.348136 | + | 0.200997i | ||||
\(220\) | −2.40282e6 | −0.225659 | ||||||||
\(221\) | 4.98317e6i | 0.461667i | ||||||||
\(222\) | 5.51895e6 | − | 3.18637e6i | 0.504426 | − | 0.291230i | ||||
\(223\) | 1.02363e7 | + | 5.90990e6i | 0.923052 | + | 0.532925i | 0.884608 | − | 0.466336i | \(-0.154426\pi\) |
0.0384448 | + | 0.999261i | \(0.487760\pi\) | |||||||
\(224\) | −1.87797e6 | + | 1.08425e6i | −0.167088 | + | 0.0964684i | ||||
\(225\) | −1.40247e6 | + | 2.42914e6i | −0.123125 | + | 0.213258i | ||||
\(226\) | 4.75813e6 | − | 8.24132e6i | 0.412203 | − | 0.713956i | ||||
\(227\) | − | 1.27320e7i | − | 1.08848i | −0.838931 | − | 0.544238i | \(-0.816819\pi\) | ||
0.838931 | − | 0.544238i | \(-0.183181\pi\) | |||||||
\(228\) | −7.38685e6 | + | 1.72837e6i | −0.623239 | + | 0.145825i | ||||
\(229\) | 1.22776e7 | 1.02237 | 0.511183 | − | 0.859472i | \(-0.329207\pi\) | ||||
0.511183 | + | 0.859472i | \(0.329207\pi\) | |||||||
\(230\) | −7.36737e6 | − | 4.25355e6i | −0.605521 | − | 0.349598i | ||||
\(231\) | −8.58695e6 | − | 4.95768e6i | −0.696632 | − | 0.402200i | ||||
\(232\) | −1.72634e6 | − | 2.99011e6i | −0.138249 | − | 0.239455i | ||||
\(233\) | −4.17601e6 | + | 7.23305e6i | −0.330136 | + | 0.571813i | −0.982538 | − | 0.186060i | \(-0.940428\pi\) |
0.652402 | + | 0.757873i | \(0.273761\pi\) | |||||||
\(234\) | −3.04136e6 | − | 5.26778e6i | −0.237367 | − | 0.411131i | ||||
\(235\) | −2.87556e6 | −0.221574 | ||||||||
\(236\) | 9.92612e6i | 0.755168i | ||||||||
\(237\) | −1.28517e7 | − | 2.22599e7i | −0.965421 | − | 1.67216i | ||||
\(238\) | 3.95770e6 | − | 2.28498e6i | 0.293570 | − | 0.169493i | ||||
\(239\) | 1.16107e7 | 0.850483 | 0.425241 | − | 0.905080i | \(-0.360189\pi\) | ||||
0.425241 | + | 0.905080i | \(0.360189\pi\) | |||||||
\(240\) | 3.46809e6i | 0.250875i | ||||||||
\(241\) | −2.38729e7 | + | 1.37830e7i | −1.70551 | + | 0.984677i | −0.765563 | + | 0.643361i | \(0.777540\pi\) |
−0.939948 | + | 0.341317i | \(0.889127\pi\) | |||||||
\(242\) | −5.80204e6 | − | 3.34981e6i | −0.409388 | − | 0.236360i | ||||
\(243\) | 1.38319e7 | − | 7.98587e6i | 0.963971 | − | 0.556549i | ||||
\(244\) | −4.82332e6 | + | 8.35423e6i | −0.332029 | + | 0.575092i | ||||
\(245\) | 1.10201e6 | − | 1.90873e6i | 0.0749352 | − | 0.129792i | ||||
\(246\) | − | 8.08590e6i | − | 0.543154i | ||||||
\(247\) | −1.08360e7 | − | 1.15516e7i | −0.719079 | − | 0.766569i | ||||
\(248\) | 9.03775e6 | 0.592523 | ||||||||
\(249\) | −3.02154e7 | − | 1.74449e7i | −1.95718 | − | 1.12998i | ||||
\(250\) | 1.03921e7 | + | 5.99988e6i | 0.665094 | + | 0.383992i | ||||
\(251\) | 3.91651e6 | + | 6.78359e6i | 0.247672 | + | 0.428981i | 0.962880 | − | 0.269931i | \(-0.0870010\pi\) |
−0.715207 | + | 0.698913i | \(0.753668\pi\) | |||||||
\(252\) | −2.78916e6 | + | 4.83097e6i | −0.174290 | + | 0.301879i | ||||
\(253\) | 5.88045e6 | + | 1.01852e7i | 0.363119 | + | 0.628941i | ||||
\(254\) | 1.92171e6 | 0.117270 | ||||||||
\(255\) | − | 7.30876e6i | − | 0.440781i | ||||||
\(256\) | −524288. | − | 908093.i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 1.86906e7 | − | 1.07910e7i | 1.10109 | − | 0.635715i | 0.164583 | − | 0.986363i | \(-0.447372\pi\) |
0.936507 | + | 0.350648i | \(0.114039\pi\) | |||||||
\(258\) | −4.42020e6 | −0.257385 | ||||||||
\(259\) | − | 1.22015e7i | − | 0.702285i | ||||||
\(260\) | −6.27049e6 | + | 3.62027e6i | −0.356764 | + | 0.205978i | ||||
\(261\) | −7.69188e6 | − | 4.44091e6i | −0.432624 | − | 0.249776i | ||||
\(262\) | −1.16943e6 | + | 675171.i | −0.0650235 | + | 0.0375413i | ||||
\(263\) | −1.09680e7 | + | 1.89971e7i | −0.602920 | + | 1.04429i | 0.389456 | + | 0.921045i | \(0.372663\pi\) |
−0.992376 | + | 0.123244i | \(0.960670\pi\) | |||||||
\(264\) | 2.39728e6 | − | 4.15222e6i | 0.130289 | − | 0.225667i | ||||
\(265\) | − | 4.94256e6i | − | 0.265591i | ||||||
\(266\) | −4.20571e6 | + | 1.39029e7i | −0.223457 | + | 0.738688i | ||||
\(267\) | 6.66153e6 | 0.349978 | ||||||||
\(268\) | −426.950 | − | 246.500i | −2.21806e−5 | − | 1.28060e-5i | ||||
\(269\) | −2.37170e6 | − | 1.36930e6i | −0.121844 | − | 0.0703466i | 0.437839 | − | 0.899053i | \(-0.355744\pi\) |
−0.559683 | + | 0.828707i | \(0.689077\pi\) | |||||||
\(270\) | −2.52262e6 | − | 4.36930e6i | −0.128162 | − | 0.221983i | ||||
\(271\) | −7.37135e6 | + | 1.27676e7i | −0.370373 | + | 0.641505i | −0.989623 | − | 0.143689i | \(-0.954103\pi\) |
0.619250 | + | 0.785194i | \(0.287437\pi\) | |||||||
\(272\) | 1.10490e6 | + | 1.91374e6i | 0.0549055 | + | 0.0950992i | ||||
\(273\) | −2.98785e7 | −1.46849 | ||||||||
\(274\) | − | 6.32015e6i | − | 0.307238i | ||||||
\(275\) | −2.30794e6 | − | 3.99747e6i | −0.110975 | − | 0.192215i | ||||
\(276\) | 1.47008e7 | − | 8.48752e6i | 0.699221 | − | 0.403695i | ||||
\(277\) | 7.08163e6 | 0.333191 | 0.166596 | − | 0.986025i | \(-0.446723\pi\) | ||||
0.166596 | + | 0.986025i | \(0.446723\pi\) | |||||||
\(278\) | 3.33312e6i | 0.155137i | ||||||||
\(279\) | 2.01343e7 | − | 1.16245e7i | 0.927092 | − | 0.535257i | ||||
\(280\) | 5.75053e6 | + | 3.32007e6i | 0.261959 | + | 0.151242i | ||||
\(281\) | 1.10420e7 | − | 6.37512e6i | 0.497657 | − | 0.287322i | −0.230088 | − | 0.973170i | \(-0.573902\pi\) |
0.727746 | + | 0.685847i | \(0.240568\pi\) | |||||||
\(282\) | 2.86894e6 | − | 4.96914e6i | 0.127930 | − | 0.221582i | ||||
\(283\) | 1.11998e7 | − | 1.93985e7i | 0.494139 | − | 0.855874i | −0.505838 | − | 0.862628i | \(-0.668817\pi\) |
0.999977 | + | 0.00675455i | \(0.00215006\pi\) | |||||||
\(284\) | 1.16495e7i | 0.508571i | ||||||||
\(285\) | 1.58930e7 | + | 1.69426e7i | 0.686548 | + | 0.731889i | ||||
\(286\) | 1.00099e7 | 0.427890 | ||||||||
\(287\) | −1.34074e7 | − | 7.74079e6i | −0.567153 | − | 0.327446i | ||||
\(288\) | −2.33601e6 | − | 1.34870e6i | −0.0977907 | − | 0.0564595i | ||||
\(289\) | 9.74029e6 | + | 1.68707e7i | 0.403532 | + | 0.698938i | ||||
\(290\) | −5.28622e6 | + | 9.15601e6i | −0.216746 | + | 0.375415i | ||||
\(291\) | 2.74984e7 | + | 4.76287e7i | 1.11591 | + | 1.93281i | ||||
\(292\) | −3.90912e6 | −0.157011 | ||||||||
\(293\) | 3.83622e7i | 1.52511i | 0.646924 | + | 0.762554i | \(0.276055\pi\) | ||||
−0.646924 | + | 0.762554i | \(0.723945\pi\) | |||||||
\(294\) | 2.19894e6 | + | 3.80867e6i | 0.0865309 | + | 0.149876i | ||||
\(295\) | 2.63226e7 | − | 1.51973e7i | 1.02533 | − | 0.591973i | ||||
\(296\) | 5.90002e6 | 0.227498 | ||||||||
\(297\) | 6.97493e6i | 0.266238i | ||||||||
\(298\) | 2.51685e7 | − | 1.45310e7i | 0.951060 | − | 0.549095i | ||||
\(299\) | 3.06918e7 | + | 1.77199e7i | 1.14818 | + | 0.662900i | ||||
\(300\) | −5.76973e6 | + | 3.33116e6i | −0.213694 | + | 0.123376i | ||||
\(301\) | −4.23154e6 | + | 7.32924e6i | −0.155167 | + | 0.268757i | ||||
\(302\) | −7.84816e6 | + | 1.35934e7i | −0.284936 | + | 0.493523i | ||||
\(303\) | − | 2.22447e7i | − | 0.799649i | ||||||
\(304\) | −6.72275e6 | − | 2.03367e6i | −0.239291 | − | 0.0723869i | ||||
\(305\) | 2.95389e7 | 1.04111 | ||||||||
\(306\) | 4.92298e6 | + | 2.84228e6i | 0.171816 | + | 0.0991981i | ||||
\(307\) | −4.75475e7 | − | 2.74515e7i | −1.64328 | − | 0.948750i | −0.979656 | − | 0.200686i | \(-0.935683\pi\) |
−0.663627 | − | 0.748063i | \(-0.730984\pi\) | |||||||
\(308\) | −4.58993e6 | − | 7.94999e6i | −0.157092 | − | 0.272091i | ||||
\(309\) | −3.46638e7 | + | 6.00394e7i | −1.17490 | + | 2.03498i | ||||
\(310\) | −1.38372e7 | − | 2.39668e7i | −0.464476 | − | 0.804496i | ||||
\(311\) | −4.08455e7 | −1.35788 | −0.678942 | − | 0.734192i | \(-0.737561\pi\) | ||||
−0.678942 | + | 0.734192i | \(0.737561\pi\) | |||||||
\(312\) | − | 1.44477e7i | − | 0.475703i | ||||||
\(313\) | −5.44048e6 | − | 9.42318e6i | −0.177421 | − | 0.307301i | 0.763576 | − | 0.645718i | \(-0.223442\pi\) |
−0.940996 | + | 0.338417i | \(0.890109\pi\) | |||||||
