Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(311,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.311");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bg (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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 311.1 | ||
Character | \(\chi\) | \(=\) | 546.311 |
Dual form | 546.2.bg.b.467.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | −1.71076 | − | 0.270722i | −0.987709 | − | 0.156301i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −2.20332 | + | 1.27209i | −0.985355 | + | 0.568895i | −0.903883 | − | 0.427781i | \(-0.859296\pi\) |
−0.0814725 | + | 0.996676i | \(0.525962\pi\) | |||||||
\(6\) | −0.620929 | − | 1.61693i | −0.253493 | − | 0.660107i | ||||
\(7\) | −2.32714 | + | 1.25873i | −0.879578 | + | 0.475755i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 2.85342 | + | 0.926282i | 0.951140 | + | 0.308761i | ||||
\(10\) | −2.20332 | − | 1.27209i | −0.696751 | − | 0.402270i | ||||
\(11\) | 2.05512 | − | 3.55958i | 0.619643 | − | 1.07325i | −0.369908 | − | 0.929068i | \(-0.620611\pi\) |
0.989551 | − | 0.144184i | \(-0.0460558\pi\) | |||||||
\(12\) | 1.08983 | − | 1.34620i | 0.314608 | − | 0.388615i | ||||
\(13\) | −0.691594 | + | 3.53860i | −0.191814 | + | 0.981431i | ||||
\(14\) | −2.25366 | − | 1.38600i | −0.602317 | − | 0.370425i | ||||
\(15\) | 4.11374 | − | 1.57975i | 1.06216 | − | 0.407891i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 2.85089 | − | 4.93789i | 0.691443 | − | 1.19761i | −0.279922 | − | 0.960023i | \(-0.590309\pi\) |
0.971365 | − | 0.237591i | \(-0.0763579\pi\) | |||||||
\(18\) | 0.624526 | + | 2.93427i | 0.147202 | + | 0.691615i | ||||
\(19\) | −4.22658 | − | 7.32066i | −0.969645 | − | 1.67947i | −0.696581 | − | 0.717478i | \(-0.745296\pi\) |
−0.273064 | − | 0.961996i | \(-0.588037\pi\) | |||||||
\(20\) | − | 2.54418i | − | 0.568895i | ||||||
\(21\) | 4.32196 | − | 1.52338i | 0.943129 | − | 0.332428i | ||||
\(22\) | 4.11024 | 0.876307 | ||||||||
\(23\) | 1.13269 | − | 0.653959i | 0.236182 | − | 0.136360i | −0.377238 | − | 0.926116i | \(-0.623126\pi\) |
0.613421 | + | 0.789756i | \(0.289793\pi\) | |||||||
\(24\) | 1.71076 | + | 0.270722i | 0.349208 | + | 0.0552609i | ||||
\(25\) | 0.736416 | − | 1.27551i | 0.147283 | − | 0.255102i | ||||
\(26\) | −3.41032 | + | 1.17036i | −0.668818 | + | 0.229527i | ||||
\(27\) | −4.63076 | − | 2.35713i | −0.891190 | − | 0.453630i | ||||
\(28\) | 0.0734817 | − | 2.64473i | 0.0138867 | − | 0.499807i | ||||
\(29\) | − | 6.06189i | − | 1.12566i | −0.826571 | − | 0.562832i | \(-0.809712\pi\) | ||
0.826571 | − | 0.562832i | \(-0.190288\pi\) | |||||||
\(30\) | 3.42498 | + | 2.77273i | 0.625313 | + | 0.506229i | ||||
\(31\) | 0.00131550 | − | 0.00227852i | 0.000236271 | − | 0.000409234i | −0.865907 | − | 0.500205i | \(-0.833258\pi\) |
0.866144 | + | 0.499795i | \(0.166591\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −4.47948 | + | 5.53322i | −0.779778 | + | 0.963211i | ||||
\(34\) | 5.70178 | 0.977848 | ||||||||
\(35\) | 3.52623 | − | 5.73372i | 0.596042 | − | 0.969175i | ||||
\(36\) | −2.22889 | + | 2.00799i | −0.371482 | + | 0.334665i | ||||
\(37\) | −6.13142 | + | 3.53998i | −1.00800 | + | 0.581969i | −0.910605 | − | 0.413277i | \(-0.864384\pi\) |
−0.0973943 | + | 0.995246i | \(0.531051\pi\) | |||||||
\(38\) | 4.22658 | − | 7.32066i | 0.685642 | − | 1.18757i | ||||
\(39\) | 2.14113 | − | 5.86648i | 0.342855 | − | 0.939388i | ||||
\(40\) | 2.20332 | − | 1.27209i | 0.348376 | − | 0.201135i | ||||
\(41\) | 2.51379i | 0.392588i | 0.980545 | + | 0.196294i | \(0.0628907\pi\) | ||||
−0.980545 | + | 0.196294i | \(0.937109\pi\) | |||||||
\(42\) | 3.48026 | + | 2.98124i | 0.537016 | + | 0.460015i | ||||
\(43\) | 3.31665 | 0.505784 | 0.252892 | − | 0.967494i | \(-0.418618\pi\) | ||||
0.252892 | + | 0.967494i | \(0.418618\pi\) | |||||||
\(44\) | 2.05512 | + | 3.55958i | 0.309821 | + | 0.536626i | ||||
\(45\) | −7.46531 | + | 1.58890i | −1.11286 | + | 0.236860i | ||||
\(46\) | 1.13269 | + | 0.653959i | 0.167006 | + | 0.0964211i | ||||
\(47\) | −3.68624 | + | 2.12825i | −0.537693 | + | 0.310437i | −0.744143 | − | 0.668020i | \(-0.767142\pi\) |
0.206451 | + | 0.978457i | \(0.433809\pi\) | |||||||
\(48\) | 0.620929 | + | 1.61693i | 0.0896234 | + | 0.233383i | ||||
\(49\) | 3.83121 | − | 5.85849i | 0.547315 | − | 0.836927i | ||||
\(50\) | 1.47283 | 0.208290 | ||||||||
\(51\) | −6.21399 | + | 7.67576i | −0.870133 | + | 1.07482i | ||||
\(52\) | −2.71872 | − | 2.36824i | −0.377019 | − | 0.328416i | ||||
\(53\) | −4.39543 | − | 2.53770i | −0.603758 | − | 0.348580i | 0.166760 | − | 0.985997i | \(-0.446669\pi\) |
−0.770519 | + | 0.637417i | \(0.780003\pi\) | |||||||
\(54\) | −0.274044 | − | 5.18892i | −0.0372927 | − | 0.706123i | ||||
\(55\) | 10.4572i | 1.41005i | ||||||||
\(56\) | 2.32714 | − | 1.25873i | 0.310978 | − | 0.168205i | ||||
\(57\) | 5.24882 | + | 13.6681i | 0.695223 | + | 1.81039i | ||||
\(58\) | 5.24975 | − | 3.03094i | 0.689326 | − | 0.397982i | ||||
\(59\) | −1.68327 | − | 0.971837i | −0.219143 | − | 0.126522i | 0.386410 | − | 0.922327i | \(-0.373715\pi\) |
−0.605554 | + | 0.795805i | \(0.707048\pi\) | |||||||
\(60\) | −0.688764 | + | 4.35248i | −0.0889191 | + | 0.561903i | ||||
\(61\) | −3.15576 | + | 1.82198i | −0.404054 | + | 0.233281i | −0.688232 | − | 0.725491i | \(-0.741613\pi\) |
0.284178 | + | 0.958772i | \(0.408279\pi\) | |||||||
\(62\) | 0.00263100 | 0.000334138 | ||||||||
\(63\) | −7.80626 | + | 1.43609i | −0.983496 | + | 0.180930i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −2.97761 | − | 8.67644i | −0.369327 | − | 1.07618i | ||||
\(66\) | −7.03165 | − | 1.11273i | −0.865537 | − | 0.136968i | ||||
\(67\) | 2.80901 | + | 1.62178i | 0.343175 | + | 0.198132i | 0.661675 | − | 0.749791i | \(-0.269846\pi\) |
−0.318500 | + | 0.947923i | \(0.603179\pi\) | |||||||
\(68\) | 2.85089 | + | 4.93789i | 0.345721 | + | 0.598807i | ||||
\(69\) | −2.11481 | + | 0.812125i | −0.254593 | + | 0.0977684i | ||||
\(70\) | 6.72866 | + | 0.186950i | 0.804229 | + | 0.0223448i | ||||
\(71\) | 6.68865 | 0.793797 | 0.396899 | − | 0.917862i | \(-0.370086\pi\) | ||||
0.396899 | + | 0.917862i | \(0.370086\pi\) | |||||||
\(72\) | −2.85342 | − | 0.926282i | −0.336279 | − | 0.109163i | ||||
\(73\) | 1.31969 | − | 2.28578i | 0.154458 | − | 0.267530i | −0.778403 | − | 0.627765i | \(-0.783970\pi\) |
0.932862 | + | 0.360235i | \(0.117303\pi\) | |||||||
\(74\) | −6.13142 | − | 3.53998i | −0.712763 | − | 0.411514i | ||||
\(75\) | −1.60514 | + | 1.98273i | −0.185346 | + | 0.228946i | ||||
\(76\) | 8.45317 | 0.969645 | ||||||||
\(77\) | −0.302028 | + | 10.8705i | −0.0344192 | + | 1.23881i | ||||
\(78\) | 6.15108 | − | 1.07897i | 0.696473 | − | 0.122169i | ||||
\(79\) | −7.07859 | − | 12.2605i | −0.796404 | − | 1.37941i | −0.921944 | − | 0.387323i | \(-0.873400\pi\) |
0.125540 | − | 0.992088i | \(-0.459934\pi\) | |||||||
\(80\) | 2.20332 | + | 1.27209i | 0.246339 | + | 0.142224i | ||||
\(81\) | 7.28400 | + | 5.28614i | 0.809334 | + | 0.587349i | ||||
\(82\) | −2.17701 | + | 1.25689i | −0.240410 | + | 0.138801i | ||||
\(83\) | − | 11.1300i | − | 1.22168i | −0.791755 | − | 0.610839i | \(-0.790832\pi\) | ||
0.791755 | − | 0.610839i | \(-0.209168\pi\) | |||||||
\(84\) | −0.841696 | + | 4.50461i | −0.0918366 | + | 0.491494i | ||||
\(85\) | 14.5063i | 1.57343i | ||||||||
\(86\) | 1.65832 | + | 2.87230i | 0.178822 | + | 0.309728i | ||||
\(87\) | −1.64109 | + | 10.3705i | −0.175943 | + | 1.11183i | ||||
\(88\) | −2.05512 | + | 3.55958i | −0.219077 | + | 0.379452i | ||||
\(89\) | −3.31853 | + | 1.91595i | −0.351763 | + | 0.203091i | −0.665462 | − | 0.746432i | \(-0.731765\pi\) |
0.313698 | + | 0.949523i | \(0.398432\pi\) | |||||||
\(90\) | −5.10869 | − | 5.67070i | −0.538503 | − | 0.597744i | ||||
\(91\) | −2.84470 | − | 9.10537i | −0.298205 | − | 0.954502i | ||||
\(92\) | 1.30792i | 0.136360i | ||||||||
\(93\) | −0.00286736 | + | 0.00354187i | −0.000297331 | + | 0.000367274i | ||||
\(94\) | −3.68624 | − | 2.12825i | −0.380206 | − | 0.219512i | ||||
\(95\) | 18.6250 | + | 10.7532i | 1.91089 | + | 1.10325i | ||||
\(96\) | −1.08983 | + | 1.34620i | −0.111231 | + | 0.137396i | ||||
\(97\) | −3.91287 | −0.397292 | −0.198646 | − | 0.980071i | \(-0.563654\pi\) | ||||
−0.198646 | + | 0.980071i | \(0.563654\pi\) | |||||||
\(98\) | 6.98920 | + | 0.388679i | 0.706016 | + | 0.0392625i | ||||
\(99\) | 9.16129 | − | 8.25334i | 0.920745 | − | 0.829492i | ||||
\(100\) | 0.736416 | + | 1.27551i | 0.0736416 | + | 0.127551i | ||||
\(101\) | −7.74790 | + | 13.4198i | −0.770945 | + | 1.33532i | 0.166100 | + | 0.986109i | \(0.446883\pi\) |
−0.937045 | + | 0.349208i | \(0.886451\pi\) | |||||||
\(102\) | −9.75440 | − | 1.54360i | −0.965829 | − | 0.152839i | ||||
\(103\) | −11.5111 | + | 6.64596i | −1.13423 | + | 0.654846i | −0.944994 | − | 0.327087i | \(-0.893933\pi\) |
−0.189231 | + | 0.981933i | \(0.560600\pi\) | |||||||
\(104\) | 0.691594 | − | 3.53860i | 0.0678164 | − | 0.346988i | ||||
\(105\) | −7.58479 | + | 8.85440i | −0.740200 | + | 0.864101i | ||||
\(106\) | − | 5.07540i | − | 0.492967i | ||||||
\(107\) | 12.3570 | − | 7.13432i | 1.19460 | − | 0.689701i | 0.235251 | − | 0.971935i | \(-0.424409\pi\) |
0.959346 | + | 0.282234i | \(0.0910754\pi\) | |||||||
\(108\) | 4.35672 | − | 2.83179i | 0.419225 | − | 0.272489i | ||||
\(109\) | −9.22052 | − | 5.32347i | −0.883166 | − | 0.509896i | −0.0114648 | − | 0.999934i | \(-0.503649\pi\) |
−0.871701 | + | 0.490038i | \(0.836983\pi\) | |||||||
\(110\) | −9.05619 | + | 5.22859i | −0.863474 | + | 0.498527i | ||||
\(111\) | 11.4478 | − | 4.39615i | 1.08657 | − | 0.417264i | ||||
\(112\) | 2.25366 | + | 1.38600i | 0.212951 | + | 0.130965i | ||||
\(113\) | − | 0.854272i | − | 0.0803632i | −0.999192 | − | 0.0401816i | \(-0.987206\pi\) | ||
0.999192 | − | 0.0401816i | \(-0.0127936\pi\) | |||||||
\(114\) | −9.21254 | + | 11.3797i | −0.862834 | + | 1.06580i | ||||
\(115\) | −1.66379 | + | 2.88177i | −0.155149 | + | 0.268726i | ||||
\(116\) | 5.24975 | + | 3.03094i | 0.487427 | + | 0.281416i | ||||
\(117\) | −5.25115 | + | 9.45650i | −0.485469 | + | 0.874254i | ||||
