Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(230,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.230");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.p (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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 230.18 | ||
Character | \(\chi\) | \(=\) | 429.230 |
Dual form | 429.2.p.b.263.18 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.570464 | + | 0.988072i | −0.403379 | + | 0.698672i | −0.994131 | − | 0.108180i | \(-0.965498\pi\) |
0.590753 | + | 0.806853i | \(0.298831\pi\) | |||||||
\(3\) | 1.47818 | − | 0.902759i | 0.853430 | − | 0.521208i | ||||
\(4\) | 0.349142 | + | 0.604732i | 0.174571 | + | 0.302366i | ||||
\(5\) | − | 0.927976i | − | 0.415003i | −0.978235 | − | 0.207502i | \(-0.933467\pi\) | ||
0.978235 | − | 0.207502i | \(-0.0665332\pi\) | |||||||
\(6\) | 0.0487410 | + | 1.97554i | 0.0198984 | + | 0.806512i | ||||
\(7\) | 1.26517 | − | 0.730447i | 0.478190 | − | 0.276083i | −0.241472 | − | 0.970408i | \(-0.577630\pi\) |
0.719662 | + | 0.694325i | \(0.244297\pi\) | |||||||
\(8\) | −3.07855 | −1.08843 | ||||||||
\(9\) | 1.37005 | − | 2.66889i | 0.456684 | − | 0.889629i | ||||
\(10\) | 0.916907 | + | 0.529376i | 0.289951 | + | 0.167404i | ||||
\(11\) | 1.11647 | + | 3.12306i | 0.336629 | + | 0.941637i | ||||
\(12\) | 1.06202 | + | 0.578714i | 0.306580 | + | 0.167060i | ||||
\(13\) | 3.28660 | − | 1.48265i | 0.911539 | − | 0.411214i | ||||
\(14\) | 1.66677i | 0.445464i | ||||||||
\(15\) | −0.837738 | − | 1.37172i | −0.216303 | − | 0.354176i | ||||
\(16\) | 1.05791 | − | 1.83236i | 0.264479 | − | 0.458090i | ||||
\(17\) | 1.09224 | + | 1.89182i | 0.264908 | + | 0.458834i | 0.967540 | − | 0.252720i | \(-0.0813250\pi\) |
−0.702631 | + | 0.711554i | \(0.747992\pi\) | |||||||
\(18\) | 1.85549 | + | 2.87621i | 0.437343 | + | 0.677930i | ||||
\(19\) | 0.853358 | − | 0.492686i | 0.195774 | − | 0.113030i | −0.398909 | − | 0.916991i | \(-0.630611\pi\) |
0.594683 | + | 0.803961i | \(0.297278\pi\) | |||||||
\(20\) | 0.561177 | − | 0.323996i | 0.125483 | − | 0.0724476i | ||||
\(21\) | 1.21074 | − | 2.22188i | 0.264205 | − | 0.484854i | ||||
\(22\) | −3.72271 | − | 0.678436i | −0.793685 | − | 0.144643i | ||||
\(23\) | −0.289443 | − | 0.167110i | −0.0603529 | − | 0.0348448i | 0.469520 | − | 0.882922i | \(-0.344427\pi\) |
−0.529873 | + | 0.848077i | \(0.677760\pi\) | |||||||
\(24\) | −4.55066 | + | 2.77919i | −0.928899 | + | 0.567299i | ||||
\(25\) | 4.13886 | 0.827772 | ||||||||
\(26\) | −0.409919 | + | 4.09320i | −0.0803917 | + | 0.802742i | ||||
\(27\) | −0.384172 | − | 5.18193i | −0.0739340 | − | 0.997263i | ||||
\(28\) | 0.883449 | + | 0.510060i | 0.166956 | + | 0.0963922i | ||||
\(29\) | 0.566826 | − | 0.981772i | 0.105257 | − | 0.182310i | −0.808586 | − | 0.588378i | \(-0.799767\pi\) |
0.913843 | + | 0.406067i | \(0.133100\pi\) | |||||||
\(30\) | 1.83326 | − | 0.0452304i | 0.334705 | − | 0.00825791i | ||||
\(31\) | −6.43584 | −1.15591 | −0.577955 | − | 0.816069i | \(-0.696149\pi\) | ||||
−0.577955 | + | 0.816069i | \(0.696149\pi\) | |||||||
\(32\) | −1.87154 | − | 3.24161i | −0.330845 | − | 0.573041i | ||||
\(33\) | 4.46972 | + | 3.60855i | 0.778078 | + | 0.628167i | ||||
\(34\) | −2.49234 | −0.427433 | ||||||||
\(35\) | −0.677837 | − | 1.17405i | −0.114575 | − | 0.198450i | ||||
\(36\) | 2.09231 | − | 0.103306i | 0.348718 | − | 0.0172177i | ||||
\(37\) | −3.87545 | + | 6.71248i | −0.637121 | + | 1.10353i | 0.348941 | + | 0.937145i | \(0.386541\pi\) |
−0.986062 | + | 0.166380i | \(0.946792\pi\) | |||||||
\(38\) | 1.12424i | 0.182376i | ||||||||
\(39\) | 3.51972 | − | 5.15864i | 0.563606 | − | 0.826043i | ||||
\(40\) | 2.85682i | 0.451702i | ||||||||
\(41\) | 1.63404 | − | 2.83023i | 0.255194 | − | 0.442008i | −0.709754 | − | 0.704449i | \(-0.751194\pi\) |
0.964948 | + | 0.262441i | \(0.0845275\pi\) | |||||||
\(42\) | 1.50469 | + | 2.46380i | 0.232179 | + | 0.380172i | ||||
\(43\) | 3.51723 | − | 2.03067i | 0.536373 | − | 0.309675i | −0.207235 | − | 0.978291i | \(-0.566446\pi\) |
0.743608 | + | 0.668616i | \(0.233113\pi\) | |||||||
\(44\) | −1.49881 | + | 1.76556i | −0.225953 | + | 0.266168i | ||||
\(45\) | −2.47666 | − | 1.27138i | −0.369199 | − | 0.189525i | ||||
\(46\) | 0.330233 | − | 0.190660i | 0.0486902 | − | 0.0281113i | ||||
\(47\) | 0.882849i | 0.128777i | 0.997925 | + | 0.0643884i | \(0.0205096\pi\) | ||||
−0.997925 | + | 0.0643884i | \(0.979490\pi\) | |||||||
\(48\) | −0.0903892 | − | 3.66361i | −0.0130466 | − | 0.528796i | ||||
\(49\) | −2.43290 | + | 4.21390i | −0.347556 | + | 0.601985i | ||||
\(50\) | −2.36107 | + | 4.08949i | −0.333906 | + | 0.578342i | ||||
\(51\) | 3.32240 | + | 1.81043i | 0.465229 | + | 0.253511i | ||||
\(52\) | 2.04410 | + | 1.46986i | 0.283466 | + | 0.203832i | ||||
\(53\) | − | 4.09066i | − | 0.561896i | −0.959723 | − | 0.280948i | \(-0.909351\pi\) | ||
0.959723 | − | 0.280948i | \(-0.0906489\pi\) | |||||||
\(54\) | 5.33928 | + | 2.57651i | 0.726584 | + | 0.350619i | ||||
\(55\) | 2.89812 | − | 1.03606i | 0.390783 | − | 0.139702i | ||||
\(56\) | −3.89489 | + | 2.24871i | −0.520476 | + | 0.300497i | ||||
\(57\) | 0.816642 | − | 1.49866i | 0.108167 | − | 0.198502i | ||||
\(58\) | 0.646708 | + | 1.12013i | 0.0849169 | + | 0.147080i | ||||
\(59\) | 0.429046 | − | 0.247710i | 0.0558571 | − | 0.0322491i | −0.471811 | − | 0.881699i | \(-0.656400\pi\) |
0.527668 | + | 0.849450i | \(0.323066\pi\) | |||||||
\(60\) | 0.537032 | − | 0.985532i | 0.0693306 | − | 0.127232i | ||||
\(61\) | −10.3437 | + | 5.97196i | −1.32438 | + | 0.764632i | −0.984424 | − | 0.175810i | \(-0.943746\pi\) |
−0.339957 | + | 0.940441i | \(0.610412\pi\) | |||||||
\(62\) | 3.67141 | − | 6.35907i | 0.466270 | − | 0.807603i | ||||
\(63\) | −0.216129 | − | 4.37735i | −0.0272297 | − | 0.551494i | ||||
\(64\) | 8.50225 | 1.06278 | ||||||||
\(65\) | −1.37587 | − | 3.04989i | −0.170655 | − | 0.378292i | ||||
\(66\) | −6.11532 | + | 2.35786i | −0.752743 | + | 0.290233i | ||||
\(67\) | −2.17232 | + | 3.76256i | −0.265391 | + | 0.459670i | −0.967666 | − | 0.252235i | \(-0.918834\pi\) |
0.702275 | + | 0.711906i | \(0.252168\pi\) | |||||||
\(68\) | −0.762698 | + | 1.32103i | −0.0924907 | + | 0.160199i | ||||
\(69\) | −0.578709 | + | 0.0142780i | −0.0696684 | + | 0.00171887i | ||||
\(70\) | 1.54673 | 0.184869 | ||||||||
\(71\) | −9.85358 | + | 5.68897i | −1.16941 | + | 0.675156i | −0.953540 | − | 0.301267i | \(-0.902591\pi\) |
−0.215865 | + | 0.976423i | \(0.569257\pi\) | |||||||
\(72\) | −4.21777 | + | 8.21629i | −0.497069 | + | 0.968299i | ||||
\(73\) | 4.71804i | 0.552205i | 0.961128 | + | 0.276103i | \(0.0890430\pi\) | ||||
−0.961128 | + | 0.276103i | \(0.910957\pi\) | |||||||
\(74\) | −4.42161 | − | 7.65845i | −0.514002 | − | 0.890277i | ||||
\(75\) | 6.11800 | − | 3.73639i | 0.706445 | − | 0.431442i | ||||
\(76\) | 0.595887 | + | 0.344035i | 0.0683529 | + | 0.0394636i | ||||
\(77\) | 3.69376 | + | 3.13568i | 0.420943 | + | 0.357344i | ||||
\(78\) | 3.08924 | + | 6.42055i | 0.349787 | + | 0.726985i | ||||
\(79\) | − | 5.61036i | − | 0.631215i | −0.948890 | − | 0.315607i | \(-0.897792\pi\) | ||
0.948890 | − | 0.315607i | \(-0.102208\pi\) | |||||||
\(80\) | −1.70039 | − | 0.981719i | −0.190109 | − | 0.109760i | ||||
\(81\) | −5.24591 | − | 7.31303i | −0.582879 | − | 0.812559i | ||||
\(82\) | 1.86432 | + | 3.22909i | 0.205879 | + | 0.356593i | ||||
\(83\) | −10.2994 | −1.13050 | −0.565251 | − | 0.824919i | \(-0.691221\pi\) | ||||
−0.565251 | + | 0.824919i | \(0.691221\pi\) | |||||||
\(84\) | 1.76636 | − | 0.0435800i | 0.192726 | − | 0.00475497i | ||||
\(85\) | 1.75557 | − | 1.01358i | 0.190418 | − | 0.109938i | ||||
\(86\) | 4.63370i | 0.499665i | ||||||||
\(87\) | −0.0484302 | − | 1.96295i | −0.00519226 | − | 0.210450i | ||||
\(88\) | −3.43711 | − | 9.61448i | −0.366397 | − | 1.02491i | ||||
\(89\) | −10.3876 | − | 5.99731i | −1.10109 | − | 0.635713i | −0.164581 | − | 0.986363i | \(-0.552627\pi\) |
−0.936507 | + | 0.350650i | \(0.885961\pi\) | |||||||
\(90\) | 2.66906 | − | 1.72185i | 0.281343 | − | 0.181499i | ||||
\(91\) | 3.07511 | − | 4.27650i | 0.322359 | − | 0.448298i | ||||
\(92\) | − | 0.233380i | − | 0.0243316i | ||||||
\(93\) | −9.51335 | + | 5.81001i | −0.986488 | + | 0.602470i | ||||
\(94\) | −0.872318 | − | 0.503633i | −0.0899728 | − | 0.0519458i | ||||
\(95\) | −0.457201 | − | 0.791895i | −0.0469078 | − | 0.0812467i | ||||
\(96\) | −5.69287 | − | 3.10214i | −0.581027 | − | 0.316611i | ||||
\(97\) | −1.49898 | − | 2.59630i | −0.152198 | − | 0.263615i | 0.779837 | − | 0.625982i | \(-0.215302\pi\) |
−0.932035 | + | 0.362368i | \(0.881968\pi\) | |||||||
\(98\) | −2.77576 | − | 4.80775i | −0.280394 | − | 0.485656i | ||||
\(99\) | 9.86471 | + | 1.29901i | 0.991441 | + | 0.130556i | ||||
\(100\) | 1.44505 | + | 2.50290i | 0.144505 | + | 0.250290i | ||||
\(101\) | 2.75019 | − | 4.76346i | 0.273654 | − | 0.473982i | −0.696141 | − | 0.717905i | \(-0.745101\pi\) |
0.969795 | + | 0.243923i | \(0.0784344\pi\) | |||||||
\(102\) | −3.68414 | + | 2.24999i | −0.364784 | + | 0.222782i | ||||
\(103\) | −0.171113 | −0.0168602 | −0.00843012 | − | 0.999964i | \(-0.502683\pi\) | ||||
−0.00843012 | + | 0.999964i | \(0.502683\pi\) | |||||||
\(104\) | −10.1180 | + | 4.56441i | −0.992147 | + | 0.447578i | ||||
\(105\) | −2.06185 | − | 1.12353i | −0.201216 | − | 0.109646i | ||||
\(106\) | 4.04187 | + | 2.33358i | 0.392581 | + | 0.226657i | ||||
\(107\) | 5.08718 | − | 8.81125i | 0.491796 | − | 0.851815i | −0.508160 | − | 0.861263i | \(-0.669674\pi\) |
0.999955 | + | 0.00944760i | \(0.00300731\pi\) | |||||||
\(108\) | 2.99955 | − | 2.04155i | 0.288632 | − | 0.196449i | ||||
\(109\) | − | 20.1337i | − | 1.92846i | −0.265076 | − | 0.964228i | \(-0.585397\pi\) | ||
0.265076 | − | 0.964228i | \(-0.414603\pi\) | |||||||
\(110\) | −0.629572 | + | 3.45459i | −0.0600273 | + | 0.329382i | ||||
\(111\) | 0.331122 | + | 13.4209i | 0.0314287 | + | 1.27385i | ||||
\(112\) | − | 3.09100i | − | 0.292072i | ||||||
\(113\) | 14.6725 | − | 8.47119i | 1.38028 | − | 0.796902i | 0.388084 | − | 0.921624i | \(-0.373137\pi\) |
0.992192 | + | 0.124722i | \(0.0398039\pi\) | |||||||
