Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [60,2,Mod(7,60)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(60, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("60.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 60 = 2^{2} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 60.j (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.479102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(i)\) |
Coefficient field: | 12.0.426337261060096.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 4x^{9} - 3x^{8} + 4x^{7} + 8x^{6} + 8x^{5} - 12x^{4} - 32x^{3} + 64 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 7.6 | ||
Root | \(-1.35818 + 0.394157i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 60.7 |
Dual form | 60.2.j.a.43.6 |
$q$-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 \(\left(\mathbb{Z}/60\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(41\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.35818 | + | 0.394157i | 0.960375 | + | 0.278711i | ||||
\(3\) | −0.707107 | − | 0.707107i | −0.408248 | − | 0.408248i | ||||
\(4\) | 1.68928 | + | 1.07067i | 0.844640 | + | 0.535334i | ||||
\(5\) | −1.75233 | − | 1.38900i | −0.783667 | − | 0.621181i | ||||
\(6\) | −0.681664 | − | 1.23909i | −0.278288 | − | 0.505855i | ||||
\(7\) | −2.47817 | + | 2.47817i | −0.936661 | + | 0.936661i | −0.998110 | − | 0.0614493i | \(-0.980428\pi\) |
0.0614493 | + | 0.998110i | \(0.480428\pi\) | |||||||
\(8\) | 1.87233 | + | 2.12000i | 0.661968 | + | 0.749532i | ||||
\(9\) | 1.00000i | 0.333333i | ||||||||
\(10\) | −1.83249 | − | 2.57720i | −0.579484 | − | 0.814984i | ||||
\(11\) | − | 3.02831i | − | 0.913069i | −0.889706 | − | 0.456534i | \(-0.849091\pi\) | ||
0.889706 | − | 0.456534i | \(-0.150909\pi\) | |||||||
\(12\) | −0.437425 | − | 1.95158i | −0.126274 | − | 0.563372i | ||||
\(13\) | 0.363328 | − | 0.363328i | 0.100769 | − | 0.100769i | −0.654925 | − | 0.755694i | \(-0.727300\pi\) |
0.755694 | + | 0.654925i | \(0.227300\pi\) | |||||||
\(14\) | −4.34258 | + | 2.38900i | −1.16060 | + | 0.638488i | ||||
\(15\) | 0.256912 | + | 2.22126i | 0.0663344 | + | 0.573527i | ||||
\(16\) | 1.70734 | + | 3.61732i | 0.426835 | + | 0.904330i | ||||
\(17\) | −2.36333 | − | 2.36333i | −0.573191 | − | 0.573191i | 0.359828 | − | 0.933019i | \(-0.382836\pi\) |
−0.933019 | + | 0.359828i | \(0.882836\pi\) | |||||||
\(18\) | −0.394157 | + | 1.35818i | −0.0929036 | + | 0.320125i | ||||
\(19\) | 4.95634 | 1.13706 | 0.568532 | − | 0.822661i | \(-0.307512\pi\) | ||||
0.568532 | + | 0.822661i | \(0.307512\pi\) | |||||||
\(20\) | −1.47302 | − | 4.22258i | −0.329377 | − | 0.944198i | ||||
\(21\) | 3.50466 | 0.764780 | ||||||||
\(22\) | 1.19363 | − | 4.11297i | 0.254482 | − | 0.876888i | ||||
\(23\) | 0.900390 | + | 0.900390i | 0.187744 | + | 0.187744i | 0.794720 | − | 0.606976i | \(-0.207618\pi\) |
−0.606976 | + | 0.794720i | \(0.707618\pi\) | |||||||
\(24\) | 0.175128 | − | 2.82300i | 0.0357478 | − | 0.576243i | ||||
\(25\) | 1.14134 | + | 4.86799i | 0.228267 | + | 0.973599i | ||||
\(26\) | 0.636672 | − | 0.350255i | 0.124862 | − | 0.0686907i | ||||
\(27\) | 0.707107 | − | 0.707107i | 0.136083 | − | 0.136083i | ||||
\(28\) | −6.83963 | + | 1.53303i | −1.29257 | + | 0.289715i | ||||
\(29\) | 3.50466i | 0.650800i | 0.945576 | + | 0.325400i | \(0.105499\pi\) | ||||
−0.945576 | + | 0.325400i | \(0.894501\pi\) | |||||||
\(30\) | −0.526593 | + | 3.11812i | −0.0961423 | + | 0.569289i | ||||
\(31\) | − | 3.85607i | − | 0.692571i | −0.938129 | − | 0.346286i | \(-0.887443\pi\) | ||
0.938129 | − | 0.346286i | \(-0.112557\pi\) | |||||||
\(32\) | 0.893077 | + | 5.58591i | 0.157875 | + | 0.987459i | ||||
\(33\) | −2.14134 | + | 2.14134i | −0.372759 | + | 0.372759i | ||||
\(34\) | −2.27829 | − | 4.14134i | −0.390724 | − | 0.710233i | ||||
\(35\) | 7.78477 | − | 0.900390i | 1.31587 | − | 0.152194i | ||||
\(36\) | −1.07067 | + | 1.68928i | −0.178445 | + | 0.281547i | ||||
\(37\) | −0.363328 | − | 0.363328i | −0.0597308 | − | 0.0597308i | 0.676610 | − | 0.736341i | \(-0.263448\pi\) |
−0.736341 | + | 0.676610i | \(0.763448\pi\) | |||||||
\(38\) | 6.73158 | + | 1.95358i | 1.09201 | + | 0.316912i | ||||
\(39\) | −0.513824 | −0.0822776 | ||||||||
\(40\) | −0.336258 | − | 6.31561i | −0.0531671 | − | 0.998586i | ||||
\(41\) | 2.72666 | 0.425832 | 0.212916 | − | 0.977070i | \(-0.431704\pi\) | ||||
0.212916 | + | 0.977070i | \(0.431704\pi\) | |||||||
\(42\) | 4.75995 | + | 1.38139i | 0.734476 | + | 0.213153i | ||||
\(43\) | −3.92870 | − | 3.92870i | −0.599121 | − | 0.599121i | 0.340958 | − | 0.940079i | \(-0.389249\pi\) |
−0.940079 | + | 0.340958i | \(0.889249\pi\) | |||||||
\(44\) | 3.24231 | − | 5.11566i | 0.488797 | − | 0.771215i | ||||
\(45\) | 1.38900 | − | 1.75233i | 0.207060 | − | 0.261222i | ||||
\(46\) | 0.867993 | + | 1.57778i | 0.127979 | + | 0.232631i | ||||
\(47\) | −5.85673 | + | 5.85673i | −0.854292 | + | 0.854292i | −0.990659 | − | 0.136366i | \(-0.956458\pi\) |
0.136366 | + | 0.990659i | \(0.456458\pi\) | |||||||
\(48\) | 1.35056 | − | 3.76510i | 0.194936 | − | 0.543446i | ||||
\(49\) | − | 5.28267i | − | 0.754667i | ||||||
\(50\) | −0.368618 | + | 7.06145i | −0.0521304 | + | 0.998640i | ||||
\(51\) | 3.34225i | 0.468009i | ||||||||
\(52\) | 1.00277 | − | 0.224760i | 0.139059 | − | 0.0311685i | ||||
\(53\) | 3.14134 | − | 3.14134i | 0.431496 | − | 0.431496i | −0.457641 | − | 0.889137i | \(-0.651306\pi\) |
0.889137 | + | 0.457641i | \(0.151306\pi\) | |||||||
\(54\) | 1.23909 | − | 0.681664i | 0.168618 | − | 0.0927627i | ||||
\(55\) | −4.20633 | + | 5.30660i | −0.567181 | + | 0.715542i | ||||
\(56\) | −9.89367 | − | 0.613763i | −1.32210 | − | 0.0820176i | ||||
\(57\) | −3.50466 | − | 3.50466i | −0.464204 | − | 0.464204i | ||||
\(58\) | −1.38139 | + | 4.75995i | −0.181385 | + | 0.625012i | ||||
\(59\) | −8.68516 | −1.13071 | −0.565356 | − | 0.824847i | \(-0.691261\pi\) | ||||
−0.565356 | + | 0.824847i | \(0.691261\pi\) | |||||||
\(60\) | −1.94424 | + | 4.02740i | −0.251000 | + | 0.519935i | ||||
\(61\) | −15.2920 | −1.95794 | −0.978970 | − | 0.204004i | \(-0.934604\pi\) | ||||
−0.978970 | + | 0.204004i | \(0.934604\pi\) | |||||||
\(62\) | 1.51990 | − | 5.23723i | 0.193027 | − | 0.665128i | ||||
\(63\) | −2.47817 | − | 2.47817i | −0.312220 | − | 0.312220i | ||||
\(64\) | −0.988770 | + | 7.93866i | −0.123596 | + | 0.992333i | ||||
\(65\) | −1.14134 | + | 0.132007i | −0.141565 | + | 0.0163735i | ||||
\(66\) | −3.75233 | + | 2.06429i | −0.461880 | + | 0.254096i | ||||
\(67\) | 3.92870 | − | 3.92870i | 0.479967 | − | 0.479967i | −0.425154 | − | 0.905121i | \(-0.639780\pi\) |
0.905121 | + | 0.425154i | \(0.139780\pi\) | |||||||
\(68\) | −1.46199 | − | 6.52267i | −0.177292 | − | 0.790989i | ||||
\(69\) | − | 1.27334i | − | 0.153293i | ||||||
\(70\) | 10.9280 | + | 1.84553i | 1.30614 | + | 0.220583i | ||||
\(71\) | 4.25583i | 0.505075i | 0.967587 | + | 0.252537i | \(0.0812650\pi\) | ||||
−0.967587 | + | 0.252537i | \(0.918735\pi\) | |||||||
\(72\) | −2.12000 | + | 1.87233i | −0.249844 | + | 0.220656i | ||||
\(73\) | 9.28267 | − | 9.28267i | 1.08645 | − | 1.08645i | 0.0905640 | − | 0.995891i | \(-0.471133\pi\) |
0.995891 | − | 0.0905640i | \(-0.0288670\pi\) | |||||||
\(74\) | −0.350255 | − | 0.636672i | −0.0407163 | − | 0.0740116i | ||||
\(75\) | 2.63514 | − | 4.24924i | 0.304280 | − | 0.490660i | ||||
\(76\) | 8.37266 | + | 5.30660i | 0.960410 | + | 0.608709i | ||||
\(77\) | 7.50466 | + | 7.50466i | 0.855236 | + | 0.855236i | ||||
\(78\) | −0.697863 | − | 0.202527i | −0.0790174 | − | 0.0229317i | ||||
\(79\) | −0.399759 | −0.0449764 | −0.0224882 | − | 0.999747i | \(-0.507159\pi\) | ||||
−0.0224882 | + | 0.999747i | \(0.507159\pi\) | |||||||
\(80\) | 2.03264 | − | 8.71024i | 0.227256 | − | 0.973835i | ||||
\(81\) | −1.00000 | −0.111111 | ||||||||
\(82\) | 3.70328 | + | 1.07473i | 0.408959 | + | 0.118684i | ||||
\(83\) | 0.199879 | + | 0.199879i | 0.0219396 | + | 0.0219396i | 0.717991 | − | 0.696052i | \(-0.245062\pi\) |
−0.696052 | + | 0.717991i | \(0.745062\pi\) | |||||||
\(84\) | 5.92036 | + | 3.75233i | 0.645965 | + | 0.409413i | ||||
\(85\) | 0.858664 | + | 7.42401i | 0.0931352 | + | 0.805247i | ||||
\(86\) | −3.78734 | − | 6.88438i | −0.408399 | − | 0.742362i | ||||
\(87\) | 2.47817 | − | 2.47817i | 0.265688 | − | 0.265688i | ||||
\(88\) | 6.42000 | − | 5.66999i | 0.684374 | − | 0.604422i | ||||
\(89\) | 4.28267i | 0.453962i | 0.973899 | + | 0.226981i | \(0.0728856\pi\) | ||||
−0.973899 | + | 0.226981i | \(0.927114\pi\) | |||||||
\(90\) | 2.57720 | − | 1.83249i | 0.271661 | − | 0.193161i | ||||
\(91\) | 1.80078i | 0.188773i | ||||||||
\(92\) | 0.556993 | + | 2.48503i | 0.0580705 | + | 0.259082i | ||||
\(93\) | −2.72666 | + | 2.72666i | −0.282741 | + | 0.282741i | ||||
\(94\) | −10.2629 | + | 5.64600i | −1.05854 | + | 0.582340i | ||||
\(95\) | −8.68516 | − | 6.88438i | −0.891079 | − | 0.706323i | ||||
\(96\) | 3.31834 | − | 4.58134i | 0.338676 | − | 0.467581i | ||||
\(97\) | 6.73599 | + | 6.73599i | 0.683936 | + | 0.683936i | 0.960885 | − | 0.276949i | \(-0.0893233\pi\) |
−0.276949 | + | 0.960885i | \(0.589323\pi\) | |||||||
\(98\) | 2.08220 | − | 7.17480i | 0.210334 | − | 0.724764i | ||||
\(99\) | 3.02831 | 0.304356 | ||||||||
\(100\) | −3.28397 | + | 9.44540i | −0.328397 | + | 0.944540i | ||||
\(101\) | 5.78734 | 0.575862 | 0.287931 | − | 0.957651i | \(-0.407033\pi\) | ||||
0.287931 | + | 0.957651i | \(0.407033\pi\) | |||||||
\(102\) | −1.31737 | + | 4.53936i | −0.130439 | + | 0.449464i | ||||
\(103\) | 13.0914 | + | 13.0914i | 1.28993 | + | 1.28993i | 0.934827 | + | 0.355104i | \(0.115555\pi\) |
0.355104 | + | 0.934827i | \(0.384445\pi\) | |||||||
\(104\) | 1.45052 | + | 0.0899847i | 0.142236 | + | 0.00882373i | ||||
\(105\) | −6.14134 | − | 4.86799i | −0.599333 | − | 0.475067i | ||||
\(106\) | 5.50466 | − | 3.02831i | 0.534660 | − | 0.294135i | ||||
\(107\) | 9.71281 | − | 9.71281i | 0.938973 | − | 0.938973i | −0.0592694 | − | 0.998242i | \(-0.518877\pi\) |
0.998242 | + | 0.0592694i | \(0.0188771\pi\) | |||||||
\(108\) | 1.95158 | − | 0.437425i | 0.187791 | − | 0.0420913i | ||||
\(109\) | − | 10.4626i | − | 1.00214i | −0.865407 | − | 0.501070i | \(-0.832940\pi\) | ||
0.865407 | − | 0.501070i | \(-0.167060\pi\) | |||||||
