Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,4,Mod(8,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([12]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.8");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.e (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.89109359028\) |
Analytic rank: | \(0\) |
Dimension: | \(78\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 43.9 | ||
Character | \(\chi\) | \(=\) | 49.43 |
Dual form | 49.4.e.a.8.9 |
$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.777062 | − | 0.974405i | 0.274733 | − | 0.344504i | −0.625254 | − | 0.780421i | \(-0.715005\pi\) |
0.899987 | + | 0.435917i | \(0.143576\pi\) | |||||||
\(3\) | −0.189548 | − | 0.0912813i | −0.0364784 | − | 0.0175671i | 0.415556 | − | 0.909568i | \(-0.363587\pi\) |
−0.452034 | + | 0.892001i | \(0.649301\pi\) | |||||||
\(4\) | 1.43453 | + | 6.28508i | 0.179316 | + | 0.785635i | ||||
\(5\) | 7.66912 | + | 3.69325i | 0.685947 | + | 0.330335i | 0.744190 | − | 0.667968i | \(-0.232836\pi\) |
−0.0582431 | + | 0.998302i | \(0.518550\pi\) | |||||||
\(6\) | −0.236235 | + | 0.113765i | −0.0160738 | + | 0.00774071i | ||||
\(7\) | 18.3768 | − | 2.30053i | 0.992255 | − | 0.124217i | ||||
\(8\) | 16.2220 | + | 7.81211i | 0.716919 | + | 0.345250i | ||||
\(9\) | −16.8066 | − | 21.0748i | −0.622468 | − | 0.780550i | ||||
\(10\) | 9.55811 | − | 4.60294i | 0.302254 | − | 0.145558i | ||||
\(11\) | 2.58443 | − | 3.24077i | 0.0708394 | − | 0.0888299i | −0.745149 | − | 0.666898i | \(-0.767622\pi\) |
0.815989 | + | 0.578068i | \(0.196193\pi\) | |||||||
\(12\) | 0.301799 | − | 1.32227i | 0.00726015 | − | 0.0318088i | ||||
\(13\) | −11.7770 | + | 14.7678i | −0.251257 | + | 0.315066i | −0.891425 | − | 0.453169i | \(-0.850293\pi\) |
0.640168 | + | 0.768235i | \(0.278865\pi\) | |||||||
\(14\) | 12.0383 | − | 19.6941i | 0.229812 | − | 0.375962i | ||||
\(15\) | −1.11654 | − | 1.40009i | −0.0192193 | − | 0.0241002i | ||||
\(16\) | −26.2486 | + | 12.6407i | −0.410135 | + | 0.197510i | ||||
\(17\) | −4.87109 | + | 21.3416i | −0.0694948 | + | 0.304477i | −0.997716 | − | 0.0675529i | \(-0.978481\pi\) |
0.928221 | + | 0.372030i | \(0.121338\pi\) | |||||||
\(18\) | −33.5952 | −0.439915 | ||||||||
\(19\) | −46.4772 | −0.561190 | −0.280595 | − | 0.959826i | \(-0.590532\pi\) | ||||
−0.280595 | + | 0.959826i | \(0.590532\pi\) | |||||||
\(20\) | −12.2108 | + | 53.4991i | −0.136521 | + | 0.598138i | ||||
\(21\) | −3.69328 | − | 1.24140i | −0.0383780 | − | 0.0128998i | ||||
\(22\) | −1.14956 | − | 5.03655i | −0.0111403 | − | 0.0488089i | ||||
\(23\) | −18.3535 | − | 80.4119i | −0.166390 | − | 0.729002i | −0.987420 | − | 0.158117i | \(-0.949458\pi\) |
0.821030 | − | 0.570884i | \(-0.193400\pi\) | |||||||
\(24\) | −2.36174 | − | 2.96153i | −0.0200870 | − | 0.0251884i | ||||
\(25\) | −32.7609 | − | 41.0809i | −0.262087 | − | 0.328647i | ||||
\(26\) | 5.23843 | + | 22.9511i | 0.0395131 | + | 0.173118i | ||||
\(27\) | 2.52590 | + | 11.0667i | 0.0180041 | + | 0.0788811i | ||||
\(28\) | 40.8211 | + | 112.200i | 0.275516 | + | 0.757276i | ||||
\(29\) | 44.6635 | − | 195.683i | 0.285993 | − | 1.25302i | −0.603978 | − | 0.797001i | \(-0.706419\pi\) |
0.889971 | − | 0.456017i | \(-0.150724\pi\) | |||||||
\(30\) | −2.23188 | −0.0135828 | ||||||||
\(31\) | −276.703 | −1.60314 | −0.801570 | − | 0.597901i | \(-0.796002\pi\) | ||||
−0.801570 | + | 0.597901i | \(0.796002\pi\) | |||||||
\(32\) | −40.1317 | + | 175.829i | −0.221699 | + | 0.971325i | ||||
\(33\) | −0.785693 | + | 0.378370i | −0.00414459 | + | 0.00199593i | ||||
\(34\) | 17.0102 | + | 21.3302i | 0.0858010 | + | 0.107591i | ||||
\(35\) | 149.431 | + | 50.2272i | 0.721668 | + | 0.242570i | ||||
\(36\) | 108.347 | − | 135.863i | 0.501609 | − | 0.628997i | ||||
\(37\) | 48.3784 | − | 211.960i | 0.214956 | − | 0.941782i | −0.746188 | − | 0.665735i | \(-0.768118\pi\) |
0.961144 | − | 0.276047i | \(-0.0890247\pi\) | |||||||
\(38\) | −36.1157 | + | 45.2876i | −0.154177 | + | 0.193332i | ||||
\(39\) | 3.58032 | − | 1.72419i | 0.0147003 | − | 0.00707928i | ||||
\(40\) | 95.5565 | + | 119.824i | 0.377720 | + | 0.473646i | ||||
\(41\) | 386.663 | + | 186.207i | 1.47284 | + | 0.709284i | 0.986390 | − | 0.164423i | \(-0.0525762\pi\) |
0.486453 | + | 0.873707i | \(0.338291\pi\) | |||||||
\(42\) | −4.07953 | + | 2.63410i | −0.0149877 | + | 0.00967739i | ||||
\(43\) | 188.263 | − | 90.6627i | 0.667670 | − | 0.321533i | −0.0691650 | − | 0.997605i | \(-0.522034\pi\) |
0.736835 | + | 0.676072i | \(0.236319\pi\) | |||||||
\(44\) | 24.0759 | + | 11.5943i | 0.0824905 | + | 0.0397253i | ||||
\(45\) | −51.0573 | − | 223.697i | −0.169137 | − | 0.741039i | ||||
\(46\) | −92.6155 | − | 44.6013i | −0.296857 | − | 0.142959i | ||||
\(47\) | −258.855 | + | 324.593i | −0.803358 | + | 1.00738i | 0.196282 | + | 0.980547i | \(0.437113\pi\) |
−0.999640 | + | 0.0268314i | \(0.991458\pi\) | |||||||
\(48\) | 6.12922 | 0.0184308 | ||||||||
\(49\) | 332.415 | − | 84.5528i | 0.969140 | − | 0.246510i | ||||
\(50\) | −65.4867 | −0.185224 | ||||||||
\(51\) | 2.87139 | − | 3.60061i | 0.00788383 | − | 0.00988601i | ||||
\(52\) | −109.711 | − | 52.8343i | −0.292582 | − | 0.140900i | ||||
\(53\) | 39.2802 | + | 172.098i | 0.101803 | + | 0.446028i | 0.999980 | + | 0.00639292i | \(0.00203494\pi\) |
−0.898177 | + | 0.439635i | \(0.855108\pi\) | |||||||
\(54\) | 12.7462 | + | 6.13826i | 0.0321212 | + | 0.0154687i | ||||
\(55\) | 31.7893 | − | 15.3089i | 0.0779357 | − | 0.0375319i | ||||
\(56\) | 316.081 | + | 106.243i | 0.754252 | + | 0.253522i | ||||
\(57\) | 8.80964 | + | 4.24250i | 0.0204713 | + | 0.00985847i | ||||
\(58\) | −155.969 | − | 195.578i | −0.353098 | − | 0.442771i | ||||
\(59\) | 149.792 | − | 72.1360i | 0.330530 | − | 0.159175i | −0.261257 | − | 0.965269i | \(-0.584137\pi\) |
0.591787 | + | 0.806095i | \(0.298423\pi\) | |||||||
\(60\) | 7.19800 | − | 9.02601i | 0.0154876 | − | 0.0194209i | ||||
\(61\) | −72.4363 | + | 317.364i | −0.152041 | + | 0.666136i | 0.840249 | + | 0.542201i | \(0.182409\pi\) |
−0.992290 | + | 0.123936i | \(0.960448\pi\) | |||||||
\(62\) | −215.015 | + | 269.621i | −0.440435 | + | 0.552288i | ||||
\(63\) | −357.336 | − | 348.625i | −0.714604 | − | 0.697184i | ||||
\(64\) | −5.17349 | − | 6.48736i | −0.0101045 | − | 0.0126706i | ||||
\(65\) | −144.860 | + | 69.7611i | −0.276427 | + | 0.133120i | ||||
\(66\) | −0.241847 | + | 1.05960i | −0.000451050 | + | 0.00197618i | ||||
\(67\) | −809.291 | −1.47568 | −0.737841 | − | 0.674975i | \(-0.764154\pi\) | ||||
−0.737841 | + | 0.674975i | \(0.764154\pi\) | |||||||
\(68\) | −141.121 | −0.251669 | ||||||||
\(69\) | −3.86124 | + | 16.9172i | −0.00673680 | + | 0.0295158i | ||||
\(70\) | 165.058 | − | 106.576i | 0.281832 | − | 0.181975i | ||||
\(71\) | 44.7834 | + | 196.209i | 0.0748565 | + | 0.327968i | 0.998466 | − | 0.0553667i | \(-0.0176328\pi\) |
−0.923610 | + | 0.383334i | \(0.874776\pi\) | |||||||
\(72\) | −107.998 | − | 473.172i | −0.176774 | − | 0.774498i | ||||
\(73\) | −391.210 | − | 490.561i | −0.627228 | − | 0.786519i | 0.362113 | − | 0.932134i | \(-0.382055\pi\) |
−0.989341 | + | 0.145615i | \(0.953484\pi\) | |||||||
\(74\) | −168.941 | − | 211.846i | −0.265392 | − | 0.332792i | ||||
\(75\) | 2.45983 | + | 10.7772i | 0.00378716 | + | 0.0165926i | ||||
\(76\) | −66.6729 | − | 292.113i | −0.100630 | − | 0.440890i | ||||
\(77\) | 40.0381 | − | 65.5006i | 0.0592566 | − | 0.0969413i | ||||
\(78\) | 1.10207 | − | 4.82849i | 0.00159981 | − | 0.00700921i | ||||
\(79\) | 69.4560 | 0.0989167 | 0.0494583 | − | 0.998776i | \(-0.484250\pi\) | ||||
0.0494583 | + | 0.998776i | \(0.484250\pi\) | |||||||
\(80\) | −247.989 | −0.346575 | ||||||||
\(81\) | −161.420 | + | 707.229i | −0.221427 | + | 0.970136i | ||||
\(82\) | 481.902 | − | 232.072i | 0.648989 | − | 0.312537i | ||||
\(83\) | 441.287 | + | 553.356i | 0.583585 | + | 0.731792i | 0.982720 | − | 0.185100i | \(-0.0592610\pi\) |
−0.399135 | + | 0.916892i | \(0.630690\pi\) | |||||||
\(84\) | 2.50419 | − | 24.9934i | 0.00325273 | − | 0.0324643i | ||||
\(85\) | −116.177 | + | 145.681i | −0.148249 | + | 0.185898i | ||||
\(86\) | 57.9498 | − | 253.895i | 0.0726615 | − | 0.318351i | ||||
\(87\) | −26.3281 | + | 33.0144i | −0.0324445 | + | 0.0406841i | ||||
\(88\) | 67.2419 | − | 32.3820i | 0.0814546 | − | 0.0392265i | ||||
\(89\) | 537.947 | + | 674.565i | 0.640700 | + | 0.803413i | 0.991090 | − | 0.133191i | \(-0.0425225\pi\) |
−0.350390 | + | 0.936604i | \(0.613951\pi\) | |||||||
\(90\) | −257.646 | − | 124.076i | −0.301758 | − | 0.145319i | ||||
\(91\) | −182.449 | + | 298.479i | −0.210175 | + | 0.343837i | ||||
\(92\) | 479.067 | − | 230.706i | 0.542893 | − | 0.261443i | ||||
\(93\) | 52.4484 | + | 25.2578i | 0.0584801 | + | 0.0281625i | ||||
\(94\) | 115.139 | + | 504.458i | 0.126337 | + | 0.553520i | ||||
\(95\) | −356.440 | − | 171.652i | −0.384947 | − | 0.185380i | ||||
\(96\) | 23.6567 | − | 29.6646i | 0.0251506 | − | 0.0315378i | ||||
\(97\) | 1059.44 | 1.10896 | 0.554481 | − | 0.832196i | \(-0.312917\pi\) | ||||
0.554481 | + | 0.832196i | \(0.312917\pi\) | |||||||
\(98\) | 175.918 | − | 389.610i | 0.181331 | − | 0.401597i | ||||
\(99\) | −111.734 | −0.113431 | ||||||||
\(100\) | 211.200 | − | 264.837i | 0.211200 | − | 0.264837i | ||||
\(101\) | 889.783 | + | 428.497i | 0.876601 | + | 0.422149i | 0.817382 | − | 0.576096i | \(-0.195425\pi\) |
0.0592190 | + | 0.998245i | \(0.481139\pi\) | |||||||
\(102\) | −1.27720 | − | 5.59580i | −0.00123982 | − | 0.00543202i | ||||
\(103\) | −766.990 | − | 369.363i | −0.733726 | − | 0.353344i | 0.0294226 | − | 0.999567i | \(-0.490633\pi\) |
−0.763148 | + | 0.646223i | \(0.776347\pi\) | |||||||
\(104\) | −306.414 | + | 147.561i | −0.288908 | + | 0.139131i | ||||
\(105\) | −23.7394 | − | 23.1607i | −0.0220641 | − | 0.0215262i | ||||
\(106\) | 198.216 | + | 95.4559i | 0.181627 | + | 0.0874669i | ||||
\(107\) | 1011.63 | + | 1268.54i | 0.914000 | + | 1.14612i | 0.988849 | + | 0.148925i | \(0.0475812\pi\) |
−0.0748488 | + | 0.997195i | \(0.523847\pi\) | |||||||
\(108\) | −65.9317 | + | 31.7510i | −0.0587433 | + | 0.0282893i | ||||
\(109\) | 743.116 | − | 931.838i | 0.653006 | − | 0.818843i | −0.339556 | − | 0.940586i | \(-0.610277\pi\) |
0.992562 | + | 0.121743i | \(0.0388482\pi\) | |||||||
\(110\) | 9.78516 | − | 42.8716i | 0.00848162 | − | 0.0371604i | ||||
