Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,5,Mod(2,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("27.2");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.f (of order \(18\), degree \(6\), 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: | \(2.79098900326\) |
Analytic rank: | \(0\) |
Dimension: | \(66\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 5.7 | ||
Character | \(\chi\) | \(=\) | 27.5 |
Dual form | 27.5.f.a.11.7 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.868224 | + | 1.03471i | 0.217056 | + | 0.258677i | 0.863575 | − | 0.504221i | \(-0.168220\pi\) |
−0.646519 | + | 0.762898i | \(0.723776\pi\) | |||||||
\(3\) | −7.41018 | − | 5.10776i | −0.823354 | − | 0.567529i | ||||
\(4\) | 2.46156 | − | 13.9602i | 0.153848 | − | 0.872513i | ||||
\(5\) | −3.20330 | − | 8.80100i | −0.128132 | − | 0.352040i | 0.858994 | − | 0.511986i | \(-0.171090\pi\) |
−0.987126 | + | 0.159946i | \(0.948868\pi\) | |||||||
\(6\) | −1.14866 | − | 12.1021i | −0.0319071 | − | 0.336168i | ||||
\(7\) | −7.41386 | − | 42.0461i | −0.151303 | − | 0.858083i | −0.962088 | − | 0.272739i | \(-0.912070\pi\) |
0.810785 | − | 0.585344i | \(-0.199041\pi\) | |||||||
\(8\) | 35.2980 | − | 20.3793i | 0.551531 | − | 0.318427i | ||||
\(9\) | 28.8216 | + | 75.6988i | 0.355823 | + | 0.934554i | ||||
\(10\) | 6.32529 | − | 10.9557i | 0.0632529 | − | 0.109557i | ||||
\(11\) | −6.44259 | + | 17.7009i | −0.0532445 | + | 0.146288i | −0.963464 | − | 0.267838i | \(-0.913691\pi\) |
0.910219 | + | 0.414127i | \(0.135913\pi\) | |||||||
\(12\) | −89.5460 | + | 90.8746i | −0.621847 | + | 0.631074i | ||||
\(13\) | −37.7989 | − | 31.7171i | −0.223662 | − | 0.187675i | 0.524070 | − | 0.851675i | \(-0.324413\pi\) |
−0.747732 | + | 0.664000i | \(0.768857\pi\) | |||||||
\(14\) | 37.0686 | − | 44.1766i | 0.189125 | − | 0.225391i | ||||
\(15\) | −21.2163 | + | 81.5787i | −0.0942947 | + | 0.362572i | ||||
\(16\) | −161.398 | − | 58.7439i | −0.630459 | − | 0.229468i | ||||
\(17\) | 390.443 | + | 225.422i | 1.35101 | + | 0.780008i | 0.988391 | − | 0.151929i | \(-0.0485484\pi\) |
0.362622 | + | 0.931936i | \(0.381882\pi\) | |||||||
\(18\) | −53.3026 | + | 95.5455i | −0.164514 | + | 0.294894i | ||||
\(19\) | −57.0245 | − | 98.7692i | −0.157962 | − | 0.273599i | 0.776171 | − | 0.630522i | \(-0.217159\pi\) |
−0.934134 | + | 0.356923i | \(0.883826\pi\) | |||||||
\(20\) | −130.749 | + | 23.0546i | −0.326872 | + | 0.0576364i | ||||
\(21\) | −159.823 | + | 349.437i | −0.362411 | + | 0.792375i | ||||
\(22\) | −23.9089 | + | 8.70211i | −0.0493985 | + | 0.0179796i | ||||
\(23\) | 608.929 | + | 107.371i | 1.15109 | + | 0.202969i | 0.716454 | − | 0.697635i | \(-0.245764\pi\) |
0.434641 | + | 0.900604i | \(0.356875\pi\) | |||||||
\(24\) | −365.657 | − | 29.2792i | −0.634822 | − | 0.0508320i | ||||
\(25\) | 411.581 | − | 345.358i | 0.658530 | − | 0.552572i | ||||
\(26\) | − | 66.6484i | − | 0.0985923i | ||||||
\(27\) | 173.078 | − | 708.156i | 0.237418 | − | 0.971408i | ||||
\(28\) | −605.222 | −0.771967 | ||||||||
\(29\) | −179.539 | − | 213.967i | −0.213483 | − | 0.254419i | 0.648667 | − | 0.761072i | \(-0.275327\pi\) |
−0.862150 | + | 0.506653i | \(0.830882\pi\) | |||||||
\(30\) | −102.831 | + | 48.8759i | −0.114256 | + | 0.0543065i | ||||
\(31\) | 211.710 | − | 1200.67i | 0.220302 | − | 1.24939i | −0.651164 | − | 0.758937i | \(-0.725719\pi\) |
0.871465 | − | 0.490457i | \(-0.163170\pi\) | |||||||
\(32\) | −302.391 | − | 830.812i | −0.295303 | − | 0.811340i | ||||
\(33\) | 138.152 | − | 98.2595i | 0.126862 | − | 0.0902291i | ||||
\(34\) | 105.745 | + | 599.712i | 0.0914752 | + | 0.518782i | ||||
\(35\) | −346.299 | + | 199.936i | −0.282693 | + | 0.163213i | ||||
\(36\) | 1127.72 | − | 216.019i | 0.870152 | − | 0.166681i | ||||
\(37\) | −1105.90 | + | 1915.47i | −0.807816 | + | 1.39918i | 0.106558 | + | 0.994306i | \(0.466017\pi\) |
−0.914374 | + | 0.404871i | \(0.867316\pi\) | |||||||
\(38\) | 52.6874 | − | 144.758i | 0.0364871 | − | 0.100248i | ||||
\(39\) | 118.094 | + | 428.097i | 0.0776422 | + | 0.281458i | ||||
\(40\) | −292.429 | − | 245.377i | −0.182768 | − | 0.153360i | ||||
\(41\) | −348.778 | + | 415.658i | −0.207483 | + | 0.247268i | −0.859743 | − | 0.510727i | \(-0.829376\pi\) |
0.652260 | + | 0.757995i | \(0.273821\pi\) | |||||||
\(42\) | −500.328 | + | 138.019i | −0.283633 | + | 0.0782423i | ||||
\(43\) | 3152.26 | + | 1147.33i | 1.70485 | + | 0.620513i | 0.996363 | − | 0.0852133i | \(-0.0271572\pi\) |
0.708484 | + | 0.705727i | \(0.249379\pi\) | |||||||
\(44\) | 231.249 | + | 133.512i | 0.119447 | + | 0.0689626i | ||||
\(45\) | 573.901 | − | 496.145i | 0.283408 | − | 0.245010i | ||||
\(46\) | 417.590 | + | 723.286i | 0.197349 | + | 0.341818i | ||||
\(47\) | −3962.16 | + | 698.636i | −1.79364 | + | 0.316268i | −0.968567 | − | 0.248752i | \(-0.919980\pi\) |
−0.825077 | + | 0.565020i | \(0.808868\pi\) | |||||||
\(48\) | 895.936 | + | 1259.68i | 0.388861 | + | 0.546737i | ||||
\(49\) | 543.294 | − | 197.743i | 0.226278 | − | 0.0823585i | ||||
\(50\) | 714.690 | + | 126.019i | 0.285876 | + | 0.0504076i | ||||
\(51\) | −1741.85 | − | 3664.71i | −0.669685 | − | 1.40896i | ||||
\(52\) | −535.821 | + | 449.607i | −0.198159 | + | 0.166275i | ||||
\(53\) | 3918.45i | 1.39496i | 0.716603 | + | 0.697482i | \(0.245696\pi\) | ||||
−0.716603 | + | 0.697482i | \(0.754304\pi\) | |||||||
\(54\) | 883.006 | − | 435.753i | 0.302814 | − | 0.149435i | ||||
\(55\) | 176.423 | 0.0583216 | ||||||||
\(56\) | −1118.57 | − | 1333.05i | −0.356685 | − | 0.425081i | ||||
\(57\) | −81.9277 | + | 1023.17i | −0.0252163 | + | 0.314917i | ||||
\(58\) | 65.5128 | − | 371.542i | 0.0194747 | − | 0.110446i | ||||
\(59\) | −1539.61 | − | 4230.04i | −0.442290 | − | 1.21518i | −0.937982 | − | 0.346683i | \(-0.887308\pi\) |
0.495693 | − | 0.868498i | \(-0.334914\pi\) | |||||||
\(60\) | 1086.63 | + | 496.995i | 0.301842 | + | 0.138054i | ||||
\(61\) | 208.280 | + | 1181.21i | 0.0559742 | + | 0.317446i | 0.999920 | − | 0.0126552i | \(-0.00402839\pi\) |
−0.943946 | + | 0.330101i | \(0.892917\pi\) | |||||||
\(62\) | 1426.15 | − | 823.390i | 0.371008 | − | 0.214201i | ||||
\(63\) | 2969.16 | − | 1773.06i | 0.748088 | − | 0.446726i | ||||
\(64\) | −776.940 | + | 1345.70i | −0.189683 | + | 0.328540i | ||||
\(65\) | −158.060 | + | 434.267i | −0.0374108 | + | 0.102785i | ||||
\(66\) | 221.617 | + | 57.6364i | 0.0508763 | + | 0.0132315i | ||||
\(67\) | −2416.30 | − | 2027.52i | −0.538271 | − | 0.451663i | 0.332675 | − | 0.943042i | \(-0.392049\pi\) |
−0.870946 | + | 0.491378i | \(0.836493\pi\) | |||||||
\(68\) | 4108.04 | − | 4895.77i | 0.888417 | − | 1.05877i | ||||
\(69\) | −3963.85 | − | 3905.90i | −0.832567 | − | 0.820395i | ||||
\(70\) | −507.540 | − | 184.729i | −0.103580 | − | 0.0376999i | ||||
\(71\) | 2478.15 | + | 1430.76i | 0.491599 | + | 0.283825i | 0.725237 | − | 0.688499i | \(-0.241730\pi\) |
−0.233639 | + | 0.972323i | \(0.575063\pi\) | |||||||
\(72\) | 2560.04 | + | 2084.65i | 0.493834 | + | 0.402132i | ||||
\(73\) | −1176.80 | − | 2038.28i | −0.220830 | − | 0.382488i | 0.734231 | − | 0.678900i | \(-0.237543\pi\) |
−0.955060 | + | 0.296412i | \(0.904210\pi\) | |||||||
\(74\) | −2942.13 | + | 518.776i | −0.537277 | + | 0.0947364i | ||||
\(75\) | −4813.90 | + | 456.907i | −0.855804 | + | 0.0812278i | ||||
\(76\) | −1519.21 | + | 552.947i | −0.263021 | + | 0.0957317i | ||||
\(77\) | 792.017 | + | 139.654i | 0.133584 | + | 0.0235544i | ||||
\(78\) | −340.424 | + | 493.877i | −0.0559539 | + | 0.0811763i | ||||
\(79\) | 3852.86 | − | 3232.93i | 0.617347 | − | 0.518015i | −0.279622 | − | 0.960110i | \(-0.590209\pi\) |
0.896968 | + | 0.442095i | \(0.145765\pi\) | |||||||
\(80\) | 1608.63i | 0.251349i | ||||||||
\(81\) | −4899.63 | + | 4363.53i | −0.746781 | + | 0.665070i | ||||
\(82\) | −732.903 | −0.108998 | ||||||||
\(83\) | 7265.33 | + | 8658.48i | 1.05463 | + | 1.25686i | 0.965380 | + | 0.260846i | \(0.0840016\pi\) |
0.0892470 | + | 0.996010i | \(0.471554\pi\) | |||||||
\(84\) | 4484.80 | + | 3091.33i | 0.635601 | + | 0.438113i | ||||
\(85\) | 733.235 | − | 4158.38i | 0.101486 | − | 0.575555i | ||||
\(86\) | 1549.72 | + | 4257.81i | 0.209534 | + | 0.575691i | ||||
\(87\) | 237.530 | + | 2502.57i | 0.0313819 | + | 0.330635i | ||||
\(88\) | 133.321 | + | 756.101i | 0.0172160 | + | 0.0976370i | ||||
\(89\) | −982.504 | + | 567.249i | −0.124038 | + | 0.0716133i | −0.560735 | − | 0.827995i | \(-0.689481\pi\) |
0.436697 | + | 0.899609i | \(0.356148\pi\) | |||||||
\(90\) | 1011.64 | + | 163.055i | 0.124894 | + | 0.0201303i | ||||
\(91\) | −1053.34 | + | 1824.44i | −0.127200 | + | 0.220317i | ||||
\(92\) | 2997.83 | − | 8236.48i | 0.354186 | − | 0.973119i | ||||
\(93\) | −7701.53 | + | 7815.80i | −0.890453 | + | 0.903666i | ||||
\(94\) | −4162.93 | − | 3493.11i | −0.471133 | − | 0.395327i | ||||
\(95\) | −686.601 | + | 818.260i | −0.0760777 | + | 0.0906659i | ||||
\(96\) | −2002.81 | + | 7701.01i | −0.217319 | + | 0.835613i | ||||
\(97\) | 1751.37 | + | 637.447i | 0.186138 | + | 0.0677486i | 0.433407 | − | 0.901198i | \(-0.357311\pi\) |
−0.247270 | + | 0.968947i | \(0.579533\pi\) | |||||||
\(98\) | 676.307 | + | 390.466i | 0.0704193 | + | 0.0406566i | ||||
\(99\) | −1525.62 | + | 22.4713i | −0.155660 | + | 0.00229276i | ||||
\(100\) | −3808.13 | − | 6595.88i | −0.380813 | − | 0.659588i | ||||
\(101\) | −845.823 | + | 149.141i | −0.0829157 | + | 0.0146203i | −0.214952 | − | 0.976625i | \(-0.568960\pi\) |
0.132036 | + | 0.991245i | \(0.457848\pi\) | |||||||
\(102\) | 2279.59 | − | 4984.09i | 0.219107 | − | 0.479056i | ||||
\(103\) | 4752.33 | − | 1729.71i | 0.447952 | − | 0.163041i | −0.108187 | − | 0.994131i | \(-0.534504\pi\) |
0.556139 | + | 0.831089i | \(0.312282\pi\) | |||||||
\(104\) | −1980.60 | − | 349.233i | −0.183117 | − | 0.0322886i | ||||
\(105\) | 3587.36 | + | 287.250i | 0.325384 | + | 0.0260544i | ||||
\(106\) | −4054.46 | + | 3402.09i | −0.360845 | + | 0.302785i | ||||
\(107\) | − | 10768.0i | − | 0.940518i | −0.882529 | − | 0.470259i | \(-0.844161\pi\) | ||
0.882529 | − | 0.470259i | \(-0.155839\pi\) | |||||||
\(108\) | −9459.96 | − | 4159.37i | −0.811039 | − | 0.356599i | ||||
\(109\) | 2700.53 | 0.227298 | 0.113649 | − | 0.993521i | \(-0.463746\pi\) | ||||
0.113649 | + | 0.993521i | \(0.463746\pi\) | |||||||
\(110\) | 153.175 | + | 182.546i | 0.0126591 | + | 0.0150865i | ||||
\(111\) | 17978.7 | − | 8545.35i | 1.45919 | − | 0.693560i | ||||
\(112\) | −1273.37 | + | 7221.65i | −0.101512 | + | 0.575706i | ||||