\(114\) | 1.01492 | + | 1.66183i | 0.0950556 | + | 0.155645i | ||||
\(115\) | −0.155074 | + | 0.268596i | −0.0144607 | + | 0.0250467i | ||||
\(116\) | 0.791612 | 0.0734993 | ||||||||
\(117\) | 0.545784 | − | 10.8029i | 0.0504578 | − | 0.998726i | ||||
\(118\) | 0.565238i | 0.0520344i | ||||||||
\(119\) | 2.76375 | + | 1.59565i | 0.253353 | + | 0.146273i | ||||
\(120\) | 2.57902 | + | 4.22290i | 0.235431 | + | 0.385496i | ||||
\(121\) | −8.50698 | + | 6.97362i | −0.773362 | + | 0.633965i | ||||
\(122\) | − | 13.6272i | − | 1.23374i | ||||||
\(123\) | −0.139614 | − | 5.65875i | −0.0125885 | − | 0.510232i | ||||
\(124\) | −2.24702 | − | 3.89196i | −0.201789 | − | 0.349508i | ||||
\(125\) | − | 8.48064i | − | 0.758532i | ||||||
\(126\) | 4.44843 | + | 2.28357i | 0.396298 | + | 0.203436i | ||||
\(127\) | −1.98295 | − | 1.14486i | −0.175959 | − | 0.101590i | 0.409434 | − | 0.912340i | \(-0.365726\pi\) |
−0.585393 | + | 0.810750i | \(0.699060\pi\) | |||||||
\(128\) | −1.10714 | + | 1.91762i | −0.0978581 | + | 0.169495i | ||||
\(129\) | 3.36590 | − | 6.17692i | 0.296351 | − | 0.543848i | ||||
\(130\) | 3.79839 | + | 0.380395i | 0.333141 | + | 0.0333628i | ||||
\(131\) | −14.3552 | −1.25422 | −0.627111 | − | 0.778930i | \(-0.715763\pi\) | ||||
−0.627111 | + | 0.778930i | \(0.715763\pi\) | |||||||
\(132\) | −0.621636 | + | 3.96288i | −0.0541065 | + | 0.344924i | ||||
\(133\) | 0.719762 | − | 1.24666i | 0.0624113 | − | 0.108100i | ||||
\(134\) | −2.47846 | − | 4.29281i | −0.214106 | − | 0.370843i | ||||
\(135\) | −4.80871 | + | 0.356503i | −0.413868 | + | 0.0306829i | ||||
\(136\) | −3.36253 | − | 5.82407i | −0.288334 | − | 0.499410i | ||||
\(137\) | −6.15737 | + | 3.55496i | −0.526060 | + | 0.303721i | −0.739410 | − | 0.673255i | \(-0.764896\pi\) |
0.213351 | + | 0.976976i | \(0.431562\pi\) | |||||||
\(138\) | 0.316025 | − | 0.579951i | 0.0269018 | − | 0.0493687i | ||||
\(139\) | −17.4767 | + | 10.0902i | −1.48235 | + | 0.855838i | −0.999799 | − | 0.0200280i | \(-0.993624\pi\) |
−0.482555 | + | 0.875866i | \(0.660291\pi\) | |||||||
\(140\) | 0.473323 | − | 0.819820i | 0.0400031 | − | 0.0692874i | ||||
\(141\) | 0.797000 | + | 1.30501i | 0.0671195 | + | 0.109902i | ||||
\(142\) | − | 12.9814i | − | 1.08937i | ||||||
\(143\) | 8.29981 | + | 8.60890i | 0.694065 | + | 0.719913i | ||||
\(144\) | −3.44097 | − | 5.33389i | −0.286747 | − | 0.444490i | ||||
\(145\) | −0.911061 | − | 0.526001i | −0.0756595 | − | 0.0436820i | ||||
\(146\) | −4.66177 | − | 2.69147i | −0.385811 | − | 0.222748i | ||||
\(147\) | 0.207869 | + | 8.42523i | 0.0171447 | + | 0.694901i | ||||
\(148\) | −5.41234 | −0.444891 | ||||||||
\(149\) | 5.00064 | + | 8.66136i | 0.409668 | + | 0.709567i | 0.994852 | − | 0.101334i | \(-0.0323111\pi\) |
−0.585184 | + | 0.810901i | \(0.698978\pi\) | |||||||
\(150\) | 0.201732 | + | 8.17650i | 0.0164714 | + | 0.667608i | ||||
\(151\) | 10.4882i | 0.853516i | 0.904366 | + | 0.426758i | \(0.140344\pi\) | ||||
−0.904366 | + | 0.426758i | \(0.859656\pi\) | |||||||
\(152\) | −2.62710 | + | 1.51676i | −0.213086 | + | 0.123025i | ||||
\(153\) | 6.54549 | − | 0.323180i | 0.529172 | − | 0.0261275i | ||||
\(154\) | −5.20543 | + | 1.86091i | −0.419465 | + | 0.149956i | ||||
\(155\) | 5.97230i | 0.479707i | ||||||||
\(156\) | 4.34848 | + | 0.327389i | 0.348157 | + | 0.0262121i | ||||
\(157\) | −21.5349 | −1.71867 | −0.859335 | − | 0.511413i | \(-0.829122\pi\) | ||||
−0.859335 | + | 0.511413i | \(0.829122\pi\) | |||||||
\(158\) | 5.54344 | + | 3.20051i | 0.441012 | + | 0.254619i | ||||
\(159\) | −3.69288 | − | 6.04675i | −0.292865 | − | 0.479539i | ||||
\(160\) | −3.00813 | + | 1.73675i | −0.237814 | + | 0.137302i | ||||
\(161\) | −0.488259 | −0.0384802 | ||||||||
\(162\) | 10.2184 | − | 1.01152i | 0.802834 | − | 0.0794726i | ||||
\(163\) | 0.112393 | + | 0.194671i | 0.00880334 | + | 0.0152478i | 0.870394 | − | 0.492357i | \(-0.163864\pi\) |
−0.861590 | + | 0.507605i | \(0.830531\pi\) | |||||||
\(164\) | 2.28205 | 0.178198 | ||||||||
\(165\) | 3.34864 | − | 4.14779i | 0.260692 | − | 0.322905i | ||||
\(166\) | 5.87541 | − | 10.1765i | 0.456020 | − | 0.789850i | ||||
\(167\) | 0.169742 | − | 0.294001i | 0.0131350 | − | 0.0227505i | −0.859383 | − | 0.511332i | \(-0.829152\pi\) |
0.872518 | + | 0.488582i | \(0.162486\pi\) | |||||||
\(168\) | −3.72731 | + | 6.84016i | −0.287568 | + | 0.527730i | ||||
\(169\) | 8.60348 | − | 9.74577i | 0.661807 | − | 0.749675i | ||||
\(170\) | 2.31283i | 0.177386i | ||||||||
\(171\) | −0.145779 | − | 2.95252i | −0.0111480 | − | 0.225785i | ||||
\(172\) | 2.45603 | + | 1.41799i | 0.187270 | + | 0.108121i | ||||
\(173\) | 12.4673 | + | 21.5940i | 0.947872 | + | 1.64176i | 0.749896 | + | 0.661555i | \(0.230103\pi\) |
0.197976 | + | 0.980207i | \(0.436563\pi\) | |||||||
\(174\) | 1.96716 | + | 1.07194i | 0.149130 | + | 0.0812633i | ||||
\(175\) | 5.23637 | − | 3.02322i | 0.395832 | − | 0.228534i | ||||
\(176\) | 6.90370 | + | 1.25815i | 0.520386 | + | 0.0948364i | ||||
\(177\) | 0.410587 | − | 0.753486i | 0.0308616 | − | 0.0566355i | ||||
\(178\) | 11.8515 | − | 6.84249i | 0.888311 | − | 0.512867i | ||||
\(179\) | 6.83500 | + | 3.94619i | 0.510872 | + | 0.294952i | 0.733192 | − | 0.680022i | \(-0.238030\pi\) |
−0.222320 | + | 0.974974i | \(0.571363\pi\) | |||||||
\(180\) | −0.0958658 | − | 1.94161i | −0.00714541 | − | 0.144719i | ||||
\(181\) | 2.98530 | 0.221896 | 0.110948 | − | 0.993826i | \(-0.464611\pi\) | ||||
0.110948 | + | 0.993826i | \(0.464611\pi\) | |||||||
\(182\) | 2.47125 | + | 5.47802i | 0.183181 | + | 0.406058i | ||||
\(183\) | −9.89871 | + | 18.1656i | −0.731734 | + | 1.34284i | ||||
\(184\) | 0.891063 | + | 0.514455i | 0.0656900 | + | 0.0379261i | ||||
\(185\) | 6.22902 | + | 3.59633i | 0.457967 | + | 0.264407i | ||||
\(186\) | −0.313689 | − | 12.7143i | −0.0230008 | − | 0.932256i | ||||
\(187\) | −4.68881 | + | 5.52331i | −0.342880 | + | 0.403904i | ||||
\(188\) | −0.533887 | + | 0.308240i | −0.0389377 | + | 0.0224807i | ||||
\(189\) | −4.27117 | − | 6.27541i | −0.310682 | − | 0.456469i | ||||
\(190\) | 1.04327 | 0.0756865 | ||||||||
\(191\) | 18.4730 | − | 10.6654i | 1.33666 | − | 0.771719i | 0.350346 | − | 0.936620i | \(-0.386064\pi\) |
0.986310 | + | 0.164901i | \(0.0527306\pi\) | |||||||
\(192\) | 12.5679 | − | 7.67548i | 0.907009 | − | 0.553930i | ||||
\(193\) | 16.9112 | + | 9.76367i | 1.21729 | + | 0.702804i | 0.964338 | − | 0.264674i | \(-0.0852643\pi\) |
0.252955 | + | 0.967478i | \(0.418598\pi\) | |||||||
\(194\) | 3.42045 | 0.245574 | ||||||||
\(195\) | −4.78709 | − | 3.26622i | −0.342811 | − | 0.233899i | ||||
\(196\) | −3.39771 | −0.242693 | ||||||||
\(197\) | −1.01805 | + | 1.76331i | −0.0725329 | + | 0.125631i | −0.900011 | − | 0.435868i | \(-0.856442\pi\) |
0.827478 | + | 0.561498i | \(0.189775\pi\) | |||||||
\(198\) | −6.91098 | + | 9.00601i | −0.491142 | + | 0.640029i | ||||
\(199\) | −0.495891 | − | 0.858908i | −0.0351528 | − | 0.0608864i | 0.847914 | − | 0.530134i | \(-0.177858\pi\) |
−0.883067 | + | 0.469248i | \(0.844525\pi\) | |||||||
\(200\) | −12.7417 | −0.900973 | ||||||||
\(201\) | 0.185605 | + | 7.52284i | 0.0130916 | + | 0.530620i | ||||
\(202\) | 3.13776 | + | 5.43476i | 0.220772 | + | 0.382389i | ||||
\(203\) | − | 1.65615i | − | 0.116239i | ||||||
\(204\) | 0.0651656 | + | 2.64126i | 0.00456250 | + | 0.184925i | ||||
\(205\) | −2.62639 | − | 1.51635i | −0.183435 | − | 0.105906i | ||||
\(206\) | 0.0976137 | − | 0.169072i | 0.00680107 | − | 0.0117798i | ||||
\(207\) | −0.842548 | + | 0.543540i | −0.0585612 | + | 0.0377787i | ||||
\(208\) | 0.760187 | − | 7.59076i | 0.0527095 | − | 0.526325i | ||||
\(209\) | 2.49144 | + | 2.11501i | 0.172336 | + | 0.146299i | ||||
\(210\) | 2.28634 | − | 1.39632i | 0.157773 | − | 0.0963552i | ||||
\(211\) | 16.5731 | + | 9.56849i | 1.14094 | + | 0.658722i | 0.946663 | − | 0.322224i | \(-0.104431\pi\) |
0.194277 | + | 0.980947i | \(0.437764\pi\) | |||||||
\(212\) | 2.47376 | − | 1.42822i | 0.169898 | − | 0.0980909i | ||||
\(213\) | −9.42964 | + | 17.3047i | −0.646108 | + | 1.18570i | ||||
\(214\) | 5.80410 | + | 10.0530i | 0.396760 | + | 0.687208i | ||||
\(215\) | −1.88442 | − | 3.26390i | −0.128516 | − | 0.222596i | ||||
\(216\) | 1.18269 | + | 15.9528i | 0.0804720 | + | 1.08545i | ||||
\(217\) | −8.14243 | + | 4.70104i | −0.552744 | + | 0.319127i | ||||
\(218\) | 19.8935 | + | 11.4855i | 1.34736 | + | 0.777898i | ||||
\(219\) | 4.25926 | + | 6.97413i | 0.287814 | + | 0.471268i | ||||
\(220\) | 1.63840 | + | 1.39086i | 0.110461 | + | 0.0937715i | ||||
\(221\) | 6.39469 | + | 4.59825i | 0.430153 | + | 0.309312i | ||||
\(222\) | −13.4497 | − | 7.32895i | −0.902684 | − | 0.491887i | ||||
\(223\) | 4.07415 | − | 7.05663i | 0.272825 | − | 0.472547i | −0.696759 | − | 0.717305i | \(-0.745375\pi\) |
0.969584 | + | 0.244758i | \(0.0787087\pi\) | |||||||
\(224\) | −4.73564 | − | 2.73413i | −0.316414 | − | 0.182681i | ||||
\(225\) | 5.67046 | − | 11.0462i | 0.378030 | − | 0.736410i | ||||
\(226\) | 19.3300i | 1.28581i | ||||||||
\(227\) | 12.9851 | + | 22.4908i | 0.861850 | + | 1.49277i | 0.870141 | + | 0.492803i | \(0.164028\pi\) |
−0.00829052 | + | 0.999966i | \(0.502639\pi\) | |||||||
\(228\) | 1.19141 | − | 0.0293947i | 0.0789031 | − | 0.00194671i | ||||
\(229\) | 0.699004 | 0.0461915 | 0.0230958 | − | 0.999733i | \(-0.492648\pi\) | ||||
0.0230958 | + | 0.999733i | \(0.492648\pi\) | |||||||
\(230\) | −0.176928 | − | 0.306448i | −0.0116663 | − | 0.0202066i | ||||
\(231\) | 8.29081 | + | 1.30054i | 0.545495 | + | 0.0855690i | ||||
\(232\) | −1.74500 | + | 3.02243i | −0.114565 | + | 0.198432i | ||||
\(233\) | 1.12199 | 0.0735038 | 0.0367519 | − | 0.999324i | \(-0.488299\pi\) | ||||
0.0367519 | + | 0.999324i | \(0.488299\pi\) | |||||||
\(234\) | 10.3627 | + | 6.70192i | 0.677429 | + | 0.438118i | ||||
\(235\) | 0.819262 | 0.0534428 | ||||||||
\(236\) | 0.299596 | + | 0.172972i | 0.0195021 | + | 0.0112595i | ||||
\(237\) | −5.06480 | − | 8.29314i | −0.328994 | − | 0.538697i | ||||
\(238\) | −3.15324 | + | 1.82052i | −0.204394 | + | 0.118007i | ||||
\(239\) | −19.9061 | −1.28762 | −0.643808 | − | 0.765187i | \(-0.722647\pi\) | ||||
−0.643808 | + | 0.765187i | \(0.722647\pi\) | |||||||
