Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [231,2,Mod(64,231)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(231, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("231.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 231 = 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 231.j (of order \(5\), degree \(4\), 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: | \(1.84454428669\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 8.0.13140625.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 3x^{7} + 5x^{6} - 3x^{5} + 4x^{4} + 3x^{3} + 5x^{2} + 3x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 190.1 | ||
Root | \(-0.386111 + 0.280526i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 231.190 |
Dual form | 231.2.j.f.169.1 |
$q$-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 \(\left(\mathbb{Z}/231\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.43376 | + | 1.04169i | −1.01382 | + | 0.736584i | −0.965007 | − | 0.262224i | \(-0.915544\pi\) |
−0.0488134 | + | 0.998808i | \(0.515544\pi\) | |||||||
\(3\) | −0.309017 | − | 0.951057i | −0.178411 | − | 0.549093i | ||||
\(4\) | 0.352519 | − | 1.08494i | 0.176259 | − | 0.542470i | ||||
\(5\) | −0.477260 | − | 0.346750i | −0.213437 | − | 0.155071i | 0.475930 | − | 0.879483i | \(-0.342111\pi\) |
−0.689367 | + | 0.724412i | \(0.742111\pi\) | |||||||
\(6\) | 1.43376 | + | 1.04169i | 0.585329 | + | 0.425267i | ||||
\(7\) | −0.309017 | + | 0.951057i | −0.116797 | + | 0.359466i | ||||
\(8\) | −0.470553 | − | 1.44821i | −0.166365 | − | 0.512020i | ||||
\(9\) | −0.809017 | + | 0.587785i | −0.269672 | + | 0.195928i | ||||
\(10\) | 1.04548 | 0.330610 | ||||||||
\(11\) | −2.19098 | − | 2.48990i | −0.660606 | − | 0.750733i | ||||
\(12\) | −1.14077 | −0.329313 | ||||||||
\(13\) | 1.24948 | − | 0.907802i | 0.346544 | − | 0.251779i | −0.400874 | − | 0.916133i | \(-0.631293\pi\) |
0.747418 | + | 0.664354i | \(0.231293\pi\) | |||||||
\(14\) | −0.547647 | − | 1.68548i | −0.146365 | − | 0.450465i | ||||
\(15\) | −0.182297 | + | 0.561053i | −0.0470689 | + | 0.144863i | ||||
\(16\) | 4.02905 | + | 2.92728i | 1.00726 | + | 0.731819i | ||||
\(17\) | −5.78051 | − | 4.19979i | −1.40198 | − | 1.01860i | −0.994428 | − | 0.105417i | \(-0.966382\pi\) |
−0.407552 | − | 0.913182i | \(-0.633618\pi\) | |||||||
\(18\) | 0.547647 | − | 1.68548i | 0.129082 | − | 0.397272i | ||||
\(19\) | −1.91300 | − | 5.88760i | −0.438872 | − | 1.35071i | −0.889067 | − | 0.457778i | \(-0.848646\pi\) |
0.450195 | − | 0.892930i | \(-0.351354\pi\) | |||||||
\(20\) | −0.544446 | + | 0.395563i | −0.121742 | + | 0.0884506i | ||||
\(21\) | 1.00000 | 0.218218 | ||||||||
\(22\) | 5.73503 | + | 1.28760i | 1.22271 | + | 0.274516i | ||||
\(23\) | 3.76314 | 0.784669 | 0.392335 | − | 0.919823i | \(-0.371668\pi\) | ||||
0.392335 | + | 0.919823i | \(0.371668\pi\) | |||||||
\(24\) | −1.23192 | + | 0.895044i | −0.251465 | + | 0.182700i | ||||
\(25\) | −1.43754 | − | 4.42430i | −0.287509 | − | 0.884861i | ||||
\(26\) | −0.845811 | + | 2.60314i | −0.165877 | + | 0.510518i | ||||
\(27\) | 0.809017 | + | 0.587785i | 0.155695 | + | 0.113119i | ||||
\(28\) | 0.922906 | + | 0.670530i | 0.174413 | + | 0.126718i | ||||
\(29\) | 0.187665 | − | 0.577574i | 0.0348486 | − | 0.107253i | −0.932119 | − | 0.362152i | \(-0.882042\pi\) |
0.966968 | + | 0.254899i | \(0.0820422\pi\) | |||||||
\(30\) | −0.323071 | − | 0.994311i | −0.0589844 | − | 0.181535i | ||||
\(31\) | 5.55914 | − | 4.03895i | 0.998451 | − | 0.725417i | 0.0366954 | − | 0.999326i | \(-0.488317\pi\) |
0.961755 | + | 0.273909i | \(0.0883169\pi\) | |||||||
\(32\) | −5.78051 | −1.02186 | ||||||||
\(33\) | −1.69098 | + | 2.85317i | −0.294362 | + | 0.496673i | ||||
\(34\) | 12.6627 | 2.17164 | ||||||||
\(35\) | 0.477260 | − | 0.346750i | 0.0806717 | − | 0.0586114i | ||||
\(36\) | 0.352519 | + | 1.08494i | 0.0587531 | + | 0.180823i | ||||
\(37\) | −2.38157 | + | 7.32972i | −0.391528 | + | 1.20500i | 0.540105 | + | 0.841598i | \(0.318385\pi\) |
−0.931633 | + | 0.363401i | \(0.881615\pi\) | |||||||
\(38\) | 8.87581 | + | 6.44865i | 1.43985 | + | 1.04611i | ||||
\(39\) | −1.24948 | − | 0.907802i | −0.200077 | − | 0.145365i | ||||
\(40\) | −0.277591 | + | 0.854338i | −0.0438910 | + | 0.135083i | ||||
\(41\) | 2.31233 | + | 7.11663i | 0.361126 | + | 1.11143i | 0.952372 | + | 0.304940i | \(0.0986364\pi\) |
−0.591246 | + | 0.806492i | \(0.701364\pi\) | |||||||
\(42\) | −1.43376 | + | 1.04169i | −0.221234 | + | 0.160736i | ||||
\(43\) | −10.9537 | −1.67043 | −0.835214 | − | 0.549925i | \(-0.814656\pi\) | ||||
−0.835214 | + | 0.549925i | \(0.814656\pi\) | |||||||
\(44\) | −3.47375 | + | 1.49935i | −0.523688 | + | 0.226036i | ||||
\(45\) | 0.589926 | 0.0879409 | ||||||||
\(46\) | −5.39544 | + | 3.92001i | −0.795514 | + | 0.577975i | ||||
\(47\) | −3.15419 | − | 9.70760i | −0.460086 | − | 1.41600i | −0.865059 | − | 0.501670i | \(-0.832719\pi\) |
0.404973 | − | 0.914328i | \(-0.367281\pi\) | |||||||
\(48\) | 1.53896 | − | 4.73644i | 0.222130 | − | 0.683646i | ||||
\(49\) | −0.809017 | − | 0.587785i | −0.115574 | − | 0.0839693i | ||||
\(50\) | 6.66983 | + | 4.84591i | 0.943256 | + | 0.685316i | ||||
\(51\) | −2.20796 | + | 6.79540i | −0.309176 | + | 0.951547i | ||||
\(52\) | −0.544446 | − | 1.67563i | −0.0755010 | − | 0.232368i | ||||
\(53\) | −5.69927 | + | 4.14076i | −0.782855 | + | 0.568778i | −0.905835 | − | 0.423631i | \(-0.860755\pi\) |
0.122979 | + | 0.992409i | \(0.460755\pi\) | |||||||
\(54\) | −1.77222 | −0.241169 | ||||||||
\(55\) | 0.182297 | + | 1.94805i | 0.0245809 | + | 0.262675i | ||||
\(56\) | 1.52274 | 0.203485 | ||||||||
\(57\) | −5.00829 | + | 3.63874i | −0.663364 | + | 0.481962i | ||||
\(58\) | 0.332585 | + | 1.02359i | 0.0436705 | + | 0.134404i | ||||
\(59\) | −1.03640 | + | 3.18971i | −0.134928 | + | 0.415265i | −0.995579 | − | 0.0939305i | \(-0.970057\pi\) |
0.860651 | + | 0.509195i | \(0.170057\pi\) | |||||||
\(60\) | 0.544446 | + | 0.395563i | 0.0702876 | + | 0.0510670i | ||||
\(61\) | 2.72674 | + | 1.98109i | 0.349124 | + | 0.253653i | 0.748501 | − | 0.663133i | \(-0.230774\pi\) |
−0.399378 | + | 0.916787i | \(0.630774\pi\) | |||||||
\(62\) | −3.76314 | + | 11.5818i | −0.477920 | + | 1.47088i | ||||
\(63\) | −0.309017 | − | 0.951057i | −0.0389325 | − | 0.119822i | ||||
\(64\) | 0.229756 | − | 0.166927i | 0.0287194 | − | 0.0208659i | ||||
\(65\) | −0.911108 | −0.113009 | ||||||||
\(66\) | −0.547647 | − | 5.85223i | −0.0674107 | − | 0.720360i | ||||
\(67\) | −2.19138 | −0.267719 | −0.133860 | − | 0.991000i | \(-0.542737\pi\) | ||||
−0.133860 | + | 0.991000i | \(0.542737\pi\) | |||||||
\(68\) | −6.59426 | + | 4.79101i | −0.799671 | + | 0.580995i | ||||
\(69\) | −1.16287 | − | 3.57896i | −0.139994 | − | 0.430856i | ||||
\(70\) | −0.323071 | + | 0.994311i | −0.0386144 | + | 0.118843i | ||||
\(71\) | 11.2801 | + | 8.19549i | 1.33870 | + | 0.972625i | 0.999491 | + | 0.0319157i | \(0.0101608\pi\) |
0.339213 | + | 0.940710i | \(0.389839\pi\) | |||||||
\(72\) | 1.23192 | + | 0.895044i | 0.145183 | + | 0.105482i | ||||
\(73\) | −0.800331 | + | 2.46317i | −0.0936717 | + | 0.288292i | −0.986905 | − | 0.161301i | \(-0.948431\pi\) |
0.893234 | + | 0.449593i | \(0.148431\pi\) | |||||||
\(74\) | −4.22067 | − | 12.9899i | −0.490643 | − | 1.51005i | ||||
\(75\) | −3.76354 | + | 2.73437i | −0.434576 | + | 0.315738i | ||||
\(76\) | −7.06206 | −0.810074 | ||||||||
\(77\) | 3.04508 | − | 1.31433i | 0.347020 | − | 0.149782i | ||||
\(78\) | 2.73710 | 0.309916 | ||||||||
\(79\) | 3.77286 | − | 2.74114i | 0.424480 | − | 0.308403i | −0.354958 | − | 0.934882i | \(-0.615505\pi\) |
0.779438 | + | 0.626479i | \(0.215505\pi\) | |||||||
\(80\) | −0.907873 | − | 2.79415i | −0.101503 | − | 0.312395i | ||||
\(81\) | 0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | ||||
\(82\) | −10.7286 | − | 7.79481i | −1.18478 | − | 0.860792i | ||||
\(83\) | 2.83941 | + | 2.06295i | 0.311666 | + | 0.226438i | 0.732611 | − | 0.680648i | \(-0.238302\pi\) |
−0.420945 | + | 0.907086i | \(0.638302\pi\) | |||||||
\(84\) | 0.352519 | − | 1.08494i | 0.0384629 | − | 0.118377i | ||||
\(85\) | 1.30253 | + | 4.00878i | 0.141279 | + | 0.434814i | ||||
\(86\) | 15.7050 | − | 11.4104i | 1.69351 | − | 1.23041i | ||||
\(87\) | −0.607298 | −0.0651091 | ||||||||
\(88\) | −2.57493 | + | 4.34464i | −0.274488 | + | 0.463140i | ||||
\(89\) | 8.15095 | 0.863999 | 0.432000 | − | 0.901874i | \(-0.357808\pi\) | ||||
0.432000 | + | 0.901874i | \(0.357808\pi\) | |||||||
\(90\) | −0.845811 | + | 0.614518i | −0.0891563 | + | 0.0647759i | ||||
\(91\) | 0.477260 | + | 1.46886i | 0.0500304 | + | 0.153978i | ||||
\(92\) | 1.32658 | − | 4.08279i | 0.138305 | − | 0.425660i | ||||
\(93\) | −5.55914 | − | 4.03895i | −0.576456 | − | 0.418820i | ||||
\(94\) | 14.6346 | + | 10.6327i | 1.50945 | + | 1.09668i | ||||
\(95\) | −1.12853 | + | 3.47325i | −0.115784 | + | 0.356348i | ||||
\(96\) | 1.78628 | + | 5.49760i | 0.182311 | + | 0.561096i | ||||
\(97\) | 3.88093 | − | 2.81966i | 0.394049 | − | 0.286293i | −0.373064 | − | 0.927806i | \(-0.621693\pi\) |
0.767113 | + | 0.641512i | \(0.221693\pi\) | |||||||
\(98\) | 1.77222 | 0.179022 | ||||||||
\(99\) | 3.23607 | + | 0.726543i | 0.325237 | + | 0.0730203i | ||||
\(100\) | −5.30687 | −0.530687 | ||||||||
\(101\) | 1.15419 | − | 0.838567i | 0.114846 | − | 0.0834406i | −0.528880 | − | 0.848697i | \(-0.677388\pi\) |
0.643726 | + | 0.765256i | \(0.277388\pi\) | |||||||
\(102\) | −3.91300 | − | 12.0430i | −0.387444 | − | 1.19243i | ||||
\(103\) | 5.44403 | − | 16.7550i | 0.536416 | − | 1.65092i | −0.204153 | − | 0.978939i | \(-0.565444\pi\) |
0.740569 | − | 0.671980i | \(-0.234556\pi\) | |||||||
\(104\) | −1.90264 | − | 1.38235i | −0.186569 | − | 0.135550i | ||||
\(105\) | −0.477260 | − | 0.346750i | −0.0465758 | − | 0.0338393i | ||||
\(106\) | 3.85800 | − | 11.8737i | 0.374722 | − | 1.15328i | ||||
\(107\) | −2.22494 | − | 6.84765i | −0.215093 | − | 0.661987i | −0.999147 | − | 0.0412951i | \(-0.986852\pi\) |
0.784054 | − | 0.620692i | \(-0.213148\pi\) | |||||||
\(108\) | 0.922906 | − | 0.670530i | 0.0888066 | − | 0.0645218i | ||||
\(109\) | −8.88678 | −0.851199 | −0.425599 | − | 0.904912i | \(-0.639937\pi\) | ||||