\(113\) | 4381.95 | + | 12039.3i | 0.343171 | + | 0.942855i | 0.984468 | + | 0.175562i | \(0.0561744\pi\) |
−0.641297 | + | 0.767293i | \(0.721603\pi\) | |||||||
\(114\) | −1129.81 | + | 803.565i | −0.0869352 | + | 0.0618317i | ||||
\(115\) | −1005.61 | − | 5703.13i | −0.0760389 | − | 0.431238i | ||||
\(116\) | −3428.96 | + | 1979.71i | −0.254828 | + | 0.147125i | ||||
\(117\) | 1311.52 | − | 3775.47i | 0.0958082 | − | 0.275803i | ||||
\(118\) | 3040.14 | − | 5265.67i | 0.218338 | − | 0.378173i | ||||
\(119\) | 6583.44 | − | 18087.8i | 0.464899 | − | 1.27730i | ||||
\(120\) | 913.624 | + | 3311.94i | 0.0634461 | + | 0.229996i | ||||
\(121\) | 10943.8 | + | 9182.97i | 0.747479 | + | 0.627210i | ||||
\(122\) | −1041.38 | + | 1241.07i | −0.0699664 | + | 0.0833827i | ||||
\(123\) | 4707.59 | − | 1298.63i | 0.311163 | − | 0.0858368i | ||||
\(124\) | −16240.4 | − | 5911.03i | −1.05622 | − | 0.384433i | ||||
\(125\) | −9427.31 | − | 5442.86i | −0.603348 | − | 0.348343i | ||||
\(126\) | 4412.49 | + | 1532.81i | 0.277935 | + | 0.0965486i | ||||
\(127\) | 5755.85 | + | 9969.42i | 0.356863 | + | 0.618105i | 0.987435 | − | 0.158026i | \(-0.0505129\pi\) |
−0.630572 | + | 0.776131i | \(0.717180\pi\) | |||||||
\(128\) | −15998.2 | + | 2820.91i | −0.976450 | + | 0.172174i | ||||
\(129\) | −17498.6 | − | 24602.9i | −1.05153 | − | 1.47845i | ||||
\(130\) | −586.572 | + | 213.495i | −0.0347084 | + | 0.0126328i | ||||
\(131\) | −20719.2 | − | 3653.35i | −1.20734 | − | 0.212887i | −0.466471 | − | 0.884536i | \(-0.654475\pi\) |
−0.740869 | + | 0.671650i | \(0.765586\pi\) | |||||||
\(132\) | −1031.65 | − | 2170.51i | −0.0592087 | − | 0.124570i | ||||
\(133\) | −3730.09 | + | 3129.92i | −0.210871 | + | 0.176941i | ||||
\(134\) | − | 4260.51i | − | 0.237275i | ||||||
\(135\) | −6786.90 | + | 745.180i | −0.372395 | + | 0.0408878i | ||||
\(136\) | 18375.8 | 0.993502 | ||||||||
\(137\) | 21898.4 | + | 26097.6i | 1.16673 | + | 1.39046i | 0.905049 | + | 0.425307i | \(0.139834\pi\) |
0.261686 | + | 0.965153i | \(0.415722\pi\) | |||||||
\(138\) | 599.956 | − | 7492.63i | 0.0315037 | − | 0.393438i | ||||
\(139\) | −2943.24 | + | 16692.0i | −0.152334 | + | 0.863928i | 0.808849 | + | 0.588016i | \(0.200091\pi\) |
−0.961183 | + | 0.275912i | \(0.911020\pi\) | |||||||
\(140\) | 1938.71 | + | 5326.56i | 0.0989136 | + | 0.271763i | ||||
\(141\) | 32928.8 | + | 15060.7i | 1.65629 | + | 0.757544i | ||||
\(142\) | 671.168 | + | 3806.38i | 0.0332855 | + | 0.188771i | ||||
\(143\) | 804.942 | − | 464.734i | 0.0393634 | − | 0.0227265i | ||||
\(144\) | −204.895 | − | 13910.7i | −0.00988112 | − | 0.670848i | ||||
\(145\) | −1308.00 | + | 2265.52i | −0.0622117 | + | 0.107754i | ||||
\(146\) | 1087.30 | − | 2987.33i | 0.0510086 | − | 0.140145i | ||||
\(147\) | −5035.93 | − | 1309.70i | −0.233048 | − | 0.0606091i | ||||
\(148\) | 24018.2 | + | 20153.6i | 1.09652 | + | 0.920090i | ||||
\(149\) | −17955.5 | + | 21398.5i | −0.808768 | + | 0.963852i | −0.999843 | − | 0.0177231i | \(-0.994358\pi\) |
0.191075 | + | 0.981575i | \(0.438803\pi\) | |||||||
\(150\) | −4652.31 | − | 4584.29i | −0.206769 | − | 0.203746i | ||||
\(151\) | −3119.16 | − | 1135.28i | −0.136799 | − | 0.0497908i | 0.272713 | − | 0.962095i | \(-0.412079\pi\) |
−0.409512 | + | 0.912305i | \(0.634301\pi\) | |||||||
\(152\) | −4025.70 | − | 2324.24i | −0.174243 | − | 0.100599i | ||||
\(153\) | −5811.01 | + | 36053.1i | −0.248238 | + | 1.54014i | ||||
\(154\) | 543.147 | + | 940.758i | 0.0229021 | + | 0.0396676i | ||||
\(155\) | −11245.2 | + | 1982.84i | −0.468064 | + | 0.0825324i | ||||
\(156\) | 6267.02 | − | 594.828i | 0.257520 | − | 0.0244423i | ||||
\(157\) | −20046.5 | + | 7296.35i | −0.813280 | + | 0.296010i | −0.714978 | − | 0.699147i | \(-0.753563\pi\) |
−0.0983021 | + | 0.995157i | \(0.531341\pi\) | |||||||
\(158\) | 6690.29 | + | 1179.68i | 0.267998 | + | 0.0472552i | ||||
\(159\) | 20014.5 | − | 29036.4i | 0.791681 | − | 1.14855i | ||||
\(160\) | −6343.32 | + | 5322.68i | −0.247786 | + | 0.207917i | ||||
\(161\) | − | 26399.1i | − | 1.01845i | ||||||
\(162\) | −8768.95 | − | 1281.17i | −0.334132 | − | 0.0488176i | ||||
\(163\) | −3741.11 | −0.140807 | −0.0704036 | − | 0.997519i | \(-0.522429\pi\) | ||||
−0.0704036 | + | 0.997519i | \(0.522429\pi\) | |||||||
\(164\) | 4944.13 | + | 5892.18i | 0.183824 | + | 0.219073i | ||||
\(165\) | −1307.33 | − | 901.125i | −0.0480193 | − | 0.0330992i | ||||
\(166\) | −2651.08 | + | 15035.0i | −0.0962069 | + | 0.545616i | ||||
\(167\) | −4391.73 | − | 12066.2i | −0.157472 | − | 0.432650i | 0.835718 | − | 0.549159i | \(-0.185052\pi\) |
−0.993190 | + | 0.116509i | \(0.962830\pi\) | |||||||
\(168\) | 1479.86 | + | 15591.5i | 0.0524325 | + | 0.552421i | ||||
\(169\) | −4536.78 | − | 25729.4i | −0.158845 | − | 0.900856i | ||||
\(170\) | 4939.33 | − | 2851.72i | 0.170911 | − | 0.0986755i | ||||
\(171\) | 5833.18 | − | 7163.37i | 0.199486 | − | 0.244977i | ||||
\(172\) | 23776.4 | − | 41182.0i | 0.803693 | − | 1.39204i | ||||
\(173\) | 14623.8 | − | 40178.7i | 0.488618 | − | 1.34247i | −0.413314 | − | 0.910588i | \(-0.635629\pi\) |
0.901932 | − | 0.431878i | \(-0.142149\pi\) | |||||||
\(174\) | −2383.21 | + | 2418.57i | −0.0787161 | + | 0.0798840i | ||||
\(175\) | −17572.4 | − | 14745.0i | −0.573791 | − | 0.481468i | ||||
\(176\) | 2079.64 | − | 2478.41i | 0.0671370 | − | 0.0800108i | ||||
\(177\) | −10197.2 | + | 39209.4i | −0.325489 | + | 1.25154i | ||||
\(178\) | −1439.97 | − | 524.107i | −0.0454479 | − | 0.0165417i | ||||
\(179\) | −23006.7 | − | 13282.9i | −0.718040 | − | 0.414561i | 0.0959908 | − | 0.995382i | \(-0.469398\pi\) |
−0.814031 | + | 0.580822i | \(0.802731\pi\) | |||||||
\(180\) | −5513.60 | − | 9233.07i | −0.170173 | − | 0.284971i | ||||
\(181\) | −8497.75 | − | 14718.5i | −0.259386 | − | 0.449270i | 0.706692 | − | 0.707522i | \(-0.250187\pi\) |
−0.966078 | + | 0.258252i | \(0.916854\pi\) | |||||||
\(182\) | −2802.30 | + | 494.122i | −0.0846004 | + | 0.0149173i | ||||
\(183\) | 4489.97 | − | 9816.86i | 0.134073 | − | 0.293137i | ||||
\(184\) | 23682.1 | − | 8619.59i | 0.699496 | − | 0.254596i | ||||
\(185\) | 20400.6 | + | 3597.18i | 0.596074 | + | 0.105104i | ||||
\(186\) | −14773.7 | − | 1182.97i | −0.427036 | − | 0.0341940i | ||||
\(187\) | −6505.63 | + | 5458.87i | −0.186040 | + | 0.156106i | ||||
\(188\) | 57032.3i | 1.61363i | ||||||||
\(189\) | −31058.4 | − | 2027.07i | −0.869471 | − | 0.0567474i | ||||
\(190\) | −1442.78 | −0.0399663 | ||||||||
\(191\) | 33917.8 | + | 40421.7i | 0.929739 | + | 1.10802i | 0.993923 | + | 0.110082i | \(0.0351113\pi\) |
−0.0641834 | + | 0.997938i | \(0.520444\pi\) | |||||||
\(192\) | 12630.8 | − | 6003.46i | 0.342632 | − | 0.162854i | ||||
\(193\) | 8157.94 | − | 46266.0i | 0.219011 | − | 1.24207i | −0.654798 | − | 0.755804i | \(-0.727246\pi\) |
0.873809 | − | 0.486269i | \(-0.161643\pi\) | |||||||
\(194\) | 861.010 | + | 2365.61i | 0.0228773 | + | 0.0628549i | ||||
\(195\) | 3389.39 | − | 2410.67i | 0.0891358 | − | 0.0633969i | ||||
\(196\) | −1423.18 | − | 8071.25i | −0.0370465 | − | 0.210101i | ||||
\(197\) | 20705.7 | − | 11954.4i | 0.533528 | − | 0.308032i | −0.208924 | − | 0.977932i | \(-0.566996\pi\) |
0.742452 | + | 0.669899i | \(0.233663\pi\) | |||||||
\(198\) | −1347.83 | − | 1559.06i | −0.0343800 | − | 0.0397680i | ||||
\(199\) | −9654.27 | + | 16721.7i | −0.243789 | + | 0.422254i | −0.961790 | − | 0.273787i | \(-0.911724\pi\) |
0.718002 | + | 0.696041i | \(0.245057\pi\) | |||||||
\(200\) | 7489.85 | − | 20578.2i | 0.187246 | − | 0.514455i | ||||
\(201\) | 7549.16 | + | 27366.1i | 0.186856 | + | 0.677363i | ||||
\(202\) | −888.682 | − | 745.693i | −0.0217793 | − | 0.0182750i | ||||
\(203\) | −7665.38 | + | 9135.24i | −0.186012 | + | 0.221681i | ||||
\(204\) | −55447.7 | + | 15295.7i | −1.33237 | + | 0.367544i | ||||
\(205\) | 4775.45 | + | 1738.12i | 0.113633 | + | 0.0413592i | ||||
\(206\) | 5915.83 | + | 3415.50i | 0.139406 | + | 0.0804860i | ||||
\(207\) | 9422.50 | + | 49189.8i | 0.219900 | + | 1.14798i | ||||
\(208\) | 4237.47 | + | 7339.51i | 0.0979444 | + | 0.169645i | ||||
\(209\) | 2115.69 | − | 373.053i | 0.0484349 | − | 0.00854038i | ||||
\(210\) | 2817.41 | + | 3961.27i | 0.0638869 | + | 0.0898247i | ||||
\(211\) | −27331.4 | + | 9947.83i | −0.613900 | + | 0.223441i | −0.630209 | − | 0.776426i | \(-0.717031\pi\) |
0.0163089 | + | 0.999867i | \(0.494808\pi\) | |||||||
\(212\) | 54702.4 | + | 9645.51i | 1.21712 | + | 0.214612i | ||||
\(213\) | −11055.6 | − | 23260.0i | −0.243681 | − | 0.512684i | ||||
\(214\) | 11141.7 | − | 9349.02i | 0.243291 | − | 0.204145i | ||||
\(215\) | − | 31418.3i | − | 0.679682i | ||||||
\(216\) | −8322.44 | − | 28523.7i | −0.178379 | − | 0.611362i | ||||
\(217\) | −52053.0 | −1.10542 | ||||||||
\(218\) | 2344.67 | + | 2794.26i | 0.0493365 | + | 0.0587969i | ||||
\(219\) | −1690.72 | + | 21114.8i | −0.0352521 | + | 0.440250i | ||||
\(220\) | 434.276 | − | 2462.90i | 0.00897263 | − | 0.0508863i | ||||
\(221\) | −7608.58 | − | 20904.4i | −0.155783 | − | 0.428010i | ||||
\(222\) | 24451.5 | + | 11183.4i | 0.496134 | + | 0.226918i | ||||
\(223\) | 14655.3 | + | 83114.6i | 0.294704 | + | 1.67135i | 0.668403 | + | 0.743800i | \(0.266978\pi\) |
−0.373699 | + | 0.927550i | \(0.621911\pi\) | |||||||
\(224\) | −32690.5 | + | 18873.9i | −0.651517 | + | 0.376153i | ||||
\(225\) | 38005.6 | + | 21202.5i | 0.750728 | + | 0.418814i | ||||
\(226\) | −8652.67 | + | 14986.9i | −0.169408 | + | 0.293423i | ||||
\(227\) | 1755.16 | − | 4822.25i | 0.0340615 | − | 0.0935832i | −0.921496 | − | 0.388387i | \(-0.873032\pi\) |
0.955558 | + | 0.294804i | \(0.0952544\pi\) | |||||||
\(228\) | 14081.9 | + | 3662.31i | 0.270890 | + | 0.0704507i | ||||
\(229\) | −46872.0 | − | 39330.2i | −0.893804 | − | 0.749990i | 0.0751658 | − | 0.997171i | \(-0.476051\pi\) |
−0.968969 | + | 0.247181i | \(0.920496\pi\) | |||||||
\(230\) | 5027.98 | − | 5992.11i | 0.0950468 | − | 0.113272i | ||||
\(231\) | −5155.67 | − | 5080.29i | −0.0966187 | − | 0.0952060i | ||||
\(232\) | −10697.9 | − | 3893.71i | −0.198757 | − | 0.0723415i | ||||
\(233\) | 65323.4 | + | 37714.5i | 1.20325 | + | 0.694699i | 0.961277 | − | 0.275584i | \(-0.0888711\pi\) |
0.241976 | + | 0.970282i | \(0.422204\pi\) | |||||||
\(234\) | 5045.21 | − | 1920.91i | 0.0921398 | − | 0.0350814i | ||||
\(235\) | 18840.7 | + | 32633.0i | 0.341162 | + | 0.590910i | ||||
\(236\) | −62842.1 | + | 11080.8i | −1.12831 | + | 0.198951i | ||||
