Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,5,Mod(163,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.163");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.d (of order \(2\), degree \(1\), 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: | \(33.4918680392\) |
Analytic rank: | \(0\) |
Dimension: | \(22\) |
Twist minimal: | no (minimal twist has level 36) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 163.18 | ||
Character | \(\chi\) | \(=\) | 324.163 |
Dual form | 324.5.d.e.163.17 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 3.19553 | + | 2.40595i | 0.798883 | + | 0.601486i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 4.42285 | + | 15.3766i | 0.276428 | + | 0.961035i | ||||
\(5\) | 2.03090 | 0.0812361 | 0.0406181 | − | 0.999175i | \(-0.487067\pi\) | ||||
0.0406181 | + | 0.999175i | \(0.487067\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | − | 23.1347i | − | 0.472136i | −0.971737 | − | 0.236068i | \(-0.924141\pi\) | ||
0.971737 | − | 0.236068i | \(-0.0758589\pi\) | |||||||
\(8\) | −22.8618 | + | 59.7774i | −0.357216 | + | 0.934022i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 6.48981 | + | 4.88624i | 0.0648981 | + | 0.0488624i | ||||
\(11\) | 4.99936i | 0.0413171i | 0.999787 | + | 0.0206585i | \(0.00657628\pi\) | ||||
−0.999787 | + | 0.0206585i | \(0.993424\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 275.648 | 1.63105 | 0.815527 | − | 0.578719i | \(-0.196447\pi\) | ||||
0.815527 | + | 0.578719i | \(0.196447\pi\) | |||||||
\(14\) | 55.6608 | − | 73.9276i | 0.283984 | − | 0.377182i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −216.877 | + | 136.016i | −0.847175 | + | 0.531314i | ||||
\(17\) | 266.009 | 0.920447 | 0.460224 | − | 0.887803i | \(-0.347769\pi\) | ||||
0.460224 | + | 0.887803i | \(0.347769\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 367.194i | 1.01716i | 0.861015 | + | 0.508579i | \(0.169829\pi\) | ||||
−0.861015 | + | 0.508579i | \(0.830171\pi\) | |||||||
\(20\) | 8.98238 | + | 31.2283i | 0.0224559 | + | 0.0780707i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −12.0282 | + | 15.9756i | −0.0248516 | + | 0.0330075i | ||||
\(23\) | 628.704i | 1.18848i | 0.804289 | + | 0.594238i | \(0.202546\pi\) | ||||
−0.804289 | + | 0.594238i | \(0.797454\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −620.875 | −0.993401 | ||||||||
\(26\) | 880.842 | + | 663.194i | 1.30302 | + | 0.981057i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 355.732 | − | 102.321i | 0.453739 | − | 0.130512i | ||||
\(29\) | −638.962 | −0.759764 | −0.379882 | − | 0.925035i | \(-0.624035\pi\) | ||||
−0.379882 | + | 0.925035i | \(0.624035\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1375.47i | 1.43129i | 0.698464 | + | 0.715645i | \(0.253867\pi\) | ||||
−0.698464 | + | 0.715645i | \(0.746133\pi\) | |||||||
\(32\) | −1020.28 | − | 87.1493i | −0.996372 | − | 0.0851067i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 850.041 | + | 640.004i | 0.735330 | + | 0.553637i | ||||
\(35\) | − | 46.9843i | − | 0.0383545i | ||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1466.19 | 1.07099 | 0.535496 | − | 0.844538i | \(-0.320125\pi\) | ||||
0.535496 | + | 0.844538i | \(0.320125\pi\) | |||||||
\(38\) | −883.449 | + | 1173.38i | −0.611807 | + | 0.812590i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −46.4301 | + | 121.402i | −0.0290188 | + | 0.0758763i | ||||
\(41\) | 1186.04 | 0.705555 | 0.352777 | − | 0.935707i | \(-0.385237\pi\) | ||||
0.352777 | + | 0.935707i | \(0.385237\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 1651.61i | − | 0.893244i | −0.894723 | − | 0.446622i | \(-0.852627\pi\) | ||
0.894723 | − | 0.446622i | \(-0.147373\pi\) | |||||||
\(44\) | −76.8730 | + | 22.1114i | −0.0397071 | + | 0.0114212i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1512.63 | + | 2009.04i | −0.714852 | + | 0.949453i | ||||
\(47\) | 355.491i | 0.160928i | 0.996757 | + | 0.0804642i | \(0.0256403\pi\) | ||||
−0.996757 | + | 0.0804642i | \(0.974360\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1865.79 | 0.777087 | ||||||||
\(50\) | −1984.03 | − | 1493.79i | −0.793611 | − | 0.597517i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1219.15 | + | 4238.52i | 0.450869 | + | 1.56750i | ||||
\(53\) | −5297.49 | −1.88590 | −0.942950 | − | 0.332934i | \(-0.891961\pi\) | ||||
−0.942950 | + | 0.332934i | \(0.891961\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 10.1532i | 0.00335644i | ||||||||
\(56\) | 1382.93 | + | 528.900i | 0.440986 | + | 0.168654i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2041.82 | − | 1537.31i | −0.606963 | − | 0.456988i | ||||
\(59\) | 6031.37i | 1.73265i | 0.499478 | + | 0.866327i | \(0.333525\pi\) | ||||
−0.499478 | + | 0.866327i | \(0.666475\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1666.73 | 0.447925 | 0.223962 | − | 0.974598i | \(-0.428101\pi\) | ||||
0.223962 | + | 0.974598i | \(0.428101\pi\) | |||||||
\(62\) | −3309.31 | + | 4395.36i | −0.860902 | + | 1.14343i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3050.68 | − | 2733.24i | −0.744794 | − | 0.667295i | ||||
\(65\) | 559.815 | 0.132500 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 2203.58i | − | 0.490885i | −0.969411 | − | 0.245443i | \(-0.921067\pi\) | ||
0.969411 | − | 0.245443i | \(-0.0789333\pi\) | |||||||
\(68\) | 1176.52 | + | 4090.31i | 0.254437 | + | 0.884582i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 113.042 | − | 150.140i | 0.0230697 | − | 0.0306408i | ||||
\(71\) | 524.299i | 0.104007i | 0.998647 | + | 0.0520035i | \(0.0165607\pi\) | ||||
−0.998647 | + | 0.0520035i | \(0.983439\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1492.29 | −0.280032 | −0.140016 | − | 0.990149i | \(-0.544715\pi\) | ||||
−0.140016 | + | 0.990149i | \(0.544715\pi\) | |||||||
\(74\) | 4685.25 | + | 3527.57i | 0.855597 | + | 0.644187i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −5646.18 | + | 1624.04i | −0.977524 | + | 0.281171i | ||||
\(77\) | 115.659 | 0.0195073 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 5136.51i | − | 0.823027i | −0.911404 | − | 0.411513i | \(-0.865000\pi\) | ||
0.911404 | − | 0.411513i | \(-0.135000\pi\) | |||||||
\(80\) | −440.456 | + | 276.236i | −0.0688212 | + | 0.0431619i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 3790.02 | + | 2853.54i | 0.563656 | + | 0.424382i | ||||
\(83\) | 7988.66i | 1.15963i | 0.814750 | + | 0.579813i | \(0.196874\pi\) | ||||
−0.814750 | + | 0.579813i | \(0.803126\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 540.239 | 0.0747736 | ||||||||
\(86\) | 3973.68 | − | 5277.77i | 0.537274 | − | 0.713597i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −298.849 | − | 114.294i | −0.0385910 | − | 0.0147591i | ||||
\(89\) | 8860.17 | 1.11857 | 0.559283 | − | 0.828977i | \(-0.311076\pi\) | ||||
0.559283 | + | 0.828977i | \(0.311076\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − | 6377.03i | − | 0.770080i | ||||||
\(92\) | −9667.30 | + | 2780.66i | −1.14217 | + | 0.328528i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −855.292 | + | 1135.98i | −0.0967963 | + | 0.128563i | ||||
\(95\) | 745.735i | 0.0826300i | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6818.67 | 0.724696 | 0.362348 | − | 0.932043i | \(-0.381975\pi\) | ||||
0.362348 | + | 0.932043i | \(0.381975\pi\) | |||||||
\(98\) | 5962.18 | + | 4488.98i | 0.620802 | + | 0.467408i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2746.04 | − | 9546.92i | −0.274604 | − | 0.954692i | ||||
\(101\) | −3091.05 | −0.303015 | −0.151507 | − | 0.988456i | \(-0.548413\pi\) | ||||
−0.151507 | + | 0.988456i | \(0.548413\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 10865.0i | − | 1.02413i | −0.858947 | − | 0.512065i | \(-0.828881\pi\) | ||
0.858947 | − | 0.512065i | \(-0.171119\pi\) | |||||||
\(104\) | −6301.81 | + | 16477.5i | −0.582638 | + | 1.52344i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −16928.3 | − | 12745.5i | −1.50661 | − | 1.13434i | ||||
\(107\) | 14106.5i | 1.23212i | 0.787699 | + | 0.616060i | \(0.211272\pi\) | ||||
−0.787699 | + | 0.616060i | \(0.788728\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 16328.3 | 1.37432 | 0.687160 | − | 0.726506i | \(-0.258857\pi\) | ||||
