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 | 143.1 | ||
Character | \(\chi\) | \(=\) | 210.143 |
Dual form | 210.3.w.b.47.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.366025 | + | 1.36603i | −0.183013 | + | 0.683013i | ||||
\(3\) | −2.99350 | − | 0.197383i | −0.997833 | − | 0.0657945i | ||||
\(4\) | −1.73205 | − | 1.00000i | −0.433013 | − | 0.250000i | ||||
\(5\) | −3.67935 | − | 3.38562i | −0.735869 | − | 0.677124i | ||||
\(6\) | 1.36533 | − | 4.01695i | 0.227555 | − | 0.669492i | ||||
\(7\) | 6.78461 | + | 1.72310i | 0.969230 | + | 0.246158i | ||||
\(8\) | 2.00000 | − | 2.00000i | 0.250000 | − | 0.250000i | ||||
\(9\) | 8.92208 | + | 1.18173i | 0.991342 | + | 0.131304i | ||||
\(10\) | 5.97157 | − | 3.78686i | 0.597157 | − | 0.378686i | ||||
\(11\) | −5.25762 | − | 3.03549i | −0.477966 | − | 0.275954i | 0.241603 | − | 0.970375i | \(-0.422327\pi\) |
−0.719568 | + | 0.694422i | \(0.755660\pi\) | |||||||
\(12\) | 4.98751 | + | 3.33538i | 0.415626 | + | 0.277948i | ||||
\(13\) | −4.95646 | + | 4.95646i | −0.381266 | + | 0.381266i | −0.871558 | − | 0.490292i | \(-0.836890\pi\) |
0.490292 | + | 0.871558i | \(0.336890\pi\) | |||||||
\(14\) | −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 | ||||
\(17\) | 6.62741 | + | 24.7338i | 0.389847 | + | 1.45493i | 0.830382 | + | 0.557195i | \(0.188122\pi\) |
−0.440534 | + | 0.897736i | \(0.645211\pi\) | |||||||
\(18\) | −4.87999 | + | 11.7552i | −0.271110 | + | 0.653069i | ||||
\(19\) | 8.47334 | + | 14.6763i | 0.445965 | + | 0.772435i | 0.998119 | − | 0.0613078i | \(-0.0195271\pi\) |
−0.552154 | + | 0.833742i | \(0.686194\pi\) | |||||||
\(20\) | 2.98720 | + | 9.54341i | 0.149360 | + | 0.477170i | ||||
\(21\) | −19.9696 | − | 6.49728i | −0.950934 | − | 0.309394i | ||||
\(22\) | 6.07098 | − | 6.07098i | 0.275954 | − | 0.275954i | ||||
\(23\) | 27.7996 | + | 7.44889i | 1.20868 | + | 0.323865i | 0.806244 | − | 0.591583i | \(-0.201497\pi\) |
0.402436 | + | 0.915448i | \(0.368163\pi\) | |||||||
\(24\) | −6.38177 | + | 5.59223i | −0.265907 | + | 0.233010i | ||||
\(25\) | 2.07519 | + | 24.9137i | 0.0830074 | + | 0.996549i | ||||
\(26\) | −4.95646 | − | 8.58484i | −0.190633 | − | 0.330186i | ||||
\(27\) | −26.4750 | − | 5.29859i | −0.980555 | − | 0.196244i | ||||
\(28\) | −10.0282 | − | 9.76911i | −0.358149 | − | 0.348897i | ||||
\(29\) | 29.7644 | 1.02636 | 0.513179 | − | 0.858282i | \(-0.328468\pi\) | ||||
0.513179 | + | 0.858282i | \(0.328468\pi\) | |||||||
\(30\) | −18.6234 | + | 10.1573i | −0.620779 | + | 0.338576i | ||||
\(31\) | −36.5762 | − | 21.1173i | −1.17988 | − | 0.681203i | −0.223892 | − | 0.974614i | \(-0.571876\pi\) |
−0.955986 | + | 0.293411i | \(0.905210\pi\) | |||||||
\(32\) | −5.46410 | + | 1.46410i | −0.170753 | + | 0.0457532i | ||||
\(33\) | 15.1395 | + | 10.1245i | 0.458774 | + | 0.306803i | ||||
\(34\) | −36.2128 | −1.06508 | ||||||||
\(35\) | −19.1292 | − | 29.3100i | −0.546547 | − | 0.837428i | ||||
\(36\) | −14.2718 | − | 10.9689i | −0.396438 | − | 0.304692i | ||||
\(37\) | 46.2903 | + | 12.4034i | 1.25109 | + | 0.335228i | 0.822757 | − | 0.568393i | \(-0.192435\pi\) |
0.428332 | + | 0.903621i | \(0.359101\pi\) | |||||||
\(38\) | −23.1496 | + | 6.20292i | −0.609200 | + | 0.163235i | ||||
\(39\) | 15.8155 | − | 13.8588i | 0.405525 | − | 0.355355i | ||||
\(40\) | −14.1299 | + | 0.587458i | −0.353248 | + | 0.0146865i | ||||
\(41\) | 2.99309 | 0.0730021 | 0.0365011 | − | 0.999334i | \(-0.488379\pi\) | ||||
0.0365011 | + | 0.999334i | \(0.488379\pi\) | |||||||
\(42\) | 16.1848 | − | 24.9008i | 0.385353 | − | 0.592877i | ||||
\(43\) | 22.2278 | + | 22.2278i | 0.516926 | + | 0.516926i | 0.916640 | − | 0.399714i | \(-0.130891\pi\) |
−0.399714 | + | 0.916640i | \(0.630891\pi\) | |||||||
\(44\) | 6.07098 | + | 10.5152i | 0.137977 | + | 0.238983i | ||||
\(45\) | −28.8265 | − | 34.5548i | −0.640589 | − | 0.767884i | ||||
\(46\) | −20.3508 | + | 35.2485i | −0.442408 | + | 0.766273i | ||||
\(47\) | 61.1668 | + | 16.3896i | 1.30142 | + | 0.348715i | 0.841987 | − | 0.539498i | \(-0.181386\pi\) |
0.459434 | + | 0.888212i | \(0.348052\pi\) | |||||||
\(48\) | −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 | ||||
\(51\) | −14.9571 | − | 75.3488i | −0.293276 | − | 1.47743i | ||||
\(52\) | 13.5413 | − | 3.62838i | 0.260410 | − | 0.0697766i | ||||
\(53\) | −0.456319 | − | 1.70301i | −0.00860980 | − | 0.0321322i | 0.961487 | − | 0.274849i | \(-0.0886280\pi\) |
−0.970097 | + | 0.242717i | \(0.921961\pi\) | |||||||
\(54\) | 16.9285 | − | 34.2261i | 0.313491 | − | 0.633816i | ||||
\(55\) | 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 | ||||
\(58\) | −10.8945 | + | 40.6589i | −0.187836 | + | 0.701015i | ||||
\(59\) | −72.6479 | − | 41.9433i | −1.23132 | − | 0.710903i | −0.264015 | − | 0.964519i | \(-0.585047\pi\) |
−0.967305 | + | 0.253615i | \(0.918380\pi\) | |||||||
\(60\) | −7.05847 | − | 29.1578i | −0.117641 | − | 0.485964i | ||||
\(61\) | −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 | ||||
\(63\) | 58.4966 | + | 23.3913i | 0.928517 | + | 0.371290i | ||||
\(64\) | − | 8.00000i | − | 0.125000i | ||||||
\(65\) | 35.0172 | − | 1.45586i | 0.538727 | − | 0.0223978i | ||||
\(66\) | −19.3718 | + | 16.9752i | −0.293512 | + | 0.257199i | ||||
\(67\) | −8.61650 | − | 32.1572i | −0.128604 | − | 0.479958i | 0.871338 | − | 0.490683i | \(-0.163253\pi\) |
−0.999942 | + | 0.0107249i | \(0.996586\pi\) | |||||||
\(68\) | 13.2548 | − | 49.4676i | 0.194924 | − | 0.727465i | ||||
\(69\) | −81.7479 | − | 27.7854i | −1.18475 | − | 0.402688i | ||||
\(70\) | 47.0399 | − | 15.4027i | 0.671999 | − | 0.220039i | ||||
\(71\) | 10.6074i | 0.149400i | 0.997206 | + | 0.0747002i | \(0.0238000\pi\) | ||||
−0.997206 | + | 0.0747002i | \(0.976200\pi\) | |||||||
\(72\) | 20.2076 | − | 15.4807i | 0.280661 | − | 0.215010i | ||||
\(73\) | 25.3348 | + | 94.5508i | 0.347052 | + | 1.29522i | 0.890197 | + | 0.455577i | \(0.150567\pi\) |
−0.543145 | + | 0.839639i | \(0.682766\pi\) | |||||||
\(74\) | −33.8869 | + | 58.6937i | −0.457930 | + | 0.793159i | ||||
\(75\) | −1.29451 | − | 74.9888i | −0.0172602 | − | 0.999851i | ||||
\(76\) | − | 33.8934i | − | 0.445965i | ||||||
\(77\) | −30.4404 | − | 29.6540i | −0.395330 | − | 0.385117i | ||||
\(78\) | 13.1427 | + | 26.6771i | 0.168496 | + | 0.342013i | ||||
\(79\) | −74.6747 | + | 43.1134i | −0.945249 | + | 0.545740i | −0.891602 | − | 0.452820i | \(-0.850418\pi\) |
−0.0536472 | + | 0.998560i | \(0.517085\pi\) | |||||||
\(80\) | 4.36943 | − | 19.5169i | 0.0546179 | − | 0.243961i | ||||
\(81\) | 78.2070 | + | 21.0871i | 0.965519 | + | 0.260334i | ||||
\(82\) | −1.09555 | + | 4.08863i | −0.0133603 | + | 0.0498614i | ||||
\(83\) | −47.0984 | − | 47.0984i | −0.567450 | − | 0.567450i | 0.363963 | − | 0.931413i | \(-0.381423\pi\) |
−0.931413 | + | 0.363963i | \(0.881423\pi\) | |||||||
\(84\) | 28.0911 | + | 31.2232i | 0.334418 | + | 0.371705i | ||||
\(85\) | 59.3547 | − | 113.442i | 0.698291 | − | 1.33461i | ||||
\(86\) | −38.4997 | + | 22.2278i | −0.447671 | + | 0.258463i | ||||
\(87\) | −89.0996 | − | 5.87499i | −1.02413 | − | 0.0675286i | ||||
\(88\) | −16.5862 | + | 4.44427i | −0.188480 | + | 0.0505030i | ||||
\(89\) | 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 | ||||
\(93\) | 105.323 | + | 70.4342i | 1.13250 | + | 0.757357i | ||||
\(94\) | −44.7772 | + | 77.5564i | −0.476353 | + | 0.825068i | ||||
\(95\) | 18.5118 | − | 82.6865i | 0.194861 | − | 0.870385i | ||||
\(96\) | 16.6458 | − | 3.30426i | 0.173393 | − | 0.0344194i | ||||
\(97\) | 81.7792 | + | 81.7792i | 0.843085 | + | 0.843085i | 0.989259 | − | 0.146174i | \(-0.0466960\pi\) |
−0.146174 | + | 0.989259i | \(0.546696\pi\) | |||||||
\(98\) | −47.7010 | + | 50.2654i | −0.486745 | + | 0.512913i | ||||
\(99\) | −43.3218 | − | 33.2960i | −0.437594 | − | 0.336323i | ||||
\(100\) | 21.3194 | − | 45.2270i | 0.213194 | − | 0.452270i | ||||
\(101\) | −12.5884 | + | 21.8038i | −0.124638 | + | 0.215879i | −0.921591 | − | 0.388162i | \(-0.873110\pi\) |
0.796953 | + | 0.604041i | \(0.206444\pi\) | |||||||
\(102\) | 108.403 | + | 7.14781i | 1.06278 | + | 0.0700766i | ||||
\(103\) | −141.274 | − | 37.8541i | −1.37159 | − | 0.367516i | −0.503529 | − | 0.863978i | \(-0.667965\pi\) |
−0.868058 | + | 0.496462i | \(0.834632\pi\) | |||||||
\(104\) | 19.8258i | 0.190633i | ||||||||
\(105\) | 51.4778 | + | 91.5152i | 0.490265 | + | 0.871573i | ||||
\(106\) | 2.49337 | 0.0235224 | ||||||||
\(107\) | −21.2168 | + | 79.1821i | −0.198288 | + | 0.740020i | 0.793104 | + | 0.609087i | \(0.208464\pi\) |
−0.991391 | + | 0.130933i | \(0.958203\pi\) | |||||||
\(108\) | 40.5574 | + | 35.6524i | 0.375532 | + | 0.330115i | ||||
\(109\) | 14.2005 | + | 8.19866i | 0.130280 | + | 0.0752171i | 0.563723 | − | 0.825964i | \(-0.309368\pi\) |
−0.433444 | + | 0.901181i | \(0.642702\pi\) | |||||||
\(110\) | −42.8913 | + | 1.78322i | −0.389920 | + | 0.0162111i | ||||
\(111\) | −136.122 | − | 46.2667i | −1.22632 | − | 0.416817i | ||||
\(112\) | 7.60021 | + | 26.9488i | 0.0678590 | + | 0.240614i | ||||
\(113\) | −115.892 | + | 115.892i | −1.02560 | + | 1.02560i | −0.0259326 | + | 0.999664i | \(0.508256\pi\) |
−0.999664 | + | 0.0259326i | \(0.991744\pi\) | |||||||
\(114\) | 70.5227 | − | 13.9991i | 0.618620 | − | 0.122799i | ||||
\(115\) | −77.0654 | − | 121.526i | −0.670134 | − | 1.05675i | ||||
\(116\) | −51.5534 | − | 29.7644i | −0.444426 | − | 0.256589i | ||||
\(117\) | −50.0792 | + | 38.3647i | −0.428027 | + | 0.327904i | ||||
