Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1815,2,Mod(364,1815)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1815, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1815.364");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1815 = 3 \cdot 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1815.c (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: | \(14.4928479669\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | no (minimal twist has level 165) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 364.1 | ||
Character | \(\chi\) | \(=\) | 1815.364 |
Dual form | 1815.2.c.k.364.24 |
$q$-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 \(\left(\mathbb{Z}/1815\mathbb{Z}\right)^\times\).
\(n\) | \(727\) | \(1211\) | \(1696\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 2.72592i | − | 1.92752i | −0.266778 | − | 0.963758i | \(-0.585959\pi\) | ||
0.266778 | − | 0.963758i | \(-0.414041\pi\) | |||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | −5.43063 | −2.71532 | ||||||||
\(5\) | 1.85250 | − | 1.25229i | 0.828464 | − | 0.560042i | ||||
\(6\) | 2.72592 | 1.11285 | ||||||||
\(7\) | − | 0.486331i | − | 0.183816i | −0.995768 | − | 0.0919080i | \(-0.970703\pi\) | ||
0.995768 | − | 0.0919080i | \(-0.0292966\pi\) | |||||||
\(8\) | 9.35163i | 3.30630i | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −3.41365 | − | 5.04977i | −1.07949 | − | 1.59688i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | − | 5.43063i | − | 1.56769i | ||||||
\(13\) | 3.61034i | 1.00133i | 0.865642 | + | 0.500663i | \(0.166911\pi\) | ||||
−0.865642 | + | 0.500663i | \(0.833089\pi\) | |||||||
\(14\) | −1.32570 | −0.354308 | ||||||||
\(15\) | 1.25229 | + | 1.85250i | 0.323340 | + | 0.478314i | ||||
\(16\) | 14.6305 | 3.65763 | ||||||||
\(17\) | 3.64283i | 0.883517i | 0.897134 | + | 0.441758i | \(0.145645\pi\) | ||||
−0.897134 | + | 0.441758i | \(0.854355\pi\) | |||||||
\(18\) | 2.72592i | 0.642505i | ||||||||
\(19\) | −1.63130 | −0.374245 | −0.187123 | − | 0.982337i | \(-0.559916\pi\) | ||||
−0.187123 | + | 0.982337i | \(0.559916\pi\) | |||||||
\(20\) | −10.0603 | + | 6.80074i | −2.24954 | + | 1.52069i | ||||
\(21\) | 0.486331 | 0.106126 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.54253i | 0.738668i | 0.929297 | + | 0.369334i | \(0.120414\pi\) | ||||
−0.929297 | + | 0.369334i | \(0.879586\pi\) | |||||||
\(24\) | −9.35163 | −1.90889 | ||||||||
\(25\) | 1.86353 | − | 4.63975i | 0.372706 | − | 0.927950i | ||||
\(26\) | 9.84148 | 1.93007 | ||||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 2.64109i | 0.499119i | ||||||||
\(29\) | 1.05606 | 0.196106 | 0.0980530 | − | 0.995181i | \(-0.468739\pi\) | ||||
0.0980530 | + | 0.995181i | \(0.468739\pi\) | |||||||
\(30\) | 5.04977 | − | 3.41365i | 0.921958 | − | 0.623244i | ||||
\(31\) | 6.10088 | 1.09575 | 0.547876 | − | 0.836560i | \(-0.315437\pi\) | ||||
0.547876 | + | 0.836560i | \(0.315437\pi\) | |||||||
\(32\) | − | 21.1784i | − | 3.74384i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 9.93007 | 1.70299 | ||||||||
\(35\) | −0.609029 | − | 0.900930i | −0.102945 | − | 0.152285i | ||||
\(36\) | 5.43063 | 0.905106 | ||||||||
\(37\) | 8.59108i | 1.41236i | 0.708030 | + | 0.706182i | \(0.249584\pi\) | ||||
−0.708030 | + | 0.706182i | \(0.750416\pi\) | |||||||
\(38\) | 4.44679i | 0.721364i | ||||||||
\(39\) | −3.61034 | −0.578116 | ||||||||
\(40\) | 11.7110 | + | 17.3239i | 1.85167 | + | 2.73915i | ||||
\(41\) | −10.9830 | −1.71525 | −0.857624 | − | 0.514276i | \(-0.828061\pi\) | ||||
−0.857624 | + | 0.514276i | \(0.828061\pi\) | |||||||
\(42\) | − | 1.32570i | − | 0.204560i | ||||||
\(43\) | 7.41765i | 1.13118i | 0.824686 | + | 0.565591i | \(0.191352\pi\) | ||||
−0.824686 | + | 0.565591i | \(0.808648\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.85250 | + | 1.25229i | −0.276155 | + | 0.186681i | ||||
\(46\) | 9.65665 | 1.42379 | ||||||||
\(47\) | 5.21295i | 0.760386i | 0.924907 | + | 0.380193i | \(0.124142\pi\) | ||||
−0.924907 | + | 0.380193i | \(0.875858\pi\) | |||||||
\(48\) | 14.6305i | 2.11173i | ||||||||
\(49\) | 6.76348 | 0.966212 | ||||||||
\(50\) | −12.6476 | − | 5.07983i | −1.78864 | − | 0.718396i | ||||
\(51\) | −3.64283 | −0.510099 | ||||||||
\(52\) | − | 19.6064i | − | 2.71892i | ||||||
\(53\) | 1.49020i | 0.204694i | 0.994749 | + | 0.102347i | \(0.0326353\pi\) | ||||
−0.994749 | + | 0.102347i | \(0.967365\pi\) | |||||||
\(54\) | −2.72592 | −0.370951 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 4.54799 | 0.607751 | ||||||||
\(57\) | − | 1.63130i | − | 0.216071i | ||||||
\(58\) | − | 2.87874i | − | 0.377998i | ||||||
\(59\) | 7.97599 | 1.03839 | 0.519193 | − | 0.854657i | \(-0.326233\pi\) | ||||
0.519193 | + | 0.854657i | \(0.326233\pi\) | |||||||
\(60\) | −6.80074 | − | 10.0603i | −0.877972 | − | 1.29877i | ||||
\(61\) | 10.8638 | 1.39097 | 0.695484 | − | 0.718542i | \(-0.255190\pi\) | ||||
0.695484 | + | 0.718542i | \(0.255190\pi\) | |||||||
\(62\) | − | 16.6305i | − | 2.11208i | ||||||
\(63\) | 0.486331i | 0.0612720i | ||||||||
\(64\) | −28.4694 | −3.55868 | ||||||||
\(65\) | 4.52120 | + | 6.68815i | 0.560785 | + | 0.829563i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 0.432515i | − | 0.0528401i | −0.999651 | − | 0.0264201i | \(-0.991589\pi\) | ||
0.999651 | − | 0.0264201i | \(-0.00841075\pi\) | |||||||
\(68\) | − | 19.7829i | − | 2.39903i | ||||||
\(69\) | −3.54253 | −0.426470 | ||||||||
\(70\) | −2.45586 | + | 1.66016i | −0.293532 | + | 0.198427i | ||||
\(71\) | 6.01324 | 0.713640 | 0.356820 | − | 0.934173i | \(-0.383861\pi\) | ||||
0.356820 | + | 0.934173i | \(0.383861\pi\) | |||||||
\(72\) | − | 9.35163i | − | 1.10210i | ||||||
\(73\) | − | 1.16412i | − | 0.136250i | −0.997677 | − | 0.0681252i | \(-0.978298\pi\) | ||
0.997677 | − | 0.0681252i | \(-0.0217017\pi\) | |||||||
\(74\) | 23.4186 | 2.72236 | ||||||||
\(75\) | 4.63975 | + | 1.86353i | 0.535752 | + | 0.215182i | ||||
\(76\) | 8.85898 | 1.01619 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 9.84148i | 1.11433i | ||||||||
\(79\) | −4.42494 | −0.497845 | −0.248922 | − | 0.968523i | \(-0.580076\pi\) | ||||
−0.248922 | + | 0.968523i | \(0.580076\pi\) | |||||||
\(80\) | 27.1031 | − | 18.3217i | 3.03022 | − | 2.04843i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | 29.9386i | 3.30617i | ||||||||
\(83\) | 3.17731i | 0.348755i | 0.984679 | + | 0.174377i | \(0.0557912\pi\) | ||||
−0.984679 | + | 0.174377i | \(0.944209\pi\) | |||||||
\(84\) | −2.64109 | −0.288166 | ||||||||
\(85\) | 4.56189 | + | 6.74836i | 0.494807 | + | 0.731962i | ||||
\(86\) | 20.2199 | 2.18037 | ||||||||
\(87\) | 1.05606i | 0.113222i | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.38354 | −0.146655 | −0.0733274 | − | 0.997308i | \(-0.523362\pi\) | ||||
−0.0733274 | + | 0.997308i | \(0.523362\pi\) | |||||||
\(90\) | 3.41365 | + | 5.04977i | 0.359830 | + | 0.532293i | ||||
\(91\) | 1.75582 | 0.184060 | ||||||||
\(92\) | − | 19.2382i | − | 2.00572i | ||||||
\(93\) | 6.10088i | 0.632632i | ||||||||
\(94\) | 14.2101 | 1.46566 | ||||||||
\(95\) | −3.02198 | + | 2.04286i | −0.310049 | + | 0.209593i | ||||
\(96\) | 21.1784 | 2.16151 | ||||||||
\(97\) | − | 1.39973i | − | 0.142121i | −0.997472 | − | 0.0710605i | \(-0.977362\pi\) | ||
0.997472 | − | 0.0710605i | \(-0.0226383\pi\) | |||||||
\(98\) | − | 18.4367i | − | 1.86239i | ||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −10.1201 | + | 25.1968i | −1.01201 | + | 2.51968i | ||||
\(101\) | 0.113225 | 0.0112663 | 0.00563315 | − | 0.999984i | \(-0.498207\pi\) | ||||
0.00563315 | + | 0.999984i | \(0.498207\pi\) | |||||||
\(102\) | 9.93007i | 0.983223i | ||||||||
\(103\) | − | 7.24830i | − | 0.714197i | −0.934067 | − | 0.357098i | \(-0.883766\pi\) | ||
0.934067 | − | 0.357098i | \(-0.116234\pi\) | |||||||
\(104\) | −33.7625 | −3.31069 | ||||||||
\(105\) | 0.900930 | − | 0.609029i | 0.0879217 | − | 0.0594351i | ||||
\(106\) | 4.06216 | 0.394551 | ||||||||
\(107\) | − | 8.65879i | − | 0.837077i | −0.908199 | − | 0.418539i | \(-0.862542\pi\) | ||
0.908199 | − | 0.418539i | \(-0.137458\pi\) | |||||||
\(108\) | 5.43063i | 0.522563i | ||||||||
