Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [66,6,Mod(25,66)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(66, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 8]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("66.25");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 66 = 2 \cdot 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 66.e (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(10.5853321077\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 89x^{6} + 22551x^{4} + 4006069x^{2} + 405257161 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 49.1 | ||
Root | \(-10.5047 - 7.63209i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 66.49 |
Dual form | 66.6.e.a.31.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/66\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.23607 | + | 3.80423i | 0.218508 | + | 0.672499i | ||||
\(3\) | −7.28115 | − | 5.29007i | −0.467086 | − | 0.339358i | ||||
\(4\) | −12.9443 | + | 9.40456i | −0.404508 | + | 0.293893i | ||||
\(5\) | −9.47098 | + | 29.1487i | −0.169422 | + | 0.521428i | −0.999335 | − | 0.0364655i | \(-0.988390\pi\) |
0.829913 | + | 0.557893i | \(0.188390\pi\) | |||||||
\(6\) | 11.1246 | − | 34.2380i | 0.126156 | − | 0.388267i | ||||
\(7\) | 1.28786 | − | 0.935685i | 0.00993398 | − | 0.00721746i | −0.582807 | − | 0.812610i | \(-0.698046\pi\) |
0.592741 | + | 0.805393i | \(0.298046\pi\) | |||||||
\(8\) | −51.7771 | − | 37.6183i | −0.286031 | − | 0.207813i | ||||
\(9\) | 25.0304 | + | 77.0356i | 0.103006 | + | 0.317019i | ||||
\(10\) | −122.595 | −0.387679 | ||||||||
\(11\) | −119.850 | − | 382.997i | −0.298645 | − | 0.954364i | ||||
\(12\) | 144.000 | 0.288675 | ||||||||
\(13\) | −289.220 | − | 890.129i | −0.474647 | − | 1.46081i | −0.846433 | − | 0.532495i | \(-0.821255\pi\) |
0.371786 | − | 0.928318i | \(-0.378745\pi\) | |||||||
\(14\) | 5.15144 | + | 3.74274i | 0.00702439 | + | 0.00510352i | ||||
\(15\) | 223.158 | − | 162.134i | 0.256085 | − | 0.186057i | ||||
\(16\) | 79.1084 | − | 243.470i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 121.877 | − | 375.100i | 0.102282 | − | 0.314793i | −0.886801 | − | 0.462152i | \(-0.847077\pi\) |
0.989083 | + | 0.147359i | \(0.0470774\pi\) | |||||||
\(18\) | −262.122 | + | 190.442i | −0.190687 | + | 0.138542i | ||||
\(19\) | −1730.20 | − | 1257.07i | −1.09955 | − | 0.798867i | −0.118560 | − | 0.992947i | \(-0.537828\pi\) |
−0.980986 | + | 0.194080i | \(0.937828\pi\) | |||||||
\(20\) | −151.536 | − | 466.379i | −0.0847111 | − | 0.260714i | ||||
\(21\) | −14.3269 | −0.00708933 | ||||||||
\(22\) | 1308.87 | − | 929.347i | 0.576552 | − | 0.409375i | ||||
\(23\) | −90.5594 | −0.0356955 | −0.0178478 | − | 0.999841i | \(-0.505681\pi\) | ||||
−0.0178478 | + | 0.999841i | \(0.505681\pi\) | |||||||
\(24\) | 177.994 | + | 547.809i | 0.0630778 | + | 0.194134i | ||||
\(25\) | 1768.23 | + | 1284.70i | 0.565834 | + | 0.411102i | ||||
\(26\) | 3028.76 | − | 2200.52i | 0.878680 | − | 0.638399i | ||||
\(27\) | 225.273 | − | 693.320i | 0.0594703 | − | 0.183031i | ||||
\(28\) | −7.87070 | + | 24.2235i | −0.00189722 | + | 0.00583905i | ||||
\(29\) | 854.075 | − | 620.522i | 0.188582 | − | 0.137013i | −0.489488 | − | 0.872010i | \(-0.662816\pi\) |
0.678071 | + | 0.734997i | \(0.262816\pi\) | |||||||
\(30\) | 892.633 | + | 648.536i | 0.181080 | + | 0.131562i | ||||
\(31\) | −1290.47 | − | 3971.67i | −0.241182 | − | 0.742282i | −0.996241 | − | 0.0866253i | \(-0.972392\pi\) |
0.755059 | − | 0.655657i | \(-0.227608\pi\) | |||||||
\(32\) | 1024.00 | 0.176777 | ||||||||
\(33\) | −1153.44 | + | 3422.68i | −0.184378 | + | 0.547118i | ||||
\(34\) | 1577.61 | 0.234047 | ||||||||
\(35\) | 15.0767 | + | 46.4013i | 0.00208035 | + | 0.00640265i | ||||
\(36\) | −1048.49 | − | 761.770i | −0.134836 | − | 0.0979642i | ||||
\(37\) | −9318.86 | + | 6770.54i | −1.11907 | + | 0.813054i | −0.984068 | − | 0.177791i | \(-0.943105\pi\) |
−0.135004 | + | 0.990845i | \(0.543105\pi\) | |||||||
\(38\) | 2643.52 | − | 8135.91i | 0.296977 | − | 0.914002i | ||||
\(39\) | −2602.98 | + | 8011.16i | −0.274038 | + | 0.843401i | ||||
\(40\) | 1586.90 | − | 1152.95i | 0.156820 | − | 0.113936i | ||||
\(41\) | 1075.99 | + | 781.752i | 0.0999651 | + | 0.0726289i | 0.636645 | − | 0.771157i | \(-0.280322\pi\) |
−0.536680 | + | 0.843786i | \(0.680322\pi\) | |||||||
\(42\) | −17.7091 | − | 54.5029i | −0.00154908 | − | 0.00476756i | ||||
\(43\) | −17727.1 | −1.46206 | −0.731032 | − | 0.682343i | \(-0.760961\pi\) | ||||
−0.731032 | + | 0.682343i | \(0.760961\pi\) | |||||||
\(44\) | 5153.29 | + | 3830.49i | 0.401285 | + | 0.298279i | ||||
\(45\) | −2482.55 | −0.182754 | ||||||||
\(46\) | −111.938 | − | 344.508i | −0.00779976 | − | 0.0240052i | ||||
\(47\) | 8078.28 | + | 5869.21i | 0.533426 | + | 0.387557i | 0.821638 | − | 0.570010i | \(-0.193061\pi\) |
−0.288212 | + | 0.957567i | \(0.593061\pi\) | |||||||
\(48\) | −1863.98 | + | 1354.26i | −0.116772 | + | 0.0848395i | ||||
\(49\) | −5192.87 | + | 15982.0i | −0.308970 | + | 0.950913i | ||||
\(50\) | −2701.62 | + | 8314.72i | −0.152827 | + | 0.470352i | ||||
\(51\) | −2871.71 | + | 2086.42i | −0.154602 | + | 0.112325i | ||||
\(52\) | 12115.0 | + | 8802.08i | 0.621321 | + | 0.451416i | ||||
\(53\) | −7853.15 | − | 24169.5i | −0.384020 | − | 1.18189i | −0.937189 | − | 0.348823i | \(-0.886581\pi\) |
0.553168 | − | 0.833070i | \(-0.313419\pi\) | |||||||
\(54\) | 2916.00 | 0.136083 | ||||||||
\(55\) | 12299.0 | + | 133.898i | 0.548229 | + | 0.00596851i | ||||
\(56\) | −101.880 | −0.00434131 | ||||||||
\(57\) | 5947.91 | + | 18305.8i | 0.242481 | + | 0.746279i | ||||
\(58\) | 3416.30 | + | 2482.09i | 0.133348 | + | 0.0968829i | ||||
\(59\) | 6942.17 | − | 5043.78i | 0.259636 | − | 0.188637i | −0.450350 | − | 0.892852i | \(-0.648701\pi\) |
0.709987 | + | 0.704215i | \(0.248701\pi\) | |||||||
\(60\) | −1363.82 | + | 4197.41i | −0.0489080 | + | 0.150523i | ||||
\(61\) | −12159.0 | + | 37421.5i | −0.418382 | + | 1.28765i | 0.490809 | + | 0.871267i | \(0.336701\pi\) |
−0.909191 | + | 0.416380i | \(0.863299\pi\) | |||||||
\(62\) | 13514.0 | − | 9818.51i | 0.446484 | − | 0.324389i | ||||
\(63\) | 104.317 | + | 75.7905i | 0.00331133 | + | 0.00240582i | ||||
\(64\) | 1265.73 | + | 3895.53i | 0.0386271 | + | 0.118882i | ||||
\(65\) | 28685.3 | 0.842124 | ||||||||
\(66\) | −14446.4 | − | 157.276i | −0.408224 | − | 0.00444429i | ||||
\(67\) | 6661.08 | 0.181283 | 0.0906417 | − | 0.995884i | \(-0.471108\pi\) | ||||
0.0906417 | + | 0.995884i | \(0.471108\pi\) | |||||||
\(68\) | 1950.04 | + | 6001.60i | 0.0511412 | + | 0.157396i | ||||
\(69\) | 659.377 | + | 479.065i | 0.0166729 | + | 0.0121136i | ||||
\(70\) | −157.885 | + | 114.710i | −0.00385120 | + | 0.00279806i | ||||
\(71\) | 9026.52 | − | 27780.8i | 0.212508 | − | 0.654031i | −0.786814 | − | 0.617191i | \(-0.788271\pi\) |
0.999321 | − | 0.0368403i | \(-0.0117293\pi\) | |||||||
\(72\) | 1601.94 | − | 4930.28i | 0.0364180 | − | 0.112083i | ||||
\(73\) | −311.338 | + | 226.200i | −0.00683793 | + | 0.00496804i | −0.591199 | − | 0.806526i | \(-0.701345\pi\) |
0.584361 | + | 0.811494i | \(0.301345\pi\) | |||||||
\(74\) | −37275.4 | − | 27082.2i | −0.791304 | − | 0.574916i | ||||
\(75\) | −6078.64 | − | 18708.1i | −0.124782 | − | 0.384041i | ||||
\(76\) | 34218.4 | 0.679557 | ||||||||
\(77\) | −512.715 | − | 381.105i | −0.00985482 | − | 0.00732518i | ||||
\(78\) | −33693.7 | −0.627065 | ||||||||
\(79\) | −7944.07 | − | 24449.3i | −0.143211 | − | 0.440757i | 0.853566 | − | 0.520985i | \(-0.174435\pi\) |
−0.996777 | + | 0.0802278i | \(0.974435\pi\) | |||||||
\(80\) | 6347.61 | + | 4611.81i | 0.110888 | + | 0.0805650i | ||||
\(81\) | −5307.96 | + | 3856.46i | −0.0898908 | + | 0.0653095i | ||||
\(82\) | −1643.97 | + | 5059.60i | −0.0269996 | + | 0.0830963i | ||||
\(83\) | 31405.1 | − | 96655.1i | 0.500386 | − | 1.54003i | −0.308004 | − | 0.951385i | \(-0.599661\pi\) |
0.808391 | − | 0.588646i | \(-0.200339\pi\) | |||||||
\(84\) | 185.452 | − | 134.739i | 0.00286769 | − | 0.00208350i | ||||
\(85\) | 9779.38 | + | 7105.14i | 0.146813 | + | 0.106666i | ||||
\(86\) | −21911.9 | − | 67437.9i | −0.319473 | − | 0.983236i | ||||
\(87\) | −9501.25 | −0.134581 | ||||||||
\(88\) | −8202.22 | + | 24339.0i | −0.112908 | + | 0.335040i | ||||
\(89\) | −55800.4 | −0.746728 | −0.373364 | − | 0.927685i | \(-0.621796\pi\) | ||||
−0.373364 | + | 0.927685i | \(0.621796\pi\) | |||||||
\(90\) | −3068.60 | − | 9444.18i | −0.0399332 | − | 0.122902i | ||||
\(91\) | −1205.36 | − | 875.742i | −0.0152585 | − | 0.0110859i | ||||
\(92\) | 1172.22 | − | 851.671i | 0.0144391 | − | 0.0104907i | ||||
\(93\) | −11614.3 | + | 35745.1i | −0.139247 | + | 0.428557i | ||||
\(94\) | −12342.5 | + | 37986.3i | −0.144073 | + | 0.443412i | ||||
\(95\) | 53028.6 | − | 38527.5i | 0.602839 | − | 0.437988i | ||||
\(96\) | −7455.90 | − | 5417.03i | −0.0825700 | − | 0.0599906i | ||||
\(97\) | −51711.3 | − | 159151.i | −0.558028 | − | 1.71743i | −0.687809 | − | 0.725892i | \(-0.741427\pi\) |
0.129780 | − | 0.991543i | \(-0.458573\pi\) | |||||||
\(98\) | −67217.9 | −0.707000 | ||||||||
\(99\) | 26504.5 | − | 18819.3i | 0.271789 | − | 0.192981i | ||||
\(100\) | −34970.5 | −0.349705 | ||||||||
\(101\) | −11435.6 | − | 35195.1i | −0.111546 | − | 0.343304i | 0.879665 | − | 0.475594i | \(-0.157767\pi\) |
−0.991211 | + | 0.132290i | \(0.957767\pi\) | |||||||
\(102\) | −11486.9 | − | 8345.69i | −0.109320 | − | 0.0794258i | ||||
\(103\) | −63969.1 | + | 46476.3i | −0.594124 | + | 0.431657i | −0.843789 | − | 0.536676i | \(-0.819680\pi\) |
0.249664 | + | 0.968333i | \(0.419680\pi\) | |||||||
\(104\) | −18510.1 | + | 56968.3i | −0.167813 | + | 0.516475i | ||||
\(105\) | 135.690 | − | 417.612i | 0.00120109 | − | 0.00369657i | ||||
\(106\) | 82239.2 | − | 59750.3i | 0.710910 | − | 0.516506i | ||||
\(107\) | 143789. | + | 104469.i | 1.21413 | + | 0.882120i | 0.995600 | − | 0.0937094i | \(-0.0298725\pi\) |
0.218534 | + | 0.975829i | \(0.429872\pi\) | |||||||
\(108\) | 3604.37 | + | 11093.1i | 0.0297352 | + | 0.0915155i | ||||
\(109\) | 19984.5 | 0.161112 | 0.0805560 | − | 0.996750i | \(-0.474330\pi\) | ||||
0.0805560 | + | 0.996750i | \(0.474330\pi\) | |||||||
\(110\) | 14693.0 | + | 46953.6i | 0.115779 | + | 0.369987i | ||||
\(111\) | 103669. | 0.798620 | ||||||||
\(112\) | −125.931 | − | 387.576i | −0.000948611 | − | 0.00291952i | ||||
