Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [20,8,Mod(3,20)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(20, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("20.3");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 20 = 2^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 20.e (of order \(4\), 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: | \(6.24770050968\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 7.1 | ||
Character | \(\chi\) | \(=\) | 20.7 |
Dual form | 20.8.e.b.3.1 |
$q$-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 \(\left(\mathbb{Z}/20\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(17\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −11.3062 | − | 0.411421i | −0.999339 | − | 0.0363648i | ||||
\(3\) | −2.83352 | − | 2.83352i | −0.0605901 | − | 0.0605901i | 0.676162 | − | 0.736753i | \(-0.263642\pi\) |
−0.736753 | + | 0.676162i | \(0.763642\pi\) | |||||||
\(4\) | 127.661 | + | 9.30323i | 0.997355 | + | 0.0726815i | ||||
\(5\) | −150.277 | + | 235.673i | −0.537648 | + | 0.843169i | ||||
\(6\) | 30.8707 | + | 33.2022i | 0.0583467 | + | 0.0627534i | ||||
\(7\) | 411.746 | − | 411.746i | 0.453719 | − | 0.453719i | −0.442868 | − | 0.896587i | \(-0.646039\pi\) |
0.896587 | + | 0.442868i | \(0.146039\pi\) | |||||||
\(8\) | −1439.54 | − | 157.707i | −0.994052 | − | 0.108902i | ||||
\(9\) | − | 2170.94i | − | 0.992658i | ||||||
\(10\) | 1796.03 | − | 2602.74i | 0.567954 | − | 0.823060i | ||||
\(11\) | − | 7801.51i | − | 1.76728i | −0.468171 | − | 0.883638i | \(-0.655087\pi\) | ||
0.468171 | − | 0.883638i | \(-0.344913\pi\) | |||||||
\(12\) | −335.370 | − | 388.092i | −0.0560261 | − | 0.0648337i | ||||
\(13\) | −2238.68 | + | 2238.68i | −0.282612 | + | 0.282612i | −0.834150 | − | 0.551538i | \(-0.814041\pi\) |
0.551538 | + | 0.834150i | \(0.314041\pi\) | |||||||
\(14\) | −4824.70 | + | 4485.90i | −0.469918 | + | 0.436919i | ||||
\(15\) | 1093.60 | − | 241.971i | 0.0836639 | − | 0.0185116i | ||||
\(16\) | 16210.9 | + | 2375.33i | 0.989435 | + | 0.144979i | ||||
\(17\) | −18584.8 | − | 18584.8i | −0.917457 | − | 0.917457i | 0.0793869 | − | 0.996844i | \(-0.474704\pi\) |
−0.996844 | + | 0.0793869i | \(0.974704\pi\) | |||||||
\(18\) | −893.171 | + | 24545.2i | −0.0360978 | + | 0.992001i | ||||
\(19\) | 34833.9 | 1.16510 | 0.582552 | − | 0.812793i | \(-0.302054\pi\) | ||||
0.582552 | + | 0.812793i | \(0.302054\pi\) | |||||||
\(20\) | −21377.1 | + | 28688.3i | −0.597509 | + | 0.801862i | ||||
\(21\) | −2333.38 | −0.0549818 | ||||||||
\(22\) | −3209.70 | + | 88205.6i | −0.0642666 | + | 1.76611i | ||||
\(23\) | 7263.46 | + | 7263.46i | 0.124479 | + | 0.124479i | 0.766602 | − | 0.642123i | \(-0.221946\pi\) |
−0.642123 | + | 0.766602i | \(0.721946\pi\) | |||||||
\(24\) | 3632.11 | + | 4525.84i | 0.0536314 | + | 0.0668282i | ||||
\(25\) | −32958.5 | − | 70832.6i | −0.421869 | − | 0.906657i | ||||
\(26\) | 26232.1 | − | 24390.0i | 0.292702 | − | 0.272148i | ||||
\(27\) | −12348.3 | + | 12348.3i | −0.120735 | + | 0.120735i | ||||
\(28\) | 56394.7 | − | 48733.6i | 0.485496 | − | 0.419542i | ||||
\(29\) | 35580.6i | 0.270907i | 0.990784 | + | 0.135453i | \(0.0432491\pi\) | ||||
−0.990784 | + | 0.135453i | \(0.956751\pi\) | |||||||
\(30\) | −12464.0 | + | 2285.85i | −0.0842818 | + | 0.0154569i | ||||
\(31\) | − | 201719.i | − | 1.21613i | −0.793886 | − | 0.608067i | \(-0.791945\pi\) | ||
0.793886 | − | 0.608067i | \(-0.208055\pi\) | |||||||
\(32\) | −182307. | − | 33525.5i | −0.983508 | − | 0.180863i | ||||
\(33\) | −22105.7 | + | 22105.7i | −0.107079 | + | 0.107079i | ||||
\(34\) | 202477. | + | 217770.i | 0.883487 | + | 0.950213i | ||||
\(35\) | 35161.4 | + | 158914.i | 0.138621 | + | 0.626503i | ||||
\(36\) | 20196.8 | − | 277146.i | 0.0721478 | − | 0.990032i | ||||
\(37\) | 80900.2 | + | 80900.2i | 0.262569 | + | 0.262569i | 0.826097 | − | 0.563528i | \(-0.190556\pi\) |
−0.563528 | + | 0.826097i | \(0.690556\pi\) | |||||||
\(38\) | −393840. | − | 14331.4i | −1.16433 | − | 0.0423688i | ||||
\(39\) | 12686.7 | 0.0342470 | ||||||||
\(40\) | 253498. | − | 315561.i | 0.626273 | − | 0.779604i | ||||
\(41\) | 52398.8 | 0.118735 | 0.0593673 | − | 0.998236i | \(-0.481092\pi\) | ||||
0.0593673 | + | 0.998236i | \(0.481092\pi\) | |||||||
\(42\) | 26381.8 | + | 960.003i | 0.0549454 | + | 0.00199940i | ||||
\(43\) | −250428. | − | 250428.i | −0.480334 | − | 0.480334i | 0.424904 | − | 0.905238i | \(-0.360308\pi\) |
−0.905238 | + | 0.424904i | \(0.860308\pi\) | |||||||
\(44\) | 72579.3 | − | 995952.i | 0.128448 | − | 1.76260i | ||||
\(45\) | 511632. | + | 326243.i | 0.836978 | + | 0.533701i | ||||
\(46\) | −79134.0 | − | 85110.7i | −0.119870 | − | 0.128923i | ||||
\(47\) | −890845. | + | 890845.i | −1.25158 | + | 1.25158i | −0.296572 | + | 0.955010i | \(0.595844\pi\) |
−0.955010 | + | 0.296572i | \(0.904156\pi\) | |||||||
\(48\) | −39203.4 | − | 52664.5i | −0.0511657 | − | 0.0687343i | ||||
\(49\) | 484473.i | 0.588279i | ||||||||
\(50\) | 343494. | + | 814409.i | 0.388619 | + | 0.921398i | ||||
\(51\) | 105321.i | 0.111178i | ||||||||
\(52\) | −306620. | + | 264966.i | −0.302405 | + | 0.261324i | ||||
\(53\) | 354485. | − | 354485.i | 0.327064 | − | 0.327064i | −0.524405 | − | 0.851469i | \(-0.675712\pi\) |
0.851469 | + | 0.524405i | \(0.175712\pi\) | |||||||
\(54\) | 144693. | − | 134533.i | 0.125046 | − | 0.116265i | ||||
\(55\) | 1.83861e6 | + | 1.17239e6i | 1.49011 | + | 0.950173i | ||||
\(56\) | −657662. | + | 527791.i | −0.500431 | + | 0.401609i | ||||
\(57\) | −98702.6 | − | 98702.6i | −0.0705938 | − | 0.0705938i | ||||
\(58\) | 14638.6 | − | 402282.i | 0.00985148 | − | 0.270728i | ||||
\(59\) | −858580. | −0.544251 | −0.272125 | − | 0.962262i | \(-0.587727\pi\) | ||||
−0.272125 | + | 0.962262i | \(0.587727\pi\) | |||||||
\(60\) | 141861. | − | 20716.3i | 0.0847881 | − | 0.0123818i | ||||
\(61\) | −1.30963e6 | −0.738746 | −0.369373 | − | 0.929281i | \(-0.620428\pi\) | ||||
−0.369373 | + | 0.929281i | \(0.620428\pi\) | |||||||
\(62\) | −82991.4 | + | 2.28068e6i | −0.0442244 | + | 1.21533i | ||||
\(63\) | −893878. | − | 893878.i | −0.450387 | − | 0.450387i | ||||
\(64\) | 2.04741e6 | + | 454052.i | 0.976281 | + | 0.216509i | ||||
\(65\) | −191174. | − | 864020.i | −0.0863440 | − | 0.390236i | ||||
\(66\) | 259027. | − | 240838.i | 0.110903 | − | 0.103115i | ||||
\(67\) | 1.97721e6 | − | 1.97721e6i | 0.803140 | − | 0.803140i | −0.180445 | − | 0.983585i | \(-0.557754\pi\) |
0.983585 | + | 0.180445i | \(0.0577539\pi\) | |||||||
\(68\) | −2.19966e6 | − | 2.54546e6i | −0.848348 | − | 0.981713i | ||||
\(69\) | − | 41162.4i | − | 0.0150844i | ||||||
\(70\) | −332162. | − | 1.81118e6i | −0.115746 | − | 0.631129i | ||||
\(71\) | − | 4.95750e6i | − | 1.64384i | −0.569605 | − | 0.821919i | \(-0.692904\pi\) | ||
0.569605 | − | 0.821919i | \(-0.307096\pi\) | |||||||
\(72\) | −342373. | + | 3.12516e6i | −0.108102 | + | 0.986754i | ||||
\(73\) | 638724. | − | 638724.i | 0.192169 | − | 0.192169i | −0.604464 | − | 0.796633i | \(-0.706613\pi\) |
0.796633 | + | 0.604464i | \(0.206613\pi\) | |||||||
\(74\) | −881392. | − | 947960.i | −0.252847 | − | 0.271944i | ||||
\(75\) | −107317. | + | 294094.i | −0.0293734 | + | 0.0804956i | ||||
\(76\) | 4.44695e6 | + | 324068.i | 1.16202 | + | 0.0846815i | ||||
\(77\) | −3.21224e6 | − | 3.21224e6i | −0.801846 | − | 0.801846i | ||||
\(78\) | −143439. | − | 5219.57i | −0.0342244 | − | 0.00124539i | ||||
\(79\) | 503348. | 0.114861 | 0.0574306 | − | 0.998349i | \(-0.481709\pi\) | ||||
0.0574306 | + | 0.998349i | \(0.481709\pi\) | |||||||
\(80\) | −2.99593e6 | + | 3.46351e6i | −0.654209 | + | 0.756314i | ||||
\(81\) | −4.67787e6 | −0.978027 | ||||||||
\(82\) | −592432. | − | 21557.9i | −0.118656 | − | 0.00431776i | ||||
\(83\) | 4.22137e6 | + | 4.22137e6i | 0.810363 | + | 0.810363i | 0.984688 | − | 0.174325i | \(-0.0557744\pi\) |
−0.174325 | + | 0.984688i | \(0.555774\pi\) | |||||||
\(84\) | −297883. | − | 21708.0i | −0.0548364 | − | 0.00399616i | ||||
\(85\) | 7.17279e6 | − | 1.58706e6i | 1.26684 | − | 0.280302i | ||||
\(86\) | 2.72837e6 | + | 2.93443e6i | 0.462549 | + | 0.497484i | ||||
\(87\) | 100818. | − | 100818.i | 0.0164143 | − | 0.0164143i | ||||
\(88\) | −1.23035e6 | + | 1.12306e7i | −0.192460 | + | 1.75676i | ||||
\(89\) | 8.63243e6i | 1.29798i | 0.760797 | + | 0.648990i | \(0.224808\pi\) | ||||
−0.760797 | + | 0.648990i | \(0.775192\pi\) | |||||||
\(90\) | −5.65041e6 | − | 3.89908e6i | −0.817017 | − | 0.563784i | ||||
\(91\) | 1.84354e6i | 0.256453i | ||||||||
\(92\) | 859691. | + | 994838.i | 0.115103 | + | 0.133197i | ||||
\(93\) | −571575. | + | 571575.i | −0.0736857 | + | 0.0736857i | ||||
\(94\) | 1.04386e7 | − | 9.70558e6i | 1.29627 | − | 1.20524i | ||||
\(95\) | −5.23475e6 | + | 8.20941e6i | −0.626416 | + | 0.982380i | ||||
\(96\) | 421575. | + | 611565.i | 0.0486324 | + | 0.0705494i | ||||
\(97\) | −3.20292e6 | − | 3.20292e6i | −0.356324 | − | 0.356324i | 0.506132 | − | 0.862456i | \(-0.331075\pi\) |
−0.862456 | + | 0.506132i | \(0.831075\pi\) | |||||||
\(98\) | 199322. | − | 5.47756e6i | 0.0213926 | − | 0.587889i | ||||
\(99\) | −1.69366e7 | −1.75430 | ||||||||
\(100\) | −3.54856e6 | − | 9.34921e6i | −0.354856 | − | 0.934921i | ||||
\(101\) | 1.36177e7 | 1.31516 | 0.657579 | − | 0.753386i | \(-0.271581\pi\) | ||||
0.657579 | + | 0.753386i | \(0.271581\pi\) | |||||||
\(102\) | 43331.1 | − | 1.19078e6i | 0.00404295 | − | 0.111104i | ||||
\(103\) | 5.48497e6 | + | 5.48497e6i | 0.494588 | + | 0.494588i | 0.909748 | − | 0.415160i | \(-0.136274\pi\) |
−0.415160 | + | 0.909748i | \(0.636274\pi\) | |||||||
\(104\) | 3.57573e6 | − | 2.86962e6i | 0.311708 | − | 0.250154i | ||||
\(105\) | 350655. | − | 549916.i | 0.0295608 | − | 0.0463589i | ||||
\(106\) | −4.15373e6 | + | 3.86205e6i | −0.338741 | + | 0.314954i | ||||
\(107\) | 1.06402e7 | − | 1.06402e7i | 0.839668 | − | 0.839668i | −0.149147 | − | 0.988815i | \(-0.547653\pi\) |
0.988815 | + | 0.149147i | \(0.0476528\pi\) | |||||||
\(108\) | −1.69128e6 | + | 1.46153e6i | −0.129191 | + | 0.111641i | ||||
\(109\) | 1.60681e7i | 1.18843i | 0.804308 | + | 0.594213i | \(0.202536\pi\) | ||||
−0.804308 | + | 0.594213i | \(0.797464\pi\) | |||||||
\(110\) | −2.03053e7 | − | 1.40117e7i | −1.45457 | − | 1.00373i | ||||
\(111\) | − | 458465.i | − | 0.0318182i | ||||||
\(112\) | 7.65281e6 | − | 5.69675e6i | 0.514705 | − | 0.383146i | ||||
\(113\) | 8.05564e6 | − | 8.05564e6i | 0.525201 | − | 0.525201i | −0.393937 | − | 0.919137i | \(-0.628887\pi\) |
0.919137 | + | 0.393937i | \(0.128887\pi\) | |||||||
