Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(208,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.208");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.n (of order \(12\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 608.45 | ||
Character | \(\chi\) | \(=\) | 731.608 |
Dual form | 731.2.n.a.208.20 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.24128i | 0.877720i | 0.898555 | + | 0.438860i | \(0.144618\pi\) | ||||
−0.898555 | + | 0.438860i | \(0.855382\pi\) | |||||||
\(3\) | 2.55087 | − | 0.683505i | 1.47275 | − | 0.394622i | 0.568875 | − | 0.822424i | \(-0.307379\pi\) |
0.903872 | + | 0.427802i | \(0.140712\pi\) | |||||||
\(4\) | 0.459214 | 0.229607 | ||||||||
\(5\) | 1.75642 | − | 0.470632i | 0.785497 | − | 0.210473i | 0.156290 | − | 0.987711i | \(-0.450047\pi\) |
0.629207 | + | 0.777238i | \(0.283380\pi\) | |||||||
\(6\) | 0.848423 | + | 3.16636i | 0.346367 | + | 1.29266i | ||||
\(7\) | −1.74616 | − | 0.467882i | −0.659987 | − | 0.176843i | −0.0867466 | − | 0.996230i | \(-0.527647\pi\) |
−0.573240 | + | 0.819388i | \(0.694314\pi\) | |||||||
\(8\) | 3.05258i | 1.07925i | ||||||||
\(9\) | 3.44170 | − | 1.98707i | 1.14723 | − | 0.662356i | ||||
\(10\) | 0.584188 | + | 2.18022i | 0.184737 | + | 0.689446i | ||||
\(11\) | 1.36614 | − | 1.36614i | 0.411908 | − | 0.411908i | −0.470495 | − | 0.882403i | \(-0.655925\pi\) |
0.882403 | + | 0.470495i | \(0.155925\pi\) | |||||||
\(12\) | 1.17140 | − | 0.313875i | 0.338153 | − | 0.0906079i | ||||
\(13\) | −1.50484 | − | 2.60646i | −0.417367 | − | 0.722901i | 0.578307 | − | 0.815819i | \(-0.303714\pi\) |
−0.995674 | + | 0.0929187i | \(0.970380\pi\) | |||||||
\(14\) | 0.580775 | − | 2.16748i | 0.155219 | − | 0.579284i | ||||
\(15\) | 4.15874 | − | 2.40105i | 1.07378 | − | 0.619948i | ||||
\(16\) | −2.87069 | −0.717674 | ||||||||
\(17\) | 1.26930 | + | 3.92286i | 0.307852 | + | 0.951434i | ||||
\(18\) | 2.46651 | + | 4.27213i | 0.581363 | + | 1.00695i | ||||
\(19\) | 0.780862 | + | 0.450831i | 0.179142 | + | 0.103428i | 0.586890 | − | 0.809667i | \(-0.300352\pi\) |
−0.407747 | + | 0.913095i | \(0.633686\pi\) | |||||||
\(20\) | 0.806575 | − | 0.216121i | 0.180356 | − | 0.0483261i | ||||
\(21\) | −4.77403 | −1.04178 | ||||||||
\(22\) | 1.69577 | + | 1.69577i | 0.361540 | + | 0.361540i | ||||
\(23\) | −0.978224 | − | 3.65078i | −0.203974 | − | 0.761240i | −0.989760 | − | 0.142742i | \(-0.954408\pi\) |
0.785786 | − | 0.618498i | \(-0.212259\pi\) | |||||||
\(24\) | 2.08645 | + | 7.78675i | 0.425896 | + | 1.58946i | ||||
\(25\) | −1.46660 | + | 0.846740i | −0.293319 | + | 0.169348i | ||||
\(26\) | 3.23535 | − | 1.86793i | 0.634505 | − | 0.366331i | ||||
\(27\) | 1.81907 | − | 1.81907i | 0.350080 | − | 0.350080i | ||||
\(28\) | −0.801862 | − | 0.214858i | −0.151538 | − | 0.0406044i | ||||
\(29\) | 0.0319814 | − | 0.119356i | 0.00593880 | − | 0.0221639i | −0.962893 | − | 0.269884i | \(-0.913015\pi\) |
0.968832 | + | 0.247720i | \(0.0796813\pi\) | |||||||
\(30\) | 2.98038 | + | 5.16217i | 0.544141 | + | 0.942479i | ||||
\(31\) | −9.88434 | + | 2.64850i | −1.77528 | + | 0.475685i | −0.989710 | − | 0.143088i | \(-0.954297\pi\) |
−0.785570 | + | 0.618773i | \(0.787630\pi\) | |||||||
\(32\) | 2.54182i | 0.449334i | ||||||||
\(33\) | 2.55110 | − | 4.41863i | 0.444089 | − | 0.769184i | ||||
\(34\) | −4.86939 | + | 1.57557i | −0.835093 | + | 0.270208i | ||||
\(35\) | −3.28720 | −0.555638 | ||||||||
\(36\) | 1.58048 | − | 0.912489i | 0.263413 | − | 0.152082i | ||||
\(37\) | 3.88326 | − | 1.04052i | 0.638404 | − | 0.171060i | 0.0749234 | − | 0.997189i | \(-0.476129\pi\) |
0.563480 | + | 0.826130i | \(0.309462\pi\) | |||||||
\(38\) | −0.559609 | + | 0.969272i | −0.0907806 | + | 0.157237i | ||||
\(39\) | −5.62018 | − | 5.62018i | −0.899948 | − | 0.899948i | ||||
\(40\) | 1.43664 | + | 5.36163i | 0.227153 | + | 0.847748i | ||||
\(41\) | 2.90950 | − | 2.90950i | 0.454388 | − | 0.454388i | −0.442420 | − | 0.896808i | \(-0.645880\pi\) |
0.896808 | + | 0.442420i | \(0.145880\pi\) | |||||||
\(42\) | − | 5.92593i | − | 0.914391i | ||||||
\(43\) | 6.20731 | + | 2.11406i | 0.946606 | + | 0.322392i | ||||
\(44\) | 0.627353 | − | 0.627353i | 0.0945770 | − | 0.0945770i | ||||
\(45\) | 5.10991 | − | 5.10991i | 0.761740 | − | 0.761740i | ||||
\(46\) | 4.53165 | − | 1.21425i | 0.668156 | − | 0.179032i | ||||
\(47\) | 0.665590 | 0.0970863 | 0.0485431 | − | 0.998821i | \(-0.484542\pi\) | ||||
0.0485431 | + | 0.998821i | \(0.484542\pi\) | |||||||
\(48\) | −7.32278 | + | 1.96213i | −1.05695 | + | 0.283209i | ||||
\(49\) | −3.23202 | − | 1.86601i | −0.461717 | − | 0.266572i | ||||
\(50\) | −1.05105 | − | 1.82046i | −0.148640 | − | 0.257452i | ||||
\(51\) | 5.91913 | + | 9.13916i | 0.828844 | + | 1.27974i | ||||
\(52\) | −0.691043 | − | 1.19692i | −0.0958304 | − | 0.165983i | ||||
\(53\) | −9.31899 | − | 5.38032i | −1.28006 | − | 0.739044i | −0.303202 | − | 0.952926i | \(-0.598056\pi\) |
−0.976859 | + | 0.213883i | \(0.931389\pi\) | |||||||
\(54\) | 2.25798 | + | 2.25798i | 0.307272 | + | 0.307272i | ||||
\(55\) | 1.75658 | − | 3.04248i | 0.236857 | − | 0.410248i | ||||
\(56\) | 1.42825 | − | 5.33030i | 0.190858 | − | 0.712291i | ||||
\(57\) | 2.30003 | + | 0.616290i | 0.304646 | + | 0.0816296i | ||||
\(58\) | 0.148155 | + | 0.0396980i | 0.0194537 | + | 0.00521261i | ||||
\(59\) | − | 1.34567i | − | 0.175192i | −0.996156 | − | 0.0875960i | \(-0.972082\pi\) | ||
0.996156 | − | 0.0875960i | \(-0.0279184\pi\) | |||||||
\(60\) | 1.90975 | − | 1.10259i | 0.246548 | − | 0.142344i | ||||
\(61\) | 9.86029 | + | 2.64206i | 1.26248 | + | 0.338281i | 0.827146 | − | 0.561988i | \(-0.189963\pi\) |
0.435335 | + | 0.900268i | \(0.356630\pi\) | |||||||
\(62\) | −3.28754 | − | 12.2693i | −0.417518 | − | 1.55820i | ||||
\(63\) | −6.93948 | + | 1.85943i | −0.874292 | + | 0.234266i | ||||
\(64\) | −8.89651 | −1.11206 | ||||||||
\(65\) | −3.86982 | − | 3.86982i | −0.479991 | − | 0.479991i | ||||
\(66\) | 5.48477 | + | 3.16663i | 0.675129 | + | 0.389786i | ||||
\(67\) | 0.292776 | − | 0.507103i | 0.0357683 | − | 0.0619525i | −0.847587 | − | 0.530656i | \(-0.821945\pi\) |
0.883355 | + | 0.468704i | \(0.155279\pi\) | |||||||
\(68\) | 0.582883 | + | 1.80143i | 0.0706849 | + | 0.218456i | ||||
\(69\) | −4.99065 | − | 8.64406i | −0.600804 | − | 1.04062i | ||||
\(70\) | − | 4.08035i | − | 0.487695i | ||||||
\(71\) | −2.34176 | + | 8.73958i | −0.277916 | + | 1.03720i | 0.675946 | + | 0.736951i | \(0.263735\pi\) |
−0.953862 | + | 0.300246i | \(0.902931\pi\) | |||||||
\(72\) | 6.06569 | + | 10.5061i | 0.714848 | + | 1.23815i | ||||
\(73\) | 0.204708 | − | 0.763979i | 0.0239592 | − | 0.0894170i | −0.952911 | − | 0.303250i | \(-0.901928\pi\) |
0.976870 | + | 0.213833i | \(0.0685949\pi\) | |||||||
\(74\) | 1.29158 | + | 4.82023i | 0.150143 | + | 0.560340i | ||||
\(75\) | −3.16235 | + | 3.16235i | −0.365157 | + | 0.365157i | ||||
\(76\) | 0.358583 | + | 0.207028i | 0.0411323 | + | 0.0237477i | ||||
\(77\) | −3.02470 | + | 1.74631i | −0.344697 | + | 0.199011i | ||||
\(78\) | 6.97623 | − | 6.97623i | 0.789903 | − | 0.789903i | ||||
\(79\) | −10.3200 | − | 2.76525i | −1.16110 | − | 0.311115i | −0.373692 | − | 0.927553i | \(-0.621908\pi\) |
−0.787403 | + | 0.616438i | \(0.788575\pi\) | |||||||
\(80\) | −5.04216 | + | 1.35104i | −0.563730 | + | 0.151051i | ||||
\(81\) | −2.56433 | + | 4.44155i | −0.284925 | + | 0.493505i | ||||
\(82\) | 3.61152 | + | 3.61152i | 0.398826 | + | 0.398826i | ||||
\(83\) | 2.42626 | + | 1.40080i | 0.266317 | + | 0.153758i | 0.627213 | − | 0.778848i | \(-0.284196\pi\) |
−0.360896 | + | 0.932606i | \(0.617529\pi\) | |||||||
\(84\) | −2.19230 | −0.239200 | ||||||||
\(85\) | 4.07566 | + | 6.29284i | 0.442068 | + | 0.682554i | ||||
\(86\) | −2.62415 | + | 7.70504i | −0.282970 | + | 0.830856i | ||||
\(87\) | − | 0.326322i | − | 0.0349854i | ||||||
\(88\) | 4.17027 | + | 4.17027i | 0.444552 | + | 0.444552i | ||||
\(89\) | −1.76806 | + | 3.06237i | −0.187414 | + | 0.324611i | −0.944387 | − | 0.328835i | \(-0.893344\pi\) |
0.756973 | + | 0.653446i | \(0.226677\pi\) | |||||||
\(90\) | 6.34285 | + | 6.34285i | 0.668595 | + | 0.668595i | ||||
\(91\) | 1.40817 | + | 5.25538i | 0.147617 | + | 0.550913i | ||||
\(92\) | −0.449214 | − | 1.67649i | −0.0468338 | − | 0.174786i | ||||
\(93\) | −23.4034 | + | 13.5120i | −2.42682 | + | 1.40113i | ||||
\(94\) | 0.826186i | 0.0852146i | ||||||||
\(95\) | 1.58370 | + | 0.424351i | 0.162484 | + | 0.0435375i | ||||
\(96\) | 1.73735 | + | 6.48386i | 0.177317 | + | 0.661756i | ||||
\(97\) | 2.19312 | + | 2.19312i | 0.222677 | + | 0.222677i | 0.809625 | − | 0.586948i | \(-0.199671\pi\) |
−0.586948 | + | 0.809625i | \(0.699671\pi\) | |||||||
\(98\) | 2.31624 | − | 4.01185i | 0.233976 | − | 0.405258i | ||||
\(99\) | 1.98724 | − | 7.41648i | 0.199725 | − | 0.745385i | ||||
\(100\) | −0.673482 | + | 0.388835i | −0.0673482 | + | 0.0388835i | ||||
\(101\) | 1.42732 | + | 2.47218i | 0.142023 | + | 0.245991i | 0.928258 | − | 0.371936i | \(-0.121306\pi\) |
−0.786235 | + | 0.617927i | \(0.787973\pi\) | |||||||
\(102\) | −11.3443 | + | 7.34732i | −1.12325 | + | 0.727493i | ||||
\(103\) | −6.76282 | − | 11.7136i | −0.666361 | − | 1.15417i | −0.978914 | − | 0.204271i | \(-0.934518\pi\) |
0.312554 | − | 0.949900i | \(-0.398816\pi\) | |||||||
\(104\) | 7.95642 | − | 4.59364i | 0.780191 | − | 0.450444i | ||||
\(105\) | −8.38523 | + | 2.24681i | −0.818314 | + | 0.219267i | ||||
\(106\) | 6.67850 | − | 11.5675i | 0.648674 | − | 1.12354i | ||||
\(107\) | −9.66677 | − | 9.66677i | −0.934522 | − | 0.934522i | 0.0634626 | − | 0.997984i | \(-0.479786\pi\) |
−0.997984 | + | 0.0634626i | \(0.979786\pi\) | |||||||
\(108\) | 0.835342 | − | 0.835342i | 0.0803809 | − | 0.0803809i | ||||
\(109\) | 4.33271 | + | 16.1699i | 0.414998 | + | 1.54880i | 0.784839 | + | 0.619700i | \(0.212746\pi\) |
−0.369840 | + | 0.929095i | \(0.620588\pi\) | |||||||
\(110\) | 3.77658 | + | 2.18041i | 0.360083 | + | 0.207894i | ||||
\(111\) | 9.19450 | − | 5.30845i | 0.872704 | − | 0.503856i | ||||
\(112\) | 5.01269 | + | 1.34315i | 0.473655 | + | 0.126915i | ||||
\(113\) | 9.49835 | − | 9.49835i | 0.893530 | − | 0.893530i | −0.101324 | − | 0.994853i | \(-0.532308\pi\) |
