Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,3,Mod(557,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.557");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.s (of order \(6\), 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: | \(24.0327593166\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{25}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 863.4 | ||
Root | \(0.258819 - 0.965926i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.863 |
Dual form | 882.3.s.f.557.4 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.22474 | + | 0.707107i | 0.612372 | + | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.00000 | + | 1.73205i | 0.250000 | + | 0.433013i | ||||
\(5\) | 1.73205 | + | 1.00000i | 0.346410 | + | 0.200000i | 0.663103 | − | 0.748528i | \(-0.269239\pi\) |
−0.316693 | + | 0.948528i | \(0.602572\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 2.82843i | 0.353553i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.41421 | + | 2.44949i | 0.141421 | + | 0.244949i | ||||
\(11\) | 2.44949 | − | 1.41421i | 0.222681 | − | 0.128565i | −0.384510 | − | 0.923121i | \(-0.625630\pi\) |
0.607191 | + | 0.794556i | \(0.292296\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 12.7279 | 0.979071 | 0.489535 | − | 0.871983i | \(-0.337166\pi\) | ||||
0.489535 | + | 0.871983i | \(0.337166\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.00000 | + | 3.46410i | −0.125000 | + | 0.216506i | ||||
\(17\) | 19.0526 | − | 11.0000i | 1.12074 | − | 0.647059i | 0.179149 | − | 0.983822i | \(-0.442665\pi\) |
0.941589 | + | 0.336763i | \(0.109332\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.82843 | − | 4.89898i | 0.148865 | − | 0.257841i | −0.781944 | − | 0.623349i | \(-0.785771\pi\) |
0.930808 | + | 0.365508i | \(0.119105\pi\) | |||||||
\(20\) | 4.00000i | 0.200000i | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.00000 | 0.181818 | ||||||||
\(23\) | 2.44949 | + | 1.41421i | 0.106500 | + | 0.0614875i | 0.552304 | − | 0.833643i | \(-0.313749\pi\) |
−0.445804 | + | 0.895131i | \(0.647082\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −10.5000 | − | 18.1865i | −0.420000 | − | 0.727461i | ||||
\(26\) | 15.5885 | + | 9.00000i | 0.599556 | + | 0.346154i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 35.3553i | 1.21915i | 0.792729 | + | 0.609575i | \(0.208660\pi\) | ||||
−0.792729 | + | 0.609575i | \(0.791340\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 16.9706 | + | 29.3939i | 0.547438 | + | 0.948190i | 0.998449 | + | 0.0556715i | \(0.0177300\pi\) |
−0.451012 | + | 0.892518i | \(0.648937\pi\) | |||||||
\(32\) | −4.89898 | + | 2.82843i | −0.153093 | + | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 31.1127 | 0.915079 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −32.0000 | + | 55.4256i | −0.864865 | + | 1.49799i | 0.00231643 | + | 0.999997i | \(0.499263\pi\) |
−0.867181 | + | 0.497993i | \(0.834071\pi\) | |||||||
\(38\) | 6.92820 | − | 4.00000i | 0.182321 | − | 0.105263i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.82843 | + | 4.89898i | −0.0707107 | + | 0.122474i | ||||
\(41\) | − | 20.0000i | − | 0.487805i | −0.969800 | − | 0.243902i | \(-0.921572\pi\) | ||
0.969800 | − | 0.243902i | \(-0.0784277\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 44.0000 | 1.02326 | 0.511628 | − | 0.859207i | \(-0.329043\pi\) | ||||
0.511628 | + | 0.859207i | \(0.329043\pi\) | |||||||
\(44\) | 4.89898 | + | 2.82843i | 0.111340 | + | 0.0642824i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.00000 | + | 3.46410i | 0.0434783 | + | 0.0753066i | ||||
\(47\) | 58.8897 | + | 34.0000i | 1.25297 | + | 0.723404i | 0.971699 | − | 0.236223i | \(-0.0759097\pi\) |
0.281274 | + | 0.959627i | \(0.409243\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | − | 29.6985i | − | 0.593970i | ||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 12.7279 | + | 22.0454i | 0.244768 | + | 0.423950i | ||||
\(53\) | −15.9217 | + | 9.19239i | −0.300409 | + | 0.173441i | −0.642627 | − | 0.766179i | \(-0.722155\pi\) |
0.342218 | + | 0.939621i | \(0.388822\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.65685 | 0.102852 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −25.0000 | + | 43.3013i | −0.431034 | + | 0.746574i | ||||
\(59\) | 86.6025 | − | 50.0000i | 1.46784 | − | 0.847458i | 0.468488 | − | 0.883470i | \(-0.344799\pi\) |
0.999351 | + | 0.0360121i | \(0.0114655\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −26.1630 | + | 45.3156i | −0.428901 | + | 0.742878i | −0.996776 | − | 0.0802368i | \(-0.974432\pi\) |
0.567875 | + | 0.823115i | \(0.307766\pi\) | |||||||
\(62\) | 48.0000i | 0.774194i | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −8.00000 | −0.125000 | ||||||||
\(65\) | 22.0454 | + | 12.7279i | 0.339160 | + | 0.195814i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −60.0000 | − | 103.923i | −0.895522 | − | 1.55109i | −0.833157 | − | 0.553037i | \(-0.813469\pi\) |
−0.0623656 | − | 0.998053i | \(-0.519864\pi\) | |||||||
\(68\) | 38.1051 | + | 22.0000i | 0.560369 | + | 0.323529i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 8.48528i | − | 0.119511i | −0.998213 | − | 0.0597555i | \(-0.980968\pi\) | ||
0.998213 | − | 0.0597555i | \(-0.0190321\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 37.4767 | + | 64.9115i | 0.513379 | + | 0.889198i | 0.999880 | + | 0.0155181i | \(0.00493978\pi\) |
−0.486501 | + | 0.873680i | \(0.661727\pi\) | |||||||
\(74\) | −78.3837 | + | 45.2548i | −1.05924 | + | 0.611552i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 11.3137 | 0.148865 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −46.0000 | + | 79.6743i | −0.582278 | + | 1.00854i | 0.412930 | + | 0.910763i | \(0.364505\pi\) |
−0.995209 | + | 0.0977733i | \(0.968828\pi\) | |||||||
\(80\) | −6.92820 | + | 4.00000i | −0.0866025 | + | 0.0500000i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 14.1421 | − | 24.4949i | 0.172465 | − | 0.298718i | ||||
\(83\) | − | 112.000i | − | 1.34940i | −0.738093 | − | 0.674699i | \(-0.764274\pi\) | ||
0.738093 | − | 0.674699i | \(-0.235726\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 44.0000 | 0.517647 | ||||||||
\(86\) | 53.8888 | + | 31.1127i | 0.626614 | + | 0.361776i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.00000 | + | 6.92820i | 0.0454545 | + | 0.0787296i | ||||
\(89\) | −17.3205 | − | 10.0000i | −0.194612 | − | 0.112360i | 0.399528 | − | 0.916721i | \(-0.369174\pi\) |
−0.594140 | + | 0.804362i | \(0.702508\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 5.65685i | 0.0614875i | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 48.0833 | + | 83.2827i | 0.511524 | + | 0.885986i | ||||
\(95\) | 9.79796 | − | 5.65685i | 0.103136 | − | 0.0595458i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −26.8701 | −0.277011 | −0.138505 | − | 0.990362i | \(-0.544230\pi\) | ||||
−0.138505 | + | 0.990362i | \(0.544230\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 21.0000 | − | 36.3731i | 0.210000 | − | 0.363731i | ||||
\(101\) | 72.7461 | − | 42.0000i | 0.720259 | − | 0.415842i | −0.0945892 | − | 0.995516i | \(-0.530154\pi\) |
0.814848 | + | 0.579675i | \(0.196820\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −79.1960 | + | 137.171i | −0.768893 | + | 1.33176i | 0.169271 | + | 0.985570i | \(0.445859\pi\) |
−0.938164 | + | 0.346192i | \(0.887475\pi\) | |||||||
\(104\) | 36.0000i | 0.346154i | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −26.0000 | −0.245283 | ||||||||
\(107\) | 120.025 | + | 69.2965i | 1.12173 | + | 0.647631i | 0.941842 | − | 0.336057i | \(-0.109093\pi\) |
0.179887 | + | 0.983687i | \(0.442427\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −35.0000 | − | 60.6218i | −0.321101 | − | 0.556163i | 0.659615 | − | 0.751604i | \(-0.270720\pi\) |
−0.980715 | + | 0.195441i | \(0.937386\pi\) | |||||||
