Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(259,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.259");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 38x^{14} + 525x^{12} + 3518x^{10} + 12216x^{8} + 20990x^{6} + 15229x^{4} + 4754x^{2} + 529 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 259.10 | ||
Root | \(-1.99373i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 430.259 |
Dual form | 430.2.b.b.259.7 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000i | 0.707107i | ||||||||
\(3\) | − | 2.99373i | − | 1.72843i | −0.503124 | − | 0.864214i | \(-0.667816\pi\) | ||
0.503124 | − | 0.864214i | \(-0.332184\pi\) | |||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 0.260869 | + | 2.22080i | 0.116664 | + | 0.993171i | ||||
\(6\) | 2.99373 | 1.22218 | ||||||||
\(7\) | 4.62603i | 1.74847i | 0.485500 | + | 0.874237i | \(0.338638\pi\) | ||||
−0.485500 | + | 0.874237i | \(0.661362\pi\) | |||||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −5.96240 | −1.98747 | ||||||||
\(10\) | −2.22080 | + | 0.260869i | −0.702278 | + | 0.0824939i | ||||
\(11\) | −3.48854 | −1.05183 | −0.525917 | − | 0.850536i | \(-0.676278\pi\) | ||||
−0.525917 | + | 0.850536i | \(0.676278\pi\) | |||||||
\(12\) | 2.99373i | 0.864214i | ||||||||
\(13\) | 4.77797i | 1.32517i | 0.748986 | + | 0.662585i | \(0.230541\pi\) | ||||
−0.748986 | + | 0.662585i | \(0.769459\pi\) | |||||||
\(14\) | −4.62603 | −1.23636 | ||||||||
\(15\) | 6.64846 | − | 0.780970i | 1.71663 | − | 0.201645i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 2.65039i | 0.642813i | 0.946941 | + | 0.321407i | \(0.104156\pi\) | ||||
−0.946941 | + | 0.321407i | \(0.895844\pi\) | |||||||
\(18\) | − | 5.96240i | − | 1.40535i | ||||||
\(19\) | 2.10429 | 0.482757 | 0.241378 | − | 0.970431i | \(-0.422400\pi\) | ||||
0.241378 | + | 0.970431i | \(0.422400\pi\) | |||||||
\(20\) | −0.260869 | − | 2.22080i | −0.0583320 | − | 0.496586i | ||||
\(21\) | 13.8491 | 3.02211 | ||||||||
\(22\) | − | 3.48854i | − | 0.743758i | ||||||
\(23\) | − | 4.96680i | − | 1.03565i | −0.855487 | − | 0.517825i | \(-0.826742\pi\) | ||
0.855487 | − | 0.517825i | \(-0.173258\pi\) | |||||||
\(24\) | −2.99373 | −0.611092 | ||||||||
\(25\) | −4.86390 | + | 1.15867i | −0.972779 | + | 0.231735i | ||||
\(26\) | −4.77797 | −0.937037 | ||||||||
\(27\) | 8.86861i | 1.70677i | ||||||||
\(28\) | − | 4.62603i | − | 0.874237i | ||||||
\(29\) | 10.1703 | 1.88857 | 0.944287 | − | 0.329123i | \(-0.106753\pi\) | ||||
0.944287 | + | 0.329123i | \(0.106753\pi\) | |||||||
\(30\) | 0.780970 | + | 6.64846i | 0.142585 | + | 1.21384i | ||||
\(31\) | −3.61975 | −0.650127 | −0.325063 | − | 0.945692i | \(-0.605386\pi\) | ||||
−0.325063 | + | 0.945692i | \(0.605386\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 10.4437i | 1.81802i | ||||||||
\(34\) | −2.65039 | −0.454538 | ||||||||
\(35\) | −10.2735 | + | 1.20679i | −1.73653 | + | 0.203984i | ||||
\(36\) | 5.96240 | 0.993733 | ||||||||
\(37\) | 5.36680i | 0.882296i | 0.897434 | + | 0.441148i | \(0.145429\pi\) | ||||
−0.897434 | + | 0.441148i | \(0.854571\pi\) | |||||||
\(38\) | 2.10429i | 0.341361i | ||||||||
\(39\) | 14.3039 | 2.29046 | ||||||||
\(40\) | 2.22080 | − | 0.260869i | 0.351139 | − | 0.0412470i | ||||
\(41\) | −0.557498 | −0.0870665 | −0.0435332 | − | 0.999052i | \(-0.513861\pi\) | ||||
−0.0435332 | + | 0.999052i | \(0.513861\pi\) | |||||||
\(42\) | 13.8491i | 2.13696i | ||||||||
\(43\) | − | 1.00000i | − | 0.152499i | ||||||
\(44\) | 3.48854 | 0.525917 | ||||||||
\(45\) | −1.55540 | − | 13.2413i | −0.231866 | − | 1.97389i | ||||
\(46\) | 4.96680 | 0.732315 | ||||||||
\(47\) | 3.17119i | 0.462565i | 0.972887 | + | 0.231283i | \(0.0742922\pi\) | ||||
−0.972887 | + | 0.231283i | \(0.925708\pi\) | |||||||
\(48\) | − | 2.99373i | − | 0.432107i | ||||||
\(49\) | −14.4001 | −2.05716 | ||||||||
\(50\) | −1.15867 | − | 4.86390i | −0.163861 | − | 0.687859i | ||||
\(51\) | 7.93453 | 1.11106 | ||||||||
\(52\) | − | 4.77797i | − | 0.662585i | ||||||
\(53\) | 2.74193i | 0.376633i | 0.982108 | + | 0.188316i | \(0.0603030\pi\) | ||||
−0.982108 | + | 0.188316i | \(0.939697\pi\) | |||||||
\(54\) | −8.86861 | −1.20687 | ||||||||
\(55\) | −0.910050 | − | 7.74734i | −0.122711 | − | 1.04465i | ||||
\(56\) | 4.62603 | 0.618179 | ||||||||
\(57\) | − | 6.29967i | − | 0.834411i | ||||||
\(58\) | 10.1703i | 1.33542i | ||||||||
\(59\) | 7.03093 | 0.915349 | 0.457674 | − | 0.889120i | \(-0.348683\pi\) | ||||
0.457674 | + | 0.889120i | \(0.348683\pi\) | |||||||
\(60\) | −6.64846 | + | 0.780970i | −0.858313 | + | 0.100823i | ||||
\(61\) | −9.73316 | −1.24620 | −0.623102 | − | 0.782141i | \(-0.714128\pi\) | ||||
−0.623102 | + | 0.782141i | \(0.714128\pi\) | |||||||
\(62\) | − | 3.61975i | − | 0.459709i | ||||||
\(63\) | − | 27.5822i | − | 3.47503i | ||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −10.6109 | + | 1.24642i | −1.31612 | + | 0.154600i | ||||
\(66\) | −10.4437 | −1.28553 | ||||||||
\(67\) | − | 7.69046i | − | 0.939539i | −0.882789 | − | 0.469770i | \(-0.844337\pi\) | ||
0.882789 | − | 0.469770i | \(-0.155663\pi\) | |||||||
\(68\) | − | 2.65039i | − | 0.321407i | ||||||
\(69\) | −14.8692 | −1.79005 | ||||||||
\(70\) | −1.20679 | − | 10.2735i | −0.144238 | − | 1.22792i | ||||
\(71\) | 6.01121 | 0.713399 | 0.356700 | − | 0.934219i | \(-0.383902\pi\) | ||||
0.356700 | + | 0.934219i | \(0.383902\pi\) | |||||||
\(72\) | 5.96240i | 0.702676i | ||||||||
\(73\) | − | 8.26651i | − | 0.967521i | −0.875200 | − | 0.483761i | \(-0.839270\pi\) | ||
0.875200 | − | 0.483761i | \(-0.160730\pi\) | |||||||
\(74\) | −5.36680 | −0.623877 | ||||||||
\(75\) | 3.46875 | + | 14.5612i | 0.400537 | + | 1.68138i | ||||
\(76\) | −2.10429 | −0.241378 | ||||||||
\(77\) | − | 16.1381i | − | 1.83910i | ||||||
\(78\) | 14.3039i | 1.61960i | ||||||||
\(79\) | 7.97824 | 0.897622 | 0.448811 | − | 0.893627i | \(-0.351848\pi\) | ||||
0.448811 | + | 0.893627i | \(0.351848\pi\) | |||||||
\(80\) | 0.260869 | + | 2.22080i | 0.0291660 | + | 0.248293i | ||||
\(81\) | 8.66301 | 0.962557 | ||||||||
\(82\) | − | 0.557498i | − | 0.0615653i | ||||||
\(83\) | − | 3.32959i | − | 0.365470i | −0.983162 | − | 0.182735i | \(-0.941505\pi\) | ||
0.983162 | − | 0.182735i | \(-0.0584951\pi\) | |||||||
\(84\) | −13.8491 | −1.51106 | ||||||||
\(85\) | −5.88598 | + | 0.691403i | −0.638424 | + | 0.0749932i | ||||
\(86\) | 1.00000 | 0.107833 | ||||||||
\(87\) | − | 30.4470i | − | 3.26427i | ||||||
\(88\) | 3.48854i | 0.371879i | ||||||||
\(89\) | 15.8770 | 1.68296 | 0.841480 | − | 0.540288i | \(-0.181685\pi\) | ||||
0.841480 | + | 0.540288i | \(0.181685\pi\) | |||||||
\(90\) | 13.2413 | − | 1.55540i | 1.39575 | − | 0.163954i | ||||
\(91\) | −22.1030 | −2.31703 | ||||||||
\(92\) | 4.96680i | 0.517825i | ||||||||
\(93\) | 10.8366i | 1.12370i | ||||||||
\(94\) | −3.17119 | −0.327083 | ||||||||
\(95\) | 0.548943 | + | 4.67320i | 0.0563204 | + | 0.479460i | ||||
\(96\) | 2.99373 | 0.305546 | ||||||||
\(97\) | 11.0593i | 1.12291i | 0.827508 | + | 0.561453i | \(0.189758\pi\) | ||||
−0.827508 | + | 0.561453i | \(0.810242\pi\) | |||||||
\(98\) | − | 14.4001i | − | 1.45463i | ||||||
\(99\) | 20.8000 | 2.09048 | ||||||||
\(100\) | 4.86390 | − | 1.15867i | 0.486390 | − | 0.115867i | ||||
\(101\) | 0.530536 | 0.0527903 | 0.0263952 | − | 0.999652i | \(-0.491597\pi\) | ||||
0.0263952 | + | 0.999652i | \(0.491597\pi\) | |||||||
\(102\) | 7.93453i | 0.785636i | ||||||||
\(103\) | 9.08431i | 0.895104i | 0.894258 | + | 0.447552i | \(0.147704\pi\) | ||||
−0.894258 | + | 0.447552i | \(0.852296\pi\) | |||||||
\(104\) | 4.77797 | 0.468519 | ||||||||
\(105\) | 3.61279 | + | 30.7560i | 0.352572 | + | 3.00148i | ||||
\(106\) | −2.74193 | −0.266319 | ||||||||
\(107\) | 9.47586i | 0.916066i | 0.888935 | + | 0.458033i | \(0.151446\pi\) | ||||
−0.888935 | + | 0.458033i | \(0.848554\pi\) | |||||||
\(108\) | − | 8.86861i | − | 0.853383i | ||||||
\(109\) | −5.58242 | −0.534699 | −0.267350 | − | 0.963600i | \(-0.586148\pi\) | ||||
−0.267350 | + | 0.963600i | \(0.586148\pi\) | |||||||
\(110\) | 7.74734 | − | 0.910050i | 0.738680 | − | 0.0867699i | ||||
