Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [462,2,Mod(89,462)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(462, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("462.89");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 462.k (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.68908857338\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 6 x^{19} + 19 x^{18} - 42 x^{17} + 62 x^{16} - 42 x^{15} - 25 x^{14} + 6 x^{13} + 445 x^{12} + \cdots + 59049 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 353.8 | ||
Root | \(1.44390 + 0.956629i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 462.353 |
Dual form | 462.2.k.g.89.8 |
$q$-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 \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | ||||
\(3\) | 0.106512 | − | 1.72877i | 0.0614949 | − | 0.998107i | ||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | −0.0938814 | − | 0.162607i | −0.0419851 | − | 0.0727202i | 0.844269 | − | 0.535919i | \(-0.180035\pi\) |
−0.886254 | + | 0.463199i | \(0.846702\pi\) | |||||||
\(6\) | −0.772144 | − | 1.55042i | −0.315226 | − | 0.632955i | ||||
\(7\) | −2.64498 | + | 0.0638828i | −0.999708 | + | 0.0241454i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −2.97731 | − | 0.368271i | −0.992437 | − | 0.122757i | ||||
\(10\) | −0.162607 | − | 0.0938814i | −0.0514210 | − | 0.0296879i | ||||
\(11\) | −0.866025 | − | 0.500000i | −0.261116 | − | 0.150756i | ||||
\(12\) | −1.44390 | − | 0.956629i | −0.416819 | − | 0.276155i | ||||
\(13\) | − | 4.70512i | − | 1.30497i | −0.757804 | − | 0.652483i | \(-0.773727\pi\) | ||
0.757804 | − | 0.652483i | \(-0.226273\pi\) | |||||||
\(14\) | −2.25868 | + | 1.37781i | −0.603657 | + | 0.368236i | ||||
\(15\) | −0.291111 | + | 0.144980i | −0.0751645 | + | 0.0374337i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1.48653 | − | 2.57475i | 0.360538 | − | 0.624469i | −0.627512 | − | 0.778607i | \(-0.715927\pi\) |
0.988049 | + | 0.154138i | \(0.0492599\pi\) | |||||||
\(18\) | −2.76256 | + | 1.16972i | −0.651142 | + | 0.275706i | ||||
\(19\) | 1.61065 | − | 0.929908i | 0.369508 | − | 0.213336i | −0.303735 | − | 0.952756i | \(-0.598234\pi\) |
0.673244 | + | 0.739421i | \(0.264901\pi\) | |||||||
\(20\) | −0.187763 | −0.0419851 | ||||||||
\(21\) | −0.171284 | + | 4.57937i | −0.0373773 | + | 0.999301i | ||||
\(22\) | −1.00000 | −0.213201 | ||||||||
\(23\) | −2.05318 | + | 1.18540i | −0.428117 | + | 0.247173i | −0.698544 | − | 0.715567i | \(-0.746168\pi\) |
0.270427 | + | 0.962740i | \(0.412835\pi\) | |||||||
\(24\) | −1.72877 | − | 0.106512i | −0.352884 | − | 0.0217417i | ||||
\(25\) | 2.48237 | − | 4.29960i | 0.496475 | − | 0.859919i | ||||
\(26\) | −2.35256 | − | 4.07475i | −0.461375 | − | 0.799125i | ||||
\(27\) | −0.953778 | + | 5.10787i | −0.183555 | + | 0.983010i | ||||
\(28\) | −1.26717 | + | 2.32256i | −0.239472 | + | 0.438923i | ||||
\(29\) | 6.25425i | 1.16139i | 0.814123 | + | 0.580693i | \(0.197218\pi\) | ||||
−0.814123 | + | 0.580693i | \(0.802782\pi\) | |||||||
\(30\) | −0.179619 | + | 0.271112i | −0.0327939 | + | 0.0494980i | ||||
\(31\) | 8.78290 | + | 5.07081i | 1.57746 | + | 0.910745i | 0.995213 | + | 0.0977300i | \(0.0311582\pi\) |
0.582243 | + | 0.813015i | \(0.302175\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | −0.956629 | + | 1.44390i | −0.166528 | + | 0.251352i | ||||
\(34\) | − | 2.97307i | − | 0.509877i | ||||||
\(35\) | 0.258702 | + | 0.424096i | 0.0437287 | + | 0.0716853i | ||||
\(36\) | −1.80759 | + | 2.39429i | −0.301265 | + | 0.399048i | ||||
\(37\) | −2.73168 | − | 4.73141i | −0.449086 | − | 0.777840i | 0.549241 | − | 0.835664i | \(-0.314917\pi\) |
−0.998327 | + | 0.0578244i | \(0.981584\pi\) | |||||||
\(38\) | 0.929908 | − | 1.61065i | 0.150851 | − | 0.261282i | ||||
\(39\) | −8.13408 | − | 0.501153i | −1.30250 | − | 0.0802487i | ||||
\(40\) | −0.162607 | + | 0.0938814i | −0.0257105 | + | 0.0148440i | ||||
\(41\) | 0.187763 | 0.0293236 | 0.0146618 | − | 0.999893i | \(-0.495333\pi\) | ||||
0.0146618 | + | 0.999893i | \(0.495333\pi\) | |||||||
\(42\) | 2.14135 | + | 4.05150i | 0.330418 | + | 0.625159i | ||||
\(43\) | 7.86942 | 1.20008 | 0.600038 | − | 0.799972i | \(-0.295152\pi\) | ||||
0.600038 | + | 0.799972i | \(0.295152\pi\) | |||||||
\(44\) | −0.866025 | + | 0.500000i | −0.130558 | + | 0.0753778i | ||||
\(45\) | 0.219631 | + | 0.518707i | 0.0327406 | + | 0.0773242i | ||||
\(46\) | −1.18540 | + | 2.05318i | −0.174778 | + | 0.302724i | ||||
\(47\) | 2.79290 | + | 4.83744i | 0.407386 | + | 0.705613i | 0.994596 | − | 0.103822i | \(-0.0331071\pi\) |
−0.587210 | + | 0.809434i | \(0.699774\pi\) | |||||||
\(48\) | −1.55042 | + | 0.772144i | −0.223783 | + | 0.111449i | ||||
\(49\) | 6.99184 | − | 0.337937i | 0.998834 | − | 0.0482768i | ||||
\(50\) | − | 4.96475i | − | 0.702121i | ||||||
\(51\) | −4.29283 | − | 2.84412i | −0.601116 | − | 0.398257i | ||||
\(52\) | −4.07475 | − | 2.35256i | −0.565067 | − | 0.326241i | ||||
\(53\) | −9.50430 | − | 5.48731i | −1.30552 | − | 0.753740i | −0.324172 | − | 0.945998i | \(-0.605086\pi\) |