0.994853 | + | 0.101324i | \(0.0323079\pi\) | |||||||
\(114\) | −0.764991 | + | 2.85498i | −0.0716480 | + | 0.267394i | ||||
\(115\) | −3.43635 | − | 5.95193i | −0.320441 | − | 0.555021i | ||||
\(116\) | 0.0146863 | − | 0.0548101i | 0.00136359 | − | 0.00508899i | ||||
\(117\) | −10.3584 | − | 5.98043i | −0.957635 | − | 0.552891i | ||||
\(118\) | 1.67036 | 0.153770 | ||||||||
\(119\) | −0.380970 | − | 7.44384i | −0.0349235 | − | 0.682375i | ||||
\(120\) | 7.32940 | + | 12.6949i | 0.669079 | + | 1.15888i | ||||
\(121\) | 7.26730i | 0.660664i | ||||||||
\(122\) | −3.27954 | + | 12.2394i | −0.296916 | + | 1.10811i | ||||
\(123\) | 5.43312 | − | 9.41043i | 0.489888 | − | 0.848510i | ||||
\(124\) | −4.53903 | + | 1.21623i | −0.407617 | + | 0.109221i | ||||
\(125\) | −8.60642 | + | 8.60642i | −0.769782 | + | 0.769782i | ||||
\(126\) | −2.30808 | − | 8.61386i | −0.205620 | − | 0.767384i | ||||
\(127\) | 17.5790i | 1.55988i | 0.625852 | + | 0.779942i | \(0.284752\pi\) | ||||
−0.625852 | + | 0.779942i | \(0.715248\pi\) | |||||||
\(128\) | − | 5.95945i | − | 0.526746i | ||||||
\(129\) | 17.2790 | + | 1.14998i | 1.52133 | + | 0.101250i | ||||
\(130\) | 4.80354 | − | 4.80354i | 0.421298 | − | 0.421298i | ||||
\(131\) | 0.135929 | + | 0.135929i | 0.0118761 | + | 0.0118761i | 0.713020 | − | 0.701144i | \(-0.247327\pi\) |
−0.701144 | + | 0.713020i | \(0.747327\pi\) | |||||||
\(132\) | 1.17150 | − | 2.02910i | 0.101966 | − | 0.176610i | ||||
\(133\) | −1.15257 | − | 1.15257i | −0.0999409 | − | 0.0999409i | ||||
\(134\) | 0.629459 | + | 0.363418i | 0.0543770 | + | 0.0313946i | ||||
\(135\) | 2.33894 | − | 4.05117i | 0.201304 | − | 0.348669i | ||||
\(136\) | −11.9749 | + | 3.87466i | −1.02684 | + | 0.332249i | ||||
\(137\) | −6.58109 | −0.562260 | −0.281130 | − | 0.959670i | \(-0.590709\pi\) | ||||
−0.281130 | + | 0.959670i | \(0.590709\pi\) | |||||||
\(138\) | 10.7297 | − | 6.19481i | 0.913375 | − | 0.527337i | ||||
\(139\) | 17.0860 | − | 4.57817i | 1.44921 | − | 0.388315i | 0.553462 | − | 0.832874i | \(-0.313306\pi\) |
0.895749 | + | 0.444559i | \(0.146640\pi\) | |||||||
\(140\) | −1.50953 | −0.127578 | ||||||||
\(141\) | 1.69784 | − | 0.454934i | 0.142984 | − | 0.0383123i | ||||
\(142\) | −10.8483 | − | 2.90679i | −0.910369 | − | 0.243933i | ||||
\(143\) | −5.61662 | − | 1.50497i | −0.469685 | − | 0.125852i | ||||
\(144\) | −9.88007 | + | 5.70426i | −0.823339 | + | 0.475355i | ||||
\(145\) | − | 0.224692i | − | 0.0186596i | ||||||
\(146\) | 0.948315 | + | 0.254100i | 0.0784831 | + | 0.0210295i | ||||
\(147\) | −9.51989 | − | 2.55085i | −0.785187 | − | 0.210390i | ||||
\(148\) | 1.78325 | − | 0.477820i | 0.146582 | − | 0.0392765i | ||||
\(149\) | 9.63796 | − | 16.6934i | 0.789572 | − | 1.36758i | −0.136657 | − | 0.990618i | \(-0.543636\pi\) |
0.926229 | − | 0.376961i | \(-0.123031\pi\) | |||||||
\(150\) | −3.92538 | − | 3.92538i | −0.320506 | − | 0.320506i | ||||
\(151\) | 0.211529i | 0.0172140i | 0.999963 | + | 0.00860699i | \(0.00273972\pi\) | ||||
−0.999963 | + | 0.00860699i | \(0.997260\pi\) | |||||||
\(152\) | −1.37620 | + | 2.38365i | −0.111624 | + | 0.193339i | ||||
\(153\) | 12.1636 | + | 10.9791i | 0.983366 | + | 0.887611i | ||||
\(154\) | −2.16767 | − | 3.75451i | −0.174676 | − | 0.302547i | ||||
\(155\) | −16.1146 | + | 9.30378i | −1.29436 | + | 0.747298i | ||||
\(156\) | −2.58086 | − | 2.58086i | −0.206634 | − | 0.206634i | ||||
\(157\) | −9.11806 | − | 15.7929i | −0.727700 | − | 1.26041i | −0.957853 | − | 0.287259i | \(-0.907256\pi\) |
0.230153 | − | 0.973155i | \(-0.426077\pi\) | |||||||
\(158\) | 3.43246 | − | 12.8101i | 0.273072 | − | 1.01912i | ||||
\(159\) | −27.4490 | − | 7.35495i | −2.17685 | − | 0.583285i | ||||
\(160\) | 1.19626 | + | 4.46451i | 0.0945729 | + | 0.352951i | ||||
\(161\) | 6.83254i | 0.538480i | ||||||||
\(162\) | −5.51322 | − | 3.18306i | −0.433160 | − | 0.250085i | ||||
\(163\) | 2.13803 | + | 0.572884i | 0.167464 | + | 0.0448717i | 0.341577 | − | 0.939854i | \(-0.389039\pi\) |
−0.174113 | + | 0.984726i | \(0.555706\pi\) | |||||||
\(164\) | 1.33609 | − | 1.33609i | 0.104331 | − | 0.104331i | ||||
\(165\) | 2.40126 | − | 8.96161i | 0.186938 | − | 0.697660i | ||||
\(166\) | −1.73880 | + | 3.01168i | −0.134957 | + | 0.233752i | ||||
\(167\) | −5.11733 | + | 1.37118i | −0.395991 | + | 0.106105i | −0.451319 | − | 0.892363i | \(-0.649046\pi\) |
0.0553281 | + | 0.998468i | \(0.482380\pi\) | |||||||
\(168\) | − | 14.5731i | − | 1.12434i | ||||||
\(169\) | 1.97093 | − | 3.41374i | 0.151610 | − | 0.262596i | ||||
\(170\) | −7.81120 | + | 5.05906i | −0.599092 | + | 0.388012i | ||||
\(171\) | 3.58333 | 0.274024 | ||||||||
\(172\) | 2.85049 | + | 0.970808i | 0.217348 | + | 0.0740234i | ||||
\(173\) | −9.09700 | − | 9.09700i | −0.691632 | − | 0.691632i | 0.270959 | − | 0.962591i | \(-0.412659\pi\) |
−0.962591 | + | 0.270959i | \(0.912659\pi\) | |||||||
\(174\) | 0.405059 | 0.0307074 | ||||||||
\(175\) | 2.95709 | − | 0.792350i | 0.223535 | − | 0.0598960i | ||||
\(176\) | −3.92178 | + | 3.92178i | −0.295615 | + | 0.295615i | ||||
\(177\) | −0.919775 | − | 3.43265i | −0.0691345 | − | 0.258014i | ||||
\(178\) | −3.80127 | − | 2.19466i | −0.284917 | − | 0.164497i | ||||
\(179\) | −9.52452 | + | 5.49898i | −0.711896 | + | 0.411013i | −0.811763 | − | 0.583987i | \(-0.801492\pi\) |
0.0998666 | + | 0.995001i | \(0.468158\pi\) | |||||||
\(180\) | 2.34654 | − | 2.34654i | 0.174901 | − | 0.174901i | ||||
\(181\) | 22.7198 | + | 6.08775i | 1.68875 | + | 0.452499i | 0.970066 | − | 0.242841i | \(-0.0780793\pi\) |
0.718682 | + | 0.695339i | \(0.244746\pi\) | |||||||
\(182\) | −6.52341 | + | 1.74794i | −0.483548 | + | 0.129566i | ||||
\(183\) | 26.9582 | 1.99281 | ||||||||
\(184\) | 11.1443 | − | 2.98611i | 0.821569 | − | 0.220139i | ||||
\(185\) | 6.33095 | − | 3.65517i | 0.465460 | − | 0.268734i | ||||
\(186\) | −16.7722 | − | 29.0503i | −1.22980 | − | 2.13007i | ||||
\(187\) | 7.09325 | + | 3.62515i | 0.518710 | + | 0.265097i | ||||
\(188\) | 0.305648 | 0.0222917 | ||||||||
\(189\) | −4.02750 | + | 2.32528i | −0.292957 | + | 0.169139i | ||||
\(190\) | −0.526740 | + | 1.96582i | −0.0382138 | + | 0.142616i | ||||
\(191\) | 8.38238 | − | 14.5187i | 0.606528 | − | 1.05054i | −0.385280 | − | 0.922800i | \(-0.625895\pi\) |
0.991808 | − | 0.127738i | \(-0.0407715\pi\) | |||||||
\(192\) | −22.6939 | + | 6.08080i | −1.63779 | + | 0.438844i | ||||
\(193\) | 7.74865 | − | 7.74865i | 0.557760 | − | 0.557760i | −0.370909 | − | 0.928669i | \(-0.620954\pi\) |
0.928669 | + | 0.370909i | \(0.120954\pi\) | |||||||
\(194\) | −2.72228 | + | 2.72228i | −0.195449 | + | 0.195449i | ||||
\(195\) | −12.5164 | − | 7.22637i | −0.896321 | − | 0.517491i | ||||
\(196\) | −1.48419 | − | 0.856896i | −0.106013 | − | 0.0612069i | ||||
\(197\) | 0.571977 | + | 0.153261i | 0.0407517 | + | 0.0109194i | 0.279137 | − | 0.960251i | \(-0.409952\pi\) |
−0.238386 | + | 0.971171i | \(0.576618\pi\) | |||||||
\(198\) | 9.20596 | + | 2.46673i | 0.654239 | + | 0.175303i | ||||
\(199\) | −2.33258 | − | 2.33258i | −0.165353 | − | 0.165353i | 0.619581 | − | 0.784933i | \(-0.287303\pi\) |
−0.784933 | + | 0.619581i | \(0.787303\pi\) | |||||||
\(200\) | −2.58475 | − | 4.47691i | −0.182769 | − | 0.316565i | ||||
\(201\) | 0.400228 | − | 1.49367i | 0.0282299 | − | 0.105355i | ||||
\(202\) | −3.06868 | + | 1.77170i | −0.215912 | + | 0.124657i | ||||
\(203\) | −0.111689 | + | 0.193452i | −0.00783906 | + | 0.0135777i | ||||
\(204\) | 2.71815 | + | 4.19683i | 0.190308 | + | 0.293837i | ||||
\(205\) | 3.74101 | − | 6.47963i | 0.261284 | − | 0.452557i | ||||
\(206\) | 14.5398 | − | 8.39458i | 1.01304 | − | 0.584878i | ||||
\(207\) | −10.6211 | − | 10.6211i | −0.738217 | − | 0.738217i | ||||
\(208\) | 4.31993 | + | 7.48234i | 0.299533 | + | 0.518807i | ||||
\(209\) | 1.68267 | − | 0.450870i | 0.116393 | − | 0.0311873i | ||||
\(210\) | −2.78894 | − | 10.4084i | −0.192455 | − | 0.718251i | ||||
\(211\) | −4.78338 | + | 4.78338i | −0.329302 | + | 0.329302i | −0.852321 | − | 0.523019i | \(-0.824806\pi\) |
0.523019 | + | 0.852321i | \(0.324806\pi\) | |||||||
\(212\) | −4.27941 | − | 2.47072i | −0.293911 | − | 0.169690i | ||||
\(213\) | 23.8942i | 1.63720i | ||||||||
\(214\) | 11.9992 | − | 11.9992i | 0.820249 | − | 0.820249i | ||||
\(215\) | 11.8976 | + | 0.791831i | 0.811411 | + | 0.0540024i | ||||
\(216\) | 5.55286 | + | 5.55286i | 0.377824 | + | 0.377824i | ||||
\(217\) | 18.4988 | 1.25578 | ||||||||
\(218\) | −20.0714 | + | 5.37813i | −1.35941 | + | 0.364253i | ||||
\(219\) | − | 2.08873i | − | 0.141143i | ||||||
\(220\) | 0.806645 | − | 1.39715i | 0.0543840 | − | 0.0941958i | ||||
\(221\) | 8.31467 | − | 9.21166i | 0.559306 | − | 0.619643i | ||||
\(222\) | 6.58929 | + | 11.4130i | 0.442244 | + | 0.765990i | ||||
\(223\) | − | 18.0375i | − | 1.20788i | −0.797028 | − | 0.603942i | \(-0.793596\pi\) | ||
0.797028 | − | 0.603942i | \(-0.206404\pi\) | |||||||
\(224\) | 1.18927 | − | 4.43842i | 0.0794616 | − | 0.296555i | ||||
\(225\) | −3.36506 | + | 5.82846i | −0.224337 | + | 0.388564i | ||||
\(226\) | 11.7901 | + | 11.7901i | 0.784269 | + | 0.784269i | ||||
\(227\) | 0.405895 | + | 1.51482i | 0.0269402 | + | 0.100542i | 0.978087 | − | 0.208197i | \(-0.0667596\pi\) |
−0.951147 | + | 0.308739i | \(0.900093\pi\) | |||||||
\(228\) | 1.05620 | + | 0.283009i | 0.0699488 | + | 0.0187427i | ||||
\(229\) | 0.0553946 | − | 0.0319821i | 0.00366058 | − | 0.00211344i | −0.498169 | − | 0.867080i | \(-0.665994\pi\) |
0.501829 | + | 0.864967i | \(0.332661\pi\) | |||||||
\(230\) | 7.38804 | − | 4.26549i | 0.487153 | − | 0.281258i | ||||
\(231\) | −6.52202 | + | 6.52202i | −0.429117 | + | 0.429117i | ||||
\(232\) | 0.364345 | + | 0.0976260i | 0.0239204 | + | 0.00640946i | ||||
\(233\) | 0.842595 | − | 3.14461i | 0.0552002 | − | 0.206010i | −0.932818 | − | 0.360348i | \(-0.882658\pi\) |
0.988018 | + | 0.154338i | \(0.0493245\pi\) | |||||||
\(234\) | 7.42341 | − | 12.8577i | 0.485283 | − | 0.840536i | ||||
\(235\) | 1.16906 | − | 0.313248i | 0.0762609 | − | 0.0204341i | ||||
\(236\) | − | 0.617953i | − | 0.0402253i | ||||||
\(237\) | −28.2152 | −1.83277 | ||||||||
\(238\) | 9.23991 | − | 0.472892i | 0.598935 | − | 0.0306531i | ||||