\(314\) | −2.65033e7 | + | 1.53017e7i | −0.856074 | + | 0.494254i | ||||
\(315\) | 1.70813e7 | 0.546500 | ||||||||
\(316\) | − | 2.37968e7i | − | 0.754151i | ||||||
\(317\) | 3.25508e7 | − | 1.87932e7i | 1.02184 | − | 0.589961i | 0.107206 | − | 0.994237i | \(-0.465810\pi\) |
0.914637 | + | 0.404276i | \(0.132476\pi\) | |||||||
\(318\) | 8.54105e6 | + | 4.93118e6i | 0.265601 | + | 0.153345i | ||||
\(319\) | 1.26580e7 | − | 7.30810e6i | 0.389936 | − | 0.225129i | ||||
\(320\) | −1.60542e6 | + | 2.78067e6i | −0.0489935 | + | 0.0848592i | ||||
\(321\) | −4.15560e7 | + | 7.19771e7i | −1.25637 | + | 2.17610i | ||||
\(322\) | − | 3.25011e7i | − | 0.973487i | ||||||
\(323\) | 1.41677e7 | + | 4.28582e6i | 0.420429 | + | 0.127182i | ||||
\(324\) | 2.09302e7 | 0.615372 | ||||||||
\(325\) | −1.20458e7 | − | 6.95466e6i | −0.350902 | − | 0.202594i | ||||
\(326\) | −4.04320e7 | − | 2.33434e7i | −1.16700 | − | 0.673770i | ||||
\(327\) | 6.66108e6 | + | 1.15373e7i | 0.190503 | + | 0.329961i | ||||
\(328\) | 3.74306e6 | − | 6.48316e6i | 0.106073 | − | 0.183724i | ||||
\(329\) | −5.49297e6 | − | 9.51411e6i | −0.154248 | − | 0.267166i | ||||
\(330\) | −1.46814e7 | −0.408532 | ||||||||
\(331\) | 2.72676e6i | 0.0751906i | 0.999293 | + | 0.0375953i | \(0.0119698\pi\) | ||||
−0.999293 | + | 0.0375953i | \(0.988030\pi\) | |||||||
\(332\) | −1.61508e7 | − | 2.79741e7i | −0.441348 | − | 0.764436i | ||||
\(333\) | 1.31440e7 | − | 7.58871e6i | 0.355956 | − | 0.205511i | ||||
\(334\) | 4.70478e7 | 1.26270 | ||||||||
\(335\) | 1509.61i | 4.01541e-5i | ||||||||
\(336\) | −1.14746e7 | + | 6.62485e6i | −0.302496 | + | 0.174646i | ||||
\(337\) | 4.45571e6 | + | 2.57251e6i | 0.116420 | + | 0.0672151i | 0.557079 | − | 0.830459i | \(-0.311922\pi\) |
−0.440659 | + | 0.897674i | \(0.645255\pi\) | |||||||
\(338\) | 2.47584e6 | − | 1.42943e6i | 0.0641169 | − | 0.0370179i | ||||
\(339\) | 2.90726e7 | − | 5.03552e7i | 0.746250 | − | 1.29254i | ||||
\(340\) | 3.38331e6 | − | 5.86006e6i | 0.0860804 | − | 0.149096i | ||||
\(341\) | 3.82593e7i | 0.964882i | ||||||||
\(342\) | −1.75927e7 | + | 4.11632e6i | −0.439798 | + | 0.102904i | ||||
\(343\) | −3.56222e7 | −0.882751 | ||||||||
\(344\) | −3.54405e6 | − | 2.04616e6i | −0.0870612 | − | 0.0502648i | ||||
\(345\) | −4.50153e7 | − | 2.59896e7i | −1.09623 | − | 0.632910i | ||||
\(346\) | 1.14891e7 | + | 1.98997e7i | 0.277368 | + | 0.480416i | ||||
\(347\) | 2.12035e7 | − | 3.67256e7i | 0.507481 | − | 0.878983i | −0.492481 | − | 0.870323i | \(-0.663910\pi\) |
0.999962 | − | 0.00866028i | \(-0.00275669\pi\) | |||||||
\(348\) | −1.05481e7 | − | 1.82699e7i | −0.250286 | − | 0.433508i | ||||
\(349\) | 1.57317e7 | 0.370082 | 0.185041 | − | 0.982731i | \(-0.440758\pi\) | ||||
0.185041 | + | 0.982731i | \(0.440758\pi\) | |||||||
\(350\) | 1.27559e7i | 0.297514i | ||||||||
\(351\) | 1.05090e7 | + | 1.82021e7i | 0.243019 | + | 0.420920i | ||||
\(352\) | 3.84422e6 | − | 2.21946e6i | 0.0881414 | − | 0.0508884i | ||||
\(353\) | −3.06751e7 | −0.697367 | −0.348684 | − | 0.937240i | \(-0.613371\pi\) | ||||
−0.348684 | + | 0.937240i | \(0.613371\pi\) | |||||||
\(354\) | 6.06494e7i | 1.36715i | ||||||||
\(355\) | 3.08927e7 | − | 1.78359e7i | 0.690510 | − | 0.398666i | ||||
\(356\) | 5.34112e6 | + | 3.08370e6i | 0.118381 | + | 0.0683473i | ||||
\(357\) | 2.41819e7 | − | 1.39614e7i | 0.531478 | − | 0.306849i | ||||
\(358\) | 1.07847e7 | − | 1.86797e7i | 0.235050 | − | 0.407118i | ||||
\(359\) | −3.45503e6 | + | 5.98429e6i | −0.0746738 | + | 0.129339i | −0.900944 | − | 0.433935i | \(-0.857125\pi\) |
0.826271 | + | 0.563273i | \(0.190458\pi\) | |||||||
\(360\) | 8.25967e6i | 0.177033i | ||||||||
\(361\) | −4.21621e7 | + | 2.08728e7i | −0.896190 | + | 0.443670i | ||||
\(362\) | 2.01362e7 | 0.424475 | ||||||||
\(363\) | −3.54510e7 | − | 2.04676e7i | −0.741153 | − | 0.427905i | ||||
\(364\) | −2.39562e7 | − | 1.38311e7i | −0.496722 | − | 0.286782i | ||||
\(365\) | 5.98504e6 | + | 1.03664e7i | 0.123080 | + | 0.213181i | ||||
\(366\) | −2.94709e7 | + | 5.10451e7i | −0.601104 | + | 1.04114i | ||||
\(367\) | −8.85170e6 | − | 1.53316e7i | −0.179072 | − | 0.310162i | 0.762491 | − | 0.646999i | \(-0.223976\pi\) |
−0.941563 | + | 0.336837i | \(0.890643\pi\) | |||||||
\(368\) | 1.57159e7 | 0.315352 | ||||||||
\(369\) | − | 1.92575e7i | − | 0.383285i | ||||||
\(370\) | −9.03320e6 | − | 1.56460e7i | −0.178335 | − | 0.308885i | ||||
\(371\) | 1.63530e7 | − | 9.44142e6i | 0.320241 | − | 0.184891i | ||||
\(372\) | 5.52214e7 | 1.07270 | ||||||||
\(373\) | − | 7.34707e7i | − | 1.41575i | −0.706336 | − | 0.707877i | \(-0.749653\pi\) | ||
0.706336 | − | 0.707877i | \(-0.250347\pi\) | |||||||
\(374\) | −8.10141e6 | + | 4.67735e6i | −0.154862 | + | 0.0894098i | ||||
\(375\) | 6.34965e7 | + | 3.66598e7i | 1.20408 | + | 0.695177i | ||||
\(376\) | 4.60054e6 | − | 2.65612e6i | 0.0865457 | − | 0.0499672i | ||||
\(377\) | 2.20219e7 | − | 3.81431e7i | 0.410990 | − | 0.711855i | ||||
\(378\) | 9.63756e6 | − | 1.66927e7i | 0.178440 | − | 0.309067i | ||||
\(379\) | 197037.i | 0.00361935i | 0.999998 | + | 0.00180968i | \(0.000576038\pi\) | ||||
−0.999998 | + | 0.00180968i | \(0.999424\pi\) | |||||||
\(380\) | 4.89985e6 | + | 2.09414e7i | 0.0892960 | + | 0.381640i | ||||
\(381\) | 1.17418e7 | 0.212305 | ||||||||
\(382\) | 2.38339e7 | + | 1.37605e7i | 0.427568 | + | 0.246856i | ||||
\(383\) | −8.94882e7 | − | 5.16660e7i | −1.59283 | − | 0.919621i | −0.992819 | − | 0.119629i | \(-0.961829\pi\) |
−0.600011 | − | 0.799991i | \(-0.704837\pi\) | |||||||
\(384\) | −3.20344e6 | − | 5.54853e6i | −0.0565749 | − | 0.0979905i | ||||
\(385\) | −1.40548e7 | + | 2.43436e7i | −0.246287 | + | 0.426582i | ||||
\(386\) | 1.36355e7 | + | 2.36174e7i | 0.237088 | + | 0.410649i | ||||
\(387\) | −1.05272e7 | −0.181627 | ||||||||
\(388\) | 5.09173e7i | 0.871707i | ||||||||
\(389\) | −2.76183e7 | − | 4.78363e7i | −0.469189 | − | 0.812659i | 0.530191 | − | 0.847878i | \(-0.322120\pi\) |
−0.999380 | + | 0.0352194i | \(0.988787\pi\) | |||||||
\(390\) | −3.83132e7 | + | 2.21202e7i | −0.645885 | + | 0.372902i | ||||
\(391\) | −3.31201e7 | −0.554066 | ||||||||
\(392\) | 4.07165e6i | 0.0675947i | ||||||||
\(393\) | −7.14532e6 | + | 4.12535e6i | −0.117718 | + | 0.0679647i | ||||
\(394\) | 6.50829e6 | + | 3.75757e6i | 0.106409 | + | 0.0614353i | ||||
\(395\) | −6.31057e7 | + | 3.64341e7i | −1.02395 | + | 0.591175i | ||||
\(396\) | 5.70942e6 | − | 9.88900e6i | 0.0919403 | − | 0.159245i | ||||
\(397\) | 4.86568e7 | − | 8.42760e7i | 0.777628 | − | 1.34689i | −0.155678 | − | 0.987808i | \(-0.549756\pi\) |
0.933306 | − | 0.359083i | \(-0.116910\pi\) | |||||||
\(398\) | − | 5.71431e7i | − | 0.906389i | ||||||
\(399\) | −2.56973e7 | + | 8.49480e7i | −0.404546 | + | 1.33732i | ||||
\(400\) | −6.16812e6 | −0.0963769 | ||||||||
\(401\) | −3.92010e7 | − | 2.26327e7i | −0.607945 | − | 0.350997i | 0.164216 | − | 0.986424i | \(-0.447491\pi\) |
−0.772161 | + | 0.635427i | \(0.780824\pi\) | |||||||
\(402\) | −2608.70 | − | 1506.13i | −4.01556e−5 | − | 2.31838e-5i | ||||
\(403\) | 5.76445e7 | + | 9.98432e7i | 0.880730 | + | 1.52547i | ||||
\(404\) | 1.02973e7 | − | 1.78355e7i | 0.156164 | − | 0.270484i | ||||
\(405\) | −3.20451e7 | − | 5.55037e7i | −0.482387 | − | 0.835520i | ||||
\(406\) | −4.03916e7 | −0.603550 | ||||||||
\(407\) | 2.49764e7i | 0.370465i | ||||||||
\(408\) | 6.75103e6 | + | 1.16931e7i | 0.0994008 | + | 0.172167i | ||||
\(409\) | 2.18434e7 | − | 1.26113e7i | 0.319264 | − | 0.184327i | −0.331800 | − | 0.943350i | \(-0.607656\pi\) |
0.651065 | + | 0.759022i | \(0.274323\pi\) | |||||||
\(410\) | −2.29232e7 | −0.332601 | ||||||||
\(411\) | − | 3.86166e7i | − | 0.556223i | ||||||
\(412\) | −5.55858e7 | + | 3.20925e7i | −0.794827 | + | 0.458893i | ||||