\(118\) | 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 | ||||
\(122\) | −7.61860 | − | 28.4330i | −0.0624475 | − | 0.233057i | ||||
\(123\) | −8.95980 | − | 0.590786i | −0.0728439 | − | 0.00480314i | ||||
\(124\) | 42.2346 | + | 73.1525i | 0.340602 | + | 0.589939i | ||||
\(125\) | 76.7130 | − | 98.6920i | 0.613704 | − | 0.789536i | ||||
\(126\) | −53.3643 | + | 71.3460i | −0.423526 | + | 0.566238i | ||||
\(127\) | 30.6273 | − | 30.6273i | 0.241160 | − | 0.241160i | −0.576170 | − | 0.817330i | \(-0.695453\pi\) |
0.817330 | + | 0.576170i | \(0.195453\pi\) | |||||||
\(128\) | 10.9282 | + | 2.92820i | 0.0853766 | + | 0.0228766i | ||||
\(129\) | −62.1516 | − | 70.9264i | −0.481795 | − | 0.549817i | ||||
\(130\) | −10.8285 | + | 48.3673i | −0.0832958 | + | 0.372056i | ||||
\(131\) | 55.8066 | + | 96.6599i | 0.426005 | + | 0.737862i | 0.996514 | − | 0.0834295i | \(-0.0265873\pi\) |
−0.570509 | + | 0.821291i | \(0.693254\pi\) | |||||||
\(132\) | −16.0979 | − | 32.6757i | −0.121954 | − | 0.247543i | ||||
\(133\) | 32.1996 | + | 114.173i | 0.242102 | + | 0.858444i | ||||
\(134\) | 47.0814 | 0.351354 | ||||||||
\(135\) | 79.4717 | + | 109.130i | 0.588679 | + | 0.808367i | ||||
\(136\) | 62.7225 | + | 36.2128i | 0.461195 | + | 0.266271i | ||||
\(137\) | −130.347 | + | 34.9263i | −0.951435 | + | 0.254936i | −0.700971 | − | 0.713190i | \(-0.747250\pi\) |
−0.250464 | + | 0.968126i | \(0.580583\pi\) | |||||||
\(138\) | 67.8775 | − | 101.500i | 0.491866 | − | 0.735504i | ||||
\(139\) | −94.2009 | −0.677704 | −0.338852 | − | 0.940840i | \(-0.610039\pi\) | ||||
−0.338852 | + | 0.940840i | \(0.610039\pi\) | |||||||
\(140\) | 3.82268 | + | 69.8955i | 0.0273049 | + | 0.499254i | ||||
\(141\) | −179.868 | − | 61.1355i | −1.27566 | − | 0.433585i | ||||
\(142\) | −14.4900 | − | 3.88259i | −0.102042 | − | 0.0273422i | ||||
\(143\) | 41.1045 | − | 11.0139i | 0.287444 | − | 0.0770204i | ||||
\(144\) | 13.7505 | + | 33.2705i | 0.0954897 | + | 0.231045i | ||||
\(145\) | −109.513 | − | 100.771i | −0.755265 | − | 0.694971i | ||||
\(146\) | −138.432 | −0.948164 | ||||||||
\(147\) | −124.290 | − | 78.4912i | −0.845514 | − | 0.533954i | ||||
\(148\) | −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 | \(0.598302\pi\) | |||||||
\(150\) | 102.910 | + | 25.6795i | 0.686070 | + | 0.171197i | ||||
\(151\) | 132.934 | − | 230.249i | 0.880361 | − | 1.52483i | 0.0294207 | − | 0.999567i | \(-0.490634\pi\) |
0.850940 | − | 0.525263i | \(-0.176033\pi\) | |||||||
\(152\) | 46.2992 | + | 12.4058i | 0.304600 | + | 0.0816173i | ||||
\(153\) | 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 | ||||
\(156\) | −41.2521 | + | 8.18873i | −0.264436 | + | 0.0524919i | ||||
\(157\) | 17.9129 | − | 4.79975i | 0.114095 | − | 0.0305717i | −0.201320 | − | 0.979526i | \(-0.564523\pi\) |
0.315415 | + | 0.948954i | \(0.397856\pi\) | |||||||
\(158\) | −31.5612 | − | 117.788i | −0.199755 | − | 0.745494i | ||||
\(159\) | 1.02985 | + | 5.18802i | 0.00647702 | + | 0.0326291i | ||||
\(160\) | 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 | ||||
\(163\) | 21.6717 | − | 80.8800i | 0.132955 | − | 0.496196i | −0.867043 | − | 0.498234i | \(-0.833982\pi\) |
0.999998 | + | 0.00203783i | \(0.000648661\pi\) | |||||||
\(164\) | −5.18418 | − | 2.99309i | −0.0316108 | − | 0.0182505i | ||||
\(165\) | −21.4259 | − | 88.5082i | −0.129854 | − | 0.536414i | ||||
\(166\) | 81.5768 | − | 47.0984i | 0.491427 | − | 0.283725i | ||||
\(167\) | −146.343 | + | 146.343i | −0.876304 | + | 0.876304i | −0.993150 | − | 0.116846i | \(-0.962722\pi\) |
0.116846 | + | 0.993150i | \(0.462722\pi\) | |||||||
\(168\) | −52.9338 | + | 26.9447i | −0.315082 | + | 0.160385i | ||||
\(169\) | 119.867i | 0.709272i | ||||||||
\(170\) | 133.240 | + | 122.603i | 0.783762 | + | 0.721193i | ||||
\(171\) | 58.2564 | + | 140.956i | 0.340681 | + | 0.824304i | ||||
\(172\) | −16.2719 | − | 60.7275i | −0.0946040 | − | 0.353067i | ||||
\(173\) | 64.1188 | − | 239.295i | 0.370629 | − | 1.38321i | −0.488998 | − | 0.872285i | \(-0.662638\pi\) |
0.859627 | − | 0.510922i | \(-0.170696\pi\) | |||||||
\(174\) | 40.6381 | − | 119.562i | 0.233552 | − | 0.687138i | ||||
\(175\) | −28.8496 | + | 172.606i | −0.164855 | + | 0.986318i | ||||
\(176\) | − | 24.2839i | − | 0.137977i | ||||||
\(177\) | 209.193 | + | 139.897i | 1.18188 | + | 0.790377i | ||||
\(178\) | 58.6044 | + | 218.715i | 0.329238 | + | 1.22873i | ||||
\(179\) | 20.0007 | − | 34.6423i | 0.111736 | − | 0.193532i | −0.804734 | − | 0.593635i | \(-0.797692\pi\) |
0.916470 | + | 0.400103i | \(0.131026\pi\) | |||||||
\(180\) | 15.3742 | + | 88.6771i | 0.0854125 | + | 0.492651i | ||||
\(181\) | 210.145i | 1.16102i | 0.814253 | + | 0.580510i | \(0.197147\pi\) | ||||
−0.814253 | + | 0.580510i | \(0.802853\pi\) | |||||||
\(182\) | −18.8351 | − | 66.7853i | −0.103489 | − | 0.366952i | ||||
\(183\) | 56.0144 | − | 27.5959i | 0.306090 | − | 0.150798i | ||||
\(184\) | 70.4971 | − | 40.7015i | 0.383136 | − | 0.221204i | ||||
\(185\) | −128.325 | − | 202.358i | −0.693647 | − | 1.09383i | ||||
\(186\) | −134.766 | + | 118.093i | −0.724546 | + | 0.634908i | ||||
\(187\) | 40.2349 | − | 150.159i | 0.215160 | − | 0.802987i | ||||
\(188\) | −89.5544 | − | 89.5544i | −0.476353 | − | 0.476353i | ||||
\(189\) | −170.492 | − | 81.5680i | −0.902076 | − | 0.431577i | ||||
\(190\) | 106.176 | + | 55.5530i | 0.558822 | + | 0.292384i | ||||
\(191\) | 161.722 | − | 93.3702i | 0.846712 | − | 0.488849i | −0.0128282 | − | 0.999918i | \(-0.504083\pi\) |
0.859540 | + | 0.511068i | \(0.170750\pi\) | |||||||
\(192\) | −1.57907 | + | 23.9480i | −0.00822431 | + | 0.124729i | ||||
\(193\) | 169.098 | − | 45.3096i | 0.876155 | − | 0.234765i | 0.207407 | − | 0.978255i | \(-0.433497\pi\) |
0.668747 | + | 0.743490i | \(0.266831\pi\) | |||||||
\(194\) | −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 | 0.619294 | − | 0.785159i | \(-0.287419\pi\) |
−0.785159 | + | 0.619294i | \(0.787419\pi\) | |||||||
\(198\) | 61.3400 | − | 46.9915i | 0.309798 | − | 0.237331i | ||||
\(199\) | −19.7740 | + | 34.2496i | −0.0993670 | + | 0.172109i | −0.911423 | − | 0.411471i | \(-0.865015\pi\) |
0.812056 | + | 0.583580i | \(0.198348\pi\) | |||||||
\(200\) | 53.9778 | + | 45.6771i | 0.269889 | + | 0.228385i | ||||
\(201\) | 19.4462 | + | 97.9633i | 0.0967472 | + | 0.487380i | ||||
\(202\) | −25.1768 | − | 25.1768i | −0.124638 | − | 0.124638i | ||||
\(203\) | 201.940 | + | 51.2871i | 0.994776 | + | 0.252646i | ||||
\(204\) | −49.4424 | + | 145.465i | −0.242365 | + | 0.713064i | ||||
\(205\) | −11.0126 | − | 10.1334i | −0.0537200 | − | 0.0494315i | ||||
\(206\) | 103.419 | − | 179.128i | 0.502036 | − | 0.869552i | ||||
\(207\) | 239.228 | + | 99.3114i | 1.15569 | + | 0.479765i | ||||
\(208\) | −27.0826 | − | 7.25676i | −0.130205 | − | 0.0348883i | ||||
\(209\) | − | 102.883i | − | 0.492263i | ||||||
\(210\) | −143.854 | + | 36.8231i | −0.685020 | + | 0.175348i | ||||
\(211\) | −145.662 | −0.690341 | −0.345170 | − | 0.938540i | \(-0.612179\pi\) | ||||
−0.345170 | + | 0.938540i | \(0.612179\pi\) | |||||||
\(212\) | −0.912638 | + | 3.40601i | −0.00430490 | + | 0.0160661i | ||||
\(213\) | 2.09373 | − | 31.7533i | 0.00982972 | − | 0.149077i | ||||
\(214\) | −100.399 | − | 57.9653i | −0.469154 | − | 0.270866i | ||||
\(215\) | −6.52896 | − | 157.039i | −0.0303672 | − | 0.730413i | ||||
\(216\) | −63.5472 | + | 42.3528i | −0.294200 | + | 0.196078i | ||||
\(217\) | −211.768 | − | 206.297i | −0.975890 | − | 0.950679i | ||||
\(218\) | −16.3973 | + | 16.3973i | −0.0752171 | + | 0.0752171i | ||||
\(219\) | −57.1770 | − | 288.038i | −0.261082 | − | 1.31524i | ||||
\(220\) | 13.2634 | − | 59.2432i | 0.0602880 | − | 0.269287i | ||||
\(221\) | −155.441 | − | 89.7438i | −0.703352 | − | 0.406080i | ||||
\(222\) | 113.025 | − | 169.011i | 0.509124 | − | 0.761311i | ||||
\(223\) | 202.781 | − | 202.781i | 0.909331 | − | 0.909331i | −0.0868873 | − | 0.996218i | \(-0.527692\pi\) |
0.996218 | + | 0.0868873i | \(0.0276920\pi\) | |||||||
\(224\) | −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 | ||||
\(227\) | 14.8179 | + | 55.3013i | 0.0652773 | + | 0.243618i | 0.990853 | − | 0.134944i | \(-0.0430854\pi\) |
−0.925576 | + | 0.378562i | \(0.876419\pi\) | |||||||
\(228\) | −6.68999 | + | 101.460i | −0.0293421 | + | 0.444999i | ||||
\(229\) | −33.1909 | − | 57.4883i | −0.144938 | − | 0.251041i | 0.784412 | − | 0.620241i | \(-0.212965\pi\) |
−0.929350 | + | 0.369200i | \(0.879632\pi\) | |||||||
\(230\) | 194.216 | − | 60.7917i | 0.844416 | − | 0.264312i | ||||
\(231\) | 85.2702 | + | 94.7778i | 0.369135 | + | 0.410293i | ||||
\(232\) | 59.5287 | − | 59.5287i | 0.256589 | − | 0.256589i | ||||
\(233\) | −345.921 | − | 92.6893i | −1.48464 | − | 0.397808i | −0.576717 | − | 0.816944i | \(-0.695667\pi\) |
−0.907924 | + | 0.419135i | \(0.862333\pi\) | |||||||
\(234\) | −34.0769 | − | 82.4519i | −0.145628 | − | 0.352359i | ||||
\(235\) | −169.565 | − | 267.390i | −0.721553 | − | 1.13783i | ||||
\(236\) | 83.8866 | + | 145.296i | 0.355452 | + | 0.615660i | ||||
\(237\) | 232.049 | − | 114.321i | 0.979108 | − | 0.482365i | ||||
\(238\) | −245.690 | − | 62.3985i | −1.03231 | − | 0.262178i | ||||
\(239\) | 97.3879 | 0.407481 | 0.203740 | − | 0.979025i | \(-0.434690\pi\) | ||||
0.203740 | + | 0.979025i | \(0.434690\pi\) | |||||||
\(240\) | −16.9322 | + | 57.5613i | −0.0705508 | + | 0.239839i | ||||
\(241\) | 44.6777 | + | 25.7947i | 0.185385 | + | 0.107032i | 0.589820 | − | 0.807535i | \(-0.299199\pi\) |
