Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [320,2,Mod(47,320)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(320, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("320.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 320 = 2^{6} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 320.j (of order \(4\), degree \(2\), not 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: | \(2.55521286468\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(9\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 2 x^{16} - 4 x^{15} - 5 x^{14} - 14 x^{13} - 10 x^{12} + 6 x^{11} + 37 x^{10} + 70 x^{9} + 74 x^{8} + 24 x^{7} - 80 x^{6} - 224 x^{5} - 160 x^{4} - 256 x^{3} + 256 x^{2} + 512 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{17}]\) |
Coefficient ring index: | \( 2^{13} \) |
Twist minimal: | no (minimal twist has level 80) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 143.5 | ||
Root | \(-1.37691 + 0.322680i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 320.143 |
Dual form | 320.2.j.b.47.5 |
$q$-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 \(\left(\mathbb{Z}/320\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(257\) | \(261\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | − | 0.614566i | − | 0.354820i | −0.984137 | − | 0.177410i | \(-0.943228\pi\) | ||
0.984137 | − | 0.177410i | \(-0.0567718\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.07551 | + | 0.832020i | −0.928196 | + | 0.372091i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.83610 | + | 2.83610i | −1.07194 | + | 1.07194i | −0.0747413 | + | 0.997203i | \(0.523813\pi\) |
−0.997203 | + | 0.0747413i | \(0.976187\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.62231 | 0.874103 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.95928 | + | 1.95928i | −0.590745 | + | 0.590745i | −0.937833 | − | 0.347088i | \(-0.887171\pi\) |
0.347088 | + | 0.937833i | \(0.387171\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.05493 | −0.569934 | −0.284967 | − | 0.958537i | \(-0.591983\pi\) | ||||
−0.284967 | + | 0.958537i | \(0.591983\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.511331 | + | 1.27554i | 0.132025 | + | 0.329343i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −4.06774 | + | 4.06774i | −0.986571 | + | 0.986571i | −0.999911 | − | 0.0133401i | \(-0.995754\pi\) |
0.0133401 | + | 0.999911i | \(0.495754\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.683479 | + | 0.683479i | −0.156801 | + | 0.156801i | −0.781147 | − | 0.624347i | \(-0.785365\pi\) |
0.624347 | + | 0.781147i | \(0.285365\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.74297 | + | 1.74297i | 0.380347 | + | 0.380347i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.95014 | + | 4.95014i | 1.03218 | + | 1.03218i | 0.999465 | + | 0.0327113i | \(0.0104142\pi\) |
0.0327113 | + | 0.999465i | \(0.489586\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.61549 | − | 3.45373i | 0.723097 | − | 0.690746i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | − | 3.45528i | − | 0.664969i | ||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.835439 | − | 0.835439i | −0.155137 | − | 0.155137i | 0.625271 | − | 0.780408i | \(-0.284989\pi\) |
−0.780408 | + | 0.625271i | \(0.784989\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 2.35978i | − | 0.423829i | −0.977288 | − | 0.211915i | \(-0.932030\pi\) | ||
0.977288 | − | 0.211915i | \(-0.0679698\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 1.20411 | + | 1.20411i | 0.209608 | + | 0.209608i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 3.52666 | − | 8.24604i | 0.596114 | − | 1.39384i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.54384 | −0.747002 | −0.373501 | − | 0.927630i | \(-0.621843\pi\) | ||||
−0.373501 | + | 0.927630i | \(0.621843\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.26289i | 0.202224i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.07255i | 0.792199i | 0.918208 | + | 0.396100i | \(0.129636\pi\) | ||||
−0.918208 | + | 0.396100i | \(0.870364\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.849753 | 0.129586 | 0.0647930 | − | 0.997899i | \(-0.479361\pi\) | ||||
0.0647930 | + | 0.997899i | \(0.479361\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −5.44263 | + | 2.18181i | −0.811339 | + | 0.325245i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2.72646 | − | 2.72646i | −0.397696 | − | 0.397696i | 0.479724 | − | 0.877419i | \(-0.340737\pi\) |
−0.877419 | + | 0.479724i | \(0.840737\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 9.08690i | − | 1.29813i | ||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.49989 | + | 2.49989i | 0.350055 | + | 0.350055i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 5.17605i | 0.710985i | 0.934679 | + | 0.355492i | \(0.115687\pi\) | ||||
−0.934679 | + | 0.355492i | \(0.884313\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.43634 | − | 5.69666i | 0.328517 | − | 0.768138i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.420043 | + | 0.420043i | 0.0556360 | + | 0.0556360i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.16328 | − | 4.16328i | −0.542013 | − | 0.542013i | 0.382105 | − | 0.924119i | \(-0.375199\pi\) |
−0.924119 | + | 0.382105i | \(0.875199\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.55706 | − | 5.55706i | 0.711509 | − | 0.711509i | −0.255342 | − | 0.966851i | \(-0.582188\pi\) |
0.966851 | + | 0.255342i | \(0.0821880\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −7.43712 | + | 7.43712i | −0.936990 | + | 0.936990i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 4.26502 | − | 1.70974i | 0.529011 | − | 0.212067i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.73609 | 0.212097 | 0.106048 | − | 0.994361i | \(-0.466180\pi\) | ||||
0.106048 | + | 0.994361i | \(0.466180\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.04219 | − | 3.04219i | 0.366237 | − | 0.366237i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.33526 | −0.277144 | −0.138572 | − | 0.990352i | \(-0.544251\pi\) | ||||
−0.138572 | + | 0.990352i | \(0.544251\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.39686 | − | 4.39686i | 0.514613 | − | 0.514613i | −0.401323 | − | 0.915936i | \(-0.631450\pi\) |
0.915936 | + | 0.401323i | \(0.131450\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.12255 | − | 2.22195i | −0.245091 | − | 0.256569i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | − | 11.1134i | − | 1.26649i | ||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 14.0993 | 1.58629 | 0.793146 | − | 0.609032i | \(-0.208442\pi\) | ||||
0.793146 | + | 0.609032i | \(0.208442\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.74343 | 0.638159 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 2.75725i | 0.302648i | 0.988484 | + | 0.151324i | \(0.0483536\pi\) | ||||
−0.988484 | + | 0.151324i | \(0.951646\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.05819 | − | 11.8271i | 0.548638 | − | 1.28283i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.513433 | + | 0.513433i | −0.0550458 | + | 0.0550458i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −11.6448 | −1.23435 | −0.617173 | − | 0.786828i | \(-0.711722\pi\) | ||||
−0.617173 | + | 0.786828i | \(0.711722\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.82797 | − | 5.82797i | 0.610937 | − | 0.610937i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.45024 | −0.150383 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.849899 | − | 1.98724i | 0.0871978 | − | 0.203886i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.52933 | + | 3.52933i | −0.358349 | + | 0.358349i | −0.863204 | − | 0.504855i | \(-0.831546\pi\) |
0.504855 | + | 0.863204i | \(0.331546\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −5.13783 | + | 5.13783i | −0.516372 | + | 0.516372i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 7.39467 | + | 7.39467i | 0.735797 | + | 0.735797i | 0.971762 | − | 0.235964i | \(-0.0758249\pi\) |
−0.235964 | + | 0.971762i | \(0.575825\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.72605 | − | 3.72605i | −0.367139 | − | 0.367139i | 0.499294 | − | 0.866433i | \(-0.333593\pi\) |
