Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,4,Mod(2,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.f (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.94706303019\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 2.1 | ||
Character | \(\chi\) | \(=\) | 33.2 |
Dual form | 33.4.f.a.17.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.66959 | + | 5.13848i | −0.590290 | + | 1.81673i | −0.0133905 | + | 0.999910i | \(0.504262\pi\) |
−0.576899 | + | 0.816815i | \(0.695738\pi\) | |||||||
\(3\) | −2.33142 | − | 4.64375i | −0.448683 | − | 0.893691i | ||||
\(4\) | −17.1443 | − | 12.4560i | −2.14303 | − | 1.55700i | ||||
\(5\) | −7.03009 | + | 2.28422i | −0.628791 | + | 0.204306i | −0.606039 | − | 0.795435i | \(-0.707243\pi\) |
−0.0227514 | + | 0.999741i | \(0.507243\pi\) | |||||||
\(6\) | 27.7543 | − | 4.22679i | 1.88844 | − | 0.287597i | ||||
\(7\) | −8.32735 | + | 11.4616i | −0.449635 | + | 0.618869i | −0.972319 | − | 0.233657i | \(-0.924931\pi\) |
0.522684 | + | 0.852526i | \(0.324931\pi\) | |||||||
\(8\) | 57.6606 | − | 41.8928i | 2.54826 | − | 1.85142i | ||||
\(9\) | −16.1289 | + | 21.6531i | −0.597367 | + | 0.801968i | ||||
\(10\) | − | 39.9377i | − | 1.26294i | ||||||
\(11\) | −36.4645 | − | 1.15635i | −0.999498 | − | 0.0316957i | ||||
\(12\) | −17.8722 | + | 108.654i | −0.429939 | + | 2.61381i | ||||
\(13\) | −5.34137 | − | 1.73552i | −0.113956 | − | 0.0370266i | 0.251484 | − | 0.967861i | \(-0.419081\pi\) |
−0.365440 | + | 0.930835i | \(0.619081\pi\) | |||||||
\(14\) | −44.9919 | − | 61.9261i | −0.858900 | − | 1.18217i | ||||
\(15\) | 26.9975 | + | 27.3206i | 0.464715 | + | 0.470276i | ||||
\(16\) | 66.6076 | + | 204.997i | 1.04074 | + | 3.20308i | ||||
\(17\) | 16.4930 | + | 50.7604i | 0.235303 | + | 0.724188i | 0.997081 | + | 0.0763501i | \(0.0243267\pi\) |
−0.761778 | + | 0.647838i | \(0.775673\pi\) | |||||||
\(18\) | −84.3354 | − | 119.030i | −1.10434 | − | 1.55865i | ||||
\(19\) | −20.6772 | − | 28.4597i | −0.249667 | − | 0.343638i | 0.665727 | − | 0.746195i | \(-0.268121\pi\) |
−0.915395 | + | 0.402557i | \(0.868121\pi\) | |||||||
\(20\) | 148.978 | + | 48.4059i | 1.66563 | + | 0.541194i | ||||
\(21\) | 72.6395 | + | 11.9483i | 0.754821 | + | 0.124158i | ||||
\(22\) | 66.8228 | − | 185.442i | 0.647576 | − | 1.79710i | ||||
\(23\) | − | 64.1041i | − | 0.581158i | −0.956851 | − | 0.290579i | \(-0.906152\pi\) | ||
0.956851 | − | 0.290579i | \(-0.0938479\pi\) | |||||||
\(24\) | −328.971 | − | 170.091i | −2.79796 | − | 1.44666i | ||||
\(25\) | −56.9225 | + | 41.3566i | −0.455380 | + | 0.330853i | ||||
\(26\) | 17.8358 | − | 24.5489i | 0.134534 | − | 0.185171i | ||||
\(27\) | 138.155 | + | 24.4161i | 0.984740 | + | 0.174032i | ||||
\(28\) | 285.532 | − | 92.7751i | 1.92716 | − | 0.626173i | ||||
\(29\) | 113.943 | + | 82.7846i | 0.729612 | + | 0.530094i | 0.889441 | − | 0.457051i | \(-0.151094\pi\) |
−0.159829 | + | 0.987145i | \(0.551094\pi\) | |||||||
\(30\) | −185.461 | + | 93.1117i | −1.12868 | + | 0.566660i | ||||
\(31\) | −9.10973 | + | 28.0369i | −0.0527792 | + | 0.162438i | −0.973972 | − | 0.226669i | \(-0.927216\pi\) |
0.921193 | + | 0.389107i | \(0.127216\pi\) | |||||||
\(32\) | −594.401 | −3.28363 | ||||||||
\(33\) | 79.6445 | + | 172.028i | 0.420131 | + | 0.907463i | ||||
\(34\) | −288.368 | −1.45455 | ||||||||
\(35\) | 32.3612 | − | 99.5977i | 0.156287 | − | 0.481002i | ||||
\(36\) | 546.230 | − | 170.325i | 2.52884 | − | 0.788540i | ||||
\(37\) | −171.547 | − | 124.636i | −0.762219 | − | 0.553784i | 0.137371 | − | 0.990520i | \(-0.456135\pi\) |
−0.899590 | + | 0.436735i | \(0.856135\pi\) | |||||||
\(38\) | 180.762 | − | 58.7332i | 0.771671 | − | 0.250731i | ||||
\(39\) | 4.39369 | + | 28.8502i | 0.0180398 | + | 0.118455i | ||||
\(40\) | −309.667 | + | 426.220i | −1.22407 | + | 1.68478i | ||||
\(41\) | −213.034 | + | 154.778i | −0.811470 | + | 0.589567i | −0.914256 | − | 0.405136i | \(-0.867224\pi\) |
0.102787 | + | 0.994703i | \(0.467224\pi\) | |||||||
\(42\) | −182.674 | + | 353.308i | −0.671125 | + | 1.29801i | ||||
\(43\) | − | 385.784i | − | 1.36817i | −0.729400 | − | 0.684087i | \(-0.760201\pi\) | ||
0.729400 | − | 0.684087i | \(-0.239799\pi\) | |||||||
\(44\) | 610.754 | + | 474.028i | 2.09261 | + | 1.62415i | ||||
\(45\) | 63.9274 | − | 189.065i | 0.211772 | − | 0.626316i | ||||
\(46\) | 329.397 | + | 107.028i | 1.05580 | + | 0.343052i | ||||
\(47\) | −133.977 | − | 184.403i | −0.415799 | − | 0.572298i | 0.548822 | − | 0.835939i | \(-0.315076\pi\) |
−0.964621 | + | 0.263642i | \(0.915076\pi\) | |||||||
\(48\) | 796.665 | − | 787.244i | 2.39560 | − | 2.36727i | ||||
\(49\) | 43.9690 | + | 135.323i | 0.128190 | + | 0.394527i | ||||
\(50\) | −117.473 | − | 361.544i | −0.332263 | − | 1.02260i | ||||
\(51\) | 197.266 | − | 194.934i | 0.541624 | − | 0.535219i | ||||
\(52\) | 69.9562 | + | 96.2864i | 0.186561 | + | 0.256779i | ||||
\(53\) | −185.646 | − | 60.3200i | −0.481140 | − | 0.156332i | 0.0583976 | − | 0.998293i | \(-0.481401\pi\) |
−0.539537 | + | 0.841962i | \(0.681401\pi\) | |||||||
\(54\) | −356.124 | + | 669.142i | −0.897451 | + | 1.68627i | ||||
\(55\) | 258.991 | − | 75.1637i | 0.634950 | − | 0.184274i | ||||
\(56\) | 1009.74i | 2.40950i | ||||||||
\(57\) | −83.9527 | + | 162.372i | −0.195084 | + | 0.377310i | ||||
\(58\) | −615.626 | + | 447.278i | −1.39372 | + | 1.01259i | ||||
\(59\) | −277.075 | + | 381.361i | −0.611391 | + | 0.841508i | −0.996691 | − | 0.0812837i | \(-0.974098\pi\) |
0.385300 | + | 0.922791i | \(0.374098\pi\) | |||||||
\(60\) | −122.546 | − | 804.672i | −0.263677 | − | 1.73138i | ||||
\(61\) | −616.976 | + | 200.468i | −1.29501 | + | 0.420775i | −0.873843 | − | 0.486208i | \(-0.838380\pi\) |
−0.421168 | + | 0.906982i | \(0.638380\pi\) | |||||||
\(62\) | −128.857 | − | 93.6203i | −0.263950 | − | 0.191771i | ||||
\(63\) | −113.869 | − | 365.177i | −0.227716 | − | 0.730284i | ||||
\(64\) | 459.546 | − | 1414.34i | 0.897551 | − | 2.76238i | ||||
\(65\) | 41.5146 | 0.0792193 | ||||||||
\(66\) | −1016.94 | + | 122.034i | −1.89661 | + | 0.227597i | ||||
\(67\) | 823.618 | 1.50181 | 0.750903 | − | 0.660413i | \(-0.229619\pi\) | ||||
0.750903 | + | 0.660413i | \(0.229619\pi\) | |||||||
\(68\) | 349.512 | − | 1075.69i | 0.623302 | − | 1.91833i | ||||
\(69\) | −297.684 | + | 149.454i | −0.519376 | + | 0.260756i | ||||
\(70\) | 457.750 | + | 332.575i | 0.781594 | + | 0.567862i | ||||
\(71\) | −605.059 | + | 196.596i | −1.01137 | + | 0.328614i | −0.767400 | − | 0.641169i | \(-0.778450\pi\) |
−0.243970 | + | 0.969783i | \(0.578450\pi\) | |||||||
\(72\) | −22.8909 | + | 1924.22i | −0.0374684 | + | 3.14960i | ||||
\(73\) | 110.486 | − | 152.072i | 0.177143 | − | 0.243817i | −0.711208 | − | 0.702982i | \(-0.751851\pi\) |
0.888351 | + | 0.459165i | \(0.151851\pi\) | |||||||
\(74\) | 926.852 | − | 673.397i | 1.45600 | − | 1.05785i | ||||
\(75\) | 324.761 | + | 167.914i | 0.500002 | + | 0.258521i | ||||
\(76\) | 745.477i | 1.12516i | ||||||||
\(77\) | 316.907 | − | 408.313i | 0.469024 | − | 0.604307i | ||||
\(78\) | −155.582 | − | 25.5913i | −0.225849 | − | 0.0371492i | ||||
\(79\) | 816.099 | + | 265.167i | 1.16226 | + | 0.377640i | 0.825748 | − | 0.564040i | \(-0.190753\pi\) |
0.336510 | + | 0.941680i | \(0.390753\pi\) | |||||||
\(80\) | −936.515 | − | 1289.00i | −1.30882 | − | 1.80144i | ||||
\(81\) | −208.716 | − | 698.483i | −0.286305 | − | 0.958139i | ||||
\(82\) | −439.644 | − | 1353.08i | −0.592079 | − | 1.82223i | ||||
\(83\) | 67.7064 | + | 208.379i | 0.0895391 | + | 0.275573i | 0.985792 | − | 0.167970i | \(-0.0537212\pi\) |
−0.896253 | + | 0.443543i | \(0.853721\pi\) | |||||||
\(84\) | −1096.52 | − | 1109.64i | −1.42429 | − | 1.44134i | ||||
\(85\) | −231.895 | − | 319.177i | −0.295913 | − | 0.407289i | ||||
\(86\) | 1982.34 | + | 644.102i | 2.48560 | + | 0.807620i | ||||
\(87\) | 118.781 | − | 722.131i | 0.146376 | − | 0.889891i | ||||
\(88\) | −2151.01 | + | 1460.93i | −2.60566 | + | 1.76972i | ||||
\(89\) | 217.549i | 0.259103i | 0.991573 | + | 0.129552i | \(0.0413538\pi\) | ||||
−0.991573 | + | 0.129552i | \(0.958646\pi\) | |||||||
\(90\) | 864.776 | + | 644.151i | 1.01284 | + | 0.754439i | ||||
\(91\) | 64.3713 | − | 46.7685i | 0.0741532 | − | 0.0538755i | ||||
\(92\) | −798.483 | + | 1099.02i | −0.904865 | + | 1.24544i | ||||
\(93\) | 151.435 | − | 23.0625i | 0.168850 | − | 0.0257147i | ||||
\(94\) | 1171.24 | − | 380.558i | 1.28515 | − | 0.417570i | ||||
\(95\) | 210.371 | + | 152.843i | 0.227196 | + | 0.165067i | ||||
\(96\) | 1385.80 | + | 2760.25i | 1.47331 | + | 2.93455i | ||||
\(97\) | −537.879 | + | 1655.42i | −0.563024 | + | 1.73281i | 0.110725 | + | 0.993851i | \(0.464683\pi\) |
−0.673750 | + | 0.738960i | \(0.735317\pi\) | |||||||
\(98\) | −768.763 | −0.792416 | ||||||||
\(99\) | 613.172 | − | 770.921i | 0.622486 | − | 0.782631i | ||||
\(100\) | 1491.03 | 1.49103 | ||||||||
\(101\) | 161.451 | − | 496.896i | 0.159059 | − | 0.489535i | −0.839490 | − | 0.543375i | \(-0.817146\pi\) |
0.998550 | + | 0.0538403i | \(0.0171462\pi\) | |||||||
\(102\) | 672.307 | + | 1339.11i | 0.652631 | + | 1.29992i | ||||
\(103\) | −745.341 | − | 541.522i | −0.713016 | − | 0.518036i | 0.171130 | − | 0.985249i | \(-0.445258\pi\) |
−0.884145 | + | 0.467212i | \(0.845258\pi\) | |||||||
\(104\) | −380.692 | + | 123.694i | −0.358942 | + | 0.116627i | ||||
\(105\) | −537.955 | + | 81.9268i | −0.499991 | + | 0.0761451i | ||||
\(106\) | 619.906 | − | 853.227i | 0.568024 | − | 0.781818i | ||||
\(107\) | 432.035 | − | 313.892i | 0.390340 | − | 0.283599i | −0.375255 | − | 0.926922i | \(-0.622445\pi\) |
0.765595 | + | 0.643323i | \(0.222445\pi\) | |||||||
\(108\) | −2064.44 | − | 2139.46i | −1.83936 | − | 1.90620i | ||||
\(109\) | 925.920i | 0.813643i | 0.913508 | + | 0.406821i | \(0.133363\pi\) | ||||
−0.913508 | + | 0.406821i | \(0.866637\pi\) | |||||||
\(110\) | −46.1819 | + | 1456.31i | −0.0400297 | + | 1.26231i | ||||
\(111\) | −178.831 | + | 1087.20i | −0.152918 | + | 0.929662i | ||||
\(112\) | −2904.26 | − | 943.652i | −2.45024 | − | 0.796131i | ||||
\(113\) | 835.990 | + | 1150.64i | 0.695958 | + | 0.957904i | 0.999986 | + | 0.00524125i | \(0.00166835\pi\) |
−0.304028 | + | 0.952663i | \(0.598332\pi\) | |||||||
