Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,7,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
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("43.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), 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: | \(9.89232559565\) |
Analytic rank: | \(0\) |
Dimension: | \(252\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 19.8 | ||
Character | \(\chi\) | \(=\) | 43.19 |
Dual form | 43.7.h.a.34.8 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{19}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.38443 | − | 2.69899i | −0.423054 | − | 0.337374i | 0.388710 | − | 0.921360i | \(-0.372921\pi\) |
−0.811764 | + | 0.583986i | \(0.801492\pi\) | |||||||
\(3\) | 4.57117 | + | 30.3277i | 0.169303 | + | 1.12325i | 0.898509 | + | 0.438955i | \(0.144651\pi\) |
−0.729206 | + | 0.684294i | \(0.760111\pi\) | |||||||
\(4\) | −10.0715 | − | 44.1263i | −0.157368 | − | 0.689473i | ||||
\(5\) | 1.30105 | + | 1.90829i | 0.0104084 | + | 0.0152663i | 0.831408 | − | 0.555663i | \(-0.187535\pi\) |
−0.820999 | + | 0.570929i | \(0.806583\pi\) | |||||||
\(6\) | 66.3835 | − | 114.980i | 0.307331 | − | 0.532313i | ||||
\(7\) | −187.206 | + | 108.083i | −0.545790 | + | 0.315112i | −0.747422 | − | 0.664349i | \(-0.768709\pi\) |
0.201632 | + | 0.979461i | \(0.435375\pi\) | |||||||
\(8\) | −205.216 | + | 426.135i | −0.400812 | + | 0.832296i | ||||
\(9\) | −202.263 | + | 62.3898i | −0.277453 | + | 0.0855828i | ||||
\(10\) | 0.747147 | − | 9.96998i | 0.000747147 | − | 0.00996998i | ||||
\(11\) | 409.987 | − | 1796.27i | 0.308029 | − | 1.34956i | −0.549657 | − | 0.835391i | \(-0.685241\pi\) |
0.857686 | − | 0.514174i | \(-0.171901\pi\) | |||||||
\(12\) | 1292.21 | − | 507.156i | 0.747807 | − | 0.293493i | ||||
\(13\) | −136.180 | − | 1817.20i | −0.0619846 | − | 0.827127i | −0.938396 | − | 0.345563i | \(-0.887688\pi\) |
0.876411 | − | 0.481564i | \(-0.159931\pi\) | |||||||
\(14\) | 925.302 | + | 139.467i | 0.337209 | + | 0.0508261i | ||||
\(15\) | −51.9267 | + | 48.1809i | −0.0153857 | + | 0.0142758i | ||||
\(16\) | −765.169 | + | 368.486i | −0.186809 | + | 0.0899624i | ||||
\(17\) | −6610.56 | − | 4507.00i | −1.34552 | − | 0.917363i | −0.345744 | − | 0.938329i | \(-0.612373\pi\) |
−0.999780 | + | 0.0209664i | \(0.993326\pi\) | |||||||
\(18\) | 852.934 | + | 334.752i | 0.146251 | + | 0.0573992i | ||||
\(19\) | 1503.43 | − | 4874.00i | 0.219191 | − | 0.710599i | −0.777468 | − | 0.628923i | \(-0.783496\pi\) |
0.996659 | − | 0.0816769i | \(-0.0260275\pi\) | |||||||
\(20\) | 71.1020 | − | 76.6298i | 0.00888775 | − | 0.00957872i | ||||
\(21\) | −4133.68 | − | 5183.46i | −0.446353 | − | 0.559709i | ||||
\(22\) | −6235.69 | + | 4972.80i | −0.585621 | + | 0.467017i | ||||
\(23\) | −5848.05 | − | 5426.20i | −0.480648 | − | 0.445977i | 0.402257 | − | 0.915527i | \(-0.368226\pi\) |
−0.882906 | + | 0.469550i | \(0.844416\pi\) | |||||||
\(24\) | −13861.8 | − | 4275.80i | −1.00273 | − | 0.309302i | ||||
\(25\) | 5706.50 | − | 14539.9i | 0.365216 | − | 0.930556i | ||||
\(26\) | −4443.71 | + | 6517.73i | −0.252828 | + | 0.370831i | ||||
\(27\) | 6884.33 | + | 14295.5i | 0.349760 | + | 0.726285i | ||||
\(28\) | 6654.77 | + | 7172.14i | 0.303151 | + | 0.326719i | ||||
\(29\) | −1467.17 | + | 9734.05i | −0.0601571 | + | 0.399116i | 0.938406 | + | 0.345534i | \(0.112302\pi\) |
−0.998563 | + | 0.0535826i | \(0.982936\pi\) | |||||||
\(30\) | 305.782 | − | 22.9152i | 0.0113253 | − | 0.000848711i | ||||
\(31\) | −8522.42 | − | 21714.8i | −0.286074 | − | 0.728904i | −0.999600 | − | 0.0282755i | \(-0.990998\pi\) |
0.713527 | − | 0.700628i | \(-0.247097\pi\) | |||||||
\(32\) | 33095.6 | + | 7553.86i | 1.01000 | + | 0.230526i | ||||
\(33\) | 56350.9 | + | 4222.92i | 1.56805 | + | 0.117509i | ||||
\(34\) | 10208.6 | + | 33095.5i | 0.259735 | + | 0.842039i | ||||
\(35\) | −449.818 | − | 216.621i | −0.0104914 | − | 0.00505238i | ||||
\(36\) | 4790.13 | + | 8296.75i | 0.102669 | + | 0.177828i | ||||
\(37\) | 18502.8 | + | 10682.6i | 0.365286 | + | 0.210898i | 0.671397 | − | 0.741098i | \(-0.265695\pi\) |
−0.306111 | + | 0.951996i | \(0.599028\pi\) | |||||||
\(38\) | −18243.1 | + | 12438.0i | −0.332467 | + | 0.226672i | ||||
\(39\) | 54489.0 | − | 12436.8i | 0.918576 | − | 0.209659i | ||||
\(40\) | −1080.18 | + | 162.812i | −0.0168779 | + | 0.00254393i | ||||
\(41\) | −30301.8 | + | 37997.3i | −0.439660 | + | 0.551316i | −0.951454 | − | 0.307792i | \(-0.900410\pi\) |
0.511794 | + | 0.859108i | \(0.328981\pi\) | |||||||
\(42\) | 28699.8i | 0.387375i | ||||||||
\(43\) | −79370.5 | − | 4657.00i | −0.998283 | − | 0.0585735i | ||||
\(44\) | −83391.9 | −0.978963 | ||||||||
\(45\) | −382.211 | − | 304.803i | −0.00419436 | − | 0.00334489i | ||||
\(46\) | 5147.05 | + | 34148.4i | 0.0528792 | + | 0.350830i | ||||
\(47\) | 28951.2 | + | 126843.i | 0.278851 | + | 1.22173i | 0.899248 | + | 0.437440i | \(0.144115\pi\) |
−0.620396 | + | 0.784288i | \(0.713028\pi\) | |||||||
\(48\) | −14673.1 | − | 21521.4i | −0.132677 | − | 0.194602i | ||||
\(49\) | −35460.4 | + | 61419.3i | −0.301409 | + | 0.522055i | ||||
\(50\) | −58556.4 | + | 33807.6i | −0.468452 | + | 0.270461i | ||||
\(51\) | 106469. | − | 221085.i | 0.802626 | − | 1.66667i | ||||
\(52\) | −78814.7 | + | 24311.1i | −0.560528 | + | 0.172900i | ||||
\(53\) | 1023.62 | − | 13659.3i | 0.00687564 | − | 0.0917490i | −0.992710 | − | 0.120525i | \(-0.961542\pi\) |
0.999586 | + | 0.0287765i | \(0.00916110\pi\) | |||||||
\(54\) | 15283.8 | − | 66962.7i | 0.0970622 | − | 0.425257i | ||||
\(55\) | 3961.21 | − | 1554.66i | 0.0238089 | − | 0.00934432i | ||||
\(56\) | −7640.51 | − | 101956.i | −0.0435069 | − | 0.580560i | ||||
\(57\) | 154690. | + | 23315.7i | 0.835290 | + | 0.125900i | ||||
\(58\) | 31237.7 | − | 28984.3i | 0.160101 | − | 0.148552i | ||||
\(59\) | 277089. | − | 133439.i | 1.34916 | − | 0.649721i | 0.386967 | − | 0.922094i | \(-0.373523\pi\) |
0.962192 | + | 0.272373i | \(0.0878084\pi\) | |||||||
\(60\) | 2649.03 | + | 1806.08i | 0.0122640 | + | 0.00836146i | ||||
\(61\) | −140617. | − | 55188.1i | −0.619510 | − | 0.243140i | 0.0347664 | − | 0.999395i | \(-0.488931\pi\) |
−0.654276 | + | 0.756256i | \(0.727027\pi\) | |||||||
\(62\) | −29764.5 | + | 96494.1i | −0.124889 | + | 0.404879i | ||||
\(63\) | 31121.5 | − | 33541.0i | 0.124463 | − | 0.134139i | ||||
\(64\) | −57733.2 | − | 72395.1i | −0.220235 | − | 0.276165i | ||||
\(65\) | 3290.56 | − | 2624.13i | 0.0119820 | − | 0.00955533i | ||||
\(66\) | −179318. | − | 166383.i | −0.623724 | − | 0.578731i | ||||
\(67\) | −84138.6 | − | 25953.3i | −0.279750 | − | 0.0862916i | 0.151705 | − | 0.988426i | \(-0.451524\pi\) |
−0.431456 | + | 0.902134i | \(0.642000\pi\) | |||||||
\(68\) | −132299. | + | 337092.i | −0.420755 | + | 1.07207i | ||||
\(69\) | 137832. | − | 202162.i | 0.419568 | − | 0.615393i | ||||
\(70\) | 937.719 | + | 1947.19i | 0.00273387 | + | 0.00567695i | ||||
\(71\) | −104837. | − | 112987.i | −0.292912 | − | 0.315685i | 0.569401 | − | 0.822060i | \(-0.307175\pi\) |
−0.862313 | + | 0.506376i | \(0.830985\pi\) | |||||||
\(72\) | 14921.1 | − | 98994.8i | 0.0399763 | − | 0.265225i | ||||
\(73\) | −279935. | + | 20978.3i | −0.719597 | + | 0.0539263i | −0.429495 | − | 0.903069i | \(-0.641308\pi\) |
−0.290102 | + | 0.956996i | \(0.593689\pi\) | |||||||
\(74\) | −33789.2 | − | 86093.5i | −0.0833841 | − | 0.212459i | ||||
\(75\) | 467049. | + | 106601.i | 1.10708 | + | 0.252683i | ||||
\(76\) | −230213. | − | 17252.1i | −0.524433 | − | 0.0393008i | ||||
\(77\) | 117395. | + | 380585.i | 0.257145 | + | 0.833643i | ||||
\(78\) | −217981. | − | 104974.i | −0.459340 | − | 0.221207i | ||||
\(79\) | −463634. | − | 803037.i | −0.940359 | − | 1.62875i | −0.764787 | − | 0.644283i | \(-0.777156\pi\) |
−0.175572 | − | 0.984467i | \(-0.556178\pi\) | |||||||
\(80\) | −1698.70 | − | 980.743i | −0.00331777 | − | 0.00191551i | ||||
\(81\) | −529572. | + | 361056.i | −0.996483 | + | 0.679391i | ||||
\(82\) | 205109. | − | 46814.7i | 0.372000 | − | 0.0849065i | ||||
\(83\) | 830201. | − | 125133.i | 1.45194 | − | 0.218845i | 0.624776 | − | 0.780804i | \(-0.285190\pi\) |
0.827165 | + | 0.561959i | \(0.189952\pi\) | |||||||
\(84\) | −187095. | + | 234609.i | −0.315663 | + | 0.395829i | ||||
\(85\) | − | 18478.7i | − | 0.0300894i | ||||||
\(86\) | 256055. | + | 229982.i | 0.402566 | + | 0.361575i | ||||
\(87\) | −301918. | −0.458492 | ||||||||
\(88\) | 681319. | + | 543333.i | 0.999775 | + | 0.797294i | ||||
\(89\) | −76959.9 | − | 510595.i | −0.109168 | − | 0.724281i | −0.974715 | − | 0.223453i | \(-0.928267\pi\) |
0.865547 | − | 0.500828i | \(-0.166971\pi\) | |||||||
\(90\) | 470.905 | + | 2063.17i | 0.000645961 | + | 0.00283014i | ||||
\(91\) | 221903. | + | 325472.i | 0.294468 | + | 0.431906i | ||||
\(92\) | −180539. | + | 312703.i | −0.231850 | + | 0.401576i | ||||
\(93\) | 619602. | − | 357728.i | 0.770308 | − | 0.444737i | ||||
\(94\) | 244366. | − | 507432.i | 0.294210 | − | 0.610934i | ||||
\(95\) | 11257.0 | − | 3472.33i | 0.0131296 | − | 0.00404996i | ||||
\(96\) | −77805.7 | + | 1.03825e6i | −0.0879423 | + | 1.17351i | ||||
\(97\) | −173282. | + | 759199.i | −0.189862 | + | 0.831841i | 0.786825 | + | 0.617176i | \(0.211723\pi\) |
−0.976688 | + | 0.214666i | \(0.931134\pi\) | |||||||
\(98\) | 285784. | − | 112162.i | 0.303640 | − | 0.119170i | ||||
\(99\) | 29143.9 | + | 388898.i | 0.0300360 | + | 0.400802i | ||||
\(100\) | −699067. | − | 105367.i | −0.699067 | − | 0.105367i | ||||
\(101\) | 374386. | − | 347379.i | 0.363375 | − | 0.337163i | −0.477262 | − | 0.878761i | \(-0.658371\pi\) |
0.840638 | + | 0.541598i | \(0.182180\pi\) | |||||||
\(102\) | −957046. | + | 460889.i | −0.901845 | + | 0.434306i | ||||
\(103\) | −385706. | − | 262970.i | −0.352975 | − | 0.240654i | 0.373831 | − | 0.927497i | \(-0.378044\pi\) |
−0.726806 | + | 0.686842i | \(0.758996\pi\) | |||||||
\(104\) | 802319. | + | 314887.i | 0.713259 | + | 0.279933i | ||||
\(105\) | 4513.43 | − | 14632.2i | 0.00389887 | − | 0.0126398i | ||||
\(106\) | −40330.8 | + | 43466.3i | −0.0338625 | + | 0.0364951i | ||||
\(107\) | 310616. | + | 389500.i | 0.253555 | + | 0.317948i | 0.892276 | − | 0.451490i | \(-0.149107\pi\) |
−0.638721 | + | 0.769439i | \(0.720536\pi\) | |||||||
\(108\) | 561470. | − | 447757.i | 0.445713 | − | 0.355444i | ||||
\(109\) | 32518.7 | + | 30173.0i | 0.0251104 | + | 0.0232991i | 0.692628 | − | 0.721295i | \(-0.256453\pi\) |
−0.667518 | + | 0.744594i | \(0.732643\pi\) | |||||||
\(110\) | −17602.5 | − | 5429.64i | −0.0132250 | − | 0.00407937i | ||||
\(111\) | −239400. | + | 609981.i | −0.175047 | + | 0.446013i | ||||
\(112\) | 103417. | − | 151685.i | 0.0736102 | − | 0.107966i | ||||
\(113\) | 711466. | + | 1.47737e6i | 0.493082 | + | 1.02389i | 0.987928 | + | 0.154914i | \(0.0495100\pi\) |
−0.494846 | + | 0.868980i | \(0.664776\pi\) | |||||||
\(114\) | −460608. | − | 496417.i | −0.310897 | − | 0.335067i | ||||