−0.866433 | + | 0.499294i | \(0.833593\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −5.06774 | − | 2.16737i | −0.494560 | − | 0.211513i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 16.4605i | 1.59130i | 0.605758 | + | 0.795649i | \(0.292870\pi\) | ||||
−0.605758 | + | 0.795649i | \(0.707130\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.8554 | + | 12.8554i | 1.23133 | + | 1.23133i | 0.963455 | + | 0.267870i | \(0.0863199\pi\) |
0.267870 | + | 0.963455i | \(0.413680\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.79249i | 0.265051i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.863630 | + | 0.863630i | 0.0812435 | + | 0.0812435i | 0.746561 | − | 0.665317i | \(-0.231704\pi\) |
−0.665317 | + | 0.746561i | \(0.731704\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −14.3927 | − | 6.15546i | −1.34213 | − | 0.573999i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −5.38865 | −0.498181 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | − | 23.0730i | − | 2.11510i | ||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.32246i | 0.302042i | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 3.11742 | 0.281088 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −4.63041 | + | 10.1764i | −0.414156 | + | 0.910206i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −11.7944 | − | 11.7944i | −1.04659 | − | 1.04659i | −0.998860 | − | 0.0477265i | \(-0.984802\pi\) |
−0.0477265 | − | 0.998860i | \(-0.515198\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | − | 0.522229i | − | 0.0459797i | ||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 15.9756 | + | 15.9756i | 1.39579 | + | 1.39579i | 0.811659 | + | 0.584132i | \(0.198565\pi\) |
0.584132 | + | 0.811659i | \(0.301435\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 3.87683i | − | 0.336163i | ||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.87486 | + | 7.17147i | 0.247429 | + | 0.617222i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −1.29423 | − | 1.29423i | −0.110573 | − | 0.110573i | 0.649655 | − | 0.760229i | \(-0.274913\pi\) |
−0.760229 | + | 0.649655i | \(0.774913\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.61413 | + | 8.61413i | 0.730641 | + | 0.730641i | 0.970747 | − | 0.240106i | \(-0.0771821\pi\) |
−0.240106 | + | 0.970747i | \(0.577182\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.67559 | + | 1.67559i | −0.141110 | + | 0.141110i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 4.02617 | − | 4.02617i | 0.336685 | − | 0.336685i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.42906 | + | 1.03886i | 0.201723 | + | 0.0862727i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −5.58450 | −0.460602 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −0.0806133 | + | 0.0806133i | −0.00660410 | + | 0.00660410i | −0.710401 | − | 0.703797i | \(-0.751486\pi\) |
0.703797 | + | 0.710401i | \(0.251486\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.25198 | 0.264643 | 0.132321 | − | 0.991207i | \(-0.457757\pi\) | ||||
0.132321 | + | 0.991207i | \(0.457757\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −10.6669 | + | 10.6669i | −0.862364 | + | 0.862364i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.96338 | + | 4.89775i | 0.157703 | + | 0.393397i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.06652i | 0.723587i | 0.932258 | + | 0.361793i | \(0.117835\pi\) | ||||
−0.932258 | + | 0.361793i | \(0.882165\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 3.18102 | 0.252271 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −28.0782 | −2.21287 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 3.93313i | − | 0.308067i | −0.988066 | − | 0.154033i | \(-0.950774\pi\) | ||
0.988066 | − | 0.154033i | \(-0.0492263\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −3.50097 | − | 1.49729i | −0.272550 | − | 0.116564i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −8.13216 | + | 8.13216i | −0.629285 | + | 0.629285i | −0.947888 | − | 0.318603i | \(-0.896786\pi\) |
0.318603 | + | 0.947888i | \(0.396786\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.77728 | −0.675175 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.79229 | + | 1.79229i | −0.137060 | + | 0.137060i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 6.86735 | 0.522115 | 0.261057 | − | 0.965323i | \(-0.415929\pi\) | ||||
0.261057 | + | 0.965323i | \(0.415929\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.458751 | + | 20.0490i | −0.0346784 | + | 1.51556i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.55861 | + | 2.55861i | −0.192317 | + | 0.192317i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −15.7117 | + | 15.7117i | −1.17435 | + | 1.17435i | −0.193183 | + | 0.981163i | \(0.561881\pi\) |
−0.981163 | + | 0.193183i | \(0.938119\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −13.9112 | − | 13.9112i | −1.03401 | − | 1.03401i | −0.999401 | − | 0.0346142i | \(-0.988980\pi\) |
−0.0346142 | − | 0.999401i | \(-0.511020\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −3.41518 | − | 3.41518i | −0.252458 | − | 0.252458i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 9.43078 | − | 3.78056i | 0.693365 | − | 0.277953i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 15.9397i | − | 1.16562i | ||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 9.79951 | + | 9.79951i | 0.712810 | + | 0.712810i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 10.3393i | − | 0.748123i | −0.927404 | − | 0.374061i | \(-0.877965\pi\) | ||
0.927404 | − | 0.374061i | \(-0.122035\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 13.2080 | + | 13.2080i | 0.950734 | + | 0.950734i | 0.998842 | − | 0.0481079i | \(-0.0153191\pi\) |
−0.0481079 | + | 0.998842i | \(0.515319\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.05075 | − | 2.62114i | −0.0752456 | − | 0.187704i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 15.2437 | 1.08607 | 0.543036 | − | 0.839709i | \(-0.317275\pi\) | ||||
0.543036 | + | 0.839709i | \(0.317275\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.98761i | 0.353562i | 0.984250 | + | 0.176781i | \(0.0565684\pi\) | ||||
−0.984250 | + | 0.176781i | \(0.943432\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | − | 1.06694i | − | 0.0752561i | ||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 4.73878 | 0.332597 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.22046 | − | 10.5281i | −0.294770 | − | 0.735316i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 12.9808 | + | 12.9808i | 0.902228 | + | 0.902228i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − | 2.67825i | − | 0.185258i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.3803 | − | 10.3803i | −0.714608 | − | 0.714608i | 0.252887 | − | 0.967496i | \(-0.418620\pi\) |
−0.967496 | + | 0.252887i | \(0.918620\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 1.43517i | 0.0983362i | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −1.76367 | + | 0.707011i | −0.120281 | + | 0.0482178i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 6.69257 | + | 6.69257i | 0.454321 | + | 0.454321i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −2.70216 | − | 2.70216i | −0.182595 | − | 0.182595i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 8.35890 | − | 8.35890i | 0.562280 | − | 0.562280i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.49853 | − | 1.49853i | 0.100349 | − | 0.100349i | −0.655150 | − | 0.755499i | \(-0.727395\pi\) |
0.755499 | + | 0.655150i | \(0.227395\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 9.48092 | − | 9.05675i | 0.632061 | − | 0.603783i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 15.6346 | 1.03771 | 0.518853 | − | 0.854864i | \(-0.326359\pi\) | ||||
0.518853 | + | 0.854864i | \(0.326359\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.74097 | + | 9.74097i | −0.643702 | + | 0.643702i | −0.951463 | − | 0.307762i | \(-0.900420\pi\) |
0.307762 | + | 0.951463i | \(0.400420\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −6.82992 | −0.449376 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.509123 | − | 0.509123i | 0.0333538 | − | 0.0333538i | −0.690233 | − | 0.723587i | \(-0.742492\pi\) |