\(109\) | 4.41573 | 0.422951 | 0.211475 | − | 0.977383i | \(-0.432173\pi\) | ||||
0.211475 | + | 0.977383i | \(0.432173\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −8.59108 | −0.815429 | ||||||||
\(112\) | − | 7.11528i | − | 0.672331i | ||||||
\(113\) | − | 18.3647i | − | 1.72761i | −0.503829 | − | 0.863803i | \(-0.668076\pi\) | ||
0.503829 | − | 0.863803i | \(-0.331924\pi\) | |||||||
\(114\) | −4.44679 | −0.416480 | ||||||||
\(115\) | 4.43628 | + | 6.56254i | 0.413685 | + | 0.611960i | ||||
\(116\) | −5.73509 | −0.532490 | ||||||||
\(117\) | − | 3.61034i | − | 0.333776i | ||||||
\(118\) | − | 21.7419i | − | 2.00150i | ||||||
\(119\) | 1.77162 | 0.162405 | ||||||||
\(120\) | −17.3239 | + | 11.7110i | −1.58145 | + | 1.06906i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | − | 29.6139i | − | 2.68111i | ||||||
\(123\) | − | 10.9830i | − | 0.990299i | ||||||
\(124\) | −33.1317 | −2.97531 | ||||||||
\(125\) | −2.35813 | − | 10.9288i | −0.210918 | − | 0.977504i | ||||
\(126\) | 1.32570 | 0.118103 | ||||||||
\(127\) | 10.6069i | 0.941211i | 0.882344 | + | 0.470605i | \(0.155964\pi\) | ||||
−0.882344 | + | 0.470605i | \(0.844036\pi\) | |||||||
\(128\) | 35.2487i | 3.11557i | ||||||||
\(129\) | −7.41765 | −0.653088 | ||||||||
\(130\) | 18.2314 | − | 12.3244i | 1.59900 | − | 1.08092i | ||||
\(131\) | −16.5042 | −1.44198 | −0.720989 | − | 0.692946i | \(-0.756312\pi\) | ||||
−0.720989 | + | 0.692946i | \(0.756312\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.793351i | 0.0687923i | ||||||||
\(134\) | −1.17900 | −0.101850 | ||||||||
\(135\) | −1.25229 | − | 1.85250i | −0.107780 | − | 0.159438i | ||||
\(136\) | −34.0664 | −2.92117 | ||||||||
\(137\) | − | 6.08516i | − | 0.519890i | −0.965623 | − | 0.259945i | \(-0.916296\pi\) | ||
0.965623 | − | 0.259945i | \(-0.0837045\pi\) | |||||||
\(138\) | 9.65665i | 0.822028i | ||||||||
\(139\) | −17.3522 | −1.47179 | −0.735897 | − | 0.677093i | \(-0.763239\pi\) | ||||
−0.735897 | + | 0.677093i | \(0.763239\pi\) | |||||||
\(140\) | 3.30741 | + | 4.89262i | 0.279527 | + | 0.413502i | ||||
\(141\) | −5.21295 | −0.439009 | ||||||||
\(142\) | − | 16.3916i | − | 1.37555i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −14.6305 | −1.21921 | ||||||||
\(145\) | 1.95636 | − | 1.32250i | 0.162467 | − | 0.109828i | ||||
\(146\) | −3.17331 | −0.262625 | ||||||||
\(147\) | 6.76348i | 0.557843i | ||||||||
\(148\) | − | 46.6550i | − | 3.83502i | ||||||
\(149\) | 19.8854 | 1.62907 | 0.814537 | − | 0.580112i | \(-0.196991\pi\) | ||||
0.814537 | + | 0.580112i | \(0.196991\pi\) | |||||||
\(150\) | 5.07983 | − | 12.6476i | 0.414766 | − | 1.03267i | ||||
\(151\) | 0.0635504 | 0.00517166 | 0.00258583 | − | 0.999997i | \(-0.499177\pi\) | ||||
0.00258583 | + | 0.999997i | \(0.499177\pi\) | |||||||
\(152\) | − | 15.2553i | − | 1.23737i | ||||||
\(153\) | − | 3.64283i | − | 0.294506i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 11.3019 | − | 7.64009i | 0.907790 | − | 0.613667i | ||||
\(156\) | 19.6064 | 1.56977 | ||||||||
\(157\) | 0.974621i | 0.0777832i | 0.999243 | + | 0.0388916i | \(0.0123827\pi\) | ||||
−0.999243 | + | 0.0388916i | \(0.987617\pi\) | |||||||
\(158\) | 12.0620i | 0.959604i | ||||||||
\(159\) | −1.49020 | −0.118180 | ||||||||
\(160\) | −26.5215 | − | 39.2329i | −2.09671 | − | 3.10164i | ||||
\(161\) | 1.72284 | 0.135779 | ||||||||
\(162\) | − | 2.72592i | − | 0.214168i | ||||||
\(163\) | 17.7133i | 1.38741i | 0.720259 | + | 0.693706i | \(0.244023\pi\) | ||||
−0.720259 | + | 0.693706i | \(0.755977\pi\) | |||||||
\(164\) | 59.6444 | 4.65744 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 8.66108 | 0.672230 | ||||||||
\(167\) | 9.77201i | 0.756181i | 0.925769 | + | 0.378091i | \(0.123419\pi\) | ||||
−0.925769 | + | 0.378091i | \(0.876581\pi\) | |||||||
\(168\) | 4.54799i | 0.350885i | ||||||||
\(169\) | −0.0345228 | −0.00265560 | ||||||||
\(170\) | 18.3955 | − | 12.4353i | 1.41087 | − | 0.953748i | ||||
\(171\) | 1.63130 | 0.124748 | ||||||||
\(172\) | − | 40.2826i | − | 3.07152i | ||||||
\(173\) | 8.18166i | 0.622040i | 0.950403 | + | 0.311020i | \(0.100671\pi\) | ||||
−0.950403 | + | 0.311020i | \(0.899329\pi\) | |||||||
\(174\) | 2.87874 | 0.218237 | ||||||||
\(175\) | −2.25645 | − | 0.906292i | −0.170572 | − | 0.0685092i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 7.97599i | 0.599512i | ||||||||
\(178\) | 3.77141i | 0.282679i | ||||||||
\(179\) | −0.535958 | −0.0400593 | −0.0200297 | − | 0.999799i | \(-0.506376\pi\) | ||||
−0.0200297 | + | 0.999799i | \(0.506376\pi\) | |||||||
\(180\) | 10.0603 | − | 6.80074i | 0.749848 | − | 0.506897i | ||||
\(181\) | −5.09381 | −0.378620 | −0.189310 | − | 0.981917i | \(-0.560625\pi\) | ||||
−0.189310 | + | 0.981917i | \(0.560625\pi\) | |||||||
\(182\) | − | 4.78622i | − | 0.354778i | ||||||
\(183\) | 10.8638i | 0.803076i | ||||||||
\(184\) | −33.1284 | −2.44226 | ||||||||
\(185\) | 10.7585 | + | 15.9150i | 0.790984 | + | 1.17009i | ||||
\(186\) | 16.6305 | 1.21941 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | − | 28.3096i | − | 2.06469i | ||||||
\(189\) | −0.486331 | −0.0353754 | ||||||||
\(190\) | 5.56867 | + | 8.23768i | 0.403994 | + | 0.597624i | ||||
\(191\) | 12.1508 | 0.879204 | 0.439602 | − | 0.898193i | \(-0.355120\pi\) | ||||
0.439602 | + | 0.898193i | \(0.355120\pi\) | |||||||
\(192\) | − | 28.4694i | − | 2.05460i | ||||||
\(193\) | − | 9.45132i | − | 0.680321i | −0.940367 | − | 0.340161i | \(-0.889519\pi\) | ||
0.940367 | − | 0.340161i | \(-0.110481\pi\) | |||||||
\(194\) | −3.81555 | −0.273941 | ||||||||
\(195\) | −6.68815 | + | 4.52120i | −0.478949 | + | 0.323770i | ||||
\(196\) | −36.7300 | −2.62357 | ||||||||
\(197\) | 7.89908i | 0.562786i | 0.959593 | + | 0.281393i | \(0.0907965\pi\) | ||||
−0.959593 | + | 0.281393i | \(0.909203\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2.60454 | −0.184631 | −0.0923155 | − | 0.995730i | \(-0.529427\pi\) | ||||
−0.0923155 | + | 0.995730i | \(0.529427\pi\) | |||||||
\(200\) | 43.3892 | + | 17.4270i | 3.06808 | + | 1.23228i | ||||
\(201\) | 0.432515 | 0.0305073 | ||||||||
\(202\) | − | 0.308642i | − | 0.0217160i | ||||||
\(203\) | − | 0.513597i | − | 0.0360474i | ||||||
\(204\) | 19.7829 | 1.38508 | ||||||||
\(205\) | −20.3459 | + | 13.7539i | −1.42102 | + | 0.960612i | ||||
\(206\) | −19.7583 | −1.37663 | ||||||||
\(207\) | − | 3.54253i | − | 0.246223i | ||||||
\(208\) | 52.8211i | 3.66248i | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −1.66016 | − | 2.45586i | −0.114562 | − | 0.169471i | ||||
\(211\) | 10.3434 | 0.712070 | 0.356035 | − | 0.934473i | \(-0.384128\pi\) | ||||
0.356035 | + | 0.934473i | \(0.384128\pi\) | |||||||
\(212\) | − | 8.09271i | − | 0.555810i | ||||||
\(213\) | 6.01324i | 0.412020i | ||||||||
\(214\) | −23.6032 | −1.61348 | ||||||||
\(215\) | 9.28907 | + | 13.7412i | 0.633509 | + | 0.937143i | ||||
\(216\) | 9.35163 | 0.636298 | ||||||||
\(217\) | − | 2.96705i | − | 0.201417i | ||||||
\(218\) | − | 12.0369i | − | 0.815244i | ||||||
\(219\) | 1.16412 | 0.0786642 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −13.1519 | −0.884689 | ||||||||
\(222\) | 23.4186i | 1.57175i | ||||||||
\(223\) | 14.3880i | 0.963495i | 0.876310 | + | 0.481747i | \(0.159998\pi\) | ||||
−0.876310 | + | 0.481747i | \(0.840002\pi\) | |||||||
\(224\) | −10.2997 | −0.688177 | ||||||||
\(225\) | −1.86353 | + | 4.63975i | −0.124235 | + | 0.309317i | ||||
\(226\) | −50.0607 | −3.32999 | ||||||||
\(227\) | − | 1.42444i | − | 0.0945433i | −0.998882 | − | 0.0472716i | \(-0.984947\pi\) | ||
0.998882 | − | 0.0472716i | \(-0.0150526\pi\) | |||||||
\(228\) | 8.85898i | 0.586700i | ||||||||
\(229\) | 5.05918 | 0.334320 | 0.167160 | − | 0.985930i | \(-0.446540\pi\) | ||||
0.167160 | + | 0.985930i | \(0.446540\pi\) | |||||||
\(230\) | 17.8890 | − | 12.0929i | 1.17956 | − | 0.797385i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 9.87592i | 0.648386i | ||||||||
\(233\) | 20.9099i | 1.36985i | 0.728613 | + | 0.684925i | \(0.240165\pi\) | ||||
−0.728613 | + | 0.684925i | \(0.759835\pi\) | |||||||
\(234\) | −9.84148 | −0.643358 | ||||||||
\(235\) | 6.52813 | + | 9.65699i | 0.425848 | + | 0.629953i | ||||
\(236\) | −43.3147 | −2.81955 | ||||||||