\(114\) | −694.176 | − | 702.483i | −0.570312 | − | 0.577137i | ||||
\(115\) | 146.428 | + | 450.658i | 0.118734 | + | 0.365427i | ||||
\(116\) | −922.305 | − | 2838.56i | −0.738223 | − | 2.27202i | ||||
\(117\) | 123.730 | − | 87.6654i | 0.0977678 | − | 0.0692707i | ||||
\(118\) | −1497.01 | − | 2060.46i | −1.16789 | − | 1.60746i | ||||
\(119\) | −719.139 | − | 233.662i | −0.553978 | − | 0.179998i | ||||
\(120\) | 2701.23 | + | 444.317i | 2.05489 | + | 0.338004i | ||||
\(121\) | 1328.33 | + | 84.3315i | 0.997991 | + | 0.0633595i | ||||
\(122\) | − | 3505.02i | − | 2.60106i | ||||||
\(123\) | 1215.42 | + | 628.422i | 0.890983 | + | 0.460674i | ||||
\(124\) | 505.408 | − | 367.200i | 0.366024 | − | 0.265932i | ||||
\(125\) | 848.808 | − | 1168.28i | 0.607358 | − | 0.835956i | ||||
\(126\) | 2066.57 | + | 24.5843i | 1.46114 | + | 0.0173821i | ||||
\(127\) | −1326.72 | + | 431.078i | −0.926989 | + | 0.301197i | −0.733331 | − | 0.679872i | \(-0.762035\pi\) |
−0.193658 | + | 0.981069i | \(0.562035\pi\) | |||||||
\(128\) | 2653.24 | + | 1927.69i | 1.83216 | + | 1.33114i | ||||
\(129\) | −1791.49 | + | 899.427i | −1.22273 | + | 0.613877i | ||||
\(130\) | −69.3125 | + | 213.322i | −0.0467624 | + | 0.143920i | ||||
\(131\) | −1197.47 | −0.798651 | −0.399325 | − | 0.916809i | \(-0.630756\pi\) | ||||
−0.399325 | + | 0.916809i | \(0.630756\pi\) | |||||||
\(132\) | 777.344 | − | 3941.35i | 0.512569 | − | 2.59887i | ||||
\(133\) | 498.381 | 0.324926 | ||||||||
\(134\) | −1375.11 | + | 4232.14i | −0.886501 | + | 2.72837i | ||||
\(135\) | −1027.02 | + | 143.929i | −0.654751 | + | 0.0917588i | ||||
\(136\) | 3077.49 | + | 2235.93i | 1.94039 | + | 1.40978i | ||||
\(137\) | −1092.48 | + | 354.968i | −0.681291 | + | 0.221365i | −0.629161 | − | 0.777275i | \(-0.716601\pi\) |
−0.0521307 | + | 0.998640i | \(0.516601\pi\) | |||||||
\(138\) | −270.955 | − | 1779.17i | −0.167139 | − | 1.09748i | ||||
\(139\) | 823.090 | − | 1132.89i | 0.502256 | − | 0.691296i | −0.480334 | − | 0.877086i | \(-0.659484\pi\) |
0.982589 | + | 0.185790i | \(0.0594845\pi\) | |||||||
\(140\) | −1795.40 | + | 1304.44i | −1.08385 | + | 0.787464i | ||||
\(141\) | −543.967 | + | 1052.08i | −0.324895 | + | 0.628376i | ||||
\(142\) | − | 3437.31i | − | 2.03136i | ||||||
\(143\) | 192.764 | + | 69.4613i | 0.112725 | + | 0.0406199i | ||||
\(144\) | −5513.14 | − | 1864.12i | −3.19047 | − | 1.07877i | ||||
\(145\) | −990.130 | − | 321.713i | −0.567075 | − | 0.184254i | ||||
\(146\) | 596.949 | + | 821.629i | 0.338382 | + | 0.465743i | ||||
\(147\) | 525.895 | − | 519.676i | 0.295069 | − | 0.291579i | ||||
\(148\) | 1388.57 | + | 4273.58i | 0.771215 | + | 2.37356i | ||||
\(149\) | 429.955 | + | 1323.26i | 0.236398 | + | 0.727557i | 0.996933 | + | 0.0782607i | \(0.0249367\pi\) |
−0.760535 | + | 0.649297i | \(0.775063\pi\) | |||||||
\(150\) | −1405.04 | + | 1388.43i | −0.764808 | + | 0.755764i | ||||
\(151\) | −396.714 | − | 546.030i | −0.213802 | − | 0.294273i | 0.688623 | − | 0.725119i | \(-0.258215\pi\) |
−0.902426 | + | 0.430846i | \(0.858215\pi\) | |||||||
\(152\) | −2384.52 | − | 774.777i | −1.27243 | − | 0.413439i | ||||
\(153\) | −1365.14 | − | 461.584i | −0.721338 | − | 0.243901i | ||||
\(154\) | 1569.00 | + | 2310.13i | 0.820999 | + | 1.20880i | ||||
\(155\) | − | 217.910i | − | 0.112922i | ||||||
\(156\) | 284.033 | − | 549.344i | 0.145775 | − | 0.281941i | ||||
\(157\) | 644.507 | − | 468.262i | 0.327626 | − | 0.238034i | −0.411797 | − | 0.911276i | \(-0.635099\pi\) |
0.739423 | + | 0.673242i | \(0.235099\pi\) | |||||||
\(158\) | −2725.11 | + | 3750.79i | −1.37214 | + | 1.88859i | ||||
\(159\) | 152.708 | + | 1002.73i | 0.0761669 | + | 0.500134i | ||||
\(160\) | 4178.69 | − | 1357.74i | 2.06472 | − | 0.670867i | ||||
\(161\) | 734.737 | + | 533.817i | 0.359661 | + | 0.261309i | ||||
\(162\) | 3937.61 | + | 93.6987i | 1.90968 | + | 0.0454424i | ||||
\(163\) | −397.727 | + | 1224.08i | −0.191119 | + | 0.588203i | 0.808881 | + | 0.587972i | \(0.200074\pi\) |
−1.00000 | 0.000230988i | \(0.999926\pi\) | ||||||||
\(164\) | 5580.22 | 2.65696 | ||||||||
\(165\) | −952.859 | − | 1027.45i | −0.449575 | − | 0.484769i | ||||
\(166\) | −1183.79 | −0.553495 | ||||||||
\(167\) | 1128.27 | − | 3472.47i | 0.522805 | − | 1.60903i | −0.245812 | − | 0.969318i | \(-0.579055\pi\) |
0.768617 | − | 0.639710i | \(-0.220945\pi\) | |||||||
\(168\) | 4688.98 | − | 2354.13i | 2.15335 | − | 1.08110i | ||||
\(169\) | −1751.89 | − | 1272.82i | −0.797402 | − | 0.579346i | ||||
\(170\) | 2027.25 | − | 658.694i | 0.914606 | − | 0.297174i | ||||
\(171\) | 949.744 | + | 11.2984i | 0.424729 | + | 0.00505268i | ||||
\(172\) | −4805.34 | + | 6613.98i | −2.13025 | + | 2.93204i | ||||
\(173\) | 31.3109 | − | 22.7487i | 0.0137603 | − | 0.00999742i | −0.580884 | − | 0.813986i | \(-0.697293\pi\) |
0.594644 | + | 0.803989i | \(0.297293\pi\) | |||||||
\(174\) | 3512.34 | + | 1816.02i | 1.53028 | + | 0.791219i | ||||
\(175\) | − | 996.815i | − | 0.430584i | ||||||
\(176\) | −2191.77 | − | 7552.15i | −0.938697 | − | 3.23446i | ||||
\(177\) | 2416.93 | + | 397.554i | 1.02637 | + | 0.168825i | ||||
\(178\) | −1117.87 | − | 363.219i | −0.470719 | − | 0.152946i | ||||
\(179\) | −998.541 | − | 1374.37i | −0.416952 | − | 0.573885i | 0.547945 | − | 0.836515i | \(-0.315410\pi\) |
−0.964897 | + | 0.262629i | \(0.915410\pi\) | |||||||
\(180\) | −3450.99 | + | 2445.11i | −1.42901 | + | 1.01249i | ||||
\(181\) | −572.973 | − | 1763.43i | −0.235297 | − | 0.724170i | −0.997082 | − | 0.0763397i | \(-0.975677\pi\) |
0.761785 | − | 0.647830i | \(-0.224323\pi\) | |||||||
\(182\) | 132.845 | + | 408.855i | 0.0541050 | + | 0.166518i | ||||
\(183\) | 2369.36 | + | 2397.71i | 0.957092 | + | 0.968546i | ||||
\(184\) | −2685.50 | − | 3696.28i | −1.07597 | − | 1.48094i | ||||
\(185\) | 1490.68 | + | 484.353i | 0.592418 | + | 0.192488i | ||||
\(186\) | −134.329 | + | 816.650i | −0.0529540 | + | 0.321934i | ||||
\(187\) | −542.715 | − | 1870.03i | −0.212231 | − | 0.731282i | ||||
\(188\) | 4830.28i | 1.87385i | ||||||||
\(189\) | −1430.31 | + | 1380.16i | −0.550476 | + | 0.531174i | ||||
\(190\) | −1136.62 | + | 825.800i | −0.433994 | + | 0.315315i | ||||
\(191\) | 119.283 | − | 164.179i | 0.0451885 | − | 0.0621967i | −0.785825 | − | 0.618449i | \(-0.787761\pi\) |
0.831013 | + | 0.556253i | \(0.187761\pi\) | |||||||
\(192\) | −7639.24 | + | 1163.40i | −2.87143 | + | 0.437299i | ||||
\(193\) | 3314.77 | − | 1077.04i | 1.23628 | − | 0.401693i | 0.383296 | − | 0.923625i | \(-0.374789\pi\) |
0.852987 | + | 0.521933i | \(0.174789\pi\) | |||||||
\(194\) | −7608.31 | − | 5527.76i | −2.81569 | − | 2.04572i | ||||
\(195\) | −96.7883 | − | 192.784i | −0.0355444 | − | 0.0707976i | ||||
\(196\) | 931.768 | − | 2867.69i | 0.339566 | − | 1.04508i | ||||
\(197\) | 4417.58 | 1.59766 | 0.798830 | − | 0.601556i | \(-0.205452\pi\) | ||||
0.798830 | + | 0.601556i | \(0.205452\pi\) | |||||||
\(198\) | 2937.61 | + | 4437.89i | 1.05438 | + | 1.59287i | ||||
\(199\) | −3356.53 | −1.19567 | −0.597834 | − | 0.801620i | \(-0.703972\pi\) | ||||
−0.597834 | + | 0.801620i | \(0.703972\pi\) | |||||||
\(200\) | −1549.64 | + | 4769.29i | −0.547880 | + | 1.68620i | ||||
\(201\) | −1920.20 | − | 3824.68i | −0.673834 | − | 1.34215i | ||||
\(202\) | 2283.73 | + | 1659.23i | 0.795459 | + | 0.577935i | ||||
\(203\) | −1897.69 | + | 616.597i | −0.656117 | + | 0.213185i | ||||
\(204\) | −5810.09 | + | 884.836i | −1.99406 | + | 0.303681i | ||||
\(205\) | 1144.10 | − | 1574.72i | 0.389792 | − | 0.536503i | ||||
\(206\) | 4027.01 | − | 2925.80i | 1.36202 | − | 0.989562i | ||||
\(207\) | 1388.05 | + | 1033.93i | 0.466070 | + | 0.347165i | ||||
\(208\) | − | 1210.56i | − | 0.403546i | ||||||
\(209\) | 721.076 | + | 1061.68i | 0.238650 | + | 0.351378i | ||||
\(210\) | 477.186 | − | 2901.05i | 0.156805 | − | 0.953294i | ||||
\(211\) | 2568.15 | + | 834.441i | 0.837907 | + | 0.272253i | 0.696372 | − | 0.717681i | \(-0.254796\pi\) |
0.141535 | + | 0.989933i | \(0.454796\pi\) | |||||||
\(212\) | 2431.41 | + | 3346.55i | 0.787689 | + | 1.08416i | ||||
\(213\) | 2323.59 | + | 2351.40i | 0.747464 | + | 0.756409i | ||||
\(214\) | 891.603 | + | 2744.07i | 0.284807 | + | 0.876547i | ||||
\(215\) | 881.214 | + | 2712.10i | 0.279527 | + | 0.860296i | ||||
\(216\) | 8988.96 | − | 4379.87i | 2.83158 | − | 1.37969i | ||||
\(217\) | −245.488 | − | 337.885i | −0.0767963 | − | 0.105701i | ||||
\(218\) | −4757.82 | − | 1545.91i | −1.47817 | − | 0.480285i | ||||
\(219\) | −963.774 | − | 158.529i | −0.297378 | − | 0.0489149i | ||||
\(220\) | −5376.44 | − | 1937.37i | −1.64763 | − | 0.593716i | ||||
\(221\) | − | 299.754i | − | 0.0912382i | ||||||
\(222\) | −5287.98 | − | 2734.10i | −1.59867 | − | 0.826579i | ||||
\(223\) | −4075.81 | + | 2961.25i | −1.22393 | + | 0.889237i | −0.996420 | − | 0.0845395i | \(-0.973058\pi\) |
−0.227509 | + | 0.973776i | \(0.573058\pi\) | |||||||
\(224\) | 4949.78 | − | 6812.79i | 1.47643 | − | 2.03214i | ||||
\(225\) | 22.5980 | − | 1899.59i | 0.00669569 | − | 0.562841i | ||||
\(226\) | −7308.30 | + | 2374.61i | −2.15107 | + | 0.698924i | ||||
\(227\) | 2021.19 | + | 1468.48i | 0.590973 | + | 0.429367i | 0.842663 | − | 0.538441i | \(-0.180986\pi\) |
−0.251690 | + | 0.967808i | \(0.580986\pi\) | |||||||
\(228\) | 3461.81 | − | 1738.02i | 1.00554 | − | 0.504840i | ||||
\(229\) | 1118.50 | − | 3442.39i | 0.322763 | − | 0.993361i | −0.649678 | − | 0.760210i | \(-0.725096\pi\) |
0.972440 | − | 0.233152i | \(-0.0749038\pi\) | |||||||
\(230\) | −2560.17 | −0.733968 | ||||||||
\(231\) | −2634.95 | − | 519.685i | −0.750506 | − | 0.148021i | ||||
\(232\) | 10038.1 | 2.84067 | ||||||||
\(233\) | 1079.75 | − | 3323.14i | 0.303592 | − | 0.934361i | −0.676606 | − | 0.736345i | \(-0.736550\pi\) |
0.980199 | − | 0.198016i | \(-0.0634499\pi\) | |||||||
\(234\) | 243.888 | + | 782.148i | 0.0681345 | + | 0.218507i | ||||
\(235\) | 1363.09 | + | 990.341i | 0.378374 | + | 0.274905i | ||||
\(236\) | 9500.49 | − | 3086.90i | 2.62046 | − | 0.851440i | ||||
\(237\) | −671.305 | − | 4407.98i | −0.183991 | − | 1.20814i | ||||
\(238\) | 2401.34 | − | 3305.16i | 0.654015 | − | 0.900175i | ||||
\(239\) | −4230.96 | + | 3073.98i | −1.14510 | + | 0.831962i | −0.987821 | − | 0.155593i | \(-0.950271\pi\) |
