Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [147,3,Mod(8,147)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(147, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 12]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("147.8");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.l (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.00545988610\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 92.3 | ||
Character | \(\chi\) | \(=\) | 147.92 |
Dual form | 147.3.l.a.8.3 |
$q$-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 \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{7}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.88499 | − | 2.30070i | −1.44250 | − | 1.15035i | −0.961897 | − | 0.273411i | \(-0.911848\pi\) |
−0.480598 | − | 0.876941i | \(-0.659580\pi\) | |||||||
\(3\) | 1.88790 | − | 2.33149i | 0.629299 | − | 0.777163i | ||||
\(4\) | 2.13985 | + | 9.37531i | 0.534963 | + | 2.34383i | ||||
\(5\) | −2.07438 | + | 4.30749i | −0.414876 | + | 0.861498i | 0.583890 | + | 0.811833i | \(0.301530\pi\) |
−0.998766 | + | 0.0496654i | \(0.984184\pi\) | |||||||
\(6\) | −10.8106 | + | 2.38284i | −1.80177 | + | 0.397140i | ||||
\(7\) | 6.99908 | − | 0.113215i | 0.999869 | − | 0.0161736i | ||||
\(8\) | 8.99215 | − | 18.6724i | 1.12402 | − | 2.33405i | ||||
\(9\) | −1.87169 | − | 8.80323i | −0.207966 | − | 0.978136i | ||||
\(10\) | 15.8948 | − | 7.65454i | 1.58948 | − | 0.765454i | ||||
\(11\) | 13.8154 | + | 11.0174i | 1.25594 | + | 1.00158i | 0.999386 | + | 0.0350508i | \(0.0111593\pi\) |
0.256556 | + | 0.966529i | \(0.417412\pi\) | |||||||
\(12\) | 25.8983 | + | 12.7106i | 2.15819 | + | 1.05921i | ||||
\(13\) | 7.90710 | − | 9.91519i | 0.608238 | − | 0.762707i | −0.378398 | − | 0.925643i | \(-0.623525\pi\) |
0.986637 | + | 0.162936i | \(0.0520965\pi\) | |||||||
\(14\) | −20.4528 | − | 15.7762i | −1.46091 | − | 1.12687i | ||||
\(15\) | 6.12666 | + | 12.9685i | 0.408444 | + | 0.864566i | ||||
\(16\) | −34.2456 | + | 16.4918i | −2.14035 | + | 1.03074i | ||||
\(17\) | −11.0157 | − | 2.51427i | −0.647983 | − | 0.147898i | −0.114118 | − | 0.993467i | \(-0.536404\pi\) |
−0.533866 | + | 0.845569i | \(0.679261\pi\) | |||||||
\(18\) | −14.8538 | + | 29.7034i | −0.825211 | + | 1.65019i | ||||
\(19\) | −4.75673 | −0.250354 | −0.125177 | − | 0.992134i | \(-0.539950\pi\) | ||||
−0.125177 | + | 0.992134i | \(0.539950\pi\) | |||||||
\(20\) | −44.8229 | − | 10.2305i | −2.24115 | − | 0.511527i | ||||
\(21\) | 12.9496 | − | 16.5320i | 0.616647 | − | 0.787240i | ||||
\(22\) | −14.5095 | − | 63.5701i | −0.659521 | − | 2.88955i | ||||
\(23\) | 44.3232 | − | 10.1165i | 1.92710 | − | 0.439847i | 0.929649 | − | 0.368446i | \(-0.120110\pi\) |
0.997448 | − | 0.0714011i | \(-0.0227470\pi\) | |||||||
\(24\) | −26.5583 | − | 56.2167i | −1.10659 | − | 2.34236i | ||||
\(25\) | 1.33582 | + | 1.67507i | 0.0534328 | + | 0.0670026i | ||||
\(26\) | −45.6238 | + | 10.4133i | −1.75476 | + | 0.400513i | ||||
\(27\) | −24.0582 | − | 12.2557i | −0.891044 | − | 0.453917i | ||||
\(28\) | 16.0384 | + | 65.3763i | 0.572801 | + | 2.33487i | ||||
\(29\) | −36.8943 | − | 8.42089i | −1.27222 | − | 0.290376i | −0.467479 | − | 0.884004i | \(-0.654838\pi\) |
−0.804739 | + | 0.593629i | \(0.797695\pi\) | |||||||
\(30\) | 12.1613 | − | 51.5096i | 0.405376 | − | 1.71699i | ||||
\(31\) | 5.75431 | 0.185623 | 0.0928115 | − | 0.995684i | \(-0.470415\pi\) | ||||
0.0928115 | + | 0.995684i | \(0.470415\pi\) | |||||||
\(32\) | 55.9203 | + | 12.7634i | 1.74751 | + | 0.398857i | ||||
\(33\) | 51.7689 | − | 11.4107i | 1.56875 | − | 0.345779i | ||||
\(34\) | 25.9957 | + | 32.5975i | 0.764578 | + | 0.958751i | ||||
\(35\) | −14.0311 | + | 30.3833i | −0.400888 | + | 0.868095i | ||||
\(36\) | 78.5278 | − | 36.3853i | 2.18133 | − | 1.01070i | ||||
\(37\) | −1.33751 | + | 5.86002i | −0.0361490 | + | 0.158379i | −0.989781 | − | 0.142596i | \(-0.954455\pi\) |
0.953632 | + | 0.300975i | \(0.0973121\pi\) | |||||||
\(38\) | 13.7231 | + | 10.9438i | 0.361135 | + | 0.287996i | ||||
\(39\) | −8.18937 | − | 37.1542i | −0.209984 | − | 0.952671i | ||||
\(40\) | 61.7780 | + | 77.4672i | 1.54445 | + | 1.93668i | ||||
\(41\) | 15.0560 | − | 31.2640i | 0.367219 | − | 0.762537i | −0.632711 | − | 0.774388i | \(-0.718058\pi\) |
0.999930 | + | 0.0118506i | \(0.00377226\pi\) | |||||||
\(42\) | −75.3948 | + | 17.9016i | −1.79511 | + | 0.426229i | ||||
\(43\) | −1.33216 | + | 0.641533i | −0.0309804 | + | 0.0149194i | −0.449310 | − | 0.893376i | \(-0.648330\pi\) |
0.418329 | + | 0.908295i | \(0.362616\pi\) | |||||||
\(44\) | −73.7285 | + | 153.099i | −1.67565 | + | 3.47952i | ||||
\(45\) | 41.8024 | + | 10.1989i | 0.928942 | + | 0.226643i | ||||
\(46\) | −151.147 | − | 72.7886i | −3.28581 | − | 1.58236i | ||||
\(47\) | 36.8525 | + | 29.3889i | 0.784095 | + | 0.625295i | 0.931483 | − | 0.363784i | \(-0.118515\pi\) |
−0.147388 | + | 0.989079i | \(0.547087\pi\) | |||||||
\(48\) | −26.2017 | + | 110.978i | −0.545868 | + | 2.31204i | ||||
\(49\) | 48.9744 | − | 1.58480i | 0.999477 | − | 0.0323430i | ||||
\(50\) | − | 7.90588i | − | 0.158118i | ||||||
\(51\) | −26.6585 | + | 20.9364i | −0.522716 | + | 0.410517i | ||||
\(52\) | 109.878 | + | 52.9144i | 2.11304 | + | 1.01759i | ||||
\(53\) | 28.3619 | − | 6.47342i | 0.535130 | − | 0.122140i | 0.0535885 | − | 0.998563i | \(-0.482934\pi\) |
0.481542 | + | 0.876423i | \(0.340077\pi\) | |||||||
\(54\) | 41.2108 | + | 90.7085i | 0.763163 | + | 1.67979i | ||||
\(55\) | −76.1155 | + | 36.6553i | −1.38392 | + | 0.666460i | ||||
\(56\) | 60.8228 | − | 131.708i | 1.08612 | − | 2.35192i | ||||
\(57\) | −8.98022 | + | 11.0903i | −0.157548 | + | 0.194566i | ||||
\(58\) | 87.0659 | + | 109.177i | 1.50114 | + | 1.88236i | ||||
\(59\) | 8.21431 | + | 17.0572i | 0.139226 | + | 0.289105i | 0.958910 | − | 0.283710i | \(-0.0915655\pi\) |
−0.819684 | + | 0.572815i | \(0.805851\pi\) | |||||||
\(60\) | −108.473 | + | 85.1900i | −1.80789 | + | 1.41983i | ||||
\(61\) | 6.60984 | − | 28.9596i | 0.108358 | − | 0.474748i | −0.891410 | − | 0.453198i | \(-0.850283\pi\) |
0.999768 | − | 0.0215495i | \(-0.00685995\pi\) | |||||||
\(62\) | −16.6011 | − | 13.2390i | −0.267760 | − | 0.213532i | ||||
\(63\) | −14.0968 | − | 61.4026i | −0.223759 | − | 0.974645i | ||||
\(64\) | −37.1698 | − | 46.6095i | −0.580779 | − | 0.728274i | ||||
\(65\) | 26.3073 | + | 54.6276i | 0.404727 | + | 0.840424i | ||||
\(66\) | −175.605 | − | 86.1851i | −2.66069 | − | 1.30584i | ||||
\(67\) | −19.0586 | −0.284456 | −0.142228 | − | 0.989834i | \(-0.545427\pi\) | ||||
−0.142228 | + | 0.989834i | \(0.545427\pi\) | |||||||
\(68\) | − | 108.656i | − | 1.59788i | ||||||
\(69\) | 60.0912 | − | 122.438i | 0.870887 | − | 1.77446i | ||||
\(70\) | 110.383 | − | 55.3743i | 1.57689 | − | 0.791062i | ||||
\(71\) | 12.6761 | − | 2.89324i | 0.178537 | − | 0.0407499i | −0.132318 | − | 0.991207i | \(-0.542242\pi\) |
0.310855 | + | 0.950457i | \(0.399385\pi\) | |||||||
\(72\) | −181.208 | − | 44.2110i | −2.51678 | − | 0.614041i | ||||
\(73\) | −6.50041 | − | 8.15126i | −0.0890467 | − | 0.111661i | 0.735312 | − | 0.677729i | \(-0.237036\pi\) |
−0.824359 | + | 0.566068i | \(0.808464\pi\) | |||||||
\(74\) | 17.3409 | − | 13.8289i | 0.234336 | − | 0.186877i | ||||
\(75\) | 6.42729 | + | 0.0478994i | 0.0856972 | + | 0.000638658i | ||||
\(76\) | −10.1787 | − | 44.5958i | −0.133930 | − | 0.586787i | ||||
\(77\) | 97.9422 | + | 75.5475i | 1.27198 | + | 0.981136i | ||||
\(78\) | −61.8544 | + | 126.031i | −0.793006 | + | 1.61578i | ||||
\(79\) | −72.6046 | −0.919046 | −0.459523 | − | 0.888166i | \(-0.651980\pi\) | ||||
−0.459523 | + | 0.888166i | \(0.651980\pi\) | |||||||
\(80\) | − | 181.723i | − | 2.27153i | ||||||
\(81\) | −73.9935 | + | 32.9538i | −0.913501 | + | 0.406838i | ||||
\(82\) | −115.366 | + | 55.5571i | −1.40690 | + | 0.677526i | ||||
\(83\) | −16.4344 | + | 13.1060i | −0.198005 | + | 0.157903i | −0.717473 | − | 0.696586i | \(-0.754701\pi\) |
0.519469 | + | 0.854490i | \(0.326130\pi\) | |||||||
\(84\) | 182.703 | + | 86.0303i | 2.17504 | + | 1.02417i | ||||
\(85\) | 33.6809 | − | 42.2346i | 0.396246 | − | 0.496877i | ||||
\(86\) | 5.31924 | + | 1.21408i | 0.0618516 | + | 0.0141172i | ||||
\(87\) | −89.2859 | + | 70.1210i | −1.02627 | + | 0.805988i | ||||
\(88\) | 329.951 | − | 158.896i | 3.74944 | − | 1.80564i | ||||
\(89\) | −8.30646 | + | 6.62418i | −0.0933310 | + | 0.0744290i | −0.669044 | − | 0.743223i | \(-0.733296\pi\) |
0.575713 | + | 0.817652i | \(0.304725\pi\) | |||||||
\(90\) | −97.1349 | − | 125.599i | −1.07928 | − | 1.39554i | ||||
\(91\) | 54.2199 | − | 70.2924i | 0.595823 | − | 0.772444i | ||||
\(92\) | 189.690 | + | 393.896i | 2.06185 | + | 4.28148i | ||||
\(93\) | 10.8636 | − | 13.4161i | 0.116812 | − | 0.144259i | ||||
\(94\) | −38.7040 | − | 169.573i | −0.411744 | − | 1.80397i | ||||
\(95\) | 9.86726 | − | 20.4896i | 0.103866 | − | 0.215680i | ||||
\(96\) | 135.330 | − | 106.281i | 1.40968 | − | 1.10710i | ||||
\(97\) | −53.9849 | −0.556545 | −0.278273 | − | 0.960502i | \(-0.589762\pi\) | ||||
−0.278273 | + | 0.960502i | \(0.589762\pi\) | |||||||
\(98\) | −144.937 | − | 108.103i | −1.47895 | − | 1.10310i | ||||
\(99\) | 71.1304 | − | 142.241i | 0.718489 | − | 1.43678i | ||||
\(100\) | −12.8458 | + | 16.1081i | −0.128458 | + | 0.161081i | ||||
\(101\) | −54.8930 | + | 113.987i | −0.543495 | + | 1.12858i | 0.430621 | + | 0.902533i | \(0.358294\pi\) |
−0.974116 | + | 0.226047i | \(0.927420\pi\) | |||||||
\(102\) | 125.078 | + | 0.932143i | 1.22625 | + | 0.00913866i | ||||
\(103\) | −118.100 | − | 56.8740i | −1.14660 | − | 0.552175i | −0.238591 | − | 0.971120i | \(-0.576686\pi\) |
−0.908011 | + | 0.418945i | \(0.862400\pi\) | |||||||
\(104\) | −114.038 | − | 236.803i | −1.09652 | − | 2.27696i | ||||
\(105\) | 44.3492 | + | 90.0739i | 0.422374 | + | 0.857847i | ||||
\(106\) | −96.7173 | − | 46.5766i | −0.912427 | − | 0.439402i | ||||
\(107\) | −30.5883 | + | 24.3934i | −0.285872 | + | 0.227975i | −0.755917 | − | 0.654667i | \(-0.772809\pi\) |
0.470046 | + | 0.882642i | \(0.344237\pi\) | |||||||
\(108\) | 63.4204 | − | 251.778i | 0.587226 | − | 2.33128i | ||||
\(109\) | −73.1692 | + | 91.7513i | −0.671277 | + | 0.841755i | −0.994518 | − | 0.104562i | \(-0.966656\pi\) |
0.323241 | + | 0.946317i | \(0.395227\pi\) | |||||||
\(110\) | 303.926 | + | 69.3690i | 2.76296 | + | 0.630628i | ||||
