Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,7,Mod(8,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, base_ring=CyclotomicField(12))
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("37.8");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.g (of order \(12\), degree \(4\), 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: | \(8.51200109393\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 14.1 | ||
Character | \(\chi\) | \(=\) | 37.14 |
Dual form | 37.7.g.a.8.1 |
$q$-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 \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −13.9637 | + | 3.74156i | −1.74546 | + | 0.467695i | −0.983648 | − | 0.180102i | \(-0.942357\pi\) |
−0.761813 | + | 0.647797i | \(0.775690\pi\) | |||||||
\(3\) | 7.40363 | − | 4.27449i | 0.274209 | − | 0.158314i | −0.356590 | − | 0.934261i | \(-0.616061\pi\) |
0.630799 | + | 0.775947i | \(0.282727\pi\) | |||||||
\(4\) | 125.560 | − | 72.4919i | 1.96187 | − | 1.13269i | ||||
\(5\) | −72.2350 | − | 19.3553i | −0.577880 | − | 0.154843i | −0.0419719 | − | 0.999119i | \(-0.513364\pi\) |
−0.535908 | + | 0.844276i | \(0.680031\pi\) | |||||||
\(6\) | −87.3887 | + | 87.3887i | −0.404577 | + | 0.404577i | ||||
\(7\) | 180.588 | + | 312.787i | 0.526495 | + | 0.911917i | 0.999523 | + | 0.0308693i | \(0.00982757\pi\) |
−0.473028 | + | 0.881047i | \(0.656839\pi\) | |||||||
\(8\) | −827.827 | + | 827.827i | −1.61685 | + | 1.61685i | ||||
\(9\) | −327.958 | + | 568.039i | −0.449873 | + | 0.779203i | ||||
\(10\) | 1081.09 | 1.08109 | ||||||||
\(11\) | − | 1538.32i | − | 1.15576i | −0.816122 | − | 0.577879i | \(-0.803880\pi\) | ||
0.816122 | − | 0.577879i | \(-0.196120\pi\) | |||||||
\(12\) | 619.732 | − | 1073.41i | 0.358641 | − | 0.621184i | ||||
\(13\) | 311.914 | + | 83.5772i | 0.141973 | + | 0.0380415i | 0.329106 | − | 0.944293i | \(-0.393253\pi\) |
−0.187133 | + | 0.982335i | \(0.559919\pi\) | |||||||
\(14\) | −3691.99 | − | 3691.99i | −1.34548 | − | 1.34548i | ||||
\(15\) | −617.535 | + | 165.468i | −0.182973 | + | 0.0490276i | ||||
\(16\) | 3822.67 | − | 6621.06i | 0.933269 | − | 1.61647i | ||||
\(17\) | −2077.54 | − | 7753.50i | −0.422866 | − | 1.57816i | −0.768538 | − | 0.639804i | \(-0.779016\pi\) |
0.345672 | − | 0.938355i | \(-0.387651\pi\) | |||||||
\(18\) | 2454.14 | − | 9158.99i | 0.420807 | − | 1.57047i | ||||
\(19\) | −640.408 | − | 171.597i | −0.0933675 | − | 0.0250177i | 0.211833 | − | 0.977306i | \(-0.432057\pi\) |
−0.305200 | + | 0.952288i | \(0.598723\pi\) | |||||||
\(20\) | −10472.9 | + | 2806.21i | −1.30911 | + | 0.350776i | ||||
\(21\) | 2674.01 | + | 1543.84i | 0.288739 | + | 0.166704i | ||||
\(22\) | 5755.70 | + | 21480.6i | 0.540542 | + | 2.01733i | ||||
\(23\) | 3506.23 | − | 3506.23i | 0.288176 | − | 0.288176i | −0.548183 | − | 0.836358i | \(-0.684680\pi\) |
0.836358 | + | 0.548183i | \(0.184680\pi\) | |||||||
\(24\) | −2590.39 | + | 9667.46i | −0.187383 | + | 0.699324i | ||||
\(25\) | −8688.38 | − | 5016.24i | −0.556056 | − | 0.321039i | ||||
\(26\) | −4668.18 | −0.265600 | ||||||||
\(27\) | 11839.6i | 0.601514i | ||||||||
\(28\) | 45349.1 | + | 26182.3i | 2.06583 | + | 1.19271i | ||||
\(29\) | −23650.4 | − | 23650.4i | −0.969714 | − | 0.969714i | 0.0298405 | − | 0.999555i | \(-0.490500\pi\) |
−0.999555 | + | 0.0298405i | \(0.990500\pi\) | |||||||
\(30\) | 8003.96 | − | 4621.09i | 0.296443 | − | 0.171151i | ||||
\(31\) | −17581.8 | − | 17581.8i | −0.590171 | − | 0.590171i | 0.347506 | − | 0.937678i | \(-0.387029\pi\) |
−0.937678 | + | 0.347506i | \(0.887029\pi\) | |||||||
\(32\) | −9213.13 | + | 34383.9i | −0.281162 | + | 1.04931i | ||||
\(33\) | −6575.51 | − | 11389.1i | −0.182973 | − | 0.316919i | ||||
\(34\) | 58020.3 | + | 100494.i | 1.47619 | + | 2.55684i | ||||
\(35\) | −6990.67 | − | 26089.5i | −0.163048 | − | 0.608502i | ||||
\(36\) | 95097.1i | 2.03826i | ||||||||
\(37\) | −42385.3 | − | 27734.7i | −0.836778 | − | 0.547543i | ||||
\(38\) | 9584.49 | 0.174670 | ||||||||
\(39\) | 2666.55 | − | 714.500i | 0.0449527 | − | 0.0120450i | ||||
\(40\) | 75820.9 | − | 43775.2i | 1.18470 | − | 0.683988i | ||||
\(41\) | −42052.7 | + | 24279.1i | −0.610158 | + | 0.352275i | −0.773027 | − | 0.634373i | \(-0.781258\pi\) |
0.162869 | + | 0.986648i | \(0.447925\pi\) | |||||||
\(42\) | −43115.4 | − | 11552.7i | −0.581949 | − | 0.155933i | ||||
\(43\) | 73177.5 | − | 73177.5i | 0.920390 | − | 0.920390i | −0.0766664 | − | 0.997057i | \(-0.524428\pi\) |
0.997057 | + | 0.0766664i | \(0.0244276\pi\) | |||||||
\(44\) | −111515. | − | 193150.i | −1.30911 | − | 2.26745i | ||||
\(45\) | 34684.6 | − | 34684.6i | 0.380626 | − | 0.380626i | ||||
\(46\) | −35841.1 | + | 62078.7i | −0.368221 | + | 0.637777i | ||||
\(47\) | 61436.5 | 0.591743 | 0.295871 | − | 0.955228i | \(-0.404390\pi\) | ||||
0.295871 | + | 0.955228i | \(0.404390\pi\) | |||||||
\(48\) | − | 65359.8i | − | 0.591000i | ||||||
\(49\) | −6399.48 | + | 11084.2i | −0.0543946 | + | 0.0942143i | ||||
\(50\) | 140090. | + | 37537.1i | 1.12072 | + | 0.300297i | ||||
\(51\) | −48523.6 | − | 48523.6i | −0.365799 | − | 0.365799i | ||||
\(52\) | 45222.5 | − | 12117.3i | 0.321621 | − | 0.0861782i | ||||
\(53\) | −64579.6 | + | 111855.i | −0.433778 | + | 0.751326i | −0.997195 | − | 0.0748470i | \(-0.976153\pi\) |
0.563417 | + | 0.826173i | \(0.309486\pi\) | |||||||
\(54\) | −44298.6 | − | 165325.i | −0.281325 | − | 1.04992i | ||||
\(55\) | −29774.6 | + | 111120.i | −0.178961 | + | 0.667890i | ||||
\(56\) | −408429. | − | 109438.i | −2.32570 | − | 0.623168i | ||||
\(57\) | −5474.83 | + | 1466.98i | −0.0295628 | + | 0.00792134i | ||||
\(58\) | 418735. | + | 241757.i | 2.14613 | + | 1.23907i | ||||
\(59\) | −33327.9 | − | 124381.i | −0.162275 | − | 0.605618i | −0.998372 | − | 0.0570370i | \(-0.981835\pi\) |
0.836097 | − | 0.548581i | \(-0.184832\pi\) | |||||||
\(60\) | −65542.4 | + | 65542.4i | −0.303437 | + | 0.303437i | ||||
\(61\) | −90241.4 | + | 336786.i | −0.397573 | + | 1.48376i | 0.419782 | + | 0.907625i | \(0.362107\pi\) |
−0.817354 | + | 0.576136i | \(0.804560\pi\) | |||||||
\(62\) | 311290. | + | 179723.i | 1.30614 | + | 0.754101i | ||||
\(63\) | −236901. | −0.947424 | ||||||||
\(64\) | − | 25295.0i | − | 0.0964929i | ||||||
\(65\) | −20913.5 | − | 12074.4i | −0.0761529 | − | 0.0439669i | ||||
\(66\) | 134431. | + | 134431.i | 0.467594 | + | 0.467594i | ||||
\(67\) | 273613. | − | 157971.i | 0.909729 | − | 0.525233i | 0.0293853 | − | 0.999568i | \(-0.490645\pi\) |
0.880344 | + | 0.474336i | \(0.157312\pi\) | |||||||
\(68\) | −822921. | − | 822921.i | −2.61717 | − | 2.61717i | ||||
\(69\) | 10971.5 | − | 40946.2i | 0.0333979 | − | 0.124643i | ||||
\(70\) | 195231. | + | 338150.i | 0.569187 | + | 0.985860i | ||||
\(71\) | 149045. | + | 258154.i | 0.416432 | + | 0.721281i | 0.995578 | − | 0.0939431i | \(-0.0299472\pi\) |
−0.579146 | + | 0.815224i | \(0.696614\pi\) | |||||||
\(72\) | −198746. | − | 741730.i | −0.532477 | − | 1.98723i | ||||
\(73\) | − | 665296.i | − | 1.71020i | −0.518465 | − | 0.855099i | \(-0.673497\pi\) | ||
0.518465 | − | 0.855099i | \(-0.326503\pi\) | |||||||
\(74\) | 695626. | + | 228691.i | 1.71665 | + | 0.564357i | ||||
\(75\) | −85767.4 | −0.203300 | ||||||||
\(76\) | −92848.7 | + | 24878.7i | −0.211512 | + | 0.0566745i | ||||
\(77\) | 481166. | − | 277801.i | 1.05396 | − | 0.608502i | ||||
\(78\) | −34561.5 | + | 19954.1i | −0.0728298 | + | 0.0420483i | ||||
\(79\) | −139097. | − | 37270.9i | −0.282121 | − | 0.0755942i | 0.114984 | − | 0.993367i | \(-0.463318\pi\) |
−0.397105 | + | 0.917773i | \(0.629985\pi\) | |||||||
\(80\) | −404283. | + | 404283.i | −0.789616 | + | 0.789616i | ||||
\(81\) | −188473. | − | 326444.i | −0.354645 | − | 0.614263i | ||||
\(82\) | 496369. | − | 496369.i | 0.900250 | − | 0.900250i | ||||
\(83\) | −551572. | + | 955350.i | −0.964645 | + | 1.67081i | −0.254079 | + | 0.967183i | \(0.581772\pi\) |
−0.710566 | + | 0.703631i | \(0.751561\pi\) | |||||||
\(84\) | 447664. | 0.755291 | ||||||||
\(85\) | 600285.i | 0.977464i | ||||||||
\(86\) | −748030. | + | 1.29563e6i | −1.17604 | + | 2.03697i | ||||
\(87\) | −276192. | − | 74005.3i | −0.419424 | − | 0.112384i | ||||
\(88\) | 1.27346e6 | + | 1.27346e6i | 1.86869 | + | 1.86869i | ||||
\(89\) | 175278. | − | 46965.6i | 0.248632 | − | 0.0666208i | −0.132350 | − | 0.991203i | \(-0.542252\pi\) |
0.380983 | + | 0.924582i | \(0.375586\pi\) | |||||||
\(90\) | −354550. | + | 614099.i | −0.486352 | + | 0.842386i | ||||
\(91\) | 30186.1 | + | 112656.i | 0.0400574 | + | 0.149496i | ||||
\(92\) | 186068. | − | 694415.i | 0.238950 | − | 0.891775i | ||||
\(93\) | −205322. | − | 55015.9i | −0.255263 | − | 0.0683974i | ||||
\(94\) | −857880. | + | 229868.i | −1.03286 | + | 0.276755i | ||||
\(95\) | 42938.6 | + | 24790.6i | 0.0500814 | + | 0.0289145i | ||||
\(96\) | 78762.8 | + | 293947.i | 0.0890241 | + | 0.332242i | ||||
\(97\) | 1.10298e6 | − | 1.10298e6i | 1.20852 | − | 1.20852i | 0.237010 | − | 0.971507i | \(-0.423832\pi\) |
0.971507 | − | 0.237010i | \(-0.0761676\pi\) | |||||||
\(98\) | 47888.0 | − | 178721.i | 0.0508802 | − | 0.189887i | ||||
\(99\) | 873823. | + | 504502.i | 0.900571 | + | 0.519945i | ||||
\(100\) | −1.45455e6 | −1.45455 | ||||||||
\(101\) | − | 396341.i | − | 0.384685i | −0.981328 | − | 0.192342i | \(-0.938392\pi\) | ||
0.981328 | − | 0.192342i | \(-0.0616084\pi\) | |||||||
\(102\) | 859122. | + | 496014.i | 0.809570 | + | 0.467405i | ||||
\(103\) | −937285. | − | 937285.i | −0.857748 | − | 0.857748i | 0.133324 | − | 0.991072i | \(-0.457435\pi\) |
−0.991072 | + | 0.133324i | \(0.957435\pi\) | |||||||
\(104\) | −327399. | + | 189024.i | −0.291056 | + | 0.168041i | ||||
\(105\) | −163276. | − | 163276.i | −0.141044 | − | 0.141044i | ||||
\(106\) | 483257. | − | 1.80354e6i | 0.405752 | − | 1.51429i | ||||
\(107\) | −297009. | − | 514435.i | −0.242448 | − | 0.419932i | 0.718963 | − | 0.695048i | \(-0.244617\pi\) |
−0.961411 | + | 0.275116i | \(0.911284\pi\) | |||||||
\(108\) | 858276. | + | 1.48658e6i | 0.681327 | + | 1.18009i | ||||
\(109\) | 451244. | + | 1.68406e6i | 0.348443 | + | 1.30041i | 0.888538 | + | 0.458803i | \(0.151722\pi\) |
−0.540095 | + | 0.841604i | \(0.681612\pi\) | |||||||
\(110\) | − | 1.66305e6i | − | 1.24947i | ||||||
\(111\) | −432357. | − | 24161.8i | −0.316135 | − | 0.0176669i | ||||
\(112\) | 2.76131e6 | 1.96545 | ||||||||
\(113\) | −2.14230e6 | + | 574027.i | −1.48472 | + | 0.397830i | −0.907951 | − | 0.419077i | \(-0.862354\pi\) |
−0.576770 | + | 0.816907i | \(0.695687\pi\) | |||||||
