Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,7,Mod(27,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.27");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.d (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.74205517755\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 9440 x^{18} + 37579488 x^{16} + 83109028728 x^{14} + 112838424559344 x^{12} + \cdots + 83\!\cdots\!96 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{20}\cdot 3^{4}\cdot 19^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 31.8 | ||
Root | \(-5.69488i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 38.31 |
Dual form | 38.7.d.a.27.8 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.89898 | − | 2.82843i | 0.612372 | − | 0.353553i | ||||
\(3\) | −5.20717 | + | 3.00636i | −0.192858 | + | 0.111347i | −0.593320 | − | 0.804967i | \(-0.702183\pi\) |
0.400462 | + | 0.916313i | \(0.368850\pi\) | |||||||
\(4\) | 16.0000 | − | 27.7128i | 0.250000 | − | 0.433013i | ||||
\(5\) | 116.624 | + | 201.999i | 0.932992 | + | 1.61599i | 0.778176 | + | 0.628046i | \(0.216145\pi\) |
0.154815 | + | 0.987943i | \(0.450522\pi\) | |||||||
\(6\) | −17.0065 | + | 29.4562i | −0.0787339 | + | 0.136371i | ||||
\(7\) | −326.637 | −0.952295 | −0.476148 | − | 0.879365i | \(-0.657967\pi\) | ||||
−0.476148 | + | 0.879365i | \(0.657967\pi\) | |||||||
\(8\) | − | 181.019i | − | 0.353553i | ||||||
\(9\) | −346.424 | + | 600.023i | −0.475204 | + | 0.823077i | ||||
\(10\) | 1142.68 | + | 659.725i | 1.14268 | + | 0.659725i | ||||
\(11\) | 1873.68 | 1.40772 | 0.703861 | − | 0.710337i | \(-0.251458\pi\) | ||||
0.703861 | + | 0.710337i | \(0.251458\pi\) | |||||||
\(12\) | 192.407i | 0.111347i | ||||||||
\(13\) | 2626.92 | + | 1516.65i | 1.19568 | + | 0.690328i | 0.959590 | − | 0.281402i | \(-0.0907995\pi\) |
0.236093 | + | 0.971730i | \(0.424133\pi\) | |||||||
\(14\) | −1600.19 | + | 923.870i | −0.583159 | + | 0.336687i | ||||
\(15\) | −1214.56 | − | 701.227i | −0.359870 | − | 0.207771i | ||||
\(16\) | −512.000 | − | 886.810i | −0.125000 | − | 0.216506i | ||||
\(17\) | 841.664 | + | 1457.80i | 0.171314 | + | 0.296724i | 0.938879 | − | 0.344246i | \(-0.111866\pi\) |
−0.767566 | + | 0.640970i | \(0.778532\pi\) | |||||||
\(18\) | 3919.34i | 0.672040i | ||||||||
\(19\) | −6803.00 | − | 874.672i | −0.991836 | − | 0.127522i | ||||
\(20\) | 7463.93 | 0.932992 | ||||||||
\(21\) | 1700.85 | − | 981.989i | 0.183658 | − | 0.106035i | ||||
\(22\) | 9179.12 | − | 5299.56i | 0.862051 | − | 0.497705i | ||||
\(23\) | 8854.81 | − | 15337.0i | 0.727773 | − | 1.26054i | −0.230049 | − | 0.973179i | \(-0.573889\pi\) |
0.957822 | − | 0.287361i | \(-0.0927779\pi\) | |||||||
\(24\) | 544.209 | + | 942.598i | 0.0393670 | + | 0.0681856i | ||||
\(25\) | −19389.8 | + | 33584.1i | −1.24095 | + | 2.14938i | ||||
\(26\) | 17158.9 | 0.976271 | ||||||||
\(27\) | − | 8549.17i | − | 0.434343i | ||||||
\(28\) | −5226.20 | + | 9052.04i | −0.238074 | + | 0.412356i | ||||
\(29\) | −25665.4 | − | 14817.9i | −1.05234 | − | 0.607566i | −0.129033 | − | 0.991640i | \(-0.541187\pi\) |
−0.923302 | + | 0.384074i | \(0.874521\pi\) | |||||||
\(30\) | −7933.48 | −0.293833 | ||||||||
\(31\) | 12621.8i | 0.423679i | 0.977304 | + | 0.211839i | \(0.0679454\pi\) | ||||
−0.977304 | + | 0.211839i | \(0.932055\pi\) | |||||||
\(32\) | −5016.55 | − | 2896.31i | −0.153093 | − | 0.0883883i | ||||
\(33\) | −9756.56 | + | 5632.95i | −0.271491 | + | 0.156745i | ||||
\(34\) | 8246.59 | + | 4761.17i | 0.209816 | + | 0.121137i | ||||
\(35\) | −38093.7 | − | 65980.3i | −0.888484 | − | 1.53890i | ||||
\(36\) | 11085.6 | + | 19200.7i | 0.237602 | + | 0.411539i | ||||
\(37\) | − | 30325.0i | − | 0.598682i | −0.954146 | − | 0.299341i | \(-0.903233\pi\) | ||
0.954146 | − | 0.299341i | \(-0.0967667\pi\) | |||||||
\(38\) | −35801.7 | + | 14956.8i | −0.652459 | + | 0.272576i | ||||
\(39\) | −18238.4 | −0.307463 | ||||||||
\(40\) | 36565.7 | − | 21111.2i | 0.571338 | − | 0.329862i | ||||
\(41\) | 99771.8 | − | 57603.3i | 1.44763 | − | 0.835787i | 0.449286 | − | 0.893388i | \(-0.351679\pi\) |
0.998340 | + | 0.0576012i | \(0.0183452\pi\) | |||||||
\(42\) | 5554.97 | − | 9621.49i | 0.0749780 | − | 0.129866i | ||||
\(43\) | −9215.51 | − | 15961.7i | −0.115908 | − | 0.200759i | 0.802234 | − | 0.597009i | \(-0.203644\pi\) |
−0.918142 | + | 0.396251i | \(0.870311\pi\) | |||||||
\(44\) | 29978.9 | − | 51924.9i | 0.351931 | − | 0.609562i | ||||
\(45\) | −161605. | −1.77345 | ||||||||
\(46\) | − | 100181.i | − | 1.02923i | ||||||
\(47\) | −61585.4 | + | 106669.i | −0.593177 | + | 1.02741i | 0.400624 | + | 0.916243i | \(0.368793\pi\) |
−0.993801 | + | 0.111171i | \(0.964540\pi\) | |||||||
\(48\) | 5332.14 | + | 3078.51i | 0.0482145 | + | 0.0278367i | ||||
\(49\) | −10957.1 | −0.0931338 | ||||||||
\(50\) | 219371.i | 1.75496i | ||||||||
\(51\) | −8765.37 | − | 5060.69i | −0.0660784 | − | 0.0381504i | ||||
\(52\) | 84061.3 | − | 48532.8i | 0.597842 | − | 0.345164i | ||||
\(53\) | 43811.3 | + | 25294.5i | 0.294279 | + | 0.169902i | 0.639870 | − | 0.768483i | \(-0.278988\pi\) |
−0.345591 | + | 0.938385i | \(0.612322\pi\) | |||||||
\(54\) | −24180.7 | − | 41882.2i | −0.153563 | − | 0.265979i | ||||
\(55\) | 218516. | + | 378481.i | 1.31339 | + | 2.27486i | ||||
\(56\) | 59127.7i | 0.336687i | ||||||||
\(57\) | 38053.9 | − | 15897.7i | 0.205483 | − | 0.0858440i | ||||
\(58\) | −167646. | −0.859229 | ||||||||
\(59\) | 263957. | − | 152396.i | 1.28522 | − | 0.742021i | 0.307421 | − | 0.951573i | \(-0.400534\pi\) |
0.977798 | + | 0.209552i | \(0.0672005\pi\) | |||||||
\(60\) | −38865.9 | + | 22439.3i | −0.179935 | + | 0.103885i | ||||
\(61\) | 144542. | − | 250354.i | 0.636801 | − | 1.10297i | −0.349329 | − | 0.937000i | \(-0.613590\pi\) |
0.986130 | − | 0.165972i | \(-0.0530762\pi\) | |||||||
\(62\) | 35699.9 | + | 61834.0i | 0.149793 | + | 0.259449i | ||||
\(63\) | 113155. | − | 195990.i | 0.452534 | − | 0.783813i | ||||
\(64\) | −32768.0 | −0.125000 | ||||||||
\(65\) | 707511.i | 2.57628i | ||||||||
\(66\) | −31864.8 | + | 55191.4i | −0.110836 | + | 0.191973i | ||||
\(67\) | 66100.7 | + | 38163.3i | 0.219777 | + | 0.126888i | 0.605847 | − | 0.795581i | \(-0.292834\pi\) |
−0.386070 | + | 0.922469i | \(0.626168\pi\) | |||||||
\(68\) | 53866.5 | 0.171314 | ||||||||
\(69\) | 106483.i | 0.324140i | ||||||||
\(70\) | −373241. | − | 215491.i | −1.08817 | − | 0.628253i | ||||
\(71\) | −62477.6 | + | 36071.4i | −0.174562 | + | 0.100783i | −0.584735 | − | 0.811224i | \(-0.698802\pi\) |
0.410173 | + | 0.912008i | \(0.365468\pi\) | |||||||
\(72\) | 108616. | + | 62709.4i | 0.291002 | + | 0.168010i | ||||
\(73\) | −105504. | − | 182739.i | −0.271208 | − | 0.469745i | 0.697964 | − | 0.716133i | \(-0.254090\pi\) |
−0.969171 | + | 0.246388i | \(0.920756\pi\) | |||||||
\(74\) | −85772.1 | − | 148562.i | −0.211666 | − | 0.366616i | ||||
\(75\) | − | 233171.i | − | 0.552701i | ||||||
\(76\) | −133088. | + | 174536.i | −0.303177 | + | 0.397597i | ||||
\(77\) | −612013. | −1.34057 | ||||||||
\(78\) | −89349.5 | + | 51585.9i | −0.188282 | + | 0.108705i | ||||
\(79\) | 441185. | − | 254718.i | 0.894828 | − | 0.516629i | 0.0193096 | − | 0.999814i | \(-0.493853\pi\) |
0.875519 | + | 0.483184i | \(0.160520\pi\) | |||||||
\(80\) | 119423. | − | 206847.i | 0.233248 | − | 0.403997i | ||||
\(81\) | −226841. | − | 392900.i | −0.426841 | − | 0.739311i | ||||
\(82\) | 325853. | − | 564394.i | 0.590991 | − | 1.02363i | ||||
\(83\) | 267139. | 0.467200 | 0.233600 | − | 0.972333i | \(-0.424949\pi\) | ||||
0.233600 | + | 0.972333i | \(0.424949\pi\) | |||||||
\(84\) | − | 62847.3i | − | 0.106035i | ||||||
\(85\) | −196316. | + | 340030.i | −0.319669 | + | 0.553682i | ||||
\(86\) | −90293.2 | − | 52130.8i | −0.141958 | − | 0.0819594i | ||||
\(87\) | 178192. | 0.270602 | ||||||||
\(88\) | − | 339172.i | − | 0.497705i | ||||||
\(89\) | 878847. | + | 507403.i | 1.24665 | + | 0.719752i | 0.970439 | − | 0.241347i | \(-0.0775890\pi\) |
0.276207 | + | 0.961098i | \(0.410922\pi\) | |||||||
\(90\) | −791701. | + | 457089.i | −1.08601 | + | 0.627008i | ||||
\(91\) | −858049. | − | 495395.i | −1.13864 | − | 0.657396i | ||||
\(92\) | −283354. | − | 490784.i | −0.363886 | − | 0.630270i | ||||
\(93\) | −37945.7 | − | 65723.9i | −0.0471752 | − | 0.0817099i | ||||
\(94\) | 696760.i | 0.838879i | ||||||||
\(95\) | −616711. | − | 1.47620e6i | −0.719301 | − | 1.72177i | ||||
\(96\) | 34829.4 | 0.0393670 | ||||||||
\(97\) | 154893. | − | 89427.6i | 0.169714 | − | 0.0979843i | −0.412737 | − | 0.910850i | \(-0.635427\pi\) |
0.582451 | + | 0.812866i | \(0.302094\pi\) | |||||||
\(98\) | −53678.6 | + | 30991.4i | −0.0570326 | + | 0.0329278i | ||||
\(99\) | −649087. | + | 1.12425e6i | −0.668955 | + | 1.15866i | ||||
\(100\) | 620474. | + | 1.07469e6i | 0.620474 | + | 1.07469i | ||||
\(101\) | −229275. | + | 397117.i | −0.222533 | + | 0.385438i | −0.955576 | − | 0.294744i | \(-0.904766\pi\) |
0.733044 | + | 0.680181i | \(0.238099\pi\) | |||||||
\(102\) | −57255.2 | −0.0539528 | ||||||||
\(103\) | − | 389239.i | − | 0.356209i | −0.984012 | − | 0.178104i | \(-0.943003\pi\) | ||
0.984012 | − | 0.178104i | \(-0.0569965\pi\) | |||||||
\(104\) | 274543. | − | 475523.i | 0.244068 | − | 0.422738i | ||||
\(105\) | 396721. | + | 229047.i | 0.342702 | + | 0.197859i | ||||
\(106\) | 286174. | 0.240278 | ||||||||
\(107\) | − | 779465.i | − | 0.636276i | −0.948044 | − | 0.318138i | \(-0.896943\pi\) | ||
0.948044 | − | 0.318138i | \(-0.103057\pi\) | |||||||
\(108\) | −236921. | − | 136787.i | −0.188076 | − | 0.108586i | ||||
\(109\) | −809716. | + | 467490.i | −0.625250 | + | 0.360988i | −0.778910 | − | 0.627136i | \(-0.784227\pi\) |
0.153660 | + | 0.988124i | \(0.450894\pi\) | |||||||
\(110\) | 2.14101e6 | + | 1.23611e6i | 1.60857 | + | 0.928710i | ||||
\(111\) | 91167.9 | + | 157907.i | 0.0666612 | + | 0.115461i | ||||
\(112\) | 167238. | + | 289665.i | 0.119037 | + | 0.206178i | ||||
\(113\) | 906516.i | 0.628261i | 0.949380 | + | 0.314131i | \(0.101713\pi\) | ||||
−0.949380 | + | 0.314131i | \(0.898287\pi\) | |||||||
