Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(17,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.w (of order \(12\), 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: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 17.8 | ||
Character | \(\chi\) | \(=\) | 210.17 |
Dual form | 210.3.w.b.173.8 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36603 | + | 0.366025i | 0.683013 | + | 0.183013i | ||||
\(3\) | −0.489601 | − | 2.95978i | −0.163200 | − | 0.986593i | ||||
\(4\) | 1.73205 | + | 1.00000i | 0.433013 | + | 0.250000i | ||||
\(5\) | 1.47500 | − | 4.77749i | 0.295000 | − | 0.955497i | ||||
\(6\) | 0.414547 | − | 4.22234i | 0.0690912 | − | 0.703723i | ||||
\(7\) | 6.99874 | + | 0.132847i | 0.999820 | + | 0.0189781i | ||||
\(8\) | 2.00000 | + | 2.00000i | 0.250000 | + | 0.250000i | ||||
\(9\) | −8.52058 | + | 2.89822i | −0.946731 | + | 0.322024i | ||||
\(10\) | 3.76357 | − | 5.98628i | 0.376357 | − | 0.598628i | ||||
\(11\) | −9.30088 | − | 5.36987i | −0.845535 | − | 0.488170i | 0.0136071 | − | 0.999907i | \(-0.495669\pi\) |
−0.859142 | + | 0.511738i | \(0.829002\pi\) | |||||||
\(12\) | 2.11177 | − | 5.61609i | 0.175980 | − | 0.468007i | ||||
\(13\) | −3.28522 | − | 3.28522i | −0.252709 | − | 0.252709i | 0.569371 | − | 0.822081i | \(-0.307187\pi\) |
−0.822081 | + | 0.569371i | \(0.807187\pi\) | |||||||
\(14\) | 9.51183 | + | 2.74319i | 0.679416 | + | 0.195942i | ||||
\(15\) | −14.8625 | − | 2.02662i | −0.990831 | − | 0.135108i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | 16.0246 | − | 4.29378i | 0.942624 | − | 0.252575i | 0.245394 | − | 0.969423i | \(-0.421083\pi\) |
0.697229 | + | 0.716848i | \(0.254416\pi\) | |||||||
\(18\) | −12.7002 | + | 0.840293i | −0.705564 | + | 0.0466830i | ||||
\(19\) | −1.04608 | − | 1.81186i | −0.0550568 | − | 0.0953611i | 0.837183 | − | 0.546922i | \(-0.184201\pi\) |
−0.892240 | + | 0.451561i | \(0.850867\pi\) | |||||||
\(20\) | 7.33226 | − | 6.79985i | 0.366613 | − | 0.339992i | ||||
\(21\) | −3.03339 | − | 20.7798i | −0.144447 | − | 0.989513i | ||||
\(22\) | −10.7397 | − | 10.7397i | −0.488170 | − | 0.488170i | ||||
\(23\) | 3.40405 | − | 12.7041i | 0.148002 | − | 0.552351i | −0.851601 | − | 0.524190i | \(-0.824368\pi\) |
0.999603 | − | 0.0281612i | \(-0.00896517\pi\) | |||||||
\(24\) | 4.94036 | − | 6.89876i | 0.205848 | − | 0.287448i | ||||
\(25\) | −20.6487 | − | 14.0936i | −0.825950 | − | 0.563744i | ||||
\(26\) | −3.28522 | − | 5.69017i | −0.126355 | − | 0.218853i | ||||
\(27\) | 12.7498 | + | 23.8001i | 0.472214 | + | 0.881484i | ||||
\(28\) | 11.9893 | + | 7.22884i | 0.428190 | + | 0.258173i | ||||
\(29\) | 21.8689 | 0.754099 | 0.377049 | − | 0.926193i | \(-0.376939\pi\) | ||||
0.377049 | + | 0.926193i | \(0.376939\pi\) | |||||||
\(30\) | −19.5607 | − | 8.20845i | −0.652024 | − | 0.273615i | ||||
\(31\) | 40.3894 | + | 23.3188i | 1.30288 | + | 0.752221i | 0.980898 | − | 0.194523i | \(-0.0623160\pi\) |
0.321987 | + | 0.946744i | \(0.395649\pi\) | |||||||
\(32\) | 1.46410 | + | 5.46410i | 0.0457532 | + | 0.170753i | ||||
\(33\) | −11.3399 | + | 30.1576i | −0.343633 | + | 0.913868i | ||||
\(34\) | 23.4616 | 0.690048 | ||||||||
\(35\) | 10.9578 | − | 33.2404i | 0.313081 | − | 0.949727i | ||||
\(36\) | −17.6563 | − | 3.50072i | −0.490453 | − | 0.0972421i | ||||
\(37\) | −10.9244 | + | 40.7704i | −0.295254 | + | 1.10190i | 0.645762 | + | 0.763539i | \(0.276540\pi\) |
−0.941016 | + | 0.338363i | \(0.890127\pi\) | |||||||
\(38\) | −0.765783 | − | 2.85794i | −0.0201522 | − | 0.0752089i | ||||
\(39\) | −8.11508 | + | 11.3320i | −0.208079 | + | 0.290564i | ||||
\(40\) | 12.5050 | − | 6.60497i | 0.312624 | − | 0.165124i | ||||
\(41\) | −41.7957 | −1.01941 | −0.509703 | − | 0.860350i | \(-0.670245\pi\) | ||||
−0.509703 | + | 0.860350i | \(0.670245\pi\) | |||||||
\(42\) | 3.46223 | − | 29.4960i | 0.0824340 | − | 0.702285i | ||||
\(43\) | −32.4714 | + | 32.4714i | −0.755148 | + | 0.755148i | −0.975435 | − | 0.220287i | \(-0.929301\pi\) |
0.220287 | + | 0.975435i | \(0.429301\pi\) | |||||||
\(44\) | −10.7397 | − | 18.6018i | −0.244085 | − | 0.422767i | ||||
\(45\) | 1.27834 | + | 44.9818i | 0.0284075 | + | 0.999596i | ||||
\(46\) | 9.30003 | − | 16.1081i | 0.202175 | − | 0.350177i | ||||
\(47\) | −18.0449 | + | 67.3444i | −0.383934 | + | 1.43286i | 0.455907 | + | 0.890028i | \(0.349315\pi\) |
−0.839841 | + | 0.542833i | \(0.817352\pi\) | |||||||
\(48\) | 9.27377 | − | 7.61558i | 0.193204 | − | 0.158658i | ||||
\(49\) | 48.9647 | + | 1.85952i | 0.999280 | + | 0.0379493i | ||||
\(50\) | −23.0481 | − | 26.8102i | −0.460962 | − | 0.536203i | ||||
\(51\) | −20.5543 | − | 45.3270i | −0.403025 | − | 0.888765i | ||||
\(52\) | −2.40495 | − | 8.97539i | −0.0462490 | − | 0.172604i | ||||
\(53\) | 31.2227 | − | 8.36609i | 0.589107 | − | 0.157851i | 0.0480619 | − | 0.998844i | \(-0.484696\pi\) |
0.541045 | + | 0.840994i | \(0.318029\pi\) | |||||||
\(54\) | 8.70509 | + | 37.1782i | 0.161205 | + | 0.688486i | ||||
\(55\) | −39.3733 | + | 36.5143i | −0.715878 | + | 0.663896i | ||||
\(56\) | 13.7318 | + | 14.2632i | 0.245210 | + | 0.254699i | ||||
\(57\) | −4.85055 | + | 3.98325i | −0.0850973 | + | 0.0698816i | ||||
\(58\) | 29.8734 | + | 8.00456i | 0.515059 | + | 0.138010i | ||||
\(59\) | 8.21615 | + | 4.74360i | 0.139257 | + | 0.0804000i | 0.568010 | − | 0.823022i | \(-0.307714\pi\) |
−0.428753 | + | 0.903422i | \(0.641047\pi\) | |||||||
\(60\) | −23.7159 | − | 18.3727i | −0.395265 | − | 0.306211i | ||||
\(61\) | 100.996 | − | 58.3099i | 1.65567 | − | 0.955901i | 0.680989 | − | 0.732294i | \(-0.261550\pi\) |
0.974679 | − | 0.223607i | \(-0.0717832\pi\) | |||||||
\(62\) | 46.6377 | + | 46.6377i | 0.752221 | + | 0.752221i | ||||
\(63\) | −60.0184 | + | 19.1520i | −0.952672 | + | 0.303999i | ||||
\(64\) | 8.00000i | 0.125000i | ||||||||
\(65\) | −20.5408 | + | 10.8494i | −0.316012 | + | 0.166914i | ||||
\(66\) | −26.5291 | + | 37.0454i | −0.401955 | + | 0.561294i | ||||
\(67\) | −2.25609 | + | 0.604518i | −0.0336730 | + | 0.00902266i | −0.275616 | − | 0.961268i | \(-0.588882\pi\) |
0.241943 | + | 0.970290i | \(0.422215\pi\) | |||||||
\(68\) | 32.0492 | + | 8.58756i | 0.471312 | + | 0.126288i | ||||
\(69\) | −39.2679 | − | 3.85530i | −0.569100 | − | 0.0558739i | ||||
\(70\) | 27.1355 | − | 41.3964i | 0.387650 | − | 0.591378i | ||||
\(71\) | 82.6653i | 1.16430i | 0.813082 | + | 0.582150i | \(0.197788\pi\) | ||||
−0.813082 | + | 0.582150i | \(0.802212\pi\) | |||||||
\(72\) | −22.8376 | − | 11.2447i | −0.317189 | − | 0.156177i | ||||
\(73\) | 89.0639 | − | 23.8646i | 1.22005 | − | 0.326912i | 0.409355 | − | 0.912375i | \(-0.365754\pi\) |
0.810699 | + | 0.585463i | \(0.199087\pi\) | |||||||
\(74\) | −29.8460 | + | 51.6948i | −0.403324 | + | 0.698578i | ||||
\(75\) | −31.6043 | + | 68.0159i | −0.421390 | + | 0.906879i | ||||
\(76\) | − | 4.18431i | − | 0.0550568i | ||||||
\(77\) | −64.3811 | − | 38.8179i | −0.836118 | − | 0.504128i | ||||
\(78\) | −15.2332 | + | 12.5094i | −0.195297 | + | 0.160377i | ||||
\(79\) | −27.5447 | + | 15.9030i | −0.348668 | + | 0.201303i | −0.664098 | − | 0.747645i | \(-0.731184\pi\) |
0.315431 | + | 0.948949i | \(0.397851\pi\) | |||||||
\(80\) | 19.4997 | − | 4.44542i | 0.243746 | − | 0.0555677i | ||||
\(81\) | 64.2006 | − | 49.3891i | 0.792600 | − | 0.609741i | ||||
\(82\) | −57.0939 | − | 15.2983i | −0.696268 | − | 0.186564i | ||||
\(83\) | −37.0831 | + | 37.0831i | −0.446785 | + | 0.446785i | −0.894284 | − | 0.447499i | \(-0.852315\pi\) |
0.447499 | + | 0.894284i | \(0.352315\pi\) | |||||||
\(84\) | 15.5258 | − | 39.0250i | 0.184831 | − | 0.464583i | ||||
\(85\) | 3.12284 | − | 82.8906i | 0.0367393 | − | 0.975184i | ||||
\(86\) | −56.2421 | + | 32.4714i | −0.653977 | + | 0.377574i | ||||
\(87\) | −10.7070 | − | 64.7270i | −0.123069 | − | 0.743988i | ||||
\(88\) | −7.86203 | − | 29.3415i | −0.0893412 | − | 0.333426i | ||||
\(89\) | −136.159 | + | 78.6114i | −1.52987 | + | 0.883274i | −0.530509 | + | 0.847680i | \(0.677999\pi\) |
−0.999366 | + | 0.0355942i | \(0.988668\pi\) | |||||||
\(90\) | −14.7183 | + | 61.9142i | −0.163536 | + | 0.687936i | ||||
\(91\) | −22.5560 | − | 23.4288i | −0.247868 | − | 0.257460i | ||||
\(92\) | 18.6001 | − | 18.6001i | 0.202175 | − | 0.202175i | ||||
\(93\) | 49.2439 | − | 130.961i | 0.529505 | − | 1.40818i | ||||
\(94\) | −49.2996 | + | 85.3893i | −0.524463 | + | 0.908397i | ||||
\(95\) | −10.1991 | + | 2.32513i | −0.107359 | + | 0.0244750i | ||||
\(96\) | 15.4557 | − | 7.00865i | 0.160997 | − | 0.0730067i | ||||
\(97\) | −41.8856 | + | 41.8856i | −0.431810 | + | 0.431810i | −0.889244 | − | 0.457434i | \(-0.848769\pi\) |
0.457434 | + | 0.889244i | \(0.348769\pi\) | |||||||
\(98\) | 66.2064 | + | 20.4625i | 0.675575 | + | 0.208801i | ||||
\(99\) | 94.8120 | + | 18.7984i | 0.957697 | + | 0.189883i | ||||
\(100\) | −21.6711 | − | 45.0596i | −0.216711 | − | 0.450596i | ||||
\(101\) | 92.9876 | − | 161.059i | 0.920670 | − | 1.59465i | 0.122288 | − | 0.992495i | \(-0.460977\pi\) |
0.798381 | − | 0.602152i | \(-0.205690\pi\) | |||||||
\(102\) | −11.4868 | − | 69.4413i | −0.112616 | − | 0.680797i | ||||
\(103\) | −19.6216 | + | 73.2287i | −0.190501 | + | 0.710958i | 0.802885 | + | 0.596134i | \(0.203297\pi\) |
−0.993386 | + | 0.114824i | \(0.963370\pi\) | |||||||
\(104\) | − | 13.1409i | − | 0.126355i | ||||||
\(105\) | −103.749 | − | 16.1582i | −0.988088 | − | 0.153888i | ||||
\(106\) | 45.7132 | 0.431256 | ||||||||
\(107\) | −127.816 | − | 34.2483i | −1.19454 | − | 0.320077i | −0.393864 | − | 0.919169i | \(-0.628862\pi\) |
−0.800681 | + | 0.599092i | \(0.795529\pi\) | |||||||
\(108\) | −1.71681 | + | 53.9727i | −0.0158964 | + | 0.499747i | ||||
\(109\) | 140.071 | + | 80.8701i | 1.28506 | + | 0.741927i | 0.977768 | − | 0.209689i | \(-0.0672452\pi\) |
0.307288 | + | 0.951617i | \(0.400579\pi\) | |||||||
\(110\) | −67.1500 | + | 35.4678i | −0.610455 | + | 0.322435i | ||||
\(111\) | 126.020 | + | 12.3726i | 1.13531 | + | 0.111465i | ||||
\(112\) | 13.5373 | + | 24.5100i | 0.120869 | + | 0.218840i | ||||
\(113\) | 15.2685 | + | 15.2685i | 0.135119 | + | 0.135119i | 0.771432 | − | 0.636312i | \(-0.219541\pi\) |
−0.636312 | + | 0.771432i | \(0.719541\pi\) | |||||||
\(114\) | −8.08394 | + | 3.66580i | −0.0709118 | + | 0.0321561i | ||||
\(115\) | −55.6726 | − | 35.0013i | −0.484109 | − | 0.304359i | ||||
\(116\) | 37.8780 | + | 21.8689i | 0.326534 | + | 0.188525i | ||||
\(117\) | 37.5133 | + | 18.4707i | 0.320627 | + | 0.157869i | ||||