\(110\) | 6.92820 | + | 4.00000i | 0.0629837 | + | 0.0363636i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 21.2132i | − | 0.187727i | −0.995585 | − | 0.0938637i | \(-0.970078\pi\) | ||
0.995585 | − | 0.0938637i | \(-0.0299218\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.82843 | + | 4.89898i | 0.0245950 | + | 0.0425998i | ||||
\(116\) | −61.2372 | + | 35.3553i | −0.527907 | + | 0.304787i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 141.421 | 1.19849 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −56.5000 | + | 97.8609i | −0.466942 | + | 0.808768i | ||||
\(122\) | −64.0859 | + | 37.0000i | −0.525294 | + | 0.303279i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −33.9411 | + | 58.7878i | −0.273719 | + | 0.474095i | ||||
\(125\) | − | 92.0000i | − | 0.736000i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −20.0000 | −0.157480 | −0.0787402 | − | 0.996895i | \(-0.525090\pi\) | ||||
−0.0787402 | + | 0.996895i | \(0.525090\pi\) | |||||||
\(128\) | −9.79796 | − | 5.65685i | −0.0765466 | − | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 18.0000 | + | 31.1769i | 0.138462 | + | 0.239822i | ||||
\(131\) | −124.708 | − | 72.0000i | −0.951967 | − | 0.549618i | −0.0582755 | − | 0.998301i | \(-0.518560\pi\) |
−0.893691 | + | 0.448682i | \(0.851894\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 169.706i | − | 1.26646i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 31.1127 | + | 53.8888i | 0.228770 | + | 0.396241i | ||||
\(137\) | 172.689 | − | 99.7021i | 1.26050 | − | 0.727752i | 0.287332 | − | 0.957831i | \(-0.407232\pi\) |
0.973172 | + | 0.230079i | \(0.0738984\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.65685 | −0.0406968 | −0.0203484 | − | 0.999793i | \(-0.506478\pi\) | ||||
−0.0203484 | + | 0.999793i | \(0.506478\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.00000 | − | 10.3923i | 0.0422535 | − | 0.0731852i | ||||
\(143\) | 31.1769 | − | 18.0000i | 0.218020 | − | 0.125874i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −35.3553 | + | 61.2372i | −0.243830 | + | 0.422326i | ||||
\(146\) | 106.000i | 0.726027i | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −128.000 | −0.864865 | ||||||||
\(149\) | 15.9217 | + | 9.19239i | 0.106857 | + | 0.0616939i | 0.552476 | − | 0.833529i | \(-0.313683\pi\) |
−0.445619 | + | 0.895223i | \(0.647016\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 32.0000 | + | 55.4256i | 0.211921 | + | 0.367057i | 0.952316 | − | 0.305115i | \(-0.0986949\pi\) |
−0.740395 | + | 0.672172i | \(0.765362\pi\) | |||||||
\(152\) | 13.8564 | + | 8.00000i | 0.0911606 | + | 0.0526316i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 67.8823i | 0.437950i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 81.3173 | + | 140.846i | 0.517944 | + | 0.897106i | 0.999783 | + | 0.0208459i | \(0.00663595\pi\) |
−0.481838 | + | 0.876260i | \(0.660031\pi\) | |||||||
\(158\) | −112.677 | + | 65.0538i | −0.713143 | + | 0.411733i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −11.3137 | −0.0707107 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 112.000 | − | 193.990i | 0.687117 | − | 1.19012i | −0.285650 | − | 0.958334i | \(-0.592209\pi\) |
0.972767 | − | 0.231787i | \(-0.0744572\pi\) | |||||||
\(164\) | 34.6410 | − | 20.0000i | 0.211226 | − | 0.121951i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 79.1960 | − | 137.171i | 0.477084 | − | 0.826334i | ||||
\(167\) | − | 292.000i | − | 1.74850i | −0.485473 | − | 0.874251i | \(-0.661353\pi\) | ||
0.485473 | − | 0.874251i | \(-0.338647\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.00000 | −0.0414201 | ||||||||
\(170\) | 53.8888 | + | 31.1127i | 0.316993 | + | 0.183016i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 44.0000 | + | 76.2102i | 0.255814 | + | 0.443083i | ||||
\(173\) | −135.100 | − | 78.0000i | −0.780925 | − | 0.450867i | 0.0558332 | − | 0.998440i | \(-0.482218\pi\) |
−0.836758 | + | 0.547573i | \(0.815552\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 11.3137i | 0.0642824i | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −14.1421 | − | 24.4949i | −0.0794502 | − | 0.137612i | ||||
\(179\) | −80.8332 | + | 46.6690i | −0.451582 | + | 0.260721i | −0.708498 | − | 0.705713i | \(-0.750627\pi\) |
0.256916 | + | 0.966434i | \(0.417294\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −190.919 | −1.05480 | −0.527400 | − | 0.849617i | \(-0.676833\pi\) | ||||
−0.527400 | + | 0.849617i | \(0.676833\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.00000 | + | 6.92820i | −0.0217391 | + | 0.0376533i | ||||
\(185\) | −110.851 | + | 64.0000i | −0.599196 | + | 0.345946i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 31.1127 | − | 53.8888i | 0.166378 | − | 0.288175i | ||||
\(188\) | 136.000i | 0.723404i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 16.0000 | 0.0842105 | ||||||||
\(191\) | −115.126 | − | 66.4680i | −0.602754 | − | 0.348000i | 0.167370 | − | 0.985894i | \(-0.446472\pi\) |
−0.770124 | + | 0.637894i | \(0.779806\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −61.0000 | − | 105.655i | −0.316062 | − | 0.547436i | 0.663601 | − | 0.748087i | \(-0.269027\pi\) |
−0.979663 | + | 0.200651i | \(0.935694\pi\) | |||||||
\(194\) | −32.9090 | − | 19.0000i | −0.169634 | − | 0.0979381i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 7.07107i | − | 0.0358937i | −0.999839 | − | 0.0179469i | \(-0.994287\pi\) | ||
0.999839 | − | 0.0179469i | \(-0.00571297\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −186.676 | − | 323.333i | −0.938071 | − | 1.62479i | −0.769063 | − | 0.639172i | \(-0.779277\pi\) |
−0.169008 | − | 0.985615i | \(-0.554056\pi\) | |||||||
\(200\) | 51.4393 | − | 29.6985i | 0.257196 | − | 0.148492i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 118.794 | 0.588089 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 20.0000 | − | 34.6410i | 0.0975610 | − | 0.168981i | ||||
\(206\) | −193.990 | + | 112.000i | −0.941698 | + | 0.543689i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −25.4558 | + | 44.0908i | −0.122384 | + | 0.211975i | ||||
\(209\) | − | 16.0000i | − | 0.0765550i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −12.0000 | −0.0568720 | −0.0284360 | − | 0.999596i | \(-0.509053\pi\) | ||||
−0.0284360 | + | 0.999596i | \(0.509053\pi\) | |||||||
\(212\) | −31.8434 | − | 18.3848i | −0.150205 | − | 0.0867206i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 98.0000 | + | 169.741i | 0.457944 | + | 0.793182i | ||||
\(215\) | 76.2102 | + | 44.0000i | 0.354466 | + | 0.204651i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | − | 98.9949i | − | 0.454105i | ||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 5.65685 | + | 9.79796i | 0.0257130 | + | 0.0445362i | ||||
\(221\) | 242.499 | − | 140.007i | 1.09728 | − | 0.633516i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −203.647 | −0.913214 | −0.456607 | − | 0.889668i | \(-0.650935\pi\) | ||||
−0.456607 | + | 0.889668i | \(0.650935\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 15.0000 | − | 25.9808i | 0.0663717 | − | 0.114959i | ||||
\(227\) | 176.669 | − | 102.000i | 0.778278 | − | 0.449339i | −0.0575414 | − | 0.998343i | \(-0.518326\pi\) |
0.835820 | + | 0.549004i | \(0.184993\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 23.3345 | − | 40.4166i | 0.101897 | − | 0.176492i | −0.810569 | − | 0.585643i | \(-0.800842\pi\) |
0.912466 | + | 0.409152i | \(0.134175\pi\) | |||||||
\(230\) | 8.00000i | 0.0347826i | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −100.000 | −0.431034 | ||||||||
\(233\) | −268.219 | − | 154.856i | −1.15116 | − | 0.664620i | −0.201987 | − | 0.979388i | \(-0.564740\pi\) |
−0.949168 | + | 0.314769i | \(0.898073\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 68.0000 | + | 117.779i | 0.289362 | + | 0.501189i | ||||