\(111\) | 11.1375 | + | 14.1815i | 0.100338 | + | 0.127761i | ||||
\(112\) | −237.821 | + | 119.305i | −2.12340 | + | 1.06522i | ||||
\(113\) | −59.2085 | + | 47.2172i | −0.523969 | + | 0.417851i | −0.849428 | − | 0.527705i | \(-0.823053\pi\) |
0.325459 | + | 0.945556i | \(0.394481\pi\) | |||||||
\(114\) | 51.4233 | − | 11.3345i | 0.451082 | − | 0.0994256i | ||||
\(115\) | −48.3664 | + | 211.907i | −0.420578 | + | 1.84267i | ||||
\(116\) | − | 363.915i | − | 3.13720i | ||||||
\(117\) | −102.085 | − | 51.0498i | −0.872524 | − | 0.436323i | ||||
\(118\) | 15.5453 | − | 68.1085i | 0.131740 | − | 0.577191i | ||||
\(119\) | −77.3846 | − | 16.3504i | −0.650291 | − | 0.137398i | ||||
\(120\) | 297.245 | + | 2.21521i | 2.47704 | + | 0.0184601i | ||||
\(121\) | 42.5564 | + | 186.452i | 0.351706 | + | 1.54092i | ||||
\(122\) | −85.6969 | + | 68.3410i | −0.702433 | + | 0.560172i | ||||
\(123\) | −44.4677 | − | 94.1261i | −0.361526 | − | 0.765253i | ||||
\(124\) | 12.3134 | + | 53.9485i | 0.0993015 | + | 0.435068i | ||||
\(125\) | −126.513 | + | 28.8759i | −1.01211 | + | 0.231007i | ||||
\(126\) | −100.600 | + | 209.579i | −0.798414 | + | 1.66332i | ||||
\(127\) | −28.8211 | + | 126.273i | −0.226937 | + | 0.994278i | 0.725183 | + | 0.688556i | \(0.241755\pi\) |
−0.952121 | + | 0.305722i | \(0.901102\pi\) | |||||||
\(128\) | − | 9.44860i | − | 0.0738172i | ||||||
\(129\) | −1.01925 | + | 4.31706i | −0.00790114 | + | 0.0334656i | ||||
\(130\) | 49.7857 | − | 218.125i | 0.382967 | − | 1.67789i | ||||
\(131\) | −97.2853 | − | 202.015i | −0.742636 | − | 1.54210i | −0.837395 | − | 0.546599i | \(-0.815922\pi\) |
0.0947590 | − | 0.995500i | \(-0.469792\pi\) | |||||||
\(132\) | 217.757 | + | 460.932i | 1.64967 | + | 3.49191i | ||||
\(133\) | −33.2928 | + | 0.538534i | −0.250322 | + | 0.00404913i | ||||
\(134\) | 54.9838 | + | 43.8481i | 0.410327 | + | 0.327225i | ||||
\(135\) | 102.697 | − | 78.2074i | 0.760721 | − | 0.579314i | ||||
\(136\) | −146.002 | + | 183.081i | −1.07355 | + | 1.34619i | ||||
\(137\) | 76.5397 | + | 158.936i | 0.558684 | + | 1.16012i | 0.968744 | + | 0.248061i | \(0.0797933\pi\) |
−0.410060 | + | 0.912058i | \(0.634492\pi\) | |||||||
\(138\) | −455.056 | + | 214.981i | −3.29751 | + | 1.55783i | ||||
\(139\) | 233.256 | + | 112.330i | 1.67810 | + | 0.808129i | 0.997121 | + | 0.0758244i | \(0.0241588\pi\) |
0.680977 | + | 0.732305i | \(0.261555\pi\) | |||||||
\(140\) | −314.878 | − | 66.5298i | −2.24913 | − | 0.475213i | ||||
\(141\) | 138.093 | − | 30.4380i | 0.979386 | − | 0.215873i | ||||
\(142\) | −43.2270 | − | 20.8170i | −0.304416 | − | 0.146599i | ||||
\(143\) | 218.479 | − | 49.8663i | 1.52782 | − | 0.348716i | ||||
\(144\) | 209.278 | + | 270.604i | 1.45332 | + | 1.87920i | ||||
\(145\) | 112.806 | − | 141.454i | 0.777970 | − | 0.975544i | ||||
\(146\) | 38.4718i | 0.263506i | ||||||||
\(147\) | 88.7636 | − | 117.175i | 0.603834 | − | 0.797110i | ||||
\(148\) | −57.8016 | −0.390552 | ||||||||
\(149\) | −70.0517 | − | 55.8644i | −0.470146 | − | 0.374929i | 0.359567 | − | 0.933119i | \(-0.382924\pi\) |
−0.829713 | + | 0.558190i | \(0.811496\pi\) | |||||||
\(150\) | −18.4325 | − | 14.9255i | −0.122883 | − | 0.0995032i | ||||
\(151\) | −0.0184504 | − | 0.0808364i | −0.000122188 | − | 0.000535340i | 0.974867 | − | 0.222789i | \(-0.0715160\pi\) |
−0.974989 | + | 0.222253i | \(0.928659\pi\) | |||||||
\(152\) | −42.7733 | + | 88.8196i | −0.281403 | + | 0.584340i | ||||
\(153\) | −1.51562 | + | 101.680i | −0.00990602 | + | 0.664574i | ||||
\(154\) | −108.750 | − | 443.290i | −0.706169 | − | 2.87851i | ||||
\(155\) | −11.9366 | + | 24.7866i | −0.0770105 | + | 0.159914i | ||||
\(156\) | 330.808 | − | 156.282i | 2.12056 | − | 1.00181i | ||||
\(157\) | −184.954 | + | 89.0690i | −1.17805 | + | 0.567318i | −0.917342 | − | 0.398100i | \(-0.869670\pi\) |
−0.260706 | + | 0.965418i | \(0.583955\pi\) | |||||||
\(158\) | 209.464 | + | 167.042i | 1.32572 | + | 1.05723i | ||||
\(159\) | 38.4516 | − | 78.3466i | 0.241834 | − | 0.492746i | ||||
\(160\) | −170.978 | + | 214.400i | −1.06861 | + | 1.34000i | ||||
\(161\) | 309.077 | − | 75.8242i | 1.91973 | − | 0.470958i | ||||
\(162\) | 289.288 | + | 75.1657i | 1.78573 | + | 0.463986i | ||||
\(163\) | 164.437 | − | 79.1885i | 1.00881 | − | 0.485819i | 0.144893 | − | 0.989447i | \(-0.453716\pi\) |
0.863920 | + | 0.503628i | \(0.168002\pi\) | |||||||
\(164\) | 325.327 | + | 74.2539i | 1.98370 | + | 0.452767i | ||||
\(165\) | −58.2368 | + | 246.664i | −0.352950 | + | 1.49493i | ||||
\(166\) | 77.5660 | 0.467265 | ||||||||
\(167\) | −206.609 | − | 47.1571i | −1.23718 | − | 0.282378i | −0.446598 | − | 0.894735i | \(-0.647364\pi\) |
−0.790581 | + | 0.612357i | \(0.790222\pi\) | |||||||
\(168\) | −192.248 | − | 390.459i | −1.14433 | − | 2.32416i | ||||
\(169\) | 1.81731 | + | 7.96217i | 0.0107533 | + | 0.0471134i | ||||
\(170\) | −194.338 | + | 44.3565i | −1.14317 | + | 0.260920i | ||||
\(171\) | 8.90314 | + | 41.8746i | 0.0520651 | + | 0.244881i | ||||
\(172\) | −8.86519 | − | 11.1166i | −0.0515418 | − | 0.0646314i | ||||
\(173\) | −148.594 | + | 33.9156i | −0.858926 | + | 0.196044i | −0.629231 | − | 0.777218i | \(-0.716630\pi\) |
−0.229695 | + | 0.973263i | \(0.573773\pi\) | |||||||
\(174\) | 418.917 | + | 3.12198i | 2.40757 | + | 0.0179424i | ||||
\(175\) | 9.53916 | + | 11.5727i | 0.0545095 | + | 0.0661297i | ||||
\(176\) | −654.812 | − | 149.457i | −3.72052 | − | 0.849185i | ||||
\(177\) | 55.2764 | + | 13.0506i | 0.312296 | + | 0.0737324i | ||||
\(178\) | 39.2043 | 0.220249 | ||||||||
\(179\) | 50.6847 | + | 11.5685i | 0.283155 | + | 0.0646282i | 0.361740 | − | 0.932279i | \(-0.382183\pi\) |
−0.0785847 | + | 0.996907i | \(0.525040\pi\) | |||||||
\(180\) | −6.16705 | + | 413.735i | −0.0342614 | + | 2.29853i | ||||
\(181\) | −177.282 | − | 222.304i | −0.979457 | − | 1.22820i | −0.973610 | − | 0.228217i | \(-0.926711\pi\) |
−0.00584614 | − | 0.999983i | \(-0.501861\pi\) | |||||||
\(182\) | −318.146 | + | 78.0491i | −1.74805 | + | 0.428841i | ||||
\(183\) | −55.0404 | − | 70.0836i | −0.300767 | − | 0.382970i | ||||
\(184\) | 209.662 | − | 918.590i | 1.13947 | − | 4.99234i | ||||
\(185\) | −22.4675 | − | 17.9172i | −0.121446 | − | 0.0968499i | ||||
\(186\) | −62.2078 | + | 13.7116i | −0.334450 | + | 0.0737182i | ||||
\(187\) | −124.485 | − | 156.100i | −0.665698 | − | 0.834758i | ||||
\(188\) | −196.671 | + | 408.391i | −1.04612 | + | 2.17229i | ||||
\(189\) | −169.773 | − | 83.0553i | −0.898269 | − | 0.439446i | ||||
\(190\) | −75.6074 | + | 36.4106i | −0.397934 | + | 0.191635i | ||||
\(191\) | −46.5434 | + | 96.6484i | −0.243683 | + | 0.506013i | −0.986557 | − | 0.163419i | \(-0.947748\pi\) |
0.742874 | + | 0.669431i | \(0.233462\pi\) | |||||||
\(192\) | −178.842 | − | 1.33282i | −0.931471 | − | 0.00694178i | ||||
\(193\) | 240.062 | + | 115.608i | 1.24385 | + | 0.599005i | 0.935855 | − | 0.352385i | \(-0.114629\pi\) |
0.307991 | + | 0.951389i | \(0.400343\pi\) | |||||||
\(194\) | 155.746 | + | 124.203i | 0.802814 | + | 0.640223i | ||||
\(195\) | 177.029 | + | 41.7961i | 0.907841 | + | 0.214339i | ||||
\(196\) | 119.656 | + | 455.759i | 0.610490 | + | 2.32530i | ||||
\(197\) | − | 366.118i | − | 1.85847i | −0.369492 | − | 0.929234i | \(-0.620468\pi\) | ||
0.369492 | − | 0.929234i | \(-0.379532\pi\) | |||||||
\(198\) | −532.465 | + | 246.714i | −2.68922 | + | 1.24603i | ||||
\(199\) | 76.2415 | + | 36.7160i | 0.383123 | + | 0.184502i | 0.615525 | − | 0.788118i | \(-0.288944\pi\) |
−0.232402 | + | 0.972620i | \(0.574658\pi\) | |||||||
\(200\) | 43.2894 | − | 9.88052i | 0.216447 | − | 0.0494026i | ||||
\(201\) | −35.9806 | + | 44.4349i | −0.179008 | + | 0.221069i | ||||
\(202\) | 420.615 | − | 202.558i | 2.08225 | − | 1.00276i | ||||
\(203\) | −259.180 | − | 54.7615i | −1.27675 | − | 0.269761i | ||||
\(204\) | −253.330 | − | 205.131i | −1.24181 | − | 1.00554i | ||||
\(205\) | 103.438 | + | 129.707i | 0.504574 | + | 0.632716i | ||||
\(206\) | 209.867 | + | 435.794i | 1.01877 | + | 2.11551i | ||||
\(207\) | −172.017 | − | 371.252i | −0.831001 | − | 1.79349i | ||||
\(208\) | −107.264 | + | 469.954i | −0.515692 | + | 2.25939i | ||||
\(209\) | −65.7160 | − | 52.4067i | −0.314431 | − | 0.250750i | ||||
\(210\) | 79.2862 | − | 361.897i | 0.377554 | − | 1.72332i | ||||
\(211\) | −23.8795 | − | 29.9440i | −0.113173 | − | 0.141915i | 0.722018 | − | 0.691874i | \(-0.243215\pi\) |
−0.835191 | + | 0.549959i | \(0.814643\pi\) | |||||||
\(212\) | 121.381 | + | 252.049i | 0.572550 | + | 1.18891i | ||||
\(213\) | 17.1857 | − | 35.0164i | 0.0806838 | − | 0.164396i | ||||
\(214\) | 144.369 | 0.674621 | ||||||||
\(215\) | − | 7.06904i | − | 0.0328792i | ||||||
\(216\) | −445.179 | + | 339.019i | −2.06102 | + | 1.56953i | ||||
\(217\) | 40.2749 | − | 0.651475i | 0.185599 | − | 0.00300219i | ||||
\(218\) | 422.185 | − | 96.3610i | 1.93663 | − | 0.442023i | ||||
\(219\) | −31.2767 | − | 0.233089i | −0.142816 | − | 0.00106433i | ||||
\(220\) | −506.531 | − | 635.170i | −2.30241 | − | 2.88713i | ||||
\(221\) | −112.032 | + | 89.3423i | −0.506931 | + | 0.404264i | ||||
\(222\) | 0.495872 | − | 66.5377i | 0.00223366 | − | 0.299719i | ||||
\(223\) | −72.5682 | − | 317.942i | −0.325418 | − | 1.42575i | −0.827761 | − | 0.561080i | \(-0.810386\pi\) |
0.502344 | − | 0.864668i | \(-0.332471\pi\) | |||||||
\(224\) | 392.836 | + | 83.0013i | 1.75373 | + | 0.370542i | ||||
\(225\) | 12.2457 | − | 14.8947i | 0.0544255 | − | 0.0661988i | ||||
\(226\) | 279.449 | 1.23650 | ||||||||
\(227\) | − | 309.685i | − | 1.36425i | −0.731236 | − | 0.682125i | \(-0.761056\pi\) | ||
0.731236 | − | 0.682125i | \(-0.238944\pi\) | |||||||
\(228\) | −123.191 | − | 60.4608i | −0.540312 | − | 0.265179i | ||||
\(229\) | −343.402 | + | 165.373i | −1.49957 | + | 0.722155i | −0.990364 | − | 0.138490i | \(-0.955775\pi\) |
−0.509206 | + | 0.860644i | \(0.670061\pi\) | |||||||
\(230\) | 627.073 | − | 500.074i | 2.72640 | − | 2.17423i | ||||
\(231\) | 361.043 | − | 85.7254i | 1.56296 | − | 0.371106i | ||||
\(232\) | −488.998 | + | 613.184i | −2.10775 | + | 2.64303i | ||||
\(233\) | −8.39202 | − | 1.91542i | −0.0360172 | − | 0.00822070i | 0.204474 | − | 0.978872i | \(-0.434452\pi\) |
−0.240492 | + | 0.970651i | \(0.577309\pi\) | |||||||
\(234\) | 177.065 | + | 382.146i | 0.756686 | + | 1.63310i | ||||
\(235\) | −203.038 | + | 97.7780i | −0.863992 | + | 0.416077i | ||||