−0.157276 | + | 0.987555i | \(0.550271\pi\) | |||||||
\(240\) | −3802.40 | + | 7354.16i | −1.02268 | + | 1.97795i | ||||
\(241\) | 4559.49i | 1.21868i | 0.792908 | + | 0.609342i | \(0.208566\pi\) | ||||
−0.792908 | + | 0.609342i | \(0.791434\pi\) | |||||||
\(242\) | −2651.10 | + | 6684.77i | −0.704211 | + | 1.77567i | ||||
\(243\) | −2756.98 | + | 2597.69i | −0.727820 | + | 0.685768i | ||||
\(244\) | 13074.6 | + | 4248.21i | 3.43040 | + | 1.11460i | ||||
\(245\) | −618.212 | − | 850.897i | −0.161209 | − | 0.221885i | ||||
\(246\) | −5258.39 | + | 5196.21i | −1.36286 | + | 1.34674i | ||||
\(247\) | 61.0523 | + | 187.900i | 0.0157274 | + | 0.0484039i | ||||
\(248\) | 649.272 | + | 1998.25i | 0.166245 | + | 0.511650i | ||||
\(249\) | 809.808 | − | 800.232i | 0.206103 | − | 0.203665i | ||||
\(250\) | 4586.04 | + | 6312.14i | 1.16019 | + | 1.59686i | ||||
\(251\) | −6198.59 | − | 2014.04i | −1.55877 | − | 0.506475i | −0.602292 | − | 0.798276i | \(-0.705746\pi\) |
−0.956479 | + | 0.291801i | \(0.905746\pi\) | |||||||
\(252\) | −2596.46 | + | 7679.03i | −0.649053 | + | 1.91958i | ||||
\(253\) | −74.1267 | + | 2337.53i | −0.0184202 | + | 0.580866i | ||||
\(254\) | − | 7537.05i | − | 1.86188i | ||||||
\(255\) | −941.531 | + | 1821.00i | −0.231219 | + | 0.447198i | ||||
\(256\) | −4710.38 | + | 3422.29i | −1.15000 | + | 0.835521i | ||||
\(257\) | 2404.03 | − | 3308.87i | 0.583500 | − | 0.803119i | −0.410573 | − | 0.911828i | \(-0.634671\pi\) |
0.994074 | + | 0.108708i | \(0.0346714\pi\) | |||||||
\(258\) | −1630.63 | − | 10707.2i | −0.393483 | − | 2.58372i | ||||
\(259\) | 2857.06 | − | 928.314i | 0.685440 | − | 0.222713i | ||||
\(260\) | −711.738 | − | 517.108i | −0.169770 | − | 0.123345i | ||||
\(261\) | −3630.33 | + | 1132.00i | −0.860964 | + | 0.268464i | ||||
\(262\) | 1999.28 | − | 6153.16i | 0.471435 | − | 1.45093i | ||||
\(263\) | 614.302 | 0.144028 | 0.0720142 | − | 0.997404i | \(-0.477057\pi\) | ||||
0.0720142 | + | 0.997404i | \(0.477057\pi\) | |||||||
\(264\) | 11799.1 | + | 6582.71i | 2.75070 | + | 1.53461i | ||||
\(265\) | 1442.89 | 0.334476 | ||||||||
\(266\) | −832.093 | + | 2560.92i | −0.191800 | + | 0.590301i | ||||
\(267\) | 1010.25 | − | 507.200i | 0.231558 | − | 0.116255i | ||||
\(268\) | −14120.3 | − | 10259.0i | −3.21842 | − | 2.33832i | ||||
\(269\) | −8227.13 | + | 2673.16i | −1.86475 | + | 0.605893i | −0.871424 | + | 0.490531i | \(0.836803\pi\) |
−0.993324 | + | 0.115362i | \(0.963197\pi\) | |||||||
\(270\) | 975.121 | − | 5517.60i | 0.219793 | − | 1.24367i | ||||
\(271\) | −4770.51 | + | 6566.05i | −1.06933 | + | 1.47180i | −0.198574 | + | 0.980086i | \(0.563631\pi\) |
−0.870754 | + | 0.491718i | \(0.836369\pi\) | |||||||
\(272\) | −9307.16 | + | 6762.05i | −2.07474 | + | 1.50739i | ||||
\(273\) | −367.258 | − | 189.887i | −0.0814193 | − | 0.0420971i | ||||
\(274\) | − | 6206.34i | − | 1.36839i | ||||||
\(275\) | 2123.48 | − | 1442.23i | 0.465638 | − | 0.316253i | ||||
\(276\) | 6965.17 | + | 1145.68i | 1.51904 | + | 0.249862i | ||||
\(277\) | −4304.84 | − | 1398.73i | −0.933765 | − | 0.303399i | −0.197664 | − | 0.980270i | \(-0.563335\pi\) |
−0.736101 | + | 0.676871i | \(0.763335\pi\) | |||||||
\(278\) | 4447.08 | + | 6120.88i | 0.959418 | + | 1.32053i | ||||
\(279\) | −460.156 | − | 649.458i | −0.0987413 | − | 0.139362i | ||||
\(280\) | −2306.46 | − | 7098.56i | −0.492277 | − | 1.51507i | ||||
\(281\) | 964.329 | + | 2967.90i | 0.204723 | + | 0.630071i | 0.999725 | + | 0.0234645i | \(0.00746968\pi\) |
−0.795002 | + | 0.606607i | \(0.792530\pi\) | |||||||
\(282\) | −4497.87 | − | 4551.70i | −0.949803 | − | 0.961170i | ||||
\(283\) | 5302.41 | + | 7298.14i | 1.11377 | + | 1.53297i | 0.815749 | + | 0.578406i | \(0.196325\pi\) |
0.298016 | + | 0.954561i | \(0.403675\pi\) | |||||||
\(284\) | 12822.1 | + | 4166.15i | 2.67905 | + | 0.870477i | ||||
\(285\) | 219.303 | − | 1333.25i | 0.0455804 | − | 0.277106i | ||||
\(286\) | −678.762 | + | 874.540i | −0.140336 | + | 0.180813i | ||||
\(287\) | − | 3730.60i | − | 0.767283i | ||||||
\(288\) | 9587.04 | − | 12870.6i | 1.96153 | − | 2.63337i | ||||
\(289\) | 1670.11 | − | 1213.40i | 0.339936 | − | 0.246978i | ||||
\(290\) | 3306.23 | − | 4550.63i | 0.669477 | − | 0.921456i | ||||
\(291\) | 8941.40 | − | 1361.71i | 1.80122 | − | 0.274313i | ||||
\(292\) | −3788.42 | + | 1230.93i | −0.759248 | + | 0.246694i | ||||
\(293\) | 1177.88 | + | 855.779i | 0.234855 | + | 0.170632i | 0.698988 | − | 0.715134i | \(-0.253634\pi\) |
−0.464133 | + | 0.885765i | \(0.653634\pi\) | |||||||
\(294\) | 1792.31 | + | 3569.95i | 0.355543 | + | 0.708175i | ||||
\(295\) | 1076.75 | − | 3313.90i | 0.212512 | − | 0.654043i | ||||
\(296\) | −15112.8 | −2.96762 | ||||||||
\(297\) | −5009.53 | − | 1050.08i | −0.978729 | − | 0.205157i | ||||
\(298\) | −7517.41 | −1.46132 | ||||||||
\(299\) | −111.254 | + | 342.404i | −0.0215183 | + | 0.0662265i | ||||
\(300\) | −3476.24 | − | 6924.00i | −0.669002 | − | 1.33252i | ||||
\(301\) | 4421.71 | + | 3212.56i | 0.846721 | + | 0.615179i | ||||
\(302\) | 3468.11 | − | 1126.86i | 0.660819 | − | 0.214713i | ||||
\(303\) | −2683.87 | + | 408.736i | −0.508860 | + | 0.0774958i | ||||
\(304\) | 4456.90 | − | 6134.40i | 0.840859 | − | 1.15734i | ||||
\(305\) | 3879.49 | − | 2818.61i | 0.728324 | − | 0.529159i | ||||
\(306\) | 4651.06 | − | 6244.06i | 0.868899 | − | 1.16650i | ||||
\(307\) | 1601.59i | 0.297744i | 0.988856 | + | 0.148872i | \(0.0475643\pi\) | ||||
−0.988856 | + | 0.148872i | \(0.952436\pi\) | |||||||
\(308\) | −10519.1 | + | 3052.83i | −1.94604 | + | 0.564776i | ||||
\(309\) | −776.988 | + | 4723.70i | −0.143046 | + | 0.869650i | ||||
\(310\) | 1119.73 | + | 363.821i | 0.205149 | + | 0.0666570i | ||||
\(311\) | 3878.40 | + | 5338.16i | 0.707151 | + | 0.973310i | 0.999854 | + | 0.0171062i | \(0.00544535\pi\) |
−0.292703 | + | 0.956203i | \(0.594555\pi\) | |||||||
\(312\) | 1461.96 | + | 1479.46i | 0.265280 | + | 0.268454i | ||||
\(313\) | 231.917 | + | 713.767i | 0.0418809 | + | 0.128896i | 0.969811 | − | 0.243859i | \(-0.0784133\pi\) |
−0.927930 | + | 0.372755i | \(0.878413\pi\) | |||||||
\(314\) | 1330.09 | + | 4093.59i | 0.239049 | + | 0.735716i | ||||
\(315\) | 1634.65 | + | 2307.12i | 0.292388 | + | 0.412672i | ||||
\(316\) | −10688.5 | − | 14711.4i | −1.90277 | − | 2.61894i | ||||
\(317\) | 403.450 | + | 131.089i | 0.0714827 | + | 0.0232261i | 0.344540 | − | 0.938772i | \(-0.388035\pi\) |
−0.273057 | + | 0.961998i | \(0.588035\pi\) | |||||||
\(318\) | −5407.44 | − | 889.455i | −0.953566 | − | 0.156850i | ||||
\(319\) | −4059.16 | − | 3150.46i | −0.712443 | − | 0.552953i | ||||
\(320\) | 10992.6i | 1.92033i | ||||||||
\(321\) | −2464.89 | − | 1274.45i | −0.428589 | − | 0.221598i | ||||
\(322\) | −3969.72 | + | 2884.17i | −0.687030 | + | 0.499157i | ||||
\(323\) | 1103.60 | − | 1518.97i | 0.190111 | − | 0.261665i | ||||
\(324\) | −5122.04 | + | 14574.8i | −0.878265 | + | 2.49910i | ||||
\(325\) | 375.820 | − | 122.111i | 0.0641437 | − | 0.0208416i | ||||
\(326\) | −5625.85 | − | 4087.42i | −0.955788 | − | 0.694421i | ||||
\(327\) | 4299.75 | − | 2158.71i | 0.727145 | − | 0.365068i | ||||
\(328\) | −5799.55 | + | 17849.2i | −0.976300 | + | 3.00474i | ||||
\(329\) | 3229.23 | 0.541135 | ||||||||
\(330\) | 6870.41 | − | 3180.82i | 1.14607 | − | 0.530601i | ||||
\(331\) | 3254.14 | 0.540374 | 0.270187 | − | 0.962808i | \(-0.412915\pi\) | ||||
0.270187 | + | 0.962808i | \(0.412915\pi\) | |||||||
\(332\) | 1434.80 | − | 4415.86i | 0.237183 | − | 0.729975i | ||||
\(333\) | 5465.62 | − | 1704.28i | 0.899442 | − | 0.280462i | ||||
\(334\) | 15959.4 | + | 11595.2i | 2.61455 | + | 1.89958i | ||||
\(335\) | −5790.11 | + | 1881.32i | −0.944321 | + | 0.306829i | ||||
\(336\) | 2388.98 | + | 15686.7i | 0.387886 | + | 2.54697i | ||||
\(337\) | 1470.72 | − | 2024.27i | 0.237731 | − | 0.327209i | −0.673436 | − | 0.739245i | \(-0.735182\pi\) |
0.911167 | + | 0.412037i | \(0.135182\pi\) | |||||||
\(338\) | 9465.32 | − | 6876.96i | 1.52321 | − | 1.10668i | ||||
\(339\) | 3394.25 | − | 6564.76i | 0.543806 | − | 1.05177i | ||||
\(340\) | 8360.54i | 1.33357i | ||||||||
\(341\) | 364.603 | − | 1011.82i | 0.0579013 | − | 0.160683i | ||||
\(342\) | −1643.74 | + | 4861.37i | −0.259893 | + | 0.768634i | ||||
\(343\) | −6538.72 | − | 2124.56i | −1.02932 | − | 0.334447i | ||||
\(344\) | −16161.6 | − | 22244.5i | −2.53307 | − | 3.48647i | ||||
\(345\) | 1751.36 | − | 1730.65i | 0.273305 | − | 0.270073i | ||||
\(346\) | 64.6173 | + | 198.871i | 0.0100400 | + | 0.0309000i | ||||
\(347\) | 906.891 | + | 2791.12i | 0.140301 | + | 0.431802i | 0.996377 | − | 0.0850480i | \(-0.0271044\pi\) |
−0.856076 | + | 0.516850i | \(0.827104\pi\) | |||||||
\(348\) | −11031.3 | + | 10900.9i | −1.69925 | + | 1.67916i | ||||
\(349\) | 213.094 | + | 293.299i | 0.0326839 | + | 0.0449856i | 0.825046 | − | 0.565065i | \(-0.191149\pi\) |
−0.792362 | + | 0.610051i | \(0.791149\pi\) | |||||||
\(350\) | 5122.11 | + | 1664.27i | 0.782253 | + | 0.254169i | ||||
\(351\) | −695.564 | − | 370.186i | −0.105773 | − | 0.0562936i | ||||
\(352\) | 21674.6 | + | 687.335i | 3.28198 | + | 0.104077i | ||||
\(353\) | 6394.85i | 0.964203i | 0.876115 | + | 0.482102i | \(0.160126\pi\) | ||||
−0.876115 | + | 0.482102i | \(0.839874\pi\) | |||||||
\(354\) | −6078.10 | + | 11755.6i | −0.912563 | + | 1.76497i | ||||
\(355\) | 3804.55 | − | 2764.17i | 0.568802 | − | 0.413259i | ||||
\(356\) | 2709.80 | − | 3729.72i | 0.403425 | − | 0.555267i | ||||
\(357\) | 591.548 | + | 3884.27i | 0.0876975 | + | 0.575847i | ||||
\(358\) | 8729.34 | − | 2836.33i | 1.28871 | − | 0.418729i | ||||
\(359\) | −5091.13 | − | 3698.92i | −0.748466 | − | 0.543792i | 0.146885 | − | 0.989154i | \(-0.453075\pi\) |
−0.895351 | + | 0.445361i | \(0.853075\pi\) | |||||||
\(360\) | −4234.40 | − | 13579.7i | −0.619924 | − | 1.98809i | ||||
\(361\) | 1737.14 | − | 5346.36i | 0.253264 | − | 0.779466i | ||||
\(362\) | 10018.0 | 1.45451 | ||||||||
\(363\) | −2705.28 | − | 6365.03i | −0.391158 | − | 0.920324i | ||||
\(364\) | −1686.15 | −0.242797 | ||||||||
\(365\) | −429.366 | + | 1321.45i | −0.0615727 | + | 0.189501i | ||||
\(366\) | −16276.4 | + | 8171.68i | −2.32454 | + | 1.16705i | ||||
\(367\) | −3548.27 | − | 2577.97i | −0.504682 | − | 0.366673i | 0.306121 | − | 0.951993i | \(-0.400969\pi\) |