\(110\) | −7.80457 | + | 5.54934i | −0.744136 | + | 0.529109i | ||||
\(111\) | 0.513824i | 0.0487700i | ||||||||
\(112\) | −13.1954 | − | 4.73325i | −1.24685 | − | 0.447251i | ||||
\(113\) | −10.6460 | + | 10.6460i | −1.00149 | + | 1.00149i | −0.00149259 | + | 0.999999i | \(0.500475\pi\) |
−0.999999 | + | 0.00149259i | \(0.999525\pi\) | |||||||
\(114\) | −3.37856 | − | 6.14134i | −0.316431 | − | 0.575189i | ||||
\(115\) | −0.327137 | − | 2.82843i | −0.0305057 | − | 0.263752i | ||||
\(116\) | −3.75233 | + | 5.92036i | −0.348395 | + | 0.549692i | ||||
\(117\) | 0.363328 | + | 0.363328i | 0.0335897 | + | 0.0335897i | ||||
\(118\) | −11.7960 | − | 3.42331i | −1.08591 | − | 0.315142i | ||||
\(119\) | 11.7135 | 1.07377 | ||||||||
\(120\) | −4.22804 | + | 4.70358i | −0.385965 | + | 0.429376i | ||||
\(121\) | 1.82936 | 0.166305 | ||||||||
\(122\) | −20.7692 | − | 6.02745i | −1.88036 | − | 0.545699i | ||||
\(123\) | −1.92804 | − | 1.92804i | −0.173845 | − | 0.173845i | ||||
\(124\) | 4.12858 | − | 6.51399i | 0.370757 | − | 0.584974i | ||||
\(125\) | 4.76166 | − | 10.1157i | 0.425896 | − | 0.904772i | ||||
\(126\) | −2.38900 | − | 4.34258i | −0.212829 | − | 0.386868i | ||||
\(127\) | 1.77766 | − | 1.77766i | 0.157742 | − | 0.157742i | −0.623823 | − | 0.781565i | \(-0.714422\pi\) |
0.781565 | + | 0.623823i | \(0.214422\pi\) | |||||||
\(128\) | −4.47200 | + | 10.3924i | −0.395273 | + | 0.918564i | ||||
\(129\) | 5.55602i | 0.489180i | ||||||||
\(130\) | −1.60217 | − | 0.270576i | −0.140519 | − | 0.0237311i | ||||
\(131\) | 18.1981i | 1.58997i | 0.606626 | + | 0.794987i | \(0.292523\pi\) | ||||
−0.606626 | + | 0.794987i | \(0.707477\pi\) | |||||||
\(132\) | −5.90998 | + | 1.32466i | −0.514398 | + | 0.115297i | ||||
\(133\) | −12.2827 | + | 12.2827i | −1.06504 | + | 1.06504i | ||||
\(134\) | 6.88438 | − | 3.78734i | 0.594720 | − | 0.327176i | ||||
\(135\) | −2.22126 | + | 0.256912i | −0.191176 | + | 0.0221115i | ||||
\(136\) | 0.585320 | − | 9.43517i | 0.0501908 | − | 0.809060i | ||||
\(137\) | −5.91934 | − | 5.91934i | −0.505724 | − | 0.505724i | 0.407487 | − | 0.913211i | \(-0.366405\pi\) |
−0.913211 | + | 0.407487i | \(0.866405\pi\) | |||||||
\(138\) | 0.501897 | − | 1.72942i | 0.0427243 | − | 0.147218i | ||||
\(139\) | −12.4140 | −1.05294 | −0.526470 | − | 0.850194i | \(-0.676485\pi\) | ||||
−0.526470 | + | 0.850194i | \(0.676485\pi\) | |||||||
\(140\) | 14.1147 | + | 6.81389i | 1.19291 | + | 0.575879i | ||||
\(141\) | 8.28267 | 0.697527 | ||||||||
\(142\) | −1.67747 | + | 5.78017i | −0.140770 | + | 0.485061i | ||||
\(143\) | −1.10027 | − | 1.10027i | −0.0920091 | − | 0.0920091i | ||||
\(144\) | −3.61732 | + | 1.70734i | −0.301443 | + | 0.142278i | ||||
\(145\) | 4.86799 | − | 6.14134i | 0.404265 | − | 0.510010i | ||||
\(146\) | 16.2663 | − | 8.94867i | 1.34621 | − | 0.740597i | ||||
\(147\) | −3.73541 | + | 3.73541i | −0.308092 | + | 0.308092i | ||||
\(148\) | −0.224760 | − | 1.00277i | −0.0184751 | − | 0.0824270i | ||||
\(149\) | − | 5.78734i | − | 0.474117i | −0.971495 | − | 0.237059i | \(-0.923817\pi\) | ||
0.971495 | − | 0.237059i | \(-0.0761833\pi\) | |||||||
\(150\) | 5.25385 | − | 4.73255i | 0.428975 | − | 0.386411i | ||||
\(151\) | − | 18.0708i | − | 1.47058i | −0.677751 | − | 0.735292i | \(-0.737045\pi\) | ||
0.677751 | − | 0.735292i | \(-0.262955\pi\) | |||||||
\(152\) | 9.27990 | + | 10.5074i | 0.752700 | + | 0.852265i | ||||
\(153\) | 2.36333 | − | 2.36333i | 0.191064 | − | 0.191064i | ||||
\(154\) | 7.23464 | + | 13.1507i | 0.582984 | + | 1.05971i | ||||
\(155\) | −5.35610 | + | 6.75712i | −0.430213 | + | 0.542745i | ||||
\(156\) | −0.867993 | − | 0.550135i | −0.0694950 | − | 0.0440460i | ||||
\(157\) | −3.91934 | − | 3.91934i | −0.312798 | − | 0.312798i | 0.533195 | − | 0.845992i | \(-0.320991\pi\) |
−0.845992 | + | 0.533195i | \(0.820991\pi\) | |||||||
\(158\) | −0.542943 | − | 0.157568i | −0.0431942 | − | 0.0125354i | ||||
\(159\) | −4.44252 | −0.352315 | ||||||||
\(160\) | 6.19389 | − | 11.0289i | 0.489670 | − | 0.871908i | ||||
\(161\) | −4.46264 | −0.351705 | ||||||||
\(162\) | −1.35818 | − | 0.394157i | −0.106708 | − | 0.0309679i | ||||
\(163\) | 3.22819 | + | 3.22819i | 0.252851 | + | 0.252851i | 0.822139 | − | 0.569287i | \(-0.192781\pi\) |
−0.569287 | + | 0.822139i | \(0.692781\pi\) | |||||||
\(164\) | 4.60609 | + | 2.91934i | 0.359675 | + | 0.227962i | ||||
\(165\) | 6.72666 | − | 0.778008i | 0.523669 | − | 0.0605678i | ||||
\(166\) | 0.192688 | + | 0.350255i | 0.0149555 | + | 0.0271851i | ||||
\(167\) | 6.95700 | − | 6.95700i | 0.538349 | − | 0.538349i | −0.384695 | − | 0.923044i | \(-0.625693\pi\) |
0.923044 | + | 0.384695i | \(0.125693\pi\) | |||||||
\(168\) | 6.56188 | + | 7.42988i | 0.506260 | + | 0.573227i | ||||
\(169\) | 12.7360i | 0.979691i | ||||||||
\(170\) | −1.76001 | + | 10.4216i | −0.134986 | + | 0.799297i | ||||
\(171\) | 4.95634i | 0.379021i | ||||||||
\(172\) | −2.43034 | − | 10.8430i | −0.185312 | − | 0.826771i | ||||
\(173\) | 0.627343 | − | 0.627343i | 0.0476960 | − | 0.0476960i | −0.682857 | − | 0.730553i | \(-0.739263\pi\) |
0.730553 | + | 0.682857i | \(0.239263\pi\) | |||||||
\(174\) | 4.34258 | − | 2.38900i | 0.329210 | − | 0.181110i | ||||
\(175\) | −14.8921 | − | 9.23530i | −1.12574 | − | 0.698123i | ||||
\(176\) | 10.9543 | − | 5.17035i | 0.825715 | − | 0.389730i | ||||
\(177\) | 6.14134 | + | 6.14134i | 0.461611 | + | 0.461611i | ||||
\(178\) | −1.68804 | + | 5.81662i | −0.126524 | + | 0.435974i | ||||
\(179\) | −8.93968 | −0.668183 | −0.334091 | − | 0.942541i | \(-0.608429\pi\) | ||||
−0.334091 | + | 0.942541i | \(0.608429\pi\) | |||||||
\(180\) | 4.22258 | − | 1.47302i | 0.314733 | − | 0.109792i | ||||
\(181\) | −1.00933 | −0.0750228 | −0.0375114 | − | 0.999296i | \(-0.511943\pi\) | ||||
−0.0375114 | + | 0.999296i | \(0.511943\pi\) | |||||||
\(182\) | −0.709789 | + | 2.44577i | −0.0526131 | + | 0.181293i | ||||
\(183\) | 10.8131 | + | 10.8131i | 0.799326 | + | 0.799326i | ||||
\(184\) | −0.222998 | + | 3.59465i | −0.0164396 | + | 0.265001i | ||||
\(185\) | 0.132007 | + | 1.14134i | 0.00970538 | + | 0.0839127i | ||||
\(186\) | −4.77801 | + | 2.62855i | −0.350341 | + | 0.192734i | ||||
\(187\) | −7.15688 | + | 7.15688i | −0.523363 | + | 0.523363i | ||||
\(188\) | −16.1643 | + | 3.62305i | −1.17890 | + | 0.264238i | ||||
\(189\) | 3.50466i | 0.254927i | ||||||||
\(190\) | −9.08245 | − | 12.7735i | −0.658910 | − | 0.926688i | ||||
\(191\) | − | 21.6262i | − | 1.56481i | −0.622768 | − | 0.782407i | \(-0.713992\pi\) | ||
0.622768 | − | 0.782407i | \(-0.286008\pi\) | |||||||
\(192\) | 6.31265 | − | 4.91431i | 0.455576 | − | 0.354660i | ||||
\(193\) | 11.5653 | − | 11.5653i | 0.832492 | − | 0.832492i | −0.155365 | − | 0.987857i | \(-0.549655\pi\) |
0.987857 | + | 0.155365i | \(0.0496555\pi\) | |||||||
\(194\) | 6.49362 | + | 11.8037i | 0.466214 | + | 0.847455i | ||||
\(195\) | 0.900390 | + | 0.713703i | 0.0644783 | + | 0.0511093i | ||||
\(196\) | 5.65599 | − | 8.92392i | 0.403999 | − | 0.637423i | ||||
\(197\) | −9.42401 | − | 9.42401i | −0.671433 | − | 0.671433i | 0.286614 | − | 0.958046i | \(-0.407470\pi\) |
−0.958046 | + | 0.286614i | \(0.907470\pi\) | |||||||
\(198\) | 4.11297 | + | 1.19363i | 0.292296 | + | 0.0848274i | ||||
\(199\) | 11.0130 | 0.780688 | 0.390344 | − | 0.920669i | \(-0.372356\pi\) | ||||
0.390344 | + | 0.920669i | \(0.372356\pi\) | |||||||
\(200\) | −8.18317 | + | 11.5341i | −0.578638 | + | 0.815585i | ||||
\(201\) | −5.55602 | −0.391891 | ||||||||
\(202\) | 7.86022 | + | 2.28112i | 0.553043 | + | 0.160499i | ||||
\(203\) | −8.68516 | − | 8.68516i | −0.609579 | − | 0.609579i | ||||
\(204\) | −3.57844 | + | 5.64600i | −0.250541 | + | 0.395299i | ||||
\(205\) | −4.77801 | − | 3.78734i | −0.333711 | − | 0.264519i | ||||
\(206\) | 12.6203 | + | 22.9404i | 0.879300 | + | 1.59834i | ||||
\(207\) | −0.900390 | + | 0.900390i | −0.0625814 | + | 0.0625814i | ||||
\(208\) | 1.93460 | + | 0.693949i | 0.134140 | + | 0.0481167i | ||||
\(209\) | − | 15.0093i | − | 1.03822i | ||||||
\(210\) | −6.42226 | − | 9.03224i | −0.443178 | − | 0.623284i | ||||
\(211\) | 27.9835i | 1.92646i | 0.268669 | + | 0.963232i | \(0.413416\pi\) | ||||
−0.268669 | + | 0.963232i | \(0.586584\pi\) | |||||||
\(212\) | 8.66993 | − | 1.94327i | 0.595453 | − | 0.133464i | ||||
\(213\) | 3.00933 | − | 3.00933i | 0.206196 | − | 0.206196i | ||||
\(214\) | 17.0201 | − | 9.36333i | 1.16347 | − | 0.640064i | ||||
\(215\) | 1.42741 | + | 12.3414i | 0.0973483 | + | 0.841673i | ||||
\(216\) | 2.82300 | + | 0.175128i | 0.192081 | + | 0.0119159i | ||||
\(217\) | 9.55602 | + | 9.55602i | 0.648705 | + | 0.648705i | ||||
\(218\) | 4.12392 | − | 14.2101i | 0.279307 | − | 0.962430i | ||||
\(219\) | −13.1277 | −0.887086 | ||||||||
\(220\) | −12.7873 | + | 4.46075i | −0.862118 | + | 0.300744i | ||||
\(221\) | −1.71733 | −0.115520 | ||||||||
\(222\) | −0.202527 | + | 0.697863i | −0.0135927 | + | 0.0468375i | ||||
\(223\) | −8.53479 | − | 8.53479i | −0.571531 | − | 0.571531i | 0.361025 | − | 0.932556i | \(-0.382427\pi\) |
−0.932556 | + | 0.361025i | \(0.882427\pi\) | |||||||
\(224\) | −16.0560 | − | 11.6297i | −1.07279 | − | 0.777039i | ||||
\(225\) | −4.86799 | + | 1.14134i | −0.324533 | + | 0.0760891i | ||||
\(226\) | −18.6553 | + | 10.2629i | −1.24093 | + | 0.682681i | ||||
\(227\) | −1.02765 | + | 1.02765i | −0.0682074 | + | 0.0682074i | −0.740388 | − | 0.672180i | \(-0.765358\pi\) |
0.672180 | + | 0.740388i | \(0.265358\pi\) | |||||||
\(228\) | −2.16803 | − | 9.67269i | −0.143581 | − | 0.640590i | ||||
\(229\) | 8.84802i | 0.584693i | 0.956312 | + | 0.292347i | \(0.0944361\pi\) | ||||
−0.956312 | + | 0.292347i | \(0.905564\pi\) | |||||||
\(230\) | 0.670534 | − | 3.97044i | 0.0442137 | − | 0.261803i | ||||
\(231\) | − | 10.6132i | − | 0.698297i | ||||||
\(232\) | −7.42988 | + | 6.56188i | −0.487795 | + | 0.430809i | ||||
\(233\) | −4.91002 | + | 4.91002i | −0.321666 | + | 0.321666i | −0.849406 | − | 0.527740i | \(-0.823040\pi\) |
0.527740 | + | 0.849406i | \(0.323040\pi\) | |||||||
\(234\) | 0.350255 | + | 0.636672i | 0.0228969 | + | 0.0416205i | ||||
\(235\) | 18.3980 | − | 2.12792i | 1.20015 | − | 0.138810i | ||||
\(236\) | −14.6717 | − | 9.29892i | −0.955045 | − | 0.605308i | ||||
\(237\) | 0.282672 | + | 0.282672i | 0.0183615 | + | 0.0183615i | ||||
