Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [45,4,Mod(4,45)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(45, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("45.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 45 = 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 45.j (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.65508595026\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 4.5 | ||
Character | \(\chi\) | \(=\) | 45.4 |
Dual form | 45.4.j.a.34.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/45\mathbb{Z}\right)^\times\).
\(n\) | \(11\) | \(37\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.31667 | + | 1.33753i | −0.819068 | + | 0.472889i | −0.850095 | − | 0.526630i | \(-0.823455\pi\) |
0.0310272 | + | 0.999519i | \(0.490122\pi\) | |||||||
\(3\) | −5.14958 | − | 0.694136i | −0.991037 | − | 0.133587i | ||||
\(4\) | −0.422017 | + | 0.730954i | −0.0527521 | + | 0.0913693i | ||||
\(5\) | 7.31972 | − | 8.45113i | 0.654696 | − | 0.755892i | ||||
\(6\) | 12.8583 | − | 5.27964i | 0.874898 | − | 0.359234i | ||||
\(7\) | 13.3501 | − | 7.70766i | 0.720835 | − | 0.416175i | −0.0942246 | − | 0.995551i | \(-0.530037\pi\) |
0.815060 | + | 0.579376i | \(0.196704\pi\) | |||||||
\(8\) | − | 23.6584i | − | 1.04556i | ||||||
\(9\) | 26.0363 | + | 7.14902i | 0.964309 | + | 0.264779i | ||||
\(10\) | −5.65374 | + | 29.3689i | −0.178787 | + | 0.928726i | ||||
\(11\) | −22.2799 | − | 38.5899i | −0.610694 | − | 1.05775i | −0.991124 | − | 0.132944i | \(-0.957557\pi\) |
0.380429 | − | 0.924810i | \(-0.375776\pi\) | |||||||
\(12\) | 2.68059 | − | 3.47117i | 0.0644850 | − | 0.0835034i | ||||
\(13\) | 24.2689 | + | 14.0117i | 0.517768 | + | 0.298933i | 0.736021 | − | 0.676959i | \(-0.236702\pi\) |
−0.218253 | + | 0.975892i | \(0.570036\pi\) | |||||||
\(14\) | −20.6185 | + | 35.7123i | −0.393609 | + | 0.681750i | ||||
\(15\) | −43.5597 | + | 38.4389i | −0.749805 | + | 0.661659i | ||||
\(16\) | 28.2677 | + | 48.9610i | 0.441682 | + | 0.765016i | ||||
\(17\) | − | 92.6615i | − | 1.32198i | −0.750394 | − | 0.660991i | \(-0.770136\pi\) | ||
0.750394 | − | 0.660991i | \(-0.229864\pi\) | |||||||
\(18\) | −69.8798 | + | 18.2625i | −0.915045 | + | 0.239140i | ||||
\(19\) | −49.5811 | −0.598667 | −0.299334 | − | 0.954149i | \(-0.596764\pi\) | ||||
−0.299334 | + | 0.954149i | \(0.596764\pi\) | |||||||
\(20\) | 3.08835 | + | 8.91690i | 0.0345288 | + | 0.0996940i | ||||
\(21\) | −74.0974 | + | 30.4245i | −0.769970 | + | 0.316150i | ||||
\(22\) | 103.230 | + | 59.6001i | 1.00040 | + | 0.577581i | ||||
\(23\) | 0.799176 | + | 0.461404i | 0.00724520 | + | 0.00418302i | 0.503618 | − | 0.863926i | \(-0.332002\pi\) |
−0.496373 | + | 0.868109i | \(0.665335\pi\) | |||||||
\(24\) | −16.4221 | + | 121.831i | −0.139673 | + | 1.03619i | ||||
\(25\) | −17.8434 | − | 123.720i | −0.142747 | − | 0.989759i | ||||
\(26\) | −74.9642 | −0.565449 | ||||||||
\(27\) | −129.114 | − | 54.8872i | −0.920295 | − | 0.391224i | ||||
\(28\) | 13.0110i | 0.0878163i | ||||||||
\(29\) | 94.9247 | + | 164.414i | 0.607830 | + | 1.05279i | 0.991597 | + | 0.129363i | \(0.0412933\pi\) |
−0.383767 | + | 0.923430i | \(0.625373\pi\) | |||||||
\(30\) | 49.5004 | − | 147.313i | 0.301250 | − | 0.896518i | ||||
\(31\) | 149.590 | − | 259.098i | 0.866683 | − | 1.50114i | 0.00131648 | − | 0.999999i | \(-0.499581\pi\) |
0.865366 | − | 0.501140i | \(-0.167086\pi\) | |||||||
\(32\) | 32.9360 | + | 19.0156i | 0.181947 | + | 0.105047i | ||||
\(33\) | 87.9454 | + | 214.187i | 0.463919 | + | 1.12985i | ||||
\(34\) | 123.938 | + | 214.666i | 0.625151 | + | 1.08279i | ||||
\(35\) | 32.5802 | − | 169.241i | 0.157345 | − | 0.817342i | ||||
\(36\) | −16.2134 | + | 16.0144i | −0.0750619 | + | 0.0741406i | ||||
\(37\) | 57.8330i | 0.256965i | 0.991712 | + | 0.128482i | \(0.0410105\pi\) | ||||
−0.991712 | + | 0.128482i | \(0.958989\pi\) | |||||||
\(38\) | 114.863 | − | 66.3163i | 0.490349 | − | 0.283103i | ||||
\(39\) | −115.249 | − | 89.0001i | −0.473194 | − | 0.365421i | ||||
\(40\) | −199.940 | − | 173.173i | −0.790332 | − | 0.684525i | ||||
\(41\) | 143.940 | − | 249.311i | 0.548284 | − | 0.949656i | −0.450108 | − | 0.892974i | \(-0.648615\pi\) |
0.998392 | − | 0.0566817i | \(-0.0180520\pi\) | |||||||
\(42\) | 130.966 | − | 169.591i | 0.481154 | − | 0.623059i | ||||
\(43\) | 0.512647 | − | 0.295977i | 0.00181809 | − | 0.00104967i | −0.499091 | − | 0.866550i | \(-0.666333\pi\) |
0.500909 | + | 0.865500i | \(0.332999\pi\) | |||||||
\(44\) | 37.6099 | 0.128862 | ||||||||
\(45\) | 250.996 | − | 167.708i | 0.831473 | − | 0.555565i | ||||
\(46\) | −2.46857 | −0.00791242 | ||||||||
\(47\) | −518.145 | + | 299.151i | −1.60807 | + | 0.928418i | −0.618266 | + | 0.785969i | \(0.712164\pi\) |
−0.989802 | + | 0.142449i | \(0.954502\pi\) | |||||||
\(48\) | −111.581 | − | 271.750i | −0.335528 | − | 0.817162i | ||||
\(49\) | −52.6839 | + | 91.2513i | −0.153597 | + | 0.266039i | ||||
\(50\) | 206.817 | + | 262.753i | 0.584966 | + | 0.743176i | ||||
\(51\) | −64.3197 | + | 477.168i | −0.176599 | + | 1.31013i | ||||
\(52\) | −20.4838 | + | 11.8263i | −0.0546267 | + | 0.0315387i | ||||
\(53\) | 146.339i | 0.379267i | 0.981855 | + | 0.189634i | \(0.0607301\pi\) | ||||
−0.981855 | + | 0.189634i | \(0.939270\pi\) | |||||||
\(54\) | 372.528 | − | 45.5382i | 0.938790 | − | 0.114759i | ||||
\(55\) | −489.211 | − | 94.1769i | −1.19937 | − | 0.230888i | ||||
\(56\) | −182.351 | − | 315.840i | −0.435136 | − | 0.753678i | ||||
\(57\) | 255.322 | + | 34.4160i | 0.593301 | + | 0.0799739i | ||||
\(58\) | −439.819 | − | 253.930i | −0.995708 | − | 0.574873i | ||||
\(59\) | −96.5330 | + | 167.200i | −0.213009 | + | 0.368942i | −0.952655 | − | 0.304054i | \(-0.901660\pi\) |
0.739646 | + | 0.672996i | \(0.234993\pi\) | |||||||
\(60\) | −9.71415 | − | 48.0620i | −0.0209015 | − | 0.103413i | ||||
\(61\) | 283.076 | + | 490.303i | 0.594167 | + | 1.02913i | 0.993664 | + | 0.112393i | \(0.0358517\pi\) |
−0.399496 | + | 0.916735i | \(0.630815\pi\) | |||||||
\(62\) | 800.326i | 1.63938i | ||||||||
\(63\) | 402.689 | − | 105.240i | 0.805302 | − | 0.210459i | ||||
\(64\) | −554.019 | −1.08207 | ||||||||
\(65\) | 296.056 | − | 102.538i | 0.564942 | − | 0.195666i | ||||
\(66\) | −490.223 | − | 378.571i | −0.914276 | − | 0.706044i | ||||
\(67\) | 307.580 | + | 177.581i | 0.560849 | + | 0.323806i | 0.753486 | − | 0.657464i | \(-0.228371\pi\) |
−0.192637 | + | 0.981270i | \(0.561704\pi\) | |||||||
\(68\) | 67.7313 | + | 39.1047i | 0.120789 | + | 0.0697373i | ||||
\(69\) | −3.79514 | − | 2.93078i | −0.00662147 | − | 0.00511339i | ||||
\(70\) | 150.888 | + | 435.653i | 0.257636 | + | 0.743865i | ||||
\(71\) | −320.703 | −0.536062 | −0.268031 | − | 0.963410i | \(-0.586373\pi\) | ||||
−0.268031 | + | 0.963410i | \(0.586373\pi\) | |||||||
\(72\) | 169.134 | − | 615.977i | 0.276842 | − | 1.00824i | ||||
\(73\) | − | 636.782i | − | 1.02095i | −0.859891 | − | 0.510477i | \(-0.829469\pi\) | ||
0.859891 | − | 0.510477i | \(-0.170531\pi\) | |||||||
\(74\) | −77.3535 | − | 133.980i | −0.121516 | − | 0.210471i | ||||
\(75\) | 6.00734 | + | 649.491i | 0.00924891 | + | 0.999957i | ||||
\(76\) | 20.9240 | − | 36.2415i | 0.0315809 | − | 0.0546998i | ||||
\(77\) | −594.875 | − | 343.452i | −0.880420 | − | 0.508311i | ||||
\(78\) | 386.034 | + | 52.0353i | 0.560381 | + | 0.0755364i | ||||
\(79\) | −143.883 | − | 249.212i | −0.204912 | − | 0.354918i | 0.745193 | − | 0.666849i | \(-0.232358\pi\) |
−0.950105 | + | 0.311931i | \(0.899024\pi\) | |||||||
\(80\) | 620.688 | + | 119.487i | 0.867438 | + | 0.166989i | ||||
\(81\) | 626.783 | + | 372.269i | 0.859785 | + | 0.510657i | ||||
\(82\) | 770.097i | 1.03711i | ||||||||
\(83\) | 246.867 | − | 142.529i | 0.326472 | − | 0.188489i | −0.327801 | − | 0.944747i | \(-0.606308\pi\) |
0.654274 | + | 0.756258i | \(0.272974\pi\) | |||||||
\(84\) | 9.03144 | − | 67.0014i | 0.0117311 | − | 0.0870292i | ||||
\(85\) | −783.094 | − | 678.256i | −0.999277 | − | 0.865496i | ||||
\(86\) | −0.791757 | + | 1.37136i | −0.000992759 | + | 0.00171951i | ||||
\(87\) | −374.696 | − | 912.556i | −0.461743 | − | 1.12456i | ||||
\(88\) | −912.973 | + | 527.105i | −1.10595 | + | 0.638518i | ||||
\(89\) | 331.615 | 0.394957 | 0.197478 | − | 0.980307i | \(-0.436725\pi\) | ||||
0.197478 | + | 0.980307i | \(0.436725\pi\) | |||||||
\(90\) | −357.161 | + | 724.240i | −0.418312 | + | 0.848240i | ||||
\(91\) | 431.988 | 0.497634 | ||||||||
\(92\) | −0.674531 | + | 0.389441i | −0.000764399 | + | 0.000441326i | ||||
\(93\) | −950.175 | + | 1230.41i | −1.05945 | + | 1.37191i | ||||
\(94\) | 800.248 | − | 1386.07i | 0.878078 | − | 1.52088i | ||||
\(95\) | −362.920 | + | 419.016i | −0.391945 | + | 0.452528i | ||||
\(96\) | −156.407 | − | 120.784i | −0.166284 | − | 0.128411i | ||||
\(97\) | 1577.58 | − | 910.814i | 1.65133 | − | 0.953393i | 0.674798 | − | 0.738003i | \(-0.264231\pi\) |
0.976528 | − | 0.215391i | \(-0.0691024\pi\) | |||||||
\(98\) | − | 281.866i | − | 0.290538i | ||||||
\(99\) | −304.207 | − | 1164.02i | −0.308828 | − | 1.18170i | ||||
\(100\) | 97.9638 | + | 39.1692i | 0.0979638 | + | 0.0391692i | ||||
\(101\) | 573.683 | + | 993.648i | 0.565184 | + | 0.978927i | 0.997033 | + | 0.0769812i | \(0.0245281\pi\) |
−0.431849 | + | 0.901946i | \(0.642139\pi\) | |||||||
\(102\) | −489.219 | − | 1191.47i | −0.474901 | − | 1.15660i | ||||
\(103\) | 1370.52 | + | 791.272i | 1.31108 | + | 0.756955i | 0.982276 | − | 0.187442i | \(-0.0600197\pi\) |
0.328808 | + | 0.944397i | \(0.393353\pi\) | |||||||
\(104\) | 331.493 | − | 574.162i | 0.312553 | − | 0.541358i | ||||
\(105\) | −285.251 | + | 848.905i | −0.265120 | + | 0.788997i | ||||
\(106\) | −195.733 | − | 339.019i | −0.179351 | − | 0.310646i | ||||
\(107\) | − | 385.387i | − | 0.348194i | −0.984728 | − | 0.174097i | \(-0.944299\pi\) | ||
0.984728 | − | 0.174097i | \(-0.0557007\pi\) | |||||||
\(108\) | 94.6082 | − | 71.2130i | 0.0842934 | − | 0.0634488i | ||||
\(109\) | 203.502 | 0.178825 | 0.0894126 | − | 0.995995i | \(-0.471501\pi\) | ||||
0.0894126 | + | 0.995995i | \(0.471501\pi\) | |||||||
\(110\) | 1259.31 | − | 436.158i | 1.09155 | − | 0.378055i | ||||
\(111\) | 40.1440 | − | 297.816i | 0.0343270 | − | 0.254661i | ||||
\(112\) | 754.750 | + | 435.755i | 0.636761 | + | 0.367634i | ||||