\(240\) | −3.39974 | + | 0.0838790i | −0.219452 | + | 0.00541437i | ||||
\(241\) | 10.4129 | − | 6.01186i | 0.670751 | − | 0.387258i | −0.125610 | − | 0.992080i | \(-0.540089\pi\) |
0.796361 | + | 0.604822i | \(0.206756\pi\) | |||||||
\(242\) | −2.03751 | − | 12.3837i | −0.130976 | − | 0.796055i | ||||
\(243\) | −14.3563 | − | 6.07421i | −0.920959 | − | 0.389660i | ||||
\(244\) | −7.22288 | − | 4.17013i | −0.462397 | − | 0.266965i | ||||
\(245\) | 3.91040 | + | 2.25767i | 0.249826 | + | 0.144237i | ||||
\(246\) | 5.67089 | + | 3.09016i | 0.361563 | + | 0.197021i | ||||
\(247\) | 2.07416 | − | 2.88450i | 0.131976 | − | 0.183536i | ||||
\(248\) | 19.8130 | 1.25813 | ||||||||
\(249\) | −15.2243 | + | 9.29784i | −0.964803 | + | 0.589226i | ||||
\(250\) | 8.37949 | + | 4.83790i | 0.529965 | + | 0.305976i | ||||
\(251\) | −9.03861 | + | 5.21845i | −0.570512 | + | 0.329385i | −0.757354 | − | 0.653005i | \(-0.773508\pi\) |
0.186842 | + | 0.982390i | \(0.440175\pi\) | |||||||
\(252\) | 2.57166 | − | 1.65902i | 0.162000 | − | 0.104508i | ||||
\(253\) | 0.198739 | − | 1.09052i | 0.0124946 | − | 0.0685604i | ||||
\(254\) | 2.26241 | − | 1.30620i | 0.141956 | − | 0.0819583i | ||||
\(255\) | 1.68003 | − | 3.08310i | 0.105208 | − | 0.193071i | ||||
\(256\) | 7.23908 | + | 12.5385i | 0.452443 | + | 0.783654i | ||||
\(257\) | −2.27187 | − | 1.31167i | −0.141716 | − | 0.0818196i | 0.427466 | − | 0.904032i | \(-0.359406\pi\) |
−0.569181 | + | 0.822212i | \(0.692740\pi\) | |||||||
\(258\) | 4.18312 | + | 6.84946i | 0.260430 | + | 0.426429i | ||||
\(259\) | 11.3232i | 0.703592i | ||||||||
\(260\) | 1.36399 | − | 1.89687i | 0.0845911 | − | 0.117639i | ||||
\(261\) | −1.84366 | − | 2.85787i | −0.114119 | − | 0.176898i | ||||
\(262\) | 8.18913 | − | 14.1840i | 0.505926 | − | 0.876290i | ||||
\(263\) | −10.3913 | + | 17.9982i | −0.640754 | + | 1.10982i | 0.344511 | + | 0.938782i | \(0.388045\pi\) |
−0.985265 | + | 0.171036i | \(0.945289\pi\) | |||||||
\(264\) | −13.7602 | − | 11.1091i | −0.846884 | − | 0.683717i | ||||
\(265\) | −3.79604 | −0.233189 | ||||||||
\(266\) | 0.821196 | + | 1.42235i | 0.0503508 | + | 0.0872101i | ||||
\(267\) | −20.7690 | + | 0.512416i | −1.27104 | + | 0.0313593i | ||||
\(268\) | −3.03379 | −0.185318 | ||||||||
\(269\) | 10.4288 | − | 6.02109i | 0.635858 | − | 0.367113i | −0.147159 | − | 0.989113i | \(-0.547013\pi\) |
0.783017 | + | 0.622000i | \(0.213680\pi\) | |||||||
\(270\) | 2.39094 | − | 4.95472i | 0.145508 | − | 0.301535i | ||||
\(271\) | −21.9876 | − | 12.6945i | −1.33565 | − | 0.771139i | −0.349492 | − | 0.936939i | \(-0.613646\pi\) |
−0.986159 | + | 0.165801i | \(0.946979\pi\) | |||||||
\(272\) | 4.62201 | 0.280250 | ||||||||
\(273\) | 0.684936 | − | 9.09753i | 0.0414542 | − | 0.550608i | ||||
\(274\) | − | 8.11191i | − | 0.490058i | ||||||
\(275\) | 4.62092 | + | 12.9259i | 0.278652 | + | 0.779461i | ||||
\(276\) | −0.210686 | − | 0.344979i | −0.0126818 | − | 0.0207653i | ||||
\(277\) | 13.4320 | − | 7.75496i | 0.807050 | − | 0.465950i | −0.0388805 | − | 0.999244i | \(-0.512379\pi\) |
0.845930 | + | 0.533293i | \(0.179046\pi\) | |||||||
\(278\) | − | 23.0243i | − | 1.38091i | ||||||
\(279\) | −8.81743 | + | 17.1765i | −0.527886 | + | 1.02833i | ||||
\(280\) | 2.08675 | + | 3.61436i | 0.124707 | + | 0.215999i | ||||
\(281\) | 2.72537 | 0.162582 | 0.0812910 | − | 0.996690i | \(-0.474096\pi\) | ||||
0.0812910 | + | 0.996690i | \(0.474096\pi\) | |||||||
\(282\) | −1.74411 | + | 0.0430309i | −0.103860 | + | 0.00256245i | ||||
\(283\) | 11.2432 | + | 6.49127i | 0.668339 | + | 0.385866i | 0.795447 | − | 0.606023i | \(-0.207236\pi\) |
−0.127108 | + | 0.991889i | \(0.540569\pi\) | |||||||
\(284\) | −6.88061 | − | 3.97252i | −0.408289 | − | 0.235726i | ||||
\(285\) | −1.39072 | − | 0.757824i | −0.0823790 | − | 0.0448896i | ||||
\(286\) | −13.2410 | + | 3.28974i | −0.782954 | + | 0.194527i | ||||
\(287\) | − | 4.77431i | − | 0.281818i | ||||||
\(288\) | −11.2156 | + | 0.553764i | −0.660885 | + | 0.0326308i | ||||
\(289\) | 6.11400 | − | 10.5898i | 0.359647 | − | 0.622927i | ||||
\(290\) | 1.03945 | − | 0.600129i | 0.0610388 | − | 0.0352408i | ||||
\(291\) | −4.55960 | − | 2.48460i | −0.267288 | − | 0.145650i | ||||
\(292\) | −2.85315 | + | 1.64727i | −0.166968 | + | 0.0963991i | ||||
\(293\) | 15.1442 | + | 26.2305i | 0.884734 | + | 1.53240i | 0.846018 | + | 0.533154i | \(0.178993\pi\) |
0.0387155 | + | 0.999250i | \(0.487673\pi\) | |||||||
\(294\) | −8.44332 | − | 4.60090i | −0.492424 | − | 0.268330i | ||||
\(295\) | −0.229869 | − | 0.398144i | −0.0133835 | − | 0.0231809i | ||||
\(296\) | 11.9308 | − | 20.6647i | 0.693462 | − | 1.20111i | ||||
\(297\) | 15.7546 | − | 6.98528i | 0.914172 | − | 0.405327i | ||||
\(298\) | −11.4107 | −0.661006 | ||||||||
\(299\) | −1.19905 | − | 0.120080i | −0.0693427 | − | 0.00694442i | ||||
\(300\) | 4.39557 | + | 2.39522i | 0.253778 | + | 0.138288i | ||||
\(301\) | 2.96660 | − | 5.13830i | 0.170992 | − | 0.296167i | ||||
\(302\) | −10.3631 | − | 5.98312i | −0.596328 | − | 0.344290i | ||||
\(303\) | −0.234978 | − | 9.52403i | −0.0134992 | − | 0.547141i | ||||
\(304\) | − | 2.08488i | − | 0.119576i | ||||||
\(305\) | 5.54184 | + | 9.59874i | 0.317325 | + | 0.549622i | ||||
\(306\) | −3.41464 | + | 6.65178i | −0.195202 | + | 0.380257i | ||||
\(307\) | − | 26.8409i | − | 1.53189i | −0.642904 | − | 0.765946i | \(-0.722271\pi\) | ||
0.642904 | − | 0.765946i | \(-0.277729\pi\) | |||||||
\(308\) | −0.606599 | + | 3.32853i | −0.0345642 | + | 0.189661i | ||||
\(309\) | −0.252936 | + | 0.154474i | −0.0143890 | + | 0.00878770i | ||||
\(310\) | −5.90106 | − | 3.40698i | −0.335158 | − | 0.193503i | ||||
\(311\) | 0.0891930i | 0.00505767i | 0.999997 | + | 0.00252884i | \(0.000804955\pi\) | ||||
−0.999997 | + | 0.00252884i | \(0.999195\pi\) | |||||||
\(312\) | −10.8356 | + | 15.8811i | −0.613446 | + | 0.899091i | ||||
\(313\) | −4.46668 | −0.252472 | −0.126236 | − | 0.992000i | \(-0.540290\pi\) | ||||
−0.126236 | + | 0.992000i | \(0.540290\pi\) | |||||||
\(314\) | 12.2849 | − | 21.2780i | 0.693275 | − | 1.20079i | ||||
\(315\) | −4.06207 | + | 0.200562i | −0.228872 | + | 0.0113004i | ||||
\(316\) | 3.39276 | − | 1.95881i | 0.190858 | − | 0.110192i | ||||
\(317\) | − | 31.8200i | − | 1.78719i | −0.448876 | − | 0.893594i | \(-0.648175\pi\) | ||
0.448876 | − | 0.893594i | \(-0.351825\pi\) | |||||||
\(318\) | 8.08128 | − | 0.199383i | 0.453176 | − | 0.0111808i | ||||
\(319\) | 3.69898 | + | 0.674110i | 0.207103 | + | 0.0377429i | ||||
\(320\) | − | 7.88988i | − | 0.441058i | ||||||
\(321\) | −0.434653 | − | 17.6171i | −0.0242600 | − | 0.983292i | ||||
\(322\) | 0.278534 | − | 0.482435i | 0.0155221 | − | 0.0268851i | ||||
\(323\) | 1.86415 | + | 1.07627i | 0.103724 | + | 0.0598851i | ||||
\(324\) | 2.59086 | − | 5.72566i | 0.143936 | − | 0.318092i | ||||
\(325\) | 13.6028 | − | 6.13649i | 0.754547 | − | 0.340391i | ||||
\(326\) | −0.256466 | −0.0142043 | ||||||||
\(327\) | −18.1758 | − | 29.7612i | −1.00513 | − | 1.64580i | ||||
\(328\) | −5.03046 | + | 8.71301i | −0.277761 | + | 0.481095i | ||||
\(329\) | 0.644874 | + | 1.11695i | 0.0355531 | + | 0.0615797i | ||||
\(330\) | 2.18804 | + | 5.67487i | 0.120447 | + | 0.312391i | ||||
\(331\) | 12.7427 | + | 22.0711i | 0.700405 | + | 1.21314i | 0.968324 | + | 0.249695i | \(0.0803305\pi\) |
−0.267920 | + | 0.963441i | \(0.586336\pi\) | |||||||
\(332\) | −3.59594 | − | 6.22835i | −0.197353 | − | 0.341825i | ||||
\(333\) | 12.6053 | + | 19.5396i | 0.690765 | + | 1.07076i | ||||
\(334\) | 0.193663 | + | 0.335434i | 0.0105968 | + | 0.0183541i | ||||
\(335\) | 3.49157 | + | 2.01586i | 0.190765 | + | 0.110138i | ||||
\(336\) | −2.79043 | − | 4.56907i | −0.152230 | − | 0.249263i | ||||
\(337\) | 4.47706i | 0.243881i | 0.992537 | + | 0.121940i | \(0.0389117\pi\) | ||||
−0.992537 | + | 0.121940i | \(0.961088\pi\) | |||||||
\(338\) | 4.72155 | + | 14.0605i | 0.256818 | + | 0.764789i | ||||
\(339\) | 14.0412 | − | 25.7677i | 0.762616 | − | 1.39951i | ||||
\(340\) | 1.22588 | + | 0.707765i | 0.0664829 | + | 0.0383839i | ||||
\(341\) | −7.18543 | − | 20.0995i | −0.389113 | − | 1.08845i | ||||
\(342\) | 3.00047 | + | 1.54027i | 0.162247 | + | 0.0832880i | ||||
\(343\) | 17.3347i | 0.935983i | ||||||||
\(344\) | −10.8280 | + | 6.25153i | −0.583804 | + | 0.337060i | ||||
\(345\) | 0.0132497 | + | 0.537028i | 0.000713337 | + | 0.0289126i | ||||
\(346\) | −28.4486 | −1.52941 | ||||||||
\(347\) | −7.41987 | − | 12.8516i | −0.398319 | − | 0.689909i | 0.595199 | − | 0.803578i | \(-0.297073\pi\) |
−0.993519 | + | 0.113669i | \(0.963740\pi\) | |||||||
\(348\) | 1.17015 | − | 0.714635i | 0.0627265 | − | 0.0383085i | ||||
\(349\) | −9.50013 | − | 5.48490i | −0.508530 | − | 0.293600i | 0.223699 | − | 0.974658i | \(-0.428187\pi\) |
−0.732229 | + | 0.681058i | \(0.761520\pi\) | |||||||
\(350\) | 6.89854i | 0.368743i | ||||||||
\(351\) | −8.94562 | − | 16.4613i | −0.477482 | − | 0.878642i | ||||
\(352\) | 8.03420 | − | 9.46410i | 0.428224 | − | 0.504438i | ||||
\(353\) | 29.8543 | + | 17.2364i | 1.58898 | + | 0.917399i | 0.993475 | + | 0.114049i | \(0.0363820\pi\) |
0.595507 | + | 0.803350i | \(0.296951\pi\) | |||||||
\(354\) | 0.510274 | + | 0.835526i | 0.0271207 | + | 0.0444077i | ||||
\(355\) | 5.27922 | + | 9.14389i | 0.280192 | + | 0.485307i | ||||
\(356\) | − | 8.37566i | − | 0.443909i | ||||||
\(357\) | 5.52582 | − | 0.136334i | 0.292458 | − | 0.00721557i | ||||
\(358\) | −7.79824 | + | 4.50231i | −0.412150 | + | 0.237955i | ||||
\(359\) | −18.6671 | −0.985210 | −0.492605 | − | 0.870253i | \(-0.663955\pi\) | ||||
−0.492605 | + | 0.870253i | \(0.663955\pi\) | |||||||
\(360\) | 7.62452 | + | 3.91399i | 0.401848 | + | 0.206285i | ||||
\(361\) | −9.01452 | + | 15.6136i | −0.474448 | + | 0.821769i | ||||
\(362\) | −1.70301 | + | 2.94969i | −0.0895080 | + | 0.155032i | ||||
\(363\) | −6.27938 | + | 17.9880i | −0.329582 | + | 0.944127i | ||||
\(364\) | 3.65979 | + | 0.366514i | 0.191825 | + | 0.0192106i | ||||
\(365\) | 4.37823 | 0.229167 | ||||||||
\(366\) | −12.3020 | − | 20.1434i | −0.643038 | − | 1.05291i | ||||
\(367\) | −11.9648 | + | 20.7237i | −0.624559 | + | 1.08177i | 0.364067 | + | 0.931373i | \(0.381388\pi\) |
