Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,3,Mod(79,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.79");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.o (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: | \(6.10355792167\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 3 x^{11} - 4 x^{10} + 3 x^{9} + 86 x^{8} - 163 x^{7} + 155 x^{6} - 166 x^{5} + 164 x^{4} + \cdots + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{23}]\) |
Coefficient ring index: | \( 2^{6} \) |
Twist minimal: | no (minimal twist has level 56) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 79.1 | ||
Root | \(0.378279 + 0.358951i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 224.79 |
Dual form | 224.3.o.d.207.1 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.99052 | − | 3.44767i | −0.663505 | − | 1.14922i | −0.979688 | − | 0.200526i | \(-0.935735\pi\) |
0.316183 | − | 0.948698i | \(-0.397599\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.63031 | − | 0.941260i | −0.326062 | − | 0.188252i | 0.328029 | − | 0.944668i | \(-0.393616\pi\) |
−0.654091 | + | 0.756416i | \(0.726949\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −5.14749 | + | 4.74377i | −0.735355 | + | 0.677682i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −3.42430 | + | 5.93106i | −0.380478 | + | 0.659007i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.93973 | − | 6.82381i | −0.358157 | − | 0.620346i | 0.629496 | − | 0.777004i | \(-0.283261\pi\) |
−0.987653 | + | 0.156658i | \(0.949928\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 11.4863i | 0.883564i | 0.897122 | + | 0.441782i | \(0.145654\pi\) | ||||
−0.897122 | + | 0.441782i | \(0.854346\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 7.49437i | 0.499625i | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.44921 | + | 2.51011i | 0.0852478 | + | 0.147654i | 0.905497 | − | 0.424353i | \(-0.139498\pi\) |
−0.820249 | + | 0.572007i | \(0.806165\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −15.0223 | + | 26.0194i | −0.790649 | + | 1.36944i | 0.134916 | + | 0.990857i | \(0.456923\pi\) |
−0.925566 | + | 0.378587i | \(0.876410\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 26.6011 | + | 8.30431i | 1.26672 | + | 0.395443i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 33.3838 | + | 19.2741i | 1.45147 | + | 0.838006i | 0.998565 | − | 0.0535530i | \(-0.0170546\pi\) |
0.452904 | + | 0.891559i | \(0.350388\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −10.7281 | − | 18.5815i | −0.429122 | − | 0.743262i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −8.56478 | −0.317214 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 27.8701i | 0.961039i | 0.876984 | + | 0.480519i | \(0.159552\pi\) | ||||
−0.876984 | + | 0.480519i | \(0.840448\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −19.4709 | + | 11.2416i | −0.628095 | + | 0.362631i | −0.780014 | − | 0.625762i | \(-0.784788\pi\) |
0.151919 | + | 0.988393i | \(0.451455\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −15.6842 | + | 27.1658i | −0.475278 | + | 0.823206i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 12.8571 | − | 2.88869i | 0.367346 | − | 0.0825341i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −39.4520 | − | 22.7776i | −1.06627 | − | 0.615611i | −0.139109 | − | 0.990277i | \(-0.544424\pi\) |
−0.927160 | + | 0.374666i | \(0.877757\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 39.6011 | − | 22.8637i | 1.01541 | − | 0.586249i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −40.6313 | −0.991007 | −0.495503 | − | 0.868606i | \(-0.665016\pi\) | ||||
−0.495503 | + | 0.868606i | \(0.665016\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 47.2806 | 1.09955 | 0.549774 | − | 0.835313i | \(-0.314714\pi\) | ||||
0.549774 | + | 0.835313i | \(0.314714\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 11.1653 | − | 6.44632i | 0.248119 | − | 0.143251i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −71.5172 | − | 41.2905i | −1.52164 | − | 0.878520i | −0.999673 | − | 0.0255554i | \(-0.991865\pi\) |
−0.521968 | − | 0.852965i | \(-0.674802\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.99327 | − | 48.8370i | 0.0814954 | − | 0.996674i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 5.76936 | − | 9.99283i | 0.113125 | − | 0.195938i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −23.2823 | + | 13.4420i | −0.439288 | + | 0.253623i | −0.703296 | − | 0.710897i | \(-0.748289\pi\) |
0.264007 | + | 0.964521i | \(0.414956\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 14.8332i | 0.269695i | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 119.609 | 2.09840 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −5.20555 | − | 9.01627i | −0.0882296 | − | 0.152818i | 0.818533 | − | 0.574459i | \(-0.194788\pi\) |
−0.906763 | + | 0.421641i | \(0.861454\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −19.1932 | − | 11.0812i | −0.314642 | − | 0.181659i | 0.334360 | − | 0.942446i | \(-0.391480\pi\) |
−0.649002 | + | 0.760787i | \(0.724813\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −10.5091 | − | 46.7742i | −0.166810 | − | 0.742447i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 10.8116 | − | 18.7263i | 0.166333 | − | 0.288097i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −29.6549 | − | 51.3639i | −0.442611 | − | 0.766625i | 0.555271 | − | 0.831669i | \(-0.312614\pi\) |
−0.997882 | + | 0.0650444i | \(0.979281\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | − | 153.462i | − | 2.22409i | ||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 38.2541i | 0.538791i | 0.963030 | + | 0.269395i | \(0.0868238\pi\) | ||||
−0.963030 | + | 0.269395i | \(0.913176\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.98890 | − | 12.1051i | −0.0957383 | − | 0.165824i | 0.814178 | − | 0.580615i | \(-0.197188\pi\) |
−0.909917 | + | 0.414791i | \(0.863855\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −42.7087 | + | 73.9737i | −0.569450 | + | 0.986316i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 52.6503 | + | 16.4363i | 0.683770 | + | 0.213459i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −44.3314 | − | 25.5948i | −0.561157 | − | 0.323984i | 0.192453 | − | 0.981306i | \(-0.438356\pi\) |
−0.753610 | + | 0.657322i | \(0.771689\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 47.8670 | + | 82.9081i | 0.590951 | + | 1.02356i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 89.4458 | 1.07766 | 0.538830 | − | 0.842414i | \(-0.318866\pi\) | ||||
0.538830 | + | 0.842414i | \(0.318866\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 5.45635i | − | 0.0641923i | ||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 96.0871 | − | 55.4759i | 1.10445 | − | 0.637654i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −52.6288 | + | 91.1558i | −0.591335 | + | 1.02422i | 0.402718 | + | 0.915324i | \(0.368066\pi\) |
−0.994053 | + | 0.108898i | \(0.965268\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −54.4885 | − | 59.1258i | −0.598775 | − | 0.649734i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 77.5144 | + | 44.7530i | 0.833488 | + | 0.481215i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 48.9821 | − | 28.2798i | 0.515601 | − | 0.297683i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 55.3301 | 0.570413 | 0.285206 | − | 0.958466i | \(-0.407938\pi\) | ||||
0.285206 | + | 0.958466i | \(0.407938\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 53.9633 | 0.545084 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 27.2216 | − | 15.7164i | 0.269521 | − | 0.155608i | −0.359149 | − | 0.933280i | \(-0.616933\pi\) |
0.628670 | + | 0.777672i | \(0.283600\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −69.2701 | − | 39.9931i | −0.672525 | − | 0.388283i | 0.124508 | − | 0.992219i | \(-0.460265\pi\) |
−0.797033 | + | 0.603936i | \(0.793598\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −35.5516 | − | 38.5772i | −0.338586 | − | 0.367402i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 24.3817 | − | 42.2303i | 0.227866 | − | 0.394676i | −0.729309 | − | 0.684184i | \(-0.760158\pi\) |