\(118\) | − | 1.94367i | − | 0.178930i | ||||||
\(119\) | −0.418977 | + | 15.0797i | −0.0384075 | + | 1.38235i | ||||
\(120\) | −4.11374 | + | 1.57975i | −0.375532 | + | 0.144211i | ||||
\(121\) | −2.94705 | − | 5.10444i | −0.267914 | − | 0.464040i | ||||
\(122\) | −3.15576 | − | 1.82198i | −0.285709 | − | 0.164954i | ||||
\(123\) | 0.680538 | − | 4.30050i | 0.0613620 | − | 0.387763i | ||||
\(124\) | 0.00131550 | + | 0.00227852i | 0.000118136 | + | 0.000204617i | ||||
\(125\) | − | 8.97374i | − | 0.802635i | ||||||
\(126\) | −5.14682 | − | 6.04237i | −0.458515 | − | 0.538297i | ||||
\(127\) | −12.0715 | −1.07117 | −0.535584 | − | 0.844482i | \(-0.679908\pi\) | ||||
−0.535584 | + | 0.844482i | \(0.679908\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | −5.67400 | − | 0.897889i | −0.499568 | − | 0.0790547i | ||||
\(130\) | 6.02522 | − | 6.91691i | 0.528446 | − | 0.606653i | ||||
\(131\) | −8.61673 | − | 14.9246i | −0.752847 | − | 1.30397i | −0.946438 | − | 0.322887i | \(-0.895347\pi\) |
0.193591 | − | 0.981082i | \(-0.437987\pi\) | |||||||
\(132\) | −2.55217 | − | 6.64596i | −0.222138 | − | 0.578456i | ||||
\(133\) | 19.0506 | + | 11.7161i | 1.65190 | + | 1.01592i | ||||
\(134\) | 3.24356i | 0.280201i | ||||||||
\(135\) | 13.2015 | − | 0.697216i | 1.13621 | − | 0.0600068i | ||||
\(136\) | −2.85089 | + | 4.93789i | −0.244462 | + | 0.423421i | ||||
\(137\) | −6.52427 | + | 11.3004i | −0.557406 | + | 0.965456i | 0.440306 | + | 0.897848i | \(0.354870\pi\) |
−0.997712 | + | 0.0676081i | \(0.978463\pi\) | |||||||
\(138\) | −1.76072 | − | 1.42541i | −0.149883 | − | 0.121339i | ||||
\(139\) | 0.623348i | 0.0528717i | 0.999651 | + | 0.0264359i | \(0.00841577\pi\) | ||||
−0.999651 | + | 0.0264359i | \(0.991584\pi\) | |||||||
\(140\) | 3.20243 | + | 5.92067i | 0.270654 | + | 0.500388i | ||||
\(141\) | 6.88244 | − | 2.64299i | 0.579606 | − | 0.222580i | ||||
\(142\) | 3.34433 | + | 5.79254i | 0.280650 | + | 0.486099i | ||||
\(143\) | 11.1746 | + | 9.73404i | 0.934468 | + | 0.814001i | ||||
\(144\) | −0.624526 | − | 2.93427i | −0.0520438 | − | 0.244523i | ||||
\(145\) | 7.71125 | + | 13.3563i | 0.640385 | + | 1.10918i | ||||
\(146\) | 2.63939 | 0.218437 | ||||||||
\(147\) | −8.14031 | + | 8.98529i | −0.671401 | + | 0.741094i | ||||
\(148\) | − | 7.07996i | − | 0.581969i | ||||||
\(149\) | −0.986187 | − | 1.70813i | −0.0807916 | − | 0.139935i | 0.822799 | − | 0.568333i | \(-0.192411\pi\) |
−0.903590 | + | 0.428398i | \(0.859078\pi\) | |||||||
\(150\) | −2.51967 | − | 0.398728i | −0.205730 | − | 0.0325560i | ||||
\(151\) | −8.14145 | − | 4.70047i | −0.662542 | − | 0.382519i | 0.130703 | − | 0.991422i | \(-0.458277\pi\) |
−0.793245 | + | 0.608903i | \(0.791610\pi\) | |||||||
\(152\) | 4.22658 | + | 7.32066i | 0.342821 | + | 0.593784i | ||||
\(153\) | 12.7087 | − | 11.4491i | 1.02743 | − | 0.925608i | ||||
\(154\) | −9.56513 | + | 5.17368i | −0.770780 | + | 0.416907i | ||||
\(155\) | 0.00669374i | 0.000537654i | ||||||||
\(156\) | 4.00995 | + | 4.78751i | 0.321053 | + | 0.383308i | ||||
\(157\) | 6.32327 | + | 3.65074i | 0.504652 | + | 0.291361i | 0.730633 | − | 0.682771i | \(-0.239225\pi\) |
−0.225980 | + | 0.974132i | \(0.572559\pi\) | |||||||
\(158\) | 7.07859 | − | 12.2605i | 0.563142 | − | 0.975391i | ||||
\(159\) | 6.83252 | + | 5.53134i | 0.541854 | + | 0.438664i | ||||
\(160\) | 2.54418i | 0.201135i | ||||||||
\(161\) | −1.81278 | + | 2.94761i | −0.142867 | + | 0.232304i | ||||
\(162\) | −0.935930 | + | 8.95120i | −0.0735336 | + | 0.703273i | ||||
\(163\) | −13.1037 | + | 7.56540i | −1.02636 | + | 0.592568i | −0.915939 | − | 0.401317i | \(-0.868552\pi\) |
−0.110418 | + | 0.993885i | \(0.535219\pi\) | |||||||
\(164\) | −2.17701 | − | 1.25689i | −0.169996 | − | 0.0981470i | ||||
\(165\) | 2.83099 | − | 17.8898i | 0.220392 | − | 1.39272i | ||||
\(166\) | 9.63888 | − | 5.56501i | 0.748122 | − | 0.431929i | ||||
\(167\) | − | 24.2735i | − | 1.87834i | −0.343458 | − | 0.939168i | \(-0.611598\pi\) | ||
0.343458 | − | 0.939168i | \(-0.388402\pi\) | |||||||
\(168\) | −4.32196 | + | 1.52338i | −0.333446 | + | 0.117531i | ||||
\(169\) | −12.0434 | − | 4.89455i | −0.926415 | − | 0.376504i | ||||
\(170\) | −12.5629 | + | 7.25317i | −0.963527 | + | 0.556293i | ||||
\(171\) | −5.27922 | − | 24.8039i | −0.403712 | − | 1.89680i | ||||
\(172\) | −1.65832 | + | 2.87230i | −0.126446 | + | 0.219011i | ||||
\(173\) | −0.204681 | − | 0.354517i | −0.0155616 | − | 0.0269535i | 0.858140 | − | 0.513416i | \(-0.171620\pi\) |
−0.873701 | + | 0.486463i | \(0.838287\pi\) | |||||||
\(174\) | −9.80162 | + | 3.76400i | −0.743059 | + | 0.285348i | ||||
\(175\) | −0.108226 | + | 3.89524i | −0.00818113 | + | 0.294453i | ||||
\(176\) | −4.11024 | −0.309821 | ||||||||
\(177\) | 2.61658 | + | 2.11828i | 0.196674 | + | 0.159220i | ||||
\(178\) | −3.31853 | − | 1.91595i | −0.248734 | − | 0.143607i | ||||
\(179\) | −20.4933 | − | 11.8318i | −1.53174 | − | 0.884352i | −0.999282 | − | 0.0378964i | \(-0.987934\pi\) |
−0.532460 | − | 0.846455i | \(-0.678732\pi\) | |||||||
\(180\) | 2.35662 | − | 7.25960i | 0.175652 | − | 0.541099i | ||||
\(181\) | − | 14.2247i | − | 1.05732i | −0.848835 | − | 0.528658i | \(-0.822696\pi\) | ||
0.848835 | − | 0.528658i | \(-0.177304\pi\) | |||||||
\(182\) | 6.46313 | − | 7.01626i | 0.479079 | − | 0.520080i | ||||
\(183\) | 5.89201 | − | 2.26264i | 0.435550 | − | 0.167259i | ||||
\(184\) | −1.13269 | + | 0.653959i | −0.0835031 | + | 0.0482105i | ||||
\(185\) | 9.00633 | − | 15.5994i | 0.662158 | − | 1.14689i | ||||
\(186\) | −0.00450102 | 0.000712270i | −0.000330031 | 5.22262e-5i | ||||||
\(187\) | −11.7179 | − | 20.2959i | −0.856895 | − | 1.48419i | ||||
\(188\) | − | 4.25650i | − | 0.310437i | ||||||
\(189\) | 13.7434 | − | 0.343482i | 0.999688 | − | 0.0249846i | ||||
\(190\) | 21.5063i | 1.56023i | ||||||||
\(191\) | −13.8603 | + | 8.00228i | −1.00290 | + | 0.579024i | −0.909105 | − | 0.416567i | \(-0.863233\pi\) |
−0.0937947 | + | 0.995592i | \(0.529900\pi\) | |||||||
\(192\) | −1.71076 | − | 0.270722i | −0.123464 | − | 0.0195377i | ||||
\(193\) | 14.6848 | + | 8.47830i | 1.05704 | + | 0.610281i | 0.924611 | − | 0.380912i | \(-0.124390\pi\) |
0.132427 | + | 0.991193i | \(0.457723\pi\) | |||||||
\(194\) | −1.95644 | − | 3.38865i | −0.140464 | − | 0.243291i | ||||
\(195\) | 2.74508 | + | 15.6494i | 0.196579 | + | 1.12068i | ||||
\(196\) | 3.15799 | + | 6.24716i | 0.225571 | + | 0.446226i | ||||
\(197\) | 2.56563 | 0.182794 | 0.0913969 | − | 0.995815i | \(-0.470867\pi\) | ||||
0.0913969 | + | 0.995815i | \(0.470867\pi\) | |||||||
\(198\) | 11.7282 | + | 3.80724i | 0.833490 | + | 0.270569i | ||||
\(199\) | 18.7467 | + | 10.8234i | 1.32892 | + | 0.767249i | 0.985132 | − | 0.171800i | \(-0.0549582\pi\) |
0.343783 | + | 0.939049i | \(0.388292\pi\) | |||||||
\(200\) | −0.736416 | + | 1.27551i | −0.0520725 | + | 0.0901922i | ||||
\(201\) | −4.36649 | − | 3.53494i | −0.307988 | − | 0.249335i | ||||
\(202\) | −15.4958 | −1.09028 | ||||||||
\(203\) | 7.63027 | + | 14.1069i | 0.535540 | + | 0.990110i | ||||
\(204\) | −3.54041 | − | 9.21936i | −0.247878 | − | 0.645484i | ||||
\(205\) | −3.19776 | − | 5.53868i | −0.223341 | − | 0.386839i | ||||
\(206\) | −11.5111 | − | 6.64596i | −0.802019 | − | 0.463046i | ||||
\(207\) | 3.83779 | − | 0.816830i | 0.266745 | − | 0.0567736i | ||||
\(208\) | 3.41032 | − | 1.17036i | 0.236463 | − | 0.0811500i | ||||
\(209\) | −34.7446 | −2.40333 | ||||||||
\(210\) | −11.4605 | − | 2.14142i | −0.790852 | − | 0.147772i | ||||
\(211\) | −7.00715 | −0.482392 | −0.241196 | − | 0.970476i | \(-0.577540\pi\) | ||||
−0.241196 | + | 0.970476i | \(0.577540\pi\) | |||||||
\(212\) | 4.39543 | − | 2.53770i | 0.301879 | − | 0.174290i | ||||
\(213\) | −11.4427 | − | 1.81076i | −0.784041 | − | 0.124072i | ||||
\(214\) | 12.3570 | + | 7.13432i | 0.844707 | + | 0.487692i | ||||
\(215\) | −7.30764 | + | 4.21907i | −0.498377 | + | 0.287738i | ||||
\(216\) | 4.63076 | + | 2.35713i | 0.315083 | + | 0.160382i | ||||
\(217\) | −0.000193331 | 0.00695830i | −1.31241e−5 | 0.000472360i | ||||||
\(218\) | − | 10.6469i | − | 0.721102i | ||||||
\(219\) | −2.87649 | + | 3.55315i | −0.194375 | + | 0.240100i | ||||
\(220\) | −9.05619 | − | 5.22859i | −0.610568 | − | 0.352512i | ||||
\(221\) | 15.5016 | + | 13.5032i | 1.04275 | + | 0.908322i | ||||
\(222\) | 9.53106 | + | 7.71597i | 0.639683 | + | 0.517862i | ||||
\(223\) | 21.1582 | 1.41686 | 0.708429 | − | 0.705782i | \(-0.249404\pi\) | ||||
0.708429 | + | 0.705782i | \(0.249404\pi\) | |||||||
\(224\) | −0.0734817 | + | 2.64473i | −0.00490970 | + | 0.176709i | ||||
\(225\) | 3.28279 | − | 2.95744i | 0.218852 | − | 0.197162i | ||||
\(226\) | 0.739822 | − | 0.427136i | 0.0492122 | − | 0.0284127i | ||||
\(227\) | 11.6624 | + | 6.73328i | 0.774059 | + | 0.446903i | 0.834321 | − | 0.551279i | \(-0.185860\pi\) |
−0.0602614 | + | 0.998183i | \(0.519193\pi\) | |||||||
\(228\) | −14.4614 | − | 2.28846i | −0.957727 | − | 0.151557i | ||||
\(229\) | 1.12680 | + | 1.95167i | 0.0744607 | + | 0.128970i | 0.900852 | − | 0.434127i | \(-0.142943\pi\) |
−0.826391 | + | 0.563097i | \(0.809610\pi\) | |||||||
\(230\) | −3.32758 | −0.219414 | ||||||||
\(231\) | 3.45958 | − | 18.5151i | 0.227623 | − | 1.21820i | ||||
\(232\) | 6.06189i | 0.397982i | ||||||||
\(233\) | 1.12902 | − | 0.651840i | 0.0739645 | − | 0.0427034i | −0.462562 | − | 0.886587i | \(-0.653070\pi\) |
0.536526 | + | 0.843884i | \(0.319736\pi\) | |||||||
\(234\) | −10.8151 | + | 0.180622i | −0.707008 | + | 0.0118076i | ||||
\(235\) | 5.41464 | − | 9.37843i | 0.353212 | − | 0.611782i | ||||
\(236\) | 1.68327 | − | 0.971837i | 0.109572 | − | 0.0632612i | ||||
\(237\) | 8.79061 | + | 22.8911i | 0.571012 | + | 1.48694i | ||||
\(238\) | −13.2689 | + | 7.17700i | −0.860093 | + | 0.465216i | ||||
\(239\) | 3.50122 | 0.226475 | 0.113238 | − | 0.993568i | \(-0.463878\pi\) | ||||
0.113238 | + | 0.993568i | \(0.463878\pi\) | |||||||
\(240\) | −3.42498 | − | 2.77273i | −0.221081 | − | 0.178979i | ||||
\(241\) | 6.59729 | − | 11.4268i | 0.424969 | − | 0.736067i | −0.571449 | − | 0.820638i | \(-0.693618\pi\) |
0.996418 | + | 0.0845704i | \(0.0269518\pi\) | |||||||