0.687160 | + | 0.726506i | \(0.258857\pi\) | |||||||
\(110\) | −24.4281 | + | 32.4449i | −0.00201885 | + | 0.00268140i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 3146.69 | + | 5017.38i | 0.250853 | + | 0.399982i | ||||
\(113\) | −11822.9 | −0.925905 | −0.462952 | − | 0.886383i | \(-0.653210\pi\) | ||||
−0.462952 | + | 0.886383i | \(0.653210\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1276.84i | 0.0965472i | ||||||||
\(116\) | −2826.03 | − | 9825.03i | −0.210020 | − | 0.730160i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −14511.1 | + | 19273.4i | −1.04217 | + | 1.38419i | ||||
\(119\) | − | 6154.04i | − | 0.434577i | ||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 14616.0 | 0.998293 | ||||||||
\(122\) | 5326.08 | + | 4010.06i | 0.357839 | + | 0.269421i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −21150.0 | + | 6083.50i | −1.37552 | + | 0.395649i | ||||
\(125\) | −2530.25 | −0.161936 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 20979.9i | − | 1.30076i | −0.759609 | − | 0.650379i | \(-0.774610\pi\) | ||
0.759609 | − | 0.650379i | \(-0.225390\pi\) | |||||||
\(128\) | −3172.51 | − | 16073.9i | −0.193635 | − | 0.981074i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1788.91 | + | 1346.88i | 0.105852 | + | 0.0796972i | ||||
\(131\) | − | 28548.7i | − | 1.66358i | −0.555092 | − | 0.831789i | \(-0.687317\pi\) | ||
0.555092 | − | 0.831789i | \(-0.312683\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 8494.92 | 0.480237 | ||||||||
\(134\) | 5301.70 | − | 7041.62i | 0.295261 | − | 0.392160i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −6081.45 | + | 15901.3i | −0.328798 | + | 0.859718i | ||||
\(137\) | 618.873 | 0.0329731 | 0.0164866 | − | 0.999864i | \(-0.494752\pi\) | ||||
0.0164866 | + | 0.999864i | \(0.494752\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | − | 19422.0i | − | 1.00523i | −0.864511 | − | 0.502613i | \(-0.832372\pi\) | ||
0.864511 | − | 0.502613i | \(-0.167628\pi\) | |||||||
\(140\) | 722.456 | − | 207.804i | 0.0368600 | − | 0.0106023i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1261.44 | + | 1675.41i | −0.0625588 | + | 0.0830894i | ||||
\(143\) | 1378.07i | 0.0673903i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1297.67 | −0.0617203 | ||||||||
\(146\) | −4768.67 | − | 3590.38i | −0.223713 | − | 0.168436i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6484.72 | + | 22544.9i | 0.296052 | + | 1.02926i | ||||
\(149\) | −619.281 | −0.0278943 | −0.0139471 | − | 0.999903i | \(-0.504440\pi\) | ||||
−0.0139471 | + | 0.999903i | \(0.504440\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 4339.46i | 0.190319i | 0.995462 | + | 0.0951593i | \(0.0303361\pi\) | ||||
−0.995462 | + | 0.0951593i | \(0.969664\pi\) | |||||||
\(152\) | −21949.9 | − | 8394.72i | −0.950048 | − | 0.363345i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 369.591 | + | 278.268i | 0.0155840 | + | 0.0117334i | ||||
\(155\) | 2793.45i | 0.116272i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −6207.76 | −0.251846 | −0.125923 | − | 0.992040i | \(-0.540189\pi\) | ||||
−0.125923 | + | 0.992040i | \(0.540189\pi\) | |||||||
\(158\) | 12358.2 | − | 16413.9i | 0.495039 | − | 0.657502i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2072.10 | − | 176.992i | −0.0809414 | − | 0.00691374i | ||||
\(161\) | 14544.9 | 0.561123 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 15857.0i | 0.596824i | 0.954437 | + | 0.298412i | \(0.0964569\pi\) | ||||
−0.954437 | + | 0.298412i | \(0.903543\pi\) | |||||||
\(164\) | 5245.66 | + | 18237.2i | 0.195035 | + | 0.678063i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −19220.3 | + | 25528.0i | −0.697499 | + | 0.926406i | ||||
\(167\) | 418.996i | 0.0150237i | 0.999972 | + | 0.00751186i | \(0.00239112\pi\) | ||||
−0.999972 | + | 0.00751186i | \(0.997609\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 47420.9 | 1.66034 | ||||||||
\(170\) | 1726.35 | + | 1299.79i | 0.0597353 | + | 0.0449753i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 25396.0 | − | 7304.81i | 0.858438 | − | 0.246918i | ||||
\(173\) | 19200.8 | 0.641545 | 0.320772 | − | 0.947156i | \(-0.396058\pi\) | ||||
0.320772 | + | 0.947156i | \(0.396058\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 14363.8i | 0.469021i | ||||||||
\(176\) | −679.995 | − | 1084.25i | −0.0219523 | − | 0.0350028i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 28312.9 | + | 21317.1i | 0.893604 | + | 0.672803i | ||||
\(179\) | − | 49821.7i | − | 1.55494i | −0.628922 | − | 0.777468i | \(-0.716504\pi\) | ||
0.628922 | − | 0.777468i | \(-0.283496\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 13970.7 | 0.426443 | 0.213222 | − | 0.977004i | \(-0.431604\pi\) | ||||
0.213222 | + | 0.977004i | \(0.431604\pi\) | |||||||
\(182\) | 15342.8 | − | 20378.0i | 0.463193 | − | 0.615204i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −37582.3 | − | 14373.3i | −1.11006 | − | 0.424542i | ||||
\(185\) | 2977.68 | 0.0870031 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1329.88i | 0.0380302i | ||||||||
\(188\) | −5466.22 | + | 1572.28i | −0.154658 | + | 0.0444851i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1794.20 | + | 2383.02i | −0.0497008 | + | 0.0660117i | ||||
\(191\) | − | 31170.9i | − | 0.854442i | −0.904147 | − | 0.427221i | \(-0.859493\pi\) | ||
0.904147 | − | 0.427221i | \(-0.140507\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 26996.3 | 0.724753 | 0.362377 | − | 0.932032i | \(-0.381965\pi\) | ||||
0.362377 | + | 0.932032i | \(0.381965\pi\) | |||||||
\(194\) | 21789.3 | + | 16405.3i | 0.578948 | + | 0.435895i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 8252.09 | + | 28689.4i | 0.214809 | + | 0.746808i | ||||
\(197\) | −10416.4 | −0.268402 | −0.134201 | − | 0.990954i | \(-0.542847\pi\) | ||||
−0.134201 | + | 0.990954i | \(0.542847\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 8438.68i | − | 0.213093i | −0.994308 | − | 0.106546i | \(-0.966021\pi\) | ||
0.994308 | − | 0.106546i | \(-0.0339793\pi\) | |||||||
\(200\) | 14194.3 | − | 37114.3i | 0.354858 | − | 0.927858i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −9877.56 | − | 7436.91i | −0.242073 | − | 0.182259i | ||||
\(203\) | 14782.2i | 0.358712i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2408.73 | 0.0573165 | ||||||||
\(206\) | 26140.6 | − | 34719.4i | 0.616000 | − | 0.818159i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −59781.7 | + | 37492.7i | −1.38179 | + | 0.866602i | ||||
\(209\) | −1835.74 | −0.0420260 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 22945.7i | − | 0.515390i | −0.966226 | − | 0.257695i | \(-0.917037\pi\) | ||
0.966226 | − | 0.257695i | \(-0.0829630\pi\) | |||||||
\(212\) | −23430.0 | − | 81457.2i | −0.521316 | − | 1.81242i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −33939.6 | + | 45077.9i | −0.741104 | + | 0.984320i | ||||
\(215\) | − | 3354.25i | − | 0.0725637i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 31821.1 | 0.675764 | ||||||||
\(218\) | 52177.6 | + | 39285.0i | 1.09792 | + | 0.826635i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −156.122 | + | 44.9062i | −0.00322565 | + | 0.000927813i | ||||
\(221\) | 73325.0 | 1.50130 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 64260.3i | − | 1.29221i | −0.763249 | − | 0.646105i | \(-0.776397\pi\) | ||
0.763249 | − | 0.646105i | \(-0.223603\pi\) | |||||||
\(224\) | −2016.17 | + | 23604.0i | −0.0401820 | + | 0.470423i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −37780.4 | − | 28445.2i | −0.739690 | − | 0.556919i | ||||
\(227\) | 6705.37i | 0.130128i | 0.997881 | + | 0.0650641i | \(0.0207252\pi\) | ||||
−0.997881 | + | 0.0650641i | \(0.979275\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 35550.3 | 0.677910 | 0.338955 | − | 0.940803i | \(-0.389927\pi\) | ||||
0.338955 | + | 0.940803i | \(0.389927\pi\) | |||||||
\(230\) | −3072.00 | + | 4080.17i | −0.0580718 | + | 0.0771299i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 14607.8 | − | 38195.5i | 0.271400 | − | 0.709637i | ||||
\(233\) | −62439.9 | −1.15014 | −0.575070 | − | 0.818105i | \(-0.695025\pi\) | ||||
−0.575070 | + | 0.818105i | \(0.695025\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 721.967i | 0.0130732i | ||||||||