\(115\) | 2746.15 | − | 18219.5i | 0.00180564 | − | 0.0119796i | ||||
\(116\) | 444304. | − | 33296.0i | 0.284647 | − | 0.0213313i | ||||
\(117\) | 140919. | + | 359056.i | 0.0879856 | + | 0.224184i | ||||
\(118\) | −1.29794e6 | − | 296246.i | −0.789966 | − | 0.180305i | ||||
\(119\) | 1.72467e6 | + | 129246.i | 1.02345 | + | 0.0766966i | ||||
\(120\) | −9875.41 | − | 32015.3i | −0.00571494 | − | 0.0185274i | ||||
\(121\) | −1.46238e6 | − | 704244.i | −0.825474 | − | 0.397527i | ||||
\(122\) | 326956. | + | 566304.i | 0.180057 | + | 0.311868i | ||||
\(123\) | −1.29089e6 | − | 745293.i | −0.693701 | − | 0.400509i | ||||
\(124\) | −872358. | + | 594764.i | −0.457541 | + | 0.311946i | ||||
\(125\) | 70353.6 | − | 16057.7i | 0.0360210 | − | 0.00822157i | ||||
\(126\) | −195856. | + | 29520.5i | −0.0979094 | + | 0.0147575i | ||||
\(127\) | 703602. | − | 882289.i | 0.343492 | − | 0.430725i | −0.579839 | − | 0.814731i | \(-0.696885\pi\) |
0.923330 | + | 0.384006i | \(0.125456\pi\) | |||||||
\(128\) | − | 1.77175e6i | − | 0.844838i | ||||||
\(129\) | −221580. | − | 2.42841e6i | −0.103219 | − | 1.13124i | ||||
\(130\) | −18219.2 | −0.00829275 | ||||||||
\(131\) | 1.06261e6 | + | 847404.i | 0.472673 | + | 0.376944i | 0.830658 | − | 0.556783i | \(-0.187965\pi\) |
−0.357985 | + | 0.933727i | \(0.616536\pi\) | |||||||
\(132\) | −381199. | − | 2.52909e6i | −0.165741 | − | 1.09962i | ||||
\(133\) | 245348. | + | 1.07494e6i | 0.104286 | + | 0.456908i | ||||
\(134\) | 214713. | + | 314927.i | 0.0892369 | + | 0.130887i | ||||
\(135\) | −18323.0 | + | 31736.3i | −0.00744723 | + | 0.0128990i | ||||
\(136\) | 3.27719e6 | − | 1.89208e6i | 1.30282 | − | 0.752183i | ||||
\(137\) | −259958. | + | 539808.i | −0.101098 | + | 0.209932i | −0.945382 | − | 0.325963i | \(-0.894311\pi\) |
0.844285 | + | 0.535895i | \(0.180026\pi\) | |||||||
\(138\) | −1.01212e6 | + | 312196.i | −0.385117 | + | 0.118793i | ||||
\(139\) | 371179. | − | 4.95304e6i | 0.138210 | − | 1.84428i | −0.310463 | − | 0.950585i | \(-0.600484\pi\) |
0.448673 | − | 0.893696i | \(-0.351897\pi\) | |||||||
\(140\) | −5028.32 | + | 22030.5i | −0.00183248 | + | 0.00802861i | ||||
\(141\) | −3.71453e6 | + | 1.45785e6i | −1.32509 | + | 0.520061i | ||||
\(142\) | 49861.1 | + | 665350.i | 0.0174139 | + | 0.232373i | ||||
\(143\) | −3.32001e6 | − | 500411.i | −1.13535 | − | 0.171127i | ||||
\(144\) | 131775. | − | 122270.i | 0.0441313 | − | 0.0409479i | ||||
\(145\) | −20484.2 | + | 9864.68i | −0.00671916 | + | 0.00323578i | ||||
\(146\) | 1.00404e6 | + | 684544.i | 0.322621 | + | 0.219960i | ||||
\(147\) | −2.02480e6 | − | 794677.i | −0.637428 | − | 0.250172i | ||||
\(148\) | 285032. | − | 924051.i | 0.0879242 | − | 0.285043i | ||||
\(149\) | −2.85558e6 | + | 3.07759e6i | −0.863249 | + | 0.930362i | −0.998168 | − | 0.0604950i | \(-0.980732\pi\) |
0.134919 | + | 0.990857i | \(0.456923\pi\) | |||||||
\(150\) | −1.29298e6 | − | 1.62134e6i | −0.383105 | − | 0.480398i | ||||
\(151\) | 66402.5 | − | 52954.2i | 0.0192865 | − | 0.0153805i | −0.613799 | − | 0.789462i | \(-0.710360\pi\) |
0.633086 | + | 0.774082i | \(0.281788\pi\) | |||||||
\(152\) | 1.76846e6 | + | 1.64089e6i | 0.503574 | + | 0.467249i | ||||
\(153\) | 1.61826e6 | + | 499168.i | 0.451829 | + | 0.139371i | ||||
\(154\) | 629882. | − | 1.60491e6i | 0.172463 | − | 0.439430i | ||||
\(155\) | 30349.9 | − | 44515.2i | 0.00815009 | − | 0.0119540i | ||||
\(156\) | −1.09758e6 | − | 2.27914e6i | −0.289108 | − | 0.600340i | ||||
\(157\) | 3.05821e6 | + | 3.29596e6i | 0.790256 | + | 0.851694i | 0.991802 | − | 0.127785i | \(-0.0407869\pi\) |
−0.201546 | + | 0.979479i | \(0.564596\pi\) | |||||||
\(158\) | −598256. | + | 3.96917e6i | −0.151676 | + | 1.00630i | ||||
\(159\) | 418935. | − | 31394.9i | 0.104221 | − | 0.00781029i | ||||
\(160\) | 28644.1 | + | 72983.9i | 0.00699318 | + | 0.0178183i | ||||
\(161\) | 1.68127e6 | + | 383739.i | 0.402866 | + | 0.0919515i | ||||
\(162\) | 2.76679e6 | + | 207342.i | 0.650775 | + | 0.0487688i | ||||
\(163\) | −1.63012e6 | − | 5.28472e6i | −0.376407 | − | 1.22028i | −0.923627 | − | 0.383292i | \(-0.874790\pi\) |
0.547221 | − | 0.836988i | \(-0.315686\pi\) | |||||||
\(164\) | 1.98186e6 | + | 954415.i | 0.449306 | + | 0.216374i | ||||
\(165\) | 65256.7 | + | 113028.i | 0.0145269 | + | 0.0251613i | ||||
\(166\) | −3.14749e6 | − | 1.81720e6i | −0.688082 | − | 0.397264i | ||||
\(167\) | −6.98969e6 | + | 4.76549e6i | −1.50075 | + | 1.02319i | −0.514582 | + | 0.857441i | \(0.672053\pi\) |
−0.986167 | + | 0.165753i | \(0.946995\pi\) | |||||||
\(168\) | 3.05715e6 | − | 697775.i | 0.644747 | − | 0.147159i | ||||
\(169\) | 1.48923e6 | − | 224466.i | 0.308534 | − | 0.0465040i | ||||
\(170\) | −49873.8 | + | 62539.7i | −0.0101514 | + | 0.0127294i | ||||
\(171\) | 1.07963e6i | 0.215917i | ||||||||
\(172\) | 593887. | + | 3.54923e6i | 0.116713 | + | 0.697507i | ||||
\(173\) | 5.00261e6 | 0.966181 | 0.483091 | − | 0.875570i | \(-0.339514\pi\) | ||||
0.483091 | + | 0.875570i | \(0.339514\pi\) | |||||||
\(174\) | 1.02182e6 | + | 814875.i | 0.193967 | + | 0.154683i | ||||
\(175\) | 503234. | + | 3.33874e6i | 0.0938980 | + | 0.622972i | ||||
\(176\) | 348191. | + | 1.52552e6i | 0.0638675 | + | 0.279822i | ||||
\(177\) | 5.31352e6 | + | 7.79350e6i | 0.958214 | + | 1.40544i | ||||
\(178\) | −1.11763e6 | + | 1.93579e6i | −0.198170 | + | 0.343240i | ||||
\(179\) | 4.05791e6 | − | 2.34283e6i | 0.707527 | − | 0.408491i | −0.102618 | − | 0.994721i | \(-0.532722\pi\) |
0.810145 | + | 0.586230i | \(0.199388\pi\) | |||||||
\(180\) | −9600.38 | + | 19935.4i | −0.00164616 | + | 0.00341828i | ||||
\(181\) | 58150.7 | − | 17937.1i | 0.00980661 | − | 0.00302494i | −0.289848 | − | 0.957073i | \(-0.593605\pi\) |
0.299655 | + | 0.954048i | \(0.403129\pi\) | |||||||
\(182\) | 127431. | − | 1.70045e6i | 0.0211379 | − | 0.282065i | ||||
\(183\) | 1.03095e6 | − | 4.51687e6i | 0.168222 | − | 0.737028i | ||||
\(184\) | 3.51241e6 | − | 1.37852e6i | 0.563834 | − | 0.221289i | ||||
\(185\) | 3687.57 | + | 49207.3i | 0.000582406 | + | 0.00777166i | ||||
\(186\) | −3.06250e6 | − | 461598.i | −0.475924 | − | 0.0717340i | ||||
\(187\) | −1.08060e7 | + | 1.00265e7i | −1.65250 | + | 1.53330i | ||||
\(188\) | 5.30555e6 | − | 2.55502e6i | 0.798467 | − | 0.384521i | ||||
\(189\) | −2.83389e6 | − | 1.93211e6i | −0.419757 | − | 0.286185i | ||||
\(190\) | −47470.4 | − | 18630.8i | −0.00692089 | − | 0.00271625i | ||||
\(191\) | −2.92456e6 | + | 9.48119e6i | −0.419721 | + | 1.36070i | 0.461141 | + | 0.887327i | \(0.347440\pi\) |
−0.880861 | + | 0.473374i | \(0.843036\pi\) | |||||||
\(192\) | 1.93167e6 | − | 2.08185e6i | 0.272916 | − | 0.294134i | ||||
\(193\) | −1.48791e6 | − | 1.86579e6i | −0.206969 | − | 0.259531i | 0.667503 | − | 0.744608i | \(-0.267363\pi\) |
−0.874472 | + | 0.485076i | \(0.838792\pi\) | |||||||
\(194\) | 2.63553e6 | − | 2.10177e6i | 0.360964 | − | 0.287859i | ||||
\(195\) | 94625.7 | + | 87799.8i | 0.0127616 | + | 0.0118410i | ||||
\(196\) | 3.06735e6 | + | 946151.i | 0.407375 | + | 0.125659i | ||||
\(197\) | 3.88889e6 | − | 9.90874e6i | 0.508660 | − | 1.29604i | −0.413946 | − | 0.910301i | \(-0.635850\pi\) |
0.922606 | − | 0.385743i | \(-0.126055\pi\) | |||||||
\(198\) | 950997. | − | 1.39486e6i | 0.122513 | − | 0.179694i | ||||
\(199\) | −573124. | − | 1.19010e6i | −0.0727259 | − | 0.151017i | 0.861436 | − | 0.507866i | \(-0.169565\pi\) |
−0.934162 | + | 0.356849i | \(0.883851\pi\) | |||||||
\(200\) | 5.02492e6 | + | 5.41557e6i | 0.628114 | + | 0.676946i | ||||
\(201\) | 402493. | − | 2.67037e6i | 0.0495645 | − | 0.328839i | ||||
\(202\) | −2.20466e6 | + | 165216.i | −0.267477 | + | 0.0200447i | ||||
\(203\) | −777426. | − | 1.98085e6i | −0.0929332 | − | 0.236790i | ||||
\(204\) | −1.08280e7 | − | 2.47142e6i | −1.27543 | − | 0.291109i | ||||
\(205\) | −111934. | − | 8388.28i | −0.0129927 | − | 0.000973668i | ||||
\(206\) | 595640. | + | 1.93102e6i | 0.0681369 | + | 0.220894i | ||||
\(207\) | 1.52138e6 | + | 732659.i | 0.171525 | + | 0.0826021i | ||||
\(208\) | 773813. | + | 1.34028e6i | 0.0859896 | + | 0.148938i | ||||
\(209\) | −8.13864e6 | − | 4.69885e6i | −0.891483 | − | 0.514698i | ||||
\(210\) | −54767.5 | + | 37339.8i | −0.00591378 | + | 0.00403195i | ||||
\(211\) | −1.24326e7 | + | 2.83766e6i | −1.32347 | + | 0.302074i | −0.825147 | − | 0.564918i | \(-0.808908\pi\) |
−0.498323 | + | 0.866991i | \(0.666051\pi\) | |||||||
\(212\) | −613044. | + | 92401.6i | −0.0643405 | + | 0.00969777i | ||||
\(213\) | 2.94741e6 | − | 3.69594e6i | 0.305002 | − | 0.382460i | ||||
\(214\) | − | 2.15659e6i | − | 0.220052i | ||||||
\(215\) | −94377.9 | − | 157521.i | −0.00949631 | − | 0.0158497i | ||||
\(216\) | −7.50458e6 | −0.744672 | ||||||||
\(217\) | 3.94246e6 | + | 3.14400e6i | 0.385823 | + | 0.307683i | ||||
\(218\) | −28620.7 | − | 189886.i | −0.00276256 | − | 0.0183284i | ||||
\(219\) | −1.91585e6 | − | 8.39391e6i | −0.182402 | − | 0.799156i | ||||
\(220\) | −108497. | − | 159136.i | −0.0101894 | − | 0.0149451i | ||||
\(221\) | −7.28989e6 | + | 1.26265e7i | −0.675374 | + | 1.16978i | ||||
\(222\) | 2.45656e6 | − | 1.41830e6i | 0.224527 | − | 0.129631i | ||||
\(223\) | 8.02202e6 | − | 1.66579e7i | 0.723385 | − | 1.50212i | −0.135953 | − | 0.990715i | \(-0.543410\pi\) |
0.859338 | − | 0.511409i | \(-0.170876\pi\) | |||||||
\(224\) | −7.01215e6 | + | 2.16296e6i | −0.623889 | + | 0.192444i | ||||
\(225\) | −247070. | + | 3.29692e6i | −0.0216906 | + | 0.289441i | ||||
\(226\) | 1.57952e6 | − | 6.92031e6i | 0.136835 | − | 0.599515i | ||||
\(227\) | −7.34248e6 | + | 2.88171e6i | −0.627719 | + | 0.246361i | −0.657808 | − | 0.753186i | \(-0.728516\pi\) |
0.0300892 | + | 0.999547i | \(0.490421\pi\) | |||||||
\(228\) | −529127. | − | 7.06071e6i | −0.0446432 | − | 0.595722i | ||||
\(229\) | 1.05400e7 | + | 1.58865e6i | 0.877677 | + | 0.132289i | 0.572399 | − | 0.819975i | \(-0.306013\pi\) |
0.305277 | + | 0.952263i | \(0.401251\pi\) | |||||||
\(230\) | −58468.4 | + | 54250.8i | −0.00480549 | + | 0.00445884i | ||||
\(231\) | −1.10057e7 | + | 5.30005e6i | −0.892853 | + | 0.429975i | ||||
\(232\) | −3.84694e6 | − | 2.62280e6i | −0.308071 | − | 0.210039i | ||||
\(233\) | 1.75525e7 | + | 6.88886e6i | 1.38762 | + | 0.544602i | 0.937382 | − | 0.348304i | \(-0.113242\pi\) |
0.450242 | + | 0.892906i | \(0.351338\pi\) | |||||||
\(234\) | 492158. | − | 1.59554e6i | 0.0384111 | − | 0.124526i | ||||
\(235\) | −204387. | + | 220277.i | −0.0157489 | + | 0.0169732i | ||||
\(236\) | −8.67888e6 | − | 1.08830e7i | −0.660279 | − | 0.827964i | ||||
\(237\) | 2.22349e7 | − | 1.77318e7i | 1.67029 | − | 1.33201i | ||||
\(238\) | −5.48819e6 | − | 5.09229e6i | −0.407097 | − | 0.377731i | ||||
\(239\) | 1.73740e7 | + | 5.35916e6i | 1.27264 | + | 0.392558i | 0.856219 | − | 0.516614i | \(-0.172808\pi\) |
0.416422 | + | 0.909171i | \(0.363284\pi\) | |||||||
\(240\) | 21978.7 | − | 56000.8i | 0.00158989 | − | 0.00405098i | ||||