−0.988626 | + | 0.150395i | \(0.951946\pi\) | |||||||
\(368\) | −0.612411 | + | 0.353576i | −0.0319241 | + | 0.0184314i | ||||
\(369\) | −5.31486 | − | 8.23863i | −0.276680 | − | 0.428886i | ||||
\(370\) | −7.10686 | + | 4.10315i | −0.369468 | + | 0.213312i | ||||
\(371\) | −2.98801 | − | 5.17539i | −0.155130 | − | 0.268693i | ||||
\(372\) | −6.83501 | − | 3.72451i | −0.354379 | − | 0.193107i | ||||
\(373\) | 3.76666 | − | 2.17468i | 0.195030 | − | 0.112601i | −0.399305 | − | 0.916818i | \(-0.630749\pi\) |
0.594335 | + | 0.804217i | \(0.297415\pi\) | |||||||
\(374\) | −2.78263 | − | 7.78373i | −0.143887 | − | 0.402487i | ||||
\(375\) | −7.65597 | − | 12.5359i | −0.395353 | − | 0.647353i | ||||
\(376\) | − | 2.71789i | − | 0.140165i | ||||||
\(377\) | 0.407305 | − | 4.06710i | 0.0209773 | − | 0.209466i | ||||
\(378\) | 8.63711 | − | 0.640328i | 0.444245 | − | 0.0329349i | ||||
\(379\) | 15.0007 | − | 25.9820i | 0.770535 | − | 1.33461i | −0.166734 | − | 0.986002i | \(-0.553322\pi\) |
0.937270 | − | 0.348605i | \(-0.113344\pi\) | |||||||
\(380\) | 0.319256 | − | 0.552968i | 0.0163775 | − | 0.0283667i | ||||
\(381\) | −3.96470 | + | 0.0978178i | −0.203118 | + | 0.00501136i | ||||
\(382\) | 24.3368i | 1.24518i | ||||||||
\(383\) | −18.1198 | + | 10.4615i | −0.925877 | + | 0.534555i | −0.885505 | − | 0.464629i | \(-0.846188\pi\) |
−0.0403719 | + | 0.999185i | \(0.512854\pi\) | |||||||
\(384\) | 0.0945949 | + | 3.83407i | 0.00482727 | + | 0.195657i | ||||
\(385\) | 2.90983 | − | 3.42772i | 0.148299 | − | 0.174693i | ||||
\(386\) | −19.2944 | + | 11.1396i | −0.982060 | + | 0.566993i | ||||
\(387\) | −0.600848 | − | 12.1692i | −0.0305428 | − | 0.618596i | ||||
\(388\) | 1.04671 | − | 1.81296i | 0.0531387 | − | 0.0920390i | ||||
\(389\) | − | 26.4952i | − | 1.34336i | −0.740841 | − | 0.671681i | \(-0.765573\pi\) | ||
0.740841 | − | 0.671681i | \(-0.234427\pi\) | |||||||
\(390\) | 5.95812 | − | 2.86674i | 0.301701 | − | 0.145163i | ||||
\(391\) | − | 0.730099i | − | 0.0369227i | ||||||
\(392\) | 7.48978 | − | 12.9727i | 0.378291 | − | 0.655219i | ||||
\(393\) | −21.2196 | + | 12.9593i | −1.07039 | + | 0.653710i | ||||
\(394\) | −1.16152 | − | 2.01181i | −0.0585165 | − | 0.101353i | ||||
\(395\) | −5.20628 | −0.261956 | ||||||||
\(396\) | 2.65863 | + | 6.41905i | 0.133601 | + | 0.322569i | ||||
\(397\) | −6.87478 | − | 11.9075i | −0.345035 | − | 0.597618i | 0.640325 | − | 0.768104i | \(-0.278800\pi\) |
−0.985360 | + | 0.170486i | \(0.945466\pi\) | |||||||
\(398\) | 1.13155 | 0.0567195 | ||||||||
\(399\) | −0.0614972 | − | 2.49257i | −0.00307871 | − | 0.124785i | ||||
\(400\) | 4.37856 | − | 7.58389i | 0.218928 | − | 0.379195i | ||||
\(401\) | 20.7433 | + | 11.9761i | 1.03587 | + | 0.598059i | 0.918660 | − | 0.395048i | \(-0.129272\pi\) |
0.117209 | + | 0.993107i | \(0.462605\pi\) | |||||||
\(402\) | −7.53899 | − | 4.10812i | −0.376011 | − | 0.204894i | ||||
\(403\) | −21.1520 | + | 9.54211i | −1.05366 | + | 0.475326i | ||||
\(404\) | 3.84083 | 0.191088 | ||||||||
\(405\) | −6.78631 | + | 4.86808i | −0.337215 | + | 0.241897i | ||||
\(406\) | 1.63639 | + | 0.944771i | 0.0812127 | + | 0.0468882i | ||||
\(407\) | −25.2903 | − | 4.60896i | −1.25359 | − | 0.228458i | ||||
\(408\) | −10.2282 | − | 5.57349i | −0.506369 | − | 0.275929i | ||||
\(409\) | 17.8360 | − | 10.2976i | 0.881934 | − | 0.509185i | 0.0106384 | − | 0.999943i | \(-0.496614\pi\) |
0.871296 | + | 0.490759i | \(0.163280\pi\) | |||||||
\(410\) | 2.99652 | − | 1.73004i | 0.147987 | − | 0.0854406i | ||||
\(411\) | −5.89245 | + | 10.8135i | −0.290653 | + | 0.533391i | ||||
\(412\) | −0.0597427 | − | 0.103477i | −0.00294331 | − | 0.00509797i | ||||
\(413\) | 0.361878 | − | 0.626791i | 0.0178068 | − | 0.0308424i | ||||
\(414\) | −0.0564137 | − | 1.14257i | −0.00277258 | − | 0.0561542i | ||||
\(415\) | 9.55755i | 0.469162i | ||||||||
\(416\) | −10.9572 | − | 7.87902i | −0.537221 | − | 0.386301i | ||||
\(417\) | −16.7248 | + | 30.6924i | −0.819016 | + | 1.50301i | ||||
\(418\) | −3.51106 | + | 1.25518i | −0.171732 | + | 0.0613929i | ||||
\(419\) | 22.0337 | + | 12.7212i | 1.07642 | + | 0.621469i | 0.929927 | − | 0.367743i | \(-0.119869\pi\) |
0.146489 | + | 0.989212i | \(0.453203\pi\) | |||||||
\(420\) | −0.0404412 | − | 1.63914i | −0.00197333 | − | 0.0799819i | ||||
\(421\) | 16.6923 | 0.813533 | 0.406766 | − | 0.913532i | \(-0.366656\pi\) | ||||
0.406766 | + | 0.913532i | \(0.366656\pi\) | |||||||
\(422\) | −18.9087 | + | 10.9170i | −0.920462 | + | 0.531429i | ||||
\(423\) | 2.35622 | + | 1.20955i | 0.114564 | + | 0.0588103i | ||||
\(424\) | 12.5933i | 0.611585i | ||||||||
\(425\) | 4.52065 | + | 7.82999i | 0.219284 | + | 0.379810i | ||||
\(426\) | −11.7191 | − | 19.1889i | −0.567791 | − | 0.929705i | ||||
\(427\) | −8.72440 | + | 15.1111i | −0.422203 | + | 0.731278i | ||||
\(428\) | 7.10459 | 0.343413 | ||||||||
\(429\) | 20.0404 | + | 5.23281i | 0.967560 | + | 0.252642i | ||||
\(430\) | 4.29996 | 0.207363 | ||||||||
\(431\) | 16.5858 | − | 28.7275i | 0.798911 | − | 1.38375i | −0.121415 | − | 0.992602i | \(-0.538743\pi\) |
0.920326 | − | 0.391153i | \(-0.127924\pi\) | |||||||
\(432\) | −9.90159 | − | 4.77810i | −0.476391 | − | 0.229886i | ||||
\(433\) | −3.58780 | − | 6.21425i | −0.172419 | − | 0.298638i | 0.766846 | − | 0.641831i | \(-0.221825\pi\) |
−0.939265 | + | 0.343193i | \(0.888491\pi\) | |||||||
\(434\) | − | 10.7271i | − | 0.514916i | ||||||
\(435\) | −1.82157 | + | 0.0449420i | −0.0873374 | + | 0.00215481i | ||||
\(436\) | 12.1755 | − | 7.02951i | 0.583100 | − | 0.336653i | ||||
\(437\) | −0.329331 | −0.0157540 | ||||||||
\(438\) | −9.32070 | + | 0.229962i | −0.445360 | + | 0.0109880i | ||||
\(439\) | −28.5542 | − | 16.4858i | −1.36282 | − | 0.786824i | −0.372821 | − | 0.927903i | \(-0.621609\pi\) |
−0.989998 | + | 0.141080i | \(0.954943\pi\) | |||||||
\(440\) | −8.92200 | + | 3.18956i | −0.425340 | + | 0.152056i | ||||
\(441\) | 7.91322 | + | 12.2664i | 0.376820 | + | 0.584113i | ||||
\(442\) | −8.19134 | + | 3.69528i | −0.389622 | + | 0.175766i | ||||
\(443\) | 19.5140i | 0.927138i | 0.886061 | + | 0.463569i | \(0.153431\pi\) | ||||
−0.886061 | + | 0.463569i | \(0.846569\pi\) | |||||||
\(444\) | −8.00043 | + | 4.88604i | −0.379684 | + | 0.231881i | ||||
\(445\) | −5.56536 | + | 9.63948i | −0.263823 | + | 0.456955i | ||||
\(446\) | 4.64830 | + | 8.05110i | 0.220104 | + | 0.381231i | ||||
\(447\) | 15.2110 | + | 8.28871i | 0.719455 | + | 0.392043i | ||||
\(448\) | 10.7568 | − | 6.21044i | 0.508211 | − | 0.293416i | ||||
\(449\) | −17.5197 | + | 10.1150i | −0.826807 | + | 0.477357i | −0.852758 | − | 0.522306i | \(-0.825072\pi\) |
0.0259510 | + | 0.999663i | \(0.491739\pi\) | |||||||
\(450\) | 7.67960 | + | 11.9042i | 0.362020 | + | 0.561172i | ||||
\(451\) | 10.6633 | + | 1.94331i | 0.502117 | + | 0.0915069i | ||||
\(452\) | 10.2456 | + | 5.91530i | 0.481913 | + | 0.278232i | ||||
\(453\) | 9.46830 | + | 15.5035i | 0.444859 | + | 0.728416i | ||||
\(454\) | −29.6301 | −1.39061 | ||||||||
\(455\) | −3.96848 | − | 2.85363i | −0.186045 | − | 0.133780i | ||||
\(456\) | −2.51407 | + | 4.61369i | −0.117732 | + | 0.216056i | ||||
\(457\) | 25.3479 | + | 14.6346i | 1.18573 | + | 0.684579i | 0.957332 | − | 0.288990i | \(-0.0933194\pi\) |
0.228394 | + | 0.973569i | \(0.426653\pi\) | |||||||
\(458\) | −0.398757 | + | 0.690667i | −0.0186327 | + | 0.0322727i | ||||
\(459\) | 9.38369 | − | 6.38672i | 0.437993 | − | 0.298107i | ||||
\(460\) | −0.216571 | −0.0100977 | ||||||||
\(461\) | −4.44578 | − | 7.70032i | −0.207061 | − | 0.358640i | 0.743727 | − | 0.668484i | \(-0.233056\pi\) |
−0.950787 | + | 0.309844i | \(0.899723\pi\) | |||||||
\(462\) | −6.01463 | + | 7.45001i | −0.279826 | + | 0.346606i | ||||
\(463\) | 14.9512 | 0.694841 | 0.347421 | − | 0.937709i | \(-0.387058\pi\) | ||||
0.347421 | + | 0.937709i | \(0.387058\pi\) | |||||||
\(464\) | −1.19931 | − | 2.07726i | −0.0556765 | − | 0.0964344i | ||||
\(465\) | 5.39155 | + | 8.82815i | 0.250027 | + | 0.409396i | ||||
\(466\) | −0.640053 | + | 1.10860i | −0.0296499 | + | 0.0513551i | ||||
\(467\) | 18.2674i | 0.845315i | 0.906289 | + | 0.422658i | \(0.138903\pi\) | ||||
−0.906289 | + | 0.422658i | \(0.861097\pi\) | |||||||
\(468\) | 6.72340 | − | 3.44169i | 0.310789 | − | 0.159092i | ||||
\(469\) | 6.34705i | 0.293079i | ||||||||
\(470\) | −0.467359 | + | 0.809490i | −0.0215577 | + | 0.0373390i | ||||
\(471\) | −31.8325 | + | 19.4408i | −1.46676 | + | 0.895785i | ||||
\(472\) | −1.32084 | + | 0.762587i | −0.0607965 | + | 0.0351009i | ||||
\(473\) | 10.2688 | + | 8.71732i | 0.472160 | + | 0.400823i | ||||
\(474\) | 11.0835 | − | 0.273454i | 0.509082 | − | 0.0125602i | ||||
\(475\) | 3.53193 | − | 2.03916i | 0.162056 | − | 0.0935631i | ||||
\(476\) | 2.22844i | 0.102140i | ||||||||
\(477\) | −10.9175 | − | 5.60443i | −0.499879 | − | 0.256609i | ||||
\(478\) | 11.3557 | − | 19.6686i | 0.519397 | − | 0.899622i | ||||
\(479\) | 0.382625 | − | 0.662726i | 0.0174826 | − | 0.0302807i | −0.857152 | − | 0.515064i | \(-0.827768\pi\) |
0.874634 | + | 0.484783i | \(0.161101\pi\) | |||||||
\(480\) | −2.87871 | + | 5.28285i | −0.131395 | + | 0.241128i | ||||
\(481\) | −2.78479 | + | 27.8072i | −0.126975 | + | 1.26790i | ||||
\(482\) | 13.7182i | 0.624847i | ||||||||
\(483\) | −0.721736 | + | 0.440780i | −0.0328401 | + | 0.0200562i | ||||
\(484\) | −7.18732 | − | 2.70966i | −0.326696 | − | 0.123166i | ||||
\(485\) | −2.40931 | + | 1.39101i | −0.109401 | + | 0.0631627i | ||||
\(486\) | 14.1915 | − | 10.7200i | 0.643740 | − | 0.486268i | ||||
\(487\) | 15.8042 | + | 27.3737i | 0.716157 | + | 1.24042i | 0.962512 | + | 0.271240i | \(0.0874338\pi\) |
−0.246355 | + | 0.969180i | \(0.579233\pi\) | |||||||
\(488\) | 31.8437 | − | 18.3850i | 1.44150 | − | 0.832249i | ||||
\(489\) | 0.341879 | + | 0.186296i | 0.0154603 | + | 0.00842457i | ||||
\(490\) | −4.46148 | + | 2.57583i | −0.201549 | + | 0.116364i | ||||
\(491\) | −18.2734 | + | 31.6505i | −0.824669 | + | 1.42837i | 0.0775032 | + | 0.996992i | \(0.475305\pi\) |
−0.902172 | + | 0.431376i | \(0.858028\pi\) | |||||||
\(492\) | 3.37328 | − | 2.06014i | 0.152079 | − | 0.0928781i | ||||
\(493\) | 2.47645 | 0.111534 | ||||||||