\(111\) | 16.0667 | 1.52499 | ||||||||
\(112\) | 4.62603i | 0.437118i | ||||||||
\(113\) | 6.79611i | 0.639324i | 0.947532 | + | 0.319662i | \(0.103569\pi\) | ||||
−0.947532 | + | 0.319662i | \(0.896431\pi\) | |||||||
\(114\) | 6.29967 | 0.590018 | ||||||||
\(115\) | 11.0303 | − | 1.29568i | 1.02858 | − | 0.120823i | ||||
\(116\) | −10.1703 | −0.944287 | ||||||||
\(117\) | − | 28.4882i | − | 2.63373i | ||||||
\(118\) | 7.03093i | 0.647249i | ||||||||
\(119\) | −12.2608 | −1.12394 | ||||||||
\(120\) | −0.780970 | − | 6.64846i | −0.0712924 | − | 0.606919i | ||||
\(121\) | 1.16989 | 0.106353 | ||||||||
\(122\) | − | 9.73316i | − | 0.881199i | ||||||
\(123\) | 1.66900i | 0.150488i | ||||||||
\(124\) | 3.61975 | 0.325063 | ||||||||
\(125\) | −3.84202 | − | 10.4995i | −0.343641 | − | 0.939101i | ||||
\(126\) | 27.5822 | 2.45722 | ||||||||
\(127\) | − | 7.52237i | − | 0.667503i | −0.942661 | − | 0.333751i | \(-0.891685\pi\) | ||
0.942661 | − | 0.333751i | \(-0.108315\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | −2.99373 | −0.263583 | ||||||||
\(130\) | −1.24642 | − | 10.6109i | −0.109319 | − | 0.930639i | ||||
\(131\) | 12.0252 | 1.05065 | 0.525325 | − | 0.850902i | \(-0.323944\pi\) | ||||
0.525325 | + | 0.850902i | \(0.323944\pi\) | |||||||
\(132\) | − | 10.4437i | − | 0.909010i | ||||||
\(133\) | 9.73450i | 0.844088i | ||||||||
\(134\) | 7.69046 | 0.664354 | ||||||||
\(135\) | −19.6954 | + | 2.31354i | −1.69511 | + | 0.199118i | ||||
\(136\) | 2.65039 | 0.227269 | ||||||||
\(137\) | − | 14.3770i | − | 1.22831i | −0.789186 | − | 0.614155i | \(-0.789497\pi\) | ||
0.789186 | − | 0.614155i | \(-0.210503\pi\) | |||||||
\(138\) | − | 14.8692i | − | 1.26575i | ||||||
\(139\) | −18.1019 | −1.53538 | −0.767691 | − | 0.640820i | \(-0.778594\pi\) | ||||
−0.767691 | + | 0.640820i | \(0.778594\pi\) | |||||||
\(140\) | 10.2735 | − | 1.20679i | 0.868267 | − | 0.101992i | ||||
\(141\) | 9.49367 | 0.799511 | ||||||||
\(142\) | 6.01121i | 0.504449i | ||||||||
\(143\) | − | 16.6681i | − | 1.39386i | ||||||
\(144\) | −5.96240 | −0.496867 | ||||||||
\(145\) | 2.65311 | + | 22.5862i | 0.220329 | + | 1.87568i | ||||
\(146\) | 8.26651 | 0.684141 | ||||||||
\(147\) | 43.1100i | 3.55565i | ||||||||
\(148\) | − | 5.36680i | − | 0.441148i | ||||||
\(149\) | −14.8545 | −1.21693 | −0.608464 | − | 0.793581i | \(-0.708214\pi\) | ||||
−0.608464 | + | 0.793581i | \(0.708214\pi\) | |||||||
\(150\) | −14.5612 | + | 3.46875i | −1.18891 | + | 0.283222i | ||||
\(151\) | 14.7035 | 1.19655 | 0.598276 | − | 0.801290i | \(-0.295853\pi\) | ||||
0.598276 | + | 0.801290i | \(0.295853\pi\) | |||||||
\(152\) | − | 2.10429i | − | 0.170680i | ||||||
\(153\) | − | 15.8027i | − | 1.27757i | ||||||
\(154\) | 16.1381 | 1.30044 | ||||||||
\(155\) | −0.944280 | − | 8.03874i | −0.0758464 | − | 0.645687i | ||||
\(156\) | −14.3039 | −1.14523 | ||||||||
\(157\) | 17.9265i | 1.43069i | 0.698773 | + | 0.715343i | \(0.253730\pi\) | ||||
−0.698773 | + | 0.715343i | \(0.746270\pi\) | |||||||
\(158\) | 7.97824i | 0.634715i | ||||||||
\(159\) | 8.20858 | 0.650983 | ||||||||
\(160\) | −2.22080 | + | 0.260869i | −0.175570 | + | 0.0206235i | ||||
\(161\) | 22.9765 | 1.81081 | ||||||||
\(162\) | 8.66301i | 0.680630i | ||||||||
\(163\) | 12.5006i | 0.979120i | 0.871970 | + | 0.489560i | \(0.162843\pi\) | ||||
−0.871970 | + | 0.489560i | \(0.837157\pi\) | |||||||
\(164\) | 0.557498 | 0.0435332 | ||||||||
\(165\) | −23.1934 | + | 2.72444i | −1.80560 | + | 0.212097i | ||||
\(166\) | 3.32959 | 0.258427 | ||||||||
\(167\) | − | 22.1166i | − | 1.71144i | −0.517442 | − | 0.855718i | \(-0.673116\pi\) | ||
0.517442 | − | 0.855718i | \(-0.326884\pi\) | |||||||
\(168\) | − | 13.8491i | − | 1.06848i | ||||||
\(169\) | −9.82901 | −0.756077 | ||||||||
\(170\) | −0.691403 | − | 5.88598i | −0.0530282 | − | 0.451434i | ||||
\(171\) | −12.5466 | −0.959463 | ||||||||
\(172\) | 1.00000i | 0.0762493i | ||||||||
\(173\) | 4.53486i | 0.344779i | 0.985029 | + | 0.172390i | \(0.0551488\pi\) | ||||
−0.985029 | + | 0.172390i | \(0.944851\pi\) | |||||||
\(174\) | 30.4470 | 2.30818 | ||||||||
\(175\) | −5.36006 | − | 22.5005i | −0.405182 | − | 1.70088i | ||||
\(176\) | −3.48854 | −0.262958 | ||||||||
\(177\) | − | 21.0487i | − | 1.58212i | ||||||
\(178\) | 15.8770i | 1.19003i | ||||||||
\(179\) | 15.9501 | 1.19216 | 0.596082 | − | 0.802923i | \(-0.296723\pi\) | ||||
0.596082 | + | 0.802923i | \(0.296723\pi\) | |||||||
\(180\) | 1.55540 | + | 13.2413i | 0.115933 | + | 0.986947i | ||||
\(181\) | 26.2357 | 1.95008 | 0.975041 | − | 0.222026i | \(-0.0712669\pi\) | ||||
0.975041 | + | 0.222026i | \(0.0712669\pi\) | |||||||
\(182\) | − | 22.1030i | − | 1.63838i | ||||||
\(183\) | 29.1384i | 2.15397i | ||||||||
\(184\) | −4.96680 | −0.366157 | ||||||||
\(185\) | −11.9186 | + | 1.40003i | −0.876271 | + | 0.102932i | ||||
\(186\) | −10.8366 | −0.794574 | ||||||||
\(187\) | − | 9.24597i | − | 0.676132i | ||||||
\(188\) | − | 3.17119i | − | 0.231283i | ||||||
\(189\) | −41.0264 | −2.98423 | ||||||||
\(190\) | −4.67320 | + | 0.548943i | −0.339030 | + | 0.0398245i | ||||
\(191\) | −8.68534 | −0.628449 | −0.314225 | − | 0.949349i | \(-0.601745\pi\) | ||||
−0.314225 | + | 0.949349i | \(0.601745\pi\) | |||||||
\(192\) | 2.99373i | 0.216054i | ||||||||
\(193\) | − | 14.3676i | − | 1.03420i | −0.855925 | − | 0.517101i | \(-0.827011\pi\) | ||
0.855925 | − | 0.517101i | \(-0.172989\pi\) | |||||||
\(194\) | −11.0593 | −0.794015 | ||||||||
\(195\) | 3.73145 | + | 31.7662i | 0.267215 | + | 2.27482i | ||||
\(196\) | 14.4001 | 1.02858 | ||||||||
\(197\) | 6.19264i | 0.441208i | 0.975364 | + | 0.220604i | \(0.0708028\pi\) | ||||
−0.975364 | + | 0.220604i | \(0.929197\pi\) | |||||||
\(198\) | 20.8000i | 1.47819i | ||||||||
\(199\) | −0.211786 | −0.0150131 | −0.00750657 | − | 0.999972i | \(-0.502389\pi\) | ||||
−0.00750657 | + | 0.999972i | \(0.502389\pi\) | |||||||
\(200\) | 1.15867 | + | 4.86390i | 0.0819306 | + | 0.343929i | ||||
\(201\) | −23.0231 | −1.62393 | ||||||||
\(202\) | 0.530536i | 0.0373284i | ||||||||
\(203\) | 47.0480i | 3.30212i | ||||||||
\(204\) | −7.93453 | −0.555528 | ||||||||
\(205\) | −0.145434 | − | 1.23809i | −0.0101575 | − | 0.0864720i | ||||
\(206\) | −9.08431 | −0.632934 | ||||||||
\(207\) | 29.6140i | 2.05832i | ||||||||
\(208\) | 4.77797i | 0.331293i | ||||||||
\(209\) | −7.34089 | −0.507780 | ||||||||
\(210\) | −30.7560 | + | 3.61279i | −2.12236 | + | 0.249306i | ||||
\(211\) | 3.04207 | 0.209425 | 0.104712 | − | 0.994503i | \(-0.466608\pi\) | ||||
0.104712 | + | 0.994503i | \(0.466608\pi\) | |||||||
\(212\) | − | 2.74193i | − | 0.188316i | ||||||
\(213\) | − | 17.9959i | − | 1.23306i | ||||||
\(214\) | −9.47586 | −0.647756 | ||||||||
\(215\) | 2.22080 | − | 0.260869i | 0.151457 | − | 0.0177911i | ||||
\(216\) | 8.86861 | 0.603433 | ||||||||
\(217\) | − | 16.7451i | − | 1.13673i | ||||||
\(218\) | − | 5.58242i | − | 0.378089i | ||||||
\(219\) | −24.7477 | −1.67229 | ||||||||
\(220\) | 0.910050 | + | 7.74734i | 0.0613556 | + | 0.522325i | ||||
\(221\) | −12.6635 | −0.851837 | ||||||||
\(222\) | 16.0667i | 1.07833i | ||||||||
\(223\) | 2.70190i | 0.180933i | 0.995900 | + | 0.0904665i | \(0.0288358\pi\) | ||||
−0.995900 | + | 0.0904665i | \(0.971164\pi\) | |||||||
\(224\) | −4.62603 | −0.309089 | ||||||||
\(225\) | 29.0005 | − | 6.90848i | 1.93337 | − | 0.460565i | ||||
\(226\) | −6.79611 | −0.452070 | ||||||||
\(227\) | 4.81420i | 0.319530i | 0.987155 | + | 0.159765i | \(0.0510736\pi\) | ||||
−0.987155 | + | 0.159765i | \(0.948926\pi\) | |||||||
\(228\) | 6.29967i | 0.417206i | ||||||||
\(229\) | 9.80736 | 0.648089 | 0.324044 | − | 0.946042i | \(-0.394957\pi\) | ||||
0.324044 | + | 0.946042i | \(0.394957\pi\) | |||||||
\(230\) | 1.29568 | + | 11.0303i | 0.0854348 | + | 0.727314i | ||||
\(231\) | −48.3129 | −3.17876 | ||||||||
\(232\) | − | 10.1703i | − | 0.667712i | ||||||
\(233\) | − | 22.4499i | − | 1.47074i | −0.677666 | − | 0.735369i | \(-0.737009\pi\) | ||
0.677666 | − | 0.735369i | \(-0.262991\pi\) | |||||||
\(234\) | 28.4882 | 1.86233 | ||||||||