\(236\) | −142.339 | + | 113.512i | −0.603131 | + | 0.480981i | ||||
\(237\) | −137.070 | + | 169.277i | −0.578355 | + | 0.714249i | ||||
\(238\) | 185.636 | + | 225.210i | 0.779985 | + | 0.946260i | ||||
\(239\) | −7.66291 | − | 15.9122i | −0.0320624 | − | 0.0665782i | 0.884322 | − | 0.466877i | \(-0.154621\pi\) |
−0.916385 | + | 0.400298i | \(0.868906\pi\) | |||||||
\(240\) | −423.685 | − | 343.074i | −1.76535 | − | 1.42947i | ||||
\(241\) | −65.6193 | − | 287.497i | −0.272279 | − | 1.19293i | −0.907315 | − | 0.420451i | \(-0.861872\pi\) |
0.635036 | − | 0.772482i | \(-0.280985\pi\) | |||||||
\(242\) | 306.196 | − | 635.822i | 1.26527 | − | 2.62736i | ||||
\(243\) | −62.8606 | + | 234.729i | −0.258686 | + | 0.965962i | ||||
\(244\) | 285.650 | 1.17069 | ||||||||
\(245\) | −94.7648 | + | 214.244i | −0.386795 | + | 0.874466i | ||||
\(246\) | −88.2674 | + | 373.860i | −0.358811 | + | 1.51976i | ||||
\(247\) | −37.6120 | + | 47.1639i | −0.152275 | + | 0.190947i | ||||
\(248\) | 51.7437 | − | 107.447i | 0.208644 | − | 0.433253i | ||||
\(249\) | −0.469949 | + | 63.0593i | −0.00188735 | + | 0.253250i | ||||
\(250\) | 431.425 | + | 207.763i | 1.72570 | + | 0.831053i | ||||
\(251\) | 50.3340 | + | 104.520i | 0.200534 | + | 0.416413i | 0.976848 | − | 0.213933i | \(-0.0686274\pi\) |
−0.776315 | + | 0.630346i | \(0.782913\pi\) | |||||||
\(252\) | 545.503 | − | 263.554i | 2.16470 | − | 1.04585i | ||||
\(253\) | 723.798 | + | 348.563i | 2.86086 | + | 1.37772i | ||||
\(254\) | 373.666 | − | 297.989i | 1.47113 | − | 1.17318i | ||||
\(255\) | −34.8833 | − | 158.261i | −0.136797 | − | 0.620632i | ||||
\(256\) | −170.418 | + | 213.697i | −0.665695 | + | 0.834755i | ||||
\(257\) | 194.184 | + | 44.3212i | 0.755579 | + | 0.172456i | 0.582924 | − | 0.812527i | \(-0.301908\pi\) |
0.172654 | + | 0.984982i | \(0.444766\pi\) | |||||||
\(258\) | 12.8728 | − | 10.1097i | 0.0498946 | − | 0.0391849i | ||||
\(259\) | −8.69792 | + | 41.1662i | −0.0335827 | + | 0.158943i | ||||
\(260\) | −455.857 | + | 363.534i | −1.75330 | + | 1.39821i | ||||
\(261\) | −5.07618 | + | 340.550i | −0.0194490 | + | 1.30479i | ||||
\(262\) | −184.109 | + | 806.636i | −0.702708 | + | 3.07876i | ||||
\(263\) | 209.894i | 0.798077i | 0.916934 | + | 0.399038i | \(0.130656\pi\) | ||||
−0.916934 | + | 0.399038i | \(0.869344\pi\) | |||||||
\(264\) | 252.449 | − | 1069.26i | 0.956245 | − | 4.05021i | ||||
\(265\) | −30.9491 | + | 135.597i | −0.116789 | + | 0.511687i | ||||
\(266\) | 97.2884 | + | 75.0432i | 0.365746 | + | 0.282117i | ||||
\(267\) | −0.237527 | + | 31.8722i | −0.000889615 | + | 0.119371i | ||||
\(268\) | −40.7825 | − | 178.680i | −0.152174 | − | 0.666716i | ||||
\(269\) | −2.68233 | + | 2.13909i | −0.00997150 | + | 0.00795201i | −0.628463 | − | 0.777840i | \(-0.716316\pi\) |
0.618491 | + | 0.785792i | \(0.287744\pi\) | |||||||
\(270\) | −476.213 | − | 10.6485i | −1.76375 | − | 0.0394389i | ||||
\(271\) | −54.2212 | − | 237.559i | −0.200078 | − | 0.876600i | −0.970888 | − | 0.239534i | \(-0.923005\pi\) |
0.770810 | − | 0.637065i | \(-0.219852\pi\) | |||||||
\(272\) | 418.705 | − | 95.5666i | 1.53936 | − | 0.351348i | ||||
\(273\) | −61.5245 | − | 259.118i | −0.225365 | − | 0.949150i | ||||
\(274\) | 144.849 | − | 634.625i | 0.528646 | − | 2.31615i | ||||
\(275\) | 37.8589i | 0.137669i | ||||||||
\(276\) | 1276.48 | + | 301.374i | 4.62493 | + | 1.09193i | ||||
\(277\) | −14.9609 | + | 65.5480i | −0.0540105 | + | 0.236636i | −0.994727 | − | 0.102558i | \(-0.967297\pi\) |
0.940716 | + | 0.339194i | \(0.110154\pi\) | |||||||
\(278\) | −414.502 | − | 860.723i | −1.49102 | − | 3.09613i | ||||
\(279\) | −10.7703 | − | 50.6565i | −0.0386032 | − | 0.181565i | ||||
\(280\) | 441.160 | + | 535.205i | 1.57557 | + | 1.91145i | ||||
\(281\) | 168.356 | + | 134.260i | 0.599132 | + | 0.477792i | 0.875473 | − | 0.483268i | \(-0.160550\pi\) |
−0.276340 | + | 0.961060i | \(0.589122\pi\) | |||||||
\(282\) | −468.427 | − | 229.899i | −1.66109 | − | 0.815244i | ||||
\(283\) | −126.066 | + | 158.082i | −0.445463 | + | 0.558592i | −0.952974 | − | 0.303053i | \(-0.901994\pi\) |
0.507511 | + | 0.861645i | \(0.330566\pi\) | |||||||
\(284\) | 54.2501 | + | 112.652i | 0.191022 | + | 0.396660i | ||||
\(285\) | −29.1429 | − | 61.6876i | −0.102256 | − | 0.216448i | ||||
\(286\) | −745.037 | − | 358.791i | −2.60502 | − | 1.25451i | ||||
\(287\) | 101.838 | − | 220.524i | 0.354838 | − | 0.768377i | ||||
\(288\) | 7.69391 | − | 516.168i | 0.0267150 | − | 1.79225i | ||||
\(289\) | −145.356 | − | 69.9995i | −0.502960 | − | 0.242213i | ||||
\(290\) | −650.887 | + | 148.561i | −2.24444 | + | 0.512278i | ||||
\(291\) | −101.918 | + | 125.865i | −0.350233 | + | 0.432527i | ||||
\(292\) | 62.5106 | − | 78.3858i | 0.214077 | − | 0.268445i | ||||
\(293\) | − | 207.133i | − | 0.706939i | −0.935446 | − | 0.353469i | \(-0.885002\pi\) | ||
0.935446 | − | 0.353469i | \(-0.114998\pi\) | |||||||
\(294\) | −525.668 | + | 133.831i | −1.78798 | + | 0.455206i | ||||
\(295\) | −90.5133 | −0.306825 | ||||||||
\(296\) | 97.3936 | + | 77.6688i | 0.329032 | + | 0.262395i | ||||
\(297\) | −197.346 | − | 434.376i | −0.664466 | − | 1.46254i | ||||
\(298\) | 73.5712 | + | 322.337i | 0.246883 | + | 1.08167i | ||||
\(299\) | 250.161 | − | 519.465i | 0.836659 | − | 1.73734i | ||||
\(300\) | 13.3044 | + | 60.3603i | 0.0443480 | + | 0.201201i | ||||
\(301\) | −9.25125 | + | 4.64096i | −0.0307350 | + | 0.0154185i | ||||
\(302\) | −0.132751 | + | 0.275661i | −0.000439574 | + | 0.000912785i | ||||
\(303\) | 162.126 | + | 343.177i | 0.535070 | + | 1.13260i | ||||
\(304\) | 162.897 | − | 78.4471i | 0.535846 | − | 0.258050i | ||||
\(305\) | 111.032 | + | 88.5450i | 0.364039 | + | 0.290312i | ||||
\(306\) | 238.308 | − | 289.858i | 0.778783 | − | 0.947249i | ||||
\(307\) | −162.921 | + | 204.297i | −0.530688 | + | 0.665461i | −0.972840 | − | 0.231479i | \(-0.925644\pi\) |
0.442152 | + | 0.896940i | \(0.354215\pi\) | |||||||
\(308\) | −498.699 | + | 1079.90i | −1.61915 | + | 3.50617i | ||||
\(309\) | −355.562 | + | 167.977i | −1.15069 | + | 0.543615i | ||||
\(310\) | 91.4638 | − | 44.0466i | 0.295044 | − | 0.142086i | ||||
\(311\) | −446.981 | − | 102.021i | −1.43724 | − | 0.328040i | −0.568243 | − | 0.822861i | \(-0.692377\pi\) |
−0.868995 | + | 0.494820i | \(0.835234\pi\) | |||||||
\(312\) | −767.398 | − | 181.181i | −2.45961 | − | 0.580707i | ||||
\(313\) | 294.852 | 0.942018 | 0.471009 | − | 0.882128i | \(-0.343890\pi\) | ||||
0.471009 | + | 0.882128i | \(0.343890\pi\) | |||||||
\(314\) | 738.511 | + | 168.560i | 2.35195 | + | 0.536816i | ||||
\(315\) | 293.733 | + | 66.6504i | 0.932486 | + | 0.211589i | ||||
\(316\) | −155.363 | − | 680.691i | −0.491656 | − | 2.15408i | ||||
\(317\) | 57.9053 | − | 13.2165i | 0.182666 | − | 0.0416924i | −0.130209 | − | 0.991487i | \(-0.541565\pi\) |
0.312876 | + | 0.949794i | \(0.398708\pi\) | |||||||
\(318\) | −291.185 | + | 137.564i | −0.915676 | + | 0.432590i | ||||
\(319\) | −416.932 | − | 522.817i | −1.30700 | − | 1.63892i | ||||
\(320\) | 277.874 | − | 63.4230i | 0.868357 | − | 0.198197i | ||||
\(321\) | −0.874688 | + | 117.368i | −0.00272488 | + | 0.365634i | ||||
\(322\) | −1066.13 | − | 492.342i | −3.31097 | − | 1.52901i | ||||
\(323\) | 52.3988 | + | 11.9597i | 0.162225 | + | 0.0370269i | ||||
\(324\) | −467.288 | − | 623.196i | −1.44225 | − | 1.92344i | ||||
\(325\) | 27.1710 | 0.0836032 | ||||||||
\(326\) | −656.587 | − | 149.862i | −2.01407 | − | 0.459699i | ||||
\(327\) | 75.7813 | + | 343.810i | 0.231747 | + | 1.05141i | ||||
\(328\) | −448.389 | − | 562.262i | −1.36704 | − | 1.71421i | ||||
\(329\) | 261.261 | + | 201.523i | 0.794106 | + | 0.612532i | ||||
\(330\) | 735.513 | − | 577.638i | 2.22883 | − | 1.75042i | ||||
\(331\) | −49.6346 | + | 217.463i | −0.149953 | + | 0.656989i | 0.842943 | + | 0.538003i | \(0.180821\pi\) |
−0.992896 | + | 0.118985i | \(0.962036\pi\) | |||||||
\(332\) | −158.040 | − | 126.032i | −0.476023 | − | 0.379616i | ||||
\(333\) | 54.0905 | + | 0.806264i | 0.162434 | + | 0.00242121i | ||||
\(334\) | 487.570 | + | 611.394i | 1.45979 | + | 1.83052i | ||||
\(335\) | 39.5347 | − | 82.0946i | 0.118014 | − | 0.245058i | ||||
\(336\) | −170.823 | + | 779.711i | −0.508402 | + | 2.32057i | ||||
\(337\) | 83.9595 | − | 40.4328i | 0.249138 | − | 0.119979i | −0.305148 | − | 0.952305i | \(-0.598706\pi\) |
0.554286 | + | 0.832326i | \(0.312992\pi\) | |||||||
\(338\) | 13.0757 | − | 27.1519i | 0.0386854 | − | 0.0803310i | ||||
\(339\) | −1.69310 | + | 227.185i | −0.00499439 | + | 0.670163i | ||||
\(340\) | 468.034 | + | 225.393i | 1.37657 | + | 0.662922i | ||||
\(341\) | 79.4979 | + | 63.3975i | 0.233132 | + | 0.185916i | ||||
\(342\) | 70.6556 | − | 141.291i | 0.206595 | − | 0.413133i | ||||
\(343\) | 342.596 | − | 16.6368i | 0.998823 | − | 0.0485038i | ||||
\(344\) | 30.6433i | 0.0890795i | ||||||||
\(345\) | 402.749 | + | 512.825i | 1.16739 | + | 1.48645i | ||||
\(346\) | 506.723 | + | 244.025i | 1.46452 | + | 0.705274i | ||||
\(347\) | 81.7592 | − | 18.6610i | 0.235617 | − | 0.0537781i | −0.103082 | − | 0.994673i | \(-0.532870\pi\) |
0.338699 | + | 0.940895i | \(0.390013\pi\) | |||||||
\(348\) | −848.465 | − | 687.034i | −2.43812 | − | 1.97424i | ||||
\(349\) | 523.191 | − | 251.956i | 1.49911 | − | 0.721936i | 0.508814 | − | 0.860876i | \(-0.330084\pi\) |
0.990301 | + | 0.138941i | \(0.0443697\pi\) | |||||||
\(350\) | −0.895065 | − | 55.3339i | −0.00255733 | − | 0.158097i | ||||
\(351\) | −311.748 | + | 141.634i | −0.888172 | + | 0.403516i | ||||
\(352\) | 631.939 | + | 792.426i | 1.79528 | + | 2.25121i | ||||
\(353\) | 45.5131 | + | 94.5090i | 0.128932 | + | 0.267731i | 0.955435 | − | 0.295202i | \(-0.0953871\pi\) |
−0.826502 | + | 0.562933i | \(0.809673\pi\) | |||||||
\(354\) | −129.446 | − | 164.826i | −0.365668 | − | 0.465609i | ||||
\(355\) | −13.8325 | + | 60.6040i | −0.0389647 | + | 0.170715i | ||||
\(356\) | −79.8783 | − | 63.7008i | −0.224377 | − | 0.178935i | ||||
\(357\) | −184.215 | + | 149.554i | −0.516008 | + | 0.418917i | ||||
\(358\) | −119.609 | − | 149.985i | −0.334104 | − | 0.418954i | ||||
\(359\) | −216.547 | − | 449.664i | −0.603195 | − | 1.25255i | −0.949306 | − | 0.314353i | \(-0.898212\pi\) |
0.346112 | − | 0.938193i | \(-0.387502\pi\) | |||||||
\(360\) | 566.332 | − | 688.841i | 1.57314 | − | 1.91345i | ||||
\(361\) | −338.373 | −0.937323 | ||||||||