\(238\) | 15.9089 | + | 4.61694i | 1.03122 | + | 0.299272i | ||||
\(239\) | 19.0259 | 1.23068 | 0.615340 | − | 0.788262i | \(-0.289019\pi\) | ||||
0.615340 | + | 0.788262i | \(0.289019\pi\) | |||||||
\(240\) | −7.59637 | + | 4.72178i | −0.490343 | + | 0.304789i | ||||
\(241\) | 2.90663 | 0.187232 | 0.0936161 | − | 0.995608i | \(-0.470157\pi\) | ||||
0.0936161 | + | 0.995608i | \(0.470157\pi\) | |||||||
\(242\) | 2.48459 | + | 0.721054i | 0.159716 | + | 0.0463511i | ||||
\(243\) | 0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | −25.8325 | − | 16.3727i | −1.65376 | − | 1.04815i | ||||
\(245\) | −7.33765 | + | 9.25700i | −0.468785 | + | 0.591408i | ||||
\(246\) | −1.85866 | − | 3.37856i | −0.118504 | − | 0.215409i | ||||
\(247\) | 1.80078 | − | 1.80078i | 0.114581 | − | 0.114581i | ||||
\(248\) | 8.17486 | − | 7.21984i | 0.519104 | − | 0.458460i | ||||
\(249\) | − | 0.282672i | − | 0.0179136i | ||||||
\(250\) | 10.4543 | − | 11.8620i | 0.661190 | − | 0.750219i | ||||
\(251\) | 2.77379i | 0.175080i | 0.996161 | + | 0.0875401i | \(0.0279006\pi\) | ||||
−0.996161 | + | 0.0875401i | \(0.972099\pi\) | |||||||
\(252\) | −1.53303 | − | 6.83963i | −0.0965717 | − | 0.430856i | ||||
\(253\) | 2.72666 | − | 2.72666i | 0.171423 | − | 0.171423i | ||||
\(254\) | 3.11505 | − | 1.71370i | 0.195456 | − | 0.107527i | ||||
\(255\) | 4.64240 | − | 5.85673i | 0.290718 | − | 0.366763i | ||||
\(256\) | −10.1700 | + | 12.3520i | −0.635624 | + | 0.771999i | ||||
\(257\) | −2.08066 | − | 2.08066i | −0.129788 | − | 0.129788i | 0.639229 | − | 0.769017i | \(-0.279254\pi\) |
−0.769017 | + | 0.639229i | \(0.779254\pi\) | |||||||
\(258\) | −2.18994 | + | 7.54604i | −0.136340 | + | 0.469796i | ||||
\(259\) | 1.80078 | 0.111895 | ||||||||
\(260\) | −2.06937 | − | 0.998995i | −0.128337 | − | 0.0619550i | ||||
\(261\) | −3.50466 | −0.216933 | ||||||||
\(262\) | −7.17290 | + | 24.7162i | −0.443143 | + | 1.52697i | ||||
\(263\) | 4.75646 | + | 4.75646i | 0.293296 | + | 0.293296i | 0.838381 | − | 0.545085i | \(-0.183503\pi\) |
−0.545085 | + | 0.838381i | \(0.683503\pi\) | |||||||
\(264\) | −8.54891 | − | 0.530340i | −0.526149 | − | 0.0326402i | ||||
\(265\) | −9.86799 | + | 1.14134i | −0.606186 | + | 0.0701117i | ||||
\(266\) | −21.5233 | + | 11.8407i | −1.31968 | + | 0.726001i | ||||
\(267\) | 3.02831 | − | 3.02831i | 0.185329 | − | 0.185329i | ||||
\(268\) | 10.8430 | − | 2.43034i | 0.662342 | − | 0.148457i | ||||
\(269\) | 21.6846i | 1.32214i | 0.750326 | + | 0.661068i | \(0.229896\pi\) | ||||
−0.750326 | + | 0.661068i | \(0.770104\pi\) | |||||||
\(270\) | −3.11812 | − | 0.526593i | −0.189763 | − | 0.0320474i | ||||
\(271\) | 3.15556i | 0.191687i | 0.995396 | + | 0.0958434i | \(0.0305548\pi\) | ||||
−0.995396 | + | 0.0958434i | \(0.969445\pi\) | |||||||
\(272\) | 4.51391 | − | 12.5839i | 0.273696 | − | 0.763012i | ||||
\(273\) | 1.27334 | − | 1.27334i | 0.0770663 | − | 0.0770663i | ||||
\(274\) | −5.70636 | − | 10.3727i | −0.344734 | − | 0.626635i | ||||
\(275\) | 14.7418 | − | 3.45632i | 0.888962 | − | 0.208424i | ||||
\(276\) | 1.36333 | − | 2.15103i | 0.0820627 | − | 0.129477i | ||||
\(277\) | −3.53397 | − | 3.53397i | −0.212336 | − | 0.212336i | 0.592923 | − | 0.805259i | \(-0.297974\pi\) |
−0.805259 | + | 0.592923i | \(0.797974\pi\) | |||||||
\(278\) | −16.8604 | − | 4.89305i | −1.01122 | − | 0.293466i | ||||
\(279\) | 3.85607 | 0.230857 | ||||||||
\(280\) | 16.4845 | + | 14.8179i | 0.985136 | + | 0.885537i | ||||
\(281\) | 0.179969 | 0.0107361 | 0.00536804 | − | 0.999986i | \(-0.498291\pi\) | ||||
0.00536804 | + | 0.999986i | \(0.498291\pi\) | |||||||
\(282\) | 11.2493 | + | 3.26467i | 0.669887 | + | 0.194408i | ||||
\(283\) | −9.84007 | − | 9.84007i | −0.584931 | − | 0.584931i | 0.351323 | − | 0.936254i | \(-0.385732\pi\) |
−0.936254 | + | 0.351323i | \(0.885732\pi\) | |||||||
\(284\) | −4.55658 | + | 7.18930i | −0.270384 | + | 0.426606i | ||||
\(285\) | 1.27334 | + | 11.0093i | 0.0754264 | + | 0.652136i | ||||
\(286\) | −1.06068 | − | 1.92804i | −0.0627193 | − | 0.114007i | ||||
\(287\) | −6.75712 | + | 6.75712i | −0.398860 | + | 0.398860i | ||||
\(288\) | −5.58591 | + | 0.893077i | −0.329153 | + | 0.0526250i | ||||
\(289\) | − | 5.82936i | − | 0.342903i | ||||||
\(290\) | 9.03224 | − | 6.42226i | 0.530391 | − | 0.377128i | ||||
\(291\) | − | 9.52612i | − | 0.558431i | ||||||
\(292\) | 25.6197 | − | 5.74238i | 1.49928 | − | 0.336047i | ||||
\(293\) | 15.8680 | − | 15.8680i | 0.927018 | − | 0.927018i | −0.0704942 | − | 0.997512i | \(-0.522458\pi\) |
0.997512 | + | 0.0704942i | \(0.0224576\pi\) | |||||||
\(294\) | −6.54569 | + | 3.60101i | −0.381752 | + | 0.210015i | ||||
\(295\) | 15.2193 | + | 12.0637i | 0.886101 | + | 0.702377i | ||||
\(296\) | 0.0899847 | − | 1.45052i | 0.00523026 | − | 0.0843100i | ||||
\(297\) | −2.14134 | − | 2.14134i | −0.124253 | − | 0.124253i | ||||
\(298\) | 2.28112 | − | 7.86022i | 0.132142 | − | 0.455330i | ||||
\(299\) | 0.654274 | 0.0378376 | ||||||||
\(300\) | 9.00102 | − | 4.35679i | 0.519674 | − | 0.251539i | ||||
\(301\) | 19.4720 | 1.12235 | ||||||||
\(302\) | 7.12274 | − | 24.5434i | 0.409868 | − | 1.41231i | ||||
\(303\) | −4.09226 | − | 4.09226i | −0.235094 | − | 0.235094i | ||||
\(304\) | 8.46216 | + | 17.9287i | 0.485338 | + | 1.02828i | ||||
\(305\) | 26.7967 | + | 21.2406i | 1.53437 | + | 1.21624i | ||||
\(306\) | 4.14134 | − | 2.27829i | 0.236744 | − | 0.130241i | ||||
\(307\) | −7.78477 | + | 7.78477i | −0.444300 | + | 0.444300i | −0.893454 | − | 0.449154i | \(-0.851725\pi\) |
0.449154 | + | 0.893454i | \(0.351725\pi\) | |||||||
\(308\) | 4.64248 | + | 20.7125i | 0.264530 | + | 1.18020i | ||||
\(309\) | − | 18.5140i | − | 1.05322i | ||||||
\(310\) | −9.93789 | + | 7.06621i | −0.564434 | + | 0.401334i | ||||
\(311\) | − | 7.05788i | − | 0.400215i | −0.979774 | − | 0.200108i | \(-0.935871\pi\) | ||
0.979774 | − | 0.200108i | \(-0.0641292\pi\) | |||||||
\(312\) | −0.962047 | − | 1.08930i | −0.0544652 | − | 0.0616697i | ||||
\(313\) | −11.3013 | + | 11.3013i | −0.638789 | + | 0.638789i | −0.950257 | − | 0.311468i | \(-0.899179\pi\) |
0.311468 | + | 0.950257i | \(0.399179\pi\) | |||||||
\(314\) | −3.77832 | − | 6.86799i | −0.213223 | − | 0.387583i | ||||
\(315\) | 0.900390 | + | 7.78477i | 0.0507312 | + | 0.438622i | ||||
\(316\) | −0.675305 | − | 0.428009i | −0.0379889 | − | 0.0240774i | ||||
\(317\) | 19.4754 | + | 19.4754i | 1.09385 | + | 1.09385i | 0.995114 | + | 0.0987310i | \(0.0314783\pi\) |
0.0987310 | + | 0.995114i | \(0.468522\pi\) | |||||||
\(318\) | −6.03372 | − | 1.75105i | −0.338354 | − | 0.0981940i | ||||
\(319\) | 10.6132 | 0.594225 | ||||||||
\(320\) | 12.7595 | − | 12.5378i | 0.713277 | − | 0.700882i | ||||
\(321\) | −13.7360 | −0.766668 | ||||||||
\(322\) | −6.06105 | − | 1.75898i | −0.337769 | − | 0.0980241i | ||||
\(323\) | −11.7135 | − | 11.7135i | −0.651755 | − | 0.651755i | ||||
\(324\) | −1.68928 | − | 1.07067i | −0.0938489 | − | 0.0594816i | ||||
\(325\) | 2.18336 | + | 1.35400i | 0.121111 | + | 0.0751064i | ||||
\(326\) | 3.11203 | + | 5.65685i | 0.172359 | + | 0.313304i | ||||
\(327\) | −7.39820 | + | 7.39820i | −0.409122 | + | 0.409122i | ||||
\(328\) | 5.10520 | + | 5.78050i | 0.281887 | + | 0.319175i | ||||
\(329\) | − | 29.0280i | − | 1.60036i | ||||||
\(330\) | 9.44264 | + | 1.59469i | 0.519800 | + | 0.0877846i | ||||
\(331\) | − | 15.0143i | − | 0.825259i | −0.910899 | − | 0.412630i | \(-0.864610\pi\) | ||
0.910899 | − | 0.412630i | \(-0.135390\pi\) | |||||||
\(332\) | 0.123648 | + | 0.551657i | 0.00678607 | + | 0.0302761i | ||||
\(333\) | 0.363328 | − | 0.363328i | 0.0199103 | − | 0.0199103i | ||||
\(334\) | 12.1910 | − | 6.70668i | 0.667061 | − | 0.366973i | ||||
\(335\) | −12.3414 | + | 1.42741i | −0.674280 | + | 0.0779875i | ||||
\(336\) | 5.98365 | + | 12.6775i | 0.326435 | + | 0.691614i | ||||
\(337\) | −21.5840 | − | 21.5840i | −1.17576 | − | 1.17576i | −0.980815 | − | 0.194940i | \(-0.937549\pi\) |
−0.194940 | − | 0.980815i | \(-0.562451\pi\) | |||||||
\(338\) | −5.01997 | + | 17.2977i | −0.273051 | + | 0.940871i | ||||
\(339\) | 15.0557 | 0.817714 | ||||||||
\(340\) | −6.49812 | + | 13.4606i | −0.352410 | + | 0.730002i | ||||
\(341\) | −11.6774 | −0.632365 | ||||||||
\(342\) | −1.95358 | + | 6.73158i | −0.105637 | + | 0.364002i | ||||
\(343\) | −4.25583 | − | 4.25583i | −0.229793 | − | 0.229793i | ||||
\(344\) | 0.973012 | − | 15.6846i | 0.0524613 | − | 0.845659i | ||||
\(345\) | −1.76868 | + | 2.23132i | −0.0952225 | + | 0.120130i | ||||
\(346\) | 1.09931 | − | 0.604770i | 0.0590995 | − | 0.0325127i | ||||
\(347\) | −16.9969 | + | 16.9969i | −0.912444 | + | 0.912444i | −0.996464 | − | 0.0840201i | \(-0.973224\pi\) |
0.0840201 | + | 0.996464i | \(0.473224\pi\) | |||||||
\(348\) | 6.83963 | − | 1.53303i | 0.366643 | − | 0.0821790i | ||||
\(349\) | − | 4.38538i | − | 0.234744i | −0.993088 | − | 0.117372i | \(-0.962553\pi\) | ||
0.993088 | − | 0.117372i | \(-0.0374469\pi\) | |||||||
\(350\) | −16.5860 | − | 18.4130i | −0.886559 | − | 0.984216i | ||||
\(351\) | − | 0.513824i | − | 0.0274259i | ||||||
\(352\) | 16.9159 | − | 2.70451i | 0.901618 | − | 0.144151i | ||||
\(353\) | −2.62734 | + | 2.62734i | −0.139839 | + | 0.139839i | −0.773561 | − | 0.633722i | \(-0.781526\pi\) |
0.633722 | + | 0.773561i | \(0.281526\pi\) | |||||||
\(354\) | 5.92036 | + | 10.7617i | 0.314664 | + | 0.571976i | ||||
\(355\) | 5.91137 | − | 7.45763i | 0.313743 | − | 0.395810i | ||||
\(356\) | −4.58532 | + | 7.23464i | −0.243021 | + | 0.383435i | ||||
\(357\) | −8.28267 | − | 8.28267i | −0.438366 | − | 0.438366i | ||||
\(358\) | −12.1416 | − | 3.52363i | −0.641706 | − | 0.186230i | ||||
\(359\) | −34.9952 | −1.84697 | −0.923487 | − | 0.383630i | \(-0.874674\pi\) | ||||
−0.923487 | + | 0.383630i | \(0.874674\pi\) | |||||||
\(360\) | 6.31561 | − | 0.336258i | 0.332862 | − | 0.0177224i | ||||
\(361\) | 5.56534 | 0.292913 | ||||||||
\(362\) | −1.37085 | − | 0.397834i | −0.0720500 | − | 0.0209097i | ||||
\(363\) | −1.29355 | − | 1.29355i | −0.0678939 | − | 0.0678939i | ||||
\(364\) | −1.92804 | + | 3.04202i | −0.101057 | + | 0.159445i | ||||
\(365\) | −29.1600 | + | 3.37266i | −1.52630 | + | 0.176533i | ||||
\(366\) | 10.4240 | + | 18.9481i | 0.544872 | + | 0.990433i | ||||
\(367\) | −9.93581 | + | 9.93581i | −0.518645 | + | 0.518645i | −0.917161 | − | 0.398516i | \(-0.869525\pi\) |