\(236\) | 173.205 | + | 100.000i | 0.733920 | + | 0.423729i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 42.4264i | 0.177516i | 0.996053 | + | 0.0887582i | \(0.0282898\pi\) | ||||
−0.996053 | + | 0.0887582i | \(0.971710\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −188.798 | − | 327.007i | −0.783392 | − | 1.35688i | −0.929955 | − | 0.367674i | \(-0.880154\pi\) |
0.146563 | − | 0.989201i | \(-0.453179\pi\) | |||||||
\(242\) | −138.396 | + | 79.9031i | −0.571885 | + | 0.330178i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −104.652 | −0.428901 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 36.0000 | − | 62.3538i | 0.145749 | − | 0.252445i | ||||
\(248\) | −83.1384 | + | 48.0000i | −0.335236 | + | 0.193548i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 65.0538 | − | 112.677i | 0.260215 | − | 0.450706i | ||||
\(251\) | 332.000i | 1.32271i | 0.750073 | + | 0.661355i | \(0.230018\pi\) | ||||
−0.750073 | + | 0.661355i | \(0.769982\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.00000 | 0.0316206 | ||||||||
\(254\) | −24.4949 | − | 14.1421i | −0.0964366 | − | 0.0556777i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.00000 | − | 13.8564i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −155.885 | − | 90.0000i | −0.606555 | − | 0.350195i | 0.165061 | − | 0.986283i | \(-0.447218\pi\) |
−0.771616 | + | 0.636089i | \(0.780551\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 50.9117i | 0.195814i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −101.823 | − | 176.363i | −0.388639 | − | 0.673142i | ||||
\(263\) | 139.621 | − | 80.6102i | 0.530878 | − | 0.306503i | −0.210496 | − | 0.977595i | \(-0.567508\pi\) |
0.741374 | + | 0.671092i | \(0.234175\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −36.7696 | −0.138753 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 120.000 | − | 207.846i | 0.447761 | − | 0.775545i | ||||
\(269\) | −455.529 | + | 263.000i | −1.69342 | + | 0.977695i | −0.741694 | + | 0.670738i | \(0.765978\pi\) |
−0.951723 | + | 0.306957i | \(0.900689\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 214.960 | − | 372.322i | 0.793212 | − | 1.37388i | −0.130756 | − | 0.991415i | \(-0.541741\pi\) |
0.923968 | − | 0.382469i | \(-0.124926\pi\) | |||||||
\(272\) | 88.0000i | 0.323529i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 282.000 | 1.02920 | ||||||||
\(275\) | −51.4393 | − | 29.6985i | −0.187052 | − | 0.107994i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −32.0000 | − | 55.4256i | −0.115523 | − | 0.200093i | 0.802465 | − | 0.596699i | \(-0.203521\pi\) |
−0.917989 | + | 0.396606i | \(0.870188\pi\) | |||||||
\(278\) | −6.92820 | − | 4.00000i | −0.0249216 | − | 0.0143885i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 448.306i | 1.59539i | 0.603058 | + | 0.797697i | \(0.293949\pi\) | ||||
−0.603058 | + | 0.797697i | \(0.706051\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −62.2254 | − | 107.778i | −0.219878 | − | 0.380839i | 0.734893 | − | 0.678183i | \(-0.237233\pi\) |
−0.954770 | + | 0.297344i | \(0.903899\pi\) | |||||||
\(284\) | 14.6969 | − | 8.48528i | 0.0517498 | − | 0.0298778i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 50.9117 | 0.178013 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 97.5000 | − | 168.875i | 0.337370 | − | 0.584342i | ||||
\(290\) | −86.6025 | + | 50.0000i | −0.298629 | + | 0.172414i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −74.9533 | + | 129.823i | −0.256689 | + | 0.444599i | ||||
\(293\) | 284.000i | 0.969283i | 0.874713 | + | 0.484642i | \(0.161050\pi\) | ||||
−0.874713 | + | 0.484642i | \(0.838950\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 200.000 | 0.677966 | ||||||||
\(296\) | −156.767 | − | 90.5097i | −0.529619 | − | 0.305776i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 13.0000 | + | 22.5167i | 0.0436242 | + | 0.0755593i | ||||
\(299\) | 31.1769 | + | 18.0000i | 0.104271 | + | 0.0602007i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 90.5097i | 0.299701i | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 11.3137 | + | 19.5959i | 0.0372161 | + | 0.0644603i | ||||
\(305\) | −90.6311 | + | 52.3259i | −0.297151 | + | 0.171560i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −282.843 | −0.921312 | −0.460656 | − | 0.887579i | \(-0.652386\pi\) | ||||
−0.460656 | + | 0.887579i | \(0.652386\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −48.0000 | + | 83.1384i | −0.154839 | + | 0.268189i | ||||
\(311\) | 162.813 | − | 94.0000i | 0.523514 | − | 0.302251i | −0.214857 | − | 0.976645i | \(-0.568929\pi\) |
0.738371 | + | 0.674395i | \(0.235595\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 108.187 | − | 187.386i | 0.345646 | − | 0.598677i | −0.639825 | − | 0.768521i | \(-0.720993\pi\) |
0.985471 | + | 0.169844i | \(0.0543263\pi\) | |||||||
\(314\) | 230.000i | 0.732484i | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −184.000 | −0.582278 | ||||||||
\(317\) | −395.593 | − | 228.395i | −1.24793 | − | 0.720491i | −0.277231 | − | 0.960803i | \(-0.589417\pi\) |
−0.970695 | + | 0.240313i | \(0.922750\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 50.0000 | + | 86.6025i | 0.156740 | + | 0.271481i | ||||
\(320\) | −13.8564 | − | 8.00000i | −0.0433013 | − | 0.0250000i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 124.451i | − | 0.385297i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −133.643 | − | 231.477i | −0.411210 | − | 0.712236i | ||||
\(326\) | 274.343 | − | 158.392i | 0.841542 | − | 0.485865i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 56.5685 | 0.172465 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 250.000 | − | 433.013i | 0.755287 | − | 1.30820i | −0.189945 | − | 0.981795i | \(-0.560831\pi\) |
0.945232 | − | 0.326401i | \(-0.105836\pi\) | |||||||
\(332\) | 193.990 | − | 112.000i | 0.584306 | − | 0.337349i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 206.475 | − | 357.626i | 0.618189 | − | 1.07074i | ||||
\(335\) | − | 240.000i | − | 0.716418i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 86.0000 | 0.255193 | 0.127596 | − | 0.991826i | \(-0.459274\pi\) | ||||
0.127596 | + | 0.991826i | \(0.459274\pi\) | |||||||
\(338\) | −8.57321 | − | 4.94975i | −0.0253645 | − | 0.0146442i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 44.0000 | + | 76.2102i | 0.129412 | + | 0.224148i | ||||
\(341\) | 83.1384 | + | 48.0000i | 0.243808 | + | 0.140762i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 124.451i | 0.361776i | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −110.309 | − | 191.060i | −0.318811 | − | 0.552197i | ||||
\(347\) | 213.106 | − | 123.037i | 0.614137 | − | 0.354572i | −0.160446 | − | 0.987045i | \(-0.551293\pi\) |
0.774583 | + | 0.632472i | \(0.217960\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 445.477 | 1.27644 | 0.638220 | − | 0.769854i | \(-0.279671\pi\) | ||||
0.638220 | + | 0.769854i | \(0.279671\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −8.00000 | + | 13.8564i | −0.0227273 | + | 0.0393648i | ||||
\(353\) | −188.794 | + | 109.000i | −0.534826 | + | 0.308782i | −0.742979 | − | 0.669314i | \(-0.766588\pi\) |
0.208153 | + | 0.978096i | \(0.433255\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 8.48528 | − | 14.6969i | 0.0239022 | − | 0.0413998i | ||||
\(356\) | − | 40.0000i | − | 0.112360i | ||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −132.000 | −0.368715 | ||||||||
\(359\) | 320.883 | + | 185.262i | 0.893825 | + | 0.516050i | 0.875192 | − | 0.483776i | \(-0.160735\pi\) |
0.0186333 | + | 0.999826i | \(0.494069\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 164.500 | + | 284.922i | 0.455679 | + | 0.789259i | ||||