\(362\) | 1049.22i | 2.89839i | ||||||||
\(363\) | 515.053 | + | 252.782i | 1.41888 | + | 0.696369i | ||||
\(364\) | 775.036 | + | 357.913i | 2.12922 | + | 0.983277i | ||||
\(365\) | 48.5958 | − | 11.0917i | 0.133139 | − | 0.0303881i | ||||
\(366\) | −2.45055 | + | 328.822i | −0.00669548 | + | 0.898421i | ||||
\(367\) | 16.0821 | + | 20.1663i | 0.0438203 | + | 0.0549489i | 0.803259 | − | 0.595630i | \(-0.203098\pi\) |
−0.759438 | + | 0.650579i | \(0.774526\pi\) | |||||||
\(368\) | −1351.04 | + | 1077.42i | −3.67129 | + | 2.92776i | ||||
\(369\) | −303.404 | − | 74.0244i | −0.822234 | − | 0.200608i | ||||
\(370\) | 23.5963 | + | 103.382i | 0.0637737 | + | 0.279411i | ||||
\(371\) | 197.774 | − | 48.5190i | 0.533085 | − | 0.130779i | ||||
\(372\) | 149.027 | + | 73.1406i | 0.400609 | + | 0.196615i | ||||
\(373\) | 296.912 | 0.796011 | 0.398005 | − | 0.917383i | \(-0.369703\pi\) | ||||
0.398005 | + | 0.917383i | \(0.369703\pi\) | |||||||
\(374\) | 736.751i | 1.96992i | ||||||||
\(375\) | −171.521 | + | 349.479i | −0.457388 | + | 0.931945i | ||||
\(376\) | 880.144 | − | 423.855i | 2.34081 | − | 1.12727i | ||||
\(377\) | −375.222 | + | 299.229i | −0.995283 | + | 0.793712i | ||||
\(378\) | 298.708 | + | 630.211i | 0.790232 | + | 1.66722i | ||||
\(379\) | −164.817 | + | 206.674i | −0.434874 | + | 0.545314i | −0.950184 | − | 0.311689i | \(-0.899105\pi\) |
0.515310 | + | 0.857004i | \(0.327677\pi\) | |||||||
\(380\) | 213.211 | + | 48.6639i | 0.561081 | + | 0.128063i | ||||
\(381\) | 239.994 | + | 305.587i | 0.629905 | + | 0.802065i | ||||
\(382\) | 356.637 | − | 171.747i | 0.933604 | − | 0.449600i | ||||
\(383\) | 503.818 | − | 401.782i | 1.31545 | − | 1.04904i | 0.320652 | − | 0.947197i | \(-0.396098\pi\) |
0.994801 | − | 0.101842i | \(-0.0324736\pi\) | |||||||
\(384\) | −22.0293 | − | 17.8380i | −0.0573680 | − | 0.0464531i | ||||
\(385\) | −528.589 | + | 265.171i | −1.37296 | + | 0.688756i | ||||
\(386\) | −426.598 | − | 885.840i | −1.10518 | − | 2.29492i | ||||
\(387\) | 8.14095 | + | 10.5265i | 0.0210360 | + | 0.0272003i | ||||
\(388\) | −115.520 | − | 506.125i | −0.297731 | − | 1.30445i | ||||
\(389\) | −230.191 | + | 477.996i | −0.591750 | + | 1.22878i | 0.363115 | + | 0.931744i | \(0.381713\pi\) |
−0.954866 | + | 0.297038i | \(0.904001\pi\) | |||||||
\(390\) | −414.567 | − | 527.873i | −1.06299 | − | 1.35352i | ||||
\(391\) | −513.688 | −1.31378 | ||||||||
\(392\) | 410.793 | − | 928.720i | 1.04794 | − | 2.36918i | ||||
\(393\) | −654.660 | − | 154.564i | −1.66580 | − | 0.393292i | ||||
\(394\) | −842.329 | + | 1056.25i | −2.13789 | + | 2.68083i | ||||
\(395\) | 150.609 | − | 312.744i | 0.381290 | − | 0.791756i | ||||
\(396\) | 1485.76 | + | 362.495i | 3.75192 | + | 0.915391i | ||||
\(397\) | −15.1027 | − | 7.27309i | −0.0380422 | − | 0.0183201i | 0.414766 | − | 0.909928i | \(-0.363863\pi\) |
−0.452808 | + | 0.891608i | \(0.649578\pi\) | |||||||
\(398\) | −135.483 | − | 281.334i | −0.340411 | − | 0.706870i | ||||
\(399\) | −61.5977 | + | 78.6385i | −0.154380 | + | 0.197089i | ||||
\(400\) | −73.3708 | − | 35.3335i | −0.183427 | − | 0.0883338i | ||||
\(401\) | 152.550 | − | 121.655i | 0.380424 | − | 0.303378i | −0.414544 | − | 0.910029i | \(-0.636059\pi\) |
0.794968 | + | 0.606651i | \(0.207488\pi\) | |||||||
\(402\) | 206.035 | − | 45.4135i | 0.512525 | − | 0.112969i | ||||
\(403\) | 45.4999 | − | 57.0551i | 0.112903 | − | 0.141576i | ||||
\(404\) | −1186.12 | − | 270.725i | −2.93594 | − | 0.670110i | ||||
\(405\) | 11.5422 | − | 387.085i | 0.0284993 | − | 0.955766i | ||||
\(406\) | 621.742 | + | 754.283i | 1.53138 | + | 1.85784i | ||||
\(407\) | −83.0403 | + | 66.2225i | −0.204030 | + | 0.162709i | ||||
\(408\) | 151.215 | + | 686.042i | 0.370624 | + | 1.68147i | ||||
\(409\) | 72.8014 | − | 318.964i | 0.177998 | − | 0.779862i | −0.804554 | − | 0.593879i | \(-0.797596\pi\) |
0.982553 | − | 0.185983i | \(-0.0595470\pi\) | |||||||
\(410\) | − | 612.183i | − | 1.49313i | ||||||
\(411\) | 515.058 | + | 121.604i | 1.25318 | + | 0.295873i | ||||
\(412\) | 280.495 | − | 1228.93i | 0.680812 | − | 2.98283i | ||||
\(413\) | 59.4238 | + | 118.455i | 0.143883 | + | 0.286815i | ||||
\(414\) | −357.874 | + | 1466.82i | −0.864430 | + | 3.54304i | ||||
\(415\) | −22.3628 | − | 97.9777i | −0.0538862 | − | 0.236091i | ||||
\(416\) | 568.719 | − | 453.538i | 1.36711 | − | 1.09024i | ||||
\(417\) | 702.259 | − | 331.766i | 1.68407 | − | 0.795601i | ||||
\(418\) | 69.0176 | + | 302.386i | 0.165114 | + | 0.723412i | ||||
\(419\) | −558.912 | + | 127.568i | −1.33392 | + | 0.304458i | −0.829261 | − | 0.558862i | \(-0.811238\pi\) |
−0.504657 | + | 0.863320i | \(0.668381\pi\) | |||||||
\(420\) | −749.570 | + | 608.533i | −1.78469 | + | 1.44889i | ||||
\(421\) | −66.1221 | + | 289.700i | −0.157060 | + | 0.688124i | 0.833669 | + | 0.552265i | \(0.186236\pi\) |
−0.990728 | + | 0.135858i | \(0.956621\pi\) | |||||||
\(422\) | 141.328i | 0.334900i | ||||||||
\(423\) | 189.740 | − | 379.427i | 0.448559 | − | 0.896992i | ||||
\(424\) | 134.160 | − | 587.795i | 0.316416 | − | 1.38631i | ||||
\(425\) | −10.5035 | − | 21.8107i | −0.0247140 | − | 0.0513192i | ||||
\(426\) | −130.143 | + | 61.4830i | −0.305500 | + | 0.144326i | ||||
\(427\) | 42.9842 | − | 203.439i | 0.100666 | − | 0.476438i | ||||
\(428\) | −294.150 | − | 234.577i | −0.687266 | − | 0.548076i | ||||
\(429\) | 296.202 | − | 603.524i | 0.690449 | − | 1.40681i | ||||
\(430\) | −16.2638 | + | 20.3941i | −0.0378227 | + | 0.0474282i | ||||
\(431\) | 119.127 | + | 247.369i | 0.276396 | + | 0.573943i | 0.992243 | − | 0.124315i | \(-0.0396733\pi\) |
−0.715847 | + | 0.698258i | \(0.753959\pi\) | |||||||
\(432\) | 1026.01 | + | 22.9423i | 2.37502 | + | 0.0531072i | ||||
\(433\) | 460.129 | + | 221.587i | 1.06265 | + | 0.511747i | 0.881732 | − | 0.471750i | \(-0.156378\pi\) |
0.180922 | + | 0.983497i | \(0.442092\pi\) | |||||||
\(434\) | −117.692 | − | 90.7812i | −0.271179 | − | 0.209173i | ||||
\(435\) | −116.833 | − | 530.056i | −0.268581 | − | 1.21852i | ||||
\(436\) | −1016.77 | − | 489.650i | −2.33204 | − | 1.12305i | ||||
\(437\) | −210.834 | + | 48.1214i | −0.482457 | + | 0.110118i | ||||
\(438\) | 89.6967 | + | 72.6308i | 0.204787 | + | 0.165824i | ||||
\(439\) | −351.313 | + | 440.532i | −0.800257 | + | 1.00349i | 0.199465 | + | 0.979905i | \(0.436080\pi\) |
−0.999722 | + | 0.0235853i | \(0.992492\pi\) | |||||||
\(440\) | 1750.87i | 3.97925i | ||||||||
\(441\) | −105.616 | − | 428.166i | −0.239493 | − | 0.970898i | ||||
\(442\) | 528.761 | 1.19629 | ||||||||
\(443\) | −61.0977 | − | 48.7238i | −0.137918 | − | 0.109986i | 0.552101 | − | 0.833777i | \(-0.313826\pi\) |
−0.690019 | + | 0.723791i | \(0.742398\pi\) | |||||||
\(444\) | −109.124 | + | 134.764i | −0.245774 | + | 0.303522i | ||||
\(445\) | −11.3028 | − | 49.5210i | −0.0253997 | − | 0.111283i | ||||
\(446\) | −522.132 | + | 1084.22i | −1.17070 | + | 2.43098i | ||||
\(447\) | −262.498 | + | 57.8587i | −0.587243 | + | 0.129438i | ||||
\(448\) | −265.432 | − | 322.016i | −0.592482 | − | 0.718785i | ||||
\(449\) | 210.149 | − | 436.379i | 0.468038 | − | 0.971891i | −0.524665 | − | 0.851309i | \(-0.675810\pi\) |
0.992703 | − | 0.120582i | \(-0.0384762\pi\) | |||||||
\(450\) | −69.5972 | + | 14.7974i | −0.154660 | + | 0.0328830i | ||||
\(451\) | 552.451 | − | 266.046i | 1.22495 | − | 0.589903i | ||||
\(452\) | −569.374 | − | 454.060i | −1.25968 | − | 1.00456i | ||||
\(453\) | −0.223302 | − | 0.109594i | −0.000492940 | − | 0.000241929i | ||||
\(454\) | −712.493 | + | 893.437i | −1.56937 | + | 1.96792i | ||||
\(455\) | 190.311 | + | 379.365i | 0.418267 | + | 0.833768i | ||||
\(456\) | 126.331 | + | 267.408i | 0.277041 | + | 0.586421i | ||||
\(457\) | 251.015 | − | 120.882i | 0.549267 | − | 0.264513i | −0.138602 | − | 0.990348i | \(-0.544261\pi\) |
0.687869 | + | 0.725835i | \(0.258547\pi\) | |||||||
\(458\) | 1371.19 | + | 312.964i | 2.99386 | + | 0.683328i | ||||
\(459\) | 234.204 | + | 195.495i | 0.510248 | + | 0.425914i | ||||
\(460\) | −2090.19 | −4.54390 | ||||||||
\(461\) | −478.345 | − | 109.179i | −1.03762 | − | 0.236831i | −0.330416 | − | 0.943836i | \(-0.607189\pi\) |
−0.707209 | + | 0.707005i | \(0.750046\pi\) | |||||||
\(462\) | −1238.83 | − | 583.336i | −2.68146 | − | 1.26263i | ||||
\(463\) | −106.160 | − | 465.118i | −0.229287 | − | 1.00457i | −0.950223 | − | 0.311572i | \(-0.899145\pi\) |
0.720935 | − | 0.693003i | \(-0.243713\pi\) | |||||||
\(464\) | 1402.34 | − | 320.076i | 3.02229 | − | 0.689819i | ||||
\(465\) | 35.2547 | + | 74.6247i | 0.0758166 | + | 0.160483i | ||||
\(466\) | 19.8041 | + | 24.8335i | 0.0424980 | + | 0.0532908i | ||||
\(467\) | −105.850 | + | 24.1597i | −0.226660 | + | 0.0517338i | −0.334343 | − | 0.942452i | \(-0.608514\pi\) |
0.107682 | + | 0.994185i | \(0.465657\pi\) | |||||||
\(468\) | 260.160 | − | 1066.32i | 0.555897 | − | 2.27846i | ||||
\(469\) | −133.392 | + | 2.15772i | −0.284419 | + | 0.00460068i | ||||
\(470\) | 810.722 | + | 185.042i | 1.72494 | + | 0.393706i | ||||
\(471\) | −141.510 | + | 599.371i | −0.300446 | + | 1.27255i | ||||
\(472\) | 392.363 | 0.831278 | ||||||||
\(473\) | −25.4722 | − | 5.81387i | −0.0538525 | − | 0.0122915i | ||||
\(474\) | 784.902 | − | 173.005i | 1.65591 | − | 0.364989i | ||||
\(475\) | −6.35414 | − | 7.96784i | −0.0133771 | − | 0.0167744i | ||||
\(476\) | −12.3015 | − | 760.492i | −0.0258435 | − | 1.59767i | ||||
\(477\) | −110.072 | − | 237.560i | −0.230758 | − | 0.498029i | ||||
\(478\) | −14.5018 | + | 63.5366i | −0.0303385 | + | 0.132922i | ||||
\(479\) | 303.281 | + | 241.859i | 0.633155 | + | 0.504924i | 0.886667 | − | 0.462408i | \(-0.153014\pi\) |
−0.253512 | + | 0.967332i | \(0.581586\pi\) | |||||||
\(480\) | 177.082 | + | 803.398i | 0.368921 | + | 1.67375i | ||||
\(481\) | 47.5274 | + | 59.5975i | 0.0988095 | + | 0.123903i | ||||
\(482\) | −472.134 | + | 980.396i | −0.979531 | + | 2.03402i | ||||
\(483\) | 406.721 | − | 863.757i | 0.842073 | − | 1.78832i | ||||
\(484\) | −1656.98 | + | 797.959i | −3.42351 | + | 1.64868i | ||||
\(485\) | 111.985 | − | 232.539i | 0.230897 | − | 0.479463i | ||||
\(486\) | 721.393 | − | 532.567i | 1.48435 | − | 1.09582i | ||||
\(487\) | −288.440 | − | 138.905i | −0.592279 | − | 0.285227i | 0.113637 | − | 0.993522i | \(-0.463750\pi\) |
−0.705916 | + | 0.708296i | \(0.749464\pi\) | |||||||