\(236\) | −92741.6 | + | 26675.8i | −1.66514 | + | 0.478954i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 14806.3 | − | 19665.4i | 0.261392 | − | 0.347176i | ||||
\(239\) | 3753.45i | 0.0657106i | 0.999460 | + | 0.0328553i | \(0.0104600\pi\) | ||||
−0.999460 | + | 0.0328553i | \(0.989540\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −89665.2 | −1.54380 | −0.771898 | − | 0.635747i | \(-0.780692\pi\) | ||||
−0.771898 | + | 0.635747i | \(0.780692\pi\) | |||||||
\(242\) | 46705.9 | + | 35165.3i | 0.797519 | + | 0.600460i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 7371.68 | + | 25628.5i | 0.123819 | + | 0.430471i | ||||
\(245\) | 3789.23 | 0.0631275 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 101216.i | 1.65904i | ||||||||
\(248\) | −82222.1 | − | 31445.7i | −1.33686 | − | 0.511279i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −8085.50 | − | 6087.65i | −0.129368 | − | 0.0974024i | ||||
\(251\) | − | 9246.49i | − | 0.146767i | −0.997304 | − | 0.0733836i | \(-0.976620\pi\) | ||
0.997304 | − | 0.0733836i | \(-0.0233798\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3143.12 | −0.0491043 | ||||||||
\(254\) | 50476.6 | − | 67042.1i | 0.782389 | − | 1.03915i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 28535.1 | − | 58997.6i | 0.435411 | − | 0.900232i | ||||
\(257\) | −15249.7 | −0.230885 | −0.115442 | − | 0.993314i | \(-0.536829\pi\) | ||||
−0.115442 | + | 0.993314i | \(0.536829\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | − | 33919.8i | − | 0.505654i | ||||||
\(260\) | 2475.97 | + | 8608.02i | 0.0366268 | + | 0.127338i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 68686.5 | − | 91228.1i | 1.00062 | − | 1.32900i | ||||
\(263\) | − | 103320.i | − | 1.49374i | −0.664971 | − | 0.746869i | \(-0.731556\pi\) | ||
0.664971 | − | 0.746869i | \(-0.268444\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −10758.7 | −0.153203 | ||||||||
\(266\) | 27145.8 | + | 20438.3i | 0.383653 | + | 0.288856i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 33883.5 | − | 9746.12i | 0.471758 | − | 0.135694i | ||||
\(269\) | 86017.8 | 1.18873 | 0.594366 | − | 0.804195i | \(-0.297403\pi\) | ||||
0.594366 | + | 0.804195i | \(0.297403\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 15629.0i | − | 0.212810i | −0.994323 | − | 0.106405i | \(-0.966066\pi\) | ||
0.994323 | − | 0.106405i | \(-0.0339340\pi\) | |||||||
\(272\) | −57691.3 | + | 36181.6i | −0.779780 | + | 0.489046i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1977.63 | + | 1488.97i | 0.0263417 | + | 0.0198329i | ||||
\(275\) | − | 3103.98i | − | 0.0410444i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −56614.6 | −0.737851 | −0.368926 | − | 0.929459i | \(-0.620274\pi\) | ||||
−0.368926 | + | 0.929459i | \(0.620274\pi\) | |||||||
\(278\) | 46728.2 | − | 62063.6i | 0.604630 | − | 0.803059i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2808.60 | + | 1074.15i | 0.0358240 | + | 0.0137008i | ||||
\(281\) | −111067. | −1.40661 | −0.703303 | − | 0.710890i | \(-0.748292\pi\) | ||||
−0.703303 | + | 0.710890i | \(0.748292\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | − | 91197.8i | − | 1.13871i | −0.822093 | − | 0.569353i | \(-0.807194\pi\) | ||
0.822093 | − | 0.569353i | \(-0.192806\pi\) | |||||||
\(284\) | −8061.91 | + | 2318.90i | −0.0999543 | + | 0.0287504i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3315.55 | + | 4403.65i | −0.0405344 | + | 0.0538370i | ||||
\(287\) | − | 27438.6i | − | 0.333118i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −12760.0 | −0.152776 | ||||||||
\(290\) | −4146.74 | − | 3122.12i | −0.0493073 | − | 0.0371239i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −6600.19 | − | 22946.3i | −0.0774088 | − | 0.269121i | ||||
\(293\) | −83015.0 | −0.966988 | −0.483494 | − | 0.875348i | \(-0.660633\pi\) | ||||
−0.483494 | + | 0.875348i | \(0.660633\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 12249.1i | 0.140754i | ||||||||
\(296\) | −33519.7 | + | 87644.8i | −0.382575 | + | 1.00033i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1978.93 | − | 1489.96i | −0.0222843 | − | 0.0167780i | ||||
\(299\) | 173301.i | 1.93847i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −38209.4 | −0.421733 | ||||||||
\(302\) | −10440.5 | + | 13866.9i | −0.114474 | + | 0.152042i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −49944.4 | − | 79635.9i | −0.540430 | − | 0.861711i | ||||
\(305\) | 3384.96 | 0.0363876 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 65201.8i | 0.691803i | 0.938271 | + | 0.345902i | \(0.112427\pi\) | ||||
−0.938271 | + | 0.345902i | \(0.887573\pi\) | |||||||
\(308\) | 511.541 | + | 1778.43i | 0.00539236 | + | 0.0187472i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6720.88 | + | 8926.55i | −0.0699363 | + | 0.0928881i | ||||
\(311\) | 133699.i | 1.38231i | 0.722705 | + | 0.691156i | \(0.242898\pi\) | ||||
−0.722705 | + | 0.691156i | \(0.757102\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 11240.1 | 0.114731 | 0.0573655 | − | 0.998353i | \(-0.481730\pi\) | ||||
0.0573655 | + | 0.998353i | \(0.481730\pi\) | |||||||
\(314\) | −19837.1 | − | 14935.5i | −0.201196 | − | 0.151482i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 78981.8 | − | 22718.0i | 0.790957 | − | 0.227508i | ||||
\(317\) | 39206.2 | 0.390154 | 0.195077 | − | 0.980788i | \(-0.437504\pi\) | ||||
0.195077 | + | 0.980788i | \(0.437504\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 3194.40i | − | 0.0313912i | ||||||
\(320\) | −6195.63 | − | 5550.94i | −0.0605042 | − | 0.0542084i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 46478.6 | + | 34994.1i | 0.448271 | + | 0.337508i | ||||
\(323\) | 97677.0i | 0.936240i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −171143. | −1.62029 | ||||||||
\(326\) | −38151.1 | + | 50671.6i | −0.358981 | + | 0.476792i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −27115.0 | + | 70898.2i | −0.252035 | + | 0.659004i | ||||
\(329\) | 8224.17 | 0.0759801 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 74751.4i | 0.682281i | 0.940012 | + | 0.341141i | \(0.110813\pi\) | ||||
−0.940012 | + | 0.341141i | \(0.889187\pi\) | |||||||
\(332\) | −122838. | + | 35332.7i | −1.11444 | + | 0.320553i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1008.08 | + | 1338.92i | −0.00903656 | + | 0.0120022i | ||||
\(335\) | − | 4475.27i | − | 0.0398776i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −141818. | −1.24874 | −0.624370 | − | 0.781129i | \(-0.714644\pi\) | ||||
−0.624370 | + | 0.781129i | \(0.714644\pi\) | |||||||
\(338\) | 151535. | + | 114092.i | 1.32642 | + | 0.998670i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2389.40 | + | 8307.01i | 0.0206695 | + | 0.0718600i | ||||
\(341\) | −6876.48 | −0.0591367 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 98710.7i | − | 0.839027i | ||||||
\(344\) | 98728.8 | + | 37758.7i | 0.834309 | + | 0.319081i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 61356.7 | + | 46196.1i | 0.512519 | + | 0.385880i | ||||
\(347\) | − | 183029.i | − | 1.52006i | −0.649886 | − | 0.760032i | \(-0.725183\pi\) | ||
0.649886 | − | 0.760032i | \(-0.274817\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 134558. | 1.10474 | 0.552368 | − | 0.833600i | \(-0.313724\pi\) | ||||
0.552368 | + | 0.833600i | \(0.313724\pi\) | |||||||
\(350\) | −34558.4 | + | 45899.8i | −0.282110 | + | 0.374693i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 435.691 | − | 5100.77i | 0.00351636 | − | 0.0411671i | ||||
\(353\) | 200278. | 1.60725 | 0.803626 | − | 0.595135i | \(-0.202901\pi\) | ||||
0.803626 | + | 0.595135i | \(0.202901\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1064.80i | 0.00844912i | ||||||||
\(356\) | 39187.2 | + | 136239.i | 0.309203 | + | 1.07498i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 119868. | − | 159207.i | 0.935273 | − | 1.24221i | ||||
\(359\) | 161179.i | 1.25060i | 0.780385 | + | 0.625300i | \(0.215023\pi\) | ||||
−0.780385 | + | 0.625300i | \(0.784977\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4510.46 | −0.0346104 | ||||||||
\(362\) | 44643.8 | + | 33612.8i | 0.340678 | + | 0.256500i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 98056.8 | − | 28204.6i | 0.740073 | − | 0.212872i | ||||