\(235\) | −7.04257 | + | 0.827264i | −0.459407 | + | 0.0539647i | ||||
\(236\) | −7.03093 | −0.457674 | ||||||||
\(237\) | − | 23.8847i | − | 1.55148i | ||||||
\(238\) | − | 12.2608i | − | 0.794747i | ||||||
\(239\) | 14.1375 | 0.914481 | 0.457241 | − | 0.889343i | \(-0.348838\pi\) | ||||
0.457241 | + | 0.889343i | \(0.348838\pi\) | |||||||
\(240\) | 6.64846 | − | 0.780970i | 0.429157 | − | 0.0504114i | ||||
\(241\) | 21.9544 | 1.41421 | 0.707104 | − | 0.707110i | \(-0.250001\pi\) | ||||
0.707104 | + | 0.707110i | \(0.250001\pi\) | |||||||
\(242\) | 1.16989i | 0.0752031i | ||||||||
\(243\) | 0.671161i | 0.0430550i | ||||||||
\(244\) | 9.73316 | 0.623102 | ||||||||
\(245\) | −3.75654 | − | 31.9798i | −0.239997 | − | 2.04311i | ||||
\(246\) | −1.66900 | −0.106411 | ||||||||
\(247\) | 10.0542i | 0.639735i | ||||||||
\(248\) | 3.61975i | 0.229855i | ||||||||
\(249\) | −9.96789 | −0.631690 | ||||||||
\(250\) | 10.4995 | − | 3.84202i | 0.664045 | − | 0.242991i | ||||
\(251\) | −6.04703 | −0.381685 | −0.190843 | − | 0.981621i | \(-0.561122\pi\) | ||||
−0.190843 | + | 0.981621i | \(0.561122\pi\) | |||||||
\(252\) | 27.5822i | 1.73752i | ||||||||
\(253\) | 17.3269i | 1.08933i | ||||||||
\(254\) | 7.52237 | 0.471996 | ||||||||
\(255\) | 2.06987 | + | 17.6210i | 0.129620 | + | 1.10347i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 2.09214i | 0.130504i | 0.997869 | + | 0.0652522i | \(0.0207852\pi\) | ||||
−0.997869 | + | 0.0652522i | \(0.979215\pi\) | |||||||
\(258\) | − | 2.99373i | − | 0.186381i | ||||||
\(259\) | −24.8269 | −1.54267 | ||||||||
\(260\) | 10.6109 | − | 1.24642i | 0.658061 | − | 0.0772999i | ||||
\(261\) | −60.6393 | −3.75348 | ||||||||
\(262\) | 12.0252i | 0.742921i | ||||||||
\(263\) | 2.57171i | 0.158578i | 0.996852 | + | 0.0792891i | \(0.0252650\pi\) | ||||
−0.996852 | + | 0.0792891i | \(0.974735\pi\) | |||||||
\(264\) | 10.4437 | 0.642767 | ||||||||
\(265\) | −6.08927 | + | 0.715283i | −0.374061 | + | 0.0439395i | ||||
\(266\) | −9.73450 | −0.596860 | ||||||||
\(267\) | − | 47.5314i | − | 2.90888i | ||||||
\(268\) | 7.69046i | 0.469770i | ||||||||
\(269\) | 17.4914 | 1.06647 | 0.533235 | − | 0.845967i | \(-0.320976\pi\) | ||||
0.533235 | + | 0.845967i | \(0.320976\pi\) | |||||||
\(270\) | −2.31354 | − | 19.6954i | −0.140798 | − | 1.19862i | ||||
\(271\) | 32.7476 | 1.98928 | 0.994638 | − | 0.103421i | \(-0.0329790\pi\) | ||||
0.994638 | + | 0.103421i | \(0.0329790\pi\) | |||||||
\(272\) | 2.65039i | 0.160703i | ||||||||
\(273\) | 66.1704i | 4.00481i | ||||||||
\(274\) | 14.3770 | 0.868546 | ||||||||
\(275\) | 16.9679 | − | 4.04208i | 1.02320 | − | 0.243746i | ||||
\(276\) | 14.8692 | 0.895023 | ||||||||
\(277\) | 13.0999i | 0.787098i | 0.919304 | + | 0.393549i | \(0.128753\pi\) | ||||
−0.919304 | + | 0.393549i | \(0.871247\pi\) | |||||||
\(278\) | − | 18.1019i | − | 1.08568i | ||||||
\(279\) | 21.5824 | 1.29211 | ||||||||
\(280\) | 1.20679 | + | 10.2735i | 0.0721192 | + | 0.613958i | ||||
\(281\) | 16.7089 | 0.996772 | 0.498386 | − | 0.866955i | \(-0.333926\pi\) | ||||
0.498386 | + | 0.866955i | \(0.333926\pi\) | |||||||
\(282\) | 9.49367i | 0.565340i | ||||||||
\(283\) | 6.89032i | 0.409587i | 0.978805 | + | 0.204794i | \(0.0656523\pi\) | ||||
−0.978805 | + | 0.204794i | \(0.934348\pi\) | |||||||
\(284\) | −6.01121 | −0.356700 | ||||||||
\(285\) | 13.9903 | − | 1.64339i | 0.828713 | − | 0.0973458i | ||||
\(286\) | 16.6681 | 0.985607 | ||||||||
\(287\) | − | 2.57900i | − | 0.152233i | ||||||
\(288\) | − | 5.96240i | − | 0.351338i | ||||||
\(289\) | 9.97545 | 0.586791 | ||||||||
\(290\) | −22.5862 | + | 2.65311i | −1.32630 | + | 0.155796i | ||||
\(291\) | 33.1087 | 1.94086 | ||||||||
\(292\) | 8.26651i | 0.483761i | ||||||||
\(293\) | 28.8728i | 1.68677i | 0.537310 | + | 0.843385i | \(0.319441\pi\) | ||||
−0.537310 | + | 0.843385i | \(0.680559\pi\) | |||||||
\(294\) | −43.1100 | −2.51423 | ||||||||
\(295\) | 1.83415 | + | 15.6143i | 0.106788 | + | 0.909098i | ||||
\(296\) | 5.36680 | 0.311939 | ||||||||
\(297\) | − | 30.9385i | − | 1.79523i | ||||||
\(298\) | − | 14.8545i | − | 0.860498i | ||||||
\(299\) | 23.7312 | 1.37241 | ||||||||
\(300\) | −3.46875 | − | 14.5612i | −0.200269 | − | 0.840690i | ||||
\(301\) | 4.62603 | 0.266640 | ||||||||
\(302\) | 14.7035i | 0.846090i | ||||||||
\(303\) | − | 1.58828i | − | 0.0912443i | ||||||
\(304\) | 2.10429 | 0.120689 | ||||||||
\(305\) | −2.53908 | − | 21.6154i | −0.145387 | − | 1.23769i | ||||
\(306\) | 15.8027 | 0.903378 | ||||||||
\(307\) | − | 18.0013i | − | 1.02739i | −0.857973 | − | 0.513695i | \(-0.828276\pi\) | ||
0.857973 | − | 0.513695i | \(-0.171724\pi\) | |||||||
\(308\) | 16.1381i | 0.919551i | ||||||||
\(309\) | 27.1959 | 1.54712 | ||||||||
\(310\) | 8.03874 | − | 0.944280i | 0.456570 | − | 0.0536315i | ||||
\(311\) | −31.8831 | −1.80792 | −0.903962 | − | 0.427613i | \(-0.859355\pi\) | ||||
−0.903962 | + | 0.427613i | \(0.859355\pi\) | |||||||
\(312\) | − | 14.3039i | − | 0.809801i | ||||||
\(313\) | − | 10.9625i | − | 0.619635i | −0.950796 | − | 0.309818i | \(-0.899732\pi\) | ||
0.950796 | − | 0.309818i | \(-0.100268\pi\) | |||||||
\(314\) | −17.9265 | −1.01165 | ||||||||
\(315\) | 61.2546 | − | 7.19534i | 3.45130 | − | 0.405411i | ||||
\(316\) | −7.97824 | −0.448811 | ||||||||
\(317\) | − | 13.6282i | − | 0.765436i | −0.923865 | − | 0.382718i | \(-0.874988\pi\) | ||
0.923865 | − | 0.382718i | \(-0.125012\pi\) | |||||||
\(318\) | 8.20858i | 0.460314i | ||||||||
\(319\) | −35.4794 | −1.98647 | ||||||||
\(320\) | −0.260869 | − | 2.22080i | −0.0145830 | − | 0.124146i | ||||
\(321\) | 28.3681 | 1.58335 | ||||||||
\(322\) | 22.9765i | 1.28043i | ||||||||
\(323\) | 5.57718i | 0.310323i | ||||||||
\(324\) | −8.66301 | −0.481278 | ||||||||
\(325\) | −5.53611 | − | 23.2395i | −0.307088 | − | 1.28910i | ||||
\(326\) | −12.5006 | −0.692343 | ||||||||
\(327\) | 16.7122i | 0.924189i | ||||||||
\(328\) | 0.557498i | 0.0307827i | ||||||||
\(329\) | −14.6700 | −0.808783 | ||||||||
\(330\) | −2.72444 | − | 23.1934i | −0.149976 | − | 1.27676i | ||||
\(331\) | −8.55144 | −0.470029 | −0.235015 | − | 0.971992i | \(-0.575514\pi\) | ||||
−0.235015 | + | 0.971992i | \(0.575514\pi\) | |||||||
\(332\) | 3.32959i | 0.182735i | ||||||||
\(333\) | − | 31.9990i | − | 1.75353i | ||||||
\(334\) | 22.1166 | 1.21017 | ||||||||
\(335\) | 17.0790 | − | 2.00620i | 0.933123 | − | 0.109610i | ||||
\(336\) | 13.8491 | 0.755528 | ||||||||
\(337\) | 29.4041i | 1.60175i | 0.598835 | + | 0.800873i | \(0.295631\pi\) | ||||
−0.598835 | + | 0.800873i | \(0.704369\pi\) | |||||||
\(338\) | − | 9.82901i | − | 0.534627i | ||||||
\(339\) | 20.3457 | 1.10503 | ||||||||
\(340\) | 5.88598 | − | 0.691403i | 0.319212 | − | 0.0374966i | ||||
\(341\) | 12.6276 | 0.683825 | ||||||||
\(342\) | − | 12.5466i | − | 0.678443i | ||||||
\(343\) | − | 34.2331i | − | 1.84842i | ||||||
\(344\) | −1.00000 | −0.0539164 | ||||||||
\(345\) | −3.87892 | − | 33.0216i | −0.208834 | − | 1.77782i | ||||
\(346\) | −4.53486 | −0.243796 | ||||||||
\(347\) | − | 9.69759i | − | 0.520594i | −0.965529 | − | 0.260297i | \(-0.916179\pi\) | ||
0.965529 | − | 0.260297i | \(-0.0838205\pi\) | |||||||
\(348\) | 30.4470i | 1.63213i | ||||||||
\(349\) | −9.38543 | −0.502391 | −0.251195 | − | 0.967936i | \(-0.580824\pi\) | ||||
−0.251195 | + | 0.967936i | \(0.580824\pi\) | |||||||
\(350\) | 22.5005 | − | 5.36006i | 1.20270 | − | 0.286507i | ||||
\(351\) | −42.3740 | −2.26176 | ||||||||
\(352\) | − | 3.48854i | − | 0.185940i | ||||||
\(353\) | − | 20.8583i | − | 1.11018i | −0.831792 | − | 0.555088i | \(-0.812685\pi\) | ||
0.831792 | − | 0.555088i | \(-0.187315\pi\) | |||||||
\(354\) | 21.0487 | 1.11872 | ||||||||
\(355\) | 1.56814 | + | 13.3497i | 0.0832280 | + | 0.708528i | ||||
\(356\) | −15.8770 | −0.841480 | ||||||||
\(357\) | 36.7054i | 1.94265i | ||||||||
\(358\) | 15.9501i | 0.842987i | ||||||||
\(359\) | 13.6002 | 0.717789 | 0.358894 | − | 0.933378i | \(-0.383154\pi\) | ||||
0.358894 | + | 0.933378i | \(0.383154\pi\) | |||||||
\(360\) | −13.2413 | + | 1.55540i | −0.697877 | + | 0.0819770i | ||||
\(361\) | −14.5720 | −0.766946 | ||||||||