−0.981344 | + | 0.192258i | \(0.938419\pi\) | |||||||
\(54\) | 1.72794 | + | 4.90043i | 0.235143 | + | 0.666864i | ||||
\(55\) | 0.187763i | 0.0253179i | ||||||||
\(56\) | 0.0638828 | + | 2.64498i | 0.00853670 | + | 0.353450i | ||||
\(57\) | −1.43605 | − | 2.88349i | −0.190209 | − | 0.381928i | ||||
\(58\) | 3.12712 | + | 5.41634i | 0.410612 | + | 0.711200i | ||||
\(59\) | 2.32869 | − | 4.03341i | 0.303170 | − | 0.525105i | −0.673682 | − | 0.739021i | \(-0.735288\pi\) |
0.976852 | + | 0.213916i | \(0.0686218\pi\) | |||||||
\(60\) | −0.0199991 | + | 0.324599i | −0.00258187 | + | 0.0419056i | ||||
\(61\) | 10.8936 | − | 6.28942i | 1.39478 | − | 0.805278i | 0.400942 | − | 0.916103i | \(-0.368683\pi\) |
0.993840 | + | 0.110825i | \(0.0353495\pi\) | |||||||
\(62\) | 10.1416 | 1.28799 | ||||||||
\(63\) | 7.89845 | + | 0.783871i | 0.995111 | + | 0.0987585i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −0.765087 | + | 0.441723i | −0.0948974 | + | 0.0547890i | ||||
\(66\) | −0.106512 | + | 1.72877i | −0.0131108 | + | 0.212797i | ||||
\(67\) | −1.28973 | + | 2.23388i | −0.157566 | + | 0.272912i | −0.933990 | − | 0.357298i | \(-0.883698\pi\) |
0.776424 | + | 0.630210i | \(0.217031\pi\) | |||||||
\(68\) | −1.48653 | − | 2.57475i | −0.180269 | − | 0.312235i | ||||
\(69\) | 1.83060 | + | 3.67573i | 0.220378 | + | 0.442506i | ||||
\(70\) | 0.436091 | + | 0.237927i | 0.0521228 | + | 0.0284377i | ||||
\(71\) | 13.5203i | 1.60457i | 0.596944 | + | 0.802283i | \(0.296381\pi\) | ||||
−0.596944 | + | 0.802283i | \(0.703619\pi\) | |||||||
\(72\) | −0.368271 | + | 2.97731i | −0.0434012 | + | 0.350879i | ||||
\(73\) | −13.8911 | − | 8.02001i | −1.62583 | − | 0.938671i | −0.985320 | − | 0.170719i | \(-0.945391\pi\) |
−0.640507 | − | 0.767953i | \(-0.721276\pi\) | |||||||
\(74\) | −4.73141 | − | 2.73168i | −0.550016 | − | 0.317552i | ||||
\(75\) | −7.16862 | − | 4.74942i | −0.827761 | − | 0.548416i | ||||
\(76\) | − | 1.85982i | − | 0.213336i | ||||||
\(77\) | 2.32256 | + | 1.26717i | 0.264680 | + | 0.144407i | ||||
\(78\) | −7.29490 | + | 3.63303i | −0.825985 | + | 0.411360i | ||||
\(79\) | −3.99299 | − | 6.91606i | −0.449246 | − | 0.778117i | 0.549091 | − | 0.835763i | \(-0.314974\pi\) |
−0.998337 | + | 0.0576452i | \(0.981641\pi\) | |||||||
\(80\) | −0.0938814 | + | 0.162607i | −0.0104963 | + | 0.0181801i | ||||
\(81\) | 8.72875 | + | 2.19292i | 0.969861 | + | 0.243657i | ||||
\(82\) | 0.162607 | − | 0.0938814i | 0.0179570 | − | 0.0103675i | ||||
\(83\) | 14.7454 | 1.61851 | 0.809256 | − | 0.587456i | \(-0.199870\pi\) | ||||
0.809256 | + | 0.587456i | \(0.199870\pi\) | |||||||
\(84\) | 3.88021 | + | 2.43802i | 0.423366 | + | 0.266010i | ||||
\(85\) | −0.558232 | −0.0605488 | ||||||||
\(86\) | 6.81512 | − | 3.93471i | 0.734893 | − | 0.424291i | ||||
\(87\) | 10.8122 | + | 0.666155i | 1.15919 | + | 0.0714193i | ||||
\(88\) | −0.500000 | + | 0.866025i | −0.0533002 | + | 0.0923186i | ||||
\(89\) | 4.29254 | + | 7.43490i | 0.455008 | + | 0.788097i | 0.998689 | − | 0.0511950i | \(-0.0163030\pi\) |
−0.543680 | + | 0.839292i | \(0.682970\pi\) | |||||||
\(90\) | 0.449559 | + | 0.339398i | 0.0473877 | + | 0.0357757i | ||||
\(91\) | 0.300576 | + | 12.4449i | 0.0315089 | + | 1.30458i | ||||
\(92\) | 2.37080i | 0.247173i | ||||||||
\(93\) | 9.70177 | − | 14.6435i | 1.00603 | − | 1.51846i | ||||
\(94\) | 4.83744 | + | 2.79290i | 0.498944 | + | 0.288065i | ||||
\(95\) | −0.302420 | − | 0.174602i | −0.0310276 | − | 0.0179138i | ||||
\(96\) | −0.956629 | + | 1.44390i | −0.0976355 | + | 0.147368i | ||||
\(97\) | 1.00552i | 0.102095i | 0.998696 | + | 0.0510474i | \(0.0162559\pi\) | ||||
−0.998696 | + | 0.0510474i | \(0.983744\pi\) | |||||||
\(98\) | 5.88614 | − | 3.78858i | 0.594590 | − | 0.382705i | ||||
\(99\) | 2.39429 | + | 1.80759i | 0.240635 | + | 0.181669i | ||||
\(100\) | −2.48237 | − | 4.29960i | −0.248237 | − | 0.429960i | ||||
\(101\) | 8.20165 | − | 14.2057i | 0.816094 | − | 1.41352i | −0.0924454 | − | 0.995718i | \(-0.529468\pi\) |
0.908540 | − | 0.417799i | \(-0.137198\pi\) | |||||||
\(102\) | −5.13976 | − | 0.316669i | −0.508912 | − | 0.0313549i | ||||
\(103\) | −4.39355 | + | 2.53662i | −0.432910 | + | 0.249940i | −0.700585 | − | 0.713569i | \(-0.747078\pi\) |
0.267676 | + | 0.963509i | \(0.413744\pi\) | |||||||
\(104\) | −4.70512 | −0.461375 | ||||||||
\(105\) | 0.760720 | − | 0.402066i | 0.0742387 | − | 0.0392376i | ||||
\(106\) | −10.9746 | −1.06595 | ||||||||
\(107\) | −0.0207756 | + | 0.0119948i | −0.00200846 | + | 0.00115958i | −0.501004 | − | 0.865445i | \(-0.667036\pi\) |
0.498995 | + | 0.866605i | \(0.333702\pi\) | |||||||
\(108\) | 3.94665 | + | 3.37993i | 0.379767 | + | 0.325234i | ||||
\(109\) | 0.621447 | − | 1.07638i | 0.0595239 | − | 0.103098i | −0.834728 | − | 0.550663i | \(-0.814375\pi\) |
0.894252 | + | 0.447564i | \(0.147708\pi\) | |||||||
\(110\) | 0.0938814 | + | 0.162607i | 0.00895124 | + | 0.0155040i | ||||
\(111\) | −8.47050 | + | 4.21851i | −0.803984 | + | 0.400403i | ||||