\(113\) | 57.1707 | + | 33.0075i | 0.0475944 | + | 0.0274786i | 0.523608 | − | 0.851959i | \(-0.324586\pi\) |
−0.476014 | + | 0.879438i | \(0.657919\pi\) | |||||||
\(114\) | −637.529 | + | 261.770i | −0.523773 | + | 0.215062i | ||||
\(115\) | 9.74913 | − | 3.37659i | 0.00790532 | − | 0.00273799i | ||||
\(116\) | −160.239 | −0.128257 | ||||||||
\(117\) | 531.704 | + | 538.311i | 0.420137 | + | 0.425358i | ||||
\(118\) | − | 516.464i | − | 0.402918i | ||||||
\(119\) | −714.203 | − | 1237.04i | −0.550175 | − | 0.952932i | ||||
\(120\) | 909.401 | + | 1030.55i | 0.691805 | + | 0.783967i | ||||
\(121\) | −327.286 | + | 566.876i | −0.245895 | + | 0.425903i | ||||
\(122\) | −1311.59 | − | 757.247i | −0.973327 | − | 0.561950i | ||||
\(123\) | −914.286 | + | 1183.93i | −0.670231 | + | 0.867901i | ||||
\(124\) | 126.259 | + | 218.687i | 0.0914386 | + | 0.158376i | ||||
\(125\) | −1176.18 | − | 754.799i | −0.841607 | − | 0.540090i | ||||
\(126\) | −792.138 | + | 782.415i | −0.560073 | + | 0.553199i | ||||
\(127\) | 1821.52i | 1.27270i | 0.771399 | + | 0.636352i | \(0.219557\pi\) | ||||
−0.771399 | + | 0.636352i | \(0.780443\pi\) | |||||||
\(128\) | 1019.99 | − | 588.893i | 0.704339 | − | 0.406650i | ||||
\(129\) | −2.84536 | + | 1.16831i | −0.00194202 | + | 0.000797394i | ||||
\(130\) | −548.717 | + | 633.532i | −0.370197 | + | 0.427419i | ||||
\(131\) | −119.129 | + | 206.337i | −0.0794530 | + | 0.137617i | −0.903014 | − | 0.429611i | \(-0.858651\pi\) |
0.823561 | + | 0.567228i | \(0.191984\pi\) | |||||||
\(132\) | −193.675 | − | 26.1064i | −0.127707 | − | 0.0172142i | ||||
\(133\) | −661.910 | + | 382.154i | −0.431541 | + | 0.249150i | ||||
\(134\) | −950.083 | −0.612498 | ||||||||
\(135\) | −1408.94 | + | 689.400i | −0.898237 | + | 0.439512i | ||||
\(136\) | −2192.22 | −1.38221 | ||||||||
\(137\) | −1773.17 | + | 1023.74i | −1.10578 | + | 0.638424i | −0.937734 | − | 0.347355i | \(-0.887080\pi\) |
−0.168048 | + | 0.985779i | \(0.553747\pi\) | |||||||
\(138\) | 12.7121 | + | 1.71353i | 0.00784150 | + | 0.00105699i | ||||
\(139\) | −1089.68 | + | 1887.39i | −0.664934 | + | 1.15170i | 0.314369 | + | 0.949301i | \(0.398207\pi\) |
−0.979303 | + | 0.202399i | \(0.935126\pi\) | |||||||
\(140\) | 109.958 | + | 95.2372i | 0.0663797 | + | 0.0574930i | ||||
\(141\) | 2875.88 | − | 1180.84i | 1.71768 | − | 0.705281i | ||||
\(142\) | 742.964 | − | 428.950i | 0.439071 | − | 0.253498i | ||||
\(143\) | − | 1248.71i | − | 0.730228i | ||||||
\(144\) | 385.964 | + | 1476.85i | 0.223359 | + | 0.854660i | ||||
\(145\) | 2084.31 | + | 401.246i | 1.19374 | + | 0.229805i | ||||
\(146\) | 851.716 | + | 1475.22i | 0.482798 | + | 0.836231i | ||||
\(147\) | 334.641 | − | 433.336i | 0.187760 | − | 0.243136i | ||||
\(148\) | −42.2733 | − | 24.4065i | −0.0234787 | − | 0.0135554i | ||||
\(149\) | 77.9741 | − | 135.055i | 0.0428717 | − | 0.0742560i | −0.843793 | − | 0.536668i | \(-0.819683\pi\) |
0.886665 | + | 0.462412i | \(0.153016\pi\) | |||||||
\(150\) | −882.632 | − | 1496.62i | −0.480444 | − | 0.814659i | ||||
\(151\) | −807.071 | − | 1397.89i | −0.434957 | − | 0.753368i | 0.562335 | − | 0.826909i | \(-0.309903\pi\) |
−0.997292 | + | 0.0735418i | \(0.976570\pi\) | |||||||
\(152\) | 1173.01i | 0.625943i | ||||||||
\(153\) | 662.439 | − | 2412.57i | 0.350033 | − | 1.27480i | ||||
\(154\) | 1837.51 | 0.961498 | ||||||||
\(155\) | −1094.71 | − | 3160.73i | −0.567286 | − | 1.63791i | ||||
\(156\) | 113.692 | − | 46.6820i | 0.0583502 | − | 0.0239587i | ||||
\(157\) | 856.073 | + | 494.254i | 0.435172 | + | 0.251247i | 0.701548 | − | 0.712623i | \(-0.252493\pi\) |
−0.266375 | + | 0.963869i | \(0.585826\pi\) | |||||||
\(158\) | 666.658 | + | 384.895i | 0.335674 | + | 0.193801i | ||||
\(159\) | 101.579 | − | 753.583i | 0.0506650 | − | 0.375868i | ||||
\(160\) | 401.785 | − | 139.157i | 0.198525 | − | 0.0687585i | ||||
\(161\) | 14.2254 | 0.00696347 | ||||||||
\(162\) | −1949.97 | − | 24.0828i | −0.945706 | − | 0.0116798i | ||||
\(163\) | − | 2974.11i | − | 1.42914i | −0.699564 | − | 0.714570i | \(-0.746622\pi\) | ||
0.699564 | − | 0.714570i | \(-0.253378\pi\) | |||||||
\(164\) | 121.490 | + | 210.427i | 0.0578462 | + | 0.100193i | ||||
\(165\) | 2453.86 | + | 824.551i | 1.15777 | + | 0.389037i | ||||
\(166\) | −381.274 | + | 660.386i | −0.178269 | + | 0.308770i | ||||
\(167\) | 2112.20 | + | 1219.48i | 0.978724 | + | 0.565067i | 0.901885 | − | 0.431977i | \(-0.142184\pi\) |
0.0768396 | + | 0.997043i | \(0.475517\pi\) | |||||||
\(168\) | 719.793 | + | 1753.02i | 0.330555 | + | 0.805051i | ||||
\(169\) | −705.847 | − | 1222.56i | −0.321278 | − | 0.556469i | ||||
\(170\) | 2721.36 | + | 523.884i | 1.22776 | + | 0.236353i | ||||
\(171\) | −1290.91 | − | 354.456i | −0.577300 | − | 0.158514i | ||||
\(172\) | 0.499628i | 0.000221490i | ||||||||
\(173\) | −2298.08 | + | 1326.79i | −1.00994 | + | 0.583089i | −0.911174 | − | 0.412022i | \(-0.864823\pi\) |
−0.0987652 | + | 0.995111i | \(0.531489\pi\) | |||||||
\(174\) | 2088.62 | + | 1612.93i | 0.909989 | + | 0.702733i | ||||
\(175\) | −1191.80 | − | 1514.14i | −0.514810 | − | 0.654046i | ||||
\(176\) | 1259.60 | − | 2181.69i | 0.539466 | − | 0.934382i | ||||
\(177\) | 613.164 | − | 794.003i | 0.260385 | − | 0.337180i | ||||
\(178\) | −768.244 | + | 443.546i | −0.323496 | + | 0.186771i | ||||
\(179\) | 2102.30 | 0.877841 | 0.438921 | − | 0.898526i | \(-0.355361\pi\) | ||||
0.438921 | + | 0.898526i | \(0.355361\pi\) | |||||||
\(180\) | 16.6622 | + | 254.242i | 0.00689961 | + | 0.105278i | ||||
\(181\) | 1597.36 | 0.655973 | 0.327987 | − | 0.944682i | \(-0.393630\pi\) | ||||
0.327987 | + | 0.944682i | \(0.393630\pi\) | |||||||
\(182\) | −1000.78 | + | 577.798i | −0.407596 | + | 0.235326i | ||||
\(183\) | −1117.39 | − | 2721.35i | −0.451364 | − | 1.09928i | ||||
\(184\) | 10.9161 | − | 18.9072i | 0.00437360 | − | 0.00757531i | ||||
\(185\) | 488.754 | + | 423.321i | 0.194238 | + | 0.168234i | ||||
\(186\) | 555.535 | − | 4121.34i | 0.218999 | − | 1.62469i | ||||
\(187\) | −3575.79 | + | 2064.49i | −1.39833 | + | 0.807327i | ||||
\(188\) | − | 504.987i | − | 0.195904i | ||||||
\(189\) | −2146.73 | + | 262.418i | −0.826199 | + | 0.100995i | ||||
\(190\) | 280.318 | − | 1456.14i | 0.107034 | − | 0.555997i | ||||
\(191\) | 1703.71 | + | 2950.92i | 0.645426 | + | 1.11791i | 0.984203 | + | 0.177044i | \(0.0566535\pi\) |
−0.338777 | + | 0.940867i | \(0.610013\pi\) | |||||||
\(192\) | 2852.96 | + | 384.564i | 1.07237 | + | 0.144550i | ||||
\(193\) | −709.387 | − | 409.565i | −0.264574 | − | 0.152752i | 0.361845 | − | 0.932238i | \(-0.382147\pi\) |
−0.626419 | + | 0.779486i | \(0.715480\pi\) | |||||||
\(194\) | −2436.49 | + | 4220.12i | −0.901698 | + | 1.56179i | ||||
\(195\) | −1595.74 | + | 322.526i | −0.586017 | + | 0.118444i | ||||
\(196\) | −44.4670 | − | 77.0191i | −0.0162052 | − | 0.0280682i | ||||
\(197\) | − | 359.979i | − | 0.130190i | −0.997879 | − | 0.0650950i | \(-0.979265\pi\) | ||
0.997879 | − | 0.0650950i | \(-0.0207350\pi\) | |||||||
\(198\) | 2261.66 | + | 2289.77i | 0.811764 | + | 0.821851i | ||||
\(199\) | 1338.34 | 0.476745 | 0.238372 | − | 0.971174i | \(-0.423386\pi\) | ||||
0.238372 | + | 0.971174i | \(0.423386\pi\) | |||||||
\(200\) | −2927.01 | + | 422.145i | −1.03485 | + | 0.149251i | ||||
\(201\) | −1460.64 | − | 1127.97i | −0.512566 | − | 0.395826i | ||||
\(202\) | −2658.07 | − | 1534.64i | −0.925848 | − | 0.534538i | ||||
\(203\) | 2534.50 | + | 1463.30i | 0.876291 | + | 0.505927i | ||||
\(204\) | −321.644 | − | 248.387i | −0.110390 | − | 0.0852480i | ||||
\(205\) | −1053.36 | − | 3041.34i | −0.358878 | − | 1.03618i | ||||
\(206\) | −4233.41 | −1.43182 | ||||||||
\(207\) | 17.5090 | + | 17.7266i | 0.00587904 | + | 0.00595210i | ||||
\(208\) | 1584.31i | 0.528135i | ||||||||
\(209\) | 1104.66 | + | 1913.33i | 0.365603 | + | 0.633242i | ||||
\(210\) | −474.605 | − | 2348.17i | −0.155956 | − | 0.771614i | ||||
\(211\) | −534.114 | + | 925.113i | −0.174265 | + | 0.301836i | −0.939907 | − | 0.341431i | \(-0.889088\pi\) |
0.765642 | + | 0.643267i | \(0.222422\pi\) | |||||||
\(212\) | −106.967 | − | 61.7574i | −0.0346534 | − | 0.0200071i | ||||
\(213\) | 1651.49 | + | 222.611i | 0.531258 | + | 0.0716107i | ||||
\(214\) | 515.468 | + | 892.816i | 0.164657 | + | 0.285195i | ||||
\(215\) | 1.25109 | − | 6.49891i | 0.000396855 | − | 0.00206150i | ||||
\(216\) | −1298.54 | + | 3054.62i | −0.409049 | + | 0.962225i | ||||
\(217\) | − | 4611.96i | − | 1.44277i | ||||||
\(218\) | −471.448 | + | 272.190i | −0.146470 | + | 0.0845645i | ||||
\(219\) | −442.013 | + | 3279.16i | −0.136386 | + | 1.01180i | ||||
\(220\) | 275.294 | − | 317.847i | 0.0843651 | − | 0.0974055i | ||||
\(221\) | 1298.34 | − | 2248.79i | 0.395185 | − | 0.684480i | ||||
\(222\) | 305.337 | + | 743.635i | 0.0923104 | + | 0.224818i | ||||
\(223\) | −1315.35 | + | 759.415i | −0.394987 | + | 0.228046i | −0.684319 | − | 0.729183i | \(-0.739900\pi\) |
0.289332 | + | 0.957229i | \(0.406567\pi\) | |||||||
\(224\) | 586.263 | 0.174872 | ||||||||
\(225\) | 419.900 | − | 3348.78i | 0.124415 | − | 0.992230i | ||||
\(226\) | −176.594 | −0.0519774 | ||||||||
\(227\) | 3667.72 | − | 2117.56i | 1.07240 | − | 0.619152i | 0.143566 | − | 0.989641i | \(-0.454143\pi\) |
0.928837 | + | 0.370489i | \(0.120810\pi\) | |||||||
\(228\) | −132.907 | + | 172.104i | −0.0386050 | + | 0.0499907i | ||||
\(229\) | −2768.26 | + | 4794.77i | −0.798829 | + | 1.38361i | 0.121550 | + | 0.992585i | \(0.461213\pi\) |
−0.920379 | + | 0.391027i | \(0.872120\pi\) | |||||||
\(230\) | −18.0693 | + | 20.8622i | −0.00518023 | + | 0.00598094i | ||||
\(231\) | 2824.96 | + | 2181.56i | 0.804626 | + | 0.621367i | ||||
\(232\) | 3889.78 | − | 2245.76i | 1.10076 | − | 0.635524i | ||||
\(233\) | 6337.30i | 1.78185i | 0.454154 | + | 0.890923i | \(0.349941\pi\) | ||||
−0.454154 | + | 0.890923i | \(0.650059\pi\) | |||||||
\(234\) | −1951.79 | − | 535.920i | −0.545268 | − | 0.149719i | ||||
\(235\) | −1264.51 | + | 6568.61i | −0.351011 | + | 1.82336i | ||||
\(236\) | −81.4771 | − | 141.122i | −0.0224733 | − | 0.0389249i | ||||
\(237\) | 567.948 | + | 1383.21i | 0.155663 | + | 0.379111i | ||||
\(238\) | 3309.15 | + | 1910.54i | 0.901262 | + | 0.520344i | ||||
\(239\) | 1271.43 | − | 2202.19i | 0.344110 | − | 0.596016i | −0.641082 | − | 0.767473i | \(-0.721514\pi\) |
0.985192 | + | 0.171457i | \(0.0548474\pi\) | |||||||