\(118\) | 9.48720 | + | 9.48720i | 0.0804000 | + | 0.0804000i | ||||
\(119\) | 112.722 | − | 27.9222i | 0.947247 | − | 0.234641i | ||||
\(120\) | −25.6717 | − | 33.7782i | −0.213931 | − | 0.281485i | ||||
\(121\) | −2.82907 | − | 4.90010i | −0.0233808 | − | 0.0404967i | ||||
\(122\) | 159.306 | − | 42.6858i | 1.30578 | − | 0.349884i | ||||
\(123\) | 20.4632 | + | 123.706i | 0.166367 | + | 1.00574i | ||||
\(124\) | 46.6377 | + | 80.7789i | 0.376110 | + | 0.651442i | ||||
\(125\) | −97.7889 | + | 77.8610i | −0.782311 | + | 0.622888i | ||||
\(126\) | −88.9967 | + | 4.19382i | −0.706323 | + | 0.0332843i | ||||
\(127\) | −60.5483 | − | 60.5483i | −0.476758 | − | 0.476758i | 0.427335 | − | 0.904093i | \(-0.359453\pi\) |
−0.904093 | + | 0.427335i | \(0.859453\pi\) | |||||||
\(128\) | −2.92820 | + | 10.9282i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | 112.006 | + | 80.2101i | 0.868264 | + | 0.621783i | ||||
\(130\) | −32.0304 | + | 7.30209i | −0.246388 | + | 0.0561699i | ||||
\(131\) | −85.5142 | − | 148.115i | −0.652780 | − | 1.13065i | −0.982445 | − | 0.186550i | \(-0.940269\pi\) |
0.329666 | − | 0.944098i | \(-0.393064\pi\) | |||||||
\(132\) | −49.7989 | + | 40.8947i | −0.377265 | + | 0.309808i | ||||
\(133\) | −7.08053 | − | 12.8197i | −0.0532371 | − | 0.0963888i | ||||
\(134\) | −3.30315 | −0.0246504 | ||||||||
\(135\) | 132.510 | − | 25.8067i | 0.981559 | − | 0.191161i | ||||
\(136\) | 40.6368 | + | 23.4616i | 0.298800 | + | 0.172512i | ||||
\(137\) | −9.73567 | − | 36.3340i | −0.0710633 | − | 0.265212i | 0.921249 | − | 0.388974i | \(-0.127171\pi\) |
−0.992312 | + | 0.123763i | \(0.960504\pi\) | |||||||
\(138\) | −52.2298 | − | 19.6395i | −0.378477 | − | 0.142315i | ||||
\(139\) | 167.962 | 1.20836 | 0.604180 | − | 0.796848i | \(-0.293501\pi\) | ||||
0.604180 | + | 0.796848i | \(0.293501\pi\) | |||||||
\(140\) | 52.2199 | − | 46.6163i | 0.373000 | − | 0.332974i | ||||
\(141\) | 208.159 | + | 20.4370i | 1.47631 | + | 0.144943i | ||||
\(142\) | −30.2576 | + | 112.923i | −0.213082 | + | 0.795231i | ||||
\(143\) | 12.9143 | + | 48.1967i | 0.0903095 | + | 0.337040i | ||||
\(144\) | −27.0809 | − | 23.7197i | −0.188062 | − | 0.164720i | ||||
\(145\) | 32.2566 | − | 104.478i | 0.222459 | − | 0.720539i | ||||
\(146\) | 130.399 | 0.893141 | ||||||||
\(147\) | −18.4694 | − | 145.835i | −0.125642 | − | 0.992076i | ||||
\(148\) | −59.6920 | + | 59.6920i | −0.403324 | + | 0.403324i | ||||
\(149\) | −137.856 | − | 238.773i | −0.925207 | − | 1.60251i | −0.791228 | − | 0.611522i | \(-0.790558\pi\) |
−0.133979 | − | 0.990984i | \(-0.542776\pi\) | |||||||
\(150\) | −68.0678 | + | 81.3435i | −0.453785 | + | 0.542290i | ||||
\(151\) | −60.5110 | + | 104.808i | −0.400735 | + | 0.694093i | −0.993815 | − | 0.111051i | \(-0.964578\pi\) |
0.593080 | + | 0.805144i | \(0.297912\pi\) | |||||||
\(152\) | 1.53157 | − | 5.71588i | 0.0100761 | − | 0.0376045i | ||||
\(153\) | −124.095 | + | 83.0283i | −0.811076 | + | 0.542669i | ||||
\(154\) | −73.7379 | − | 76.5913i | −0.478817 | − | 0.497346i | ||||
\(155\) | 170.980 | − | 158.565i | 1.10310 | − | 1.02300i | ||||
\(156\) | −25.3877 | + | 11.5125i | −0.162742 | + | 0.0737979i | ||||
\(157\) | −23.3449 | − | 87.1243i | −0.148694 | − | 0.554932i | −0.999563 | − | 0.0295549i | \(-0.990591\pi\) |
0.850870 | − | 0.525377i | \(-0.176076\pi\) | |||||||
\(158\) | −43.4477 | + | 11.6418i | −0.274986 | + | 0.0736821i | ||||
\(159\) | −40.0484 | − | 88.3161i | −0.251877 | − | 0.555447i | ||||
\(160\) | 28.2642 | + | 1.06483i | 0.176651 | + | 0.00665520i | ||||
\(161\) | 25.5117 | − | 88.4603i | 0.158458 | − | 0.549443i | ||||
\(162\) | 105.777 | − | 43.9676i | 0.652947 | − | 0.271405i | ||||
\(163\) | −60.2571 | − | 16.1458i | −0.369676 | − | 0.0990543i | 0.0691984 | − | 0.997603i | \(-0.477956\pi\) |
−0.438874 | + | 0.898549i | \(0.644623\pi\) | |||||||
\(164\) | −72.3922 | − | 41.7957i | −0.441416 | − | 0.254852i | ||||
\(165\) | 127.351 | + | 98.6588i | 0.771826 | + | 0.597932i | ||||
\(166\) | −64.2299 | + | 37.0831i | −0.386927 | + | 0.223392i | ||||
\(167\) | 5.23730 | + | 5.23730i | 0.0313611 | + | 0.0313611i | 0.722613 | − | 0.691252i | \(-0.242941\pi\) |
−0.691252 | + | 0.722613i | \(0.742941\pi\) | |||||||
\(168\) | 35.4927 | − | 47.6263i | 0.211266 | − | 0.283490i | ||||
\(169\) | − | 147.415i | − | 0.872276i | ||||||
\(170\) | 34.6060 | − | 112.088i | 0.203564 | − | 0.659339i | ||||
\(171\) | 14.1644 | + | 12.4063i | 0.0828326 | + | 0.0725517i | ||||
\(172\) | −88.7134 | + | 23.7707i | −0.515776 | + | 0.138202i | ||||
\(173\) | 117.733 | + | 31.5466i | 0.680540 | + | 0.182350i | 0.582498 | − | 0.812832i | \(-0.302075\pi\) |
0.0980419 | + | 0.995182i | \(0.468742\pi\) | |||||||
\(174\) | 9.06567 | − | 92.3377i | 0.0521016 | − | 0.530677i | ||||
\(175\) | −142.643 | − | 101.381i | −0.815102 | − | 0.579317i | ||||
\(176\) | − | 42.9589i | − | 0.244085i | ||||||
\(177\) | 10.0174 | − | 26.6405i | 0.0565953 | − | 0.150511i | ||||
\(178\) | −214.770 | + | 57.5475i | −1.20657 | + | 0.323301i | ||||
\(179\) | −32.0467 | + | 55.5065i | −0.179032 | + | 0.310092i | −0.941549 | − | 0.336876i | \(-0.890630\pi\) |
0.762517 | + | 0.646968i | \(0.223963\pi\) | |||||||
\(180\) | −42.7677 | + | 79.1892i | −0.237598 | + | 0.439940i | ||||
\(181\) | − | 305.611i | − | 1.68846i | −0.535984 | − | 0.844228i | \(-0.680059\pi\) | ||
0.535984 | − | 0.844228i | \(-0.319941\pi\) | |||||||
\(182\) | −22.2365 | − | 40.2605i | −0.122179 | − | 0.221211i | ||||
\(183\) | −222.032 | − | 270.377i | −1.21329 | − | 1.47747i | ||||
\(184\) | 32.2162 | − | 18.6001i | 0.175088 | − | 0.101087i | ||||
\(185\) | 178.666 | + | 112.327i | 0.965764 | + | 0.607175i | ||||
\(186\) | 115.203 | − | 160.871i | 0.619373 | − | 0.864898i | ||||
\(187\) | −172.100 | − | 46.1140i | −0.920321 | − | 0.246599i | ||||
\(188\) | −98.5991 | + | 98.5991i | −0.524463 | + | 0.524463i | ||||
\(189\) | 86.0706 | + | 168.264i | 0.455400 | + | 0.890287i | ||||
\(190\) | −14.7833 | − | 0.556949i | −0.0778068 | − | 0.00293131i | ||||
\(191\) | −91.1439 | + | 52.6220i | −0.477193 | + | 0.275508i | −0.719246 | − | 0.694755i | \(-0.755513\pi\) |
0.242053 | + | 0.970263i | \(0.422179\pi\) | |||||||
\(192\) | 23.6782 | − | 3.91681i | 0.123324 | − | 0.0204000i | ||||
\(193\) | 30.3272 | + | 113.183i | 0.157136 | + | 0.586439i | 0.998913 | + | 0.0466140i | \(0.0148431\pi\) |
−0.841777 | + | 0.539825i | \(0.818490\pi\) | |||||||
\(194\) | −72.5479 | + | 41.8856i | −0.373958 | + | 0.215905i | ||||
\(195\) | 42.1686 | + | 55.4844i | 0.216249 | + | 0.284535i | ||||
\(196\) | 82.9498 | + | 52.1855i | 0.423213 | + | 0.266252i | ||||
\(197\) | −227.255 | + | 227.255i | −1.15358 | + | 1.15358i | −0.167748 | + | 0.985830i | \(0.553649\pi\) |
−0.985830 | + | 0.167748i | \(0.946351\pi\) | |||||||
\(198\) | 122.635 | + | 60.3827i | 0.619368 | + | 0.304963i | ||||
\(199\) | −53.7513 | + | 93.1000i | −0.270107 | + | 0.467839i | −0.968889 | − | 0.247495i | \(-0.920392\pi\) |
0.698782 | + | 0.715335i | \(0.253726\pi\) | |||||||
\(200\) | −13.1103 | − | 69.4847i | −0.0655515 | − | 0.347423i | ||||
\(201\) | 2.89382 | + | 6.38156i | 0.0143971 | + | 0.0317491i | ||||
\(202\) | 185.975 | − | 185.975i | 0.920670 | − | 0.920670i | ||||
\(203\) | 153.054 | + | 2.90520i | 0.753963 | + | 0.0143113i | ||||
\(204\) | 9.72596 | − | 99.0630i | 0.0476763 | − | 0.485603i | ||||
\(205\) | −61.6487 | + | 199.678i | −0.300725 | + | 0.974040i | ||||
\(206\) | −53.6071 | + | 92.8502i | −0.260229 | + | 0.450729i | ||||
\(207\) | 7.81475 | + | 118.112i | 0.0377524 | + | 0.570588i | ||||
\(208\) | 4.80990 | − | 17.9508i | 0.0231245 | − | 0.0863019i | ||||
\(209\) | 22.4692i | 0.107508i | ||||||||
\(210\) | −135.810 | − | 60.0474i | −0.646714 | − | 0.285940i | ||||
\(211\) | −297.536 | −1.41012 | −0.705061 | − | 0.709147i | \(-0.749080\pi\) | ||||
−0.705061 | + | 0.709147i | \(0.749080\pi\) | |||||||
\(212\) | 62.4453 | + | 16.7322i | 0.294553 | + | 0.0789254i | ||||
\(213\) | 244.671 | − | 40.4730i | 1.14869 | − | 0.190014i | ||||
\(214\) | −162.065 | − | 93.5680i | −0.757311 | − | 0.437234i | ||||
\(215\) | 107.236 | + | 203.027i | 0.498773 | + | 0.944311i | ||||
\(216\) | −22.1006 | + | 73.0997i | −0.102318 | + | 0.338424i | ||||
\(217\) | 279.577 | + | 168.568i | 1.28837 | + | 0.776812i | ||||
\(218\) | 161.740 | + | 161.740i | 0.741927 | + | 0.741927i | ||||
\(219\) | −114.240 | − | 251.925i | −0.521643 | − | 1.15034i | ||||
\(220\) | −104.711 | + | 23.8713i | −0.475958 | + | 0.108506i | ||||
\(221\) | −66.7504 | − | 38.5384i | −0.302038 | − | 0.174382i | ||||
\(222\) | 167.618 | + | 63.0277i | 0.755035 | + | 0.283909i | ||||
\(223\) | −194.026 | − | 194.026i | −0.870074 | − | 0.870074i | 0.122406 | − | 0.992480i | \(-0.460939\pi\) |
−0.992480 | + | 0.122406i | \(0.960939\pi\) | |||||||
\(224\) | 9.52098 | + | 38.4363i | 0.0425044 | + | 0.171591i | ||||
\(225\) | 216.786 | + | 60.2410i | 0.963492 | + | 0.267738i | ||||
\(226\) | 15.2685 | + | 26.4458i | 0.0675597 | + | 0.117017i | ||||
\(227\) | −64.3983 | + | 17.2555i | −0.283693 | + | 0.0760153i | −0.397860 | − | 0.917446i | \(-0.630247\pi\) |
0.114167 | + | 0.993462i | \(0.463580\pi\) | |||||||
\(228\) | −12.3846 | + | 2.04864i | −0.0543186 | + | 0.00898528i | ||||
\(229\) | −22.0393 | − | 38.1732i | −0.0962416 | − | 0.166695i | 0.813885 | − | 0.581027i | \(-0.197349\pi\) |
−0.910126 | + | 0.414331i | \(0.864015\pi\) | |||||||
\(230\) | −63.2388 | − | 68.1903i | −0.274951 | − | 0.296479i | ||||
\(231\) | −83.3713 | + | 209.559i | −0.360915 | + | 0.907182i | ||||
\(232\) | 43.7377 | + | 43.7377i | 0.188525 | + | 0.188525i | ||||
\(233\) | −7.91167 | + | 29.5268i | −0.0339557 | + | 0.126724i | −0.980823 | − | 0.194899i | \(-0.937562\pi\) |
0.946868 | + | 0.321624i | \(0.104229\pi\) | |||||||
\(234\) | 44.4834 | + | 38.9623i | 0.190100 | + | 0.166505i | ||||
\(235\) | 295.121 | + | 185.542i | 1.25583 | + | 0.789542i | ||||
\(236\) | 9.48720 | + | 16.4323i | 0.0402000 | + | 0.0696284i | ||||
\(237\) | 60.5552 | + | 73.7403i | 0.255507 | + | 0.311140i | ||||
\(238\) | 164.202 | + | 3.11680i | 0.689924 | + | 0.0130958i | ||||
\(239\) | 213.748 | 0.894343 | 0.447171 | − | 0.894448i | \(-0.352431\pi\) | ||||
0.447171 | + | 0.894448i | \(0.352431\pi\) | |||||||
\(240\) | −22.7045 | − | 55.5383i | −0.0946022 | − | 0.231410i | ||||
\(241\) | 63.6195 | + | 36.7307i | 0.263981 | + | 0.152410i | 0.626149 | − | 0.779703i | \(-0.284630\pi\) |
