Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,5,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.44490841261\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 29.4 | ||
Character | \(\chi\) | \(=\) | 43.29 |
Dual form | 43.5.h.a.3.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{41}{42}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.02166 | − | 4.19802i | −0.505415 | − | 1.04951i | −0.985087 | − | 0.172058i | \(-0.944958\pi\) |
0.479671 | − | 0.877448i | \(-0.340756\pi\) | |||||||
\(3\) | −0.581783 | + | 0.0435986i | −0.0646425 | + | 0.00484429i | −0.107012 | − | 0.994258i | \(-0.534128\pi\) |
0.0423696 | + | 0.999102i | \(0.486509\pi\) | |||||||
\(4\) | −3.56045 | + | 4.46466i | −0.222528 | + | 0.279041i | ||||
\(5\) | −5.63046 | − | 18.2535i | −0.225218 | − | 0.730140i | −0.995697 | − | 0.0926734i | \(-0.970459\pi\) |
0.770478 | − | 0.637466i | \(-0.220017\pi\) | |||||||
\(6\) | 1.35920 | + | 2.35420i | 0.0377554 | + | 0.0653943i | ||||
\(7\) | −16.3870 | − | 9.46103i | −0.334428 | − | 0.193082i | 0.323377 | − | 0.946270i | \(-0.395182\pi\) |
−0.657805 | + | 0.753188i | \(0.728515\pi\) | |||||||
\(8\) | −46.7413 | − | 10.6684i | −0.730333 | − | 0.166694i | ||||
\(9\) | −79.7587 | + | 12.0217i | −0.984676 | + | 0.148416i | ||||
\(10\) | −65.2457 | + | 60.5392i | −0.652457 | + | 0.605392i | ||||
\(11\) | 141.410 | + | 177.323i | 1.16868 | + | 1.46548i | 0.857018 | + | 0.515286i | \(0.172314\pi\) |
0.311662 | + | 0.950193i | \(0.399114\pi\) | |||||||
\(12\) | 1.87675 | − | 2.75269i | 0.0130330 | − | 0.0191159i | ||||
\(13\) | −146.541 | − | 135.970i | −0.867106 | − | 0.804556i | 0.114906 | − | 0.993376i | \(-0.463343\pi\) |
−0.982012 | + | 0.188820i | \(0.939534\pi\) | |||||||
\(14\) | −6.58869 | + | 87.9200i | −0.0336158 | + | 0.448571i | ||||
\(15\) | 4.07153 | + | 10.3741i | 0.0180957 | + | 0.0461070i | ||||
\(16\) | 70.0403 | + | 306.867i | 0.273595 | + | 1.19870i | ||||
\(17\) | −325.668 | − | 100.455i | −1.12688 | − | 0.347596i | −0.325375 | − | 0.945585i | \(-0.605491\pi\) |
−0.801504 | + | 0.597989i | \(0.795967\pi\) | |||||||
\(18\) | 211.712 | + | 310.525i | 0.653434 | + | 0.958411i | ||||
\(19\) | 97.3714 | − | 646.017i | 0.269727 | − | 1.78952i | −0.286077 | − | 0.958207i | \(-0.592351\pi\) |
0.555804 | − | 0.831314i | \(-0.312411\pi\) | |||||||
\(20\) | 101.543 | + | 39.8525i | 0.253856 | + | 0.0996313i | ||||
\(21\) | 9.94616 | + | 4.78982i | 0.0225536 | + | 0.0108613i | ||||
\(22\) | 458.522 | − | 952.131i | 0.947360 | − | 1.96721i | ||||
\(23\) | 102.744 | − | 261.788i | 0.194223 | − | 0.494873i | −0.800274 | − | 0.599634i | \(-0.795313\pi\) |
0.994497 | + | 0.104761i | \(0.0334079\pi\) | |||||||
\(24\) | 27.6584 | + | 4.16884i | 0.0480181 | + | 0.00723757i | ||||
\(25\) | 214.911 | − | 146.524i | 0.343858 | − | 0.234439i | ||||
\(26\) | −274.549 | + | 890.067i | −0.406138 | + | 1.31667i | ||||
\(27\) | 91.9498 | − | 20.9869i | 0.126131 | − | 0.0287887i | ||||
\(28\) | 100.585 | − | 39.4768i | 0.128298 | − | 0.0503531i | ||||
\(29\) | 1203.65 | + | 90.2007i | 1.43121 | + | 0.107254i | 0.767649 | − | 0.640871i | \(-0.221426\pi\) |
0.663558 | + | 0.748125i | \(0.269046\pi\) | |||||||
\(30\) | 35.3194 | − | 38.0653i | 0.0392438 | − | 0.0422947i | ||||
\(31\) | −899.830 | − | 613.494i | −0.936347 | − | 0.638391i | −0.00401446 | − | 0.999992i | \(-0.501278\pi\) |
−0.932333 | + | 0.361601i | \(0.882230\pi\) | |||||||
\(32\) | 546.897 | − | 436.136i | 0.534079 | − | 0.425914i | ||||
\(33\) | −90.0011 | − | 96.9981i | −0.0826457 | − | 0.0890708i | ||||
\(34\) | 236.677 | + | 1570.25i | 0.204738 | + | 1.35835i | ||||
\(35\) | −80.4306 | + | 352.390i | −0.0656577 | + | 0.287665i | ||||
\(36\) | 230.304 | − | 398.898i | 0.177704 | − | 0.307792i | ||||
\(37\) | −405.138 | + | 233.907i | −0.295938 | + | 0.170860i | −0.640616 | − | 0.767861i | \(-0.721321\pi\) |
0.344679 | + | 0.938721i | \(0.387988\pi\) | |||||||
\(38\) | −2908.85 | + | 897.260i | −2.01444 | + | 0.621371i | ||||
\(39\) | 91.1830 | + | 72.7160i | 0.0599494 | + | 0.0478080i | ||||
\(40\) | 68.4394 | + | 913.261i | 0.0427746 | + | 0.570788i | ||||
\(41\) | 1143.44 | − | 550.654i | 0.680217 | − | 0.327575i | −0.0616735 | − | 0.998096i | \(-0.519644\pi\) |
0.741890 | + | 0.670521i | \(0.233929\pi\) | |||||||
\(42\) | − | 51.4376i | − | 0.0291596i | ||||||
\(43\) | 1093.46 | − | 1491.02i | 0.591382 | − | 0.806392i | ||||
\(44\) | −1295.17 | −0.668993 | ||||||||
\(45\) | 668.516 | + | 1388.19i | 0.330131 | + | 0.685525i | ||||
\(46\) | −1306.71 | + | 97.9240i | −0.617536 | + | 0.0462779i | ||||
\(47\) | −1834.64 | + | 2300.57i | −0.830531 | + | 1.04145i | 0.167919 | + | 0.985801i | \(0.446295\pi\) |
−0.998450 | + | 0.0556526i | \(0.982276\pi\) | |||||||
\(48\) | −54.1272 | − | 175.476i | −0.0234927 | − | 0.0761615i | ||||
\(49\) | −1021.48 | − | 1769.25i | −0.425438 | − | 0.736881i | ||||
\(50\) | −1049.59 | − | 605.981i | −0.419836 | − | 0.242392i | ||||
\(51\) | 193.848 | + | 44.2445i | 0.0745282 | + | 0.0170106i | ||||
\(52\) | 1128.81 | − | 170.141i | 0.417460 | − | 0.0629219i | ||||
\(53\) | −1197.20 | + | 1110.84i | −0.426203 | + | 0.395458i | −0.863899 | − | 0.503664i | \(-0.831985\pi\) |
0.437697 | + | 0.899123i | \(0.355794\pi\) | |||||||
\(54\) | −273.995 | − | 343.579i | −0.0939627 | − | 0.117825i | ||||
\(55\) | 2440.56 | − | 3579.64i | 0.806796 | − | 1.18335i | ||||
\(56\) | 665.016 | + | 617.044i | 0.212059 | + | 0.196762i | ||||
\(57\) | −28.4836 | + | 380.087i | −0.00876687 | + | 0.116986i | ||||
\(58\) | −2054.70 | − | 5235.29i | −0.610790 | − | 1.55627i | ||||
\(59\) | −678.152 | − | 2971.18i | −0.194815 | − | 0.853541i | −0.973964 | − | 0.226702i | \(-0.927206\pi\) |
0.779149 | − | 0.626839i | \(-0.215652\pi\) | |||||||
\(60\) | −60.8132 | − | 18.7584i | −0.0168926 | − | 0.00521067i | ||||
\(61\) | 909.681 | + | 1334.26i | 0.244472 | + | 0.358575i | 0.928788 | − | 0.370611i | \(-0.120852\pi\) |
−0.684316 | + | 0.729185i | \(0.739899\pi\) | |||||||
\(62\) | −756.309 | + | 5017.78i | −0.196751 | + | 1.30535i | ||||
\(63\) | 1420.74 | + | 557.601i | 0.357960 | + | 0.140489i | ||||
\(64\) | 1600.85 | + | 770.928i | 0.390832 | + | 0.188215i | ||||
\(65\) | −1656.84 | + | 3440.45i | −0.392150 | + | 0.814309i | ||||
\(66\) | −225.249 | + | 573.924i | −0.0517100 | + | 0.131755i | ||||
\(67\) | 5412.22 | + | 815.760i | 1.20566 | + | 0.181724i | 0.720973 | − | 0.692963i | \(-0.243695\pi\) |
0.484688 | + | 0.874687i | \(0.338933\pi\) | |||||||
\(68\) | 1608.02 | − | 1096.33i | 0.347756 | − | 0.237096i | ||||
\(69\) | −48.3612 | + | 156.783i | −0.0101578 | + | 0.0329307i | ||||
\(70\) | 1641.94 | − | 374.763i | 0.335091 | − | 0.0764822i | ||||
\(71\) | −4553.75 | + | 1787.21i | −0.903342 | + | 0.354536i | −0.771124 | − | 0.636685i | \(-0.780305\pi\) |
−0.132218 | + | 0.991221i | \(0.542210\pi\) | |||||||
\(72\) | 3856.28 | + | 288.988i | 0.743882 | + | 0.0557462i | ||||
\(73\) | 1420.54 | − | 1530.98i | 0.266568 | − | 0.287292i | −0.585556 | − | 0.810632i | \(-0.699124\pi\) |
0.852124 | + | 0.523340i | \(0.175314\pi\) | |||||||
\(74\) | 1801.00 | + | 1227.90i | 0.328890 | + | 0.224233i | ||||
\(75\) | −118.644 | + | 94.6150i | −0.0210922 | + | 0.0168205i | ||||
\(76\) | 2537.56 | + | 2734.84i | 0.439328 | + | 0.473483i | ||||
\(77\) | −639.632 | − | 4243.68i | −0.107882 | − | 0.715749i | ||||
\(78\) | 120.922 | − | 529.796i | 0.0198755 | − | 0.0870802i | ||||
\(79\) | −3539.75 | + | 6131.02i | −0.567176 | + | 0.982378i | 0.429668 | + | 0.902987i | \(0.358631\pi\) |
−0.996844 | + | 0.0793906i | \(0.974703\pi\) | |||||||
\(80\) | 5207.03 | − | 3006.28i | 0.813598 | − | 0.469731i | ||||
\(81\) | 6190.59 | − | 1909.54i | 0.943543 | − | 0.291045i | ||||
\(82\) | −4623.32 | − | 3686.97i | −0.687584 | − | 0.548330i | ||||
\(83\) | −402.172 | − | 5366.61i | −0.0583789 | − | 0.779012i | −0.947177 | − | 0.320712i | \(-0.896078\pi\) |
0.888798 | − | 0.458300i | \(-0.151541\pi\) | |||||||
\(84\) | −56.7977 | + | 27.3523i | −0.00804956 | + | 0.00387646i | ||||
\(85\) | 6510.19i | 0.901064i | ||||||||
\(86\) | −8469.95 | − | 1576.06i | −1.14521 | − | 0.213096i | ||||
\(87\) | −704.193 | −0.0930364 | ||||||||
\(88\) | −4717.96 | − | 9796.94i | −0.609240 | − | 1.26510i | ||||
\(89\) | 4278.39 | − | 320.621i | 0.540133 | − | 0.0404774i | 0.198129 | − | 0.980176i | \(-0.436513\pi\) |
0.342004 | + | 0.939699i | \(0.388894\pi\) | |||||||
\(90\) | 4476.13 | − | 5612.89i | 0.552609 | − | 0.692949i | ||||
\(91\) | 1114.95 | + | 3614.57i | 0.134639 | + | 0.436489i | ||||
\(92\) | 802.979 | + | 1390.80i | 0.0948699 | + | 0.164319i | ||||
\(93\) | 550.253 | + | 317.689i | 0.0636204 | + | 0.0367313i | ||||
\(94\) | 13366.9 | + | 3050.90i | 1.51277 | + | 0.345281i | ||||
\(95\) | −12340.3 | + | 1860.00i | −1.36735 | + | 0.206094i | ||||
\(96\) | −299.160 | + | 277.580i | −0.0324610 | + | 0.0301194i | ||||
\(97\) | −6001.88 | − | 7526.12i | −0.637887 | − | 0.799885i | 0.352850 | − | 0.935680i | \(-0.385213\pi\) |
−0.990737 | + | 0.135795i | \(0.956641\pi\) | |||||||
\(98\) | −5362.28 | + | 7865.01i | −0.558338 | + | 0.818931i | ||||
\(99\) | −13410.4 | − | 12443.1i | −1.36827 | − | 1.26957i | ||||
\(100\) | −111.000 | + | 1481.20i | −0.0111000 | + | 0.148120i | ||||
\(101\) | 6253.82 | + | 15934.5i | 0.613060 | + | 1.56205i | 0.813013 | + | 0.582246i | \(0.197826\pi\) |
−0.199953 | + | 0.979806i | \(0.564079\pi\) | |||||||
\(102\) | −206.155 | − | 903.225i | −0.0198150 | − | 0.0868152i | ||||
\(103\) | −4595.93 | − | 1417.66i | −0.433210 | − | 0.133628i | 0.0704778 | − | 0.997513i | \(-0.477548\pi\) |
−0.503688 | + | 0.863886i | \(0.668024\pi\) | |||||||
\(104\) | 5398.93 | + | 7918.78i | 0.499162 | + | 0.732136i | ||||
\(105\) | 31.4295 | − | 208.521i | 0.00285074 | − | 0.0189135i | ||||
\(106\) | 7083.68 | + | 2780.14i | 0.630445 | + | 0.247432i | ||||
\(107\) | −4632.49 | − | 2230.89i | −0.404620 | − | 0.194855i | 0.220494 | − | 0.975388i | \(-0.429233\pi\) |
−0.625114 | + | 0.780534i | \(0.714947\pi\) | |||||||
\(108\) | −233.683 | + | 485.248i | −0.0200346 | + | 0.0416022i | ||||
\(109\) | 297.196 | − | 757.244i | 0.0250144 | − | 0.0637357i | −0.917821 | − | 0.396995i | \(-0.870053\pi\) |
0.942835 | + | 0.333259i | \(0.108148\pi\) | |||||||
\(110\) | −19961.4 | − | 3008.70i | −1.64970 | − | 0.248653i | ||||
\(111\) | 225.505 | − | 153.746i | 0.0183025 | − | 0.0124784i | ||||
\(112\) | 1755.53 | − | 5691.27i | 0.139949 | − | 0.453705i | ||||
\(113\) | 620.262 | − | 141.571i | 0.0485756 | − | 0.0110871i | −0.198164 | − | 0.980169i | \(-0.563498\pi\) |