\(242\) | 2.94705 | − | 5.10444i | 0.189444 | − | 0.328126i | ||||
\(243\) | −11.0301 | − | 11.0153i | −0.707583 | − | 0.706630i | ||||
\(244\) | − | 3.64396i | − | 0.233281i | ||||||
\(245\) | −0.988867 | + | 17.7818i | −0.0631764 | + | 1.13603i | ||||
\(246\) | 4.06461 | − | 1.56089i | 0.259150 | − | 0.0995184i | ||||
\(247\) | 28.8280 | − | 9.89327i | 1.83428 | − | 0.629494i | ||||
\(248\) | −0.00131550 | + | 0.00227852i | −8.35345e−5 | + | 0.000144686i | ||||
\(249\) | −3.01314 | + | 19.0408i | −0.190950 | + | 1.20666i | ||||
\(250\) | 7.77148 | − | 4.48687i | 0.491512 | − | 0.283774i | ||||
\(251\) | 28.4357 | 1.79485 | 0.897424 | − | 0.441169i | \(-0.145436\pi\) | ||||
0.897424 | + | 0.441169i | \(0.145436\pi\) | |||||||
\(252\) | 2.65944 | − | 7.47846i | 0.167529 | − | 0.471099i | ||||
\(253\) | − | 5.37586i | − | 0.337978i | ||||||
\(254\) | −6.03573 | − | 10.4542i | −0.378715 | − | 0.655954i | ||||
\(255\) | 3.92718 | − | 24.8169i | 0.245930 | − | 1.55410i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 9.54939 | + | 16.5400i | 0.595675 | + | 1.03174i | 0.993451 | + | 0.114257i | \(0.0364486\pi\) |
−0.397776 | + | 0.917482i | \(0.630218\pi\) | |||||||
\(258\) | −2.05940 | − | 5.36277i | −0.128213 | − | 0.333872i | ||||
\(259\) | 9.81284 | − | 15.9558i | 0.609740 | − | 0.991448i | ||||
\(260\) | 9.00282 | + | 1.75954i | 0.558331 | + | 0.109122i | ||||
\(261\) | 5.61502 | − | 17.2971i | 0.347561 | − | 1.07066i | ||||
\(262\) | 8.61673 | − | 14.9246i | 0.532343 | − | 0.922045i | ||||
\(263\) | −4.49853 | − | 2.59723i | −0.277391 | − | 0.160152i | 0.354851 | − | 0.934923i | \(-0.384532\pi\) |
−0.632242 | + | 0.774771i | \(0.717865\pi\) | |||||||
\(264\) | 4.47948 | − | 5.53322i | 0.275693 | − | 0.340546i | ||||
\(265\) | 12.9127 | 0.793222 | ||||||||
\(266\) | −0.621153 | + | 22.3564i | −0.0380853 | + | 1.37076i | ||||
\(267\) | 6.19590 | − | 2.37934i | 0.379183 | − | 0.145613i | ||||
\(268\) | −2.80901 | + | 1.62178i | −0.171587 | + | 0.0990660i | ||||
\(269\) | −3.10207 | + | 5.37294i | −0.189136 | + | 0.327594i | −0.944963 | − | 0.327179i | \(-0.893902\pi\) |
0.755826 | + | 0.654772i | \(0.227235\pi\) | |||||||
\(270\) | 7.20457 | + | 11.0843i | 0.438456 | + | 0.674566i | ||||
\(271\) | 12.8489 | + | 22.2550i | 0.780518 | + | 1.35190i | 0.931640 | + | 0.363382i | \(0.118378\pi\) |
−0.151123 | + | 0.988515i | \(0.548289\pi\) | |||||||
\(272\) | −5.70178 | −0.345721 | ||||||||
\(273\) | 2.40158 | + | 16.3472i | 0.145350 | + | 0.989380i | ||||
\(274\) | −13.0485 | −0.788292 | ||||||||
\(275\) | −3.02685 | − | 5.24266i | −0.182526 | − | 0.316144i | ||||
\(276\) | 0.354082 | − | 2.23754i | 0.0213132 | − | 0.134684i | ||||
\(277\) | −12.1581 | + | 21.0584i | −0.730507 | + | 1.26528i | 0.226159 | + | 0.974090i | \(0.427383\pi\) |
−0.956667 | + | 0.291186i | \(0.905950\pi\) | |||||||
\(278\) | −0.539835 | + | 0.311674i | −0.0323772 | + | 0.0186930i | ||||
\(279\) | 0.00586423 | − | 0.00528304i | 0.000351082 | − | 0.000316287i | ||||
\(280\) | −3.52623 | + | 5.73372i | −0.210733 | + | 0.342655i | ||||
\(281\) | 22.7215 | 1.35545 | 0.677724 | − | 0.735316i | \(-0.262966\pi\) | ||||
0.677724 | + | 0.735316i | \(0.262966\pi\) | |||||||
\(282\) | 5.73011 | + | 4.63887i | 0.341223 | + | 0.276241i | ||||
\(283\) | 16.6217 | + | 9.59655i | 0.988059 | + | 0.570456i | 0.904693 | − | 0.426063i | \(-0.140100\pi\) |
0.0833652 | + | 0.996519i | \(0.473433\pi\) | |||||||
\(284\) | −3.34433 | + | 5.79254i | −0.198449 | + | 0.343724i | ||||
\(285\) | −28.9519 | − | 23.4383i | −1.71496 | − | 1.38837i | ||||
\(286\) | −2.84262 | + | 14.5445i | −0.168088 | + | 0.860035i | ||||
\(287\) | −3.16418 | − | 5.84995i | −0.186775 | − | 0.345312i | ||||
\(288\) | 2.22889 | − | 2.00799i | 0.131339 | − | 0.118322i | ||||
\(289\) | −7.75517 | − | 13.4323i | −0.456186 | − | 0.790138i | ||||
\(290\) | −7.71125 | + | 13.3563i | −0.452820 | + | 0.784308i | ||||
\(291\) | 6.69399 | + | 1.05930i | 0.392409 | + | 0.0620972i | ||||
\(292\) | 1.31969 | + | 2.28578i | 0.0772292 | + | 0.133765i | ||||
\(293\) | − | 11.7362i | − | 0.685634i | −0.939402 | − | 0.342817i | \(-0.888619\pi\) | ||
0.939402 | − | 0.342817i | \(-0.111381\pi\) | |||||||
\(294\) | −11.8516 | − | 2.55707i | −0.691202 | − | 0.149131i | ||||
\(295\) | 4.94505 | 0.287912 | ||||||||
\(296\) | 6.13142 | − | 3.53998i | 0.356382 | − | 0.205757i | ||||
\(297\) | −17.9072 | + | 11.6393i | −1.03908 | + | 0.675383i | ||||
\(298\) | 0.986187 | − | 1.70813i | 0.0571283 | − | 0.0989491i | ||||
\(299\) | 1.53074 | + | 4.46042i | 0.0885249 | + | 0.257952i | ||||
\(300\) | −0.914525 | − | 2.38146i | −0.0528001 | − | 0.137494i | ||||
\(301\) | −7.71832 | + | 4.17476i | −0.444877 | + | 0.240629i | ||||
\(302\) | − | 9.40094i | − | 0.540963i | ||||||
\(303\) | 16.8879 | − | 20.8605i | 0.970182 | − | 1.19840i | ||||
\(304\) | −4.22658 | + | 7.32066i | −0.242411 | + | 0.419869i | ||||
\(305\) | 4.63544 | − | 8.02882i | 0.265425 | − | 0.459729i | ||||
\(306\) | 16.2696 | + | 5.28146i | 0.930070 | + | 0.301921i | ||||
\(307\) | −27.2408 | −1.55471 | −0.777357 | − | 0.629060i | \(-0.783440\pi\) | ||||
−0.777357 | + | 0.629060i | \(0.783440\pi\) | |||||||
\(308\) | −9.26310 | − | 5.69681i | −0.527814 | − | 0.324606i | ||||
\(309\) | 21.4920 | − | 8.25334i | 1.22264 | − | 0.469516i | ||||
\(310\) | −0.00579695 | + | 0.00334687i | −0.000329245 | + | 0.000190089i | ||||
\(311\) | −1.45991 | + | 2.52863i | −0.0827837 | + | 0.143386i | −0.904445 | − | 0.426591i | \(-0.859714\pi\) |
0.821661 | + | 0.569977i | \(0.193048\pi\) | |||||||
\(312\) | −2.14113 | + | 5.86648i | −0.121218 | + | 0.332124i | ||||
\(313\) | 5.81374 | − | 3.35656i | 0.328612 | − | 0.189724i | −0.326613 | − | 0.945158i | \(-0.605907\pi\) |
0.655225 | + | 0.755434i | \(0.272574\pi\) | |||||||
\(314\) | 7.30149i | 0.412047i | ||||||||
\(315\) | 15.3729 | − | 13.0944i | 0.866163 | − | 0.737786i | ||||
\(316\) | 14.1572 | 0.796404 | ||||||||
\(317\) | −7.72251 | − | 13.3758i | −0.433740 | − | 0.751259i | 0.563452 | − | 0.826149i | \(-0.309473\pi\) |
−0.997192 | + | 0.0748897i | \(0.976140\pi\) | |||||||
\(318\) | −1.37402 | + | 8.68281i | −0.0770514 | + | 0.486908i | ||||
\(319\) | −21.5777 | − | 12.4579i | −1.20812 | − | 0.697509i | ||||
\(320\) | −2.20332 | + | 1.27209i | −0.123169 | + | 0.0711119i | ||||
\(321\) | −23.0713 | + | 8.85982i | −1.28772 | + | 0.494507i | ||||
\(322\) | −3.45909 | − | 0.0961081i | −0.192768 | − | 0.00535589i | ||||
\(323\) | −48.1981 | −2.68182 | ||||||||
\(324\) | −8.21993 | + | 3.66506i | −0.456663 | + | 0.203615i | ||||
\(325\) | 4.00422 | + | 3.48802i | 0.222114 | + | 0.193480i | ||||
\(326\) | −13.1037 | − | 7.56540i | −0.725744 | − | 0.419009i | ||||
\(327\) | 14.3329 | + | 11.6034i | 0.792614 | + | 0.641669i | ||||
\(328\) | − | 2.51379i | − | 0.138801i | ||||||
\(329\) | 5.89952 | − | 9.59271i | 0.325251 | − | 0.528863i | ||||
\(330\) | 16.9085 | − | 6.49317i | 0.930781 | − | 0.357437i | ||||
\(331\) | 4.14357 | − | 2.39229i | 0.227751 | − | 0.131492i | −0.381783 | − | 0.924252i | \(-0.624690\pi\) |
0.609534 | + | 0.792760i | \(0.291357\pi\) | |||||||
\(332\) | 9.63888 | + | 5.56501i | 0.529002 | + | 0.305420i | ||||
\(333\) | −20.7745 | + | 4.42162i | −1.13844 | + | 0.242303i | ||||
\(334\) | 21.0214 | − | 12.1367i | 1.15024 | − | 0.664092i | ||||
\(335\) | −8.25219 | −0.450865 | ||||||||
\(336\) | −3.48026 | − | 2.98124i | −0.189864 | − | 0.162640i | ||||
\(337\) | 26.6494 | 1.45169 | 0.725843 | − | 0.687860i | \(-0.241450\pi\) | ||||
0.725843 | + | 0.687860i | \(0.241450\pi\) | |||||||
\(338\) | −1.78289 | − | 12.8772i | −0.0969765 | − | 0.700425i | ||||
\(339\) | −0.231270 | + | 1.46146i | −0.0125609 | + | 0.0793755i | ||||
\(340\) | −12.5629 | − | 7.25317i | −0.681317 | − | 0.393358i | ||||
\(341\) | −0.00540703 | − | 0.00936526i | −0.000292807 | − | 0.000507157i | ||||
\(342\) | 18.8412 | − | 16.9739i | 1.01882 | − | 0.917843i | ||||
\(343\) | −1.54153 | + | 18.4560i | −0.0832347 | + | 0.996530i | ||||
\(344\) | −3.31665 | −0.178822 | ||||||||
\(345\) | 3.62650 | − | 4.47959i | 0.195244 | − | 0.241173i | ||||
\(346\) | 0.204681 | − | 0.354517i | 0.0110037 | − | 0.0190590i | ||||
\(347\) | 5.45892 | + | 3.15171i | 0.293050 | + | 0.169193i | 0.639317 | − | 0.768944i | \(-0.279217\pi\) |
−0.346266 | + | 0.938136i | \(0.612551\pi\) | |||||||
\(348\) | −8.16053 | − | 6.60645i | −0.437450 | − | 0.354143i | ||||
\(349\) | 9.52826 | 0.510036 | 0.255018 | − | 0.966936i | \(-0.417919\pi\) | ||||
0.255018 | + | 0.966936i | \(0.417919\pi\) | |||||||
\(350\) | −3.42749 | + | 1.85390i | −0.183207 | + | 0.0990949i | ||||
\(351\) | 11.5436 | − | 14.7562i | 0.616149 | − | 0.787629i | ||||
\(352\) | −2.05512 | − | 3.55958i | −0.109538 | − | 0.189726i | ||||
\(353\) | −14.3774 | − | 8.30082i | −0.765234 | − | 0.441808i | 0.0659376 | − | 0.997824i | \(-0.478996\pi\) |
−0.831172 | + | 0.556016i | \(0.812329\pi\) | |||||||
\(354\) | −0.526195 | + | 3.32517i | −0.0279670 | + | 0.176731i | ||||
\(355\) | −14.7373 | + | 8.50856i | −0.782172 | + | 0.451587i | ||||
\(356\) | − | 3.83190i | − | 0.203091i | ||||||
\(357\) | 4.79917 | − | 25.6843i | 0.253999 | − | 1.35936i | ||||
\(358\) | − | 23.6636i | − | 1.25066i | ||||||
\(359\) | −8.18866 | − | 14.1832i | −0.432181 | − | 0.748559i | 0.564880 | − | 0.825173i | \(-0.308922\pi\) |
−0.997061 | + | 0.0766138i | \(0.975589\pi\) | |||||||
\(360\) | 7.46531 | − | 1.58890i | 0.393456 | − | 0.0837426i | ||||
\(361\) | −26.2280 | + | 45.4283i | −1.38042 | + | 2.39096i | ||||
\(362\) | 12.3190 | − | 7.11236i | 0.647471 | − | 0.373817i | ||||
\(363\) | 3.65982 | + | 9.53032i | 0.192091 | + | 0.500212i | ||||
\(364\) | 9.30783 | + | 2.08910i | 0.487863 | + | 0.109499i | ||||
\(365\) | 6.71506i | 0.351482i | ||||||||
\(366\) | 4.90551 | + | 3.97131i | 0.256415 | + | 0.207584i | ||||
\(367\) | −26.9853 | − | 15.5800i | −1.40862 | − | 0.813269i | −0.413368 | − | 0.910564i | \(-0.635648\pi\) |
−0.995256 | + | 0.0972954i | \(0.968981\pi\) | |||||||
\(368\) | −1.13269 | − | 0.653959i | −0.0590456 | − | 0.0340900i | ||||