\(111\) | −28.5179 | + | 35.7604i | −0.0243856 | + | 0.0305786i | ||||
\(112\) | −453.286 | + | 292.681i | −0.382424 | + | 0.246926i | ||||
\(113\) | −918.631 | − | 1151.93i | −0.764757 | − | 0.958975i | 0.235159 | − | 0.971957i | \(-0.424439\pi\) |
−0.999916 | + | 0.0129823i | \(0.995867\pi\) | |||||||
\(114\) | 10.9795 | − | 5.28747i | 0.00902043 | − | 0.00434401i | ||||
\(115\) | 156.226 | − | 684.473i | 0.126680 | − | 0.555021i | ||||
\(116\) | 1293.96 | 1.03570 | ||||||||
\(117\) | 509.161 | 0.402325 | ||||||||
\(118\) | 46.1079 | − | 202.012i | 0.0359710 | − | 0.157599i | ||||
\(119\) | −40.4180 | + | 403.397i | −0.0311354 | + | 0.310751i | ||||
\(120\) | −7.17481 | − | 31.4349i | −0.00545806 | − | 0.0239133i | ||||
\(121\) | 292.352 | + | 1280.88i | 0.219648 | + | 0.962343i | ||||
\(122\) | 252.954 | + | 317.194i | 0.187716 | + | 0.235388i | ||||
\(123\) | −56.2937 | − | 70.5901i | −0.0412670 | − | 0.0517471i | ||||
\(124\) | −396.938 | − | 1739.10i | −0.287469 | − | 1.25948i | ||||
\(125\) | −336.290 | − | 1473.38i | −0.240629 | − | 1.05427i | ||||
\(126\) | −617.373 | + | 77.2868i | −0.436508 | + | 0.0546449i | ||||
\(127\) | −412.014 | + | 1805.15i | −0.287877 | + | 1.26127i | 0.599556 | + | 0.800333i | \(0.295344\pi\) |
−0.887432 | + | 0.460938i | \(0.847513\pi\) | |||||||
\(128\) | −1453.14 | −1.00345 | ||||||||
\(129\) | −43.9606 | −0.0300040 | ||||||||
\(130\) | −44.5900 | + | 195.361i | −0.0300831 | + | 0.131802i | ||||
\(131\) | −959.091 | + | 461.874i | −0.639665 | + | 0.308047i | −0.725458 | − | 0.688266i | \(-0.758372\pi\) |
0.0857928 | + | 0.996313i | \(0.472658\pi\) | |||||||
\(132\) | −3.50518 | − | 4.39536i | −0.00231127 | − | 0.00289824i | ||||
\(133\) | −854.104 | + | 106.922i | −0.556843 | + | 0.0697093i | ||||
\(134\) | −628.869 | + | 788.577i | −0.405418 | + | 0.508378i | ||||
\(135\) | −21.5007 | + | 94.2008i | −0.0137073 | + | 0.0600556i | ||||
\(136\) | −245.742 | + | 308.151i | −0.154943 | + | 0.194292i | ||||
\(137\) | 1426.58 | − | 687.006i | 0.889643 | − | 0.428430i | 0.0675060 | − | 0.997719i | \(-0.478496\pi\) |
0.822137 | + | 0.569289i | \(0.192782\pi\) | |||||||
\(138\) | 13.4838 | + | 16.9081i | 0.00831750 | + | 0.0104298i | ||||
\(139\) | −2822.28 | − | 1359.14i | −1.72218 | − | 0.829358i | −0.988747 | − | 0.149597i | \(-0.952202\pi\) |
−0.733433 | − | 0.679762i | \(-0.762083\pi\) | |||||||
\(140\) | −101.320 | + | 1011.24i | −0.0611649 | + | 0.610464i | ||||
\(141\) | 78.6945 | − | 37.8973i | 0.0470020 | − | 0.0226349i | ||||
\(142\) | 225.986 | + | 108.829i | 0.133552 | + | 0.0643151i | ||||
\(143\) | 17.4225 | + | 76.3328i | 0.0101884 | + | 0.0446383i | ||||
\(144\) | 707.551 | + | 340.739i | 0.409462 | + | 0.197187i | ||||
\(145\) | 1065.24 | − | 1335.77i | 0.610091 | − | 0.765030i | ||||
\(146\) | −781.999 | −0.443279 | ||||||||
\(147\) | −70.7266 | − | 14.3165i | −0.0396832 | − | 0.00803268i | ||||
\(148\) | 1401.58 | 0.778442 | ||||||||
\(149\) | −16.6867 | + | 20.9245i | −0.00917469 | + | 0.0115047i | −0.786398 | − | 0.617721i | \(-0.788056\pi\) |
0.777223 | + | 0.629225i | \(0.216628\pi\) | |||||||
\(150\) | 12.4128 | + | 5.97771i | 0.00675669 | + | 0.00325385i | ||||
\(151\) | 128.306 | + | 562.147i | 0.0691486 | + | 0.302960i | 0.997662 | − | 0.0683387i | \(-0.0217698\pi\) |
−0.928514 | + | 0.371298i | \(0.878913\pi\) | |||||||
\(152\) | −753.954 | − | 363.085i | −0.402327 | − | 0.193751i | ||||
\(153\) | 531.638 | − | 256.023i | 0.280918 | − | 0.135283i | ||||
\(154\) | −32.7120 | − | 89.9113i | −0.0171169 | − | 0.0470471i | ||||
\(155\) | −2122.07 | − | 1021.94i | −1.09967 | − | 0.529573i | ||||
\(156\) | 15.9728 | + | 20.0292i | 0.00819772 | + | 0.0102796i | ||||
\(157\) | 1576.92 | − | 759.404i | 0.801603 | − | 0.386032i | 0.0122146 | − | 0.999925i | \(-0.496112\pi\) |
0.789389 | + | 0.613894i | \(0.210398\pi\) | |||||||
\(158\) | 53.9716 | − | 67.6783i | 0.0271756 | − | 0.0340772i | ||||
\(159\) | 8.26385 | − | 36.2063i | 0.00412180 | − | 0.0180588i | ||||
\(160\) | −957.155 | + | 1200.23i | −0.472936 | + | 0.593043i | ||||
\(161\) | −522.269 | − | 1435.49i | −0.255656 | − | 0.702687i | ||||
\(162\) | 563.694 | + | 706.849i | 0.273382 | + | 0.342811i | ||||
\(163\) | −1671.09 | + | 804.754i | −0.803005 | + | 0.386707i | −0.789922 | − | 0.613208i | \(-0.789879\pi\) |
−0.0130831 | + | 0.999914i | \(0.504165\pi\) | |||||||
\(164\) | −615.647 | + | 2697.32i | −0.293134 | + | 1.28430i | ||||
\(165\) | −7.42299 | −0.00350230 | ||||||||
\(166\) | 882.100 | 0.412435 | ||||||||
\(167\) | 364.776 | − | 1598.19i | 0.169025 | − | 0.740549i | −0.817364 | − | 0.576122i | \(-0.804565\pi\) |
0.986389 | − | 0.164427i | \(-0.0525775\pi\) | |||||||
\(168\) | −50.2144 | − | 48.9903i | −0.0230603 | − | 0.0224981i | ||||
\(169\) | 409.486 | + | 1794.08i | 0.186384 | + | 0.816603i | ||||
\(170\) | 51.6759 | + | 226.407i | 0.0233139 | + | 0.102145i | ||||
\(171\) | 781.125 | + | 979.500i | 0.349323 | + | 0.438037i | ||||
\(172\) | 839.890 | + | 1053.19i | 0.372332 | + | 0.466889i | ||||
\(173\) | −327.191 | − | 1433.52i | −0.143791 | − | 0.629990i | −0.994534 | − | 0.104409i | \(-0.966705\pi\) |
0.850743 | − | 0.525581i | \(-0.176152\pi\) | |||||||
\(174\) | 11.7108 | + | 51.3084i | 0.00510227 | + | 0.0223545i | ||||
\(175\) | −696.549 | − | 679.569i | −0.300881 | − | 0.293546i | ||||
\(176\) | −26.8721 | + | 117.735i | −0.0115089 | + | 0.0504237i | ||||
\(177\) | −34.9773 | −0.0148534 | ||||||||
\(178\) | 1075.32 | 0.452800 | ||||||||
\(179\) | 710.873 | − | 3114.54i | 0.296833 | − | 1.30051i | −0.577980 | − | 0.816051i | \(-0.696159\pi\) |
0.874813 | − | 0.484461i | \(-0.160984\pi\) | |||||||
\(180\) | 1332.71 | − | 641.799i | 0.551857 | − | 0.265760i | ||||
\(181\) | 2134.95 | + | 2677.14i | 0.876737 | + | 1.09939i | 0.994331 | + | 0.106331i | \(0.0339104\pi\) |
−0.117594 | + | 0.993062i | \(0.537518\pi\) | |||||||
\(182\) | 149.065 | + | 409.716i | 0.0607113 | + | 0.166869i | ||||
\(183\) | 42.6995 | − | 53.5435i | 0.0172483 | − | 0.0216287i | ||||
\(184\) | 330.456 | − | 1447.82i | 0.132400 | − | 0.580081i | ||||
\(185\) | 1153.84 | − | 1446.87i | 0.458552 | − | 0.575006i | ||||
\(186\) | 65.3670 | − | 31.4791i | 0.0257685 | − | 0.0124094i | ||||
\(187\) | 56.5743 | + | 70.9419i | 0.0221236 | + | 0.0277422i | ||||
\(188\) | −2411.43 | − | 1161.28i | −0.935487 | − | 0.450507i | ||||
\(189\) | 71.8774 | + | 197.560i | 0.0276630 | + | 0.0760337i | ||||
\(190\) | −444.234 | + | 213.932i | −0.169622 | + | 0.0816855i | ||||
\(191\) | 2267.15 | + | 1091.80i | 0.858874 | + | 0.413612i | 0.810864 | − | 0.585235i | \(-0.198998\pi\) |
0.0480101 | + | 0.998847i | \(0.484712\pi\) | |||||||
\(192\) | 0.388449 | + | 1.70191i | 0.000146010 | + | 0.000639711i | ||||
\(193\) | −1264.46 | − | 608.932i | −0.471595 | − | 0.227108i | 0.182963 | − | 0.983120i | \(-0.441431\pi\) |
−0.654558 | + | 0.756012i | \(0.727145\pi\) | |||||||
\(194\) | 823.247 | − | 1032.32i | 0.304668 | − | 0.382042i | ||||
\(195\) | 33.8258 | 0.0124221 | ||||||||
\(196\) | 1008.28 | + | 1967.96i | 0.367449 | + | 0.717187i | ||||
\(197\) | −1587.00 | −0.573956 | −0.286978 | − | 0.957937i | \(-0.592651\pi\) | ||||
−0.286978 | + | 0.957937i | \(0.592651\pi\) | |||||||
\(198\) | −86.8244 | + | 108.874i | −0.0311633 | + | 0.0390776i | ||||
\(199\) | 2899.11 | + | 1396.14i | 1.03273 | + | 0.497335i | 0.871919 | − | 0.489651i | \(-0.162876\pi\) |
0.160808 | + | 0.986986i | \(0.448590\pi\) | |||||||
\(200\) | −210.520 | − | 922.347i | −0.0744299 | − | 0.326099i | ||||
\(201\) | 153.399 | + | 73.8731i | 0.0538306 | + | 0.0259234i | ||||
\(202\) | 1108.95 | − | 534.040i | 0.386263 | − | 0.186014i | ||||
\(203\) | 370.597 | − | 3698.79i | 0.128132 | − | 1.27884i | ||||
\(204\) | 26.7492 | + | 12.8818i | 0.00918049 | + | 0.00442109i | ||||
\(205\) | 2277.65 | + | 2856.09i | 0.775991 | + | 0.973062i | ||||
\(206\) | −955.907 | + | 460.341i | −0.323307 | + | 0.155696i | ||||
\(207\) | −1386.21 | + | 1738.25i | −0.465450 | + | 0.583656i | ||||
\(208\) | 122.454 | − | 536.504i | 0.0408203 | − | 0.178846i | ||||
\(209\) | −120.117 | + | 150.622i | −0.0397544 | + | 0.0498504i | ||||
\(210\) | −41.0148 | + | 5.13450i | −0.0134776 | + | 0.00168721i | ||||
\(211\) | 874.334 | + | 1096.38i | 0.285268 | + | 0.357715i | 0.903732 | − | 0.428098i | \(-0.140816\pi\) |
−0.618464 | + | 0.785813i | \(0.712245\pi\) | |||||||
\(212\) | −1025.30 | + | 493.759i | −0.332160 | + | 0.159960i | ||||
\(213\) | 9.42162 | − | 41.2788i | 0.00303079 | − | 0.0132788i | ||||
\(214\) | 2022.17 | 0.645948 | ||||||||
\(215\) | 1778.65 | 0.564200 | ||||||||
\(216\) | −45.4791 | + | 199.257i | −0.0143262 | + | 0.0627672i | ||||
\(217\) | −5084.92 | + | 636.564i | −1.59072 | + | 0.199137i | ||||
\(218\) | −330.540 | − | 1448.19i | −0.102693 | − | 0.449926i | ||||
\(219\) | 29.3738 | + | 128.695i | 0.00906345 | + | 0.0397095i | ||||
\(220\) | 141.820 | + | 177.837i | 0.0434615 | + | 0.0544989i | ||||
\(221\) | −257.803 | − | 323.275i | −0.0784693 | − | 0.0983974i | ||||
\(222\) | 12.6849 | + | 55.5760i | 0.00383492 | + | 0.0168019i | ||||
\(223\) | 29.0554 | + | 127.300i | 0.00872508 | + | 0.0382271i | 0.979103 | − | 0.203365i | \(-0.0651877\pi\) |
−0.970378 | + | 0.241592i | \(0.922331\pi\) | |||||||
\(224\) | −332.995 | + | 3323.50i | −0.0993265 | + | 0.991341i | ||||
\(225\) | −315.173 | + | 1380.86i | −0.0933845 | + | 0.409144i | ||||
\(226\) | −1836.28 | −0.540474 | ||||||||
\(227\) | −4046.40 | −1.18312 | −0.591562 | − | 0.806259i | \(-0.701489\pi\) | ||||
−0.591562 | + | 0.806259i | \(0.701489\pi\) | |||||||
\(228\) | −14.0268 | + | 61.4553i | −0.00407432 | + | 0.0178508i | ||||
\(229\) | −4657.91 | + | 2243.13i | −1.34412 | + | 0.647293i | −0.961037 | − | 0.276421i | \(-0.910852\pi\) |
−0.383082 | + | 0.923714i | \(0.625137\pi\) | |||||||
\(230\) | −545.556 | − | 684.105i | −0.156404 | − | 0.196124i | ||||
\(231\) | −13.5681 | + | 8.76075i | −0.00386457 | + | 0.00249530i | ||||
\(232\) | 2253.23 | − | 2825.47i | 0.637638 | − | 0.799573i | ||||
\(233\) | 1190.56 | − | 5216.18i | 0.334748 | − | 1.46662i | −0.475073 | − | 0.879947i | \(-0.657578\pi\) |
0.809820 | − | 0.586678i | \(-0.199565\pi\) | |||||||
\(234\) | 395.650 | − | 496.129i | 0.110532 | − | 0.138602i | ||||
\(235\) | −3183.99 | + | 1533.33i | −0.883833 | + | 0.425632i | ||||