\(237\) | −45063.5 | + | 4277.16i | −0.802283 | + | 0.0761480i | ||||
\(238\) | 24431.5 | − | 8892.36i | 0.431318 | − | 0.156987i | ||||
\(239\) | −57194.9 | − | 10085.0i | −1.00129 | − | 0.176555i | −0.351112 | − | 0.936334i | \(-0.614196\pi\) |
−0.650182 | + | 0.759778i | \(0.725307\pi\) | |||||||
\(240\) | 8216.51 | − | 11920.3i | 0.142648 | − | 0.206949i | ||||
\(241\) | 54221.6 | − | 45497.3i | 0.933552 | − | 0.783343i | −0.0428999 | − | 0.999079i | \(-0.513660\pi\) |
0.976452 | + | 0.215736i | \(0.0692152\pi\) | |||||||
\(242\) | 19296.6i | 0.329495i | ||||||||
\(243\) | 58595.0 | − | 7308.43i | 0.992311 | − | 0.123769i | ||||
\(244\) | 17002.7 | 0.285587 | ||||||||
\(245\) | −3480.67 | − | 4148.10i | −0.0579869 | − | 0.0691061i | ||||
\(246\) | 5430.94 | + | 3743.49i | 0.0897439 | + | 0.0618595i | ||||
\(247\) | −977.207 | + | 5542.02i | −0.0160174 | + | 0.0908394i | ||||
\(248\) | −16995.8 | − | 46695.7i | −0.276337 | − | 0.759230i | ||||
\(249\) | −9611.99 | − | 101270.i | −0.155030 | − | 1.63337i | ||||
\(250\) | −2553.24 | − | 14480.1i | −0.0408519 | − | 0.231682i | ||||
\(251\) | −8013.71 | + | 4626.72i | −0.127200 | + | 0.0734388i | −0.562250 | − | 0.826967i | \(-0.690064\pi\) |
0.435050 | + | 0.900406i | \(0.356731\pi\) | |||||||
\(252\) | −17443.5 | − | 45814.6i | −0.274683 | − | 0.721444i | ||||
\(253\) | −5823.63 | + | 10086.8i | −0.0909815 | + | 0.157585i | ||||
\(254\) | −5318.09 | + | 14611.3i | −0.0824305 | + | 0.226476i | ||||
\(255\) | −26673.4 | + | 27069.2i | −0.410202 | + | 0.416289i | ||||
\(256\) | 2236.65 | + | 1876.78i | 0.0341286 | + | 0.0286373i | ||||
\(257\) | 51197.8 | − | 61015.2i | 0.775149 | − | 0.923787i | −0.223554 | − | 0.974692i | \(-0.571766\pi\) |
0.998704 | + | 0.0509044i | \(0.0162104\pi\) | |||||||
\(258\) | 10264.2 | − | 39466.7i | 0.154200 | − | 0.592914i | ||||
\(259\) | 88737.2 | + | 32297.7i | 1.32284 | + | 0.481473i | ||||
\(260\) | 5673.39 | + | 3275.53i | 0.0839259 | + | 0.0484546i | ||||
\(261\) | 11022.4 | − | 19757.8i | 0.161806 | − | 0.290039i | ||||
\(262\) | −14208.7 | − | 24610.2i | −0.206992 | − | 0.358520i | ||||
\(263\) | −112009. | + | 19750.3i | −1.61936 | + | 0.285537i | −0.908527 | − | 0.417826i | \(-0.862792\pi\) |
−0.710831 | + | 0.703363i | \(0.751681\pi\) | |||||||
\(264\) | 2874.05 | − | 6283.82i | 0.0412369 | − | 0.0901604i | ||||
\(265\) | 34486.3 | − | 12552.0i | 0.491083 | − | 0.178739i | ||||
\(266\) | −6477.11 | − | 1142.09i | −0.0915414 | − | 0.0161412i | ||||
\(267\) | 10177.9 | + | 814.974i | 0.142770 | + | 0.0114320i | ||||
\(268\) | −34252.4 | + | 28741.2i | −0.476894 | + | 0.400161i | ||||
\(269\) | 225.820i | 0.00312074i | 0.999999 | + | 0.00156037i | \(0.000496682\pi\) | ||||
−0.999999 | + | 0.00156037i | \(0.999503\pi\) | |||||||
\(270\) | −6663.59 | − | 6375.48i | −0.0914073 | − | 0.0874552i | ||||
\(271\) | −23425.8 | −0.318974 | −0.159487 | − | 0.987200i | \(-0.550984\pi\) | ||||
−0.159487 | + | 0.987200i | \(0.550984\pi\) | |||||||
\(272\) | −49774.3 | − | 59318.7i | −0.672771 | − | 0.801778i | ||||
\(273\) | 17124.3 | − | 8139.24i | 0.229767 | − | 0.109209i | ||||
\(274\) | −7990.62 | + | 45317.0i | −0.106434 | + | 0.603616i | ||||
\(275\) | 3461.48 | + | 9510.34i | 0.0457717 | + | 0.125757i | ||||
\(276\) | −64284.4 | + | 45721.6i | −0.843893 | + | 0.600210i | ||||
\(277\) | −5680.28 | − | 32214.5i | −0.0740304 | − | 0.419847i | −0.999189 | − | 0.0402664i | \(-0.987179\pi\) |
0.925159 | − | 0.379581i | \(-0.123932\pi\) | |||||||
\(278\) | −19826.7 | + | 11447.0i | −0.256544 | + | 0.148115i | ||||
\(279\) | 96991.0 | − | 18579.0i | 1.24601 | − | 0.238679i | ||||
\(280\) | −8149.10 | + | 14114.7i | −0.103943 | + | 0.180034i | ||||
\(281\) | −18690.8 | + | 51352.6i | −0.236710 | + | 0.650355i | 0.763281 | + | 0.646067i | \(0.223587\pi\) |
−0.999991 | + | 0.00428802i | \(0.998635\pi\) | |||||||
\(282\) | 13006.1 | + | 47147.8i | 0.163549 | + | 0.592875i | ||||
\(283\) | 39160.2 | + | 32859.3i | 0.488959 | + | 0.410285i | 0.853653 | − | 0.520842i | \(-0.174382\pi\) |
−0.364694 | + | 0.931127i | \(0.618827\pi\) | |||||||
\(284\) | 26073.8 | − | 31073.6i | 0.323272 | − | 0.385260i | ||||
\(285\) | 9267.31 | − | 2556.46i | 0.114094 | − | 0.0314738i | ||||
\(286\) | 1179.73 | + | 429.388i | 0.0144229 | + | 0.00524950i | ||||
\(287\) | 20062.6 | + | 11583.1i | 0.243570 | + | 0.140625i | ||||
\(288\) | 54176.1 | − | 46836.0i | 0.653165 | − | 0.564670i | ||||
\(289\) | 59869.9 | + | 103698.i | 0.716824 | + | 1.24158i | ||||
\(290\) | −3479.80 | + | 613.582i | −0.0413769 | + | 0.00729586i | ||||
\(291\) | −9722.06 | − | 13669.2i | −0.114808 | − | 0.161420i | ||||
\(292\) | −31351.6 | + | 11411.0i | −0.367700 | + | 0.133832i | ||||
\(293\) | −16271.7 | − | 2869.13i | −0.189538 | − | 0.0334207i | 0.0780733 | − | 0.996948i | \(-0.475123\pi\) |
−0.267611 | + | 0.963527i | \(0.586234\pi\) | |||||||
\(294\) | −3017.15 | − | 6347.83i | −0.0349062 | − | 0.0734397i | ||||
\(295\) | −32296.8 | + | 27100.2i | −0.371121 | + | 0.311407i | ||||
\(296\) | 90149.9i | 1.02892i | ||||||||
\(297\) | 11419.9 | + | 7625.98i | 0.129464 | + | 0.0864536i | ||||
\(298\) | −37730.6 | −0.424875 | ||||||||
\(299\) | −19611.4 | − | 23371.9i | −0.219364 | − | 0.261428i | ||||
\(300\) | −5471.19 | + | 68327.7i | −0.0607910 | + | 0.759197i | ||||
\(301\) | 24870.3 | − | 141046.i | 0.274503 | − | 1.55679i | ||||
\(302\) | −1533.44 | − | 4213.09i | −0.0168133 | − | 0.0461942i | ||||
\(303\) | 7029.48 | + | 3215.09i | 0.0765664 | + | 0.0350194i | ||||
\(304\) | 3401.52 | + | 19291.0i | 0.0368066 | + | 0.208740i | ||||
\(305\) | 9728.68 | − | 5616.86i | 0.104581 | − | 0.0603801i | ||||
\(306\) | −42349.7 | + | 25289.5i | −0.452280 | + | 0.270083i | ||||
\(307\) | −51266.0 | + | 88795.3i | −0.543942 | + | 0.942135i | 0.454731 | + | 0.890629i | \(0.349735\pi\) |
−0.998673 | + | 0.0515059i | \(0.983598\pi\) | |||||||
\(308\) | 3899.19 | − | 10712.9i | 0.0411030 | − | 0.112930i | ||||
\(309\) | −44050.5 | − | 11456.3i | −0.461354 | − | 0.119985i | ||||
\(310\) | −11815.1 | − | 9914.01i | −0.122945 | − | 0.103163i | ||||
\(311\) | −19903.6 | + | 23720.2i | −0.205784 | + | 0.245243i | −0.859058 | − | 0.511877i | \(-0.828950\pi\) |
0.653275 | + | 0.757121i | \(0.273395\pi\) | |||||||
\(312\) | 12892.8 | + | 12704.3i | 0.132446 | + | 0.130509i | ||||
\(313\) | 60314.9 | + | 21952.8i | 0.615652 | + | 0.224079i | 0.630975 | − | 0.775803i | \(-0.282655\pi\) |
−0.0153222 | + | 0.999883i | \(0.504877\pi\) | |||||||
\(314\) | −24954.5 | − | 14407.5i | −0.253098 | − | 0.146126i | ||||
\(315\) | −25115.8 | − | 20451.9i | −0.253120 | − | 0.206117i | ||||
\(316\) | −35648.4 | − | 61744.8i | −0.356998 | − | 0.618338i | ||||
\(317\) | 99398.3 | − | 17526.6i | 0.989146 | − | 0.174413i | 0.344411 | − | 0.938819i | \(-0.388079\pi\) |
0.644735 | + | 0.764406i | \(0.276968\pi\) | |||||||
\(318\) | 47421.3 | − | 4500.95i | 0.468942 | − | 0.0445092i | ||||
\(319\) | 4944.09 | − | 1799.50i | 0.0485853 | − | 0.0176836i | ||||
\(320\) | 14332.3 | + | 2527.17i | 0.139964 | + | 0.0246794i | ||||
\(321\) | −55000.3 | + | 79792.8i | −0.533771 | + | 0.774379i | ||||
\(322\) | 27315.4 | − | 22920.4i | 0.263449 | − | 0.221060i | ||||
\(323\) | − | 51418.3i | − | 0.492848i | ||||||
\(324\) | 48855.0 | + | 79140.9i | 0.465392 | + | 0.753895i | ||||
\(325\) | −26511.1 | −0.250992 | ||||||||
\(326\) | −3248.12 | − | 3870.96i | −0.0305630 | − | 0.0364236i | ||||
\(327\) | −20011.4 | − | 13793.7i | −0.187147 | − | 0.128998i | ||||
\(328\) | −3840.36 | + | 21779.8i | −0.0356964 | + | 0.202444i | ||||
\(329\) | 58749.8 | + | 161414.i | 0.542769 | + | 1.49124i | ||||
\(330\) | −202.649 | − | 2135.08i | −0.00186087 | − | 0.0196059i | ||||
\(331\) | −194.082 | − | 1100.69i | −0.00177145 | − | 0.0100464i | 0.983909 | − | 0.178669i | \(-0.0571792\pi\) |
−0.985681 | + | 0.168623i | \(0.946068\pi\) | |||||||
\(332\) | 138758. | − | 80112.1i | 1.25887 | − | 0.726812i | ||||
\(333\) | −176873. | − | 28508.2i | −1.59505 | − | 0.257088i | ||||
\(334\) | 8671.99 | − | 15020.3i | 0.0777366 | − | 0.134644i | ||||
\(335\) | −10104.0 | + | 27760.6i | −0.0900337 | + | 0.247366i | ||||
\(336\) | 46322.4 | − | 47009.7i | 0.410310 | − | 0.416398i | ||||
\(337\) | −93620.4 | − | 78556.9i | −0.824349 | − | 0.691711i | 0.129637 | − | 0.991561i | \(-0.458619\pi\) |
−0.953986 | + | 0.299851i | \(0.903063\pi\) | |||||||
\(338\) | 22683.5 | − | 27033.1i | 0.198553 | − | 0.236626i | ||||
\(339\) | 29022.8 | − | 111595.i | 0.252546 | − | 0.971062i | ||||
\(340\) | −56247.0 | − | 20472.2i | −0.486565 | − | 0.177095i | ||||
\(341\) | 19888.9 | + | 11482.9i | 0.171042 | + | 0.0987510i | ||||
\(342\) | 12476.5 | − | 183.770i | 0.106670 | − | 0.00157117i | ||||
\(343\) | −63597.2 | − | 110154.i | −0.540567 | − | 0.936290i | ||||
\(344\) | 134650. | − | 23742.5i | 1.13786 | − | 0.200636i | ||||
\(345\) | −21678.4 | + | 47397.6i | −0.182133 | + | 0.398216i | ||||
\(346\) | 54270.0 | − | 19752.7i | 0.453323 | − | 0.164996i | ||||
\(347\) | −18668.4 | − | 3291.75i | −0.155042 | − | 0.0273381i | 0.0955884 | − | 0.995421i | \(-0.469527\pi\) |
−0.250630 | + | 0.968083i | \(0.580638\pi\) | |||||||
\(348\) | 35521.1 | + | 2844.28i | 0.293311 | + | 0.0234862i | ||||
\(349\) | 95678.3 | − | 80283.6i | 0.785530 | − | 0.659138i | −0.159105 | − | 0.987262i | \(-0.550861\pi\) |
0.944635 | + | 0.328124i | \(0.106416\pi\) | |||||||
\(350\) | − | 30984.2i | − | 0.252932i | ||||||
\(351\) | −29002.8 | + | 21278.0i | −0.235410 | + | 0.172710i | ||||
\(352\) | 16654.3 | 0.134413 | ||||||||
\(353\) | −25396.8 | − | 30266.7i | −0.203812 | − | 0.242893i | 0.654450 | − | 0.756105i | \(-0.272900\pi\) |
−0.858262 | + | 0.513212i | \(0.828456\pi\) | |||||||
\(354\) | −49423.8 | + | 23491.3i | −0.394393 | + | 0.187457i | ||||
\(355\) | 4653.86 | − | 26393.3i | 0.0369281 | − | 0.209429i | ||||
\(356\) | 5500.42 | + | 15112.3i | 0.0434006 | + | 0.119242i | ||||
\(357\) | −141173. | + | 100408.i | −1.10768 | + | 0.787826i | ||||
\(358\) | −6231.01 | − | 35337.8i | −0.0486175 | − | 0.275723i | ||||
\(359\) | −89204.5 | + | 51502.2i | −0.692146 | + | 0.399611i | −0.804415 | − | 0.594067i | \(-0.797521\pi\) |
0.112269 | + | 0.993678i | \(0.464188\pi\) | |||||||
\(360\) | 10146.5 | − | 29208.7i | 0.0782906 | − | 0.225375i | ||||
\(361\) | 58656.9 | − | 101597.i | 0.450096 | − | 0.779589i | ||||
\(362\) | 7851.45 | − | 21571.7i | 0.0599146 | − | 0.164614i | ||||