\(362\) | 26.2357i | 1.37892i | ||||||||
\(363\) | − | 3.50232i | − | 0.183824i | ||||||
\(364\) | 22.1030 | 1.15851 | ||||||||
\(365\) | 18.3582 | − | 2.15647i | 0.960915 | − | 0.112875i | ||||
\(366\) | −29.1384 | −1.52309 | ||||||||
\(367\) | 19.7084i | 1.02877i | 0.857559 | + | 0.514385i | \(0.171980\pi\) | ||||
−0.857559 | + | 0.514385i | \(0.828020\pi\) | |||||||
\(368\) | − | 4.96680i | − | 0.258912i | ||||||
\(369\) | 3.32402 | 0.173042 | ||||||||
\(370\) | −1.40003 | − | 11.9186i | −0.0727840 | − | 0.619617i | ||||
\(371\) | −12.6842 | −0.658532 | ||||||||
\(372\) | − | 10.8366i | − | 0.561849i | ||||||
\(373\) | 13.6028i | 0.704329i | 0.935938 | + | 0.352164i | \(0.114554\pi\) | ||||
−0.935938 | + | 0.352164i | \(0.885446\pi\) | |||||||
\(374\) | 9.24597 | 0.478098 | ||||||||
\(375\) | −31.4325 | + | 11.5020i | −1.62317 | + | 0.593959i | ||||
\(376\) | 3.17119 | 0.163542 | ||||||||
\(377\) | 48.5933i | 2.50268i | ||||||||
\(378\) | − | 41.0264i | − | 2.11017i | ||||||
\(379\) | −7.71555 | −0.396321 | −0.198161 | − | 0.980170i | \(-0.563497\pi\) | ||||
−0.198161 | + | 0.980170i | \(0.563497\pi\) | |||||||
\(380\) | −0.548943 | − | 4.67320i | −0.0281602 | − | 0.239730i | ||||
\(381\) | −22.5199 | −1.15373 | ||||||||
\(382\) | − | 8.68534i | − | 0.444381i | ||||||
\(383\) | − | 30.6014i | − | 1.56366i | −0.623493 | − | 0.781829i | \(-0.714287\pi\) | ||
0.623493 | − | 0.781829i | \(-0.285713\pi\) | |||||||
\(384\) | −2.99373 | −0.152773 | ||||||||
\(385\) | 35.8394 | − | 4.20992i | 1.82654 | − | 0.214557i | ||||
\(386\) | 14.3676 | 0.731291 | ||||||||
\(387\) | 5.96240i | 0.303086i | ||||||||
\(388\) | − | 11.0593i | − | 0.561453i | ||||||
\(389\) | −5.44823 | −0.276236 | −0.138118 | − | 0.990416i | \(-0.544105\pi\) | ||||
−0.138118 | + | 0.990416i | \(0.544105\pi\) | |||||||
\(390\) | −31.7662 | + | 3.73145i | −1.60854 | + | 0.188949i | ||||
\(391\) | 13.1639 | 0.665729 | ||||||||
\(392\) | 14.4001i | 0.727316i | ||||||||
\(393\) | − | 36.0003i | − | 1.81597i | ||||||
\(394\) | −6.19264 | −0.311981 | ||||||||
\(395\) | 2.08127 | + | 17.7181i | 0.104720 | + | 0.891493i | ||||
\(396\) | −20.8000 | −1.04524 | ||||||||
\(397\) | − | 6.54409i | − | 0.328438i | −0.986424 | − | 0.164219i | \(-0.947490\pi\) | ||
0.986424 | − | 0.164219i | \(-0.0525104\pi\) | |||||||
\(398\) | − | 0.211786i | − | 0.0106159i | ||||||
\(399\) | 29.1424 | 1.45895 | ||||||||
\(400\) | −4.86390 | + | 1.15867i | −0.243195 | + | 0.0579337i | ||||
\(401\) | −3.13834 | −0.156721 | −0.0783606 | − | 0.996925i | \(-0.524969\pi\) | ||||
−0.0783606 | + | 0.996925i | \(0.524969\pi\) | |||||||
\(402\) | − | 23.0231i | − | 1.14829i | ||||||
\(403\) | − | 17.2951i | − | 0.861529i | ||||||
\(404\) | −0.530536 | −0.0263952 | ||||||||
\(405\) | 2.25991 | + | 19.2388i | 0.112296 | + | 0.955984i | ||||
\(406\) | −47.0480 | −2.33495 | ||||||||
\(407\) | − | 18.7223i | − | 0.928028i | ||||||
\(408\) | − | 7.93453i | − | 0.392818i | ||||||
\(409\) | −10.2908 | −0.508849 | −0.254425 | − | 0.967093i | \(-0.581886\pi\) | ||||
−0.254425 | + | 0.967093i | \(0.581886\pi\) | |||||||
\(410\) | 1.23809 | − | 0.145434i | 0.0611449 | − | 0.00718246i | ||||
\(411\) | −43.0408 | −2.12305 | ||||||||
\(412\) | − | 9.08431i | − | 0.447552i | ||||||
\(413\) | 32.5253i | 1.60046i | ||||||||
\(414\) | −29.6140 | −1.45545 | ||||||||
\(415\) | 7.39436 | − | 0.868587i | 0.362975 | − | 0.0426373i | ||||
\(416\) | −4.77797 | −0.234259 | ||||||||
\(417\) | 54.1921i | 2.65380i | ||||||||
\(418\) | − | 7.34089i | − | 0.359055i | ||||||
\(419\) | −16.4773 | −0.804967 | −0.402484 | − | 0.915427i | \(-0.631853\pi\) | ||||
−0.402484 | + | 0.915427i | \(0.631853\pi\) | |||||||
\(420\) | −3.61279 | − | 30.7560i | −0.176286 | − | 1.50074i | ||||
\(421\) | −30.5518 | −1.48901 | −0.744503 | − | 0.667619i | \(-0.767313\pi\) | ||||
−0.744503 | + | 0.667619i | \(0.767313\pi\) | |||||||
\(422\) | 3.04207i | 0.148086i | ||||||||
\(423\) | − | 18.9079i | − | 0.919333i | ||||||
\(424\) | 2.74193 | 0.133160 | ||||||||
\(425\) | −3.07093 | − | 12.8912i | −0.148962 | − | 0.625315i | ||||
\(426\) | 17.9959 | 0.871905 | ||||||||
\(427\) | − | 45.0258i | − | 2.17895i | ||||||
\(428\) | − | 9.47586i | − | 0.458033i | ||||||
\(429\) | −49.8998 | −2.40919 | ||||||||
\(430\) | 0.260869 | + | 2.22080i | 0.0125802 | + | 0.107096i | ||||
\(431\) | 11.2043 | 0.539693 | 0.269847 | − | 0.962903i | \(-0.413027\pi\) | ||||
0.269847 | + | 0.962903i | \(0.413027\pi\) | |||||||
\(432\) | 8.86861i | 0.426691i | ||||||||
\(433\) | 23.8671i | 1.14698i | 0.819212 | + | 0.573490i | \(0.194411\pi\) | ||||
−0.819212 | + | 0.573490i | \(0.805589\pi\) | |||||||
\(434\) | 16.7451 | 0.803789 | ||||||||
\(435\) | 67.6168 | − | 7.94268i | 3.24198 | − | 0.380822i | ||||
\(436\) | 5.58242 | 0.267350 | ||||||||
\(437\) | − | 10.4516i | − | 0.499967i | ||||||
\(438\) | − | 24.7477i | − | 1.18249i | ||||||
\(439\) | −8.60578 | −0.410732 | −0.205366 | − | 0.978685i | \(-0.565838\pi\) | ||||
−0.205366 | + | 0.978685i | \(0.565838\pi\) | |||||||
\(440\) | −7.74734 | + | 0.910050i | −0.369340 | + | 0.0433849i | ||||
\(441\) | 85.8593 | 4.08854 | ||||||||
\(442\) | − | 12.6635i | − | 0.602340i | ||||||
\(443\) | 4.88400i | 0.232046i | 0.993247 | + | 0.116023i | \(0.0370146\pi\) | ||||
−0.993247 | + | 0.116023i | \(0.962985\pi\) | |||||||
\(444\) | −16.0667 | −0.762493 | ||||||||
\(445\) | 4.14182 | + | 35.2597i | 0.196341 | + | 1.67147i | ||||
\(446\) | −2.70190 | −0.127939 | ||||||||
\(447\) | 44.4703i | 2.10337i | ||||||||
\(448\) | − | 4.62603i | − | 0.218559i | ||||||
\(449\) | −8.03223 | −0.379064 | −0.189532 | − | 0.981875i | \(-0.560697\pi\) | ||||
−0.189532 | + | 0.981875i | \(0.560697\pi\) | |||||||
\(450\) | 6.90848 | + | 29.0005i | 0.325669 | + | 1.36710i | ||||
\(451\) | 1.94485 | 0.0915794 | ||||||||
\(452\) | − | 6.79611i | − | 0.319662i | ||||||
\(453\) | − | 44.0182i | − | 2.06816i | ||||||
\(454\) | −4.81420 | −0.225942 | ||||||||
\(455\) | −5.76599 | − | 49.0864i | −0.270314 | − | 2.30120i | ||||
\(456\) | −6.29967 | −0.295009 | ||||||||
\(457\) | 0.0987491i | 0.00461929i | 0.999997 | + | 0.00230964i | \(0.000735183\pi\) | ||||
−0.999997 | + | 0.00230964i | \(0.999265\pi\) | |||||||
\(458\) | 9.80736i | 0.458268i | ||||||||
\(459\) | −23.5053 | −1.09713 | ||||||||
\(460\) | −11.0303 | + | 1.29568i | −0.514289 | + | 0.0604115i | ||||
\(461\) | −11.1908 | −0.521208 | −0.260604 | − | 0.965446i | \(-0.583922\pi\) | ||||
−0.260604 | + | 0.965446i | \(0.583922\pi\) | |||||||
\(462\) | − | 48.3129i | − | 2.24772i | ||||||
\(463\) | 2.98990i | 0.138952i | 0.997584 | + | 0.0694762i | \(0.0221328\pi\) | ||||
−0.997584 | + | 0.0694762i | \(0.977867\pi\) | |||||||
\(464\) | 10.1703 | 0.472144 | ||||||||
\(465\) | −24.0658 | + | 2.82692i | −1.11602 | + | 0.131095i | ||||
\(466\) | 22.4499 | 1.03997 | ||||||||
\(467\) | 7.76496i | 0.359319i | 0.983729 | + | 0.179660i | \(0.0574997\pi\) | ||||
−0.983729 | + | 0.179660i | \(0.942500\pi\) | |||||||
\(468\) | 28.4882i | 1.31687i | ||||||||
\(469\) | 35.5763 | 1.64276 | ||||||||
\(470\) | −0.827264 | − | 7.04257i | −0.0381588 | − | 0.324850i | ||||
\(471\) | 53.6669 | 2.47284 | ||||||||
\(472\) | − | 7.03093i | − | 0.323625i | ||||||
\(473\) | 3.48854i | 0.160403i | ||||||||
\(474\) | 23.8847 | 1.09706 | ||||||||
\(475\) | −10.2350 | + | 2.43818i | −0.469616 | + | 0.111872i | ||||
\(476\) | 12.2608 | 0.561971 | ||||||||
\(477\) | − | 16.3485i | − | 0.748545i | ||||||
\(478\) | 14.1375i | 0.646636i | ||||||||
\(479\) | 10.4742 | 0.478579 | 0.239289 | − | 0.970948i | \(-0.423086\pi\) | ||||
0.239289 | + | 0.970948i | \(0.423086\pi\) | |||||||
\(480\) | 0.780970 | + | 6.64846i | 0.0356462 | + | 0.303460i | ||||
\(481\) | −25.6424 | −1.16919 | ||||||||
\(482\) | 21.9544i | 0.999996i | ||||||||
\(483\) | − | 68.7855i | − | 3.12985i | ||||||
\(484\) | −1.16989 | −0.0531766 | ||||||||
\(485\) | −24.5606 | + | 2.88504i | −1.11524 | + | 0.131003i | ||||
\(486\) | −0.671161 | −0.0304445 | ||||||||
\(487\) | − | 27.1578i | − | 1.23064i | −0.788278 | − | 0.615320i | \(-0.789027\pi\) | ||