−0.425599 | + | 0.904912i | \(0.639937\pi\) | |||||||
\(110\) | −2.29063 | − | 2.60314i | −0.218403 | − | 0.248200i | ||||
\(111\) | 7.70693 | 0.731509 | ||||||||
\(112\) | −4.02905 | + | 2.92728i | −0.380710 | + | 0.276602i | ||||
\(113\) | −2.41300 | − | 7.42644i | −0.226996 | − | 0.698621i | −0.998083 | − | 0.0618913i | \(-0.980287\pi\) |
0.771087 | − | 0.636730i | \(-0.219713\pi\) | |||||||
\(114\) | 3.39026 | − | 10.4341i | 0.317527 | − | 0.977247i | ||||
\(115\) | −1.79600 | − | 1.30487i | −0.167478 | − | 0.121680i | ||||
\(116\) | −0.560478 | − | 0.407211i | −0.0520391 | − | 0.0378086i | ||||
\(117\) | −0.477260 | + | 1.46886i | −0.0441227 | + | 0.135796i | ||||
\(118\) | −1.83673 | − | 5.65287i | −0.169085 | − | 0.520389i | ||||
\(119\) | 5.78051 | − | 4.19979i | 0.529899 | − | 0.384994i | ||||
\(120\) | 0.898304 | 0.0820035 | ||||||||
\(121\) | −1.39919 | + | 10.9106i | −0.127199 | + | 0.991877i | ||||
\(122\) | −5.97317 | −0.540785 | ||||||||
\(123\) | 6.05377 | − | 4.39832i | 0.545850 | − | 0.396583i | ||||
\(124\) | −2.42232 | − | 7.45514i | −0.217531 | − | 0.669491i | ||||
\(125\) | −1.75953 | + | 5.41527i | −0.157377 | + | 0.484357i | ||||
\(126\) | 1.43376 | + | 1.04169i | 0.127729 | + | 0.0928008i | ||||
\(127\) | −6.67589 | − | 4.85032i | −0.592390 | − | 0.430396i | 0.250780 | − | 0.968044i | \(-0.419313\pi\) |
−0.843170 | + | 0.537648i | \(0.819313\pi\) | |||||||
\(128\) | 3.41703 | − | 10.5165i | 0.302025 | − | 0.929538i | ||||
\(129\) | 3.38489 | + | 10.4176i | 0.298023 | + | 0.917220i | ||||
\(130\) | 1.30631 | − | 0.949089i | 0.114571 | − | 0.0832406i | ||||
\(131\) | 12.1162 | 1.05860 | 0.529299 | − | 0.848435i | \(-0.322455\pi\) | ||||
0.529299 | + | 0.848435i | \(0.322455\pi\) | |||||||
\(132\) | 2.49942 | + | 2.84041i | 0.217546 | + | 0.247226i | ||||
\(133\) | 6.19059 | 0.536792 | ||||||||
\(134\) | 3.14191 | − | 2.28273i | 0.271419 | − | 0.197198i | ||||
\(135\) | −0.182297 | − | 0.561053i | −0.0156896 | − | 0.0482877i | ||||
\(136\) | −3.36215 | + | 10.3476i | −0.288302 | + | 0.887302i | ||||
\(137\) | 14.1212 | + | 10.2597i | 1.20646 | + | 0.876541i | 0.994904 | − | 0.100826i | \(-0.0321484\pi\) |
0.211551 | + | 0.977367i | \(0.432148\pi\) | |||||||
\(138\) | 5.39544 | + | 3.92001i | 0.459290 | + | 0.333694i | ||||
\(139\) | 4.56182 | − | 14.0398i | 0.386928 | − | 1.19084i | −0.548143 | − | 0.836384i | \(-0.684665\pi\) |
0.935072 | − | 0.354459i | \(-0.115335\pi\) | |||||||
\(140\) | −0.207960 | − | 0.640034i | −0.0175758 | − | 0.0540928i | ||||
\(141\) | −8.25777 | + | 5.99962i | −0.695430 | + | 0.505259i | ||||
\(142\) | −24.7101 | −2.07362 | ||||||||
\(143\) | −4.99793 | − | 1.12211i | −0.417948 | − | 0.0938352i | ||||
\(144\) | −4.98018 | −0.415015 | ||||||||
\(145\) | −0.289839 | + | 0.210580i | −0.0240698 | + | 0.0174877i | ||||
\(146\) | −1.41837 | − | 4.36528i | −0.117385 | − | 0.361273i | ||||
\(147\) | −0.309017 | + | 0.951057i | −0.0254873 | + | 0.0784418i | ||||
\(148\) | 7.11276 | + | 5.16773i | 0.584666 | + | 0.424784i | ||||
\(149\) | −10.1336 | − | 7.36248i | −0.830175 | − | 0.603158i | 0.0894336 | − | 0.995993i | \(-0.471494\pi\) |
−0.919609 | + | 0.392835i | \(0.871494\pi\) | |||||||
\(150\) | 2.54765 | − | 7.84085i | 0.208015 | − | 0.640203i | ||||
\(151\) | 0.101534 | + | 0.312491i | 0.00826275 | + | 0.0254301i | 0.955103 | − | 0.296274i | \(-0.0957443\pi\) |
−0.946840 | + | 0.321704i | \(0.895744\pi\) | |||||||
\(152\) | −7.62632 | + | 5.54085i | −0.618577 | + | 0.449422i | ||||
\(153\) | 7.14511 | 0.577648 | ||||||||
\(154\) | −2.99680 | + | 5.05645i | −0.241489 | + | 0.407461i | ||||
\(155\) | −4.05366 | −0.325598 | ||||||||
\(156\) | −1.42538 | + | 1.03560i | −0.114122 | + | 0.0829142i | ||||
\(157\) | −0.828439 | − | 2.54967i | −0.0661167 | − | 0.203486i | 0.912540 | − | 0.408987i | \(-0.134118\pi\) |
−0.978657 | + | 0.205501i | \(0.934118\pi\) | |||||||
\(158\) | −2.55396 | + | 7.86028i | −0.203182 | + | 0.625330i | ||||
\(159\) | 5.69927 | + | 4.14076i | 0.451982 | + | 0.328384i | ||||
\(160\) | 2.75881 | + | 2.00439i | 0.218103 | + | 0.158461i | ||||
\(161\) | −1.16287 | + | 3.57896i | −0.0916474 | + | 0.282062i | ||||
\(162\) | 0.547647 | + | 1.68548i | 0.0430272 | + | 0.132424i | ||||
\(163\) | 0.721375 | − | 0.524109i | 0.0565024 | − | 0.0410514i | −0.559176 | − | 0.829049i | \(-0.688882\pi\) |
0.615678 | + | 0.787998i | \(0.288882\pi\) | |||||||
\(164\) | 8.53627 | 0.666570 | ||||||||
\(165\) | 1.79637 | − | 0.775356i | 0.139848 | − | 0.0603614i | ||||
\(166\) | −6.21997 | −0.482764 | ||||||||
\(167\) | −9.35307 | + | 6.79540i | −0.723762 | + | 0.525844i | −0.887584 | − | 0.460646i | \(-0.847618\pi\) |
0.163822 | + | 0.986490i | \(0.447618\pi\) | |||||||
\(168\) | −0.470553 | − | 1.44821i | −0.0363039 | − | 0.111732i | ||||
\(169\) | −3.28012 | + | 10.0952i | −0.252317 | + | 0.776551i | ||||
\(170\) | −6.04341 | − | 4.39080i | −0.463509 | − | 0.336759i | ||||
\(171\) | 5.00829 | + | 3.63874i | 0.382994 | + | 0.278261i | ||||
\(172\) | −3.86139 | + | 11.8841i | −0.294428 | + | 0.906158i | ||||
\(173\) | 2.77784 | + | 8.54930i | 0.211195 | + | 0.649991i | 0.999402 | + | 0.0345809i | \(0.0110096\pi\) |
−0.788207 | + | 0.615410i | \(0.788990\pi\) | |||||||
\(174\) | 0.870718 | − | 0.632614i | 0.0660090 | − | 0.0479583i | ||||
\(175\) | 4.65199 | 0.351657 | ||||||||
\(176\) | −1.53896 | − | 16.4455i | −0.116004 | − | 1.23963i | ||||
\(177\) | 3.35386 | 0.252091 | ||||||||
\(178\) | −11.6865 | + | 8.49074i | −0.875940 | + | 0.636408i | ||||
\(179\) | −1.89919 | − | 5.84510i | −0.141952 | − | 0.436883i | 0.854655 | − | 0.519197i | \(-0.173769\pi\) |
−0.996606 | + | 0.0823141i | \(0.973769\pi\) | |||||||
\(180\) | 0.207960 | − | 0.640034i | 0.0155004 | − | 0.0477053i | ||||
\(181\) | −12.1079 | − | 8.79692i | −0.899975 | − | 0.653870i | 0.0384849 | − | 0.999259i | \(-0.487747\pi\) |
−0.938459 | + | 0.345389i | \(0.887747\pi\) | |||||||
\(182\) | −2.21436 | − | 1.60883i | −0.164139 | − | 0.119254i | ||||
\(183\) | 1.04152 | − | 3.20548i | 0.0769916 | − | 0.236956i | ||||
\(184\) | −1.77076 | − | 5.44983i | −0.130542 | − | 0.401767i | ||||
\(185\) | 3.67821 | − | 2.67237i | 0.270427 | − | 0.196477i | ||||
\(186\) | 12.1778 | 0.892918 | ||||||||
\(187\) | 2.20796 | + | 23.5946i | 0.161462 | + | 1.72540i | ||||
\(188\) | −11.6441 | −0.849231 | ||||||||
\(189\) | −0.809017 | + | 0.587785i | −0.0588473 | + | 0.0427551i | ||||
\(190\) | −2.00000 | − | 6.15537i | −0.145095 | − | 0.446557i | ||||
\(191\) | 3.05108 | − | 9.39026i | 0.220768 | − | 0.679456i | −0.777925 | − | 0.628357i | \(-0.783728\pi\) |
0.998694 | − | 0.0510986i | \(-0.0162723\pi\) | |||||||
\(192\) | −0.229756 | − | 0.166927i | −0.0165812 | − | 0.0120469i | ||||
\(193\) | 5.00064 | + | 3.63318i | 0.359954 | + | 0.261522i | 0.753033 | − | 0.657983i | \(-0.228590\pi\) |
−0.393079 | + | 0.919505i | \(0.628590\pi\) | |||||||
\(194\) | −2.62711 | + | 8.08543i | −0.188616 | + | 0.580500i | ||||
\(195\) | 0.281548 | + | 0.866516i | 0.0201621 | + | 0.0620525i | ||||
\(196\) | −0.922906 | + | 0.670530i | −0.0659218 | + | 0.0478950i | ||||
\(197\) | −19.0720 | −1.35882 | −0.679412 | − | 0.733757i | \(-0.737765\pi\) | ||||
−0.679412 | + | 0.733757i | \(0.737765\pi\) | |||||||
\(198\) | −5.39657 | + | 2.32928i | −0.383517 | + | 0.165535i | ||||
\(199\) | −11.8479 | −0.839878 | −0.419939 | − | 0.907552i | \(-0.637948\pi\) | ||||
−0.419939 | + | 0.907552i | \(0.637948\pi\) | |||||||
\(200\) | −5.73089 | + | 4.16373i | −0.405235 | + | 0.294420i | ||||
\(201\) | 0.677173 | + | 2.08412i | 0.0477641 | + | 0.147003i | ||||
\(202\) | −0.781304 | + | 2.40461i | −0.0549723 | + | 0.169187i | ||||
\(203\) | 0.491314 | + | 0.356961i | 0.0344835 | + | 0.0250537i | ||||
\(204\) | 6.59426 | + | 4.79101i | 0.461691 | + | 0.335438i | ||||
\(205\) | 1.36411 | − | 4.19829i | 0.0952733 | − | 0.293221i | ||||
\(206\) | 9.64803 | + | 29.6936i | 0.672210 | + | 2.06885i | ||||
\(207\) | −3.04445 | + | 2.21192i | −0.211604 | + | 0.153739i | ||||
\(208\) | 7.69162 | 0.533318 | ||||||||
\(209\) | −10.4682 | + | 17.6628i | −0.724099 | + | 1.22176i | ||||
\(210\) | 1.04548 | 0.0721450 | ||||||||
\(211\) | 16.9740 | − | 12.3324i | 1.16854 | − | 0.848994i | 0.177707 | − | 0.984084i | \(-0.443132\pi\) |
0.990833 | + | 0.135089i | \(0.0431322\pi\) | |||||||
\(212\) | 2.48338 | + | 7.64307i | 0.170560 | + | 0.524928i | ||||
\(213\) | 4.30862 | − | 13.2606i | 0.295222 | − | 0.908600i | ||||
\(214\) | 10.3231 | + | 7.50019i | 0.705674 | + | 0.512702i | ||||
\(215\) | 5.22778 | + | 3.79820i | 0.356531 | + | 0.259035i | ||||
\(216\) | 0.470553 | − | 1.44821i | 0.0320170 | − | 0.0985383i | ||||
\(217\) | 2.12340 | + | 6.53516i | 0.144146 | + | 0.443636i | ||||
\(218\) | 12.7415 | − | 9.25724i | 0.862963 | − | 0.626979i | ||||
\(219\) | 2.58993 | 0.175011 | ||||||||
\(220\) | 2.17778 | + | 0.488943i | 0.146826 | + | 0.0329645i | ||||
\(221\) | −11.0352 | −0.742310 | ||||||||
\(222\) | −11.0499 | + | 8.02820i | −0.741619 | + | 0.538818i | ||||
\(223\) | 1.04714 | + | 3.22275i | 0.0701214 | + | 0.215811i | 0.979976 | − | 0.199116i | \(-0.0638070\pi\) |
−0.909855 | + | 0.414927i | \(0.863807\pi\) | |||||||
\(224\) | 1.78628 | − | 5.49760i | 0.119351 | − | 0.367324i | ||||
\(225\) | 3.76354 | + | 2.73437i | 0.250902 | + | 0.182291i | ||||
\(226\) | 11.1957 | + | 8.13414i | 0.744725 | + | 0.541075i | ||||
\(227\) | 5.99409 | − | 18.4479i | 0.397841 | − | 1.22443i | −0.528885 | − | 0.848693i | \(-0.677390\pi\) |
0.926726 | − | 0.375737i | \(-0.122610\pi\) | |||||||
\(228\) | 2.18230 | + | 6.71642i | 0.144526 | + | 0.444806i | ||||
\(229\) | 7.98018 | − | 5.79794i | 0.527345 | − | 0.383139i | −0.292019 | − | 0.956413i | \(-0.594327\pi\) |
0.819364 | + | 0.573274i | \(0.194327\pi\) | |||||||
\(230\) | 3.93429 | 0.259419 | ||||||||
\(231\) | −2.19098 | − | 2.48990i | −0.144156 | − | 0.163823i | ||||
\(232\) | −0.924756 | −0.0607132 | ||||||||
\(233\) | −5.76521 | + | 4.18867i | −0.377691 | + | 0.274409i | −0.760393 | − | 0.649463i | \(-0.774994\pi\) |
0.382702 | + | 0.923872i | \(0.374994\pi\) | |||||||
\(234\) | −0.845811 | − | 2.60314i | −0.0552924 | − | 0.170173i | ||||