\(114\) | 70960.0 | − | 40968.8i | 0.0478960 | − | 0.0276528i | ||||
\(115\) | −321137. | + | 185408.i | −0.211153 | + | 0.121909i | ||||
\(116\) | −4.68399e6 | − | 1.25507e6i | −3.00083 | − | 0.804071i | ||||
\(117\) | −149770. | + | 149770.i | −0.0935118 | + | 0.0935118i | ||||
\(118\) | 930760. | + | 1.61212e6i | 0.566489 | + | 0.981188i | ||||
\(119\) | 2.05002e6 | − | 2.05002e6i | 1.21651 | − | 1.21651i | ||||
\(120\) | 374233. | − | 648191.i | 0.216570 | − | 0.375111i | ||||
\(121\) | −594853. | −0.335779 | ||||||||
\(122\) | − | 5.04041e6i | − | 2.77579i | ||||||
\(123\) | −207562. | + | 359508.i | −0.111540 | + | 0.193194i | ||||
\(124\) | −3.48210e6 | − | 933026.i | −1.82632 | − | 0.489360i | ||||
\(125\) | 1.35676e6 | + | 1.35676e6i | 0.694661 | + | 0.694661i | ||||
\(126\) | 3.30801e6 | − | 886378.i | 1.65369 | − | 0.443105i | ||||
\(127\) | 795619. | − | 1.37805e6i | 0.388413 | − | 0.672752i | −0.603823 | − | 0.797118i | \(-0.706357\pi\) |
0.992236 | + | 0.124367i | \(0.0396900\pi\) | |||||||
\(128\) | −494997. | − | 1.84735e6i | −0.236033 | − | 0.880887i | ||||
\(129\) | 228983. | − | 854575.i | 0.106668 | − | 0.398090i | ||||
\(130\) | 337206. | + | 90354.2i | 0.153485 | + | 0.0411262i | ||||
\(131\) | −3.46409e6 | + | 928200.i | −1.54090 | + | 0.412884i | −0.926558 | − | 0.376153i | \(-0.877247\pi\) |
−0.614346 | + | 0.789037i | \(0.710580\pi\) | |||||||
\(132\) | −1.65124e6 | − | 953342.i | −0.717939 | − | 0.414502i | ||||
\(133\) | −61976.6 | − | 231300.i | −0.0263435 | − | 0.0983151i | ||||
\(134\) | −3.22959e6 | + | 3.22959e6i | −1.34225 | + | 1.34225i | ||||
\(135\) | 229159. | − | 855234.i | 0.0931400 | − | 0.347603i | ||||
\(136\) | 8.13840e6 | + | 4.69871e6i | 3.23536 | + | 1.86793i | ||||
\(137\) | 3.73853e6 | 1.45392 | 0.726958 | − | 0.686682i | \(-0.240934\pi\) | ||||
0.726958 | + | 0.686682i | \(0.240934\pi\) | |||||||
\(138\) | 612810.i | 0.233179i | ||||||||
\(139\) | 1.42393e6 | + | 822104.i | 0.530204 | + | 0.306114i | 0.741100 | − | 0.671395i | \(-0.234305\pi\) |
−0.210895 | + | 0.977509i | \(0.567638\pi\) | |||||||
\(140\) | −2.76903e6 | − | 2.76903e6i | −1.00912 | − | 1.00912i | ||||
\(141\) | 454853. | − | 262610.i | 0.162261 | − | 0.0936814i | ||||
\(142\) | −3.04712e6 | − | 3.04712e6i | −1.06420 | − | 1.06420i | ||||
\(143\) | 128568. | − | 479823.i | 0.0439668 | − | 0.164086i | ||||
\(144\) | 2.50735e6 | + | 4.34285e6i | 0.839705 | + | 1.45441i | ||||
\(145\) | 1.25062e6 | + | 2.16614e6i | 0.410226 | + | 0.710532i | ||||
\(146\) | 2.48924e6 | + | 9.28998e6i | 0.799850 | + | 2.98508i | ||||
\(147\) | 109418.i | 0.0344458i | ||||||||
\(148\) | −7.33242e6 | − | 409764.i | −2.26184 | − | 0.126401i | ||||
\(149\) | −1.63595e6 | −0.494551 | −0.247275 | − | 0.968945i | \(-0.579535\pi\) | ||||
−0.247275 | + | 0.968945i | \(0.579535\pi\) | |||||||
\(150\) | 1.19763e6 | − | 320904.i | 0.354853 | − | 0.0950826i | ||||
\(151\) | −4.12518e6 | + | 2.38167e6i | −1.19815 | + | 0.691754i | −0.960143 | − | 0.279509i | \(-0.909828\pi\) |
−0.238009 | + | 0.971263i | \(0.576495\pi\) | |||||||
\(152\) | 672199. | − | 388094.i | 0.191411 | − | 0.110511i | ||||
\(153\) | 5.08563e6 | + | 1.36269e6i | 1.41994 | + | 0.380472i | ||||
\(154\) | −5.67944e6 | + | 5.67944e6i | −1.55505 | + | 1.55505i | ||||
\(155\) | 929720. | + | 1.61032e6i | 0.249665 | + | 0.432432i | ||||
\(156\) | 283016. | − | 283016.i | 0.0745481 | − | 0.0745481i | ||||
\(157\) | −1.27589e6 | + | 2.20991e6i | −0.329697 | + | 0.571053i | −0.982452 | − | 0.186517i | \(-0.940280\pi\) |
0.652754 | + | 0.757570i | \(0.273613\pi\) | |||||||
\(158\) | 2.08176e6 | 0.527787 | ||||||||
\(159\) | 1.10418e6i | 0.274693i | ||||||||
\(160\) | 1.33102e6 | − | 2.30540e6i | 0.324956 | − | 0.562841i | ||||
\(161\) | 1.72989e6 | + | 463522.i | 0.414515 | + | 0.111069i | ||||
\(162\) | 3.85319e6 | + | 3.85319e6i | 0.906306 | + | 0.906306i | ||||
\(163\) | 2.59403e6 | − | 695069.i | 0.598981 | − | 0.160496i | 0.0534262 | − | 0.998572i | \(-0.482986\pi\) |
0.545554 | + | 0.838075i | \(0.316319\pi\) | |||||||
\(164\) | −3.52008e6 | + | 6.09696e6i | −0.798034 | + | 1.38224i | ||||
\(165\) | 254542. | + | 949964.i | 0.0566641 | + | 0.211473i | ||||
\(166\) | 4.12747e6 | − | 1.54039e7i | 0.902319 | − | 3.36750i | ||||
\(167\) | −956243. | − | 256225.i | −0.205314 | − | 0.0550138i | 0.154696 | − | 0.987962i | \(-0.450560\pi\) |
−0.360010 | + | 0.932948i | \(0.617227\pi\) | |||||||
\(168\) | −3.49165e6 | + | 935585.i | −0.736382 | + | 0.197313i | ||||
\(169\) | −4.08983e6 | − | 2.36127e6i | −0.847316 | − | 0.489198i | ||||
\(170\) | −2.24600e6 | − | 8.38220e6i | −0.457155 | − | 1.70613i | ||||
\(171\) | 307500. | − | 307500.i | 0.0614974 | − | 0.0614974i | ||||
\(172\) | 3.88336e6 | − | 1.44929e7i | 0.763173 | − | 2.84820i | ||||
\(173\) | 8.59262e6 | + | 4.96095e6i | 1.65954 | + | 0.958135i | 0.972928 | + | 0.231110i | \(0.0742359\pi\) |
0.686611 | + | 0.727025i | \(0.259097\pi\) | |||||||
\(174\) | 4.13355e6 | 0.784649 | ||||||||
\(175\) | − | 3.62349e6i | − | 0.676103i | ||||||
\(176\) | −1.01853e7 | − | 5.88047e6i | −1.86825 | − | 1.07863i | ||||
\(177\) | −778414. | − | 778414.i | −0.140375 | − | 0.140375i | ||||
\(178\) | −2.27180e6 | + | 1.31163e6i | −0.402820 | + | 0.232568i | ||||
\(179\) | 341694. | + | 341694.i | 0.0595769 | + | 0.0595769i | 0.736267 | − | 0.676691i | \(-0.236587\pi\) |
−0.676691 | + | 0.736267i | \(0.736587\pi\) | |||||||
\(180\) | 1.84063e6 | − | 6.86934e6i | 0.315609 | − | 1.17787i | ||||
\(181\) | −377154. | − | 653250.i | −0.0636038 | − | 0.110165i | 0.832470 | − | 0.554070i | \(-0.186926\pi\) |
−0.896074 | + | 0.443905i | \(0.853593\pi\) | |||||||
\(182\) | −843018. | − | 1.46015e6i | −0.139837 | − | 0.242205i | ||||
\(183\) | 771472. | + | 2.87917e6i | 0.125883 | + | 0.469801i | ||||
\(184\) | 5.80511e6i | 0.931873i | ||||||||
\(185\) | 2.52489e6 | + | 2.82380e6i | 0.398774 | + | 0.445983i | ||||
\(186\) | 3.07290e6 | 0.477540 | ||||||||
\(187\) | −1.19273e7 | + | 3.19592e6i | −1.82397 | + | 0.488732i | ||||
\(188\) | 7.71395e6 | − | 4.45365e6i | 1.16092 | − | 0.670259i | ||||
\(189\) | −3.70328e6 | + | 2.13809e6i | −0.548531 | + | 0.316694i | ||||
\(190\) | −692336. | − | 185511.i | −0.100938 | − | 0.0270463i | ||||
\(191\) | 350003. | − | 350003.i | 0.0502310 | − | 0.0502310i | −0.681545 | − | 0.731776i | \(-0.738692\pi\) |
0.731776 | + | 0.681545i | \(0.238692\pi\) | |||||||
\(192\) | −108123. | − | 187275.i | −0.0152762 | − | 0.0264592i | ||||
\(193\) | −415947. | + | 415947.i | −0.0578584 | + | 0.0578584i | −0.735444 | − | 0.677586i | \(-0.763026\pi\) |
0.677586 | + | 0.735444i | \(0.263026\pi\) | |||||||
\(194\) | −1.12748e7 | + | 1.95286e7i | −1.54420 | + | 2.67464i | ||||
\(195\) | −206448. | −0.0278424 | ||||||||
\(196\) | 1.85564e6i | 0.246448i | ||||||||
\(197\) | 4.53306e6 | − | 7.85149e6i | 0.592915 | − | 1.02696i | −0.400922 | − | 0.916112i | \(-0.631310\pi\) |
0.993837 | − | 0.110847i | \(-0.0353564\pi\) | |||||||
\(198\) | −1.40894e7 | − | 3.77525e6i | −1.81509 | − | 0.486351i | ||||
\(199\) | 3.21520e6 | + | 3.21520e6i | 0.407989 | + | 0.407989i | 0.881037 | − | 0.473047i | \(-0.156846\pi\) |
−0.473047 | + | 0.881037i | \(0.656846\pi\) | |||||||
\(200\) | 1.13450e7 | − | 3.03990e6i | 1.41813 | − | 0.379987i | ||||
\(201\) | 1.35049e6 | − | 2.33911e6i | 0.166304 | − | 0.288046i | ||||
\(202\) | 1.48293e6 | + | 5.53438e6i | 0.179915 | + | 0.671452i | ||||
\(203\) | 3.12657e6 | − | 1.16685e7i | 0.373749 | − | 1.39485i | ||||
\(204\) | −9.61017e6 | − | 2.57504e6i | −1.13198 | − | 0.303314i | ||||
\(205\) | 3.50761e6 | − | 939861.i | 0.407145 | − | 0.109094i | ||||
\(206\) | 1.65949e7 | + | 9.58104e6i | 1.89833 | + | 1.09600i | ||||
\(207\) | 841782. | + | 3.14157e6i | 0.0949048 | + | 0.354190i | ||||
\(208\) | 1.74572e6 | − | 1.74572e6i | 0.193992 | − | 0.193992i | ||||
\(209\) | −263970. | + | 985149.i | −0.0289145 | + | 0.107910i | ||||
\(210\) | 2.89084e6 | + | 1.66903e6i | 0.312152 | + | 0.180221i | ||||
\(211\) | −1.63245e7 | −1.73777 | −0.868885 | − | 0.495015i | \(-0.835163\pi\) | ||||
−0.868885 | + | 0.495015i | \(0.835163\pi\) | |||||||
\(212\) | 1.87260e7i | 1.96534i | ||||||||
\(213\) | 2.20696e6 | + | 1.27419e6i | 0.228378 | + | 0.131854i | ||||
\(214\) | 6.07213e6 | + | 6.07213e6i | 0.619583 | + | 0.619583i | ||||
\(215\) | −6.70235e6 | + | 3.86960e6i | −0.674391 | + | 0.389360i | ||||
\(216\) | −9.80114e6 | − | 9.80114e6i | −0.972558 | − | 0.972558i | ||||
\(217\) | 2.32430e6 | − | 8.67442e6i | 0.227465 | − | 0.848910i | ||||
\(218\) | −1.26021e7 | − | 2.18274e7i | −1.21639 | − | 2.10684i | ||||
\(219\) | −2.84380e6 | − | 4.92560e6i | −0.270749 | − | 0.468951i | ||||
\(220\) | 4.31683e6 | + | 1.61106e7i | 0.405412 | + | 1.51302i | ||||
\(221\) | − | 2.59206e6i | − | 0.240142i | ||||||
\(222\) | 6.12770e6 | − | 1.28030e6i | 0.560065 | − | 0.117018i | ||||
\(223\) | −644914. | −0.0581550 | −0.0290775 | − | 0.999577i | \(-0.509257\pi\) | ||||
−0.0290775 | + | 0.999577i | \(0.509257\pi\) | |||||||
\(224\) | −1.24186e7 | + | 3.32756e6i | −1.10492 | + | 0.296061i | ||||
\(225\) | 5.69884e6 | − | 3.29023e6i | 0.500309 | − | 0.288854i | ||||
\(226\) | 2.77666e7 | − | 1.60311e7i | 2.40546 | − | 1.38879i | ||||
\(227\) | −7.75726e6 | − | 2.07855e6i | −0.663179 | − | 0.177698i | −0.0884989 | − | 0.996076i | \(-0.528207\pi\) |
−0.574680 | + | 0.818378i | \(0.694874\pi\) | |||||||
\(228\) | −581074. | + | 581074.i | −0.0490260 | + | 0.0490260i | ||||
\(229\) | −3.38020e6 | − | 5.85467e6i | −0.281472 | − | 0.487524i | 0.690275 | − | 0.723547i | \(-0.257489\pi\) |
−0.971748 | + | 0.236023i | \(0.924156\pi\) | |||||||
\(230\) | 3.79054e6 | − | 3.79054e6i | 0.311543 | − | 0.311543i | ||||
\(231\) | 2.37492e6 | − | 4.11347e6i | 0.192669 | − | 0.333713i | ||||
\(232\) | 3.91568e7 | 3.13576 | ||||||||
\(233\) | 1.82822e7i | 1.44531i | 0.691211 | + | 0.722653i | \(0.257078\pi\) | ||||
−0.691211 | + | 0.722653i | \(0.742922\pi\) | |||||||
\(234\) | 1.53097e6 | − | 2.65171e6i | 0.119486 | − | 0.206956i | ||||
\(235\) | −4.43787e6 | − | 1.18912e6i | −0.341956 | − | 0.0916269i | ||||
\(236\) | −1.32013e7 | − | 1.32013e7i | −1.00434 | − | 1.00434i | ||||
\(237\) | −1.18914e6 | + | 318628.i | −0.0893278 | + | 0.0239353i | ||||
\(238\) | −2.09555e7 | + | 3.62960e7i | −1.55442 | + | 2.69233i | ||||
\(239\) | −5.23081e6 | − | 1.95217e7i | −0.383156 | − | 1.42996i | −0.841053 | − | 0.540952i | \(-0.818064\pi\) |
0.457897 | − | 0.889005i | \(-0.348603\pi\) | |||||||