\(240\) | −3113.34 | − | 1046.15i | −0.837355 | − | 0.281370i | ||||
\(241\) | −1025.71 | − | 1776.58i | −0.274157 | − | 0.474854i | 0.695765 | − | 0.718269i | \(-0.255065\pi\) |
−0.969922 | + | 0.243415i | \(0.921732\pi\) | |||||||
\(242\) | − | 1751.02i | − | 0.465124i | ||||||
\(243\) | −2969.26 | − | 2352.10i | −0.783862 | − | 0.620935i | ||||
\(244\) | −477.852 | −0.125374 | ||||||||
\(245\) | 385.545 | + | 1113.17i | 0.100537 | + | 0.290278i | ||||
\(246\) | 534.552 | − | 3965.68i | 0.138544 | − | 1.02781i | ||||
\(247\) | −1203.28 | − | 694.713i | −0.309971 | − | 0.178962i | ||||
\(248\) | −6129.82 | − | 3539.05i | −1.56953 | − | 0.906170i | ||||
\(249\) | −1370.20 | + | 562.605i | −0.348726 | + | 0.143187i | ||||
\(250\) | 3734.40 | + | 175.441i | 0.944736 | + | 0.0443834i | ||||
\(251\) | −2770.89 | −0.696801 | −0.348401 | − | 0.937346i | \(-0.613275\pi\) | ||||
−0.348401 | + | 0.937346i | \(0.613275\pi\) | |||||||
\(252\) | −93.0162 | + | 338.760i | −0.0232519 | + | 0.0846821i | ||||
\(253\) | − | 41.1201i | − | 0.0102182i | ||||||
\(254\) | −2436.34 | − | 4219.86i | −0.601848 | − | 1.04243i | ||||
\(255\) | 3561.81 | + | 4036.31i | 0.874702 | + | 0.991229i | ||||
\(256\) | 640.748 | − | 1109.81i | 0.156433 | − | 0.270949i | ||||
\(257\) | −369.581 | − | 213.378i | −0.0897036 | − | 0.0517904i | 0.454477 | − | 0.890758i | \(-0.349826\pi\) |
−0.544181 | + | 0.838968i | \(0.683159\pi\) | |||||||
\(258\) | 5.02913 | − | 6.51235i | 0.00121356 | − | 0.00157148i | ||||
\(259\) | 445.757 | + | 772.074i | 0.106942 | + | 0.185229i | ||||
\(260\) | −49.9897 | + | 259.676i | −0.0119240 | + | 0.0619402i | ||||
\(261\) | 1296.09 | + | 4959.37i | 0.307379 | + | 1.17616i | ||||
\(262\) | − | 637.355i | − | 0.150290i | ||||||
\(263\) | 3258.32 | − | 1881.19i | 0.763943 | − | 0.441063i | −0.0667669 | − | 0.997769i | \(-0.521268\pi\) |
0.830710 | + | 0.556706i | \(0.187935\pi\) | |||||||
\(264\) | 5067.31 | − | 2080.64i | 1.18133 | − | 0.485056i | ||||
\(265\) | 1236.73 | + | 1071.16i | 0.286685 | + | 0.248305i | ||||
\(266\) | 1022.29 | − | 1770.65i | 0.235641 | − | 0.408142i | ||||
\(267\) | −1707.68 | − | 230.186i | −0.391417 | − | 0.0527609i | ||||
\(268\) | −259.608 | + | 149.885i | −0.0591719 | + | 0.0341629i | ||||
\(269\) | 1980.25 | 0.448839 | 0.224420 | − | 0.974493i | \(-0.427951\pi\) | ||||
0.224420 | + | 0.974493i | \(0.427951\pi\) | |||||||
\(270\) | 2341.95 | − | 3481.61i | 0.527877 | − | 0.784756i | ||||
\(271\) | 5659.70 | 1.26864 | 0.634321 | − | 0.773070i | \(-0.281280\pi\) | ||||
0.634321 | + | 0.773070i | \(0.281280\pi\) | |||||||
\(272\) | 4536.80 | − | 2619.32i | 1.01134 | − | 0.583896i | ||||
\(273\) | −2224.56 | − | 299.859i | −0.493174 | − | 0.0664772i | ||||
\(274\) | 2738.57 | − | 4743.34i | 0.603807 | − | 1.04582i | ||||
\(275\) | −4376.79 | + | 3445.04i | −0.959747 | + | 0.755431i | ||||
\(276\) | 3.74388 | − | 1.53724i | 0.000816503 | − | 0.000335257i | ||||
\(277\) | −5343.00 | + | 3084.78i | −1.15895 | + | 0.669121i | −0.951053 | − | 0.309029i | \(-0.899996\pi\) |
−0.207900 | + | 0.978150i | \(0.566663\pi\) | |||||||
\(278\) | − | 5829.95i | − | 1.25776i | ||||||
\(279\) | 5747.07 | − | 5676.53i | 1.23322 | − | 1.21808i | ||||
\(280\) | −4003.97 | − | 770.795i | −0.854581 | − | 0.164514i | ||||
\(281\) | −1671.73 | − | 2895.52i | −0.354900 | − | 0.614705i | 0.632201 | − | 0.774805i | \(-0.282152\pi\) |
−0.987101 | + | 0.160100i | \(0.948818\pi\) | |||||||
\(282\) | −5083.06 | + | 6582.20i | −1.07338 | + | 1.38994i | ||||
\(283\) | 4419.60 | + | 2551.66i | 0.928333 | + | 0.535973i | 0.886284 | − | 0.463142i | \(-0.153278\pi\) |
0.0420490 | + | 0.999116i | \(0.486611\pi\) | |||||||
\(284\) | 135.342 | − | 234.419i | 0.0282784 | − | 0.0489796i | ||||
\(285\) | 2159.74 | − | 1905.84i | 0.448884 | − | 0.396114i | ||||
\(286\) | 1670.19 | + | 2892.86i | 0.345317 | + | 0.598106i | ||||
\(287\) | − | 4437.76i | − | 0.912727i | ||||||
\(288\) | 721.590 | + | 730.556i | 0.147639 | + | 0.149474i | ||||
\(289\) | −3673.14 | −0.747638 | ||||||||
\(290\) | −5365.35 | + | 1858.28i | −1.08643 | + | 0.376282i | ||||
\(291\) | −8756.08 | + | 3595.26i | −1.76389 | + | 0.724253i | ||||
\(292\) | 465.458 | + | 268.733i | 0.0932839 | + | 0.0538575i | ||||
\(293\) | −3576.93 | − | 2065.14i | −0.713195 | − | 0.411764i | 0.0990477 | − | 0.995083i | \(-0.468420\pi\) |
−0.812243 | + | 0.583319i | \(0.801754\pi\) | |||||||
\(294\) | −195.653 | + | 1451.49i | −0.0388120 | + | 0.287934i | ||||
\(295\) | 706.436 | + | 2039.67i | 0.139425 | + | 0.402557i | ||||
\(296\) | 1368.23 | 0.268672 | ||||||||
\(297\) | 758.550 | + | 6205.37i | 0.148200 | + | 1.21236i | ||||
\(298\) | 417.172i | 0.0810943i | ||||||||
\(299\) | 12.9301 | + | 22.3956i | 0.00250089 | + | 0.00433167i | ||||
\(300\) | −477.284 | − | 269.705i | −0.0918533 | − | 0.0519048i | ||||
\(301\) | 4.56258 | − | 7.90261i | 0.000873696 | − | 0.00151329i | ||||
\(302\) | 3739.44 | + | 2158.97i | 0.712519 | + | 0.411373i | ||||
\(303\) | −2264.50 | − | 5515.08i | −0.429347 | − | 1.04565i | ||||
\(304\) | −1401.54 | − | 2427.54i | −0.264421 | − | 0.457990i | ||||
\(305\) | 6215.65 | + | 1196.56i | 1.16691 | + | 0.224639i | ||||
\(306\) | 1692.23 | + | 6475.16i | 0.316138 | + | 1.20967i | ||||
\(307\) | 3382.52i | 0.628830i | 0.949286 | + | 0.314415i | \(0.101808\pi\) | ||||
−0.949286 | + | 0.314415i | \(0.898192\pi\) | |||||||
\(308\) | 502.095 | − | 289.884i | 0.0928880 | − | 0.0536289i | ||||
\(309\) | −6508.37 | − | 5026.05i | −1.19821 | − | 0.925313i | ||||
\(310\) | 6763.66 | + | 5858.16i | 1.23919 | + | 1.07329i | ||||
\(311\) | 3010.61 | − | 5214.53i | 0.548926 | − | 0.950767i | −0.449423 | − | 0.893319i | \(-0.648370\pi\) |
0.998348 | − | 0.0574482i | \(-0.0182964\pi\) | |||||||
\(312\) | −2105.60 | + | 2726.59i | −0.382070 | + | 0.494753i | ||||
\(313\) | 8827.35 | − | 5096.47i | 1.59409 | − | 0.920350i | 0.601499 | − | 0.798874i | \(-0.294571\pi\) |
0.992594 | − | 0.121476i | \(-0.0387628\pi\) | |||||||
\(314\) | −2644.32 | −0.475247 | ||||||||
\(315\) | 2058.18 | − | 4173.50i | 0.368144 | − | 0.746509i | ||||
\(316\) | 242.884 | 0.0432382 | ||||||||
\(317\) | 4677.05 | − | 2700.30i | 0.828673 | − | 0.478435i | −0.0247250 | − | 0.999694i | \(-0.507871\pi\) |
0.853398 | + | 0.521260i | \(0.174538\pi\) | |||||||
\(318\) | 772.616 | + | 1881.67i | 0.136246 | + | 0.331820i | ||||
\(319\) | 4229.82 | − | 7326.27i | 0.742397 | − | 1.28587i | ||||
\(320\) | −4055.26 | + | 4682.09i | −0.708425 | + | 0.817927i | ||||
\(321\) | −267.511 | + | 1984.58i | −0.0465141 | + | 0.345074i | ||||
\(322\) | −32.9556 | + | 19.0269i | −0.00570355 | + | 0.00329295i | ||||
\(323\) | 4594.25i | 0.791428i | ||||||||
\(324\) | −536.624 | + | 301.046i | −0.0920138 | + | 0.0516197i | ||||
\(325\) | 1300.48 | − | 3252.56i | 0.221962 | − | 0.555137i | ||||
\(326\) | 3977.96 | + | 6890.03i | 0.675825 | + | 1.17056i | ||||
\(327\) | −1047.95 | − | 141.258i | −0.177222 | − | 0.0238887i | ||||
\(328\) | −5898.29 | − | 3405.38i | −0.992923 | − | 0.573265i | ||||
\(329\) | −4611.51 | + | 7987.37i | −0.772768 | + | 1.33847i | ||||
\(330\) | −6787.65 | + | 1371.90i | −1.13227 | + | 0.228850i | ||||
\(331\) | 1151.45 | + | 1994.37i | 0.191206 | + | 0.331179i | 0.945650 | − | 0.325185i | \(-0.105427\pi\) |
−0.754444 | + | 0.656365i | \(0.772093\pi\) | |||||||
\(332\) | 240.598i | 0.0397727i | ||||||||
\(333\) | −413.449 | + | 1505.76i | −0.0680387 | + | 0.247793i | ||||
\(334\) | −6524.37 | −1.06886 | ||||||||
\(335\) | 3752.17 | − | 1299.55i | 0.611948 | − | 0.211947i | ||||
\(336\) | −3584.17 | − | 2767.86i | −0.581942 | − | 0.449402i | ||||
\(337\) | −8284.68 | − | 4783.16i | −1.33916 | − | 0.773162i | −0.352473 | − | 0.935822i | \(-0.614659\pi\) |
−0.986682 | + | 0.162660i | \(0.947993\pi\) | |||||||
\(338\) | 3270.43 | + | 1888.19i | 0.526296 | + | 0.303857i | ||||
\(339\) | −271.493 | − | 209.659i | −0.0434970 | − | 0.0335903i | ||||
\(340\) | 826.253 | − | 286.171i | 0.131794 | − | 0.0456465i | ||||
\(341\) | −13331.4 | −2.11711 | ||||||||
\(342\) | 3464.71 | − | 905.475i | 0.547808 | − | 0.143165i | ||||
\(343\) | 6911.73i | 1.08804i | ||||||||
\(344\) | −7.00232 | − | 12.1284i | −0.00109750 | − | 0.00190092i | ||||
\(345\) | −52.5478 | + | 10.6208i | −0.00820022 | + | 0.00165740i | ||||
\(346\) | 3549.26 | − | 6147.50i | 0.551472 | − | 0.955178i | ||||
\(347\) | 70.5999 | + | 40.7609i | 0.0109222 | + | 0.00630593i | 0.505451 | − | 0.862855i | \(-0.331326\pi\) |
−0.494529 | + | 0.869161i | \(0.664659\pi\) | |||||||
\(348\) | 825.165 | + | 111.228i | 0.127108 | + | 0.0171334i | ||||
\(349\) | 46.7859 | + | 81.0356i | 0.00717591 | + | 0.0124290i | 0.869591 | − | 0.493773i | \(-0.164382\pi\) |
−0.862415 | + | 0.506202i | \(0.831049\pi\) | |||||||
\(350\) | 4786.22 | + | 1913.69i | 0.730955 | + | 0.292260i | ||||
\(351\) | −2364.39 | − | 3141.15i | −0.359549 | − | 0.477670i | ||||
\(352\) | − | 1694.66i | − | 0.256607i | ||||||
\(353\) | −5781.08 | + | 3337.71i | −0.871659 | + | 0.503253i | −0.867899 | − | 0.496740i | \(-0.834530\pi\) |
−0.00376007 | + | 0.999993i | \(0.501197\pi\) | |||||||
\(354\) | −358.496 | + | 2659.57i | −0.0538245 | + | 0.399307i | ||||
\(355\) | −2347.46 | + | 2710.30i | −0.350958 | + | 0.405206i | ||||
\(356\) | −139.947 | + | 242.396i | −0.0208348 | + | 0.0360869i | ||||
\(357\) | 2819.17 | + | 6865.97i | 0.417945 | + | 1.01789i | ||||
\(358\) | −4870.35 | + | 2811.90i | −0.719012 | + | 0.415122i | ||||
\(359\) | 8334.50 | 1.22529 | 0.612644 | − | 0.790359i | \(-0.290106\pi\) | ||||
0.612644 | + | 0.790359i | \(0.290106\pi\) | |||||||
\(360\) | −3967.69 | − | 5938.16i | −0.580877 | − | 0.869356i | ||||
\(361\) | −4400.72 | −0.641598 | ||||||||
\(362\) | −3700.57 | + | 2136.53i | −0.537287 | + | 0.310203i | ||||
\(363\) | 2078.88 | − | 2691.99i | 0.300586 | − | 0.389237i | ||||
\(364\) | −182.306 | + | 315.764i | −0.0262512 | + | 0.0454685i | ||||
\(365\) | −5381.53 | − | 4661.07i | −0.771732 | − | 0.668415i | ||||
\(366\) | 6228.51 | + | 4809.93i | 0.889534 | + | 0.686937i | ||||
\(367\) | 108.912 | − | 62.8805i | 0.0154909 | − | 0.00894369i | −0.492235 | − | 0.870463i | \(-0.663820\pi\) |
0.507725 | + | 0.861519i | \(0.330486\pi\) | |||||||
\(368\) | 52.1713i | 0.00739026i | ||||||||
\(369\) | 5530.00 | − | 5462.13i | 0.780164 | − | 0.770588i | ||||