\(237\) | − | 4.42494i | − | 0.287431i | ||||||
\(238\) | − | 4.82930i | − | 0.313037i | ||||||
\(239\) | −18.5389 | −1.19918 | −0.599590 | − | 0.800307i | \(-0.704670\pi\) | ||||
−0.599590 | + | 0.800307i | \(0.704670\pi\) | |||||||
\(240\) | 18.3217 | + | 27.1031i | 1.18266 | + | 1.74950i | ||||
\(241\) | 21.5816 | 1.39019 | 0.695095 | − | 0.718918i | \(-0.255362\pi\) | ||||
0.695095 | + | 0.718918i | \(0.255362\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | −58.9974 | −3.77692 | ||||||||
\(245\) | 12.5294 | − | 8.46986i | 0.800472 | − | 0.541119i | ||||
\(246\) | −29.9386 | −1.90882 | ||||||||
\(247\) | − | 5.88953i | − | 0.374742i | ||||||
\(248\) | 57.0532i | 3.62288i | ||||||||
\(249\) | −3.17731 | −0.201354 | ||||||||
\(250\) | −29.7911 | + | 6.42807i | −1.88415 | + | 0.406547i | ||||
\(251\) | 0.628046 | 0.0396419 | 0.0198209 | − | 0.999804i | \(-0.493690\pi\) | ||||
0.0198209 | + | 0.999804i | \(0.493690\pi\) | |||||||
\(252\) | − | 2.64109i | − | 0.166373i | ||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 28.9136 | 1.81420 | ||||||||
\(255\) | −6.74836 | + | 4.56189i | −0.422599 | + | 0.285677i | ||||
\(256\) | 39.1461 | 2.44663 | ||||||||
\(257\) | − | 3.40943i | − | 0.212674i | −0.994330 | − | 0.106337i | \(-0.966088\pi\) | ||
0.994330 | − | 0.106337i | \(-0.0339123\pi\) | |||||||
\(258\) | 20.2199i | 1.25884i | ||||||||
\(259\) | 4.17811 | 0.259615 | ||||||||
\(260\) | −24.5530 | − | 36.3209i | −1.52271 | − | 2.25253i | ||||
\(261\) | −1.05606 | −0.0653687 | ||||||||
\(262\) | 44.9891i | 2.77944i | ||||||||
\(263\) | 14.4795i | 0.892843i | 0.894823 | + | 0.446422i | \(0.147302\pi\) | ||||
−0.894823 | + | 0.446422i | \(0.852698\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.86616 | + | 2.76059i | 0.114637 | + | 0.169582i | ||||
\(266\) | 2.16261 | 0.132598 | ||||||||
\(267\) | − | 1.38354i | − | 0.0846711i | ||||||
\(268\) | 2.34883i | 0.143478i | ||||||||
\(269\) | 29.8686 | 1.82112 | 0.910562 | − | 0.413373i | \(-0.135650\pi\) | ||||
0.910562 | + | 0.413373i | \(0.135650\pi\) | |||||||
\(270\) | −5.04977 | + | 3.41365i | −0.307319 | + | 0.207748i | ||||
\(271\) | 1.50128 | 0.0911961 | 0.0455981 | − | 0.998960i | \(-0.485481\pi\) | ||||
0.0455981 | + | 0.998960i | \(0.485481\pi\) | |||||||
\(272\) | 53.2966i | 3.23158i | ||||||||
\(273\) | 1.75582i | 0.106267i | ||||||||
\(274\) | −16.5876 | −1.00210 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 19.2382 | 1.15800 | ||||||||
\(277\) | − | 6.32633i | − | 0.380112i | −0.981773 | − | 0.190056i | \(-0.939133\pi\) | ||
0.981773 | − | 0.190056i | \(-0.0608670\pi\) | |||||||
\(278\) | 47.3007i | 2.83691i | ||||||||
\(279\) | −6.10088 | −0.365250 | ||||||||
\(280\) | 8.42516 | − | 5.69541i | 0.503500 | − | 0.340366i | ||||
\(281\) | −13.1632 | −0.785251 | −0.392626 | − | 0.919698i | \(-0.628433\pi\) | ||||
−0.392626 | + | 0.919698i | \(0.628433\pi\) | |||||||
\(282\) | 14.2101i | 0.846197i | ||||||||
\(283\) | 8.68234i | 0.516112i | 0.966130 | + | 0.258056i | \(0.0830819\pi\) | ||||
−0.966130 | + | 0.258056i | \(0.916918\pi\) | |||||||
\(284\) | −32.6557 | −1.93776 | ||||||||
\(285\) | −2.04286 | − | 3.02198i | −0.121009 | − | 0.179007i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 5.34135i | 0.315290i | ||||||||
\(288\) | 21.1784i | 1.24795i | ||||||||
\(289\) | 3.72976 | 0.219398 | ||||||||
\(290\) | −3.60503 | − | 5.33288i | −0.211695 | − | 0.313157i | ||||
\(291\) | 1.39973 | 0.0820536 | ||||||||
\(292\) | 6.32193i | 0.369963i | ||||||||
\(293\) | − | 19.7389i | − | 1.15316i | −0.817041 | − | 0.576580i | \(-0.804387\pi\) | ||
0.817041 | − | 0.576580i | \(-0.195613\pi\) | |||||||
\(294\) | 18.4367 | 1.07525 | ||||||||
\(295\) | 14.7755 | − | 9.98827i | 0.860265 | − | 0.581540i | ||||
\(296\) | −80.3406 | −4.66970 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 54.2059i | − | 3.14007i | ||||||
\(299\) | −12.7897 | −0.739648 | ||||||||
\(300\) | −25.1968 | − | 10.1201i | −1.45474 | − | 0.584287i | ||||
\(301\) | 3.60744 | 0.207929 | ||||||||
\(302\) | − | 0.173233i | − | 0.00996845i | ||||||
\(303\) | 0.113225i | 0.00650461i | ||||||||
\(304\) | −23.8667 | −1.36885 | ||||||||
\(305\) | 20.1252 | − | 13.6047i | 1.15237 | − | 0.779001i | ||||
\(306\) | −9.93007 | −0.567664 | ||||||||
\(307\) | 12.9484i | 0.739003i | 0.929230 | + | 0.369501i | \(0.120471\pi\) | ||||
−0.929230 | + | 0.369501i | \(0.879529\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 7.24830 | 0.412342 | ||||||||
\(310\) | −20.8263 | − | 30.8081i | −1.18285 | − | 1.74978i | ||||
\(311\) | −28.4988 | −1.61602 | −0.808009 | − | 0.589171i | \(-0.799455\pi\) | ||||
−0.808009 | + | 0.589171i | \(0.799455\pi\) | |||||||
\(312\) | − | 33.7625i | − | 1.91143i | ||||||
\(313\) | 6.79055i | 0.383825i | 0.981412 | + | 0.191912i | \(0.0614689\pi\) | ||||
−0.981412 | + | 0.191912i | \(0.938531\pi\) | |||||||
\(314\) | 2.65674 | 0.149928 | ||||||||
\(315\) | 0.609029 | + | 0.900930i | 0.0343149 | + | 0.0507616i | ||||
\(316\) | 24.0302 | 1.35181 | ||||||||
\(317\) | 30.6235i | 1.71999i | 0.510306 | + | 0.859993i | \(0.329532\pi\) | ||||
−0.510306 | + | 0.859993i | \(0.670468\pi\) | |||||||
\(318\) | 4.06216i | 0.227794i | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −52.7397 | + | 35.6520i | −2.94824 | + | 1.99301i | ||||
\(321\) | 8.65879 | 0.483287 | ||||||||
\(322\) | − | 4.69633i | − | 0.261716i | ||||||
\(323\) | − | 5.94255i | − | 0.330652i | ||||||
\(324\) | −5.43063 | −0.301702 | ||||||||
\(325\) | 16.7510 | + | 6.72796i | 0.929181 | + | 0.373200i | ||||
\(326\) | 48.2850 | 2.67426 | ||||||||
\(327\) | 4.41573i | 0.244191i | ||||||||
\(328\) | − | 102.709i | − | 5.67113i | ||||||
\(329\) | 2.53522 | 0.139771 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −34.9532 | −1.92120 | −0.960601 | − | 0.277932i | \(-0.910351\pi\) | ||||
−0.960601 | + | 0.277932i | \(0.910351\pi\) | |||||||
\(332\) | − | 17.2548i | − | 0.946979i | ||||||
\(333\) | − | 8.59108i | − | 0.470788i | ||||||
\(334\) | 26.6377 | 1.45755 | ||||||||
\(335\) | −0.541635 | − | 0.801235i | −0.0295927 | − | 0.0437761i | ||||
\(336\) | 7.11528 | 0.388170 | ||||||||
\(337\) | 5.81556i | 0.316794i | 0.987376 | + | 0.158397i | \(0.0506325\pi\) | ||||
−0.987376 | + | 0.158397i | \(0.949367\pi\) | |||||||
\(338\) | 0.0941064i | 0.00511872i | ||||||||
\(339\) | 18.3647 | 0.997434 | ||||||||
\(340\) | −24.7740 | − | 36.6479i | −1.34356 | − | 1.98751i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | − | 4.44679i | − | 0.240455i | ||||||
\(343\) | − | 6.69361i | − | 0.361421i | ||||||
\(344\) | −69.3671 | −3.74003 | ||||||||
\(345\) | −6.56254 | + | 4.43628i | −0.353315 | + | 0.238841i | ||||
\(346\) | 22.3026 | 1.19899 | ||||||||
\(347\) | − | 27.6122i | − | 1.48230i | −0.671340 | − | 0.741150i | \(-0.734281\pi\) | ||
0.671340 | − | 0.741150i | \(-0.265719\pi\) | |||||||
\(348\) | − | 5.73509i | − | 0.307433i | ||||||
\(349\) | 12.9167 | 0.691417 | 0.345708 | − | 0.938342i | \(-0.387639\pi\) | ||||
0.345708 | + | 0.938342i | \(0.387639\pi\) | |||||||
\(350\) | −2.47048 | + | 6.15091i | −0.132053 | + | 0.328780i | ||||
\(351\) | 3.61034 | 0.192705 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 10.6615i | 0.567454i | 0.958905 | + | 0.283727i | \(0.0915710\pi\) | ||||
−0.958905 | + | 0.283727i | \(0.908429\pi\) | |||||||
\(354\) | 21.7419 | 1.15557 | ||||||||
\(355\) | 11.1395 | − | 7.53033i | 0.591225 | − | 0.399669i | ||||
\(356\) | 7.51349 | 0.398214 | ||||||||
\(357\) | 1.77162i | 0.0937643i | ||||||||
\(358\) | 1.46098i | 0.0772150i | ||||||||
\(359\) | −12.9369 | −0.682785 | −0.341392 | − | 0.939921i | \(-0.610899\pi\) | ||||
−0.341392 | + | 0.939921i | \(0.610899\pi\) | |||||||
\(360\) | −11.7110 | − | 17.3239i | −0.617223 | − | 0.913051i | ||||
\(361\) | −16.3389 | −0.859940 | ||||||||
\(362\) | 13.8853i | 0.729795i | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −9.53521 | −0.499781 | ||||||||
\(365\) | −1.45782 | − | 2.15654i | −0.0763060 | − | 0.112879i | ||||
\(366\) | 29.6139 | 1.54794 | ||||||||
\(367\) | 36.3258i | 1.89619i | 0.317987 | + | 0.948095i | \(0.396993\pi\) | ||||