\(413\) | 1.00564e8 | + | 5.80609e7i | 1.42756 | + | 0.824201i | ||||
\(414\) | 3.50117e7 | − | 2.02140e7i | 0.493415 | − | 0.284874i | ||||
\(415\) | −4.94554e7 | + | 8.56592e7i | −0.691941 | + | 1.19848i | ||||
\(416\) | 6.68802e6 | − | 1.15840e7i | 0.0929004 | − | 0.160908i | ||||
\(417\) | 2.03656e7i | 0.280860i | ||||||||
\(418\) | 8.60910e6 | − | 2.84593e7i | 0.117877 | − | 0.389668i | ||||
\(419\) | −3.22071e6 | −0.0437835 | −0.0218917 | − | 0.999760i | \(-0.506969\pi\) | ||||
−0.0218917 | + | 0.999760i | \(0.506969\pi\) | |||||||
\(420\) | 3.51362e7 | + | 2.02859e7i | 0.474250 | + | 0.273808i | ||||
\(421\) | 7.57246e7 | + | 4.37196e7i | 1.01482 | + | 0.585909i | 0.912600 | − | 0.408853i | \(-0.134071\pi\) |
0.102223 | + | 0.994761i | \(0.467404\pi\) | |||||||
\(422\) | 2.54384e7 | + | 4.40606e7i | 0.338496 | + | 0.586291i | ||||
\(423\) | 6.83271e6 | − | 1.18346e7i | 0.0902759 | − | 0.156362i | ||||
\(424\) | 4.56540e6 | + | 7.90750e6i | 0.0598937 | + | 0.103739i | ||||
\(425\) | 1.29989e7 | 0.169332 | ||||||||
\(426\) | 7.11793e7i | 0.920714i | ||||||||
\(427\) | 5.64261e7 | + | 9.77328e7i | 0.724763 | + | 1.25533i | ||||
\(428\) | −6.66380e7 | + | 3.84735e7i | −0.849944 | + | 0.490716i | ||||
\(429\) | 6.11614e7 | 0.774650 | ||||||||
\(430\) | 1.25311e7i | 0.157610i | ||||||||
\(431\) | 6.51446e7 | − | 3.76113e7i | 0.813667 | − | 0.469771i | −0.0345608 | − | 0.999403i | \(-0.511003\pi\) |
0.848228 | + | 0.529632i | \(0.177670\pi\) | |||||||
\(432\) | 8.07177e6 | + | 4.66024e6i | 0.100119 | + | 0.0578038i | ||||
\(433\) | 1.05864e8 | − | 6.11205e7i | 1.30402 | − | 0.752876i | 0.322928 | − | 0.946424i | \(-0.395333\pi\) |
0.981091 | + | 0.193548i | \(0.0619995\pi\) | |||||||
\(434\) | 5.28645e7 | − | 9.15640e7i | 0.646688 | − | 1.12010i | ||||
\(435\) | −3.22993e7 | + | 5.59440e7i | −0.392396 | + | 0.679651i | ||||
\(436\) | 1.23340e7i | 0.148814i | ||||||||
\(437\) | 7.67764e7 | − | 7.20201e7i | 0.919991 | − | 0.862997i | ||||
\(438\) | −2.38850e7 | −0.284252 | ||||||||
\(439\) | −7.93260e7 | − | 4.57989e7i | −0.937610 | − | 0.541329i | −0.0483996 | − | 0.998828i | \(-0.515412\pi\) |
−0.889210 | + | 0.457499i | \(0.848745\pi\) | |||||||
\(440\) | −1.17713e7 | − | 6.79619e6i | −0.138187 | − | 0.0797825i | ||||
\(441\) | 5.23703e6 | + | 9.07081e6i | 0.0610618 | + | 0.105762i | ||||
\(442\) | −1.40945e7 | + | 2.44124e7i | −0.163224 | + | 0.282712i | ||||
\(443\) | −2.81217e7 | − | 4.87083e7i | −0.323468 | − | 0.560262i | 0.657733 | − | 0.753251i | \(-0.271515\pi\) |
−0.981201 | + | 0.192989i | \(0.938182\pi\) | |||||||
\(444\) | 3.60496e7 | 0.411862 | ||||||||
\(445\) | − | 1.88851e7i | − | 0.214309i | ||||||
\(446\) | 3.34315e7 | + | 5.79050e7i | 0.376835 | + | 0.652697i | ||||
\(447\) | 1.53781e8 | − | 8.87858e7i | 1.72179 | − | 0.994079i | ||||
\(448\) | −1.22669e7 | −0.136427 | ||||||||
\(449\) | − | 7.28925e6i | − | 0.0805274i | −0.999189 | − | 0.0402637i | \(-0.987180\pi\) | ||
0.999189 | − | 0.0402637i | \(-0.0128198\pi\) | |||||||
\(450\) | −1.37413e7 | + | 7.93355e6i | −0.150796 | + | 0.0870623i | ||||
\(451\) | 2.74451e7 | + | 1.58454e7i | 0.299181 | + | 0.172732i | ||||
\(452\) | 4.66200e7 | − | 2.69161e7i | 0.504843 | − | 0.291471i | ||||
\(453\) | −4.79529e7 | + | 8.30569e7i | −0.515846 | + | 0.893472i | ||||
\(454\) | 3.60115e7 | − | 6.23738e7i | 0.384834 | − | 0.666553i | ||||
\(455\) | 8.47042e7i | 0.899230i | ||||||||
\(456\) | −4.10766e7 | − | 1.24259e7i | −0.433211 | − | 0.131049i | ||||
\(457\) | −1.61947e8 | −1.69677 | −0.848386 | − | 0.529378i | \(-0.822425\pi\) | ||||
−0.848386 | + | 0.529378i | \(0.822425\pi\) | |||||||
\(458\) | 6.01477e7 | + | 3.47263e7i | 0.626069 | + | 0.361461i | ||||
\(459\) | −1.70107e7 | − | 9.82112e6i | −0.175907 | − | 0.101560i | ||||
\(460\) | −2.40617e7 | − | 4.16761e7i | −0.247203 | − | 0.428168i | ||||
\(461\) | −4.32401e7 | + | 7.48940e7i | −0.441350 | + | 0.764441i | −0.997790 | − | 0.0664467i | \(-0.978834\pi\) |
0.556440 | + | 0.830888i | \(0.312167\pi\) | |||||||
\(462\) | −2.80449e7 | − | 4.85751e7i | −0.284399 | − | 0.492593i | ||||
\(463\) | −5.44783e7 | −0.548884 | −0.274442 | − | 0.961604i | \(-0.588493\pi\) | ||||
−0.274442 | + | 0.961604i | \(0.588493\pi\) | |||||||
\(464\) | − | 1.95313e7i | − | 0.195514i | ||||||
\(465\) | −8.45465e7 | − | 1.46439e8i | −0.840886 | − | 1.45646i | ||||
\(466\) | −4.09163e7 | + | 2.36231e7i | −0.404333 | + | 0.233442i | ||||
\(467\) | −1.44659e8 | −1.42034 | −0.710172 | − | 0.704028i | \(-0.751383\pi\) | ||||
−0.710172 | + | 0.704028i | \(0.751383\pi\) | |||||||
\(468\) | − | 3.44090e7i | − | 0.335687i | ||||||
\(469\) | −4994.72 | + | 2883.70i | −4.84164e−5 | + | 2.79532e-5i | ||||
\(470\) | −1.40873e7 | − | 8.13330e6i | −0.135686 | − | 0.0783381i | ||||
\(471\) | −1.61938e8 | + | 9.34947e7i | −1.54983 | + | 0.894796i | ||||
\(472\) | −2.80753e7 | + | 4.86278e7i | −0.266992 | + | 0.462444i | ||||
\(473\) | 8.66197e6 | − | 1.50030e7i | 0.0818527 | − | 0.141773i | ||||
\(474\) | − | 1.45401e8i | − | 1.36531i | ||||||
\(475\) | −3.01330e7 | + | 2.82662e7i | −0.281165 | + | 0.263747i | ||||
\(476\) | 2.58516e7 | 0.239699 | ||||||||
\(477\) | 2.03415e7 | + | 1.17442e7i | 0.187425 | + | 0.108210i | ||||
\(478\) | 5.68807e7 | + | 3.28401e7i | 0.520812 | + | 0.300691i | ||||
\(479\) | −9.06786e6 | − | 1.57060e7i | −0.0825084 | − | 0.142909i | 0.821818 | − | 0.569750i | \(-0.192960\pi\) |
−0.904327 | + | 0.426841i | \(0.859626\pi\) | |||||||
\(480\) | −9.80924e6 | + | 1.69901e7i | −0.0886976 | + | 0.153629i | ||||
\(481\) | 3.76315e7 | + | 6.51796e7i | 0.338155 | + | 0.585702i | ||||
\(482\) | −1.55937e8 | −1.39254 | ||||||||
\(483\) | − | 1.98584e8i | − | 1.76240i | ||||||
\(484\) | −1.89494e7 | − | 3.28213e7i | −0.167132 | − | 0.289481i | ||||
\(485\) | 1.35025e8 | − | 7.79568e7i | 1.18356 | − | 0.683327i | ||||
\(486\) | 9.03498e7 | 0.787079 | ||||||||
\(487\) | 8.77636e7i | 0.759850i | 0.925017 | + | 0.379925i | \(0.124050\pi\) | ||||
−0.925017 | + | 0.379925i | \(0.875950\pi\) | |||||||
\(488\) | −4.72587e7 | + | 2.72848e7i | −0.406651 | + | 0.234780i | ||||
\(489\) | −2.47043e8 | − | 1.42630e8i | −2.11274 | − | 1.21979i | ||||
\(490\) | 1.07974e7 | − | 6.23389e6i | 0.0917765 | − | 0.0529872i | ||||
\(491\) | −3.95913e7 | + | 6.85742e7i | −0.334469 | + | 0.579317i | −0.983383 | − | 0.181545i | \(-0.941890\pi\) |
0.648914 | + | 0.760862i | \(0.275224\pi\) | |||||||
\(492\) | 2.28704e7 | − | 3.96127e7i | 0.192034 | − | 0.332613i | ||||
\(493\) | 4.11609e7i | 0.343514i | ||||||||
\(494\) | −2.04123e7 | − | 8.72398e7i | −0.169321 | − | 0.723658i | ||||
\(495\) | −3.49655e7 | −0.288287 | ||||||||
\(496\) | 4.42757e7 | + | 2.55626e7i | 0.362845 | + | 0.209489i | ||||
\(497\) | 1.18024e8 | + | 6.81413e7i | 0.961395 | + | 0.555062i | ||||
\(498\) | −9.86830e7 | − | 1.70924e8i | −0.799014 | − | 1.38393i | ||||
\(499\) | 5.43720e7 | − | 9.41750e7i | 0.437596 | − | 0.757939i | −0.559907 | − | 0.828555i | \(-0.689163\pi\) |
0.997504 | + | 0.0706164i | \(0.0224966\pi\) | |||||||
\(500\) | 3.39404e7 | + | 5.87865e7i | 0.271523 | + | 0.470292i | ||||
\(501\) | 2.87466e8 | 2.28599 | ||||||||
\(502\) | 4.43102e7i | 0.350262i | ||||||||
\(503\) | −7.97164e7 | − | 1.38073e8i | −0.626389 | − | 1.08494i | −0.988271 | − | 0.152713i | \(-0.951199\pi\) |
0.361882 | − | 0.932224i | \(-0.382134\pi\) | |||||||
\(504\) | −2.73281e7 | + | 1.57779e7i | −0.213461 | + | 0.123241i | ||||
\(505\) | −6.30628e7 | −0.489665 | ||||||||
\(506\) | 6.65297e7i | 0.513528i | ||||||||
\(507\) | 1.51276e7 | − | 8.73392e6i | 0.116077 | − | 0.0670171i | ||||
\(508\) | 9.41442e6 | + | 5.43542e6i | 0.0718129 | + | 0.0414612i | ||||
\(509\) | −4.16751e7 | + | 2.40611e7i | −0.316026 | + | 0.182458i | −0.649620 | − | 0.760259i | \(-0.725072\pi\) |