\(369\) | −2.32848 | + | 7.17289i | −0.121216 | + | 0.373406i | ||||
\(370\) | 18.0127 | 0.936434 | ||||||||
\(371\) | 13.4231 | + | 0.372949i | 0.696891 | + | 0.0193626i | ||||
\(372\) | −0.00163367 | − | 0.00425414i | −8.47018e−5 | − | 0.000220567i | ||||
\(373\) | −11.8848 | − | 20.5851i | −0.615372 | − | 1.06585i | −0.990319 | − | 0.138809i | \(-0.955673\pi\) |
0.374948 | − | 0.927046i | \(-0.377661\pi\) | |||||||
\(374\) | 11.7179 | − | 20.2959i | 0.605916 | − | 1.04948i | ||||
\(375\) | −2.42939 | + | 15.3519i | −0.125453 | + | 0.792771i | ||||
\(376\) | 3.68624 | − | 2.12825i | 0.190103 | − | 0.109756i | ||||
\(377\) | 21.4506 | + | 4.19237i | 1.10476 | + | 0.215918i | ||||
\(378\) | 7.16918 | + | 11.7304i | 0.368743 | + | 0.603348i | ||||
\(379\) | 5.87885i | 0.301976i | 0.988536 | + | 0.150988i | \(0.0482455\pi\) | ||||
−0.988536 | + | 0.150988i | \(0.951755\pi\) | |||||||
\(380\) | −18.6250 | + | 10.7532i | −0.955445 | + | 0.551626i | ||||
\(381\) | 20.6514 | + | 3.26801i | 1.05800 | + | 0.167425i | ||||
\(382\) | −13.8603 | − | 8.00228i | −0.709157 | − | 0.409432i | ||||
\(383\) | −12.8839 | + | 7.43851i | −0.658336 | + | 0.380090i | −0.791643 | − | 0.610985i | \(-0.790774\pi\) |
0.133307 | + | 0.991075i | \(0.457440\pi\) | |||||||
\(384\) | −0.620929 | − | 1.61693i | −0.0316867 | − | 0.0825134i | ||||
\(385\) | −13.1628 | − | 24.3354i | −0.670836 | − | 1.24025i | ||||
\(386\) | 16.9566i | 0.863068i | ||||||||
\(387\) | 9.46379 | + | 3.07215i | 0.481071 | + | 0.156166i | ||||
\(388\) | 1.95644 | − | 3.38865i | 0.0993229 | − | 0.172032i | ||||
\(389\) | −26.8563 | − | 15.5055i | −1.36167 | − | 0.786158i | −0.371821 | − | 0.928305i | \(-0.621266\pi\) |
−0.989846 | + | 0.142146i | \(0.954600\pi\) | |||||||
\(390\) | −12.1803 | + | 10.2020i | −0.616772 | + | 0.516600i | ||||
\(391\) | − | 7.45747i | − | 0.377140i | ||||||
\(392\) | −3.83121 | + | 5.85849i | −0.193505 | + | 0.295898i | ||||
\(393\) | 10.7008 | + | 27.8652i | 0.539782 | + | 1.40561i | ||||
\(394\) | 1.28282 | + | 2.22190i | 0.0646273 | + | 0.111938i | ||||
\(395\) | 31.1928 | + | 18.0092i | 1.56948 | + | 0.906140i | ||||
\(396\) | 2.56695 | + | 12.0606i | 0.128994 | + | 0.606067i | ||||
\(397\) | −7.10552 | − | 12.3071i | −0.356616 | − | 0.617677i | 0.630777 | − | 0.775964i | \(-0.282736\pi\) |
−0.987393 | + | 0.158287i | \(0.949403\pi\) | |||||||
\(398\) | 21.6468i | 1.08505i | ||||||||
\(399\) | −29.4192 | − | 25.2009i | −1.47280 | − | 1.26162i | ||||
\(400\) | −1.47283 | −0.0736416 | ||||||||
\(401\) | 19.1854 | + | 33.2301i | 0.958073 | + | 1.65943i | 0.727174 | + | 0.686453i | \(0.240833\pi\) |
0.230899 | + | 0.972978i | \(0.425833\pi\) | |||||||
\(402\) | 0.878102 | − | 5.54896i | 0.0437958 | − | 0.276757i | ||||
\(403\) | 0.00715297 | + | 0.00623085i | 0.000356315 | + | 0.000310381i | ||||
\(404\) | −7.74790 | − | 13.4198i | −0.385473 | − | 0.667658i | ||||
\(405\) | −22.7734 | − | 2.38117i | −1.13162 | − | 0.118321i | ||||
\(406\) | −8.40179 | + | 13.6615i | −0.416974 | + | 0.678006i | ||||
\(407\) | 29.1004i | 1.44245i | ||||||||
\(408\) | 6.21399 | − | 7.67576i | 0.307639 | − | 0.380007i | ||||
\(409\) | 2.09152 | − | 3.62262i | 0.103419 | − | 0.179127i | −0.809672 | − | 0.586882i | \(-0.800355\pi\) |
0.913091 | + | 0.407755i | \(0.133688\pi\) | |||||||
\(410\) | 3.19776 | − | 5.53868i | 0.157926 | − | 0.273536i | ||||
\(411\) | 14.2207 | − | 17.5660i | 0.701457 | − | 0.866467i | ||||
\(412\) | − | 13.2919i | − | 0.654846i | ||||||
\(413\) | 5.14050 | + | 0.142824i | 0.252947 | + | 0.00702793i | ||||
\(414\) | 2.62629 | + | 2.91521i | 0.129075 | + | 0.143275i | ||||
\(415\) | 14.1584 | + | 24.5230i | 0.695007 | + | 1.20379i | ||||
\(416\) | 2.71872 | + | 2.36824i | 0.133296 | + | 0.116112i | ||||
\(417\) | 0.168754 | − | 1.06640i | 0.00826392 | − | 0.0522219i | ||||
\(418\) | −17.3723 | − | 30.0897i | −0.849706 | − | 1.47173i | ||||
\(419\) | −24.4059 | −1.19231 | −0.596154 | − | 0.802870i | \(-0.703305\pi\) | ||||
−0.596154 | + | 0.802870i | \(0.703305\pi\) | |||||||
\(420\) | −3.87574 | − | 10.9958i | −0.189117 | − | 0.536541i | ||||
\(421\) | 7.06979i | 0.344560i | 0.985048 | + | 0.172280i | \(0.0551135\pi\) | ||||
−0.985048 | + | 0.172280i | \(0.944887\pi\) | |||||||
\(422\) | −3.50357 | − | 6.06837i | −0.170551 | − | 0.295404i | ||||
\(423\) | −12.4897 | + | 2.65829i | −0.607272 | + | 0.129251i | ||||
\(424\) | 4.39543 | + | 2.53770i | 0.213461 | + | 0.123242i | ||||
\(425\) | −4.19888 | − | 7.27268i | −0.203676 | − | 0.352777i | ||||
\(426\) | −4.15318 | − | 10.8151i | −0.201222 | − | 0.523991i | ||||
\(427\) | 5.05054 | − | 8.21226i | 0.244413 | − | 0.397419i | ||||
\(428\) | 14.2686i | 0.689701i | ||||||||
\(429\) | −16.4819 | − | 19.6778i | −0.795753 | − | 0.950055i | ||||
\(430\) | −7.30764 | − | 4.21907i | −0.352406 | − | 0.203462i | ||||
\(431\) | 1.83652 | − | 3.18094i | 0.0884620 | − | 0.153221i | −0.818399 | − | 0.574650i | \(-0.805138\pi\) |
0.906861 | + | 0.421429i | \(0.138471\pi\) | |||||||
\(432\) | 0.274044 | + | 5.18892i | 0.0131849 | + | 0.249652i | ||||
\(433\) | − | 30.9079i | − | 1.48534i | −0.669658 | − | 0.742669i | \(-0.733559\pi\) | ||
0.669658 | − | 0.742669i | \(-0.266441\pi\) | |||||||
\(434\) | −0.00612273 | + | 0.00331172i | −0.000293900 | + | 0.000158968i | ||||
\(435\) | −9.57629 | − | 24.9370i | −0.459148 | − | 1.19564i | ||||
\(436\) | 9.22052 | − | 5.32347i | 0.441583 | − | 0.254948i | ||||
\(437\) | −9.57483 | − | 5.52803i | −0.458026 | − | 0.264441i | ||||
\(438\) | −4.51536 | − | 0.714539i | −0.215752 | − | 0.0341420i | ||||
\(439\) | 31.8737 | − | 18.4023i | 1.52125 | − | 0.878294i | 0.521564 | − | 0.853212i | \(-0.325349\pi\) |
0.999685 | − | 0.0250815i | \(-0.00798452\pi\) | |||||||
\(440\) | − | 10.4572i | − | 0.498527i | ||||||
\(441\) | 16.3586 | − | 13.1679i | 0.778983 | − | 0.627045i | ||||
\(442\) | −3.94332 | + | 20.1763i | −0.187565 | + | 0.959690i | ||||
\(443\) | −31.8442 | + | 18.3852i | −1.51296 | + | 0.873509i | −0.513077 | + | 0.858342i | \(0.671495\pi\) |
−0.999885 | + | 0.0151669i | \(0.995172\pi\) | |||||||
\(444\) | −1.91670 | + | 12.1121i | −0.0909625 | + | 0.574816i | ||||
\(445\) | 4.87452 | − | 8.44292i | 0.231074 | − | 0.400233i | ||||
\(446\) | 10.5791 | + | 18.3235i | 0.500935 | + | 0.867645i | ||||
\(447\) | 1.22470 | + | 3.18918i | 0.0579265 | + | 0.150843i | ||||
\(448\) | −2.32714 | + | 1.25873i | −0.109947 | + | 0.0594693i | ||||
\(449\) | −3.94653 | −0.186248 | −0.0931240 | − | 0.995655i | \(-0.529685\pi\) | ||||
−0.0931240 | + | 0.995655i | \(0.529685\pi\) | |||||||
\(450\) | 4.20261 | + | 1.36426i | 0.198113 | + | 0.0643117i | ||||
\(451\) | 8.94802 | + | 5.16614i | 0.421346 | + | 0.243264i | ||||
\(452\) | 0.739822 | + | 0.427136i | 0.0347983 | + | 0.0200908i | ||||
\(453\) | 12.6556 | + | 10.2455i | 0.594611 | + | 0.481374i | ||||
\(454\) | 13.4666i | 0.632017i | ||||||||
\(455\) | 17.8506 | + | 16.4433i | 0.836850 | + | 0.770876i | ||||
\(456\) | −5.24882 | − | 13.6681i | −0.245799 | − | 0.640069i | ||||
\(457\) | −0.843279 | + | 0.486868i | −0.0394469 | + | 0.0227747i | −0.519594 | − | 0.854413i | \(-0.673917\pi\) |
0.480147 | + | 0.877188i | \(0.340583\pi\) | |||||||
\(458\) | −1.12680 | + | 1.95167i | −0.0526517 | + | 0.0911954i | ||||
\(459\) | −24.8410 | + | 16.1463i | −1.15948 | + | 0.753642i | ||||
\(460\) | −1.66379 | − | 2.88177i | −0.0775745 | − | 0.134363i | ||||
\(461\) | − | 10.2088i | − | 0.475471i | −0.971330 | − | 0.237736i | \(-0.923595\pi\) | ||
0.971330 | − | 0.237736i | \(-0.0764052\pi\) | |||||||
\(462\) | 17.7643 | − | 6.26145i | 0.826470 | − | 0.291309i | ||||
\(463\) | 11.4435i | 0.531824i | 0.963997 | + | 0.265912i | \(0.0856731\pi\) | ||||
−0.963997 | + | 0.265912i | \(0.914327\pi\) | |||||||
\(464\) | −5.24975 | + | 3.03094i | −0.243713 | + | 0.140708i | ||||
\(465\) | 0.00181214 | − | 0.0114514i | 8.40360e−5 | − | 0.000531046i | ||||
\(466\) | 1.12902 | + | 0.651840i | 0.0523008 | + | 0.0301959i | ||||
\(467\) | 12.8601 | + | 22.2744i | 0.595097 | + | 1.03074i | 0.993533 | + | 0.113542i | \(0.0362196\pi\) |
−0.398437 | + | 0.917196i | \(0.630447\pi\) | |||||||
\(468\) | −5.56400 | − | 9.27588i | −0.257196 | − | 0.428778i | ||||
\(469\) | −8.57834 | − | 0.238342i | −0.396111 | − | 0.0110056i | ||||
\(470\) | 10.8293 | 0.499518 | ||||||||
\(471\) | −9.82929 | − | 7.95741i | −0.452910 | − | 0.366658i | ||||
\(472\) | 1.68327 | + | 0.971837i | 0.0774789 | + | 0.0447324i | ||||
\(473\) | 6.81612 | − | 11.8059i | 0.313405 | − | 0.542834i | ||||
\(474\) | −15.4290 | + | 19.0584i | −0.708676 | + | 0.875383i | ||||
\(475\) | −12.4501 | −0.571250 | ||||||||
\(476\) | −12.8499 | − | 7.90269i | −0.588974 | − | 0.362219i | ||||
\(477\) | −10.1914 | − | 11.3125i | −0.466631 | − | 0.517965i | ||||
\(478\) | 1.75061 | + | 3.03215i | 0.0800711 | + | 0.138687i | ||||
\(479\) | 27.5828 | + | 15.9249i | 1.26029 | + | 0.727629i | 0.973131 | − | 0.230254i | \(-0.0739557\pi\) |
0.287160 | + | 0.957883i | \(0.407289\pi\) | |||||||
\(480\) | 0.688764 | − | 4.35248i | 0.0314376 | − | 0.198663i | ||||
\(481\) | −8.28612 | − | 24.1449i | −0.377814 | − | 1.10091i | ||||
\(482\) | 13.1946 | 0.600996 | ||||||||
\(483\) | 3.89922 | − | 4.55190i | 0.177420 | − | 0.207119i | ||||
\(484\) | 5.89410 | 0.267914 | ||||||||
\(485\) | 8.62131 | − | 4.97752i | 0.391474 | − | 0.226017i | ||||
\(486\) | 4.02444 | − | 15.0600i | 0.182552 | − | 0.683136i | ||||
\(487\) | 17.8940 | + | 10.3311i | 0.810854 | + | 0.468147i | 0.847252 | − | 0.531190i | \(-0.178255\pi\) |
−0.0363981 | + | 0.999337i | \(0.511588\pi\) | |||||||
\(488\) | 3.15576 | − | 1.82198i | 0.142855 | − | 0.0824772i | ||||
\(489\) | 24.4654 | − | 9.39516i | 1.10636 | − | 0.424864i | ||||
\(490\) | −15.8939 | + | 8.03450i | −0.718013 | + | 0.362962i | ||||
\(491\) | 9.08674i | 0.410079i | 0.978754 | + | 0.205039i | \(0.0657322\pi\) | ||||
−0.978754 | + | 0.205039i | \(0.934268\pi\) | |||||||
\(492\) | 3.38407 | + | 2.73961i | 0.152566 | + | 0.123511i | ||||
\(493\) | −29.9329 | − | 17.2818i | −1.34811 | − | 0.778332i | ||||
\(494\) | 22.9818 | + | 20.0191i | 1.03400 | + | 0.900703i | ||||