\(362\) | −233.827 | − | 135.000i | −0.645931 | − | 0.372928i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 149.907i | 0.410703i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −223.446 | − | 387.019i | −0.608844 | − | 1.05455i | −0.991431 | − | 0.130629i | \(-0.958300\pi\) |
0.382587 | − | 0.923919i | \(-0.375033\pi\) | |||||||
\(368\) | −9.79796 | + | 5.65685i | −0.0266249 | + | 0.0153719i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −181.019 | −0.489241 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −143.000 | + | 247.683i | −0.383378 | + | 0.664030i | −0.991543 | − | 0.129781i | \(-0.958573\pi\) |
0.608165 | + | 0.793811i | \(0.291906\pi\) | |||||||
\(374\) | 76.2102 | − | 44.0000i | 0.203771 | − | 0.117647i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −96.1665 | + | 166.565i | −0.255762 | + | 0.442993i | ||||
\(377\) | 450.000i | 1.19363i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −188.000 | −0.496042 | −0.248021 | − | 0.968755i | \(-0.579780\pi\) | ||||
−0.248021 | + | 0.968755i | \(0.579780\pi\) | |||||||
\(380\) | 19.5959 | + | 11.3137i | 0.0515682 | + | 0.0297729i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −94.0000 | − | 162.813i | −0.246073 | − | 0.426211i | ||||
\(383\) | 304.841 | + | 176.000i | 0.795929 | + | 0.459530i | 0.842046 | − | 0.539406i | \(-0.181351\pi\) |
−0.0461164 | + | 0.998936i | \(0.514685\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 172.534i | − | 0.446979i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −26.8701 | − | 46.5403i | −0.0692527 | − | 0.119949i | ||||
\(389\) | 177.588 | − | 102.530i | 0.456524 | − | 0.263575i | −0.254057 | − | 0.967189i | \(-0.581765\pi\) |
0.710582 | + | 0.703615i | \(0.248432\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 62.2254 | 0.159144 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 5.00000 | − | 8.66025i | 0.0126904 | − | 0.0219803i | ||||
\(395\) | −159.349 | + | 92.0000i | −0.403414 | + | 0.232911i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −122.329 | + | 211.881i | −0.308135 | + | 0.533705i | −0.977954 | − | 0.208819i | \(-0.933038\pi\) |
0.669820 | + | 0.742524i | \(0.266371\pi\) | |||||||
\(398\) | − | 528.000i | − | 1.32663i | ||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 84.0000 | 0.210000 | ||||||||
\(401\) | −385.795 | − | 222.739i | −0.962081 | − | 0.555458i | −0.0652684 | − | 0.997868i | \(-0.520790\pi\) |
−0.896813 | + | 0.442410i | \(0.854124\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 216.000 | + | 374.123i | 0.535980 | + | 0.928345i | ||||
\(404\) | 145.492 | + | 84.0000i | 0.360129 | + | 0.207921i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 181.019i | 0.444765i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 375.474 | + | 650.340i | 0.918029 | + | 1.59007i | 0.802406 | + | 0.596779i | \(0.203553\pi\) |
0.115623 | + | 0.993293i | \(0.463114\pi\) | |||||||
\(410\) | 48.9898 | − | 28.2843i | 0.119487 | − | 0.0689860i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −316.784 | −0.768893 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 112.000 | − | 193.990i | 0.269880 | − | 0.467445i | ||||
\(416\) | −62.3538 | + | 36.0000i | −0.149889 | + | 0.0865385i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 11.3137 | − | 19.5959i | 0.0270663 | − | 0.0468802i | ||||
\(419\) | − | 236.000i | − | 0.563246i | −0.959525 | − | 0.281623i | \(-0.909127\pi\) | ||
0.959525 | − | 0.281623i | \(-0.0908727\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −96.0000 | −0.228029 | −0.114014 | − | 0.993479i | \(-0.536371\pi\) | ||||
−0.114014 | + | 0.993479i | \(0.536371\pi\) | |||||||
\(422\) | −14.6969 | − | 8.48528i | −0.0348269 | − | 0.0201073i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −26.0000 | − | 45.0333i | −0.0613208 | − | 0.106211i | ||||
\(425\) | −400.104 | − | 231.000i | −0.941421 | − | 0.543529i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 277.186i | 0.647631i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 62.2254 | + | 107.778i | 0.144710 | + | 0.250645i | ||||
\(431\) | −742.195 | + | 428.507i | −1.72203 | + | 0.994215i | −0.807312 | + | 0.590125i | \(0.799078\pi\) |
−0.914719 | + | 0.404090i | \(0.867588\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 156.978 | 0.362535 | 0.181268 | − | 0.983434i | \(-0.441980\pi\) | ||||
0.181268 | + | 0.983434i | \(0.441980\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 70.0000 | − | 121.244i | 0.160550 | − | 0.278082i | ||||
\(437\) | 13.8564 | − | 8.00000i | 0.0317080 | − | 0.0183066i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 322.441 | − | 558.484i | 0.734489 | − | 1.27217i | −0.220458 | − | 0.975396i | \(-0.570755\pi\) |
0.954947 | − | 0.296776i | \(-0.0959114\pi\) | |||||||
\(440\) | 16.0000i | 0.0363636i | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 396.000 | 0.895928 | ||||||||
\(443\) | 502.145 | + | 289.914i | 1.13351 | + | 0.654433i | 0.944816 | − | 0.327603i | \(-0.106241\pi\) |
0.188695 | + | 0.982036i | \(0.439574\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −20.0000 | − | 34.6410i | −0.0449438 | − | 0.0778450i | ||||
\(446\) | −249.415 | − | 144.000i | −0.559227 | − | 0.322870i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 869.741i | − | 1.93706i | −0.248891 | − | 0.968532i | \(-0.580066\pi\) | ||
0.248891 | − | 0.968532i | \(-0.419934\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −28.2843 | − | 48.9898i | −0.0627146 | − | 0.108625i | ||||
\(452\) | 36.7423 | − | 21.2132i | 0.0812884 | − | 0.0469319i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 288.500 | 0.635462 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −192.000 | + | 332.554i | −0.420131 | + | 0.727689i | −0.995952 | − | 0.0898873i | \(-0.971349\pi\) |
0.575821 | + | 0.817576i | \(0.304683\pi\) | |||||||
\(458\) | 57.1577 | − | 33.0000i | 0.124798 | − | 0.0720524i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −5.65685 | + | 9.79796i | −0.0122975 | + | 0.0212999i | ||||
\(461\) | − | 268.000i | − | 0.581345i | −0.956823 | − | 0.290672i | \(-0.906121\pi\) | ||
0.956823 | − | 0.290672i | \(-0.0938790\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −716.000 | −1.54644 | −0.773218 | − | 0.634140i | \(-0.781354\pi\) | ||||
−0.773218 | + | 0.634140i | \(0.781354\pi\) | |||||||
\(464\) | −122.474 | − | 70.7107i | −0.263954 | − | 0.152394i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −219.000 | − | 379.319i | −0.469957 | − | 0.813990i | ||||
\(467\) | 266.736 | + | 154.000i | 0.571169 | + | 0.329764i | 0.757616 | − | 0.652701i | \(-0.226364\pi\) |
−0.186447 | + | 0.982465i | \(0.559697\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 192.333i | 0.409219i | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 141.421 | + | 244.949i | 0.299622 | + | 0.518960i | ||||
\(473\) | 107.778 | − | 62.2254i | 0.227860 | − | 0.131555i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −118.794 | −0.250093 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −30.0000 | + | 51.9615i | −0.0627615 | + | 0.108706i | ||||
\(479\) | 336.018 | − | 194.000i | 0.701499 | − | 0.405010i | −0.106407 | − | 0.994323i | \(-0.533935\pi\) |
0.807905 | + | 0.589312i | \(0.200601\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −407.294 | + | 705.453i | −0.846764 | + | 1.46664i | ||||
\(482\) | − | 534.000i | − | 1.10788i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −226.000 | −0.466942 | ||||||||
\(485\) | −46.5403 | − | 26.8701i | −0.0959594 | − | 0.0554022i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −60.0000 | − | 103.923i | −0.123203 | − | 0.213394i | 0.797826 | − | 0.602888i | \(-0.205983\pi\) |
−0.921029 | + | 0.389494i | \(0.872650\pi\) | |||||||
\(488\) | −128.172 | − | 74.0000i | −0.262647 | − | 0.151639i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 619.426i | − | 1.26156i | −0.775962 | − | 0.630780i | \(-0.782735\pi\) | ||