\(236\) | 668.261 | + | 837.973i | 0.184322 | + | 0.231133i | ||||
\(237\) | −13.1652 | − | 6.34004i | −0.00360833 | − | 0.00173768i | ||||
\(238\) | 361.665 | + | 352.848i | 0.0985011 | + | 0.0960998i | ||||
\(239\) | −1278.15 | + | 615.524i | −0.345927 | + | 0.166590i | −0.598777 | − | 0.800916i | \(-0.704346\pi\) |
0.252850 | + | 0.967506i | \(0.418632\pi\) | |||||||
\(240\) | 47.0057 | + | 22.6368i | 0.0126425 | + | 0.00608832i | ||||
\(241\) | −1060.04 | − | 4644.33i | −0.283332 | − | 1.24136i | −0.893492 | − | 0.449080i | \(-0.851752\pi\) |
0.610160 | − | 0.792278i | \(-0.291105\pi\) | |||||||
\(242\) | 1475.27 | + | 710.452i | 0.391876 | + | 0.188717i | ||||
\(243\) | 286.244 | − | 358.939i | 0.0755661 | − | 0.0947569i | ||||
\(244\) | −2098.57 | −0.550603 | ||||||||
\(245\) | 2861.61 | + | 579.248i | 0.746210 | + | 0.151048i | ||||
\(246\) | −112.527 | −0.0291645 | ||||||||
\(247\) | 547.361 | − | 686.369i | 0.141003 | − | 0.176812i | ||||
\(248\) | −4488.68 | − | 2161.64i | −1.14932 | − | 0.553484i | ||||
\(249\) | −33.1338 | − | 145.169i | −0.00843280 | − | 0.0369465i | ||||
\(250\) | −1696.99 | − | 817.227i | −0.429308 | − | 0.206744i | ||||
\(251\) | 6654.27 | − | 3204.53i | 1.67336 | − | 0.805849i | 0.675725 | − | 0.737154i | \(-0.263831\pi\) |
0.997638 | − | 0.0686956i | \(-0.0218837\pi\) | |||||||
\(252\) | 1678.52 | − | 2745.99i | 0.419592 | − | 0.686434i | ||||
\(253\) | −308.030 | − | 148.339i | −0.0765441 | − | 0.0368617i | ||||
\(254\) | 1438.79 | + | 1804.18i | 0.355424 | + | 0.445687i | ||||
\(255\) | 35.3190 | − | 17.0088i | 0.00867359 | − | 0.00417698i | ||||
\(256\) | −1087.79 | + | 1364.05i | −0.265575 | + | 0.333020i | ||||
\(257\) | −1640.45 | + | 7187.28i | −0.398165 | + | 1.74447i | 0.236448 | + | 0.971644i | \(0.424017\pi\) |
−0.634613 | + | 0.772830i | \(0.718840\pi\) | |||||||
\(258\) | −34.1601 | + | 42.8354i | −0.00824308 | + | 0.0103365i | ||||
\(259\) | 401.422 | − | 4006.44i | 0.0963055 | − | 0.961189i | ||||
\(260\) | −646.260 | − | 810.385i | −0.154151 | − | 0.193300i | ||||
\(261\) | −4874.64 | + | 2347.50i | −1.15606 | + | 0.556731i | ||||
\(262\) | −295.221 | + | 1293.45i | −0.0696137 | + | 0.304998i | ||||
\(263\) | −2202.52 | −0.516401 | −0.258201 | − | 0.966091i | \(-0.583130\pi\) | ||||
−0.258201 | + | 0.966091i | \(0.583130\pi\) | |||||||
\(264\) | −15.7014 | −0.00366043 | ||||||||
\(265\) | −334.357 | + | 1464.91i | −0.0775070 | + | 0.339580i | ||||
\(266\) | −559.506 | + | 915.328i | −0.128968 | + | 0.210986i | ||||
\(267\) | −40.3915 | − | 176.967i | −0.00925812 | − | 0.0405625i | ||||
\(268\) | −1160.95 | − | 5086.46i | −0.264613 | − | 1.15935i | ||||
\(269\) | −513.275 | − | 643.626i | −0.116338 | − | 0.145883i | 0.720253 | − | 0.693712i | \(-0.244026\pi\) |
−0.836590 | + | 0.547829i | \(0.815455\pi\) | |||||||
\(270\) | 75.0823 | + | 94.1502i | 0.0169236 | + | 0.0212215i | ||||
\(271\) | 1137.11 | + | 4982.00i | 0.254887 | + | 1.11673i | 0.926638 | + | 0.375956i | \(0.122686\pi\) |
−0.671751 | + | 0.740777i | \(0.734457\pi\) | |||||||
\(272\) | −141.913 | − | 621.762i | −0.0316351 | − | 0.138602i | ||||
\(273\) | 61.8284 | − | 39.9218i | 0.0137071 | − | 0.00885047i | ||||
\(274\) | 439.121 | − | 1923.91i | 0.0968185 | − | 0.424189i | ||||
\(275\) | −217.802 | −0.0477598 | ||||||||
\(276\) | −111.865 | −0.0243967 | ||||||||
\(277\) | 211.636 | − | 927.240i | 0.0459061 | − | 0.201128i | −0.946774 | − | 0.321898i | \(-0.895679\pi\) |
0.992681 | + | 0.120770i | \(0.0385364\pi\) | |||||||
\(278\) | −3517.44 | + | 1693.91i | −0.758857 | + | 0.365446i | ||||
\(279\) | 4650.45 | + | 5831.48i | 0.997903 | + | 1.25133i | ||||
\(280\) | 2031.68 | + | 1982.16i | 0.433630 | + | 0.423059i | ||||
\(281\) | 432.533 | − | 542.379i | 0.0918247 | − | 0.115145i | −0.733797 | − | 0.679369i | \(-0.762253\pi\) |
0.825621 | + | 0.564225i | \(0.190825\pi\) | |||||||
\(282\) | 24.2232 | − | 106.129i | 0.00511515 | − | 0.0224109i | ||||
\(283\) | 1015.73 | − | 1273.69i | 0.213353 | − | 0.267537i | −0.663626 | − | 0.748064i | \(-0.730983\pi\) |
0.876980 | + | 0.480528i | \(0.159555\pi\) | |||||||
\(284\) | −1168.95 | + | 562.934i | −0.244240 | + | 0.117620i | ||||
\(285\) | 51.8936 | + | 65.0725i | 0.0107857 | + | 0.0135248i | ||||
\(286\) | 87.9174 | + | 42.3388i | 0.0181771 | + | 0.00875365i | ||||
\(287\) | 7534.00 | + | 2532.36i | 1.54954 | + | 0.520838i | ||||
\(288\) | 4380.04 | − | 2109.32i | 0.896168 | − | 0.431572i | ||||
\(289\) | 3994.72 | + | 1923.76i | 0.813092 | + | 0.391565i | ||||
\(290\) | −473.821 | − | 2075.95i | −0.0959440 | − | 0.420358i | ||||
\(291\) | −200.813 | − | 96.7066i | −0.0404532 | − | 0.0194813i | ||||
\(292\) | 2522.02 | − | 3162.51i | 0.505445 | − | 0.633807i | ||||
\(293\) | 2804.83 | 0.559248 | 0.279624 | − | 0.960110i | \(-0.409790\pi\) | ||||
0.279624 | + | 0.960110i | \(0.409790\pi\) | |||||||
\(294\) | −68.9090 | + | 57.7915i | −0.0136696 | + | 0.0114642i | ||||
\(295\) | 1415.19 | 0.279307 | ||||||||
\(296\) | 2440.65 | − | 3060.48i | 0.479256 | − | 0.600968i | ||||
\(297\) | 42.3927 | + | 20.4152i | 0.00828239 | + | 0.00398859i | ||||
\(298\) | 7.42230 | + | 32.5192i | 0.00144283 | + | 0.00632144i | ||||
\(299\) | 1403.66 | + | 675.967i | 0.271491 | + | 0.130743i | ||||
\(300\) | −64.2071 | + | 30.9205i | −0.0123567 | + | 0.00595065i | ||||
\(301\) | 3251.10 | − | 2099.20i | 0.622560 | − | 0.401979i | ||||
\(302\) | 647.461 | + | 311.801i | 0.123368 | + | 0.0594110i | ||||
\(303\) | −129.542 | − | 162.441i | −0.0245611 | − | 0.0307987i | ||||
\(304\) | 1219.96 | − | 587.503i | 0.230163 | − | 0.110841i | ||||
\(305\) | −1727.63 | + | 2166.38i | −0.324340 | + | 0.406710i | ||||
\(306\) | 163.645 | − | 716.976i | 0.0305718 | − | 0.133944i | ||||
\(307\) | −4980.14 | + | 6244.90i | −0.925836 | + | 1.16096i | 0.0608211 | + | 0.998149i | \(0.480628\pi\) |
−0.986657 | + | 0.162813i | \(0.947943\pi\) | |||||||
\(308\) | 469.112 | + | 157.680i | 0.0867861 | + | 0.0291709i | ||||
\(309\) | 111.665 | + | 140.024i | 0.0205579 | + | 0.0257788i | ||||
\(310\) | −2644.76 | + | 1273.65i | −0.484555 | + | 0.233350i | ||||
\(311\) | −628.340 | + | 2752.94i | −0.114566 | + | 0.501945i | 0.884788 | + | 0.465994i | \(0.154303\pi\) |
−0.999354 | + | 0.0359509i | \(0.988554\pi\) | |||||||
\(312\) | 71.5497 | 0.0129830 | ||||||||
\(313\) | 3639.11 | 0.657171 | 0.328585 | − | 0.944474i | \(-0.393428\pi\) | ||||
0.328585 | + | 0.944474i | \(0.393428\pi\) | |||||||
\(314\) | 485.396 | − | 2126.66i | 0.0872372 | − | 0.382211i | ||||
\(315\) | −1452.89 | − | 3993.38i | −0.259877 | − | 0.714290i | ||||
\(316\) | 99.6367 | + | 436.537i | 0.0177373 | + | 0.0777124i | ||||
\(317\) | −745.396 | − | 3265.79i | −0.132068 | − | 0.578628i | −0.997045 | − | 0.0768168i | \(-0.975524\pi\) |
0.864977 | − | 0.501811i | \(-0.167333\pi\) | |||||||
\(318\) | −28.8580 | − | 36.1868i | −0.00508893 | − | 0.00638131i | ||||
\(319\) | −518.735 | − | 650.474i | −0.0910458 | − | 0.114168i | ||||
\(320\) | −15.7167 | − | 68.8594i | −0.00274559 | − | 0.0120292i | ||||
\(321\) | −75.9577 | − | 332.792i | −0.0132073 | − | 0.0578650i | ||||
\(322\) | −1804.59 | − | 606.565i | −0.312316 | − | 0.104977i | ||||
\(323\) | 226.395 | − | 991.899i | 0.0389998 | − | 0.170869i | ||||
\(324\) | −4676.55 | −0.801878 | ||||||||
\(325\) | 992.501 | 0.169397 | ||||||||
\(326\) | −514.383 | + | 2253.66i | −0.0873897 | + | 0.382879i | ||||
\(327\) | −225.915 | + | 108.795i | −0.0382053 | + | 0.0183987i | ||||
\(328\) | 4817.78 | + | 6041.30i | 0.811028 | + | 1.01700i | ||||
\(329\) | −4010.19 | + | 6560.50i | −0.672002 | + | 1.09937i | ||||
\(330\) | −5.76812 | + | 7.23300i | −0.000962196 | + | 0.00120656i | ||||
\(331\) | 2610.61 | − | 11437.8i | 0.433511 | − | 1.89933i | −0.00373758 | − | 0.999993i | \(-0.501190\pi\) |
0.437248 | − | 0.899341i | \(-0.355953\pi\) | |||||||
\(332\) | −2844.85 | + | 3567.33i | −0.470275 | + | 0.589706i | ||||
\(333\) | −5280.09 | + | 2542.76i | −0.868911 | + | 0.418445i | ||||
\(334\) | −1273.83 | − | 1597.33i | −0.208685 | − | 0.261683i | ||||
\(335\) | −6206.55 | − | 2988.92i | −1.01224 | − | 0.487469i | ||||
\(336\) | 112.636 | − | 14.1004i | 0.0182880 | − | 0.00228941i | ||||
\(337\) | 1992.46 | − | 959.519i | 0.322066 | − | 0.155099i | −0.265864 | − | 0.964011i | \(-0.585657\pi\) |
0.587930 | + | 0.808912i | \(0.299943\pi\) | |||||||
\(338\) | 2066.35 | + | 995.102i | 0.332529 | + | 0.160137i | ||||
\(339\) | 68.9749 | + | 302.199i | 0.0110507 | + | 0.0484164i | ||||
\(340\) | −1082.28 | − | 521.198i | −0.172632 | − | 0.0831350i | ||||
\(341\) | −715.119 | + | 896.731i | −0.113566 | + | 0.142407i | ||||
\(342\) | 1561.41 | 0.246876 | ||||||||
\(343\) | 5914.22 | − | 2318.54i | 0.931014 | − | 0.364984i | ||||
\(344\) | 3762.27 | 0.589675 | ||||||||
\(345\) | −92.0919 | + | 115.480i | −0.0143712 | + | 0.0180209i | ||||
\(346\) | −1651.07 | − | 795.114i | −0.256538 | − | 0.123542i | ||||
\(347\) | −922.316 | − | 4040.93i | −0.142687 | − | 0.625154i | −0.994805 | − | 0.101803i | \(-0.967539\pi\) |
0.852117 | − | 0.523351i | \(-0.175318\pi\) | |||||||
\(348\) | −245.266 | − | 118.114i | −0.0377806 | − | 0.0181942i | ||||
\(349\) | −115.471 | + | 55.6078i | −0.0177106 | + | 0.00852898i | −0.442718 | − | 0.896661i | \(-0.645986\pi\) |
0.425007 | + | 0.905190i | \(0.360271\pi\) | |||||||
\(350\) | −1203.44 | + | 150.654i | −0.183790 | + | 0.0230080i | ||||
\(351\) | −193.179 | − | 93.0301i | −0.0293764 | − | 0.0141469i | ||||
\(352\) | 466.102 | + | 584.474i | 0.0705777 | + | 0.0885016i | ||||
\(353\) | −7903.61 | + | 3806.18i | −1.19169 | + | 0.573888i | −0.921296 | − | 0.388861i | \(-0.872869\pi\) |
−0.270395 | + | 0.962750i | \(0.587154\pi\) | |||||||
\(354\) | −27.1796 | + | 34.0821i | −0.00408073 | + | 0.00511707i | ||||
\(355\) | −381.200 | + | 1670.15i | −0.0569915 | + | 0.249696i | ||||
\(356\) | −3467.99 | + | 4348.72i | −0.516301 | + | 0.647421i | ||||
\(357\) | 44.4838 | − | 72.7736i | 0.00659476 | − | 0.0107888i | ||||
\(358\) | −2482.43 | − | 3112.87i | −0.366482 | − | 0.459553i | ||||
\(359\) | −1050.36 | + | 505.827i | −0.154418 | + | 0.0743636i | −0.509496 | − | 0.860473i | \(-0.670168\pi\) |
0.355079 | + | 0.934836i | \(0.384454\pi\) | |||||||
\(360\) | 919.291 | − | 4027.68i | 0.134586 | − | 0.589659i | ||||
\(361\) | −4698.87 | −0.685066 | ||||||||