\(113\) | 169582. | + | 123208.i | 1.24935 | + | 0.907703i | 0.998184 | − | 0.0602416i | \(-0.0191871\pi\) |
0.251163 | + | 0.967945i | \(0.419187\pi\) | |||||||
\(114\) | −62287.3 | + | 45254.4i | −0.448888 | + | 0.326136i | ||||
\(115\) | 857.686 | − | 2639.69i | 0.00604761 | − | 0.0186126i | ||||
\(116\) | −5219.64 | + | 16064.4i | −0.0360160 | + | 0.110846i | ||||
\(117\) | 61332.3 | − | 44560.5i | 0.414214 | − | 0.300944i | ||||
\(118\) | 27768.7 | + | 20175.1i | 0.183591 | + | 0.133386i | ||||
\(119\) | −194.015 | − | 597.115i | −0.00125593 | − | 0.00386537i | ||||
\(120\) | −17653.7 | −0.111913 | ||||||||
\(121\) | −132323. | + | 91804.3i | −0.821622 | + | 0.570033i | ||||
\(122\) | −157389. | −0.957361 | ||||||||
\(123\) | −3698.92 | − | 11384.1i | −0.0220451 | − | 0.0678479i | ||||
\(124\) | 54056.1 | + | 39274.1i | 0.315712 | + | 0.229378i | ||||
\(125\) | −131680. | + | 95670.8i | −0.753778 | + | 0.547652i | ||||
\(126\) | −159.382 | + | 490.526i | −0.000894359 | + | 0.00275255i | ||||
\(127\) | 35056.5 | − | 107893.i | 0.192868 | − | 0.593585i | −0.807127 | − | 0.590377i | \(-0.798979\pi\) |
0.999995 | − | 0.00320783i | \(-0.00102109\pi\) | |||||||
\(128\) | −13254.9 | + | 9630.27i | −0.0715077 | + | 0.0519534i | ||||
\(129\) | 129074. | + | 93777.6i | 0.682910 | + | 0.496163i | ||||
\(130\) | 35457.0 | + | 109125.i | 0.184011 | + | 0.566327i | ||||
\(131\) | 30840.5 | 0.157015 | 0.0785077 | − | 0.996914i | \(-0.474984\pi\) | ||||
0.0785077 | + | 0.996914i | \(0.474984\pi\) | |||||||
\(132\) | −17258.4 | − | 55151.6i | −0.0862115 | − | 0.275501i | ||||
\(133\) | −3404.48 | −0.0166887 | ||||||||
\(134\) | 8233.55 | + | 25340.3i | 0.0396119 | + | 0.121913i | ||||
\(135\) | 18075.8 | + | 13132.9i | 0.0853618 | + | 0.0620190i | ||||
\(136\) | −20421.1 | + | 14836.8i | −0.0946741 | + | 0.0687848i | ||||
\(137\) | −86723.1 | + | 266906.i | −0.394760 | + | 1.21495i | 0.534388 | + | 0.845239i | \(0.320542\pi\) |
−0.929148 | + | 0.369708i | \(0.879458\pi\) | |||||||
\(138\) | −1007.44 | + | 3100.57i | −0.00450319 | + | 0.0138594i | ||||
\(139\) | 165065. | − | 119927.i | 0.724633 | − | 0.526477i | −0.163228 | − | 0.986588i | \(-0.552191\pi\) |
0.887861 | + | 0.460111i | \(0.152191\pi\) | |||||||
\(140\) | −631.541 | − | 458.841i | −0.00272321 | − | 0.00197853i | ||||
\(141\) | −27770.6 | − | 85469.3i | −0.117635 | − | 0.362045i | ||||
\(142\) | 116842. | 0.486269 | ||||||||
\(143\) | −306254. | + | 217452.i | −1.25240 | + | 0.889251i | ||||
\(144\) | 20736.0 | 0.0833333 | ||||||||
\(145\) | 9998.47 | + | 30772.1i | 0.0394924 | + | 0.121545i | ||||
\(146\) | −1245.35 | − | 904.800i | −0.00483514 | − | 0.00351294i | ||||
\(147\) | 122356. | − | 88896.8i | 0.467016 | − | 0.339307i | ||||
\(148\) | 56951.8 | − | 175280.i | 0.213724 | − | 0.657774i | ||||
\(149\) | −74110.4 | + | 228088.i | −0.273472 | + | 0.841661i | 0.716147 | + | 0.697949i | \(0.245904\pi\) |
−0.989620 | + | 0.143712i | \(0.954096\pi\) | |||||||
\(150\) | 63656.3 | − | 46249.0i | 0.231001 | − | 0.167832i | ||||
\(151\) | −387792. | − | 281748.i | −1.38407 | − | 1.00558i | −0.996487 | − | 0.0837468i | \(-0.973311\pi\) |
−0.387579 | − | 0.921836i | \(-0.626689\pi\) | |||||||
\(152\) | 42296.3 | + | 130175.i | 0.148489 | + | 0.457001i | ||||
\(153\) | 31946.7 | 0.110331 | ||||||||
\(154\) | 816.060 | − | 2421.55i | 0.00277281 | − | 0.00822796i | ||||
\(155\) | 127991. | 0.427908 | ||||||||
\(156\) | −41647.7 | − | 128179.i | −0.137019 | − | 0.421700i | ||||
\(157\) | 111107. | + | 80724.3i | 0.359744 | + | 0.261370i | 0.752945 | − | 0.658083i | \(-0.228632\pi\) |
−0.393201 | + | 0.919453i | \(0.628632\pi\) | |||||||
\(158\) | 83191.4 | − | 60442.1i | 0.265116 | − | 0.192618i | ||||
\(159\) | −70678.3 | + | 217526.i | −0.221714 | + | 0.682366i | ||||
\(160\) | −9698.29 | + | 29848.3i | −0.0299499 | + | 0.0921763i | ||||
\(161\) | −116.628 | + | 84.7350i | −0.000354599 | + | 0.000257631i | ||||
\(162\) | −21231.8 | − | 15425.8i | −0.0635624 | − | 0.0461808i | ||||
\(163\) | −61790.6 | − | 190172.i | −0.182160 | − | 0.560631i | 0.817728 | − | 0.575605i | \(-0.195233\pi\) |
−0.999888 | + | 0.0149741i | \(0.995233\pi\) | |||||||
\(164\) | −21279.9 | −0.0617818 | ||||||||
\(165\) | −88842.4 | − | 66037.3i | −0.254045 | − | 0.188834i | ||||
\(166\) | 406517. | 1.14501 | ||||||||
\(167\) | −19433.2 | − | 59809.3i | −0.0539205 | − | 0.165950i | 0.920470 | − | 0.390814i | \(-0.127806\pi\) |
−0.974390 | + | 0.224864i | \(0.927806\pi\) | |||||||
\(168\) | 741.807 | + | 538.954i | 0.00202777 | + | 0.00147326i | ||||
\(169\) | −408299. | + | 296647.i | −1.09967 | + | 0.798955i | ||||
\(170\) | −14941.6 | + | 45985.4i | −0.0396528 | + | 0.122039i | ||||
\(171\) | 53531.2 | − | 164752.i | 0.139996 | − | 0.430864i | ||||
\(172\) | 229464. | − | 166716.i | 0.591418 | − | 0.429690i | ||||
\(173\) | −485344. | − | 352623.i | −1.23292 | − | 0.895767i | −0.235812 | − | 0.971799i | \(-0.575775\pi\) |
−0.997105 | + | 0.0760314i | \(0.975775\pi\) | |||||||
\(174\) | −11744.2 | − | 36144.9i | −0.0294070 | − | 0.0905053i | ||||
\(175\) | 3479.30 | 0.00858810 | ||||||||
\(176\) | −102730. | − | 1118.41i | −0.249985 | − | 0.00272156i | ||||
\(177\) | −77229.0 | −0.185288 | ||||||||
\(178\) | −68973.1 | − | 212277.i | −0.163166 | − | 0.502173i | ||||
\(179\) | 86352.3 | + | 62738.6i | 0.201438 | + | 0.146353i | 0.683931 | − | 0.729546i | \(-0.260269\pi\) |
−0.482493 | + | 0.875900i | \(0.660269\pi\) | |||||||
\(180\) | 32134.8 | − | 23347.3i | 0.0739255 | − | 0.0537100i | ||||
\(181\) | −56138.5 | + | 172777.i | −0.127369 | + | 0.392002i | −0.994325 | − | 0.106382i | \(-0.966073\pi\) |
0.866956 | + | 0.498385i | \(0.166073\pi\) | |||||||
\(182\) | 1841.62 | − | 5667.92i | 0.00412118 | − | 0.0126837i | ||||
\(183\) | 286494. | − | 208150.i | 0.632394 | − | 0.459461i | ||||
\(184\) | 4688.90 | + | 3406.69i | 0.0102100 | + | 0.00741801i | ||||
\(185\) | −109094. | − | 335756.i | −0.234353 | − | 0.721265i | ||||
\(186\) | −150338. | −0.318630 | ||||||||
\(187\) | −158269. | − | 1723.06i | −0.330973 | − | 0.00360327i | ||||
\(188\) | −159765. | −0.329675 | ||||||||
\(189\) | −358.609 | − | 1103.68i | −0.000730241 | − | 0.00224745i | ||||
\(190\) | 212114. | + | 154110.i | 0.426271 | + | 0.309704i | ||||
\(191\) | 299996. | − | 217960.i | 0.595021 | − | 0.432308i | −0.249087 | − | 0.968481i | \(-0.580131\pi\) |
0.844108 | + | 0.536173i | \(0.180131\pi\) | |||||||
\(192\) | 11391.6 | − | 35059.7i | 0.0223014 | − | 0.0686366i | ||||
\(193\) | 62200.3 | − | 191433.i | 0.120199 | − | 0.369933i | −0.872797 | − | 0.488083i | \(-0.837696\pi\) |
0.992996 | + | 0.118150i | \(0.0376963\pi\) | |||||||
\(194\) | 541528. | − | 393443.i | 1.03304 | − | 0.750546i | ||||
\(195\) | −208862. | − | 151747.i | −0.393344 | − | 0.285782i | ||||
\(196\) | −83085.8 | − | 255712.i | −0.154485 | − | 0.475457i | ||||
\(197\) | 329001. | 0.603992 | 0.301996 | − | 0.953309i | \(-0.402347\pi\) | ||||
0.301996 | + | 0.953309i | \(0.402347\pi\) | |||||||
\(198\) | 104354. | + | 77567.4i | 0.189168 | + | 0.140610i | ||||
\(199\) | 729463. | 1.30578 | 0.652891 | − | 0.757452i | \(-0.273556\pi\) | ||||
0.652891 | + | 0.757452i | \(0.273556\pi\) | |||||||
\(200\) | −43225.9 | − | 133036.i | −0.0764133 | − | 0.235176i | ||||
\(201\) | −48500.4 | − | 35237.6i | −0.0846750 | − | 0.0615200i | ||||
\(202\) | 119755. | − | 87007.0i | 0.206497 | − | 0.150029i | ||||
\(203\) | 519.316 | − | 1598.29i | 0.000884487 | − | 0.00272217i | ||||
\(204\) | 17550.4 | − | 54014.4i | 0.0295264 | − | 0.0908729i | ||||
\(205\) | −32977.7 | + | 23959.7i | −0.0548070 | + | 0.0398196i | ||||
\(206\) | −255877. | − | 185905.i | −0.420109 | − | 0.305227i | ||||
\(207\) | −2266.73 | − | 6976.29i | −0.00367684 | − | 0.0113162i | ||||
\(208\) | −239600. | −0.383997 | ||||||||
\(209\) | −274089. | + | 813323.i | −0.434036 | + | 1.28794i | ||||
\(210\) | 1756.41 | 0.00274839 | ||||||||
\(211\) | −182726. | − | 562372.i | −0.282549 | − | 0.869595i | −0.987123 | − | 0.159965i | \(-0.948862\pi\) |
0.704574 | − | 0.709630i | \(-0.251138\pi\) | |||||||
\(212\) | 328957. | + | 239001.i | 0.502689 | + | 0.365225i | ||||
\(213\) | −212686. | + | 154525.i | −0.321210 | + | 0.233373i | ||||
\(214\) | −219690. | + | 676137.i | −0.327926 | + | 1.00925i | ||||
\(215\) | 167893. | − | 516722.i | 0.247706 | − | 0.762361i | ||||
\(216\) | −37745.5 | + | 27423.7i | −0.0550466 | + | 0.0399937i | ||||
\(217\) | −5378.18 | − | 3907.48i | −0.00775329 | − | 0.00563310i | ||||
\(218\) | 24702.2 | + | 76025.7i | 0.0352043 | + | 0.108348i | ||||
\(219\) | 3463.51 | 0.00487985 | ||||||||
\(220\) | −160460. | + | 113933.i | −0.223517 | + | 0.158706i | ||||
\(221\) | −369137. | −0.508402 | ||||||||
\(222\) | 128141. | + | 394379.i | 0.174505 | + | 0.537071i | ||||
\(223\) | 518643. | + | 376816.i | 0.698404 | + | 0.507420i | 0.879412 | − | 0.476062i | \(-0.157936\pi\) |
−0.181008 | + | 0.983482i | \(0.557936\pi\) | |||||||
\(224\) | 1318.77 | − | 958.141i | 0.00175610 | − | 0.00127588i | ||||
\(225\) | −54707.7 | + | 168373.i | −0.0720431 | + | 0.221726i | ||||
\(226\) | −259098. | + | 797421.i | −0.337437 | + | 1.03852i | ||||
\(227\) | 325100. | − | 236199.i | 0.418748 | − | 0.304238i | −0.358386 | − | 0.933574i | \(-0.616673\pi\) |
0.777134 | + | 0.629335i | \(0.216673\pi\) | |||||||
\(228\) | −249149. | − | 181018.i | −0.317412 | − | 0.230613i | ||||
\(229\) | 104660. | + | 322111.i | 0.131884 | + | 0.405898i | 0.995092 | − | 0.0989502i | \(-0.0315484\pi\) |
−0.863208 | + | 0.504848i | \(0.831548\pi\) | |||||||
\(230\) | 11102.1 | 0.0138384 | ||||||||
\(231\) | 1717.08 | + | 5487.18i | 0.00211719 | + | 0.00676580i | ||||
\(232\) | −67564.5 | −0.0824135 | ||||||||
\(233\) | 359299. | + | 1.10581e6i | 0.433577 | + | 1.33441i | 0.894537 | + | 0.446993i | \(0.147505\pi\) |
−0.460960 | + | 0.887421i | \(0.652495\pi\) | |||||||
\(234\) | 245329. | + | 178242.i | 0.292893 | + | 0.212800i | ||||
\(235\) | −247589. | + | 179884.i | −0.292457 | + | 0.212482i | ||||
\(236\) | −42426.8 | + | 130576.i | −0.0495861 | + | 0.152610i | ||||
\(237\) | −71496.6 | + | 220044.i | −0.0826827 | + | 0.254471i | ||||
\(238\) | 2031.75 | − | 1476.15i | 0.00232502 | − | 0.00168923i | ||||
\(239\) | −868453. | − | 630968.i | −0.983449 | − | 0.714517i | −0.0249720 | − | 0.999688i | \(-0.507950\pi\) |