0.246740 | + | 0.969082i | \(0.420641\pi\) | |||||||
\(114\) | 1653.20 | − | 648.832i | 0.127208 | − | 0.0499255i | ||||
\(115\) | −5357.04 | − | 401.454i | −0.405069 | − | 0.0303557i | ||||
\(116\) | −4688.23 | + | 5052.71i | −0.348412 | + | 0.375499i | ||||
\(117\) | 13322.5 | + | 9083.13i | 0.973227 | + | 0.663535i | ||||
\(118\) | −11102.1 | + | 8853.61i | −0.797334 | + | 0.635852i | ||||
\(119\) | 4386.31 | + | 4727.32i | 0.309746 | + | 0.333827i | ||||
\(120\) | −79.6337 | − | 528.335i | −0.00553012 | − | 0.0366900i | ||||
\(121\) | −8188.62 | + | 35876.7i | −0.559294 | + | 2.45043i | ||||
\(122\) | 3762.18 | − | 6516.28i | 0.252766 | − | 0.437804i | ||||
\(123\) | −641.229 | + | 370.213i | −0.0423841 | + | 0.0244705i | ||||
\(124\) | 5942.84 | − | 1833.12i | 0.386501 | − | 0.119220i | ||||
\(125\) | −13218.8 | − | 10541.6i | −0.846002 | − | 0.674664i | ||||
\(126\) | −531.441 | − | 7091.59i | −0.0334745 | − | 0.446686i | ||||
\(127\) | 17682.9 | − | 8515.66i | 1.09635 | − | 0.527972i | 0.203838 | − | 0.979005i | \(-0.434659\pi\) |
0.892507 | + | 0.451033i | \(0.148944\pi\) | |||||||
\(128\) | − | 19471.1i | − | 1.18842i | ||||||
\(129\) | −571.153 | + | 915.122i | −0.0343220 | + | 0.0549920i | ||||
\(130\) | 17792.7 | 1.05282 | ||||||||
\(131\) | 3995.87 | + | 8297.52i | 0.232846 | + | 0.483510i | 0.984351 | − | 0.176217i | \(-0.0563861\pi\) |
−0.751505 | + | 0.659727i | \(0.770672\pi\) | |||||||
\(132\) | 753.508 | − | 56.4676i | 0.0432454 | − | 0.00324080i | ||||
\(133\) | −7707.61 | + | 9665.04i | −0.435729 | + | 0.546387i | ||||
\(134\) | −7517.09 | − | 24369.8i | −0.418639 | − | 1.35720i | ||||
\(135\) | −900.804 | − | 1560.24i | −0.0494269 | − | 0.0856098i | ||||
\(136\) | 14150.5 | + | 8169.78i | 0.765056 | + | 0.441705i | ||||
\(137\) | 24868.1 | + | 5675.97i | 1.32495 | + | 0.302412i | 0.825732 | − | 0.564062i | \(-0.190762\pi\) |
0.499221 | + | 0.866474i | \(0.333619\pi\) | |||||||
\(138\) | 755.949 | − | 113.941i | 0.0396949 | − | 0.00598304i | ||||
\(139\) | 1604.73 | − | 1488.97i | 0.0830562 | − | 0.0770649i | −0.637552 | − | 0.770407i | \(-0.720053\pi\) |
0.720609 | + | 0.693342i | \(0.243863\pi\) | |||||||
\(140\) | −1286.93 | − | 1613.76i | −0.0656598 | − | 0.0823347i | ||||
\(141\) | 967.062 | − | 1418.42i | 0.0486425 | − | 0.0713455i | ||||
\(142\) | 16708.9 | + | 15503.6i | 0.828650 | + | 0.768875i | ||||
\(143\) | 3388.22 | − | 45212.6i | 0.165691 | − | 2.21099i | ||||
\(144\) | −9275.38 | − | 23633.3i | −0.447308 | − | 1.13972i | ||||
\(145\) | −5130.59 | − | 22478.6i | −0.244023 | − | 1.06914i | ||||
\(146\) | −9298.93 | − | 2868.34i | −0.436242 | − | 0.134563i | ||||
\(147\) | 671.415 | + | 984.785i | 0.0310711 | + | 0.0455729i | ||||
\(148\) | 398.160 | − | 2641.62i | 0.0181775 | − | 0.120600i | ||||
\(149\) | 16425.5 | + | 6446.54i | 0.739855 | + | 0.290372i | 0.705181 | − | 0.709027i | \(-0.250866\pi\) |
0.0346738 | + | 0.999399i | \(0.488961\pi\) | |||||||
\(150\) | 637.053 | + | 306.789i | 0.0283135 | + | 0.0136351i | ||||
\(151\) | 8875.21 | − | 18429.6i | 0.389246 | − | 0.808278i | −0.610620 | − | 0.791924i | \(-0.709080\pi\) |
0.999866 | − | 0.0163546i | \(-0.00520605\pi\) | |||||||
\(152\) | −11443.2 | + | 29156.9i | −0.495293 | + | 1.26198i | ||||
\(153\) | 27182.5 | + | 4097.11i | 1.16120 | + | 0.175023i | ||||
\(154\) | −16521.9 | + | 11264.5i | −0.696658 | + | 0.474973i | ||||
\(155\) | −6131.95 | + | 19879.3i | −0.255232 | + | 0.827441i | ||||
\(156\) | −649.305 | + | 148.200i | −0.0266808 | + | 0.00608973i | ||||
\(157\) | −12333.7 | + | 4840.62i | −0.500374 | + | 0.196382i | −0.602085 | − | 0.798432i | \(-0.705663\pi\) |
0.101712 | + | 0.994814i | \(0.467568\pi\) | |||||||
\(158\) | 32894.3 | + | 2465.09i | 1.31767 | + | 0.0987458i | ||||
\(159\) | 648.081 | − | 698.465i | 0.0256351 | − | 0.0276281i | ||||
\(160\) | −11040.3 | − | 7527.14i | −0.431261 | − | 0.294029i | ||||
\(161\) | −4160.45 | + | 3317.85i | −0.160505 | + | 0.127998i | ||||
\(162\) | −20531.6 | − | 22127.8i | −0.782334 | − | 0.843156i | ||||
\(163\) | −848.958 | − | 5632.47i | −0.0319529 | − | 0.211994i | 0.967157 | − | 0.254180i | \(-0.0818057\pi\) |
−0.999110 | + | 0.0421865i | \(0.986568\pi\) | |||||||
\(164\) | −1612.69 | + | 7065.67i | −0.0599603 | + | 0.262703i | ||||
\(165\) | −1263.81 | + | 2188.98i | −0.0464208 | + | 0.0804032i | ||||
\(166\) | −21716.1 | + | 12537.8i | −0.788072 | + | 0.454994i | ||||
\(167\) | 12324.9 | − | 3801.73i | 0.441927 | − | 0.136316i | −0.0658031 | − | 0.997833i | \(-0.520961\pi\) |
0.507730 | + | 0.861516i | \(0.330485\pi\) | |||||||
\(168\) | −413.797 | − | 329.992i | −0.0146612 | − | 0.0116919i | ||||
\(169\) | 852.003 | + | 11369.2i | 0.0298310 | + | 0.398067i | ||||
\(170\) | 27329.9 | − | 13161.4i | 0.945672 | − | 0.455412i | ||||
\(171\) | 52696.0i | 1.80213i | ||||||||
\(172\) | 2763.67 | + | 10190.6i | 0.0934176 | + | 0.344465i | ||||
\(173\) | −32311.9 | −1.07962 | −0.539809 | − | 0.841788i | \(-0.681503\pi\) | ||||
−0.539809 | + | 0.841788i | \(0.681503\pi\) | |||||||
\(174\) | 1423.64 | + | 2956.22i | 0.0470220 | + | 0.0976423i | ||||
\(175\) | −4908.02 | + | 367.805i | −0.160262 | + | 0.0120100i | ||||
\(176\) | −44510.1 | + | 55813.9i | −1.43692 | + | 1.80184i | ||||
\(177\) | 524.076 | + | 1699.01i | 0.0167281 | + | 0.0542313i | ||||
\(178\) | −9995.44 | − | 17312.6i | −0.315473 | − | 0.546415i | ||||
\(179\) | 7576.95 | + | 4374.56i | 0.236477 | + | 0.136530i | 0.613556 | − | 0.789651i | \(-0.289738\pi\) |
−0.377080 | + | 0.926181i | \(0.623072\pi\) | |||||||
\(180\) | −8578.00 | − | 1957.87i | −0.264753 | − | 0.0604282i | ||||
\(181\) | 8728.55 | − | 1315.62i | 0.266431 | − | 0.0401580i | −0.0144680 | − | 0.999895i | \(-0.504605\pi\) |
0.280899 | + | 0.959737i | \(0.409367\pi\) | |||||||
\(182\) | 12920.0 | − | 11988.0i | 0.390049 | − | 0.361913i | ||||
\(183\) | −587.408 | − | 736.587i | −0.0175403 | − | 0.0219949i | ||||
\(184\) | −7595.26 | + | 11140.2i | −0.224340 | + | 0.329046i | ||||
\(185\) | 6550.73 | + | 6078.19i | 0.191402 | + | 0.177595i | ||||
\(186\) | 221.239 | − | 2952.23i | 0.00639494 | − | 0.0853345i | ||||
\(187\) | −28239.8 | − | 71953.9i | −0.807567 | − | 2.05765i | ||||
\(188\) | −3739.11 | − | 16382.1i | −0.105792 | − | 0.463505i | ||||
\(189\) | −1705.34 | − | 526.028i | −0.0477405 | − | 0.0147260i | ||||
\(190\) | 32756.3 | + | 48044.6i | 0.907375 | + | 1.33088i | ||||
\(191\) | 6629.11 | − | 43981.3i | 0.181714 | − | 1.20559i | −0.692994 | − | 0.720943i | \(-0.743709\pi\) |
0.874708 | − | 0.484650i | \(-0.161053\pi\) | |||||||
\(192\) | −964.958 | − | 378.718i | −0.0261762 | − | 0.0102734i | ||||
\(193\) | −37452.4 | − | 18036.1i | −1.00546 | − | 0.484204i | −0.142672 | − | 0.989770i | \(-0.545569\pi\) |
−0.862788 | + | 0.505566i | \(0.831284\pi\) | |||||||
\(194\) | −19461.0 | + | 40411.3i | −0.517086 | + | 1.07374i | ||||
\(195\) | 813.919 | − | 2073.83i | 0.0214048 | − | 0.0545387i | ||||
\(196\) | 11536.0 | + | 1738.78i | 0.300292 | + | 0.0452618i | ||||
\(197\) | 750.996 | − | 512.020i | 0.0193511 | − | 0.0131933i | −0.553606 | − | 0.832779i | \(-0.686749\pi\) |
0.572957 | + | 0.819585i | \(0.305796\pi\) | |||||||
\(198\) | −25124.9 | + | 81453.0i | −0.640876 | + | 2.07767i | ||||
\(199\) | −33282.8 | + | 7596.59i | −0.840454 | + | 0.191828i | −0.621016 | − | 0.783798i | \(-0.713280\pi\) |
−0.219438 | + | 0.975626i | \(0.570423\pi\) | |||||||
\(200\) | −11608.4 | + | 4555.97i | −0.290211 | + | 0.113899i | ||||
\(201\) | −3184.30 | − | 238.630i | −0.0788173 | − | 0.00590654i | ||||
\(202\) | 54250.2 | − | 58467.8i | 1.32953 | − | 1.43289i | ||||
\(203\) | −18870.7 | − | 12865.8i | −0.457927 | − | 0.312210i | ||||
\(204\) | −887.722 | + | 707.934i | −0.0213313 | + | 0.0170111i | ||||
\(205\) | −16489.5 | − | 17771.4i | −0.392373 | − | 0.422877i | ||||
\(206\) | 3340.06 | + | 22159.8i | 0.0787081 | + | 0.522194i | ||||
\(207\) | −5047.61 | + | 22115.0i | −0.117800 | + | 0.516115i | ||||
\(208\) | 31460.9 | − | 54491.9i | 0.727184 | − | 1.25952i | ||||
\(209\) | 128323. | − | 74087.3i | 2.93773 | − | 1.69610i | ||||
\(210\) | −938.915 | + | 289.617i | −0.0212906 | + | 0.00656728i | ||||
\(211\) | −62573.2 | − | 49900.5i | −1.40548 | − | 1.12083i | −0.976005 | − | 0.217750i | \(-0.930128\pi\) |
−0.429472 | − | 0.903080i | \(-0.641300\pi\) | |||||||
\(212\) | −696.954 | − | 9300.21i | −0.0155072 | − | 0.206929i | ||||
\(213\) | 2571.37 | − | 1238.31i | 0.0566768 | − | 0.0272941i | ||||
\(214\) | 23957.4i | 0.523134i | ||||||||
\(215\) | −33373.0 | − | 11564.4i | −0.721968 | − | 0.250177i | ||||
\(216\) | −4521.76 | −0.0969169 | ||||||||
\(217\) | 8941.22 | + | 18566.6i | 0.189879 | + | 0.394288i | ||||
\(218\) | −3779.76 | + | 283.254i | −0.0795337 | + | 0.00596022i | ||||
\(219\) | −759.697 | + | 952.630i | −0.0158399 | + | 0.0198626i | ||||
\(220\) | 7292.40 | + | 23641.4i | 0.150669 | + | 0.488458i | ||||
\(221\) | 34064.8 | + | 59001.9i | 0.697463 | + | 1.20804i | ||||
\(222\) | −1101.32 | − | 635.850i | −0.0223465 | − | 0.0129018i | ||||
\(223\) | 60255.1 | + | 13752.8i | 1.21167 | + | 0.276556i | 0.780176 | − | 0.625560i | \(-0.215130\pi\) |
0.431494 | + | 0.902116i | \(0.357987\pi\) | |||||||
\(224\) | −13088.3 | + | 1972.74i | −0.260848 | + | 0.0393165i | ||||
\(225\) | −15379.6 | + | 14270.2i | −0.303794 | + | 0.281880i | ||||
\(226\) | −1848.28 | − | 2317.66i | −0.0361868 | − | 0.0453768i | ||||
\(227\) | 21575.0 | − | 31644.7i | 0.418696 | − | 0.614115i | −0.557715 | − | 0.830032i | \(-0.688322\pi\) |
0.976412 | + | 0.215918i | \(0.0692743\pi\) | |||||||
\(228\) | −1595.54 | − | 1480.45i | −0.0306930 | − | 0.0284789i | ||||
\(229\) | 1607.83 | − | 21455.0i | 0.0306597 | − | 0.409126i | −0.960667 | − | 0.277704i | \(-0.910427\pi\) |
0.991327 | − | 0.131422i | \(-0.0419543\pi\) | |||||||
\(230\) | 9144.80 | + | 23300.6i | 0.172870 | + | 0.440464i | ||||
\(231\) | 557.145 | + | 2441.01i | 0.0104411 | + | 0.0457452i | ||||
\(232\) | −55297.7 | − | 17057.1i | −1.02738 | − | 0.316905i | ||||
\(233\) | 29733.0 | + | 43610.2i | 0.547679 | + | 0.803298i | 0.995884 | − | 0.0906329i | \(-0.0288890\pi\) |
−0.448205 | + | 0.893931i | \(0.647937\pi\) | |||||||
\(234\) | 11197.6 | − | 74291.2i | 0.204500 | − | 1.35677i | ||||
\(235\) | 52323.3 | + | 20535.4i | 0.947457 | + | 0.371850i | ||||
\(236\) | 15679.8 | + | 7551.00i | 0.281525 | + | 0.135575i | ||||
\(237\) | 1792.06 | − | 3721.25i | 0.0319048 | − | 0.0662509i | ||||