\(362\) | 4267.60 | 0.619614 | ||||||||
\(363\) | 61.5056 | − | 269.474i | 0.00889313 | − | 0.0389633i | ||||
\(364\) | −2137.70 | − | 718.531i | −0.307818 | − | 0.103465i | ||||
\(365\) | −1188.47 | − | 5207.01i | −0.170431 | − | 0.746706i | ||||
\(366\) | −18.9929 | − | 83.2132i | −0.00271250 | − | 0.0118842i | ||||
\(367\) | −442.098 | − | 554.374i | −0.0628811 | − | 0.0788504i | 0.749396 | − | 0.662122i | \(-0.230344\pi\) |
−0.812277 | + | 0.583271i | \(0.801772\pi\) | |||||||
\(368\) | 1498.21 | + | 1878.70i | 0.212228 | + | 0.266125i | ||||
\(369\) | −2574.21 | − | 11278.4i | −0.363166 | − | 1.59113i | ||||
\(370\) | −513.232 | − | 2248.61i | −0.0721126 | − | 0.315946i | ||||
\(371\) | 1117.76 | + | 3072.25i | 0.156419 | + | 0.429928i | ||||
\(372\) | −83.5087 | + | 365.875i | −0.0116390 | + | 0.0509940i | ||||
\(373\) | −10232.3 | −1.42039 | −0.710196 | − | 0.704004i | \(-0.751393\pi\) | ||||
−0.710196 | + | 0.704004i | \(0.751393\pi\) | |||||||
\(374\) | 113.088 | 0.0156354 | ||||||||
\(375\) | −70.7493 | + | 309.973i | −0.00974261 | + | 0.0426852i | ||||
\(376\) | −6734.90 | + | 3243.36i | −0.923740 | + | 0.444850i | ||||
\(377\) | 2363.82 | + | 2964.14i | 0.322926 | + | 0.404936i | ||||
\(378\) | 248.357 | + | 83.4787i | 0.0337939 | + | 0.0113589i | ||||
\(379\) | −891.862 | + | 1118.36i | −0.120876 | + | 0.151573i | −0.838587 | − | 0.544767i | \(-0.816618\pi\) |
0.717712 | + | 0.696340i | \(0.245190\pi\) | |||||||
\(380\) | 567.525 | − | 2486.49i | 0.0766143 | − | 0.335669i | ||||
\(381\) | 242.873 | − | 304.553i | 0.0326582 | − | 0.0409520i | ||||
\(382\) | 2825.57 | − | 1360.72i | 0.378452 | − | 0.182253i | ||||
\(383\) | 7720.69 | + | 9681.43i | 1.03005 | + | 1.29164i | 0.955679 | + | 0.294409i | \(0.0951229\pi\) |
0.0743691 | + | 0.997231i | \(0.476306\pi\) | |||||||
\(384\) | 275.440 | + | 132.645i | 0.0366041 | + | 0.0176276i | ||||
\(385\) | 548.967 | − | 354.461i | 0.0726700 | − | 0.0469221i | ||||
\(386\) | −1575.91 | + | 758.918i | −0.207802 | + | 0.100072i | ||||
\(387\) | −5074.77 | − | 2443.88i | −0.666576 | − | 0.321006i | ||||
\(388\) | 1519.79 | + | 6658.64i | 0.198855 | + | 0.871240i | ||||
\(389\) | 6064.35 | + | 2920.44i | 0.790423 | + | 0.380648i | 0.785124 | − | 0.619338i | \(-0.212599\pi\) |
0.00529882 | + | 0.999986i | \(0.498313\pi\) | |||||||
\(390\) | 26.2847 | − | 32.9600i | 0.00341277 | − | 0.00427948i | ||||
\(391\) | 1805.52 | 0.233527 | ||||||||
\(392\) | 6052.98 | + | 1225.25i | 0.779902 | + | 0.157868i | ||||
\(393\) | 223.954 | 0.0287455 | ||||||||
\(394\) | −1233.20 | + | 1546.38i | −0.157685 | + | 0.197730i | ||||
\(395\) | 532.667 | + | 256.519i | 0.0678516 | + | 0.0326756i | ||||
\(396\) | −160.286 | − | 702.258i | −0.0203401 | − | 0.0891157i | ||||
\(397\) | −10947.6 | − | 5272.08i | −1.38399 | − | 0.666494i | −0.414143 | − | 0.910212i | \(-0.635919\pi\) |
−0.969846 | + | 0.243718i | \(0.921633\pi\) | |||||||
\(398\) | 3613.19 | − | 1740.02i | 0.455058 | − | 0.219144i | ||||
\(399\) | 171.653 | + | 57.6968i | 0.0215374 | + | 0.00723923i | ||||
\(400\) | 1379.22 | + | 664.197i | 0.172402 | + | 0.0830246i | ||||
\(401\) | 9919.07 | + | 12438.1i | 1.23525 | + | 1.54895i | 0.724613 | + | 0.689157i | \(0.242019\pi\) |
0.510636 | + | 0.859797i | \(0.329410\pi\) | |||||||
\(402\) | 191.183 | − | 92.0689i | 0.0237197 | − | 0.0114228i | ||||
\(403\) | 3258.72 | − | 4086.31i | 0.402800 | − | 0.505096i | ||||
\(404\) | −1416.72 | + | 6207.04i | −0.174466 | + | 0.764386i | ||||
\(405\) | −3849.93 | + | 4827.66i | −0.472357 | + | 0.592317i | ||||
\(406\) | −3316.14 | − | 3235.30i | −0.405363 | − | 0.395481i | ||||
\(407\) | −561.882 | − | 704.577i | −0.0684310 | − | 0.0858098i | ||||
\(408\) | 74.7082 | − | 35.9776i | 0.00906521 | − | 0.00436558i | ||||
\(409\) | 1822.05 | − | 7982.90i | 0.220280 | − | 0.965108i | −0.736988 | − | 0.675905i | \(-0.763753\pi\) |
0.957268 | − | 0.289203i | \(-0.0933901\pi\) | |||||||
\(410\) | 4552.86 | 0.548414 | ||||||||
\(411\) | −333.116 | −0.0399791 | ||||||||
\(412\) | 1221.21 | − | 5350.45i | 0.146030 | − | 0.639801i | ||||
\(413\) | 2586.75 | − | 1670.23i | 0.308197 | − | 0.198999i | ||||
\(414\) | 616.590 | + | 2701.46i | 0.0731974 | + | 0.320699i | ||||
\(415\) | 1340.60 | + | 5873.54i | 0.158572 | + | 0.694749i | ||||
\(416\) | −2123.98 | − | 2663.39i | −0.250329 | − | 0.313902i | ||||
\(417\) | 410.893 | + | 515.243i | 0.0482530 | + | 0.0605074i | ||||
\(418\) | 53.4284 | + | 234.085i | 0.00625184 | + | 0.0273911i | ||||
\(419\) | −3083.42 | − | 13509.4i | −0.359511 | − | 1.57512i | −0.754415 | − | 0.656398i | \(-0.772079\pi\) |
0.394904 | − | 0.918723i | \(-0.370778\pi\) | |||||||
\(420\) | 111.512 | − | 182.428i | 0.0129553 | − | 0.0211943i | ||||
\(421\) | 1042.61 | − | 4567.98i | 0.120698 | − | 0.528812i | −0.878040 | − | 0.478587i | \(-0.841149\pi\) |
0.998738 | − | 0.0502246i | \(-0.0159937\pi\) | |||||||
\(422\) | 1747.73 | 0.201607 | ||||||||
\(423\) | 11191.2 | 1.28637 | ||||||||
\(424\) | −707.244 | + | 3098.64i | −0.0810066 | + | 0.354913i | ||||
\(425\) | 1036.31 | − | 499.063i | 0.118279 | − | 0.0569602i | ||||
\(426\) | −32.9011 | − | 41.2566i | −0.00374193 | − | 0.00469223i | ||||
\(427\) | −601.043 | + | 5998.79i | −0.0681183 | + | 0.679863i | ||||
\(428\) | −6521.69 | + | 8177.94i | −0.736537 | + | 0.923588i | ||||
\(429\) | 3.66537 | − | 16.0590i | 0.000412508 | − | 0.00180731i | ||||
\(430\) | 1382.12 | − | 1733.13i | 0.155004 | − | 0.194369i | ||||
\(431\) | 9609.19 | − | 4627.54i | 1.07392 | − | 0.517171i | 0.188550 | − | 0.982064i | \(-0.439621\pi\) |
0.885367 | + | 0.464892i | \(0.153907\pi\) | |||||||
\(432\) | −206.192 | − | 258.557i | −0.0229639 | − | 0.0287959i | ||||
\(433\) | −5665.85 | − | 2728.53i | −0.628830 | − | 0.302829i | 0.0921912 | − | 0.995741i | \(-0.470613\pi\) |
−0.721022 | + | 0.692913i | \(0.756327\pi\) | |||||||
\(434\) | −3331.03 | + | 5449.42i | −0.368421 | + | 0.602720i | ||||
\(435\) | −323.844 | + | 155.955i | −0.0356945 | + | 0.0171896i | ||||
\(436\) | 6922.70 | + | 3333.80i | 0.760406 | + | 0.366192i | ||||
\(437\) | 853.019 | + | 3737.32i | 0.0933763 | + | 0.409108i | ||||
\(438\) | 148.226 | + | 71.3819i | 0.0161701 | + | 0.00778712i | ||||
\(439\) | 9590.40 | − | 12026.0i | 1.04265 | − | 1.30745i | 0.0924837 | − | 0.995714i | \(-0.470519\pi\) |
0.950170 | − | 0.311732i | \(-0.100909\pi\) | |||||||
\(440\) | 635.281 | 0.0688314 | ||||||||
\(441\) | −7368.72 | − | 5584.55i | −0.795672 | − | 0.603018i | ||||
\(442\) | −515.330 | −0.0554564 | ||||||||
\(443\) | 6152.54 | − | 7715.04i | 0.659855 | − | 0.827432i | −0.333472 | − | 0.942760i | \(-0.608220\pi\) |
0.993328 | + | 0.115328i | \(0.0367918\pi\) | |||||||
\(444\) | −265.667 | − | 127.938i | −0.0283963 | − | 0.0136750i | ||||
\(445\) | 1634.25 | + | 7160.10i | 0.174091 | + | 0.762744i | ||||
\(446\) | 146.620 | + | 70.6083i | 0.0155665 | + | 0.00749641i | ||||
\(447\) | 5.07294 | − | 2.44300i | 0.000536782 | − | 0.000258501i | ||||
\(448\) | −109.997 | − | 107.315i | −0.0116001 | − | 0.0113173i | ||||
\(449\) | 3971.57 | + | 1912.61i | 0.417438 | + | 0.201028i | 0.630800 | − | 0.775946i | \(-0.282727\pi\) |
−0.213362 | + | 0.976973i | \(0.568441\pi\) | |||||||
\(450\) | 1100.61 | + | 1380.12i | 0.115296 | + | 0.144577i | ||||
\(451\) | 1602.75 | − | 771.846i | 0.167341 | − | 0.0805871i | ||||
\(452\) | 5922.15 | − | 7426.14i | 0.616271 | − | 0.772779i | ||||
\(453\) | 26.9934 | − | 118.266i | 0.00279969 | − | 0.0122662i | ||||
\(454\) | −3144.30 | + | 3942.83i | −0.325043 | + | 0.407591i | ||||
\(455\) | −2501.59 | + | 1615.24i | −0.257750 | + | 0.166426i | ||||
\(456\) | 109.767 | + | 137.644i | 0.0112726 | + | 0.0141354i | ||||
\(457\) | −11938.3 | + | 5749.20i | −1.22200 | + | 0.588482i | −0.929867 | − | 0.367897i | \(-0.880078\pi\) |
−0.292129 | + | 0.956379i | \(0.594364\pi\) | |||||||
\(458\) | −1433.77 | + | 6281.74i | −0.146278 | + | 0.640887i | ||||
\(459\) | −248.485 | −0.0252686 | ||||||||
\(460\) | 4526.08 | 0.458760 | ||||||||
\(461\) | 3723.25 | − | 16312.6i | 0.376158 | − | 1.64806i | −0.332941 | − | 0.942947i | \(-0.608041\pi\) |
0.709100 | − | 0.705108i | \(-0.249102\pi\) | |||||||
\(462\) | −2.00673 | + | 20.0284i | −0.000202082 | + | 0.00201690i | ||||
\(463\) | 2779.92 | + | 12179.6i | 0.279036 | + | 1.22254i | 0.899015 | + | 0.437918i | \(0.144284\pi\) |
−0.619979 | + | 0.784619i | \(0.712859\pi\) | |||||||
\(464\) | 1301.22 | + | 5701.00i | 0.130188 | + | 0.570393i | ||||
\(465\) | 308.950 | + | 387.411i | 0.0308112 | + | 0.0386360i | ||||
\(466\) | −4157.54 | − | 5213.38i | −0.413292 | − | 0.518252i | ||||
\(467\) | −2383.24 | − | 10441.7i | −0.236152 | − | 1.03465i | −0.944429 | − | 0.328716i | \(-0.893384\pi\) |
0.708277 | − | 0.705935i | \(-0.249473\pi\) | |||||||
\(468\) | 730.406 | + | 3200.12i | 0.0721432 | + | 0.316080i | ||||
\(469\) | −14872.2 | + | 1861.80i | −1.46425 | + | 0.183305i | ||||
\(470\) | −980.075 | + | 4293.99i | −0.0961862 | + | 0.421419i | ||||
\(471\) | −368.220 | −0.0360227 | ||||||||
\(472\) | 2993.46 | 0.291918 | ||||||||
\(473\) | 192.735 | − | 844.428i | 0.0187357 | − | 0.0820863i | ||||
\(474\) | −16.4080 | + | 7.90165i | −0.00158996 | + | 0.000765685i | ||||
\(475\) | 1522.64 | + | 1909.33i | 0.147081 | + | 0.184433i | ||||
\(476\) | −2593.36 | + | 324.654i | −0.249720 | + | 0.0312616i | ||||
\(477\) | 2966.77 | − | 3720.21i | 0.284778 | − | 0.357100i | ||||
\(478\) | −393.431 | + | 1723.73i | −0.0376467 | + | 0.164941i | ||||
\(479\) | −1701.95 | + | 2134.18i | −0.162347 | + | 0.203577i | −0.856351 | − | 0.516395i | \(-0.827274\pi\) |
0.694004 | + | 0.719971i | \(0.255845\pi\) | |||||||
\(480\) | 290.985 | − | 140.131i | 0.0276700 | − | 0.0133252i | ||||
\(481\) | 2560.44 | + | 3210.69i | 0.242715 | + | 0.304355i | ||||
\(482\) | −5349.17 | − | 2576.02i | −0.505493 | − | 0.243433i | ||||
\(483\) | −32.0388 | + | 319.767i | −0.00301825 | + | 0.0301241i | ||||
\(484\) | −7631.03 | + | 3674.91i | −0.716663 | + | 0.345127i | ||||
\(485\) | 8124.94 | + | 3912.77i | 0.760690 | + | 0.366329i | ||||
\(486\) | −127.322 | − | 557.835i | −0.0118836 | − | 0.0520657i | ||||
\(487\) | 1596.84 | + | 768.997i | 0.148583 | + | 0.0715536i | 0.506697 | − | 0.862124i | \(-0.330866\pi\) |
−0.358115 | + | 0.933678i | \(0.616580\pi\) | |||||||
\(488\) | −3654.35 | + | 4582.41i | −0.338985 | + | 0.425073i | ||||