\(241\) | 1.13004e7 | − | 1.65747e7i | 0.807317 | − | 1.18412i | −0.172655 | − | 0.984982i | \(-0.555234\pi\) |
0.979972 | − | 0.199135i | \(-0.0638132\pi\) | |||||||
\(242\) | 3.04857e6 | + | 6.33041e6i | 0.215104 | + | 0.446669i | ||||
\(243\) | −5.50331e6 | − | 5.93115e6i | −0.383535 | − | 0.413352i | ||||
\(244\) | −1.01902e6 | + | 6.76073e6i | −0.0701474 | + | 0.465398i | ||||
\(245\) | −163341. | + | 12240.7i | −0.0111070 | + | 0.000832356i | ||||
\(246\) | 2.35737e6 | + | 6.00648e6i | 0.158352 | + | 0.403473i | ||||
\(247\) | −9.06176e6 | − | 2.06829e6i | −0.601342 | − | 0.137252i | ||||
\(248\) | 1.10024e7 | + | 824514.i | 0.721325 | + | 0.0540559i | ||||
\(249\) | 7.58998e6 | + | 2.46061e7i | 0.491635 | + | 1.59384i | ||||
\(250\) | −281447. | − | 135538.i | −0.0180126 | − | 0.00867440i | ||||
\(251\) | −2.84326e6 | − | 4.92467e6i | −0.179802 | − | 0.311427i | 0.762010 | − | 0.647565i | \(-0.224212\pi\) |
−0.941813 | + | 0.336138i | \(0.890879\pi\) | |||||||
\(252\) | −1.79348e6 | − | 1.03547e6i | −0.112072 | − | 0.0647045i | ||||
\(253\) | −1.21445e7 | + | 8.28001e6i | −0.749928 | + | 0.511292i | ||||
\(254\) | −4.76259e6 | + | 1.08703e6i | −0.290631 | + | 0.0663346i | ||||
\(255\) | 560416. | − | 84469.1i | 0.0337979 | − | 0.00509422i | ||||
\(256\) | −8.47688e6 | + | 1.06297e7i | −0.505261 | + | 0.633577i | ||||
\(257\) | − | 2.11030e7i | − | 1.24321i | −0.783331 | − | 0.621604i | \(-0.786481\pi\) | ||
0.783331 | − | 0.621604i | \(-0.213519\pi\) | |||||||
\(258\) | −5.80435e6 | + | 8.81684e6i | −0.337983 | + | 0.513398i | ||||
\(259\) | −4.61845e6 | −0.265826 | ||||||||
\(260\) | −148934. | − | 118771.i | −0.00847372 | − | 0.00675757i | ||||
\(261\) | −310551. | − | 2.06037e6i | −0.0174667 | − | 0.115884i | ||||
\(262\) | −1.30920e6 | − | 5.73596e6i | −0.0727948 | − | 0.318935i | ||||
\(263\) | 8.45554e6 | + | 1.24020e7i | 0.464808 | + | 0.681749i | 0.985050 | − | 0.172271i | \(-0.0551104\pi\) |
−0.520241 | + | 0.854019i | \(0.674158\pi\) | |||||||
\(264\) | −1.33636e7 | + | 2.31465e7i | −0.726295 | + | 1.25798i | ||||
\(265\) | 27397.7 | − | 15818.1i | 0.00147223 | − | 0.000849993i | ||||
\(266\) | 2.07089e6 | − | 4.30024e6i | 0.110030 | − | 0.228480i | ||||
\(267\) | 1.51334e7 | − | 4.66804e6i | 0.795065 | − | 0.245245i | ||||
\(268\) | −297819. | + | 3.97411e6i | −0.0154720 | + | 0.206460i | ||||
\(269\) | 1.99496e6 | − | 8.74048e6i | 0.102489 | − | 0.449033i | −0.897479 | − | 0.441057i | \(-0.854604\pi\) |
0.999968 | − | 0.00797651i | \(-0.00253903\pi\) | |||||||
\(270\) | 147669. | − | 57955.8i | 0.00750236 | − | 0.00294446i | ||||
\(271\) | −144707. | − | 1.93098e6i | −0.00727079 | − | 0.0970220i | 0.992388 | − | 0.123153i | \(-0.0393005\pi\) |
−0.999659 | + | 0.0261306i | \(0.991681\pi\) | |||||||
\(272\) | 6.71896e6 | + | 1.01272e6i | 0.333884 | + | 0.0503249i | ||||
\(273\) | −8.85646e6 | + | 8.21759e6i | −0.435283 | + | 0.403884i | ||||
\(274\) | 2.33675e6 | − | 1.12532e6i | 0.113595 | − | 0.0547046i | ||||
\(275\) | −2.37781e7 | − | 1.62116e7i | −1.14335 | − | 0.779522i | ||||
\(276\) | −1.03088e7 | − | 4.04592e6i | −0.490323 | − | 0.192438i | ||||
\(277\) | −1.19379e7 | + | 3.87019e7i | −0.561682 | + | 1.82093i | 0.00928839 | + | 0.999957i | \(0.497043\pi\) |
−0.570970 | + | 0.820971i | \(0.693433\pi\) | |||||||
\(278\) | −1.46244e7 | + | 1.57614e7i | −0.680683 | + | 0.733602i | ||||
\(279\) | 3.07855e6 | + | 3.86038e6i | 0.141753 | + | 0.177753i | ||||
\(280\) | 184620. | − | 147229.i | 0.00841015 | − | 0.00670687i | ||||
\(281\) | −2.08644e6 | − | 1.93594e6i | −0.0940345 | − | 0.0872513i | 0.631755 | − | 0.775168i | \(-0.282335\pi\) |
−0.725790 | + | 0.687917i | \(0.758525\pi\) | |||||||
\(282\) | 1.65063e7 | + | 5.09152e6i | 0.736042 | + | 0.227039i | ||||
\(283\) | 1.59247e7 | − | 4.05755e7i | 0.702606 | − | 1.79021i | 0.0957401 | − | 0.995406i | \(-0.469478\pi\) |
0.606866 | − | 0.794804i | \(-0.292427\pi\) | |||||||
\(284\) | −3.92983e6 | + | 5.76400e6i | −0.171561 | + | 0.251634i | ||||
\(285\) | 156766. | + | 325527.i | 0.00677199 | + | 0.0140622i | ||||
\(286\) | 9.88574e6 | + | 1.06543e7i | 0.422582 | + | 0.455435i | ||||
\(287\) | 1.56581e6 | − | 1.03884e7i | 0.0662357 | − | 0.439445i | ||||
\(288\) | −7.16530e6 | + | 536965.i | −0.299956 | + | 0.0224786i | ||||
\(289\) | 1.45680e7 | + | 3.71186e7i | 0.603539 | + | 1.53779i | ||||
\(290\) | 95952.1 | + | 21900.4i | 0.00393424 | + | 0.000897964i | ||||
\(291\) | −2.38169e7 | − | 1.78483e6i | −0.966509 | − | 0.0724299i | ||||
\(292\) | 3.74507e6 | + | 1.21412e7i | 0.150422 | + | 0.487656i | ||||
\(293\) | 2.60987e7 | + | 1.25685e7i | 1.03757 | + | 0.499666i | 0.873521 | − | 0.486787i | \(-0.161831\pi\) |
0.164046 | + | 0.986453i | \(0.447545\pi\) | |||||||
\(294\) | 4.70798e6 | + | 8.15446e6i | 0.185265 | + | 0.320888i | ||||
\(295\) | 615146. | + | 355154.i | 0.0239614 | + | 0.0138341i | ||||
\(296\) | −8.34931e6 | + | 5.69247e6i | −0.321941 | + | 0.219495i | ||||
\(297\) | 2.85010e7 | − | 6.50517e6i | 1.08790 | − | 0.248307i | ||||
\(298\) | 1.79709e7 | − | 2.70868e6i | 0.679081 | − | 0.102355i | ||||
\(299\) | −9.06409e6 | + | 1.13660e7i | −0.339086 | + | 0.425201i | ||||
\(300\) | − | 2.16828e7i | − | 0.803065i | ||||||
\(301\) | 1.53620e7 | − | 7.70682e6i | 0.563310 | − | 0.282602i | ||||
\(302\) | −367658. | −0.0133482 | ||||||||
\(303\) | 1.22466e7 | + | 9.76634e6i | 0.440238 | + | 0.351078i | ||||
\(304\) | 645623. | + | 4.28343e6i | 0.0229804 | + | 0.152465i | ||||
\(305\) | −77634.6 | − | 340140.i | −0.00273625 | − | 0.0119883i | ||||
\(306\) | −4.12964e6 | − | 6.05708e6i | −0.144128 | − | 0.211397i | ||||
\(307\) | 1.66576e7 | − | 2.88519e7i | 0.575703 | − | 0.997146i | −0.420262 | − | 0.907403i | \(-0.638062\pi\) |
0.995965 | − | 0.0897435i | \(-0.0286047\pi\) | |||||||
\(308\) | 1.56115e7 | − | 9.01329e6i | 0.534308 | − | 0.308483i | ||||
\(309\) | 6.21214e6 | − | 1.28997e7i | 0.210555 | − | 0.437223i | ||||
\(310\) | −222863. | + | 68744.2i | −0.00748089 | + | 0.00230755i | ||||
\(311\) | 3.54540e6 | − | 4.73101e7i | 0.117865 | − | 1.57280i | −0.554250 | − | 0.832350i | \(-0.686995\pi\) |
0.672115 | − | 0.740447i | \(-0.265386\pi\) | |||||||
\(312\) | −5.88227e6 | + | 2.57719e7i | −0.193678 | + | 0.848561i | ||||
\(313\) | −2.95728e6 | + | 1.16065e6i | −0.0964406 | + | 0.0378501i | −0.413071 | − | 0.910699i | \(-0.635544\pi\) |
0.316630 | + | 0.948549i | \(0.397449\pi\) | |||||||
\(314\) | −1.45451e6 | − | 1.94090e7i | −0.0469815 | − | 0.626924i | ||||
\(315\) | 104496. | + | 15750.3i | 0.00334326 | + | 0.000503915i | ||||
\(316\) | −3.07655e7 | + | 2.85463e7i | −0.974997 | + | 0.904665i | ||||
\(317\) | 1.75578e7 | − | 8.45540e6i | 0.551179 | − | 0.265434i | −0.137498 | − | 0.990502i | \(-0.543906\pi\) |
0.688677 | + | 0.725068i | \(0.258192\pi\) | |||||||
\(318\) | −1.50259e6 | − | 1.02445e6i | −0.0467261 | − | 0.0318573i | ||||
\(319\) | 1.68835e7 | + | 6.62627e6i | 0.520103 | + | 0.204125i | ||||
\(320\) | 63037.0 | − | 204361.i | 0.00192374 | − | 0.00623660i | ||||
\(321\) | −1.03928e7 | + | 1.12008e7i | −0.314208 | + | 0.338635i | ||||
\(322\) | −4.65444e6 | − | 5.83648e6i | −0.139412 | − | 0.174817i | ||||
\(323\) | −3.19057e7 | + | 2.54439e7i | −0.946804 | + | 0.755051i | ||||
\(324\) | 2.12657e7 | + | 1.97317e7i | 0.625236 | + | 0.580134i | ||||
\(325\) | −2.71991e7 | − | 8.38980e6i | −0.792326 | − | 0.244400i | ||||
\(326\) | −8.74640e6 | + | 2.22855e7i | −0.252451 | + | 0.643234i | ||||
\(327\) | −766429. | + | 1.12415e6i | −0.0219194 | + | 0.0321499i | ||||
\(328\) | −9.97357e6 | − | 2.07103e7i | −0.282637 | − | 0.586902i | ||||
\(329\) | −1.91295e7 | − | 2.06167e7i | −0.537176 | − | 0.578938i | ||||
\(330\) | 84204.8 | − | 558662.i | 0.00234312 | − | 0.0155456i | ||||
\(331\) | −4.57257e7 | + | 3.42667e6i | −1.26089 | + | 0.0944904i | −0.688344 | − | 0.725384i | \(-0.741662\pi\) |
−0.572543 | + | 0.819875i | \(0.694043\pi\) | |||||||
\(332\) | −1.38830e7 | − | 3.53734e7i | −0.379376 | − | 0.966636i | ||||
\(333\) | −4.40892e6 | − | 1.00631e6i | −0.119399 | − | 0.0272520i | ||||
\(334\) | 3.65181e7 | + | 2.73665e6i | 0.980097 | + | 0.0734481i | ||||
\(335\) | −59941.9 | − | 194327.i | −0.00159440 | − | 0.00516891i | ||||
\(336\) | 5.07299e6 | + | 2.44302e6i | 0.133735 | + | 0.0644036i | ||||
\(337\) | −9.10083e6 | − | 1.57631e7i | −0.237789 | − | 0.411862i | 0.722291 | − | 0.691589i | \(-0.243089\pi\) |
−0.960079 | + | 0.279727i | \(0.909756\pi\) | |||||||
\(338\) | −5.64604e6 | − | 3.25974e6i | −0.146216 | − | 0.0844176i | ||||
\(339\) | −4.15532e7 | + | 2.83305e7i | −1.06661 | + | 0.727201i | ||||
\(340\) | −815395. | + | 186109.i | −0.0207458 | + | 0.00473510i | ||||
\(341\) | −4.24997e7 | + | 6.40580e6i | −1.07182 | + | 0.161551i | ||||
\(342\) | 2.91391e6 | − | 3.65393e6i | 0.0728447 | − | 0.0913443i | ||||
\(343\) | − | 4.07626e7i | − | 1.01013i | ||||||
\(344\) | 1.82726e7 | − | 3.28669e7i | 0.448875 | − | 0.807390i | ||||
\(345\) | 565109. | 0.0137618 | ||||||||
\(346\) | −1.69310e7 | − | 1.35020e7i | −0.408747 | − | 0.325965i | ||||
\(347\) | −7.22550e6 | − | 4.79381e7i | −0.172934 | − | 1.14734i | −0.891879 | − | 0.452274i | \(-0.850613\pi\) |
0.718945 | − | 0.695066i | \(-0.244625\pi\) | |||||||
\(348\) | 3.04078e6 | + | 1.33225e7i | 0.0721518 | + | 0.316118i | ||||
\(349\) | 2.58207e7 | + | 3.78720e7i | 0.607424 | + | 0.890928i | 0.999580 | − | 0.0289710i | \(-0.00922305\pi\) |
−0.392156 | + | 0.919899i | \(0.628271\pi\) | |||||||
\(350\) | 7.30808e6 | − | 1.26580e7i | 0.170451 | − | 0.295229i | ||||
\(351\) | 2.50402e7 | − | 1.44570e7i | 0.579050 | − | 0.334315i | ||||
\(352\) | 2.71376e7 | − | 5.63517e7i | 0.622218 | − | 1.29205i | ||||
\(353\) | −3.44411e6 | + | 1.06237e6i | −0.0782984 | + | 0.0241519i | −0.333657 | − | 0.942695i | \(-0.608283\pi\) |
0.255358 | + | 0.966846i | \(0.417807\pi\) | |||||||
\(354\) | 3.05137e6 | − | 4.07177e7i | 0.0687837 | − | 0.917854i | ||||
\(355\) | 79214.1 | − | 347060.i | 0.00177059 | − | 0.00775745i | ||||
\(356\) | −2.17556e7 | + | 8.53843e6i | −0.482193 | + | 0.189247i | ||||
\(357\) | 3.96401e6 | + | 5.28961e7i | 0.0871225 | + | 1.16257i | ||||
\(358\) | −2.00570e7 | − | 3.02311e6i | −0.437136 | − | 0.0658877i | ||||
\(359\) | −3.74540e7 | + | 3.47523e7i | −0.809497 | + | 0.751103i | −0.971843 | − | 0.235630i | \(-0.924285\pi\) |
0.162346 | + | 0.986734i | \(0.448094\pi\) | |||||||
\(360\) | 208323. | − | 100323.i | 0.00446509 | − | 0.00215028i | ||||
\(361\) | 1.73755e7 | + | 1.18464e7i | 0.369332 | + | 0.251806i | ||||
\(362\) | −245219. | − | 96241.4i | −0.00516926 | − | 0.00202879i | ||||
\(363\) | 1.46733e7 | − | 4.75698e7i | 0.306767 | − | 0.994515i | ||||
\(364\) | 1.21269e7 | − | 1.30697e7i | 0.251448 | − | 0.270996i | ||||
\(365\) | −404242. | − | 506903.i | −0.00831309 | − | 0.0104243i | ||||
\(366\) | −1.56801e7 | + | 1.25045e7i | −0.319821 | + | 0.255049i | ||||
\(367\) | 4.87032e7 | + | 4.51899e7i | 0.985278 | + | 0.914205i | 0.996318 | − | 0.0857342i | \(-0.0273236\pi\) |