−0.958477 | + | 0.285171i | \(0.907950\pi\) | |||||||
\(240\) | −21821.1 | − | 67158.6i | −0.0244540 | − | 0.0752616i | ||||
\(241\) | 859568. | 0.953318 | 0.476659 | − | 0.879088i | \(-0.341848\pi\) | ||||
0.476659 | + | 0.879088i | \(0.341848\pi\) | |||||||
\(242\) | −512805. | − | 389910.i | −0.562877 | − | 0.427983i | ||||
\(243\) | 59049.0 | 0.0641500 | ||||||||
\(244\) | −194544. | − | 598744.i | −0.209191 | − | 0.643824i | ||||
\(245\) | −416673. | − | 302731.i | −0.443486 | − | 0.322211i | ||||
\(246\) | 38735.6 | − | 28143.1i | 0.0408106 | − | 0.0296506i | ||||
\(247\) | −618541. | + | 1.90367e6i | −0.645099 | + | 1.98541i | ||||
\(248\) | −82590.4 | + | 254187.i | −0.0852708 | + | 0.262436i | ||||
\(249\) | −739978. | + | 537625.i | −0.756345 | + | 0.549517i | ||||
\(250\) | −526718. | − | 382683.i | −0.533001 | − | 0.387248i | ||||
\(251\) | −262893. | − | 809101.i | −0.263387 | − | 0.810622i | −0.992061 | − | 0.125761i | \(-0.959863\pi\) |
0.728674 | − | 0.684861i | \(-0.240137\pi\) | |||||||
\(252\) | −2063.08 | −0.00204651 | ||||||||
\(253\) | 10853.5 | + | 34684.0i | 0.0106603 | + | 0.0340665i | ||||
\(254\) | 453781. | 0.441328 | ||||||||
\(255\) | −33618.5 | − | 103467.i | −0.0323764 | − | 0.0996442i | ||||
\(256\) | −53019.7 | − | 38521.1i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 1.57308e6 | − | 1.14291e6i | 1.48566 | − | 1.07939i | 0.509982 | − | 0.860185i | \(-0.329652\pi\) |
0.975678 | − | 0.219210i | \(-0.0703480\pi\) | |||||||
\(258\) | −197207. | + | 606941.i | −0.184448 | + | 0.567672i | ||||
\(259\) | −5666.28 | + | 17439.0i | −0.00524866 | + | 0.0161537i | ||||
\(260\) | −371310. | + | 269773.i | −0.340646 | + | 0.247494i | ||||
\(261\) | 69180.1 | + | 50262.3i | 0.0628608 | + | 0.0456710i | ||||
\(262\) | 38120.9 | + | 117324.i | 0.0343091 | + | 0.105593i | ||||
\(263\) | 2.00871e6 | 1.79072 | 0.895360 | − | 0.445342i | \(-0.146918\pi\) | ||||
0.895360 | + | 0.445342i | \(0.146918\pi\) | |||||||
\(264\) | 188477. | − | 133826.i | 0.166436 | − | 0.118176i | ||||
\(265\) | 778887. | 0.681333 | ||||||||
\(266\) | −4208.17 | − | 12951.4i | −0.00364661 | − | 0.0112231i | ||||
\(267\) | 406291. | + | 295188.i | 0.348786 | + | 0.253408i | ||||
\(268\) | −86222.9 | + | 62644.6i | −0.0733307 | + | 0.0532778i | ||||
\(269\) | −549282. | + | 1.69052e6i | −0.462822 | + | 1.42442i | 0.398878 | + | 0.917004i | \(0.369400\pi\) |
−0.861701 | + | 0.507417i | \(0.830600\pi\) | |||||||
\(270\) | −27617.4 | + | 84997.6i | −0.0230554 | + | 0.0709573i | ||||
\(271\) | −149494. | + | 108614.i | −0.123652 | + | 0.0898383i | −0.647892 | − | 0.761732i | \(-0.724349\pi\) |
0.524240 | + | 0.851570i | \(0.324349\pi\) | |||||||
\(272\) | −81684.3 | − | 59347.1i | −0.0669447 | − | 0.0486382i | ||||
\(273\) | 4143.64 | + | 12752.8i | 0.00336493 | + | 0.0103562i | ||||
\(274\) | −1.12257e6 | −0.903309 | ||||||||
\(275\) | 280113. | − | 831198.i | 0.223358 | − | 0.662786i | ||||
\(276\) | −13040.5 | −0.0103044 | ||||||||
\(277\) | −444058. | − | 1.36667e6i | −0.347729 | − | 1.07020i | −0.960107 | − | 0.279634i | \(-0.909787\pi\) |
0.612378 | − | 0.790565i | \(-0.290213\pi\) | |||||||
\(278\) | 660261. | + | 479707.i | 0.512393 | + | 0.372275i | ||||
\(279\) | 273659. | − | 198825.i | 0.210474 | − | 0.152919i | ||||
\(280\) | 964.908 | − | 2969.68i | 0.000735514 | − | 0.00226368i | ||||
\(281\) | −61549.6 | + | 189430.i | −0.0465007 | + | 0.143114i | −0.971611 | − | 0.236584i | \(-0.923972\pi\) |
0.925110 | + | 0.379698i | \(0.123972\pi\) | |||||||
\(282\) | 290818. | − | 211292.i | 0.217770 | − | 0.158219i | ||||
\(283\) | −1.12417e6 | − | 816760.i | −0.834386 | − | 0.606217i | 0.0864107 | − | 0.996260i | \(-0.472460\pi\) |
−0.920797 | + | 0.390043i | \(0.872460\pi\) | |||||||
\(284\) | 144424. | + | 444492.i | 0.106254 | + | 0.327016i | ||||
\(285\) | −589922. | −0.430212 | ||||||||
\(286\) | −1.20579e6 | − | 896274.i | −0.871679 | − | 0.647926i | ||||
\(287\) | 2117.20 | 0.00151725 | ||||||||
\(288\) | 25631.1 | + | 78884.4i | 0.0182090 | + | 0.0560415i | ||||
\(289\) | 1.02284e6 | + | 743138.i | 0.720384 | + | 0.523390i | ||||
\(290\) | −104705. | + | 76072.9i | −0.0731095 | + | 0.0531172i | ||||
\(291\) | −465402. | + | 1.43236e6i | −0.322178 | + | 0.991561i | ||||
\(292\) | 1902.73 | − | 5855.99i | 0.00130593 | − | 0.00401923i | ||||
\(293\) | 1.83865e6 | − | 1.33586e6i | 1.25121 | − | 0.909057i | 0.252918 | − | 0.967488i | \(-0.418610\pi\) |
0.998291 | + | 0.0584304i | \(0.0186096\pi\) | |||||||
\(294\) | 489424. | + | 355587.i | 0.330230 | + | 0.239926i | ||||
\(295\) | 81270.5 | + | 250125.i | 0.0543723 | + | 0.167341i | ||||
\(296\) | 737199. | 0.489053 | ||||||||
\(297\) | −292539. | − | 3184.84i | −0.192439 | − | 0.00209506i | ||||
\(298\) | −959305. | −0.625772 | ||||||||
\(299\) | 26191.6 | + | 80609.5i | 0.0169428 | + | 0.0521445i | ||||
\(300\) | 254625. | + | 184996.i | 0.163342 | + | 0.118675i | ||||
\(301\) | −22830.0 | + | 16587.0i | −0.0145241 | + | 0.0105524i | ||||
\(302\) | 592494. | − | 1.82351e6i | 0.373824 | − | 1.15051i | ||||
\(303\) | −102920. | + | 316756.i | −0.0644012 | + | 0.198206i | ||||
\(304\) | −442932. | + | 321809.i | −0.274886 | + | 0.199717i | ||||
\(305\) | −975631. | − | 708837.i | −0.600532 | − | 0.436312i | ||||
\(306\) | 39488.3 | + | 121532.i | 0.0241082 | + | 0.0741974i | ||||
\(307\) | 2.98610e6 | 1.80825 | 0.904125 | − | 0.427268i | \(-0.140524\pi\) | ||||
0.904125 | + | 0.427268i | \(0.140524\pi\) | |||||||
\(308\) | 10220.8 | + | 111.273i | 0.00613917 | + | 6.68366e-5i | ||||
\(309\) | 711632. | 0.423993 | ||||||||
\(310\) | 158206. | + | 486907.i | 0.0935014 | + | 0.287768i | ||||
\(311\) | −706342. | − | 513187.i | −0.414108 | − | 0.300867i | 0.361155 | − | 0.932506i | \(-0.382383\pi\) |
−0.775263 | + | 0.631639i | \(0.782383\pi\) | |||||||
\(312\) | 436141. | − | 316875.i | 0.253653 | − | 0.184290i | ||||
\(313\) | 153869. | − | 473561.i | 0.0887750 | − | 0.273221i | −0.896806 | − | 0.442423i | \(-0.854119\pi\) |
0.985581 | + | 0.169202i | \(0.0541189\pi\) | |||||||
\(314\) | −169757. | + | 522459.i | −0.0971636 | + | 0.299039i | ||||
\(315\) | −3197.17 | + | 2322.88i | −0.00181547 | + | 0.00131902i | ||||
\(316\) | 332765. | + | 241768.i | 0.187465 | + | 0.136201i | ||||
\(317\) | −847270. | − | 2.60763e6i | −0.473559 | − | 1.45746i | −0.847892 | − | 0.530169i | \(-0.822128\pi\) |
0.374333 | − | 0.927294i | \(-0.377872\pi\) | |||||||
\(318\) | −914880. | −0.507337 | ||||||||
\(319\) | −340019. | − | 252739.i | −0.187080 | − | 0.139058i | ||||
\(320\) | −125537. | −0.0685327 | ||||||||
\(321\) | −494303. | − | 1.52131e6i | −0.267751 | − | 0.824052i | ||||
\(322\) | −466.511 | − | 338.940i | −0.000250739 | − | 0.000182173i | ||||
\(323\) | −682399. | + | 495792.i | −0.363942 | + | 0.264419i | ||||
\(324\) | 32439.4 | − | 99838.1i | 0.0171676 | − | 0.0528365i | ||||
\(325\) | 632136. | − | 1.94551e6i | 0.331972 | − | 1.02171i | ||||
\(326\) | 647079. | − | 470130.i | 0.337220 | − | 0.245005i | ||||
\(327\) | −145510. | − | 105720.i | −0.0752532 | − | 0.0546746i | ||||
\(328\) | −26303.4 | − | 80953.7i | −0.0134998 | − | 0.0415482i | ||||
\(329\) | 15895.4 | 0.00809622 | ||||||||
\(330\) | 141406. | − | 419603.i | 0.0714796 | − | 0.212106i | ||||
\(331\) | −3.59901e6 | −1.80557 | −0.902783 | − | 0.430097i | \(-0.858479\pi\) | ||||
−0.902783 | + | 0.430097i | \(0.858479\pi\) | |||||||
\(332\) | 502482. | + | 1.54648e6i | 0.250193 | + | 0.770016i | ||||
\(333\) | −754827. | − | 548414.i | −0.373024 | − | 0.271018i | ||||
\(334\) | 203507. | − | 147857.i | 0.0998192 | − | 0.0725229i | ||||
\(335\) | −63087.0 | + | 194162.i | −0.0307134 | + | 0.0945262i | ||||
\(336\) | −1133.38 | + | 3488.19i | −0.000547681 | + | 0.00168559i | ||||
\(337\) | 1.12157e6 | − | 814866.i | 0.537961 | − | 0.390851i | −0.285366 | − | 0.958418i | \(-0.592115\pi\) |
0.823327 | + | 0.567567i | \(0.192115\pi\) | |||||||
\(338\) | −1.63320e6 | − | 1.18659e6i | −0.777583 | − | 0.564947i | ||||
\(339\) | −582970. | − | 1.79420e6i | −0.275516 | − | 0.847951i | ||||
\(340\) | −193408. | −0.0907353 | ||||||||
\(341\) | −1.36648e6 | + | 970253.i | −0.636380 | + | 0.451855i | ||||
\(342\) | 692922. | 0.320346 | ||||||||
\(343\) | 16534.1 | + | 50886.7i | 0.00758832 | + | 0.0233544i | ||||
\(344\) | 917858. | + | 666863.i | 0.418195 | + | 0.303837i | ||||
\(345\) | −20209.1 | + | 14682.7i | −0.00914110 | + | 0.00664140i | ||||
\(346\) | 741539. | − | 2.28222e6i | 0.333000 | − | 1.02487i | ||||
\(347\) | −406747. | + | 1.25184e6i | −0.181343 | + | 0.558116i | −0.999866 | − | 0.0163575i | \(-0.994793\pi\) |
0.818523 | + | 0.574473i | \(0.194793\pi\) | |||||||
\(348\) | 122987. | − | 89355.1i | 0.0544390 | − | 0.0395523i | ||||
\(349\) | 1.62828e6 | + | 1.18301e6i | 0.715592 | + | 0.519908i | 0.884973 | − | 0.465643i | \(-0.154177\pi\) |
−0.169381 | + | 0.985551i | \(0.554177\pi\) | |||||||
\(350\) | 4300.66 | + | 13236.1i | 0.00187657 | + | 0.00577549i | ||||
\(351\) | −682298. | −0.295601 | ||||||||
\(352\) | −122726. | − | 392189.i | −0.0527935 | − | 0.168709i | ||||
\(353\) | −1.49229e6 | −0.637407 | −0.318703 | − | 0.947854i | \(-0.603247\pi\) | ||||
−0.318703 | + | 0.947854i | \(0.603247\pi\) | |||||||
\(354\) | −95460.3 | − | 293797.i | −0.0404869 | − | 0.124606i | ||||
\(355\) | 724283. | + | 526222.i | 0.305026 | + | 0.221615i | ||||
\(356\) | 722296. | − | 524778.i | 0.302058 | − | 0.219458i | ||||
\(357\) | −1746.13 | + | 5374.04i | −0.000725114 | + | 0.00223167i | ||||
\(358\) | −131935. | + | 406053.i | −0.0544065 | + | 0.167446i | ||||
\(359\) | −3.42308e6 | + | 2.48702e6i | −1.40178 | + | 1.01846i | −0.407331 | + | 0.913281i | \(0.633540\pi\) |
−0.994454 | + | 0.105176i | \(0.966460\pi\) | |||||||
\(360\) | 128539. | + | 93389.2i | 0.0522732 | + | 0.0379787i | ||||
\(361\) | 648232. | + | 1.99505e6i | 0.261796 | + | 0.805724i | ||||
\(362\) | −726672. | −0.291452 | ||||||||
\(363\) | 1.44912e6 | + | 31556.5i | 0.577213 | + | 0.0125696i | ||||
\(364\) | 23838.4 | 0.00943027 | ||||||||
\(365\) | −3644.76 | − | 11217.4i | −0.00143198 | − | 0.00440718i | ||||
\(366\) | 1.14598e6 | + | 832600.i | 0.447170 | + | 0.324888i | ||||
\(367\) | −2.75186e6 | + | 1.99934e6i | −1.06650 | + | 0.774858i | −0.975280 | − | 0.220972i | \(-0.929077\pi\) |
−0.0912208 | + | 0.995831i | \(0.529077\pi\) | |||||||