−0.317987 | + | 0.948095i | \(0.603007\pi\) | |||||||
\(368\) | 51.8290i | 2.70178i | ||||||||
\(369\) | 10.9830 | 0.571750 | ||||||||
\(370\) | 43.3830 | − | 29.3269i | 2.25537 | − | 1.52463i | ||||
\(371\) | 0.724729 | 0.0376261 | ||||||||
\(372\) | − | 33.1317i | − | 1.71780i | ||||||
\(373\) | − | 18.8902i | − | 0.978099i | −0.872256 | − | 0.489050i | \(-0.837344\pi\) | ||
0.872256 | − | 0.489050i | \(-0.162656\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 10.9288 | − | 2.35813i | 0.564362 | − | 0.121773i | ||||
\(376\) | −48.7495 | −2.51407 | ||||||||
\(377\) | 3.81274i | 0.196366i | ||||||||
\(378\) | 1.32570i | 0.0681866i | ||||||||
\(379\) | −27.2095 | −1.39766 | −0.698830 | − | 0.715288i | \(-0.746296\pi\) | ||||
−0.698830 | + | 0.715288i | \(0.746296\pi\) | |||||||
\(380\) | 16.4113 | − | 11.0940i | 0.841881 | − | 0.569112i | ||||
\(381\) | −10.6069 | −0.543408 | ||||||||
\(382\) | − | 33.1222i | − | 1.69468i | ||||||
\(383\) | − | 10.9174i | − | 0.557854i | −0.960312 | − | 0.278927i | \(-0.910021\pi\) | ||
0.960312 | − | 0.278927i | \(-0.0899788\pi\) | |||||||
\(384\) | −35.2487 | −1.79878 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −25.7635 | −1.31133 | ||||||||
\(387\) | − | 7.41765i | − | 0.377060i | ||||||
\(388\) | 7.60142i | 0.385904i | ||||||||
\(389\) | −13.1738 | −0.667938 | −0.333969 | − | 0.942584i | \(-0.608388\pi\) | ||||
−0.333969 | + | 0.942584i | \(0.608388\pi\) | |||||||
\(390\) | 12.3244 | + | 18.2314i | 0.624071 | + | 0.923181i | ||||
\(391\) | −12.9048 | −0.652626 | ||||||||
\(392\) | 63.2496i | 3.19459i | ||||||||
\(393\) | − | 16.5042i | − | 0.832527i | ||||||
\(394\) | 21.5323 | 1.08478 | ||||||||
\(395\) | −8.19721 | + | 5.54132i | −0.412446 | + | 0.278814i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 35.1144i | 1.76234i | 0.472800 | + | 0.881170i | \(0.343243\pi\) | ||||
−0.472800 | + | 0.881170i | \(0.656757\pi\) | |||||||
\(398\) | 7.09977i | 0.355879i | ||||||||
\(399\) | −0.793351 | −0.0397172 | ||||||||
\(400\) | 27.2644 | − | 67.8819i | 1.36322 | − | 3.39410i | ||||
\(401\) | 18.5113 | 0.924410 | 0.462205 | − | 0.886773i | \(-0.347058\pi\) | ||||
0.462205 | + | 0.886773i | \(0.347058\pi\) | |||||||
\(402\) | − | 1.17900i | − | 0.0588032i | ||||||
\(403\) | 22.0262i | 1.09721i | ||||||||
\(404\) | −0.614884 | −0.0305916 | ||||||||
\(405\) | 1.85250 | − | 1.25229i | 0.0920516 | − | 0.0622269i | ||||
\(406\) | −1.40002 | −0.0694820 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | − | 34.0664i | − | 1.68654i | ||||||
\(409\) | 10.9713 | 0.542497 | 0.271249 | − | 0.962509i | \(-0.412563\pi\) | ||||
0.271249 | + | 0.962509i | \(0.412563\pi\) | |||||||
\(410\) | 37.4919 | + | 55.4614i | 1.85159 | + | 2.73904i | ||||
\(411\) | 6.08516 | 0.300159 | ||||||||
\(412\) | 39.3629i | 1.93927i | ||||||||
\(413\) | − | 3.87897i | − | 0.190872i | ||||||
\(414\) | −9.65665 | −0.474598 | ||||||||
\(415\) | 3.97891 | + | 5.88596i | 0.195317 | + | 0.288931i | ||||
\(416\) | 76.4610 | 3.74881 | ||||||||
\(417\) | − | 17.3522i | − | 0.849741i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 22.8017 | 1.11394 | 0.556969 | − | 0.830533i | \(-0.311964\pi\) | ||||
0.556969 | + | 0.830533i | \(0.311964\pi\) | |||||||
\(420\) | −4.89262 | + | 3.30741i | −0.238735 | + | 0.161385i | ||||
\(421\) | 9.62286 | 0.468989 | 0.234495 | − | 0.972117i | \(-0.424656\pi\) | ||||
0.234495 | + | 0.972117i | \(0.424656\pi\) | |||||||
\(422\) | − | 28.1953i | − | 1.37253i | ||||||
\(423\) | − | 5.21295i | − | 0.253462i | ||||||
\(424\) | −13.9358 | −0.676781 | ||||||||
\(425\) | 16.9018 | + | 6.78852i | 0.819859 | + | 0.329292i | ||||
\(426\) | 16.3916 | 0.794176 | ||||||||
\(427\) | − | 5.28341i | − | 0.255682i | ||||||
\(428\) | 47.0227i | 2.27293i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 37.4574 | − | 25.3212i | 1.80636 | − | 1.22110i | ||||
\(431\) | 3.56888 | 0.171907 | 0.0859535 | − | 0.996299i | \(-0.472606\pi\) | ||||
0.0859535 | + | 0.996299i | \(0.472606\pi\) | |||||||
\(432\) | − | 14.6305i | − | 0.703911i | ||||||
\(433\) | − | 5.87835i | − | 0.282496i | −0.989974 | − | 0.141248i | \(-0.954889\pi\) | ||
0.989974 | − | 0.141248i | \(-0.0451114\pi\) | |||||||
\(434\) | −8.08794 | −0.388234 | ||||||||
\(435\) | 1.32250 | + | 1.95636i | 0.0634090 | + | 0.0938003i | ||||
\(436\) | −23.9802 | −1.14844 | ||||||||
\(437\) | − | 5.77892i | − | 0.276443i | ||||||
\(438\) | − | 3.17331i | − | 0.151627i | ||||||
\(439\) | 2.88592 | 0.137737 | 0.0688686 | − | 0.997626i | \(-0.478061\pi\) | ||||
0.0688686 | + | 0.997626i | \(0.478061\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6.76348 | −0.322071 | ||||||||
\(442\) | 35.8509i | 1.70525i | ||||||||
\(443\) | − | 27.9155i | − | 1.32631i | −0.748484 | − | 0.663153i | \(-0.769218\pi\) | ||
0.748484 | − | 0.663153i | \(-0.230782\pi\) | |||||||
\(444\) | 46.6550 | 2.21415 | ||||||||
\(445\) | −2.56301 | + | 1.73259i | −0.121498 | + | 0.0821328i | ||||
\(446\) | 39.2206 | 1.85715 | ||||||||
\(447\) | 19.8854i | 0.940546i | ||||||||
\(448\) | 13.8456i | 0.654142i | ||||||||
\(449\) | −19.0508 | −0.899065 | −0.449532 | − | 0.893264i | \(-0.648409\pi\) | ||||
−0.449532 | + | 0.893264i | \(0.648409\pi\) | |||||||
\(450\) | 12.6476 | + | 5.07983i | 0.596213 | + | 0.239465i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 99.7320i | 4.69100i | ||||||||
\(453\) | 0.0635504i | 0.00298586i | ||||||||
\(454\) | −3.88290 | −0.182234 | ||||||||
\(455\) | 3.25266 | − | 2.19880i | 0.152487 | − | 0.103081i | ||||
\(456\) | 15.2553 | 0.714395 | ||||||||
\(457\) | − | 21.2244i | − | 0.992834i | −0.868084 | − | 0.496417i | \(-0.834649\pi\) | ||
0.868084 | − | 0.496417i | \(-0.165351\pi\) | |||||||
\(458\) | − | 13.7909i | − | 0.644407i | ||||||
\(459\) | 3.64283 | 0.170033 | ||||||||
\(460\) | −24.0918 | − | 35.6388i | −1.12329 | − | 1.66167i | ||||
\(461\) | −20.7585 | −0.966818 | −0.483409 | − | 0.875395i | \(-0.660602\pi\) | ||||
−0.483409 | + | 0.875395i | \(0.660602\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.4393i | 0.624575i | 0.949988 | + | 0.312288i | \(0.101095\pi\) | ||||
−0.949988 | + | 0.312288i | \(0.898905\pi\) | |||||||
\(464\) | 15.4508 | 0.717283 | ||||||||
\(465\) | 7.64009 | + | 11.3019i | 0.354301 | + | 0.524113i | ||||
\(466\) | 56.9986 | 2.64041 | ||||||||
\(467\) | − | 34.9512i | − | 1.61735i | −0.588257 | − | 0.808674i | \(-0.700186\pi\) | ||
0.588257 | − | 0.808674i | \(-0.299814\pi\) | |||||||
\(468\) | 19.6064i | 0.906307i | ||||||||
\(469\) | −0.210346 | −0.00971286 | ||||||||
\(470\) | 26.3242 | − | 17.7952i | 1.21424 | − | 0.820829i | ||||
\(471\) | −0.974621 | −0.0449082 | ||||||||
\(472\) | 74.5885i | 3.43322i | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −12.0620 | −0.554027 | ||||||||
\(475\) | −3.03997 | + | 7.56881i | −0.139483 | + | 0.347281i | ||||
\(476\) | −9.62104 | −0.440980 | ||||||||
\(477\) | − | 1.49020i | − | 0.0682314i | ||||||
\(478\) | 50.5355i | 2.31144i | ||||||||
\(479\) | −19.9477 | −0.911434 | −0.455717 | − | 0.890125i | \(-0.650617\pi\) | ||||
−0.455717 | + | 0.890125i | \(0.650617\pi\) | |||||||
\(480\) | 39.2329 | − | 26.5215i | 1.79073 | − | 1.21053i | ||||
\(481\) | −31.0167 | −1.41424 | ||||||||
\(482\) | − | 58.8296i | − | 2.67961i | ||||||
\(483\) | 1.72284i | 0.0783921i | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.75287 | − | 2.59300i | −0.0795938 | − | 0.117742i | ||||
\(486\) | 2.72592 | 0.123650 | ||||||||
\(487\) | − | 6.76135i | − | 0.306386i | −0.988196 | − | 0.153193i | \(-0.951044\pi\) | ||
0.988196 | − | 0.153193i | \(-0.0489556\pi\) | |||||||
\(488\) | 101.594i | 4.59896i | ||||||||
\(489\) | −17.7133 | −0.801022 | ||||||||
\(490\) | −23.0881 | − | 34.1540i | −1.04302 | − | 1.54292i | ||||
\(491\) | 3.36903 | 0.152042 | 0.0760210 | − | 0.997106i | \(-0.475778\pi\) | ||||
0.0760210 | + | 0.997106i | \(0.475778\pi\) | |||||||
\(492\) | 59.6444i | 2.68898i | ||||||||
\(493\) | 3.84706i | 0.173263i | ||||||||
\(494\) | −16.0544 | −0.722321 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 89.2591 | 4.00785 | ||||||||
\(497\) | − | 2.92443i | − | 0.131178i | ||||||
\(498\) | 8.66108i | 0.388112i | ||||||||