\(365\) | −3030.70 | −0.0227487 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 199565.i | 1.48167i | 0.671686 | + | 0.740836i | \(0.265571\pi\) | ||||
−0.671686 | + | 0.740836i | \(0.734429\pi\) | |||||||
\(368\) | −85514.0 | − | 136351.i | −0.631454 | − | 1.00685i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 9515.28 | + | 7164.14i | 0.0695053 | + | 0.0523312i | ||||
\(371\) | 122556.i | 0.890402i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5788.69 | −0.0416066 | −0.0208033 | − | 0.999784i | \(-0.506622\pi\) | ||||
−0.0208033 | + | 0.999784i | \(0.506622\pi\) | |||||||
\(374\) | −3199.61 | + | 4249.67i | −0.0228746 | + | 0.0303817i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −21250.3 | − | 8127.16i | −0.150311 | − | 0.0574861i | ||||
\(377\) | −176129. | −1.23922 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 217930.i | 1.51719i | 0.651565 | + | 0.758593i | \(0.274113\pi\) | ||||
−0.651565 | + | 0.758593i | \(0.725887\pi\) | |||||||
\(380\) | −11466.8 | + | 3298.27i | −0.0794102 | + | 0.0228412i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 74995.5 | − | 99607.6i | 0.513935 | − | 0.682599i | ||||
\(383\) | 69498.2i | 0.473780i | 0.971537 | + | 0.236890i | \(0.0761280\pi\) | ||||
−0.971537 | + | 0.236890i | \(0.923872\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 234.891 | 0.00158470 | ||||||||
\(386\) | 86267.6 | + | 64951.7i | 0.578993 | + | 0.435929i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 30157.9 | + | 104848.i | 0.200326 | + | 0.696458i | ||||
\(389\) | −57466.0 | −0.379762 | −0.189881 | − | 0.981807i | \(-0.560810\pi\) | ||||
−0.189881 | + | 0.981807i | \(0.560810\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 167241.i | 1.09393i | ||||||||
\(392\) | −42655.2 | + | 111532.i | −0.277588 | + | 0.725817i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −33286.0 | − | 25061.4i | −0.214422 | − | 0.161440i | ||||
\(395\) | − | 10431.7i | − | 0.0668595i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13255.8 | 0.0841056 | 0.0420528 | − | 0.999115i | \(-0.486610\pi\) | ||||
0.0420528 | + | 0.999115i | \(0.486610\pi\) | |||||||
\(398\) | 20303.0 | − | 26966.1i | 0.128172 | − | 0.170236i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 134653. | − | 84449.2i | 0.841584 | − | 0.527808i | ||||
\(401\) | 5375.31 | 0.0334283 | 0.0167142 | − | 0.999860i | \(-0.494679\pi\) | ||||
0.0167142 | + | 0.999860i | \(0.494679\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 379146.i | 2.33451i | ||||||||
\(404\) | −13671.3 | − | 47529.7i | −0.0837618 | − | 0.291208i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −35565.1 | + | 47236.9i | −0.215761 | + | 0.286569i | ||||
\(407\) | 7330.00i | 0.0442502i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −240693. | −1.43885 | −0.719427 | − | 0.694568i | \(-0.755596\pi\) | ||||
−0.719427 | + | 0.694568i | \(0.755596\pi\) | |||||||
\(410\) | 7697.16 | + | 5795.27i | 0.0457892 | + | 0.0344751i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 167066. | − | 48054.2i | 0.984224 | − | 0.283098i | ||||
\(413\) | 139534. | 0.818049 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 16224.2i | 0.0942035i | ||||||||
\(416\) | −281240. | − | 24022.5i | −1.62514 | − | 0.138814i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −5866.15 | − | 4416.68i | −0.0335738 | − | 0.0252781i | ||||
\(419\) | − | 35414.2i | − | 0.201720i | −0.994901 | − | 0.100860i | \(-0.967841\pi\) | ||
0.994901 | − | 0.100860i | \(-0.0321595\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −165096. | −0.931477 | −0.465739 | − | 0.884922i | \(-0.654211\pi\) | ||||
−0.465739 | + | 0.884922i | \(0.654211\pi\) | |||||||
\(422\) | 55206.1 | − | 73323.7i | 0.310000 | − | 0.411737i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 121110. | − | 316670.i | 0.673673 | − | 1.76147i | ||||
\(425\) | −165159. | −0.914373 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | − | 38559.2i | − | 0.211481i | ||||||
\(428\) | −216910. | + | 62391.1i | −1.18411 | + | 0.340593i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 8070.16 | − | 10718.6i | 0.0436461 | − | 0.0579699i | ||||
\(431\) | 161673.i | 0.870327i | 0.900351 | + | 0.435163i | \(0.143309\pi\) | ||||
−0.900351 | + | 0.435163i | \(0.856691\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −61835.3 | −0.329808 | −0.164904 | − | 0.986310i | \(-0.552731\pi\) | ||||
−0.164904 | + | 0.986310i | \(0.552731\pi\) | |||||||
\(434\) | 101685. | + | 76559.8i | 0.539857 | + | 0.406463i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 72217.6 | + | 251073.i | 0.379901 | + | 1.32077i | ||||
\(437\) | −230856. | −1.20887 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 309484.i | − | 1.60587i | −0.596069 | − | 0.802933i | \(-0.703272\pi\) | ||
0.596069 | − | 0.802933i | \(-0.296728\pi\) | |||||||
\(440\) | −606.933 | − | 232.121i | −0.00313499 | − | 0.00119897i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 234312. | + | 176416.i | 1.19936 | + | 0.903011i | ||||
\(443\) | − | 46898.7i | − | 0.238976i | −0.992836 | − | 0.119488i | \(-0.961875\pi\) | ||
0.992836 | − | 0.119488i | \(-0.0381252\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 17994.1 | 0.0908680 | ||||||||
\(446\) | 154607. | − | 205346.i | 0.777246 | − | 1.03232i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −63232.6 | + | 70576.4i | −0.315054 | + | 0.351644i | ||||
\(449\) | 124857. | 0.619328 | 0.309664 | − | 0.950846i | \(-0.399783\pi\) | ||||
0.309664 | + | 0.950846i | \(0.399783\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5929.43i | 0.0291514i | ||||||||
\(452\) | −52290.8 | − | 181795.i | −0.255946 | − | 0.889827i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −16132.8 | + | 21427.2i | −0.0782703 | + | 0.103957i | ||||
\(455\) | − | 12951.1i | − | 0.0625583i | ||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −125497. | −0.600898 | −0.300449 | − | 0.953798i | \(-0.597137\pi\) | ||||
−0.300449 | + | 0.953798i | \(0.597137\pi\) | |||||||
\(458\) | 113602. | + | 85532.1i | 0.541571 | + | 0.407754i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −19633.3 | + | 5647.25i | −0.0927852 | + | 0.0266883i | ||||
\(461\) | −103295. | −0.486045 | −0.243022 | − | 0.970021i | \(-0.578139\pi\) | ||||
−0.243022 | + | 0.970021i | \(0.578139\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 320504.i | 1.49510i | 0.664204 | + | 0.747552i | \(0.268771\pi\) | ||||
−0.664204 | + | 0.747552i | \(0.731229\pi\) | |||||||
\(464\) | 138576. | − | 86909.3i | 0.643654 | − | 0.403673i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −199529. | − | 150227.i | −0.918827 | − | 0.691793i | ||||
\(467\) | − | 427381.i | − | 1.95967i | −0.199820 | − | 0.979833i | \(-0.564036\pi\) | ||
0.199820 | − | 0.979833i | \(-0.435964\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −50979.2 | −0.231765 | ||||||||
\(470\) | −1737.01 | + | 2307.07i | −0.00786335 | + | 0.0104440i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −360539. | − | 137888.i | −1.61834 | − | 0.618931i | ||||
\(473\) | 8256.99 | 0.0369062 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | − | 227982.i | − | 1.01045i | ||||||
\(476\) | 94627.9 | − | 27218.4i | 0.417643 | − | 0.120129i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −9030.61 | + | 11994.3i | −0.0395240 | + | 0.0524951i | ||||
\(479\) | − | 192061.i | − | 0.837082i | −0.908198 | − | 0.418541i | \(-0.862542\pi\) | ||
0.908198 | − | 0.418541i | \(-0.137458\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 404152. | 1.74684 | ||||||||
\(482\) | −286528. | − | 215730.i | −1.23331 | − | 0.928572i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 64644.4 | + | 224744.i | 0.275956 | + | 0.959394i | ||||
\(485\) | 13848.1 | 0.0588715 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 52885.1i | 0.222985i | 0.993765 | + | 0.111492i | \(0.0355631\pi\) | ||||
−0.993765 | + | 0.111492i | \(0.964437\pi\) | |||||||
\(488\) | −38104.4 | + | 99632.6i | −0.160006 | + | 0.418371i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 12108.6 | + | 9116.68i | 0.0504315 | + | 0.0379704i | ||||
\(491\) | − | 7354.16i | − | 0.0305049i | −0.999884 | − | 0.0152525i | \(-0.995145\pi\) | ||