\(370\) | −1698.49 | − | 326.973i | −0.238649 | − | 0.0459419i | ||||
\(371\) | 1127.93 | + | 1953.63i | 0.157841 | + | 0.273389i | ||||
\(372\) | −498.382 | − | 1213.79i | −0.0694621 | − | 0.169172i | ||||
\(373\) | −1243.40 | − | 717.879i | −0.172603 | − | 0.0996525i | 0.411210 | − | 0.911541i | \(-0.365106\pi\) |
−0.583813 | + | 0.811888i | \(0.698440\pi\) | |||||||
\(374\) | 5522.63 | − | 9565.48i | 0.763552 | − | 1.32251i | ||||
\(375\) | 5532.91 | + | 4703.33i | 0.761915 | + | 0.647677i | ||||
\(376\) | 7077.42 | + | 12258.5i | 0.970718 | + | 1.68133i | ||||
\(377\) | 5320.21i | 0.726803i | ||||||||
\(378\) | 4622.28 | − | 3479.26i | 0.628953 | − | 0.473422i | ||||
\(379\) | 2125.04 | 0.288010 | 0.144005 | − | 0.989577i | \(-0.454002\pi\) | ||||
0.144005 | + | 0.989577i | \(0.454002\pi\) | |||||||
\(380\) | −153.124 | − | 442.109i | −0.0206713 | − | 0.0596835i | ||||
\(381\) | 1264.38 | − | 9380.05i | 0.170016 | − | 1.26130i | ||||
\(382\) | −7893.90 | − | 4557.54i | −1.05730 | − | 0.610430i | ||||
\(383\) | 6114.80 | + | 3530.38i | 0.815800 | + | 0.471002i | 0.848966 | − | 0.528447i | \(-0.177226\pi\) |
−0.0331659 | + | 0.999450i | \(0.510559\pi\) | |||||||
\(384\) | −5661.30 | + | 2324.54i | −0.752349 | + | 0.308915i | ||||
\(385\) | −7256.88 | + | 2513.40i | −0.960636 | + | 0.332714i | ||||
\(386\) | 2191.22 | 0.288939 | ||||||||
\(387\) | 15.4634 | − | 4.04123i | 0.00203113 | − | 0.000530820i | ||||
\(388\) | 1537.51i | 0.201174i | ||||||||
\(389\) | −4909.56 | − | 8503.61i | −0.639909 | − | 1.10836i | −0.985452 | − | 0.169952i | \(-0.945639\pi\) |
0.345543 | − | 0.938403i | \(-0.387695\pi\) | |||||||
\(390\) | 3265.42 | − | 2881.54i | 0.423977 | − | 0.374135i | ||||
\(391\) | 42.7544 | − | 74.0528i | 0.00552988 | − | 0.00957803i | ||||
\(392\) | 2158.85 | + | 1246.42i | 0.278160 | + | 0.160596i | ||||
\(393\) | 756.691 | − | 979.859i | 0.0971247 | − | 0.125769i | ||||
\(394\) | 481.483 | + | 833.954i | 0.0615654 | + | 0.106634i | ||||
\(395\) | −3159.31 | − | 608.191i | −0.402435 | − | 0.0774720i | ||||
\(396\) | 979.225 | + | 268.874i | 0.124262 | + | 0.0341198i | ||||
\(397\) | − | 10995.5i | − | 1.39005i | −0.718987 | − | 0.695023i | \(-0.755394\pi\) | ||
0.718987 | − | 0.695023i | \(-0.244606\pi\) | |||||||
\(398\) | −3100.49 | + | 1790.07i | −0.390486 | + | 0.225447i | ||||
\(399\) | 3673.83 | − | 1508.48i | 0.460956 | − | 0.189269i | ||||
\(400\) | 5553.07 | − | 4370.90i | 0.694133 | − | 0.546363i | ||||
\(401\) | 3265.90 | − | 5656.71i | 0.406712 | − | 0.704446i | −0.587807 | − | 0.809001i | \(-0.700009\pi\) |
0.994519 | + | 0.104555i | \(0.0333419\pi\) | |||||||
\(402\) | 4892.53 | + | 659.487i | 0.607008 | + | 0.0818215i | ||||
\(403\) | 7260.77 | − | 4192.01i | 0.897481 | − | 0.518161i | ||||
\(404\) | −968.415 | −0.119259 | ||||||||
\(405\) | 7733.97 | − | 2572.12i | 0.948899 | − | 0.315580i | ||||
\(406\) | −7828.82 | −0.956989 | ||||||||
\(407\) | 2231.77 | − | 1288.51i | 0.271805 | − | 0.156927i | ||||
\(408\) | 11289.0 | + | 1521.70i | 1.36983 | + | 0.184645i | ||||
\(409\) | −2502.67 | + | 4334.75i | −0.302565 | + | 0.524058i | −0.976716 | − | 0.214535i | \(-0.931176\pi\) |
0.674151 | + | 0.738593i | \(0.264510\pi\) | |||||||
\(410\) | 6508.19 | + | 5636.90i | 0.783943 | + | 0.678991i | ||||
\(411\) | 9841.70 | − | 4041.01i | 1.18116 | − | 0.484984i | ||||
\(412\) | −1156.77 | + | 667.860i | −0.138325 | + | 0.0798619i | ||||
\(413\) | 2976.17i | 0.354596i | ||||||||
\(414\) | −64.2726 | − | 17.6479i | −0.00763002 | − | 0.00209504i | ||||
\(415\) | 602.469 | − | 3129.58i | 0.0712627 | − | 0.370181i | ||||
\(416\) | 532.880 | + | 922.975i | 0.0628043 | + | 0.108780i | ||||
\(417\) | 6921.52 | − | 8962.87i | 0.812826 | − | 1.05255i | ||||
\(418\) | −5118.27 | − | 2955.04i | −0.598907 | − | 0.345779i | ||||
\(419\) | −36.7472 | + | 63.6481i | −0.00428453 | + | 0.00742103i | −0.868160 | − | 0.496285i | \(-0.834697\pi\) |
0.863875 | + | 0.503706i | \(0.168030\pi\) | |||||||
\(420\) | −500.130 | − | 566.758i | −0.0581044 | − | 0.0658451i | ||||
\(421\) | −2515.40 | − | 4356.81i | −0.291195 | − | 0.504365i | 0.682897 | − | 0.730514i | \(-0.260720\pi\) |
−0.974093 | + | 0.226149i | \(0.927386\pi\) | |||||||
\(422\) | − | 2857.58i | − | 0.329632i | ||||||
\(423\) | −15629.2 | + | 4084.57i | −1.79650 | + | 0.469501i | ||||
\(424\) | 3462.13 | 0.396547 | ||||||||
\(425\) | −11464.1 | + | 1653.39i | −1.30844 | + | 0.188709i | ||||
\(426\) | −4123.70 | + | 1693.20i | −0.469000 | + | 0.192572i | ||||
\(427\) | 7558.17 | + | 4363.71i | 0.856594 | + | 0.494555i | ||||
\(428\) | 281.700 | + | 162.640i | 0.0318143 | + | 0.0183680i | ||||
\(429\) | −866.776 | + | 6430.34i | −0.0975486 | + | 0.723683i | ||||
\(430\) | 5.79413 | + | 16.7292i | 0.000649809 | + | 0.00187617i | ||||
\(431\) | −1951.29 | −0.218075 | −0.109037 | − | 0.994038i | \(-0.534777\pi\) | ||||
−0.109037 | + | 0.994038i | \(0.534777\pi\) | |||||||
\(432\) | −962.413 | − | 7873.08i | −0.107185 | − | 0.876838i | ||||
\(433\) | − | 3805.50i | − | 0.422357i | −0.977448 | − | 0.211178i | \(-0.932270\pi\) | ||
0.977448 | − | 0.211178i | \(-0.0677301\pi\) | |||||||
\(434\) | 6168.64 | + | 10684.4i | 0.682268 | + | 1.18172i | ||||
\(435\) | −10454.8 | − | 3513.05i | −1.15234 | − | 0.387213i | ||||
\(436\) | −85.8812 | + | 148.751i | −0.00943340 | + | 0.0163391i | ||||
\(437\) | −39.6240 | − | 22.8769i | −0.00433747 | − | 0.00250424i | ||||
\(438\) | −3361.98 | − | 8187.95i | −0.366762 | − | 0.893231i | ||||
\(439\) | 5952.18 | + | 10309.5i | 0.647111 | + | 1.12083i | 0.983810 | + | 0.179217i | \(0.0573565\pi\) |
−0.336698 | + | 0.941613i | \(0.609310\pi\) | |||||||
\(440\) | −2228.07 | + | 11573.9i | −0.241407 | + | 1.25401i | ||||
\(441\) | −2024.05 | + | 1999.21i | −0.218557 | + | 0.215874i | ||||
\(442\) | 6946.29i | 0.747514i | ||||||||
\(443\) | −7853.51 | + | 4534.23i | −0.842283 | + | 0.486292i | −0.858040 | − | 0.513583i | \(-0.828318\pi\) |
0.0157565 | + | 0.999876i | \(0.494984\pi\) | |||||||
\(444\) | 200.748 | + | 155.027i | 0.0214574 | + | 0.0165704i | ||||
\(445\) | 2427.33 | − | 2802.53i | 0.258577 | − | 0.298545i | ||||
\(446\) | 2031.48 | − | 3518.63i | 0.215681 | − | 0.373570i | ||||
\(447\) | −495.281 | + | 641.353i | −0.0524071 | + | 0.0678634i | ||||
\(448\) | −7396.18 | + | 4270.19i | −0.779993 | + | 0.450329i | ||||
\(449\) | −7332.48 | −0.770693 | −0.385346 | − | 0.922772i | \(-0.625918\pi\) | ||||
−0.385346 | + | 0.922772i | \(0.625918\pi\) | |||||||
\(450\) | 3506.33 | + | 8319.65i | 0.367311 | + | 0.871538i | ||||
\(451\) | −12827.9 | −1.33934 | ||||||||
\(452\) | −48.2539 | + | 27.8594i | −0.00502140 | + | 0.00289911i | ||||
\(453\) | 3185.75 | + | 7758.75i | 0.330419 | + | 0.804720i | ||||
\(454\) | −5664.61 | + | 9811.40i | −0.585580 | + | 1.01425i | ||||
\(455\) | 3162.03 | − | 3650.79i | 0.325799 | − | 0.376158i | ||||
\(456\) | 814.226 | − | 6040.49i | 0.0836176 | − | 0.620333i | ||||
\(457\) | −1013.62 | + | 585.214i | −0.103753 | + | 0.0599019i | −0.550979 | − | 0.834519i | \(-0.685745\pi\) |
0.447226 | + | 0.894421i | \(0.352412\pi\) | |||||||
\(458\) | − | 14810.5i | − | 1.51103i | ||||||
\(459\) | −5085.93 | + | 11963.9i | −0.517191 | + | 1.21661i | ||||
\(460\) | −1.64616 | + | 8.55115i | −0.000166854 | + | 0.000866738i | ||||
\(461\) | 7373.89 | + | 12771.9i | 0.744981 | + | 1.29034i | 0.950204 | + | 0.311629i | \(0.100875\pi\) |
−0.205223 | + | 0.978715i | \(0.565792\pi\) | |||||||
\(462\) | −9462.40 | − | 1275.48i | −0.952881 | − | 0.128443i | ||||
\(463\) | −1806.10 | − | 1042.75i | −0.181289 | − | 0.104667i | 0.406609 | − | 0.913602i | \(-0.366711\pi\) |
−0.587898 | + | 0.808935i | \(0.700044\pi\) | |||||||
\(464\) | −5366.60 | + | 9295.23i | −0.536936 | + | 0.930000i | ||||
\(465\) | 3443.33 | + | 17036.3i | 0.343399 | + | 1.69901i | ||||
\(466\) | −8476.34 | − | 14681.4i | −0.842615 | − | 1.45945i | ||||
\(467\) | − | 9943.76i | − | 0.985315i | −0.870223 | − | 0.492658i | \(-0.836025\pi\) | ||
0.870223 | − | 0.492658i | \(-0.163975\pi\) | |||||||
\(468\) | −617.869 | + | 161.475i | −0.0610278 | + | 0.0159491i | ||||
\(469\) | 5474.95 | 0.539040 | ||||||||
\(470\) | −5856.27 | − | 16908.7i | −0.574744 | − | 1.65944i | ||||
\(471\) | −4065.34 | − | 3139.43i | −0.397709 | − | 0.307128i | ||||
\(472\) | 3955.68 | + | 2283.81i | 0.385752 | + | 0.222714i | ||||
\(473\) | −22.8434 | − | 13.1887i | −0.00222059 | − | 0.00128206i | ||||
\(474\) | −3165.84 | − | 2444.80i | −0.306776 | − | 0.236906i | ||||
\(475\) | 884.693 | + | 6134.16i | 0.0854579 | + | 0.592536i | ||||
\(476\) | 1205.62 | 0.116092 | ||||||||
\(477\) | −1046.18 | + | 3810.13i | −0.100422 | + | 0.365731i | ||||
\(478\) | 6802.34i | 0.650903i | ||||||||
\(479\) | −1332.10 | − | 2307.26i | −0.127067 | − | 0.220087i | 0.795472 | − | 0.605990i | \(-0.207223\pi\) |
−0.922539 | + | 0.385904i | \(0.873890\pi\) | |||||||
\(480\) | −2165.62 | + | 437.709i | −0.205930 | + | 0.0416220i | ||||
\(481\) | −810.336 | + | 1403.54i | −0.0768153 | + | 0.133048i | ||||
\(482\) | 4752.47 | + | 2743.84i | 0.449106 | + | 0.259292i | ||||
\(483\) | −73.2548 | − | 9.87436i | −0.00690105 | − | 0.000930226i | ||||
\(484\) | −276.240 | − | 478.463i | −0.0259429 | − | 0.0449345i | ||||
\(485\) | 3850.01 | − | 19999.2i | 0.360453 | − | 1.87241i | ||||
\(486\) | 10024.8 | + | 1477.56i | 0.935669 | + | 0.137909i | ||||
\(487\) | 3071.50i | 0.285797i | 0.989737 | + | 0.142898i | \(0.0456422\pi\) | ||||
−0.989737 | + | 0.142898i | \(0.954358\pi\) | |||||||
\(488\) | 11599.8 | − | 6697.12i | 1.07602 | − | 0.621239i | ||||
\(489\) | −2064.43 | + | 15315.4i | −0.190914 | + | 1.41633i | ||||
\(490\) | −2382.09 | − | 2063.18i | −0.219616 | − | 0.190214i | ||||
\(491\) | −8044.80 | + | 13934.0i | −0.739423 | + | 1.28072i | 0.213332 | + | 0.976980i | \(0.431568\pi\) |
−0.952755 | + | 0.303739i | \(0.901765\pi\) | |||||||
\(492\) | −479.558 | − | 1167.94i | −0.0439434 | − | 0.107022i | ||||
\(493\) | 15234.9 | − | 8795.86i | 1.39177 | − | 0.803541i | ||||
\(494\) | 3716.80 | 0.338516 | ||||||||
\(495\) | −12064.0 | − | 5949.40i | −1.09543 | − | 0.540214i | ||||
\(496\) | 16914.3 | 1.53119 | ||||||||
\(497\) | −4281.40 | + | 2471.87i | −0.386413 | + | 0.223096i | ||||
\(498\) | 2421.80 | − | 3136.05i | 0.217918 | − | 0.282189i | ||||