\(114\) | 141460. | − | 185515.i | 0.0954814 | − | 0.125218i | ||||
\(115\) | 4.13073e6 | 2.71602 | ||||||||
\(116\) | −821293. | + | 474174.i | −0.526168 | + | 0.303783i | ||||
\(117\) | −1.82005e6 | + | 1.05081e6i | −1.13639 | + | 0.656093i | ||||
\(118\) | 862080. | − | 1.49317e6i | 0.524688 | − | 0.908787i | ||||
\(119\) | −274919. | − | 476173.i | −0.163141 | − | 0.282569i | ||||
\(120\) | −126936. | + | 219859.i | −0.0734581 | + | 0.127233i | ||||
\(121\) | 1.73911e6 | 0.981684 | ||||||||
\(122\) | − | 1.63530e6i | − | 0.900573i | ||||||
\(123\) | −346352. | + | 599900.i | −0.186124 | + | 0.322376i | ||||
\(124\) | 349786. | + | 201949.i | 0.183458 | + | 0.105920i | ||||
\(125\) | −5.40076e6 | −2.76519 | ||||||||
\(126\) | − | 1.28020e6i | − | 0.639980i | ||||||
\(127\) | −915288. | − | 528442.i | −0.446834 | − | 0.257980i | 0.259658 | − | 0.965701i | \(-0.416390\pi\) |
−0.706492 | + | 0.707721i | \(0.749723\pi\) | |||||||
\(128\) | −160530. | + | 92681.9i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 95973.4 | + | 55410.3i | 0.0447076 | + | 0.0258120i | ||||
\(130\) | 2.00114e6 | + | 3.46608e6i | 0.910853 | + | 1.57764i | ||||
\(131\) | −501394. | − | 868440.i | −0.223031 | − | 0.386301i | 0.732696 | − | 0.680556i | \(-0.238262\pi\) |
−0.955727 | + | 0.294255i | \(0.904928\pi\) | |||||||
\(132\) | 360509.i | 0.156745i | ||||||||
\(133\) | 2.22211e6 | + | 285700.i | 0.944520 | + | 0.121438i | ||||
\(134\) | 431768. | 0.179447 | ||||||||
\(135\) | 1.72692e6 | − | 997038.i | 0.701893 | − | 0.405238i | ||||
\(136\) | 263891. | − | 152357.i | 0.104908 | − | 0.0605685i | ||||
\(137\) | −1.51478e6 | + | 2.62367e6i | −0.589098 | + | 1.02035i | 0.405253 | + | 0.914205i | \(0.367184\pi\) |
−0.994351 | + | 0.106143i | \(0.966150\pi\) | |||||||
\(138\) | 301179. | + | 521658.i | 0.114601 | + | 0.198495i | ||||
\(139\) | 78300.9 | − | 135621.i | 0.0291556 | − | 0.0504990i | −0.851079 | − | 0.525037i | \(-0.824051\pi\) |
0.880235 | + | 0.474538i | \(0.157385\pi\) | |||||||
\(140\) | −2.43800e6 | −0.888484 | ||||||||
\(141\) | − | 740592.i | − | 0.264193i | ||||||
\(142\) | −204051. | + | 353426.i | −0.0712645 | + | 0.123434i | ||||
\(143\) | 4.92200e6 | + | 2.84172e6i | 1.68319 | + | 0.971791i | ||||
\(144\) | 709476. | 0.237602 | ||||||||
\(145\) | − | 6.91251e6i | − | 2.26742i | ||||||
\(146\) | −1.03373e6 | − | 596823.i | −0.332160 | − | 0.191773i | ||||
\(147\) | 57055.4 | − | 32941.0i | 0.0179616 | − | 0.0103701i | ||||
\(148\) | −840392. | − | 485200.i | −0.259237 | − | 0.149670i | ||||
\(149\) | −954478. | − | 1.65320e6i | −0.288541 | − | 0.499767i | 0.684921 | − | 0.728617i | \(-0.259837\pi\) |
−0.973462 | + | 0.228850i | \(0.926503\pi\) | |||||||
\(150\) | −659507. | − | 1.14230e6i | −0.195409 | − | 0.338459i | ||||
\(151\) | 923037.i | 0.268095i | 0.990975 | + | 0.134047i | \(0.0427974\pi\) | ||||
−0.990975 | + | 0.134047i | \(0.957203\pi\) | |||||||
\(152\) | −158333. | + | 1.23147e6i | −0.0450858 | + | 0.350667i | ||||
\(153\) | −1.16629e6 | −0.325636 | ||||||||
\(154\) | −2.99824e6 | + | 1.73104e6i | −0.820927 | + | 0.473962i | ||||
\(155\) | −2.54959e6 | + | 1.47201e6i | −0.684661 | + | 0.395289i | ||||
\(156\) | −291814. | + | 505437.i | −0.0768657 | + | 0.133135i | ||||
\(157\) | −128042. | − | 221776.i | −0.0330868 | − | 0.0573080i | 0.849008 | − | 0.528380i | \(-0.177200\pi\) |
−0.882095 | + | 0.471072i | \(0.843867\pi\) | |||||||
\(158\) | 1.44090e6 | − | 2.49572e6i | 0.365312 | − | 0.632739i | ||||
\(159\) | −304177. | −0.0756720 | ||||||||
\(160\) | − | 1.35112e6i | − | 0.329862i | ||||||
\(161\) | −2.89231e6 | + | 5.00963e6i | −0.693055 | + | 1.20041i | ||||
\(162\) | −2.22258e6 | − | 1.28321e6i | −0.522772 | − | 0.301822i | ||||
\(163\) | 793580. | 0.183243 | 0.0916216 | − | 0.995794i | \(-0.470795\pi\) | ||||
0.0916216 | + | 0.995794i | \(0.470795\pi\) | |||||||
\(164\) | − | 3.68661e6i | − | 0.835787i | ||||||
\(165\) | −2.27570e6 | − | 1.31387e6i | −0.506597 | − | 0.292484i | ||||
\(166\) | 1.30871e6 | − | 755583.i | 0.286101 | − | 0.165180i | ||||
\(167\) | −4.08967e6 | − | 2.36117e6i | −0.878090 | − | 0.506965i | −0.00806166 | − | 0.999968i | \(-0.502566\pi\) |
−0.870028 | + | 0.493002i | \(0.835899\pi\) | |||||||
\(168\) | −177759. | − | 307888.i | −0.0374890 | − | 0.0649328i | ||||
\(169\) | 2.18705e6 | + | 3.78809e6i | 0.453106 | + | 0.784802i | ||||
\(170\) | 2.22107e6i | 0.452080i | ||||||||
\(171\) | 2.88154e6 | − | 3.77895e6i | 0.576284 | − | 0.755759i | ||||
\(172\) | −589793. | −0.115908 | ||||||||
\(173\) | −1.09335e6 | + | 631246.i | −0.211164 | + | 0.121916i | −0.601852 | − | 0.798607i | \(-0.705570\pi\) |
0.390688 | + | 0.920523i | \(0.372237\pi\) | |||||||
\(174\) | 872960. | − | 504003.i | 0.165709 | − | 0.0956722i | ||||
\(175\) | 6.33343e6 | − | 1.09698e7i | 1.18175 | − | 2.04685i | ||||
\(176\) | −959324. | − | 1.66160e6i | −0.175965 | − | 0.304781i | ||||
\(177\) | −916312. | + | 1.58710e6i | −0.165243 | + | 0.286210i | ||||
\(178\) | 5.74060e6 | 1.01788 | ||||||||
\(179\) | 995599.i | 0.173590i | 0.996226 | + | 0.0867951i | \(0.0276625\pi\) | ||||
−0.996226 | + | 0.0867951i | \(0.972337\pi\) | |||||||
\(180\) | −2.58568e6 | + | 4.47853e6i | −0.443361 | + | 0.767924i | ||||
\(181\) | 8.17517e6 | + | 4.71994e6i | 1.37867 | + | 0.795977i | 0.992000 | − | 0.126240i | \(-0.0402909\pi\) |
0.386673 | + | 0.922217i | \(0.373624\pi\) | |||||||
\(182\) | −5.60475e6 | −0.929698 | ||||||||
\(183\) | 1.73818e6i | 0.283623i | ||||||||
\(184\) | −2.77629e6 | − | 1.60289e6i | −0.445668 | − | 0.257307i | ||||
\(185\) | 6.12561e6 | − | 3.53662e6i | 0.967463 | − | 0.558565i | ||||
\(186\) | −371791. | − | 214653.i | −0.0577776 | − | 0.0333579i | ||||
\(187\) | 1.57701e6 | + | 2.73146e6i | 0.241162 | + | 0.417705i | ||||
\(188\) | 1.97073e6 | + | 3.41341e6i | 0.296589 | + | 0.513707i | ||||
\(189\) | 2.79248e6i | 0.413622i | ||||||||
\(190\) | −7.19659e6 | − | 5.48758e6i | −1.04922 | − | 0.800055i | ||||
\(191\) | −7.04374e6 | −1.01089 | −0.505444 | − | 0.862859i | \(-0.668671\pi\) | ||||
−0.505444 | + | 0.862859i | \(0.668671\pi\) | |||||||
\(192\) | 170628. | − | 98512.4i | 0.0241072 | − | 0.0139183i | ||||
\(193\) | −5.14388e6 | + | 2.96982e6i | −0.715516 | + | 0.413103i | −0.813100 | − | 0.582124i | \(-0.802222\pi\) |
0.0975843 | + | 0.995227i | \(0.468888\pi\) | |||||||
\(194\) | 505879. | − | 876208.i | 0.0692854 | − | 0.120006i | ||||
\(195\) | −2.12703e6 | − | 3.68413e6i | −0.286860 | − | 0.496857i | ||||
\(196\) | −175314. | + | 303652.i | −0.0232835 | + | 0.0403281i | ||||
\(197\) | 1.10256e6 | 0.144213 | 0.0721063 | − | 0.997397i | \(-0.477028\pi\) | ||||
0.0721063 | + | 0.997397i | \(0.477028\pi\) | |||||||
\(198\) | 7.34358e6i | 0.946046i | ||||||||
\(199\) | 1.73434e6 | − | 3.00397e6i | 0.220077 | − | 0.381185i | −0.734754 | − | 0.678334i | \(-0.762702\pi\) |
0.954831 | + | 0.297149i | \(0.0960357\pi\) | |||||||
\(200\) | 6.07938e6 | + | 3.50993e6i | 0.759922 | + | 0.438741i | ||||
\(201\) | −458930. | −0.0565143 | ||||||||
\(202\) | 2.59396e6i | 0.314708i | ||||||||
\(203\) | 8.38328e6 | + | 4.84009e6i | 1.00213 | + | 0.578583i | ||||
\(204\) | −280492. | + | 161942.i | −0.0330392 | + | 0.0190752i | ||||
\(205\) | 2.32716e7 | + | 1.34358e7i | 2.70125 | + | 1.55956i | ||||
\(206\) | −1.10093e6 | − | 1.90687e6i | −0.125939 | − | 0.218133i | ||||
\(207\) | 6.13503e6 | + | 1.06262e7i | 0.691681 | + | 1.19803i | ||||
\(208\) | − | 3.10610e6i | − | 0.345164i | ||||||
\(209\) | −1.27466e7 | − | 1.63885e6i | −1.39623 | − | 0.179515i | ||||
\(210\) | 2.59137e6 | 0.279815 | ||||||||
\(211\) | −4.04111e6 | + | 2.33314e6i | −0.430183 | + | 0.248366i | −0.699425 | − | 0.714706i | \(-0.746560\pi\) |
0.269241 | + | 0.963073i | \(0.413227\pi\) | |||||||
\(212\) | 1.40196e6 | − | 809423.i | 0.147139 | − | 0.0849509i | ||||
\(213\) | 216887. | − | 375660.i | 0.0224438 | − | 0.0388737i | ||||
\(214\) | −2.20466e6 | − | 3.81858e6i | −0.224957 | − | 0.389638i | ||||
\(215\) | 2.14950e6 | − | 3.72304e6i | 0.216283 | − | 0.374613i | ||||
\(216\) | −1.54756e6 | −0.153563 | ||||||||
\(217\) | − | 4.12276e6i | − | 0.403467i | ||||||
\(218\) | −2.64452e6 | + | 4.58045e6i | −0.255257 | + | 0.442118i | ||||
\(219\) | 1.09876e6 | + | 634368.i | 0.104609 | + | 0.0603961i | ||||
\(220\) | 1.39850e7 | 1.31339 | ||||||||
\(221\) | 5.10604e6i | 0.473051i | ||||||||
\(222\) | 893259. | + | 515723.i | 0.0816429 | + | 0.0471366i | ||||
\(223\) | −1.56975e7 | + | 9.06296e6i | −1.41552 | + | 0.817251i | −0.995901 | − | 0.0904493i | \(-0.971170\pi\) |
−0.419619 | + | 0.907700i | \(0.637836\pi\) | |||||||
\(224\) | 1.63859e6 | + | 946043.i | 0.145790 | + | 0.0841718i | ||||
\(225\) | −1.34342e7 | − | 2.32687e7i | −1.17941 | − | 2.04279i | ||||
\(226\) | 2.56402e6 | + | 4.44100e6i | 0.222124 | + | 0.384730i | ||||
\(227\) | 1.58093e6i | 0.135156i | 0.997714 | + | 0.0675778i | \(0.0215271\pi\) | ||||
−0.997714 | + | 0.0675778i | \(0.978473\pi\) | |||||||
\(228\) | 168293. | − | 1.30894e6i | 0.0141991 | − | 0.110438i | ||||
\(229\) | 1.86092e6 | 0.154961 | 0.0774803 | − | 0.996994i | \(-0.475313\pi\) | ||||
0.0774803 | + | 0.996994i | \(0.475313\pi\) | |||||||
\(230\) | 2.02364e7 | − | 1.16835e7i | 1.66322 | − | 0.960260i | ||||
\(231\) | 3.18686e6 | − | 1.83993e6i | 0.258539 | − | 0.149268i | ||||
\(232\) | −2.68233e6 | + | 4.64594e6i | −0.214807 | + | 0.372057i | ||||
\(233\) | −6.91739e6 | − | 1.19813e7i | −0.546858 | − | 0.947186i | −0.998487 | − | 0.0549802i | \(-0.982490\pi\) |
0.451629 | − | 0.892206i | \(-0.350843\pi\) | |||||||
\(234\) | −5.94426e6 | + | 1.02958e7i | −0.463928 | + | 0.803547i | ||||
\(235\) | −2.87294e7 | −2.21372 | ||||||||
\(236\) | − | 9.75332e6i | − | 0.742021i | ||||||
\(237\) | −1.53155e6 | + | 2.65272e6i | −0.115050 | + | 0.199272i | ||||
\(238\) | −2.69364e6 | − | 1.55518e6i | −0.199806 | − | 0.115358i | ||||
\(239\) | −1.11799e6 | −0.0818927 | −0.0409464 | − | 0.999161i | \(-0.513037\pi\) | ||||
−0.0409464 | + | 0.999161i | \(0.513037\pi\) | |||||||
