Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,4,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), 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: | \(4.07113179040\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 4.5 | ||
Character | \(\chi\) | \(=\) | 69.4 |
Dual form | 69.4.e.a.52.5 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{2}{11}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.718480 | + | 1.57325i | 0.254021 | + | 0.556229i | 0.993084 | − | 0.117408i | \(-0.0374585\pi\) |
−0.739063 | + | 0.673637i | \(0.764731\pi\) | |||||||
\(3\) | −2.87848 | + | 0.845198i | −0.553964 | + | 0.162658i | ||||
\(4\) | 3.27998 | − | 3.78529i | 0.409997 | − | 0.473162i | ||||
\(5\) | 5.04169 | + | 3.24010i | 0.450942 | + | 0.289803i | 0.746332 | − | 0.665574i | \(-0.231813\pi\) |
−0.295390 | + | 0.955377i | \(0.595449\pi\) | |||||||
\(6\) | −3.39784 | − | 3.92132i | −0.231194 | − | 0.266812i | ||||
\(7\) | 4.06727 | + | 28.2885i | 0.219612 | + | 1.52744i | 0.739474 | + | 0.673185i | \(0.235074\pi\) |
−0.519862 | + | 0.854250i | \(0.674017\pi\) | |||||||
\(8\) | 21.5877 | + | 6.33873i | 0.954052 | + | 0.280135i | ||||
\(9\) | 7.57128 | − | 4.86577i | 0.280418 | − | 0.180214i | ||||
\(10\) | −1.47514 | + | 10.2598i | −0.0466479 | + | 0.324443i | ||||
\(11\) | 8.98713 | − | 19.6791i | 0.246338 | − | 0.539406i | −0.745560 | − | 0.666438i | \(-0.767818\pi\) |
0.991899 | + | 0.127032i | \(0.0405452\pi\) | |||||||
\(12\) | −6.24202 | + | 13.6681i | −0.150160 | + | 0.328804i | ||||
\(13\) | −10.1269 | + | 70.4338i | −0.216053 | + | 1.50268i | 0.536361 | + | 0.843989i | \(0.319799\pi\) |
−0.752414 | + | 0.658691i | \(0.771111\pi\) | |||||||
\(14\) | −41.5827 | + | 26.7236i | −0.793817 | + | 0.510155i | ||||
\(15\) | −17.2509 | − | 5.06533i | −0.296944 | − | 0.0871908i | ||||
\(16\) | −0.164513 | − | 1.14422i | −0.00257052 | − | 0.0178784i | ||||
\(17\) | −7.85556 | − | 9.06579i | −0.112074 | − | 0.129340i | 0.696941 | − | 0.717129i | \(-0.254544\pi\) |
−0.809014 | + | 0.587789i | \(0.799999\pi\) | |||||||
\(18\) | 13.0949 | + | 8.41558i | 0.171472 | + | 0.110198i | ||||
\(19\) | 26.4407 | − | 30.5142i | 0.319259 | − | 0.368444i | −0.573323 | − | 0.819329i | \(-0.694346\pi\) |
0.892582 | + | 0.450885i | \(0.148892\pi\) | |||||||
\(20\) | 28.8013 | − | 8.45683i | 0.322009 | − | 0.0945503i | ||||
\(21\) | −35.6169 | − | 77.9902i | −0.370107 | − | 0.810422i | ||||
\(22\) | 37.4172 | 0.362608 | ||||||||
\(23\) | 65.4887 | − | 88.7594i | 0.593711 | − | 0.804679i | ||||
\(24\) | −67.4973 | −0.574077 | ||||||||
\(25\) | −37.0065 | − | 81.0329i | −0.296052 | − | 0.648263i | ||||
\(26\) | −118.086 | + | 34.6732i | −0.890716 | + | 0.261538i | ||||
\(27\) | −17.6812 | + | 20.4052i | −0.126028 | + | 0.145444i | ||||
\(28\) | 120.421 | + | 77.3898i | 0.812764 | + | 0.522332i | ||||
\(29\) | −122.479 | − | 141.348i | −0.784268 | − | 0.905093i | 0.213142 | − | 0.977021i | \(-0.431630\pi\) |
−0.997410 | + | 0.0719280i | \(0.977085\pi\) | |||||||
\(30\) | −4.42541 | − | 30.7794i | −0.0269322 | − | 0.187317i | ||||
\(31\) | 142.794 | + | 41.9281i | 0.827309 | + | 0.242920i | 0.667860 | − | 0.744287i | \(-0.267210\pi\) |
0.159448 | + | 0.987206i | \(0.449028\pi\) | |||||||
\(32\) | 153.102 | − | 98.3924i | 0.845775 | − | 0.543547i | ||||
\(33\) | −9.23656 | + | 64.2417i | −0.0487236 | + | 0.338880i | ||||
\(34\) | 8.61872 | − | 18.8724i | 0.0434735 | − | 0.0951937i | ||||
\(35\) | −71.1515 | + | 155.800i | −0.343623 | + | 0.752429i | ||||
\(36\) | 6.41526 | − | 44.6191i | 0.0297003 | − | 0.206570i | ||||
\(37\) | −76.4573 | + | 49.1361i | −0.339716 | + | 0.218322i | −0.699364 | − | 0.714766i | \(-0.746533\pi\) |
0.359648 | + | 0.933088i | \(0.382897\pi\) | |||||||
\(38\) | 67.0037 | + | 19.6741i | 0.286038 | + | 0.0839883i | ||||
\(39\) | −30.3806 | − | 211.302i | −0.124738 | − | 0.867572i | ||||
\(40\) | 88.3005 | + | 101.904i | 0.349039 | + | 0.402812i | ||||
\(41\) | −358.438 | − | 230.354i | −1.36533 | − | 0.877447i | −0.366733 | − | 0.930326i | \(-0.619524\pi\) |
−0.998601 | + | 0.0528797i | \(0.983160\pi\) | |||||||
\(42\) | 97.1082 | − | 112.069i | 0.356765 | − | 0.411729i | ||||
\(43\) | −207.323 | + | 60.8754i | −0.735265 | + | 0.215893i | −0.627865 | − | 0.778323i | \(-0.716071\pi\) |
−0.107400 | + | 0.994216i | \(0.534253\pi\) | |||||||
\(44\) | −45.0135 | − | 98.5658i | −0.154228 | − | 0.337713i | ||||
\(45\) | 53.9376 | 0.178679 | ||||||||
\(46\) | 186.693 | + | 39.2585i | 0.598401 | + | 0.125834i | ||||
\(47\) | 37.1572 | 0.115318 | 0.0576590 | − | 0.998336i | \(-0.481636\pi\) | ||||
0.0576590 | + | 0.998336i | \(0.481636\pi\) | |||||||
\(48\) | 1.44064 | + | 3.15456i | 0.00433204 | + | 0.00948585i | ||||
\(49\) | −454.590 | + | 133.480i | −1.32534 | + | 0.389154i | ||||
\(50\) | 100.897 | − | 116.441i | 0.285379 | − | 0.329345i | ||||
\(51\) | 30.2744 | + | 19.4562i | 0.0831229 | + | 0.0534199i | ||||
\(52\) | 233.397 | + | 269.354i | 0.622430 | + | 0.718322i | ||||
\(53\) | 25.0158 | + | 173.988i | 0.0648336 | + | 0.450927i | 0.996218 | + | 0.0868900i | \(0.0276929\pi\) |
−0.931384 | + | 0.364037i | \(0.881398\pi\) | |||||||
\(54\) | −44.8062 | − | 13.1563i | −0.112914 | − | 0.0331545i | ||||
\(55\) | 109.072 | − | 70.0966i | 0.267406 | − | 0.171851i | ||||
\(56\) | −91.5100 | + | 636.466i | −0.218367 | + | 1.51877i | ||||
\(57\) | −50.3185 | + | 110.182i | −0.116927 | + | 0.256035i | ||||
\(58\) | 134.378 | − | 294.246i | 0.304218 | − | 0.666145i | ||||
\(59\) | 60.8929 | − | 423.520i | 0.134366 | − | 0.934535i | −0.805404 | − | 0.592726i | \(-0.798052\pi\) |
0.939770 | − | 0.341808i | \(-0.111039\pi\) | |||||||
\(60\) | −75.7563 | + | 48.6856i | −0.163002 | + | 0.104755i | ||||
\(61\) | 714.391 | + | 209.764i | 1.49948 | + | 0.440288i | 0.925553 | − | 0.378617i | \(-0.123600\pi\) |
0.573929 | + | 0.818905i | \(0.305419\pi\) | |||||||
\(62\) | 36.6312 | + | 254.776i | 0.0750350 | + | 0.521880i | ||||
\(63\) | 168.440 | + | 194.390i | 0.336848 | + | 0.388743i | ||||
\(64\) | 257.017 | + | 165.175i | 0.501986 | + | 0.322607i | ||||
\(65\) | −279.269 | + | 322.293i | −0.532908 | + | 0.615009i | ||||
\(66\) | −107.705 | + | 31.6250i | −0.200872 | + | 0.0589813i | ||||
\(67\) | −266.885 | − | 584.396i | −0.486644 | − | 1.06560i | −0.980583 | − | 0.196105i | \(-0.937171\pi\) |
0.493939 | − | 0.869497i | \(-0.335557\pi\) | |||||||
\(68\) | −60.0827 | −0.107149 | ||||||||
\(69\) | −113.489 | + | 310.843i | −0.198006 | + | 0.542335i | ||||
\(70\) | −296.234 | −0.505810 | ||||||||
\(71\) | 237.083 | + | 519.140i | 0.396290 | + | 0.867754i | 0.997633 | + | 0.0687631i | \(0.0219053\pi\) |
−0.601343 | + | 0.798991i | \(0.705367\pi\) | |||||||
\(72\) | 194.290 | − | 57.0486i | 0.318017 | − | 0.0933783i | ||||
\(73\) | −675.216 | + | 779.240i | −1.08258 | + | 1.24936i | −0.115926 | + | 0.993258i | \(0.536983\pi\) |
−0.966650 | + | 0.256101i | \(0.917562\pi\) | |||||||
\(74\) | −132.237 | − | 84.9833i | −0.207732 | − | 0.133501i | ||||
\(75\) | 175.011 | + | 201.974i | 0.269447 | + | 0.310959i | ||||
\(76\) | −28.7804 | − | 200.172i | −0.0434386 | − | 0.302122i | ||||
\(77\) | 593.245 | + | 174.192i | 0.878006 | + | 0.257806i | ||||
\(78\) | 310.603 | − | 199.612i | 0.450883 | − | 0.289765i | ||||
\(79\) | 90.1533 | − | 627.030i | 0.128393 | − | 0.892992i | −0.819199 | − | 0.573509i | \(-0.805582\pi\) |
0.947592 | − | 0.319483i | \(-0.103509\pi\) | |||||||
\(80\) | 2.87794 | − | 6.30182i | 0.00402205 | − | 0.00880706i | ||||
\(81\) | 33.6486 | − | 73.6802i | 0.0461572 | − | 0.101070i | ||||
\(82\) | 104.875 | − | 729.419i | 0.141237 | − | 0.982328i | ||||
\(83\) | 674.050 | − | 433.186i | 0.891405 | − | 0.572871i | −0.0128248 | − | 0.999918i | \(-0.504082\pi\) |
0.904230 | + | 0.427047i | \(0.140446\pi\) | |||||||
\(84\) | −412.038 | − | 120.985i | −0.535203 | − | 0.157150i | ||||
\(85\) | −10.2312 | − | 71.1597i | −0.0130557 | − | 0.0908041i | ||||
\(86\) | −244.730 | − | 282.433i | −0.306859 | − | 0.354134i | ||||
\(87\) | 472.020 | + | 303.349i | 0.581677 | + | 0.373821i | ||||
\(88\) | 318.752 | − | 367.860i | 0.386126 | − | 0.445613i | ||||
\(89\) | 1231.12 | − | 361.488i | 1.46627 | − | 0.430536i | 0.551385 | − | 0.834251i | \(-0.314099\pi\) |
0.914885 | + | 0.403715i | \(0.132281\pi\) | |||||||
\(90\) | 38.7531 | + | 84.8575i | 0.0453882 | + | 0.0993862i | ||||
\(91\) | −2033.66 | −2.34269 | ||||||||
\(92\) | −121.179 | − | 539.023i | −0.137324 | − | 0.610837i | ||||
\(93\) | −446.467 | −0.497812 | ||||||||
\(94\) | 26.6968 | + | 58.4577i | 0.0292932 | + | 0.0641431i | ||||
\(95\) | 232.175 | − | 68.1727i | 0.250744 | − | 0.0736250i | ||||
\(96\) | −357.539 | + | 412.622i | −0.380116 | + | 0.438677i | ||||
\(97\) | −1190.01 | − | 764.776i | −1.24565 | − | 0.800528i | −0.259393 | − | 0.965772i | \(-0.583522\pi\) |
−0.986253 | + | 0.165244i | \(0.947159\pi\) | |||||||
\(98\) | −536.611 | − | 619.283i | −0.553122 | − | 0.638337i | ||||
\(99\) | −27.7097 | − | 192.725i | −0.0281306 | − | 0.195653i | ||||
\(100\) | −428.114 | − | 125.706i | −0.428114 | − | 0.125706i | ||||
\(101\) | −833.115 | + | 535.410i | −0.820772 | + | 0.527478i | −0.882333 | − | 0.470625i | \(-0.844028\pi\) |
0.0615610 | + | 0.998103i | \(0.480392\pi\) | |||||||
\(102\) | −8.85793 | + | 61.6082i | −0.00859868 | + | 0.0598052i | ||||
\(103\) | 369.155 | − | 808.337i | 0.353145 | − | 0.773279i | −0.646799 | − | 0.762661i | \(-0.723893\pi\) |
0.999944 | − | 0.0106187i | \(-0.00338010\pi\) | |||||||
\(104\) | −665.077 | + | 1456.32i | −0.627079 | + | 1.37311i | ||||
\(105\) | 73.1263 | − | 508.604i | 0.0679657 | − | 0.472712i | ||||
\(106\) | −255.755 | + | 164.363i | −0.234350 | + | 0.150607i | ||||
\(107\) | 1347.75 | + | 395.735i | 1.21768 | + | 0.357543i | 0.826588 | − | 0.562808i | \(-0.190279\pi\) |
0.391093 | + | 0.920351i | \(0.372097\pi\) | |||||||
\(108\) | 19.2458 | + | 133.857i | 0.0171475 | + | 0.119263i | ||||
\(109\) | 120.657 | + | 139.246i | 0.106026 | + | 0.122361i | 0.806282 | − | 0.591531i | \(-0.201476\pi\) |
−0.700256 | + | 0.713892i | \(0.746931\pi\) | |||||||
\(110\) | 188.646 | + | 121.235i | 0.163515 | + | 0.105085i | ||||
\(111\) | 178.551 | − | 206.059i | 0.152678 | − | 0.176200i | ||||
\(112\) | 31.6990 | − | 9.30767i | 0.0267435 | − | 0.00785261i | ||||
\(113\) | −537.927 | − | 1177.90i | −0.447822 | − | 0.980594i | −0.990096 | − | 0.140392i | \(-0.955164\pi\) |