\(235\) | −1.86074 | + | 5.72676i | −0.121381 | + | 0.373573i | ||||
\(236\) | 3.09529 | + | 2.24886i | 0.201486 | + | 0.146388i | ||||
\(237\) | −3.77286 | − | 2.74114i | −0.245074 | − | 0.178056i | ||||
\(238\) | −3.91300 | + | 12.0430i | −0.253642 | + | 0.780630i | ||||
\(239\) | 6.88781 | + | 21.1985i | 0.445535 | + | 1.37122i | 0.881895 | + | 0.471445i | \(0.156267\pi\) |
−0.436360 | + | 0.899772i | \(0.643733\pi\) | |||||||
\(240\) | −2.37684 | + | 1.72688i | −0.153424 | + | 0.111469i | ||||
\(241\) | 14.8753 | 0.958199 | 0.479100 | − | 0.877761i | \(-0.340963\pi\) | ||||
0.479100 | + | 0.877761i | \(0.340963\pi\) | |||||||
\(242\) | −9.35938 | − | 17.1008i | −0.601644 | − | 1.09928i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 3.11060 | − | 2.25998i | 0.199136 | − | 0.144680i | ||||
\(245\) | 0.182297 | + | 0.561053i | 0.0116465 | + | 0.0358443i | ||||
\(246\) | −4.09797 | + | 12.6123i | −0.261277 | + | 0.804128i | ||||
\(247\) | −7.73503 | − | 5.61983i | −0.492168 | − | 0.357581i | ||||
\(248\) | −8.46512 | − | 6.15027i | −0.537536 | − | 0.390543i | ||||
\(249\) | 1.08456 | − | 3.33793i | 0.0687310 | − | 0.211532i | ||||
\(250\) | −3.11828 | − | 9.59707i | −0.197217 | − | 0.606972i | ||||
\(251\) | 20.9724 | − | 15.2373i | 1.32376 | − | 0.961771i | 0.323888 | − | 0.946096i | \(-0.395010\pi\) |
0.999877 | − | 0.0156760i | \(-0.00499002\pi\) | |||||||
\(252\) | −1.14077 | −0.0718620 | ||||||||
\(253\) | −8.24498 | − | 9.36984i | −0.518357 | − | 0.589077i | ||||
\(254\) | 14.6241 | 0.917600 | ||||||||
\(255\) | 3.41007 | − | 2.47756i | 0.213547 | − | 0.155151i | ||||
\(256\) | 6.23125 | + | 19.1778i | 0.389453 | + | 1.19861i | ||||
\(257\) | 0.269300 | − | 0.828821i | 0.0167985 | − | 0.0517004i | −0.942306 | − | 0.334753i | \(-0.891347\pi\) |
0.959104 | + | 0.283053i | \(0.0913471\pi\) | |||||||
\(258\) | −15.7050 | − | 11.4104i | −0.977751 | − | 0.710378i | ||||
\(259\) | −6.23503 | − | 4.53002i | −0.387426 | − | 0.281482i | ||||
\(260\) | −0.321183 | + | 0.988498i | −0.0199189 | + | 0.0613041i | ||||
\(261\) | 0.187665 | + | 0.577574i | 0.0116162 | + | 0.0357510i | ||||
\(262\) | −17.3717 | + | 12.6213i | −1.07323 | + | 0.779746i | ||||
\(263\) | 26.8873 | 1.65794 | 0.828970 | − | 0.559293i | \(-0.188927\pi\) | ||||
0.828970 | + | 0.559293i | \(0.188927\pi\) | |||||||
\(264\) | 4.92769 | + | 1.10634i | 0.303278 | + | 0.0680902i | ||||
\(265\) | 4.15584 | 0.255291 | ||||||||
\(266\) | −8.87581 | + | 6.44865i | −0.544211 | + | 0.395392i | ||||
\(267\) | −2.51878 | − | 7.75202i | −0.154147 | − | 0.474416i | ||||
\(268\) | −0.772501 | + | 2.37751i | −0.0471880 | + | 0.145230i | ||||
\(269\) | 0.803010 | + | 0.583421i | 0.0489604 | + | 0.0355718i | 0.611996 | − | 0.790861i | \(-0.290367\pi\) |
−0.563036 | + | 0.826432i | \(0.690367\pi\) | |||||||
\(270\) | 0.845811 | + | 0.614518i | 0.0514744 | + | 0.0373984i | ||||
\(271\) | 8.30174 | − | 25.5501i | 0.504295 | − | 1.55206i | −0.297658 | − | 0.954673i | \(-0.596205\pi\) |
0.801953 | − | 0.597388i | \(-0.203795\pi\) | |||||||
\(272\) | −10.9960 | − | 33.8423i | −0.666733 | − | 2.05199i | ||||
\(273\) | 1.24948 | − | 0.907802i | 0.0756221 | − | 0.0549427i | ||||
\(274\) | −30.9337 | −1.86878 | ||||||||
\(275\) | −7.86643 | + | 13.2729i | −0.474364 | + | 0.800387i | ||||
\(276\) | −4.29289 | −0.258402 | ||||||||
\(277\) | 22.3533 | − | 16.2406i | 1.34308 | − | 0.975805i | 0.343756 | − | 0.939059i | \(-0.388301\pi\) |
0.999325 | − | 0.0367459i | \(-0.0116992\pi\) | |||||||
\(278\) | 8.08456 | + | 24.8817i | 0.484880 | + | 1.49231i | ||||
\(279\) | −2.12340 | + | 6.53516i | −0.127125 | + | 0.391250i | ||||
\(280\) | −0.726743 | − | 0.528010i | −0.0434312 | − | 0.0315546i | ||||
\(281\) | −19.2884 | − | 14.0138i | −1.15065 | − | 0.835996i | −0.162083 | − | 0.986777i | \(-0.551821\pi\) |
−0.988567 | + | 0.150781i | \(0.951821\pi\) | |||||||
\(282\) | 5.58993 | − | 17.2040i | 0.332875 | − | 1.02448i | ||||
\(283\) | 2.70308 | + | 8.31922i | 0.160681 | + | 0.494527i | 0.998692 | − | 0.0511272i | \(-0.0162814\pi\) |
−0.838011 | + | 0.545654i | \(0.816281\pi\) | |||||||
\(284\) | 12.8681 | − | 9.34920i | 0.763579 | − | 0.554773i | ||||
\(285\) | 3.65199 | 0.216325 | ||||||||
\(286\) | 8.33471 | − | 3.59745i | 0.492842 | − | 0.212722i | ||||
\(287\) | −7.48287 | −0.441700 | ||||||||
\(288\) | 4.67653 | − | 3.39770i | 0.275567 | − | 0.200211i | ||||
\(289\) | 10.5228 | + | 32.3859i | 0.618990 | + | 1.90505i | ||||
\(290\) | 0.196200 | − | 0.603842i | 0.0115213 | − | 0.0354588i | ||||
\(291\) | −3.88093 | − | 2.81966i | −0.227504 | − | 0.165292i | ||||
\(292\) | 2.39026 | + | 1.73662i | 0.139879 | + | 0.101628i | ||||
\(293\) | −6.06451 | + | 18.6646i | −0.354292 | + | 1.09040i | 0.602126 | + | 0.798401i | \(0.294320\pi\) |
−0.956419 | + | 0.291999i | \(0.905680\pi\) | |||||||
\(294\) | −0.547647 | − | 1.68548i | −0.0319394 | − | 0.0982994i | ||||
\(295\) | 1.60066 | − | 1.16295i | 0.0931942 | − | 0.0677095i | ||||
\(296\) | 11.7356 | 0.682120 | ||||||||
\(297\) | −0.309017 | − | 3.30220i | −0.0179310 | − | 0.191613i | ||||
\(298\) | 22.1985 | 1.28592 | ||||||||
\(299\) | 4.70198 | − | 3.41619i | 0.271923 | − | 0.197563i | ||||
\(300\) | 1.63991 | + | 5.04713i | 0.0946804 | + | 0.291396i | ||||
\(301\) | 3.38489 | − | 10.4176i | 0.195102 | − | 0.600461i | ||||
\(302\) | −0.471093 | − | 0.342269i | −0.0271084 | − | 0.0196954i | ||||
\(303\) | −1.15419 | − | 0.838567i | −0.0663064 | − | 0.0481744i | ||||
\(304\) | 9.52707 | − | 29.3213i | 0.546415 | − | 1.68169i | ||||
\(305\) | −0.614421 | − | 1.89099i | −0.0351817 | − | 0.108278i | ||||
\(306\) | −10.2444 | + | 7.44296i | −0.585631 | + | 0.425486i | ||||
\(307\) | −17.0835 | −0.975009 | −0.487504 | − | 0.873121i | \(-0.662093\pi\) | ||||
−0.487504 | + | 0.873121i | \(0.662093\pi\) | |||||||
\(308\) | −0.352519 | − | 3.76706i | −0.0200866 | − | 0.214648i | ||||
\(309\) | −17.6172 | −1.00221 | ||||||||
\(310\) | 5.81197 | − | 4.22264i | 0.330098 | − | 0.239830i | ||||
\(311\) | −2.23528 | − | 6.87948i | −0.126751 | − | 0.390099i | 0.867465 | − | 0.497498i | \(-0.165748\pi\) |
−0.994216 | + | 0.107399i | \(0.965748\pi\) | |||||||
\(312\) | −0.726743 | + | 2.23668i | −0.0411437 | + | 0.126627i | ||||
\(313\) | −11.1470 | − | 8.09877i | −0.630065 | − | 0.457769i | 0.226357 | − | 0.974044i | \(-0.427318\pi\) |
−0.856423 | + | 0.516275i | \(0.827318\pi\) | |||||||
\(314\) | 3.84374 | + | 2.79264i | 0.216915 | + | 0.157598i | ||||
\(315\) | −0.182297 | + | 0.561053i | −0.0102713 | + | 0.0316117i | ||||
\(316\) | −1.64398 | − | 5.05964i | −0.0924808 | − | 0.284627i | ||||
\(317\) | 5.62775 | − | 4.08880i | 0.316086 | − | 0.229650i | −0.418417 | − | 0.908255i | \(-0.637415\pi\) |
0.734504 | + | 0.678605i | \(0.237415\pi\) | |||||||
\(318\) | −12.4848 | −0.700111 | ||||||||
\(319\) | −1.84927 | + | 0.798188i | −0.103539 | + | 0.0446900i | ||||
\(320\) | −0.167535 | −0.00936550 | ||||||||
\(321\) | −5.82496 | + | 4.23208i | −0.325118 | + | 0.236212i | ||||
\(322\) | −2.06087 | − | 6.34272i | −0.114848 | − | 0.353466i | ||||
\(323\) | −13.6686 | + | 42.0675i | −0.760540 | + | 2.34070i | ||||
\(324\) | −0.922906 | − | 0.670530i | −0.0512725 | − | 0.0372517i | ||||
\(325\) | −5.81258 | − | 4.22309i | −0.322424 | − | 0.234255i | ||||
\(326\) | −0.488319 | + | 1.50289i | −0.0270455 | + | 0.0832375i | ||||
\(327\) | 2.74617 | + | 8.45183i | 0.151863 | + | 0.467387i | ||||
\(328\) | 9.21832 | − | 6.69750i | 0.508997 | − | 0.369808i | ||||
\(329\) | 10.2072 | 0.562739 | ||||||||
\(330\) | −1.76789 | + | 2.98293i | −0.0973191 | + | 0.164205i | ||||
\(331\) | −29.6698 | −1.63080 | −0.815401 | − | 0.578896i | \(-0.803484\pi\) | ||||
−0.815401 | + | 0.578896i | \(0.803484\pi\) | |||||||
\(332\) | 3.23912 | − | 2.35336i | 0.177770 | − | 0.129157i | ||||
\(333\) | −2.38157 | − | 7.32972i | −0.130509 | − | 0.401666i | ||||
\(334\) | 6.33136 | − | 19.4859i | 0.346437 | − | 1.06622i | ||||
\(335\) | 1.04586 | + | 0.759860i | 0.0571413 | + | 0.0415156i | ||||
\(336\) | 4.02905 | + | 2.92728i | 0.219803 | + | 0.159696i | ||||
\(337\) | 6.04791 | − | 18.6135i | 0.329451 | − | 1.01394i | −0.639941 | − | 0.768424i | \(-0.721041\pi\) |
0.969391 | − | 0.245520i | \(-0.0789588\pi\) | |||||||
\(338\) | −5.81310 | − | 17.8909i | −0.316191 | − | 0.973136i | ||||
\(339\) | −6.31731 | + | 4.58979i | −0.343109 | + | 0.249283i | ||||
\(340\) | 4.80846 | 0.260775 | ||||||||
\(341\) | −22.2366 | − | 4.99242i | −1.20418 | − | 0.270355i | ||||
\(342\) | −10.9711 | −0.593249 | ||||||||
\(343\) | 0.809017 | − | 0.587785i | 0.0436828 | − | 0.0317374i | ||||
\(344\) | 5.15431 | + | 15.8633i | 0.277902 | + | 0.855293i | ||||
\(345\) | −0.686010 | + | 2.11132i | −0.0369335 | + | 0.113670i | ||||
\(346\) | −12.8884 | − | 9.36399i | −0.692886 | − | 0.503411i | ||||
\(347\) | 5.25201 | + | 3.81581i | 0.281943 | + | 0.204843i | 0.719764 | − | 0.694218i | \(-0.244250\pi\) |
−0.437822 | + | 0.899062i | \(0.644250\pi\) | |||||||
\(348\) | −0.214084 | + | 0.658882i | −0.0114761 | + | 0.0353198i | ||||
\(349\) | 2.43495 | + | 7.49400i | 0.130340 | + | 0.401144i | 0.994836 | − | 0.101495i | \(-0.0323625\pi\) |
−0.864496 | + | 0.502639i | \(0.832362\pi\) | |||||||
\(350\) | −6.66983 | + | 4.84591i | −0.356517 | + | 0.259025i | ||||
\(351\) | 1.54445 | 0.0824364 | ||||||||
\(352\) | 12.6650 | + | 14.3929i | 0.675047 | + | 0.767144i | ||||
\(353\) | −5.34594 | −0.284536 | −0.142268 | − | 0.989828i | \(-0.545439\pi\) | ||||
−0.142268 | + | 0.989828i | \(0.545439\pi\) | |||||||
\(354\) | −4.80862 | + | 3.49367i | −0.255575 | + | 0.185686i | ||||
\(355\) | −2.54177 | − | 7.82276i | −0.134903 | − | 0.415189i | ||||
\(356\) | 2.87336 | − | 8.84330i | 0.152288 | − | 0.468694i | ||||
\(357\) | −5.78051 | − | 4.19979i | −0.305937 | − | 0.222276i | ||||
\(358\) | 8.81173 | + | 6.40210i | 0.465715 | + | 0.338361i | ||||
\(359\) | −5.51643 | + | 16.9778i | −0.291146 | + | 0.896056i | 0.693343 | + | 0.720608i | \(0.256137\pi\) |
−0.984489 | + | 0.175448i | \(0.943863\pi\) | |||||||
\(360\) | −0.277591 | − | 0.854338i | −0.0146303 | − | 0.0450275i | ||||