−0.0110396 | + | 0.999939i | \(0.503514\pi\) | |||||||
\(368\) | 6.47422e6 | + | 1.99703e6i | 0.129910 | + | 0.0400721i | ||||
\(369\) | 3.75829e6 | − | 9.57596e6i | 0.0748016 | − | 0.190591i | ||||
\(370\) | 120330. | − | 176491.i | 0.00237557 | − | 0.00348432i | ||||
\(371\) | 1.28472e6 | + | 2.66774e6i | 0.0251586 | + | 0.0522423i | ||||
\(372\) | −2.20255e7 | − | 2.37379e7i | −0.427856 | − | 0.461119i | ||||
\(373\) | −9.74454e6 | + | 6.46508e7i | −0.187774 | + | 1.24580i | 0.674087 | + | 0.738652i | \(0.264537\pi\) |
−0.861860 | + | 0.507146i | \(0.830701\pi\) | |||||||
\(374\) | 6.36338e7 | − | 4.76870e6i | 1.21639 | − | 0.0911559i | ||||
\(375\) | 808593. | + | 2.06026e6i | 0.0153333 | + | 0.0390687i | ||||
\(376\) | −5.99937e7 | − | 1.36932e7i | −1.12861 | − | 0.257597i | ||||
\(377\) | 1.78885e7 | + | 1.34056e6i | 0.333849 | + | 0.0250185i | ||||
\(378\) | 4.37634e6 | + | 1.41878e7i | 0.0810281 | + | 0.262687i | ||||
\(379\) | 1.31187e7 | + | 6.31764e6i | 0.240976 | + | 0.116048i | 0.550474 | − | 0.834852i | \(-0.314447\pi\) |
−0.309498 | + | 0.950900i | \(0.600161\pi\) | |||||||
\(380\) | −266597. | − | 461759.i | −0.00485852 | − | 0.00841520i | ||||
\(381\) | 2.99741e7 | + | 1.73056e7i | 0.541965 | + | 0.312904i | ||||
\(382\) | 3.54876e7 | − | 2.41951e7i | 0.636630 | − | 0.434047i | ||||
\(383\) | −1.53439e7 | + | 3.50214e6i | −0.273111 | + | 0.0623358i | −0.356883 | − | 0.934149i | \(-0.616160\pi\) |
0.0837718 | + | 0.996485i | \(0.473303\pi\) | |||||||
\(384\) | 5.37333e7 | − | 8.09899e6i | 0.948964 | − | 0.143033i | ||||
\(385\) | −573529. | + | 719183.i | −0.0100502 | + | 0.0126025i | ||||
\(386\) | 1.03305e7i | 0.179622i | ||||||||
\(387\) | 1.63443e7 | − | 4.00997e6i | 0.281989 | − | 0.0691845i | ||||
\(388\) | 3.52459e7 | 0.603410 | ||||||||
\(389\) | −9.47943e6 | − | 7.55959e6i | −0.161040 | − | 0.128425i | 0.539655 | − | 0.841887i | \(-0.318555\pi\) |
−0.700694 | + | 0.713462i | \(0.747126\pi\) | |||||||
\(390\) | −83282.9 | − | 552546.i | −0.00140398 | − | 0.00931483i | ||||
\(391\) | 1.42030e7 | + | 6.22274e7i | 0.237602 | + | 1.04100i | ||||
\(392\) | −1.88959e7 | − | 2.77152e7i | −0.313696 | − | 0.460108i | ||||
\(393\) | −2.08425e7 | + | 3.61002e7i | −0.343377 | + | 0.594747i | ||||
\(394\) | −3.99053e7 | + | 2.30393e7i | −0.652442 | + | 0.376688i | ||||
\(395\) | 929215. | − | 1.92954e6i | 0.0150774 | − | 0.0313084i | ||||
\(396\) | 1.68671e7 | − | 5.20281e6i | 0.271616 | − | 0.0837823i | ||||
\(397\) | −1.46948e6 | + | 1.96088e7i | −0.0234850 | + | 0.313386i | 0.973074 | + | 0.230495i | \(0.0740345\pi\) |
−0.996559 | + | 0.0828913i | \(0.973585\pi\) | |||||||
\(398\) | −1.27238e6 | + | 5.57468e6i | −0.0201822 | + | 0.0884241i | ||||
\(399\) | −3.14789e7 | + | 1.23546e7i | −0.495565 | + | 0.194495i | ||||
\(400\) | 991322. | + | 1.32283e7i | 0.0154894 | + | 0.206692i | ||||
\(401\) | −4.35454e7 | − | 6.56341e6i | −0.675319 | − | 0.101788i | −0.197576 | − | 0.980288i | \(-0.563307\pi\) |
−0.477743 | + | 0.878500i | \(0.658545\pi\) | |||||||
\(402\) | −8.56952e6 | + | 7.95135e6i | −0.131910 | + | 0.122395i | ||||
\(403\) | −3.82995e7 | + | 1.84440e7i | −0.585164 | + | 0.281800i | ||||
\(404\) | −1.90992e7 | − | 1.30216e7i | −0.289648 | − | 0.197479i | ||||
\(405\) | −1.37800e6 | − | 540824.i | −0.0207436 | − | 0.00814125i | ||||
\(406\) | −2.71515e6 | + | 8.80231e6i | −0.0405711 | + | 0.131528i | ||||
\(407\) | 2.67748e7 | − | 2.88563e7i | 0.397139 | − | 0.428014i | ||||
\(408\) | 7.23632e7 | + | 9.07406e7i | 1.06546 | + | 1.33604i | ||||
\(409\) | −5.56809e7 | + | 4.44040e7i | −0.813834 | + | 0.649011i | −0.939304 | − | 0.343086i | \(-0.888528\pi\) |
0.125470 | + | 0.992097i | \(0.459956\pi\) | |||||||
\(410\) | 356192. | + | 330498.i | 0.00516812 | + | 0.00479532i | ||||
\(411\) | −1.75595e7 | − | 5.41638e6i | −0.252921 | − | 0.0780159i | ||||
\(412\) | −7.71922e6 | + | 1.96683e7i | −0.110378 | + | 0.281238i | ||||
\(413\) | −3.74502e7 | + | 5.49293e7i | −0.531623 | + | 0.779747i | ||||
\(414\) | −3.17157e6 | − | 6.58584e6i | −0.0446965 | − | 0.0928132i | ||||
\(415\) | 1.31892e6 | + | 1.42146e6i | 0.0184533 | + | 0.0198879i | ||||
\(416\) | 9.21990e6 | − | 6.11700e7i | 0.128070 | − | 0.849686i | ||||
\(417\) | 1.51911e8 | − | 1.13842e7i | 2.09499 | − | 0.156998i | ||||
\(418\) | 1.48625e7 | + | 3.78690e7i | 0.203499 | + | 0.518508i | ||||
\(419\) | −1.60213e7 | − | 3.65676e6i | −0.217799 | − | 0.0497113i | 0.112229 | − | 0.993682i | \(-0.464201\pi\) |
−0.330028 | + | 0.943971i | \(0.607058\pi\) | |||||||
\(420\) | −691120. | − | 51792.3i | −0.00932837 | − | 0.000699065i | ||||
\(421\) | 2.40430e7 | + | 7.79456e7i | 0.322213 | + | 1.04459i | 0.961311 | + | 0.275464i | \(0.0888314\pi\) |
−0.639099 | + | 0.769125i | \(0.720692\pi\) | |||||||
\(422\) | 4.97360e7 | + | 2.39516e7i | 0.661811 | + | 0.318711i | ||||
\(423\) | −1.37695e7 | − | 2.38495e7i | −0.181927 | − | 0.315107i | ||||
\(424\) | 5.61066e6 | + | 3.23931e6i | 0.0736065 | + | 0.0424967i | ||||
\(425\) | −1.03255e8 | + | 7.03979e7i | −1.34506 | + | 0.917049i | ||||
\(426\) | −1.99506e7 | + | 4.55360e6i | −0.258064 | + | 0.0589014i | ||||
\(427\) | 3.22892e7 | − | 4.86682e6i | 0.414738 | − | 0.0625118i | ||||
\(428\) | 1.40588e7 | − | 1.76292e7i | 0.179315 | − | 0.224854i | ||||
\(429\) | − | 1.02976e8i | − | 1.30426i | ||||||
\(430\) | −105732. | + | 787843.i | −0.00132984 | + | 0.00990910i | ||||
\(431\) | 3.78275e7 | 0.472472 | 0.236236 | − | 0.971696i | \(-0.424086\pi\) | ||||
0.236236 | + | 0.971696i | \(0.424086\pi\) | |||||||
\(432\) | −1.05353e7 | − | 8.40166e6i | −0.130677 | − | 0.104211i | ||||
\(433\) | −1.87956e7 | − | 1.24701e8i | −0.231522 | − | 1.53605i | −0.738596 | − | 0.674148i | \(-0.764511\pi\) |
0.507073 | − | 0.861903i | \(-0.330727\pi\) | |||||||
\(434\) | −4.85732e6 | − | 2.12813e7i | −0.0594193 | − | 0.260333i | ||||
\(435\) | −392810. | − | 576146.i | −0.00477216 | − | 0.00699947i | ||||
\(436\) | 1.00391e6 | − | 1.73882e6i | 0.0121125 | − | 0.0209795i | ||||
\(437\) | −3.52394e7 | + | 2.03455e7i | −0.422264 | + | 0.243794i | ||||
\(438\) | −1.61710e7 | + | 3.35795e7i | −0.192449 | + | 0.399624i | ||||
\(439\) | 9.29216e7 | − | 2.86625e7i | 1.09830 | − | 0.338782i | 0.307932 | − | 0.951408i | \(-0.400363\pi\) |
0.790373 | + | 0.612626i | \(0.209887\pi\) | |||||||
\(440\) | −150408. | + | 2.00705e6i | −0.00176568 | + | 0.0235614i | ||||
\(441\) | 3.34039e6 | − | 1.46352e7i | 0.0389477 | − | 0.170641i | ||||
\(442\) | 5.87508e7 | − | 2.30580e7i | 0.680373 | − | 0.267027i | ||||
\(443\) | 2.25548e6 | + | 3.00973e7i | 0.0259435 | + | 0.346191i | 0.995038 | + | 0.0995000i | \(0.0317243\pi\) |
−0.969094 | + | 0.246691i | \(0.920657\pi\) | |||||||
\(444\) | 2.93273e7 | + | 4.42038e6i | 0.335060 | + | 0.0505022i | ||||
\(445\) | 874234. | − | 811170.i | 0.00992082 | − | 0.00920517i | ||||
\(446\) | −7.21095e7 | + | 3.47261e7i | −0.812808 | + | 0.391428i | ||||
\(447\) | −1.06390e8 | − | 7.25352e7i | −1.19118 | − | 0.812132i | ||||
\(448\) | 1.86327e7 | + | 7.31280e6i | 0.207225 | + | 0.0813298i | ||||
\(449\) | 2.91696e7 | − | 9.45655e7i | 0.322249 | − | 1.04471i | −0.639042 | − | 0.769171i | \(-0.720669\pi\) |
0.961291 | − | 0.275534i | \(-0.0888546\pi\) | |||||||
\(450\) | 9.73455e6 | − | 1.04913e7i | 0.106826 | − | 0.115131i | ||||
\(451\) | 5.58300e7 | + | 7.00086e7i | 0.608609 | + | 0.763171i | ||||
\(452\) | 5.80255e7 | − | 4.62738e7i | 0.628353 | − | 0.501094i | ||||
\(453\) | 1.90952e6 | + | 1.77177e6i | 0.0205414 | + | 0.0190596i | ||||
\(454\) | 3.26278e7 | + | 1.00643e7i | 0.348675 | + | 0.107552i | ||||
\(455\) | −332387. | + | 846908.i | −0.00352866 | + | 0.00899088i | ||||
\(456\) | −4.16805e7 | + | 6.11340e7i | −0.439580 | + | 0.644746i | ||||
\(457\) | −4.86717e7 | − | 1.01068e8i | −0.509950 | − | 1.05892i | −0.983958 | − | 0.178402i | \(-0.942907\pi\) |
0.474007 | − | 0.880521i | \(-0.342807\pi\) | |||||||
\(458\) | −3.13842e7 | − | 3.38241e7i | −0.326674 | − | 0.352071i | ||||
\(459\) | 1.89204e7 | − | 1.25529e8i | 0.195656 | − | 1.29809i | ||||
\(460\) | −831616. | + | 62321.0i | −0.00854377 | + | 0.000640267i | ||||
\(461\) | −4.52781e7 | − | 1.15367e8i | −0.462153 | − | 1.17755i | −0.952098 | − | 0.305793i | \(-0.901078\pi\) |
0.489945 | − | 0.871753i | \(-0.337017\pi\) | |||||||
\(462\) | 5.15527e7 | + | 1.17666e7i | 0.522788 | + | 0.119323i | ||||
\(463\) | −1.48068e8 | − | 1.10961e7i | −1.49182 | − | 0.111797i | −0.696313 | − | 0.717739i | \(-0.745177\pi\) |
−0.795509 | + | 0.605942i | \(0.792796\pi\) | |||||||
\(464\) | −2.46423e6 | − | 7.98882e6i | −0.0246676 | − | 0.0799703i | ||||
\(465\) | 1.48878e6 | + | 716958.i | 0.0148071 | + | 0.00713074i | ||||
\(466\) | −4.08123e7 | − | 7.06890e7i | −0.403305 | − | 0.698544i | ||||
\(467\) | 3.63060e7 | + | 2.09613e7i | 0.356474 | + | 0.205810i | 0.667533 | − | 0.744580i | \(-0.267350\pi\) |
−0.311059 | + | 0.950391i | \(0.600684\pi\) | |||||||
\(468\) | 1.44245e7 | − | 9.83447e6i | 0.140723 | − | 0.0959430i | ||||
\(469\) | 1.85564e7 | − | 4.23537e6i | 0.179877 | − | 0.0410556i | ||||
\(470\) | 1.28626e6 | − | 193872.i | 0.0123889 | − | 0.00186733i | ||||
\(471\) | −8.59795e7 | + | 1.07815e8i | −0.822872 | + | 1.03185i | ||||
\(472\) | 1.45461e8i | 1.38332i | ||||||||
\(473\) | −4.09061e7 | + | 1.40662e8i | −0.386549 | + | 1.32921i | ||||
\(474\) | −1.23111e8 | −1.15601 | ||||||||
\(475\) | −6.22883e7 | − | 4.96733e7i | −0.581200 | − | 0.463492i | ||||
\(476\) | −1.16669e7 | − | 7.74049e7i | −0.108177 | − | 0.717708i | ||||
\(477\) | 645162. | + | 2.82664e6i | 0.00594447 | + | 0.0260444i | ||||
\(478\) | −4.43367e7 | − | 6.50300e7i | −0.405957 | − | 0.595429i | ||||
\(479\) | −3.06053e6 | + | 5.30099e6i | −0.0278477 | + | 0.0482337i | −0.879613 | − | 0.475689i | \(-0.842199\pi\) |
0.851766 | + | 0.523923i | \(0.175532\pi\) | |||||||
\(480\) | −2.08250e6 | + | 1.20233e6i | −0.0188305 | + | 0.0108718i | ||||
\(481\) | 1.68927e7 | − | 3.50781e7i | 0.151797 | − | 0.315210i | ||||
\(482\) | −8.29806e7 | + | 2.55961e7i | −0.741029 | + | 0.228577i | ||||
\(483\) | −3.95256e6 | + | 5.27433e7i | −0.0350782 | + | 0.468086i | ||||
\(484\) | −1.63473e7 | + | 7.16221e7i | −0.144181 | + | 0.631700i | ||||
\(485\) | −1.67422e6 | + | 657082.i | −0.0146753 | + | 0.00575963i | ||||
\(486\) | 2.61741e6 | + | 3.49270e7i | 0.0228015 | + | 0.304265i | ||||
\(487\) | 1.38231e8 | + | 2.08350e7i | 1.19679 | + | 0.180388i | 0.717050 | − | 0.697021i | \(-0.245492\pi\) |
0.479743 | + | 0.877409i | \(0.340730\pi\) | |||||||
\(488\) | 5.23744e7 | − | 4.85964e7i | 0.450671 | − | 0.418162i | ||||
\(489\) | 1.52822e8 | − | 7.35953e7i | 1.30695 | − | 0.629395i | ||||
\(490\) | 585855. | + | 399429.i | 0.00497968 | + | 0.00339509i | ||||
\(491\) | −2.14197e8 | − | 8.40660e7i | −1.80954 | − | 0.710192i | −0.990682 | − | 0.136195i | \(-0.956513\pi\) |
−0.818857 | − | 0.573997i | \(-0.805392\pi\) | |||||||