\(112\) | 1.37781 | + | 2.25868i | 0.130191 | + | 0.213425i | ||||
\(113\) | 12.6838i | 1.19320i | 0.802541 | + | 0.596598i | \(0.203481\pi\) | ||||
−0.802541 | + | 0.596598i | \(0.796519\pi\) | |||||||
\(114\) | −2.68540 | − | 1.77915i | −0.251511 | − | 0.166633i | ||||
\(115\) | 0.385510 | + | 0.222574i | 0.0359490 | + | 0.0207552i | ||||
\(116\) | 5.41634 | + | 3.12712i | 0.502894 | + | 0.290346i | ||||
\(117\) | −1.73276 | + | 14.0086i | −0.160194 | + | 1.29510i | ||||
\(118\) | − | 4.65738i | − | 0.428747i | ||||||
\(119\) | −3.76737 | + | 6.90513i | −0.345354 | + | 0.632993i | ||||
\(120\) | 0.144980 | + | 0.291111i | 0.0132348 | + | 0.0265747i | ||||
\(121\) | 0.500000 | + | 0.866025i | 0.0454545 | + | 0.0787296i | ||||
\(122\) | 6.28942 | − | 10.8936i | 0.569417 | − | 0.986260i | ||||
\(123\) | 0.0199991 | − | 0.324599i | 0.00180325 | − | 0.0292681i | ||||
\(124\) | 8.78290 | − | 5.07081i | 0.788728 | − | 0.455372i | ||||
\(125\) | −1.87101 | −0.167348 | ||||||||
\(126\) | 7.23220 | − | 3.27037i | 0.644295 | − | 0.291348i | ||||
\(127\) | −5.24437 | −0.465363 | −0.232681 | − | 0.972553i | \(-0.574750\pi\) | ||||
−0.232681 | + | 0.972553i | \(0.574750\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 0.838191 | − | 13.6044i | 0.0737986 | − | 1.19780i | ||||
\(130\) | −0.441723 | + | 0.765087i | −0.0387417 | + | 0.0671026i | ||||
\(131\) | 1.00216 | + | 1.73580i | 0.0875595 | + | 0.151657i | 0.906479 | − | 0.422251i | \(-0.138760\pi\) |
−0.818920 | + | 0.573908i | \(0.805427\pi\) | |||||||
\(132\) | 0.772144 | + | 1.55042i | 0.0672065 | + | 0.134947i | ||||
\(133\) | −4.20073 | + | 2.56248i | −0.364249 | + | 0.222195i | ||||
\(134\) | 2.57946i | 0.222832i | ||||||||
\(135\) | 0.920119 | − | 0.324443i | 0.0791912 | − | 0.0279236i | ||||
\(136\) | −2.57475 | − | 1.48653i | −0.220783 | − | 0.127469i | ||||
\(137\) | −7.81301 | − | 4.51084i | −0.667511 | − | 0.385387i | 0.127622 | − | 0.991823i | \(-0.459266\pi\) |
−0.795133 | + | 0.606435i | \(0.792599\pi\) | |||||||
\(138\) | 3.42321 | + | 2.26798i | 0.291403 | + | 0.193063i | ||||
\(139\) | − | 4.19064i | − | 0.355445i | −0.984081 | − | 0.177723i | \(-0.943127\pi\) | ||
0.984081 | − | 0.177723i | \(-0.0568730\pi\) | |||||||
\(140\) | 0.496629 | − | 0.0119948i | 0.0419728 | − | 0.00101375i | ||||
\(141\) | 8.66031 | − | 4.31304i | 0.729329 | − | 0.363223i | ||||
\(142\) | 6.76015 | + | 11.7089i | 0.567300 | + | 0.982592i | ||||
\(143\) | −2.35256 | + | 4.07475i | −0.196731 | + | 0.340748i | ||||
\(144\) | 1.16972 | + | 2.76256i | 0.0974769 | + | 0.230213i | ||||
\(145\) | 1.01699 | − | 0.587158i | 0.0844562 | − | 0.0487608i | ||||
\(146\) | −16.0400 | −1.32748 | ||||||||
\(147\) | 0.160500 | − | 12.1233i | 0.0132378 | − | 0.999912i | ||||
\(148\) | −5.46337 | −0.449086 | ||||||||
\(149\) | −12.9762 | + | 7.49184i | −1.06306 | + | 0.613755i | −0.926276 | − | 0.376846i | \(-0.877009\pi\) |
−0.136780 | + | 0.990602i | \(0.543675\pi\) | |||||||
\(150\) | −8.58292 | − | 0.528807i | −0.700792 | − | 0.0431769i | ||||
\(151\) | 0.274177 | − | 0.474889i | 0.0223122 | − | 0.0386459i | −0.854654 | − | 0.519198i | \(-0.826231\pi\) |
0.876966 | + | 0.480553i | \(0.159564\pi\) | |||||||
\(152\) | −0.929908 | − | 1.61065i | −0.0754255 | − | 0.130641i | ||||
\(153\) | −5.37408 | + | 7.11839i | −0.434469 | + | 0.575488i | ||||
\(154\) | 2.64498 | − | 0.0638828i | 0.213139 | − | 0.00514782i | ||||
\(155\) | − | 1.90422i | − | 0.152951i | ||||||
\(156\) | −4.50105 | + | 6.79375i | −0.360373 | + | 0.543935i | ||||
\(157\) | 16.6072 | + | 9.58817i | 1.32540 | + | 0.765219i | 0.984584 | − | 0.174911i | \(-0.0559639\pi\) |
0.340814 | + | 0.940131i | \(0.389297\pi\) | |||||||
\(158\) | −6.91606 | − | 3.99299i | −0.550212 | − | 0.317665i | ||||
\(159\) | −10.4986 | + | 15.8463i | −0.832596 | + | 1.25669i | ||||
\(160\) | 0.187763i | 0.0148440i | ||||||||
\(161\) | 5.35488 | − | 3.26653i | 0.422024 | − | 0.257438i | ||||
\(162\) | 8.65578 | − | 2.46526i | 0.680062 | − | 0.193689i | ||||
\(163\) | −0.406286 | − | 0.703707i | −0.0318227 | − | 0.0551186i | 0.849675 | − | 0.527306i | \(-0.176798\pi\) |
−0.881498 | + | 0.472187i | \(0.843465\pi\) | |||||||
\(164\) | 0.0938814 | − | 0.162607i | 0.00733091 | − | 0.0126975i | ||||
\(165\) | 0.324599 | + | 0.0199991i | 0.0252700 | + | 0.00155692i | ||||
\(166\) | 12.7698 | − | 7.37268i | 0.991132 | − | 0.572231i | ||||
\(167\) | −14.3973 | −1.11409 | −0.557047 | − | 0.830481i | \(-0.688066\pi\) | ||||
−0.557047 | + | 0.830481i | \(0.688066\pi\) | |||||||
\(168\) | 4.57937 | + | 0.171284i | 0.353306 | + | 0.0132149i | ||||
\(169\) | −9.13815 | −0.702935 | ||||||||
\(170\) | −0.483443 | + | 0.279116i | −0.0370784 | + | 0.0214072i | ||||
\(171\) | −5.13786 | + | 2.17547i | −0.392902 | + | 0.166362i | ||||
\(172\) | 3.93471 | − | 6.81512i | 0.300019 | − | 0.519648i | ||||
\(173\) | −0.936038 | − | 1.62126i | −0.0711656 | − | 0.123262i | 0.828247 | − | 0.560363i | \(-0.189339\pi\) |
−0.899412 | + | 0.437101i | \(0.856005\pi\) | |||||||