\(363\) | −34191.5 | − | 123946.i | −0.259480 | − | 0.940631i | ||||
\(364\) | 22876.7 | + | 19195.9i | 0.172660 | + | 0.144879i | ||||
\(365\) | −14169.2 | + | 16886.2i | −0.106356 | + | 0.126750i | ||||
\(366\) | 14055.9 | − | 3877.43i | 0.104929 | − | 0.0289455i | ||||
\(367\) | −189399. | − | 68935.5i | −1.40619 | − | 0.511812i | −0.476183 | − | 0.879346i | \(-0.657980\pi\) |
−0.930010 | + | 0.367534i | \(0.880202\pi\) | |||||||
\(368\) | −91972.3 | − | 53100.2i | −0.679143 | − | 0.392104i | ||||
\(369\) | −41517.2 | − | 14422.2i | −0.304912 | − | 0.105920i | ||||
\(370\) | 13990.3 | + | 24231.9i | 0.102193 | + | 0.177004i | ||||
\(371\) | 164756. | − | 29050.8i | 1.19699 | − | 0.211062i | ||||
\(372\) | 90152.5 | + | 126754.i | 0.651466 | + | 0.915959i | ||||
\(373\) | −100938. | + | 36738.3i | −0.725497 | + | 0.264059i | −0.678257 | − | 0.734824i | \(-0.737265\pi\) |
−0.0472394 | + | 0.998884i | \(0.515042\pi\) | |||||||
\(374\) | −11296.7 | − | 1991.91i | −0.0807622 | − | 0.0142405i | ||||
\(375\) | 42057.3 | + | 88485.0i | 0.299074 | + | 0.629227i | ||||
\(376\) | −125619. | + | 105407.i | −0.888543 | + | 0.745576i | ||||
\(377\) | 13782.2i | 0.0969694i | ||||||||
\(378\) | −24868.2 | − | 33896.3i | −0.174045 | − | 0.237230i | ||||
\(379\) | 221758. | 1.54384 | 0.771918 | − | 0.635722i | \(-0.219297\pi\) | ||||
0.771918 | + | 0.635722i | \(0.219297\pi\) | |||||||
\(380\) | 9732.96 | + | 11599.3i | 0.0674028 | + | 0.0803275i | ||||
\(381\) | 8269.50 | − | 103275.i | 0.0569678 | − | 0.711450i | ||||
\(382\) | −12376.4 | + | 70190.1i | −0.0848141 | + | 0.481005i | ||||
\(383\) | −42635.0 | − | 117139.i | −0.290649 | − | 0.798552i | −0.995972 | − | 0.0896658i | \(-0.971420\pi\) |
0.705323 | − | 0.708886i | \(-0.250802\pi\) | |||||||
\(384\) | 132958. | + | 60811.3i | 0.901678 | + | 0.412403i | ||||
\(385\) | −1307.97 | − | 7417.89i | −0.00882425 | − | 0.0500448i | ||||
\(386\) | 54954.8 | − | 31728.1i | 0.368834 | − | 0.212946i | ||||
\(387\) | 4001.81 | + | 271690.i | 0.0267199 | + | 1.81406i | ||||
\(388\) | 13210.0 | − | 22880.4i | 0.0877484 | − | 0.151985i | ||||
\(389\) | −74280.1 | + | 204083.i | −0.490877 | + | 1.34867i | 0.409001 | + | 0.912534i | \(0.365877\pi\) |
−0.899878 | + | 0.436141i | \(0.856345\pi\) | |||||||
\(390\) | 5437.09 | + | 1414.03i | 0.0357468 | + | 0.00929673i | ||||
\(391\) | 213548. | + | 179188.i | 1.39683 | + | 1.17208i | ||||
\(392\) | 15147.3 | − | 18051.9i | 0.0985743 | − | 0.117476i | ||||
\(393\) | 134872. | + | 132900.i | 0.873249 | + | 0.860481i | ||||
\(394\) | 30346.5 | + | 11045.2i | 0.195486 | + | 0.0711512i | ||||
\(395\) | −40794.9 | − | 23553.0i | −0.261464 | − | 0.150956i | ||||
\(396\) | −3441.70 | + | 21353.3i | −0.0219474 | + | 0.136168i | ||||
\(397\) | −59824.4 | − | 103619.i | −0.379575 | − | 0.657443i | 0.611426 | − | 0.791302i | \(-0.290596\pi\) |
−0.991000 | + | 0.133859i | \(0.957263\pi\) | |||||||
\(398\) | −25684.2 | + | 4528.81i | −0.162143 | + | 0.0285903i | ||||
\(399\) | 43627.5 | − | 4140.86i | 0.274040 | − | 0.0260103i | ||||
\(400\) | −86715.9 | + | 31562.0i | −0.541974 | + | 0.197262i | ||||
\(401\) | 78697.1 | + | 13876.4i | 0.489407 | + | 0.0862956i | 0.412906 | − | 0.910774i | \(-0.364514\pi\) |
0.0765013 | + | 0.997069i | \(0.475625\pi\) | |||||||
\(402\) | −21761.6 | + | 31571.1i | −0.134660 | + | 0.195361i | ||||
\(403\) | −46084.1 | + | 38669.1i | −0.283753 | + | 0.238097i | ||||
\(404\) | 12175.0i | 0.0745943i | ||||||||
\(405\) | 54098.4 | + | 29143.9i | 0.329818 | + | 0.177680i | ||||
\(406\) | −16107.6 | −0.0977188 | ||||||||
\(407\) | −26780.7 | − | 31916.0i | −0.161671 | − | 0.192672i | ||||
\(408\) | −136168. | − | 93859.2i | −0.818003 | − | 0.563841i | ||||
\(409\) | −44493.9 | + | 252337.i | −0.265983 | + | 1.50846i | 0.500239 | + | 0.865887i | \(0.333245\pi\) |
−0.766222 | + | 0.642576i | \(0.777866\pi\) | |||||||
\(410\) | 2347.71 | + | 6450.27i | 0.0139661 | + | 0.0383716i | ||||
\(411\) | −28971.5 | − | 305240.i | −0.171509 | − | 1.80700i | ||||
\(412\) | −12448.9 | − | 70601.2i | −0.0733393 | − | 0.415928i | ||||
\(413\) | −166442. | + | 96095.6i | −0.975807 | + | 0.563382i | ||||
\(414\) | −42716.3 | + | 52457.3i | −0.249226 | + | 0.306059i | ||||
\(415\) | 52930.2 | − | 91677.9i | 0.307332 | − | 0.532314i | ||||
\(416\) | −14920.9 | + | 40994.7i | −0.0862198 | + | 0.236887i | ||||
\(417\) | 107068. | − | 108657.i | 0.615729 | − | 0.624865i | ||||
\(418\) | 2222.89 | + | 1865.23i | 0.0127223 | + | 0.0106753i | ||||
\(419\) | −194699. | + | 232033.i | −1.10901 | + | 1.32167i | −0.167048 | + | 0.985949i | \(0.553423\pi\) |
−0.941962 | + | 0.335718i | \(0.891021\pi\) | |||||||
\(420\) | 12840.6 | − | 49373.2i | 0.0727924 | − | 0.279893i | ||||
\(421\) | −61184.4 | − | 22269.3i | −0.345205 | − | 0.125644i | 0.163599 | − | 0.986527i | \(-0.447690\pi\) |
−0.508803 | + | 0.860883i | \(0.669912\pi\) | |||||||
\(422\) | −34022.9 | − | 19643.1i | −0.191050 | − | 0.110303i | ||||
\(423\) | −167082. | − | 279795.i | −0.933788 | − | 1.56372i | ||||
\(424\) | 79855.4 | + | 138314.i | 0.444194 | + | 0.769366i | ||||
\(425\) | 238550. | − | 42062.9i | 1.32069 | − | 0.232874i | ||||
\(426\) | 14468.6 | − | 31634.2i | 0.0797274 | − | 0.174316i | ||||
\(427\) | 48121.3 | − | 17514.7i | 0.263926 | − | 0.0960611i | ||||
\(428\) | −150323. | − | 26506.1i | −0.820614 | − | 0.144696i | ||||
\(429\) | −8338.52 | − | 667.688i | −0.0453079 | − | 0.00362793i | ||||
\(430\) | 32508.8 | − | 27278.1i | 0.175818 | − | 0.147529i | ||||
\(431\) | − | 247253.i | − | 1.33103i | −0.746385 | − | 0.665514i | \(-0.768212\pi\) | ||
0.746385 | − | 0.665514i | \(-0.231788\pi\) | |||||||
\(432\) | −69534.2 | + | 104127.i | −0.372590 | + | 0.557953i | ||||
\(433\) | 229960. | 1.22652 | 0.613262 | − | 0.789880i | \(-0.289857\pi\) | ||||
0.613262 | + | 0.789880i | \(0.289857\pi\) | |||||||
\(434\) | −45193.6 | − | 53859.7i | −0.239937 | − | 0.285946i | ||||
\(435\) | 21264.3 | − | 10107.0i | 0.112376 | − | 0.0534126i | ||||
\(436\) | 6647.52 | − | 37700.0i | 0.0349693 | − | 0.198321i | ||||
\(437\) | −24118.9 | − | 66266.2i | −0.126298 | − | 0.347000i | ||||
\(438\) | −23315.6 | + | 16583.0i | −0.121534 | + | 0.0864400i | ||||
\(439\) | 13862.8 | + | 78620.1i | 0.0719322 | + | 0.407948i | 0.999419 | + | 0.0340912i | \(0.0108537\pi\) |
−0.927487 | + | 0.373857i | \(0.878035\pi\) | |||||||
\(440\) | 6227.38 | − | 3595.38i | 0.0321662 | − | 0.0185712i | ||||
\(441\) | 30627.5 | + | 35427.4i | 0.157483 | + | 0.182164i | ||||
\(442\) | 15024.0 | − | 26022.4i | 0.0769028 | − | 0.133199i | ||||
\(443\) | −37093.8 | + | 101914.i | −0.189014 | + | 0.519312i | −0.997613 | − | 0.0690480i | \(-0.978004\pi\) |
0.808599 | + | 0.588360i | \(0.200226\pi\) | |||||||
\(444\) | −75039.2 | − | 272021.i | −0.380647 | − | 1.37987i | ||||
\(445\) | 8139.62 | + | 6829.95i | 0.0411040 | + | 0.0344903i | ||||
\(446\) | −73275.3 | + | 87326.1i | −0.368373 | + | 0.439010i | ||||
\(447\) | 242352. | − | 66854.6i | 1.21292 | − | 0.334592i | ||||
\(448\) | 62341.5 | + | 22690.5i | 0.310614 | + | 0.113054i | ||||
\(449\) | 26892.6 | + | 15526.5i | 0.133395 | + | 0.0770158i | 0.565213 | − | 0.824945i | \(-0.308794\pi\) |
−0.431817 | + | 0.901961i | \(0.642127\pi\) | |||||||
\(450\) | 11059.0 | + | 57733.2i | 0.0546124 | + | 0.285102i | ||||
\(451\) | −5110.47 | − | 8851.59i | −0.0251251 | − | 0.0435179i | ||||
\(452\) | 178858. | − | 31537.4i | 0.875449 | − | 0.154365i | ||||
\(453\) | 17314.8 | + | 24344.5i | 0.0843763 | + | 0.118633i | ||||
\(454\) | 6513.49 | − | 2370.72i | 0.0316011 | − | 0.0115019i | ||||
\(455\) | 19431.1 | + | 3426.22i | 0.0938586 | + | 0.0165498i | ||||
\(456\) | 17959.5 | + | 37785.3i | 0.0863704 | + | 0.181716i | ||||
\(457\) | −126339. | + | 106011.i | −0.604930 | + | 0.507597i | −0.893026 | − | 0.450005i | \(-0.851422\pi\) |
0.288096 | + | 0.957602i | \(0.406978\pi\) | |||||||
\(458\) | − | 82646.3i | − | 0.393996i | ||||||
\(459\) | 227211. | − | 237479.i | 1.07846 | − | 1.12720i | ||||
\(460\) | −82092.2 | −0.387959 | ||||||||
\(461\) | −188614. | − | 224781.i | −0.887507 | − | 1.05769i | −0.997962 | − | 0.0638087i | \(-0.979675\pi\) |
0.110455 | − | 0.993881i | \(-0.464769\pi\) | |||||||
\(462\) | 780.345 | − | 9745.45i | 0.00365597 | − | 0.0456581i | ||||
\(463\) | −12545.1 | + | 71146.6i | −0.0585209 | + | 0.331889i | −0.999986 | − | 0.00522092i | \(-0.998338\pi\) |
0.941465 | + | 0.337109i | \(0.109449\pi\) | |||||||
\(464\) | 16408.0 | + | 45080.5i | 0.0762112 | + | 0.209389i | ||||
\(465\) | 93457.2 | + | 42744.8i | 0.432222 | + | 0.197687i | ||||
\(466\) | 17691.8 | + | 100335.i | 0.0814706 | + | 0.462043i | ||||
\(467\) | 35163.8 | − | 20301.9i | 0.161236 | − | 0.0930898i | −0.417211 | − | 0.908810i | \(-0.636992\pi\) |
0.578447 | + | 0.815720i | \(0.303659\pi\) | |||||||
\(468\) | −49478.0 | − | 27602.6i | −0.225902 | − | 0.126026i | ||||
\(469\) | −67335.0 | + | 116628.i | −0.306123 | + | 0.530220i | ||||
\(470\) | −17407.7 | + | 47827.4i | −0.0788038 | + | 0.216512i | ||||
\(471\) | 185817. | + | 48325.6i | 0.837611 | + | 0.217839i | ||||
\(472\) | −140551. | − | 117936.i | −0.630883 | − | 0.529374i | ||||
\(473\) | −40617.4 | + | 48406.0i | −0.181548 | + | 0.216360i | ||||
\(474\) | −43550.8 | − | 42914.0i | −0.193838 | − | 0.191004i | ||||
\(475\) | −57580.9 | − | 20957.7i | −0.255206 | − | 0.0928875i | ||||
\(476\) | −236304. | − | 136430.i | −1.04294 | − | 0.602140i | ||||
\(477\) | −296622. | + | 112936.i | −1.30367 | + | 0.496359i | ||||
\(478\) | −39222.9 | − | 67936.1i | −0.171666 | − | 0.297334i | ||||
\(479\) | 54719.7 | − | 9648.55i | 0.238491 | − | 0.0420524i | −0.0531249 | − | 0.998588i | \(-0.516918\pi\) |
0.291616 | + | 0.956535i | \(0.405807\pi\) | |||||||
\(480\) | 74192.2 | − | 7041.88i | 0.322015 | − | 0.0305637i | ||||
\(481\) | 102555. | − | 37327.0i | 0.443268 | − | 0.161337i | ||||
\(482\) | 94153.0 | + | 16601.7i | 0.405266 | + | 0.0714593i | ||||
\(483\) | −134840. | + | 195622.i | −0.577997 | + | 0.838541i | ||||
\(484\) | 155135. | − | 130174.i | 0.662246 | − | 0.555691i | ||||
\(485\) | − | 17455.7i | − | 0.0742087i | ||||||
\(486\) | 58435.7 | + | 54283.4i | 0.247403 | + | 0.229824i | ||||
\(487\) | −138957. | −0.585898 | −0.292949 | − | 0.956128i | \(-0.594637\pi\) | ||||
−0.292949 | + | 0.956128i | \(0.594637\pi\) | |||||||
\(488\) | 31424.2 | + | 37449.9i | 0.131955 | + | 0.157258i | ||||
\(489\) | 27722.3 | + | 19108.7i | 0.115934 | + | 0.0799121i | ||||