0.542274 | − | 0.840202i | \(-0.317564\pi\) | |||||||
\(114\) | −209.497 | −0.172116 | ||||||||
\(115\) | 617.763 | − | 235.307i | 0.500927 | − | 0.190804i | ||||
\(116\) | −936.772 | −0.749803 | ||||||||
\(117\) | 266.041 | + | 582.549i | 0.210218 | + | 0.460314i | ||||
\(118\) | 710.054 | − | 208.491i | 0.553947 | − | 0.162654i | ||||
\(119\) | 224.507 | − | 259.095i | 0.172946 | − | 0.199590i | ||||
\(120\) | −340.301 | − | 218.698i | −0.258875 | − | 0.166369i | ||||
\(121\) | 565.122 | + | 652.186i | 0.424585 | + | 0.489997i | ||||
\(122\) | 183.264 | + | 1274.63i | 0.136000 | + | 0.945898i | ||||
\(123\) | 1226.45 | + | 360.119i | 0.899069 | + | 0.263991i | ||||
\(124\) | 627.071 | − | 402.994i | 0.454134 | − | 0.291854i | ||||
\(125\) | 182.592 | − | 1269.96i | 0.130652 | − | 0.908706i | ||||
\(126\) | −184.804 | + | 404.663i | −0.130664 | + | 0.286113i | ||||
\(127\) | −520.419 | + | 1139.56i | −0.363620 | + | 0.796216i | 0.636078 | + | 0.771625i | \(0.280556\pi\) |
−0.999698 | + | 0.0245912i | \(0.992172\pi\) | |||||||
\(128\) | 132.002 | − | 918.091i | 0.0911516 | − | 0.633973i | ||||
\(129\) | 545.322 | − | 350.457i | 0.372193 | − | 0.239194i | ||||
\(130\) | −707.698 | − | 207.799i | −0.477456 | − | 0.140194i | ||||
\(131\) | 227.501 | + | 1582.31i | 0.151732 | + | 1.05532i | 0.913316 | + | 0.407252i | \(0.133513\pi\) |
−0.761584 | + | 0.648066i | \(0.775578\pi\) | |||||||
\(132\) | 212.878 | + | 245.674i | 0.140369 | + | 0.161994i | ||||
\(133\) | 970.743 | + | 623.859i | 0.632888 | + | 0.406732i | ||||
\(134\) | 727.651 | − | 839.754i | 0.469101 | − | 0.541371i | ||||
\(135\) | −155.258 | + | 45.5879i | −0.0989815 | + | 0.0290636i | ||||
\(136\) | −112.118 | − | 245.504i | −0.0706915 | − | 0.154793i | ||||
\(137\) | −2092.54 | −1.30495 | −0.652473 | − | 0.757812i | \(-0.726268\pi\) | ||||
−0.652473 | + | 0.757812i | \(0.726268\pi\) | |||||||
\(138\) | −570.574 | + | 44.7881i | −0.351960 | + | 0.0276276i | ||||
\(139\) | 1466.18 | 0.894676 | 0.447338 | − | 0.894365i | \(-0.352372\pi\) | ||||
0.447338 | + | 0.894365i | \(0.352372\pi\) | |||||||
\(140\) | 356.374 | + | 780.350i | 0.215136 | + | 0.471083i | ||||
\(141\) | −106.956 | + | 31.4052i | −0.0638819 | + | 0.0187574i | ||||
\(142\) | −646.398 | + | 745.983i | −0.382004 | + | 0.440856i | ||||
\(143\) | 1295.06 | + | 832.286i | 0.757332 | + | 0.486708i | ||||
\(144\) | −6.81307 | − | 7.86270i | −0.00394275 | − | 0.00455017i | ||||
\(145\) | −159.519 | − | 1109.48i | −0.0913607 | − | 0.635428i | ||||
\(146\) | −1711.07 | − | 502.416i | −0.969927 | − | 0.284796i | ||||
\(147\) | 1195.71 | − | 768.437i | 0.670888 | − | 0.431154i | ||||
\(148\) | −64.7834 | + | 450.578i | −0.0359808 | + | 0.250252i | ||||
\(149\) | −776.445 | + | 1700.18i | −0.426905 | + | 0.934792i | 0.566914 | + | 0.823777i | \(0.308137\pi\) |
−0.993819 | + | 0.111015i | \(0.964590\pi\) | |||||||
\(150\) | −192.014 | + | 420.451i | −0.104519 | + | 0.228865i | ||||
\(151\) | −110.342 | + | 767.444i | −0.0594668 | + | 0.413601i | 0.938244 | + | 0.345975i | \(0.112452\pi\) |
−0.997711 | + | 0.0676263i | \(0.978457\pi\) | |||||||
\(152\) | 764.217 | − | 491.132i | 0.407804 | − | 0.262080i | ||||
\(153\) | −103.589 | − | 30.4164i | −0.0547363 | − | 0.0160720i | ||||
\(154\) | 152.186 | + | 1058.48i | 0.0796331 | + | 0.553861i | ||||
\(155\) | 584.072 | + | 674.055i | 0.302670 | + | 0.349299i | ||||
\(156\) | −899.486 | − | 578.065i | −0.461644 | − | 0.296681i | ||||
\(157\) | −514.698 | + | 593.993i | −0.261639 | + | 0.301948i | −0.871336 | − | 0.490687i | \(-0.836746\pi\) |
0.609697 | + | 0.792635i | \(0.291291\pi\) | |||||||
\(158\) | 1051.25 | − | 308.675i | 0.529322 | − | 0.155423i | ||||
\(159\) | −219.062 | − | 479.679i | −0.109263 | − | 0.239252i | ||||
\(160\) | 1090.69 | 0.538917 | ||||||||
\(161\) | 2777.23 | + | 1491.57i | 1.35948 | + | 0.730137i | ||||
\(162\) | 140.093 | 0.0679431 | ||||||||
\(163\) | 562.953 | + | 1232.70i | 0.270515 | + | 0.592345i | 0.995323 | − | 0.0966062i | \(-0.0307988\pi\) |
−0.724808 | + | 0.688951i | \(0.758071\pi\) | |||||||
\(164\) | −2047.63 | + | 601.238i | −0.974957 | + | 0.286273i | ||||
\(165\) | −254.717 | + | 293.959i | −0.120180 | + | 0.138695i | ||||
\(166\) | 1165.80 | + | 749.216i | 0.545083 | + | 0.350304i | ||||
\(167\) | −1312.25 | − | 1514.42i | −0.608055 | − | 0.701733i | 0.365338 | − | 0.930875i | \(-0.380953\pi\) |
−0.973393 | + | 0.229142i | \(0.926408\pi\) | |||||||
\(168\) | −274.530 | − | 1909.40i | −0.126074 | − | 0.876865i | ||||
\(169\) | −2750.37 | − | 807.581i | −1.25187 | − | 0.367583i | ||||
\(170\) | 104.601 | − | 67.2231i | 0.0471914 | − | 0.0303281i | ||||
\(171\) | 51.7151 | − | 359.686i | 0.0231272 | − | 0.160853i | ||||
\(172\) | −449.582 | + | 984.446i | −0.199304 | + | 0.436415i | ||||
\(173\) | −652.179 | + | 1428.07i | −0.286614 | + | 0.627597i | −0.997099 | − | 0.0761150i | \(-0.975748\pi\) |
0.710485 | + | 0.703712i | \(0.248476\pi\) | |||||||
\(174\) | −138.107 | + | 960.557i | −0.0601718 | + | 0.418504i | ||||
\(175\) | 2141.78 | − | 1376.44i | 0.925163 | − | 0.594566i | ||||
\(176\) | −23.9956 | − | 7.04575i | −0.0102769 | − | 0.00301758i | ||||
\(177\) | 182.679 | + | 1270.56i | 0.0775761 | + | 0.539554i | ||||
\(178\) | 1453.25 | + | 1677.13i | 0.611940 | + | 0.706217i | ||||
\(179\) | −3511.81 | − | 2256.90i | −1.46639 | − | 0.942395i | −0.998274 | − | 0.0587301i | \(-0.981295\pi\) |
−0.468121 | − | 0.883665i | \(-0.655069\pi\) | |||||||
\(180\) | 176.914 | − | 204.170i | 0.0732577 | − | 0.0845439i | ||||
\(181\) | −156.101 | + | 45.8353i | −0.0641043 | + | 0.0188227i | −0.313627 | − | 0.949546i | \(-0.601544\pi\) |
0.249523 | + | 0.968369i | \(0.419726\pi\) | |||||||
\(182\) | −1461.14 | − | 3199.46i | −0.595094 | − | 1.30307i | ||||
\(183\) | −2233.65 | −0.902275 | ||||||||
\(184\) | 1976.38 | − | 1501.00i | 0.791850 | − | 0.601386i | ||||
\(185\) | −544.679 | −0.216463 | ||||||||
\(186\) | −320.778 | − | 702.406i | −0.126455 | − | 0.276897i | ||||
\(187\) | −249.005 | + | 73.1146i | −0.0973748 | + | 0.0285918i | ||||
\(188\) | 121.875 | − | 140.651i | 0.0472800 | − | 0.0545640i | ||||
\(189\) | −649.148 | − | 417.182i | −0.249834 | − | 0.160558i | ||||
\(190\) | 274.066 | + | 316.289i | 0.104647 | + | 0.120769i | ||||
\(191\) | −243.533 | − | 1693.81i | −0.0922589 | − | 0.641675i | −0.982511 | − | 0.186206i | \(-0.940381\pi\) |
0.890252 | − | 0.455469i | \(-0.150528\pi\) | |||||||
\(192\) | −879.423 | − | 258.222i | −0.330557 | − | 0.0970602i | ||||
\(193\) | 2918.10 | − | 1875.35i | 1.08834 | − | 0.699434i | 0.131871 | − | 0.991267i | \(-0.457901\pi\) |
0.956469 | + | 0.291833i | \(0.0942650\pi\) | |||||||
\(194\) | 348.184 | − | 2421.67i | 0.128856 | − | 0.896215i | ||||
\(195\) | 531.468 | − | 1163.75i | 0.195175 | − | 0.427375i | ||||
\(196\) | −985.785 | + | 2158.57i | −0.359251 | + | 0.786650i | ||||
\(197\) | −513.808 | + | 3573.61i | −0.185824 | + | 1.29243i | 0.656855 | + | 0.754017i | \(0.271886\pi\) |
−0.842679 | + | 0.538417i | \(0.819023\pi\) | |||||||
\(198\) | 283.297 | − | 182.064i | 0.101682 | − | 0.0653470i | ||||
\(199\) | 394.250 | + | 115.762i | 0.140440 | + | 0.0412370i | 0.351197 | − | 0.936302i | \(-0.385775\pi\) |
−0.210757 | + | 0.977538i | \(0.567593\pi\) | |||||||
\(200\) | −285.241 | − | 1983.89i | −0.100848 | − | 0.701412i | ||||
\(201\) | 1262.15 | + | 1456.60i | 0.442912 | + | 0.511148i | ||||
\(202\) | −1440.91 | − | 926.018i | −0.501892 | − | 0.322547i | ||||
\(203\) | 3500.37 | − | 4039.65i | 1.21024 | − | 1.39669i | ||||
\(204\) | 172.947 | − | 50.7818i | 0.0593564 | − | 0.0174286i | ||||
\(205\) | −1060.76 | − | 2322.75i | −0.361400 | − | 0.791356i | ||||
\(206\) | 1536.95 | 0.519827 | ||||||||
\(207\) | 63.9513 | − | 990.675i | 0.0214730 | − | 0.332641i | ||||
\(208\) | 82.2575 | 0.0274208 | ||||||||
\(209\) | −362.865 | − | 794.565i | −0.120095 | − | 0.262972i | ||||
\(210\) | 852.703 | − | 250.376i | 0.280201 | − | 0.0822743i | ||||
\(211\) | −2456.70 | + | 2835.18i | −0.801545 | + | 0.925032i | −0.998465 | − | 0.0553871i | \(-0.982361\pi\) |
0.196920 | + | 0.980420i | \(0.436906\pi\) | |||||||
\(212\) | 740.649 | + | 475.986i | 0.239943 | + | 0.154202i | ||||
\(213\) | −1121.21 | − | 1293.95i | −0.360678 | − | 0.416244i | ||||
\(214\) | 345.740 | + | 2404.68i | 0.110441 | + | 0.768132i | ||||
\(215\) | −1242.50 | − | 364.830i | −0.394128 | − | 0.115727i | ||||
\(216\) | −511.041 | + | 328.426i | −0.160981 | + | 0.103456i | ||||
\(217\) | −605.301 | + | 4209.96i | −0.189357 | + | 1.31701i | ||||
\(218\) | −132.379 | + | 289.870i | −0.0411277 | + | 0.0900571i | ||||
\(219\) | 1284.98 | − | 2813.72i | 0.396489 | − | 0.868189i | ||||
\(220\) | 92.4187 | − | 642.786i | 0.0283221 | − | 0.196985i | ||||
\(221\) | 718.091 | − | 461.489i | 0.218570 | − | 0.140467i | ||||
\(222\) | 452.468 | + | 132.857i | 0.136791 | + | 0.0401655i | ||||
\(223\) | 97.4850 | + | 678.023i | 0.0292739 | + | 0.203604i | 0.999209 | − | 0.0397579i | \(-0.0126587\pi\) |
−0.969935 | + | 0.243362i | \(0.921750\pi\) | |||||||
\(224\) | 3406.08 | + | 3930.83i | 1.01597 | + | 1.17250i | ||||
\(225\) | −674.474 | − | 433.458i | −0.199844 | − | 0.128432i | ||||
\(226\) | 1466.64 | − | 1692.59i | 0.431678 | − | 0.498183i | ||||
\(227\) | −2401.09 | + | 705.024i | −0.702053 | + | 0.206141i | −0.613228 | − | 0.789906i | \(-0.710129\pi\) |
−0.0888250 | + | 0.996047i | \(0.528311\pi\) | |||||||
\(228\) | 252.028 | + | 551.865i | 0.0732061 | + | 0.160299i | ||||
\(229\) | −5602.15 | −1.61660 | −0.808298 | − | 0.588773i | \(-0.799611\pi\) | ||||
−0.808298 | + | 0.588773i | \(0.799611\pi\) | |||||||
\(230\) | 814.048 | + | 802.833i | 0.233377 | + | 0.230162i | ||||
\(231\) | −1854.87 | −0.528318 | ||||||||
\(232\) | −1748.07 | − | 3827.75i | −0.494684 | − | 1.08321i | ||||
\(233\) | 2564.13 | − | 752.897i | 0.720952 | − | 0.211691i | 0.0993824 | − | 0.995049i | \(-0.468313\pi\) |
0.621570 | + | 0.783359i | \(0.286495\pi\) | |||||||
\(234\) | −725.352 | + | 837.101i | −0.202640 | + | 0.233859i | ||||
\(235\) | 187.335 | + | 120.393i | 0.0520017 | + | 0.0334195i | ||||
\(236\) | −1403.42 | − | 1619.63i | −0.387097 | − | 0.446733i | ||||
\(237\) | 270.460 | + | 1881.09i | 0.0741276 | + | 0.515569i | ||||
\(238\) | 568.926 | + | 167.052i | 0.154949 | + | 0.0454973i | ||||