\(488\) | −481.309 | − | 383.831i | −0.986289 | − | 0.786539i | ||||
\(489\) | 125.812 | − | 532.882i | 0.257285 | − | 1.08974i | ||||
\(490\) | 766.308 | − | 400.066i | 1.56389 | − | 0.816462i | ||||
\(491\) | 452.266i | 0.921112i | 0.887631 | + | 0.460556i | \(0.152350\pi\) | ||||
−0.887631 | + | 0.460556i | \(0.847650\pi\) | |||||||
\(492\) | 787.307 | − | 618.314i | 1.60022 | − | 1.25674i | ||||
\(493\) | 385.245 | + | 185.524i | 0.781430 | + | 0.376317i | ||||
\(494\) | 217.020 | − | 49.5335i | 0.439312 | − | 0.100270i | ||||
\(495\) | 465.150 | + | 601.455i | 0.939696 | + | 1.21506i | ||||
\(496\) | −197.060 | + | 94.8990i | −0.397298 | + | 0.191329i | ||||
\(497\) | 88.3938 | − | 21.6852i | 0.177855 | − | 0.0436322i | ||||
\(498\) | 146.437 | − | 180.844i | 0.294049 | − | 0.363141i | ||||
\(499\) | −265.709 | − | 333.189i | −0.532484 | − | 0.667713i | 0.440724 | − | 0.897643i | \(-0.354722\pi\) |
−0.973207 | + | 0.229929i | \(0.926150\pi\) | |||||||
\(500\) | −541.440 | − | 1124.31i | −1.08288 | − | 2.24862i | ||||
\(501\) | −500.003 | + | 392.679i | −0.998009 | + | 0.783790i | ||||
\(502\) | 95.2555 | − | 417.342i | 0.189752 | − | 0.831358i | ||||
\(503\) | 96.6819 | + | 77.1013i | 0.192211 | + | 0.153283i | 0.714867 | − | 0.699261i | \(-0.246487\pi\) |
−0.522656 | + | 0.852544i | \(0.675059\pi\) | |||||||
\(504\) | −1273.29 | − | 288.921i | −2.52638 | − | 0.573256i | ||||
\(505\) | −377.127 | − | 472.902i | −0.746786 | − | 0.936440i | ||||
\(506\) | −1286.21 | − | 2670.85i | −2.54192 | − | 5.27835i | ||||
\(507\) | 21.9946 | + | 10.7947i | 0.0433819 | + | 0.0212913i | ||||
\(508\) | −1245.52 | −2.45182 | ||||||||
\(509\) | 362.163i | 0.711518i | 0.934578 | + | 0.355759i | \(0.115778\pi\) | ||||
−0.934578 | + | 0.355759i | \(0.884222\pi\) | |||||||
\(510\) | −263.474 | + | 536.838i | −0.516616 | + | 1.05262i | ||||
\(511\) | −46.4198 | − | 56.3154i | −0.0908410 | − | 0.110206i | ||||
\(512\) | 946.461 | − | 216.024i | 1.84856 | − | 0.421921i | ||||
\(513\) | 114.438 | + | 58.2973i | 0.223077 | + | 0.113640i | ||||
\(514\) | −458.248 | − | 574.625i | −0.891534 | − | 1.11795i | ||||
\(515\) | 489.968 | − | 390.737i | 0.951395 | − | 0.758712i | ||||
\(516\) | −42.6548 | − | 0.317885i | −0.0826644 | − | 0.000616056i | ||||
\(517\) | 185.342 | + | 812.035i | 0.358495 | + | 1.57067i | ||||
\(518\) | 119.805 | − | 98.7529i | 0.231283 | − | 0.190643i | ||||
\(519\) | −201.456 | + | 410.475i | −0.388163 | + | 0.790896i | ||||
\(520\) | 1256.59 | 2.41651 | ||||||||
\(521\) | 304.251i | 0.583976i | 0.956422 | + | 0.291988i | \(0.0943167\pi\) | ||||
−0.956422 | + | 0.291988i | \(0.905683\pi\) | |||||||
\(522\) | 798.150 | − | 970.806i | 1.52902 | − | 1.85978i | ||||
\(523\) | 28.3072 | − | 13.6320i | 0.0541246 | − | 0.0260650i | −0.406626 | − | 0.913595i | \(-0.633295\pi\) |
0.460750 | + | 0.887530i | \(0.347580\pi\) | |||||||
\(524\) | 1685.78 | − | 1344.36i | 3.21713 | − | 2.56558i | ||||
\(525\) | 44.9906 | − | 0.392415i | 0.0856963 | − | 0.000747457i | ||||
\(526\) | 482.904 | − | 605.543i | 0.918069 | − | 1.15122i | ||||
\(527\) | −63.3879 | − | 14.4679i | −0.120281 | − | 0.0274533i | ||||
\(528\) | −1584.67 | + | 1244.53i | −3.00128 | + | 2.35706i | ||||
\(529\) | 1385.59 | − | 667.266i | 2.61927 | − | 1.26137i | ||||
\(530\) | 401.256 | − | 319.991i | 0.757087 | − | 0.603757i | ||||
\(531\) | 134.784 | − | 104.238i | 0.253830 | − | 0.196305i | ||||
\(532\) | −76.2906 | − | 310.978i | −0.143403 | − | 0.584545i | ||||
\(533\) | −190.940 | − | 396.490i | −0.358236 | − | 0.743884i | ||||
\(534\) | 74.0137 | − | 91.4045i | 0.138602 | − | 0.171169i | ||||
\(535\) | −41.6224 | − | 182.360i | −0.0777989 | − | 0.340859i | ||||
\(536\) | −171.378 | + | 355.869i | −0.319734 | + | 0.663935i | ||||
\(537\) | 122.659 | − | 96.3308i | 0.228416 | − | 0.179387i | ||||
\(538\) | 12.6599 | 0.0235315 | ||||||||
\(539\) | 694.059 | + | 517.675i | 1.28768 | + | 0.960435i | ||||
\(540\) | 952.975 | + | 795.467i | 1.76477 | + | 1.47309i | ||||
\(541\) | 135.277 | − | 169.632i | 0.250050 | − | 0.313552i | −0.640927 | − | 0.767602i | \(-0.721450\pi\) |
0.890976 | + | 0.454050i | \(0.150021\pi\) | |||||||
\(542\) | −390.124 | + | 810.101i | −0.719786 | + | 1.49465i | ||||
\(543\) | −852.989 | − | 6.35690i | −1.57088 | − | 0.0117070i | ||||
\(544\) | −583.911 | − | 281.197i | −1.07337 | − | 0.516906i | ||||
\(545\) | −243.437 | − | 505.502i | −0.446674 | − | 0.927527i | ||||
\(546\) | −418.656 | + | 889.103i | −0.766769 | + | 1.62839i | ||||
\(547\) | 96.9528 | + | 46.6900i | 0.177245 | + | 0.0853565i | 0.520402 | − | 0.853921i | \(-0.325782\pi\) |
−0.343157 | + | 0.939278i | \(0.611496\pi\) | |||||||
\(548\) | −1326.29 | + | 1057.68i | −2.42024 | + | 1.93008i | ||||
\(549\) | −267.310 | − | 3.98447i | −0.486903 | − | 0.00725769i | ||||
\(550\) | 87.1021 | − | 109.223i | 0.158367 | − | 0.198586i | ||||
\(551\) | 175.497 | + | 40.0559i | 0.318505 | + | 0.0726968i | ||||
\(552\) | −1745.86 | − | 2223.03i | −3.16280 | − | 4.02723i | ||||
\(553\) | −508.166 | + | 8.21994i | −0.918926 | + | 0.0148643i | ||||
\(554\) | 193.969 | − | 154.685i | 0.350124 | − | 0.279215i | ||||
\(555\) | −84.1901 | + | 18.5569i | −0.151694 | + | 0.0334358i | ||||
\(556\) | −553.996 | + | 2427.21i | −0.996395 | + | 4.36549i | ||||
\(557\) | 201.279i | 0.361362i | 0.983542 | + | 0.180681i | \(0.0578302\pi\) | ||||
−0.983542 | + | 0.180681i | \(0.942170\pi\) | |||||||
\(558\) | −85.4734 | + | 170.923i | −0.153178 | + | 0.306313i | ||||
\(559\) | −4.17258 | + | 18.2813i | −0.00746436 | + | 0.0327035i | ||||
\(560\) | −20.5738 | − | 1271.89i | −0.0367389 | − | 2.27124i | ||||
\(561\) | −598.961 | − | 4.46375i | −1.06767 | − | 0.00795678i | ||||
\(562\) | −176.815 | − | 774.675i | −0.314617 | − | 1.37843i | ||||
\(563\) | −820.665 | + | 654.458i | −1.45766 | + | 1.16245i | −0.503182 | + | 0.864180i | \(0.667837\pi\) |
−0.954482 | + | 0.298268i | \(0.903591\pi\) | |||||||
\(564\) | 580.866 | + | 1229.54i | 1.02990 | + | 2.18003i | ||||
\(565\) | −80.5668 | − | 352.986i | −0.142596 | − | 0.624755i | ||||
\(566\) | 727.398 | − | 166.024i | 1.28516 | − | 0.293328i | ||||
\(567\) | −514.156 | + | 239.024i | −0.906801 | + | 0.421559i | ||||
\(568\) | 59.9619 | − | 262.710i | 0.105567 | − | 0.462518i | ||||
\(569\) | 196.540i | 0.345412i | 0.984973 | + | 0.172706i | \(0.0552511\pi\) | ||||
−0.984973 | + | 0.172706i | \(0.944749\pi\) | |||||||
\(570\) | −57.8480 | + | 245.017i | −0.101488 | + | 0.429855i | ||||
\(571\) | 99.0186 | − | 433.829i | 0.173413 | − | 0.759770i | −0.811164 | − | 0.584818i | \(-0.801166\pi\) |
0.984577 | − | 0.174952i | \(-0.0559771\pi\) | |||||||
\(572\) | 935.025 | + | 1941.60i | 1.63466 | + | 3.39440i | ||||
\(573\) | 137.466 | + | 290.978i | 0.239905 | + | 0.507815i | ||||
\(574\) | −801.164 | + | 401.910i | −1.39576 | + | 0.700192i | ||||
\(575\) | 76.1536 | + | 60.7305i | 0.132441 | + | 0.105618i | ||||
\(576\) | −340.744 | + | 414.453i | −0.591569 | + | 0.719537i | ||||
\(577\) | 95.7705 | − | 120.092i | 0.165980 | − | 0.208132i | −0.691885 | − | 0.722008i | \(-0.743219\pi\) |
0.857865 | + | 0.513876i | \(0.171791\pi\) | |||||||
\(578\) | 258.301 | + | 536.368i | 0.446888 | + | 0.927972i | ||||
\(579\) | 722.752 | − | 341.447i | 1.24828 | − | 0.589719i | ||||
\(580\) | 1567.56 | + | 754.898i | 2.70269 | + | 1.30155i | ||||
\(581\) | −113.542 | + | 93.5905i | −0.195425 | + | 0.161085i | ||||
\(582\) | 583.611 | − | 128.637i | 1.00277 | − | 0.221026i | ||||
\(583\) | 463.150 | + | 223.041i | 0.794425 | + | 0.382575i | ||||
\(584\) | −210.656 | + | 48.0809i | −0.360713 | + | 0.0823303i | ||||
\(585\) | 431.660 | − | 333.835i | 0.737880 | − | 0.570658i | ||||
\(586\) | −476.552 | + | 597.577i | −0.813228 | + | 1.01976i | ||||
\(587\) | 1016.30i | 1.73135i | 0.500603 | + | 0.865677i | \(0.333112\pi\) | ||||
−0.500603 | + | 0.865677i | \(0.666888\pi\) | |||||||
\(588\) | 1288.49 | + | 581.448i | 2.19132 | + | 0.988858i | ||||
\(589\) | −27.3717 | −0.0464715 | ||||||||
\(590\) | 261.130 | + | 208.244i | 0.442593 | + | 0.352956i | ||||
\(591\) | −853.601 | − | 691.193i | −1.44433 | − | 1.16953i | ||||
\(592\) | −50.8385 | − | 222.738i | −0.0858759 | − | 0.376247i | ||||
\(593\) | 379.705 | − | 788.465i | 0.640312 | − | 1.32962i | −0.287933 | − | 0.957651i | \(-0.592968\pi\) |
0.928245 | − | 0.371970i | \(-0.121318\pi\) | |||||||
\(594\) | −430.028 | + | 1707.21i | −0.723953 | + | 2.87408i | ||||
\(595\) | 230.954 | − | 299.416i | 0.388158 | − | 0.503221i | ||||
\(596\) | 373.846 | − | 776.298i | 0.627258 | − | 1.30251i | ||||
\(597\) | 229.539 | − | 108.440i | 0.384487 | − | 0.181642i | ||||
\(598\) | −1916.85 | + | 923.105i | −3.20543 | + | 1.54365i | ||||
\(599\) | 87.4500 | + | 69.7390i | 0.145993 | + | 0.116426i | 0.693763 | − | 0.720203i | \(-0.255952\pi\) |
−0.547770 | + | 0.836629i | \(0.684523\pi\) | |||||||
\(600\) | 58.6896 | − | 119.582i | 0.0978160 | − | 0.199304i | ||||
\(601\) | 258.615 | − | 324.293i | 0.430308 | − | 0.539589i | −0.518652 | − | 0.854985i | \(-0.673566\pi\) |
0.948960 | + | 0.315396i | \(0.102137\pi\) | |||||||
\(602\) | 37.3673 | + | 7.89524i | 0.0620719 | + | 0.0131150i | ||||
\(603\) | 35.6718 | + | 167.777i | 0.0591571 | + | 0.278237i | ||||
\(604\) | 0.718385 | − | 0.345956i | 0.00118938 | − | 0.000572775i | ||||
\(605\) | −891.418 | − | 203.460i | −1.47342 | − | 0.336298i | ||||
\(606\) | 321.817 | − | 1363.07i | 0.531051 | − | 2.24929i | ||||
\(607\) | 1102.49 | 1.81629 | 0.908146 | − | 0.418654i | \(-0.137498\pi\) | ||||
0.908146 | + | 0.418654i | \(0.137498\pi\) | |||||||
\(608\) | −265.998 | − | 60.7123i | −0.437496 | − | 0.0998557i | ||||
\(609\) | −616.981 | + | 500.891i | −1.01310 | + | 0.822482i | ||||
\(610\) | −116.610 | − | 510.903i | −0.191164 | − | 0.837546i | ||||
\(611\) | 582.792 | − | 133.018i | 0.953833 | − | 0.217706i | ||||
\(612\) | −956.522 | + | 203.370i | −1.56295 | + | 0.332305i | ||||
\(613\) | 421.847 | + | 528.980i | 0.688168 | + | 0.862936i | 0.996078 | − | 0.0884800i | \(-0.0282009\pi\) |
−0.307910 | + | 0.951416i | \(0.599629\pi\) | |||||||
\(614\) | 940.052 | − | 214.561i | 1.53103 | − | 0.349447i | ||||
\(615\) | 497.690 | + | 3.70903i | 0.809252 | + | 0.00603095i | ||||
\(616\) | 2291.36 | − | 1149.48i | 3.71975 | − | 1.86604i | ||||
\(617\) | 808.829 | + | 184.610i | 1.31091 | + | 0.299206i | 0.820178 | − | 0.572108i | \(-0.193874\pi\) |