\(489\) | 390.210 | 0.0360857 | ||||||||
\(490\) | 2788.07 | − | 2338.25i | 0.257045 | − | 0.215574i | ||||
\(491\) | −20216.2 | −1.85814 | −0.929068 | − | 0.369909i | \(-0.879389\pi\) | ||||
−0.929068 | + | 0.369909i | \(0.879389\pi\) | |||||||
\(492\) | 362.909 | − | 455.074i | 0.0332545 | − | 0.0416998i | ||||
\(493\) | 3958.64 | + | 1906.38i | 0.361640 | + | 0.174156i | ||||
\(494\) | −243.468 | − | 1066.70i | −0.0221743 | − | 0.0971522i | ||||
\(495\) | −856.903 | − | 412.663i | −0.0778079 | − | 0.0374703i | ||||
\(496\) | 7263.07 | − | 3497.71i | 0.657503 | − | 0.316637i | ||||
\(497\) | 1274.36 | + | 3502.67i | 0.115016 | + | 0.316129i | ||||
\(498\) | −167.200 | − | 80.5192i | −0.0150450 | − | 0.00724528i | ||||
\(499\) | 871.661 | + | 1093.03i | 0.0781982 | + | 0.0980574i | 0.819392 | − | 0.573234i | \(-0.194311\pi\) |
−0.741194 | + | 0.671291i | \(0.765740\pi\) | |||||||
\(500\) | 8777.91 | − | 4227.22i | 0.785120 | − | 0.378094i | ||||
\(501\) | −215.027 | + | 269.636i | −0.0191751 | + | 0.0240448i | ||||
\(502\) | 2048.27 | − | 8974.07i | 0.182109 | − | 0.797873i | ||||
\(503\) | −10825.3 | + | 13574.5i | −0.959598 | + | 1.20330i | 0.0194794 | + | 0.999810i | \(0.493799\pi\) |
−0.979077 | + | 0.203488i | \(0.934772\pi\) | |||||||
\(504\) | −3073.21 | − | 8446.94i | −0.271611 | − | 0.746541i | ||||
\(505\) | 5241.30 | + | 6572.39i | 0.461851 | + | 0.579143i | ||||
\(506\) | −383.900 | + | 184.877i | −0.0337282 | + | 0.0162426i | ||||
\(507\) | 86.1485 | − | 377.441i | 0.00754633 | − | 0.0330626i | ||||
\(508\) | −11936.6 | −1.04252 | ||||||||
\(509\) | −3614.55 | −0.314759 | −0.157379 | − | 0.987538i | \(-0.550305\pi\) | ||||
−0.157379 | + | 0.987538i | \(0.550305\pi\) | |||||||
\(510\) | 10.8717 | − | 47.6319i | 0.000943933 | − | 0.00413564i | ||||
\(511\) | −8317.74 | − | 8114.97i | −0.720069 | − | 0.702515i | ||||
\(512\) | −2102.99 | − | 9213.78i | −0.181523 | − | 0.795304i | ||||
\(513\) | −117.397 | − | 514.350i | −0.0101037 | − | 0.0442673i | ||||
\(514\) | 5728.58 | + | 7183.42i | 0.491590 | + | 0.616434i | ||||
\(515\) | −4517.99 | − | 5665.38i | −0.386575 | − | 0.484750i | ||||
\(516\) | −63.0627 | − | 276.296i | −0.00538019 | − | 0.0235722i | ||||
\(517\) | 382.941 | + | 1677.78i | 0.0325759 | + | 0.142724i | ||||
\(518\) | −3591.96 | − | 3504.40i | −0.304675 | − | 0.297248i | ||||
\(519\) | −68.8350 | + | 301.586i | −0.00582181 | + | 0.0255070i | ||||
\(520\) | −2894.91 | −0.244135 | ||||||||
\(521\) | −10816.8 | −0.909579 | −0.454790 | − | 0.890599i | \(-0.650286\pi\) | ||||
−0.454790 | + | 0.890599i | \(0.650286\pi\) | |||||||
\(522\) | −1500.48 | + | 6574.03i | −0.125813 | + | 0.551221i | ||||
\(523\) | 12308.6 | − | 5927.51i | 1.02910 | − | 0.495587i | 0.158384 | − | 0.987378i | \(-0.449372\pi\) |
0.870714 | + | 0.491791i | \(0.163657\pi\) | |||||||
\(524\) | −4278.75 | − | 5365.39i | −0.356714 | − | 0.447306i | ||||
\(525\) | 69.9973 | + | 192.392i | 0.00581892 | + | 0.0159937i | ||||
\(526\) | −1711.50 | + | 2146.15i | −0.141872 | + | 0.177902i | ||||
\(527\) | 1347.84 | − | 5905.29i | 0.111410 | − | 0.488119i | ||||
\(528\) | 15.8405 | − | 19.8634i | 0.00130562 | − | 0.00163720i | ||||
\(529\) | 4832.86 | − | 2327.38i | 0.397211 | − | 0.191287i | ||||
\(530\) | 1167.60 | + | 1464.13i | 0.0956931 | + | 0.119995i | ||||
\(531\) | −4037.75 | − | 1944.48i | −0.329988 | − | 0.158914i | ||||
\(532\) | −1897.25 | − | 5214.73i | −0.154617 | − | 0.424976i | ||||
\(533\) | −7303.59 | + | 3517.22i | −0.593534 | + | 0.285831i | ||||
\(534\) | −203.824 | − | 98.1563i | −0.0165174 | − | 0.00795438i | ||||
\(535\) | 3073.26 | + | 13464.8i | 0.248352 | + | 1.08810i | ||||
\(536\) | −13128.3 | − | 6322.27i | −1.05794 | − | 0.509479i | ||||
\(537\) | −419.043 | + | 525.464i | −0.0336742 | + | 0.0422261i | ||||
\(538\) | −1026.00 | −0.0822192 | ||||||||
\(539\) | 585.086 | − | 1295.80i | 0.0467559 | − | 0.103551i | ||||
\(540\) | −622.902 | −0.0496397 | ||||||||
\(541\) | −6939.25 | + | 8701.55i | −0.551464 | + | 0.691513i | −0.976954 | − | 0.213449i | \(-0.931530\pi\) |
0.425491 | + | 0.904963i | \(0.360102\pi\) | |||||||
\(542\) | 5738.08 | + | 2763.31i | 0.454745 | + | 0.218994i | ||||
\(543\) | −160.301 | − | 702.326i | −0.0126688 | − | 0.0555059i | ||||
\(544\) | −3556.98 | − | 1712.95i | −0.280339 | − | 0.135004i | ||||
\(545\) | 9140.57 | − | 4401.86i | 0.718420 | − | 0.345973i | ||||
\(546\) | 9.14448 | − | 91.2676i | 0.000716754 | − | 0.00715365i | ||||
\(547\) | 4834.37 | + | 2328.11i | 0.377884 | + | 0.181980i | 0.613178 | − | 0.789945i | \(-0.289891\pi\) |
−0.235293 | + | 0.971924i | \(0.575605\pi\) | |||||||
\(548\) | 6364.36 | + | 7980.65i | 0.496116 | + | 0.622110i | ||||
\(549\) | 7905.81 | − | 3807.24i | 0.614593 | − | 0.295973i | ||||
\(550\) | −169.245 | + | 212.227i | −0.0131212 | + | 0.0164534i | ||||
\(551\) | −2075.83 | + | 9094.83i | −0.160496 | + | 0.703181i | ||||
\(552\) | −194.796 | + | 244.267i | −0.0150201 | + | 0.0188346i | ||||
\(553\) | 1276.38 | − | 159.786i | 0.0981506 | − | 0.0122871i | ||||
\(554\) | −739.052 | − | 926.742i | −0.0566775 | − | 0.0710713i | ||||
\(555\) | −350.780 | + | 168.927i | −0.0268284 | + | 0.0129199i | ||||
\(556\) | 4493.66 | − | 19688.0i | 0.342758 | − | 1.50172i | ||||
\(557\) | 19698.8 | 1.49850 | 0.749251 | − | 0.662286i | \(-0.230414\pi\) | ||||
0.749251 | + | 0.662286i | \(0.230414\pi\) | |||||||
\(558\) | 9295.90 | 0.705245 | ||||||||
\(559\) | −878.274 | + | 3847.97i | −0.0664527 | + | 0.291148i | ||||
\(560\) | −4557.25 | + | 570.506i | −0.343891 | + | 0.0430505i | ||||
\(561\) | −4.24785 | − | 18.6110i | −0.000319687 | − | 0.00140064i | ||||
\(562\) | −192.392 | − | 842.924i | −0.0144405 | − | 0.0632680i | ||||
\(563\) | 568.763 | + | 713.206i | 0.0425764 | + | 0.0533891i | 0.802664 | − | 0.596432i | \(-0.203415\pi\) |
−0.760087 | + | 0.649821i | \(0.774844\pi\) | |||||||
\(564\) | 351.077 | + | 440.237i | 0.0262110 | + | 0.0328676i | ||||
\(565\) | −2790.73 | − | 12227.0i | −0.207800 | − | 0.910432i | ||||
\(566\) | −451.800 | − | 1979.47i | −0.0335523 | − | 0.147002i | ||||
\(567\) | −1339.39 | + | 13368.0i | −0.0992050 | + | 0.990127i | ||||
\(568\) | −806.329 | + | 3532.76i | −0.0595648 | + | 0.260970i | ||||
\(569\) | 3777.51 | 0.278315 | 0.139158 | − | 0.990270i | \(-0.455561\pi\) | ||||
0.139158 | + | 0.990270i | \(0.455561\pi\) | |||||||
\(570\) | 103.731 | 0.00762251 | ||||||||
\(571\) | −557.494 | + | 2442.54i | −0.0408589 | + | 0.179014i | −0.991240 | − | 0.132074i | \(-0.957836\pi\) |
0.950381 | + | 0.311088i | \(0.100693\pi\) | |||||||
\(572\) | −454.765 | + | 219.003i | −0.0332424 | + | 0.0160087i | ||||
\(573\) | −330.071 | − | 413.896i | −0.0240644 | − | 0.0301758i | ||||
\(574\) | 8321.93 | − | 5373.37i | 0.605141 | − | 0.390732i | ||||
\(575\) | −2702.12 | + | 3388.35i | −0.195976 | + | 0.245746i | ||||
\(576\) | −49.7710 | + | 218.061i | −0.00360034 | + | 0.0157741i | ||||
\(577\) | −5498.56 | + | 6894.98i | −0.396721 | + | 0.497473i | −0.939570 | − | 0.342358i | \(-0.888774\pi\) |
0.542848 | + | 0.839831i | \(0.317346\pi\) | |||||||
\(578\) | 4978.66 | − | 2397.60i | 0.358279 | − | 0.172538i | ||||
\(579\) | 184.091 | + | 230.843i | 0.0132134 | + | 0.0165691i | ||||
\(580\) | 9923.52 | + | 4778.91i | 0.710434 | + | 0.342127i | ||||
\(581\) | 9382.46 | + | 9153.73i | 0.669966 | + | 0.653633i | ||||
\(582\) | −250.276 | + | 120.526i | −0.0178252 | + | 0.00858416i | ||||
\(583\) | 659.246 | + | 317.476i | 0.0468322 | + | 0.0225532i | ||||
\(584\) | −2513.89 | − | 11014.1i | −0.178126 | − | 0.780420i | ||||
\(585\) | 3904.82 | + | 1880.46i | 0.275973 | + | 0.132902i | ||||
\(586\) | 2179.52 | − | 2733.04i | 0.153644 | − | 0.192663i | ||||
\(587\) | −24302.6 | −1.70882 | −0.854409 | − | 0.519601i | \(-0.826080\pi\) | ||||
−0.854409 | + | 0.519601i | \(0.826080\pi\) | |||||||
\(588\) | −11.4789 | − | 465.059i | −0.000805075 | − | 0.0326169i | ||||
\(589\) | 12860.4 | 0.899666 | ||||||||
\(590\) | 1099.69 | − | 1378.97i | 0.0767347 | − | 0.0962223i | ||||
\(591\) | 300.813 | + | 144.864i | 0.0209370 | + | 0.0100827i | ||||
\(592\) | 1409.44 | + | 6175.18i | 0.0978511 | + | 0.428714i | ||||
\(593\) | −6269.51 | − | 3019.24i | −0.434162 | − | 0.209081i | 0.204020 | − | 0.978967i | \(-0.434599\pi\) |
−0.638182 | + | 0.769885i | \(0.720313\pi\) | |||||||
\(594\) | 52.8344 | − | 25.4437i | 0.00364953 | − | 0.00175752i | ||||
\(595\) | −1799.82 | + | 2944.43i | −0.124009 | + | 0.202874i | ||||
\(596\) | −155.450 | − | 74.8606i | −0.0106837 | − | 0.00514498i | ||||
\(597\) | −422.078 | − | 529.269i | −0.0289355 | − | 0.0362840i | ||||
\(598\) | 1749.39 | − | 842.464i | 0.119629 | − | 0.0576102i | ||||
\(599\) | 4613.53 | − | 5785.18i | 0.314697 | − | 0.394618i | −0.599176 | − | 0.800617i | \(-0.704505\pi\) |
0.913873 | + | 0.405999i | \(0.133076\pi\) | |||||||
\(600\) | −44.2895 | + | 194.045i | −0.00301352 | + | 0.0132031i | ||||
\(601\) | 11656.9 | − | 14617.3i | 0.791175 | − | 0.992103i | −0.208725 | − | 0.977974i | \(-0.566931\pi\) |
0.999900 | − | 0.0141283i | \(-0.00449731\pi\) | |||||||
\(602\) | 480.841 | − | 4799.09i | 0.0325542 | − | 0.324911i | ||||
\(603\) | 13601.5 | + | 17055.7i | 0.918564 | + | 1.15184i | ||||
\(604\) | −3349.08 | + | 1612.83i | −0.225616 | + | 0.108651i | ||||
\(605\) | −2488.53 | + | 10902.9i | −0.167228 | + | 0.732674i | ||||
\(606\) | −258.946 | −0.0173580 | ||||||||
\(607\) | −5906.40 | −0.394948 | −0.197474 | − | 0.980308i | \(-0.563274\pi\) | ||||
−0.197474 | + | 0.980308i | \(0.563274\pi\) | |||||||
\(608\) | 1865.21 | − | 8172.03i | 0.124415 | − | 0.545098i | ||||
\(609\) | −407.876 | + | 667.268i | −0.0271395 | + | 0.0443991i | ||||
\(610\) | 768.455 | + | 3366.82i | 0.0510063 | + | 0.223473i | ||||
\(611\) | −1745.02 | − | 7645.45i | −0.115542 | − | 0.506222i | ||||
\(612\) | 2371.78 | + | 2974.11i | 0.156656 | + | 0.196440i | ||||
\(613\) | 16803.7 | + | 21071.1i | 1.10717 | + | 1.38834i | 0.913286 | + | 0.407318i | \(0.133536\pi\) |
0.193880 | + | 0.981025i | \(0.437893\pi\) | |||||||
\(614\) | 2215.18 | + | 9705.34i | 0.145598 | + | 0.637908i | ||||
\(615\) | −171.016 | − | 749.271i | −0.0112131 | − | 0.0491277i | ||||
\(616\) | 1161.20 | − | 749.770i | 0.0759512 | − | 0.0490407i | ||||
\(617\) | 6281.36 | − | 27520.4i | 0.409851 | − | 1.79567i | −0.175038 | − | 0.984562i | \(-0.556005\pi\) |