0.723587 | + | 0.690233i | \(0.242492\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 7.92727 | + | 3.39033i | 0.517118 | + | 0.221161i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | − | 8.66493i | − | 0.562848i | ||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −8.19486 | −0.530081 | −0.265041 | − | 0.964237i | \(-0.585385\pi\) | ||||
−0.265041 | + | 0.964237i | \(0.585385\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.66775 | 0.365092 | 0.182546 | − | 0.983197i | \(-0.441566\pi\) | ||||
0.182546 | + | 0.983197i | \(0.441566\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | − | 13.8956i | − | 0.891400i | ||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 7.56048 | + | 18.8600i | 0.483022 | + | 1.20492i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.40450 | − | 1.40450i | 0.0893661 | − | 0.0893661i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 1.69451 | 0.107385 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −14.7484 | + | 14.7484i | −0.930911 | + | 0.930911i | −0.997763 | − | 0.0668521i | \(-0.978704\pi\) |
0.0668521 | + | 0.997763i | \(0.478704\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −19.3974 | −1.21951 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −7.26851 | − | 3.10859i | −0.455172 | − | 0.194668i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 3.61143 | − | 3.61143i | 0.225275 | − | 0.225275i | −0.585440 | − | 0.810715i | \(-0.699078\pi\) |
0.810715 | + | 0.585440i | \(0.199078\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 12.8868 | − | 12.8868i | 0.800745 | − | 0.800745i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.19078 | − | 2.19078i | −0.135606 | − | 0.135606i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 6.80041 | + | 6.80041i | 0.419331 | + | 0.419331i | 0.884973 | − | 0.465642i | \(-0.154177\pi\) |
−0.465642 | + | 0.884973i | \(0.654177\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.30657 | − | 10.7429i | −0.264551 | − | 0.659933i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 7.15650i | 0.437970i | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −1.20010 | − | 1.20010i | −0.0731711 | − | 0.0731711i | 0.669574 | − | 0.742745i | \(-0.266477\pi\) |
−0.742745 | + | 0.669574i | \(0.766477\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 2.79591i | − | 0.169840i | −0.996388 | − | 0.0849199i | \(-0.972937\pi\) | ||
0.996388 | − | 0.0849199i | \(-0.0270634\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −3.58167 | − | 3.58167i | −0.216773 | − | 0.216773i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.316922 | + | 13.8506i | −0.0191111 | + | 0.835220i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 13.8115 | 0.829852 | 0.414926 | − | 0.909855i | \(-0.363807\pi\) | ||||
0.414926 | + | 0.909855i | \(0.363807\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | − | 6.18807i | − | 0.370470i | ||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 7.21718i | − | 0.430541i | −0.976554 | − | 0.215270i | \(-0.930937\pi\) | ||
0.976554 | − | 0.215270i | \(-0.0690633\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −25.2988 | −1.50386 | −0.751930 | − | 0.659243i | \(-0.770877\pi\) | ||||
−0.751930 | + | 0.659243i | \(0.770877\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.22129 | − | 0.522319i | −0.0723428 | − | 0.0309395i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −14.3862 | − | 14.3862i | −0.849193 | − | 0.849193i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | − | 16.0930i | − | 0.946644i | ||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.16901 | + | 2.16901i | 0.127149 | + | 0.127149i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | − | 14.1276i | − | 0.825344i | −0.910880 | − | 0.412672i | \(-0.864596\pi\) | ||
0.910880 | − | 0.412672i | \(-0.135404\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 12.1049 | + | 5.17700i | 0.704773 | + | 0.301417i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 6.76985 | + | 6.76985i | 0.392827 | + | 0.392827i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −10.1722 | − | 10.1722i | −0.588272 | − | 0.588272i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.40998 | + | 2.40998i | −0.138909 | + | 0.138909i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 4.54451 | − | 4.54451i | 0.261076 | − | 0.261076i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −6.91016 | + | 16.1573i | −0.395674 | + | 0.925166i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 22.6081 | 1.29031 | 0.645156 | − | 0.764051i | \(-0.276792\pi\) | ||||
0.645156 | + | 0.764051i | \(0.276792\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.28990 | + | 2.28990i | −0.130268 | + | 0.130268i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 10.7903 | 0.611859 | 0.305929 | − | 0.952054i | \(-0.401033\pi\) | ||||
0.305929 | + | 0.952054i | \(0.401033\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 20.6842 | − | 20.6842i | 1.16914 | − | 1.16914i | 0.186727 | − | 0.982412i | \(-0.440212\pi\) |
0.982412 | − | 0.186727i | \(-0.0597879\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 9.24799 | − | 21.6237i | 0.521065 | − | 1.21836i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | − | 23.8207i | − | 1.33791i | −0.743305 | − | 0.668953i | \(-0.766743\pi\) | ||
0.743305 | − | 0.668953i | \(-0.233257\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 3.27372 | 0.183293 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 10.1161 | 0.564624 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 5.56042i | − | 0.309390i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −7.42956 | + | 7.09716i | −0.412118 | + | 0.393680i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 7.90050 | − | 7.90050i | 0.436899 | − | 0.436899i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 15.4650 | 0.852615 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 19.7688 | − | 19.7688i | 1.08659 | − | 1.08659i | 0.0907155 | − | 0.995877i | \(-0.471085\pi\) |
0.995877 | − | 0.0907155i | \(-0.0289154\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −11.9153 | −0.652957 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −3.60326 | + | 1.44446i | −0.196867 | + | 0.0789191i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.26955 | − | 7.26955i | 0.395998 | − | 0.395998i | −0.480821 | − | 0.876819i | \(-0.659661\pi\) |
0.876819 | + | 0.480821i | \(0.159661\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.530758 | − | 0.530758i | 0.0288268 | − | 0.0288268i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.62347 | + | 4.62347i | 0.250375 | + | 0.250375i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 5.91866 | + | 5.91866i | 0.319578 | + | 0.319578i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −3.78293 | + | 8.84526i | −0.203666 | + | 0.476213i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | − | 23.4667i | − | 1.25976i | −0.776692 | − | 0.629880i | \(-0.783104\pi\) | ||
0.776692 | − | 0.629880i | \(-0.216896\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −23.2089 | − | 23.2089i | −1.24234 | − | 1.24234i | −0.959027 | − | 0.283315i | \(-0.908566\pi\) |
−0.283315 | − | 0.959027i | \(-0.591434\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 7.10035i | 0.378988i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −13.3220 | − | 13.3220i | −0.709059 | − | 0.709059i | 0.257278 | − | 0.966337i | \(-0.417174\pi\) |
−0.966337 | + | 0.257278i | \(0.917174\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.84685 | − | 1.94298i | 0.257244 | − | 0.103123i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −14.1799 | −0.750479 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 26.9902i | 1.42449i | 0.701932 | + | 0.712244i | \(0.252321\pi\) | ||||
−0.701932 | + | 0.712244i | \(0.747679\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 18.0657i | 0.950827i | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 2.04187 | 0.107170 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.46745 | + | 12.7840i | −0.286179 | + | 0.669145i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 19.4758 | + | 19.4758i | 1.01663 | + | 1.01663i | 0.999859 | + | 0.0167684i | \(0.00533781\pi\) |