\(368\) | −7164.00 | + | 22048.5i | −0.00275763 | + | 0.00848711i | ||||
\(369\) | −33290.3 | + | 102457.i | −0.0127278 | + | 0.0391720i | ||||
\(370\) | 1.14245e6 | − | 830035.i | 0.433841 | − | 0.315204i | ||||
\(371\) | −32728.8 | − | 23778.9i | −0.0123451 | − | 0.00896925i | ||||
\(372\) | −185828. | − | 571921.i | −0.0696233 | − | 0.214278i | ||||
\(373\) | 3.01172e6 | 1.12084 | 0.560418 | − | 0.828210i | \(-0.310640\pi\) | ||||
0.560418 | + | 0.828210i | \(0.310640\pi\) | |||||||
\(374\) | −189077. | − | 604222.i | −0.0698971 | − | 0.223366i | ||||
\(375\) | 1.46488e6 | 0.537929 | ||||||||
\(376\) | −197480. | − | 607781.i | −0.0720367 | − | 0.221706i | ||||
\(377\) | −799361. | − | 580769.i | −0.289661 | − | 0.210451i | ||||
\(378\) | 3755.40 | − | 2728.46i | 0.00135184 | − | 0.000982172i | ||||
\(379\) | −550858. | + | 1.69537e6i | −0.196989 | + | 0.606270i | 0.802959 | + | 0.596035i | \(0.203258\pi\) |
−0.999948 | + | 0.0102349i | \(0.996742\pi\) | |||||||
\(380\) | −324082. | + | 997422.i | −0.115132 | + | 0.354340i | ||||
\(381\) | −826012. | + | 600133.i | −0.291524 | + | 0.211804i | ||||
\(382\) | 1.19998e6 | + | 871840.i | 0.420743 | + | 0.305688i | ||||
\(383\) | 1.68093e6 | + | 5.17336e6i | 0.585533 | + | 1.80209i | 0.597118 | + | 0.802154i | \(0.296313\pi\) |
−0.0115841 | + | 0.999933i | \(0.503687\pi\) | |||||||
\(384\) | 147456. | 0.0510310 | ||||||||
\(385\) | 15964.6 | − | 11335.5i | 0.00548918 | − | 0.00389753i | ||||
\(386\) | 805138. | 0.275044 | ||||||||
\(387\) | −443716. | − | 1.36562e6i | −0.150601 | − | 0.463502i | ||||
\(388\) | 2.16611e6 | + | 1.57377e6i | 0.730469 | + | 0.530716i | ||||
\(389\) | −2.90304e6 | + | 2.10918e6i | −0.972699 | + | 0.706707i | −0.956065 | − | 0.293154i | \(-0.905295\pi\) |
−0.0166339 | + | 0.999862i | \(0.505295\pi\) | |||||||
\(390\) | 319113. | − | 982128.i | 0.106239 | − | 0.326969i | ||||
\(391\) | −11037.1 | + | 33968.8i | −0.00365102 | + | 0.0112367i | ||||
\(392\) | 870086. | − | 632155.i | 0.285988 | − | 0.207782i | ||||
\(393\) | −224554. | − | 163148.i | −0.0733398 | − | 0.0532845i | ||||
\(394\) | 406667. | + | 1.25159e6i | 0.131977 | + | 0.406184i | ||||
\(395\) | 787904. | 0.254086 | ||||||||
\(396\) | −166095. | + | 492865.i | −0.0532254 | + | 0.157939i | ||||
\(397\) | 5.21167e6 | 1.65959 | 0.829795 | − | 0.558069i | \(-0.188457\pi\) | ||||
0.829795 | + | 0.558069i | \(0.188457\pi\) | |||||||
\(398\) | 901666. | + | 2.77504e6i | 0.285324 | + | 0.878137i | ||||
\(399\) | 24788.5 | + | 18009.9i | 0.00779504 | + | 0.00566343i | ||||
\(400\) | 452667. | − | 328882.i | 0.141459 | − | 0.102776i | ||||
\(401\) | −198319. | + | 610364.i | −0.0615891 | + | 0.189552i | −0.977117 | − | 0.212703i | \(-0.931773\pi\) |
0.915528 | + | 0.402255i | \(0.131773\pi\) | |||||||
\(402\) | 74102.0 | − | 228062.i | 0.0228699 | − | 0.0703864i | ||||
\(403\) | −3.16207e6 | + | 2.29738e6i | −0.969859 | + | 0.704644i | ||||
\(404\) | 479019. | + | 348028.i | 0.146016 | + | 0.106087i | ||||
\(405\) | −62139.1 | − | 191245.i | −0.0188247 | − | 0.0579364i | ||||
\(406\) | 6722.17 | 0.00202392 | ||||||||
\(407\) | 3.70996e6 | + | 2.75765e6i | 1.11016 | + | 0.825188i | ||||
\(408\) | 227177. | 0.0675636 | ||||||||
\(409\) | −1.57118e6 | − | 4.83560e6i | −0.464428 | − | 1.42936i | −0.859701 | − | 0.510798i | \(-0.829350\pi\) |
0.395273 | − | 0.918564i | \(-0.370650\pi\) | |||||||
\(410\) | −131911. | − | 95838.9i | −0.0387544 | − | 0.0281567i | ||||
\(411\) | 2.04340e6 | − | 1.48461e6i | 0.596689 | − | 0.433520i | ||||
\(412\) | 390945. | − | 1.20320e6i | 0.113468 | − | 0.349218i | ||||
\(413\) | 4221.15 | − | 12991.4i | 0.00121774 | − | 0.00374783i | ||||
\(414\) | 23737.6 | − | 17246.3i | 0.00680668 | − | 0.00494534i | ||||
\(415\) | 2.51993e6 | + | 1.83084e6i | 0.718238 | + | 0.521831i | ||||
\(416\) | −296162. | − | 911492.i | −0.0839065 | − | 0.258238i | ||||
\(417\) | −1.83629e6 | −0.517130 | ||||||||
\(418\) | −3.43286e6 | − | 37373.1i | −0.960981 | − | 0.0104621i | ||||
\(419\) | −2.44419e6 | −0.680143 | −0.340072 | − | 0.940400i | \(-0.610451\pi\) | ||||
−0.340072 | + | 0.940400i | \(0.610451\pi\) | |||||||
\(420\) | 2171.04 | + | 6681.78i | 0.000600545 | + | 0.00184829i | ||||
\(421\) | −4.33962e6 | − | 3.15292e6i | −1.19329 | − | 0.866977i | −0.199683 | − | 0.979861i | \(-0.563991\pi\) |
−0.993608 | + | 0.112884i | \(0.963991\pi\) | |||||||
\(422\) | 1.91353e6 | − | 1.39026e6i | 0.523062 | − | 0.380027i | ||||
\(423\) | −249936. | + | 769223.i | −0.0679169 | + | 0.209027i | ||||
\(424\) | −502601. | + | 1.54685e6i | −0.135772 | + | 0.417862i | ||||
\(425\) | 697397. | − | 506689.i | 0.187287 | − | 0.136072i | ||||
\(426\) | −850742. | − | 618100.i | −0.227130 | − | 0.165019i | ||||
\(427\) | 19355.7 | + | 59570.6i | 0.00513734 | + | 0.0158111i | ||||
\(428\) | −2.84373e6 | −0.750376 | ||||||||
\(429\) | 3.38022e6 | + | 36800.1i | 0.886751 | + | 0.00965397i | ||||
\(430\) | 2.17325e6 | 0.566812 | ||||||||
\(431\) | 1.69723e6 | + | 5.22353e6i | 0.440095 | + | 1.35447i | 0.887774 | + | 0.460280i | \(0.152251\pi\) |
−0.447679 | + | 0.894194i | \(0.647749\pi\) | |||||||
\(432\) | −150982. | − | 109695.i | −0.0389238 | − | 0.0282798i | ||||
\(433\) | 85891.1 | − | 62403.5i | 0.0220155 | − | 0.0159952i | −0.576723 | − | 0.816940i | \(-0.695669\pi\) |
0.598739 | + | 0.800945i | \(0.295669\pi\) | |||||||
\(434\) | 8217.13 | − | 25289.7i | 0.00209409 | − | 0.00644496i | ||||
\(435\) | 89986.2 | − | 276949.i | 0.0228009 | − | 0.0701741i | ||||
\(436\) | −258685. | + | 187946.i | −0.0651712 | + | 0.0473496i | ||||
\(437\) | 156686. | + | 113839.i | 0.0392489 | + | 0.0285160i | ||||
\(438\) | 4281.13 | + | 13176.0i | 0.00106629 | + | 0.00328169i | ||||
\(439\) | −4.59366e6 | −1.13762 | −0.568811 | − | 0.822469i | \(-0.692596\pi\) | ||||
−0.568811 | + | 0.822469i | \(0.692596\pi\) | |||||||
\(440\) | −631768. | − | 469599.i | −0.155570 | − | 0.115637i | ||||
\(441\) | −1.36116e6 | −0.333283 | ||||||||
\(442\) | −456279. | − | 1.40428e6i | −0.111090 | − | 0.341899i | ||||
\(443\) | −4.03165e6 | − | 2.92917e6i | −0.976053 | − | 0.709144i | −0.0192303 | − | 0.999815i | \(-0.506122\pi\) |
−0.956823 | + | 0.290671i | \(0.906122\pi\) | |||||||
\(444\) | −1.34192e6 | + | 974958.i | −0.323048 | + | 0.234708i | ||||
\(445\) | 528485. | − | 1.62651e6i | 0.126512 | − | 0.389365i | ||||
\(446\) | −792416. | + | 2.43881e6i | −0.188632 | + | 0.580551i | ||||
\(447\) | 1.74621e6 | − | 1.26870e6i | 0.413360 | − | 0.300323i | ||||
\(448\) | 5275.07 | + | 3832.56i | 0.00124175 | + | 0.000902183i | ||||
\(449\) | −1.94826e6 | − | 5.99612e6i | −0.456069 | − | 1.40364i | −0.869875 | − | 0.493271i | \(-0.835801\pi\) |
0.413806 | − | 0.910365i | \(-0.364199\pi\) | |||||||
\(450\) | −708152. | −0.164852 | ||||||||
\(451\) | 170452. | − | 505794.i | 0.0394603 | − | 0.117093i | ||||
\(452\) | −3.35383e6 | −0.772139 | ||||||||
\(453\) | 1.33311e6 | + | 4.10290e6i | 0.305226 | + | 0.939388i | ||||
\(454\) | 1.30040e6 | + | 944797.i | 0.296099 | + | 0.215129i | ||||
\(455\) | 36942.6 | − | 26840.4i | 0.00836565 | − | 0.00607800i | ||||
\(456\) | 380666. | − | 1.17157e6i | 0.0857299 | − | 0.263850i | ||||
\(457\) | 2.48617e6 | − | 7.65166e6i | 0.556854 | − | 1.71382i | −0.134144 | − | 0.990962i | \(-0.542828\pi\) |
0.690997 | − | 0.722857i | \(-0.257172\pi\) | |||||||
\(458\) | −1.09602e6 | + | 796302.i | −0.244148 | + | 0.177384i | ||||
\(459\) | −232609. | − | 169000.i | −0.0515341 | − | 0.0374417i | ||||
\(460\) | 13723.0 | + | 42235.0i | 0.00302381 | + | 0.00930632i | ||||
\(461\) | 1.76141e6 | 0.386018 | 0.193009 | − | 0.981197i | \(-0.438175\pi\) | ||||
0.193009 | + | 0.981197i | \(0.438175\pi\) | |||||||
\(462\) | −18752.0 | + | 13314.7i | −0.00408737 | + | 0.00290219i | ||||
\(463\) | −2.64405e6 | −0.573214 | −0.286607 | − | 0.958048i | \(-0.592527\pi\) | ||||
−0.286607 | + | 0.958048i | \(0.592527\pi\) | |||||||
\(464\) | −83514.3 | − | 257031.i | −0.0180080 | − | 0.0554230i | ||||
\(465\) | −931923. | − | 677082.i | −0.199870 | − | 0.145214i | ||||
\(466\) | −3.76263e6 | + | 2.73371e6i | −0.802651 | + | 0.583160i | ||||
\(467\) | 2.51159e6 | − | 7.72987e6i | 0.532912 | − | 1.64014i | −0.215205 | − | 0.976569i | \(-0.569042\pi\) |
0.748117 | − | 0.663567i | \(-0.230958\pi\) | |||||||
\(468\) | −374830. | + | 1.15361e6i | −0.0791078 | + | 0.243469i | ||||
\(469\) | 8578.54 | − | 6232.67i | 0.00180087 | − | 0.00130841i | ||||
\(470\) | −990356. | − | 719536.i | −0.206798 | − | 0.150248i | ||||
\(471\) | −381953. | − | 1.17553e6i | −0.0793338 | − | 0.244164i | ||||
\(472\) | −549184. | −0.113465 | ||||||||
\(473\) | 2.12459e6 | + | 6.78943e6i | 0.436639 | + | 1.39534i | ||||
\(474\) | −925472. | −0.189198 | ||||||||
\(475\) | −1.44445e6 | − | 4.44557e6i | −0.293744 | − | 0.904052i | ||||
\(476\) | 8126.99 | + | 5904.60i | 0.00164404 | + | 0.00119446i | ||||
\(477\) | 1.66534e6 | − | 1.20994e6i | 0.335126 | − | 0.243483i | ||||
\(478\) | 1.32688e6 | − | 4.08371e6i | 0.265620 | − | 0.817496i | ||||
\(479\) | 1.73466e6 | − | 5.33873e6i | 0.345442 | − | 1.06316i | −0.615905 | − | 0.787821i | \(-0.711209\pi\) |
0.961347 | − | 0.275340i | \(-0.0887905\pi\) | |||||||
\(480\) | 228514. | − | 166025.i | 0.0452699 | − | 0.0328905i | ||||
\(481\) | 8.72186e6 | + | 6.33680e6i | 1.71888 | + | 1.24884i | ||||
\(482\) | 1.06248e6 | + | 3.26999e6i | 0.208308 | + | 0.641105i | ||||
\(483\) | 1297.44 | 0.000253057 | ||||||||
\(484\) | 849446. | − | 2.43278e6i | 0.164825 | − | 0.472052i | ||||
\(485\) | 5.12880e6 | 0.990060 | ||||||||
\(486\) | 72988.6 | + | 224636.i | 0.0140173 | + | 0.0431408i | ||||
\(487\) | −3.89340e6 | − | 2.82872e6i | −0.743886 | − | 0.540465i | 0.150040 | − | 0.988680i | \(-0.452060\pi\) |
−0.893926 | + | 0.448215i | \(0.852060\pi\) | |||||||
\(488\) | 2.03729e6 | − | 1.48018e6i | 0.387261 | − | 0.281361i | ||||
\(489\) | −556115. | + | 1.71155e6i | −0.105170 | + | 0.323680i | ||||
\(490\) | 636619. | − | 1.95931e6i | 0.119781 | − | 0.368649i | ||||
\(491\) | 3.15250e6 | − | 2.29042e6i | 0.590134 | − | 0.428758i | −0.252229 | − | 0.967668i | \(-0.581164\pi\) |
0.842363 | + | 0.538910i | \(0.181164\pi\) | |||||||
\(492\) | 154942. | + | 112572.i | 0.0288574 | + | 0.0209661i | ||||
\(493\) | −128665. | − | 395991.i | −0.0238421 | − | 0.0733784i | ||||
\(494\) | −8.00657e6 | −1.47614 | ||||||||