0.775962 | − | 0.630780i | \(-0.217265\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 388.909 | + | 673.610i | 0.788862 | + | 1.36635i | ||||
\(494\) | 88.1816 | − | 50.9117i | 0.178505 | − | 0.103060i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −135.765 | −0.273719 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −238.000 | + | 412.228i | −0.476954 | + | 0.826108i | −0.999651 | − | 0.0264100i | \(-0.991592\pi\) |
0.522697 | + | 0.852518i | \(0.324926\pi\) | |||||||
\(500\) | 159.349 | − | 92.0000i | 0.318697 | − | 0.184000i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −234.759 | + | 406.615i | −0.467648 | + | 0.809991i | ||||
\(503\) | 968.000i | 1.92445i | 0.272250 | + | 0.962227i | \(0.412232\pi\) | ||||
−0.272250 | + | 0.962227i | \(0.587768\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 168.000 | 0.332673 | ||||||||
\(506\) | 9.79796 | + | 5.65685i | 0.0193636 | + | 0.0111796i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −20.0000 | − | 34.6410i | −0.0393701 | − | 0.0681910i | ||||
\(509\) | −219.970 | − | 127.000i | −0.432162 | − | 0.249509i | 0.268105 | − | 0.963390i | \(-0.413602\pi\) |
−0.700267 | + | 0.713881i | \(0.746936\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −127.279 | − | 220.454i | −0.247625 | − | 0.428899i | ||||
\(515\) | −274.343 | + | 158.392i | −0.532705 | + | 0.307557i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 192.333 | 0.372017 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −36.0000 | + | 62.3538i | −0.0692308 | + | 0.119911i | ||||
\(521\) | −698.016 | + | 403.000i | −1.33976 | + | 0.773512i | −0.986772 | − | 0.162114i | \(-0.948169\pi\) |
−0.352991 | + | 0.935627i | \(0.614835\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −305.470 | + | 529.090i | −0.584073 | + | 1.01164i | 0.410917 | + | 0.911673i | \(0.365208\pi\) |
−0.994990 | + | 0.0999714i | \(0.968125\pi\) | |||||||
\(524\) | − | 288.000i | − | 0.549618i | ||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 228.000 | 0.433460 | ||||||||
\(527\) | 646.665 | + | 373.352i | 1.22707 | + | 0.708449i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −260.500 | − | 451.199i | −0.492439 | − | 0.852929i | ||||
\(530\) | −45.0333 | − | 26.0000i | −0.0849685 | − | 0.0490566i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 254.558i | − | 0.477596i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 138.593 | + | 240.050i | 0.259052 | + | 0.448692i | ||||
\(536\) | 293.939 | − | 169.706i | 0.548393 | − | 0.316615i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −743.876 | −1.38267 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 40.0000 | − | 69.2820i | 0.0739372 | − | 0.128063i | −0.826686 | − | 0.562663i | \(-0.809777\pi\) |
0.900624 | + | 0.434600i | \(0.143110\pi\) | |||||||
\(542\) | 526.543 | − | 304.000i | 0.971482 | − | 0.560886i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −62.2254 | + | 107.778i | −0.114385 | + | 0.198120i | ||||
\(545\) | − | 140.000i | − | 0.256881i | ||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 256.000 | 0.468007 | 0.234004 | − | 0.972236i | \(-0.424817\pi\) | ||||
0.234004 | + | 0.972236i | \(0.424817\pi\) | |||||||
\(548\) | 345.378 | + | 199.404i | 0.630252 | + | 0.363876i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −42.0000 | − | 72.7461i | −0.0763636 | − | 0.132266i | ||||
\(551\) | 173.205 | + | 100.000i | 0.314347 | + | 0.181488i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | − | 90.5097i | − | 0.163375i | ||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −5.65685 | − | 9.79796i | −0.0101742 | − | 0.0176222i | ||||
\(557\) | −679.733 | + | 392.444i | −1.22035 | + | 0.704568i | −0.964992 | − | 0.262279i | \(-0.915526\pi\) |
−0.255355 | + | 0.966847i | \(0.582192\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 560.029 | 1.00184 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −317.000 | + | 549.060i | −0.564057 | + | 0.976975i | ||||
\(563\) | 523.079 | − | 302.000i | 0.929093 | − | 0.536412i | 0.0425684 | − | 0.999094i | \(-0.486446\pi\) |
0.886525 | + | 0.462681i | \(0.153113\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 21.2132 | − | 36.7423i | 0.0375455 | − | 0.0650307i | ||||
\(566\) | − | 176.000i | − | 0.310954i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 24.0000 | 0.0422535 | ||||||||
\(569\) | 375.997 | + | 217.082i | 0.660803 | + | 0.381515i | 0.792583 | − | 0.609764i | \(-0.208736\pi\) |
−0.131780 | + | 0.991279i | \(0.542069\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 124.000 | + | 214.774i | 0.217163 | + | 0.376137i | 0.953939 | − | 0.299999i | \(-0.0969864\pi\) |
−0.736777 | + | 0.676136i | \(0.763653\pi\) | |||||||
\(572\) | 62.3538 | + | 36.0000i | 0.109010 | + | 0.0629371i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 59.3970i | − | 0.103299i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 383.959 | + | 665.036i | 0.665440 | + | 1.15258i | 0.979166 | + | 0.203063i | \(0.0650895\pi\) |
−0.313726 | + | 0.949514i | \(0.601577\pi\) | |||||||
\(578\) | 238.825 | − | 137.886i | 0.413192 | − | 0.238557i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −141.421 | −0.243830 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −26.0000 | + | 45.0333i | −0.0445969 | + | 0.0772441i | ||||
\(584\) | −183.597 | + | 106.000i | −0.314379 | + | 0.181507i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −200.818 | + | 347.828i | −0.342693 | + | 0.593562i | ||||
\(587\) | − | 1140.00i | − | 1.94208i | −0.238920 | − | 0.971039i | \(-0.576793\pi\) | ||
0.238920 | − | 0.971039i | \(-0.423207\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 192.000 | 0.325976 | ||||||||
\(590\) | 244.949 | + | 141.421i | 0.415168 | + | 0.239697i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −128.000 | − | 221.703i | −0.216216 | − | 0.374497i | ||||
\(593\) | 590.629 | + | 341.000i | 0.996002 | + | 0.575042i | 0.907063 | − | 0.420995i | \(-0.138319\pi\) |
0.0889392 | + | 0.996037i | \(0.471652\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 36.7696i | 0.0616939i | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 25.4558 | + | 44.0908i | 0.0425683 | + | 0.0737305i | ||||
\(599\) | −913.660 | + | 527.502i | −1.52531 | + | 0.880637i | −0.525759 | + | 0.850634i | \(0.676218\pi\) |
−0.999550 | + | 0.0300033i | \(0.990448\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 555.786 | 0.924769 | 0.462384 | − | 0.886680i | \(-0.346994\pi\) | ||||
0.462384 | + | 0.886680i | \(0.346994\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −64.0000 | + | 110.851i | −0.105960 | + | 0.183529i | ||||
\(605\) | −195.722 | + | 113.000i | −0.323507 | + | 0.186777i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −212.132 | + | 367.423i | −0.349476 | + | 0.605310i | −0.986156 | − | 0.165817i | \(-0.946974\pi\) |
0.636680 | + | 0.771128i | \(0.280307\pi\) | |||||||
\(608\) | 32.0000i | 0.0526316i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −148.000 | −0.242623 | ||||||||
\(611\) | 749.544 | + | 432.749i | 1.22675 | + | 0.708264i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −156.000 | − | 270.200i | −0.254486 | − | 0.440783i | 0.710270 | − | 0.703930i | \(-0.248573\pi\) |
−0.964756 | + | 0.263147i | \(0.915240\pi\) | |||||||
\(614\) | −346.410 | − | 200.000i | −0.564186 | − | 0.325733i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 490.732i | 0.795352i | 0.917526 | + | 0.397676i | \(0.130183\pi\) | ||||
−0.917526 | + | 0.397676i | \(0.869817\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 138.593 | + | 240.050i | 0.223898 | + | 0.387803i | 0.955988 | − | 0.293405i | \(-0.0947884\pi\) |
−0.732090 | + | 0.681208i | \(0.761455\pi\) | |||||||
\(620\) | −117.576 | + | 67.8823i | −0.189638 | + | 0.109488i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 265.872 | 0.427447 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −170.500 | + | 295.315i | −0.272800 | + | 0.472503i | ||||