\(490\) | 1270.07 | − | 7202.95i | 0.00528977 | − | 0.0299998i | ||||
\(491\) | −4504.33 | − | 12375.5i | −0.0186839 | − | 0.0513335i | 0.930000 | − | 0.367559i | \(-0.119807\pi\) |
−0.948684 | + | 0.316226i | \(0.897584\pi\) | |||||||
\(492\) | −6541.06 | − | 68915.6i | −0.0270220 | − | 0.284700i | ||||
\(493\) | −21867.0 | − | 124014.i | −0.0899695 | − | 0.510242i | ||||
\(494\) | −6582.81 | + | 3800.59i | −0.0269748 | + | 0.0155739i | ||||
\(495\) | 5084.79 | + | 13355.0i | 0.0207521 | + | 0.0545046i | ||||
\(496\) | −104701. | + | 181348.i | −0.425588 | + | 0.737140i | ||||
\(497\) | 41785.2 | − | 114804.i | 0.169165 | − | 0.464776i | ||||
\(498\) | 96440.1 | − | 97871.0i | 0.388865 | − | 0.394635i | ||||
\(499\) | 134809. | + | 113118.i | 0.541398 | + | 0.454287i | 0.872016 | − | 0.489478i | \(-0.162813\pi\) |
−0.330618 | + | 0.943765i | \(0.607257\pi\) | |||||||
\(500\) | −99189.4 | + | 118209.i | −0.396758 | + | 0.472837i | ||||
\(501\) | −29087.6 | + | 111845.i | −0.115886 | + | 0.445594i | ||||
\(502\) | −11745.0 | − | 4274.83i | −0.0466064 | − | 0.0169633i | ||||
\(503\) | 293462. | + | 169430.i | 1.15989 | + | 0.669661i | 0.951277 | − | 0.308338i | \(-0.0997728\pi\) |
0.208610 | + | 0.977999i | \(0.433106\pi\) | |||||||
\(504\) | 68671.8 | − | 123095.i | 0.270344 | − | 0.484595i | ||||
\(505\) | 4022.02 | + | 6966.34i | 0.0157711 | + | 0.0273163i | ||||
\(506\) | −15493.1 | + | 2731.86i | −0.0605116 | + | 0.0106698i | ||||
\(507\) | −97800.9 | + | 213832.i | −0.380476 | + | 0.831872i | ||||
\(508\) | 153344. | − | 55812.5i | 0.594207 | − | 0.216274i | ||||
\(509\) | 267722. | + | 47206.7i | 1.03335 | + | 0.182208i | 0.664507 | − | 0.747282i | \(-0.268642\pi\) |
0.368847 | + | 0.929490i | \(0.379753\pi\) | |||||||
\(510\) | −51167.2 | − | 4097.10i | −0.196721 | − | 0.0157520i | ||||
\(511\) | −76977.0 | + | 64591.4i | −0.294794 | + | 0.247362i | ||||
\(512\) | 263863.i | 1.00656i | ||||||||
\(513\) | −79813.7 | + | 23287.5i | −0.303279 | + | 0.0884886i | ||||
\(514\) | 107584. | 0.407214 | ||||||||
\(515\) | −30446.3 | − | 36284.4i | −0.114794 | − | 0.136806i | ||||
\(516\) | −386535. | + | 183722.i | −1.45174 | + | 0.690020i | ||||
\(517\) | 13160.1 | − | 74634.7i | 0.0492355 | − | 0.279228i | ||||
\(518\) | 43625.0 | + | 119859.i | 0.162583 | + | 0.446694i | ||||
\(519\) | −313588. | + | 223036.i | −1.16419 | + | 0.828020i | ||||
\(520\) | 3270.86 | + | 18549.9i | 0.0120964 | + | 0.0686019i | ||||
\(521\) | −212819. | + | 122871.i | −0.784035 | + | 0.452663i | −0.837858 | − | 0.545888i | \(-0.816192\pi\) |
0.0538237 | + | 0.998550i | \(0.482859\pi\) | |||||||
\(522\) | 30013.5 | − | 5749.19i | 0.110148 | − | 0.0210992i | ||||
\(523\) | 145495. | − | 252005.i | 0.531920 | − | 0.921312i | −0.467386 | − | 0.884053i | \(-0.654804\pi\) |
0.999306 | − | 0.0372584i | \(-0.0118625\pi\) | |||||||
\(524\) | −102003. | + | 280251.i | −0.371493 | + | 1.02067i | ||||
\(525\) | 54900.7 | + | 199018.i | 0.199186 | + | 0.722061i | ||||
\(526\) | −117685. | − | 98749.4i | −0.425353 | − | 0.356914i | ||||
\(527\) | 353318. | − | 421068.i | 1.27217 | − | 1.51611i | ||||
\(528\) | −28069.6 | + | 7743.22i | −0.100686 | + | 0.0277750i | ||||
\(529\) | 96301.8 | + | 35051.0i | 0.344130 | + | 0.125253i | ||||
\(530\) | 42929.5 | + | 24785.3i | 0.152828 | + | 0.0882354i | ||||
\(531\) | 275835. | − | 238463.i | 0.978275 | − | 0.845732i | ||||
\(532\) | 34512.4 | + | 59777.3i | 0.121942 | + | 0.211209i | ||||
\(533\) | 26366.9 | − | 4649.19i | 0.0928121 | − | 0.0163653i | ||||
\(534\) | 7993.44 | + | 11238.8i | 0.0280318 | + | 0.0394127i | ||||
\(535\) | −94769.0 | + | 34493.1i | −0.331100 | + | 0.120510i | ||||
\(536\) | −126610. | − | 22324.8i | −0.440695 | − | 0.0777065i | ||||
\(537\) | 102638. | + | 215942.i | 0.355926 | + | 0.748838i | ||||
\(538\) | −233.658 | + | 196.062i | −0.000807266 | + | 0.000677376i | ||||
\(539\) | 10890.7i | 0.0374869i | ||||||||
\(540\) | −6303.50 | + | 96580.8i | −0.0216169 | + | 0.331210i | ||||
\(541\) | −462829. | −1.58134 | −0.790671 | − | 0.612241i | \(-0.790268\pi\) | ||||
−0.790671 | + | 0.612241i | \(0.790268\pi\) | |||||||
\(542\) | −20338.8 | − | 24238.9i | −0.0692353 | − | 0.0825114i | ||||
\(543\) | −12208.8 | + | 152471.i | −0.0414070 | + | 0.517117i | ||||
\(544\) | 69217.2 | − | 392550.i | 0.233892 | − | 1.32647i | ||||
\(545\) | −8650.61 | − | 23767.4i | −0.0291242 | − | 0.0800181i | ||||
\(546\) | 23289.4 | + | 10652.0i | 0.0781221 | + | 0.0357309i | ||||
\(547\) | −65549.2 | − | 371748.i | −0.219075 | − | 1.24244i | −0.873693 | − | 0.486477i | \(-0.838282\pi\) |
0.654618 | − | 0.755960i | \(-0.272829\pi\) | |||||||
\(548\) | 418232. | − | 241466.i | 1.39269 | − | 0.804072i | ||||
\(549\) | −83413.6 | + | 49811.1i | −0.276753 | + | 0.165265i | ||||
\(550\) | −6835.10 | + | 11838.7i | −0.0225954 | + | 0.0391363i | ||||
\(551\) | −10895.2 | + | 29934.3i | −0.0358865 | + | 0.0985974i | ||||
\(552\) | −219516. | − | 57089.8i | −0.720423 | − | 0.187362i | ||||
\(553\) | −164497. | − | 138029.i | −0.537907 | − | 0.451358i | ||||
\(554\) | 28400.8 | − | 33846.8i | 0.0925362 | − | 0.110280i | ||||
\(555\) | −132799. | − | 130857.i | −0.431130 | − | 0.424826i | ||||
\(556\) | 225778. | + | 82176.5i | 0.730352 | + | 0.265826i | ||||
\(557\) | 153585. | + | 88672.5i | 0.495039 | + | 0.285811i | 0.726662 | − | 0.686995i | \(-0.241070\pi\) |
−0.231624 | + | 0.972805i | \(0.574404\pi\) | |||||||
\(558\) | 103434. | + | 84226.7i | 0.332196 | + | 0.270509i | ||||
\(559\) | −82762.2 | − | 143348.i | −0.264855 | − | 0.458742i | ||||
\(560\) | 67636.8 | − | 11926.2i | 0.215678 | − | 0.0380299i | ||||
\(561\) | 76090.5 | − | 7222.06i | 0.241771 | − | 0.0229475i | ||||
\(562\) | −69362.9 | + | 25246.0i | −0.219611 | + | 0.0799319i | ||||
\(563\) | −134655. | − | 23743.4i | −0.424822 | − | 0.0749076i | −0.0428501 | − | 0.999082i | \(-0.513644\pi\) |
−0.381972 | + | 0.924174i | \(0.624755\pi\) | |||||||
\(564\) | 291307. | − | 422620.i | 0.915784 | − | 1.32859i | ||||
\(565\) | 91921.3 | − | 77131.1i | 0.287951 | − | 0.241620i | ||||
\(566\) | 69048.7i | 0.215537i | ||||||||
\(567\) | 219794. | + | 173660.i | 0.683676 | + | 0.540173i | ||||
\(568\) | 116632. | 0.361510 | ||||||||
\(569\) | −301401. | − | 359196.i | −0.930938 | − | 1.10945i | −0.993773 | − | 0.111425i | \(-0.964459\pi\) |
0.0628350 | − | 0.998024i | \(-0.479986\pi\) | |||||||
\(570\) | 10691.3 | + | 7369.39i | 0.0329064 | + | 0.0226820i | ||||
\(571\) | −16388.9 | + | 92946.2i | −0.0502664 | + | 0.285075i | −0.999571 | − | 0.0292821i | \(-0.990678\pi\) |
0.949305 | + | 0.314357i | \(0.101789\pi\) | |||||||
\(572\) | −4506.36 | − | 12381.1i | −0.0137732 | − | 0.0378415i | ||||
\(573\) | −44873.1 | − | 472776.i | −0.136671 | − | 1.43995i | ||||
\(574\) | 5433.64 | + | 30815.7i | 0.0164918 | + | 0.0935294i | ||||
\(575\) | 287705. | − | 166107.i | 0.870186 | − | 0.502402i | ||||
\(576\) | −124261. | − | 20028.2i | −0.374531 | − | 0.0603666i | ||||
\(577\) | −151696. | + | 262746.i | −0.455641 | + | 0.789194i | −0.998725 | − | 0.0504846i | \(-0.983923\pi\) |
0.543083 | + | 0.839679i | \(0.317257\pi\) | |||||||
\(578\) | −55316.5 | + | 151981.i | −0.165577 | + | 0.454918i | ||||
\(579\) | −296767. | + | 301171.i | −0.885236 | + | 0.898371i | ||||
\(580\) | 28407.5 | + | 23836.7i | 0.0844455 | + | 0.0708582i | ||||
\(581\) | 310191. | − | 369671.i | 0.918919 | − | 1.09512i | ||||
\(582\) | 5702.70 | − | 21927.4i | 0.0168358 | − | 0.0647353i | ||||
\(583\) | −69360.0 | − | 25245.0i | −0.204067 | − | 0.0742741i | ||||
\(584\) | −83077.5 | − | 47964.8i | −0.243589 | − | 0.140636i | ||||
\(585\) | −37429.1 | + | 551.304i | −0.109370 | + | 0.00161094i | ||||
\(586\) | −11158.7 | − | 19327.5i | −0.0324952 | − | 0.0562833i | ||||
\(587\) | −498455. | + | 87891.1i | −1.44661 | + | 0.255076i | −0.841149 | − | 0.540803i | \(-0.818120\pi\) |
−0.605456 | + | 0.795879i | \(0.707009\pi\) | |||||||
\(588\) | −30680.0 | + | 67078.7i | −0.0887360 | + | 0.194013i | ||||
\(589\) | −130662. | + | 47557.0i | −0.376632 | + | 0.137083i | ||||
\(590\) | −56081.7 | − | 9888.71i | −0.161108 | − | 0.0284077i | ||||
\(591\) | −214493. | − | 17175.1i | −0.614099 | − | 0.0491727i | ||||
\(592\) | 291012. | − | 244188.i | 0.830362 | − | 0.696756i | ||||
\(593\) | 382244.i | 1.08701i | 0.839407 | + | 0.543503i | \(0.182902\pi\) | ||||
−0.839407 | + | 0.543503i | \(0.817098\pi\) | |||||||
\(594\) | 2024.36 | + | 18437.3i | 0.00573740 | + | 0.0522547i | ||||
\(595\) | −180280. | −0.509229 | ||||||||
\(596\) | 254529. | + | 303336.i | 0.716547 | + | 0.853947i | ||||
\(597\) | 156950. | − | 74599.1i | 0.440366 | − | 0.209308i | ||||
\(598\) | 7156.08 | − | 40584.1i | 0.0200112 | − | 0.113489i | ||||
\(599\) | −99670.1 | − | 273841.i | −0.277787 | − | 0.763213i | −0.997613 | − | 0.0690580i | \(-0.978001\pi\) |
0.719826 | − | 0.694155i | \(-0.244222\pi\) | |||||||
\(600\) | −160610. | + | 114232.i | −0.446138 | + | 0.317311i | ||||
\(601\) | 95074.7 | + | 539196.i | 0.263218 | + | 1.49279i | 0.774061 | + | 0.633111i | \(0.218222\pi\) |
−0.510843 | + | 0.859674i | \(0.670667\pi\) | |||||||
\(602\) | 167535. | − | 96726.4i | 0.462288 | − | 0.266902i | ||||
\(603\) | 83838.9 | − | 241347.i | 0.230574 | − | 0.663755i | ||||
\(604\) | −23526.7 | + | 40749.5i | −0.0644893 | + | 0.111699i | ||||
\(605\) | 45762.9 | − | 125733.i | 0.125027 | − | 0.343508i | ||||
\(606\) | 2776.48 | + | 10064.9i | 0.00756048 | + | 0.0274072i | ||||
\(607\) | −172994. | − | 145159.i | −0.469519 | − | 0.393973i | 0.377100 | − | 0.926173i | \(-0.376921\pi\) |
−0.846619 | + | 0.532199i | \(0.821366\pi\) | |||||||
\(608\) | −64815.0 | + | 77243.5i | −0.175335 | + | 0.208956i | ||||
\(609\) | 103462. | − | 28540.9i | 0.278964 | − | 0.0769544i | ||||
\(610\) | 14258.5 | + | 5189.67i | 0.0383190 | + | 0.0139470i | ||||
\(611\) | 171924. | + | 99260.4i | 0.460526 | + | 0.265885i | ||||
\(612\) | 489005. | + | 169870.i | 1.30560 | + | 0.453537i | ||||
\(613\) | 295834. | + | 512400.i | 0.787277 | + | 1.36360i | 0.927629 | + | 0.373502i | \(0.121843\pi\) |
−0.140352 | + | 0.990102i | \(0.544823\pi\) | |||||||
\(614\) | −136388. | + | 24048.8i | −0.361775 | + | 0.0637906i | ||||
\(615\) | −26509.0 | − | 37271.6i | −0.0700880 | − | 0.0985435i | ||||
\(616\) | 30802.7 | − | 11211.3i | 0.0811759 | − | 0.0295456i | ||||
\(617\) | 111685. | + | 19693.0i | 0.293375 | + | 0.0517300i | 0.318399 | − | 0.947957i | \(-0.396855\pi\) |