\(492\) | −1.98858e7 | + | 6.44682e7i | −0.166974 | + | 0.541315i | ||||
\(493\) | 5.35702e7 | − | 5.77350e7i | 0.447077 | − | 0.481835i | ||||
\(494\) | 2.50866e7 | + | 3.14576e7i | 0.208095 | + | 0.260943i | ||||
\(495\) | −704211. | + | 561590.i | −0.00580614 | + | 0.00463024i | ||||
\(496\) | 1.45227e7 | + | 1.34751e7i | 0.119015 | + | 0.110430i | ||||
\(497\) | 3.18381e7 | + | 9.82074e6i | 0.259345 | + | 0.0799972i | ||||
\(498\) | 4.07240e7 | − | 1.03763e8i | 0.329733 | − | 0.840145i | ||||
\(499\) | 5.61685e7 | − | 8.23840e7i | 0.452055 | − | 0.663042i | −0.530785 | − | 0.847507i | \(-0.678103\pi\) |
0.982839 | + | 0.184464i | \(0.0590550\pi\) | |||||||
\(500\) | −1.41714e6 | − | 2.94272e6i | −0.0113371 | − | 0.0235417i | ||||
\(501\) | −1.76477e8 | − | 1.90197e8i | −1.40338 | − | 1.51249i | ||||
\(502\) | −3.66883e6 | + | 2.43411e7i | −0.0290013 | + | 0.192411i | ||||
\(503\) | 2.52123e8 | − | 1.88940e7i | 1.98111 | − | 0.148464i | 0.981941 | − | 0.189189i | \(-0.0605858\pi\) |
0.999170 | + | 0.0407250i | \(0.0129667\pi\) | |||||||
\(504\) | 7.90638e6 | + | 2.01451e7i | 0.0617570 | + | 0.157354i | ||||
\(505\) | 1.14999e6 | + | 262478.i | 0.00892937 | + | 0.00203807i | ||||
\(506\) | 6.34500e7 | + | 4.75492e6i | 0.489757 | + | 0.0367022i | ||||
\(507\) | 1.36151e7 | + | 4.41390e7i | 0.104471 | + | 0.338687i | ||||
\(508\) | −4.60185e7 | − | 2.21613e7i | −0.351028 | − | 0.169046i | ||||
\(509\) | 3.36514e7 | + | 5.82859e7i | 0.255182 | + | 0.441988i | 0.964945 | − | 0.262453i | \(-0.0845313\pi\) |
−0.709763 | + | 0.704441i | \(0.751198\pi\) | |||||||
\(510\) | −2.12467e6 | − | 1.22668e6i | −0.0160170 | − | 0.00924741i | ||||
\(511\) | 5.01382e7 | − | 3.41836e7i | 0.375756 | − | 0.256186i | ||||
\(512\) | −5.31705e7 | + | 1.21358e7i | −0.396151 | + | 0.0904189i | ||||
\(513\) | 8.00262e7 | − | 1.20620e7i | 0.592762 | − | 0.0893444i | ||||
\(514\) | −5.69567e7 | + | 7.14215e7i | −0.419426 | + | 0.525944i | ||||
\(515\) | − | 1.07817e6i | − | 0.00789344i | ||||||
\(516\) | −1.04925e8 | + | 3.42354e7i | −0.763714 | + | 0.249187i | ||||
\(517\) | 2.39715e8 | 1.73470 | ||||||||
\(518\) | 1.56308e7 | + | 1.24652e7i | 0.112459 | + | 0.0896828i | ||||
\(519\) | 2.28678e7 | + | 1.51718e8i | 0.163577 | + | 1.08526i | ||||
\(520\) | 442960. | + | 1.94074e6i | 0.00315032 | + | 0.0138025i | ||||
\(521\) | 1.29169e8 | + | 1.89456e8i | 0.913367 | + | 1.33966i | 0.940415 | + | 0.340029i | \(0.110437\pi\) |
−0.0270476 | + | 0.999634i | \(0.508611\pi\) | |||||||
\(522\) | −4.50989e6 | + | 7.81137e6i | −0.0317070 | + | 0.0549181i | ||||
\(523\) | −2.21312e8 | + | 1.27774e8i | −1.54703 | + | 0.893180i | −0.548667 | + | 0.836041i | \(0.684865\pi\) |
−0.998366 | + | 0.0571394i | \(0.981802\pi\) | |||||||
\(524\) | 2.66907e7 | − | 5.54237e7i | 0.185509 | − | 0.385214i | ||||
\(525\) | −9.89561e7 | + | 3.05239e7i | −0.683856 | + | 0.210942i | ||||
\(526\) | 4.85572e6 | − | 6.47951e7i | 0.0333654 | − | 0.445231i | ||||
\(527\) | −4.15306e7 | + | 1.81957e8i | −0.283750 | + | 1.24319i | ||||
\(528\) | −4.46741e7 | + | 1.75333e7i | −0.303496 | + | 0.119114i | ||||
\(529\) | −6.30667e6 | − | 8.41566e7i | −0.0426023 | − | 0.568488i | ||||
\(530\) | −135418. | − | 20411.0i | −0.000909599 | − | 0.000137100i | ||||
\(531\) | −4.77196e7 | + | 4.42773e7i | −0.318723 | + | 0.295731i | ||||
\(532\) | 4.49620e7 | − | 2.16526e7i | 0.298614 | − | 0.143805i | ||||
\(533\) | 7.31751e7 | + | 4.98899e7i | 0.483261 | + | 0.329482i | ||||
\(534\) | −6.38169e7 | − | 2.50463e7i | −0.419095 | − | 0.164483i | ||||
\(535\) | −339152. | + | 1.09950e6i | −0.00221479 | + | 0.00718018i | ||||
\(536\) | 2.83262e7 | − | 3.05284e7i | 0.183948 | − | 0.198248i | ||||
\(537\) | 8.96022e7 | + | 1.12358e8i | 0.578623 | + | 0.725571i | ||||
\(538\) | −3.03423e7 | + | 2.41972e7i | −0.194850 | + | 0.155388i | ||||
\(539\) | 9.57873e7 | + | 8.88777e7i | 0.611705 | + | 0.567579i | ||||
\(540\) | 1.58495e6 | + | 488892.i | 0.0100655 | + | 0.00310478i | ||||
\(541\) | 1.03119e8 | − | 2.62742e8i | 0.651246 | − | 1.65935i | −0.0964765 | − | 0.995335i | \(-0.530757\pi\) |
0.747722 | − | 0.664012i | \(-0.231147\pi\) | |||||||
\(542\) | −4.72195e6 | + | 6.92583e6i | −0.0296568 | + | 0.0434985i | ||||
\(543\) | 809808. | + | 1.68158e6i | 0.00505805 | + | 0.0105031i | ||||
\(544\) | −1.84735e8 | − | 1.99097e8i | −1.14750 | − | 1.23671i | ||||
\(545\) | −15270.3 | + | 101312.i | −9.43315e−5 | + | 0.000625849i | ||||
\(546\) | 5.21533e7 | − | 3.90835e6i | 0.320408 | − | 0.0240113i | ||||
\(547\) | −2.07226e7 | − | 5.28004e7i | −0.126614 | − | 0.322608i | 0.853484 | − | 0.521118i | \(-0.174485\pi\) |
−0.980099 | + | 0.198510i | \(0.936390\pi\) | |||||||
\(548\) | 2.64379e7 | + | 6.03428e6i | 0.160652 | + | 0.0366677i | ||||
\(549\) | 3.18848e7 | + | 2.38943e6i | 0.192693 | + | 0.0144404i | ||||
\(550\) | 3.67202e7 | + | 1.19044e8i | 0.220707 | + | 0.715516i | ||||
\(551\) | 4.52380e7 | + | 2.17855e7i | 0.270426 | + | 0.130230i | ||||
\(552\) | 5.78631e7 | + | 1.00222e8i | 0.344021 | + | 0.595862i | ||||
\(553\) | 1.73590e8 | + | 1.00222e8i | 1.02648 | + | 0.592637i | ||||
\(554\) | 1.44859e8 | − | 9.87633e7i | 0.851955 | − | 0.580853i | ||||
\(555\) | −1.47549e6 | + | 336770.i | −0.00863091 | + | 0.00196995i | ||||
\(556\) | −2.22297e8 | + | 3.35060e7i | −1.29333 | + | 0.194938i | ||||
\(557\) | −4.59365e7 | + | 5.76025e7i | −0.265823 | + | 0.333331i | −0.896772 | − | 0.442493i | \(-0.854094\pi\) |
0.630949 | + | 0.775824i | \(0.282666\pi\) | |||||||
\(558\) | − | 2.13742e7i | − | 0.123023i | ||||||
\(559\) | 2.34599e6 | + | 1.44866e8i | 0.0134305 | + | 0.829338i | ||||
\(560\) | 424008. | 0.00241441 | ||||||||
\(561\) | −3.53478e8 | − | 2.81890e8i | −2.00205 | − | 1.59658i | ||||
\(562\) | 1.83634e6 | + | 1.21833e7i | 0.0103453 | + | 0.0686368i | ||||
\(563\) | 1.02282e7 | + | 4.48128e7i | 0.0573160 | + | 0.251118i | 0.995467 | − | 0.0951090i | \(-0.0303200\pi\) |
−0.938151 | + | 0.346227i | \(0.887463\pi\) | |||||||
\(564\) | 1.01740e8 | + | 1.49226e8i | 0.567096 | + | 0.831776i | ||||
\(565\) | −1.89360e6 | + | 3.27981e6i | −0.0104989 | + | 0.0181846i | ||||
\(566\) | −1.63409e8 | + | 9.43442e7i | −0.901211 | + | 0.520314i | ||||
\(567\) | 6.01149e7 | − | 1.24830e8i | 0.329786 | − | 0.684809i | ||||
\(568\) | 6.96619e7 | − | 2.14878e7i | 0.380146 | − | 0.117259i | ||||
\(569\) | −1.39903e7 | + | 1.86688e8i | −0.0759435 | + | 1.01340i | 0.820907 | + | 0.571062i | \(0.193468\pi\) |
−0.896850 | + | 0.442334i | \(0.854151\pi\) | |||||||
\(570\) | 348033. | − | 1.52483e6i | 0.00187930 | − | 0.00823376i | ||||
\(571\) | 1.33647e8 | − | 5.24527e7i | 0.717880 | − | 0.281747i | 0.0218515 | − | 0.999761i | \(-0.493044\pi\) |
0.696029 | + | 0.718014i | \(0.254949\pi\) | |||||||
\(572\) | 1.13563e7 | + | 1.51540e8i | 0.0606806 | + | 0.809726i | ||||
\(573\) | −3.00912e8 | − | 4.53551e7i | −1.59947 | − | 0.241081i | ||||
\(574\) | −3.33377e7 | + | 3.09328e7i | −0.176279 | + | 0.163563i | ||||
\(575\) | −1.12268e8 | + | 5.40656e7i | −0.590547 | + | 0.284392i | ||||
\(576\) | 1.61940e7 | + | 1.10409e7i | 0.0847397 | + | 0.0577745i | ||||
\(577\) | −1.09172e7 | − | 4.28469e6i | −0.0568308 | − | 0.0223045i | 0.336755 | − | 0.941592i | \(-0.390670\pi\) |
−0.393586 | + | 0.919288i | \(0.628766\pi\) | |||||||
\(578\) | 5.08785e7 | − | 1.64944e8i | 0.263482 | − | 0.854187i | ||||
\(579\) | 4.97835e7 | − | 5.36539e7i | 0.256478 | − | 0.276418i | ||||
\(580\) | 641599. | + | 804540.i | 0.00328836 | + | 0.00412348i | ||||
\(581\) | −1.41894e8 | + | 1.13157e8i | −0.723495 | + | 0.576968i | ||||
\(582\) | 7.57893e7 | + | 7.03222e7i | 0.384449 | + | 0.356717i | ||||
\(583\) | −2.41162e7 | − | 7.43885e6i | −0.121703 | − | 0.0375405i | ||||
\(584\) | 4.85076e7 | − | 1.23595e8i | 0.243541 | − | 0.620531i | ||||
\(585\) | −501838. | + | 736062.i | −0.00250667 | + | 0.00367660i | ||||
\(586\) | −5.44070e7 | − | 1.12977e8i | −0.270372 | − | 0.561434i | ||||
\(587\) | 6.05857e6 | + | 6.52959e6i | 0.0299541 | + | 0.0322828i | 0.747851 | − | 0.663866i | \(-0.231086\pi\) |
−0.717897 | + | 0.696149i | \(0.754895\pi\) | |||||||
\(588\) | −1.46733e7 | + | 9.73507e7i | −0.0721763 | + | 0.478858i | ||||
\(589\) | −1.18651e8 | + | 8.89164e6i | −0.580663 | + | 0.0435147i | ||||
\(590\) | −1.12336e6 | − | 2.86227e6i | −0.00546968 | − | 0.0139365i | ||||
\(591\) | 3.18286e8 | + | 7.26468e7i | 1.54190 | + | 0.351928i | ||||
\(592\) | −1.80942e7 | − | 1.35597e6i | −0.0872115 | − | 0.00653560i | ||||
\(593\) | −3.95516e7 | − | 1.28223e8i | −0.189670 | − | 0.614896i | −0.999598 | − | 0.0283658i | \(-0.990970\pi\) |
0.809927 | − | 0.586530i | \(-0.199507\pi\) | |||||||
\(594\) | −1.14017e8 | − | 5.49077e7i | −0.544014 | − | 0.261984i | ||||
\(595\) | 1.99724e6 | + | 3.45932e6i | 0.00948154 | + | 0.0164225i | ||||
\(596\) | 1.64563e8 | + | 9.50103e7i | 0.777307 | + | 0.448778i | ||||
\(597\) | 3.34733e7 | − | 2.28217e7i | 0.157317 | − | 0.107257i | ||||
\(598\) | 6.13535e7 | − | 1.40035e7i | 0.286904 | − | 0.0654839i | ||||
\(599\) | 3.86813e8 | − | 5.83026e7i | 1.79978 | − | 0.271274i | 0.838116 | − | 0.545492i | \(-0.183657\pi\) |
0.961668 | + | 0.274218i | \(0.0884190\pi\) | |||||||
\(600\) | −1.41272e8 | + | 1.77150e8i | −0.654038 | + | 0.820138i | ||||
\(601\) | − | 1.02678e8i | − | 0.472990i | −0.971633 | − | 0.236495i | \(-0.924001\pi\) | ||
0.971633 | − | 0.236495i | \(-0.0759987\pi\) | |||||||
\(602\) | −7.27922e7 | − | 1.53787e7i | −0.333653 | − | 0.0704904i | ||||
\(603\) | 1.86373e7 | 0.0850026 | ||||||||
\(604\) | −3.00545e6 | − | 2.39676e6i | −0.0136395 | − | 0.0108771i | ||||
\(605\) | −558724. | − | 3.70689e6i | −0.00252308 | − | 0.0167395i | ||||
\(606\) | −1.50885e7 | − | 6.61070e7i | −0.0677997 | − | 0.297050i | ||||
\(607\) | −1.94094e8 | − | 2.84683e8i | −0.867852 | − | 1.27291i | −0.960802 | − | 0.277235i | \(-0.910582\pi\) |
0.0929498 | − | 0.995671i | \(-0.470370\pi\) | |||||||
\(608\) | 8.65745e7 | − | 1.49951e8i | 0.385194 | − | 0.667175i | ||||
\(609\) | 5.65209e7 | − | 3.26324e7i | 0.250240 | − | 0.144476i | ||||
\(610\) | −655285. | + | 1.36071e6i | −0.00288696 | + | 0.00599484i | ||||
\(611\) | 2.26557e8 | − | 6.98836e7i | 0.993240 | − | 0.306374i | ||||
\(612\) | 5.72803e6 | − | 7.64353e7i | 0.0249891 | − | 0.333457i | ||||
\(613\) | −4.87663e7 | + | 2.13659e8i | −0.211708 | + | 0.927555i | 0.751697 | + | 0.659508i | \(0.229235\pi\) |
−0.963406 | + | 0.268047i | \(0.913622\pi\) | |||||||
\(614\) | −1.34248e8 | + | 5.26883e7i | −0.579964 | + | 0.227619i | ||||
\(615\) | −257271. | − | 3.43304e6i | −0.00110603 | − | 0.0147589i | ||||
\(616\) | −1.86272e8 | − | 2.80760e7i | −0.796904 | − | 0.120114i | ||||
\(617\) | −3.19490e7 | + | 2.96443e7i | −0.136020 | + | 0.126208i | −0.745249 | − | 0.666786i | \(-0.767669\pi\) |
0.609229 | + | 0.792994i | \(0.291479\pi\) | |||||||
\(618\) | −5.58406e7 | + | 2.68914e7i | −0.236584 | + | 0.113933i | ||||
\(619\) | 6.15388e7 | + | 4.19564e7i | 0.259464 | + | 0.176900i | 0.686065 | − | 0.727540i | \(-0.259337\pi\) |