\(361\) | −15.6329 | + | 11.3580i | −0.822786 | + | 0.597789i | ||||
\(362\) | 26.5235 | 1.39404 | ||||||||
\(363\) | 10.8090 | − | 2.04087i | 0.567326 | − | 0.107118i | ||||
\(364\) | 1.76186 | 0.0923467 | ||||||||
\(365\) | 1.23607 | − | 0.898056i | 0.0646988 | − | 0.0470064i | ||||
\(366\) | 1.84581 | + | 5.68082i | 0.0964821 | + | 0.296941i | ||||
\(367\) | −9.25065 | + | 28.4706i | −0.482880 | + | 1.48615i | 0.352148 | + | 0.935944i | \(0.385451\pi\) |
−0.835028 | + | 0.550207i | \(0.814549\pi\) | |||||||
\(368\) | 15.1619 | + | 11.0158i | 0.790368 | + | 0.574236i | ||||
\(369\) | −6.05377 | − | 4.39832i | −0.315147 | − | 0.228967i | ||||
\(370\) | −2.48988 | + | 7.66308i | −0.129443 | + | 0.398384i | ||||
\(371\) | −2.17693 | − | 6.69990i | −0.113021 | − | 0.347841i | ||||
\(372\) | −6.34172 | + | 4.60753i | −0.328803 | + | 0.238889i | ||||
\(373\) | 23.4915 | 1.21635 | 0.608173 | − | 0.793805i | \(-0.291903\pi\) | ||||
0.608173 | + | 0.793805i | \(0.291903\pi\) | |||||||
\(374\) | −27.7438 | − | 31.5289i | −1.43460 | − | 1.63032i | ||||
\(375\) | 5.69396 | 0.294035 | ||||||||
\(376\) | −12.5744 | + | 9.13587i | −0.648477 | + | 0.471146i | ||||
\(377\) | −0.289839 | − | 0.892032i | −0.0149275 | − | 0.0459420i | ||||
\(378\) | 0.547647 | − | 1.68548i | 0.0281679 | − | 0.0866919i | ||||
\(379\) | 25.4462 | + | 18.4877i | 1.30708 | + | 0.949650i | 0.999998 | − | 0.00203230i | \(-0.000646901\pi\) |
0.307084 | + | 0.951683i | \(0.400647\pi\) | |||||||
\(380\) | 3.37044 | + | 2.44877i | 0.172900 | + | 0.125619i | ||||
\(381\) | −2.54996 | + | 7.84798i | −0.130639 | + | 0.402064i | ||||
\(382\) | 5.40720 | + | 16.6416i | 0.276656 | + | 0.851460i | ||||
\(383\) | 4.55274 | − | 3.30776i | 0.232634 | − | 0.169018i | −0.465361 | − | 0.885121i | \(-0.654076\pi\) |
0.697995 | + | 0.716102i | \(0.254076\pi\) | |||||||
\(384\) | −11.0577 | −0.564287 | ||||||||
\(385\) | −1.90904 | − | 0.428606i | −0.0972937 | − | 0.0218438i | ||||
\(386\) | −10.9543 | −0.557561 | ||||||||
\(387\) | 8.86175 | − | 6.43844i | 0.450468 | − | 0.327284i | ||||
\(388\) | −1.69107 | − | 5.20456i | −0.0858508 | − | 0.264222i | ||||
\(389\) | 8.06758 | − | 24.8295i | 0.409043 | − | 1.25890i | −0.508430 | − | 0.861104i | \(-0.669774\pi\) |
0.917472 | − | 0.397800i | \(-0.130226\pi\) | |||||||
\(390\) | −1.30631 | − | 0.949089i | −0.0661475 | − | 0.0480590i | ||||
\(391\) | −21.7529 | − | 15.8044i | −1.10009 | − | 0.799263i | ||||
\(392\) | −0.470553 | + | 1.44821i | −0.0237665 | + | 0.0731457i | ||||
\(393\) | −3.74411 | − | 11.5232i | −0.188866 | − | 0.581269i | ||||
\(394\) | 27.3447 | − | 19.8671i | 1.37760 | − | 1.00089i | ||||
\(395\) | −2.75113 | −0.138424 | ||||||||
\(396\) | 1.92903 | − | 3.25482i | 0.0969374 | − | 0.163561i | ||||
\(397\) | 10.3828 | 0.521096 | 0.260548 | − | 0.965461i | \(-0.416097\pi\) | ||||
0.260548 | + | 0.965461i | \(0.416097\pi\) | |||||||
\(398\) | 16.9871 | − | 12.3418i | 0.851485 | − | 0.618640i | ||||
\(399\) | −1.91300 | − | 5.88760i | −0.0957696 | − | 0.294749i | ||||
\(400\) | 7.15923 | − | 22.0338i | 0.357961 | − | 1.10169i | ||||
\(401\) | −2.98427 | − | 2.16820i | −0.149027 | − | 0.108275i | 0.510773 | − | 0.859716i | \(-0.329359\pi\) |
−0.659801 | + | 0.751441i | \(0.729359\pi\) | |||||||
\(402\) | −3.14191 | − | 2.28273i | −0.156704 | − | 0.113852i | ||||
\(403\) | 3.27948 | − | 10.0932i | 0.163363 | − | 0.502778i | ||||
\(404\) | −0.502923 | − | 1.54784i | −0.0250213 | − | 0.0770078i | ||||
\(405\) | −0.477260 | + | 0.346750i | −0.0237152 | + | 0.0172301i | ||||
\(406\) | −1.07627 | −0.0534142 | ||||||||
\(407\) | 23.4682 | − | 10.1294i | 1.16328 | − | 0.502097i | ||||
\(408\) | 10.8801 | 0.538647 | ||||||||
\(409\) | −0.873919 | + | 0.634940i | −0.0432125 | + | 0.0313957i | −0.609182 | − | 0.793031i | \(-0.708502\pi\) |
0.565969 | + | 0.824426i | \(0.308502\pi\) | |||||||
\(410\) | 2.41750 | + | 7.44030i | 0.119392 | + | 0.367450i | ||||
\(411\) | 5.39382 | − | 16.6005i | 0.266057 | − | 0.818841i | ||||
\(412\) | −16.2591 | − | 11.8129i | −0.801026 | − | 0.581979i | ||||
\(413\) | −2.71333 | − | 1.97135i | −0.133514 | − | 0.0970037i | ||||
\(414\) | 2.06087 | − | 6.34272i | 0.101286 | − | 0.311727i | ||||
\(415\) | −0.639809 | − | 1.96913i | −0.0314070 | − | 0.0966607i | ||||
\(416\) | −7.22265 | + | 5.24756i | −0.354120 | + | 0.257283i | ||||
\(417\) | −14.7624 | −0.722915 | ||||||||
\(418\) | −3.39026 | − | 36.2287i | −0.165823 | − | 1.77201i | ||||
\(419\) | 10.0766 | 0.492273 | 0.246136 | − | 0.969235i | \(-0.420839\pi\) | ||||
0.246136 | + | 0.969235i | \(0.420839\pi\) | |||||||
\(420\) | −0.544446 | + | 0.395563i | −0.0265662 | + | 0.0193015i | ||||
\(421\) | 3.70069 | + | 11.3895i | 0.180360 | + | 0.555092i | 0.999838 | − | 0.0180196i | \(-0.00573612\pi\) |
−0.819477 | + | 0.573112i | \(0.805736\pi\) | |||||||
\(422\) | −11.4902 | + | 35.3632i | −0.559335 | + | 1.72145i | ||||
\(423\) | 8.25777 | + | 5.99962i | 0.401507 | + | 0.291712i | ||||
\(424\) | 8.67851 | + | 6.30531i | 0.421466 | + | 0.306213i | ||||
\(425\) | −10.2714 | + | 31.6121i | −0.498236 | + | 1.53341i | ||||
\(426\) | 7.63584 | + | 23.5007i | 0.369958 | + | 1.13861i | ||||
\(427\) | −2.72674 | + | 1.98109i | −0.131956 | + | 0.0958719i | ||||
\(428\) | −8.21363 | −0.397021 | ||||||||
\(429\) | 0.477260 | + | 5.10007i | 0.0230423 | + | 0.246233i | ||||
\(430\) | −11.4519 | −0.552260 | ||||||||
\(431\) | 0.443784 | − | 0.322428i | 0.0213763 | − | 0.0155308i | −0.577046 | − | 0.816712i | \(-0.695795\pi\) |
0.598422 | + | 0.801181i | \(0.295795\pi\) | |||||||
\(432\) | 1.53896 | + | 4.73644i | 0.0740433 | + | 0.227882i | ||||
\(433\) | 6.05298 | − | 18.6292i | 0.290888 | − | 0.895260i | −0.693684 | − | 0.720279i | \(-0.744014\pi\) |
0.984572 | − | 0.174981i | \(-0.0559864\pi\) | |||||||
\(434\) | −9.85203 | − | 7.15792i | −0.472913 | − | 0.343591i | ||||
\(435\) | 0.289839 | + | 0.210580i | 0.0138967 | + | 0.0100966i | ||||
\(436\) | −3.13275 | + | 9.64162i | −0.150032 | + | 0.461750i | ||||
\(437\) | −7.19888 | − | 22.1559i | −0.344369 | − | 1.05986i | ||||
\(438\) | −3.71333 | + | 2.69789i | −0.177430 | + | 0.128910i | ||||
\(439\) | 37.4069 | 1.78533 | 0.892667 | − | 0.450716i | \(-0.148831\pi\) | ||||
0.892667 | + | 0.450716i | \(0.148831\pi\) | |||||||
\(440\) | 2.73541 | − | 1.18067i | 0.130406 | − | 0.0562860i | ||||
\(441\) | 1.00000 | 0.0476190 | ||||||||
\(442\) | 15.8219 | − | 11.4953i | 0.752569 | − | 0.546773i | ||||
\(443\) | 6.62774 | + | 20.3981i | 0.314893 | + | 0.969142i | 0.975798 | + | 0.218672i | \(0.0701726\pi\) |
−0.660905 | + | 0.750469i | \(0.729827\pi\) | |||||||
\(444\) | 2.71683 | − | 8.36156i | 0.128935 | − | 0.396822i | ||||
\(445\) | −3.89012 | − | 2.82634i | −0.184410 | − | 0.133981i | ||||
\(446\) | −4.85844 | − | 3.52986i | −0.230054 | − | 0.167144i | ||||
\(447\) | −3.87068 | + | 11.9127i | −0.183077 | + | 0.563453i | ||||
\(448\) | 0.0877588 | + | 0.270094i | 0.00414621 | + | 0.0127607i | ||||
\(449\) | −5.17693 | + | 3.76126i | −0.244314 | + | 0.177505i | −0.703203 | − | 0.710989i | \(-0.748248\pi\) |
0.458889 | + | 0.888494i | \(0.348248\pi\) | |||||||
\(450\) | −8.24436 | −0.388643 | ||||||||
\(451\) | 12.6534 | − | 21.3499i | 0.595826 | − | 1.00533i | ||||
\(452\) | −8.90787 | −0.418991 | ||||||||
\(453\) | 0.265820 | − | 0.193130i | 0.0124893 | − | 0.00907403i | ||||
\(454\) | 10.6229 | + | 32.6938i | 0.498555 | + | 1.53440i | ||||
\(455\) | 0.281548 | − | 0.866516i | 0.0131992 | − | 0.0406229i | ||||
\(456\) | 7.62632 | + | 5.54085i | 0.357135 | + | 0.259474i | ||||
\(457\) | 29.8875 | + | 21.7145i | 1.39808 | + | 1.01576i | 0.994924 | + | 0.100632i | \(0.0320865\pi\) |
0.403155 | + | 0.915132i | \(0.367914\pi\) | |||||||
\(458\) | −5.40202 | + | 16.6257i | −0.252420 | + | 0.776868i | ||||
\(459\) | −2.20796 | − | 6.79540i | −0.103059 | − | 0.317182i | ||||
\(460\) | −2.04883 | + | 1.48856i | −0.0955270 | + | 0.0694045i | ||||
\(461\) | 7.39825 | 0.344571 | 0.172285 | − | 0.985047i | \(-0.444885\pi\) | ||||
0.172285 | + | 0.985047i | \(0.444885\pi\) | |||||||
\(462\) | 5.73503 | + | 1.28760i | 0.266818 | + | 0.0599044i | ||||
\(463\) | −14.3717 | −0.667910 | −0.333955 | − | 0.942589i | \(-0.608383\pi\) | ||||
−0.333955 | + | 0.942589i | \(0.608383\pi\) | |||||||
\(464\) | 2.44683 | − | 1.77773i | 0.113591 | − | 0.0825290i | ||||
\(465\) | 1.25265 | + | 3.85526i | 0.0580902 | + | 0.178783i | ||||
\(466\) | 3.90264 | − | 12.0111i | 0.180786 | − | 0.556403i | ||||
\(467\) | −29.2562 | − | 21.2559i | −1.35382 | − | 0.983604i | −0.998812 | − | 0.0487394i | \(-0.984480\pi\) |
−0.355004 | − | 0.934865i | \(-0.615520\pi\) | |||||||
\(468\) | 1.42538 | + | 1.03560i | 0.0658881 | + | 0.0478705i | ||||
\(469\) | 0.677173 | − | 2.08412i | 0.0312689 | − | 0.0962359i | ||||
\(470\) | −3.29764 | − | 10.1491i | −0.152109 | − | 0.468143i | ||||
\(471\) | −2.16888 | + | 1.57579i | −0.0999368 | + | 0.0726083i | ||||
\(472\) | 5.10705 | 0.235071 | ||||||||
\(473\) | 23.9994 | + | 27.2737i | 1.10350 | + | 1.25404i | ||||
\(474\) | 8.26479 | 0.379614 | ||||||||
\(475\) | −23.2985 | + | 16.9274i | −1.06901 | + | 0.776680i | ||||
\(476\) | −2.51878 | − | 7.75202i | −0.115448 | − | 0.355313i | ||||
\(477\) | 2.17693 | − | 6.69990i | 0.0996747 | − | 0.306767i | ||||
\(478\) | −31.9577 | − | 23.2186i | −1.46171 | − | 1.06199i | ||||
\(479\) | −12.9647 | − | 9.41941i | −0.592372 | − | 0.430384i | 0.250791 | − | 0.968041i | \(-0.419309\pi\) |
−0.843163 | + | 0.537658i | \(0.819309\pi\) | |||||||
\(480\) | 1.05377 | − | 3.24317i | 0.0480978 | − | 0.148030i | ||||
\(481\) | 3.67821 | + | 11.3204i | 0.167712 | + | 0.516164i | ||||
\(482\) | −21.3275 | + | 15.4953i | −0.971442 | + | 0.705794i | ||||
\(483\) | 3.76314 | 0.171229 | ||||||||
\(484\) | 11.3442 | + | 5.36424i | 0.515644 | + | 0.243829i | ||||
\(485\) | −2.82993 | −0.128501 | ||||||||
\(486\) | 1.43376 | − | 1.04169i | 0.0650366 | − | 0.0472519i | ||||
\(487\) | 0.479160 | + | 1.47470i | 0.0217128 | + | 0.0668251i | 0.961326 | − | 0.275414i | \(-0.0888148\pi\) |
−0.939613 | + | 0.342239i | \(0.888815\pi\) | |||||||
\(488\) | 1.58597 | − | 4.88111i | 0.0717934 | − | 0.220957i | ||||