\(238\) | 10977.8 | − | 27970.9i | 0.193803 | − | 0.493801i | ||||
\(239\) | −11743.3 | − | 1770.02i | −0.205587 | − | 0.0309872i | 0.0454415 | − | 0.998967i | \(-0.485531\pi\) |
−0.251028 | + | 0.967980i | \(0.580769\pi\) | |||||||
\(240\) | −2898.29 | + | 1976.02i | −0.0503175 | + | 0.0343059i | ||||
\(241\) | −14837.3 | + | 48101.3i | −0.255459 | + | 0.828176i | 0.733462 | + | 0.679731i | \(0.237903\pi\) |
−0.988921 | + | 0.148446i | \(0.952573\pi\) | |||||||
\(242\) | 167166. | − | 38154.5i | 2.85441 | − | 0.651501i | ||||
\(243\) | −10629.7 | + | 4171.85i | −0.180015 | + | 0.0706507i | ||||
\(244\) | −9195.88 | − | 689.136i | −0.154459 | − | 0.0115751i | ||||
\(245\) | −26543.6 | + | 28607.2i | −0.442209 | + | 0.476588i | ||||
\(246\) | 2850.51 | + | 1943.45i | 0.0471034 | + | 0.0321146i | ||||
\(247\) | −102108. | + | 81428.3i | −1.67365 | + | 1.33469i | ||||
\(248\) | 35514.3 | + | 38275.3i | 0.577430 | + | 0.622322i | ||||
\(249\) | 467.954 | + | 3104.67i | 0.00754752 | + | 0.0500745i | ||||
\(250\) | −17530.1 | + | 76804.4i | −0.280482 | + | 1.22887i | ||||
\(251\) | 13872.9 | − | 24028.5i | 0.220201 | − | 0.381399i | −0.734668 | − | 0.678427i | \(-0.762662\pi\) |
0.954869 | + | 0.297028i | \(0.0959954\pi\) | |||||||
\(252\) | −7547.98 | + | 4357.83i | −0.118858 | + | 0.0686229i | ||||
\(253\) | 60950.1 | − | 18800.6i | 0.952211 | − | 0.293718i | ||||
\(254\) | −71497.9 | − | 57017.7i | −1.10822 | − | 0.883775i | ||||
\(255\) | −283.835 | − | 3787.52i | −0.00436501 | − | 0.0582471i | ||||
\(256\) | −56126.5 | + | 27029.1i | −0.856422 | + | 0.412431i | ||||
\(257\) | − | 46848.9i | − | 0.709305i | −0.934998 | − | 0.354653i | \(-0.884599\pi\) | ||
0.934998 | − | 0.354653i | \(-0.115401\pi\) | |||||||
\(258\) | 4996.38 | + | 547.645i | 0.0750613 | + | 0.00822734i | ||||
\(259\) | 8852.00 | 0.131960 | ||||||||
\(260\) | −9461.39 | − | 19646.8i | −0.139961 | − | 0.290633i | ||||
\(261\) | −97085.6 | + | 7275.56i | −1.42519 | + | 0.106803i | ||||
\(262\) | 26754.9 | − | 33549.5i | 0.389763 | − | 0.488747i | ||||
\(263\) | −2649.99 | − | 8591.05i | −0.0383118 | − | 0.124204i | 0.934397 | − | 0.356234i | \(-0.115939\pi\) |
−0.972709 | + | 0.232030i | \(0.925463\pi\) | |||||||
\(264\) | 3171.96 | + | 5493.99i | 0.0455113 | + | 0.0788279i | ||||
\(265\) | 27017.6 | + | 15598.6i | 0.384728 | + | 0.222123i | ||||
\(266\) | 56156.2 | + | 12817.3i | 0.793660 | + | 0.181148i | ||||
\(267\) | −2475.12 | + | 373.064i | −0.0347195 | + | 0.00523312i | ||||
\(268\) | −22912.0 | + | 21259.2i | −0.319002 | + | 0.295991i | ||||
\(269\) | −62043.2 | − | 77799.7i | −0.857412 | − | 1.07516i | −0.996392 | − | 0.0848652i | \(-0.972954\pi\) |
0.138981 | − | 0.990295i | \(-0.455617\pi\) | |||||||
\(270\) | −4728.80 | + | 6935.87i | −0.0648669 | + | 0.0951423i | ||||
\(271\) | 1468.50 | + | 1362.57i | 0.0199956 | + | 0.0185532i | 0.690107 | − | 0.723707i | \(-0.257563\pi\) |
−0.670112 | + | 0.742260i | \(0.733754\pi\) | |||||||
\(272\) | 8016.49 | − | 106973.i | 0.108354 | − | 1.44589i | ||||
\(273\) | −806.247 | − | 2054.28i | −0.0108179 | − | 0.0275635i | ||||
\(274\) | −26446.9 | − | 115872.i | −0.352269 | − | 1.54339i | ||||
\(275\) | 56372.8 | + | 17388.7i | 0.745425 | + | 0.229933i | ||||
\(276\) | −527.796 | − | 774.134i | −0.00692864 | − | 0.0101624i | ||||
\(277\) | −2763.89 | + | 18337.2i | −0.0360214 | + | 0.238986i | −0.999595 | − | 0.0284568i | \(-0.990941\pi\) |
0.963574 | + | 0.267443i | \(0.0861788\pi\) | |||||||
\(278\) | −9494.95 | − | 3726.49i | −0.122858 | − | 0.0482182i | ||||
\(279\) | 79144.5 | + | 38114.0i | 1.01675 | + | 0.489639i | ||||
\(280\) | 7518.87 | − | 15613.1i | 0.0959040 | − | 0.199147i | ||||
\(281\) | −10754.6 | + | 27402.2i | −0.136201 | + | 0.347034i | −0.982659 | − | 0.185421i | \(-0.940635\pi\) |
0.846458 | + | 0.532455i | \(0.178730\pi\) | |||||||
\(282\) | −7909.63 | − | 1192.19i | −0.0994622 | − | 0.0149915i | ||||
\(283\) | 27896.7 | − | 19019.7i | 0.348322 | − | 0.237482i | −0.376502 | − | 0.926416i | \(-0.622873\pi\) |
0.724824 | + | 0.688934i | \(0.241921\pi\) | |||||||
\(284\) | 8234.07 | − | 26694.2i | 0.102089 | − | 0.330964i | ||||
\(285\) | 7098.28 | − | 1620.14i | 0.0873904 | − | 0.0199463i | ||||
\(286\) | −196654. | + | 77180.8i | −2.40419 | + | 0.943577i | ||||
\(287\) | −23947.4 | − | 1794.61i | −0.290733 | − | 0.0217874i | ||||
\(288\) | −38376.7 | + | 41360.3i | −0.462682 | + | 0.498653i | ||||
\(289\) | 26960.2 | + | 18381.1i | 0.322795 | + | 0.220078i | ||||
\(290\) | −83993.3 | + | 66982.5i | −0.998732 | + | 0.796462i | ||||
\(291\) | 3819.92 | + | 4116.89i | 0.0451095 | + | 0.0486165i | ||||
\(292\) | 1777.54 | + | 11793.2i | 0.0208475 | + | 0.138314i | ||||
\(293\) | −29171.6 | + | 127809.i | −0.339802 | + | 1.48877i | 0.459684 | + | 0.888083i | \(0.347963\pi\) |
−0.799485 | + | 0.600686i | \(0.794894\pi\) | |||||||
\(294\) | 2776.78 | − | 4809.52i | 0.0321252 | − | 0.0556425i | ||||
\(295\) | −50416.0 | + | 29107.7i | −0.579328 | + | 0.334475i | ||||
\(296\) | 21432.1 | − | 6610.94i | 0.244614 | − | 0.0754535i | ||||
\(297\) | 16724.1 | + | 13337.0i | 0.189597 | + | 0.151198i | ||||
\(298\) | −6144.11 | − | 81987.5i | −0.0691873 | − | 0.923241i | ||||
\(299\) | −50651.5 | + | 24392.5i | −0.566565 | + | 0.272844i | ||||
\(300\) | − | 866.575i | − | 0.00962861i | ||||||
\(301\) | −32025.2 | + | 14088.0i | −0.353475 | + | 0.155495i | ||||
\(302\) | −95310.4 | −1.04502 | ||||||||
\(303\) | −4333.09 | − | 8997.75i | −0.0471968 | − | 0.0980051i | ||||
\(304\) | 205061. | − | 15367.2i | 2.21889 | − | 0.166283i | ||||
\(305\) | 19232.9 | − | 24117.3i | 0.206750 | − | 0.259256i | ||||
\(306\) | −37754.1 | − | 122396.i | −0.403201 | − | 1.30714i | ||||
\(307\) | −14395.9 | − | 24934.4i | −0.152743 | − | 0.264558i | 0.779492 | − | 0.626412i | \(-0.215477\pi\) |
−0.932235 | + | 0.361854i | \(0.882144\pi\) | |||||||
\(308\) | 21224.0 | + | 12253.7i | 0.223730 | + | 0.129171i | ||||
\(309\) | 2735.64 | + | 624.391i | 0.0286511 | + | 0.00653943i | ||||
\(310\) | 95850.4 | − | 14447.1i | 0.997403 | − | 0.150334i | ||||
\(311\) | 29700.9 | − | 27558.4i | 0.307078 | − | 0.284927i | −0.511547 | − | 0.859255i | \(-0.670927\pi\) |
0.818625 | + | 0.574329i | \(0.194737\pi\) | |||||||
\(312\) | −3486.25 | − | 4371.62i | −0.0358137 | − | 0.0449090i | ||||
\(313\) | −65684.1 | + | 96340.9i | −0.670458 | + | 0.983382i | 0.328782 | + | 0.944406i | \(0.393362\pi\) |
−0.999240 | + | 0.0389759i | \(0.987590\pi\) | |||||||
\(314\) | 45255.6 | + | 41991.1i | 0.459001 | + | 0.425890i | ||||
\(315\) | 2178.72 | − | 29073.1i | 0.0219574 | − | 0.293001i | ||||
\(316\) | −14769.8 | − | 37632.9i | −0.147911 | − | 0.376872i | ||||
\(317\) | −15931.0 | − | 69798.3i | −0.158535 | − | 0.694586i | −0.990240 | − | 0.139370i | \(-0.955492\pi\) |
0.831706 | − | 0.555217i | \(-0.187365\pi\) | |||||||
\(318\) | −4242.37 | − | 1308.60i | −0.0419522 | − | 0.0129405i | ||||
\(319\) | 154213. | + | 226189.i | 1.51545 | + | 2.22275i | ||||
\(320\) | 5058.62 | − | 33561.8i | 0.0494006 | − | 0.327752i | ||||
\(321\) | 2792.37 | + | 1095.92i | 0.0270996 | + | 0.0106358i | ||||
\(322\) | 22339.4 | + | 10758.1i | 0.215457 | + | 0.103759i | ||||
\(323\) | −96606.6 | + | 200606.i | −0.925980 | + | 1.92282i | ||||
\(324\) | −13515.8 | + | 34437.7i | −0.128751 | + | 0.328053i | ||||
\(325\) | −51416.2 | − | 7749.74i | −0.486781 | − | 0.0733704i | ||||
\(326\) | −21928.9 | + | 14950.9i | −0.206339 | + | 0.140680i | ||||
\(327\) | −139.889 | + | 453.509i | −0.00130824 | + | 0.00424121i | ||||
\(328\) | −59320.7 | + | 13539.6i | −0.551390 | + | 0.125851i | ||||
\(329\) | 51830.1 | − | 20341.8i | 0.478839 | − | 0.187931i | ||||
\(330\) | 11744.4 | + | 880.119i | 0.107845 | + | 0.00808190i | ||||
\(331\) | 48385.8 | − | 52147.5i | 0.441633 | − | 0.475967i | −0.472529 | − | 0.881315i | \(-0.656659\pi\) |
0.914163 | + | 0.405347i | \(0.132849\pi\) | |||||||
\(332\) | 25392.0 | + | 17312.0i | 0.230367 | + | 0.157062i | ||||
\(333\) | 29501.4 | − | 23526.6i | 0.266044 | − | 0.212163i | ||||
\(334\) | −40876.5 | − | 44054.4i | −0.366422 | − | 0.394909i | ||||
\(335\) | −15582.8 | − | 103385.i | −0.138853 | − | 0.921229i | ||||
\(336\) | −773.203 | + | 3387.62i | −0.00684881 | + | 0.0300066i | ||||
\(337\) | 8248.67 | − | 14287.1i | 0.0726313 | − | 0.125801i | −0.827422 | − | 0.561580i | \(-0.810194\pi\) |
0.900054 | + | 0.435779i | \(0.143527\pi\) | |||||||
\(338\) | 46005.7 | − | 26561.4i | 0.402697 | − | 0.232497i | ||||
\(339\) | −354.685 | + | 109.406i | −0.00308634 | + | 0.000952010i | ||||
\(340\) | −29065.8 | − | 23179.2i | −0.251434 | − | 0.200512i | ||||
\(341\) | −18458.7 | − | 246315.i | −0.158743 | − | 2.11827i | ||||
\(342\) | 221219. | − | 106534.i | 1.89134 | − | 0.910824i | ||||
\(343\) | 84088.8i | 0.714743i | ||||||||
\(344\) | −67016.8 | + | 58026.7i | −0.566326 | + | 0.490355i | ||||
\(345\) | 3134.13 | 0.0263317 | ||||||||
\(346\) | 65323.6 | + | 135646.i | 0.545655 | + | 1.13306i | ||||
\(347\) | 88263.3 | − | 6614.42i | 0.733029 | − | 0.0549329i | 0.297015 | − | 0.954873i | \(-0.404009\pi\) |
0.436014 | + | 0.899940i | \(0.356390\pi\) | |||||||
\(348\) | 2507.24 | − | 3143.98i | 0.0207032 | − | 0.0259610i | ||||
\(349\) | −10713.5 | − | 34732.2i | −0.0879587 | − | 0.285155i | 0.900897 | − | 0.434033i | \(-0.142910\pi\) |
−0.988856 | + | 0.148878i | \(0.952434\pi\) | |||||||
\(350\) | 11466.4 | + | 19860.4i | 0.0936034 | + | 0.162126i | ||||
\(351\) | −16328.0 | − | 9426.98i | −0.132531 | − | 0.0765171i | ||||
\(352\) | 154674. | + | 35303.3i | 1.24834 | + | 0.284925i | ||||
\(353\) | 164216. | − | 24751.6i | 1.31785 | − | 0.198634i | 0.547796 | − | 0.836612i | \(-0.315467\pi\) |
0.770054 | + | 0.637978i | \(0.220229\pi\) | |||||||
\(354\) | 6072.99 | − | 5634.91i | 0.0484614 | − | 0.0449656i | ||||
\(355\) | 58262.5 | + | 73058.9i | 0.462309 | + | 0.579718i | ||||
\(356\) | −13801.5 | + | 20243.1i | −0.108900 | + | 0.159727i | ||||
\(357\) | −2757.98 | − | 2559.03i | −0.0216399 | − | 0.0200789i | ||||
\(358\) | 3046.45 | − | 40652.1i | 0.0237700 | − | 0.317188i | ||||
\(359\) | −37005.3 | − | 94288.0i | −0.287128 | − | 0.731590i | −0.999555 | − | 0.0298432i | \(-0.990499\pi\) |
0.712427 | − | 0.701746i | \(-0.247596\pi\) | |||||||
\(360\) | −16437.6 | − | 72017.7i | −0.126833 | − | 0.555692i | ||||
\(361\) | −283325. | − | 87394.3i | −2.17406 | − | 0.670608i | ||||
\(362\) | −23169.2 | − | 33982.9i | −0.176804 | − | 0.259324i | ||||
\(363\) | 3199.82 | − | 21229.4i | 0.0242836 | − | 0.161111i | ||||