\(495\) | 297533. | + | 950810.i | 0.0545786 | + | 0.174414i | ||||
\(496\) | −1.06907e6 | −0.195120 | ||||||||
\(497\) | −14369.2 | − | 44223.7i | −0.00260940 | − | 0.00803090i | ||||
\(498\) | −2.95991e6 | − | 2.15050e6i | −0.534817 | − | 0.388567i | ||||
\(499\) | −6.68808e6 | + | 4.85918e6i | −1.20240 | + | 0.873598i | −0.994519 | − | 0.104556i | \(-0.966658\pi\) |
−0.207885 | + | 0.978153i | \(0.566658\pi\) | |||||||
\(500\) | 804754. | − | 2.47678e6i | 0.143959 | − | 0.443060i | ||||
\(501\) | −174899. | + | 538284.i | −0.0311310 | + | 0.0958114i | ||||
\(502\) | 2.75305e6 | − | 2.00021e6i | 0.487590 | − | 0.354255i | ||||
\(503\) | 4.38776e6 | + | 3.18790e6i | 0.773256 | + | 0.561803i | 0.902947 | − | 0.429751i | \(-0.141399\pi\) |
−0.129691 | + | 0.991554i | \(0.541399\pi\) | |||||||
\(504\) | −2550.11 | − | 7848.42i | −0.000447179 | − | 0.00137628i | ||||
\(505\) | 1.13420e6 | 0.197906 | ||||||||
\(506\) | −118530. | + | 84161.0i | −0.0205803 | + | 0.0146128i | ||||
\(507\) | 4.54217e6 | 0.784772 | ||||||||
\(508\) | 560904. | + | 1.72628e6i | 0.0964338 | + | 0.296793i | ||||
\(509\) | −3.34715e6 | − | 2.43185e6i | −0.572639 | − | 0.416047i | 0.263424 | − | 0.964680i | \(-0.415148\pi\) |
−0.836063 | + | 0.548634i | \(0.815148\pi\) | |||||||
\(510\) | 352058. | − | 255785.i | 0.0599361 | − | 0.0435461i | ||||
\(511\) | −189.307 | + | 582.628i | −3.20712e−5 | + | 9.87049e-5i | ||||
\(512\) | 81007.0 | − | 249314.i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | −1.26132e6 | + | 916402.i | −0.211608 | + | 0.153742i | ||||
\(514\) | 6.29234e6 | + | 4.57165e6i | 1.05052 | + | 0.763248i | ||||
\(515\) | −748873. | − | 2.30479e6i | −0.124420 | − | 0.382925i | ||||
\(516\) | −2.55270e6 | −0.422062 | ||||||||
\(517\) | 1.27971e6 | − | 3.79738e6i | 0.210565 | − | 0.624825i | ||||
\(518\) | −73345.9 | −0.0120102 | ||||||||
\(519\) | 1.66846e6 | + | 5.13500e6i | 0.271893 | + | 0.836801i | ||||
\(520\) | −1.48524e6 | − | 1.07909e6i | −0.240873 | − | 0.175005i | ||||
\(521\) | 4.82766e6 | − | 3.50750e6i | 0.779188 | − | 0.566113i | −0.125547 | − | 0.992088i | \(-0.540069\pi\) |
0.904735 | + | 0.425974i | \(0.140069\pi\) | |||||||
\(522\) | −105698. | + | 325304.i | −0.0169781 | + | 0.0522533i | ||||
\(523\) | 1.77441e6 | − | 5.46108e6i | 0.283661 | − | 0.873020i | −0.703135 | − | 0.711056i | \(-0.748217\pi\) |
0.986797 | − | 0.161964i | \(-0.0517828\pi\) | |||||||
\(524\) | −399207. | + | 290041.i | −0.0635141 | + | 0.0461457i | ||||
\(525\) | −25333.3 | − | 18405.7i | −0.00401138 | − | 0.00291444i | ||||
\(526\) | 2.48290e6 | + | 7.64159e6i | 0.391287 | + | 1.20426i | ||||
\(527\) | −1.64706e6 | −0.258334 | ||||||||
\(528\) | 742074. | + | 551590.i | 0.115841 | + | 0.0861057i | ||||
\(529\) | −6.42814e6 | −0.998726 | ||||||||
\(530\) | 962757. | + | 2.96306e6i | 0.148877 | + | 0.458196i | ||||
\(531\) | 562316. | + | 408547.i | 0.0865454 | + | 0.0628789i | ||||
\(532\) | 44068.5 | − | 32017.6i | 0.00675070 | − | 0.00490467i | ||||
\(533\) | 384662. | − | 1.18387e6i | 0.0586491 | − | 0.180503i | ||||
\(534\) | −620758. | + | 1.91050e6i | −0.0942039 | + | 0.289930i | ||||
\(535\) | −4.40696e6 | + | 3.20184e6i | −0.665663 | + | 0.483632i | ||||
\(536\) | −344892. | − | 250578.i | −0.0518526 | − | 0.0376731i | ||||
\(537\) | −296853. | − | 913619.i | −0.0444227 | − | 0.136719i | ||||
\(538\) | −7.11005e6 | −1.05905 | ||||||||
\(539\) | 6.74343e6 | + | 73415.0i | 0.999790 | + | 0.0108846i | ||||
\(540\) | −357487. | −0.0527565 | ||||||||
\(541\) | 1.81565e6 | + | 5.58800e6i | 0.266710 | + | 0.820849i | 0.991295 | + | 0.131663i | \(0.0420317\pi\) |
−0.724584 | + | 0.689186i | \(0.757968\pi\) | |||||||
\(542\) | −597976. | − | 434455.i | −0.0874350 | − | 0.0635253i | ||||
\(543\) | 1.32275e6 | − | 961036.i | 0.192522 | − | 0.139875i | ||||
\(544\) | 124803. | − | 384103.i | 0.0180812 | − | 0.0556481i | ||||
\(545\) | −189273. | + | 582523.i | −0.0272959 | + | 0.0840082i | ||||
\(546\) | −43392.8 | + | 31526.7i | −0.00622925 | + | 0.00452582i | ||||
\(547\) | −5.94812e6 | − | 4.32156e6i | −0.849985 | − | 0.617550i | 0.0751567 | − | 0.997172i | \(-0.476054\pi\) |
−0.925142 | + | 0.379621i | \(0.876054\pi\) | |||||||
\(548\) | −1.38757e6 | − | 4.27050e6i | −0.197380 | − | 0.607474i | ||||
\(549\) | −3.18713e6 | −0.451304 | ||||||||
\(550\) | 3.50831e6 | + | 38194.6i | 0.494528 | + | 0.00538387i | ||||
\(551\) | −2.25776e6 | −0.316810 | ||||||||
\(552\) | −16119.0 | − | 49609.2i | −0.00225160 | − | 0.00692970i | ||||
\(553\) | −33107.7 | − | 24054.2i | −0.00460380 | − | 0.00334486i | ||||
\(554\) | 4.65024e6 | − | 3.37860e6i | 0.643726 | − | 0.467694i | ||||
\(555\) | −981844. | + | 3.02181e6i | −0.135304 | + | 0.416422i | ||||
\(556\) | −1.00879e6 | + | 3.10473e6i | −0.138393 | + | 0.425929i | ||||
\(557\) | −6.64030e6 | + | 4.82446e6i | −0.906880 | + | 0.658887i | −0.940224 | − | 0.340557i | \(-0.889384\pi\) |
0.0333437 | + | 0.999444i | \(0.489384\pi\) | |||||||
\(558\) | 1.09464e6 | + | 795300.i | 0.148828 | + | 0.108130i | ||||
\(559\) | 5.12704e6 | + | 1.57794e7i | 0.693964 | + | 2.13580i | ||||
\(560\) | 12490.0 | 0.00168304 | ||||||||
\(561\) | 1.14327e6 | + | 849802.i | 0.153370 | + | 0.114001i | ||||
\(562\) | −796715. | −0.106405 | ||||||||
\(563\) | 216678. | + | 666868.i | 0.0288101 | + | 0.0886684i | 0.964428 | − | 0.264347i | \(-0.0851564\pi\) |
−0.935618 | + | 0.353015i | \(0.885156\pi\) | |||||||
\(564\) | 1.16327e6 | + | 845166.i | 0.153987 | + | 0.111878i | ||||
\(565\) | −5.19747e6 | + | 3.77618e6i | −0.684969 | + | 0.497659i | ||||
\(566\) | 1.71758e6 | − | 5.28618e6i | 0.225360 | − | 0.693587i | ||||
\(567\) | −3227.48 | + | 9933.15i | −0.000421605 | + | 0.00129757i | ||||
\(568\) | −1.51243e6 | + | 1.09885e6i | −0.196700 | + | 0.142911i | ||||
\(569\) | 6.22955e6 | + | 4.52603e6i | 0.806633 | + | 0.586053i | 0.912852 | − | 0.408290i | \(-0.133875\pi\) |
−0.106219 | + | 0.994343i | \(0.533875\pi\) | |||||||
\(570\) | −729184. | − | 2.24420e6i | −0.0940048 | − | 0.289317i | ||||
\(571\) | 9.38506e6 | 1.20461 | 0.602306 | − | 0.798266i | \(-0.294249\pi\) | ||||
0.602306 | + | 0.798266i | \(0.294249\pi\) | |||||||
\(572\) | 1.91919e6 | − | 5.69495e6i | 0.245261 | − | 0.727780i | ||||
\(573\) | −3.33734e6 | −0.424633 | ||||||||
\(574\) | 2617.00 | + | 8054.29i | 0.000331531 | + | 0.00102035i | ||||
\(575\) | −160130. | − | 116341.i | −0.0201977 | − | 0.0146745i | ||||
\(576\) | −268412. | + | 195013.i | −0.0337090 | + | 0.0244911i | ||||
\(577\) | 3.56102e6 | − | 1.09597e7i | 0.445282 | − | 1.37044i | −0.436892 | − | 0.899514i | \(-0.643921\pi\) |
0.882174 | − | 0.470923i | \(-0.156079\pi\) | |||||||
\(578\) | −1.56276e6 | + | 4.80969e6i | −0.194569 | + | 0.598822i | ||||
\(579\) | −1.46558e6 | + | 1.06481e6i | −0.181683 | + | 0.132000i | ||||
\(580\) | −418821. | − | 304292.i | −0.0516962 | − | 0.0375595i | ||||
\(581\) | −49993.3 | − | 153863.i | −0.00614428 | − | 0.0189102i | ||||
\(582\) | −6.02429e6 | −0.737222 | ||||||||
\(583\) | −8.31566e6 | + | 5.90445e6i | −1.01327 | + | 0.719462i | ||||
\(584\) | 24629.4 | 0.00298828 | ||||||||
\(585\) | 718004. | + | 2.20979e6i | 0.0867435 | + | 0.266969i | ||||
\(586\) | 7.35460e6 | + | 5.34343e6i | 0.884739 | + | 0.642800i | ||||
\(587\) | 1.05188e7 | − | 7.64233e6i | 1.26000 | − | 0.915441i | 0.261239 | − | 0.965274i | \(-0.415869\pi\) |
0.998758 | + | 0.0498333i | \(0.0158690\pi\) | |||||||
\(588\) | −747773. | + | 2.30141e6i | −0.0891921 | + | 0.274505i | ||||
\(589\) | −2.75987e6 | + | 8.49402e6i | −0.327794 | + | 1.00885i | ||||
\(590\) | −851076. | + | 618343.i | −0.100656 | + | 0.0731306i | ||||
\(591\) | −2.39550e6 | − | 1.74043e6i | −0.282116 | − | 0.204969i | ||||
\(592\) | 911228. | + | 2.80447e6i | 0.106862 | + | 0.328887i | ||||
\(593\) | −5.36206e6 | −0.626173 | −0.313087 | − | 0.949725i | \(-0.601363\pi\) | ||||
−0.313087 | + | 0.949725i | \(0.601363\pi\) | |||||||
\(594\) | −349482. | − | 1.11682e6i | −0.0406405 | − | 0.129873i | ||||
\(595\) | 19242.6 | 0.00222829 | ||||||||
\(596\) | −1.18577e6 | − | 3.64941e6i | −0.136736 | − | 0.420831i | ||||
\(597\) | −5.31134e6 | − | 3.85891e6i | −0.609913 | − | 0.443128i | ||||
\(598\) | −274282. | + | 199278.i | −0.0313650 | + | 0.0227880i | ||||
\(599\) | −2.27155e6 | + | 6.99110e6i | −0.258675 | + | 0.796120i | 0.734408 | + | 0.678708i | \(0.237460\pi\) |
−0.993083 | + | 0.117412i | \(0.962540\pi\) | |||||||
\(600\) | −389033. | + | 1.19732e6i | −0.0441172 | + | 0.135779i | ||||
\(601\) | −1.10155e7 | + | 8.00324e6i | −1.24400 | + | 0.903816i | −0.997858 | − | 0.0654192i | \(-0.979162\pi\) |
−0.246138 | + | 0.969235i | \(0.579162\pi\) | |||||||
\(602\) | −91320.1 | − | 66347.9i | −0.0102701 | − | 0.00746167i | ||||
\(603\) | 166729. | + | 513140.i | 0.0186732 | + | 0.0574702i | ||||
\(604\) | 7.66940e6 | 0.855400 | ||||||||
\(605\) | −1.42275e6 | − | 4.72652e6i | −0.158030 | − | 0.524993i | ||||
\(606\) | −1.33223e6 | −0.147366 | ||||||||
\(607\) | −69336.6 | − | 213396.i | −0.00763820 | − | 0.0235080i | 0.947165 | − | 0.320747i | \(-0.103934\pi\) |
−0.954803 | + | 0.297239i | \(0.903934\pi\) | |||||||
\(608\) | −1.77173e6 | − | 1.28724e6i | −0.194374 | − | 0.141221i | ||||
\(609\) | −12236.3 | + | 8890.18i | −0.00133692 | + | 0.000971331i | ||||
\(610\) | 1.49063e6 | − | 4.58769e6i | 0.162198 | − | 0.499194i | ||||
\(611\) | 2.88795e6 | − | 8.88821e6i | 0.312959 | − | 0.963188i | ||||
\(612\) | −413527. | + | 300445.i | −0.0446298 | + | 0.0324255i | ||||
\(613\) | 8.41246e6 | + | 6.11201e6i | 0.904216 | + | 0.656951i | 0.939545 | − | 0.342424i | \(-0.111248\pi\) |
−0.0353296 | + | 0.999376i | \(0.511248\pi\) | |||||||
\(614\) | 3.69102e6 | + | 1.13598e7i | 0.395117 | + | 1.21605i | ||||
\(615\) | 366864. | 0.0391127 | ||||||||
\(616\) | 12210.4 | + | 39019.9i | 0.00129651 | + | 0.00414319i | ||||
\(617\) | −5.76529e6 | −0.609688 | −0.304844 | − | 0.952402i | \(-0.598604\pi\) | ||||
−0.304844 | + | 0.952402i | \(0.598604\pi\) | |||||||
\(618\) | 879625. | + | 2.70721e6i | 0.0926460 | + | 0.285135i | ||||
\(619\) | −9.55842e6 | − | 6.94460e6i | −1.00267 | − | 0.728485i | −0.0400135 | − | 0.999199i | \(-0.512740\pi\) |
−0.962660 | + | 0.270714i | \(0.912740\pi\) | |||||||
\(620\) | −1.65675e6 | + | 1.20370e6i | −0.173093 | + | 0.125759i | ||||
\(621\) | −20400.6 | + | 62786.6i | −0.00212283 | + | 0.00653338i | ||||