\(239\) | 2974.28 | − | 1911.45i | 0.804979 | − | 0.517329i | −0.0722578 | − | 0.997386i | \(-0.523020\pi\) |
0.877237 | + | 0.480057i | \(0.159384\pi\) | |||||||
\(240\) | −2.95782 | + | 20.5721i | −0.000795527 | + | 0.00553301i | ||||
\(241\) | 245.192 | − | 536.895i | 0.0655360 | − | 0.143504i | −0.874030 | − | 0.485873i | \(-0.838502\pi\) |
0.939566 | + | 0.342369i | \(0.111229\pi\) | |||||||
\(242\) | −620.024 | + | 1357.66i | −0.164697 | + | 0.360636i | ||||
\(243\) | −34.5825 | + | 240.527i | −0.00912950 | + | 0.0634971i | ||||
\(244\) | 3137.20 | − | 2016.16i | 0.823110 | − | 0.528981i | ||||
\(245\) | −2724.39 | − | 799.953i | −0.710428 | − | 0.208600i | ||||
\(246\) | 314.624 | + | 2188.26i | 0.0815435 | + | 0.567147i | ||||
\(247\) | 1881.47 | + | 2171.34i | 0.484677 | + | 0.559347i | ||||
\(248\) | 2816.83 | + | 1810.27i | 0.721246 | + | 0.463516i | ||||
\(249\) | −1574.11 | + | 1816.62i | −0.400623 | + | 0.462344i | ||||
\(250\) | 2129.15 | − | 625.175i | 0.538637 | − | 0.158158i | ||||
\(251\) | 1383.63 | + | 3029.73i | 0.347945 | + | 0.761892i | 0.999993 | + | 0.00371501i | \(0.00118253\pi\) |
−0.652049 | + | 0.758177i | \(0.726090\pi\) | |||||||
\(252\) | 1288.30 | 0.322045 | ||||||||
\(253\) | −1158.15 | − | 2086.45i | −0.287795 | − | 0.518474i | ||||
\(254\) | −2166.72 | −0.535245 | ||||||||
\(255\) | 89.5943 | + | 196.184i | 0.0220024 | + | 0.0481785i | ||||
\(256\) | 3884.36 | − | 1140.55i | 0.948330 | − | 0.278455i | ||||
\(257\) | −3003.75 | + | 3466.52i | −0.729063 | + | 0.841383i | −0.992366 | − | 0.123330i | \(-0.960643\pi\) |
0.263303 | + | 0.964713i | \(0.415188\pi\) | |||||||
\(258\) | 943.160 | + | 606.132i | 0.227592 | + | 0.146264i | ||||
\(259\) | −1700.96 | − | 1963.01i | −0.408079 | − | 0.470948i | ||||
\(260\) | 303.980 | + | 2114.23i | 0.0725079 | + | 0.504304i | ||||
\(261\) | −1615.09 | − | 474.233i | −0.383033 | − | 0.112469i | ||||
\(262\) | −2325.91 | + | 1494.77i | −0.548455 | + | 0.352471i | ||||
\(263\) | −70.1881 | + | 488.169i | −0.0164562 | + | 0.114455i | −0.996394 | − | 0.0848491i | \(-0.972959\pi\) |
0.979938 | + | 0.199304i | \(0.0638683\pi\) | |||||||
\(264\) | −606.608 | + | 1328.29i | −0.141417 | + | 0.309660i | ||||
\(265\) | −437.618 | + | 958.249i | −0.101444 | + | 0.222131i | ||||
\(266\) | −284.027 | + | 1975.45i | −0.0654693 | + | 0.455349i | ||||
\(267\) | −3238.21 | + | 2081.07i | −0.742230 | + | 0.477002i | ||||
\(268\) | −3087.49 | − | 906.568i | −0.703725 | − | 0.206632i | ||||
\(269\) | 853.783 | + | 5938.19i | 0.193517 | + | 1.34594i | 0.822608 | + | 0.568609i | \(0.192518\pi\) |
−0.629091 | + | 0.777331i | \(0.716573\pi\) | |||||||
\(270\) | −183.271 | − | 211.506i | −0.0413094 | − | 0.0476736i | ||||
\(271\) | 1810.27 | + | 1163.39i | 0.405779 | + | 0.260778i | 0.727571 | − | 0.686032i | \(-0.240649\pi\) |
−0.321792 | + | 0.946810i | \(0.604285\pi\) | |||||||
\(272\) | −9.08088 | + | 10.4799i | −0.00202430 | + | 0.00233617i | ||||
\(273\) | 5853.84 | − | 1718.84i | 1.29777 | − | 0.381059i | ||||
\(274\) | −1503.45 | − | 3292.09i | −0.331484 | − | 0.725849i | ||||
\(275\) | −1927.23 | −0.422606 | ||||||||
\(276\) | 804.391 | + | 1449.15i | 0.175430 | + | 0.316045i | ||||
\(277\) | 1931.70 | 0.419006 | 0.209503 | − | 0.977808i | \(-0.432815\pi\) | ||||
0.209503 | + | 0.977808i | \(0.432815\pi\) | |||||||
\(278\) | 1053.42 | + | 2306.67i | 0.227267 | + | 0.497644i | ||||
\(279\) | 1285.15 | − | 377.353i | 0.275770 | − | 0.0809733i | ||||
\(280\) | −2523.58 | + | 2912.36i | −0.538616 | + | 0.621596i | ||||
\(281\) | −7437.05 | − | 4779.50i | −1.57885 | − | 1.01467i | −0.976256 | − | 0.216620i | \(-0.930497\pi\) |
−0.602596 | − | 0.798046i | \(-0.705867\pi\) | |||||||
\(282\) | −126.254 | − | 145.705i | −0.0266608 | − | 0.0307682i | ||||
\(283\) | 129.718 | + | 902.210i | 0.0272472 | + | 0.189508i | 0.998899 | − | 0.0469072i | \(-0.0149365\pi\) |
−0.971652 | + | 0.236415i | \(0.924027\pi\) | |||||||
\(284\) | 2742.72 | + | 805.336i | 0.573066 | + | 0.168267i | ||||
\(285\) | −610.691 | + | 392.467i | −0.126927 | + | 0.0815711i | ||||
\(286\) | −378.919 | + | 2635.44i | −0.0783425 | + | 0.544884i | ||||
\(287\) | 5058.51 | − | 11076.6i | 1.04040 | − | 2.27816i | ||||
\(288\) | 680.421 | − | 1489.91i | 0.139216 | − | 0.304840i | ||||
\(289\) | 678.714 | − | 4720.56i | 0.138147 | − | 0.960830i | ||||
\(290\) | 1630.88 | − | 1048.10i | 0.330236 | − | 0.212230i | ||||
\(291\) | 4071.82 | + | 1195.59i | 0.820255 | + | 0.240849i | ||||
\(292\) | 734.963 | + | 5111.78i | 0.147296 | + | 1.02447i | ||||
\(293\) | 209.382 | + | 241.640i | 0.0417483 | + | 0.0481801i | 0.776240 | − | 0.630438i | \(-0.217125\pi\) |
−0.734491 | + | 0.678618i | \(0.762579\pi\) | |||||||
\(294\) | 2068.04 | + | 1329.05i | 0.410240 | + | 0.263645i | ||||
\(295\) | 1679.25 | − | 1937.95i | 0.331422 | − | 0.382482i | ||||
\(296\) | −1962.00 | + | 576.095i | −0.385267 | + | 0.113125i | ||||
\(297\) | 242.653 | + | 531.335i | 0.0474079 | + | 0.103809i | ||||
\(298\) | −3232.67 | −0.628401 | ||||||||
\(299\) | 5588.47 | + | 5511.48i | 1.08090 | + | 1.06601i | ||||
\(300\) | 1338.56 | 0.257606 | ||||||||
\(301\) | −2565.31 | − | 5617.24i | −0.491236 | − | 1.07566i | ||||
\(302\) | −1286.66 | + | 377.798i | −0.245163 | + | 0.0719862i | ||||
\(303\) | 1945.58 | − | 2245.31i | 0.368879 | − | 0.425709i | ||||
\(304\) | −39.2647 | − | 25.2339i | −0.00740785 | − | 0.00476074i | ||||
\(305\) | 2922.08 | + | 3372.26i | 0.548583 | + | 0.633099i | ||||
\(306\) | −26.5738 | − | 184.825i | −0.00496445 | − | 0.0345285i | ||||
\(307\) | −4215.21 | − | 1237.70i | −0.783632 | − | 0.230095i | −0.134644 | − | 0.990894i | \(-0.542989\pi\) |
−0.648988 | + | 0.760799i | \(0.724807\pi\) | |||||||
\(308\) | 2605.20 | − | 1674.26i | 0.481964 | − | 0.309739i | ||||
\(309\) | −379.401 | + | 2638.79i | −0.0698490 | + | 0.485811i | ||||
\(310\) | −640.815 | + | 1403.19i | −0.117406 | + | 0.257083i | ||||
\(311\) | −2356.98 | + | 5161.06i | −0.429749 | + | 0.941020i | 0.563618 | + | 0.826036i | \(0.309409\pi\) |
−0.993367 | + | 0.114984i | \(0.963318\pi\) | |||||||
\(312\) | 683.536 | − | 4754.10i | 0.124031 | − | 0.862653i | ||||
\(313\) | 8757.83 | − | 5628.32i | 1.58154 | − | 1.01639i | 0.606303 | − | 0.795234i | \(-0.292652\pi\) |
0.975238 | − | 0.221160i | \(-0.0709843\pi\) | |||||||
\(314\) | −1304.30 | − | 382.978i | −0.234414 | − | 0.0688302i | ||||
\(315\) | 219.379 | + | 1525.81i | 0.0392400 | + | 0.272920i | ||||
\(316\) | −2077.79 | − | 2397.90i | −0.369889 | − | 0.426875i | ||||
\(317\) | −6519.54 | − | 4189.86i | −1.15512 | − | 0.742352i | −0.184470 | − | 0.982838i | \(-0.559057\pi\) |
−0.970653 | + | 0.240486i | \(0.922693\pi\) | |||||||
\(318\) | 597.264 | − | 689.280i | 0.105324 | − | 0.121550i | ||||
\(319\) | −3882.34 | + | 1139.96i | −0.681408 | + | 0.200079i | ||||
\(320\) | 760.617 | + | 1665.52i | 0.132874 | + | 0.290954i | ||||
\(321\) | −4213.94 | −0.732708 | ||||||||
\(322\) | −351.231 | + | 5440.95i | −0.0607867 | + | 0.941653i | ||||
\(323\) | −484.342 | −0.0834351 | ||||||||
\(324\) | −168.535 | − | 369.039i | −0.0288982 | − | 0.0632783i | ||||
\(325\) | 6082.22 | − | 1785.90i | 1.03809 | − | 0.304812i | ||||
\(326\) | −1534.87 | + | 1771.34i | −0.260763 | + | 0.300936i | ||||
\(327\) | −464.999 | − | 298.837i | −0.0786377 | − | 0.0505374i | ||||
\(328\) | −6277.72 | − | 7244.88i | −1.05680 | − | 1.21961i | ||||
\(329\) | 151.129 | + | 1051.12i | 0.0253252 | + | 0.176141i | ||||
\(330\) | −645.482 | − | 189.531i | −0.107675 | − | 0.0316161i | ||||
\(331\) | −7849.11 | + | 5044.32i | −1.30340 | + | 0.837646i | −0.993578 | − | 0.113148i | \(-0.963907\pi\) |
−0.309824 | + | 0.950794i | \(0.600270\pi\) | |||||||
\(332\) | 571.133 | − | 3972.32i | 0.0944126 | − | 0.656654i | ||||
\(333\) | −339.795 | + | 744.047i | −0.0559178 | + | 0.122443i | ||||
\(334\) | 1439.74 | − | 3152.59i | 0.235865 | − | 0.516473i | ||||
\(335\) | 547.950 | − | 3811.07i | 0.0893662 | − | 0.621556i | ||||
\(336\) | −83.3782 | + | 53.5839i | −0.0135377 | + | 0.00870012i | ||||
\(337\) | 5154.58 | + | 1513.52i | 0.833199 | + | 0.244649i | 0.670391 | − | 0.742008i | \(-0.266127\pi\) |
0.162808 | + | 0.986658i | \(0.447945\pi\) | |||||||
\(338\) | −705.557 | − | 4907.25i | −0.113542 | − | 0.789703i | ||||
\(339\) | 2543.97 | + | 2935.89i | 0.407579 | + | 0.470371i | ||||
\(340\) | −302.918 | − | 194.674i | −0.0483178 | − | 0.0310520i | ||||
\(341\) | 2108.42 | − | 2433.24i | 0.334830 | − | 0.386415i | ||||
\(342\) | 603.034 | − | 177.067i | 0.0953460 | − | 0.0279961i | ||||
\(343\) | −1552.68 | − | 3399.89i | −0.244422 | − | 0.535210i | ||||
\(344\) | −4861.50 | −0.761960 | ||||||||
\(345\) | −1579.34 | + | 1199.46i | −0.246460 | + | 0.187179i | ||||
\(346\) | −2715.30 | −0.421894 | ||||||||
\(347\) | 1724.86 | + | 3776.91i | 0.266845 | + | 0.584308i | 0.994861 | − | 0.101252i | \(-0.0322847\pi\) |
−0.728016 | + | 0.685560i | \(0.759557\pi\) | |||||||
\(348\) | 2696.48 | − | 791.758i | 0.415363 | − | 0.121962i | ||||
\(349\) | 2921.28 | − | 3371.33i | 0.448058 | − | 0.517087i | −0.486121 | − | 0.873892i | \(-0.661588\pi\) |
0.934179 | + | 0.356805i | \(0.116134\pi\) | |||||||
\(350\) | 3704.32 | + | 2380.62i | 0.565726 | + | 0.363570i | ||||
\(351\) | −1258.16 | − | 1452.00i | −0.191327 | − | 0.220803i | ||||
\(352\) | −560.328 | − | 3897.16i | −0.0848454 | − | 0.590112i | ||||
\(353\) | −5337.31 | − | 1567.18i | −0.804749 | − | 0.236296i | −0.146612 | − | 0.989194i | \(-0.546837\pi\) |
−0.658137 | + | 0.752898i | \(0.728655\pi\) | |||||||
\(354\) | −1867.66 | + | 1200.27i | −0.280409 | + | 0.180208i | ||||
\(355\) | −486.763 | + | 3385.51i | −0.0727738 | + | 0.506153i | ||||
\(356\) | 2669.69 | − | 5845.81i | 0.397453 | − | 0.870301i | ||||
\(357\) | −427.252 | + | 935.552i | −0.0633406 | + | 0.138697i | ||||
\(358\) | 1027.51 | − | 7146.50i | 0.151692 | − | 1.05504i | ||||
\(359\) | −1880.66 | + | 1208.63i | −0.276483 | + | 0.177685i | −0.671533 | − | 0.740975i | \(-0.734364\pi\) |
0.395050 | + | 0.918660i | \(0.370727\pi\) | |||||||
\(360\) | 1164.39 | + | 341.896i | 0.170469 | + | 0.0500542i | ||||
\(361\) | 744.132 | + | 5175.55i | 0.108490 | + | 0.754563i | ||||
\(362\) | −184.266 | − | 212.654i | −0.0267536 | − | 0.0308753i | ||||
\(363\) | −2177.92 | − | 1399.66i | −0.314906 | − | 0.202378i | ||||
\(364\) | −6670.34 | + | 7697.99i | −0.960497 | + | 1.10847i | ||||
\(365\) | −5929.04 | + | 1740.92i | −0.850247 | + | 0.249655i | ||||