0.333594 | + | 0.942717i | \(0.391739\pi\) | |||||||
\(510\) | 2.06723e7 | − | 3.58055e7i | 0.155840 | − | 0.269922i | ||||
\(511\) | −2.28656e7 | + | 3.96044e7i | −0.171364 | + | 0.296811i | ||||
\(512\) | − | 5.93164e6i | − | 0.0441942i | ||||||
\(513\) | 6.07890e7 | − | 1.42234e7i | 0.450270 | − | 0.105354i | ||||
\(514\) | 1.22086e8 | 0.899037 | ||||||||
\(515\) | 1.70209e8 | + | 9.82702e7i | 1.24612 | + | 0.719449i | ||||
\(516\) | −2.16545e7 | − | 1.25022e7i | −0.157615 | − | 0.0909992i | ||||
\(517\) | 1.12441e7 | + | 1.94754e7i | 0.0813681 | + | 0.140934i | ||||
\(518\) | 3.45110e7 | − | 5.97748e7i | 0.248295 | − | 0.430060i | ||||
\(519\) | 7.01992e7 | + | 1.21589e8i | 0.502146 | + | 0.869743i | ||||
\(520\) | −4.09587e7 | −0.291297 | ||||||||
\(521\) | 3.82494e7i | 0.270465i | 0.990814 | + | 0.135233i | \(0.0431781\pi\) | ||||
−0.990814 | + | 0.135233i | \(0.956822\pi\) | |||||||
\(522\) | −2.51216e7 | − | 4.35118e7i | −0.176618 | − | 0.305912i | ||||
\(523\) | −9.30208e7 | + | 5.37056e7i | −0.650242 | + | 0.375418i | −0.788549 | − | 0.614972i | \(-0.789167\pi\) |
0.138307 | + | 0.990389i | \(0.455834\pi\) | |||||||
\(524\) | −7.63869e6 | −0.0530915 | ||||||||
\(525\) | 7.79398e7i | 0.538619i | ||||||||
\(526\) | −1.07464e8 | + | 6.20444e7i | −0.738424 | + | 0.426329i | ||||
\(527\) | −9.33080e7 | − | 5.38714e7i | −0.637510 | − | 0.368067i | ||||
\(528\) | 2.34885e7 | − | 1.35611e7i | 0.159571 | − | 0.0921282i | ||||
\(529\) | −4.37554e7 | + | 7.57867e7i | −0.295573 | + | 0.511948i | ||||
\(530\) | 1.39797e7 | − | 2.42135e7i | 0.0939008 | − | 0.162641i | ||||
\(531\) | 1.44444e8i | 0.964751i | ||||||||
\(532\) | −5.99271e7 | + | 5.62146e7i | −0.398005 | + | 0.373348i | ||||
\(533\) | 9.54957e7 | 0.630670 | ||||||||
\(534\) | 3.26347e7 | + | 1.88417e7i | 0.214317 | + | 0.123736i | ||||
\(535\) | 2.04052e8 | + | 1.17809e8i | 1.33254 | + | 0.769340i | ||||
\(536\) | −1394.41 | − | 2415.19i | −9.05518e−6 | − | 1.56840e-5i | ||||
\(537\) | 6.58955e7 | − | 1.14134e8i | 0.425533 | − | 0.737044i | ||||
\(538\) | −7.74595e6 | − | 1.34164e7i | −0.0497425 | − | 0.0861566i | ||||
\(539\) | −1.72365e7 | −0.110073 | ||||||||
\(540\) | − | 2.85402e7i | − | 0.181249i | ||||||
\(541\) | 9.47203e7 | + | 1.64060e8i | 0.598206 | + | 1.03612i | 0.993086 | + | 0.117391i | \(0.0374531\pi\) |
−0.394879 | + | 0.918733i | \(0.629214\pi\) | |||||||
\(542\) | −7.22242e7 | + | 4.16987e7i | −0.453612 | + | 0.261893i | ||||
\(543\) | 1.23034e8 | 0.768468 | ||||||||
\(544\) | 1.25005e7i | 0.0776482i | ||||||||
\(545\) | 3.27078e7 | − | 1.88839e7i | 0.202051 | − | 0.116654i | ||||
\(546\) | −1.46374e8 | − | 8.45092e7i | −0.899263 | − | 0.519190i | ||||
\(547\) | 4.00464e7 | − | 2.31208e7i | 0.244681 | − | 0.141267i | −0.372645 | − | 0.927974i | \(-0.621549\pi\) |
0.617327 | + | 0.786707i | \(0.288216\pi\) | |||||||
\(548\) | 1.78761e7 | − | 3.09623e7i | 0.108625 | − | 0.188144i | ||||
\(549\) | −7.01884e7 | + | 1.21570e8i | −0.424178 | + | 0.734698i | ||||
\(550\) | − | 2.61114e7i | − | 0.156943i | ||||||
\(551\) | −8.95050e7 | − | 9.54161e7i | −0.535047 | − | 0.570383i | ||||
\(552\) | 9.60253e7 | 0.570911 | ||||||||
\(553\) | −2.41093e8 | − | 1.39195e8i | −1.42564 | − | 0.823091i | ||||
\(554\) | 3.46927e7 | + | 2.00299e7i | 0.204037 | + | 0.117801i | ||||
\(555\) | −5.51936e7 | − | 9.55982e7i | −0.322857 | − | 0.559204i | ||||
\(556\) | −9.42748e6 | + | 1.63289e7i | −0.0548493 | + | 0.0950018i | ||||
\(557\) | 1.47902e8 | + | 2.56175e8i | 0.855874 | + | 1.48242i | 0.875832 | + | 0.482616i | \(0.160313\pi\) |
−0.0199580 | + | 0.999801i | \(0.506353\pi\) | |||||||
\(558\) | 1.31516e8 | 0.756968 | ||||||||
\(559\) | − | 5.22032e7i | − | 0.298856i | ||||||
\(560\) | 1.87812e7 | + | 3.25299e7i | 0.106944 | + | 0.185233i | ||||
\(561\) | −4.95003e7 | + | 2.85790e7i | −0.280362 | + | 0.161867i | ||||
\(562\) | 7.21263e7 | 0.406335 | ||||||||
\(563\) | − | 3.06141e7i | − | 0.171552i | −0.996314 | − | 0.0857760i | \(-0.972663\pi\) | ||
0.996314 | − | 0.0857760i | \(-0.0273369\pi\) | |||||||
\(564\) | 2.81097e7 | − | 1.62291e7i | 0.156682 | − | 0.0904604i | ||||
\(565\) | −1.42755e8 | − | 8.24194e7i | −0.791489 | − | 0.456966i | ||||
\(566\) | 1.09735e8 | − | 6.33554e7i | 0.605194 | − | 0.349409i | ||||
\(567\) | 1.22427e8 | − | 2.12050e8i | 0.671626 | − | 1.16329i | ||||
\(568\) | −3.29497e7 | + | 5.70705e7i | −0.179807 | + | 0.311435i | ||||
\(569\) | − | 1.17657e7i | − | 0.0638679i | −0.999490 | − | 0.0319340i | \(-0.989833\pi\) | ||
0.999490 | − | 0.0319340i | \(-0.0101666\pi\) | |||||||
\(570\) | 2.99385e7 | + | 1.27954e8i | 0.161661 | + | 0.690920i | ||||
\(571\) | −3.98246e7 | −0.213916 | −0.106958 | − | 0.994264i | \(-0.534111\pi\) | ||||
−0.106958 | + | 0.994264i | \(0.534111\pi\) | |||||||
\(572\) | 4.90383e7 | + | 2.83123e7i | 0.262028 | + | 0.151282i | ||||
\(573\) | 1.45627e8 | + | 8.40778e7i | 0.774066 | + | 0.446907i | ||||
\(574\) | −4.37885e7 | − | 7.58439e7i | −0.231539 | − | 0.401038i | ||||
\(575\) | 4.62234e7 | − | 8.00612e7i | 0.243141 | − | 0.421132i | ||||
\(576\) | −7.62938e6 | − | 1.32145e7i | −0.0399229 | − | 0.0691485i | ||||
\(577\) | 6.91672e7 | 0.360058 | 0.180029 | − | 0.983661i | \(-0.442381\pi\) | ||||
0.180029 | + | 0.983661i | \(0.442381\pi\) | |||||||
\(578\) | 1.10199e8i | 0.570681i | ||||||||
\(579\) | 8.33142e7 | + | 1.44304e8i | 0.429223 | + | 0.743437i | ||||
\(580\) | −5.17942e7 | + | 2.99034e7i | −0.265459 | + | 0.153263i | ||||
\(581\) | −3.77884e8 | −1.92677 | ||||||||
\(582\) | 3.11109e8i | 1.57813i | ||||||||
\(583\) | −3.34747e7 | + | 1.93266e7i | −0.168931 | + | 0.0975326i | ||||
\(584\) | −1.91507e7 | − | 1.10567e7i | −0.0961492 | − | 0.0555118i | ||||
\(585\) | −9.12475e7 | + | 5.26818e7i | −0.455778 | + | 0.263144i | ||||
\(586\) | −1.08505e8 | + | 1.87936e8i | −0.539207 | + | 0.933934i | ||||
\(587\) | −7.45290e7 | + | 1.29088e8i | −0.368477 | + | 0.638222i | −0.989328 | − | 0.145708i | \(-0.953454\pi\) |
0.620850 | + | 0.783929i | \(0.286787\pi\) | |||||||
\(588\) | 2.48781e7i | 0.122373i | ||||||||
\(589\) | 3.33443e8 | − | 7.80189e7i | 1.63183 | − | 0.381816i | ||||
\(590\) | 1.71938e8 | 0.837176 | ||||||||
\(591\) | 3.97662e7 | + | 2.29590e7i | 0.192642 | + | 0.111222i | ||||
\(592\) | 2.89041e7 | + | 1.66878e7i | 0.139314 | + | 0.0804328i | ||||
\(593\) | −1.61002e8 | − | 2.78864e8i | −0.772090 | − | 1.33730i | −0.936416 | − | 0.350892i | \(-0.885878\pi\) |
0.164326 | − | 0.986406i | \(-0.447455\pi\) | |||||||
\(594\) | −1.97281e7 | + | 3.41701e7i | −0.0941295 | + | 0.163037i | ||||
\(595\) | −3.95800e7 | − | 6.85545e7i | −0.187899 | − | 0.325451i | ||||
\(596\) | 1.64400e8 | 0.776537 | ||||||||
\(597\) | − | 3.49149e8i | − | 1.64092i | ||||||
\(598\) | 1.00239e8 | + | 1.73619e8i | 0.468741 | + | 0.811883i | ||||
\(599\) | 9.06585e7 | − | 5.23417e7i | 0.421821 | − | 0.243538i | −0.274035 | − | 0.961720i | \(-0.588359\pi\) |
0.695856 | + | 0.718181i | \(0.255025\pi\) | |||||||
\(600\) | −3.76877e7 | −0.174480 | ||||||||
\(601\) | − | 1.56752e8i | − | 0.722089i | −0.932549 | − | 0.361044i | \(-0.882420\pi\) | ||
0.932549 | − | 0.361044i | \(-0.117580\pi\) | |||||||
\(602\) | −4.14605e7 | + | 2.39372e7i | −0.190040 | + | 0.109720i | ||||
\(603\) | −6212.93 | − | 3587.04i | −2.83364e−5 | − | 1.63600e-5i | ||||
\(604\) | −7.68959e7 | + | 4.43959e7i | −0.348973 | + | 0.201480i | ||||
\(605\) | −5.80248e7 | + | 1.00502e8i | −0.262028 | + | 0.453845i | ||||
\(606\) | 6.29176e7 | − | 1.08976e8i | 0.282718 | − | 0.489683i | ||||
\(607\) | − | 2.75702e8i | − | 1.23275i | −0.787453 | − | 0.616374i | \(-0.788601\pi\) | ||
0.787453 | − | 0.616374i | \(-0.211399\pi\) | |||||||
