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 | 17.6 | ||
Character | \(\chi\) | \(=\) | 210.17 |
Dual form | 210.3.w.b.173.6 |
$q$-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 | ||||
\(3\) | −1.66769 | − | 2.49375i | −0.555896 | − | 0.831252i | ||||
\(4\) | 1.73205 | + | 1.00000i | 0.433013 | + | 0.250000i | ||||
\(5\) | 1.09236 | + | 4.87922i | 0.218472 | + | 0.975843i | ||||
\(6\) | −1.36533 | − | 4.01695i | −0.227555 | − | 0.669492i | ||||
\(7\) | −1.72310 | + | 6.78461i | −0.246158 | + | 0.969230i | ||||
\(8\) | 2.00000 | + | 2.00000i | 0.250000 | + | 0.250000i | ||||
\(9\) | −3.43763 | + | 8.31761i | −0.381959 | + | 0.924179i | ||||
\(10\) | −0.293729 | + | 7.06496i | −0.0293729 | + | 0.706496i | ||||
\(11\) | 5.25762 | + | 3.03549i | 0.477966 | + | 0.275954i | 0.719568 | − | 0.694422i | \(-0.244340\pi\) |
−0.241603 | + | 0.970375i | \(0.577673\pi\) | |||||||
\(12\) | −0.394767 | − | 5.98700i | −0.0328972 | − | 0.498917i | ||||
\(13\) | 4.95646 | + | 4.95646i | 0.381266 | + | 0.381266i | 0.871558 | − | 0.490292i | \(-0.163110\pi\) |
−0.490292 | + | 0.871558i | \(0.663110\pi\) | |||||||
\(14\) | −4.83714 | + | 8.63725i | −0.345510 | + | 0.616946i | ||||
\(15\) | 10.3459 | − | 10.8611i | 0.689724 | − | 0.724072i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | 24.7338 | − | 6.62741i | 1.45493 | − | 0.389847i | 0.557195 | − | 0.830382i | \(-0.311878\pi\) |
0.897736 | + | 0.440534i | \(0.145211\pi\) | |||||||
\(18\) | −7.74035 | + | 10.1038i | −0.430019 | + | 0.561323i | ||||
\(19\) | −8.47334 | − | 14.6763i | −0.445965 | − | 0.772435i | 0.552154 | − | 0.833742i | \(-0.313806\pi\) |
−0.998119 | + | 0.0613078i | \(0.980473\pi\) | |||||||
\(20\) | −2.98720 | + | 9.54341i | −0.149360 | + | 0.477170i | ||||
\(21\) | 19.7928 | − | 7.01762i | 0.942512 | − | 0.334172i | ||||
\(22\) | 6.07098 | + | 6.07098i | 0.275954 | + | 0.275954i | ||||
\(23\) | −7.44889 | + | 27.7996i | −0.323865 | + | 1.20868i | 0.591583 | + | 0.806244i | \(0.298503\pi\) |
−0.915448 | + | 0.402436i | \(0.868163\pi\) | |||||||
\(24\) | 1.65213 | − | 8.32289i | 0.0688388 | − | 0.346787i | ||||
\(25\) | −22.6135 | + | 10.6597i | −0.904540 | + | 0.426388i | ||||
\(26\) | 4.95646 | + | 8.58484i | 0.190633 | + | 0.330186i | ||||
\(27\) | 26.4750 | − | 5.29859i | 0.980555 | − | 0.196244i | ||||
\(28\) | −9.76911 | + | 10.0282i | −0.348897 | + | 0.358149i | ||||
\(29\) | 29.7644 | 1.02636 | 0.513179 | − | 0.858282i | \(-0.328468\pi\) | ||||
0.513179 | + | 0.858282i | \(0.328468\pi\) | |||||||
\(30\) | 18.1081 | − | 11.0497i | 0.603605 | − | 0.368322i | ||||
\(31\) | −36.5762 | − | 21.1173i | −1.17988 | − | 0.681203i | −0.223892 | − | 0.974614i | \(-0.571876\pi\) |
−0.955986 | + | 0.293411i | \(0.905210\pi\) | |||||||
\(32\) | 1.46410 | + | 5.46410i | 0.0457532 | + | 0.170753i | ||||
\(33\) | −1.19831 | − | 18.1735i | −0.0363124 | − | 0.550711i | ||||
\(34\) | 36.2128 | 1.06508 | ||||||||
\(35\) | −34.9858 | − | 0.996180i | −0.999595 | − | 0.0284623i | ||||
\(36\) | −14.2718 | + | 10.9689i | −0.396438 | + | 0.304692i | ||||
\(37\) | −12.4034 | + | 46.2903i | −0.335228 | + | 1.25109i | 0.568393 | + | 0.822757i | \(0.307565\pi\) |
−0.903621 | + | 0.428332i | \(0.859101\pi\) | |||||||
\(38\) | −6.20292 | − | 23.1496i | −0.163235 | − | 0.609200i | ||||
\(39\) | 4.09437 | − | 20.6260i | 0.104984 | − | 0.528873i | ||||
\(40\) | −7.57372 | + | 11.9431i | −0.189343 | + | 0.298579i | ||||
\(41\) | −2.99309 | −0.0730021 | −0.0365011 | − | 0.999334i | \(-0.511621\pi\) | ||||
−0.0365011 | + | 0.999334i | \(0.511621\pi\) | |||||||
\(42\) | 29.6060 | − | 2.34159i | 0.704905 | − | 0.0557522i | ||||
\(43\) | 22.2278 | − | 22.2278i | 0.516926 | − | 0.516926i | −0.399714 | − | 0.916640i | \(-0.630891\pi\) |
0.916640 | + | 0.399714i | \(0.130891\pi\) | |||||||
\(44\) | 6.07098 | + | 10.5152i | 0.137977 | + | 0.238983i | ||||
\(45\) | −44.3386 | − | 7.68712i | −0.985301 | − | 0.170825i | ||||
\(46\) | −20.3508 | + | 35.2485i | −0.442408 | + | 0.766273i | ||||
\(47\) | 16.3896 | − | 61.1668i | 0.348715 | − | 1.30142i | −0.539498 | − | 0.841987i | \(-0.681386\pi\) |
0.888212 | − | 0.459434i | \(-0.151948\pi\) | |||||||
\(48\) | 5.30324 | − | 10.7646i | 0.110484 | − | 0.224262i | ||||
\(49\) | −43.0618 | − | 23.3812i | −0.878813 | − | 0.477167i | ||||
\(50\) | −34.7923 | + | 6.28430i | −0.695847 | + | 0.125686i | ||||
\(51\) | −57.7754 | − | 50.6276i | −1.13285 | − | 0.992699i | ||||
\(52\) | 3.62838 | + | 13.5413i | 0.0697766 | + | 0.260410i | ||||
\(53\) | 1.70301 | − | 0.456319i | 0.0321322 | − | 0.00860980i | −0.242717 | − | 0.970097i | \(-0.578039\pi\) |
0.274849 | + | 0.961487i | \(0.411372\pi\) | |||||||
\(54\) | 38.1049 | + | 2.45251i | 0.705647 | + | 0.0454168i | ||||
\(55\) | −9.06761 | + | 28.9689i | −0.164866 | + | 0.526708i | ||||
\(56\) | −17.0154 | + | 10.1230i | −0.303847 | + | 0.180768i | ||||
\(57\) | −22.4681 | + | 45.6059i | −0.394177 | + | 0.800103i | ||||
\(58\) | 40.6589 | + | 10.8945i | 0.701015 | + | 0.187836i | ||||
\(59\) | −72.6479 | − | 41.9433i | −1.23132 | − | 0.710903i | −0.264015 | − | 0.964519i | \(-0.585047\pi\) |
−0.967305 | + | 0.253615i | \(0.918380\pi\) | |||||||
\(60\) | 28.7806 | − | 8.46610i | 0.479677 | − | 0.141102i | ||||
\(61\) | −18.0258 | + | 10.4072i | −0.295505 | + | 0.170610i | −0.640422 | − | 0.768023i | \(-0.721240\pi\) |
0.344917 | + | 0.938633i | \(0.387907\pi\) | |||||||
\(62\) | −42.2346 | − | 42.2346i | −0.681203 | − | 0.681203i | ||||
\(63\) | −50.5084 | − | 37.6551i | −0.801720 | − | 0.597700i | ||||
\(64\) | 8.00000i | 0.125000i | ||||||||
\(65\) | −18.7694 | + | 29.5979i | −0.288760 | + | 0.455352i | ||||
\(66\) | 5.01503 | − | 25.2640i | 0.0759853 | − | 0.382788i | ||||
\(67\) | 32.1572 | − | 8.61650i | 0.479958 | − | 0.128604i | −0.0107249 | − | 0.999942i | \(-0.503414\pi\) |
0.490683 | + | 0.871338i | \(0.336747\pi\) | |||||||
\(68\) | 49.4676 | + | 13.2548i | 0.727465 | + | 0.194924i | ||||
\(69\) | 81.7479 | − | 27.7854i | 1.18475 | − | 0.402688i | ||||
\(70\) | −47.4269 | − | 14.1665i | −0.677527 | − | 0.202379i | ||||
\(71\) | − | 10.6074i | − | 0.149400i | −0.997206 | − | 0.0747002i | \(-0.976200\pi\) | ||
0.997206 | − | 0.0747002i | \(-0.0238000\pi\) | |||||||
\(72\) | −23.5105 | + | 9.75997i | −0.326535 | + | 0.135555i | ||||
\(73\) | 94.5508 | − | 25.3348i | 1.29522 | − | 0.347052i | 0.455577 | − | 0.890197i | \(-0.349433\pi\) |
0.839639 | + | 0.543145i | \(0.182766\pi\) | |||||||
\(74\) | −33.8869 | + | 58.6937i | −0.457930 | + | 0.793159i | ||||
\(75\) | 64.2950 | + | 38.6155i | 0.857266 | + | 0.514873i | ||||
\(76\) | − | 33.8934i | − | 0.445965i | ||||||
\(77\) | −29.6540 | + | 30.4404i | −0.385117 | + | 0.395330i | ||||
\(78\) | 13.1427 | − | 26.6771i | 0.168496 | − | 0.342013i | ||||
\(79\) | 74.6747 | − | 43.1134i | 0.945249 | − | 0.545740i | 0.0536472 | − | 0.998560i | \(-0.482915\pi\) |
0.891602 | + | 0.452820i | \(0.149582\pi\) | |||||||
\(80\) | −14.7174 | + | 13.5425i | −0.183967 | + | 0.169281i | ||||
\(81\) | −57.3654 | − | 57.1857i | −0.708215 | − | 0.705997i | ||||
\(82\) | −4.08863 | − | 1.09555i | −0.0498614 | − | 0.0133603i | ||||
\(83\) | 47.0984 | − | 47.0984i | 0.567450 | − | 0.567450i | −0.363963 | − | 0.931413i | \(-0.618577\pi\) |
0.931413 | + | 0.363963i | \(0.118577\pi\) | |||||||
\(84\) | 41.2997 | + | 7.63788i | 0.491663 | + | 0.0909272i | ||||
\(85\) | 59.3547 | + | 113.442i | 0.698291 | + | 1.33461i | ||||
\(86\) | 38.4997 | − | 22.2278i | 0.447671 | − | 0.258463i | ||||
\(87\) | −49.6377 | − | 74.2250i | −0.570548 | − | 0.853161i | ||||
\(88\) | 4.44427 | + | 16.5862i | 0.0505030 | + | 0.188480i | ||||
\(89\) | 138.660 | − | 80.0552i | 1.55797 | − | 0.899496i | 0.560522 | − | 0.828139i | \(-0.310600\pi\) |
0.997451 | − | 0.0713568i | \(-0.0227329\pi\) | |||||||
\(90\) | −57.7539 | − | 26.7298i | −0.641710 | − | 0.296998i | ||||
\(91\) | −42.1682 | + | 25.0872i | −0.463386 | + | 0.275683i | ||||
\(92\) | −40.7015 | + | 40.7015i | −0.442408 | + | 0.442408i | ||||
\(93\) | 8.33641 | + | 126.429i | 0.0896388 | + | 1.35945i | ||||
\(94\) | 44.7772 | − | 77.5564i | 0.476353 | − | 0.825068i | ||||
\(95\) | 62.3527 | − | 57.3750i | 0.656344 | − | 0.603947i | ||||
\(96\) | 11.1845 | − | 12.7635i | 0.116505 | − | 0.132953i | ||||
\(97\) | −81.7792 | + | 81.7792i | −0.843085 | + | 0.843085i | −0.989259 | − | 0.146174i | \(-0.953304\pi\) |
0.146174 | + | 0.989259i | \(0.453304\pi\) | |||||||
\(98\) | −50.2654 | − | 47.7010i | −0.512913 | − | 0.486745i | ||||
\(99\) | −43.3218 | + | 33.2960i | −0.437594 | + | 0.336323i | ||||
\(100\) | −49.8274 | − | 4.15037i | −0.498274 | − | 0.0415037i | ||||
\(101\) | 12.5884 | − | 21.8038i | 0.124638 | − | 0.215879i | −0.796953 | − | 0.604041i | \(-0.793556\pi\) |
0.921591 | + | 0.388162i | \(0.126890\pi\) | |||||||
\(102\) | −60.3917 | − | 90.3059i | −0.592076 | − | 0.885352i | ||||
\(103\) | −37.8541 | + | 141.274i | −0.367516 | + | 1.37159i | 0.496462 | + | 0.868058i | \(0.334632\pi\) |
−0.863978 | + | 0.503529i | \(0.832035\pi\) | |||||||
\(104\) | 19.8258i | 0.190633i | ||||||||
\(105\) | 55.8612 | + | 88.9074i | 0.532012 | + | 0.846737i | ||||
\(106\) | 2.49337 | 0.0235224 | ||||||||
\(107\) | 79.1821 | + | 21.2168i | 0.740020 | + | 0.198288i | 0.609087 | − | 0.793104i | \(-0.291536\pi\) |
0.130933 | + | 0.991391i | \(0.458203\pi\) | |||||||
\(108\) | 51.1546 | + | 17.2976i | 0.473654 | + | 0.160163i | ||||
\(109\) | −14.2005 | − | 8.19866i | −0.130280 | − | 0.0752171i | 0.433444 | − | 0.901181i | \(-0.357298\pi\) |
−0.563723 | + | 0.825964i | \(0.690632\pi\) | |||||||
\(110\) | −22.9899 | + | 36.2533i | −0.208999 | + | 0.329575i | ||||
\(111\) | 136.122 | − | 46.2667i | 1.22632 | − | 0.416817i | ||||
\(112\) | −26.9488 | + | 7.60021i | −0.240614 | + | 0.0678590i | ||||
\(113\) | −115.892 | − | 115.892i | −1.02560 | − | 1.02560i | −0.999664 | − | 0.0259326i | \(-0.991744\pi\) |
−0.0259326 | − | 0.999664i | \(-0.508256\pi\) | |||||||
\(114\) | −47.3849 | + | 54.0749i | −0.415657 | + | 0.474341i | ||||
\(115\) | −143.777 | − | 5.97761i | −1.25024 | − | 0.0519792i | ||||
\(116\) | 51.5534 | + | 29.7644i | 0.444426 | + | 0.256589i | ||||
\(117\) | −58.2644 | + | 24.1875i | −0.497986 | + | 0.206731i | ||||
\(118\) | −83.8866 | − | 83.8866i | −0.710903 | − | 0.710903i | ||||
\(119\) | 2.34542 | + | 179.229i | 0.0197094 | + | 1.50613i | ||||