\(364\) | −20107.5 | − | 7891.62i | −0.151760 | − | 0.0595612i | ||||
\(365\) | −35944.0 | − | 17309.7i | −0.269799 | − | 0.129928i | ||||
\(366\) | −1904.67 | + | 3955.08i | −0.0142186 | + | 0.0295252i | ||||
\(367\) | 64776.7 | − | 165048.i | 0.480935 | − | 1.22540i | −0.460334 | − | 0.887746i | \(-0.652270\pi\) |
0.941269 | − | 0.337657i | \(-0.109634\pi\) | |||||||
\(368\) | 87530.2 | + | 13193.1i | 0.646342 | + | 0.0974203i | ||||
\(369\) | −84579.9 | + | 57665.6i | −0.621176 | + | 0.423510i | ||||
\(370\) | 12273.0 | − | 39788.2i | 0.0896495 | − | 0.290637i | ||||
\(371\) | 30128.3 | − | 6876.58i | 0.218890 | − | 0.0499603i | ||||
\(372\) | −3377.52 | + | 1325.58i | −0.0244069 | + | 0.00957899i | ||||
\(373\) | 259787. | + | 19468.4i | 1.86724 | + | 0.139930i | 0.959878 | − | 0.280419i | \(-0.0904735\pi\) |
0.907362 | + | 0.420350i | \(0.138093\pi\) | |||||||
\(374\) | −244973. | + | 264018.i | −1.75136 | + | 1.88751i | ||||
\(375\) | 8150.06 | + | 5556.62i | 0.0579560 | + | 0.0395137i | ||||
\(376\) | 110297. | − | 87959.0i | 0.780169 | − | 0.622164i | ||||
\(377\) | −164119. | − | 176878.i | −1.15472 | − | 1.24449i | ||||
\(378\) | 1239.34 | + | 8222.50i | 0.00867377 | + | 0.0575467i | ||||
\(379\) | 19956.0 | − | 87433.1i | 0.138930 | − | 0.608692i | −0.856741 | − | 0.515746i | \(-0.827515\pi\) |
0.995671 | − | 0.0929454i | \(-0.0296282\pi\) | |||||||
\(380\) | 35632.7 | − | 61717.7i | 0.246764 | − | 0.427408i | ||||
\(381\) | −9916.36 | + | 5725.21i | −0.0683129 | + | 0.0394404i | ||||
\(382\) | −198036. | + | 61086.1i | −1.35712 | + | 0.418616i | ||||
\(383\) | −20688.2 | − | 16498.3i | −0.141034 | − | 0.112471i | 0.550431 | − | 0.834880i | \(-0.314463\pi\) |
−0.691466 | + | 0.722409i | \(0.743035\pi\) | |||||||
\(384\) | 848.912 | + | 11327.9i | 0.00575705 | + | 0.0768225i | ||||
\(385\) | −73860.5 | + | 35569.3i | −0.498300 | + | 0.239969i | ||||
\(386\) | 193689.i | 1.29996i | ||||||||
\(387\) | −69288.8 | + | 132067.i | −0.462638 | + | 0.881805i | ||||
\(388\) | 54970.9 | 0.365149 | ||||||||
\(389\) | −75903.8 | − | 157616.i | −0.501608 | − | 1.04160i | −0.986000 | − | 0.166748i | \(-0.946673\pi\) |
0.484392 | − | 0.874851i | \(-0.339041\pi\) | |||||||
\(390\) | −10351.5 | + | 775.735i | −0.0680570 | + | 0.00510017i | ||||
\(391\) | −59758.5 | + | 74934.8i | −0.390882 | + | 0.490151i | ||||
\(392\) | 28870.1 | + | 93594.7i | 0.187878 | + | 0.609087i | ||||
\(393\) | −2686.49 | − | 4653.14i | −0.0173940 | − | 0.0301273i | ||||
\(394\) | −3667.73 | − | 2117.57i | −0.0236268 | − | 0.0136410i | ||||
\(395\) | 131843. | + | 30092.3i | 0.845011 | + | 0.192868i | ||||
\(396\) | 103301. | − | 15570.2i | 0.658741 | − | 0.0992893i | ||||
\(397\) | −47949.9 | + | 44491.0i | −0.304233 | + | 0.282287i | −0.817484 | − | 0.575952i | \(-0.804632\pi\) |
0.513250 | + | 0.858239i | \(0.328441\pi\) | |||||||
\(398\) | 99177.3 | + | 124364.i | 0.626103 | + | 0.785109i | ||||
\(399\) | 4062.77 | − | 5958.99i | 0.0255198 | − | 0.0374306i | ||||
\(400\) | 60015.8 | + | 55686.5i | 0.375099 | + | 0.348041i | ||||
\(401\) | −16593.0 | + | 221418.i | −0.103190 | + | 1.37697i | 0.669794 | + | 0.742547i | \(0.266382\pi\) |
−0.772984 | + | 0.634425i | \(0.781237\pi\) | |||||||
\(402\) | 5435.80 | + | 13850.2i | 0.0336365 | + | 0.0857045i | ||||
\(403\) | 48445.1 | + | 212252.i | 0.298291 | + | 1.30690i | ||||
\(404\) | −93408.5 | − | 28812.7i | −0.572300 | − | 0.176531i | ||||
\(405\) | −69711.7 | − | 102248.i | −0.425006 | − | 0.623370i | ||||
\(406\) | −15860.9 | + | 105230.i | −0.0962223 | + | 0.638393i | ||||
\(407\) | −98767.8 | − | 38763.5i | −0.596248 | − | 0.234010i | ||||
\(408\) | −8588.69 | − | 4136.09i | −0.0515949 | − | 0.0248468i | ||||
\(409\) | 34244.5 | − | 71109.3i | 0.204712 | − | 0.425089i | −0.773184 | − | 0.634182i | \(-0.781337\pi\) |
0.977896 | + | 0.209093i | \(0.0670512\pi\) | |||||||
\(410\) | −41268.7 | + | 105151.i | −0.245501 | + | 0.625526i | ||||
\(411\) | −14715.3 | − | 2217.97i | −0.0871133 | − | 0.0131302i | ||||
\(412\) | 22692.9 | − | 15471.8i | 0.133689 | − | 0.0911476i | ||||
\(413\) | −16997.5 | + | 55104.7i | −0.0996520 | + | 0.323064i | ||||
\(414\) | 103044. | − | 23519.1i | 0.601204 | − | 0.137221i | ||||
\(415\) | −95695.0 | + | 37557.5i | −0.555640 | + | 0.218072i | ||||
\(416\) | −139444. | − | 10449.9i | −0.805775 | − | 0.0603845i | ||||
\(417\) | −868.686 | + | 936.221i | −0.00499564 | + | 0.00538402i | ||||
\(418\) | −570446. | − | 388923.i | −3.26484 | − | 2.22593i | ||||
\(419\) | −68545.8 | + | 54663.4i | −0.390439 | + | 0.311364i | −0.798960 | − | 0.601384i | \(-0.794616\pi\) |
0.408521 | + | 0.912749i | \(0.366045\pi\) | |||||||
\(420\) | 819.072 | + | 882.750i | 0.00464326 | + | 0.00500425i | ||||
\(421\) | 1121.39 | + | 7439.97i | 0.00632695 | + | 0.0419766i | 0.991772 | − | 0.128020i | \(-0.0408623\pi\) |
−0.985445 | + | 0.169997i | \(0.945624\pi\) | |||||||
\(422\) | −82981.5 | + | 363566.i | −0.465968 | + | 2.04154i | ||||
\(423\) | 118672. | − | 205546.i | 0.663236 | − | 1.14876i | ||||
\(424\) | 67809.8 | − | 39150.0i | 0.377191 | − | 0.217771i | ||||
\(425\) | −84708.9 | + | 26129.2i | −0.468977 | + | 0.144660i | ||||
\(426\) | −10396.9 | − | 8291.24i | −0.0572907 | − | 0.0456878i | ||||
\(427\) | −2283.48 | − | 30471.0i | −0.0125240 | − | 0.167121i | ||||
\(428\) | 26453.9 | − | 12739.5i | 0.144412 | − | 0.0695451i | ||||
\(429\) | 26451.6i | 0.143727i | ||||||||
\(430\) | 18921.1 | + | 163480.i | 0.102332 | + | 0.884153i | ||||
\(431\) | 216669. | 1.16639 | 0.583194 | − | 0.812333i | \(-0.301803\pi\) | ||||
0.583194 | + | 0.812333i | \(0.301803\pi\) | |||||||
\(432\) | 12880.4 | + | 26746.4i | 0.0690179 | + | 0.143317i | ||||
\(433\) | 228924. | − | 17155.5i | 1.22100 | − | 0.0915014i | 0.551412 | − | 0.834233i | \(-0.314089\pi\) |
0.669589 | + | 0.742732i | \(0.266470\pi\) | |||||||
\(434\) | 59867.0 | − | 75070.9i | 0.317840 | − | 0.398559i | ||||
\(435\) | 3964.92 | + | 12854.0i | 0.0209535 | + | 0.0679296i | ||||
\(436\) | 2322.68 | + | 4023.01i | 0.0122185 | + | 0.0211630i | ||||
\(437\) | −159115. | − | 91865.1i | −0.833198 | − | 0.481047i | ||||
\(438\) | 5535.01 | + | 1263.33i | 0.0288516 | + | 0.00658520i | ||||
\(439\) | 119611. | − | 18028.4i | 0.620641 | − | 0.0935466i | 0.168808 | − | 0.985649i | \(-0.446008\pi\) |
0.451833 | + | 0.892102i | \(0.350770\pi\) | |||||||
\(440\) | −152264. | + | 141280.i | −0.786488 | + | 0.729754i | ||||
\(441\) | 102741. | + | 128833.i | 0.528284 | + | 0.662447i | ||||
\(442\) | 178824. | − | 262287.i | 0.915338 | − | 1.34255i | ||||
\(443\) | −203956. | − | 189243.i | −1.03927 | − | 0.964302i | −0.0398796 | − | 0.999204i | \(-0.512697\pi\) |
−0.999391 | + | 0.0349026i | \(0.988888\pi\) | |||||||
\(444\) | −116.472 | + | 1554.21i | −0.000590819 | + | 0.00788393i | ||||
\(445\) | −29941.8 | − | 76290.4i | −0.151202 | − | 0.385256i | ||||
\(446\) | −64080.7 | − | 280756.i | −0.322150 | − | 1.41143i | ||||
\(447\) | −9837.15 | − | 3034.36i | −0.0492328 | − | 0.0151863i | ||||
\(448\) | −18939.3 | − | 27778.9i | −0.0943644 | − | 0.138407i | ||||
\(449\) | 48158.9 | − | 319513.i | 0.238882 | − | 1.58488i | −0.472019 | − | 0.881588i | \(-0.656475\pi\) |
0.710901 | − | 0.703292i | \(-0.248287\pi\) | |||||||
\(450\) | 90998.9 | + | 35714.4i | 0.449377 | + | 0.176368i | ||||
\(451\) | 259338. | + | 124891.i | 1.27501 | + | 0.614013i | ||||
\(452\) | −1576.34 | + | 3273.31i | −0.00771568 | + | 0.0160218i | ||||
\(453\) | −4359.94 | + | 11108.9i | −0.0212463 | + | 0.0541348i | ||||
\(454\) | −176463. | − | 26597.5i | −0.856133 | − | 0.129041i | ||||
\(455\) | 59700.8 | − | 40703.3i | 0.288375 | − | 0.196611i | ||||
\(456\) | 5386.28 | − | 17461.9i | 0.0259035 | − | 0.0839772i | ||||
\(457\) | 364069. | − | 83096.3i | 1.74322 | − | 0.397878i | 0.771913 | − | 0.635728i | \(-0.219300\pi\) |
0.971302 | + | 0.237850i | \(0.0764427\pi\) | |||||||
\(458\) | −93318.9 | + | 36625.0i | −0.444876 | + | 0.174601i | ||||
\(459\) | −32053.4 | − | 2402.07i | −0.152142 | − | 0.0114015i | ||||
\(460\) | 20865.8 | − | 22488.0i | 0.0986097 | − | 0.106276i | ||||
\(461\) | 11627.1 | + | 7927.22i | 0.0547103 | + | 0.0373009i | 0.590366 | − | 0.807135i | \(-0.298983\pi\) |
−0.535656 | + | 0.844436i | \(0.679936\pi\) | |||||||
\(462\) | 9121.06 | − | 7273.81i | 0.0427328 | − | 0.0340783i | ||||
\(463\) | 95329.3 | + | 102741.i | 0.444697 | + | 0.479270i | 0.915126 | − | 0.403169i | \(-0.132091\pi\) |
−0.470429 | + | 0.882438i | \(0.655901\pi\) | |||||||
\(464\) | 56624.1 | + | 375676.i | 0.263006 | + | 1.74493i | ||||
\(465\) | 2700.75 | − | 11832.8i | 0.0124905 | − | 0.0547243i | ||||
\(466\) | 122967. | − | 212985.i | 0.566260 | − | 0.980792i | ||||
\(467\) | −331094. | + | 191157.i | −1.51816 | + | 0.876511i | −0.518390 | + | 0.855145i | \(0.673468\pi\) |
−0.999772 | + | 0.0213663i | \(0.993198\pi\) | |||||||
\(468\) | −87987.2 | + | 27140.4i | −0.401724 | + | 0.123915i | ||||
\(469\) | −80972.0 | − | 64573.0i | −0.368120 | − | 0.293566i | ||||
\(470\) | −19572.0 | − | 261170.i | −0.0886012 | − | 1.18230i | ||||
\(471\) | 6964.49 | − | 3353.92i | 0.0313941 | − | 0.0151186i | ||||
\(472\) | 146112.i | 0.655844i | ||||||||
\(473\) | 419019. | − | 16949.0i | 1.87289 | − | 0.0757569i | ||||
\(474\) | −19244.8 | −0.0856559 | ||||||||
\(475\) | −73730.8 | − | 153104.i | −0.326785 | − | 0.678576i | ||||
\(476\) | −36723.1 | + | 2752.02i | −0.162078 | + | 0.0121461i | ||||
\(477\) | 82133.2 | − | 102992.i | 0.360979 | − | 0.452654i | ||||
\(478\) | 16310.4 | + | 52877.1i | 0.0713854 | + | 0.231426i | ||||
\(479\) | 100442. | + | 173971.i | 0.437770 | + | 0.758240i | 0.997517 | − | 0.0704236i | \(-0.0224351\pi\) |
−0.559747 | + | 0.828663i | \(0.689102\pi\) | |||||||
\(480\) | 6751.22 | + | 3897.82i | 0.0293022 | + | 0.0169176i | ||||
\(481\) | 91173.7 | + | 20809.8i | 0.394075 | + | 0.0899451i | ||||
\(482\) | 231926. | − | 34957.3i | 0.998289 | − | 0.150468i | ||||
\(483\) | 2275.82 | − | 2111.66i | 0.00975539 | − | 0.00905168i | ||||
\(484\) | −131022. | − | 164296.i | −0.559312 | − | 0.701354i | ||||
\(485\) | −103585. | + | 151931.i | −0.440364 | + | 0.645895i | ||||
\(486\) | 39003.2 | + | 36189.7i | 0.165131 | + | 0.153219i | ||||
\(487\) | −10320.7 | + | 137720.i | −0.0435162 | + | 0.580683i | 0.932243 | + | 0.361834i | \(0.117849\pi\) |
−0.975759 | + | 0.218849i | \(0.929770\pi\) | |||||||
\(488\) | −28285.3 | − | 72069.8i | −0.118774 | − | 0.302631i | ||||
\(489\) | 739.476 | + | 3239.86i | 0.00309248 | + | 0.0135490i | ||||