\(495\) | −9.68630 | + | 29.8387i | −0.435367 | + | 1.34115i | ||||
\(496\) | −0.00263100 | −0.000118136 | ||||||||
\(497\) | −15.5655 | + | 8.41920i | −0.698207 | + | 0.377653i | ||||
\(498\) | −17.9964 | + | 6.91096i | −0.806438 | + | 0.309687i | ||||
\(499\) | −14.4611 | + | 8.34913i | −0.647368 | + | 0.373758i | −0.787447 | − | 0.616382i | \(-0.788598\pi\) |
0.140079 | + | 0.990140i | \(0.455264\pi\) | |||||||
\(500\) | 7.77148 | + | 4.48687i | 0.347551 | + | 0.200659i | ||||
\(501\) | −6.57135 | + | 41.5261i | −0.293586 | + | 1.85525i | ||||
\(502\) | 14.2179 | + | 24.6261i | 0.634575 | + | 1.09912i | ||||
\(503\) | −29.9262 | −1.33434 | −0.667171 | − | 0.744904i | \(-0.732495\pi\) | ||||
−0.667171 | + | 0.744904i | \(0.732495\pi\) | |||||||
\(504\) | 7.80626 | − | 1.43609i | 0.347718 | − | 0.0639684i | ||||
\(505\) | − | 39.4241i | − | 1.75435i | ||||||
\(506\) | 4.65564 | − | 2.68793i | 0.206968 | − | 0.119493i | ||||
\(507\) | 19.2783 | + | 11.6338i | 0.856181 | + | 0.516676i | ||||
\(508\) | 6.03573 | − | 10.4542i | 0.267792 | − | 0.463829i | ||||
\(509\) | 29.2792 | − | 16.9043i | 1.29778 | − | 0.749272i | 0.317757 | − | 0.948172i | \(-0.397070\pi\) |
0.980020 | + | 0.198900i | \(0.0637369\pi\) | |||||||
\(510\) | 23.4557 | − | 9.00741i | 1.03863 | − | 0.398855i | ||||
\(511\) | −0.193947 | + | 6.98046i | −0.00857969 | + | 0.308798i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 2.31654 | + | 43.8628i | 0.102278 | + | 1.93659i | ||||
\(514\) | −9.54939 | + | 16.5400i | −0.421206 | + | 0.729550i | ||||
\(515\) | 16.9085 | − | 29.2864i | 0.745077 | − | 1.29051i | ||||
\(516\) | 3.61459 | − | 4.46488i | 0.159124 | − | 0.196556i | ||||
\(517\) | 17.4952i | 0.769440i | ||||||||
\(518\) | 18.7246 | + | 0.520247i | 0.822711 | + | 0.0228583i | ||||
\(519\) | 0.254185 | + | 0.661907i | 0.0111575 | + | 0.0290545i | ||||
\(520\) | 2.97761 | + | 8.67644i | 0.130577 | + | 0.380487i | ||||
\(521\) | −12.3261 | + | 21.3495i | −0.540017 | + | 0.935338i | 0.458885 | + | 0.888496i | \(0.348249\pi\) |
−0.998902 | + | 0.0468419i | \(0.985084\pi\) | |||||||
\(522\) | 17.7872 | − | 3.78581i | 0.778526 | − | 0.165700i | ||||
\(523\) | −9.97765 | + | 5.76060i | −0.436292 | + | 0.251893i | −0.702024 | − | 0.712154i | \(-0.747720\pi\) |
0.265732 | + | 0.964047i | \(0.414387\pi\) | |||||||
\(524\) | 17.2335 | 0.752847 | ||||||||
\(525\) | 1.23968 | − | 6.63454i | 0.0541039 | − | 0.289555i | ||||
\(526\) | − | 5.19445i | − | 0.226489i | ||||||
\(527\) | −0.00750071 | − | 0.0129916i | −0.000326736 | − | 0.000565923i | ||||
\(528\) | 7.03165 | + | 1.11273i | 0.306013 | + | 0.0484255i | ||||
\(529\) | −10.6447 | + | 18.4371i | −0.462812 | + | 0.801614i | ||||
\(530\) | 6.45636 | + | 11.1827i | 0.280446 | + | 0.485747i | ||||
\(531\) | −3.90288 | − | 4.33224i | −0.169371 | − | 0.188003i | ||||
\(532\) | −19.6717 | + | 10.6402i | −0.852878 | + | 0.461313i | ||||
\(533\) | −8.89530 | − | 1.73852i | −0.385298 | − | 0.0753037i | ||||
\(534\) | 5.15852 | + | 4.17614i | 0.223231 | + | 0.180719i | ||||
\(535\) | −18.1510 | + | 31.4384i | −0.784735 | + | 1.35920i | ||||
\(536\) | −2.80901 | − | 1.62178i | −0.121331 | − | 0.0700502i | ||||
\(537\) | 31.8561 | + | 25.7894i | 1.37469 | + | 1.11290i | ||||
\(538\) | −6.20413 | −0.267479 | ||||||||
\(539\) | −12.9801 | − | 25.6774i | −0.559094 | − | 1.10600i | ||||
\(540\) | −5.99696 | + | 11.7815i | −0.258068 | + | 0.506994i | ||||
\(541\) | −15.5915 | + | 9.00176i | −0.670331 | + | 0.387016i | −0.796202 | − | 0.605031i | \(-0.793161\pi\) |
0.125871 | + | 0.992047i | \(0.459827\pi\) | |||||||
\(542\) | −12.8489 | + | 22.2550i | −0.551909 | + | 0.955935i | ||||
\(543\) | −3.85094 | + | 24.3351i | −0.165260 | + | 1.04432i | ||||
\(544\) | −2.85089 | − | 4.93789i | −0.122231 | − | 0.211710i | ||||
\(545\) | 27.0877 | 1.16031 | ||||||||
\(546\) | −12.9563 | + | 10.2535i | −0.554480 | + | 0.438807i | ||||
\(547\) | −31.6765 | −1.35439 | −0.677194 | − | 0.735804i | \(-0.736804\pi\) | ||||
−0.677194 | + | 0.735804i | \(0.736804\pi\) | |||||||
\(548\) | −6.52427 | − | 11.3004i | −0.278703 | − | 0.482728i | ||||
\(549\) | −10.6924 | + | 2.27575i | −0.456340 | + | 0.0971266i | ||||
\(550\) | 3.02685 | − | 5.24266i | 0.129065 | − | 0.223548i | ||||
\(551\) | −44.3770 | + | 25.6211i | −1.89052 | + | 1.09149i | ||||
\(552\) | 2.11481 | − | 0.812125i | 0.0900121 | − | 0.0345663i | ||||
\(553\) | 31.9055 | + | 19.6219i | 1.35676 | + | 0.834407i | ||||
\(554\) | −24.3161 | −1.03309 | ||||||||
\(555\) | −19.6308 | + | 24.2487i | −0.833281 | + | 1.02930i | ||||
\(556\) | −0.539835 | − | 0.311674i | −0.0228941 | − | 0.0132179i | ||||
\(557\) | 14.7789 | − | 25.5978i | 0.626201 | − | 1.08461i | −0.362106 | − | 0.932137i | \(-0.617942\pi\) |
0.988307 | − | 0.152475i | \(-0.0487244\pi\) | |||||||
\(558\) | 0.00750736 | + | 0.00243705i | 0.000317812 | + | 0.000103169i | ||||
\(559\) | −2.29377 | + | 11.7363i | −0.0970163 | + | 0.496392i | ||||
\(560\) | −6.72866 | − | 0.186950i | −0.284338 | − | 0.00790009i | ||||
\(561\) | 14.5519 | + | 37.8938i | 0.614383 | + | 1.59988i | ||||
\(562\) | 11.3607 | + | 19.6774i | 0.479224 | + | 0.830040i | ||||
\(563\) | −11.5996 | + | 20.0912i | −0.488866 | + | 0.846741i | −0.999918 | − | 0.0128088i | \(-0.995923\pi\) |
0.511052 | + | 0.859550i | \(0.329256\pi\) | |||||||
\(564\) | −1.15233 | + | 7.28186i | −0.0485217 | + | 0.306622i | ||||
\(565\) | 1.08671 | + | 1.88224i | 0.0457182 | + | 0.0791863i | ||||
\(566\) | 19.1931i | 0.806747i | ||||||||
\(567\) | −23.6047 | − | 3.13303i | −0.991306 | − | 0.131575i | ||||
\(568\) | −6.68865 | −0.280650 | ||||||||
\(569\) | 15.1314 | − | 8.73610i | 0.634340 | − | 0.366236i | −0.148091 | − | 0.988974i | \(-0.547313\pi\) |
0.782431 | + | 0.622738i | \(0.213980\pi\) | |||||||
\(570\) | 5.82224 | − | 36.7923i | 0.243867 | − | 1.54106i | ||||
\(571\) | 4.98953 | − | 8.64212i | 0.208805 | − | 0.361662i | −0.742533 | − | 0.669809i | \(-0.766376\pi\) |
0.951339 | + | 0.308148i | \(0.0997091\pi\) | |||||||
\(572\) | −14.0172 | + | 4.81047i | −0.586090 | + | 0.201136i | ||||
\(573\) | 25.8782 | − | 9.93770i | 1.08108 | − | 0.415153i | ||||
\(574\) | 3.48412 | − | 5.66523i | 0.145424 | − | 0.236462i | ||||
\(575\) | − | 1.92634i | − | 0.0803341i | ||||||
\(576\) | 2.85342 | + | 0.926282i | 0.118892 | + | 0.0385951i | ||||
\(577\) | −8.91246 | + | 15.4368i | −0.371031 | + | 0.642644i | −0.989724 | − | 0.142988i | \(-0.954329\pi\) |
0.618694 | + | 0.785632i | \(0.287662\pi\) | |||||||
\(578\) | 7.75517 | − | 13.4323i | 0.322572 | − | 0.558712i | ||||
\(579\) | −22.8270 | − | 18.4799i | −0.948659 | − | 0.767997i | ||||
\(580\) | −15.4225 | −0.640385 | ||||||||
\(581\) | 14.0097 | + | 25.9012i | 0.581219 | + | 1.07456i | ||||
\(582\) | 2.42962 | + | 6.32682i | 0.100711 | + | 0.262255i | ||||
\(583\) | −18.0663 | + | 10.4306i | −0.748229 | + | 0.431990i | ||||
\(584\) | −1.31969 | + | 2.28578i | −0.0546093 | + | 0.0945860i | ||||
\(585\) | −0.459534 | − | 27.5156i | −0.0189994 | − | 1.13763i | ||||
\(586\) | 10.1638 | − | 5.86808i | 0.419863 | − | 0.242408i | ||||
\(587\) | 47.7903i | 1.97252i | 0.165206 | + | 0.986259i | \(0.447171\pi\) | ||||
−0.165206 | + | 0.986259i | \(0.552829\pi\) | |||||||
\(588\) | −3.71134 | − | 11.5424i | −0.153053 | − | 0.475999i | ||||
\(589\) | −0.0222403 | −0.000916396 | ||||||||
\(590\) | 2.47253 | + | 4.28254i | 0.101792 | + | 0.176309i | ||||
\(591\) | −4.38919 | − | 0.694573i | −0.180547 | − | 0.0285709i | ||||
\(592\) | 6.13142 | + | 3.53998i | 0.252000 | + | 0.145492i | ||||
\(593\) | −8.78037 | + | 5.06935i | −0.360566 | + | 0.208173i | −0.669329 | − | 0.742966i | \(-0.733418\pi\) |
0.308763 | + | 0.951139i | \(0.400085\pi\) | |||||||
\(594\) | −19.0335 | − | 9.68838i | −0.780956 | − | 0.397519i | ||||
\(595\) | −18.2595 | − | 33.7584i | −0.748568 | − | 1.38396i | ||||
\(596\) | 1.97237 | 0.0807916 | ||||||||
\(597\) | −29.1410 | − | 23.5914i | −1.19266 | − | 0.965531i | ||||
\(598\) | −3.09746 | + | 3.55587i | −0.126665 | + | 0.145410i | ||||
\(599\) | −10.0365 | − | 5.79458i | −0.410081 | − | 0.236760i | 0.280744 | − | 0.959783i | \(-0.409419\pi\) |
−0.690824 | + | 0.723023i | \(0.742752\pi\) | |||||||
\(600\) | 1.60514 | − | 1.98273i | 0.0655296 | − | 0.0809447i | ||||
\(601\) | 4.44714i | 0.181403i | 0.995878 | + | 0.0907013i | \(0.0289109\pi\) | ||||
−0.995878 | + | 0.0907013i | \(0.971089\pi\) | |||||||
\(602\) | −7.47461 | − | 4.59688i | −0.304642 | − | 0.187355i | ||||
\(603\) | 6.51304 | + | 7.22955i | 0.265232 | + | 0.294410i | ||||
\(604\) | 8.14145 | − | 4.70047i | 0.331271 | − | 0.191259i | ||||
\(605\) | 12.9866 | + | 7.49782i | 0.527981 | + | 0.304830i | ||||
\(606\) | 26.5097 | + | 4.19505i | 1.07688 | + | 0.170412i | ||||
\(607\) | 5.35667 | − | 3.09268i | 0.217421 | − | 0.125528i | −0.387335 | − | 0.921939i | \(-0.626604\pi\) |
0.604755 | + | 0.796411i | \(0.293271\pi\) | |||||||
\(608\) | −8.45317 | −0.342821 | ||||||||
\(609\) | −9.23454 | − | 26.1992i | −0.374202 | − | 1.06165i | ||||
\(610\) | 9.27088 | 0.375367 | ||||||||
\(611\) | −4.98165 | − | 14.5160i | −0.201536 | − | 0.587255i | ||||
\(612\) | 3.56091 | + | 16.7306i | 0.143941 | + | 0.676294i | ||||
\(613\) | 19.9940 | + | 11.5435i | 0.807549 | + | 0.466239i | 0.846104 | − | 0.533018i | \(-0.178942\pi\) |
−0.0385548 | + | 0.999256i | \(0.512275\pi\) | |||||||
\(614\) | −13.6204 | − | 23.5912i | −0.549674 | − | 0.952064i | ||||
\(615\) | 3.97117 | + | 10.3411i | 0.160133 | + | 0.416993i | ||||
\(616\) | 0.302028 | − | 10.8705i | 0.0121690 | − | 0.437984i | ||||
\(617\) | −14.5000 | −0.583749 | −0.291874 | − | 0.956457i | \(-0.594279\pi\) | ||||
−0.291874 | + | 0.956457i | \(0.594279\pi\) | |||||||
\(618\) | 17.8936 | + | 14.4860i | 0.719787 | + | 0.582711i | ||||
\(619\) | 11.4323 | − | 19.8013i | 0.459503 | − | 0.795882i | −0.539432 | − | 0.842029i | \(-0.681361\pi\) |
0.998935 | + | 0.0461472i | \(0.0146943\pi\) | |||||||
\(620\) | −0.00579695 | − | 0.00334687i | −0.000232811 | − | 0.000134414i | ||||
\(621\) | −6.78669 | + | 0.358427i | −0.272340 | + | 0.0143832i | ||||
\(622\) | −2.91981 | −0.117074 | ||||||||