0.957175 | + | 0.289508i | \(0.0934918\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −99.6528 | + | 57.5346i | −0.914246 | + | 0.527840i | −0.881795 | − | 0.471633i | \(-0.843665\pi\) |
−0.0324509 | + | 0.999473i | \(0.510331\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 181.357i | 1.63384i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −55.7570 | −0.493425 | −0.246712 | − | 0.969089i | \(-0.579350\pi\) | ||||
−0.246712 | + | 0.969089i | \(0.579350\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −36.2840 | − | 62.8457i | −0.315513 | − | 0.546484i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −68.1262 | − | 39.3327i | −0.582275 | − | 0.336177i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −19.3672 | − | 6.04603i | −0.162750 | − | 0.0508070i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 29.4571 | − | 51.0212i | 0.243447 | − | 0.421663i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 80.8772 | + | 140.083i | 0.657538 | + | 1.13889i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 87.4546i | 0.699637i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 35.6964i | − | 0.281074i | −0.990075 | − | 0.140537i | \(-0.955117\pi\) | ||
0.990075 | − | 0.140537i | \(-0.0448828\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −94.1127 | − | 163.008i | −0.729556 | − | 1.26363i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −60.6462 | + | 105.042i | −0.462948 | + | 0.801849i | −0.999106 | − | 0.0422680i | \(-0.986542\pi\) |
0.536158 | + | 0.844117i | \(0.319875\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −46.1030 | − | 205.197i | −0.346639 | − | 1.54284i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 13.9632 | + | 8.06168i | 0.103431 | + | 0.0597162i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 4.24835 | + | 7.35836i | 0.0310099 | + | 0.0537107i | 0.881114 | − | 0.472904i | \(-0.156794\pi\) |
−0.850104 | + | 0.526615i | \(0.823461\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.05942 | 0.0220102 | 0.0110051 | − | 0.999939i | \(-0.496497\pi\) | ||||
0.0110051 | + | 0.999939i | \(0.496497\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 328.757i | 2.33161i | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 78.3806 | − | 45.2530i | 0.548116 | − | 0.316455i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 26.2330 | − | 45.4370i | 0.180918 | − | 0.313358i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −176.323 | + | 83.4433i | −1.19947 | + | 0.567642i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 27.4740 | + | 15.8621i | 0.184389 | + | 0.106457i | 0.589353 | − | 0.807876i | \(-0.299383\pi\) |
−0.404964 | + | 0.914333i | \(0.632716\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −219.621 | + | 126.798i | −1.45444 | + | 0.839723i | −0.998729 | − | 0.0504039i | \(-0.983949\pi\) |
−0.455713 | + | 0.890127i | \(0.650616\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −19.8502 | −0.129740 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 42.3249 | 0.273064 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −42.7187 | + | 24.6636i | −0.272093 | + | 0.157093i | −0.629839 | − | 0.776726i | \(-0.716879\pi\) |
0.357745 | + | 0.933819i | \(0.383546\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 92.6875 | + | 53.5132i | 0.582940 | + | 0.336561i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −263.275 | + | 59.1516i | −1.63525 | + | 0.367402i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 57.8597 | − | 100.216i | 0.354967 | − | 0.614821i | −0.632145 | − | 0.774850i | \(-0.717825\pi\) |
0.987112 | + | 0.160029i | \(0.0511587\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 51.1401 | − | 29.5258i | 0.309940 | − | 0.178944i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | − | 32.3859i | − | 0.193928i | −0.995288 | − | 0.0969639i | \(-0.969087\pi\) | ||
0.995288 | − | 0.0969639i | \(-0.0309131\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 37.0641 | 0.219314 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −102.882 | − | 178.197i | −0.601649 | − | 1.04209i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 179.479 | + | 103.622i | 1.03745 | + | 0.598973i | 0.919110 | − | 0.394000i | \(-0.128909\pi\) |
0.118341 | + | 0.992973i | \(0.462242\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 143.369 | + | 44.7568i | 0.819252 | + | 0.255753i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −20.7234 | + | 35.8941i | −0.117082 | + | 0.202791i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 87.0837 | + | 150.833i | 0.486501 | + | 0.842644i | 0.999880 | − | 0.0155178i | \(-0.00493966\pi\) |
−0.513379 | + | 0.858162i | \(0.671606\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 204.244i | 1.12842i | 0.825632 | + | 0.564209i | \(0.190819\pi\) | ||||
−0.825632 | + | 0.564209i | \(0.809181\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 88.2291i | 0.482126i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 42.8793 | + | 74.2691i | 0.231780 | + | 0.401455i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 11.4190 | − | 19.7783i | 0.0610642 | − | 0.105766i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 44.0871 | − | 40.6293i | 0.233265 | − | 0.214970i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 258.518 | + | 149.255i | 1.35350 | + | 0.781442i | 0.988737 | − | 0.149660i | \(-0.0478180\pi\) |
0.364759 | + | 0.931102i | \(0.381151\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 165.381 | + | 286.448i | 0.856896 | + | 1.48419i | 0.874875 | + | 0.484349i | \(0.160943\pi\) |
−0.0179791 | + | 0.999838i | \(0.505723\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −86.0828 | −0.441450 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 327.309i | − | 1.66146i | −0.556672 | − | 0.830732i | \(-0.687922\pi\) | ||
0.556672 | − | 0.830732i | \(-0.312078\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −11.0295 | + | 6.36789i | −0.0554246 | + | 0.0319994i | −0.527456 | − | 0.849582i | \(-0.676854\pi\) |
0.472032 | + | 0.881582i | \(0.343521\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −118.057 | + | 204.481i | −0.587349 | + | 1.01732i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −132.210 | − | 143.461i | −0.651278 | − | 0.706705i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 66.2416 | + | 38.2446i | 0.323130 | + | 0.186559i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −228.632 | + | 132.001i | −1.10450 | + | 0.637686i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 236.736 | 1.13271 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −120.455 | −0.570875 | −0.285437 | − | 0.958397i | \(-0.592139\pi\) | ||||
−0.285437 | + | 0.958397i | \(0.592139\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 131.888 | − | 76.1454i | 0.619191 | − | 0.357490i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −77.0820 | − | 44.5033i | −0.358521 | − | 0.206992i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 46.8991 | − | 150.231i | 0.216125 | − | 0.692311i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −27.8230 | + | 48.1909i | −0.127046 | + | 0.220050i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −28.8320 | + | 16.6461i | −0.130461 | + | 0.0753219i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 372.958i | − | 1.67246i | −0.548382 | − | 0.836228i | \(-0.684756\pi\) | ||
0.548382 | − | 0.836228i | \(-0.315244\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 146.944 | 0.653086 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 36.7128 | + | 63.5885i | 0.161730 | + | 0.280125i | 0.935489 | − | 0.353355i | \(-0.114959\pi\) |
−0.773759 | + | 0.633480i | \(0.781626\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −367.587 | − | 212.226i | −1.60518 | − | 0.926752i | −0.990428 | − | 0.138034i | \(-0.955922\pi\) |
−0.614755 | − | 0.788718i | \(-0.710745\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −48.1342 | − | 214.238i | −0.208373 | − | 0.927436i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 41.7070 | − | 72.2386i | 0.179000 | − | 0.310037i | −0.762538 | − | 0.646943i | \(-0.776047\pi\) |