\(366\) | −1604.84 | − | 3514.10i | −0.229197 | − | 0.501871i | ||||
\(367\) | 10359.8 | 1.47351 | 0.736757 | − | 0.676158i | \(-0.236356\pi\) | ||||
0.736757 | + | 0.676158i | \(0.236356\pi\) | |||||||
\(368\) | −112.334 | − | 60.3312i | −0.0159125 | − | 0.00854614i | ||||
\(369\) | −3834.69 | −0.540992 | ||||||||
\(370\) | −391.341 | − | 856.918i | −0.0549861 | − | 0.120403i | ||||
\(371\) | −4820.13 | + | 1415.32i | −0.674524 | + | 0.198058i | ||||
\(372\) | −1464.40 | + | 1690.01i | −0.204101 | + | 0.235545i | ||||
\(373\) | −4903.55 | − | 3151.32i | −0.680687 | − | 0.437451i | 0.154077 | − | 0.988059i | \(-0.450760\pi\) |
−0.834764 | + | 0.550608i | \(0.814396\pi\) | |||||||
\(374\) | −293.933 | − | 339.217i | −0.0406388 | − | 0.0468997i | ||||
\(375\) | 547.776 | + | 3809.87i | 0.0754321 | + | 0.524642i | ||||
\(376\) | 802.141 | + | 235.530i | 0.110019 | + | 0.0323046i | ||||
\(377\) | 11196.0 | − | 7195.25i | 1.52951 | − | 0.982955i | ||||
\(378\) | 189.933 | − | 1321.01i | 0.0258441 | − | 0.179750i | ||||
\(379\) | 3673.77 | − | 8044.44i | 0.497913 | − | 1.09028i | −0.479229 | − | 0.877690i | \(-0.659084\pi\) |
0.977142 | − | 0.212587i | \(-0.0681890\pi\) | |||||||
\(380\) | 503.474 | − | 1102.46i | 0.0679676 | − | 0.148828i | ||||
\(381\) | 534.863 | − | 3720.05i | 0.0719208 | − | 0.500220i | ||||
\(382\) | 2489.82 | − | 1600.11i | 0.333482 | − | 0.214316i | ||||
\(383\) | 568.143 | + | 166.822i | 0.0757983 | + | 0.0222564i | 0.319412 | − | 0.947616i | \(-0.396515\pi\) |
−0.243614 | + | 0.969872i | \(0.578333\pi\) | |||||||
\(384\) | 396.005 | + | 2754.27i | 0.0526264 | + | 0.366025i | ||||
\(385\) | 2426.55 | + | 2800.39i | 0.321217 | + | 0.370705i | ||||
\(386\) | 5047.00 | + | 3243.51i | 0.665507 | + | 0.427695i | ||||
\(387\) | −1273.49 | + | 1469.69i | −0.167274 | + | 0.193045i | ||||
\(388\) | −6798.12 | + | 1996.11i | −0.889490 | + | 0.261178i | ||||
\(389\) | 4552.81 | + | 9969.26i | 0.593410 | + | 1.29939i | 0.933359 | + | 0.358943i | \(0.116863\pi\) |
−0.339949 | + | 0.940444i | \(0.610410\pi\) | |||||||
\(390\) | 2212.73 | 0.287297 | ||||||||
\(391\) | −1319.12 | + | 103.547i | −0.170616 | + | 0.0133928i | ||||
\(392\) | −10659.7 | −1.37346 | ||||||||
\(393\) | −1992.22 | − | 4362.35i | −0.255710 | − | 0.559927i | ||||
\(394\) | −5991.36 | + | 1759.22i | −0.766092 | + | 0.224945i | ||||
\(395\) | 2486.16 | − | 2869.18i | 0.316689 | − | 0.365479i | ||||
\(396\) | −820.408 | − | 527.244i | −0.104109 | − | 0.0669066i | ||||
\(397\) | 5239.80 | + | 6047.05i | 0.662413 | + | 0.764465i | 0.983169 | − | 0.182697i | \(-0.0584826\pi\) |
−0.320757 | + | 0.947162i | \(0.603937\pi\) | |||||||
\(398\) | 101.138 | + | 703.427i | 0.0127376 | + | 0.0885920i | ||||
\(399\) | −3321.55 | − | 975.294i | −0.416755 | − | 0.122370i | ||||
\(400\) | −86.6311 | + | 55.6744i | −0.0108289 | + | 0.00695930i | ||||
\(401\) | 771.765 | − | 5367.75i | 0.0961100 | − | 0.668460i | −0.883630 | − | 0.468186i | \(-0.844908\pi\) |
0.979740 | − | 0.200274i | \(-0.0641832\pi\) | |||||||
\(402\) | −1384.77 | + | 3032.22i | −0.171806 | + | 0.376203i | ||||
\(403\) | −4399.21 | + | 9632.93i | −0.543773 | + | 1.19070i | ||||
\(404\) | −705.911 | + | 4909.72i | −0.0869316 | + | 0.604623i | ||||
\(405\) | 408.377 | − | 262.448i | 0.0501047 | − | 0.0322003i | ||||
\(406\) | 8870.33 | + | 2604.56i | 1.08430 | + | 0.318380i | ||||
\(407\) | 279.821 | + | 1946.20i | 0.0340792 | + | 0.237026i | ||||
\(408\) | 530.229 | + | 611.917i | 0.0643389 | + | 0.0742510i | ||||
\(409\) | 9560.33 | + | 6144.05i | 1.15581 | + | 0.742797i | 0.970789 | − | 0.239937i | \(-0.0771267\pi\) |
0.185026 | + | 0.982734i | \(0.440763\pi\) | |||||||
\(410\) | 2892.13 | − | 3337.70i | 0.348372 | − | 0.402042i | ||||
\(411\) | 6023.33 | − | 1768.61i | 0.722893 | − | 0.212260i | ||||
\(412\) | −1848.97 | − | 4048.68i | −0.221098 | − | 0.484137i | ||||
\(413\) | 12228.4 | 1.45695 | ||||||||
\(414\) | 1604.53 | − | 611.169i | 0.190479 | − | 0.0725539i | ||||
\(415\) | 4801.91 | 0.567992 | ||||||||
\(416\) | 5379.72 | + | 11779.9i | 0.634044 | + | 1.38836i | ||||
\(417\) | −4220.37 | + | 1239.21i | −0.495618 | + | 0.145526i | ||||
\(418\) | 989.339 | − | 1141.76i | 0.115766 | − | 0.133601i | ||||
\(419\) | 10593.1 | + | 6807.78i | 1.23510 | + | 0.793752i | 0.984678 | − | 0.174385i | \(-0.0557936\pi\) |
0.250424 | + | 0.968136i | \(0.419430\pi\) | |||||||
\(420\) | −1685.36 | − | 1945.01i | −0.195803 | − | 0.225969i | ||||
\(421\) | 1454.95 | + | 10119.4i | 0.168432 | + | 1.17147i | 0.882127 | + | 0.471012i | \(0.156111\pi\) |
−0.713695 | + | 0.700456i | \(0.752980\pi\) | |||||||
\(422\) | −6225.54 | − | 1827.98i | −0.718139 | − | 0.210865i | ||||
\(423\) | 281.328 | − | 180.799i | 0.0323372 | − | 0.0207819i | ||||
\(424\) | −562.833 | + | 3914.59i | −0.0644660 | + | 0.448371i | ||||
\(425\) | −443.921 | + | 972.052i | −0.0506667 | + | 0.110945i | ||||
\(426\) | 1230.14 | − | 2693.63i | 0.139907 | − | 0.306354i | ||||
\(427\) | −3028.29 | + | 21062.2i | −0.343207 | + | 2.38705i | ||||
\(428\) | 5918.56 | − | 3803.62i | 0.668421 | − | 0.429568i | ||||
\(429\) | −4431.25 | − | 1301.13i | −0.498702 | − | 0.146432i | ||||
\(430\) | −318.740 | − | 2216.89i | −0.0357465 | − | 0.248623i | ||||
\(431\) | −5140.45 | − | 5932.40i | −0.574494 | − | 0.663001i | 0.391918 | − | 0.920000i | \(-0.371812\pi\) |
−0.966412 | + | 0.256999i | \(0.917266\pi\) | |||||||
\(432\) | 26.2568 | + | 16.8742i | 0.00292426 | + | 0.00187931i | ||||
\(433\) | 645.047 | − | 744.424i | 0.0715912 | − | 0.0826206i | −0.718824 | − | 0.695192i | \(-0.755319\pi\) |
0.790415 | + | 0.612571i | \(0.209865\pi\) | |||||||
\(434\) | −7058.23 | + | 2072.48i | −0.780659 | + | 0.229222i | ||||
\(435\) | 1396.90 | + | 3058.78i | 0.153968 | + | 0.337143i | ||||
\(436\) | 922.839 | 0.101367 | ||||||||
\(437\) | −976.853 | − | 4345.20i | −0.106932 | − | 0.475650i | ||||
\(438\) | 5349.92 | 0.583628 | ||||||||
\(439\) | −1715.69 | − | 3756.85i | −0.186528 | − | 0.408438i | 0.793147 | − | 0.609030i | \(-0.208441\pi\) |
−0.979675 | + | 0.200591i | \(0.935714\pi\) | |||||||
\(440\) | 2798.95 | − | 821.846i | 0.303261 | − | 0.0890454i | ||||
\(441\) | −2792.35 | + | 3222.54i | −0.301517 | + | 0.347969i | ||||
\(442\) | 1241.97 | + | 798.168i | 0.133653 | + | 0.0858936i | ||||
\(443\) | −9094.83 | − | 10496.0i | −0.975414 | − | 1.12569i | −0.992052 | − | 0.125826i | \(-0.959842\pi\) |
0.0166384 | − | 0.999862i | \(-0.494704\pi\) | |||||||
\(444\) | −194.350 | − | 1351.74i | −0.0207735 | − | 0.144483i | ||||
\(445\) | 7378.16 | + | 2166.42i | 0.785974 | + | 0.230783i | ||||
\(446\) | −996.661 | + | 640.515i | −0.105814 | + | 0.0680028i | ||||
\(447\) | 797.995 | − | 5550.18i | 0.0844382 | − | 0.587280i | ||||
\(448\) | −3627.19 | + | 7942.43i | −0.382519 | + | 0.837600i | ||||
\(449\) | −2155.28 | + | 4719.41i | −0.226535 | + | 0.496042i | −0.988434 | − | 0.151654i | \(-0.951540\pi\) |
0.761899 | + | 0.647696i | \(0.224267\pi\) | |||||||
\(450\) | 197.343 | − | 1372.55i | 0.0206729 | − | 0.143783i | ||||
\(451\) | −7754.50 | + | 4983.51i | −0.809634 | + | 0.520320i | ||||
\(452\) | −6223.07 | − | 1827.26i | −0.647585 | − | 0.190148i | ||||
\(453\) | −331.026 | − | 2302.33i | −0.0343332 | − | 0.238793i | ||||
\(454\) | −2834.32 | − | 3270.98i | −0.292998 | − | 0.338138i | ||||
\(455\) | −10253.1 | − | 6589.24i | −1.05642 | − | 0.678920i | ||||
\(456\) | −1784.68 | + | 2059.63i | −0.183279 | + | 0.211515i | ||||
\(457\) | 11382.9 | − | 3342.33i | 1.16515 | − | 0.342118i | 0.358716 | − | 0.933447i | \(-0.383215\pi\) |
0.806430 | + | 0.591329i | \(0.201397\pi\) | |||||||
\(458\) | −4025.04 | − | 8813.60i | −0.410650 | − | 0.899197i | ||||
\(459\) | 323.886 | 0.0329361 | ||||||||
\(460\) | 1135.54 | − | 3110.22i | 0.115097 | − | 0.315249i | ||||
\(461\) | −8478.16 | −0.856545 | −0.428273 | − | 0.903650i | \(-0.640878\pi\) | ||||
−0.428273 | + | 0.903650i | \(0.640878\pi\) | |||||||
\(462\) | −1332.69 | − | 2918.18i | −0.134204 | − | 0.293866i | ||||
\(463\) | −3241.65 | + | 951.835i | −0.325383 | + | 0.0955411i | −0.440345 | − | 0.897829i | \(-0.645144\pi\) |
0.114961 | + | 0.993370i | \(0.463326\pi\) | |||||||
\(464\) | −141.583 | + | 163.396i | −0.0141656 | + | 0.0163480i | ||||
\(465\) | −2250.95 | − | 1446.60i | −0.224484 | − | 0.144267i | ||||
\(466\) | 3026.78 | + | 3493.09i | 0.300886 | + | 0.347241i | ||||
\(467\) | 1037.00 | + | 7212.50i | 0.102755 | + | 0.714678i | 0.974446 | + | 0.224622i | \(0.0721146\pi\) |
−0.871691 | + | 0.490056i | \(0.836976\pi\) | |||||||
\(468\) | 3077.73 | + | 903.703i | 0.303992 | + | 0.0892600i | ||||
\(469\) | 15446.2 | − | 9926.66i | 1.52076 | − | 0.977336i | ||||
\(470\) | −54.8120 | + | 381.226i | −0.00537934 | + | 0.0374141i | ||||
\(471\) | 979.506 | − | 2144.82i | 0.0958243 | − | 0.209826i | ||||
\(472\) | 3999.12 | − | 8756.85i | 0.389988 | − | 0.853955i | ||||
\(473\) | −665.264 | + | 4627.01i | −0.0646699 | + | 0.449789i | ||||
\(474\) | −2765.11 | + | 1777.03i | −0.267944 | + | 0.172197i | ||||
\(475\) | −3451.13 | − | 1013.34i | −0.333366 | − | 0.0978851i | ||||
\(476\) | −244.373 | − | 1699.65i | −0.0235311 | − | 0.163662i | ||||
\(477\) | 1035.99 | + | 1195.59i | 0.0994438 | + | 0.114764i | ||||
\(478\) | 5144.16 | + | 3305.95i | 0.492235 | + | 0.316340i | ||||
\(479\) | 10435.6 | − | 12043.4i | 0.995440 | − | 1.14880i | 0.00657616 | − | 0.999978i | \(-0.497907\pi\) |
0.988864 | − | 0.148821i | \(-0.0475478\pi\) | |||||||
\(480\) | −3139.53 | + | 921.850i | −0.298540 | + | 0.0876594i | ||||
\(481\) | −2686.57 | − | 5882.77i | −0.254672 | − | 0.557654i | ||||
\(482\) | 1020.84 | 0.0964685 | ||||||||
\(483\) | −9254.87 | − | 1946.14i | −0.871865 | − | 0.183339i | ||||
\(484\) | 4322.30 | 0.405926 | ||||||||
\(485\) | −3521.73 | − | 7711.52i | −0.329719 | − | 0.721984i | ||||
\(486\) | −403.256 | + | 118.407i | −0.0376380 | + | 0.0110515i | ||||
\(487\) | −1401.19 | + | 1617.06i | −0.130378 | + | 0.150464i | −0.817185 | − | 0.576376i | \(-0.804466\pi\) |
0.686807 | + | 0.726840i | \(0.259012\pi\) | |||||||
\(488\) | 14092.5 | + | 9056.67i | 1.30724 | + | 0.840115i | ||||
\(489\) | −2662.32 | − | 3072.48i | −0.246205 | − | 0.284136i | ||||
\(490\) | −698.892 | − | 4860.90i | −0.0644341 | − | 0.448149i | ||||
\(491\) | 2319.03 | + | 680.929i | 0.213149 | + | 0.0625863i | 0.386564 | − | 0.922263i | \(-0.373662\pi\) |