\(240\) | −1.26506e6 | + | 4.72127e6i | −0.0915119 | + | 0.341527i | ||||
\(241\) | −7.07252e6 | − | 1.89508e6i | −0.505269 | − | 0.135387i | −0.00282499 | − | 0.999996i | \(-0.500899\pi\) |
−0.502445 | + | 0.864609i | \(0.667566\pi\) | |||||||
\(242\) | 8.30634e6 | − | 2.22568e6i | 0.586089 | − | 0.157042i | ||||
\(243\) | −1.02655e7 | − | 5.92679e6i | −0.715420 | − | 0.413048i | ||||
\(244\) | 1.30835e7 | + | 4.88284e7i | 0.900650 | + | 3.36127i | ||||
\(245\) | 676805. | − | 676805.i | 0.0460220 | − | 0.0460220i | ||||
\(246\) | 1.55321e6 | − | 5.79666e6i | 0.104334 | − | 0.389379i | ||||
\(247\) | −185411. | − | 107047.i | −0.0123039 | − | 0.00710368i | ||||
\(248\) | 2.91094e7 | 1.90844 | ||||||||
\(249\) | 9.43074e6i | 0.610869i | ||||||||
\(250\) | −2.40218e7 | − | 1.38690e7i | −1.53739 | − | 0.887614i | ||||
\(251\) | −7.03122e6 | − | 7.03122e6i | −0.444641 | − | 0.444641i | 0.448927 | − | 0.893568i | \(-0.351806\pi\) |
−0.893568 | + | 0.448927i | \(0.851806\pi\) | |||||||
\(252\) | −2.97452e7 | + | 1.71734e7i | −1.85872 | + | 1.07313i | ||||
\(253\) | −5.39369e6 | − | 5.39369e6i | −0.333061 | − | 0.333061i | ||||
\(254\) | −5.95371e6 | + | 2.22196e7i | −0.363318 | + | 1.35592i | ||||
\(255\) | 2.56591e6 | + | 4.44429e6i | 0.154747 | + | 0.268029i | ||||
\(256\) | 1.46334e7 | + | 2.53458e7i | 0.872219 | + | 1.51073i | ||||
\(257\) | −3.62980e6 | − | 1.35466e7i | −0.213837 | − | 0.798052i | −0.986573 | − | 0.163324i | \(-0.947779\pi\) |
0.772735 | − | 0.634729i | \(-0.218888\pi\) | |||||||
\(258\) | 1.27898e7i | 0.744738i | ||||||||
\(259\) | 1.02078e6 | − | 1.82661e7i | 0.0587535 | − | 1.05135i | ||||
\(260\) | −3.50119e6 | −0.199203 | ||||||||
\(261\) | 2.11906e7 | − | 5.67802e6i | 1.19185 | − | 0.319356i | ||||
\(262\) | 4.48986e7 | − | 2.59222e7i | 2.49648 | − | 1.44135i | ||||
\(263\) | −1.21949e7 | + | 7.04073e6i | −0.670365 | + | 0.387035i | −0.796215 | − | 0.605014i | \(-0.793168\pi\) |
0.125850 | + | 0.992049i | \(0.459834\pi\) | |||||||
\(264\) | 1.48716e7 | + | 3.98483e6i | 0.808250 | + | 0.216570i | ||||
\(265\) | 6.82990e6 | − | 6.82990e6i | 0.367009 | − | 0.367009i | ||||
\(266\) | 1.73084e6 | + | 2.99791e6i | 0.0919629 | + | 0.159284i | ||||
\(267\) | 1.09694e6 | − | 1.09694e6i | 0.0576301 | − | 0.0576301i | ||||
\(268\) | 2.29032e7 | − | 3.96694e7i | 1.18985 | − | 2.06088i | ||||
\(269\) | 1.92701e7 | 0.989983 | 0.494991 | − | 0.868898i | \(-0.335171\pi\) | ||||
0.494991 | + | 0.868898i | \(0.335171\pi\) | |||||||
\(270\) | 1.27996e7i | 0.650289i | ||||||||
\(271\) | 8.89579e6 | − | 1.54080e7i | 0.446968 | − | 0.774172i | −0.551219 | − | 0.834361i | \(-0.685837\pi\) |
0.998187 | + | 0.0601889i | \(0.0191703\pi\) | |||||||
\(272\) | −5.92781e7 | − | 1.58835e7i | −2.94569 | − | 0.789296i | ||||
\(273\) | 705033. | + | 705033.i | 0.0346515 | + | 0.0346515i | ||||
\(274\) | −5.22037e7 | + | 1.39879e7i | −2.53775 | + | 0.679989i | ||||
\(275\) | −7.71655e6 | + | 1.33655e7i | −0.371044 | + | 0.642667i | ||||
\(276\) | −1.59069e6 | − | 5.93653e6i | −0.0756586 | − | 0.282362i | ||||
\(277\) | −4.25558e6 | + | 1.58820e7i | −0.200225 | + | 0.747251i | 0.790627 | + | 0.612299i | \(0.209755\pi\) |
−0.990852 | + | 0.134953i | \(0.956912\pi\) | |||||||
\(278\) | −2.29592e7 | − | 6.15190e6i | −1.06862 | − | 0.286335i | ||||
\(279\) | 1.57532e7 | − | 4.22106e6i | 0.725366 | − | 0.194361i | ||||
\(280\) | 2.73847e7 | + | 1.58106e7i | 1.24748 | + | 0.720233i | ||||
\(281\) | 9.08100e6 | + | 3.38907e7i | 0.409274 | + | 1.52743i | 0.796034 | + | 0.605252i | \(0.206928\pi\) |
−0.386759 | + | 0.922181i | \(0.626406\pi\) | |||||||
\(282\) | −5.36886e6 | + | 5.36886e6i | −0.239406 | + | 0.239406i | ||||
\(283\) | −1.05811e7 | + | 3.94891e7i | −0.466843 | + | 1.74228i | 0.183864 | + | 0.982952i | \(0.441139\pi\) |
−0.650707 | + | 0.759329i | \(0.725527\pi\) | |||||||
\(284\) | 3.74282e7 | + | 2.16092e7i | 1.63397 | + | 0.943373i | ||||
\(285\) | 423868. | 0.0183103 | ||||||||
\(286\) | 7.18114e6i | 0.306969i | ||||||||
\(287\) | −1.51884e7 | − | 8.76904e6i | −0.642491 | − | 0.370942i | ||||
\(288\) | −1.65099e7 | − | 1.65099e7i | −0.691140 | − | 0.691140i | ||||
\(289\) | −3.48968e7 | + | 2.01477e7i | −1.44574 | + | 0.834701i | ||||
\(290\) | −2.55681e7 | − | 2.55681e7i | −1.04834 | − | 1.04834i | ||||
\(291\) | 3.45139e6 | − | 1.28807e7i | 0.140060 | − | 0.522712i | ||||
\(292\) | −4.82286e7 | − | 8.35343e7i | −1.93712 | − | 3.35518i | ||||
\(293\) | −4.64522e6 | − | 8.04576e6i | −0.184673 | − | 0.319863i | 0.758793 | − | 0.651332i | \(-0.225789\pi\) |
−0.943466 | + | 0.331468i | \(0.892456\pi\) | |||||||
\(294\) | −409394. | − | 1.52788e6i | −0.0161101 | − | 0.0601238i | ||||
\(295\) | 9.62976e6i | 0.375102i | ||||||||
\(296\) | 5.80472e7 | − | 1.21282e7i | 2.23824 | − | 0.467650i | ||||
\(297\) | 1.82130e7 | 0.695206 | ||||||||
\(298\) | 2.28439e7 | − | 6.12100e6i | 0.863219 | − | 0.231299i | ||||
\(299\) | 1.38669e6 | − | 800603.i | 0.0518757 | − | 0.0299505i | ||||
\(300\) | −1.07689e7 | + | 6.21744e6i | −0.398849 | + | 0.230276i | ||||
\(301\) | 3.61040e7 | + | 9.67403e6i | 1.32390 | + | 0.354738i | ||||
\(302\) | 4.86915e7 | − | 4.86915e7i | 1.76780 | − | 1.76780i | ||||
\(303\) | −1.69415e6 | − | 2.93436e6i | −0.0609011 | − | 0.105484i | ||||
\(304\) | −3.58422e6 | + | 3.58422e6i | −0.127577 | + | 0.127577i | ||||
\(305\) | 1.30372e7 | − | 2.25811e7i | 0.459498 | − | 0.795875i | ||||
\(306\) | −7.61128e7 | −2.65640 | ||||||||
\(307\) | 2.89688e6i | 0.100119i | 0.998746 | + | 0.0500594i | \(0.0159411\pi\) | ||||
−0.998746 | + | 0.0500594i | \(0.984059\pi\) | |||||||
\(308\) | 4.02767e7 | − | 6.97612e7i | 1.37848 | − | 2.38760i | ||||
\(309\) | −1.09457e7 | − | 2.93290e6i | −0.370996 | − | 0.0994080i | ||||
\(310\) | −1.90074e7 | − | 1.90074e7i | −0.638026 | − | 0.638026i | ||||
\(311\) | 8.56291e6 | − | 2.29443e6i | 0.284669 | − | 0.0762769i | −0.113659 | − | 0.993520i | \(-0.536257\pi\) |
0.398328 | + | 0.917243i | \(0.369590\pi\) | |||||||
\(312\) | −1.61596e6 | + | 2.79892e6i | −0.0532067 | + | 0.0921567i | ||||
\(313\) | 1.51586e6 | + | 5.65727e6i | 0.0494341 | + | 0.184491i | 0.986228 | − | 0.165391i | \(-0.0528886\pi\) |
−0.936794 | + | 0.349881i | \(0.886222\pi\) | |||||||
\(314\) | 9.54766e6 | − | 3.56324e7i | 0.308396 | − | 1.15095i | ||||
\(315\) | 1.71125e7 | + | 4.58529e6i | 0.547498 | + | 0.146702i | ||||
\(316\) | −2.01668e7 | + | 5.40368e6i | −0.639110 | + | 0.171249i | ||||
\(317\) | 3.39898e7 | + | 1.96240e7i | 1.06702 | + | 0.616042i | 0.927365 | − | 0.374158i | \(-0.122068\pi\) |
0.139652 | + | 0.990201i | \(0.455402\pi\) | |||||||
\(318\) | −4.13135e6 | − | 1.54184e7i | −0.128473 | − | 0.479466i | ||||
\(319\) | −3.63817e7 | + | 3.63817e7i | −1.12076 | + | 1.12076i | ||||
\(320\) | −489593. | + | 1.82719e6i | −0.0149412 | + | 0.0557613i | ||||
\(321\) | −4.39789e6 | − | 2.53912e6i | −0.132963 | − | 0.0767660i | ||||
\(322\) | −2.58899e7 | −0.775466 | ||||||||
\(323\) | 5.32190e6i | 0.157928i | ||||||||
\(324\) | −4.73292e7 | − | 2.73255e7i | −1.39153 | − | 0.803402i | ||||
\(325\) | −2.29079e6 | − | 2.29079e6i | −0.0667321 | − | 0.0667321i | ||||
\(326\) | −3.36216e7 | + | 1.94115e7i | −0.970434 | + | 0.560280i | ||||
\(327\) | 1.05394e7 | + | 1.05394e7i | 0.301419 | + | 0.301419i | ||||
\(328\) | 1.47134e7 | − | 5.49113e7i | 0.416958 | − | 1.55611i | ||||
\(329\) | 1.10947e7 | + | 1.92166e7i | 0.311550 | + | 0.539620i | ||||
\(330\) | −7.10869e6 | − | 1.23126e7i | −0.197810 | − | 0.342617i | ||||
\(331\) | 9.71942e6 | + | 3.62734e7i | 0.268013 | + | 1.00024i | 0.960380 | + | 0.278693i | \(0.0899013\pi\) |
−0.692367 | + | 0.721546i | \(0.743432\pi\) | |||||||
\(332\) | 1.59938e8i | 4.37056i | ||||||||
\(333\) | 2.96550e7 | − | 1.49807e7i | 0.803091 | − | 0.405695i | ||||
\(334\) | 1.43114e7 | 0.384097 | ||||||||
\(335\) | −2.28220e7 | + | 6.11514e6i | −0.607043 | + | 0.162657i | ||||
\(336\) | 2.04437e7 | − | 1.18032e7i | 0.538942 | − | 0.311159i | ||||
\(337\) | 2.69121e7 | − | 1.55377e7i | 0.703167 | − | 0.405974i | −0.105359 | − | 0.994434i | \(-0.533599\pi\) |
0.808526 | + | 0.588461i | \(0.200266\pi\) | |||||||
\(338\) | 6.59440e7 | + | 1.76696e7i | 1.70775 | + | 0.457591i | ||||
\(339\) | −1.34071e7 | + | 1.34071e7i | −0.344141 | + | 0.344141i | ||||
\(340\) | 4.35158e7 | + | 7.53716e7i | 1.10716 | + | 1.91766i | ||||
\(341\) | −2.70463e7 | + | 2.70463e7i | −0.682096 | + | 0.682096i | ||||
\(342\) | −3.14331e6 | + | 5.44437e6i | −0.0785793 | + | 0.136103i | ||||
\(343\) | 3.78693e7 | 0.938437 | ||||||||
\(344\) | 1.21157e8i | 2.97627i | ||||||||
\(345\) | −1.58505e6 | + | 2.74539e6i | −0.0385999 | + | 0.0668570i | ||||
\(346\) | −1.38546e8 | − | 3.71234e7i | −3.34477 | − | 0.896230i | ||||
\(347\) | 5.63698e6 | + | 5.63698e6i | 0.134914 | + | 0.134914i | 0.771339 | − | 0.636425i | \(-0.219587\pi\) |
−0.636425 | + | 0.771339i | \(0.719587\pi\) | |||||||
\(348\) | −4.00433e7 | + | 1.07296e7i | −0.950150 | + | 0.254592i | ||||
\(349\) | 2.01522e6 | − | 3.49046e6i | 0.0474073 | − | 0.0821118i | −0.841348 | − | 0.540494i | \(-0.818237\pi\) |
0.888755 | + | 0.458382i | \(0.151571\pi\) | |||||||
\(350\) | 1.35575e7 | + | 5.05972e7i | 0.316210 | + | 1.18011i | ||||
\(351\) | −989521. | + | 3.69294e6i | −0.0228825 | + | 0.0853987i | ||||
\(352\) | 5.28932e7 | + | 1.41727e7i | 1.21275 | + | 0.324956i | ||||
\(353\) | 2.30367e7 | − | 6.17266e6i | 0.523716 | − | 0.140329i | 0.0127313 | − | 0.999919i | \(-0.495947\pi\) |
0.510985 | + | 0.859590i | \(0.329281\pi\) | |||||||
\(354\) | 1.37820e7 | + | 7.95704e6i | 0.310672 | + | 0.179367i | ||||
\(355\) | −5.76964e6 | − | 2.15326e7i | −0.128963 | − | 0.481295i | ||||
\(356\) | 1.86032e7 | − | 1.86032e7i | 0.412324 | − | 0.412324i | ||||
\(357\) | 6.41479e6 | − | 2.39403e7i | 0.140987 | − | 0.526169i | ||||
\(358\) | −6.04977e6 | − | 3.49284e6i | −0.131853 | − | 0.0761253i | ||||
\(359\) | 5.38742e7 | 1.16439 | 0.582194 | − | 0.813050i | \(-0.302195\pi\) | ||||
0.582194 | + | 0.813050i | \(0.302195\pi\) | |||||||
\(360\) | 5.74257e7i | 1.23083i | ||||||||
\(361\) | −4.03623e7 | − | 2.33032e7i | −0.857934 | − | 0.495328i | ||||
\(362\) | 7.71063e6 | + | 7.71063e6i | 0.162542 | + | 0.162542i | ||||
\(363\) | −4.40407e6 | + | 2.54269e6i | −0.0920734 | + | 0.0531586i | ||||
\(364\) | 1.19568e7 | + | 1.19568e7i | 0.247919 | + | 0.247919i | ||||
\(365\) | −1.28770e7 | + | 4.80576e7i | −0.264811 | + | 0.988289i | ||||
\(366\) | −2.15452e7 | − | 3.73173e7i | −0.439447 | − | 0.761145i | ||||