−0.362168 | + | 0.932113i | \(0.617963\pi\) | |||||||
\(242\) | −2.07103 | − | 7.72917i | −0.00855796 | − | 0.0319387i | ||||
\(243\) | −177.613 | − | 165.839i | −0.730919 | − | 0.682464i | ||||
\(244\) | 233.240 | 0.955901 | ||||||||
\(245\) | 81.1068 | − | 231.185i | 0.331048 | − | 0.943614i | ||||
\(246\) | −17.3263 | + | 176.475i | −0.0704320 | + | 0.717380i | ||||
\(247\) | −2.51577 | + | 9.38897i | −0.0101853 | + | 0.0380120i | ||||
\(248\) | 34.1412 | + | 127.417i | 0.137666 | + | 0.513776i | ||||
\(249\) | 127.914 | + | 91.6020i | 0.513710 | + | 0.367879i | ||||
\(250\) | −162.081 | + | 70.5669i | −0.648325 | + | 0.282268i | ||||
\(251\) | 235.026 | 0.936358 | 0.468179 | − | 0.883634i | \(-0.344910\pi\) | ||||
0.468179 | + | 0.883634i | \(0.344910\pi\) | |||||||
\(252\) | −123.107 | − | 26.8462i | −0.488519 | − | 0.106532i | ||||
\(253\) | −99.8798 | + | 99.8798i | −0.394782 | + | 0.394782i | ||||
\(254\) | −60.5483 | − | 104.873i | −0.238379 | − | 0.412885i | ||||
\(255\) | −246.867 | + | 31.3404i | −0.968105 | + | 0.122904i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −98.9522 | + | 369.295i | −0.385028 | + | 1.43694i | 0.453095 | + | 0.891462i | \(0.350320\pi\) |
−0.838123 | + | 0.545482i | \(0.816347\pi\) | |||||||
\(258\) | 123.644 | + | 150.566i | 0.479241 | + | 0.583589i | ||||
\(259\) | −81.8731 | + | 283.890i | −0.316113 | + | 1.09610i | ||||
\(260\) | −46.4271 | − | 1.74911i | −0.178566 | − | 0.00672733i | ||||
\(261\) | −186.335 | + | 63.3808i | −0.713929 | + | 0.242838i | ||||
\(262\) | −62.6007 | − | 233.629i | −0.238934 | − | 0.891714i | ||||
\(263\) | −294.961 | + | 79.0345i | −1.12152 | + | 0.300511i | −0.771500 | − | 0.636230i | \(-0.780493\pi\) |
−0.350024 | + | 0.936741i | \(0.613826\pi\) | |||||||
\(264\) | −82.9951 | + | 37.6355i | −0.314375 | + | 0.142559i | ||||
\(265\) | 6.08461 | − | 161.506i | 0.0229608 | − | 0.609456i | ||||
\(266\) | −4.97985 | − | 20.1037i | −0.0187212 | − | 0.0755779i | ||||
\(267\) | 299.336 | + | 364.512i | 1.12111 | + | 1.36521i | ||||
\(268\) | −4.51218 | − | 1.20904i | −0.0168365 | − | 0.00451133i | ||||
\(269\) | −153.231 | − | 88.4680i | −0.569632 | − | 0.328877i | 0.187370 | − | 0.982289i | \(-0.440004\pi\) |
−0.757002 | + | 0.653412i | \(0.773337\pi\) | |||||||
\(270\) | 190.459 | + | 13.2495i | 0.705402 | + | 0.0490723i | ||||
\(271\) | −334.108 | + | 192.897i | −1.23287 | + | 0.711798i | −0.967627 | − | 0.252383i | \(-0.918786\pi\) |
−0.265243 | + | 0.964182i | \(0.585452\pi\) | |||||||
\(272\) | 46.9233 | + | 46.9233i | 0.172512 | + | 0.172512i | ||||
\(273\) | −58.3008 | + | 78.2315i | −0.213556 | + | 0.286562i | ||||
\(274\) | − | 53.1967i | − | 0.194149i | ||||||
\(275\) | 116.371 | + | 241.964i | 0.423166 | + | 0.879869i | ||||
\(276\) | −64.1587 | − | 45.9455i | −0.232459 | − | 0.166469i | ||||
\(277\) | −446.379 | + | 119.607i | −1.61148 | + | 0.431794i | −0.948482 | − | 0.316831i | \(-0.897381\pi\) |
−0.662994 | + | 0.748625i | \(0.730714\pi\) | |||||||
\(278\) | 229.440 | + | 61.4783i | 0.825325 | + | 0.221145i | ||||
\(279\) | −411.725 | − | 81.6327i | −1.47572 | − | 0.292590i | ||||
\(280\) | 88.3965 | − | 44.5652i | 0.315702 | − | 0.159161i | ||||
\(281\) | 100.962i | 0.359295i | 0.983731 | + | 0.179647i | \(0.0574957\pi\) | ||||
−0.983731 | + | 0.179647i | \(0.942504\pi\) | |||||||
\(282\) | 276.871 | + | 104.109i | 0.981811 | + | 0.369181i | ||||
\(283\) | 371.789 | − | 99.6207i | 1.31374 | − | 0.352016i | 0.467113 | − | 0.884198i | \(-0.345294\pi\) |
0.846630 | + | 0.532181i | \(0.178628\pi\) | |||||||
\(284\) | −82.6653 | + | 143.180i | −0.291075 | + | 0.504157i | ||||
\(285\) | 11.8754 | + | 29.0487i | 0.0416679 | + | 0.101925i | ||||
\(286\) | 70.5648i | 0.246730i | ||||||||
\(287\) | −292.517 | − | 5.55241i | −1.01922 | − | 0.0193464i | ||||
\(288\) | −28.3112 | − | 42.3140i | −0.0983027 | − | 0.146924i | ||||
\(289\) | −11.9300 | + | 6.88780i | −0.0412804 | + | 0.0238332i | ||||
\(290\) | 82.3050 | − | 130.913i | 0.283810 | − | 0.451424i | ||||
\(291\) | 144.479 | + | 103.465i | 0.496492 | + | 0.355549i | ||||
\(292\) | 178.128 | + | 47.7292i | 0.610027 | + | 0.163456i | ||||
\(293\) | 259.252 | − | 259.252i | 0.884820 | − | 0.884820i | −0.109200 | − | 0.994020i | \(-0.534829\pi\) |
0.994020 | + | 0.109200i | \(0.0348289\pi\) | |||||||
\(294\) | 28.1497 | − | 205.975i | 0.0957472 | − | 0.700594i | ||||
\(295\) | 34.7813 | − | 32.2557i | 0.117903 | − | 0.109341i | ||||
\(296\) | −103.390 | + | 59.6920i | −0.349289 | + | 0.201662i | ||||
\(297\) | 9.21903 | − | 289.826i | 0.0310405 | − | 0.975846i | ||||
\(298\) | −100.917 | − | 376.629i | −0.338649 | − | 1.26386i | ||||
\(299\) | −52.9188 | + | 30.5527i | −0.176986 | + | 0.102183i | ||||
\(300\) | −122.756 | + | 86.2028i | −0.409187 | + | 0.287343i | ||||
\(301\) | −231.572 | + | 222.945i | −0.769343 | + | 0.740681i | ||||
\(302\) | −121.022 | + | 121.022i | −0.400735 | + | 0.400735i | ||||
\(303\) | −522.227 | − | 196.368i | −1.72352 | − | 0.648079i | ||||
\(304\) | 4.18431 | − | 7.24745i | 0.0137642 | − | 0.0238403i | ||||
\(305\) | −129.606 | − | 568.513i | −0.424938 | − | 1.86398i | ||||
\(306\) | −199.907 | + | 67.9970i | −0.653290 | + | 0.222212i | ||||
\(307\) | 150.022 | − | 150.022i | 0.488672 | − | 0.488672i | −0.419215 | − | 0.907887i | \(-0.637695\pi\) |
0.907887 | + | 0.419215i | \(0.137695\pi\) | |||||||
\(308\) | −72.6934 | − | 131.616i | −0.236018 | − | 0.427323i | ||||
\(309\) | 226.347 | + | 22.2227i | 0.732516 | + | 0.0719180i | ||||
\(310\) | 291.602 | − | 154.020i | 0.940650 | − | 0.496840i | ||||
\(311\) | 29.8412 | − | 51.6864i | 0.0959523 | − | 0.166194i | −0.814053 | − | 0.580790i | \(-0.802744\pi\) |
0.910006 | + | 0.414596i | \(0.136077\pi\) | |||||||
\(312\) | −38.8941 | + | 6.43379i | −0.124661 | + | 0.0206211i | ||||
\(313\) | 32.8475 | − | 122.588i | 0.104944 | − | 0.391656i | −0.893395 | − | 0.449272i | \(-0.851683\pi\) |
0.998339 | + | 0.0576160i | \(0.0183499\pi\) | |||||||
\(314\) | − | 127.559i | − | 0.406238i | ||||||
\(315\) | 2.97107 | + | 314.986i | 0.00943197 | + | 0.999956i | ||||
\(316\) | −63.6119 | −0.201303 | ||||||||
\(317\) | 270.266 | + | 72.4174i | 0.852573 | + | 0.228446i | 0.658537 | − | 0.752548i | \(-0.271176\pi\) |
0.194036 | + | 0.980994i | \(0.437842\pi\) | |||||||
\(318\) | −22.3812 | − | 135.301i | −0.0703811 | − | 0.425474i | ||||
\(319\) | −203.400 | − | 117.433i | −0.637616 | − | 0.368128i | ||||
\(320\) | 38.2199 | + | 11.8000i | 0.119437 | + | 0.0368750i | ||||
\(321\) | −38.7883 | + | 395.076i | −0.120836 | + | 1.23077i | ||||
\(322\) | 67.2284 | − | 111.501i | 0.208784 | − | 0.346277i | ||||
\(323\) | −24.5427 | − | 24.5427i | −0.0759837 | − | 0.0759837i | ||||
\(324\) | 160.588 | − | 21.3437i | 0.495641 | − | 0.0658756i | ||||
\(325\) | 21.5351 | + | 114.136i | 0.0662619 | + | 0.351189i | ||||
\(326\) | −76.4030 | − | 44.1113i | −0.234365 | − | 0.135311i | ||||
\(327\) | 170.779 | − | 454.174i | 0.522259 | − | 1.38891i | ||||
\(328\) | −83.5913 | − | 83.5913i | −0.254852 | − | 0.254852i | ||||
\(329\) | −135.238 | + | 468.929i | −0.411058 | + | 1.42532i | ||||
\(330\) | 137.854 | + | 181.384i | 0.417738 | + | 0.549649i | ||||
\(331\) | 74.7861 | + | 129.533i | 0.225940 | + | 0.391339i | 0.956601 | − | 0.291401i | \(-0.0941214\pi\) |
−0.730661 | + | 0.682740i | \(0.760788\pi\) | |||||||
\(332\) | −101.313 | + | 27.1467i | −0.305160 | + | 0.0817673i | ||||
\(333\) | −25.0794 | − | 379.049i | −0.0753135 | − | 1.13828i | ||||
\(334\) | 5.23730 | + | 9.07126i | 0.0156805 | + | 0.0271595i | ||||
\(335\) | −0.439662 | + | 11.6701i | −0.00131242 | + | 0.0348362i | ||||
\(336\) | 65.9164 | − | 52.0675i | 0.196180 | − | 0.154963i | ||||
\(337\) | 217.610 | + | 217.610i | 0.645728 | + | 0.645728i | 0.951958 | − | 0.306230i | \(-0.0990676\pi\) |
−0.306230 | + | 0.951958i | \(0.599068\pi\) | |||||||
\(338\) | 53.9575 | − | 201.372i | 0.159638 | − | 0.595776i | ||||
\(339\) | 37.7159 | − | 52.6668i | 0.111256 | − | 0.155359i | ||||
\(340\) | 88.2996 | − | 140.448i | 0.259705 | − | 0.413082i | ||||
\(341\) | −250.438 | − | 433.772i | −0.734423 | − | 1.27206i | ||||
\(342\) | 14.8079 | + | 22.1319i | 0.0432978 | + | 0.0647132i | ||||
\(343\) | 342.444 | + | 19.5191i | 0.998379 | + | 0.0569069i | ||||
\(344\) | −129.885 | −0.377574 | ||||||||
\(345\) | −76.3388 | + | 181.915i | −0.221272 | + | 0.527290i | ||||
\(346\) | 149.280 | + | 86.1868i | 0.431445 | + | 0.249095i | ||||
\(347\) | 18.6415 | + | 69.5709i | 0.0537218 | + | 0.200492i | 0.987571 | − | 0.157175i | \(-0.0502387\pi\) |
−0.933849 | + | 0.357668i | \(0.883572\pi\) | |||||||
\(348\) | 46.1819 | − | 122.817i | 0.132707 | − | 0.352924i | ||||
\(349\) | −257.887 | −0.738932 | −0.369466 | − | 0.929244i | \(-0.620459\pi\) | ||||
−0.369466 | + | 0.929244i | \(0.620459\pi\) | |||||||
\(350\) | −157.746 | − | 190.699i | −0.450703 | − | 0.544855i | ||||
\(351\) | 36.3027 | − | 120.074i | 0.103426 | − | 0.342092i | ||||
\(352\) | 15.7241 | − | 58.6830i | 0.0446706 | − | 0.166713i | ||||
\(353\) | −33.7279 | − | 125.874i | −0.0955466 | − | 0.356585i | 0.901555 | − | 0.432664i | \(-0.142426\pi\) |
−0.997102 | + | 0.0760795i | \(0.975760\pi\) | |||||||
\(354\) | 23.4351 | − | 32.7249i | 0.0662007 | − | 0.0924433i | ||||
\(355\) | 394.932 | + | 121.931i | 1.11249 | + | 0.343469i | ||||
\(356\) | −314.445 | −0.883274 | ||||||||
\(357\) | −137.833 | − | 319.963i | −0.386086 | − | 0.896254i | ||||
\(358\) | −64.0933 | + | 64.0933i | −0.179032 | + | 0.179032i | ||||
\(359\) | 315.396 | + | 546.282i | 0.878540 | + | 1.52168i | 0.852943 | + | 0.522004i | \(0.174815\pi\) |
0.0255973 | + | 0.999672i | \(0.491851\pi\) | |||||||
\(360\) | −87.4070 | + | 92.5204i | −0.242797 | + | 0.257001i | ||||
\(361\) | 178.311 | − | 308.844i | 0.493938 | − | 0.855525i | ||||
\(362\) | 111.861 | − | 417.472i | 0.309009 | − | 1.15324i | ||||
\(363\) | −13.1181 | + | 10.7725i | −0.0361380 | + | 0.0296764i | ||||
\(364\) | −15.6393 | − | 63.1359i | −0.0429650 | − | 0.173450i | ||||
\(365\) | 17.3566 | − | 460.702i | 0.0475523 | − | 1.26220i | ||||
\(366\) | −204.337 | − | 450.611i | −0.558297 | − | 1.23118i | ||||
\(367\) | 41.5321 | + | 155.000i | 0.113167 | + | 0.422343i | 0.999143 | − | 0.0413865i | \(-0.0131775\pi\) |
−0.885977 | + | 0.463730i | \(0.846511\pi\) | |||||||
\(368\) | 50.8163 | − | 13.6162i | 0.138088 | − | 0.0370005i | ||||