\(490\) | 173756. | + | 53596.6i | 0.723682 | + | 0.223226i | ||||
\(491\) | 44470.1 | + | 65225.7i | 0.184461 | + | 0.270555i | 0.907320 | − | 0.420441i | \(-0.138125\pi\) |
−0.722859 | + | 0.690996i | \(0.757172\pi\) | |||||||
\(492\) | 630.183 | − | 4180.99i | 0.00260338 | − | 0.0172723i | ||||
\(493\) | −382928. | − | 150288.i | −1.57552 | − | 0.618345i | ||||
\(494\) | 548265. | + | 264031.i | 2.24666 | + | 1.08193i | ||||
\(495\) | −151622. | + | 314847.i | −0.618804 | + | 1.28496i | ||||
\(496\) | 125236. | − | 319097.i | 0.509058 | − | 1.29706i | ||||
\(497\) | 91531.1 | + | 13796.1i | 0.370558 | + | 0.0558526i | ||||
\(498\) | 12087.4 | − | 8241.07i | 0.0487388 | − | 0.0332296i | ||||
\(499\) | 112125. | − | 363500.i | 0.450299 | − | 1.45983i | −0.391569 | − | 0.920149i | \(-0.628068\pi\) |
0.841868 | − | 0.539684i | \(-0.181456\pi\) | |||||||
\(500\) | 94129.6 | − | 21484.5i | 0.376518 | − | 0.0859379i | ||||
\(501\) | −7004.66 | + | 2749.13i | −0.0279069 | + | 0.0109527i | ||||
\(502\) | −128919. | − | 9661.11i | −0.511574 | − | 0.0383371i | ||||
\(503\) | −163801. | + | 176536.i | −0.647413 | + | 0.697745i | −0.968418 | − | 0.249332i | \(-0.919789\pi\) |
0.321005 | + | 0.947077i | \(0.395979\pi\) | |||||||
\(504\) | −60458.7 | − | 41220.1i | −0.238012 | − | 0.162274i | ||||
\(505\) | 255648. | − | 203873.i | 1.00244 | − | 0.799422i | ||||
\(506\) | −202146. | − | 217861.i | −0.789521 | − | 0.850901i | ||||
\(507\) | −991.362 | − | 6577.25i | −0.00385670 | − | 0.0255875i | ||||
\(508\) | −24939.7 | + | 109268.i | −0.0966415 | + | 0.423414i | ||||
\(509\) | −240495. | + | 416549.i | −0.928261 | + | 1.60779i | −0.142030 | + | 0.989862i | \(0.545363\pi\) |
−0.786231 | + | 0.617932i | \(0.787971\pi\) | |||||||
\(510\) | −15326.3 | + | 8848.62i | −0.0589245 | + | 0.0340201i | ||||
\(511\) | −37763.0 | + | 11648.3i | −0.144619 | + | 0.0446090i | ||||
\(512\) | −16632.2 | − | 13263.8i | −0.0634469 | − | 0.0505972i | ||||
\(513\) | −4604.64 | − | 61444.7i | −0.0174969 | − | 0.233480i | ||||
\(514\) | −196673. | + | 94712.7i | −0.744420 | + | 0.358494i | ||||
\(515\) | 91873.7i | 0.346399i | ||||||||
\(516\) | −2052.15 | − | 5808.25i | −0.00770744 | − | 0.0218145i | ||||
\(517\) | −667382. | −2.49685 | ||||||||
\(518\) | −17895.7 | − | 37160.9i | −0.0666946 | − | 0.138493i | ||||
\(519\) | 18798.5 | − | 1408.75i | 0.0697892 | − | 0.00522998i | ||||
\(520\) | 114147. | − | 143136.i | 0.422141 | − | 0.529348i | ||||
\(521\) | −882.377 | − | 2860.60i | −0.00325072 | − | 0.0105386i | 0.953933 | − | 0.300020i | \(-0.0969933\pi\) |
−0.957184 | + | 0.289481i | \(0.906517\pi\) | |||||||
\(522\) | 226817. | + | 392859.i | 0.832405 | + | 1.44177i | ||||
\(523\) | 230890. | + | 133304.i | 0.844115 | + | 0.487350i | 0.858661 | − | 0.512544i | \(-0.171297\pi\) |
−0.0145455 | + | 0.999894i | \(0.504630\pi\) | |||||||
\(524\) | −51272.7 | − | 11702.7i | −0.186734 | − | 0.0426208i | ||||
\(525\) | 2839.37 | − | 427.966i | 0.0103016 | − | 0.00155271i | ||||
\(526\) | −30708.1 | + | 28492.9i | −0.110989 | + | 0.102983i | ||||
\(527\) | 231417. | + | 290188.i | 0.833248 | + | 1.04486i | ||||
\(528\) | 23461.8 | − | 34412.1i | 0.0841576 | − | 0.123436i | ||||
\(529\) | 147161. | + | 136546.i | 0.525875 | + | 0.487941i | ||||
\(530\) | 10862.9 | − | 144955.i | 0.0386718 | − | 0.516039i | ||||
\(531\) | 89807.1 | + | 228825.i | 0.318509 | + | 0.811547i | ||||
\(532\) | −15708.6 | − | 68823.7i | −0.0555026 | − | 0.243173i | ||||
\(533\) | −242434. | − | 74780.9i | −0.853373 | − | 0.263231i | ||||
\(534\) | 6569.98 | + | 9636.39i | 0.0230399 | + | 0.0337934i | ||||
\(535\) | −14638.5 | + | 97120.1i | −0.0511433 | + | 0.339314i | ||||
\(536\) | −244271. | − | 95869.4i | −0.850243 | − | 0.333696i | ||||
\(537\) | −4598.87 | − | 2214.70i | −0.0159479 | − | 0.00768008i | ||||
\(538\) | −201175. | + | 417743.i | −0.695038 | + | 1.44326i | ||||
\(539\) | 169281. | − | 431322.i | 0.582682 | − | 1.48465i | ||||
\(540\) | 10173.2 | + | 1533.36i | 0.0348875 | + | 0.00525845i | ||||
\(541\) | 190217. | − | 129688.i | 0.649913 | − | 0.443103i | −0.192966 | − | 0.981205i | \(-0.561811\pi\) |
0.842880 | + | 0.538102i | \(0.180858\pi\) | |||||||
\(542\) | 2751.28 | − | 8919.43i | 0.00936561 | − | 0.0303626i | ||||
\(543\) | −5020.76 | + | 1145.96i | −0.0170282 | + | 0.00388658i | ||||
\(544\) | −221919. | + | 87096.8i | −0.749889 | + | 0.294310i | ||||
\(545\) | −15495.7 | − | 1161.24i | −0.0521697 | − | 0.00390958i | ||||
\(546\) | −6993.97 | + | 7537.71i | −0.0234606 | + | 0.0252845i | ||||
\(547\) | −60511.1 | − | 41255.8i | −0.202237 | − | 0.137883i | 0.457967 | − | 0.888969i | \(-0.348578\pi\) |
−0.660204 | + | 0.751086i | \(0.729530\pi\) | |||||||
\(548\) | −113883. | + | 90818.4i | −0.379225 | + | 0.302422i | ||||
\(549\) | −88595.0 | − | 95482.7i | −0.293944 | − | 0.316796i | ||||
\(550\) | −40968.5 | − | 271808.i | −0.135433 | − | 0.898540i | ||||
\(551\) | 175472. | − | 768792.i | 0.577968 | − | 2.53225i | ||||
\(552\) | 3933.09 | − | 6812.32i | 0.0129079 | − | 0.0223572i | ||||
\(553\) | 116012. | − | 66979.3i | 0.379360 | − | 0.219023i | ||||
\(554\) | 82567.6 | − | 25468.7i | 0.269023 | − | 0.0829827i | ||||
\(555\) | −4076.10 | − | 3250.58i | −0.0132330 | − | 0.0105530i | ||||
\(556\) | 934.196 | + | 12466.0i | 0.00302196 | + | 0.0403252i | ||||
\(557\) | −494001. | + | 237899.i | −1.59227 | + | 0.766799i | −0.999263 | − | 0.0383957i | \(-0.987775\pi\) |
−0.593011 | + | 0.805194i | \(0.702061\pi\) | |||||||
\(558\) | − | 409304.i | − | 1.31455i | ||||||
\(559\) | −362971. | + | 69816.7i | −1.16158 | + | 0.223427i | ||||
\(560\) | −113770. | −0.362787 | ||||||||
\(561\) | 19566.5 | + | 40630.3i | 0.0621710 | + | 0.129099i | ||||
\(562\) | 136777. | − | 10250.0i | 0.433053 | − | 0.0324528i | ||||
\(563\) | −9070.52 | + | 11374.1i | −0.0286164 | + | 0.0358839i | −0.795934 | − | 0.605384i | \(-0.793020\pi\) |
0.767317 | + | 0.641268i | \(0.221591\pi\) | |||||||
\(564\) | 2889.59 | + | 9367.82i | 0.00908401 | + | 0.0294497i | ||||
\(565\) | −6076.51 | − | 10524.8i | −0.0190352 | − | 0.0329699i | ||||
\(566\) | −136243. | − | 78659.8i | −0.425286 | − | 0.245539i | ||||
\(567\) | −119511. | − | 27277.7i | −0.371743 | − | 0.0848480i | ||||
\(568\) | 231915. | − | 34955.6i | 0.718840 | − | 0.108348i | ||||
\(569\) | −21159.3 | + | 19632.9i | −0.0653546 | + | 0.0606402i | −0.712174 | − | 0.702003i | \(-0.752289\pi\) |
0.646819 | + | 0.762643i | \(0.276099\pi\) | |||||||
\(570\) | −21151.7 | − | 26523.4i | −0.0651022 | − | 0.0816355i | ||||
\(571\) | −266813. | + | 391342.i | −0.818341 | + | 1.20029i | 0.158719 | + | 0.987324i | \(0.449263\pi\) |
−0.977060 | + | 0.212962i | \(0.931689\pi\) | |||||||
\(572\) | 189795. | + | 176104.i | 0.580088 | + | 0.538243i | ||||
\(573\) | −1939.18 | + | 25876.6i | −0.00590621 | + | 0.0788129i | ||||
\(574\) | 40879.7 | + | 104160.i | 0.124075 | + | 0.316137i | ||||
\(575\) | −16277.3 | − | 71315.7i | −0.0492320 | − | 0.215700i | ||||
\(576\) | −136950. | − | 42243.3i | −0.412777 | − | 0.127325i | ||||
\(577\) | 105278. | + | 154415.i | 0.316218 | + | 0.463807i | 0.951136 | − | 0.308773i | \(-0.0999183\pi\) |
−0.634918 | + | 0.772580i | \(0.718966\pi\) | |||||||
\(578\) | 22660.1 | − | 150340.i | 0.0678275 | − | 0.450006i | ||||
\(579\) | 22575.5 | + | 8860.23i | 0.0673411 | + | 0.0264294i | ||||
\(580\) | 118627. | + | 57127.5i | 0.352635 | + | 0.169820i | ||||
\(581\) | −44183.3 | + | 91747.6i | −0.130890 | + | 0.271796i | ||||
\(582\) | 9560.23 | − | 24359.1i | 0.0282242 | − | 0.0719142i | ||||
\(583\) | −366275. | − | 55207.1i | −1.07763 | − | 0.162427i | ||||
\(584\) | −82731.0 | + | 56405.1i | −0.242573 | + | 0.165384i | ||||
\(585\) | 90787.0 | − | 294324.i | 0.265285 | − | 0.860031i | ||||
\(586\) | 595521. | − | 135924.i | 1.73421 | − | 0.395823i | ||||
\(587\) | 85153.4 | − | 33420.2i | 0.247130 | − | 0.0969914i | −0.238543 | − | 0.971132i | \(-0.576670\pi\) |
0.485673 | + | 0.874141i | \(0.338575\pi\) | |||||||
\(588\) | −6787.27 | − | 508.635i | −0.0196309 | − | 0.00147113i | ||||
\(589\) | −483945. | + | 521568.i | −1.39497 | + | 1.50342i | ||||
\(590\) | 224119. | + | 152802.i | 0.643835 | + | 0.438959i | ||||
\(591\) | −414.593 | + | 330.627i | −0.00118699 | + | 0.000946593i | ||||
\(592\) | −100154. | − | 107941.i | −0.285776 | − | 0.307993i | ||||
\(593\) | −54375.3 | − | 360757.i | −0.154629 | − | 1.02590i | −0.922696 | − | 0.385529i | \(-0.874019\pi\) |
0.768066 | − | 0.640370i | \(-0.221219\pi\) | |||||||
\(594\) | 22178.7 | − | 97171.3i | 0.0628584 | − | 0.275401i | ||||
\(595\) | 61593.1 | − | 106682.i | 0.173980 | − | 0.301341i | ||||
\(596\) | −87263.9 | + | 50381.8i | −0.245664 | + | 0.141834i | ||||
\(597\) | 19032.2 | − | 5870.65i | 0.0533998 | − | 0.0164717i | ||||
\(598\) | 204800. | + | 163323.i | 0.572702 | + | 0.456714i | ||||
\(599\) | 18328.6 | + | 244578.i | 0.0510829 | + | 0.681654i | 0.962693 | + | 0.270597i | \(0.0872211\pi\) |
−0.911610 | + | 0.411057i | \(0.865160\pi\) | |||||||
\(600\) | 6554.95 | − | 3156.70i | 0.0182082 | − | 0.00876860i | ||||
\(601\) | 422690.i | 1.17024i | 0.810948 | + | 0.585118i | \(0.198952\pi\) | ||||
−0.810948 | + | 0.585118i | \(0.801048\pi\) | |||||||
\(602\) | 123886. | + | 105961.i | 0.341844 | + | 0.292384i | ||||
\(603\) | −441478. | −1.21416 | ||||||||
\(604\) | 50682.0 | + | 105242.i | 0.138925 | + | 0.288480i | ||||
\(605\) | 700980. | − | 52531.2i | 1.91512 | − | 0.143518i | ||||
\(606\) | −29012.7 | + | 36380.8i | −0.0790029 | + | 0.0990666i | ||||
\(607\) | −43387.8 | − | 140660.i | −0.117758 | − | 0.381762i | 0.877435 | − | 0.479695i | \(-0.159253\pi\) |
−0.995193 | + | 0.0979338i | \(0.968777\pi\) | |||||||
\(608\) | −228499. | − | 395772.i | −0.618126 | − | 1.07063i | ||||
\(609\) | 11539.6 | + | 6662.39i | 0.0311140 | + | 0.0179637i | ||||
\(610\) | −140128. | − | 31983.2i | −0.376586 | − | 0.0859533i | ||||
\(611\) | 581659. | − | 87671.0i | 1.55807 | − | 0.234841i | ||||
\(612\) | −115074. | + | 106773.i | −0.307238 | + | 0.285075i | ||||
\(613\) | 102838. | + | 128954.i | 0.273672 | + | 0.343174i | 0.899606 | − | 0.436702i | \(-0.143853\pi\) |
−0.625934 | + | 0.779876i | \(0.715282\pi\) | |||||||
\(614\) | −75571.5 | + | 110843.i | −0.200457 | + | 0.294016i | ||||
\(615\) | 10368.1 | + | 9620.19i | 0.0274125 | + | 0.0254351i | ||||
\(616\) | −15376.0 | + | 205179.i | −0.0405213 | + | 0.540719i | ||||
\(617\) | 183574. | + | 467739.i | 0.482215 | + | 1.22866i | 0.940480 | + | 0.339849i | \(0.110376\pi\) |