\(240\) | 1.43611e6i | 0.103885i | ||||||||
\(241\) | −4.41772e6 | − | 2.55057e6i | −0.315607 | − | 0.182216i | 0.333826 | − | 0.942635i | \(-0.391660\pi\) |
−0.649433 | + | 0.760419i | \(0.724994\pi\) | |||||||
\(242\) | 8.51988e6 | − | 4.91895e6i | 0.601156 | − | 0.347078i | ||||
\(243\) | 7.75976e6 | + | 4.48010e6i | 0.540791 | + | 0.312226i | ||||
\(244\) | −4.62534e6 | − | 8.01132e6i | −0.318401 | − | 0.551486i | ||||
\(245\) | −1.27786e6 | − | 2.21332e6i | −0.0868931 | − | 0.150503i | ||||
\(246\) | 3.91853e6i | 0.263219i | ||||||||
\(247\) | −1.65443e7 | − | 1.26155e7i | −1.09789 | − | 0.837168i | ||||
\(248\) | 2.28479e6 | 0.149793 | ||||||||
\(249\) | −1.39104e6 | + | 803116.i | −0.0901033 | + | 0.0520212i | ||||
\(250\) | −2.64582e7 | + | 1.52757e7i | −1.69333 | + | 0.977643i | ||||
\(251\) | 1.48395e7 | − | 2.57028e7i | 0.938422 | − | 1.62539i | 0.170007 | − | 0.985443i | \(-0.445621\pi\) |
0.768415 | − | 0.639952i | \(-0.221046\pi\) | |||||||
\(252\) | −3.62096e6 | − | 6.27168e6i | −0.226267 | − | 0.391906i | ||||
\(253\) | 1.65911e7 | − | 2.87366e7i | 1.02450 | − | 1.77449i | ||||
\(254\) | −5.97863e6 | −0.364839 | ||||||||
\(255\) | − | 2.36079e6i | − | 0.142376i | ||||||
\(256\) | −524288. | + | 908093.i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −1.48785e7 | − | 8.59011e6i | −0.876517 | − | 0.506057i | −0.00700825 | − | 0.999975i | \(-0.502231\pi\) |
−0.869508 | + | 0.493918i | \(0.835564\pi\) | |||||||
\(258\) | 626895. | 0.0365036 | ||||||||
\(259\) | 9.90528e6i | 0.570122i | ||||||||
\(260\) | 1.96071e7 | + | 1.13202e7i | 1.11556 | + | 0.644070i | ||||
\(261\) | 1.77822e7 | − | 1.02666e7i | 1.00015 | − | 0.577436i | ||||
\(262\) | −4.91264e6 | − | 2.83631e6i | −0.273156 | − | 0.157707i | ||||
\(263\) | 1.71224e7 | + | 2.96569e7i | 0.941236 | + | 1.63027i | 0.763118 | + | 0.646259i | \(0.223667\pi\) |
0.178117 | + | 0.984009i | \(0.442999\pi\) | |||||||
\(264\) | 1.01967e6 | + | 1.76613e6i | 0.0554178 | + | 0.0959864i | ||||
\(265\) | 1.17998e7i | 0.634068i | ||||||||
\(266\) | 1.16942e7 | − | 4.88545e6i | 0.621333 | − | 0.259573i | ||||
\(267\) | −6.10174e6 | −0.320568 | ||||||||
\(268\) | 2.11522e6 | − | 1.22122e6i | 0.109888 | − | 0.0634441i | ||||
\(269\) | −1.15758e7 | + | 6.68330e6i | −0.594695 | + | 0.343347i | −0.766952 | − | 0.641705i | \(-0.778228\pi\) |
0.172257 | + | 0.985052i | \(0.444894\pi\) | |||||||
\(270\) | 5.64010e6 | − | 9.76893e6i | 0.286547 | − | 0.496313i | ||||
\(271\) | −3.90299e6 | − | 6.76018e6i | −0.196105 | − | 0.339664i | 0.751157 | − | 0.660124i | \(-0.229496\pi\) |
−0.947262 | + | 0.320459i | \(0.896163\pi\) | |||||||
\(272\) | 861864. | − | 1.49279e6i | 0.0428284 | − | 0.0741810i | ||||
\(273\) | 5.95734e6 | 0.292795 | ||||||||
\(274\) | 1.71378e7i | 0.833111i | ||||||||
\(275\) | −3.63303e7 | + | 6.29259e7i | −1.74691 | + | 3.02574i | ||||
\(276\) | 2.95094e6 | + | 1.70373e6i | 0.140357 | + | 0.0810351i | ||||
\(277\) | 4.78394e6 | 0.225085 | 0.112542 | − | 0.993647i | \(-0.464101\pi\) | ||||
0.112542 | + | 0.993647i | \(0.464101\pi\) | |||||||
\(278\) | − | 885873.i | − | 0.0412323i | ||||||
\(279\) | −7.57339e6 | − | 4.37250e6i | −0.348720 | − | 0.201334i | ||||
\(280\) | −1.19437e7 | + | 6.89570e6i | −0.544083 | + | 0.314126i | ||||
\(281\) | 1.80441e7 | + | 1.04177e7i | 0.813234 | + | 0.469521i | 0.848078 | − | 0.529872i | \(-0.177760\pi\) |
−0.0348438 | + | 0.999393i | \(0.511093\pi\) | |||||||
\(282\) | −2.09471e6 | − | 3.62814e6i | −0.0934064 | − | 0.161785i | ||||
\(283\) | −1.47334e7 | − | 2.55190e7i | −0.650045 | − | 1.12591i | −0.983112 | − | 0.183007i | \(-0.941417\pi\) |
0.333067 | − | 0.942903i | \(-0.391917\pi\) | |||||||
\(284\) | 2.30857e6i | 0.100783i | ||||||||
\(285\) | 7.64932e6 | + | 5.83279e6i | 0.330436 | + | 0.251966i | ||||
\(286\) | 3.21504e7 | 1.37432 | ||||||||
\(287\) | −3.25892e7 | + | 1.88154e7i | −1.37857 | + | 0.795916i | ||||
\(288\) | 3.47571e6 | − | 2.00670e6i | 0.145501 | − | 0.0840050i | ||||
\(289\) | 1.06520e7 | − | 1.84498e7i | 0.441303 | − | 0.764360i | ||||
\(290\) | −1.95515e7 | − | 3.38642e7i | −0.801653 | − | 1.38850i | ||||
\(291\) | −537703. | + | 931329.i | −0.0218204 | + | 0.0377941i | ||||
\(292\) | −6.75228e6 | −0.271208 | ||||||||
\(293\) | 1.56557e7i | 0.622401i | 0.950344 | + | 0.311201i | \(0.100731\pi\) | ||||
−0.950344 | + | 0.311201i | \(0.899269\pi\) | |||||||
\(294\) | 186342. | − | 322754.i | 0.00733279 | − | 0.0127008i | ||||
\(295\) | 6.15674e7 | + | 3.55460e7i | 2.39820 | + | 1.38460i | ||||
\(296\) | −5.48941e6 | −0.211666 | ||||||||
\(297\) | − | 1.60184e7i | − | 0.611434i | ||||||
\(298\) | −9.35194e6 | − | 5.39934e6i | −0.353389 | − | 0.204029i | ||||
\(299\) | 4.65217e7 | − | 2.68593e7i | 1.74037 | − | 1.00480i | ||||
\(300\) | −6.46182e6 | − | 3.73073e6i | −0.239327 | − | 0.138175i | ||||
\(301\) | 3.01013e6 | + | 5.21370e6i | 0.110379 | + | 0.191182i | ||||
\(302\) | 2.61074e6 | + | 4.52194e6i | 0.0947858 | + | 0.164174i | ||||
\(303\) | − | 2.75714e6i | − | 0.0991130i | ||||||
\(304\) | 2.70747e6 | + | 6.48080e6i | 0.0963702 | + | 0.230679i | ||||
\(305\) | 6.74282e7 | 2.37652 | ||||||||
\(306\) | −5.71363e6 | + | 3.29876e6i | −0.199410 | + | 0.115130i | ||||
\(307\) | −3.75862e7 | + | 2.17004e7i | −1.29901 | + | 0.749985i | −0.980233 | − | 0.197844i | \(-0.936606\pi\) |
−0.318779 | + | 0.947829i | \(0.603273\pi\) | |||||||
\(308\) | −9.79221e6 | + | 1.69606e7i | −0.335142 | + | 0.580483i | ||||
\(309\) | 1.17019e6 | + | 2.02683e6i | 0.0396627 | + | 0.0686978i | ||||
\(310\) | −8.32693e6 | + | 1.44227e7i | −0.279512 | + | 0.484128i | ||||
\(311\) | −5.53187e6 | −0.183904 | −0.0919520 | − | 0.995763i | \(-0.529311\pi\) | ||||
−0.0919520 | + | 0.995763i | \(0.529311\pi\) | |||||||
\(312\) | 3.30150e6i | 0.108705i | ||||||||
\(313\) | 1.71262e7 | − | 2.96634e7i | 0.558506 | − | 0.967360i | −0.439116 | − | 0.898430i | \(-0.644708\pi\) |
0.997622 | − | 0.0689296i | \(-0.0219584\pi\) | |||||||
\(314\) | −1.25455e6 | − | 724317.i | −0.0405229 | − | 0.0233959i | ||||
\(315\) | 5.27863e7 | 1.68884 | ||||||||
\(316\) | − | 1.63020e7i | − | 0.516629i | ||||||
\(317\) | 1.46088e7 | + | 8.43437e6i | 0.458601 | + | 0.264774i | 0.711456 | − | 0.702731i | \(-0.248036\pi\) |
−0.252855 | + | 0.967504i | \(0.581369\pi\) | |||||||
\(318\) | −1.49016e6 | + | 860343.i | −0.0463394 | + | 0.0267541i | ||||
\(319\) | −4.80888e7 | − | 2.77641e7i | −1.48140 | − | 0.855285i | ||||
\(320\) | −3.82153e6 | − | 6.61909e6i | −0.116624 | − | 0.201999i | ||||
\(321\) | 2.34335e6 | + | 4.05880e6i | 0.0708471 | + | 0.122711i | ||||
\(322\) | 3.27228e7i | 0.980127i | ||||||||
\(323\) | −4.45074e6 | − | 1.06536e7i | −0.132076 | − | 0.316148i | ||||
\(324\) | −1.45178e7 | −0.426841 | ||||||||
\(325\) | −1.01871e8 | + | 5.88151e7i | −2.96756 | + | 1.71332i | ||||
\(326\) | 3.88773e6 | − | 2.24458e6i | 0.112213 | − | 0.0647863i | ||||
\(327\) | 2.81088e6 | − | 4.86860e6i | 0.0803896 | − | 0.139239i | ||||
\(328\) | −1.04273e7 | − | 1.80606e7i | −0.295495 | − | 0.511813i | ||||
\(329\) | 2.01161e7 | − | 3.48421e7i | 0.564880 | − | 0.978401i | ||||
\(330\) | −1.48648e7 | −0.413635 | ||||||||
\(331\) | − | 3.12540e7i | − | 0.861830i | −0.902393 | − | 0.430915i | \(-0.858191\pi\) | ||
0.902393 | − | 0.430915i | \(-0.141809\pi\) | |||||||
\(332\) | 4.27422e6 | − | 7.40317e6i | 0.116800 | − | 0.202304i | ||||
\(333\) | 1.81957e7 | + | 1.05053e7i | 0.492761 | + | 0.284496i | ||||
\(334\) | −2.67136e7 | −0.716957 | ||||||||
\(335\) | 1.78030e7i | 0.473542i | ||||||||
\(336\) | −1.74167e6 | − | 1.00556e6i | −0.0459144 | − | 0.0265087i | ||||
\(337\) | −582358. | + | 336224.i | −0.0152160 | + | 0.00878496i | −0.507589 | − | 0.861600i | \(-0.669463\pi\) |
0.492373 | + | 0.870384i | \(0.336130\pi\) | |||||||
\(338\) | 2.14287e7 | + | 1.23718e7i | 0.554939 | + | 0.320394i | ||||
\(339\) | −2.72531e6 | − | 4.72038e6i | −0.0699548 | − | 0.121165i | ||||
\(340\) | 6.28213e6 | + | 1.08810e7i | 0.159834 | + | 0.276841i | ||||
\(341\) | 2.36492e7i | 0.596423i | ||||||||
\(342\) | 3.42813e6 | − | 2.66632e7i | 0.0856997 | − | 0.666553i | ||||
\(343\) | 4.20075e7 | 1.04099 | ||||||||
\(344\) | −2.88938e6 | + | 1.66819e6i | −0.0709790 | + | 0.0409797i | ||||
\(345\) | −2.15094e7 | + | 1.24185e7i | −0.523807 | + | 0.302420i | ||||
\(346\) | −3.57087e6 | + | 6.18492e6i | −0.0862075 | + | 0.149316i | ||||
\(347\) | −6.93857e6 | − | 1.20180e7i | −0.166066 | − | 0.287635i | 0.770967 | − | 0.636875i | \(-0.219773\pi\) |
−0.937033 | + | 0.349240i | \(0.886440\pi\) | |||||||
\(348\) | 2.85107e6 | − | 4.93820e6i | 0.0676505 | − | 0.117174i | ||||
\(349\) | −6.80606e6 | −0.160110 | −0.0800552 | − | 0.996790i | \(-0.525510\pi\) | ||||
−0.0800552 | + | 0.996790i | \(0.525510\pi\) | |||||||
\(350\) | − | 7.16546e7i | − | 1.67124i | ||||||
\(351\) | 1.29661e7 | − | 2.24579e7i | 0.299839 | − | 0.519336i | ||||
\(352\) | −9.39941e6 | − | 5.42675e6i | −0.215513 | − | 0.124426i | ||||
\(353\) | −4.89192e7 | −1.11213 | −0.556065 | − | 0.831139i | \(-0.687689\pi\) | ||||
−0.556065 | + | 0.831139i | \(0.687689\pi\) | |||||||
\(354\) | 1.03669e7i | 0.233689i | ||||||||
\(355\) | −1.45728e7 | − | 8.41359e6i | −0.325729 | − | 0.188060i | ||||
\(356\) | 2.81231e7 | − | 1.62369e7i | 0.623323 | − | 0.359876i | ||||
\(357\) | 2.86310e6 | + | 1.65301e6i | 0.0629262 | + | 0.0363304i | ||||
\(358\) | 2.81598e6 | + | 4.87742e6i | 0.0613734 | + | 0.106302i | ||||
\(359\) | −2.44749e7 | − | 4.23917e7i | −0.528978 | − | 0.916216i | −0.999429 | − | 0.0337901i | \(-0.989242\pi\) |
0.470451 | − | 0.882426i | \(-0.344091\pi\) | |||||||
\(360\) | 2.92537e7i | 0.627008i | ||||||||
\(361\) | 4.55158e7 | + | 1.19008e7i | 0.967476 | + | 0.252961i | ||||
\(362\) | 5.34000e7 | 1.12568 | ||||||||
\(363\) | −9.05585e6 | + | 5.22840e6i | −0.189326 | + | 0.109307i | ||||
\(364\) | −2.74576e7 | + | 1.58526e7i | −0.569322 | + | 0.328698i | ||||
\(365\) | 2.46087e7 | − | 4.26235e7i | 0.506069 | − | 0.876537i | ||||
\(366\) | 4.91631e6 | + | 8.51530e6i | 0.100276 | + | 0.173683i | ||||