\(239\) | 3.63475 | − | 6.29558i | 0.235113 | − | 0.407227i | −0.724193 | − | 0.689598i | \(-0.757787\pi\) |
0.959305 | + | 0.282371i | \(0.0911208\pi\) | |||||||
\(240\) | −11.9385 | + | 6.89267i | −0.770624 | + | 0.444920i | ||||
\(241\) | −6.57707 | + | 24.5460i | −0.423666 | + | 1.58114i | 0.343152 | + | 0.939280i | \(0.388506\pi\) |
−0.766818 | + | 0.641865i | \(0.778161\pi\) | |||||||
\(242\) | −9.02078 | −0.579878 | ||||||||
\(243\) | −5.50294 | + | 20.5372i | −0.353014 | + | 1.31746i | ||||
\(244\) | 4.52798 | + | 1.21327i | 0.289875 | + | 0.0776716i | ||||
\(245\) | −6.55499 | − | 1.75640i | −0.418783 | − | 0.112213i | ||||
\(246\) | 11.6810 | + | 6.74404i | 0.744755 | + | 0.429984i | ||||
\(247\) | − | 2.71371i | − | 0.172669i | ||||||
\(248\) | −8.08477 | − | 30.1728i | −0.513383 | − | 1.91597i | ||||
\(249\) | 7.14655 | + | 1.91491i | 0.452894 | + | 0.121353i | ||||
\(250\) | −10.6830 | − | 10.6830i | −0.675653 | − | 0.675653i | ||||
\(251\) | 2.84451 | + | 4.92683i | 0.179544 | + | 0.310979i | 0.941724 | − | 0.336386i | \(-0.109205\pi\) |
−0.762181 | + | 0.647364i | \(0.775871\pi\) | |||||||
\(252\) | −3.18671 | + | 0.853875i | −0.200744 | + | 0.0537891i | ||||
\(253\) | −6.32389 | − | 3.65110i | −0.397579 | − | 0.229543i | ||||
\(254\) | −21.8205 | −1.36914 | ||||||||
\(255\) | 14.6977 | + | 13.2665i | 0.920405 | + | 0.830780i | ||||
\(256\) | −10.3956 | −0.649728 | ||||||||
\(257\) | − | 24.2807i | − | 1.51459i | −0.653074 | − | 0.757294i | \(-0.726521\pi\) | ||
0.653074 | − | 0.757294i | \(-0.273479\pi\) | |||||||
\(258\) | −1.42746 | + | 21.4482i | −0.0888696 | + | 1.33531i | ||||
\(259\) | −7.26763 | −0.451589 | ||||||||
\(260\) | −1.77707 | − | 1.77707i | −0.110209 | − | 0.110209i | ||||
\(261\) | −0.127099 | − | 0.474338i | −0.00786720 | − | 0.0293608i | ||||
\(262\) | −0.168726 | + | 0.168726i | −0.0104239 | + | 0.0104239i | ||||
\(263\) | −3.83619 | − | 2.21482i | −0.236550 | − | 0.136572i | 0.377040 | − | 0.926197i | \(-0.376942\pi\) |
−0.613590 | + | 0.789625i | \(0.710275\pi\) | |||||||
\(264\) | 13.4882 | + | 7.78743i | 0.830143 | + | 0.479283i | ||||
\(265\) | −18.9002 | − | 5.06430i | −1.16103 | − | 0.311098i | ||||
\(266\) | 1.43067 | − | 1.43067i | 0.0877202 | − | 0.0877202i | ||||
\(267\) | −2.41695 | + | 9.02020i | −0.147915 | + | 0.552027i | ||||
\(268\) | 0.134447 | − | 0.232869i | 0.00821266 | − | 0.0142247i | ||||
\(269\) | −3.53116 | − | 3.53116i | −0.215299 | − | 0.215299i | 0.591215 | − | 0.806514i | \(-0.298648\pi\) |
−0.806514 | + | 0.591215i | \(0.798648\pi\) | |||||||
\(270\) | 5.02865 | + | 2.90329i | 0.306034 | + | 0.176689i | ||||
\(271\) | −1.59843 | − | 2.76857i | −0.0970978 | − | 0.168178i | 0.813384 | − | 0.581727i | \(-0.197623\pi\) |
−0.910482 | + | 0.413548i | \(0.864289\pi\) | |||||||
\(272\) | −3.64378 | − | 11.2613i | −0.220937 | − | 0.682819i | ||||
\(273\) | 7.18415 | + | 12.4433i | 0.434804 | + | 0.753103i | ||||
\(274\) | − | 8.16900i | − | 0.493507i | ||||||
\(275\) | −0.846814 | + | 3.16035i | −0.0510648 | + | 0.190576i | ||||
\(276\) | −2.29178 | − | 3.96947i | −0.137949 | − | 0.238934i | ||||
\(277\) | 14.3293 | − | 3.83951i | 0.860962 | − | 0.230694i | 0.198786 | − | 0.980043i | \(-0.436300\pi\) |
0.662176 | + | 0.749349i | \(0.269633\pi\) | |||||||
\(278\) | 5.68281 | + | 21.2085i | 0.340832 | + | 1.27200i | ||||
\(279\) | −28.7562 | + | 28.7562i | −1.72159 | + | 1.72159i | ||||
\(280\) | − | 10.0344i | − | 0.599673i | ||||||
\(281\) | −3.47217 | − | 2.00466i | −0.207132 | − | 0.119588i | 0.392846 | − | 0.919604i | \(-0.371491\pi\) |
−0.599978 | + | 0.800016i | \(0.704824\pi\) | |||||||
\(282\) | 0.564702 | + | 2.10750i | 0.0336275 | + | 0.125500i | ||||
\(283\) | 22.8391 | + | 6.11972i | 1.35764 | + | 0.363780i | 0.862951 | − | 0.505288i | \(-0.168614\pi\) |
0.494693 | + | 0.869068i | \(0.335280\pi\) | |||||||
\(284\) | −1.07537 | + | 4.01334i | −0.0638115 | + | 0.238148i | ||||
\(285\) | 4.32987 | 0.256479 | ||||||||
\(286\) | 1.86809 | − | 6.97182i | 0.110463 | − | 0.412252i | ||||
\(287\) | −6.44176 | + | 3.71915i | −0.380245 | + | 0.219535i | ||||
\(288\) | 5.05077 | + | 8.74819i | 0.297619 | + | 0.515492i | ||||
\(289\) | −13.7777 | + | 9.95862i | −0.810455 | + | 0.585801i | ||||
\(290\) | 0.278906 | 0.0163779 | ||||||||
\(291\) | 7.09337 | + | 4.09536i | 0.415821 | + | 0.240074i | ||||
\(292\) | 0.0940046 | − | 0.350830i | 0.00550120 | − | 0.0205308i | ||||
\(293\) | −2.75033 | −0.160676 | −0.0803381 | − | 0.996768i | \(-0.525600\pi\) | ||||
−0.0803381 | + | 0.996768i | \(0.525600\pi\) | |||||||
\(294\) | 3.16632 | − | 11.8169i | 0.184664 | − | 0.689175i | ||||
\(295\) | −0.633318 | − | 2.36358i | −0.0368732 | − | 0.137613i | ||||
\(296\) | 3.17626 | + | 11.8540i | 0.184616 | + | 0.688998i | ||||
\(297\) | − | 4.97022i | − | 0.288402i | ||||||
\(298\) | 20.7213 | + | 11.9634i | 1.20035 | + | 0.693024i | ||||
\(299\) | −8.04353 | + | 8.04353i | −0.465169 | + | 0.465169i | ||||
\(300\) | −1.45220 | + | 1.45220i | −0.0838427 | + | 0.0838427i | ||||
\(301\) | −9.84983 | − | 6.59579i | −0.567735 | − | 0.380175i | ||||
\(302\) | −0.262567 | −0.0151091 | ||||||||
\(303\) | 5.33065 | + | 5.33065i | 0.306238 | + | 0.306238i | ||||
\(304\) | −2.24162 | − | 1.29420i | −0.128566 | − | 0.0742273i | ||||
\(305\) | 18.5623 | 1.06287 | ||||||||
\(306\) | −13.6282 | + | 15.0984i | −0.779074 | + | 0.863120i | ||||
\(307\) | −0.486041 | + | 0.841848i | −0.0277398 | + | 0.0480468i | −0.879562 | − | 0.475784i | \(-0.842164\pi\) |
0.851822 | + | 0.523831i | \(0.175498\pi\) | |||||||
\(308\) | −1.38899 | + | 0.801931i | −0.0791448 | + | 0.0456943i | ||||
\(309\) | −25.2574 | − | 25.2574i | −1.43684 | − | 1.43684i | ||||
\(310\) | −11.5486 | − | 20.0028i | −0.655918 | − | 1.13608i | ||||
\(311\) | 10.5154 | − | 2.81760i | 0.596276 | − | 0.159772i | 0.0519559 | − | 0.998649i | \(-0.483454\pi\) |
0.544320 | + | 0.838878i | \(0.316788\pi\) | |||||||
\(312\) | 17.1561 | − | 17.1561i | 0.971270 | − | 0.971270i | ||||
\(313\) | 7.60327 | + | 28.3758i | 0.429762 | + | 1.60389i | 0.753298 | + | 0.657679i | \(0.228462\pi\) |
−0.323536 | + | 0.946216i | \(0.604872\pi\) | |||||||
\(314\) | 19.6035 | − | 11.3181i | 1.10629 | − | 0.638717i | ||||
\(315\) | −11.3136 | + | 6.53188i | −0.637447 | + | 0.368030i | ||||
\(316\) | −4.73911 | − | 1.26984i | −0.266596 | − | 0.0714341i | ||||
\(317\) | 20.3102 | − | 20.3102i | 1.14074 | − | 1.14074i | 0.152422 | − | 0.988316i | \(-0.451293\pi\) |
0.988316 | − | 0.152422i | \(-0.0487072\pi\) | |||||||
\(318\) | 9.12958 | − | 34.0720i | 0.511961 | − | 1.91067i | ||||
\(319\) | −0.119367 | − | 0.206749i | −0.00668325 | − | 0.0115757i | ||||
\(320\) | −15.6260 | + | 4.18698i | −0.873522 | + | 0.234060i | ||||
\(321\) | −31.2660 | − | 18.0514i | −1.74510 | − | 1.00753i | ||||
\(322\) | −8.48112 | −0.472635 | ||||||||
\(323\) | −0.777397 | + | 3.63546i | −0.0432555 | + | 0.202282i | ||||
\(324\) | −1.17758 | + | 2.03962i | −0.0654209 | + | 0.113312i | ||||
\(325\) | 4.41398 | + | 2.54841i | 0.244844 | + | 0.141361i | ||||
\(326\) | −0.711112 | + | 2.65390i | −0.0393848 | + | 0.146986i | ||||
\(327\) | 22.1044 | + | 38.2859i | 1.22238 | + | 2.11722i | ||||
\(328\) | 8.88150 | + | 8.88150i | 0.490399 | + | 0.490399i | ||||
\(329\) | −1.16223 | − | 0.311418i | −0.0640756 | − | 0.0171690i | ||||
\(330\) | 11.1239 | + | 2.98064i | 0.612351 | + | 0.164079i | ||||
\(331\) | 8.54218 | − | 4.93183i | 0.469521 | − | 0.271078i | −0.246518 | − | 0.969138i | \(-0.579287\pi\) |
0.716039 | + | 0.698060i | \(0.245953\pi\) | |||||||
\(332\) | 1.11417 | + | 0.643269i | 0.0611483 | + | 0.0353040i | ||||
\(333\) | 11.2974 | − | 11.2974i | 0.619096 | − | 0.619096i | ||||
\(334\) | −1.70203 | − | 6.35205i | −0.0931308 | − | 0.347569i | ||||
\(335\) | 0.275580 | − | 1.02848i | 0.0150565 | − | 0.0561918i | ||||
\(336\) | 13.7048 | 0.747658 | ||||||||
\(337\) | −5.98376 | + | 22.3317i | −0.325956 | + | 1.21649i | 0.587390 | + | 0.809304i | \(0.300155\pi\) |
−0.913347 | + | 0.407182i | \(0.866511\pi\) | |||||||
\(338\) | 4.23743 | + | 2.44648i | 0.230486 | + | 0.133071i | ||||
\(339\) | 17.7369 | − | 30.7213i | 0.963337 | − | 1.66855i | ||||
\(340\) | 1.87160 | + | 2.88976i | 0.101502 | + | 0.156719i | ||||
\(341\) | −9.88520 | + | 17.1217i | −0.535314 | + | 0.927191i | ||||
\(342\) | 4.44793i | 0.240516i | ||||||||
\(343\) | 13.7185 | + | 13.7185i | 0.740729 | + | 0.740729i | ||||
\(344\) | −6.45336 | + | 18.9483i | −0.347942 | + | 1.02163i | ||||
\(345\) | −12.8339 | − | 12.8339i | −0.690952 | − | 0.690952i | ||||
\(346\) | 11.2920 | − | 11.2920i | 0.607060 | − | 0.607060i | ||||
\(347\) | 3.93289 | + | 14.6777i | 0.211129 | + | 0.787943i | 0.987494 | + | 0.157659i | \(0.0503947\pi\) |
−0.776365 | + | 0.630284i | \(0.782939\pi\) | |||||||
\(348\) | − | 0.149852i | − | 0.00803290i | ||||||
\(349\) | −0.0915090 | − | 0.0528327i | −0.00489836 | − | 0.00282807i | 0.497549 | − | 0.867436i | \(-0.334234\pi\) |
−0.502447 | + | 0.864608i | \(0.667567\pi\) | |||||||
\(350\) | 0.983531 | + | 3.67059i | 0.0525719 | + | 0.196201i | ||||
\(351\) | −7.47873 | − | 2.00392i | −0.399185 | − | 0.106961i | ||||
\(352\) | 3.47249 | + | 3.47249i | 0.185084 | + | 0.185084i | ||||
\(353\) | 2.52275 | + | 4.36952i | 0.134272 | + | 0.232566i | 0.925319 | − | 0.379189i | \(-0.123797\pi\) |
−0.791047 | + | 0.611755i | \(0.790464\pi\) | |||||||
\(354\) | 4.26089 | − | 1.14170i | 0.226464 | − | 0.0606808i | ||||
\(355\) | 16.4525i | 0.873209i | ||||||||
\(356\) | −0.811918 | + | 1.40628i | −0.0430316 | + | 0.0745329i | ||||
\(357\) | −6.05970 | − | 18.7279i | −0.320713 | − | 0.991185i | ||||
\(358\) | −6.82580 | − | 11.8226i | −0.360755 | − | 0.624846i | ||||
\(359\) | −19.0083 | + | 10.9745i | −1.00322 | + | 0.579210i | −0.909200 | − | 0.416360i | \(-0.863306\pi\) |
−0.0940218 | + | 0.995570i | \(0.529972\pi\) | |||||||
\(360\) | 15.5984 | + | 15.5984i | 0.822109 | + | 0.822109i | ||||
\(361\) | −9.09350 | − | 15.7504i | −0.478605 | − | 0.828969i | ||||
\(362\) | −7.55662 | + | 28.2017i | −0.397167 | + | 1.48225i | ||||
\(363\) | 4.96723 | + | 18.5380i | 0.260712 | + | 0.972991i | ||||
\(364\) | 0.646653 | + | 2.41334i | 0.0338938 | + | 0.126494i | ||||