\(626\) | 265.004 | − | 153.000i | 0.423329 | − | 0.244409i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −162.635 | + | 281.691i | −0.258972 | + | 0.448553i | ||||
\(629\) | 1408.00i | 2.23847i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −316.000 | −0.500792 | −0.250396 | − | 0.968143i | \(-0.580561\pi\) | ||||
−0.250396 | + | 0.968143i | \(0.580561\pi\) | |||||||
\(632\) | −225.353 | − | 130.108i | −0.356571 | − | 0.205867i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −323.000 | − | 559.452i | −0.509464 | − | 0.882417i | ||||
\(635\) | −34.6410 | − | 20.0000i | −0.0545528 | − | 0.0314961i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 141.421i | 0.221664i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −11.3137 | − | 19.5959i | −0.0176777 | − | 0.0306186i | ||||
\(641\) | 375.997 | − | 217.082i | 0.586578 | − | 0.338661i | −0.177165 | − | 0.984181i | \(-0.556693\pi\) |
0.763743 | + | 0.645520i | \(0.223359\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −158.392 | −0.246333 | −0.123166 | − | 0.992386i | \(-0.539305\pi\) | ||||
−0.123166 | + | 0.992386i | \(0.539305\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 88.0000 | − | 152.420i | 0.136223 | − | 0.235945i | ||||
\(647\) | 758.638 | − | 438.000i | 1.17255 | − | 0.676971i | 0.218269 | − | 0.975889i | \(-0.429959\pi\) |
0.954279 | + | 0.298918i | \(0.0966257\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 141.421 | − | 244.949i | 0.217907 | − | 0.377425i | ||||
\(650\) | − | 378.000i | − | 0.581538i | ||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 448.000 | 0.687117 | ||||||||
\(653\) | −253.522 | − | 146.371i | −0.388242 | − | 0.224152i | 0.293156 | − | 0.956065i | \(-0.405294\pi\) |
−0.681398 | + | 0.731913i | \(0.738628\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −144.000 | − | 249.415i | −0.219847 | − | 0.380787i | ||||
\(656\) | 69.2820 | + | 40.0000i | 0.105613 | + | 0.0609756i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 907.925i | − | 1.37773i | −0.724889 | − | 0.688866i | \(-0.758109\pi\) | ||
0.724889 | − | 0.688866i | \(-0.241891\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 392.444 | + | 679.733i | 0.593713 | + | 1.02834i | 0.993727 | + | 0.111832i | \(0.0356719\pi\) |
−0.400014 | + | 0.916509i | \(0.630995\pi\) | |||||||
\(662\) | 612.372 | − | 353.553i | 0.925034 | − | 0.534069i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 316.784 | 0.477084 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −50.0000 | + | 86.6025i | −0.0749625 | + | 0.129839i | ||||
\(668\) | 505.759 | − | 292.000i | 0.757124 | − | 0.437126i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 169.706 | − | 293.939i | 0.253292 | − | 0.438715i | ||||
\(671\) | 148.000i | 0.220566i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −264.000 | −0.392273 | −0.196137 | − | 0.980577i | \(-0.562840\pi\) | ||||
−0.196137 | + | 0.980577i | \(0.562840\pi\) | |||||||
\(674\) | 105.328 | + | 60.8112i | 0.156273 | + | 0.0902243i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.00000 | − | 12.1244i | −0.0103550 | − | 0.0179354i | ||||
\(677\) | −259.808 | − | 150.000i | −0.383763 | − | 0.221566i | 0.295691 | − | 0.955284i | \(-0.404450\pi\) |
−0.679454 | + | 0.733718i | \(0.737783\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 124.451i | 0.183016i | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 67.8823 | + | 117.576i | 0.0995341 | + | 0.172398i | ||||
\(683\) | −1006.74 | + | 581.242i | −1.47400 | + | 0.851013i | −0.999571 | − | 0.0292824i | \(-0.990678\pi\) |
−0.474426 | + | 0.880295i | \(0.657344\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 398.808 | 0.582202 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −88.0000 | + | 152.420i | −0.127907 | + | 0.221541i | ||||
\(689\) | −202.650 | + | 117.000i | −0.294122 | + | 0.169811i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 254.558 | − | 440.908i | 0.368391 | − | 0.638073i | −0.620923 | − | 0.783872i | \(-0.713242\pi\) |
0.989314 | + | 0.145799i | \(0.0465753\pi\) | |||||||
\(692\) | − | 312.000i | − | 0.450867i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 348.000 | 0.501441 | ||||||||
\(695\) | −9.79796 | − | 5.65685i | −0.0140978 | − | 0.00813936i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −220.000 | − | 381.051i | −0.315638 | − | 0.546702i | ||||
\(698\) | 545.596 | + | 315.000i | 0.781656 | + | 0.451289i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 182.434i | − | 0.260248i | −0.991498 | − | 0.130124i | \(-0.958463\pi\) | ||
0.991498 | − | 0.130124i | \(-0.0415375\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 181.019 | + | 313.535i | 0.257495 | + | 0.445995i | ||||
\(704\) | −19.5959 | + | 11.3137i | −0.0278351 | + | 0.0160706i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −308.299 | −0.436684 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −659.000 | + | 1141.42i | −0.929478 | + | 1.60990i | −0.145282 | + | 0.989390i | \(0.546409\pi\) |
−0.784196 | + | 0.620513i | \(0.786924\pi\) | |||||||
\(710\) | 20.7846 | − | 12.0000i | 0.0292741 | − | 0.0169014i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 28.2843 | − | 48.9898i | 0.0397251 | − | 0.0688059i | ||||
\(713\) | 96.0000i | 0.134642i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 72.0000 | 0.100699 | ||||||||
\(716\) | −161.666 | − | 93.3381i | −0.225791 | − | 0.130360i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 262.000 | + | 453.797i | 0.364903 | + | 0.632030i | ||||
\(719\) | 879.882 | + | 508.000i | 1.22376 | + | 0.706537i | 0.965717 | − | 0.259597i | \(-0.0835898\pi\) |
0.258041 | + | 0.966134i | \(0.416923\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 465.276i | 0.644427i | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −190.919 | − | 330.681i | −0.263700 | − | 0.456742i | ||||
\(725\) | 642.991 | − | 371.231i | 0.886884 | − | 0.512043i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 384.666 | 0.529114 | 0.264557 | − | 0.964370i | \(-0.414774\pi\) | ||||
0.264557 | + | 0.964370i | \(0.414774\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −106.000 | + | 183.597i | −0.145205 | + | 0.251503i | ||||
\(731\) | 838.313 | − | 484.000i | 1.14680 | − | 0.662107i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −277.893 | + | 481.325i | −0.379117 | + | 0.656650i | −0.990934 | − | 0.134349i | \(-0.957106\pi\) |
0.611817 | + | 0.791000i | \(0.290439\pi\) | |||||||
\(734\) | − | 632.000i | − | 0.861035i | ||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −16.0000 | −0.0217391 | ||||||||
\(737\) | −293.939 | − | 169.706i | −0.398831 | − | 0.230265i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 600.000 | + | 1039.23i | 0.811908 | + | 1.40627i | 0.911527 | + | 0.411240i | \(0.134904\pi\) |
−0.0996190 | + | 0.995026i | \(0.531762\pi\) | |||||||
\(740\) | −221.703 | − | 128.000i | −0.299598 | − | 0.172973i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1309.56i | 1.76253i | 0.472620 | + | 0.881266i | \(0.343308\pi\) | ||||
−0.472620 | + | 0.881266i | \(0.656692\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 18.3848 | + | 31.8434i | 0.0246776 | + | 0.0427428i | ||||
\(746\) | −350.277 | + | 202.233i | −0.469540 | + | 0.271089i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 124.451 | 0.166378 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 284.000 | − | 491.902i | 0.378162 | − | 0.654997i | −0.612632 | − | 0.790368i | \(-0.709889\pi\) |
0.990795 | + | 0.135371i | \(0.0432227\pi\) | |||||||
\(752\) | −235.559 | + | 136.000i | −0.313243 | + | 0.180851i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −318.198 | + | 551.135i | −0.422013 | + | 0.730949i | ||||