\(489\) | −0.721375 | − | 0.524109i | −0.0326217 | − | 0.0237010i | ||||
\(490\) | −0.845811 | − | 0.614518i | −0.0382099 | − | 0.0277611i | ||||
\(491\) | −0.0102481 | + | 0.0315404i | −0.000462490 | + | 0.00142340i | −0.951287 | − | 0.308305i | \(-0.900238\pi\) |
0.950825 | + | 0.309729i | \(0.100238\pi\) | |||||||
\(492\) | −2.63785 | − | 8.11847i | −0.118924 | − | 0.366009i | ||||
\(493\) | −3.51049 | + | 2.55052i | −0.158105 | + | 0.114870i | ||||
\(494\) | 16.9443 | 0.762359 | ||||||||
\(495\) | −1.29252 | − | 1.46886i | −0.0580943 | − | 0.0660201i | ||||
\(496\) | 34.2212 | 1.53658 | ||||||||
\(497\) | −11.2801 | + | 8.19549i | −0.505982 | + | 0.367618i | ||||
\(498\) | 1.92208 | + | 5.91555i | 0.0861304 | + | 0.265082i | ||||
\(499\) | −8.35317 | + | 25.7084i | −0.373939 | + | 1.15087i | 0.570252 | + | 0.821470i | \(0.306845\pi\) |
−0.944192 | + | 0.329397i | \(0.893155\pi\) | |||||||
\(500\) | 5.25498 | + | 3.81797i | 0.235010 | + | 0.170745i | ||||
\(501\) | 9.35307 | + | 6.79540i | 0.417864 | + | 0.303596i | ||||
\(502\) | −14.1968 | + | 43.6933i | −0.633635 | + | 1.95013i | ||||
\(503\) | −9.06474 | − | 27.8984i | −0.404177 | − | 1.24393i | −0.921581 | − | 0.388187i | \(-0.873101\pi\) |
0.517404 | − | 0.855741i | \(-0.326899\pi\) | |||||||
\(504\) | −1.23192 | + | 0.895044i | −0.0548742 | + | 0.0398684i | ||||
\(505\) | −0.841621 | −0.0374516 | ||||||||
\(506\) | 21.5817 | + | 4.84540i | 0.959426 | + | 0.215404i | ||||
\(507\) | 10.6147 | 0.471415 | ||||||||
\(508\) | −7.61569 | + | 5.53312i | −0.337891 | + | 0.245493i | ||||
\(509\) | −5.13984 | − | 15.8188i | −0.227819 | − | 0.701156i | −0.997993 | − | 0.0633219i | \(-0.979831\pi\) |
0.770174 | − | 0.637834i | \(-0.220169\pi\) | |||||||
\(510\) | −2.30838 | + | 7.10446i | −0.102217 | + | 0.314591i | ||||
\(511\) | −2.09529 | − | 1.52232i | −0.0926903 | − | 0.0673435i | ||||
\(512\) | −11.0196 | − | 8.00620i | −0.487002 | − | 0.353828i | ||||
\(513\) | 1.91300 | − | 5.88760i | 0.0844609 | − | 0.259944i | ||||
\(514\) | 0.477260 | + | 1.46886i | 0.0210510 | + | 0.0647884i | ||||
\(515\) | −8.40801 | + | 6.10877i | −0.370501 | + | 0.269185i | ||||
\(516\) | 12.4957 | 0.550094 | ||||||||
\(517\) | −17.2602 | + | 29.1228i | −0.759101 | + | 1.28082i | ||||
\(518\) | 13.6584 | 0.600115 | ||||||||
\(519\) | 7.27247 | − | 5.28376i | 0.319226 | − | 0.231931i | ||||
\(520\) | 0.428724 | + | 1.31948i | 0.0188008 | + | 0.0578629i | ||||
\(521\) | 11.0913 | − | 34.1356i | 0.485920 | − | 1.49551i | −0.344723 | − | 0.938704i | \(-0.612027\pi\) |
0.830644 | − | 0.556805i | \(-0.187973\pi\) | |||||||
\(522\) | −0.870718 | − | 0.632614i | −0.0381103 | − | 0.0276888i | ||||
\(523\) | −5.88861 | − | 4.27833i | −0.257491 | − | 0.187078i | 0.451549 | − | 0.892246i | \(-0.350872\pi\) |
−0.709040 | + | 0.705168i | \(0.750872\pi\) | |||||||
\(524\) | 4.27119 | − | 13.1454i | 0.186588 | − | 0.574258i | ||||
\(525\) | −1.43754 | − | 4.42430i | −0.0627395 | − | 0.193092i | ||||
\(526\) | −38.5498 | + | 28.0081i | −1.68085 | + | 1.22121i | ||||
\(527\) | −49.0974 | −2.13872 | ||||||||
\(528\) | −15.1651 | + | 6.54559i | −0.659975 | + | 0.284860i | ||||
\(529\) | −8.83876 | −0.384294 | ||||||||
\(530\) | −5.95848 | + | 4.32909i | −0.258820 | + | 0.188044i | ||||
\(531\) | −1.03640 | − | 3.18971i | −0.0449759 | − | 0.138422i | ||||
\(532\) | 2.18230 | − | 6.71642i | 0.0946146 | − | 0.291194i | ||||
\(533\) | 9.34972 | + | 6.79297i | 0.404981 | + | 0.294236i | ||||
\(534\) | 11.6865 | + | 8.49074i | 0.505724 | + | 0.367430i | ||||
\(535\) | −1.31255 | + | 4.03961i | −0.0567464 | + | 0.174647i | ||||
\(536\) | 1.03116 | + | 3.17358i | 0.0445393 | + | 0.137078i | ||||
\(537\) | −4.97214 | + | 3.61247i | −0.214564 | + | 0.155890i | ||||
\(538\) | −1.75906 | −0.0758386 | ||||||||
\(539\) | 0.309017 | + | 3.30220i | 0.0133103 | + | 0.142236i | ||||
\(540\) | −0.672972 | −0.0289601 | ||||||||
\(541\) | 8.47110 | − | 6.15462i | 0.364201 | − | 0.264608i | −0.390601 | − | 0.920560i | \(-0.627733\pi\) |
0.754802 | + | 0.655952i | \(0.227733\pi\) | |||||||
\(542\) | 14.7125 | + | 45.2805i | 0.631958 | + | 1.94497i | ||||
\(543\) | −4.62481 | + | 14.2337i | −0.198470 | + | 0.610827i | ||||
\(544\) | 33.4143 | + | 24.2769i | 1.43263 | + | 1.04087i | ||||
\(545\) | 4.24130 | + | 3.08149i | 0.181677 | + | 0.131996i | ||||
\(546\) | −0.845811 | + | 2.60314i | −0.0361974 | + | 0.111404i | ||||
\(547\) | 2.52346 | + | 7.76642i | 0.107895 | + | 0.332068i | 0.990399 | − | 0.138238i | \(-0.0441437\pi\) |
−0.882504 | + | 0.470305i | \(0.844144\pi\) | |||||||
\(548\) | 16.1091 | − | 11.7039i | 0.688147 | − | 0.499968i | ||||
\(549\) | −3.37044 | −0.143847 | ||||||||
\(550\) | −2.54765 | − | 27.2245i | −0.108632 | − | 1.16086i | ||||
\(551\) | −3.75953 | −0.160161 | ||||||||
\(552\) | −4.63590 | + | 3.36818i | −0.197317 | + | 0.143359i | ||||
\(553\) | 1.44111 | + | 4.43527i | 0.0612820 | + | 0.188607i | ||||
\(554\) | −15.1316 | + | 46.5703i | −0.642880 | + | 1.97858i | ||||
\(555\) | −3.67821 | − | 2.67237i | −0.156131 | − | 0.113436i | ||||
\(556\) | −13.6243 | − | 9.89860i | −0.577797 | − | 0.419794i | ||||
\(557\) | 3.67005 | − | 11.2953i | 0.155505 | − | 0.478595i | −0.842707 | − | 0.538373i | \(-0.819039\pi\) |
0.998212 | + | 0.0597778i | \(0.0190392\pi\) | |||||||
\(558\) | −3.76314 | − | 11.5818i | −0.159307 | − | 0.490295i | ||||
\(559\) | −13.6865 | + | 9.94382i | −0.578877 | + | 0.420579i | ||||
\(560\) | 2.93794 | 0.124151 | ||||||||
\(561\) | 21.7575 | − | 9.39101i | 0.918601 | − | 0.396489i | ||||
\(562\) | 42.2530 | 1.78233 | ||||||||
\(563\) | −3.91507 | + | 2.84446i | −0.165000 | + | 0.119880i | −0.667221 | − | 0.744860i | \(-0.732516\pi\) |
0.502221 | + | 0.864739i | \(0.332516\pi\) | |||||||
\(564\) | 3.59822 | + | 11.0742i | 0.151512 | + | 0.466307i | ||||
\(565\) | −1.42349 | + | 4.38105i | −0.0598866 | + | 0.184312i | ||||
\(566\) | −12.5416 | − | 9.11200i | −0.527162 | − | 0.383006i | ||||
\(567\) | 0.809017 | + | 0.587785i | 0.0339755 | + | 0.0246847i | ||||
\(568\) | 6.56091 | − | 20.1924i | 0.275290 | − | 0.847255i | ||||
\(569\) | 2.01786 | + | 6.21033i | 0.0845931 | + | 0.260351i | 0.984402 | − | 0.175933i | \(-0.0562943\pi\) |
−0.899809 | + | 0.436284i | \(0.856294\pi\) | |||||||
\(570\) | −5.23607 | + | 3.80423i | −0.219315 | + | 0.159341i | ||||
\(571\) | −33.8691 | −1.41738 | −0.708689 | − | 0.705521i | \(-0.750713\pi\) | ||||
−0.708689 | + | 0.705521i | \(0.750713\pi\) | |||||||
\(572\) | −2.97928 | + | 5.02690i | −0.124570 | + | 0.210185i | ||||
\(573\) | −9.87351 | −0.412472 | ||||||||
\(574\) | 10.7286 | − | 7.79481i | 0.447804 | − | 0.325349i | ||||
\(575\) | −5.40968 | − | 16.6493i | −0.225599 | − | 0.694323i | ||||
\(576\) | −0.0877588 | + | 0.270094i | −0.00365662 | + | 0.0112539i | ||||
\(577\) | 30.2256 | + | 21.9602i | 1.25831 | + | 0.914216i | 0.998673 | − | 0.0514908i | \(-0.0163973\pi\) |
0.259636 | + | 0.965706i | \(0.416397\pi\) | |||||||
\(578\) | −48.8232 | − | 35.4721i | −2.03078 | − | 1.47544i | ||||
\(579\) | 1.91007 | − | 5.87860i | 0.0793800 | − | 0.244306i | ||||
\(580\) | 0.126293 | + | 0.388691i | 0.00524405 | + | 0.0161395i | ||||
\(581\) | −2.83941 | + | 2.06295i | −0.117799 | + | 0.0855856i | ||||
\(582\) | 8.50152 | 0.352399 | ||||||||
\(583\) | 22.7971 | + | 5.11827i | 0.944159 | + | 0.211977i | ||||
\(584\) | 3.94378 | 0.163195 | ||||||||
\(585\) | 0.737102 | − | 0.535536i | 0.0304754 | − | 0.0221417i | ||||
\(586\) | −10.7477 | − | 33.0779i | −0.443982 | − | 1.36644i | ||||
\(587\) | −0.642674 | + | 1.97795i | −0.0265260 | + | 0.0816386i | −0.963443 | − | 0.267913i | \(-0.913666\pi\) |
0.936917 | + | 0.349552i | \(0.113666\pi\) | |||||||
\(588\) | 0.922906 | + | 0.670530i | 0.0380600 | + | 0.0276522i | ||||
\(589\) | −34.4143 | − | 25.0035i | −1.41802 | − | 1.03025i | ||||
\(590\) | −1.08353 | + | 3.33478i | −0.0446084 | + | 0.137291i | ||||
\(591\) | 5.89357 | + | 18.1386i | 0.242429 | + | 0.746121i | ||||
\(592\) | −31.0516 | + | 22.5603i | −1.27621 | + | 0.927223i | ||||
\(593\) | 6.54983 | 0.268969 | 0.134485 | − | 0.990916i | \(-0.457062\pi\) | ||||
0.134485 | + | 0.990916i | \(0.457062\pi\) | |||||||
\(594\) | 3.88291 | + | 4.41265i | 0.159318 | + | 0.181053i | ||||
\(595\) | −4.21508 | −0.172802 | ||||||||
\(596\) | −11.5601 | + | 8.39892i | −0.473521 | + | 0.344033i | ||||
\(597\) | 3.66121 | + | 11.2681i | 0.149843 | + | 0.461171i | ||||
\(598\) | −3.18291 | + | 9.79598i | −0.130159 | + | 0.400587i | ||||
\(599\) | 4.03042 | + | 2.92827i | 0.164679 | + | 0.119646i | 0.667072 | − | 0.744993i | \(-0.267547\pi\) |
−0.502394 | + | 0.864639i | \(0.667547\pi\) | |||||||
\(600\) | 5.73089 | + | 4.16373i | 0.233963 | + | 0.169984i | ||||
\(601\) | −10.0342 | + | 30.8821i | −0.409303 | + | 1.25971i | 0.507945 | + | 0.861389i | \(0.330405\pi\) |
−0.917248 | + | 0.398316i | \(0.869595\pi\) | |||||||
\(602\) | 5.99878 | + | 18.4623i | 0.244492 | + | 0.752469i | ||||
\(603\) | 1.77286 | − | 1.28806i | 0.0721965 | − | 0.0524538i | ||||
\(604\) | 0.374827 | 0.0152515 | ||||||||
\(605\) | 4.45104 | − | 4.72205i | 0.180961 | − | 0.191979i | ||||
\(606\) | 2.52835 | 0.102707 | ||||||||
\(607\) | −2.53536 | + | 1.84205i | −0.102907 | + | 0.0747665i | −0.638049 | − | 0.769996i | \(-0.720258\pi\) |
0.535142 | + | 0.844762i | \(0.320258\pi\) | |||||||
\(608\) | 11.0581 | + | 34.0333i | 0.448465 | + | 1.38023i | ||||
\(609\) | 0.187665 | − | 0.577574i | 0.00760458 | − | 0.0234045i | ||||
\(610\) | 2.85076 | + | 2.07119i | 0.115424 | + | 0.0838602i | ||||
\(611\) | −12.7537 | − | 9.26609i | −0.515959 | − | 0.374866i | ||||
\(612\) | 2.51878 | − | 7.75202i | 0.101816 | − | 0.313357i | ||||
\(613\) | 14.4769 | + | 44.5555i | 0.584718 | + | 1.79958i | 0.600398 | + | 0.799701i | \(0.295009\pi\) |
−0.0156800 | + | 0.999877i | \(0.504991\pi\) | |||||||
\(614\) | 24.4937 | − | 17.7957i | 0.988484 | − | 0.718175i | ||||
\(615\) | −4.41434 | −0.178003 | ||||||||
\(616\) | −3.33630 | − | 3.79147i | −0.134423 | − | 0.152763i | ||||
\(617\) | 26.5924 | 1.07057 | 0.535286 | − | 0.844671i | \(-0.320204\pi\) | ||||
0.535286 | + | 0.844671i | \(0.320204\pi\) | |||||||