\(499\) | 6030.29 | − | 10444.8i | 0.540987 | − | 0.937018i | −0.457860 | − | 0.889024i | \(-0.651384\pi\) |
0.998848 | − | 0.0479936i | \(-0.0152827\pi\) | |||||||
\(500\) | 1048.09 | − | 541.198i | 0.0937442 | − | 0.0484062i | ||||
\(501\) | −10030.5 | − | 7745.96i | −0.894467 | − | 0.690747i | ||||
\(502\) | 6419.25 | − | 3706.16i | 0.570727 | − | 0.329510i | ||||
\(503\) | 1324.90i | 0.117444i | 0.998274 | + | 0.0587222i | \(0.0187026\pi\) | ||||
−0.998274 | + | 0.0587222i | \(0.981297\pi\) | |||||||
\(504\) | −2489.79 | − | 9526.96i | −0.220048 | − | 0.841993i | ||||
\(505\) | 12596.7 | + | 2424.95i | 1.10999 | + | 0.213681i | ||||
\(506\) | 54.9995 | + | 95.2619i | 0.00483207 | + | 0.00836939i | ||||
\(507\) | 2786.19 | + | 6785.64i | 0.244061 | + | 0.594400i | ||||
\(508\) | −1331.45 | − | 768.710i | −0.116286 | − | 0.0671378i | ||||
\(509\) | −6060.53 | + | 10497.2i | −0.527757 | + | 0.914102i | 0.471719 | + | 0.881749i | \(0.343634\pi\) |
−0.999476 | + | 0.0323536i | \(0.989700\pi\) | |||||||
\(510\) | −13650.2 | − | 4586.78i | −1.18518 | − | 0.398247i | ||||
\(511\) | −4908.10 | − | 8501.08i | −0.424895 | − | 0.735940i | ||||
\(512\) | 12850.4i | 1.10920i | ||||||||
\(513\) | 6401.60 | + | 2721.37i | 0.550951 | + | 0.234213i | ||||
\(514\) | 1141.60 | 0.0979644 | ||||||||
\(515\) | 16719.0 | − | 5790.59i | 1.43054 | − | 0.495463i | ||||
\(516\) | 0.346810 | − | 2.57288i | 2.95881e−5 | − | 0.000219505i | ||||
\(517\) | 23088.4 | + | 13330.1i | 1.96408 | + | 1.13396i | ||||
\(518\) | −2065.35 | − | 1192.43i | −0.175186 | − | 0.101143i | ||||
\(519\) | 12755.1 | − | 5237.26i | 1.07878 | − | 0.442948i | ||||
\(520\) | −2425.89 | − | 7004.20i | −0.204581 | − | 0.590682i | ||||
\(521\) | 17997.6 | 1.51342 | 0.756708 | − | 0.653753i | \(-0.226807\pi\) | ||||
0.756708 | + | 0.653753i | \(0.226807\pi\) | |||||||
\(522\) | −9635.94 | − | 9755.68i | −0.807957 | − | 0.817997i | ||||
\(523\) | 6451.03i | 0.539357i | 0.962950 | + | 0.269679i | \(0.0869174\pi\) | ||||
−0.962950 | + | 0.269679i | \(0.913083\pi\) | |||||||
\(524\) | −100.549 | − | 174.156i | −0.00838263 | − | 0.0145191i | ||||
\(525\) | 5086.26 | + | 8624.44i | 0.422824 | + | 0.716955i | ||||
\(526\) | −5032.32 | + | 8716.23i | −0.417147 | + | 0.722520i | ||||
\(527\) | −24008.4 | − | 13861.2i | −1.98448 | − | 1.14574i | ||||
\(528\) | −8000.81 | + | 10360.5i | −0.659452 | + | 0.853942i | ||||
\(529\) | −6083.07 | − | 10536.2i | −0.499965 | − | 0.865965i | ||||
\(530\) | −4297.81 | − | 827.361i | −0.352235 | − | 0.0678081i | ||||
\(531\) | −3708.68 | + | 3663.16i | −0.303094 | + | 0.299374i | ||||
\(532\) | − | 645.101i | − | 0.0525727i | ||||||
\(533\) | 6986.53 | − | 4033.67i | 0.567768 | − | 0.327801i | ||||
\(534\) | 4264.02 | − | 1750.81i | 0.345547 | − | 0.141882i | ||||
\(535\) | −3256.96 | − | 2820.93i | −0.263197 | − | 0.227961i | ||||
\(536\) | 4201.28 | − | 7276.84i | 0.338559 | − | 0.586402i | ||||
\(537\) | −10826.0 | − | 1459.29i | −0.869973 | − | 0.117268i | ||||
\(538\) | −4587.59 | + | 2648.64i | −0.367630 | + | 0.212251i | ||||
\(539\) | 4695.17 | 0.375204 | ||||||||
\(540\) | 90.6752 | − | 1320.81i | 0.00722600 | − | 0.105256i | ||||
\(541\) | −520.899 | −0.0413959 | −0.0206980 | − | 0.999786i | \(-0.506589\pi\) | ||||
−0.0206980 | + | 0.999786i | \(0.506589\pi\) | |||||||
\(542\) | −13111.7 | + | 7570.03i | −1.03910 | + | 0.599927i | ||||
\(543\) | −8225.76 | − | 1108.79i | −0.650094 | − | 0.0876292i | ||||
\(544\) | 1762.01 | − | 3051.89i | 0.138871 | − | 0.240531i | ||||
\(545\) | 1489.58 | − | 1719.82i | 0.117076 | − | 0.135173i | ||||
\(546\) | 5554.65 | − | 2280.74i | 0.435379 | − | 0.178767i | ||||
\(547\) | −7013.36 | + | 4049.16i | −0.548207 | + | 0.316508i | −0.748399 | − | 0.663249i | \(-0.769177\pi\) |
0.200191 | + | 0.979757i | \(0.435844\pi\) | |||||||
\(548\) | − | 1728.14i | − | 0.134713i | ||||||
\(549\) | 3865.09 | + | 14789.4i | 0.300470 | + | 1.14972i | ||||
\(550\) | 5531.74 | − | 13835.1i | 0.428862 | − | 1.07260i | ||||
\(551\) | −4706.47 | − | 8151.84i | −0.363888 | − | 0.630273i | ||||
\(552\) | −69.3373 | + | 89.7868i | −0.00534636 | + | 0.00692315i | ||||
\(553\) | −3841.68 | − | 2218.00i | −0.295416 | − | 0.170559i | ||||
\(554\) | 8251.99 | − | 14292.9i | 0.632840 | − | 1.09611i | ||||
\(555\) | −2223.04 | − | 2519.19i | −0.170023 | − | 0.192673i | ||||
\(556\) | −919.730 | − | 1593.02i | −0.0701533 | − | 0.121509i | ||||
\(557\) | 6687.22i | 0.508701i | 0.967112 | + | 0.254351i | \(0.0818617\pi\) | ||||
−0.967112 | + | 0.254351i | \(0.918138\pi\) | |||||||
\(558\) | −5721.55 | + | 20837.6i | −0.434072 | + | 1.58087i | ||||
\(559\) | 16.5885 | 0.00125513 | ||||||||
\(560\) | 9207.19 | − | 3188.89i | 0.694776 | − | 0.240634i | ||||
\(561\) | 19846.9 | − | 8149.15i | 1.49365 | − | 0.613293i | ||||
\(562\) | 7745.69 | + | 4471.98i | 0.581374 | + | 0.335657i | ||||
\(563\) | −2102.31 | − | 1213.77i | −0.157375 | − | 0.0908602i | 0.419245 | − | 0.907873i | \(-0.362295\pi\) |
−0.576619 | + | 0.817013i | \(0.695628\pi\) | |||||||
\(564\) | −350.530 | + | 2600.47i | −0.0261701 | + | 0.194148i | ||||
\(565\) | 697.424 | − | 241.551i | 0.0519307 | − | 0.0179861i | ||||
\(566\) | −13651.7 | −1.01382 | ||||||||
\(567\) | 11236.9 | + | 138.779i | 0.832286 | + | 0.0102790i | ||||
\(568\) | 7587.30i | 0.560486i | ||||||||
\(569\) | 1276.83 | + | 2211.53i | 0.0940727 | + | 0.162939i | 0.909221 | − | 0.416313i | \(-0.136678\pi\) |
−0.815149 | + | 0.579252i | \(0.803345\pi\) | |||||||
\(570\) | −2454.28 | + | 7303.93i | −0.180348 | + | 0.536716i | ||||
\(571\) | −4518.07 | + | 7825.53i | −0.331130 | + | 0.573535i | −0.982734 | − | 0.185025i | \(-0.940763\pi\) |
0.651603 | + | 0.758560i | \(0.274097\pi\) | |||||||
\(572\) | 912.752 | + | 526.977i | 0.0667204 | + | 0.0385210i | ||||
\(573\) | −6725.07 | − | 16378.6i | −0.490303 | − | 1.19411i | ||||
\(574\) | 5935.65 | + | 10280.8i | 0.431619 | + | 0.747585i | ||||
\(575\) | 42.8249 | − | 107.107i | 0.00310595 | − | 0.00776812i | ||||
\(576\) | −14424.6 | − | 3960.69i | −1.04345 | − | 0.286508i | ||||
\(577\) | − | 5427.02i | − | 0.391560i | −0.980648 | − | 0.195780i | \(-0.937276\pi\) | ||
0.980648 | − | 0.195780i | \(-0.0627238\pi\) | |||||||
\(578\) | 8509.48 | − | 4912.95i | 0.612366 | − | 0.353550i | ||||
\(579\) | 3368.75 | + | 2601.50i | 0.241797 | + | 0.186726i | ||||
\(580\) | −1172.91 | + | 1354.20i | −0.0839695 | + | 0.0969487i | ||||
\(581\) | 2197.13 | − | 3805.54i | 0.156889 | − | 0.271739i | ||||
\(582\) | 15476.2 | − | 20040.6i | 1.10225 | − | 1.42733i | ||||
\(583\) | 5647.20 | − | 3260.41i | 0.401171 | − | 0.231616i | ||||
\(584\) | −15065.2 | −1.06747 | ||||||||
\(585\) | 8441.27 | − | 553.214i | 0.596587 | − | 0.0390984i | ||||
\(586\) | 11048.8 | 0.778874 | ||||||||
\(587\) | −4624.04 | + | 2669.69i | −0.325136 | + | 0.187717i | −0.653679 | − | 0.756772i | \(-0.726776\pi\) |
0.328544 | + | 0.944489i | \(0.393442\pi\) | |||||||
\(588\) | 175.525 | + | 427.482i | 0.0123104 | + | 0.0299814i | ||||
\(589\) | −7416.84 | + | 12846.3i | −0.518855 | + | 0.898683i | ||||
\(590\) | −4364.71 | − | 3780.37i | −0.304563 | − | 0.263789i | ||||
\(591\) | −249.874 | + | 1853.74i | −0.0173916 | + | 0.129023i | ||||
\(592\) | −2831.56 | + | 1634.80i | −0.196582 | + | 0.113497i | ||||
\(593\) | 4617.67i | 0.319772i | 0.987135 | + | 0.159886i | \(0.0511127\pi\) | ||||
−0.987135 | + | 0.159886i | \(0.948887\pi\) | |||||||
\(594\) | −10057.2 | − | 13361.2i | −0.694700 | − | 0.922926i | ||||
\(595\) | −15682.1 | − | 3018.93i | −1.08051 | − | 0.208007i | ||||
\(596\) | 65.8128 | + | 113.991i | 0.00452315 | + | 0.00783432i | ||||
\(597\) | −6891.87 | − | 928.988i | −0.472472 | − | 0.0636867i | ||||
\(598\) | −59.9095 | − | 34.5888i | −0.00409680 | − | 0.00236529i | ||||
\(599\) | 5444.19 | − | 9429.61i | 0.371358 | − | 0.643211i | −0.618417 | − | 0.785850i | \(-0.712226\pi\) |
0.989775 | + | 0.142639i | \(0.0455589\pi\) | |||||||
\(600\) | 15365.9 | − | 142.124i | 1.04552 | − | 0.00967031i | ||||
\(601\) | 5636.61 | + | 9762.89i | 0.382566 | + | 0.662623i | 0.991428 | − | 0.130653i | \(-0.0417072\pi\) |
−0.608863 | + | 0.793276i | \(0.708374\pi\) | |||||||
\(602\) | 24.4104i | 0.00165264i | ||||||||
\(603\) | 6738.73 | + | 6822.47i | 0.455095 | + | 0.460750i | ||||
\(604\) | 1362.39 | 0.0917795 | ||||||||
\(605\) | 2395.10 | + | 6915.32i | 0.160950 | + | 0.464707i | ||||
\(606\) | 12622.7 | + | 9747.81i | 0.846142 | + | 0.653428i | ||||
\(607\) | 8854.84 | + | 5112.34i | 0.592103 | + | 0.341851i | 0.765929 | − | 0.642926i | \(-0.222280\pi\) |
−0.173825 | + | 0.984776i | \(0.555613\pi\) | |||||||
\(608\) | −1633.00 | − | 942.813i | −0.108926 | − | 0.0628884i | ||||
\(609\) | −12035.9 | − | 9294.65i | −0.800852 | − | 0.618453i | ||||
\(610\) | −16000.1 | + | 5541.59i | −1.06201 | + | 0.367824i | ||||
\(611\) | −16766.4 | −1.11014 | ||||||||
\(612\) | 1483.92 | + | 1502.36i | 0.0980126 | + | 0.0992306i | ||||
\(613\) | − | 7119.74i | − | 0.469109i | −0.972103 | − | 0.234554i | \(-0.924637\pi\) | ||
0.972103 | − | 0.234554i | \(-0.0753631\pi\) | |||||||
\(614\) | −4524.23 | − | 7836.20i | −0.297367 | − | 0.515054i | ||||
\(615\) | 3313.27 | + | 16392.8i | 0.217242 | + | 1.07483i | ||||
\(616\) | −8125.50 | + | 14073.8i | −0.531470 | + | 0.920533i | ||||
\(617\) | 4640.99 | + | 2679.48i | 0.302819 | + | 0.174832i | 0.643708 | − | 0.765271i | \(-0.277395\pi\) |
−0.340890 | + | 0.940103i | \(0.610728\pi\) | |||||||
\(618\) | 21800.3 | + | 2938.56i | 1.41899 | + | 0.191272i | ||||
\(619\) | −10798.6 | − | 18703.7i | −0.701183 | − | 1.21448i | −0.968051 | − | 0.250752i | \(-0.919322\pi\) |
0.266869 | − | 0.963733i | \(-0.414011\pi\) | |||||||
\(620\) | 2772.33 | + | 533.696i | 0.179580 | + | 0.0345706i | ||||
\(621\) | −77.8595 | − | 103.438i | −0.00503123 | − | 0.00668411i | ||||
\(622\) | 16107.1i | 1.03832i | ||||||||
\(623\) | 4427.08 | − | 2555.98i | 0.284699 | − | 0.164371i | ||||
\(624\) | 1099.73 | − | 8158.52i | 0.0705517 | − | 0.523401i | ||||
\(625\) | −14988.2 | + | 4415.16i | −0.959247 | + | 0.282570i | ||||
\(626\) | −13633.4 | + | 23613.7i | −0.870447 | + | 1.50766i | ||||
\(627\) | −4360.43 | − | 10619.6i | −0.277733 | − | 0.676406i | ||||
\(628\) | −722.554 | + | 417.167i | −0.0459125 | + | 0.0265076i | ||||