−0.173415 | + | 0.984849i | \(0.555480\pi\) | |||||||
\(492\) | 5385.89 | − | 3461.30i | 0.493526 | − | 0.317170i | ||||
\(493\) | −319.294 | + | 2220.74i | −0.0291689 | + | 0.202874i | ||||
\(494\) | −2064.26 | + | 4520.09i | −0.188007 | + | 0.411677i | ||||
\(495\) | 484.744 | − | 1061.44i | 0.0440154 | − | 0.0963804i | ||||
\(496\) | 24.4833 | − | 170.285i | 0.00221640 | − | 0.0154154i | ||||
\(497\) | −13721.4 | + | 8818.21i | −1.23841 | + | 0.795876i | ||||
\(498\) | −3988.97 | − | 1171.27i | −0.358936 | − | 0.105393i | ||||
\(499\) | −971.599 | − | 6757.62i | −0.0871638 | − | 0.606238i | −0.985848 | − | 0.167641i | \(-0.946385\pi\) |
0.898684 | − | 0.438596i | \(-0.144524\pi\) | |||||||
\(500\) | −4208.26 | − | 4856.59i | −0.376398 | − | 0.434386i | ||||
\(501\) | 5057.28 | + | 3250.11i | 0.450983 | + | 0.289829i | ||||
\(502\) | −3772.42 | + | 4353.61i | −0.335401 | + | 0.387074i | ||||
\(503\) | −15931.7 | + | 4677.97i | −1.41225 | + | 0.414673i | −0.896871 | − | 0.442292i | \(-0.854166\pi\) |
−0.515375 | + | 0.856965i | \(0.672347\pi\) | |||||||
\(504\) | 2404.05 | + | 5264.13i | 0.212470 | + | 0.465244i | ||||
\(505\) | −5935.08 | −0.522986 | ||||||||
\(506\) | 2450.41 | − | 3321.13i | 0.215284 | − | 0.291783i | ||||
\(507\) | 8599.44 | 0.753283 | ||||||||
\(508\) | 2606.60 | + | 5707.66i | 0.227656 | + | 0.498497i | ||||
\(509\) | −6807.91 | + | 1998.98i | −0.592839 | + | 0.174073i | −0.564371 | − | 0.825521i | \(-0.690881\pi\) |
−0.0284684 | + | 0.999595i | \(0.509063\pi\) | |||||||
\(510\) | −244.276 | + | 281.909i | −0.0212092 | + | 0.0244767i | ||||
\(511\) | −24789.8 | − | 15931.5i | −2.14606 | − | 1.37919i | ||||
\(512\) | −274.025 | − | 316.242i | −0.0236530 | − | 0.0272970i | ||||
\(513\) | 155.145 | + | 1079.06i | 0.0133525 | + | 0.0928686i | ||||
\(514\) | −7611.85 | − | 2235.04i | −0.653199 | − | 0.191797i | ||||
\(515\) | 4480.25 | − | 2879.28i | 0.383347 | − | 0.246362i | ||||
\(516\) | 462.059 | − | 3213.69i | 0.0394206 | − | 0.274176i | ||||
\(517\) | 333.937 | − | 731.220i | 0.0284072 | − | 0.0622032i | ||||
\(518\) | 1866.21 | − | 4086.42i | 0.158294 | − | 0.346616i | ||||
\(519\) | 670.280 | − | 4661.90i | 0.0566898 | − | 0.394286i | ||||
\(520\) | −8071.72 | + | 5187.38i | −0.680708 | + | 0.437464i | ||||
\(521\) | 11275.4 | + | 3310.77i | 0.948150 | + | 0.278402i | 0.719017 | − | 0.694993i | \(-0.244592\pi\) |
0.229134 | + | 0.973395i | \(0.426411\pi\) | |||||||
\(522\) | −414.322 | − | 2881.67i | −0.0347402 | − | 0.241623i | ||||
\(523\) | 12256.4 | + | 14144.6i | 1.02473 | + | 1.18260i | 0.983024 | + | 0.183475i | \(0.0587345\pi\) |
0.0417081 | + | 0.999130i | \(0.486720\pi\) | |||||||
\(524\) | 6735.69 | + | 4328.76i | 0.561546 | + | 0.360883i | ||||
\(525\) | −5001.71 | + | 5772.29i | −0.415796 | + | 0.479854i | ||||
\(526\) | −818.441 | + | 240.316i | −0.0678436 | + | 0.0199207i | ||||
\(527\) | −741.615 | − | 1623.91i | −0.0613003 | − | 0.134229i | ||||
\(528\) | 75.0259 | 0.00618387 | ||||||||
\(529\) | −3589.45 | − | 11625.5i | −0.295015 | − | 0.955493i | ||||
\(530\) | −1821.99 | −0.149325 | ||||||||
\(531\) | −1599.71 | − | 3502.88i | −0.130737 | − | 0.286275i | ||||
\(532\) | 5545.50 | − | 1628.31i | 0.451932 | − | 0.132699i | ||||
\(533\) | 19854.6 | − | 22913.4i | 1.61351 | − | 1.86208i | ||||
\(534\) | −5600.65 | − | 3599.32i | −0.453865 | − | 0.291681i | ||||
\(535\) | 5512.71 | + | 6362.01i | 0.445486 | + | 0.514119i | ||||
\(536\) | −2057.11 | − | 14307.5i | −0.165771 | − | 1.15297i | ||||
\(537\) | 12016.2 | + | 3528.27i | 0.965617 | + | 0.283531i | ||||
\(538\) | −8728.85 | + | 5609.69i | −0.699493 | + | 0.449537i | ||||
\(539\) | −1458.70 | + | 10145.5i | −0.116569 | + | 0.810757i | ||||
\(540\) | −336.680 | + | 737.225i | −0.0268303 | + | 0.0587502i | ||||
\(541\) | 3318.63 | − | 7266.78i | 0.263732 | − | 0.577492i | −0.730721 | − | 0.682676i | \(-0.760816\pi\) |
0.994453 | + | 0.105184i | \(0.0335432\pi\) | |||||||
\(542\) | −529.663 | + | 3683.89i | −0.0419760 | + | 0.291949i | ||||
\(543\) | 410.593 | − | 263.872i | 0.0324498 | − | 0.0208542i | ||||
\(544\) | −2094.70 | − | 615.061i | −0.165091 | − | 0.0484752i | ||||
\(545\) | 157.146 | + | 1092.97i | 0.0123512 | + | 0.0859044i | ||||
\(546\) | 6910.04 | + | 7974.61i | 0.541616 | + | 0.625058i | ||||
\(547\) | −8368.54 | − | 5378.13i | −0.654137 | − | 0.420388i | 0.171039 | − | 0.985264i | \(-0.445288\pi\) |
−0.825176 | + | 0.564876i | \(0.808924\pi\) | |||||||
\(548\) | −6863.47 | + | 7920.87i | −0.535024 | + | 0.617451i | ||||
\(549\) | 6429.52 | − | 1887.88i | 0.499827 | − | 0.146763i | ||||
\(550\) | −1384.68 | − | 3032.03i | −0.107351 | − | 0.235066i | ||||
\(551\) | −7551.56 | −0.583861 | ||||||||
\(552\) | −4420.32 | + | 5991.02i | −0.340835 | + | 0.461947i | ||||
\(553\) | 18104.4 | 1.39218 | ||||||||
\(554\) | 1387.89 | + | 3039.06i | 0.106437 | + | 0.233063i | ||||
\(555\) | 1567.85 | − | 460.362i | 0.119913 | − | 0.0352095i | ||||
\(556\) | 4809.04 | − | 5549.93i | 0.366814 | − | 0.423326i | ||||
\(557\) | 19419.3 | + | 12480.0i | 1.47724 | + | 0.949365i | 0.997404 | + | 0.0720068i | \(0.0229403\pi\) |
0.479836 | + | 0.877358i | \(0.340696\pi\) | |||||||
\(558\) | 1517.02 | + | 1750.74i | 0.115091 | + | 0.132822i | ||||
\(559\) | −2188.16 | − | 15219.0i | −0.165562 | − | 1.15151i | ||||
\(560\) | 189.974 | + | 55.7815i | 0.0143355 | + | 0.00420928i | ||||
\(561\) | 654.961 | − | 420.918i | 0.0492914 | − | 0.0316776i | ||||
\(562\) | 2175.99 | − | 15134.3i | 0.163325 | − | 1.13595i | ||||
\(563\) | −7914.87 | + | 17331.2i | −0.592490 | + | 1.29737i | 0.341435 | + | 0.939905i | \(0.389087\pi\) |
−0.933926 | + | 0.357468i | \(0.883640\pi\) | |||||||
\(564\) | −231.936 | + | 507.870i | −0.0173161 | + | 0.0379170i | ||||
\(565\) | 1104.44 | − | 7681.52i | 0.0822371 | − | 0.571971i | ||||
\(566\) | −1326.20 | + | 852.300i | −0.0984886 | + | 0.0632948i | ||||
\(567\) | 2221.16 | + | 652.191i | 0.164515 | + | 0.0483059i | ||||
\(568\) | 1827.40 | + | 12709.9i | 0.134993 | + | 0.938898i | ||||
\(569\) | −17633.8 | − | 20350.5i | −1.29920 | − | 1.49936i | −0.745183 | − | 0.666861i | \(-0.767638\pi\) |
−0.554022 | − | 0.832502i | \(-0.686908\pi\) | |||||||
\(570\) | −1056.22 | − | 678.791i | −0.0776144 | − | 0.0498797i | ||||
\(571\) | −8734.61 | + | 10080.3i | −0.640161 | + | 0.738785i | −0.979403 | − | 0.201914i | \(-0.935284\pi\) |
0.339242 | + | 0.940699i | \(0.389829\pi\) | |||||||
\(572\) | 7398.22 | − | 2172.31i | 0.540795 | − | 0.158792i | ||||
\(573\) | 2132.61 | + | 4669.77i | 0.155482 | + | 0.340458i | ||||
\(574\) | 21060.7 | 1.53146 | ||||||||
\(575\) | −9615.94 | − | 2022.07i | −0.697413 | − | 0.146654i | ||||
\(576\) | 2749.65 | 0.198904 | ||||||||
\(577\) | −7941.94 | − | 17390.4i | −0.573011 | − | 1.25472i | −0.945179 | − | 0.326553i | \(-0.894113\pi\) |
0.372168 | − | 0.928165i | \(-0.378615\pi\) | |||||||
\(578\) | 7914.28 | − | 2323.84i | 0.569534 | − | 0.167230i | ||||
\(579\) | −6814.66 | + | 7864.54i | −0.489132 | + | 0.564489i | ||||
\(580\) | −4722.91 | − | 3035.23i | −0.338118 | − | 0.217295i | ||||
\(581\) | 14995.7 | + | 17306.0i | 1.07079 | + | 1.23575i | ||||
\(582\) | 1044.55 | + | 7265.01i | 0.0743952 | + | 0.517430i | ||||
\(583\) | 3648.75 | + | 1071.37i | 0.259204 | + | 0.0761091i | ||||
\(584\) | −19515.8 | + | 12542.0i | −1.38282 | + | 0.888686i | ||||
\(585\) | −546.218 | + | 3799.03i | −0.0386040 | + | 0.268497i | ||||
\(586\) | −229.724 | + | 503.025i | −0.0161942 | + | 0.0354604i | ||||
\(587\) | −833.267 | + | 1824.60i | −0.0585905 | + | 0.128295i | −0.936663 | − | 0.350233i | \(-0.886102\pi\) |
0.878072 | + | 0.478528i | \(0.158830\pi\) | |||||||
\(588\) | 1013.14 | − | 7046.57i | 0.0710567 | − | 0.494211i | ||||
\(589\) | 5054.98 | − | 3248.64i | 0.353628 | − | 0.227263i | ||||
\(590\) | 4255.40 | + | 1249.50i | 0.296936 | + | 0.0871881i | ||||
\(591\) | −1541.42 | − | 10720.8i | −0.107286 | − | 0.746187i | ||||
\(592\) | 68.8006 | + | 79.4001i | 0.00477650 | + | 0.00551237i | ||||
\(593\) | −12375.0 | − | 7952.91i | −0.856964 | − | 0.550737i | 0.0367759 | − | 0.999324i | \(-0.488291\pi\) |
−0.893739 | + | 0.448586i | \(0.851928\pi\) | |||||||
\(594\) | −661.583 | + | 763.508i | −0.0456988 | + | 0.0527392i | ||||
\(595\) | 1971.39 | − | 578.851i | 0.135830 | − | 0.0398833i | ||||
\(596\) | 3888.95 | + | 8515.62i | 0.267278 | + | 0.585257i | ||||
\(597\) | −1232.68 | −0.0845063 | ||||||||
\(598\) | −4655.74 | + | 12752.0i | −0.318374 | + | 0.872018i | ||||
\(599\) | 11350.3 | 0.774227 | 0.387113 | − | 0.922032i | \(-0.373472\pi\) | ||||
0.387113 | + | 0.922032i | \(0.373472\pi\) | |||||||
\(600\) | 2497.84 | + | 5469.50i | 0.169956 | + | 0.372153i | ||||
\(601\) | −14539.5 | + | 4269.19i | −0.986822 | + | 0.289757i | −0.735038 | − | 0.678026i | \(-0.762836\pi\) |
−0.251784 | + | 0.967783i | \(0.581017\pi\) | |||||||
\(602\) | 6994.22 | − | 8071.76i | 0.473527 | − | 0.546479i | ||||
\(603\) | −4864.19 | − | 3126.03i | −0.328500 | − | 0.211114i | ||||
\(604\) | 2543.08 | + | 2934.88i | 0.171319 | + | 0.197713i | ||||
\(605\) | 736.025 | + | 5119.17i | 0.0494606 | + | 0.344006i | ||||
\(606\) | 4930.30 | + | 1447.67i | 0.330495 | + | 0.0970421i | ||||
\(607\) | −15655.3 | + | 10061.0i | −1.04683 | + | 0.672760i | −0.946668 | − | 0.322211i | \(-0.895574\pi\) |
−0.100167 | + | 0.994971i | \(0.531938\pi\) | |||||||
\(608\) | 1045.75 | − | 7273.34i | 0.0697545 | − | 0.485153i | ||||
\(609\) | −6661.45 | + | 14586.5i | −0.443244 | + | 0.970569i | ||||
\(610\) | −3205.96 | + | 7020.08i | −0.212796 | + | 0.465958i | ||||
\(611\) | −376.286 | + | 2617.13i | −0.0249147 | + | 0.173286i | ||||
\(612\) | −454.903 | + | 292.349i | −0.0300464 | + | 0.0193096i | ||||
\(613\) | −16464.6 | − | 4834.46i | −1.08483 | − | 0.318535i | −0.310021 | − | 0.950730i | \(-0.600336\pi\) |
−0.774809 | + | 0.632195i | \(0.782154\pi\) | |||||||
\(614\) | −1081.34 | − | 7520.86i | −0.0710736 | − | 0.494328i | ||||
\(615\) | 5016.57 | + | 5789.43i | 0.328923 | + | 0.379597i | ||||
\(616\) | 11702.7 | + | 7520.84i | 0.765444 | + | 0.491921i | ||||
\(617\) | −143.663 | + | 165.796i | −0.00937384 | + | 0.0108180i | −0.760417 | − | 0.649435i | \(-0.775005\pi\) |
0.751043 | + | 0.660253i | \(0.229551\pi\) | |||||||
\(618\) | −4424.07 | + | 1299.03i | −0.287965 | + | 0.0845542i | ||||