\(120\) | 42.4139 | − | 1.03046i | 0.353449 | − | 0.00858715i | ||||
\(121\) | −42.0716 | − | 72.8702i | −0.347699 | − | 0.602233i | ||||
\(122\) | −28.4330 | + | 7.61860i | −0.233057 | + | 0.0624475i | ||||
\(123\) | 4.99154 | + | 7.46403i | 0.0405816 | + | 0.0606831i | ||||
\(124\) | −42.2346 | − | 73.1525i | −0.340602 | − | 0.589939i | ||||
\(125\) | −76.7130 | − | 98.6920i | −0.613704 | − | 0.789536i | ||||
\(126\) | −55.2130 | − | 69.9251i | −0.438198 | − | 0.554961i | ||||
\(127\) | 30.6273 | + | 30.6273i | 0.241160 | + | 0.241160i | 0.817330 | − | 0.576170i | \(-0.195453\pi\) |
−0.576170 | + | 0.817330i | \(0.695453\pi\) | |||||||
\(128\) | −2.92820 | + | 10.9282i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | −92.4998 | − | 18.3616i | −0.717053 | − | 0.142338i | ||||
\(130\) | −36.4731 | + | 33.5614i | −0.280562 | + | 0.258164i | ||||
\(131\) | −55.8066 | − | 96.6599i | −0.426005 | − | 0.737862i | 0.570509 | − | 0.821291i | \(-0.306746\pi\) |
−0.996514 | + | 0.0834295i | \(0.973413\pi\) | |||||||
\(132\) | 16.0979 | − | 32.6757i | 0.121954 | − | 0.247543i | ||||
\(133\) | 114.173 | − | 32.1996i | 0.858444 | − | 0.242102i | ||||
\(134\) | 47.0814 | 0.351354 | ||||||||
\(135\) | 54.7731 | + | 123.389i | 0.405727 | + | 0.913994i | ||||
\(136\) | 62.7225 | + | 36.2128i | 0.461195 | + | 0.266271i | ||||
\(137\) | 34.9263 | + | 130.347i | 0.254936 | + | 0.951435i | 0.968126 | + | 0.250464i | \(0.0805832\pi\) |
−0.713190 | + | 0.700971i | \(0.752750\pi\) | |||||||
\(138\) | 121.840 | − | 8.03380i | 0.882898 | − | 0.0582160i | ||||
\(139\) | 94.2009 | 0.677704 | 0.338852 | − | 0.940840i | \(-0.389961\pi\) | ||||
0.338852 | + | 0.940840i | \(0.389961\pi\) | |||||||
\(140\) | −59.6010 | − | 36.7113i | −0.425722 | − | 0.262223i | ||||
\(141\) | −179.868 | + | 61.1355i | −1.27566 | + | 0.433585i | ||||
\(142\) | 3.88259 | − | 14.4900i | 0.0273422 | − | 0.102042i | ||||
\(143\) | 11.0139 | + | 41.1045i | 0.0770204 | + | 0.287444i | ||||
\(144\) | −35.6883 | + | 4.72694i | −0.247836 | + | 0.0328260i | ||||
\(145\) | 32.5133 | + | 145.227i | 0.224230 | + | 1.00156i | ||||
\(146\) | 138.432 | 0.948164 | ||||||||
\(147\) | 13.5068 | + | 146.378i | 0.0918830 | + | 0.995770i | ||||
\(148\) | −67.7737 | + | 67.7737i | −0.457930 | + | 0.457930i | ||||
\(149\) | 100.290 | + | 173.707i | 0.673085 | + | 1.16582i | 0.977025 | + | 0.213126i | \(0.0683646\pi\) |
−0.303939 | + | 0.952691i | \(0.598302\pi\) | |||||||
\(150\) | 73.6943 | + | 76.2833i | 0.491295 | + | 0.508556i | ||||
\(151\) | 132.934 | − | 230.249i | 0.880361 | − | 1.52483i | 0.0294207 | − | 0.999567i | \(-0.490634\pi\) |
0.850940 | − | 0.525263i | \(-0.176033\pi\) | |||||||
\(152\) | 12.4058 | − | 46.2992i | 0.0816173 | − | 0.304600i | ||||
\(153\) | −29.9014 | + | 228.509i | −0.195434 | + | 1.49352i | ||||
\(154\) | −51.6501 | + | 30.7283i | −0.335391 | + | 0.199534i | ||||
\(155\) | 63.0815 | − | 201.531i | 0.406978 | − | 1.30020i | ||||
\(156\) | 27.7177 | − | 31.6310i | 0.177677 | − | 0.202763i | ||||
\(157\) | 4.79975 | + | 17.9129i | 0.0305717 | + | 0.114095i | 0.979526 | − | 0.201320i | \(-0.0645230\pi\) |
−0.948954 | + | 0.315415i | \(0.897856\pi\) | |||||||
\(158\) | 117.788 | − | 31.5612i | 0.745494 | − | 0.199755i | ||||
\(159\) | −3.97803 | − | 3.48588i | −0.0250191 | − | 0.0219238i | ||||
\(160\) | −25.0612 | + | 13.1124i | −0.156633 | + | 0.0819526i | ||||
\(161\) | −175.775 | − | 98.4395i | −1.09177 | − | 0.611426i | ||||
\(162\) | −57.4312 | − | 99.1144i | −0.354514 | − | 0.611817i | ||||
\(163\) | −80.8800 | − | 21.6717i | −0.496196 | − | 0.132955i | 0.00203783 | − | 0.999998i | \(-0.499351\pi\) |
−0.498234 | + | 0.867043i | \(0.666018\pi\) | |||||||
\(164\) | −5.18418 | − | 2.99309i | −0.0316108 | − | 0.0182505i | ||||
\(165\) | 87.3633 | − | 25.6987i | 0.529475 | − | 0.155750i | ||||
\(166\) | 81.5768 | − | 47.0984i | 0.491427 | − | 0.283725i | ||||
\(167\) | 146.343 | + | 146.343i | 0.876304 | + | 0.876304i | 0.993150 | − | 0.116846i | \(-0.0372784\pi\) |
−0.116846 | + | 0.993150i | \(0.537278\pi\) | |||||||
\(168\) | 53.6207 | + | 25.5503i | 0.319171 | + | 0.152085i | ||||
\(169\) | − | 119.867i | − | 0.709272i | ||||||
\(170\) | 39.5574 | + | 176.690i | 0.232690 | + | 1.03935i | ||||
\(171\) | 151.200 | − | 20.0265i | 0.884208 | − | 0.117114i | ||||
\(172\) | 60.7275 | − | 16.2719i | 0.353067 | − | 0.0946040i | ||||
\(173\) | 239.295 | + | 64.1188i | 1.38321 | + | 0.370629i | 0.872285 | − | 0.488998i | \(-0.162638\pi\) |
0.510922 | + | 0.859627i | \(0.329304\pi\) | |||||||
\(174\) | −40.6381 | − | 119.562i | −0.233552 | − | 0.687138i | ||||
\(175\) | −33.3564 | − | 171.792i | −0.190608 | − | 0.981666i | ||||
\(176\) | 24.2839i | 0.137977i | ||||||||
\(177\) | 16.5578 | + | 251.114i | 0.0935470 | + | 1.41873i | ||||
\(178\) | 218.715 | − | 58.6044i | 1.22873 | − | 0.329238i | ||||
\(179\) | 20.0007 | − | 34.6423i | 0.111736 | − | 0.193532i | −0.804734 | − | 0.593635i | \(-0.797692\pi\) |
0.916470 | + | 0.400103i | \(0.131026\pi\) | |||||||
\(180\) | −69.1095 | − | 57.6530i | −0.383942 | − | 0.320295i | ||||
\(181\) | 210.145i | 1.16102i | 0.814253 | + | 0.580510i | \(0.197147\pi\) | ||||
−0.814253 | + | 0.580510i | \(0.802853\pi\) | |||||||
\(182\) | −66.7853 | + | 18.8351i | −0.366952 | + | 0.103489i | ||||
\(183\) | 56.0144 | + | 27.5959i | 0.306090 | + | 0.150798i | ||||
\(184\) | −70.4971 | + | 40.7015i | −0.383136 | + | 0.221204i | ||||
\(185\) | −239.409 | − | 9.95356i | −1.29410 | − | 0.0538030i | ||||
\(186\) | −34.8886 | + | 175.757i | −0.187573 | + | 0.944929i | ||||
\(187\) | 150.159 | + | 40.2349i | 0.802987 | + | 0.215160i | ||||
\(188\) | 89.5544 | − | 89.5544i | 0.476353 | − | 0.476353i | ||||
\(189\) | −9.67029 | + | 188.752i | −0.0511655 | + | 0.998690i | ||||
\(190\) | 106.176 | − | 55.5530i | 0.558822 | − | 0.292384i | ||||
\(191\) | −161.722 | + | 93.3702i | −0.846712 | + | 0.488849i | −0.859540 | − | 0.511068i | \(-0.829250\pi\) |
0.0128282 | + | 0.999918i | \(0.495917\pi\) | |||||||
\(192\) | 19.9500 | − | 13.3415i | 0.103906 | − | 0.0694870i | ||||
\(193\) | −45.3096 | − | 169.098i | −0.234765 | − | 0.876155i | −0.978255 | − | 0.207407i | \(-0.933497\pi\) |
0.743490 | − | 0.668747i | \(-0.233169\pi\) | |||||||
\(194\) | −141.646 | + | 81.7792i | −0.730133 | + | 0.421542i | ||||
\(195\) | 105.111 | − | 2.55371i | 0.539033 | − | 0.0130960i | ||||
\(196\) | −51.2041 | − | 83.5592i | −0.261245 | − | 0.426322i | ||||
\(197\) | −32.6753 | + | 32.6753i | −0.165865 | + | 0.165865i | −0.785159 | − | 0.619294i | \(-0.787419\pi\) |
0.619294 | + | 0.785159i | \(0.287419\pi\) | |||||||
\(198\) | −71.3658 | + | 29.6263i | −0.360433 | + | 0.149628i | ||||
\(199\) | 19.7740 | − | 34.2496i | 0.0993670 | − | 0.172109i | −0.812056 | − | 0.583580i | \(-0.801652\pi\) |
0.911423 | + | 0.411471i | \(0.134985\pi\) | |||||||
\(200\) | −66.5464 | − | 23.9076i | −0.332732 | − | 0.119538i | ||||
\(201\) | −75.1156 | − | 65.8225i | −0.373710 | − | 0.327475i | ||||
\(202\) | 25.1768 | − | 25.1768i | 0.124638 | − | 0.124638i | ||||
\(203\) | −51.2871 | + | 201.940i | −0.252646 | + | 0.994776i | ||||
\(204\) | −49.4424 | − | 145.465i | −0.242365 | − | 0.713064i | ||||
\(205\) | −3.26952 | − | 14.6039i | −0.0159489 | − | 0.0712386i | ||||
\(206\) | −103.419 | + | 179.128i | −0.502036 | + | 0.869552i | ||||
\(207\) | −205.620 | − | 157.522i | −0.993334 | − | 0.760975i | ||||
\(208\) | −7.25676 | + | 27.0826i | −0.0348883 | + | 0.130205i | ||||
\(209\) | − | 102.883i | − | 0.492263i | ||||||
\(210\) | 43.7655 | + | 141.896i | 0.208407 | + | 0.675697i | ||||
\(211\) | −145.662 | −0.690341 | −0.345170 | − | 0.938540i | \(-0.612179\pi\) | ||||
−0.345170 | + | 0.938540i | \(0.612179\pi\) | |||||||
\(212\) | 3.40601 | + | 0.912638i | 0.0160661 | + | 0.00430490i | ||||
\(213\) | −26.4523 | + | 17.6899i | −0.124189 | + | 0.0830511i | ||||
\(214\) | 100.399 | + | 57.9653i | 0.469154 | + | 0.270866i | ||||
\(215\) | 132.735 | + | 84.1736i | 0.617372 | + | 0.391505i | ||||
\(216\) | 63.5472 | + | 42.3528i | 0.294200 | + | 0.196078i | ||||
\(217\) | 206.297 | − | 211.768i | 0.950679 | − | 0.975890i | ||||
\(218\) | −16.3973 | − | 16.3973i | −0.0752171 | − | 0.0752171i | ||||
\(219\) | −220.860 | − | 193.536i | −1.00849 | − | 0.883725i | ||||
\(220\) | −44.6745 | + | 41.1080i | −0.203066 | + | 0.186855i | ||||
\(221\) | 155.441 | + | 89.7438i | 0.703352 | + | 0.406080i | ||||
\(222\) | 202.881 | − | 13.3774i | 0.913876 | − | 0.0602586i | ||||
\(223\) | −202.781 | − | 202.781i | −0.909331 | − | 0.909331i | 0.0868873 | − | 0.996218i | \(-0.472308\pi\) |
−0.996218 | + | 0.0868873i | \(0.972308\pi\) | |||||||
\(224\) | −39.5946 | + | 0.518140i | −0.176762 | + | 0.00231313i | ||||
\(225\) | −10.9264 | − | 224.735i | −0.0485619 | − | 0.998820i | ||||
\(226\) | −115.892 | − | 200.731i | −0.512798 | − | 0.888192i | ||||
\(227\) | 55.3013 | − | 14.8179i | 0.243618 | − | 0.0652773i | −0.134944 | − | 0.990853i | \(-0.543085\pi\) |
0.378562 | + | 0.925576i | \(0.376419\pi\) | |||||||
\(228\) | −84.5217 | + | 56.5236i | −0.370709 | + | 0.247910i | ||||
\(229\) | 33.1909 | + | 57.4883i | 0.144938 | + | 0.251041i | 0.929350 | − | 0.369200i | \(-0.120368\pi\) |
−0.784412 | + | 0.620241i | \(0.787035\pi\) | |||||||
\(230\) | −194.216 | − | 60.7917i | −0.844416 | − | 0.264312i | ||||
\(231\) | 125.365 | + | 23.1847i | 0.542704 | + | 0.100367i | ||||
\(232\) | 59.5287 | + | 59.5287i | 0.256589 | + | 0.256589i | ||||
\(233\) | 92.6893 | − | 345.921i | 0.397808 | − | 1.48464i | −0.419135 | − | 0.907924i | \(-0.637667\pi\) |
0.816944 | − | 0.576717i | \(-0.195667\pi\) | |||||||
\(234\) | −88.4439 | + | 11.7144i | −0.377965 | + | 0.0500617i | ||||
\(235\) | 316.349 | + | 13.1524i | 1.34617 | + | 0.0559675i | ||||
\(236\) | −83.8866 | − | 145.296i | −0.355452 | − | 0.615660i | ||||
\(237\) | −232.049 | − | 114.321i | −0.979108 | − | 0.482365i | ||||
\(238\) | −62.3985 | + | 245.690i | −0.262178 | + | 1.03231i | ||||
\(239\) | 97.3879 | 0.407481 | 0.203740 | − | 0.979025i | \(-0.434690\pi\) | ||||
0.203740 | + | 0.979025i | \(0.434690\pi\) | |||||||
\(240\) | 58.3156 | + | 14.1169i | 0.242982 | + | 0.0588205i | ||||
\(241\) | 44.6777 | + | 25.7947i | 0.185385 | + | 0.107032i | 0.589820 | − | 0.807535i | \(-0.299199\pi\) |
−0.404436 | + | 0.914567i | \(0.632532\pi\) | |||||||
\(242\) | −30.7986 | − | 114.942i | −0.127267 | − | 0.474966i | ||||