−0.458265 | + | 0.888816i | \(0.651529\pi\) | |||||||
\(618\) | −2909.32 | − | 12746.6i | −0.00761755 | − | 0.0333746i | ||||
\(619\) | 396713. | + | 122370.i | 1.03537 | + | 0.319369i | 0.765437 | − | 0.643511i | \(-0.222523\pi\) |
0.269931 | + | 0.962880i | \(0.412999\pi\) | |||||||
\(620\) | −66921.8 | − | 98156.2i | −0.174094 | − | 0.255349i | ||||
\(621\) | 3953.18 | − | 26227.6i | 0.0102509 | − | 0.0680105i | ||||
\(622\) | −175736. | − | 68971.3i | −0.454234 | − | 0.178274i | ||||
\(623\) | −73143.4 | − | 35224.0i | −0.188451 | − | 0.0907533i | ||||
\(624\) | −15927.6 | + | 33074.1i | −0.0409055 | + | 0.0849412i | ||||
\(625\) | −58601.1 | + | 149313.i | −0.150019 | + | 0.382242i | ||||
\(626\) | 537233. | + | 80974.8i | 1.37092 | + | 0.206634i | ||||
\(627\) | −71426.0 | + | 48697.4i | −0.181686 | + | 0.123871i | ||||
\(628\) | 22301.8 | − | 72300.6i | 0.0565484 | − | 0.183325i | ||||
\(629\) | 155438. | − | 35477.7i | 0.392876 | − | 0.0896714i | ||||
\(630\) | −126454. | + | 49629.6i | −0.318604 | + | 0.125043i | ||||
\(631\) | −211649. | − | 15860.9i | −0.531566 | − | 0.0398354i | −0.193756 | − | 0.981050i | \(-0.562067\pi\) |
−0.337810 | + | 0.941214i | \(0.609686\pi\) | |||||||
\(632\) | 230861. | − | 248809.i | 0.577984 | − | 0.622919i | ||||
\(633\) | 38579.6 | + | 26303.1i | 0.0962832 | + | 0.0656448i | ||||
\(634\) | −260808. | + | 207987.i | −0.648847 | + | 0.517438i | ||||
\(635\) | −255004. | − | 274828.i | −0.632410 | − | 0.681576i | ||||
\(636\) | 810.952 | + | 5380.31i | 0.00200484 | + | 0.0133013i | ||||
\(637\) | −90877.0 | + | 398158.i | −0.223962 | + | 0.981243i | ||||
\(638\) | 637781. | − | 1.10467e6i | 1.56686 | − | 2.71388i | ||||
\(639\) | 341716. | − | 197290.i | 0.836880 | − | 0.483173i | ||||
\(640\) | −355415. | + | 109631.i | −0.867713 | + | 0.267654i | ||||
\(641\) | 12604.8 | + | 10052.0i | 0.0306775 | + | 0.0244645i | 0.638709 | − | 0.769449i | \(-0.279469\pi\) |
−0.608031 | + | 0.793913i | \(0.708040\pi\) | |||||||
\(642\) | −1044.51 | − | 13938.0i | −0.00253421 | − | 0.0338167i | ||||
\(643\) | 64517.2 | − | 31069.9i | 0.156046 | − | 0.0751480i | −0.354231 | − | 0.935158i | \(-0.615257\pi\) |
0.510277 | + | 0.860010i | \(0.329543\pi\) | |||||||
\(644\) | − | 30388.0i | − | 0.0732708i | ||||||
\(645\) | 19920.0 | + | 5272.97i | 0.0478818 | + | 0.0126747i | ||||
\(646\) | 1.03745e6 | 2.48601 | ||||||||
\(647\) | −109325. | − | 227017.i | −0.261163 | − | 0.542312i | 0.728615 | − | 0.684923i | \(-0.240164\pi\) |
−0.989779 | + | 0.142612i | \(0.954450\pi\) | |||||||
\(648\) | −309728. | + | 23210.9i | −0.737617 | + | 0.0552767i | ||||
\(649\) | 430960. | − | 540407.i | 1.02317 | − | 1.28301i | ||||
\(650\) | 71412.5 | + | 231514.i | 0.169024 | + | 0.547962i | ||||
\(651\) | −6011.33 | − | 10411.9i | −0.0141843 | − | 0.0245679i | ||||
\(652\) | 28169.7 | + | 16263.8i | 0.0662655 | + | 0.0382584i | ||||
\(653\) | −622161. | − | 142004.i | −1.45907 | − | 0.333024i | −0.581923 | − | 0.813244i | \(-0.697700\pi\) |
−0.877148 | + | 0.480220i | \(0.840557\pi\) | |||||||
\(654\) | 2186.65 | − | 329.584i | 0.00511238 | − | 0.000770568i | ||||
\(655\) | 128960. | − | 119657.i | 0.300589 | − | 0.278906i | ||||
\(656\) | 249065. | + | 312317.i | 0.578768 | + | 0.725752i | ||||
\(657\) | −94895.5 | + | 139186.i | −0.219844 | + | 0.322452i | ||||
\(658\) | −190178. | − | 176460.i | −0.439247 | − | 0.407562i | ||||
\(659\) | 12582.0 | − | 167896.i | 0.0289721 | − | 0.386606i | −0.963803 | − | 0.266616i | \(-0.914095\pi\) |
0.992775 | − | 0.119990i | \(-0.0382864\pi\) | |||||||
\(660\) | −5273.33 | − | 13436.2i | −0.0121059 | − | 0.0308453i | ||||
\(661\) | −41143.9 | − | 180263.i | −0.0941678 | − | 0.412576i | 0.905770 | − | 0.423771i | \(-0.139294\pi\) |
−0.999937 | + | 0.0111946i | \(0.996437\pi\) | |||||||
\(662\) | −316736. | − | 97700.1i | −0.722739 | − | 0.222935i | ||||
\(663\) | −22390.7 | − | 32841.1i | −0.0509378 | − | 0.0747121i | ||||
\(664\) | −38455.2 | + | 255133.i | −0.0872205 | + | 0.578670i | ||||
\(665\) | 219818. | + | 86272.2i | 0.497073 | + | 0.195087i | ||||
\(666\) | −158407. | − | 76284.7i | −0.357129 | − | 0.171984i | ||||
\(667\) | 147281. | − | 305832.i | 0.331051 | − | 0.687435i | ||||
\(668\) | −26908.7 | + | 68562.4i | −0.0603032 | + | 0.153650i | ||||
\(669\) | −35655.0 | − | 5374.12i | −0.0796651 | − | 0.0120076i | ||||
\(670\) | −402509. | + | 274426.i | −0.896657 | + | 0.611330i | ||||
\(671\) | −107956. | + | 349985.i | −0.239774 | + | 0.777328i | ||||
\(672\) | 7528.53 | − | 1718.34i | 0.0166714 | − | 0.00380514i | ||||
\(673\) | 137133. | − | 53820.8i | 0.302770 | − | 0.118828i | −0.209093 | − | 0.977896i | \(-0.567051\pi\) |
0.511862 | + | 0.859067i | \(0.328956\pi\) | |||||||
\(674\) | −76653.6 | − | 5744.40i | −0.168738 | − | 0.0126452i | ||||
\(675\) | 16686.0 | − | 17983.2i | 0.0366222 | − | 0.0394693i | ||||
\(676\) | −53793.1 | − | 36675.5i | −0.117715 | − | 0.0802570i | ||||
\(677\) | 336537. | − | 268380.i | 0.734270 | − | 0.585561i | −0.183337 | − | 0.983050i | \(-0.558690\pi\) |
0.917607 | + | 0.397489i | \(0.130118\pi\) | |||||||
\(678\) | 1176.34 | + | 1267.80i | 0.00255902 | + | 0.00275797i | ||||
\(679\) | 27147.9 | + | 180114.i | 0.0588839 | + | 0.390669i | ||||
\(680\) | 69453.3 | − | 304295.i | 0.150202 | − | 0.658077i | ||||
\(681\) | −11172.3 | + | 19351.0i | −0.0240906 | + | 0.0417262i | ||||
\(682\) | −996718. | + | 575455.i | −2.14291 | + | 1.23721i | ||||
\(683\) | −182553. | + | 56310.2i | −0.391334 | + | 0.120711i | −0.484177 | − | 0.874970i | \(-0.660881\pi\) |
0.0928425 | + | 0.995681i | \(0.470405\pi\) | |||||||
\(684\) | −235270. | − | 187622.i | −0.502868 | − | 0.401024i | ||||
\(685\) | −36412.2 | − | 485887.i | −0.0776007 | − | 1.03551i | ||||
\(686\) | 353007. | − | 169999.i | 0.750127 | − | 0.361242i | ||||
\(687\) | 12552.2i | 0.0265954i | ||||||||
\(688\) | 534130. | + | 231116.i | 1.12842 | + | 0.488263i | ||||
\(689\) | 326481. | 0.687731 | ||||||||
\(690\) | −6336.16 | − | 13157.2i | −0.0133085 | − | 0.0276353i | ||||
\(691\) | −39028.4 | + | 2924.78i | −0.0817382 | + | 0.00612543i | −0.115536 | − | 0.993303i | \(-0.536859\pi\) |
0.0337982 | + | 0.999429i | \(0.489240\pi\) | |||||||
\(692\) | 115045. | − | 144261.i | 0.240245 | − | 0.301258i | ||||
\(693\) | 102032. | + | 330781.i | 0.212457 | + | 0.688770i | ||||
\(694\) | −206206. | − | 357159.i | −0.428136 | − | 0.741554i | ||||
\(695\) | −36214.3 | − | 20908.3i | −0.0749739 | − | 0.0432862i | ||||
\(696\) | 32914.9 | + | 7512.61i | 0.0679476 | + | 0.0155086i | ||||
\(697\) | −427700. | + | 64465.3i | −0.880386 | + | 0.132697i | ||||
\(698\) | −124148. | + | 115192.i | −0.254816 | + | 0.236435i | ||||
\(699\) | −19199.5 | − | 24075.4i | −0.0392948 | − | 0.0492741i | ||||
\(700\) | 15832.6 | − | 23222.2i | 0.0323115 | − | 0.0473922i | ||||
\(701\) | 376332. | + | 349185.i | 0.765835 | + | 0.710591i | 0.962918 | − | 0.269796i | \(-0.0869562\pi\) |
−0.197083 | + | 0.980387i | \(0.563147\pi\) | |||||||
\(702\) | −6564.97 | + | 87603.5i | −0.0133217 | + | 0.177765i | ||||
\(703\) | 111659. | + | 284502.i | 0.225934 | + | 0.575672i | ||||
\(704\) | 89673.3 | + | 392885.i | 0.180933 | + | 0.792720i | ||||
\(705\) | −31336.1 | − | 9665.91i | −0.0630474 | − | 0.0194475i | ||||
\(706\) | −435897. | − | 639343.i | −0.874529 | − | 1.28270i | ||||
\(707\) | 48275.3 | − | 320286.i | 0.0965798 | − | 0.640765i | ||||
\(708\) | −9451.46 | − | 3709.42i | −0.0188553 | − | 0.00740014i | ||||
\(709\) | 117368. | + | 56521.7i | 0.233485 | + | 0.112440i | 0.546968 | − | 0.837153i | \(-0.315782\pi\) |
−0.313483 | + | 0.949594i | \(0.601496\pi\) | |||||||
\(710\) | 188916. | − | 392288.i | 0.374759 | − | 0.778195i | ||||
\(711\) | 208620. | − | 531556.i | 0.412684 | − | 1.05150i | ||||
\(712\) | −203398. | − | 30657.4i | −0.401225 | − | 0.0604749i | ||||
\(713\) | −253057. | + | 172532.i | −0.497783 | + | 0.339383i | ||||
\(714\) | −5167.18 | + | 16751.6i | −0.0101358 | + | 0.0328594i | ||||
\(715\) | −844365. | + | 192721.i | −1.65165 | + | 0.376979i | ||||
\(716\) | −46508.3 | + | 18253.1i | −0.0907202 | + | 0.0356051i | ||||
\(717\) | 6909.23 | + | 517.775i | 0.0134397 | + | 0.00100717i | ||||
\(718\) | −321011. | + | 345968.i | −0.622689 | + | 0.671099i | ||||
\(719\) | −651341. | − | 444077.i | −1.25994 | − | 0.859014i | −0.265481 | − | 0.964116i | \(-0.585531\pi\) |
−0.994461 | + | 0.105102i | \(0.966483\pi\) | |||||||
\(720\) | −379165. | + | 302374.i | −0.731415 | + | 0.583284i | ||||
\(721\) | 61900.9 | + | 66713.3i | 0.119077 | + | 0.128334i | ||||
\(722\) | 205905. | + | 1.36609e6i | 0.394995 | + | 2.62062i | ||||
\(723\) | 6534.93 | − | 28631.4i | 0.0125016 | − | 0.0547729i | ||||
\(724\) | −25203.8 | + | 43654.2i | −0.0480826 | + | 0.0832815i | ||||
\(725\) | 271894. | − | 156978.i | 0.517277 | − | 0.298650i | ||||
\(726\) | −95590.7 | + | 29485.8i | −0.181360 | + | 0.0559423i | ||||
\(727\) | 426573. | + | 340181.i | 0.807095 | + | 0.643637i | 0.937563 | − | 0.347815i | \(-0.113076\pi\) |
−0.130468 | + | 0.991453i | \(0.541648\pi\) | |||||||
\(728\) | −13552.4 | − | 180844.i | −0.0255714 | − | 0.341226i | ||||
\(729\) | −466782. | + | 224790.i | −0.878332 | + | 0.422983i | ||||
\(730\) | 185888.i | 0.348823i | ||||||||
\(731\) | −505887. | + | 375733.i | −0.946715 | + | 0.703144i | ||||
\(732\) | 5380.05 | 0.0100407 | ||||||||
\(733\) | 315045. | + | 654197.i | 0.586360 | + | 1.21759i | 0.957344 | + | 0.288949i | \(0.0933060\pi\) |
−0.370985 | + | 0.928639i | \(0.620980\pi\) | |||||||
\(734\) | −823833. | + | 61737.8i | −1.52914 | + | 0.114593i | ||||
\(735\) | 14195.4 | − | 17800.5i | 0.0262768 | − | 0.0329501i | ||||
\(736\) | −57984.6 | − | 187981.i | −0.107043 | − | 0.347024i | ||||
\(737\) | 620690. | + | 1.07507e6i | 1.14272 | + | 1.97925i | ||||
\(738\) | 413073. | + | 238488.i | 0.758428 | + | 0.437879i | ||||
\(739\) | 461505. | + | 105335.i | 0.845060 | + | 0.192879i | 0.623066 | − | 0.782169i | \(-0.285887\pi\) |
0.221993 | + | 0.975048i | \(0.428744\pi\) | |||||||
\(740\) | −50460.6 | + | 7605.71i | −0.0921486 | + | 0.0138892i | ||||
\(741\) | 55854.4 | − | 51825.3i | 0.101723 | − | 0.0943856i | ||||
\(742\) | −89777.2 | − | 112577.i | −0.163064 | − | 0.204476i | ||||
\(743\) | 490945. | − | 720084.i | 0.889314 | − | 1.30438i | −0.0626066 | − | 0.998038i | \(-0.519941\pi\) |
0.951920 | − | 0.306345i | \(-0.0991063\pi\) | |||||||
\(744\) | −22330.3 | − | 20719.5i | −0.0403412 | − | 0.0374312i | ||||