\(494\) | 1.66685 | + | 3.69492i | 0.0749953 | + | 0.166242i | ||||
\(495\) | 1.20545 | − | 9.15421i | 0.0541811 | − | 0.411451i | ||||
\(496\) | −6.80856 | + | 11.7928i | −0.305714 | + | 0.529511i | ||||
\(497\) | −8.31098 | + | 14.3950i | −0.372798 | + | 0.645706i | ||||
\(498\) | −0.502001 | − | 20.3468i | −0.0224952 | − | 0.911763i | ||||
\(499\) | −5.55202 | −0.248542 | −0.124271 | − | 0.992248i | \(-0.539659\pi\) | ||||
−0.124271 | + | 0.992248i | \(0.539659\pi\) | |||||||
\(500\) | 5.12852 | − | 2.96095i | 0.229354 | − | 0.132418i | ||||
\(501\) | −0.0145029 | − | 0.587824i | −0.000647941 | − | 0.0262620i | ||||
\(502\) | − | 11.9077i | − | 0.531468i | ||||||
\(503\) | −18.4675 | − | 31.9866i | −0.823425 | − | 1.42621i | −0.903117 | − | 0.429394i | \(-0.858727\pi\) |
0.0796920 | − | 0.996820i | \(-0.474606\pi\) | |||||||
\(504\) | 0.665363 | + | 13.4759i | 0.0296376 | + | 0.600263i | ||||
\(505\) | −4.42038 | − | 2.55211i | −0.196704 | − | 0.113567i | ||||
\(506\) | 0.964138 | + | 0.818470i | 0.0428612 | + | 0.0363854i | ||||
\(507\) | 3.91945 | − | 22.1729i | 0.174069 | − | 0.984734i | ||||
\(508\) | − | 1.59888i | − | 0.0709386i | ||||||
\(509\) | −14.2923 | − | 8.25165i | −0.633494 | − | 0.365748i | 0.148610 | − | 0.988896i | \(-0.452520\pi\) |
−0.782104 | + | 0.623148i | \(0.785853\pi\) | |||||||
\(510\) | 2.08793 | + | 3.41879i | 0.0924552 | + | 0.151387i | ||||
\(511\) | 3.44628 | + | 5.96913i | 0.152454 | + | 0.264059i | ||||
\(512\) | −20.9471 | −0.925739 | ||||||||
\(513\) | −2.88090 | − | 4.23276i | −0.127195 | − | 0.186881i | ||||
\(514\) | 2.59204 | − | 1.49652i | 0.114330 | − | 0.0660085i | ||||
\(515\) | 0.158789i | 0.00699706i | ||||||||
\(516\) | 4.91056 | − | 0.121154i | 0.216175 | − | 0.00533352i | ||||
\(517\) | −2.75719 | + | 0.985677i | −0.121261 | + | 0.0433500i | ||||
\(518\) | −11.1882 | − | 6.45950i | −0.491581 | − | 0.283814i | ||||
\(519\) | 37.9232 | + | 20.6649i | 1.66464 | + | 0.907090i | ||||
\(520\) | 4.23567 | + | 9.38922i | 0.185746 | + | 0.411744i | ||||
\(521\) | − | 33.1045i | − | 1.45033i | −0.688573 | − | 0.725167i | \(-0.741762\pi\) | ||
0.688573 | − | 0.725167i | \(-0.258238\pi\) | |||||||
\(522\) | 3.87552 | − | 0.191352i | 0.169627 | − | 0.00837524i | ||||
\(523\) | 0.280617 | + | 0.162014i | 0.0122705 | + | 0.00708438i | 0.506123 | − | 0.862461i | \(-0.331078\pi\) |
−0.493852 | + | 0.869546i | \(0.664412\pi\) | |||||||
\(524\) | −5.01201 | − | 8.68106i | −0.218951 | − | 0.379234i | ||||
\(525\) | 5.01107 | − | 9.19605i | 0.218701 | − | 0.401348i | ||||
\(526\) | −11.8557 | − | 20.5347i | −0.516933 | − | 0.895354i | ||||
\(527\) | −7.02951 | − | 12.1755i | −0.306210 | − | 0.530371i | ||||
\(528\) | 11.3407 | − | 4.37261i | 0.493543 | − | 0.190293i | ||||
\(529\) | −11.4441 | − | 19.8218i | −0.497572 | − | 0.861819i | ||||
\(530\) | 2.16550 | − | 3.75076i | 0.0940634 | − | 0.162923i | ||||
\(531\) | −0.0732939 | − | 1.48445i | −0.00318069 | − | 0.0644197i | ||||
\(532\) | 1.00520 | 0.0435808 | ||||||||
\(533\) | 1.17417 | − | 11.7246i | 0.0508590 | − | 0.507847i | ||||
\(534\) | 11.3416 | − | 20.8136i | 0.490801 | − | 0.900690i | ||||
\(535\) | −8.17662 | − | 4.72078i | −0.353506 | − | 0.204097i | ||||
\(536\) | 6.68758 | − | 11.5832i | 0.288859 | − | 0.500319i | ||||
\(537\) | 13.6658 | − | 0.337166i | 0.589725 | − | 0.0145498i | ||||
\(538\) | 13.7393i | 0.592342i | ||||||||
\(539\) | −15.8765 | − | 2.89337i | −0.683850 | − | 0.124626i | ||||
\(540\) | −1.89451 | − | 2.78351i | −0.0815268 | − | 0.119783i | ||||
\(541\) | − | 21.2252i | − | 0.912544i | −0.889840 | − | 0.456272i | \(-0.849184\pi\) | ||
0.889840 | − | 0.456272i | \(-0.150816\pi\) | |||||||
\(542\) | 25.0863 | − | 14.4836i | 1.07755 | − | 0.622122i | ||||
\(543\) | 4.41282 | − | 2.69501i | 0.189372 | − | 0.115654i | ||||
\(544\) | 4.08837 | − | 7.08126i | 0.175287 | − | 0.303606i | ||||
\(545\) | −18.6836 | −0.800315 | ||||||||
\(546\) | 8.59828 | + | 5.86658i | 0.367973 | + | 0.251066i | ||||
\(547\) | 7.35324i | 0.314402i | 0.987567 | + | 0.157201i | \(0.0502470\pi\) | ||||
−0.987567 | + | 0.157201i | \(0.949753\pi\) | |||||||
\(548\) | −4.29960 | − | 2.48237i | −0.183670 | − | 0.106042i | ||||
\(549\) | 1.76702 | + | 35.7882i | 0.0754146 | + | 1.52740i | ||||
\(550\) | −15.4078 | − | 2.80795i | −0.656990 | − | 0.119731i | ||||
\(551\) | − | 1.11707i | − | 0.0475888i | ||||||
\(552\) | 1.78158 | − | 0.0439555i | 0.0758292 | − | 0.00187087i | ||||
\(553\) | −4.09807 | − | 7.09806i | −0.174268 | − | 0.301840i | ||||
\(554\) | 17.6957i | 0.751818i | ||||||||
\(555\) | 12.4542 | − | 0.307274i | 0.528653 | − | 0.0130430i | ||||
\(556\) | −12.2037 | − | 7.04582i | −0.517553 | − | 0.298809i | ||||
\(557\) | 17.0356 | − | 29.5065i | 0.721820 | − | 1.25023i | −0.238450 | − | 0.971155i | \(-0.576639\pi\) |
0.960270 | − | 0.279074i | \(-0.0900274\pi\) | |||||||
\(558\) | −11.9416 | − | 18.5108i | −0.505529 | − | 0.783626i | ||||
\(559\) | 8.54895 | − | 11.8888i | 0.361582 | − | 0.502845i | ||||
\(560\) | −2.86837 | −0.121211 | ||||||||
\(561\) | −1.94470 | + | 12.3973i | −0.0821055 | + | 0.523416i | ||||
\(562\) | −1.55472 | + | 2.69286i | −0.0655821 | + | 0.113592i | ||||
\(563\) | 16.0450 | + | 27.7907i | 0.676215 | + | 1.17124i | 0.976112 | + | 0.217267i | \(0.0697142\pi\) |
−0.299898 | + | 0.953971i | \(0.596953\pi\) | |||||||
\(564\) | −0.510917 | + | 0.937607i | −0.0215135 | + | 0.0394804i | ||||
\(565\) | −7.86106 | − | 13.6157i | −0.330717 | − | 0.572819i | ||||
\(566\) | −12.8277 | + | 7.40607i | −0.539188 | + | 0.311300i | ||||
\(567\) | −11.9788 | − | 5.42037i | −0.503060 | − | 0.227634i | ||||
\(568\) | 30.3347 | − | 17.5138i | 1.27282 | − | 0.734861i | ||||
\(569\) | −15.4440 | + | 26.7497i | −0.647445 | + | 1.12141i | 0.336286 | + | 0.941760i | \(0.390829\pi\) |
−0.983731 | + | 0.179647i | \(0.942504\pi\) | |||||||
\(570\) | 1.54214 | − | 0.941818i | 0.0645931 | − | 0.0394484i | ||||
\(571\) | − | 33.7922i | − | 1.41416i | −0.707134 | − | 0.707079i | \(-0.750012\pi\) | ||
0.707134 | − | 0.707079i | \(-0.249988\pi\) | |||||||
\(572\) | −2.30827 | + | 8.02489i | −0.0965135 | + | 0.335538i | ||||
\(573\) | 17.6782 | − | 32.4420i | 0.738516 | − | 1.35528i | ||||
\(574\) | 4.71736 | + | 2.72357i | 0.196899 | + | 0.113680i | ||||
\(575\) | −1.19796 | − | 0.691644i | −0.0499585 | − | 0.0288435i | ||||
\(576\) | 11.6485 | − | 22.6915i | 0.485355 | − | 0.945481i | ||||
\(577\) | 32.5975 | 1.35705 | 0.678526 | − | 0.734576i | \(-0.262619\pi\) | ||||
0.678526 | + | 0.734576i | \(0.262619\pi\) | |||||||
\(578\) | 6.97563 | + | 12.0822i | 0.290148 | + | 0.502551i | ||||
\(579\) | 33.8120 | − | 0.834217i | 1.40518 | − | 0.0346689i | ||||
\(580\) | − | 0.734597i | − | 0.0305025i | ||||||
\(581\) | −13.0304 | + | 7.52313i | −0.540594 | + | 0.312112i | ||||
\(582\) | 5.05605 | − | 3.08784i | 0.209580 | − | 0.127995i | ||||
\(583\) | 12.7754 | − | 4.56712i | 0.529102 | − | 0.189151i | ||||
\(584\) | − | 14.5247i | − | 0.601037i | ||||||
\(585\) | −10.0248 | − | 0.506475i | −0.414475 | − | 0.0209401i | ||||
\(586\) | −34.5569 | −1.42753 | ||||||||
\(587\) | 17.4298 | + | 10.0631i | 0.719406 | + | 0.415349i | 0.814534 | − | 0.580116i | \(-0.196993\pi\) |
−0.0951283 | + | 0.995465i | \(0.530326\pi\) | |||||||
\(588\) | −5.02243 | + | 3.06731i | −0.207122 | + | 0.126494i | ||||
\(589\) | −5.49207 | + | 3.17085i | −0.226297 | + | 0.130653i | ||||
\(590\) | 0.524527 | 0.0215944 | ||||||||
\(591\) | 0.0869830 | + | 3.52555i | 0.00357800 | + | 0.145022i | ||||
\(592\) | 8.19980 | + | 14.2025i | 0.337010 | + | 0.583718i | ||||
\(593\) | 16.8279 | 0.691038 | 0.345519 | − | 0.938412i | \(-0.387703\pi\) | ||||
0.345519 | + | 0.938412i | \(0.387703\pi\) | |||||||
\(594\) | −2.08544 | + | 19.5515i | −0.0855668 | + | 0.802207i | ||||
\(595\) | 1.48073 | − | 2.56469i | 0.0607039 | − | 0.105142i | ||||
\(596\) | −3.49187 | + | 6.04810i | −0.143033 | + | 0.247740i | ||||
\(597\) | −1.50840 | − | 0.821954i | −0.0617349 | − | 0.0336403i | ||||
\(598\) | 0.802661 | − | 1.11624i | 0.0328233 | − | 0.0456466i | ||||
\(599\) | 28.3471i | 1.15823i | 0.815245 | + | 0.579116i | \(0.196602\pi\) | ||||
−0.815245 | + | 0.579116i | \(0.803398\pi\) | |||||||
\(600\) | −18.8345 | + | 11.5027i | −0.768917 | + | 0.469594i | ||||
\(601\) | −31.4831 | − | 18.1768i | −1.28422 | − | 0.741447i | −0.306607 | − | 0.951836i | \(-0.599194\pi\) |
−0.977618 | + | 0.210389i | \(0.932527\pi\) | |||||||
\(602\) | 3.38467 | + | 5.86243i | 0.137949 | + | 0.238935i | ||||
\(603\) | 7.06567 | + | 10.9526i | 0.287736 | + | 0.446024i | ||||
\(604\) | −6.34254 | + | 3.66187i | −0.258074 | + | 0.148999i | ||||
\(605\) | 6.47135 | + | 7.89427i | 0.263098 | + | 0.320948i | ||||
\(606\) | 9.54447 | + | 5.20093i | 0.387718 | + | 0.211274i | ||||
\(607\) | −26.8179 | + | 15.4833i | −1.08851 | + | 0.628449i | −0.933178 | − | 0.359414i | \(-0.882976\pi\) |
−0.155327 | + | 0.987863i | \(0.549643\pi\) | |||||||
\(608\) | −3.19419 | − | 1.84417i | −0.129542 | − | 0.0747909i | ||||
\(609\) | −1.49510 | − | 2.44809i | −0.0605845 | − | 0.0992015i | ||||
\(610\) | −12.6457 | −0.512008 | ||||||||
\(611\) | 1.30896 | + | 2.90157i | 0.0529548 | + | 0.117385i | ||||
\(612\) | 2.48075 | + | 3.84544i | 0.100278 | + | 0.155443i | ||||
\(613\) | 0.00609717 | + | 0.00352020i | 0.000246262 | + | 0.000142180i | 0.500123 | − | 0.865954i | \(-0.333288\pi\) |
−0.499877 | + | 0.866096i | \(0.666621\pi\) | |||||||
\(614\) | 26.5208 | + | 15.3118i | 1.07029 | + | 0.617933i | ||||
\(615\) | −5.25118 | + | 0.129558i | −0.211748 | + | 0.00522428i | ||||
\(616\) | −11.3714 | − | 9.65333i | −0.458167 | − | 0.388944i | ||||
\(617\) | 11.1686 | − | 6.44820i | 0.449632 | − | 0.259595i | −0.258043 | − | 0.966133i | \(-0.583078\pi\) |
0.707675 | + | 0.706539i | \(0.249744\pi\) | |||||||
\(618\) | −0.00834020 | − | 0.338041i | −0.000335492 | − | 0.0135980i | ||||
\(619\) | −1.88578 | −0.0757958 | −0.0378979 | − | 0.999282i | \(-0.512066\pi\) | ||||
−0.0378979 | + | 0.999282i | \(0.512066\pi\) | |||||||
\(620\) | −3.61164 | + | 2.08518i | −0.145047 | + | 0.0837429i | ||||
\(621\) | −0.754755 | + | 1.56407i | −0.0302873 | + | 0.0627640i | ||||