\(243\) | −46.9395 | + | 238.423i | −0.193167 | + | 0.981166i | ||||
\(244\) | −41.6288 | −0.170610 | ||||||||
\(245\) | 67.0429 | − | 235.649i | 0.273644 | − | 0.961831i | ||||
\(246\) | 4.08654 | + | 12.0231i | 0.0166120 | + | 0.0488743i | ||||
\(247\) | 30.7445 | − | 114.740i | 0.124472 | − | 0.464535i | ||||
\(248\) | −30.9179 | − | 115.387i | −0.124669 | − | 0.465270i | ||||
\(249\) | −195.997 | − | 38.9064i | −0.787138 | − | 0.156251i | ||||
\(250\) | −68.6681 | − | 162.895i | −0.274673 | − | 0.651579i | ||||
\(251\) | −328.831 | −1.31009 | −0.655043 | − | 0.755592i | \(-0.727349\pi\) | ||||
−0.655043 | + | 0.755592i | \(0.727349\pi\) | |||||||
\(252\) | −49.8280 | − | 115.729i | −0.197730 | − | 0.459242i | ||||
\(253\) | −123.549 | + | 123.549i | −0.488336 | + | 0.488336i | ||||
\(254\) | 30.6273 | + | 53.0481i | 0.120580 | + | 0.208851i | ||||
\(255\) | 183.912 | − | 337.202i | 0.721223 | − | 1.32236i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 7.24061 | − | 27.0223i | 0.0281736 | − | 0.105145i | −0.950407 | − | 0.311008i | \(-0.899333\pi\) |
0.978581 | + | 0.205863i | \(0.0660000\pi\) | |||||||
\(258\) | −119.636 | − | 58.9398i | −0.463706 | − | 0.228449i | ||||
\(259\) | −292.689 | − | 163.916i | −1.13007 | − | 0.632879i | ||||
\(260\) | −62.1075 | + | 32.4956i | −0.238875 | + | 0.124983i | ||||
\(261\) | −102.319 | + | 247.568i | −0.392026 | + | 0.948538i | ||||
\(262\) | −40.8533 | − | 152.467i | −0.155929 | − | 0.581933i | ||||
\(263\) | −58.4662 | + | 15.6660i | −0.222305 | + | 0.0595664i | −0.368252 | − | 0.929726i | \(-0.620044\pi\) |
0.145947 | + | 0.989292i | \(0.453377\pi\) | |||||||
\(264\) | 33.9503 | − | 38.7436i | 0.128600 | − | 0.146756i | ||||
\(265\) | 4.08677 | + | 7.81087i | 0.0154218 | + | 0.0294750i | ||||
\(266\) | 167.749 | − | 2.19519i | 0.630636 | − | 0.00825260i | ||||
\(267\) | −430.879 | − | 212.276i | −1.61378 | − | 0.795041i | ||||
\(268\) | 64.3144 | + | 17.2330i | 0.239979 | + | 0.0643022i | ||||
\(269\) | −223.312 | − | 128.929i | −0.830154 | − | 0.479290i | 0.0237511 | − | 0.999718i | \(-0.492439\pi\) |
−0.853906 | + | 0.520428i | \(0.825772\pi\) | |||||||
\(270\) | 29.6579 | + | 188.601i | 0.109844 | + | 0.698523i | ||||
\(271\) | 163.182 | − | 94.2131i | 0.602147 | − | 0.347650i | −0.167739 | − | 0.985831i | \(-0.553647\pi\) |
0.769886 | + | 0.638182i | \(0.220313\pi\) | |||||||
\(272\) | 72.4257 | + | 72.4257i | 0.266271 | + | 0.266271i | ||||
\(273\) | 132.885 | + | 63.3195i | 0.486757 | + | 0.231939i | ||||
\(274\) | 190.841i | 0.696499i | ||||||||
\(275\) | −151.251 | − | 12.5984i | −0.550003 | − | 0.0458124i | ||||
\(276\) | 169.377 | + | 33.6221i | 0.613685 | + | 0.121819i | ||||
\(277\) | −262.100 | + | 70.2296i | −0.946211 | + | 0.253536i | −0.698754 | − | 0.715362i | \(-0.746262\pi\) |
−0.247457 | + | 0.968899i | \(0.579595\pi\) | |||||||
\(278\) | 128.681 | + | 34.4799i | 0.462881 | + | 0.124029i | ||||
\(279\) | 301.381 | − | 231.634i | 1.08022 | − | 0.830228i | ||||
\(280\) | −67.9793 | − | 71.9640i | −0.242783 | − | 0.257014i | ||||
\(281\) | 265.329i | 0.944230i | 0.881537 | + | 0.472115i | \(0.156509\pi\) | ||||
−0.881537 | + | 0.472115i | \(0.843491\pi\) | |||||||
\(282\) | −268.081 | + | 17.6765i | −0.950642 | + | 0.0626828i | ||||
\(283\) | −401.740 | + | 107.646i | −1.41958 | + | 0.380374i | −0.885334 | − | 0.464956i | \(-0.846070\pi\) |
−0.534243 | + | 0.845331i | \(0.679403\pi\) | |||||||
\(284\) | 10.6074 | − | 18.3726i | 0.0373501 | − | 0.0646923i | ||||
\(285\) | −247.064 | − | 59.8088i | −0.866892 | − | 0.209855i | ||||
\(286\) | 60.1812i | 0.210424i | ||||||||
\(287\) | 5.15740 | − | 20.3069i | 0.0179700 | − | 0.0707558i | ||||
\(288\) | −50.4813 | − | 6.60571i | −0.175282 | − | 0.0229365i | ||||
\(289\) | 317.558 | − | 183.342i | 1.09882 | − | 0.634402i | ||||
\(290\) | −8.74266 | + | 210.284i | −0.0301471 | + | 0.725118i | ||||
\(291\) | 340.320 | + | 67.5550i | 1.16948 | + | 0.232148i | ||||
\(292\) | 189.102 | + | 50.6696i | 0.647608 | + | 0.173526i | ||||
\(293\) | −15.6606 | + | 15.6606i | −0.0534491 | + | 0.0534491i | −0.733326 | − | 0.679877i | \(-0.762033\pi\) |
0.679877 | + | 0.733326i | \(0.262033\pi\) | |||||||
\(294\) | −35.1275 | + | 204.900i | −0.119481 | + | 0.696939i | ||||
\(295\) | 125.293 | − | 400.282i | 0.424722 | − | 1.35689i | ||||
\(296\) | −117.387 | + | 67.7737i | −0.396579 | + | 0.228965i | ||||
\(297\) | 155.279 | + | 52.5066i | 0.522826 | + | 0.176790i | ||||
\(298\) | 73.4172 | + | 273.997i | 0.246366 | + | 0.919452i | ||||
\(299\) | −174.708 | + | 100.868i | −0.584308 | + | 0.337350i | ||||
\(300\) | 72.7467 | + | 131.179i | 0.242489 | + | 0.437263i | ||||
\(301\) | 112.506 | + | 189.108i | 0.373775 | + | 0.628265i | ||||
\(302\) | 265.869 | − | 265.869i | 0.880361 | − | 0.880361i | ||||
\(303\) | −75.3669 | + | 4.96949i | −0.248736 | + | 0.0164010i | ||||
\(304\) | 33.8934 | − | 58.7050i | 0.111491 | − | 0.193109i | ||||
\(305\) | −70.4696 | − | 76.5834i | −0.231048 | − | 0.251093i | ||||
\(306\) | −124.486 | + | 301.204i | −0.406818 | + | 0.984328i | ||||
\(307\) | −222.516 | + | 222.516i | −0.724809 | + | 0.724809i | −0.969581 | − | 0.244772i | \(-0.921287\pi\) |
0.244772 | + | 0.969581i | \(0.421287\pi\) | |||||||
\(308\) | −81.8027 | + | 23.0704i | −0.265593 | + | 0.0749038i | ||||
\(309\) | 415.431 | − | 141.201i | 1.34444 | − | 0.456962i | ||||
\(310\) | 159.936 | − | 252.207i | 0.515924 | − | 0.813571i | ||||
\(311\) | −92.6420 | + | 160.461i | −0.297884 | + | 0.515951i | −0.975652 | − | 0.219326i | \(-0.929614\pi\) |
0.677767 | + | 0.735276i | \(0.262948\pi\) | |||||||
\(312\) | 49.4408 | − | 33.0633i | 0.158464 | − | 0.105972i | ||||
\(313\) | 23.4325 | − | 87.4513i | 0.0748642 | − | 0.279397i | −0.918338 | − | 0.395796i | \(-0.870469\pi\) |
0.993202 | + | 0.116399i | \(0.0371352\pi\) | |||||||
\(314\) | 26.2263i | 0.0835234i | ||||||||
\(315\) | 128.554 | − | 287.574i | 0.408108 | − | 0.912934i | ||||
\(316\) | 172.454 | 0.545740 | ||||||||
\(317\) | 450.963 | + | 120.835i | 1.42260 | + | 0.381183i | 0.886404 | − | 0.462913i | \(-0.153196\pi\) |
0.536192 | + | 0.844096i | \(0.319862\pi\) | |||||||
\(318\) | −4.15817 | − | 6.21787i | −0.0130760 | − | 0.0195530i | ||||
\(319\) | 156.490 | + | 90.3494i | 0.490564 | + | 0.283227i | ||||
\(320\) | −39.0337 | + | 8.73886i | −0.121980 | + | 0.0273089i | ||||
\(321\) | −79.1417 | − | 232.844i | −0.246547 | − | 0.725370i | ||||
\(322\) | −204.081 | − | 198.809i | −0.633792 | − | 0.617419i | ||||
\(323\) | −306.844 | − | 306.844i | −0.949980 | − | 0.949980i | ||||
\(324\) | −42.1741 | − | 156.414i | −0.130167 | − | 0.482759i | ||||
\(325\) | −164.917 | − | 59.2486i | −0.507438 | − | 0.182303i | ||||
\(326\) | −102.552 | − | 59.2083i | −0.314576 | − | 0.181620i | ||||
\(327\) | 3.23656 | + | 49.0854i | 0.00989774 | + | 0.150108i | ||||
\(328\) | −5.98617 | − | 5.98617i | −0.0182505 | − | 0.0182505i | ||||
\(329\) | 386.752 | + | 216.594i | 1.17554 | + | 0.658339i | ||||
\(330\) | 128.747 | − | 3.12794i | 0.390142 | − | 0.00947862i | ||||
\(331\) | 184.281 | + | 319.184i | 0.556740 | + | 0.964302i | 0.997766 | + | 0.0668078i | \(0.0212814\pi\) |
−0.441026 | + | 0.897494i | \(0.645385\pi\) | |||||||
\(332\) | 128.675 | − | 34.4784i | 0.387576 | − | 0.103851i | ||||
\(333\) | −342.386 | − | 262.296i | −1.02819 | − | 0.787675i | ||||
\(334\) | 146.343 | + | 253.473i | 0.438152 | + | 0.758902i | ||||
\(335\) | 77.1689 | + | 147.490i | 0.230355 | + | 0.440268i | ||||
\(336\) | 63.8952 | + | 54.5289i | 0.190164 | + | 0.162288i | ||||
\(337\) | 424.870 | + | 424.870i | 1.26074 | + | 1.26074i | 0.950734 | + | 0.310009i | \(0.100332\pi\) |
0.310009 | + | 0.950734i | \(0.399668\pi\) | |||||||
\(338\) | 43.8744 | − | 163.741i | 0.129806 | − | 0.484442i | ||||
\(339\) | −95.7348 | + | 482.280i | −0.282403 | + | 1.42265i | ||||
\(340\) | −10.6368 | + | 255.842i | −0.0312846 | + | 0.752477i | ||||
\(341\) | −128.203 | − | 222.054i | −0.375961 | − | 0.651183i | ||||
\(342\) | 213.873 | + | 27.9862i | 0.625359 | + | 0.0818311i | ||||
\(343\) | 232.832 | − | 251.869i | 0.678811 | − | 0.734313i | ||||
\(344\) | 88.9113 | 0.258463 | ||||||||
\(345\) | 224.869 | + | 368.514i | 0.651795 | + | 1.06816i | ||||
\(346\) | 303.413 | + | 175.176i | 0.876918 | + | 0.506289i | ||||
\(347\) | −15.5792 | − | 58.1423i | −0.0448968 | − | 0.167557i | 0.939837 | − | 0.341622i | \(-0.110976\pi\) |
−0.984734 | + | 0.174065i | \(0.944310\pi\) | |||||||
\(348\) | −11.7500 | − | 178.199i | −0.0337643 | − | 0.512067i | ||||
\(349\) | −544.766 | −1.56093 | −0.780467 | − | 0.625197i | \(-0.785019\pi\) | ||||
−0.780467 | + | 0.625197i | \(0.785019\pi\) | |||||||
\(350\) | 17.3143 | − | 246.881i | 0.0494695 | − | 0.705374i | ||||
\(351\) | 157.485 | + | 104.960i | 0.448674 | + | 0.299031i | ||||
\(352\) | −8.88853 | + | 33.1724i | −0.0252515 | + | 0.0942399i | ||||
\(353\) | −80.4748 | − | 300.336i | −0.227974 | − | 0.850811i | −0.981191 | − | 0.193039i | \(-0.938166\pi\) |
0.753217 | − | 0.657772i | \(-0.228501\pi\) | |||||||
\(354\) | −69.2958 | + | 349.089i | −0.195751 | + | 0.986128i | ||||
\(355\) | 51.7560 | − | 11.5871i | 0.145791 | − | 0.0326397i | ||||
\(356\) | 320.221 | 0.899496 | ||||||||
\(357\) | 443.042 | − | 304.747i | 1.24101 | − | 0.853633i | ||||
\(358\) | 40.0014 | − | 40.0014i | 0.111736 | − | 0.111736i | ||||
\(359\) | −184.699 | − | 319.907i | −0.514481 | − | 0.891106i | −0.999859 | − | 0.0168022i | \(-0.994651\pi\) |
0.485378 | − | 0.874304i | \(-0.338682\pi\) | |||||||
\(360\) | −73.3029 | − | 104.051i | −0.203619 | − | 0.289032i | ||||
\(361\) | 36.9050 | − | 63.9213i | 0.102230 | − | 0.177067i | ||||
\(362\) | −76.9183 | + | 287.063i | −0.212482 | + | 0.792992i | ||||
\(363\) | −111.558 | + | 226.441i | −0.307322 | + | 0.623804i | ||||
\(364\) | −98.1245 | + | 1.28407i | −0.269573 | + | 0.00352767i | ||||
\(365\) | 226.897 | + | 433.659i | 0.621636 | + | 1.18811i | ||||
\(366\) | 66.4163 | + | 58.1995i | 0.181465 | + | 0.159015i | ||||
\(367\) | −160.700 | − | 599.740i | −0.437874 | − | 1.63417i | −0.734093 | − | 0.679049i | \(-0.762392\pi\) |
0.296218 | − | 0.955120i | \(-0.404274\pi\) | |||||||
\(368\) | −111.199 | + | 29.7956i | −0.302170 | + | 0.0809662i | ||||
\(369\) | 10.2891 | − | 24.8953i | 0.0278838 | − | 0.0674671i | ||||
\(370\) | −323.396 | − | 101.227i | −0.874043 | − | 0.273586i | ||||