\(367\) | −4.12766e7 | + | 7.14932e7i | −0.835037 | + | 1.44633i | 0.0589631 | + | 0.998260i | \(0.481221\pi\) |
−0.894000 | + | 0.448067i | \(0.852113\pi\) | |||||||
\(368\) | −1.81347e7 | −0.363886 | ||||||||
\(369\) | 7.98205e7i | 1.58868i | ||||||||
\(370\) | 2.00062e7 | − | 3.46517e7i | 0.394965 | − | 0.684100i | ||||
\(371\) | −1.43104e7 | − | 8.26212e6i | −0.280240 | − | 0.161797i | ||||
\(372\) | −2.42853e6 | −0.0471752 | ||||||||
\(373\) | − | 4.93413e7i | − | 0.950788i | −0.879773 | − | 0.475394i | \(-0.842305\pi\) | ||
0.879773 | − | 0.475394i | \(-0.157695\pi\) | |||||||
\(374\) | 1.54515e7 | + | 8.92091e6i | 0.295362 | + | 0.170527i | ||||
\(375\) | 2.81227e7 | − | 1.62366e7i | 0.533289 | − | 0.307895i | ||||
\(376\) | 1.93092e7 | + | 1.11482e7i | 0.363245 | + | 0.209720i | ||||
\(377\) | −4.49473e7 | − | 7.78509e7i | −0.838840 | − | 1.45291i | ||||
\(378\) | 7.89831e6 | + | 1.36803e7i | 0.146238 | + | 0.253291i | ||||
\(379\) | 1.42830e6i | 0.0262362i | 0.999914 | + | 0.0131181i | \(0.00417574\pi\) | ||||
−0.999914 | + | 0.0131181i | \(0.995824\pi\) | |||||||
\(380\) | −5.07772e7 | − | 6.52849e6i | −0.925375 | − | 0.118977i | ||||
\(381\) | 6.35474e6 | 0.114901 | ||||||||
\(382\) | −3.45071e7 | + | 1.99227e7i | −0.619040 | + | 0.357403i | ||||
\(383\) | −8.47011e7 | + | 4.89022e7i | −1.50762 | + | 0.870426i | −0.507662 | + | 0.861556i | \(0.669490\pi\) |
−0.999961 | + | 0.00886976i | \(0.997177\pi\) | |||||||
\(384\) | 557270. | − | 965220.i | 0.00984174 | − | 0.0170464i | ||||
\(385\) | −7.13754e7 | − | 1.23626e8i | −1.25074 | − | 2.16634i | ||||
\(386\) | −1.67998e7 | + | 2.90982e7i | −0.292108 | + | 0.505946i | ||||
\(387\) | 1.27699e7 | 0.220320 | ||||||||
\(388\) | − | 5.72337e6i | − | 0.0979843i | ||||||
\(389\) | −4.20917e7 | + | 7.29050e7i | −0.715069 | + | 1.23854i | 0.247863 | + | 0.968795i | \(0.420272\pi\) |
−0.962933 | + | 0.269741i | \(0.913062\pi\) | |||||||
\(390\) | −2.08406e7 | − | 1.20323e7i | −0.351331 | − | 0.202841i | ||||
\(391\) | 2.98111e7 | 0.498710 | ||||||||
\(392\) | 1.98345e6i | 0.0329278i | ||||||||
\(393\) | 5.22169e6 | + | 3.01474e6i | 0.0860267 | + | 0.0496675i | ||||
\(394\) | 5.40142e6 | − | 3.11851e6i | 0.0883118 | − | 0.0509869i | ||||
\(395\) | 1.02906e8 | + | 5.94125e7i | 1.66973 | + | 0.964022i | ||||
\(396\) | 2.07708e7 | + | 3.59760e7i | 0.334478 | + | 0.579332i | ||||
\(397\) | 1.36076e7 | + | 2.35691e7i | 0.217475 | + | 0.376679i | 0.954036 | − | 0.299694i | \(-0.0968844\pi\) |
−0.736560 | + | 0.676372i | \(0.763551\pi\) | |||||||
\(398\) | − | 1.96218e7i | − | 0.311236i | ||||||
\(399\) | −1.24298e7 | + | 5.19278e6i | −0.195680 | + | 0.0817488i | ||||
\(400\) | 3.97103e7 | 0.620474 | ||||||||
\(401\) | 8.71643e7 | − | 5.03243e7i | 1.35178 | − | 0.780450i | 0.363280 | − | 0.931680i | \(-0.381657\pi\) |
0.988499 | + | 0.151230i | \(0.0483235\pi\) | |||||||
\(402\) | −2.24829e6 | + | 1.29805e6i | −0.0346078 | + | 0.0199808i | ||||
\(403\) | −1.91429e7 | + | 3.31565e7i | −0.292477 | + | 0.506586i | ||||
\(404\) | 7.33681e6 | + | 1.27077e7i | 0.111266 | + | 0.192719i | ||||
\(405\) | 5.29102e7 | − | 9.16431e7i | 0.796479 | − | 1.37954i | ||||
\(406\) | 5.47594e7 | 0.818239 | ||||||||
\(407\) | − | 5.68194e7i | − | 0.842778i | ||||||
\(408\) | −916082. | + | 1.58670e6i | −0.0134882 | + | 0.0233623i | ||||
\(409\) | 7.68869e7 | + | 4.43907e7i | 1.12378 | + | 0.648817i | 0.942364 | − | 0.334589i | \(-0.108598\pi\) |
0.181419 | + | 0.983406i | \(0.441931\pi\) | |||||||
\(410\) | 1.52009e8 | 2.20556 | ||||||||
\(411\) | − | 1.82159e7i | − | 0.262376i | ||||||
\(412\) | −1.07869e7 | − | 6.22783e6i | −0.154243 | − | 0.0890522i | ||||
\(413\) | −8.62182e7 | + | 4.97781e7i | −1.22391 | + | 0.706624i | ||||
\(414\) | 6.01108e7 | + | 3.47050e7i | 0.847133 | + | 0.489092i | ||||
\(415\) | 3.11548e7 | + | 5.39617e7i | 0.435894 | + | 0.754991i | ||||
\(416\) | −8.78538e6 | − | 1.52167e7i | −0.122034 | − | 0.211369i | ||||
\(417\) | 941602.i | 0.0129855i | ||||||||
\(418\) | −6.70809e7 | + | 2.80242e7i | −0.918481 | + | 0.383712i | ||||
\(419\) | −1.18948e8 | −1.61702 | −0.808508 | − | 0.588485i | \(-0.799725\pi\) | ||||
−0.808508 | + | 0.588485i | \(0.799725\pi\) | |||||||
\(420\) | 1.26951e7 | − | 7.32950e6i | 0.171351 | − | 0.0989296i | ||||
\(421\) | 5.05130e7 | − | 2.91637e7i | 0.676951 | − | 0.390838i | −0.121754 | − | 0.992560i | \(-0.538852\pi\) |
0.798705 | + | 0.601723i | \(0.205519\pi\) | |||||||
\(422\) | −1.31982e7 | + | 2.28600e7i | −0.175622 | + | 0.304186i | ||||
\(423\) | −4.26693e7 | − | 7.39054e7i | −0.563760 | − | 0.976461i | ||||
\(424\) | 4.57879e6 | − | 7.93070e6i | 0.0600694 | − | 0.104043i | ||||
\(425\) | −6.52788e7 | −0.850365 | ||||||||
\(426\) | − | 2.45380e6i | − | 0.0317403i | ||||||
\(427\) | −4.72127e7 | + | 8.17749e7i | −0.606423 | + | 1.05036i | ||||
\(428\) | −2.16012e7 | − | 1.24714e7i | −0.275515 | − | 0.159069i | ||||
\(429\) | −3.41729e7 | −0.432822 | ||||||||
\(430\) | − | 2.43188e7i | − | 0.305870i | ||||||
\(431\) | 1.37096e8 | + | 7.91526e7i | 1.71236 | + | 0.988629i | 0.931365 | + | 0.364087i | \(0.118619\pi\) |
0.780991 | + | 0.624542i | \(0.214714\pi\) | |||||||
\(432\) | −7.58149e6 | + | 4.37717e6i | −0.0940379 | + | 0.0542928i | ||||
\(433\) | −7.46005e7 | − | 4.30706e7i | −0.918921 | − | 0.530539i | −0.0356301 | − | 0.999365i | \(-0.511344\pi\) |
−0.883291 | + | 0.468826i | \(0.844677\pi\) | |||||||
\(434\) | −1.16609e7 | − | 2.01973e7i | −0.142647 | − | 0.247072i | ||||
\(435\) | 2.07815e7 | + | 3.59946e7i | 0.252469 | + | 0.437290i | ||||
\(436\) | 2.99194e7i | 0.360988i | ||||||||
\(437\) | −7.36541e7 | + | 9.65925e7i | −0.882578 | + | 1.15744i | ||||
\(438\) | 7.17706e6 | 0.0854130 | ||||||||
\(439\) | 7.75854e7 | − | 4.47940e7i | 0.917036 | − | 0.529451i | 0.0343480 | − | 0.999410i | \(-0.489065\pi\) |
0.882688 | + | 0.469959i | \(0.155731\pi\) | |||||||
\(440\) | 6.85123e7 | − | 3.95556e7i | 0.804286 | − | 0.464355i | ||||
\(441\) | 3.79580e6 | − | 6.57452e6i | 0.0442576 | − | 0.0766563i | ||||
\(442\) | 1.44421e7 | + | 2.50144e7i | 0.167249 | + | 0.289683i | ||||
\(443\) | −345055. | + | 597653.i | −0.00396896 | + | 0.00687444i | −0.868003 | − | 0.496559i | \(-0.834597\pi\) |
0.864034 | + | 0.503433i | \(0.167930\pi\) | |||||||
\(444\) | 5.83474e6 | 0.0666612 | ||||||||
\(445\) | 2.36701e8i | 2.68609i | ||||||||
\(446\) | −5.12678e7 | + | 8.87985e7i | −0.577884 | + | 1.00092i | ||||
\(447\) | 9.94025e6 | + | 5.73901e6i | 0.111295 | + | 0.0642561i | ||||
\(448\) | 1.07032e7 | 0.119037 | ||||||||
\(449\) | 1.12574e8i | 1.24365i | 0.783156 | + | 0.621825i | \(0.213609\pi\) | ||||
−0.783156 | + | 0.621825i | \(0.786391\pi\) | |||||||
\(450\) | −1.31627e8 | − | 7.59951e7i | −1.44447 | − | 0.833966i | ||||
\(451\) | 1.86940e8 | − | 1.07930e8i | 2.03786 | − | 1.17656i | ||||
\(452\) | 2.51221e7 | + | 1.45043e7i | 0.272045 | + | 0.157065i | ||||
\(453\) | −2.77498e6 | − | 4.80641e6i | −0.0298515 | − | 0.0517042i | ||||
\(454\) | 4.47153e6 | + | 7.74493e6i | 0.0477847 | + | 0.0827656i | ||||
\(455\) | − | 2.31100e8i | − | 2.45338i | ||||||
\(456\) | −2.87779e6 | − | 6.88850e6i | −0.0303504 | − | 0.0726491i | ||||
\(457\) | −5.85255e7 | −0.613192 | −0.306596 | − | 0.951840i | \(-0.599190\pi\) | ||||
−0.306596 | + | 0.951840i | \(0.599190\pi\) | |||||||
\(458\) | 9.11661e6 | − | 5.26348e6i | 0.0948936 | − | 0.0547868i | ||||
\(459\) | 1.24630e7 | − | 7.19553e6i | 0.128880 | − | 0.0744088i | ||||
\(460\) | 6.60917e7 | − | 1.14474e8i | 0.679006 | − | 1.17607i | ||||
\(461\) | 3.60055e7 | + | 6.23633e7i | 0.367507 | + | 0.636541i | 0.989175 | − | 0.146740i | \(-0.0468780\pi\) |
−0.621668 | + | 0.783281i | \(0.713545\pi\) | |||||||
\(462\) | 1.04082e7 | − | 1.80276e7i | 0.105548 | − | 0.182815i | ||||
\(463\) | −3.65045e7 | −0.367793 | −0.183896 | − | 0.982946i | \(-0.558871\pi\) | ||||
−0.183896 | + | 0.982946i | \(0.558871\pi\) | |||||||
\(464\) | 3.03471e7i | 0.303783i | ||||||||
\(465\) | 8.85076e6 | − | 1.53300e7i | 0.0880282 | − | 0.152469i | ||||
\(466\) | −6.77763e7 | − | 3.91307e7i | −0.669762 | − | 0.386687i | ||||
\(467\) | −1.41558e8 | −1.38990 | −0.694949 | − | 0.719059i | \(-0.744573\pi\) | ||||
−0.694949 | + | 0.719059i | \(0.744573\pi\) | |||||||
\(468\) | 6.72517e7i | 0.656093i | ||||||||
\(469\) | −2.15910e7 | − | 1.24655e7i | −0.209292 | − | 0.120835i | ||||
\(470\) | −1.40745e8 | + | 8.12589e7i | −1.35562 | + | 0.782668i | ||||
\(471\) | 1.33348e6 | + | 769882.i | 0.0127621 | + | 0.00736820i | ||||
\(472\) | −2.75866e7 | − | 4.77813e7i | −0.262344 | − | 0.454394i | ||||
\(473\) | −1.72669e7 | − | 2.99072e7i | −0.163167 | − | 0.282613i | ||||
\(474\) | 1.73275e7i | 0.162705i | ||||||||
\(475\) | 1.61284e8 | − | 2.11513e8i | 1.50491 | − | 1.97359i | ||||
\(476\) | −1.75948e7 | −0.163141 | ||||||||
\(477\) | −3.03546e7 | + | 1.75252e7i | −0.279685 | + | 0.161476i | ||||
\(478\) | −5.47703e6 | + | 3.16216e6i | −0.0501489 | + | 0.0289535i | ||||
\(479\) | 7.17564e7 | − | 1.24286e8i | 0.652911 | − | 1.13088i | −0.329502 | − | 0.944155i | \(-0.606881\pi\) |
0.982413 | − | 0.186721i | \(-0.0597859\pi\) | |||||||
\(480\) | 4.06194e6 | + | 7.03549e6i | 0.0367291 | + | 0.0636166i | ||||
\(481\) | 4.59925e7 | − | 7.96613e7i | 0.413287 | − | 0.715834i | ||||
\(482\) | −2.88564e7 | −0.257692 | ||||||||
\(483\) | − | 3.47813e7i | − | 0.308677i | ||||||
\(484\) | 2.78258e7 | − | 4.81957e7i | 0.245421 | − | 0.425081i | ||||
\(485\) | 3.61285e7 | + | 2.08588e7i | 0.316683 | + | 0.182837i | ||||
\(486\) | 5.06866e7 | 0.441554 | ||||||||
\(487\) | 1.01843e8i | 0.881744i | 0.897570 | + | 0.440872i | \(0.145331\pi\) | ||||
−0.897570 | + | 0.440872i | \(0.854669\pi\) | |||||||
\(488\) | −4.53189e7 | − | 2.61649e7i | −0.389960 | − | 0.225143i | ||||
\(489\) | −4.13230e6 | + | 2.38579e6i | −0.0353399 | + | 0.0204035i | ||||
\(490\) | −1.25204e7 | − | 7.22867e6i | −0.106422 | − | 0.0614427i | ||||
\(491\) | −1.07773e7 | − | 1.86668e7i | −0.0910469 | − | 0.157698i | 0.816905 | − | 0.576772i | \(-0.195688\pi\) |