0.941538 | + | 0.336906i | \(0.109380\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 77.7301 | + | 134.632i | 0.330766 | + | 0.572904i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 203.787i | 0.859861i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 112.561i | 0.470967i | 0.971878 | + | 0.235484i | \(0.0756674\pi\) | ||||
−0.971878 | + | 0.235484i | \(0.924333\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −140.216 | − | 242.861i | −0.581809 | − | 1.00772i | −0.995265 | − | 0.0971992i | \(-0.969012\pi\) |
0.413455 | − | 0.910524i | \(-0.364322\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 152.019 | − | 263.304i | 0.625591 | − | 1.08356i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −52.4786 | + | 75.8608i | −0.214198 | + | 0.309636i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −298.868 | − | 172.552i | −1.20999 | − | 0.698589i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −178.043 | − | 308.380i | −0.715033 | − | 1.23847i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 32.9560 | 0.131299 | 0.0656493 | − | 0.997843i | \(-0.479088\pi\) | ||||
0.0656493 | + | 0.997843i | \(0.479088\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 303.740i | − | 1.20055i | ||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −18.8117 | + | 10.8609i | −0.0737714 | + | 0.0425919i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 112.109 | − | 194.179i | 0.436223 | − | 0.755561i | −0.561172 | − | 0.827700i | \(-0.689649\pi\) |
0.997395 | + | 0.0721390i | \(0.0229825\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 311.130 | − | 69.9036i | 1.20127 | − | 0.269898i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −165.300 | − | 95.4357i | −0.633332 | − | 0.365654i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 147.190 | − | 84.9804i | 0.559659 | − | 0.323119i | −0.193350 | − | 0.981130i | \(-0.561935\pi\) |
0.753009 | + | 0.658011i | \(0.228602\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 50.6098 | 0.190980 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 419.034 | 1.56942 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 93.9863 | − | 54.2630i | 0.349391 | − | 0.201721i | −0.315026 | − | 0.949083i | \(-0.602013\pi\) |
0.664417 | + | 0.747362i | \(0.268680\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −16.7690 | − | 9.68157i | −0.0618781 | − | 0.0357253i | 0.468742 | − | 0.883335i | \(-0.344707\pi\) |
−0.530620 | + | 0.847610i | \(0.678041\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −95.3861 | + | 305.549i | −0.349400 | + | 1.11923i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −84.5313 | + | 146.412i | −0.307386 | + | 0.532409i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 112.104 | − | 64.7231i | 0.404707 | − | 0.233658i | −0.283806 | − | 0.958882i | \(-0.591597\pi\) |
0.688513 | + | 0.725224i | \(0.258264\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | − | 153.978i | − | 0.551892i | ||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 83.3608 | 0.296658 | 0.148329 | − | 0.988938i | \(-0.452611\pi\) | ||||
0.148329 | + | 0.988938i | \(0.452611\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.4646 | + | 25.0535i | 0.0511118 | + | 0.0885282i | 0.890449 | − | 0.455082i | \(-0.150390\pi\) |
−0.839338 | + | 0.543611i | \(0.817057\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −194.999 | − | 112.583i | −0.684208 | − | 0.395028i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 209.149 | − | 192.746i | 0.728742 | − | 0.671587i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 140.300 | − | 243.006i | 0.485466 | − | 0.840851i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −110.135 | − | 190.760i | −0.378472 | − | 0.655533i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | − | 214.613i | − | 0.732468i | −0.930523 | − | 0.366234i | \(-0.880647\pi\) | ||
0.930523 | − | 0.366234i | \(-0.119353\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 19.5991i | 0.0664376i | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 33.7429 | + | 58.4444i | 0.113612 | + | 0.196783i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −221.389 | + | 383.457i | −0.740432 | + | 1.28247i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −243.376 | + | 224.288i | −0.808559 | + | 0.745144i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −108.370 | − | 62.5675i | −0.357657 | − | 0.206493i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 20.8606 | + | 36.1316i | 0.0683953 | + | 0.118464i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 120.542 | 0.392644 | 0.196322 | − | 0.980539i | \(-0.437100\pi\) | ||||
0.196322 | + | 0.980539i | \(0.437100\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 318.427i | 1.03051i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −281.771 | + | 162.681i | −0.906016 | + | 0.523089i | −0.879147 | − | 0.476550i | \(-0.841887\pi\) |
−0.0268689 | + | 0.999639i | \(0.508554\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −228.378 | + | 395.562i | −0.729642 | + | 1.26378i | 0.227392 | + | 0.973803i | \(0.426980\pi\) |
−0.957034 | + | 0.289974i | \(0.906353\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −26.8936 | + | 86.1482i | −0.0853767 | + | 0.273486i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 104.980 | + | 60.6102i | 0.331167 | + | 0.191199i | 0.656359 | − | 0.754449i | \(-0.272096\pi\) |
−0.325192 | + | 0.945648i | \(0.605429\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 190.180 | − | 109.801i | 0.596177 | − | 0.344203i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −194.128 | −0.604761 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −87.0822 | −0.269604 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 213.434 | − | 123.226i | 0.656719 | − | 0.379157i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 396.721 | + | 229.047i | 1.21321 | + | 0.700449i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 564.006 | − | 126.719i | 1.71430 | − | 0.385164i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 60.5842 | − | 104.935i | 0.183034 | − | 0.317024i | −0.759878 | − | 0.650065i | \(-0.774742\pi\) |
0.942912 | + | 0.333041i | \(0.108075\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 270.191 | − | 155.995i | 0.811384 | − | 0.468453i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 111.652i | 0.333290i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −464.021 | −1.37692 | −0.688459 | − | 0.725275i | \(-0.741713\pi\) | ||||
−0.688459 | + | 0.725275i | \(0.741713\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 110.985 | + | 192.232i | 0.327390 | + | 0.567056i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 153.420 | + | 88.5773i | 0.449913 | + | 0.259758i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 211.116 | + | 270.331i | 0.615499 | + | 0.788137i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −144.448 | + | 250.190i | −0.418688 | + | 0.725190i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −185.593 | − | 321.457i | −0.534851 | − | 0.926388i | −0.999171 | − | 0.0407208i | \(-0.987035\pi\) |
0.464320 | − | 0.885667i | \(-0.346299\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 207.871i | 0.595619i | 0.954625 | + | 0.297809i | \(0.0962560\pi\) | ||||
−0.954625 | + | 0.297809i | \(0.903744\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 98.3779i | − | 0.280279i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 307.007 | + | 531.751i | 0.869708 | + | 1.50638i | 0.862296 | + | 0.506405i | \(0.169026\pi\) |
0.00741211 | + | 0.999973i | \(0.497641\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 36.0071 | − | 62.3661i | 0.101428 | − | 0.175679i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 17.7060 | + | 78.8065i | 0.0495965 | + | 0.220746i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 93.5930 | + | 54.0359i | 0.260705 | + | 0.150518i | 0.624656 | − | 0.780900i | \(-0.285239\pi\) |
−0.363951 | + | 0.931418i | \(0.618573\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −270.841 | − | 469.110i | −0.750252 | − | 1.29947i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −234.539 | −0.646113 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 26.3135i | 0.0720917i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −393.881 | + | 227.407i | −1.07325 | + | 0.619639i | −0.929067 | − | 0.369913i | \(-0.879388\pi\) |