0.788278 | − | 0.615320i | \(-0.210973\pi\) | |||||||
\(488\) | 9.73316i | 0.440599i | ||||||||
\(489\) | 37.4233 | 1.69234 | ||||||||
\(490\) | 31.9798 | − | 3.75654i | 1.44470 | − | 0.169703i | ||||
\(491\) | −29.6634 | −1.33869 | −0.669346 | − | 0.742951i | \(-0.733426\pi\) | ||||
−0.669346 | + | 0.742951i | \(0.733426\pi\) | |||||||
\(492\) | − | 1.66900i | − | 0.0752441i | ||||||
\(493\) | 26.9552i | 1.21400i | ||||||||
\(494\) | −10.0542 | −0.452361 | ||||||||
\(495\) | 5.42608 | + | 46.1927i | 0.243884 | + | 2.07621i | ||||
\(496\) | −3.61975 | −0.162532 | ||||||||
\(497\) | 27.8080i | 1.24736i | ||||||||
\(498\) | − | 9.96789i | − | 0.446672i | ||||||
\(499\) | −33.5426 | −1.50157 | −0.750787 | − | 0.660544i | \(-0.770326\pi\) | ||||
−0.750787 | + | 0.660544i | \(0.770326\pi\) | |||||||
\(500\) | 3.84202 | + | 10.4995i | 0.171820 | + | 0.469551i | ||||
\(501\) | −66.2111 | −2.95810 | ||||||||
\(502\) | − | 6.04703i | − | 0.269892i | ||||||
\(503\) | 8.10256i | 0.361275i | 0.983550 | + | 0.180638i | \(0.0578161\pi\) | ||||
−0.983550 | + | 0.180638i | \(0.942184\pi\) | |||||||
\(504\) | −27.5822 | −1.22861 | ||||||||
\(505\) | 0.138400 | + | 1.17821i | 0.00615873 | + | 0.0524298i | ||||
\(506\) | −17.3269 | −0.770273 | ||||||||
\(507\) | 29.4254i | 1.30683i | ||||||||
\(508\) | 7.52237i | 0.333751i | ||||||||
\(509\) | 19.6854 | 0.872541 | 0.436271 | − | 0.899816i | \(-0.356299\pi\) | ||||
0.436271 | + | 0.899816i | \(0.356299\pi\) | |||||||
\(510\) | −17.6210 | + | 2.06987i | −0.780271 | + | 0.0916555i | ||||
\(511\) | 38.2411 | 1.69169 | ||||||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 18.6621i | 0.823953i | ||||||||
\(514\) | −2.09214 | −0.0922805 | ||||||||
\(515\) | −20.1744 | + | 2.36981i | −0.888992 | + | 0.104426i | ||||
\(516\) | 2.99373 | 0.131791 | ||||||||
\(517\) | − | 11.0628i | − | 0.486542i | ||||||
\(518\) | − | 24.8269i | − | 1.09083i | ||||||
\(519\) | 13.5761 | 0.595927 | ||||||||
\(520\) | 1.24642 | + | 10.6109i | 0.0546593 | + | 0.465319i | ||||
\(521\) | 31.2317 | 1.36829 | 0.684143 | − | 0.729348i | \(-0.260176\pi\) | ||||
0.684143 | + | 0.729348i | \(0.260176\pi\) | |||||||
\(522\) | − | 60.6393i | − | 2.65411i | ||||||
\(523\) | − | 6.74845i | − | 0.295089i | −0.989055 | − | 0.147545i | \(-0.952863\pi\) | ||
0.989055 | − | 0.147545i | \(-0.0471370\pi\) | |||||||
\(524\) | −12.0252 | −0.525325 | ||||||||
\(525\) | −67.3604 | + | 16.0465i | −2.93985 | + | 0.700329i | ||||
\(526\) | −2.57171 | −0.112132 | ||||||||
\(527\) | − | 9.59375i | − | 0.417910i | ||||||
\(528\) | 10.4437i | 0.454505i | ||||||||
\(529\) | −1.66909 | −0.0725691 | ||||||||
\(530\) | −0.715283 | − | 6.08927i | −0.0310699 | − | 0.264501i | ||||
\(531\) | −41.9212 | −1.81923 | ||||||||
\(532\) | − | 9.73450i | − | 0.422044i | ||||||
\(533\) | − | 2.66371i | − | 0.115378i | ||||||
\(534\) | 47.5314 | 2.05689 | ||||||||
\(535\) | −21.0440 | + | 2.47196i | −0.909811 | + | 0.106872i | ||||
\(536\) | −7.69046 | −0.332177 | ||||||||
\(537\) | − | 47.7502i | − | 2.06057i | ||||||
\(538\) | 17.4914i | 0.754108i | ||||||||
\(539\) | 50.2353 | 2.16379 | ||||||||
\(540\) | 19.6954 | − | 2.31354i | 0.847555 | − | 0.0995591i | ||||
\(541\) | 13.1053 | 0.563440 | 0.281720 | − | 0.959497i | \(-0.409095\pi\) | ||||
0.281720 | + | 0.959497i | \(0.409095\pi\) | |||||||
\(542\) | 32.7476i | 1.40663i | ||||||||
\(543\) | − | 78.5424i | − | 3.37058i | ||||||
\(544\) | −2.65039 | −0.113634 | ||||||||
\(545\) | −1.45628 | − | 12.3974i | −0.0623802 | − | 0.531048i | ||||
\(546\) | −66.1704 | −2.83183 | ||||||||
\(547\) | − | 19.6089i | − | 0.838417i | −0.907890 | − | 0.419209i | \(-0.862308\pi\) | ||
0.907890 | − | 0.419209i | \(-0.137692\pi\) | |||||||
\(548\) | 14.3770i | 0.614155i | ||||||||
\(549\) | 58.0330 | 2.47679 | ||||||||
\(550\) | 4.04208 | + | 16.9679i | 0.172355 | + | 0.723513i | ||||
\(551\) | 21.4012 | 0.911722 | ||||||||
\(552\) | 14.8692i | 0.632877i | ||||||||
\(553\) | 36.9076i | 1.56947i | ||||||||
\(554\) | −13.0999 | −0.556562 | ||||||||
\(555\) | 4.19130 | + | 35.6810i | 0.177911 | + | 1.51457i | ||||
\(556\) | 18.1019 | 0.767691 | ||||||||
\(557\) | 29.6319i | 1.25555i | 0.778396 | + | 0.627773i | \(0.216033\pi\) | ||||
−0.778396 | + | 0.627773i | \(0.783967\pi\) | |||||||
\(558\) | 21.5824i | 0.913656i | ||||||||
\(559\) | 4.77797 | 0.202087 | ||||||||
\(560\) | −10.2735 | + | 1.20679i | −0.434134 | + | 0.0509960i | ||||
\(561\) | −27.6799 | −1.16865 | ||||||||
\(562\) | 16.7089i | 0.704824i | ||||||||
\(563\) | − | 39.7808i | − | 1.67656i | −0.545239 | − | 0.838280i | \(-0.683561\pi\) | ||
0.545239 | − | 0.838280i | \(-0.316439\pi\) | |||||||
\(564\) | −9.49367 | −0.399756 | ||||||||
\(565\) | −15.0928 | + | 1.77289i | −0.634958 | + | 0.0745861i | ||||
\(566\) | −6.89032 | −0.289622 | ||||||||
\(567\) | 40.0753i | 1.68300i | ||||||||
\(568\) | − | 6.01121i | − | 0.252225i | ||||||
\(569\) | 34.6114 | 1.45099 | 0.725493 | − | 0.688230i | \(-0.241612\pi\) | ||||
0.725493 | + | 0.688230i | \(0.241612\pi\) | |||||||
\(570\) | 1.64339 | + | 13.9903i | 0.0688339 | + | 0.585989i | ||||
\(571\) | 8.87445 | 0.371384 | 0.185692 | − | 0.982608i | \(-0.440547\pi\) | ||||
0.185692 | + | 0.982608i | \(0.440547\pi\) | |||||||
\(572\) | 16.6681i | 0.696929i | ||||||||
\(573\) | 26.0015i | 1.08623i | ||||||||
\(574\) | 2.57900 | 0.107645 | ||||||||
\(575\) | 5.75490 | + | 24.1580i | 0.239996 | + | 1.00746i | ||||
\(576\) | 5.96240 | 0.248433 | ||||||||
\(577\) | − | 6.57391i | − | 0.273676i | −0.990593 | − | 0.136838i | \(-0.956306\pi\) | ||
0.990593 | − | 0.136838i | \(-0.0436939\pi\) | |||||||
\(578\) | 9.97545i | 0.414924i | ||||||||
\(579\) | −43.0126 | −1.78754 | ||||||||
\(580\) | −2.65311 | − | 22.5862i | −0.110164 | − | 0.937839i | ||||
\(581\) | 15.4028 | 0.639015 | ||||||||
\(582\) | 33.1087i | 1.37240i | ||||||||
\(583\) | − | 9.56531i | − | 0.396155i | ||||||
\(584\) | −8.26651 | −0.342070 | ||||||||
\(585\) | 63.2665 | − | 7.43167i | 2.61575 | − | 0.307262i | ||||
\(586\) | −28.8728 | −1.19273 | ||||||||
\(587\) | 9.82626i | 0.405573i | 0.979223 | + | 0.202787i | \(0.0649998\pi\) | ||||
−0.979223 | + | 0.202787i | \(0.935000\pi\) | |||||||
\(588\) | − | 43.1100i | − | 1.77783i | ||||||
\(589\) | −7.61701 | −0.313853 | ||||||||
\(590\) | −15.6143 | + | 1.83415i | −0.642830 | + | 0.0755107i | ||||
\(591\) | 18.5391 | 0.762596 | ||||||||
\(592\) | 5.36680i | 0.220574i | ||||||||
\(593\) | − | 18.4695i | − | 0.758450i | −0.925304 | − | 0.379225i | \(-0.876191\pi\) | ||
0.925304 | − | 0.379225i | \(-0.123809\pi\) | |||||||
\(594\) | 30.9385 | 1.26942 | ||||||||
\(595\) | −3.19845 | − | 27.2287i | −0.131124 | − | 1.11627i | ||||
\(596\) | 14.8545 | 0.608464 | ||||||||
\(597\) | 0.634031i | 0.0259491i | ||||||||
\(598\) | 23.7312i | 0.970442i | ||||||||
\(599\) | −4.56033 | −0.186330 | −0.0931649 | − | 0.995651i | \(-0.529698\pi\) | ||||
−0.0931649 | + | 0.995651i | \(0.529698\pi\) | |||||||
\(600\) | 14.5612 | − | 3.46875i | 0.594457 | − | 0.141611i | ||||
\(601\) | 14.2645 | 0.581861 | 0.290930 | − | 0.956744i | \(-0.406035\pi\) | ||||
0.290930 | + | 0.956744i | \(0.406035\pi\) | |||||||
\(602\) | 4.62603i | 0.188543i | ||||||||
\(603\) | 45.8536i | 1.86730i | ||||||||
\(604\) | −14.7035 | −0.598276 | ||||||||
\(605\) | 0.305186 | + | 2.59808i | 0.0124076 | + | 0.105627i | ||||
\(606\) | 1.58828 | 0.0645195 | ||||||||
\(607\) | − | 13.2840i | − | 0.539181i | −0.962975 | − | 0.269590i | \(-0.913112\pi\) | ||
0.962975 | − | 0.269590i | \(-0.0868883\pi\) | |||||||
\(608\) | 2.10429i | 0.0853402i | ||||||||
\(609\) | 140.849 | 5.70748 | ||||||||
\(610\) | 21.6154 | − | 2.53908i | 0.875181 | − | 0.102804i | ||||
\(611\) | −15.1518 | −0.612978 | ||||||||
\(612\) | 15.8027i | 0.638785i | ||||||||
\(613\) | − | 21.5258i | − | 0.869420i | −0.900570 | − | 0.434710i | \(-0.856851\pi\) | ||
0.900570 | − | 0.434710i | \(-0.143149\pi\) | |||||||
\(614\) | 18.0013 | 0.726474 | ||||||||
\(615\) | −3.70650 | + | 0.435389i | −0.149461 | + | 0.0175566i | ||||
\(616\) | −16.1381 | −0.650221 | ||||||||