−0.907952 | + | 0.419074i | \(0.862355\pi\) | |||||||
\(492\) | 1.10833e7 | + | 1.91968e7i | 0.0930620 | + | 0.161188i | ||||
\(493\) | − | 4.98869e7i | − | 0.416338i | ||||||
\(494\) | −1.16732e8 | − | 1.50084e7i | −0.968301 | − | 0.124496i | ||||
\(495\) | −3.02796e8 | −2.49652 | ||||||||
\(496\) | 1.11932e7 | − | 6.46237e6i | 0.0917292 | − | 0.0529599i | ||||
\(497\) | 2.04075e7 | − | 1.17823e7i | 0.166234 | − | 0.0959754i | ||||
\(498\) | −4.54311e6 | + | 7.86889e6i | −0.0367845 | + | 0.0637127i | ||||
\(499\) | 2.85945e7 | + | 4.95271e7i | 0.230134 | + | 0.398604i | 0.957847 | − | 0.287278i | \(-0.0927503\pi\) |
−0.727713 | + | 0.685881i | \(0.759417\pi\) | |||||||
\(500\) | −8.64122e7 | + | 1.49670e8i | −0.691298 | + | 1.19736i | ||||
\(501\) | 2.83941e7 | 0.225796 | ||||||||
\(502\) | − | 1.67890e8i | − | 1.32713i | ||||||
\(503\) | 2.47810e7 | − | 4.29220e7i | 0.194722 | − | 0.337269i | −0.752087 | − | 0.659064i | \(-0.770953\pi\) |
0.946809 | + | 0.321795i | \(0.104286\pi\) | |||||||
\(504\) | −3.54780e7 | − | 2.04832e7i | −0.277120 | − | 0.159995i | ||||
\(505\) | −1.06956e8 | −0.830484 | ||||||||
\(506\) | − | 1.87707e8i | − | 1.44887i | ||||||
\(507\) | −2.27767e7 | − | 1.31501e7i | −0.174770 | − | 0.100904i | ||||
\(508\) | −2.92892e7 | + | 1.69101e7i | −0.223417 | + | 0.128990i | ||||
\(509\) | 6.87736e7 | + | 3.97065e7i | 0.521517 | + | 0.301098i | 0.737555 | − | 0.675287i | \(-0.235980\pi\) |
−0.216038 | + | 0.976385i | \(0.569314\pi\) | |||||||
\(510\) | −6.67732e6 | − | 1.15655e7i | −0.0503375 | − | 0.0871872i | ||||
\(511\) | 3.44617e7 | + | 5.96894e7i | 0.258270 | + | 0.447336i | ||||
\(512\) | 5.93164e6i | 0.0441942i | ||||||||
\(513\) | −7.47772e6 | + | 5.81600e7i | −0.0553881 | + | 0.430797i | ||||
\(514\) | −9.71860e7 | −0.715673 | ||||||||
\(515\) | 7.86258e7 | − | 4.53946e7i | 0.575630 | − | 0.332340i | ||||
\(516\) | 3.07115e6 | − | 1.77313e6i | 0.0223538 | − | 0.0129060i | ||||
\(517\) | −1.15391e8 | + | 1.99864e8i | −0.835029 | + | 1.44631i | ||||
\(518\) | 2.80164e7 | + | 4.85258e7i | 0.201568 | + | 0.349127i | ||||
\(519\) | 3.79550e6 | − | 6.57400e6i | 0.0271498 | − | 0.0470249i | ||||
\(520\) | 1.28073e8 | 0.910853 | ||||||||
\(521\) | 1.95472e6i | 0.0138220i | 0.999976 | + | 0.00691101i | \(0.00219986\pi\) | ||||
−0.999976 | + | 0.00691101i | \(0.997800\pi\) | |||||||
\(522\) | 5.80765e7 | − | 1.00591e8i | 0.408309 | − | 0.707211i | ||||
\(523\) | 1.86719e8 | + | 1.07802e8i | 1.30522 | + | 0.753568i | 0.981294 | − | 0.192516i | \(-0.0616646\pi\) |
0.323924 | + | 0.946083i | \(0.394998\pi\) | |||||||
\(524\) | −3.20892e7 | −0.223031 | ||||||||
\(525\) | 7.61623e7i | 0.526335i | ||||||||
\(526\) | 1.67765e8 | + | 9.68591e7i | 1.15277 | + | 0.665554i | ||||
\(527\) | −1.84002e7 | + | 1.06233e7i | −0.125716 | + | 0.0725820i | ||||
\(528\) | 9.99072e6 | + | 5.76814e6i | 0.0678727 | + | 0.0391863i | ||||
\(529\) | −8.27975e7 | − | 1.43409e8i | −0.559307 | − | 0.968748i | ||||
\(530\) | 3.33748e7 | + | 5.78068e7i | 0.224177 | + | 0.388286i | ||||
\(531\) | 2.11174e8i | 1.41045i | ||||||||
\(532\) | 4.34714e7 | − | 5.70098e7i | 0.288714 | − | 0.378630i | ||||
\(533\) | 3.49456e8 | 2.30787 | ||||||||
\(534\) | −2.98923e7 | + | 1.72583e7i | −0.196307 | + | 0.113338i | ||||
\(535\) | 1.57451e8 | − | 9.09043e7i | 1.02821 | − | 0.593640i | ||||
\(536\) | 6.90829e6 | − | 1.19655e7i | 0.0448617 | − | 0.0777028i | ||||
\(537\) | −2.99313e6 | − | 5.18425e6i | −0.0193287 | − | 0.0334783i | ||||
\(538\) | −3.78064e7 | + | 6.54827e7i | −0.242783 | + | 0.420513i | ||||
\(539\) | −2.05301e7 | −0.131107 | ||||||||
\(540\) | − | 6.38104e7i | − | 0.405238i | ||||||
\(541\) | 4.53879e7 | − | 7.86142e7i | 0.286648 | − | 0.496488i | −0.686360 | − | 0.727262i | \(-0.740792\pi\) |
0.973007 | + | 0.230774i | \(0.0741257\pi\) | |||||||
\(542\) | −3.82413e7 | − | 2.20786e7i | −0.240179 | − | 0.138667i | ||||
\(543\) | −5.67593e7 | −0.354517 | ||||||||
\(544\) | − | 9.75088e6i | − | 0.0605685i | ||||||
\(545\) | −1.88865e8 | − | 1.09041e8i | −1.16671 | − | 0.673598i | ||||
\(546\) | 2.91849e7 | − | 1.68499e7i | 0.179300 | − | 0.103519i | ||||
\(547\) | −1.17955e8 | − | 6.81014e7i | −0.720701 | − | 0.416097i | 0.0943099 | − | 0.995543i | \(-0.469936\pi\) |
−0.815010 | + | 0.579446i | \(0.803269\pi\) | |||||||
\(548\) | 4.84729e7 | + | 8.39576e7i | 0.294549 | + | 0.510174i | ||||
\(549\) | 1.00145e8 | + | 1.73457e8i | 0.605221 | + | 1.04827i | ||||
\(550\) | 4.11030e8i | 2.47050i | ||||||||
\(551\) | 1.61641e8 | + | 1.23255e8i | 0.966266 | + | 0.736802i | ||||
\(552\) | 1.92755e7 | 0.114601 | ||||||||
\(553\) | −1.44108e8 | + | 8.32005e7i | −0.852141 | + | 0.491984i | ||||
\(554\) | 2.34364e7 | − | 1.35310e7i | 0.137836 | − | 0.0795795i | ||||
\(555\) | −2.12647e7 | + | 3.68316e7i | −0.124389 | + | 0.215447i | ||||
\(556\) | −2.50563e6 | − | 4.33988e6i | −0.0145778 | − | 0.0252495i | ||||
\(557\) | 9.62188e6 | − | 1.66656e7i | 0.0556794 | − | 0.0964395i | −0.836842 | − | 0.547444i | \(-0.815601\pi\) |
0.892522 | + | 0.451005i | \(0.148934\pi\) | |||||||
\(558\) | −4.94691e7 | −0.284729 | ||||||||
\(559\) | − | 5.59068e7i | − | 0.320059i | ||||||
\(560\) | −3.90080e7 | + | 6.75638e7i | −0.222121 | + | 0.384725i | ||||
\(561\) | −1.64235e7 | − | 9.48211e6i | −0.0930201 | − | 0.0537052i | ||||
\(562\) | 1.17863e8 | 0.664003 | ||||||||
\(563\) | − | 1.49403e8i | − | 0.837210i | −0.908168 | − | 0.418605i | \(-0.862519\pi\) | ||
0.908168 | − | 0.418605i | \(-0.137481\pi\) | |||||||
\(564\) | −2.05239e7 | − | 1.18495e7i | −0.114399 | − | 0.0660483i | ||||
\(565\) | −1.83115e8 | + | 1.05722e8i | −1.01526 | + | 0.586163i | ||||
\(566\) | −1.44357e8 | − | 8.33446e7i | −0.796139 | − | 0.459651i | ||||
\(567\) | 7.40947e7 | + | 1.28336e8i | 0.406479 | + | 0.704042i | ||||
\(568\) | 6.52963e6 | + | 1.13096e7i | 0.0356323 | + | 0.0617169i | ||||
\(569\) | − | 2.62262e8i | − | 1.42364i | −0.702364 | − | 0.711818i | \(-0.747872\pi\) | ||
0.702364 | − | 0.711818i | \(-0.252128\pi\) | |||||||
\(570\) | 5.39715e7 | + | 6.93919e6i | 0.291434 | + | 0.0374700i | ||||
\(571\) | −1.63644e8 | −0.879006 | −0.439503 | − | 0.898241i | \(-0.644845\pi\) | ||||
−0.439503 | + | 0.898241i | \(0.644845\pi\) | |||||||
\(572\) | 1.57504e8 | − | 9.09349e7i | 0.841595 | − | 0.485895i | ||||
\(573\) | 3.66779e7 | − | 2.11760e7i | 0.194958 | − | 0.112559i | ||||
\(574\) | −1.06436e8 | + | 1.84352e8i | −0.562798 | + | 0.974794i | ||||
\(575\) | 3.43386e8 | + | 5.94762e8i | 1.80626 | + | 3.12853i | ||||
\(576\) | 1.13516e7 | − | 1.96616e7i | 0.0594005 | − | 0.102885i | ||||
\(577\) | 3.25910e8 | 1.69657 | 0.848283 | − | 0.529544i | \(-0.177637\pi\) | ||||
0.848283 | + | 0.529544i | \(0.177637\pi\) | |||||||
\(578\) | − | 1.20513e8i | − | 0.624097i | ||||||
\(579\) | 1.78567e7 | − | 3.09287e7i | 0.0919953 | − | 0.159340i | ||||
\(580\) | −1.91565e8 | − | 1.10600e8i | −0.981821 | − | 0.566854i | ||||
\(581\) | −8.72576e7 | −0.444913 | ||||||||
\(582\) | 6.08341e6i | 0.0308588i | ||||||||
\(583\) | 8.20884e7 | + | 4.73937e7i | 0.414263 | + | 0.239175i | ||||
\(584\) | −3.30793e7 | + | 1.90983e7i | −0.166080 | + | 0.0958864i | ||||
\(585\) | −4.24523e8 | − | 2.45099e8i | −2.12048 | − | 1.22426i | ||||
\(586\) | 4.42811e7 | + | 7.66971e7i | 0.220052 | + | 0.381141i | ||||
\(587\) | −1.24835e8 | − | 2.16221e8i | −0.617195 | − | 1.06901i | −0.989995 | − | 0.141101i | \(-0.954936\pi\) |
0.372800 | − | 0.927912i | \(-0.378398\pi\) | |||||||
\(588\) | − | 2.10822e6i | − | 0.0103701i | ||||||
\(589\) | 1.10400e7 | − | 8.58663e7i | 0.0540283 | − | 0.420220i | ||||
\(590\) | 4.02157e8 | 1.95812 | ||||||||
\(591\) | −5.74121e6 | + | 3.31469e6i | −0.0278126 | + | 0.0160576i | ||||
\(592\) | −2.68925e7 | + | 1.55264e7i | −0.129618 | + | 0.0748352i | ||||
\(593\) | 7.96286e7 | − | 1.37921e8i | 0.381861 | − | 0.661402i | −0.609467 | − | 0.792811i | \(-0.708617\pi\) |
0.991328 | + | 0.131409i | \(0.0419500\pi\) | |||||||
\(594\) | −4.53069e7 | − | 7.84738e7i | −0.216175 | − | 0.374425i | ||||
\(595\) | 6.41243e7 | − | 1.11066e8i | 0.304419 | − | 0.527269i | ||||
\(596\) | −6.10866e7 | −0.288541 | ||||||||
\(597\) | 2.08562e7i | 0.0980195i | ||||||||
\(598\) | 1.51939e8 | − | 2.63167e8i | 0.710504 | − | 1.23063i | ||||
\(599\) | −2.65226e8 | − | 1.53128e8i | −1.23406 | − | 0.712483i | −0.266184 | − | 0.963922i | \(-0.585763\pi\) |
−0.967873 | + | 0.251439i | \(0.919096\pi\) | |||||||
\(600\) | −4.22084e7 | −0.195409 | ||||||||
\(601\) | − | 3.87730e8i | − | 1.78610i | −0.449955 | − | 0.893051i | \(-0.648560\pi\) | ||
0.449955 | − | 0.893051i | \(-0.351440\pi\) | |||||||
\(602\) | 2.94931e7 | + | 1.70279e7i | 0.135186 | + | 0.0780496i | ||||
\(603\) | −4.57977e7 | + | 2.64413e7i | −0.208877 | + | 0.120595i | ||||
\(604\) | 2.55800e7 | + | 1.47686e7i | 0.116088 | + | 0.0670237i | ||||
\(605\) | 2.02822e8 | + | 3.51298e8i | 0.915903 | + | 1.58639i | ||||
\(606\) | −7.79836e6 | − | 1.35072e7i | −0.0350417 | − | 0.0606940i | ||||
\(607\) | − | 1.37181e8i | − | 0.613377i | −0.951810 | − | 0.306689i | \(-0.900779\pi\) | ||
0.951810 | − | 0.306689i | \(-0.0992211\pi\) | |||||||
\(608\) | 3.15943e7 | + | 2.40914e7i | 0.140572 | + | 0.107189i | ||||
\(609\) | −5.82042e7 | −0.257693 | ||||||||
\(610\) | 3.30329e8 | − | 1.90716e8i | 1.45532 | − | 0.840227i | ||||
\(611\) | −3.23560e8 | + | 1.86807e8i | −1.41850 | + | 0.818974i | ||||
\(612\) | −1.86606e7 | + | 3.23212e7i | −0.0814089 | + | 0.141004i | ||||
\(613\) | 1.85666e8 | + | 3.21582e8i | 0.806027 | + | 1.39608i | 0.915595 | + | 0.402101i | \(0.131720\pi\) |
−0.109568 | + | 0.993979i | \(0.534947\pi\) | |||||||
\(614\) | −1.22756e8 | + | 2.12620e8i | −0.530319 | + | 0.918540i | ||||
\(615\) | −1.61572e8 | −0.694609 | ||||||||
\(616\) | 1.10786e8i | 0.473962i | ||||||||
\(617\) | −1.68276e8 | + | 2.91462e8i | −0.716418 | + | 1.24087i | 0.245992 | + | 0.969272i | \(0.420886\pi\) |
−0.962410 | + | 0.271600i | \(0.912447\pi\) | |||||||
\(618\) | 1.14655e7 | + | 6.61961e6i | 0.0485766 | + | 0.0280457i | ||||