\(629\) | 5358.89 | 0.339703 | ||||||||
\(630\) | 814.067 | + | 12421.5i | 0.0514813 | + | 0.785532i | ||||
\(631\) | −1384.23 | −0.0873305 | −0.0436652 | − | 0.999046i | \(-0.513903\pi\) | ||||
−0.0436652 | + | 0.999046i | \(0.513903\pi\) | |||||||
\(632\) | −5895.95 | + | 3404.03i | −0.371089 | + | 0.214248i | ||||
\(633\) | 3392.62 | − | 4393.20i | 0.213025 | − | 0.275851i | ||||
\(634\) | −7223.47 | + | 12511.4i | −0.452493 | + | 0.783741i | ||||
\(635\) | 15393.9 | + | 13333.0i | 0.962028 | + | 0.833234i | ||||
\(636\) | 507.967 | + | 392.274i | 0.0316701 | + | 0.0244571i | ||||
\(637\) | −2557.16 | + | 1476.38i | −0.159056 | + | 0.0918309i | ||||
\(638\) | 22630.1i | 1.40429i | ||||||||
\(639\) | −8349.93 | − | 2292.71i | −0.516930 | − | 0.141938i | ||||
\(640\) | 2489.25 | − | 12930.6i | 0.153744 | − | 0.798637i | ||||
\(641\) | 811.571 | + | 1405.68i | 0.0500080 | + | 0.0866164i | 0.889946 | − | 0.456066i | \(-0.150742\pi\) |
−0.839938 | + | 0.542683i | \(0.817409\pi\) | |||||||
\(642\) | −2034.71 | − | 4955.43i | −0.125083 | − | 0.304635i | ||||
\(643\) | −24396.6 | − | 14085.4i | −1.49628 | − | 0.863879i | −0.496292 | − | 0.868156i | \(-0.665305\pi\) |
−0.999991 | + | 0.00427672i | \(0.998639\pi\) | |||||||
\(644\) | −6.00335 | + | 10.3981i | −0.000367337 | + | 0.000636247i | ||||
\(645\) | −10.9537 | + | 32.5982i | −0.000668686 | + | 0.00199001i | ||||
\(646\) | −6144.96 | − | 10643.4i | −0.374257 | − | 0.648233i | ||||
\(647\) | 16695.3i | 1.01447i | 0.861808 | + | 0.507235i | \(0.169332\pi\) | ||||
−0.861808 | + | 0.507235i | \(0.830668\pi\) | |||||||
\(648\) | 8807.27 | − | 14828.7i | 0.533923 | − | 0.898958i | ||||
\(649\) | 8602.97 | 0.520333 | ||||||||
\(650\) | 1337.61 | + | 9274.56i | 0.0807161 | + | 0.559659i | ||||
\(651\) | −3201.33 | + | 23749.6i | −0.192734 | + | 1.42983i | ||||
\(652\) | 2173.93 | + | 1255.12i | 0.130580 | + | 0.0753901i | ||||
\(653\) | −3888.42 | − | 2244.98i | −0.233025 | − | 0.134537i | 0.378942 | − | 0.925421i | \(-0.376288\pi\) |
−0.611967 | + | 0.790883i | \(0.709621\pi\) | |||||||
\(654\) | 2616.69 | − | 1074.42i | 0.156454 | − | 0.0642401i | ||||
\(655\) | 871.795 | + | 2517.11i | 0.0520059 | + | 0.150155i | ||||
\(656\) | 16275.4 | 0.968669 | ||||||||
\(657\) | 4552.37 | − | 16579.5i | 0.270327 | − | 0.984516i | ||||
\(658\) | − | 24672.2i | − | 1.46173i | ||||||
\(659\) | −7650.45 | − | 13251.0i | −0.452229 | − | 0.783284i | 0.546295 | − | 0.837593i | \(-0.316038\pi\) |
−0.998524 | + | 0.0543086i | \(0.982705\pi\) | |||||||
\(660\) | −1638.28 | + | 1445.68i | −0.0966210 | + | 0.0852624i | ||||
\(661\) | 10317.4 | − | 17870.3i | 0.607113 | − | 1.05155i | −0.384600 | − | 0.923083i | \(-0.625661\pi\) |
0.991714 | − | 0.128468i | \(-0.0410059\pi\) | |||||||
\(662\) | −5335.06 | − | 3080.20i | −0.313222 | − | 0.180839i | ||||
\(663\) | −8246.88 | + | 10679.1i | −0.483080 | + | 0.625554i | ||||
\(664\) | −3372.00 | − | 5840.47i | −0.197077 | − | 0.341347i | ||||
\(665\) | −1615.36 | + | 8391.15i | −0.0941971 | + | 0.489316i | ||||
\(666\) | −1056.18 | − | 4041.36i | −0.0614504 | − | 0.235134i | ||||
\(667\) | 175.195i | 0.0101703i | ||||||||
\(668\) | −1782.77 | + | 1029.28i | −0.103259 | + | 0.0596169i | ||||
\(669\) | 7300.61 | − | 2997.64i | 0.421910 | − | 0.173237i | ||||
\(670\) | −6954.35 | + | 8029.28i | −0.401000 | + | 0.462982i | ||||
\(671\) | 12613.8 | − | 21847.8i | 0.725709 | − | 1.25697i | ||||
\(672\) | −3019.01 | − | 406.946i | −0.173305 | − | 0.0233606i | ||||
\(673\) | −15202.1 | + | 8776.92i | −0.870723 | + | 0.502712i | −0.867588 | − | 0.497283i | \(-0.834331\pi\) |
−0.00313453 | + | 0.999995i | \(0.500998\pi\) | |||||||
\(674\) | 25590.5 | 1.46248 | ||||||||
\(675\) | −4486.82 | + | 16953.3i | −0.255848 | + | 0.966717i | ||||
\(676\) | 1191.52 | 0.0677922 | ||||||||
\(677\) | −13148.6 | + | 7591.32i | −0.746440 | + | 0.430958i | −0.824406 | − | 0.565998i | \(-0.808491\pi\) |
0.0779659 | + | 0.996956i | \(0.475157\pi\) | |||||||
\(678\) | 909.387 | + | 122.581i | 0.0515115 | + | 0.00694348i | ||||
\(679\) | 14040.5 | − | 24318.8i | 0.793556 | − | 1.37448i | ||||
\(680\) | −16046.4 | + | 18526.7i | −0.904930 | + | 1.04481i | ||||
\(681\) | −20357.1 | + | 8358.65i | −1.14550 | + | 0.470344i | ||||
\(682\) | 30884.5 | − | 17831.2i | 1.73406 | − | 1.00116i | ||||
\(683\) | 1735.90i | 0.0972510i | 0.998817 | + | 0.0486255i | \(0.0154841\pi\) | ||||
−0.998817 | + | 0.0486255i | \(0.984516\pi\) | |||||||
\(684\) | 803.877 | − | 794.010i | 0.0449371 | − | 0.0443856i | ||||
\(685\) | −4327.34 | + | 22478.8i | −0.241371 | + | 1.25383i | ||||
\(686\) | −9244.67 | − | 16012.2i | −0.514523 | − | 0.891181i | ||||
\(687\) | 17583.6 | − | 22769.5i | 0.976501 | − | 1.26450i | ||||
\(688\) | 28.9827 | + | 16.7331i | 0.00160604 | + | 0.000927246i | ||||
\(689\) | −2050.45 | + | 3551.48i | −0.113376 | + | 0.196373i | ||||
\(690\) | 107.530 | − | 94.8892i | 0.00593277 | − | 0.00523532i | ||||
\(691\) | 13824.0 | + | 23943.8i | 0.761055 | + | 1.31819i | 0.942307 | + | 0.334750i | \(0.108652\pi\) |
−0.181252 | + | 0.983437i | \(0.558015\pi\) | |||||||
\(692\) | − | 2239.72i | − | 0.123037i | ||||||
\(693\) | −13033.0 | − | 13195.0i | −0.714408 | − | 0.723285i | ||||
\(694\) | −218.076 | −0.0119280 | ||||||||
\(695\) | 7974.39 | + | 23024.2i | 0.435232 | + | 1.25663i | ||||
\(696\) | −21589.6 | + | 8864.70i | −1.17579 | + | 0.482781i | ||||
\(697\) | −23101.5 | − | 13337.7i | −1.25543 | − | 0.724822i | ||||
\(698\) | −216.775 | − | 125.155i | −0.0117551 | − | 0.00678682i | ||||
\(699\) | 4398.95 | − | 32634.4i | 0.238031 | − | 1.76588i | ||||
\(700\) | 1609.72 | − | 232.161i | 0.0869170 | − | 0.0125355i | ||||
\(701\) | 19116.9 | 1.03001 | 0.515005 | − | 0.857187i | \(-0.327790\pi\) | ||||
0.515005 | + | 0.857187i | \(0.327790\pi\) | |||||||
\(702\) | 9678.91 | + | 4114.57i | 0.520380 | + | 0.221217i | ||||
\(703\) | − | 2867.42i | − | 0.153836i | ||||||
\(704\) | 12343.5 | + | 21379.5i | 0.660812 | + | 1.14456i | ||||
\(705\) | 11071.2 | − | 32947.9i | 0.591441 | − | 1.76013i | ||||
\(706\) | 8928.58 | − | 15464.8i | 0.475965 | − | 0.824396i | ||||
\(707\) | 15317.4 | + | 8843.51i | 0.814809 | + | 0.470430i | ||||
\(708\) | 321.614 | + | 783.277i | 0.0170720 | + | 0.0415782i | ||||
\(709\) | −5022.64 | − | 8699.47i | −0.266050 | − | 0.460812i | 0.701788 | − | 0.712385i | \(-0.252385\pi\) |
−0.967838 | + | 0.251574i | \(0.919052\pi\) | |||||||
\(710\) | 1813.17 | − | 9418.68i | 0.0958410 | − | 0.497855i | ||||
\(711\) | −1964.56 | − | 7517.19i | −0.103624 | − | 0.396507i | ||||
\(712\) | − | 7845.47i | − | 0.412952i | ||||||
\(713\) | 239.098 | − | 138.043i | 0.0125586 | − | 0.00725070i | ||||
\(714\) | −15714.6 | − | 12135.5i | −0.823673 | − | 0.636077i | ||||
\(715\) | −10553.0 | − | 9140.23i | −0.551974 | − | 0.478077i | ||||
\(716\) | −887.207 | + | 1536.69i | −0.0463080 | + | 0.0802077i | ||||
\(717\) | −8075.97 | + | 10457.8i | −0.420645 | + | 0.544705i | ||||
\(718\) | −19308.3 | + | 11147.7i | −1.00359 | + | 0.579425i | ||||
\(719\) | −22559.7 | −1.17014 | −0.585072 | − | 0.810981i | \(-0.698934\pi\) | ||||
−0.585072 | + | 0.810981i | \(0.698934\pi\) | |||||||
\(720\) | 15306.2 | + | 7548.32i | 0.792263 | + | 0.390707i | ||||
\(721\) | 24395.4 | 1.26010 | ||||||||
\(722\) | 10195.0 | − | 5886.10i | 0.525512 | − | 0.303404i | ||||
\(723\) | 4048.79 | + | 9860.64i | 0.208266 | + | 0.507222i | ||||
\(724\) | −674.114 | + | 1167.60i | −0.0346040 | + | 0.0599358i | ||||
\(725\) | 18647.6 | − | 14677.8i | 0.955246 | − | 0.751889i | ||||
\(726\) | −1215.45 | + | 9017.03i | −0.0621343 | + | 0.460955i | ||||
\(727\) | −3176.64 | + | 1834.04i | −0.162057 | + | 0.0935635i | −0.578835 | − | 0.815445i | \(-0.696492\pi\) |
0.416778 | + | 0.909008i | \(0.363159\pi\) | |||||||
\(728\) | − | 10220.1i | − | 0.520307i | ||||||
\(729\) | 13657.8 | + | 14173.4i | 0.693887 | + | 0.720084i | ||||
\(730\) | 18701.6 | + | 3600.20i | 0.948187 | + | 0.182533i | ||||
\(731\) | −27.4256 | − | 47.5026i | −0.00138765 | − | 0.00240348i | ||||
\(732\) | 2460.74 | + | 331.694i | 0.124251 | + | 0.0167483i | ||||
\(733\) | 27217.8 | + | 15714.2i | 1.37150 | + | 0.791838i | 0.991117 | − | 0.132989i | \(-0.0424576\pi\) |
0.380387 | + | 0.924828i | \(0.375791\pi\) | |||||||
\(734\) | −168.209 | + | 291.347i | −0.00845875 | + | 0.0146510i | ||||
\(735\) | −1212.70 | − | 5999.99i | −0.0608587 | − | 0.301106i | ||||
\(736\) | 17.5478 | + | 30.3936i | 0.000878830 | + | 0.00152218i | ||||
\(737\) | − | 15826.0i | − | 0.790987i | ||||||
\(738\) | −5505.44 | + | 20050.5i | −0.274604 | + | 1.00009i | ||||
\(739\) | −17467.0 | −0.869465 | −0.434732 | − | 0.900560i | \(-0.643157\pi\) | ||||
−0.434732 | + | 0.900560i | \(0.643157\pi\) | |||||||
\(740\) | −515.691 | + | 178.608i | −0.0256178 | + | 0.00887267i | ||||
\(741\) | 5714.15 | + | 4412.72i | 0.283286 | + | 0.218766i | ||||
\(742\) | −5226.09 | − | 3017.28i | −0.258566 | − | 0.149283i | ||||
\(743\) | 21644.9 | + | 12496.7i | 1.06874 | + | 0.617038i | 0.927837 | − | 0.372985i | \(-0.121666\pi\) |
0.140904 | + | 0.990023i | \(0.454999\pi\) | |||||||
\(744\) | 29109.4 | + | 22479.6i | 1.43441 | + | 1.10772i | ||||
\(745\) | −570.620 | − | 1647.54i | −0.0280616 | − | 0.0810215i | ||||
\(746\) | 3840.74 | 0.188498 | ||||||||
\(747\) | 7446.47 | − | 1946.07i | 0.364728 | − | 0.0953187i | ||||
\(748\) | − | 3484.99i | − | 0.170353i | ||||||
\(749\) | −2970.43 | − | 5144.94i | −0.144910 | − | 0.250991i | ||||
\(750\) | −19108.8 | − | 3495.63i | −0.930339 | − | 0.170190i | ||||
\(751\) | 4674.02 | − | 8095.64i | 0.227107 | − | 0.393361i | −0.729842 | − | 0.683615i | \(-0.760407\pi\) |
0.956950 | + | 0.290254i | \(0.0937399\pi\) | |||||||
\(752\) | −29293.5 | − | 16912.6i | −1.42051 | − | 0.820132i | ||||
\(753\) | 14268.9 | + | 1923.38i | 0.690556 | + | 0.0930833i | ||||
\(754\) | −7115.95 | − | 12325.2i | −0.343697 | − | 0.595301i | ||||
\(755\) | −17721.3 | − | 3411.48i | −0.854230 | − | 0.164446i | ||||
\(756\) | 714.140 | − | 1679.91i | 0.0343558 | − | 0.0808169i | ||||
\(757\) | 11708.4i | 0.562153i | 0.959685 | + | 0.281076i | \(0.0906915\pi\) | ||||
−0.959685 | + | 0.281076i | \(0.909309\pi\) | |||||||
\(758\) | −4923.02 | + | 2842.31i | −0.235900 | + | 0.136197i | ||||
\(759\) | −28.5430 | + | 211.751i | −0.00136501 | + | 0.0101266i | ||||