\(499\) | −17.5815 | −0.787057 | −0.393528 | − | 0.919312i | \(-0.628746\pi\) | ||||
−0.393528 | + | 0.919312i | \(0.628746\pi\) | |||||||
\(500\) | 12.8061 | + | 59.3505i | 0.572708 | + | 2.65423i | ||||
\(501\) | −9.77201 | −0.436581 | ||||||||
\(502\) | − | 1.71200i | − | 0.0764104i | ||||||
\(503\) | − | 33.1092i | − | 1.47626i | −0.674656 | − | 0.738132i | \(-0.735708\pi\) | ||
0.674656 | − | 0.738132i | \(-0.264292\pi\) | |||||||
\(504\) | −4.54799 | −0.202584 | ||||||||
\(505\) | 0.209750 | − | 0.141791i | 0.00933373 | − | 0.00630961i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | − | 0.0345228i | − | 0.00153321i | ||||||
\(508\) | − | 57.6022i | − | 2.55569i | ||||||
\(509\) | 29.7124 | 1.31698 | 0.658489 | − | 0.752590i | \(-0.271196\pi\) | ||||
0.658489 | + | 0.752590i | \(0.271196\pi\) | |||||||
\(510\) | 12.4353 | + | 18.3955i | 0.550647 | + | 0.814565i | ||||
\(511\) | −0.566150 | −0.0250450 | ||||||||
\(512\) | − | 36.2118i | − | 1.60035i | ||||||
\(513\) | 1.63130i | 0.0720235i | ||||||||
\(514\) | −9.29382 | −0.409933 | ||||||||
\(515\) | −9.07699 | − | 13.4275i | −0.399980 | − | 0.591686i | ||||
\(516\) | 40.2826 | 1.77334 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | − | 11.3892i | − | 0.500412i | ||||||
\(519\) | −8.18166 | −0.359135 | ||||||||
\(520\) | −62.5452 | + | 42.2806i | −2.74279 | + | 1.85412i | ||||
\(521\) | 33.3727 | 1.46209 | 0.731043 | − | 0.682331i | \(-0.239034\pi\) | ||||
0.731043 | + | 0.682331i | \(0.239034\pi\) | |||||||
\(522\) | 2.87874i | 0.125999i | ||||||||
\(523\) | − | 1.69075i | − | 0.0739313i | −0.999317 | − | 0.0369657i | \(-0.988231\pi\) | ||
0.999317 | − | 0.0369657i | \(-0.0117692\pi\) | |||||||
\(524\) | 89.6283 | 3.91543 | ||||||||
\(525\) | 0.906292 | − | 2.25645i | 0.0395538 | − | 0.0984798i | ||||
\(526\) | 39.4699 | 1.72097 | ||||||||
\(527\) | 22.2245i | 0.968115i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.4505 | 0.454369 | ||||||||
\(530\) | 7.52515 | − | 5.08701i | 0.326872 | − | 0.220965i | ||||
\(531\) | −7.97599 | −0.346129 | ||||||||
\(532\) | − | 4.30840i | − | 0.186793i | ||||||
\(533\) | − | 39.6521i | − | 1.71752i | ||||||
\(534\) | −3.77141 | −0.163205 | ||||||||
\(535\) | −10.8433 | − | 16.0404i | −0.468799 | − | 0.693489i | ||||
\(536\) | 4.04472 | 0.174705 | ||||||||
\(537\) | − | 0.535958i | − | 0.0231283i | ||||||
\(538\) | − | 81.4195i | − | 3.51024i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 6.80074 | + | 10.0603i | 0.292657 | + | 0.432925i | ||||
\(541\) | 44.3013 | 1.90466 | 0.952330 | − | 0.305070i | \(-0.0986799\pi\) | ||||
0.952330 | + | 0.305070i | \(0.0986799\pi\) | |||||||
\(542\) | − | 4.09236i | − | 0.175782i | ||||||
\(543\) | − | 5.09381i | − | 0.218596i | ||||||
\(544\) | 77.1492 | 3.30775 | ||||||||
\(545\) | 8.18016 | − | 5.52979i | 0.350399 | − | 0.236870i | ||||
\(546\) | 4.78622 | 0.204831 | ||||||||
\(547\) | 37.4177i | 1.59987i | 0.600089 | + | 0.799933i | \(0.295132\pi\) | ||||
−0.600089 | + | 0.799933i | \(0.704868\pi\) | |||||||
\(548\) | 33.0463i | 1.41167i | ||||||||
\(549\) | −10.8638 | −0.463656 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.72275 | −0.0733918 | ||||||||
\(552\) | − | 33.1284i | − | 1.41004i | ||||||
\(553\) | 2.15199i | 0.0915118i | ||||||||
\(554\) | −17.2451 | −0.732673 | ||||||||
\(555\) | −15.9150 | + | 10.7585i | −0.675554 | + | 0.456675i | ||||
\(556\) | 94.2335 | 3.99639 | ||||||||
\(557\) | 6.04930i | 0.256317i | 0.991754 | + | 0.128159i | \(0.0409067\pi\) | ||||
−0.991754 | + | 0.128159i | \(0.959093\pi\) | |||||||
\(558\) | 16.6305i | 0.704026i | ||||||||
\(559\) | −26.7802 | −1.13268 | ||||||||
\(560\) | −8.91041 | − | 13.1811i | −0.376534 | − | 0.557002i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 35.8818i | 1.51358i | ||||||||
\(563\) | − | 10.6819i | − | 0.450188i | −0.974337 | − | 0.225094i | \(-0.927731\pi\) | ||
0.974337 | − | 0.225094i | \(-0.0722689\pi\) | |||||||
\(564\) | 28.3096 | 1.19205 | ||||||||
\(565\) | −22.9980 | − | 34.0207i | −0.967533 | − | 1.43126i | ||||
\(566\) | 23.6674 | 0.994814 | ||||||||
\(567\) | − | 0.486331i | − | 0.0204240i | ||||||
\(568\) | 56.2336i | 2.35951i | ||||||||
\(569\) | 26.8071 | 1.12381 | 0.561906 | − | 0.827201i | \(-0.310068\pi\) | ||||
0.561906 | + | 0.827201i | \(0.310068\pi\) | |||||||
\(570\) | −8.23768 | + | 5.56867i | −0.345038 | + | 0.233246i | ||||
\(571\) | −9.73293 | −0.407310 | −0.203655 | − | 0.979043i | \(-0.565282\pi\) | ||||
−0.203655 | + | 0.979043i | \(0.565282\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 12.1508i | 0.507608i | ||||||||
\(574\) | 14.5601 | 0.607727 | ||||||||
\(575\) | 16.4364 | + | 6.60160i | 0.685447 | + | 0.275306i | ||||
\(576\) | 28.4694 | 1.18623 | ||||||||
\(577\) | 1.27249i | 0.0529746i | 0.999649 | + | 0.0264873i | \(0.00843216\pi\) | ||||
−0.999649 | + | 0.0264873i | \(0.991568\pi\) | |||||||
\(578\) | − | 10.1670i | − | 0.422893i | ||||||
\(579\) | 9.45132 | 0.392784 | ||||||||
\(580\) | −10.6243 | + | 7.18201i | −0.441149 | + | 0.298217i | ||||
\(581\) | 1.54522 | 0.0641066 | ||||||||
\(582\) | − | 3.81555i | − | 0.158160i | ||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 10.8865 | 0.450485 | ||||||||
\(585\) | −4.52120 | − | 6.68815i | −0.186928 | − | 0.276521i | ||||
\(586\) | −53.8067 | −2.22273 | ||||||||
\(587\) | 15.0272i | 0.620238i | 0.950698 | + | 0.310119i | \(0.100369\pi\) | ||||
−0.950698 | + | 0.310119i | \(0.899631\pi\) | |||||||
\(588\) | − | 36.7300i | − | 1.51472i | ||||||
\(589\) | −9.95236 | −0.410080 | ||||||||
\(590\) | −27.2272 | − | 40.2769i | −1.12093 | − | 1.65817i | ||||
\(591\) | −7.89908 | −0.324925 | ||||||||
\(592\) | 125.692i | 5.16591i | ||||||||
\(593\) | − | 11.4115i | − | 0.468615i | −0.972163 | − | 0.234307i | \(-0.924718\pi\) | ||
0.972163 | − | 0.234307i | \(-0.0752822\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.28194 | − | 2.21859i | 0.134546 | − | 0.0909534i | ||||
\(596\) | −107.990 | −4.42345 | ||||||||
\(597\) | − | 2.60454i | − | 0.106597i | ||||||
\(598\) | 34.8637i | 1.42568i | ||||||||
\(599\) | 13.3076 | 0.543734 | 0.271867 | − | 0.962335i | \(-0.412359\pi\) | ||||
0.271867 | + | 0.962335i | \(0.412359\pi\) | |||||||
\(600\) | −17.4270 | + | 43.3892i | −0.711455 | + | 1.77136i | ||||
\(601\) | 35.6473 | 1.45409 | 0.727043 | − | 0.686592i | \(-0.240894\pi\) | ||||
0.727043 | + | 0.686592i | \(0.240894\pi\) | |||||||
\(602\) | − | 9.83358i | − | 0.400787i | ||||||
\(603\) | 0.432515i | 0.0176134i | ||||||||
\(604\) | −0.345119 | −0.0140427 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0.308642 | 0.0125377 | ||||||||
\(607\) | − | 30.0322i | − | 1.21897i | −0.792798 | − | 0.609485i | \(-0.791376\pi\) | ||
0.792798 | − | 0.609485i | \(-0.208624\pi\) | |||||||
\(608\) | 34.5482i | 1.40111i | ||||||||
\(609\) | 0.513597 | 0.0208120 | ||||||||
\(610\) | −37.0852 | − | 54.8597i | −1.50154 | − | 2.22121i | ||||
\(611\) | −18.8205 | −0.761395 | ||||||||
\(612\) | 19.7829i | 0.799676i | ||||||||
\(613\) | 40.7593i | 1.64625i | 0.567859 | + | 0.823126i | \(0.307772\pi\) | ||||
−0.567859 | + | 0.823126i | \(0.692228\pi\) | |||||||
\(614\) | 35.2962 | 1.42444 | ||||||||
\(615\) | −13.7539 | − | 20.3459i | −0.554609 | − | 0.820428i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 38.2194i | − | 1.53865i | −0.638855 | − | 0.769327i | \(-0.720592\pi\) | ||
0.638855 | − | 0.769327i | \(-0.279408\pi\) | |||||||
\(618\) | − | 19.7583i | − | 0.794795i | ||||||
\(619\) | 13.2105 | 0.530976 | 0.265488 | − | 0.964114i | \(-0.414467\pi\) | ||||
0.265488 | + | 0.964114i | \(0.414467\pi\) | |||||||
\(620\) | −61.3765 | + | 41.4905i | −2.46494 | + | 1.66630i | ||||
\(621\) | 3.54253 | 0.142157 | ||||||||
\(622\) | 77.6853i | 3.11490i | ||||||||
\(623\) | 0.672858i | 0.0269575i | ||||||||
\(624\) | −52.8211 | −2.11454 | ||||||||
\(625\) | −18.0545 | − | 17.2926i | −0.722181 | − | 0.691704i | ||||
\(626\) | 18.5105 | 0.739828 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 5.29281i | − | 0.211206i | ||||||
\(629\) | −31.2959 | −1.24785 | ||||||||
\(630\) | 2.45586 | − | 1.66016i | 0.0978439 | − | 0.0661425i | ||||