\(608\) | −2.71825e7 | − | 2.89777e7i | −0.120943 | − | 0.128930i | ||||
\(609\) | −2.46796e8 | −1.09266 | ||||||||
\(610\) | 1.44710e8 | + | 8.35486e7i | 0.637544 | + | 0.368086i | ||||
\(611\) | 5.86863e7 | + | 3.38826e7i | 0.257284 | + | 0.148543i | ||||
\(612\) | 1.60784e7 | + | 2.78486e7i | 0.0701436 | + | 0.121492i | ||||
\(613\) | 1.04485e8 | − | 1.80974e8i | 0.453601 | − | 0.785659i | −0.545006 | − | 0.838432i | \(-0.683473\pi\) |
0.998607 | + | 0.0527730i | \(0.0168060\pi\) | |||||||
\(614\) | −1.55289e8 | − | 2.68969e8i | −0.670867 | − | 1.16198i | ||||
\(615\) | −1.40062e8 | −0.602139 | ||||||||
\(616\) | − | 5.19291e7i | − | 0.222162i | ||||||
\(617\) | 7.26497e7 | + | 1.25833e8i | 0.309299 | + | 0.535721i | 0.978209 | − | 0.207622i | \(-0.0665723\pi\) |
−0.668910 | + | 0.743343i | \(0.733239\pi\) | |||||||
\(618\) | −3.39634e8 | + | 1.96088e8i | −1.43895 | + | 0.830779i | ||||
\(619\) | −3.93424e8 | −1.65878 | −0.829390 | − | 0.558670i | \(-0.811312\pi\) | ||||
−0.829390 | + | 0.558670i | \(0.811312\pi\) | |||||||
\(620\) | − | 1.56550e8i | − | 0.656869i | ||||||
\(621\) | −1.20978e8 | + | 6.98468e7i | −0.505164 | + | 0.291657i | ||||
\(622\) | −2.00101e8 | − | 1.15528e8i | −0.831531 | − | 0.480085i | ||||
\(623\) | 6.24836e7 | − | 3.60749e7i | 0.258406 | − | 0.149191i | ||||
\(624\) | 4.08644e7 | − | 7.07792e7i | 0.168187 | − | 0.291308i | ||||
\(625\) | 5.68697e7 | − | 9.85012e7i | 0.232938 | − | 0.403461i | ||||
\(626\) | − | 6.15520e7i | − | 0.250911i | ||||||
\(627\) | 5.26023e7 | − | 1.73889e8i | 0.213404 | − | 0.705454i | ||||
\(628\) | −1.73119e8 | −0.698981 | ||||||||
\(629\) | −6.09133e7 | − | 3.51683e7i | −0.244771 | − | 0.141319i | ||||
\(630\) | 8.36811e7 | + | 4.83133e7i | 0.334662 | + | 0.193217i | ||||
\(631\) | 6.04804e7 | + | 1.04755e8i | 0.240728 | + | 0.416953i | 0.960922 | − | 0.276820i | \(-0.0892805\pi\) |
−0.720194 | + | 0.693773i | \(0.755947\pi\) | |||||||
\(632\) | 6.73076e7 | − | 1.16580e8i | 0.266633 | − | 0.461821i | ||||
\(633\) | 1.55431e8 | + | 2.69214e8i | 0.612811 | + | 1.06142i | ||||
\(634\) | 2.12621e8 | 0.834331 | ||||||||
\(635\) | − | 3.32875e7i | − | 0.130005i | ||||||
\(636\) | 2.78950e7 | + | 4.83155e7i | 0.108431 | + | 0.187808i | ||||
\(637\) | −4.49810e7 | + | 2.59698e7i | −0.174025 | + | 0.100473i | ||||
\(638\) | 8.26817e7 | 0.318381 | ||||||||
\(639\) | 1.69522e8i | 0.649716i | ||||||||
\(640\) | −1.57298e7 | + | 9.08162e6i | −0.0600045 | + | 0.0346436i | ||||
\(641\) | −1.87334e8 | − | 1.08157e8i | −0.711284 | − | 0.410660i | 0.100252 | − | 0.994962i | \(-0.468035\pi\) |
−0.811536 | + | 0.584302i | \(0.801368\pi\) | |||||||
\(642\) | −4.07164e8 | + | 2.35076e8i | −1.53874 | + | 0.888389i | ||||
\(643\) | 3.12786e7 | − | 5.41762e7i | 0.117656 | − | 0.203787i | −0.801182 | − | 0.598420i | \(-0.795795\pi\) |
0.918838 | + | 0.394634i | \(0.129129\pi\) | |||||||
\(644\) | 9.19269e7 | − | 1.59222e8i | 0.344179 | − | 0.596136i | ||||
\(645\) | 7.65658e7i | 0.285336i | ||||||||
\(646\) | 5.72852e7 | + | 6.10685e7i | 0.212493 | + | 0.226527i | ||||
\(647\) | −3.21796e7 | −0.118814 | −0.0594070 | − | 0.998234i | \(-0.518921\pi\) | ||||
−0.0594070 | + | 0.998234i | \(0.518921\pi\) | |||||||
\(648\) | 1.02536e8 | + | 5.91995e7i | 0.376837 | + | 0.217567i | ||||
\(649\) | −2.05855e8 | − | 1.18851e8i | −0.753057 | − | 0.434778i | ||||
\(650\) | −3.93415e7 | − | 6.81414e7i | −0.143255 | − | 0.248125i | ||||
\(651\) | 3.23007e8 | − | 5.59464e8i | 1.17076 | − | 2.02782i | ||||
\(652\) | −1.32050e8 | − | 2.28718e8i | −0.476427 | − | 0.825196i | ||||
\(653\) | 1.91169e8 | 0.686560 | 0.343280 | − | 0.939233i | \(-0.388462\pi\) | ||||
0.343280 | + | 0.939233i | \(0.388462\pi\) | |||||||
\(654\) | 7.53615e7i | 0.269412i | ||||||||
\(655\) | 1.16952e7 | + | 2.02566e7i | 0.0416182 | + | 0.0720848i | ||||
\(656\) | 3.66743e7 | − | 2.11739e7i | 0.129912 | − | 0.0750049i | ||||
\(657\) | −5.68851e7 | −0.200587 | ||||||||
\(658\) | − | 6.21459e7i | − | 0.218140i | ||||||
\(659\) | −3.25334e8 | + | 1.87832e8i | −1.13677 | + | 0.656316i | −0.945629 | − | 0.325246i | \(-0.894553\pi\) |
−0.191143 | + | 0.981562i | \(0.561219\pi\) | |||||||
\(660\) | −7.19239e7 | − | 4.15253e7i | −0.250174 | − | 0.144438i | ||||
\(661\) | −2.17399e8 | + | 1.25515e8i | −0.752754 | + | 0.434603i | −0.826688 | − | 0.562660i | \(-0.809778\pi\) |
0.0739340 | + | 0.997263i | \(0.476445\pi\) | |||||||
\(662\) | −7.71245e6 | + | 1.33584e7i | −0.0265839 | + | 0.0460446i | ||||
\(663\) | −8.61188e7 | + | 1.49162e8i | −0.295500 | + | 0.511821i | ||||
\(664\) | − | 1.82726e8i | − | 0.624160i | ||||||
\(665\) | 2.40824e8 | + | 7.28506e7i | 0.818907 | + | 0.247724i | ||||
\(666\) | 8.58565e7 | 0.290637 | ||||||||
\(667\) | 2.53514e8 | + | 1.46366e8i | 0.854327 | + | 0.493246i | ||||
\(668\) | 2.30486e8 | + | 1.33071e8i | 0.773243 | + | 0.446432i | ||||
\(669\) | 2.04269e8 | + | 3.53804e8i | 0.682220 | + | 1.18164i | ||||
\(670\) | −4269.82 | + | 7395.55i | −1.41966e−5 | + | 2.45893e-5i | ||||
\(671\) | −1.15504e8 | − | 2.00059e8i | −0.382323 | − | 0.662203i | ||||
\(672\) | −7.49517e7 | −0.246987 | ||||||||
\(673\) | 3.03615e8i | 0.996043i | 0.867165 | + | 0.498021i | \(0.165940\pi\) | ||||
−0.867165 | + | 0.498021i | \(0.834060\pi\) | |||||||
\(674\) | 1.45523e7 | + | 2.52053e7i | 0.0475282 | + | 0.0823213i | ||||
\(675\) | 4.74812e7 | − | 2.74133e7i | 0.154387 | − | 0.0891353i | ||||
\(676\) | 1.61721e7 | 0.0523512 | ||||||||
\(677\) | − | 2.89840e8i | − | 0.934099i | −0.884231 | − | 0.467049i | \(-0.845317\pi\) | ||
0.884231 | − | 0.467049i | \(-0.154683\pi\) | |||||||
\(678\) | 2.84852e8 | − | 1.64459e8i | 0.913966 | − | 0.527679i | ||||
\(679\) | 5.15858e8 | + | 2.97831e8i | 1.64786 | + | 0.951394i | ||||
\(680\) | 3.31495e7 | − | 1.91389e7i | 0.105427 | − | 0.0608681i | ||||
\(681\) | 2.20033e8 | − | 3.81109e8i | 0.696702 | − | 1.20672i | ||||
\(682\) | −1.08214e8 | + | 1.87432e8i | −0.341137 | + | 0.590867i | ||||
\(683\) | 5.99778e8i | 1.88247i | 0.337752 | + | 0.941235i | \(0.390333\pi\) | ||||
−0.337752 | + | 0.941235i | \(0.609667\pi\) | |||||||
\(684\) | −9.78288e7 | − | 2.95938e7i | −0.305702 | − | 0.0924766i | ||||
\(685\) | −1.09476e8 | −0.340603 | ||||||||
\(686\) | −1.74512e8 | − | 1.00755e8i | −0.540572 | − | 0.312100i | ||||
\(687\) | 3.67507e8 | + | 2.12181e8i | 1.13343 | + | 0.654388i | ||||
\(688\) | −1.15748e7 | − | 2.00482e7i | −0.0355426 | − | 0.0615616i | ||||
\(689\) | −5.82380e7 | + | 1.00871e8i | −0.178053 | + | 0.308396i | ||||
\(690\) | −1.47019e8 | − | 2.54645e8i | −0.447535 | − | 0.775153i | ||||
\(691\) | −2.14374e7 | −0.0649739 | −0.0324869 | − | 0.999472i | \(-0.510343\pi\) | ||||
−0.0324869 | + | 0.999472i | \(0.510343\pi\) | |||||||
\(692\) | 1.29984e8i | 0.392258i | ||||||||
\(693\) | −6.67922e7 | − | 1.15687e8i | −0.200690 | − | 0.347606i | ||||
\(694\) | 2.07751e8 | − | 1.19945e8i | 0.621535 | − | 0.358843i | ||||
\(695\) | 5.77356e7 | 0.171985 | ||||||||
\(696\) | − | 1.19338e8i | − | 0.353958i | ||||||
\(697\) | −7.72885e7 | + | 4.46225e7i | −0.228253 | + | 0.131782i | ||||
\(698\) | 7.70691e7 | + | 4.44959e7i | 0.226628 | + | 0.130844i | ||||
\(699\) | −2.50002e8 | + | 1.44339e8i | −0.732002 | + | 0.422622i | ||||
\(700\) | −3.60792e7 | + | 6.24910e7i | −0.105187 | + | 0.182190i | ||||
\(701\) | 6.36766e7 | − | 1.10291e8i | 0.184853 | − | 0.320174i | −0.758674 | − | 0.651470i | \(-0.774152\pi\) |
0.943527 | + | 0.331296i | \(0.107486\pi\) | |||||||
\(702\) | 1.18896e8i | 0.343680i | ||||||||
\(703\) | 2.17678e8 | − | 5.09323e7i | 0.626541 | − | 0.146598i | ||||
\(704\) | 2.51103e7 | 0.0719671 | ||||||||
\(705\) | −8.60745e7 | − | 4.96952e7i | −0.245645 | − | 0.141823i | ||||
\(706\) | −1.50277e8 | − | 8.67622e7i | −0.427049 | − | 0.246557i | ||||