\(371\) | 0.161490 | + | 12.3405i | 0.000435282 | + | 0.0332629i | ||||
\(372\) | −111.990 | + | 227.318i | −0.301049 | + | 0.611071i | ||||
\(373\) | −138.928 | − | 37.2257i | −0.372462 | − | 0.0998008i | 0.0677323 | − | 0.997704i | \(-0.478424\pi\) |
−0.440194 | + | 0.897903i | \(0.645090\pi\) | |||||||
\(374\) | 190.393 | + | 109.924i | 0.509073 | + | 0.293914i | ||||
\(375\) | −118.180 | + | 355.891i | −0.315147 | + | 0.949043i | ||||
\(376\) | 155.113 | − | 89.5544i | 0.412534 | − | 0.238177i | ||||
\(377\) | 147.526 | + | 147.526i | 0.391315 | + | 0.391315i | ||||
\(378\) | −82.2980 | + | 254.301i | −0.217720 | + | 0.672754i | ||||
\(379\) | 743.787i | 1.96250i | 0.192741 | + | 0.981250i | \(0.438262\pi\) | ||||
−0.192741 | + | 0.981250i | \(0.561738\pi\) | |||||||
\(380\) | 165.373 | − | 37.0237i | 0.435192 | − | 0.0974307i | ||||
\(381\) | 25.3002 | − | 127.454i | 0.0664047 | − | 0.334525i | ||||
\(382\) | −255.092 | + | 68.3517i | −0.667781 | + | 0.178931i | ||||
\(383\) | −177.428 | − | 47.5416i | −0.463258 | − | 0.124130i | 0.0196383 | − | 0.999807i | \(-0.493749\pi\) |
−0.482896 | + | 0.875678i | \(0.660415\pi\) | |||||||
\(384\) | 32.1356 | − | 10.9226i | 0.0836864 | − | 0.0284443i | ||||
\(385\) | −180.918 | − | 111.437i | −0.469918 | − | 0.289446i | ||||
\(386\) | − | 247.576i | − | 0.641390i | ||||||
\(387\) | 108.471 | + | 261.293i | 0.280288 | + | 0.675177i | ||||
\(388\) | −223.425 | + | 59.8665i | −0.575838 | + | 0.154295i | ||||
\(389\) | −216.669 | + | 375.281i | −0.556989 | + | 0.964734i | 0.440757 | + | 0.897627i | \(0.354710\pi\) |
−0.997746 | + | 0.0671069i | \(0.978623\pi\) | |||||||
\(390\) | 144.520 | + | 34.9850i | 0.370563 | + | 0.0897052i | ||||
\(391\) | 736.958i | 1.88480i | ||||||||
\(392\) | −39.3613 | − | 132.886i | −0.100411 | − | 0.338995i | ||||
\(393\) | −147.978 | + | 300.367i | −0.376534 | + | 0.764292i | ||||
\(394\) | −56.5953 | + | 32.6753i | −0.143643 | + | 0.0829323i | ||||
\(395\) | 291.931 | + | 317.259i | 0.739067 | + | 0.803186i | ||||
\(396\) | −108.332 | + | 14.3486i | −0.273564 | + | 0.0362338i | ||||
\(397\) | −365.291 | − | 97.8793i | −0.920128 | − | 0.246547i | −0.232488 | − | 0.972599i | \(-0.574687\pi\) |
−0.687640 | + | 0.726052i | \(0.741353\pi\) | |||||||
\(398\) | 39.5481 | − | 39.5481i | 0.0993670 | − | 0.0993670i | ||||
\(399\) | −270.703 | − | 231.021i | −0.678454 | − | 0.579000i | ||||
\(400\) | −82.1533 | − | 57.0161i | −0.205383 | − | 0.142540i | ||||
\(401\) | 144.925 | − | 83.6723i | 0.361408 | − | 0.208659i | −0.308290 | − | 0.951292i | \(-0.599757\pi\) |
0.669698 | + | 0.742633i | \(0.266423\pi\) | |||||||
\(402\) | −78.5171 | − | 117.410i | −0.195316 | − | 0.292063i | ||||
\(403\) | −76.6216 | − | 285.956i | −0.190128 | − | 0.709568i | ||||
\(404\) | 43.6076 | − | 25.1768i | 0.107940 | − | 0.0623189i | ||||
\(405\) | 216.358 | − | 342.366i | 0.534217 | − | 0.845347i | ||||
\(406\) | −143.974 | + | 257.082i | −0.354617 | + | 0.633207i | ||||
\(407\) | −205.726 | + | 205.726i | −0.505470 | + | 0.505470i | ||||
\(408\) | −14.2956 | − | 216.806i | −0.0350383 | − | 0.531388i | ||||
\(409\) | −282.764 | + | 489.761i | −0.691353 | + | 1.19746i | 0.280041 | + | 0.959988i | \(0.409652\pi\) |
−0.971395 | + | 0.237471i | \(0.923681\pi\) | |||||||
\(410\) | 0.879157 | − | 21.1461i | 0.00214428 | − | 0.0515757i | ||||
\(411\) | 266.806 | − | 304.475i | 0.649164 | − | 0.740816i | ||||
\(412\) | −206.839 | + | 206.839i | −0.502036 | + | 0.502036i | ||||
\(413\) | 409.749 | − | 420.615i | 0.992127 | − | 1.01844i | ||||
\(414\) | −223.225 | − | 290.441i | −0.539192 | − | 0.701549i | ||||
\(415\) | 281.252 | + | 178.355i | 0.677715 | + | 0.429771i | ||||
\(416\) | −19.8258 | + | 34.3394i | −0.0476583 | + | 0.0825466i | ||||
\(417\) | −157.098 | − | 234.914i | −0.376733 | − | 0.563343i | ||||
\(418\) | 37.6578 | − | 140.541i | 0.0900904 | − | 0.336222i | ||||
\(419\) | 431.753i | 1.03044i | 0.857059 | + | 0.515218i | \(0.172289\pi\) | ||||
−0.857059 | + | 0.515218i | \(0.827711\pi\) | |||||||
\(420\) | 7.84711 | + | 209.853i | 0.0186836 | + | 0.499651i | ||||
\(421\) | −408.628 | −0.970613 | −0.485307 | − | 0.874344i | \(-0.661292\pi\) | ||||
−0.485307 | + | 0.874344i | \(0.661292\pi\) | |||||||
\(422\) | −198.978 | − | 53.3160i | −0.471512 | − | 0.126341i | ||||
\(423\) | 452.420 | + | 346.591i | 1.06955 | + | 0.819364i | ||||
\(424\) | 4.31865 | + | 2.49337i | 0.0101855 | + | 0.00588060i | ||||
\(425\) | −488.672 | + | 413.524i | −1.14982 | + | 0.972998i | ||||
\(426\) | −42.6095 | + | 14.4826i | −0.100022 | + | 0.0339968i | ||||
\(427\) | −39.5484 | − | 140.231i | −0.0926193 | − | 0.328409i | ||||
\(428\) | 115.931 | + | 115.931i | 0.270866 | + | 0.270866i | ||||
\(429\) | 84.1368 | − | 96.0155i | 0.196123 | − | 0.223812i | ||||
\(430\) | 150.510 | + | 163.568i | 0.350023 | + | 0.380390i | ||||
\(431\) | 282.743 | + | 163.241i | 0.656015 | + | 0.378751i | 0.790757 | − | 0.612130i | \(-0.209687\pi\) |
−0.134742 | + | 0.990881i | \(0.543020\pi\) | |||||||
\(432\) | 71.3048 | + | 81.1149i | 0.165057 | + | 0.187766i | ||||
\(433\) | 135.145 | + | 135.145i | 0.312114 | + | 0.312114i | 0.845728 | − | 0.533614i | \(-0.179167\pi\) |
−0.533614 | + | 0.845728i | \(0.679167\pi\) | |||||||
\(434\) | 359.320 | − | 213.771i | 0.827926 | − | 0.492559i | ||||
\(435\) | 307.938 | − | 323.273i | 0.707903 | − | 0.743157i | ||||
\(436\) | −16.3973 | − | 28.4010i | −0.0376085 | − | 0.0651399i | ||||
\(437\) | 471.112 | − | 126.234i | 1.07806 | − | 0.288865i | ||||
\(438\) | −230.861 | − | 345.215i | −0.527081 | − | 0.788163i | ||||
\(439\) | −308.876 | − | 534.989i | −0.703590 | − | 1.21865i | −0.967198 | − | 0.254023i | \(-0.918246\pi\) |
0.263608 | − | 0.964630i | \(-0.415087\pi\) | |||||||
\(440\) | −76.0731 | + | 39.8026i | −0.172893 | + | 0.0904605i | ||||
\(441\) | 342.506 | − | 277.796i | 0.776658 | − | 0.629923i | ||||
\(442\) | 179.488 | + | 179.488i | 0.406080 | + | 0.406080i | ||||
\(443\) | 99.2276 | − | 370.322i | 0.223990 | − | 0.835942i | −0.758817 | − | 0.651304i | \(-0.774222\pi\) |
0.982807 | − | 0.184638i | \(-0.0591112\pi\) | |||||||
\(444\) | 282.036 | + | 55.9856i | 0.635217 | + | 0.126094i | ||||
\(445\) | 542.072 | + | 589.101i | 1.21814 | + | 1.32382i | ||||
\(446\) | −202.781 | − | 351.227i | −0.454665 | − | 0.787504i | ||||
\(447\) | 265.930 | − | 539.787i | 0.594922 | − | 1.20758i | ||||
\(448\) | −54.2769 | − | 13.7848i | −0.121154 | − | 0.0307697i | ||||
\(449\) | 38.5058 | 0.0857590 | 0.0428795 | − | 0.999080i | \(-0.486347\pi\) | ||||
0.0428795 | + | 0.999080i | \(0.486347\pi\) | |||||||
\(450\) | 67.3328 | − | 310.992i | 0.149628 | − | 0.691094i | ||||
\(451\) | −15.7365 | − | 9.08548i | −0.0348925 | − | 0.0201452i | ||||
\(452\) | −84.8391 | − | 316.624i | −0.187697 | − | 0.700495i | ||||
\(453\) | −795.879 | + | 52.4781i | −1.75691 | + | 0.115846i | ||||
\(454\) | 80.9667 | 0.178341 | ||||||||
\(455\) | −168.468 | − | 178.343i | −0.370260 | − | 0.391964i | ||||
\(456\) | −136.148 | + | 46.2755i | −0.298570 | + | 0.101481i | ||||
\(457\) | 165.470 | − | 617.544i | 0.362080 | − | 1.35130i | −0.509257 | − | 0.860615i | \(-0.670080\pi\) |
0.871337 | − | 0.490686i | \(-0.163254\pi\) | |||||||
\(458\) | 24.2974 | + | 90.6793i | 0.0530512 | + | 0.197990i | ||||
\(459\) | 619.712 | − | 306.515i | 1.35013 | − | 0.667789i | ||||
\(460\) | −243.052 | − | 154.131i | −0.528374 | − | 0.335067i | ||||
\(461\) | 142.328 | 0.308737 | 0.154369 | − | 0.988013i | \(-0.450666\pi\) | ||||
0.154369 | + | 0.988013i | \(0.450666\pi\) | |||||||
\(462\) | 162.765 | + | 77.5576i | 0.352306 | + | 0.167874i | ||||
\(463\) | 62.1843 | − | 62.1843i | 0.134307 | − | 0.134307i | −0.636757 | − | 0.771064i | \(-0.719725\pi\) |
0.771064 | + | 0.636757i | \(0.219725\pi\) | |||||||
\(464\) | 59.5287 | + | 103.107i | 0.128295 | + | 0.222213i | ||||
\(465\) | −607.769 | + | 178.781i | −1.30703 | + | 0.384475i | ||||
\(466\) | 253.232 | − | 438.611i | 0.543416 | − | 0.941225i | ||||
\(467\) | −144.105 | + | 537.808i | −0.308577 | + | 1.15162i | 0.621246 | + | 0.783616i | \(0.286627\pi\) |
−0.929823 | + | 0.368008i | \(0.880040\pi\) | |||||||
\(468\) | −125.104 | − | 16.3705i | −0.267317 | − | 0.0349797i | ||||
\(469\) | 3.04935 | + | 233.021i | 0.00650181 | + | 0.496847i | ||||
\(470\) | 427.327 | + | 133.758i | 0.909206 | + | 0.284592i | ||||
\(471\) | 36.6659 | − | 41.8426i | 0.0778470 | − | 0.0888378i | ||||
\(472\) | −61.4092 | − | 229.182i | −0.130104 | − | 0.485556i | ||||
\(473\) | 184.338 | − | 49.3932i | 0.389720 | − | 0.104425i | ||||
\(474\) | −275.140 | − | 241.100i | −0.580464 | − | 0.508651i | ||||
\(475\) | 348.056 | + | 241.558i | 0.732750 | + | 0.508544i | ||||
\(476\) | −175.167 | + | 312.779i | −0.367997 | + | 0.657099i | ||||
\(477\) | −2.05881 | + | 15.7336i | −0.00431617 | + | 0.0329845i | ||||
\(478\) | 133.034 | + | 35.6464i | 0.278314 | + | 0.0745741i | ||||
\(479\) | −32.8860 | − | 18.9867i | −0.0686554 | − | 0.0396382i | 0.465279 | − | 0.885164i | \(-0.345954\pi\) |
−0.533935 | + | 0.845526i | \(0.679287\pi\) | |||||||
\(480\) | 74.4935 | + | 40.6291i | 0.155195 | + | 0.0846439i | ||||
\(481\) | −290.913 | + | 167.959i | −0.604809 | + | 0.349187i | ||||
\(482\) | 51.5893 | + | 51.5893i | 0.107032 | + | 0.107032i | ||||
\(483\) | 47.6532 | + | 602.505i | 0.0986608 | + | 1.24742i | ||||
\(484\) | − | 168.286i | − | 0.347699i | ||||||
\(485\) | −488.351 | − | 309.686i | −1.00691 | − | 0.638529i | ||||
\(486\) | −151.390 | + | 308.511i | −0.311501 | + | 0.634797i | ||||
\(487\) | −469.334 | + | 125.758i | −0.963726 | + | 0.258230i | −0.706177 | − | 0.708036i | \(-0.749582\pi\) |
−0.257549 | + | 0.966265i | \(0.582915\pi\) | |||||||
\(488\) | −56.8660 | − | 15.2372i | −0.116529 | − | 0.0312238i | ||||
\(489\) | 80.8387 | + | 237.837i | 0.165314 | + | 0.486373i | ||||
\(490\) | 177.836 | − | 297.363i | 0.362930 | − | 0.606862i | ||||
\(491\) | 170.670i | 0.347596i | 0.984781 | + | 0.173798i | \(0.0556040\pi\) | ||||
−0.984781 | + | 0.173798i | \(0.944396\pi\) | |||||||
\(492\) | 1.18157 | + | 17.9196i | 0.00240157 | + | 0.0364220i | ||||
\(493\) | 736.186 | − | 197.261i | 1.49328 | − | 0.400123i | ||||
\(494\) | 83.9956 | − | 145.485i | 0.170032 | − | 0.294503i | ||||
\(495\) | −209.781 | − | 175.005i | −0.423800 | − | 0.353546i | ||||
\(496\) | − | 168.938i | − | 0.340602i | ||||||