−0.426601 | + | 0.904440i | \(0.640289\pi\) | |||||||
\(620\) | −2.26996e6 | − | 890893.i | −0.00952452 | − | 0.00373810i | ||||
\(621\) | 3.73101e7 | − | 1.20956e8i | 0.155794 | − | 0.505072i | ||||
\(622\) | −1.39689e8 | + | 1.50549e8i | −0.580484 | + | 0.625613i | ||||
\(623\) | 6.95943e7 | + | 8.72684e7i | 0.287812 | + | 0.360905i | ||||
\(624\) | −3.71105e7 | + | 2.95946e7i | −0.152737 | + | 0.121803i | ||||
\(625\) | −1.78784e8 | − | 1.65888e8i | −0.732301 | − | 0.679476i | ||||
\(626\) | 1.31413e7 | + | 4.05355e6i | 0.0535692 | + | 0.0165239i | ||||
\(627\) | 1.05302e8 | − | 2.68306e8i | 0.427204 | − | 1.08850i | ||||
\(628\) | 1.14638e8 | − | 1.68143e8i | 0.462859 | − | 0.678890i | ||||
\(629\) | −7.41674e7 | − | 1.54010e8i | −0.298031 | − | 0.618868i | ||||
\(630\) | −311151. | − | 335341.i | −0.00124437 | − | 0.00134111i | ||||
\(631\) | −5.42226e7 | + | 3.59744e8i | −0.215820 | + | 1.43187i | 0.574160 | + | 0.818743i | \(0.305329\pi\) |
−0.789981 | + | 0.613132i | \(0.789909\pi\) | |||||||
\(632\) | 4.37348e8 | − | 3.27747e7i | 1.73251 | − | 0.129834i | ||||
\(633\) | −1.42891e8 | − | 3.64081e8i | −0.563371 | − | 1.43545i | ||||
\(634\) | −8.22442e7 | − | 1.87717e7i | −0.322729 | − | 0.0736607i | ||||
\(635\) | 2.59908e6 | + | 194774.i | 0.0101508 | + | 0.000760694i | ||||
\(636\) | −5.60466e6 | − | 1.81699e7i | −0.0217860 | − | 0.0706285i | ||||
\(637\) | 1.16440e8 | + | 5.60746e7i | 0.450489 | + | 0.216944i | ||||
\(638\) | −3.92566e7 | − | 6.79945e7i | −0.151165 | − | 0.261825i | ||||
\(639\) | 2.82538e7 | + | 1.63123e7i | 0.108286 | + | 0.0625192i | ||||
\(640\) | 3.38101e6 | − | 2.30514e6i | 0.0128975 | − | 0.00879340i | ||||
\(641\) | 2.30375e8 | − | 5.25816e7i | 0.874705 | − | 0.199646i | 0.238478 | − | 0.971148i | \(-0.423351\pi\) |
0.636227 | + | 0.771502i | \(0.280494\pi\) | |||||||
\(642\) | 6.54044e7 | − | 9.85813e6i | 0.247173 | − | 0.0372554i | ||||
\(643\) | −1.33583e8 | + | 1.67507e8i | −0.502478 | + | 0.630087i | −0.966786 | − | 0.255586i | \(-0.917732\pi\) |
0.464308 | + | 0.885674i | \(0.346303\pi\) | |||||||
\(644\) | − | 7.80531e7i | − | 0.292235i | ||||||
\(645\) | 4.34582e6 | − | 3.58232e6i | 0.0161954 | − | 0.0133501i | ||||
\(646\) | 1.76655e8 | 0.655284 | ||||||||
\(647\) | −1.26441e8 | − | 1.00833e8i | −0.466848 | − | 0.372299i | 0.361629 | − | 0.932322i | \(-0.382221\pi\) |
−0.828477 | + | 0.560023i | \(0.810792\pi\) | |||||||
\(648\) | −4.51821e7 | − | 2.99764e8i | −0.166051 | − | 1.10168i | ||||
\(649\) | −1.26090e8 | − | 5.52435e8i | −0.461260 | − | 2.02091i | ||||
\(650\) | 6.94093e7 | + | 1.01805e8i | 0.252742 | + | 0.370705i | ||||
\(651\) | −7.73288e7 | + | 1.33937e8i | −0.280284 | + | 0.485466i | ||||
\(652\) | −2.16777e8 | + | 1.25157e8i | −0.782116 | + | 0.451555i | ||||
\(653\) | −1.30467e8 | + | 2.70918e8i | −0.468556 | + | 0.972967i | 0.524061 | + | 0.851680i | \(0.324416\pi\) |
−0.992618 | + | 0.121286i | \(0.961298\pi\) | |||||||
\(654\) | 5.62799e6 | − | 1.73600e6i | 0.0201196 | − | 0.00620608i | ||||
\(655\) | −234582. | + | 3.13028e6i | −0.000834778 | + | 0.0111393i | ||||
\(656\) | 9.18454e6 | − | 4.02401e7i | 0.0325346 | − | 0.142544i | ||||
\(657\) | 5.53117e7 | − | 2.17082e7i | 0.195039 | − | 0.0765471i | ||||
\(658\) | 9.09814e6 | + | 1.21406e8i | 0.0319356 | + | 0.426151i | ||||
\(659\) | −1.39881e8 | − | 2.10837e7i | −0.488769 | − | 0.0736701i | −0.0999657 | − | 0.994991i | \(-0.531873\pi\) |
−0.388803 | + | 0.921321i | \(0.627111\pi\) | |||||||
\(660\) | 4.33027e6 | − | 4.01790e6i | 0.0150620 | − | 0.0139755i | ||||
\(661\) | −4.70368e8 | + | 2.26517e8i | −1.62867 | + | 0.784327i | −0.628695 | + | 0.777652i | \(0.716411\pi\) |
−0.999978 | + | 0.00667517i | \(0.997875\pi\) | |||||||
\(662\) | 1.64004e8 | + | 1.11816e8i | 0.565302 | + | 0.385416i | ||||
\(663\) | −4.16255e8 | − | 1.63368e8i | −1.42830 | − | 0.560566i | ||||
\(664\) | −1.17047e8 | + | 3.79457e8i | −0.399813 | + | 1.29616i | ||||
\(665\) | −1.73208e6 | + | 1.86674e6i | −0.00588984 | + | 0.00634773i | ||||
\(666\) | 1.22057e7 | + | 1.53054e7i | 0.0413180 | + | 0.0518111i | ||||
\(667\) | 6.13990e7 | − | 4.89640e7i | 0.206911 | − | 0.165006i | ||||
\(668\) | 2.80680e8 | + | 2.60433e8i | 0.941634 | + | 0.873709i | ||||
\(669\) | 5.41866e8 | + | 1.67144e8i | 1.80973 | + | 0.558228i | ||||
\(670\) | −321618. | + | 819469.i | −0.00106934 | + | 0.00272463i | ||||
\(671\) | −1.56784e8 | + | 2.29960e8i | −0.518960 | + | 0.761174i | ||||
\(672\) | −9.76514e7 | − | 2.02775e8i | −0.321789 | − | 0.668201i | ||||
\(673\) | −3.29433e8 | − | 3.55045e8i | −1.08074 | − | 1.16476i | −0.985564 | − | 0.169304i | \(-0.945848\pi\) |
−0.0951790 | − | 0.995460i | \(-0.530342\pi\) | |||||||
\(674\) | −1.17434e7 | + | 7.79122e7i | −0.0383542 | + | 0.254464i | ||||
\(675\) | 2.47141e8 | − | 1.85206e7i | 0.803587 | − | 0.0602205i | ||||
\(676\) | −2.49037e7 | − | 6.34536e7i | −0.0806165 | − | 0.205407i | ||||
\(677\) | −3.15646e8 | − | 7.20442e7i | −1.01727 | − | 0.232184i | −0.318796 | − | 0.947823i | \(-0.603278\pi\) |
−0.698470 | + | 0.715639i | \(0.746136\pi\) | |||||||
\(678\) | 2.17098e8 | + | 1.62692e7i | 0.696572 | + | 0.0522008i | ||||
\(679\) | −4.96174e7 | − | 1.60856e8i | −0.158498 | − | 0.513839i | ||||
\(680\) | 7.87441e6 | + | 3.79212e6i | 0.0250433 | + | 0.0120602i | ||||
\(681\) | −1.20959e8 | − | 2.09508e8i | −0.383000 | − | 0.663375i | ||||
\(682\) | 1.61126e8 | + | 9.30264e7i | 0.507941 | + | 0.293260i | ||||
\(683\) | 5.34943e6 | − | 3.64718e6i | 0.0167898 | − | 0.0114471i | −0.554896 | − | 0.831920i | \(-0.687242\pi\) |
0.571686 | + | 0.820473i | \(0.306290\pi\) | |||||||
\(684\) | 4.76400e7 | − | 1.08735e7i | 0.148869 | − | 0.0339783i | ||||
\(685\) | −1.36833e6 | + | 206242.i | −0.00425714 | + | 0.000641660i | ||||
\(686\) | −1.10018e8 | + | 1.37958e8i | −0.340793 | + | 0.427341i | ||||
\(687\) | 3.26917e8i | 1.00825i | ||||||||
\(688\) | 6.24479e7 | − | 2.56835e7i | 0.191757 | − | 0.0788659i | ||||
\(689\) | −2.49611e7 | −0.0763143 | ||||||||
\(690\) | −1.91257e6 | − | 1.52522e6i | −0.00582197 | − | 0.00464287i | ||||
\(691\) | −7.79952e6 | − | 5.17465e7i | −0.0236393 | − | 0.156836i | 0.973897 | − | 0.226991i | \(-0.0728888\pi\) |
−0.997536 | + | 0.0701547i | \(0.977651\pi\) | |||||||
\(692\) | −5.03840e7 | − | 2.20747e8i | −0.152046 | − | 0.666156i | ||||
\(693\) | −4.74893e7 | − | 6.96541e7i | −0.142691 | − | 0.209289i | ||||
\(694\) | −1.04930e8 | + | 1.81745e8i | −0.313923 | + | 0.543730i | ||||
\(695\) | 9.93473e6 | − | 5.73582e6i | 0.0295939 | − | 0.0170860i | ||||
\(696\) | 6.19585e7 | − | 1.28658e8i | 0.183769 | − | 0.381601i | ||||
\(697\) | 3.71566e8 | − | 1.14613e8i | 1.09733 | − | 0.338481i | ||||
\(698\) | 1.48279e7 | − | 1.97865e8i | 0.0436028 | − | 0.581840i | ||||
\(699\) | −1.28688e8 | + | 5.63818e8i | −0.376796 | + | 1.65085i | ||||
\(700\) | 1.42258e8 | − | 5.58321e7i | 0.414746 | − | 0.162776i | ||||
\(701\) | 4.33648e7 | + | 5.78663e8i | 0.125888 | + | 1.67985i | 0.600473 | + | 0.799645i | \(0.294979\pi\) |
−0.474586 | + | 0.880209i | \(0.657402\pi\) | |||||||
\(702\) | −1.23766e8 | − | 1.86547e7i | −0.357758 | − | 0.0539234i | ||||
\(703\) | 7.98848e7 | − | 7.41222e7i | 0.229931 | − | 0.213345i | ||||
\(704\) | −1.53711e8 | + | 7.40234e7i | −0.440542 | + | 0.212154i | ||||
\(705\) | −7.61477e6 | − | 5.19166e6i | −0.0217315 | − | 0.0148163i | ||||
\(706\) | 1.45237e7 | + | 5.70012e6i | 0.0412727 | + | 0.0161983i | ||||
\(707\) | −3.25413e7 | + | 1.05496e8i | −0.0920825 | + | 0.298524i | ||||
\(708\) | 2.90383e8 | − | 3.12959e8i | 0.818223 | − | 0.881834i | ||||
\(709\) | 2.72234e7 | + | 3.41370e7i | 0.0763842 | + | 0.0957827i | 0.818555 | − | 0.574428i | \(-0.194775\pi\) |
−0.742171 | + | 0.670210i | \(0.766204\pi\) | |||||||
\(710\) | −1.20481e6 | + | 960801.i | −0.00336622 | + | 0.00268447i | ||||
\(711\) | 1.43877e8 | + | 1.33499e8i | 0.400298 | + | 0.371422i | ||||
\(712\) | 2.33376e8 | + | 7.19870e7i | 0.646572 | + | 0.199441i | ||||
\(713\) | −6.79891e7 | + | 1.73233e8i | −0.187573 | + | 0.477929i | ||||
\(714\) | 1.29350e8 | − | 1.89722e8i | 0.355363 | − | 0.521222i | ||||
\(715\) | −3.36457e6 | − | 6.98659e6i | −0.00920473 | − | 0.0191138i | ||||
\(716\) | −1.44250e8 | − | 1.55464e8i | −0.392985 | − | 0.423538i | ||||
\(717\) | −8.31119e7 | + | 5.51411e8i | −0.225479 | + | 1.49595i | ||||
\(718\) | 2.20557e8 | − | 1.65284e7i | 0.595864 | − | 0.0446538i | ||||
\(719\) | 1.03112e8 | + | 2.62724e8i | 0.277409 | + | 0.706828i | 0.999881 | + | 0.0154270i | \(0.00491077\pi\) |
−0.722472 | + | 0.691401i | \(0.756994\pi\) | |||||||
\(720\) | 404772. | + | 92386.5i | 0.00108446 | + | 0.000247521i | ||||
\(721\) | 1.00629e8 | + | 7.54110e6i | 0.268483 | + | 0.0201201i | ||||
\(722\) | −2.68328e7 | − | 8.69899e7i | −0.0712943 | − | 0.231131i | ||||
\(723\) | 5.54329e8 | + | 2.66951e8i | 1.46674 | + | 0.706345i | ||||
\(724\) | −1.37716e6 | − | 2.38532e6i | −0.00362886 | − | 0.00628537i | ||||
\(725\) | 1.33160e8 | + | 7.68800e7i | 0.349430 | + | 0.201743i | ||||
\(726\) | −1.78051e8 | + | 1.21393e8i | −0.465303 | + | 0.317238i | ||||
\(727\) | 4.03512e8 | − | 9.20989e7i | 1.05015 | − | 0.239691i | 0.337587 | − | 0.941294i | \(-0.390389\pi\) |
0.712567 | + | 0.701604i | \(0.247532\pi\) | |||||||
\(728\) | −1.84233e8 | + | 2.77687e7i | −0.477500 | + | 0.0719715i | ||||
\(729\) | −1.36602e8 | + | 1.71294e8i | −0.352594 | + | 0.442139i | ||||
\(730\) | 2.80662e6i | 0.00721465i | ||||||||
\(731\) | 5.03694e8 | + | 3.88508e8i | 1.28948 | + | 0.994600i | ||||
\(732\) | −2.09696e8 | −0.534634 | ||||||||
\(733\) | 1.70641e7 | + | 1.36082e7i | 0.0433284 | + | 0.0345532i | 0.644915 | − | 0.764255i | \(-0.276893\pi\) |
−0.601586 | + | 0.798808i | \(0.705464\pi\) | |||||||
\(734\) | −4.28651e7 | − | 2.84392e8i | −0.108397 | − | 0.719165i | ||||
\(735\) | −1.11789e6 | − | 4.89782e6i | −0.00281539 | − | 0.0123350i | ||||
\(736\) | −1.52556e8 | − | 2.23759e8i | −0.382645 | − | 0.561237i | ||||
\(737\) | −8.11149e7 | + | 1.40495e8i | −0.202627 | + | 0.350961i | ||||
\(738\) | −3.85651e7 | + | 2.22656e7i | −0.0959457 | + | 0.0553943i | ||||
\(739\) | 2.42603e8 | − | 5.03769e8i | 0.601121 | − | 1.24824i | −0.349223 | − | 0.937040i | \(-0.613554\pi\) |
0.950344 | − | 0.311201i | \(-0.100731\pi\) | |||||||
\(740\) | 2.13419e6 | − | 658312.i | 0.00526670 | − | 0.00162456i | ||||
\(741\) | 2.13036e7 | − | 2.84277e8i | 0.0523599 | − | 0.698695i | ||||
\(742\) | 2.85218e6 | − | 1.24962e7i | 0.00698177 | − | 0.0305891i | ||||
\(743\) | −3.55313e8 | + | 1.39450e8i | −0.866254 | + | 0.339979i | −0.756511 | − | 0.653981i | \(-0.773098\pi\) |
−0.109742 | + | 0.993960i | \(0.535003\pi\) | |||||||
\(744\) | 2.52881e7 | + | 3.37446e8i | 0.0614040 | + | 0.819380i | ||||
\(745\) | −9.58817e6 | − | 1.44518e6i | −0.0231882 | − | 0.00349506i | ||||
\(746\) | 2.07472e8 | − | 1.92506e8i | 0.499738 | − | 0.463689i | ||||