\(755\) | 128.000i | 0.169536i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −358.000 | −0.472919 | −0.236460 | − | 0.971641i | \(-0.575987\pi\) | ||||
−0.236460 | + | 0.971641i | \(0.575987\pi\) | |||||||
\(758\) | −230.252 | − | 132.936i | −0.303763 | − | 0.175377i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 16.0000 | + | 27.7128i | 0.0210526 | + | 0.0364642i | ||||
\(761\) | 439.941 | + | 254.000i | 0.578109 | + | 0.333771i | 0.760382 | − | 0.649477i | \(-0.225012\pi\) |
−0.182273 | + | 0.983248i | \(0.558345\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | − | 265.872i | − | 0.348000i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 248.902 | + | 431.110i | 0.324937 | + | 0.562807i | ||||
\(767\) | 1102.27 | − | 636.396i | 1.43712 | − | 0.829721i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 861.256 | 1.11997 | 0.559984 | − | 0.828503i | \(-0.310807\pi\) | ||||
0.559984 | + | 0.828503i | \(0.310807\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 122.000 | − | 211.310i | 0.158031 | − | 0.273718i | ||||
\(773\) | −772.495 | + | 446.000i | −0.999346 | + | 0.576973i | −0.908055 | − | 0.418851i | \(-0.862433\pi\) |
−0.0912915 | + | 0.995824i | \(0.529099\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 356.382 | − | 617.271i | 0.459848 | − | 0.796479i | ||||
\(776\) | − | 76.0000i | − | 0.0979381i | ||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 290.000 | 0.372751 | ||||||||
\(779\) | −97.9796 | − | 56.5685i | −0.125776 | − | 0.0726169i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −12.0000 | − | 20.7846i | −0.0153649 | − | 0.0266128i | ||||
\(782\) | 76.2102 | + | 44.0000i | 0.0974555 | + | 0.0562660i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 325.269i | 0.414356i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −214.960 | − | 372.322i | −0.273139 | − | 0.473091i | 0.696525 | − | 0.717533i | \(-0.254729\pi\) |
−0.969664 | + | 0.244442i | \(0.921395\pi\) | |||||||
\(788\) | 12.2474 | − | 7.07107i | 0.0155424 | − | 0.00897344i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −260.215 | −0.329386 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −333.000 | + | 576.773i | −0.419924 | + | 0.727330i | ||||
\(794\) | −299.645 | + | 173.000i | −0.377386 | + | 0.217884i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 373.352 | − | 646.665i | 0.469036 | − | 0.812394i | ||||
\(797\) | − | 540.000i | − | 0.677541i | −0.940869 | − | 0.338770i | \(-0.889989\pi\) | ||
0.940869 | − | 0.338770i | \(-0.110011\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1496.00 | 1.87234 | ||||||||
\(800\) | 102.879 | + | 59.3970i | 0.128598 | + | 0.0742462i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −315.000 | − | 545.596i | −0.392768 | − | 0.680294i | ||||
\(803\) | 183.597 | + | 106.000i | 0.228639 | + | 0.132005i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 610.940i | 0.757990i | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 118.794 | + | 205.757i | 0.147022 | + | 0.254650i | ||||
\(809\) | −755.668 | + | 436.285i | −0.934076 | + | 0.539289i | −0.888098 | − | 0.459653i | \(-0.847974\pi\) |
−0.0459777 | + | 0.998942i | \(0.514640\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −492.146 | −0.606839 | −0.303419 | − | 0.952857i | \(-0.598128\pi\) | ||||
−0.303419 | + | 0.952857i | \(0.598128\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −128.000 | + | 221.703i | −0.157248 | + | 0.272362i | ||||
\(815\) | 387.979 | − | 224.000i | 0.476048 | − | 0.274847i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 124.451 | − | 215.555i | 0.152327 | − | 0.263837i | ||||
\(818\) | 1062.00i | 1.29829i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 80.0000 | 0.0975610 | ||||||||
\(821\) | −650.340 | − | 375.474i | −0.792131 | − | 0.457337i | 0.0485812 | − | 0.998819i | \(-0.484530\pi\) |
−0.840712 | + | 0.541482i | \(0.817863\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 58.0000 | + | 100.459i | 0.0704739 | + | 0.122064i | 0.899109 | − | 0.437725i | \(-0.144216\pi\) |
−0.828635 | + | 0.559789i | \(0.810882\pi\) | |||||||
\(824\) | −387.979 | − | 224.000i | −0.470849 | − | 0.271845i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 873.984i | − | 1.05681i | −0.848992 | − | 0.528406i | \(-0.822790\pi\) | ||
0.848992 | − | 0.528406i | \(-0.177210\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −136.472 | − | 236.376i | −0.164622 | − | 0.285134i | 0.771899 | − | 0.635745i | \(-0.219307\pi\) |
−0.936521 | + | 0.350612i | \(0.885974\pi\) | |||||||
\(830\) | 274.343 | − | 158.392i | 0.330534 | − | 0.190834i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −101.823 | −0.122384 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 292.000 | − | 505.759i | 0.349701 | − | 0.605699i | ||||
\(836\) | 27.7128 | − | 16.0000i | 0.0331493 | − | 0.0191388i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 166.877 | − | 289.040i | 0.199137 | − | 0.344916i | ||||
\(839\) | − | 188.000i | − | 0.224076i | −0.993704 | − | 0.112038i | \(-0.964262\pi\) | ||
0.993704 | − | 0.112038i | \(-0.0357379\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −409.000 | −0.486326 | ||||||||
\(842\) | −117.576 | − | 67.8823i | −0.139638 | − | 0.0806203i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −12.0000 | − | 20.7846i | −0.0142180 | − | 0.0246263i | ||||
\(845\) | −12.1244 | − | 7.00000i | −0.0143483 | − | 0.00828402i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | − | 73.5391i | − | 0.0867206i | ||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −326.683 | − | 565.832i | −0.384333 | − | 0.665685i | ||||
\(851\) | −156.767 | + | 90.5097i | −0.184215 | + | 0.106357i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 63.6396 | 0.0746068 | 0.0373034 | − | 0.999304i | \(-0.488123\pi\) | ||||
0.0373034 | + | 0.999304i | \(0.488123\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −196.000 | + | 339.482i | −0.228972 | + | 0.396591i | ||||
\(857\) | 225.167 | − | 130.000i | 0.262738 | − | 0.151692i | −0.362845 | − | 0.931850i | \(-0.618194\pi\) |
0.625583 | + | 0.780158i | \(0.284861\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 395.980 | − | 685.857i | 0.460978 | − | 0.798437i | −0.538032 | − | 0.842924i | \(-0.680832\pi\) |
0.999010 | + | 0.0444875i | \(0.0141655\pi\) | |||||||
\(860\) | 176.000i | 0.204651i | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −1212.00 | −1.40603 | ||||||||
\(863\) | −364.974 | − | 210.718i | −0.422913 | − | 0.244169i | 0.273410 | − | 0.961898i | \(-0.411848\pi\) |
−0.696323 | + | 0.717729i | \(0.745182\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −156.000 | − | 270.200i | −0.180347 | − | 0.312370i | ||||
\(866\) | 192.258 | + | 111.000i | 0.222007 | + | 0.128176i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 260.215i | 0.299442i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −763.675 | − | 1322.72i | −0.876780 | − | 1.51863i | ||||
\(872\) | 171.464 | − | 98.9949i | 0.196633 | − | 0.113526i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 22.6274 | 0.0258895 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 476.000 | − | 824.456i | 0.542759 | − | 0.940087i | −0.455985 | − | 0.889988i | \(-0.650713\pi\) |
0.998744 | − | 0.0500993i | \(-0.0159538\pi\) | |||||||
\(878\) | 789.815 | − | 456.000i | 0.899562 | − | 0.519362i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −11.3137 | + | 19.5959i | −0.0128565 | + | 0.0222681i | ||||
\(881\) | 1158.00i | 1.31442i | 0.753710 | + | 0.657208i | \(0.228263\pi\) | ||||
−0.753710 | + | 0.657208i | \(0.771737\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1036.00 | −1.17327 | −0.586636 | − | 0.809850i | \(-0.699548\pi\) | ||||
−0.586636 | + | 0.809850i | \(0.699548\pi\) | |||||||
\(884\) | 484.999 | + | 280.014i | 0.548641 | + | 0.316758i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 410.000 | + | 710.141i | 0.462754 | + | 0.801513i | ||||