−0.810802 | + | 0.585320i | \(0.800969\pi\) | |||||||
\(368\) | 13141.2 | − | 4269.82i | 1.86149 | − | 0.604836i | ||||
\(369\) | 84.5732 | − | 7109.24i | 0.0119315 | − | 1.00296i | ||||
\(370\) | −4977.67 | + | 6851.17i | −0.699397 | + | 0.962637i | ||||
\(371\) | 2237.30 | − | 1625.49i | 0.313086 | − | 0.227470i | ||||
\(372\) | −2883.51 | − | 1490.89i | −0.401890 | − | 0.207793i | ||||
\(373\) | 1715.98i | 0.238204i | 0.992882 | + | 0.119102i | \(0.0380015\pi\) | ||||
−0.992882 | + | 0.119102i | \(0.961998\pi\) | |||||||
\(374\) | 10515.2 | + | 333.454i | 1.45382 | + | 0.0461029i | ||||
\(375\) | −7404.16 | − | 1217.89i | −1.01960 | − | 0.167711i | ||||
\(376\) | −15450.4 | − | 5020.13i | −2.11913 | − | 0.688546i | ||||
\(377\) | −464.939 | − | 639.934i | −0.0635161 | − | 0.0874225i | ||||
\(378\) | −4703.88 | − | 9653.94i | −0.640057 | − | 1.31361i | ||||
\(379\) | −844.455 | − | 2598.96i | −0.114450 | − | 0.352242i | 0.877382 | − | 0.479793i | \(-0.159288\pi\) |
−0.991832 | + | 0.127551i | \(0.959288\pi\) | |||||||
\(380\) | −1702.83 | − | 5240.78i | −0.229877 | − | 0.707490i | ||||
\(381\) | 5094.97 | + | 5155.95i | 0.685101 | + | 0.693300i | ||||
\(382\) | 644.475 | + | 887.044i | 0.0863199 | + | 0.118809i | ||||
\(383\) | −12395.8 | − | 4027.65i | −1.65378 | − | 0.537345i | −0.674225 | − | 0.738526i | \(-0.735522\pi\) |
−0.979554 | + | 0.201180i | \(0.935522\pi\) | |||||||
\(384\) | 2765.90 | − | 16815.3i | 0.367570 | − | 2.23464i | ||||
\(385\) | −1295.21 | + | 3594.36i | −0.171454 | + | 0.475807i | ||||
\(386\) | 18831.1i | 2.48310i | ||||||||
\(387\) | 8353.43 | + | 6222.28i | 1.09723 | + | 0.817303i | ||||
\(388\) | 29841.5 | − | 21681.1i | 3.90457 | − | 2.83684i | ||||
\(389\) | −4050.73 | + | 5575.35i | −0.527969 | + | 0.726687i | −0.986819 | − | 0.161827i | \(-0.948261\pi\) |
0.458850 | + | 0.888514i | \(0.348261\pi\) | |||||||
\(390\) | 1152.21 | − | 175.474i | 0.149601 | − | 0.0227832i | ||||
\(391\) | 3253.95 | − | 1057.27i | 0.420868 | − | 0.136748i | ||||
\(392\) | 8204.33 | + | 5960.79i | 1.05709 | + | 0.768024i | ||||
\(393\) | 2791.81 | + | 5560.75i | 0.358341 | + | 0.713747i | ||||
\(394\) | −7375.55 | + | 22699.6i | −0.943083 | + | 2.90251i | ||||
\(395\) | −6342.95 | −0.807971 | ||||||||
\(396\) | −20115.0 | + | 5579.18i | −2.55257 | + | 0.707990i | ||||
\(397\) | −4530.33 | −0.572722 | −0.286361 | − | 0.958122i | \(-0.592446\pi\) | ||||
−0.286361 | + | 0.958122i | \(0.592446\pi\) | |||||||
\(398\) | 5604.04 | − | 17247.4i | 0.705791 | − | 2.17220i | ||||
\(399\) | −1161.94 | − | 2314.36i | −0.145789 | − | 0.290383i | ||||
\(400\) | −12269.5 | − | 8914.29i | −1.53368 | − | 1.11429i | ||||
\(401\) | −6775.33 | + | 2201.44i | −0.843750 | + | 0.274151i | −0.698826 | − | 0.715292i | \(-0.746294\pi\) |
−0.144924 | + | 0.989443i | \(0.546294\pi\) | |||||||
\(402\) | 22859.0 | − | 3481.26i | 2.83608 | − | 0.431915i | ||||
\(403\) | 97.3169 | − | 133.945i | 0.0120290 | − | 0.0165565i | ||||
\(404\) | −8957.32 | + | 6507.87i | −1.10308 | + | 0.801432i | ||||
\(405\) | 3062.78 | + | 4433.65i | 0.375780 | + | 0.543975i | ||||
\(406\) | − | 10780.7i | − | 1.31783i | ||||||
\(407\) | 6111.25 | + | 4743.16i | 0.744283 | + | 0.577665i | ||||
\(408\) | 3208.17 | − | 19504.0i | 0.389284 | − | 2.36665i | ||||
\(409\) | −11967.3 | − | 3888.43i | −1.44681 | − | 0.470099i | −0.522800 | − | 0.852455i | \(-0.675112\pi\) |
−0.924015 | + | 0.382357i | \(0.875112\pi\) | |||||||
\(410\) | 6181.47 | + | 8508.07i | 0.744588 | + | 1.02484i | ||||
\(411\) | 4195.42 | + | 4245.63i | 0.503516 | + | 0.509541i | ||||
\(412\) | 6033.10 | + | 18568.0i | 0.721431 | + | 2.22034i | ||||
\(413\) | −2063.71 | − | 6351.45i | −0.245880 | − | 0.756742i | ||||
\(414\) | −7630.31 | + | 5406.25i | −0.905819 | + | 0.641793i | ||||
\(415\) | −951.965 | − | 1310.27i | −0.112603 | − | 0.154984i | ||||
\(416\) | 3174.92 | + | 1031.59i | 0.374190 | + | 0.121582i | ||||
\(417\) | −7179.81 | − | 1180.99i | −0.843158 | − | 0.138689i | ||||
\(418\) | −6659.33 | + | 1932.66i | −0.779231 | + | 0.226147i | ||||
\(419\) | − | 7783.61i | − | 0.907528i | −0.891122 | − | 0.453764i | \(-0.850081\pi\) | ||
0.891122 | − | 0.453764i | \(-0.149919\pi\) | |||||||
\(420\) | 10243.3 | + | 5296.21i | 1.19005 | + | 0.615306i | ||||
\(421\) | 2705.58 | − | 1965.72i | 0.313212 | − | 0.227562i | −0.420062 | − | 0.907496i | \(-0.637992\pi\) |
0.733273 | + | 0.679934i | \(0.237992\pi\) | |||||||
\(422\) | −8575.51 | + | 11803.2i | −0.989216 | + | 1.36154i | ||||
\(423\) | 6153.81 | + | 73.2072i | 0.707349 | + | 0.00841478i | ||||
\(424\) | −13231.4 | + | 4299.15i | −1.51551 | + | 0.492418i | ||||
\(425\) | −3038.10 | − | 2207.31i | −0.346752 | − | 0.251930i | ||||
\(426\) | −15962.0 | + | 8013.84i | −1.81541 | + | 0.911436i | ||||
\(427\) | 2840.09 | − | 8740.91i | 0.321878 | − | 0.990637i | ||||
\(428\) | −11316.8 | −1.27808 | ||||||||
\(429\) | −126.853 | − | 1057.09i | −0.0142763 | − | 0.118967i | ||||
\(430\) | −15407.3 | −1.72792 | ||||||||
\(431\) | −20.6392 | + | 63.5209i | −0.00230662 | + | 0.00709906i | −0.952203 | − | 0.305465i | \(-0.901188\pi\) |
0.949897 | + | 0.312564i | \(0.101188\pi\) | |||||||
\(432\) | 4196.96 | + | 29947.7i | 0.467422 | + | 3.33532i | ||||
\(433\) | −796.481 | − | 578.677i | −0.0883982 | − | 0.0642251i | 0.542708 | − | 0.839921i | \(-0.317399\pi\) |
−0.631107 | + | 0.775696i | \(0.717399\pi\) | |||||||
\(434\) | 2146.08 | − | 697.303i | 0.237362 | − | 0.0771235i | ||||
\(435\) | 814.459 | + | 5347.97i | 0.0897708 | + | 0.589461i | ||||
\(436\) | 11533.3 | − | 15874.2i | 1.26685 | − | 1.74366i | ||||
\(437\) | −1824.39 | + | 1325.49i | −0.199708 | + | 0.145096i | ||||
\(438\) | 2423.70 | − | 4687.65i | 0.264404 | − | 0.511380i | ||||
\(439\) | − | 739.934i | − | 0.0804444i | −0.999191 | − | 0.0402222i | \(-0.987193\pi\) | ||
0.999191 | − | 0.0402222i | \(-0.0128066\pi\) | |||||||
\(440\) | 11784.7 | − | 15183.8i | 1.27685 | − | 1.64514i | ||||
\(441\) | −3639.33 | − | 1230.54i | −0.392974 | − | 0.132874i | ||||
\(442\) | 1540.28 | + | 500.467i | 0.165755 | + | 0.0538570i | ||||
\(443\) | −2267.47 | − | 3120.91i | −0.243185 | − | 0.334715i | 0.669925 | − | 0.742429i | \(-0.266326\pi\) |
−0.913110 | + | 0.407714i | \(0.866326\pi\) | |||||||
\(444\) | 16608.1 | − | 16411.7i | 1.77519 | − | 1.75420i | ||||
\(445\) | −496.930 | − | 1529.39i | −0.0529365 | − | 0.162922i | ||||
\(446\) | −8411.36 | − | 25887.5i | −0.893026 | − | 2.74845i | ||||
\(447\) | 5142.51 | − | 5081.70i | 0.544144 | − | 0.537709i | ||||
\(448\) | 12383.8 | + | 17044.8i | 1.30598 | + | 1.79753i | ||||
\(449\) | 14543.2 | + | 4725.36i | 1.52858 | + | 0.496667i | 0.948200 | − | 0.317675i | \(-0.102902\pi\) |
0.580385 | + | 0.814342i | \(0.302902\pi\) | |||||||
\(450\) | 9723.26 | + | 3287.66i | 1.01858 | + | 0.344404i | ||||
\(451\) | 7947.15 | − | 5397.57i | 0.829749 | − | 0.563551i | ||||
\(452\) | − | 30140.0i | − | 3.13643i | ||||||
\(453\) | −1610.72 | + | 3115.27i | −0.167060 | + | 0.323108i | ||||
\(454\) | −10920.3 | + | 7934.06i | −1.12889 | + | 0.820184i | ||||
\(455\) | −345.707 | + | 475.825i | −0.0356198 | + | 0.0490264i | ||||
\(456\) | 1961.45 | + | 12879.5i | 0.201433 | + | 1.32267i | ||||
\(457\) | −9502.43 | + | 3087.53i | −0.972658 | + | 0.316036i | −0.751889 | − | 0.659290i | \(-0.770857\pi\) |
−0.220770 | + | 0.975326i | \(0.570857\pi\) | |||||||
\(458\) | 15821.2 | + | 11494.8i | 1.61414 | + | 1.17274i | ||||
\(459\) | 1039.23 | + | 7415.50i | 0.105680 | + | 0.754087i | ||||
\(460\) | 3103.02 | − | 9550.11i | 0.314519 | − | 0.967991i | ||||
\(461\) | 9192.00 | 0.928664 | 0.464332 | − | 0.885661i | \(-0.346295\pi\) | ||||
0.464332 | + | 0.885661i | \(0.346295\pi\) | |||||||
\(462\) | 7069.68 | − | 12672.0i | 0.711929 | − | 1.27609i | ||||
\(463\) | 12149.6 | 1.21953 | 0.609764 | − | 0.792583i | \(-0.291264\pi\) | ||||
0.609764 | + | 0.792583i | \(0.291264\pi\) | |||||||
\(464\) | −9381.12 | + | 28872.1i | −0.938594 | + | 2.88870i | ||||
\(465\) | −1011.92 | + | 508.042i | −0.100918 | + | 0.0506664i | ||||
\(466\) | 15273.1 | + | 11096.6i | 1.51827 | + | 1.10309i | ||||
\(467\) | 8630.33 | − | 2804.16i | 0.855169 | − | 0.277861i | 0.151560 | − | 0.988448i | \(-0.451570\pi\) |
0.703610 | + | 0.710587i | \(0.251570\pi\) | |||||||
\(468\) | −3213.22 | − | 38.2252i | −0.317374 | − | 0.00377556i | ||||
\(469\) | −6858.56 | + | 9439.99i | −0.675264 | + | 0.929421i | ||||
\(470\) | −7364.64 | + | 5350.72i | −0.722778 | + | 0.525129i | ||||
\(471\) | −3677.11 | − | 1901.22i | −0.359729 | − | 0.185995i | ||||
\(472\) | 33596.9i | 3.27632i | ||||||||
\(473\) | −446.101 | + | 14067.4i | −0.0433652 | + | 1.36749i | ||||
\(474\) | 23771.1 | + | 3910.05i | 2.30347 | + | 0.378891i | ||||
\(475\) | 2354.00 | + | 764.861i | 0.227387 | + | 0.0738826i | ||||
\(476\) | 9418.60 | + | 12963.6i | 0.906934 | + | 1.24829i | ||||
\(477\) | 4300.38 | − | 3046.92i | 0.412790 | − | 0.292471i | ||||
\(478\) | −8731.56 | − | 26873.0i | −0.835507 | − | 2.57143i | ||||
\(479\) | 4842.55 | + | 14903.8i | 0.461924 | + | 1.42166i | 0.862810 | + | 0.505529i | \(0.168703\pi\) |
−0.400885 | + | 0.916128i | \(0.631297\pi\) | |||||||
\(480\) | −16047.3 | − | 16239.4i | −1.52595 | − | 1.54421i | ||||
\(481\) | 699.987 | + | 963.449i | 0.0663548 | + | 0.0913295i | ||||
\(482\) | −23428.9 | − | 7612.50i | −2.21401 | − | 0.719377i | ||||
\(483\) | 765.934 | − | 4656.49i | 0.0721557 | − | 0.438670i | ||||
\(484\) | −21722.7 | − | 17991.5i | −2.04008 | − | 1.68966i | ||||
\(485\) | − | 12866.4i | − | 1.20460i | ||||||
\(486\) | −8745.13 | − | 18503.7i | −0.816228 | − | 1.72705i | ||||
\(487\) | −7372.80 | + | 5356.66i | −0.686024 | + | 0.498426i | −0.875351 | − | 0.483489i | \(-0.839369\pi\) |
0.189327 | + | 0.981914i | \(0.439369\pi\) | |||||||
\(488\) | −27177.0 | + | 37406.0i | −2.52100 | + | 3.46985i | ||||
\(489\) | 6611.58 | − | 1006.90i | 0.611424 | − | 0.0931156i | ||||
\(490\) | 5404.47 | − | 1756.02i | 0.498264 | − | 0.161896i | ||||
\(491\) | 2428.34 | + | 1764.29i | 0.223197 | + | 0.162162i | 0.693764 | − | 0.720202i | \(-0.255951\pi\) |
−0.470568 | + | 0.882364i | \(0.655951\pi\) | |||||||