\(622\) | −0.0881292 | − | 0.0508814i | −0.00353366 | − | 0.00204016i | ||||
\(623\) | −17.5229 | −0.702039 | ||||||||
\(624\) | −5.72893 | − | 11.9068i | −0.229341 | − | 0.476654i | ||||
\(625\) | 12.8245 | 0.512979 | ||||||||
\(626\) | 2.54808 | − | 4.41340i | 0.101842 | − | 0.176395i | ||||
\(627\) | 5.59215 | + | 0.877211i | 0.223329 | + | 0.0350324i | ||||
\(628\) | −7.51874 | − | 13.0228i | −0.300030 | − | 0.519668i | ||||
\(629\) | −16.9318 | −0.675114 | ||||||||
\(630\) | 2.11909 | − | 4.12803i | 0.0844268 | − | 0.164465i | ||||
\(631\) | 2.37182 | + | 4.10811i | 0.0944205 | + | 0.163541i | 0.909367 | − | 0.415996i | \(-0.136567\pi\) |
−0.814946 | + | 0.579537i | \(0.803234\pi\) | |||||||
\(632\) | 17.2717i | 0.687033i | ||||||||
\(633\) | 33.1362 | − | 0.817541i | 1.31704 | − | 0.0324943i | ||||
\(634\) | 31.4404 | + | 18.1521i | 1.24866 | + | 0.720914i | ||||
\(635\) | −1.06240 | + | 1.84013i | −0.0421601 | + | 0.0730235i | ||||
\(636\) | 2.36732 | − | 4.34438i | 0.0938705 | − | 0.172266i | ||||
\(637\) | −1.74821 | + | 17.4565i | −0.0692666 | + | 0.691653i | ||||
\(638\) | −2.77620 | + | 3.27030i | −0.109911 | + | 0.129472i | ||||
\(639\) | 1.68329 | + | 34.0923i | 0.0665898 | + | 1.34867i | ||||
\(640\) | 1.77950 | + | 1.02740i | 0.0703410 | + | 0.0406114i | ||||
\(641\) | −17.9765 | + | 10.3787i | −0.710030 | + | 0.409936i | −0.811072 | − | 0.584946i | \(-0.801116\pi\) |
0.101042 | + | 0.994882i | \(0.467782\pi\) | |||||||
\(642\) | 17.6550 | + | 9.62047i | 0.696785 | + | 0.379689i | ||||
\(643\) | −5.73014 | − | 9.92489i | −0.225975 | − | 0.391400i | 0.730637 | − | 0.682766i | \(-0.239223\pi\) |
−0.956611 | + | 0.291367i | \(0.905890\pi\) | |||||||
\(644\) | −0.170472 | − | 0.295266i | −0.00671753 | − | 0.0116351i | ||||
\(645\) | −5.73203 | − | 3.12348i | −0.225699 | − | 0.122987i | ||||
\(646\) | −2.12686 | + | 1.22794i | −0.0836802 | + | 0.0483128i | ||||
\(647\) | −19.5067 | − | 11.2622i | −0.766889 | − | 0.442763i | 0.0648750 | − | 0.997893i | \(-0.479335\pi\) |
−0.831764 | + | 0.555130i | \(0.812668\pi\) | |||||||
\(648\) | 16.1498 | + | 22.5135i | 0.634424 | + | 0.884414i | ||||
\(649\) | 1.25263 | + | 1.06337i | 0.0491701 | + | 0.0417411i | ||||
\(650\) | −1.69660 | + | 16.9412i | −0.0665460 | + | 0.664488i | ||||
\(651\) | −7.79211 | + | 14.2996i | −0.305397 | + | 0.560447i | ||||
\(652\) | −0.0784826 | + | 0.135936i | −0.00307362 | + | 0.00532366i | ||||
\(653\) | 31.2376 | + | 18.0350i | 1.22242 | + | 0.705766i | 0.965434 | − | 0.260648i | \(-0.0839364\pi\) |
0.256989 | + | 0.966414i | \(0.417270\pi\) | |||||||
\(654\) | 39.7749 | − | 0.981334i | 1.55532 | − | 0.0383732i | ||||
\(655\) | 13.3213i | 0.520506i | ||||||||
\(656\) | −3.45734 | − | 5.98829i | −0.134987 | − | 0.233803i | ||||
\(657\) | 12.5919 | + | 6.46397i | 0.491258 | + | 0.252183i | ||||
\(658\) | −1.47151 | −0.0573654 | ||||||||
\(659\) | 0.111070 | + | 0.192378i | 0.00432666 | + | 0.00749400i | 0.868181 | − | 0.496248i | \(-0.165289\pi\) |
−0.863854 | + | 0.503742i | \(0.831956\pi\) | |||||||
\(660\) | 3.67746 | + | 0.576863i | 0.143145 | + | 0.0224544i | ||||
\(661\) | 19.1900 | − | 33.2380i | 0.746403 | − | 1.29281i | −0.203133 | − | 0.979151i | \(-0.565112\pi\) |
0.949536 | − | 0.313657i | \(-0.101554\pi\) | |||||||
\(662\) | −29.0771 | −1.13011 | ||||||||
\(663\) | 13.6036 | + | 1.02419i | 0.528321 | + | 0.0397763i | ||||
\(664\) | 31.7071 | 1.23047 | ||||||||
\(665\) | −1.15687 | − | 0.667922i | −0.0448617 | − | 0.0259009i | ||||
\(666\) | −26.4974 | + | 1.30829i | −1.02675 | + | 0.0506953i | ||||
\(667\) | −0.328127 | + | 0.189444i | −0.0127051 | + | 0.00733532i | ||||
\(668\) | 0.237056 | 0.00917198 | ||||||||
\(669\) | −0.348099 | − | 14.1090i | −0.0134583 | − | 0.545484i | ||||
\(670\) | −3.98363 | + | 2.29995i | −0.153901 | + | 0.0888547i | ||||
\(671\) | −30.1993 | − | 25.6366i | −1.16583 | − | 0.989689i | ||||
\(672\) | −9.46841 | + | 0.233606i | −0.365252 | + | 0.00901156i | ||||
\(673\) | −10.1639 | − | 5.86813i | −0.391789 | − | 0.226200i | 0.291146 | − | 0.956679i | \(-0.405964\pi\) |
−0.682935 | + | 0.730479i | \(0.739297\pi\) | |||||||
\(674\) | −4.42365 | − | 2.55400i | −0.170393 | − | 0.0983763i | ||||
\(675\) | −1.59004 | − | 21.4473i | −0.0612005 | − | 0.825507i | ||||
\(676\) | 8.89742 | + | 1.80014i | 0.342209 | + | 0.0692363i | ||||
\(677\) | 14.4852 | 0.556713 | 0.278356 | − | 0.960478i | \(-0.410210\pi\) | ||||
0.278356 | + | 0.960478i | \(0.410210\pi\) | |||||||
\(678\) | 17.4503 | + | 28.5733i | 0.670177 | + | 1.09735i | ||||
\(679\) | −3.79292 | − | 2.18984i | −0.145559 | − | 0.0840385i | ||||
\(680\) | −5.40459 | + | 3.12034i | −0.207257 | + | 0.119660i | ||||
\(681\) | 39.4981 | + | 21.5232i | 1.51357 | + | 0.824770i | ||||
\(682\) | 23.9588 | + | 4.36630i | 0.917429 | + | 0.167194i | ||||
\(683\) | 10.7004 | − | 6.17790i | 0.409441 | − | 0.236391i | −0.281109 | − | 0.959676i | \(-0.590702\pi\) |
0.690550 | + | 0.723285i | \(0.257369\pi\) | |||||||
\(684\) | 1.73459 | − | 1.11901i | 0.0663236 | − | 0.0427863i | ||||
\(685\) | 3.29892 | + | 5.71389i | 0.126045 | + | 0.218317i | ||||
\(686\) | −17.1279 | − | 9.88879i | −0.653946 | − | 0.377556i | ||||
\(687\) | 1.03326 | − | 0.631033i | 0.0394212 | − | 0.0240754i | ||||
\(688\) | − | 8.59312i | − | 0.327610i | ||||||
\(689\) | −6.06503 | − | 13.4444i | −0.231059 | − | 0.512190i | ||||
\(690\) | −0.538181 | − | 0.293263i | −0.0204882 | − | 0.0111643i | ||||
\(691\) | 10.4899 | − | 18.1691i | 0.399055 | − | 0.691183i | −0.594555 | − | 0.804055i | \(-0.702672\pi\) |
0.993610 | + | 0.112872i | \(0.0360049\pi\) | |||||||
\(692\) | −8.70573 | + | 15.0788i | −0.330942 | + | 0.573209i | ||||
\(693\) | 13.4294 | − | 5.56217i | 0.510141 | − | 0.211289i | ||||
\(694\) | 16.9311 | 0.642694 | ||||||||
\(695\) | 9.36344 | + | 16.2180i | 0.355176 | + | 0.615182i | ||||
\(696\) | 0.149095 | + | 6.04302i | 0.00565141 | + | 0.229060i | ||||
\(697\) | 7.13907 | 0.270412 | ||||||||
\(698\) | 10.8390 | − | 6.25788i | 0.410261 | − | 0.236864i | ||||
\(699\) | 1.65850 | − | 1.01288i | 0.0627303 | − | 0.0383108i | ||||
\(700\) | 3.65647 | + | 2.11107i | 0.138202 | + | 0.0797908i | ||||
\(701\) | 13.5912 | 0.513331 | 0.256666 | − | 0.966500i | \(-0.417376\pi\) | ||||
0.256666 | + | 0.966500i | \(0.417376\pi\) | |||||||
\(702\) | 21.3681 | + | 0.551678i | 0.806489 | + | 0.0208217i | ||||
\(703\) | 7.63753i | 0.288055i | ||||||||
\(704\) | 9.49253 | + | 26.5530i | 0.357763 | + | 1.00075i | ||||
\(705\) | 1.21102 | − | 0.739597i | 0.0456097 | − | 0.0278548i | ||||
\(706\) | −34.0615 | + | 19.6654i | −1.28192 | + | 0.740119i | ||||
\(707\) | − | 8.03546i | − | 0.302204i | ||||||
\(708\) | 0.599010 | − | 0.0147789i | 0.0225122 | − | 0.000555425i | ||||
\(709\) | −18.3661 | − | 31.8110i | −0.689753 | − | 1.19469i | −0.971918 | − | 0.235321i | \(-0.924386\pi\) |
0.282164 | − | 0.959366i | \(-0.408948\pi\) | |||||||
\(710\) | −12.0464 | −0.452094 | ||||||||
\(711\) | −14.9734 | − | 7.68648i | −0.561547 | − | 0.288266i | ||||
\(712\) | 31.9788 | + | 18.4630i | 1.19846 | + | 0.691930i | ||||
\(713\) | 1.86280 | + | 1.07549i | 0.0697626 | + | 0.0402774i | ||||
\(714\) | −3.01757 | + | 5.53768i | −0.112930 | + | 0.207243i | ||||
\(715\) | 7.98885 | − | 7.70202i | 0.298766 | − | 0.288039i | ||||
\(716\) | 5.51113i | 0.205960i | ||||||||
\(717\) | −29.4248 | + | 17.9704i | −1.09889 | + | 0.671116i | ||||
\(718\) | 10.6489 | − | 18.4444i | 0.397413 | − | 0.688339i | ||||
\(719\) | −33.0241 | + | 19.0665i | −1.23159 | + | 0.711059i | −0.967361 | − | 0.253401i | \(-0.918451\pi\) |
−0.264229 | + | 0.964460i | \(0.585118\pi\) | |||||||
\(720\) | −4.94972 | + | 3.19313i | −0.184465 | + | 0.119001i | ||||
\(721\) | −0.216487 | + | 0.124989i | −0.00806240 | + | 0.00465483i | ||||
\(722\) | −10.2849 | − | 17.8140i | −0.382765 | − | 0.662968i | ||||
\(723\) | 9.96484 | − | 18.2869i | 0.370596 | − | 0.680098i | ||||
\(724\) | 1.04229 | + | 1.80531i | 0.0387366 | + | 0.0670937i | ||||
\(725\) | 2.34602 | − | 4.06342i | 0.0871288 | − | 0.150912i | ||||
\(726\) | −14.1913 | − | 16.4660i | −0.526689 | − | 0.611111i | ||||
\(727\) | −1.65635 | −0.0614305 | −0.0307153 | − | 0.999528i | \(-0.509779\pi\) | ||||
−0.0307153 | + | 0.999528i | \(0.509779\pi\) | |||||||
\(728\) | −9.46688 | + | 13.1654i | −0.350866 | + | 0.487942i | ||||
\(729\) | −26.7048 | + | 3.98151i | −0.989068 | + | 0.147463i | ||||
\(730\) | −2.49762 | + | 4.32601i | −0.0924411 | + | 0.160113i | ||||
\(731\) | 7.68335 | + | 4.43599i | 0.284179 | + | 0.164071i | ||||
\(732\) | −14.4414 | + | 0.356300i | −0.533768 | + | 0.0131692i | ||||
\(733\) | − | 30.4682i | − | 1.12537i | −0.826672 | − | 0.562684i | \(-0.809769\pi\) | ||
0.826672 | − | 0.562684i | \(-0.190231\pi\) | |||||||
\(734\) | −13.6510 | − | 23.6442i | −0.503867 | − | 0.872724i | ||||
\(735\) | 7.81841 | − | 0.192897i | 0.288386 | − | 0.00711512i | ||||
\(736\) | 1.25101i | 0.0461129i | ||||||||
\(737\) | −14.1760 | − | 2.58347i | −0.522181 | − | 0.0951634i | ||||
\(738\) | 11.1723 | − | 0.551625i | 0.411258 | − | 0.0203056i | ||||
\(739\) | 22.7806 | + | 13.1524i | 0.837997 | + | 0.483818i | 0.856583 | − | 0.516010i | \(-0.172583\pi\) |
−0.0185860 | + | 0.999827i | \(0.505916\pi\) | |||||||
\(740\) | 5.02252i | 0.184631i | ||||||||
\(741\) | 0.461989 | − | 6.13628i | 0.0169716 | − | 0.225422i | ||||
\(742\) | 6.81821 | 0.250304 | ||||||||
\(743\) | −5.15860 | + | 8.93496i | −0.189251 | + | 0.327792i | −0.945001 | − | 0.327069i | \(-0.893939\pi\) |
0.755750 | + | 0.654860i | \(0.227273\pi\) | |||||||
\(744\) | 29.2873 | − | 17.8864i | 1.07372 | − | 0.655747i | ||||
\(745\) | 8.03753 | − | 4.64047i | 0.294472 | − | 0.170014i | ||||
\(746\) | 4.96231i | 0.181683i | ||||||||
\(747\) | −14.1107 | + | 27.4878i | −0.516282 | + | 1.00573i | ||||
\(748\) | −4.97719 | − | 0.907054i | −0.181984 | − | 0.0331652i | ||||
\(749\) | − | 14.8636i | − | 0.543106i | ||||||
\(750\) | 16.7539 | − | 0.413355i | 0.611765 | − | 0.0150936i | ||||
\(751\) | −1.29775 | + | 2.24777i | −0.0473557 | + | 0.0820224i | −0.888732 | − | 0.458428i | \(-0.848413\pi\) |
0.841376 | + | 0.540450i | \(0.181746\pi\) | |||||||