0.0167684 | + | 0.999859i | \(0.494662\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 13.3018i | 0.692464i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −14.6798 | − | 14.6798i | −0.762136 | − | 0.762136i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 4.87069i | 0.252195i | 0.992018 | + | 0.126097i | \(0.0402452\pi\) | ||||
−0.992018 | + | 0.126097i | \(0.959755\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 6.25408 | + | 2.84569i | 0.322959 | + | 0.146951i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 1.71677 | + | 1.71677i | 0.0884180 | + | 0.0884180i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −2.54450 | − | 2.54450i | −0.130702 | − | 0.130702i | 0.638729 | − | 0.769432i | \(-0.279460\pi\) |
−0.769432 | + | 0.638729i | \(0.779460\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −7.24846 | + | 7.24846i | −0.371350 | + | 0.371350i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −0.193238 | + | 0.193238i | −0.00987399 | + | 0.00987399i | −0.712027 | − | 0.702153i | \(-0.752222\pi\) |
0.702153 | + | 0.712027i | \(0.252222\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 9.24658 | + | 23.0660i | 0.471249 | + | 1.17555i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.22831 | 0.113272 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 2.01528 | − | 2.01528i | 0.102179 | − | 0.102179i | −0.654169 | − | 0.756348i | \(-0.726982\pi\) |
0.756348 | + | 0.654169i | \(0.226982\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −40.2718 | −2.03663 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 9.81803 | − | 9.81803i | 0.495254 | − | 0.495254i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −29.2632 | + | 11.7309i | −1.47239 | + | 0.590244i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 21.5509i | 1.08161i | 0.841149 | + | 0.540804i | \(0.181880\pi\) | ||||
−0.841149 | + | 0.540804i | \(0.818120\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −2.38257 | −0.119277 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −10.3965 | −0.519176 | −0.259588 | − | 0.965719i | \(-0.583587\pi\) | ||||
−0.259588 | + | 0.965719i | \(0.583587\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 4.84917i | 0.241555i | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −11.9205 | + | 4.77865i | −0.592337 | + | 0.237453i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.90264 | − | 8.90264i | 0.441288 | − | 0.441288i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −0.330732 | −0.0163536 | −0.00817682 | − | 0.999967i | \(-0.502603\pi\) | ||||
−0.00817682 | + | 0.999967i | \(0.502603\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.795389 | + | 0.795389i | −0.0392337 | + | 0.0392337i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 23.6150 | 1.16202 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.29409 | − | 5.72270i | −0.112612 | − | 0.280917i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 5.29395 | − | 5.29395i | 0.259246 | − | 0.259246i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 6.71354 | − | 6.71354i | 0.327978 | − | 0.327978i | −0.523839 | − | 0.851817i | \(-0.675501\pi\) |
0.851817 | + | 0.523839i | \(0.175501\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.99831 | + | 2.99831i | 0.146129 | + | 0.146129i | 0.776386 | − | 0.630258i | \(-0.217051\pi\) |
−0.630258 | + | 0.776386i | \(0.717051\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −7.14963 | − | 7.14963i | −0.347627 | − | 0.347627i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.657974 | + | 28.7557i | −0.0319164 | + | 1.39486i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 31.5208i | 1.52540i | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −2.47435 | − | 2.47435i | −0.119463 | − | 0.119463i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 19.9548i | − | 0.961191i | −0.876942 | − | 0.480596i | \(-0.840420\pi\) | ||
0.876942 | − | 0.480596i | \(-0.159580\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −16.1910 | − | 16.1910i | −0.778092 | − | 0.778092i | 0.201414 | − | 0.979506i | \(-0.435446\pi\) |
−0.979506 | + | 0.201414i | \(0.935446\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.638449 | − | 1.49282i | 0.0306113 | − | 0.0715753i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −6.76664 | −0.323692 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 29.3734i | 1.40191i | 0.713204 | + | 0.700957i | \(0.247243\pi\) | ||||
−0.713204 | + | 0.700957i | \(0.752757\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | − | 23.8287i | − | 1.13470i | ||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 19.8713 | 0.944115 | 0.472057 | − | 0.881568i | \(-0.343511\pi\) | ||||
0.472057 | + | 0.881568i | \(0.343511\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 24.1689 | − | 9.68870i | 1.14572 | − | 0.459288i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.0495422 | + | 0.0495422i | 0.00234326 | + | 0.00234326i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 16.7577i | 0.790844i | 0.918500 | + | 0.395422i | \(0.129402\pi\) | ||||
−0.918500 | + | 0.395422i | \(0.870598\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −9.93854 | − | 9.93854i | −0.467987 | − | 0.467987i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | − | 1.99856i | − | 0.0939005i | ||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −7.24703 | + | 16.9450i | −0.339746 | + | 0.794394i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.00267 | − | 5.00267i | −0.234015 | − | 0.234015i | 0.580351 | − | 0.814366i | \(-0.302915\pi\) |
−0.814366 | + | 0.580351i | \(0.802915\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 14.0552 | + | 14.0552i | 0.656039 | + | 0.656039i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 2.71518 | − | 2.71518i | 0.126459 | − | 0.126459i | −0.641045 | − | 0.767503i | \(-0.721499\pi\) |
0.767503 | + | 0.641045i | \(0.221499\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.18551 | + | 9.18551i | −0.426887 | + | 0.426887i | −0.887566 | − | 0.460680i | \(-0.847606\pi\) |
0.460680 | + | 0.887566i | \(0.347606\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 3.00999 | − | 1.20663i | 0.139585 | − | 0.0559561i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 1.06405 | 0.0492385 | 0.0246193 | − | 0.999697i | \(-0.492163\pi\) | ||||
0.0246193 | + | 0.999697i | \(0.492163\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.92371 | + | 4.92371i | −0.227356 | + | 0.227356i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 5.57197 | 0.256743 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −1.66490 | + | 1.66490i | −0.0765523 | + | 0.0765523i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.110556 | + | 4.83166i | −0.00507265 | + | 0.221692i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 13.5732i | 0.621474i | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −15.8658 | −0.724926 | −0.362463 | − | 0.931998i | \(-0.618064\pi\) | ||||
−0.362463 | + | 0.931998i | \(0.618064\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9.33725 | 0.425742 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 17.2559i | 0.785170i | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 4.38869 | − | 10.2616i | 0.199280 | − | 0.465957i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 13.7947 | − | 13.7947i | 0.625099 | − | 0.625099i | −0.321732 | − | 0.946831i | \(-0.604265\pi\) |
0.946831 | + | 0.321732i | \(0.104265\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −2.41717 | −0.109308 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −19.4471 | + | 19.4471i | −0.877637 | + | 0.877637i | −0.993290 | − | 0.115652i | \(-0.963104\pi\) |
0.115652 | + | 0.993290i | \(0.463104\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 6.79669 | 0.306108 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 6.38885 | − | 14.9384i | 0.287157 | − | 0.671431i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 6.62302 | − | 6.62302i | 0.297083 | − | 0.297083i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −23.0141 | + | 23.0141i | −1.03025 | + | 1.03025i | −0.0307258 | + | 0.999528i | \(0.509782\pi\) |