\(492\) | −13009.9 | − | 25913.2i | −1.19213 | − | 2.37451i | ||||
\(493\) | −2322.91 | + | 7149.17i | −0.212208 | + | 0.653109i | ||||
\(494\) | −1067.45 | −0.0972204 | ||||||||
\(495\) | −2549.71 | + | 6820.26i | −0.231517 | + | 0.619289i | ||||
\(496\) | −6354.25 | −0.575231 | ||||||||
\(497\) | 2785.23 | − | 8572.07i | 0.251378 | − | 0.773662i | ||||
\(498\) | 2759.92 | + | 5497.24i | 0.248344 | + | 0.494653i | ||||
\(499\) | −6985.14 | − | 5075.00i | −0.626649 | − | 0.455287i | 0.228589 | − | 0.973523i | \(-0.426589\pi\) |
−0.855238 | + | 0.518236i | \(0.826589\pi\) | |||||||
\(500\) | −29104.4 | + | 9456.58i | −2.60317 | + | 0.845822i | ||||
\(501\) | −18755.8 | + | 2856.37i | −1.67255 | + | 0.254717i | ||||
\(502\) | 20698.2 | − | 28488.7i | 1.84025 | − | 2.53289i | ||||
\(503\) | 9726.79 | − | 7066.93i | 0.862219 | − | 0.626439i | −0.0662686 | − | 0.997802i | \(-0.521109\pi\) |
0.928488 | + | 0.371363i | \(0.121109\pi\) | |||||||
\(504\) | −21864.0 | − | 16286.0i | −1.93234 | − | 1.43936i | ||||
\(505\) | 3862.02i | 0.340312i | ||||||||
\(506\) | −11887.6 | − | 4283.62i | −1.04440 | − | 0.376344i | ||||
\(507\) | −1826.28 | + | 11102.9i | −0.159976 | + | 0.972574i | ||||
\(508\) | 28115.2 | + | 9135.18i | 2.45553 | + | 0.797851i | ||||
\(509\) | −1424.43 | − | 1960.56i | −0.124041 | − | 0.170728i | 0.742480 | − | 0.669868i | \(-0.233649\pi\) |
−0.866521 | + | 0.499140i | \(0.833649\pi\) | |||||||
\(510\) | −7785.20 | − | 7878.36i | −0.675950 | − | 0.684039i | ||||
\(511\) | 822.926 | + | 2532.71i | 0.0712409 | + | 0.219257i | ||||
\(512\) | −1613.37 | − | 4965.43i | −0.139260 | − | 0.428600i | ||||
\(513\) | −2161.79 | − | 4436.72i | −0.186053 | − | 0.381844i | ||||
\(514\) | 12988.8 | + | 17877.5i | 1.11461 | + | 1.53413i | ||||
\(515\) | 6476.77 | + | 2104.43i | 0.554176 | + | 0.180063i | ||||
\(516\) | 41917.0 | + | 6894.81i | 3.57615 | + | 0.588231i | ||||
\(517\) | 4672.17 | + | 6879.11i | 0.397450 | + | 0.585189i | ||||
\(518\) | 16230.8i | 1.37672i | ||||||||
\(519\) | −178.639 | − | 92.3633i | −0.0151086 | − | 0.00781175i | ||||
\(520\) | 2393.76 | − | 1739.17i | 0.201872 | − | 0.146668i | ||||
\(521\) | 630.385 | − | 867.651i | 0.0530090 | − | 0.0729606i | −0.781690 | − | 0.623668i | \(-0.785642\pi\) |
0.834699 | + | 0.550707i | \(0.185642\pi\) | |||||||
\(522\) | 244.400 | − | 20544.3i | 0.0204925 | − | 1.72261i | ||||
\(523\) | 6688.51 | − | 2173.23i | 0.559213 | − | 0.181699i | −0.0157541 | − | 0.999876i | \(-0.505015\pi\) |
0.574967 | + | 0.818177i | \(0.305015\pi\) | |||||||
\(524\) | 20529.7 | + | 14915.7i | 1.71153 | + | 1.24350i | ||||
\(525\) | −4628.97 | + | 2324.00i | −0.384809 | + | 0.193196i | ||||
\(526\) | −1025.63 | + | 3156.58i | −0.0850186 | + | 0.261660i | ||||
\(527\) | −1573.41 | −0.130055 | ||||||||
\(528\) | −29960.4 | + | 27785.3i | −2.46943 | + | 2.29015i | ||||
\(529\) | 8057.66 | 0.662255 | ||||||||
\(530\) | −2409.04 | + | 7414.26i | −0.197438 | + | 0.607651i | ||||
\(531\) | −3788.74 | − | 12150.5i | −0.309637 | − | 0.993005i | ||||
\(532\) | −8544.37 | − | 6207.85i | −0.696326 | − | 0.505911i | ||||
\(533\) | 1406.51 | − | 457.003i | 0.114302 | − | 0.0371388i | ||||
\(534\) | 919.537 | + | 6037.94i | 0.0745173 | + | 0.489302i | ||||
\(535\) | −2320.25 | + | 3193.55i | −0.187501 | + | 0.258073i | ||||
\(536\) | 47490.3 | − | 34503.7i | 3.82699 | − | 2.78047i | ||||
\(537\) | −4054.23 | + | 7841.23i | −0.325797 | + | 0.630119i | ||||
\(538\) | − | 46738.0i | − | 3.74539i | ||||||
\(539\) | −1446.83 | − | 4985.32i | −0.115620 | − | 0.398392i | ||||
\(540\) | 19400.2 | + | 10325.0i | 1.54602 | + | 0.822809i | ||||
\(541\) | 18022.4 | + | 5855.83i | 1.43224 | + | 0.465364i | 0.919470 | − | 0.393160i | \(-0.128618\pi\) |
0.512773 | + | 0.858524i | \(0.328618\pi\) | |||||||
\(542\) | −25774.7 | − | 35475.8i | −2.04265 | − | 2.81147i | ||||
\(543\) | −6853.09 | + | 6772.05i | −0.541610 | + | 0.535205i | ||||
\(544\) | −9803.48 | − | 30172.0i | −0.772648 | − | 2.37797i | ||||
\(545\) | −2115.00 | − | 6509.31i | −0.166233 | − | 0.511611i | ||||
\(546\) | 1588.90 | − | 1570.11i | 0.124540 | − | 0.123067i | ||||
\(547\) | −3292.69 | − | 4531.99i | −0.257377 | − | 0.354249i | 0.660701 | − | 0.750649i | \(-0.270259\pi\) |
−0.918078 | + | 0.396401i | \(0.870259\pi\) | |||||||
\(548\) | 23151.3 | + | 7522.30i | 1.80470 | + | 0.586381i | ||||
\(549\) | 5610.40 | − | 16592.8i | 0.436150 | − | 1.28991i | ||||
\(550\) | 3865.52 | + | 13319.4i | 0.299684 | + | 1.03262i | ||||
\(551\) | − | 4954.55i | − | 0.383069i | ||||||
\(552\) | −10903.6 | + | 21088.4i | −0.840736 | + | 1.62606i | ||||
\(553\) | −9835.18 | + | 7145.68i | −0.756301 | + | 0.549485i | ||||
\(554\) | 14374.7 | − | 19785.0i | 1.10238 | − | 1.51730i | ||||
\(555\) | −1226.20 | − | 8051.61i | −0.0937828 | − | 0.615805i | ||||
\(556\) | −28222.5 | + | 9170.05i | −2.15270 | + | 0.699455i | ||||
\(557\) | −14504.3 | − | 10538.0i | −1.10335 | − | 0.801630i | −0.121746 | − | 0.992561i | \(-0.538849\pi\) |
−0.981603 | + | 0.190931i | \(0.938849\pi\) | |||||||
\(558\) | 4105.50 | − | 1280.17i | 0.311469 | − | 0.0971217i | ||||
\(559\) | −669.535 | + | 2060.62i | −0.0506588 | + | 0.155912i | ||||
\(560\) | 22572.7 | 1.70334 | ||||||||
\(561\) | −7418.64 | + | 6880.06i | −0.558316 | + | 0.517783i | ||||
\(562\) | −16860.5 | −1.26551 | ||||||||
\(563\) | −2178.77 | + | 6705.58i | −0.163098 | + | 0.501965i | −0.998891 | − | 0.0470799i | \(-0.985008\pi\) |
0.835793 | + | 0.549045i | \(0.185008\pi\) | |||||||
\(564\) | 22430.6 | − | 11261.4i | 1.67464 | − | 0.840766i | ||||
\(565\) | −8505.40 | − | 6179.53i | −0.633318 | − | 0.460133i | ||||
\(566\) | −46354.2 | + | 15061.4i | −3.44242 | + | 1.11851i | ||||
\(567\) | 9743.79 | + | 3424.29i | 0.721695 | + | 0.253627i | ||||
\(568\) | −26652.1 | + | 36683.4i | −1.96883 | + | 2.70986i | ||||
\(569\) | −8149.66 | + | 5921.07i | −0.600442 | + | 0.436247i | −0.846036 | − | 0.533126i | \(-0.821017\pi\) |
0.245594 | + | 0.969373i | \(0.421017\pi\) | |||||||
\(570\) | 6484.75 | + | 3352.88i | 0.476520 | + | 0.246380i | ||||
\(571\) | 13087.6i | 0.959194i | 0.877489 | + | 0.479597i | \(0.159217\pi\) | ||||
−0.877489 | + | 0.479597i | \(0.840783\pi\) | |||||||
\(572\) | −2439.58 | − | 3591.93i | −0.178329 | − | 0.262564i | ||||
\(573\) | −1040.51 | − | 171.150i | −0.0758599 | − | 0.0124780i | ||||
\(574\) | 19169.6 | + | 6228.58i | 1.39394 | + | 0.452919i | ||||
\(575\) | 2651.13 | + | 3648.97i | 0.192278 | + | 0.264648i | ||||
\(576\) | 23212.9 | + | 32762.4i | 1.67917 | + | 2.36996i | ||||
\(577\) | 2041.54 | + | 6283.21i | 0.147297 | + | 0.453333i | 0.997299 | − | 0.0734457i | \(-0.0233996\pi\) |
−0.850002 | + | 0.526779i | \(0.823400\pi\) | |||||||
\(578\) | 3446.65 | + | 10607.7i | 0.248030 | + | 0.763359i | ||||
\(579\) | −12729.6 | − | 12882.0i | −0.913688 | − | 0.924622i | ||||
\(580\) | 12967.8 | + | 17848.6i | 0.928376 | + | 1.27780i | ||||
\(581\) | −2952.17 | − | 959.220i | −0.210803 | − | 0.0684942i | ||||
\(582\) | −7931.36 | + | 48218.7i | −0.564889 | + | 3.43424i | ||||
\(583\) | 6699.74 | + | 2414.21i | 0.475943 | + | 0.171503i | ||||
\(584\) | − | 13397.1i | − | 0.949275i | ||||||
\(585\) | −669.586 | + | 898.922i | −0.0473230 | + | 0.0635314i | ||||
\(586\) | −6363.97 | + | 4623.70i | −0.448624 | + | 0.325944i | ||||
\(587\) | −9175.51 | + | 12629.0i | −0.645168 | + | 0.887998i | −0.998878 | − | 0.0473573i | \(-0.984920\pi\) |
0.353710 | + | 0.935355i | \(0.384920\pi\) | |||||||
\(588\) | −15489.2 | + | 2358.89i | −1.08633 | + | 0.165441i | ||||
\(589\) | 986.286 | − | 320.464i | 0.0689970 | − | 0.0224185i | ||||
\(590\) | 15230.7 | + | 11065.7i | 1.06277 | + | 0.772151i | ||||
\(591\) | −10299.2 | − | 20514.1i | −0.716843 | − | 1.42782i | ||||
\(592\) | 14123.7 | − | 43468.3i | 0.980541 | − | 3.01779i | ||||
\(593\) | 1943.42 | 0.134581 | 0.0672905 | − | 0.997733i | \(-0.478565\pi\) | ||||
0.0672905 | + | 0.997733i | \(0.478565\pi\) | |||||||
\(594\) | 13759.7 | − | 23988.2i | 0.950448 | − | 1.65698i | ||||
\(595\) | 5589.35 | 0.385111 | ||||||||
\(596\) | 9111.37 | − | 28041.9i | 0.626202 | − | 1.92725i | ||||
\(597\) | 7825.50 | + | 15586.9i | 0.536476 | + | 1.06856i | ||||
\(598\) | −1573.69 | − | 1143.35i | −0.107613 | − | 0.0781857i | ||||
\(599\) | 16318.1 | − | 5302.08i | 1.11309 | − | 0.361665i | 0.305963 | − | 0.952043i | \(-0.401022\pi\) |
0.807126 | + | 0.590379i | \(0.201022\pi\) | |||||||
\(600\) | 25760.3 | − | 3923.11i | 1.75277 | − | 0.266934i | ||||
\(601\) | 7819.97 | − | 10763.3i | 0.530754 | − | 0.730520i | −0.456491 | − | 0.889728i | \(-0.650894\pi\) |
0.987245 | + | 0.159208i | \(0.0508940\pi\) | |||||||
\(602\) | −23890.1 | + | 17357.2i | −1.61742 | + | 1.17513i | ||||
\(603\) | −13284.1 | + | 17833.9i | −0.897129 | + | 1.20440i | ||||
\(604\) | 14302.8i | 0.963528i | ||||||||
\(605\) | −9530.89 | + | 2441.32i | −0.640472 | + | 0.164056i | ||||
\(606\) | 2380.70 | − | 14473.4i | 0.159586 | − | 0.970204i | ||||
\(607\) | 1744.53 | + | 566.831i | 0.116653 | + | 0.0379028i | 0.366762 | − | 0.930315i | \(-0.380466\pi\) |
−0.250109 | + | 0.968218i | \(0.580466\pi\) | |||||||
\(608\) | 12290.6 | + | 16916.5i | 0.819816 | + | 1.12838i | ||||
\(609\) | 7287.65 | + | 7374.86i | 0.484910 | + | 0.490713i | ||||
\(610\) | 8006.22 | + | 24640.6i | 0.531413 | + | 1.63552i | ||||
\(611\) | 395.585 | + | 1217.49i | 0.0261926 | + | 0.0806124i | ||||
\(612\) | 17654.7 | + | 24917.7i | 1.16610 | + | 1.64581i | ||||
\(613\) | −10607.4 | − | 14599.8i | −0.698903 | − | 0.961958i | −0.999965 | − | 0.00835339i | \(-0.997341\pi\) |
0.301062 | − | 0.953605i | \(-0.402659\pi\) | |||||||
\(614\) | −8229.72 | − | 2674.00i | −0.540920 | − | 0.175755i | ||||
\(615\) | −9979.99 | − | 1641.58i | −0.654361 | − | 0.107634i | ||||
\(616\) | 1167.61 | − | 36819.7i | 0.0763707 | − | 2.40829i | ||||
\(617\) | 20056.2i | 1.30864i | 0.756217 | + | 0.654321i | \(0.227045\pi\) | ||||
−0.756217 | + | 0.654321i | \(0.772955\pi\) | |||||||
\(618\) | −22975.3 | − | 11879.2i | −1.49548 | − | 0.773221i | ||||
\(619\) | −6280.72 | + | 4563.21i | −0.407825 | + | 0.296302i | −0.772720 | − | 0.634746i | \(-0.781105\pi\) |
0.364896 | + | 0.931048i | \(0.381105\pi\) | |||||||
\(620\) | −2714.30 | + | 3735.91i | −0.175821 | + | 0.241997i | ||||