0.999884 | − | 0.0152525i | \(-0.00485520\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −169970. | −0.699323 | ||||||||
\(494\) | −243521. | + | 323440.i | −0.997890 | + | 1.32538i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −187086. | − | 298308.i | −0.760465 | − | 1.21255i | ||||
\(497\) | 12129.5 | 0.0491055 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 415048.i | − | 1.66685i | −0.552632 | − | 0.833426i | \(-0.686376\pi\) | ||
0.552632 | − | 0.833426i | \(-0.313624\pi\) | |||||||
\(500\) | −11190.9 | − | 38906.6i | −0.0447637 | − | 0.155626i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 22246.5 | − | 29547.4i | 0.0882785 | − | 0.117250i | ||||
\(503\) | − | 53242.3i | − | 0.210436i | −0.994449 | − | 0.105218i | \(-0.966446\pi\) | ||
0.994449 | − | 0.105218i | \(-0.0335541\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −6277.63 | −0.0246157 | ||||||||
\(506\) | −10043.9 | − | 7562.17i | −0.0392286 | − | 0.0295356i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 322599. | − | 92791.1i | 1.25007 | − | 0.359566i | ||||
\(509\) | 497261. | 1.91932 | 0.959662 | − | 0.281155i | \(-0.0907175\pi\) | ||||
0.959662 | + | 0.281155i | \(0.0907175\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 34523.7i | 0.132214i | ||||||||
\(512\) | 233130. | − | 119875.i | 0.889320 | − | 0.457286i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −48730.9 | − | 36689.9i | −0.184450 | − | 0.138874i | ||||
\(515\) | − | 22065.7i | − | 0.0831963i | ||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1777.23 | −0.00664909 | ||||||||
\(518\) | 81609.1 | − | 108392.i | 0.304144 | − | 0.403958i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −12798.4 | + | 33464.3i | −0.0473312 | + | 0.123758i | ||||
\(521\) | 58965.8 | 0.217233 | 0.108616 | − | 0.994084i | \(-0.465358\pi\) | ||||
0.108616 | + | 0.994084i | \(0.465358\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 117488.i | 0.429527i | 0.976666 | + | 0.214763i | \(0.0688980\pi\) | ||||
−0.976666 | + | 0.214763i | \(0.931102\pi\) | |||||||
\(524\) | 438980. | − | 126266.i | 1.59876 | − | 0.459859i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 248583. | − | 330163.i | 0.898463 | − | 1.19332i | ||||
\(527\) | 365888.i | 1.31743i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −115428. | −0.412475 | ||||||||
\(530\) | −34379.8 | − | 25884.8i | −0.122391 | − | 0.0921497i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 37571.7 | + | 130623.i | 0.132751 | + | 0.461525i | ||||
\(533\) | 326929. | 1.15080 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 28649.0i | 0.100093i | ||||||||
\(536\) | 131725. | + | 50377.9i | 0.458498 | + | 0.175352i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 274873. | + | 206954.i | 0.949658 | + | 0.715006i | ||||
\(539\) | 9327.75i | 0.0321070i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −16461.8 | −0.0562448 | −0.0281224 | − | 0.999604i | \(-0.508953\pi\) | ||||
−0.0281224 | + | 0.999604i | \(0.508953\pi\) | |||||||
\(542\) | 37602.5 | − | 49943.0i | 0.128002 | − | 0.170011i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −271405. | − | 23182.5i | −0.917108 | − | 0.0783363i | ||||
\(545\) | 33161.2 | 0.111644 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 389586.i | − | 1.30205i | −0.759056 | − | 0.651026i | \(-0.774339\pi\) | ||
0.759056 | − | 0.651026i | \(-0.225661\pi\) | |||||||
\(548\) | 2737.18 | + | 9516.13i | 0.00911470 | + | 0.0316883i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 7468.01 | − | 9918.87i | 0.0246876 | − | 0.0327897i | ||||
\(551\) | − | 234623.i | − | 0.772801i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −118831. | −0.388581 | ||||||||
\(554\) | −180914. | − | 136212.i | −0.589457 | − | 0.443807i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 298643. | − | 85900.5i | 0.966058 | − | 0.277873i | ||||
\(557\) | −434133. | −1.39931 | −0.699653 | − | 0.714483i | \(-0.746662\pi\) | ||||
−0.699653 | + | 0.714483i | \(0.746662\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 455263.i | − | 1.45693i | ||||||
\(560\) | 6390.63 | + | 10189.8i | 0.0203783 | + | 0.0324930i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −354918. | − | 267221.i | −1.12371 | − | 0.846054i | ||||
\(563\) | − | 222254.i | − | 0.701185i | −0.936528 | − | 0.350592i | \(-0.885980\pi\) | ||
0.936528 | − | 0.350592i | \(-0.114020\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −24011.1 | −0.0752169 | ||||||||
\(566\) | 219417. | − | 291425.i | 0.684916 | − | 0.909692i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −31341.2 | − | 11986.4i | −0.0971448 | − | 0.0371529i | ||||
\(569\) | −3925.12 | −0.0121235 | −0.00606175 | − | 0.999982i | \(-0.501930\pi\) | ||||
−0.00606175 | + | 0.999982i | \(0.501930\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 382845.i | 1.17422i | 0.809505 | + | 0.587112i | \(0.199735\pi\) | ||||
−0.809505 | + | 0.587112i | \(0.800265\pi\) | |||||||
\(572\) | −21189.9 | + | 6094.97i | −0.0647645 | + | 0.0186286i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 66015.8 | − | 87680.9i | 0.200366 | − | 0.266122i | ||||
\(575\) | − | 390347.i | − | 1.18063i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 18219.2 | 0.0547239 | 0.0273620 | − | 0.999626i | \(-0.491289\pi\) | ||||
0.0273620 | + | 0.999626i | \(0.491289\pi\) | |||||||
\(578\) | −40775.1 | − | 30700.0i | −0.122051 | − | 0.0918930i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −5739.40 | − | 19953.7i | −0.0170612 | − | 0.0593154i | ||||
\(581\) | 184815. | 0.547502 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | − | 26484.1i | − | 0.0779198i | ||||||
\(584\) | 34116.5 | − | 89205.4i | 0.100032 | − | 0.261556i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −265277. | − | 199730.i | −0.772510 | − | 0.581630i | ||||
\(587\) | 52925.7i | 0.153600i | 0.997047 | + | 0.0767998i | \(0.0244702\pi\) | ||||
−0.997047 | + | 0.0767998i | \(0.975530\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −505065. | −1.45585 | ||||||||
\(590\) | −29470.7 | + | 39142.4i | −0.0846616 | + | 0.112446i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −317982. | + | 199425.i | −0.907317 | + | 0.569032i | ||||
\(593\) | −216280. | −0.615046 | −0.307523 | − | 0.951541i | \(-0.599500\pi\) | ||||
−0.307523 | + | 0.951541i | \(0.599500\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 12498.3i | − | 0.0353033i | ||||||
\(596\) | −2738.99 | − | 9522.41i | −0.00771077 | − | 0.0268074i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −416953. | + | 553789.i | −1.16596 | + | 1.54861i | ||||
\(599\) | − | 300397.i | − | 0.837223i | −0.908165 | − | 0.418612i | \(-0.862517\pi\) | ||
0.908165 | − | 0.418612i | \(-0.137483\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 510971. | 1.41464 | 0.707322 | − | 0.706892i | \(-0.249903\pi\) | ||||
0.707322 | + | 0.706892i | \(0.249903\pi\) | |||||||
\(602\) | −122099. | − | 91929.8i | −0.336915 | − | 0.253667i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −66725.9 | + | 19192.8i | −0.182903 | + | 0.0526094i | ||||
\(605\) | 29683.7 | 0.0810974 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 178075.i | − | 0.483310i | −0.970362 | − | 0.241655i | \(-0.922310\pi\) | ||
0.970362 | − | 0.241655i | \(-0.0776902\pi\) | |||||||
\(608\) | 32000.7 | − | 374642.i | 0.0865670 | − | 1.01347i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 10816.8 | + | 8144.03i | 0.0290695 | + | 0.0218867i | ||||
\(611\) | 97990.4i | 0.262483i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 570495. | 1.51821 | 0.759103 | − | 0.650970i | \(-0.225638\pi\) | ||||
0.759103 | + | 0.650970i | \(0.225638\pi\) | |||||||
\(614\) | −156872. | + | 208354.i | −0.416110 | + | 0.552670i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2644.17 | + | 6913.77i | −0.00696831 | + | 0.0182202i | ||||
\(617\) | −215902. | −0.567134 | −0.283567 | − | 0.958952i | \(-0.591518\pi\) | ||||
−0.283567 | + | 0.958952i | \(0.591518\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 182810.i | 0.477110i | 0.971129 | + | 0.238555i | \(0.0766737\pi\) | ||||
−0.971129 | + | 0.238555i | \(0.923326\pi\) | |||||||