\(623\) | 5.31103 | − | 8.63582i | 0.212782 | − | 0.345987i | ||||
\(624\) | −6.15108 | + | 1.07897i | −0.246240 | + | 0.0431932i | ||||
\(625\) | 15.0975 | + | 26.1496i | 0.603899 | + | 1.04598i | ||||
\(626\) | 5.81374 | + | 3.35656i | 0.232364 | + | 0.134155i | ||||
\(627\) | 59.4397 | + | 9.40612i | 2.37379 | + | 0.375644i | ||||
\(628\) | −6.32327 | + | 3.65074i | −0.252326 | + | 0.145681i | ||||
\(629\) | 40.3684i | 1.60959i | ||||||||
\(630\) | 19.0265 | + | 6.76608i | 0.758035 | + | 0.269567i | ||||
\(631\) | 10.1877i | 0.405568i | 0.979224 | + | 0.202784i | \(0.0649989\pi\) | ||||
−0.979224 | + | 0.202784i | \(0.935001\pi\) | |||||||
\(632\) | 7.07859 | + | 12.2605i | 0.281571 | + | 0.487696i | ||||
\(633\) | 11.9876 | + | 1.89699i | 0.476463 | + | 0.0753985i | ||||
\(634\) | 7.72251 | − | 13.3758i | 0.306700 | − | 0.531220i | ||||
\(635\) | 26.5973 | − | 15.3559i | 1.05548 | − | 0.609382i | ||||
\(636\) | −8.20655 | + | 3.15147i | −0.325411 | + | 0.124964i | ||||
\(637\) | 18.0812 | + | 17.6088i | 0.716403 | + | 0.697686i | ||||
\(638\) | − | 24.9158i | − | 0.986427i | ||||||
\(639\) | 19.0855 | + | 6.19558i | 0.755012 | + | 0.245093i | ||||
\(640\) | −2.20332 | − | 1.27209i | −0.0870939 | − | 0.0502837i | ||||
\(641\) | −24.5592 | − | 14.1793i | −0.970030 | − | 0.560047i | −0.0707844 | − | 0.997492i | \(-0.522550\pi\) |
−0.899245 | + | 0.437445i | \(0.855884\pi\) | |||||||
\(642\) | −19.2085 | − | 15.5504i | −0.758099 | − | 0.613727i | ||||
\(643\) | −7.46124 | −0.294243 | −0.147121 | − | 0.989118i | \(-0.547001\pi\) | ||||
−0.147121 | + | 0.989118i | \(0.547001\pi\) | |||||||
\(644\) | −1.64631 | − | 3.04372i | −0.0648739 | − | 0.119939i | ||||
\(645\) | 13.6438 | − | 5.23949i | 0.537226 | − | 0.206305i | ||||
\(646\) | −24.0991 | − | 41.7408i | −0.948165 | − | 1.64227i | ||||
\(647\) | 12.5324 | − | 21.7068i | 0.492701 | − | 0.853382i | −0.507264 | − | 0.861791i | \(-0.669343\pi\) |
0.999965 | + | 0.00840826i | \(0.00267646\pi\) | |||||||
\(648\) | −7.28400 | − | 5.28614i | −0.286143 | − | 0.207659i | ||||
\(649\) | −6.91866 | + | 3.99449i | −0.271581 | + | 0.156797i | ||||
\(650\) | −1.01860 | + | 5.21177i | −0.0399529 | + | 0.204422i | ||||
\(651\) | 0.00221451 | − | 0.0118517i | 8.67933e−5 | − | 0.000464503i | ||||
\(652\) | − | 15.1308i | − | 0.592568i | ||||||
\(653\) | 9.06026 | − | 5.23094i | 0.354555 | − | 0.204703i | −0.312134 | − | 0.950038i | \(-0.601044\pi\) |
0.666690 | + | 0.745335i | \(0.267711\pi\) | |||||||
\(654\) | −2.88236 | + | 18.2144i | −0.112709 | + | 0.712239i | ||||
\(655\) | 37.9708 | + | 21.9225i | 1.48364 | + | 0.856582i | ||||
\(656\) | 2.17701 | − | 1.25689i | 0.0849978 | − | 0.0490735i | ||||
\(657\) | 5.88291 | − | 5.29987i | 0.229514 | − | 0.206768i | ||||
\(658\) | 11.2573 | + | 0.312775i | 0.438855 | + | 0.0121932i | ||||
\(659\) | − | 24.8852i | − | 0.969389i | −0.874684 | − | 0.484694i | \(-0.838931\pi\) | ||
0.874684 | − | 0.484694i | \(-0.161069\pi\) | |||||||
\(660\) | 14.0775 | + | 11.3966i | 0.547966 | + | 0.443612i | ||||
\(661\) | 24.9458 | − | 43.2074i | 0.970280 | − | 1.68057i | 0.275574 | − | 0.961280i | \(-0.411132\pi\) |
0.694706 | − | 0.719294i | \(-0.255535\pi\) | |||||||
\(662\) | 4.14357 | + | 2.39229i | 0.161044 | + | 0.0929790i | ||||
\(663\) | −22.8639 | − | 27.2974i | −0.887960 | − | 1.06014i | ||||
\(664\) | 11.1300i | 0.431929i | ||||||||
\(665\) | −56.8785 | − | 1.58032i | −2.20565 | − | 0.0612823i | ||||
\(666\) | −14.2165 | − | 15.7805i | −0.550878 | − | 0.611481i | ||||
\(667\) | −3.96423 | − | 6.86624i | −0.153496 | − | 0.265862i | ||||
\(668\) | 21.0214 | + | 12.1367i | 0.813343 | + | 0.469584i | ||||
\(669\) | −36.1967 | − | 5.72799i | −1.39944 | − | 0.221457i | ||||
\(670\) | −4.12609 | − | 7.14660i | −0.159405 | − | 0.276097i | ||||
\(671\) | 14.9776i | 0.578203i | ||||||||
\(672\) | 0.841696 | − | 4.50461i | 0.0324691 | − | 0.173769i | ||||
\(673\) | 14.9301 | 0.575513 | 0.287756 | − | 0.957704i | \(-0.407091\pi\) | ||||
0.287756 | + | 0.957704i | \(0.407091\pi\) | |||||||
\(674\) | 13.3247 | + | 23.0791i | 0.513249 | + | 0.888973i | ||||
\(675\) | −6.41671 | + | 4.17075i | −0.246979 | + | 0.160532i | ||||
\(676\) | 10.2605 | − | 7.98261i | 0.394635 | − | 0.307023i | ||||
\(677\) | −17.9807 | − | 31.1435i | −0.691056 | − | 1.19694i | −0.971492 | − | 0.237071i | \(-0.923813\pi\) |
0.280437 | − | 0.959873i | \(-0.409521\pi\) | |||||||
\(678\) | −1.38129 | + | 0.530443i | −0.0530483 | + | 0.0203715i | ||||
\(679\) | 9.10582 | − | 4.92524i | 0.349449 | − | 0.189013i | ||||
\(680\) | − | 14.5063i | − | 0.556293i | ||||||
\(681\) | −18.1287 | − | 14.6763i | −0.694694 | − | 0.562397i | ||||
\(682\) | 0.00540703 | − | 0.00936526i | 0.000207046 | − | 0.000358614i | ||||
\(683\) | 13.5825 | − | 23.5256i | 0.519721 | − | 0.900184i | −0.480016 | − | 0.877260i | \(-0.659369\pi\) |
0.999737 | − | 0.0229240i | \(-0.00729756\pi\) | |||||||
\(684\) | 24.1204 | + | 7.83001i | 0.922268 | + | 0.299388i | ||||
\(685\) | − | 33.1978i | − | 1.26842i | ||||||
\(686\) | −16.7541 | + | 7.89299i | −0.639675 | + | 0.301356i | ||||
\(687\) | −1.39932 | − | 3.64389i | −0.0533874 | − | 0.139023i | ||||
\(688\) | −1.65832 | − | 2.87230i | −0.0632230 | − | 0.109505i | ||||
\(689\) | 12.0198 | − | 13.7986i | 0.457917 | − | 0.525685i | ||||
\(690\) | 5.69269 | + | 0.900847i | 0.216717 | + | 0.0342947i | ||||
\(691\) | 15.9012 | + | 27.5418i | 0.604912 | + | 1.04774i | 0.992065 | + | 0.125723i | \(0.0401251\pi\) |
−0.387153 | + | 0.922015i | \(0.626542\pi\) | |||||||
\(692\) | 0.409361 | 0.0155616 | ||||||||
\(693\) | −10.9309 | + | 30.7383i | −0.415232 | + | 1.16765i | ||||
\(694\) | 6.30342i | 0.239275i | ||||||||
\(695\) | −0.792954 | − | 1.37344i | −0.0300785 | − | 0.0520974i | ||||
\(696\) | 1.64109 | − | 10.3705i | 0.0622052 | − | 0.393091i | ||||
\(697\) | 12.4128 | + | 7.16654i | 0.470169 | + | 0.271452i | ||||
\(698\) | 4.76413 | + | 8.25172i | 0.180325 | + | 0.312332i | ||||
\(699\) | −2.10795 | + | 0.809493i | −0.0797301 | + | 0.0306178i | ||||
\(700\) | −3.31927 | − | 2.04135i | −0.125457 | − | 0.0771557i | ||||
\(701\) | 24.3611i | 0.920107i | 0.887891 | + | 0.460053i | \(0.152170\pi\) | ||||
−0.887891 | + | 0.460053i | \(0.847830\pi\) | |||||||
\(702\) | 18.5510 | + | 2.61889i | 0.700164 | + | 0.0988438i | ||||
\(703\) | 51.8299 | + | 29.9240i | 1.95480 | + | 1.12861i | ||||
\(704\) | 2.05512 | − | 3.55958i | 0.0774553 | − | 0.134157i | ||||
\(705\) | −11.8021 | + | 14.5784i | −0.444493 | + | 0.549055i | ||||
\(706\) | − | 16.6016i | − | 0.624811i | ||||||
\(707\) | 1.13866 | − | 40.9822i | 0.0428236 | − | 1.54130i | ||||
\(708\) | −3.14278 | + | 1.20688i | −0.118113 | + | 0.0453575i | ||||
\(709\) | 37.1207 | − | 21.4317i | 1.39410 | − | 0.804883i | 0.400332 | − | 0.916370i | \(-0.368895\pi\) |
0.993766 | + | 0.111487i | \(0.0355613\pi\) | |||||||
\(710\) | −14.7373 | − | 8.50856i | −0.553079 | − | 0.319320i | ||||
\(711\) | −8.84153 | − | 41.5411i | −0.331583 | − | 1.55791i | ||||
\(712\) | 3.31853 | − | 1.91595i | 0.124367 | − | 0.0718034i | ||||
\(713\) | − | 0.00344114i | − | 0.000128872i | ||||||
\(714\) | 24.6429 | − | 8.68596i | 0.922236 | − | 0.325064i | ||||
\(715\) | −37.0038 | − | 7.23213i | −1.38386 | − | 0.270466i | ||||
\(716\) | 20.4933 | − | 11.8318i | 0.765871 | − | 0.442176i | ||||
\(717\) | −5.98976 | − | 0.947857i | −0.223692 | − | 0.0353984i | ||||
\(718\) | 8.18866 | − | 14.1832i | 0.305598 | − | 0.529311i | ||||
\(719\) | −14.3834 | − | 24.9128i | −0.536410 | − | 0.929090i | −0.999094 | − | 0.0425664i | \(-0.986447\pi\) |
0.462683 | − | 0.886524i | \(-0.346887\pi\) | |||||||
\(720\) | 5.10869 | + | 5.67070i | 0.190390 | + | 0.211334i | ||||
\(721\) | 18.4226 | − | 29.9555i | 0.686094 | − | 1.11560i | ||||
\(722\) | −52.4560 | −1.95221 | ||||||||
\(723\) | −14.3799 | + | 17.7626i | −0.534794 | + | 0.660597i | ||||
\(724\) | 12.3190 | + | 7.11236i | 0.457831 | + | 0.264329i | ||||
\(725\) | −7.73200 | − | 4.46407i | −0.287159 | − | 0.165791i | ||||
\(726\) | −6.42359 | + | 7.93466i | −0.238402 | + | 0.294483i | ||||
\(727\) | 9.23311i | 0.342437i | 0.985233 | + | 0.171219i | \(0.0547704\pi\) | ||||
−0.985233 | + | 0.171219i | \(0.945230\pi\) | |||||||
\(728\) | 2.84470 | + | 9.10537i | 0.105432 | + | 0.337467i | ||||
\(729\) | 15.8879 | + | 21.8306i | 0.588439 | + | 0.808541i | ||||
\(730\) | −5.81541 | + | 3.35753i | −0.215238 | + | 0.124268i | ||||
\(731\) | 9.45541 | − | 16.3772i | 0.349721 | − | 0.605734i | ||||
\(732\) | −0.986500 | + | 6.23395i | −0.0364621 | + | 0.230414i | ||||
\(733\) | 19.7916 | + | 34.2800i | 0.731018 | + | 1.26616i | 0.956449 | + | 0.291901i | \(0.0942878\pi\) |
−0.225431 | + | 0.974259i | \(0.572379\pi\) | |||||||
\(734\) | − | 31.1600i | − | 1.15014i | ||||||
\(735\) | 6.50563 | − | 30.1527i | 0.239964 | − | 1.11220i | ||||
\(736\) | − | 1.30792i | − | 0.0482105i | ||||||
\(737\) | 11.5457 | − | 6.66591i | 0.425291 | − | 0.245542i | ||||
\(738\) | −7.37615 | + | 1.56993i | −0.271520 | + | 0.0577898i | ||||
\(739\) | −25.0159 | − | 14.4429i | −0.920224 | − | 0.531291i | −0.0365171 | − | 0.999333i | \(-0.511626\pi\) |
−0.883706 | + | 0.468042i | \(0.844960\pi\) | |||||||
\(740\) | 9.00633 | + | 15.5994i | 0.331079 | + | 0.573446i | ||||
\(741\) | −51.9961 | + | 9.12068i | −1.91013 | + | 0.335056i | ||||
\(742\) | 6.38855 | + | 11.8112i | 0.234531 | + | 0.433603i | ||||
\(743\) | −14.2072 | −0.521211 | −0.260605 | − | 0.965445i | \(-0.583922\pi\) | ||||
−0.260605 | + | 0.965445i | \(0.583922\pi\) | |||||||
\(744\) | 0.00286736 | − | 0.00354187i | 0.000105122 | − | 0.000129851i | ||||
\(745\) | 4.34577 | + | 2.50903i | 0.159217 | + | 0.0919238i | ||||
\(746\) | 11.8848 | − | 20.5851i | 0.435133 | − | 0.753673i | ||||
\(747\) | 10.3095 | − | 31.7586i | 0.377206 | − | 1.16199i | ||||
\(748\) | 23.4357 | 0.856895 | ||||||||
\(749\) | −19.7764 | + | 32.1567i | −0.722613 | + | 1.17498i | ||||
\(750\) | −14.5099 | + | 5.57206i | −0.529825 | + | 0.203463i | ||||
\(751\) | −8.05134 | − | 13.9453i | −0.293798 | − | 0.508873i | 0.680907 | − | 0.732370i | \(-0.261586\pi\) |
−0.974704 | + | 0.223498i | \(0.928253\pi\) | |||||||