\(619\) | −2.51175e7 | −0.105902 | −0.0529511 | − | 0.998597i | \(-0.516863\pi\) | ||||
−0.0529511 | + | 0.998597i | \(0.516863\pi\) | |||||||
\(620\) | 9.42084e7i | 0.395289i | ||||||||
\(621\) | −1.31118e8 | − | 7.57013e7i | −0.547506 | − | 0.316103i | ||||
\(622\) | −2.71005e7 | + | 1.56465e7i | −0.112618 | + | 0.0650199i | ||||
\(623\) | −2.87064e8 | − | 1.65737e8i | −1.18718 | − | 0.685416i | ||||
\(624\) | 9.33805e6 | + | 1.61740e7i | 0.0384328 | + | 0.0665676i | ||||
\(625\) | −3.26893e8 | − | 5.66195e8i | −1.33895 | − | 2.31914i | ||||
\(626\) | − | 1.93761e8i | − | 0.789846i | ||||||
\(627\) | 7.13009e7 | − | 2.97872e7i | 0.289263 | − | 0.120845i | ||||
\(628\) | −8.19471e6 | −0.0330868 | ||||||||
\(629\) | 4.42080e7 | − | 2.55235e7i | 0.177643 | − | 0.102562i | ||||
\(630\) | 2.58599e8 | − | 1.49302e8i | 1.03420 | − | 0.597096i | ||||
\(631\) | −1.29882e8 | + | 2.24962e8i | −0.516965 | + | 0.895409i | 0.482841 | + | 0.875708i | \(0.339605\pi\) |
−0.999806 | + | 0.0197010i | \(0.993729\pi\) | |||||||
\(632\) | −4.61090e7 | − | 7.98631e7i | −0.182656 | − | 0.316370i | ||||
\(633\) | 1.40285e7 | − | 2.42981e7i | 0.0553095 | − | 0.0957989i | ||||
\(634\) | 9.54240e7 | 0.374447 | ||||||||
\(635\) | − | 2.46516e8i | − | 0.962772i | ||||||
\(636\) | −4.86683e6 | + | 8.42960e6i | −0.0189180 | + | 0.0327669i | ||||
\(637\) | −2.87834e7 | − | 1.66181e7i | −0.111359 | − | 0.0642929i | ||||
\(638\) | −3.14114e8 | −1.20956 | ||||||||
\(639\) | − | 4.99840e7i | − | 0.191570i | ||||||
\(640\) | −3.74432e7 | − | 2.16179e7i | −0.142835 | − | 0.0824656i | ||||
\(641\) | −1.12149e8 | + | 6.47495e7i | −0.425817 | + | 0.245846i | −0.697563 | − | 0.716523i | \(-0.745732\pi\) |
0.271746 | + | 0.962369i | \(0.412399\pi\) | |||||||
\(642\) | 2.29601e7 | + | 1.32560e7i | 0.0867697 | + | 0.0500965i | ||||
\(643\) | 9.07232e7 | + | 1.57137e8i | 0.341260 | + | 0.591080i | 0.984667 | − | 0.174445i | \(-0.0558130\pi\) |
−0.643407 | + | 0.765524i | \(0.722480\pi\) | |||||||
\(644\) | 9.25540e7 | + | 1.60308e8i | 0.346527 | + | 0.600203i | ||||
\(645\) | 2.58487e7i | 0.0963294i | ||||||||
\(646\) | −5.19371e7 | − | 3.96033e7i | −0.192655 | − | 0.146904i | ||||
\(647\) | −3.15145e8 | −1.16358 | −0.581791 | − | 0.813338i | \(-0.697648\pi\) | ||||
−0.581791 | + | 0.813338i | \(0.697648\pi\) | |||||||
\(648\) | −7.11225e7 | + | 4.10626e7i | −0.261386 | + | 0.150911i | ||||
\(649\) | 4.94571e8 | − | 2.85541e8i | 1.80923 | − | 1.04456i | ||||
\(650\) | −3.32709e8 | + | 5.76268e8i | −1.21150 | + | 2.09838i | ||||
\(651\) | 1.23945e7 | + | 2.14679e7i | 0.0449247 | + | 0.0778119i | ||||
\(652\) | 1.26973e7 | − | 2.19923e7i | 0.0458108 | − | 0.0793467i | ||||
\(653\) | 1.74874e8 | 0.628039 | 0.314020 | − | 0.949417i | \(-0.398324\pi\) | ||||
0.314020 | + | 0.949417i | \(0.398324\pi\) | |||||||
\(654\) | − | 3.18015e7i | − | 0.113688i | ||||||
\(655\) | 1.16949e8 | − | 2.02562e8i | 0.416172 | − | 0.720832i | ||||
\(656\) | −1.02166e8 | − | 5.89857e7i | −0.361906 | − | 0.208947i | ||||
\(657\) | 1.46197e8 | 0.515516 | ||||||||
\(658\) | − | 2.27588e8i | − | 0.798861i | ||||||
\(659\) | 2.03039e8 | + | 1.17225e8i | 0.709453 | + | 0.409603i | 0.810859 | − | 0.585242i | \(-0.199001\pi\) |
−0.101405 | + | 0.994845i | \(0.532334\pi\) | |||||||
\(660\) | −7.28223e7 | + | 4.20440e7i | −0.253299 | + | 0.146242i | ||||
\(661\) | 4.59662e8 | + | 2.65386e8i | 1.59160 | + | 0.918912i | 0.993033 | + | 0.117840i | \(0.0375971\pi\) |
0.598569 | + | 0.801071i | \(0.295736\pi\) | |||||||
\(662\) | −8.83996e7 | − | 1.53113e8i | −0.304703 | − | 0.527761i | ||||
\(663\) | −1.53506e7 | − | 2.65880e7i | −0.0526726 | − | 0.0912316i | ||||
\(664\) | − | 4.83573e7i | − | 0.165180i | ||||||
\(665\) | 2.01441e8 | + | 4.82184e8i | 0.684987 | + | 1.63964i | ||||
\(666\) | 1.18854e8 | 0.402338 | ||||||||
\(667\) | −4.54525e8 | + | 2.62420e8i | −1.53172 | + | 0.884341i | ||||
\(668\) | −1.30869e8 | + | 7.55575e7i | −0.439045 | + | 0.253483i | ||||
\(669\) | 5.44930e7 | − | 9.43847e7i | 0.181996 | − | 0.315227i | ||||
\(670\) | 5.03545e7 | + | 8.72165e7i | 0.167423 | + | 0.289984i | ||||
\(671\) | 2.70825e8 | − | 4.69083e8i | 0.896440 | − | 1.55268i | ||||
\(672\) | −1.13766e7 | −0.0374890 | ||||||||
\(673\) | 3.03663e8i | 0.996199i | 0.867120 | + | 0.498100i | \(0.165969\pi\) | ||||
−0.867120 | + | 0.498100i | \(0.834031\pi\) | |||||||
\(674\) | −1.90197e6 | + | 3.29431e6i | −0.00621190 | + | 0.0107593i | ||||
\(675\) | 2.87116e8 | + | 1.65767e8i | 0.933569 | + | 0.538996i | ||||
\(676\) | 1.39971e8 | 0.453106 | ||||||||
\(677\) | − | 5.98000e7i | − | 0.192724i | −0.995346 | − | 0.0963618i | \(-0.969279\pi\) | ||
0.995346 | − | 0.0963618i | \(-0.0307206\pi\) | |||||||
\(678\) | −2.67025e7 | − | 1.54167e7i | −0.0856767 | − | 0.0494655i | ||||
\(679\) | −5.05939e7 | + | 2.92104e7i | −0.161618 | + | 0.0933100i | ||||
\(680\) | 6.15520e7 | + | 3.55371e7i | 0.195756 | + | 0.113020i | ||||
\(681\) | −4.75283e6 | − | 8.23215e6i | −0.0150491 | − | 0.0260658i | ||||
\(682\) | 6.68901e7 | + | 1.15857e8i | 0.210867 | + | 0.365233i | ||||
\(683\) | − | 4.37224e8i | − | 1.37228i | −0.727471 | − | 0.686139i | \(-0.759304\pi\) | ||
0.727471 | − | 0.686139i | \(-0.240696\pi\) | |||||||
\(684\) | −5.86207e7 | − | 1.40319e8i | −0.183182 | − | 0.438478i | ||||
\(685\) | −7.06638e8 | −2.19849 | ||||||||
\(686\) | 2.05794e8 | − | 1.18815e8i | 0.637471 | − | 0.368044i | ||||
\(687\) | −9.69012e6 | + | 5.59459e6i | −0.0298854 | + | 0.0172543i | ||||
\(688\) | −9.43668e6 | + | 1.63448e7i | −0.0289770 | + | 0.0501897i | ||||
\(689\) | 7.67258e7 | + | 1.32893e8i | 0.234576 | + | 0.406298i | ||||
\(690\) | −7.02495e7 | + | 1.21676e8i | −0.213843 | + | 0.370388i | ||||
\(691\) | −9.60933e7 | −0.291245 | −0.145623 | − | 0.989340i | \(-0.546519\pi\) | ||||
−0.145623 | + | 0.989340i | \(0.546519\pi\) | |||||||
\(692\) | 4.03997e7i | 0.121916i | ||||||||
\(693\) | 2.12016e8 | − | 3.67222e8i | 0.637043 | − | 1.10339i | ||||
\(694\) | −6.79838e7 | − | 3.92505e7i | −0.203389 | − | 0.117427i | ||||
\(695\) | 3.65270e7 | 0.108808 | ||||||||
\(696\) | − | 3.22562e7i | − | 0.0956722i | ||||||
\(697\) | 1.67949e8 | + | 9.69652e7i | 0.495996 | + | 0.286363i | ||||
\(698\) | −3.33427e7 | + | 1.92504e7i | −0.0980472 | + | 0.0566076i | ||||
\(699\) | 7.20400e7 | + | 4.15923e7i | 0.210932 | + | 0.121782i | ||||
\(700\) | −2.02670e8 | − | 3.51034e8i | −0.590874 | − | 1.02342i | ||||
\(701\) | −2.25825e8 | − | 3.91140e8i | −0.655568 | − | 1.13548i | −0.981751 | − | 0.190171i | \(-0.939096\pi\) |
0.326183 | − | 0.945307i | \(-0.394237\pi\) | |||||||
\(702\) | − | 1.46695e8i | − | 0.424036i | ||||||
\(703\) | −2.65244e7 | + | 2.06301e8i | −0.0763449 | + | 0.593794i | ||||
\(704\) | −6.13967e7 | −0.175965 | ||||||||
\(705\) | 1.49599e8 | − | 8.63707e7i | 0.426933 | − | 0.246490i | ||||
\(706\) | −2.39654e8 | + | 1.38365e8i | −0.681038 | + | 0.393197i | ||||
\(707\) | 7.48899e7 | − | 1.29713e8i | 0.211917 | − | 0.367050i | ||||
\(708\) | 2.93220e7 | + | 5.07872e7i | 0.0826216 | + | 0.143105i | ||||
\(709\) | −1.57684e8 | + | 2.73117e8i | −0.442434 | + | 0.766319i | −0.997870 | − | 0.0652412i | \(-0.979218\pi\) |
0.555435 | + | 0.831560i | \(0.312552\pi\) | |||||||
\(710\) | −9.51889e7 | −0.265957 | ||||||||
\(711\) | 3.52962e8i | 0.982017i | ||||||||
\(712\) | 9.18497e7 | − | 1.59088e8i | 0.254471 | − | 0.440756i | ||||
\(713\) | 1.93581e8 | + | 1.11764e8i | 0.534064 | + | 0.308342i | ||||
\(714\) | 1.87017e7 | 0.0513790 | ||||||||
\(715\) | 1.32565e9i | 3.62669i | ||||||||
\(716\) | 2.75908e7 | + | 1.59296e7i | 0.0751668 | + | 0.0433975i | ||||
\(717\) | 5.82158e6 | − | 3.36109e6i | 0.0157937 | − | 0.00911848i | ||||
\(718\) | −2.39804e8 | − | 1.38451e8i | −0.647863 | − | 0.374044i | ||||
\(719\) | −1.63976e8 | − | 2.84014e8i | −0.441157 | − | 0.764106i | 0.556619 | − | 0.830768i | \(-0.312098\pi\) |
−0.997776 | + | 0.0666619i | \(0.978765\pi\) | |||||||
\(720\) | 8.27419e7 | + | 1.43313e8i | 0.221681 | + | 0.383962i | ||||
\(721\) | 1.27140e8i | 0.339216i | ||||||||
\(722\) | 2.56641e8 | − | 7.04363e7i | 0.681891 | − | 0.187148i | ||||
\(723\) | 3.06717e7 | 0.0811565 | ||||||||
\(724\) | 2.61606e8 | − | 1.51038e8i | 0.689336 | − | 0.397989i | ||||
\(725\) | 9.95295e8 | − | 5.74634e8i | 2.61179 | − | 1.50792i | ||||
\(726\) | −2.95763e7 | + | 5.12276e7i | −0.0772918 | + | 0.133873i | ||||
\(727\) | 1.00522e8 | + | 1.74110e8i | 0.261613 | + | 0.453128i | 0.966671 | − | 0.256023i | \(-0.0824122\pi\) |
−0.705057 | + | 0.709150i | \(0.749079\pi\) | |||||||
\(728\) | −8.96760e7 | + | 1.55323e8i | −0.232425 | + | 0.402571i | ||||
\(729\) | 2.76859e8 | 0.714621 | ||||||||
\(730\) | − | 2.78415e8i | − | 0.715690i | ||||||
\(731\) | 1.55127e7 | − | 2.68688e7i | 0.0397133 | − | 0.0687855i | ||||
\(732\) | 4.81698e7 | + | 2.78109e7i | 0.122812 | + | 0.0709057i | ||||
\(733\) | −2.89256e8 | −0.734463 | −0.367232 | − | 0.930130i | \(-0.619694\pi\) | ||||
−0.367232 | + | 0.930130i | \(0.619694\pi\) | |||||||
\(734\) | 4.66991e8i | 1.18092i | ||||||||
\(735\) | 1.33081e7 | + | 7.68342e6i | 0.0335161 | + | 0.0193505i | ||||
\(736\) | −8.88413e7 | + | 5.12926e7i | −0.222834 | + | 0.128653i | ||||
\(737\) | 1.23852e8 | + | 7.15057e7i | 0.309385 | + | 0.178623i | ||||
\(738\) | 2.25767e8 | + | 3.91039e8i | 0.561682 | + | 0.972862i | ||||
\(739\) | 2.76811e8 | + | 4.79452e8i | 0.685884 | + | 1.18799i | 0.973158 | + | 0.230138i | \(0.0739177\pi\) |
−0.287274 | + | 0.957848i | \(0.592749\pi\) | |||||||
\(740\) | − | 2.26344e8i | − | 0.558565i | ||||||
\(741\) | 1.24076e8 | + | 1.59526e7i | 0.304953 | + | 0.0392082i | ||||
\(742\) | −9.34752e7 | −0.228815 | ||||||||
\(743\) | 1.98541e8 | − | 1.14628e8i | 0.484043 | − | 0.279462i | −0.238057 | − | 0.971251i | \(-0.576511\pi\) |
0.722100 | + | 0.691789i | \(0.243177\pi\) | |||||||
\(744\) | −1.18973e7 | + | 6.86891e6i | −0.0288888 | + | 0.0166790i | ||||
\(745\) | 2.22630e8 | − | 3.85607e8i | 0.538412 | − | 0.932558i | ||||
\(746\) | −1.39558e8 | − | 2.41722e8i | −0.336154 | − | 0.582237i | ||||