\(745\) | 25188.7 | − | 336120.i | 0.0453830 | − | 0.605595i | ||||
\(746\) | −443473. | − | 1.12995e6i | −0.796874 | − | 2.03040i | ||||
\(747\) | 96592.5 | + | 423200.i | 0.173102 | + | 0.758410i | ||||
\(748\) | 421796. | + | 130107.i | 0.753875 | + | 0.232540i | ||||
\(749\) | 54806.1 | + | 80385.8i | 0.0976934 | + | 0.143290i | ||||
\(750\) | 6850.15 | − | 45447.7i | 0.0121780 | − | 0.0807960i | ||||
\(751\) | −492054. | − | 193117.i | −0.872435 | − | 0.342405i | −0.113473 | − | 0.993541i | \(-0.536198\pi\) |
−0.758961 | + | 0.651136i | \(0.774293\pi\) | |||||||
\(752\) | −834467. | − | 401858.i | −1.47562 | − | 0.710620i | ||||
\(753\) | −7023.39 | + | 14584.2i | −0.0123867 | + | 0.0257213i | ||||
\(754\) | −410745. | + | 1.04656e6i | −0.722486 | + | 1.84086i | ||||
\(755\) | −386375. | − | 58236.7i | −0.677821 | − | 0.102165i | ||||
\(756\) | 8420.31 | − | 5740.87i | 0.0147328 | − | 0.0100446i | ||||
\(757\) | 91082.6 | − | 295283.i | 0.158944 | − | 0.515283i | −0.840713 | − | 0.541481i | \(-0.817864\pi\) |
0.999657 | + | 0.0261978i | \(0.00833999\pi\) | |||||||
\(758\) | −407391. | + | 92984.2i | −0.709043 | + | 0.161834i | ||||
\(759\) | −34640.0 | + | 13595.2i | −0.0601305 | + | 0.0235995i | ||||
\(760\) | 596646. | + | 44712.4i | 1.03297 | + | 0.0774107i | ||||
\(761\) | 720152. | − | 776140.i | 1.24353 | − | 1.34020i | 0.324562 | − | 0.945865i | \(-0.394783\pi\) |
0.918965 | − | 0.394339i | \(-0.129026\pi\) | |||||||
\(762\) | 44082.1 | + | 30054.7i | 0.0759193 | + | 0.0517609i | ||||
\(763\) | −12034.5 | + | 9597.16i | −0.0206718 | + | 0.0164852i | ||||
\(764\) | 172759. | + | 186190.i | 0.295974 | + | 0.318984i | ||||
\(765\) | −78263.5 | − | 519244.i | −0.133732 | − | 0.887256i | ||||
\(766\) | −27435.6 | + | 120203.i | −0.0467582 | + | 0.204861i | ||||
\(767\) | −304614. | + | 527607.i | −0.517797 | + | 0.896850i | ||||
\(768\) | 31475.0 | − | 18172.1i | 0.0533633 | − | 0.0308093i | ||||
\(769\) | 750341. | − | 231450.i | 1.26884 | − | 0.391385i | 0.413999 | − | 0.910277i | \(-0.364132\pi\) |
0.854839 | + | 0.518893i | \(0.173656\pi\) | |||||||
\(770\) | 298642. | + | 238159.i | 0.503697 | + | 0.401685i | ||||
\(771\) | 2042.55 | + | 27255.9i | 0.00343608 | + | 0.0458513i | ||||
\(772\) | 213872. | − | 102995.i | 0.358856 | − | 0.172816i | ||||
\(773\) | 144455.i | 0.241755i | 0.992667 | + | 0.120877i | \(0.0385708\pi\) | ||||
−0.992667 | + | 0.120877i | \(0.961429\pi\) | |||||||
\(774\) | 694499. | + | 23881.2i | 1.15928 | + | 0.0398633i | ||||
\(775\) | −283275. | −0.471634 | ||||||||
\(776\) | 200244. | + | 415811.i | 0.332534 | + | 0.690515i | ||||
\(777\) | −5149.94 | + | 385.935i | −0.00853022 | + | 0.000639252i | ||||
\(778\) | −508223. | + | 637292.i | −0.839644 | + | 1.05288i | ||||
\(779\) | −244393. | − | 792302.i | −0.402730 | − | 1.30562i | ||||
\(780\) | 6361.04 | + | 11017.6i | 0.0104554 | + | 0.0181092i | ||||
\(781\) | −960861. | − | 554753.i | −1.57528 | − | 0.909490i | ||||
\(782\) | 435389. | + | 99374.8i | 0.711974 | + | 0.162503i | ||||
\(783\) | 112568. | − | 16966.9i | 0.183608 | − | 0.0276744i | ||||
\(784\) | 471380. | − | 437376.i | 0.766900 | − | 0.711579i | ||||
\(785\) | 157803. | + | 197878.i | 0.256080 | + | 0.321114i | ||||
\(786\) | −14102.8 | + | 20685.0i | −0.0228276 | + | 0.0334820i | ||||
\(787\) | −820468. | − | 761283.i | −1.32468 | − | 1.22913i | −0.953798 | − | 0.300447i | \(-0.902864\pi\) |
−0.370885 | − | 0.928679i | \(-0.620945\pi\) | |||||||
\(788\) | −387.885 | + | 5175.97i | −0.000624670 | + | 0.00833564i | ||||
\(789\) | 1916.27 | + | 4882.59i | 0.00307825 | + | 0.00784325i | ||||
\(790\) | −140214. | − | 614316.i | −0.224665 | − | 0.984323i | ||||
\(791\) | −11503.6 | − | 3548.40i | −0.0183858 | − | 0.00567126i | ||||
\(792\) | 494074. | + | 724673.i | 0.787665 | + | 1.15529i | ||||
\(793\) | 48113.6 | − | 319213.i | 0.0765105 | − | 0.507614i | ||||
\(794\) | 283713. | + | 111349.i | 0.450027 | + | 0.176622i | ||||
\(795\) | −16398.4 | − | 7897.06i | −0.0259458 | − | 0.0124949i | ||||
\(796\) | 84585.6 | − | 175644.i | 0.133497 | − | 0.277209i | ||||
\(797\) | 118628. | − | 302259.i | 0.186754 | − | 0.475842i | −0.806578 | − | 0.591128i | \(-0.798683\pi\) |
0.993332 | + | 0.115285i | \(0.0367782\pi\) | |||||||
\(798\) | −33229.5 | − | 5008.55i | −0.0521817 | − | 0.00786513i | ||||
\(799\) | 828590. | − | 564923.i | 1.29791 | − | 0.884903i | ||||
\(800\) | 53630.0 | − | 173864.i | 0.0837969 | − | 0.271663i | ||||
\(801\) | −337385. | + | 77005.9i | −0.525848 | + | 0.120021i | ||||
\(802\) | 963065. | − | 377975.i | 1.49729 | − | 0.587645i | ||||
\(803\) | 472357. | + | 35398.2i | 0.732553 | + | 0.0548972i | ||||
\(804\) | 12402.9 | − | 13367.2i | 0.0191872 | − | 0.0206789i | ||||
\(805\) | 83987.5 | + | 57261.7i | 0.129605 | + | 0.0883635i | ||||
\(806\) | 793098. | − | 632475.i | 1.22083 | − | 0.973583i | ||||
\(807\) | 39487.6 | + | 42557.5i | 0.0606336 | + | 0.0653475i | ||||
\(808\) | −122317. | − | 811518.i | −0.187354 | − | 1.24301i | ||||
\(809\) | −64287.2 | + | 281660.i | −0.0982262 | + | 0.430357i | −0.999998 | − | 0.00185490i | \(-0.999410\pi\) |
0.901772 | + | 0.432212i | \(0.142267\pi\) | |||||||
\(810\) | −288307. | + | 499362.i | −0.439425 | + | 0.761107i | ||||
\(811\) | 926652. | − | 535003.i | 1.40888 | − | 0.813419i | 0.413602 | − | 0.910458i | \(-0.364271\pi\) |
0.995281 | + | 0.0970392i | \(0.0309372\pi\) | |||||||
\(812\) | 124630. | − | 38443.2i | 0.189021 | − | 0.0583053i | ||||
\(813\) | −913.752 | − | 728.693i | −0.00138244 | − | 0.00110246i | ||||
\(814\) | 36945.0 | + | 492996.i | 0.0557579 | + | 0.744038i | ||||
\(815\) | −98032.1 | + | 47209.8i | −0.147589 | + | 0.0710750i | ||||
\(816\) | 62584.3i | 0.0939908i | ||||||||
\(817\) | −856751. | − | 851579.i | −1.28354 | − | 1.27580i | ||||
\(818\) | −367749. | −0.549598 | ||||||||
\(819\) | −132380. | − | 274890.i | −0.197358 | − | 0.409818i | ||||
\(820\) | 138053. | − | 10345.7i | 0.205314 | − | 0.0153862i | ||||
\(821\) | −276051. | + | 346157.i | −0.409546 | + | 0.513555i | −0.943235 | − | 0.332126i | \(-0.892234\pi\) |
0.533689 | + | 0.845681i | \(0.320805\pi\) | |||||||
\(822\) | 20438.2 | + | 66259.0i | 0.0302482 | + | 0.0980621i | ||||
\(823\) | −8433.87 | − | 14607.9i | −0.0124517 | − | 0.0215669i | 0.859732 | − | 0.510745i | \(-0.170630\pi\) |
−0.872184 | + | 0.489178i | \(0.837297\pi\) | |||||||
\(824\) | 199696. | + | 115294.i | 0.294113 | + | 0.169806i | ||||
\(825\) | −33554.8 | − | 7658.67i | −0.0493000 | − | 0.0112524i | ||||
\(826\) | 265694. | − | 40046.9i | 0.389423 | − | 0.0586961i | ||||
\(827\) | −491692. | + | 456223.i | −0.718922 | + | 0.667063i | −0.952244 | − | 0.305337i | \(-0.901231\pi\) |
0.233322 | + | 0.972400i | \(0.425040\pi\) | |||||||
\(828\) | −80764.3 | − | 101275.i | −0.117804 | − | 0.147721i | ||||
\(829\) | −70576.0 | + | 103516.i | −0.102695 | + | 0.150625i | −0.874147 | − | 0.485662i | \(-0.838578\pi\) |
0.771452 | + | 0.636288i | \(0.219531\pi\) | |||||||
\(830\) | 351130. | + | 325801.i | 0.509697 | + | 0.472930i | ||||
\(831\) | 808.506 | − | 10788.8i | 0.00117080 | − | 0.0156232i | ||||
\(832\) | −129767. | − | 330640.i | −0.187463 | − | 0.477649i | ||||
\(833\) | 154932. | + | 678802.i | 0.223281 | + | 0.978257i | ||||
\(834\) | 5686.47 | + | 1754.04i | 0.00817543 | + | 0.00252179i | ||||
\(835\) | −138790. | − | 203567.i | −0.199060 | − | 0.291967i | ||||
\(836\) | −126113. | + | 836702.i | −0.180445 | + | 1.19718i | ||||
\(837\) | −95614.6 | − | 37525.9i | −0.136481 | − | 0.0535650i | ||||
\(838\) | 368055. | + | 177246.i | 0.524112 | + | 0.252399i | ||||
\(839\) | −395315. | + | 820879.i | −0.561589 | + | 1.16615i | 0.406058 | + | 0.913847i | \(0.366903\pi\) |
−0.967648 | + | 0.252305i | \(0.918811\pi\) | |||||||
\(840\) | −3693.64 | + | 9411.24i | −0.00523475 | + | 0.0133379i | ||||
\(841\) | 741244. | + | 111725.i | 1.04802 | + | 0.157964i | ||||
\(842\) | 28966.1 | − | 19748.7i | 0.0408569 | − | 0.0278558i | ||||
\(843\) | 5062.12 | − | 16411.0i | 0.00712324 | − | 0.0230930i | ||||
\(844\) | 445577. | − | 101700.i | 0.625516 | − | 0.142770i | ||||
\(845\) | 202730. | − | 79565.8i | 0.283926 | − | 0.111433i | ||||
\(846\) | −1.10280e6 | − | 82643.6i | −1.54084 | − | 0.115470i | ||||
\(847\) | 473617. | − | 510438.i | 0.660178 | − | 0.711502i | ||||
\(848\) | −424733. | − | 289578.i | −0.590642 | − | 0.402693i | ||||
\(849\) | −15400.6 | + | 12281.6i | −0.0213660 | + | 0.0170388i | ||||
\(850\) | 280944. | + | 302786.i | 0.388850 | + | 0.419080i | ||||
\(851\) | 19608.3 | + | 130093.i | 0.0270758 | + | 0.179636i | ||||
\(852\) | −3626.61 | + | 15889.2i | −0.00499599 | + | 0.0218889i | ||||
\(853\) | −616771. | + | 1.06828e6i | −0.847668 | + | 1.46820i | 0.0356157 | + | 0.999366i | \(0.488661\pi\) |
−0.883284 | + | 0.468839i | \(0.844673\pi\) | |||||||
\(854\) | −123301. | + | 71188.1i | −0.169065 | + | 0.0976094i | ||||
\(855\) | 961887. | − | 296703.i | 1.31581 | − | 0.405872i | ||||
\(856\) | 192729. | + | 153696.i | 0.263026 | + | 0.209757i | ||||
\(857\) | 51515.4 | + | 687425.i | 0.0701415 | + | 0.935973i | 0.915641 | + | 0.401997i | \(0.131684\pi\) |
−0.845499 | + | 0.533976i | \(0.820697\pi\) | |||||||
\(858\) | 111045. | − | 53476.3i | 0.150842 | − | 0.0726418i | ||||
\(859\) | − | 587860.i | − | 0.796687i | −0.917236 | − | 0.398343i | \(-0.869585\pi\) | ||
0.917236 | − | 0.398343i | \(-0.130415\pi\) | |||||||
\(860\) | 170454. | − | 107825.i | 0.230468 | − | 0.145788i | ||||
\(861\) | 14010.4 | 0.0188992 | ||||||||
\(862\) | −438032. | − | 909583.i | −0.589510 | − | 1.22413i | ||||
\(863\) | 111707. | − | 8371.31i | 0.149989 | − | 0.0112401i | 0.000476137 | − | 1.00000i | \(-0.499848\pi\) |
0.149513 | + | 0.988760i | \(0.452229\pi\) | |||||||
\(864\) | 41133.9 | − | 51580.3i | 0.0551027 | − | 0.0690966i | ||||
\(865\) | 181930. | + | 589804.i | 0.243149 | + | 0.788271i | ||||
\(866\) | −534827. | − | 926347.i | −0.713144 | − | 1.23520i | ||||
\(867\) | −16486.4 | − | 9518.40i | −0.0219324 | − | 0.0126627i | ||||
\(868\) | −114728. | − | 26186.0i | −0.152276 | − | 0.0347560i | ||||
\(869\) | −1.58773e6 | + | 239311.i | −2.10250 | + | 0.316901i | ||||
\(870\) | 45945.5 | − | 42631.2i | 0.0607023 | − | 0.0563235i | ||||
\(871\) | −682192. | − | 855441.i | −0.899229 | − | 1.12760i | ||||
\(872\) | −21969.9 | + | 32224.0i | −0.0288932 | + | 0.0423786i | ||||
\(873\) | 569179. | + | 528121.i | 0.746827 | + | 0.692955i | ||||
\(874\) | −63975.1 | + | 853689.i | −0.0837507 | + | 1.11757i | ||||