\(497\) | 71.9673 | + | 18.2777i | 0.144803 | + | 0.0367761i | ||||
\(498\) | −253.497 | − | 124.887i | −0.509029 | − | 0.250777i | ||||
\(499\) | 7.72541 | − | 4.46027i | 0.0154818 | − | 0.00893841i | −0.492239 | − | 0.870460i | \(-0.663821\pi\) |
0.507721 | + | 0.861522i | \(0.330488\pi\) | |||||||
\(500\) | −34.1788 | − | 247.653i | −0.0683576 | − | 0.495305i | ||||
\(501\) | 120.889 | − | 608.997i | 0.241295 | − | 1.21556i | ||||
\(502\) | −449.192 | − | 120.361i | −0.894805 | − | 0.239762i | ||||
\(503\) | −256.753 | + | 256.753i | −0.510443 | + | 0.510443i | −0.914662 | − | 0.404219i | \(-0.867543\pi\) |
0.404219 | + | 0.914662i | \(0.367543\pi\) | |||||||
\(504\) | −25.7066 | − | 176.327i | −0.0510051 | − | 0.349855i | ||||
\(505\) | 120.136 | + | 37.6041i | 0.237894 | + | 0.0744636i | ||||
\(506\) | −213.993 | + | 123.549i | −0.422911 | + | 0.244168i | ||||
\(507\) | −298.919 | + | 199.901i | −0.589583 | + | 0.394282i | ||||
\(508\) | 22.4208 | + | 83.6754i | 0.0441353 | + | 0.164715i | ||||
\(509\) | 460.998 | − | 266.157i | 0.905693 | − | 0.522902i | 0.0266499 | − | 0.999645i | \(-0.491516\pi\) |
0.879043 | + | 0.476743i | \(0.158183\pi\) | |||||||
\(510\) | 374.653 | − | 393.311i | 0.734613 | − | 0.771197i | ||||
\(511\) | 8.96590 | + | 685.144i | 0.0175458 | + | 1.34079i | ||||
\(512\) | −16.0000 | + | 16.0000i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −302.095 | − | 343.657i | −0.588879 | − | 0.669897i | ||||
\(514\) | 19.7817 | − | 34.2630i | 0.0384859 | − | 0.0666594i | ||||
\(515\) | −730.654 | − | 30.3773i | −1.41875 | − | 0.0589850i | ||||
\(516\) | −141.853 | − | 124.303i | −0.274908 | − | 0.240898i | ||||
\(517\) | 271.841 | − | 271.841i | 0.525805 | − | 0.525805i | ||||
\(518\) | −339.824 | − | 331.044i | −0.656030 | − | 0.639082i | ||||
\(519\) | −239.172 | − | 703.673i | −0.460833 | − | 1.35582i | ||||
\(520\) | −96.7346 | + | 21.6569i | −0.186028 | + | 0.0416479i | ||||
\(521\) | −241.082 | + | 417.566i | −0.462730 | + | 0.801471i | −0.999096 | − | 0.0425142i | \(-0.986463\pi\) |
0.536366 | + | 0.843985i | \(0.319797\pi\) | |||||||
\(522\) | −230.386 | + | 300.734i | −0.441353 | + | 0.576118i | ||||
\(523\) | −238.196 | + | 888.960i | −0.455442 | + | 1.69973i | 0.231344 | + | 0.972872i | \(0.425688\pi\) |
−0.686786 | + | 0.726860i | \(0.740979\pi\) | |||||||
\(524\) | − | 223.227i | − | 0.426005i | ||||||
\(525\) | −372.778 | + | 369.678i | −0.710053 | + | 0.704148i | ||||
\(526\) | −85.6004 | −0.162738 | ||||||||
\(527\) | −1044.62 | − | 279.906i | −1.98221 | − | 0.531131i | ||||
\(528\) | 60.5581 | − | 40.4980i | 0.114693 | − | 0.0767008i | ||||
\(529\) | −259.207 | − | 149.653i | −0.489994 | − | 0.282898i | ||||
\(530\) | 2.72366 | + | 12.1657i | 0.00513897 | + | 0.0229542i | ||||
\(531\) | 598.604 | − | 460.072i | 1.12732 | − | 0.866425i | ||||
\(532\) | 229.953 | + | 58.4018i | 0.432243 | + | 0.109778i | ||||
\(533\) | −14.8351 | − | 14.8351i | −0.0278333 | − | 0.0278333i | ||||
\(534\) | −510.893 | − | 447.687i | −0.956729 | − | 0.838365i | ||||
\(535\) | −17.0261 | + | 409.523i | −0.0318245 | + | 0.765463i | ||||
\(536\) | 81.5474 | + | 47.0814i | 0.152141 | + | 0.0878385i | ||||
\(537\) | −119.744 | + | 7.89562i | −0.222987 | + | 0.0147032i | ||||
\(538\) | −257.858 | − | 257.858i | −0.479290 | − | 0.479290i | ||||
\(539\) | −155.429 | − | 253.643i | −0.288366 | − | 0.470581i | ||||
\(540\) | −28.5194 | + | 268.490i | −0.0528137 | + | 0.497203i | ||||
\(541\) | −322.337 | − | 558.305i | −0.595818 | − | 1.03199i | −0.993431 | − | 0.114433i | \(-0.963495\pi\) |
0.397613 | − | 0.917553i | \(-0.369839\pi\) | |||||||
\(542\) | 257.395 | − | 68.9688i | 0.474898 | − | 0.127249i | ||||
\(543\) | 524.049 | − | 350.456i | 0.965100 | − | 0.645407i | ||||
\(544\) | 72.4257 | + | 125.445i | 0.133135 | + | 0.230597i | ||||
\(545\) | 24.4910 | − | 78.2432i | 0.0449377 | − | 0.143565i | ||||
\(546\) | 158.347 | + | 135.135i | 0.290013 | + | 0.247500i | ||||
\(547\) | 753.854 | + | 753.854i | 1.37816 | + | 1.37816i | 0.847725 | + | 0.530436i | \(0.177972\pi\) |
0.530436 | + | 0.847725i | \(0.322028\pi\) | |||||||
\(548\) | −69.8525 | + | 260.693i | −0.127468 | + | 0.475718i | ||||
\(549\) | −24.5971 | − | 185.708i | −0.0448034 | − | 0.338265i | ||||
\(550\) | −202.001 | − | 72.5713i | −0.367274 | − | 0.131948i | ||||
\(551\) | −252.204 | − | 436.829i | −0.457720 | − | 0.792794i | ||||
\(552\) | 219.067 | + | 107.925i | 0.396860 | + | 0.195516i | ||||
\(553\) | 163.836 | + | 580.927i | 0.296267 | + | 1.05050i | ||||
\(554\) | −383.742 | −0.692674 | ||||||||
\(555\) | 374.439 | + | 613.628i | 0.674664 | + | 1.10564i | ||||
\(556\) | 163.161 | + | 94.2009i | 0.293455 | + | 0.169426i | ||||
\(557\) | 4.65931 | + | 17.3888i | 0.00836501 | + | 0.0312187i | 0.969982 | − | 0.243176i | \(-0.0781892\pi\) |
−0.961617 | + | 0.274395i | \(0.911523\pi\) | |||||||
\(558\) | 496.478 | − | 206.104i | 0.889745 | − | 0.369362i | ||||
\(559\) | 220.343 | 0.394173 | ||||||||
\(560\) | −66.5208 | − | 123.187i | −0.118787 | − | 0.219976i | ||||
\(561\) | −150.082 | − | 441.558i | −0.267526 | − | 0.787090i | ||||
\(562\) | −97.1170 | + | 362.445i | −0.172806 | + | 0.644921i | ||||
\(563\) | 212.599 | + | 793.429i | 0.377617 | + | 1.40929i | 0.849483 | + | 0.527617i | \(0.176914\pi\) |
−0.471865 | + | 0.881671i | \(0.656419\pi\) | |||||||
\(564\) | −372.675 | − | 73.9778i | −0.660772 | − | 0.131166i | ||||
\(565\) | 438.868 | − | 692.060i | 0.776758 | − | 1.22488i | ||||
\(566\) | −588.188 | −1.03920 | ||||||||
\(567\) | 486.829 | − | 290.665i | 0.858606 | − | 0.512637i | ||||
\(568\) | 21.2149 | − | 21.2149i | 0.0373501 | − | 0.0373501i | ||||
\(569\) | −306.103 | − | 530.186i | −0.537967 | − | 0.931786i | −0.999013 | − | 0.0444103i | \(-0.985859\pi\) |
0.461046 | − | 0.887376i | \(-0.347474\pi\) | |||||||
\(570\) | −315.604 | − | 172.132i | −0.553692 | − | 0.301986i | ||||
\(571\) | −39.0173 | + | 67.5799i | −0.0683315 | + | 0.118354i | −0.898167 | − | 0.439655i | \(-0.855101\pi\) |
0.829835 | + | 0.558008i | \(0.188434\pi\) | |||||||
\(572\) | −22.0278 | + | 82.2090i | −0.0385102 | + | 0.143722i | ||||
\(573\) | 502.544 | + | 247.582i | 0.877041 | + | 0.432081i | ||||
\(574\) | 14.4780 | − | 25.8520i | 0.0252230 | − | 0.0450384i | ||||
\(575\) | −127.890 | − | 708.051i | −0.222418 | − | 1.23139i | ||||
\(576\) | −66.5409 | − | 27.5010i | −0.115522 | − | 0.0477448i | ||||
\(577\) | −115.407 | − | 430.705i | −0.200012 | − | 0.746456i | −0.990912 | − | 0.134510i | \(-0.957054\pi\) |
0.790900 | − | 0.611946i | \(-0.209613\pi\) | |||||||
\(578\) | 500.900 | − | 134.216i | 0.866609 | − | 0.232207i | ||||
\(579\) | −346.126 | + | 394.994i | −0.597800 | + | 0.682200i | ||||
\(580\) | −88.9120 | + | 284.053i | −0.153297 | + | 0.489747i | ||||
\(581\) | 238.389 | + | 400.700i | 0.410308 | + | 0.689672i | ||||
\(582\) | 440.158 | + | 216.848i | 0.756286 | + | 0.372590i | ||||
\(583\) | 10.3389 | + | 2.77030i | 0.0177340 | + | 0.00475181i | ||||
\(584\) | 239.771 | + | 138.432i | 0.410567 | + | 0.237041i | ||||
\(585\) | −181.661 | − | 257.863i | −0.310532 | − | 0.440792i | ||||
\(586\) | −27.1249 | + | 15.6606i | −0.0462883 | + | 0.0267246i | ||||
\(587\) | −774.944 | − | 774.944i | −1.32018 | − | 1.32018i | −0.913629 | − | 0.406549i | \(-0.866732\pi\) |
−0.406549 | − | 0.913629i | \(-0.633268\pi\) | |||||||
\(588\) | −122.984 | + | 267.041i | −0.209156 | + | 0.454152i | ||||
\(589\) | 715.736i | 1.21517i | ||||||||
\(590\) | 317.667 | − | 500.935i | 0.538418 | − | 0.849042i | ||||
\(591\) | 135.977 | + | 26.9920i | 0.230079 | + | 0.0456717i | ||||
\(592\) | −185.161 | + | 49.6138i | −0.312772 | + | 0.0838071i | ||||
\(593\) | 165.220 | + | 44.2706i | 0.278618 | + | 0.0746554i | 0.395422 | − | 0.918500i | \(-0.370598\pi\) |
−0.116804 | + | 0.993155i | \(0.537265\pi\) | |||||||
\(594\) | 192.897 | + | 128.561i | 0.324742 | + | 0.216433i | ||||
\(595\) | −871.935 | + | 207.226i | −1.46544 | + | 0.348279i | ||||
\(596\) | 401.159i | 0.673085i | ||||||||
\(597\) | −118.387 | + | 7.80613i | −0.198303 | + | 0.0130756i | ||||
\(598\) | −275.576 | + | 73.8403i | −0.460829 | + | 0.123479i | ||||
\(599\) | −291.458 | + | 504.819i | −0.486574 | + | 0.842770i | −0.999881 | − | 0.0154348i | \(-0.995087\pi\) |
0.513307 | + | 0.858205i | \(0.328420\pi\) | |||||||
\(600\) | 51.3590 | + | 205.821i | 0.0855983 | + | 0.343035i | ||||
\(601\) | − | 831.971i | − | 1.38431i | −0.721749 | − | 0.692155i | \(-0.756661\pi\) | ||
0.721749 | − | 0.692155i | \(-0.243339\pi\) | |||||||
\(602\) | 84.4680 | + | 299.506i | 0.140312 | + | 0.497519i | ||||
\(603\) | −38.8758 | + | 297.092i | −0.0644706 | + | 0.492689i | ||||
\(604\) | 460.499 | − | 265.869i | 0.762415 | − | 0.440180i | ||||
\(605\) | 309.592 | − | 284.877i | 0.511722 | − | 0.470871i | ||||
\(606\) | −104.772 | − | 20.7977i | −0.172891 | − | 0.0343197i | ||||
\(607\) | 676.244 | + | 181.199i | 1.11408 | + | 0.298516i | 0.768484 | − | 0.639869i | \(-0.221012\pi\) |
0.345592 | + | 0.938385i | \(0.387678\pi\) | |||||||
\(608\) | 67.7867 | − | 67.7867i | 0.111491 | − | 0.111491i | ||||
\(609\) | 589.119 | − | 208.875i | 0.967354 | − | 0.342980i | ||||
\(610\) | −68.2318 | − | 130.408i | −0.111855 | − | 0.213784i | ||||
\(611\) | 384.405 | − | 221.936i | 0.629141 | − | 0.363235i | ||||
\(612\) | −280.300 | + | 365.888i | −0.458006 | + | 0.597856i | ||||
\(613\) | −257.420 | − | 960.706i | −0.419935 | − | 1.56722i | −0.774741 | − | 0.632279i | \(-0.782120\pi\) |
0.354805 | − | 0.934940i | \(-0.384547\pi\) | |||||||
\(614\) | −385.410 | + | 222.516i | −0.627703 | + | 0.362405i | ||||
\(615\) | −30.9661 | + | 32.5082i | −0.0503513 | + | 0.0528588i | ||||
\(616\) | −120.189 | + | 1.57281i | −0.195112 | + | 0.00255326i | ||||
\(617\) | −78.0872 | + | 78.0872i | −0.126559 | + | 0.126559i | −0.767549 | − | 0.640990i | \(-0.778524\pi\) |
0.640990 | + | 0.767549i | \(0.278524\pi\) | |||||||
\(618\) | 619.172 | − | 40.8266i | 1.00190 | − | 0.0660624i | ||||
\(619\) | 232.594 | − | 402.865i | 0.375758 | − | 0.650832i | −0.614682 | − | 0.788775i | \(-0.710716\pi\) |
0.990440 | + | 0.137943i | \(0.0440491\pi\) | |||||||
\(620\) | 310.791 | − | 285.980i | 0.501276 | − | 0.461259i | ||||
\(621\) | −49.9104 | + | 775.464i | −0.0803709 | + | 1.24873i | ||||
\(622\) | −185.284 | + | 185.284i | −0.297884 | + | 0.297884i | ||||
\(623\) | 304.218 | + | 1078.69i | 0.488311 | + | 1.73145i | ||||