\(631\) | −41.5894 | −1.65565 | −0.827824 | − | 0.560987i | \(-0.810422\pi\) | ||||
−0.827824 | + | 0.560987i | \(0.810422\pi\) | |||||||
\(632\) | − | 41.3804i | − | 1.64602i | ||||||
\(633\) | 10.3434i | 0.411114i | ||||||||
\(634\) | 83.4771 | 3.31530 | ||||||||
\(635\) | 13.2830 | + | 19.6493i | 0.527118 | + | 0.779760i | ||||
\(636\) | 8.09271 | 0.320897 | ||||||||
\(637\) | 24.4184i | 0.967494i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −6.01324 | −0.237880 | ||||||||
\(640\) | 44.1416 | + | 65.2982i | 1.74485 | + | 2.58114i | ||||
\(641\) | −34.2525 | −1.35289 | −0.676447 | − | 0.736491i | \(-0.736481\pi\) | ||||
−0.676447 | + | 0.736491i | \(0.736481\pi\) | |||||||
\(642\) | − | 23.6032i | − | 0.931543i | ||||||
\(643\) | 39.3183i | 1.55056i | 0.631616 | + | 0.775281i | \(0.282392\pi\) | ||||
−0.631616 | + | 0.775281i | \(0.717608\pi\) | |||||||
\(644\) | −9.35613 | −0.368683 | ||||||||
\(645\) | −13.7412 | + | 9.28907i | −0.541060 | + | 0.365757i | ||||
\(646\) | −16.1989 | −0.637337 | ||||||||
\(647\) | − | 14.6461i | − | 0.575796i | −0.957661 | − | 0.287898i | \(-0.907044\pi\) | ||
0.957661 | − | 0.287898i | \(-0.0929564\pi\) | |||||||
\(648\) | 9.35163i | 0.367367i | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | 18.3399 | − | 45.6620i | 0.719349 | − | 1.79101i | ||||
\(651\) | 2.96705 | 0.116288 | ||||||||
\(652\) | − | 96.1943i | − | 3.76726i | ||||||
\(653\) | − | 35.4313i | − | 1.38653i | −0.720682 | − | 0.693266i | \(-0.756171\pi\) | ||
0.720682 | − | 0.693266i | \(-0.243829\pi\) | |||||||
\(654\) | 12.0369 | 0.470681 | ||||||||
\(655\) | −30.5741 | + | 20.6681i | −1.19463 | + | 0.807569i | ||||
\(656\) | −160.686 | −6.27375 | ||||||||
\(657\) | 1.16412i | 0.0454168i | ||||||||
\(658\) | − | 6.91080i | − | 0.269411i | ||||||
\(659\) | −39.2826 | −1.53023 | −0.765116 | − | 0.643893i | \(-0.777318\pi\) | ||||
−0.765116 | + | 0.643893i | \(0.777318\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −29.7431 | −1.15687 | −0.578436 | − | 0.815728i | \(-0.696337\pi\) | ||||
−0.578436 | + | 0.815728i | \(0.696337\pi\) | |||||||
\(662\) | 95.2796i | 3.70315i | ||||||||
\(663\) | − | 13.1519i | − | 0.510776i | ||||||
\(664\) | −29.7130 | −1.15309 | ||||||||
\(665\) | 0.993507 | + | 1.46968i | 0.0385266 | + | 0.0569919i | ||||
\(666\) | −23.4186 | −0.907452 | ||||||||
\(667\) | 3.74114i | 0.144857i | ||||||||
\(668\) | − | 53.0682i | − | 2.05327i | ||||||
\(669\) | −14.3880 | −0.556274 | ||||||||
\(670\) | −2.18410 | + | 1.47645i | −0.0843792 | + | 0.0570404i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | − | 10.2997i | − | 0.397319i | ||||||
\(673\) | 44.6403i | 1.72076i | 0.509655 | + | 0.860379i | \(0.329773\pi\) | ||||
−0.509655 | + | 0.860379i | \(0.670227\pi\) | |||||||
\(674\) | 15.8527 | 0.610625 | ||||||||
\(675\) | −4.63975 | − | 1.86353i | −0.178584 | − | 0.0717272i | ||||
\(676\) | 0.187481 | 0.00721080 | ||||||||
\(677\) | − | 25.8595i | − | 0.993860i | −0.867791 | − | 0.496930i | \(-0.834461\pi\) | ||
0.867791 | − | 0.496930i | \(-0.165539\pi\) | |||||||
\(678\) | − | 50.0607i | − | 1.92257i | ||||||
\(679\) | −0.680732 | −0.0261241 | ||||||||
\(680\) | −63.1081 | + | 42.6611i | −2.42009 | + | 1.63598i | ||||
\(681\) | 1.42444 | 0.0545846 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 36.8419i | − | 1.40972i | −0.709348 | − | 0.704858i | \(-0.751011\pi\) | ||
0.709348 | − | 0.704858i | \(-0.248989\pi\) | |||||||
\(684\) | −8.85898 | −0.338732 | ||||||||
\(685\) | −7.62040 | − | 11.2728i | −0.291160 | − | 0.430710i | ||||
\(686\) | −18.2462 | −0.696645 | ||||||||
\(687\) | 5.05918i | 0.193020i | ||||||||
\(688\) | 108.524i | 4.13744i | ||||||||
\(689\) | −5.38011 | −0.204966 | ||||||||
\(690\) | 12.0929 | + | 17.8890i | 0.460371 | + | 0.681021i | ||||
\(691\) | −39.6288 | −1.50755 | −0.753775 | − | 0.657133i | \(-0.771769\pi\) | ||||
−0.753775 | + | 0.657133i | \(0.771769\pi\) | |||||||
\(692\) | − | 44.4316i | − | 1.68904i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −75.2686 | −2.85716 | ||||||||
\(695\) | −32.1450 | + | 21.7300i | −1.21933 | + | 0.824267i | ||||
\(696\) | −9.87592 | −0.374346 | ||||||||
\(697\) | − | 40.0091i | − | 1.51545i | ||||||
\(698\) | − | 35.2100i | − | 1.33272i | ||||||
\(699\) | −20.9099 | −0.790884 | ||||||||
\(700\) | 12.2540 | + | 4.92174i | 0.463157 | + | 0.186024i | ||||
\(701\) | −21.7728 | −0.822347 | −0.411174 | − | 0.911557i | \(-0.634881\pi\) | ||||
−0.411174 | + | 0.911557i | \(0.634881\pi\) | |||||||
\(702\) | − | 9.84148i | − | 0.371443i | ||||||
\(703\) | − | 14.0146i | − | 0.528571i | ||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −9.65699 | + | 6.52813i | −0.363703 | + | 0.245864i | ||||
\(706\) | 29.0624 | 1.09378 | ||||||||
\(707\) | − | 0.0550649i | − | 0.00207093i | ||||||
\(708\) | − | 43.3147i | − | 1.62787i | ||||||
\(709\) | 37.4566 | 1.40671 | 0.703356 | − | 0.710838i | \(-0.251684\pi\) | ||||
0.703356 | + | 0.710838i | \(0.251684\pi\) | |||||||
\(710\) | −20.5271 | − | 30.3655i | −0.770367 | − | 1.13960i | ||||
\(711\) | 4.42494 | 0.165948 | ||||||||
\(712\) | − | 12.9383i | − | 0.484885i | ||||||
\(713\) | 21.6126i | 0.809397i | ||||||||
\(714\) | 4.82930 | 0.180732 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 2.91059 | 0.108774 | ||||||||
\(717\) | − | 18.5389i | − | 0.692347i | ||||||
\(718\) | 35.2650i | 1.31608i | ||||||||
\(719\) | −13.0332 | −0.486057 | −0.243029 | − | 0.970019i | \(-0.578141\pi\) | ||||
−0.243029 | + | 0.970019i | \(0.578141\pi\) | |||||||
\(720\) | −27.1031 | + | 18.3217i | −1.01007 | + | 0.682809i | ||||
\(721\) | −3.52508 | −0.131281 | ||||||||
\(722\) | 44.5384i | 1.65755i | ||||||||
\(723\) | 21.5816i | 0.802627i | ||||||||
\(724\) | 27.6626 | 1.02807 | ||||||||
\(725\) | 1.96800 | − | 4.89987i | 0.0730898 | − | 0.181977i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 50.8515i | − | 1.88598i | −0.332824 | − | 0.942989i | \(-0.608002\pi\) | ||
0.332824 | − | 0.942989i | \(-0.391998\pi\) | |||||||
\(728\) | 16.4198i | 0.608557i | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −5.87856 | + | 3.97391i | −0.217575 | + | 0.147081i | ||||
\(731\) | −27.0213 | −0.999418 | ||||||||
\(732\) | − | 58.9974i | − | 2.18061i | ||||||
\(733\) | 14.7956i | 0.546488i | 0.961945 | + | 0.273244i | \(0.0880966\pi\) | ||||
−0.961945 | + | 0.273244i | \(0.911903\pi\) | |||||||
\(734\) | 99.0211 | 3.65494 | ||||||||
\(735\) | 8.46986 | + | 12.5294i | 0.312415 | + | 0.462153i | ||||
\(736\) | 75.0249 | 2.76546 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | − | 29.9386i | − | 1.10206i | ||||||
\(739\) | −3.10843 | −0.114345 | −0.0571727 | − | 0.998364i | \(-0.518209\pi\) | ||||
−0.0571727 | + | 0.998364i | \(0.518209\pi\) | |||||||
\(740\) | −58.4257 | − | 86.4285i | −2.14777 | − | 3.17718i | ||||
\(741\) | 5.88953 | 0.216357 | ||||||||
\(742\) | − | 1.97555i | − | 0.0725249i | ||||||
\(743\) | 5.87175i | 0.215414i | 0.994183 | + | 0.107707i | \(0.0343508\pi\) | ||||
−0.994183 | + | 0.107707i | \(0.965649\pi\) | |||||||
\(744\) | −57.0532 | −2.09167 | ||||||||
\(745\) | 36.8377 | − | 24.9023i | 1.34963 | − | 0.912350i | ||||
\(746\) | −51.4932 | −1.88530 | ||||||||
\(747\) | − | 3.17731i | − | 0.116252i | ||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −4.21104 | −0.153868 | ||||||||
\(750\) | −6.42807 | − | 29.7911i | −0.234720 | − | 1.08782i | ||||
\(751\) | 17.5613 | 0.640821 | 0.320411 | − | 0.947279i | \(-0.396179\pi\) | ||||
0.320411 | + | 0.947279i | \(0.396179\pi\) | |||||||
\(752\) | 76.2681i | 2.78121i | ||||||||
\(753\) | 0.628046i | 0.0228873i | ||||||||
\(754\) | 10.3932 | 0.378499 | ||||||||
\(755\) | 0.117727 | − | 0.0795836i | 0.00428453 | − | 0.00289635i | ||||
\(756\) | 2.64109 | 0.0960554 | ||||||||
\(757\) | − | 11.9599i | − | 0.434689i | −0.976095 | − | 0.217344i | \(-0.930261\pi\) | ||
0.976095 | − | 0.217344i | \(-0.0697395\pi\) | |||||||
\(758\) | 74.1710i | 2.69401i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −19.1041 | − | 28.2605i | −0.692978 | − | 1.02511i | ||||
\(761\) | 15.8337 | 0.573970 | 0.286985 | − | 0.957935i | \(-0.407347\pi\) | ||||
0.286985 | + | 0.957935i | \(0.407347\pi\) | |||||||