\(747\) | −9.25433e7 | + | 1.60290e8i | −0.222015 | + | 0.384542i | ||||
\(748\) | 1.00929e8 | 0.241162 | ||||||||
\(749\) | 2.54602e8i | 0.605922i | ||||||||
\(750\) | 9.18483e7 | − | 1.59086e8i | 0.217714 | − | 0.377092i | ||||
\(751\) | −6.92035e8 | − | 3.99547e8i | −1.63384 | − | 0.943296i | −0.982895 | − | 0.184168i | \(-0.941041\pi\) |
−0.650941 | − | 0.759128i | \(-0.725626\pi\) | |||||||
\(752\) | 1.26127e8 | 0.296589 | ||||||||
\(753\) | 1.78451e8i | 0.417961i | ||||||||
\(754\) | −4.40391e8 | − | 2.54260e8i | −1.02737 | − | 0.593150i | ||||
\(755\) | −1.86452e8 | + | 1.07648e8i | −0.433238 | + | 0.250130i | ||||
\(756\) | 7.73874e7 | + | 4.46796e7i | 0.179104 | + | 0.103406i | ||||
\(757\) | −8.85773e7 | − | 1.53420e8i | −0.204190 | − | 0.353668i | 0.745684 | − | 0.666299i | \(-0.232123\pi\) |
−0.949874 | + | 0.312632i | \(0.898789\pi\) | |||||||
\(758\) | 4.03983e6 | + | 6.99719e6i | 0.00927589 | + | 0.0160663i | ||||
\(759\) | 1.99515e8i | 0.456300i | ||||||||
\(760\) | −2.67222e8 | + | 1.11637e8i | −0.608739 | + | 0.254311i | ||||
\(761\) | −6.01790e8 | −1.36550 | −0.682749 | − | 0.730653i | \(-0.739216\pi\) | ||||
−0.682749 | + | 0.730653i | \(0.739216\pi\) | |||||||
\(762\) | 3.11317e7 | − | 1.79739e7i | 0.0703620 | − | 0.0406235i | ||||
\(763\) | 2.64484e8 | − | 1.52700e8i | 0.595422 | − | 0.343767i | ||||
\(764\) | −1.12700e8 | + | 1.95202e8i | −0.252722 | + | 0.437727i | ||||
\(765\) | −1.36017e8 | − | 2.35589e8i | −0.303815 | − | 0.526224i | ||||
\(766\) | −2.76633e8 | + | 4.79142e8i | −0.615484 | + | 1.06605i | ||||
\(767\) | 9.24524e8 | 2.04895 | ||||||||
\(768\) | − | 6.30479e6i | − | 0.0139183i | ||||||
\(769\) | 2.73169e8 | − | 4.73142e8i | 0.600692 | − | 1.04043i | −0.392025 | − | 0.919955i | \(-0.628225\pi\) |
0.992717 | − | 0.120474i | \(-0.0384414\pi\) | |||||||
\(770\) | −6.99334e8 | − | 4.03760e8i | −1.53184 | − | 0.884406i | ||||
\(771\) | 1.03300e8 | 0.225391 | ||||||||
\(772\) | 1.90069e8i | 0.413103i | ||||||||
\(773\) | −2.39959e8 | − | 1.38541e8i | −0.519516 | − | 0.299943i | 0.217220 | − | 0.976123i | \(-0.430301\pi\) |
−0.736737 | + | 0.676180i | \(0.763634\pi\) | |||||||
\(774\) | 6.25594e7 | − | 3.61187e7i | 0.134918 | − | 0.0778949i | ||||
\(775\) | −4.23893e8 | − | 2.44735e8i | −0.910649 | − | 0.525763i | ||||
\(776\) | −1.61881e7 | − | 2.80387e7i | −0.0346427 | − | 0.0600029i | ||||
\(777\) | −2.97788e7 | − | 5.15784e7i | −0.0634811 | − | 0.109953i | ||||
\(778\) | 4.76214e8i | 1.01126i | ||||||||
\(779\) | −7.29132e8 | + | 3.04608e8i | −1.54239 | + | 0.644360i | ||||
\(780\) | −1.36130e8 | −0.286860 | ||||||||
\(781\) | −1.17063e8 | + | 6.75863e7i | −0.245735 | + | 0.141875i | ||||
\(782\) | 1.46044e8 | − | 8.43186e7i | 0.305396 | − | 0.176321i | ||||
\(783\) | −1.26681e8 | + | 2.19418e8i | −0.263892 | + | 0.457074i | ||||
\(784\) | 5.61004e6 | + | 9.71687e6i | 0.0116417 | + | 0.0201641i | ||||
\(785\) | 2.98656e7 | − | 5.17288e7i | 0.0617394 | − | 0.106936i | ||||
\(786\) | 3.41079e7 | 0.0702405 | ||||||||
\(787\) | 1.68809e8i | 0.346316i | 0.984894 | + | 0.173158i | \(0.0553971\pi\) | ||||
−0.984894 | + | 0.173158i | \(0.944603\pi\) | |||||||
\(788\) | 1.76409e7 | − | 3.05550e7i | 0.0360532 | − | 0.0624459i | ||||
\(789\) | −1.78319e8 | − | 1.02952e8i | −0.363050 | − | 0.209607i | ||||
\(790\) | 6.72176e8 | 1.36333 | ||||||||
\(791\) | − | 2.96102e8i | − | 0.598290i | ||||||
\(792\) | 2.03511e8 | + | 1.17497e8i | 0.409650 | + | 0.236511i | ||||
\(793\) | 7.59399e8 | − | 4.38439e8i | 1.52283 | − | 0.879204i | ||||
\(794\) | 1.33327e8 | + | 7.69763e7i | 0.266352 | + | 0.153778i | ||||
\(795\) | −3.54743e7 | − | 6.14434e7i | −0.0706013 | − | 0.122285i | ||||
\(796\) | −5.54989e7 | − | 9.61270e7i | −0.110039 | − | 0.190593i | ||||
\(797\) | − | 7.19223e8i | − | 1.42065i | −0.703872 | − | 0.710327i | \(-0.748547\pi\) | ||
0.703872 | − | 0.710327i | \(-0.251453\pi\) | |||||||
\(798\) | −4.62061e7 | + | 6.05962e7i | −0.0909265 | + | 0.119244i | ||||
\(799\) | −2.07337e8 | −0.406477 | ||||||||
\(800\) | 1.94540e8 | − | 1.12318e8i | 0.379961 | − | 0.219371i | ||||
\(801\) | −6.08907e8 | + | 3.51552e8i | −1.18482 | + | 0.684057i | ||||
\(802\) | 2.84677e8 | − | 4.93076e8i | 0.551861 | − | 0.955852i | ||||
\(803\) | −1.97681e8 | − | 3.42394e8i | −0.381785 | − | 0.661271i | ||||
\(804\) | −7.34288e6 | + | 1.27182e7i | −0.0141286 | + | 0.0244714i | ||||
\(805\) | −1.34925e9 | −2.58646 | ||||||||
\(806\) | 2.16577e8i | 0.413626i | ||||||||
\(807\) | 4.01848e7 | − | 6.96021e7i | 0.0764612 | − | 0.132435i | ||||
\(808\) | 7.18858e7 | + | 4.15033e7i | 0.136273 | + | 0.0786771i | ||||
\(809\) | 5.20410e8 | 0.982879 | 0.491439 | − | 0.870912i | \(-0.336471\pi\) | ||||
0.491439 | + | 0.870912i | \(0.336471\pi\) | |||||||
\(810\) | − | 5.98610e8i | − | 1.12639i | ||||||
\(811\) | −5.91472e8 | − | 3.41487e8i | −1.10885 | − | 0.640194i | −0.170317 | − | 0.985389i | \(-0.554479\pi\) |
−0.938531 | + | 0.345196i | \(0.887813\pi\) | |||||||
\(812\) | 2.68265e8 | − | 1.54883e8i | 0.501067 | − | 0.289291i | ||||
\(813\) | 4.06470e7 | + | 2.34676e7i | 0.0756410 | + | 0.0436713i | ||||
\(814\) | −1.60709e8 | − | 2.78357e8i | −0.297967 | − | 0.516094i | ||||
\(815\) | 9.25505e7 | + | 1.60302e8i | 0.170964 | + | 0.296119i | ||||
\(816\) | 1.03643e7i | 0.0190752i | ||||||||
\(817\) | 4.87318e7 | + | 1.16648e8i | 0.0893607 | + | 0.213901i | ||||
\(818\) | 5.02223e8 | 0.917565 | ||||||||
\(819\) | 5.94497e8 | − | 3.43233e8i | 1.08218 | − | 0.624794i | ||||
\(820\) | 7.44690e8 | − | 4.29947e8i | 1.35062 | − | 0.779782i | ||||
\(821\) | −4.68268e8 | + | 8.11065e8i | −0.846185 | + | 1.46564i | 0.0384027 | + | 0.999262i | \(0.487773\pi\) |
−0.884588 | + | 0.466373i | \(0.845560\pi\) | |||||||
\(822\) | −5.15223e7 | − | 8.92392e7i | −0.0927640 | − | 0.160672i | ||||
\(823\) | −2.58042e8 | + | 4.46942e8i | −0.462904 | + | 0.801773i | −0.999104 | − | 0.0423177i | \(-0.986526\pi\) |
0.536200 | + | 0.844091i | \(0.319859\pi\) | |||||||
\(824\) | −7.04598e7 | −0.125939 | ||||||||
\(825\) | − | 4.36887e8i | − | 0.778050i | ||||||
\(826\) | −2.81587e8 | + | 4.87724e8i | −0.499658 | + | 0.865434i | ||||
\(827\) | 1.69200e8 | + | 9.76874e7i | 0.299146 | + | 0.172712i | 0.642059 | − | 0.766655i | \(-0.278080\pi\) |
−0.342913 | + | 0.939367i | \(0.611414\pi\) | |||||||
\(828\) | 3.92642e8 | 0.691681 | ||||||||
\(829\) | − | 1.16831e8i | − | 0.205066i | −0.994730 | − | 0.102533i | \(-0.967305\pi\) | ||
0.994730 | − | 0.102533i | \(-0.0326947\pi\) | |||||||
\(830\) | 3.05254e8 | + | 1.76238e8i | 0.533859 | + | 0.308224i | ||||
\(831\) | −2.49108e7 | + | 1.43822e7i | −0.0434094 | + | 0.0250624i | ||||
\(832\) | −8.60788e7 | − | 4.96976e7i | −0.149460 | − | 0.0862910i | ||||
\(833\) | −9.22220e6 | − | 1.59733e7i | −0.0159551 | − | 0.0276350i | ||||
\(834\) | 2.66325e6 | + | 4.61289e6i | 0.00459107 | + | 0.00795197i | ||||
\(835\) | − | 1.10148e9i | − | 1.89198i | ||||||
\(836\) | −2.49364e8 | + | 3.27024e8i | −0.426790 | + | 0.559706i | ||||
\(837\) | 1.07906e8 | 0.184022 | ||||||||
\(838\) | −5.82723e8 | + | 3.36435e8i | −0.990216 | + | 0.571702i | ||||
\(839\) | −6.27152e7 | + | 3.62086e7i | −0.106191 | + | 0.0613092i | −0.552155 | − | 0.833742i | \(-0.686194\pi\) |
0.445964 | + | 0.895051i | \(0.352861\pi\) | |||||||
\(840\) | 4.14619e7 | − | 7.18141e7i | 0.0699538 | − | 0.121164i | ||||
\(841\) | 1.41731e8 | + | 2.45485e8i | 0.238274 | + | 0.412702i | ||||
\(842\) | 1.64975e8 | − | 2.85745e8i | 0.276364 | − | 0.478676i | ||||
\(843\) | −1.25278e8 | −0.209118 | ||||||||
\(844\) | 1.49321e8i | 0.248366i | ||||||||
\(845\) | −5.10126e8 | + | 8.83564e8i | −0.845488 | + | 1.46443i | ||||
\(846\) | −4.18072e8 | − | 2.41374e8i | −0.690462 | − | 0.398639i | ||||
\(847\) | −5.68059e8 | −0.934853 | ||||||||
\(848\) | − | 5.18031e7i | − | 0.0849509i | ||||||
\(849\) | 1.53438e8 | + | 8.85877e7i | 0.250733 | + | 0.144761i | ||||
\(850\) | −3.19800e8 | + | 1.84636e8i | −0.520740 | + | 0.300649i | ||||
\(851\) | −4.65094e8 | − | 2.68522e8i | −0.754662 | − | 0.435704i | ||||
\(852\) | −6.94040e6 | − | 1.20211e7i | −0.0112219 | − | 0.0194369i | ||||
\(853\) | 3.14832e8 | + | 5.45304e8i | 0.507261 | + | 0.878601i | 0.999965 | + | 0.00840435i | \(0.00267522\pi\) |
−0.492704 | + | 0.870197i | \(0.663991\pi\) | |||||||
\(854\) | 5.34151e8i | 0.857612i | ||||||||
\(855\) | 1.09940e9 | + | 1.41352e8i | 1.75897 | + | 0.226153i | ||||
\(856\) | −1.41098e8 | −0.224957 | ||||||||
\(857\) | −7.43684e8 | + | 4.29366e8i | −1.18153 | + | 0.682158i | −0.956369 | − | 0.292163i | \(-0.905625\pi\) |
−0.225164 | + | 0.974321i | \(0.572292\pi\) | |||||||
\(858\) | −1.67412e8 | + | 9.66555e7i | −0.265048 | + | 0.153026i | ||||
\(859\) | 2.39610e8 | − | 4.15017e8i | 0.378029 | − | 0.654766i | −0.612746 | − | 0.790280i | \(-0.709935\pi\) |
0.990775 | + | 0.135514i | \(0.0432685\pi\) | |||||||
\(860\) | −6.87840e7 | − | 1.19137e8i | −0.108141 | − | 0.187306i | ||||
\(861\) | 1.13132e8 | − | 1.95950e8i | 0.177245 | − | 0.306997i | ||||
\(862\) | 8.95510e8 | 1.39813 | ||||||||
\(863\) | 3.01060e8i | 0.468404i | 0.972188 | + | 0.234202i | \(0.0752478\pi\) | ||||
−0.972188 | + | 0.234202i | \(0.924752\pi\) | |||||||
\(864\) | −2.47610e7 | + | 4.28874e7i | −0.0383908 | + | 0.0664949i | ||||
\(865\) | −2.55022e8 | − | 1.47237e8i | −0.394029 | − | 0.227493i | ||||
\(866\) | −4.87288e8 | −0.750296 | ||||||||
\(867\) | 1.28095e8i | 0.196550i | ||||||||
\(868\) | −1.14253e8 | − | 6.59641e7i | −0.174707 | − | 0.100867i | ||||
\(869\) | 8.26640e8 | − | 4.77261e8i | 1.25967 | − | 0.727271i | ||||
\(870\) | 2.03616e8 | + | 1.17558e8i | 0.309210 | + | 0.178523i | ||||
\(871\) | 1.15761e8 | + | 2.00503e8i | 0.175189 | + | 0.303436i | ||||
\(872\) | 8.46247e7 | + | 1.46574e8i | 0.127629 | + | 0.221059i | ||||
\(873\) | 1.23919e8i | 0.186250i | ||||||||
\(874\) | −8.76253e7 | + | 6.81530e8i | −0.131249 | + | 1.02082i | ||||
\(875\) | 1.76409e9 | 2.63328 | ||||||||
\(876\) | 3.51602e7 | − | 2.02998e7i | 0.0523046 | − | 0.0301981i | ||||