0.490727 | + | 0.871313i | \(0.336731\pi\) | |||||||
\(618\) | 1412.26 | + | 333.431i | 2.28521 | + | 0.539532i | ||||
\(619\) | 867.595 | 1.40161 | 0.700804 | − | 0.713354i | \(-0.252825\pi\) | ||||
0.700804 | + | 0.713354i | \(0.252825\pi\) | |||||||
\(620\) | −257.925 | − | 58.8697i | −0.416008 | − | 0.0949512i | ||||
\(621\) | −1190.32 | − | 299.830i | −1.91678 | − | 0.482818i | ||||
\(622\) | 1054.82 | + | 1322.70i | 1.69585 | + | 2.12653i | ||||
\(623\) | −57.3876 | + | 47.3036i | −0.0921150 | + | 0.0759287i | ||||
\(624\) | 893.189 | + | 1137.31i | 1.43139 | + | 1.82261i | ||||
\(625\) | 126.135 | − | 552.635i | 0.201817 | − | 0.884217i | ||||
\(626\) | −850.644 | − | 678.366i | −1.35886 | − | 1.08365i | ||||
\(627\) | −246.251 | + | 54.2776i | −0.392744 | + | 0.0865672i | ||||
\(628\) | −1230.82 | − | 1543.40i | −1.95991 | − | 2.45765i | ||||
\(629\) | 29.4673 | − | 61.1895i | 0.0468479 | − | 0.0972806i | ||||
\(630\) | −694.075 | − | 868.079i | −1.10171 | − | 1.37790i | ||||
\(631\) | −911.757 | + | 439.079i | −1.44494 | + | 0.695847i | −0.981708 | − | 0.190391i | \(-0.939025\pi\) |
−0.463232 | + | 0.886237i | \(0.653310\pi\) | |||||||
\(632\) | −652.872 | + | 1355.70i | −1.03303 | + | 2.14510i | ||||
\(633\) | −114.896 | − | 0.856263i | −0.181510 | − | 0.00135271i | ||||
\(634\) | −197.463 | − | 95.0934i | −0.311457 | − | 0.149990i | ||||
\(635\) | −484.135 | − | 386.085i | −0.762418 | − | 0.608008i | ||||
\(636\) | 816.805 | + | 192.846i | 1.28428 | + | 0.303216i | ||||
\(637\) | 371.531 | − | 498.121i | 0.583252 | − | 0.781980i | ||||
\(638\) | 2467.56i | 3.86765i | ||||||||
\(639\) | −49.1957 | − | 106.176i | −0.0769886 | − | 0.166159i | ||||
\(640\) | 40.6997 | + | 19.6000i | 0.0635933 | + | 0.0306249i | ||||
\(641\) | −194.248 | + | 44.3358i | −0.303039 | + | 0.0691666i | −0.371336 | − | 0.928498i | \(-0.621100\pi\) |
0.0682978 | + | 0.997665i | \(0.478243\pi\) | |||||||
\(642\) | 272.553 | − | 336.595i | 0.424538 | − | 0.524291i | ||||
\(643\) | −392.889 | + | 189.205i | −0.611024 | + | 0.294254i | −0.713690 | − | 0.700462i | \(-0.752977\pi\) |
0.102665 | + | 0.994716i | \(0.467263\pi\) | |||||||
\(644\) | 1372.25 | + | 2735.44i | 2.13083 | + | 4.24757i | ||||
\(645\) | −16.4814 | − | 13.3456i | −0.0255525 | − | 0.0206909i | ||||
\(646\) | −123.654 | − | 155.058i | −0.191416 | − | 0.240028i | ||||
\(647\) | −232.456 | − | 482.700i | −0.359283 | − | 0.746059i | 0.640477 | − | 0.767977i | \(-0.278737\pi\) |
−0.999760 | + | 0.0219189i | \(0.993022\pi\) | |||||||
\(648\) | −50.0340 | + | 1677.96i | −0.0772129 | + | 2.58945i | ||||
\(649\) | −74.4419 | + | 326.151i | −0.114703 | + | 0.502545i | ||||
\(650\) | −78.3882 | − | 62.5125i | −0.120597 | − | 0.0961731i | ||||
\(651\) | 74.5160 | − | 95.1305i | 0.114464 | − | 0.146130i | ||||
\(652\) | 1094.29 | + | 1372.19i | 1.67835 | + | 2.10459i | ||||
\(653\) | 278.847 | + | 579.033i | 0.427025 | + | 0.886727i | 0.997843 | + | 0.0656500i | \(0.0209121\pi\) |
−0.570818 | + | 0.821077i | \(0.693374\pi\) | |||||||
\(654\) | 572.377 | − | 1166.24i | 0.875194 | − | 1.78324i | ||||
\(655\) | 1071.98 | 1.63662 | ||||||||
\(656\) | 1318.96i | 2.01060i | ||||||||
\(657\) | −59.5906 | + | 72.4812i | −0.0907010 | + | 0.110321i | ||||
\(658\) | −290.091 | − | 1182.48i | −0.440867 | − | 1.79708i | ||||
\(659\) | −1118.35 | + | 255.257i | −1.69705 | + | 0.387340i | −0.958102 | − | 0.286428i | \(-0.907532\pi\) |
−0.738944 | + | 0.673767i | \(0.764675\pi\) | |||||||
\(660\) | −2437.17 | − | 18.1630i | −3.69268 | − | 0.0275197i | ||||
\(661\) | 15.9251 | + | 19.9694i | 0.0240924 | + | 0.0302109i | 0.793732 | − | 0.608268i | \(-0.208135\pi\) |
−0.769639 | + | 0.638479i | \(0.779564\pi\) | |||||||
\(662\) | 643.514 | − | 513.185i | 0.972075 | − | 0.775204i | ||||
\(663\) | −3.20360 | + | 429.870i | −0.00483198 | + | 0.648371i | ||||
\(664\) | 96.9396 | + | 424.720i | 0.145993 | + | 0.639639i | ||||
\(665\) | 66.7421 | − | 144.525i | 0.100364 | − | 0.217331i | ||||
\(666\) | −154.196 | − | 126.772i | −0.231525 | − | 0.190349i | ||||
\(667\) | −1720.47 | −2.57941 | ||||||||
\(668\) | − | 2037.93i | − | 3.05080i | ||||||
\(669\) | −878.280 | − | 431.050i | −1.31282 | − | 0.644319i | ||||
\(670\) | −302.932 | + | 145.885i | −0.452138 | + | 0.217738i | ||||
\(671\) | 410.377 | − | 327.264i | 0.611590 | − | 0.487726i | ||||
\(672\) | 935.150 | − | 759.194i | 1.39159 | − | 1.12975i | ||||
\(673\) | −232.894 | + | 292.040i | −0.346053 | + | 0.433937i | −0.924149 | − | 0.382032i | \(-0.875224\pi\) |
0.578096 | + | 0.815969i | \(0.303796\pi\) | |||||||
\(674\) | −335.246 | − | 76.5178i | −0.497398 | − | 0.113528i | ||||
\(675\) | −11.6082 | − | 56.6705i | −0.0171974 | − | 0.0839563i | ||||
\(676\) | −70.7590 | + | 34.0758i | −0.104673 | + | 0.0504079i | ||||
\(677\) | −444.123 | + | 354.176i | −0.656016 | + | 0.523156i | −0.893973 | − | 0.448120i | \(-0.852094\pi\) |
0.237957 | + | 0.971276i | \(0.423522\pi\) | |||||||
\(678\) | 527.571 | − | 651.532i | 0.778128 | − | 0.960962i | ||||
\(679\) | −377.845 | + | 6.11191i | −0.556472 | + | 0.00900134i | ||||
\(680\) | −485.756 | − | 1008.68i | −0.714348 | − | 1.48336i | ||||
\(681\) | −722.027 | − | 584.653i | −1.06024 | − | 0.858521i | ||||
\(682\) | −83.4920 | − | 365.802i | −0.122422 | − | 0.536367i | ||||
\(683\) | 121.322 | − | 251.928i | 0.177631 | − | 0.368855i | −0.793075 | − | 0.609124i | \(-0.791521\pi\) |
0.970706 | + | 0.240269i | \(0.0772356\pi\) | |||||||
\(684\) | −373.536 | + | 173.075i | −0.546105 | + | 0.253034i | ||||
\(685\) | −843.389 | −1.23122 | ||||||||
\(686\) | −1026.66 | − | 740.215i | −1.49659 | − | 1.07903i | ||||
\(687\) | −262.740 | + | 1112.85i | −0.382446 | + | 1.61986i | ||||
\(688\) | 35.0405 | − | 43.9394i | 0.0509309 | − | 0.0638654i | ||||
\(689\) | 160.075 | − | 332.400i | 0.232330 | − | 0.482438i | ||||
\(690\) | 17.9315 | − | 2406.10i | 0.0259876 | − | 3.48710i | ||||
\(691\) | −178.351 | − | 85.8894i | −0.258106 | − | 0.124297i | 0.300357 | − | 0.953827i | \(-0.402894\pi\) |
−0.558463 | + | 0.829530i | \(0.688609\pi\) | |||||||
\(692\) | −635.939 | − | 1320.54i | −0.918988 | − | 1.90830i | ||||
\(693\) | 481.744 | − | 1003.61i | 0.695157 | − | 1.44821i | ||||
\(694\) | −278.808 | − | 134.267i | −0.401741 | − | 0.193468i | ||||
\(695\) | −967.721 | + | 771.731i | −1.39240 | + | 1.11040i | ||||
\(696\) | 506.455 | + | 2297.72i | 0.727665 | + | 3.30132i | ||||
\(697\) | −244.458 | + | 306.541i | −0.350729 | + | 0.439801i | ||||
\(698\) | −2089.08 | − | 476.818i | −2.99295 | − | 0.683121i | ||||
\(699\) | −20.3091 | + | 15.9498i | −0.0290544 | + | 0.0228180i | ||||
\(700\) | −88.0852 | + | 114.196i | −0.125836 | + | 0.163138i | ||||
\(701\) | 696.599 | − | 555.519i | 0.993721 | − | 0.792466i | 0.0154681 | − | 0.999880i | \(-0.495076\pi\) |
0.978253 | + | 0.207414i | \(0.0665047\pi\) | |||||||
\(702\) | 1225.25 | + | 308.628i | 1.74537 | + | 0.439641i | ||||
\(703\) | 6.36219 | − | 27.8746i | 0.00905006 | − | 0.0396509i | ||||
\(704\) | − | 1053.44i | − | 1.49637i | ||||||
\(705\) | −155.347 | + | 657.976i | −0.220350 | + | 0.933300i | ||||
\(706\) | 86.1322 | − | 377.370i | 0.122000 | − | 0.534518i | ||||
\(707\) | −371.296 | + | 804.016i | −0.525171 | + | 1.13722i | ||||
\(708\) | −4.07026 | + | 546.160i | −0.00574895 | + | 0.771413i | ||||
\(709\) | 193.030 | + | 845.718i | 0.272256 | + | 1.19283i | 0.907343 | + | 0.420392i | \(0.138107\pi\) |
−0.635086 | + | 0.772441i | \(0.719036\pi\) | |||||||
\(710\) | 179.338 | − | 143.018i | 0.252589 | − | 0.201433i | ||||
\(711\) | 135.893 | + | 639.155i | 0.191130 | + | 0.898952i | ||||
\(712\) | 48.9964 | + | 214.667i | 0.0688151 | + | 0.301499i | ||||
\(713\) | 255.050 | − | 58.2134i | 0.357714 | − | 0.0816458i | ||||
\(714\) | 875.537 | − | 7.63657i | 1.22624 | − | 0.0106955i | ||||
\(715\) | −238.409 | + | 1044.54i | −0.333439 | + | 1.46089i | ||||
\(716\) | 499.940i | 0.698240i | ||||||||
\(717\) | −51.5659 | − | 12.1746i | −0.0719190 | − | 0.0169799i | ||||
\(718\) | −409.808 | + | 1795.49i | −0.570764 | + | 2.50068i | ||||
\(719\) | 125.938 | + | 261.514i | 0.175158 | + | 0.363719i | 0.970003 | − | 0.243094i | \(-0.0781622\pi\) |
−0.794845 | + | 0.606812i | \(0.792448\pi\) | |||||||
\(720\) | −1599.75 | + | 340.129i | −2.22187 | + | 0.472401i | ||||
\(721\) | −833.031 | − | 384.695i | −1.15538 | − | 0.533558i | ||||
\(722\) | 976.205 | + | 778.497i | 1.35208 | + | 1.07825i | ||||
\(723\) | −794.178 | − | 389.774i | −1.09845 | − | 0.539106i | ||||
\(724\) | 1704.81 | − | 2137.77i | 2.35471 | − | 2.95272i | ||||
\(725\) | −35.1787 | − | 73.0492i | −0.0485223 | − | 0.100758i | ||||
\(726\) | −904.346 | − | 1914.26i | −1.24566 | − | 2.63672i | ||||
\(727\) | −370.457 | − | 178.403i | −0.509569 | − | 0.245396i | 0.161389 | − | 0.986891i | \(-0.448403\pi\) |
−0.670958 | + | 0.741495i | \(0.734117\pi\) | |||||||
\(728\) | −824.975 | − | 1644.50i | −1.13321 | − | 2.25892i | ||||
\(729\) | 428.593 | + | 589.702i | 0.587919 | + | 0.808920i | ||||
\(730\) | −165.717 | − | 79.8051i | −0.227010 | − | 0.109322i | ||||
\(731\) | 16.2877 | − | 3.71755i | 0.0222813 | − | 0.00508557i | ||||
\(732\) | 539.277 | − | 665.989i | 0.736717 | − | 0.909821i | ||||
\(733\) | −214.084 | + | 268.453i | −0.292065 | + | 0.366238i | −0.906117 | − | 0.423028i | \(-0.860967\pi\) |
0.614052 | + | 0.789266i | \(0.289539\pi\) | |||||||
\(734\) | − | 95.1795i | − | 0.129672i | ||||||
\(735\) | 320.602 | + | 625.414i | 0.436193 | + | 0.850903i | ||||
\(736\) | 2607.69 | 3.54305 | ||||||||
\(737\) | −263.301 | − | 209.975i | −0.357260 | − | 0.284906i | ||||
\(738\) | 705.011 | + | 911.603i | 0.955299 | + | 1.23523i | ||||
\(739\) | 89.5990 | + | 392.559i | 0.121244 | + | 0.531203i | 0.998673 | + | 0.0514972i | \(0.0163993\pi\) |
−0.877430 | + | 0.479705i | \(0.840744\pi\) | |||||||
\(740\) | 119.902 | − | 248.980i | 0.162030 | − | 0.336459i | ||||
\(741\) | 38.9547 | + | 176.732i | 0.0525704 | + | 0.238505i | ||||
\(742\) | −682.206 | − | 315.044i | −0.919414 | − | 0.424587i | ||||
\(743\) | 24.3329 | − | 50.5279i | 0.0327496 | − | 0.0680052i | −0.883952 | − | 0.467577i | \(-0.845127\pi\) |
0.916702 | + | 0.399572i | \(0.130841\pi\) | |||||||
\(744\) | −152.825 | − | 323.488i | −0.205409 | − | 0.434796i | ||||
\(745\) | 385.949 | − | 185.863i | 0.518052 | − | 0.249481i | ||||