−0.144179 | + | 0.989552i | \(0.546054\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 139.134 | − | 240.987i | 0.377056 | − | 0.653081i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 56.0794 | − | 179.639i | 0.151157 | − | 0.484201i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 235.344 | + | 135.876i | 0.630949 | + | 0.364279i | 0.781119 | − | 0.624382i | \(-0.214649\pi\) |
−0.150171 | + | 0.988660i | \(0.547982\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 301.515 | − | 174.080i | 0.804039 | − | 0.464212i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −320.126 | −0.849140 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −268.351 | −0.708051 | −0.354026 | − | 0.935236i | \(-0.615187\pi\) | ||||
−0.354026 | + | 0.935236i | \(0.615187\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −123.069 | + | 71.0541i | −0.323017 | + | 0.186494i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −283.718 | − | 163.805i | −0.740779 | − | 0.427689i | 0.0815738 | − | 0.996667i | \(-0.474005\pi\) |
−0.822352 | + | 0.568979i | \(0.807339\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −70.3655 | − | 76.3539i | −0.182767 | − | 0.198322i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −161.903 | + | 280.424i | −0.418354 | + | 0.724610i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −109.380 | + | 63.1506i | −0.281183 | + | 0.162341i | −0.633959 | − | 0.773367i | \(-0.718571\pi\) |
0.352776 | + | 0.935708i | \(0.385238\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 111.729i | 0.285753i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 482.869 | 1.22867 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 48.1826 | + | 83.4548i | 0.121981 | + | 0.211278i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −110.110 | − | 63.5720i | −0.277355 | − | 0.160131i | 0.354870 | − | 0.934916i | \(-0.384525\pi\) |
−0.632225 | + | 0.774784i | \(0.717858\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −615.685 | + | 567.396i | −1.54307 | + | 1.42205i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −30.0751 | + | 52.0916i | −0.0750003 | + | 0.129904i | −0.901086 | − | 0.433640i | \(-0.857229\pi\) |
0.826086 | + | 0.563544i | \(0.190562\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −129.124 | − | 223.650i | −0.320408 | − | 0.554962i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | − | 180.221i | − | 0.444991i | ||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 358.950i | 0.881941i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 34.8873 | + | 60.4267i | 0.0852991 | + | 0.147742i | 0.905519 | − | 0.424306i | \(-0.139482\pi\) |
−0.820220 | + | 0.572049i | \(0.806149\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 16.9128 | − | 29.2939i | 0.0411504 | − | 0.0712746i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 69.5666 | + | 21.7172i | 0.168442 | + | 0.0525841i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −145.824 | − | 84.1918i | −0.351384 | − | 0.202872i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −6.08982 | − | 10.5479i | −0.0146039 | − | 0.0252947i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −714.794 | −1.70595 | −0.852976 | − | 0.521950i | \(-0.825205\pi\) | ||||
−0.852976 | + | 0.521950i | \(0.825205\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 303.440i | 0.720759i | 0.932806 | + | 0.360380i | \(0.117353\pi\) | ||||
−0.932806 | + | 0.360380i | \(0.882647\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 489.793 | − | 282.782i | 1.15790 | − | 0.668515i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 31.0945 | − | 53.8572i | 0.0731635 | − | 0.126723i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 151.363 | − | 34.0078i | 0.354481 | − | 0.0796435i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −312.035 | − | 180.154i | −0.727355 | − | 0.419939i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −373.685 | + | 215.747i | −0.867019 | + | 0.500574i | −0.866357 | − | 0.499426i | \(-0.833544\pi\) |
−0.000662591 | 1.00000i | \(0.500211\pi\) | ||||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 194.875 | 0.450057 | 0.225029 | − | 0.974352i | \(-0.427752\pi\) | ||||
0.225029 | + | 0.974352i | \(0.427752\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −208.869 | −0.480159 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −1003.00 | + | 579.085i | −2.29521 | + | 1.32514i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 264.977 | + | 152.985i | 0.603593 | + | 0.348485i | 0.770454 | − | 0.637496i | \(-0.220030\pi\) |
−0.166861 | + | 0.985980i | \(0.553363\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 275.981 | + | 190.917i | 0.625808 | + | 0.432918i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 125.099 | − | 216.677i | 0.282390 | − | 0.489113i | −0.689583 | − | 0.724206i | \(-0.742206\pi\) |
0.971973 | + | 0.235093i | \(0.0755396\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 171.603 | − | 99.0748i | 0.385624 | − | 0.222640i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | − | 126.295i | − | 0.282539i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −688.681 | −1.53381 | −0.766905 | − | 0.641761i | \(-0.778204\pi\) | ||||
−0.766905 | + | 0.641761i | \(0.778204\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 160.076 | + | 277.260i | 0.354936 | + | 0.614768i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 874.317 | + | 504.787i | 1.93006 | + | 1.11432i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 33.1805 | + | 147.681i | 0.0729242 | + | 0.324574i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −402.259 | + | 696.733i | −0.880217 | + | 1.52458i | −0.0291166 | + | 0.999576i | \(0.509269\pi\) |
−0.851100 | + | 0.525004i | \(0.824064\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −12.4122 | − | 21.4985i | −0.0270418 | − | 0.0468378i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − | 693.657i | − | 1.50468i | −0.658776 | − | 0.752339i | \(-0.728926\pi\) | ||
0.658776 | − | 0.752339i | \(-0.271074\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 321.194i | − | 0.693724i | −0.937916 | − | 0.346862i | \(-0.887247\pi\) | ||
0.937916 | − | 0.346862i | \(-0.112753\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −84.2484 | − | 145.922i | −0.181179 | − | 0.313812i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 375.937 | − | 651.142i | 0.805005 | − | 1.39431i | −0.111283 | − | 0.993789i | \(-0.535496\pi\) |
0.916288 | − | 0.400521i | \(-0.131171\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 396.307 | + | 123.719i | 0.845004 | + | 0.263792i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 170.064 | + | 98.1867i | 0.361071 | + | 0.208464i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −186.273 | − | 322.634i | −0.393811 | − | 0.682101i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 644.642 | 1.35714 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − | 184.118i | − | 0.385992i | ||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 625.392 | − | 361.070i | 1.30562 | − | 0.753800i | 0.324257 | − | 0.945969i | \(-0.394886\pi\) |
0.981362 | + | 0.192169i | \(0.0615523\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 261.631 | − | 453.158i | 0.543932 | − | 0.942117i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 727.988 | + | 789.943i | 1.50722 | + | 1.63549i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −90.2052 | − | 52.0800i | −0.185990 | − | 0.107381i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 41.4211 | − | 23.9145i | 0.0850536 | − | 0.0491057i | −0.456870 | − | 0.889533i | \(-0.651030\pi\) |
0.541924 | + | 0.840428i | \(0.317696\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −460.682 | −0.942090 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −44.4724 | −0.0905752 | −0.0452876 | − | 0.998974i | \(-0.514420\pi\) | ||||
−0.0452876 | + | 0.998974i | \(0.514420\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −69.9571 | + | 40.3898i | −0.141901 | + | 0.0819265i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −87.9769 | − | 50.7935i | −0.177731 | − | 0.102613i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −181.469 | − | 196.913i | −0.365128 | − | 0.396203i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −250.786 | + | 434.374i | −0.502577 | + | 0.870489i | 0.497418 | + | 0.867511i | \(0.334281\pi\) |