\(760\) | 9913.24 | + | 8586.08i | 0.473146 | + | 0.409802i | ||||
\(761\) | −9705.34 | + | 16810.1i | −0.462310 | + | 0.800745i | −0.999076 | − | 0.0429866i | \(-0.986313\pi\) |
0.536765 | + | 0.843732i | \(0.319646\pi\) | |||||||
\(762\) | 9616.95 | + | 23421.6i | 0.457199 | + | 1.11349i | ||||
\(763\) | 2716.76 | − | 1568.52i | 0.128904 | − | 0.0744225i | ||||
\(764\) | −2875.98 | −0.136190 | ||||||||
\(765\) | −15540.1 | − | 23257.7i | −0.734447 | − | 1.09919i | ||||
\(766\) | −18888.0 | −0.890927 | ||||||||
\(767\) | −4685.50 | + | 2705.17i | −0.220578 | + | 0.127351i | ||||
\(768\) | −4069.94 | + | 5270.28i | −0.191226 | + | 0.247624i | ||||
\(769\) | −4928.83 | + | 8536.98i | −0.231129 | + | 0.400327i | −0.958141 | − | 0.286298i | \(-0.907575\pi\) |
0.727012 | + | 0.686625i | \(0.240909\pi\) | |||||||
\(770\) | 13450.1 | − | 15529.0i | 0.629489 | − | 0.726789i | ||||
\(771\) | 1755.07 | + | 1355.34i | 0.0819811 | + | 0.0633094i | ||||
\(772\) | 598.746 | − | 345.686i | 0.0279137 | − | 0.0161160i | ||||
\(773\) | − | 27574.5i | − | 1.28303i | −0.767108 | − | 0.641517i | \(-0.778305\pi\) | ||
0.767108 | − | 0.641517i | \(-0.221695\pi\) | |||||||
\(774\) | −30.4183 | + | 30.0450i | −0.00141262 | + | 0.00139528i | ||||
\(775\) | −34724.7 | − | 13884.1i | −1.60948 | − | 0.643525i | ||||
\(776\) | −21548.4 | − | 37322.9i | −0.996831 | − | 1.72656i | ||||
\(777\) | −1759.54 | − | 4285.27i | −0.0812395 | − | 0.197855i | ||||
\(778\) | 22747.7 | + | 13133.4i | 1.04826 | + | 0.605212i | ||||
\(779\) | −7136.70 | + | 12361.1i | −0.328240 | + | 0.568528i | ||||
\(780\) | 437.677 | − | 1302.52i | 0.0200915 | − | 0.0597921i | ||||
\(781\) | 7145.22 | + | 12375.9i | 0.327370 | + | 0.567022i | ||||
\(782\) | 228.741i | 0.0104601i | ||||||||
\(783\) | −3231.85 | − | 26438.3i | −0.147505 | − | 1.20668i | ||||
\(784\) | −5957.01 | −0.271365 | ||||||||
\(785\) | 10443.2 | − | 3616.99i | 0.474821 | − | 0.164453i | ||||
\(786\) | −442.411 | + | 3282.11i | −0.0200767 | + | 0.148943i | ||||
\(787\) | 10199.2 | + | 5888.51i | 0.461959 | + | 0.266712i | 0.712868 | − | 0.701298i | \(-0.247396\pi\) |
−0.250908 | + | 0.968011i | \(0.580729\pi\) | |||||||
\(788\) | 263.128 | + | 151.917i | 0.0118954 | + | 0.00686779i | ||||
\(789\) | −18084.8 | + | 7425.64i | −0.816016 | + | 0.335057i | ||||
\(790\) | 8132.56 | − | 2816.69i | 0.366257 | − | 0.126852i | ||||
\(791\) | 1017.64 | 0.0457436 | ||||||||
\(792\) | −27538.8 | + | 7197.04i | −1.23554 | + | 0.322898i | ||||
\(793\) | 15865.5i | 0.710466i | ||||||||
\(794\) | 14706.8 | + | 25473.0i | 0.657338 | + | 1.13854i | ||||
\(795\) | −5625.10 | − | 6374.48i | −0.250946 | − | 0.284377i | ||||
\(796\) | −564.800 | + | 978.263i | −0.0251493 | + | 0.0435598i | ||||
\(797\) | 21356.0 | + | 12329.9i | 0.949146 | + | 0.547990i | 0.892816 | − | 0.450422i | \(-0.148727\pi\) |
0.0563307 | + | 0.998412i | \(0.482060\pi\) | |||||||
\(798\) | −6493.42 | + | 8408.51i | −0.288051 | + | 0.373005i | ||||
\(799\) | 27719.8 | + | 48012.1i | 1.22735 | + | 2.12584i | ||||
\(800\) | 1764.92 | − | 4414.14i | 0.0779991 | − | 0.195079i | ||||
\(801\) | 8634.05 | + | 2370.72i | 0.380860 | + | 0.104576i | ||||
\(802\) | 17473.0i | 0.769318i | ||||||||
\(803\) | −24573.3 | + | 14187.4i | −1.07992 | + | 0.623491i | ||||
\(804\) | 1440.91 | − | 591.640i | 0.0632053 | − | 0.0259521i | ||||
\(805\) | 104.126 | − | 120.221i | 0.00455895 | − | 0.00526363i | ||||
\(806\) | −11213.9 | + | 19423.0i | −0.490065 | + | 0.848818i | ||||
\(807\) | −10197.4 | − | 1374.56i | −0.444817 | − | 0.0599589i | ||||
\(808\) | 23508.1 | − | 13572.4i | 1.02353 | − | 0.590935i | ||||
\(809\) | −19263.0 | −0.837144 | −0.418572 | − | 0.908184i | \(-0.637469\pi\) | ||||
−0.418572 | + | 0.908184i | \(0.637469\pi\) | |||||||
\(810\) | −14476.8 | + | 16303.2i | −0.627978 | + | 0.707205i | ||||
\(811\) | −13597.4 | −0.588741 | −0.294370 | − | 0.955691i | \(-0.595110\pi\) | ||||
−0.294370 | + | 0.955691i | \(0.595110\pi\) | |||||||
\(812\) | −2139.20 | + | 1235.07i | −0.0924524 | + | 0.0533774i | ||||
\(813\) | −29145.1 | − | 3928.60i | −1.25727 | − | 0.169474i | ||||
\(814\) | −3446.85 | + | 5970.12i | −0.148418 | + | 0.257067i | ||||
\(815\) | −25134.6 | − | 21769.6i | −1.08028 | − | 0.935652i | ||||
\(816\) | −25180.8 | + | 10339.3i | −1.08027 | + | 0.443562i | ||||
\(817\) | −25.4176 | + | 14.6748i | −0.00108843 | + | 0.000628406i | ||||
\(818\) | − | 13389.6i | − | 0.572318i | ||||||
\(819\) | 11247.4 | + | 3088.29i | 0.479873 | + | 0.131763i | ||||
\(820\) | 2667.62 | + | 513.538i | 0.113607 | + | 0.0218701i | ||||
\(821\) | −14336.8 | − | 24832.1i | −0.609449 | − | 1.05560i | −0.991331 | − | 0.131386i | \(-0.958057\pi\) |
0.381882 | − | 0.924211i | \(-0.375276\pi\) | |||||||
\(822\) | −17395.0 | + | 22525.3i | −0.738103 | + | 0.955790i | ||||
\(823\) | 7307.19 | + | 4218.81i | 0.309493 | + | 0.178686i | 0.646700 | − | 0.762745i | \(-0.276149\pi\) |
−0.337207 | + | 0.941431i | \(0.609482\pi\) | |||||||
\(824\) | 18720.2 | − | 32424.3i | 0.791443 | − | 1.37082i | ||||
\(825\) | 24930.0 | − | 14702.4i | 1.05206 | − | 0.620451i | ||||
\(826\) | −3980.73 | − | 6894.82i | −0.167684 | − | 0.290438i | ||||
\(827\) | − | 11315.7i | − | 0.475799i | −0.971290 | − | 0.237900i | \(-0.923541\pi\) | ||
0.971290 | − | 0.237900i | \(-0.0764590\pi\) | |||||||
\(828\) | −20.3464 | + | 5.31738i | −0.000853971 | + | 0.000223178i | ||||
\(829\) | −6773.57 | −0.283783 | −0.141891 | − | 0.989882i | \(-0.545318\pi\) | ||||
−0.141891 | + | 0.989882i | \(0.545318\pi\) | |||||||
\(830\) | 2790.19 | + | 8056.04i | 0.116685 | + | 0.336903i | ||||
\(831\) | 29655.5 | − | 12176.6i | 1.23795 | − | 0.508304i | ||||
\(832\) | −13445.4 | − | 7762.72i | −0.560260 | − | 0.323466i | ||||
\(833\) | 8455.47 | + | 4881.77i | 0.351698 | + | 0.203053i | ||||
\(834\) | −4046.78 | + | 30021.8i | −0.168020 | + | 1.24649i | ||||
\(835\) | 25766.7 | − | 8924.24i | 1.06790 | − | 0.369864i | ||||
\(836\) | −1864.74 | −0.0771452 | ||||||||
\(837\) | −33535.3 | + | 25242.5i | −1.38489 | + | 1.04242i | ||||
\(838\) | − | 196.602i | − | 0.00810443i | ||||||
\(839\) | 4456.94 | + | 7719.65i | 0.183398 | + | 0.317654i | 0.943035 | − | 0.332692i | \(-0.107957\pi\) |
−0.759638 | + | 0.650347i | \(0.774624\pi\) | |||||||
\(840\) | 20083.7 | + | 6748.57i | 0.824945 | + | 0.277200i | ||||
\(841\) | −5826.91 | + | 10092.5i | −0.238916 | + | 0.413814i | ||||
\(842\) | 11654.7 | + | 6728.87i | 0.477018 | + | 0.275406i | ||||
\(843\) | 6598.81 | + | 16071.1i | 0.269603 | + | 0.656605i | ||||
\(844\) | −450.810 | − | 780.826i | −0.0183857 | − | 0.0318450i | ||||
\(845\) | −15498.6 | − | 2983.61i | −0.630970 | − | 0.121467i | ||||
\(846\) | 30744.6 | − | 30367.2i | 1.24943 | − | 1.23410i | ||||
\(847\) | 10090.4i | 0.409341i | ||||||||
\(848\) | −7164.90 | + | 4136.66i | −0.290146 | + | 0.167516i | ||||
\(849\) | −20987.9 | − | 16207.8i | −0.848414 | − | 0.655182i | ||||
\(850\) | 24347.0 | − | 19163.9i | 0.982466 | − | 0.773314i | ||||
\(851\) | −26.6844 | + | 46.2187i | −0.00107489 | + | 0.00186176i | ||||
\(852\) | −859.673 | + | 1113.21i | −0.0345680 | + | 0.0447630i | ||||
\(853\) | −27426.4 | + | 15834.6i | −1.10089 | + | 0.635600i | −0.936455 | − | 0.350787i | \(-0.885914\pi\) |
−0.164437 | + | 0.986388i | \(0.552581\pi\) | |||||||
\(854\) | −23346.4 | −0.935478 | ||||||||
\(855\) | −12444.7 | + | 8315.14i | −0.497776 | + | 0.332598i | ||||
\(856\) | −9117.63 | −0.364059 | ||||||||
\(857\) | 38152.6 | − | 22027.4i | 1.52073 | − | 0.877995i | 0.521031 | − | 0.853538i | \(-0.325548\pi\) |
0.999701 | − | 0.0244574i | \(-0.00778582\pi\) | |||||||
\(858\) | −6592.75 | − | 16056.3i | −0.262323 | − | 0.638875i | ||||
\(859\) | 9534.70 | − | 16514.6i | 0.378719 | − | 0.655961i | −0.612157 | − | 0.790736i | \(-0.709698\pi\) |
0.990876 | + | 0.134775i | \(0.0430313\pi\) | |||||||
\(860\) | 4.22243 | + | 3.65714i | 0.000167423 | + | 0.000145009i | ||||
\(861\) | −3080.41 | + | 22852.6i | −0.121928 | + | 0.904547i | ||||
\(862\) | 4520.50 | − | 2609.91i | 0.178618 | − | 0.103125i | ||||
\(863\) | − | 6256.14i | − | 0.246769i | −0.992359 | − | 0.123384i | \(-0.960625\pi\) | ||
0.992359 | − | 0.123384i | \(-0.0393748\pi\) | |||||||
\(864\) | −3208.78 | − | 4262.94i | −0.126348 | − | 0.167857i | ||||
\(865\) | −5608.35 | + | 29133.1i | −0.220451 | + | 1.14515i | ||||
\(866\) | 5089.97 | + | 8816.09i | 0.199728 | + | 0.345939i | ||||
\(867\) | 18915.2 | + | 2549.66i | 0.740937 | + | 0.0998744i | ||||
\(868\) | 3371.13 | + | 1946.32i | 0.131824 | + | 0.0761089i | ||||
\(869\) | −6411.38 | + | 11104.8i | −0.250277 | + | 0.433493i | ||||
\(870\) | 28919.2 | − | 5845.06i | 1.12696 | − | 0.227777i | ||||
\(871\) | 4976.42 | + | 8619.41i | 0.193593 | + | 0.335313i | ||||
\(872\) | − | 4814.52i | − | 0.186973i | ||||||
\(873\) | 47585.8 | − | 12436.1i | 1.84483 | − | 0.482130i | ||||
\(874\) | 122.394 | 0.00473690 | ||||||||
\(875\) | −21519.8 | − | 1010.99i | −0.831432 | − | 0.0390604i | ||||
\(876\) | −2210.38 | − | 1706.95i | −0.0852532 | − | 0.0658362i | ||||
\(877\) | 6025.33 | + | 3478.73i | 0.231997 | + | 0.133943i | 0.611493 | − | 0.791250i | \(-0.290569\pi\) |
−0.379496 | + | 0.925193i | \(0.623903\pi\) | |||||||
\(878\) | −27578.5 | − | 15922.5i | −1.06006 | − | 0.612024i | ||||
\(879\) | 16986.2 | + | 13117.5i | 0.651797 | + | 0.503346i | ||||
\(880\) | −9217.85 | − | 26614.4i | −0.353106 | − | 1.01951i | ||||
\(881\) | 10626.4 | 0.406371 | 0.203186 | − | 0.979140i | \(-0.434871\pi\) | ||||
0.203186 | + | 0.979140i | \(0.434871\pi\) | |||||||
\(882\) | 2015.06 | − | 7338.76i | 0.0769283 | − | 0.280169i | ||||
\(883\) | − | 31013.5i | − | 1.18198i | −0.806679 | − | 0.590990i | \(-0.798737\pi\) | ||
0.806679 | − | 0.590990i | \(-0.201263\pi\) | |||||||
\(884\) | 1095.84 | + | 1898.06i | 0.0416936 | + | 0.0722155i | ||||
\(885\) | −2222.04 | − | 10993.8i | −0.0843988 | − | 0.417574i | ||||
\(886\) | 12129.3 | − | 21008.6i | 0.459925 | − | 0.796613i | ||||
\(887\) | −8138.36 | − | 4698.69i | −0.308072 | − | 0.177865i | 0.337992 | − | 0.941149i | \(-0.390252\pi\) |
−0.646063 | + | 0.763284i | \(0.723586\pi\) | |||||||
\(888\) | −7045.83 | − | 949.740i | −0.266264 | − | 0.0358910i | ||||
\(889\) | 14039.6 | + | 24317.4i | 0.529667 | + | 0.917410i | ||||