\(369\) | 356.123 | − | 121.133i | 0.965104 | − | 0.328274i | ||||
\(370\) | 202.948 | + | 218.839i | 0.548508 | + | 0.591456i | ||||
\(371\) | 219.631 | − | 54.4042i | 0.591997 | − | 0.146642i | ||||
\(372\) | 216.254 | − | 177.587i | 0.581327 | − | 0.477383i | ||||
\(373\) | −3.96685 | − | 1.06291i | −0.0106350 | − | 0.00284963i | 0.253498 | − | 0.967336i | \(-0.418419\pi\) |
−0.264133 | + | 0.964486i | \(0.585086\pi\) | |||||||
\(374\) | −218.214 | − | 125.986i | −0.583460 | − | 0.336861i | ||||
\(375\) | 278.329 | + | 251.313i | 0.742210 | + | 0.670167i | ||||
\(376\) | −170.779 | + | 98.5991i | −0.454199 | + | 0.262232i | ||||
\(377\) | −71.8441 | − | 71.8441i | −0.190568 | − | 0.190568i | ||||
\(378\) | 55.9856 | + | 261.357i | 0.148110 | + | 0.691421i | ||||
\(379\) | − | 282.119i | − | 0.744377i | −0.928157 | − | 0.372189i | \(-0.878607\pi\) | ||
0.928157 | − | 0.372189i | \(-0.121393\pi\) | |||||||
\(380\) | −19.9905 | − | 6.17187i | −0.0526066 | − | 0.0162418i | ||||
\(381\) | −149.565 | + | 208.854i | −0.392559 | + | 0.548174i | ||||
\(382\) | −143.766 | + | 38.5220i | −0.376351 | + | 0.100843i | ||||
\(383\) | 525.594 | + | 140.832i | 1.37231 | + | 0.367709i | 0.868321 | − | 0.496003i | \(-0.165200\pi\) |
0.503986 | + | 0.863712i | \(0.331866\pi\) | |||||||
\(384\) | 33.7787 | + | 3.31638i | 0.0879654 | + | 0.00863640i | ||||
\(385\) | −280.414 | + | 250.323i | −0.728348 | + | 0.650190i | ||||
\(386\) | 165.711i | 0.429303i | ||||||||
\(387\) | 182.566 | − | 370.784i | 0.471746 | − | 0.958098i | ||||
\(388\) | −114.433 | + | 30.6624i | −0.294932 | + | 0.0790267i | ||||
\(389\) | −22.1584 | + | 38.3795i | −0.0569626 | + | 0.0986621i | −0.893101 | − | 0.449857i | \(-0.851475\pi\) |
0.836138 | + | 0.548519i | \(0.184808\pi\) | |||||||
\(390\) | 37.2947 | + | 91.2279i | 0.0956274 | + | 0.233918i | ||||
\(391\) | − | 218.194i | − | 0.558041i | ||||||
\(392\) | 94.2104 | + | 101.648i | 0.240333 | + | 0.259307i | ||||
\(393\) | −396.519 | + | 325.620i | −1.00896 | + | 0.828550i | ||||
\(394\) | −393.617 | + | 227.255i | −0.999028 | + | 0.576789i | ||||
\(395\) | 35.3477 | + | 155.052i | 0.0894878 | + | 0.392536i | ||||
\(396\) | 145.421 | + | 127.372i | 0.367224 | + | 0.321646i | ||||
\(397\) | 273.314 | + | 73.2343i | 0.688448 | + | 0.184469i | 0.586051 | − | 0.810274i | \(-0.300682\pi\) |
0.102398 | + | 0.994744i | \(0.467349\pi\) | |||||||
\(398\) | −107.503 | + | 107.503i | −0.270107 | + | 0.270107i | ||||
\(399\) | −34.4769 | + | 27.2334i | −0.0864082 | + | 0.0682540i | ||||
\(400\) | 7.52416 | − | 99.7165i | 0.0188104 | − | 0.249291i | ||||
\(401\) | 359.724 | − | 207.687i | 0.897067 | − | 0.517922i | 0.0208196 | − | 0.999783i | \(-0.493372\pi\) |
0.876247 | + | 0.481861i | \(0.160039\pi\) | |||||||
\(402\) | 1.61722 | + | 9.77659i | 0.00402294 | + | 0.0243199i | ||||
\(403\) | −56.0806 | − | 209.296i | −0.139158 | − | 0.519344i | ||||
\(404\) | 322.119 | − | 185.975i | 0.797323 | − | 0.460335i | ||||
\(405\) | −141.259 | − | 379.567i | −0.348789 | − | 0.937201i | ||||
\(406\) | 208.013 | + | 59.9904i | 0.512347 | + | 0.147760i | ||||
\(407\) | 320.538 | − | 320.538i | 0.787562 | − | 0.787562i | ||||
\(408\) | 49.5455 | − | 131.763i | 0.121435 | − | 0.322948i | ||||
\(409\) | 257.340 | − | 445.725i | 0.629192 | − | 1.08979i | −0.358522 | − | 0.933521i | \(-0.616719\pi\) |
0.987714 | − | 0.156272i | \(-0.0499475\pi\) | |||||||
\(410\) | −157.301 | + | 250.200i | −0.383661 | + | 0.610245i | ||||
\(411\) | −102.774 | + | 46.6046i | −0.250059 | + | 0.113393i | ||||
\(412\) | −107.214 | + | 107.214i | −0.260229 | + | 0.260229i | ||||
\(413\) | 56.8725 | + | 34.2907i | 0.137706 | + | 0.0830283i | ||||
\(414\) | −32.5568 | + | 164.204i | −0.0786395 | + | 0.396628i | ||||
\(415\) | 122.467 | + | 231.862i | 0.295100 | + | 0.558703i | ||||
\(416\) | 13.1409 | − | 22.7607i | 0.0315887 | − | 0.0547132i | ||||
\(417\) | −82.2343 | − | 497.130i | −0.197205 | − | 1.19216i | ||||
\(418\) | −8.22430 | + | 30.6935i | −0.0196754 | + | 0.0734295i | ||||
\(419\) | − | 18.1550i | − | 0.0433294i | −0.999765 | − | 0.0216647i | \(-0.993103\pi\) | ||
0.999765 | − | 0.0216647i | \(-0.00689662\pi\) | |||||||
\(420\) | −163.541 | − | 131.736i | −0.389383 | − | 0.313657i | ||||
\(421\) | −744.462 | −1.76832 | −0.884160 | − | 0.467185i | \(-0.845268\pi\) | ||||
−0.884160 | + | 0.467185i | \(0.845268\pi\) | |||||||
\(422\) | −406.441 | − | 108.906i | −0.963131 | − | 0.258070i | ||||
\(423\) | −41.4261 | − | 626.112i | −0.0979340 | − | 1.48017i | ||||
\(424\) | 79.1775 | + | 45.7132i | 0.186739 | + | 0.107814i | ||||
\(425\) | −391.403 | − | 137.183i | −0.920947 | − | 0.322784i | ||||
\(426\) | 349.041 | + | 34.2686i | 0.819345 | + | 0.0804428i | ||||
\(427\) | 714.589 | − | 394.679i | 1.67351 | − | 0.924307i | ||||
\(428\) | −187.136 | − | 187.136i | −0.437234 | − | 0.437234i | ||||
\(429\) | 136.329 | − | 61.8205i | 0.317782 | − | 0.144104i | ||||
\(430\) | 72.1744 | + | 316.591i | 0.167847 | + | 0.736258i | ||||
\(431\) | 250.590 | + | 144.678i | 0.581416 | + | 0.335681i | 0.761696 | − | 0.647935i | \(-0.224367\pi\) |
−0.180280 | + | 0.983615i | \(0.557700\pi\) | |||||||
\(432\) | −56.9463 | + | 91.7667i | −0.131820 | + | 0.212423i | ||||
\(433\) | 71.7806 | + | 71.7806i | 0.165775 | + | 0.165775i | 0.785119 | − | 0.619344i | \(-0.212602\pi\) |
−0.619344 | + | 0.785119i | \(0.712602\pi\) | |||||||
\(434\) | 320.209 | + | 332.601i | 0.737810 | + | 0.766361i | ||||
\(435\) | −325.025 | − | 44.3198i | −0.747184 | − | 0.101885i | ||||
\(436\) | 161.740 | + | 280.142i | 0.370964 | + | 0.642528i | ||||
\(437\) | −26.5789 | + | 7.12180i | −0.0608213 | + | 0.0162970i | ||||
\(438\) | −63.8433 | − | 385.951i | −0.145761 | − | 0.881167i | ||||
\(439\) | −387.852 | − | 671.779i | −0.883489 | − | 1.53025i | −0.847435 | − | 0.530899i | \(-0.821854\pi\) |
−0.0360543 | − | 0.999350i | \(-0.511479\pi\) | |||||||
\(440\) | −151.775 | − | 5.71801i | −0.344943 | − | 0.0129955i | ||||
\(441\) | −422.597 | + | 126.066i | −0.958270 | + | 0.285865i | ||||
\(442\) | −77.0767 | − | 77.0767i | −0.174382 | − | 0.174382i | ||||
\(443\) | −95.9678 | + | 358.157i | −0.216632 | + | 0.808480i | 0.768954 | + | 0.639304i | \(0.220777\pi\) |
−0.985586 | + | 0.169176i | \(0.945889\pi\) | |||||||
\(444\) | 205.900 | + | 147.450i | 0.463739 | + | 0.332094i | ||||
\(445\) | 174.730 | + | 766.449i | 0.392652 | + | 1.72236i | ||||
\(446\) | −194.026 | − | 336.064i | −0.435037 | − | 0.753506i | ||||
\(447\) | −639.222 | + | 524.927i | −1.43003 | + | 1.17433i | ||||
\(448\) | −1.06277 | + | 55.9899i | −0.00237226 | + | 0.124977i | ||||
\(449\) | −777.510 | −1.73165 | −0.865825 | − | 0.500348i | \(-0.833206\pi\) | ||||
−0.865825 | + | 0.500348i | \(0.833206\pi\) | |||||||
\(450\) | 274.085 | + | 161.640i | 0.609078 | + | 0.359200i | ||||
\(451\) | 388.736 | + | 224.437i | 0.861943 | + | 0.497643i | ||||
\(452\) | 11.1773 | + | 41.7143i | 0.0247286 | + | 0.0922883i | ||||
\(453\) | 339.835 | + | 127.785i | 0.750187 | + | 0.282086i | ||||
\(454\) | −94.2856 | −0.207678 | ||||||||
\(455\) | −145.201 | + | 73.2033i | −0.319123 | + | 0.160886i | ||||
\(456\) | −17.6676 | − | 1.73460i | −0.0387447 | − | 0.00380394i | ||||
\(457\) | −195.875 | + | 731.014i | −0.428609 | + | 1.59959i | 0.327303 | + | 0.944919i | \(0.393860\pi\) |
−0.755912 | + | 0.654673i | \(0.772806\pi\) | |||||||
\(458\) | −16.1339 | − | 60.2126i | −0.0352269 | − | 0.131468i | ||||
\(459\) | 306.502 | + | 326.642i | 0.667761 | + | 0.711638i | ||||
\(460\) | −61.4264 | − | 116.297i | −0.133536 | − | 0.252819i | ||||
\(461\) | −199.974 | −0.433783 | −0.216892 | − | 0.976196i | \(-0.569592\pi\) | ||||
−0.216892 | + | 0.976196i | \(0.569592\pi\) | |||||||
\(462\) | −190.591 | + | 255.747i | −0.412535 | + | 0.553565i | ||||
\(463\) | 508.040 | − | 508.040i | 1.09728 | − | 1.09728i | 0.102550 | − | 0.994728i | \(-0.467300\pi\) |
0.994728 | − | 0.102550i | \(-0.0327002\pi\) | |||||||
\(464\) | 43.7377 | + | 75.7559i | 0.0942623 | + | 0.163267i | ||||
\(465\) | −553.028 | − | 428.429i | −1.18931 | − | 0.921353i | ||||
\(466\) | −21.6151 | + | 37.4384i | −0.0463843 | + | 0.0803400i | ||||
\(467\) | 67.3165 | − | 251.229i | 0.144147 | − | 0.537963i | −0.855645 | − | 0.517563i | \(-0.826839\pi\) |
0.999792 | − | 0.0204000i | \(-0.00649398\pi\) | |||||||
\(468\) | 46.5042 | + | 69.5055i | 0.0993680 | + | 0.148516i | ||||
\(469\) | −15.8701 | + | 3.93115i | −0.0338382 | + | 0.00838198i | ||||
\(470\) | 335.229 | + | 361.477i | 0.713254 | + | 0.769101i | ||||
\(471\) | −246.439 | + | 111.752i | −0.523225 | + | 0.237265i | ||||
\(472\) | 6.94511 | + | 25.9195i | 0.0147142 | + | 0.0549142i | ||||
\(473\) | 476.379 | − | 127.645i | 1.00714 | − | 0.269863i | ||||
\(474\) | 55.7291 | + | 122.896i | 0.117572 | + | 0.259274i | ||||
\(475\) | −3.93543 | + | 52.1557i | −0.00828512 | + | 0.109801i | ||||
\(476\) | 223.163 | + | 64.3597i | 0.468830 | + | 0.135209i | ||||
\(477\) | −241.789 | + | 161.774i | −0.506894 | + | 0.339149i | ||||
\(478\) | 291.985 | + | 78.2372i | 0.610847 | + | 0.163676i | ||||
\(479\) | −559.185 | − | 322.846i | −1.16740 | − | 0.674000i | −0.214335 | − | 0.976760i | \(-0.568758\pi\) |
−0.953067 | + | 0.302761i | \(0.902092\pi\) | |||||||
\(480\) | −10.6865 | − | 84.1772i | −0.0222636 | − | 0.175369i | ||||
\(481\) | 169.829 | − | 98.0507i | 0.353074 | − | 0.203848i | ||||
\(482\) | 73.4615 | + | 73.4615i | 0.152410 | + | 0.152410i | ||||
\(483\) | −274.314 | − | 32.1988i | −0.567937 | − | 0.0666643i | ||||
\(484\) | − | 11.3163i | − | 0.0233808i | ||||||
\(485\) | 138.326 | + | 261.889i | 0.285209 | + | 0.539977i | ||||
\(486\) | −181.923 | − | 291.551i | −0.374327 | − | 0.599899i | ||||
\(487\) | −523.382 | + | 140.240i | −1.07471 | + | 0.287967i | −0.752426 | − | 0.658677i | \(-0.771116\pi\) |
−0.322281 | + | 0.946644i | \(0.604450\pi\) | |||||||
\(488\) | 318.611 | + | 85.3717i | 0.652892 | + | 0.174942i | ||||
\(489\) | −18.2862 | + | 186.253i | −0.0373951 | + | 0.380885i | ||||
\(490\) | 195.414 | − | 286.118i | 0.398803 | − | 0.583914i | ||||
\(491\) | 663.596i | 1.35152i | 0.737122 | + | 0.675760i | \(0.236184\pi\) | ||||
−0.737122 | + | 0.675760i | \(0.763816\pi\) | |||||||
\(492\) | −88.2626 | + | 234.728i | −0.179396 | + | 0.477090i | ||||
\(493\) | 350.440 | − | 93.9000i | 0.710831 | − | 0.190467i | ||||
\(494\) | −6.87320 | + | 11.9047i | −0.0139134 | + | 0.0240987i | ||||