\(621\) | 1565.17 | − | 8856.32i | 0.101140 | − | 0.572289i | ||||
\(622\) | −33905.4 | + | 11016.5i | −2.18566 | + | 0.710164i | ||||
\(623\) | −2493.47 | − | 1811.61i | −0.160351 | − | 0.116502i | ||||
\(624\) | −5621.56 | + | 2822.34i | −0.360645 | + | 0.181064i | ||||
\(625\) | −580.777 | + | 1787.45i | −0.0371698 | + | 0.114397i | ||||
\(626\) | −4054.88 | −0.258891 | ||||||||
\(627\) | 3249.06 | − | 5823.73i | 0.206945 | − | 0.370937i | ||||
\(628\) | −16882.3 | −1.07273 | ||||||||
\(629\) | 3497.24 | − | 10763.4i | 0.221692 | − | 0.682297i | ||||
\(630\) | −14584.3 | + | 4547.65i | −0.922306 | + | 0.287592i | ||||
\(631\) | 1148.65 | + | 834.545i | 0.0724678 | + | 0.0526509i | 0.623429 | − | 0.781880i | \(-0.285739\pi\) |
−0.550962 | + | 0.834531i | \(0.685739\pi\) | |||||||
\(632\) | 58165.3 | − | 18899.1i | 3.66091 | − | 1.18950i | ||||
\(633\) | −2112.50 | − | 13871.3i | −0.132645 | − | 0.870985i | ||||
\(634\) | −1347.19 | + | 1854.25i | −0.0843911 | + | 0.116154i | ||||
\(635\) | 8342.31 | − | 6061.04i | 0.521345 | − | 0.378780i | ||||
\(636\) | 9871.91 | − | 19093.1i | 0.615482 | − | 1.19040i | ||||
\(637\) | − | 799.118i | − | 0.0497052i | ||||||
\(638\) | 22965.7 | − | 15597.9i | 1.42511 | − | 0.967911i | ||||
\(639\) | 5502.03 | − | 16272.3i | 0.340621 | − | 1.00739i | ||||
\(640\) | −23055.8 | − | 7491.29i | −1.42400 | − | 0.462686i | ||||
\(641\) | 11896.7 | + | 16374.4i | 0.733061 | + | 1.00897i | 0.998988 | + | 0.0449785i | \(0.0143219\pi\) |
−0.265927 | + | 0.963993i | \(0.585678\pi\) | |||||||
\(642\) | 10664.1 | − | 10538.0i | 0.655574 | − | 0.647821i | ||||
\(643\) | −765.228 | − | 2355.13i | −0.0469326 | − | 0.144444i | 0.924844 | − | 0.380347i | \(-0.124195\pi\) |
−0.971777 | + | 0.235903i | \(0.924195\pi\) | |||||||
\(644\) | −5947.27 | − | 18303.8i | −0.363906 | − | 1.11999i | ||||
\(645\) | 10539.8 | − | 10415.2i | 0.643419 | − | 0.635811i | ||||
\(646\) | 5962.64 | + | 8206.87i | 0.363153 | + | 0.499837i | ||||
\(647\) | 761.738 | + | 247.504i | 0.0462859 | + | 0.0150392i | 0.332068 | − | 0.943255i | \(-0.392253\pi\) |
−0.285783 | + | 0.958295i | \(0.592253\pi\) | |||||||
\(648\) | −41296.1 | − | 31531.2i | −2.50350 | − | 1.91152i | ||||
\(649\) | 10544.4 | − | 13585.8i | 0.637756 | − | 0.821707i | ||||
\(650\) | 2135.02i | 0.128834i | ||||||||
\(651\) | −996.719 | + | 1927.74i | −0.0600069 | + | 0.116058i | ||||
\(652\) | 22065.9 | − | 16031.8i | 1.32541 | − | 0.962966i | ||||
\(653\) | 6682.11 | − | 9197.14i | 0.400446 | − | 0.551167i | −0.560410 | − | 0.828216i | \(-0.689356\pi\) |
0.960856 | + | 0.277049i | \(0.0893563\pi\) | |||||||
\(654\) | 3913.68 | + | 25698.3i | 0.234001 | + | 1.53652i | ||||
\(655\) | 8418.31 | − | 2735.27i | 0.502184 | − | 0.163169i | ||||
\(656\) | −45918.7 | − | 33361.9i | −2.73296 | − | 1.98561i | ||||
\(657\) | 1510.80 | + | 4845.13i | 0.0897136 | + | 0.287711i | ||||
\(658\) | −5391.50 | + | 16593.3i | −0.319426 | + | 0.983093i | ||||
\(659\) | −2528.95 | −0.149490 | −0.0747450 | − | 0.997203i | \(-0.523814\pi\) | ||||
−0.0747450 | + | 0.997203i | \(0.523814\pi\) | |||||||
\(660\) | 3538.10 | + | 29483.7i | 0.208667 | + | 1.73887i | ||||
\(661\) | −4948.69 | −0.291198 | −0.145599 | − | 0.989344i | \(-0.546511\pi\) | ||||
−0.145599 | + | 0.989344i | \(0.546511\pi\) | |||||||
\(662\) | −5433.08 | + | 16721.3i | −0.318977 | + | 0.981711i | ||||
\(663\) | −1391.98 | + | 698.854i | −0.0815387 | + | 0.0409370i | ||||
\(664\) | 12633.6 | + | 9178.83i | 0.738370 | + | 0.536458i | ||||
\(665\) | −3503.67 | + | 1138.41i | −0.204310 | + | 0.0663844i | ||||
\(666\) | −367.955 | + | 30930.4i | −0.0214084 | + | 1.79959i | ||||
\(667\) | 5306.84 | − | 7304.23i | 0.308068 | − | 0.424020i | ||||
\(668\) | −62596.6 | + | 45479.1i | −3.62565 | + | 2.63419i | ||||
\(669\) | 23253.7 | + | 12023.1i | 1.34386 | + | 0.694829i | ||||
\(670\) | − | 32893.4i | − | 1.89669i | ||||||
\(671\) | 22729.6 | − | 6596.52i | 1.30770 | − | 0.379517i | ||||
\(672\) | −43177.0 | − | 7102.07i | −2.47855 | − | 0.407691i | ||||
\(673\) | 17066.1 | + | 5545.12i | 0.977490 | + | 0.317606i | 0.753836 | − | 0.657063i | \(-0.228201\pi\) |
0.223654 | + | 0.974669i | \(0.428201\pi\) | |||||||
\(674\) | 7946.18 | + | 10937.0i | 0.454118 | + | 0.625040i | ||||
\(675\) | −8873.91 | + | 4323.81i | −0.506010 | + | 0.246553i | ||||
\(676\) | 14180.6 | + | 43643.3i | 0.806813 | + | 2.48312i | ||||
\(677\) | −8481.87 | − | 26104.5i | −0.481514 | − | 1.48195i | −0.836967 | − | 0.547253i | \(-0.815674\pi\) |
0.355454 | − | 0.934694i | \(-0.384326\pi\) | |||||||
\(678\) | 28065.9 | + | 28401.7i | 1.58977 | + | 1.60879i | ||||
\(679\) | −14494.7 | − | 19950.2i | −0.819228 | − | 1.12757i | ||||
\(680\) | −26742.4 | − | 8689.14i | −1.50813 | − | 0.490020i | ||||
\(681\) | 2107.01 | − | 12809.5i | 0.118562 | − | 0.720797i | ||||
\(682\) | 4590.46 | + | 3562.82i | 0.257739 | + | 0.200040i | ||||
\(683\) | − | 8064.57i | − | 0.451804i | −0.974150 | − | 0.225902i | \(-0.927467\pi\) | ||
0.974150 | − | 0.225902i | \(-0.0725330\pi\) | |||||||
\(684\) | −16141.9 | − | 12023.7i | −0.902342 | − | 0.672133i | ||||
\(685\) | 6869.42 | − | 4990.92i | 0.383163 | − | 0.278384i | ||||
\(686\) | 21834.0 | − | 30051.9i | 1.21520 | − | 1.67258i | ||||
\(687\) | −18593.3 | + | 2831.64i | −1.03258 | + | 0.157254i | ||||
\(688\) | 79084.6 | − | 25696.1i | 4.38237 | − | 1.42392i | ||||
\(689\) | 886.917 | + | 644.383i | 0.0490404 | + | 0.0356299i | ||||
\(690\) | 5968.84 | + | 11888.8i | 0.329319 | + | 0.655940i | ||||
\(691\) | −9561.09 | + | 29426.0i | −0.526369 | + | 1.62000i | 0.235223 | + | 0.971941i | \(0.424418\pi\) |
−0.761593 | + | 0.648056i | \(0.775582\pi\) | |||||||
\(692\) | −820.161 | −0.0450547 | ||||||||
\(693\) | 3729.90 | + | 13447.7i | 0.204455 | + | 0.737135i | ||||
\(694\) | −15856.3 | −0.867285 | ||||||||
\(695\) | −3198.64 | + | 9844.41i | −0.174578 | + | 0.537294i | ||||
\(696\) | −23403.1 | − | 46614.6i | −1.27456 | − | 2.53868i | ||||
\(697\) | −11370.2 | − | 8260.90i | −0.617899 | − | 0.448930i | ||||
\(698\) | −1862.89 | + | 605.291i | −0.101019 | + | 0.0328232i | ||||
\(699\) | −17949.2 | + | 2733.54i | −0.971247 | + | 0.147914i | ||||
\(700\) | −12416.4 | + | 17089.7i | −0.670421 | + | 0.922755i | ||||
\(701\) | 3733.33 | − | 2712.42i | 0.201149 | − | 0.146144i | −0.482651 | − | 0.875813i | \(-0.660326\pi\) |
0.683800 | + | 0.729669i | \(0.260326\pi\) | |||||||
\(702\) | 3063.50 | − | 2956.08i | 0.164707 | − | 0.158932i | ||||
\(703\) | 7459.30i | 0.400189i | ||||||||
\(704\) | −18392.6 | + | 51041.8i | −0.984656 | + | 2.73254i | ||||
\(705\) | 1420.96 | − | 8638.75i | 0.0759101 | − | 0.461495i | ||||
\(706\) | −32859.8 | − | 10676.8i | −1.75169 | − | 0.569159i | ||||
\(707\) | 4350.77 | + | 5988.32i | 0.231439 | + | 0.318549i | ||||
\(708\) | −36484.5 | − | 36921.1i | −1.93668 | − | 1.95986i | ||||
\(709\) | −4975.08 | − | 15311.7i | −0.263530 | − | 0.811062i | −0.992028 | − | 0.126015i | \(-0.959781\pi\) |
0.728498 | − | 0.685048i | \(-0.240219\pi\) | |||||||
\(710\) | 7851.57 | + | 24164.6i | 0.415020 | + | 1.27730i | ||||
\(711\) | −18904.5 | + | 13394.3i | −0.997150 | + | 0.706503i | ||||
\(712\) | 9113.76 | + | 12544.0i | 0.479709 | + | 0.660263i | ||||
\(713\) | 1797.28 | + | 583.971i | 0.0944020 | + | 0.0306731i | ||||
\(714\) | −20946.9 | − | 3445.50i | −1.09792 | − | 0.180594i | ||||
\(715\) | −1513.81 | − | 48.0054i | −0.0791795 | − | 0.00251091i | ||||
\(716\) | 36000.5i | 1.87905i | ||||||||
\(717\) | 24139.0 | + | 12480.8i | 1.25730 | + | 0.650076i | ||||
\(718\) | 27506.9 | − | 19984.9i | 1.42973 | − | 1.03876i | ||||
\(719\) | −5306.85 | + | 7304.25i | −0.275260 | + | 0.378863i | −0.924157 | − | 0.382014i | \(-0.875231\pi\) |
0.648897 | + | 0.760877i | \(0.275231\pi\) | |||||||
\(720\) | 43015.9 | + | 511.727i | 2.22654 | + | 0.0264874i | ||||
\(721\) | 12413.4 | − | 4033.37i | 0.641193 | − | 0.208336i | ||||
\(722\) | 24571.8 | + | 17852.5i | 1.26658 | + | 0.920222i | ||||
\(723\) | 21173.2 | − | 10630.1i | 1.08913 | − | 0.546803i | ||||
\(724\) | −12142.1 | + | 37369.7i | −0.623286 | + | 1.91828i | ||||
\(725\) | −9909.64 | −0.507634 | ||||||||
\(726\) | 37223.3 | − | 3274.00i | 1.90287 | − | 0.167368i | ||||
\(727\) | 17091.9 | 0.871942 | 0.435971 | − | 0.899961i | \(-0.356405\pi\) | ||||
0.435971 | + | 0.899961i | \(0.356405\pi\) | |||||||
\(728\) | 1752.42 | − | 5393.39i | 0.0892156 | − | 0.274577i | ||||
\(729\) | 18490.7 | + | 6746.42i | 0.939425 | + | 0.342753i | ||||
\(730\) | −6073.38 | − | 4412.57i | −0.307926 | − | 0.223721i | ||||
\(731\) | 19582.5 | − | 6362.75i | 0.990816 | − | 0.321936i | ||||
\(732\) | −10754.9 | − | 70619.8i | −0.543050 | − | 3.56582i | ||||
\(733\) | −13406.1 | + | 18451.9i | −0.675533 | + | 0.929792i | −0.999870 | − | 0.0161502i | \(-0.994859\pi\) |
0.324336 | + | 0.945942i | \(0.394859\pi\) | |||||||
\(734\) | 19171.0 | − | 13928.5i | 0.964053 | − | 0.700425i | ||||
\(735\) | −2510.04 | + | 4854.63i | −0.125965 | + | 0.243627i | ||||
\(736\) | 38103.5i | 1.90831i | ||||||||
\(737\) | −30032.9 | − | 952.390i | −1.50105 | − | 0.0476007i | ||||
\(738\) | 36389.5 | + | 12304.1i | 1.81506 | + | 0.613714i | ||||
\(739\) | −23652.9 | − | 7685.30i | −1.17738 | − | 0.382555i | −0.345989 | − | 0.938238i | \(-0.612457\pi\) |
−0.831394 | + | 0.555683i | \(0.812457\pi\) | |||||||
\(740\) | −19523.6 | − | 26871.9i | −0.969866 | − | 1.33491i | ||||
\(741\) | 730.221 | − | 721.586i | 0.0362015 | − | 0.0357734i | ||||
\(742\) | 4617.19 | + | 14210.2i | 0.228440 | + | 0.703065i | ||||
\(743\) | 565.119 | + | 1739.26i | 0.0279034 | + | 0.0858778i | 0.964038 | − | 0.265763i | \(-0.0856239\pi\) |
−0.936135 | + | 0.351641i | \(0.885624\pi\) | |||||||
\(744\) | 7765.67 | − | 7673.84i | 0.382666 | − | 0.378141i | ||||
\(745\) | −6045.24 | − | 8320.56i | −0.297289 | − | 0.409184i | ||||
\(746\) | −8817.52 | − | 2864.99i | −0.432751 | − | 0.140609i | ||||
\(747\) | −5604.09 | − | 1894.87i | −0.274488 | − | 0.0928108i | ||||
\(748\) | −13988.7 | + | 38820.3i | −0.683792 | + | 1.89761i | ||||
\(749\) | 7565.71i | 0.369085i | ||||||||
\(750\) | 18620.0 | − | 36012.7i | 0.906542 | − | 1.75333i | ||||