0.398516 | + | 0.917161i | \(0.369525\pi\) | |||||||
\(368\) | −1.71973 | + | 4.79427i | −0.0896469 | + | 0.249918i | ||||
\(369\) | 2.72666i | 0.141944i | ||||||||
\(370\) | −0.270576 | + | 1.60217i | −0.0140666 | + | 0.0832927i | ||||
\(371\) | 15.5695i | 0.808330i | ||||||||
\(372\) | −7.52543 | + | 1.68674i | −0.390176 | + | 0.0874536i | ||||
\(373\) | −7.08998 | + | 7.08998i | −0.367105 | + | 0.367105i | −0.866421 | − | 0.499315i | \(-0.833585\pi\) |
0.499315 | + | 0.866421i | \(0.333585\pi\) | |||||||
\(374\) | −12.5412 | + | 6.89937i | −0.648492 | + | 0.356758i | ||||
\(375\) | −10.5199 | + | 3.78585i | −0.543243 | + | 0.195500i | ||||
\(376\) | −23.3820 | − | 1.45052i | −1.20583 | − | 0.0748051i | ||||
\(377\) | 1.27334 | + | 1.27334i | 0.0655805 | + | 0.0655805i | ||||
\(378\) | −1.38139 | + | 4.75995i | −0.0710509 | + | 0.244825i | ||||
\(379\) | −30.0388 | −1.54299 | −0.771495 | − | 0.636235i | \(-0.780491\pi\) | ||||
−0.771495 | + | 0.636235i | \(0.780491\pi\) | |||||||
\(380\) | −7.30079 | − | 20.9286i | −0.374523 | − | 1.07361i | ||||
\(381\) | −2.51399 | −0.128796 | ||||||||
\(382\) | 8.52410 | − | 29.3721i | 0.436131 | − | 1.50281i | ||||
\(383\) | 11.9133 | + | 11.9133i | 0.608744 | + | 0.608744i | 0.942618 | − | 0.333874i | \(-0.108356\pi\) |
−0.333874 | + | 0.942618i | \(0.608356\pi\) | |||||||
\(384\) | 10.5107 | − | 4.18633i | 0.536372 | − | 0.213633i | ||||
\(385\) | −2.72666 | − | 23.5747i | −0.138963 | − | 1.20148i | ||||
\(386\) | 20.2663 | − | 11.1492i | 1.03153 | − | 0.567480i | ||||
\(387\) | 3.92870 | − | 3.92870i | 0.199707 | − | 0.199707i | ||||
\(388\) | 4.16697 | + | 18.5910i | 0.211546 | + | 0.943814i | ||||
\(389\) | 16.3340i | 0.828168i | 0.910239 | + | 0.414084i | \(0.135898\pi\) | ||||
−0.910239 | + | 0.414084i | \(0.864102\pi\) | |||||||
\(390\) | 0.941576 | + | 1.32423i | 0.0476786 | + | 0.0670549i | ||||
\(391\) | − | 4.25583i | − | 0.215227i | ||||||
\(392\) | 11.1992 | − | 9.89090i | 0.565647 | − | 0.499566i | ||||
\(393\) | 12.8680 | − | 12.8680i | 0.649104 | − | 0.649104i | ||||
\(394\) | −9.08492 | − | 16.5140i | −0.457692 | − | 0.831963i | ||||
\(395\) | 0.700510 | + | 0.555267i | 0.0352465 | + | 0.0279385i | ||||
\(396\) | 5.11566 | + | 3.24231i | 0.257072 | + | 0.162932i | ||||
\(397\) | −19.1927 | − | 19.1927i | −0.963253 | − | 0.963253i | 0.0360950 | − | 0.999348i | \(-0.488508\pi\) |
−0.999348 | + | 0.0360950i | \(0.988508\pi\) | |||||||
\(398\) | 14.9575 | + | 4.34083i | 0.749753 | + | 0.217586i | ||||
\(399\) | 17.3703 | 0.869604 | ||||||||
\(400\) | −15.6604 | + | 12.4399i | −0.783021 | + | 0.621995i | ||||
\(401\) | 26.5653 | 1.32661 | 0.663305 | − | 0.748349i | \(-0.269153\pi\) | ||||
0.663305 | + | 0.748349i | \(0.269153\pi\) | |||||||
\(402\) | −7.54604 | − | 2.18994i | −0.376362 | − | 0.109224i | ||||
\(403\) | −1.40102 | − | 1.40102i | −0.0697898 | − | 0.0697898i | ||||
\(404\) | 9.77644 | + | 6.19632i | 0.486396 | + | 0.308278i | ||||
\(405\) | 1.75233 | + | 1.38900i | 0.0870741 | + | 0.0690202i | ||||
\(406\) | −8.37266 | − | 15.2193i | −0.415528 | − | 0.755321i | ||||
\(407\) | −1.10027 | + | 1.10027i | −0.0545383 | + | 0.0545383i | ||||
\(408\) | −7.08556 | + | 6.25779i | −0.350787 | + | 0.309807i | ||||
\(409\) | 25.3947i | 1.25569i | 0.778339 | + | 0.627844i | \(0.216062\pi\) | ||||
−0.778339 | + | 0.627844i | \(0.783938\pi\) | |||||||
\(410\) | −4.99657 | − | 7.02715i | −0.246763 | − | 0.347046i | ||||
\(411\) | 8.37122i | 0.412922i | ||||||||
\(412\) | 8.09849 | + | 36.1315i | 0.398984 | + | 1.78007i | ||||
\(413\) | 21.5233 | − | 21.5233i | 1.05909 | − | 1.05909i | ||||
\(414\) | −1.57778 | + | 0.867993i | −0.0775438 | + | 0.0426595i | ||||
\(415\) | −0.0726218 | − | 0.627889i | −0.00356487 | − | 0.0308218i | ||||
\(416\) | 2.35400 | + | 1.70504i | 0.115414 | + | 0.0835964i | ||||
\(417\) | 8.77801 | + | 8.77801i | 0.429861 | + | 0.429861i | ||||
\(418\) | 5.91603 | − | 20.3853i | 0.289362 | − | 0.997078i | ||||
\(419\) | 40.0788 | 1.95798 | 0.978988 | − | 0.203919i | \(-0.0653679\pi\) | ||||
0.978988 | + | 0.203919i | \(0.0653679\pi\) | |||||||
\(420\) | −5.16244 | − | 14.7987i | −0.251901 | − | 0.722105i | ||||
\(421\) | 19.3947 | 0.945240 | 0.472620 | − | 0.881266i | \(-0.343308\pi\) | ||||
0.472620 | + | 0.881266i | \(0.343308\pi\) | |||||||
\(422\) | −11.0299 | + | 38.0065i | −0.536927 | + | 1.85013i | ||||
\(423\) | −5.85673 | − | 5.85673i | −0.284764 | − | 0.284764i | ||||
\(424\) | 12.5412 | + | 0.778008i | 0.609056 | + | 0.0377834i | ||||
\(425\) | 8.80731 | − | 14.2020i | 0.427217 | − | 0.688899i | ||||
\(426\) | 5.27334 | − | 2.90105i | 0.255494 | − | 0.140556i | ||||
\(427\) | 37.8962 | − | 37.8962i | 1.83393 | − | 1.83393i | ||||
\(428\) | 26.8069 | − | 6.00847i | 1.29576 | − | 0.290430i | ||||
\(429\) | 1.55602i | 0.0751251i | ||||||||
\(430\) | −2.92576 | + | 17.3243i | −0.141093 | + | 0.835454i | ||||
\(431\) | − | 15.8241i | − | 0.762218i | −0.924530 | − | 0.381109i | \(-0.875542\pi\) | ||
0.924530 | − | 0.381109i | \(-0.124458\pi\) | |||||||
\(432\) | 3.76510 | + | 1.35056i | 0.181149 | + | 0.0649788i | ||||
\(433\) | −21.1214 | + | 21.1214i | −1.01503 | + | 1.01503i | −0.0151424 | + | 0.999885i | \(0.504820\pi\) |
−0.999885 | + | 0.0151424i | \(0.995180\pi\) | |||||||
\(434\) | 9.21218 | + | 16.7453i | 0.442199 | + | 0.803801i | ||||
\(435\) | −7.78477 | + | 0.900390i | −0.373251 | + | 0.0431704i | ||||
\(436\) | 11.2020 | − | 17.6743i | 0.536479 | − | 0.846447i | ||||
\(437\) | 4.46264 | + | 4.46264i | 0.213477 | + | 0.213477i | ||||
\(438\) | −17.8297 | − | 5.17436i | −0.851936 | − | 0.247241i | ||||
\(439\) | −6.61188 | −0.315568 | −0.157784 | − | 0.987474i | \(-0.550435\pi\) | ||||
−0.157784 | + | 0.987474i | \(0.550435\pi\) | |||||||
\(440\) | −19.1256 | + | 1.01829i | −0.911777 | + | 0.0485452i | ||||
\(441\) | 5.28267 | 0.251556 | ||||||||
\(442\) | −2.33243 | − | 0.676896i | −0.110942 | − | 0.0321967i | ||||
\(443\) | 14.5419 | + | 14.5419i | 0.690906 | + | 0.690906i | 0.962431 | − | 0.271525i | \(-0.0875280\pi\) |
−0.271525 | + | 0.962431i | \(0.587528\pi\) | |||||||
\(444\) | −0.550135 | + | 0.867993i | −0.0261082 | + | 0.0411931i | ||||
\(445\) | 5.94865 | − | 7.50466i | 0.281993 | − | 0.355755i | ||||
\(446\) | −8.22769 | − | 14.9558i | −0.389593 | − | 0.708177i | ||||
\(447\) | −4.09226 | + | 4.09226i | −0.193557 | + | 0.193557i | ||||
\(448\) | −17.2230 | − | 22.1237i | −0.813711 | − | 1.04525i | ||||
\(449\) | 33.6120i | 1.58625i | 0.609060 | + | 0.793124i | \(0.291547\pi\) | ||||
−0.609060 | + | 0.793124i | \(0.708453\pi\) | |||||||
\(450\) | −7.06145 | − | 0.368618i | −0.332880 | − | 0.0173768i | ||||
\(451\) | − | 8.25715i | − | 0.388814i | ||||||
\(452\) | −29.3824 | + | 6.58575i | −1.38203 | + | 0.309768i | ||||
\(453\) | −12.7780 | + | 12.7780i | −0.600363 | + | 0.600363i | ||||
\(454\) | −1.80078 | + | 0.990671i | −0.0845148 | + | 0.0464945i | ||||
\(455\) | 2.50129 | − | 3.15556i | 0.117262 | − | 0.147935i | ||||
\(456\) | 0.867993 | − | 13.9918i | 0.0406475 | − | 0.655224i | ||||
\(457\) | 15.5653 | + | 15.5653i | 0.728116 | + | 0.728116i | 0.970244 | − | 0.242128i | \(-0.0778454\pi\) |
−0.242128 | + | 0.970244i | \(0.577845\pi\) | |||||||
\(458\) | −3.48751 | + | 12.0172i | −0.162960 | + | 0.561525i | ||||
\(459\) | −3.34225 | −0.156003 | ||||||||
\(460\) | 2.47568 | − | 5.12826i | 0.115429 | − | 0.239106i | ||||
\(461\) | −26.1473 | −1.21780 | −0.608900 | − | 0.793247i | \(-0.708389\pi\) | ||||
−0.608900 | + | 0.793247i | \(0.708389\pi\) | |||||||
\(462\) | 4.18326 | − | 14.4146i | 0.194623 | − | 0.670627i | ||||
\(463\) | 5.77898 | + | 5.77898i | 0.268572 | + | 0.268572i | 0.828525 | − | 0.559953i | \(-0.189181\pi\) |
−0.559953 | + | 0.828525i | \(0.689181\pi\) | |||||||
\(464\) | −12.6775 | + | 5.98365i | −0.588538 | + | 0.277784i | ||||
\(465\) | 8.56534 | − | 0.990671i | 0.397208 | − | 0.0459413i | ||||
\(466\) | −8.60398 | + | 4.73335i | −0.398572 | + | 0.219268i | ||||
\(467\) | 2.25517 | − | 2.25517i | 0.104357 | − | 0.104357i | −0.653000 | − | 0.757357i | \(-0.726490\pi\) |
0.757357 | + | 0.653000i | \(0.226490\pi\) | |||||||
\(468\) | 0.224760 | + | 1.00277i | 0.0103895 | + | 0.0463529i | ||||
\(469\) | 19.4720i | 0.899132i | ||||||||
\(470\) | 25.8264 | + | 4.36160i | 1.19128 | + | 0.201186i | ||||
\(471\) | 5.54279i | 0.255398i | ||||||||
\(472\) | −16.2615 | − | 18.4125i | −0.748495 | − | 0.847505i | ||||
\(473\) | −11.8973 | + | 11.8973i | −0.547038 | + | 0.547038i | ||||
\(474\) | 0.272501 | + | 0.495336i | 0.0125164 | + | 0.0227515i | ||||
\(475\) | 5.65685 | + | 24.1274i | 0.259554 | + | 1.10704i | ||||
\(476\) | 19.7873 | + | 12.5412i | 0.906951 | + | 0.574827i | ||||
\(477\) | 3.14134 | + | 3.14134i | 0.143832 | + | 0.143832i | ||||
\(478\) | 25.8405 | + | 7.49917i | 1.18191 | + | 0.343004i | ||||
\(479\) | 1.40102 | 0.0640143 | 0.0320071 | − | 0.999488i | \(-0.489810\pi\) | ||||
0.0320071 | + | 0.999488i | \(0.489810\pi\) | |||||||
\(480\) | −12.1783 | + | 3.41884i | −0.555862 | + | 0.156048i | ||||
\(481\) | −0.264015 | −0.0120380 | ||||||||
\(482\) | 3.94771 | + | 1.14567i | 0.179813 | + | 0.0521837i | ||||
\(483\) | 3.15556 | + | 3.15556i | 0.143583 | + | 0.143583i | ||||
\(484\) | 3.09030 | + | 1.95864i | 0.140468 | + | 0.0890289i | ||||
\(485\) | −2.44737 | − | 21.1600i | −0.111130 | − | 0.960826i | ||||
\(486\) | 0.681664 | + | 1.23909i | 0.0309209 | + | 0.0562061i | ||||
\(487\) | 0.978144 | − | 0.978144i | 0.0443239 | − | 0.0443239i | −0.684597 | − | 0.728921i | \(-0.740022\pi\) |
0.728921 | + | 0.684597i | \(0.240022\pi\) | |||||||
\(488\) | −28.6317 | − | 32.4190i | −1.29609 | − | 1.46754i | ||||
\(489\) | − | 4.56534i | − | 0.206452i | ||||||
\(490\) | −13.6145 | + | 9.68044i | −0.615042 | + | 0.437318i | ||||
\(491\) | − | 36.1134i | − | 1.62978i | −0.579619 | − | 0.814888i | \(-0.696799\pi\) | ||
0.579619 | − | 0.814888i | \(-0.303201\pi\) | |||||||
\(492\) | −1.19271 | − | 5.32128i | −0.0537715 | − | 0.239902i | ||||
\(493\) | 8.28267 | − | 8.28267i | 0.373033 | − | 0.373033i | ||||
\(494\) | 3.15556 | − | 1.73599i | 0.141976 | − | 0.0781057i | ||||
\(495\) | −5.30660 | − | 4.20633i | −0.238514 | − | 0.189060i | ||||