−0.999528 | + | 0.0307258i | \(0.990218\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 4.99775 | + | 4.99775i | 0.223283 | + | 0.223283i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −6.63364 | − | 6.63364i | −0.295780 | − | 0.295780i | 0.543579 | − | 0.839358i | \(-0.317069\pi\) |
−0.839358 | + | 0.543579i | \(0.817069\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −21.5002 | − | 9.19520i | −0.956748 | − | 0.409181i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 5.39422i | 0.239566i | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 8.04140 | + | 8.04140i | 0.356429 | + | 0.356429i | 0.862495 | − | 0.506066i | \(-0.168901\pi\) |
−0.506066 | + | 0.862495i | \(0.668901\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 24.9398i | 1.10327i | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 2.36161 | + | 2.36161i | 0.104268 | + | 0.104268i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 10.8336 | + | 4.63331i | 0.477386 | + | 0.204168i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 10.6838 | 0.469873 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 4.22044i | − | 0.185257i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 32.8549i | − | 1.43940i | −0.694285 | − | 0.719700i | \(-0.744279\pi\) | ||
0.694285 | − | 0.719700i | \(-0.255721\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.46341 | 0.107717 | 0.0538587 | − | 0.998549i | \(-0.482848\pi\) | ||||
0.0538587 | + | 0.998549i | \(0.482848\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 12.3214 | + | 0.281933i | 0.537751 | + | 0.0123046i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 9.59896 | + | 9.59896i | 0.418137 | + | 0.418137i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 26.0078i | 1.13078i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −10.9174 | − | 10.9174i | −0.473775 | − | 0.473775i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 10.4237i | − | 0.451501i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −13.6955 | − | 34.1640i | −0.592107 | − | 1.47704i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 9.65586 | + | 9.65586i | 0.416681 | + | 0.416681i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 17.8038 | + | 17.8038i | 0.766863 | + | 0.766863i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −18.0772 | + | 18.0772i | −0.777198 | + | 0.777198i | −0.979353 | − | 0.202156i | \(-0.935205\pi\) |
0.202156 | + | 0.979353i | \(0.435205\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −8.54938 | + | 8.54938i | −0.366889 | + | 0.366889i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −37.3775 | − | 15.9856i | −1.60108 | − | 0.684747i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −43.6742 | −1.86738 | −0.933688 | − | 0.358089i | \(-0.883428\pi\) | ||||
−0.933688 | + | 0.358089i | \(0.883428\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 14.5723 | − | 14.5723i | 0.621932 | − | 0.621932i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.14201 | 0.0486513 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −39.9869 | + | 39.9869i | −1.70042 | + | 1.70042i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −2.32341 | − | 5.79584i | −0.0986231 | − | 0.246020i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 5.18948i | 0.219885i | 0.993938 | + | 0.109943i | \(0.0350667\pi\) | ||||
−0.993938 | + | 0.109943i | \(0.964933\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.74618 | −0.0738555 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −9.79597 | −0.413586 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | − | 11.3756i | − | 0.479423i | −0.970844 | − | 0.239711i | \(-0.922947\pi\) | ||
0.970844 | − | 0.239711i | \(-0.0770528\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.51103 | − | 1.07392i | −0.105640 | − | 0.0451800i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −16.2889 | + | 16.2889i | −0.684071 | + | 0.684071i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −7.51787 | −0.315165 | −0.157583 | − | 0.987506i | \(-0.550370\pi\) | ||||
−0.157583 | + | 0.987506i | \(0.550370\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 7.76889 | − | 7.76889i | 0.325118 | − | 0.325118i | −0.525609 | − | 0.850726i | \(-0.676162\pi\) |
0.850726 | + | 0.525609i | \(0.176162\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −6.35416 | −0.265449 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 34.9936 | + | 0.800708i | 1.45934 | + | 0.0333918i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −9.84819 | + | 9.84819i | −0.409986 | + | 0.409986i | −0.881733 | − | 0.471748i | \(-0.843623\pi\) |
0.471748 | + | 0.881733i | \(0.343623\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 8.11720 | − | 8.11720i | 0.337339 | − | 0.337339i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −7.81984 | − | 7.81984i | −0.324421 | − | 0.324421i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −10.1413 | − | 10.1413i | −0.420010 | − | 0.420010i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 11.1842 | − | 4.48346i | 0.462410 | − | 0.185368i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | − | 33.0447i | − | 1.36390i | −0.731398 | − | 0.681951i | \(-0.761132\pi\) | ||
0.731398 | − | 0.681951i | \(-0.238868\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 1.61286 | + | 1.61286i | 0.0664567 | + | 0.0664567i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | − | 9.36829i | − | 0.385360i | ||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 18.5424 | + | 18.5424i | 0.761445 | + | 0.761445i | 0.976584 | − | 0.215139i | \(-0.0690203\pi\) |
−0.215139 | + | 0.976584i | \(0.569020\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 19.1972 | + | 47.8882i | 0.787008 | + | 1.96323i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 3.06521 | 0.125451 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 28.3117i | − | 1.15678i | −0.815759 | − | 0.578392i | \(-0.803681\pi\) | ||
0.815759 | − | 0.578392i | \(-0.196319\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 41.7630i | 1.70355i | 0.523909 | + | 0.851774i | \(0.324473\pi\) | ||||
−0.523909 | + | 0.851774i | \(0.675527\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.55255 | 0.185394 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −2.76435 | − | 6.89579i | −0.112387 | − | 0.280354i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4.01973 | − | 4.01973i | −0.163156 | − | 0.163156i | 0.620807 | − | 0.783963i | \(-0.286805\pi\) |
−0.783963 | + | 0.620807i | \(0.786805\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | − | 2.91229i | − | 0.118012i | ||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 5.60268 | + | 5.60268i | 0.226660 | + | 0.226660i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 21.5230i | 0.869305i | 0.900598 | + | 0.434652i | \(0.143129\pi\) | ||||
−0.900598 | + | 0.434652i | \(0.856871\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −6.47023 | + | 2.59375i | −0.260905 | + | 0.104590i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −26.4655 | − | 26.4655i | −1.06546 | − | 1.06546i | −0.997702 | − | 0.0677580i | \(-0.978415\pi\) |
−0.0677580 | − | 0.997702i | \(-0.521585\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −21.7935 | − | 21.7935i | −0.875955 | − | 0.875955i | 0.117158 | − | 0.993113i | \(-0.462622\pi\) |
−0.993113 | + | 0.117158i | \(0.962622\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 17.1041 | − | 17.1041i | 0.686365 | − | 0.686365i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 33.0258 | − | 33.0258i | 1.32315 | − | 1.32315i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.14348 | − | 24.9738i | 0.0457391 | − | 0.998953i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.64596 | −0.0657334 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 18.4831 | − | 18.4831i | 0.736971 | − | 0.736971i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 42.7412 | 1.70150 | 0.850751 | − | 0.525570i | \(-0.176148\pi\) | ||||