\(365\) | − | 1.43821i | − | 0.0752795i | ||||||
\(366\) | 33.4628i | 1.74913i | ||||||||
\(367\) | −5.22214 | − | 19.4893i | −0.272594 | − | 1.01733i | −0.957437 | − | 0.288643i | \(-0.906796\pi\) |
0.684843 | − | 0.728690i | \(-0.259871\pi\) | |||||||
\(368\) | 2.80818 | + | 10.4803i | 0.146387 | + | 0.546322i | ||||
\(369\) | 4.23226 | − | 15.7950i | 0.220323 | − | 0.822256i | ||||
\(370\) | 4.53711 | + | 7.85850i | 0.235873 | + | 0.408544i | ||||
\(371\) | 13.7551 | + | 13.7551i | 0.714129 | + | 0.714129i | ||||
\(372\) | −10.7472 | + | 6.20489i | −0.557216 | + | 0.321709i | ||||
\(373\) | 12.5496 | + | 21.7365i | 0.649793 | + | 1.12547i | 0.983172 | + | 0.182681i | \(0.0584776\pi\) |
−0.333380 | + | 0.942793i | \(0.608189\pi\) | |||||||
\(374\) | −4.49984 | + | 8.80474i | −0.232681 | + | 0.455282i | ||||
\(375\) | −16.0714 | + | 27.8364i | −0.829922 | + | 1.43747i | ||||
\(376\) | 2.03177i | 0.104780i | ||||||||
\(377\) | −0.359224 | + | 0.0962537i | −0.0185010 | + | 0.00495732i | ||||
\(378\) | −2.88633 | − | 4.99927i | −0.148457 | − | 0.257135i | ||||
\(379\) | 14.6078 | + | 14.6078i | 0.750352 | + | 0.750352i | 0.974545 | − | 0.224192i | \(-0.0719744\pi\) |
−0.224192 | + | 0.974545i | \(0.571974\pi\) | |||||||
\(380\) | 0.727258 | + | 0.194868i | 0.0373075 | + | 0.00999652i | ||||
\(381\) | 12.0153 | + | 44.8418i | 0.615564 | + | 2.29732i | ||||
\(382\) | 18.0218 | + | 10.4049i | 0.922078 | + | 0.532362i | ||||
\(383\) | − | 1.39259i | − | 0.0711578i | −0.999367 | − | 0.0355789i | \(-0.988672\pi\) | ||
0.999367 | − | 0.0355789i | \(-0.0113275\pi\) | |||||||
\(384\) | −4.07331 | − | 15.2018i | −0.207865 | − | 0.775764i | ||||
\(385\) | −4.49079 | + | 4.49079i | −0.228872 | + | 0.228872i | ||||
\(386\) | 9.61828 | + | 9.61828i | 0.489558 | + | 0.489558i | ||||
\(387\) | 25.5645 | − | 5.05837i | 1.29952 | − | 0.257131i | ||||
\(388\) | 1.00711 | + | 1.00711i | 0.0511283 | + | 0.0511283i | ||||
\(389\) | − | 13.2268i | − | 0.670624i | −0.942107 | − | 0.335312i | \(-0.891158\pi\) | ||
0.942107 | − | 0.335312i | \(-0.108842\pi\) | |||||||
\(390\) | 8.96998 | − | 15.5365i | 0.454213 | − | 0.786719i | ||||
\(391\) | 13.0799 | − | 8.47139i | 0.661477 | − | 0.428417i | ||||
\(392\) | 5.69614 | − | 9.86600i | 0.287698 | − | 0.498308i | ||||
\(393\) | 0.439644 | + | 0.253829i | 0.0221771 | + | 0.0128040i | ||||
\(394\) | −0.190240 | + | 0.709986i | −0.00958416 | + | 0.0357686i | ||||
\(395\) | −19.4278 | −0.977518 | ||||||||
\(396\) | 0.912569 | − | 3.40575i | 0.0458583 | − | 0.171146i | ||||
\(397\) | 2.95693 | + | 11.0354i | 0.148404 | + | 0.553852i | 0.999580 | + | 0.0289717i | \(0.00922328\pi\) |
−0.851176 | + | 0.524880i | \(0.824110\pi\) | |||||||
\(398\) | 2.89540 | − | 2.89540i | 0.145133 | − | 0.145133i | ||||
\(399\) | −3.72786 | − | 2.15228i | −0.186627 | − | 0.107749i | ||||
\(400\) | 4.21015 | − | 2.43073i | 0.210508 | − | 0.121537i | ||||
\(401\) | 5.90958 | + | 1.58347i | 0.295111 | + | 0.0790746i | 0.403337 | − | 0.915052i | \(-0.367850\pi\) |
−0.108226 | + | 0.994126i | \(0.534517\pi\) | |||||||
\(402\) | 1.85407 | + | 0.496796i | 0.0924726 | + | 0.0247779i | ||||
\(403\) | 21.7775 | + | 21.7775i | 1.08482 | + | 1.08482i | ||||
\(404\) | 0.655443 | + | 1.13526i | 0.0326095 | + | 0.0564814i | ||||
\(405\) | −2.41371 | + | 9.00809i | −0.119938 | + | 0.447616i | ||||
\(406\) | −0.240129 | − | 0.138638i | −0.0119174 | − | 0.00688050i | ||||
\(407\) | 3.88360 | − | 6.72659i | 0.192503 | − | 0.333424i | ||||
\(408\) | −27.8980 | + | 18.0686i | −1.38116 | + | 0.894531i | ||||
\(409\) | 9.04464 | 0.447229 | 0.223614 | − | 0.974678i | \(-0.428214\pi\) | ||||
0.223614 | + | 0.974678i | \(0.428214\pi\) | |||||||
\(410\) | 8.04306 | + | 4.64366i | 0.397218 | + | 0.229334i | ||||
\(411\) | −16.7875 | + | 4.49821i | −0.828068 | + | 0.221880i | ||||
\(412\) | −3.10558 | − | 5.37903i | −0.153001 | − | 0.265006i | ||||
\(413\) | −0.629617 | + | 2.34976i | −0.0309814 | + | 0.115624i | ||||
\(414\) | 13.1838 | − | 13.1838i | 0.647948 | − | 0.647948i | ||||
\(415\) | 4.92081 | + | 1.31853i | 0.241553 | + | 0.0647240i | ||||
\(416\) | 6.62514 | − | 3.82503i | 0.324824 | − | 0.187537i | ||||
\(417\) | 40.4549 | − | 23.3567i | 1.98109 | − | 1.14378i | ||||
\(418\) | 0.559658 | + | 2.08867i | 0.0273738 | + | 0.102160i | ||||
\(419\) | −3.69724 | + | 3.69724i | −0.180622 | + | 0.180622i | −0.791627 | − | 0.611005i | \(-0.790766\pi\) |
0.611005 | + | 0.791627i | \(0.290766\pi\) | |||||||
\(420\) | −3.85061 | + | 1.03177i | −0.187891 | + | 0.0503452i | ||||
\(421\) | 12.9058 | + | 22.3535i | 0.628990 | + | 1.08944i | 0.987755 | + | 0.156014i | \(0.0498645\pi\) |
−0.358765 | + | 0.933428i | \(0.616802\pi\) | |||||||
\(422\) | −5.93753 | − | 5.93753i | −0.289035 | − | 0.289035i | ||||
\(423\) | 2.29076 | − | 1.32257i | 0.111381 | − | 0.0643057i | ||||
\(424\) | 16.4239 | − | 28.4470i | 0.797614 | − | 1.38151i | ||||
\(425\) | −5.18321 | − | 4.67849i | −0.251422 | − | 0.226940i | ||||
\(426\) | −29.6594 | −1.43700 | ||||||||
\(427\) | −15.9815 | − | 9.22691i | −0.773398 | − | 0.446521i | ||||
\(428\) | −4.43912 | − | 4.43912i | −0.214573 | − | 0.214573i | ||||
\(429\) | −15.3559 | −0.741392 | ||||||||
\(430\) | −0.982887 | + | 14.7683i | −0.0473990 | + | 0.712192i | ||||
\(431\) | 14.9987 | − | 14.9987i | 0.722464 | − | 0.722464i | −0.246642 | − | 0.969107i | \(-0.579327\pi\) |
0.969107 | + | 0.246642i | \(0.0793273\pi\) | |||||||
\(432\) | −5.22199 | + | 5.22199i | −0.251243 | + | 0.251243i | ||||
\(433\) | 12.4709 | + | 7.20008i | 0.599313 | + | 0.346014i | 0.768771 | − | 0.639524i | \(-0.220868\pi\) |
−0.169458 | + | 0.985537i | \(0.554202\pi\) | |||||||
\(434\) | 22.9623i | 1.10223i | ||||||||
\(435\) | −0.153578 | − | 0.573160i | −0.00736350 | − | 0.0274809i | ||||
\(436\) | 1.98964 | + | 7.42545i | 0.0952866 | + | 0.355614i | ||||
\(437\) | 0.882027 | − | 3.29177i | 0.0421931 | − | 0.157467i | ||||
\(438\) | 2.59271 | 0.123884 | ||||||||
\(439\) | −1.26098 | + | 4.70606i | −0.0601835 | + | 0.224608i | −0.989467 | − | 0.144760i | \(-0.953759\pi\) |
0.929283 | + | 0.369368i | \(0.120426\pi\) | |||||||
\(440\) | 9.28742 | + | 5.36210i | 0.442761 | + | 0.255628i | ||||
\(441\) | −14.8315 | −0.706262 | ||||||||
\(442\) | 11.4343 | + | 10.3209i | 0.543874 | + | 0.490914i | ||||
\(443\) | −8.35059 | − | 14.4636i | −0.396748 | − | 0.687188i | 0.596574 | − | 0.802558i | \(-0.296528\pi\) |
−0.993323 | + | 0.115370i | \(0.963195\pi\) | |||||||
\(444\) | 4.22225 | − | 2.43771i | 0.200379 | − | 0.115689i | ||||
\(445\) | −1.66421 | + | 6.21093i | −0.0788912 | + | 0.294426i | ||||
\(446\) | 22.3897 | 1.06018 | ||||||||
\(447\) | 13.1752 | − | 49.1704i | 0.623164 | − | 2.32568i | ||||
\(448\) | 15.5347 | + | 4.16252i | 0.733947 | + | 0.196661i | ||||
\(449\) | 2.57986 | + | 9.62817i | 0.121751 | + | 0.454381i | 0.999703 | − | 0.0243674i | \(-0.00775715\pi\) |
−0.877952 | + | 0.478749i | \(0.841090\pi\) | |||||||
\(450\) | −7.23477 | − | 4.17700i | −0.341050 | − | 0.196905i | ||||
\(451\) | − | 7.94960i | − | 0.374332i | ||||||
\(452\) | 4.36178 | − | 4.36178i | 0.205161 | − | 0.205161i | ||||
\(453\) | 0.144581 | + | 0.539584i | 0.00679301 | + | 0.0253518i | ||||
\(454\) | −1.88032 | + | 0.503831i | −0.0882479 | + | 0.0236460i | ||||
\(455\) | 4.94670 | + | 8.56794i | 0.231905 | + | 0.401671i | ||||
\(456\) | −1.88128 | + | 7.02102i | −0.0880988 | + | 0.328789i | ||||
\(457\) | − | 29.1999i | − | 1.36591i | −0.730458 | − | 0.682957i | \(-0.760693\pi\) | ||
0.730458 | − | 0.682957i | \(-0.239307\pi\) | |||||||
\(458\) | 0.0396988 | + | 0.0687604i | 0.00185501 | + | 0.00321296i | ||||
\(459\) | 9.44492 | + | 4.82701i | 0.440851 | + | 0.225306i | ||||
\(460\) | −1.57802 | − | 2.73321i | −0.0735756 | − | 0.127437i | ||||
\(461\) | 18.2639 | + | 10.5446i | 0.850633 | + | 0.491113i | 0.860864 | − | 0.508835i | \(-0.169924\pi\) |
−0.0102316 | + | 0.999948i | \(0.503257\pi\) | |||||||
\(462\) | −8.09568 | − | 8.09568i | −0.376645 | − | 0.376645i | ||||
\(463\) | −6.58580 | + | 11.4069i | −0.306068 | + | 0.530125i | −0.977499 | − | 0.210942i | \(-0.932347\pi\) |
0.671431 | + | 0.741067i | \(0.265680\pi\) | |||||||
\(464\) | −0.0918089 | + | 0.342636i | −0.00426212 | + | 0.0159065i | ||||
\(465\) | −34.7472 | + | 34.7472i | −1.61136 | + | 1.61136i | ||||
\(466\) | 3.90335 | + | 1.04590i | 0.180819 | + | 0.0484503i | ||||
\(467\) | 16.4500 | + | 9.49741i | 0.761215 | + | 0.439488i | 0.829732 | − | 0.558162i | \(-0.188493\pi\) |
−0.0685169 | + | 0.997650i | \(0.521827\pi\) | |||||||
\(468\) | −4.75673 | − | 2.74630i | −0.219880 | − | 0.126948i | ||||
\(469\) | −0.748499 | + | 0.748499i | −0.0345625 | + | 0.0345625i | ||||
\(470\) | 0.388830 | + | 1.45113i | 0.0179354 | + | 0.0669358i | ||||
\(471\) | −34.0536 | − | 34.0536i | −1.56911 | − | 1.56911i | ||||
\(472\) | 4.10778 | 0.189076 | ||||||||
\(473\) | 11.3682 | − | 5.59197i | 0.522711 | − | 0.257119i | ||||
\(474\) | − | 35.0231i | − | 1.60866i | ||||||
\(475\) | −1.52695 | −0.0700611 | ||||||||
\(476\) | −0.174947 | − | 3.41831i | −0.00801868 | − | 0.156678i | ||||
\(477\) | −42.7642 | −1.95804 | ||||||||
\(478\) | 7.81460 | + | 4.51176i | 0.357431 | + | 0.206363i | ||||
\(479\) | −12.9278 | + | 3.46400i | −0.590688 | + | 0.158274i | −0.541768 | − | 0.840528i | \(-0.682245\pi\) |
−0.0489204 | + | 0.998803i | \(0.515578\pi\) | |||||||
\(480\) | 6.10303 | + | 10.5708i | 0.278564 | + | 0.482487i | ||||
\(481\) | −8.55573 | − | 8.55573i | −0.390108 | − | 0.390108i | ||||
\(482\) | −30.4685 | − | 8.16401i | −1.38780 | − | 0.371861i | ||||
\(483\) | 4.67007 | + | 17.4289i | 0.212496 | + | 0.793045i | ||||
\(484\) | 3.33725i | 0.151693i | ||||||||
\(485\) | 4.88420 | + | 2.81989i | 0.221780 | + | 0.128045i | ||||
\(486\) | −25.4925 | − | 6.83071i | −1.15637 | − | 0.309847i | ||||
\(487\) | −34.1445 | − | 9.14899i | −1.54724 | − | 0.414581i | −0.618640 | − | 0.785674i | \(-0.712316\pi\) |
−0.928595 | + | 0.371094i | \(0.878983\pi\) | |||||||
\(488\) | −8.06510 | + | 30.0994i | −0.365090 | + | 1.36253i | ||||
\(489\) | 5.84542 | 0.264339 | ||||||||
\(490\) | 2.18020 | − | 8.13661i | 0.0984913 | − | 0.367574i | ||||