\(114\) | 1.07535e6 | + | 1.15656e6i | 0.0679800 | + | 0.0731143i | ||||
\(115\) | −2.80334e6 | + | 620269.i | −0.171883 | + | 0.0380310i | ||||
\(116\) | −331014. | + | 4.54227e6i | −0.0196899 | + | 0.270190i | ||||
\(117\) | 4.86005e6 | + | 4.86005e6i | 0.280537 | + | 0.280537i | ||||
\(118\) | 9.70730e6 | + | 353238.i | 0.543891 | + | 0.0197916i | ||||
\(119\) | −1.53044e7 | −0.832535 | ||||||||
\(120\) | −1.61244e6 | + | 175859.i | −0.0851823 | + | 0.00929030i | ||||
\(121\) | −4.13764e7 | −2.12326 | ||||||||
\(122\) | 1.48070e7 | + | 538810.i | 0.738258 | + | 0.0268644i | ||||
\(123\) | −148473. | − | 148473.i | −0.00719415 | − | 0.00719415i | ||||
\(124\) | 1.87664e6 | − | 2.57518e7i | 0.0883904 | − | 1.21292i | ||||
\(125\) | 2.16462e7 | + | 2.87709e6i | 0.991282 | + | 0.131756i | ||||
\(126\) | 9.73862e6 | + | 1.04741e7i | 0.433711 | + | 0.466468i | ||||
\(127\) | 2.13662e7 | − | 2.13662e7i | 0.925579 | − | 0.925579i | −0.0718370 | − | 0.997416i | \(-0.522886\pi\) |
0.997416 | + | 0.0718370i | \(0.0228862\pi\) | |||||||
\(128\) | −2.29617e7 | − | 5.97596e6i | −0.967762 | − | 0.251868i | ||||
\(129\) | 1.41919e6i | 0.0582071i | ||||||||
\(130\) | 1.80598e6 | + | 9.84746e6i | 0.0720960 | + | 0.393117i | ||||
\(131\) | 1.30799e7i | 0.508340i | 0.967160 | + | 0.254170i | \(0.0818023\pi\) | ||||
−0.967160 | + | 0.254170i | \(0.918198\pi\) | |||||||
\(132\) | −3.02771e6 | + | 2.61640e6i | −0.114579 | + | 0.0990136i | ||||
\(133\) | 1.43427e7 | − | 1.43427e7i | 0.528630 | − | 0.528630i | ||||
\(134\) | −2.31683e7 | + | 2.15413e7i | −0.831815 | + | 0.773402i | ||||
\(135\) | −1.05449e6 | − | 4.76584e6i | −0.0368872 | − | 0.166714i | ||||
\(136\) | 2.38226e7 | + | 2.96845e7i | 0.812087 | + | 1.01191i | ||||
\(137\) | −3.05794e7 | − | 3.05794e7i | −1.01603 | − | 1.01603i | −0.999869 | − | 0.0161626i | \(-0.994855\pi\) |
−0.0161626 | − | 0.999869i | \(-0.505145\pi\) | |||||||
\(138\) | −16935.0 | + | 465391.i | −0.000548542 | + | 0.0150744i | ||||
\(139\) | −394230. | −0.0124508 | −0.00622541 | − | 0.999981i | \(-0.501982\pi\) | ||||
−0.00622541 | + | 0.999981i | \(0.501982\pi\) | |||||||
\(140\) | 3.01035e6 | + | 2.06143e7i | 0.0927189 | + | 0.634921i | ||||
\(141\) | 5.04845e6 | 0.151667 | ||||||||
\(142\) | −2.03962e6 | + | 5.60507e7i | −0.0597778 | + | 1.64275i | ||||
\(143\) | 1.74651e7 | + | 1.74651e7i | 0.499454 | + | 0.499454i | ||||
\(144\) | 5.15670e6 | − | 3.51929e7i | 0.143914 | − | 0.982170i | ||||
\(145\) | −8.38538e6 | − | 5.34695e6i | −0.228420 | − | 0.145653i | ||||
\(146\) | −7.48435e6 | + | 6.95878e6i | −0.199030 | + | 0.185054i | ||||
\(147\) | 1.37276e6 | − | 1.37276e6i | 0.0356439 | − | 0.0356439i | ||||
\(148\) | 9.57520e6 | + | 1.10805e7i | 0.242791 | + | 0.280958i | ||||
\(149\) | − | 2.76465e7i | − | 0.684681i | −0.939576 | − | 0.342341i | \(-0.888780\pi\) | ||
0.939576 | − | 0.342341i | \(-0.111220\pi\) | |||||||
\(150\) | 1.33435e6 | − | 3.28094e6i | 0.0322811 | − | 0.0793742i | ||||
\(151\) | − | 2.31256e7i | − | 0.546605i | −0.961928 | − | 0.273302i | \(-0.911884\pi\) | ||
0.961928 | − | 0.273302i | \(-0.0881160\pi\) | |||||||
\(152\) | −5.01449e7 | − | 5.49355e6i | −1.15817 | − | 0.126882i | ||||
\(153\) | −4.03464e7 | + | 4.03464e7i | −0.910721 | + | 0.910721i | ||||
\(154\) | 3.49968e7 | + | 3.76399e7i | 0.772157 | + | 0.830475i | ||||
\(155\) | 4.75397e7 | + | 3.03138e7i | 1.02541 | + | 0.653852i | ||||
\(156\) | 1.61960e6 | + | 118027.i | 0.0341564 | + | 0.00248912i | ||||
\(157\) | 1.48337e7 | + | 1.48337e7i | 0.305915 | + | 0.305915i | 0.843323 | − | 0.537407i | \(-0.180596\pi\) |
−0.537407 | + | 0.843323i | \(0.680596\pi\) | |||||||
\(158\) | −5.69097e6 | − | 207088.i | −0.114785 | − | 0.00417691i | ||||
\(159\) | −2.00888e6 | −0.0396337 | ||||||||
\(160\) | 3.52976e7 | − | 3.79267e7i | 0.681280 | − | 0.732023i | ||||
\(161\) | 5.98141e6 | 0.112957 | ||||||||
\(162\) | 5.28891e7 | + | 1.92457e6i | 0.977380 | + | 0.0355657i | ||||
\(163\) | −4.56028e7 | − | 4.56028e7i | −0.824774 | − | 0.824774i | 0.162014 | − | 0.986788i | \(-0.448201\pi\) |
−0.986788 | + | 0.162014i | \(0.948201\pi\) | |||||||
\(164\) | 6.68930e6 | + | 487478.i | 0.118421 | + | 0.00862981i | ||||
\(165\) | −1.88774e6 | − | 8.53172e6i | −0.0327150 | − | 0.147857i | ||||
\(166\) | −4.59910e7 | − | 4.94645e7i | −0.780358 | − | 0.839296i | ||||
\(167\) | −3.29811e7 | + | 3.29811e7i | −0.547972 | + | 0.547972i | −0.925854 | − | 0.377882i | \(-0.876652\pi\) |
0.377882 | + | 0.925854i | \(0.376652\pi\) | |||||||
\(168\) | 3.35900e6 | + | 367991.i | 0.0546548 | + | 0.00598763i | ||||
\(169\) | 5.27251e7i | 0.840261i | ||||||||
\(170\) | −8.17501e7 | + | 1.49926e7i | −1.27620 | + | 0.234049i | ||||
\(171\) | − | 7.56224e7i | − | 1.15655i | ||||||
\(172\) | −2.96402e7 | − | 3.42998e7i | −0.444153 | − | 0.513975i | ||||
\(173\) | 5.87038e7 | − | 5.87038e7i | 0.861996 | − | 0.861996i | −0.129574 | − | 0.991570i | \(-0.541361\pi\) |
0.991570 | + | 0.129574i | \(0.0413609\pi\) | |||||||
\(174\) | −1.18135e6 | + | 1.09840e6i | −0.0170003 | + | 0.0158065i | ||||
\(175\) | −4.27356e7 | − | 1.55945e7i | −0.602777 | − | 0.219957i | ||||
\(176\) | 1.85311e7 | − | 1.26470e8i | 0.256217 | − | 1.74860i | ||||
\(177\) | 2.43281e6 | + | 2.43281e6i | 0.0329762 | + | 0.0329762i | ||||
\(178\) | 3.55156e6 | − | 9.76002e7i | 0.0472008 | − | 1.29712i | ||||
\(179\) | 8.56864e7 | 1.11667 | 0.558337 | − | 0.829614i | \(-0.311440\pi\) | ||||
0.558337 | + | 0.829614i | \(0.311440\pi\) | |||||||
\(180\) | 6.22806e7 | + | 4.64085e7i | 0.795975 | + | 0.593122i | ||||
\(181\) | 7.60781e7 | 0.953641 | 0.476820 | − | 0.879001i | \(-0.341789\pi\) | ||||
0.476820 | + | 0.879001i | \(0.341789\pi\) | |||||||
\(182\) | 758470. | − | 2.08435e7i | 0.00932585 | − | 0.256283i | ||||
\(183\) | 3.71087e6 | + | 3.71087e6i | 0.0447607 | + | 0.0447607i | ||||
\(184\) | −9.31056e6 | − | 1.16016e7i | −0.110183 | − | 0.137295i | ||||
\(185\) | −3.12234e7 | + | 6.90853e6i | −0.362560 | + | 0.0802204i | ||||
\(186\) | 6.69752e6 | − | 6.22720e6i | 0.0763165 | − | 0.0709574i | ||||
\(187\) | −1.44989e8 | + | 1.44989e8i | −1.62140 | + | 1.62140i | ||||
\(188\) | −1.22014e8 | + | 1.05439e8i | −1.33924 | + | 1.15731i | ||||
\(189\) | 1.01688e7i | 0.109560i | ||||||||
\(190\) | 6.25627e7 | − | 9.06638e7i | 0.661726 | − | 0.958951i | ||||
\(191\) | 7.27447e7i | 0.755413i | 0.925925 | + | 0.377707i | \(0.123287\pi\) | ||||
−0.925925 | + | 0.377707i | \(0.876713\pi\) | |||||||
\(192\) | −4.51481e6 | − | 7.08794e6i | −0.0460347 | − | 0.0722713i | ||||
\(193\) | −9.24429e7 | + | 9.24429e7i | −0.925599 | + | 0.925599i | −0.997418 | − | 0.0718188i | \(-0.977120\pi\) |
0.0718188 | + | 0.997418i | \(0.477120\pi\) | |||||||
\(194\) | 3.48952e7 | + | 3.75307e7i | 0.343131 | + | 0.369046i | ||||
\(195\) | −1.90652e6 | + | 2.98991e6i | −0.0184128 | + | 0.0288760i | ||||
\(196\) | −4.50716e6 | + | 6.18485e7i | −0.0427570 | + | 0.586723i | ||||
\(197\) | 1.26447e8 | + | 1.26447e8i | 1.17836 | + | 1.17836i | 0.980163 | + | 0.198195i | \(0.0635080\pi\) |
0.198195 | + | 0.980163i | \(0.436492\pi\) | |||||||
\(198\) | 1.91489e8 | + | 6.96808e6i | 1.75314 | + | 0.0637948i | ||||
\(199\) | 4.23032e7 | 0.380529 | 0.190264 | − | 0.981733i | \(-0.439066\pi\) | ||||
0.190264 | + | 0.981733i | \(0.439066\pi\) | |||||||
\(200\) | 3.62744e7 | + | 1.07164e8i | 0.320623 | + | 0.947207i | ||||
\(201\) | −1.12049e7 | −0.0973247 | ||||||||
\(202\) | −1.53964e8 | − | 5.60259e6i | −1.31429 | − | 0.0478254i | ||||
\(203\) | 1.46502e7 | + | 1.46502e7i | 0.122916 | + | 0.122916i | ||||
\(204\) | −979822. | + | 1.34454e7i | −0.00808056 | + | 0.110884i | ||||
\(205\) | −7.87434e6 | + | 1.23490e7i | −0.0638375 | + | 0.100113i | ||||
\(206\) | −5.97576e7 | − | 6.42709e7i | −0.476275 | − | 0.512247i | ||||
\(207\) | 1.57686e7 | − | 1.57686e7i | 0.123565 | − | 0.123565i | ||||
\(208\) | −4.16087e7 | + | 3.09735e7i | −0.320599 | + | 0.238654i | ||||
\(209\) | − | 2.71757e8i | − | 2.05906i | ||||||
\(210\) | −4.19083e6 | + | 6.07320e6i | −0.0312271 | + | 0.0452533i | ||||
\(211\) | 5.94925e7i | 0.435987i | 0.975950 | + | 0.217994i | \(0.0699512\pi\) | ||||
−0.975950 | + | 0.217994i | \(0.930049\pi\) | |||||||
\(212\) | 4.85520e7 | − | 4.19563e7i | 0.349970 | − | 0.302427i | ||||
\(213\) | −1.40472e7 | + | 1.40472e7i | −0.0996003 | + | 0.0996003i | ||||
\(214\) | −1.24678e8 | + | 1.15923e8i | −0.869647 | + | 0.808578i | ||||
\(215\) | 9.66528e7 | − | 2.13855e7i | 0.663254 | − | 0.146752i | ||||
\(216\) | 1.97233e7 | − | 1.58285e7i | 0.133166 | − | 0.106869i | ||||
\(217\) | −8.30571e7 | − | 8.30571e7i | −0.551782 | − | 0.551782i | ||||
\(218\) | 6.61075e6 | − | 1.81670e8i | 0.0432169 | − | 1.18764i | ||||
\(219\) | −3.61968e6 | −0.0232871 | ||||||||
\(220\) | 2.23812e8 | + | 1.66774e8i | 1.41711 | + | 1.05596i | ||||
\(221\) | 8.32107e7 | 0.518569 | ||||||||
\(222\) | −188622. | + | 5.18350e6i | −0.00115706 | + | 0.0317971i | ||||
\(223\) | −1.47527e8 | − | 1.47527e8i | −0.890850 | − | 0.890850i | 0.103753 | − | 0.994603i | \(-0.466915\pi\) |
−0.994603 | + | 0.103753i | \(0.966915\pi\) | |||||||
\(224\) | −8.88682e7 | + | 6.12602e7i | −0.528297 | + | 0.364175i | ||||
\(225\) | −1.53773e8 | + | 7.15510e7i | −0.900000 | + | 0.418771i | ||||
\(226\) | −9.43931e7 | + | 8.77646e7i | −0.543952 | + | 0.505754i | ||||
\(227\) | 1.65384e8 | − | 1.65384e8i | 0.938432 | − | 0.938432i | −0.0597791 | − | 0.998212i | \(-0.519040\pi\) |
0.998212 | + | 0.0597791i | \(0.0190396\pi\) | |||||||
\(228\) | −1.16823e7 | − | 1.35188e7i | −0.0652763 | − | 0.0755380i | ||||
\(229\) | − | 3.76350e7i | − | 0.207094i | −0.994625 | − | 0.103547i | \(-0.966981\pi\) | ||
0.994625 | − | 0.103547i | \(-0.0330192\pi\) | |||||||
\(230\) | 3.19503e7 | − | 5.85955e6i | 0.173152 | − | 0.0317553i | ||||
\(231\) | 1.82039e7i | 0.0971680i | ||||||||
\(232\) | 5.61131e6 | − | 5.12197e7i | 0.0295023 | − | 0.269296i | ||||
\(233\) | 2.27130e7 | − | 2.27130e7i | 0.117633 | − | 0.117633i | −0.645840 | − | 0.763473i | \(-0.723493\pi\) |
0.763473 | + | 0.645840i | \(0.223493\pi\) | |||||||
\(234\) | −5.29493e7 | − | 5.69484e7i | −0.270150 | − | 0.290553i | ||||
\(235\) | −7.60744e7 | − | 3.43822e8i | −0.382385 | − | 1.72821i | ||||
\(236\) | −1.09608e8 | − | 7.98757e6i | −0.542811 | − | 0.0395569i | ||||
\(237\) | −1.42625e6 | − | 1.42625e6i | −0.00695946 | − | 0.00695946i | ||||
\(238\) | 1.73035e8 | + | 6.29655e6i | 0.831984 | + | 0.0302750i | ||||
\(239\) | 1.99420e8 | 0.944880 | 0.472440 | − | 0.881363i | \(-0.343373\pi\) | ||||
0.472440 | + | 0.881363i | \(0.343373\pi\) | |||||||