\(762\) | 28.9136i | 1.04743i | ||||||||
\(763\) | − | 2.14751i | − | 0.0777451i | ||||||
\(764\) | −65.9867 | −2.38732 | ||||||||
\(765\) | −4.56189 | − | 6.74836i | −0.164936 | − | 0.243987i | ||||
\(766\) | −29.7600 | −1.07527 | ||||||||
\(767\) | 28.7960i | 1.03976i | ||||||||
\(768\) | 39.1461i | 1.41256i | ||||||||
\(769\) | 36.6876 | 1.32299 | 0.661494 | − | 0.749950i | \(-0.269923\pi\) | ||||
0.661494 | + | 0.749950i | \(0.269923\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.40943 | 0.122787 | ||||||||
\(772\) | 51.3267i | 1.84729i | ||||||||
\(773\) | 1.66936i | 0.0600427i | 0.999549 | + | 0.0300214i | \(0.00955753\pi\) | ||||
−0.999549 | + | 0.0300214i | \(0.990442\pi\) | |||||||
\(774\) | −20.2199 | −0.726790 | ||||||||
\(775\) | 11.3692 | − | 28.3066i | 0.408393 | − | 1.01680i | ||||
\(776\) | 13.0898 | 0.469895 | ||||||||
\(777\) | 4.17811i | 0.149889i | ||||||||
\(778\) | 35.9107i | 1.28746i | ||||||||
\(779\) | 17.9165 | 0.641924 | ||||||||
\(780\) | 36.3209 | − | 24.5530i | 1.30050 | − | 0.879137i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 35.1776i | 1.25795i | ||||||||
\(783\) | − | 1.05606i | − | 0.0377406i | ||||||
\(784\) | 98.9533 | 3.53405 | ||||||||
\(785\) | 1.22051 | + | 1.80549i | 0.0435619 | + | 0.0644406i | ||||
\(786\) | −44.9891 | −1.60471 | ||||||||
\(787\) | 34.7442i | 1.23850i | 0.785195 | + | 0.619249i | \(0.212563\pi\) | ||||
−0.785195 | + | 0.619249i | \(0.787437\pi\) | |||||||
\(788\) | − | 42.8970i | − | 1.52814i | ||||||
\(789\) | −14.4795 | −0.515483 | ||||||||
\(790\) | 15.1052 | + | 22.3449i | 0.537418 | + | 0.794997i | ||||
\(791\) | −8.93133 | −0.317562 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 39.2220i | 1.39281i | ||||||||
\(794\) | 95.7189 | 3.39694 | ||||||||
\(795\) | −2.76059 | + | 1.86616i | −0.0979081 | + | 0.0661859i | ||||
\(796\) | 14.1443 | 0.501332 | ||||||||
\(797\) | − | 30.3361i | − | 1.07456i | −0.843404 | − | 0.537280i | \(-0.819452\pi\) | ||
0.843404 | − | 0.537280i | \(-0.180548\pi\) | |||||||
\(798\) | 2.16261i | 0.0765556i | ||||||||
\(799\) | −18.9899 | −0.671814 | ||||||||
\(800\) | −98.2622 | − | 39.4665i | −3.47409 | − | 1.39535i | ||||
\(801\) | 1.38354 | 0.0488849 | ||||||||
\(802\) | − | 50.4603i | − | 1.78181i | ||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | −2.34883 | −0.0828369 | ||||||||
\(805\) | 3.19157 | − | 2.15750i | 0.112488 | − | 0.0760420i | ||||
\(806\) | 60.0417 | 2.11488 | ||||||||
\(807\) | 29.8686i | 1.05143i | ||||||||
\(808\) | 1.05884i | 0.0372498i | ||||||||
\(809\) | −5.49659 | −0.193250 | −0.0966250 | − | 0.995321i | \(-0.530805\pi\) | ||||
−0.0966250 | + | 0.995321i | \(0.530805\pi\) | |||||||
\(810\) | −3.41365 | − | 5.04977i | −0.119943 | − | 0.177431i | ||||
\(811\) | −16.4998 | −0.579385 | −0.289692 | − | 0.957120i | \(-0.593553\pi\) | ||||
−0.289692 | + | 0.957120i | \(0.593553\pi\) | |||||||
\(812\) | 2.78916i | 0.0978802i | ||||||||
\(813\) | 1.50128i | 0.0526521i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 22.1822 | + | 32.8139i | 0.777009 | + | 1.14942i | ||||
\(816\) | −53.2966 | −1.86575 | ||||||||
\(817\) | − | 12.1004i | − | 0.423339i | ||||||
\(818\) | − | 29.9069i | − | 1.04567i | ||||||
\(819\) | −1.75582 | −0.0613533 | ||||||||
\(820\) | 110.491 | − | 74.6922i | 3.85853 | − | 2.60837i | ||||
\(821\) | 47.4838 | 1.65720 | 0.828598 | − | 0.559844i | \(-0.189139\pi\) | ||||
0.828598 | + | 0.559844i | \(0.189139\pi\) | |||||||
\(822\) | − | 16.5876i | − | 0.578561i | ||||||
\(823\) | − | 27.5803i | − | 0.961389i | −0.876888 | − | 0.480695i | \(-0.840385\pi\) | ||
0.876888 | − | 0.480695i | \(-0.159615\pi\) | |||||||
\(824\) | 67.7835 | 2.36135 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −10.5738 | −0.367908 | ||||||||
\(827\) | − | 28.8948i | − | 1.00477i | −0.864644 | − | 0.502385i | \(-0.832456\pi\) | ||
0.864644 | − | 0.502385i | \(-0.167544\pi\) | |||||||
\(828\) | 19.2382i | 0.668573i | ||||||||
\(829\) | 3.29357 | 0.114390 | 0.0571951 | − | 0.998363i | \(-0.481784\pi\) | ||||
0.0571951 | + | 0.998363i | \(0.481784\pi\) | |||||||
\(830\) | 16.0447 | − | 10.8462i | 0.556918 | − | 0.376477i | ||||
\(831\) | 6.32633 | 0.219458 | ||||||||
\(832\) | − | 102.784i | − | 3.56340i | ||||||
\(833\) | 24.6382i | 0.853664i | ||||||||
\(834\) | −47.3007 | −1.63789 | ||||||||
\(835\) | 12.2374 | + | 18.1027i | 0.423493 | + | 0.626469i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 6.10088i | − | 0.210877i | ||||||
\(838\) | − | 62.1557i | − | 2.14713i | ||||||
\(839\) | 6.47781 | 0.223639 | 0.111819 | − | 0.993729i | \(-0.464332\pi\) | ||||
0.111819 | + | 0.993729i | \(0.464332\pi\) | |||||||
\(840\) | 5.69541 | + | 8.42516i | 0.196510 | + | 0.290696i | ||||
\(841\) | −27.8847 | −0.961542 | ||||||||
\(842\) | − | 26.2311i | − | 0.903985i | ||||||
\(843\) | − | 13.1632i | − | 0.453365i | ||||||
\(844\) | −56.1713 | −1.93349 | ||||||||
\(845\) | −0.0639536 | + | 0.0432327i | −0.00220007 | + | 0.00148725i | ||||
\(846\) | −14.2101 | −0.488552 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 21.8024i | 0.748696i | ||||||||
\(849\) | −8.68234 | −0.297977 | ||||||||
\(850\) | 18.5050 | − | 46.0730i | 0.634715 | − | 1.58029i | ||||
\(851\) | −30.4342 | −1.04327 | ||||||||
\(852\) | − | 32.6557i | − | 1.11877i | ||||||
\(853\) | − | 44.1409i | − | 1.51136i | −0.654943 | − | 0.755678i | \(-0.727307\pi\) | ||
0.654943 | − | 0.755678i | \(-0.272693\pi\) | |||||||
\(854\) | −14.4021 | −0.492831 | ||||||||
\(855\) | 3.02198 | − | 2.04286i | 0.103350 | − | 0.0698644i | ||||
\(856\) | 80.9739 | 2.76763 | ||||||||
\(857\) | − | 16.2984i | − | 0.556744i | −0.960473 | − | 0.278372i | \(-0.910205\pi\) | ||
0.960473 | − | 0.278372i | \(-0.0897948\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 41.9250 | 1.43046 | 0.715231 | − | 0.698888i | \(-0.246321\pi\) | ||||
0.715231 | + | 0.698888i | \(0.246321\pi\) | |||||||
\(860\) | −50.4455 | − | 74.6235i | −1.72018 | − | 2.54464i | ||||
\(861\) | −5.34135 | −0.182033 | ||||||||
\(862\) | − | 9.72848i | − | 0.331353i | ||||||
\(863\) | − | 27.1455i | − | 0.924044i | −0.886869 | − | 0.462022i | \(-0.847124\pi\) | ||
0.886869 | − | 0.462022i | \(-0.152876\pi\) | |||||||
\(864\) | −21.1784 | −0.720502 | ||||||||
\(865\) | 10.2458 | + | 15.1565i | 0.348369 | + | 0.515338i | ||||
\(866\) | −16.0239 | −0.544515 | ||||||||
\(867\) | 3.72976i | 0.126669i | ||||||||
\(868\) | 16.1130i | 0.546910i | ||||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 5.33288 | − | 3.60503i | 0.180802 | − | 0.122222i | ||||
\(871\) | 1.56152 | 0.0529102 | ||||||||
\(872\) | 41.2943i | 1.39840i | ||||||||
\(873\) | 1.39973i | 0.0473737i | ||||||||
\(874\) | −15.7529 | −0.532849 | ||||||||
\(875\) | −5.31503 | + | 1.14683i | −0.179681 | + | 0.0387700i | ||||
\(876\) | −6.32193 | −0.213598 | ||||||||
\(877\) | − | 24.6151i | − | 0.831193i | −0.909549 | − | 0.415597i | \(-0.863573\pi\) | ||
0.909549 | − | 0.415597i | \(-0.136427\pi\) | |||||||
\(878\) | − | 7.86677i | − | 0.265491i | ||||||
\(879\) | 19.7389 | 0.665777 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −27.3598 | −0.921777 | −0.460888 | − | 0.887458i | \(-0.652469\pi\) | ||||
−0.460888 | + | 0.887458i | \(0.652469\pi\) | |||||||
\(882\) | 18.4367i | 0.620796i | ||||||||
\(883\) | 59.1173i | 1.98946i | 0.102546 | + | 0.994728i | \(0.467301\pi\) | ||||
−0.102546 | + | 0.994728i | \(0.532699\pi\) | |||||||
\(884\) | 71.4229 | 2.40221 | ||||||||
\(885\) | 9.98827 | + | 14.7755i | 0.335752 | + | 0.496674i | ||||
\(886\) | −76.0954 | −2.55648 | ||||||||
\(887\) | − | 6.13583i | − | 0.206021i | −0.994680 | − | 0.103010i | \(-0.967152\pi\) | ||
0.994680 | − | 0.103010i | \(-0.0328475\pi\) | |||||||
\(888\) | − | 80.3406i | − | 2.69605i | ||||||
\(889\) | 5.15847 | 0.173010 | ||||||||
\(890\) | 4.72291 | + | 6.98655i | 0.158312 | + | 0.234190i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | − | 78.1362i | − | 2.61619i | ||||||
\(893\) | − | 8.50387i | − | 0.284571i | ||||||
\(894\) | 54.2059 | 1.81292 | ||||||||
\(895\) | −0.992862 | + | 0.671175i | −0.0331877 | + | 0.0224349i | ||||
\(896\) | 17.1425 | 0.572692 | ||||||||