\(491\) | 2.67050 | − | 1.54182i | 0.120518 | − | 0.0695811i | −0.438529 | − | 0.898717i | \(-0.644500\pi\) |
0.559047 | + | 0.829136i | \(0.311167\pi\) | |||||||
\(492\) | 2.49496 | − | 4.32140i | 0.112482 | − | 0.194824i | ||||
\(493\) | 0.508813 | − | 0.0260407i | 0.0229158 | − | 0.00117281i | ||||
\(494\) | 3.36848 | 0.151555 | ||||||||
\(495\) | − | 13.9617i | − | 0.627534i | ||||||
\(496\) | 28.3749 | − | 7.60304i | 1.27407 | − | 0.341386i | ||||
\(497\) | 8.17819 | − | 14.1650i | 0.366842 | − | 0.635389i | ||||
\(498\) | −2.37695 | + | 8.87089i | −0.106514 | + | 0.397514i | ||||
\(499\) | 26.0092 | + | 6.96914i | 1.16433 | + | 0.311982i | 0.788695 | − | 0.614785i | \(-0.210757\pi\) |
0.375637 | + | 0.926767i | \(0.377424\pi\) | |||||||
\(500\) | −3.95219 | + | 3.95219i | −0.176747 | + | 0.176747i | ||||
\(501\) | −12.1164 | + | 6.99543i | −0.541323 | + | 0.312533i | ||||
\(502\) | −6.11560 | + | 3.53084i | −0.272952 | + | 0.157589i | ||||
\(503\) | −42.2991 | − | 11.3340i | −1.88602 | − | 0.505358i | −0.999052 | − | 0.0435301i | \(-0.986140\pi\) |
−0.886970 | − | 0.461828i | \(-0.847194\pi\) | |||||||
\(504\) | −5.67606 | − | 21.1833i | −0.252832 | − | 0.943580i | ||||
\(505\) | 3.67046 | + | 3.67046i | 0.163333 | + | 0.163333i | ||||
\(506\) | 4.53205 | − | 7.84974i | 0.201474 | − | 0.348963i | ||||
\(507\) | 2.69427 | − | 10.0552i | 0.119657 | − | 0.446566i | ||||
\(508\) | 8.07253i | 0.358160i | ||||||||
\(509\) | 20.4769 | + | 35.4670i | 0.907622 | + | 1.57205i | 0.817358 | + | 0.576130i | \(0.195438\pi\) |
0.0902642 | + | 0.995918i | \(0.471229\pi\) | |||||||
\(510\) | −16.4675 | + | 18.2440i | −0.729193 | + | 0.807858i | ||||
\(511\) | −0.714904 | + | 1.23825i | −0.0316255 | + | 0.0547770i | ||||
\(512\) | − | 24.8229i | − | 1.09703i | ||||||
\(513\) | 2.24054 | − | 0.600350i | 0.0989220 | − | 0.0265061i | ||||
\(514\) | 30.1392 | 1.32939 | ||||||||
\(515\) | −17.3912 | − | 17.3912i | −0.766346 | − | 0.766346i | ||||
\(516\) | 7.93478 | + | 0.528089i | 0.349309 | + | 0.0232478i | ||||
\(517\) | 0.909292 | − | 0.909292i | 0.0399906 | − | 0.0399906i | ||||
\(518\) | − | 9.02119i | − | 0.396368i | ||||||
\(519\) | −29.4232 | − | 16.9875i | −1.29153 | − | 0.745667i | ||||
\(520\) | 11.8129 | − | 11.8129i | 0.518031 | − | 0.518031i | ||||
\(521\) | −2.98907 | − | 11.1554i | −0.130954 | − | 0.488726i | 0.869028 | − | 0.494763i | \(-0.164745\pi\) |
−0.999982 | + | 0.00603702i | \(0.998078\pi\) | |||||||
\(522\) | 0.588788 | − | 0.157765i | 0.0257706 | − | 0.00690520i | ||||
\(523\) | −7.52346 | − | 13.0310i | −0.328978 | − | 0.569806i | 0.653332 | − | 0.757072i | \(-0.273371\pi\) |
−0.982309 | + | 0.187266i | \(0.940037\pi\) | |||||||
\(524\) | 0.0624203 | + | 0.0624203i | 0.00272684 | + | 0.00272684i | ||||
\(525\) | 7.00159 | − | 4.04237i | 0.305574 | − | 0.176423i | ||||
\(526\) | 2.74923 | − | 4.76180i | 0.119872 | − | 0.207624i | ||||
\(527\) | −22.9359 | − | 35.4132i | −0.999106 | − | 1.54262i | ||||
\(528\) | −7.32342 | + | 12.6845i | −0.318711 | + | 0.552023i | ||||
\(529\) | 7.54731 | − | 4.35744i | 0.328144 | − | 0.189454i | ||||
\(530\) | 6.28624 | − | 23.4606i | 0.273057 | − | 1.01906i | ||||
\(531\) | −2.67395 | − | 4.63141i | −0.116039 | − | 0.200986i | ||||
\(532\) | −0.529279 | − | 0.529279i | −0.0229471 | − | 0.0229471i | ||||
\(533\) | −11.9618 | − | 3.20516i | −0.518124 | − | 0.138831i | ||||
\(534\) | −11.1966 | − | 3.00013i | −0.484525 | − | 0.129828i | ||||
\(535\) | −21.5284 | − | 12.4294i | −0.930755 | − | 0.537372i | ||||
\(536\) | 1.54797 | + | 0.893724i | 0.0668623 | + | 0.0386030i | ||||
\(537\) | −20.5373 | + | 20.5373i | −0.886249 | + | 0.886249i | ||||
\(538\) | 4.38318 | − | 4.38318i | 0.188972 | − | 0.188972i | ||||
\(539\) | −6.96463 | + | 1.86617i | −0.299988 | + | 0.0803815i | ||||
\(540\) | 1.07408 | − | 1.86035i | 0.0462209 | − | 0.0800569i | ||||
\(541\) | 1.21075 | − | 4.51857i | 0.0520541 | − | 0.194268i | −0.935002 | − | 0.354641i | \(-0.884603\pi\) |
0.987057 | + | 0.160373i | \(0.0512697\pi\) | |||||||
\(542\) | 3.43658 | − | 1.98411i | 0.147614 | − | 0.0852247i | ||||
\(543\) | 62.1163 | 2.66566 | ||||||||
\(544\) | −9.97121 | + | 3.22634i | −0.427512 | + | 0.138328i | ||||
\(545\) | 15.2202 | + | 26.3621i | 0.651960 | + | 1.12923i | ||||
\(546\) | −15.4457 | + | 8.91757i | −0.661014 | + | 0.381637i | ||||
\(547\) | −34.4994 | + | 9.24409i | −1.47509 | + | 0.395249i | −0.904673 | − | 0.426107i | \(-0.859885\pi\) |
−0.570416 | + | 0.821356i | \(0.693218\pi\) | |||||||
\(548\) | −3.02213 | −0.129099 | ||||||||
\(549\) | 39.1861 | − | 10.4999i | 1.67242 | − | 0.448124i | ||||
\(550\) | −3.92290 | − | 1.05114i | −0.167273 | − | 0.0448206i | ||||
\(551\) | 0.0787826 | − | 0.0787826i | 0.00335625 | − | 0.00335625i | ||||
\(552\) | 26.3867 | − | 15.2344i | 1.12309 | − | 0.648418i | ||||
\(553\) | 16.7266 | + | 9.65713i | 0.711289 | + | 0.410663i | ||||
\(554\) | 4.76593 | + | 17.7867i | 0.202485 | + | 0.755684i | ||||
\(555\) | 13.6511 | − | 13.6511i | 0.579458 | − | 0.579458i | ||||
\(556\) | 7.84611 | − | 2.10236i | 0.332749 | − | 0.0891599i | ||||
\(557\) | 12.8069 | 0.542648 | 0.271324 | − | 0.962488i | \(-0.412539\pi\) | ||||
0.271324 | + | 0.962488i | \(0.412539\pi\) | |||||||
\(558\) | −35.6946 | − | 35.6946i | −1.51107 | − | 1.51107i | ||||
\(559\) | −3.83078 | − | 19.3604i | −0.162025 | − | 0.818858i | ||||
\(560\) | 9.43654 | 0.398767 | ||||||||
\(561\) | 20.5718 | + | 4.39902i | 0.868542 | + | 0.185727i | ||||
\(562\) | 2.48835 | − | 4.30995i | 0.104965 | − | 0.181804i | ||||
\(563\) | 2.15301i | 0.0907387i | 0.998970 | + | 0.0453694i | \(0.0144465\pi\) | ||||
−0.998970 | + | 0.0453694i | \(0.985554\pi\) | |||||||
\(564\) | 0.779670 | − | 0.208912i | 0.0328300 | − | 0.00879678i | ||||
\(565\) | 12.2129 | − | 21.1534i | 0.513800 | − | 0.889928i | ||||
\(566\) | −7.59631 | + | 28.3498i | −0.319297 | + | 1.19163i | ||||
\(567\) | 6.55585 | − | 6.55585i | 0.275320 | − | 0.275320i | ||||
\(568\) | −26.6783 | − | 7.14843i | −1.11940 | − | 0.299941i | ||||
\(569\) | 14.9229 | + | 8.61574i | 0.625600 | + | 0.361191i | 0.779046 | − | 0.626967i | \(-0.215704\pi\) |
−0.153446 | + | 0.988157i | \(0.549037\pi\) | |||||||
\(570\) | 5.37459i | 0.225117i | ||||||||
\(571\) | −1.10769 | − | 4.13394i | −0.0463552 | − | 0.173000i | 0.938867 | − | 0.344279i | \(-0.111877\pi\) |
−0.985223 | + | 0.171279i | \(0.945210\pi\) | |||||||
\(572\) | −2.57923 | − | 0.691103i | −0.107843 | − | 0.0288965i | ||||
\(573\) | 11.4588 | − | 42.7648i | 0.478698 | − | 1.78653i | ||||
\(574\) | −4.61653 | − | 7.99606i | −0.192690 | − | 0.333749i | ||||
\(575\) | 4.52592 | + | 4.52592i | 0.188744 | + | 0.188744i | ||||
\(576\) | −30.6191 | + | 17.6780i | −1.27580 | + | 0.736582i | ||||
\(577\) | 12.7081 | + | 22.0111i | 0.529046 | + | 0.916335i | 0.999426 | + | 0.0338710i | \(0.0107835\pi\) |
−0.470380 | + | 0.882464i | \(0.655883\pi\) | |||||||
\(578\) | −12.3615 | − | 17.1021i | −0.514170 | − | 0.711353i | ||||
\(579\) | 14.4696 | − | 25.0621i | 0.601336 | − | 1.04154i | ||||
\(580\) | − | 0.103182i | − | 0.00428439i | ||||||
\(581\) | −3.58123 | − | 3.58123i | −0.148575 | − | 0.148575i | ||||
\(582\) | −5.08351 | + | 8.80489i | −0.210718 | + | 0.364975i | ||||
\(583\) | −20.0814 | + | 5.38079i | −0.831686 | + | 0.222849i | ||||
\(584\) | 2.33211 | + | 0.624887i | 0.0965034 | + | 0.0258580i | ||||
\(585\) | −21.0083 | − | 5.62917i | −0.868588 | − | 0.232737i | ||||
\(586\) | − | 3.41394i | − | 0.141029i | ||||||
\(587\) | −0.373838 | + | 0.215836i | −0.0154300 | + | 0.00890849i | −0.507695 | − | 0.861537i | \(-0.669502\pi\) |
0.492265 | + | 0.870445i | \(0.336169\pi\) | |||||||
\(588\) | −4.37167 | − | 1.17138i | −0.180284 | − | 0.0483071i | ||||
\(589\) | −8.91233 | − | 2.38805i | −0.367226 | − | 0.0983980i | ||||
\(590\) | 2.93387 | − | 0.786128i | 0.120785 | − | 0.0323644i | ||||
\(591\) | 1.56380 | 0.0643260 | ||||||||
\(592\) | −11.1476 | + | 2.98700i | −0.458165 | + | 0.122765i | ||||
\(593\) | 1.80595 | − | 1.04267i | 0.0741615 | − | 0.0428171i | −0.462461 | − | 0.886640i | \(-0.653033\pi\) |
0.536622 | + | 0.843823i | \(0.319700\pi\) | |||||||
\(594\) | 6.16946 | 0.253136 | ||||||||
\(595\) | −4.17246 | − | 12.8952i | −0.171054 | − | 0.528653i | ||||
\(596\) | 4.42589 | − | 7.66586i | 0.181291 | − | 0.314006i | ||||
\(597\) | −7.54446 | − | 4.35580i | −0.308774 | − | 0.178271i | ||||
\(598\) | −9.98430 | − | 9.98430i | −0.408288 | − | 0.408288i | ||||
\(599\) | 12.5405 | − | 21.7208i | 0.512391 | − | 0.887488i | −0.487505 | − | 0.873120i | \(-0.662093\pi\) |
0.999897 | − | 0.0143680i | \(-0.00457363\pi\) | |||||||
\(600\) | −9.65335 | − | 9.65335i | −0.394096 | − | 0.394096i | ||||
\(601\) | −7.06532 | + | 7.06532i | −0.288201 | + | 0.288201i | −0.836368 | − | 0.548168i | \(-0.815326\pi\) |
0.548168 | + | 0.836368i | \(0.315326\pi\) | |||||||
\(602\) | 8.18724 | − | 12.2264i | 0.333687 | − | 0.498312i | ||||
\(603\) | − | 2.32706i | − | 0.0947654i | ||||||
\(604\) | 0.0971371i | 0.00395245i | ||||||||
\(605\) | 3.42023 | + | 12.7645i | 0.139052 | + | 0.518949i | ||||
\(606\) | −6.61685 | + | 6.61685i | −0.268791 | + | 0.268791i | ||||
\(607\) | −29.8425 | + | 7.99627i | −1.21127 | + | 0.324558i | −0.807260 | − | 0.590197i | \(-0.799050\pi\) |
−0.404009 | + | 0.914755i | \(0.632384\pi\) | |||||||
\(608\) | −1.14593 | + | 1.98481i | −0.0464736 | + | 0.0804947i | ||||
\(609\) | −0.152680 | + | 0.569811i | −0.00618692 | + | 0.0230899i | ||||
\(610\) | 23.0411i | 0.932906i | ||||||||
\(611\) | −1.00161 | − | 1.73483i | −0.0405206 | − | 0.0701837i | ||||
\(612\) | 5.58568 | + | 5.04177i | 0.225788 | + | 0.203802i | ||||
\(613\) | 29.6381 | 1.19707 | 0.598535 | − | 0.801096i | \(-0.295750\pi\) | ||||
0.598535 | + | 0.801096i | \(0.295750\pi\) | |||||||
\(614\) | −1.04497 | − | 0.603315i | −0.0421716 | − | 0.0243478i | ||||
\(615\) | 5.11400 | − | 19.0857i | 0.206216 | − | 0.769610i | ||||
\(616\) | −5.33076 | − | 9.23315i | −0.214783 | − | 0.372014i | ||||
\(617\) | −0.126305 | + | 0.471375i | −0.00508483 | + | 0.0189768i | −0.968422 | − | 0.249318i | \(-0.919794\pi\) |
0.963337 | + | 0.268295i | \(0.0864602\pi\) | |||||||
\(618\) | 31.3516 | − | 31.3516i | 1.26115 | − | 1.26115i | ||||