\(367\) | −4.00609e7 | − | 6.93876e7i | −0.810444 | − | 1.40373i | −0.912554 | − | 0.408957i | \(-0.865893\pi\) |
0.102110 | − | 0.994773i | \(-0.467441\pi\) | |||||||
\(368\) | −9.81180e6 | − | 3.66181e7i | −0.196882 | − | 0.734772i | ||||
\(369\) | − | 3.18501e7i | − | 0.633916i | ||||||
\(370\) | −4.58222e7 | − | 2.99836e7i | −0.904629 | − | 0.591941i | ||||
\(371\) | −4.66492e7 | −0.913528 | ||||||||
\(372\) | −2.97684e7 | + | 7.97642e6i | −0.578265 | + | 0.154946i | ||||
\(373\) | −5.98636e6 | + | 3.45622e6i | −0.115355 | + | 0.0666002i | −0.556567 | − | 0.830803i | \(-0.687882\pi\) |
0.441212 | + | 0.897403i | \(0.354549\pi\) | |||||||
\(374\) | 1.54592e8 | − | 8.92535e7i | 2.95509 | − | 1.70612i | ||||
\(375\) | 1.58444e7 | + | 4.24549e6i | 0.300457 | + | 0.0805071i | ||||
\(376\) | −5.08588e7 | + | 5.08588e7i | −0.956759 | + | 0.956759i | ||||
\(377\) | −5.40026e6 | − | 9.35352e6i | −0.100784 | − | 0.174563i | ||||
\(378\) | 4.37116e7 | − | 4.37116e7i | 0.809323 | − | 0.809323i | ||||
\(379\) | 4.85110e7 | − | 8.40235e7i | 0.891092 | − | 1.54342i | 0.0525247 | − | 0.998620i | \(-0.483273\pi\) |
0.838568 | − | 0.544798i | \(-0.183394\pi\) | |||||||
\(380\) | 7.18847e6 | 0.131004 | ||||||||
\(381\) | − | 1.36035e7i | − | 0.245966i | ||||||
\(382\) | −3.57778e6 | + | 6.19690e6i | −0.0641835 | + | 0.111169i | ||||
\(383\) | −1.27289e7 | − | 3.41069e6i | −0.226565 | − | 0.0607080i | 0.143750 | − | 0.989614i | \(-0.454084\pi\) |
−0.370316 | + | 0.928906i | \(0.620750\pi\) | |||||||
\(384\) | −1.15613e7 | − | 1.15613e7i | −0.204179 | − | 0.204179i | ||||
\(385\) | −4.01339e7 | + | 1.07539e7i | −0.703282 | + | 0.188444i | ||||
\(386\) | 4.25186e6 | − | 7.36444e6i | 0.0739294 | − | 0.128050i | ||||
\(387\) | 1.75686e7 | + | 6.55668e7i | 0.303112 | + | 1.13123i | ||||
\(388\) | 5.85327e7 | − | 2.18447e8i | 1.00208 | − | 3.73982i | ||||
\(389\) | −2.98113e7 | − | 7.98793e6i | −0.506446 | − | 0.135702i | −0.00345581 | − | 0.999994i | \(-0.501100\pi\) |
−0.502990 | + | 0.864292i | \(0.667767\pi\) | |||||||
\(390\) | 2.88277e6 | − | 772436.i | 0.0485977 | − | 0.0130217i | ||||
\(391\) | −3.44699e7 | − | 1.99012e7i | −0.576647 | − | 0.332927i | ||||
\(392\) | −3.87815e6 | − | 1.44735e7i | −0.0643824 | − | 0.240278i | ||||
\(393\) | −2.16793e7 | + | 2.16793e7i | −0.357163 | + | 0.357163i | ||||
\(394\) | −3.39214e7 | + | 1.26596e8i | −0.554607 | + | 2.06982i | ||||
\(395\) | 9.32627e6 | + | 5.38453e6i | 0.151327 | + | 0.0873688i | ||||
\(396\) | 1.46289e8 | 2.35574 | ||||||||
\(397\) | − | 5.96626e7i | − | 0.953522i | −0.879033 | − | 0.476761i | \(-0.841811\pi\) | ||
0.879033 | − | 0.476761i | \(-0.158189\pi\) | |||||||
\(398\) | −5.69259e7 | − | 3.28662e7i | −0.902944 | − | 0.521315i | ||||
\(399\) | −1.44754e6 | − | 1.44754e6i | −0.0227883 | − | 0.0227883i | ||||
\(400\) | −6.64256e7 | + | 3.83508e7i | −1.03790 | + | 0.599232i | ||||
\(401\) | −1.62832e7 | − | 1.62832e7i | −0.252526 | − | 0.252526i | 0.569480 | − | 0.822005i | \(-0.307145\pi\) |
−0.822005 | + | 0.569480i | \(0.807145\pi\) | |||||||
\(402\) | −1.01058e7 | + | 3.77155e7i | −0.155559 | + | 0.580553i | ||||
\(403\) | −4.01458e6 | − | 6.95345e6i | −0.0613373 | − | 0.106239i | ||||
\(404\) | −2.87315e7 | − | 4.97644e7i | −0.435727 | − | 0.754701i | ||||
\(405\) | 7.29590e6 | + | 2.72287e7i | 0.109828 | + | 0.409884i | ||||
\(406\) | 1.74634e8i | 2.60945i | ||||||||
\(407\) | −4.26647e7 | + | 6.52020e7i | −0.632827 | + | 0.967114i | ||||
\(408\) | 8.03382e7 | 1.18288 | ||||||||
\(409\) | 27515.4 | − | 7372.73i | 0.000402167 | − | 0.000107760i | −0.258618 | − | 0.965980i | \(-0.583267\pi\) |
0.259020 | + | 0.965872i | \(0.416600\pi\) | |||||||
\(410\) | −4.54626e7 | + | 2.62478e7i | −0.659634 | + | 0.380840i | ||||
\(411\) | 2.76787e7 | − | 1.59803e7i | 0.398676 | − | 0.230176i | ||||
\(412\) | −1.85631e8 | − | 4.97396e7i | −2.65435 | − | 0.711231i | ||||
\(413\) | 3.28863e7 | − | 3.28863e7i | 0.466837 | − | 0.466837i | ||||
\(414\) | −2.35087e7 | − | 4.07183e7i | −0.331305 | − | 0.573838i | ||||
\(415\) | 5.83339e7 | − | 5.83339e7i | 0.816162 | − | 0.816162i | ||||
\(416\) | −5.74741e6 | + | 9.95481e6i | −0.0798348 | + | 0.138278i | ||||
\(417\) | 1.40563e7 | 0.193849 | ||||||||
\(418\) | − | 1.47440e7i | − | 0.201876i | ||||||
\(419\) | 2.85370e7 | − | 4.94276e7i | 0.387942 | − | 0.671935i | −0.604231 | − | 0.796810i | \(-0.706519\pi\) |
0.992173 | + | 0.124874i | \(0.0398527\pi\) | |||||||
\(420\) | −3.23370e7 | − | 8.66468e6i | −0.436468 | − | 0.116951i | ||||
\(421\) | 1.51763e7 | + | 1.51763e7i | 0.203385 | + | 0.203385i | 0.801449 | − | 0.598064i | \(-0.204063\pi\) |
−0.598064 | + | 0.801449i | \(0.704063\pi\) | |||||||
\(422\) | 2.27950e8 | − | 6.10790e7i | 3.03321 | − | 0.812746i | ||||
\(423\) | −2.01486e7 | + | 3.48983e7i | −0.266209 | + | 0.461088i | ||||
\(424\) | −3.91360e7 | − | 1.46057e8i | −0.513427 | − | 1.91613i | ||||
\(425\) | −2.08429e7 | + | 7.77867e7i | −0.271513 | + | 1.01330i | ||||
\(426\) | −3.55847e7 | − | 9.53489e6i | −0.460293 | − | 0.123335i | ||||
\(427\) | −1.21639e8 | + | 3.25930e7i | −1.56239 | + | 0.418640i | ||||
\(428\) | −7.45847e7 | − | 4.30615e7i | −0.951303 | − | 0.549235i | ||||
\(429\) | −1.09913e6 | − | 4.10199e6i | −0.0139212 | − | 0.0519545i | ||||
\(430\) | 7.91112e7 | − | 7.91112e7i | 0.995021 | − | 0.995021i | ||||
\(431\) | 2.27489e7 | − | 8.48999e7i | 0.284137 | − | 1.06041i | −0.665331 | − | 0.746549i | \(-0.731709\pi\) |
0.949468 | − | 0.313865i | \(-0.101624\pi\) | |||||||
\(432\) | 7.83907e7 | + | 4.52589e7i | 0.972329 | + | 0.561375i | ||||
\(433\) | −9.11615e6 | −0.112292 | −0.0561459 | − | 0.998423i | \(-0.517881\pi\) | ||||
−0.0561459 | + | 0.998423i | \(0.517881\pi\) | |||||||
\(434\) | 1.29823e8i | 1.58812i | ||||||||
\(435\) | 1.85183e7 | + | 1.06916e7i | 0.224975 | + | 0.129889i | ||||
\(436\) | 1.78739e8 | + | 1.78739e8i | 2.15655 | + | 2.15655i | ||||
\(437\) | −2.84708e6 | + | 1.64376e6i | −0.0341157 | + | 0.0196967i | ||||
\(438\) | 5.81394e7 | + | 5.81394e7i | 0.691907 | + | 0.691907i | ||||
\(439\) | −1.54314e7 | + | 5.75909e7i | −0.182395 | + | 0.680707i | 0.812778 | + | 0.582573i | \(0.197954\pi\) |
−0.995173 | + | 0.0981340i | \(0.968713\pi\) | |||||||
\(440\) | −6.73401e7 | − | 1.16636e8i | −0.790525 | − | 1.36923i | ||||
\(441\) | −4.19751e6 | − | 7.27030e6i | −0.0489414 | − | 0.0847689i | ||||
\(442\) | 9.69835e6 | + | 3.61947e7i | 0.112313 | + | 0.419159i | ||||
\(443\) | − | 6.57139e7i | − | 0.755868i | −0.925832 | − | 0.377934i | \(-0.876635\pi\) | ||
0.925832 | − | 0.377934i | \(-0.123365\pi\) | |||||||
\(444\) | −5.60381e7 | + | 2.83086e7i | −0.640228 | + | 0.323422i | ||||
\(445\) | −1.35702e7 | −0.153995 | ||||||||
\(446\) | 9.00538e6 | − | 2.41298e6i | 0.101507 | − | 0.0271988i | ||||
\(447\) | −1.21120e7 | + | 6.99284e6i | −0.135610 | + | 0.0782945i | ||||
\(448\) | 7.91197e6 | − | 4.56798e6i | 0.0879935 | − | 0.0508030i | ||||
\(449\) | −7.52407e7 | − | 2.01607e7i | −0.831216 | − | 0.222724i | −0.181972 | − | 0.983304i | \(-0.558248\pi\) |
−0.649244 | + | 0.760580i | \(0.724915\pi\) | |||||||
\(450\) | −6.72662e7 | + | 6.72662e7i | −0.738175 | + | 0.738175i | ||||
\(451\) | 3.73490e7 | + | 6.46903e7i | 0.407145 | + | 0.705196i | ||||
\(452\) | −2.27374e8 | + | 2.27374e8i | −2.46221 | + | 2.46221i | ||||
\(453\) | −2.03609e7 | + | 3.52661e7i | −0.219029 | + | 0.379369i | ||||
\(454\) | 1.16097e8 | 1.24066 | ||||||||
\(455\) | − | 8.72196e6i | − | 0.0925934i | ||||||
\(456\) | 3.31781e6 | − | 5.74661e6i | 0.0349910 | − | 0.0606063i | ||||
\(457\) | 1.20907e8 | + | 3.23970e7i | 1.26679 | + | 0.339435i | 0.828799 | − | 0.559546i | \(-0.189024\pi\) |
0.437988 | + | 0.898981i | \(0.355691\pi\) | |||||||
\(458\) | 6.91056e7 | + | 6.91056e7i | 0.719311 | + | 0.719311i | ||||
\(459\) | 9.17983e7 | − | 2.45973e7i | 0.949285 | − | 0.254360i | ||||
\(460\) | −2.68812e7 | + | 4.65596e7i | −0.276169 | + | 0.478339i | ||||
\(461\) | −2.90689e7 | − | 1.08487e8i | −0.296706 | − | 1.10732i | −0.939853 | − | 0.341579i | \(-0.889038\pi\) |
0.643147 | − | 0.765742i | \(-0.277628\pi\) | |||||||
\(462\) | −1.77718e7 | + | 6.63251e7i | −0.180221 | + | 0.672593i | ||||
\(463\) | 7.90964e7 | + | 2.11938e7i | 0.796919 | + | 0.213534i | 0.634231 | − | 0.773144i | \(-0.281317\pi\) |
0.162688 | + | 0.986678i | \(0.447984\pi\) | |||||||
\(464\) | −2.46998e8 | + | 6.61829e7i | −2.47252 | + | 0.662509i | ||||
\(465\) | 1.37666e7 | + | 7.94815e6i | 0.136920 | + | 0.0790510i | ||||
\(466\) | −6.84038e7 | − | 2.55286e8i | −0.675962 | − | 2.52273i | ||||
\(467\) | −2.30406e7 | + | 2.30406e7i | −0.226226 | + | 0.226226i | −0.811114 | − | 0.584888i | \(-0.801138\pi\) |
0.584888 | + | 0.811114i | \(0.301138\pi\) | |||||||
\(468\) | −7.94795e6 | + | 2.96621e7i | −0.0775385 | + | 0.289378i | ||||
\(469\) | 9.88224e7 | + | 5.70551e7i | 0.957937 | + | 0.553065i | ||||
\(470\) | 6.64182e7 | 0.639725 | ||||||||
\(471\) | 2.18152e7i | 0.208783i | ||||||||
\(472\) | 1.30556e8 | + | 7.53765e7i | 1.24157 | + | 0.716820i | ||||
\(473\) | −1.12570e8 | − | 1.12570e8i | −1.06375 | − | 1.06375i | ||||
\(474\) | 1.54126e7 | − | 8.89844e6i | 0.144724 | − | 0.0835563i | ||||
\(475\) | 4.70333e6 | + | 4.70333e6i | 0.0438859 | + | 0.0438859i | ||||
\(476\) | 1.08790e8 | − | 4.06009e8i | 1.00871 | − | 3.76456i | ||||
\(477\) | −4.23587e7 | − | 7.33674e7i | −0.390290 | − | 0.676002i | ||||
\(478\) | 1.46083e8 | + | 2.53023e8i | 1.33757 | + | 2.31673i | ||||
\(479\) | −2.71159e6 | − | 1.01198e7i | −0.0246728 | − | 0.0920800i | 0.952492 | − | 0.304565i | \(-0.0985110\pi\) |
−0.977164 | + | 0.212485i | \(0.931844\pi\) | |||||||
\(480\) | − | 2.27577e7i | − | 0.205781i | ||||||
\(481\) | −1.09026e7 | − | 1.21933e7i | −0.0979704 | − | 0.109568i | ||||
\(482\) | 1.05849e8 | 0.945248 | ||||||||
\(483\) | 1.47888e7 | − | 3.96264e6i | 0.131247 | − | 0.0351676i | ||||
\(484\) | −7.46895e7 | + | 4.31220e7i | −0.658754 | + | 0.380332i | ||||
\(485\) | −1.01022e8 | + | 5.83253e7i | −0.885508 | + | 0.511248i | ||||
\(486\) | 1.65520e8 | + | 4.43508e7i | 1.44192 | + | 0.386361i | ||||
\(487\) | 1.10250e7 | − | 1.10250e7i | 0.0954533 | − | 0.0954533i | −0.657768 | − | 0.753221i | \(-0.728499\pi\) |
0.753221 | + | 0.657768i | \(0.228499\pi\) | |||||||
\(488\) | −2.04096e8 | − | 3.53504e8i | −1.75620 | − | 3.04183i | ||||
\(489\) | 1.62342e7 | − | 1.62342e7i | 0.138837 | − | 0.138837i | ||||
\(490\) | −6.91838e6 | + | 1.19830e7i | −0.0588053 | + | 0.101854i | ||||