\(897\) | − | 12.7897i | − | 0.427036i | ||||||
\(898\) | 51.9310i | 1.73296i | ||||||||
\(899\) | 6.44292 | 0.214883 | ||||||||
\(900\) | 10.1201 | − | 25.1968i | 0.337338 | − | 0.839893i | ||||
\(901\) | −5.42854 | −0.180851 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 3.60744i | 0.120048i | ||||||||
\(904\) | 171.740 | 5.71199 | ||||||||
\(905\) | −9.43629 | + | 6.37894i | −0.313673 | + | 0.212043i | ||||
\(906\) | 0.173233 | 0.00575529 | ||||||||
\(907\) | − | 0.00196868i | − | 6.53690e-5i | −1.00000 | 3.26845e-5i | \(-0.999990\pi\) | |||
1.00000 | 3.26845e-5i | \(-1.04038e-5\pi\) | ||||||||
\(908\) | 7.73560i | 0.256715i | ||||||||
\(909\) | −0.113225 | −0.00375544 | ||||||||
\(910\) | −5.99375 | − | 8.86648i | −0.198691 | − | 0.293921i | ||||
\(911\) | −41.9211 | −1.38891 | −0.694454 | − | 0.719537i | \(-0.744354\pi\) | ||||
−0.694454 | + | 0.719537i | \(0.744354\pi\) | |||||||
\(912\) | − | 23.8667i | − | 0.790307i | ||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | −57.8559 | −1.91370 | ||||||||
\(915\) | 13.6047 | + | 20.1252i | 0.449756 | + | 0.665319i | ||||
\(916\) | −27.4745 | −0.907784 | ||||||||
\(917\) | 8.02651i | 0.265059i | ||||||||
\(918\) | − | 9.93007i | − | 0.327741i | ||||||
\(919\) | −17.4839 | −0.576740 | −0.288370 | − | 0.957519i | \(-0.593113\pi\) | ||||
−0.288370 | + | 0.957519i | \(0.593113\pi\) | |||||||
\(920\) | −61.3705 | + | 41.4865i | −2.02332 | + | 1.36777i | ||||
\(921\) | −12.9484 | −0.426663 | ||||||||
\(922\) | 56.5859i | 1.86356i | ||||||||
\(923\) | 21.7098i | 0.714587i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 39.8605 | + | 16.0097i | 1.31060 | + | 0.526396i | ||||
\(926\) | 36.6343 | 1.20388 | ||||||||
\(927\) | 7.24830i | 0.238066i | ||||||||
\(928\) | − | 22.3657i | − | 0.734190i | ||||||
\(929\) | −44.0582 | −1.44550 | −0.722752 | − | 0.691108i | \(-0.757123\pi\) | ||||
−0.722752 | + | 0.691108i | \(0.757123\pi\) | |||||||
\(930\) | 30.8081 | − | 20.8263i | 1.01024 | − | 0.682920i | ||||
\(931\) | −11.0333 | −0.361600 | ||||||||
\(932\) | − | 113.554i | − | 3.71958i | ||||||
\(933\) | − | 28.4988i | − | 0.933008i | ||||||
\(934\) | −95.2741 | −3.11746 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 33.7625 | 1.10356 | ||||||||
\(937\) | − | 14.0261i | − | 0.458212i | −0.973401 | − | 0.229106i | \(-0.926420\pi\) | ||
0.973401 | − | 0.229106i | \(-0.0735803\pi\) | |||||||
\(938\) | 0.573385i | 0.0187217i | ||||||||
\(939\) | −6.79055 | −0.221601 | ||||||||
\(940\) | −35.4519 | − | 52.4436i | −1.15631 | − | 1.71052i | ||||
\(941\) | −0.891403 | −0.0290589 | −0.0145295 | − | 0.999894i | \(-0.504625\pi\) | ||||
−0.0145295 | + | 0.999894i | \(0.504625\pi\) | |||||||
\(942\) | 2.65674i | 0.0865612i | ||||||||
\(943\) | − | 38.9074i | − | 1.26700i | ||||||
\(944\) | 116.693 | 3.79803 | ||||||||
\(945\) | −0.900930 | + | 0.609029i | −0.0293072 | + | 0.0198117i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 5.19472i | 0.168806i | 0.996432 | + | 0.0844029i | \(0.0268983\pi\) | ||||
−0.996432 | + | 0.0844029i | \(0.973102\pi\) | |||||||
\(948\) | 24.0302i | 0.780466i | ||||||||
\(949\) | 4.20288 | 0.136431 | ||||||||
\(950\) | 20.6320 | + | 8.28671i | 0.669389 | + | 0.268856i | ||||
\(951\) | −30.6235 | −0.993035 | ||||||||
\(952\) | 16.5676i | 0.536958i | ||||||||
\(953\) | − | 22.0876i | − | 0.715488i | −0.933820 | − | 0.357744i | \(-0.883546\pi\) | ||
0.933820 | − | 0.357744i | \(-0.116454\pi\) | |||||||
\(954\) | −4.06216 | −0.131517 | ||||||||
\(955\) | 22.5094 | − | 15.2164i | 0.728389 | − | 0.492391i | ||||
\(956\) | 100.678 | 3.25615 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 54.3758i | 1.75680i | ||||||||
\(959\) | −2.95940 | −0.0955641 | ||||||||
\(960\) | −35.6520 | − | 52.7397i | −1.15066 | − | 1.70217i | ||||
\(961\) | 6.22078 | 0.200670 | ||||||||
\(962\) | 84.5490i | 2.72597i | ||||||||
\(963\) | 8.65879i | 0.279026i | ||||||||
\(964\) | −117.202 | −3.77481 | ||||||||
\(965\) | −11.8358 | − | 17.5086i | −0.381008 | − | 0.563622i | ||||
\(966\) | 4.69633 | 0.151102 | ||||||||
\(967\) | − | 3.71338i | − | 0.119414i | −0.998216 | − | 0.0597072i | \(-0.980983\pi\) | ||
0.998216 | − | 0.0597072i | \(-0.0190167\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 5.94255 | 0.190902 | ||||||||
\(970\) | −7.06832 | + | 4.77818i | −0.226950 | + | 0.153418i | ||||
\(971\) | 7.64022 | 0.245186 | 0.122593 | − | 0.992457i | \(-0.460879\pi\) | ||||
0.122593 | + | 0.992457i | \(0.460879\pi\) | |||||||
\(972\) | − | 5.43063i | − | 0.174188i | ||||||
\(973\) | 8.43892i | 0.270539i | ||||||||
\(974\) | −18.4309 | −0.590563 | ||||||||
\(975\) | −6.72796 | + | 16.7510i | −0.215467 | + | 0.536463i | ||||
\(976\) | 158.943 | 5.08765 | ||||||||
\(977\) | − | 29.0026i | − | 0.927876i | −0.885868 | − | 0.463938i | \(-0.846436\pi\) | ||
0.885868 | − | 0.463938i | \(-0.153564\pi\) | |||||||
\(978\) | 48.2850i | 1.54398i | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −68.0424 | + | 45.9967i | −2.17353 | + | 1.46931i | ||||
\(981\) | −4.41573 | −0.140984 | ||||||||
\(982\) | − | 9.18369i | − | 0.293063i | ||||||
\(983\) | − | 9.02079i | − | 0.287718i | −0.989598 | − | 0.143859i | \(-0.954049\pi\) | ||
0.989598 | − | 0.143859i | \(-0.0459513\pi\) | |||||||
\(984\) | 102.709 | 3.27423 | ||||||||
\(985\) | 9.89196 | + | 14.6331i | 0.315184 | + | 0.466248i | ||||
\(986\) | 10.4868 | 0.333967 | ||||||||
\(987\) | 2.53522i | 0.0806969i | ||||||||
\(988\) | 31.9839i | 1.01754i | ||||||||
\(989\) | −26.2772 | −0.835568 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −14.7651 | −0.469028 | −0.234514 | − | 0.972113i | \(-0.575350\pi\) | ||||
−0.234514 | + | 0.972113i | \(0.575350\pi\) | |||||||
\(992\) | − | 129.207i | − | 4.10232i | ||||||
\(993\) | − | 34.9532i | − | 1.10921i | ||||||
\(994\) | −7.97175 | −0.252848 | ||||||||
\(995\) | −4.82492 | + | 3.26165i | −0.152960 | + | 0.103401i | ||||
\(996\) | 17.2548 | 0.546739 | ||||||||
\(997\) | − | 44.9321i | − | 1.42301i | −0.702679 | − | 0.711507i | \(-0.748013\pi\) | ||
0.702679 | − | 0.711507i | \(-0.251987\pi\) | |||||||
\(998\) | 47.9258i | 1.51706i | ||||||||
\(999\) | 8.59108 | 0.271810 |
(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 | 1815.2.c.k.364.1 | 24 | ||
5.2 | odd | 4 | 9075.2.a.ea.1.12 | 12 | |||
5.3 | odd | 4 | 9075.2.a.dx.1.1 | 12 | |||
5.4 | even | 2 | inner | 1815.2.c.k.364.24 | 24 | ||
11.2 | odd | 10 | 165.2.s.a.4.12 | yes | 48 | ||
11.6 | odd | 10 | 165.2.s.a.124.1 | yes | 48 | ||
11.10 | odd | 2 | 1815.2.c.j.364.24 | 24 | |||
33.2 | even | 10 | 495.2.ba.c.334.1 | 48 | |||
33.17 | even | 10 | 495.2.ba.c.289.12 | 48 | |||
55.2 | even | 20 | 825.2.n.p.301.6 | 24 | |||
55.13 | even | 20 | 825.2.n.o.301.1 | 24 | |||
55.17 | even | 20 | 825.2.n.p.751.6 | 24 | |||
55.24 | odd | 10 | 165.2.s.a.4.1 | ✓ | 48 | ||
55.28 | even | 20 | 825.2.n.o.751.1 | 24 | |||
55.32 | even | 4 | 9075.2.a.dy.1.1 | 12 | |||
55.39 | odd | 10 | 165.2.s.a.124.12 | yes | 48 | ||
55.43 | even | 4 | 9075.2.a.dz.1.12 | 12 | |||
55.54 | odd | 2 | 1815.2.c.j.364.1 | 24 | |||
165.134 | even | 10 | 495.2.ba.c.334.12 | 48 | |||
165.149 | even | 10 | 495.2.ba.c.289.1 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.s.a.4.1 | ✓ | 48 | 55.24 | odd | 10 | ||
165.2.s.a.4.12 | yes | 48 | 11.2 | odd | 10 | ||
165.2.s.a.124.1 | yes | 48 | 11.6 | odd | 10 | ||
165.2.s.a.124.12 | yes | 48 | 55.39 | odd | 10 | ||
495.2.ba.c.289.1 | 48 | 165.149 | even | 10 | |||
495.2.ba.c.289.12 | 48 | 33.17 | even | 10 | |||
495.2.ba.c.334.1 | 48 | 33.2 | even | 10 | |||
495.2.ba.c.334.12 | 48 | 165.134 | even | 10 | |||
825.2.n.o.301.1 | 24 | 55.13 | even | 20 | |||
825.2.n.o.751.1 | 24 | 55.28 | even | 20 | |||
825.2.n.p.301.6 | 24 | 55.2 | even | 20 | |||
825.2.n.p.751.6 | 24 | 55.17 | even | 20 | |||
1815.2.c.j.364.1 | 24 | 55.54 | odd | 2 | |||
1815.2.c.j.364.24 | 24 | 11.10 | odd | 2 | |||
1815.2.c.k.364.1 | 24 | 1.1 | even | 1 | trivial | ||
1815.2.c.k.364.24 | 24 | 5.4 | even | 2 | inner | ||
9075.2.a.dx.1.1 | 12 | 5.3 | odd | 4 | |||
9075.2.a.dy.1.1 | 12 | 55.32 | even | 4 | |||
9075.2.a.dz.1.12 | 12 | 55.43 | even | 4 | |||
9075.2.a.ea.1.12 | 12 | 5.2 | odd | 4 |