\(752\) | 1.61770 | + | 0.933979i | 0.0589914 | + | 0.0340587i | ||||
\(753\) | −8.64973 | + | 15.8735i | −0.315214 | + | 0.578463i | ||||
\(754\) | 3.78623 | + | 2.72258i | 0.137886 | + | 0.0991505i | ||||
\(755\) | 9.73277 | 0.354212 | ||||||||
\(756\) | 2.30370 | − | 4.77393i | 0.0837847 | − | 0.173626i | ||||
\(757\) | −0.596083 | + | 1.03245i | −0.0216650 | + | 0.0375249i | −0.876655 | − | 0.481120i | \(-0.840230\pi\) |
0.854990 | + | 0.518645i | \(0.173563\pi\) | |||||||
\(758\) | 17.1147 | + | 29.6436i | 0.621635 | + | 1.07670i | ||||
\(759\) | −0.690704 | − | 1.79140i | −0.0250710 | − | 0.0650237i | ||||
\(760\) | 1.40751 | + | 2.43789i | 0.0510559 | + | 0.0884314i | ||||
\(761\) | −16.4748 | − | 28.5353i | −0.597213 | − | 1.03440i | −0.993231 | − | 0.116160i | \(-0.962941\pi\) |
0.396018 | − | 0.918243i | \(-0.370392\pi\) | |||||||
\(762\) | 2.16507 | − | 3.97321i | 0.0784321 | − | 0.143934i | ||||
\(763\) | −14.7066 | − | 25.4725i | −0.532414 | − | 0.922167i | ||||
\(764\) | 12.8994 | + | 7.44746i | 0.466683 | + | 0.269440i | ||||
\(765\) | −0.299903 | − | 6.07406i | −0.0108430 | − | 0.219608i | ||||
\(766\) | − | 23.8715i | − | 0.862513i | ||||||
\(767\) | 1.04284 | − | 1.45025i | 0.0376546 | − | 0.0523655i | ||||
\(768\) | 22.0199 | + | 11.9990i | 0.794575 | + | 0.432977i | ||||
\(769\) | −0.297604 | − | 0.171822i | −0.0107319 | − | 0.00619605i | 0.494624 | − | 0.869107i | \(-0.335306\pi\) |
−0.505356 | + | 0.862911i | \(0.668639\pi\) | |||||||
\(770\) | 1.72688 | + | 4.83051i | 0.0622323 | + | 0.174080i | ||||
\(771\) | −4.54237 | + | 0.112070i | −0.163589 | + | 0.00403611i | ||||
\(772\) | 13.6356i | 0.490757i | ||||||||
\(773\) | 23.1464 | − | 13.3636i | 0.832518 | − | 0.480655i | −0.0221959 | − | 0.999754i | \(-0.507066\pi\) |
0.854714 | + | 0.519099i | \(0.173732\pi\) | |||||||
\(774\) | 12.3668 | + | 6.34842i | 0.444517 | + | 0.228189i | ||||
\(775\) | −26.6370 | −0.956830 | ||||||||
\(776\) | 4.61467 | + | 7.99284i | 0.165657 | + | 0.286926i | ||||
\(777\) | 10.2222 | + | 16.7378i | 0.366718 | + | 0.600467i | ||||
\(778\) | 26.1792 | + | 15.1146i | 0.938570 | + | 0.541884i | ||||
\(779\) | − | 3.22027i | − | 0.115378i | ||||||
\(780\) | 0.303809 | − | 4.03528i | 0.0108781 | − | 0.144486i | ||||
\(781\) | −28.7682 | − | 24.4217i | −1.02941 | − | 0.873878i | ||||
\(782\) | 0.721390 | + | 0.416495i | 0.0257969 | + | 0.0148938i | ||||
\(783\) | −5.30523 | − | 2.56009i | −0.189594 | − | 0.0914900i | ||||
\(784\) | 5.14759 | + | 8.91589i | 0.183843 | + | 0.318425i | ||||
\(785\) | 19.9838i | 0.713254i | ||||||||
\(786\) | −0.699687 | − | 28.3594i | −0.0249570 | − | 1.01154i | ||||
\(787\) | 23.0465 | − | 13.3059i | 0.821519 | − | 0.474304i | −0.0294211 | − | 0.999567i | \(-0.509366\pi\) |
0.850940 | + | 0.525263i | \(0.176033\pi\) | |||||||
\(788\) | −1.42177 | −0.0506486 | ||||||||
\(789\) | 0.887841 | + | 35.9855i | 0.0316080 | + | 1.28112i | ||||
\(790\) | 2.96999 | − | 5.14418i | 0.105668 | − | 0.183022i | ||||
\(791\) | 12.3755 | − | 21.4350i | 0.440022 | − | 0.762141i | ||||
\(792\) | −30.3690 | − | 3.99908i | −1.07911 | − | 0.142101i | ||||
\(793\) | −25.1414 | + | 34.9636i | −0.892798 | + | 1.24160i | ||||
\(794\) | 15.6872 | 0.556719 | ||||||||
\(795\) | −5.61124 | + | 3.42691i | −0.199010 | + | 0.121540i | ||||
\(796\) | 0.346273 | − | 0.599762i | 0.0122733 | − | 0.0212580i | ||||
\(797\) | −6.87213 | + | 3.96762i | −0.243423 | + | 0.140540i | −0.616749 | − | 0.787160i | \(-0.711551\pi\) |
0.373326 | + | 0.927700i | \(0.378217\pi\) | |||||||
\(798\) | 2.49792 | + | 1.36116i | 0.0884255 | + | 0.0481845i | ||||
\(799\) | −1.67019 | + | 0.964287i | −0.0590872 | + | 0.0341140i | ||||
\(800\) | −7.74606 | − | 13.4166i | −0.273864 | − | 0.474347i | ||||
\(801\) | −30.2378 | + | 19.5068i | −1.06840 | + | 0.689239i | ||||
\(802\) | −23.6666 | + | 13.6639i | −0.835695 | + | 0.482489i | ||||
\(803\) | −14.7347 | + | 5.26757i | −0.519977 | + | 0.185888i | ||||
\(804\) | −4.48450 | + | 2.73878i | −0.158156 | + | 0.0965894i | ||||
\(805\) | 0.453093i | 0.0159694i | ||||||||
\(806\) | 2.63817 | − | 26.3431i | 0.0929256 | − | 0.927898i | ||||
\(807\) | 9.98014 | − | 18.3150i | 0.351318 | − | 0.644719i | ||||
\(808\) | −8.46658 | + | 14.6645i | −0.297853 | + | 0.515897i | ||||
\(809\) | 21.1995 | − | 36.7186i | 0.745335 | − | 1.29096i | −0.204702 | − | 0.978824i | \(-0.565623\pi\) |
0.950038 | − | 0.312135i | \(-0.101044\pi\) | |||||||
\(810\) | −0.938667 | − | 9.48243i | −0.0329814 | − | 0.333179i | ||||
\(811\) | 2.68971i | 0.0944484i | 0.998884 | + | 0.0472242i | \(0.0150375\pi\) | ||||
−0.998884 | + | 0.0472242i | \(0.984962\pi\) | |||||||
\(812\) | 1.00152 | − | 0.578231i | 0.0351466 | − | 0.0202919i | ||||
\(813\) | −43.9618 | + | 1.08463i | −1.54181 | + | 0.0380398i | ||||
\(814\) | 18.9812 | − | 22.3594i | 0.665290 | − | 0.783696i | ||||
\(815\) | 0.180650 | − | 0.104298i | 0.00632790 | − | 0.00365341i | ||||
\(816\) | 6.83217 | − | 4.17256i | 0.239174 | − | 0.146069i | ||||
\(817\) | 2.00097 | − | 3.46578i | 0.0700051 | − | 0.121252i | ||||
\(818\) | 23.4977i | 0.821577i | ||||||||
\(819\) | −7.20041 | − | 14.0661i | −0.251603 | − | 0.491511i | ||||
\(820\) | − | 2.11768i | − | 0.0739527i | ||||||
\(821\) | 8.84254 | − | 15.3157i | 0.308607 | − | 0.534523i | −0.669451 | − | 0.742856i | \(-0.733471\pi\) |
0.978058 | + | 0.208333i | \(0.0668039\pi\) | |||||||
\(822\) | −7.32309 | − | 11.9909i | −0.255422 | − | 0.418230i | ||||
\(823\) | 2.04737 | + | 3.54615i | 0.0713669 | + | 0.123611i | 0.899501 | − | 0.436920i | \(-0.143931\pi\) |
−0.828134 | + | 0.560531i | \(0.810597\pi\) | |||||||
\(824\) | 0.526779 | 0.0183512 | ||||||||
\(825\) | 18.4995 | + | 14.9353i | 0.644072 | + | 0.519979i | ||||
\(826\) | 0.412876 | + | 0.715123i | 0.0143658 | + | 0.0248823i | ||||
\(827\) | 18.0329 | 0.627066 | 0.313533 | − | 0.949577i | \(-0.398487\pi\) | ||||
0.313533 | + | 0.949577i | \(0.398487\pi\) | |||||||
\(828\) | −0.622866 | − | 0.319743i | −0.0216461 | − | 0.0111118i | ||||
\(829\) | −19.6934 | + | 34.1099i | −0.683979 | + | 1.18469i | 0.289778 | + | 0.957094i | \(0.406419\pi\) |
−0.973757 | + | 0.227592i | \(0.926915\pi\) | |||||||
\(830\) | −9.44355 | − | 5.45224i | −0.327790 | − | 0.189250i | ||||
\(831\) | 12.8541 | − | 23.5891i | 0.445903 | − | 0.818297i | ||||
\(832\) | 27.9435 | − | 12.6059i | 0.968766 | − | 0.437030i | ||||
\(833\) | −10.6293 | −0.368282 | ||||||||
\(834\) | −20.7854 | − | 34.0342i | −0.719740 | − | 1.17851i | ||||
\(835\) | −0.272826 | − | 0.157516i | −0.00944153 | − | 0.00545107i | ||||
\(836\) | −0.409151 | + | 2.24509i | −0.0141508 | + | 0.0776482i | ||||
\(837\) | 2.47247 | + | 33.3501i | 0.0854611 | + | 1.15275i | ||||
\(838\) | −25.1388 | + | 14.5139i | −0.868407 | + | 0.501375i | ||||
\(839\) | −47.9875 | + | 27.7056i | −1.65671 | + | 0.956504i | −0.682497 | + | 0.730888i | \(0.739106\pi\) |
−0.974216 | + | 0.225616i | \(0.927561\pi\) | |||||||
\(840\) | 6.34750 | + | 3.45885i | 0.219010 | + | 0.119342i | ||||
\(841\) | 13.8574 | + | 24.0017i | 0.477842 | + | 0.827646i | ||||
\(842\) | −9.52235 | + | 16.4932i | −0.328162 | + | 0.568393i | ||||
\(843\) | 4.02860 | − | 2.46035i | 0.138752 | − | 0.0847390i | ||||
\(844\) | 13.3631i | 0.459976i | ||||||||
\(845\) | −9.04384 | − | 7.98382i | −0.311118 | − | 0.274652i | ||||
\(846\) | −2.53926 | + | 1.63812i | −0.0873016 | + | 0.0563196i | ||||
\(847\) | −5.66893 | + | 15.0367i | −0.194787 | + | 0.516667i | ||||
\(848\) | −7.49558 | − | 4.32757i | −0.257399 | − | 0.148610i | ||||
\(849\) | 22.4796 | − | 0.554620i | 0.771497 | − | 0.0190345i | ||||
\(850\) | −10.3155 | −0.353817 | ||||||||
\(851\) | 2.24344 | − | 1.29525i | 0.0769042 | − | 0.0444007i | ||||
\(852\) | −13.7570 | + | 0.339416i | −0.471308 | + | 0.0116282i | ||||
\(853\) | 25.7157i | 0.880488i | 0.897878 | + | 0.440244i | \(0.145108\pi\) | ||||
−0.897878 | + | 0.440244i | \(0.854892\pi\) | |||||||
\(854\) | −9.95391 | − | 17.2407i | −0.340616 | − | 0.589964i | ||||
\(855\) | −2.73987 | + | 0.135279i | −0.0937015 | + | 0.00462646i | ||||
\(856\) | −15.6611 | + | 27.1258i | −0.535286 | + | 0.927142i | ||||
\(857\) | 53.1020 | 1.81393 | 0.906966 | − | 0.421205i | \(-0.138393\pi\) | ||||
0.906966 | + | 0.421205i | \(0.138393\pi\) | |||||||
\(858\) | −16.6027 | + | 16.8162i | −0.566807 | + | 0.574097i | ||||
\(859\) | −22.3863 | −0.763812 | −0.381906 | − | 0.924201i | \(-0.624732\pi\) | ||||
−0.381906 | + | 0.924201i | \(0.624732\pi\) | |||||||
\(860\) | 1.31586 | − | 2.27913i | 0.0448704 | − | 0.0777179i | ||||
\(861\) | −4.31005 | − | 7.05730i | −0.146886 | − | 0.240512i | ||||
\(862\) | 18.9232 | + | 32.7760i | 0.644528 | + | 1.11635i | ||||
\(863\) | − | 35.1190i | − | 1.19547i | −0.801695 | − | 0.597733i | \(-0.796068\pi\) | ||
0.801695 | − | 0.597733i | \(-0.203932\pi\) | |||||||
\(864\) | −16.0788 | + | 10.9435i | −0.547012 | + | 0.372307i | ||||
\(865\) | 20.0387 | − | 11.5694i | 0.681337 | − | 0.393370i | ||||
\(866\) | 8.18683 | 0.278200 | ||||||||
\(867\) | −0.522386 | − | 21.1731i | −0.0177412 | − | 0.719076i | ||||
\(868\) | −5.68574 | − | 3.28266i | −0.192986 | − | 0.111421i | ||||
\(869\) | 17.5215 | − | 6.26381i | 0.594375 | − | 0.212485i | ||||
\(870\) | 0.994732 | − | 1.82548i | 0.0337246 | − | 0.0618895i | ||||
\(871\) | −1.56097 | + | 15.5868i | −0.0528913 | + | 0.528140i | ||||
\(872\) | 61.9824i | 2.09899i | ||||||||
\(873\) | −8.98291 | + | 0.443526i | −0.304026 | + | 0.0150111i | ||||
\(874\) | 0.187871 | − | 0.325402i | 0.00635484 | − | 0.0110069i | ||||
\(875\) | −6.19466 | − | 10.7295i | −0.209418 | − | 0.362722i | ||||
\(876\) | −2.73040 | + | 5.01067i | −0.0922516 | + | 0.169295i | ||||
\(877\) | −16.0175 | + | 9.24768i | −0.540871 | + | 0.312272i | −0.745432 | − | 0.666582i | \(-0.767757\pi\) |
0.204561 | + | 0.978854i | \(0.434423\pi\) | |||||||
\(878\) | 32.5783 | − | 18.8091i | 1.09946 | − | 0.634776i | ||||
\(879\) | 46.0658 | + | 25.1020i | 1.55376 | + | 0.846668i | ||||
\(880\) | 1.16753 | − | 6.40647i | 0.0393574 | − | 0.215962i | ||||
\(881\) | −43.3756 | − | 25.0429i | −1.46136 | − | 0.843718i | −0.462288 | − | 0.886730i | \(-0.652971\pi\) |
−0.999075 | + | 0.0430115i | \(0.986305\pi\) | |||||||