\(240\) | 1.83030e7 | − | 1.32491e6i | 0.0854638 | − | 0.00618652i | ||||
\(241\) | −1.65531e8 | −0.761762 | −0.380881 | − | 0.924624i | \(-0.624379\pi\) | ||||
−0.380881 | + | 0.924624i | \(0.624379\pi\) | |||||||
\(242\) | 4.67811e8 | + | 1.70231e7i | 2.12186 | + | 0.0772121i | ||||
\(243\) | 4.02606e7 | + | 4.02606e7i | 0.179994 | + | 0.179994i | ||||
\(244\) | −1.67190e8 | − | 1.21838e7i | −0.736793 | − | 0.0536932i | ||||
\(245\) | −1.14177e8 | − | 7.28052e7i | −0.496018 | − | 0.316287i | ||||
\(246\) | 1.61758e6 | + | 1.73975e6i | 0.00692778 | + | 0.00745100i | ||||
\(247\) | −7.79821e7 | + | 7.79821e7i | −0.329273 | + | 0.329273i | ||||
\(248\) | −3.18125e7 | + | 2.90383e8i | −0.132439 | + | 1.20890i | ||||
\(249\) | − | 2.39227e7i | − | 0.0982000i | ||||||
\(250\) | −2.43554e8 | − | 4.14348e7i | −0.985835 | − | 0.167716i | ||||
\(251\) | 2.30813e8i | 0.921303i | 0.887581 | + | 0.460652i | \(0.152384\pi\) | ||||
−0.887581 | + | 0.460652i | \(0.847616\pi\) | |||||||
\(252\) | −1.05798e8 | − | 1.22430e8i | −0.416461 | − | 0.481931i | ||||
\(253\) | 5.66660e7 | − | 5.66660e7i | 0.219989 | − | 0.219989i | ||||
\(254\) | −2.50361e8 | + | 2.32780e8i | −0.958626 | + | 0.891309i | ||||
\(255\) | −2.48212e7 | − | 1.58273e7i | −0.0937416 | − | 0.0597745i | ||||
\(256\) | 2.57151e8 | + | 7.70124e7i | 0.957962 | + | 0.286894i | ||||
\(257\) | 1.46979e8 | + | 1.46979e8i | 0.540117 | + | 0.540117i | 0.923563 | − | 0.383446i | \(-0.125263\pi\) |
−0.383446 | + | 0.923563i | \(0.625263\pi\) | |||||||
\(258\) | 583883. | − | 1.60456e7i | 0.00211669 | − | 0.0581686i | ||||
\(259\) | 6.66207e7 | 0.238265 | ||||||||
\(260\) | −1.63674e7 | − | 1.12081e8i | −0.0577527 | − | 0.395479i | ||||
\(261\) | 7.72434e7 | 0.268918 | ||||||||
\(262\) | 5.38134e6 | − | 1.47884e8i | 0.0184857 | − | 0.508004i | ||||
\(263\) | 5.89163e7 | + | 5.89163e7i | 0.199706 | + | 0.199706i | 0.799874 | − | 0.600168i | \(-0.204900\pi\) |
−0.600168 | + | 0.799874i | \(0.704900\pi\) | |||||||
\(264\) | 3.53084e7 | − | 2.83359e7i | 0.118104 | − | 0.0947815i | ||||
\(265\) | 3.02715e7 | + | 1.36814e8i | 0.0999249 | + | 0.451616i | ||||
\(266\) | −1.68063e8 | + | 1.56261e8i | −0.547504 | + | 0.509057i | ||||
\(267\) | 2.44602e7 | − | 2.44602e7i | 0.0786448 | − | 0.0786448i | ||||
\(268\) | 2.70808e8 | − | 2.34019e8i | 0.859389 | − | 0.742642i | ||||
\(269\) | − | 8.61462e7i | − | 0.269838i | −0.990857 | − | 0.134919i | \(-0.956923\pi\) | ||
0.990857 | − | 0.134919i | \(-0.0430774\pi\) | |||||||
\(270\) | 9.96158e6 | + | 5.43175e7i | 0.0308003 | + | 0.167945i | ||||
\(271\) | 1.59798e8i | 0.487730i | 0.969809 | + | 0.243865i | \(0.0784154\pi\) | ||||
−0.969809 | + | 0.243865i | \(0.921585\pi\) | |||||||
\(272\) | −2.57131e8 | − | 3.45421e8i | −0.774752 | − | 1.04078i | ||||
\(273\) | 5.22371e6 | − | 5.22371e6i | 0.0155385 | − | 0.0155385i | ||||
\(274\) | 3.33157e8 | + | 3.58319e8i | 0.978412 | + | 1.05231i | ||||
\(275\) | −5.52601e8 | + | 2.57126e8i | −1.60231 | + | 0.745559i | ||||
\(276\) | 382943. | − | 5.25485e6i | 0.00109636 | − | 0.0150445i | ||||
\(277\) | 4.29400e7 | + | 4.29400e7i | 0.121390 | + | 0.121390i | 0.765192 | − | 0.643802i | \(-0.222644\pi\) |
−0.643802 | + | 0.765192i | \(0.722644\pi\) | |||||||
\(278\) | 4.45725e6 | + | 162194.i | 0.0124426 | + | 0.000452771i | ||||
\(279\) | −4.37921e8 | −1.20720 | ||||||||
\(280\) | −2.55545e7 | − | 2.34308e8i | −0.0695688 | − | 0.637873i | ||||
\(281\) | 5.50346e8 | 1.47966 | 0.739832 | − | 0.672791i | \(-0.234905\pi\) | ||||
0.739832 | + | 0.672791i | \(0.234905\pi\) | |||||||
\(282\) | −5.70790e7 | − | 2.07704e6i | −0.151567 | − | 0.00551535i | ||||
\(283\) | 3.43398e8 | + | 3.43398e8i | 0.900627 | + | 0.900627i | 0.995490 | − | 0.0948631i | \(-0.0302414\pi\) |
−0.0948631 | + | 0.995490i | \(0.530241\pi\) | |||||||
\(284\) | 4.61208e7 | − | 6.32882e8i | 0.119477 | − | 1.63949i | ||||
\(285\) | 3.80943e7 | − | 8.42879e6i | 0.0974772 | − | 0.0215679i | ||||
\(286\) | −1.90279e8 | − | 2.04650e8i | −0.480961 | − | 0.517286i | ||||
\(287\) | 2.15750e7 | − | 2.15750e7i | 0.0538721 | − | 0.0538721i | ||||
\(288\) | −7.27819e7 | + | 3.95778e8i | −0.179535 | + | 0.976287i | ||||
\(289\) | 2.80448e8i | 0.683455i | ||||||||
\(290\) | 9.26072e7 | + | 6.39038e7i | 0.222973 | + | 0.153863i | ||||
\(291\) | 1.81511e7i | 0.0431794i | ||||||||
\(292\) | 8.74827e7 | − | 7.55983e7i | 0.205628 | − | 0.177694i | ||||
\(293\) | −4.91649e8 | + | 4.91649e8i | −1.14187 | + | 1.14187i | −0.153768 | + | 0.988107i | \(0.549141\pi\) |
−0.988107 | + | 0.153768i | \(0.950859\pi\) | |||||||
\(294\) | −1.60856e7 | + | 1.49560e7i | −0.0369165 | + | 0.0343241i | ||||
\(295\) | 1.29025e8 | − | 2.02344e8i | 0.292615 | − | 0.458895i | ||||
\(296\) | −1.03701e8 | − | 1.29218e8i | −0.232413 | − | 0.289602i | ||||
\(297\) | 9.63356e7 | + | 9.63356e7i | 0.213373 | + | 0.213373i | ||||
\(298\) | −1.13743e7 | + | 3.12578e8i | −0.0248983 | + | 0.684228i | ||||
\(299\) | −3.25212e7 | −0.0703586 | ||||||||
\(300\) | −1.64363e7 | + | 3.65461e7i | −0.0351462 | + | 0.0781478i | ||||
\(301\) | −2.06226e8 | −0.435873 | ||||||||
\(302\) | −9.51435e6 | + | 2.61463e8i | −0.0198772 | + | 0.546243i | ||||
\(303\) | −3.85859e7 | − | 3.85859e7i | −0.0796856 | − | 0.0796856i | ||||
\(304\) | 5.64689e8 | + | 8.27420e7i | 1.15279 | + | 0.168915i | ||||
\(305\) | 1.96808e8 | − | 3.08645e8i | 0.397186 | − | 0.622888i | ||||
\(306\) | 4.72765e8 | − | 4.39567e8i | 0.943236 | − | 0.877000i | ||||
\(307\) | 2.19109e6 | − | 2.19109e6i | 0.00432192 | − | 0.00432192i | −0.704943 | − | 0.709264i | \(-0.749027\pi\) |
0.709264 | + | 0.704943i | \(0.249027\pi\) | |||||||
\(308\) | −3.80196e8 | − | 4.39964e8i | −0.741446 | − | 0.858005i | ||||
\(309\) | − | 3.10835e7i | − | 0.0599343i | ||||||
\(310\) | −5.25023e8 | − | 3.62293e8i | −1.00095 | − | 0.690708i | ||||
\(311\) | − | 4.25742e8i | − | 0.802573i | −0.915953 | − | 0.401287i | \(-0.868563\pi\) | ||
0.915953 | − | 0.401287i | \(-0.131437\pi\) | |||||||
\(312\) | −1.82630e7 | − | 2.00078e6i | −0.0340433 | − | 0.00372957i | ||||
\(313\) | 4.44768e8 | − | 4.44768e8i | 0.819839 | − | 0.819839i | −0.166246 | − | 0.986084i | \(-0.553164\pi\) |
0.986084 | + | 0.166246i | \(0.0531645\pi\) | |||||||
\(314\) | −1.61610e8 | − | 1.73816e8i | −0.294588 | − | 0.316838i | ||||
\(315\) | 3.44992e8 | − | 7.63334e7i | 0.621903 | − | 0.137603i | ||||
\(316\) | 6.42582e7 | + | 4.68276e6i | 0.114558 | + | 0.00834829i | ||||
\(317\) | −5.33839e8 | − | 5.33839e8i | −0.941245 | − | 0.941245i | 0.0571220 | − | 0.998367i | \(-0.481808\pi\) |
−0.998367 | + | 0.0571220i | \(0.981808\pi\) | |||||||
\(318\) | 2.27129e7 | + | 826496.i | 0.0396075 | + | 0.00144127i | ||||
\(319\) | 2.77582e8 | 0.478767 | ||||||||
\(320\) | −4.14687e8 | + | 4.14285e8i | −0.707449 | + | 0.706764i | ||||
\(321\) | −6.02986e7 | −0.101751 | ||||||||
\(322\) | −6.76272e7 | − | 2.46088e6i | −0.112882 | − | 0.00410766i | ||||
\(323\) | −6.47380e8 | − | 6.47380e8i | −1.06893 | − | 1.06893i | ||||
\(324\) | −5.97184e8 | − | 4.35193e7i | −0.975440 | − | 0.0710845i | ||||
\(325\) | 2.32355e8 | + | 8.47880e7i | 0.375457 | + | 0.137007i | ||||
\(326\) | 4.96834e8 | + | 5.34358e8i | 0.794236 | + | 0.854221i | ||||
\(327\) | 4.55293e7 | − | 4.55293e7i | 0.0720069 | − | 0.0720069i | ||||
\(328\) | −7.54302e7 | − | 8.26365e6i | −0.118028 | − | 0.0129304i | ||||
\(329\) | 7.33604e8i | 1.13573i | ||||||||
\(330\) | 1.78330e7 | + | 9.72382e7i | 0.0273166 | + | 0.148949i | ||||
\(331\) | − | 6.51795e8i | − | 0.987900i | −0.869490 | − | 0.493950i | \(-0.835553\pi\) | ||
0.869490 | − | 0.493950i | \(-0.164447\pi\) | |||||||
\(332\) | 4.99633e8 | + | 5.78178e8i | 0.749321 | + | 0.867118i | ||||
\(333\) | 1.75630e8 | − | 1.75630e8i | 0.260641 | − | 0.260641i | ||||
\(334\) | 3.86461e8 | − | 3.59323e8i | 0.567536 | − | 0.527682i | ||||
\(335\) | 1.68845e8 | + | 7.63105e8i | 0.245376 | + | 1.10899i | ||||
\(336\) | −3.78263e7 | − | 5.54255e6i | −0.0544009 | − | 0.00797118i | ||||
\(337\) | −1.98324e8 | − | 1.98324e8i | −0.282273 | − | 0.282273i | 0.551742 | − | 0.834015i | \(-0.313963\pi\) |
−0.834015 | + | 0.551742i | \(0.813963\pi\) | |||||||
\(338\) | 2.16922e7 | − | 5.96122e8i | 0.0305559 | − | 0.839705i | ||||
\(339\) | −4.56516e7 | −0.0636440 | ||||||||
\(340\) | 9.30454e8 | − | 1.35876e8i | 1.28386 | − | 0.187485i | ||||
\(341\) | −1.57371e9 | −2.14924 | ||||||||
\(342\) | −3.11126e7 | + | 8.55004e8i | −0.0420577 | + | 1.15578i | ||||
\(343\) | 5.38571e8 | + | 5.38571e8i | 0.720632 | + | 0.720632i | ||||
\(344\) | 3.21008e8 | + | 3.99996e8i | 0.425168 | + | 0.529787i | ||||
\(345\) | 9.70085e6 | + | 6.18576e6i | 0.0127187 | + | 0.00811011i | ||||
\(346\) | −6.87871e8 | + | 6.39567e8i | −0.892772 | + | 0.830079i | ||||
\(347\) | 1.75405e7 | − | 1.75405e7i | 0.0225366 | − | 0.0225366i | −0.695749 | − | 0.718285i | \(-0.744927\pi\) |
0.718285 | + | 0.695749i | \(0.244927\pi\) | |||||||
\(348\) | 1.38086e7 | − | 1.19327e7i | 0.0175639 | − | 0.0151779i | ||||
\(349\) | − | 5.34547e8i | − | 0.673127i | −0.941661 | − | 0.336564i | \(-0.890735\pi\) | ||
0.941661 | − | 0.336564i | \(-0.109265\pi\) | |||||||
\(350\) | 4.76763e8 | + | 1.93897e8i | 0.594380 | + | 0.241732i | ||||
\(351\) | − | 5.52879e7i | − | 0.0682426i | ||||||
\(352\) | −2.61550e8 | + | 1.42227e9i | −0.319635 | + | 1.73813i | ||||
\(353\) | 5.88714e8 | − | 5.88714e8i | 0.712349 | − | 0.712349i | −0.254677 | − | 0.967026i | \(-0.581969\pi\) |
0.967026 | + | 0.254677i | \(0.0819691\pi\) | |||||||
\(354\) | −2.65049e7 | − | 2.85067e7i | −0.0317552 | − | 0.0341536i | ||||
\(355\) | 1.16835e9 | + | 7.45000e8i | 1.38603 | + | 0.883806i | ||||
\(356\) | −8.03095e7 | + | 1.10203e9i | −0.0943392 | + | 1.29455i | ||||
\(357\) | 4.33654e7 | + | 4.33654e7i | 0.0504434 | + | 0.0504434i | ||||
\(358\) | −9.68789e8 | − | 3.52531e7i | −1.11593 | − | 0.0406076i | ||||
\(359\) | −6.52439e8 | −0.744233 | −0.372117 | − | 0.928186i | \(-0.621368\pi\) | ||||
−0.372117 | + | 0.928186i | \(0.621368\pi\) | |||||||
\(360\) | −6.85065e8 | − | 5.50329e8i | −0.773879 | − | 0.621675i | ||||
\(361\) | 3.19531e8 | 0.357468 | ||||||||
\(362\) | −8.60157e8 | − | 3.13001e7i | −0.953010 | − | 0.0346790i | ||||
\(363\) | 1.17241e8 | + | 1.17241e8i | 0.128649 | + | 0.128649i | ||||
\(364\) | −1.71509e7 | + | 2.35349e8i | −0.0186394 | + | 0.255775i | ||||
\(365\) | 5.45443e7 | + | 2.46516e8i | 0.0587117 | + | 0.265350i | ||||
\(366\) | −4.04292e7 | − | 4.34827e7i | −0.0431034 | − | 0.0463589i | ||||
\(367\) | 2.40601e8 | − | 2.40601e8i | 0.254077 | − | 0.254077i | −0.568563 | − | 0.822640i | \(-0.692500\pi\) |