−0.0250234 | + | 0.999687i | \(0.507966\pi\) | |||||||
\(618\) | −26391.8 | − | 55526.1i | −0.0691022 | − | 0.145385i | ||||
\(619\) | −171675. | + | 144052.i | −0.448049 | + | 0.375958i | −0.838711 | − | 0.544576i | \(-0.816690\pi\) |
0.390662 | + | 0.920534i | \(0.372246\pi\) | |||||||
\(620\) | 161867.i | 0.421090i | ||||||||
\(621\) | 181427. | − | 412633.i | 0.470456 | − | 1.06999i | ||||
\(622\) | −41824.3 | −0.108105 | ||||||||
\(623\) | 31134.8 | + | 37105.0i | 0.0802176 | + | 0.0955996i | ||||
\(624\) | 6088.02 | − | 76031.1i | 0.0156353 | − | 0.195264i | ||||
\(625\) | 40607.1 | − | 230294.i | 0.103954 | − | 0.589554i | ||||
\(626\) | 29652.0 | + | 81468.3i | 0.0756669 | + | 0.207893i | ||||
\(627\) | −17583.1 | − | 8042.02i | −0.0447260 | − | 0.0204564i | ||||
\(628\) | 52512.7 | + | 297814.i | 0.133151 | + | 0.755138i | ||||
\(629\) | −863581. | + | 498589.i | −2.18274 | + | 1.26021i | ||||
\(630\) | −644.324 | − | 43744.4i | −0.00162339 | − | 0.110215i | ||||
\(631\) | 36775.4 | − | 63696.9i | 0.0923633 | − | 0.159978i | −0.816142 | − | 0.577852i | \(-0.803891\pi\) |
0.908505 | + | 0.417874i | \(0.137225\pi\) | |||||||
\(632\) | 70113.4 | − | 192635.i | 0.175536 | − | 0.482282i | ||||
\(633\) | 253342. | + | 65887.1i | 0.632266 | + | 0.164435i | ||||
\(634\) | 104435. | + | 87631.3i | 0.259817 | + | 0.218012i | ||||
\(635\) | 69303.1 | − | 82592.3i | 0.171872 | − | 0.204829i | ||||
\(636\) | −356088. | − | 350881.i | −0.880325 | − | 0.867454i | ||||
\(637\) | −26807.7 | − | 9757.21i | −0.0660665 | − | 0.0240462i | ||||
\(638\) | 6154.54 | + | 3553.32i | 0.0151201 | + | 0.00872958i | ||||
\(639\) | −36882.6 | + | 228830.i | −0.0903274 | + | 0.560416i | ||||
\(640\) | 76073.7 | + | 131764.i | 0.185727 | + | 0.321688i | ||||
\(641\) | −337744. | + | 59553.3i | −0.821999 | + | 0.144941i | −0.568802 | − | 0.822474i | \(-0.692593\pi\) |
−0.253197 | + | 0.967415i | \(0.581482\pi\) | |||||||
\(642\) | −130315. | + | 12368.7i | −0.316172 | + | 0.0300092i | ||||
\(643\) | 201474. | − | 73330.5i | 0.487300 | − | 0.177363i | −0.0866731 | − | 0.996237i | \(-0.527624\pi\) |
0.573973 | + | 0.818874i | \(0.305401\pi\) | |||||||
\(644\) | −368537. | − | 64983.1i | −0.888607 | − | 0.156685i | ||||
\(645\) | −160477. | + | 232815.i | −0.385739 | + | 0.559618i | ||||
\(646\) | 53203.0 | − | 44642.6i | 0.127489 | − | 0.106976i | ||||
\(647\) | − | 20926.3i | − | 0.0499902i | −0.999688 | − | 0.0249951i | \(-0.992043\pi\) | ||
0.999688 | − | 0.0249951i | \(-0.00795701\pi\) | |||||||
\(648\) | −84021.4 | + | 253875.i | −0.200097 | + | 0.604602i | ||||
\(649\) | 84794.5 | 0.201316 | ||||||||
\(650\) | −23017.5 | − | 27431.2i | −0.0544794 | − | 0.0649260i | ||||
\(651\) | 385722. | + | 265874.i | 0.910149 | + | 0.627356i | ||||
\(652\) | −9208.96 | + | 52226.6i | −0.0216628 | + | 0.122856i | ||||
\(653\) | 64062.7 | + | 176011.i | 0.150238 | + | 0.412774i | 0.991867 | − | 0.127282i | \(-0.0406252\pi\) |
−0.841629 | + | 0.540056i | \(0.818403\pi\) | |||||||
\(654\) | −3101.98 | − | 32682.0i | −0.00725243 | − | 0.0764105i | ||||
\(655\) | 34216.6 | + | 194052.i | 0.0797544 | + | 0.452310i | ||||
\(656\) | 80709.3 | − | 46597.5i | 0.187550 | − | 0.108282i | ||||
\(657\) | 120378. | − | 147829.i | 0.278879 | − | 0.342475i | ||||
\(658\) | −116008. | + | 200932.i | −0.267940 | + | 0.464085i | ||||
\(659\) | −34435.2 | + | 94610.0i | −0.0792925 | + | 0.217854i | −0.973004 | − | 0.230787i | \(-0.925870\pi\) |
0.893712 | + | 0.448642i | \(0.148092\pi\) | |||||||
\(660\) | −15798.0 | + | 16032.4i | −0.0362671 | + | 0.0368052i | ||||
\(661\) | 377130. | + | 316450.i | 0.863154 | + | 0.724272i | 0.962645 | − | 0.270766i | \(-0.0872770\pi\) |
−0.0994911 | + | 0.995038i | \(0.531721\pi\) | |||||||
\(662\) | 970.390 | − | 1156.47i | 0.00221427 | − | 0.00263886i | ||||
\(663\) | −50393.7 | + | 193768.i | −0.114643 | + | 0.440814i | ||||
\(664\) | 432906. | + | 157565.i | 0.981877 | + | 0.357374i | ||||
\(665\) | 39495.0 | + | 22802.4i | 0.0893097 | + | 0.0515630i | ||||
\(666\) | −124068. | − | 207764.i | −0.279711 | − | 0.468405i | ||||
\(667\) | −86353.0 | − | 149568.i | −0.194100 | − | 0.336191i | ||||
\(668\) | −179257. | + | 31607.8i | −0.401720 | + | 0.0708340i | ||||
\(669\) | 315930. | − | 690750.i | 0.705893 | − | 1.54337i | ||||
\(670\) | −37496.7 | + | 13647.7i | −0.0835302 | + | 0.0304025i | ||||
\(671\) | −22250.4 | − | 3923.34i | −0.0494188 | − | 0.00871387i | ||||
\(672\) | 338646. | + | 27116.3i | 0.749906 | + | 0.0600471i | ||||
\(673\) | 133890. | − | 112347.i | 0.295609 | − | 0.248045i | −0.482905 | − | 0.875673i | \(-0.660418\pi\) |
0.778514 | + | 0.627628i | \(0.215974\pi\) | |||||||
\(674\) | − | 165075.i | − | 0.363380i | ||||||
\(675\) | −173332. | − | 351238.i | −0.380426 | − | 0.770892i | ||||
\(676\) | −370355. | −0.810447 | ||||||||
\(677\) | −66906.1 | − | 79735.6i | −0.145978 | − | 0.173970i | 0.688101 | − | 0.725615i | \(-0.258445\pi\) |
−0.834079 | + | 0.551645i | \(0.814000\pi\) | |||||||
\(678\) | 140667. | − | 66859.7i | 0.306008 | − | 0.145447i | ||||
\(679\) | 13817.7 | − | 78364.3i | 0.0299707 | − | 0.169972i | ||||
\(680\) | −58863.2 | − | 161725.i | −0.127299 | − | 0.349752i | ||||
\(681\) | −37636.9 | + | 26768.9i | −0.0811558 | + | 0.0577212i | ||||
\(682\) | 5386.60 | + | 30548.9i | 0.0115810 | + | 0.0656791i | ||||
\(683\) | −316965. | + | 183000.i | −0.679469 | + | 0.392292i | −0.799655 | − | 0.600460i | \(-0.794984\pi\) |
0.120186 | + | 0.992751i | \(0.461651\pi\) | |||||||
\(684\) | −85643.5 | − | 99065.5i | −0.183055 | − | 0.211744i | ||||
\(685\) | 159537. | − | 276327.i | 0.340001 | − | 0.588900i | ||||
\(686\) | 58760.3 | − | 161443.i | 0.124864 | − | 0.343060i | ||||
\(687\) | 146440. | + | 530855.i | 0.310276 | + | 1.12477i | ||||
\(688\) | −441369. | − | 370352.i | −0.932448 | − | 0.782417i | ||||
\(689\) | 124282. | − | 148113.i | 0.261800 | − | 0.312001i | ||||
\(690\) | −67864.5 | + | 18720.9i | −0.142542 | + | 0.0393214i | ||||
\(691\) | 126437. | + | 46019.3i | 0.264800 | + | 0.0963793i | 0.471008 | − | 0.882129i | \(-0.343890\pi\) |
−0.206208 | + | 0.978508i | \(0.566112\pi\) | |||||||
\(692\) | −524905. | − | 303054.i | −1.09615 | − | 0.632860i | ||||
\(693\) | 12255.6 | + | 63979.8i | 0.0255192 | + | 0.133222i | ||||
\(694\) | −12802.4 | − | 22174.4i | −0.0265810 | − | 0.0460397i | ||||
\(695\) | 156334. | − | 27565.9i | 0.323656 | − | 0.0570693i | ||||
\(696\) | 59385.1 | + | 83495.2i | 0.122591 | + | 0.172363i | ||||
\(697\) | −229877. | + | 83668.2i | −0.473183 | + | 0.172224i | ||||
\(698\) | 166140. | + | 29295.0i | 0.341008 | + | 0.0601289i | ||||
\(699\) | −291422. | − | 613127.i | −0.596442 | − | 1.25486i | ||||
\(700\) | −249098. | + | 209018.i | −0.508363 | + | 0.426567i | ||||
\(701\) | − | 730976.i | − | 1.48753i | −0.668439 | − | 0.743767i | \(-0.733037\pi\) | ||
0.668439 | − | 0.743767i | \(-0.266963\pi\) | |||||||
\(702\) | −47197.5 | − | 11535.4i | −0.0957733 | − | 0.0234076i | ||||
\(703\) | 252253. | 0.510418 | ||||||||
\(704\) | −18814.5 | − | 22422.3i | −0.0379619 | − | 0.0452413i | ||||
\(705\) | 27068.6 | − | 338050.i | 0.0544613 | − | 0.680148i | ||||
\(706\) | 9267.14 | − | 52556.5i | 0.0185924 | − | 0.105443i | ||||
\(707\) | 12541.6 | + | 34457.8i | 0.0250908 | + | 0.0689365i | ||||
\(708\) | 522270. | + | 238872.i | 1.04191 | + | 0.476539i | ||||
\(709\) | −84369.5 | − | 478483.i | −0.167839 | − | 0.951863i | −0.946089 | − | 0.323908i | \(-0.895003\pi\) |
0.778250 | − | 0.627955i | \(-0.216108\pi\) | |||||||
\(710\) | 31350.0 | − | 18099.9i | 0.0621901 | − | 0.0359055i | ||||
\(711\) | 355775. | + | 198479.i | 0.703779 | + | 0.392622i | ||||
\(712\) | −23120.3 | + | 40045.5i | −0.0456072 | + | 0.0789940i | ||||
\(713\) | 257833. | − | 708390.i | 0.507177 | − | 1.39346i | ||||
\(714\) | −226462. | − | 58896.4i | −0.444221 | − | 0.115529i | ||||
\(715\) | −6668.59 | − | 5595.61i | −0.0130443 | − | 0.0109455i | ||||
\(716\) | −242065. | + | 288482.i | −0.472178 | + | 0.562720i | ||||
\(717\) | 372313. | + | 366870.i | 0.724219 | + | 0.713630i | ||||
\(718\) | −130739. | − | 47585.2i | −0.253605 | − | 0.0923045i | ||||
\(719\) | 555622. | + | 320788.i | 1.07479 | + | 0.620527i | 0.929485 | − | 0.368860i | \(-0.120252\pi\) |
0.145300 | + | 0.989388i | \(0.453585\pi\) | |||||||
\(720\) | −121772. | + | 46363.4i | −0.234899 | + | 0.0894356i | ||||
\(721\) | −107960. | − | 186993.i | −0.207680 | − | 0.359712i | ||||
\(722\) | 156050. | − | 27515.9i | 0.299358 | − | 0.0527849i | ||||
\(723\) | −634181. | + | 60192.7i | −1.21321 | + | 0.115151i | ||||
\(724\) | −226391. | + | 82399.7i | −0.431900 | + | 0.157199i | ||||
\(725\) | −147790. | − | 26059.4i | −0.281170 | − | 0.0495779i | ||||
\(726\) | 98562.2 | − | 142991.i | 0.186998 | − | 0.271291i | ||||
\(727\) | −204709. | + | 171771.i | −0.387318 | + | 0.324999i | −0.815567 | − | 0.578662i | \(-0.803575\pi\) |
0.428249 | + | 0.903661i | \(0.359131\pi\) | |||||||
\(728\) | 85865.6i | 0.162015i | ||||||||
\(729\) | −471529. | − | 245132.i | −0.887265 | − | 0.461259i | ||||
\(730\) | −29774.4 | −0.0558724 | ||||||||
\(731\) | 972144. | + | 1.15856e6i | 1.81927 | + | 2.16812i | ||||
\(732\) | −125993. | − | 86845.6i | −0.235139 | − | 0.162079i | ||||
\(733\) | −68087.6 | + | 386144.i | −0.126724 | + | 0.718690i | 0.853544 | + | 0.521020i | \(0.174448\pi\) |
−0.980269 | + | 0.197670i | \(0.936663\pi\) | |||||||
\(734\) | −93112.3 | − | 255824.i | −0.172828 | − | 0.474842i | ||||
\(735\) | 4604.90 | + | 48516.6i | 0.00852405 | + | 0.0898080i | ||||
\(736\) | −94929.8 | − | 538373.i | −0.175245 | − | 0.993866i | ||||
\(737\) | 51456.0 | − | 29708.1i | 0.0947330 | − | 0.0546941i | ||||
\(738\) | −21123.4 | − | 55479.9i | −0.0387839 | − | 0.101864i | ||||
\(739\) | 169462. | − | 293516.i | 0.310301 | − | 0.537456i | −0.668127 | − | 0.744047i | \(-0.732904\pi\) |
0.978427 | + | 0.206591i | \(0.0662370\pi\) | |||||||
\(740\) | 100435. | − | 275942.i | 0.183409 | − | 0.503912i | ||||
\(741\) | 35548.6 | − | 36076.0i | 0.0647419 | − | 0.0657026i | ||||
\(742\) | 173104. | + | 145251.i | 0.314412 | + | 0.263823i | ||||
\(743\) | −445339. | + | 530734.i | −0.806701 | + | 0.961389i | −0.999804 | − | 0.0197896i | \(-0.993700\pi\) |
0.193103 | + | 0.981178i | \(0.438145\pi\) | |||||||
\(744\) | −112568. | + | 432834.i | −0.203362 | + | 0.781944i | ||||
\(745\) | 245845. | + | 89480.2i | 0.442944 | + | 0.161218i | ||||