0.850751 | + | 0.525570i | \(0.176148\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −6.37937 | + | 6.37937i | −0.253557 | + | 0.253557i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 34.2927 | + | 14.6663i | 1.36086 | + | 0.582013i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 18.6729i | 0.739848i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −6.12376 | −0.242252 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 45.4930 | 1.79687 | 0.898433 | − | 0.439110i | \(-0.144706\pi\) | ||||
0.898433 | + | 0.439110i | \(0.144706\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 31.3531i | 1.23645i | 0.786002 | + | 0.618224i | \(0.212147\pi\) | ||||
−0.786002 | + | 0.618224i | \(0.787853\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.434505 | + | 1.08389i | 0.0171086 | + | 0.0426782i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 24.0355 | − | 24.0355i | 0.944932 | − | 0.944932i | −0.0536292 | − | 0.998561i | \(-0.517079\pi\) |
0.998561 | + | 0.0536292i | \(0.0170789\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 16.3141 | 0.640383 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 4.11303 | − | 4.11303i | 0.161202 | − | 0.161202i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 15.4153 | 0.603248 | 0.301624 | − | 0.953427i | \(-0.402471\pi\) | ||||
0.301624 | + | 0.953427i | \(0.402471\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −46.4494 | − | 19.8654i | −1.81493 | − | 0.776207i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 11.5299 | − | 11.5299i | 0.449825 | − | 0.449825i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 30.4355 | − | 30.4355i | 1.18560 | − | 1.18560i | 0.207327 | − | 0.978272i | \(-0.433524\pi\) |
0.978272 | − | 0.207327i | \(-0.0664763\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −11.2208 | − | 11.2208i | −0.436437 | − | 0.436437i | 0.454374 | − | 0.890811i | \(-0.349863\pi\) |
−0.890811 | + | 0.454374i | \(0.849863\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −5.13709 | − | 5.13709i | −0.199508 | − | 0.199508i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 3.22560 | + | 8.04639i | 0.125083 | + | 0.312026i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 8.27109i | − | 0.320258i | ||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.920946 | − | 0.920946i | −0.0356058 | − | 0.0356058i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 21.7757i | 0.840640i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −29.2965 | − | 29.2965i | −1.12930 | − | 1.12930i | −0.990291 | − | 0.139006i | \(-0.955609\pi\) |
−0.139006 | − | 0.990291i | \(-0.544391\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −11.9336 | − | 12.4925i | −0.459325 | − | 0.480837i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 2.74511 | 0.105503 | 0.0527516 | − | 0.998608i | \(-0.483201\pi\) | ||||
0.0527516 | + | 0.998608i | \(0.483201\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | − | 20.0191i | − | 0.768261i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 9.60850i | − | 0.368199i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 33.0796 | 1.26576 | 0.632878 | − | 0.774251i | \(-0.281873\pi\) | ||||
0.632878 | + | 0.774251i | \(0.281873\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.76301 | + | 1.60936i | 0.143777 | + | 0.0614905i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 5.98647 | + | 5.98647i | 0.228398 | + | 0.228398i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | − | 10.6364i | − | 0.405214i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 30.8216 | + | 30.8216i | 1.17251 | + | 1.17251i | 0.981610 | + | 0.190899i | \(0.0611404\pi\) |
0.190899 | + | 0.981610i | \(0.438860\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | − | 29.1428i | − | 1.10704i | ||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −25.0458 | − | 10.7116i | −0.950043 | − | 0.406314i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −20.6338 | − | 20.6338i | −0.781561 | − | 0.781561i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −0.312890 | − | 0.312890i | −0.0118346 | − | 0.0118346i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −22.1242 | + | 22.1242i | −0.835619 | + | 0.835619i | −0.988279 | − | 0.152660i | \(-0.951216\pi\) |
0.152660 | + | 0.988279i | \(0.451216\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.10562 | − | 3.10562i | 0.117131 | − | 0.117131i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 2.08358 | − | 4.87183i | 0.0784723 | − | 0.183484i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −41.9440 | −1.57747 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −7.09244 | + | 7.09244i | −0.266362 | + | 0.266362i | −0.827632 | − | 0.561270i | \(-0.810313\pi\) |
0.561270 | + | 0.827632i | \(0.310313\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 36.9726 | 1.38658 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 11.6812 | − | 11.6812i | 0.437466 | − | 0.437466i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.00651 | + | 11.7062i | −0.187233 | + | 0.437788i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 5.03628i | 0.188083i | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −30.2949 | −1.12981 | −0.564905 | − | 0.825156i | \(-0.691087\pi\) | ||||
−0.564905 | + | 0.825156i | \(0.691087\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 21.1349 | 0.787104 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | − | 3.48320i | − | 0.129542i | ||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −5.90590 | − | 0.135136i | −0.219340 | − | 0.00501883i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −15.9503 | + | 15.9503i | −0.591566 | + | 0.591566i | −0.938054 | − | 0.346489i | \(-0.887374\pi\) |
0.346489 | + | 0.938054i | \(0.387374\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 8.69055 | 0.321872 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −3.45657 | + | 3.45657i | −0.127846 | + | 0.127846i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 35.8535 | 1.32428 | 0.662140 | − | 0.749380i | \(-0.269648\pi\) | ||||
0.662140 | + | 0.749380i | \(0.269648\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 11.5907 | − | 4.64642i | 0.427529 | − | 0.171386i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −3.40147 | + | 3.40147i | −0.125295 | + | 0.125295i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 21.4532 | − | 21.4532i | 0.789168 | − | 0.789168i | −0.192190 | − | 0.981358i | \(-0.561559\pi\) |
0.981358 | + | 0.192190i | \(0.0615590\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −0.863157 | − | 0.863157i | −0.0317089 | − | 0.0317089i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −13.0311 | − | 13.0311i | −0.478063 | − | 0.478063i | 0.426449 | − | 0.904512i | \(-0.359765\pi\) |
−0.904512 | + | 0.426449i | \(0.859765\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.100242 | − | 0.234385i | 0.00367258 | − | 0.00858722i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 7.23036i | 0.264545i | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −46.6836 | − | 46.6836i | −1.70578 | − | 1.70578i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 22.4879i | 0.820595i | 0.911952 | + | 0.410297i | \(0.134575\pi\) | ||||
−0.911952 | + | 0.410297i | \(0.865425\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 9.06387 | + | 9.06387i | 0.330306 | + | 0.330306i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −6.74952 | + | 2.70571i | −0.245640 | + | 0.0984710i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 15.8781 | 0.577100 | 0.288550 | − | 0.957465i | \(-0.406827\pi\) | ||||
0.288550 | + | 0.957465i | \(0.406827\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 11.9210i | 0.432705i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 19.5227i | 0.707696i | 0.935303 | + | 0.353848i | \(0.115127\pi\) | ||||
−0.935303 | + | 0.353848i | \(0.884873\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −72.9184 | −2.63982 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 13.2641 | − | 31.0142i | 0.479566 | − | 1.12132i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 8.55524 | + | 8.55524i | 0.308912 | + | 0.308912i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8.03843i | 0.289873i | 0.989441 | + | 0.144937i | \(0.0462978\pi\) | ||||