−0.404436 | + | 0.914567i | \(0.632532\pi\) | |||||||
\(242\) | 114.942 | − | 30.7986i | 0.474966 | − | 0.127267i | ||||
\(243\) | −229.950 | − | 78.5609i | −0.946298 | − | 0.323296i | ||||
\(244\) | 41.6288 | 0.170610 | ||||||||
\(245\) | −79.2797 | − | 231.818i | −0.323591 | − | 0.946197i | ||||
\(246\) | 4.08654 | − | 12.0231i | 0.0166120 | − | 0.0488743i | ||||
\(247\) | −114.740 | − | 30.7445i | −0.464535 | − | 0.124472i | ||||
\(248\) | −115.387 | + | 30.9179i | −0.465270 | + | 0.124669i | ||||
\(249\) | 131.693 | + | 150.285i | 0.528886 | + | 0.603556i | ||||
\(250\) | 106.737 | + | 140.916i | 0.426948 | + | 0.563663i | ||||
\(251\) | 328.831 | 1.31009 | 0.655043 | − | 0.755592i | \(-0.272651\pi\) | ||||
0.655043 | + | 0.755592i | \(0.272651\pi\) | |||||||
\(252\) | −77.9277 | − | 99.0114i | −0.309237 | − | 0.392903i | ||||
\(253\) | −123.549 | − | 123.549i | −0.488336 | − | 0.488336i | ||||
\(254\) | 30.6273 | + | 53.0481i | 0.120580 | + | 0.208851i | ||||
\(255\) | −200.070 | + | 327.873i | −0.784588 | + | 1.28578i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 27.0223 | + | 7.24061i | 0.105145 | + | 0.0281736i | 0.311008 | − | 0.950407i | \(-0.399333\pi\) |
−0.205863 | + | 0.978581i | \(0.566000\pi\) | |||||||
\(258\) | 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 | ||||
\(261\) | 265.560 | + | 35.1736i | 1.01747 | + | 0.134765i | ||||
\(262\) | −152.467 | + | 40.8533i | −0.581933 | + | 0.155929i | ||||
\(263\) | 15.6660 | + | 58.4662i | 0.0595664 | + | 0.222305i | 0.989292 | − | 0.145947i | \(-0.0466230\pi\) |
−0.929726 | + | 0.368252i | \(0.879956\pi\) | |||||||
\(264\) | 50.5281 | − | 10.0301i | 0.191394 | − | 0.0379927i | ||||
\(265\) | −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 | ||||
\(268\) | −17.2330 | + | 64.3144i | −0.0643022 | + | 0.239979i | ||||
\(269\) | −223.312 | − | 128.929i | −0.830154 | − | 0.479290i | 0.0237511 | − | 0.999718i | \(-0.492439\pi\) |
−0.853906 | + | 0.520428i | \(0.825772\pi\) | |||||||
\(270\) | −178.162 | + | 68.6161i | −0.659861 | + | 0.254134i | ||||
\(271\) | 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 | ||||
\(273\) | 131.182 | − | 66.7751i | 0.480521 | − | 0.244597i | ||||
\(274\) | − | 190.841i | − | 0.696499i | ||||||
\(275\) | 64.7148 | − | 137.286i | 0.235327 | − | 0.499222i | ||||
\(276\) | 113.806 | + | 129.874i | 0.412341 | + | 0.470557i | ||||
\(277\) | 70.2296 | + | 262.100i | 0.253536 | + | 0.946211i | 0.968899 | + | 0.247457i | \(0.0795949\pi\) |
−0.715362 | + | 0.698754i | \(0.753738\pi\) | |||||||
\(278\) | 34.4799 | − | 128.681i | 0.124029 | − | 0.462881i | ||||
\(279\) | −301.381 | − | 231.634i | −1.08022 | − | 0.830228i | ||||
\(280\) | −96.8783 | − | 20.3617i | −0.345994 | − | 0.0727202i | ||||
\(281\) | − | 265.329i | − | 0.944230i | −0.881537 | − | 0.472115i | \(-0.843491\pi\) | ||
0.881537 | − | 0.472115i | \(-0.156509\pi\) | |||||||
\(282\) | 149.349 | − | 223.327i | 0.529606 | − | 0.791939i | ||||
\(283\) | −107.646 | − | 401.740i | −0.380374 | − | 1.41958i | −0.845331 | − | 0.534243i | \(-0.820597\pi\) |
0.464956 | − | 0.885334i | \(-0.346070\pi\) | |||||||
\(284\) | 10.6074 | − | 18.3726i | 0.0373501 | − | 0.0646923i | ||||
\(285\) | −71.7361 | + | 243.868i | −0.251706 | + | 0.855678i | ||||
\(286\) | 60.1812i | 0.210424i | ||||||||
\(287\) | 20.3069 | + | 5.15740i | 0.0707558 | + | 0.0179700i | ||||
\(288\) | −50.4813 | + | 6.60571i | −0.175282 | + | 0.0229365i | ||||
\(289\) | −317.558 | + | 183.342i | −1.09882 | + | 0.634402i | ||||
\(290\) | 177.740 | − | 112.713i | 0.612897 | − | 0.388667i | ||||
\(291\) | −228.664 | − | 260.948i | −0.785788 | − | 0.896728i | ||||
\(292\) | 50.6696 | − | 189.102i | 0.173526 | − | 0.647608i | ||||
\(293\) | 15.6606 | + | 15.6606i | 0.0534491 | + | 0.0534491i | 0.733326 | − | 0.679877i | \(-0.237967\pi\) |
−0.679877 | + | 0.733326i | \(0.737967\pi\) | |||||||
\(294\) | 152.714 | − | 141.054i | 0.519437 | − | 0.479776i | ||||
\(295\) | 125.293 | + | 400.282i | 0.424722 | + | 1.35689i | ||||
\(296\) | 117.387 | − | 67.7737i | 0.396579 | − | 0.228965i | ||||
\(297\) | 123.112 | + | 108.223i | 0.414517 | + | 0.364386i | ||||
\(298\) | −273.997 | + | 73.4172i | −0.919452 | + | 0.246366i | ||||
\(299\) | −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 | ||||
\(303\) | 41.9871 | − | 62.7849i | 0.138571 | − | 0.207211i | ||||
\(304\) | −33.8934 | + | 58.7050i | −0.111491 | + | 0.193109i | ||||
\(305\) | 101.558 | + | 22.7368i | 0.332977 | + | 0.0745467i | ||||
\(306\) | −323.094 | − | 42.7939i | −1.05586 | − | 0.139849i | ||||
\(307\) | 222.516 | + | 222.516i | 0.724809 | + | 0.724809i | 0.969581 | − | 0.244772i | \(-0.0787129\pi\) |
−0.244772 | + | 0.969581i | \(0.578713\pi\) | |||||||
\(308\) | 23.0704 | + | 81.8027i | 0.0749038 | + | 0.265593i | ||||
\(309\) | 415.431 | + | 141.201i | 1.34444 | + | 0.456962i | ||||
\(310\) | −298.386 | + | 12.4055i | −0.962535 | + | 0.0400178i | ||||
\(311\) | 92.6420 | − | 160.461i | 0.297884 | − | 0.515951i | −0.677767 | − | 0.735276i | \(-0.737052\pi\) |
0.975652 | + | 0.219326i | \(0.0703857\pi\) | |||||||
\(312\) | 3.91329 | − | 59.3487i | 0.0125426 | − | 0.190220i | ||||
\(313\) | 87.4513 | + | 23.4325i | 0.279397 | + | 0.0748642i | 0.395796 | − | 0.918338i | \(-0.370469\pi\) |
−0.116399 | + | 0.993202i | \(0.537135\pi\) | |||||||
\(314\) | 26.2263i | 0.0835234i | ||||||||
\(315\) | −136.035 | − | 284.112i | −0.431858 | − | 0.901942i | ||||
\(316\) | 172.454 | 0.545740 | ||||||||
\(317\) | −120.835 | + | 450.963i | −0.381183 | + | 1.42260i | 0.462913 | + | 0.886404i | \(0.346804\pi\) |
−0.844096 | + | 0.536192i | \(0.819862\pi\) | |||||||
\(318\) | −7.46392 | − | 0.492151i | −0.0234714 | − | 0.00154764i | ||||
\(319\) | −156.490 | − | 90.3494i | −0.490564 | − | 0.283227i | ||||
\(320\) | −27.0849 | + | 29.4348i | −0.0846404 | + | 0.0919837i | ||||
\(321\) | 79.1417 | − | 232.844i | 0.246547 | − | 0.725370i | ||||
\(322\) | −198.809 | + | 204.081i | −0.617419 | + | 0.633792i | ||||
\(323\) | −306.844 | + | 306.844i | −0.949980 | + | 0.949980i | ||||
\(324\) | −114.371 | − | 114.731i | −0.352998 | − | 0.354108i | ||||
\(325\) | −133.770 | − | 113.198i | −0.411599 | − | 0.348303i | ||||
\(326\) | 102.552 | + | 59.2083i | 0.314576 | + | 0.181620i | ||||
\(327\) | −40.8909 | − | 27.3456i | −0.125049 | − | 0.0836258i | ||||
\(328\) | 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 | \(0.645385\pi\) | |||||||
\(332\) | 34.4784 | + | 128.675i | 0.103851 | + | 0.387576i | ||||
\(333\) | 398.348 | + | 165.367i | 1.19624 | + | 0.496599i | ||||
\(334\) | −146.343 | − | 253.473i | −0.438152 | − | 0.758902i | ||||
\(335\) | −77.1689 | + | 147.490i | −0.230355 | + | 0.440268i | ||||
\(336\) | −17.4320 | − | 82.1713i | −0.0518809 | − | 0.244558i | ||||
\(337\) | 424.870 | − | 424.870i | 1.26074 | − | 1.26074i | 0.310009 | − | 0.950734i | \(-0.399668\pi\) |
0.950734 | − | 0.310009i | \(-0.100332\pi\) | |||||||
\(338\) | −163.741 | − | 43.8744i | −0.484442 | − | 0.129806i | ||||
\(339\) | 369.799 | − | 324.049i | 1.09085 | − | 0.955895i | ||||
\(340\) | −216.248 | + | 137.133i | −0.636022 | + | 0.403332i | ||||
\(341\) | 128.203 | + | 222.054i | 0.375961 | + | 0.651183i | ||||
\(342\) | −213.873 | + | 27.9862i | −0.625359 | + | 0.0818311i | ||||
\(343\) | 251.869 | + | 232.832i | 0.734313 | + | 0.678811i | ||||
\(344\) | 88.9113 | 0.258463 | ||||||||
\(345\) | 206.708 | + | 379.000i | 0.599154 | + | 1.09855i | ||||
\(346\) | 303.413 | + | 175.176i | 0.876918 | + | 0.506289i | ||||
\(347\) | 58.1423 | − | 15.5792i | 0.167557 | − | 0.0448968i | −0.174065 | − | 0.984734i | \(-0.555690\pi\) |
0.341622 | + | 0.939837i | \(0.389024\pi\) | |||||||
\(348\) | 148.450 | + | 99.2754i | 0.426581 | + | 0.285274i | ||||
\(349\) | 544.766 | 1.56093 | 0.780467 | − | 0.625197i | \(-0.214981\pi\) | ||||
0.780467 | + | 0.625197i | \(0.214981\pi\) | |||||||
\(350\) | −225.224 | − | 102.587i | −0.643497 | − | 0.293107i | ||||
\(351\) | 157.485 | − | 104.960i | 0.448674 | − | 0.299031i | ||||
\(352\) | 33.1724 | + | 8.88853i | 0.0942399 | + | 0.0252515i | ||||
\(353\) | −300.336 | + | 80.4748i | −0.850811 | + | 0.227974i | −0.657772 | − | 0.753217i | \(-0.728501\pi\) |
−0.193039 | + | 0.981191i | \(0.561834\pi\) | |||||||
\(354\) | −267.672 | + | 234.557i | −0.756136 | + | 0.662589i | ||||
\(355\) | 35.9127 | − | 39.0284i | 0.101163 | − | 0.109939i | ||||
\(356\) | −320.221 | −0.899496 | ||||||||
\(357\) | 28.3558 | − | 536.985i | 0.0794281 | − | 1.50416i | ||||
\(358\) | 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 | \(-0.338682\pi\) | |||||||
\(360\) | −126.763 | − | 11.4565i | −0.352118 | − | 0.0318235i | ||||
\(361\) | 36.9050 | − | 63.9213i | 0.102230 | − | 0.177067i | ||||
\(362\) | −287.063 | − | 76.9183i | −0.792992 | − | 0.212482i | ||||
\(363\) | 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 | ||||
\(366\) | 17.1941 | + | 86.6179i | 0.0469783 | + | 0.236661i | ||||
\(367\) | −599.740 | + | 160.700i | −1.63417 | + | 0.437874i | −0.955120 | − | 0.296218i | \(-0.904274\pi\) |
−0.679049 | + | 0.734093i | \(0.737608\pi\) | |||||||
\(368\) | 29.7956 | + | 111.199i | 0.0809662 | + | 0.302170i | ||||
\(369\) | 26.7046 | + | 3.53703i | 0.0723701 | + | 0.00958546i | ||||
\(370\) | 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 | ||||
\(373\) | 37.2257 | − | 138.928i | 0.0998008 | − | 0.372462i | −0.897903 | − | 0.440194i | \(-0.854910\pi\) |