0.584889 | − | 0.811113i | \(-0.301138\pi\) | |||||||
\(618\) | 223.210 | 0.0145289 | ||||||||
\(619\) | −6231.29 | −0.404615 | −0.202307 | − | 0.979322i | \(-0.564844\pi\) | ||||
−0.202307 | + | 0.979322i | \(0.564844\pi\) | |||||||
\(620\) | 3378.77 | − | 14803.4i | 0.218863 | − | 0.958900i | ||||
\(621\) | 843.536 | − | 406.226i | 0.0545088 | − | 0.0262500i | ||||
\(622\) | 2194.22 | + | 2751.46i | 0.141447 | + | 0.177369i | ||||
\(623\) | 11437.6 | + | 11158.8i | 0.735535 | + | 0.717604i | ||||
\(624\) | −72.1836 | + | 90.5154i | −0.00463086 | + | 0.00580691i | ||||
\(625\) | 1401.00 | − | 6138.17i | 0.0896639 | − | 0.392843i | ||||
\(626\) | 2827.81 | − | 3545.96i | 0.180546 | − | 0.226398i | ||||
\(627\) | 36.5168 | − | 17.5856i | 0.00232590 | − | 0.00112010i | ||||
\(628\) | 7035.04 | + | 8821.67i | 0.447020 | + | 0.560546i | ||||
\(629\) | 4287.91 | + | 2064.95i | 0.271812 | + | 0.130898i | ||||
\(630\) | −5020.15 | − | 1687.39i | −0.317472 | − | 0.106710i | ||||
\(631\) | −4804.20 | + | 2313.58i | −0.303094 | + | 0.145962i | −0.579249 | − | 0.815151i | \(-0.696654\pi\) |
0.276155 | + | 0.961113i | \(0.410940\pi\) | |||||||
\(632\) | 1126.72 | + | 542.598i | 0.0709152 | + | 0.0341510i | ||||
\(633\) | −65.6489 | − | 287.626i | −0.00412213 | − | 0.0180602i | ||||
\(634\) | −3761.42 | − | 1811.40i | −0.235623 | − | 0.113470i | ||||
\(635\) | −9826.68 | + | 12322.3i | −0.614110 | + | 0.770069i | ||||
\(636\) | 239.414 | 0.0149267 | ||||||||
\(637\) | −2666.18 | + | 5904.83i | −0.165836 | + | 0.367281i | ||||
\(638\) | −1036.91 | −0.0643445 | ||||||||
\(639\) | 3382.41 | − | 4241.41i | 0.209399 | − | 0.262579i | ||||
\(640\) | −11144.3 | − | 5366.83i | −0.688311 | − | 0.331473i | ||||
\(641\) | 1092.93 | + | 4788.46i | 0.0673452 | + | 0.295059i | 0.997374 | − | 0.0724291i | \(-0.0230751\pi\) |
−0.930028 | + | 0.367488i | \(0.880218\pi\) | |||||||
\(642\) | −383.298 | − | 184.587i | −0.0235632 | − | 0.0113474i | ||||
\(643\) | −6487.50 | + | 3124.21i | −0.397888 | + | 0.191613i | −0.622118 | − | 0.782923i | \(-0.713728\pi\) |
0.224230 | + | 0.974536i | \(0.428013\pi\) | |||||||
\(644\) | 8272.97 | − | 5341.76i | 0.506212 | − | 0.326855i | ||||
\(645\) | −337.139 | − | 162.358i | −0.0205811 | − | 0.00991136i | ||||
\(646\) | −790.589 | − | 991.367i | −0.0481506 | − | 0.0603790i | ||||
\(647\) | −20620.8 | + | 9930.45i | −1.25299 | + | 0.603410i | −0.938313 | − | 0.345788i | \(-0.887612\pi\) |
−0.314681 | + | 0.949198i | \(0.601897\pi\) | |||||||
\(648\) | −8143.52 | + | 10211.7i | −0.493685 | + | 0.619061i | ||||
\(649\) | 153.350 | − | 671.871i | 0.00927507 | − | 0.0406367i | ||||
\(650\) | 771.234 | − | 967.097i | 0.0465389 | − | 0.0583579i | ||||
\(651\) | 1021.94 | + | 343.499i | 0.0615254 | + | 0.0206802i | ||||
\(652\) | −7455.17 | − | 9348.48i | −0.447802 | − | 0.561526i | ||||
\(653\) | −3912.93 | + | 1884.37i | −0.234494 | + | 0.112927i | −0.547441 | − | 0.836844i | \(-0.684398\pi\) |
0.312947 | + | 0.949771i | \(0.398684\pi\) | |||||||
\(654\) | −69.5397 | + | 304.673i | −0.00415782 | + | 0.0182166i | ||||
\(655\) | −9061.20 | −0.540535 | ||||||||
\(656\) | −12503.1 | −0.744155 | ||||||||
\(657\) | −3763.59 | + | 16489.4i | −0.223488 | + | 0.979165i | ||||
\(658\) | 3276.41 | + | 9005.45i | 0.194115 | + | 0.533540i | ||||
\(659\) | −5897.70 | − | 25839.5i | −0.348622 | − | 1.52741i | −0.780313 | − | 0.625389i | \(-0.784940\pi\) |
0.431691 | − | 0.902021i | \(-0.357917\pi\) | |||||||
\(660\) | −10.6485 | − | 46.6541i | −0.000628018 | − | 0.00275153i | ||||
\(661\) | −17153.2 | − | 21509.5i | −1.00935 | − | 1.26569i | −0.963771 | − | 0.266730i | \(-0.914057\pi\) |
−0.0455835 | − | 0.998961i | \(-0.514515\pi\) | |||||||
\(662\) | −9116.46 | − | 11431.7i | −0.535229 | − | 0.671155i | ||||
\(663\) | 19.3570 | + | 84.8086i | 0.00113388 | + | 0.00496786i | ||||
\(664\) | 2835.68 | + | 12423.9i | 0.165732 | + | 0.726118i | ||||
\(665\) | −6945.12 | − | 2334.42i | −0.404993 | − | 0.136128i | ||||
\(666\) | −1625.28 | + | 7120.83i | −0.0945622 | + | 0.414304i | ||||
\(667\) | −16555.0 | −0.961039 | ||||||||
\(668\) | 10568.0 | 0.612110 | ||||||||
\(669\) | 6.11273 | − | 26.7816i | 0.000353261 | − | 0.00154774i | ||||
\(670\) | −7735.29 | + | 3725.12i | −0.446030 | + | 0.214797i | ||||
\(671\) | 841.297 | + | 1054.95i | 0.0484023 | + | 0.0606945i | ||||
\(672\) | 366.491 | − | 599.564i | 0.0210383 | − | 0.0344177i | ||||
\(673\) | 20905.4 | − | 26214.5i | 1.19739 | − | 1.50148i | 0.380403 | − | 0.924821i | \(-0.375785\pi\) |
0.816986 | − | 0.576657i | \(-0.195643\pi\) | |||||||
\(674\) | 613.306 | − | 2687.07i | 0.0350500 | − | 0.153564i | ||||
\(675\) | 371.879 | − | 466.322i | 0.0212054 | − | 0.0265907i | ||||
\(676\) | −10688.5 | + | 5147.30i | −0.608130 | + | 0.292860i | ||||
\(677\) | −10391.1 | − | 13030.1i | −0.589902 | − | 0.739714i | 0.393864 | − | 0.919169i | \(-0.371138\pi\) |
−0.983766 | + | 0.179455i | \(0.942567\pi\) | |||||||
\(678\) | 348.061 | + | 167.618i | 0.0197157 | + | 0.00949456i | ||||
\(679\) | 19469.1 | − | 2437.26i | 1.10037 | − | 0.137752i | ||||
\(680\) | −3022.71 | + | 1455.66i | −0.170464 | + | 0.0820911i | ||||
\(681\) | 766.986 | + | 369.361i | 0.0431585 | + | 0.0207841i | ||||
\(682\) | 318.087 | + | 1393.63i | 0.0178595 | + | 0.0782476i | ||||
\(683\) | −11070.5 | − | 5331.25i | −0.620204 | − | 0.298674i | 0.0972720 | − | 0.995258i | \(-0.468988\pi\) |
−0.717476 | + | 0.696583i | \(0.754703\pi\) | |||||||
\(684\) | −5035.69 | + | 6314.56i | −0.281498 | + | 0.352987i | ||||
\(685\) | 13477.9 | 0.751773 | ||||||||
\(686\) | 2336.51 | − | 7564.49i | 0.130041 | − | 0.421011i | ||||
\(687\) | 1087.65 | 0.0604024 | ||||||||
\(688\) | −3795.61 | + | 4759.54i | −0.210329 | + | 0.263744i | ||||
\(689\) | −3004.12 | − | 1446.71i | −0.166107 | − | 0.0799929i | ||||
\(690\) | 40.9627 | + | 179.470i | 0.00226004 | + | 0.00990187i | ||||
\(691\) | 14542.9 | + | 7003.51i | 0.800636 | + | 0.385566i | 0.789021 | − | 0.614367i | \(-0.210588\pi\) |
0.0116152 | + | 0.999933i | \(0.496303\pi\) | |||||||
\(692\) | 8540.40 | − | 4112.84i | 0.469158 | − | 0.225935i | ||||
\(693\) | −2053.32 | + | 257.048i | −0.112553 | + | 0.0140901i | ||||
\(694\) | −4654.20 | − | 2241.34i | −0.254569 | − | 0.122594i | ||||
\(695\) | −16624.8 | − | 20846.8i | −0.907359 | − | 1.13779i | ||||
\(696\) | −685.007 | + | 329.882i | −0.0373062 | + | 0.0179657i | ||||
\(697\) | −5857.42 | + | 7344.98i | −0.318315 | + | 0.399155i | ||||
\(698\) | −35.5434 | + | 155.726i | −0.00192742 | + | 0.00844457i | ||||
\(699\) | −701.808 | + | 880.039i | −0.0379754 | + | 0.0476196i | ||||
\(700\) | 3271.92 | − | 5352.73i | 0.176667 | − | 0.289020i | ||||
\(701\) | −3101.59 | − | 3889.27i | −0.167112 | − | 0.209552i | 0.691223 | − | 0.722641i | \(-0.257072\pi\) |
−0.858335 | + | 0.513090i | \(0.828501\pi\) | |||||||
\(702\) | −240.761 | + | 115.944i | −0.0129444 | + | 0.00623367i | ||||
\(703\) | −2248.49 | + | 9851.29i | −0.120631 | + | 0.528519i | ||||
\(704\) | −34.3945 | −0.00184133 | ||||||||
\(705\) | 743.482 | 0.0397180 | ||||||||
\(706\) | −2432.84 | + | 10659.0i | −0.129690 | + | 0.568208i | ||||
\(707\) | 17337.1 | + | 5827.44i | 0.922250 | + | 0.309991i | ||||
\(708\) | −50.1760 | − | 219.835i | −0.00266346 | − | 0.0116694i | ||||
\(709\) | −4820.24 | − | 21118.8i | −0.255328 | − | 1.11867i | −0.926182 | − | 0.377077i | \(-0.876929\pi\) |
0.670853 | − | 0.741590i | \(-0.265928\pi\) | |||||||
\(710\) | 1331.18 | + | 1669.25i | 0.0703639 | + | 0.0882336i | ||||
\(711\) | −1167.32 | − | 1463.78i | −0.0615724 | − | 0.0772094i | ||||
\(712\) | 3456.82 | + | 15145.3i | 0.181952 | + | 0.797183i | ||||
\(713\) | 5078.47 | + | 22250.2i | 0.266746 | + | 1.16869i | ||||
\(714\) | −36.3443 | − | 99.8947i | −0.00190497 | − | 0.00523595i | ||||
\(715\) | −148.302 | + | 649.752i | −0.00775687 | + | 0.0339851i | ||||
\(716\) | 20594.9 | 1.07495 | ||||||||
\(717\) | 298.456 | 0.0155454 | ||||||||
\(718\) | −323.315 | + | 1416.54i | −0.0168050 | + | 0.0736276i | ||||
\(719\) | −1728.73 | + | 832.510i | −0.0896670 | + | 0.0431814i | −0.478180 | − | 0.878262i | \(-0.658703\pi\) |
0.388513 | + | 0.921443i | \(0.372989\pi\) | |||||||
\(720\) | 4167.86 | + | 5226.33i | 0.215732 | + | 0.270519i | ||||
\(721\) | −14944.6 | − | 5023.23i | −0.771934 | − | 0.259466i | ||||
\(722\) | −3651.31 | + | 4578.60i | −0.188210 | + | 0.236008i | ||||
\(723\) | −223.013 | + | 977.082i | −0.0114715 | + | 0.0502601i | ||||
\(724\) | −13763.4 | + | 17258.7i | −0.706508 | + | 0.885934i | ||||
\(725\) | −9502.07 | + | 4575.96i | −0.486756 | + | 0.234409i | ||||
\(726\) | −214.783 | − | 269.329i | −0.0109798 | − | 0.0137682i | ||||
\(727\) | −9340.22 | − | 4498.01i | −0.476492 | − | 0.229466i | 0.180193 | − | 0.983631i | \(-0.442328\pi\) |
−0.656685 | + | 0.754165i | \(0.728042\pi\) | |||||||
\(728\) | −5291.45 | + | 3416.62i | −0.269388 | + | 0.173940i | ||||
\(729\) | 17559.6 | − | 8456.25i | 0.892119 | − | 0.429622i | ||||
\(730\) | −5997.25 | − | 2888.12i | −0.304066 | − | 0.146430i | ||||
\(731\) | 1017.84 | + | 4459.46i | 0.0514997 | + | 0.225635i | ||||
\(732\) | 397.779 | + | 191.560i | 0.0200851 | + | 0.00967250i | ||||
\(733\) | 4310.92 | − | 5405.72i | 0.217227 | − | 0.272394i | −0.661264 | − | 0.750154i | \(-0.729980\pi\) |
0.878491 | + | 0.477759i | \(0.158551\pi\) | |||||||
\(734\) | −883.722 | −0.0444398 | ||||||||
\(735\) | −489.536 | − | 371.006i | −0.0245671 | − | 0.0186187i | ||||
\(736\) | 14875.3 | 0.744986 | ||||||||
\(737\) | −2091.55 | + | 2622.73i | −0.104536 | + | 0.131085i | ||||
\(738\) | −12990.0 | − | 6255.66i | −0.647925 | − | 0.312024i | ||||
\(739\) | −293.572 | − | 1286.22i | −0.0146133 | − | 0.0640251i | 0.967096 | − | 0.254413i | \(-0.0818824\pi\) |
−0.981709 | + | 0.190388i | \(0.939025\pi\) | |||||||
\(740\) | 10748.9 | + | 5176.40i | 0.533970 | + | 0.257146i | ||||
\(741\) | −166.403 | + | 80.1357i | −0.00824964 | + | 0.00397282i | ||||
\(742\) | 3862.18 | + | 1298.17i | 0.191085 | + | 0.0642283i | ||||
\(743\) | 4519.07 | + | 2176.27i | 0.223134 | + | 0.107456i | 0.542111 | − | 0.840307i | \(-0.317625\pi\) |
−0.318977 | + | 0.947762i | \(0.603339\pi\) | |||||||
\(744\) | 653.502 | + | 819.466i | 0.0322023 | + | 0.0403805i | ||||
\(745\) | −205.252 | + | 98.8441i | −0.0100938 | + | 0.00486090i | ||||