\(624\) | 79.6394 | − | 27.0688i | 0.127627 | − | 0.0433795i | ||||
\(625\) | 397.742 | − | 482.106i | 0.636387 | − | 0.771370i | ||||
\(626\) | 64.0188 | − | 110.884i | 0.102266 | − | 0.177131i | ||||
\(627\) | −256.565 | + | 171.577i | −0.409194 | + | 0.273647i | ||||
\(628\) | −9.59950 | + | 35.8258i | −0.0152858 | + | 0.0570475i | ||||
\(629\) | 1227.14i | 1.95094i | ||||||||
\(630\) | 280.868 | − | 345.779i | 0.445821 | − | 0.548856i | ||||
\(631\) | −547.403 | −0.867516 | −0.433758 | − | 0.901029i | \(-0.642813\pi\) | ||||
−0.433758 | + | 0.901029i | \(0.642813\pi\) | |||||||
\(632\) | 235.576 | + | 63.1225i | 0.372747 | + | 0.0998773i | ||||
\(633\) | 242.919 | + | 363.245i | 0.383758 | + | 0.573847i | ||||
\(634\) | 571.798 | + | 330.128i | 0.901890 | + | 0.520706i | ||||
\(635\) | −115.981 | + | 182.893i | −0.182648 | + | 0.288021i | ||||
\(636\) | −3.40427 | − | 10.0158i | −0.00535263 | − | 0.0157480i | ||||
\(637\) | −97.5464 | − | 329.322i | −0.153134 | − | 0.516989i | ||||
\(638\) | 180.699 | + | 180.699i | 0.283227 | + | 0.283227i | ||||
\(639\) | 88.2285 | + | 36.4644i | 0.138073 | + | 0.0570648i | ||||
\(640\) | −56.5197 | − | 2.34983i | −0.0883121 | − | 0.00367161i | ||||
\(641\) | 504.465 | + | 291.253i | 0.786996 | + | 0.454372i | 0.838904 | − | 0.544279i | \(-0.183197\pi\) |
−0.0519078 | + | 0.998652i | \(0.516530\pi\) | |||||||
\(642\) | −22.8828 | − | 347.038i | −0.0356430 | − | 0.540558i | ||||
\(643\) | −111.140 | − | 111.140i | −0.172847 | − | 0.172847i | 0.615382 | − | 0.788229i | \(-0.289002\pi\) |
−0.788229 | + | 0.615382i | \(0.789002\pi\) | |||||||
\(644\) | −206.011 | − | 346.277i | −0.319893 | − | 0.537697i | ||||
\(645\) | −11.4524 | − | 471.384i | −0.0177557 | − | 0.730828i | ||||
\(646\) | −306.844 | − | 531.469i | −0.474990 | − | 0.822707i | ||||
\(647\) | 692.021 | − | 185.427i | 1.06958 | − | 0.286594i | 0.319262 | − | 0.947666i | \(-0.396565\pi\) |
0.750322 | + | 0.661072i | \(0.229898\pi\) | |||||||
\(648\) | −0.359407 | − | 229.102i | −0.000554640 | − | 0.353553i | ||||
\(649\) | −254.637 | − | 441.044i | −0.392353 | − | 0.679575i | ||||
\(650\) | −203.595 | − | 141.299i | −0.313223 | − | 0.217383i | ||||
\(651\) | −872.137 | − | 161.291i | −1.33969 | − | 0.247760i | ||||
\(652\) | −118.417 | − | 118.417i | −0.181620 | − | 0.181620i | ||||
\(653\) | 96.2164 | − | 359.084i | 0.147345 | − | 0.549900i | −0.852295 | − | 0.523062i | \(-0.824790\pi\) |
0.999640 | − | 0.0268376i | \(-0.00854371\pi\) | |||||||
\(654\) | −13.5453 | + | 68.2365i | −0.0207114 | + | 0.104337i | ||||
\(655\) | 410.664 | − | 377.880i | 0.626968 | − | 0.576916i | ||||
\(656\) | −5.98617 | − | 10.3684i | −0.00912526 | − | 0.0158054i | ||||
\(657\) | −114.305 | + | 873.528i | −0.173981 | + | 1.32957i | ||||
\(658\) | 449.034 | + | 437.433i | 0.682422 | + | 0.664792i | ||||
\(659\) | −287.718 | −0.436598 | −0.218299 | − | 0.975882i | \(-0.570051\pi\) | ||||
−0.218299 | + | 0.975882i | \(0.570051\pi\) | |||||||
\(660\) | 177.016 | + | 42.8518i | 0.268207 | + | 0.0649270i | ||||
\(661\) | 358.917 | + | 207.221i | 0.542991 | + | 0.313496i | 0.746290 | − | 0.665621i | \(-0.231833\pi\) |
−0.203299 | + | 0.979117i | \(0.565166\pi\) | |||||||
\(662\) | 134.903 | + | 503.465i | 0.203781 | + | 0.760521i | ||||
\(663\) | −35.4279 | − | 537.296i | −0.0534357 | − | 0.810401i | ||||
\(664\) | 188.394 | 0.283725 | ||||||||
\(665\) | 281.827 | + | 521.902i | 0.423799 | + | 0.784815i | ||||
\(666\) | −371.702 | − | 483.625i | −0.558111 | − | 0.726164i | ||||
\(667\) | −221.712 | + | 827.439i | −0.332401 | + | 1.24054i | ||||
\(668\) | 107.130 | + | 399.816i | 0.160375 | + | 0.598527i | ||||
\(669\) | −167.510 | + | 843.861i | −0.250389 | + | 1.26138i | ||||
\(670\) | 51.4297 | + | 229.720i | 0.0767608 | + | 0.342866i | ||||
\(671\) | −126.364 | −0.188322 | ||||||||
\(672\) | 67.3236 | + | 97.8751i | 0.100184 | + | 0.145647i | ||||
\(673\) | 257.918 | − | 257.918i | 0.383237 | − | 0.383237i | −0.489030 | − | 0.872267i | \(-0.662649\pi\) |
0.872267 | + | 0.489030i | \(0.162649\pi\) | |||||||
\(674\) | 424.870 | + | 735.897i | 0.630371 | + | 1.09184i | ||||
\(675\) | −542.211 | + | 402.035i | −0.803276 | + | 0.595608i | ||||
\(676\) | 119.867 | − | 207.616i | 0.177318 | − | 0.307124i | ||||
\(677\) | 151.079 | − | 563.836i | 0.223160 | − | 0.832845i | −0.759973 | − | 0.649955i | \(-0.774788\pi\) |
0.983133 | − | 0.182891i | \(-0.0585454\pi\) | |||||||
\(678\) | −307.303 | + | 623.765i | −0.453249 | + | 0.920007i | ||||
\(679\) | −413.926 | − | 695.754i | −0.609611 | − | 1.02467i | ||||
\(680\) | −108.175 | + | 345.594i | −0.159081 | + | 0.508226i | ||||
\(681\) | −129.178 | − | 113.196i | −0.189688 | − | 0.166221i | ||||
\(682\) | −93.8509 | − | 350.256i | −0.137611 | − | 0.513572i | ||||
\(683\) | −399.678 | + | 107.093i | −0.585180 | + | 0.156799i | −0.539249 | − | 0.842146i | \(-0.681292\pi\) |
−0.0459306 | + | 0.998945i | \(0.514625\pi\) | |||||||
\(684\) | 281.912 | + | 116.513i | 0.412152 | + | 0.170340i | ||||
\(685\) | −597.837 | + | 312.798i | −0.872755 | + | 0.456639i | ||||
\(686\) | 410.245 | − | 258.838i | 0.598025 | − | 0.377314i | ||||
\(687\) | 88.0097 | − | 178.643i | 0.128107 | − | 0.260033i | ||||
\(688\) | 121.455 | + | 32.5438i | 0.176534 | + | 0.0473020i | ||||
\(689\) | 10.7026 | + | 6.17916i | 0.0155336 | + | 0.00896830i | ||||
\(690\) | 172.291 | + | 585.708i | 0.249698 | + | 0.848852i | ||||
\(691\) | −446.192 | + | 257.609i | −0.645720 | + | 0.372806i | −0.786814 | − | 0.617190i | \(-0.788271\pi\) |
0.141095 | + | 0.989996i | \(0.454938\pi\) | |||||||
\(692\) | 350.352 | + | 350.352i | 0.506289 | + | 0.506289i | ||||
\(693\) | −151.252 | − | 351.294i | −0.218257 | − | 0.506917i | ||||
\(694\) | − | 85.1262i | − | 0.122660i | ||||||
\(695\) | 102.901 | + | 459.627i | 0.148059 | + | 0.661333i | ||||
\(696\) | 49.1747 | − | 247.725i | 0.0706533 | − | 0.355927i | ||||
\(697\) | −74.0305 | + | 19.8364i | −0.106213 | + | 0.0284597i | ||||
\(698\) | −744.164 | − | 199.398i | −1.06614 | − | 0.285671i | ||||
\(699\) | −1017.22 | + | 345.745i | −1.45525 | + | 0.494628i | ||||
\(700\) | 114.017 | − | 330.908i | 0.162881 | − | 0.472726i | ||||
\(701\) | − | 733.940i | − | 1.04699i | −0.852029 | − | 0.523495i | \(-0.824628\pi\) | ||
0.852029 | − | 0.523495i | \(-0.175372\pi\) | |||||||
\(702\) | 176.710 | + | 201.021i | 0.251723 | + | 0.286355i | ||||
\(703\) | 784.467 | − | 210.197i | 1.11588 | − | 0.299000i | ||||
\(704\) | −24.2839 | + | 42.0610i | −0.0344942 | + | 0.0597457i | ||||
\(705\) | −494.773 | − | 810.832i | −0.701806 | − | 1.15012i | ||||
\(706\) | − | 439.723i | − | 0.622837i | ||||||
\(707\) | 126.239 | + | 122.978i | 0.178556 | + | 0.173943i | ||||
\(708\) | −222.435 | + | 451.501i | −0.314174 | + | 0.637713i | ||||
\(709\) | 897.760 | − | 518.322i | 1.26623 | − | 0.731061i | 0.291961 | − | 0.956430i | \(-0.405692\pi\) |
0.974273 | + | 0.225369i | \(0.0723588\pi\) | |||||||
\(710\) | 74.9411 | + | 3.11571i | 0.105551 | + | 0.00438833i | ||||
\(711\) | 101.897 | + | 769.323i | 0.143315 | + | 1.08203i | ||||
\(712\) | 437.430 | + | 117.209i | 0.614367 | + | 0.164619i | ||||
\(713\) | 859.506 | − | 859.506i | 1.20548 | − | 1.20548i | ||||
\(714\) | 716.752 | − | 254.128i | 1.00385 | − | 0.355921i | ||||
\(715\) | −188.527 | + | 98.6401i | −0.263674 | + | 0.137958i | ||||
\(716\) | 69.2845 | − | 40.0014i | 0.0967661 | − | 0.0558679i | ||||
\(717\) | −162.413 | − | 242.861i | −0.226517 | − | 0.338719i | ||||
\(718\) | −135.209 | − | 504.606i | −0.188313 | − | 0.702793i | ||||
\(719\) | 746.305 | − | 430.879i | 1.03798 | − | 0.599276i | 0.118716 | − | 0.992928i | \(-0.462122\pi\) |
0.919259 | + | 0.393653i | \(0.128789\pi\) | |||||||
\(720\) | −62.0482 | − | 168.968i | −0.0861780 | − | 0.234677i | ||||
\(721\) | −893.259 | − | 500.254i | −1.23892 | − | 0.693834i | ||||
\(722\) | 73.8100 | − | 73.8100i | 0.102230 | − | 0.102230i | ||||
\(723\) | −10.1829 | − | 154.433i | −0.0140842 | − | 0.213600i | ||||
\(724\) | −210.145 | + | 363.981i | −0.290255 | + | 0.502737i | ||||
\(725\) | −673.077 | + | 317.279i | −0.928382 | + | 0.437626i | ||||
\(726\) | −235.274 | + | 268.491i | −0.324069 | + | 0.369823i | ||||
\(727\) | −381.491 | + | 381.491i | −0.524747 | + | 0.524747i | −0.919001 | − | 0.394255i | \(-0.871003\pi\) |
0.394255 | + | 0.919001i | \(0.371003\pi\) | |||||||
\(728\) | −134.511 | − | 34.1620i | −0.184767 | − | 0.0469258i | ||||
\(729\) | 672.850 | − | 280.560i | 0.922976 | − | 0.384856i | ||||
\(730\) | 151.217 | + | 675.439i | 0.207147 | + | 0.925259i | ||||
\(731\) | 402.466 | − | 697.092i | 0.550569 | − | 0.953614i | ||||
\(732\) | 69.4239 | + | 103.812i | 0.0948413 | + | 0.141820i | ||||
\(733\) | 137.212 | − | 512.084i | 0.187193 | − | 0.698614i | −0.806957 | − | 0.590610i | \(-0.798887\pi\) |
0.994150 | − | 0.108004i | \(-0.0344460\pi\) | |||||||
\(734\) | − | 878.081i | − | 1.19629i | ||||||
\(735\) | −699.456 | + | 225.800i | −0.951641 | + | 0.307211i | ||||
\(736\) | −162.806 | −0.221204 | ||||||||
\(737\) | 195.226 | + | 52.3106i | 0.264892 | + | 0.0709777i | ||||
\(738\) | 23.1675 | − | 30.2416i | 0.0313923 | − | 0.0409778i | ||||
\(739\) | 607.558 | + | 350.774i | 0.822135 | + | 0.474660i | 0.851152 | − | 0.524919i | \(-0.175904\pi\) |
−0.0290169 | + | 0.999579i | \(0.509238\pi\) | |||||||
\(740\) | −404.716 | − | 256.649i | −0.546913 | − | 0.346824i | ||||
\(741\) | −337.406 | + | 114.682i | −0.455339 | + | 0.154766i | ||||
\(742\) | −4.29634 | + | 16.9166i | −0.00579022 | + | 0.0227986i | ||||
\(743\) | 701.159 | + | 701.159i | 0.943687 | + | 0.943687i | 0.998497 | − | 0.0548100i | \(-0.0174553\pi\) |
−0.0548100 | + | 0.998497i | \(0.517455\pi\) | |||||||
\(744\) | −236.186 | + | 269.531i | −0.317454 | + | 0.362273i | ||||
\(745\) | −738.001 | + | 679.085i | −0.990606 | + | 0.911524i | ||||
\(746\) | −176.154 | − | 101.702i | −0.236131 | − | 0.136330i | ||||
\(747\) | 229.840 | + | 553.653i | 0.307683 | + | 0.741169i | ||||
\(748\) | 219.847 | + | 219.847i | 0.293914 | + | 0.293914i | ||||
\(749\) | −280.387 | + | 500.661i | −0.374348 | + | 0.668439i | ||||
\(750\) | −291.702 | + | 442.899i | −0.388937 | + | 0.590532i | ||||
\(751\) | −257.969 | − | 446.816i | −0.343501 | − | 0.594962i | 0.641579 | − | 0.767057i | \(-0.278280\pi\) |
−0.985080 | + | 0.172095i | \(0.944946\pi\) | |||||||