\(752\) | 3.68624 | + | 2.12825i | 0.134423 | + | 0.0776093i | ||||
\(753\) | −48.6468 | − | 7.69818i | −1.77279 | − | 0.280537i | ||||
\(754\) | 7.09461 | + | 20.6729i | 0.258370 | + | 0.752864i | ||||
\(755\) | 23.9176 | 0.870452 | ||||||||
\(756\) | −6.57425 | + | 12.0739i | −0.239103 | + | 0.439124i | ||||
\(757\) | 24.7260 | 0.898684 | 0.449342 | − | 0.893360i | \(-0.351659\pi\) | ||||
0.449342 | + | 0.893360i | \(0.351659\pi\) | |||||||
\(758\) | −5.09123 | + | 2.93942i | −0.184922 | + | 0.106765i | ||||
\(759\) | −1.45536 | + | 9.19683i | −0.0528264 | + | 0.333824i | ||||
\(760\) | −18.6250 | − | 10.7532i | −0.675601 | − | 0.390059i | ||||
\(761\) | 2.32242 | − | 1.34085i | 0.0841876 | − | 0.0486057i | −0.457315 | − | 0.889305i | \(-0.651189\pi\) |
0.541503 | + | 0.840699i | \(0.317856\pi\) | |||||||
\(762\) | 7.49552 | + | 19.5186i | 0.271534 | + | 0.707085i | ||||
\(763\) | 28.1583 | + | 0.782355i | 1.01940 | + | 0.0283232i | ||||
\(764\) | − | 16.0046i | − | 0.579024i | ||||||
\(765\) | −13.4370 | + | 41.3927i | −0.485814 | + | 1.49656i | ||||
\(766\) | −12.8839 | − | 7.43851i | −0.465514 | − | 0.268764i | ||||
\(767\) | 4.60309 | − | 5.28431i | 0.166208 | − | 0.190805i | ||||
\(768\) | 1.08983 | − | 1.34620i | 0.0393260 | − | 0.0485769i | ||||
\(769\) | −39.1298 | −1.41106 | −0.705528 | − | 0.708682i | \(-0.749290\pi\) | ||||
−0.705528 | + | 0.708682i | \(0.749290\pi\) | |||||||
\(770\) | 14.4937 | − | 23.5670i | 0.522316 | − | 0.849295i | ||||
\(771\) | −11.8590 | − | 30.8813i | −0.427091 | − | 1.11216i | ||||
\(772\) | −14.6848 | + | 8.47830i | −0.528519 | + | 0.305141i | ||||
\(773\) | 24.0664 | + | 13.8947i | 0.865607 | + | 0.499758i | 0.865886 | − | 0.500242i | \(-0.166756\pi\) |
−0.000279226 | 1.00000i | \(0.500089\pi\) | ||||||||
\(774\) | 2.07133 | + | 9.73196i | 0.0744526 | + | 0.349808i | ||||
\(775\) | −0.00193751 | − | 0.00335587i | −6.95976e−5 | − | 0.000120547i | ||||
\(776\) | 3.91287 | 0.140464 | ||||||||
\(777\) | −21.1070 | + | 24.6401i | −0.757211 | + | 0.883959i | ||||
\(778\) | − | 31.0109i | − | 1.11180i | ||||||
\(779\) | 18.4026 | − | 10.6247i | 0.659341 | − | 0.380671i | ||||
\(780\) | −14.9254 | − | 5.44741i | −0.534413 | − | 0.195049i | ||||
\(781\) | 13.7460 | − | 23.8088i | 0.491870 | − | 0.851945i | ||||
\(782\) | 6.45836 | − | 3.72873i | 0.230950 | − | 0.133339i | ||||
\(783\) | −14.2887 | + | 28.0711i | −0.510635 | + | 1.00318i | ||||
\(784\) | −6.98920 | − | 0.388679i | −0.249614 | − | 0.0138814i | ||||
\(785\) | −18.5763 | −0.663016 | ||||||||
\(786\) | −18.7816 | + | 23.1997i | −0.669917 | + | 0.827507i | ||||
\(787\) | −22.3703 | + | 38.7465i | −0.797415 | + | 1.38116i | 0.123879 | + | 0.992297i | \(0.460466\pi\) |
−0.921294 | + | 0.388866i | \(0.872867\pi\) | |||||||
\(788\) | −1.28282 | + | 2.22190i | −0.0456984 | + | 0.0791520i | ||||
\(789\) | 6.99279 | + | 5.66109i | 0.248950 | + | 0.201540i | ||||
\(790\) | 36.0184i | 1.28148i | ||||||||
\(791\) | 1.07530 | + | 1.98802i | 0.0382332 | + | 0.0706857i | ||||
\(792\) | −9.16129 | + | 8.25334i | −0.325532 | + | 0.293270i | ||||
\(793\) | −4.26476 | − | 12.4271i | −0.151446 | − | 0.441298i | ||||
\(794\) | 7.10552 | − | 12.3071i | 0.252166 | − | 0.436763i | ||||
\(795\) | −22.0906 | − | 3.49576i | −0.783473 | − | 0.123982i | ||||
\(796\) | −18.7467 | + | 10.8234i | −0.664458 | + | 0.383625i | ||||
\(797\) | 16.6004 | 0.588016 | 0.294008 | − | 0.955803i | \(-0.405011\pi\) | ||||
0.294008 | + | 0.955803i | \(0.405011\pi\) | |||||||
\(798\) | 7.11500 | − | 38.0783i | 0.251868 | − | 1.34796i | ||||
\(799\) | 24.2696i | 0.858598i | ||||||||
\(800\) | −0.736416 | − | 1.27551i | −0.0260362 | − | 0.0450961i | ||||
\(801\) | −11.2439 | + | 2.39312i | −0.397282 | + | 0.0845569i | ||||
\(802\) | −19.1854 | + | 33.2301i | −0.677460 | + | 1.17339i | ||||
\(803\) | −5.42426 | − | 9.39509i | −0.191418 | − | 0.331546i | ||||
\(804\) | 5.24459 | − | 2.01402i | 0.184963 | − | 0.0710291i | ||||
\(805\) | 0.244516 | − | 8.80054i | 0.00861805 | − | 0.310178i | ||||
\(806\) | −0.00181959 | + | 0.00931008i | −6.40922e−5 | + | 0.000327933i | ||||
\(807\) | 6.76147 | − | 8.35202i | 0.238015 | − | 0.294005i | ||||
\(808\) | 7.74790 | − | 13.4198i | 0.272570 | − | 0.472106i | ||||
\(809\) | −11.8831 | − | 6.86068i | −0.417786 | − | 0.241209i | 0.276344 | − | 0.961059i | \(-0.410877\pi\) |
−0.694130 | + | 0.719850i | \(0.744211\pi\) | |||||||
\(810\) | −9.32456 | − | 20.9130i | −0.327632 | − | 0.734807i | ||||
\(811\) | −27.2852 | −0.958114 | −0.479057 | − | 0.877784i | \(-0.659021\pi\) | ||||
−0.479057 | + | 0.877784i | \(0.659021\pi\) | |||||||
\(812\) | −16.0321 | − | 0.445438i | −0.562615 | − | 0.0156318i | ||||
\(813\) | −15.9566 | − | 41.5516i | −0.559622 | − | 1.45728i | ||||
\(814\) | −25.2016 | + | 14.5502i | −0.883317 | + | 0.509983i | ||||
\(815\) | 19.2477 | − | 33.3380i | 0.674218 | − | 1.16778i | ||||
\(816\) | 9.75440 | + | 1.54360i | 0.341472 | + | 0.0540367i | ||||
\(817\) | −14.0181 | − | 24.2800i | −0.490431 | − | 0.849451i | ||||
\(818\) | 4.18304 | 0.146257 | ||||||||
\(819\) | 0.317019 | − | 28.6164i | 0.0110775 | − | 0.999939i | ||||
\(820\) | 6.39552 | 0.223341 | ||||||||
\(821\) | −25.2745 | − | 43.7767i | −0.882085 | − | 1.52782i | −0.849018 | − | 0.528364i | \(-0.822806\pi\) |
−0.0330672 | − | 0.999453i | \(-0.510528\pi\) | |||||||
\(822\) | 22.3230 | + | 3.53253i | 0.778603 | + | 0.123211i | ||||
\(823\) | 22.1516 | − | 38.3677i | 0.772156 | − | 1.33741i | −0.164224 | − | 0.986423i | \(-0.552512\pi\) |
0.936379 | − | 0.350990i | \(-0.114155\pi\) | |||||||
\(824\) | 11.5111 | − | 6.64596i | 0.401009 | − | 0.231523i | ||||
\(825\) | 3.75892 | + | 9.78838i | 0.130869 | + | 0.340788i | ||||
\(826\) | 2.44656 | + | 4.52321i | 0.0851266 | + | 0.157383i | ||||
\(827\) | 19.9119 | 0.692405 | 0.346203 | − | 0.938160i | \(-0.387471\pi\) | ||||
0.346203 | + | 0.938160i | \(0.387471\pi\) | |||||||
\(828\) | −1.21150 | + | 3.73204i | −0.0421026 | + | 0.129697i | ||||
\(829\) | 7.87052 | + | 4.54405i | 0.273354 | + | 0.157821i | 0.630411 | − | 0.776261i | \(-0.282886\pi\) |
−0.357057 | + | 0.934083i | \(0.616220\pi\) | |||||||
\(830\) | −14.1584 | + | 24.5230i | −0.491444 | + | 0.851206i | ||||
\(831\) | 26.5005 | − | 32.7345i | 0.919293 | − | 1.13555i | ||||
\(832\) | −0.691594 | + | 3.53860i | −0.0239767 | + | 0.122679i | ||||
\(833\) | −18.0062 | − | 35.6200i | −0.623878 | − | 1.23416i | ||||
\(834\) | 1.00791 | − | 0.387055i | 0.0349010 | − | 0.0134026i | ||||
\(835\) | 30.8780 | + | 53.4822i | 1.06858 | + | 1.85083i | ||||
\(836\) | 17.3723 | − | 30.0897i | 0.600833 | − | 1.04067i | ||||
\(837\) | −0.0114625 | + | 0.00745045i | −0.000396203 | + | 0.000257525i | ||||
\(838\) | −12.2030 | − | 21.1362i | −0.421544 | − | 0.730136i | ||||
\(839\) | − | 27.0968i | − | 0.935486i | −0.883865 | − | 0.467743i | \(-0.845067\pi\) | ||
0.883865 | − | 0.467743i | \(-0.154933\pi\) | |||||||
\(840\) | 7.58479 | − | 8.85440i | 0.261700 | − | 0.305506i | ||||
\(841\) | −7.74648 | −0.267120 | ||||||||
\(842\) | −6.12262 | + | 3.53489i | −0.210999 | + | 0.121821i | ||||
\(843\) | −38.8710 | − | 6.15120i | −1.33879 | − | 0.211858i | ||||
\(844\) | 3.50357 | − | 6.06837i | 0.120598 | − | 0.208882i | ||||
\(845\) | 32.7618 | − | 4.53599i | 1.12704 | − | 0.156043i | ||||
\(846\) | −8.54702 | − | 9.48728i | −0.293853 | − | 0.326179i | ||||
\(847\) | 13.2833 | + | 8.16924i | 0.456420 | + | 0.280698i | ||||
\(848\) | 5.07540i | 0.174290i | ||||||||
\(849\) | −25.8378 | − | 20.9173i | −0.886752 | − | 0.717880i | ||||
\(850\) | 4.19888 | − | 7.27268i | 0.144021 | − | 0.249451i | ||||
\(851\) | −4.63000 | + | 8.01940i | −0.158715 | + | 0.274902i | ||||
\(852\) | 7.28952 | − | 9.00429i | 0.249735 | − | 0.308482i | ||||
\(853\) | 22.7608 | 0.779314 | 0.389657 | − | 0.920960i | \(-0.372594\pi\) | ||||
0.389657 | + | 0.920960i | \(0.372594\pi\) | |||||||
\(854\) | 9.63730 | + | 0.267764i | 0.329782 | + | 0.00916271i | ||||
\(855\) | 43.1846 | + | 47.9353i | 1.47688 | + | 1.63935i | ||||
\(856\) | −12.3570 | + | 7.13432i | −0.422354 | + | 0.243846i | ||||
\(857\) | 12.6132 | − | 21.8466i | 0.430857 | − | 0.746267i | −0.566090 | − | 0.824343i | \(-0.691545\pi\) |
0.996947 | + | 0.0780766i | \(0.0248779\pi\) | |||||||
\(858\) | 8.80057 | − | 24.1127i | 0.300446 | − | 0.823192i | ||||
\(859\) | −30.6299 | + | 17.6842i | −1.04508 | + | 0.603377i | −0.921268 | − | 0.388928i | \(-0.872845\pi\) |
−0.123812 | + | 0.992306i | \(0.539512\pi\) | |||||||
\(860\) | − | 8.43814i | − | 0.287738i | ||||||
\(861\) | 3.82945 | + | 10.8645i | 0.130507 | + | 0.370261i | ||||
\(862\) | 3.67304 | 0.125104 | ||||||||
\(863\) | −4.16054 | − | 7.20627i | −0.141627 | − | 0.245304i | 0.786483 | − | 0.617612i | \(-0.211900\pi\) |
−0.928109 | + | 0.372308i | \(0.878567\pi\) | |||||||
\(864\) | −4.35672 | + | 2.83179i | −0.148218 | + | 0.0963394i | ||||
\(865\) | 0.901955 | + | 0.520744i | 0.0306674 | + | 0.0177058i | ||||
\(866\) | 26.7670 | − | 15.4540i | 0.909581 | − | 0.525147i | ||||
\(867\) | 9.63082 | + | 25.0790i | 0.327080 | + | 0.851729i | ||||
\(868\) | −0.00592940 | − | 0.00364658i | −0.000201257 | − | 0.000123773i | ||||
\(869\) | −58.1895 | −1.97394 | ||||||||
\(870\) | 16.8080 | − | 20.7618i | 0.569843 | − | 0.703892i | ||||
\(871\) | −7.68152 | + | 8.81834i | −0.260278 | + | 0.298798i | ||||
\(872\) | 9.22052 | + | 5.32347i | 0.312246 | + | 0.180275i | ||||
\(873\) | −11.1651 | − | 3.62442i | −0.377880 | − | 0.122668i | ||||
\(874\) | − | 11.0561i | − | 0.373977i | ||||||
\(875\) | 11.2955 | + | 20.8832i | 0.381857 | + | 0.705980i | ||||
\(876\) | −1.63887 | − | 4.26769i | −0.0553724 | − | 0.144192i | ||||
\(877\) | −6.00709 | + | 3.46819i | −0.202845 | + | 0.117113i | −0.597982 | − | 0.801510i | \(-0.704031\pi\) |
0.395137 | + | 0.918622i | \(0.370697\pi\) | |||||||
\(878\) | 31.8737 | + | 18.4023i | 1.07569 | + | 0.621047i | ||||
\(879\) | −3.17724 | + | 20.0778i | −0.107166 | + | 0.677207i | ||||
\(880\) | 9.05619 | − | 5.22859i | 0.305284 | − | 0.176256i | ||||
\(881\) | 10.2056 | 0.343835 | 0.171917 | − | 0.985111i | \(-0.445004\pi\) | ||||