\(174\) | 9.69670 | − | 4.82918i | 0.735105 | − | 0.366099i | ||||
\(175\) | −6.29116 | + | 11.5309i | −0.475567 | + | 0.871656i | ||||
\(176\) | 1.00000i | 0.0753778i | ||||||||
\(177\) | −6.72482 | − | 4.45538i | −0.505468 | − | 0.334887i | ||||
\(178\) | 7.43490 | + | 4.29254i | 0.557269 | + | 0.321739i | ||||
\(179\) | −3.52389 | − | 2.03452i | −0.263388 | − | 0.152067i | 0.362491 | − | 0.931987i | \(-0.381926\pi\) |
−0.625879 | + | 0.779920i | \(0.715260\pi\) | |||||||
\(180\) | 0.559028 | + | 0.0691477i | 0.0416675 | + | 0.00515396i | ||||
\(181\) | 13.0237i | 0.968044i | 0.875056 | + | 0.484022i | \(0.160825\pi\) | ||||
−0.875056 | + | 0.484022i | \(0.839175\pi\) | |||||||
\(182\) | 6.48278 | + | 10.6274i | 0.480536 | + | 0.787752i | ||||
\(183\) | −9.71268 | − | 19.5025i | −0.717982 | − | 1.44166i | ||||
\(184\) | 1.18540 | + | 2.05318i | 0.0873890 | + | 0.151362i | ||||
\(185\) | −0.512909 | + | 0.888384i | −0.0377098 | + | 0.0653153i | ||||
\(186\) | 1.08021 | − | 17.5326i | 0.0792047 | − | 1.28555i | ||||
\(187\) | −2.57475 | + | 1.48653i | −0.188285 | + | 0.108706i | ||||
\(188\) | 5.58579 | 0.407386 | ||||||||
\(189\) | 2.19642 | − | 13.5711i | 0.159766 | − | 0.987155i | ||||
\(190\) | −0.349204 | −0.0253340 | ||||||||
\(191\) | 4.63286 | − | 2.67479i | 0.335222 | − | 0.193541i | −0.322935 | − | 0.946421i | \(-0.604670\pi\) |
0.658157 | + | 0.752880i | \(0.271336\pi\) | |||||||
\(192\) | −0.106512 | + | 1.72877i | −0.00768687 | + | 0.124763i | ||||
\(193\) | 6.59123 | − | 11.4163i | 0.474447 | − | 0.821766i | −0.525125 | − | 0.851025i | \(-0.675981\pi\) |
0.999572 | + | 0.0292588i | \(0.00931468\pi\) | |||||||
\(194\) | 0.502758 | + | 0.870803i | 0.0360959 | + | 0.0625200i | ||||
\(195\) | 0.682148 | + | 1.36971i | 0.0488496 | + | 0.0980870i | ||||
\(196\) | 3.20326 | − | 6.22408i | 0.228804 | − | 0.444577i | ||||
\(197\) | 14.6635i | 1.04473i | 0.852721 | + | 0.522366i | \(0.174951\pi\) | ||||
−0.852721 | + | 0.522366i | \(0.825049\pi\) | |||||||
\(198\) | 2.97731 | + | 0.368271i | 0.211588 | + | 0.0261719i | ||||
\(199\) | −1.82774 | − | 1.05525i | −0.129565 | − | 0.0748046i | 0.433816 | − | 0.901001i | \(-0.357167\pi\) |
−0.563382 | + | 0.826197i | \(0.690500\pi\) | |||||||
\(200\) | −4.29960 | − | 2.48237i | −0.304027 | − | 0.175530i | ||||
\(201\) | 3.72450 | + | 2.46759i | 0.262706 | + | 0.174050i | ||||
\(202\) | − | 16.4033i | − | 1.15413i | ||||||
\(203\) | −0.399539 | − | 16.5424i | −0.0280421 | − | 1.16105i | ||||
\(204\) | −4.60950 | + | 2.29564i | −0.322729 | + | 0.160727i | ||||
\(205\) | −0.0176274 | − | 0.0305316i | −0.00123115 | − | 0.00213242i | ||||
\(206\) | −2.53662 | + | 4.39355i | −0.176735 | + | 0.306113i | ||||
\(207\) | 6.54949 | − | 2.77318i | 0.455221 | − | 0.192750i | ||||
\(208\) | −4.07475 | + | 2.35256i | −0.282533 | + | 0.163121i | ||||
\(209\) | −1.85982 | −0.128646 | ||||||||
\(210\) | 0.457770 | − | 0.728560i | 0.0315891 | − | 0.0502754i | ||||
\(211\) | −5.07097 | −0.349100 | −0.174550 | − | 0.984648i | \(-0.555847\pi\) | ||||
−0.174550 | + | 0.984648i | \(0.555847\pi\) | |||||||
\(212\) | −9.50430 | + | 5.48731i | −0.652758 | + | 0.376870i | ||||
\(213\) | 23.3735 | + | 1.44008i | 1.60153 | + | 0.0986726i | ||||
\(214\) | −0.0119948 | + | 0.0207756i | −0.000819949 | + | 0.00142019i | ||||
\(215\) | −0.738793 | − | 1.27963i | −0.0503853 | − | 0.0872698i | ||||
\(216\) | 5.10787 | + | 0.953778i | 0.347546 | + | 0.0648963i | ||||
\(217\) | −23.5545 | − | 12.8511i | −1.59899 | − | 0.872391i | ||||
\(218\) | − | 1.24289i | − | 0.0841795i | ||||||
\(219\) | −15.3443 | + | 23.1603i | −1.03687 | + | 1.56503i | ||||
\(220\) | 0.162607 | + | 0.0938814i | 0.0109630 | + | 0.00632948i | ||||
\(221\) | −12.1145 | − | 6.99432i | −0.814911 | − | 0.470489i | ||||
\(222\) | −5.22641 | + | 7.88858i | −0.350774 | + | 0.529447i | ||||
\(223\) | 12.6276i | 0.845610i | 0.906221 | + | 0.422805i | \(0.138954\pi\) | ||||
−0.906221 | + | 0.422805i | \(0.861046\pi\) | |||||||
\(224\) | 2.32256 | + | 1.26717i | 0.155183 | + | 0.0846661i | ||||
\(225\) | −8.97421 | + | 11.8870i | −0.598281 | + | 0.792470i | ||||
\(226\) | 6.34192 | + | 10.9845i | 0.421858 | + | 0.730680i | ||||
\(227\) | −0.180173 | + | 0.312069i | −0.0119585 | + | 0.0207128i | −0.871943 | − | 0.489608i | \(-0.837140\pi\) |
0.859984 | + | 0.510321i | \(0.170473\pi\) | |||||||
\(228\) | −3.21520 | − | 0.198093i | −0.212932 | − | 0.0131191i | ||||
\(229\) | 9.52022 | − | 5.49650i | 0.629114 | − | 0.363219i | −0.151295 | − | 0.988489i | \(-0.548344\pi\) |
0.780409 | + | 0.625270i | \(0.215011\pi\) | |||||||
\(230\) | 0.445149 | 0.0293522 | ||||||||
\(231\) | 2.43802 | − | 3.88021i | 0.160410 | − | 0.255299i | ||||
\(232\) | 6.25425 | 0.410612 | ||||||||
\(233\) | 22.0707 | − | 12.7425i | 1.44590 | − | 0.834791i | 0.447666 | − | 0.894201i | \(-0.352255\pi\) |
0.998234 | + | 0.0594100i | \(0.0189219\pi\) | |||||||
\(234\) | 5.50369 | + | 12.9982i | 0.359787 | + | 0.849718i | ||||
\(235\) | 0.524402 | − | 0.908291i | 0.0342082 | − | 0.0592504i | ||||