−0.989441 | + | 0.144937i | \(0.953702\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −2.21946 | − | 2.21946i | −0.0799320 | − | 0.0799320i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 40.5118i | 1.45711i | 0.684988 | + | 0.728554i | \(0.259807\pi\) | ||||
−0.684988 | + | 0.728554i | \(0.740193\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −8.15005 | − | 8.53175i | −0.292758 | − | 0.306470i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −7.91977 | − | 7.91977i | −0.284120 | − | 0.284120i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −3.46698 | − | 3.46698i | −0.124217 | − | 0.124217i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.57542 | − | 4.57542i | 0.163721 | − | 0.163721i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −2.88668 | + | 2.88668i | −0.103161 | + | 0.103161i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −7.54352 | − | 18.8176i | −0.269240 | − | 0.671631i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −15.8333 | −0.564396 | −0.282198 | − | 0.959356i | \(-0.591063\pi\) | ||||
−0.282198 | + | 0.959356i | \(0.591063\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 4.17930 | − | 4.17930i | 0.148787 | − | 0.148787i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −4.89868 | −0.174177 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −11.4194 | + | 11.4194i | −0.405513 | + | 0.405513i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −6.60224 | + | 2.64667i | −0.234157 | + | 0.0938678i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 10.2670i | 0.363674i | 0.983329 | + | 0.181837i | \(0.0582044\pi\) | ||||
−0.983329 | + | 0.181837i | \(0.941796\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 22.1811 | 0.784710 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −30.5362 | −1.07895 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 17.2293i | 0.608010i | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 58.2766 | − | 23.3616i | 2.05398 | − | 0.823388i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −0.737538 | + | 0.737538i | −0.0259626 | + | 0.0259626i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −9.16442 | −0.322204 | −0.161102 | − | 0.986938i | \(-0.551505\pi\) | ||||
−0.161102 | + | 0.986938i | \(0.551505\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 22.1702 | − | 22.1702i | 0.778502 | − | 0.778502i | −0.201074 | − | 0.979576i | \(-0.564443\pi\) |
0.979576 | + | 0.201074i | \(0.0644432\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −1.71827 | −0.0602625 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 3.27245 | + | 8.16326i | 0.114629 | + | 0.285947i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.580788 | + | 0.580788i | −0.0203192 | + | 0.0203192i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 15.2827 | − | 15.2827i | 0.534022 | − | 0.534022i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 13.3258 | + | 13.3258i | 0.465074 | + | 0.465074i | 0.900314 | − | 0.435240i | \(-0.143337\pi\) |
−0.435240 | + | 0.900314i | \(0.643337\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 34.7796 | + | 34.7796i | 1.21234 | + | 1.21234i | 0.970255 | + | 0.242084i | \(0.0778308\pi\) |
0.242084 | + | 0.970255i | \(0.422169\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 8.51209 | + | 0.194769i | 0.296353 | + | 0.00678100i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 16.5717i | 0.576253i | 0.957592 | + | 0.288127i | \(0.0930324\pi\) | ||||
−0.957592 | + | 0.288127i | \(0.906968\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −11.9869 | − | 11.9869i | −0.416321 | − | 0.416321i | 0.467613 | − | 0.883933i | \(-0.345114\pi\) |
−0.883933 | + | 0.467613i | \(0.845114\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | − | 8.48807i | − | 0.294448i | ||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 36.9631 | + | 36.9631i | 1.28070 | + | 1.28070i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 10.1123 | − | 23.6445i | 0.349949 | − | 0.818252i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −8.15370 | −0.281833 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 4.44215i | 0.153360i | 0.997056 | + | 0.0766800i | \(0.0244320\pi\) | ||||
−0.997056 | + | 0.0766800i | \(0.975568\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | − | 27.6041i | − | 0.951865i | ||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −4.43543 | −0.152764 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 18.2173 | − | 7.30287i | 0.626695 | − | 0.251226i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −9.42281 | − | 9.42281i | −0.323772 | − | 0.323772i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 15.5478i | 0.533599i | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −22.4926 | − | 22.4926i | −0.771038 | − | 0.771038i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 35.6748i | 1.22148i | 0.791830 | + | 0.610742i | \(0.209129\pi\) | ||||
−0.791830 | + | 0.610742i | \(0.790871\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.22870 | − | 5.21114i | 0.0762199 | − | 0.178217i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −13.8568 | − | 13.8568i | −0.473340 | − | 0.473340i | 0.429654 | − | 0.902994i | \(-0.358636\pi\) |
−0.902994 | + | 0.429654i | \(0.858636\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 19.4217 | + | 19.4217i | 0.662660 | + | 0.662660i | 0.956006 | − | 0.293346i | \(-0.0947690\pi\) |
−0.293346 | + | 0.956006i | \(0.594769\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −8.84130 | + | 8.84130i | −0.301311 | + | 0.301311i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −9.22041 | + | 9.22041i | −0.313866 | + | 0.313866i | −0.846405 | − | 0.532539i | \(-0.821238\pi\) |
0.532539 | + | 0.846405i | \(0.321238\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −14.2532 | + | 5.71377i | −0.484625 | + | 0.194274i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −9.89018 | −0.335888 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −27.6244 | + | 27.6244i | −0.937093 | + | 0.937093i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.56753 | −0.120881 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −9.25500 | + | 9.25500i | −0.313234 | + | 0.313234i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −15.7290 | − | 41.9936i | −0.531738 | − | 1.41964i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | − | 10.4267i | − | 0.352084i | −0.984383 | − | 0.176042i | \(-0.943670\pi\) | ||
0.984383 | − | 0.176042i | \(-0.0563295\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −8.68236 | −0.292849 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −12.7405 | −0.429239 | −0.214619 | − | 0.976698i | \(-0.568851\pi\) | ||||
−0.214619 | + | 0.976698i | \(0.568851\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 27.9073i | − | 0.939156i | −0.882891 | − | 0.469578i | \(-0.844406\pi\) | ||
0.882891 | − | 0.469578i | \(-0.155594\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 3.18161 | − | 7.43924i | 0.106949 | − | 0.250067i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −41.7449 | + | 41.7449i | −1.40166 | + | 1.40166i | −0.606811 | + | 0.794846i | \(0.707552\pi\) |
−0.794846 | + | 0.606811i | \(0.792448\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 66.9004 | 2.24377 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −11.2530 | + | 11.2530i | −0.376989 | + | 0.376989i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 3.72696 | 0.124718 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 19.5373 | − | 45.6822i | 0.653061 | − | 1.52699i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −6.25148 | + | 6.25148i | −0.208731 | + | 0.208731i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −1.97145 | + | 1.97145i | −0.0657516 | + | 0.0657516i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −21.0548 | − | 21.0548i | −0.701437 | − | 0.701437i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 1.48109 | + | 1.48109i | 0.0492877 | + | 0.0492877i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 40.4474 | + | 17.2985i | 1.34452 | + | 0.575022i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 26.7614i | 0.888597i | 0.895879 | + | 0.444298i | \(0.146547\pi\) | ||||