\(746\) | −856.588 | − | 683.106i | −1.14824 | − | 0.915692i | ||||
\(747\) | 146.135 | + | 120.145i | 0.195629 | + | 0.160837i | ||||
\(748\) | 1197.10 | − | 1501.12i | 1.60041 | − | 2.00685i | ||||
\(749\) | −211.328 | + | 174.194i | −0.282147 | + | 0.232569i | ||||
\(750\) | 1298.88 | − | 613.627i | 1.73185 | − | 0.818170i | ||||
\(751\) | 919.138 | − | 442.633i | 1.22389 | − | 0.589392i | 0.293494 | − | 0.955961i | \(-0.405182\pi\) |
0.930391 | + | 0.366569i | \(0.119468\pi\) | |||||||
\(752\) | −1746.71 | − | 398.675i | −2.32275 | − | 0.530153i | ||||
\(753\) | 338.712 | + | 79.9690i | 0.449816 | + | 0.106201i | ||||
\(754\) | 1770.95 | 2.34874 | ||||||||
\(755\) | 0.386475 | + | 0.0882104i | 0.000511887 | + | 0.000116835i | ||||
\(756\) | 415.380 | − | 1769.40i | 0.549444 | − | 2.34047i | ||||
\(757\) | −273.724 | − | 1199.26i | −0.361590 | − | 1.58423i | −0.749159 | − | 0.662390i | \(-0.769542\pi\) |
0.387568 | − | 0.921841i | \(-0.373315\pi\) | |||||||
\(758\) | 950.992 | − | 217.058i | 1.25461 | − | 0.286356i | ||||
\(759\) | 2179.13 | − | 1029.48i | 2.87105 | − | 1.35636i | ||||
\(760\) | −293.862 | − | 368.491i | −0.386660 | − | 0.484857i | ||||
\(761\) | 586.600 | − | 133.888i | 0.770828 | − | 0.175936i | 0.181019 | − | 0.983480i | \(-0.442060\pi\) |
0.589808 | + | 0.807543i | \(0.299203\pi\) | |||||||
\(762\) | 10.6852 | − | 1433.77i | 0.0140225 | − | 1.88159i | ||||
\(763\) | −501.730 | + | 650.459i | −0.657575 | + | 0.852502i | ||||
\(764\) | −1005.70 | − | 229.546i | −1.31637 | − | 0.300452i | ||||
\(765\) | −434.841 | − | 217.451i | −0.568419 | − | 0.284249i | ||||
\(766\) | −2377.89 | −3.10430 | ||||||||
\(767\) | 234.077 | + | 53.4264i | 0.305185 | + | 0.0696564i | ||||
\(768\) | 176.502 | + | 800.766i | 0.229820 | + | 1.04266i | ||||
\(769\) | −73.1060 | − | 91.6720i | −0.0950663 | − | 0.119209i | 0.732023 | − | 0.681280i | \(-0.238576\pi\) |
−0.827089 | + | 0.562071i | \(0.810005\pi\) | |||||||
\(770\) | 2135.05 | + | 451.111i | 2.77280 | + | 0.585858i | ||||
\(771\) | 469.933 | − | 369.064i | 0.609511 | − | 0.478682i | ||||
\(772\) | −570.162 | + | 2498.04i | −0.738552 | + | 3.23581i | ||||
\(773\) | 305.296 | + | 243.465i | 0.394949 | + | 0.314962i | 0.800749 | − | 0.599001i | \(-0.204435\pi\) |
−0.405799 | + | 0.913962i | \(0.633007\pi\) | |||||||
\(774\) | 0.731859 | − | 49.0989i | 0.000945554 | − | 0.0634352i | ||||
\(775\) | 7.68673 | + | 9.63885i | 0.00991836 | + | 0.0124372i | ||||
\(776\) | −485.440 | + | 1008.03i | −0.625568 | + | 1.29900i | ||||
\(777\) | 79.5579 | + | 97.9967i | 0.102391 | + | 0.126122i | ||||
\(778\) | 1763.83 | − | 849.414i | 2.26713 | − | 1.09179i | ||||
\(779\) | −71.6172 | + | 148.715i | −0.0919348 | + | 0.190905i | ||||
\(780\) | −13.0355 | + | 1749.14i | −0.0167121 | + | 2.24249i | ||||
\(781\) | 207.001 | + | 99.6866i | 0.265046 | + | 0.127640i | ||||
\(782\) | 1481.98 | + | 1181.84i | 1.89512 | + | 1.51131i | ||||
\(783\) | 784.407 | + | 654.759i | 1.00180 | + | 0.836219i | ||||
\(784\) | −1651.02 | + | 861.948i | −2.10589 | + | 1.09942i | ||||
\(785\) | − | 981.449i | − | 1.25025i | ||||||
\(786\) | 1533.08 | + | 1952.09i | 1.95049 | + | 2.48358i | ||||
\(787\) | −914.518 | − | 440.408i | −1.16203 | − | 0.559604i | −0.249404 | − | 0.968400i | \(-0.580235\pi\) |
−0.912626 | + | 0.408795i | \(0.865949\pi\) | |||||||
\(788\) | 3432.47 | − | 783.439i | 4.35593 | − | 0.994212i | ||||
\(789\) | 489.366 | + | 396.259i | 0.620236 | + | 0.502229i | ||||
\(790\) | −1154.04 | + | 555.755i | −1.46081 | + | 0.703487i | ||||
\(791\) | −409.060 | + | 337.181i | −0.517142 | + | 0.426271i | ||||
\(792\) | −2016.36 | − | 2607.23i | −2.54591 | − | 3.29195i | ||||
\(793\) | −234.875 | − | 294.524i | −0.296186 | − | 0.371405i | ||||
\(794\) | 26.8380 | + | 55.7297i | 0.0338010 | + | 0.0701886i | ||||
\(795\) | 257.714 | + | 328.151i | 0.324169 | + | 0.412768i | ||||
\(796\) | −181.078 | + | 793.354i | −0.227485 | + | 0.996676i | ||||
\(797\) | 314.619 | + | 250.900i | 0.394754 | + | 0.314806i | 0.800671 | − | 0.599104i | \(-0.204476\pi\) |
−0.405917 | + | 0.913910i | \(0.633048\pi\) | |||||||
\(798\) | 358.633 | − | 85.1532i | 0.449415 | − | 0.106708i | ||||
\(799\) | −332.065 | − | 416.396i | −0.415601 | − | 0.521147i | ||||
\(800\) | 53.3198 | + | 110.720i | 0.0666498 | + | 0.138400i | ||||
\(801\) | 73.8612 | + | 60.7252i | 0.0922113 | + | 0.0758117i | ||||
\(802\) | −719.997 | −0.897752 | ||||||||
\(803\) | − | 184.230i | − | 0.229427i | ||||||
\(804\) | −493.584 | − | 242.245i | −0.613910 | − | 0.301300i | ||||
\(805\) | −314.530 | + | 1488.63i | −0.390720 | + | 1.84923i | ||||
\(806\) | −262.534 | + | 59.9216i | −0.325724 | + | 0.0743444i | ||||
\(807\) | −0.0767027 | + | 10.2922i | −9.50467e−5 | + | 0.0127537i | ||||
\(808\) | 1634.80 | + | 2049.97i | 2.02326 | + | 2.53709i | ||||
\(809\) | −694.736 | + | 554.033i | −0.858759 | + | 0.684837i | −0.950425 | − | 0.310953i | \(-0.899352\pi\) |
0.0916668 | + | 0.995790i | \(0.470781\pi\) | |||||||
\(810\) | −923.867 | + | 1090.18i | −1.14058 | + | 1.34590i | ||||
\(811\) | 143.150 | + | 627.180i | 0.176510 | + | 0.773342i | 0.983224 | + | 0.182400i | \(0.0583866\pi\) |
−0.806714 | + | 0.590942i | \(0.798756\pi\) | |||||||
\(812\) | −41.2007 | − | 2547.07i | −0.0507398 | − | 3.13679i | ||||
\(813\) | −656.229 | − | 322.070i | −0.807170 | − | 0.396150i | ||||
\(814\) | 391.929 | 0.481485 | ||||||||
\(815\) | 872.576i | 1.07065i | ||||||||
\(816\) | 567.658 | − | 1156.63i | 0.695660 | − | 1.41743i | ||||
\(817\) | 6.33672 | − | 3.05160i | 0.00775608 | − | 0.00373513i | ||||
\(818\) | −943.872 | + | 752.713i | −1.15388 | + | 0.920187i | ||||
\(819\) | −720.283 | − | 345.744i | −0.879466 | − | 0.422154i | ||||
\(820\) | −994.700 | + | 1247.31i | −1.21305 | + | 1.52111i | ||||
\(821\) | −954.347 | − | 217.823i | −1.16242 | − | 0.265315i | −0.402555 | − | 0.915396i | \(-0.631878\pi\) |
−0.759865 | + | 0.650081i | \(0.774735\pi\) | |||||||
\(822\) | −1206.16 | − | 1535.82i | −1.46735 | − | 1.86840i | ||||
\(823\) | −375.762 | + | 180.957i | −0.456575 | + | 0.219875i | −0.648012 | − | 0.761630i | \(-0.724400\pi\) |
0.191437 | + | 0.981505i | \(0.438685\pi\) | |||||||
\(824\) | −2123.95 | + | 1693.79i | −2.57761 | + | 2.05557i | ||||
\(825\) | 88.2676 | + | 71.4736i | 0.106991 | + | 0.0866347i | ||||
\(826\) | 101.092 | − | 478.457i | 0.122388 | − | 0.579246i | ||||
\(827\) | 368.209 | + | 764.594i | 0.445235 | + | 0.924540i | 0.995955 | + | 0.0898498i | \(0.0286387\pi\) |
−0.550721 | + | 0.834690i | \(0.685647\pi\) | |||||||
\(828\) | 3112.51 | − | 2407.14i | 3.75908 | − | 2.90717i | ||||
\(829\) | −277.489 | − | 1215.76i | −0.334728 | − | 1.46654i | −0.809860 | − | 0.586623i | \(-0.800457\pi\) |
0.475132 | − | 0.879914i | \(-0.342400\pi\) | |||||||
\(830\) | −160.901 | + | 334.115i | −0.193857 | + | 0.402548i | ||||
\(831\) | 124.580 | + | 158.629i | 0.149916 | + | 0.190889i | ||||
\(832\) | −756.047 | −0.908711 | ||||||||
\(833\) | −543.472 | − | 105.677i | −0.652428 | − | 0.126863i | ||||
\(834\) | −2789.31 | − | 658.548i | −3.34449 | − | 0.789626i | ||||
\(835\) | 631.714 | − | 792.144i | 0.756543 | − | 0.948675i | ||||
\(836\) | 350.707 | − | 728.250i | 0.419506 | − | 0.871113i | ||||
\(837\) | −138.438 | − | 70.5234i | −0.165398 | − | 0.0842574i | ||||
\(838\) | 1905.95 | + | 917.858i | 2.27440 | + | 1.09530i | ||||
\(839\) | 118.545 | + | 246.160i | 0.141293 | + | 0.293397i | 0.959592 | − | 0.281395i | \(-0.0907971\pi\) |
−0.818299 | + | 0.574792i | \(0.805083\pi\) | |||||||
\(840\) | 2080.69 | − | 18.1481i | 2.47701 | − | 0.0216049i | ||||
\(841\) | 532.565 | + | 256.470i | 0.633253 | + | 0.304958i | ||||
\(842\) | 857.276 | − | 683.655i | 1.01814 | − | 0.811941i | ||||
\(843\) | 630.864 | − | 139.053i | 0.748356 | − | 0.164950i | ||||
\(844\) | 229.635 | − | 287.954i | 0.272080 | − | 0.341177i | ||||
\(845\) | −38.0668 | − | 8.68849i | −0.0450494 | − | 0.0102822i | ||||
\(846\) | −1420.35 | + | 658.109i | −1.67890 | + | 0.777906i | ||||
\(847\) | 318.965 | + | 1300.17i | 0.376582 | + | 1.53503i | ||||
\(848\) | −864.512 | + | 689.425i | −1.01947 | + | 0.813001i | ||||
\(849\) | 130.566 | + | 592.363i | 0.153788 | + | 0.697719i | ||||
\(850\) | −19.8775 | + | 87.0889i | −0.0233853 | + | 0.102458i | ||||
\(851\) | 273.266i | 0.321112i | ||||||||
\(852\) | 365.065 | + | 86.1909i | 0.428480 | + | 0.101163i | ||||
\(853\) | −124.560 | + | 545.734i | −0.146026 | + | 0.639782i | 0.847940 | + | 0.530093i | \(0.177843\pi\) |
−0.993966 | + | 0.109690i | \(0.965014\pi\) | |||||||
\(854\) | −592.062 | + | 488.026i | −0.693281 | + | 0.571459i | ||||
\(855\) | −198.843 | − | 48.5136i | −0.232565 | − | 0.0567410i | ||||
\(856\) | 180.428 | + | 790.506i | 0.210780 | + | 0.923488i | ||||
\(857\) | 368.468 | − | 293.844i | 0.429951 | − | 0.342875i | −0.384481 | − | 0.923133i | \(-0.625620\pi\) |
0.814433 | + | 0.580258i | \(0.197048\pi\) | |||||||
\(858\) | −2243.07 | + | 1059.69i | −2.61430 | + | 1.23507i | ||||
\(859\) | −197.403 | − | 864.879i | −0.229806 | − | 1.00684i | −0.949798 | − | 0.312862i | \(-0.898712\pi\) |
0.719993 | − | 0.693981i | \(-0.244145\pi\) | |||||||
\(860\) | 66.2744 | − | 15.1267i | 0.0770633 | − | 0.0175892i | ||||
\(861\) | −321.889 | − | 653.762i | −0.373855 | − | 0.759305i | ||||
\(862\) | 225.444 | − | 987.734i | 0.261536 | − | 1.14586i | ||||
\(863\) | − | 1173.43i | − | 1.35971i | −0.733346 | − | 0.679856i | \(-0.762042\pi\) | ||
0.733346 | − | 0.679856i | \(-0.237958\pi\) | |||||||
\(864\) | −1188.91 | − | 992.410i | −1.37606 | − | 1.14862i | ||||
\(865\) | 162.149 | − | 710.422i | 0.187456 | − | 0.821297i | ||||
\(866\) | −817.664 | − | 1697.90i | −0.944185 | − | 1.96062i | ||||
\(867\) | −437.619 | + | 206.743i | −0.504751 | + | 0.238458i | ||||
\(868\) | 92.2902 | + | 376.196i | 0.106325 | + | 0.433405i | ||||
\(869\) | −1003.06 | − | 799.913i | −1.15427 | − | 0.920498i | ||||
\(870\) | −882.439 | + | 1798.00i | −1.01430 | + | 2.06667i | ||||
\(871\) | −150.698 | + | 188.969i | −0.173017 | + | 0.216957i | ||||
\(872\) | 1055.27 | + | 2191.29i | 1.21017 | + | 2.51294i | ||||
\(873\) | 101.043 | + | 475.241i | 0.115742 | + | 0.544377i | ||||
\(874\) | 718.967 | + | 346.236i | 0.822616 | + | 0.396151i | ||||
\(875\) | −882.209 | + | 216.428i | −1.00824 | + | 0.247346i | ||||
\(876\) | −64.7422 | − | 293.727i | −0.0739066 | − | 0.335305i | ||||