\(620\) | −42953.6 | + | 12355.0i | −0.111742 | + | 0.0321410i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −321672. | + | 427238.i | −0.831442 | + | 1.10431i | ||||
\(623\) | − | 204977.i | − | 0.528116i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 382908. | 0.980246 | ||||||||
\(626\) | 35918.0 | + | 27043.0i | 0.0916566 | + | 0.0690091i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −27456.0 | − | 95454.0i | −0.0696174 | − | 0.242033i | ||||
\(629\) | 390019. | 0.985791 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 153307.i | 0.385037i | 0.981293 | + | 0.192518i | \(0.0616655\pi\) | ||||
−0.981293 | + | 0.192518i | \(0.938335\pi\) | |||||||
\(632\) | 307047. | + | 117430.i | 0.768725 | + | 0.293998i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 125285. | + | 94328.0i | 0.311687 | + | 0.234672i | ||||
\(635\) | − | 42608.2i | − | 0.105669i | ||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 514301. | 1.26747 | ||||||||
\(638\) | 7685.56 | − | 10207.8i | 0.0188814 | − | 0.0250779i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −6443.06 | − | 32644.5i | −0.0157301 | − | 0.0796986i | ||||
\(641\) | −393252. | −0.957095 | −0.478547 | − | 0.878062i | \(-0.658837\pi\) | ||||
−0.478547 | + | 0.878062i | \(0.658837\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 444526.i | − | 1.07517i | −0.843211 | − | 0.537583i | \(-0.819338\pi\) | ||
0.843211 | − | 0.537583i | \(-0.180662\pi\) | |||||||
\(644\) | 64329.7 | + | 223650.i | 0.155110 | + | 0.539258i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −235006. | + | 312130.i | −0.563136 | + | 0.747947i | ||||
\(647\) | − | 152505.i | − | 0.364314i | −0.983269 | − | 0.182157i | \(-0.941692\pi\) | ||
0.983269 | − | 0.182157i | \(-0.0583079\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −30153.0 | −0.0715881 | ||||||||
\(650\) | −546893. | − | 411761.i | −1.29442 | − | 0.974583i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −243826. | + | 70133.1i | −0.573568 | + | 0.164979i | ||||
\(653\) | 299234. | 0.701753 | 0.350876 | − | 0.936422i | \(-0.385884\pi\) | ||||
0.350876 | + | 0.936422i | \(0.385884\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 57979.5i | − | 0.135143i | ||||||
\(656\) | −257224. | + | 161321.i | −0.597728 | + | 0.374871i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 26280.6 | + | 19786.9i | 0.0606992 | + | 0.0457010i | ||||
\(659\) | 417069.i | 0.960367i | 0.877168 | + | 0.480183i | \(0.159430\pi\) | ||||
−0.877168 | + | 0.480183i | \(0.840570\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 759550. | 1.73842 | 0.869208 | − | 0.494447i | \(-0.164629\pi\) | ||||
0.869208 | + | 0.494447i | \(0.164629\pi\) | |||||||
\(662\) | −179848. | + | 238870.i | −0.410383 | + | 0.545063i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −477542. | − | 182635.i | −1.08312 | − | 0.414237i | ||||
\(665\) | 17252.3 | 0.0390126 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 401718.i | − | 0.902962i | ||||||
\(668\) | −6442.72 | + | 1853.16i | −0.0144383 | + | 0.00415298i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 10767.2 | − | 14300.9i | 0.0239858 | − | 0.0318575i | ||||
\(671\) | 8332.58i | 0.0185069i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −37672.0 | −0.0831742 | −0.0415871 | − | 0.999135i | \(-0.513241\pi\) | ||||
−0.0415871 | + | 0.999135i | \(0.513241\pi\) | |||||||
\(674\) | −453184. | − | 341207.i | −0.997597 | − | 0.751100i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 209735. | + | 729170.i | 0.458964 | + | 1.59564i | ||||
\(677\) | 694020. | 1.51424 | 0.757120 | − | 0.653276i | \(-0.226606\pi\) | ||||
0.757120 | + | 0.653276i | \(0.226606\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | − | 157748.i | − | 0.342156i | ||||||
\(680\) | −12350.8 | + | 32294.1i | −0.0267103 | + | 0.0698402i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −21974.0 | − | 16544.4i | −0.0472433 | − | 0.0355699i | ||||
\(683\) | 357197.i | 0.765714i | 0.923808 | + | 0.382857i | \(0.125060\pi\) | ||||
−0.923808 | + | 0.382857i | \(0.874940\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1256.87 | 0.00267861 | ||||||||
\(686\) | 237493. | − | 315433.i | 0.504664 | − | 0.670285i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 224646. | + | 358195.i | 0.474593 | + | 0.756734i | ||||
\(689\) | −1.46024e6 | −3.07601 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 443952.i | 0.929778i | 0.885369 | + | 0.464889i | \(0.153906\pi\) | ||||
−0.885369 | + | 0.464889i | \(0.846094\pi\) | |||||||
\(692\) | 84922.2 | + | 295242.i | 0.177341 | + | 0.616547i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 440359. | − | 584876.i | 0.914297 | − | 1.21435i | ||||
\(695\) | − | 39444.2i | − | 0.0816607i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 315497. | 0.649426 | ||||||||
\(698\) | 429984. | + | 323739.i | 0.882555 | + | 0.664484i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −220865. | + | 63528.7i | −0.450745 | + | 0.129650i | ||||
\(701\) | 483771. | 0.984474 | 0.492237 | − | 0.870461i | \(-0.336179\pi\) | ||||
0.492237 | + | 0.870461i | \(0.336179\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 538375.i | 1.08937i | ||||||||
\(704\) | 13664.5 | − | 15251.4i | 0.0275706 | − | 0.0307727i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 639995. | + | 481858.i | 1.28401 | + | 0.966740i | ||||
\(707\) | 71510.5i | 0.143064i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 158339. | 0.314989 | 0.157494 | − | 0.987520i | \(-0.449658\pi\) | ||||
0.157494 | + | 0.987520i | \(0.449658\pi\) | |||||||
\(710\) | −2561.85 | + | 3402.60i | −0.00508203 | + | 0.00674986i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −202559. | + | 529638.i | −0.399569 | + | 1.04477i | ||||
\(713\) | −864764. | −1.70105 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2798.72i | 0.00547453i | ||||||||
\(716\) | 766087. | − | 220354.i | 1.49435 | − | 0.429828i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −387787. | + | 515051.i | −0.752219 | + | 0.999083i | ||||
\(719\) | 781622.i | 1.51196i | 0.654597 | + | 0.755978i | \(0.272838\pi\) | ||||
−0.654597 | + | 0.755978i | \(0.727162\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −251358. | −0.483529 | ||||||||
\(722\) | −14413.3 | − | 10851.9i | −0.0276496 | − | 0.0208177i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 61790.3 | + | 214821.i | 0.117881 | + | 0.409827i | ||||
\(725\) | 396716. | 0.754751 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 59571.1i | 0.112711i | 0.998411 | + | 0.0563556i | \(0.0179480\pi\) | ||||
−0.998411 | + | 0.0563556i | \(0.982052\pi\) | |||||||
\(728\) | 381202. | + | 145790.i | 0.719271 | + | 0.275085i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −9684.71 | − | 7291.71i | −0.0181736 | − | 0.0136831i | ||||
\(731\) | − | 439343.i | − | 0.822184i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −213845. | −0.398008 | −0.199004 | − | 0.979999i | \(-0.563771\pi\) | ||||
−0.199004 | + | 0.979999i | \(0.563771\pi\) | |||||||
\(734\) | −480143. | + | 637716.i | −0.891206 | + | 1.18368i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 54791.1 | − | 641457.i | 0.101147 | − | 1.18416i | ||||
\(737\) | 11016.5 | 0.0202819 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − | 218903.i | − | 0.400832i | −0.979711 | − | 0.200416i | \(-0.935771\pi\) | ||
0.979711 | − | 0.200416i | \(-0.0642294\pi\) | |||||||
\(740\) | 13169.8 | + | 45786.5i | 0.0240501 | + | 0.0836130i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −294863. | + | 391631.i | −0.535565 | + | 0.711327i | ||||
\(743\) | − | 498238.i | − | 0.902525i | −0.892391 | − | 0.451263i | \(-0.850974\pi\) | ||
0.892391 | − | 0.451263i | \(-0.149026\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1257.70 | −0.00226602 | ||||||||
\(746\) | −18497.9 | − | 13927.3i | −0.0332388 | − | 0.0250258i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −20448.9 | + | 5881.85i | −0.0365483 | + | 0.0105126i | ||||
\(749\) | 326350. | 0.581729 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 617010.i | − | 1.09399i | −0.837137 | − | 0.546994i | \(-0.815772\pi\) | ||
0.837137 | − | 0.546994i | \(-0.184228\pi\) | |||||||