\(495\) | 229.657 | − | 425.235i | 0.463953 | − | 0.859061i | ||||
\(496\) | 186.551i | 0.376110i | ||||||||
\(497\) | −10.9818 | + | 578.553i | −0.0220962 | + | 1.16409i | ||||
\(498\) | 141.205 | + | 171.950i | 0.283544 | + | 0.345282i | ||||
\(499\) | 632.196 | − | 364.999i | 1.26693 | − | 0.731460i | 0.292521 | − | 0.956259i | \(-0.405506\pi\) |
0.974405 | + | 0.224799i | \(0.0721725\pi\) | |||||||
\(500\) | −247.236 | + | 37.0703i | −0.494473 | + | 0.0741407i | ||||
\(501\) | 12.9371 | − | 18.0654i | 0.0258225 | − | 0.0360587i | ||||
\(502\) | 321.051 | + | 86.0255i | 0.639545 | + | 0.171365i | ||||
\(503\) | −151.136 | + | 151.136i | −0.300470 | + | 0.300470i | −0.841198 | − | 0.540728i | \(-0.818149\pi\) |
0.540728 | + | 0.841198i | \(0.318149\pi\) | |||||||
\(504\) | −158.341 | − | 81.7328i | −0.314168 | − | 0.162168i | ||||
\(505\) | −632.302 | − | 681.810i | −1.25208 | − | 1.35012i | ||||
\(506\) | −172.997 | + | 99.8798i | −0.341891 | + | 0.197391i | ||||
\(507\) | −436.315 | + | 72.1743i | −0.860581 | + | 0.142356i | ||||
\(508\) | −44.3244 | − | 165.421i | −0.0872528 | − | 0.325632i | ||||
\(509\) | 315.266 | − | 182.019i | 0.619383 | − | 0.357601i | −0.157246 | − | 0.987560i | \(-0.550261\pi\) |
0.776629 | + | 0.629959i | \(0.216928\pi\) | |||||||
\(510\) | −348.698 | − | 47.5478i | −0.683721 | − | 0.0932309i | ||||
\(511\) | 626.506 | − | 155.190i | 1.22604 | − | 0.303699i | ||||
\(512\) | −16.0000 | + | 16.0000i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 29.7852 | − | 47.9976i | 0.0580607 | − | 0.0935625i | ||||
\(514\) | −270.342 | + | 468.247i | −0.525958 | + | 0.910986i | ||||
\(515\) | 320.907 | + | 201.754i | 0.623120 | + | 0.391756i | ||||
\(516\) | 113.790 | + | 250.934i | 0.220524 | + | 0.486306i | ||||
\(517\) | 529.464 | − | 529.464i | 1.02411 | − | 1.02411i | ||||
\(518\) | −215.752 | + | 357.833i | −0.416509 | + | 0.690798i | ||||
\(519\) | 35.7285 | − | 363.910i | 0.0688410 | − | 0.701175i | ||||
\(520\) | −62.7804 | − | 19.3828i | −0.120732 | − | 0.0372747i | ||||
\(521\) | −98.0617 | + | 169.848i | −0.188218 | + | 0.326003i | −0.944656 | − | 0.328062i | \(-0.893605\pi\) |
0.756438 | + | 0.654065i | \(0.226938\pi\) | |||||||
\(522\) | −277.738 | + | 18.3763i | −0.532065 | + | 0.0352036i | ||||
\(523\) | −182.310 | + | 680.391i | −0.348586 | + | 1.30094i | 0.539781 | + | 0.841805i | \(0.318507\pi\) |
−0.888367 | + | 0.459134i | \(0.848160\pi\) | |||||||
\(524\) | − | 342.057i | − | 0.652780i | ||||||
\(525\) | −230.226 | + | 471.827i | −0.438525 | + | 0.898719i | ||||
\(526\) | −431.852 | −0.821012 | ||||||||
\(527\) | 747.350 | + | 200.252i | 1.41812 | + | 0.379985i | ||||
\(528\) | −127.149 | + | 21.0327i | −0.240812 | + | 0.0398347i | ||||
\(529\) | 308.321 | + | 178.009i | 0.582838 | + | 0.336502i | ||||
\(530\) | 67.4270 | − | 218.394i | 0.127221 | − | 0.412064i | ||||
\(531\) | −83.7544 | − | 16.6060i | −0.157730 | − | 0.0312731i | ||||
\(532\) | 0.555872 | − | 29.2849i | 0.00104487 | − | 0.0550469i | ||||
\(533\) | 137.308 | + | 137.308i | 0.257614 | + | 0.257614i | ||||
\(534\) | 275.480 | + | 607.497i | 0.515879 | + | 1.13763i | ||||
\(535\) | −352.150 | + | 560.124i | −0.658224 | + | 1.04696i | ||||
\(536\) | −5.72122 | − | 3.30315i | −0.0106739 | − | 0.00616259i | ||||
\(537\) | 179.977 | + | 67.6751i | 0.335153 | + | 0.126024i | ||||
\(538\) | −176.936 | − | 176.936i | −0.328877 | − | 0.328877i | ||||
\(539\) | −445.430 | − | 280.229i | −0.826400 | − | 0.519905i | ||||
\(540\) | 255.322 | + | 87.8118i | 0.472818 | + | 0.162615i | ||||
\(541\) | −36.0002 | − | 62.3542i | −0.0665438 | − | 0.115257i | 0.830834 | − | 0.556520i | \(-0.187864\pi\) |
−0.897378 | + | 0.441263i | \(0.854531\pi\) | |||||||
\(542\) | −527.005 | + | 141.211i | −0.972334 | + | 0.260536i | ||||
\(543\) | −904.540 | + | 149.627i | −1.66582 | + | 0.275557i | ||||
\(544\) | 46.9233 | + | 81.2735i | 0.0862560 | + | 0.149400i | ||||
\(545\) | 592.961 | − | 549.904i | 1.08800 | − | 1.00900i | ||||
\(546\) | −108.275 | + | 85.5267i | −0.198306 | + | 0.156642i | ||||
\(547\) | 369.252 | + | 369.252i | 0.675049 | + | 0.675049i | 0.958876 | − | 0.283827i | \(-0.0916040\pi\) |
−0.283827 | + | 0.958876i | \(0.591604\pi\) | |||||||
\(548\) | 19.4713 | − | 72.6680i | 0.0355316 | − | 0.132606i | ||||
\(549\) | −691.548 | + | 789.543i | −1.25965 | + | 1.43815i | ||||
\(550\) | 70.4005 | + | 373.123i | 0.128001 | + | 0.678406i | ||||
\(551\) | −22.8765 | − | 39.6233i | −0.0415182 | − | 0.0719117i | ||||
\(552\) | −70.8252 | − | 86.2464i | −0.128306 | − | 0.156243i | ||||
\(553\) | −194.891 | + | 107.641i | −0.352425 | + | 0.194650i | ||||
\(554\) | −653.544 | −1.17968 | ||||||||
\(555\) | 244.989 | − | 583.809i | 0.441422 | − | 1.05191i | ||||
\(556\) | 290.919 | + | 167.962i | 0.523235 | + | 0.302090i | ||||
\(557\) | 60.6241 | + | 226.252i | 0.108840 | + | 0.406198i | 0.998753 | − | 0.0499341i | \(-0.0159011\pi\) |
−0.889912 | + | 0.456132i | \(0.849234\pi\) | |||||||
\(558\) | −532.547 | − | 262.214i | −0.954385 | − | 0.469917i | ||||
\(559\) | 213.351 | 0.381666 | ||||||||
\(560\) | 137.064 | − | 28.5218i | 0.244757 | − | 0.0509319i | ||||
\(561\) | −52.2271 | + | 531.955i | −0.0930964 | + | 0.948227i | ||||
\(562\) | −36.9546 | + | 137.916i | −0.0657555 | + | 0.245403i | ||||
\(563\) | 13.3709 | + | 49.9008i | 0.0237494 | + | 0.0886338i | 0.976783 | − | 0.214230i | \(-0.0687241\pi\) |
−0.953034 | + | 0.302863i | \(0.902057\pi\) | |||||||
\(564\) | 340.106 | + | 243.557i | 0.603024 | + | 0.431839i | ||||
\(565\) | 95.4661 | − | 50.4240i | 0.168966 | − | 0.0892460i | ||||
\(566\) | 544.337 | 0.961727 | ||||||||
\(567\) | 455.885 | − | 337.132i | 0.804029 | − | 0.594590i | ||||
\(568\) | −165.331 | + | 165.331i | −0.291075 | + | 0.291075i | ||||
\(569\) | −79.3283 | − | 137.401i | −0.139417 | − | 0.241477i | 0.787859 | − | 0.615856i | \(-0.211189\pi\) |
−0.927276 | + | 0.374378i | \(0.877856\pi\) | |||||||
\(570\) | 5.58947 | + | 44.0280i | 0.00980609 | + | 0.0772421i | ||||
\(571\) | 396.116 | − | 686.092i | 0.693723 | − | 1.20156i | −0.276887 | − | 0.960903i | \(-0.589303\pi\) |
0.970609 | − | 0.240660i | \(-0.0773640\pi\) | |||||||
\(572\) | −25.8285 | + | 96.3933i | −0.0451547 | + | 0.168520i | ||||
\(573\) | 200.374 | + | 244.002i | 0.349692 | + | 0.425833i | ||||
\(574\) | −397.553 | − | 114.653i | −0.692601 | − | 0.199745i | ||||
\(575\) | −249.335 | + | 214.348i | −0.433627 | + | 0.372779i | ||||
\(576\) | −23.1858 | − | 68.1647i | −0.0402531 | − | 0.118341i | ||||
\(577\) | −218.523 | − | 815.540i | −0.378723 | − | 1.41341i | −0.847828 | − | 0.530271i | \(-0.822090\pi\) |
0.469105 | − | 0.883142i | \(-0.344577\pi\) | |||||||
\(578\) | −18.8178 | + | 5.04222i | −0.0325568 | + | 0.00872357i | ||||
\(579\) | 320.148 | − | 145.176i | 0.552932 | − | 0.250736i | ||||
\(580\) | 160.348 | − | 148.705i | 0.276462 | − | 0.256388i | ||||
\(581\) | −264.462 | + | 254.609i | −0.455184 | + | 0.438225i | ||||
\(582\) | 159.492 | + | 194.219i | 0.274040 | + | 0.333709i | ||||
\(583\) | −335.323 | − | 89.8495i | −0.575168 | − | 0.154116i | ||||
\(584\) | 225.857 | + | 130.399i | 0.386742 | + | 0.223285i | ||||
\(585\) | 143.576 | − | 151.975i | 0.245429 | − | 0.259786i | ||||
\(586\) | 449.038 | − | 259.252i | 0.766276 | − | 0.442410i | ||||
\(587\) | −395.180 | − | 395.180i | −0.673220 | − | 0.673220i | 0.285237 | − | 0.958457i | \(-0.407928\pi\) |
−0.958457 | + | 0.285237i | \(0.907928\pi\) | |||||||
\(588\) | 113.845 | − | 271.063i | 0.193614 | − | 0.460992i | ||||
\(589\) | − | 97.5734i | − | 0.165659i | ||||||
\(590\) | 59.3186 | − | 31.3313i | 0.100540 | − | 0.0531039i | ||||
\(591\) | 783.888 | + | 561.360i | 1.32638 | + | 0.949847i | ||||
\(592\) | −163.081 | + | 43.6976i | −0.275475 | + | 0.0738134i | ||||
\(593\) | 116.227 | + | 31.1428i | 0.195998 | + | 0.0525174i | 0.355482 | − | 0.934683i | \(-0.384317\pi\) |
−0.159485 | + | 0.987200i | \(0.550983\pi\) | |||||||
\(594\) | 118.677 | − | 392.536i | 0.199793 | − | 0.660834i | ||||
\(595\) | 32.8677 | − | 579.715i | 0.0552398 | − | 0.974311i | ||||
\(596\) | − | 551.423i | − | 0.925207i | ||||||
\(597\) | 301.872 | + | 113.510i | 0.505649 | + | 0.190134i | ||||
\(598\) | −83.4714 | + | 22.3661i | −0.139584 | + | 0.0374015i | ||||
\(599\) | 598.910 | − | 1037.34i | 0.999850 | − | 1.73179i | 0.484920 | − | 0.874558i | \(-0.338849\pi\) |
0.514930 | − | 0.857232i | \(-0.327818\pi\) | |||||||
\(600\) | −199.240 | + | 72.8233i | −0.332067 | + | 0.121372i | ||||
\(601\) | − | 170.669i | − | 0.283975i | −0.989868 | − | 0.141988i | \(-0.954651\pi\) | ||
0.989868 | − | 0.141988i | \(-0.0453493\pi\) | |||||||
\(602\) | −397.937 | + | 219.787i | −0.661025 | + | 0.365095i | ||||
\(603\) | 17.4712 | − | 11.6895i | 0.0289738 | − | 0.0193856i | ||||
\(604\) | −209.616 | + | 121.022i | −0.347047 | + | 0.200367i | ||||
\(605\) | −27.5830 | + | 6.28821i | −0.0455918 | + | 0.0103937i | ||||
\(606\) | −641.499 | − | 459.392i | −1.05858 | − | 0.758073i | ||||
\(607\) | −375.584 | − | 100.638i | −0.618755 | − | 0.165795i | −0.0641933 | − | 0.997937i | \(-0.520447\pi\) |
−0.554562 | + | 0.832143i | \(0.687114\pi\) | |||||||
\(608\) | 8.36863 | − | 8.36863i | 0.0137642 | − | 0.0137642i | ||||
\(609\) | −66.3368 | − | 454.430i | −0.108927 | − | 0.746190i | ||||
\(610\) | 31.0452 | − | 824.042i | 0.0508937 | − | 1.35089i | ||||
\(611\) | 280.523 | − | 161.960i | 0.459121 | − | 0.265074i | ||||
\(612\) | −297.967 | + | 19.7147i | −0.486873 | + | 0.0322135i | ||||
\(613\) | 71.3663 | + | 266.343i | 0.116421 | + | 0.434490i | 0.999389 | − | 0.0349428i | \(-0.0111249\pi\) |
−0.882968 | + | 0.469433i | \(0.844458\pi\) | |||||||
\(614\) | 259.846 | − | 150.022i | 0.423202 | − | 0.244336i | ||||
\(615\) | 621.186 | + | 84.7038i | 1.01006 | + | 0.137730i | ||||
\(616\) | −51.1264 | − | 206.398i | −0.0829974 | − | 0.335062i | ||||
\(617\) | 140.458 | − | 140.458i | 0.227647 | − | 0.227647i | −0.584062 | − | 0.811709i | \(-0.698538\pi\) |
0.811709 | + | 0.584062i | \(0.198538\pi\) | |||||||
\(618\) | 301.062 | + | 113.206i | 0.487156 | + | 0.183181i | ||||
\(619\) | −514.196 | + | 890.614i | −0.830688 | + | 1.43879i | 0.0668049 | + | 0.997766i | \(0.478719\pi\) |
−0.897493 | + | 0.441028i | \(0.854614\pi\) | |||||||
\(620\) | 454.710 | − | 103.662i | 0.733404 | − | 0.167197i | ||||
\(621\) | 345.759 | − | 80.9576i | 0.556777 | − | 0.130366i | ||||