−0.999996 | + | 0.00297862i | \(0.999052\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −111.656 | + | 64.4647i | −0.222867 | + | 0.128672i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 462.733i | 0.919946i | 0.887933 | + | 0.459973i | \(0.152141\pi\) | ||||
−0.887933 | + | 0.459973i | \(0.847859\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −59.1729 | −0.117174 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −73.7767 | − | 127.785i | −0.145516 | − | 0.252041i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 408.751 | + | 235.992i | 0.803046 | + | 0.463639i | 0.844535 | − | 0.535500i | \(-0.179877\pi\) |
−0.0414889 | + | 0.999139i | \(0.513210\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 93.3992 | + | 29.1573i | 0.182777 | + | 0.0570592i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 128.663 | − | 222.851i | 0.250805 | − | 0.434407i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 75.2878 | + | 130.402i | 0.146190 | + | 0.253208i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 650.693i | 1.25859i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | − | 825.047i | − | 1.58969i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 45.3709 | + | 78.5848i | 0.0870843 | + | 0.150834i | 0.906277 | − | 0.422683i | \(-0.138912\pi\) |
−0.819193 | + | 0.573518i | \(0.805578\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −180.256 | + | 312.213i | −0.344658 | + | 0.596965i | −0.985292 | − | 0.170882i | \(-0.945338\pi\) |
0.640634 | + | 0.767847i | \(0.278672\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −131.072 | − | 583.379i | −0.249660 | − | 1.11120i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −56.4351 | − | 32.5828i | −0.107087 | − | 0.0618270i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 478.485 | + | 828.760i | 0.904509 | + | 1.56665i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 71.3014 | 0.134278 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 466.705i | − | 0.875618i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −79.4994 | + | 45.8990i | −0.148597 | + | 0.0857925i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 346.683 | − | 600.472i | 0.645592 | − | 1.11820i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −348.987 | + | 165.155i | −0.647471 | + | 0.306410i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −485.969 | − | 280.574i | −0.898278 | − | 0.518621i | −0.0216371 | − | 0.999766i | \(-0.506888\pi\) |
−0.876641 | + | 0.481145i | \(0.840221\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 704.166 | − | 406.550i | 1.29681 | − | 0.748712i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 216.620 | 0.397468 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −1043.62 | −1.90790 | −0.953952 | − | 0.299960i | \(-0.903027\pi\) | ||||
−0.953952 | + | 0.299960i | \(0.903027\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 131.447 | − | 75.8907i | 0.239429 | − | 0.138234i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −725.165 | − | 418.674i | −1.31609 | − | 0.759845i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 349.611 | − | 78.5494i | 0.632208 | − | 0.142042i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 170.704 | − | 295.667i | 0.307574 | − | 0.532734i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 42.1273 | − | 24.3222i | 0.0756324 | − | 0.0436664i | −0.461707 | − | 0.887033i | \(-0.652763\pi\) |
0.537339 | + | 0.843366i | \(0.319429\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 543.081i | 0.971522i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −90.9189 | −0.162066 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 363.015 | + | 628.761i | 0.644787 | + | 1.11680i | 0.984351 | + | 0.176221i | \(0.0563874\pi\) |
−0.339563 | + | 0.940583i | \(0.610279\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 90.9012 | + | 52.4818i | 0.160887 | + | 0.0928882i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −639.692 | − | 199.698i | −1.12820 | − | 0.352202i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 240.696 | − | 416.898i | 0.423016 | − | 0.732685i | −0.573217 | − | 0.819404i | \(-0.694305\pi\) |
0.996233 | + | 0.0867185i | \(0.0276381\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 55.0633 | + | 95.3724i | 0.0964331 | + | 0.167027i | 0.910206 | − | 0.414156i | \(-0.135923\pi\) |
−0.813773 | + | 0.581183i | \(0.802590\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − | 1188.38i | − | 2.07396i | ||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 827.097i | − | 1.43843i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 101.168 | + | 175.228i | 0.175335 | + | 0.303688i | 0.940277 | − | 0.340410i | \(-0.110566\pi\) |
−0.764942 | + | 0.644099i | \(0.777233\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 658.386 | − | 1140.36i | 1.13711 | − | 1.96953i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −460.421 | + | 424.310i | −0.792463 | + | 0.730310i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 183.452 | + | 105.916i | 0.314669 | + | 0.181674i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 74.0445 | + | 128.249i | 0.126572 | + | 0.219229i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 568.689 | 0.968805 | 0.484403 | − | 0.874845i | \(-0.339037\pi\) | ||||
0.484403 | + | 0.874845i | \(0.339037\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | − | 675.497i | − | 1.14685i | ||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1128.45 | + | 651.513i | −1.90940 | + | 1.10239i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 342.686 | − | 593.550i | 0.577886 | − | 1.00093i | −0.417835 | − | 0.908523i | \(-0.637211\pi\) |
0.995721 | − | 0.0924054i | \(-0.0294556\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 25.8837 | + | 28.0865i | 0.0435019 | + | 0.0472042i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 43.9088 | + | 25.3507i | 0.0735491 | + | 0.0424636i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −318.077 | + | 183.642i | −0.531013 | + | 0.306580i | −0.741429 | − | 0.671032i | \(-0.765851\pi\) |
0.210416 | + | 0.977612i | \(0.432518\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 412.344 | 0.686097 | 0.343049 | − | 0.939318i | \(-0.388540\pi\) | ||||
0.343049 | + | 0.939318i | \(0.388540\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 406.190 | 0.673615 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −96.0484 | + | 55.4535i | −0.158758 | + | 0.0916588i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 1010.46 | + | 583.389i | 1.66468 | + | 0.961102i | 0.970436 | + | 0.241359i | \(0.0775930\pi\) |
0.694241 | + | 0.719743i | \(0.255740\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −231.442 | + | 741.377i | −0.380036 | + | 1.21737i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 474.276 | − | 821.470i | 0.776229 | − | 1.34447i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −373.900 | + | 215.871i | −0.609951 | + | 0.352155i | −0.772946 | − | 0.634471i | \(-0.781218\pi\) |
0.162995 | + | 0.986627i | \(0.447885\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | − | 304.506i | − | 0.495131i | ||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −333.751 | −0.540926 | −0.270463 | − | 0.962730i | \(-0.587177\pi\) | ||||
−0.270463 | + | 0.962730i | \(0.587177\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −488.158 | − | 845.514i | −0.788624 | − | 1.36594i | −0.926810 | − | 0.375530i | \(-0.877461\pi\) |
0.138187 | − | 0.990406i | \(-0.455873\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −285.925 | − | 165.079i | −0.460426 | − | 0.265827i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −161.516 | − | 718.883i | −0.259255 | − | 1.15390i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −185.884 | + | 321.961i | −0.297414 | + | 0.515137i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −471.226 | − | 816.187i | −0.751556 | − | 1.30173i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 132.038i | − | 0.209918i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 639.885i | − | 1.01408i | −0.861922 | − | 0.507040i | \(-0.830739\pi\) | ||