\(875\) | 116881. | + | 297809.i | 0.152661 | + | 0.388975i | ||||
\(876\) | −1548.31 | − | 6783.58i | −0.00201767 | − | 0.00883997i | ||||
\(877\) | −489536. | − | 151002.i | −0.636480 | − | 0.196328i | −0.0403114 | − | 0.999187i | \(-0.512835\pi\) |
−0.596169 | + | 0.802859i | \(0.703311\pi\) | |||||||
\(878\) | −317496. | − | 465681.i | −0.411859 | − | 0.604087i | ||||
\(879\) | 11399.2 | − | 75629.1i | 0.0147536 | − | 0.0978838i | ||||
\(880\) | 1.26941e6 | + | 498207.i | 1.63922 | + | 0.643345i | ||||
\(881\) | −142315. | − | 68535.4i | −0.183358 | − | 0.0883004i | 0.339953 | − | 0.940443i | \(-0.389589\pi\) |
−0.523310 | + | 0.852142i | \(0.675303\pi\) | |||||||
\(882\) | 333138. | − | 691767.i | 0.428239 | − | 0.889248i | ||||
\(883\) | −450015. | + | 1.14662e6i | −0.577172 | + | 1.47061i | 0.282248 | + | 0.959341i | \(0.408920\pi\) |
−0.859420 | + | 0.511270i | \(0.829175\pi\) | |||||||
\(884\) | −384709. | − | 57985.6i | −0.492298 | − | 0.0742020i | ||||
\(885\) | 28062.1 | − | 19132.4i | 0.0358289 | − | 0.0244278i | ||||
\(886\) | −382118. | + | 1.23880e6i | −0.486777 | + | 1.57809i | ||||
\(887\) | −470603. | + | 107412.i | −0.598146 | + | 0.136523i | −0.510865 | − | 0.859661i | \(-0.670675\pi\) |
−0.0872807 | + | 0.996184i | \(0.527818\pi\) | |||||||
\(888\) | −12180.6 | + | 4780.54i | −0.0154470 | + | 0.00606249i | ||||
\(889\) | −370337. | − | 27752.9i | −0.468591 | − | 0.0351160i | ||||
\(890\) | −259737. | + | 279929.i | −0.327909 | + | 0.353402i | ||||
\(891\) | 1.21402e6 | + | 827704.i | 1.52922 | + | 1.04260i | ||||
\(892\) | −275937. | + | 220052.i | −0.346801 | + | 0.276564i | ||||
\(893\) | 1.30757e6 | + | 1.40922e6i | 1.63969 | + | 1.76716i | ||||
\(894\) | 7149.08 | + | 47431.0i | 0.00894489 | + | 0.0593454i | ||||
\(895\) | 37189.2 | − | 162937.i | 0.0464270 | − | 0.203410i | ||||
\(896\) | −184217. | + | 319072.i | −0.229463 | + | 0.397441i | ||||
\(897\) | 28404.7 | − | 16399.5i | 0.0353025 | − | 0.0203819i | ||||
\(898\) | −1.43869e6 | + | 443776.i | −1.78408 | + | 0.550314i | ||||
\(899\) | −1.02774e6 | − | 819594.i | −1.27164 | − | 1.01410i | ||||
\(900\) | −8953.26 | − | 119473.i | −0.0110534 | − | 0.147497i | ||||
\(901\) | 501481. | − | 241501.i | 0.617739 | − | 0.297487i | ||||
\(902\) | − | 1.34120e6i | − | 1.64846i | ||||||
\(903\) | 18017.5 | − | 9592.40i | 0.0220962 | − | 0.0117639i | ||||
\(904\) | −30502.2 | −0.0373245 | ||||||||
\(905\) | −73160.3 | − | 151919.i | −0.0893261 | − | 0.185488i | ||||
\(906\) | 55449.9 | − | 4155.40i | 0.0675530 | − | 0.00506240i | ||||
\(907\) | −85737.4 | + | 107511.i | −0.104221 | + | 0.130689i | −0.831207 | − | 0.555964i | \(-0.812349\pi\) |
0.726985 | + | 0.686653i | \(0.240921\pi\) | |||||||
\(908\) | 64466.2 | + | 208994.i | 0.0781917 | + | 0.253491i | ||||
\(909\) | −690357. | − | 1.19573e6i | −0.835499 | − | 1.44713i | ||||
\(910\) | −291568. | − | 168337.i | −0.352093 | − | 0.203281i | ||||
\(911\) | −389401. | − | 88878.2i | −0.469202 | − | 0.107092i | −0.0186189 | − | 0.999827i | \(-0.505927\pi\) |
−0.450584 | + | 0.892734i | \(0.648784\pi\) | |||||||
\(912\) | −118631. | + | 17880.7i | −0.142629 | + | 0.0214979i | ||||
\(913\) | 894753. | − | 830209.i | 1.07340 | − | 0.995969i | ||||
\(914\) | −1.08486e6 | − | 1.36038e6i | −1.29862 | − | 1.62842i | ||||
\(915\) | −10137.9 | + | 14869.6i | −0.0121089 | + | 0.0177605i | ||||
\(916\) | 90064.5 | + | 83567.7i | 0.107340 | + | 0.0995973i | ||||
\(917\) | 13022.7 | − | 173776.i | 0.0154869 | − | 0.206658i | ||||
\(918\) | 54717.1 | + | 139417.i | 0.0649289 | + | 0.165436i | ||||
\(919\) | 172732. | + | 756789.i | 0.204523 | + | 0.896074i | 0.968141 | + | 0.250406i | \(0.0805640\pi\) |
−0.763618 | + | 0.645668i | \(0.776579\pi\) | |||||||
\(920\) | 246112. | + | 75915.6i | 0.290775 | + | 0.0896923i | ||||
\(921\) | 9462.37 | + | 13878.7i | 0.0111553 | + | 0.0163618i | ||||
\(922\) | 9772.60 | − | 64837.0i | 0.0114960 | − | 0.0762713i | ||||
\(923\) | 910317. | + | 357273.i | 1.06854 | + | 0.419370i | ||||
\(924\) | −12882.0 | − | 6203.63i | −0.0150882 | − | 0.00726611i | ||||
\(925\) | −52795.9 | + | 109632.i | −0.0617045 | + | 0.128131i | ||||
\(926\) | 238584. | − | 607901.i | 0.278239 | − | 0.708942i | ||||
\(927\) | 383608. | + | 57819.6i | 0.446404 | + | 0.0672846i | ||||
\(928\) | 697610. | − | 475622.i | 0.810059 | − | 0.552289i | ||||
\(929\) | −189274. | + | 613610.i | −0.219310 | + | 0.710986i | 0.777331 | + | 0.629092i | \(0.216573\pi\) |
−0.996641 | + | 0.0818943i | \(0.973903\pi\) | |||||||
\(930\) | −55134.2 | + | 12584.0i | −0.0637464 | + | 0.0145497i | ||||
\(931\) | −1.24243e6 | + | 487617.i | −1.43342 | + | 0.562574i | ||||
\(932\) | −300568. | − | 22524.4i | −0.346027 | − | 0.0259312i | ||||
\(933\) | −16078.0 | + | 17327.9i | −0.0184700 | + | 0.0199060i | ||||
\(934\) | 1.47184e6 | + | 1.00349e6i | 1.68721 | + | 1.15032i | ||||
\(935\) | −1.15441e6 | + | 920608.i | −1.32049 | + | 1.05306i | ||||
\(936\) | −525809. | − | 566687.i | −0.600173 | − | 0.646833i | ||||
\(937\) | −126840. | − | 841527.i | −0.144470 | − | 0.958493i | −0.937168 | − | 0.348879i | \(-0.886562\pi\) |
0.792698 | − | 0.609614i | \(-0.208676\pi\) | |||||||
\(938\) | −107381. | + | 470467.i | −0.122046 | + | 0.534716i | ||||
\(939\) | 34013.6 | − | 58913.2i | 0.0385763 | − | 0.0668162i | ||||
\(940\) | −277978. | + | 160491.i | −0.314597 | + | 0.181633i | ||||
\(941\) | 319207. | − | 98462.5i | 0.360490 | − | 0.111197i | −0.109219 | − | 0.994018i | \(-0.534835\pi\) |
0.469709 | + | 0.882821i | \(0.344359\pi\) | |||||||
\(942\) | −28159.7 | − | 22456.6i | −0.0317341 | − | 0.0253071i | ||||
\(943\) | −26672.2 | − | 355916.i | −0.0299941 | − | 0.400244i | ||||
\(944\) | 864257. | − | 416204.i | 0.969837 | − | 0.467049i | ||||
\(945\) | 34090.2i | 0.0381738i | ||||||||
\(946\) | −918267. | − | 1.72479e6i | −1.02609 | − | 1.92732i | ||||
\(947\) | 290781. | 0.324239 | 0.162120 | − | 0.986771i | \(-0.448167\pi\) | ||||
0.162120 | + | 0.986771i | \(0.448167\pi\) | |||||||
\(948\) | 10233.6 | + | 21250.2i | 0.0113870 | + | 0.0236454i | ||||
\(949\) | −416334. | + | 31199.9i | −0.462285 | + | 0.0346435i | ||||
\(950\) | −493674. | + | 619048.i | −0.547007 | + | 0.685925i | ||||
\(951\) | 12311.5 | + | 39912.9i | 0.0136129 | + | 0.0441318i | ||||
\(952\) | −154589. | − | 267756.i | −0.170571 | − | 0.295437i | ||||
\(953\) | 956166. | + | 552043.i | 1.05280 | + | 0.607837i | 0.923433 | − | 0.383760i | \(-0.125371\pi\) |
0.129371 | + | 0.991596i | \(0.458704\pi\) | |||||||
\(954\) | −598408. | − | 136583.i | −0.657507 | − | 0.150072i | ||||
\(955\) | −840136. | + | 126630.i | −0.921177 | + | 0.138845i | ||||
\(956\) | 49714.0 | − | 46127.8i | 0.0543955 | − | 0.0504716i | ||||
\(957\) | −99580.1 | − | 124870.i | −0.108730 | − | 0.136343i | ||||
\(958\) | 527275. | − | 773371.i | 0.574521 | − | 0.842668i | ||||
\(959\) | −353812. | − | 328290.i | −0.384712 | − | 0.356960i | ||||
\(960\) | −1479.77 | + | 19746.2i | −0.00160566 | + | 0.0214260i | ||||
\(961\) | 95919.2 | + | 244398.i | 0.103863 | + | 0.264637i | ||||
\(962\) | −96962.3 | − | 424820.i | −0.104774 | − | 0.459044i | ||||
\(963\) | 396301. | + | 122243.i | 0.427339 | + | 0.131817i | ||||
\(964\) | −161929. | − | 237506.i | −0.174249 | − | 0.255576i | ||||
\(965\) | −118348. | + | 785188.i | −0.127089 | + | 0.843177i | ||||
\(966\) | −13465.7 | − | 5284.91i | −0.0144303 | − | 0.00566348i | ||||
\(967\) | 536045. | + | 258146.i | 0.573255 | + | 0.276065i | 0.697970 | − | 0.716127i | \(-0.254087\pi\) |
−0.124714 | + | 0.992193i | \(0.539801\pi\) | |||||||
\(968\) | 765494. | − | 1.58957e6i | 0.816942 | − | 1.69640i | ||||
\(969\) | 47457.9 | − | 120921.i | 0.0505430 | − | 0.128781i | ||||
\(970\) | 847221. | + | 127698.i | 0.900437 | + | 0.135719i | ||||
\(971\) | −241524. | + | 164668.i | −0.256166 | + | 0.174651i | −0.684593 | − | 0.728925i | \(-0.740020\pi\) |
0.428427 | + | 0.903576i | \(0.359068\pi\) | |||||||
\(972\) | 19220.6 | − | 62311.7i | 0.0203439 | − | 0.0659534i | ||||
\(973\) | −40383.9 | + | 9217.36i | −0.0426562 | + | 0.00973600i | ||||
\(974\) | 599017. | − | 235097.i | 0.631424 | − | 0.247816i | ||||
\(975\) | 30250.9 | + | 2266.99i | 0.0318222 | + | 0.00238474i | ||||
\(976\) | −345725. | + | 372603.i | −0.362937 | + | 0.391153i | ||||
\(977\) | 695305. | + | 474051.i | 0.728427 | + | 0.496633i | 0.869850 | − | 0.493316i | \(-0.164215\pi\) |
−0.141423 | + | 0.989949i | \(0.545168\pi\) | |||||||
\(978\) | 12106.0 | − | 9654.24i | 0.0126568 | − | 0.0100935i | ||||
\(979\) | 661863. | + | 713318.i | 0.690562 | + | 0.744248i | ||||
\(980\) | −33214.3 | − | 220363.i | −0.0345839 | − | 0.229449i | ||||
\(981\) | −14600.6 | + | 63969.6i | −0.0151717 | + | 0.0664715i | ||||
\(982\) | 183916. | − | 318551.i | 0.190720 | − | 0.330336i | ||||
\(983\) | 890683. | − | 514236.i | 0.921756 | − | 0.532176i | 0.0375614 | − | 0.999294i | \(-0.488041\pi\) |
0.884195 | + | 0.467118i | \(0.154708\pi\) | |||||||
\(984\) | 33921.5 | − | 10463.4i | 0.0350336 | − | 0.0108064i | ||||
\(985\) | −13574.6 | − | 10825.4i | −0.0139912 | − | 0.0111576i | ||||
\(986\) | 143237. | + | 1.91137e6i | 0.147334 | + | 1.96603i | ||||
\(987\) | −29267.0 | + | 14094.2i | −0.0300430 | + | 0.0144679i | ||||
\(988\) | − | 745798.i | − | 0.764024i | ||||||
\(989\) | −277983. | − | 439449.i | −0.284201 | − | 0.449279i | ||||
\(990\) | 1.62827e6 | 1.66133 | ||||||||
\(991\) | −624522. | − | 1.29683e6i | −0.635917 | − | 1.32049i | −0.930999 | − | 0.365023i | \(-0.881061\pi\) |
0.295082 | − | 0.955472i | \(-0.404653\pi\) | |||||||
\(992\) | −759681. | + | 56930.2i | −0.771983 | + | 0.0578521i | ||||
\(993\) | −25876.5 | + | 32448.0i | −0.0262426 | + | 0.0329071i | ||||
\(994\) | −127129. | − | 412141.i | −0.128668 | − | 0.417131i | ||||
\(995\) | 326062. | + | 564755.i | 0.329347 | + | 0.570446i | ||||
\(996\) | −15527.4 | − | 8964.76i | −0.0156524 | − | 0.00903691i | ||||
\(997\) | 1.27084e6 | + | 290060.i | 1.27850 | + | 0.291808i | 0.807258 | − | 0.590198i | \(-0.200951\pi\) |
0.471237 | + | 0.882007i | \(0.343808\pi\) | |||||||
\(998\) | −1.75266e6 | + | 264171.i | −1.75969 | + | 0.265231i | ||||
\(999\) | −32343.4 | + | 30010.3i | −0.0324082 | + | 0.0300704i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.5.h.a.29.4 | yes | 168 | |
43.3 | odd | 42 | inner | 43.5.h.a.3.4 | ✓ | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.5.h.a.3.4 | ✓ | 168 | 43.3 | odd | 42 | inner | |
43.5.h.a.29.4 | yes | 168 | 1.1 | even | 1 | trivial |