\(882\) | −16.6343 | + | 0.821308i | −0.560105 | + | 0.0276549i | ||||
\(883\) | 8.28310 | 0.278749 | 0.139374 | − | 0.990240i | \(-0.455491\pi\) | ||||
0.139374 | + | 0.990240i | \(0.455491\pi\) | |||||||
\(884\) | −0.548053 | + | 5.47252i | −0.0184330 | + | 0.184061i | ||||
\(885\) | −0.699217 | − | 0.381014i | −0.0235039 | − | 0.0128077i | ||||
\(886\) | −19.2812 | − | 11.1320i | −0.647766 | − | 0.373988i | ||||
\(887\) | 21.5798 | − | 37.3774i | 0.724580 | − | 1.25501i | −0.234566 | − | 0.972100i | \(-0.575367\pi\) |
0.959146 | − | 0.282910i | \(-0.0912997\pi\) | |||||||
\(888\) | −1.01938 | − | 41.3168i | −0.0342080 | − | 1.38650i | ||||
\(889\) | −3.34503 | −0.112189 | ||||||||
\(890\) | −6.34967 | − | 10.9979i | −0.212841 | − | 0.368652i | ||||
\(891\) | 16.9821 | − | 24.5481i | 0.568922 | − | 0.822392i | ||||
\(892\) | 5.68983 | 0.190510 | ||||||||
\(893\) | 0.434968 | + | 0.753386i | 0.0145556 | + | 0.0252111i | ||||
\(894\) | −16.8672 | + | 10.3011i | −0.564122 | + | 0.344522i | ||||
\(895\) | 3.66197 | − | 6.34271i | 0.122406 | − | 0.212014i | ||||
\(896\) | 3.23482i | 0.108068i | ||||||||
\(897\) | −1.88082 | + | 0.904950i | −0.0627986 | + | 0.0302154i | ||||
\(898\) | − | 23.0810i | − | 0.770223i | ||||||
\(899\) | −3.64800 | + | 6.31852i | −0.121668 | + | 0.210735i | ||||
\(900\) | 8.65976 | − | 0.427571i | 0.288659 | − | 0.0142524i | ||||
\(901\) | 7.73881 | − | 4.46801i | 0.257817 | − | 0.148851i | ||||
\(902\) | −8.00318 | + | 9.42756i | −0.266477 | + | 0.313903i | ||||
\(903\) | −0.253469 | − | 10.2735i | −0.00843492 | − | 0.341880i | ||||
\(904\) | −45.1701 | + | 26.0789i | −1.50233 | + | 0.867373i | ||||
\(905\) | − | 2.77029i | − | 0.0920874i | ||||||
\(906\) | −20.7198 | + | 0.511204i | −0.688371 | + | 0.0169836i | ||||
\(907\) | −19.0463 | + | 32.9892i | −0.632422 | + | 1.09539i | 0.354633 | + | 0.935005i | \(0.384606\pi\) |
−0.987055 | + | 0.160381i | \(0.948728\pi\) | |||||||
\(908\) | −9.06729 | + | 15.7050i | −0.300908 | + | 0.521189i | ||||
\(909\) | −8.94524 | − | 13.8661i | −0.296695 | − | 0.459910i | ||||
\(910\) | 5.08347 | − | 2.29326i | 0.168515 | − | 0.0760207i | ||||
\(911\) | − | 15.8601i | − | 0.525467i | −0.964868 | − | 0.262734i | \(-0.915376\pi\) | ||
0.964868 | − | 0.262734i | \(-0.0846240\pi\) | |||||||
\(912\) | −1.88214 | − | 3.08183i | −0.0623240 | − | 0.102050i | ||||
\(913\) | −11.4990 | − | 32.1655i | −0.380560 | − | 1.06452i | ||||
\(914\) | −28.9201 | + | 16.6970i | −0.956593 | + | 0.552289i | ||||
\(915\) | 16.8572 | + | 9.18576i | 0.557282 | + | 0.303672i | ||||
\(916\) | 0.244052 | + | 0.422711i | 0.00806371 | + | 0.0139667i | ||||
\(917\) | −18.1618 | + | 10.4857i | −0.599756 | + | 0.346269i | ||||
\(918\) | 0.957489 | + | 12.9152i | 0.0316019 | + | 0.426264i | ||||
\(919\) | 15.7894 | − | 9.11604i | 0.520846 | − | 0.300710i | −0.216435 | − | 0.976297i | \(-0.569443\pi\) |
0.737281 | + | 0.675587i | \(0.236110\pi\) | |||||||
\(920\) | 0.477402 | − | 0.826884i | 0.0157395 | − | 0.0272616i | ||||
\(921\) | −24.2309 | − | 39.6758i | −0.798435 | − | 1.30736i | ||||
\(922\) | 10.1446 | 0.334095 | ||||||||
\(923\) | −23.9500 | + | 33.3068i | −0.788325 | + | 1.09631i | ||||
\(924\) | 2.10820 | + | 5.46779i | 0.0693546 | + | 0.179877i | ||||
\(925\) | −16.0400 | + | 27.7820i | −0.527391 | + | 0.913467i | ||||
\(926\) | −8.52912 | + | 14.7729i | −0.280284 | + | 0.485466i | ||||
\(927\) | −0.234434 | + | 0.456681i | −0.00769981 | + | 0.0149994i | ||||
\(928\) | −4.24336 | −0.139295 | ||||||||
\(929\) | 10.5977 | − | 6.11859i | 0.347700 | − | 0.200744i | −0.315972 | − | 0.948769i | \(-0.602331\pi\) |
0.663672 | + | 0.748024i | \(0.268997\pi\) | |||||||
\(930\) | −11.7985 | + | 0.291096i | −0.386889 | + | 0.00954540i | ||||
\(931\) | 4.79462i | 0.157137i | ||||||||
\(932\) | 0.391733 | + | 0.678502i | 0.0128316 | + | 0.0222251i | ||||
\(933\) | 0.0805198 | + | 0.131844i | 0.00263610 | + | 0.00431637i | ||||
\(934\) | −18.0495 | − | 10.4209i | −0.590598 | − | 0.340982i | ||||
\(935\) | 5.12550 | + | 4.35110i | 0.167622 | + | 0.142296i | ||||
\(936\) | −1.68022 | + | 33.2572i | −0.0549198 | + | 1.08704i | ||||
\(937\) | 9.67073i | 0.315929i | 0.987445 | + | 0.157964i | \(0.0504931\pi\) | ||||
−0.987445 | + | 0.157964i | \(0.949507\pi\) | |||||||
\(938\) | −6.27134 | − | 3.62076i | −0.204767 | − | 0.118222i | ||||
\(939\) | −6.60258 | + | 4.03234i | −0.215467 | + | 0.131590i | ||||
\(940\) | 0.286039 | + | 0.495434i | 0.00932957 | + | 0.0161593i | ||||
\(941\) | 33.9337 | 1.10621 | 0.553103 | − | 0.833113i | \(-0.313444\pi\) | ||||
0.553103 | + | 0.833113i | \(0.313444\pi\) | |||||||
\(942\) | −1.04963 | − | 42.5431i | −0.0341988 | − | 1.38613i | ||||
\(943\) | −0.945919 | + | 0.546127i | −0.0308034 | + | 0.0177843i | ||||
\(944\) | − | 1.04822i | − | 0.0341168i | ||||||
\(945\) | −5.82343 | + | 3.96354i | −0.189436 | + | 0.128934i | ||||
\(946\) | −14.4713 | + | 5.17340i | −0.470503 | + | 0.168202i | ||||
\(947\) | −2.44723 | − | 1.41291i | −0.0795244 | − | 0.0459134i | 0.459711 | − | 0.888069i | \(-0.347953\pi\) |
−0.539235 | + | 0.842155i | \(0.681286\pi\) | |||||||
\(948\) | 3.24679 | − | 5.95833i | 0.105451 | − | 0.193518i | ||||
\(949\) | 6.99522 | + | 15.5063i | 0.227074 | + | 0.503357i | ||||
\(950\) | 4.65307i | 0.150965i | ||||||||
\(951\) | −28.7258 | − | 47.0358i | −0.931497 | − | 1.52524i | ||||
\(952\) | −8.50834 | − | 4.91229i | −0.275757 | − | 0.159208i | ||||
\(953\) | −24.6226 | − | 42.6477i | −0.797605 | − | 1.38149i | −0.921172 | − | 0.389157i | \(-0.872766\pi\) |
0.123566 | − | 0.992336i | \(-0.460567\pi\) | |||||||
\(954\) | 11.7656 | − | 7.59018i | 0.380926 | − | 0.245741i | ||||
\(955\) | −9.89720 | − | 17.1425i | −0.320266 | − | 0.554717i | ||||
\(956\) | −6.95005 | − | 12.0378i | −0.224781 | − | 0.389332i | ||||
\(957\) | 6.07632 | − | 2.34283i | 0.196420 | − | 0.0757328i | ||||
\(958\) | 0.436548 | + | 0.756123i | 0.0141042 | + | 0.0244292i | ||||
\(959\) | −5.19342 | + | 8.99527i | −0.167704 | + | 0.290472i | ||||
\(960\) | −7.12266 | − | 11.6627i | −0.229883 | − | 0.376412i | ||||
\(961\) | 10.4200 | 0.336128 | ||||||||
\(962\) | −25.8869 | − | 18.6146i | −0.834627 | − | 0.600158i | ||||
\(963\) | −16.5465 | − | 25.6490i | −0.533204 | − | 0.826526i | ||||
\(964\) | 7.27113 | + | 4.19799i | 0.234187 | + | 0.135208i | ||||
\(965\) | 9.06045 | − | 15.6932i | 0.291666 | − | 0.505181i | ||||
\(966\) | −0.0237982 | − | 0.964577i | −0.000765695 | − | 0.0310347i | ||||
\(967\) | − | 23.3248i | − | 0.750077i | −0.927009 | − | 0.375038i | \(-0.877630\pi\) | ||
0.927009 | − | 0.375038i | \(-0.122370\pi\) | |||||||
\(968\) | 26.1891 | − | 21.4686i | 0.841751 | − | 0.690027i | ||||
\(969\) | 3.72717 | − | 0.0919573i | 0.119734 | − | 0.00295410i | ||||
\(970\) | − | 3.17409i | − | 0.101914i | ||||||
\(971\) | 36.8305 | − | 21.2641i | 1.18195 | − | 0.682398i | 0.225484 | − | 0.974247i | \(-0.427604\pi\) |
0.956464 | + | 0.291849i | \(0.0942704\pi\) | |||||||
\(972\) | −1.33913 | − | 10.8025i | −0.0429527 | − | 0.346490i | ||||
\(973\) | −14.7407 | + | 25.5316i | −0.472564 | + | 0.818505i | ||||
\(974\) | −36.0629 | −1.15553 | ||||||||
\(975\) | 14.5676 | − | 21.3509i | 0.466538 | − | 0.683776i | ||||
\(976\) | 25.2713i | 0.808915i | ||||||||
\(977\) | −17.8953 | − | 10.3318i | −0.572521 | − | 0.330545i | 0.185635 | − | 0.982619i | \(-0.440566\pi\) |
−0.758156 | + | 0.652074i | \(0.773899\pi\) | |||||||
\(978\) | −0.379103 | + | 0.231527i | −0.0121224 | + | 0.00740340i | ||||
\(979\) | 7.13242 | − | 39.1370i | 0.227953 | − | 1.25083i | ||||
\(980\) | 3.15299i | 0.100719i | ||||||||
\(981\) | −53.7345 | − | 27.5842i | −1.71561 | − | 0.880695i | ||||
\(982\) | −20.8487 | − | 36.1110i | −0.665308 | − | 1.15235i | ||||
\(983\) | − | 16.8674i | − | 0.537987i | −0.963142 | − | 0.268994i | \(-0.913309\pi\) | ||
0.963142 | − | 0.268994i | \(-0.0866910\pi\) | |||||||
\(984\) | 0.429807 | + | 17.4207i | 0.0137017 | + | 0.555352i | ||||
\(985\) | 1.63631 | + | 0.944724i | 0.0521371 | + | 0.0301014i | ||||
\(986\) | −1.41273 | + | 2.44691i | −0.0449904 | + | 0.0779256i | ||||
\(987\) | 1.96158 | + | 1.06890i | 0.0624379 | + | 0.0340234i | ||||
\(988\) | 2.46853 | + | 0.247214i | 0.0785343 | + | 0.00786492i | ||||
\(989\) | −1.35738 | −0.0431622 | ||||||||
\(990\) | 8.35736 | + | 6.41322i | 0.265614 | + | 0.203826i | ||||
\(991\) | 10.9943 | − | 19.0427i | 0.349246 | − | 0.604912i | −0.636870 | − | 0.770972i | \(-0.719771\pi\) |
0.986116 | + | 0.166059i | \(0.0531044\pi\) | |||||||
\(992\) | 12.0449 | + | 20.8625i | 0.382427 | + | 0.662384i | ||||
\(993\) | 38.7610 | + | 21.1215i | 1.23004 | + | 0.670270i | ||||
\(994\) | −9.48222 | − | 16.4237i | −0.300758 | − | 0.520928i | ||||
\(995\) | −0.797046 | + | 0.460174i | −0.0252680 | + | 0.0145885i | ||||
\(996\) | −10.9382 | − | 5.96038i | −0.346589 | − | 0.188862i | ||||
\(997\) | 10.3297 | − | 5.96384i | 0.327144 | − | 0.188877i | −0.327428 | − | 0.944876i | \(-0.606182\pi\) |
0.654572 | + | 0.755999i | \(0.272849\pi\) | |||||||
\(998\) | 3.16723 | − | 5.48579i | 0.100257 | − | 0.173650i | ||||
\(999\) | 36.2725 | + | 17.5036i | 1.14761 | + | 0.553789i |
(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 | 429.2.p.b.230.18 | yes | 96 | |
3.2 | odd | 2 | inner | 429.2.p.b.230.31 | yes | 96 | |
11.10 | odd | 2 | inner | 429.2.p.b.230.32 | yes | 96 | |
13.3 | even | 3 | inner | 429.2.p.b.263.17 | yes | 96 | |
33.32 | even | 2 | inner | 429.2.p.b.230.17 | ✓ | 96 | |
39.29 | odd | 6 | inner | 429.2.p.b.263.32 | yes | 96 | |
143.120 | odd | 6 | inner | 429.2.p.b.263.31 | yes | 96 | |
429.263 | even | 6 | inner | 429.2.p.b.263.18 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.p.b.230.17 | ✓ | 96 | 33.32 | even | 2 | inner | |
429.2.p.b.230.18 | yes | 96 | 1.1 | even | 1 | trivial | |
429.2.p.b.230.31 | yes | 96 | 3.2 | odd | 2 | inner | |
429.2.p.b.230.32 | yes | 96 | 11.10 | odd | 2 | inner | |
429.2.p.b.263.17 | yes | 96 | 13.3 | even | 3 | inner | |
429.2.p.b.263.18 | yes | 96 | 429.263 | even | 6 | inner | |
429.2.p.b.263.31 | yes | 96 | 143.120 | odd | 6 | inner | |
429.2.p.b.263.32 | yes | 96 | 39.29 | odd | 6 | inner |