0.861922 | − | 0.507040i | \(-0.169261\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 239.767 | + | 415.288i | 0.378778 | + | 0.656063i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −33.5995 | + | 58.1961i | −0.0529127 | + | 0.0916474i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 560.958 | + | 45.8681i | 0.880625 | + | 0.0720064i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −226.888 | − | 130.994i | −0.355067 | − | 0.204998i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −10.4295 | − | 18.0645i | −0.0162707 | − | 0.0281817i | 0.857775 | − | 0.514025i | \(-0.171846\pi\) |
−0.874046 | + | 0.485843i | \(0.838513\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 69.1348 | 0.107519 | 0.0537596 | − | 0.998554i | \(-0.482880\pi\) | ||||
0.0537596 | + | 0.998554i | \(0.482880\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 354.338i | 0.549362i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −310.868 | + | 179.480i | −0.480476 | + | 0.277403i | −0.720615 | − | 0.693336i | \(-0.756140\pi\) |
0.240139 | + | 0.970739i | \(0.422807\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −41.0169 | + | 71.0433i | −0.0632001 | + | 0.109466i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −611.302 | + | 137.345i | −0.939021 | + | 0.210976i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 32.1227 | + | 18.5460i | 0.0491925 | + | 0.0284013i | 0.524395 | − | 0.851475i | \(-0.324292\pi\) |
−0.475202 | + | 0.879877i | \(0.657625\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 197.744 | − | 114.168i | 0.301900 | − | 0.174302i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 95.7284 | 0.145705 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −197.302 | −0.299396 | −0.149698 | − | 0.988732i | \(-0.547830\pi\) | ||||
−0.149698 | + | 0.988732i | \(0.547830\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 938.626 | − | 541.916i | 1.42001 | − | 0.819843i | 0.423710 | − | 0.905798i | \(-0.360728\pi\) |
0.996299 | + | 0.0859554i | \(0.0273942\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 114.781 | + | 66.2688i | 0.173124 | + | 0.0999530i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −117.982 | + | 377.930i | −0.177416 | + | 0.568316i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −537.173 | + | 930.411i | −0.805357 | + | 1.39492i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −1285.84 | + | 742.378i | −1.92203 | + | 1.10968i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 174.628i | 0.260250i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −286.066 | −0.425061 | −0.212530 | − | 0.977154i | \(-0.568170\pi\) | ||||
−0.212530 | + | 0.977154i | \(0.568170\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 91.8834 | + | 159.147i | 0.136124 | + | 0.235773i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 433.324 | + | 250.180i | 0.640065 | + | 0.369542i | 0.784640 | − | 0.619952i | \(-0.212848\pi\) |
−0.144575 | + | 0.989494i | \(0.546181\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −284.811 | + | 262.473i | −0.419456 | + | 0.386558i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 146.155 | − | 253.148i | 0.214618 | − | 0.371729i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 473.225 | + | 819.650i | 0.692862 | + | 1.20007i | 0.970896 | + | 0.239501i | \(0.0769840\pi\) |
−0.278034 | + | 0.960571i | \(0.589683\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 15.9952i | − | 0.0233507i | ||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 1689.76i | 2.45962i | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −154.400 | − | 267.428i | −0.224092 | − | 0.388140i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 151.632 | − | 262.634i | 0.219439 | − | 0.380079i | −0.735198 | − | 0.677853i | \(-0.762911\pi\) |
0.954636 | + | 0.297774i | \(0.0962441\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −277.775 | + | 255.989i | −0.400830 | + | 0.369393i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −4.98781 | − | 2.87971i | −0.00717670 | − | 0.00414347i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −58.8834 | − | 101.989i | −0.0844812 | − | 0.146326i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −332.074 | −0.475069 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 390.864i | − | 0.557580i | −0.960352 | − | 0.278790i | \(-0.910067\pi\) | ||
0.960352 | − | 0.278790i | \(-0.0899333\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1185.32 | − | 684.345i | 1.68609 | − | 0.973464i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 309.446 | − | 535.976i | 0.438930 | − | 0.760250i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −65.5679 | + | 210.033i | −0.0927411 | + | 0.297077i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 832.393 | + | 480.582i | 1.17404 | + | 0.677831i | 0.954628 | − | 0.297801i | \(-0.0962533\pi\) |
0.219410 | + | 0.975633i | \(0.429587\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 303.608 | − | 175.288i | 0.427016 | − | 0.246538i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −866.685 | −1.21555 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −170.379 | −0.238293 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 388.074 | − | 224.055i | 0.541247 | − | 0.312489i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 454.773 | + | 262.563i | 0.632507 | + | 0.365178i | 0.781722 | − | 0.623627i | \(-0.214341\pi\) |
−0.149215 | + | 0.988805i | \(0.547675\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 546.285 | − | 122.737i | 0.757677 | − | 0.170232i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −558.204 | + | 966.838i | −0.772067 | + | 1.33726i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 517.870 | − | 298.992i | 0.714304 | − | 0.412403i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 108.633i | 0.149426i | 0.997205 | + | 0.0747131i | \(0.0238041\pi\) | ||||
−0.997205 | + | 0.0747131i | \(0.976196\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −348.775 | −0.478429 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 68.5197 | + | 118.680i | 0.0937341 | + | 0.162352i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 34.8609 | + | 20.1270i | 0.0475593 | + | 0.0274584i | 0.523591 | − | 0.851970i | \(-0.324592\pi\) |
−0.476032 | + | 0.879428i | \(0.657925\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 366.003 | + | 29.9271i | 0.497963 | + | 0.0407171i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −233.665 | + | 404.719i | −0.317049 | + | 0.549144i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 498.602 | + | 863.603i | 0.674698 | + | 1.16861i | 0.976557 | + | 0.215258i | \(0.0690594\pi\) |
−0.301859 | + | 0.953352i | \(0.597607\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1373.87i | 1.85407i | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 476.575i | 0.641420i | 0.947177 | + | 0.320710i | \(0.103922\pi\) | ||||
−0.947177 | + | 0.320710i | \(0.896078\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −29.8607 | − | 51.7203i | −0.0400815 | − | 0.0694232i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −306.289 | + | 530.509i | −0.410026 | + | 0.710186i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 74.8265 | + | 333.041i | 0.0999018 | + | 0.444648i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 457.691 | + | 264.248i | 0.609442 | + | 0.351862i | 0.772747 | − | 0.634714i | \(-0.218882\pi\) |
−0.163305 | + | 0.986576i | \(0.552215\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −65.5993 | − | 113.621i | −0.0871173 | − | 0.150892i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 477.400 | 0.632318 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 455.964i | 0.602331i | 0.953572 | + | 0.301165i | \(0.0973756\pi\) | ||||
−0.953572 | + | 0.301165i | \(0.902624\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1047.19 | + | 604.598i | −1.37970 | + | 0.796572i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −238.325 | + | 412.791i | −0.313174 | + | 0.542433i | −0.979048 | − | 0.203632i | \(-0.934726\pi\) |