\(707\) | −1.20464e8 | − | 2.08651e8i | −0.340879 | − | 0.590420i | ||||
\(708\) | −1.71542e8 | + | 2.97120e8i | −0.483361 | + | 0.837206i | ||||
\(709\) | 1.61907e8 | + | 2.80431e8i | 0.454283 | + | 0.786841i | 0.998647 | − | 0.0520082i | \(-0.0165622\pi\) |
−0.544364 | + | 0.838849i | \(0.683229\pi\) | |||||||
\(710\) | 2.01790e8 | 0.563799 | ||||||||
\(711\) | − | 3.46289e8i | − | 0.963452i | ||||||
\(712\) | 1.74440e7 | + | 3.02139e7i | 0.0483289 | + | 0.0837081i | ||||
\(713\) | −6.63597e8 | + | 3.83128e8i | −1.83078 | + | 1.05700i | ||||
\(714\) | 1.57955e8 | 0.433950 | ||||||||
\(715\) | − | 1.73390e8i | − | 0.474357i | ||||||
\(716\) | 1.05668e8 | − | 6.10075e7i | 0.287876 | − | 0.166205i | ||||
\(717\) | 3.47546e8 | + | 2.00656e8i | 0.942876 | + | 0.544370i | ||||
\(718\) | −3.38522e7 | + | 1.95446e7i | −0.0914564 | + | 0.0528024i | ||||
\(719\) | 6.37427e7 | − | 1.10406e8i | 0.171492 | − | 0.297033i | −0.767450 | − | 0.641109i | \(-0.778475\pi\) |
0.938942 | + | 0.344076i | \(0.111808\pi\) | |||||||
\(720\) | −2.33619e7 | + | 4.04640e7i | −0.0625908 | + | 0.108410i | ||||
\(721\) | 7.50875e8i | 2.00337i | ||||||||
\(722\) | −2.65588e8 | − | 1.69967e7i | −0.705663 | − | 0.0451600i | ||||
\(723\) | −9.52790e8 | −2.52106 | ||||||||
\(724\) | 9.86470e7 | + | 5.69539e7i | 0.259937 | + | 0.150075i | ||||
\(725\) | −9.94983e7 | − | 5.74454e7i | −0.261097 | − | 0.150744i | ||||
\(726\) | −1.15782e8 | − | 2.00541e8i | −0.302575 | − | 0.524075i | ||||
\(727\) | 1.67240e8 | − | 2.89668e8i | 0.435247 | − | 0.753870i | −0.562069 | − | 0.827091i | \(-0.689994\pi\) |
0.997316 | + | 0.0732203i | \(0.0233276\pi\) | |||||||
\(728\) | −7.82405e7 | − | 1.35517e8i | −0.202786 | − | 0.351235i | ||||
\(729\) | 7.52294e7 | 0.194180 | ||||||||
\(730\) | 6.77130e7i | 0.174062i | ||||||||
\(731\) | 2.43931e7 | + | 4.22501e7i | 0.0624475 | + | 0.108162i | ||||
\(732\) | −2.88755e8 | + | 1.66712e8i | −0.736200 | + | 0.425045i | ||||
\(733\) | 4.59843e8 | 1.16761 | 0.583804 | − | 0.811894i | \(-0.301563\pi\) | ||||
0.583804 | + | 0.811894i | \(0.301563\pi\) | |||||||
\(734\) | − | 1.00146e8i | − | 0.253246i | ||||||
\(735\) | 6.59731e7 | − | 3.80896e7i | 0.166152 | − | 0.0959278i | ||||
\(736\) | 7.69917e7 | + | 4.44512e7i | 0.193113 | + | 0.111494i | ||||
\(737\) | 10224.2 | − | 5902.94i | 2.55403e−5 | − | 1.47457e-5i | ||||
\(738\) | 5.44686e7 | − | 9.43423e7i | 0.135512 | − | 0.234713i | ||||
\(739\) | −1.67537e8 | + | 2.90183e8i | −0.415124 | + | 0.719016i | −0.995441 | − | 0.0953742i | \(-0.969595\pi\) |
0.580317 | + | 0.814391i | \(0.302929\pi\) | |||||||
\(740\) | − | 1.02199e8i | − | 0.252204i | ||||||
\(741\) | −1.24721e8 | − | 5.33042e8i | −0.306539 | − | 1.31011i | ||||
\(742\) | 1.06817e8 | 0.261475 | ||||||||
\(743\) | 6.11326e8 | + | 3.52949e8i | 1.49041 | + | 0.860490i | 0.999940 | − | 0.0109662i | \(-0.00349073\pi\) |
0.490473 | + | 0.871456i | \(0.336824\pi\) | |||||||
\(744\) | 2.70529e8 | + | 1.56190e8i | 0.656893 | + | 0.379257i | ||||
\(745\) | −2.51704e8 | − | 4.35963e8i | −0.608724 | − | 1.05434i | ||||
\(746\) | 2.07806e8 | − | 3.59931e8i | 0.500544 | − | 0.866968i | ||||
\(747\) | −2.35025e8 | − | 4.07076e8i | −0.563836 | − | 0.976593i | ||||
\(748\) | −5.29182e7 | −0.126445 | ||||||||
\(749\) | 9.00171e8i | 2.14230i | ||||||||
\(750\) | 2.07379e8 | + | 3.59191e8i | 0.491565 | + | 0.851415i | ||||
\(751\) | 4.48860e8 | − | 2.59150e8i | 1.05972 | − | 0.611830i | 0.134366 | − | 0.990932i | \(-0.457100\pi\) |
0.925355 | + | 0.379102i | \(0.123767\pi\) | |||||||
\(752\) | 3.00506e7 | 0.0706643 | ||||||||
\(753\) | 2.70739e8i | 0.634112i | ||||||||
\(754\) | 2.15770e8 | − | 1.24575e8i | 0.503358 | − | 0.290614i | ||||
\(755\) | 2.35462e8 | + | 1.35944e8i | 0.547118 | + | 0.315879i | ||||
\(756\) | 9.44284e7 | − | 5.45183e7i | 0.218543 | − | 0.126176i | ||||
\(757\) | 2.04372e8 | − | 3.53982e8i | 0.471122 | − | 0.816007i | −0.528332 | − | 0.849038i | \(-0.677183\pi\) |
0.999454 | + | 0.0330305i | \(0.0105158\pi\) | |||||||
\(758\) | −557306. | + | 965282.i | −0.00127963 | + | 0.00221639i | ||||
\(759\) | 4.06502e8i | 0.929689i | ||||||||
\(760\) | −3.52269e7 | + | 1.16450e8i | −0.0802478 | + | 0.265277i | ||||
\(761\) | −5.78579e8 | −1.31283 | −0.656416 | − | 0.754399i | \(-0.727928\pi\) | ||||
−0.656416 | + | 0.754399i | \(0.727928\pi\) | |||||||
\(762\) | 5.75229e7 | + | 3.32109e7i | 0.130010 | + | 0.0750611i | ||||
\(763\) | 1.24959e8 | + | 7.21450e7i | 0.281315 | + | 0.162418i | ||||
\(764\) | 7.78411e7 | + | 1.34825e8i | 0.174554 | + | 0.302336i | ||||
\(765\) | 4.92335e7 | − | 8.52749e7i | 0.109971 | − | 0.190475i | ||||
\(766\) | −2.92267e8 | − | 5.06222e8i | −0.650270 | − | 1.12630i | ||||
\(767\) | −7.16279e8 | −1.58744 | ||||||||
\(768\) | − | 3.62428e7i | − | 0.0800089i | ||||||
\(769\) | 7.26036e7 | + | 1.25753e8i | 0.159654 | + | 0.276528i | 0.934744 | − | 0.355322i | \(-0.115629\pi\) |
−0.775090 | + | 0.631851i | \(0.782296\pi\) | |||||||
\(770\) | −1.37708e8 | + | 7.95059e7i | −0.301639 | + | 0.174152i | ||||
\(771\) | 7.45957e8 | 1.62761 | ||||||||
\(772\) | 1.54268e8i | 0.335293i | ||||||||
\(773\) | 1.70422e8 | − | 9.83934e7i | 0.368967 | − | 0.213023i | −0.304040 | − | 0.952659i | \(-0.598336\pi\) |
0.673007 | + | 0.739636i | \(0.265002\pi\) | |||||||
\(774\) | −5.15727e7 | − | 2.97755e7i | −0.111224 | − | 0.0642150i | ||||
\(775\) | 2.60447e8 | − | 1.50369e8i | 0.559518 | − | 0.323038i | ||||
\(776\) | −1.44016e8 | + | 2.49443e8i | −0.308195 | + | 0.533809i | ||||
\(777\) | 2.10865e8 | − | 3.65229e8i | 0.449512 | − | 0.778578i | ||||
\(778\) | − | 3.12465e8i | − | 0.663533i | ||||||
\(779\) | 8.21319e7 | − | 2.71505e8i | 0.173740 | − | 0.574336i | ||||
\(780\) | −2.50261e8 | −0.527363 | ||||||||
\(781\) | −2.41596e8 | − | 1.39485e8i | −0.507150 | − | 0.292803i | ||||
\(782\) | −1.62255e8 | − | 9.36778e7i | −0.339295 | − | 0.195892i | ||||
\(783\) | 8.68041e7 | + | 1.50349e8i | 0.180824 | + | 0.313196i | ||||
\(784\) | −1.15164e7 | + | 1.99469e7i | −0.0238983 | + | 0.0413931i | ||||
\(785\) | 2.65053e8 | + | 4.59085e8i | 0.547928 | + | 0.949040i | ||||
\(786\) | −4.66730e7 | −0.0961166 | ||||||||
\(787\) | − | 2.82755e8i | − | 0.580078i | −0.957015 | − | 0.290039i | \(-0.906332\pi\) | ||
0.957015 | − | 0.290039i | \(-0.0936683\pi\) | |||||||
\(788\) | 2.12560e7 | + | 3.68165e7i | 0.0434413 | + | 0.0752426i | ||||
\(789\) | −6.56614e8 | + | 3.79096e8i | −1.33684 | + | 0.771824i | ||||
\(790\) | −4.12204e8 | −0.836048 | ||||||||
\(791\) | − | 6.29761e8i | − | 1.27247i | ||||||
\(792\) | 5.59406e7 | − | 3.22973e7i | 0.112603 | − | 0.0650116i | ||||
\(793\) | −6.02850e8 | − | 3.48056e8i | −1.20890 | − | 0.697958i | ||||
\(794\) | 4.76737e8 | − | 2.75244e8i | 0.952396 | − | 0.549866i | ||||
\(795\) | 8.54169e7 | − | 1.47946e8i | 0.169998 | − | 0.294444i | ||||
\(796\) | 1.61625e8 | − | 2.79943e8i | 0.320457 | − | 0.555048i | ||||
\(797\) | − | 1.78281e6i | − | 0.00352152i | −0.999998 | − | 0.00176076i | \(-0.999440\pi\) | ||
0.999998 | − | 0.00176076i | \(-0.000560468\pi\) | |||||||
\(798\) | −3.66160e8 | + | 3.43476e8i | −0.720546 | + | 0.675908i | ||||
\(799\) | −6.33296e7 | −0.124156 | ||||||||
\(800\) | −3.02175e7 | − | 1.74461e7i | −0.0590185 | − | 0.0340744i | ||||
\(801\) | 7.77234e7 | + | 4.48736e7i | 0.151236 | + | 0.0873160i | ||||
\(802\) | −1.28030e8 | − | 2.21755e8i | −0.248193 | − | 0.429882i | ||||
\(803\) | 4.68059e7 | − | 8.10702e7i | 0.0903970 | − | 0.156572i | ||||
\(804\) | −8519.98 | − | 14757.0i | −1.63935e−5 | − | 2.83943e-5i | ||||
\(805\) | −5.62977e8 | −1.07920 | ||||||||
\(806\) | 6.52173e8i | 1.24554i | ||||||||
\(807\) | −4.73284e7 | − | 8.19752e7i | −0.0900537 | − | 0.155978i | ||||