−0.895879 | + | 0.444298i | \(0.853453\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 19.3911 | + | 19.3911i | 0.643163 | + | 0.643163i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 19.2403i | 0.637459i | 0.947846 | + | 0.318729i | \(0.103256\pi\) | ||||
−0.947846 | + | 0.318729i | \(0.896744\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.40222 | − | 5.40222i | −0.178787 | − | 0.178787i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 9.92975 | + | 4.24675i | 0.328267 | + | 0.140393i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −90.6165 | −2.99242 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 42.6903i | 1.40822i | 0.710090 | + | 0.704111i | \(0.248654\pi\) | ||||
−0.710090 | + | 0.704111i | \(0.751346\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | − | 13.8942i | − | 0.457828i | ||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 4.79878 | 0.157954 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −16.4282 | + | 15.6932i | −0.540155 | + | 0.515989i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −9.77085 | − | 9.77085i | −0.320917 | − | 0.320917i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | − | 5.58037i | − | 0.183086i | −0.995801 | − | 0.0915430i | \(-0.970820\pi\) | ||
0.995801 | − | 0.0915430i | \(-0.0291799\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.21070 | + | 6.21070i | 0.203548 | + | 0.203548i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | − | 6.63132i | − | 0.217100i | ||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 13.2621 | + | 33.0829i | 0.433717 | + | 1.08193i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 41.0680 | + | 41.0680i | 1.34163 | + | 1.34163i | 0.894435 | + | 0.447197i | \(0.147578\pi\) |
0.447197 | + | 0.894435i | \(0.352422\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −12.7118 | − | 12.7118i | −0.414834 | − | 0.414834i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −31.5476 | + | 31.5476i | −1.02842 | + | 1.02842i | −0.0288377 | + | 0.999584i | \(0.509181\pi\) |
−0.999584 | + | 0.0288377i | \(0.990819\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −25.1098 | + | 25.1098i | −0.817689 | + | 0.817689i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −28.4924 | − | 12.1856i | −0.926857 | − | 0.396398i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 34.7892 | 1.13050 | 0.565248 | − | 0.824921i | \(-0.308780\pi\) | ||||
0.565248 | + | 0.824921i | \(0.308780\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −9.03522 | + | 9.03522i | −0.293296 | + | 0.293296i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −14.6394 | −0.474715 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 26.7047 | − | 26.7047i | 0.865050 | − | 0.865050i | −0.126870 | − | 0.991919i | \(-0.540493\pi\) |
0.991919 | + | 0.126870i | \(0.0404931\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 8.60247 | + | 21.4592i | 0.278369 | + | 0.694405i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | − | 2.01191i | − | 0.0650360i | ||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 7.34112 | 0.237057 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 25.4314 | 0.820369 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 43.1645i | 1.39096i | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −38.4027 | − | 16.4241i | −1.23623 | − | 0.528709i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 12.8711 | − | 12.8711i | 0.413906 | − | 0.413906i | −0.469191 | − | 0.883097i | \(-0.655454\pi\) |
0.883097 | + | 0.469191i | \(0.155454\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −3.41725 | −0.109778 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 23.9028 | − | 23.9028i | 0.767078 | − | 0.767078i | −0.210513 | − | 0.977591i | \(-0.567513\pi\) |
0.977591 | + | 0.210513i | \(0.0675134\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −48.8610 | −1.56641 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 4.36168 | + | 4.56595i | 0.139685 | + | 0.146228i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 2.71449 | − | 2.71449i | 0.0868441 | − | 0.0868441i | −0.662350 | − | 0.749194i | \(-0.730441\pi\) |
0.749194 | + | 0.662350i | \(0.230441\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 22.8154 | − | 22.8154i | 0.729183 | − | 0.729183i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 33.7109 | + | 33.7109i | 1.07630 | + | 1.07630i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 13.7542 | + | 13.7542i | 0.438692 | + | 0.438692i | 0.891572 | − | 0.452880i | \(-0.149603\pi\) |
−0.452880 | + | 0.891572i | \(0.649603\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −31.6386 | + | 12.6831i | −1.00809 | + | 0.404117i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | − | 9.50428i | − | 0.302525i | ||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 4.20640 | + | 4.20640i | 0.133756 | + | 0.133756i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 26.5971i | 0.844883i | 0.906390 | + | 0.422442i | \(0.138827\pi\) | ||||
−0.906390 | + | 0.422442i | \(0.861173\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −12.1492 | − | 12.1492i | −0.385545 | − | 0.385545i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −4.14979 | − | 10.3518i | −0.131557 | − | 0.328175i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −25.4590 | −0.806295 | −0.403148 | − | 0.915135i | \(-0.632084\pi\) | ||||
−0.403148 | + | 0.915135i | \(0.632084\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 15.7002i | 0.496733i |
(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 | 320.2.j.b.143.5 | 18 | ||
4.3 | odd | 2 | 80.2.j.b.43.7 | ✓ | 18 | ||
5.2 | odd | 4 | 320.2.s.b.207.5 | 18 | |||
5.3 | odd | 4 | 1600.2.s.d.207.5 | 18 | |||
5.4 | even | 2 | 1600.2.j.d.143.5 | 18 | |||
8.3 | odd | 2 | 640.2.j.d.543.5 | 18 | |||
8.5 | even | 2 | 640.2.j.c.543.5 | 18 | |||
12.11 | even | 2 | 720.2.bd.g.523.3 | 18 | |||
16.3 | odd | 4 | 320.2.s.b.303.5 | 18 | |||
16.5 | even | 4 | 640.2.s.d.223.5 | 18 | |||
16.11 | odd | 4 | 640.2.s.c.223.5 | 18 | |||
16.13 | even | 4 | 80.2.s.b.3.3 | yes | 18 | ||
20.3 | even | 4 | 400.2.s.d.107.7 | 18 | |||
20.7 | even | 4 | 80.2.s.b.27.3 | yes | 18 | ||
20.19 | odd | 2 | 400.2.j.d.43.3 | 18 | |||
40.27 | even | 4 | 640.2.s.d.287.5 | 18 | |||
40.37 | odd | 4 | 640.2.s.c.287.5 | 18 | |||
48.29 | odd | 4 | 720.2.z.g.163.7 | 18 | |||
60.47 | odd | 4 | 720.2.z.g.667.7 | 18 | |||
80.3 | even | 4 | 1600.2.j.d.1007.5 | 18 | |||
80.13 | odd | 4 | 400.2.j.d.307.3 | 18 | |||
80.19 | odd | 4 | 1600.2.s.d.943.5 | 18 | |||
80.27 | even | 4 | 640.2.j.c.607.5 | 18 | |||
80.29 | even | 4 | 400.2.s.d.243.7 | 18 | |||
80.37 | odd | 4 | 640.2.j.d.607.5 | 18 | |||
80.67 | even | 4 | inner | 320.2.j.b.47.5 | 18 | ||
80.77 | odd | 4 | 80.2.j.b.67.7 | yes | 18 | ||
240.77 | even | 4 | 720.2.bd.g.307.3 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
80.2.j.b.43.7 | ✓ | 18 | 4.3 | odd | 2 | ||
80.2.j.b.67.7 | yes | 18 | 80.77 | odd | 4 | ||
80.2.s.b.3.3 | yes | 18 | 16.13 | even | 4 | ||
80.2.s.b.27.3 | yes | 18 | 20.7 | even | 4 | ||
320.2.j.b.47.5 | 18 | 80.67 | even | 4 | inner | ||
320.2.j.b.143.5 | 18 | 1.1 | even | 1 | trivial | ||
320.2.s.b.207.5 | 18 | 5.2 | odd | 4 | |||
320.2.s.b.303.5 | 18 | 16.3 | odd | 4 | |||
400.2.j.d.43.3 | 18 | 20.19 | odd | 2 | |||
400.2.j.d.307.3 | 18 | 80.13 | odd | 4 | |||
400.2.s.d.107.7 | 18 | 20.3 | even | 4 | |||
400.2.s.d.243.7 | 18 | 80.29 | even | 4 | |||
640.2.j.c.543.5 | 18 | 8.5 | even | 2 | |||
640.2.j.c.607.5 | 18 | 80.27 | even | 4 | |||
640.2.j.d.543.5 | 18 | 8.3 | odd | 2 | |||
640.2.j.d.607.5 | 18 | 80.37 | odd | 4 | |||
640.2.s.c.223.5 | 18 | 16.11 | odd | 4 | |||
640.2.s.c.287.5 | 18 | 40.37 | odd | 4 | |||
640.2.s.d.223.5 | 18 | 16.5 | even | 4 | |||
640.2.s.d.287.5 | 18 | 40.27 | even | 4 | |||
720.2.z.g.163.7 | 18 | 48.29 | odd | 4 | |||
720.2.z.g.667.7 | 18 | 60.47 | odd | 4 | |||
720.2.bd.g.307.3 | 18 | 240.77 | even | 4 | |||
720.2.bd.g.523.3 | 18 | 12.11 | even | 2 | |||
1600.2.j.d.143.5 | 18 | 5.4 | even | 2 | |||
1600.2.j.d.1007.5 | 18 | 80.3 | even | 4 | |||
1600.2.s.d.207.5 | 18 | 5.3 | odd | 4 | |||
1600.2.s.d.943.5 | 18 | 80.19 | odd | 4 |