0.665874 | + | 0.746064i | \(0.268059\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 240.031 | − | 768.888i | 0.314588 | − | 1.00772i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 32.3619 | + | 18.6842i | 0.0423032 | + | 0.0244238i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 103.564 | − | 59.7927i | 0.135025 | − | 0.0779565i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −568.246 | −0.738941 | −0.369471 | − | 0.929242i | \(-0.620461\pi\) | ||||
−0.369471 | + | 0.929242i | \(0.620461\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −892.621 | −1.15774 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −1036.66 | + | 598.515i | −1.34108 | + | 0.774275i | −0.986967 | − | 0.160925i | \(-0.948552\pi\) |
−0.354118 | + | 0.935201i | \(0.615219\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 417.771 | + | 241.200i | 0.539059 | + | 0.311226i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −860.314 | − | 933.531i | −1.10723 | − | 1.20146i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 610.377 | − | 1057.20i | 0.783539 | − | 1.35713i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 261.039 | − | 150.711i | 0.334237 | − | 0.192972i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 238.701i | − | 0.304855i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 92.8596 | 0.118292 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 226.134 | + | 391.676i | 0.287337 | + | 0.497682i | 0.973173 | − | 0.230074i | \(-0.0738967\pi\) |
−0.685836 | + | 0.727756i | \(0.740563\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −585.969 | − | 338.309i | −0.742673 | − | 0.428783i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 287.008 | − | 264.498i | 0.362843 | − | 0.334385i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 127.282 | − | 220.459i | 0.160507 | − | 0.278007i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −100.740 | − | 174.486i | −0.126716 | − | 0.219479i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 1047.47i | 1.31426i | 0.753777 | + | 0.657130i | \(0.228230\pi\) | ||||
−0.753777 | + | 0.657130i | \(0.771770\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 239.355i | − | 0.299568i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −360.434 | − | 624.290i | −0.449980 | − | 0.779388i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −55.0687 | + | 95.3818i | −0.0685787 | + | 0.118782i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 484.897 | + | 151.375i | 0.602356 | + | 0.188043i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −374.162 | − | 216.023i | −0.463646 | − | 0.267686i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 149.332 | + | 258.651i | 0.184589 | + | 0.319717i | 0.943438 | − | 0.331549i | \(-0.107571\pi\) |
−0.758849 | + | 0.651267i | \(0.774238\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −633.054 | −0.780584 | −0.390292 | − | 0.920691i | \(-0.627626\pi\) | ||||
−0.390292 | + | 0.920691i | \(0.627626\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 77.0852i | 0.0948158i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −188.658 | + | 108.922i | −0.231483 | + | 0.133647i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −710.265 | + | 1230.21i | −0.869357 | + | 1.50577i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 537.264 | − | 120.711i | 0.656000 | − | 0.147388i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −1083.83 | − | 625.749i | −1.32013 | − | 0.762178i | −0.336382 | − | 0.941725i | \(-0.609203\pi\) |
−0.983749 | + | 0.179547i | \(0.942537\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −1062.45 | + | 613.409i | −1.29095 | + | 0.745332i | −0.978823 | − | 0.204707i | \(-0.934376\pi\) |
−0.312130 | + | 0.950039i | \(0.601043\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 673.043 | 0.815810 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 1438.26 | 1.73913 | 0.869566 | − | 0.493816i | \(-0.164398\pi\) | ||||
0.869566 | + | 0.493816i | \(0.164398\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 542.554 | − | 313.244i | 0.654468 | − | 0.377858i | −0.135698 | − | 0.990750i | \(-0.543328\pi\) |
0.790166 | + | 0.612893i | \(0.209994\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −446.289 | − | 257.665i | −0.537050 | − | 0.310066i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 128.373 | − | 60.7517i | 0.154110 | − | 0.0729312i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −30.4836 | + | 52.7991i | −0.0365073 | + | 0.0632325i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 166.764 | − | 96.2814i | 0.199240 | − | 0.115032i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | − | 1062.37i | − | 1.26624i | −0.774055 | − | 0.633118i | \(-0.781775\pi\) | ||
0.774055 | − | 0.633118i | \(-0.218225\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 64.2558 | 0.0764041 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −165.931 | − | 287.401i | −0.196834 | − | 0.340926i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −60.4260 | − | 34.8870i | −0.0715101 | − | 0.0412864i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 90.4027 | + | 402.368i | 0.106733 | + | 0.475051i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 57.5842 | − | 99.7387i | 0.0678259 | − | 0.117478i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −878.037 | − | 1520.80i | −1.03177 | − | 1.78708i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 698.388i | − | 0.818743i | −0.912368 | − | 0.409372i | \(-0.865748\pi\) | ||
0.912368 | − | 0.409372i | \(-0.134252\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 387.355i | 0.453047i | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 365.162 | + | 632.479i | 0.426094 | + | 0.738016i | 0.996522 | − | 0.0833317i | \(-0.0265561\pi\) |
−0.570428 | + | 0.821347i | \(0.693223\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −483.130 | + | 836.805i | −0.562433 | + | 0.974162i | 0.434851 | + | 0.900502i | \(0.356801\pi\) |
−0.997283 | + | 0.0736593i | \(0.976532\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −1080.84 | − | 337.415i | −1.25533 | − | 0.391887i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 255.023 | + | 147.237i | 0.295507 | + | 0.170611i | 0.640423 | − | 0.768023i | \(-0.278759\pi\) |
−0.344916 | + | 0.938634i | \(0.612093\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −195.071 | − | 337.873i | −0.225516 | − | 0.390605i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −1117.07 | −1.28844 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 403.346i | 0.464149i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 589.983 | − | 340.627i | 0.677362 | − | 0.391075i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −189.467 | + | 328.166i | −0.217030 | + | 0.375906i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −414.864 | − | 450.171i | −0.474131 | − | 0.514482i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −818.300 | − | 472.446i | −0.933067 | − | 0.538706i | −0.0452867 | − | 0.998974i | \(-0.514420\pi\) |
−0.887780 | + | 0.460268i | \(0.847753\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −739.916 | + | 427.191i | −0.841770 | + | 0.485996i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 744.098 | 0.844606 | 0.422303 | − | 0.906455i | \(-0.361222\pi\) | ||||
0.422303 | + | 0.906455i | \(0.361222\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −23.9032 | −0.0270704 | −0.0135352 | − | 0.999908i | \(-0.504309\pi\) | ||||
−0.0135352 | + | 0.999908i | \(0.504309\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 67.5713 | − | 39.0123i | 0.0763517 | − | 0.0440817i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −820.397 | − | 473.656i | −0.924912 | − | 0.533998i | −0.0397129 | − | 0.999211i | \(-0.512644\pi\) |