\(746\) | −7951.09 | + | 9970.35i | −0.390228 | + | 0.489330i | ||||
\(747\) | 4245.35 | − | 18600.1i | 0.207938 | − | 0.911034i | ||||
\(748\) | −364.718 | + | 457.342i | −0.0178281 | + | 0.0223557i | ||||
\(749\) | 21508.9 | + | 20984.5i | 1.04929 | + | 1.02371i | ||||
\(750\) | 247.062 | + | 309.807i | 0.0120286 | + | 0.0150834i | ||||
\(751\) | 25318.1 | − | 12192.5i | 1.23019 | − | 0.592426i | 0.298055 | − | 0.954549i | \(-0.403662\pi\) |
0.932130 | + | 0.362123i | \(0.117948\pi\) | |||||||
\(752\) | 2691.50 | − | 11792.2i | 0.130517 | − | 0.571833i | ||||
\(753\) | −1553.81 | −0.0751981 | ||||||||
\(754\) | 4725.11 | 0.228221 | ||||||||
\(755\) | −1092.16 | + | 4785.05i | −0.0526458 | + | 0.230657i | ||||
\(756\) | −1138.57 | + | 735.160i | −0.0547743 | + | 0.0353671i | ||||
\(757\) | 3575.83 | + | 15666.7i | 0.171685 | + | 0.752202i | 0.985305 | + | 0.170805i | \(0.0546367\pi\) |
−0.813620 | + | 0.581398i | \(0.802506\pi\) | |||||||
\(758\) | 396.703 | + | 1738.07i | 0.0190091 | + | 0.0832843i | ||||
\(759\) | 44.8457 | + | 56.2347i | 0.00214466 | + | 0.00268931i | ||||
\(760\) | −4441.20 | − | 5569.09i | −0.211973 | − | 0.265805i | ||||
\(761\) | 2302.07 | + | 10086.0i | 0.109658 | + | 0.480445i | 0.999698 | + | 0.0245622i | \(0.00781917\pi\) |
−0.890040 | + | 0.455883i | \(0.849324\pi\) | |||||||
\(762\) | −108.031 | − | 473.313i | −0.00513587 | − | 0.0225017i | ||||
\(763\) | 11512.4 | − | 18833.8i | 0.546234 | − | 0.893616i | ||||
\(764\) | −3609.76 | + | 15815.4i | −0.170938 | + | 0.748928i | ||||
\(765\) | 5022.76 | 0.237383 | ||||||||
\(766\) | 15433.1 | 0.727963 | ||||||||
\(767\) | −698.801 | + | 3061.65i | −0.0328973 | + | 0.144133i | ||||
\(768\) | 330.701 | − | 159.257i | 0.0155380 | − | 0.00748269i | ||||
\(769\) | −1168.47 | − | 1465.21i | −0.0547934 | − | 0.0687087i | 0.753680 | − | 0.657242i | \(-0.228277\pi\) |
−0.808473 | + | 0.588533i | \(0.799706\pi\) | |||||||
\(770\) | 81.1927 | − | 810.354i | 0.00379998 | − | 0.0379262i | ||||
\(771\) | 967.007 | − | 1212.59i | 0.0451698 | − | 0.0566411i | ||||
\(772\) | 2013.28 | − | 8820.76i | 0.0938596 | − | 0.411226i | ||||
\(773\) | 14789.5 | − | 18545.4i | 0.688152 | − | 0.862915i | −0.307925 | − | 0.951411i | \(-0.599634\pi\) |
0.996077 | + | 0.0884956i | \(0.0282059\pi\) | |||||||
\(774\) | −6324.73 | + | 3045.83i | −0.293718 | + | 0.141447i | ||||
\(775\) | 9065.05 | + | 11367.2i | 0.420163 | + | 0.526867i | ||||
\(776\) | 17186.2 | + | 8276.43i | 0.795036 | + | 0.382869i | ||||
\(777\) | −441.801 | + | 722.768i | −0.0203984 | + | 0.0333709i | ||||
\(778\) | 7558.06 | − | 3639.77i | 0.348290 | − | 0.167728i | ||||
\(779\) | −17971.0 | − | 8654.38i | −0.826544 | − | 0.398043i | ||||
\(780\) | 48.5241 | + | 212.598i | 0.00222749 | + | 0.00975926i | ||||
\(781\) | 751.607 | + | 361.955i | 0.0344361 | + | 0.0165836i | ||||
\(782\) | 1403.00 | − | 1759.31i | 0.0641576 | − | 0.0804511i | ||||
\(783\) | 2278.39 | 0.103988 | ||||||||
\(784\) | −7656.63 | + | 6421.34i | −0.348790 | + | 0.292518i | ||||
\(785\) | 14898.2 | 0.677377 | ||||||||
\(786\) | 174.026 | − | 218.221i | 0.00789732 | − | 0.00990293i | ||||
\(787\) | 1264.94 | + | 609.163i | 0.0572939 | + | 0.0275913i | 0.462311 | − | 0.886718i | \(-0.347020\pi\) |
−0.405017 | + | 0.914309i | \(0.632735\pi\) | |||||||
\(788\) | −2276.60 | − | 9974.44i | −0.102920 | − | 0.450920i | ||||
\(789\) | 417.483 | + | 201.049i | 0.0188375 | + | 0.00907167i | ||||
\(790\) | 663.868 | − | 319.702i | 0.0298979 | − | 0.0143981i | ||||
\(791\) | −19531.6 | − | 19055.4i | −0.877955 | − | 0.856552i | ||||
\(792\) | −1812.55 | − | 872.880i | −0.0813211 | − | 0.0391622i | ||||
\(793\) | −3833.71 | − | 4807.31i | −0.171676 | − | 0.215275i | ||||
\(794\) | −13644.1 | + | 6570.65i | −0.609837 | + | 0.293682i | ||||
\(795\) | 197.095 | − | 247.150i | 0.00879277 | − | 0.0110258i | ||||
\(796\) | −4615.98 | + | 20223.9i | −0.205539 | + | 0.900526i | ||||
\(797\) | 11147.1 | − | 13978.0i | 0.495422 | − | 0.621239i | −0.469768 | − | 0.882790i | \(-0.655662\pi\) |
0.965190 | + | 0.261551i | \(0.0842339\pi\) | |||||||
\(798\) | 189.605 | − | 122.426i | 0.00841097 | − | 0.00543086i | ||||
\(799\) | −5666.45 | − | 7105.50i | −0.250894 | − | 0.314611i | ||||
\(800\) | 8537.95 | − | 4111.66i | 0.377328 | − | 0.181711i | ||||
\(801\) | 5175.26 | − | 22674.3i | 0.228288 | − | 1.00020i | ||||
\(802\) | 19827.5 | 0.872984 | ||||||||
\(803\) | −2600.85 | −0.114299 | ||||||||
\(804\) | −244.243 | + | 1070.10i | −0.0107137 | + | 0.0469396i | ||||
\(805\) | 1296.30 | − | 12937.8i | 0.0567558 | − | 0.566458i | ||||
\(806\) | −1449.49 | − | 6350.63i | −0.0633450 | − | 0.277533i | ||||
\(807\) | 38.5389 | + | 168.850i | 0.00168108 | + | 0.00736531i | ||||
\(808\) | 11086.6 | + | 13902.2i | 0.482705 | + | 0.605293i | ||||
\(809\) | 8159.47 | + | 10231.7i | 0.354601 | + | 0.444655i | 0.926854 | − | 0.375422i | \(-0.122502\pi\) |
−0.572254 | + | 0.820077i | \(0.693931\pi\) | |||||||
\(810\) | 1712.46 | + | 7502.78i | 0.0742836 | + | 0.325458i | ||||
\(811\) | −1147.42 | − | 5027.20i | −0.0496813 | − | 0.217668i | 0.943993 | − | 0.329964i | \(-0.107037\pi\) |
−0.993675 | + | 0.112296i | \(0.964180\pi\) | |||||||
\(812\) | 23778.8 | − | 2976.79i | 1.02768 | − | 0.128651i | ||||
\(813\) | 239.227 | − | 1048.12i | 0.0103199 | − | 0.0452143i | ||||
\(814\) | −1123.16 | −0.0483621 | ||||||||
\(815\) | −15787.9 | −0.678562 | ||||||||
\(816\) | −29.8559 | + | 130.807i | −0.00128084 | + | 0.00561174i | ||||
\(817\) | −8749.94 | + | 4213.75i | −0.374690 | + | 0.180441i | ||||
\(818\) | −6362.74 | − | 7978.62i | −0.271966 | − | 0.341034i | ||||
\(819\) | 9356.77 | − | 1171.34i | 0.399209 | − | 0.0499755i | ||||
\(820\) | −14683.4 | + | 18412.4i | −0.625324 | + | 0.784131i | ||||
\(821\) | −8892.95 | + | 38962.6i | −0.378034 | + | 1.65628i | 0.325445 | + | 0.945561i | \(0.394486\pi\) |
−0.703480 | + | 0.710715i | \(0.748371\pi\) | |||||||
\(822\) | −258.852 | + | 324.590i | −0.0109836 | + | 0.0137729i | ||||
\(823\) | −21752.4 | + | 10475.4i | −0.921314 | + | 0.443681i | −0.833540 | − | 0.552459i | \(-0.813689\pi\) |
−0.0877736 | + | 0.996140i | \(0.527975\pi\) | |||||||
\(824\) | −9556.62 | − | 11983.6i | −0.404030 | − | 0.506637i | ||||
\(825\) | 41.2838 | + | 19.8812i | 0.00174220 | + | 0.000839001i | ||||
\(826\) | 382.582 | − | 3818.41i | 0.0161159 | − | 0.160847i | ||||
\(827\) | −117.057 | + | 56.3716i | −0.00492196 | + | 0.00237029i | −0.436343 | − | 0.899780i | \(-0.643727\pi\) |
0.431421 | + | 0.902151i | \(0.358012\pi\) | |||||||
\(828\) | −12913.6 | − | 6218.86i | −0.542003 | − | 0.261015i | ||||
\(829\) | −2344.79 | − | 10273.2i | −0.0982364 | − | 0.430402i | 0.901762 | − | 0.432233i | \(-0.142274\pi\) |
−0.999998 | + | 0.00183120i | \(0.999417\pi\) | |||||||
\(830\) | 6764.93 | + | 3257.82i | 0.282909 | + | 0.136242i | ||||
\(831\) | −124.755 | + | 156.438i | −0.00520782 | + | 0.00653040i | ||||
\(832\) | 156.732 | 0.00653091 | ||||||||
\(833\) | 185.272 | + | 7506.14i | 0.00770625 | + | 0.312212i | ||||
\(834\) | 821.345 | 0.0341017 | ||||||||
\(835\) | 8700.04 | − | 10909.5i | 0.360571 | − | 0.452142i | ||||
\(836\) | −1118.98 | − | 538.873i | −0.0462928 | − | 0.0222934i | ||||
\(837\) | −698.926 | − | 3062.19i | −0.0288631 | − | 0.126457i | ||||
\(838\) | −15559.6 | − | 7493.11i | −0.641405 | − | 0.308884i | ||||
\(839\) | −25985.8 | + | 12514.1i | −1.06928 | + | 0.514939i | −0.883875 | − | 0.467722i | \(-0.845075\pi\) |
−0.185407 | + | 0.982662i | \(0.559360\pi\) | |||||||
\(840\) | −204.167 | − | 561.167i | −0.00838623 | − | 0.0230501i | ||||
\(841\) | −14323.5 | − | 6897.82i | −0.587292 | − | 0.282825i | ||||
\(842\) | −3640.89 | − | 4565.53i | −0.149018 | − | 0.186863i | ||||
\(843\) | −131.495 | + | 63.3244i | −0.00537238 | + | 0.00258720i | ||||
\(844\) | −5636.58 | + | 7068.05i | −0.229880 | + | 0.288261i | ||||
\(845\) | −3485.58 | + | 15271.3i | −0.141902 | + | 0.621715i | ||||
\(846\) | 8696.27 | − | 10904.8i | 0.353409 | − | 0.443161i | ||||
\(847\) | 8319.20 | + | 22865.9i | 0.337487 | + | 0.927605i | ||||
\(848\) | −3206.48 | − | 4020.80i | −0.129848 | − | 0.162824i | ||||
\(849\) | −308.793 | + | 148.707i | −0.0124826 | + | 0.00601132i | ||||
\(850\) | 318.991 | − | 1397.59i | 0.0128721 | − | 0.0563965i | ||||
\(851\) | −17932.0 | −0.722327 | ||||||||
\(852\) | 272.956 | 0.0109757 | ||||||||
\(853\) | −249.373 | + | 1092.58i | −0.0100098 | + | 0.0438559i | −0.979686 | − | 0.200537i | \(-0.935731\pi\) |
0.969676 | + | 0.244393i | \(0.0785886\pi\) | |||||||
\(854\) | 5378.20 | + | 5247.09i | 0.215501 | + | 0.210248i | ||||
\(855\) | 2373.00 | + | 10396.8i | 0.0949181 | + | 0.415863i | ||||
\(856\) | 6500.67 | + | 28481.3i | 0.259566 | + | 1.13723i | ||||
\(857\) | −9313.55 | − | 11678.8i | −0.371231 | − | 0.465509i | 0.560766 | − | 0.827974i | \(-0.310507\pi\) |
−0.931997 | + | 0.362465i | \(0.881935\pi\) | |||||||
\(858\) | −12.7998 | − | 16.0504i | −0.000509298 | − | 0.000638639i | ||||
\(859\) | 5002.88 | + | 21919.1i | 0.198715 | + | 0.870627i | 0.971703 | + | 0.236206i | \(0.0759041\pi\) |
−0.772988 | + | 0.634421i | \(0.781239\pi\) | |||||||
\(860\) | 2551.53 | + | 11179.0i | 0.101170 | + | 0.443255i | ||||
\(861\) | −1196.89 | − | 1167.72i | −0.0473752 | − | 0.0462203i | ||||
\(862\) | 2957.84 | − | 12959.1i | 0.116873 | − | 0.512053i | ||||
\(863\) | −169.324 | −0.00667888 | −0.00333944 | − | 0.999994i | \(-0.501063\pi\) | ||||
−0.00333944 | + | 0.999994i | \(0.501063\pi\) | |||||||
\(864\) | −2047.21 | −0.0806106 | ||||||||
\(865\) | 2785.08 | − | 12202.2i | 0.109474 | − | 0.479639i | ||||
\(866\) | −7061.41 | + | 3400.60i | −0.277086 | + | 0.133438i | ||||
\(867\) | −581.587 | − | 729.287i | −0.0227817 | − | 0.0285673i | ||||
\(868\) | −11295.3 | − | 31046.0i | −0.441691 | − | 1.21402i | ||||
\(869\) | 179.504 | − | 225.091i | 0.00700720 | − | 0.00878675i | ||||
\(870\) | −99.6834 | + | 436.742i | −0.00388458 | + | 0.0170195i | ||||
\(871\) | 9531.00 | − | 11951.5i | 0.370776 | − | 0.464938i | ||||
\(872\) | 19334.5 | − | 9310.99i | 0.750858 | − | 0.361594i | ||||
\(873\) | −17805.5 | − | 22327.4i | −0.690294 | − | 0.865601i | ||||
\(874\) | 4304.51 | + | 2072.94i | 0.166593 | + | 0.0802270i | ||||
\(875\) | −9569.50 | − | 26302.4i | −0.369724 | − | 1.01621i | ||||