\(808\) | 1.00893e8 | − | 5.82505e7i | 0.191261 | − | 0.110425i | ||||
\(809\) | 1.54678e8 | 0.292134 | 0.146067 | − | 0.989275i | \(-0.453338\pi\) | ||||
0.146067 | + | 0.989275i | \(0.453338\pi\) | |||||||
\(810\) | − | 3.62548e8i | − | 0.682199i | ||||||
\(811\) | 6.71891e8 | − | 3.87916e8i | 1.25961 | − | 0.727236i | 0.286611 | − | 0.958047i | \(-0.407471\pi\) |
0.972999 | + | 0.230811i | \(0.0741378\pi\) | |||||||
\(812\) | −1.97878e8 | − | 1.14245e8i | −0.369597 | − | 0.213387i | ||||
\(813\) | −4.41296e8 | + | 2.54782e8i | −0.821218 | + | 0.474130i | ||||
\(814\) | −7.06440e7 | + | 1.22359e8i | −0.130979 | + | 0.226863i | ||||
\(815\) | −4.04350e8 | + | 7.00355e8i | −0.746938 | + | 1.29373i | ||||
\(816\) | 7.63792e7i | 0.140574i | ||||||||
\(817\) | −1.48420e8 | − | 4.48978e7i | −0.272161 | − | 0.0823302i | ||||
\(818\) | 1.42680e8 | 0.260678 | ||||||||
\(819\) | −3.48608e8 | − | 2.01269e8i | −0.634578 | − | 0.366374i | ||||
\(820\) | −1.12300e8 | − | 6.48365e7i | −0.203675 | − | 0.117592i | ||||
\(821\) | −3.71496e7 | − | 6.43450e7i | −0.0671312 | − | 0.116275i | 0.830506 | − | 0.557009i | \(-0.188051\pi\) |
−0.897637 | + | 0.440735i | \(0.854718\pi\) | |||||||
\(822\) | 1.09224e8 | − | 1.89182e8i | 0.196655 | − | 0.340616i | ||||
\(823\) | −1.46809e8 | − | 2.54280e8i | −0.263361 | − | 0.456155i | 0.703772 | − | 0.710426i | \(-0.251498\pi\) |
−0.967133 | + | 0.254271i | \(0.918164\pi\) | |||||||
\(824\) | −3.63085e8 | −0.648973 | ||||||||
\(825\) | − | 1.59543e8i | − | 0.284129i | ||||||
\(826\) | 3.28442e8 | + | 5.68878e8i | 0.582798 | + | 1.00944i | ||||
\(827\) | 2.74468e8 | − | 1.58464e8i | 0.485261 | − | 0.280165i | −0.237345 | − | 0.971425i | \(-0.576277\pi\) |
0.722606 | + | 0.691260i | \(0.242944\pi\) | |||||||
\(828\) | 2.28696e8 | 0.402872 | ||||||||
\(829\) | − | 4.41458e8i | − | 0.774865i | −0.921898 | − | 0.387432i | \(-0.873362\pi\) | ||
0.921898 | − | 0.387432i | \(-0.126638\pi\) | |||||||
\(830\) | −4.84562e8 | + | 2.79762e8i | −0.847451 | + | 0.489276i | ||||
\(831\) | 2.11976e8 | + | 1.22384e8i | 0.369388 | + | 0.213266i | ||||
\(832\) | 6.55290e7 | − | 3.78332e7i | 0.113779 | − | 0.0656905i | ||||
\(833\) | 2.42699e7 | − | 4.20368e7i | 0.0419888 | − | 0.0727268i | ||||
\(834\) | −5.76027e7 | + | 9.97708e7i | −0.0992990 | + | 0.171991i | ||||
\(835\) | − | 8.14954e8i | − | 1.39982i | ||||||
\(836\) | 1.22671e8 | − | 1.15071e8i | 0.209953 | − | 0.196946i | ||||
\(837\) | −4.54437e8 | −0.774991 | ||||||||
\(838\) | −1.57782e7 | − | 9.10955e6i | −0.0268118 | − | 0.0154798i | ||||
\(839\) | −9.16524e8 | − | 5.29155e8i | −1.55188 | − | 0.895978i | −0.997989 | − | 0.0633883i | \(-0.979809\pi\) |
−0.553890 | − | 0.832590i | \(-0.686857\pi\) | |||||||
\(840\) | 1.14754e8 | + | 1.98761e8i | 0.193612 | + | 0.335345i | ||||
\(841\) | −1.15511e8 | + | 2.00071e8i | −0.194194 | + | 0.336353i | ||||
\(842\) | 2.47316e8 | + | 4.28363e8i | 0.414300 | + | 0.717589i | ||||
\(843\) | 4.40698e8 | 0.735628 | ||||||||
\(844\) | 2.87803e8i | 0.478705i | ||||||||
\(845\) | −2.47603e7 | − | 4.28861e7i | −0.0410379 | − | 0.0710798i | ||||
\(846\) | 6.69466e7 | − | 3.86517e7i | 0.110565 | − | 0.0638347i | ||||
\(847\) | −4.43363e8 | −0.729640 | ||||||||
\(848\) | 5.16515e7i | 0.0847024i | ||||||||
\(849\) | 6.70488e8 | − | 3.87107e8i | 1.09564 | − | 0.632569i | ||||
\(850\) | 6.36812e7 | + | 3.67664e7i | 0.103694 | + | 0.0598679i | ||||
\(851\) | −4.33209e8 | + | 2.50113e8i | −0.702925 | + | 0.405834i | ||||
\(852\) | −2.01325e8 | + | 3.48706e8i | −0.325522 | + | 0.563820i | ||||
\(853\) | −3.27227e7 | + | 5.66773e7i | −0.0527232 | + | 0.0913193i | −0.891183 | − | 0.453645i | \(-0.850123\pi\) |
0.838459 | + | 0.544964i | \(0.183457\pi\) | |||||||
\(854\) | 6.38388e8i | 1.02497i | ||||||||
\(855\) | 7.13021e7 | + | 3.04737e8i | 0.114079 | + | 0.487558i | ||||
\(856\) | −4.35277e8 | −0.693977 | ||||||||
\(857\) | 7.72031e8 | + | 4.45732e8i | 1.22657 | + | 0.708160i | 0.966311 | − | 0.257379i | \(-0.0828588\pi\) |
0.260259 | + | 0.965539i | \(0.416192\pi\) | |||||||
\(858\) | 2.99628e8 | + | 1.72990e8i | 0.474374 | + | 0.273880i | ||||
\(859\) | −4.16670e8 | − | 7.21693e8i | −0.657374 | − | 1.13861i | −0.981293 | − | 0.192520i | \(-0.938334\pi\) |
0.323919 | − | 0.946085i | \(-0.394999\pi\) | |||||||
\(860\) | −3.54432e7 | + | 6.13894e7i | −0.0557234 | + | 0.0965157i | ||||
\(861\) | −2.67552e8 | − | 4.63413e8i | −0.419178 | − | 0.726037i | ||||
\(862\) | 4.25523e8 | 0.664356 | ||||||||
\(863\) | − | 1.04154e9i | − | 1.62049i | −0.586095 | − | 0.810243i | \(-0.699335\pi\) | ||
0.586095 | − | 0.810243i | \(-0.300665\pi\) | |||||||
\(864\) | 2.63623e7 | + | 4.56608e7i | 0.0408735 | + | 0.0707950i | ||||
\(865\) | 3.44698e8 | − | 1.99012e8i | 0.532587 | − | 0.307489i | ||||
\(866\) | 6.91500e8 | 1.06473 | ||||||||
\(867\) | 6.73324e8i | 1.03316i | ||||||||
\(868\) | 5.17964e8 | − | 2.99047e8i | 0.792028 | − | 0.457278i | ||||
\(869\) | 4.93517e8 | + | 2.84932e8i | 0.752043 | + | 0.434192i | ||||
\(870\) | −3.16467e8 | + | 1.82712e8i | −0.480586 | + | 0.277466i | ||||
\(871\) | 17787.7 | − | 30809.2i | 2.69194e−5 | − | 4.66257e-5i | ||||
\(872\) | −3.48857e7 | + | 6.04238e7i | −0.0526136 | + | 0.0911294i | ||||
\(873\) | 7.40943e8i | 1.11363i | ||||||||
\(874\) | 5.79830e8 | − | 1.35668e8i | 0.868492 | − | 0.203209i | ||||
\(875\) | 7.94111e8 | 1.18538 | ||||||||
\(876\) | −1.17012e8 | − | 6.75571e7i | −0.174068 | − | 0.100498i | ||||
\(877\) | −3.83002e8 | − | 2.21126e8i | −0.567809 | − | 0.327825i | 0.188465 | − | 0.982080i | \(-0.439649\pi\) |
−0.756274 | + | 0.654255i | \(0.772982\pi\) | |||||||
\(878\) | −2.59078e8 | − | 4.48736e8i | −0.382778 | − | 0.662990i | ||||
\(879\) | −6.62973e8 | + | 1.14830e9i | −0.976178 | + | 1.69079i | ||||
\(880\) | −3.84450e7 | − | 6.65888e7i | −0.0564147 | − | 0.0977131i | ||||
\(881\) | 1.29224e9 | 1.88980 | 0.944900 | − | 0.327358i | \(-0.106158\pi\) | ||||
0.944900 | + | 0.327358i | \(0.106158\pi\) | |||||||
\(882\) | 5.92503e7i | 0.0863544i | ||||||||
\(883\) | 5.67681e8 | + | 9.83253e8i | 0.824560 | + | 1.42818i | 0.902255 | + | 0.431203i | \(0.141911\pi\) |
−0.0776943 | + | 0.996977i | \(0.524756\pi\) | |||||||
\(884\) | −1.38098e8 | + | 7.97307e7i | −0.199908 | + | 0.115417i | ||||
\(885\) | 1.05056e9 | 1.51562 | ||||||||
\(886\) | − | 3.18161e8i | − | 0.457452i | ||||||
\(887\) | −9.46040e8 | + | 5.46197e8i | −1.35562 | + | 0.782669i | −0.989030 | − | 0.147713i | \(-0.952809\pi\) |
−0.366592 | + | 0.930382i | \(0.619476\pi\) | |||||||
\(888\) | 1.76606e8 | + | 1.01964e8i | 0.252213 | + | 0.145615i | ||||
\(889\) | 1.10136e8 | − | 6.35868e7i | 0.156755 | − | 0.0905027i | ||||
\(890\) | 5.34152e7 | − | 9.25179e7i | 0.0757696 | − | 0.131237i | ||||
\(891\) | −2.50608e8 | + | 4.34066e8i | −0.354292 | + | 0.613652i | ||||
\(892\) | 3.78234e8i | 0.532925i | ||||||||
\(893\) | 1.46806e8 | − | 1.37711e8i | 0.206152 | − | 0.193381i | ||||
\(894\) | 1.00450e9 | 1.40584 | ||||||||
\(895\) | −3.23566e8 | − | 1.86811e8i | −0.451329 | − | 0.260575i | ||||
\(896\) | −6.00952e7 | − | 3.46960e7i | −0.0835441 | − | 0.0482342i | ||||
\(897\) | 6.12468e8 | + | 1.06083e9i | 0.848606 | + | 1.46983i | ||||
\(898\) | 2.06171e7 | − | 3.57099e7i | 0.0284707 | − | 0.0493127i | ||||
\(899\) | 4.76143e8 | + | 8.24704e8i | 0.655328 | + | 1.13506i | ||||
\(900\) | −8.97579e7 | −0.123125 | ||||||||
\(901\) | − | 1.08852e8i | − | 0.148820i | ||||||
\(902\) | 8.96352e7 | + | 1.55253e8i | 0.122140 | + | 0.211553i | ||||
\(903\) | −2.53327e8 | + | 1.46258e8i | −0.344047 | + | 0.198636i | ||||
\(904\) | 3.04520e8 | 0.412203 | ||||||||
\(905\) | − | 3.48796e8i | − | 0.470572i | ||||||
\(906\) | −4.69841e8 | + | 2.71263e8i | −0.631780 | + | 0.364758i | ||||