\(491\) | −9.71305e7 | −0.820562 | −0.410281 | − | 0.911959i | \(-0.634569\pi\) | ||||
−0.410281 | + | 0.911959i | \(0.634569\pi\) | |||||||
\(492\) | 6.01862e7i | 0.505361i | ||||||||
\(493\) | −1.34238e8 | + | 2.32508e8i | −1.12030 | + | 1.94042i | ||||
\(494\) | 2.98954e6 | + | 801045.i | 0.0247984 | + | 0.00664471i | ||||
\(495\) | −5.33558e7 | − | 5.33558e7i | −0.439912 | − | 0.439912i | ||||
\(496\) | −1.83619e8 | + | 4.92007e7i | −1.50478 | + | 0.403205i | ||||
\(497\) | −5.38316e7 | + | 9.32391e7i | −0.438499 | + | 0.759502i | ||||
\(498\) | −3.52857e7 | − | 1.31688e8i | −0.285700 | − | 1.06625i | ||||
\(499\) | 2.55247e7 | − | 9.52595e7i | 0.205428 | − | 0.766667i | −0.783891 | − | 0.620898i | \(-0.786768\pi\) |
0.989319 | − | 0.145768i | \(-0.0465654\pi\) | |||||||
\(500\) | 2.68708e8 | + | 7.20002e7i | 2.14967 | + | 0.576001i | ||||
\(501\) | −8.17490e6 | + | 2.19046e6i | −0.0650084 | + | 0.0174189i | ||||
\(502\) | 1.24489e8 | + | 7.18740e7i | 0.984060 | + | 0.568147i | ||||
\(503\) | 2.88213e7 | + | 1.07563e8i | 0.226470 | + | 0.845196i | 0.981810 | + | 0.189864i | \(0.0608048\pi\) |
−0.755341 | + | 0.655332i | \(0.772529\pi\) | |||||||
\(504\) | 1.96113e8 | − | 1.96113e8i | 1.53184 | − | 1.53184i | ||||
\(505\) | −7.67130e6 | + | 2.86297e7i | −0.0595655 | + | 0.222302i | ||||
\(506\) | 9.54966e7 | + | 5.51350e7i | 0.737117 | + | 0.425575i | ||||
\(507\) | −4.03728e7 | −0.309788 | ||||||||
\(508\) | − | 2.30704e8i | − | 1.75980i | ||||||
\(509\) | 349537. | + | 201805.i | 0.00265057 | + | 0.00153031i | 0.501325 | − | 0.865259i | \(-0.332846\pi\) |
−0.498674 | + | 0.866790i | \(0.666180\pi\) | |||||||
\(510\) | −5.24582e7 | − | 5.24582e7i | −0.395460 | − | 0.395460i | ||||
\(511\) | 2.08096e8 | − | 1.20144e8i | 1.55956 | − | 0.900411i | ||||
\(512\) | −2.12618e8 | − | 2.12618e8i | −1.58413 | − | 1.58413i | ||||
\(513\) | 2.03164e6 | − | 7.58217e6i | 0.0150485 | − | 0.0561619i | ||||
\(514\) | 1.01371e8 | + | 1.75579e8i | 0.746490 | + | 1.29296i | ||||
\(515\) | 4.95633e7 | + | 8.58462e7i | 0.362860 | + | 0.628492i | ||||
\(516\) | −3.31988e7 | − | 1.23900e8i | −0.241642 | − | 0.901822i | ||||
\(517\) | − | 9.45087e7i | − | 0.683912i | ||||||
\(518\) | 5.40899e7 | + | 2.58882e8i | 0.389159 | + | 1.86257i | ||||
\(519\) | 8.48221e7 | 0.606746 | ||||||||
\(520\) | 2.73083e7 | − | 7.31722e6i | 0.194215 | − | 0.0520399i | ||||
\(521\) | 1.83007e8 | − | 1.05659e8i | 1.29406 | − | 0.747126i | 0.314689 | − | 0.949195i | \(-0.398100\pi\) |
0.979371 | + | 0.202069i | \(0.0647665\pi\) | |||||||
\(522\) | −2.74655e8 | + | 1.58572e8i | −1.93097 | + | 1.11485i | ||||
\(523\) | −1.16992e8 | − | 3.13479e7i | −0.817807 | − | 0.219131i | −0.174419 | − | 0.984671i | \(-0.555805\pi\) |
−0.643387 | + | 0.765541i | \(0.722471\pi\) | |||||||
\(524\) | −3.67663e8 | + | 3.67663e8i | −2.55538 | + | 2.55538i | ||||
\(525\) | −1.54886e7 | − | 2.68270e7i | −0.107037 | − | 0.185393i | ||||
\(526\) | 1.43943e8 | − | 1.43943e8i | 0.989081 | − | 0.989081i | ||||
\(527\) | −9.97934e7 | + | 1.72847e8i | −0.681821 | + | 1.18095i | ||||
\(528\) | −1.00544e8 | −0.683053 | ||||||||
\(529\) | 1.23449e8i | 0.833910i | ||||||||
\(530\) | −6.98161e7 | + | 1.20925e8i | −0.468951 | + | 0.812248i | ||||
\(531\) | 8.15836e7 | + | 2.18603e7i | 0.544903 | + | 0.146006i | ||||
\(532\) | −2.45491e7 | − | 2.45491e7i | −0.163043 | − | 0.163043i | ||||
\(533\) | −1.51460e7 | + | 4.05837e6i | −0.100027 | + | 0.0268022i | ||||
\(534\) | −1.12131e7 | + | 1.94216e7i | −0.0736377 | + | 0.127544i | ||||
\(535\) | 1.14974e7 | + | 4.29089e7i | 0.0750825 | + | 0.280212i | ||||
\(536\) | −9.57319e7 | + | 3.57276e8i | −0.621674 | + | 2.32012i | ||||
\(537\) | 3.99034e6 | + | 1.06921e6i | 0.0257684 | + | 0.00690461i | ||||
\(538\) | −2.69082e8 | + | 7.21003e7i | −1.72798 | + | 0.463010i | ||||
\(539\) | 1.70510e7 | + | 9.84441e6i | 0.108889 | + | 0.0628671i | ||||
\(540\) | −3.32244e7 | − | 1.23995e8i | −0.210997 | − | 0.787450i | ||||
\(541\) | 7.35095e7 | − | 7.35095e7i | 0.464250 | − | 0.464250i | −0.435796 | − | 0.900046i | \(-0.643533\pi\) |
0.900046 | + | 0.435796i | \(0.143533\pi\) | |||||||
\(542\) | −6.65683e7 | + | 2.48436e8i | −0.418090 | + | 1.56033i | ||||
\(543\) | −5.58462e6 | − | 3.22428e6i | −0.0348814 | − | 0.0201388i | ||||
\(544\) | 2.85736e8 | 1.77488 | ||||||||
\(545\) | − | 1.30382e8i | − | 0.805433i | ||||||
\(546\) | −1.24828e7 | − | 7.20694e6i | −0.0766891 | − | 0.0442764i | ||||
\(547\) | 4.64269e7 | + | 4.64269e7i | 0.283666 | + | 0.283666i | 0.834569 | − | 0.550903i | \(-0.185717\pi\) |
−0.550903 | + | 0.834569i | \(0.685717\pi\) | |||||||
\(548\) | 4.69409e8 | − | 2.71013e8i | 2.85239 | − | 1.64683i | ||||
\(549\) | −1.61712e8 | − | 1.61712e8i | −0.977294 | − | 0.977294i | ||||
\(550\) | 5.77439e7 | − | 2.15503e8i | 0.347071 | − | 1.29529i | ||||
\(551\) | 1.10875e7 | + | 1.92042e7i | 0.0662797 | + | 0.114800i | ||||
\(552\) | 2.48139e7 | + | 4.29789e7i | 0.147529 | + | 0.255527i | ||||
\(553\) | −1.34613e7 | − | 5.02384e7i | −0.0796000 | − | 0.297071i | ||||
\(554\) | − | 2.37694e8i | − | 1.39794i | ||||||
\(555\) | 3.07636e7 | + | 1.01137e7i | 0.179953 | + | 0.0591605i | ||||
\(556\) | 2.38384e8 | 1.38692 | ||||||||
\(557\) | 2.32252e7 | − | 6.22318e6i | 0.134398 | − | 0.0360119i | −0.190993 | − | 0.981591i | \(-0.561171\pi\) |
0.325391 | + | 0.945580i | \(0.394504\pi\) | |||||||
\(558\) | −2.04180e8 | + | 1.17883e8i | −1.17520 | + | 0.678499i | ||||
\(559\) | 2.89411e7 | − | 1.67091e7i | 0.165684 | − | 0.0956574i | ||||
\(560\) | −1.99463e8 | − | 5.34461e7i | −1.13579 | − | 0.304335i | ||||
\(561\) | −7.46446e7 | + | 7.46446e7i | −0.422775 | + | 0.422775i | ||||
\(562\) | −2.53608e8 | − | 4.39263e8i | −1.42875 | − | 2.47466i | ||||
\(563\) | −1.09645e8 | + | 1.09645e8i | −0.614420 | + | 0.614420i | −0.944095 | − | 0.329674i | \(-0.893061\pi\) |
0.329674 | + | 0.944095i | \(0.393061\pi\) | |||||||
\(564\) | 3.80741e7 | − | 6.59464e7i | 0.212223 | − | 0.367581i | ||||
\(565\) | 1.65859e8 | 0.919591 | ||||||||
\(566\) | − | 5.91003e8i | − | 3.25942i | ||||||
\(567\) | 6.80718e7 | − | 1.17904e8i | 0.373438 | − | 0.646813i | ||||
\(568\) | −3.37091e8 | − | 9.03232e7i | −1.83951 | − | 0.492895i | ||||
\(569\) | −1.98583e8 | − | 1.98583e8i | −1.07797 | − | 1.07797i | −0.996692 | − | 0.0812767i | \(-0.974100\pi\) |
−0.0812767 | − | 0.996692i | \(-0.525900\pi\) | |||||||
\(570\) | −5.91876e6 | + | 1.58593e6i | −0.0319600 | + | 0.00856365i | ||||
\(571\) | 7.91931e7 | − | 1.37167e8i | 0.425382 | − | 0.736783i | −0.571074 | − | 0.820899i | \(-0.693473\pi\) |
0.996456 | + | 0.0841153i | \(0.0268064\pi\) | |||||||
\(572\) | −1.86403e7 | − | 6.95665e7i | −0.0996012 | − | 0.371717i | ||||
\(573\) | 1.09521e6 | − | 4.08738e6i | 0.00582148 | − | 0.0217261i | ||||
\(574\) | 2.44896e8 | + | 6.56197e7i | 1.29493 | + | 0.346976i | ||||
\(575\) | −4.80516e7 | + | 1.28754e7i | −0.252757 | + | 0.0677261i | ||||
\(576\) | 1.43686e7 | + | 8.29569e6i | 0.0751876 | + | 0.0434096i | ||||
\(577\) | −2.89487e7 | − | 1.08038e8i | −0.150696 | − | 0.562405i | −0.999436 | − | 0.0335940i | \(-0.989305\pi\) |
0.848740 | − | 0.528811i | \(-0.177362\pi\) | |||||||
\(578\) | 4.11904e8 | − | 4.11904e8i | 2.13311 | − | 2.13311i | ||||
\(579\) | −1.30156e6 | + | 4.85748e6i | −0.00670545 | + | 0.0250251i | ||||
\(580\) | 3.14056e8 | + | 1.81320e8i | 1.60962 | + | 0.929313i | ||||
\(581\) | −3.98429e8 | −2.03152 | ||||||||
\(582\) | 1.92776e8i | 0.977878i | ||||||||
\(583\) | 1.72068e8 | + | 9.93437e7i | 0.868351 | + | 0.501343i | ||||
\(584\) | 5.50750e8 | + | 5.50750e8i | 2.76513 | + | 2.76513i | ||||
\(585\) | 1.37175e7 | − | 7.91978e6i | 0.0685182 | − | 0.0395590i | ||||
\(586\) | 9.49681e7 | + | 9.49681e7i | 0.471938 | + | 0.471938i | ||||
\(587\) | −2.73621e7 | + | 1.02117e8i | −0.135281 | + | 0.504874i | 0.864716 | + | 0.502261i | \(0.167498\pi\) |
−0.999997 | + | 0.00261312i | \(0.999168\pi\) | |||||||
\(588\) | 7.93191e6 | + | 1.37385e7i | 0.0390163 | + | 0.0675782i | ||||
\(589\) | 8.24254e6 | + | 1.42765e7i | 0.0403381 | + | 0.0698676i | ||||
\(590\) | −3.60303e7 | − | 1.34467e8i | −0.175433 | − | 0.654726i | ||||
\(591\) | − | 7.75060e7i | − | 0.375468i | ||||||
\(592\) | −3.45658e8 | + | 1.74615e8i | −1.66602 | + | 0.841621i | ||||
\(593\) | 2.01437e8 | 0.965994 | 0.482997 | − | 0.875622i | \(-0.339548\pi\) | ||||
0.482997 | + | 0.875622i | \(0.339548\pi\) | |||||||
\(594\) | −2.54321e8 | + | 6.81452e7i | −1.21345 | + | 0.325144i | ||||
\(595\) | −1.87762e8 | + | 1.08404e8i | −0.891366 | + | 0.514630i | ||||
\(596\) | −2.05409e8 | + | 1.18593e8i | −0.970244 | + | 0.560171i | ||||
\(597\) | 3.75475e7 | + | 1.00608e7i | 0.176465 | + | 0.0472836i | ||||
\(598\) | −1.63677e7 | + | 1.63677e7i | −0.0765394 | + | 0.0765394i | ||||
\(599\) | 6.03028e7 | + | 1.04447e8i | 0.280580 | + | 0.485979i | 0.971528 | − | 0.236926i | \(-0.0761399\pi\) |
−0.690948 | + | 0.722905i | \(0.742807\pi\) | |||||||
\(600\) | 7.10005e7 | − | 7.10005e7i | 0.328706 | − | 0.328706i | ||||
\(601\) | 1.97854e7 | − | 3.42693e7i | 0.0911426 | − | 0.157864i | −0.816850 | − | 0.576851i | \(-0.804281\pi\) |
0.907992 | + | 0.418987i | \(0.137615\pi\) | |||||||
\(602\) | −5.40340e8 | −2.47673 | ||||||||
\(603\) | 2.07230e8i | 0.945152i | ||||||||
\(604\) | −3.45304e8 | + | 5.98084e8i | −1.56708 | + | 2.71426i | ||||
\(605\) | 4.29692e7 | + | 1.15136e7i | 0.194040 | + | 0.0519928i | ||||
\(606\) | 3.46357e7 | + | 3.46357e7i | 0.155635 | + | 0.155635i | ||||
\(607\) | 3.17176e8 | − | 8.49870e7i | 1.41819 | − | 0.380002i | 0.533347 | − | 0.845896i | \(-0.320934\pi\) |
0.884841 | + | 0.465894i | \(0.154267\pi\) | |||||||
\(608\) | 1.18003e7 | − | 2.04387e7i | 0.0525028 | − | 0.0909376i | ||||
\(609\) | −2.67289e7 | − | 9.97538e7i | −0.118340 | − | 0.441649i | ||||
\(610\) | −9.75587e7 | + | 3.64094e8i | −0.429810 | + | 1.60407i | ||||
\(611\) | 1.91629e7 | + | 5.13469e6i | 0.0840114 | + | 0.0225108i | ||||
\(612\) | 7.37335e8 | − | 1.97568e8i | 3.21670 | − | 0.861912i | ||||
\(613\) | 6.28008e7 | + | 3.62580e7i | 0.272636 | + | 0.157407i | 0.630085 | − | 0.776526i | \(-0.283020\pi\) |
−0.357449 | + | 0.933933i | \(0.616353\pi\) | |||||||
\(614\) | −1.08389e7 | − | 4.04511e7i | −0.0468250 | − | 0.174753i | ||||
\(615\) | 2.19516e7 | − | 2.19516e7i | 0.0943716 | − | 0.0943716i | ||||
\(616\) | −1.68351e8 | + | 6.28293e8i | −0.720232 | + | 2.68794i | ||||
\(617\) | −2.33643e8 | − | 1.34894e8i | −0.994713 | − | 0.574298i | −0.0880336 | − | 0.996118i | \(-0.528058\pi\) |