\(618\) | 25.2589 | − | 18.3516i | 1.01606 | − | 0.738211i | ||||
\(619\) | −10.1903 | − | 31.3625i | −0.409582 | − | 1.26056i | −0.917008 | − | 0.398869i | \(-0.869403\pi\) |
0.507426 | − | 0.861695i | \(-0.330597\pi\) | |||||||
\(620\) | −1.42899 | + | 4.39798i | −0.0573896 | + | 0.176627i | ||||
\(621\) | 3.04445 | + | 2.21192i | 0.122169 | + | 0.0887613i | ||||
\(622\) | 10.3711 | + | 7.53505i | 0.415844 | + | 0.302128i | ||||
\(623\) | −2.51878 | + | 7.75202i | −0.100913 | + | 0.310578i | ||||
\(624\) | −2.37684 | − | 7.31517i | −0.0951498 | − | 0.292841i | ||||
\(625\) | −16.1002 | + | 11.6975i | −0.644007 | + | 0.467899i | ||||
\(626\) | 24.4185 | 0.975959 | ||||||||
\(627\) | 20.0332 | + | 4.49773i | 0.800047 | + | 0.179622i | ||||
\(628\) | −3.05828 | −0.122039 | ||||||||
\(629\) | 44.5500 | − | 32.3675i | 1.77632 | − | 1.29058i | ||||
\(630\) | −0.323071 | − | 0.994311i | −0.0128715 | − | 0.0396143i | ||||
\(631\) | 3.45237 | − | 10.6253i | 0.137437 | − | 0.422987i | −0.858524 | − | 0.512773i | \(-0.828618\pi\) |
0.995961 | + | 0.0897862i | \(0.0286184\pi\) | |||||||
\(632\) | −5.74509 | − | 4.17405i | −0.228527 | − | 0.166035i | ||||
\(633\) | −16.9740 | − | 12.3324i | −0.674657 | − | 0.490167i | ||||
\(634\) | −3.80959 | + | 11.7247i | −0.151298 | + | 0.465648i | ||||
\(635\) | 1.50429 | + | 4.62973i | 0.0596959 | + | 0.183725i | ||||
\(636\) | 6.50158 | − | 4.72368i | 0.257805 | − | 0.187306i | ||||
\(637\) | −1.54445 | −0.0611932 | ||||||||
\(638\) | 1.81995 | − | 3.07077i | 0.0720525 | − | 0.121573i | ||||
\(639\) | −13.9430 | −0.551576 | ||||||||
\(640\) | −5.27741 | + | 3.83426i | −0.208608 | + | 0.151563i | ||||
\(641\) | −12.9526 | − | 39.8639i | −0.511595 | − | 1.57453i | −0.789393 | − | 0.613888i | \(-0.789605\pi\) |
0.277798 | − | 0.960640i | \(-0.410395\pi\) | |||||||
\(642\) | 3.94308 | − | 12.1356i | 0.155621 | − | 0.478952i | ||||
\(643\) | −23.5321 | − | 17.0971i | −0.928017 | − | 0.674244i | 0.0174898 | − | 0.999847i | \(-0.494433\pi\) |
−0.945506 | + | 0.325604i | \(0.894433\pi\) | |||||||
\(644\) | 3.47302 | + | 2.52330i | 0.136856 | + | 0.0994320i | ||||
\(645\) | 1.99683 | − | 6.14562i | 0.0786252 | − | 0.241984i | ||||
\(646\) | −24.2238 | − | 74.5530i | −0.953071 | − | 2.93325i | ||||
\(647\) | −1.53554 | + | 1.11564i | −0.0603685 | + | 0.0438603i | −0.617560 | − | 0.786524i | \(-0.711879\pi\) |
0.557192 | + | 0.830384i | \(0.311879\pi\) | |||||||
\(648\) | −1.52274 | −0.0598189 | ||||||||
\(649\) | 10.2128 | − | 4.40807i | 0.400887 | − | 0.173032i | ||||
\(650\) | 12.7330 | 0.499428 | ||||||||
\(651\) | 5.55914 | − | 4.03895i | 0.217880 | − | 0.158299i | ||||
\(652\) | −0.314330 | − | 0.967407i | −0.0123101 | − | 0.0378866i | ||||
\(653\) | 6.25817 | − | 19.2607i | 0.244901 | − | 0.753728i | −0.750752 | − | 0.660585i | \(-0.770308\pi\) |
0.995653 | − | 0.0931434i | \(-0.0296915\pi\) | |||||||
\(654\) | −12.7415 | − | 9.25724i | −0.498232 | − | 0.361987i | ||||
\(655\) | −5.78258 | − | 4.20129i | −0.225944 | − | 0.164158i | ||||
\(656\) | −11.5158 | + | 35.4421i | −0.449618 | + | 1.38378i | ||||
\(657\) | −0.800331 | − | 2.46317i | −0.0312239 | − | 0.0960973i | ||||
\(658\) | −14.6346 | + | 10.6327i | −0.570517 | + | 0.414505i | ||||
\(659\) | −11.5620 | −0.450392 | −0.225196 | − | 0.974314i | \(-0.572302\pi\) | ||||
−0.225196 | + | 0.974314i | \(0.572302\pi\) | |||||||
\(660\) | −0.207960 | − | 2.22229i | −0.00809482 | − | 0.0865024i | ||||
\(661\) | −32.6894 | −1.27147 | −0.635735 | − | 0.771907i | \(-0.719303\pi\) | ||||
−0.635735 | + | 0.771907i | \(0.719303\pi\) | |||||||
\(662\) | 42.5394 | − | 30.9067i | 1.65334 | − | 1.20122i | ||||
\(663\) | 3.41007 | + | 10.4951i | 0.132436 | + | 0.407597i | ||||
\(664\) | 1.65150 | − | 5.08279i | 0.0640906 | − | 0.197251i | ||||
\(665\) | −2.95452 | − | 2.14658i | −0.114571 | − | 0.0832410i | ||||
\(666\) | 11.0499 | + | 8.02820i | 0.428174 | + | 0.311086i | ||||
\(667\) | 0.706211 | − | 2.17349i | 0.0273446 | − | 0.0841580i | ||||
\(668\) | 4.07548 | + | 12.5430i | 0.157685 | + | 0.485304i | ||||
\(669\) | 2.74144 | − | 1.99177i | 0.105990 | − | 0.0770063i | ||||
\(670\) | −2.29104 | −0.0885107 | ||||||||
\(671\) | −1.04152 | − | 11.1299i | −0.0402076 | − | 0.429663i | ||||
\(672\) | −5.78051 | −0.222988 | ||||||||
\(673\) | 16.2814 | − | 11.8291i | 0.627602 | − | 0.455979i | −0.227967 | − | 0.973669i | \(-0.573208\pi\) |
0.855569 | + | 0.517690i | \(0.173208\pi\) | |||||||
\(674\) | 10.7182 | + | 32.9874i | 0.412851 | + | 1.27063i | ||||
\(675\) | 1.43754 | − | 4.42430i | 0.0553311 | − | 0.170292i | ||||
\(676\) | 9.79635 | + | 7.11747i | 0.376783 | + | 0.273749i | ||||
\(677\) | −19.0722 | − | 13.8568i | −0.733006 | − | 0.532560i | 0.157507 | − | 0.987518i | \(-0.449654\pi\) |
−0.890513 | + | 0.454958i | \(0.849654\pi\) | |||||||
\(678\) | 4.27637 | − | 13.1613i | 0.164233 | − | 0.505457i | ||||
\(679\) | 1.48238 | + | 4.56231i | 0.0568887 | + | 0.175085i | ||||
\(680\) | 5.19266 | − | 3.77269i | 0.199129 | − | 0.144676i | ||||
\(681\) | −19.3973 | −0.743305 | ||||||||
\(682\) | 37.0824 | − | 16.0056i | 1.41996 | − | 0.612886i | ||||
\(683\) | 11.5812 | 0.443143 | 0.221572 | − | 0.975144i | \(-0.428881\pi\) | ||||
0.221572 | + | 0.975144i | \(0.428881\pi\) | |||||||
\(684\) | 5.71333 | − | 4.15098i | 0.218455 | − | 0.158717i | ||||
\(685\) | −3.18195 | − | 9.79304i | −0.121576 | − | 0.374173i | ||||
\(686\) | −0.547647 | + | 1.68548i | −0.0209093 | + | 0.0643521i | ||||
\(687\) | −7.98018 | − | 5.79794i | −0.304463 | − | 0.221205i | ||||
\(688\) | −44.1332 | − | 32.0646i | −1.68256 | − | 1.22245i | ||||
\(689\) | −3.36215 | + | 10.3476i | −0.128088 | + | 0.394213i | ||||
\(690\) | −1.21576 | − | 3.74173i | −0.0462833 | − | 0.142445i | ||||
\(691\) | −35.4482 | + | 25.7546i | −1.34851 | + | 0.979752i | −0.349428 | + | 0.936963i | \(0.613624\pi\) |
−0.999084 | + | 0.0427885i | \(0.986376\pi\) | |||||||
\(692\) | 10.2547 | 0.389826 | ||||||||
\(693\) | −1.69098 | + | 2.85317i | −0.0642351 | + | 0.108383i | ||||
\(694\) | −11.5050 | −0.436723 | ||||||||
\(695\) | −7.04548 | + | 5.11884i | −0.267250 | + | 0.194169i | ||||
\(696\) | 0.285765 | + | 0.879496i | 0.0108319 | + | 0.0333372i | ||||
\(697\) | 16.5219 | − | 50.8491i | 0.625811 | − | 1.92605i | ||||
\(698\) | −11.2975 | − | 8.20813i | −0.427617 | − | 0.310682i | ||||
\(699\) | 5.76521 | + | 4.18867i | 0.218060 | + | 0.158430i | ||||
\(700\) | 1.63991 | − | 5.04713i | 0.0619828 | − | 0.190764i | ||||
\(701\) | −7.05070 | − | 21.6998i | −0.266301 | − | 0.819591i | −0.991391 | − | 0.130936i | \(-0.958202\pi\) |
0.725090 | − | 0.688655i | \(-0.241798\pi\) | |||||||
\(702\) | −2.21436 | + | 1.60883i | −0.0835757 | + | 0.0607213i | ||||
\(703\) | 47.7104 | 1.79943 | ||||||||
\(704\) | −0.919022 | − | 0.206333i | −0.0346370 | − | 0.00777648i | ||||
\(705\) | 6.02147 | 0.226782 | ||||||||
\(706\) | 7.66479 | − | 5.56880i | 0.288468 | − | 0.209584i | ||||
\(707\) | 0.440861 | + | 1.35683i | 0.0165803 | + | 0.0510289i | ||||
\(708\) | 1.18230 | − | 3.63874i | 0.0444334 | − | 0.136752i | ||||
\(709\) | −32.3401 | − | 23.4965i | −1.21456 | − | 0.882428i | −0.218922 | − | 0.975742i | \(-0.570254\pi\) |
−0.995637 | + | 0.0933141i | \(0.970254\pi\) | |||||||
\(710\) | 11.7931 | + | 8.56822i | 0.442589 | + | 0.321559i | ||||
\(711\) | −1.44111 | + | 4.43527i | −0.0540457 | + | 0.166335i | ||||
\(712\) | −3.83545 | − | 11.8043i | −0.143740 | − | 0.442385i | ||||
\(713\) | 20.9198 | − | 15.1991i | 0.783454 | − | 0.569212i | ||||
\(714\) | 12.6627 | 0.473891 | ||||||||
\(715\) | 1.99622 | + | 2.26857i | 0.0746545 | + | 0.0848396i | ||||
\(716\) | −7.01108 | −0.262016 | ||||||||
\(717\) | 18.0325 | − | 13.1014i | 0.673437 | − | 0.489281i | ||||
\(718\) | −9.77635 | − | 30.0885i | −0.364850 | − | 1.12289i | ||||
\(719\) | −8.10242 | + | 24.9367i | −0.302169 | + | 0.929981i | 0.678549 | + | 0.734555i | \(0.262609\pi\) |
−0.980718 | + | 0.195426i | \(0.937391\pi\) | |||||||
\(720\) | 2.37684 | + | 1.72688i | 0.0885797 | + | 0.0643569i | ||||
\(721\) | 14.2526 | + | 10.3552i | 0.530796 | + | 0.385646i | ||||
\(722\) | 10.5824 | − | 32.5692i | 0.393836 | − | 1.21210i | ||||
\(723\) | −4.59671 | − | 14.1472i | −0.170953 | − | 0.526140i | ||||
\(724\) | −13.8124 | + | 10.0353i | −0.513334 | + | 0.372959i | ||||
\(725\) | −2.82514 | −0.104923 | ||||||||
\(726\) | −13.3716 | + | 14.1857i | −0.496266 | + | 0.526482i | ||||
\(727\) | −22.2366 | −0.824708 | −0.412354 | − | 0.911024i | \(-0.635293\pi\) | ||||
−0.412354 | + | 0.911024i | \(0.635293\pi\) | |||||||
\(728\) | 1.90264 | − | 1.38235i | 0.0705164 | − | 0.0512332i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −0.836730 | + | 2.57519i | −0.0309688 | + | 0.0953121i | ||||
\(731\) | 63.3182 | + | 46.0034i | 2.34191 | + | 1.70150i | ||||
\(732\) | −3.11060 | − | 2.25998i | −0.114971 | − | 0.0835313i | ||||
\(733\) | −6.52903 | + | 20.0943i | −0.241155 | + | 0.742200i | 0.755090 | + | 0.655621i | \(0.227593\pi\) |
−0.996245 | + | 0.0865782i | \(0.972407\pi\) | |||||||
\(734\) | −16.3942 | − | 50.4562i | −0.605121 | − | 1.86237i | ||||
\(735\) | 0.477260 | − | 0.346750i | 0.0176040 | − | 0.0127901i | ||||
\(736\) | −21.7529 | −0.801822 | ||||||||
\(737\) | 4.80127 | + | 5.45631i | 0.176857 | + | 0.200986i | ||||
\(738\) | 13.2613 | 0.488156 | ||||||||
\(739\) | −30.3410 | + | 22.0440i | −1.11611 | + | 0.810903i | −0.983615 | − | 0.180280i | \(-0.942299\pi\) |
−0.132497 | + | 0.991183i | \(0.542299\pi\) | |||||||
\(740\) | −1.60273 | − | 4.93270i | −0.0589175 | − | 0.181330i | ||||
\(741\) | −2.95452 | + | 9.09308i | −0.108537 | + | 0.334043i | ||||
\(742\) | 10.1004 | + | 7.33836i | 0.370797 | + | 0.269400i | ||||
\(743\) | 29.2430 | + | 21.2463i | 1.07282 | + | 0.779452i | 0.976418 | − | 0.215891i | \(-0.0692654\pi\) |
0.0964055 | + | 0.995342i | \(0.469265\pi\) | |||||||
\(744\) | −3.23339 | + | 9.95135i | −0.118542 | + | 0.364834i | ||||
\(745\) | 2.28342 | + | 7.02763i | 0.0836579 | + | 0.257473i | ||||
\(746\) | −33.6812 | + | 24.4708i | −1.23316 | + | 0.895940i | ||||
\(747\) | −3.50970 | −0.128413 | ||||||||
\(748\) | 26.3770 | + | 5.92201i | 0.964440 | + | 0.216530i | ||||