\(622\) | 59.6823 | − | 59.6823i | 0.0959523 | − | 0.0959523i | ||||
\(623\) | −963.384 | + | 532.092i | −1.54636 | + | 0.854081i | ||||
\(624\) | −55.4853 | − | 5.44752i | −0.0889187 | − | 0.00872999i | ||||
\(625\) | 227.741 | + | 582.030i | 0.364386 | + | 0.931248i | ||||
\(626\) | 89.7410 | − | 155.436i | 0.143356 | − | 0.248300i | ||||
\(627\) | 66.5039 | − | 11.0009i | 0.106067 | − | 0.0175454i | ||||
\(628\) | 46.6898 | − | 174.249i | 0.0743468 | − | 0.277466i | ||||
\(629\) | 700.236i | 1.11325i | ||||||||
\(630\) | −111.234 | + | 431.366i | −0.176562 | + | 0.684708i | ||||
\(631\) | −328.983 | −0.521367 | −0.260684 | − | 0.965424i | \(-0.583948\pi\) | ||||
−0.260684 | + | 0.965424i | \(0.583948\pi\) | |||||||
\(632\) | −86.8954 | − | 23.2836i | −0.137493 | − | 0.0368411i | ||||
\(633\) | 145.674 | + | 880.639i | 0.230132 | + | 1.39122i | ||||
\(634\) | 342.683 | + | 197.848i | 0.540509 | + | 0.312063i | ||||
\(635\) | −378.578 | + | 199.960i | −0.596185 | + | 0.314897i | ||||
\(636\) | 18.9503 | − | 193.016i | 0.0297960 | − | 0.303485i | ||||
\(637\) | −154.751 | − | 166.969i | −0.242937 | − | 0.262117i | ||||
\(638\) | −234.866 | − | 234.866i | −0.368128 | − | 0.368128i | ||||
\(639\) | −239.582 | − | 704.356i | −0.374933 | − | 1.10228i | ||||
\(640\) | 47.8902 | + | 30.1086i | 0.0748285 | + | 0.0470446i | ||||
\(641\) | 199.327 | + | 115.081i | 0.310962 | + | 0.179534i | 0.647357 | − | 0.762187i | \(-0.275874\pi\) |
−0.336395 | + | 0.941721i | \(0.609208\pi\) | |||||||
\(642\) | −197.594 | + | 525.486i | −0.307778 | + | 0.818514i | ||||
\(643\) | 301.400 | + | 301.400i | 0.468740 | + | 0.468740i | 0.901506 | − | 0.432766i | \(-0.142462\pi\) |
−0.432766 | + | 0.901506i | \(0.642462\pi\) | |||||||
\(644\) | 132.648 | − | 127.706i | 0.205975 | − | 0.198301i | ||||
\(645\) | 548.412 | − | 416.797i | 0.850250 | − | 0.646198i | ||||
\(646\) | −24.5427 | − | 42.5092i | −0.0379918 | − | 0.0658038i | ||||
\(647\) | 623.121 | − | 166.965i | 0.963092 | − | 0.258060i | 0.257184 | − | 0.966363i | \(-0.417206\pi\) |
0.705909 | + | 0.708303i | \(0.250539\pi\) | |||||||
\(648\) | 227.179 | + | 29.6232i | 0.350585 | + | 0.0457148i | ||||
\(649\) | −50.9450 | − | 88.2393i | −0.0784977 | − | 0.135962i | ||||
\(650\) | −12.3593 | + | 163.795i | −0.0190143 | + | 0.251993i | ||||
\(651\) | 362.043 | − | 910.018i | 0.556134 | − | 1.39788i | ||||
\(652\) | −88.2225 | − | 88.2225i | −0.135311 | − | 0.135311i | ||||
\(653\) | −187.337 | + | 699.151i | −0.286886 | + | 1.07067i | 0.660563 | + | 0.750770i | \(0.270318\pi\) |
−0.947450 | + | 0.319905i | \(0.896349\pi\) | |||||||
\(654\) | 399.527 | − | 557.903i | 0.610898 | − | 0.853063i | ||||
\(655\) | −833.750 | + | 190.073i | −1.27290 | + | 0.290188i | ||||
\(656\) | −83.5913 | − | 144.784i | −0.127426 | − | 0.220708i | ||||
\(657\) | −689.712 | + | 461.467i | −1.04979 | + | 0.702385i | ||||
\(658\) | −356.378 | + | 591.068i | −0.541609 | + | 0.898280i | ||||
\(659\) | 1009.35 | 1.53165 | 0.765823 | − | 0.643052i | \(-0.222332\pi\) | ||||
0.765823 | + | 0.643052i | \(0.222332\pi\) | |||||||
\(660\) | 121.920 | + | 298.233i | 0.184728 | + | 0.451869i | ||||
\(661\) | −305.298 | − | 176.264i | −0.461873 | − | 0.266663i | 0.250958 | − | 0.967998i | \(-0.419254\pi\) |
−0.712832 | + | 0.701335i | \(0.752588\pi\) | |||||||
\(662\) | 54.7472 | + | 204.319i | 0.0826997 | + | 0.308640i | ||||
\(663\) | −81.3840 | + | 216.435i | −0.122751 | + | 0.326448i | ||||
\(664\) | −148.333 | −0.223392 | ||||||||
\(665\) | −71.6898 | + | 14.9180i | −0.107804 | + | 0.0224332i | ||||
\(666\) | 104.482 | − | 526.970i | 0.156880 | − | 0.791246i | ||||
\(667\) | 74.4426 | − | 277.824i | 0.111608 | − | 0.416527i | ||||
\(668\) | 3.83397 | + | 14.3086i | 0.00573947 | + | 0.0214200i | ||||
\(669\) | −479.280 | + | 669.271i | −0.716412 | + | 1.00041i | ||||
\(670\) | −4.87215 | + | 15.7807i | −0.00727186 | + | 0.0235533i | ||||
\(671\) | −1252.47 | −1.86657 | ||||||||
\(672\) | 109.102 | − | 46.9984i | 0.162353 | − | 0.0699382i | ||||
\(673\) | −328.459 | + | 328.459i | −0.488052 | + | 0.488052i | −0.907691 | − | 0.419639i | \(-0.862157\pi\) |
0.419639 | + | 0.907691i | \(0.362157\pi\) | |||||||
\(674\) | 217.610 | + | 376.912i | 0.322864 | + | 0.559217i | ||||
\(675\) | 72.1617 | − | 671.132i | 0.106906 | − | 0.994269i | ||||
\(676\) | 147.415 | − | 255.330i | 0.218069 | − | 0.377707i | ||||
\(677\) | −97.5907 | + | 364.214i | −0.144152 | + | 0.537982i | 0.855640 | + | 0.517572i | \(0.173164\pi\) |
−0.999792 | + | 0.0204101i | \(0.993503\pi\) | |||||||
\(678\) | 70.7983 | − | 58.1393i | 0.104422 | − | 0.0857511i | ||||
\(679\) | −298.711 | + | 287.582i | −0.439927 | + | 0.423537i | ||||
\(680\) | 172.027 | − | 159.536i | 0.252981 | − | 0.234611i | ||||
\(681\) | 82.6018 | + | 182.156i | 0.121295 | + | 0.267484i | ||||
\(682\) | −183.333 | − | 684.210i | −0.268817 | − | 1.00324i | ||||
\(683\) | −197.306 | + | 52.8679i | −0.288881 | + | 0.0774054i | −0.400349 | − | 0.916363i | \(-0.631111\pi\) |
0.111469 | + | 0.993768i | \(0.464445\pi\) | |||||||
\(684\) | 12.1271 | + | 35.6528i | 0.0177296 | + | 0.0521240i | ||||
\(685\) | −187.945 | − | 7.08069i | −0.274373 | − | 0.0103368i | ||||
\(686\) | 460.643 | + | 152.007i | 0.671491 | + | 0.221584i | ||||
\(687\) | −102.194 | + | 83.9212i | −0.148754 | + | 0.122156i | ||||
\(688\) | −177.427 | − | 47.5414i | −0.257888 | − | 0.0691008i | ||||
\(689\) | −130.058 | − | 75.0889i | −0.188763 | − | 0.108982i | ||||
\(690\) | −170.866 | + | 220.559i | −0.247632 | + | 0.319650i | ||||
\(691\) | −30.3995 | + | 17.5512i | −0.0439935 | + | 0.0253996i | −0.521835 | − | 0.853046i | \(-0.674752\pi\) |
0.477842 | + | 0.878446i | \(0.341419\pi\) | |||||||
\(692\) | 172.374 | + | 172.374i | 0.249095 | + | 0.249095i | ||||
\(693\) | 661.067 | + | 144.160i | 0.953921 | + | 0.208024i | ||||
\(694\) | 101.859i | 0.146771i | ||||||||
\(695\) | 247.744 | − | 802.436i | 0.356466 | − | 1.15458i | ||||
\(696\) | 108.040 | − | 150.868i | 0.155230 | − | 0.216764i | ||||
\(697\) | −669.759 | + | 179.461i | −0.960917 | + | 0.257477i | ||||
\(698\) | −352.280 | − | 94.3933i | −0.504700 | − | 0.135234i | ||||
\(699\) | 91.2662 | + | 8.96047i | 0.130567 | + | 0.0128190i | ||||
\(700\) | −145.684 | − | 318.239i | −0.208120 | − | 0.454627i | ||||
\(701\) | − | 1035.40i | − | 1.47703i | −0.674238 | − | 0.738514i | \(-0.735528\pi\) | ||
0.674238 | − | 0.738514i | \(-0.264472\pi\) | |||||||
\(702\) | 93.5406 | − | 150.737i | 0.133249 | − | 0.214725i | ||||
\(703\) | 85.2980 | − | 22.8555i | 0.121334 | − | 0.0325114i | ||||
\(704\) | 42.9589 | − | 74.4070i | 0.0610212 | − | 0.105692i | ||||
\(705\) | 404.673 | − | 964.334i | 0.574004 | − | 1.36785i | ||||
\(706\) | − | 184.293i | − | 0.261038i | ||||||
\(707\) | 672.192 | − | 1114.86i | 0.950767 | − | 1.57689i | ||||
\(708\) | 43.9911 | − | 36.1253i | 0.0621343 | − | 0.0510244i | ||||
\(709\) | −362.406 | + | 209.235i | −0.511151 | + | 0.295113i | −0.733307 | − | 0.679898i | \(-0.762024\pi\) |
0.222156 | + | 0.975011i | \(0.428691\pi\) | |||||||
\(710\) | 494.857 | + | 311.117i | 0.696982 | + | 0.438192i | ||||
\(711\) | 188.607 | − | 215.333i | 0.265270 | − | 0.302860i | ||||
\(712\) | −429.540 | − | 115.095i | −0.603287 | − | 0.161650i | ||||
\(713\) | 433.732 | − | 433.732i | 0.608320 | − | 0.608320i | ||||
\(714\) | −71.1684 | − | 487.527i | −0.0996756 | − | 0.682812i | ||||
\(715\) | 249.307 | + | 9.39246i | 0.348682 | + | 0.0131363i | ||||
\(716\) | −111.013 | + | 64.0933i | −0.155046 | + | 0.0895158i | ||||
\(717\) | −104.651 | − | 632.647i | −0.145957 | − | 0.882352i | ||||
\(718\) | 230.886 | + | 861.678i | 0.321568 | + | 1.20011i | ||||
\(719\) | 393.739 | − | 227.325i | 0.547621 | − | 0.316169i | −0.200541 | − | 0.979685i | \(-0.564270\pi\) |
0.748162 | + | 0.663516i | \(0.230937\pi\) | |||||||
\(720\) | −153.265 | + | 94.3920i | −0.212868 | + | 0.131100i | ||||
\(721\) | −147.054 | + | 509.902i | −0.203959 | + | 0.707214i | ||||
\(722\) | 356.623 | − | 356.623i | 0.493938 | − | 0.493938i | ||||
\(723\) | 77.5667 | − | 206.283i | 0.107285 | − | 0.285315i | ||||
\(724\) | 305.611 | − | 529.333i | 0.422114 | − | 0.731123i | ||||
\(725\) | −451.564 | − | 308.211i | −0.622847 | − | 0.425118i | ||||
\(726\) | −21.8627 | + | 9.91399i | −0.0301139 | + | 0.0136556i | ||||
\(727\) | −707.691 | + | 707.691i | −0.973441 | + | 0.973441i | −0.999656 | − | 0.0262157i | \(-0.991654\pi\) |
0.0262157 | + | 0.999656i | \(0.491654\pi\) | |||||||
\(728\) | 1.74572 | − | 91.9696i | 0.00239797 | − | 0.126332i | ||||
\(729\) | −403.886 | + | 606.891i | −0.554028 | + | 0.832498i | ||||
\(730\) | 192.338 | − | 622.978i | 0.263477 | − | 0.853394i | ||||
\(731\) | −380.916 | + | 659.766i | −0.521089 | + | 0.902552i | ||||
\(732\) | −114.194 | − | 690.338i | −0.156003 | − | 0.943085i | ||||
\(733\) | −216.868 | + | 809.364i | −0.295864 | + | 1.10418i | 0.644664 | + | 0.764466i | \(0.276997\pi\) |
−0.940529 | + | 0.339715i | \(0.889670\pi\) | |||||||
\(734\) | 226.936i | 0.309177i | ||||||||
\(735\) | −723.968 | − | 126.870i | −0.984990 | − | 0.172612i | ||||
\(736\) | 74.4002 | 0.101087 | ||||||||
\(737\) | 24.2298 | + | 6.49236i | 0.0328763 | + | 0.00880917i | ||||
\(738\) | 530.811 | − | 35.1206i | 0.719257 | − | 0.0475889i | ||||
\(739\) | 605.923 | + | 349.830i | 0.819923 | + | 0.473383i | 0.850390 | − | 0.526153i | \(-0.176366\pi\) |
−0.0304668 | + | 0.999536i | \(0.509699\pi\) | |||||||
\(740\) | 197.132 | + | 373.223i | 0.266394 | + | 0.504356i | ||||
\(741\) | 29.0210 | + | 2.84927i | 0.0391646 | + | 0.00384516i | ||||
\(742\) | 319.934 | + | 6.07283i | 0.431179 | + | 0.00818441i | ||||
\(743\) | −116.105 | − | 116.105i | −0.156265 | − | 0.156265i | 0.624644 | − | 0.780910i | \(-0.285244\pi\) |
−0.780910 | + | 0.624644i | \(0.785244\pi\) | |||||||
\(744\) | 360.409 | − | 163.434i | 0.484421 | − | 0.219669i | ||||
\(745\) | −1344.07 | + | 306.413i | −1.80413 | + | 0.411293i | ||||
\(746\) | −5.02976 | − | 2.90393i | −0.00674231 | − | 0.00389267i | ||||
\(747\) | 208.495 | − | 423.445i | 0.279110 | − | 0.566861i | ||||
\(748\) | −251.972 | − | 251.972i | −0.336861 | − | 0.336861i | ||||
\(749\) | −890.003 | − | 256.675i | −1.18825 | − | 0.342690i | ||||
\(750\) | 288.217 | + | 445.175i | 0.384290 | + | 0.593567i | ||||
\(751\) | −533.815 | − | 924.595i | −0.710806 | − | 1.23115i | −0.964555 | − | 0.263882i | \(-0.914997\pi\) |