\(496\) | 13.9486 | − | 6.58363i | 0.626313 | − | 0.295614i | ||||
\(497\) | −10.5467 | − | 10.5467i | −0.473084 | − | 0.473084i | ||||
\(498\) | 0.111417 | − | 0.383918i | 0.00499272 | − | 0.0172038i | ||||
\(499\) | 6.35736 | 0.284595 | 0.142297 | − | 0.989824i | \(-0.454551\pi\) | ||||
0.142297 | + | 0.989824i | \(0.454551\pi\) | |||||||
\(500\) | 18.8743 | − | 11.9900i | 0.844084 | − | 0.536211i | ||||
\(501\) | −9.83869 | −0.439560 | ||||||||
\(502\) | −1.09331 | + | 3.76730i | −0.0487968 | + | 0.168143i | ||||
\(503\) | 17.1704 | + | 17.1704i | 0.765592 | + | 0.765592i | 0.977327 | − | 0.211735i | \(-0.0679114\pi\) |
−0.211735 | + | 0.977327i | \(0.567911\pi\) | |||||||
\(504\) | 0.613763 | − | 9.89367i | 0.0273392 | − | 0.440699i | ||||
\(505\) | −10.1413 | − | 8.03863i | −0.451284 | − | 0.357714i | ||||
\(506\) | 4.77801 | − | 2.62855i | 0.212408 | − | 0.116853i | ||||
\(507\) | 9.00570 | − | 9.00570i | 0.399957 | − | 0.399957i | ||||
\(508\) | 4.90626 | − | 1.09968i | 0.217680 | − | 0.0487906i | ||||
\(509\) | − | 18.8739i | − | 0.836572i | −0.908315 | − | 0.418286i | \(-0.862631\pi\) | ||
0.908315 | − | 0.418286i | \(-0.137369\pi\) | |||||||
\(510\) | 8.61366 | − | 6.12464i | 0.381419 | − | 0.271204i | ||||
\(511\) | 46.0081i | 2.03528i | ||||||||
\(512\) | −18.6812 | + | 12.7676i | −0.825602 | + | 0.564253i | ||||
\(513\) | 3.50466 | − | 3.50466i | 0.154735 | − | 0.154735i | ||||
\(514\) | −2.00579 | − | 3.64600i | −0.0884717 | − | 0.160818i | ||||
\(515\) | −4.75646 | − | 41.1244i | −0.209595 | − | 1.81216i | ||||
\(516\) | −5.94865 | + | 9.38567i | −0.261875 | + | 0.413181i | ||||
\(517\) | 17.7360 | + | 17.7360i | 0.780028 | + | 0.780028i | ||||
\(518\) | 2.44577 | + | 0.709789i | 0.107461 | + | 0.0311864i | ||||
\(519\) | −0.887197 | −0.0389436 | ||||||||
\(520\) | −2.41681 | − | 2.17247i | −0.105984 | − | 0.0952690i | ||||
\(521\) | −33.9346 | −1.48670 | −0.743351 | − | 0.668901i | \(-0.766765\pi\) | ||||
−0.743351 | + | 0.668901i | \(0.766765\pi\) | |||||||
\(522\) | −4.75995 | − | 1.38139i | −0.208337 | − | 0.0604617i | ||||
\(523\) | 3.78345 | + | 3.78345i | 0.165439 | + | 0.165439i | 0.784971 | − | 0.619532i | \(-0.212678\pi\) |
−0.619532 | + | 0.784971i | \(0.712678\pi\) | |||||||
\(524\) | −19.4841 | + | 30.7417i | −0.851167 | + | 1.34296i | ||||
\(525\) | 4.00000 | + | 17.0607i | 0.174574 | + | 0.744589i | ||||
\(526\) | 4.58532 | + | 8.33491i | 0.199929 | + | 0.363419i | ||||
\(527\) | −9.11317 | + | 9.11317i | −0.396976 | + | 0.396976i | ||||
\(528\) | −11.4019 | − | 4.08991i | −0.496203 | − | 0.177990i | ||||
\(529\) | − | 21.3786i | − | 0.929504i | ||||||
\(530\) | −13.8523 | − | 2.33940i | −0.601707 | − | 0.101617i | ||||
\(531\) | − | 8.68516i | − | 0.376904i | ||||||
\(532\) | −33.8995 | + | 7.59822i | −1.46973 | + | 0.329425i | ||||
\(533\) | 0.990671 | − | 0.990671i | 0.0429107 | − | 0.0429107i | ||||
\(534\) | 5.30660 | − | 2.91934i | 0.229639 | − | 0.126332i | ||||
\(535\) | −30.5112 | + | 3.52894i | −1.31911 | + | 0.152569i | ||||
\(536\) | 15.6846 | + | 0.973012i | 0.677473 | + | 0.0420277i | ||||
\(537\) | 6.32131 | + | 6.32131i | 0.272784 | + | 0.272784i | ||||
\(538\) | −8.54715 | + | 29.4515i | −0.368494 | + | 1.26975i | ||||
\(539\) | −15.9976 | −0.689063 | ||||||||
\(540\) | −4.02740 | − | 1.94424i | −0.173312 | − | 0.0836666i | ||||
\(541\) | 28.4813 | 1.22451 | 0.612253 | − | 0.790662i | \(-0.290263\pi\) | ||||
0.612253 | + | 0.790662i | \(0.290263\pi\) | |||||||
\(542\) | −1.24379 | + | 4.28581i | −0.0534252 | + | 0.184091i | ||||
\(543\) | 0.713703 | + | 0.713703i | 0.0306279 | + | 0.0306279i | ||||
\(544\) | 11.0907 | − | 15.3120i | 0.475510 | − | 0.656496i | ||||
\(545\) | −14.5327 | + | 18.3340i | −0.622510 | + | 0.785343i | ||||
\(546\) | 2.23132 | − | 1.22753i | 0.0954917 | − | 0.0525333i | ||||
\(547\) | 0.726896 | − | 0.726896i | 0.0310798 | − | 0.0310798i | −0.691396 | − | 0.722476i | \(-0.743004\pi\) |
0.722476 | + | 0.691396i | \(0.243004\pi\) | |||||||
\(548\) | −3.66178 | − | 16.3371i | −0.156424 | − | 0.697886i | ||||
\(549\) | − | 15.2920i | − | 0.652647i | ||||||
\(550\) | 21.3842 | + | 1.11629i | 0.911827 | + | 0.0475986i | ||||
\(551\) | 17.3703i | 0.740001i | ||||||||
\(552\) | 2.69948 | − | 2.38412i | 0.114898 | − | 0.101475i | ||||
\(553\) | 0.990671 | − | 0.990671i | 0.0421276 | − | 0.0421276i | ||||
\(554\) | −3.40681 | − | 6.19269i | −0.144742 | − | 0.263102i | ||||
\(555\) | 0.713703 | − | 0.900390i | 0.0302950 | − | 0.0382194i | ||||
\(556\) | −20.9707 | − | 13.2912i | −0.889356 | − | 0.563675i | ||||
\(557\) | −11.4427 | − | 11.4427i | −0.484841 | − | 0.484841i | 0.421832 | − | 0.906674i | \(-0.361387\pi\) |
−0.906674 | + | 0.421832i | \(0.861387\pi\) | |||||||
\(558\) | 5.23723 | + | 1.51990i | 0.221709 | + | 0.0643424i | ||||
\(559\) | −2.85481 | −0.120746 | ||||||||
\(560\) | 16.5482 | + | 26.6227i | 0.699291 | + | 1.12502i | ||||
\(561\) | 10.1214 | 0.427324 | ||||||||
\(562\) | 0.244430 | + | 0.0709362i | 0.0103107 | + | 0.00299226i | ||||
\(563\) | −7.08426 | − | 7.08426i | −0.298566 | − | 0.298566i | 0.541886 | − | 0.840452i | \(-0.317710\pi\) |
−0.840452 | + | 0.541886i | \(0.817710\pi\) | |||||||
\(564\) | 13.9918 | + | 8.86799i | 0.589159 | + | 0.373410i | ||||
\(565\) | 33.4427 | − | 3.86799i | 1.40694 | − | 0.162728i | ||||
\(566\) | −9.48601 | − | 17.2431i | −0.398727 | − | 0.724780i | ||||
\(567\) | 2.47817 | − | 2.47817i | 0.104073 | − | 0.104073i | ||||
\(568\) | −9.02235 | + | 7.96832i | −0.378569 | + | 0.334343i | ||||
\(569\) | − | 46.2427i | − | 1.93860i | −0.245890 | − | 0.969298i | \(-0.579080\pi\) | ||
0.245890 | − | 0.969298i | \(-0.420920\pi\) | |||||||
\(570\) | −2.60998 | + | 15.4545i | −0.109320 | + | 0.647318i | ||||
\(571\) | 31.2381i | 1.30727i | 0.756808 | + | 0.653637i | \(0.226758\pi\) | ||||
−0.756808 | + | 0.653637i | \(0.773242\pi\) | |||||||
\(572\) | −0.680641 | − | 3.03669i | −0.0284590 | − | 0.126970i | ||||
\(573\) | −15.2920 | + | 15.2920i | −0.638833 | + | 0.638833i | ||||
\(574\) | −11.8407 | + | 6.51399i | −0.494222 | + | 0.271889i | ||||
\(575\) | −3.35544 | + | 5.41074i | −0.139932 | + | 0.225643i | ||||
\(576\) | −7.93866 | − | 0.988770i | −0.330778 | − | 0.0411988i | ||||
\(577\) | 1.16131 | + | 1.16131i | 0.0483461 | + | 0.0483461i | 0.730866 | − | 0.682520i | \(-0.239116\pi\) |
−0.682520 | + | 0.730866i | \(0.739116\pi\) | |||||||
\(578\) | 2.29768 | − | 7.91729i | 0.0955709 | − | 0.329316i | ||||
\(579\) | −16.3559 | −0.679727 | ||||||||
\(580\) | 14.7987 | − | 5.16244i | 0.614484 | − | 0.214359i | ||||
\(581\) | −0.990671 | −0.0411000 | ||||||||
\(582\) | 3.75479 | − | 12.9381i | 0.155641 | − | 0.536303i | ||||
\(583\) | −9.51293 | − | 9.51293i | −0.393985 | − | 0.393985i | ||||
\(584\) | 37.0594 | + | 2.29902i | 1.53353 | + | 0.0951341i | ||||
\(585\) | −0.132007 | − | 1.14134i | −0.00545783 | − | 0.0471884i | ||||
\(586\) | 27.8060 | − | 15.2970i | 1.14866 | − | 0.631915i | ||||
\(587\) | 23.6268 | − | 23.6268i | 0.975183 | − | 0.975183i | −0.0245164 | − | 0.999699i | \(-0.507805\pi\) |
0.999699 | + | 0.0245164i | \(0.00780461\pi\) | |||||||
\(588\) | −10.3096 | + | 2.31077i | −0.425159 | + | 0.0952947i | ||||
\(589\) | − | 19.1120i | − | 0.787498i | ||||||
\(590\) | 15.9155 | + | 22.3834i | 0.655229 | + | 0.921511i | ||||
\(591\) | 13.3276i | 0.548223i | ||||||||
\(592\) | 0.693949 | − | 1.93460i | 0.0285211 | − | 0.0795115i | ||||
\(593\) | −0.260625 | + | 0.260625i | −0.0107026 | + | 0.0107026i | −0.712438 | − | 0.701735i | \(-0.752409\pi\) |
0.701735 | + | 0.712438i | \(0.252409\pi\) | |||||||
\(594\) | −2.06429 | − | 3.75233i | −0.0846988 | − | 0.153960i | ||||
\(595\) | −20.5259 | − | 16.2701i | −0.841479 | − | 0.667007i | ||||
\(596\) | 6.19632 | − | 9.77644i | 0.253811 | − | 0.400458i | ||||
\(597\) | −7.78734 | − | 7.78734i | −0.318714 | − | 0.318714i | ||||
\(598\) | 0.888619 | + | 0.257887i | 0.0363383 | + | 0.0105458i | ||||
\(599\) | −33.0851 | −1.35182 | −0.675910 | − | 0.736984i | \(-0.736249\pi\) | ||||
−0.675910 | + | 0.736984i | \(0.736249\pi\) | |||||||
\(600\) | 13.9422 | − | 2.36947i | 0.569189 | − | 0.0967333i | ||||
\(601\) | −24.3200 | −0.992033 | −0.496016 | − | 0.868313i | \(-0.665204\pi\) | ||||
−0.496016 | + | 0.868313i | \(0.665204\pi\) | |||||||
\(602\) | 26.4464 | + | 7.67501i | 1.07787 | + | 0.312810i | ||||
\(603\) | 3.92870 | + | 3.92870i | 0.159989 | + | 0.159989i | ||||
\(604\) | 19.3479 | − | 30.5267i | 0.787253 | − | 1.24211i | ||||
\(605\) | −3.20565 | − | 2.54099i | −0.130328 | − | 0.103306i | ||||
\(606\) | −3.94502 | − | 7.17101i | −0.160255 | − | 0.291302i | ||||
\(607\) | −4.53347 | + | 4.53347i | −0.184008 | + | 0.184008i | −0.793100 | − | 0.609092i | \(-0.791534\pi\) |
0.609092 | + | 0.793100i | \(0.291534\pi\) | |||||||
\(608\) | 4.42639 | + | 27.6857i | 0.179514 | + | 1.12280i | ||||
\(609\) | 12.2827i | 0.497719i | ||||||||
\(610\) | 28.0224 | + | 39.4106i | 1.13459 | + | 1.59569i | ||||
\(611\) | 4.25583i | 0.172173i | ||||||||
\(612\) | 6.52267 | − | 1.46199i | 0.263663 | − | 0.0590972i | ||||
\(613\) | −20.2793 | + | 20.2793i | −0.819073 | + | 0.819073i | −0.985974 | − | 0.166901i | \(-0.946624\pi\) |
0.166901 | + | 0.985974i | \(0.446624\pi\) | |||||||
\(614\) | −13.6415 | + | 7.50466i | −0.550526 | + | 0.302864i | ||||
\(615\) | 0.700510 | + | 6.05661i | 0.0282473 | + | 0.244226i | ||||
\(616\) | −1.85866 | + | 29.9611i | −0.0748877 | + | 1.20717i | ||||
\(617\) | 17.1086 | + | 17.1086i | 0.688768 | + | 0.688768i | 0.961960 | − | 0.273192i | \(-0.0880793\pi\) |
−0.273192 | + | 0.961960i | \(0.588079\pi\) | |||||||
\(618\) | 7.29742 | − | 25.1453i | 0.293545 | − | 1.01149i | ||||
\(619\) | 29.4373 | 1.18319 | 0.591593 | − | 0.806237i | \(-0.298499\pi\) | ||||
0.591593 | + | 0.806237i | \(0.298499\pi\) | |||||||
\(620\) | −16.2826 | + | 5.68007i | −0.653925 | + | 0.228117i | ||||
\(621\) | 1.27334 | 0.0510975 | ||||||||
\(622\) | 2.78191 | − | 9.58583i | 0.111544 | − | 0.384357i | ||||
\(623\) | −10.6132 | − | 10.6132i | −0.425209 | − | 0.425209i | ||||
\(624\) | −0.877272 | − | 1.85866i | −0.0351190 | − | 0.0744061i | ||||
\(625\) | −22.3947 | + | 11.1120i | −0.895788 | + | 0.444481i | ||||
\(626\) | −19.8037 | + | 10.8947i | −0.791514 | + | 0.435439i | ||||
\(627\) | −10.6132 | + | 10.6132i | −0.423850 | + | 0.423850i | ||||