−0.906680 | + | 0.421819i | \(0.861392\pi\) | |||||||
\(618\) | 1.63816e8 | 0.694051 | ||||||||
\(619\) | − | 3.78472e8i | − | 1.59574i | −0.602831 | − | 0.797869i | \(-0.705961\pi\) | ||
0.602831 | − | 0.797869i | \(-0.294039\pi\) | |||||||
\(620\) | 2.33471e8 | + | 1.34794e8i | 0.979619 | + | 0.565583i | ||||
\(621\) | 4.15124e7 | + | 4.15124e7i | 0.173342 | + | 0.173342i | ||||
\(622\) | −1.10985e8 | + | 6.40773e7i | −0.461205 | + | 0.266277i | ||||
\(623\) | 4.63434e7 | + | 4.63434e7i | 0.191656 | + | 0.191656i | ||||
\(624\) | 5.46259e6 | − | 2.03867e7i | 0.0224825 | − | 0.0839059i | ||||
\(625\) | 6.63367e6 | + | 1.14899e7i | 0.0271715 | + | 0.0470625i | ||||
\(626\) | −4.23340e7 | − | 7.33247e7i | −0.172571 | − | 0.298901i | ||||
\(627\) | 2.25667e6 | + | 8.42201e6i | 0.00915516 | + | 0.0341675i | ||||
\(628\) | 3.69968e8i | 1.49377i | ||||||||
\(629\) | −1.26983e8 | + | 3.86254e8i | −0.510264 | + | 1.55211i | ||||
\(630\) | −2.56110e8 | −1.02425 | ||||||||
\(631\) | 2.53117e8 | − | 6.78224e7i | 1.00747 | − | 0.269951i | 0.282899 | − | 0.959150i | \(-0.408704\pi\) |
0.724573 | + | 0.689199i | \(0.242037\pi\) | |||||||
\(632\) | 1.46002e8 | − | 8.42943e7i | 0.578372 | − | 0.333923i | ||||
\(633\) | −1.20860e8 | + | 6.97788e7i | −0.476511 | + | 0.275114i | ||||
\(634\) | −5.48048e8 | − | 1.46849e8i | −2.15056 | − | 0.576240i | ||||
\(635\) | −8.41442e7 | + | 8.41442e7i | −0.328627 | + | 0.328627i | ||||
\(636\) | 8.00440e7 | + | 1.38640e8i | 0.311141 | + | 0.538912i | ||||
\(637\) | −2.92248e6 | + | 2.92248e6i | −0.0113066 | + | 0.0113066i | ||||
\(638\) | 3.71898e8 | − | 6.44147e8i | 1.43206 | − | 2.48041i | ||||
\(639\) | −1.95522e8 | −0.749366 | ||||||||
\(640\) | 1.43025e8i | 0.545595i | ||||||||
\(641\) | −1.46138e8 | + | 2.53119e8i | −0.554869 | + | 0.961061i | 0.443045 | + | 0.896499i | \(0.353898\pi\) |
−0.997914 | + | 0.0645616i | \(0.979435\pi\) | |||||||
\(642\) | 7.09111e7 | + | 1.90006e7i | 0.267984 | + | 0.0718061i | ||||
\(643\) | 2.50657e8 | + | 2.50657e8i | 0.942858 | + | 0.942858i | 0.998453 | − | 0.0555950i | \(-0.0177056\pi\) |
−0.0555950 | + | 0.998453i | \(0.517706\pi\) | |||||||
\(644\) | 2.50806e8 | − | 6.72032e7i | 0.939031 | − | 0.251613i | ||||
\(645\) | −3.30811e7 | + | 5.72982e7i | −0.123282 | + | 0.213532i | ||||
\(646\) | −1.99122e7 | − | 7.43133e7i | −0.0738621 | − | 0.275657i | ||||
\(647\) | 7.78185e7 | − | 2.90423e8i | 0.287323 | − | 1.07230i | −0.659803 | − | 0.751439i | \(-0.729360\pi\) |
0.947125 | − | 0.320864i | \(-0.103973\pi\) | |||||||
\(648\) | 4.26262e8 | + | 1.14217e8i | 1.56658 | + | 0.419763i | ||||
\(649\) | −1.91338e8 | + | 5.12688e7i | −0.699949 | + | 0.187551i | ||||
\(650\) | 4.05589e7 | + | 2.34167e7i | 0.147688 | + | 0.0852680i | ||||
\(651\) | −1.98704e7 | − | 7.41574e7i | −0.0720218 | − | 0.268789i | ||||
\(652\) | 2.75319e8 | − | 2.75319e8i | 0.993330 | − | 0.993330i | ||||
\(653\) | 3.16334e7 | − | 1.18057e8i | 0.113607 | − | 0.423988i | −0.885572 | − | 0.464503i | \(-0.846233\pi\) |
0.999179 | + | 0.0405149i | \(0.0128998\pi\) | |||||||
\(654\) | −1.86602e8 | − | 1.07735e8i | −0.667088 | − | 0.385143i | ||||
\(655\) | 2.68194e8 | 0.954389 | ||||||||
\(656\) | 3.71245e8i | 1.31507i | ||||||||
\(657\) | 3.77914e8 | + | 2.18189e8i | 1.33259 | + | 0.769372i | ||||
\(658\) | −2.26823e8 | − | 2.26823e8i | −0.796176 | − | 0.796176i | ||||
\(659\) | −2.01051e8 | + | 1.16077e8i | −0.702506 | + | 0.405592i | −0.808280 | − | 0.588798i | \(-0.799601\pi\) |
0.105774 | + | 0.994390i | \(0.466268\pi\) | |||||||
\(660\) | 1.00825e8 | + | 1.00825e8i | 0.350700 | + | 0.350700i | ||||
\(661\) | −2.23759e7 | + | 8.35080e7i | −0.0774776 | + | 0.289150i | −0.993784 | − | 0.111328i | \(-0.964489\pi\) |
0.916306 | + | 0.400479i | \(0.131156\pi\) | |||||||
\(662\) | −2.71438e8 | − | 4.70144e8i | −0.935613 | − | 1.62053i | ||||
\(663\) | −1.10797e7 | − | 1.91907e7i | −0.0380180 | − | 0.0658491i | ||||
\(664\) | −3.34259e8 | − | 1.24747e9i | −1.14177 | − | 4.26114i | ||||
\(665\) | 1.79075e7i | 0.0608934i | ||||||||
\(666\) | −3.58041e8 | + | 3.20142e8i | −1.21202 | + | 1.08373i | ||||
\(667\) | −1.65847e8 | −0.558896 | ||||||||
\(668\) | −1.38640e8 | + | 3.71484e7i | −0.465113 | + | 0.124627i | ||||
\(669\) | −4.77471e6 | + | 2.75668e6i | −0.0159466 | + | 0.00920678i | ||||
\(670\) | 2.95799e8 | − | 1.70780e8i | 0.983496 | − | 0.567822i | ||||
\(671\) | 5.18082e8 | + | 1.38820e8i | 1.71487 | + | 0.459498i | ||||
\(672\) | −7.77192e7 | + | 7.77192e7i | −0.256107 | + | 0.256107i | ||||
\(673\) | 2.10155e7 | + | 3.64000e7i | 0.0689439 | + | 0.119414i | 0.898437 | − | 0.439103i | \(-0.144704\pi\) |
−0.829493 | + | 0.558517i | \(0.811370\pi\) | |||||||
\(674\) | −3.17657e8 | + | 3.17657e8i | −1.03748 | + | 1.03748i | ||||
\(675\) | 5.93903e7 | − | 1.02867e8i | 0.193110 | − | 0.334476i | ||||
\(676\) | −6.84691e8 | −2.21643 | ||||||||
\(677\) | − | 3.01560e8i | − | 0.971869i | −0.873995 | − | 0.485935i | \(-0.838479\pi\) | ||
0.873995 | − | 0.485935i | \(-0.161521\pi\) | |||||||
\(678\) | 1.37049e8 | − | 2.37376e8i | 0.439731 | − | 0.761637i | ||||
\(679\) | 5.44184e8 | + | 1.45814e8i | 1.73835 | + | 0.465788i | ||||
\(680\) | −4.96932e8 | − | 4.96932e8i | −1.58041 | − | 1.58041i | ||||
\(681\) | −6.63167e7 | + | 1.77695e7i | −0.209982 | + | 0.0562644i | ||||
\(682\) | 2.76471e8 | − | 4.78862e8i | 0.871559 | − | 1.50958i | ||||
\(683\) | 1.19184e8 | + | 4.44803e8i | 0.374074 | + | 1.39606i | 0.854693 | + | 0.519134i | \(0.173745\pi\) |
−0.480619 | + | 0.876930i | \(0.659588\pi\) | |||||||
\(684\) | 1.63183e7 | − | 6.09009e7i | 0.0509927 | − | 0.190307i | ||||
\(685\) | −2.70053e8 | − | 7.23604e7i | −0.840189 | − | 0.225128i | ||||
\(686\) | −5.28795e8 | + | 1.41690e8i | −1.63800 | + | 0.438902i | ||||
\(687\) | −5.00515e7 | − | 2.88972e7i | −0.154364 | − | 0.0891222i | ||||
\(688\) | −2.04779e8 | − | 7.64246e8i | −0.628811 | − | 2.34675i | ||||
\(689\) | −2.94918e7 | + | 2.94918e7i | −0.0901663 | + | 0.0901663i | ||||
\(690\) | 1.18611e7 | − | 4.42664e7i | 0.0361060 | − | 0.134749i | ||||
\(691\) | −4.45985e8 | − | 2.57489e8i | −1.35172 | − | 0.780414i | −0.363227 | − | 0.931701i | \(-0.618325\pi\) |
−0.988490 | + | 0.151286i | \(0.951658\pi\) | |||||||
\(692\) | 1.43852e9 | 4.34107 | ||||||||
\(693\) | 3.64428e8i | 1.09499i | ||||||||
\(694\) | −9.98041e7 | − | 5.76219e7i | −0.298586 | − | 0.172389i | ||||
\(695\) | −8.69453e7 | − | 8.69453e7i | −0.258995 | − | 0.258995i | ||||
\(696\) | 2.89903e8 | − | 1.67375e8i | 0.859853 | − | 0.496436i | ||||
\(697\) | 2.75615e8 | + | 2.75615e8i | 0.813961 | + | 0.813961i | ||||
\(698\) | −1.50801e7 | + | 5.62797e7i | −0.0443443 | + | 0.165495i | ||||
\(699\) | 7.81469e7 | + | 1.35354e8i | 0.228813 | + | 0.396315i | ||||
\(700\) | −2.62673e8 | − | 4.54964e8i | −0.765812 | − | 1.32643i | ||||
\(701\) | 1.05735e7 | + | 3.94608e7i | 0.0306948 | + | 0.114554i | 0.979574 | − | 0.201086i | \(-0.0644472\pi\) |
−0.948879 | + | 0.315641i | \(0.897781\pi\) | |||||||
\(702\) | − | 5.52695e7i | − | 0.159762i | ||||||
\(703\) | 2.23847e7 | + | 2.50347e7i | 0.0644296 | + | 0.0720570i | ||||
\(704\) | −3.89117e7 | −0.111523 | ||||||||
\(705\) | −3.79392e7 | + | 1.01658e7i | −0.108273 | + | 0.0290117i | ||||
\(706\) | −2.98582e8 | + | 1.72386e8i | −0.848495 | + | 0.489879i | ||||
\(707\) | 1.23970e8 | − | 7.15744e7i | 0.350800 | − | 0.202535i | ||||
\(708\) | −1.54166e8 | − | 4.13087e7i | −0.434399 | − | 0.116397i | ||||
\(709\) | 1.21125e8 | − | 1.21125e8i | 0.339856 | − | 0.339856i | −0.516457 | − | 0.856313i | \(-0.672749\pi\) |
0.856313 | + | 0.516457i | \(0.172749\pi\) | |||||||
\(710\) | 1.61131e8 | + | 2.79087e8i | 0.450199 | + | 0.779767i | ||||
\(711\) | 6.67892e7 | − | 6.67892e7i | 0.185822 | − | 0.185822i | ||||
\(712\) | −1.06220e8 | + | 1.83979e8i | −0.294285 | + | 0.509717i | ||||
\(713\) | −1.23292e8 | −0.340146 | ||||||||
\(714\) | 3.58297e8i | 0.984347i | ||||||||
\(715\) | −1.85742e7 | + | 3.21715e7i | −0.0508151 | + | 0.0880143i | ||||
\(716\) | 6.76729e7 | + | 1.81329e7i | 0.184364 | + | 0.0494002i | ||||
\(717\) | −1.22172e8 | − | 1.22172e8i | −0.331447 | − | 0.331447i | ||||
\(718\) | −7.52282e8 | + | 2.01573e8i | −2.03239 | + | 0.544578i | ||||
\(719\) | 2.06796e8 | − | 3.58182e8i | 0.556360 | − | 0.963644i | −0.441436 | − | 0.897293i | \(-0.645531\pi\) |
0.997796 | − | 0.0663512i | \(-0.0211358\pi\) | |||||||
\(720\) | −9.70610e7 | − | 3.62236e8i | −0.260044 | − | 0.970498i | ||||
\(721\) | 1.23909e8 | − | 4.62433e8i | 0.330594 | − | 1.23380i | ||||
\(722\) | 6.50796e8 | + | 1.74380e8i | 1.72915 | + | 0.463325i | ||||
\(723\) | −6.04628e7 | + | 1.62010e7i | −0.159983 | + | 0.0428673i | ||||
\(724\) | −9.47107e7 | − | 5.46812e7i | −0.249565 | − | 0.144086i | ||||
\(725\) | 8.68474e7 | + | 3.24119e8i | 0.227899 | + | 0.850532i | ||||
\(726\) | 5.19834e7 | − | 5.19834e7i | 0.135849 | − | 0.135849i | ||||
\(727\) | −7.61516e7 | + | 2.84202e8i | −0.198187 | + | 0.739645i | 0.793232 | + | 0.608920i | \(0.208397\pi\) |
−0.991419 | + | 0.130725i | \(0.958270\pi\) | |||||||
\(728\) | −1.18248e8 | − | 6.82708e7i | −0.306479 | − | 0.176946i | ||||
\(729\) | 1.73457e8 | 0.447724 | ||||||||
\(730\) | − | 7.19242e8i | − | 1.84887i | ||||||
\(731\) | −7.19411e8 | − | 4.15352e8i | −1.84172 | − | 1.06332i | ||||
\(732\) | 3.05582e8 | + | 3.05582e8i | 0.779103 | + | 0.779103i | ||||
\(733\) | 4.05145e7 | − | 2.33911e7i | 0.102872 | − | 0.0593934i | −0.447681 | − | 0.894193i | \(-0.647750\pi\) |
0.550554 | + | 0.834800i | \(0.314417\pi\) | |||||||
\(734\) | 8.19016e8 | + | 8.19016e8i | 2.07112 | + | 2.07112i | ||||
\(735\) | 2.11782e6 | − | 7.90380e6i | 0.00533368 | − | 0.0199056i | ||||
\(736\) | 8.82544e7 | + | 1.52861e8i | 0.221362 | + | 0.383410i | ||||
\(737\) | −2.43008e8 | − | 4.20903e8i | −0.607042 | − | 1.05143i | ||||
\(738\) | 1.19169e8 | + | 4.44745e8i | 0.296479 | + | 1.10648i | ||||
\(739\) | 4.75196e8i | 1.17744i | 0.808336 | + | 0.588721i | \(0.200369\pi\) | ||||
−0.808336 | + | 0.588721i | \(0.799631\pi\) | |||||||
\(740\) | 5.21727e8 | + | 1.71521e8i | 1.28750 | + | 0.423274i | ||||
\(741\) | −1.83028e6 | −0.00449846 | ||||||||
\(742\) | 6.51394e8 | − | 1.74541e8i | 1.59453 | − | 0.427253i | ||||
\(743\) | −5.70413e8 | + | 3.29328e8i | −1.39067 | + | 0.802902i | −0.993389 | − | 0.114796i | \(-0.963379\pi\) |
−0.397278 | + | 0.917698i | \(0.630045\pi\) | |||||||
\(744\) | 2.15515e8 | − | 1.24428e8i | 0.523310 | − | 0.302133i | ||||
\(745\) | 1.18173e8 | + | 3.16643e7i | 0.285791 | + | 0.0765775i | ||||