0.997704 | + | 0.0677323i | \(0.0215764\pi\) | |||||||
\(374\) | 190.393 | + | 109.924i | 0.509073 | + | 0.293914i | ||||
\(375\) | −249.121 | + | 280.293i | −0.664321 | + | 0.747447i | ||||
\(376\) | 155.113 | − | 89.5544i | 0.412534 | − | 0.238177i | ||||
\(377\) | −147.526 | + | 147.526i | −0.391315 | + | 0.391315i | ||||
\(378\) | 173.829 | − | 203.041i | 0.459864 | − | 0.537145i | ||||
\(379\) | − | 743.787i | − | 1.96250i | −0.192741 | − | 0.981250i | \(-0.561738\pi\) | ||
0.192741 | − | 0.981250i | \(-0.438262\pi\) | |||||||
\(380\) | −114.750 | + | 124.705i | −0.301974 | + | 0.328172i | ||||
\(381\) | −97.7282 | + | 85.6375i | −0.256504 | + | 0.224770i | ||||
\(382\) | 68.3517 | + | 255.092i | 0.178931 | + | 0.667781i | ||||
\(383\) | −47.5416 | + | 177.428i | −0.124130 | + | 0.463258i | −0.999807 | − | 0.0196383i | \(-0.993749\pi\) |
0.875678 | + | 0.482896i | \(0.160415\pi\) | |||||||
\(384\) | −32.1356 | − | 10.9226i | −0.0836864 | − | 0.0284443i | ||||
\(385\) | 11.6037 | + | 212.167i | 0.0301395 | + | 0.551084i | ||||
\(386\) | 247.576i | 0.641390i | ||||||||
\(387\) | 172.051 | + | 224.586i | 0.444576 | + | 0.580325i | ||||
\(388\) | −59.8665 | − | 223.425i | −0.154295 | − | 0.575838i | ||||
\(389\) | −216.669 | + | 375.281i | −0.556989 | + | 0.964734i | 0.440757 | + | 0.897627i | \(0.354710\pi\) |
−0.997746 | + | 0.0671069i | \(0.978623\pi\) | |||||||
\(390\) | 41.9619 | − | 142.650i | 0.107595 | − | 0.365770i | ||||
\(391\) | 736.958i | 1.88480i | ||||||||
\(392\) | 132.886 | − | 39.3613i | 0.338995 | − | 0.100411i | ||||
\(393\) | −147.978 | − | 300.367i | −0.376534 | − | 0.764292i | ||||
\(394\) | 56.5953 | − | 32.6753i | 0.143643 | − | 0.0829323i | ||||
\(395\) | 420.720 | + | 94.1906i | 1.06511 | + | 0.238457i | ||||
\(396\) | 41.7395 | + | 100.992i | 0.105403 | + | 0.255031i | ||||
\(397\) | −97.8793 | + | 365.291i | −0.246547 | + | 0.920128i | 0.726052 | + | 0.687640i | \(0.241353\pi\) |
−0.972599 | + | 0.232488i | \(0.925313\pi\) | |||||||
\(398\) | −39.5481 | − | 39.5481i | −0.0993670 | − | 0.0993670i | ||||
\(399\) | −73.8536 | − | 348.133i | −0.185097 | − | 0.872513i | ||||
\(400\) | −82.1533 | + | 57.0161i | −0.205383 | + | 0.142540i | ||||
\(401\) | −144.925 | + | 83.6723i | −0.361408 | + | 0.208659i | −0.669698 | − | 0.742633i | \(-0.733577\pi\) |
0.308290 | + | 0.951292i | \(0.400243\pi\) | |||||||
\(402\) | −140.938 | − | 9.29309i | −0.350593 | − | 0.0231171i | ||||
\(403\) | 285.956 | − | 76.6216i | 0.709568 | − | 0.190128i | ||||
\(404\) | 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 | ||||
\(408\) | −180.612 | − | 120.783i | −0.442676 | − | 0.296038i | ||||
\(409\) | 282.764 | − | 489.761i | 0.691353 | − | 1.19746i | −0.280041 | − | 0.959988i | \(-0.590348\pi\) |
0.971395 | − | 0.237471i | \(-0.0763185\pi\) | |||||||
\(410\) | 17.8734 | − | 11.3344i | 0.0435938 | − | 0.0276449i | ||||
\(411\) | 397.086 | − | 78.8235i | 0.966147 | − | 0.191785i | ||||
\(412\) | 206.839 | + | 206.839i | 0.502036 | + | 0.502036i | ||||
\(413\) | −420.615 | − | 409.749i | −1.01844 | − | 0.992127i | ||||
\(414\) | −223.225 | + | 290.441i | −0.539192 | + | 0.701549i | ||||
\(415\) | 13.8342 | + | 332.748i | 0.0333353 | + | 0.801803i | ||||
\(416\) | 19.8258 | − | 34.3394i | 0.0476583 | − | 0.0825466i | ||||
\(417\) | 281.990 | + | 18.5937i | 0.676236 | + | 0.0445892i | ||||
\(418\) | 140.541 | + | 37.6578i | 0.336222 | + | 0.0900904i | ||||
\(419\) | 431.753i | 1.03044i | 0.857059 | + | 0.515218i | \(0.172289\pi\) | ||||
−0.857059 | + | 0.515218i | \(0.827711\pi\) | |||||||
\(420\) | 2.35302 | − | 209.987i | 0.00560244 | − | 0.499969i | ||||
\(421\) | −408.628 | −0.970613 | −0.485307 | − | 0.874344i | \(-0.661292\pi\) | ||||
−0.485307 | + | 0.874344i | \(0.661292\pi\) | |||||||
\(422\) | 53.3160 | − | 198.978i | 0.126341 | − | 0.471512i | ||||
\(423\) | 526.367 | + | 218.512i | 1.24437 | + | 0.516577i | ||||
\(424\) | −4.31865 | − | 2.49337i | −0.0101855 | − | 0.00588060i | ||||
\(425\) | −602.458 | + | 216.441i | −1.41755 | + | 0.509272i | ||||
\(426\) | 42.6095 | + | 14.4826i | 0.100022 | + | 0.0339968i | ||||
\(427\) | −140.231 | + | 39.5484i | −0.328409 | + | 0.0926193i | ||||
\(428\) | 115.931 | − | 115.931i | 0.270866 | − | 0.270866i | ||||
\(429\) | −125.220 | + | 24.8568i | −0.291889 | + | 0.0579413i | ||||
\(430\) | 216.909 | + | 48.5614i | 0.504439 | + | 0.112934i | ||||
\(431\) | −282.743 | − | 163.241i | −0.656015 | − | 0.378751i | 0.134742 | − | 0.990881i | \(-0.456980\pi\) |
−0.790757 | + | 0.612130i | \(0.790313\pi\) | |||||||
\(432\) | −34.5951 | − | 102.309i | −0.0800813 | − | 0.236827i | ||||
\(433\) | −135.145 | + | 135.145i | −0.312114 | + | 0.312114i | −0.845728 | − | 0.533614i | \(-0.820833\pi\) |
0.533614 | + | 0.845728i | \(0.320833\pi\) | |||||||
\(434\) | 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 | ||||
\(437\) | 126.234 | + | 471.112i | 0.288865 | + | 1.07806i | ||||
\(438\) | 414.396 | + | 27.3242i | 0.946109 | + | 0.0623839i | ||||
\(439\) | 308.876 | + | 534.989i | 0.703590 | + | 1.21865i | 0.967198 | + | 0.254023i | \(0.0817540\pi\) |
−0.263608 | + | 0.964630i | \(0.584913\pi\) | |||||||
\(440\) | 76.0731 | + | 39.8026i | 0.172893 | + | 0.0904605i | ||||
\(441\) | 356.571 | + | 259.496i | 0.808550 | + | 0.588427i | ||||
\(442\) | 179.488 | − | 179.488i | 0.406080 | − | 0.406080i | ||||
\(443\) | −370.322 | − | 99.2276i | −0.835942 | − | 0.223990i | −0.184638 | − | 0.982807i | \(-0.559111\pi\) |
−0.651304 | + | 0.758817i | \(0.725778\pi\) | |||||||
\(444\) | 189.503 | + | 216.258i | 0.426809 | + | 0.487067i | ||||
\(445\) | −781.213 | − | 174.898i | −1.75553 | − | 0.393029i | ||||
\(446\) | 202.781 | + | 351.227i | 0.454665 | + | 0.787504i | ||||
\(447\) | −265.930 | − | 539.787i | −0.594922 | − | 1.20758i | ||||
\(448\) | 13.7848 | − | 54.2769i | 0.0307697 | − | 0.121154i | ||||
\(449\) | 38.5058 | 0.0857590 | 0.0428795 | − | 0.999080i | \(-0.486347\pi\) | ||||
0.0428795 | + | 0.999080i | \(0.486347\pi\) | |||||||
\(450\) | −302.994 | − | 97.1843i | −0.673319 | − | 0.215965i | ||||
\(451\) | −15.7365 | − | 9.08548i | −0.0348925 | − | 0.0201452i | ||||
\(452\) | 316.624 | − | 84.8391i | 0.700495 | − | 0.187697i | ||||
\(453\) | −443.387 | + | 663.012i | −0.978779 | + | 1.46360i | ||||
\(454\) | −80.9667 | −0.178341 | ||||||||
\(455\) | 240.087 | + | 50.4609i | 0.527663 | + | 0.110903i | ||||
\(456\) | −136.148 | − | 46.2755i | −0.298570 | − | 0.101481i | ||||
\(457\) | −617.544 | − | 165.470i | −1.35130 | − | 0.362080i | −0.490686 | − | 0.871337i | \(-0.663254\pi\) |
−0.860615 | + | 0.509257i | \(0.829920\pi\) | |||||||
\(458\) | 90.6793 | − | 24.2974i | 0.197990 | − | 0.0530512i | ||||
\(459\) | −44.4061 | − | 689.943i | −0.0967453 | − | 1.50314i | ||||
\(460\) | 11.9552 | + | 287.555i | 0.0259896 | + | 0.625119i | ||||
\(461\) | −142.328 | −0.308737 | −0.154369 | − | 0.988013i | \(-0.549334\pi\) | ||||
−0.154369 | + | 0.988013i | \(0.549334\pi\) | |||||||
\(462\) | −160.680 | + | 81.7902i | −0.347792 | + | 0.177035i | ||||
\(463\) | 62.1843 | + | 62.1843i | 0.134307 | + | 0.134307i | 0.771064 | − | 0.636757i | \(-0.219725\pi\) |
−0.636757 | + | 0.771064i | \(0.719725\pi\) | |||||||
\(464\) | 59.5287 | + | 103.107i | 0.128295 | + | 0.222213i | ||||
\(465\) | −149.056 | − | 615.734i | −0.320550 | − | 1.32416i | ||||
\(466\) | 253.232 | − | 438.611i | 0.543416 | − | 0.941225i | ||||
\(467\) | −537.808 | − | 144.105i | −1.15162 | − | 0.308577i | −0.368008 | − | 0.929823i | \(-0.619960\pi\) |
−0.783616 | + | 0.621246i | \(0.786627\pi\) | |||||||
\(468\) | 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 | ||||
\(471\) | −54.5697 | + | 10.8323i | −0.115859 | + | 0.0229986i | ||||
\(472\) | −229.182 | + | 61.4092i | −0.485556 | + | 0.130104i | ||||
\(473\) | −49.3932 | − | 184.338i | −0.104425 | − | 0.389720i | ||||
\(474\) | 71.2291 | + | 358.828i | 0.150272 | + | 0.757022i | ||||
\(475\) | −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 | ||||
\(478\) | −35.6464 | + | 133.034i | −0.0745741 | + | 0.278314i | ||||
\(479\) | −32.8860 | − | 18.9867i | −0.0686554 | − | 0.0396382i | 0.465279 | − | 0.885164i | \(-0.345954\pi\) |
−0.533935 | + | 0.845526i | \(0.679287\pi\) | |||||||
\(480\) | −72.4326 | − | 44.1987i | −0.150901 | − | 0.0920806i | ||||
\(481\) | −290.913 | + | 167.959i | −0.604809 | + | 0.349187i | ||||
\(482\) | −51.5893 | + | 51.5893i | −0.107032 | + | 0.107032i | ||||
\(483\) | −506.751 | − | 329.374i | −1.04917 | − | 0.681933i | ||||
\(484\) | 168.286i | 0.347699i | ||||||||
\(485\) | −24.0209 | − | 577.767i | −0.0495277 | − | 1.19127i | ||||
\(486\) | 191.484 | − | 285.363i | 0.394000 | − | 0.587166i | ||||
\(487\) | 125.758 | + | 469.334i | 0.258230 | + | 0.963726i | 0.966265 | + | 0.257549i | \(0.0829149\pi\) |
−0.708036 | + | 0.706177i | \(0.750418\pi\) | |||||||
\(488\) | −15.2372 | + | 56.8660i | −0.0312238 | + | 0.116529i | ||||
\(489\) | −80.8387 | + | 237.837i | −0.165314 | + | 0.486373i | ||||
\(490\) | 345.688 | − | 23.4467i | 0.705486 | − | 0.0478503i | ||||
\(491\) | − | 170.670i | − | 0.347596i | −0.984781 | − | 0.173798i | \(-0.944396\pi\) | ||
0.984781 | − | 0.173798i | \(-0.0556040\pi\) | |||||||
\(492\) | 14.9281 | + | 9.98307i | 0.0303416 | + | 0.0202908i | ||||
\(493\) | 197.261 | + | 736.186i | 0.400123 | + | 1.49328i | ||||
\(494\) | 83.9956 | − | 145.485i | 0.170032 | − | 0.294503i | ||||
\(495\) | 46.6684 | + | 269.178i | 0.0942795 | + | 0.543795i | ||||