\(628\) | −2.42456 | − | 10.8172i | −0.0967503 | − | 0.431653i | ||||
\(629\) | 1.71733i | 0.0684743i | ||||||||
\(630\) | −1.84553 | + | 10.9280i | −0.0735278 | + | 0.435381i | ||||
\(631\) | − | 5.25710i | − | 0.209282i | −0.994510 | − | 0.104641i | \(-0.966631\pi\) | ||
0.994510 | − | 0.104641i | \(-0.0333693\pi\) | |||||||
\(632\) | −0.748480 | − | 0.847487i | −0.0297729 | − | 0.0337112i | ||||
\(633\) | 19.7873 | − | 19.7873i | 0.786476 | − | 0.786476i | ||||
\(634\) | 18.7746 | + | 34.1273i | 0.745635 | + | 1.35537i | ||||
\(635\) | −5.58423 | + | 0.645875i | −0.221604 | + | 0.0256308i | ||||
\(636\) | −7.50466 | − | 4.75646i | −0.297579 | − | 0.188606i | ||||
\(637\) | −1.91934 | − | 1.91934i | −0.0760472 | − | 0.0760472i | ||||
\(638\) | 14.4146 | + | 4.18326i | 0.570679 | + | 0.165617i | ||||
\(639\) | −4.25583 | −0.168358 | ||||||||
\(640\) | 22.2715 | − | 11.9992i | 0.880357 | − | 0.474312i | ||||
\(641\) | 20.0773 | 0.793004 | 0.396502 | − | 0.918034i | \(-0.370224\pi\) | ||||
0.396502 | + | 0.918034i | \(0.370224\pi\) | |||||||
\(642\) | −18.6559 | − | 5.41413i | −0.736289 | − | 0.213679i | ||||
\(643\) | −9.28480 | − | 9.28480i | −0.366157 | − | 0.366157i | 0.499917 | − | 0.866073i | \(-0.333364\pi\) |
−0.866073 | + | 0.499917i | \(0.833364\pi\) | |||||||
\(644\) | −7.53866 | − | 4.77801i | −0.297065 | − | 0.188280i | ||||
\(645\) | 7.71733 | − | 9.73599i | 0.303869 | − | 0.383354i | ||||
\(646\) | −11.2920 | − | 20.5259i | −0.444278 | − | 0.807580i | ||||
\(647\) | 28.7387 | − | 28.7387i | 1.12983 | − | 1.12983i | 0.139630 | − | 0.990204i | \(-0.455409\pi\) |
0.990204 | − | 0.139630i | \(-0.0445912\pi\) | |||||||
\(648\) | −1.87233 | − | 2.12000i | −0.0735520 | − | 0.0832813i | ||||
\(649\) | 26.3013i | 1.03242i | ||||||||
\(650\) | 2.43170 | + | 2.69955i | 0.0953790 | + | 0.105885i | ||||
\(651\) | − | 13.5142i | − | 0.529665i | ||||||
\(652\) | 1.99700 | + | 8.90963i | 0.0782084 | + | 0.348928i | ||||
\(653\) | −11.9380 | + | 11.9380i | −0.467170 | + | 0.467170i | −0.900996 | − | 0.433826i | \(-0.857163\pi\) |
0.433826 | + | 0.900996i | \(0.357163\pi\) | |||||||
\(654\) | −12.9641 | + | 7.13201i | −0.506937 | + | 0.278884i | ||||
\(655\) | 25.2772 | − | 31.8891i | 0.987663 | − | 1.24601i | ||||
\(656\) | 4.65533 | + | 9.86318i | 0.181760 | + | 0.385093i | ||||
\(657\) | 9.28267 | + | 9.28267i | 0.362152 | + | 0.362152i | ||||
\(658\) | 11.4416 | − | 39.4251i | 0.446039 | − | 1.53695i | ||||
\(659\) | −17.9963 | −0.701038 | −0.350519 | − | 0.936556i | \(-0.613995\pi\) | ||||
−0.350519 | + | 0.936556i | \(0.613995\pi\) | |||||||
\(660\) | 12.1962 | + | 5.88774i | 0.474736 | + | 0.229180i | ||||
\(661\) | −9.06794 | −0.352702 | −0.176351 | − | 0.984327i | \(-0.556429\pi\) | ||||
−0.176351 | + | 0.984327i | \(0.556429\pi\) | |||||||
\(662\) | 5.91798 | − | 20.3920i | 0.230009 | − | 0.792558i | ||||
\(663\) | 1.21433 | + | 1.21433i | 0.0471608 | + | 0.0471608i | ||||
\(664\) | −0.0495037 | + | 0.797984i | −0.00192112 | + | 0.0309678i | ||||
\(665\) | 38.5840 | − | 4.46264i | 1.49622 | − | 0.173054i | ||||
\(666\) | 0.636672 | − | 0.350255i | 0.0246705 | − | 0.0135721i | ||||
\(667\) | −3.15556 | + | 3.15556i | −0.122184 | + | 0.122184i | ||||
\(668\) | 19.2010 | − | 4.30369i | 0.742908 | − | 0.166515i | ||||
\(669\) | 12.0700i | 0.466654i | ||||||||
\(670\) | −17.3243 | − | 2.92576i | −0.669298 | − | 0.113032i | ||||
\(671\) | 46.3089i | 1.78773i | ||||||||
\(672\) | 3.12993 | + | 19.5767i | 0.120740 | + | 0.755189i | ||||
\(673\) | 35.7640 | − | 35.7640i | 1.37860 | − | 1.37860i | 0.531611 | − | 0.846988i | \(-0.321587\pi\) |
0.846988 | − | 0.531611i | \(-0.178413\pi\) | |||||||
\(674\) | −20.8074 | − | 37.8223i | −0.801470 | − | 1.45686i | ||||
\(675\) | 4.24924 | + | 2.63514i | 0.163553 | + | 0.101427i | ||||
\(676\) | −13.6360 | + | 21.5147i | −0.524462 | + | 0.827487i | ||||
\(677\) | 16.2020 | + | 16.2020i | 0.622694 | + | 0.622694i | 0.946219 | − | 0.323525i | \(-0.104868\pi\) |
−0.323525 | + | 0.946219i | \(0.604868\pi\) | |||||||
\(678\) | 20.4483 | + | 5.93431i | 0.785312 | + | 0.227906i | ||||
\(679\) | −33.3859 | −1.28123 | ||||||||
\(680\) | −14.1312 | + | 15.7205i | −0.541906 | + | 0.602856i | ||||
\(681\) | 1.45331 | 0.0556911 | ||||||||
\(682\) | −15.8599 | − | 4.60272i | −0.607308 | − | 0.176247i | ||||
\(683\) | 33.3943 | + | 33.3943i | 1.27780 | + | 1.27780i | 0.941899 | + | 0.335897i | \(0.109039\pi\) |
0.335897 | + | 0.941899i | \(0.390961\pi\) | |||||||
\(684\) | −5.30660 | + | 8.37266i | −0.202903 | + | 0.320137i | ||||
\(685\) | 2.15066 | + | 18.5946i | 0.0821727 | + | 0.710465i | ||||
\(686\) | −4.10270 | − | 7.45763i | −0.156642 | − | 0.284734i | ||||
\(687\) | 6.25649 | − | 6.25649i | 0.238700 | − | 0.238700i | ||||
\(688\) | 7.50373 | − | 20.9190i | 0.286077 | − | 0.797528i | ||||
\(689\) | − | 2.28267i | − | 0.0869629i | ||||||
\(690\) | −3.28167 | + | 2.33339i | −0.124931 | + | 0.0888306i | ||||
\(691\) | − | 24.6365i | − | 0.937216i | −0.883406 | − | 0.468608i | \(-0.844756\pi\) | ||
0.883406 | − | 0.468608i | \(-0.155244\pi\) | |||||||
\(692\) | 1.73143 | − | 0.388082i | 0.0658193 | − | 0.0147527i | ||||
\(693\) | −7.50466 | + | 7.50466i | −0.285079 | + | 0.285079i | ||||
\(694\) | −29.7843 | + | 16.3854i | −1.13060 | + | 0.621980i | ||||
\(695\) | 21.7534 | + | 17.2431i | 0.825154 | + | 0.654067i | ||||
\(696\) | 9.89367 | + | 0.613763i | 0.375019 | + | 0.0232646i | ||||
\(697\) | −6.44398 | − | 6.44398i | −0.244083 | − | 0.244083i | ||||
\(698\) | 1.72853 | − | 5.95611i | 0.0654256 | − | 0.225442i | ||||
\(699\) | 6.94381 | 0.262639 | ||||||||
\(700\) | −15.2691 | − | 31.5456i | −0.577117 | − | 1.19231i | ||||
\(701\) | −23.0420 | −0.870285 | −0.435143 | − | 0.900362i | \(-0.643302\pi\) | ||||
−0.435143 | + | 0.900362i | \(0.643302\pi\) | |||||||
\(702\) | 0.202527 | − | 0.697863i | 0.00764389 | − | 0.0263391i | ||||
\(703\) | −1.80078 | − | 1.80078i | −0.0679177 | − | 0.0679177i | ||||
\(704\) | 24.0407 | + | 2.99430i | 0.906068 | + | 0.112852i | ||||
\(705\) | −14.5140 | − | 11.5047i | −0.546629 | − | 0.433291i | ||||
\(706\) | −4.60398 | + | 2.53281i | −0.173273 | + | 0.0953235i | ||||
\(707\) | −14.3420 | + | 14.3420i | −0.539387 | + | 0.539387i | ||||
\(708\) | 3.79911 | + | 16.9498i | 0.142779 | + | 0.637012i | ||||
\(709\) | − | 37.7360i | − | 1.41720i | −0.705608 | − | 0.708602i | \(-0.749326\pi\) | ||
0.705608 | − | 0.708602i | \(-0.250674\pi\) | |||||||
\(710\) | 10.9682 | − | 7.79877i | 0.411627 | − | 0.292683i | ||||
\(711\) | − | 0.399759i | − | 0.0149921i | ||||||
\(712\) | −9.07925 | + | 8.01857i | −0.340259 | + | 0.300509i | ||||
\(713\) | 3.47197 | − | 3.47197i | 0.130026 | − | 0.130026i | ||||
\(714\) | −7.98465 | − | 14.5140i | −0.298818 | − | 0.543173i | ||||
\(715\) | 0.399759 | + | 3.45632i | 0.0149501 | + | 0.129259i | ||||
\(716\) | −15.1016 | − | 9.57143i | −0.564374 | − | 0.357701i | ||||
\(717\) | −13.4533 | − | 13.4533i | −0.502423 | − | 0.502423i | ||||
\(718\) | −47.5296 | − | 13.7936i | −1.77379 | − | 0.514772i | ||||
\(719\) | 41.3423 | 1.54181 | 0.770903 | − | 0.636953i | \(-0.219805\pi\) | ||||
0.770903 | + | 0.636953i | \(0.219805\pi\) | |||||||
\(720\) | 8.71024 | + | 2.03264i | 0.324612 | + | 0.0757521i | ||||
\(721\) | −64.8853 | −2.41646 | ||||||||
\(722\) | 7.55871 | + | 2.19362i | 0.281306 | + | 0.0816380i | ||||
\(723\) | −2.05529 | − | 2.05529i | −0.0764372 | − | 0.0764372i | ||||
\(724\) | −1.70504 | − | 1.08066i | −0.0633673 | − | 0.0401623i | ||||
\(725\) | −17.0607 | + | 4.00000i | −0.633618 | + | 0.148556i | ||||
\(726\) | −1.24701 | − | 2.26673i | −0.0462808 | − | 0.0841264i | ||||
\(727\) | 9.48981 | − | 9.48981i | 0.351958 | − | 0.351958i | −0.508880 | − | 0.860838i | \(-0.669940\pi\) |
0.860838 | + | 0.508880i | \(0.169940\pi\) | |||||||
\(728\) | −3.81765 | + | 3.37165i | −0.141491 | + | 0.124962i | ||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | −40.9337 | − | 6.91295i | −1.51503 | − | 0.255860i | ||||
\(731\) | 18.5696i | 0.686821i | ||||||||
\(732\) | 6.68911 | + | 29.8435i | 0.247237 | + | 1.10305i | ||||
\(733\) | 3.21134 | − | 3.21134i | 0.118614 | − | 0.118614i | −0.645308 | − | 0.763922i | \(-0.723271\pi\) |
0.763922 | + | 0.645308i | \(0.223271\pi\) | |||||||
\(734\) | −17.4108 | + | 9.57830i | −0.642646 | + | 0.353542i | ||||
\(735\) | 11.7342 | − | 1.35718i | 0.432822 | − | 0.0500604i | ||||
\(736\) | −4.22538 | + | 5.83362i | −0.155750 | + | 0.215030i | ||||
\(737\) | −11.8973 | − | 11.8973i | −0.438243 | − | 0.438243i | ||||
\(738\) | −1.07473 | + | 3.70328i | −0.0395614 | + | 0.136320i | ||||
\(739\) | 25.3832 | 0.933737 | 0.466868 | − | 0.884327i | \(-0.345382\pi\) | ||||
0.466868 | + | 0.884327i | \(0.345382\pi\) | |||||||
\(740\) | −0.998995 | + | 2.06937i | −0.0367238 | + | 0.0760717i | ||||
\(741\) | −2.54669 | −0.0935549 | ||||||||
\(742\) | −6.13684 | + | 21.1462i | −0.225290 | + | 0.776300i | ||||
\(743\) | −32.7400 | − | 32.7400i | −1.20111 | − | 1.20111i | −0.973828 | − | 0.227285i | \(-0.927015\pi\) |
−0.227285 | − | 0.973828i | \(-0.572985\pi\) | |||||||
\(744\) | −10.8857 | − | 0.675305i | −0.399089 | − | 0.0247579i | ||||
\(745\) | −8.03863 | + | 10.1413i | −0.294513 | + | 0.371550i | ||||
\(746\) | −12.4240 | + | 6.83488i | −0.454875 | + | 0.250243i | ||||
\(747\) | −0.199879 | + | 0.199879i | −0.00731321 | + | 0.00731321i | ||||
\(748\) | −19.7526 | + | 4.42734i | −0.722228 | + | 0.161880i | ||||
\(749\) | 48.1400i | 1.75900i | ||||||||
\(750\) | −15.7800 | + | 0.995376i | −0.576205 | + | 0.0363460i | ||||
\(751\) | − | 24.4810i | − | 0.893323i | −0.894703 | − | 0.446662i | \(-0.852613\pi\) | ||
0.894703 | − | 0.446662i | \(-0.147387\pi\) | |||||||
\(752\) | −31.1851 | − | 11.1862i | −1.13720 | − | 0.407920i | ||||
\(753\) | 1.96137 | − | 1.96137i | 0.0714762 | − | 0.0714762i | ||||
\(754\) | 1.22753 | + | 2.23132i | 0.0447039 | + | 0.0812599i | ||||
\(755\) | −25.1005 | + | 31.6661i | −0.913499 | + | 1.15245i | ||||
\(756\) | −3.75233 | + | 5.92036i | −0.136471 | + | 0.215322i | ||||
\(757\) | 22.9473 | + | 22.9473i | 0.834035 | + | 0.834035i | 0.988066 | − | 0.154031i | \(-0.0492256\pi\) |
−0.154031 | + | 0.988066i | \(0.549226\pi\) | |||||||