\(236\) | −2.32869 | − | 4.03341i | −0.151585 | − | 0.262553i | ||||
\(237\) | −12.3816 | + | 6.16632i | −0.804271 | + | 0.400546i | ||||
\(238\) | 0.189928 | + | 7.86371i | 0.0123112 | + | 0.509728i | ||||
\(239\) | 7.73209i | 0.500148i | 0.968227 | + | 0.250074i | \(0.0804549\pi\) | ||||
−0.968227 | + | 0.250074i | \(0.919545\pi\) | |||||||
\(240\) | 0.271112 | + | 0.179619i | 0.0175002 | + | 0.0115944i | ||||
\(241\) | −5.73736 | − | 3.31247i | −0.369576 | − | 0.213375i | 0.303697 | − | 0.952769i | \(-0.401779\pi\) |
−0.673273 | + | 0.739394i | \(0.735112\pi\) | |||||||
\(242\) | 0.866025 | + | 0.500000i | 0.0556702 | + | 0.0321412i | ||||
\(243\) | 4.72077 | − | 14.8565i | 0.302838 | − | 0.953042i | ||||
\(244\) | − | 12.5788i | − | 0.805278i | ||||||
\(245\) | −0.711355 | − | 1.10520i | −0.0454468 | − | 0.0706085i | ||||
\(246\) | −0.144980 | − | 0.291111i | −0.00924358 | − | 0.0185605i | ||||
\(247\) | −4.37533 | − | 7.57829i | −0.278396 | − | 0.482195i | ||||
\(248\) | 5.07081 | − | 8.78290i | 0.321997 | − | 0.557715i | ||||
\(249\) | 1.57056 | − | 25.4914i | 0.0995303 | − | 1.61545i | ||||
\(250\) | −1.62034 | + | 0.935505i | −0.102479 | + | 0.0591665i | ||||
\(251\) | −25.8784 | −1.63343 | −0.816714 | − | 0.577042i | \(-0.804207\pi\) | ||||
−0.816714 | + | 0.577042i | \(0.804207\pi\) | |||||||
\(252\) | 4.62808 | − | 6.44832i | 0.291542 | − | 0.406206i | ||||
\(253\) | 2.37080 | 0.149051 | ||||||||
\(254\) | −4.54176 | + | 2.62219i | −0.284975 | + | 0.164531i | ||||
\(255\) | −0.0594586 | + | 0.965056i | −0.00372344 | + | 0.0604342i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −3.64666 | − | 6.31620i | −0.227473 | − | 0.393994i | 0.729586 | − | 0.683889i | \(-0.239713\pi\) |
−0.957058 | + | 0.289895i | \(0.906380\pi\) | |||||||
\(258\) | −6.07633 | − | 12.2009i | −0.378296 | − | 0.759594i | ||||
\(259\) | 7.52750 | + | 12.3400i | 0.467736 | + | 0.766770i | ||||
\(260\) | 0.883447i | 0.0547890i | ||||||||
\(261\) | 2.30326 | − | 18.6208i | 0.142568 | − | 1.15260i | ||||
\(262\) | 1.73580 | + | 1.00216i | 0.107238 | + | 0.0619139i | ||||
\(263\) | 12.9008 | + | 7.44827i | 0.795496 | + | 0.459280i | 0.841894 | − | 0.539643i | \(-0.181441\pi\) |
−0.0463977 | + | 0.998923i | \(0.514774\pi\) | |||||||
\(264\) | 1.44390 | + | 0.956629i | 0.0888662 | + | 0.0588764i | ||||
\(265\) | 2.06063i | 0.126583i | ||||||||
\(266\) | −2.35670 | + | 4.31954i | −0.144498 | + | 0.264848i | ||||
\(267\) | 13.3105 | − | 6.62892i | 0.814586 | − | 0.405683i | ||||
\(268\) | 1.28973 | + | 2.23388i | 0.0787829 | + | 0.136456i | ||||
\(269\) | −7.12064 | + | 12.3333i | −0.434153 | + | 0.751975i | −0.997226 | − | 0.0744323i | \(-0.976286\pi\) |
0.563073 | + | 0.826407i | \(0.309619\pi\) | |||||||
\(270\) | 0.634625 | − | 0.741035i | 0.0386221 | − | 0.0450980i | ||||
\(271\) | −12.3382 | + | 7.12345i | −0.749491 | + | 0.432719i | −0.825510 | − | 0.564387i | \(-0.809112\pi\) |
0.0760187 | + | 0.997106i | \(0.475779\pi\) | |||||||
\(272\) | −2.97307 | −0.180269 | ||||||||
\(273\) | 21.5465 | + | 0.805912i | 1.30405 | + | 0.0487760i | ||||
\(274\) | −9.02169 | −0.545020 | ||||||||
\(275\) | −4.29960 | + | 2.48237i | −0.259275 | + | 0.149693i | ||||
\(276\) | 4.09858 | + | 0.252520i | 0.246705 | + | 0.0151999i | ||||
\(277\) | −5.59049 | + | 9.68302i | −0.335900 | + | 0.581796i | −0.983657 | − | 0.180051i | \(-0.942374\pi\) |
0.647757 | + | 0.761847i | \(0.275707\pi\) | |||||||
\(278\) | −2.09532 | − | 3.62920i | −0.125669 | − | 0.217665i | ||||
\(279\) | −24.2820 | − | 18.3319i | −1.45373 | − | 1.09750i | ||||
\(280\) | 0.424096 | − | 0.258702i | 0.0253446 | − | 0.0154604i | ||||
\(281\) | − | 17.4964i | − | 1.04375i | −0.853023 | − | 0.521874i | \(-0.825233\pi\) | ||
0.853023 | − | 0.521874i | \(-0.174767\pi\) | |||||||
\(282\) | 5.34353 | − | 8.06535i | 0.318203 | − | 0.480285i | ||||
\(283\) | −5.56926 | − | 3.21541i | −0.331058 | − | 0.191137i | 0.325253 | − | 0.945627i | \(-0.394551\pi\) |
−0.656311 | + | 0.754491i | \(0.727884\pi\) | |||||||
\(284\) | 11.7089 | + | 6.76015i | 0.694797 | + | 0.401141i | ||||
\(285\) | −0.334059 | + | 0.504218i | −0.0197879 | + | 0.0298673i | ||||
\(286\) | 4.70512i | 0.278220i | ||||||||
\(287\) | −0.496629 | + | 0.0119948i | −0.0293151 | + | 0.000708032i | ||||
\(288\) | 2.39429 | + | 1.80759i | 0.141085 | + | 0.106513i | ||||
\(289\) | 4.08043 | + | 7.06751i | 0.240025 | + | 0.415736i | ||||
\(290\) | 0.587158 | − | 1.01699i | 0.0344791 | − | 0.0597196i | ||||
\(291\) | 1.73831 | + | 0.107100i | 0.101902 | + | 0.00627831i | ||||
\(292\) | −13.8911 | + | 8.02001i | −0.812913 | + | 0.469336i | ||||
\(293\) | 8.00890 | 0.467885 | 0.233942 | − | 0.972250i | \(-0.424837\pi\) | ||||
0.233942 | + | 0.972250i | \(0.424837\pi\) | |||||||
\(294\) | −5.92265 | − | 10.5793i | −0.345416 | − | 0.616999i | ||||
\(295\) | −0.874483 | −0.0509144 | ||||||||
\(296\) | −4.73141 | + | 2.73168i | −0.275008 | + | 0.158776i | ||||
\(297\) | 3.37993 | − | 3.94665i | 0.196123 | − | 0.229008i | ||||