\(496\) | − | 168.938i | − | 0.340602i | ||||||
\(497\) | −18.2777 | + | 71.9673i | −0.0367761 | + | 0.144803i | ||||
\(498\) | −253.497 | + | 124.887i | −0.509029 | + | 0.250777i | ||||
\(499\) | −7.72541 | + | 4.46027i | −0.0154818 | + | 0.00893841i | −0.507721 | − | 0.861522i | \(-0.669512\pi\) |
0.492239 | + | 0.870460i | \(0.336179\pi\) | |||||||
\(500\) | −231.563 | + | 94.2266i | −0.463126 | + | 0.188453i | ||||
\(501\) | 466.963 | − | 409.191i | 0.932061 | − | 0.816749i | ||||
\(502\) | −120.361 | + | 449.192i | −0.239762 | + | 0.894805i | ||||
\(503\) | 256.753 | + | 256.753i | 0.510443 | + | 0.510443i | 0.914662 | − | 0.404219i | \(-0.132457\pi\) |
−0.404219 | + | 0.914662i | \(0.632457\pi\) | |||||||
\(504\) | 163.776 | − | 70.2106i | 0.324952 | − | 0.139307i | ||||
\(505\) | 120.136 | − | 37.6041i | 0.237894 | − | 0.0744636i | ||||
\(506\) | 213.993 | − | 123.549i | 0.422911 | − | 0.244168i | ||||
\(507\) | 23.6598 | − | 358.822i | 0.0466662 | − | 0.707735i | ||||
\(508\) | −83.6754 | + | 22.4208i | −0.164715 | + | 0.0441353i | ||||
\(509\) | 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 | ||||
\(513\) | −146.568 | − | 433.451i | −0.285708 | − | 0.844933i | ||||
\(514\) | −19.7817 | + | 34.2630i | −0.0384859 | + | 0.0666594i | ||||
\(515\) | 391.635 | + | 617.577i | 0.760456 | + | 1.19918i | ||||
\(516\) | 36.7233 | + | 185.000i | 0.0711692 | + | 0.358526i | ||||
\(517\) | −271.841 | − | 271.841i | −0.525805 | − | 0.525805i | ||||
\(518\) | −331.044 | + | 339.824i | −0.639082 | + | 0.656030i | ||||
\(519\) | −239.172 | + | 703.673i | −0.460833 | + | 1.35582i | ||||
\(520\) | 67.1227 | − | 72.9462i | 0.129082 | − | 0.140281i | ||||
\(521\) | 241.082 | − | 417.566i | 0.462730 | − | 0.801471i | −0.536366 | − | 0.843985i | \(-0.680203\pi\) |
0.999096 | + | 0.0425142i | \(0.0135368\pi\) | |||||||
\(522\) | −145.250 | + | 349.887i | −0.278256 | + | 0.670282i | ||||
\(523\) | −888.960 | − | 238.196i | −1.69973 | − | 0.455442i | −0.726860 | − | 0.686786i | \(-0.759021\pi\) |
−0.972872 | + | 0.231344i | \(0.925688\pi\) | |||||||
\(524\) | − | 223.227i | − | 0.426005i | ||||||
\(525\) | 120.431 | − | 511.000i | 0.229392 | − | 0.973334i | ||||
\(526\) | −85.6004 | −0.162738 | ||||||||
\(527\) | 279.906 | − | 1044.62i | 0.531131 | − | 1.98221i | ||||
\(528\) | −4.79324 | + | 72.6939i | −0.00907811 | + | 0.137678i | ||||
\(529\) | 259.207 | + | 149.653i | 0.489994 | + | 0.282898i | ||||
\(530\) | −9.17399 | − | 8.44161i | −0.0173094 | − | 0.0159276i | ||||
\(531\) | −598.604 | − | 460.072i | −1.12732 | − | 0.866425i | ||||
\(532\) | 58.4018 | − | 229.953i | 0.109778 | − | 0.432243i | ||||
\(533\) | −14.8351 | + | 14.8351i | −0.0278333 | + | 0.0278333i | ||||
\(534\) | −132.262 | − | 666.290i | −0.247681 | − | 1.24773i | ||||
\(535\) | 346.144 | − | 219.507i | 0.646999 | − | 0.410293i | ||||
\(536\) | −81.5474 | − | 47.0814i | −0.152141 | − | 0.0878385i | ||||
\(537\) | −66.7099 | + | 99.7538i | −0.124227 | + | 0.185761i | ||||
\(538\) | 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 | \(-0.369839\pi\) | |||||||
\(542\) | 68.9688 | + | 257.395i | 0.127249 | + | 0.474898i | ||||
\(543\) | 41.4791 | − | 629.068i | 0.0763887 | − | 1.15850i | ||||
\(544\) | −72.4257 | − | 125.445i | −0.133135 | − | 0.230597i | ||||
\(545\) | −24.4910 | − | 78.2432i | −0.0449377 | − | 0.143565i | ||||
\(546\) | 43.2005 | + | 203.640i | 0.0791218 | + | 0.372966i | ||||
\(547\) | 753.854 | − | 753.854i | 1.37816 | − | 1.37816i | 0.530436 | − | 0.847725i | \(-0.322028\pi\) |
0.847725 | − | 0.530436i | \(-0.177972\pi\) | |||||||
\(548\) | 260.693 | + | 69.8525i | 0.475718 | + | 0.127468i | ||||
\(549\) | −173.126 | + | 71.5521i | −0.315348 | + | 0.130332i | ||||
\(550\) | 163.849 | + | 138.652i | 0.297907 | + | 0.252095i | ||||
\(551\) | 252.204 | + | 436.829i | 0.457720 | + | 0.792794i | ||||
\(552\) | −219.067 | + | 107.925i | −0.396860 | + | 0.195516i | ||||
\(553\) | −580.927 | + | 163.836i | −1.05050 | + | 0.296267i | ||||
\(554\) | −383.742 | −0.692674 | ||||||||
\(555\) | 344.198 | + | 631.087i | 0.620176 | + | 1.13709i | ||||
\(556\) | 163.161 | + | 94.2009i | 0.293455 | + | 0.169426i | ||||
\(557\) | −17.3888 | + | 4.65931i | −0.0312187 | + | 0.00836501i | −0.274395 | − | 0.961617i | \(-0.588477\pi\) |
0.243176 | + | 0.969982i | \(0.421811\pi\) | |||||||
\(558\) | 426.730 | − | 326.910i | 0.764750 | − | 0.585861i | ||||
\(559\) | −220.343 | −0.394173 | ||||||||
\(560\) | 63.2745 | − | 124.885i | 0.112990 | − | 0.223009i | ||||
\(561\) | −150.082 | + | 441.558i | −0.267526 | + | 0.787090i | ||||
\(562\) | 362.445 | + | 97.1170i | 0.644921 | + | 0.172806i | ||||
\(563\) | 793.429 | − | 212.599i | 1.40929 | − | 0.377617i | 0.527617 | − | 0.849483i | \(-0.323086\pi\) |
0.881671 | + | 0.471865i | \(0.156419\pi\) | |||||||
\(564\) | 250.404 | + | 285.758i | 0.443979 | + | 0.506662i | ||||
\(565\) | 818.776 | − | 34.0410i | 1.44916 | − | 0.0602495i | ||||
\(566\) | 588.188 | 1.03920 | ||||||||
\(567\) | 494.269 | + | 277.826i | 0.871726 | + | 0.489993i | ||||
\(568\) | 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 | \(-0.347474\pi\) | |||||||
\(570\) | −306.873 | − | 187.255i | −0.538373 | − | 0.328518i | ||||
\(571\) | −39.0173 | + | 67.5799i | −0.0683315 | + | 0.118354i | −0.898167 | − | 0.439655i | \(-0.855101\pi\) |
0.829835 | + | 0.558008i | \(0.188434\pi\) | |||||||
\(572\) | −82.2090 | − | 22.0278i | −0.143722 | − | 0.0385102i | ||||
\(573\) | −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 | ||||
\(576\) | 9.45388 | − | 71.3766i | 0.0164130 | − | 0.123918i | ||||
\(577\) | −430.705 | + | 115.407i | −0.746456 | + | 0.200012i | −0.611946 | − | 0.790900i | \(-0.709613\pi\) |
−0.134510 | + | 0.990912i | \(0.542946\pi\) | |||||||
\(578\) | −134.216 | − | 500.900i | −0.232207 | − | 0.866609i | ||||
\(579\) | −515.138 | + | 102.257i | −0.889703 | + | 0.176610i | ||||
\(580\) | 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 | ||||
\(583\) | −2.77030 | + | 10.3389i | −0.00475181 | + | 0.0177340i | ||||
\(584\) | 239.771 | + | 138.432i | 0.410567 | + | 0.237041i | ||||
\(585\) | 314.147 | + | 28.3918i | 0.537003 | + | 0.0485330i | ||||
\(586\) | −27.1249 | + | 15.6606i | −0.0462883 | + | 0.0267246i | ||||
\(587\) | 774.944 | − | 774.944i | 1.32018 | − | 1.32018i | 0.406549 | − | 0.913629i | \(-0.366732\pi\) |
0.913629 | − | 0.406549i | \(-0.133268\pi\) | |||||||
\(588\) | 136.786 | + | 260.241i | 0.232630 | + | 0.442587i | ||||
\(589\) | − | 715.736i | − | 1.21517i | ||||||
\(590\) | −592.656 | + | 24.6399i | −1.00450 | + | 0.0417626i | ||||
\(591\) | 91.3640 | + | 104.263i | 0.154592 | + | 0.176418i | ||||
\(592\) | 49.6138 | + | 185.161i | 0.0838071 | + | 0.312772i | ||||
\(593\) | 44.2706 | − | 165.220i | 0.0746554 | − | 0.278618i | −0.918500 | − | 0.395422i | \(-0.870598\pi\) |
0.993155 | + | 0.116804i | \(0.0372650\pi\) | |||||||
\(594\) | −192.897 | + | 128.561i | −0.324742 | + | 0.216433i | ||||
\(595\) | 598.171 | − | 667.386i | 1.00533 | − | 1.12166i | ||||
\(596\) | − | 401.159i | − | 0.673085i | ||||||
\(597\) | 65.9539 | − | 98.6232i | 0.110476 | − | 0.165198i | ||||
\(598\) | −73.8403 | − | 275.576i | −0.123479 | − | 0.460829i | ||||
\(599\) | −291.458 | + | 504.819i | −0.486574 | + | 0.842770i | −0.999881 | − | 0.0154348i | \(-0.995087\pi\) |
0.513307 | + | 0.858205i | \(0.328420\pi\) | |||||||
\(600\) | −152.567 | − | 147.389i | −0.254278 | − | 0.245648i | ||||
\(601\) | − | 831.971i | − | 1.38431i | −0.721749 | − | 0.692155i | \(-0.756661\pi\) | ||
0.721749 | − | 0.692155i | \(-0.243339\pi\) | |||||||
\(602\) | −299.506 | + | 84.4680i | −0.497519 | + | 0.140312i | ||||
\(603\) | −38.8758 | − | 297.092i | −0.0644706 | − | 0.492689i | ||||
\(604\) | −460.499 | + | 265.869i | −0.762415 | + | 0.440180i | ||||
\(605\) | −91.9145 | + | 410.553i | −0.151925 | + | 0.678600i | ||||
\(606\) | 70.3974 | + | 80.3364i | 0.116167 | + | 0.132568i | ||||
\(607\) | 181.199 | − | 676.244i | 0.298516 | − | 1.11408i | −0.639869 | − | 0.768484i | \(-0.721012\pi\) |
0.938385 | − | 0.345592i | \(-0.112322\pi\) | |||||||
\(608\) | −67.7867 | − | 67.7867i | −0.111491 | − | 0.111491i | ||||
\(609\) | −594.383 | − | 193.387i | −0.975998 | − | 0.317549i | ||||
\(610\) | −68.2318 | + | 130.408i | −0.111855 | + | 0.213784i | ||||
\(611\) | −384.405 | + | 221.936i | −0.629141 | + | 0.363235i | ||||
\(612\) | 176.718 | − | 425.691i | 0.288755 | − | 0.695573i | ||||
\(613\) | 960.706 | − | 257.420i | 1.56722 | − | 0.419935i | 0.632279 | − | 0.774741i | \(-0.282120\pi\) |
0.934940 | + | 0.354805i | \(0.115453\pi\) | |||||||
\(614\) | −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 | 0.640990 | − | 0.767549i | \(-0.278524\pi\) |
−0.767549 | + | 0.640990i | \(0.778524\pi\) | |||||||
\(618\) | −344.943 | + | 515.805i | −0.558160 | + | 0.834637i | ||||
\(619\) | −232.594 | + | 402.865i | −0.375758 | + | 0.650832i | −0.990440 | − | 0.137943i | \(-0.955951\pi\) |
0.614682 | + | 0.788775i | \(0.289284\pi\) | |||||||
\(620\) | 92.2705 | − | 412.143i | 0.148823 | − | 0.664747i | ||||
\(621\) | −696.527 | − | 344.508i | −1.12162 | − | 0.554764i | ||||
\(622\) | 185.284 | + | 185.284i | 0.297884 | + | 0.297884i | ||||
\(623\) | 1078.69 | − | 304.218i | 1.73145 | − | 0.488311i | ||||
\(624\) | 79.6394 | + | 27.0688i | 0.127627 | + | 0.0433795i | ||||
\(625\) | −616.387 | + | 103.401i | −0.986220 | + | 0.165442i | ||||