\(619\) | −43.9760 | − | 11.7833i | −1.76755 | − | 0.473612i | −0.779321 | − | 0.626624i | \(-0.784436\pi\) |
−0.988224 | + | 0.153012i | \(0.951103\pi\) | |||||||
\(620\) | −7.40006 | + | 4.27243i | −0.297194 | + | 0.171585i | ||||
\(621\) | −8.42048 | − | 4.86157i | −0.337902 | − | 0.195088i | ||||
\(622\) | 3.49744 | + | 13.0526i | 0.140235 | + | 0.523363i | ||||
\(623\) | 4.52015 | − | 4.52015i | 0.181096 | − | 0.181096i | ||||
\(624\) | 16.1338 | + | 16.1338i | 0.645869 | + | 0.645869i | ||||
\(625\) | −6.83236 | + | 11.8340i | −0.273294 | + | 0.473360i | ||||
\(626\) | −35.2224 | + | 9.43782i | −1.40777 | + | 0.377211i | ||||
\(627\) | 3.98411 | − | 2.30023i | 0.159110 | − | 0.0918622i | ||||
\(628\) | −4.18714 | − | 7.25234i | −0.167085 | − | 0.289400i | ||||
\(629\) | 9.01084 | + | 13.9128i | 0.359286 | + | 0.554738i | ||||
\(630\) | −8.10792 | − | 14.0433i | −0.323027 | − | 0.559500i | ||||
\(631\) | −12.9767 | + | 7.49210i | −0.516594 | + | 0.298256i | −0.735540 | − | 0.677481i | \(-0.763072\pi\) |
0.218946 | + | 0.975737i | \(0.429738\pi\) | |||||||
\(632\) | 8.44115 | − | 31.5028i | 0.335771 | − | 1.25311i | ||||
\(633\) | −8.93234 | + | 15.4713i | −0.355029 | + | 0.614928i | ||||
\(634\) | 25.2108 | + | 25.2108i | 1.00125 | + | 1.00125i | ||||
\(635\) | 8.27325 | + | 30.8762i | 0.328314 | + | 1.22528i | ||||
\(636\) | −12.6050 | − | 3.37750i | −0.499820 | − | 0.133926i | ||||
\(637\) | 11.2321i | 0.445034i | ||||||||
\(638\) | 0.256635 | − | 0.148168i | 0.0101603 | − | 0.00586603i | ||||
\(639\) | 9.30648 | + | 34.7323i | 0.368159 | + | 1.37399i | ||||
\(640\) | −2.80471 | − | 10.4673i | −0.110866 | − | 0.413757i | ||||
\(641\) | −9.84020 | − | 9.84020i | −0.388665 | − | 0.388665i | 0.485546 | − | 0.874211i | \(-0.338621\pi\) |
−0.874211 | + | 0.485546i | \(0.838621\pi\) | |||||||
\(642\) | 22.4069 | − | 38.8100i | 0.884331 | − | 1.53171i | ||||
\(643\) | 15.5568 | + | 15.5568i | 0.613501 | + | 0.613501i | 0.943856 | − | 0.330356i | \(-0.107169\pi\) |
−0.330356 | + | 0.943856i | \(0.607169\pi\) | |||||||
\(644\) | 3.13760i | 0.123639i | ||||||||
\(645\) | 30.8905 | − | 6.11222i | 1.21631 | − | 0.240668i | ||||
\(646\) | −4.51264 | − | 0.964970i | −0.177547 | − | 0.0379663i | ||||
\(647\) | 13.1594 | 0.517349 | 0.258675 | − | 0.965964i | \(-0.416714\pi\) | ||||
0.258675 | + | 0.965964i | \(0.416714\pi\) | |||||||
\(648\) | −13.5582 | − | 7.82783i | −0.532616 | − | 0.307506i | ||||
\(649\) | −1.83839 | − | 1.83839i | −0.0721630 | − | 0.0721630i | ||||
\(650\) | −3.16330 | + | 5.47900i | −0.124075 | + | 0.214904i | ||||
\(651\) | 47.1882 | − | 12.6440i | 1.84945 | − | 0.495559i | ||||
\(652\) | 0.981814 | + | 0.263076i | 0.0384508 | + | 0.0103029i | ||||
\(653\) | 22.5036 | − | 22.5036i | 0.880632 | − | 0.880632i | −0.112967 | − | 0.993599i | \(-0.536035\pi\) |
0.993599 | + | 0.112967i | \(0.0360353\pi\) | |||||||
\(654\) | −47.5237 | + | 27.4378i | −1.85832 | + | 1.07290i | ||||
\(655\) | 0.302720 | + | 0.174776i | 0.0118283 | + | 0.00682905i | ||||
\(656\) | −8.35229 | + | 8.35229i | −0.326102 | + | 0.326102i | ||||
\(657\) | −0.813535 | − | 3.03616i | −0.0317390 | − | 0.118452i | ||||
\(658\) | 0.386558 | − | 1.44265i | 0.0150696 | − | 0.0562405i | ||||
\(659\) | 10.4037 | + | 18.0198i | 0.405272 | + | 0.701951i | 0.994353 | − | 0.106122i | \(-0.0338436\pi\) |
−0.589081 | + | 0.808074i | \(0.700510\pi\) | |||||||
\(660\) | 1.10269 | − | 4.11530i | 0.0429222 | − | 0.160188i | ||||
\(661\) | 15.2805i | 0.594343i | 0.954824 | + | 0.297171i | \(0.0960433\pi\) | ||||
−0.954824 | + | 0.297171i | \(0.903957\pi\) | |||||||
\(662\) | 6.12180 | + | 10.6033i | 0.237931 | + | 0.412108i | ||||
\(663\) | 14.9135 | − | 29.1809i | 0.579191 | − | 1.13329i | ||||
\(664\) | −4.27607 | + | 7.40637i | −0.165944 | + | 0.287423i | ||||
\(665\) | −2.56685 | − | 1.48197i | −0.0995381 | − | 0.0574684i | ||||
\(666\) | 14.0233 | + | 14.0233i | 0.543393 | + | 0.543393i | ||||
\(667\) | −0.467029 | −0.0180834 | ||||||||
\(668\) | −2.34995 | + | 0.629667i | −0.0909222 | + | 0.0243625i | ||||
\(669\) | −12.3287 | − | 46.0115i | −0.476657 | − | 1.77891i | ||||
\(670\) | 1.27663 | + | 0.342073i | 0.0493207 | + | 0.0132154i | ||||
\(671\) | 17.0800 | − | 9.86115i | 0.659367 | − | 0.380685i | ||||
\(672\) | − | 12.1347i | − | 0.468108i | ||||||
\(673\) | −34.3036 | − | 9.19161i | −1.32230 | − | 0.354311i | −0.472464 | − | 0.881350i | \(-0.656635\pi\) |
−0.849841 | + | 0.527039i | \(0.823302\pi\) | |||||||
\(674\) | −27.7200 | − | 7.42755i | −1.06773 | − | 0.286099i | ||||
\(675\) | −1.12756 | + | 4.20812i | −0.0433999 | + | 0.161971i | ||||
\(676\) | 0.905077 | − | 1.56764i | 0.0348107 | − | 0.0602938i | ||||
\(677\) | 2.22505 | + | 2.22505i | 0.0855158 | + | 0.0855158i | 0.748571 | − | 0.663055i | \(-0.230740\pi\) |
−0.663055 | + | 0.748571i | \(0.730740\pi\) | |||||||
\(678\) | 38.1338 | + | 22.0166i | 1.46452 | + | 0.845541i | ||||
\(679\) | −2.80342 | − | 4.85566i | −0.107585 | − | 0.186343i | ||||
\(680\) | −19.2094 | + | 12.4413i | −0.736647 | + | 0.477102i | ||||
\(681\) | 2.07077 | + | 3.58669i | 0.0793522 | + | 0.137442i | ||||
\(682\) | −21.2529 | − | 12.2703i | −0.813814 | − | 0.469856i | ||||
\(683\) | 47.6086 | − | 12.7567i | 1.82169 | − | 0.488121i | 0.824698 | − | 0.565574i | \(-0.191345\pi\) |
0.996996 | + | 0.0774527i | \(0.0246787\pi\) | |||||||
\(684\) | 1.64551 | 0.0629178 | ||||||||
\(685\) | −11.5592 | + | 3.09727i | −0.441654 | + | 0.118341i | ||||
\(686\) | −17.0285 | + | 17.0285i | −0.650153 | + | 0.650153i | ||||
\(687\) | 0.119445 | − | 0.119445i | 0.00455710 | − | 0.00455710i | ||||
\(688\) | −17.8193 | − | 6.06883i | −0.679354 | − | 0.231372i | ||||
\(689\) | 32.3860i | 1.23381i | ||||||||
\(690\) | 15.9305 | − | 15.9305i | 0.606463 | − | 0.606463i | ||||
\(691\) | 8.08169 | + | 30.1613i | 0.307442 | + | 1.14739i | 0.930823 | + | 0.365471i | \(0.119092\pi\) |
−0.623381 | + | 0.781919i | \(0.714241\pi\) | |||||||
\(692\) | −4.17747 | − | 4.17747i | −0.158804 | − | 0.158804i | ||||
\(693\) | −6.94008 | + | 12.0206i | −0.263632 | + | 0.456624i | ||||
\(694\) | −18.2193 | + | 4.88183i | −0.691593 | + | 0.185312i | ||||
\(695\) | 27.8555 | − | 16.0824i | 1.05662 | − | 0.610040i | ||||
\(696\) | 0.996126 | 0.0377581 | ||||||||
\(697\) | 15.1066 | + | 7.72054i | 0.572205 | + | 0.292436i | ||||
\(698\) | 0.0655804 | − | 0.113589i | 0.00248226 | − | 0.00429939i | ||||
\(699\) | − | 8.59741i | − | 0.325184i | ||||||
\(700\) | 1.35794 | − | 0.363858i | 0.0513252 | − | 0.0137525i | ||||
\(701\) | 3.99201 | + | 6.91436i | 0.150776 | + | 0.261152i | 0.931513 | − | 0.363708i | \(-0.118489\pi\) |
−0.780737 | + | 0.624860i | \(0.785156\pi\) | |||||||
\(702\) | 2.48743 | − | 9.28322i | 0.0938821 | − | 0.350373i | ||||
\(703\) | 3.50139 | + | 0.938193i | 0.132057 | + | 0.0353846i | ||||
\(704\) | −12.1539 | + | 12.1539i | −0.458068 | + | 0.458068i | ||||
\(705\) | 2.76801 | − | 1.59811i | 0.104249 | − | 0.0601884i | ||||
\(706\) | −5.42382 | + | 3.13144i | −0.204128 | + | 0.117853i | ||||
\(707\) | −1.33563 | − | 4.98464i | −0.0502316 | − | 0.187467i | ||||
\(708\) | −0.422374 | − | 1.57632i | −0.0158738 | − | 0.0592417i | ||||
\(709\) | 15.5967 | + | 15.5967i | 0.585747 | + | 0.585747i | 0.936477 | − | 0.350729i | \(-0.114066\pi\) |
−0.350729 | + | 0.936477i | \(0.614066\pi\) | |||||||
\(710\) | −20.4222 | −0.766433 | ||||||||
\(711\) | −41.0133 | + | 10.9895i | −1.53812 | + | 0.412137i | ||||
\(712\) | −9.34814 | − | 5.39715i | −0.350336 | − | 0.202267i | ||||
\(713\) | 19.3382 | + | 33.4947i | 0.724221 | + | 1.25439i | ||||
\(714\) | 23.2466 | − | 7.52181i | 0.869983 | − | 0.281497i | ||||
\(715\) | −10.5735 | −0.395425 | ||||||||
\(716\) | −4.37379 | + | 2.52521i | −0.163456 | + | 0.0943716i | ||||
\(717\) | 4.96874 | − | 18.5436i | 0.185561 | − | 0.692523i | ||||
\(718\) | −13.6224 | − | 23.5947i | −0.508385 | − | 0.880548i | ||||
\(719\) | −23.8031 | + | 6.37801i | −0.887704 | + | 0.237860i | −0.673728 | − | 0.738979i | \(-0.735308\pi\) |
−0.213976 | + | 0.976839i | \(0.568641\pi\) | |||||||
\(720\) | −14.6690 | + | 14.6690i | −0.546681 | + | 0.546681i | ||||
\(721\) | 6.32841 | + | 23.6179i | 0.235682 | + | 0.879578i | ||||
\(722\) | 19.5507 | − | 11.2876i | 0.727603 | − | 0.420082i | ||||
\(723\) | 67.1091i | 2.49581i | ||||||||
\(724\) | 10.4332 | + | 2.79558i | 0.387748 | + | 0.103897i | ||||
\(725\) | 0.0541599 | + | 0.202128i | 0.00201145 | + | 0.00750683i | ||||
\(726\) | −23.0109 | + | 6.16575i | −0.854014 | + | 0.228832i | ||||
\(727\) | −38.2448 | −1.41842 | −0.709211 | − | 0.704996i | \(-0.750949\pi\) | ||||
−0.709211 | + | 0.704996i | \(0.750949\pi\) | |||||||
\(728\) | −16.0425 | + | 4.29857i | −0.594574 | + | 0.159316i | ||||
\(729\) | 40.7632i | 1.50975i | ||||||||
\(730\) | 1.78523 | 0.0660743 | ||||||||
\(731\) | −0.414218 | + | 27.0338i | −0.0153204 | + | 0.999883i | ||||
\(732\) | 12.3796 | 0.457563 | ||||||||
\(733\) | 24.0861i | 0.889642i | 0.895620 | + | 0.444821i | \(0.146733\pi\) | ||||
−0.895620 | + | 0.444821i | \(0.853267\pi\) | |||||||
\(734\) | 24.1917 | − | 6.48216i | 0.892934 | − | 0.239261i | ||||
\(735\) | −17.9215 | −0.661043 | ||||||||
\(736\) | 9.27962 | − | 2.48647i | 0.342051 | − | 0.0916524i | ||||
\(737\) | −0.292802 | − | 1.09275i | −0.0107855 | − | 0.0402520i | ||||
\(738\) | 19.6061 | + | 5.25344i | 0.721711 | + | 0.193382i | ||||
\(739\) | − | 37.2339i | − | 1.36967i | −0.728698 | − | 0.684836i | \(-0.759874\pi\) | ||
0.728698 | − | 0.684836i | \(-0.240126\pi\) | |||||||
\(740\) | 2.90726 | − | 1.67851i | 0.106873 | − | 0.0617032i | ||||
\(741\) | −1.85483 | − | 6.92233i | −0.0681390 | − | 0.254298i | ||||
\(742\) | −17.0740 | + | 17.0740i | −0.626805 | + | 0.626805i | ||||
\(743\) | 34.9770 | − | 9.37207i | 1.28318 | − | 0.343828i | 0.448115 | − | 0.893976i | \(-0.352095\pi\) |
0.835067 | + | 0.550148i | \(0.185429\pi\) | |||||||
\(744\) | −41.2465 | − | 71.4410i | −1.51217 | − | 2.61915i | ||||
\(745\) | 9.07187 | − | 33.8567i | 0.332368 | − | 1.24041i | ||||
\(746\) | −26.9812 | + | 15.5776i | −0.987851 | + | 0.570336i | ||||
\(747\) | 11.1340 | 0.407371 | ||||||||
\(748\) | 3.25732 | + | 1.66472i | 0.119099 | + | 0.0608681i | ||||