0.822640 | + | 0.568563i | \(0.192500\pi\) | |||||||
\(368\) | 1.00494e8 | + | 1.35000e8i | 0.105117 | + | 0.141211i | ||||
\(369\) | − | 1.13755e8i | − | 0.117863i | ||||||
\(370\) | 3.55862e8 | − | 6.52634e7i | 0.365237 | − | 0.0669829i | ||||
\(371\) | − | 2.91916e8i | − | 0.296790i | ||||||
\(372\) | −7.82856e7 | + | 6.76506e7i | −0.0788464 | + | 0.0681352i | ||||
\(373\) | −5.35238e8 | + | 5.35238e8i | −0.534030 | + | 0.534030i | −0.921769 | − | 0.387739i | \(-0.873256\pi\) |
0.387739 | + | 0.921769i | \(0.373256\pi\) | |||||||
\(374\) | 1.69893e9 | − | 1.57963e9i | 1.67929 | − | 1.56137i | ||||
\(375\) | −5.31828e7 | − | 6.94874e7i | −0.0520788 | − | 0.0680450i | ||||
\(376\) | 1.42290e9 | − | 1.14192e9i | 1.38044 | − | 1.10784i | ||||
\(377\) | −7.96536e7 | − | 7.96536e7i | −0.0765616 | − | 0.0765616i | ||||
\(378\) | 4.18364e6 | − | 1.14970e8i | 0.00398412 | − | 0.109487i | ||||
\(379\) | −6.90665e8 | −0.651674 | −0.325837 | − | 0.945426i | \(-0.605646\pi\) | ||||
−0.325837 | + | 0.945426i | \(0.605646\pi\) | |||||||
\(380\) | −7.44649e8 | + | 9.99326e8i | −0.696160 | + | 0.934253i | ||||
\(381\) | −1.21083e8 | −0.112162 | ||||||||
\(382\) | 2.99287e7 | − | 8.22468e8i | 0.0274705 | − | 0.754914i | ||||
\(383\) | −1.11082e9 | − | 1.11082e9i | −1.01029 | − | 1.01029i | −0.999946 | − | 0.0103446i | \(-0.996707\pi\) |
−0.0103446 | − | 0.999946i | \(-0.503293\pi\) | |||||||
\(384\) | 4.81293e7 | + | 8.19953e7i | 0.0433761 | + | 0.0738975i | ||||
\(385\) | 1.23977e9 | − | 2.74312e8i | 1.10720 | − | 0.244981i | ||||
\(386\) | 1.08321e9 | − | 1.00715e9i | 0.958646 | − | 0.891327i | ||||
\(387\) | −5.43665e8 | + | 5.43665e8i | −0.476808 | + | 0.476808i | ||||
\(388\) | −3.79092e8 | − | 4.38687e8i | −0.329483 | − | 0.381280i | ||||
\(389\) | 1.83379e9i | 1.57953i | 0.613412 | + | 0.789763i | \(0.289796\pi\) | ||||
−0.613412 | + | 0.789763i | \(0.710204\pi\) | |||||||
\(390\) | 2.27857e7 | − | 3.30203e7i | 0.0194507 | − | 0.0281874i | ||||
\(391\) | − | 2.69979e8i | − | 0.228408i | ||||||
\(392\) | 7.64047e7 | − | 6.97419e8i | 0.0640647 | − | 0.584780i | ||||
\(393\) | 3.70621e7 | − | 3.70621e7i | 0.0308004 | − | 0.0308004i | ||||
\(394\) | −1.37762e9 | − | 1.48166e9i | −1.13473 | − | 1.22043i | ||||
\(395\) | −7.56418e7 | + | 1.18626e8i | −0.0617550 | + | 0.0968475i | ||||
\(396\) | −2.16216e9 | − | 1.57565e8i | −1.74966 | − | 0.127505i | ||||
\(397\) | −7.65356e7 | − | 7.65356e7i | −0.0613898 | − | 0.0613898i | 0.675745 | − | 0.737135i | \(-0.263822\pi\) |
−0.737135 | + | 0.675745i | \(0.763822\pi\) | |||||||
\(398\) | −4.78289e8 | − | 1.74044e7i | −0.380277 | − | 0.0138378i | ||||
\(399\) | −8.12809e7 | −0.0640595 | ||||||||
\(400\) | −3.66036e8 | − | 1.22655e9i | −0.285966 | − | 0.958240i | ||||
\(401\) | 8.24997e8 | 0.638921 | 0.319460 | − | 0.947600i | \(-0.396498\pi\) | ||||
0.319460 | + | 0.947600i | \(0.396498\pi\) | |||||||
\(402\) | 1.26686e8 | + | 4.60994e6i | 0.0972603 | + | 0.00353919i | ||||
\(403\) | 4.51585e8 | + | 4.51585e8i | 0.343694 | + | 0.343694i | ||||
\(404\) | 1.73845e9 | + | 1.26688e8i | 1.31168 | + | 0.0955876i | ||||
\(405\) | 7.02978e8 | − | 1.10245e9i | 0.525834 | − | 0.824642i | ||||
\(406\) | −1.59611e8 | − | 1.71666e8i | −0.118364 | − | 0.127304i | ||||
\(407\) | 6.31144e8 | − | 6.31144e8i | 0.464032 | − | 0.464032i | ||||
\(408\) | 1.66098e7 | − | 1.51613e8i | 0.0121075 | − | 0.110516i | ||||
\(409\) | 6.73253e8i | 0.486572i | 0.969955 | + | 0.243286i | \(0.0782253\pi\) | ||||
−0.969955 | + | 0.243286i | \(0.921775\pi\) | |||||||
\(410\) | 9.41097e7 | − | 1.36381e8i | 0.0674358 | − | 0.0977258i | ||||
\(411\) | 1.73295e8i | 0.123123i | ||||||||
\(412\) | 6.49191e8 | + | 7.51247e8i | 0.457333 | + | 0.529227i | ||||
\(413\) | −3.53517e8 | + | 3.53517e8i | −0.246937 | + | 0.246937i | ||||
\(414\) | −1.84770e8 | + | 1.71795e8i | −0.127977 | + | 0.118990i | ||||
\(415\) | −1.62924e9 | + | 3.60487e8i | −1.11896 | + | 0.247583i | ||||
\(416\) | 4.83180e8 | − | 3.33074e8i | 0.329065 | − | 0.226837i | ||||
\(417\) | 1.11706e6 | + | 1.11706e6i | 0.000754397 | + | 0.000754397i | ||||
\(418\) | −1.11807e8 | + | 3.07255e9i | −0.0748773 | + | 2.05770i | ||||
\(419\) | 1.99512e8 | 0.132501 | 0.0662505 | − | 0.997803i | \(-0.478896\pi\) | ||||
0.0662505 | + | 0.997803i | \(0.478896\pi\) | |||||||
\(420\) | 4.98811e7 | − | 6.69408e7i | 0.0328521 | − | 0.0440878i | ||||
\(421\) | −5.02691e8 | −0.328333 | −0.164166 | − | 0.986433i | \(-0.552493\pi\) | ||||
−0.164166 | + | 0.986433i | \(0.552493\pi\) | |||||||
\(422\) | 2.44765e7 | − | 6.72636e8i | 0.0158546 | − | 0.435699i | ||||
\(423\) | 1.93397e9 | + | 1.93397e9i | 1.24239 | + | 1.24239i | ||||
\(424\) | −5.66201e8 | + | 4.54392e8i | −0.360737 | + | 0.289501i | ||||
\(425\) | −7.03880e8 | + | 1.92893e9i | −0.444772 | + | 1.21887i | ||||
\(426\) | 1.64600e8 | − | 1.53041e8i | 0.103156 | − | 0.0959125i | ||||
\(427\) | −5.39237e8 | + | 5.39237e8i | −0.335183 | + | 0.335183i | ||||
\(428\) | 1.45734e9 | − | 1.25936e9i | 0.898476 | − | 0.776419i | ||||
\(429\) | − | 9.89755e7i | − | 0.0605239i | ||||||
\(430\) | −1.10158e9 | + | 2.02024e8i | −0.668152 | + | 0.122536i | ||||
\(431\) | 5.28235e8i | 0.317802i | 0.987295 | + | 0.158901i | \(0.0507951\pi\) | ||||
−0.987295 | + | 0.158901i | \(0.949205\pi\) | |||||||
\(432\) | −2.29509e8 | + | 1.70846e8i | −0.136964 | + | 0.101956i | ||||
\(433\) | 1.14007e9 | − | 1.14007e9i | 0.674874 | − | 0.674874i | −0.283962 | − | 0.958836i | \(-0.591649\pi\) |
0.958836 | + | 0.283962i | \(0.0916489\pi\) | |||||||
\(434\) | 9.04891e8 | + | 9.73234e8i | 0.531352 | + | 0.571483i | ||||
\(435\) | 8.60946e6 | + | 3.89109e7i | 0.00501491 | + | 0.0226651i | ||||
\(436\) | −1.49485e8 | + | 2.05128e9i | −0.0863766 | + | 1.18528i | ||||
\(437\) | 2.53015e8 | + | 2.53015e8i | 0.145031 | + | 0.145031i | ||||
\(438\) | 4.09249e7 | + | 1.48921e6i | 0.0232717 | + | 0.000846831i | ||||
\(439\) | −4.88680e8 | −0.275676 | −0.137838 | − | 0.990455i | \(-0.544015\pi\) | ||||
−0.137838 | + | 0.990455i | \(0.544015\pi\) | |||||||
\(440\) | −2.46186e9 | − | 1.97766e9i | −1.37777 | − | 1.10680i | ||||
\(441\) | 1.05176e9 | 0.583959 | ||||||||
\(442\) | −9.40799e8 | − | 3.42346e7i | −0.518226 | − | 0.0188577i | ||||
\(443\) | −8.53170e8 | − | 8.53170e8i | −0.466254 | − | 0.466254i | 0.434445 | − | 0.900699i | \(-0.356945\pi\) |
−0.900699 | + | 0.434445i | \(0.856945\pi\) | |||||||
\(444\) | 4.26520e6 | − | 5.85283e7i | 0.00231259 | − | 0.0317340i | ||||
\(445\) | −2.03443e9 | − | 1.29726e9i | −1.09442 | − | 0.697857i | ||||
\(446\) | 1.60728e9 | + | 1.72867e9i | 0.857865 | + | 0.922657i | ||||
\(447\) | −7.83370e7 | + | 7.83370e7i | −0.0414849 | + | 0.0414849i | ||||
\(448\) | 1.02997e9 | − | 6.56059e8i | 0.541191 | − | 0.344723i | ||||
\(449\) | − | 1.33866e9i | − | 0.697923i | −0.937137 | − | 0.348961i | \(-0.886534\pi\) | ||
0.937137 | − | 0.348961i | \(-0.113466\pi\) | |||||||
\(450\) | 1.76803e9 | − | 7.45706e8i | 0.914633 | − | 0.385766i | ||||
\(451\) | − | 4.08789e8i | − | 0.209837i | ||||||
\(452\) | 1.10334e9 | − | 9.53451e8i | 0.561984 | − | 0.485639i | ||||
\(453\) | −6.55268e7 | + | 6.55268e7i | −0.0331189 | + | 0.0331189i | ||||
\(454\) | −1.93791e9 | + | 1.80183e9i | −0.971938 | + | 0.903686i | ||||
\(455\) | −4.34472e8 | − | 2.77042e8i | −0.216233 | − | 0.137881i | ||||
\(456\) | 1.26520e8 | + | 1.57653e8i | 0.0624862 | + | 0.0778618i | ||||
\(457\) | −3.23503e7 | − | 3.23503e7i | −0.0158552 | − | 0.0158552i | 0.699135 | − | 0.714990i | \(-0.253569\pi\) |
−0.714990 | + | 0.699135i | \(0.753569\pi\) | |||||||
\(458\) | −1.54838e7 | + | 4.25510e8i | −0.00753094 | + | 0.206957i | ||||
\(459\) | 4.58981e8 | 0.221539 | ||||||||
\(460\) | −3.63648e8 | + | 5.31044e7i | −0.174192 | + | 0.0254377i | ||||
\(461\) | −6.23343e8 | −0.296329 | −0.148164 | − | 0.988963i | \(-0.547336\pi\) | ||||
−0.148164 | + | 0.988963i | \(0.547336\pi\) | |||||||
\(462\) | 7.48947e6 | − | 2.05818e8i | 0.00353349 | − | 0.0971037i | ||||
\(463\) | 8.17939e8 | + | 8.17939e8i | 0.382990 | + | 0.382990i | 0.872178 | − | 0.489188i | \(-0.162707\pi\) |
−0.489188 | + | 0.872178i | \(0.662707\pi\) | |||||||
\(464\) | −8.45156e7 | + | 5.76793e8i | −0.0392757 | + | 0.268045i | ||||
\(465\) | −4.88101e7 | − | 2.20600e8i | −0.0225125 | − | 0.101746i | ||||
\(466\) | −2.66143e8 | + | 2.47454e8i | −0.121833 | + | 0.113277i | ||||
\(467\) | 3.01352e9 | − | 3.01352e9i | 1.36919 | − | 1.36919i | 0.507600 | − | 0.861593i | \(-0.330533\pi\) |
0.861593 | − | 0.507600i | \(-0.169467\pi\) | |||||||
\(468\) | 5.75227e8 | + | 6.65655e8i | 0.259405 | + | 0.300185i | ||||
\(469\) | − | 1.62822e9i | − | 0.728799i | ||||||
\(470\) | 7.18658e8 | + | 3.91862e9i | 0.319286 | + | 1.74097i | ||||
\(471\) | − | 8.40633e7i | − | 0.0370709i | ||||||
\(472\) | 1.23596e9 | + | 1.35404e8i | 0.541014 | + | 0.0592700i | ||||
\(473\) | −1.95372e9 | + | 1.95372e9i | −0.848883 | + | 0.848883i | ||||
\(474\) | 1.55387e7 | + | 1.67123e7i | 0.00670178 | + | 0.00720794i | ||||
\(475\) | −1.14807e9 | − | 2.46738e9i | −0.491521 | − | 1.05635i | ||||
\(476\) | −1.95378e9 | − | 1.42381e8i | −0.830333 | − | 0.0605099i | ||||
\(477\) | −7.69567e8 | − | 7.69567e8i | −0.324663 | − | 0.324663i | ||||
\(478\) | −2.25469e9 | − | 8.20457e7i | −0.944255 | − | 0.0343604i | ||||
\(479\) | 2.62303e9 | 1.09051 | 0.545254 | − | 0.838271i | \(-0.316433\pi\) | ||||
0.545254 | + | 0.838271i | \(0.316433\pi\) | |||||||
\(480\) | −2.07483e8 | + | 7.44948e6i | −0.0856322 | + | 0.00307455i | ||||
\(481\) | −3.62220e8 | −0.148410 | ||||||||
\(482\) | 1.87153e9 | + | 6.81028e7i | 0.761258 | + | 0.0277013i | ||||
\(483\) | −1.69485e7 | − | 1.69485e7i | −0.00684408 | − | 0.00684408i | ||||
\(484\) | −5.28217e9 | − | 3.84934e8i | −2.11765 | − | 0.154322i | ||||
\(485\) | 1.23617e9 | − | 2.73516e8i | 0.492018 | − | 0.108865i | ||||
\(486\) | −4.38632e8 | − | 4.71760e8i | −0.173330 | − | 0.186421i | ||||
\(487\) | −2.89549e8 | + | 2.89549e8i | −0.113598 | + | 0.113598i | −0.761621 | − | 0.648023i | \(-0.775596\pi\) |
0.648023 | + | 0.761621i | \(0.275596\pi\) | |||||||
\(488\) | 1.88527e9 | + | 2.06538e8i | 0.734353 | + | 0.0804510i | ||||
\(489\) | 2.58433e8i | 0.0999464i | ||||||||
\(490\) | 1.26096e9 | + | 8.70127e8i | 0.484189 | + | 0.334115i | ||||
\(491\) | 4.72022e9i | 1.79960i | 0.436298 | + | 0.899802i | \(0.356289\pi\) | ||||
−0.436298 | + | 0.899802i | \(0.643711\pi\) | |||||||
\(492\) | −1.75730e7 | − | 2.03356e7i | −0.00665224 | − | 0.00769800i | ||||
\(493\) | 6.61257e8 | − | 6.61257e8i | 0.248545 | − | 0.248545i | ||||