\(622\) | 1.07919e6 | − | 3.32142e6i | 0.111847 | − | 0.344229i | ||||
\(623\) | −71863.1 | + | 52211.6i | −0.00741798 | + | 0.00538948i | ||||
\(624\) | 1.74456e6 | + | 1.26750e6i | 0.179360 | + | 0.130313i | ||||
\(625\) | 569094. | + | 1.75149e6i | 0.0582752 | + | 0.179353i | ||||
\(626\) | 1.99172e6 | 0.203139 | ||||||||
\(627\) | 6.29821e6 | − | 4.47198e6i | 0.639806 | − | 0.454288i | ||||
\(628\) | −2.19738e6 | −0.222334 | ||||||||
\(629\) | 1.40387e6 | + | 4.32068e6i | 0.141482 | + | 0.435437i | ||||
\(630\) | −12788.7 | − | 9291.53i | −0.00128373 | − | 0.000932687i | ||||
\(631\) | −8.15428e6 | + | 5.92443e6i | −0.815290 | + | 0.592343i | −0.915360 | − | 0.402637i | \(-0.868094\pi\) |
0.100069 | + | 0.994980i | \(0.468094\pi\) | |||||||
\(632\) | −508420. | + | 1.56476e6i | −0.0506326 | + | 0.155831i | ||||
\(633\) | −1.64453e6 | + | 5.06134e6i | −0.163130 | + | 0.502061i | ||||
\(634\) | 8.87273e6 | − | 6.44641e6i | 0.876666 | − | 0.636935i | ||||
\(635\) | 2.81291e6 | + | 2.04370e6i | 0.276836 | + | 0.201133i | ||||
\(636\) | −1.13085e6 | − | 3.48041e6i | −0.110857 | − | 0.341183i | ||||
\(637\) | 1.57279e7 | 1.53576 | ||||||||
\(638\) | 541190. | − | 1.60591e6i | 0.0526379 | − | 0.156196i | ||||
\(639\) | 2.36604e6 | 0.229230 | ||||||||
\(640\) | −155173. | − | 477572.i | −0.0149749 | − | 0.0460881i | ||||
\(641\) | −444511. | − | 322956.i | −0.0427305 | − | 0.0310455i | 0.566215 | − | 0.824258i | \(-0.308407\pi\) |
−0.608945 | + | 0.793212i | \(0.708407\pi\) | |||||||
\(642\) | 5.17641e6 | − | 3.76088e6i | 0.495668 | − | 0.360124i | ||||
\(643\) | 4.96547e6 | − | 1.52821e7i | 0.473623 | − | 1.45766i | −0.374183 | − | 0.927355i | \(-0.622077\pi\) |
0.847806 | − | 0.530307i | \(-0.177923\pi\) | |||||||
\(644\) | 712.765 | − | 2193.67i | 6.77223e−5 | − | 0.000208428i | ||||
\(645\) | −3.95595e6 | + | 2.87416e6i | −0.374413 | + | 0.272027i | ||||
\(646\) | −2.72960e6 | − | 1.98317e6i | −0.257346 | − | 0.186973i | ||||
\(647\) | −4.18779e6 | − | 1.28887e7i | −0.393300 | − | 1.21045i | −0.930277 | − | 0.366857i | \(-0.880434\pi\) |
0.536977 | − | 0.843597i | \(-0.319566\pi\) | |||||||
\(648\) | 419904. | 0.0392837 | ||||||||
\(649\) | −2.76377e6 | − | 2.05434e6i | −0.257567 | − | 0.191452i | ||||
\(650\) | 8.18254e6 | 0.759635 | ||||||||
\(651\) | 18488.5 | + | 56901.9i | 0.00170982 | + | 0.00526228i | ||||
\(652\) | 2.58832e6 | + | 1.88052e6i | 0.238451 | + | 0.173244i | ||||
\(653\) | −3.23232e6 | + | 2.34842e6i | −0.296641 | + | 0.215522i | −0.726143 | − | 0.687543i | \(-0.758689\pi\) |
0.429502 | + | 0.903066i | \(0.358689\pi\) | |||||||
\(654\) | 222320. | − | 684231.i | 0.0203252 | − | 0.0625545i | ||||
\(655\) | −292089. | + | 898959.i | −0.0266019 | + | 0.0818722i | ||||
\(656\) | 275453. | − | 200128.i | 0.0249913 | − | 0.0181572i | ||||
\(657\) | −25218.3 | − | 18322.2i | −0.00227931 | − | 0.00165601i | ||||
\(658\) | 19647.8 | + | 60469.8i | 0.00176909 | + | 0.00544469i | ||||
\(659\) | −2.14695e7 | −1.92578 | −0.962892 | − | 0.269889i | \(-0.913013\pi\) | ||||
−0.962892 | + | 0.269889i | \(0.913013\pi\) | |||||||
\(660\) | 1.77105e6 | + | 19281.3i | 0.158260 | + | 0.00172296i | ||||
\(661\) | 6.17516e6 | 0.549724 | 0.274862 | − | 0.961484i | \(-0.411368\pi\) | ||||
0.274862 | + | 0.961484i | \(0.411368\pi\) | |||||||
\(662\) | −4.44862e6 | − | 1.36914e7i | −0.394530 | − | 1.21424i | ||||
\(663\) | 2.68774e6 | + | 1.95276e6i | 0.237467 | + | 0.172530i | ||||
\(664\) | −5.26206e6 | + | 3.82311e6i | −0.463165 | + | 0.336509i | ||||
\(665\) | 32243.8 | − | 99236.1i | 0.00282743 | − | 0.00870193i | ||||
\(666\) | 1.15327e6 | − | 3.54941e6i | 0.100750 | − | 0.310078i | ||||
\(667\) | −77344.5 | + | 56194.1i | −0.00673155 | + | 0.00489075i | ||||
\(668\) | 814030. | + | 591427.i | 0.0705828 | + | 0.0512814i | ||||
\(669\) | −1.78294e6 | − | 5.48731e6i | −0.154018 | − | 0.474018i | ||||
\(670\) | −816616. | −0.0702798 | ||||||||
\(671\) | 1.57896e7 | + | 171900.i | 1.35383 | + | 0.0147390i | ||||
\(672\) | −14670.8 | −0.00125323 | ||||||||
\(673\) | −7.18765e6 | − | 2.21213e7i | −0.611715 | − | 1.88267i | −0.441508 | − | 0.897257i | \(-0.645556\pi\) |
−0.170207 | − | 0.985408i | \(-0.554444\pi\) | |||||||
\(674\) | 4.48627e6 | + | 3.25946e6i | 0.380396 | + | 0.276374i | ||||
\(675\) | 1.28904e6 | − | 936543.i | 0.108895 | − | 0.0791167i | ||||
\(676\) | 2.49530e6 | − | 7.67975e6i | 0.210018 | − | 0.646369i | ||||
\(677\) | −548695. | + | 1.68871e6i | −0.0460108 | + | 0.141607i | −0.971423 | − | 0.237356i | \(-0.923719\pi\) |
0.925412 | + | 0.378963i | \(0.123719\pi\) | |||||||
\(678\) | 6.10494e6 | − | 4.43550e6i | 0.510044 | − | 0.370568i | ||||
\(679\) | −215512. | − | 156579.i | −0.0179390 | − | 0.0130334i | ||||
\(680\) | −239065. | − | 735767.i | −0.0198264 | − | 0.0610194i | ||||
\(681\) | −3.61661e6 | −0.298837 | ||||||||
\(682\) | −5.38012e6 | − | 3.99909e6i | −0.442926 | − | 0.329231i | ||||
\(683\) | 4.78941e6 | 0.392853 | 0.196426 | − | 0.980519i | \(-0.437066\pi\) | ||||
0.196426 | + | 0.980519i | \(0.437066\pi\) | |||||||
\(684\) | 856499. | + | 2.63603e6i | 0.0699982 | + | 0.215432i | ||||
\(685\) | −6.95862e6 | − | 5.05573e6i | −0.566626 | − | 0.411678i | ||||
\(686\) | −173147. | + | 125799.i | −0.0140477 | + | 0.0102063i | ||||
\(687\) | 941942. | − | 2.89900e6i | 0.0761434 | − | 0.234345i | ||||
\(688\) | −1.40236e6 | + | 4.31603e6i | −0.112951 | + | 0.347627i | ||||
\(689\) | −1.92427e7 | + | 1.39806e7i | −1.54425 | + | 1.12196i | ||||
\(690\) | −80836.3 | − | 58731.0i | −0.00646373 | − | 0.00469618i | ||||
\(691\) | 1.54728e6 | + | 4.76203e6i | 0.123274 | + | 0.379400i | 0.993583 | − | 0.113108i | \(-0.0360805\pi\) |
−0.870308 | + | 0.492507i | \(0.836081\pi\) | |||||||
\(692\) | 9.59868e6 | 0.761985 | ||||||||
\(693\) | 16525.2 | − | 49036.5i | 0.00130712 | − | 0.00387870i | ||||
\(694\) | −5.26504e6 | −0.414957 | ||||||||
\(695\) | 1.93238e6 | + | 5.94726e6i | 0.151751 | + | 0.467041i | ||||
\(696\) | 491947. | + | 357421.i | 0.0384942 | + | 0.0279677i | ||||
\(697\) | 424374. | − | 308326.i | 0.0330877 | − | 0.0240396i | ||||
\(698\) | −2.48779e6 | + | 7.65663e6i | −0.193275 | + | 0.594839i | ||||
\(699\) | 3.23369e6 | − | 9.95229e6i | 0.250326 | − | 0.770424i | ||||
\(700\) | −45037.0 | + | 32721.3i | −0.00347396 | + | 0.00252398i | ||||
\(701\) | −3.05642e6 | − | 2.22062e6i | −0.234919 | − | 0.170679i | 0.464098 | − | 0.885784i | \(-0.346379\pi\) |
−0.699017 | + | 0.715105i | \(0.746379\pi\) | |||||||
\(702\) | −843367. | − | 2.59562e6i | −0.0645913 | − | 0.198791i | ||||
\(703\) | 2.46345e7 | 1.87999 | ||||||||
\(704\) | 1.34028e6 | − | 951651.i | 0.101921 | − | 0.0723679i | ||||
\(705\) | 2.75433e6 | 0.208710 | ||||||||
\(706\) | −1.84457e6 | − | 5.67701e6i | −0.139278 | − | 0.428655i | ||||
\(707\) | −47658.9 | − | 34626.2i | −0.00358588 | − | 0.00260529i | ||||
\(708\) | 999673. | − | 726305.i | 0.0749505 | − | 0.0544548i | ||||
\(709\) | 617866. | − | 1.90160e6i | 0.0461614 | − | 0.142070i | −0.925319 | − | 0.379189i | \(-0.876203\pi\) |
0.971481 | + | 0.237119i | \(0.0762030\pi\) | |||||||
\(710\) | −1.10661e6 | + | 3.40578e6i | −0.0823848 | + | 0.253554i | ||||
\(711\) | 1.68463e6 | − | 1.22395e6i | 0.124977 | − | 0.0908009i | ||||
\(712\) | 2.88918e6 | + | 2.09911e6i | 0.213587 | + | 0.155180i | ||||
\(713\) | 116865. | + | 359672.i | 0.00860912 | + | 0.0264962i | ||||
\(714\) | −22602.4 | −0.00165924 | ||||||||
\(715\) | −3.43793e6 | − | 1.09864e7i | −0.251496 | − | 0.803693i | ||||
\(716\) | −1.70780e6 | −0.124496 | ||||||||
\(717\) | 2.98548e6 | + | 9.18835e6i | 0.216878 | + | 0.667482i | ||||
\(718\) | −1.36923e7 | − | 9.94806e6i | −0.991212 | − | 0.720157i | ||||
\(719\) | −7.86754e6 | + | 5.71610e6i | −0.567566 | + | 0.412361i | −0.834220 | − | 0.551431i | \(-0.814082\pi\) |
0.266654 | + | 0.963792i | \(0.414082\pi\) | |||||||
\(720\) | −196390. | + | 604427.i | −0.0141185 | + | 0.0434523i | ||||
\(721\) | −38896.1 | + | 119710.i | −0.00278656 | + | 0.00857614i | ||||
\(722\) | −6.78838e6 | + | 4.93204e6i | −0.484644 | + | 0.352114i | ||||
\(723\) | −6.25865e6 | − | 4.54717e6i | −0.445282 | − | 0.323516i | ||||
\(724\) | −898216. | − | 2.76443e6i | −0.0636846 | − | 0.196001i | ||||
\(725\) | 2.30738e6 | 0.163033 | ||||||||
\(726\) | 1.67116e6 | + | 5.55177e6i | 0.117673 | + | 0.390922i | ||||
\(727\) | −4.16302e6 | −0.292127 | −0.146064 | − | 0.989275i | \(-0.546660\pi\) | ||||
−0.146064 | + | 0.989275i | \(0.546660\pi\) | |||||||
\(728\) | 29465.9 | + | 90686.7i | 0.00206059 | + | 0.00634184i | ||||
\(729\) | −429945. | − | 312373.i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | 38168.4 | − | 27731.0i | 0.00265092 | − | 0.00192601i | ||||
\(731\) | −2.16053e6 | + | 6.64944e6i | −0.149544 | + | 0.460248i | ||||
\(732\) | −1.75089e6 | + | 5.38870e6i | −0.120776 | + | 0.371712i | ||||
\(733\) | −7.37146e6 | + | 5.35568e6i | −0.506749 | + | 0.368175i | −0.811589 | − | 0.584229i | \(-0.801397\pi\) |
0.304840 | + | 0.952404i | \(0.401397\pi\) | |||||||
\(734\) | −1.10074e7 | − | 7.99737e6i | −0.754130 | − | 0.547908i | ||||
\(735\) | 1.43239e6 | + | 4.40845e6i | 0.0978012 | + | 0.301001i | ||||
\(736\) | −92732.8 | −0.00631014 | ||||||||
\(737\) | −798330. | − | 2.55118e6i | −0.0541394 | − | 0.173010i | ||||
\(738\) | −430919. | −0.0291242 | ||||||||
\(739\) | −3.50280e6 | − | 1.07805e7i | −0.235942 | − | 0.726154i | −0.996995 | − | 0.0774647i | \(-0.975317\pi\) |
0.761053 | − | 0.648689i | \(-0.224683\pi\) | |||||||
\(740\) | 4.56978e6 | + | 3.32014e6i | 0.306772 | + | 0.222883i | ||||
\(741\) | 1.45743e7 | − | 1.05888e7i | 0.975082 | − | 0.708438i | ||||
\(742\) | 50005.1 | − | 153900.i | 0.00333430 | − | 0.0102619i | ||||
\(743\) | −3.77186e6 | + | 1.16086e7i | −0.250659 | + | 0.771449i | 0.743995 | + | 0.668185i | \(0.232929\pi\) |
−0.994654 | + | 0.103264i | \(0.967071\pi\) | |||||||
\(744\) | 1.94602e6 | − | 1.41387e6i | 0.128889 | − | 0.0936431i | ||||
\(745\) | −5.94658e6 | − | 4.32044e6i | −0.392533 | − | 0.285192i | ||||
\(746\) | 3.72269e6 | + | 1.14573e7i | 0.244912 | + | 0.753761i | ||||
\(747\) | 8.23196e6 | 0.539762 | ||||||||
\(748\) | 2.06489e6 | − | 1.46615e6i | 0.134940 | − | 0.0958131i | ||||
\(749\) | 282930. | 0.0184278 | ||||||||
\(750\) | 1.81070e6 | + | 5.57275e6i | 0.117542 | + | 0.361757i | ||||