\(749\) | 7.20005 | 0.263084 | ||||||||
\(750\) | −8.16376 | + | 5.93132i | −0.298098 | + | 0.216581i | ||||
\(751\) | −13.4587 | − | 41.4216i | −0.491115 | − | 1.51150i | −0.822925 | − | 0.568150i | \(-0.807659\pi\) |
0.331810 | − | 0.943346i | \(-0.392341\pi\) | |||||||
\(752\) | 15.7084 | − | 48.3456i | 0.572828 | − | 1.76298i | ||||
\(753\) | −20.9724 | − | 15.2373i | −0.764276 | − | 0.555279i | ||||
\(754\) | 1.34478 | + | 0.977038i | 0.0489739 | + | 0.0355816i | ||||
\(755\) | 0.0598978 | − | 0.184346i | 0.00217990 | − | 0.00670905i | ||||
\(756\) | 0.352519 | + | 1.08494i | 0.0128210 | + | 0.0394589i | ||||
\(757\) | 35.9561 | − | 26.1236i | 1.30685 | − | 0.949479i | 0.306848 | − | 0.951758i | \(-0.400726\pi\) |
0.999997 | + | 0.00227928i | \(0.000725518\pi\) | |||||||
\(758\) | −55.7421 | −2.02464 | ||||||||
\(759\) | −6.36341 | + | 10.7369i | −0.230977 | + | 0.389724i | ||||
\(760\) | 5.56103 | 0.201720 | ||||||||
\(761\) | 12.9130 | − | 9.38184i | 0.468096 | − | 0.340091i | −0.328603 | − | 0.944468i | \(-0.606578\pi\) |
0.796699 | + | 0.604377i | \(0.206578\pi\) | |||||||
\(762\) | −4.51911 | − | 13.9084i | −0.163710 | − | 0.503847i | ||||
\(763\) | 2.74617 | − | 8.45183i | 0.0994179 | − | 0.305977i | ||||
\(764\) | −9.11231 | − | 6.62048i | −0.329672 | − | 0.239521i | ||||
\(765\) | −3.41007 | − | 2.47756i | −0.123291 | − | 0.0895765i | ||||
\(766\) | −3.08188 | + | 9.48505i | −0.111353 | + | 0.342709i | ||||
\(767\) | 1.60066 | + | 4.92633i | 0.0577966 | + | 0.177880i | ||||
\(768\) | 16.3136 | − | 11.8525i | 0.588667 | − | 0.427692i | ||||
\(769\) | 5.19899 | 0.187480 | 0.0937402 | − | 0.995597i | \(-0.470118\pi\) | ||||
0.0937402 | + | 0.995597i | \(0.470118\pi\) | |||||||
\(770\) | 3.18358 | − | 1.37410i | 0.114728 | − | 0.0495192i | ||||
\(771\) | −0.871474 | −0.0313854 | ||||||||
\(772\) | 5.70460 | − | 4.14463i | 0.205313 | − | 0.149169i | ||||
\(773\) | −3.75809 | − | 11.5662i | −0.135169 | − | 0.416007i | 0.860447 | − | 0.509539i | \(-0.170184\pi\) |
−0.995616 | + | 0.0935321i | \(0.970184\pi\) | |||||||
\(774\) | −5.99878 | + | 18.4623i | −0.215622 | + | 0.663615i | ||||
\(775\) | −25.8610 | − | 18.7891i | −0.928956 | − | 0.674926i | ||||
\(776\) | −5.90965 | − | 4.29361i | −0.212144 | − | 0.154132i | ||||
\(777\) | −2.38157 | + | 7.32972i | −0.0854384 | + | 0.262952i | ||||
\(778\) | 14.2976 | + | 44.0033i | 0.512592 | + | 1.57760i | ||||
\(779\) | 37.4764 | − | 27.2282i | 1.34273 | − | 0.975551i | ||||
\(780\) | 1.03937 | 0.0372154 | ||||||||
\(781\) | −4.30862 | − | 46.0425i | −0.154175 | − | 1.64753i | ||||
\(782\) | 47.6516 | 1.70402 | ||||||||
\(783\) | 0.491314 | − | 0.356961i | 0.0175581 | − | 0.0127567i | ||||
\(784\) | −1.53896 | − | 4.73644i | −0.0549629 | − | 0.169158i | ||||
\(785\) | −0.488718 | + | 1.50412i | −0.0174431 | + | 0.0536843i | ||||
\(786\) | 17.3717 | + | 12.6213i | 0.619629 | + | 0.450187i | ||||
\(787\) | 32.0718 | + | 23.3015i | 1.14324 | + | 0.830610i | 0.987567 | − | 0.157199i | \(-0.0502463\pi\) |
0.155670 | + | 0.987809i | \(0.450246\pi\) | |||||||
\(788\) | −6.72324 | + | 20.6920i | −0.239505 | + | 0.737122i | ||||
\(789\) | −8.30862 | − | 25.5713i | −0.295795 | − | 0.910363i | ||||
\(790\) | 3.94445 | − | 2.86581i | 0.140337 | − | 0.101961i | ||||
\(791\) | 7.80862 | 0.277643 | ||||||||
\(792\) | −0.470553 | − | 5.02839i | −0.0167204 | − | 0.178676i | ||||
\(793\) | 5.20546 | 0.184851 | ||||||||
\(794\) | −14.8864 | + | 10.8156i | −0.528297 | + | 0.383830i | ||||
\(795\) | −1.28423 | − | 3.95244i | −0.0455468 | − | 0.140179i | ||||
\(796\) | −4.17662 | + | 12.8543i | −0.148036 | + | 0.455609i | ||||
\(797\) | 28.4060 | + | 20.6382i | 1.00619 | + | 0.731043i | 0.963407 | − | 0.268042i | \(-0.0863765\pi\) |
0.0427865 | + | 0.999084i | \(0.486376\pi\) | |||||||
\(798\) | 8.87581 | + | 6.44865i | 0.314200 | + | 0.228280i | ||||
\(799\) | −22.5370 | + | 69.3618i | −0.797302 | + | 2.45384i | ||||
\(800\) | 8.30974 | + | 25.5747i | 0.293794 | + | 0.904204i | ||||
\(801\) | −6.59426 | + | 4.79101i | −0.232997 | + | 0.169282i | ||||
\(802\) | 6.53731 | 0.230840 | ||||||||
\(803\) | 7.88654 | − | 3.40401i | 0.278310 | − | 0.120125i | ||||
\(804\) | 2.49987 | 0.0881635 | ||||||||
\(805\) | 1.79600 | − | 1.30487i | 0.0633006 | − | 0.0459906i | ||||
\(806\) | 5.81197 | + | 17.8874i | 0.204718 | + | 0.630057i | ||||
\(807\) | 0.306722 | − | 0.943994i | 0.0107971 | − | 0.0332302i | ||||
\(808\) | −1.75753 | − | 1.27692i | −0.0618297 | − | 0.0449219i | ||||
\(809\) | 33.8066 | + | 24.5619i | 1.18858 | + | 0.863552i | 0.993113 | − | 0.117159i | \(-0.0373787\pi\) |
0.195464 | + | 0.980711i | \(0.437379\pi\) | |||||||
\(810\) | 0.323071 | − | 0.994311i | 0.0113516 | − | 0.0349365i | ||||
\(811\) | −3.05889 | − | 9.41431i | −0.107412 | − | 0.330581i | 0.882877 | − | 0.469605i | \(-0.155604\pi\) |
−0.990289 | + | 0.139024i | \(0.955604\pi\) | |||||||
\(812\) | 0.560478 | − | 0.407211i | 0.0196689 | − | 0.0142903i | ||||
\(813\) | −26.8650 | −0.942197 | ||||||||
\(814\) | −23.0961 | + | 38.9697i | −0.809518 | + | 1.36589i | ||||
\(815\) | −0.526018 | −0.0184256 | ||||||||
\(816\) | −28.7880 | + | 20.9157i | −1.00778 | + | 0.732197i | ||||
\(817\) | 20.9545 | + | 64.4912i | 0.733103 | + | 2.25626i | ||||
\(818\) | 0.591581 | − | 1.82070i | 0.0206842 | − | 0.0636593i | ||||
\(819\) | −1.24948 | − | 0.907802i | −0.0436605 | − | 0.0317212i | ||||
\(820\) | −4.07402 | − | 2.95995i | −0.142271 | − | 0.103366i | ||||
\(821\) | 5.00410 | − | 15.4010i | 0.174644 | − | 0.537500i | −0.824973 | − | 0.565173i | \(-0.808810\pi\) |
0.999617 | + | 0.0276726i | \(0.00880958\pi\) | |||||||
\(822\) | 9.55905 | + | 29.4197i | 0.333410 | + | 1.02613i | ||||
\(823\) | 3.12800 | − | 2.27262i | 0.109035 | − | 0.0792187i | −0.531932 | − | 0.846787i | \(-0.678534\pi\) |
0.640967 | + | 0.767569i | \(0.278534\pi\) | |||||||
\(824\) | −26.8265 | −0.934545 | ||||||||
\(825\) | 15.0541 | + | 3.37987i | 0.524118 | + | 0.117672i | ||||
\(826\) | 5.94378 | 0.206811 | ||||||||
\(827\) | 37.8765 | − | 27.5189i | 1.31709 | − | 0.956925i | 0.317131 | − | 0.948382i | \(-0.397280\pi\) |
0.999964 | − | 0.00854365i | \(-0.00271956\pi\) | |||||||
\(828\) | 1.32658 | + | 4.08279i | 0.0461017 | + | 0.141887i | ||||
\(829\) | −12.8427 | + | 39.5258i | −0.446046 | + | 1.37279i | 0.435286 | + | 0.900292i | \(0.356647\pi\) |
−0.881332 | + | 0.472497i | \(0.843353\pi\) | |||||||
\(830\) | 2.96855 | + | 2.15677i | 0.103040 | + | 0.0748627i | ||||
\(831\) | −22.3533 | − | 16.2406i | −0.775428 | − | 0.563381i | ||||
\(832\) | 0.135539 | − | 0.417145i | 0.00469896 | − | 0.0144619i | ||||
\(833\) | 2.20796 | + | 6.79540i | 0.0765013 | + | 0.235447i | ||||
\(834\) | 21.1656 | − | 15.3777i | 0.732906 | − | 0.532488i | ||||
\(835\) | 6.82015 | 0.236021 | ||||||||
\(836\) | 15.4729 | + | 17.5838i | 0.535140 | + | 0.608149i | ||||
\(837\) | 6.87147 | 0.237513 | ||||||||
\(838\) | −14.4474 | + | 10.4966i | −0.499076 | + | 0.362600i | ||||
\(839\) | 1.58872 | + | 4.88957i | 0.0548486 | + | 0.168807i | 0.974728 | − | 0.223394i | \(-0.0717138\pi\) |
−0.919880 | + | 0.392201i | \(0.871714\pi\) | |||||||
\(840\) | −0.277591 | + | 0.854338i | −0.00957780 | + | 0.0294774i | ||||
\(841\) | 23.1631 | + | 16.8290i | 0.798728 | + | 0.580310i | ||||
\(842\) | −17.1702 | − | 12.4749i | −0.591725 | − | 0.429913i | ||||
\(843\) | −7.36752 | + | 22.6749i | −0.253751 | + | 0.780965i | ||||
\(844\) | −7.39621 | − | 22.7632i | −0.254588 | − | 0.783541i | ||||
\(845\) | 5.06597 | − | 3.68064i | 0.174275 | − | 0.126618i | ||||
\(846\) | −18.0894 | −0.621926 | ||||||||
\(847\) | −9.94427 | − | 4.70228i | −0.341689 | − | 0.161572i | ||||
\(848\) | −35.0838 | −1.20478 | ||||||||
\(849\) | 7.07676 | − | 5.14156i | 0.242874 | − | 0.176458i | ||||
\(850\) | −18.2032 | − | 56.0237i | −0.624365 | − | 1.92160i | ||||
\(851\) | −8.96219 | + | 27.5828i | −0.307220 | + | 0.945526i | ||||
\(852\) | −12.8681 | − | 9.34920i | −0.440853 | − | 0.320298i | ||||
\(853\) | −5.41758 | − | 3.93610i | −0.185494 | − | 0.134769i | 0.491163 | − | 0.871068i | \(-0.336572\pi\) |
−0.676657 | + | 0.736298i | \(0.736572\pi\) | |||||||
\(854\) | 1.84581 | − | 5.68082i | 0.0631624 | − | 0.194394i | ||||
\(855\) | −1.12853 | − | 3.47325i | −0.0385948 | − | 0.118783i | ||||
\(856\) | −8.86990 | + | 6.44436i | −0.303167 | + | 0.220264i | ||||
\(857\) | −36.1064 | −1.23337 | −0.616686 | − | 0.787209i | \(-0.711525\pi\) | ||||
−0.616686 | + | 0.787209i | \(0.711525\pi\) | |||||||
\(858\) | −5.99694 | − | 6.81511i | −0.204732 | − | 0.232664i | ||||
\(859\) | −37.1034 | −1.26595 | −0.632976 | − | 0.774171i | \(-0.718167\pi\) | ||||
−0.632976 | + | 0.774171i | \(0.718167\pi\) | |||||||
\(860\) | 5.96371 | − | 4.33289i | 0.203361 | − | 0.147750i | ||||
\(861\) | 2.31233 | + | 7.11663i | 0.0788042 | + | 0.242534i | ||||
\(862\) | −0.300410 | + | 0.924567i | −0.0102320 | + | 0.0314909i | ||||
\(863\) | −31.0439 | − | 22.5547i | −1.05675 | − | 0.767771i | −0.0832629 | − | 0.996528i | \(-0.526534\pi\) |
−0.973484 | + | 0.228756i | \(0.926534\pi\) | |||||||
\(864\) | −4.67653 | − | 3.39770i | −0.159099 | − | 0.115592i | ||||
\(865\) | 1.63872 | − | 5.04345i | 0.0557180 | − | 0.171482i | ||||
\(866\) | 10.7272 | + | 33.0150i | 0.364526 | + | 1.12190i | ||||
\(867\) | 27.5491 | − | 20.0156i | 0.935617 | − | 0.679765i | ||||
\(868\) | 7.83880 | 0.266066 | ||||||||
\(869\) | −15.0914 | − | 3.38824i | −0.511942 | − | 0.114938i | ||||
\(870\) | −0.634918 | −0.0215257 | ||||||||
\(871\) | −2.73809 | + | 1.98934i | −0.0927766 | + | 0.0674062i | ||||
\(872\) | 4.18170 | + | 12.8699i | 0.141610 | + | 0.435831i | ||||
\(873\) | −1.48238 | + | 4.56231i | −0.0501711 | + | 0.154411i | ||||
\(874\) | 33.4009 | + | 24.2672i | 1.12980 | + | 0.820850i | ||||
\(875\) | −4.60651 | − | 3.34682i | −0.155728 | − | 0.113143i | ||||
\(876\) | 0.912997 | − | 2.80992i | 0.0308473 | − | 0.0949382i | ||||
\(877\) | −0.250661 | − | 0.771456i | −0.00846423 | − | 0.0260502i | 0.946735 | − | 0.322013i | \(-0.104360\pi\) |
−0.955199 | + | 0.295963i | \(0.904360\pi\) | |||||||
\(878\) | −53.6325 | + | 38.9663i | −1.81001 | + | 1.31505i | ||||