\(494\) | 9.13767e8 | − | 8.49600e8i | 0.341029 | − | 0.317081i | ||||
\(495\) | 2.54519e9 | − | 3.99151e9i | 0.943196 | − | 1.47917i | ||||
\(496\) | 4.79149e8 | − | 3.27005e9i | 0.176313 | − | 1.20328i | ||||
\(497\) | −2.04123e9 | − | 2.04123e9i | −0.745840 | − | 0.745840i | ||||
\(498\) | −9.84227e6 | + | 2.70475e8i | −0.00357102 | + | 0.0981351i | ||||
\(499\) | −1.70138e9 | −0.612983 | −0.306492 | − | 0.951873i | \(-0.599155\pi\) | ||||
−0.306492 | + | 0.951873i | \(0.599155\pi\) | |||||||
\(500\) | 2.73662e9 | + | 5.68674e8i | 0.979084 | + | 0.203455i | ||||
\(501\) | 1.86905e8 | 0.0664033 | ||||||||
\(502\) | 9.49613e7 | − | 2.60963e9i | 0.0335030 | − | 0.920694i | ||||
\(503\) | −3.46811e9 | − | 3.46811e9i | −1.21508 | − | 1.21508i | −0.969334 | − | 0.245746i | \(-0.920967\pi\) |
−0.245746 | − | 0.969334i | \(-0.579033\pi\) | |||||||
\(504\) | 1.14580e9 | + | 1.42775e9i | 0.398661 | + | 0.496757i | ||||
\(505\) | −2.04642e9 | + | 3.20931e9i | −0.707092 | + | 1.10890i | ||||
\(506\) | −6.63992e8 | + | 6.17365e8i | −0.227843 | + | 0.211844i | ||||
\(507\) | 1.49398e8 | − | 1.49398e8i | 0.0509115 | − | 0.0509115i | ||||
\(508\) | 2.92641e9 | − | 2.52886e9i | 0.990404 | − | 0.855859i | ||||
\(509\) | − | 3.22836e9i | − | 1.08510i | −0.840023 | − | 0.542551i | \(-0.817459\pi\) | ||
0.840023 | − | 0.542551i | \(-0.182541\pi\) | |||||||
\(510\) | 2.74123e8 | + | 1.89159e8i | 0.0915059 | + | 0.0631438i | ||||
\(511\) | − | 5.25985e8i | − | 0.174381i | ||||||
\(512\) | −2.87572e9 | − | 9.76517e8i | −0.946896 | − | 0.321540i | ||||
\(513\) | −4.30140e8 | + | 4.30140e8i | −0.140669 | + | 0.140669i | ||||
\(514\) | −1.60130e9 | − | 1.72224e9i | −0.520119 | − | 0.559401i | ||||
\(515\) | −2.11692e9 | + | 4.68393e8i | −0.682936 | + | 0.151107i | ||||
\(516\) | −1.32030e7 | + | 1.81176e8i | −0.00423058 | + | 0.0580531i | ||||
\(517\) | 6.94994e9 | + | 6.94994e9i | 2.21189 | + | 2.21189i | ||||
\(518\) | −7.53229e8 | − | 2.74091e7i | −0.238107 | − | 0.00866446i | ||||
\(519\) | −3.32677e8 | −0.104457 | ||||||||
\(520\) | 1.38941e8 | + | 1.27394e9i | 0.0433330 | + | 0.397318i | ||||
\(521\) | 1.61238e9 | 0.499500 | 0.249750 | − | 0.968310i | \(-0.419652\pi\) | ||||
0.249750 | + | 0.968310i | \(0.419652\pi\) | |||||||
\(522\) | −8.73331e8 | − | 3.17795e7i | −0.268740 | − | 0.00977914i | ||||
\(523\) | 1.61920e9 | + | 1.61920e9i | 0.494930 | + | 0.494930i | 0.909855 | − | 0.414925i | \(-0.136192\pi\) |
−0.414925 | + | 0.909855i | \(0.636192\pi\) | |||||||
\(524\) | −1.21685e8 | + | 1.66980e9i | −0.0369469 | + | 0.506996i | ||||
\(525\) | 7.69049e7 | + | 1.65280e8i | 0.0231951 | + | 0.0498496i | ||||
\(526\) | −6.41881e8 | − | 6.90360e8i | −0.192311 | − | 0.206836i | ||||
\(527\) | −3.74890e9 | + | 3.74890e9i | −1.11575 | + | 1.11575i | ||||
\(528\) | −4.10862e8 | + | 3.05846e8i | −0.121472 | + | 0.0904240i | ||||
\(529\) | − | 3.29931e9i | − | 0.969010i | ||||||
\(530\) | −2.85969e8 | − | 1.55930e9i | −0.0834359 | − | 0.454951i | ||||
\(531\) | 1.86393e9i | 0.540255i | ||||||||
\(532\) | 1.96445e9 | − | 1.69758e9i | 0.565653 | − | 0.488810i | ||||
\(533\) | −1.17304e8 | + | 1.17304e8i | −0.0335558 | + | 0.0335558i | ||||
\(534\) | −2.86616e8 | + | 2.66489e8i | −0.0814527 | + | 0.0757329i | ||||
\(535\) | 9.08630e8 | + | 4.10660e9i | 0.256536 | + | 1.15943i | ||||
\(536\) | −3.15810e9 | + | 2.53446e9i | −0.885827 | + | 0.710899i | ||||
\(537\) | −2.42794e8 | − | 2.42794e8i | −0.0676594 | − | 0.0676594i | ||||
\(538\) | −3.54423e7 | + | 9.73989e8i | −0.00981261 | + | 0.269660i | ||||
\(539\) | 3.77962e9 | 1.03965 | ||||||||
\(540\) | −9.02806e7 | − | 6.18224e8i | −0.0246727 | − | 0.168954i | ||||
\(541\) | 1.93493e9 | 0.525382 | 0.262691 | − | 0.964880i | \(-0.415390\pi\) | ||||
0.262691 | + | 0.964880i | \(0.415390\pi\) | |||||||
\(542\) | 6.57443e7 | − | 1.80672e9i | 0.0177362 | − | 0.487408i | ||||
\(543\) | −2.15569e8 | − | 2.15569e8i | −0.0577812 | − | 0.0577812i | ||||
\(544\) | 2.76507e9 | + | 4.01119e9i | 0.736392 | + | 1.06826i | ||||
\(545\) | −3.78682e9 | − | 2.41467e9i | −1.00204 | − | 0.638955i | ||||
\(546\) | −6.12095e7 | + | 5.69113e7i | −0.0160933 | + | 0.0149632i | ||||
\(547\) | −3.25133e9 | + | 3.25133e9i | −0.849386 | + | 0.849386i | −0.990056 | − | 0.140671i | \(-0.955074\pi\) |
0.140671 | + | 0.990056i | \(0.455074\pi\) | |||||||
\(548\) | −3.61933e9 | − | 4.18830e9i | −0.939498 | − | 1.08719i | ||||
\(549\) | 2.84314e9i | 0.733322i | ||||||||
\(550\) | 6.35362e9 | − | 2.67977e9i | 1.62837 | − | 0.686798i | ||||
\(551\) | 1.23941e9i | 0.315635i | ||||||||
\(552\) | −6.49159e6 | + | 5.92549e7i | −0.00164272 | + | 0.0149947i | ||||
\(553\) | 2.07252e8 | − | 2.07252e8i | 0.0521147 | − | 0.0521147i | ||||
\(554\) | −4.67823e8 | − | 5.03155e8i | −0.116895 | − | 0.125724i | ||||
\(555\) | 1.08048e8 | + | 6.88968e7i | 0.0268281 | + | 0.0171070i | ||||
\(556\) | −5.03280e7 | − | 3.66761e6i | −0.0124179 | − | 0.000904944i | ||||
\(557\) | 3.15200e9 | + | 3.15200e9i | 0.772846 | + | 0.772846i | 0.978603 | − | 0.205757i | \(-0.0659656\pi\) |
−0.205757 | + | 0.978603i | \(0.565966\pi\) | |||||||
\(558\) | 4.95123e9 | + | 1.80170e8i | 1.20641 | + | 0.0438997i | ||||
\(559\) | 1.12126e9 | 0.271497 | ||||||||
\(560\) | 1.92526e8 | + | 2.65965e9i | 0.0463267 | + | 0.639981i | ||||
\(561\) | 8.21660e8 | 0.196482 | ||||||||
\(562\) | −6.22233e9 | − | 2.26424e8i | −1.47869 | − | 0.0538077i | ||||
\(563\) | −9.58862e7 | − | 9.58862e7i | −0.0226452 | − | 0.0226452i | 0.695694 | − | 0.718339i | \(-0.255097\pi\) |
−0.718339 | + | 0.695694i | \(0.755097\pi\) | |||||||
\(564\) | 6.44493e8 | + | 4.69669e7i | 0.151266 | + | 0.0110234i | ||||
\(565\) | 6.87917e8 | + | 3.10907e9i | 0.160460 | + | 0.725206i | ||||
\(566\) | −3.74125e9 | − | 4.02381e9i | −0.867280 | − | 0.932783i | ||||
\(567\) | −1.92610e9 | + | 1.92610e9i | −0.443749 | + | 0.443749i | ||||
\(568\) | −7.81833e8 | + | 7.13653e9i | −0.179017 | + | 1.63406i | ||||
\(569\) | 5.59524e9i | 1.27329i | 0.771159 | + | 0.636643i | \(0.219677\pi\) | ||||
−0.771159 | + | 0.636643i | \(0.780323\pi\) | |||||||
\(570\) | −4.34171e8 | + | 7.96250e7i | −0.0981970 | + | 0.0180089i | ||||
\(571\) | − | 7.02795e9i | − | 1.57980i | −0.613235 | − | 0.789900i | \(-0.710132\pi\) | ||
0.613235 | − | 0.789900i | \(-0.289868\pi\) | |||||||
\(572\) | 2.06714e9 | + | 2.39210e9i | 0.461832 | + | 0.534434i | ||||
\(573\) | 2.06124e8 | − | 2.06124e8i | 0.0457706 | − | 0.0457706i | ||||
\(574\) | −2.52808e8 | + | 2.35055e8i | −0.0557956 | + | 0.0518775i | ||||
\(575\) | 2.75097e8 | − | 7.53883e8i | 0.0603460 | − | 0.165374i | ||||
\(576\) | 9.85720e8 | − | 4.44481e9i | 0.214919 | − | 0.969113i | ||||
\(577\) | −5.27941e9 | − | 5.27941e9i | −1.14412 | − | 1.14412i | −0.987690 | − | 0.156427i | \(-0.950002\pi\) |
−0.156427 | − | 0.987690i | \(-0.549998\pi\) | |||||||
\(578\) | 1.15382e8 | − | 3.17081e9i | 0.0248537 | − | 0.683002i | ||||
\(579\) | 5.23877e8 | 0.112164 | ||||||||
\(580\) | −1.02075e9 | − | 7.60611e8i | −0.217230 | − | 0.161869i | ||||
\(581\) | 3.47626e9 | 0.735354 | ||||||||
\(582\) | 7.46773e6 | − | 2.05220e8i | 0.00157021 | − | 0.0431509i | ||||
\(583\) | −2.76552e9 | − | 2.76552e9i | −0.578012 | − | 0.578012i | ||||
\(584\) | −1.02020e9 | + | 8.18739e8i | −0.211954 | + | 0.170099i | ||||
\(585\) | −1.87574e9 | + | 4.15028e8i | −0.387370 | + | 0.0857100i | ||||
\(586\) | 5.76097e9 | − | 5.35642e9i | 1.18264 | − | 1.09960i | ||||
\(587\) | −1.36796e9 | + | 1.36796e9i | −0.279152 | + | 0.279152i | −0.832771 | − | 0.553618i | \(-0.813247\pi\) |
0.553618 | + | 0.832771i | \(0.313247\pi\) | |||||||
\(588\) | 1.88020e8 | − | 1.62478e8i | 0.0381403 | − | 0.0329590i | ||||
\(589\) | − | 7.02667e9i | − | 1.41692i | ||||||
\(590\) | −1.54204e9 | + | 2.23467e9i | −0.309109 | + | 0.447951i | ||||
\(591\) | − | 7.16581e8i | − | 0.142794i | ||||||
\(592\) | 1.11930e9 | + | 1.50363e9i | 0.221728 | + | 0.297862i | ||||
\(593\) | −1.73951e8 | + | 1.73951e8i | −0.0342560 | + | 0.0342560i | −0.724027 | − | 0.689771i | \(-0.757711\pi\) |
0.689771 | + | 0.724027i | \(0.257711\pi\) | |||||||
\(594\) | −1.04956e9 | − | 1.12883e9i | −0.205472 | − | 0.220991i | ||||
\(595\) | 2.29991e9 | − | 3.60684e9i | 0.447611 | − | 0.701968i | ||||
\(596\) | 2.57202e8 | − | 3.52939e9i | 0.0497637 | − | 0.682870i | ||||
\(597\) | −1.19867e8 | − | 1.19867e8i | −0.0230563 | − | 0.0230563i | ||||
\(598\) | 3.67692e8 | + | 1.33799e7i | 0.0703121 | + | 0.00255858i | ||||
\(599\) | 6.55496e9 | 1.24617 | 0.623083 | − | 0.782156i | \(-0.285880\pi\) | ||||
0.623083 | + | 0.782156i | \(0.285880\pi\) | |||||||
\(600\) | 2.00868e8 | − | 4.06436e8i | 0.0379648 | − | 0.0768180i | ||||
\(601\) | −4.90759e9 | −0.922163 | −0.461081 | − | 0.887358i | \(-0.652538\pi\) | ||||
−0.461081 | + | 0.887358i | \(0.652538\pi\) | |||||||
\(602\) | 2.33164e9 | + | 8.48456e7i | 0.435585 | + | 0.0158504i | ||||
\(603\) | −4.29241e9 | − | 4.29241e9i | −0.797243 | − | 0.797243i | ||||
\(604\) | 2.15143e8 | − | 2.95225e9i | 0.0397281 | − | 0.545159i | ||||
\(605\) | 6.21793e9 | − | 9.75130e9i | 1.14157 | − | 1.79027i | ||||
\(606\) | 4.20386e8 | + | 4.52136e8i | 0.0767351 | + | 0.0825306i | ||||
\(607\) | 3.30338e9 | − | 3.30338e9i | 0.599512 | − | 0.599512i | −0.340670 | − | 0.940183i | \(-0.610654\pi\) |
0.940183 | + | 0.340670i | \(0.110654\pi\) | |||||||
\(608\) | −6.35046e9 | − | 1.16782e9i | −1.14589 | − | 0.210725i | ||||
\(609\) | − | 8.30232e7i | − | 0.0148949i | ||||||
\(610\) | −2.35214e9 | + | 3.40864e9i | −0.419574 | + | 0.608033i | ||||
\(611\) | − | 3.98864e9i | − | 0.707425i | ||||||
\(612\) | −5.52604e9 | + | 4.77533e9i | −0.974505 | + | 0.842119i | ||||
\(613\) | −5.27313e9 | + | 5.27313e9i | −0.924606 | + | 0.924606i | −0.997351 | − | 0.0727449i | \(-0.976824\pi\) |
0.0727449 | + | 0.997351i | \(0.476824\pi\) | |||||||
\(614\) | −2.56745e7 | + | 2.38715e7i | −0.00447623 | + | 0.00416190i | ||||
\(615\) | 5.73032e7 | − | 1.26790e7i | 0.00993381 | − | 0.00219796i | ||||
\(616\) | 4.11757e9 | + | 5.13075e9i | 0.709755 | + | 0.884400i | ||||
\(617\) | −1.16802e9 | − | 1.16802e9i | −0.200194 | − | 0.200194i | 0.599889 | − | 0.800083i | \(-0.295211\pi\) |
−0.800083 | + | 0.599889i | \(0.795211\pi\) | |||||||
\(618\) | −1.27884e7 | + | 3.51437e8i | −0.00217950 | + | 0.0598947i | ||||
\(619\) | 2.75694e9 | 0.467208 | 0.233604 | − | 0.972332i | \(-0.424948\pi\) | ||||
0.233604 | + | 0.972332i | \(0.424948\pi\) | |||||||
\(620\) | 5.78698e9 | + | 4.31218e9i | 0.975171 | + | 0.726650i | ||||
\(621\) | −1.79383e8 | −0.0300581 | ||||||||