\(746\) | 7.06599e7 | − | 7.06599e7i | 0.170199 | − | 0.170199i | ||||
\(747\) | −3.61784e8 | − | 6.26628e8i | −0.867936 | − | 1.50331i | ||||
\(748\) | −1.26591e9 | + | 1.26591e9i | −3.02481 | + | 3.02481i | ||||
\(749\) | 1.07273e8 | − | 1.85801e8i | 0.255295 | − | 0.442185i | ||||
\(750\) | −2.37131e8 | −0.562088 | ||||||||
\(751\) | 6.09733e8i | 1.43953i | 0.694220 | + | 0.719763i | \(0.255750\pi\) | ||||
−0.694220 | + | 0.719763i | \(0.744250\pi\) | |||||||
\(752\) | 2.34852e8 | − | 4.06775e8i | 0.552255 | − | 0.956534i | ||||
\(753\) | −8.21114e7 | − | 2.20017e7i | −0.192317 | − | 0.0515313i | ||||
\(754\) | 1.10404e8 | + | 1.10404e8i | 0.257556 | + | 0.257556i | ||||
\(755\) | 3.44080e8 | − | 9.21961e7i | 0.799501 | − | 0.214226i | ||||
\(756\) | −3.09988e8 | + | 5.36916e8i | −0.717431 | + | 1.24263i | ||||
\(757\) | −1.04964e8 | − | 3.91732e8i | −0.241966 | − | 0.903030i | −0.974884 | − | 0.222713i | \(-0.928509\pi\) |
0.732918 | − | 0.680317i | \(-0.238158\pi\) | |||||||
\(758\) | −3.63014e8 | + | 1.35479e9i | −0.833519 | + | 3.11073i | ||||
\(759\) | −6.29881e7 | − | 1.68776e7i | −0.144057 | − | 0.0385999i | ||||
\(760\) | −5.60680e7 | + | 1.50234e7i | −0.127725 | + | 0.0342237i | ||||
\(761\) | 6.87727e8 | + | 3.97059e8i | 1.56049 | + | 0.900951i | 0.997207 | + | 0.0746897i | \(0.0237966\pi\) |
0.563287 | + | 0.826262i | \(0.309537\pi\) | |||||||
\(762\) | 5.08981e7 | + | 1.89954e8i | 0.115037 | + | 0.429323i | ||||
\(763\) | −4.45265e8 | + | 4.45265e8i | −1.00241 | + | 1.00241i | ||||
\(764\) | 1.85739e7 | − | 6.93187e7i | 0.0416508 | − | 0.155443i | ||||
\(765\) | −3.40986e8 | − | 1.96868e8i | −0.761643 | − | 0.439735i | ||||
\(766\) | 1.90503e8 | 0.423854 | ||||||||
\(767\) | − | 4.15818e7i | − | 0.0921546i | ||||||
\(768\) | 2.16681e8 | + | 1.25101e8i | 0.478340 | + | 0.276170i | ||||
\(769\) | −2.64169e8 | − | 2.64169e8i | −0.580902 | − | 0.580902i | 0.354249 | − | 0.935151i | \(-0.384737\pi\) |
−0.935151 | + | 0.354249i | \(0.884737\pi\) | |||||||
\(770\) | 5.20181e8 | − | 3.00327e8i | 1.13942 | − | 0.657843i | ||||
\(771\) | −8.47785e7 | − | 8.47785e7i | −0.184979 | − | 0.184979i | ||||
\(772\) | −2.20734e7 | + | 8.23790e7i | −0.0479752 | + | 0.179046i | ||||
\(773\) | 9.04869e7 | + | 1.56728e8i | 0.195906 | + | 0.339319i | 0.947197 | − | 0.320652i | \(-0.103902\pi\) |
−0.751291 | + | 0.659971i | \(0.770569\pi\) | |||||||
\(774\) | −4.90644e8 | − | 8.49820e8i | −1.05814 | − | 1.83275i | ||||
\(775\) | 6.45628e7 | + | 2.40952e8i | 0.138700 | + | 0.517637i | ||||
\(776\) | 1.82615e9i | 3.90798i | ||||||||
\(777\) | −7.05209e7 | − | 1.39599e8i | −0.150333 | − | 0.297591i | ||||
\(778\) | 4.46164e8 | 0.947448 | ||||||||
\(779\) | 3.10971e7 | − | 8.33244e6i | 0.0657821 | − | 0.0176263i | ||||
\(780\) | −2.59215e7 | + | 1.49658e7i | −0.0546231 | + | 0.0315366i | ||||
\(781\) | 3.97123e8 | − | 2.29279e8i | 0.833627 | − | 0.481295i | ||||
\(782\) | 5.55788e8 | + | 1.48923e8i | 1.16222 | + | 0.311417i | ||||
\(783\) | 2.80011e8 | − | 2.80011e8i | 0.583297 | − | 0.583297i | ||||
\(784\) | 4.89262e7 | + | 8.47426e7i | 0.101530 | + | 0.175855i | ||||
\(785\) | 1.34938e8 | − | 1.34938e8i | 0.278949 | − | 0.278949i | ||||
\(786\) | 2.21608e8 | − | 3.83837e8i | 0.456371 | − | 0.790458i | ||||
\(787\) | −2.42932e7 | −0.0498380 | −0.0249190 | − | 0.999689i | \(-0.507933\pi\) | ||||
−0.0249190 | + | 0.999689i | \(0.507933\pi\) | |||||||
\(788\) | − | 1.31444e9i | − | 2.68635i | ||||||
\(789\) | −6.01911e7 | + | 1.04254e8i | −0.122547 | + | 0.212257i | ||||
\(790\) | −1.50376e8 | − | 4.02930e7i | −0.304998 | − | 0.0817239i | ||||
\(791\) | −5.66422e8 | − | 5.66422e8i | −1.14449 | − | 1.14449i | ||||
\(792\) | −1.14101e9 | + | 3.05734e8i | −2.29676 | + | 0.615415i | ||||
\(793\) | −5.62952e7 | + | 9.75061e7i | −0.112889 | + | 0.195530i | ||||
\(794\) | 2.23231e8 | + | 8.33110e8i | 0.445958 | + | 1.66434i | ||||
\(795\) | 2.13717e7 | − | 7.97604e7i | 0.0425342 | − | 0.158740i | ||||
\(796\) | 6.36776e8 | + | 1.70624e8i | 1.26255 | + | 0.338298i | ||||
\(797\) | 8.40406e8 | − | 2.25186e8i | 1.66002 | − | 0.444802i | 0.697629 | − | 0.716459i | \(-0.254238\pi\) |
0.962394 | + | 0.271657i | \(0.0875715\pi\) | |||||||
\(798\) | 2.56290e7 | + | 1.47969e7i | 0.0504340 | + | 0.0291181i | ||||
\(799\) | −1.27637e8 | − | 4.76348e8i | −0.250228 | − | 0.933864i | ||||
\(800\) | 2.52525e8 | − | 2.52525e8i | 0.493212 | − | 0.493212i | ||||
\(801\) | −3.08055e7 | + | 1.14968e8i | −0.0599418 | + | 0.223706i | ||||
\(802\) | 2.88297e8 | + | 1.66448e8i | 0.558878 | + | 0.322669i | ||||
\(803\) | −1.02343e9 | −1.97658 | ||||||||
\(804\) | − | 3.91597e8i | − | 0.753480i | ||||||
\(805\) | −1.15987e8 | − | 6.69651e7i | −0.222342 | − | 0.128369i | ||||
\(806\) | 8.20751e7 | + | 8.20751e7i | 0.156749 | + | 0.156749i | ||||
\(807\) | 1.42669e8 | − | 8.23699e7i | 0.271462 | − | 0.156728i | ||||
\(808\) | 3.28102e8 | + | 3.28102e8i | 0.621977 | + | 0.621977i | ||||
\(809\) | −6.48769e7 | + | 2.42124e8i | −0.122531 | + | 0.457290i | −0.999740 | − | 0.0228183i | \(-0.992736\pi\) |
0.877209 | + | 0.480109i | \(0.159403\pi\) | |||||||
\(810\) | −2.03755e8 | − | 3.52915e8i | −0.383402 | − | 0.664071i | ||||
\(811\) | −1.91113e8 | − | 3.31018e8i | −0.358285 | − | 0.620567i | 0.629390 | − | 0.777090i | \(-0.283305\pi\) |
−0.987674 | + | 0.156523i | \(0.949972\pi\) | |||||||
\(812\) | −4.53301e8 | − | 1.69174e9i | −0.846679 | − | 3.15985i | ||||
\(813\) | − | 1.52100e8i | − | 0.283046i | ||||||
\(814\) | 3.51799e8 | − | 1.07009e9i | 0.652261 | − | 1.98403i | ||||
\(815\) | −2.00833e8 | −0.370991 | ||||||||
\(816\) | −5.06767e8 | + | 1.35788e8i | −0.932691 | + | 0.249914i | ||||
\(817\) | −5.94204e7 | + | 3.43064e7i | −0.108961 | + | 0.0629085i | ||||
\(818\) | −356631. | + | 205901.i | −0.000651567 | + | 0.000376182i | ||||
\(819\) | −7.38927e7 | − | 1.97995e7i | −0.134509 | − | 0.0360415i | ||||
\(820\) | 3.72282e8 | − | 3.72282e8i | 0.675197 | − | 0.675197i | ||||
\(821\) | −2.87056e8 | − | 4.97195e8i | −0.518724 | − | 0.898457i | −0.999763 | − | 0.0217577i | \(-0.993074\pi\) |
0.481039 | − | 0.876699i | \(-0.340260\pi\) | |||||||
\(822\) | −3.26705e8 | + | 3.26705e8i | −0.588221 | + | 0.588221i | ||||
\(823\) | 5.08169e8 | − | 8.80175e8i | 0.911609 | − | 1.57895i | 0.0998179 | − | 0.995006i | \(-0.468174\pi\) |
0.811791 | − | 0.583948i | \(-0.198493\pi\) | |||||||
\(824\) | 1.55182e9 | 2.77370 | ||||||||
\(825\) | 1.31937e8i | 0.234966i | ||||||||
\(826\) | −3.36168e8 | + | 5.82260e8i | −0.596508 | + | 1.03318i | ||||
\(827\) | −3.20834e8 | − | 8.59673e7i | −0.567236 | − | 0.151991i | −0.0362076 | − | 0.999344i | \(-0.511528\pi\) |
−0.531029 | + | 0.847354i | \(0.678194\pi\) | |||||||
\(828\) | 3.33432e8 | + | 3.33432e8i | 0.587377 | + | 0.587377i | ||||
\(829\) | −2.39188e8 | + | 6.40901e7i | −0.419832 | + | 0.112494i | −0.462549 | − | 0.886594i | \(-0.653065\pi\) |
0.0427176 | + | 0.999087i | \(0.486398\pi\) | |||||||
\(830\) | −5.96296e8 | + | 1.03282e9i | −1.04286 | + | 1.80629i | ||||
\(831\) | 3.63808e7 | + | 1.35775e8i | 0.0633971 | + | 0.236601i | ||||
\(832\) | 2.11409e6 | − | 7.88988e6i | 0.00367074 | − | 0.0136994i | ||||
\(833\) | 9.92366e7 | + | 2.65904e7i | 0.171687 | + | 0.0460033i | ||||
\(834\) | −1.96278e8 | + | 5.25925e7i | −0.338355 | + | 0.0906620i | ||||
\(835\) | 6.41149e7 | + | 3.70168e7i | 0.110129 | + | 0.0635827i | ||||
\(836\) | 3.82714e7 | + | 1.42831e8i | 0.0655021 | + | 0.244457i | ||||
\(837\) | 2.08162e8 | − | 2.08162e8i | 0.354997 | − | 0.354997i | ||||
\(838\) | −2.13546e8 | + | 7.96964e8i | −0.362877 | + | 1.35428i | ||||
\(839\) | −2.82459e8 | − | 1.63078e8i | −0.478267 | − | 0.276127i | 0.241427 | − | 0.970419i | \(-0.422385\pi\) |
−0.719694 | + | 0.694292i | \(0.755718\pi\) | |||||||
\(840\) | 2.70328e8 | 0.456093 | ||||||||
\(841\) | 5.23856e8i | 0.880691i | ||||||||
\(842\) | −2.68700e8 | − | 1.55134e8i | −0.450122 | − | 0.259878i | ||||
\(843\) | 2.12098e8 | + | 2.12098e8i | 0.354041 | + | 0.354041i | ||||
\(844\) | −2.04970e9 | + | 1.18339e9i | −3.40928 | + | 1.96835i | ||||
\(845\) | 2.49726e8 | + | 2.49726e8i | 0.413899 | + | 0.413899i | ||||
\(846\) | 1.50774e8 | − | 5.62697e8i | 0.249009 | − | 0.929315i | ||||
\(847\) | −1.07423e8 | − | 1.86062e8i | −0.176786 | − | 0.306202i | ||||
\(848\) | 4.93733e8 | + | 8.55170e8i | 0.809663 | + | 1.40238i | ||||
\(849\) | 9.04574e7 | + | 3.37592e8i | 0.147816 | + | 0.551656i | ||||
\(850\) | − | 1.16417e9i | − | 1.89566i | ||||||
\(851\) | −2.45857e8 | + | 5.13685e7i | −0.398927 | + | 0.0833505i | ||||
\(852\) | 3.69473e8 | 0.597398 | ||||||||
\(853\) | 4.89872e8 | − | 1.31261e8i | 0.789287 | − | 0.211489i | 0.158412 | − | 0.987373i | \(-0.449363\pi\) |
0.630875 | + | 0.775884i | \(0.282696\pi\) | |||||||
\(854\) | 1.57658e9 | − | 9.10237e8i | 2.53129 | − | 1.46144i | ||||
\(855\) | −2.81640e7 | + | 1.62605e7i | −0.0450606 | + | 0.0260157i | ||||
\(856\) | 6.71735e8 | + | 1.79991e8i | 1.07097 | + | 0.286965i | ||||
\(857\) | −2.21558e8 | + | 2.21558e8i | −0.352001 | + | 0.352001i | −0.860854 | − | 0.508853i | \(-0.830070\pi\) |
0.508853 | + | 0.860854i | \(0.330070\pi\) | |||||||
\(858\) | 3.06957e7 | + | 5.31665e7i | 0.0485977 | + | 0.0841737i | ||||
\(859\) | 2.89308e8 | − | 2.89308e8i | 0.456436 | − | 0.456436i | −0.441047 | − | 0.897484i | \(-0.645393\pi\) |
0.897484 | + | 0.441047i | \(0.145393\pi\) | |||||||
\(860\) | −5.61030e8 | + | 9.71732e8i | −0.882045 | + | 1.52775i | ||||
\(861\) | −1.49933e8 | −0.234902 | ||||||||
\(862\) | 1.27063e9i | 1.98380i | ||||||||
\(863\) | 2.03341e8 | − | 3.52197e8i | 0.316368 | − | 0.547966i | −0.663359 | − | 0.748301i | \(-0.730870\pi\) |
0.979727 | + | 0.200335i | \(0.0642032\pi\) | |||||||
\(864\) | −4.07091e8 | − | 1.09080e8i | −0.631176 | − | 0.169123i | ||||
\(865\) | −5.24667e8 | − | 5.24667e8i | −0.810654 | − | 0.810654i | ||||
\(866\) | 1.27295e8 | − | 3.41086e7i | 0.196001 | − | 0.0525183i | ||||
\(867\) | −1.72242e8 | + | 2.98332e8i | −0.264290 | + | 0.457764i | ||||
\(868\) | −3.36987e8 | − | 1.25765e9i | −0.515292 | − | 1.92310i | ||||
\(869\) | −5.73344e7 | + | 2.13975e8i | −0.0873687 | + | 0.326064i | ||||
\(870\) | −2.98587e8 | − | 8.00062e7i | −0.453433 | − | 0.121497i | ||||
\(871\) | 9.85466e7 | − | 2.64055e7i | 0.149138 | − | 0.0399613i | ||||
\(872\) | −1.76767e9 | − | 1.02056e9i | −2.66594 | − | 1.53918i | ||||
\(873\) | 2.64805e8 | + | 9.88267e8i | 0.398001 | + | 1.48536i | ||||
\(874\) | 3.36054e7 | − | 3.36054e7i | 0.0503356 | − | 0.0503356i | ||||