\(617\) | − | 1.62412i | − | 0.0653848i | −0.999465 | − | 0.0326924i | \(-0.989592\pi\) | ||
0.999465 | − | 0.0326924i | \(-0.0104082\pi\) | |||||||
\(618\) | 27.1959i | 1.09398i | ||||||||
\(619\) | −4.73821 | −0.190445 | −0.0952223 | − | 0.995456i | \(-0.530356\pi\) | ||||
−0.0952223 | + | 0.995456i | \(0.530356\pi\) | |||||||
\(620\) | 0.944280 | + | 8.03874i | 0.0379232 | + | 0.322844i | ||||
\(621\) | 44.0486 | 1.76761 | ||||||||
\(622\) | − | 31.8831i | − | 1.27840i | ||||||
\(623\) | 73.4475i | 2.94261i | ||||||||
\(624\) | 14.3039 | 0.572616 | ||||||||
\(625\) | 22.3149 | − | 11.2713i | 0.892598 | − | 0.450853i | ||||
\(626\) | 10.9625 | 0.438148 | ||||||||
\(627\) | 21.9766i | 0.877661i | ||||||||
\(628\) | − | 17.9265i | − | 0.715343i | ||||||
\(629\) | −14.2241 | −0.567151 | ||||||||
\(630\) | 7.19534 | + | 61.2546i | 0.286669 | + | 2.44044i | ||||
\(631\) | −47.5754 | −1.89395 | −0.946974 | − | 0.321311i | \(-0.895876\pi\) | ||||
−0.946974 | + | 0.321311i | \(0.895876\pi\) | |||||||
\(632\) | − | 7.97824i | − | 0.317357i | ||||||
\(633\) | − | 9.10714i | − | 0.361976i | ||||||
\(634\) | 13.6282 | 0.541245 | ||||||||
\(635\) | 16.7057 | − | 1.96235i | 0.662945 | − | 0.0778736i | ||||
\(636\) | −8.20858 | −0.325491 | ||||||||
\(637\) | − | 68.8034i | − | 2.72609i | ||||||
\(638\) | − | 35.4794i | − | 1.40464i | ||||||
\(639\) | −35.8412 | −1.41786 | ||||||||
\(640\) | 2.22080 | − | 0.260869i | 0.0877848 | − | 0.0103117i | ||||
\(641\) | −21.5564 | −0.851428 | −0.425714 | − | 0.904858i | \(-0.639977\pi\) | ||||
−0.425714 | + | 0.904858i | \(0.639977\pi\) | |||||||
\(642\) | 28.3681i | 1.11960i | ||||||||
\(643\) | 15.6344i | 0.616561i | 0.951296 | + | 0.308280i | \(0.0997535\pi\) | ||||
−0.951296 | + | 0.308280i | \(0.900246\pi\) | |||||||
\(644\) | −22.9765 | −0.905403 | ||||||||
\(645\) | −0.780970 | − | 6.64846i | −0.0307506 | − | 0.261783i | ||||
\(646\) | −5.57718 | −0.219431 | ||||||||
\(647\) | 10.0084i | 0.393469i | 0.980457 | + | 0.196734i | \(0.0630337\pi\) | ||||
−0.980457 | + | 0.196734i | \(0.936966\pi\) | |||||||
\(648\) | − | 8.66301i | − | 0.340315i | ||||||
\(649\) | −24.5276 | −0.962794 | ||||||||
\(650\) | 23.2395 | − | 5.53611i | 0.911530 | − | 0.217144i | ||||
\(651\) | −50.1302 | −1.96476 | ||||||||
\(652\) | − | 12.5006i | − | 0.489560i | ||||||
\(653\) | 32.9927i | 1.29110i | 0.763717 | + | 0.645552i | \(0.223372\pi\) | ||||
−0.763717 | + | 0.645552i | \(0.776628\pi\) | |||||||
\(654\) | −16.7122 | −0.653501 | ||||||||
\(655\) | 3.13701 | + | 26.7056i | 0.122573 | + | 1.04348i | ||||
\(656\) | −0.557498 | −0.0217666 | ||||||||
\(657\) | 49.2882i | 1.92292i | ||||||||
\(658\) | − | 14.6700i | − | 0.571896i | ||||||
\(659\) | −24.4298 | −0.951648 | −0.475824 | − | 0.879540i | \(-0.657850\pi\) | ||||
−0.475824 | + | 0.879540i | \(0.657850\pi\) | |||||||
\(660\) | 23.1934 | − | 2.72444i | 0.902802 | − | 0.106049i | ||||
\(661\) | 38.2001 | 1.48581 | 0.742906 | − | 0.669395i | \(-0.233447\pi\) | ||||
0.742906 | + | 0.669395i | \(0.233447\pi\) | |||||||
\(662\) | − | 8.55144i | − | 0.332361i | ||||||
\(663\) | 37.9110i | 1.47234i | ||||||||
\(664\) | −3.32959 | −0.129213 | ||||||||
\(665\) | −21.6184 | + | 2.53943i | −0.838324 | + | 0.0984747i | ||||
\(666\) | 31.9990 | 1.23994 | ||||||||
\(667\) | − | 50.5138i | − | 1.95590i | ||||||
\(668\) | 22.1166i | 0.855718i | ||||||||
\(669\) | 8.08876 | 0.312730 | ||||||||
\(670\) | 2.00620 | + | 17.0790i | 0.0775063 | + | 0.659818i | ||||
\(671\) | 33.9545 | 1.31080 | ||||||||
\(672\) | 13.8491i | 0.534239i | ||||||||
\(673\) | − | 20.3916i | − | 0.786039i | −0.919530 | − | 0.393020i | \(-0.871430\pi\) | ||
0.919530 | − | 0.393020i | \(-0.128570\pi\) | |||||||
\(674\) | −29.4041 | −1.13261 | ||||||||
\(675\) | −10.2758 | − | 43.1360i | −0.395517 | − | 1.66031i | ||||
\(676\) | 9.82901 | 0.378039 | ||||||||
\(677\) | − | 41.7872i | − | 1.60601i | −0.595971 | − | 0.803006i | \(-0.703233\pi\) | ||
0.595971 | − | 0.803006i | \(-0.296767\pi\) | |||||||
\(678\) | 20.3457i | 0.781371i | ||||||||
\(679\) | −51.1608 | −1.96337 | ||||||||
\(680\) | 0.691403 | + | 5.88598i | 0.0265141 | + | 0.225717i | ||||
\(681\) | 14.4124 | 0.552285 | ||||||||
\(682\) | 12.6276i | 0.483537i | ||||||||
\(683\) | − | 16.9413i | − | 0.648241i | −0.946016 | − | 0.324120i | \(-0.894932\pi\) | ||
0.946016 | − | 0.324120i | \(-0.105068\pi\) | |||||||
\(684\) | 12.5466 | 0.479732 | ||||||||
\(685\) | 31.9284 | − | 3.75051i | 1.21992 | − | 0.143300i | ||||
\(686\) | 34.2331 | 1.30703 | ||||||||
\(687\) | − | 29.3606i | − | 1.12018i | ||||||
\(688\) | − | 1.00000i | − | 0.0381246i | ||||||
\(689\) | −13.1008 | −0.499102 | ||||||||
\(690\) | 33.0216 | − | 3.87892i | 1.25711 | − | 0.147668i | ||||
\(691\) | 14.5712 | 0.554316 | 0.277158 | − | 0.960824i | \(-0.410607\pi\) | ||||
0.277158 | + | 0.960824i | \(0.410607\pi\) | |||||||
\(692\) | − | 4.53486i | − | 0.172390i | ||||||
\(693\) | 96.2216i | 3.65515i | ||||||||
\(694\) | 9.69759 | 0.368116 | ||||||||
\(695\) | −4.72222 | − | 40.2006i | −0.179124 | − | 1.52490i | ||||
\(696\) | −30.4470 | −1.15409 | ||||||||
\(697\) | − | 1.47758i | − | 0.0559675i | ||||||
\(698\) | − | 9.38543i | − | 0.355244i | ||||||
\(699\) | −67.2087 | −2.54207 | ||||||||
\(700\) | 5.36006 | + | 22.5005i | 0.202591 | + | 0.850439i | ||||
\(701\) | −18.2538 | −0.689438 | −0.344719 | − | 0.938706i | \(-0.612026\pi\) | ||||
−0.344719 | + | 0.938706i | \(0.612026\pi\) | |||||||
\(702\) | − | 42.3740i | − | 1.59930i | ||||||
\(703\) | 11.2933i | 0.425934i | ||||||||
\(704\) | 3.48854 | 0.131479 | ||||||||
\(705\) | 2.47660 | + | 21.0835i | 0.0932742 | + | 0.794052i | ||||
\(706\) | 20.8583 | 0.785012 | ||||||||
\(707\) | 2.45427i | 0.0923024i | ||||||||
\(708\) | 21.0487i | 0.791058i | ||||||||
\(709\) | 0.140181 | 0.00526462 | 0.00263231 | − | 0.999997i | \(-0.499162\pi\) | ||||
0.00263231 | + | 0.999997i | \(0.499162\pi\) | |||||||
\(710\) | −13.3497 | + | 1.56814i | −0.501005 | + | 0.0588511i | ||||
\(711\) | −47.5695 | −1.78399 | ||||||||
\(712\) | − | 15.8770i | − | 0.595016i | ||||||
\(713\) | 17.9786i | 0.673303i | ||||||||
\(714\) | −36.7054 | −1.37366 | ||||||||
\(715\) | 37.0166 | − | 4.34819i | 1.38434 | − | 0.162613i | ||||
\(716\) | −15.9501 | −0.596082 | ||||||||
\(717\) | − | 42.3239i | − | 1.58062i | ||||||
\(718\) | 13.6002i | 0.507553i | ||||||||
\(719\) | 3.15758 | 0.117758 | 0.0588790 | − | 0.998265i | \(-0.481247\pi\) | ||||
0.0588790 | + | 0.998265i | \(0.481247\pi\) | |||||||
\(720\) | −1.55540 | − | 13.2413i | −0.0579665 | − | 0.493474i | ||||
\(721\) | −42.0243 | −1.56507 | ||||||||
\(722\) | − | 14.5720i | − | 0.542313i | ||||||
\(723\) | − | 65.7255i | − | 2.44436i | ||||||
\(724\) | −26.2357 | −0.975041 | ||||||||
\(725\) | −49.4672 | + | 11.7840i | −1.83717 | + | 0.437648i | ||||
\(726\) | 3.50232 | 0.129983 | ||||||||
\(727\) | 23.4997i | 0.871554i | 0.900055 | + | 0.435777i | \(0.143526\pi\) | ||||
−0.900055 | + | 0.435777i | \(0.856474\pi\) | |||||||
\(728\) | 22.1030i | 0.819192i | ||||||||
\(729\) | 27.9983 | 1.03697 | ||||||||
\(730\) | 2.15647 | + | 18.3582i | 0.0798147 | + | 0.679469i | ||||
\(731\) | 2.65039 | 0.0980281 | ||||||||
\(732\) | − | 29.1384i | − | 1.07699i | ||||||
\(733\) | 36.0182i | 1.33036i | 0.746682 | + | 0.665181i | \(0.231645\pi\) | ||||
−0.746682 | + | 0.665181i | \(0.768355\pi\) | |||||||
\(734\) | −19.7084 | −0.727450 | ||||||||
\(735\) | −95.7387 | + | 11.2461i | −3.53137 | + | 0.414817i | ||||
\(736\) | 4.96680 | 0.183079 | ||||||||
\(737\) | 26.8284i | 0.988238i | ||||||||
\(738\) | 3.32402i | 0.122359i | ||||||||
\(739\) | −13.7081 | −0.504262 | −0.252131 | − | 0.967693i | \(-0.581131\pi\) | ||||
−0.252131 | + | 0.967693i | \(0.581131\pi\) | |||||||
\(740\) | 11.9186 | − | 1.40003i | 0.438135 | − | 0.0514661i | ||||
\(741\) | 30.0996 | 1.10574 | ||||||||
\(742\) | − | 12.6842i | − | 0.465652i | ||||||
\(743\) | − | 17.1729i | − | 0.630013i | −0.949090 | − | 0.315006i | \(-0.897993\pi\) | ||
0.949090 | − | 0.315006i | \(-0.102007\pi\) | |||||||
\(744\) | 10.8366 | 0.397287 | ||||||||