\(626\) | −64.0188 | + | 110.884i | −0.102266 | + | 0.177131i | ||||
\(627\) | −20.3074 | + | 307.980i | −0.0323882 | + | 0.491196i | ||||
\(628\) | −35.8258 | − | 9.59950i | −0.0570475 | − | 0.0152858i | ||||
\(629\) | 1227.14i | 1.95094i | ||||||||
\(630\) | 437.896 | − | 81.8355i | 0.695073 | − | 0.129898i | ||||
\(631\) | −547.403 | −0.867516 | −0.433758 | − | 0.901029i | \(-0.642813\pi\) | ||||
−0.433758 | + | 0.901029i | \(0.642813\pi\) | |||||||
\(632\) | −63.1225 | + | 235.576i | −0.0998773 | + | 0.372747i | ||||
\(633\) | 436.039 | + | 28.7512i | 0.688845 | + | 0.0454206i | ||||
\(634\) | −571.798 | − | 330.128i | −0.901890 | − | 0.520706i | ||||
\(635\) | −216.381 | + | 8.99614i | −0.340757 | + | 0.0141671i | ||||
\(636\) | 3.40427 | − | 10.0158i | 0.00535263 | − | 0.0157480i | ||||
\(637\) | −329.322 | + | 97.5464i | −0.516989 | + | 0.153134i | ||||
\(638\) | 180.699 | − | 180.699i | 0.283227 | − | 0.283227i | ||||
\(639\) | −12.5352 | + | 94.6403i | −0.0196168 | + | 0.148107i | ||||
\(640\) | −30.2949 | − | 47.7726i | −0.0473357 | − | 0.0746447i | ||||
\(641\) | −504.465 | − | 291.253i | −0.786996 | − | 0.454372i | 0.0519078 | − | 0.998652i | \(-0.483470\pi\) |
−0.838904 | + | 0.544279i | \(0.816803\pi\) | |||||||
\(642\) | 289.103 | + | 193.336i | 0.450316 | + | 0.301147i | ||||
\(643\) | 111.140 | − | 111.140i | 0.172847 | − | 0.172847i | −0.615382 | − | 0.788229i | \(-0.710998\pi\) |
0.788229 | + | 0.615382i | \(0.210998\pi\) | |||||||
\(644\) | −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 | ||||
\(647\) | 185.427 | + | 692.021i | 0.286594 | + | 1.06958i | 0.947666 | + | 0.319262i | \(0.103435\pi\) |
−0.661072 | + | 0.750322i | \(0.729898\pi\) | |||||||
\(648\) | 198.588 | − | 114.240i | 0.306463 | − | 0.176296i | ||||
\(649\) | 254.637 | + | 441.044i | 0.392353 | + | 0.679575i | ||||
\(650\) | 203.595 | − | 141.299i | 0.313223 | − | 0.217383i | ||||
\(651\) | 593.208 | + | 659.350i | 0.911226 | + | 1.01283i | ||||
\(652\) | −118.417 | + | 118.417i | −0.181620 | + | 0.181620i | ||||
\(653\) | −359.084 | − | 96.2164i | −0.549900 | − | 0.147345i | −0.0268376 | − | 0.999640i | \(-0.508544\pi\) |
−0.523062 | + | 0.852295i | \(0.675210\pi\) | |||||||
\(654\) | 52.3219 | − | 45.8488i | 0.0800030 | − | 0.0701052i | ||||
\(655\) | 121.922 | − | 544.585i | 0.186140 | − | 0.831428i | ||||
\(656\) | 5.98617 | + | 10.3684i | 0.00912526 | + | 0.0158054i | ||||
\(657\) | 114.305 | + | 873.528i | 0.173981 | + | 1.32957i | ||||
\(658\) | −437.433 | + | 449.034i | −0.664792 | + | 0.682422i | ||||
\(659\) | −287.718 | −0.436598 | −0.218299 | − | 0.975882i | \(-0.570051\pi\) | ||||
−0.218299 | + | 0.975882i | \(0.570051\pi\) | |||||||
\(660\) | −51.3975 | + | 174.727i | −0.0778750 | + | 0.264737i | ||||
\(661\) | 358.917 | + | 207.221i | 0.542991 | + | 0.313496i | 0.746290 | − | 0.665621i | \(-0.231833\pi\) |
−0.203299 | + | 0.979117i | \(0.565166\pi\) | |||||||
\(662\) | −503.465 | + | 134.903i | −0.760521 | + | 0.203781i | ||||
\(663\) | 447.598 | + | 299.329i | 0.675110 | + | 0.451477i | ||||
\(664\) | −188.394 | −0.283725 | ||||||||
\(665\) | 268.073 | − | 529.098i | 0.403117 | − | 0.795636i | ||||
\(666\) | −371.702 | + | 483.625i | −0.558111 | + | 0.726164i | ||||
\(667\) | 827.439 | + | 221.712i | 1.24054 | + | 0.332401i | ||||
\(668\) | 399.816 | − | 107.130i | 0.598527 | − | 0.160375i | ||||
\(669\) | −647.050 | + | 566.999i | −0.967189 | + | 0.847532i | ||||
\(670\) | −173.229 | − | 159.400i | −0.258551 | − | 0.237910i | ||||
\(671\) | 126.364 | 0.188322 | ||||||||
\(672\) | 118.629 | + | 6.26426i | 0.176531 | + | 0.00932182i | ||||
\(673\) | 257.918 | + | 257.918i | 0.383237 | + | 0.383237i | 0.872267 | − | 0.489030i | \(-0.162649\pi\) |
−0.489030 | + | 0.872267i | \(0.662649\pi\) | |||||||
\(674\) | 424.870 | + | 735.897i | 0.630371 | + | 1.09184i | ||||
\(675\) | 77.0671 | − | 670.586i | 0.114174 | − | 0.993461i | ||||
\(676\) | 119.867 | − | 207.616i | 0.177318 | − | 0.307124i | ||||
\(677\) | 563.836 | + | 151.079i | 0.832845 | + | 0.223160i | 0.649955 | − | 0.759973i | \(-0.274788\pi\) |
0.182891 | + | 0.983133i | \(0.441455\pi\) | |||||||
\(678\) | 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 | ||||
\(681\) | −33.4419 | − | 168.469i | −0.0491071 | − | 0.247385i | ||||
\(682\) | −350.256 | + | 93.8509i | −0.513572 | + | 0.137611i | ||||
\(683\) | 107.093 | + | 399.678i | 0.156799 | + | 0.585180i | 0.998945 | + | 0.0459306i | \(0.0146253\pi\) |
−0.842146 | + | 0.539249i | \(0.818708\pi\) | |||||||
\(684\) | 40.0530 | − | 302.399i | 0.0585570 | − | 0.442104i | ||||
\(685\) | 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 | ||||
\(688\) | −32.5438 | + | 121.455i | −0.0473020 | + | 0.176534i | ||||
\(689\) | 10.7026 | + | 6.17916i | 0.0155336 | + | 0.00896830i | ||||
\(690\) | −593.383 | + | 143.645i | −0.859976 | + | 0.208181i | ||||
\(691\) | −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 | ||||
\(693\) | −236.549 | − | 300.548i | −0.341340 | − | 0.433692i | ||||
\(694\) | 85.1262i | 0.122660i | ||||||||
\(695\) | 346.598 | + | 318.928i | 0.498702 | + | 0.458890i | ||||
\(696\) | −189.949 | + | 166.449i | −0.272916 | + | 0.239151i | ||||
\(697\) | 19.8364 | + | 74.0305i | 0.0284597 | + | 0.106213i | ||||
\(698\) | −199.398 | + | 744.164i | −0.285671 | + | 1.06614i | ||||
\(699\) | 1017.22 | + | 345.745i | 1.45525 | + | 0.494628i | ||||
\(700\) | 222.575 | − | 270.112i | 0.317964 | − | 0.385874i | ||||
\(701\) | 733.940i | 1.04699i | 0.852029 | + | 0.523495i | \(0.175372\pi\) | ||||
−0.852029 | + | 0.523495i | \(0.824628\pi\) | |||||||
\(702\) | 85.7347 | + | 253.546i | 0.122129 | + | 0.361177i | ||||
\(703\) | 210.197 | + | 784.467i | 0.299000 | + | 1.11588i | ||||
\(704\) | −24.2839 | + | 42.0610i | −0.0344942 | + | 0.0597457i | ||||
\(705\) | 454.814 | + | 833.902i | 0.645126 | + | 1.18284i | ||||
\(706\) | − | 439.723i | − | 0.622837i | ||||||
\(707\) | −122.978 | + | 126.239i | −0.173943 | + | 0.178556i | ||||
\(708\) | −222.435 | − | 451.501i | −0.314174 | − | 0.637713i | ||||
\(709\) | −897.760 | + | 518.322i | −1.26623 | + | 0.731061i | −0.974273 | − | 0.225369i | \(-0.927641\pi\) |
−0.291961 | + | 0.956430i | \(0.594308\pi\) | |||||||
\(710\) | 40.1688 | + | 63.3431i | 0.0565758 | + | 0.0892156i | ||||
\(711\) | −717.202 | + | 296.416i | −1.00872 | + | 0.416900i | ||||
\(712\) | 117.209 | − | 437.430i | 0.164619 | − | 0.614367i | ||||
\(713\) | −859.506 | − | 859.506i | −1.20548 | − | 1.20548i | ||||
\(714\) | 723.156 | + | 235.285i | 1.01282 | + | 0.329531i | ||||
\(715\) | −188.527 | − | 98.6401i | −0.263674 | − | 0.137958i | ||||
\(716\) | −69.2845 | + | 40.0014i | −0.0967661 | + | 0.0558679i | ||||
\(717\) | −291.531 | − | 19.2228i | −0.406598 | − | 0.0268100i | ||||
\(718\) | 504.606 | − | 135.209i | 0.702793 | − | 0.188313i | ||||
\(719\) | 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 | ||||
\(723\) | −128.651 | − | 86.0350i | −0.177941 | − | 0.118997i | ||||
\(724\) | 210.145 | − | 363.981i | 0.290255 | − | 0.502737i | ||||
\(725\) | 61.7666 | + | 741.541i | 0.0851953 | + | 1.02282i | ||||
\(726\) | −350.157 | + | 69.5079i | −0.482310 | + | 0.0957409i | ||||
\(727\) | 381.491 | + | 381.491i | 0.524747 | + | 0.524747i | 0.919001 | − | 0.394255i | \(-0.128997\pi\) |
−0.394255 | + | 0.919001i | \(0.628997\pi\) | |||||||
\(728\) | −34.1620 | + | 134.511i | −0.0469258 | + | 0.184767i | ||||
\(729\) | 672.850 | + | 280.560i | 0.922976 | + | 0.384856i | ||||
\(730\) | 509.339 | + | 468.678i | 0.697725 | + | 0.642024i | ||||
\(731\) | −402.466 | + | 697.092i | −0.550569 | + | 0.953614i | ||||
\(732\) | −124.616 | − | 8.21683i | −0.170240 | − | 0.0112252i | ||||
\(733\) | 512.084 | + | 137.212i | 0.698614 | + | 0.187193i | 0.590610 | − | 0.806957i | \(-0.298887\pi\) |
0.108004 | + | 0.994150i | \(0.465554\pi\) | |||||||
\(734\) | − | 878.081i | − | 1.19629i | ||||||
\(735\) | 191.567 | + | 709.597i | 0.260635 | + | 0.965437i | ||||
\(736\) | −162.806 | −0.221204 | ||||||||
\(737\) | −52.3106 | + | 195.226i | −0.0709777 | + | 0.264892i | ||||
\(738\) | −14.6062 | + | 35.1845i | −0.0197916 | + | 0.0476754i | ||||
\(739\) | −607.558 | − | 350.774i | −0.822135 | − | 0.474660i | 0.0290169 | − | 0.999579i | \(-0.490762\pi\) |
−0.851152 | + | 0.524919i | \(0.824096\pi\) | |||||||
\(740\) | 19.9071 | + | 478.819i | 0.0269015 | + | 0.647052i | ||||
\(741\) | 337.406 | + | 114.682i | 0.455339 | + | 0.154766i | ||||
\(742\) | 16.9166 | + | 4.29634i | 0.0227986 | + | 0.00579022i | ||||
\(743\) | 701.159 | − | 701.159i | 0.943687 | − | 0.943687i | −0.0548100 | − | 0.998497i | \(-0.517455\pi\) |
0.998497 | + | 0.0548100i | \(0.0174553\pi\) | |||||||
\(744\) | 351.514 | − | 69.7771i | 0.472465 | − | 0.0937865i | ||||
\(745\) | 219.104 | − | 978.670i | 0.294100 | − | 1.31365i | ||||
\(746\) | 176.154 | + | 101.702i | 0.236131 | + | 0.136330i | ||||
\(747\) | −364.558 | − | 475.873i | −0.488029 | − | 0.637046i | ||||
\(748\) | −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 | \(0.944946\pi\) | |||||||
\(752\) | 65.5584 | + | 244.667i | 0.0871787 | + | 0.325355i | ||||
\(753\) | −984.357 | − | 64.9059i | −1.30725 | − | 0.0861964i | ||||
\(754\) | −147.526 | − | 255.522i | −0.195658 | − | 0.338889i | ||||
\(755\) | −1268.65 | + | 397.102i | −1.68033 | + | 0.525962i | ||||
\(756\) | 213.733 | + | 311.772i | 0.282716 | + | 0.412397i | ||||