\(876\) | −766.720 | + | 369.233i | −0.0295720 | + | 0.0142411i | ||||
\(877\) | −1029.01 | − | 495.543i | −0.0396204 | − | 0.0190802i | 0.413969 | − | 0.910291i | \(-0.364142\pi\) |
−0.453589 | + | 0.891211i | \(0.649857\pi\) | |||||||
\(878\) | −4265.84 | − | 18689.9i | −0.163969 | − | 0.718397i | ||||
\(879\) | −531.648 | − | 256.028i | −0.0204005 | − | 0.00982437i | ||||
\(880\) | −640.910 | + | 803.675i | −0.0245512 | + | 0.0307862i | ||||
\(881\) | 27224.4 | 1.04111 | 0.520553 | − | 0.853830i | \(-0.325726\pi\) | ||||
0.520553 | + | 0.853830i | \(0.325726\pi\) | |||||||
\(882\) | −11167.6 | + | 2840.57i | −0.426339 | + | 0.108443i | ||||
\(883\) | −43242.4 | −1.64804 | −0.824022 | − | 0.566557i | \(-0.808275\pi\) | ||||
−0.824022 | + | 0.566557i | \(0.808275\pi\) | |||||||
\(884\) | 1661.98 | − | 2084.06i | 0.0632336 | − | 0.0792925i | ||||
\(885\) | −268.246 | − | 129.180i | −0.0101887 | − | 0.00490661i | ||||
\(886\) | −2736.67 | − | 11990.1i | −0.103770 | − | 0.454646i | ||||
\(887\) | 32950.6 | + | 15868.2i | 1.24732 | + | 0.600677i | 0.936792 | − | 0.349888i | \(-0.113780\pi\) |
0.310527 | + | 0.950565i | \(0.399494\pi\) | |||||||
\(888\) | −741.983 | + | 357.320i | −0.0280398 | + | 0.0135032i | ||||
\(889\) | −3418.71 | + | 34120.8i | −0.128976 | + | 1.28726i | ||||
\(890\) | 8246.74 | + | 3971.42i | 0.310597 | + | 0.149576i | ||||
\(891\) | 1874.79 | + | 2350.91i | 0.0704913 | + | 0.0883932i | ||||
\(892\) | −758.410 | + | 365.231i | −0.0284680 | + | 0.0137095i | ||||
\(893\) | 12030.8 | − | 15086.2i | 0.450836 | − | 0.565331i | ||||
\(894\) | 1.56152 | − | 6.84145i | 5.84172e−5 | − | 0.000255942i | ||||
\(895\) | 16954.6 | − | 21260.3i | 0.633216 | − | 0.794028i | ||||
\(896\) | −26704.2 | + | 3343.00i | −0.995674 | + | 0.124645i | ||||
\(897\) | −204.357 | − | 256.256i | −0.00760678 | − | 0.00953860i | ||||
\(898\) | 4949.80 | − | 2383.70i | 0.183939 | − | 0.0885803i | ||||
\(899\) | −12358.5 | + | 54146.2i | −0.458487 | + | 2.00876i | ||||
\(900\) | −9130.95 | −0.338183 | ||||||||
\(901\) | −3864.19 | −0.142880 | ||||||||
\(902\) | 493.349 | − | 2161.50i | 0.0182114 | − | 0.0797896i | ||||
\(903\) | −807.856 | + | 101.133i | −0.0297716 | + | 0.00372700i | ||||
\(904\) | −5903.07 | − | 25863.0i | −0.217183 | − | 0.951539i | ||||
\(905\) | 6485.81 | + | 28416.2i | 0.238227 | + | 1.04374i | ||||
\(906\) | −94.2631 | − | 118.202i | −0.00345660 | − | 0.00433444i | ||||
\(907\) | 3212.39 | + | 4028.21i | 0.117603 | + | 0.147469i | 0.837148 | − | 0.546976i | \(-0.184221\pi\) |
−0.719545 | + | 0.694445i | \(0.755650\pi\) | |||||||
\(908\) | −5804.68 | − | 25432.0i | −0.212153 | − | 0.929504i | ||||
\(909\) | −5923.74 | − | 25953.6i | −0.216148 | − | 0.947005i | ||||
\(910\) | −369.987 | + | 3692.70i | −0.0134780 | + | 0.134519i | ||||
\(911\) | −7041.46 | + | 30850.7i | −0.256086 | + | 1.12198i | 0.669310 | + | 0.742983i | \(0.266590\pi\) |
−0.925396 | + | 0.379002i | \(0.876267\pi\) | |||||||
\(912\) | −284.869 | −0.0103432 | ||||||||
\(913\) | 2933.77 | 0.106346 | ||||||||
\(914\) | −3674.78 | + | 16100.3i | −0.132988 | + | 0.582658i | ||||
\(915\) | 525.218 | − | 252.931i | 0.0189761 | − | 0.00913842i | ||||
\(916\) | −20780.1 | − | 26057.5i | −0.749558 | − | 0.939916i | ||||
\(917\) | −16562.5 | + | 10694.2i | −0.596446 | + | 0.385118i | ||||
\(918\) | −193.089 | + | 242.125i | −0.00694213 | + | 0.00870515i | ||||
\(919\) | −4522.60 | + | 19814.8i | −0.162336 | + | 0.711240i | 0.826587 | + | 0.562809i | \(0.190279\pi\) |
−0.988923 | + | 0.148431i | \(0.952578\pi\) | |||||||
\(920\) | 7881.49 | − | 9883.07i | 0.282440 | − | 0.354169i | ||||
\(921\) | 1514.02 | − | 729.111i | 0.0541678 | − | 0.0260858i | ||||
\(922\) | −13001.9 | − | 16303.8i | −0.464419 | − | 0.582363i | ||||
\(923\) | −3425.00 | − | 1649.39i | −0.122140 | − | 0.0588195i | ||||
\(924\) | −74.5258 | − | 72.7090i | −0.00265337 | − | 0.00258869i | ||||
\(925\) | −10292.4 | + | 4956.56i | −0.365851 | + | 0.176185i | ||||
\(926\) | 14028.0 | + | 6755.55i | 0.497829 | + | 0.239742i | ||||
\(927\) | 5106.25 | + | 22371.9i | 0.180918 | + | 0.792654i | ||||
\(928\) | 32614.3 | + | 15706.2i | 1.15368 | + | 0.555585i | ||||
\(929\) | 4150.79 | − | 5204.93i | 0.146591 | − | 0.183819i | −0.703115 | − | 0.711076i | \(-0.748208\pi\) |
0.849706 | + | 0.527257i | \(0.176779\pi\) | |||||||
\(930\) | 617.568 | 0.0217751 | ||||||||
\(931\) | −15449.7 | + | 3929.78i | −0.543872 | + | 0.138339i | ||||
\(932\) | 34492.0 | 1.21226 | ||||||||
\(933\) | 370.392 | − | 464.457i | 0.0129969 | − | 0.0162976i | ||||
\(934\) | −12026.3 | − | 5791.57i | −0.421320 | − | 0.202897i | ||||
\(935\) | 171.869 | + | 753.006i | 0.00601145 | + | 0.0263379i | ||||
\(936\) | 8259.62 | + | 3977.62i | 0.288434 | + | 0.138902i | ||||
\(937\) | −43897.3 | + | 21139.8i | −1.53048 | + | 0.737042i | −0.994256 | − | 0.107032i | \(-0.965865\pi\) |
−0.536228 | + | 0.844073i | \(0.680151\pi\) | |||||||
\(938\) | −9742.47 | + | 15938.3i | −0.339129 | + | 0.554801i | ||||
\(939\) | −689.783 | − | 332.182i | −0.0239726 | − | 0.0115446i | ||||
\(940\) | −14204.6 | − | 17812.0i | −0.492876 | − | 0.618048i | ||||
\(941\) | 26184.5 | − | 12609.8i | 0.907109 | − | 0.436841i | 0.0786576 | − | 0.996902i | \(-0.474937\pi\) |
0.828451 | + | 0.560061i | \(0.189222\pi\) | |||||||
\(942\) | −286.130 | + | 358.795i | −0.00989662 | + | 0.0124100i | ||||
\(943\) | 7876.64 | − | 34509.8i | 0.272003 | − | 1.19172i | ||||
\(944\) | −3019.98 | + | 3786.94i | −0.104123 | + | 0.130566i | ||||
\(945\) | −178.403 | + | 1780.57i | −0.00614122 | + | 0.0612932i | ||||
\(946\) | −673.047 | − | 843.974i | −0.0231318 | − | 0.0290063i | ||||
\(947\) | 27488.6 | − | 13237.8i | 0.943253 | − | 0.454247i | 0.101938 | − | 0.994791i | \(-0.467496\pi\) |
0.841316 | + | 0.540544i | \(0.181782\pi\) | |||||||
\(948\) | 20.9617 | − | 91.8394i | 0.000718150 | − | 0.00314642i | ||||
\(949\) | 11851.8 | 0.405401 | ||||||||
\(950\) | 3043.64 | 0.103946 | ||||||||
\(951\) | −156.818 | + | 687.063i | −0.00534717 | + | 0.0234275i | ||||
\(952\) | −3807.05 | + | 6228.17i | −0.129608 | + | 0.212034i | ||||
\(953\) | 5967.31 | + | 26144.5i | 0.202833 | + | 0.888671i | 0.969202 | + | 0.246269i | \(0.0792047\pi\) |
−0.766368 | + | 0.642401i | \(0.777938\pi\) | |||||||
\(954\) | −1319.63 | − | 5781.67i | −0.0447846 | − | 0.196214i | ||||
\(955\) | 13354.7 | + | 16746.3i | 0.452512 | + | 0.567432i | ||||
\(956\) | −5702.16 | − | 7150.28i | −0.192909 | − | 0.241900i | ||||
\(957\) | 38.9489 | + | 170.646i | 0.00131561 | + | 0.00576407i | ||||
\(958\) | 757.034 | + | 3316.78i | 0.0255309 | + | 0.111858i | ||||
\(959\) | 24635.6 | − | 15906.9i | 0.829535 | − | 0.535620i | ||||
\(960\) | −3.30651 | + | 14.4868i | −0.000111164 | + | 0.000487040i | ||||
\(961\) | 46773.6 | 1.57006 | ||||||||
\(962\) | 5118.12 | 0.171533 | ||||||||
\(963\) | 9732.28 | − | 42639.9i | 0.325668 | − | 1.42684i | ||||
\(964\) | 27669.3 | − | 13324.8i | 0.924448 | − | 0.445191i | ||||
\(965\) | −7448.36 | − | 9339.95i | −0.248468 | − | 0.311568i | ||||
\(966\) | 286.687 | + | 279.698i | 0.00954865 | + | 0.00931587i | ||||
\(967\) | 7530.63 | − | 9443.11i | 0.250433 | − | 0.314033i | −0.640686 | − | 0.767803i | \(-0.721350\pi\) |
0.891119 | + | 0.453770i | \(0.149921\pi\) | |||||||
\(968\) | −5263.82 | + | 23062.3i | −0.174779 | + | 0.765755i | ||||
\(969\) | −133.454 | + | 167.347i | −0.00442433 | + | 0.00554793i | ||||
\(970\) | 10126.2 | − | 4876.52i | 0.335188 | − | 0.161418i | ||||
\(971\) | −4716.09 | − | 5913.80i | −0.155867 | − | 0.195451i | 0.697766 | − | 0.716325i | \(-0.254177\pi\) |
−0.853633 | + | 0.520875i | \(0.825606\pi\) | |||||||
\(972\) | 2666.58 | + | 1284.16i | 0.0879946 | + | 0.0423759i | ||||
\(973\) | −54991.4 | − | 18483.9i | −1.81186 | − | 0.609011i | ||||
\(974\) | 1990.16 | − | 958.409i | 0.0654710 | − | 0.0315292i | ||||
\(975\) | −188.126 | − | 90.5967i | −0.00617934 | − | 0.00297581i | ||||
\(976\) | −2110.34 | − | 9246.01i | −0.0692115 | − | 0.303235i | ||||
\(977\) | 24370.8 | + | 11736.3i | 0.798045 | + | 0.384318i | 0.788034 | − | 0.615632i | \(-0.211099\pi\) |
0.0100111 | + | 0.999950i | \(0.496813\pi\) | |||||||
\(978\) | 303.217 | − | 380.222i | 0.00991392 | − | 0.0124317i | ||||
\(979\) | 3576.39 | 0.116754 | ||||||||
\(980\) | 464.440 | + | 18816.4i | 0.0151388 | + | 0.613334i | ||||
\(981\) | −32127.6 | −1.04562 | ||||||||
\(982\) | −15709.2 | + | 19698.8i | −0.510491 | + | 0.640135i | ||||
\(983\) | 49862.7 | + | 24012.6i | 1.61788 | + | 0.779129i | 0.999975 | − | 0.00712586i | \(-0.00226825\pi\) |
0.617903 | + | 0.786255i | \(0.287983\pi\) | |||||||
\(984\) | −361.740 | − | 1584.89i | −0.0117194 | − | 0.0513459i | ||||
\(985\) | −12170.9 | − | 5861.21i | −0.393704 | − | 0.189598i | ||||
\(986\) | 4933.70 | − | 2375.94i | 0.159352 | − | 0.0767398i | ||||
\(987\) | 1358.97 | − | 877.471i | 0.0438263 | − | 0.0282981i | ||||
\(988\) | 5099.08 | + | 2455.59i | 0.164194 | + | 0.0790716i | ||||
\(989\) | −10745.6 | − | 13474.6i | −0.345492 | − | 0.433233i | ||||
\(990\) | −1067.97 | + | 514.306i | −0.0342851 | + | 0.0165108i | ||||
\(991\) | 5142.47 | − | 6448.46i | 0.164840 | − | 0.206702i | −0.692551 | − | 0.721369i | \(-0.743513\pi\) |
0.857390 | + | 0.514667i | \(0.172084\pi\) | |||||||
\(992\) | 11104.6 | − | 48652.3i | 0.355414 | − | 1.55717i | ||||
\(993\) | −1538.89 | + | 1929.71i | −0.0491796 | + | 0.0616692i | ||||
\(994\) | 4403.27 | + | 1480.05i | 0.140506 | + | 0.0472276i | ||||
\(995\) | 17077.3 | + | 21414.3i | 0.544109 | + | 0.682291i | ||||
\(996\) | 864.864 | − | 416.497i | 0.0275143 | − | 0.0132502i | ||||
\(997\) | −6897.75 | + | 30221.0i | −0.219111 | + | 0.959989i | 0.739025 | + | 0.673678i | \(0.235286\pi\) |
−0.958137 | + | 0.286312i | \(0.907571\pi\) | |||||||
\(998\) | 1742.39 | 0.0552648 | ||||||||
\(999\) | 2467.89 | 0.0781589 |
(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 | 49.4.e.a.43.9 | yes | 78 | |
49.8 | even | 7 | inner | 49.4.e.a.8.9 | ✓ | 78 | |
49.20 | odd | 14 | 2401.4.a.c.1.24 | 39 | |||
49.29 | even | 7 | 2401.4.a.d.1.24 | 39 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.4.e.a.8.9 | ✓ | 78 | 49.8 | even | 7 | inner | |
49.4.e.a.43.9 | yes | 78 | 1.1 | even | 1 | trivial | |
2401.4.a.c.1.24 | 39 | 49.20 | odd | 14 | |||
2401.4.a.d.1.24 | 39 | 49.29 | even | 7 |