\(751\) | −7034.30 | + | 5110.72i | −0.341791 | + | 0.248326i | −0.745417 | − | 0.666598i | \(-0.767750\pi\) |
0.403626 | + | 0.914924i | \(0.367750\pi\) | |||||||
\(752\) | 28878.3 | − | 39747.5i | 1.40037 | − | 1.92745i | ||||
\(753\) | 5098.82 | + | 33480.3i | 0.246761 | + | 1.62031i | ||||
\(754\) | 4064.54 | − | 1320.65i | 0.196316 | − | 0.0637868i | ||||
\(755\) | 4036.19 | + | 2932.46i | 0.194559 | + | 0.141355i | ||||
\(756\) | 41713.0 | − | 5845.78i | 2.00673 | − | 0.281229i | ||||
\(757\) | 4020.03 | − | 12372.4i | 0.193012 | − | 0.594031i | −0.806982 | − | 0.590576i | \(-0.798900\pi\) |
0.999994 | − | 0.00345440i | \(-0.00109957\pi\) | |||||||
\(758\) | 14764.6 | 0.707487 | ||||||||
\(759\) | 11027.7 | − | 5105.54i | 0.527379 | − | 0.244163i | ||||
\(760\) | 18533.2 | 0.884563 | ||||||||
\(761\) | −4558.53 | + | 14029.7i | −0.217144 | + | 0.668300i | 0.781851 | + | 0.623466i | \(0.214276\pi\) |
−0.998994 | + | 0.0448341i | \(0.985724\pi\) | |||||||
\(762\) | −35000.2 | + | 17572.1i | −1.66394 | + | 0.835393i | ||||
\(763\) | −10612.5 | − | 7710.46i | −0.503538 | − | 0.365842i | ||||
\(764\) | −4090.03 | + | 1328.93i | −0.193681 | + | 0.0629307i | ||||
\(765\) | 10651.4 | + | 126.711i | 0.503401 | + | 0.00598858i | ||||
\(766\) | 41392.0 | − | 56971.2i | 1.95242 | − | 2.68727i | ||||
\(767\) | 2141.82 | − | 1556.12i | 0.100830 | − | 0.0732572i | ||||
\(768\) | 26874.2 | + | 13895.0i | 1.26268 | + | 0.652857i | ||||
\(769\) | 2101.80i | 0.0985601i | 0.998785 | + | 0.0492800i | \(0.0156927\pi\) | ||||
−0.998785 | + | 0.0492800i | \(0.984307\pi\) | |||||||
\(770\) | −16307.1 | − | 12656.5i | −0.763203 | − | 0.592349i | ||||
\(771\) | −20970.4 | − | 3449.37i | −0.979547 | − | 0.161123i | ||||
\(772\) | −70244.9 | − | 22824.0i | −3.27483 | − | 1.06406i | ||||
\(773\) | −5886.70 | − | 8102.35i | −0.273907 | − | 0.377000i | 0.649797 | − | 0.760108i | \(-0.274854\pi\) |
−0.923704 | + | 0.383107i | \(0.874854\pi\) | |||||||
\(774\) | −45919.8 | + | 32535.2i | −2.13250 | + | 1.51092i | ||||
\(775\) | −640.962 | − | 1972.68i | −0.0297084 | − | 0.0914331i | ||||
\(776\) | 38335.9 | + | 117986.i | 1.77343 | + | 5.45805i | ||||
\(777\) | −10971.9 | − | 11103.2i | −0.506582 | − | 0.512644i | ||||
\(778\) | −21885.7 | − | 30123.1i | −1.00854 | − | 1.38813i | ||||
\(779\) | 8809.88 | + | 2862.50i | 0.405195 | + | 0.131656i | ||||
\(780\) | −741.958 | + | 4510.73i | −0.0340594 | + | 0.207064i | ||||
\(781\) | 22290.5 | − | 6469.11i | 1.02128 | − | 0.296393i | ||||
\(782\) | 18485.6i | 0.845322i | ||||||||
\(783\) | 13720.6 | + | 14219.2i | 0.626224 | + | 0.648981i | ||||
\(784\) | −24812.1 | + | 18027.0i | −1.13029 | + | 0.821202i | ||||
\(785\) | −3461.34 | + | 4764.12i | −0.157376 | + | 0.216610i | ||||
\(786\) | −33234.9 | + | 5061.45i | −1.50821 | + | 0.229689i | ||||
\(787\) | −33986.5 | + | 11042.9i | −1.53938 | + | 0.500174i | −0.951204 | − | 0.308563i | \(-0.900152\pi\) |
−0.588172 | + | 0.808736i | \(0.700152\pi\) | |||||||
\(788\) | −75736.1 | − | 55025.5i | −3.42384 | − | 2.48756i | ||||
\(789\) | −1432.20 | − | 2852.67i | −0.0646231 | − | 0.128717i | ||||
\(790\) | 10590.1 | − | 32593.1i | 0.476937 | − | 1.46786i | ||||
\(791\) | −20149.8 | −0.905744 | ||||||||
\(792\) | 3059.77 | − | 70139.3i | 0.137278 | − | 3.14683i | ||||
\(793\) | 3643.41 | 0.163154 | ||||||||
\(794\) | 7563.81 | − | 23279.0i | 0.338072 | − | 1.04048i | ||||
\(795\) | −3363.99 | − | 6700.43i | −0.150074 | − | 0.298918i | ||||
\(796\) | 57545.2 | + | 41809.1i | 2.56236 | + | 1.86166i | ||||
\(797\) | −23407.2 | + | 7605.46i | −1.04031 | + | 0.338016i | −0.778858 | − | 0.627201i | \(-0.784201\pi\) |
−0.261450 | + | 0.965217i | \(0.584201\pi\) | |||||||
\(798\) | 13832.2 | − | 2106.55i | 0.613604 | − | 0.0934476i | ||||
\(799\) | 7150.69 | − | 9842.09i | 0.316612 | − | 0.435780i | ||||
\(800\) | 33834.8 | − | 24582.4i | 1.49530 | − | 1.08640i | ||||
\(801\) | −4710.63 | − | 3508.84i | −0.207792 | − | 0.154780i | ||||
\(802\) | − | 38490.4i | − | 1.69469i | ||||||
\(803\) | −4204.69 | + | 5417.46i | −0.184782 | + | 0.238080i | ||||
\(804\) | −14719.9 | + | 89489.4i | −0.645684 | + | 3.92543i | ||||
\(805\) | −6384.62 | − | 2074.49i | −0.279538 | − | 0.0908275i | ||||
\(806\) | 525.795 | + | 723.694i | 0.0229781 | + | 0.0316266i | ||||
\(807\) | 31594.4 | + | 31972.5i | 1.37816 | + | 1.39465i | ||||
\(808\) | −11507.0 | − | 35415.0i | −0.501009 | − | 1.54195i | ||||
\(809\) | −5083.31 | − | 15644.8i | −0.220914 | − | 0.679904i | −0.998681 | − | 0.0513509i | \(-0.983647\pi\) |
0.777766 | − | 0.628554i | \(-0.216353\pi\) | |||||||
\(810\) | −27895.8 | + | 8335.64i | −1.21007 | + | 0.361586i | ||||
\(811\) | 13344.3 | + | 18366.9i | 0.577783 | + | 0.795250i | 0.993450 | − | 0.114267i | \(-0.0364518\pi\) |
−0.415667 | + | 0.909517i | \(0.636452\pi\) | |||||||
\(812\) | 40214.9 | + | 13066.6i | 1.73801 | + | 0.564714i | ||||
\(813\) | 41613.2 | + | 6844.84i | 1.79513 | + | 0.295276i | ||||
\(814\) | −34575.9 | + | 23483.4i | −1.48880 | + | 1.01117i | ||||
\(815\) | − | 9513.87i | − | 0.408903i | ||||||
\(816\) | 53100.3 | + | 27455.0i | 2.27804 | + | 1.17784i | ||||
\(817\) | −10979.3 | + | 7976.94i | −0.470156 | + | 0.341588i | ||||
\(818\) | 39961.2 | − | 55001.8i | 1.70808 | − | 2.35097i | ||||
\(819\) | −25.5551 | + | 2148.16i | −0.00109031 | + | 0.0916519i | ||||
\(820\) | −39229.5 | + | 12746.4i | −1.67067 | + | 0.542835i | ||||
\(821\) | −16389.0 | − | 11907.3i | −0.696689 | − | 0.506174i | 0.182163 | − | 0.983268i | \(-0.441690\pi\) |
−0.878852 | + | 0.477094i | \(0.841690\pi\) | |||||||
\(822\) | −28820.7 | + | 14469.6i | −1.22292 | + | 0.613973i | ||||
\(823\) | −1771.33 | + | 5451.58i | −0.0750238 | + | 0.230899i | −0.981535 | − | 0.191282i | \(-0.938735\pi\) |
0.906511 | + | 0.422181i | \(0.138735\pi\) | |||||||
\(824\) | −65662.7 | −2.77605 | ||||||||
\(825\) | −11648.1 | − | 6498.46i | −0.491557 | − | 0.274239i | ||||
\(826\) | 36082.3 | 1.51993 | ||||||||
\(827\) | −10556.4 | + | 32489.1i | −0.443870 | + | 1.36609i | 0.439849 | + | 0.898072i | \(0.355032\pi\) |
−0.883718 | + | 0.468019i | \(0.844968\pi\) | |||||||
\(828\) | −10918.5 | − | 35015.6i | −0.458266 | − | 1.46966i | ||||
\(829\) | 1926.81 | + | 1399.91i | 0.0807250 | + | 0.0586501i | 0.627416 | − | 0.778684i | \(-0.284113\pi\) |
−0.546691 | + | 0.837335i | \(0.684113\pi\) | |||||||
\(830\) | 8322.17 | − | 2704.04i | 0.348032 | − | 0.113083i | ||||
\(831\) | 3541.07 | + | 23251.7i | 0.147820 | + | 0.970627i | ||||
\(832\) | −4909.21 | + | 6756.95i | −0.204563 | + | 0.281557i | ||||
\(833\) | −6143.85 | + | 4463.77i | −0.255548 | + | 0.185667i | ||||
\(834\) | 18055.8 | − | 34921.5i | 0.749667 | − | 1.44992i | ||||
\(835\) | 26989.0i | 1.11855i | ||||||||
\(836\) | 862.032 | − | 27183.5i | 0.0356627 | − | 1.12459i | ||||
\(837\) | −1943.11 | + | 3651.01i | −0.0802432 | + | 0.150774i | ||||
\(838\) | 39995.9 | + | 12995.5i | 1.64873 | + | 0.535705i | ||||
\(839\) | −7010.52 | − | 9649.15i | −0.288474 | − | 0.397051i | 0.640044 | − | 0.768339i | \(-0.278916\pi\) |
−0.928518 | + | 0.371288i | \(0.878916\pi\) | |||||||
\(840\) | −27586.6 | + | 27260.4i | −1.13313 | + | 1.11973i | ||||
\(841\) | −1406.84 | − | 4329.81i | −0.0576834 | − | 0.177531i | ||||
\(842\) | 5583.59 | + | 17184.5i | 0.228531 | + | 0.703347i | ||||
\(843\) | 11533.9 | − | 11397.5i | 0.471233 | − | 0.465661i | ||||
\(844\) | −33635.1 | − | 46294.8i | −1.37176 | − | 1.88807i | ||||
\(845\) | 15223.4 | + | 4946.37i | 0.619763 | + | 0.201373i | ||||
\(846\) | −10650.5 | + | 31499.0i | −0.432828 | + | 1.28009i | ||||
\(847\) | −12028.0 | + | 14522.5i | −0.487942 | + | 0.589137i | ||||
\(848\) | − | 42074.6i | − | 1.70383i | ||||||
\(849\) | 21528.6 | − | 41638.2i | 0.870271 | − | 1.68318i | ||||
\(850\) | 16414.6 | − | 11925.9i | 0.662373 | − | 0.481242i | ||||
\(851\) | −7989.68 | + | 10996.8i | −0.321836 | + | 0.442970i | ||||
\(852\) | −10547.2 | − | 69255.7i | −0.424108 | − | 2.78481i | ||||
\(853\) | 4303.27 | − | 1398.22i | 0.172733 | − | 0.0561243i | −0.221374 | − | 0.975189i | \(-0.571054\pi\) |
0.394107 | + | 0.919065i | \(0.371054\pi\) | |||||||
\(854\) | 40173.1 | + | 29187.5i | 1.60972 | + | 1.16953i | ||||
\(855\) | −6702.60 | + | 2089.99i | −0.268098 | + | 0.0835979i | ||||
\(856\) | 11761.6 | − | 36198.4i | 0.469628 | − | 1.44537i | ||||
\(857\) | 20532.5 | 0.818410 | 0.409205 | − | 0.912442i | \(-0.365806\pi\) | ||||
0.409205 | + | 0.912442i | \(0.365806\pi\) | |||||||
\(858\) | 5643.63 | + | 1113.08i | 0.224558 | + | 0.0442890i | ||||
\(859\) | −36011.2 | −1.43037 | −0.715185 | − | 0.698935i | \(-0.753658\pi\) | ||||
−0.715185 | + | 0.698935i | \(0.753658\pi\) | |||||||
\(860\) | 18674.2 | − | 57473.3i | 0.740448 | − | 2.27887i | ||||
\(861\) | −17324.0 | + | 8697.61i | −0.685714 | + | 0.344267i | ||||
\(862\) | −291.941 | − | 212.108i | −0.0115355 | − | 0.00838100i | ||||
\(863\) | 40265.7 | − | 13083.1i | 1.58825 | − | 0.516055i | 0.624087 | − | 0.781355i | \(-0.285471\pi\) |
0.964166 | + | 0.265301i | \(0.0854712\pi\) | |||||||
\(864\) | −82119.6 | − | 14512.9i | −3.23352 | − | 0.571459i | ||||
\(865\) | −168.156 | + | 231.447i | −0.00660979 | + | 0.00909759i | ||||
\(866\) | 4303.32 | − | 3126.54i | 0.168860 | − | 0.122684i | ||||
\(867\) | −9528.47 | − | 4926.60i | −0.373245 | − | 0.192983i | ||||
\(868\) | 8850.59i | 0.346093i | ||||||||
\(869\) | −29452.1 | − | 10612.9i | −1.14970 | − | 0.414289i | ||||
\(870\) | −28840.2 | − | 4743.85i | −1.12388 | − | 0.184864i | ||||
\(871\) | −4399.25 | − | 1429.40i | −0.171140 | − | 0.0556067i | ||||
\(872\) | 38789.4 | + | 53389.1i | 1.50639 | + | 2.07337i | ||||
\(873\) | −27169.7 | − | 38346.9i | −1.05333 | − | 1.48665i | ||||
\(874\) | −3765.04 | − | 11587.6i | −0.145714 | − | 0.448463i | ||||
\(875\) | 6322.10 | + | 19457.4i | 0.244258 | + | 0.751749i | ||||
\(876\) | 14548.5 | + | 14722.7i | 0.561130 | + | 0.567845i | ||||
\(877\) | 25263.3 | + | 34771.9i | 0.972725 | + | 1.33884i | 0.940658 | + | 0.339355i | \(0.110209\pi\) |
0.0320663 | + | 0.999486i | \(0.489791\pi\) | |||||||
\(878\) | 3802.13 | + | 1235.39i | 0.146145 | + | 0.0474855i | ||||
\(879\) | 1227.89 | − | 7464.96i | 0.0471169 | − | 0.286447i | ||||
\(880\) | 32659.1 | + | 48085.8i | 1.25106 | + | 1.84201i | ||||