\(751\) | 1.67934e7 | + | 1.22011e7i | 1.08652 | + | 0.789404i | 0.978808 | − | 0.204778i | \(-0.0656473\pi\) |
0.107713 | + | 0.994182i | \(0.465647\pi\) | |||||||
\(752\) | 2.06804e6 | − | 1.50252e6i | 0.133356 | − | 0.0968891i | ||||
\(753\) | −2.36603e6 | + | 7.28191e6i | −0.152067 | + | 0.468013i | ||||
\(754\) | 1.22131e6 | − | 3.75882e6i | 0.0782346 | − | 0.240781i | ||||
\(755\) | 1.18854e7 | − | 8.63521e6i | 0.758830 | − | 0.551323i | ||||
\(756\) | 15021.6 | + | 10913.8i | 0.000955898 | + | 0.000694500i | ||||
\(757\) | 5.56063e6 | + | 1.71139e7i | 0.352683 | + | 1.08545i | 0.957341 | + | 0.288961i | \(0.0933097\pi\) |
−0.604658 | + | 0.796485i | \(0.706690\pi\) | |||||||
\(758\) | −7.13046e6 | −0.450759 | ||||||||
\(759\) | 104455. | − | 309955.i | 0.00658147 | − | 0.0195297i | ||||
\(760\) | −4.19500e6 | −0.263450 | ||||||||
\(761\) | 5.15403e6 | + | 1.58625e7i | 0.322616 | + | 0.992909i | 0.972505 | + | 0.232881i | \(0.0748151\pi\) |
−0.649890 | + | 0.760029i | \(0.725185\pi\) | |||||||
\(762\) | −3.30405e6 | − | 2.40053e6i | −0.206138 | − | 0.149768i | ||||
\(763\) | 25737.3 | − | 18699.2i | 0.00160048 | − | 0.00116282i | ||||
\(764\) | −1.83341e6 | + | 5.64267e6i | −0.113639 | + | 0.349745i | ||||
\(765\) | −302567. | + | 931205.i | −0.0186925 | + | 0.0575296i | ||||
\(766\) | −1.76029e7 | + | 1.27892e7i | −1.08396 | + | 0.787541i | ||||
\(767\) | −6.49744e6 | − | 4.72066e6i | −0.398799 | − | 0.289744i | ||||
\(768\) | 182266. | + | 560956.i | 0.0111507 | + | 0.0343183i | ||||
\(769\) | 1.10319e7 | 0.672718 | 0.336359 | − | 0.941734i | \(-0.390804\pi\) | ||||
0.336359 | + | 0.941734i | \(0.390804\pi\) | |||||||
\(770\) | 62856.2 | + | 46721.6i | 0.00382051 | + | 0.00283982i | ||||
\(771\) | −1.75000e7 | −1.06023 | ||||||||
\(772\) | 995205. | + | 3.06293e6i | 0.0600993 | + | 0.184967i | ||||
\(773\) | 2.77975e6 | + | 2.01961e6i | 0.167324 | + | 0.121568i | 0.668296 | − | 0.743896i | \(-0.267024\pi\) |
−0.500972 | + | 0.865463i | \(0.667024\pi\) | |||||||
\(774\) | 4.64665e6 | − | 3.37599e6i | 0.278797 | − | 0.202558i | ||||
\(775\) | 2.82053e6 | − | 8.68070e6i | 0.168685 | − | 0.519159i | ||||
\(776\) | −3.30952e6 | + | 1.01857e7i | −0.197293 | + | 0.607205i | ||||
\(777\) | 133511. | − | 97001.2i | 0.00793347 | − | 0.00576401i | ||||
\(778\) | −1.16121e7 | − | 8.43672e6i | −0.687802 | − | 0.499717i | ||||
\(779\) | −878966. | − | 2.70518e6i | −0.0518954 | − | 0.159718i | ||||
\(780\) | 4.13068e6 | 0.243100 | ||||||||
\(781\) | −1.17218e7 | − | 127614.i | −0.687648 | − | 0.00748635i | ||||
\(782\) | −142868. | −0.00835444 | ||||||||
\(783\) | −237820. | − | 731935.i | −0.0138626 | − | 0.0426646i | ||||
\(784\) | 3.48035e6 | + | 2.52862e6i | 0.202224 | + | 0.146924i | ||||
\(785\) | −3.40530e6 | + | 2.47410e6i | −0.197234 | + | 0.143299i | ||||
\(786\) | 343088. | − | 1.05592e6i | 0.0198084 | − | 0.0609640i | ||||
\(787\) | 3.53686e6 | − | 1.08853e7i | 0.203555 | − | 0.626477i | −0.796215 | − | 0.605014i | \(-0.793168\pi\) |
0.999770 | − | 0.0214632i | \(-0.00683247\pi\) | |||||||
\(788\) | −4.25867e6 | + | 3.09411e6i | −0.244320 | + | 0.177509i | ||||
\(789\) | −1.46257e7 | − | 1.06262e7i | −0.836421 | − | 0.607695i | ||||
\(790\) | 973903. | + | 2.99737e6i | 0.0555198 | + | 0.170872i | ||||
\(791\) | 333682. | 0.0189623 | ||||||||
\(792\) | −2.08028e6 | − | 22647.7i | −0.117844 | − | 0.00128296i | ||||
\(793\) | 3.68266e7 | 2.07960 | ||||||||
\(794\) | 6.44198e6 | + | 1.98264e7i | 0.362634 | + | 1.11607i | ||||
\(795\) | −5.67119e6 | − | 4.12036e6i | −0.318241 | − | 0.231216i | ||||
\(796\) | −9.44237e6 | + | 6.86029e6i | −0.528200 | + | 0.383760i | ||||
\(797\) | −9.75593e6 | + | 3.00257e7i | −0.544030 | + | 1.67435i | 0.179254 | + | 0.983803i | \(0.442631\pi\) |
−0.723285 | + | 0.690550i | \(0.757369\pi\) | |||||||
\(798\) | −37873.5 | + | 116563.i | −0.00210537 | + | 0.00647966i | ||||
\(799\) | 3.18610e6 | − | 2.31484e6i | 0.176560 | − | 0.128278i | ||||
\(800\) | 1.81067e6 | + | 1.31553e6i | 0.100026 | + | 0.0726733i | ||||
\(801\) | −1.39671e6 | − | 4.29862e6i | −0.0769172 | − | 0.236727i | ||||
\(802\) | −2.56710e6 | −0.140931 | ||||||||
\(803\) | 123948. | + | 92131.5i | 0.00678344 | + | 0.00504219i | ||||
\(804\) | 959196. | 0.0523320 | ||||||||
\(805\) | −1365.34 | − | 4202.07i | −7.42591e−5 | − | 0.000228546i | ||||
\(806\) | −1.26483e7 | − | 9.18951e6i | −0.685794 | − | 0.498259i | ||||
\(807\) | 1.29423e7 | − | 9.40316e6i | 0.699567 | − | 0.508265i | ||||
\(808\) | −731876. | + | 2.25248e6i | −0.0394375 | + | 0.121376i | ||||
\(809\) | −1.02411e6 | + | 3.15188e6i | −0.0550142 | + | 0.169316i | −0.974788 | − | 0.223132i | \(-0.928372\pi\) |
0.919774 | + | 0.392448i | \(0.128372\pi\) | |||||||
\(810\) | 650729. | − | 472783.i | 0.0348488 | − | 0.0253191i | ||||
\(811\) | 6.16149e6 | + | 4.47659e6i | 0.328953 | + | 0.238998i | 0.739986 | − | 0.672622i | \(-0.234832\pi\) |
−0.411033 | + | 0.911620i | \(0.634832\pi\) | |||||||
\(812\) | 8309.05 | + | 25572.6i | 0.000442244 | + | 0.00136109i | ||||
\(813\) | 1.66306e6 | 0.0882434 | ||||||||
\(814\) | −5.90495e6 | + | 1.75222e7i | −0.312360 | + | 0.926888i | ||||
\(815\) | 6.12848e6 | 0.323190 | ||||||||
\(816\) | 280806. | + | 864231.i | 0.0147632 | + | 0.0454365i | ||||
\(817\) | 3.06715e7 | + | 2.22841e7i | 1.60761 | + | 1.16799i | ||||
\(818\) | 1.64536e7 | − | 1.19543e7i | 0.859763 | − | 0.624654i | ||||
\(819\) | 37292.8 | − | 114775.i | 0.00194274 | − | 0.00597915i | ||||
\(820\) | 201542. | − | 620282.i | 0.0104672 | − | 0.0322147i | ||||
\(821\) | 2.52833e7 | − | 1.83694e7i | 1.30911 | − | 0.951122i | 0.309108 | − | 0.951027i | \(-0.399970\pi\) |
1.00000 | 9.54010e-5i | \(-3.03671e-5\pi\) | ||||||||
\(822\) | 8.17359e6 | + | 5.93846e6i | 0.421923 | + | 0.306545i | ||||
\(823\) | 3.84034e6 | + | 1.18194e7i | 0.197638 | + | 0.608267i | 0.999936 | + | 0.0113430i | \(0.00361067\pi\) |
−0.802298 | + | 0.596924i | \(0.796389\pi\) | |||||||
\(824\) | 5.06049e6 | 0.259642 | ||||||||
\(825\) | −6.43664e6 | + | 4.57027e6i | −0.329249 | + | 0.233780i | ||||
\(826\) | 54639.7 | 0.00278650 | ||||||||
\(827\) | −8.60743e6 | − | 2.64909e7i | −0.437632 | − | 1.34689i | −0.890365 | − | 0.455248i | \(-0.849551\pi\) |
0.452732 | − | 0.891646i | \(-0.350449\pi\) | |||||||
\(828\) | 94950.2 | + | 68985.4i | 0.00481305 | + | 0.00349688i | ||||
\(829\) | −588896. | + | 427858.i | −0.0297613 | + | 0.0216229i | −0.602566 | − | 0.798069i | \(-0.705855\pi\) |
0.572805 | + | 0.819692i | \(0.305855\pi\) | |||||||
\(830\) | −3.85011e6 | + | 1.18494e7i | −0.193990 | + | 0.597038i | ||||
\(831\) | −3.99652e6 | + | 1.23000e7i | −0.200761 | + | 0.617880i | ||||
\(832\) | 3.10145e6 | − | 2.25333e6i | 0.155330 | − | 0.112854i | ||||
\(833\) | 5.36196e6 | + | 3.89569e6i | 0.267739 | + | 0.194523i | ||||
\(834\) | −2.26977e6 | − | 6.98565e6i | −0.112997 | − | 0.347769i | ||||
\(835\) | 1.92742e6 | 0.0956664 | ||||||||
\(836\) | −4.10107e6 | − | 1.31056e7i | −0.202946 | − | 0.648545i | ||||
\(837\) | −3.04435e6 | −0.150204 | ||||||||
\(838\) | −3.02119e6 | − | 9.29826e6i | −0.148617 | − | 0.457395i | ||||
\(839\) | 1.01777e7 | + | 7.39450e6i | 0.499164 | + | 0.362664i | 0.808697 | − | 0.588225i | \(-0.200173\pi\) |
−0.309534 | + | 0.950888i | \(0.600173\pi\) | |||||||
\(840\) | −22735.5 | + | 16518.3i | −0.00111175 | + | 0.000807731i | ||||
\(841\) | −5.99390e6 | + | 1.84473e7i | −0.292226 | + | 0.899380i | ||||
\(842\) | 6.63035e6 | − | 2.04061e7i | 0.322297 | − | 0.991928i | ||||
\(843\) | 1.45025e6 | − | 1.05367e6i | 0.0702868 | − | 0.0510664i | ||||
\(844\) | 7.65411e6 | + | 5.56104e6i | 0.369861 | + | 0.268720i | ||||
\(845\) | −4.77987e6 | − | 1.47109e7i | −0.230289 | − | 0.708758i | ||||
\(846\) | −3.23524e6 | −0.155410 | ||||||||
\(847\) | −84513.6 | + | 242044.i | −0.00404779 | + | 0.0115927i | ||||
\(848\) | −6.50581e6 | −0.310679 | ||||||||
\(849\) | 3.86456e6 | + | 1.18939e7i | 0.184006 | + | 0.566311i | ||||
\(850\) | 2.78959e6 | + | 2.02675e6i | 0.132432 | + | 0.0962174i | ||||
\(851\) | 843910. | − | 613136.i | 0.0399459 | − | 0.0290224i | ||||
\(852\) | 1.29982e6 | − | 4.00043e6i | 0.0613456 | − | 0.188802i | ||||
\(853\) | 764502. | − | 2.35289e6i | 0.0359754 | − | 0.110721i | −0.931456 | − | 0.363854i | \(-0.881461\pi\) |
0.967432 | + | 0.253133i | \(0.0814609\pi\) | |||||||
\(854\) | −202695. | + | 147267.i | −0.00951040 | + | 0.00690971i | ||||
\(855\) | 4.29532e6 | + | 3.12073e6i | 0.200946 | + | 0.145996i | ||||
\(856\) | −3.51504e6 | − | 1.08182e7i | −0.163963 | − | 0.504627i | ||||
\(857\) | −3.29116e7 | −1.53072 | −0.765362 | − | 0.643600i | \(-0.777440\pi\) | ||||
−0.765362 | + | 0.643600i | \(0.777440\pi\) | |||||||
\(858\) | 4.03819e6 | + | 1.29046e7i | 0.187270 | + | 0.598449i | ||||
\(859\) | −1.12463e7 | −0.520028 | −0.260014 | − | 0.965605i | \(-0.583727\pi\) | ||||
−0.260014 | + | 0.965605i | \(0.583727\pi\) | |||||||
\(860\) | 2.68629e6 | + | 8.26755e6i | 0.123853 | + | 0.381180i | ||||
\(861\) | −15415.6 | − | 11200.1i | −0.000708685 | − | 0.000514890i | ||||
\(862\) | −1.77736e7 | + | 1.29133e7i | −0.814717 | + | 0.591927i | ||||
\(863\) | −6.23301e6 | + | 1.91832e7i | −0.284886 | + | 0.876788i | 0.701547 | + | 0.712623i | \(0.252493\pi\) |
−0.986433 | + | 0.164165i | \(0.947507\pi\) | |||||||
\(864\) | 230680. | − | 709960.i | 0.0105130 | − | 0.0323556i | ||||
\(865\) | 1.48752e7 | − | 1.08074e7i | 0.675961 | − | 0.491115i | ||||
\(866\) | 343564. | + | 249614.i | 0.0155673 | + | 0.0113103i | ||||
\(867\) | −3.51622e6 | − | 1.08218e7i | −0.158865 | − | 0.488936i | ||||
\(868\) | 106365. | 0.00479180 | ||||||||
\(869\) | −8.41194e6 | + | 5.97281e6i | −0.377874 | + | 0.268305i | ||||
\(870\) | 1.16481e6 | 0.0521742 | ||||||||
\(871\) | −1.92652e6 | − | 5.92923e6i | −0.0860456 | − | 0.264821i | ||||
\(872\) | −1.03474e6 | − | 751783.i | −0.0460830 | − | 0.0334812i | ||||
\(873\) | 1.09659e7 | − | 7.96722e6i | 0.486979 | − | 0.353811i | ||||
\(874\) | −239395. | + | 736782.i | −0.0106008 | + | 0.0326258i | ||||
\(875\) | −80067.1 | + | 246421.i | −0.00353536 | + | 0.0108807i | ||||
\(876\) | −44832.6 | + | 32572.8i | −0.00197394 | + | 0.00143415i | ||||
\(877\) | −1.65220e7 | − | 1.20039e7i | −0.725375 | − | 0.527016i | 0.162722 | − | 0.986672i | \(-0.447973\pi\) |
−0.888097 | + | 0.459656i | \(0.847973\pi\) | |||||||
\(878\) | −5.67808e6 | − | 1.74753e7i | −0.248579 | − | 0.765049i | ||||