−0.885199 | + | 0.465213i | \(0.845978\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 169.335 | + | 183.747i | 0.190478 | + | 0.206689i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 377.166 | − | 653.271i | 0.423307 | − | 0.733189i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 2148.71 | − | 1240.56i | 2.40617 | − | 1.38920i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 327.874i | − | 0.366339i | ||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 1762.71 | 1.96512 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −313.304 | − | 542.658i | −0.348502 | − | 0.603624i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −67.4820 | − | 38.9607i | −0.0748968 | − | 0.0432417i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 1257.72 | + | 392.633i | 1.39282 | + | 0.434809i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 192.247 | − | 332.981i | 0.212427 | − | 0.367935i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 275.512 | + | 477.200i | 0.303761 | + | 0.526130i | 0.976985 | − | 0.213309i | \(-0.0684241\pi\) |
−0.673223 | + | 0.739439i | \(0.735091\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 215.271i | 0.236822i | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 827.652i | 0.908509i | 0.890872 | + | 0.454254i | \(0.150094\pi\) | ||||
−0.890872 | + | 0.454254i | \(0.849906\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −352.392 | − | 610.361i | −0.385972 | − | 0.668523i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 83.0466 | − | 143.841i | 0.0907613 | − | 0.157203i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −186.121 | − | 828.396i | −0.202967 | − | 0.903376i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 309.165 | + | 178.497i | 0.336415 | + | 0.194229i | 0.658685 | − | 0.752418i | \(-0.271113\pi\) |
−0.322271 | + | 0.946648i | \(0.604446\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −239.940 | − | 415.588i | −0.260521 | − | 0.451236i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −439.400 | −0.476056 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 977.438i | 1.05669i | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 474.403 | − | 273.897i | 0.511762 | − | 0.295466i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −484.873 | + | 839.824i | −0.521930 | + | 0.904009i | 0.477745 | + | 0.878499i | \(0.341454\pi\) |
−0.999675 | + | 0.0255102i | \(0.991879\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1210.72 | + | 837.549i | 1.30045 | + | 0.899623i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 1121.74 | + | 647.636i | 1.20229 | + | 0.694144i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −37.2331 | + | 21.4965i | −0.0398215 | + | 0.0229909i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 1287.55 | 1.37412 | 0.687061 | − | 0.726600i | \(-0.258901\pi\) | ||||
0.687061 | + | 0.726600i | \(0.258901\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 1818.36 | 1.93649 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −395.597 | + | 228.398i | −0.420400 | + | 0.242718i | −0.695249 | − | 0.718769i | \(-0.744706\pi\) |
0.274848 | + | 0.961488i | \(0.411372\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1356.43 | − | 783.133i | −1.43842 | − | 0.830470i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −110.118 | + | 24.7410i | −0.116527 | + | 0.0261810i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −573.925 | + | 994.067i | −0.606045 | + | 1.04970i | 0.385840 | + | 0.922566i | \(0.373912\pi\) |
−0.991885 | + | 0.127135i | \(0.959422\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 139.044 | − | 80.2768i | 0.146516 | − | 0.0845910i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 482.582i | − | 0.507447i | ||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 873.170 | 0.916232 | 0.458116 | − | 0.888892i | \(-0.348524\pi\) | ||||
0.458116 | + | 0.888892i | \(0.348524\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −280.976 | − | 486.665i | −0.294216 | − | 0.509597i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −757.114 | − | 437.120i | −0.791133 | − | 0.456761i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −56.7747 | − | 17.7239i | −0.0592020 | − | 0.0184816i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −227.755 | + | 394.483i | −0.236998 | + | 0.410492i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 166.980 | + | 289.219i | 0.173396 | + | 0.300331i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | − | 622.666i | − | 0.645249i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 449.047i | − | 0.464372i | −0.972671 | − | 0.232186i | \(-0.925412\pi\) | ||
0.972671 | − | 0.232186i | \(-0.0745878\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 173.339 | + | 300.231i | 0.178884 | + | 0.309836i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −618.929 | + | 1072.02i | −0.637414 | + | 1.10403i | 0.348584 | + | 0.937278i | \(0.386663\pi\) |
−0.985998 | + | 0.166756i | \(0.946671\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −15.7483 | + | 14.5132i | −0.0161853 | + | 0.0149159i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −849.687 | − | 490.567i | −0.871473 | − | 0.503145i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −853.445 | − | 1478.21i | −0.873536 | − | 1.51301i | −0.858314 | − | 0.513125i | \(-0.828488\pi\) |
−0.0152219 | − | 0.999884i | \(-0.504845\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 829.373 | 0.847164 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | − | 788.063i | − | 0.803326i | ||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 997.793 | − | 576.076i | 1.01505 | − | 0.586039i | 0.102383 | − | 0.994745i | \(-0.467353\pi\) |
0.912666 | + | 0.408706i | \(0.134020\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −308.082 | + | 533.614i | −0.312774 | + | 0.541741i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −1559.55 | − | 1692.27i | −1.58009 | − | 1.71456i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 1578.41 | + | 911.293i | 1.59596 | + | 0.921429i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 357.511 | − | 206.409i | 0.360758 | − | 0.208283i | −0.308655 | − | 0.951174i | \(-0.599879\pi\) |
0.669413 | + | 0.742890i | \(0.266546\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −482.375 | −0.485776 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 23.9753 | 0.0240958 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 260.805 | − | 150.576i | 0.261590 | − | 0.151029i | −0.363470 | − | 0.931606i | \(-0.618408\pi\) |
0.625060 | + | 0.780577i | \(0.285075\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 337.897 | + | 195.085i | 0.338235 | + | 0.195280i |
(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 | 224.3.o.d.79.1 | 12 | ||
4.3 | odd | 2 | 56.3.k.d.51.3 | yes | 12 | ||
7.2 | even | 3 | 1568.3.g.j.687.6 | 6 | |||
7.4 | even | 3 | inner | 224.3.o.d.207.2 | 12 | ||
7.5 | odd | 6 | 1568.3.g.l.687.1 | 6 | |||
8.3 | odd | 2 | inner | 224.3.o.d.79.2 | 12 | ||
8.5 | even | 2 | 56.3.k.d.51.1 | yes | 12 | ||
28.3 | even | 6 | 392.3.k.l.67.1 | 12 | |||
28.11 | odd | 6 | 56.3.k.d.11.1 | ✓ | 12 | ||
28.19 | even | 6 | 392.3.g.i.99.5 | 6 | |||
28.23 | odd | 6 | 392.3.g.j.99.5 | 6 | |||
28.27 | even | 2 | 392.3.k.l.275.3 | 12 | |||
56.5 | odd | 6 | 392.3.g.i.99.6 | 6 | |||
56.11 | odd | 6 | inner | 224.3.o.d.207.1 | 12 | ||
56.13 | odd | 2 | 392.3.k.l.275.1 | 12 | |||
56.19 | even | 6 | 1568.3.g.l.687.2 | 6 | |||
56.37 | even | 6 | 392.3.g.j.99.6 | 6 | |||
56.45 | odd | 6 | 392.3.k.l.67.3 | 12 | |||
56.51 | odd | 6 | 1568.3.g.j.687.5 | 6 | |||
56.53 | even | 6 | 56.3.k.d.11.3 | yes | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
56.3.k.d.11.1 | ✓ | 12 | 28.11 | odd | 6 | ||
56.3.k.d.11.3 | yes | 12 | 56.53 | even | 6 | ||
56.3.k.d.51.1 | yes | 12 | 8.5 | even | 2 | ||
56.3.k.d.51.3 | yes | 12 | 4.3 | odd | 2 | ||
224.3.o.d.79.1 | 12 | 1.1 | even | 1 | trivial | ||
224.3.o.d.79.2 | 12 | 8.3 | odd | 2 | inner | ||
224.3.o.d.207.1 | 12 | 56.11 | odd | 6 | inner | ||
224.3.o.d.207.2 | 12 | 7.4 | even | 3 | inner | ||
392.3.g.i.99.5 | 6 | 28.19 | even | 6 | |||
392.3.g.i.99.6 | 6 | 56.5 | odd | 6 | |||
392.3.g.j.99.5 | 6 | 28.23 | odd | 6 | |||
392.3.g.j.99.6 | 6 | 56.37 | even | 6 | |||
392.3.k.l.67.1 | 12 | 28.3 | even | 6 | |||
392.3.k.l.67.3 | 12 | 56.45 | odd | 6 | |||
392.3.k.l.275.1 | 12 | 56.13 | odd | 2 | |||
392.3.k.l.275.3 | 12 | 28.27 | even | 2 | |||
1568.3.g.j.687.5 | 6 | 56.51 | odd | 6 | |||
1568.3.g.j.687.6 | 6 | 7.2 | even | 3 | |||
1568.3.g.l.687.1 | 6 | 7.5 | odd | 6 | |||
1568.3.g.l.687.2 | 6 | 56.19 | even | 6 |