\(752\) | −48352.6 | − | 77097.7i | −0.0855035 | − | 0.136335i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −562825. | − | 423756.i | −0.989989 | − | 0.745372i | ||||
\(755\) | 8813.01i | 0.0154607i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 483106. | 0.843045 | 0.421523 | − | 0.906818i | \(-0.361496\pi\) | ||||
0.421523 | + | 0.906818i | \(0.361496\pi\) | |||||||
\(758\) | −524328. | + | 696403.i | −0.912567 | + | 1.21205i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −44578.1 | − | 17048.9i | −0.0771782 | − | 0.0295167i | ||||
\(761\) | 137695. | 0.237765 | 0.118882 | − | 0.992908i | \(-0.462069\pi\) | ||||
0.118882 | + | 0.992908i | \(0.462069\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − | 377750.i | − | 0.648866i | ||||||
\(764\) | 479301. | − | 137864.i | 0.821148 | − | 0.236192i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −167209. | + | 222084.i | −0.284972 | + | 0.378494i | ||||
\(767\) | 1.66254e6i | 2.82605i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −346769. | −0.586392 | −0.293196 | − | 0.956052i | \(-0.594719\pi\) | ||||
−0.293196 | + | 0.956052i | \(0.594719\pi\) | |||||||
\(770\) | 750.603 | + | 565.136i | 0.00126599 | + | 0.000953173i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 119401. | + | 415110.i | 0.200342 | + | 0.696513i | ||||
\(773\) | 456941. | 0.764717 | 0.382358 | − | 0.924014i | \(-0.375112\pi\) | ||||
0.382358 | + | 0.924014i | \(0.375112\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 853996.i | − | 1.42185i | ||||||
\(776\) | −155887. | + | 407602.i | −0.258873 | + | 0.676882i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −183634. | − | 138260.i | −0.303386 | − | 0.228422i | ||||
\(779\) | 435506.i | 0.717661i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2621.16 | −0.00429726 | ||||||||
\(782\) | −402373. | + | 534424.i | −0.657984 | + | 0.873922i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −404646. | + | 253777.i | −0.658329 | + | 0.412877i | ||||
\(785\) | −12607.4 | −0.0204590 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 696264.i | 1.12415i | 0.827086 | + | 0.562075i | \(0.189997\pi\) | ||||
−0.827086 | + | 0.562075i | \(0.810003\pi\) | |||||||
\(788\) | −46070.3 | − | 160169.i | −0.0741940 | − | 0.257944i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 25098.2 | − | 33335.0i | 0.0402151 | − | 0.0534129i | ||||
\(791\) | 273518.i | 0.437153i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 459430. | 0.730589 | ||||||||
\(794\) | 42359.3 | + | 31892.7i | 0.0671905 | + | 0.0505884i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 129758. | − | 37323.0i | 0.204789 | − | 0.0589048i | ||||
\(797\) | −131361. | −0.206799 | −0.103399 | − | 0.994640i | \(-0.532972\pi\) | ||||
−0.103399 | + | 0.994640i | \(0.532972\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 94563.9i | 0.148126i | ||||||||
\(800\) | 633470. | + | 54108.9i | 0.989796 | + | 0.0845451i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 17177.0 | + | 12932.7i | 0.0267053 | + | 0.0201067i | ||||
\(803\) | − | 7460.52i | − | 0.0115701i | ||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 29539.2 | 0.0455834 | ||||||||
\(806\) | −912204. | + | 1.21157e6i | −1.40418 | + | 1.86500i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 70667.0 | − | 184775.i | 0.108242 | − | 0.283022i | ||||
\(809\) | −796199. | −1.21653 | −0.608267 | − | 0.793732i | \(-0.708135\pi\) | ||||
−0.608267 | + | 0.793732i | \(0.708135\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 116976.i | 0.177851i | 0.996038 | + | 0.0889253i | \(0.0283432\pi\) | ||||
−0.996038 | + | 0.0889253i | \(0.971657\pi\) | |||||||
\(812\) | −227299. | + | 65379.3i | −0.344735 | + | 0.0991582i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −17635.6 | + | 23423.3i | −0.0266159 | + | 0.0353507i | ||||
\(815\) | 32204.0i | 0.0484836i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 606461. | 0.908570 | ||||||||
\(818\) | −769142. | − | 579094.i | −1.14948 | − | 0.865451i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 10653.4 | + | 37037.9i | 0.0158439 | + | 0.0550832i | ||||
\(821\) | −293547. | −0.435503 | −0.217751 | − | 0.976004i | \(-0.569872\pi\) | ||||
−0.217751 | + | 0.976004i | \(0.569872\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − | 229452.i | − | 0.338760i | −0.985551 | − | 0.169380i | \(-0.945824\pi\) | ||
0.985551 | − | 0.169380i | \(-0.0541765\pi\) | |||||||
\(824\) | 649481. | + | 248393.i | 0.956559 | + | 0.365835i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 445885. | + | 335711.i | 0.653525 | + | 0.492045i | ||||
\(827\) | 673431.i | 0.984651i | 0.870411 | + | 0.492326i | \(0.163853\pi\) | ||||
−0.870411 | + | 0.492326i | \(0.836147\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 268282. | 0.390375 | 0.195188 | − | 0.980766i | \(-0.437468\pi\) | ||||
0.195188 | + | 0.980766i | \(0.437468\pi\) | |||||||
\(830\) | −39034.5 | + | 51844.9i | −0.0566621 | + | 0.0752576i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −840913. | − | 753412.i | −1.21480 | − | 1.08839i | ||||
\(833\) | 496317. | 0.715268 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 850.941i | 0.00122047i | ||||||||
\(836\) | −8119.18 | − | 28227.3i | −0.0116172 | − | 0.0403884i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 85204.7 | − | 113167.i | 0.121332 | − | 0.161151i | ||||
\(839\) | − | 1.00219e6i | − | 1.42373i | −0.702317 | − | 0.711865i | \(-0.747851\pi\) | ||
0.702317 | − | 0.711865i | \(-0.252149\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −299009. | −0.422758 | ||||||||
\(842\) | −527569. | − | 397212.i | −0.744141 | − | 0.560271i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 352826. | − | 101485.i | 0.495308 | − | 0.142468i | ||||
\(845\) | 96307.2 | 0.134879 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 338137.i | − | 0.471330i | ||||||
\(848\) | 1.14890e6 | − | 720546.i | 1.59769 | − | 1.00201i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −527770. | − | 397363.i | −0.730477 | − | 0.549983i | ||||
\(851\) | 921797.i | 1.27285i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 411590. | 0.565675 | 0.282837 | − | 0.959168i | \(-0.408724\pi\) | ||||
0.282837 | + | 0.959168i | \(0.408724\pi\) | |||||||
\(854\) | 92771.3 | − | 123217.i | 0.127203 | − | 0.168949i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −843253. | − | 322501.i | −1.15083 | − | 0.440133i | ||||
\(857\) | 920807. | 1.25374 | 0.626869 | − | 0.779125i | \(-0.284336\pi\) | ||||
0.626869 | + | 0.779125i | \(0.284336\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 601367.i | − | 0.814992i | −0.913207 | − | 0.407496i | \(-0.866402\pi\) | ||
0.913207 | − | 0.407496i | \(-0.133598\pi\) | |||||||
\(860\) | 51576.9 | − | 14835.4i | 0.0697362 | − | 0.0200586i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −388976. | + | 516631.i | −0.523490 | + | 0.695289i | ||||
\(863\) | − | 1.01872e6i | − | 1.36783i | −0.729560 | − | 0.683917i | \(-0.760275\pi\) | ||
0.729560 | − | 0.683917i | \(-0.239725\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 38994.9 | 0.0521166 | ||||||||
\(866\) | −197597. | − | 148772.i | −0.263478 | − | 0.198375i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 140740. | + | 489298.i | 0.186800 | + | 0.649433i | ||||
\(869\) | 25679.3 | 0.0340050 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 607414.i | − | 0.800661i | ||||||
\(872\) | −373294. | + | 976063.i | −0.490929 | + | 1.28365i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −737709. | − | 555428.i | −0.965744 | − | 0.727118i | ||||
\(875\) | 58536.6i | 0.0764559i | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 865345. | 1.12510 | 0.562549 | − | 0.826764i | \(-0.309821\pi\) | ||||
0.562549 | + | 0.826764i | \(0.309821\pi\) | |||||||
\(878\) | 744602. | − | 988967.i | 0.965907 | − | 1.28290i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −1381.00 | − | 2202.00i | −0.00178332 | − | 0.00284349i | ||||
\(881\) | −1.46275e6 | −1.88459 | −0.942296 | − | 0.334780i | \(-0.891338\pi\) | ||||
−0.942296 | + | 0.334780i | \(0.891338\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 162909.i | − | 0.208941i | −0.994528 | − | 0.104470i | \(-0.966685\pi\) | ||
0.994528 | − | 0.104470i | \(-0.0333148\pi\) | |||||||