\(757\) | 787.928 | − | 787.928i | 1.04086 | − | 1.04086i | 0.0417273 | − | 0.999129i | \(-0.486714\pi\) |
0.999129 | − | 0.0417273i | \(-0.0132861\pi\) | |||||||
\(758\) | 1016.03 | + | 272.245i | 1.34041 | + | 0.359162i | ||||
\(759\) | 345.457 | + | 394.230i | 0.455148 | + | 0.519408i | ||||
\(760\) | −128.349 | − | 202.397i | −0.168881 | − | 0.266312i | ||||
\(761\) | −365.742 | − | 633.485i | −0.480608 | − | 0.832437i | 0.519145 | − | 0.854686i | \(-0.326251\pi\) |
−0.999752 | + | 0.0222494i | \(0.992917\pi\) | |||||||
\(762\) | −81.2121 | − | 164.845i | −0.106578 | − | 0.216332i | ||||
\(763\) | 82.2177 | + | 80.0936i | 0.107756 | + | 0.104972i | ||||
\(764\) | −373.481 | −0.488849 | ||||||||
\(765\) | 663.626 | − | 941.999i | 0.867485 | − | 1.23137i | ||||
\(766\) | −224.969 | − | 129.886i | −0.293694 | − | 0.169564i | ||||
\(767\) | 567.967 | − | 152.186i | 0.740504 | − | 0.198418i | ||||
\(768\) | 26.6830 | − | 39.9001i | 0.0347435 | − | 0.0519532i | ||||
\(769\) | 1042.85 | 1.35611 | 0.678056 | − | 0.735010i | \(-0.262823\pi\) | ||||
0.678056 | + | 0.735010i | \(0.262823\pi\) | |||||||
\(770\) | −294.073 | − | 61.8076i | −0.381913 | − | 0.0802696i | ||||
\(771\) | −79.4622 | − | 27.0085i | −0.103064 | − | 0.0350305i | ||||
\(772\) | −338.196 | − | 90.6193i | −0.438077 | − | 0.117382i | ||||
\(773\) | −838.080 | + | 224.563i | −1.08419 | + | 0.290508i | −0.756312 | − | 0.654211i | \(-0.773001\pi\) |
−0.327879 | + | 0.944720i | \(0.606334\pi\) | |||||||
\(774\) | −369.765 | + | 152.822i | −0.477732 | + | 0.197444i | ||||
\(775\) | 450.208 | − | 955.072i | 0.580914 | − | 1.23235i | ||||
\(776\) | 327.117 | 0.421542 | ||||||||
\(777\) | −843.811 | − | 548.453i | −1.08599 | − | 0.705860i | ||||
\(778\) | −433.338 | − | 433.338i | −0.556989 | − | 0.556989i | ||||
\(779\) | 25.3614 | + | 43.9273i | 0.0325564 | + | 0.0563894i | ||||
\(780\) | 179.505 | + | 109.535i | 0.230134 | + | 0.140429i | ||||
\(781\) | 32.1987 | − | 55.7699i | 0.0412276 | − | 0.0714083i | ||||
\(782\) | −1006.70 | − | 269.745i | −1.28735 | − | 0.344943i | ||||
\(783\) | −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 | ||||
\(786\) | 464.472 | − | 92.1999i | 0.590932 | − | 0.117303i | ||||
\(787\) | −856.438 | + | 229.482i | −1.08823 | + | 0.291591i | −0.757964 | − | 0.652296i | \(-0.773806\pi\) |
−0.330268 | + | 0.943887i | \(0.607139\pi\) | |||||||
\(788\) | 23.9200 | + | 89.2707i | 0.0303553 | + | 0.113288i | ||||
\(789\) | −35.3558 | − | 178.111i | −0.0448109 | − | 0.225742i | ||||
\(790\) | −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 | ||||
\(793\) | 37.7613 | − | 140.927i | 0.0476183 | − | 0.177714i | ||||
\(794\) | −463.170 | − | 267.411i | −0.583338 | − | 0.336790i | ||||
\(795\) | 13.7755 | − | 22.5752i | 0.0173277 | − | 0.0283965i | ||||
\(796\) | 68.4993 | − | 39.5481i | 0.0860544 | − | 0.0496835i | ||||
\(797\) | 820.878 | − | 820.878i | 1.02996 | − | 1.02996i | 0.0304222 | − | 0.999537i | \(-0.490315\pi\) |
0.999537 | − | 0.0304222i | \(-0.00968519\pi\) | |||||||
\(798\) | 502.591 | + | 26.5396i | 0.629813 | + | 0.0332577i | ||||
\(799\) | 1621.51i | 2.02942i | ||||||||
\(800\) | −47.8152 | − | 133.093i | −0.0597691 | − | 0.166366i | ||||
\(801\) | 1331.74 | − | 550.400i | 1.66259 | − | 0.687141i | ||||
\(802\) | −61.2524 | − | 228.597i | −0.0763745 | − | 0.285034i | ||||
\(803\) | 153.807 | − | 574.016i | 0.191541 | − | 0.714839i | ||||
\(804\) | 64.2816 | − | 189.124i | 0.0799522 | − | 0.235228i | ||||
\(805\) | −313.457 | − | 957.298i | −0.389387 | − | 1.18919i | ||||
\(806\) | 418.668i | 0.519440i | ||||||||
\(807\) | 643.035 | + | 430.027i | 0.796821 | + | 0.532871i | ||||
\(808\) | 18.4307 | + | 68.7844i | 0.0228103 | + | 0.0851292i | ||||
\(809\) | 743.384 | − | 1287.58i | 0.918893 | − | 1.59157i | 0.117793 | − | 0.993038i | \(-0.462418\pi\) |
0.801100 | − | 0.598531i | \(-0.204249\pi\) | |||||||
\(810\) | 546.873 | − | 170.236i | 0.675151 | − | 0.210168i | ||||
\(811\) | − | 965.711i | − | 1.19077i | −0.803442 | − | 0.595383i | \(-0.797000\pi\) | ||
0.803442 | − | 0.595383i | \(-0.203000\pi\) | |||||||
\(812\) | −298.482 | − | 290.771i | −0.367589 | − | 0.358093i | ||||
\(813\) | −507.081 | + | 249.817i | −0.623716 | + | 0.307279i | ||||
\(814\) | 356.329 | − | 205.726i | 0.437750 | − | 0.252735i | ||||
\(815\) | −353.567 | + | 224.213i | −0.433824 | + | 0.275108i | ||||
\(816\) | 231.102 | − | 202.511i | 0.283213 | − | 0.248175i | ||||
\(817\) | −137.877 | + | 514.565i | −0.168760 | + | 0.629823i | ||||
\(818\) | 565.527 | + | 565.527i | 0.691353 | + | 0.691353i | ||||
\(819\) | −405.874 | + | 173.998i | −0.495573 | + | 0.212452i | ||||
\(820\) | 8.94094 | + | 28.5643i | 0.0109036 | + | 0.0348345i | ||||
\(821\) | −696.928 | + | 402.371i | −0.848877 | + | 0.490099i | −0.860272 | − | 0.509836i | \(-0.829706\pi\) |
0.0113950 | + | 0.999935i | \(0.496373\pi\) | |||||||
\(822\) | −37.6688 | + | 571.282i | −0.0458258 | + | 0.694990i | ||||
\(823\) | −280.864 | + | 75.2572i | −0.341268 | + | 0.0914425i | −0.425383 | − | 0.905014i | \(-0.639860\pi\) |
0.0841147 | + | 0.996456i | \(0.473194\pi\) | |||||||
\(824\) | −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 | 0.316870 | − | 0.948469i | \(-0.397368\pi\) |
−0.948469 | + | 0.316870i | \(0.897368\pi\) | |||||||
\(828\) | −315.044 | − | 411.240i | −0.380488 | − | 0.496667i | ||||
\(829\) | 202.561 | − | 350.845i | 0.244343 | − | 0.423215i | −0.717603 | − | 0.696452i | \(-0.754761\pi\) |
0.961947 | + | 0.273237i | \(0.0880942\pi\) | |||||||
\(830\) | −459.606 | − | 102.897i | −0.553743 | − | 0.123972i | ||||
\(831\) | −158.498 | − | 798.459i | −0.190732 | − | 0.960842i | ||||
\(832\) | 39.6517 | + | 39.6517i | 0.0476583 | + | 0.0476583i | ||||
\(833\) | −292.917 | + | 1220.04i | −0.351642 | + | 1.46463i | ||||
\(834\) | −128.615 | + | 378.400i | −0.154215 | + | 0.453717i | ||||
\(835\) | 1033.91 | − | 42.9851i | 1.23821 | − | 0.0514792i | ||||
\(836\) | −102.883 | + | 178.199i | −0.123066 | + | 0.213156i | ||||
\(837\) | 856.463 | + | 752.883i | 1.02325 | + | 0.899501i | ||||
\(838\) | −589.785 | − | 158.032i | −0.703801 | − | 0.188583i | ||||
\(839\) | − | 168.740i | − | 0.201121i | −0.994931 | − | 0.100560i | \(-0.967936\pi\) | ||
0.994931 | − | 0.100560i | \(-0.0320635\pi\) | |||||||
\(840\) | 285.986 | + | 80.0748i | 0.340460 | + | 0.0953271i | ||||
\(841\) | 44.9172 | 0.0534093 | ||||||||
\(842\) | 149.568 | − | 558.197i | 0.177635 | − | 0.662941i | ||||
\(843\) | −52.3714 | + | 794.261i | −0.0621251 | + | 0.942184i | ||||
\(844\) | 252.294 | + | 145.662i | 0.298926 | + | 0.172585i | ||||
\(845\) | 405.824 | − | 441.032i | 0.480265 | − | 0.521931i | ||||
\(846\) | −491.157 | + | 639.049i | −0.580563 | + | 0.755377i | ||||
\(847\) | −159.877 | − | 566.889i | −0.188756 | − | 0.669291i | ||||
\(848\) | 4.98675 | − | 4.98675i | 0.00588060 | − | 0.00588060i | ||||
\(849\) | 242.941 | + | 1223.86i | 0.286150 | + | 1.44153i | ||||
\(850\) | −75.1483 | − | 902.196i | −0.0884098 | − | 1.06141i | ||||
\(851\) | 1194.46 | + | 689.623i | 1.40360 | + | 0.810368i | ||||
\(852\) | −35.3798 | + | 52.9047i | −0.0415256 | + | 0.0620947i | ||||
\(853\) | 291.118 | − | 291.118i | 0.341287 | − | 0.341287i | −0.515564 | − | 0.856851i | \(-0.672418\pi\) |
0.856851 | + | 0.515564i | \(0.172418\pi\) | |||||||
\(854\) | −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 | ||||
\(857\) | −122.590 | − | 457.510i | −0.143045 | − | 0.533851i | −0.999835 | − | 0.0181851i | \(-0.994211\pi\) |
0.856790 | − | 0.515666i | \(-0.172455\pi\) | |||||||
\(858\) | 11.8788 | − | 180.152i | 0.0138447 | − | 0.209968i | ||||
\(859\) | −438.484 | − | 759.476i | −0.510458 | − | 0.884140i | −0.999927 | − | 0.0121188i | \(-0.996142\pi\) |
0.489468 | − | 0.872021i | \(-0.337191\pi\) | |||||||
\(860\) | −145.730 | + | 278.528i | −0.169454 | + | 0.323870i | ||||
\(861\) | −59.7708 | − | 19.4469i | −0.0694202 | − | 0.0225864i | ||||
\(862\) | 326.483 | − | 326.483i | 0.378751 | − | 0.378751i | ||||
\(863\) | 1178.59 | + | 315.801i | 1.36568 | + | 0.365934i | 0.865900 | − | 0.500217i | \(-0.166746\pi\) |
0.499783 | + | 0.866150i | \(0.333413\pi\) | |||||||
\(864\) | 152.420 | − | 9.81003i | 0.176412 | − | 0.0113542i | ||||
\(865\) | −1046.08 | + | 663.366i | −1.20934 | + | 0.766897i | ||||
\(866\) | −135.145 | − | 234.079i | −0.156057 | − | 0.270299i | ||||
\(867\) | 986.798 | − | 486.154i | 1.13818 | − | 0.560731i | ||||
\(868\) | 160.496 | + | 569.085i | 0.184903 | + | 0.655628i | ||||
\(869\) | 523.482 | 0.602395 | ||||||||
\(870\) | −554.313 | + | 302.325i | −0.637141 | + | 0.347500i | ||||
\(871\) | 202.093 | + | 116.679i | 0.232024 | + | 0.133959i | ||||
\(872\) | 44.7983 | − | 12.0037i | 0.0513742 | − | 0.0137657i | ||||
\(873\) | 632.999 | + | 826.282i | 0.725085 | + | 0.946486i | ||||
\(874\) | −689.756 | −0.789194 | ||||||||
\(875\) | 690.524 | − | 537.402i | 0.789171 | − | 0.614174i | ||||
\(876\) | −189.005 | + | 556.074i | −0.215759 | + | 0.634788i | ||||
\(877\) | −180.617 | − | 48.3962i | −0.205949 | − | 0.0551838i | 0.154370 | − | 0.988013i | \(-0.450665\pi\) |
−0.360318 | + | 0.932829i | \(0.617332\pi\) | |||||||
\(878\) | −843.865 | + | 226.113i | −0.961121 | + | 0.257532i | ||||
\(879\) | −43.7888 | − | 49.9711i | −0.0498166 | − | 0.0568500i | ||||
\(880\) | −82.2161 | + | 89.3490i | −0.0934273 | + | 0.101533i | ||||
\(881\) | 948.872 | 1.07704 | 0.538520 | − | 0.842613i | \(-0.318984\pi\) | ||||
0.538520 | + | 0.842613i | \(0.318984\pi\) | |||||||