\(619\) | 10621.0 | + | 23256.8i | 0.689652 | + | 1.51013i | 0.852083 | + | 0.523407i | \(0.175339\pi\) |
−0.162431 | + | 0.986720i | \(0.551933\pi\) | |||||||
\(620\) | 4467.24 | 0.289369 | ||||||||
\(621\) | 653.234 | + | 2905.69i | 0.0422116 | + | 0.187764i | ||||
\(622\) | −9813.10 | −0.632588 | ||||||||
\(623\) | 15233.2 | + | 33356.2i | 0.979626 | + | 2.14508i | ||||
\(624\) | −236.777 | + | 69.5239i | −0.0151901 | + | 0.00446023i | ||||
\(625\) | −2256.78 | + | 2604.47i | −0.144434 | + | 0.166686i | ||||
\(626\) | 15147.1 | + | 9734.45i | 0.967092 | + | 0.621513i | ||||
\(627\) | 1716.06 | + | 1980.44i | 0.109303 | + | 0.126142i | ||||
\(628\) | 560.242 | + | 3896.57i | 0.0355989 | + | 0.247595i | ||||
\(629\) | 1046.07 | + | 307.154i | 0.0663110 | + | 0.0194707i | ||||
\(630\) | −2242.87 | + | 1441.41i | −0.141838 | + | 0.0911539i | ||||
\(631\) | −1665.72 | + | 11585.4i | −0.105089 | + | 0.730913i | 0.867340 | + | 0.497716i | \(0.165828\pi\) |
−0.972430 | + | 0.233197i | \(0.925081\pi\) | |||||||
\(632\) | 5920.78 | − | 12964.7i | 0.372652 | − | 0.815994i | ||||
\(633\) | 4675.26 | − | 10237.4i | 0.293563 | − | 0.642812i | ||||
\(634\) | 1907.54 | − | 13267.2i | 0.119492 | − | 0.831086i | ||||
\(635\) | −6316.07 | + | 4059.09i | −0.394717 | + | 0.253669i | ||||
\(636\) | −2534.24 | − | 744.121i | −0.158002 | − | 0.0463936i | ||||
\(637\) | −4797.92 | − | 33370.3i | −0.298431 | − | 2.07563i | ||||
\(638\) | −4582.82 | − | 5288.86i | −0.284382 | − | 0.328194i | ||||
\(639\) | 4321.04 | + | 2776.96i | 0.267508 | + | 0.171917i | ||||
\(640\) | 3640.21 | − | 4201.03i | 0.224831 | − | 0.259469i | ||||
\(641\) | 5982.71 | − | 1756.68i | 0.368647 | − | 0.108245i | −0.0921615 | − | 0.995744i | \(-0.529378\pi\) |
0.460809 | + | 0.887499i | \(0.347559\pi\) | |||||||
\(642\) | −3027.63 | − | 6629.59i | −0.186123 | − | 0.407553i | ||||
\(643\) | −28264.5 | −1.73350 | −0.866752 | − | 0.498739i | \(-0.833797\pi\) | ||||
−0.866752 | + | 0.498739i | \(0.833797\pi\) | |||||||
\(644\) | 14755.3 | − | 5620.32i | 0.902856 | − | 0.343900i | ||||
\(645\) | 3884.86 | 0.237157 | ||||||||
\(646\) | −347.990 | − | 761.993i | −0.0211943 | − | 0.0464090i | ||||
\(647\) | 10218.5 | − | 3000.43i | 0.620915 | − | 0.182317i | 0.0438802 | − | 0.999037i | \(-0.486028\pi\) |
0.577034 | + | 0.816720i | \(0.304210\pi\) | |||||||
\(648\) | 1193.44 | − | 1377.30i | 0.0723497 | − | 0.0834960i | ||||
\(649\) | −7787.22 | − | 5004.54i | −0.470994 | − | 0.302690i | ||||
\(650\) | 7179.63 | + | 8285.73i | 0.433243 | + | 0.499989i | ||||
\(651\) | −1815.90 | − | 12629.9i | −0.109325 | − | 0.760375i | ||||
\(652\) | 6512.59 | + | 1912.27i | 0.391185 | + | 0.114862i | ||||
\(653\) | −12346.2 | + | 7934.43i | −0.739885 | + | 0.475495i | −0.855502 | − | 0.517799i | \(-0.826752\pi\) |
0.115618 | + | 0.993294i | \(0.463115\pi\) | |||||||
\(654\) | 136.053 | − | 946.270i | 0.00813470 | − | 0.0565781i | ||||
\(655\) | −3979.83 | + | 8714.61i | −0.237412 | + | 0.519860i | ||||
\(656\) | −204.607 | + | 448.027i | −0.0121777 | + | 0.0266654i | ||||
\(657\) | −1320.65 | + | 9185.29i | −0.0784221 | + | 0.545437i | ||||
\(658\) | −1545.10 | + | 992.975i | −0.0915414 | + | 0.0588301i | ||||
\(659\) | 4554.25 | + | 1337.25i | 0.269208 | + | 0.0790467i | 0.413551 | − | 0.910481i | \(-0.364288\pi\) |
−0.144342 | + | 0.989528i | \(0.546107\pi\) | |||||||
\(660\) | 277.256 | + | 1928.36i | 0.0163518 | + | 0.113729i | ||||
\(661\) | −12618.8 | − | 14562.8i | −0.742532 | − | 0.856927i | 0.251290 | − | 0.967912i | \(-0.419145\pi\) |
−0.993822 | + | 0.110984i | \(0.964600\pi\) | |||||||
\(662\) | −13575.4 | − | 8724.39i | −0.797015 | − | 0.512210i | ||||
\(663\) | −1676.96 | + | 1935.32i | −0.0982319 | + | 0.113366i | ||||
\(664\) | 17297.1 | − | 5078.88i | 1.01093 | − | 0.296835i | ||||
\(665\) | 2872.82 | + | 6290.60i | 0.167524 | + | 0.366826i | ||||
\(666\) | −1414.71 | −0.0823106 | ||||||||
\(667\) | −20567.0 | + | 1614.44i | −1.19394 | + | 0.0937199i | ||||
\(668\) | −10036.7 | −0.581334 | ||||||||
\(669\) | −853.672 | − | 1869.28i | −0.0493346 | − | 0.108028i | ||||
\(670\) | 6389.47 | − | 1876.12i | 0.368428 | − | 0.108180i | ||||
\(671\) | 10548.3 | − | 12173.4i | 0.606874 | − | 0.700370i | ||||
\(672\) | −13126.7 | − | 8435.99i | −0.753529 | − | 0.484264i | ||||
\(673\) | 19099.7 | + | 22042.2i | 1.09396 | + | 1.26250i | 0.962529 | + | 0.271177i | \(0.0874130\pi\) |
0.131435 | + | 0.991325i | \(0.458042\pi\) | |||||||
\(674\) | 1322.31 | + | 9196.90i | 0.0755692 | + | 0.525595i | ||||
\(675\) | 2307.82 | + | 677.636i | 0.131597 | + | 0.0386403i | ||||
\(676\) | −12078.1 | + | 7762.10i | −0.687191 | + | 0.441631i | ||||
\(677\) | −674.603 | + | 4691.97i | −0.0382971 | + | 0.266362i | −0.999969 | − | 0.00783980i | \(-0.997504\pi\) |
0.961672 | + | 0.274202i | \(0.0884136\pi\) | |||||||
\(678\) | −2791.11 | + | 6111.68i | −0.158100 | + | 0.346191i | ||||
\(679\) | 16794.2 | − | 36774.3i | 0.949196 | − | 2.07845i | ||||
\(680\) | 230.193 | − | 1601.03i | 0.0129816 | − | 0.0902892i | ||||
\(681\) | 6315.61 | − | 4058.79i | 0.355381 | − | 0.228390i | ||||
\(682\) | 5342.96 | + | 1568.83i | 0.299989 | + | 0.0880847i | ||||
\(683\) | −2007.79 | − | 13964.5i | −0.112483 | − | 0.782337i | −0.965491 | − | 0.260438i | \(-0.916133\pi\) |
0.853008 | − | 0.521899i | \(-0.174776\pi\) | |||||||
\(684\) | −1191.89 | − | 1375.52i | −0.0666275 | − | 0.0768922i | ||||
\(685\) | −10549.9 | − | 6780.02i | −0.588455 | − | 0.378177i | ||||
\(686\) | 4233.32 | − | 4885.51i | 0.235611 | − | 0.271909i | ||||
\(687\) | 16125.7 | − | 4734.92i | 0.895535 | − | 0.262953i | ||||
\(688\) | 103.762 | + | 227.207i | 0.00574983 | + | 0.0125904i | ||||
\(689\) | −12508.0 | −0.691607 | ||||||||
\(690\) | −3021.77 | − | 1622.91i | −0.166720 | − | 0.0895406i | ||||
\(691\) | 9348.75 | 0.514679 | 0.257340 | − | 0.966321i | \(-0.417154\pi\) | ||||
0.257340 | + | 0.966321i | \(0.417154\pi\) | |||||||
\(692\) | 3266.54 | + | 7152.73i | 0.179444 | + | 0.392928i | ||||
\(693\) | 5339.20 | − | 1567.73i | 0.292669 | − | 0.0859353i | ||||
\(694\) | −4702.75 | + | 5427.27i | −0.257225 | + | 0.296853i | ||||
\(695\) | 7392.03 | + | 4750.57i | 0.403447 | + | 0.259280i | ||||
\(696\) | 8267.00 | + | 9540.63i | 0.450230 | + | 0.519593i | ||||
\(697\) | 727.387 | + | 5059.09i | 0.0395291 | + | 0.274931i | ||||
\(698\) | 7402.84 | + | 2173.67i | 0.401435 | + | 0.117872i | ||||
\(699\) | −6744.46 | + | 4334.40i | −0.364948 | + | 0.234538i | ||||
\(700\) | 1814.77 | − | 12622.0i | 0.0979881 | − | 0.681522i | ||||
\(701\) | 12168.4 | − | 26645.1i | 0.655628 | − | 1.43562i | −0.230913 | − | 0.972974i | \(-0.574171\pi\) |
0.886541 | − | 0.462651i | \(-0.153102\pi\) | |||||||
\(702\) | 1380.39 | − | 3022.64i | 0.0742160 | − | 0.162510i | ||||
\(703\) | −522.236 | + | 3632.23i | −0.0280178 | + | 0.194868i | ||||
\(704\) | 5560.33 | − | 3573.41i | 0.297675 | − | 0.191304i | ||||
\(705\) | −640.996 | − | 188.214i | −0.0342430 | − | 0.0100547i | ||||
\(706\) | −1369.19 | − | 9522.93i | −0.0729889 | − | 0.507649i | ||||
\(707\) | −18534.5 | − | 21389.9i | −0.985940 | − | 1.13784i | ||||
\(708\) | 5408.62 | + | 3475.91i | 0.287102 | + | 0.184509i | ||||
\(709\) | 9751.16 | − | 11253.4i | 0.516520 | − | 0.596095i | −0.436236 | − | 0.899832i | \(-0.643689\pi\) |
0.952756 | + | 0.303737i | \(0.0982343\pi\) | |||||||
\(710\) | −5676.00 | + | 1666.62i | −0.300023 | + | 0.0880947i | ||||
\(711\) | −2368.41 | − | 5186.08i | −0.124926 | − | 0.273549i | ||||
\(712\) | 28868.4 | 1.51951 | ||||||||
\(713\) | 13072.9 | − | 9928.49i | 0.686654 | − | 0.521494i | ||||
\(714\) | −1778.83 | −0.0932369 | ||||||||
\(715\) | 3832.61 | + | 8392.25i | 0.200464 | + | 0.438954i | ||||
\(716\) | −20061.7 | + | 5890.64i | −1.04712 | + | 0.307463i | ||||
\(717\) | −6945.84 | + | 8015.93i | −0.361781 | + | 0.417518i | ||||
\(718\) | −3252.69 | − | 2090.38i | −0.169066 | − | 0.108652i | ||||
\(719\) | −23194.8 | − | 26768.3i | −1.20309 | − | 1.38844i | −0.900236 | − | 0.435402i | \(-0.856606\pi\) |
−0.302853 | − | 0.953037i | \(-0.597939\pi\) | |||||||
\(720\) | −8.87346 | − | 61.7163i | −0.000459298 | − | 0.00319448i | ||||
\(721\) | 24368.1 | + | 7155.11i | 1.25869 | + | 0.369584i | ||||
\(722\) | −7607.80 | + | 4889.24i | −0.392151 | + | 0.252020i | ||||
\(723\) | −251.997 | + | 1752.68i | −0.0129625 | + | 0.0901559i | ||||
\(724\) | −338.507 | + | 741.226i | −0.0173764 | + | 0.0380490i | ||||
\(725\) | −6921.34 | + | 15155.6i | −0.354555 | + | 0.776366i | ||||
\(726\) | 637.232 | − | 4432.05i | 0.0325756 | − | 0.226568i | ||||
\(727\) | −19918.7 | + | 12800.9i | −1.01615 | + | 0.653041i | −0.938978 | − | 0.343977i | \(-0.888226\pi\) |
−0.0771735 | + | 0.997018i | \(0.524590\pi\) | |||||||
\(728\) | −43902.0 | − | 12890.8i | −2.23505 | − | 0.656271i | ||||
\(729\) | −103.748 | − | 721.580i | −0.00527092 | − | 0.0366601i | ||||
\(730\) | −6998.81 | − | 8077.06i | −0.354846 | − | 0.409514i | ||||
\(731\) | 2180.52 | + | 1401.33i | 0.110327 | + | 0.0709031i | ||||
\(732\) | −7326.32 | + | 8455.03i | −0.369930 | + | 0.426922i | ||||
\(733\) | −13486.1 | + | 3959.89i | −0.679566 | + | 0.199539i | −0.603259 | − | 0.797546i | \(-0.706131\pi\) |
−0.0763078 | + | 0.997084i | \(0.524313\pi\) | |||||||
\(734\) | 7443.35 | + | 16298.7i | 0.374304 | + | 0.819611i | ||||
\(735\) | 8518.21 | 0.427482 | ||||||||
\(736\) | 1293.18 | − | 20032.8i | 0.0647653 | − | 1.00329i | ||||
\(737\) | −13898.9 | −0.694671 | ||||||||
\(738\) | −2755.15 | − | 6032.94i | −0.137423 | − | 0.300915i | ||||
\(739\) | 5787.97 | − | 1699.50i | 0.288111 | − | 0.0845970i | −0.134484 | − | 0.990916i | \(-0.542938\pi\) |
0.422595 | + | 0.906319i | \(0.361119\pi\) | |||||||
\(740\) | −1786.54 | + | 2061.77i | −0.0887491 | + | 0.102422i | ||||
\(741\) | −7250.99 | − | 4659.93i | −0.359476 | − | 0.231021i | ||||
\(742\) | −5689.82 | − | 6566.40i | −0.281509 | − | 0.324879i | ||||
\(743\) | −3434.84 | − | 23889.8i | −0.169599 | − | 1.17959i | −0.879715 | − | 0.475501i | \(-0.842267\pi\) |
0.710116 | − | 0.704084i | \(-0.248642\pi\) | |||||||
\(744\) | −9638.22 | − | 2830.04i | −0.474939 | − | 0.139455i | ||||
\(745\) | −9423.33 | + | 6056.01i | −0.463415 | + | 0.297819i | ||||
\(746\) | 1434.72 | − | 9978.68i | 0.0704139 | − | 0.489739i | ||||
\(747\) | 2995.64 | − | 6559.54i | 0.146727 | − | 0.321287i | ||||
\(748\) | −539.972 | + | 1182.37i | −0.0263948 | + | 0.0577966i | ||||