\(879\) | 19.6252 | 0.661940 | ||||||||
\(880\) | −4.96800 | + | 8.38244i | −0.167471 | + | 0.282572i | ||||
\(881\) | −32.5076 | −1.09521 | −0.547605 | − | 0.836737i | \(-0.684460\pi\) | ||||
−0.547605 | + | 0.836737i | \(0.684460\pi\) | |||||||
\(882\) | −1.43376 | + | 1.04169i | −0.0482772 | + | 0.0350754i | ||||
\(883\) | 14.8636 | + | 45.7453i | 0.500199 | + | 1.53945i | 0.808695 | + | 0.588228i | \(0.200174\pi\) |
−0.308497 | + | 0.951225i | \(0.599826\pi\) | |||||||
\(884\) | −3.89012 | + | 11.9726i | −0.130839 | + | 0.402681i | ||||
\(885\) | −1.60066 | − | 1.16295i | −0.0538057 | − | 0.0390921i | ||||
\(886\) | −30.7510 | − | 22.3419i | −1.03310 | − | 0.750590i | ||||
\(887\) | 3.51806 | − | 10.8275i | 0.118125 | − | 0.363551i | −0.874461 | − | 0.485096i | \(-0.838785\pi\) |
0.992586 | + | 0.121545i | \(0.0387847\pi\) | |||||||
\(888\) | −3.62651 | − | 11.1613i | −0.121698 | − | 0.374547i | ||||
\(889\) | 6.67589 | − | 4.85032i | 0.223902 | − | 0.162675i | ||||
\(890\) | 8.52166 | 0.285647 | ||||||||
\(891\) | −3.04508 | + | 1.31433i | −0.102014 | + | 0.0440316i | ||||
\(892\) | 3.86563 | 0.129431 | ||||||||
\(893\) | −51.1205 | + | 37.1412i | −1.71068 | + | 1.24288i | ||||
\(894\) | −6.85971 | − | 21.1120i | −0.229423 | − | 0.706092i | ||||
\(895\) | −1.12038 | + | 3.44817i | −0.0374502 | + | 0.115260i | ||||
\(896\) | 8.94589 | + | 6.49957i | 0.298861 | + | 0.217135i | ||||
\(897\) | −4.70198 | − | 3.41619i | −0.156995 | − | 0.114063i | ||||
\(898\) | 3.50441 | − | 10.7855i | 0.116944 | − | 0.359916i | ||||
\(899\) | −1.28954 | − | 3.96879i | −0.0430085 | − | 0.132366i | ||||
\(900\) | 4.29335 | − | 3.11930i | 0.143112 | − | 0.103977i | ||||
\(901\) | 50.3351 | 1.67690 | ||||||||
\(902\) | 4.09797 | + | 43.7915i | 0.136448 | + | 1.45810i | ||||
\(903\) | −10.9537 | −0.364517 | ||||||||
\(904\) | −9.61962 | + | 6.98906i | −0.319944 | + | 0.232453i | ||||
\(905\) | 2.72830 | + | 8.39683i | 0.0906917 | + | 0.279120i | ||||
\(906\) | −0.179942 | + | 0.553803i | −0.00597816 | + | 0.0183989i | ||||
\(907\) | −10.8618 | − | 7.89153i | −0.360659 | − | 0.262034i | 0.392668 | − | 0.919680i | \(-0.371552\pi\) |
−0.753327 | + | 0.657646i | \(0.771552\pi\) | |||||||
\(908\) | −17.9018 | − | 13.0065i | −0.594094 | − | 0.431634i | ||||
\(909\) | −0.440861 | + | 1.35683i | −0.0146224 | + | 0.0450032i | ||||
\(910\) | 0.498966 | + | 1.53566i | 0.0165406 | + | 0.0509066i | ||||
\(911\) | −2.74502 | + | 1.99437i | −0.0909464 | + | 0.0660765i | −0.632329 | − | 0.774700i | \(-0.717901\pi\) |
0.541383 | + | 0.840776i | \(0.317901\pi\) | |||||||
\(912\) | −30.8303 | −1.02089 | ||||||||
\(913\) | −1.08456 | − | 11.5897i | −0.0358936 | − | 0.383564i | ||||
\(914\) | −65.4712 | −2.16560 | ||||||||
\(915\) | −1.60858 | + | 1.16870i | −0.0531779 | + | 0.0386360i | ||||
\(916\) | −3.47726 | − | 10.7019i | −0.114892 | − | 0.353601i | ||||
\(917\) | −3.74411 | + | 11.5232i | −0.123642 | + | 0.380530i | ||||
\(918\) | 10.2444 | + | 7.44296i | 0.338114 | + | 0.245654i | ||||
\(919\) | 36.0553 | + | 26.1957i | 1.18936 | + | 0.864117i | 0.993196 | − | 0.116455i | \(-0.0371530\pi\) |
0.196160 | + | 0.980572i | \(0.437153\pi\) | |||||||
\(920\) | −1.04461 | + | 3.21499i | −0.0344399 | + | 0.105995i | ||||
\(921\) | 5.27910 | + | 16.2474i | 0.173952 | + | 0.535370i | ||||
\(922\) | −10.6073 | + | 7.70665i | −0.349333 | + | 0.253805i | ||||
\(923\) | 21.5342 | 0.708807 | ||||||||
\(924\) | −3.47375 | + | 1.49935i | −0.114278 | + | 0.0493250i | ||||
\(925\) | 35.8525 | 1.17882 | ||||||||
\(926\) | 20.6056 | − | 14.9708i | 0.677141 | − | 0.491972i | ||||
\(927\) | 5.44403 | + | 16.7550i | 0.178805 | + | 0.550306i | ||||
\(928\) | −1.08480 | + | 3.33868i | −0.0356104 | + | 0.109597i | ||||
\(929\) | 5.78613 | + | 4.20387i | 0.189837 | + | 0.137924i | 0.678644 | − | 0.734467i | \(-0.262568\pi\) |
−0.488807 | + | 0.872392i | \(0.662568\pi\) | |||||||
\(930\) | −5.81197 | − | 4.22264i | −0.190582 | − | 0.138466i | ||||
\(931\) | −1.91300 | + | 5.88760i | −0.0626959 | + | 0.192958i | ||||
\(932\) | 2.51211 | + | 7.73149i | 0.0822871 | + | 0.253254i | ||||
\(933\) | −5.85203 | + | 4.25175i | −0.191587 | + | 0.139196i | ||||
\(934\) | 64.0883 | 2.09703 | ||||||||
\(935\) | 7.12763 | − | 12.0263i | 0.233099 | − | 0.393304i | ||||
\(936\) | 2.35179 | 0.0768706 | ||||||||
\(937\) | 1.05828 | − | 0.768889i | 0.0345727 | − | 0.0251185i | −0.570365 | − | 0.821392i | \(-0.693198\pi\) |
0.604937 | + | 0.796273i | \(0.293198\pi\) | |||||||
\(938\) | 1.20010 | + | 3.69353i | 0.0391847 | + | 0.120598i | ||||
\(939\) | −4.25777 | + | 13.1041i | −0.138947 | + | 0.427635i | ||||
\(940\) | 5.55725 | + | 4.03758i | 0.181258 | + | 0.131691i | ||||
\(941\) | 17.8975 | + | 13.0033i | 0.583442 | + | 0.423896i | 0.839963 | − | 0.542643i | \(-0.182576\pi\) |
−0.256521 | + | 0.966539i | \(0.582576\pi\) | |||||||
\(942\) | 1.46818 | − | 4.51859i | 0.0478359 | − | 0.147224i | ||||
\(943\) | 8.70164 | + | 26.7809i | 0.283365 | + | 0.872106i | ||||
\(944\) | −13.5129 | + | 9.81767i | −0.439806 | + | 0.319538i | ||||
\(945\) | 0.589926 | 0.0191903 | ||||||||
\(946\) | −62.8200 | − | 14.1040i | −2.04245 | − | 0.458560i | ||||
\(947\) | −17.6842 | −0.574658 | −0.287329 | − | 0.957832i | \(-0.592767\pi\) | ||||
−0.287329 | + | 0.957832i | \(0.592767\pi\) | |||||||
\(948\) | −4.30398 | + | 3.12703i | −0.139787 | + | 0.101561i | ||||
\(949\) | 1.23607 | + | 3.80423i | 0.0401245 | + | 0.123490i | ||||
\(950\) | 15.7714 | − | 48.5395i | 0.511693 | − | 1.57483i | ||||
\(951\) | −5.62775 | − | 4.08880i | −0.182492 | − | 0.132589i | ||||
\(952\) | −8.80222 | − | 6.39519i | −0.285282 | − | 0.207269i | ||||
\(953\) | −7.34659 | + | 22.6105i | −0.237980 | + | 0.732426i | 0.758733 | + | 0.651402i | \(0.225819\pi\) |
−0.996712 | + | 0.0810235i | \(0.974181\pi\) | |||||||
\(954\) | 3.85800 | + | 11.8737i | 0.124907 | + | 0.384426i | ||||
\(955\) | −4.71223 | + | 3.42364i | −0.152484 | + | 0.110786i | ||||
\(956\) | 25.4272 | 0.822374 | ||||||||
\(957\) | 1.33058 | + | 1.51211i | 0.0430115 | + | 0.0488796i | ||||
\(958\) | 28.4003 | 0.917573 | ||||||||
\(959\) | −14.1212 | + | 10.2597i | −0.455997 | + | 0.331301i | ||||
\(960\) | 0.0517712 | + | 0.159335i | 0.00167091 | + | 0.00514253i | ||||
\(961\) | 5.01138 | − | 15.4234i | 0.161657 | − | 0.497530i | ||||
\(962\) | −17.0659 | − | 12.3991i | −0.550227 | − | 0.399764i | ||||
\(963\) | 5.82496 | + | 4.23208i | 0.187707 | + | 0.136377i | ||||
\(964\) | 5.24380 | − | 16.1388i | 0.168891 | − | 0.519795i | ||||
\(965\) | −1.12680 | − | 3.46794i | −0.0362730 | − | 0.111637i | ||||
\(966\) | −5.39544 | + | 3.92001i | −0.173595 | + | 0.126124i | ||||
\(967\) | 21.1829 | 0.681195 | 0.340597 | − | 0.940209i | \(-0.389371\pi\) | ||||
0.340597 | + | 0.940209i | \(0.389371\pi\) | |||||||
\(968\) | 16.4593 | − | 3.10771i | 0.529023 | − | 0.0998857i | ||||
\(969\) | 44.2324 | 1.42095 | ||||||||
\(970\) | 4.05744 | − | 2.94790i | 0.130276 | − | 0.0946514i | ||||
\(971\) | −14.6585 | − | 45.1143i | −0.470415 | − | 1.44779i | −0.852043 | − | 0.523472i | \(-0.824637\pi\) |
0.381628 | − | 0.924316i | \(-0.375363\pi\) | |||||||
\(972\) | −0.352519 | + | 1.08494i | −0.0113070 | + | 0.0347995i | ||||
\(973\) | 11.9430 | + | 8.67709i | 0.382875 | + | 0.278175i | ||||
\(974\) | −2.22318 | − | 1.61523i | −0.0712351 | − | 0.0517554i | ||||
\(975\) | −2.22021 | + | 6.83310i | −0.0711035 | + | 0.218834i | ||||
\(976\) | 5.18698 | + | 15.9639i | 0.166031 | + | 0.510991i | ||||
\(977\) | 10.6677 | − | 7.75055i | 0.341290 | − | 0.247962i | −0.403916 | − | 0.914796i | \(-0.632351\pi\) |
0.745206 | + | 0.666834i | \(0.232351\pi\) | |||||||
\(978\) | 1.58023 | 0.0505303 | ||||||||
\(979\) | −17.8586 | − | 20.2950i | −0.570763 | − | 0.648632i | ||||
\(980\) | 0.672972 | 0.0214973 | ||||||||
\(981\) | 7.18955 | − | 5.22352i | 0.229545 | − | 0.166774i | ||||
\(982\) | −0.0181619 | − | 0.0558965i | −0.000579569 | − | 0.00178373i | ||||
\(983\) | −1.25999 | + | 3.87784i | −0.0401873 | + | 0.123684i | −0.969137 | − | 0.246521i | \(-0.920713\pi\) |
0.928950 | + | 0.370205i | \(0.120713\pi\) | |||||||
\(984\) | −9.21832 | − | 6.69750i | −0.293869 | − | 0.213509i | ||||
\(985\) | 9.10231 | + | 6.61321i | 0.290024 | + | 0.210714i | ||||
\(986\) | 2.37635 | − | 7.31366i | 0.0756785 | − | 0.232915i | ||||
\(987\) | −3.15419 | − | 9.70760i | −0.100399 | − | 0.308996i | ||||
\(988\) | −8.82393 | + | 6.41096i | −0.280726 | + | 0.203960i | ||||
\(989\) | −41.2204 | −1.31073 | ||||||||
\(990\) | 3.38324 | + | 0.759586i | 0.107527 | + | 0.0241412i | ||||
\(991\) | −5.49154 | −0.174445 | −0.0872223 | − | 0.996189i | \(-0.527799\pi\) | ||||
−0.0872223 | + | 0.996189i | \(0.527799\pi\) | |||||||
\(992\) | −32.1347 | + | 23.3472i | −1.02028 | + | 0.741275i | ||||
\(993\) | 9.16849 | + | 28.2177i | 0.290953 | + | 0.895462i | ||||
\(994\) | 7.63584 | − | 23.5007i | 0.242194 | − | 0.745397i | ||||
\(995\) | 5.65454 | + | 4.10827i | 0.179261 | + | 0.130241i | ||||
\(996\) | −3.23912 | − | 2.35336i | −0.102636 | − | 0.0745691i | ||||
\(997\) | 7.09891 | − | 21.8482i | 0.224825 | − | 0.691939i | −0.773485 | − | 0.633815i | \(-0.781488\pi\) |
0.998309 | − | 0.0581241i | \(-0.0185119\pi\) | |||||||
\(998\) | −14.8037 | − | 45.5610i | −0.468602 | − | 1.44221i | ||||
\(999\) | −6.23503 | + | 4.53002i | −0.197268 | + | 0.143323i |
(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 | 231.2.j.f.190.1 | yes | 8 | |
3.2 | odd | 2 | 693.2.m.f.190.2 | 8 | |||
11.2 | odd | 10 | 2541.2.a.bm.1.1 | 4 | |||
11.4 | even | 5 | inner | 231.2.j.f.169.1 | ✓ | 8 | |
11.9 | even | 5 | 2541.2.a.bn.1.4 | 4 | |||
33.2 | even | 10 | 7623.2.a.cl.1.4 | 4 | |||
33.20 | odd | 10 | 7623.2.a.ci.1.1 | 4 | |||
33.26 | odd | 10 | 693.2.m.f.631.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
231.2.j.f.169.1 | ✓ | 8 | 11.4 | even | 5 | inner | |
231.2.j.f.190.1 | yes | 8 | 1.1 | even | 1 | trivial | |
693.2.m.f.190.2 | 8 | 3.2 | odd | 2 | |||
693.2.m.f.631.2 | 8 | 33.26 | odd | 10 | |||
2541.2.a.bm.1.1 | 4 | 11.2 | odd | 10 | |||
2541.2.a.bn.1.4 | 4 | 11.9 | even | 5 | |||
7623.2.a.ci.1.1 | 4 | 33.20 | odd | 10 | |||
7623.2.a.cl.1.4 | 4 | 33.2 | even | 10 |