\(879\) | −2.04543e7 | −0.892919 | ||||||||
\(880\) | 1.00555e6 | − | 2.98384e6i | 0.0437721 | − | 0.129888i | ||||
\(881\) | 4.49818e6 | 0.195253 | 0.0976263 | − | 0.995223i | \(-0.468875\pi\) | ||||
0.0976263 | + | 0.995223i | \(0.468875\pi\) | |||||||
\(882\) | −1.68249e6 | − | 5.17817e6i | −0.0728250 | − | 0.224132i | ||||
\(883\) | −3.08903e6 | − | 2.24431e6i | −0.133327 | − | 0.0968681i | 0.519123 | − | 0.854700i | \(-0.326259\pi\) |
−0.652450 | + | 0.757832i | \(0.726259\pi\) | |||||||
\(884\) | 4.77821e6 | − | 3.47157e6i | 0.205653 | − | 0.149416i | ||||
\(885\) | 731435. | − | 2.25112e6i | 0.0313919 | − | 0.0966143i | ||||
\(886\) | 6.15981e6 | − | 1.89580e7i | 0.263623 | − | 0.811348i | ||||
\(887\) | 1.74286e7 | − | 1.26626e7i | 0.743794 | − | 0.540398i | −0.150103 | − | 0.988670i | \(-0.547961\pi\) |
0.893897 | + | 0.448273i | \(0.147961\pi\) | |||||||
\(888\) | −5.36766e6 | − | 3.89983e6i | −0.228430 | − | 0.165964i | ||||
\(889\) | −55805.8 | − | 171753.i | −0.00236824 | − | 0.00728868i | ||||
\(890\) | 6.84085e6 | 0.289491 | ||||||||
\(891\) | 2.11317e6 | + | 1.57074e6i | 0.0891745 | + | 0.0662842i | ||||
\(892\) | −1.02573e7 | −0.431637 | ||||||||
\(893\) | −6.59908e6 | − | 2.03099e7i | −0.276920 | − | 0.852272i | ||||
\(894\) | 6.98485e6 | + | 5.07479e6i | 0.292289 | + | 0.212361i | ||||
\(895\) | −2.64659e6 | + | 1.92286e6i | −0.110441 | + | 0.0802399i | ||||
\(896\) | −8059.59 | + | 24804.9i | −0.000335385 | + | 0.00103221i | ||||
\(897\) | 235725. | − | 725486.i | 0.00978191 | − | 0.0301056i | ||||
\(898\) | 2.04024e7 | − | 1.48232e7i | 0.844289 | − | 0.613412i | ||||
\(899\) | −3.56667e6 | − | 2.59134e6i | −0.147185 | − | 0.106936i | ||||
\(900\) | −875324. | − | 2.69397e6i | −0.0360216 | − | 0.110863i | ||||
\(901\) | −1.00231e7 | −0.411330 | ||||||||
\(902\) | 2.13484e6 | + | 23241.8i | 0.0873675 | + | 0.000951161i | ||||
\(903\) | 253975. | 0.0103651 | ||||||||
\(904\) | −4.14556e6 | − | 1.27587e7i | −0.168718 | − | 0.519262i | ||||
\(905\) | −4.50453e6 | − | 3.27273e6i | −0.182822 | − | 0.132828i | ||||
\(906\) | −1.39605e7 | + | 1.01429e7i | −0.565043 | + | 0.410528i | ||||
\(907\) | −2.04718e6 | + | 6.30057e6i | −0.0826300 | + | 0.254309i | −0.983833 | − | 0.179088i | \(-0.942685\pi\) |
0.901203 | + | 0.433397i | \(0.142685\pi\) | |||||||
\(908\) | −1.98684e6 | + | 6.11485e6i | −0.0799737 | + | 0.246134i | ||||
\(909\) | 2.42504e6 | − | 1.76189e6i | 0.0973438 | − | 0.0707244i | ||||
\(910\) | 147771. | + | 107362.i | 0.00591540 | + | 0.00429779i | ||||
\(911\) | −9.43049e6 | − | 2.90241e7i | −0.376477 | − | 1.15868i | −0.942477 | − | 0.334271i | \(-0.891510\pi\) |
0.566000 | − | 0.824405i | \(-0.308490\pi\) | |||||||
\(912\) | 4.92745e6 | 0.196171 | ||||||||
\(913\) | −4.07825e7 | − | 443995.i | −1.61919 | − | 0.0176279i | ||||
\(914\) | 3.21817e7 | 1.27422 | ||||||||
\(915\) | 3.35392e6 | + | 1.03223e7i | 0.132434 | + | 0.407590i | ||||
\(916\) | −4.38407e6 | − | 3.18521e6i | −0.172639 | − | 0.125429i | ||||
\(917\) | 39718.2 | − | 28856.9i | 0.00155979 | − | 0.00113325i | ||||
\(918\) | 355395. | − | 1.09379e6i | 0.0139189 | − | 0.0428379i | ||||
\(919\) | −4.79890e6 | + | 1.47695e7i | −0.187436 | + | 0.576869i | −0.999982 | − | 0.00602850i | \(-0.998081\pi\) |
0.812546 | + | 0.582897i | \(0.198081\pi\) | |||||||
\(920\) | −143709. | + | 104411.i | −0.00559776 | + | 0.00406701i | ||||
\(921\) | −2.17423e7 | − | 1.57967e7i | −0.844608 | − | 0.613644i | ||||
\(922\) | 2.17722e6 | + | 6.70080e6i | 0.0843481 | + | 0.259597i | ||||
\(923\) | −2.73391e7 | −1.05628 | ||||||||
\(924\) | −73830.9 | − | 54879.2i | −0.00284484 | − | 0.00211460i | ||||
\(925\) | −2.51760e7 | −0.967458 | ||||||||
\(926\) | −3.26823e6 | − | 1.00586e7i | −0.125252 | − | 0.385486i | ||||
\(927\) | −5.18150e6 | − | 3.76458e6i | −0.198041 | − | 0.143886i | ||||
\(928\) | 874573. | − | 635414.i | 0.0333370 | − | 0.0242207i | ||||
\(929\) | 1.47381e7 | − | 4.53592e7i | 0.560276 | − | 1.72435i | −0.121311 | − | 0.992615i | \(-0.538710\pi\) |
0.681587 | − | 0.731738i | \(-0.261290\pi\) | |||||||
\(930\) | 1.42385e6 | − | 4.38216e6i | 0.0539830 | − | 0.166143i | ||||
\(931\) | 2.90752e7 | − | 2.11243e7i | 1.09938 | − | 0.798746i | ||||
\(932\) | −1.50505e7 | − | 1.09348e7i | −0.567560 | − | 0.412357i | ||||
\(933\) | 2.42819e6 | + | 7.47319e6i | 0.0913225 | + | 0.281062i | ||||
\(934\) | 3.25106e7 | 1.21943 | ||||||||
\(935\) | 1.54919e6 | − | 4.59703e6i | 0.0579530 | − | 0.171968i | ||||
\(936\) | −4.85190e6 | −0.181018 | ||||||||
\(937\) | 4.43316e6 | + | 1.36439e7i | 0.164955 | + | 0.507678i | 0.999033 | − | 0.0439678i | \(-0.0139999\pi\) |
−0.834078 | + | 0.551646i | \(0.814000\pi\) | |||||||
\(938\) | 34314.2 | + | 24930.7i | 0.00127340 | + | 0.000925182i | ||||
\(939\) | −3.62551e6 | + | 2.63409e6i | −0.134185 | + | 0.0974914i | ||||
\(940\) | 1.51313e6 | − | 4.65694e6i | 0.0558543 | − | 0.171902i | ||||
\(941\) | 9.12708e6 | − | 2.80903e7i | 0.336014 | − | 1.03415i | −0.630206 | − | 0.776428i | \(-0.717029\pi\) |
0.966220 | − | 0.257718i | \(-0.0829706\pi\) | |||||||
\(942\) | 3.99987e6 | − | 2.90607e6i | 0.146865 | − | 0.106704i | ||||
\(943\) | −97440.9 | − | 70794.9i | −0.00356831 | − | 0.00259253i | ||||
\(944\) | −678829. | − | 2.08922e6i | −0.0247931 | − | 0.0763052i | ||||
\(945\) | 35567.3 | 0.00129560 | ||||||||
\(946\) | −2.32024e7 | + | 1.64746e7i | −0.842956 | + | 0.598532i | ||||
\(947\) | 1.69481e7 | 0.614109 | 0.307054 | − | 0.951692i | \(-0.400657\pi\) | ||||
0.307054 | + | 0.951692i | \(0.400657\pi\) | |||||||
\(948\) | −1.14395e6 | − | 3.52070e6i | −0.0413414 | − | 0.127236i | ||||
\(949\) | 291392. | + | 211709.i | 0.0105030 | + | 0.00763087i | ||||
\(950\) | 1.51265e7 | − | 1.09901e7i | 0.543788 | − | 0.395085i | ||||
\(951\) | −7.62543e6 | + | 2.34687e7i | −0.273409 | + | 0.841467i | ||||
\(952\) | −12416.9 | + | 38215.4i | −0.000444040 | + | 0.00136661i | ||||
\(953\) | 2.82219e7 | − | 2.05044e7i | 1.00659 | − | 0.731333i | 0.0431019 | − | 0.999071i | \(-0.486276\pi\) |
0.963492 | + | 0.267737i | \(0.0862760\pi\) | |||||||
\(954\) | 6.66138e6 | + | 4.83977e6i | 0.236970 | + | 0.172169i | ||||
\(955\) | 3.51199e6 | + | 1.08088e7i | 0.124608 | + | 0.383503i | ||||
\(956\) | 1.71755e7 | 0.607805 | ||||||||
\(957\) | 1.13872e6 | + | 3.63896e6i | 0.0401919 | + | 0.128439i | ||||
\(958\) | 2.24539e7 | 0.790456 | ||||||||
\(959\) | 138053. | + | 424883.i | 0.00484729 | + | 0.0149184i | ||||
\(960\) | 914056. | + | 664101.i | 0.0320107 | + | 0.0232571i | ||||
\(961\) | 9.05261e6 | − | 6.57711e6i | 0.316203 | − | 0.229735i | ||||
\(962\) | −1.33258e7 | + | 4.10127e7i | −0.464255 | + | 1.42883i | ||||
\(963\) | −4.44873e6 | + | 1.36918e7i | −0.154586 | + | 0.475767i | ||||
\(964\) | −1.11265e7 | + | 8.08386e6i | −0.385625 | + | 0.280173i | ||||
\(965\) | 4.99092e6 | + | 3.62612e6i | 0.172529 | + | 0.125350i | ||||
\(966\) | 1603.72 | + | 4935.75i | 5.52950e−5 | + | 0.000170181i | ||||
\(967\) | 4.59896e6 | 0.158159 | 0.0790794 | − | 0.996868i | \(-0.474802\pi\) | ||||
0.0790794 | + | 0.996868i | \(0.474802\pi\) | |||||||
\(968\) | 1.03048e7 | + | 224402.i | 0.353470 | + | 0.00769729i | ||||
\(969\) | 7.59142e6 | 0.259725 | ||||||||
\(970\) | 6.33955e6 | + | 1.95111e7i | 0.216336 | + | 0.665814i | ||||
\(971\) | 1.96705e7 | + | 1.42914e7i | 0.669525 | + | 0.486438i | 0.869866 | − | 0.493288i | \(-0.164205\pi\) |
−0.200341 | + | 0.979726i | \(0.564205\pi\) | |||||||
\(972\) | −764346. | + | 555330.i | −0.0259492 | + | 0.0188532i | ||||
\(973\) | 100367. | − | 308898.i | 0.00339867 | − | 0.0104600i | ||||
\(974\) | 5.94858e6 | − | 1.83079e7i | 0.200917 | − | 0.618358i | ||||
\(975\) | −1.48946e7 | + | 1.08215e7i | −0.501784 | + | 0.364567i | ||||
\(976\) | 8.14916e6 | + | 5.92071e6i | 0.273835 | + | 0.198952i | ||||
\(977\) | 1.29140e6 | + | 3.97452e6i | 0.0432836 | + | 0.133213i | 0.970363 | − | 0.241652i | \(-0.0776891\pi\) |
−0.927079 | + | 0.374865i | \(0.877689\pi\) | |||||||
\(978\) | −7.19850e6 | −0.240655 | ||||||||
\(979\) | 6.68767e6 | + | 2.13714e7i | 0.223007 | + | 0.712650i | ||||
\(980\) | 8.24057e6 | 0.274089 | ||||||||
\(981\) | 500220. | + | 1.53952e6i | 0.0165954 | + | 0.0510755i | ||||
\(982\) | 1.26100e7 | + | 9.16169e6i | 0.417288 | + | 0.303177i | ||||
\(983\) | −3.02818e7 | + | 2.20010e7i | −0.999534 | + | 0.726204i | −0.961988 | − | 0.273091i | \(-0.911954\pi\) |
−0.0375461 | + | 0.999295i | \(0.511954\pi\) | |||||||
\(984\) | −236731. | + | 728583.i | −0.00779412 | + | 0.0239878i | ||||
\(985\) | −3.11596e6 | + | 9.58994e6i | −0.102330 | + | 0.314938i | ||||
\(986\) | 1.34740e6 | − | 978944.i | 0.0441372 | − | 0.0320675i | ||||
\(987\) | −115737. | − | 84087.8i | −0.00378163 | − | 0.00274752i | ||||
\(988\) | −9.89666e6 | − | 3.04588e7i | −0.322549 | − | 0.992705i | ||||
\(989\) | 1.60535e6 | 0.0521892 | ||||||||
\(990\) | −3.24932e6 | + | 2.30715e6i | −0.105367 | + | 0.0748148i | ||||
\(991\) | −4.60166e7 | −1.48844 | −0.744218 | − | 0.667937i | \(-0.767178\pi\) | ||||
−0.744218 | + | 0.667937i | \(0.767178\pi\) | |||||||
\(992\) | −1.32145e6 | − | 4.06699e6i | −0.0426354 | − | 0.131218i | ||||
\(993\) | 2.62049e7 | + | 1.90390e7i | 0.843354 | + | 0.612733i | ||||
\(994\) | 150476. | − | 109327.i | 0.00483059 | − | 0.00350963i | ||||
\(995\) | −6.90874e6 | + | 2.12629e7i | −0.221228 | + | 0.680871i | ||||
\(996\) | 4.52234e6 | − | 1.39183e7i | 0.144449 | − | 0.444569i | ||||
\(997\) | −2.01777e7 | + | 1.46600e7i | −0.642887 | + | 0.467085i | −0.860841 | − | 0.508874i | \(-0.830062\pi\) |
0.217954 | + | 0.975959i | \(0.430062\pi\) | |||||||
\(998\) | −2.67523e7 | − | 1.94367e7i | −0.850228 | − | 0.617727i | ||||
\(999\) | 2.59487e6 | + | 7.98617e6i | 0.0822623 | + | 0.253177i |
(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 | 66.6.e.a.49.1 | yes | 8 | |
3.2 | odd | 2 | 198.6.f.c.181.2 | 8 | |||
11.3 | even | 5 | 726.6.a.be.1.2 | 4 | |||
11.8 | odd | 10 | 726.6.a.bb.1.2 | 4 | |||
11.9 | even | 5 | inner | 66.6.e.a.31.1 | ✓ | 8 | |
33.20 | odd | 10 | 198.6.f.c.163.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
66.6.e.a.31.1 | ✓ | 8 | 11.9 | even | 5 | inner | |
66.6.e.a.49.1 | yes | 8 | 1.1 | even | 1 | trivial | |
198.6.f.c.163.2 | 8 | 33.20 | odd | 10 | |||
198.6.f.c.181.2 | 8 | 3.2 | odd | 2 | |||
726.6.a.bb.1.2 | 4 | 11.8 | odd | 10 | |||
726.6.a.be.1.2 | 4 | 11.3 | even | 5 |