\(298\) | −7.49184 | + | 12.9762i | −0.433991 | + | 0.751694i | ||||
\(299\) | 5.57746 | + | 9.66044i | 0.322553 | + | 0.558677i | ||||
\(300\) | −7.69743 | + | 3.83350i | −0.444411 | + | 0.221327i | ||||
\(301\) | −20.8145 | + | 0.502721i | −1.19973 | + | 0.0289763i | ||||
\(302\) | − | 0.548354i | − | 0.0315542i | ||||||
\(303\) | −23.6848 | − | 15.6919i | −1.36066 | − | 0.901474i | ||||
\(304\) | −1.61065 | − | 0.929908i | −0.0923770 | − | 0.0533339i | ||||
\(305\) | −2.04541 | − | 1.18092i | −0.117120 | − | 0.0676193i | ||||
\(306\) | −1.09490 | + | 8.85175i | −0.0625910 | + | 0.506021i | ||||
\(307\) | − | 2.11535i | − | 0.120729i | −0.998176 | − | 0.0603646i | \(-0.980774\pi\) | ||
0.998176 | − | 0.0603646i | \(-0.0192263\pi\) | |||||||
\(308\) | 2.25868 | − | 1.37781i | 0.128700 | − | 0.0785082i | ||||
\(309\) | 3.91727 | + | 7.86563i | 0.222846 | + | 0.447460i | ||||
\(310\) | −0.952110 | − | 1.64910i | −0.0540762 | − | 0.0936628i | ||||
\(311\) | −2.71729 | + | 4.70648i | −0.154083 | + | 0.266880i | −0.932725 | − | 0.360589i | \(-0.882576\pi\) |
0.778642 | + | 0.627469i | \(0.215909\pi\) | |||||||
\(312\) | −0.501153 | + | 8.13408i | −0.0283722 | + | 0.460502i | ||||
\(313\) | 24.6820 | − | 14.2502i | 1.39511 | − | 0.805468i | 0.401236 | − | 0.915975i | \(-0.368581\pi\) |
0.993875 | + | 0.110507i | \(0.0352474\pi\) | |||||||
\(314\) | 19.1763 | 1.08218 | ||||||||
\(315\) | −0.614055 | − | 1.35794i | −0.0345981 | − | 0.0765111i | ||||
\(316\) | −7.98598 | −0.449246 | ||||||||
\(317\) | −23.5911 | + | 13.6203i | −1.32501 | + | 0.764995i | −0.984523 | − | 0.175255i | \(-0.943925\pi\) |
−0.340486 | + | 0.940249i | \(0.610592\pi\) | |||||||
\(318\) | −1.16893 | + | 18.9726i | −0.0655505 | + | 1.06393i | ||||
\(319\) | 3.12712 | − | 5.41634i | 0.175085 | − | 0.303257i | ||||
\(320\) | 0.0938814 | + | 0.162607i | 0.00524813 | + | 0.00909003i | ||||
\(321\) | 0.0185235 | + | 0.0371939i | 0.00103388 | + | 0.00207596i | ||||
\(322\) | 3.00420 | − | 5.50633i | 0.167418 | − | 0.306856i | ||||
\(323\) | − | 5.52936i | − | 0.307662i | ||||||
\(324\) | 6.26350 | − | 6.46286i | 0.347972 | − | 0.359048i | ||||
\(325\) | −20.2301 | − | 11.6799i | −1.12216 | − | 0.647882i | ||||
\(326\) | −0.703707 | − | 0.406286i | −0.0389747 | − | 0.0225021i | ||||
\(327\) | −1.79462 | − | 1.18899i | −0.0992428 | − | 0.0657512i | ||||
\(328\) | − | 0.187763i | − | 0.0103675i | ||||||
\(329\) | −7.69618 | − | 12.6165i | −0.424304 | − | 0.695571i | ||||
\(330\) | 0.291111 | − | 0.144980i | 0.0160251 | − | 0.00798088i | ||||
\(331\) | 16.9054 | + | 29.2809i | 0.929203 | + | 1.60943i | 0.784659 | + | 0.619928i | \(0.212838\pi\) |
0.144544 | + | 0.989498i | \(0.453828\pi\) | |||||||
\(332\) | 7.37268 | − | 12.7698i | 0.404628 | − | 0.700836i | ||||
\(333\) | 6.39062 | + | 15.0929i | 0.350204 | + | 0.827085i | ||||
\(334\) | −12.4684 | + | 7.19863i | −0.682240 | + | 0.393892i | ||||
\(335\) | 0.484328 | 0.0264616 | ||||||||
\(336\) | 4.05150 | − | 2.14135i | 0.221027 | − | 0.116820i | ||||
\(337\) | −1.83289 | −0.0998438 | −0.0499219 | − | 0.998753i | \(-0.515897\pi\) | ||||
−0.0499219 | + | 0.998753i | \(0.515897\pi\) | |||||||
\(338\) | −7.91387 | + | 4.56908i | −0.430458 | + | 0.248525i | ||||
\(339\) | 21.9275 | + | 1.35099i | 1.19094 | + | 0.0733754i | ||||
\(340\) | −0.279116 | + | 0.483443i | −0.0151372 | + | 0.0262184i | ||||
\(341\) | −5.07081 | − | 8.78290i | −0.274600 | − | 0.475621i | ||||
\(342\) | −3.36178 | + | 4.45294i | −0.181784 | + | 0.240787i | ||||
\(343\) | −18.4717 | + | 1.34050i | −0.997377 | + | 0.0723800i | ||||
\(344\) | − | 7.86942i | − | 0.424291i | ||||||
\(345\) | 0.425842 | − | 0.642752i | 0.0229266 | − | 0.0346046i | ||||
\(346\) | −1.62126 | − | 0.936038i | −0.0871597 | − | 0.0503217i | ||||
\(347\) | −21.4218 | − | 12.3679i | −1.14998 | − | 0.663942i | −0.201098 | − | 0.979571i | \(-0.564451\pi\) |
−0.948882 | + | 0.315630i | \(0.897784\pi\) | |||||||
\(348\) | 5.98300 | − | 9.03054i | 0.320722 | − | 0.484088i | ||||
\(349\) | 5.86269i | 0.313823i | 0.987613 | + | 0.156911i | \(0.0501537\pi\) | ||||
−0.987613 | + | 0.156911i | \(0.949846\pi\) | |||||||
\(350\) | 0.317162 | + | 13.1317i | 0.0169530 | + | 0.701916i | ||||
\(351\) | 24.0331 | + | 4.48764i | 1.28279 | + | 0.239532i | ||||
\(352\) | 0.500000 | + | 0.866025i | 0.0266501 | + | 0.0461593i | ||||
\(353\) | 10.7068 | − | 18.5447i | 0.569864 | − | 0.987033i | −0.426715 | − | 0.904386i | \(-0.640329\pi\) |
0.996579 | − | 0.0826469i | \(-0.0263374\pi\) | |||||||
\(354\) | −8.05155 | − | 0.496069i | −0.427935 | − | 0.0263657i | ||||
\(355\) | 2.19850 | − | 1.26931i | 0.116684 | − | 0.0673678i | ||||
\(356\) | 8.58508 | 0.455008 | ||||||||
\(357\) | 11.5361 | + | 7.24841i | 0.610557 | + | 0.383627i | ||||
\(358\) | −4.06903 | −0.215055 | ||||||||
\(359\) | 6.11309 | − | 3.52939i | 0.322636 | − | 0.186274i | −0.329931 | − | 0.944005i | \(-0.607025\pi\) |
0.652567 | + | 0.757731i | \(0.273692\pi\) | |||||||
\(360\) | 0.518707 | − | 0.219631i | 0.0273382 | − | 0.0115755i | ||||