\(752\) | 244.667 | − | 65.5584i | 0.325355 | − | 0.0871787i | ||||
\(753\) | 548.389 | + | 820.025i | 0.728272 | + | 1.08901i | ||||
\(754\) | 147.526 | + | 255.522i | 0.195658 | + | 0.338889i | ||||
\(755\) | 1268.65 | + | 397.102i | 1.68033 | + | 0.525962i | ||||
\(756\) | −205.502 | + | 317.259i | −0.271828 | + | 0.419654i | ||||
\(757\) | 787.928 | + | 787.928i | 1.04086 | + | 1.04086i | 0.999129 | + | 0.0417273i | \(0.0132861\pi\) |
0.0417273 | + | 0.999129i | \(0.486714\pi\) | |||||||
\(758\) | −272.245 | + | 1016.03i | −0.359162 | + | 1.34041i | ||||
\(759\) | 514.142 | + | 102.060i | 0.677394 | + | 0.134466i | ||||
\(760\) | 239.455 | + | 9.95547i | 0.315073 | + | 0.0130993i | ||||
\(761\) | 365.742 | + | 633.485i | 0.480608 | + | 0.832437i | 0.999752 | − | 0.0222494i | \(-0.00708279\pi\) |
−0.519145 | + | 0.854686i | \(0.673749\pi\) | |||||||
\(762\) | 81.2121 | − | 164.845i | 0.106578 | − | 0.216332i | ||||
\(763\) | 80.0936 | − | 82.2177i | 0.104972 | − | 0.107756i | ||||
\(764\) | −373.481 | −0.488849 | ||||||||
\(765\) | −1147.61 | + | 103.718i | −1.50014 | + | 0.135579i | ||||
\(766\) | −224.969 | − | 129.886i | −0.293694 | − | 0.169564i | ||||
\(767\) | −152.186 | − | 567.967i | −0.198418 | − | 0.740504i | ||||
\(768\) | 47.8960 | − | 3.15813i | 0.0623646 | − | 0.00411215i | ||||
\(769\) | −1042.85 | −1.35611 | −0.678056 | − | 0.735010i | \(-0.737177\pi\) | ||||
−0.678056 | + | 0.735010i | \(0.737177\pi\) | |||||||
\(770\) | −206.350 | − | 218.446i | −0.267988 | − | 0.283696i | ||||
\(771\) | −79.4622 | + | 27.0085i | −0.103064 | + | 0.0350305i | ||||
\(772\) | 90.6193 | − | 338.196i | 0.117382 | − | 0.438077i | ||||
\(773\) | −224.563 | − | 838.080i | −0.290508 | − | 1.08419i | −0.944720 | − | 0.327879i | \(-0.893666\pi\) |
0.654211 | − | 0.756312i | \(-0.273001\pi\) | |||||||
\(774\) | 52.5348 | + | 396.637i | 0.0678744 | + | 0.512451i | ||||
\(775\) | 1052.22 | + | 87.6446i | 1.35770 | + | 0.113090i | ||||
\(776\) | −327.117 | −0.421542 | ||||||||
\(777\) | 79.3492 | + | 1003.26i | 0.102123 | + | 1.29119i | ||||
\(778\) | −433.338 | + | 433.338i | −0.556989 | + | 0.556989i | ||||
\(779\) | 25.3614 | + | 43.9273i | 0.0325564 | + | 0.0563894i | ||||
\(780\) | 184.612 | + | 100.688i | 0.236682 | + | 0.129088i | ||||
\(781\) | 32.1987 | − | 55.7699i | 0.0412276 | − | 0.0714083i | ||||
\(782\) | −269.745 | + | 1006.70i | −0.344943 | + | 1.28735i | ||||
\(783\) | 788.011 | − | 157.709i | 1.00640 | − | 0.201417i | ||||
\(784\) | −5.12889 | − | 195.933i | −0.00654195 | − | 0.249914i | ||||
\(785\) | −82.1580 | + | 42.9863i | −0.104660 | + | 0.0547597i | ||||
\(786\) | −312.084 | + | 356.145i | −0.397053 | + | 0.453110i | ||||
\(787\) | −229.482 | − | 856.438i | −0.291591 | − | 1.08823i | −0.943887 | − | 0.330268i | \(-0.892861\pi\) |
0.652296 | − | 0.757964i | \(-0.273806\pi\) | |||||||
\(788\) | −89.2707 | + | 23.9200i | −0.113288 | + | 0.0303553i | ||||
\(789\) | 136.571 | + | 119.674i | 0.173093 | + | 0.151679i | ||||
\(790\) | 282.661 | + | 540.238i | 0.357799 | + | 0.683845i | ||||
\(791\) | 985.979 | − | 586.590i | 1.24650 | − | 0.741580i | ||||
\(792\) | −153.236 | − | 20.0516i | −0.193479 | − | 0.0253176i | ||||
\(793\) | −140.927 | − | 37.7613i | −0.177714 | − | 0.0476183i | ||||
\(794\) | −463.170 | − | 267.411i | −0.583338 | − | 0.336790i | ||||
\(795\) | 12.6629 | − | 23.2175i | 0.0159282 | − | 0.0292044i | ||||
\(796\) | 68.4993 | − | 39.5481i | 0.0860544 | − | 0.0496835i | ||||
\(797\) | −820.878 | − | 820.878i | −1.02996 | − | 1.02996i | −0.999537 | − | 0.0304222i | \(-0.990315\pi\) |
−0.0304222 | − | 0.999537i | \(-0.509685\pi\) | |||||||
\(798\) | −285.228 | − | 414.665i | −0.357428 | − | 0.519630i | ||||
\(799\) | − | 1621.51i | − | 2.02942i | ||||||
\(800\) | −91.3541 | − | 107.956i | −0.114193 | − | 0.134945i | ||||
\(801\) | 189.208 | + | 1428.52i | 0.236215 | + | 1.78342i | ||||
\(802\) | 228.597 | − | 61.2524i | 0.285034 | − | 0.0763745i | ||||
\(803\) | 574.016 | + | 153.807i | 0.714839 | + | 0.191541i | ||||
\(804\) | −64.2816 | − | 189.124i | −0.0799522 | − | 0.235228i | ||||
\(805\) | 288.299 | − | 965.173i | 0.358136 | − | 1.19897i | ||||
\(806\) | − | 418.668i | − | 0.519440i | ||||||
\(807\) | 50.8969 | + | 771.898i | 0.0630692 | + | 0.956503i | ||||
\(808\) | 68.7844 | − | 18.4307i | 0.0851292 | − | 0.0228103i | ||||
\(809\) | 743.384 | − | 1287.58i | 0.918893 | − | 1.59157i | 0.117793 | − | 0.993038i | \(-0.462418\pi\) |
0.801100 | − | 0.598531i | \(-0.204249\pi\) | |||||||
\(810\) | 420.865 | − | 388.488i | 0.519586 | − | 0.479614i | ||||
\(811\) | − | 965.711i | − | 1.19077i | −0.803442 | − | 0.595383i | \(-0.797000\pi\) | ||
0.803442 | − | 0.595383i | \(-0.203000\pi\) | |||||||
\(812\) | −290.771 | + | 298.482i | −0.358093 | + | 0.367589i | ||||
\(813\) | −507.081 | − | 249.817i | −0.623716 | − | 0.307279i | ||||
\(814\) | −356.329 | + | 205.726i | −0.437750 | + | 0.252735i | ||||
\(815\) | 17.3912 | − | 418.304i | 0.0213389 | − | 0.513257i | ||||
\(816\) | 59.8284 | − | 301.395i | 0.0733191 | − | 0.369357i | ||||
\(817\) | −514.565 | − | 137.877i | −0.629823 | − | 0.168760i | ||||
\(818\) | −565.527 | + | 565.527i | −0.691353 | + | 0.691353i | ||||
\(819\) | −63.7069 | − | 436.979i | −0.0777862 | − | 0.533552i | ||||
\(820\) | 8.94094 | − | 28.5643i | 0.0109036 | − | 0.0348345i | ||||
\(821\) | 696.928 | − | 402.371i | 0.848877 | − | 0.490099i | −0.0113950 | − | 0.999935i | \(-0.503627\pi\) |
0.860272 | + | 0.509836i | \(0.170294\pi\) | |||||||
\(822\) | 475.910 | − | 318.263i | 0.578966 | − | 0.387181i | ||||
\(823\) | 75.2572 | + | 280.864i | 0.0914425 | + | 0.341268i | 0.996456 | − | 0.0841147i | \(-0.0268062\pi\) |
−0.905014 | + | 0.425383i | \(0.860140\pi\) | |||||||
\(824\) | −358.255 | + | 206.839i | −0.434776 | + | 0.251018i | ||||
\(825\) | 220.822 | + | 398.192i | 0.267663 | + | 0.482657i | ||||
\(826\) | 713.683 | − | 424.592i | 0.864023 | − | 0.514034i | ||||
\(827\) | −522.332 | + | 522.332i | −0.631599 | + | 0.631599i | −0.948469 | − | 0.316870i | \(-0.897368\pi\) |
0.316870 | + | 0.948469i | \(0.397368\pi\) | |||||||
\(828\) | −198.623 | − | 478.456i | −0.239883 | − | 0.577846i | ||||
\(829\) | −202.561 | + | 350.845i | −0.244343 | + | 0.423215i | −0.961947 | − | 0.273237i | \(-0.911906\pi\) |
0.717603 | + | 0.696452i | \(0.245239\pi\) | |||||||
\(830\) | 318.914 | + | 346.583i | 0.384234 | + | 0.417569i | ||||
\(831\) | 612.237 | + | 536.493i | 0.736748 | + | 0.645599i | ||||
\(832\) | −39.6517 | + | 39.6517i | −0.0476583 | + | 0.0476583i | ||||
\(833\) | −1220.04 | − | 292.917i | −1.46463 | − | 0.351642i | ||||
\(834\) | −128.615 | − | 378.400i | −0.154215 | − | 0.453717i | ||||
\(835\) | −554.179 | + | 873.897i | −0.663688 | + | 1.04658i | ||||
\(836\) | 102.883 | − | 178.199i | 0.123066 | − | 0.213156i | ||||
\(837\) | −1080.25 | − | 365.278i | −1.29062 | − | 0.436413i | ||||
\(838\) | −158.032 | + | 589.785i | −0.188583 | + | 0.703801i | ||||
\(839\) | − | 168.740i | − | 0.201121i | −0.994931 | − | 0.100560i | \(-0.967936\pi\) | ||
0.994931 | − | 0.100560i | \(-0.0320635\pi\) | |||||||
\(840\) | −66.0923 | + | 289.537i | −0.0786813 | + | 0.344687i | ||||
\(841\) | 44.9172 | 0.0534093 | ||||||||
\(842\) | −558.197 | − | 149.568i | −0.662941 | − | 0.177635i | ||||
\(843\) | 661.664 | − | 442.485i | 0.784892 | − | 0.524894i | ||||
\(844\) | −252.294 | − | 145.662i | −0.298926 | − | 0.172585i | ||||
\(845\) | 584.857 | − | 130.938i | 0.692138 | − | 0.154956i | ||||
\(846\) | 491.157 | + | 639.049i | 0.580563 | + | 0.755377i | ||||
\(847\) | 566.889 | − | 159.877i | 0.669291 | − | 0.188756i | ||||
\(848\) | 4.98675 | + | 4.98675i | 0.00588060 | + | 0.00588060i | ||||
\(849\) | 938.420 | + | 822.322i | 1.10532 | + | 0.968577i | ||||
\(850\) | −818.899 | + | 386.018i | −0.963411 | + | 0.454139i | ||||
\(851\) | −1194.46 | − | 689.623i | −1.40360 | − | 0.810368i | ||||
\(852\) | −63.5067 | + | 4.18746i | −0.0745384 | + | 0.00491486i | ||||
\(853\) | −291.118 | − | 291.118i | −0.341287 | − | 0.341287i | 0.515564 | − | 0.856851i | \(-0.327582\pi\) |
−0.856851 | + | 0.515564i | \(0.827582\pi\) | |||||||
\(854\) | −2.69619 | − | 206.034i | −0.00315714 | − | 0.241258i | ||||
\(855\) | 262.878 | + | 715.860i | 0.307459 | + | 0.837263i | ||||
\(856\) | 115.931 | + | 200.798i | 0.135433 | + | 0.234577i | ||||
\(857\) | −457.510 | + | 122.590i | −0.533851 | + | 0.143045i | −0.515666 | − | 0.856790i | \(-0.672455\pi\) |
−0.0181851 | + | 0.999835i | \(0.505789\pi\) | |||||||
\(858\) | 150.077 | − | 100.363i | 0.174915 | − | 0.116974i | ||||
\(859\) | 438.484 | + | 759.476i | 0.510458 | + | 0.884140i | 0.999927 | + | 0.0121188i | \(0.00385762\pi\) |
−0.489468 | + | 0.872021i | \(0.662809\pi\) | |||||||
\(860\) | 145.730 | + | 278.528i | 0.169454 | + | 0.323870i | ||||
\(861\) | −59.2414 | + | 21.0043i | −0.0688054 | + | 0.0243953i | ||||
\(862\) | 326.483 | + | 326.483i | 0.378751 | + | 0.378751i | ||||
\(863\) | −315.801 | + | 1178.59i | −0.365934 | + | 1.36568i | 0.500217 | + | 0.865900i | \(0.333254\pi\) |
−0.866150 | + | 0.499783i | \(0.833413\pi\) | |||||||
\(864\) | 67.7141 | + | 136.904i | 0.0783728 | + | 0.158454i | ||||
\(865\) | −51.4543 | + | 1237.61i | −0.0594847 | + | 1.43076i | ||||
\(866\) | 135.145 | + | 234.079i | 0.156057 | + | 0.270299i | ||||
\(867\) | −986.798 | − | 486.154i | −1.13818 | − | 0.560731i | ||||
\(868\) | 569.085 | − | 160.496i | 0.655628 | − | 0.184903i | ||||
\(869\) | 523.482 | 0.602395 | ||||||||
\(870\) | 538.977 | − | 328.886i | 0.619514 | − | 0.378030i | ||||
\(871\) | 202.093 | + | 116.679i | 0.232024 | + | 0.133959i | ||||
\(872\) | −12.0037 | − | 44.7983i | −0.0137657 | − | 0.0513742i | ||||
\(873\) | −399.082 | − | 961.335i | −0.457138 | − | 1.10119i | ||||
\(874\) | 689.756 | 0.789194 | ||||||||
\(875\) | 801.771 | − | 350.411i | 0.916310 | − | 0.400470i | ||||
\(876\) | −189.005 | − | 556.074i | −0.215759 | − | 0.634788i | ||||
\(877\) | 48.3962 | − | 180.617i | 0.0551838 | − | 0.205949i | −0.932829 | − | 0.360318i | \(-0.882668\pi\) |
0.988013 | + | 0.154370i | \(0.0493347\pi\) | |||||||
\(878\) | −226.113 | − | 843.865i | −0.257532 | − | 0.961121i | ||||
\(879\) | 65.1707 | + | 12.9367i | 0.0741418 | + | 0.0147175i | ||||
\(880\) | −118.486 | + | 26.5267i | −0.134644 | + | 0.0301440i | ||||
\(881\) | −948.872 | −1.07704 | −0.538520 | − | 0.842613i | \(-0.681016\pi\) | ||||