\(758\) | −40.7980 | − | 11.8400i | −1.48185 | − | 0.430048i | ||||
\(759\) | −3.85607 | −0.139967 | ||||||||
\(760\) | −1.66661 | − | 31.3023i | −0.0604544 | − | 1.13546i | ||||
\(761\) | 37.0466 | 1.34294 | 0.671470 | − | 0.741032i | \(-0.265663\pi\) | ||||
0.671470 | + | 0.741032i | \(0.265663\pi\) | |||||||
\(762\) | −3.41444 | − | 0.990907i | −0.123692 | − | 0.0358968i | ||||
\(763\) | 25.9282 | + | 25.9282i | 0.938665 | + | 0.938665i | ||||
\(764\) | 23.1544 | − | 36.5327i | 0.837698 | − | 1.32170i | ||||
\(765\) | −7.42401 | + | 0.858664i | −0.268416 | + | 0.0310451i | ||||
\(766\) | 11.4847 | + | 20.8761i | 0.414959 | + | 0.754286i | ||||
\(767\) | −3.15556 | + | 3.15556i | −0.113941 | + | 0.113941i | ||||
\(768\) | 15.9254 | − | 1.54291i | 0.574660 | − | 0.0556749i | ||||
\(769\) | 6.62395i | 0.238866i | 0.992842 | + | 0.119433i | \(0.0381077\pi\) | ||||
−0.992842 | + | 0.119433i | \(0.961892\pi\) | |||||||
\(770\) | 5.58884 | − | 33.0933i | 0.201408 | − | 1.19260i | ||||
\(771\) | 2.94249i | 0.105971i | ||||||||
\(772\) | 31.9198 | − | 7.15447i | 1.14882 | − | 0.257495i | ||||
\(773\) | 16.2606 | − | 16.2606i | 0.584854 | − | 0.584854i | −0.351379 | − | 0.936233i | \(-0.614287\pi\) |
0.936233 | + | 0.351379i | \(0.114287\pi\) | |||||||
\(774\) | 6.88438 | − | 3.78734i | 0.247454 | − | 0.136133i | ||||
\(775\) | 18.7713 | − | 4.40108i | 0.674287 | − | 0.158091i | ||||
\(776\) | −1.66829 | + | 26.8922i | −0.0598880 | + | 0.965375i | ||||
\(777\) | −1.27334 | − | 1.27334i | −0.0456809 | − | 0.0456809i | ||||
\(778\) | −6.43817 | + | 22.1845i | −0.230819 | + | 0.795352i | ||||
\(779\) | 13.5142 | 0.484198 | ||||||||
\(780\) | 0.756872 | + | 2.16966i | 0.0271004 | + | 0.0776864i | ||||
\(781\) | 12.8880 | 0.461168 | ||||||||
\(782\) | 1.67747 | − | 5.78017i | 0.0599860 | − | 0.206698i | ||||
\(783\) | 2.47817 | + | 2.47817i | 0.0885626 | + | 0.0885626i | ||||
\(784\) | 19.1091 | − | 9.01932i | 0.682468 | − | 0.322118i | ||||
\(785\) | 1.42401 | + | 12.3120i | 0.0508250 | + | 0.439433i | ||||
\(786\) | 22.5490 | − | 12.4050i | 0.804296 | − | 0.442471i | ||||
\(787\) | −31.2117 | + | 31.2117i | −1.11258 | + | 1.11258i | −0.119776 | + | 0.992801i | \(0.538218\pi\) |
−0.992801 | + | 0.119776i | \(0.961782\pi\) | |||||||
\(788\) | −5.82981 | − | 26.0098i | −0.207678 | − | 0.926560i | ||||
\(789\) | − | 6.72666i | − | 0.239475i | ||||||
\(790\) | 0.732554 | + | 1.03026i | 0.0260631 | + | 0.0366550i | ||||
\(791\) | − | 52.7652i | − | 1.87612i | ||||||
\(792\) | 5.66999 | + | 6.42000i | 0.201474 | + | 0.228125i | ||||
\(793\) | −5.55602 | + | 5.55602i | −0.197300 | + | 0.197300i | ||||
\(794\) | −18.5021 | − | 33.6320i | −0.656615 | − | 1.19355i | ||||
\(795\) | 7.78477 | + | 6.17068i | 0.276097 | + | 0.218851i | ||||
\(796\) | 18.6040 | + | 11.7912i | 0.659401 | + | 0.417929i | ||||
\(797\) | 17.3540 | + | 17.3540i | 0.614710 | + | 0.614710i | 0.944170 | − | 0.329460i | \(-0.106867\pi\) |
−0.329460 | + | 0.944170i | \(0.606867\pi\) | |||||||
\(798\) | 23.5919 | + | 6.84663i | 0.835146 | + | 0.242368i | ||||
\(799\) | 27.6828 | 0.979346 | ||||||||
\(800\) | −26.1729 | + | 10.7229i | −0.925351 | + | 0.379112i | ||||
\(801\) | −4.28267 | −0.151321 | ||||||||
\(802\) | 36.0804 | + | 10.4709i | 1.27404 | + | 0.369741i | ||||
\(803\) | −28.1108 | − | 28.1108i | −0.992008 | − | 0.992008i | ||||
\(804\) | −9.38567 | − | 5.94865i | −0.331007 | − | 0.209793i | ||||
\(805\) | 7.82003 | + | 6.19863i | 0.275620 | + | 0.218473i | ||||
\(806\) | −1.35061 | − | 2.45505i | −0.0475732 | − | 0.0864756i | ||||
\(807\) | 15.3334 | − | 15.3334i | 0.539760 | − | 0.539760i | ||||
\(808\) | 10.8358 | + | 12.2691i | 0.381202 | + | 0.431627i | ||||
\(809\) | 27.4320i | 0.964458i | 0.876045 | + | 0.482229i | \(0.160173\pi\) | ||||
−0.876045 | + | 0.482229i | \(0.839827\pi\) | |||||||
\(810\) | 1.83249 | + | 2.57720i | 0.0643871 | + | 0.0905537i | ||||
\(811\) | − | 27.1840i | − | 0.954559i | −0.878751 | − | 0.477280i | \(-0.841623\pi\) | ||
0.878751 | − | 0.477280i | \(-0.158377\pi\) | |||||||
\(812\) | −5.37275 | − | 23.9706i | −0.188547 | − | 0.841203i | ||||
\(813\) | 2.23132 | − | 2.23132i | 0.0782558 | − | 0.0782558i | ||||
\(814\) | −1.92804 | + | 1.06068i | −0.0675777 | + | 0.0371768i | ||||
\(815\) | −1.17289 | − | 10.1408i | −0.0410846 | − | 0.355217i | ||||
\(816\) | −12.0900 | + | 5.70636i | −0.423234 | + | 0.199762i | ||||
\(817\) | −19.4720 | − | 19.4720i | −0.681238 | − | 0.681238i | ||||
\(818\) | −10.0095 | + | 34.4905i | −0.349974 | + | 1.20593i | ||||
\(819\) | −1.80078 | −0.0629243 | ||||||||
\(820\) | −4.01642 | − | 11.5135i | −0.140259 | − | 0.402070i | ||||
\(821\) | 23.6074 | 0.823903 | 0.411951 | − | 0.911206i | \(-0.364847\pi\) | ||||
0.411951 | + | 0.911206i | \(0.364847\pi\) | |||||||
\(822\) | −3.29957 | + | 11.3696i | −0.115086 | + | 0.396560i | ||||
\(823\) | 24.6596 | + | 24.6596i | 0.859579 | + | 0.859579i | 0.991288 | − | 0.131709i | \(-0.0420465\pi\) |
−0.131709 | + | 0.991288i | \(0.542046\pi\) | |||||||
\(824\) | −3.24231 | + | 52.2650i | −0.112951 | + | 1.82074i | ||||
\(825\) | −12.8680 | − | 7.98002i | −0.448006 | − | 0.277829i | ||||
\(826\) | 37.7160 | − | 20.7489i | 1.31231 | − | 0.721946i | ||||
\(827\) | −13.5406 | + | 13.5406i | −0.470854 | + | 0.470854i | −0.902191 | − | 0.431337i | \(-0.858042\pi\) |
0.431337 | + | 0.902191i | \(0.358042\pi\) | |||||||
\(828\) | −2.48503 | + | 0.556993i | −0.0863608 | + | 0.0193568i | ||||
\(829\) | − | 9.00933i | − | 0.312907i | −0.987685 | − | 0.156453i | \(-0.949994\pi\) | ||
0.987685 | − | 0.156453i | \(-0.0500061\pi\) | |||||||
\(830\) | 0.148853 | − | 0.881407i | 0.00516677 | − | 0.0305941i | ||||
\(831\) | 4.99779i | 0.173371i | ||||||||
\(832\) | 2.52509 | + | 3.24359i | 0.0875418 | + | 0.112451i | ||||
\(833\) | −12.4847 | + | 12.4847i | −0.432569 | + | 0.432569i | ||||
\(834\) | 8.46216 | + | 15.3820i | 0.293021 | + | 0.532635i | ||||
\(835\) | −21.8543 | + | 2.52768i | −0.756299 | + | 0.0874738i | ||||
\(836\) | 16.0700 | − | 25.3550i | 0.555793 | − | 0.876920i | ||||
\(837\) | −2.72666 | − | 2.72666i | −0.0942470 | − | 0.0942470i | ||||
\(838\) | 54.4340 | + | 15.7973i | 1.88039 | + | 0.545709i | ||||
\(839\) | −10.2597 | −0.354203 | −0.177102 | − | 0.984193i | \(-0.556672\pi\) | ||||
−0.177102 | + | 0.984193i | \(0.556672\pi\) | |||||||
\(840\) | −1.17847 | − | 22.1341i | −0.0406612 | − | 0.763699i | ||||
\(841\) | 16.7173 | 0.576460 | ||||||||
\(842\) | 26.3414 | + | 7.64455i | 0.907785 | + | 0.263449i | ||||
\(843\) | −0.127258 | − | 0.127258i | −0.00438298 | − | 0.00438298i | ||||
\(844\) | −29.9611 | + | 47.2720i | −1.03130 | + | 1.62717i | ||||
\(845\) | 17.6903 | − | 22.3177i | 0.608566 | − | 0.767751i | ||||
\(846\) | −5.64600 | − | 10.2629i | −0.194113 | − | 0.352847i | ||||
\(847\) | −4.53347 | + | 4.53347i | −0.155772 | + | 0.155772i | ||||
\(848\) | 16.7265 | + | 5.99988i | 0.574392 | + | 0.206037i | ||||
\(849\) | 13.9160i | 0.477594i | ||||||||
\(850\) | 17.5597 | − | 15.8174i | 0.602293 | − | 0.542531i | ||||
\(851\) | − | 0.654274i | − | 0.0224282i | ||||||
\(852\) | 8.30559 | − | 1.86161i | 0.284545 | − | 0.0637777i | ||||
\(853\) | 17.1086 | − | 17.1086i | 0.585789 | − | 0.585789i | −0.350699 | − | 0.936488i | \(-0.614056\pi\) |
0.936488 | + | 0.350699i | \(0.114056\pi\) | |||||||
\(854\) | 66.4067 | − | 36.5327i | 2.27239 | − | 1.25012i | ||||
\(855\) | 6.88438 | − | 8.68516i | 0.235441 | − | 0.297026i | ||||
\(856\) | 38.7767 | + | 2.40555i | 1.32536 | + | 0.0822200i | ||||
\(857\) | −26.7674 | − | 26.7674i | −0.914356 | − | 0.914356i | 0.0822556 | − | 0.996611i | \(-0.473788\pi\) |
−0.996611 | + | 0.0822556i | \(0.973788\pi\) | |||||||
\(858\) | −0.613314 | + | 2.11334i | −0.0209382 | + | 0.0721483i | ||||
\(859\) | −28.6378 | −0.977109 | −0.488554 | − | 0.872533i | \(-0.662476\pi\) | ||||
−0.488554 | + | 0.872533i | \(0.662476\pi\) | |||||||
\(860\) | −10.8022 | + | 22.3763i | −0.368352 | + | 0.763025i | ||||
\(861\) | 9.55602 | 0.325668 | ||||||||
\(862\) | 6.23716 | − | 21.4918i | 0.212438 | − | 0.732015i | ||||
\(863\) | −15.8157 | − | 15.8157i | −0.538371 | − | 0.538371i | 0.384679 | − | 0.923050i | \(-0.374312\pi\) |
−0.923050 | + | 0.384679i | \(0.874312\pi\) | |||||||
\(864\) | 4.58134 | + | 3.31834i | 0.155860 | + | 0.112892i | ||||
\(865\) | −1.97070 | + | 0.227931i | −0.0670057 | + | 0.00774990i | ||||
\(866\) | −37.0116 | + | 20.3614i | −1.25771 | + | 0.691908i | ||||
\(867\) | −4.12198 | + | 4.12198i | −0.139990 | + | 0.139990i | ||||
\(868\) | 5.91147 | + | 26.3741i | 0.200648 | + | 0.895196i | ||||
\(869\) | 1.21059i | 0.0410665i | ||||||||
\(870\) | −10.9280 | − | 1.84553i | −0.370493 | − | 0.0625694i | ||||
\(871\) | − | 2.85481i | − | 0.0967316i | ||||||
\(872\) | 22.1808 | − | 19.5895i | 0.751135 | − | 0.663384i | ||||
\(873\) | −6.73599 | + | 6.73599i | −0.227979 | + | 0.227979i | ||||
\(874\) | 4.30207 | + | 7.82003i | 0.145520 | + | 0.264516i | ||||
\(875\) | 13.2681 | + | 36.8686i | 0.448545 | + | 1.24638i | ||||
\(876\) | −22.1763 | − | 14.0554i | −0.749269 | − | 0.474888i | ||||
\(877\) | −17.3727 | − | 17.3727i | −0.586633 | − | 0.586633i | 0.350085 | − | 0.936718i | \(-0.386153\pi\) |
−0.936718 | + | 0.350085i | \(0.886153\pi\) | |||||||
\(878\) | −8.98009 | − | 2.60612i | −0.303063 | − | 0.0879522i | ||||
\(879\) | −22.4407 | −0.756907 | ||||||||
\(880\) | −26.3773 | − | 6.15547i | −0.889178 | − | 0.207501i | ||||
\(881\) | 56.5254 | 1.90439 | 0.952194 | − | 0.305493i | \(-0.0988211\pi\) | ||||
0.952194 | + | 0.305493i | \(0.0988211\pi\) | |||||||
\(882\) | 7.17480 | + | 2.08220i | 0.241588 | + | 0.0701114i | ||||
\(883\) | −15.1962 | − | 15.1962i | −0.511392 | − | 0.511392i | 0.403561 | − | 0.914953i | \(-0.367772\pi\) |
−0.914953 | + | 0.403561i | \(0.867772\pi\) | |||||||
\(884\) | −2.90105 | − | 1.83869i | −0.0975728 | − | 0.0618418i | ||||
\(885\) | −2.23132 | − | 19.2920i | −0.0750050 | − | 0.648494i | ||||
\(886\) | 14.0187 | + | 25.4822i | 0.470966 | + | 0.856092i | ||||
\(887\) | −11.0676 | + | 11.0676i | −0.371613 | + | 0.371613i | −0.868065 | − | 0.496451i | \(-0.834636\pi\) |
0.496451 | + | 0.868065i | \(0.334636\pi\) | |||||||
\(888\) | −1.08930 | + | 0.962047i | −0.0365547 | + | 0.0322842i | ||||
\(889\) | 8.81070i | 0.295501i | ||||||||