\(746\) | −125650. | − | 72544.0i | −0.225780 | − | 0.130354i | ||||
\(747\) | −446038. | + | 799528.i | −0.799339 | + | 1.43282i | ||||
\(748\) | 60193.0 | + | 104257.i | 0.107583 | + | 0.186339i | ||||
\(749\) | −452752. | + | 79832.4i | −0.807043 | + | 0.142303i | ||||
\(750\) | −55041.1 | + | 120342.i | −0.0978509 | + | 0.213941i | ||||
\(751\) | 688146. | − | 250465.i | 1.22012 | − | 0.444086i | 0.349914 | − | 0.936782i | \(-0.386211\pi\) |
0.870201 | + | 0.492696i | \(0.163989\pi\) | |||||||
\(752\) | 680524. | + | 119995.i | 1.20339 | + | 0.212191i | ||||
\(753\) | 83015.2 | + | 6647.26i | 0.146409 | + | 0.0117234i | ||||
\(754\) | −14260.5 | + | 11966.0i | −0.0250838 | + | 0.0210478i | ||||
\(755\) | 31088.3i | 0.0545385i | ||||||||
\(756\) | −104750. | + | 428591.i | −0.183279 | + | 0.749894i | ||||
\(757\) | 347674. | 0.606709 | 0.303355 | − | 0.952878i | \(-0.401893\pi\) | ||||
0.303355 | + | 0.952878i | \(0.401893\pi\) | |||||||
\(758\) | 192536. | + | 229455.i | 0.335099 | + | 0.399355i | ||||
\(759\) | 94675.3 | − | 44999.5i | 0.164344 | − | 0.0781132i | ||||
\(760\) | −7560.09 | + | 42875.4i | −0.0130888 | + | 0.0742303i | ||||
\(761\) | 227751. | + | 625741.i | 0.393270 | + | 1.08050i | 0.965499 | + | 0.260407i | \(0.0838566\pi\) |
−0.572229 | + | 0.820094i | \(0.693921\pi\) | |||||||
\(762\) | 114039. | − | 81109.1i | 0.196401 | − | 0.139688i | ||||
\(763\) | −20021.4 | − | 113547.i | −0.0343910 | − | 0.195041i | ||||
\(764\) | 647786. | − | 373999.i | 1.10980 | − | 0.640743i | ||||
\(765\) | 335918. | − | 64346.3i | 0.573997 | − | 0.109951i | ||||
\(766\) | 84187.8 | − | 145818.i | 0.143480 | − | 0.248515i | ||||
\(767\) | −75969.0 | + | 208723.i | −0.129135 | + | 0.354797i | ||||
\(768\) | −6987.90 | − | 25331.5i | −0.0118474 | − | 0.0429476i | ||||
\(769\) | −69815.7 | − | 58582.4i | −0.118059 | − | 0.0990636i | 0.581847 | − | 0.813299i | \(-0.302330\pi\) |
−0.699906 | + | 0.714235i | \(0.746775\pi\) | |||||||
\(770\) | 6539.74 | − | 7793.76i | 0.0110301 | − | 0.0131452i | ||||
\(771\) | −691036. | + | 190628.i | −1.16250 | + | 0.320684i | ||||
\(772\) | −625802. | − | 227773.i | −1.05003 | − | 0.382180i | ||||
\(773\) | −75723.2 | − | 43718.8i | −0.126727 | − | 0.0731660i | 0.435296 | − | 0.900287i | \(-0.356644\pi\) |
−0.562024 | + | 0.827121i | \(0.689977\pi\) | |||||||
\(774\) | −277646. | + | 240029.i | −0.463457 | + | 0.400665i | ||||
\(775\) | −327524. | − | 567288.i | −0.545305 | − | 0.944497i | ||||
\(776\) | 74810.7 | − | 13191.1i | 0.124234 | − | 0.0219058i | ||||
\(777\) | −492590. | − | 692580.i | −0.815913 | − | 1.14717i | ||||
\(778\) | −275658. | + | 100331.i | −0.455419 | + | 0.165759i | ||||
\(779\) | 60943.1 | + | 10745.9i | 0.100427 | + | 0.0177080i | ||||
\(780\) | −25310.2 | − | 53250.6i | −0.0416013 | − | 0.0875256i | ||||
\(781\) | −41291.4 | + | 34647.6i | −0.0676951 | + | 0.0568029i | ||||
\(782\) | 376536.i | 0.615734i | ||||||||
\(783\) | −182596. | + | 90109.0i | −0.297829 | + | 0.146975i | ||||
\(784\) | −99302.4 | −0.161558 | ||||||||
\(785\) | 128430. | + | 153057.i | 0.208415 | + | 0.248379i | ||||
\(786\) | −20413.9 | + | 254941.i | −0.0330430 | + | 0.412662i | ||||
\(787\) | −152733. | + | 866190.i | −0.246594 | + | 1.39850i | 0.570168 | + | 0.821528i | \(0.306878\pi\) |
−0.816762 | + | 0.576975i | \(0.804233\pi\) | |||||||
\(788\) | −115918. | − | 318482.i | −0.186680 | − | 0.512900i | ||||
\(789\) | 930890. | + | 425764.i | 1.49535 | + | 0.683934i | ||||
\(790\) | −11048.7 | − | 62660.1i | −0.0177034 | − | 0.100401i | ||||
\(791\) | 473719. | − | 273502.i | 0.757125 | − | 0.437126i | ||||
\(792\) | −53393.4 | + | 31884.3i | −0.0851211 | + | 0.0508308i | ||||
\(793\) | 29591.9 | − | 51254.7i | 0.0470572 | − | 0.0815055i | ||||
\(794\) | 55274.4 | − | 151865.i | 0.0876765 | − | 0.240889i | ||||
\(795\) | −319662. | − | 83135.1i | −0.505774 | − | 0.131538i | ||||
\(796\) | 209674. | + | 175937.i | 0.330916 | + | 0.277672i | ||||
\(797\) | −123272. | + | 146910.i | −0.194065 | + | 0.231278i | −0.854299 | − | 0.519783i | \(-0.826013\pi\) |
0.660233 | + | 0.751061i | \(0.270457\pi\) | |||||||
\(798\) | 42163.0 | + | 41546.6i | 0.0662104 | + | 0.0652423i | ||||
\(799\) | −1.70449e6 | − | 620382.i | −2.66993 | − | 0.971775i | ||||
\(800\) | −411386. | − | 237514.i | −0.642790 | − | 0.371115i | ||||
\(801\) | −71257.5 | − | 58025.4i | −0.111062 | − | 0.0904384i | ||||
\(802\) | 53968.7 | + | 93476.4i | 0.0839060 | + | 0.145329i | ||||
\(803\) | 43660.9 | − | 7698.60i | 0.0677114 | − | 0.0119393i | ||||
\(804\) | 400620. | − | 38024.4i | 0.619755 | − | 0.0588235i | ||||
\(805\) | −232339. | + | 84564.3i | −0.358533 | + | 0.130495i | ||||
\(806\) | −80022.6 | − | 14110.1i | −0.123181 | − | 0.0217201i | ||||
\(807\) | 1153.43 | − | 1673.37i | 0.00177111 | − | 0.00256948i | ||||
\(808\) | −26816.5 | + | 22501.7i | −0.0410751 | + | 0.0344661i | ||||
\(809\) | − | 342800.i | − | 0.523774i | −0.965099 | − | 0.261887i | \(-0.915655\pi\) | ||
0.965099 | − | 0.261887i | \(-0.0843447\pi\) | |||||||
\(810\) | 16814.0 | + | 81279.5i | 0.0256272 | + | 0.123883i | ||||
\(811\) | 1.12925e6 | 1.71691 | 0.858453 | − | 0.512892i | \(-0.171426\pi\) | ||||
0.858453 | + | 0.512892i | \(0.171426\pi\) | |||||||
\(812\) | 108661. | + | 129497.i | 0.164802 | + | 0.196403i | ||||
\(813\) | 173589. | + | 119653.i | 0.262629 | + | 0.181027i | ||||
\(814\) | 9772.12 | − | 55420.5i | 0.0147482 | − | 0.0836414i | ||||
\(815\) | 11983.9 | + | 32925.5i | 0.0180419 | + | 0.0495697i | ||||
\(816\) | 65851.2 | + | 693798.i | 0.0988970 | + | 1.04196i | ||||
\(817\) | −66435.1 | − | 376772.i | −0.0995299 | − | 0.564462i | ||||
\(818\) | −299726. | + | 173047.i | −0.447938 | + | 0.258617i | ||||
\(819\) | −168467. | − | 27153.4i | −0.251158 | − | 0.0404815i | ||||
\(820\) | 36019.6 | − | 62387.7i | 0.0535687 | − | 0.0927836i | ||||
\(821\) | 391161. | − | 1.07471e6i | 0.580323 | − | 1.59442i | −0.207308 | − | 0.978276i | \(-0.566470\pi\) |
0.787631 | − | 0.616148i | \(-0.211308\pi\) | |||||||
\(822\) | 290680. | − | 294993.i | 0.430202 | − | 0.436585i | ||||
\(823\) | 474071. | + | 397792.i | 0.699912 | + | 0.587296i | 0.921749 | − | 0.387788i | \(-0.126761\pi\) |
−0.221837 | + | 0.975084i | \(0.571205\pi\) | |||||||
\(824\) | 132497. | − | 157904.i | 0.195143 | − | 0.232562i | ||||
\(825\) | 22926.3 | − | 88153.8i | 0.0336842 | − | 0.129519i | ||||
\(826\) | −243940. | − | 88787.0i | −0.357539 | − | 0.130134i | ||||
\(827\) | 106515. | + | 61496.6i | 0.155740 | + | 0.0899167i | 0.575845 | − | 0.817559i | \(-0.304673\pi\) |
−0.420104 | + | 0.907476i | \(0.638007\pi\) | |||||||
\(828\) | 709894. | − | 10456.2i | 1.03546 | − | 0.0152516i | ||||
\(829\) | 235237. | + | 407442.i | 0.342291 | + | 0.592866i | 0.984858 | − | 0.173364i | \(-0.0554637\pi\) |
−0.642567 | + | 0.766230i | \(0.722130\pi\) | |||||||
\(830\) | 140815. | − | 24829.5i | 0.204406 | − | 0.0360423i | ||||
\(831\) | −122452. | + | 267729.i | −0.177322 | + | 0.387697i | ||||
\(832\) | 72049.1 | − | 26223.7i | 0.104084 | − | 0.0378833i | ||||
\(833\) | 256701. | + | 45263.3i | 0.369945 | + | 0.0652313i | ||||
\(834\) | 205388. | + | 16446.0i | 0.295286 | + | 0.0236444i | ||||
\(835\) | −92126.5 | + | 77303.3i | −0.132133 | + | 0.110873i | ||||
\(836\) | − | 30453.7i | − | 0.0435740i | ||||||
\(837\) | −813618. | − | 357733.i | −1.16137 | − | 0.510632i | ||||
\(838\) | −409129. | −0.582602 | ||||||||
\(839\) | 42223.1 | + | 50319.5i | 0.0599827 | + | 0.0714846i | 0.795202 | − | 0.606345i | \(-0.207365\pi\) |
−0.735219 | + | 0.677830i | \(0.762921\pi\) | |||||||
\(840\) | 132481. | − | 62968.6i | 0.187756 | − | 0.0892412i | ||||
\(841\) | 109271. | − | 619705.i | 0.154494 | − | 0.876179i | ||||
\(842\) | −30079.5 | − | 82642.8i | −0.0424274 | − | 0.116568i | ||||
\(843\) | 400799. | − | 285064.i | 0.563991 | − | 0.401132i | ||||
\(844\) | 71595.7 | + | 406040.i | 0.100508 | + | 0.570011i | ||||
\(845\) | −211911. | + | 122347.i | −0.296784 | + | 0.171348i | ||||
\(846\) | 144442. | − | 415806.i | 0.201815 | − | 0.580965i | ||||
\(847\) | 304972. | − | 528227.i | 0.425102 | − | 0.736298i | ||||
\(848\) | 230185. | − | 632428.i | 0.320100 | − | 0.879467i | ||||
\(849\) | −122347. | − | 443514.i | −0.169737 | − | 0.615308i | ||||
\(850\) | 250638. | + | 210310.i | 0.346904 | + | 0.291087i | ||||
\(851\) | −879080. | + | 1.04765e6i | −1.21386 | + | 1.44662i | ||||
\(852\) | −351928. | + | 97082.1i | −0.484813 | + | 0.133740i | ||||
\(853\) | 913792. | + | 332593.i | 1.25588 | + | 0.457104i | 0.882386 | − | 0.470527i | \(-0.155936\pi\) |
0.373498 | + | 0.927631i | \(0.378158\pi\) | |||||||
\(854\) | 59902.7 | + | 34584.8i | 0.0821355 | + | 0.0474209i | ||||
\(855\) | −81730.3 | − | 28391.4i | −0.111802 | − | 0.0388377i | ||||
\(856\) | −219444. | − | 380089.i | −0.299486 | − | 0.518725i | ||||
\(857\) | −1.09569e6 | + | 193200.i | −1.49185 | + | 0.263054i | −0.859304 | − | 0.511465i | \(-0.829103\pi\) |
−0.632550 | + | 0.774519i | \(0.717992\pi\) | |||||||
\(858\) | −6548.84 | − | 9207.64i | −0.00889589 | − | 0.0125076i | ||||
\(859\) | 507014. | − | 184538.i | 0.687122 | − | 0.250092i | 0.0252197 | − | 0.999682i | \(-0.491971\pi\) |
0.661903 | + | 0.749590i | \(0.269749\pi\) | |||||||
\(860\) | −438606. | − | 77338.0i | −0.593031 | − | 0.104567i | ||||
\(861\) | −89503.5 | − | 188308.i | −0.120735 | − | 0.254017i | ||||
\(862\) | 255835. | − | 214671.i | 0.344307 | − | 0.288908i | ||||
\(863\) | − | 924852.i | − | 1.24180i | −0.783891 | − | 0.620899i | \(-0.786768\pi\) | ||
0.783891 | − | 0.620899i | \(-0.213232\pi\) | |||||||
\(864\) | −640682. | + | 70344.8i | −0.858252 | + | 0.0942334i | ||||
\(865\) | −400457. | −0.535209 | ||||||||
\(866\) | 199656. | + | 237941.i | 0.266224 | + | 0.317274i | ||||
\(867\) | 86015.8 | − | 1.07422e6i | 0.114430 | − | 1.42907i | ||||
\(868\) | −128132. | + | 726670.i | −0.170066 | + | 0.964491i | ||||
\(869\) | 32403.3 | + | 89027.4i | 0.0429092 | + | 0.117892i | ||||
\(870\) | 28919.9 | + | 13227.2i | 0.0382084 | + | 0.0174755i | ||||
\(871\) | 27026.7 | + | 153276.i | 0.0356251 | + | 0.202040i | ||||
\(872\) | 95323.4 | − | 55035.0i | 0.125362 | − | 0.0723779i | ||||
\(873\) | 2223.37 | + | 150949.i | 0.00291732 | + | 0.198062i | ||||
\(874\) | 47625.6 | − | 82490.0i | 0.0623473 | − | 0.107989i | ||||
\(875\) | −158958. | + | 436734.i | −0.207619 | + | 0.570428i | ||||
\(876\) | 290606. | + | 75578.3i | 0.378700 | + | 0.0984893i | ||||