\(745\) | −3.87508 | − | 32.9889i | −0.141972 | − | 1.20862i | ||||
\(746\) | −13.6028 | −0.498036 | ||||||||
\(747\) | 19.8524i | 0.726360i | ||||||||
\(748\) | 9.24597i | 0.338066i | ||||||||
\(749\) | −43.8356 | −1.60172 | ||||||||
\(750\) | −11.5020 | − | 31.4325i | −0.419992 | − | 1.14775i | ||||
\(751\) | −40.3567 | −1.47264 | −0.736319 | − | 0.676635i | \(-0.763438\pi\) | ||||
−0.736319 | + | 0.676635i | \(0.763438\pi\) | |||||||
\(752\) | 3.17119i | 0.115641i | ||||||||
\(753\) | 18.1031i | 0.659715i | ||||||||
\(754\) | −48.5933 | −1.76966 | ||||||||
\(755\) | 3.83568 | + | 32.6535i | 0.139595 | + | 1.18838i | ||||
\(756\) | 41.0264 | 1.49212 | ||||||||
\(757\) | 11.1114i | 0.403852i | 0.979401 | + | 0.201926i | \(0.0647200\pi\) | ||||
−0.979401 | + | 0.201926i | \(0.935280\pi\) | |||||||
\(758\) | − | 7.71555i | − | 0.280242i | ||||||
\(759\) | 51.8719 | 1.88283 | ||||||||
\(760\) | 4.67320 | − | 0.548943i | 0.169515 | − | 0.0199123i | ||||
\(761\) | −13.4225 | −0.486565 | −0.243282 | − | 0.969956i | \(-0.578224\pi\) | ||||
−0.243282 | + | 0.969956i | \(0.578224\pi\) | |||||||
\(762\) | − | 22.5199i | − | 0.815811i | ||||||
\(763\) | − | 25.8244i | − | 0.934907i | ||||||
\(764\) | 8.68534 | 0.314225 | ||||||||
\(765\) | 35.0945 | − | 4.12242i | 1.26885 | − | 0.149046i | ||||
\(766\) | 30.6014 | 1.10567 | ||||||||
\(767\) | 33.5936i | 1.21299i | ||||||||
\(768\) | − | 2.99373i | − | 0.108027i | ||||||
\(769\) | −41.6170 | −1.50075 | −0.750374 | − | 0.661014i | \(-0.770127\pi\) | ||||
−0.750374 | + | 0.661014i | \(0.770127\pi\) | |||||||
\(770\) | 4.20992 | + | 35.8394i | 0.151715 | + | 1.29156i | ||||
\(771\) | 6.26331 | 0.225568 | ||||||||
\(772\) | 14.3676i | 0.517101i | ||||||||
\(773\) | 28.1444i | 1.01228i | 0.862450 | + | 0.506142i | \(0.168929\pi\) | ||||
−0.862450 | + | 0.506142i | \(0.831071\pi\) | |||||||
\(774\) | −5.96240 | −0.214314 | ||||||||
\(775\) | 17.6061 | − | 4.19411i | 0.632430 | − | 0.150657i | ||||
\(776\) | 11.0593 | 0.397007 | ||||||||
\(777\) | 74.3251i | 2.66640i | ||||||||
\(778\) | − | 5.44823i | − | 0.195329i | ||||||
\(779\) | −1.17314 | −0.0420320 | ||||||||
\(780\) | −3.73145 | − | 31.7662i | −0.133607 | − | 1.13741i | ||||
\(781\) | −20.9703 | −0.750377 | ||||||||
\(782\) | 13.1639i | 0.470741i | ||||||||
\(783\) | 90.1963i | 3.22335i | ||||||||
\(784\) | −14.4001 | −0.514290 | ||||||||
\(785\) | −39.8110 | + | 4.67645i | −1.42092 | + | 0.166910i | ||||
\(786\) | 36.0003 | 1.28409 | ||||||||
\(787\) | 44.7773i | 1.59614i | 0.602565 | + | 0.798070i | \(0.294146\pi\) | ||||
−0.602565 | + | 0.798070i | \(0.705854\pi\) | |||||||
\(788\) | − | 6.19264i | − | 0.220604i | ||||||
\(789\) | 7.69899 | 0.274091 | ||||||||
\(790\) | −17.7181 | + | 2.08127i | −0.630381 | + | 0.0740484i | ||||
\(791\) | −31.4390 | −1.11784 | ||||||||
\(792\) | − | 20.8000i | − | 0.739097i | ||||||
\(793\) | − | 46.5047i | − | 1.65143i | ||||||
\(794\) | 6.54409 | 0.232241 | ||||||||
\(795\) | 2.14136 | + | 18.2296i | 0.0759463 | + | 0.646537i | ||||
\(796\) | 0.211786 | 0.00750657 | ||||||||
\(797\) | − | 34.8205i | − | 1.23340i | −0.787196 | − | 0.616702i | \(-0.788468\pi\) | ||
0.787196 | − | 0.616702i | \(-0.211532\pi\) | |||||||
\(798\) | 29.1424i | 1.03163i | ||||||||
\(799\) | −8.40488 | −0.297343 | ||||||||
\(800\) | −1.15867 | − | 4.86390i | −0.0409653 | − | 0.171965i | ||||
\(801\) | −94.6651 | −3.34483 | ||||||||
\(802\) | − | 3.13834i | − | 0.110819i | ||||||
\(803\) | 28.8380i | 1.01767i | ||||||||
\(804\) | 23.0231 | 0.811963 | ||||||||
\(805\) | 5.99386 | + | 51.0263i | 0.211256 | + | 1.79844i | ||||
\(806\) | 17.2951 | 0.609193 | ||||||||
\(807\) | − | 52.3645i | − | 1.84332i | ||||||
\(808\) | − | 0.530536i | − | 0.0186642i | ||||||
\(809\) | −55.3571 | −1.94625 | −0.973126 | − | 0.230275i | \(-0.926038\pi\) | ||||
−0.973126 | + | 0.230275i | \(0.926038\pi\) | |||||||
\(810\) | −19.2388 | + | 2.25991i | −0.675983 | + | 0.0794051i | ||||
\(811\) | 31.3299 | 1.10014 | 0.550071 | − | 0.835118i | \(-0.314601\pi\) | ||||
0.550071 | + | 0.835118i | \(0.314601\pi\) | |||||||
\(812\) | − | 47.0480i | − | 1.65106i | ||||||
\(813\) | − | 98.0374i | − | 3.43832i | ||||||
\(814\) | 18.7223 | 0.656215 | ||||||||
\(815\) | −27.7613 | + | 3.26101i | −0.972434 | + | 0.114228i | ||||
\(816\) | 7.93453 | 0.277764 | ||||||||
\(817\) | − | 2.10429i | − | 0.0736198i | ||||||
\(818\) | − | 10.2908i | − | 0.359811i | ||||||
\(819\) | 131.787 | 4.60501 | ||||||||
\(820\) | 0.145434 | + | 1.23809i | 0.00507876 | + | 0.0432360i | ||||
\(821\) | 19.5486 | 0.682250 | 0.341125 | − | 0.940018i | \(-0.389192\pi\) | ||||
0.341125 | + | 0.940018i | \(0.389192\pi\) | |||||||
\(822\) | − | 43.0408i | − | 1.50122i | ||||||
\(823\) | 10.7039i | 0.373115i | 0.982444 | + | 0.186557i | \(0.0597330\pi\) | ||||
−0.982444 | + | 0.186557i | \(0.940267\pi\) | |||||||
\(824\) | 9.08431 | 0.316467 | ||||||||
\(825\) | −12.1009 | − | 50.7972i | −0.421298 | − | 1.76853i | ||||
\(826\) | −32.5253 | −1.13170 | ||||||||
\(827\) | 10.3788i | 0.360907i | 0.983583 | + | 0.180454i | \(0.0577566\pi\) | ||||
−0.983583 | + | 0.180454i | \(0.942243\pi\) | |||||||
\(828\) | − | 29.6140i | − | 1.02916i | ||||||
\(829\) | 8.66013 | 0.300779 | 0.150389 | − | 0.988627i | \(-0.451947\pi\) | ||||
0.150389 | + | 0.988627i | \(0.451947\pi\) | |||||||
\(830\) | 0.868587 | + | 7.39436i | 0.0301491 | + | 0.256662i | ||||
\(831\) | 39.2176 | 1.36044 | ||||||||
\(832\) | − | 4.77797i | − | 0.165646i | ||||||
\(833\) | − | 38.1659i | − | 1.32237i | ||||||
\(834\) | −54.1921 | −1.87652 | ||||||||
\(835\) | 49.1166 | − | 5.76954i | 1.69975 | − | 0.199663i | ||||
\(836\) | 7.34089 | 0.253890 | ||||||||
\(837\) | − | 32.1022i | − | 1.10961i | ||||||
\(838\) | − | 16.4773i | − | 0.569198i | ||||||
\(839\) | −23.7506 | −0.819961 | −0.409980 | − | 0.912094i | \(-0.634464\pi\) | ||||
−0.409980 | + | 0.912094i | \(0.634464\pi\) | |||||||
\(840\) | 30.7560 | − | 3.61279i | 1.06118 | − | 0.124653i | ||||
\(841\) | 74.4347 | 2.56671 | ||||||||
\(842\) | − | 30.5518i | − | 1.05289i | ||||||
\(843\) | − | 50.0220i | − | 1.72285i | ||||||
\(844\) | −3.04207 | −0.104712 | ||||||||
\(845\) | −2.56408 | − | 21.8282i | −0.0882070 | − | 0.750914i | ||||
\(846\) | 18.9079 | 0.650067 | ||||||||
\(847\) | 5.41192i | 0.185956i | ||||||||
\(848\) | 2.74193i | 0.0941581i | ||||||||
\(849\) | 20.6277 | 0.707942 | ||||||||
\(850\) | 12.8912 | − | 3.07093i | 0.442165 | − | 0.105332i | ||||
\(851\) | 26.6558 | 0.913749 | ||||||||
\(852\) | 17.9959i | 0.616530i | ||||||||
\(853\) | 32.1905i | 1.10218i | 0.834446 | + | 0.551090i | \(0.185788\pi\) | ||||
−0.834446 | + | 0.551090i | \(0.814212\pi\) | |||||||
\(854\) | 45.0258 | 1.54075 | ||||||||
\(855\) | −3.27302 | − | 27.8635i | −0.111935 | − | 0.952912i | ||||
\(856\) | 9.47586 | 0.323878 | ||||||||
\(857\) | − | 2.66981i | − | 0.0911989i | −0.998960 | − | 0.0455995i | \(-0.985480\pi\) | ||
0.998960 | − | 0.0455995i | \(-0.0145198\pi\) | |||||||
\(858\) | − | 49.8998i | − | 1.70355i | ||||||
\(859\) | 1.16650 | 0.0398004 | 0.0199002 | − | 0.999802i | \(-0.493665\pi\) | ||||
0.0199002 | + | 0.999802i | \(0.493665\pi\) | |||||||
\(860\) | −2.22080 | + | 0.260869i | −0.0757286 | + | 0.00889555i | ||||
\(861\) | −7.72082 | −0.263125 | ||||||||
\(862\) | 11.2043i | 0.381621i | ||||||||
\(863\) | − | 38.0660i | − | 1.29578i | −0.761733 | − | 0.647891i | \(-0.775651\pi\) | ||
0.761733 | − | 0.647891i | \(-0.224349\pi\) | |||||||
\(864\) | −8.86861 | −0.301716 | ||||||||
\(865\) | −10.0710 | + | 1.18300i | −0.342425 | + | 0.0402234i | ||||
\(866\) | −23.8671 | −0.811038 | ||||||||
\(867\) | − | 29.8638i | − | 1.01423i | ||||||
\(868\) | 16.7451i | 0.568365i | ||||||||
\(869\) | −27.8324 | −0.944149 | ||||||||
\(870\) | 7.94268 | + | 67.6168i | 0.269282 | + | 2.29242i | ||||
\(871\) | 36.7448 | 1.24505 | ||||||||
\(872\) | 5.58242i | 0.189045i | ||||||||
\(873\) | − | 65.9402i | − | 2.23174i | ||||||
\(874\) | 10.4516 | 0.353530 | ||||||||
\(875\) | 48.5708 | − | 17.7733i | 1.64199 | − | 0.600847i | ||||
\(876\) | 24.7477 | 0.836146 | ||||||||