\(622\) | −1.75159e8 | + | 4.81353e9i | −0.0291854 | + | 0.802042i | ||||
\(623\) | 3.55437e9 | + | 3.55437e9i | 0.588918 | + | 0.588918i | ||||
\(624\) | 2.05663e8 | + | 3.01351e7i | 0.0338852 | + | 0.00496508i | ||||
\(625\) | −3.93099e9 | + | 4.66907e9i | −0.644053 | + | 0.764981i | ||||
\(626\) | −5.21163e9 | + | 4.84566e9i | −0.849110 | + | 0.789483i | ||||
\(627\) | −7.70030e8 | + | 7.70030e8i | −0.124759 | + | 0.124759i | ||||
\(628\) | 1.75569e9 | + | 2.03170e9i | 0.282872 | + | 0.327341i | ||||
\(629\) | − | 3.00702e9i | − | 0.481792i | ||||||
\(630\) | −3.93197e9 | + | 7.21105e8i | −0.626495 | + | 0.114896i | ||||
\(631\) | 5.29415e7i | 0.00838868i | 0.999991 | + | 0.00419434i | \(0.00133510\pi\) | ||||
−0.999991 | + | 0.00419434i | \(0.998665\pi\) | |||||||
\(632\) | −7.24591e8 | − | 7.93815e7i | −0.114178 | − | 0.0125086i | ||||
\(633\) | 1.68573e8 | − | 1.68573e8i | 0.0264165 | − | 0.0264165i | ||||
\(634\) | 5.81607e9 | + | 6.25534e9i | 0.906395 | + | 0.974851i | ||||
\(635\) | 1.82458e9 | + | 8.24628e9i | 0.282784 | + | 1.27806i | ||||
\(636\) | −2.56457e8 | − | 1.86891e7i | −0.0395289 | − | 0.00288064i | ||||
\(637\) | −1.08458e9 | − | 1.08458e9i | −0.166255 | − | 0.166255i | ||||
\(638\) | −3.13841e9 | − | 1.14203e8i | −0.478451 | − | 0.0174103i | ||||
\(639\) | −1.07625e10 | −1.63177 | ||||||||
\(640\) | 4.85899e9 | − | 4.51339e9i | 0.732682 | − | 0.680571i | ||||
\(641\) | 6.65348e8 | 0.0997805 | 0.0498903 | − | 0.998755i | \(-0.484113\pi\) | ||||
0.0498903 | + | 0.998755i | \(0.484113\pi\) | |||||||
\(642\) | 6.81749e8 | + | 2.48081e7i | 0.101684 | + | 0.00370016i | ||||
\(643\) | 8.14853e9 | + | 8.14853e9i | 1.20876 | + | 1.20876i | 0.971428 | + | 0.237334i | \(0.0762735\pi\) |
0.237334 | + | 0.971428i | \(0.423726\pi\) | |||||||
\(644\) | 7.63596e8 | + | 5.56465e7i | 0.112658 | + | 0.00820988i | ||||
\(645\) | −3.34464e8 | − | 2.13272e8i | −0.0490784 | − | 0.0312949i | ||||
\(646\) | 7.05308e9 | + | 7.58577e9i | 1.02935 | + | 1.10710i | ||||
\(647\) | 6.73119e9 | − | 6.73119e9i | 0.977073 | − | 0.977073i | −0.0226697 | − | 0.999743i | \(-0.507217\pi\) |
0.999743 | + | 0.0226697i | \(0.00721661\pi\) | |||||||
\(648\) | 6.73399e9 | + | 7.37733e8i | 0.972210 | + | 0.106509i | ||||
\(649\) | 6.69822e9i | 0.961841i | ||||||||
\(650\) | −2.59218e9 | − | 1.05423e9i | −0.370227 | − | 0.150570i | ||||
\(651\) | 4.70688e8i | 0.0668651i | ||||||||
\(652\) | −5.39747e9 | − | 6.24598e9i | −0.762647 | − | 0.882539i | ||||
\(653\) | 4.89097e9 | − | 4.89097e9i | 0.687383 | − | 0.687383i | −0.274270 | − | 0.961653i | \(-0.588436\pi\) |
0.961653 | + | 0.274270i | \(0.0884362\pi\) | |||||||
\(654\) | −5.33496e8 | + | 4.96033e8i | −0.0745778 | + | 0.0693407i | ||||
\(655\) | −3.08258e9 | − | 1.96561e9i | −0.428617 | − | 0.273308i | ||||
\(656\) | 8.49431e8 | + | 1.24464e8i | 0.117480 | + | 0.0172140i | ||||
\(657\) | −1.38663e9 | − | 1.38663e9i | −0.190758 | − | 0.190758i | ||||
\(658\) | 3.01820e8 | − | 8.29430e9i | 0.0413007 | − | 1.13498i | ||||
\(659\) | −6.95092e9 | −0.946114 | −0.473057 | − | 0.881032i | \(-0.656850\pi\) | ||||
−0.473057 | + | 0.881032i | \(0.656850\pi\) | |||||||
\(660\) | −1.61619e8 | − | 1.10673e9i | −0.0218820 | − | 0.149844i | ||||
\(661\) | −8.50689e9 | −1.14569 | −0.572843 | − | 0.819665i | \(-0.694160\pi\) | ||||
−0.572843 | + | 0.819665i | \(0.694160\pi\) | |||||||
\(662\) | −2.68162e8 | + | 7.36934e9i | −0.0359248 | + | 0.987246i | ||||
\(663\) | −2.35779e8 | − | 2.35779e8i | −0.0314202 | − | 0.0314202i | ||||
\(664\) | −5.41109e9 | − | 6.74257e9i | −0.717293 | − | 0.893794i | ||||
\(665\) | 1.22481e9 | + | 5.53559e9i | 0.161508 | + | 0.729941i | ||||
\(666\) | −2.05797e9 | + | 1.91345e9i | −0.269947 | + | 0.250991i | ||||
\(667\) | −2.58438e8 | + | 2.58438e8i | −0.0337222 | + | 0.0337222i | ||||
\(668\) | −4.51725e9 | + | 3.90359e9i | −0.586350 | + | 0.506695i | ||||
\(669\) | 8.36042e8i | 0.107953i | ||||||||
\(670\) | −1.59505e9 | − | 8.69730e9i | −0.204886 | − | 1.11718i | ||||
\(671\) | 1.02171e10i | 1.30557i | ||||||||
\(672\) | 4.25392e8 | + | 7.82279e7i | 0.0540750 | + | 0.00994418i | ||||
\(673\) | 1.05812e10 | − | 1.05812e10i | 1.33808 | − | 1.33808i | 0.440160 | − | 0.897920i | \(-0.354922\pi\) |
0.897920 | − | 0.440160i | \(-0.145078\pi\) | |||||||
\(674\) | 2.16070e9 | + | 2.32389e9i | 0.271822 | + | 0.292351i | ||||
\(675\) | 1.28165e9 | + | 4.67681e8i | 0.160400 | + | 0.0585311i | ||||
\(676\) | −4.90514e8 | + | 6.73097e9i | −0.0610714 | + | 0.838038i | ||||
\(677\) | 4.36544e9 | + | 4.36544e9i | 0.540714 | + | 0.540714i | 0.923738 | − | 0.383024i | \(-0.125117\pi\) |
−0.383024 | + | 0.923738i | \(0.625117\pi\) | |||||||
\(678\) | 5.16147e8 | + | 1.87820e7i | 0.0636019 | + | 0.00231440i | ||||
\(679\) | −2.63758e9 | −0.323342 | ||||||||
\(680\) | −1.05758e10 | + | 1.15344e9i | −1.28983 | + | 0.140674i | ||||
\(681\) | −9.37238e8 | −0.113720 | ||||||||
\(682\) | 1.77928e10 | + | 6.47459e8i | 2.14782 | + | 0.0781568i | ||||
\(683\) | −6.42877e9 | − | 6.42877e9i | −0.772067 | − | 0.772067i | 0.206400 | − | 0.978468i | \(-0.433825\pi\) |
−0.978468 | + | 0.206400i | \(0.933825\pi\) | |||||||
\(684\) | 7.03533e8 | − | 9.65407e9i | 0.0840598 | − | 1.15349i | ||||
\(685\) | 1.18021e10 | − | 2.61135e9i | 1.40295 | − | 0.310419i | ||||
\(686\) | −5.86762e9 | − | 6.31078e9i | −0.693950 | − | 0.746361i | ||||
\(687\) | −1.06640e8 | + | 1.06640e8i | −0.0125479 | + | 0.0125479i | ||||
\(688\) | −3.46482e9 | − | 4.65452e9i | −0.405621 | − | 0.544898i | ||||
\(689\) | 1.58716e9i | 0.184864i | ||||||||
\(690\) | −1.07135e8 | − | 7.39288e7i | −0.0124154 | − | 0.00856726i | ||||
\(691\) | − | 2.26489e9i | − | 0.261140i | −0.991439 | − | 0.130570i | \(-0.958319\pi\) | ||
0.991439 | − | 0.130570i | \(-0.0416807\pi\) | |||||||
\(692\) | 8.04035e9 | − | 6.94808e9i | 0.922367 | − | 0.797065i | ||||
\(693\) | −6.97360e9 | + | 6.97360e9i | −0.795959 | + | 0.795959i | ||||
\(694\) | −2.05533e8 | + | 1.91100e8i | −0.0233412 | + | 0.0217022i | ||||
\(695\) | 5.92438e7 | − | 9.29093e7i | 0.00669416 | − | 0.0104981i | ||||
\(696\) | −1.61032e8 | + | 1.29232e8i | −0.0181042 | + | 0.0145291i | ||||
\(697\) | −9.73818e8 | − | 9.73818e8i | −0.108934 | − | 0.108934i | ||||
\(698\) | −2.19924e8 | + | 6.04371e9i | −0.0244781 | + | 0.672682i | ||||
\(699\) | −1.28716e8 | −0.0142548 | ||||||||
\(700\) | −5.31061e9 | − | 2.38840e9i | −0.585196 | − | 0.263186i | ||||
\(701\) | −1.24128e9 | −0.136100 | −0.0680499 | − | 0.997682i | \(-0.521678\pi\) | ||||
−0.0680499 | + | 0.997682i | \(0.521678\pi\) | |||||||
\(702\) | −2.27466e7 | + | 6.25098e8i | −0.00248163 | + | 0.0681974i | ||||
\(703\) | 2.81807e9 | + | 2.81807e9i | 0.305920 | + | 0.305920i | ||||
\(704\) | 3.54229e9 | − | 1.59729e10i | 0.382631 | − | 1.72536i | ||||
\(705\) | −7.58668e8 | + | 1.18978e9i | −0.0815436 | + | 0.127881i | ||||
\(706\) | −6.89834e9 | + | 6.41393e9i | −0.737783 | + | 0.685974i | ||||
\(707\) | 5.60702e9 | − | 5.60702e9i | 0.596712 | − | 0.596712i | ||||
\(708\) | 2.87943e8 | + | 3.33208e8i | 0.0304922 | + | 0.0352858i | ||||
\(709\) | 1.53303e10i | 1.61544i | 0.589568 | + | 0.807718i | \(0.299298\pi\) | ||||
−0.589568 | + | 0.807718i | \(0.700702\pi\) | |||||||
\(710\) | −1.29031e10 | − | 8.90382e9i | −1.35298 | − | 0.933625i | ||||
\(711\) | − | 1.09274e9i | − | 0.114018i | ||||||
\(712\) | 1.36140e9 | − | 1.24267e10i | 0.141353 | − | 1.29026i | ||||
\(713\) | 1.46518e9 | − | 1.46518e9i | 0.151383 | − | 0.151383i | ||||
\(714\) | −4.72457e8 | − | 5.08140e8i | −0.0485757 | − | 0.0522444i | ||||
\(715\) | −6.74066e9 | + | 1.49145e9i | −0.689654 | + | 0.152594i | ||||
\(716\) | 1.09388e10 | + | 7.97160e8i | 1.11372 | + | 0.0811615i | ||||
\(717\) | −5.65062e8 | − | 5.65062e8i | −0.0572504 | − | 0.0572504i | ||||
\(718\) | 7.37662e9 | + | 2.68427e8i | 0.743741 | + | 0.0270639i | ||||
\(719\) | −1.20575e10 | −1.20978 | −0.604888 | − | 0.796311i | \(-0.706782\pi\) | ||||
−0.604888 | + | 0.796311i | \(0.706782\pi\) | |||||||
\(720\) | 7.51909e9 | + | 6.50399e9i | 0.750760 | + | 0.649406i | ||||
\(721\) | 4.51683e9 | 0.448808 | ||||||||
\(722\) | −3.61269e9 | − | 1.31462e8i | −0.357232 | − | 0.0129993i | ||||
\(723\) | 4.69035e8 | + | 4.69035e8i | 0.0461552 | + | 0.0461552i | ||||
\(724\) | 9.71225e9 | + | 7.07772e8i | 0.951119 | + | 0.0693120i | ||||
\(725\) | 2.52026e9 | − | 1.17268e9i | 0.245620 | − | 0.114287i | ||||
\(726\) | −1.27732e9 | − | 1.37379e9i | −0.123885 | − | 0.133242i | ||||
\(727\) | 1.25078e9 | − | 1.25078e9i | 0.120728 | − | 0.120728i | −0.644161 | − | 0.764890i | \(-0.722793\pi\) |
0.764890 | + | 0.644161i | \(0.222793\pi\) | |||||||
\(728\) | 2.90739e8 | − | 2.65385e9i | 0.0279282 | − | 0.254928i | ||||
\(729\) | 1.00023e10i | 0.956215i | ||||||||
\(730\) | −5.15269e8 | − | 2.80960e9i | −0.0490235 | − | 0.267310i | ||||
\(731\) | 9.30830e9i | 0.881372i | ||||||||
\(732\) | 4.39212e8 | + | 5.08259e8i | 0.0413891 | + | 0.0478956i | ||||
\(733\) | −6.17582e8 | + | 6.17582e8i | −0.0579203 | + | 0.0579203i | −0.735474 | − | 0.677553i | \(-0.763040\pi\) |
0.677553 | + | 0.735474i | \(0.263040\pi\) | |||||||
\(734\) | −2.81927e9 | + | 2.62130e9i | −0.263149 | + | 0.244670i | ||||
\(735\) | 1.17228e8 | + | 5.29818e8i | 0.0108900 | + | 0.0492177i | ||||
\(736\) | −1.08067e9 | − | 1.56769e9i | −0.0999125 | − | 0.144940i | ||||
\(737\) | −1.54252e10 | − | 1.54252e10i | −1.41937 | − | 1.41937i | ||||
\(738\) | −4.68010e7 | + | 1.28614e9i | −0.00428606 | + | 0.117785i | ||||
\(739\) | −7.59769e9 | −0.692510 | −0.346255 | − | 0.938140i | \(-0.612547\pi\) | ||||
−0.346255 | + | 0.938140i | \(0.612547\pi\) | |||||||
\(740\) | −4.05030e9 | + | 5.91474e8i | −0.367431 | + | 0.0536568i | ||||
\(741\) | 4.41928e8 | 0.0399013 | ||||||||
\(742\) | −1.20100e8 | + | 3.30047e9i | −0.0107927 | + | 0.296594i | ||||
\(743\) | 9.79501e9 | + | 9.79501e9i | 0.876080 | + | 0.876080i | 0.993126 | − | 0.117046i | \(-0.0373426\pi\) |
−0.117046 | + | 0.993126i | \(0.537343\pi\) | |||||||
\(744\) | 9.12948e8 | − | 7.32665e8i | 0.0812720 | − | 0.0652229i | ||||
\(745\) | 6.51554e9 | + | 4.15464e9i | 0.577302 | + | 0.368118i | ||||
\(746\) | 6.27173e9 | − | 5.83131e9i | 0.553097 | − | 0.514257i | ||||
\(747\) | 9.16434e9 | − | 9.16434e9i | 0.804413 | − | 0.804413i | ||||
\(748\) | −1.98584e10 | + | 1.71607e10i | −1.73496 | + | 1.49927i | ||||
\(749\) | − | 8.76215e9i | − | 0.761946i | ||||||
\(750\) | 5.72708e8 | + | 8.07520e8i | 0.0495700 | + | 0.0698938i | ||||
\(751\) | − | 1.49232e10i | − | 1.28565i | −0.766015 | − | 0.642823i | \(-0.777763\pi\) | ||