\(361\) | −7.77054 | + | 13.4590i | −0.408976 | + | 0.708367i | ||||
\(362\) | 6.51185 | + | 11.2789i | 0.342255 | + | 0.592804i | ||||
\(363\) | 1.55042 | − | 0.772144i | 0.0813758 | − | 0.0405270i | ||||
\(364\) | 10.9279 | + | 5.96217i | 0.572779 | + | 0.312502i | ||||
\(365\) | 3.01172i | 0.157641i | ||||||||
\(366\) | −18.1627 | − | 12.0333i | −0.949377 | − | 0.628990i | ||||
\(367\) | −11.4611 | − | 6.61709i | −0.598267 | − | 0.345409i | 0.170093 | − | 0.985428i | \(-0.445593\pi\) |
−0.768359 | + | 0.640019i | \(0.778927\pi\) | |||||||
\(368\) | 2.05318 | + | 1.18540i | 0.107029 | + | 0.0617933i | ||||
\(369\) | −0.559028 | − | 0.0691477i | −0.0291018 | − | 0.00359968i | ||||
\(370\) | 1.02582i | 0.0533297i | ||||||||
\(371\) | 25.4892 | + | 13.9067i | 1.32334 | + | 0.721998i | ||||
\(372\) | −7.83079 | − | 15.7237i | −0.406008 | − | 0.815238i | ||||
\(373\) | 16.8385 | + | 29.1651i | 0.871863 | + | 1.51011i | 0.860067 | + | 0.510180i | \(0.170421\pi\) |
0.0117954 | + | 0.999930i | \(0.496245\pi\) | |||||||
\(374\) | −1.48653 | + | 2.57475i | −0.0768669 | + | 0.133137i | ||||
\(375\) | −0.199286 | + | 3.23455i | −0.0102911 | + | 0.167031i | ||||
\(376\) | 4.83744 | − | 2.79290i | 0.249472 | − | 0.144033i | ||||
\(377\) | 29.4270 | 1.51557 | ||||||||
\(378\) | −4.88341 | − | 12.8512i | −0.251176 | − | 0.660992i | ||||
\(379\) | −14.6738 | −0.753741 | −0.376870 | − | 0.926266i | \(-0.623000\pi\) | ||||
−0.376870 | + | 0.926266i | \(0.623000\pi\) | |||||||
\(380\) | −0.302420 | + | 0.174602i | −0.0155138 | + | 0.00895690i | ||||
\(381\) | −0.558590 | + | 9.06633i | −0.0286174 | + | 0.464482i | ||||
\(382\) | 2.67479 | − | 4.63286i | 0.136854 | − | 0.237038i | ||||
\(383\) | −8.55052 | − | 14.8099i | −0.436911 | − | 0.756753i | 0.560538 | − | 0.828129i | \(-0.310594\pi\) |
−0.997449 | + | 0.0713759i | \(0.977261\pi\) | |||||||
\(384\) | 0.772144 | + | 1.55042i | 0.0394033 | + | 0.0791194i | ||||
\(385\) | −0.0119948 | − | 0.496629i | −0.000611312 | − | 0.0253106i | ||||
\(386\) | − | 13.1825i | − | 0.670970i | ||||||
\(387\) | −23.4297 | − | 2.89808i | −1.19100 | − | 0.147318i | ||||
\(388\) | 0.870803 | + | 0.502758i | 0.0442083 | + | 0.0255237i | ||||
\(389\) | 31.2503 | + | 18.0424i | 1.58445 | + | 0.914784i | 0.994198 | + | 0.107567i | \(0.0343061\pi\) |
0.590255 | + | 0.807217i | \(0.299027\pi\) | |||||||
\(390\) | 1.27561 | + | 0.845131i | 0.0645932 | + | 0.0427948i | ||||
\(391\) | 7.04856i | 0.356461i | ||||||||
\(392\) | −0.337937 | − | 6.99184i | −0.0170684 | − | 0.353141i | ||||
\(393\) | 3.10755 | − | 1.54763i | 0.156755 | − | 0.0780676i | ||||
\(394\) | 7.33176 | + | 12.6990i | 0.369369 | + | 0.639765i | ||||
\(395\) | −0.749735 | + | 1.29858i | −0.0377233 | + | 0.0653386i | ||||
\(396\) | 2.76256 | − | 1.16972i | 0.138824 | − | 0.0587808i | ||||
\(397\) | 11.0710 | − | 6.39186i | 0.555639 | − | 0.320798i | −0.195754 | − | 0.980653i | \(-0.562716\pi\) |
0.751393 | + | 0.659855i | \(0.229382\pi\) | |||||||
\(398\) | −2.11050 | −0.105790 | ||||||||
\(399\) | 3.98252 | + | 7.53504i | 0.199375 | + | 0.377224i | ||||
\(400\) | −4.96475 | −0.248237 | ||||||||
\(401\) | 19.4819 | − | 11.2479i | 0.972880 | − | 0.561692i | 0.0727666 | − | 0.997349i | \(-0.476817\pi\) |
0.900113 | + | 0.435657i | \(0.143484\pi\) | |||||||
\(402\) | 4.45931 | + | 0.274745i | 0.222410 | + | 0.0137030i | ||||
\(403\) | 23.8588 | − | 41.3246i | 1.18849 | − | 2.05853i | ||||
\(404\) | −8.20165 | − | 14.2057i | −0.408047 | − | 0.706758i | ||||
\(405\) | −0.462883 | − | 1.62523i | −0.0230009 | − | 0.0807585i | ||||
\(406\) | −8.61719 | − | 14.1263i | −0.427664 | − | 0.701078i | ||||
\(407\) | 5.46337i | 0.270809i | ||||||||
\(408\) | −2.84412 | + | 4.29283i | −0.140805 | + | 0.212527i | ||||
\(409\) | −11.0911 | − | 6.40347i | −0.548421 | − | 0.316631i | 0.200064 | − | 0.979783i | \(-0.435885\pi\) |
−0.748485 | + | 0.663152i | \(0.769218\pi\) | |||||||
\(410\) | −0.0305316 | − | 0.0176274i | −0.00150785 | − | 0.000870557i | ||||
\(411\) | −8.63041 | + | 13.0265i | −0.425707 | + | 0.642548i | ||||
\(412\) | 5.07324i | 0.249940i | ||||||||
\(413\) | −5.90167 | + | 10.8171i | −0.290402 | + | 0.532272i | ||||
\(414\) | 4.28543 | − | 5.67639i | 0.210618 | − | 0.278979i | ||||
\(415\) | −1.38431 | − | 2.39770i | −0.0679533 | − | 0.117699i | ||||
\(416\) | −2.35256 | + | 4.07475i | −0.115344 | + | 0.199781i | ||||
\(417\) | −7.24466 | − | 0.446354i | −0.354772 | − | 0.0218581i | ||||
\(418\) | −1.61065 | + | 0.929908i | −0.0787794 | + | 0.0454833i | ||||
\(419\) | 21.3181 | 1.04146 | 0.520728 | − | 0.853723i | \(-0.325661\pi\) | ||||
0.520728 | + | 0.853723i | \(0.325661\pi\) | |||||||
\(420\) | 0.0321608 | − | 0.859836i | 0.00156929 | − | 0.0419557i | ||||
\(421\) | 30.4927 | 1.48612 | 0.743062 | − | 0.669222i | \(-0.233373\pi\) | ||||
0.743062 | + | 0.669222i | \(0.233373\pi\) | |||||||
\(422\) | −4.39158 | + | 2.53548i | −0.213779 | + | 0.123425i | ||||
\(423\) | −6.53383 | − | 15.4311i | −0.317686 | − | 0.750286i | ||||