\(749\) | 12.3568 | + | 21.4026i | 0.451508 | + | 0.782035i | ||||
\(750\) | −34.5529 | − | 19.9491i | −1.26169 | − | 0.728439i | ||||
\(751\) | 8.10708 | − | 2.17229i | 0.295832 | − | 0.0792679i | −0.107851 | − | 0.994167i | \(-0.534397\pi\) |
0.403682 | + | 0.914899i | \(0.367730\pi\) | |||||||
\(752\) | −1.91071 | −0.0696763 | ||||||||
\(753\) | 10.6235 | + | 10.6235i | 0.387142 | + | 0.387142i | ||||
\(754\) | −0.119478 | − | 0.445899i | −0.00435114 | − | 0.0162387i | ||||
\(755\) | 0.0995524 | + | 0.371534i | 0.00362308 | + | 0.0135215i | ||||
\(756\) | −1.84948 | + | 1.06780i | −0.0672651 | + | 0.0388355i | ||||
\(757\) | 37.3420 | − | 21.5594i | 1.35722 | − | 0.783591i | 0.367971 | − | 0.929837i | \(-0.380053\pi\) |
0.989248 | + | 0.146247i | \(0.0467193\pi\) | |||||||
\(758\) | −18.1324 | + | 18.1324i | −0.658600 | + | 0.658600i | ||||
\(759\) | −18.6270 | − | 4.99108i | −0.676116 | − | 0.181165i | ||||
\(760\) | −1.29537 | + | 4.83438i | −0.0469879 | + | 0.175361i | ||||
\(761\) | 17.2665 | + | 29.9064i | 0.625910 | + | 1.08411i | 0.988364 | + | 0.152106i | \(0.0486054\pi\) |
−0.362455 | + | 0.932001i | \(0.618061\pi\) | |||||||
\(762\) | −55.6614 | + | 14.9144i | −2.01640 | + | 0.540293i | ||||
\(763\) | − | 30.2624i | − | 1.09557i | ||||||
\(764\) | 3.84931 | − | 6.66720i | 0.139263 | − | 0.241211i | ||||
\(765\) | 26.5315 | + | 13.5595i | 0.959249 | + | 0.490243i | ||||
\(766\) | 1.72859 | 0.0624566 | ||||||||
\(767\) | −3.50744 | + | 2.02502i | −0.126646 | + | 0.0731193i | ||||
\(768\) | −26.5180 | + | 7.10547i | −0.956885 | + | 0.256397i | ||||
\(769\) | 12.6271 | − | 21.8707i | 0.455343 | − | 0.788678i | −0.543364 | − | 0.839497i | \(-0.682850\pi\) |
0.998708 | + | 0.0508190i | \(0.0161832\pi\) | |||||||
\(770\) | −5.57434 | − | 5.57434i | −0.200885 | − | 0.200885i | ||||
\(771\) | −16.5960 | − | 61.9370i | −0.597689 | − | 2.23061i | ||||
\(772\) | 3.55829 | − | 3.55829i | 0.128066 | − | 0.128066i | ||||
\(773\) | 53.7401i | 1.93290i | 0.256858 | + | 0.966449i | \(0.417313\pi\) | ||||
−0.256858 | + | 0.966449i | \(0.582687\pi\) | |||||||
\(774\) | 6.27887 | + | 31.7328i | 0.225689 | + | 1.14061i | ||||
\(775\) | 12.2538 | − | 12.2538i | 0.440168 | − | 0.440168i | ||||
\(776\) | −6.69468 | + | 6.69468i | −0.240325 | + | 0.240325i | ||||
\(777\) | −18.5388 | + | 4.96746i | −0.665076 | + | 0.178207i | ||||
\(778\) | 16.4182 | 0.588620 | ||||||||
\(779\) | 3.58361 | − | 0.960227i | 0.128396 | − | 0.0344037i | ||||
\(780\) | −5.74773 | − | 3.31845i | −0.205802 | − | 0.118820i | ||||
\(781\) | 8.74034 | + | 15.1387i | 0.312754 | + | 0.541706i | ||||
\(782\) | 10.5154 | + | 16.2358i | 0.376030 | + | 0.580591i | ||||
\(783\) | −0.158941 | − | 0.275294i | −0.00568009 | − | 0.00983820i | ||||
\(784\) | 9.27813 | + | 5.35673i | 0.331362 | + | 0.191312i | ||||
\(785\) | −23.4478 | − | 23.4478i | −0.836889 | − | 0.836889i | ||||
\(786\) | −0.315074 | + | 0.545723i | −0.0112383 | + | 0.0194653i | ||||
\(787\) | −2.17281 | + | 8.10905i | −0.0774524 | + | 0.289056i | −0.993778 | − | 0.111377i | \(-0.964474\pi\) |
0.916326 | + | 0.400434i | \(0.131140\pi\) | |||||||
\(788\) | 0.262660 | + | 0.0703796i | 0.00935688 | + | 0.00250717i | ||||
\(789\) | −11.2995 | − | 3.02769i | −0.402272 | − | 0.107788i | ||||
\(790\) | − | 24.1154i | − | 0.857988i | ||||||
\(791\) | −21.0297 | + | 12.1415i | −0.747732 | + | 0.431703i | ||||
\(792\) | 22.6394 | + | 6.06622i | 0.804457 | + | 0.215554i | ||||
\(793\) | −7.95173 | − | 29.6763i | −0.282374 | − | 1.05384i | ||||
\(794\) | −13.6981 | + | 3.67039i | −0.486127 | + | 0.130257i | ||||
\(795\) | −51.6736 | −1.83267 | ||||||||
\(796\) | −1.07116 | − | 1.07116i | −0.0379661 | − | 0.0379661i | ||||
\(797\) | −41.1866 | − | 23.7791i | −1.45890 | − | 0.842299i | −0.459947 | − | 0.887946i | \(-0.652132\pi\) |
−0.998958 | + | 0.0456476i | \(0.985465\pi\) | |||||||
\(798\) | 2.67159 | − | 4.62734i | 0.0945734 | − | 0.163806i | ||||
\(799\) | 0.844836 | + | 2.61102i | 0.0298882 | + | 0.0923712i | ||||
\(800\) | −2.15226 | − | 3.72783i | −0.0760939 | − | 0.131799i | ||||
\(801\) | 14.0530i | 0.496539i | ||||||||
\(802\) | −1.96553 | + | 7.33547i | −0.0694054 | + | 0.259025i | ||||
\(803\) | −0.764045 | − | 1.32337i | −0.0269626 | − | 0.0467006i | ||||
\(804\) | 0.183790 | − | 0.685915i | 0.00648178 | − | 0.0241903i | ||||
\(805\) | 3.21561 | + | 12.0008i | 0.113336 | + | 0.422974i | ||||
\(806\) | −27.0321 | + | 27.0321i | −0.952165 | + | 0.952165i | ||||
\(807\) | −11.4211 | − | 6.59398i | −0.402042 | − | 0.232119i | ||||
\(808\) | −7.54654 | + | 4.35700i | −0.265486 | + | 0.153279i | ||||
\(809\) | −22.6893 | + | 22.6893i | −0.797713 | + | 0.797713i | −0.982734 | − | 0.185022i | \(-0.940765\pi\) |
0.185022 | + | 0.982734i | \(0.440765\pi\) | |||||||
\(810\) | −11.1816 | − | 2.99610i | −0.392881 | − | 0.105272i | ||||
\(811\) | −38.5601 | + | 10.3321i | −1.35403 | + | 0.362811i | −0.861620 | − | 0.507554i | \(-0.830550\pi\) |
−0.492408 | + | 0.870364i | \(0.663883\pi\) | |||||||
\(812\) | −0.0512894 | + | 0.0888358i | −0.00179990 | + | 0.00311753i | ||||
\(813\) | −5.96973 | − | 5.96973i | −0.209367 | − | 0.209367i | ||||
\(814\) | 8.34960 | + | 4.82065i | 0.292653 | + | 0.168964i | ||||
\(815\) | 4.02491 | 0.140986 | ||||||||
\(816\) | −16.9920 | − | 26.2357i | −0.594839 | − | 0.918434i | ||||
\(817\) | 3.89397 | + | 4.44924i | 0.136233 | + | 0.155659i | ||||
\(818\) | 11.2270i | 0.392542i | ||||||||
\(819\) | 15.2893 | + | 15.2893i | 0.534251 | + | 0.534251i | ||||
\(820\) | 1.71793 | − | 2.97554i | 0.0599926 | − | 0.103910i | ||||
\(821\) | 37.1750 | + | 37.1750i | 1.29742 | + | 1.29742i | 0.930094 | + | 0.367321i | \(0.119725\pi\) |
0.367321 | + | 0.930094i | \(0.380275\pi\) | |||||||
\(822\) | −5.58355 | − | 20.8381i | −0.194749 | − | 0.726812i | ||||
\(823\) | −14.4855 | − | 54.0605i | −0.504932 | − | 1.88443i | −0.465168 | − | 0.885222i | \(-0.654006\pi\) |
−0.0397640 | − | 0.999209i | \(-0.512661\pi\) | |||||||
\(824\) | 35.7566 | − | 20.6441i | 1.24564 | − | 0.719171i | ||||
\(825\) | 8.64046i | 0.300822i | ||||||||
\(826\) | −2.91672 | − | 0.781534i | −0.101486 | − | 0.0271930i | ||||
\(827\) | −0.794433 | − | 2.96486i | −0.0276251 | − | 0.103098i | 0.950737 | − | 0.309999i | \(-0.100329\pi\) |
−0.978362 | + | 0.206901i | \(0.933662\pi\) | |||||||
\(828\) | −4.87736 | − | 4.87736i | −0.169500 | − | 0.169500i | ||||
\(829\) | 21.6815 | − | 37.5534i | 0.753029 | − | 1.30428i | −0.193319 | − | 0.981136i | \(-0.561925\pi\) |
0.946348 | − | 0.323149i | \(-0.104741\pi\) | |||||||
\(830\) | −1.63667 | + | 6.10812i | −0.0568095 | + | 0.212016i | ||||
\(831\) | 33.9278 | − | 19.5882i | 1.17694 | − | 0.679508i | ||||
\(832\) | 13.3878 | + | 23.1884i | 0.464139 | + | 0.803911i | ||||
\(833\) | 3.21767 | − | 15.0473i | 0.111486 | − | 0.521358i | ||||
\(834\) | 28.9922 | + | 50.2160i | 1.00392 | + | 1.73884i | ||||
\(835\) | −8.34287 | + | 4.81676i | −0.288717 | + | 0.166691i | ||||
\(836\) | 0.772706 | − | 0.207046i | 0.0267246 | − | 0.00716084i | ||||
\(837\) | −13.1625 | + | 22.7981i | −0.454962 | + | 0.788018i | ||||
\(838\) | −4.58932 | − | 4.58932i | −0.158536 | − | 0.158536i | ||||
\(839\) | −20.4623 | + | 20.4623i | −0.706439 | + | 0.706439i | −0.965784 | − | 0.259346i | \(-0.916493\pi\) |
0.259346 | + | 0.965784i | \(0.416493\pi\) | |||||||
\(840\) | −6.85859 | − | 25.5966i | −0.236644 | − | 0.883167i | ||||
\(841\) | 25.1015 | + | 14.4924i | 0.865569 | + | 0.499737i | ||||
\(842\) | −27.7470 | + | 16.0197i | −0.956225 | + | 0.552077i | ||||
\(843\) | −10.2273 | − | 2.74039i | −0.352246 | − | 0.0943840i | ||||
\(844\) | −2.19660 | + | 2.19660i | −0.0756100 | + | 0.0756100i | ||||
\(845\) | 1.85516 | − | 6.92356i | 0.0638196 | − | 0.238178i | ||||
\(846\) | 1.64169 | + | 2.84349i | 0.0564424 | + | 0.0977611i | ||||
\(847\) | 3.40024 | − | 12.6899i | 0.116834 | − | 0.436029i | ||||
\(848\) | 26.7520 | + | 15.4453i | 0.918666 | + | 0.530392i | ||||
\(849\) | 62.4425 | 2.14302 | ||||||||
\(850\) | 5.80734 | − | 6.43383i | 0.199190 | − | 0.220679i | ||||
\(851\) | −7.59739 | − | 13.1591i | −0.260435 | − | 0.451087i | ||||
\(852\) | 10.9725i | 0.375913i | ||||||||
\(853\) | −3.46003 | + | 12.9130i | −0.118469 | + | 0.442133i | −0.999523 | − | 0.0308831i | \(-0.990168\pi\) |
0.881054 | + | 0.473016i | \(0.156835\pi\) | |||||||
\(854\) | 11.4532 | − | 19.8376i | 0.391921 | − | 0.678827i | ||||
\(855\) | 6.29384 | − | 1.68643i | 0.215245 | − | 0.0576747i | ||||
\(856\) | 29.5086 | − | 29.5086i | 1.00858 | − | 1.00858i | ||||
\(857\) | 10.0211 | + | 37.3992i | 0.342314 | + | 1.27753i | 0.895719 | + | 0.444620i | \(0.146661\pi\) |
−0.553406 | + | 0.832912i | \(0.686672\pi\) | |||||||
\(858\) | − | 19.0611i | − | 0.650735i | ||||||
\(859\) | 29.6349i | 1.01113i | 0.862788 | + | 0.505565i | \(0.168716\pi\) | ||||
−0.862788 | + | 0.505565i | \(0.831284\pi\) | |||||||
\(860\) | 5.46355 | + | 0.363620i | 0.186306 | + | 0.0123993i | ||||
\(861\) | −13.8901 | + | 13.8901i | −0.473372 | + | 0.473372i | ||||
\(862\) | 18.6177 | + | 18.6177i | 0.634122 | + | 0.634122i | ||||
\(863\) | −12.6977 | + | 21.9930i | −0.432233 | + | 0.748650i | −0.997065 | − | 0.0765560i | \(-0.975608\pi\) |
0.564832 | + | 0.825206i | \(0.308941\pi\) | |||||||
\(864\) | 4.62375 | + | 4.62375i | 0.157303 | + | 0.157303i | ||||
\(865\) | −20.2595 | − | 11.6969i | −0.688845 | − | 0.397705i | ||||
\(866\) | −8.93734 | + | 15.4799i | −0.303703 | + | 0.526029i | ||||
\(867\) | −28.3385 | + | 34.8203i | −0.962426 | + | 1.18256i | ||||
\(868\) | 8.49493 | 0.288337 | ||||||||
\(869\) | −17.8764 | + | 10.3209i | −0.606415 | + | 0.350114i | ||||
\(870\) | 0.711455 | − | 0.190634i | 0.0241206 | − | 0.00646309i | ||||
\(871\) | −1.76232 | −0.0597140 | ||||||||
\(872\) | −49.3600 | + | 13.2260i | −1.67154 | + | 0.447888i | ||||
\(873\) | 11.9059 | + | 3.19019i | 0.402955 | + | 0.107971i | ||||
\(874\) | 4.08602 | + | 1.09485i | 0.138212 | + | 0.0370337i | ||||
\(875\) | 19.0550 | − | 11.0014i | 0.644176 | − | 0.371915i | ||||
\(876\) | − | 0.959175i | − | 0.0324075i | ||||||
\(877\) | −8.12339 | − | 2.17666i | −0.274307 | − | 0.0735005i | 0.119043 | − | 0.992889i | \(-0.462017\pi\) |