\(881\) | − | 2140.92i | − | 0.0818723i | −0.999162 | − | 0.0409361i | \(-0.986966\pi\) | ||
0.999162 | − | 0.0409361i | \(-0.0130340\pi\) | |||||||
\(882\) | 12399.3 | − | 16646.1i | 0.473363 | − | 0.635492i | ||||
\(883\) | 19970.5 | − | 14509.4i | 0.761111 | − | 0.552979i | −0.138140 | − | 0.990413i | \(-0.544112\pi\) |
0.899251 | + | 0.437433i | \(0.144112\pi\) | |||||||
\(884\) | −3733.75 | + | 5139.06i | −0.142058 | + | 0.195526i | ||||
\(885\) | −17899.3 | + | 2725.94i | −0.679863 | + | 0.103538i | ||||
\(886\) | 19822.4 | − | 6440.70i | 0.751635 | − | 0.244221i | ||||
\(887\) | 3908.28 | + | 2839.53i | 0.147945 | + | 0.107488i | 0.659296 | − | 0.751884i | \(-0.270855\pi\) |
−0.511350 | + | 0.859372i | \(0.670855\pi\) | |||||||
\(888\) | 35234.4 | + | 70180.3i | 1.33152 | + | 2.65213i | ||||
\(889\) | 6107.23 | − | 18796.1i | 0.230405 | − | 0.709113i | ||||
\(890\) | 8688.42 | 0.327232 | ||||||||
\(891\) | 6803.05 | + | 25711.2i | 0.255792 | + | 0.966732i | ||||
\(892\) | 106762. | 4.00746 | ||||||||
\(893\) | −2477.80 | + | 7625.89i | −0.0928516 | + | 0.285768i | ||||
\(894\) | 17526.3 | + | 34909.0i | 0.655667 | + | 1.30596i | ||||
\(895\) | 10159.2 | + | 7381.09i | 0.379424 | + | 0.275668i | ||||
\(896\) | −44189.0 | + | 14357.9i | −1.64760 | + | 0.535338i | ||||
\(897\) | 1849.42 | − | 281.654i | 0.0688409 | − | 0.0104840i | ||||
\(898\) | −48562.3 | + | 66840.3i | −1.80462 | + | 2.48384i | ||||
\(899\) | −3359.01 | + | 2440.47i | −0.124616 | + | 0.0905385i | ||||
\(900\) | −24048.8 | + | 32285.6i | −0.890695 | + | 1.19576i | ||||
\(901\) | − | 10418.3i | − | 0.385221i | ||||||
\(902\) | 14466.8 | + | 49848.0i | 0.534025 | + | 1.84008i | ||||
\(903\) | 4609.45 | − | 28023.2i | 0.169870 | − | 1.03273i | ||||
\(904\) | 96407.2 | + | 31324.6i | 3.54697 | + | 1.15248i | ||||
\(905\) | 8056.11 | + | 11088.3i | 0.295905 | + | 0.407279i | ||||
\(906\) | −13318.5 | − | 13477.9i | −0.488385 | − | 0.494230i | ||||
\(907\) | −12729.8 | − | 39178.3i | −0.466026 | − | 1.43428i | −0.857688 | − | 0.514171i | \(-0.828100\pi\) |
0.391662 | − | 0.920109i | \(-0.371900\pi\) | |||||||
\(908\) | −16360.3 | − | 50351.9i | −0.597948 | − | 1.84029i | ||||
\(909\) | 8155.32 | + | 11510.3i | 0.297574 | + | 0.419993i | ||||
\(910\) | −1867.82 | − | 2570.84i | −0.0680415 | − | 0.0936511i | ||||
\(911\) | −34414.3 | − | 11181.9i | −1.25159 | − | 0.406666i | −0.393099 | − | 0.919496i | \(-0.628597\pi\) |
−0.858490 | + | 0.512831i | \(0.828597\pi\) | |||||||
\(912\) | −38877.6 | − | 6394.87i | −1.41159 | − | 0.232188i | ||||
\(913\) | −2227.93 | − | 7676.74i | −0.0807597 | − | 0.278273i | ||||
\(914\) | − | 53982.9i | − | 1.95361i | ||||||
\(915\) | −22133.7 | − | 11444.0i | −0.799691 | − | 0.413472i | ||||
\(916\) | −62054.4 | + | 45085.2i | −2.23836 | + | 1.62626i | ||||
\(917\) | 9971.73 | − | 13724.9i | 0.359101 | − | 0.494260i | ||||
\(918\) | −39839.5 | − | 7040.81i | −1.43235 | − | 0.253139i | ||||
\(919\) | 50107.6 | − | 16280.9i | 1.79858 | − | 0.584395i | 0.798732 | − | 0.601688i | \(-0.205505\pi\) |
0.999850 | + | 0.0172928i | \(0.00550476\pi\) | |||||||
\(920\) | 27322.4 | + | 19850.9i | 0.979124 | + | 0.711375i | ||||
\(921\) | 7437.38 | − | 3733.98i | 0.266091 | − | 0.133593i | ||||
\(922\) | −15346.9 | + | 47232.8i | −0.548181 | + | 1.68713i | ||||
\(923\) | 3573.04 | 0.127419 | ||||||||
\(924\) | 38701.1 | + | 41730.6i | 1.37789 | + | 1.48575i | ||||
\(925\) | 14919.4 | 0.530321 | ||||||||
\(926\) | −20284.9 | + | 62430.6i | −0.719875 | + | 2.21555i | ||||
\(927\) | 23747.2 | − | 7404.80i | 0.841380 | − | 0.262358i | ||||
\(928\) | −67728.0 | − | 49207.3i | −2.39578 | − | 1.74063i | ||||
\(929\) | 34582.4 | − | 11236.5i | 1.22133 | − | 0.396833i | 0.373761 | − | 0.927525i | \(-0.378068\pi\) |
0.847564 | + | 0.530693i | \(0.178068\pi\) | |||||||
\(930\) | −921.063 | − | 6047.96i | −0.0324762 | − | 0.213248i | ||||
\(931\) | 2942.09 | − | 4049.44i | 0.103569 | − | 0.142551i | ||||
\(932\) | −59904.7 | + | 43523.3i | −2.10541 | + | 1.52967i | ||||
\(933\) | 15746.9 | − | 30455.9i | 0.552552 | − | 1.06868i | ||||
\(934\) | 49028.6i | 1.71763i | ||||||||
\(935\) | 8086.88 | + | 11906.8i | 0.282855 | + | 0.416463i | ||||
\(936\) | 3461.78 | − | 10238.2i | 0.120889 | − | 0.357529i | ||||
\(937\) | −14789.2 | − | 4805.29i | −0.515626 | − | 0.167537i | 0.0396335 | − | 0.999214i | \(-0.487381\pi\) |
−0.555259 | + | 0.831677i | \(0.687381\pi\) | |||||||
\(938\) | −37056.2 | − | 51003.5i | −1.28990 | − | 1.77540i | ||||
\(939\) | 2773.86 | − | 2741.06i | 0.0964021 | − | 0.0952621i | ||||
\(940\) | −11033.4 | − | 33957.3i | −0.382840 | − | 1.17826i | ||||
\(941\) | −8792.81 | − | 27061.5i | −0.304609 | − | 0.937491i | −0.979823 | − | 0.199869i | \(-0.935948\pi\) |
0.675213 | − | 0.737623i | \(-0.264052\pi\) | |||||||
\(942\) | 15908.6 | − | 15720.5i | 0.550246 | − | 0.543739i | ||||
\(943\) | 9921.90 | + | 13656.3i | 0.342632 | + | 0.471592i | ||||
\(944\) | −96633.1 | − | 31398.0i | −3.33172 | − | 1.08254i | ||||
\(945\) | 6902.66 | − | 12969.8i | 0.237612 | − | 0.446463i | ||||
\(946\) | −71540.4 | − | 25779.2i | −2.45875 | − | 0.885997i | ||||
\(947\) | 8834.24i | 0.303141i | 0.988446 | + | 0.151570i | \(0.0484330\pi\) | ||||
−0.988446 | + | 0.151570i | \(0.951567\pi\) | |||||||
\(948\) | −43396.9 | + | 83933.4i | −1.48678 | + | 2.87556i | ||||
\(949\) | −854.072 | + | 620.519i | −0.0292143 | + | 0.0212254i | ||||
\(950\) | −7860.44 | + | 10819.0i | −0.268449 | + | 0.369488i | ||||
\(951\) | −331.869 | − | 2179.15i | −0.0113161 | − | 0.0743046i | ||||
\(952\) | −51254.7 | + | 16653.7i | −1.74493 | + | 0.566963i | ||||
\(953\) | 22612.1 | + | 16428.7i | 0.768603 | + | 0.558423i | 0.901537 | − | 0.432702i | \(-0.142440\pi\) |
−0.132934 | + | 0.991125i | \(0.542440\pi\) | |||||||
\(954\) | 8476.63 | + | 27184.5i | 0.287674 | + | 0.922569i | ||||
\(955\) | −463.550 | + | 1426.66i | −0.0157069 | + | 0.0483410i | ||||
\(956\) | 110826. | 3.74935 | ||||||||
\(957\) | −5166.34 | + | 26194.8i | −0.174508 | + | 0.884805i | ||||
\(958\) | −84668.1 | −2.85543 | ||||||||
\(959\) | 5028.96 | − | 15477.5i | 0.169336 | − | 0.521163i | ||||
\(960\) | 51047.1 | − | 25628.5i | 1.71619 | − | 0.861621i | ||||
\(961\) | 23398.3 | + | 16999.9i | 0.785417 | + | 0.570639i | ||||
\(962\) | −6119.35 | + | 1988.30i | −0.205089 | + | 0.0666375i | ||||
\(963\) | −171.516 | + | 14417.6i | −0.00573937 | + | 0.482453i | ||||
\(964\) | 56793.2 | − | 78169.2i | 1.89750 | − | 2.61168i | ||||
\(965\) | −20843.0 | + | 15143.3i | −0.695295 | + | 0.505161i | ||||
\(966\) | 22648.5 | + | 11710.2i | 0.754351 | + | 0.390030i | ||||
\(967\) | − | 7923.80i | − | 0.263508i | −0.991282 | − | 0.131754i | \(-0.957939\pi\) | ||
0.991282 | − | 0.131754i | \(-0.0420609\pi\) | |||||||
\(968\) | 80124.9 | − | 50784.7i | 2.66045 | − | 1.68624i | ||||
\(969\) | −9626.68 | − | 1583.47i | −0.319147 | − | 0.0524957i | ||||
\(970\) | 66113.7 | + | 21481.6i | 2.18844 | + | 0.711066i | ||||
\(971\) | −13693.1 | − | 18846.9i | −0.452556 | − | 0.622890i | 0.520388 | − | 0.853930i | \(-0.325787\pi\) |
−0.972944 | + | 0.231040i | \(0.925787\pi\) | |||||||
\(972\) | 79623.2 | − | 10194.4i | 2.62749 | − | 0.336406i | ||||
\(973\) | 6130.54 | + | 18867.9i | 0.201990 | + | 0.621661i | ||||
\(974\) | −15215.5 | − | 46828.4i | −0.500549 | − | 1.54053i | ||||
\(975\) | −1443.25 | − | 1460.52i | −0.0474061 | − | 0.0479734i | ||||
\(976\) | −82190.6 | − | 113126.i | −2.69555 | − | 3.71011i | ||||
\(977\) | 18276.8 | + | 5938.49i | 0.598492 | + | 0.194462i | 0.592568 | − | 0.805521i | \(-0.298114\pi\) |
0.00592428 | + | 0.999982i | \(0.498114\pi\) | |||||||
\(978\) | −5864.72 | + | 35654.6i | −0.191752 | + | 1.16575i | ||||
\(979\) | 251.563 | − | 7932.84i | 0.00821245 | − | 0.258973i | ||||
\(980\) | 22288.5i | 0.726509i | ||||||||
\(981\) | −20049.1 | − | 14934.1i | −0.652515 | − | 0.486044i | ||||
\(982\) | −13120.1 | + | 9532.32i | −0.426354 | + | 0.309764i | ||||
\(983\) | −3521.09 | + | 4846.36i | −0.114248 | + | 0.157248i | −0.862311 | − | 0.506379i | \(-0.830984\pi\) |
0.748064 | + | 0.663627i | \(0.230984\pi\) | |||||||
\(984\) | 96408.4 | − | 14682.3i | 3.12336 | − | 0.475666i | ||||
\(985\) | −31056.0 | + | 10090.7i | −1.00459 | + | 0.326413i | ||||
\(986\) | −32857.6 | − | 23872.4i | −1.06126 | − | 0.771047i | ||||
\(987\) | −7528.71 | − | 14995.8i | −0.242798 | − | 0.483607i | ||||
\(988\) | 1293.79 | − | 3981.87i | 0.0416608 | − | 0.128219i | ||||
\(989\) | −24730.3 | −0.795126 | ||||||||
\(990\) | −30788.8 | − | 24488.7i | −0.988416 | − | 0.786163i | ||||
\(991\) | 22548.8 | 0.722792 | 0.361396 | − | 0.932413i | \(-0.382300\pi\) | ||||
0.361396 | + | 0.932413i | \(0.382300\pi\) | |||||||
\(992\) | 5414.83 | − | 16665.1i | 0.173308 | − | 0.533386i | ||||
\(993\) | −7586.78 | − | 15111.4i | −0.242456 | − | 0.482927i | ||||
\(994\) | 39397.2 | + | 28623.7i | 1.25715 | + | 0.913369i | ||||
\(995\) | 23596.7 | − | 7667.04i | 0.751825 | − | 0.244283i | ||||
\(996\) | −23851.3 | + | 3632.39i | −0.758792 | + | 0.115559i | ||||
\(997\) | −36084.9 | + | 49666.6i | −1.14626 | + | 1.57769i | −0.393595 | + | 0.919284i | \(0.628769\pi\) |
−0.752663 | + | 0.658406i | \(0.771231\pi\) | |||||||
\(998\) | 37740.1 | − | 27419.8i | 1.19704 | − | 0.869698i | ||||
\(999\) | −20656.9 | − | 21407.6i | −0.654211 | − | 0.677984i |
(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 | 33.4.f.a.2.1 | ✓ | 40 | |
3.2 | odd | 2 | inner | 33.4.f.a.2.10 | yes | 40 | |
11.4 | even | 5 | 363.4.d.d.362.1 | 40 | |||
11.6 | odd | 10 | inner | 33.4.f.a.17.10 | yes | 40 | |
11.7 | odd | 10 | 363.4.d.d.362.39 | 40 | |||
33.17 | even | 10 | inner | 33.4.f.a.17.1 | yes | 40 | |
33.26 | odd | 10 | 363.4.d.d.362.40 | 40 | |||
33.29 | even | 10 | 363.4.d.d.362.2 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.4.f.a.2.1 | ✓ | 40 | 1.1 | even | 1 | trivial | |
33.4.f.a.2.10 | yes | 40 | 3.2 | odd | 2 | inner | |
33.4.f.a.17.1 | yes | 40 | 33.17 | even | 10 | inner | |
33.4.f.a.17.10 | yes | 40 | 11.6 | odd | 10 | inner | |
363.4.d.d.362.1 | 40 | 11.4 | even | 5 | |||
363.4.d.d.362.2 | 40 | 33.29 | even | 10 | |||
363.4.d.d.362.39 | 40 | 11.7 | odd | 10 | |||
363.4.d.d.362.40 | 40 | 33.26 | odd | 10 |