\(882\) | −484.993 | + | 392.102i | −0.549878 | + | 0.444561i | ||||
\(883\) | 499.125 | + | 499.125i | 0.565260 | + | 0.565260i | 0.930797 | − | 0.365537i | \(-0.119115\pi\) |
−0.365537 | + | 0.930797i | \(0.619115\pi\) | |||||||
\(884\) | 179.488 | + | 310.881i | 0.203040 | + | 0.351676i | ||||
\(885\) | −296.055 | − | 1222.97i | −0.334526 | − | 1.38189i | ||||
\(886\) | 271.095 | − | 469.550i | 0.305976 | − | 0.529966i | ||||
\(887\) | 263.991 | + | 70.7362i | 0.297622 | + | 0.0797476i | 0.404540 | − | 0.914520i | \(-0.367432\pi\) |
−0.106918 | + | 0.994268i | \(0.534098\pi\) | |||||||
\(888\) | −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 | ||||
\(891\) | −347.173 | − | 348.264i | −0.389645 | − | 0.390869i | ||||
\(892\) | −554.007 | + | 148.446i | −0.621085 | + | 0.166419i | ||||
\(893\) | 277.749 | + | 1036.57i | 0.311029 | + | 1.16078i | ||||
\(894\) | 834.700 | − | 165.692i | 0.933669 | − | 0.185338i | ||||
\(895\) | −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 | ||||
\(898\) | −14.0941 | + | 52.5999i | −0.0156950 | + | 0.0585745i | ||||
\(899\) | −1088.67 | − | 628.543i | −1.21098 | − | 0.699158i | ||||
\(900\) | 243.660 | − | 378.325i | 0.270733 | − | 0.420361i | ||||
\(901\) | 39.0976 | − | 22.5730i | 0.0433936 | − | 0.0250533i | ||||
\(902\) | 18.1710 | − | 18.1710i | 0.0201452 | − | 0.0201452i | ||||
\(903\) | −299.460 | − | 588.301i | −0.331628 | − | 0.651496i | ||||
\(904\) | 463.570i | 0.512798i | ||||||||
\(905\) | 711.470 | − | 773.195i | 0.786154 | − | 0.854359i | ||||
\(906\) | −743.401 | − | 848.357i | −0.820530 | − | 0.936376i | ||||
\(907\) | −0.124619 | − | 0.465083i | −0.000137396 | − | 0.000512770i | 0.965857 | − | 0.259075i | \(-0.0834178\pi\) |
−0.965994 | + | 0.258563i | \(0.916751\pi\) | |||||||
\(908\) | 29.6359 | − | 110.603i | 0.0326386 | − | 0.121809i | ||||
\(909\) | −138.081 | + | 179.659i | −0.151905 | + | 0.197645i | ||||
\(910\) | −156.809 | + | 309.495i | −0.172317 | + | 0.340104i | ||||
\(911\) | − | 67.9841i | − | 0.0746257i | −0.999304 | − | 0.0373129i | \(-0.988120\pi\) | ||
0.999304 | − | 0.0373129i | \(-0.0118798\pi\) | |||||||
\(912\) | 113.047 | − | 169.043i | 0.123955 | − | 0.185355i | ||||
\(913\) | 104.659 | + | 390.592i | 0.114632 | + | 0.427812i | ||||
\(914\) | 452.074 | − | 783.015i | 0.494610 | − | 0.856690i | ||||
\(915\) | −299.526 | − | 88.1083i | −0.327351 | − | 0.0962933i | ||||
\(916\) | 132.764i | 0.144938i | ||||||||
\(917\) | 212.071 | + | 751.960i | 0.231266 | + | 0.820022i | ||||
\(918\) | 958.734 | + | 191.877i | 1.04437 | + | 0.209016i | ||||
\(919\) | 170.595 | − | 98.4931i | 0.185631 | − | 0.107174i | −0.404305 | − | 0.914624i | \(-0.632486\pi\) |
0.589936 | + | 0.807450i | \(0.299153\pi\) | |||||||
\(920\) | −397.183 | − | 88.9212i | −0.431721 | − | 0.0966535i | ||||
\(921\) | −622.182 | − | 710.024i | −0.675550 | − | 0.770927i | ||||
\(922\) | 52.0956 | − | 194.423i | 0.0565028 | − | 0.210871i | ||||
\(923\) | −52.5753 | − | 52.5753i | −0.0569614 | − | 0.0569614i | ||||
\(924\) | −52.9146 | − | 249.430i | −0.0572669 | − | 0.269946i | ||||
\(925\) | −212.955 | + | 1179.00i | −0.230222 | + | 1.27460i | ||||
\(926\) | −107.706 | + | 62.1843i | −0.116314 | + | 0.0671536i | ||||
\(927\) | −1215.72 | − | 504.685i | −1.31146 | − | 0.544429i | ||||
\(928\) | −162.635 | + | 43.5781i | −0.175254 | + | 0.0469591i | ||||
\(929\) | 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 | ||||
\(933\) | −308.996 | + | 462.053i | −0.331185 | + | 0.495233i | ||||
\(934\) | 393.703 | − | 681.914i | 0.421524 | − | 0.730100i | ||||
\(935\) | −656.417 | + | 416.265i | −0.702051 | + | 0.445204i | ||||
\(936\) | −23.4289 | + | 176.888i | −0.0250309 | + | 0.188983i | ||||
\(937\) | −814.574 | − | 814.574i | −0.869342 | − | 0.869342i | 0.123057 | − | 0.992400i | \(-0.460730\pi\) |
−0.992400 | + | 0.123057i | \(0.960730\pi\) | |||||||
\(938\) | 319.429 | + | 81.1262i | 0.340543 | + | 0.0864885i | ||||
\(939\) | −257.160 | − | 87.4066i | −0.273866 | − | 0.0930848i | ||||
\(940\) | 26.3047 | + | 632.698i | 0.0279838 | + | 0.673083i | ||||
\(941\) | 305.395 | − | 528.960i | 0.324543 | − | 0.562126i | −0.656876 | − | 0.753998i | \(-0.728123\pi\) |
0.981420 | + | 0.191873i | \(0.0614561\pi\) | |||||||
\(942\) | 5.17664 | − | 78.5085i | 0.00549538 | − | 0.0833424i | ||||
\(943\) | 83.2068 | + | 22.2952i | 0.0882362 | + | 0.0236428i | ||||
\(944\) | − | 335.546i | − | 0.355452i | ||||||
\(945\) | 351.142 | + | 877.339i | 0.371579 | + | 0.928401i | ||||
\(946\) | 269.889 | 0.285295 | ||||||||
\(947\) | 230.219 | − | 859.188i | 0.243103 | − | 0.907274i | −0.731224 | − | 0.682137i | \(-0.761051\pi\) |
0.974327 | − | 0.225136i | \(-0.0722828\pi\) | |||||||
\(948\) | −516.240 | − | 34.0395i | −0.544557 | − | 0.0359067i | ||||
\(949\) | −594.208 | − | 343.066i | −0.626141 | − | 0.361503i | ||||
\(950\) | −202.577 | − | 563.870i | −0.213239 | − | 0.593548i | ||||
\(951\) | 450.733 | − | 1326.11i | 0.473956 | − | 1.39443i | ||||
\(952\) | 363.149 | + | 353.767i | 0.381459 | + | 0.371604i | ||||
\(953\) | −803.438 | + | 803.438i | −0.843062 | + | 0.843062i | −0.989256 | − | 0.146194i | \(-0.953298\pi\) |
0.146194 | + | 0.989256i | \(0.453298\pi\) | |||||||
\(954\) | 22.2461 | + | 2.94651i | 0.0233187 | + | 0.00308858i | ||||
\(955\) | −911.147 | − | 203.987i | −0.954081 | − | 0.213599i | ||||
\(956\) | −168.681 | − | 97.3879i | −0.176444 | − | 0.101870i | ||||
\(957\) | 450.619 | + | 301.349i | 0.470866 | + | 0.314890i | ||||
\(958\) | 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 | ||||
\(962\) | −122.954 | − | 458.872i | −0.127811 | − | 0.476998i | ||||
\(963\) | −282.870 | + | 681.396i | −0.293738 | + | 0.707577i | ||||
\(964\) | −51.5893 | − | 89.3554i | −0.0535159 | − | 0.0926923i | ||||
\(965\) | −775.571 | − | 405.791i | −0.803700 | − | 0.420509i | ||||
\(966\) | 635.416 | − | 571.675i | 0.657781 | − | 0.591796i | ||||
\(967\) | −986.143 | + | 986.143i | −1.01980 | + | 1.01980i | −0.0199960 | + | 0.999800i | \(0.506365\pi\) |
−0.999800 | + | 0.0199960i | \(0.993635\pi\) | |||||||
\(968\) | −229.884 | − | 61.5971i | −0.237483 | − | 0.0636334i | ||||
\(969\) | 979.102 | − | 857.970i | 1.01043 | − | 0.885418i | ||||
\(970\) | 798.037 | + | 178.664i | 0.822719 | + | 0.184190i | ||||
\(971\) | −196.313 | − | 340.023i | −0.202176 | − | 0.350178i | 0.747054 | − | 0.664764i | \(-0.231468\pi\) |
−0.949229 | + | 0.314585i | \(0.898135\pi\) | |||||||
\(972\) | 319.725 | + | 366.022i | 0.328935 | + | 0.376566i | ||||
\(973\) | −639.116 | − | 162.318i | −0.656851 | − | 0.166822i | ||||
\(974\) | −687.153 | −0.705496 | ||||||||
\(975\) | 378.096 | + | 365.263i | 0.387790 | + | 0.374629i | ||||
\(976\) | −72.1032 | − | 41.6288i | −0.0738762 | − | 0.0426524i | ||||
\(977\) | 368.760 | − | 98.8089i | 0.377441 | − | 0.101135i | −0.0651106 | − | 0.997878i | \(-0.520740\pi\) |
0.442552 | + | 0.896743i | \(0.354073\pi\) | |||||||
\(978\) | −295.302 | − | 197.482i | −0.301945 | − | 0.201924i | ||||
\(979\) | −972.026 | −0.992877 | ||||||||
\(980\) | −94.5019 | + | 480.801i | −0.0964305 | + | 0.490613i | ||||
\(981\) | 117.009 | + | 89.9303i | 0.119276 | + | 0.0916721i | ||||
\(982\) | 233.139 | + | 62.4695i | 0.237413 | + | 0.0636145i | ||||
\(983\) | 329.905 | − | 88.3977i | 0.335610 | − | 0.0899265i | −0.0870784 | − | 0.996201i | \(-0.527753\pi\) |
0.422689 | + | 0.906275i | \(0.361086\pi\) | |||||||
\(984\) | −19.1012 | + | 16.7380i | −0.0194118 | + | 0.0170102i | ||||
\(985\) | 9.59770 | + | 230.850i | 0.00974386 | + | 0.234366i | ||||
\(986\) | −1077.85 | −1.09316 | ||||||||
\(987\) | −1114.99 | − | 724.711i | −1.12967 | − | 0.734257i | ||||
\(988\) | 167.991 | + | 167.991i | 0.170032 | + | 0.170032i | ||||
\(989\) | 452.353 | + | 783.498i | 0.457384 | + | 0.792212i | ||||
\(990\) | −384.786 | − | 34.7760i | −0.388673 | − | 0.0351273i | ||||
\(991\) | 84.4327 | − | 146.242i | 0.0851995 | − | 0.147570i | −0.820277 | − | 0.571967i | \(-0.806181\pi\) |
0.905476 | + | 0.424397i | \(0.139514\pi\) | |||||||
\(992\) | 230.774 | + | 61.8357i | 0.232635 | + | 0.0623344i | ||||
\(993\) | −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 | ||||
\(996\) | −77.8128 | − | 391.995i | −0.0781253 | − | 0.393569i | ||||
\(997\) | 1152.49 | − | 308.807i | 1.15595 | − | 0.309737i | 0.370605 | − | 0.928791i | \(-0.379150\pi\) |
0.785348 | + | 0.619054i | \(0.212484\pi\) | |||||||
\(998\) | −3.26514 | − | 12.1857i | −0.00327169 | − | 0.0122101i | ||||
\(999\) | −1159.81 | − | 573.655i | −1.16098 | − | 0.574229i |
(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.143.1 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.a.143.14 | yes | 64 | ||
5.2 | odd | 4 | 210.3.w.a.17.8 | ✓ | 64 | ||
7.5 | odd | 6 | inner | 210.3.w.b.173.6 | yes | 64 | |
15.2 | even | 4 | inner | 210.3.w.b.17.6 | yes | 64 | |
21.5 | even | 6 | 210.3.w.a.173.8 | yes | 64 | ||
35.12 | even | 12 | 210.3.w.a.47.14 | yes | 64 | ||
105.47 | odd | 12 | inner | 210.3.w.b.47.1 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.8 | ✓ | 64 | 5.2 | odd | 4 | ||
210.3.w.a.47.14 | yes | 64 | 35.12 | even | 12 | ||
210.3.w.a.143.14 | yes | 64 | 3.2 | odd | 2 | ||
210.3.w.a.173.8 | yes | 64 | 21.5 | even | 6 | ||
210.3.w.b.17.6 | yes | 64 | 15.2 | even | 4 | inner | |
210.3.w.b.47.1 | yes | 64 | 105.47 | odd | 12 | inner | |
210.3.w.b.143.1 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.b.173.6 | yes | 64 | 7.5 | odd | 6 | inner |