0.253749 | − | 0.967270i | \(-0.418336\pi\) | |||||||
\(752\) | −269.378 | + | 72.1796i | −0.358215 | + | 0.0959835i | ||||
\(753\) | −115.069 | − | 695.625i | −0.152814 | − | 0.923805i | ||||
\(754\) | −71.8441 | − | 124.438i | −0.0952839 | − | 0.165037i | ||||
\(755\) | 411.465 | + | 443.682i | 0.544987 | + | 0.587659i | ||||
\(756\) | −19.1856 | + | 377.513i | −0.0253777 | + | 0.499356i | ||||
\(757\) | 549.837 | + | 549.837i | 0.726336 | + | 0.726336i | 0.969888 | − | 0.243552i | \(-0.0783125\pi\) |
−0.243552 | + | 0.969888i | \(0.578313\pi\) | |||||||
\(758\) | 103.263 | − | 385.382i | 0.136230 | − | 0.508419i | ||||
\(759\) | 344.523 | + | 246.721i | 0.453918 | + | 0.325061i | ||||
\(760\) | −25.0485 | − | 15.7480i | −0.0329585 | − | 0.0207210i | ||||
\(761\) | 195.222 | + | 338.135i | 0.256534 | + | 0.444330i | 0.965311 | − | 0.261103i | \(-0.0840861\pi\) |
−0.708777 | + | 0.705433i | \(0.750753\pi\) | |||||||
\(762\) | −280.756 | + | 230.555i | −0.368446 | + | 0.302566i | ||||
\(763\) | 969.578 | + | 584.597i | 1.27074 | + | 0.766182i | ||||
\(764\) | −210.488 | −0.275508 | ||||||||
\(765\) | 213.627 | + | 715.327i | 0.279251 | + | 0.935068i | ||||
\(766\) | 666.426 | + | 384.761i | 0.870008 | + | 0.502299i | ||||
\(767\) | −11.4081 | − | 42.5757i | −0.0148737 | − | 0.0555093i | ||||
\(768\) | 44.9287 | + | 16.8941i | 0.0585009 | + | 0.0219976i | ||||
\(769\) | 895.914 | 1.16504 | 0.582519 | − | 0.812817i | \(-0.302067\pi\) | ||||
0.582519 | + | 0.812817i | \(0.302067\pi\) | |||||||
\(770\) | −474.677 | + | 239.309i | −0.616464 | + | 0.310791i | ||||
\(771\) | 1141.48 | + | 112.070i | 1.48052 | + | 0.145356i | ||||
\(772\) | −60.6545 | + | 226.366i | −0.0785680 | + | 0.293220i | ||||
\(773\) | −137.448 | − | 512.962i | −0.177811 | − | 0.663599i | −0.996056 | − | 0.0887292i | \(-0.971719\pi\) |
0.818245 | − | 0.574870i | \(-0.194947\pi\) | |||||||
\(774\) | 385.106 | − | 439.677i | 0.497553 | − | 0.568058i | ||||
\(775\) | −505.344 | − | 1050.74i | −0.652057 | − | 1.35579i | ||||
\(776\) | −167.542 | −0.215905 | ||||||||
\(777\) | 880.337 | + | 103.334i | 1.13299 | + | 0.132991i | ||||
\(778\) | −44.3169 | + | 44.3169i | −0.0569626 | + | 0.0569626i | ||||
\(779\) | 43.7215 | + | 75.7279i | 0.0561252 | + | 0.0972117i | ||||
\(780\) | 17.5538 | + | 138.270i | 0.0225049 | + | 0.177270i | ||||
\(781\) | 443.901 | − | 768.860i | 0.568376 | − | 0.984456i | ||||
\(782\) | 79.8645 | − | 298.059i | 0.102129 | − | 0.381149i | ||||
\(783\) | 278.823 | + | 520.480i | 0.356096 | + | 0.664726i | ||||
\(784\) | 91.4879 | + | 173.338i | 0.116694 | + | 0.221094i | ||||
\(785\) | −450.669 | − | 16.9786i | −0.574100 | − | 0.0216288i | ||||
\(786\) | −660.841 | + | 299.669i | −0.840765 | + | 0.381259i | ||||
\(787\) | −81.7205 | − | 304.985i | −0.103838 | − | 0.387529i | 0.894373 | − | 0.447322i | \(-0.147622\pi\) |
−0.998211 | + | 0.0597938i | \(0.980956\pi\) | |||||||
\(788\) | −620.872 | + | 166.362i | −0.787908 | + | 0.211119i | ||||
\(789\) | 378.338 | + | 834.323i | 0.479515 | + | 1.05744i | ||||
\(790\) | −8.46700 | + | 224.742i | −0.0107177 | + | 0.284484i | ||||
\(791\) | 104.832 | + | 108.889i | 0.132531 | + | 0.137659i | ||||
\(792\) | 152.027 | + | 227.221i | 0.191954 | + | 0.286895i | ||||
\(793\) | −523.355 | − | 140.232i | −0.659968 | − | 0.176838i | ||||
\(794\) | 346.548 | + | 200.080i | 0.436459 | + | 0.251990i | ||||
\(795\) | −481.001 | + | 61.0643i | −0.605032 | + | 0.0768104i | ||||
\(796\) | −186.200 | + | 107.503i | −0.233920 | + | 0.135054i | ||||
\(797\) | −606.894 | − | 606.894i | −0.761473 | − | 0.761473i | 0.215115 | − | 0.976589i | \(-0.430987\pi\) |
−0.976589 | + | 0.215115i | \(0.930987\pi\) | |||||||
\(798\) | −57.0644 | + | 24.5820i | −0.0715093 | + | 0.0308046i | ||||
\(799\) | 1156.65i | 1.44762i | ||||||||
\(800\) | 46.7770 | − | 133.461i | 0.0584712 | − | 0.166827i | ||||
\(801\) | 932.320 | − | 1064.43i | 1.16394 | − | 1.32888i | ||||
\(802\) | 567.411 | − | 152.037i | 0.707494 | − | 0.189573i | ||||
\(803\) | −956.523 | − | 256.300i | −1.19119 | − | 0.319177i | ||||
\(804\) | −1.36931 | + | 13.9470i | −0.00170312 | + | 0.0173470i | ||||
\(805\) | −384.988 | − | 252.361i | −0.478246 | − | 0.313492i | ||||
\(806\) | − | 306.430i | − | 0.380187i | ||||||
\(807\) | −186.824 | + | 496.844i | −0.231504 | + | 0.615668i | ||||
\(808\) | 508.094 | − | 136.143i | 0.628829 | − | 0.168494i | ||||
\(809\) | −9.18442 | + | 15.9079i | −0.0113528 | + | 0.0196636i | −0.871646 | − | 0.490136i | \(-0.836947\pi\) |
0.860293 | + | 0.509800i | \(0.170280\pi\) | |||||||
\(810\) | −54.0330 | − | 570.202i | −0.0667074 | − | 0.703953i | ||||
\(811\) | − | 560.626i | − | 0.691277i | −0.938368 | − | 0.345639i | \(-0.887662\pi\) | ||
0.938368 | − | 0.345639i | \(-0.112338\pi\) | |||||||
\(812\) | 262.193 | + | 158.086i | 0.322898 | + | 0.194688i | ||||
\(813\) | 734.513 | + | 894.443i | 0.903460 | + | 1.10018i | ||||
\(814\) | 555.188 | − | 320.538i | 0.682049 | − | 0.393781i | ||||
\(815\) | −166.016 | + | 264.062i | −0.203700 | + | 0.324003i | ||||
\(816\) | 115.909 | − | 161.856i | 0.142045 | − | 0.198353i | ||||
\(817\) | 92.8012 | + | 24.8660i | 0.113588 | + | 0.0304358i | ||||
\(818\) | 514.679 | − | 514.679i | 0.629192 | − | 0.629192i | ||||
\(819\) | 260.092 | + | 134.255i | 0.317573 | + | 0.163926i | ||||
\(820\) | −306.457 | + | 284.204i | −0.373728 | + | 0.346590i | ||||
\(821\) | 32.1227 | − | 18.5461i | 0.0391263 | − | 0.0225896i | −0.480309 | − | 0.877099i | \(-0.659476\pi\) |
0.519436 | + | 0.854510i | \(0.326142\pi\) | |||||||
\(822\) | −157.450 | + | 26.0451i | −0.191546 | + | 0.0316851i | ||||
\(823\) | −252.975 | − | 944.115i | −0.307381 | − | 1.14716i | −0.930876 | − | 0.365335i | \(-0.880954\pi\) |
0.623494 | − | 0.781828i | \(-0.285712\pi\) | |||||||
\(824\) | −185.700 | + | 107.214i | −0.225365 | + | 0.130114i | ||||
\(825\) | 659.184 | − | 462.897i | 0.799011 | − | 0.561088i | ||||
\(826\) | 65.1381 | + | 67.6588i | 0.0788597 | + | 0.0819113i | ||||
\(827\) | −193.270 | + | 193.270i | −0.233700 | + | 0.233700i | −0.814235 | − | 0.580535i | \(-0.802843\pi\) |
0.580535 | + | 0.814235i | \(0.302843\pi\) | |||||||
\(828\) | −104.576 | + | 212.390i | −0.126300 | + | 0.256510i | ||||
\(829\) | −60.6831 | + | 105.106i | −0.0732004 | + | 0.126787i | −0.900302 | − | 0.435265i | \(-0.856655\pi\) |
0.827102 | + | 0.562052i | \(0.189988\pi\) | |||||||
\(830\) | 82.4250 | + | 361.555i | 0.0993073 | + | 0.435609i | ||||
\(831\) | 572.557 | + | 1262.62i | 0.688998 | + | 1.51940i | ||||
\(832\) | 26.2818 | − | 26.2818i | 0.0315887 | − | 0.0315887i | ||||
\(833\) | 792.624 | − | 180.446i | 0.951530 | − | 0.216621i | ||||
\(834\) | 69.6281 | − | 709.192i | 0.0834870 | − | 0.850351i | ||||
\(835\) | 32.7461 | − | 17.2961i | 0.0392169 | − | 0.0207139i | ||||
\(836\) | −22.4692 | + | 38.9178i | −0.0268770 | + | 0.0465524i | ||||
\(837\) | −40.0340 | + | 1258.58i | −0.0478303 | + | 1.50368i | ||||
\(838\) | 6.64519 | − | 24.8002i | 0.00792982 | − | 0.0295945i | ||||
\(839\) | 815.151i | 0.971574i | 0.874077 | + | 0.485787i | \(0.161467\pi\) | ||||
−0.874077 | + | 0.485787i | \(0.838533\pi\) | |||||||
\(840\) | −175.182 | − | 239.815i | −0.208550 | − | 0.285494i | ||||
\(841\) | −362.753 | −0.431335 | ||||||||
\(842\) | −1016.95 | − | 272.492i | −1.20778 | − | 0.323625i | ||||
\(843\) | 298.825 | − | 49.4310i | 0.354478 | − | 0.0586370i | ||||
\(844\) | −515.347 | − | 297.536i | −0.610600 | − | 0.352530i | ||||
\(845\) | −704.271 | − | 217.437i | −0.833457 | − | 0.257322i | ||||
\(846\) | 172.584 | − | 870.448i | 0.204000 | − | 1.02890i | ||||
\(847\) | −19.1490 | − | 34.6703i | −0.0226080 | − | 0.0409331i | ||||
\(848\) | 91.4263 | + | 91.4263i | 0.107814 | + | 0.107814i | ||||
\(849\) | −476.883 | − | 1051.64i | −0.561700 | − | 1.23868i | ||||
\(850\) | −484.453 | − | 330.659i | −0.569945 | − | 0.389011i | ||||
\(851\) | 480.763 | + | 277.569i | 0.564939 | + | 0.326167i | ||||
\(852\) | 464.255 | + | 174.570i | 0.544901 | + | 0.204894i | ||||
\(853\) | −827.157 | − | 827.157i | −0.969703 | − | 0.969703i | 0.0298515 | − | 0.999554i | \(-0.490497\pi\) |
−0.999554 | + | 0.0298515i | \(0.990497\pi\) | |||||||
\(854\) | 1120.61 | − | 277.584i | 1.31219 | − | 0.325040i | ||||
\(855\) | 80.1636 | − | 49.3707i | 0.0937586 | − | 0.0577435i | ||||
\(856\) | −187.136 | − | 324.129i | −0.218617 | − | 0.378655i | ||||
\(857\) | 342.201 | − | 91.6926i | 0.399301 | − | 0.106992i | −0.0535793 | − | 0.998564i | \(-0.517063\pi\) |
0.452881 | + | 0.891571i | \(0.350396\pi\) | |||||||
\(858\) | 208.856 | − | 34.5486i | 0.243422 | − | 0.0402664i | ||||
\(859\) | 86.7458 | + | 150.248i | 0.100985 | + | 0.174911i | 0.912091 | − | 0.409989i | \(-0.134467\pi\) |
−0.811106 | + | 0.584899i | \(0.801134\pi\) | |||||||
\(860\) | −17.2883 | + | 458.889i | −0.0201027 | + | 0.533592i | ||||
\(861\) | 126.783 | + | 868.504i | 0.147250 | + | 1.00872i | ||||
\(862\) | 289.357 | + | 289.357i | 0.335681 | + | 0.335681i | ||||
\(863\) | 125.039 | − | 466.653i | 0.144889 | − | 0.540733i | −0.854871 | − | 0.518840i | \(-0.826364\pi\) |
0.999760 | − | 0.0218929i | \(-0.00696930\pi\) | |||||||
\(864\) | −111.379 | + | 104.512i | −0.128911 | + | 0.120963i | ||||
\(865\) | 324.370 | − | 515.938i | 0.374994 | − | 0.596461i | ||||
\(866\) | 71.7806 | + | 124.328i | 0.0828875 | + | 0.143565i | ||||
\(867\) | 26.2273 | + | 31.9380i | 0.0302507 | + | 0.0368373i | ||||
\(868\) | 315.674 | + | 571.546i | 0.363680 | + | 0.658463i | ||||
\(869\) | 341.587 | 0.393081 | ||||||||
\(870\) | −427.770 | − | 179.509i | −0.491690 | − | 0.206333i | ||||
\(871\) | 9.39774 | + | 5.42579i | 0.0107896 | + | 0.00622938i | ||||
\(872\) | 118.402 | + | 441.882i | 0.135782 | + | 0.506746i | ||||
\(873\) | 235.496 | − | 478.283i | 0.269755 | − | 0.547861i | ||||
\(874\) | −38.9143 | −0.0445243 | ||||||||
\(875\) | −694.742 | + | 531.938i | −0.793991 | + | 0.607929i | ||||
\(876\) | 54.0564 | − | 550.587i | 0.0617082 | − | 0.628524i | ||||
\(877\) | −46.1703 | + | 172.310i | −0.0526457 | + | 0.196476i | −0.987240 | − | 0.159239i | \(-0.949096\pi\) |
0.934594 | + | 0.355715i | \(0.115763\pi\) | |||||||
\(878\) | −283.927 | − | 1059.63i | −0.323380 | − | 1.20687i | ||||
\(879\) | −894.259 | − | 640.399i | −1.01736 | − | 0.728554i | ||||
\(880\) | −205.236 | − | 63.3645i | −0.233222 | − | 0.0720051i | ||||
\(881\) | −254.392 | −0.288754 | −0.144377 | − | 0.989523i | \(-0.546118\pi\) | ||||