\(890\) | 11.0373 | − | 7.84795i | 0.369972 | − | 0.263064i | ||||
\(891\) | 3.02831i | 0.101452i | ||||||||
\(892\) | −5.27973 | − | 23.5556i | −0.176778 | − | 0.788699i | ||||
\(893\) | −29.0280 | + | 29.0280i | −0.971385 | + | 0.971385i | ||||
\(894\) | −7.17101 | + | 3.94502i | −0.239834 | + | 0.131941i | ||||
\(895\) | 15.6653 | + | 12.4172i | 0.523633 | + | 0.415063i | ||||
\(896\) | −14.6717 | − | 36.8364i | −0.490146 | − | 1.23062i | ||||
\(897\) | −0.462642 | − | 0.462642i | −0.0154472 | − | 0.0154472i | ||||
\(898\) | −13.2484 | + | 45.6510i | −0.442105 | + | 1.52339i | ||||
\(899\) | 13.5142 | 0.450725 | ||||||||
\(900\) | −9.44540 | − | 3.28397i | −0.314847 | − | 0.109466i | ||||
\(901\) | −14.8480 | −0.494659 | ||||||||
\(902\) | 3.25461 | − | 11.2147i | 0.108367 | − | 0.373407i | ||||
\(903\) | −13.7688 | − | 13.7688i | −0.458196 | − | 0.458196i | ||||
\(904\) | −42.5023 | − | 2.63667i | −1.41361 | − | 0.0876944i | ||||
\(905\) | 1.76868 | + | 1.40196i | 0.0587929 | + | 0.0466028i | ||||
\(906\) | −22.3913 | + | 12.3182i | −0.743902 | + | 0.409246i | ||||
\(907\) | −28.1654 | + | 28.1654i | −0.935217 | + | 0.935217i | −0.998026 | − | 0.0628084i | \(-0.979994\pi\) |
0.0628084 | + | 0.998026i | \(0.479994\pi\) | |||||||
\(908\) | −2.83625 | + | 0.635716i | −0.0941244 | + | 0.0210970i | ||||
\(909\) | 5.78734i | 0.191954i | ||||||||
\(910\) | 4.64098 | − | 3.29991i | 0.153847 | − | 0.109391i | ||||
\(911\) | 34.8499i | 1.15463i | 0.816522 | + | 0.577315i | \(0.195899\pi\) | ||||
−0.816522 | + | 0.577315i | \(0.804101\pi\) | |||||||
\(912\) | 6.69383 | − | 18.6611i | 0.221655 | − | 0.617932i | ||||
\(913\) | 0.605296 | − | 0.605296i | 0.0200324 | − | 0.0200324i | ||||
\(914\) | 15.0053 | + | 27.2757i | 0.496331 | + | 0.902198i | ||||
\(915\) | −3.92870 | − | 33.9675i | −0.129879 | − | 1.12293i | ||||
\(916\) | −9.47329 | + | 14.9468i | −0.313006 | + | 0.493856i | ||||
\(917\) | −45.0980 | − | 45.0980i | −1.48927 | − | 1.48927i | ||||
\(918\) | −4.53936 | − | 1.31737i | −0.149821 | − | 0.0434797i | ||||
\(919\) | −21.1171 | −0.696590 | −0.348295 | − | 0.937385i | \(-0.613239\pi\) | ||||
−0.348295 | + | 0.937385i | \(0.613239\pi\) | |||||||
\(920\) | 5.38375 | − | 5.98927i | 0.177497 | − | 0.197461i | ||||
\(921\) | 11.0093 | 0.362770 | ||||||||
\(922\) | −35.5126 | − | 10.3061i | −1.16954 | − | 0.339414i | ||||
\(923\) | 1.54626 | + | 1.54626i | 0.0508959 | + | 0.0508959i | ||||
\(924\) | 11.3632 | − | 17.9287i | 0.373822 | − | 0.589810i | ||||
\(925\) | 1.35400 | − | 2.18336i | 0.0445192 | − | 0.0717884i | ||||
\(926\) | 5.57104 | + | 10.1267i | 0.183076 | + | 0.332784i | ||||
\(927\) | −13.0914 | + | 13.0914i | −0.429977 | + | 0.429977i | ||||
\(928\) | −19.5767 | + | 3.12993i | −0.642638 | + | 0.102745i | ||||
\(929\) | − | 39.0653i | − | 1.28169i | −0.767670 | − | 0.640845i | \(-0.778584\pi\) | ||
0.767670 | − | 0.640845i | \(-0.221416\pi\) | |||||||
\(930\) | 12.0237 | + | 2.03058i | 0.394273 | + | 0.0665854i | ||||
\(931\) | − | 26.1827i | − | 0.858105i | ||||||
\(932\) | −13.5514 | + | 3.03740i | −0.443891 | + | 0.0994933i | ||||
\(933\) | −4.99067 | + | 4.99067i | −0.163387 | + | 0.163387i | ||||
\(934\) | 3.95181 | − | 2.17403i | 0.129307 | − | 0.0711364i | ||||
\(935\) | 22.4822 | − | 2.60030i | 0.735246 | − | 0.0850388i | ||||
\(936\) | −0.0899847 | + | 1.45052i | −0.00294124 | + | 0.0474119i | ||||
\(937\) | 1.82936 | + | 1.82936i | 0.0597626 | + | 0.0597626i | 0.736356 | − | 0.676594i | \(-0.236545\pi\) |
−0.676594 | + | 0.736356i | \(0.736545\pi\) | |||||||
\(938\) | −7.67501 | + | 26.4464i | −0.250598 | + | 0.863504i | ||||
\(939\) | 15.9825 | 0.521569 | ||||||||
\(940\) | 33.3576 | + | 16.1035i | 1.08801 | + | 0.525237i | ||||
\(941\) | 1.58193 | 0.0515695 | 0.0257847 | − | 0.999668i | \(-0.491792\pi\) | ||||
0.0257847 | + | 0.999668i | \(0.491792\pi\) | |||||||
\(942\) | −2.18473 | + | 7.52808i | −0.0711823 | + | 0.245278i | ||||
\(943\) | 2.45505 | + | 2.45505i | 0.0799476 | + | 0.0799476i | ||||
\(944\) | −14.8285 | − | 31.4170i | −0.482627 | − | 1.02254i | ||||
\(945\) | 4.86799 | − | 6.14134i | 0.158356 | − | 0.199778i | ||||
\(946\) | −20.8480 | + | 11.4692i | −0.677827 | + | 0.372896i | ||||
\(947\) | −15.9429 | + | 15.9429i | −0.518075 | + | 0.518075i | −0.916989 | − | 0.398913i | \(-0.869387\pi\) |
0.398913 | + | 0.916989i | \(0.369387\pi\) | |||||||
\(948\) | 0.174865 | + | 0.780161i | 0.00567934 | + | 0.0253384i | ||||
\(949\) | − | 6.74531i | − | 0.218962i | ||||||
\(950\) | −1.82700 | + | 34.9990i | −0.0592756 | + | 1.13552i | ||||
\(951\) | − | 27.5423i | − | 0.893121i | ||||||
\(952\) | 21.9315 | + | 24.8325i | 0.710803 | + | 0.804826i | ||||
\(953\) | −27.2113 | + | 27.2113i | −0.881462 | + | 0.881462i | −0.993683 | − | 0.112221i | \(-0.964203\pi\) |
0.112221 | + | 0.993683i | \(0.464203\pi\) | |||||||
\(954\) | 3.02831 | + | 5.50466i | 0.0980450 | + | 0.178220i | ||||
\(955\) | −30.0388 | + | 37.8962i | −0.972033 | + | 1.22629i | ||||
\(956\) | 32.1400 | + | 20.3704i | 1.03948 | + | 0.658825i | ||||
\(957\) | −7.50466 | − | 7.50466i | −0.242591 | − | 0.242591i | ||||
\(958\) | 1.90283 | + | 0.552222i | 0.0614777 | + | 0.0178415i | ||||
\(959\) | 29.3383 | 0.947383 | ||||||||
\(960\) | −17.8879 | − | 0.156780i | −0.577328 | − | 0.00506006i | ||||
\(961\) | 16.1307 | 0.520345 | ||||||||
\(962\) | −0.358578 | − | 0.104063i | −0.0115610 | − | 0.00335513i | ||||
\(963\) | 9.71281 | + | 9.71281i | 0.312991 | + | 0.312991i | ||||
\(964\) | 4.91011 | + | 3.11203i | 0.158144 | + | 0.100232i | ||||
\(965\) | −36.3306 | + | 4.20202i | −1.16952 | + | 0.135268i | ||||
\(966\) | 3.04202 | + | 5.52960i | 0.0978755 | + | 0.177912i | ||||
\(967\) | 14.8921 | − | 14.8921i | 0.478899 | − | 0.478899i | −0.425880 | − | 0.904780i | \(-0.640036\pi\) |
0.904780 | + | 0.425880i | \(0.140036\pi\) | |||||||
\(968\) | 3.42516 | + | 3.87824i | 0.110089 | + | 0.124651i | ||||
\(969\) | 16.5653i | 0.532156i | ||||||||
\(970\) | 5.01639 | − | 29.7036i | 0.161067 | − | 0.953726i | ||||
\(971\) | − | 41.6250i | − | 1.33581i | −0.744246 | − | 0.667905i | \(-0.767191\pi\) | ||
0.744246 | − | 0.667905i | \(-0.232809\pi\) | |||||||
\(972\) | 0.437425 | + | 1.95158i | 0.0140304 | + | 0.0625969i | ||||
\(973\) | 30.7640 | − | 30.7640i | 0.986248 | − | 0.986248i | ||||
\(974\) | 1.71403 | − | 0.942949i | 0.0549212 | − | 0.0302140i | ||||
\(975\) | −0.586446 | − | 2.50129i | −0.0187813 | − | 0.0801054i | ||||
\(976\) | −26.1086 | − | 55.3160i | −0.835717 | − | 1.77062i | ||||
\(977\) | −12.0807 | − | 12.0807i | −0.386494 | − | 0.386494i | 0.486941 | − | 0.873435i | \(-0.338113\pi\) |
−0.873435 | + | 0.486941i | \(0.838113\pi\) | |||||||
\(978\) | 1.79946 | − | 6.20054i | 0.0575404 | − | 0.198271i | ||||
\(979\) | 12.9692 | 0.414499 | ||||||||
\(980\) | −22.3065 | + | 7.78148i | −0.712556 | + | 0.248570i | ||||
\(981\) | 10.4626 | 0.334046 | ||||||||
\(982\) | 14.2343 | − | 49.0484i | 0.454236 | − | 1.56520i | ||||
\(983\) | −22.2258 | − | 22.2258i | −0.708893 | − | 0.708893i | 0.257410 | − | 0.966302i | \(-0.417131\pi\) |
−0.966302 | + | 0.257410i | \(0.917131\pi\) | |||||||
\(984\) | 0.477513 | − | 7.69735i | 0.0152226 | − | 0.245383i | ||||
\(985\) | 3.42401 | + | 29.6040i | 0.109098 | + | 0.943261i | ||||
\(986\) | 14.5140 | − | 7.98465i | 0.462220 | − | 0.254283i | ||||
\(987\) | −20.5259 | + | 20.5259i | −0.653346 | + | 0.653346i | ||||
\(988\) | 4.97006 | − | 1.11399i | 0.158119 | − | 0.0354406i | ||||
\(989\) | − | 7.07472i | − | 0.224963i | ||||||
\(990\) | −5.54934 | − | 7.80457i | −0.176370 | − | 0.248045i | ||||
\(991\) | − | 0.353523i | − | 0.0112300i | −0.999984 | − | 0.00561501i | \(-0.998213\pi\) | ||
0.999984 | − | 0.00561501i | \(-0.00178732\pi\) | |||||||
\(992\) | 21.5397 | − | 3.44377i | 0.683886 | − | 0.109340i | ||||
\(993\) | −10.6167 | + | 10.6167i | −0.336911 | + | 0.336911i | ||||
\(994\) | −10.1672 | − | 18.4813i | −0.322484 | − | 0.586191i | ||||
\(995\) | −19.2984 | − | 15.2970i | −0.611799 | − | 0.484949i | ||||
\(996\) | 0.302648 | − | 0.477513i | 0.00958977 | − | 0.0151306i | ||||
\(997\) | 27.9380 | + | 27.9380i | 0.884805 | + | 0.884805i | 0.994018 | − | 0.109213i | \(-0.0348331\pi\) |
−0.109213 | + | 0.994018i | \(0.534833\pi\) | |||||||
\(998\) | 8.63442 | + | 2.50580i | 0.273318 | + | 0.0793197i | ||||
\(999\) | −0.513824 | −0.0162567 |
(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 | 60.2.j.a.7.6 | yes | 12 | |
3.2 | odd | 2 | 180.2.k.e.127.1 | 12 | |||
4.3 | odd | 2 | inner | 60.2.j.a.7.4 | ✓ | 12 | |
5.2 | odd | 4 | 300.2.j.d.43.3 | 12 | |||
5.3 | odd | 4 | inner | 60.2.j.a.43.4 | yes | 12 | |
5.4 | even | 2 | 300.2.j.d.7.1 | 12 | |||
8.3 | odd | 2 | 960.2.w.g.127.3 | 12 | |||
8.5 | even | 2 | 960.2.w.g.127.6 | 12 | |||
12.11 | even | 2 | 180.2.k.e.127.3 | 12 | |||
15.2 | even | 4 | 900.2.k.n.343.4 | 12 | |||
15.8 | even | 4 | 180.2.k.e.163.3 | 12 | |||
15.14 | odd | 2 | 900.2.k.n.307.6 | 12 | |||
20.3 | even | 4 | inner | 60.2.j.a.43.6 | yes | 12 | |
20.7 | even | 4 | 300.2.j.d.43.1 | 12 | |||
20.19 | odd | 2 | 300.2.j.d.7.3 | 12 | |||
40.3 | even | 4 | 960.2.w.g.703.6 | 12 | |||
40.13 | odd | 4 | 960.2.w.g.703.3 | 12 | |||
60.23 | odd | 4 | 180.2.k.e.163.1 | 12 | |||
60.47 | odd | 4 | 900.2.k.n.343.6 | 12 | |||
60.59 | even | 2 | 900.2.k.n.307.4 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
60.2.j.a.7.4 | ✓ | 12 | 4.3 | odd | 2 | inner | |
60.2.j.a.7.6 | yes | 12 | 1.1 | even | 1 | trivial | |
60.2.j.a.43.4 | yes | 12 | 5.3 | odd | 4 | inner | |
60.2.j.a.43.6 | yes | 12 | 20.3 | even | 4 | inner | |
180.2.k.e.127.1 | 12 | 3.2 | odd | 2 | |||
180.2.k.e.127.3 | 12 | 12.11 | even | 2 | |||
180.2.k.e.163.1 | 12 | 60.23 | odd | 4 | |||
180.2.k.e.163.3 | 12 | 15.8 | even | 4 | |||
300.2.j.d.7.1 | 12 | 5.4 | even | 2 | |||
300.2.j.d.7.3 | 12 | 20.19 | odd | 2 | |||
300.2.j.d.43.1 | 12 | 20.7 | even | 4 | |||
300.2.j.d.43.3 | 12 | 5.2 | odd | 4 | |||
900.2.k.n.307.4 | 12 | 60.59 | even | 2 | |||
900.2.k.n.307.6 | 12 | 15.14 | odd | 2 | |||
900.2.k.n.343.4 | 12 | 15.2 | even | 4 | |||
900.2.k.n.343.6 | 12 | 60.47 | odd | 4 | |||
960.2.w.g.127.3 | 12 | 8.3 | odd | 2 | |||
960.2.w.g.127.6 | 12 | 8.5 | even | 2 | |||
960.2.w.g.703.3 | 12 | 40.13 | odd | 4 | |||
960.2.w.g.703.6 | 12 | 40.3 | even | 4 |