\(749\) | −5713.08 | + | 39735.3i | −0.278707 | + | 1.93845i | ||||
\(750\) | −5600.32 | + | 3599.10i | −0.272659 | + | 0.175228i | ||||
\(751\) | 17187.8 | + | 5046.79i | 0.835141 | + | 0.245220i | 0.671224 | − | 0.741255i | \(-0.265769\pi\) |
0.163917 | + | 0.986474i | \(0.447587\pi\) | |||||||
\(752\) | −6.11287 | − | 42.5159i | −0.000296427 | − | 0.00206170i | ||||
\(753\) | −6543.48 | − | 7551.57i | −0.316677 | − | 0.365464i | ||||
\(754\) | 19364.1 | + | 12444.5i | 0.935276 | + | 0.601065i | ||||
\(755\) | −3042.90 | + | 3511.70i | −0.146679 | + | 0.169276i | ||||
\(756\) | −3708.35 | + | 1088.87i | −0.178401 | + | 0.0523833i | ||||
\(757\) | 7554.49 | + | 16542.0i | 0.362711 | + | 0.794227i | 0.999727 | + | 0.0233761i | \(0.00744153\pi\) |
−0.637015 | + | 0.770851i | \(0.719831\pi\) | |||||||
\(758\) | 15295.5 | 0.732924 | ||||||||
\(759\) | 5097.16 | + | 5026.94i | 0.243762 | + | 0.240404i | ||||
\(760\) | 5444.26 | 0.259847 | ||||||||
\(761\) | 4034.12 | + | 8833.49i | 0.192164 | + | 0.420780i | 0.981049 | − | 0.193761i | \(-0.0620686\pi\) |
−0.788885 | + | 0.614541i | \(0.789341\pi\) | |||||||
\(762\) | 6236.87 | − | 1831.31i | 0.296506 | − | 0.0870622i | ||||
\(763\) | −3448.31 | + | 3979.56i | −0.163614 | + | 0.188820i | ||||
\(764\) | −7210.36 | − | 4633.81i | −0.341442 | − | 0.219431i | ||||
\(765\) | −423.710 | − | 488.987i | −0.0200252 | − | 0.0231103i | ||||
\(766\) | 145.747 | + | 1013.69i | 0.00687473 | + | 0.0478148i | ||||
\(767\) | 29213.5 | + | 8577.85i | 1.37528 | + | 0.403818i | ||||
\(768\) | −10217.1 | + | 6566.10i | −0.480047 | + | 0.308507i | ||||
\(769\) | 979.252 | − | 6810.84i | 0.0459203 | − | 0.319383i | −0.953895 | − | 0.300142i | \(-0.902966\pi\) |
0.999815 | − | 0.0192409i | \(-0.00612493\pi\) | |||||||
\(770\) | −2662.29 | + | 5829.61i | −0.124601 | + | 0.272837i | ||||
\(771\) | 5716.35 | − | 12517.1i | 0.267016 | − | 0.584684i | ||||
\(772\) | 2472.55 | − | 17197.0i | 0.115271 | − | 0.801727i | ||||
\(773\) | −6689.27 | + | 4298.94i | −0.311250 | + | 0.200028i | −0.686935 | − | 0.726719i | \(-0.741044\pi\) |
0.375684 | + | 0.926748i | \(0.377408\pi\) | |||||||
\(774\) | −3227.17 | − | 947.582i | −0.149868 | − | 0.0440054i | ||||
\(775\) | −1886.75 | − | 13122.6i | −0.0874504 | − | 0.608231i | ||||
\(776\) | −20842.0 | − | 24053.0i | −0.964155 | − | 1.11269i | ||||
\(777\) | 6555.31 | + | 4212.84i | 0.302664 | + | 0.194511i | ||||
\(778\) | −12413.1 | + | 14325.4i | −0.572018 | + | 0.660144i | ||||
\(779\) | −16506.5 | + | 4846.73i | −0.759185 | + | 0.222917i | ||||
\(780\) | −2661.94 | − | 5828.84i | −0.122196 | − | 0.267572i | ||||
\(781\) | 12346.9 | 0.565693 | ||||||||
\(782\) | −1110.67 | − | 2000.92i | −0.0507896 | − | 0.0914997i | ||||
\(783\) | 5049.82 | 0.230480 | ||||||||
\(784\) | 227.516 | + | 498.190i | 0.0103642 | + | 0.0226945i | ||||
\(785\) | −4519.54 | + | 1327.06i | −0.205490 | + | 0.0603372i | ||||
\(786\) | 5431.71 | − | 6268.52i | 0.246492 | − | 0.284467i | ||||
\(787\) | 34649.7 | + | 22268.0i | 1.56941 | + | 1.00860i | 0.979575 | + | 0.201078i | \(0.0644445\pi\) |
0.589837 | + | 0.807522i | \(0.299192\pi\) | |||||||
\(788\) | 11841.9 | + | 13666.3i | 0.535343 | + | 0.617819i | ||||
\(789\) | −210.564 | − | 1464.51i | −0.00950099 | − | 0.0660809i | ||||
\(790\) | 6300.21 | + | 1849.91i | 0.283736 | + | 0.0833124i | ||||
\(791\) | 31133.0 | − | 20008.0i | 1.39945 | − | 0.899369i | ||||
\(792\) | 623.444 | − | 4336.14i | 0.0279711 | − | 0.194543i | ||||
\(793\) | −22009.0 | + | 48193.1i | −0.985578 | + | 2.15812i | ||||
\(794\) | −5748.84 | + | 12588.2i | −0.256951 | + | 0.562643i | ||||
\(795\) | 449.763 | − | 3128.17i | 0.0200647 | − | 0.139553i | ||||
\(796\) | 1731.32 | − | 1112.65i | 0.0770919 | − | 0.0495439i | ||||
\(797\) | 5339.35 | + | 1567.78i | 0.237302 | + | 0.0696781i | 0.398221 | − | 0.917289i | \(-0.369628\pi\) |
−0.160919 | + | 0.986968i | \(0.551446\pi\) | |||||||
\(798\) | −852.082 | − | 5926.36i | −0.0377987 | − | 0.262896i | ||||
\(799\) | −291.891 | − | 336.860i | −0.0129241 | − | 0.0149152i | ||||
\(800\) | −13638.8 | − | 8765.11i | −0.602754 | − | 0.387367i | ||||
\(801\) | 7562.21 | − | 8727.26i | 0.333580 | − | 0.384972i | ||||
\(802\) | 8999.32 | − | 2642.44i | 0.396231 | − | 0.116344i | ||||
\(803\) | 9266.48 | + | 20290.8i | 0.407232 | + | 0.891713i | ||||
\(804\) | 9653.49 | 0.423448 | ||||||||
\(805\) | 9169.10 | + | 16518.5i | 0.401451 | + | 0.723231i | ||||
\(806\) | −18315.8 | −0.800430 | ||||||||
\(807\) | −7476.54 | − | 16371.3i | −0.326130 | − | 0.714125i | ||||
\(808\) | −21378.9 | + | 6277.41i | −0.930825 | + | 0.273315i | ||||
\(809\) | 12429.3 | − | 14344.2i | 0.540163 | − | 0.623382i | −0.418399 | − | 0.908263i | \(-0.637409\pi\) |
0.958563 | + | 0.284881i | \(0.0919542\pi\) | |||||||
\(810\) | 706.307 | + | 453.916i | 0.0306384 | + | 0.0196901i | ||||
\(811\) | −4583.87 | − | 5290.07i | −0.198473 | − | 0.229050i | 0.647785 | − | 0.761823i | \(-0.275695\pi\) |
−0.846258 | + | 0.532773i | \(0.821150\pi\) | |||||||
\(812\) | −3810.11 | − | 26499.9i | −0.164666 | − | 1.14528i | ||||
\(813\) | −6194.12 | − | 1818.76i | −0.267205 | − | 0.0784583i | ||||
\(814\) | −2860.82 | + | 1838.54i | −0.123184 | + | 0.0791655i | ||||
\(815\) | −1155.82 | + | 8038.89i | −0.0496767 | + | 0.345509i | ||||
\(816\) | 17.2815 | − | 37.8413i | 0.000741391 | − | 0.00162342i | ||||
\(817\) | −3624.19 | + | 7935.88i | −0.155195 | + | 0.339830i | ||||
\(818\) | −2797.24 | + | 19455.2i | −0.119564 | + | 0.831584i | ||||
\(819\) | −15397.4 | + | 9895.30i | −0.656933 | + | 0.422185i | ||||
\(820\) | −12271.6 | − | 3603.26i | −0.522612 | − | 0.153453i | ||||
\(821\) | −3309.09 | − | 23015.3i | −0.140668 | − | 0.978365i | −0.930826 | − | 0.365463i | \(-0.880911\pi\) |
0.790158 | − | 0.612903i | \(-0.209998\pi\) | |||||||
\(822\) | 7110.11 | + | 8205.51i | 0.301695 | + | 0.348175i | ||||
\(823\) | −9707.33 | − | 6238.52i | −0.411150 | − | 0.264230i | 0.318675 | − | 0.947864i | \(-0.396762\pi\) |
−0.729825 | + | 0.683634i | \(0.760398\pi\) | |||||||
\(824\) | 13093.1 | − | 15110.2i | 0.553541 | − | 0.638821i | ||||
\(825\) | 5547.51 | − | 1628.89i | 0.234108 | − | 0.0687404i | ||||
\(826\) | 8785.87 | + | 19238.4i | 0.370096 | + | 0.810397i | ||||
\(827\) | 35760.3 | 1.50364 | 0.751818 | − | 0.659370i | \(-0.229177\pi\) | ||||
0.751818 | + | 0.659370i | \(0.229177\pi\) | |||||||
\(828\) | −3540.24 | − | 3491.46i | −0.148589 | − | 0.146542i | ||||
\(829\) | 14574.6 | 0.610611 | 0.305306 | − | 0.952254i | \(-0.401241\pi\) | ||||
0.305306 | + | 0.952254i | \(0.401241\pi\) | |||||||
\(830\) | 3450.08 | + | 7554.62i | 0.144282 | + | 0.315933i | ||||
\(831\) | −5560.37 | + | 1632.67i | −0.232114 | + | 0.0681549i | ||||
\(832\) | −14236.7 | + | 16430.0i | −0.593230 | + | 0.684624i | ||||
\(833\) | 4781.16 | + | 3072.66i | 0.198868 | + | 0.127805i | ||||
\(834\) | −4981.85 | − | 5749.36i | −0.206843 | − | 0.238710i | ||||
\(835\) | −1709.10 | − | 11887.1i | −0.0708334 | − | 0.492657i | ||||
\(836\) | −4197.85 | − | 1232.60i | −0.173667 | − | 0.0509933i | ||||
\(837\) | −3380.33 | + | 2172.41i | −0.139595 | + | 0.0897125i | ||||
\(838\) | −3099.42 | + | 21556.9i | −0.127766 | + | 0.888629i | ||||
\(839\) | 7114.23 | − | 15578.0i | 0.292742 | − | 0.641016i | −0.704925 | − | 0.709282i | \(-0.749019\pi\) |
0.997667 | + | 0.0682660i | \(0.0217466\pi\) | |||||||
\(840\) | 4802.54 | − | 10516.1i | 0.197266 | − | 0.431952i | ||||
\(841\) | −1507.31 | + | 10483.6i | −0.0618030 | + | 0.429849i | ||||
\(842\) | −14875.0 | + | 9559.57i | −0.608819 | + | 0.391264i | ||||
\(843\) | 25447.0 | + | 7471.92i | 1.03967 | + | 0.305275i | ||||
\(844\) | 2674.08 | + | 18598.6i | 0.109059 | + | 0.758521i | ||||
\(845\) | −11249.9 | − | 12983.0i | −0.457996 | − | 0.528556i | ||||
\(846\) | 486.570 | + | 312.700i | 0.0197738 | + | 0.0127079i | ||||
\(847\) | −16150.8 | + | 18639.1i | −0.655194 | + | 0.756135i | ||||
\(848\) | 194.965 | − | 57.2469i | 0.00789519 | − | 0.00231824i | ||||
\(849\) | −1135.94 | − | 2487.35i | −0.0459190 | − | 0.100549i | ||||
\(850\) | −1848.23 | −0.0745810 | ||||||||
\(851\) | −645.801 | + | 10004.2i | −0.0260138 | + | 0.402983i | ||||
\(852\) | −8575.54 | −0.344828 | ||||||||
\(853\) | −6026.43 | − | 13196.0i | −0.241900 | − | 0.529688i | 0.749273 | − | 0.662262i | \(-0.230403\pi\) |
−0.991173 | + | 0.132574i | \(0.957676\pi\) | |||||||
\(854\) | −35312.0 | + | 10368.5i | −1.41493 | + | 0.415461i | ||||
\(855\) | 1426.15 | − | 1645.86i | 0.0570448 | − | 0.0658332i | ||||
\(856\) | 26586.4 | + | 17086.0i | 1.06157 | + | 0.682230i | ||||
\(857\) | 29348.9 | + | 33870.5i | 1.16983 | + | 1.35005i | 0.924763 | + | 0.380543i | \(0.124263\pi\) |
0.245062 | + | 0.969507i | \(0.421192\pi\) | |||||||
\(858\) | −1136.76 | − | 7906.32i | −0.0452311 | − | 0.314589i | ||||
\(859\) | 18445.1 | + | 5415.97i | 0.732641 | + | 0.215123i | 0.626712 | − | 0.779251i | \(-0.284400\pi\) |
0.105929 | + | 0.994374i | \(0.466218\pi\) | |||||||
\(860\) | −5456.35 | + | 3506.58i | −0.216349 | + | 0.139039i | ||||
\(861\) | −5198.91 | + | 36159.2i | −0.205782 | + | 1.43125i | ||||
\(862\) | 5639.85 | − | 12349.5i | 0.222847 | − | 0.487966i | ||||
\(863\) | 1512.56 | − | 3312.04i | 0.0596616 | − | 0.130641i | −0.877453 | − | 0.479663i | \(-0.840759\pi\) |
0.937114 | + | 0.349022i | \(0.113486\pi\) | |||||||
\(864\) | −699.305 | + | 4863.77i | −0.0275357 | + | 0.191515i | ||||
\(865\) | −7915.17 | + | 5086.77i | −0.311126 | + | 0.199949i | ||||
\(866\) | 1634.62 | + | 479.968i | 0.0641416 | + | 0.0188337i | ||||
\(867\) | 2036.14 | + | 14161.7i | 0.0797589 | + | 0.554736i | ||||
\(868\) | 13950.6 | + | 16099.8i | 0.545522 | + | 0.629566i | ||||
\(869\) | −11529.1 | − | 7409.33i | −0.450057 | − | 0.289234i | ||||
\(870\) | −3808.59 | + | 4395.35i | −0.148418 | + | 0.171283i | ||||
\(871\) | 43864.0 | − | 12879.6i | 1.70640 | − | 0.501044i | ||||
\(872\) | 1722.07 | + | 3770.82i | 0.0668770 | + | 0.146440i | ||||
\(873\) | −12731.2 | −0.493567 | ||||||||
\(874\) | 6134.25 | − | 4658.78i | 0.237407 | − | 0.180304i | ||||
\(875\) | 36667.8 | 1.41668 | ||||||||
\(876\) | −6436.04 | − | 14093.0i | −0.248235 | − | 0.543558i | ||||
\(877\) | 29026.1 | − | 8522.82i | 1.11761 | − | 0.328159i | 0.329781 | − | 0.944057i | \(-0.393025\pi\) |
0.787825 | + | 0.615899i | \(0.211207\pi\) | |||||||