−0.144377 | + | 0.989523i | \(0.546118\pi\) | |||||||
\(882\) | −623.422 | + | 17.5286i | −0.706827 | + | 0.0198737i | ||||
\(883\) | −565.378 | + | 565.378i | −0.640292 | + | 0.640292i | −0.950627 | − | 0.310335i | \(-0.899559\pi\) |
0.310335 | + | 0.950627i | \(0.399559\pi\) | |||||||
\(884\) | −77.0767 | − | 133.501i | −0.0871909 | − | 0.151019i | ||||
\(885\) | −112.499 | − | 87.1525i | −0.127117 | − | 0.0984775i | ||||
\(886\) | −262.189 | + | 454.125i | −0.295924 | + | 0.512556i | ||||
\(887\) | −217.132 | + | 810.348i | −0.244794 | + | 0.913583i | 0.728693 | + | 0.684840i | \(0.240128\pi\) |
−0.973487 | + | 0.228743i | \(0.926539\pi\) | |||||||
\(888\) | 227.295 | + | 276.785i | 0.255962 | + | 0.311695i | ||||
\(889\) | −415.718 | − | 431.806i | −0.467625 | − | 0.485721i | ||||
\(890\) | −41.8540 | + | 1110.94i | −0.0470269 | + | 1.24825i | ||||
\(891\) | −862.335 | + | 114.613i | −0.967828 | + | 0.128634i | ||||
\(892\) | −142.037 | − | 530.090i | −0.159235 | − | 0.594272i | ||||
\(893\) | 140.895 | − | 37.7527i | 0.157777 | − | 0.0422763i | ||||
\(894\) | −1065.33 | + | 483.091i | −1.19164 | + | 0.540371i | ||||
\(895\) | 217.912 | + | 234.975i | 0.243478 | + | 0.262541i | ||||
\(896\) | −21.9455 | + | 76.0946i | −0.0244928 | + | 0.0849271i | ||||
\(897\) | 116.338 | + | 141.669i | 0.129697 | + | 0.157937i | ||||
\(898\) | −1062.10 | − | 284.589i | −1.18274 | − | 0.316914i | ||||
\(899\) | 883.271 | + | 509.957i | 0.982503 | + | 0.567249i | ||||
\(900\) | 315.243 | + | 321.126i | 0.350270 | + | 0.356807i | ||||
\(901\) | 464.409 | − | 268.126i | 0.515437 | − | 0.297588i | ||||
\(902\) | 448.874 | + | 448.874i | 0.497643 | + | 0.497643i | ||||
\(903\) | 773.246 | + | 576.249i | 0.856307 | + | 0.638149i | ||||
\(904\) | 61.0740i | 0.0675597i | ||||||||
\(905\) | −1460.05 | − | 450.776i | −1.61332 | − | 0.498095i | ||||
\(906\) | 417.451 | + | 298.946i | 0.460762 | + | 0.329962i | ||||
\(907\) | −1339.66 | + | 358.961i | −1.47702 | + | 0.395767i | −0.905333 | − | 0.424702i | \(-0.860379\pi\) |
−0.571690 | + | 0.820470i | \(0.693712\pi\) | |||||||
\(908\) | −128.797 | − | 34.5109i | −0.141846 | − | 0.0380076i | ||||
\(909\) | −325.523 | + | 1641.82i | −0.358112 | + | 1.80618i | ||||
\(910\) | −225.143 | + | 46.8503i | −0.247409 | + | 0.0514839i | ||||
\(911\) | 794.365i | 0.871970i | 0.899954 | + | 0.435985i | \(0.143600\pi\) | ||||
−0.899954 | + | 0.435985i | \(0.856400\pi\) | |||||||
\(912\) | −23.4995 | − | 8.83629i | −0.0257670 | − | 0.00968892i | ||||
\(913\) | 544.037 | − | 145.774i | 0.595879 | − | 0.159665i | ||||
\(914\) | −535.139 | + | 926.888i | −0.585491 | + | 1.01410i | ||||
\(915\) | −1619.22 | + | 661.950i | −1.76964 | + | 0.723442i | ||||
\(916\) | − | 88.1573i | − | 0.0962416i | ||||||
\(917\) | −578.815 | − | 1047.98i | −0.631205 | − | 1.14283i | ||||
\(918\) | 299.131 | + | 558.389i | 0.325850 | + | 0.608267i | ||||
\(919\) | 355.766 | − | 205.401i | 0.387123 | − | 0.223505i | −0.293790 | − | 0.955870i | \(-0.594917\pi\) |
0.680913 | + | 0.732365i | \(0.261583\pi\) | |||||||
\(920\) | −41.3425 | − | 181.348i | −0.0449375 | − | 0.197117i | ||||
\(921\) | −517.483 | − | 370.581i | −0.561871 | − | 0.402369i | ||||
\(922\) | −273.170 | − | 73.1956i | −0.296279 | − | 0.0793878i | ||||
\(923\) | 271.574 | − | 271.574i | 0.294229 | − | 0.294229i | ||||
\(924\) | −353.962 | + | 279.596i | −0.383076 | + | 0.302593i | ||||
\(925\) | 800.176 | − | 687.893i | 0.865055 | − | 0.743668i | ||||
\(926\) | 879.951 | − | 508.040i | 0.950271 | − | 0.548639i | ||||
\(927\) | −45.0457 | − | 680.818i | −0.0485930 | − | 0.734432i | ||||
\(928\) | 32.0182 | + | 119.494i | 0.0345024 | + | 0.128765i | ||||
\(929\) | −665.093 | + | 383.992i | −0.715924 | + | 0.413339i | −0.813251 | − | 0.581914i | \(-0.802304\pi\) |
0.0973266 | + | 0.995252i | \(0.468971\pi\) | |||||||
\(930\) | −598.634 | − | 787.668i | −0.643693 | − | 0.846955i | ||||
\(931\) | −47.8517 | − | 90.6625i | −0.0513982 | − | 0.0973818i | ||||
\(932\) | −43.2302 | + | 43.2302i | −0.0463843 | + | 0.0463843i | ||||
\(933\) | −167.591 | − | 63.0175i | −0.179626 | − | 0.0675429i | ||||
\(934\) | 183.912 | − | 318.545i | 0.196908 | − | 0.341055i | ||||
\(935\) | −474.157 | + | 754.187i | −0.507120 | + | 0.806617i | ||||
\(936\) | 38.0852 | + | 111.968i | 0.0406893 | + | 0.119624i | ||||
\(937\) | 756.171 | − | 756.171i | 0.807013 | − | 0.807013i | −0.177168 | − | 0.984181i | \(-0.556694\pi\) |
0.984181 | + | 0.177168i | \(0.0566935\pi\) | |||||||
\(938\) | −23.1179 | − | 0.438812i | −0.0246459 | − | 0.000467816i | ||||
\(939\) | −378.917 | − | 37.2019i | −0.403532 | − | 0.0396186i | ||||
\(940\) | 325.622 | + | 616.490i | 0.346406 | + | 0.655840i | ||||
\(941\) | −682.797 | + | 1182.64i | −0.725608 | + | 1.25679i | 0.233115 | + | 0.972449i | \(0.425108\pi\) |
−0.958723 | + | 0.284341i | \(0.908225\pi\) | |||||||
\(942\) | −377.546 | + | 62.4529i | −0.400792 | + | 0.0662982i | ||||
\(943\) | −142.274 | + | 530.975i | −0.150874 | + | 0.563070i | ||||
\(944\) | 37.9488i | 0.0402000i | ||||||||
\(945\) | 930.834 | − | 163.011i | 0.985010 | − | 0.172499i | ||||
\(946\) | 697.468 | 0.737281 | ||||||||
\(947\) | −960.355 | − | 257.326i | −1.01410 | − | 0.271728i | −0.286760 | − | 0.958002i | \(-0.592578\pi\) |
−0.727343 | + | 0.686274i | \(0.759245\pi\) | |||||||
\(948\) | 31.1444 | + | 188.277i | 0.0328528 | + | 0.198604i | ||||
\(949\) | −370.995 | − | 214.194i | −0.390933 | − | 0.225705i | ||||
\(950\) | −24.4662 | + | 69.8055i | −0.0257539 | + | 0.0734795i | ||||
\(951\) | 82.0174 | − | 835.382i | 0.0862433 | − | 0.878425i | ||||
\(952\) | 281.289 | + | 169.600i | 0.295472 | + | 0.178152i | ||||
\(953\) | −229.383 | − | 229.383i | −0.240696 | − | 0.240696i | 0.576442 | − | 0.817138i | \(-0.304441\pi\) |
−0.817138 | + | 0.576442i | \(0.804441\pi\) | |||||||
\(954\) | −389.503 | + | 132.487i | −0.408284 | + | 0.138875i | ||||
\(955\) | 116.963 | + | 513.056i | 0.122475 | + | 0.537232i | ||||
\(956\) | 370.222 | + | 213.748i | 0.387262 | + | 0.223586i | ||||
\(957\) | −247.991 | + | 659.513i | −0.259133 | + | 0.689146i | ||||
\(958\) | −645.692 | − | 645.692i | −0.674000 | − | 0.674000i | ||||
\(959\) | −63.3106 | − | 255.586i | −0.0660173 | − | 0.266513i | ||||
\(960\) | 16.2129 | − | 118.900i | 0.0168885 | − | 0.123854i | ||||
\(961\) | 607.037 | + | 1051.42i | 0.631672 | + | 1.09409i | ||||
\(962\) | 267.879 | − | 71.7781i | 0.278461 | − | 0.0746134i | ||||
\(963\) | 1188.33 | − | 78.6246i | 1.23399 | − | 0.0816454i | ||||
\(964\) | 73.4615 | + | 127.239i | 0.0762049 | + | 0.131991i | ||||
\(965\) | 585.462 | + | 22.0568i | 0.606696 | + | 0.0228568i | ||||
\(966\) | −362.934 | − | 144.390i | −0.375708 | − | 0.149472i | ||||
\(967\) | 44.7702 | + | 44.7702i | 0.0462980 | + | 0.0462980i | 0.729877 | − | 0.683579i | \(-0.239577\pi\) |
−0.683579 | + | 0.729877i | \(0.739577\pi\) | |||||||
\(968\) | 4.14205 | − | 15.4583i | 0.00427898 | − | 0.0159694i | ||||
\(969\) | −60.6249 | + | 84.6572i | −0.0625644 | + | 0.0873655i | ||||
\(970\) | 93.0994 | + | 408.378i | 0.0959788 | + | 0.421008i | ||||
\(971\) | 318.939 | + | 552.418i | 0.328464 | + | 0.568917i | 0.982207 | − | 0.187800i | \(-0.0601356\pi\) |
−0.653743 | + | 0.756717i | \(0.726802\pi\) | |||||||
\(972\) | −141.797 | − | 464.855i | −0.145881 | − | 0.478245i | ||||
\(973\) | 1175.52 | + | 22.3132i | 1.20814 | + | 0.0229323i | ||||
\(974\) | −766.285 | −0.786740 | ||||||||
\(975\) | 327.275 | − | 119.620i | 0.335666 | − | 0.122688i | ||||
\(976\) | 403.983 | + | 233.240i | 0.413917 | + | 0.238975i | ||||
\(977\) | 71.7140 | + | 267.640i | 0.0734022 | + | 0.273941i | 0.992866 | − | 0.119233i | \(-0.0380436\pi\) |
−0.919464 | + | 0.393174i | \(0.871377\pi\) | |||||||
\(978\) | −93.1527 | + | 247.733i | −0.0952481 | + | 0.253306i | ||||
\(979\) | 1688.53 | 1.72475 | ||||||||
\(980\) | 371.667 | − | 319.318i | 0.379252 | − | 0.325835i | ||||
\(981\) | −1427.87 | − | 283.103i | −1.45552 | − | 0.288586i | ||||
\(982\) | −242.893 | + | 906.489i | −0.247345 | + | 0.923105i | ||||
\(983\) | 190.845 | + | 712.244i | 0.194146 | + | 0.724562i | 0.992486 | + | 0.122355i | \(0.0390448\pi\) |
−0.798341 | + | 0.602206i | \(0.794289\pi\) | |||||||
\(984\) | −206.485 | + | 288.338i | −0.209843 | + | 0.293027i | ||||
\(985\) | 750.506 | + | 1420.91i | 0.761935 | + | 1.44255i | ||||
\(986\) | 513.079 | 0.520364 | ||||||||
\(987\) | 1454.14 | + | 170.686i | 1.47329 | + | 0.172935i | ||||
\(988\) | −13.7464 | + | 13.7464i | −0.0139134 | + | 0.0139134i | ||||
\(989\) | 301.985 | + | 523.053i | 0.305343 | + | 0.528870i | ||||
\(990\) | 469.364 | − | 496.822i | 0.474105 | − | 0.501840i | ||||
\(991\) | −74.5477 | + | 129.120i | −0.0752248 | + | 0.130293i | −0.901184 | − | 0.433437i | \(-0.857301\pi\) |
0.825959 | + | 0.563730i | \(0.190634\pi\) | |||||||
\(992\) | −68.2823 | + | 254.833i | −0.0688330 | + | 0.256888i | ||||
\(993\) | 346.775 | − | 284.770i | 0.349219 | − | 0.286777i | ||||
\(994\) | −226.766 | + | 786.298i | −0.228135 | + | 0.791044i | ||||
\(995\) | 365.501 | + | 394.119i | 0.367337 | + | 0.396099i | ||||
\(996\) | 129.951 | + | 286.573i | 0.130473 | + | 0.287724i | ||||
\(997\) | −220.477 | − | 822.830i | −0.221140 | − | 0.825306i | −0.983914 | − | 0.178641i | \(-0.942830\pi\) |
0.762774 | − | 0.646665i | \(-0.223837\pi\) | |||||||
\(998\) | 997.195 | − | 267.198i | 0.999193 | − | 0.267733i | ||||
\(999\) | −1109.62 | + | 259.812i | −1.11073 | + | 0.260072i |
(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 | 210.3.w.b.17.8 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.a.17.11 | ✓ | 64 | ||
5.3 | odd | 4 | 210.3.w.a.143.16 | yes | 64 | ||
7.5 | odd | 6 | inner | 210.3.w.b.47.3 | yes | 64 | |
15.8 | even | 4 | inner | 210.3.w.b.143.3 | yes | 64 | |
21.5 | even | 6 | 210.3.w.a.47.16 | yes | 64 | ||
35.33 | even | 12 | 210.3.w.a.173.11 | yes | 64 | ||
105.68 | odd | 12 | inner | 210.3.w.b.173.8 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.11 | ✓ | 64 | 3.2 | odd | 2 | ||
210.3.w.a.47.16 | yes | 64 | 21.5 | even | 6 | ||
210.3.w.a.143.16 | yes | 64 | 5.3 | odd | 4 | ||
210.3.w.a.173.11 | yes | 64 | 35.33 | even | 12 | ||
210.3.w.b.17.8 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.b.47.3 | yes | 64 | 7.5 | odd | 6 | inner | |
210.3.w.b.143.3 | yes | 64 | 15.8 | even | 4 | inner | |
210.3.w.b.173.8 | yes | 64 | 105.68 | odd | 12 | inner |