\(875\) | −1.79363e8 | + | 6.69392e8i | −0.267737 | + | 0.999209i | ||||
\(876\) | −7.14133e8 | − | 4.12305e8i | −1.06235 | − | 0.613347i | ||||
\(877\) | −3.70180e8 | −0.548800 | −0.274400 | − | 0.961616i | \(-0.588479\pi\) | ||||
−0.274400 | + | 0.961616i | \(0.588479\pi\) | |||||||
\(878\) | − | 8.61919e8i | − | 1.27345i | ||||||
\(879\) | −6.87830e7 | − | 3.97119e7i | −0.101278 | − | 0.0584728i | ||||
\(880\) | 6.21915e8 | + | 6.21915e8i | 0.912605 | + | 0.912605i | ||||
\(881\) | 3.79021e8 | − | 2.18828e8i | 0.554288 | − | 0.320018i | −0.196562 | − | 0.980491i | \(-0.562978\pi\) |
0.750850 | + | 0.660473i | \(0.229644\pi\) | |||||||
\(882\) | 8.58150e7 | + | 8.58150e7i | 0.125071 | + | 0.125071i | ||||
\(883\) | −9.98270e7 | + | 3.72559e8i | −0.144999 | + | 0.541145i | 0.854756 | + | 0.519030i | \(0.173707\pi\) |
−0.999755 | + | 0.0221148i | \(0.992960\pi\) | |||||||
\(884\) | −1.87904e8 | − | 3.25458e8i | −0.272006 | − | 0.471128i | ||||
\(885\) | 4.11623e7 | + | 7.12952e7i | 0.0593840 | + | 0.102856i | ||||
\(886\) | 2.45872e8 | + | 9.17608e8i | 0.353516 | + | 1.31934i | ||||
\(887\) | 2.16087e8i | 0.309640i | 0.987943 | + | 0.154820i | \(0.0494798\pi\) | ||||
−0.987943 | + | 0.154820i | \(0.950520\pi\) | |||||||
\(888\) | 3.77918e8 | − | 3.37915e8i | 0.539708 | − | 0.482579i | ||||
\(889\) | 5.74717e8 | 0.817991 | ||||||||
\(890\) | 1.89491e8 | − | 5.07739e7i | 0.268793 | − | 0.0720229i | ||||
\(891\) | −5.02174e8 | + | 2.89931e8i | −0.709940 | + | 0.409884i | ||||
\(892\) | −8.09752e7 | + | 4.67510e7i | −0.114093 | + | 0.0658714i | ||||
\(893\) | −3.93444e7 | − | 1.05423e7i | −0.0552496 | − | 0.0148041i | ||||
\(894\) | 1.42964e8 | − | 1.42964e8i | 0.200084 | − | 0.200084i | ||||
\(895\) | −1.80687e7 | − | 3.12958e7i | −0.0252033 | − | 0.0436533i | ||||
\(896\) | 4.88439e8 | − | 4.88439e8i | 0.679026 | − | 0.679026i | ||||
\(897\) | 6.84434e6 | − | 1.18547e7i | 0.00948318 | − | 0.0164254i | ||||
\(898\) | 1.12607e9 | 1.55502 | ||||||||
\(899\) | 8.31632e8i | 1.14460i | ||||||||
\(900\) | 4.77029e8 | − | 8.26239e8i | 0.654361 | − | 1.13339i | ||||
\(901\) | 1.00143e9 | + | 2.68334e8i | 1.36914 | + | 0.366860i | ||||
\(902\) | −7.63572e8 | − | 7.63572e8i | −1.04047 | − | 1.04047i | ||||
\(903\) | 3.08652e8 | − | 8.27030e7i | 0.419185 | − | 0.112320i | ||||
\(904\) | 1.29826e9 | − | 2.24865e9i | 1.75734 | − | 3.04380i | ||||
\(905\) | 1.45999e7 | + | 5.44875e7i | 0.0196971 | + | 0.0735107i | ||||
\(906\) | 1.52363e8 | − | 5.68626e8i | 0.204878 | − | 0.764613i | ||||
\(907\) | −1.30200e9 | − | 3.48870e8i | −1.74498 | − | 0.467565i | −0.761435 | − | 0.648242i | \(-0.775505\pi\) |
−0.983543 | + | 0.180676i | \(0.942171\pi\) | |||||||
\(908\) | −1.12468e9 | + | 3.01356e8i | −1.50235 | + | 0.402553i | ||||
\(909\) | 2.25137e8 | + | 1.29983e8i | 0.299747 | + | 0.173059i | ||||
\(910\) | 3.26337e7 | + | 1.21791e8i | 0.0433055 | + | 0.161618i | ||||
\(911\) | 8.73078e8 | − | 8.73078e8i | 1.15478 | − | 1.15478i | 0.169193 | − | 0.985583i | \(-0.445884\pi\) |
0.985583 | − | 0.169193i | \(-0.0541163\pi\) | |||||||
\(912\) | −1.12155e7 | + | 4.18569e7i | −0.0147855 | + | 0.0551802i | ||||
\(913\) | 1.46963e9 | + | 8.48491e8i | 1.93106 | + | 1.11490i | ||||
\(914\) | −1.80953e9 | −2.36988 | ||||||||
\(915\) | − | 2.22909e8i | − | 0.290981i | ||||||
\(916\) | −8.48833e8 | − | 4.90074e8i | −1.10442 | − | 0.637639i | ||||
\(917\) | −9.15902e8 | − | 9.15902e8i | −1.18779 | − | 1.18779i | ||||
\(918\) | −1.18981e9 | + | 6.86938e8i | −1.53798 | + | 0.887952i | ||||
\(919\) | −6.01029e8 | − | 6.01029e8i | −0.774371 | − | 0.774371i | 0.204496 | − | 0.978867i | \(-0.434444\pi\) |
−0.978867 | + | 0.204496i | \(0.934444\pi\) | |||||||
\(920\) | 1.12360e8 | − | 4.19332e8i | 0.144294 | − | 0.538511i | ||||
\(921\) | 1.23827e7 | + | 2.14474e7i | 0.0158502 | + | 0.0274534i | ||||
\(922\) | 8.11819e8 | + | 1.40611e9i | 1.03578 | + | 1.79402i | ||||
\(923\) | 2.49136e7 | + | 9.29789e7i | 0.0316834 | + | 0.118244i | ||||
\(924\) | − | 6.88648e8i | − | 0.872934i | ||||||
\(925\) | 2.29136e8 | + | 4.53584e8i | 0.289513 | + | 0.573103i | ||||
\(926\) | −1.18378e9 | −1.49086 | ||||||||
\(927\) | 8.39804e8 | − | 2.25025e8i | 1.05424 | − | 0.282482i | ||||
\(928\) | 1.03108e9 | − | 5.95297e8i | 1.29018 | − | 0.744886i | ||||
\(929\) | 2.63258e8 | − | 1.51992e8i | 0.328348 | − | 0.189572i | −0.326760 | − | 0.945108i | \(-0.605957\pi\) |
0.655107 | + | 0.755536i | \(0.272623\pi\) | |||||||
\(930\) | −2.21971e8 | − | 5.94770e7i | −0.275961 | − | 0.0739435i | ||||
\(931\) | 6.00029e6 | − | 6.00029e6i | 0.00743572 | − | 0.00743572i | ||||
\(932\) | 1.32531e9 | + | 2.29550e9i | 1.63708 | + | 2.83550i | ||||
\(933\) | 5.35892e7 | − | 5.35892e7i | 0.0659830 | − | 0.0659830i | ||||
\(934\) | 2.35524e8 | − | 4.07939e8i | 0.289064 | − | 0.500674i | ||||
\(935\) | 9.23428e8 | 1.12971 | ||||||||
\(936\) | − | 2.47967e8i | − | 0.302389i | ||||||
\(937\) | −4.67139e8 | + | 8.09108e8i | −0.567841 | + | 0.983530i | 0.428938 | + | 0.903334i | \(0.358888\pi\) |
−0.996779 | + | 0.0801959i | \(0.974445\pi\) | |||||||
\(938\) | −1.59340e9 | − | 4.26950e8i | −1.93071 | − | 0.517331i | ||||
\(939\) | 3.54048e7 | + | 3.54048e7i | 0.0427627 | + | 0.0427627i | ||||
\(940\) | −6.43419e8 | + | 1.72404e8i | −0.774658 | + | 0.207569i | ||||
\(941\) | −2.89979e8 | + | 5.02258e8i | −0.348015 | + | 0.602779i | −0.985897 | − | 0.167355i | \(-0.946477\pi\) |
0.637882 | + | 0.770134i | \(0.279811\pi\) | |||||||
\(942\) | −8.16227e7 | − | 3.04620e8i | −0.0976469 | − | 0.364423i | ||||
\(943\) | −6.23182e7 | + | 2.32575e8i | −0.0743156 | + | 0.277350i | ||||
\(944\) | −9.50937e8 | − | 2.54803e8i | −1.13041 | − | 0.302892i | ||||
\(945\) | 3.08890e8 | − | 8.27668e7i | 0.366023 | − | 0.0980755i | ||||
\(946\) | 1.99308e9 | + | 1.15071e9i | 2.35424 | + | 1.35922i | ||||
\(947\) | 2.31086e8 | + | 8.62426e8i | 0.272097 | + | 1.01548i | 0.957762 | + | 0.287563i | \(0.0928452\pi\) |
−0.685664 | + | 0.727918i | \(0.740488\pi\) | |||||||
\(948\) | −1.26210e8 | + | 1.26210e8i | −0.148138 | + | 0.148138i | ||||
\(949\) | 5.56036e7 | − | 2.07515e8i | 0.0650585 | − | 0.242802i | ||||
\(950\) | −8.32737e7 | − | 4.80781e7i | −0.0971263 | − | 0.0560759i | ||||
\(951\) | 3.35531e8 | 0.390113 | ||||||||
\(952\) | 3.39412e9i | 3.93383i | ||||||||
\(953\) | −8.72190e8 | − | 5.03559e8i | −1.00770 | − | 0.581797i | −0.0971842 | − | 0.995266i | \(-0.530984\pi\) |
−0.910518 | + | 0.413469i | \(0.864317\pi\) | |||||||
\(954\) | 8.65992e8 | + | 8.65992e8i | 0.997399 | + | 0.997399i | ||||
\(955\) | −3.20569e7 | + | 1.85081e7i | −0.0368054 | + | 0.0212496i | ||||
\(956\) | −2.07194e9 | − | 2.07194e9i | −2.37139 | − | 2.37139i | ||||
\(957\) | −1.13844e8 | + | 4.24870e8i | −0.129889 | + | 0.484753i | ||||
\(958\) | 7.57276e7 | + | 1.31164e8i | 0.0861307 | + | 0.149183i | ||||
\(959\) | 6.75133e8 | + | 1.16937e9i | 0.765480 | + | 1.32585i | ||||
\(960\) | 4.18552e6 | + | 1.56206e7i | 0.00473081 | + | 0.0176556i | ||||
\(961\) | − | 2.69265e8i | − | 0.303396i | ||||||
\(962\) | 1.97862e8 | + | 1.29471e8i | 0.222248 | + | 0.145427i | ||||
\(963\) | 3.89626e8 | 0.436283 | ||||||||
\(964\) | −1.02540e9 | + | 2.74755e8i | −1.14462 | + | 0.306701i | ||||
\(965\) | 3.80967e7 | − | 2.19952e7i | 0.0423941 | − | 0.0244763i | ||||
\(966\) | −1.91679e8 | + | 1.10666e8i | −0.212639 | + | 0.122767i | ||||
\(967\) | −2.57780e8 | − | 6.90720e7i | −0.285082 | − | 0.0763876i | 0.113444 | − | 0.993544i | \(-0.463812\pi\) |
−0.398527 | + | 0.917157i | \(0.630478\pi\) | |||||||
\(968\) | 4.92435e8 | − | 4.92435e8i | 0.542904 | − | 0.542904i | ||||
\(969\) | 2.27484e7 | + | 3.94014e7i | 0.0250023 | + | 0.0433052i | ||||
\(970\) | 1.19242e9 | − | 1.19242e9i | 1.30651 | − | 1.30651i | ||||
\(971\) | −8.60953e7 | + | 1.49122e8i | −0.0940420 | + | 0.162886i | −0.909208 | − | 0.416341i | \(-0.863312\pi\) |
0.815166 | + | 0.579227i | \(0.196645\pi\) | |||||||
\(972\) | −1.71858e9 | −1.87141 | ||||||||
\(973\) | 5.93848e8i | 0.644669i | ||||||||
\(974\) | −1.12699e8 | + | 1.95200e8i | −0.121967 | + | 0.211253i | ||||
\(975\) | −2.67521e7 | − | 7.16820e6i | −0.0288632 | − | 0.00773386i | ||||
\(976\) | 1.88491e9 | + | 1.88491e9i | 2.02741 | + | 2.02741i | ||||
\(977\) | 1.16117e9 | − | 3.11134e8i | 1.24512 | − | 0.333629i | 0.424670 | − | 0.905348i | \(-0.360390\pi\) |
0.820449 | + | 0.571719i | \(0.193723\pi\) | |||||||
\(978\) | −1.65948e8 | + | 2.87430e8i | −0.177401 | + | 0.307267i | ||||
\(979\) | −7.22479e7 | − | 2.69633e8i | −0.0769976 | − | 0.287359i | ||||
\(980\) | 3.59165e7 | − | 1.34042e8i | 0.0381607 | − | 0.142418i | ||||
\(981\) | −1.10460e9 | − | 2.95978e8i | −1.17004 | − | 0.313510i | ||||
\(982\) | 1.35630e9 | − | 3.63420e8i | 1.43226 | − | 0.383773i | ||||
\(983\) | 3.21579e8 | + | 1.85664e8i | 0.338553 | + | 0.195464i | 0.659632 | − | 0.751589i | \(-0.270712\pi\) |
−0.321079 | + | 0.947052i | \(0.604045\pi\) | |||||||
\(984\) | −1.25785e8 | − | 4.69435e8i | −0.132021 | − | 0.492709i | ||||
\(985\) | −4.79413e8 | + | 4.79413e8i | −0.501651 | + | 0.501651i | ||||
\(986\) | 1.00452e9 | − | 3.74892e9i | 1.04792 | − | 3.91089i | ||||
\(987\) | 1.64282e8 | + | 9.48482e7i | 0.170859 | + | 0.0986456i | ||||
\(988\) | −3.10402e7 | −0.0321850 | ||||||||
\(989\) | − | 5.13154e8i | − | 0.530468i | ||||||
\(990\) | 9.44678e8 | + | 5.45410e8i | 0.973595 | + | 0.562105i | ||||
\(991\) | −3.20818e8 | − | 3.20818e8i | −0.329639 | − | 0.329639i | 0.522810 | − | 0.852449i | \(-0.324884\pi\) |
−0.852449 | + | 0.522810i | \(0.824884\pi\) | |||||||
\(992\) | 7.66513e8 | − | 4.42547e8i | 0.785208 | − | 0.453340i | ||||
\(993\) | 2.27009e8 | + | 2.27009e8i | 0.231844 | + | 0.231844i | ||||
\(994\) | 4.02828e8 | − | 1.50338e9i | 0.410167 | − | 1.53076i | ||||
\(995\) | −1.70019e8 | − | 2.94481e8i | −0.172595 | − | 0.298943i | ||||
\(996\) | 6.83653e8 | + | 1.18412e9i | 0.691922 | + | 1.19844i | ||||
\(997\) | 3.91565e8 | + | 1.46134e9i | 0.395110 | + | 1.47457i | 0.821592 | + | 0.570076i | \(0.193086\pi\) |
−0.426482 | + | 0.904496i | \(0.640247\pi\) | |||||||
\(998\) | 1.42568e9i | 1.43426i | ||||||||
\(999\) | 3.28368e8 | − | 5.01825e8i | 0.329355 | − | 0.503334i |
(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 | 37.7.g.a.14.1 | yes | 72 | |
37.8 | odd | 12 | inner | 37.7.g.a.8.1 | ✓ | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.7.g.a.8.1 | ✓ | 72 | 37.8 | odd | 12 | inner | |
37.7.g.a.14.1 | yes | 72 | 1.1 | even | 1 | trivial |