\(884\) | 324305. | + | 1.12749e6i | 0.415001 | + | 1.44280i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 112836. | − | 149866.i | 0.143741 | − | 0.190914i | ||||
\(887\) | 222309.i | 0.282559i | 0.989970 | + | 0.141280i | \(0.0451217\pi\) | ||||
−0.989970 | + | 0.141280i | \(0.954878\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −485364. | −0.614136 | ||||||||
\(890\) | 57500.8 | + | 43292.9i | 0.0725929 | + | 0.0546559i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 988102. | − | 284213.i | 1.24186 | − | 0.357203i | ||||
\(893\) | −130534. | −0.163690 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 101183.i | − | 0.126317i | ||||||
\(896\) | −371865. | + | 73395.0i | −0.463201 | + | 0.0914219i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 398985. | + | 300400.i | 0.494771 | + | 0.372518i | ||||
\(899\) | − | 878873.i | − | 1.08744i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.40918e6 | −1.73587 | ||||||||
\(902\) | −14265.9 | + | 18947.7i | −0.0175342 | + | 0.0232886i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 270292. | − | 706741.i | 0.330748 | − | 0.864815i | ||||
\(905\) | 28373.1 | 0.0346426 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | − | 1.19701e6i | − | 1.45507i | −0.686071 | − | 0.727534i | \(-0.740666\pi\) | ||
0.686071 | − | 0.727534i | \(-0.259334\pi\) | |||||||
\(908\) | −103106. | + | 29656.8i | −0.125058 | + | 0.0359711i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 31159.7 | − | 41385.7i | 0.0376280 | − | 0.0499767i | ||||
\(911\) | 930730.i | 1.12147i | 0.827996 | + | 0.560734i | \(0.189481\pi\) | ||||
−0.827996 | + | 0.560734i | \(0.810519\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −39938.2 | −0.0479123 | ||||||||
\(914\) | −401029. | − | 301939.i | −0.480047 | − | 0.361432i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 157234. | + | 546641.i | 0.187393 | + | 0.651495i | ||||
\(917\) | −660464. | −0.785435 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.46503e6i | 1.73467i | 0.497725 | + | 0.867335i | \(0.334169\pi\) | ||||
−0.497725 | + | 0.867335i | \(0.665831\pi\) | |||||||
\(920\) | −76326.0 | − | 29190.8i | −0.0901772 | − | 0.0344882i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −330082. | − | 248522.i | −0.388293 | − | 0.292349i | ||||
\(923\) | 144522.i | 0.169641i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −910319. | −1.06392 | ||||||||
\(926\) | −771115. | + | 1.02418e6i | −0.899284 | + | 1.19441i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 651923. | + | 55685.1i | 0.757008 | + | 0.0646611i | ||||
\(929\) | −987182. | −1.14384 | −0.571921 | − | 0.820309i | \(-0.693802\pi\) | ||||
−0.571921 | + | 0.820309i | \(0.693802\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 685106.i | 0.790421i | ||||||||
\(932\) | −276162. | − | 960111.i | −0.317931 | − | 1.10532i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 1.02826e6 | − | 1.36571e6i | 1.17871 | − | 1.56554i | ||||
\(935\) | 2700.85i | 0.00308942i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −287243. | −0.327167 | −0.163584 | − | 0.986529i | \(-0.552305\pi\) | ||||
−0.163584 | + | 0.986529i | \(0.552305\pi\) | |||||||
\(938\) | −162906. | − | 122653.i | −0.185153 | − | 0.139403i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −11101.4 | + | 3193.15i | −0.0125638 | + | 0.00361380i | ||||
\(941\) | 298195. | 0.336760 | 0.168380 | − | 0.985722i | \(-0.446146\pi\) | ||||
0.168380 | + | 0.985722i | \(0.446146\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 745666.i | 0.838535i | ||||||||
\(944\) | −820364. | − | 1.30806e6i | −0.920583 | − | 1.46786i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 26385.5 | + | 19865.9i | 0.0294837 | + | 0.0221986i | ||||
\(947\) | − | 1.04409e6i | − | 1.16423i | −0.813106 | − | 0.582115i | \(-0.802225\pi\) | ||
0.813106 | − | 0.582115i | \(-0.197775\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −411348. | −0.456748 | ||||||||
\(950\) | 548512. | − | 728523.i | 0.607769 | − | 0.807228i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 367873. | + | 140692.i | 0.405904 | + | 0.155238i | ||||
\(953\) | 1.38691e6 | 1.52708 | 0.763539 | − | 0.645762i | \(-0.223460\pi\) | ||||
0.763539 | + | 0.645762i | \(0.223460\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 63305.1i | − | 0.0694115i | ||||||
\(956\) | −57715.2 | + | 16601.0i | −0.0631501 | + | 0.0181642i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 462088. | − | 613737.i | 0.503494 | − | 0.668731i | ||||
\(959\) | − | 14317.4i | − | 0.0155678i | ||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −968398. | −1.04859 | ||||||||
\(962\) | 1.29148e6 | + | 972367.i | 1.39552 | + | 1.05070i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −396576. | − | 1.37874e6i | −0.426748 | − | 1.48364i | ||||
\(965\) | 54826.9 | 0.0588761 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 805010.i | 0.860892i | 0.902616 | + | 0.430446i | \(0.141644\pi\) | ||||
−0.902616 | + | 0.430446i | \(0.858356\pi\) | |||||||
\(968\) | −334148. | + | 873707.i | −0.356606 | + | 0.932427i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 44251.9 | + | 33317.7i | 0.0470315 | + | 0.0354104i | ||||
\(971\) | 643421.i | 0.682428i | 0.939986 | + | 0.341214i | \(0.110838\pi\) | ||||
−0.939986 | + | 0.341214i | \(0.889162\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −449321. | −0.474604 | ||||||||
\(974\) | −127239. | + | 168996.i | −0.134122 | + | 0.178139i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −361475. | + | 226702.i | −0.379471 | + | 0.237989i | ||||
\(977\) | 127012. | 0.133062 | 0.0665311 | − | 0.997784i | \(-0.478807\pi\) | ||||
0.0665311 | + | 0.997784i | \(0.478807\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 44295.2i | 0.0462159i | ||||||||
\(980\) | 16759.2 | + | 58265.3i | 0.0174502 | + | 0.0606678i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 17693.7 | − | 23500.5i | 0.0183483 | − | 0.0243699i | ||||
\(983\) | 183207.i | 0.189599i | 0.995496 | + | 0.0947994i | \(0.0302210\pi\) | ||||
−0.995496 | + | 0.0947994i | \(0.969779\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −21154.8 | −0.0218040 | ||||||||
\(986\) | −543144. | − | 408938.i | −0.558677 | − | 0.420633i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.55636e6 | + | 447665.i | −1.59439 | + | 0.458605i | ||||
\(989\) | 1.03837e6 | 1.06160 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 684255.i | 0.696740i | 0.937357 | + | 0.348370i | \(0.113265\pi\) | ||||
−0.937357 | + | 0.348370i | \(0.886735\pi\) | |||||||
\(992\) | 119871. | − | 1.40337e6i | 0.121813 | − | 1.42610i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 38760.2 | + | 29182.9i | 0.0392295 | + | 0.0295363i | ||||
\(995\) | − | 17138.1i | − | 0.0173108i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −543633. | −0.546909 | −0.273455 | − | 0.961885i | \(-0.588166\pi\) | ||||
−0.273455 | + | 0.961885i | \(0.588166\pi\) | |||||||
\(998\) | 998582. | − | 1.32630e6i | 1.00259 | − | 1.33162i | ||||
\(999\) | 0 | 0 |
(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 | 324.5.d.e.163.18 | 22 | ||
3.2 | odd | 2 | 324.5.d.f.163.5 | 22 | |||
4.3 | odd | 2 | inner | 324.5.d.e.163.17 | 22 | ||
9.2 | odd | 6 | 36.5.f.a.31.11 | yes | 44 | ||
9.4 | even | 3 | 108.5.f.a.19.3 | 44 | |||
9.5 | odd | 6 | 36.5.f.a.7.20 | yes | 44 | ||
9.7 | even | 3 | 108.5.f.a.91.12 | 44 | |||
12.11 | even | 2 | 324.5.d.f.163.6 | 22 | |||
36.7 | odd | 6 | 108.5.f.a.91.3 | 44 | |||
36.11 | even | 6 | 36.5.f.a.31.20 | yes | 44 | ||
36.23 | even | 6 | 36.5.f.a.7.11 | ✓ | 44 | ||
36.31 | odd | 6 | 108.5.f.a.19.12 | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
36.5.f.a.7.11 | ✓ | 44 | 36.23 | even | 6 | ||
36.5.f.a.7.20 | yes | 44 | 9.5 | odd | 6 | ||
36.5.f.a.31.11 | yes | 44 | 9.2 | odd | 6 | ||
36.5.f.a.31.20 | yes | 44 | 36.11 | even | 6 | ||
108.5.f.a.19.3 | 44 | 9.4 | even | 3 | |||
108.5.f.a.19.12 | 44 | 36.31 | odd | 6 | |||
108.5.f.a.91.3 | 44 | 36.7 | odd | 6 | |||
108.5.f.a.91.12 | 44 | 9.7 | even | 3 | |||
324.5.d.e.163.17 | 22 | 4.3 | odd | 2 | inner | ||
324.5.d.e.163.18 | 22 | 1.1 | even | 1 | trivial | ||
324.5.d.f.163.5 | 22 | 3.2 | odd | 2 | |||
324.5.d.f.163.6 | 22 | 12.11 | even | 2 |