0.766015 | − | 0.642823i | \(-0.222237\pi\) | |||||||
\(752\) | −1.65574e10 | + | 1.23253e10i | −1.41981 | + | 1.05691i | ||||
\(753\) | 6.54014e8 | − | 6.54014e8i | 0.0558219 | − | 0.0558219i | ||||
\(754\) | 8.67811e8 | + | 9.33353e8i | 0.0737268 | + | 0.0792951i | ||||
\(755\) | 5.45008e9 | + | 3.47525e9i | 0.460880 | + | 0.293881i | ||||
\(756\) | −9.46023e7 | + | 1.29816e9i | −0.00796297 | + | 0.109270i | ||||
\(757\) | 7.59624e9 | + | 7.59624e9i | 0.636448 | + | 0.636448i | 0.949677 | − | 0.313230i | \(-0.101411\pi\) |
−0.313230 | + | 0.949677i | \(0.601411\pi\) | |||||||
\(758\) | 7.80881e9 | + | 2.84154e8i | 0.651243 | + | 0.0236980i | ||||
\(759\) | −3.21129e8 | −0.0266583 | ||||||||
\(760\) | 8.83032e9 | − | 1.09922e10i | 0.729674 | − | 0.908319i | ||||
\(761\) | 1.33749e10 | 1.10013 | 0.550066 | − | 0.835121i | \(-0.314603\pi\) | ||||
0.550066 | + | 0.835121i | \(0.314603\pi\) | |||||||
\(762\) | 1.36899e9 | + | 4.98160e7i | 0.112088 | + | 0.00407875i | ||||
\(763\) | 6.61599e9 | + | 6.61599e9i | 0.539211 | + | 0.539211i | ||||
\(764\) | −6.76761e8 | + | 9.28670e9i | −0.0549046 | + | 0.753415i | ||||
\(765\) | −3.44541e9 | − | 1.55717e10i | −0.278244 | − | 1.25754i | ||||
\(766\) | 1.21021e10 | + | 1.30162e10i | 0.972884 | + | 1.04636i | ||||
\(767\) | 1.92209e9 | − | 1.92209e9i | 0.153812 | − | 0.153812i | ||||
\(768\) | −5.10427e8 | − | 9.46859e8i | −0.0406602 | − | 0.0754260i | ||||
\(769\) | − | 1.23200e10i | − | 0.976939i | −0.872581 | − | 0.488469i | \(-0.837555\pi\) | ||
0.872581 | − | 0.488469i | \(-0.162445\pi\) | |||||||
\(770\) | −1.41299e10 | + | 2.59137e9i | −1.11538 | + | 0.204556i | ||||
\(771\) | − | 8.32934e8i | − | 0.0654516i | ||||||
\(772\) | −1.26614e10 | + | 1.09414e10i | −0.990425 | + | 0.855877i | ||||
\(773\) | −4.94826e9 | + | 4.94826e9i | −0.385322 | + | 0.385322i | −0.873015 | − | 0.487693i | \(-0.837839\pi\) |
0.487693 | + | 0.873015i | \(0.337839\pi\) | |||||||
\(774\) | 6.37048e9 | − | 5.92313e9i | 0.493831 | − | 0.459153i | ||||
\(775\) | −1.42883e10 | + | 6.64836e9i | −1.10262 | + | 0.513049i | ||||
\(776\) | 4.10562e9 | + | 5.11586e9i | 0.315400 | + | 0.393009i | ||||
\(777\) | −1.88771e8 | − | 1.88771e8i | −0.0144365 | − | 0.0144365i | ||||
\(778\) | 7.54460e8 | − | 2.07333e10i | 0.0574391 | − | 1.57848i | ||||
\(779\) | 1.82525e9 | 0.138338 | ||||||||
\(780\) | −2.71205e8 | + | 3.63960e8i | −0.0204629 | + | 0.0274614i | ||||
\(781\) | −3.86760e10 | −2.90511 | ||||||||
\(782\) | −1.11075e8 | + | 3.05245e9i | −0.00830603 | + | 0.228257i | ||||
\(783\) | −4.39360e8 | − | 4.39360e8i | −0.0327081 | − | 0.0327081i | ||||
\(784\) | −1.15078e9 | + | 7.85374e9i | −0.0852878 | + | 0.582063i | ||||
\(785\) | −5.72508e9 | + | 1.26674e9i | −0.422413 | + | 0.0934636i | ||||
\(786\) | −4.34281e8 | + | 4.03785e8i | −0.0319001 | + | 0.0296600i | ||||
\(787\) | −9.43553e9 | + | 9.43553e9i | −0.690009 | + | 0.690009i | −0.962234 | − | 0.272225i | \(-0.912241\pi\) |
0.272225 | + | 0.962234i | \(0.412241\pi\) | |||||||
\(788\) | 1.49661e10 | + | 1.73188e10i | 1.08960 | + | 1.26089i | ||||
\(789\) | − | 3.33881e8i | − | 0.0242004i | ||||||
\(790\) | 9.04028e8 | − | 1.31009e9i | 0.0652360 | − | 0.0945378i | ||||
\(791\) | − | 6.63376e9i | − | 0.476587i | ||||||
\(792\) | 2.43810e10 | + | 2.67103e9i | 1.74387 | + | 0.191047i | ||||
\(793\) | 2.93185e9 | − | 2.93185e9i | 0.208779 | − | 0.208779i | ||||
\(794\) | 8.33840e8 | + | 8.96817e8i | 0.0591168 | + | 0.0635817i | ||||
\(795\) | 3.01889e8 | − | 4.73439e8i | 0.0213090 | − | 0.0334179i | ||||
\(796\) | 5.40049e9 | + | 3.93556e8i | 0.379522 | + | 0.0276574i | ||||
\(797\) | −3.20198e8 | − | 3.20198e8i | −0.0224034 | − | 0.0224034i | 0.695816 | − | 0.718220i | \(-0.255043\pi\) |
−0.718220 | + | 0.695816i | \(0.755043\pi\) | |||||||
\(798\) | 9.18980e8 | + | 3.34407e7i | 0.0640171 | + | 0.00232951i | ||||
\(799\) | 3.31123e10 | 2.29655 | ||||||||
\(800\) | 3.63386e9 | + | 1.40182e10i | 0.250931 | + | 0.968005i | ||||
\(801\) | 1.87405e10 | 1.28845 | ||||||||
\(802\) | −9.32760e9 | − | 3.39421e8i | −0.638498 | − | 0.0232342i | ||||
\(803\) | −4.98301e9 | − | 4.98301e9i | −0.339616 | − | 0.339616i | ||||
\(804\) | −1.43044e9 | − | 1.04242e8i | −0.0970673 | − | 0.00707370i | ||||
\(805\) | −8.98870e8 | + | 1.40966e9i | −0.0607311 | + | 0.0952419i | ||||
\(806\) | −4.91993e9 | − | 5.29151e9i | −0.330968 | − | 0.355965i | ||||
\(807\) | −2.44097e8 | + | 2.44097e8i | −0.0163495 | + | 0.0163495i | ||||
\(808\) | −1.96032e10 | − | 2.14760e9i | −1.30734 | − | 0.143223i | ||||
\(809\) | 1.99620e10i | 1.32552i | 0.748834 | + | 0.662758i | \(0.230614\pi\) | ||||
−0.748834 | + | 0.662758i | \(0.769386\pi\) | |||||||
\(810\) | −8.40159e9 | + | 1.21753e10i | −0.555475 | + | 0.804975i | ||||
\(811\) | − | 9.87181e9i | − | 0.649866i | −0.945737 | − | 0.324933i | \(-0.894658\pi\) | ||
0.945737 | − | 0.324933i | \(-0.105342\pi\) | |||||||
\(812\) | 1.73397e9 | + | 2.00656e9i | 0.113657 | + | 0.131524i | ||||
\(813\) | 4.52792e8 | − | 4.52792e8i | 0.0295516 | − | 0.0295516i | ||||
\(814\) | −7.39552e9 | + | 6.87619e9i | −0.480599 | + | 0.446851i | ||||
\(815\) | 1.76004e10 | − | 3.89429e9i | 1.13886 | − | 0.251986i | ||||
\(816\) | −2.50171e8 | + | 1.70734e9i | −0.0161184 | + | 0.110003i | ||||
\(817\) | −8.72340e9 | − | 8.72340e9i | −0.559640 | − | 0.559640i | ||||
\(818\) | 2.76990e8 | − | 7.61195e9i | 0.0176941 | − | 0.486250i | ||||
\(819\) | 4.00222e9 | 0.254570 | ||||||||
\(820\) | −1.12014e9 | + | 1.50323e9i | −0.0709450 | + | 0.0952088i | ||||
\(821\) | −1.10174e10 | −0.694827 | −0.347413 | − | 0.937712i | \(-0.612940\pi\) | ||||
−0.347413 | + | 0.937712i | \(0.612940\pi\) | |||||||
\(822\) | 7.12971e7 | − | 1.95931e9i | 0.00447734 | − | 0.123042i | ||||
\(823\) | −1.60177e10 | − | 1.60177e10i | −1.00162 | − | 1.00162i | −0.999999 | − | 0.00161632i | \(-0.999486\pi\) |
−0.00161632 | − | 0.999999i | \(-0.500514\pi\) | |||||||
\(824\) | −7.03082e9 | − | 8.76086e9i | −0.437785 | − | 0.545508i | ||||
\(825\) | 2.29438e9 | + | 8.37234e8i | 0.142258 | + | 0.0519109i | ||||
\(826\) | 4.14239e9 | − | 3.85150e9i | 0.255753 | − | 0.237794i | ||||
\(827\) | 7.73791e8 | − | 7.73791e8i | 0.0475724 | − | 0.0475724i | −0.682920 | − | 0.730493i | \(-0.739290\pi\) |
0.730493 | + | 0.682920i | \(0.239290\pi\) | |||||||
\(828\) | 2.15974e9 | − | 1.86634e9i | 0.132219 | − | 0.114257i | ||||
\(829\) | − | 1.26868e10i | − | 0.773410i | −0.922203 | − | 0.386705i | \(-0.873613\pi\) | ||
0.922203 | − | 0.386705i | \(-0.126387\pi\) | |||||||
\(830\) | 1.85688e10 | − | 3.40544e9i | 1.12723 | − | 0.206728i | ||||
\(831\) | − | 2.43343e8i | − | 0.0147101i | ||||||
\(832\) | −5.59998e9 | + | 3.56702e9i | −0.337097 | + | 0.214721i | ||||
\(833\) | 9.00381e9 | − | 9.00381e9i | 0.539720 | − | 0.539720i | ||||
\(834\) | −1.21701e7 | − | 1.30893e7i | −0.000726464 | − | 0.000781331i | ||||
\(835\) | −2.81645e9 | − | 1.27291e10i | −0.167417 | − | 0.756649i | ||||
\(836\) | 2.52822e9 | − | 3.46929e10i | 0.149656 | − | 2.05361i | ||||
\(837\) | 2.49089e9 | + | 2.49089e9i | 0.146830 | + | 0.146830i | ||||
\(838\) | −2.25572e9 | − | 8.20832e7i | −0.132413 | − | 0.00481837i | ||||
\(839\) | −1.30733e10 | −0.764222 | −0.382111 | − | 0.924117i | \(-0.624803\pi\) | ||||
−0.382111 | + | 0.924117i | \(0.624803\pi\) | |||||||
\(840\) | −5.91507e8 | + | 7.36326e8i | −0.0344336 | + | 0.0428640i | ||||
\(841\) | 1.59839e10 | 0.926609 | ||||||||
\(842\) | 5.68354e9 | + | 2.06818e8i | 0.328115 | + | 0.0119398i | ||||
\(843\) | −1.55942e9 | − | 1.55942e9i | −0.0896531 | − | 0.0896531i | ||||
\(844\) | −5.53473e8 | + | 7.59490e9i | −0.0316882 | + | 0.434834i | ||||
\(845\) | −1.24259e10 | − | 7.92339e9i | −0.708482 | − | 0.451765i | ||||
\(846\) | −2.10703e10 | − | 2.26616e10i | −1.19639 | − | 1.28675i | ||||
\(847\) | −1.70366e10 | + | 1.70366e10i | −0.963365 | + | 0.963365i | ||||
\(848\) | 6.58854e9 | − | 4.90451e9i | 0.371026 | − | 0.276191i | ||||
\(849\) | − | 1.94605e9i | − | 0.109138i | ||||||
\(850\) | 8.75183e9 | − | 2.15193e10i | 0.488802 | − | 1.20188i | ||||
\(851\) | 1.17523e9i | 0.0653687i | ||||||||
\(852\) | −1.92397e9 | + | 1.66260e9i | −0.106576 | + | 0.0920978i | ||||
\(853\) | −3.67214e9 | + | 3.67214e9i | −0.202581 | + | 0.202581i | −0.801105 | − | 0.598524i | \(-0.795754\pi\) |
0.598524 | + | 0.801105i | \(0.295754\pi\) | |||||||
\(854\) | 6.31859e9 | − | 5.87488e9i | 0.347150 | − | 0.322773i | ||||
\(855\) | 1.78222e10 | + | 1.13643e10i | 0.975167 | + | 0.621817i | ||||
\(856\) | −1.69951e10 | + | 1.36390e10i | −0.926116 | + | 0.743233i | ||||
\(857\) | 1.10924e10 | + | 1.10924e10i | 0.601995 | + | 0.601995i | 0.940842 | − | 0.338847i | \(-0.110037\pi\) |
−0.338847 | + | 0.940842i | \(0.610037\pi\) | |||||||
\(858\) | −4.07206e7 | + | 1.11904e9i | −0.00220094 | + | 0.0604839i | ||||
\(859\) | −7.53633e9 | −0.405680 | −0.202840 | − | 0.979212i | \(-0.565017\pi\) | ||||
−0.202840 | + | 0.979212i | \(0.565017\pi\) | |||||||
\(860\) | 1.25378e10 | − | 1.83092e9i | 0.672166 | − | 0.0981579i | ||||
\(861\) | −1.22266e8 | −0.00652824 | ||||||||
\(862\) | 2.17327e8 | − | 5.97234e9i | 0.0115568 | − | 0.317592i | ||||
\(863\) | −8.38017e9 | − | 8.38017e9i | −0.443828 | − | 0.443828i | 0.449468 | − | 0.893296i | \(-0.351614\pi\) |
−0.893296 | + | 0.449468i | \(0.851614\pi\) | |||||||
\(864\) | 2.66517e9 | − | 1.83720e9i | 0.140581 | − | 0.0969077i | ||||
\(865\) | 5.01306e9 | + | 2.26568e10i | 0.263358 | + | 1.19026i | ||||
\(866\) | −1.33589e10 | + | 1.24208e10i | −0.698969 | + | 0.649886i | ||||
\(867\) | 7.94655e8 | − | 7.94655e8i | 0.0414106 | − | 0.0414106i | ||||
\(868\) | −9.83050e9 | − | 1.13759e10i | −0.510219 | − | 0.590427i | ||||
\(869\) | − | 3.92688e9i | − | 0.202992i | ||||||
\(870\) | −8.13317e7 | − | 4.43477e8i | −0.00418738 | − | 0.0228325i | ||||
\(871\) | 8.85269e9i | 0.453954i | ||||||||
\(872\) | 2.53405e9 | − | 2.31307e10i | 0.129422 | − | 1.18136i | ||||
\(873\) | −6.95336e9 | + | 6.95336e9i | −0.353708 | + | 0.353708i | ||||
\(874\) | −2.75655e9 | − | 2.96474e9i | −0.139661 | − | 0.150209i | ||||
\(875\) | 1.00974e10 | − | 7.72813e9i | 0.509543 | − | 0.389983i | ||||
\(876\) | −4.62093e8 | − | 3.36747e7i | −0.0232255 | − | 0.00169254i | ||||
\(877\) | 2.03754e10 | + | 2.03754e10i | 1.02002 | + | 1.02002i | 0.999795 | + | 0.0202244i | \(0.00643806\pi\) |
0.0202244 | + | 0.999795i | \(0.493562\pi\) | |||||||
\(878\) | 5.52513e9 | + | 2.01053e8i | 0.275494 | + | 0.0100249i | ||||
\(879\) | 2.78619e9 | 0.138373 | ||||||||
\(880\) | 2.70206e10 | + | 2.33728e10i | 1.33661 | + | 1.15617i | ||||