0.171917 | + | 0.985111i | \(0.445004\pi\) | |||||||
\(882\) | 19.5831 | + | 7.58303i | 0.659397 | + | 0.255334i | ||||
\(883\) | −16.1358 | −0.543013 | −0.271506 | − | 0.962437i | \(-0.587522\pi\) | ||||
−0.271506 | + | 0.962437i | \(0.587522\pi\) | |||||||
\(884\) | −19.4449 | + | 6.67315i | −0.654002 | + | 0.224442i | ||||
\(885\) | −8.45981 | − | 1.33873i | −0.284373 | − | 0.0450010i | ||||
\(886\) | −31.8442 | − | 18.3852i | −1.06983 | − | 0.617664i | ||||
\(887\) | −12.1918 | − | 21.1167i | −0.409359 | − | 0.709031i | 0.585459 | − | 0.810702i | \(-0.300914\pi\) |
−0.994818 | + | 0.101671i | \(0.967581\pi\) | |||||||
\(888\) | −11.4478 | + | 4.39615i | −0.384162 | + | 0.147525i | ||||
\(889\) | 28.0920 | − | 15.1947i | 0.942176 | − | 0.509613i | ||||
\(890\) | 9.74904 | 0.326789 | ||||||||
\(891\) | 33.7859 | − | 15.0643i | 1.13187 | − | 0.504673i | ||||
\(892\) | −10.5791 | + | 18.3235i | −0.354214 | + | 0.613517i | ||||
\(893\) | 31.1604 | + | 17.9904i | 1.04274 | + | 0.602027i | ||||
\(894\) | −2.14956 | + | 2.65522i | −0.0718920 | + | 0.0888037i | ||||
\(895\) | 60.2045 | 2.01241 | ||||||||
\(896\) | −2.25366 | − | 1.38600i | −0.0752896 | − | 0.0463031i | ||||
\(897\) | −1.41120 | − | 8.04512i | −0.0471186 | − | 0.268619i | ||||
\(898\) | −1.97326 | − | 3.41779i | −0.0658486 | − | 0.114053i | ||||
\(899\) | −0.0138121 | − | 0.00797443i | −0.000460660 | − | 0.000265962i | ||||
\(900\) | 0.919822 | + | 4.32169i | 0.0306607 | + | 0.144056i | ||||
\(901\) | −25.0618 | + | 14.4694i | −0.834929 | + | 0.482046i | ||||
\(902\) | 10.3323i | 0.344027i | ||||||||
\(903\) | 14.3344 | − | 5.05251i | 0.477020 | − | 0.168137i | ||||
\(904\) | 0.854272i | 0.0284127i | ||||||||
\(905\) | 18.0951 | + | 31.3416i | 0.601501 | + | 1.04183i | ||||
\(906\) | −2.54504 | + | 16.0828i | −0.0845533 | + | 0.534315i | ||||
\(907\) | −9.19556 | + | 15.9272i | −0.305334 | + | 0.528853i | −0.977336 | − | 0.211696i | \(-0.932101\pi\) |
0.672002 | + | 0.740549i | \(0.265435\pi\) | |||||||
\(908\) | −11.6624 | + | 6.73328i | −0.387030 | + | 0.223452i | ||||
\(909\) | −34.5385 | + | 31.1155i | −1.14557 | + | 1.03204i | ||||
\(910\) | −5.31504 | + | 23.6808i | −0.176192 | + | 0.785009i | ||||
\(911\) | − | 29.8085i | − | 0.987598i | −0.869576 | − | 0.493799i | \(-0.835608\pi\) | ||
0.869576 | − | 0.493799i | \(-0.164392\pi\) | |||||||
\(912\) | 9.21254 | − | 11.3797i | 0.305058 | − | 0.376819i | ||||
\(913\) | −39.6182 | − | 22.8736i | −1.31117 | − | 0.757004i | ||||
\(914\) | −0.843279 | − | 0.486868i | −0.0278932 | − | 0.0161041i | ||||
\(915\) | −10.1037 | + | 12.4805i | −0.334019 | + | 0.412592i | ||||
\(916\) | −2.25359 | −0.0744607 | ||||||||
\(917\) | 38.8384 | + | 23.8856i | 1.28256 | + | 0.788772i | ||||
\(918\) | −26.4036 | − | 13.4399i | −0.871448 | − | 0.443581i | ||||
\(919\) | 5.75307 | + | 9.96461i | 0.189776 | + | 0.328702i | 0.945176 | − | 0.326563i | \(-0.105890\pi\) |
−0.755399 | + | 0.655265i | \(0.772557\pi\) | |||||||
\(920\) | 1.66379 | − | 2.88177i | 0.0548535 | − | 0.0950090i | ||||
\(921\) | 46.6025 | + | 7.37468i | 1.53561 | + | 0.243004i | ||||
\(922\) | 8.84108 | − | 5.10440i | 0.291166 | − | 0.168105i | ||||
\(923\) | −4.62583 | + | 23.6685i | −0.152261 | + | 0.779057i | ||||
\(924\) | 14.3047 | + | 12.2536i | 0.470591 | + | 0.403114i | ||||
\(925\) | 10.4276i | 0.342857i | ||||||||
\(926\) | −9.91036 | + | 5.72175i | −0.325675 | + | 0.188028i | ||||
\(927\) | −39.0021 | + | 8.30115i | −1.28100 | + | 0.272645i | ||||
\(928\) | −5.24975 | − | 3.03094i | −0.172331 | − | 0.0994956i | ||||
\(929\) | 26.9309 | − | 15.5486i | 0.883576 | − | 0.510133i | 0.0117399 | − | 0.999931i | \(-0.496263\pi\) |
0.871836 | + | 0.489798i | \(0.162930\pi\) | |||||||
\(930\) | 0.0108233 | − | 0.00415634i | 0.000354909 | − | 0.000136292i | ||||
\(931\) | −59.0809 | − | 3.28556i | −1.93630 | − | 0.107680i | ||||
\(932\) | 1.30368i | 0.0427034i | ||||||||
\(933\) | 3.18211 | − | 3.93066i | 0.104178 | − | 0.128684i | ||||
\(934\) | −12.8601 | + | 22.2744i | −0.420797 | + | 0.728842i | ||||
\(935\) | 51.6364 | + | 29.8123i | 1.68869 | + | 0.974966i | ||||
\(936\) | 5.25115 | − | 9.45650i | 0.171639 | − | 0.309095i | ||||
\(937\) | − | 39.5487i | − | 1.29200i | −0.763338 | − | 0.645999i | \(-0.776441\pi\) | ||
0.763338 | − | 0.645999i | \(-0.223559\pi\) | |||||||
\(938\) | −4.08276 | − | 7.54823i | −0.133307 | − | 0.246459i | ||||
\(939\) | −10.8546 | + | 4.16838i | −0.354227 | + | 0.136030i | ||||
\(940\) | 5.41464 | + | 9.37843i | 0.176606 | + | 0.305891i | ||||
\(941\) | 2.74724 | + | 1.58612i | 0.0895573 | + | 0.0517059i | 0.544110 | − | 0.839014i | \(-0.316867\pi\) |
−0.454553 | + | 0.890720i | \(0.650201\pi\) | |||||||
\(942\) | 1.97667 | − | 12.4911i | 0.0644035 | − | 0.406983i | ||||
\(943\) | 1.64392 | + | 2.84735i | 0.0535333 | + | 0.0927223i | ||||
\(944\) | 1.94367i | 0.0632612i | ||||||||
\(945\) | −29.8443 | + | 18.2397i | −0.970834 | + | 0.593336i | ||||
\(946\) | 13.6322 | 0.443222 | ||||||||
\(947\) | 4.60358 | + | 7.97363i | 0.149596 | + | 0.259108i | 0.931078 | − | 0.364819i | \(-0.118869\pi\) |
−0.781482 | + | 0.623928i | \(0.785536\pi\) | |||||||
\(948\) | −24.2196 | − | 3.83266i | −0.786615 | − | 0.124479i | ||||
\(949\) | 7.17575 | + | 6.25070i | 0.232935 | + | 0.202906i | ||||
\(950\) | −6.22505 | − | 10.7821i | −0.201967 | − | 0.349817i | ||||
\(951\) | 9.59027 | + | 24.9734i | 0.310986 | + | 0.809820i | ||||
\(952\) | 0.418977 | − | 15.0797i | 0.0135791 | − | 0.488735i | ||||
\(953\) | − | 31.9720i | − | 1.03567i | −0.855479 | − | 0.517837i | \(-0.826737\pi\) | ||
0.855479 | − | 0.517837i | \(-0.173263\pi\) | |||||||
\(954\) | 4.70125 | − | 14.4823i | 0.152209 | − | 0.468880i | ||||
\(955\) | 20.3592 | − | 35.2632i | 0.658808 | − | 1.14109i | ||||
\(956\) | −1.75061 | + | 3.03215i | −0.0566188 | + | 0.0980666i | ||||
\(957\) | 33.5418 | + | 27.1541i | 1.08425 | + | 0.877768i | ||||
\(958\) | 31.8499i | 1.02902i | ||||||||
\(959\) | 0.958829 | − | 34.5099i | 0.0309622 | − | 1.11438i | ||||
\(960\) | 4.11374 | − | 1.57975i | 0.132770 | − | 0.0509863i | ||||
\(961\) | 15.5000 | + | 26.8468i | 0.500000 | + | 0.866025i | ||||
\(962\) | 16.7670 | − | 19.2484i | 0.540591 | − | 0.620594i | ||||
\(963\) | 41.8681 | − | 8.91114i | 1.34918 | − | 0.287157i | ||||
\(964\) | 6.59729 | + | 11.4268i | 0.212484 | + | 0.368034i | ||||
\(965\) | −43.1406 | −1.38874 | ||||||||
\(966\) | 5.89167 | + | 1.10087i | 0.189561 | + | 0.0354199i | ||||
\(967\) | 8.89193i | 0.285945i | 0.989727 | + | 0.142973i | \(0.0456661\pi\) | ||||
−0.989727 | + | 0.142973i | \(0.954334\pi\) | |||||||
\(968\) | 2.94705 | + | 5.10444i | 0.0947218 | + | 0.164063i | ||||
\(969\) | 82.4556 | + | 13.0483i | 2.64885 | + | 0.419171i | ||||
\(970\) | 8.62131 | + | 4.97752i | 0.276814 | + | 0.159818i | ||||
\(971\) | 10.8088 | + | 18.7213i | 0.346870 | + | 0.600796i | 0.985692 | − | 0.168559i | \(-0.0539113\pi\) |
−0.638822 | + | 0.769355i | \(0.720578\pi\) | |||||||
\(972\) | 15.0546 | − | 4.04474i | 0.482876 | − | 0.129735i | ||||
\(973\) | −0.784626 | − | 1.45062i | −0.0251540 | − | 0.0465048i | ||||
\(974\) | 20.6622i | 0.662060i | ||||||||
\(975\) | −5.90599 | − | 7.05120i | −0.189143 | − | 0.225819i | ||||
\(976\) | 3.15576 | + | 1.82198i | 0.101014 | + | 0.0583202i | ||||
\(977\) | 22.6382 | − | 39.2106i | 0.724261 | − | 1.25446i | −0.235016 | − | 0.971991i | \(-0.575514\pi\) |
0.959277 | − | 0.282466i | \(-0.0911523\pi\) | |||||||
\(978\) | 20.3691 | + | 16.4900i | 0.651333 | + | 0.527294i | ||||
\(979\) | 15.7501i | 0.503374i | ||||||||
\(980\) | −14.9050 | − | 9.74726i | −0.476123 | − | 0.311365i | ||||
\(981\) | −21.3790 | − | 23.7309i | −0.682578 | − | 0.757669i | ||||
\(982\) | −7.86934 | + | 4.54337i | −0.251121 | + | 0.144985i | ||||
\(983\) | −26.7378 | − | 15.4371i | −0.852802 | − | 0.492365i | 0.00879326 | − | 0.999961i | \(-0.497201\pi\) |
−0.861595 | + | 0.507596i | \(0.830534\pi\) | |||||||
\(984\) | −0.680538 | + | 4.30050i | −0.0216947 | + | 0.137095i | ||||
\(985\) | −5.65291 | + | 3.26371i | −0.180117 | + | 0.103990i | ||||
\(986\) | − | 34.5636i | − | 1.10073i | ||||||
\(987\) | −12.6896 | + | 14.8137i | −0.403915 | + | 0.471526i | ||||
\(988\) | −5.84616 | + | 29.9124i | −0.185991 | + | 0.951640i | ||||
\(989\) | 3.75674 | − | 2.16895i | 0.119457 | − | 0.0689687i | ||||
\(990\) | −30.6842 | + | 6.53079i | −0.975209 | + | 0.207562i | ||||
\(991\) | 8.78463 | − | 15.2154i | 0.279053 | − | 0.483334i | −0.692097 | − | 0.721805i | \(-0.743313\pi\) |
0.971150 | + | 0.238471i | \(0.0766462\pi\) | |||||||
\(992\) | −0.00131550 | − | 0.00227852i | −4.17672e−5 | − | 7.23430e-5i | ||||
\(993\) | −7.73631 | + | 2.97089i | −0.245504 | + | 0.0942782i | ||||
\(994\) | −15.0740 | − | 9.27049i | −0.478117 | − | 0.294042i | ||||
\(995\) | −55.0732 | −1.74594 | ||||||||
\(996\) | −14.9833 | − | 12.1299i | −0.474763 | − | 0.384350i | ||||
\(997\) | −25.9590 | − | 14.9874i | −0.822129 | − | 0.474656i | 0.0290211 | − | 0.999579i | \(-0.490761\pi\) |
−0.851150 | + | 0.524922i | \(0.824094\pi\) | |||||||
\(998\) | −14.4611 | − | 8.34913i | −0.457759 | − | 0.264287i | ||||
\(999\) | 36.7373 | − | 1.94022i | 1.16232 | − | 0.0613858i |
(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 | 546.2.bg.b.311.1 | yes | 36 | |
3.2 | odd | 2 | 546.2.bg.a.311.6 | yes | 36 | ||
7.5 | odd | 6 | inner | 546.2.bg.b.467.6 | yes | 36 | |
13.12 | even | 2 | 546.2.bg.a.311.1 | ✓ | 36 | ||
21.5 | even | 6 | 546.2.bg.a.467.1 | yes | 36 | ||
39.38 | odd | 2 | inner | 546.2.bg.b.311.6 | yes | 36 | |
91.12 | odd | 6 | 546.2.bg.a.467.6 | yes | 36 | ||
273.194 | even | 6 | inner | 546.2.bg.b.467.1 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bg.a.311.1 | ✓ | 36 | 13.12 | even | 2 | ||
546.2.bg.a.311.6 | yes | 36 | 3.2 | odd | 2 | ||
546.2.bg.a.467.1 | yes | 36 | 21.5 | even | 6 | ||
546.2.bg.a.467.6 | yes | 36 | 91.12 | odd | 6 | ||
546.2.bg.b.311.1 | yes | 36 | 1.1 | even | 1 | trivial | |
546.2.bg.b.311.6 | yes | 36 | 39.38 | odd | 2 | inner | |
546.2.bg.b.467.1 | yes | 36 | 273.194 | even | 6 | inner | |
546.2.bg.b.467.6 | yes | 36 | 7.5 | odd | 6 | inner |