\(907\) | 8.42015e8 | + | 4.86138e8i | 1.12849 | + | 0.651534i | 0.943555 | − | 0.331216i | \(-0.107459\pi\) |
0.184936 | + | 0.982751i | \(0.440792\pi\) | |||||||
\(908\) | 3.52839e8 | − | 2.03712e8i | 0.471324 | − | 0.272119i | ||||
\(909\) | 1.49846e8 | − | 2.59540e8i | 0.199505 | − | 0.345552i | ||||
\(910\) | −2.39580e8 | + | 4.14964e8i | −0.317926 | + | 0.550664i | ||||
\(911\) | − | 7.04468e8i | − | 0.931765i | −0.884847 | − | 0.465882i | \(-0.845737\pi\) | ||
0.884847 | − | 0.465882i | \(-0.154263\pi\) | |||||||
\(912\) | −1.66088e8 | − | 1.77056e8i | −0.218954 | − | 0.233414i | ||||
\(913\) | 7.73530e8 | 1.01640 | ||||||||
\(914\) | −7.93374e8 | − | 4.58055e8i | −1.03906 | − | 0.599900i | ||||
\(915\) | 8.84193e8 | + | 5.10489e8i | 1.15421 | + | 0.666382i | ||||
\(916\) | 1.96441e8 | + | 3.40247e8i | 0.255592 | + | 0.442698i | ||||
\(917\) | −4.46810e7 | + | 7.73897e7i | −0.0579448 | + | 0.100363i | ||||
\(918\) | −5.55566e7 | − | 9.62269e7i | −0.0718138 | − | 0.124385i | ||||
\(919\) | −9.44419e8 | −1.21680 | −0.608398 | − | 0.793632i | \(-0.708188\pi\) | ||||
−0.608398 | + | 0.793632i | \(0.708188\pi\) | |||||||
\(920\) | − | 2.72227e8i | − | 0.349598i | ||||||
\(921\) | −9.48831e8 | − | 1.64342e9i | −1.21454 | − | 2.10364i | ||||
\(922\) | −4.23664e8 | + | 2.44603e8i | −0.540542 | + | 0.312082i | ||||
\(923\) | −8.40638e8 | −1.06906 | ||||||||
\(924\) | − | 3.17291e8i | − | 0.402200i | ||||||
\(925\) | 1.70025e8 | − | 9.81638e7i | 0.214826 | − | 0.124030i | ||||
\(926\) | −2.66888e8 | − | 1.54088e8i | −0.336121 | − | 0.194060i | ||||
\(927\) | −8.08879e8 | + | 4.67007e8i | −1.01542 | + | 0.586251i | ||||
\(928\) | 5.52430e7 | − | 9.56837e7i | 0.0691247 | − | 0.119728i | ||||
\(929\) | 4.66430e8 | − | 8.07881e8i | 0.581754 | − | 1.00763i | −0.413517 | − | 0.910496i | \(-0.635700\pi\) |
0.995272 | − | 0.0971315i | \(-0.0309667\pi\) | |||||||
\(930\) | − | 9.56535e8i | − | 1.18919i | ||||||
\(931\) | 3.51488e7 | + | 1.50222e8i | 0.0435573 | + | 0.186159i | ||||
\(932\) | −2.67264e8 | −0.330136 | ||||||||
\(933\) | −1.22264e9 | − | 7.05889e8i | −1.50540 | − | 0.869143i | ||||
\(934\) | −7.08679e8 | − | 4.09156e8i | −0.869779 | − | 0.502167i | ||||
\(935\) | 8.10202e7 | + | 1.40331e8i | 0.0991194 | + | 0.171680i | ||||
\(936\) | 9.73234e7 | − | 1.68569e8i | 0.118683 | − | 0.205566i | ||||
\(937\) | 1.09142e8 | + | 1.89040e8i | 0.132671 | + | 0.229792i | 0.924705 | − | 0.380684i | \(-0.124311\pi\) |
−0.792035 | + | 0.610476i | \(0.790978\pi\) | |||||||
\(938\) | −32625.4 | −3.95318e−5 | ||||||||
\(939\) | − | 3.76088e8i | − | 0.454247i | ||||||
\(940\) | −4.60089e7 | − | 7.96897e7i | −0.0553934 | − | 0.0959442i | ||||
\(941\) | 4.61540e6 | − | 2.66470e6i | 0.00553912 | − | 0.00319801i | −0.497228 | − | 0.867620i | \(-0.665649\pi\) |
0.502767 | + | 0.864422i | \(0.332315\pi\) | |||||||
\(942\) | −1.05777e9 | −1.26543 | ||||||||
\(943\) | 6.34702e8i | 0.756894i | ||||||||
\(944\) | −2.75081e8 | + | 1.58818e8i | −0.326997 | + | 0.188792i | ||||
\(945\) | −2.89149e8 | − | 1.66940e8i | −0.342630 | − | 0.197818i | ||||
\(946\) | 8.48696e7 | − | 4.89995e7i | 0.100249 | − | 0.0578786i | ||||
\(947\) | −6.46029e8 | + | 1.11896e9i | −0.760680 | + | 1.31754i | 0.181820 | + | 0.983332i | \(0.441801\pi\) |
−0.942500 | + | 0.334205i | \(0.891532\pi\) | |||||||
\(948\) | 4.11255e8 | − | 7.12315e8i | 0.482710 | − | 0.836079i | ||||
\(949\) | − | 2.82086e8i | − | 0.330052i | ||||||
\(950\) | −2.27570e8 | + | 5.32467e7i | −0.265426 | + | 0.0621043i | ||||
\(951\) | 1.29913e9 | 1.51047 | ||||||||
\(952\) | 1.26646e8 | + | 7.31193e7i | 0.146785 | + | 0.0847464i | ||||
\(953\) | 4.62151e8 | + | 2.66823e8i | 0.533955 | + | 0.308279i | 0.742626 | − | 0.669707i | \(-0.233580\pi\) |
−0.208670 | + | 0.977986i | \(0.566914\pi\) | |||||||
\(954\) | 6.64352e7 | + | 1.15069e8i | 0.0765161 | + | 0.132530i | ||||
\(955\) | 2.38357e8 | − | 4.12846e8i | 0.273664 | − | 0.474000i | ||||
\(956\) | 1.85771e8 | + | 3.21766e8i | 0.212621 | + | 0.368270i | ||||
\(957\) | 5.05192e8 | 0.576396 | ||||||||
\(958\) | − | 1.02591e8i | − | 0.116685i | ||||||
\(959\) | −2.09125e8 | − | 3.62215e8i | −0.237110 | − | 0.410687i | ||||
\(960\) | −9.61106e7 | + | 5.54895e7i | −0.108632 | + | 0.0627187i | ||||
\(961\) | −1.60520e9 | −1.80867 | ||||||||
\(962\) | 4.25751e8i | 0.478223i | ||||||||
\(963\) | −9.69709e8 | + | 5.59862e8i | −1.08583 | + | 0.626905i | ||||
\(964\) | −7.63934e8 | − | 4.41057e8i | −0.852756 | − | 0.492339i | ||||
\(965\) | 4.09096e8 | − | 2.36192e8i | 0.455243 | − | 0.262835i | ||||
\(966\) | 5.61681e8 | − | 9.72860e8i | 0.623101 | − | 1.07924i | ||||
\(967\) | −3.95518e8 | + | 6.85058e8i | −0.437408 | + | 0.757614i | −0.997489 | − | 0.0708247i | \(-0.977437\pi\) |
0.560080 | + | 0.828438i | \(0.310770\pi\) | |||||||
\(968\) | − | 2.14388e8i | − | 0.236360i | ||||||
\(969\) | 3.50018e8 | + | 3.73134e8i | 0.384697 | + | 0.410103i | ||||
\(970\) | 8.81980e8 | 0.966370 | ||||||||
\(971\) | 3.04422e8 | + | 1.75758e8i | 0.332520 | + | 0.191981i | 0.656960 | − | 0.753926i | \(-0.271842\pi\) |
−0.324439 | + | 0.945907i | \(0.605176\pi\) | |||||||
\(972\) | 4.42622e8 | + | 2.55548e8i | 0.481985 | + | 0.278274i | ||||
\(973\) | 1.10288e8 | + | 1.91025e8i | 0.119727 | + | 0.207373i | ||||
\(974\) | −2.48233e8 | + | 4.29952e8i | −0.268647 | + | 0.465311i | ||||
\(975\) | −2.40380e8 | − | 4.16350e8i | −0.259349 | − | 0.449205i | ||||
\(976\) | −3.08692e8 | −0.332029 | ||||||||
\(977\) | − | 5.43141e8i | − | 0.582410i | −0.956661 | − | 0.291205i | \(-0.905944\pi\) | ||
0.956661 | − | 0.291205i | \(-0.0940562\pi\) | |||||||
\(978\) | −8.06838e8 | − | 1.39748e9i | −0.862521 | − | 1.49393i | ||||
\(979\) | −1.27904e8 | + | 7.38455e7i | −0.136313 | + | 0.0787002i | ||||
\(980\) | 7.05284e7 | 0.0749352 | ||||||||
\(981\) | 1.79482e8i | 0.190114i | ||||||||
\(982\) | −3.87914e8 | + | 2.23962e8i | −0.409639 | + | 0.236505i | ||||
\(983\) | −6.57507e8 | − | 3.79612e8i | −0.692214 | − | 0.399650i | 0.112227 | − | 0.993683i | \(-0.464202\pi\) |
−0.804441 | + | 0.594033i | \(0.797535\pi\) | |||||||
\(984\) | 2.24083e8 | − | 1.29374e8i | 0.235193 | − | 0.135789i | ||||
\(985\) | 6.50878e7 | − | 1.12735e8i | 0.0681069 | − | 0.117965i | ||||
\(986\) | −1.16421e8 | + | 2.01647e8i | −0.121451 | + | 0.210359i | ||||
\(987\) | − | 3.79717e8i | − | 0.394919i | ||||||
\(988\) | 1.46752e8 | − | 4.85121e8i | 0.152164 | − | 0.503013i | ||||
\(989\) | 3.46963e8 | 0.358669 | ||||||||
\(990\) | −1.71295e8 | − | 9.88974e7i | −0.176539 | − | 0.101925i | ||||
\(991\) | 3.79972e8 | + | 2.19377e8i | 0.390418 | + | 0.225408i | 0.682341 | − | 0.731034i | \(-0.260962\pi\) |
−0.291923 | + | 0.956442i | \(0.594295\pi\) | |||||||
\(992\) | 1.44604e8 | + | 2.50461e8i | 0.148131 | + | 0.256570i | ||||
\(993\) | −4.71237e7 | + | 8.16207e7i | −0.0481273 | + | 0.0833590i | ||||
\(994\) | 3.85465e8 | + | 6.67646e8i | 0.392488 | + | 0.679809i | ||||
\(995\) | −9.89823e8 | −1.00482 | ||||||||
\(996\) | − | 1.11647e9i | − | 1.12998i | ||||||
\(997\) | 5.18144e8 | + | 8.97452e8i | 0.522836 | + | 0.905578i | 0.999647 | + | 0.0265724i | \(0.00845925\pi\) |
−0.476811 | + | 0.879006i | \(0.658207\pi\) | |||||||
\(998\) | 5.32734e8 | − | 3.07574e8i | 0.535944 | − | 0.309427i | ||||
\(999\) | −2.96665e8 | −0.297557 |
(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 | 38.7.d.a.27.10 | ✓ | 20 | |
3.2 | odd | 2 | 342.7.m.a.217.2 | 20 | |||
19.12 | odd | 6 | inner | 38.7.d.a.31.10 | yes | 20 | |
57.50 | even | 6 | 342.7.m.a.145.2 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.7.d.a.27.10 | ✓ | 20 | 1.1 | even | 1 | trivial | |
38.7.d.a.31.10 | yes | 20 | 19.12 | odd | 6 | inner | |
342.7.m.a.145.2 | 20 | 57.50 | even | 6 | |||
342.7.m.a.217.2 | 20 | 3.2 | odd | 2 |