\(747\) | −1.60112e8 | + | 7.71058e7i | −0.384115 | + | 0.184980i | ||||
\(748\) | 5.51267e8 | + | 3.75848e8i | 1.31722 | + | 0.898064i | ||||
\(749\) | −1.00248e8 | − | 3.93443e7i | −0.238577 | − | 0.0936347i | ||||
\(750\) | 2.82401e6 | − | 9.15520e6i | 0.00669394 | − | 0.0217012i | ||||
\(751\) | 3.84512e8 | − | 4.14405e8i | 0.907799 | − | 0.978375i | −0.0920496 | − | 0.995754i | \(-0.529342\pi\) |
0.999849 | + | 0.0173794i | \(0.00553230\pi\) | |||||||
\(752\) | −6.88926e7 | − | 8.63886e7i | −0.162001 | − | 0.203143i | ||||
\(753\) | 1.36357e8 | − | 1.08741e8i | 0.319369 | − | 0.254688i | ||||
\(754\) | −5.69242e7 | − | 5.28179e7i | −0.132795 | − | 0.123216i | ||||
\(755\) | 187445. | + | 57819.0i | 0.000435544 | + | 0.000134348i | ||||
\(756\) | −5.67154e7 | + | 1.44508e8i | −0.131261 | + | 0.334447i | ||||
\(757\) | −4.47744e8 | + | 6.56720e8i | −1.03215 | + | 1.51388i | −0.184850 | + | 0.982767i | \(0.559180\pi\) |
−0.847299 | + | 0.531117i | \(0.821773\pi\) | |||||||
\(758\) | −2.73481e7 | − | 5.67890e7i | −0.0627943 | − | 0.130394i | ||||
\(759\) | −3.06629e8 | − | 3.30467e8i | −0.701273 | − | 0.755793i | ||||
\(760\) | −830438. | + | 5.50959e6i | −0.00189176 | + | 0.0125510i | ||||
\(761\) | −1.51586e8 | + | 1.13598e7i | −0.343957 | + | 0.0257760i | −0.245589 | − | 0.969374i | \(-0.578981\pi\) |
−0.0983680 | + | 0.995150i | \(0.531362\pi\) | |||||||
\(762\) | −5.47377e7 | − | 1.39469e8i | −0.123715 | − | 0.315220i | ||||
\(763\) | −9.34890e6 | − | 2.13383e6i | −0.0210468 | − | 0.00480381i | ||||
\(764\) | 4.47825e8 | + | 3.35598e7i | 1.00422 | + | 0.0752557i | ||||
\(765\) | 1.15288e6 | + | 3.73755e6i | 0.00257514 | + | 0.00834838i | ||||
\(766\) | 6.13826e7 | + | 2.95603e7i | 0.136571 | + | 0.0657692i | ||||
\(767\) | −2.80219e8 | − | 4.85354e8i | −0.621029 | − | 1.07565i | ||||
\(768\) | −3.61123e8 | − | 2.08494e8i | −0.797207 | − | 0.460268i | ||||
\(769\) | −7.07030e8 | + | 4.82045e8i | −1.55474 | + | 1.06001i | −0.586514 | + | 0.809939i | \(0.699500\pi\) |
−0.968229 | + | 0.250067i | \(0.919547\pi\) | |||||||
\(770\) | 3.88214e6 | − | 886073.i | 0.00850353 | − | 0.00194087i | ||||
\(771\) | 6.40005e8 | − | 9.64652e7i | 1.39643 | − | 0.210478i | ||||
\(772\) | −6.73446e7 | + | 8.44475e7i | −0.146370 | + | 0.183542i | ||||
\(773\) | − | 2.21151e8i | − | 0.478796i | −0.970922 | − | 0.239398i | \(-0.923050\pi\) | ||
0.970922 | − | 0.239398i | \(-0.0769501\pi\) | |||||||
\(774\) | −6.61389e7 | − | 3.05416e7i | −0.142638 | − | 0.0658671i | ||||
\(775\) | −3.64365e8 | −0.782764 | ||||||||
\(776\) | −2.87961e8 | − | 2.29642e8i | −0.616239 | − | 0.491434i | ||||
\(777\) | −2.11117e7 | − | 1.40067e8i | −0.0450050 | − | 0.298589i | ||||
\(778\) | 1.16792e7 | + | 5.11698e7i | 0.0248012 | + | 0.108661i | ||||
\(779\) | 1.39642e8 | + | 2.04817e8i | 0.295396 | + | 0.433266i | ||||
\(780\) | 2.92125e6 | − | 5.05976e6i | 0.00615581 | − | 0.0106622i | ||||
\(781\) | −2.45937e8 | + | 1.41992e8i | −0.516262 | + | 0.298064i | ||||
\(782\) | 1.19882e8 | − | 2.48938e8i | 0.250688 | − | 0.520560i | ||||
\(783\) | −1.49253e8 | + | 4.60385e7i | −0.310913 | + | 0.0959039i | ||||
\(784\) | 4.50108e6 | − | 6.00628e7i | 0.00934047 | − | 0.124640i | ||||
\(785\) | −2.31077e6 | + | 1.01241e7i | −0.00477691 | + | 0.0209290i | ||||
\(786\) | 1.67974e8 | − | 6.59250e7i | 0.345919 | − | 0.135763i | ||||
\(787\) | −3.16794e7 | − | 4.22732e8i | −0.0649910 | − | 0.867244i | −0.930486 | − | 0.366327i | \(-0.880615\pi\) |
0.865495 | − | 0.500917i | \(-0.167004\pi\) | |||||||
\(788\) | −4.76403e8 | − | 7.18062e7i | −0.973634 | − | 0.146752i | ||||
\(789\) | −3.37473e8 | + | 3.13129e8i | −0.687080 | + | 0.637517i | ||||
\(790\) | −8.35267e6 | + | 4.02243e6i | −0.0169412 | + | 0.00815845i | ||||
\(791\) | −2.92870e8 | − | 1.99676e8i | −0.591760 | − | 0.403455i | ||||
\(792\) | −1.71704e8 | − | 6.73888e7i | −0.345625 | − | 0.135648i | ||||
\(793\) | −8.11384e7 | + | 2.63044e8i | −0.162707 | + | 0.527484i | ||||
\(794\) | 5.78974e7 | − | 6.23985e7i | 0.115664 | − | 0.124656i | ||||
\(795\) | 604965. | + | 758602.i | 0.00120401 | + | 0.00150978i | ||||
\(796\) | −4.67426e7 | + | 3.72760e7i | −0.0926774 | + | 0.0739077i | ||||
\(797\) | −6.90021e8 | − | 6.40246e8i | −1.36297 | − | 1.26465i | −0.932080 | − | 0.362252i | \(-0.882008\pi\) |
−0.430894 | − | 0.902403i | \(-0.641802\pi\) | |||||||
\(798\) | 1.39883e8 | + | 4.31482e7i | 0.275268 | + | 0.0849090i | ||||
\(799\) | 3.80300e8 | − | 9.68989e8i | 0.745566 | − | 1.89967i | ||||
\(800\) | 2.98693e8 | − | 4.38102e8i | 0.583385 | − | 0.855669i | ||||
\(801\) | 4.74221e7 | + | 9.84730e7i | 0.0922748 | + | 0.191611i | ||||
\(802\) | 1.29662e8 | + | 1.39742e8i | 0.251356 | + | 0.270897i | ||||
\(803\) | −7.70872e7 | + | 5.11440e8i | −0.148880 | + | 0.987753i | ||||
\(804\) | −1.21887e8 | + | 9.13418e6i | −0.234525 | + | 0.0175753i | ||||
\(805\) | 1.45513e6 | + | 3.70761e6i | 0.00278942 | + | 0.00710733i | ||||
\(806\) | 1.79402e8 | + | 4.09474e7i | 0.342628 | + | 0.0782026i | ||||
\(807\) | 2.74198e8 | + | 2.05483e7i | 0.521728 | + | 0.0390981i | ||||
\(808\) | 7.12007e7 | + | 2.30827e8i | 0.134974 | + | 0.437575i | ||||
\(809\) | −5.70001e8 | − | 2.74498e8i | −1.07654 | − | 0.518434i | −0.190330 | − | 0.981720i | \(-0.560956\pi\) |
−0.886209 | + | 0.463286i | \(0.846670\pi\) | |||||||
\(810\) | 3.20405e6 | + | 5.54958e6i | 0.00602899 | + | 0.0104425i | ||||
\(811\) | 5.15293e8 | + | 2.97505e8i | 0.966033 | + | 0.557739i | 0.898024 | − | 0.439945i | \(-0.145002\pi\) |
0.0680083 | + | 0.997685i | \(0.478336\pi\) | |||||||
\(812\) | −7.95776e7 | + | 5.42551e7i | −0.148636 | + | 0.101338i | ||||
\(813\) | 5.79008e7 | − | 1.32155e7i | 0.107749 | − | 0.0245930i | ||||
\(814\) | −1.68500e8 | + | 2.53974e7i | −0.312412 | + | 0.0470885i | ||||
\(815\) | 7.96390e6 | − | 9.98642e6i | 0.0147114 | − | 0.0184475i | ||||
\(816\) | 2.08400e8i | 0.383555i | ||||||||
\(817\) | −1.42026e8 | + | 3.79850e8i | −0.260437 | + | 0.696541i | ||||
\(818\) | 3.08294e8 | 0.563255 | ||||||||
\(819\) | −6.51888e7 | − | 5.19863e7i | −0.118665 | − | 0.0946319i | ||||
\(820\) | 757201. | + | 5.02370e6i | 0.00137331 | + | 0.00911134i | ||||
\(821\) | −1.43846e8 | − | 6.30229e8i | −0.259936 | − | 1.13886i | −0.921319 | − | 0.388807i | \(-0.872887\pi\) |
0.661383 | − | 0.750048i | \(-0.269970\pi\) | |||||||
\(822\) | 4.48100e7 | + | 6.57242e7i | 0.0806788 | + | 0.118334i | ||||
\(823\) | −1.31703e8 | + | 2.28116e8i | −0.236263 | + | 0.409220i | −0.959639 | − | 0.281235i | \(-0.909256\pi\) |
0.723376 | + | 0.690455i | \(0.242589\pi\) | |||||||
\(824\) | 1.91214e8 | − | 1.10397e8i | 0.341772 | − | 0.197322i | ||||
\(825\) | 3.82968e8 | − | 7.95241e8i | 0.682025 | − | 1.41624i | ||||
\(826\) | 2.75001e8 | − | 8.48266e7i | 0.487972 | − | 0.150519i | ||||
\(827\) | 2.88013e7 | − | 3.84326e8i | 0.0509208 | − | 0.679491i | −0.912083 | − | 0.410005i | \(-0.865527\pi\) |
0.963004 | − | 0.269486i | \(-0.0868539\pi\) | |||||||
\(828\) | 1.70069e7 | − | 7.45120e7i | 0.0299594 | − | 0.131261i | ||||
\(829\) | 7.78318e8 | − | 3.05467e8i | 1.36613 | − | 0.536168i | 0.434863 | − | 0.900496i | \(-0.356797\pi\) |
0.931271 | + | 0.364328i | \(0.118701\pi\) | |||||||
\(830\) | −627288. | − | 8.37058e6i | −0.00109707 | − | 0.0146393i | ||||
\(831\) | −1.22831e9 | − | 1.85138e8i | −2.14045 | − | 0.322621i | ||||
\(832\) | −1.23694e8 | + | 1.14771e8i | −0.214773 | + | 0.199280i | ||||
\(833\) | 5.11230e8 | − | 2.46196e8i | 0.884467 | − | 0.425937i | ||||
\(834\) | −5.44858e8 | − | 3.71478e8i | −0.939259 | − | 0.640376i | ||||
\(835\) | −1.81878e7 | − | 7.13820e6i | −0.0312407 | − | 0.0122611i | ||||
\(836\) | −1.25374e8 | + | 4.06452e8i | −0.214580 | + | 0.695650i | ||||
\(837\) | 2.51751e8 | − | 2.71324e8i | 0.429334 | − | 0.462712i | ||||
\(838\) | 4.43535e7 | + | 5.56175e7i | 0.0753695 | + | 0.0945103i | ||||
\(839\) | −5.55215e8 | + | 4.42769e8i | −0.940103 | + | 0.749707i | −0.968273 | − | 0.249896i | \(-0.919604\pi\) |
0.0281697 | + | 0.999603i | \(0.491032\pi\) | |||||||
\(840\) | 5.30906e6 | + | 4.92609e6i | 0.00895735 | + | 0.00831121i | ||||
\(841\) | 4.75798e8 | + | 1.46764e8i | 0.799898 | + | 0.246736i | ||||
\(842\) | 1.29003e8 | − | 3.28693e8i | 0.216104 | − | 0.550623i | ||||
\(843\) | 4.91750e7 | − | 7.21265e7i | 0.0820847 | − | 0.120396i | ||||
\(844\) | 2.50431e8 | + | 5.20024e8i | 0.416543 | + | 0.864961i | ||||
\(845\) | 2.36591e6 | + | 2.54984e6i | 0.00392128 | + | 0.00422613i | ||||
\(846\) | −1.77676e7 | + | 1.17881e8i | −0.0293440 | + | 0.194684i | ||||
\(847\) | 3.49883e8 | − | 2.62201e7i | 0.575801 | − | 0.0431503i | ||||
\(848\) | 4.25002e6 | + | 1.08289e7i | 0.00696953 | + | 0.0177581i | ||||
\(849\) | 1.30336e9 | + | 2.97482e8i | 2.12981 | + | 0.486114i | ||||
\(850\) | 5.39462e8 | + | 4.04271e7i | 0.878423 | + | 0.0658287i | ||||
\(851\) | −5.02395e7 | − | 1.62872e8i | −0.0815185 | − | 0.264277i | ||||
\(852\) | −1.92773e8 | − | 9.28346e7i | −0.311693 | − | 0.150104i | ||||
\(853\) | 3.74550e8 | + | 6.48739e8i | 0.603480 | + | 1.04526i | 0.992290 | + | 0.123939i | \(0.0395528\pi\) |
−0.388810 | + | 0.921318i | \(0.627114\pi\) | |||||||
\(854\) | −1.22416e8 | − | 7.06770e7i | −0.196546 | − | 0.113476i | ||||
\(855\) | −2.06024e6 | + | 1.40465e6i | −0.00329624 | + | 0.00224734i | ||||
\(856\) | −2.29723e8 | + | 5.24328e7i | −0.366255 | + | 0.0835953i | ||||
\(857\) | 1.20809e9 | − | 1.82090e8i | 1.91936 | − | 0.289297i | 0.923756 | − | 0.382982i | \(-0.125103\pi\) |
0.995602 | + | 0.0936855i | \(0.0298648\pi\) | |||||||
\(858\) | −2.77931e8 | + | 3.48515e8i | −0.440023 | + | 0.551771i | ||||
\(859\) | − | 4.81913e8i | − | 0.760308i | −0.924923 | − | 0.380154i | \(-0.875871\pi\) | ||
0.924923 | − | 0.380154i | \(-0.124129\pi\) | |||||||
\(860\) | −6.00027e6 | + | 5.75102e6i | −0.00943355 | + | 0.00904169i | ||||
\(861\) | 3.22215e8 | 0.504820 | ||||||||
\(862\) | −1.28025e8 | − | 1.02096e8i | −0.199881 | − | 0.159400i | ||||
\(863\) | −5.36943e7 | − | 3.56239e8i | −0.0835403 | − | 0.554254i | −0.990974 | − | 0.134057i | \(-0.957199\pi\) |
0.907433 | − | 0.420196i | \(-0.138039\pi\) | |||||||
\(864\) | 1.19855e8 | + | 5.25121e8i | 0.185830 | + | 0.814175i | ||||
\(865\) | 6.50864e6 | + | 9.54642e6i | 0.0100564 | + | 0.0147500i | ||||
\(866\) | −2.72954e8 | + | 4.72771e8i | −0.420277 | + | 0.727942i | ||||
\(867\) | −1.05913e9 | + | 6.11489e8i | −1.62514 | + | 0.938277i | ||||
\(868\) | 9.90266e7 | − | 2.05631e8i | 0.151423 | − | 0.314434i | ||||
\(869\) | −1.63256e9 | + | 5.03577e8i | −2.48776 | + | 0.767373i | ||||
\(870\) | −225577. | + | 3.01012e6i | −0.000342561 | + | 0.00457115i | ||||
\(871\) | −3.57043e7 | + | 1.56431e8i | −0.0540339 | + | 0.236738i | ||||
\(872\) | −1.95311e7 | + | 7.66541e6i | −0.0294563 | + | 0.0115607i | ||||
\(873\) | −1.23177e7 | − | 1.64369e8i | −0.0185135 | − | 0.247045i | ||||
\(874\) | 1.74178e8 | + | 2.62531e7i | 0.260890 | + | 0.0393229i | ||||
\(875\) | −1.14350e7 | + | 1.06102e7i | −0.0170692 | + | 0.0158379i | ||||