\(877\) | −732255. | − | 614435.i | −0.952057 | − | 0.798871i | 0.0275855 | − | 0.999619i | \(-0.491218\pi\) |
−0.979643 | + | 0.200748i | \(0.935663\pi\) | |||||||
\(878\) | −69312.9 | + | 82603.9i | −0.0899135 | + | 0.107155i | ||||
\(879\) | 105921. | + | 104372.i | 0.137090 | + | 0.135085i | ||||
\(880\) | −28474.2 | − | 10363.8i | −0.0367694 | − | 0.0133830i | ||||
\(881\) | −1.16480e6 | − | 672499.i | −1.50072 | − | 0.866443i | −1.00000 | 0.000835760i | \(-0.999734\pi\) | |
−0.500724 | − | 0.865607i | \(-0.666933\pi\) | |||||||
\(882\) | −10065.6 | + | 62449.5i | −0.0129390 | + | 0.0802771i | ||||
\(883\) | −195760. | − | 339066.i | −0.251074 | − | 0.434873i | 0.712748 | − | 0.701421i | \(-0.247450\pi\) |
−0.963822 | + | 0.266547i | \(0.914117\pi\) | |||||||
\(884\) | −310559. | + | 54759.9i | −0.397411 | + | 0.0700742i | ||||
\(885\) | 377746. | − | 35853.4i | 0.482296 | − | 0.0457767i | ||||
\(886\) | −137657. | + | 50103.2i | −0.175361 | + | 0.0638261i | ||||
\(887\) | −163507. | − | 28830.7i | −0.207821 | − | 0.0366444i | 0.0687684 | − | 0.997633i | \(-0.478093\pi\) |
−0.276589 | + | 0.960988i | \(0.589204\pi\) | |||||||
\(888\) | 460464. | − | 668027.i | 0.583942 | − | 0.847166i | ||||
\(889\) | 376502. | − | 315923.i | 0.476391 | − | 0.399740i | ||||
\(890\) | 14352.1i | 0.0181190i | ||||||||
\(891\) | −45671.9 | − | 114840.i | −0.0575299 | − | 0.144657i | ||||
\(892\) | 1.19637e6 | 1.50361 | ||||||||
\(893\) | 294944. | + | 351500.i | 0.369859 | + | 0.440781i | ||||
\(894\) | 279590. | + | 192719.i | 0.349822 | + | 0.241129i | ||||
\(895\) | −43205.6 | + | 245031.i | −0.0539379 | + | 0.305897i | ||||
\(896\) | 237216. | + | 651746.i | 0.295480 | + | 0.811825i | ||||
\(897\) | 25945.8 | + | 273361.i | 0.0322464 | + | 0.339743i | ||||
\(898\) | 7283.44 | + | 41306.5i | 0.00903200 | + | 0.0512230i | ||||
\(899\) | −294913. | + | 170268.i | −0.364901 | + | 0.210675i | ||||
\(900\) | 389544. | − | 478375.i | 0.480918 | − | 0.590587i | ||||
\(901\) | −883306. | + | 1.52993e6i | −1.08808 | + | 1.88461i | ||||
\(902\) | 4721.79 | − | 12973.0i | 0.00580355 | − | 0.0159451i | ||||
\(903\) | −904724. | + | 918148.i | −1.10953 | + | 1.12600i | ||||
\(904\) | 400027. | + | 335663.i | 0.489500 | + | 0.410739i | ||||
\(905\) | −102317. | + | 121937.i | −0.124925 | + | 0.148880i | ||||
\(906\) | −10156.4 | + | 39052.2i | −0.0123732 | + | 0.0475762i | ||||
\(907\) | 1.28533e6 | + | 467822.i | 1.56243 | + | 0.568678i | 0.971292 | − | 0.237892i | \(-0.0764565\pi\) |
0.591138 | + | 0.806570i | \(0.298679\pi\) | |||||||
\(908\) | −62999.2 | − | 36372.6i | −0.0764123 | − | 0.0441167i | ||||
\(909\) | −35667.8 | − | 59729.3i | −0.0431667 | − | 0.0722870i | ||||
\(910\) | 13325.4 | + | 23080.2i | 0.0160915 | + | 0.0278713i | ||||
\(911\) | 950257. | − | 167556.i | 1.14500 | − | 0.201894i | 0.431207 | − | 0.902253i | \(-0.358088\pi\) |
0.713791 | + | 0.700359i | \(0.246977\pi\) | |||||||
\(912\) | 73327.6 | − | 160324.i | 0.0881613 | − | 0.192756i | ||||
\(913\) | −200070. | + | 72819.6i | −0.240016 | + | 0.0873588i | ||||
\(914\) | −219381. | − | 38682.8i | −0.262607 | − | 0.0463048i | ||||
\(915\) | −100781. | − | 8069.81i | −0.120375 | − | 0.00963876i | ||||
\(916\) | −664436. | + | 557528.i | −0.791886 | + | 0.664471i | ||||
\(917\) | 898246.i | 1.06821i | ||||||||
\(918\) | 442992. | + | 28912.5i | 0.525666 | + | 0.0343084i | ||||
\(919\) | −1.00521e6 | −1.19021 | −0.595107 | − | 0.803647i | \(-0.702890\pi\) | ||||
−0.595107 | + | 0.803647i | \(0.702890\pi\) | |||||||
\(920\) | −151722. | − | 180815.i | −0.179256 | − | 0.213629i | ||||
\(921\) | 833435. | − | 396135.i | 0.982545 | − | 0.467008i | ||||
\(922\) | 68824.1 | − | 390321.i | 0.0809616 | − | 0.459156i | ||||
\(923\) | −48291.9 | − | 132681.i | −0.0566853 | − | 0.155742i | ||||
\(924\) | −83612.9 | + | 59468.8i | −0.0979330 | + | 0.0696538i | ||||
\(925\) | 206356. | + | 1.17030e6i | 0.241176 | + | 1.36778i | ||||
\(926\) | −84508.0 | + | 48790.7i | −0.0985543 | + | 0.0569004i | ||||
\(927\) | 267906. | + | 309893.i | 0.311762 | + | 0.360622i | ||||
\(928\) | −123475. | + | 213865.i | −0.143378 | + | 0.248338i | ||||
\(929\) | 100931. | − | 277305.i | 0.116948 | − | 0.321312i | −0.867383 | − | 0.497641i | \(-0.834200\pi\) |
0.984331 | + | 0.176328i | \(0.0564221\pi\) | |||||||
\(930\) | 36913.4 | + | 133813.i | 0.0426793 | + | 0.154715i | ||||
\(931\) | −50511.9 | − | 42384.5i | −0.0582766 | − | 0.0488999i | ||||
\(932\) | 687300. | − | 819092.i | 0.791251 | − | 0.942976i | ||||
\(933\) | 268646. | − | 74108.2i | 0.308615 | − | 0.0851339i | ||||
\(934\) | 51536.6 | + | 18757.8i | 0.0590775 | + | 0.0215024i | ||||
\(935\) | 68883.0 | + | 39769.6i | 0.0787932 | + | 0.0454913i | ||||
\(936\) | −30647.5 | − | 159994.i | −0.0349820 | − | 0.182622i | ||||
\(937\) | 848848. | + | 1.47025e6i | 0.966831 | + | 1.67460i | 0.704612 | + | 0.709592i | \(0.251121\pi\) |
0.262219 | + | 0.965008i | \(0.415546\pi\) | |||||||
\(938\) | −179138. | + | 31586.8i | −0.203602 | + | 0.0359004i | ||||
\(939\) | −334814. | − | 470748.i | −0.379728 | − | 0.533897i | ||||
\(940\) | 501941. | − | 182692.i | 0.568064 | − | 0.206758i | ||||
\(941\) | −921233. | − | 162438.i | −1.04038 | − | 0.183446i | −0.372741 | − | 0.927935i | \(-0.621582\pi\) |
−0.667635 | + | 0.744489i | \(0.732693\pi\) | |||||||
\(942\) | 111327. | + | 234224.i | 0.125459 | + | 0.263954i | ||||
\(943\) | −257011. | + | 215658.i | −0.289020 | + | 0.242517i | ||||
\(944\) | 773162.i | 0.867613i | ||||||||
\(945\) | 81649.1 | + | 279838.i | 0.0914297 | + | 0.313360i | ||||
\(946\) | −85351.1 | −0.0953734 | ||||||||
\(947\) | 3750.59 | + | 4469.77i | 0.00418215 | + | 0.00498409i | 0.768131 | − | 0.640292i | \(-0.221187\pi\) |
−0.763949 | + | 0.645276i | \(0.776742\pi\) | |||||||
\(948\) | −51216.5 | + | 639624.i | −0.0569892 | + | 0.711718i | ||||
\(949\) | −20166.4 | + | 114369.i | −0.0223922 | + | 0.126992i | ||||
\(950\) | −28308.0 | − | 77775.5i | −0.0313662 | − | 0.0861779i | ||||
\(951\) | −826081. | − | 377827.i | −0.913401 | − | 0.417765i | ||||
\(952\) | −136236. | − | 772631.i | −0.150320 | − | 0.852507i | ||||
\(953\) | −532595. | + | 307494.i | −0.586423 | + | 0.338571i | −0.763682 | − | 0.645593i | \(-0.776610\pi\) |
0.177259 | + | 0.984164i | \(0.443277\pi\) | |||||||
\(954\) | −374391. | − | 208864.i | −0.411366 | − | 0.229491i | ||||
\(955\) | 247102. | − | 427993.i | 0.270938 | − | 0.469278i | ||||
\(956\) | −281578. | + | 773628.i | −0.308093 | + | 0.846479i | ||||
\(957\) | −45828.0 | − | 11918.6i | −0.0500389 | − | 0.0130137i | ||||
\(958\) | 57492.4 | + | 48241.8i | 0.0626440 | + | 0.0525645i | ||||
\(959\) | 934948. | − | 1.11423e6i | 1.01660 | − | 1.21154i | ||||
\(960\) | −93296.6 | − | 91932.5i | −0.101233 | − | 0.0997532i | ||||
\(961\) | −528956. | − | 192524.i | −0.572760 | − | 0.208468i | ||||
\(962\) | 127663. | + | 73706.4i | 0.137948 | + | 0.0796444i | ||||
\(963\) | 815124. | − | 310351.i | 0.878964 | − | 0.334657i | ||||
\(964\) | −501682. | − | 868939.i | −0.539852 | − | 0.935051i | ||||
\(965\) | −433319. | + | 76405.9i | −0.465322 | + | 0.0820488i | ||||
\(966\) | −319484. | + | 30323.5i | −0.342369 | + | 0.0324956i | ||||
\(967\) | −1.36323e6 | + | 496176.i | −1.45786 | + | 0.530619i | −0.944776 | − | 0.327718i | \(-0.893720\pi\) |
−0.513087 | + | 0.858337i | \(0.671498\pi\) | |||||||
\(968\) | 573439. | + | 101113.i | 0.611979 | + | 0.107908i | ||||
\(969\) | −262632. | + | 381019.i | −0.279705 | + | 0.405788i | ||||
\(970\) | 18061.6 | − | 15155.5i | 0.0191961 | − | 0.0161074i | ||||
\(971\) | − | 1.14407e6i | − | 1.21343i | −0.794921 | − | 0.606713i | \(-0.792488\pi\) | ||
0.794921 | − | 0.606713i | \(-0.207512\pi\) | |||||||
\(972\) | 42208.0 | − | 835988.i | 0.0446747 | − | 0.884846i | ||||
\(973\) | 723652. | 0.764371 | ||||||||
\(974\) | −120646. | − | 143780.i | −0.127173 | − | 0.151559i | ||||
\(975\) | 196452. | + | 135412.i | 0.206655 | + | 0.142445i | ||||
\(976\) | 35773.3 | − | 202880.i | 0.0375542 | − | 0.212981i | ||||
\(977\) | −87019.9 | − | 239085.i | −0.0911653 | − | 0.250474i | 0.885727 | − | 0.464206i | \(-0.153660\pi\) |
−0.976892 | + | 0.213732i | \(0.931438\pi\) | |||||||
\(978\) | 4297.24 | + | 45275.1i | 0.00449275 | + | 0.0473349i | ||||
\(979\) | −3710.93 | − | 21045.7i | −0.00387184 | − | 0.0219583i | ||||
\(980\) | −66476.2 | + | 38380.0i | −0.0692172 | + | 0.0399625i | ||||
\(981\) | 77833.7 | + | 204427.i | 0.0808779 | + | 0.212422i | ||||
\(982\) | 8894.31 | − | 15405.4i | 0.00922336 | − | 0.0159753i | ||||
\(983\) | 80074.8 | − | 220004.i | 0.0828684 | − | 0.227679i | −0.891337 | − | 0.453341i | \(-0.850232\pi\) |
0.974206 | + | 0.225662i | \(0.0724543\pi\) | |||||||
\(984\) | 139703. | − | 141776.i | 0.144284 | − | 0.146424i | ||||
\(985\) | −171537. | − | 143937.i | −0.176802 | − | 0.148354i | ||||
\(986\) | 109333. | − | 130298.i | 0.112460 | − | 0.134024i | ||||
\(987\) | 389116. | − | 1.49619e6i | 0.399433 | − | 1.53586i | ||||
\(988\) | 74962.3 | + | 27284.0i | 0.0767943 | + | 0.0279508i | ||||
\(989\) | 1.79631e6 | + | 1.03710e6i | 1.83650 | + | 1.06030i | ||||
\(990\) | −9403.80 | + | 16856.4i | −0.00959474 | + | 0.0171987i | ||||
\(991\) | −638655. | − | 1.10618e6i | −0.650308 | − | 1.12637i | −0.983048 | − | 0.183348i | \(-0.941306\pi\) |
0.332740 | − | 0.943019i | \(-0.392027\pi\) | |||||||
\(992\) | −1.06155e6 | + | 187180.i | −1.07874 | + | 0.190211i | ||||
\(993\) | −4183.89 | + | 9147.66i | −0.00424309 | + | 0.00927708i | ||||
\(994\) | 155068. | − | 56440.0i | 0.156945 | − | 0.0571234i | ||||
\(995\) | 178093. | + | 31402.6i | 0.179888 | + | 0.0317190i | ||||
\(996\) | −1.43742e6 | − | 115098.i | −1.44899 | − | 0.116024i | ||||
\(997\) | 1.09814e6 | − | 921445.i | 1.10475 | − | 0.926999i | 0.107018 | − | 0.994257i | \(-0.465870\pi\) |
0.997736 | + | 0.0672585i | \(0.0214252\pi\) | |||||||
\(998\) | 237699.i | 0.238653i | ||||||||
\(999\) | 1.16505e6 | + | 1.11468e6i | 1.16738 | + | 1.11691i |
(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 | 27.5.f.a.5.7 | ✓ | 66 | |
3.2 | odd | 2 | 81.5.f.a.44.5 | 66 | |||
27.11 | odd | 18 | inner | 27.5.f.a.11.7 | yes | 66 | |
27.16 | even | 9 | 81.5.f.a.35.5 | 66 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.5.f.a.5.7 | ✓ | 66 | 1.1 | even | 1 | trivial | |
27.5.f.a.11.7 | yes | 66 | 27.11 | odd | 18 | inner | |
81.5.f.a.35.5 | 66 | 27.16 | even | 9 | |||
81.5.f.a.44.5 | 66 | 3.2 | odd | 2 |