−0.393350 | + | 0.919389i | \(0.628684\pi\) | |||||||
\(878\) | −5.84155 | − | 1.56524i | −0.197143 | − | 0.0528243i | ||||
\(879\) | −7.01575 | + | 1.87987i | −0.236635 | + | 0.0634063i | ||||
\(880\) | −5.04259 | + | 8.73403i | −0.169986 | + | 0.294424i | ||||
\(881\) | −28.3359 | − | 28.3359i | −0.954661 | − | 0.954661i | 0.0443551 | − | 0.999016i | \(-0.485877\pi\) |
−0.999016 | + | 0.0443551i | \(0.985877\pi\) | |||||||
\(882\) | − | 18.4101i | − | 0.619901i | ||||||
\(883\) | −1.81859 | + | 3.14990i | −0.0612005 | + | 0.106002i | −0.895002 | − | 0.446062i | \(-0.852826\pi\) |
0.833802 | + | 0.552064i | \(0.186160\pi\) | |||||||
\(884\) | 3.81822 | − | 4.23012i | 0.128421 | − | 0.142274i | ||||
\(885\) | −3.23103 | − | 5.59631i | −0.108610 | − | 0.188118i | ||||
\(886\) | 17.9535 | − | 10.3654i | 0.603159 | − | 0.348234i | ||||
\(887\) | −30.7105 | − | 30.7105i | −1.03116 | − | 1.03116i | −0.999499 | − | 0.0316600i | \(-0.989921\pi\) |
−0.0316600 | − | 0.999499i | \(-0.510079\pi\) | |||||||
\(888\) | 16.2045 | + | 28.0670i | 0.543787 | + | 0.941866i | ||||
\(889\) | 8.22490 | − | 30.6958i | 0.275854 | − | 1.02950i | ||||
\(890\) | −7.70952 | − | 2.06576i | −0.258424 | − | 0.0692445i | ||||
\(891\) | 2.56455 | + | 9.57104i | 0.0859157 | + | 0.320642i | ||||
\(892\) | − | 8.28310i | − | 0.277339i | ||||||
\(893\) | 0.519734 | + | 0.300069i | 0.0173922 | + | 0.0100414i | ||||
\(894\) | 61.0345 | + | 16.3541i | 2.04130 | + | 0.546964i | ||||
\(895\) | −14.1411 | + | 14.1411i | −0.472685 | + | 0.472685i | ||||
\(896\) | −2.78832 | + | 10.4062i | −0.0931513 | + | 0.347645i | ||||
\(897\) | −15.0202 | + | 26.0158i | −0.501511 | + | 0.868643i | ||||
\(898\) | −11.9513 | + | 3.20234i | −0.398820 | + | 0.106863i | ||||
\(899\) | 1.26446i | 0.0421722i | ||||||||
\(900\) | −1.54528 | + | 2.67651i | −0.0515094 | + | 0.0892170i | ||||
\(901\) | 9.27763 | − | 43.3864i | 0.309083 | − | 1.44541i | ||||
\(902\) | 9.86771 | 0.328559 | ||||||||
\(903\) | −29.6339 | − | 10.0926i | −0.986155 | − | 0.335861i | ||||
\(904\) | 28.9945 | + | 28.9945i | 0.964343 | + | 0.964343i | ||||
\(905\) | 42.7706 | 1.42174 | ||||||||
\(906\) | −0.669776 | + | 0.179466i | −0.0222518 | + | 0.00596236i | ||||
\(907\) | 35.5069 | − | 35.5069i | 1.17899 | − | 1.17899i | 0.198983 | − | 0.980003i | \(-0.436236\pi\) |
0.980003 | − | 0.198983i | \(-0.0637639\pi\) | |||||||
\(908\) | 0.186393 | + | 0.695627i | 0.00618566 | + | 0.0230852i | ||||
\(909\) | 9.82479 | + | 5.67234i | 0.325868 | + | 0.188140i | ||||
\(910\) | −10.6352 | + | 6.14026i | −0.352555 | + | 0.203548i | ||||
\(911\) | 15.6114 | − | 15.6114i | 0.517229 | − | 0.517229i | −0.399503 | − | 0.916732i | \(-0.630817\pi\) |
0.916732 | + | 0.399503i | \(0.130817\pi\) | |||||||
\(912\) | −6.60267 | − | 1.76918i | −0.218636 | − | 0.0585834i | ||||
\(913\) | 5.22833 | − | 1.40093i | 0.173032 | − | 0.0463639i | ||||
\(914\) | 36.2454 | 1.19889 | ||||||||
\(915\) | 47.3500 | − | 12.6874i | 1.56534 | − | 0.419433i | ||||
\(916\) | 0.0254380 | − | 0.0146866i | 0.000840495 | − | 0.000485260i | ||||
\(917\) | −0.173754 | − | 0.300952i | −0.00573788 | − | 0.00993830i | ||||
\(918\) | −5.99169 | + | 11.7238i | −0.197755 | + | 0.386944i | ||||
\(919\) | −54.0207 | −1.78198 | −0.890990 | − | 0.454023i | \(-0.849988\pi\) | ||||
−0.890990 | + | 0.454023i | \(0.849988\pi\) | |||||||
\(920\) | 18.1688 | − | 10.4897i | 0.599007 | − | 0.345837i | ||||
\(921\) | −0.664422 | + | 2.47966i | −0.0218935 | + | 0.0817075i | ||||
\(922\) | −13.0889 | + | 22.6706i | −0.431060 | + | 0.746618i | ||||
\(923\) | 26.3033 | − | 7.04795i | 0.865783 | − | 0.231986i | ||||
\(924\) | −2.99500 | + | 2.99500i | −0.0985284 | + | 0.0985284i | ||||
\(925\) | −4.81413 | + | 4.81413i | −0.158288 | + | 0.158288i | ||||
\(926\) | −14.1592 | − | 8.17484i | −0.465302 | − | 0.268642i | ||||
\(927\) | −46.5512 | − | 26.8764i | −1.52894 | − | 0.882736i | ||||
\(928\) | 0.303382 | + | 0.0812910i | 0.00995901 | + | 0.00266851i | ||||
\(929\) | 20.6856 | + | 5.54269i | 0.678673 | + | 0.181850i | 0.581658 | − | 0.813433i | \(-0.302404\pi\) |
0.0970143 | + | 0.995283i | \(0.469071\pi\) | |||||||
\(930\) | −43.1311 | − | 43.1311i | −1.41433 | − | 1.41433i | ||||
\(931\) | −1.68251 | − | 2.91419i | −0.0551419 | − | 0.0955086i | ||||
\(932\) | 0.386931 | − | 1.44405i | 0.0126744 | − | 0.0473013i | ||||
\(933\) | 24.8977 | − | 14.3747i | 0.815114 | − | 0.470606i | ||||
\(934\) | −11.7890 | + | 20.4191i | −0.385747 | + | 0.668134i | ||||
\(935\) | 14.1649 | + | 3.02898i | 0.463241 | + | 0.0990582i | ||||
\(936\) | 18.2558 | − | 31.6199i | 0.596708 | − | 1.03353i | ||||
\(937\) | 2.92109 | − | 1.68649i | 0.0954278 | − | 0.0550953i | −0.451527 | − | 0.892258i | \(-0.649120\pi\) |
0.546954 | + | 0.837162i | \(0.315787\pi\) | |||||||
\(938\) | −0.929100 | − | 0.929100i | −0.0303362 | − | 0.0303362i | ||||
\(939\) | 38.7900 | + | 67.1862i | 1.26586 | + | 2.19254i | ||||
\(940\) | 0.536848 | − | 0.143848i | 0.0175101 | − | 0.00469180i | ||||
\(941\) | 2.27477 | + | 8.48956i | 0.0741554 | + | 0.276752i | 0.993040 | − | 0.117774i | \(-0.0375757\pi\) |
−0.918885 | + | 0.394525i | \(0.870909\pi\) | |||||||
\(942\) | 42.2701 | − | 42.2701i | 1.37724 | − | 1.37724i | ||||
\(943\) | −13.4681 | − | 7.77581i | −0.438582 | − | 0.253215i | ||||
\(944\) | 3.86302i | 0.125731i | ||||||||
\(945\) | −5.97964 | + | 5.97964i | −0.194518 | + | 0.194518i | ||||
\(946\) | 6.94122 | + | 14.1112i | 0.225679 | + | 0.458794i | ||||
\(947\) | −22.5125 | − | 22.5125i | −0.731557 | − | 0.731557i | 0.239371 | − | 0.970928i | \(-0.423059\pi\) |
−0.970928 | + | 0.239371i | \(0.923059\pi\) | |||||||
\(948\) | −12.9568 | −0.420818 | ||||||||
\(949\) | −2.29933 | + | 0.616103i | −0.0746394 | + | 0.0199996i | ||||
\(950\) | − | 1.89537i | − | 0.0614941i | ||||||
\(951\) | 37.9267 | − | 65.6910i | 1.22986 | − | 2.13018i | ||||
\(952\) | 22.7229 | − | 1.16294i | 0.736454 | − | 0.0376912i | ||||
\(953\) | −29.1401 | − | 50.4722i | −0.943941 | − | 1.63495i | −0.757858 | − | 0.652420i | \(-0.773754\pi\) |
−0.186083 | − | 0.982534i | \(-0.559579\pi\) | |||||||
\(954\) | − | 53.0826i | − | 1.71861i | ||||||
\(955\) | 7.89004 | − | 29.4460i | 0.255316 | − | 0.952851i | ||||
\(956\) | 1.66913 | − | 2.89102i | 0.0539835 | − | 0.0935022i | ||||
\(957\) | −0.445804 | − | 0.445804i | −0.0144108 | − | 0.0144108i | ||||
\(958\) | −4.29981 | − | 16.0471i | −0.138921 | − | 0.518459i | ||||
\(959\) | 11.4916 | + | 3.07918i | 0.371084 | + | 0.0994318i | ||||
\(960\) | −36.9982 | + | 21.3609i | −1.19411 | + | 0.689421i | ||||
\(961\) | 63.8389 | − | 36.8574i | 2.05932 | − | 1.18895i | ||||
\(962\) | 10.6201 | − | 10.6201i | 0.342405 | − | 0.342405i | ||||
\(963\) | −52.4786 | − | 14.0616i | −1.69110 | − | 0.453129i | ||||
\(964\) | −3.02028 | + | 11.2719i | −0.0972768 | + | 0.363042i | ||||
\(965\) | 9.96315 | − | 17.2567i | 0.320725 | − | 0.555512i | ||||
\(966\) | −21.6343 | + | 5.79689i | −0.696071 | + | 0.186512i | ||||
\(967\) | − | 28.7474i | − | 0.924453i | −0.886762 | − | 0.462226i | \(-0.847051\pi\) | ||
0.886762 | − | 0.462226i | \(-0.152949\pi\) | |||||||
\(968\) | −22.1840 | −0.713022 | ||||||||
\(969\) | 0.501810 | + | 9.80495i | 0.0161205 | + | 0.314980i | ||||
\(970\) | −3.50029 | + | 6.06268i | −0.112387 | + | 0.194661i | ||||
\(971\) | 4.02689 | − | 2.32492i | 0.129229 | − | 0.0746103i | −0.433992 | − | 0.900917i | \(-0.642895\pi\) |
0.563221 | + | 0.826306i | \(0.309562\pi\) | |||||||
\(972\) | −2.52703 | + | 9.43099i | −0.0810544 | + | 0.302499i | ||||
\(973\) | −31.9769 | −1.02513 | ||||||||
\(974\) | 11.3565 | − | 42.3830i | 0.363886 | − | 1.35804i | ||||
\(975\) | 13.0014 | + | 3.48370i | 0.416377 | + | 0.111568i | ||||
\(976\) | −28.3059 | − | 7.58454i | −0.906049 | − | 0.242775i | ||||
\(977\) | 32.9649 | + | 19.0323i | 1.05464 | + | 0.608897i | 0.923945 | − | 0.382525i | \(-0.124946\pi\) |
0.130696 | + | 0.991423i | \(0.458279\pi\) | |||||||
\(978\) | 7.25582i | 0.232016i | ||||||||
\(979\) | 1.76821 | + | 6.59907i | 0.0565124 | + | 0.210907i | ||||
\(980\) | −3.01014 | − | 0.806566i | −0.0961555 | − | 0.0257648i | ||||
\(981\) | 47.0426 | + | 47.0426i | 1.50195 | + | 1.50195i | ||||
\(982\) | 1.91383 | + | 3.31485i | 0.0610728 | + | 0.105781i | ||||
\(983\) | −33.2566 | + | 8.91107i | −1.06072 | + | 0.284219i | −0.746675 | − | 0.665189i | \(-0.768351\pi\) |
−0.314045 | + | 0.949408i | \(0.601684\pi\) | |||||||
\(984\) | 28.7261 | + | 16.5850i | 0.915756 | + | 0.528712i | ||||
\(985\) | 1.07676 | 0.0343086 | ||||||||
\(986\) | 0.0323239 | + | 0.631581i | 0.00102940 | + | 0.0201136i | ||||
\(987\) | −3.17755 | −0.101143 | ||||||||
\(988\) | − | 1.24617i | − | 0.0396461i | ||||||
\(989\) | 1.64584 | − | 24.7296i | 0.0523348 | − | 0.786354i | ||||
\(990\) | 17.3305 | 0.550799 | ||||||||
\(991\) | −25.1419 | − | 25.1419i | −0.798660 | − | 0.798660i | 0.184224 | − | 0.982884i | \(-0.441023\pi\) |
−0.982884 | + | 0.184224i | \(0.941023\pi\) | |||||||
\(992\) | −6.73201 | − | 25.1242i | −0.213742 | − | 0.797695i | ||||
\(993\) | 18.4191 | − | 18.4191i | 0.584512 | − | 0.584512i | ||||
\(994\) | 17.5828 | + | 10.1515i | 0.557694 | + | 0.321985i | ||||
\(995\) | −5.19480 | − | 2.99922i | −0.164686 | − | 0.0950816i | ||||
\(996\) | 3.28180 | + | 0.879354i | 0.103988 | + | 0.0278634i | ||||
\(997\) | −33.7645 | + | 33.7645i | −1.06933 | + | 1.06933i | −0.0719206 | + | 0.997410i | \(0.522913\pi\) |
−0.997410 | + | 0.0719206i | \(0.977087\pi\) | |||||||
\(998\) | −8.65069 | + | 32.2848i | −0.273833 | + | 1.02196i | ||||
\(999\) | 5.17115 | − | 8.95669i | 0.163608 | − | 0.283377i |
(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 | 731.2.n.a.608.45 | yes | 256 | |
17.4 | even | 4 | inner | 731.2.n.a.565.20 | yes | 256 | |
43.36 | even | 3 | inner | 731.2.n.a.251.45 | yes | 256 | |
731.208 | even | 12 | inner | 731.2.n.a.208.20 | ✓ | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.n.a.208.20 | ✓ | 256 | 731.208 | even | 12 | inner | |
731.2.n.a.251.45 | yes | 256 | 43.36 | even | 3 | inner | |
731.2.n.a.565.20 | yes | 256 | 17.4 | even | 4 | inner | |
731.2.n.a.608.45 | yes | 256 | 1.1 | even | 1 | trivial |