\(877\) | 1439.53 | + | 693.241i | 1.64142 | + | 0.790468i | 0.999724 | + | 0.0235130i | \(0.00748512\pi\) |
0.641701 | + | 0.766955i | \(0.278229\pi\) | |||||||
\(878\) | 2027.07 | − | 462.665i | 2.30873 | − | 0.526953i | ||||
\(879\) | −482.928 | − | 391.046i | −0.549407 | − | 0.444876i | ||||
\(880\) | 2002.11 | − | 2510.57i | 2.27512 | − | 2.85292i | ||||
\(881\) | − | 560.749i | − | 0.636492i | −0.948008 | − | 0.318246i | \(-0.896906\pi\) | ||
0.948008 | − | 0.318246i | \(-0.103094\pi\) | |||||||
\(882\) | −680.381 | + | 1478.25i | −0.771407 | + | 1.67602i | ||||
\(883\) | 722.257 | 0.817959 | 0.408979 | − | 0.912544i | \(-0.365885\pi\) | ||||
0.408979 | + | 0.912544i | \(0.365885\pi\) | |||||||
\(884\) | −1077.34 | − | 859.153i | −1.21871 | − | 0.971892i | ||||
\(885\) | −170.880 | + | 211.031i | −0.193084 | + | 0.238453i | ||||
\(886\) | 64.1673 | + | 281.136i | 0.0724236 | + | 0.317309i | ||||
\(887\) | 365.623 | − | 759.223i | 0.412202 | − | 0.855945i | −0.586732 | − | 0.809781i | \(-0.699586\pi\) |
0.998934 | − | 0.0461644i | \(-0.0146998\pi\) | |||||||
\(888\) | 364.953 | − | 80.4415i | 0.410983 | − | 0.0905873i | ||||
\(889\) | −187.425 | + | 887.060i | −0.210827 | + | 0.997818i | ||||
\(890\) | −81.3246 | + | 168.872i | −0.0913759 | + | 0.189744i | ||||
\(891\) | −1385.31 | − | 359.946i | −1.55478 | − | 0.403980i | ||||
\(892\) | 2825.52 | − | 1360.70i | 3.16762 | − | 1.52545i | ||||
\(893\) | −175.297 | − | 139.795i | −0.196302 | − | 0.156545i | ||||
\(894\) | 890.419 | + | 437.008i | 0.995995 | + | 0.488823i | ||||
\(895\) | −154.970 | + | 194.327i | −0.173151 | + | 0.217125i | ||||
\(896\) | −1.06972 | − | 66.1315i | −0.00119389 | − | 0.0738075i | ||||
\(897\) | −738.849 | − | 1563.94i | −0.823689 | − | 1.74353i | ||||
\(898\) | −1610.26 | + | 775.459i | −1.79316 | + | 0.863540i | ||||
\(899\) | −212.302 | − | 48.4564i | −0.236153 | − | 0.0539004i | ||||
\(900\) | 165.847 | + | 82.9350i | 0.184274 | + | 0.0921500i | ||||
\(901\) | −328.703 | −0.364820 | ||||||||
\(902\) | −2205.91 | − | 503.485i | −2.44558 | − | 0.558187i | ||||
\(903\) | −6.64504 | + | 30.3309i | −0.00735885 | + | 0.0335890i | ||||
\(904\) | 349.247 | + | 1530.15i | 0.386335 | + | 1.69264i | ||||
\(905\) | 1325.32 | − | 302.496i | 1.46444 | − | 0.334250i | ||||
\(906\) | 0.392080 | + | 0.829928i | 0.000432760 | + | 0.000916036i | ||||
\(907\) | −325.235 | − | 407.831i | −0.358583 | − | 0.449648i | 0.569517 | − | 0.821979i | \(-0.307130\pi\) |
−0.928100 | + | 0.372331i | \(0.878559\pi\) | |||||||
\(908\) | 2903.39 | − | 662.680i | 3.19757 | − | 0.729823i | ||||
\(909\) | 1106.19 | + | 269.888i | 1.21693 | + | 0.296906i | ||||
\(910\) | 323.759 | − | 1532.31i | 0.355779 | − | 1.68386i | ||||
\(911\) | 663.075 | + | 151.343i | 0.727854 | + | 0.166128i | 0.570363 | − | 0.821392i | \(-0.306802\pi\) |
0.157491 | + | 0.987520i | \(0.449660\pi\) | |||||||
\(912\) | 124.634 | − | 527.893i | 0.136660 | − | 0.578830i | ||||
\(913\) | −371.440 | −0.406835 | ||||||||
\(914\) | −1002.29 | − | 228.766i | −1.09660 | − | 0.250291i | ||||
\(915\) | 416.059 | − | 91.7060i | 0.454709 | − | 0.100225i | ||||
\(916\) | −2285.26 | − | 2865.62i | −2.49482 | − | 3.12841i | ||||
\(917\) | −703.779 | − | 1402.91i | −0.767480 | − | 1.52989i | ||||
\(918\) | −225.902 | − | 1102.83i | −0.246080 | − | 1.20134i | ||||
\(919\) | 172.168 | − | 754.318i | 0.187343 | − | 0.820803i | −0.790667 | − | 0.612246i | \(-0.790266\pi\) |
0.978010 | − | 0.208557i | \(-0.0668767\pi\) | |||||||
\(920\) | 3521.90 | + | 2808.62i | 3.82815 | + | 3.05285i | ||||
\(921\) | 168.737 | + | 765.540i | 0.183211 | + | 0.831205i | ||||
\(922\) | 1128.83 | + | 1415.51i | 1.22433 | + | 1.53526i | ||||
\(923\) | 71.5443 | − | 148.563i | 0.0775128 | − | 0.160957i | ||||
\(924\) | 1576.28 | + | 3201.45i | 1.70593 | + | 3.46477i | ||||
\(925\) | −11.6026 | + | 5.58752i | −0.0125434 | + | 0.00604056i | ||||
\(926\) | −763.827 | + | 1586.10i | −0.824868 | + | 1.71286i | ||||
\(927\) | −279.628 | + | 1146.11i | −0.301648 | + | 1.23637i | ||||
\(928\) | −1955.66 | − | 941.797i | −2.10739 | − | 1.01487i | ||||
\(929\) | −345.703 | − | 275.689i | −0.372124 | − | 0.296759i | 0.419515 | − | 0.907749i | \(-0.362200\pi\) |
−0.791639 | + | 0.610990i | \(0.790772\pi\) | |||||||
\(930\) | 69.9799 | − | 296.402i | 0.0752472 | − | 0.318712i | ||||
\(931\) | −232.958 | + | 7.53849i | −0.250223 | + | 0.00809720i | ||||
\(932\) | − | 82.7765i | − | 0.0888160i | ||||||
\(933\) | −1081.71 | + | 849.528i | −1.15939 | + | 0.910534i | ||||
\(934\) | 360.962 | + | 173.830i | 0.386469 | + | 0.186114i | ||||
\(935\) | 930.628 | − | 212.410i | 0.995324 | − | 0.227176i | ||||
\(936\) | −1871.19 | + | 1447.13i | −1.99913 | + | 1.54608i | ||||
\(937\) | −184.800 | + | 88.9951i | −0.197225 | + | 0.0949787i | −0.529890 | − | 0.848067i | \(-0.677767\pi\) |
0.332664 | + | 0.943045i | \(0.392052\pi\) | |||||||
\(938\) | 389.800 | + | 300.672i | 0.415566 | + | 0.320545i | ||||
\(939\) | 556.649 | − | 687.444i | 0.592811 | − | 0.732102i | ||||
\(940\) | −1351.17 | − | 1694.31i | −1.43742 | − | 1.80246i | ||||
\(941\) | 263.584 | + | 547.337i | 0.280110 | + | 0.581655i | 0.992794 | − | 0.119830i | \(-0.0382350\pi\) |
−0.712684 | + | 0.701485i | \(0.752521\pi\) | |||||||
\(942\) | 1787.23 | − | 1403.61i | 1.89727 | − | 1.49003i | ||||
\(943\) | 351.047 | − | 1538.04i | 0.372266 | − | 1.63100i | ||||
\(944\) | −562.608 | − | 448.665i | −0.595983 | − | 0.475281i | ||||
\(945\) | 709.933 | − | 559.007i | 0.751252 | − | 0.591542i | ||||
\(946\) | 60.1112 | + | 75.3771i | 0.0635425 | + | 0.0796798i | ||||
\(947\) | 16.2949 | + | 33.8366i | 0.0172068 | + | 0.0357303i | 0.909395 | − | 0.415933i | \(-0.136545\pi\) |
−0.892188 | + | 0.451664i | \(0.850831\pi\) | |||||||
\(948\) | −1880.33 | − | 922.846i | −1.98347 | − | 0.973466i | ||||
\(949\) | −132.221 | −0.139326 | ||||||||
\(950\) | 37.6062i | 0.0395854i | ||||||||
\(951\) | 78.5050 | − | 159.957i | 0.0825500 | − | 0.168199i | ||||
\(952\) | −1001.16 | + | 1297.93i | −1.05163 | + | 1.36337i | ||||
\(953\) | 1298.59 | − | 296.396i | 1.36264 | − | 0.311013i | 0.522155 | − | 0.852850i | \(-0.325128\pi\) |
0.840484 | + | 0.541837i | \(0.182271\pi\) | |||||||
\(954\) | −228.999 | + | 938.601i | −0.240041 | + | 0.983858i | ||||
\(955\) | −319.763 | − | 400.971i | −0.334831 | − | 0.419865i | ||||
\(956\) | 132.784 | − | 105.892i | 0.138896 | − | 0.110766i | ||||
\(957\) | −2006.07 | − | 14.9502i | −2.09620 | − | 0.0156219i | ||||
\(958\) | −318.518 | − | 1395.52i | −0.332483 | − | 1.45670i | ||||
\(959\) | 553.702 | + | 1103.74i | 0.577374 | + | 1.15093i | ||||
\(960\) | 376.728 | − | 767.597i | 0.392425 | − | 0.799580i | ||||
\(961\) | −927.888 | −0.965544 | ||||||||
\(962\) | − | 281.285i | − | 0.292396i | ||||||
\(963\) | 271.992 | + | 223.619i | 0.282442 | + | 0.232211i | ||||
\(964\) | 2554.96 | − | 1230.40i | 2.65037 | − | 1.27635i | ||||
\(965\) | −995.960 | + | 794.251i | −1.03208 | + | 0.823059i | ||||
\(966\) | −3160.64 | + | 1556.19i | −3.27188 | + | 1.61096i | ||||
\(967\) | 1094.62 | − | 1372.61i | 1.13197 | − | 1.41945i | 0.238034 | − | 0.971257i | \(-0.423497\pi\) |
0.893938 | − | 0.448191i | \(-0.147931\pi\) | |||||||
\(968\) | 3864.18 | + | 881.973i | 3.99192 | + | 0.911129i | ||||
\(969\) | 126.807 | − | 99.5887i | 0.130864 | − | 0.102775i | ||||
\(970\) | −858.080 | + | 413.230i | −0.884619 | + | 0.426010i | ||||
\(971\) | 90.8396 | − | 72.4421i | 0.0935526 | − | 0.0746057i | −0.575597 | − | 0.817734i | \(-0.695230\pi\) |
0.669149 | + | 0.743128i | \(0.266659\pi\) | |||||||
\(972\) | −2335.17 | − | 87.0528i | −2.40243 | − | 0.0895605i | ||||
\(973\) | 1645.29 | + | 759.799i | 1.69095 | + | 0.780883i | ||||
\(974\) | 512.567 | + | 1064.36i | 0.526249 | + | 1.09277i | ||||
\(975\) | 51.2961 | − | 63.3490i | 0.0526114 | − | 0.0649734i | ||||
\(976\) | 251.239 | + | 1100.75i | 0.257416 | + | 1.12782i | ||||
\(977\) | 42.8954 | − | 89.0732i | 0.0439052 | − | 0.0911701i | −0.877862 | − | 0.478913i | \(-0.841031\pi\) |
0.921768 | + | 0.387743i | \(0.126745\pi\) | |||||||
\(978\) | −1588.97 | + | 1247.90i | −1.62471 | + | 1.27597i | ||||
\(979\) | −187.738 | −0.191765 | ||||||||
\(980\) | −2211.39 | − | 429.998i | −2.25652 | − | 0.438774i | ||||
\(981\) | 944.657 | + | 472.395i | 0.962953 | + | 0.481544i | ||||
\(982\) | 1040.53 | − | 1304.78i | 1.05960 | − | 1.32870i | ||||
\(983\) | −59.6966 | + | 123.961i | −0.0607290 | + | 0.126105i | −0.929124 | − | 0.369767i | \(-0.879437\pi\) |
0.868395 | + | 0.495873i | \(0.165152\pi\) | |||||||
\(984\) | −2157.42 | − | 16.0782i | −2.19250 | − | 0.0163396i | ||||
\(985\) | 1577.05 | + | 759.467i | 1.60107 | + | 0.771033i | ||||
\(986\) | −684.592 | − | 1421.57i | −0.694313 | − | 1.44176i | ||||
\(987\) | 963.082 | − | 228.673i | 0.975767 | − | 0.231684i | ||||
\(988\) | −522.660 | − | 251.700i | −0.529008 | − | 0.254757i | ||||
\(989\) | −52.5554 | + | 41.9116i | −0.0531400 | + | 0.0423777i | ||||
\(990\) | 41.8162 | − | 2805.36i | 0.0422386 | − | 2.83370i | ||||
\(991\) | 802.401 | − | 1006.18i | 0.809688 | − | 1.01532i | −0.189751 | − | 0.981832i | \(-0.560768\pi\) |
0.999439 | − | 0.0334842i | \(-0.0106603\pi\) | |||||||
\(992\) | 321.783 | + | 73.4448i | 0.324378 | + | 0.0740371i | ||||
\(993\) | 413.308 | + | 526.271i | 0.416222 | + | 0.529980i | ||||
\(994\) | −304.906 | − | 140.806i | −0.306747 | − | 0.141656i | ||||
\(995\) | −316.307 | + | 252.247i | −0.317897 | + | 0.253514i | ||||
\(996\) | −592.206 | + | 130.532i | −0.594585 | + | 0.131056i | ||||
\(997\) | 270.711 | − | 1186.06i | 0.271525 | − | 1.18963i | −0.636687 | − | 0.771122i | \(-0.719696\pi\) |
0.908213 | − | 0.418509i | \(-0.137447\pi\) | |||||||
\(998\) | 1572.57i | 1.57572i | ||||||||
\(999\) | 103.997 | − | 124.589i | 0.104101 | − | 0.124714i |
(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 | 147.3.l.a.92.3 | yes | 216 | |
3.2 | odd | 2 | inner | 147.3.l.a.92.34 | yes | 216 | |
49.8 | even | 7 | inner | 147.3.l.a.8.34 | yes | 216 | |
147.8 | odd | 14 | inner | 147.3.l.a.8.3 | ✓ | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.3.l.a.8.3 | ✓ | 216 | 147.8 | odd | 14 | inner | |
147.3.l.a.8.34 | yes | 216 | 49.8 | even | 7 | inner | |
147.3.l.a.92.3 | yes | 216 | 1.1 | even | 1 | trivial | |
147.3.l.a.92.34 | yes | 216 | 3.2 | odd | 2 | inner |