\(877\) | −5.12910e8 | + | 2.96129e8i | −0.760401 | + | 0.439018i | −0.829440 | − | 0.558596i | \(-0.811340\pi\) |
0.0690387 | + | 0.997614i | \(0.478007\pi\) | |||||||
\(878\) | 2.53393e8 | − | 4.38889e8i | 0.374379 | − | 0.648443i | ||||
\(879\) | −4.70667e7 | − | 8.15220e7i | −0.0693023 | − | 0.120035i | ||||
\(880\) | 2.23760e8 | − | 3.87564e8i | 0.328348 | − | 0.568716i | ||||
\(881\) | 940805. | 0.00137585 | 0.000687926 | − | 1.00000i | \(-0.499781\pi\) | ||||
0.000687926 | 1.00000i | \(0.499781\pi\) | ||||||||
\(882\) | − | 4.29446e7i | − | 0.0625896i | ||||||
\(883\) | 1.99908e8 | − | 3.46251e8i | 0.290368 | − | 0.502932i | −0.683529 | − | 0.729923i | \(-0.739556\pi\) |
0.973897 | + | 0.226992i | \(0.0728890\pi\) | |||||||
\(884\) | 1.41503e8 | + | 8.16967e7i | 0.204837 | + | 0.118263i | ||||
\(885\) | −4.27456e8 | −0.616682 | ||||||||
\(886\) | 3.90385e6i | 0.00561296i | ||||||||
\(887\) | 8.22057e8 | + | 4.74615e8i | 1.17796 | + | 0.680096i | 0.955542 | − | 0.294855i | \(-0.0952713\pi\) |
0.222419 | + | 0.974951i | \(0.428605\pi\) | |||||||
\(888\) | 2.85843e7 | − | 1.65031e7i | 0.0408215 | − | 0.0235683i | ||||
\(889\) | 2.98967e8 | + | 1.72609e8i | 0.425518 | + | 0.245673i | ||||
\(890\) | 6.69492e8 | + | 1.15959e9i | 0.949676 | + | 1.64489i | ||||
\(891\) | −4.25027e8 | − | 7.36169e8i | −0.600874 | − | 1.04074i | ||||
\(892\) | 5.80029e8i | 0.817251i | ||||||||
\(893\) | 5.12266e8 | − | 6.71803e8i | 0.719352 | − | 0.943382i | ||||
\(894\) | 6.49295e7 | 0.0908718 | ||||||||
\(895\) | −2.01110e8 | + | 1.16111e8i | −0.280520 | + | 0.161958i | ||||
\(896\) | 5.24350e7 | − | 3.02734e7i | 0.0728949 | − | 0.0420859i | ||||
\(897\) | −1.61497e8 | + | 2.79722e8i | −0.223763 | + | 0.387569i | ||||
\(898\) | 3.18407e8 | + | 5.51497e8i | 0.439697 | + | 0.761577i | ||||
\(899\) | 1.87029e8 | − | 3.23944e8i | 0.257413 | − | 0.445852i | ||||
\(900\) | −8.59787e8 | −1.17941 | ||||||||
\(901\) | 8.51578e7i | 0.116426i | ||||||||
\(902\) | 6.10545e8 | − | 1.05749e9i | 0.831951 | − | 1.44098i | ||||
\(903\) | −3.13485e7 | − | 1.80991e7i | −0.0425749 | − | 0.0245806i | ||||
\(904\) | 1.64097e8 | 0.222124 | ||||||||
\(905\) | 2.20183e9i | 2.97056i | ||||||||
\(906\) | −2.71892e7 | − | 1.56977e7i | −0.0365604 | − | 0.0211082i | ||||
\(907\) | −5.51070e8 | + | 3.18160e8i | −0.738559 | + | 0.426407i | −0.821545 | − | 0.570144i | \(-0.806888\pi\) |
0.0829865 | + | 0.996551i | \(0.473554\pi\) | |||||||
\(908\) | 4.38119e7 | + | 2.52948e7i | 0.0585241 | + | 0.0337889i | ||||
\(909\) | −1.58853e8 | − | 2.75141e8i | −0.211497 | − | 0.366323i | ||||
\(910\) | −6.53648e8 | − | 1.13215e9i | −0.867401 | − | 1.50238i | ||||
\(911\) | 6.46761e8i | 0.855438i | 0.903912 | + | 0.427719i | \(0.140683\pi\) | ||||
−0.903912 | + | 0.427719i | \(0.859317\pi\) | |||||||
\(912\) | −3.35819e7 | − | 2.56070e7i | −0.0442711 | − | 0.0337578i | ||||
\(913\) | 5.00533e8 | 0.657688 | ||||||||
\(914\) | −2.86715e8 | + | 1.65535e8i | −0.375502 | + | 0.216796i | ||||
\(915\) | −3.51110e8 | + | 2.02713e8i | −0.458331 | + | 0.264618i | ||||
\(916\) | 2.97747e7 | − | 5.15713e7i | 0.0387402 | − | 0.0670999i | ||||
\(917\) | 1.63774e8 | + | 2.83665e8i | 0.212391 | + | 0.367873i | ||||
\(918\) | 4.07040e7 | − | 7.05015e7i | 0.0526150 | − | 0.0911318i | ||||
\(919\) | −3.94782e8 | −0.508641 | −0.254320 | − | 0.967120i | \(-0.581852\pi\) | ||||
−0.254320 | + | 0.967120i | \(0.581852\pi\) | |||||||
\(920\) | − | 7.47743e8i | − | 0.960260i | ||||||
\(921\) | 1.30478e8 | − | 2.25995e8i | 0.167017 | − | 0.289281i | ||||
\(922\) | 3.52780e8 | + | 2.03678e8i | 0.450103 | + | 0.259867i | ||||
\(923\) | −2.18831e8 | −0.278294 | ||||||||
\(924\) | − | 1.17756e8i | − | 0.149268i | ||||||
\(925\) | 1.01844e9 | + | 5.87996e8i | 1.28680 | + | 0.742932i | ||||
\(926\) | −1.78835e8 | + | 1.03250e8i | −0.225226 | + | 0.130034i | ||||
\(927\) | 2.33553e8 | + | 1.34842e8i | 0.293188 | + | 0.169272i | ||||
\(928\) | 8.58347e7 | + | 1.48670e8i | 0.107404 | + | 0.186028i | ||||
\(929\) | −6.61103e8 | − | 1.14506e9i | −0.824559 | − | 1.42818i | −0.902256 | − | 0.431201i | \(-0.858090\pi\) |
0.0776968 | − | 0.996977i | \(-0.475243\pi\) | |||||||
\(930\) | − | 1.00135e8i | − | 0.124491i | ||||||
\(931\) | 7.45412e7 | + | 9.58387e6i | 0.0923735 | + | 0.0118766i | ||||
\(932\) | −4.42713e8 | −0.546858 | ||||||||
\(933\) | 2.88054e7 | − | 1.66308e7i | 0.0354674 | − | 0.0204771i | ||||
\(934\) | −6.93488e8 | + | 4.00386e8i | −0.851135 | + | 0.491403i | ||||
\(935\) | −3.67834e8 | + | 6.37107e8i | −0.450005 | + | 0.779431i | ||||
\(936\) | 1.90216e8 | + | 3.29465e8i | 0.231964 | + | 0.401773i | ||||
\(937\) | −1.22981e8 | + | 2.13009e8i | −0.149492 | + | 0.258928i | −0.931040 | − | 0.364917i | \(-0.881097\pi\) |
0.781548 | + | 0.623845i | \(0.214431\pi\) | |||||||
\(938\) | −1.41032e8 | −0.170886 | ||||||||
\(939\) | 2.05950e8i | 0.248751i | ||||||||
\(940\) | −4.59670e8 | + | 7.96171e8i | −0.553430 | + | 0.958568i | ||||
\(941\) | 1.08459e9 | + | 6.26190e8i | 1.30166 | + | 0.751514i | 0.980689 | − | 0.195575i | \(-0.0626574\pi\) |
0.320971 | + | 0.947089i | \(0.395991\pi\) | |||||||
\(942\) | 8.71022e6 | 0.0104202 | ||||||||
\(943\) | − | 2.04026e9i | − | 2.43305i | ||||||
\(944\) | −2.70292e8 | − | 1.56053e8i | −0.321305 | − | 0.185505i | ||||
\(945\) | −5.64076e8 | + | 3.25670e8i | −0.668409 | + | 0.385906i | ||||
\(946\) | −1.69180e8 | − | 9.76764e7i | −0.199837 | − | 0.115376i | ||||
\(947\) | −2.22894e8 | − | 3.86064e8i | −0.262451 | − | 0.454579i | 0.704441 | − | 0.709762i | \(-0.251198\pi\) |
−0.966893 | + | 0.255183i | \(0.917864\pi\) | |||||||
\(948\) | 4.90096e7 | + | 8.48871e7i | 0.0575249 | + | 0.0996361i | ||||
\(949\) | − | 6.40053e8i | − | 0.748889i | ||||||
\(950\) | 1.91877e8 | − | 1.49238e9i | 0.223796 | − | 1.74064i | ||||
\(951\) | −1.01427e8 | −0.117927 | ||||||||
\(952\) | −8.61966e7 | + | 4.97656e7i | −0.0999032 | + | 0.0576791i | ||||
\(953\) | −1.30521e9 | + | 7.53566e8i | −1.50801 | + | 0.870648i | −0.508049 | + | 0.861328i | \(0.669633\pi\) |
−0.999957 | + | 0.00931961i | \(0.997033\pi\) | |||||||
\(954\) | −9.91376e7 | + | 1.71711e8i | −0.114181 | + | 0.197767i | ||||
\(955\) | −8.21469e8 | − | 1.42283e9i | −0.943150 | − | 1.63358i | ||||
\(956\) | −1.78879e7 | + | 3.09827e7i | −0.0204732 | + | 0.0354606i | ||||
\(957\) | 3.33875e8 | 0.380932 | ||||||||
\(958\) | − | 8.11831e8i | − | 0.923356i | ||||||
\(959\) | 4.94783e8 | − | 8.56990e8i | 0.560995 | − | 0.971672i | ||||
\(960\) | 3.97987e7 | + | 2.29778e7i | 0.0449837 | + | 0.0259714i | ||||
\(961\) | 7.28193e8 | 0.820496 | ||||||||
\(962\) | − | 5.20345e8i | − | 0.584476i | ||||||
\(963\) | 4.67697e8 | + | 2.70025e8i | 0.523704 | + | 0.302361i | ||||
\(964\) | −1.41367e8 | + | 8.16183e7i | −0.157804 | + | 0.0911080i | ||||
\(965\) | −1.19980e9 | − | 6.92705e8i | −1.33514 | − | 0.770844i | ||||
\(966\) | −9.83764e7 | − | 1.70393e8i | −0.109134 | − | 0.189025i | ||||
\(967\) | 2.51900e8 | + | 4.36303e8i | 0.278579 | + | 0.482513i | 0.971032 | − | 0.238950i | \(-0.0768032\pi\) |
−0.692453 | + | 0.721463i | \(0.743470\pi\) | |||||||
\(968\) | − | 3.14813e8i | − | 0.347078i | ||||||
\(969\) | 5.52044e7 | + | 4.20947e7i | 0.0606739 | + | 0.0462654i | ||||
\(970\) | 2.35990e8 | 0.258571 | ||||||||
\(971\) | −6.42819e8 | + | 3.71132e8i | −0.702152 | + | 0.405388i | −0.808148 | − | 0.588979i | \(-0.799530\pi\) |
0.105996 | + | 0.994367i | \(0.466197\pi\) | |||||||
\(972\) | 2.48312e8 | − | 1.43363e8i | 0.270396 | − | 0.156113i | ||||
\(973\) | −2.55760e7 | + | 4.42989e7i | −0.0277648 | + | 0.0480900i | ||||
\(974\) | 2.88054e8 | + | 4.98925e8i | 0.311744 | + | 0.539956i | ||||
\(975\) | 3.53639e8 | − | 6.12520e8i | 0.381545 | − | 0.660856i | ||||
\(976\) | −2.96022e8 | −0.318401 | ||||||||
\(977\) | − | 1.50889e9i | − | 1.61799i | −0.587817 | − | 0.808994i | \(-0.700013\pi\) | ||
0.587817 | − | 0.808994i | \(-0.299987\pi\) | |||||||
\(978\) | −1.34960e7 | + | 2.33758e7i | −0.0144275 | + | 0.0249891i | ||||
\(979\) | 1.64668e9 | + | 9.50710e8i | 1.75493 | + | 1.01321i | ||||
\(980\) | −8.17831e7 | −0.0868931 | ||||||||
\(981\) | − | 6.47798e8i | − | 0.686172i | ||||||
\(982\) | −1.05595e8 | − | 6.09655e7i | −0.111509 | − | 0.0643799i | ||||
\(983\) | 4.08670e8 | − | 2.35946e8i | 0.430242 | − | 0.248400i | −0.269208 | − | 0.963082i | \(-0.586762\pi\) |
0.699450 | + | 0.714682i | \(0.253429\pi\) | |||||||
\(984\) | 1.08593e8 | + | 6.26964e7i | 0.113977 | + | 0.0658048i | ||||
\(985\) | 1.28585e8 | + | 2.22715e8i | 0.134549 | + | 0.233046i | ||||
\(986\) | −1.41101e8 | − | 2.44395e8i | −0.147198 | − | 0.254954i | ||||
\(987\) | 2.41905e8i | 0.251590i | ||||||||
\(988\) | −6.14320e8 | + | 2.56643e8i | −0.636977 | + | 0.266108i | ||||
\(989\) | −3.26406e8 | −0.337419 | ||||||||
\(990\) | −1.48339e9 | + | 8.56437e8i | −1.52880 | + | 0.882653i | ||||
\(991\) | 5.94726e8 | − | 3.43365e8i | 0.611077 | − | 0.352806i | −0.162310 | − | 0.986740i | \(-0.551894\pi\) |
0.773387 | + | 0.633934i | \(0.218561\pi\) | |||||||
\(992\) | 3.65567e7 | − | 6.33180e7i | 0.0374483 | − | 0.0648623i | ||||
\(993\) | 9.39607e7 | + | 1.62745e8i | 0.0959618 | + | 0.166211i | ||||
\(994\) | 6.66506e7 | − | 1.15442e8i | 0.0678649 | − | 0.117545i | ||||
\(995\) | 8.09063e8 | 0.821322 | ||||||||
\(996\) | 5.13994e7i | 0.0520212i | ||||||||
\(997\) | −7.43813e7 | + | 1.28832e8i | −0.0750548 | + | 0.129999i | −0.901110 | − | 0.433590i | \(-0.857247\pi\) |
0.826055 | + | 0.563589i | \(0.190580\pi\) | |||||||
\(998\) | 2.80168e8 | + | 1.61755e8i | 0.281855 | + | 0.162729i | ||||
\(999\) | −2.59254e8 | −0.260033 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 38.7.d.a.31.8 | yes | 20 | |
3.2 | odd | 2 | 342.7.m.a.145.1 | 20 | |||
19.8 | odd | 6 | inner | 38.7.d.a.27.8 | ✓ | 20 | |
57.8 | even | 6 | 342.7.m.a.217.1 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.7.d.a.27.8 | ✓ | 20 | 19.8 | odd | 6 | inner | |
38.7.d.a.31.8 | yes | 20 | 1.1 | even | 1 | trivial | |
342.7.m.a.145.1 | 20 | 3.2 | odd | 2 | |||
342.7.m.a.217.1 | 20 | 57.8 | even | 6 |