\(877\) | − | 14.1633i | − | 0.478262i | −0.970987 | − | 0.239131i | \(-0.923137\pi\) | ||
0.970987 | − | 0.239131i | \(-0.0768626\pi\) | |||||||
\(878\) | − | 8.60578i | − | 0.290431i | ||||||
\(879\) | 86.4374 | 2.91546 | ||||||||
\(880\) | −0.910050 | − | 7.74734i | −0.0306778 | − | 0.261163i | ||||
\(881\) | −2.58856 | −0.0872109 | −0.0436055 | − | 0.999049i | \(-0.513884\pi\) | ||||
−0.0436055 | + | 0.999049i | \(0.513884\pi\) | |||||||
\(882\) | 85.8593i | 2.89103i | ||||||||
\(883\) | − | 23.8437i | − | 0.802403i | −0.915990 | − | 0.401202i | \(-0.868593\pi\) | ||
0.915990 | − | 0.401202i | \(-0.131407\pi\) | |||||||
\(884\) | 12.6635 | 0.425919 | ||||||||
\(885\) | 46.7449 | − | 5.49094i | 1.57131 | − | 0.184576i | ||||
\(886\) | −4.88400 | −0.164081 | ||||||||
\(887\) | 13.0391i | 0.437809i | 0.975746 | + | 0.218905i | \(0.0702484\pi\) | ||||
−0.975746 | + | 0.218905i | \(0.929752\pi\) | |||||||
\(888\) | − | 16.0667i | − | 0.539164i | ||||||
\(889\) | 34.7987 | 1.16711 | ||||||||
\(890\) | −35.2597 | + | 4.14182i | −1.18191 | + | 0.138834i | ||||
\(891\) | −30.2212 | −1.01245 | ||||||||
\(892\) | − | 2.70190i | − | 0.0904665i | ||||||
\(893\) | 6.67310i | 0.223307i | ||||||||
\(894\) | −44.4703 | −1.48731 | ||||||||
\(895\) | 4.16087 | + | 35.4219i | 0.139083 | + | 1.18402i | ||||
\(896\) | 4.62603 | 0.154545 | ||||||||
\(897\) | − | 71.0448i | − | 2.37212i | ||||||
\(898\) | − | 8.03223i | − | 0.268039i | ||||||
\(899\) | −36.8139 | −1.22781 | ||||||||
\(900\) | −29.0005 | + | 6.90848i | −0.966683 | + | 0.230283i | ||||
\(901\) | −7.26716 | −0.242104 | ||||||||
\(902\) | 1.94485i | 0.0647564i | ||||||||
\(903\) | − | 13.8491i | − | 0.460868i | ||||||
\(904\) | 6.79611 | 0.226035 | ||||||||
\(905\) | 6.84406 | + | 58.2641i | 0.227504 | + | 1.93677i | ||||
\(906\) | 44.0182 | 1.46241 | ||||||||
\(907\) | 20.1873i | 0.670307i | 0.942164 | + | 0.335154i | \(0.108788\pi\) | ||||
−0.942164 | + | 0.335154i | \(0.891212\pi\) | |||||||
\(908\) | − | 4.81420i | − | 0.159765i | ||||||
\(909\) | −3.16327 | −0.104919 | ||||||||
\(910\) | 49.0864 | − | 5.76599i | 1.62720 | − | 0.191141i | ||||
\(911\) | −35.7967 | −1.18600 | −0.592998 | − | 0.805204i | \(-0.702056\pi\) | ||||
−0.592998 | + | 0.805204i | \(0.702056\pi\) | |||||||
\(912\) | − | 6.29967i | − | 0.208603i | ||||||
\(913\) | 11.6154i | 0.384414i | ||||||||
\(914\) | −0.0987491 | −0.00326633 | ||||||||
\(915\) | −64.7106 | + | 7.60130i | −2.13927 | + | 0.251291i | ||||
\(916\) | −9.80736 | −0.324044 | ||||||||
\(917\) | 55.6290i | 1.83703i | ||||||||
\(918\) | − | 23.5053i | − | 0.775789i | ||||||
\(919\) | 8.73432 | 0.288119 | 0.144059 | − | 0.989569i | \(-0.453984\pi\) | ||||
0.144059 | + | 0.989569i | \(0.453984\pi\) | |||||||
\(920\) | −1.29568 | − | 11.0303i | −0.0427174 | − | 0.363657i | ||||
\(921\) | −53.8910 | −1.77577 | ||||||||
\(922\) | − | 11.1908i | − | 0.368550i | ||||||
\(923\) | 28.7214i | 0.945376i | ||||||||
\(924\) | 48.3129 | 1.58938 | ||||||||
\(925\) | −6.21837 | − | 26.1035i | −0.204459 | − | 0.858279i | ||||
\(926\) | −2.98990 | −0.0982542 | ||||||||
\(927\) | − | 54.1643i | − | 1.77899i | ||||||
\(928\) | 10.1703i | 0.333856i | ||||||||
\(929\) | 21.4292 | 0.703068 | 0.351534 | − | 0.936175i | \(-0.385660\pi\) | ||||
0.351534 | + | 0.936175i | \(0.385660\pi\) | |||||||
\(930\) | −2.82692 | − | 24.0658i | −0.0926983 | − | 0.789149i | ||||
\(931\) | −30.3020 | −0.993108 | ||||||||
\(932\) | 22.4499i | 0.735369i | ||||||||
\(933\) | 95.4493i | 3.12487i | ||||||||
\(934\) | −7.76496 | −0.254077 | ||||||||
\(935\) | 20.5334 | − | 2.41198i | 0.671515 | − | 0.0788803i | ||||
\(936\) | −28.4882 | −0.931165 | ||||||||
\(937\) | 11.0274i | 0.360249i | 0.983644 | + | 0.180125i | \(0.0576501\pi\) | ||||
−0.983644 | + | 0.180125i | \(0.942350\pi\) | |||||||
\(938\) | 35.5763i | 1.16161i | ||||||||
\(939\) | −32.8186 | −1.07100 | ||||||||
\(940\) | 7.04257 | − | 0.827264i | 0.229703 | − | 0.0269824i | ||||
\(941\) | −11.6424 | −0.379532 | −0.189766 | − | 0.981829i | \(-0.560773\pi\) | ||||
−0.189766 | + | 0.981829i | \(0.560773\pi\) | |||||||
\(942\) | 53.6669i | 1.74856i | ||||||||
\(943\) | 2.76898i | 0.0901703i | ||||||||
\(944\) | 7.03093 | 0.228837 | ||||||||
\(945\) | −10.7025 | − | 91.1115i | −0.348153 | − | 2.96386i | ||||
\(946\) | −3.48854 | −0.113422 | ||||||||
\(947\) | 43.0973i | 1.40048i | 0.713910 | + | 0.700238i | \(0.246923\pi\) | ||||
−0.713910 | + | 0.700238i | \(0.753077\pi\) | |||||||
\(948\) | 23.8847i | 0.775738i | ||||||||
\(949\) | 39.4971 | 1.28213 | ||||||||
\(950\) | −2.43818 | − | 10.2350i | −0.0791052 | − | 0.332069i | ||||
\(951\) | −40.7991 | −1.32300 | ||||||||
\(952\) | 12.2608i | 0.397373i | ||||||||
\(953\) | − | 17.1976i | − | 0.557084i | −0.960424 | − | 0.278542i | \(-0.910149\pi\) | ||
0.960424 | − | 0.278542i | \(-0.0898511\pi\) | |||||||
\(954\) | 16.3485 | 0.529301 | ||||||||
\(955\) | −2.26573 | − | 19.2884i | −0.0733174 | − | 0.624158i | ||||
\(956\) | −14.1375 | −0.457241 | ||||||||
\(957\) | 106.216i | 3.43346i | ||||||||
\(958\) | 10.4742i | 0.338406i | ||||||||
\(959\) | 66.5084 | 2.14767 | ||||||||
\(960\) | −6.64846 | + | 0.780970i | −0.214578 | + | 0.0252057i | ||||
\(961\) | −17.8974 | −0.577335 | ||||||||
\(962\) | − | 25.6424i | − | 0.826744i | ||||||
\(963\) | − | 56.4989i | − | 1.82065i | ||||||
\(964\) | −21.9544 | −0.707104 | ||||||||
\(965\) | 31.9075 | − | 3.74805i | 1.02714 | − | 0.120654i | ||||
\(966\) | 68.7855 | 2.21314 | ||||||||
\(967\) | 29.2625i | 0.941019i | 0.882395 | + | 0.470510i | \(0.155930\pi\) | ||||
−0.882395 | + | 0.470510i | \(0.844070\pi\) | |||||||
\(968\) | − | 1.16989i | − | 0.0376015i | ||||||
\(969\) | 16.6966 | 0.536370 | ||||||||
\(970\) | −2.88504 | − | 24.5606i | −0.0926330 | − | 0.788593i | ||||
\(971\) | 26.8793 | 0.862599 | 0.431300 | − | 0.902209i | \(-0.358055\pi\) | ||||
0.431300 | + | 0.902209i | \(0.358055\pi\) | |||||||
\(972\) | − | 0.671161i | − | 0.0215275i | ||||||
\(973\) | − | 83.7398i | − | 2.68457i | ||||||
\(974\) | 27.1578 | 0.870193 | ||||||||
\(975\) | −69.5729 | + | 16.5736i | −2.22811 | + | 0.530780i | ||||
\(976\) | −9.73316 | −0.311551 | ||||||||
\(977\) | 18.7699i | 0.600504i | 0.953860 | + | 0.300252i | \(0.0970707\pi\) | ||||
−0.953860 | + | 0.300252i | \(0.902929\pi\) | |||||||
\(978\) | 37.4233i | 1.19666i | ||||||||
\(979\) | −55.3875 | −1.77019 | ||||||||
\(980\) | 3.75654 | + | 31.9798i | 0.119998 | + | 1.02156i | ||||
\(981\) | 33.2846 | 1.06270 | ||||||||
\(982\) | − | 29.6634i | − | 0.946599i | ||||||
\(983\) | − | 3.92823i | − | 0.125291i | −0.998036 | − | 0.0626456i | \(-0.980046\pi\) | ||
0.998036 | − | 0.0626456i | \(-0.0199538\pi\) | |||||||
\(984\) | 1.66900 | 0.0532056 | ||||||||
\(985\) | −13.7526 | + | 1.61547i | −0.438195 | + | 0.0514731i | ||||
\(986\) | −26.9552 | −0.858428 | ||||||||
\(987\) | 43.9180i | 1.39792i | ||||||||
\(988\) | − | 10.0542i | − | 0.319868i | ||||||
\(989\) | −4.96680 | −0.157935 | ||||||||
\(990\) | −46.1927 | + | 5.42608i | −1.46810 | + | 0.172452i | ||||
\(991\) | −14.4084 | −0.457697 | −0.228848 | − | 0.973462i | \(-0.573496\pi\) | ||||
−0.228848 | + | 0.973462i | \(0.573496\pi\) | |||||||
\(992\) | − | 3.61975i | − | 0.114927i | ||||||
\(993\) | 25.6007i | 0.812412i | ||||||||
\(994\) | −27.8080 | −0.882017 | ||||||||
\(995\) | −0.0552484 | − | 0.470335i | −0.00175149 | − | 0.0149106i | ||||
\(996\) | 9.96789 | 0.315845 | ||||||||
\(997\) | − | 50.9001i | − | 1.61202i | −0.591900 | − | 0.806012i | \(-0.701622\pi\) | ||
0.591900 | − | 0.806012i | \(-0.298378\pi\) | |||||||
\(998\) | − | 33.5426i | − | 1.06177i | ||||||
\(999\) | −47.5960 | −1.50587 |
(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 | 430.2.b.b.259.10 | yes | 16 | |
5.2 | odd | 4 | 2150.2.a.bg.1.2 | 8 | |||
5.3 | odd | 4 | 2150.2.a.bh.1.7 | 8 | |||
5.4 | even | 2 | inner | 430.2.b.b.259.7 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.b.b.259.7 | ✓ | 16 | 5.4 | even | 2 | inner | |
430.2.b.b.259.10 | yes | 16 | 1.1 | even | 1 | trivial | |
2150.2.a.bg.1.2 | 8 | 5.2 | odd | 4 | |||
2150.2.a.bh.1.7 | 8 | 5.3 | odd | 4 |