−0.538520 | + | 0.842613i | \(0.681016\pi\) | |||||||
\(882\) | 569.552 | − | 254.110i | 0.645751 | − | 0.288107i | ||||
\(883\) | 499.125 | − | 499.125i | 0.565260 | − | 0.565260i | −0.365537 | − | 0.930797i | \(-0.619115\pi\) |
0.930797 | + | 0.365537i | \(0.119115\pi\) | |||||||
\(884\) | 179.488 | + | 310.881i | 0.203040 | + | 0.351676i | ||||
\(885\) | −1207.15 | + | 355.096i | −1.36402 | + | 0.401238i | ||||
\(886\) | 271.095 | − | 469.550i | 0.305976 | − | 0.529966i | ||||
\(887\) | 70.7362 | − | 263.991i | 0.0797476 | − | 0.297622i | −0.914520 | − | 0.404540i | \(-0.867432\pi\) |
0.994268 | + | 0.106918i | \(0.0340982\pi\) | |||||||
\(888\) | 364.777 | + | 179.710i | 0.410785 | + | 0.202376i | ||||
\(889\) | −260.568 | + | 155.020i | −0.293103 | + | 0.174376i | ||||
\(890\) | 524.858 | + | 1003.14i | 0.589729 | + | 1.12712i | ||||
\(891\) | −128.019 | − | 474.793i | −0.143680 | − | 0.532877i | ||||
\(892\) | −148.446 | − | 554.007i | −0.166419 | − | 0.621085i | ||||
\(893\) | −1036.57 | + | 277.749i | −1.16078 | + | 0.311029i | ||||
\(894\) | 560.843 | − | 640.025i | 0.627341 | − | 0.715912i | ||||
\(895\) | 190.875 | + | 59.7461i | 0.213268 | + | 0.0667554i | ||||
\(896\) | −69.0980 | − | 38.6971i | −0.0771183 | − | 0.0431888i | ||||
\(897\) | 542.898 | + | 267.463i | 0.605238 | + | 0.298175i | ||||
\(898\) | 52.5999 | + | 14.0941i | 0.0585745 | + | 0.0156950i | ||||
\(899\) | −1088.67 | − | 628.543i | −1.21098 | − | 0.699158i | ||||
\(900\) | 205.809 | − | 400.178i | 0.228677 | − | 0.444642i | ||||
\(901\) | 39.0976 | − | 22.5730i | 0.0433936 | − | 0.0250533i | ||||
\(902\) | −18.1710 | − | 18.1710i | −0.0201452 | − | 0.0201452i | ||||
\(903\) | 283.963 | − | 595.936i | 0.314467 | − | 0.659951i | ||||
\(904\) | − | 463.570i | − | 0.512798i | ||||||
\(905\) | −1025.34 | + | 229.553i | −1.13297 | + | 0.253650i | ||||
\(906\) | −1106.40 | − | 219.625i | −1.22119 | − | 0.242412i | ||||
\(907\) | 0.465083 | − | 0.124619i | 0.000512770 | − | 0.000137396i | −0.258563 | − | 0.965994i | \(-0.583249\pi\) |
0.259075 | + | 0.965857i | \(0.416582\pi\) | |||||||
\(908\) | 110.603 | + | 29.6359i | 0.121809 | + | 0.0326386i | ||||
\(909\) | 138.081 | + | 179.659i | 0.151905 | + | 0.197645i | ||||
\(910\) | −164.854 | − | 305.285i | −0.181158 | − | 0.335478i | ||||
\(911\) | 67.9841i | 0.0746257i | 0.999304 | + | 0.0373129i | \(0.0118798\pi\) | ||||
−0.999304 | + | 0.0373129i | \(0.988120\pi\) | |||||||
\(912\) | −202.920 | + | 13.3800i | −0.222500 | + | 0.0146710i | ||||
\(913\) | 390.592 | − | 104.659i | 0.427812 | − | 0.114632i | ||||
\(914\) | 452.074 | − | 783.015i | 0.494610 | − | 0.856690i | ||||
\(915\) | −73.4588 | + | 303.451i | −0.0802829 | + | 0.331641i | ||||
\(916\) | 132.764i | 0.144938i | ||||||||
\(917\) | 751.960 | − | 212.071i | 0.820022 | − | 0.231266i | ||||
\(918\) | 958.734 | − | 191.877i | 1.04437 | − | 0.209016i | ||||
\(919\) | −170.595 | + | 98.4931i | −0.185631 | + | 0.107174i | −0.589936 | − | 0.807450i | \(-0.700847\pi\) |
0.404305 | + | 0.914624i | \(0.367514\pi\) | |||||||
\(920\) | −275.599 | − | 299.510i | −0.299565 | − | 0.325554i | ||||
\(921\) | 925.990 | + | 183.813i | 1.00542 | + | 0.199580i | ||||
\(922\) | 194.423 | + | 52.0956i | 0.210871 | + | 0.0565028i | ||||
\(923\) | 52.5753 | − | 52.5753i | 0.0569614 | − | 0.0569614i | ||||
\(924\) | 193.953 | + | 165.522i | 0.209906 | + | 0.179136i | ||||
\(925\) | −212.955 | − | 1179.00i | −0.230222 | − | 1.27460i | ||||
\(926\) | 107.706 | − | 62.1843i | 0.116314 | − | 0.0671536i | ||||
\(927\) | −1044.93 | − | 800.502i | −1.12722 | − | 0.863540i | ||||
\(928\) | 43.5781 | + | 162.635i | 0.0469591 | + | 0.175254i | ||||
\(929\) | 830.397 | − | 479.430i | 0.893861 | − | 0.516071i | 0.0186573 | − | 0.999826i | \(-0.494061\pi\) |
0.875203 | + | 0.483755i | \(0.160728\pi\) | |||||||
\(930\) | −895.667 | + | 21.7605i | −0.963082 | + | 0.0233984i | ||||
\(931\) | 21.7294 | + | 830.103i | 0.0233399 | + | 0.891625i | ||||
\(932\) | 506.464 | − | 506.464i | 0.543416 | − | 0.543416i | ||||
\(933\) | 554.647 | − | 36.5720i | 0.594477 | − | 0.0391983i | ||||
\(934\) | −393.703 | + | 681.914i | −0.421524 | + | 0.730100i | ||||
\(935\) | −32.2878 | + | 776.607i | −0.0345324 | + | 0.830595i | ||||
\(936\) | −164.904 | − | 68.1539i | −0.176179 | − | 0.0728140i | ||||
\(937\) | 814.574 | − | 814.574i | 0.869342 | − | 0.869342i | −0.123057 | − | 0.992400i | \(-0.539270\pi\) |
0.992400 | + | 0.123057i | \(0.0392699\pi\) | |||||||
\(938\) | −81.1262 | + | 319.429i | −0.0864885 | + | 0.340543i | ||||
\(939\) | −257.160 | + | 87.4066i | −0.273866 | + | 0.0930848i | ||||
\(940\) | 534.781 | + | 339.130i | 0.568916 | + | 0.360776i | ||||
\(941\) | −305.395 | + | 528.960i | −0.324543 | + | 0.562126i | −0.981420 | − | 0.191873i | \(-0.938544\pi\) |
0.656876 | + | 0.753998i | \(0.271877\pi\) | |||||||
\(942\) | 65.4021 | − | 43.7374i | 0.0694289 | − | 0.0464303i | ||||
\(943\) | 22.2952 | − | 83.2068i | 0.0236428 | − | 0.0882362i | ||||
\(944\) | − | 335.546i | − | 0.355452i | ||||||
\(945\) | −931.527 | + | 159.002i | −0.985743 | + | 0.168256i | ||||
\(946\) | 269.889 | 0.285295 | ||||||||
\(947\) | −859.188 | − | 230.219i | −0.907274 | − | 0.243103i | −0.225136 | − | 0.974327i | \(-0.572283\pi\) |
−0.682137 | + | 0.731224i | \(0.738949\pi\) | |||||||
\(948\) | −287.599 | − | 430.057i | −0.303375 | − | 0.453647i | ||||
\(949\) | 594.208 | + | 343.066i | 0.626141 | + | 0.361503i | ||||
\(950\) | 387.037 | + | 457.372i | 0.407408 | + | 0.481445i | ||||
\(951\) | −450.733 | − | 1326.11i | −0.473956 | − | 1.39443i | ||||
\(952\) | −353.767 | + | 363.149i | −0.371604 | + | 0.381459i | ||||
\(953\) | −803.438 | − | 803.438i | −0.843062 | − | 0.843062i | 0.146194 | − | 0.989256i | \(-0.453298\pi\) |
−0.989256 | + | 0.146194i | \(0.953298\pi\) | |||||||
\(954\) | −8.57129 | + | 20.7389i | −0.00898458 | + | 0.0217389i | ||||
\(955\) | −632.232 | − | 687.083i | −0.662023 | − | 0.719458i | ||||
\(956\) | 168.681 | + | 97.3879i | 0.176444 | + | 0.101870i | ||||
\(957\) | −35.6670 | − | 540.922i | −0.0372695 | − | 0.565227i | ||||
\(958\) | −37.9734 | − | 37.9734i | −0.0396382 | − | 0.0396382i | ||||
\(959\) | −944.532 | + | 12.3603i | −0.984914 | + | 0.0128887i | ||||
\(960\) | 86.8887 | + | 82.7669i | 0.0905091 | + | 0.0862155i | ||||
\(961\) | 411.380 | + | 712.532i | 0.428075 | + | 0.741448i | ||||
\(962\) | −458.872 | + | 122.954i | −0.476998 | + | 0.127811i | ||||
\(963\) | −448.672 | + | 585.671i | −0.465910 | + | 0.608173i | ||||
\(964\) | 51.5893 | + | 89.3554i | 0.0535159 | + | 0.0926923i | ||||
\(965\) | 775.571 | − | 405.791i | 0.803700 | − | 0.420509i | ||||
\(966\) | −155.437 | + | 840.479i | −0.160908 | + | 0.870062i | ||||
\(967\) | −986.143 | − | 986.143i | −1.01980 | − | 1.01980i | −0.999800 | − | 0.0199960i | \(-0.993635\pi\) |
−0.0199960 | − | 0.999800i | \(-0.506365\pi\) | |||||||
\(968\) | 61.5971 | − | 229.884i | 0.0636334 | − | 0.237483i | ||||
\(969\) | −253.473 | + | 1276.91i | −0.261582 | + | 1.31776i | ||||
\(970\) | −553.746 | − | 601.788i | −0.570873 | − | 0.620400i | ||||
\(971\) | 196.313 | + | 340.023i | 0.202176 | + | 0.350178i | 0.949229 | − | 0.314585i | \(-0.101865\pi\) |
−0.747054 | + | 0.664764i | \(0.768532\pi\) | |||||||
\(972\) | −319.725 | + | 366.022i | −0.328935 | + | 0.376566i | ||||
\(973\) | −162.318 | + | 639.116i | −0.166822 | + | 0.656851i | ||||
\(974\) | −687.153 | −0.705496 | ||||||||
\(975\) | 127.279 | + | 510.072i | 0.130543 | + | 0.523151i | ||||
\(976\) | −72.1032 | − | 41.6288i | −0.0738762 | − | 0.0426524i | ||||
\(977\) | −98.8089 | − | 368.760i | −0.101135 | − | 0.377441i | 0.896743 | − | 0.442552i | \(-0.145927\pi\) |
−0.997878 | + | 0.0651106i | \(0.979260\pi\) | |||||||
\(978\) | 23.3735 | + | 354.480i | 0.0238992 | + | 0.362454i | ||||
\(979\) | 972.026 | 0.992877 | ||||||||
\(980\) | 351.770 | − | 341.112i | 0.358949 | − | 0.348074i | ||||
\(981\) | 117.009 | − | 89.9303i | 0.119276 | − | 0.0916721i | ||||
\(982\) | −62.4695 | + | 233.139i | −0.0636145 | + | 0.237413i | ||||
\(983\) | 88.3977 | + | 329.905i | 0.0899265 | + | 0.335610i | 0.996201 | − | 0.0870784i | \(-0.0277531\pi\) |
−0.906275 | + | 0.422689i | \(0.861086\pi\) | |||||||
\(984\) | −4.94498 | + | 24.9111i | −0.00502538 | + | 0.0253162i | ||||
\(985\) | −195.123 | − | 123.737i | −0.198095 | − | 0.125621i | ||||
\(986\) | 1077.85 | 1.09316 | ||||||||
\(987\) | −104.850 | − | 1325.67i | −0.106231 | − | 1.34314i | ||||
\(988\) | 167.991 | − | 167.991i | 0.170032 | − | 0.170032i | ||||
\(989\) | 452.353 | + | 783.498i | 0.457384 | + | 0.792212i | ||||
\(990\) | −222.510 | − | 315.847i | −0.224758 | − | 0.319037i | ||||
\(991\) | 84.4327 | − | 146.242i | 0.0851995 | − | 0.147570i | −0.820277 | − | 0.571967i | \(-0.806181\pi\) |
0.905476 | + | 0.424397i | \(0.139514\pi\) | |||||||
\(992\) | 61.8357 | − | 230.774i | 0.0623344 | − | 0.232635i | ||||
\(993\) | 488.643 | − | 991.851i | 0.492088 | − | 0.998843i | ||||
\(994\) | 91.6190 | + | 51.3097i | 0.0921720 | + | 0.0516194i | ||||
\(995\) | 188.712 | + | 59.0690i | 0.189660 | + | 0.0593658i | ||||
\(996\) | −300.571 | − | 263.385i | −0.301778 | − | 0.264443i | ||||
\(997\) | 308.807 | + | 1152.49i | 0.309737 | + | 1.15595i | 0.928791 | + | 0.370605i | \(0.120850\pi\) |
−0.619054 | + | 0.785348i | \(0.712484\pi\) | |||||||
\(998\) | 12.1857 | − | 3.26514i | 0.0122101 | − | 0.00327169i | ||||
\(999\) | −83.1077 | + | 1291.26i | −0.0831909 | + | 1.29255i |
(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.17.6 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.a.17.8 | ✓ | 64 | ||
5.3 | odd | 4 | 210.3.w.a.143.14 | yes | 64 | ||
7.5 | odd | 6 | inner | 210.3.w.b.47.1 | yes | 64 | |
15.8 | even | 4 | inner | 210.3.w.b.143.1 | yes | 64 | |
21.5 | even | 6 | 210.3.w.a.47.14 | yes | 64 | ||
35.33 | even | 12 | 210.3.w.a.173.8 | yes | 64 | ||
105.68 | odd | 12 | inner | 210.3.w.b.173.6 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.8 | ✓ | 64 | 3.2 | odd | 2 | ||
210.3.w.a.47.14 | yes | 64 | 21.5 | even | 6 | ||
210.3.w.a.143.14 | yes | 64 | 5.3 | odd | 4 | ||
210.3.w.a.173.8 | yes | 64 | 35.33 | even | 12 | ||
210.3.w.b.17.6 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.b.47.1 | yes | 64 | 7.5 | odd | 6 | inner | |
210.3.w.b.143.1 | yes | 64 | 15.8 | even | 4 | inner | |
210.3.w.b.173.6 | yes | 64 | 105.68 | odd | 12 | inner |