\(881\) | 3.11896e10 | 1.53672 | 0.768359 | − | 0.640019i | \(-0.221073\pi\) | ||||
0.768359 | + | 0.640019i | \(0.221073\pi\) | |||||||
\(882\) | −1.18915e10 | − | 4.32717e8i | −0.583573 | − | 0.0212356i | ||||
\(883\) | −3.04851e9 | − | 3.04851e9i | −0.149014 | − | 0.149014i | 0.628664 | − | 0.777677i | \(-0.283602\pi\) |
−0.777677 | + | 0.628664i | \(0.783602\pi\) | |||||||
\(884\) | 1.06228e10 | + | 7.74129e8i | 0.517197 | + | 0.0376904i | ||||
\(885\) | −9.38942e8 | + | 2.07751e8i | −0.0455341 | + | 0.0100749i | ||||
\(886\) | 9.29512e9 | + | 9.99714e9i | 0.448990 | + | 0.482901i | ||||
\(887\) | −2.64384e10 | + | 2.64384e10i | −1.27205 | + | 1.27205i | −0.327034 | + | 0.945012i | \(0.606049\pi\) |
−0.945012 | + | 0.327034i | \(0.893951\pi\) | |||||||
\(888\) | −7.23031e7 | + | 6.59979e8i | −0.00346507 | + | 0.0316289i | ||||
\(889\) | − | 1.75949e10i | − | 0.839905i | ||||||
\(890\) | 2.24680e10 | + | 1.55041e10i | 1.06832 | + | 0.737194i | ||||
\(891\) | 3.64945e10i | 1.72844i | ||||||||
\(892\) | −1.74610e10 | − | 2.02060e10i | −0.823746 | − | 0.953242i | ||||
\(893\) | −3.10316e10 | + | 3.10316e10i | −1.45822 | + | 1.45822i | ||||
\(894\) | 9.17925e8 | − | 8.53466e8i | 0.0429661 | − | 0.0399489i | ||||
\(895\) | −1.28767e10 | + | 2.01940e10i | −0.600377 | + | 0.941545i | ||||
\(896\) | −1.19150e10 | + | 6.99380e9i | −0.553369 | + | 0.324815i | ||||
\(897\) | 9.21494e7 | + | 9.21494e7i | 0.00426304 | + | 0.00426304i | ||||
\(898\) | −5.50751e8 | + | 1.51352e10i | −0.0253798 | + | 0.697461i | ||||
\(899\) | 7.17728e9 | 0.329459 | ||||||||
\(900\) | −2.02966e10 | + | 7.70372e9i | −0.928056 | + | 0.352250i | ||||
\(901\) | −1.31760e10 | −0.600134 | ||||||||
\(902\) | −1.68184e8 | + | 4.62187e9i | −0.00763068 | + | 0.209698i | ||||
\(903\) | 5.84345e8 | + | 5.84345e8i | 0.0264096 | + | 0.0264096i | ||||
\(904\) | −1.28669e10 | + | 1.03260e10i | −0.579272 | + | 0.464882i | ||||
\(905\) | −1.14328e10 | + | 1.79296e10i | −0.512723 | + | 0.804081i | ||||
\(906\) | 7.67820e8 | − | 7.13902e8i | 0.0343013 | − | 0.0318926i | ||||
\(907\) | −7.63813e9 | + | 7.63813e9i | −0.339908 | + | 0.339908i | −0.856333 | − | 0.516424i | \(-0.827263\pi\) |
0.516424 | + | 0.856333i | \(0.327263\pi\) | |||||||
\(908\) | 2.26518e10 | − | 1.95746e10i | 1.00416 | − | 0.867744i | ||||
\(909\) | − | 2.95632e10i | − | 1.30550i | ||||||
\(910\) | 4.79826e9 | + | 3.31105e9i | 0.211076 | + | 0.145653i | ||||
\(911\) | − | 1.41412e10i | − | 0.619685i | −0.950788 | − | 0.309843i | \(-0.899724\pi\) | ||
0.950788 | − | 0.309843i | \(-0.100276\pi\) | |||||||
\(912\) | −1.36561e9 | − | 1.83451e9i | −0.0596134 | − | 0.0800826i | ||||
\(913\) | 3.29330e10 | − | 3.29330e10i | 1.43214 | − | 1.43214i | ||||
\(914\) | 3.52450e8 | + | 3.79069e8i | 0.0152681 | + | 0.0164213i | ||||
\(915\) | −1.43221e9 | + | 3.16893e8i | −0.0618064 | + | 0.0136754i | ||||
\(916\) | 3.50127e8 | − | 4.80454e9i | 0.0150519 | − | 0.206546i | ||||
\(917\) | 5.38560e9 | + | 5.38560e9i | 0.230644 | + | 0.230644i | ||||
\(918\) | −5.18934e9 | − | 1.88834e8i | −0.221393 | − | 0.00805622i | ||||
\(919\) | 3.28770e10 | 1.39729 | 0.698647 | − | 0.715467i | \(-0.253786\pi\) | ||||
0.698647 | + | 0.715467i | \(0.253786\pi\) | |||||||
\(920\) | 4.13334e9 | − | 4.50797e8i | 0.175002 | − | 0.0190864i | ||||
\(921\) | −1.24170e7 | −0.000523731 | ||||||||
\(922\) | 7.04765e9 | + | 2.56456e8i | 0.296133 | + | 0.0107759i | ||||
\(923\) | 1.10983e10 | + | 1.10983e10i | 0.464568 | + | 0.464568i | ||||
\(924\) | −1.69355e8 | + | 2.32394e9i | −0.00706231 | + | 0.0969110i | ||||
\(925\) | 3.06402e9 | − | 8.39672e9i | 0.127290 | − | 0.348830i | ||||
\(926\) | −8.91129e9 | − | 9.58433e9i | −0.368810 | − | 0.396664i | ||||
\(927\) | 1.19075e10 | − | 1.19075e10i | 0.490957 | − | 0.490957i | ||||
\(928\) | 1.19286e9 | − | 6.48658e9i | 0.0489971 | − | 0.266439i | ||||
\(929\) | 1.07291e10i | 0.439046i | 0.975607 | + | 0.219523i | \(0.0704501\pi\) | ||||
−0.975607 | + | 0.219523i | \(0.929550\pi\) | |||||||
\(930\) | 4.61099e8 | + | 2.51423e9i | 0.0187977 | + | 0.102498i | ||||
\(931\) | 1.68761e10i | 0.685406i | ||||||||
\(932\) | 3.11088e9 | − | 2.68827e9i | 0.125872 | − | 0.108772i | ||||
\(933\) | −1.20635e9 | + | 1.20635e9i | −0.0486280 | + | 0.0486280i | ||||
\(934\) | −3.53113e10 | + | 3.28317e10i | −1.41808 | + | 1.31850i | ||||
\(935\) | −1.23815e10 | − | 5.59586e10i | −0.495372 | − | 2.23886i | ||||
\(936\) | −6.22978e9 | − | 7.76271e9i | −0.248318 | − | 0.309420i | ||||
\(937\) | −5.62209e7 | − | 5.62209e7i | −0.00223259 | − | 0.00223259i | 0.705990 | − | 0.708222i | \(-0.250503\pi\) |
−0.708222 | + | 0.705990i | \(0.750503\pi\) | |||||||
\(938\) | −6.69883e8 | + | 1.84090e10i | −0.0265026 | + | 0.728317i | ||||
\(939\) | −2.52052e9 | −0.0993483 | ||||||||
\(940\) | −6.51311e9 | − | 4.46005e10i | −0.255765 | − | 1.75143i | ||||
\(941\) | −9.09097e9 | −0.355669 | −0.177835 | − | 0.984060i | \(-0.556909\pi\) | ||||
−0.177835 | + | 0.984060i | \(0.556909\pi\) | |||||||
\(942\) | −3.45854e7 | + | 9.50438e8i | −0.00134808 | + | 0.0370464i | ||||
\(943\) | 3.80597e8 | + | 3.80597e8i | 0.0147800 | + | 0.0147800i | ||||
\(944\) | −1.39184e10 | − | 2.03941e9i | −0.538500 | − | 0.0789046i | ||||
\(945\) | −2.39650e9 | − | 1.52813e9i | −0.0923775 | − | 0.0589046i | ||||
\(946\) | 2.28930e10 | − | 2.12854e10i | 0.879191 | − | 0.817452i | ||||
\(947\) | 8.98425e8 | − | 8.98425e8i | 0.0343761 | − | 0.0343761i | −0.689710 | − | 0.724086i | \(-0.742262\pi\) |
0.724086 | + | 0.689710i | \(0.242262\pi\) | |||||||
\(948\) | −1.68808e8 | − | 1.95346e8i | −0.00643523 | − | 0.00744688i | ||||
\(949\) | 2.85980e9i | 0.108619i | ||||||||
\(950\) | 1.19653e10 | + | 2.83691e10i | 0.452782 | + | 1.07353i | ||||
\(951\) | 3.02529e9i | 0.114060i | ||||||||
\(952\) | 2.20313e10 | + | 2.41361e9i | 0.827583 | + | 0.0906647i | ||||
\(953\) | −1.00058e10 | + | 1.00058e10i | −0.374480 | + | 0.374480i | −0.869106 | − | 0.494626i | \(-0.835305\pi\) |
0.494626 | + | 0.869106i | \(0.335305\pi\) | |||||||
\(954\) | 8.38428e9 | + | 9.01752e9i | 0.312642 | + | 0.336254i | ||||
\(955\) | −1.71440e10 | − | 1.09319e10i | −0.636941 | − | 0.406147i | ||||
\(956\) | 2.54583e10 | + | 1.85525e9i | 0.942381 | + | 0.0686753i | ||||
\(957\) | −7.86535e8 | − | 7.86535e8i | −0.0290086 | − | 0.0290086i | ||||
\(958\) | −2.96566e10 | − | 1.07917e9i | −1.08979 | − | 0.0396561i | ||||
\(959\) | −2.51819e10 | −0.921986 | ||||||||
\(960\) | 2.34891e9 | + | 1.13706e6i | 0.0856874 | + | 4.14797e-5i | ||||
\(961\) | −1.31780e10 | −0.478980 | ||||||||
\(962\) | 4.09534e9 | + | 1.49025e8i | 0.148312 | + | 0.00539691i | ||||
\(963\) | −2.30993e10 | − | 2.30993e10i | −0.833503 | − | 0.833503i | ||||
\(964\) | −2.11319e10 | − | 1.53997e9i | −0.759747 | − | 0.0553660i | ||||
\(965\) | −7.89423e9 | − | 3.56783e10i | −0.282790 | − | 1.27808i | ||||
\(966\) | 1.84650e8 | + | 1.98596e8i | 0.00659067 | + | 0.00708844i | ||||
\(967\) | 2.63538e10 | − | 2.63538e10i | 0.937241 | − | 0.937241i | −0.0609028 | − | 0.998144i | \(-0.519398\pi\) |
0.998144 | + | 0.0609028i | \(0.0193980\pi\) | |||||||
\(968\) | 5.95631e10 | + | 6.52535e9i | 2.11064 | + | 0.231228i | ||||
\(969\) | 3.66873e9i | 0.129534i | ||||||||
\(970\) | −1.40889e10 | + | 2.58385e9i | −0.495652 | + | 0.0909004i | ||||
\(971\) | − | 5.07351e10i | − | 1.77845i | −0.457471 | − | 0.889225i | \(-0.651245\pi\) | ||
0.457471 | − | 0.889225i | \(-0.348755\pi\) | |||||||
\(972\) | 4.76518e9 | + | 5.51428e9i | 0.166436 | + | 0.192600i | ||||
\(973\) | −1.62323e8 | + | 1.62323e8i | −0.00564917 | + | 0.00564917i | ||||
\(974\) | 3.39284e9 | − | 3.15458e9i | 0.117654 | − | 0.109392i | ||||
\(975\) | −4.18135e8 | − | 8.98632e8i | −0.0144477 | − | 0.0310503i | ||||
\(976\) | −2.12303e10 | − | 3.11081e9i | −0.730941 | − | 0.107102i | ||||
\(977\) | −2.06830e10 | − | 2.06830e10i | −0.709550 | − | 0.709550i | 0.256891 | − | 0.966440i | \(-0.417302\pi\) |
−0.966440 | + | 0.256891i | \(0.917302\pi\) | |||||||
\(978\) | 1.06325e8 | − | 2.92190e9i | 0.00363453 | − | 0.0998803i | ||||
\(979\) | 6.73460e10 | 2.29389 | ||||||||
\(980\) | −1.38987e10 | − | 1.03566e10i | −0.471718 | − | 0.351502i | ||||
\(981\) | 3.48829e10 | 1.17970 | ||||||||
\(982\) | 1.94200e9 | − | 5.33679e10i | 0.0654422 | − | 1.79841i | ||||
\(983\) | 2.03885e10 | + | 2.03885e10i | 0.684618 | + | 0.684618i | 0.961037 | − | 0.276419i | \(-0.0891478\pi\) |
−0.276419 | + | 0.961037i | \(0.589148\pi\) | |||||||
\(984\) | 1.90318e8 | + | 2.37148e8i | 0.00636790 | + | 0.00793482i | ||||
\(985\) | −4.88023e10 | + | 1.07980e10i | −1.62710 | + | 0.360013i | ||||
\(986\) | −7.74837e9 | + | 7.20426e9i | −0.257419 | + | 0.239343i | ||||
\(987\) | 2.07868e9 | − | 2.07868e9i | 0.0688142 | − | 0.0688142i | ||||
\(988\) | −1.06808e10 | + | 9.22982e9i | −0.352334 | + | 0.304470i | ||||
\(989\) | − | 3.63795e9i | − | 0.119583i | ||||||
\(990\) | −3.04187e10 | + | 4.40817e10i | −0.996362 | + | 1.44389i | ||||
\(991\) | 2.19271e10i | 0.715688i | 0.933781 | + | 0.357844i | \(0.116488\pi\) | ||||
−0.933781 | + | 0.357844i | \(0.883512\pi\) | |||||||
\(992\) | −6.76273e9 | + | 3.67748e10i | −0.219954 | + | 1.19608i | ||||
\(993\) | −1.84687e9 | + | 1.84687e9i | −0.0598570 | + | 0.0598570i | ||||
\(994\) | 2.22389e10 | + | 2.39185e10i | 0.718224 | + | 0.772469i | ||||
\(995\) | −6.35720e9 | + | 9.96972e9i | −0.204590 | + | 0.320850i | ||||
\(996\) | 2.22558e8 | − | 3.05400e9i | 0.00713732 | − | 0.0979403i | ||||
\(997\) | 7.81273e9 | + | 7.81273e9i | 0.249672 | + | 0.249672i | 0.820836 | − | 0.571164i | \(-0.193508\pi\) |
−0.571164 | + | 0.820836i | \(0.693508\pi\) | |||||||
\(998\) | 1.92362e10 | + | 6.99982e8i | 0.612578 | + | 0.0222910i | ||||
\(999\) | −1.99796e9 | −0.0634028 |
(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 | 20.8.e.b.7.1 | yes | 36 | |
4.3 | odd | 2 | inner | 20.8.e.b.7.8 | yes | 36 | |
5.2 | odd | 4 | 100.8.e.e.43.11 | 36 | |||
5.3 | odd | 4 | inner | 20.8.e.b.3.8 | yes | 36 | |
5.4 | even | 2 | 100.8.e.e.7.18 | 36 | |||
20.3 | even | 4 | inner | 20.8.e.b.3.1 | ✓ | 36 | |
20.7 | even | 4 | 100.8.e.e.43.18 | 36 | |||
20.19 | odd | 2 | 100.8.e.e.7.11 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
20.8.e.b.3.1 | ✓ | 36 | 20.3 | even | 4 | inner | |
20.8.e.b.3.8 | yes | 36 | 5.3 | odd | 4 | inner | |
20.8.e.b.7.1 | yes | 36 | 1.1 | even | 1 | trivial | |
20.8.e.b.7.8 | yes | 36 | 4.3 | odd | 2 | inner | |
100.8.e.e.7.11 | 36 | 20.19 | odd | 2 | |||
100.8.e.e.7.18 | 36 | 5.4 | even | 2 | |||
100.8.e.e.43.11 | 36 | 5.2 | odd | 4 | |||
100.8.e.e.43.18 | 36 | 20.7 | even | 4 |