\(876\) | −3.51096e8 | + | 1.69079e8i | −0.522293 | + | 0.251523i | ||||
\(877\) | −6.66689e8 | − | 4.54541e8i | −0.988381 | − | 0.673867i | −0.0427424 | − | 0.999086i | \(-0.513609\pi\) |
−0.945639 | + | 0.325219i | \(0.894562\pi\) | |||||||
\(878\) | −3.91846e8 | − | 1.53788e8i | −0.578938 | − | 0.227217i | ||||
\(879\) | −2.61872e8 | + | 8.48967e8i | −0.385587 | + | 1.25004i | ||||
\(880\) | −2.45812e6 | + | 2.64923e6i | −0.00360708 | + | 0.00388751i | ||||
\(881\) | 1.33844e8 | + | 1.67836e8i | 0.195737 | + | 0.245446i | 0.870008 | − | 0.493038i | \(-0.164114\pi\) |
−0.674271 | + | 0.738484i | \(0.735542\pi\) | |||||||
\(882\) | −5.08057e7 | + | 4.05162e7i | −0.0740468 | + | 0.0590504i | ||||
\(883\) | 9.63907e8 | + | 8.94375e8i | 1.40008 | + | 1.29908i | 0.901856 | + | 0.432037i | \(0.142205\pi\) |
0.498225 | + | 0.867048i | \(0.333985\pi\) | |||||||
\(884\) | 6.30579e8 | + | 1.94508e8i | 0.912815 | + | 0.281566i | ||||
\(885\) | −7.95909e6 | + | 2.02794e7i | −0.0114824 | + | 0.0292568i | ||||
\(886\) | 7.35988e7 | − | 1.07950e8i | 0.105821 | − | 0.155210i | ||||
\(887\) | −2.50216e8 | − | 5.19580e8i | −0.358546 | − | 0.744529i | 0.641193 | − | 0.767380i | \(-0.278440\pi\) |
−0.999739 | + | 0.0228513i | \(0.992726\pi\) | |||||||
\(888\) | −2.10806e8 | − | 2.27194e8i | −0.301053 | − | 0.324458i | ||||
\(889\) | −3.63577e7 | + | 2.41218e8i | −0.0517477 | + | 0.343324i | ||||
\(890\) | −5.14813e6 | + | 385799.i | −0.00730263 | + | 0.000547256i | ||||
\(891\) | 4.31437e8 | + | 1.09928e9i | 0.609936 | + | 1.55409i | ||||
\(892\) | −8.15846e8 | − | 1.86211e8i | −1.14951 | − | 0.262369i | ||||
\(893\) | 6.61761e8 | + | 4.95922e7i | 0.929281 | + | 0.0696400i | ||||
\(894\) | 1.64296e8 | + | 5.32635e8i | 0.229940 | + | 0.745448i | ||||
\(895\) | 9.75033e6 | + | 4.69551e6i | 0.0136003 | + | 0.00654958i | ||||
\(896\) | 1.91497e8 | + | 3.31683e8i | 0.266219 | + | 0.461104i | ||||
\(897\) | −3.86139e8 | − | 2.22937e8i | −0.535015 | − | 0.308891i | ||||
\(898\) | −3.53954e8 | + | 2.41322e8i | −0.488785 | + | 0.333248i | ||||
\(899\) | 2.23877e8 | − | 5.10984e7i | 0.308127 | − | 0.0703279i | ||||
\(900\) | 1.47969e8 | − | 2.23028e7i | 0.202975 | − | 0.0305936i | ||||
\(901\) | −6.83293e7 | + | 8.56823e7i | −0.0934185 | + | 0.117143i | ||||
\(902\) | − | 3.87624e8i | − | 0.528191i | ||||||
\(903\) | 3.03952e8 | + | 4.30665e8i | 0.412803 | + | 0.584892i | ||||
\(904\) | −7.75566e8 | −1.04982 | ||||||||
\(905\) | 109886. | + | 87631.1i | 0.000148251 | + | 0.000118226i | ||||
\(906\) | −1.68063e6 | − | 1.11502e7i | −0.00225988 | − | 0.0149934i | ||||
\(907\) | −1.23009e8 | − | 5.38936e8i | −0.164859 | − | 0.722296i | −0.987999 | − | 0.154457i | \(-0.950637\pi\) |
0.823140 | − | 0.567838i | \(-0.192220\pi\) | |||||||
\(908\) | 2.01109e8 | + | 2.94973e8i | 0.268642 | + | 0.394026i | ||||
\(909\) | −5.40514e7 | + | 9.36198e7i | −0.0719640 | + | 0.124645i | ||||
\(910\) | 3.41074e6 | − | 1.96919e6i | 0.00452610 | − | 0.00261315i | ||||
\(911\) | 2.27753e8 | − | 4.72933e8i | 0.301237 | − | 0.625525i | −0.694322 | − | 0.719665i | \(-0.744296\pi\) |
0.995559 | + | 0.0941392i | \(0.0300099\pi\) | |||||||
\(912\) | −1.26955e8 | + | 3.91605e7i | −0.167366 | + | 0.0516255i | ||||
\(913\) | 1.15600e8 | − | 1.54257e9i | 0.151895 | − | 2.02690i | ||||
\(914\) | −1.08055e8 | + | 4.73422e8i | −0.141517 | + | 0.620025i | ||||
\(915\) | 9.96078e6 | − | 3.90932e6i | 0.0130026 | − | 0.00510314i | ||||
\(916\) | −3.60528e7 | − | 4.81092e8i | −0.0469087 | − | 0.625953i | ||||
\(917\) | −2.90518e8 | − | 4.37885e7i | −0.376760 | − | 0.0567874i | ||||
\(918\) | −4.02836e8 | + | 3.73777e8i | −0.520715 | + | 0.483153i | ||||
\(919\) | 5.32767e8 | − | 2.56567e8i | 0.686422 | − | 0.330563i | −0.0579587 | − | 0.998319i | \(-0.518459\pi\) |
0.744381 | + | 0.667756i | \(0.232745\pi\) | |||||||
\(920\) | 7.20042e6 | + | 4.90916e6i | 0.00924686 | + | 0.00630440i | ||||
\(921\) | 9.51156e8 | + | 3.73301e8i | 1.21751 | + | 0.477838i | ||||
\(922\) | −1.58134e8 | + | 5.12656e8i | −0.201758 | + | 0.654084i | ||||
\(923\) | −1.91043e8 | + | 2.05895e8i | −0.242955 | + | 0.261843i | ||||
\(924\) | 3.44715e8 | + | 4.32259e8i | 0.436963 | + | 0.547934i | ||||
\(925\) | 2.60911e8 | − | 2.08070e8i | 0.329661 | − | 0.262896i | ||||
\(926\) | 4.71176e8 | + | 4.37187e8i | 0.593403 | + | 0.550598i | ||||
\(927\) | 9.44205e7 | + | 2.91249e7i | 0.118530 | + | 0.0365616i | ||||
\(928\) | −1.22087e8 | + | 3.11072e8i | −0.152765 | + | 0.389239i | ||||
\(929\) | 7.99317e8 | − | 1.17238e9i | 0.996946 | − | 1.46225i | 0.113602 | − | 0.993526i | \(-0.463761\pi\) |
0.883344 | − | 0.468725i | \(-0.155287\pi\) | |||||||
\(930\) | −3.10360e6 | − | 6.44470e6i | −0.00385849 | − | 0.00801223i | ||||
\(931\) | 2.46045e8 | + | 2.65174e8i | 0.304906 | + | 0.328611i | ||||
\(932\) | 1.27199e8 | − | 8.43909e8i | 0.157121 | − | 1.04243i | ||||
\(933\) | 1.45101e9 | − | 1.08739e8i | 1.78660 | − | 0.133887i | ||||
\(934\) | −6.63008e7 | − | 1.68932e8i | −0.0813726 | − | 0.207334i | ||||
\(935\) | −3.31927e7 | − | 7.57601e6i | −0.0406076 | − | 0.00926842i | ||||
\(936\) | −1.81925e8 | − | 1.36334e7i | −0.221853 | − | 0.0166256i | ||||
\(937\) | 1.03992e8 | + | 3.37133e8i | 0.126410 | + | 0.409810i | 0.996550 | − | 0.0829940i | \(-0.0264482\pi\) |
−0.870140 | + | 0.492804i | \(0.835972\pi\) | |||||||
\(938\) | −7.42340e7 | − | 3.57492e7i | −0.0899486 | − | 0.0433169i | ||||
\(939\) | −4.87180e7 | − | 8.43821e7i | −0.0588428 | − | 0.101919i | ||||
\(940\) | 1.17785e7 | + | 6.80030e6i | 0.0141810 | + | 0.00818738i | ||||
\(941\) | −4.23705e8 | + | 2.88877e8i | −0.508505 | + | 0.346693i | −0.790238 | − | 0.612800i | \(-0.790043\pi\) |
0.281733 | + | 0.959493i | \(0.409091\pi\) | |||||||
\(942\) | 5.81983e8 | − | 1.32834e8i | 0.696238 | − | 0.158912i | ||||
\(943\) | 3.83387e8 | − | 5.77863e7i | 0.457196 | − | 0.0689112i | ||||
\(944\) | −1.62849e8 | + | 2.04207e8i | −0.193584 | + | 0.242747i | ||||
\(945\) | − | 7.92164e6i | − | 0.00938685i | ||||||
\(946\) | 5.18088e8 | − | 3.65654e8i | 0.611971 | − | 0.431914i | ||||
\(947\) | −1.26752e9 | −1.49247 | −0.746235 | − | 0.665682i | \(-0.768141\pi\) | ||||
−0.746235 | + | 0.665682i | \(0.768141\pi\) | |||||||
\(948\) | −1.00638e9 | − | 8.02559e8i | −1.18123 | − | 0.942003i | ||||
\(949\) | 7.62433e7 | + | 5.05841e8i | 0.0892078 | + | 0.591855i | ||||
\(950\) | 7.67427e7 | + | 3.36232e8i | 0.0895089 | + | 0.392164i | ||||
\(951\) | 3.36693e8 | + | 4.93838e8i | 0.391464 | + | 0.574173i | ||||
\(952\) | −4.09006e8 | + | 7.08419e8i | −0.474044 | + | 0.821068i | ||||
\(953\) | −6.34636e8 | + | 3.66407e8i | −0.733240 | + | 0.423336i | −0.819606 | − | 0.572927i | \(-0.805808\pi\) |
0.0863666 | + | 0.996263i | \(0.472474\pi\) | |||||||
\(954\) | 5.44557e6 | − | 1.13078e7i | 0.00627189 | − | 0.0130237i | ||||
\(955\) | −2.18978e7 | + | 6.75458e6i | −0.0251415 | + | 0.00775512i | ||||
\(956\) | 6.14973e7 | − | 8.20624e8i | 0.0703854 | − | 0.939227i | ||||
\(957\) | −1.23783e8 | + | 5.42327e8i | −0.141229 | + | 0.618765i | ||||
\(958\) | 2.46655e7 | − | 9.68049e6i | 0.0280539 | − | 0.0110103i | ||||
\(959\) | −9.67864e6 | − | 1.29152e8i | −0.0109738 | − | 0.146436i | ||||
\(960\) | 6.48596e6 | + | 977601.i | 0.00733095 | + | 0.00110496i | ||||
\(961\) | 2.51687e8 | − | 2.33531e8i | 0.283589 | − | 0.263132i | ||||
\(962\) | −1.51848e8 | + | 7.31259e7i | −0.170562 | + | 0.0821384i | ||||
\(963\) | −8.71270e7 | − | 5.94022e7i | −0.0975605 | − | 0.0665156i | ||||
\(964\) | −8.45193e8 | − | 3.31714e8i | −0.943463 | − | 0.370282i | ||||
\(965\) | 1.62461e6 | − | 5.26684e6i | 0.00180787 | − | 0.00586096i | ||||
\(966\) | 1.55731e8 | − | 1.67838e8i | 0.172760 | − | 0.186191i | ||||
\(967\) | −2.33618e8 | − | 2.92948e8i | −0.258361 | − | 0.323975i | 0.635686 | − | 0.771948i | \(-0.280717\pi\) |
−0.894047 | + | 0.447973i | \(0.852146\pi\) | |||||||
\(968\) | 6.00207e8 | − | 4.78649e8i | 0.661721 | − | 0.527705i | ||||
\(969\) | −9.17502e8 | − | 8.51317e8i | −1.00841 | − | 0.935665i | ||||
\(970\) | 7.43973e6 | + | 2.29485e6i | 0.00815158 | + | 0.00251443i | ||||
\(971\) | 1.62433e8 | − | 4.13873e8i | 0.177426 | − | 0.452074i | −0.814300 | − | 0.580444i | \(-0.802879\pi\) |
0.991726 | + | 0.128369i | \(0.0409743\pi\) | |||||||
\(972\) | −2.06293e8 | + | 3.02576e8i | −0.224639 | + | 0.329485i | ||||
\(973\) | 4.65854e8 | + | 9.67357e8i | 0.505722 | + | 1.05014i | ||||
\(974\) | −4.11600e8 | − | 4.43600e8i | −0.445450 | − | 0.480081i | ||||
\(975\) | 1.30112e8 | − | 8.63237e8i | 0.140379 | − | 0.931357i | ||||
\(976\) | 1.27932e8 | − | 9.58716e6i | 0.137603 | − | 0.0103119i | ||||
\(977\) | 2.67266e8 | + | 6.80981e8i | 0.286589 | + | 0.730216i | 0.999578 | + | 0.0290416i | \(0.00924552\pi\) |
−0.712989 | + | 0.701175i | \(0.752659\pi\) | |||||||
\(978\) | −7.15849e8 | − | 1.63388e8i | −0.765253 | − | 0.174664i | ||||
\(979\) | −9.48720e8 | − | 7.10967e7i | −1.01109 | − | 0.0757708i | ||||
\(980\) | 2.18524e6 | + | 7.08436e6i | 0.00232177 | + | 0.00752701i | ||||
\(981\) | −8.45982e6 | − | 4.07404e6i | −0.00896096 | − | 0.00431537i | ||||
\(982\) | 4.98040e8 | + | 8.62630e8i | 0.525932 | + | 0.910941i | ||||
\(983\) | −1.06686e9 | − | 6.15954e8i | −1.12318 | − | 0.648467i | −0.180967 | − | 0.983489i | \(-0.557923\pi\) |
−0.942210 | + | 0.335022i | \(0.891256\pi\) | |||||||
\(984\) | 5.82506e8 | − | 3.97146e8i | 0.611386 | − | 0.416836i | ||||
\(985\) | 2.39684e7 | − | 5.47062e6i | 0.0250801 | − | 0.00572437i | ||||
\(986\) | −3.37131e8 | + | 5.08143e7i | −0.351696 | + | 0.0530097i | ||||
\(987\) | 5.37814e8 | − | 6.74397e8i | 0.559346 | − | 0.701398i | ||||
\(988\) | 4.20693e8i | 0.436209i | ||||||||
\(989\) | 4.38893e8 | + | 4.57914e8i | 0.453701 | + | 0.473364i | ||||
\(990\) | 3.89908e6 | 0.00401843 | ||||||||
\(991\) | 6.44957e8 | + | 5.14336e8i | 0.662689 | + | 0.528477i | 0.896072 | − | 0.443908i | \(-0.146408\pi\) |
−0.233384 | + | 0.972385i | \(0.574980\pi\) | |||||||
\(992\) | −1.18024e8 | − | 7.83041e8i | −0.120903 | − | 0.802139i | ||||
\(993\) | −3.12943e8 | − | 1.37109e9i | −0.319608 | − | 1.40029i | ||||
\(994\) | −8.12476e7 | − | 1.19168e8i | −0.0827277 | − | 0.121339i | ||||
\(995\) | 1.52540e6 | − | 2.64207e6i | 0.00154851 | − | 0.00268210i | ||||
\(996\) | 1.00933e9 | − | 5.82739e8i | 1.02154 | − | 0.589788i | ||||
\(997\) | −4.28261e7 | + | 8.89294e7i | −0.0432139 | + | 0.0897346i | −0.921458 | − | 0.388478i | \(-0.873001\pi\) |
0.878244 | + | 0.478213i | \(0.158715\pi\) | |||||||
\(998\) | −4.12452e8 | + | 1.27225e8i | −0.414937 | + | 0.127991i | ||||
\(999\) | −2.53333e7 | + | 3.38049e8i | −0.0254094 | + | 0.339065i |
(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 | 43.7.h.a.19.8 | ✓ | 252 | |
43.34 | odd | 42 | inner | 43.7.h.a.34.8 | yes | 252 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.h.a.19.8 | ✓ | 252 | 1.1 | even | 1 | trivial | |
43.7.h.a.34.8 | yes | 252 | 43.34 | odd | 42 | inner |