\(887\) | 398.372 | + | 230.000i | 0.449123 | + | 0.259301i | 0.707460 | − | 0.706754i | \(-0.249841\pi\) |
−0.258337 | + | 0.966055i | \(0.583174\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | − | 56.5685i | − | 0.0635602i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −203.647 | − | 352.727i | −0.228304 | − | 0.395433i | ||||
\(893\) | 333.131 | − | 192.333i | 0.373047 | − | 0.215379i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −186.676 | −0.208577 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 615.000 | − | 1065.21i | 0.684855 | − | 1.18620i | ||||
\(899\) | −1039.23 | + | 600.000i | −1.15598 | + | 0.667408i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −202.233 | + | 350.277i | −0.224453 | + | 0.388765i | ||||
\(902\) | − | 80.0000i | − | 0.0886918i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 60.0000 | 0.0663717 | ||||||||
\(905\) | −330.681 | − | 190.919i | −0.365393 | − | 0.210960i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −110.000 | − | 190.526i | −0.121279 | − | 0.210061i | 0.798993 | − | 0.601340i | \(-0.205366\pi\) |
−0.920272 | + | 0.391279i | \(0.872033\pi\) | |||||||
\(908\) | 353.338 | + | 204.000i | 0.389139 | + | 0.224670i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1049.35i | 1.15186i | 0.817498 | + | 0.575931i | \(0.195360\pi\) | ||||
−0.817498 | + | 0.575931i | \(0.804640\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −158.392 | − | 274.343i | −0.173485 | − | 0.300485i | ||||
\(914\) | −470.302 | + | 271.529i | −0.514554 | + | 0.297078i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 93.3381 | 0.101897 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 160.000 | − | 277.128i | 0.174102 | − | 0.301554i | −0.765748 | − | 0.643141i | \(-0.777631\pi\) |
0.939850 | + | 0.341587i | \(0.110964\pi\) | |||||||
\(920\) | −13.8564 | + | 8.00000i | −0.0150613 | + | 0.00869565i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 189.505 | − | 328.232i | 0.205536 | − | 0.356000i | ||||
\(923\) | − | 108.000i | − | 0.117010i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1344.00 | 1.45297 | ||||||||
\(926\) | −876.917 | − | 506.288i | −0.946995 | − | 0.546748i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −100.000 | − | 173.205i | −0.107759 | − | 0.186643i | ||||
\(929\) | −1520.74 | − | 878.000i | −1.63697 | − | 0.945102i | −0.981870 | − | 0.189556i | \(-0.939295\pi\) |
−0.655095 | − | 0.755546i | \(-0.727371\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | − | 619.426i | − | 0.664620i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 217.789 | + | 377.221i | 0.233179 | + | 0.403877i | ||||
\(935\) | 107.778 | − | 62.2254i | 0.115270 | − | 0.0665512i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1740.90 | −1.85795 | −0.928974 | − | 0.370145i | \(-0.879308\pi\) | ||||
−0.928974 | + | 0.370145i | \(0.879308\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −136.000 | + | 235.559i | −0.144681 | + | 0.250595i | ||||
\(941\) | −542.132 | + | 313.000i | −0.576123 | + | 0.332625i | −0.759591 | − | 0.650401i | \(-0.774601\pi\) |
0.183468 | + | 0.983026i | \(0.441268\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 28.2843 | − | 48.9898i | 0.0299939 | − | 0.0519510i | ||||
\(944\) | 400.000i | 0.423729i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 176.000 | 0.186047 | ||||||||
\(947\) | 683.408 | + | 394.566i | 0.721655 | + | 0.416648i | 0.815362 | − | 0.578952i | \(-0.196538\pi\) |
−0.0937063 | + | 0.995600i | \(0.529871\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 477.000 | + | 826.188i | 0.502634 | + | 0.870588i | ||||
\(950\) | −145.492 | − | 84.0000i | −0.153150 | − | 0.0884211i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 193.747i | 0.203302i | 0.994820 | + | 0.101651i | \(0.0324126\pi\) | ||||
−0.994820 | + | 0.101651i | \(0.967587\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −132.936 | − | 230.252i | −0.139200 | − | 0.241102i | ||||
\(956\) | −73.4847 | + | 42.4264i | −0.0768668 | + | 0.0443791i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 548.715 | 0.572771 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −95.5000 | + | 165.411i | −0.0993757 | + | 0.172124i | ||||
\(962\) | −997.661 | + | 576.000i | −1.03707 | + | 0.598753i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 377.595 | − | 654.014i | 0.391696 | − | 0.678438i | ||||
\(965\) | − | 244.000i | − | 0.252850i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 132.000 | 0.136505 | 0.0682523 | − | 0.997668i | \(-0.478258\pi\) | ||||
0.0682523 | + | 0.997668i | \(0.478258\pi\) | |||||||
\(968\) | −276.792 | − | 159.806i | −0.285943 | − | 0.165089i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −38.0000 | − | 65.8179i | −0.0391753 | − | 0.0678535i | ||||
\(971\) | −138.564 | − | 80.0000i | −0.142702 | − | 0.0823893i | 0.426949 | − | 0.904276i | \(-0.359588\pi\) |
−0.569651 | + | 0.821886i | \(0.692922\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | − | 169.706i | − | 0.174236i | ||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −104.652 | − | 181.262i | −0.107225 | − | 0.185720i | ||||
\(977\) | 1297.00 | − | 748.826i | 1.32754 | − | 0.766455i | 0.342620 | − | 0.939474i | \(-0.388686\pi\) |
0.984918 | + | 0.173020i | \(0.0553524\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −56.5685 | −0.0577820 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 438.000 | − | 758.638i | 0.446029 | − | 0.772544i | ||||
\(983\) | −284.056 | + | 164.000i | −0.288969 | + | 0.166836i | −0.637477 | − | 0.770470i | \(-0.720022\pi\) |
0.348508 | + | 0.937306i | \(0.386688\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 7.07107 | − | 12.2474i | 0.00717875 | − | 0.0124340i | ||||
\(986\) | 1100.00i | 1.11562i | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 144.000 | 0.145749 | ||||||||
\(989\) | 107.778 | + | 62.2254i | 0.108976 | + | 0.0629175i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.00000 | + | 13.8564i | 0.00807265 | + | 0.0139822i | 0.870034 | − | 0.492993i | \(-0.164097\pi\) |
−0.861961 | + | 0.506975i | \(0.830764\pi\) | |||||||
\(992\) | −166.277 | − | 96.0000i | −0.167618 | − | 0.0967742i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | − | 746.705i | − | 0.750457i | ||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −437.699 | − | 758.117i | −0.439016 | − | 0.760398i | 0.558598 | − | 0.829439i | \(-0.311340\pi\) |
−0.997614 | + | 0.0690405i | \(0.978006\pi\) | |||||||
\(998\) | −582.979 | + | 336.583i | −0.584147 | + | 0.337257i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 882.3.s.f.863.4 | 8 | ||
3.2 | odd | 2 | inner | 882.3.s.f.863.1 | 8 | ||
7.2 | even | 3 | 882.3.b.i.197.1 | ✓ | 4 | ||
7.3 | odd | 6 | inner | 882.3.s.f.557.2 | 8 | ||
7.4 | even | 3 | inner | 882.3.s.f.557.1 | 8 | ||
7.5 | odd | 6 | 882.3.b.i.197.2 | yes | 4 | ||
7.6 | odd | 2 | inner | 882.3.s.f.863.3 | 8 | ||
21.2 | odd | 6 | 882.3.b.i.197.4 | yes | 4 | ||
21.5 | even | 6 | 882.3.b.i.197.3 | yes | 4 | ||
21.11 | odd | 6 | inner | 882.3.s.f.557.4 | 8 | ||
21.17 | even | 6 | inner | 882.3.s.f.557.3 | 8 | ||
21.20 | even | 2 | inner | 882.3.s.f.863.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.3.b.i.197.1 | ✓ | 4 | 7.2 | even | 3 | ||
882.3.b.i.197.2 | yes | 4 | 7.5 | odd | 6 | ||
882.3.b.i.197.3 | yes | 4 | 21.5 | even | 6 | ||
882.3.b.i.197.4 | yes | 4 | 21.2 | odd | 6 | ||
882.3.s.f.557.1 | 8 | 7.4 | even | 3 | inner | ||
882.3.s.f.557.2 | 8 | 7.3 | odd | 6 | inner | ||
882.3.s.f.557.3 | 8 | 21.17 | even | 6 | inner | ||
882.3.s.f.557.4 | 8 | 21.11 | odd | 6 | inner | ||
882.3.s.f.863.1 | 8 | 3.2 | odd | 2 | inner | ||
882.3.s.f.863.2 | 8 | 21.20 | even | 2 | inner | ||
882.3.s.f.863.3 | 8 | 7.6 | odd | 2 | inner | ||
882.3.s.f.863.4 | 8 | 1.1 | even | 1 | trivial |