\(890\) | −1874.87 | + | 9739.17i | −0.0706131 | + | 0.366806i | ||||
\(891\) | 401.158 | − | 32481.6i | 0.0150834 | − | 1.22130i | ||||
\(892\) | − | 1281.94i | − | 0.0481195i | ||||||
\(893\) | 25690.2 | − | 14832.2i | 0.962697 | − | 0.555814i | ||||
\(894\) | 289.574 | − | 2148.26i | 0.0108331 | − | 0.0803675i | ||||
\(895\) | 15388.3 | − | 17766.9i | 0.574719 | − | 0.663554i | ||||
\(896\) | 9077.97 | − | 15723.5i | 0.338475 | − | 0.586256i | ||||
\(897\) | −51.0389 | − | 124.303i | −0.00189982 | − | 0.00462693i | ||||
\(898\) | 16987.0 | − | 9807.42i | 0.631250 | − | 0.364452i | ||||
\(899\) | 56799.2 | 2.10718 | ||||||||
\(900\) | 2270.60 | + | 1720.17i | 0.0840962 | + | 0.0637099i | ||||
\(901\) | 13560.0 | 0.501385 | ||||||||
\(902\) | 29718.0 | − | 17157.7i | 1.09701 | − | 0.633357i | ||||
\(903\) | −28.9808 | + | 37.5281i | −0.00106802 | + | 0.00138301i | ||||
\(904\) | 780.903 | − | 1352.56i | 0.0287306 | − | 0.0497628i | ||||
\(905\) | 11692.3 | − | 13499.5i | 0.429463 | − | 0.495845i | ||||
\(906\) | −17757.9 | − | 13713.5i | −0.651178 | − | 0.502869i | ||||
\(907\) | −23868.1 | + | 13780.2i | −0.873788 | + | 0.504482i | −0.868605 | − | 0.495505i | \(-0.834983\pi\) |
−0.00518301 | + | 0.999987i | \(0.501650\pi\) | |||||||
\(908\) | 3574.58i | 0.130646i | ||||||||
\(909\) | 7833.00 | + | 29972.2i | 0.285813 | + | 1.09364i | ||||
\(910\) | −2442.35 | + | 12687.0i | −0.0889705 | + | 0.462165i | ||||
\(911\) | 17935.0 | + | 31064.4i | 0.652266 | + | 1.12976i | 0.982572 | + | 0.185884i | \(0.0595148\pi\) |
−0.330306 | + | 0.943874i | \(0.607152\pi\) | |||||||
\(912\) | 5532.31 | + | 13473.7i | 0.200869 | + | 0.489208i | ||||
\(913\) | −11000.4 | − | 6351.06i | −0.398750 | − | 0.230218i | ||||
\(914\) | 1565.49 | − | 2711.50i | 0.0566539 | − | 0.0981274i | ||||
\(915\) | −31177.4 | − | 10476.3i | −1.12644 | − | 0.378509i | ||||
\(916\) | −2336.50 | − | 4046.94i | −0.0842798 | − | 0.145977i | ||||
\(917\) | 3672.82i | 0.132265i | ||||||||
\(918\) | −4219.63 | − | 34519.0i | −0.151709 | − | 1.24106i | ||||
\(919\) | −3081.79 | −0.110619 | −0.0553095 | − | 0.998469i | \(-0.517615\pi\) | ||||
−0.0553095 | + | 0.998469i | \(0.517615\pi\) | |||||||
\(920\) | −79.8846 | − | 230.648i | −0.00286274 | − | 0.00826549i | ||||
\(921\) | 2347.93 | − | 17418.6i | 0.0840032 | − | 0.623194i | ||||
\(922\) | −34165.8 | − | 19725.6i | −1.22038 | − | 0.704586i | ||||
\(923\) | −7783.11 | − | 4493.58i | −0.277556 | − | 0.160247i | ||||
\(924\) | −2786.80 | + | 1144.26i | −0.0992195 | + | 0.0407396i | ||||
\(925\) | 7155.09 | − | 1031.94i | 0.254333 | − | 0.0366809i | ||||
\(926\) | 5578.86 | 0.197984 | ||||||||
\(927\) | 30026.6 | + | 30399.7i | 1.06387 | + | 1.07709i | ||||
\(928\) | 7220.20i | 0.255404i | ||||||||
\(929\) | −2135.02 | − | 3697.96i | −0.0754011 | − | 0.130599i | 0.825860 | − | 0.563876i | \(-0.190690\pi\) |
−0.901261 | + | 0.433277i | \(0.857357\pi\) | |||||||
\(930\) | −30763.7 | − | 34862.0i | −1.08471 | − | 1.22921i | ||||
\(931\) | 2612.13 | − | 4524.33i | 0.0919538 | − | 0.159269i | ||||
\(932\) | −4632.27 | − | 2674.44i | −0.162806 | − | 0.0939961i | ||||
\(933\) | −19123.0 | + | 24762.9i | −0.671016 | + | 0.868917i | ||||
\(934\) | 13300.1 | + | 23036.4i | 0.465945 | + | 0.807040i | ||||
\(935\) | −8726.57 | + | 45331.0i | −0.305229 | + | 1.58554i | ||||
\(936\) | 12735.6 | − | 12579.2i | 0.444738 | − | 0.439279i | ||||
\(937\) | − | 49225.3i | − | 1.71624i | −0.513446 | − | 0.858122i | \(-0.671631\pi\) | ||
0.513446 | − | 0.858122i | \(-0.328369\pi\) | |||||||
\(938\) | −12683.7 | + | 7322.92i | −0.441510 | + | 0.254906i | ||||
\(939\) | −48994.8 | + | 20117.3i | −1.70275 | + | 0.699152i | ||||
\(940\) | −4267.71 | − | 3696.36i | −0.148082 | − | 0.128258i | ||||
\(941\) | −17284.9 | + | 29938.3i | −0.598800 | + | 1.03715i | 0.394199 | + | 0.919025i | \(0.371022\pi\) |
−0.992999 | + | 0.118127i | \(0.962311\pi\) | |||||||
\(942\) | 13617.1 | + | 1835.52i | 0.470988 | + | 0.0634867i | ||||
\(943\) | 230.067 | − | 132.829i | 0.00794486 | − | 0.00458697i | ||||
\(944\) | −10915.1 | −0.376329 | ||||||||
\(945\) | −13495.7 | + | 20063.1i | −0.464567 | + | 0.690639i | ||||
\(946\) | 70.5610 | 0.00242509 | ||||||||
\(947\) | −23679.2 | + | 13671.2i | −0.812534 | + | 0.469117i | −0.847835 | − | 0.530260i | \(-0.822094\pi\) |
0.0353008 | + | 0.999377i | \(0.488761\pi\) | |||||||
\(948\) | −1250.75 | − | 168.594i | −0.0428506 | − | 0.00577604i | ||||
\(949\) | 8922.37 | − | 15454.0i | 0.305197 | − | 0.528618i | ||||
\(950\) | −10254.2 | − | 13027.6i | −0.350200 | − | 0.444915i | ||||
\(951\) | −25959.2 | + | 10658.9i | −0.885158 | + | 0.363447i | ||||
\(952\) | −29266.2 | + | 16896.9i | −0.996349 | + | 0.575242i | ||||
\(953\) | 45941.5i | 1.56158i | 0.624791 | + | 0.780792i | \(0.285184\pi\) | ||||
−0.624791 | + | 0.780792i | \(0.714816\pi\) | |||||||
\(954\) | −2672.51 | − | 10226.1i | −0.0906979 | − | 0.347047i | ||||
\(955\) | 37409.3 | + | 7201.59i | 1.26758 | + | 0.244019i | ||||
\(956\) | 1073.13 | + | 1858.72i | 0.0363050 | + | 0.0628822i | ||||
\(957\) | −26867.2 | + | 34791.1i | −0.907518 | + | 1.17517i | ||||
\(958\) | 6172.08 | + | 3563.45i | 0.208153 | + | 0.120177i | ||||
\(959\) | −15781.3 | + | 27334.0i | −0.531391 | + | 0.920397i | ||||
\(960\) | 24132.9 | − | 21295.9i | 0.811340 | − | 0.715960i | ||||
\(961\) | −29858.9 | − | 51717.1i | −1.00228 | − | 1.73600i | ||||
\(962\) | − | 4335.40i | − | 0.145300i | ||||||
\(963\) | 2755.14 | − | 10034.1i | 0.0921944 | − | 0.335767i | ||||
\(964\) | 1731.47 | 0.0578494 | ||||||||
\(965\) | −8653.80 | + | 2997.23i | −0.288680 | + | 0.0999835i | ||||
\(966\) | 182.915 | − | 75.1050i | 0.00609232 | − | 0.00250151i | ||||
\(967\) | −40996.6 | − | 23669.4i | −1.36335 | − | 0.787132i | −0.373284 | − | 0.927717i | \(-0.621768\pi\) |
−0.990069 | + | 0.140585i | \(0.955102\pi\) | |||||||
\(968\) | 13411.4 | + | 7743.05i | 0.445307 | + | 0.257098i | ||||
\(969\) | 3189.04 | − | 23658.5i | 0.105724 | − | 0.784334i | ||||
\(970\) | 17830.4 | + | 51481.1i | 0.590205 | + | 1.70408i | ||||
\(971\) | 50168.3 | 1.65806 | 0.829031 | − | 0.559202i | \(-0.188893\pi\) | ||||
0.829031 | + | 0.559202i | \(0.188893\pi\) | |||||||
\(972\) | 2972.36 | − | 1177.77i | 0.0980848 | − | 0.0388652i | ||||
\(973\) | 33595.7i | 1.10691i | ||||||||
\(974\) | −4108.23 | − | 7115.66i | −0.135150 | − | 0.234087i | ||||
\(975\) | −8954.66 | + | 15846.6i | −0.294132 | + | 0.520511i | ||||
\(976\) | −16003.8 | + | 27719.4i | −0.524867 | + | 0.909096i | ||||
\(977\) | 41259.3 | + | 23821.0i | 1.35108 | + | 0.780044i | 0.988400 | − | 0.151872i | \(-0.0485301\pi\) |
0.362675 | + | 0.931916i | \(0.381863\pi\) | |||||||
\(978\) | −15702.2 | − | 38242.0i | −0.513396 | − | 1.25035i | ||||
\(979\) | −7388.35 | − | 12797.0i | −0.241198 | − | 0.417767i | ||||
\(980\) | −976.385 | − | 187.962i | −0.0318260 | − | 0.00612675i | ||||
\(981\) | 5298.45 | + | 1454.84i | 0.172443 | + | 0.0473491i | ||||
\(982\) | − | 43040.7i | − | 1.39866i | ||||||
\(983\) | −9663.22 | + | 5579.06i | −0.313539 | + | 0.181022i | −0.648509 | − | 0.761207i | \(-0.724607\pi\) |
0.334970 | + | 0.942229i | \(0.391274\pi\) | |||||||
\(984\) | 28009.9 | + | 21630.5i | 0.907443 | + | 0.700768i | ||||
\(985\) | −3042.23 | − | 2634.95i | −0.0984097 | − | 0.0852349i | ||||
\(986\) | −23529.5 | + | 40754.3i | −0.759971 | + | 1.31631i | ||||
\(987\) | 29291.7 | − | 37930.6i | 0.944644 | − | 1.22325i | ||||
\(988\) | 1015.61 | − | 586.361i | 0.0327032 | − | 0.0188812i | ||||
\(989\) | 0.546260 | 1.75632e−5 | ||||||||
\(990\) | 35905.8 | − | 2353.15i | 1.15269 | − | 0.0755436i | ||||
\(991\) | −57670.7 | −1.84861 | −0.924304 | − | 0.381658i | \(-0.875353\pi\) | ||||
−0.924304 | + | 0.381658i | \(0.875353\pi\) | |||||||
\(992\) | 9853.79 | − | 5689.09i | 0.315381 | − | 0.182085i | ||||
\(993\) | −4545.11 | − | 11069.4i | −0.145252 | − | 0.353753i | ||||
\(994\) | 6612.41 | − | 11453.0i | 0.210999 | − | 0.365461i | ||||
\(995\) | 9796.25 | − | 11310.5i | 0.312123 | − | 0.360368i | ||||
\(996\) | 167.008 | − | 1238.98i | 0.00531310 | − | 0.0394163i | ||||
\(997\) | 44800.2 | − | 25865.4i | 1.42311 | − | 0.821630i | 0.426543 | − | 0.904467i | \(-0.359731\pi\) |
0.996563 | + | 0.0828370i | \(0.0263981\pi\) | |||||||
\(998\) | 32262.8i | 1.02331i | ||||||||
\(999\) | 3174.29 | − | 7467.04i | 0.100531 | − | 0.236483i |
(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 | 45.4.j.a.4.5 | ✓ | 32 | |
3.2 | odd | 2 | 135.4.j.a.64.12 | 32 | |||
5.2 | odd | 4 | 225.4.e.g.76.5 | 32 | |||
5.3 | odd | 4 | 225.4.e.g.76.12 | 32 | |||
5.4 | even | 2 | inner | 45.4.j.a.4.12 | yes | 32 | |
9.2 | odd | 6 | 135.4.j.a.19.5 | 32 | |||
9.4 | even | 3 | 405.4.b.e.244.5 | 16 | |||
9.5 | odd | 6 | 405.4.b.f.244.12 | 16 | |||
9.7 | even | 3 | inner | 45.4.j.a.34.12 | yes | 32 | |
15.14 | odd | 2 | 135.4.j.a.64.5 | 32 | |||
45.4 | even | 6 | 405.4.b.e.244.12 | 16 | |||
45.7 | odd | 12 | 225.4.e.g.151.5 | 32 | |||
45.13 | odd | 12 | 2025.4.a.bk.1.5 | 16 | |||
45.14 | odd | 6 | 405.4.b.f.244.5 | 16 | |||
45.22 | odd | 12 | 2025.4.a.bk.1.12 | 16 | |||
45.23 | even | 12 | 2025.4.a.bl.1.12 | 16 | |||
45.29 | odd | 6 | 135.4.j.a.19.12 | 32 | |||
45.32 | even | 12 | 2025.4.a.bl.1.5 | 16 | |||
45.34 | even | 6 | inner | 45.4.j.a.34.5 | yes | 32 | |
45.43 | odd | 12 | 225.4.e.g.151.12 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
45.4.j.a.4.5 | ✓ | 32 | 1.1 | even | 1 | trivial | |
45.4.j.a.4.12 | yes | 32 | 5.4 | even | 2 | inner | |
45.4.j.a.34.5 | yes | 32 | 45.34 | even | 6 | inner | |
45.4.j.a.34.12 | yes | 32 | 9.7 | even | 3 | inner | |
135.4.j.a.19.5 | 32 | 9.2 | odd | 6 | |||
135.4.j.a.19.12 | 32 | 45.29 | odd | 6 | |||
135.4.j.a.64.5 | 32 | 15.14 | odd | 2 | |||
135.4.j.a.64.12 | 32 | 3.2 | odd | 2 | |||
225.4.e.g.76.5 | 32 | 5.2 | odd | 4 | |||
225.4.e.g.76.12 | 32 | 5.3 | odd | 4 | |||
225.4.e.g.151.5 | 32 | 45.7 | odd | 12 | |||
225.4.e.g.151.12 | 32 | 45.43 | odd | 12 | |||
405.4.b.e.244.5 | 16 | 9.4 | even | 3 | |||
405.4.b.e.244.12 | 16 | 45.4 | even | 6 | |||
405.4.b.f.244.5 | 16 | 45.14 | odd | 6 | |||
405.4.b.f.244.12 | 16 | 9.5 | odd | 6 | |||
2025.4.a.bk.1.5 | 16 | 45.13 | odd | 12 | |||
2025.4.a.bk.1.12 | 16 | 45.22 | odd | 12 | |||
2025.4.a.bl.1.5 | 16 | 45.32 | even | 12 | |||
2025.4.a.bl.1.12 | 16 | 45.23 | even | 12 |