\(878\) | 4677.78 | − | 5398.44i | 0.179803 | − | 0.207504i | ||||
\(879\) | −806.936 | − | 518.586i | −0.0309639 | − | 0.0198993i | ||||
\(880\) | −98.1495 | − | 113.271i | −0.00375980 | − | 0.00433903i | ||||
\(881\) | 331.861 | + | 2308.15i | 0.0126909 | + | 0.0882673i | 0.995183 | − | 0.0980397i | \(-0.0312572\pi\) |
−0.982492 | + | 0.186307i | \(0.940348\pi\) | |||||||
\(882\) | −7076.12 | − | 2077.74i | −0.270142 | − | 0.0793209i | ||||
\(883\) | 29350.6 | − | 18862.5i | 1.11860 | − | 0.718882i | 0.155452 | − | 0.987844i | \(-0.450317\pi\) |
0.963151 | + | 0.268961i | \(0.0866804\pi\) | |||||||
\(884\) | 608.449 | − | 4231.86i | 0.0231497 | − | 0.161010i | ||||
\(885\) | −3195.72 | + | 6997.66i | −0.121382 | + | 0.265789i | ||||
\(886\) | 9978.39 | − | 21849.6i | 0.378364 | − | 0.828502i | ||||
\(887\) | −2805.33 | + | 19511.5i | −0.106194 | + | 0.738594i | 0.865253 | + | 0.501336i | \(0.167158\pi\) |
−0.971447 | + | 0.237258i | \(0.923751\pi\) | |||||||
\(888\) | 5160.66 | − | 3316.56i | 0.195023 | − | 0.125334i | ||||
\(889\) | −34353.1 | − | 10087.0i | −1.29602 | − | 0.380547i | ||||
\(890\) | 1892.73 | + | 13164.2i | 0.0712860 | + | 0.495805i | ||||
\(891\) | −1147.55 | − | 1324.35i | −0.0431476 | − | 0.0497950i | ||||
\(892\) | 2886.27 | + | 1854.89i | 0.108340 | + | 0.0696259i | ||||
\(893\) | 982.465 | − | 1133.82i | 0.0368163 | − | 0.0424882i | ||||
\(894\) | 9305.17 | − | 2732.25i | 0.348111 | − | 0.102215i | ||||
\(895\) | −10392.9 | − | 22757.2i | −0.388151 | − | 0.849931i | ||||
\(896\) | 26508.3 | 0.988371 | ||||||||
\(897\) | −20744.6 | − | 11141.3i | −0.772175 | − | 0.414713i | ||||
\(898\) | −8973.36 | −0.333458 | ||||||||
\(899\) | −11562.8 | − | 25319.0i | −0.428967 | − | 0.939306i | ||||
\(900\) | −3853.02 | + | 1131.35i | −0.142705 | + | 0.0419018i | ||||
\(901\) | 1380.83 | − | 1593.56i | 0.0510568 | − | 0.0589227i | ||||
\(902\) | −13411.8 | − | 8619.23i | −0.495081 | − | 0.318169i | ||||
\(903\) | 12131.9 | + | 14000.9i | 0.447091 | + | 0.515971i | ||||
\(904\) | −4146.26 | − | 28837.9i | −0.152547 | − | 1.06099i | ||||
\(905\) | −935.522 | − | 274.694i | −0.0343622 | − | 0.0100897i | ||||
\(906\) | 3384.32 | − | 2174.97i | 0.124102 | − | 0.0797555i | ||||
\(907\) | 476.115 | − | 3311.45i | 0.0174302 | − | 0.121229i | −0.979249 | − | 0.202662i | \(-0.935041\pi\) |
0.996679 | + | 0.0814331i | \(0.0259497\pi\) | |||||||
\(908\) | −5206.80 | + | 11401.3i | −0.190301 | + | 0.416702i | ||||
\(909\) | −3702.56 | + | 8107.48i | −0.135100 | + | 0.295829i | ||||
\(910\) | 2999.92 | − | 20864.9i | 0.109282 | − | 0.760071i | ||||
\(911\) | 21037.1 | − | 13519.8i | 0.765084 | − | 0.491690i | −0.0989689 | − | 0.995091i | \(-0.531554\pi\) |
0.864053 | + | 0.503401i | \(0.167918\pi\) | |||||||
\(912\) | 134.350 | + | 39.4488i | 0.00487805 | + | 0.00143233i | ||||
\(913\) | −2466.92 | − | 17157.8i | −0.0894228 | − | 0.621949i | ||||
\(914\) | 13436.8 | + | 15506.9i | 0.486268 | + | 0.561183i | ||||
\(915\) | −11261.4 | − | 7237.25i | −0.406874 | − | 0.261482i | ||||
\(916\) | −18374.9 | + | 21205.8i | −0.662800 | + | 0.764911i | ||||
\(917\) | −43835.7 | + | 12871.3i | −1.57861 | + | 0.463521i | ||||
\(918\) | 232.706 | + | 509.554i | 0.00836648 | + | 0.0183200i | ||||
\(919\) | −34423.8 | −1.23562 | −0.617811 | − | 0.786327i | \(-0.711980\pi\) | ||||
−0.617811 | + | 0.786327i | \(0.711980\pi\) | |||||||
\(920\) | 14827.6 | − | 1163.92i | 0.531362 | − | 0.0417101i | ||||
\(921\) | 13179.5 | 0.471530 | ||||||||
\(922\) | −6091.39 | − | 13338.3i | −0.217581 | − | 0.476435i | ||||
\(923\) | −38965.9 | + | 11441.4i | −1.38958 | + | 0.408016i | ||||
\(924\) | −6083.93 | + | 7021.22i | −0.216609 | + | 0.249980i | ||||
\(925\) | 6811.05 | + | 4377.20i | 0.242104 | + | 0.155591i | ||||
\(926\) | −3826.54 | − | 4416.06i | −0.135797 | − | 0.156718i | ||||
\(927\) | −1138.20 | − | 7916.37i | −0.0403273 | − | 0.280483i | ||||
\(928\) | −32659.3 | − | 9589.64i | −1.15527 | − | 0.339219i | ||||
\(929\) | 56.1010 | − | 36.0539i | 0.00198129 | − | 0.00127330i | −0.539650 | − | 0.841890i | \(-0.681443\pi\) |
0.541631 | + | 0.840616i | \(0.317807\pi\) | |||||||
\(930\) | 658.600 | − | 4580.66i | 0.0232219 | − | 0.161512i | ||||
\(931\) | −7946.66 | + | 17400.8i | −0.279744 | + | 0.612553i | ||||
\(932\) | 5560.36 | − | 12175.5i | 0.195424 | − | 0.427920i | ||||
\(933\) | 2422.40 | − | 16848.1i | 0.0850007 | − | 0.591193i | ||||
\(934\) | −10602.0 | + | 6813.50i | −0.371422 | + | 0.238699i | ||||
\(935\) | −1492.31 | − | 438.181i | −0.0521964 | − | 0.0153262i | ||||
\(936\) | 2050.61 | + | 14262.3i | 0.0716092 | + | 0.498053i | ||||
\(937\) | −4165.76 | − | 4807.54i | −0.145239 | − | 0.167615i | 0.678469 | − | 0.734629i | \(-0.262644\pi\) |
−0.823708 | + | 0.567014i | \(0.808098\pi\) | |||||||
\(938\) | 26714.9 | + | 17168.6i | 0.929929 | + | 0.597629i | ||||
\(939\) | −20452.2 | + | 23603.1i | −0.710791 | + | 0.820296i | ||||
\(940\) | 1070.18 | − | 314.233i | 0.0371334 | − | 0.0109033i | ||||
\(941\) | −13677.6 | − | 29949.9i | −0.473835 | − | 1.03755i | −0.984113 | − | 0.177544i | \(-0.943185\pi\) |
0.510278 | − | 0.860009i | \(-0.329542\pi\) | |||||||
\(942\) | 4078.10 | 0.141053 | ||||||||
\(943\) | −43919.8 | + | 16729.2i | −1.51668 | + | 0.577705i | ||||
\(944\) | −494.616 | −0.0170534 | ||||||||
\(945\) | −1921.09 | − | 4206.60i | −0.0661303 | − | 0.144805i | ||||
\(946\) | −7757.44 | + | 2277.79i | −0.266613 | + | 0.0782847i | ||||
\(947\) | −473.624 | + | 546.591i | −0.0162521 | + | 0.0187559i | −0.763817 | − | 0.645432i | \(-0.776677\pi\) |
0.747565 | + | 0.664188i | \(0.231223\pi\) | |||||||
\(948\) | 8007.58 | + | 5146.16i | 0.274340 | + | 0.176307i | ||||
\(949\) | −48047.1 | − | 55449.3i | −1.64349 | − | 1.89669i | ||||
\(950\) | −885.326 | − | 6157.57i | −0.0302355 | − | 0.210293i | ||||
\(951\) | 22307.6 | + | 6550.11i | 0.760646 | + | 0.223346i | ||||
\(952\) | 6488.93 | − | 4170.18i | 0.220911 | − | 0.141971i | ||||
\(953\) | 238.277 | − | 1657.25i | 0.00809920 | − | 0.0563311i | −0.985371 | − | 0.170423i | \(-0.945487\pi\) |
0.993470 | + | 0.114092i | \(0.0363958\pi\) | |||||||
\(954\) | −1136.64 | + | 2488.88i | −0.0385743 | + | 0.0844660i | ||||
\(955\) | 4260.29 | − | 9328.74i | 0.144356 | − | 0.316095i | ||||
\(956\) | 2520.15 | − | 17528.0i | 0.0852589 | − | 0.592989i | ||||
\(957\) | 10211.7 | − | 6562.68i | 0.344931 | − | 0.221673i | ||||
\(958\) | 26445.0 | + | 7764.96i | 0.891858 | + | 0.261873i | ||||
\(959\) | −8510.92 | − | 59194.8i | −0.286582 | − | 1.99322i | ||||
\(960\) | −3597.11 | − | 4151.29i | −0.120934 | − | 0.139565i | ||||
\(961\) | −6429.61 | − | 4132.06i | −0.215824 | − | 0.138702i | ||||
\(962\) | 7324.84 | − | 8453.32i | 0.245491 | − | 0.283312i | ||||
\(963\) | 12129.7 | − | 3561.61i | 0.405893 | − | 0.119181i | ||||
\(964\) | −1228.08 | − | 2689.12i | −0.0410310 | − | 0.0898453i | ||||
\(965\) | 20788.5 | 0.693477 | ||||||||
\(966\) | −3587.67 | − | 15958.5i | −0.119494 | − | 0.531529i | ||||
\(967\) | −1570.35 | −0.0522225 | −0.0261113 | − | 0.999659i | \(-0.508312\pi\) | ||||
−0.0261113 | + | 0.999659i | \(0.508312\pi\) | |||||||
\(968\) | 8065.68 | + | 17661.4i | 0.267811 | + | 0.586424i | ||||
\(969\) | 1394.17 | − | 409.365i | 0.0462200 | − | 0.0135714i | ||||
\(970\) | 9601.87 | − | 11081.2i | 0.317833 | − | 0.366798i | ||||
\(971\) | 3078.53 | + | 1978.45i | 0.101745 | + | 0.0653877i | 0.590524 | − | 0.807020i | \(-0.298921\pi\) |
−0.488779 | + | 0.872408i | \(0.662557\pi\) | |||||||
\(972\) | 797.034 | + | 919.826i | 0.0263013 | + | 0.0303533i | ||||
\(973\) | 5963.36 | + | 41476.1i | 0.196482 | + | 1.36656i | ||||
\(974\) | −3550.77 | − | 1042.60i | −0.116811 | − | 0.0342988i | ||||
\(975\) | −15998.1 | + | 10281.4i | −0.525486 | + | 0.337710i | ||||
\(976\) | 122.489 | − | 851.927i | 0.00401718 | − | 0.0279401i | ||||
\(977\) | 12725.0 | − | 27863.8i | 0.416692 | − | 0.912428i | −0.578610 | − | 0.815605i | \(-0.696405\pi\) |
0.995302 | − | 0.0968233i | \(-0.0308682\pi\) | |||||||
\(978\) | 2920.97 | − | 6396.02i | 0.0955033 | − | 0.209123i | ||||
\(979\) | 3950.45 | − | 27476.0i | 0.128965 | − | 0.896972i | ||||
\(980\) | −11964.0 | + | 7688.79i | −0.389975 | + | 0.250622i | ||||
\(981\) | 1591.07 | + | 467.179i | 0.0517827 | + | 0.0152048i | ||||
\(982\) | 594.905 | + | 4137.66i | 0.0193322 | + | 0.134458i | ||||
\(983\) | 8659.28 | + | 9993.34i | 0.280965 | + | 0.324250i | 0.878637 | − | 0.477490i | \(-0.158453\pi\) |
−0.597673 | + | 0.801740i | \(0.703908\pi\) | |||||||
\(984\) | 24193.6 | + | 15548.3i | 0.783806 | + | 0.503722i | ||||
\(985\) | −14169.3 | + | 16352.3i | −0.458347 | + | 0.528961i | ||||
\(986\) | −3723.19 | + | 1093.23i | −0.120254 | + | 0.0353098i | ||||
\(987\) | −1323.43 | − | 2897.90i | −0.0426800 | − | 0.0934561i | ||||
\(988\) | 14390.3 | 0.463378 | ||||||||
\(989\) | −8174.03 | + | 22388.5i | −0.262810 | + | 0.719830i | ||||
\(990\) | 2018.20 | 0.0647904 | ||||||||
\(991\) | −3145.68 | − | 6888.07i | −0.100833 | − | 0.220794i | 0.852491 | − | 0.522741i | \(-0.175091\pi\) |
−0.953325 | + | 0.301947i | \(0.902363\pi\) | |||||||
\(992\) | 25987.4 | − | 7630.59i | 0.831755 | − | 0.244225i | ||||
\(993\) | 18330.1 | − | 21154.0i | 0.585787 | − | 0.676035i | ||||
\(994\) | −23731.8 | − | 15251.5i | −0.757271 | − | 0.486669i | ||||
\(995\) | 1612.60 | + | 1861.04i | 0.0513799 | + | 0.0592955i | ||||
\(996\) | 1713.40 | + | 11916.9i | 0.0545091 | + | 0.379119i | ||||
\(997\) | −36689.1 | − | 10772.9i | −1.16545 | − | 0.342208i | −0.358903 | − | 0.933375i | \(-0.616849\pi\) |
−0.806549 | + | 0.591167i | \(0.798667\pi\) | |||||||
\(998\) | 9933.37 | − | 6383.79i | 0.315065 | − | 0.202480i | ||||
\(999\) | 349.225 | − | 2428.92i | 0.0110601 | − | 0.0769244i |
(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 | 69.4.e.a.4.5 | ✓ | 60 | |
3.2 | odd | 2 | 207.4.i.c.73.2 | 60 | |||
23.6 | even | 11 | inner | 69.4.e.a.52.5 | yes | 60 | |
23.11 | odd | 22 | 1587.4.a.u.1.19 | 30 | |||
23.12 | even | 11 | 1587.4.a.t.1.19 | 30 | |||
69.29 | odd | 22 | 207.4.i.c.190.2 | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.4.e.a.4.5 | ✓ | 60 | 1.1 | even | 1 | trivial | |
69.4.e.a.52.5 | yes | 60 | 23.6 | even | 11 | inner | |
207.4.i.c.73.2 | 60 | 3.2 | odd | 2 | |||
207.4.i.c.190.2 | 60 | 69.29 | odd | 22 | |||
1587.4.a.t.1.19 | 30 | 23.12 | even | 11 | |||
1587.4.a.u.1.19 | 30 | 23.11 | odd | 22 |