\(424\) | −5.48731 | + | 9.50430i | −0.266487 | + | 0.461570i | ||||
\(425\) | −7.38026 | − | 12.7830i | −0.357995 | − | 0.620066i | ||||
\(426\) | 20.9621 | − | 10.4396i | 1.01562 | − | 0.505802i | ||||
\(427\) | −28.4116 | + | 17.3313i | −1.37493 | + | 0.838721i | ||||
\(428\) | 0.0239896i | 0.00115958i | ||||||||
\(429\) | 6.79375 | + | 4.50105i | 0.328005 | + | 0.217313i | ||||
\(430\) | −1.27963 | − | 0.738793i | −0.0617091 | − | 0.0356278i | ||||
\(431\) | 24.2725 | + | 14.0137i | 1.16916 | + | 0.675017i | 0.953483 | − | 0.301447i | \(-0.0974697\pi\) |
0.215680 | + | 0.976464i | \(0.430803\pi\) | |||||||
\(432\) | 4.90043 | − | 1.72794i | 0.235772 | − | 0.0831355i | ||||
\(433\) | 0.785465i | 0.0377471i | 0.999822 | + | 0.0188735i | \(0.00600799\pi\) | ||||
−0.999822 | + | 0.0188735i | \(0.993992\pi\) | |||||||
\(434\) | −26.8244 | + | 0.647875i | −1.28761 | + | 0.0310990i | ||||
\(435\) | −0.906741 | − | 1.82068i | −0.0434749 | − | 0.0872949i | ||||
\(436\) | −0.621447 | − | 1.07638i | −0.0297619 | − | 0.0515492i | ||||
\(437\) | −2.20463 | + | 3.81853i | −0.105462 | + | 0.182665i | ||||
\(438\) | −1.70846 | + | 27.7296i | −0.0816334 | + | 1.32497i | ||||
\(439\) | −13.5483 | + | 7.82210i | −0.646624 | + | 0.373328i | −0.787161 | − | 0.616747i | \(-0.788450\pi\) |
0.140538 | + | 0.990075i | \(0.455117\pi\) | |||||||
\(440\) | 0.187763 | 0.00895124 | ||||||||
\(441\) | −20.9413 | − | 1.56875i | −0.997206 | − | 0.0747023i | ||||
\(442\) | −13.9886 | −0.665372 | ||||||||
\(443\) | 22.0499 | − | 12.7305i | 1.04762 | − | 0.604846i | 0.125641 | − | 0.992076i | \(-0.459901\pi\) |
0.921983 | + | 0.387230i | \(0.126568\pi\) | |||||||
\(444\) | −0.581916 | + | 9.44492i | −0.0276165 | + | 0.448236i | ||||
\(445\) | 0.805979 | − | 1.39600i | 0.0382071 | − | 0.0661766i | ||||
\(446\) | 6.31382 | + | 10.9359i | 0.298968 | + | 0.517828i | ||||
\(447\) | 11.5696 | + | 23.2309i | 0.547221 | + | 1.09879i | ||||
\(448\) | 2.64498 | − | 0.0638828i | 0.124964 | − | 0.00301818i | ||||
\(449\) | 36.6323i | 1.72878i | 0.502819 | + | 0.864392i | \(0.332296\pi\) | ||||
−0.502819 | + | 0.864392i | \(0.667704\pi\) | |||||||
\(450\) | −1.82837 | + | 14.7816i | −0.0861903 | + | 0.696811i | ||||
\(451\) | −0.162607 | − | 0.0938814i | −0.00765688 | − | 0.00442070i | ||||
\(452\) | 10.9845 | + | 6.34192i | 0.516669 | + | 0.298299i | ||||
\(453\) | −0.791771 | − | 0.524571i | −0.0372007 | − | 0.0246465i | ||||
\(454\) | 0.360346i | 0.0169119i | ||||||||
\(455\) | 1.99542 | − | 1.21723i | 0.0935468 | − | 0.0570644i | ||||
\(456\) | −2.88349 | + | 1.43605i | −0.135032 | + | 0.0672490i | ||||
\(457\) | −7.87556 | − | 13.6409i | −0.368403 | − | 0.638093i | 0.620913 | − | 0.783879i | \(-0.286762\pi\) |
−0.989316 | + | 0.145787i | \(0.953429\pi\) | |||||||
\(458\) | 5.49650 | − | 9.52022i | 0.256835 | − | 0.444851i | ||||
\(459\) | 11.7337 | + | 10.0488i | 0.547681 | + | 0.469036i | ||||
\(460\) | 0.385510 | − | 0.222574i | 0.0179745 | − | 0.0103776i | ||||
\(461\) | 26.7742 | 1.24700 | 0.623500 | − | 0.781823i | \(-0.285710\pi\) | ||||
0.623500 | + | 0.781823i | \(0.285710\pi\) | |||||||
\(462\) | 0.171284 | − | 4.57937i | 0.00796886 | − | 0.213052i | ||||
\(463\) | 24.2990 | 1.12927 | 0.564635 | − | 0.825340i | \(-0.309017\pi\) | ||||
0.564635 | + | 0.825340i | \(0.309017\pi\) | |||||||
\(464\) | 5.41634 | − | 3.12712i | 0.251447 | − | 0.145173i | ||||
\(465\) | −3.29196 | − | 0.202823i | −0.152661 | − | 0.00940569i | ||||
\(466\) | 12.7425 | − | 22.0707i | 0.590286 | − | 1.02241i | ||||
\(467\) | 14.1426 | + | 24.4957i | 0.654441 | + | 1.13352i | 0.982034 | + | 0.188705i | \(0.0604292\pi\) |
−0.327593 | + | 0.944819i | \(0.606238\pi\) | |||||||
\(468\) | 11.2654 | + | 8.50491i | 0.520744 | + | 0.393140i | ||||
\(469\) | 3.26861 | − | 5.99096i | 0.150930 | − | 0.276637i | ||||
\(470\) | − | 1.04880i | − | 0.0483777i | ||||||
\(471\) | 18.3446 | − | 27.6888i | 0.845276 | − | 1.27583i | ||||
\(472\) | −4.03341 | − | 2.32869i | −0.185653 | − | 0.107187i | ||||
\(473\) | −6.81512 | − | 3.93471i | −0.313360 | − | 0.180918i | ||||
\(474\) | −7.63962 | + | 11.5310i | −0.350899 | + | 0.529636i | ||||
\(475\) | − | 9.23351i | − | 0.423663i | ||||||
\(476\) | 4.09634 | + | 6.71521i | 0.187755 | + | 0.307791i | ||||
\(477\) | 26.2764 | + | 19.8376i | 1.20312 | + | 0.908301i | ||||
\(478\) | 3.86605 | + | 6.69619i | 0.176829 | + | 0.306277i | ||||
\(479\) | −17.9713 | + | 31.1272i | −0.821130 | + | 1.42224i | 0.0837110 | + | 0.996490i | \(0.473323\pi\) |
−0.904841 | + | 0.425749i | \(0.860011\pi\) | |||||||
\(480\) | 0.324599 | + | 0.0199991i | 0.0148159 | + | 0.000912828i | ||||
\(481\) | −22.2619 | + | 12.8529i | −1.01505 | + | 0.586042i | ||||
\(482\) | −6.62493 | −0.301757 | ||||||||
\(483\) | −5.07672 | − | 9.60530i | −0.230999 | − | 0.437056i | ||||
\(484\) | 1.00000 | 0.0454545 | ||||||||
\(485\) | 0.163504 | − | 0.0943993i | 0.00742435 | − | 0.00428645i | ||||
\(486\) | −3.33992 | − | 15.2265i | −0.151502 | − | 0.690686i | ||||
\(487\) | −0.157485 | + | 0.272773i | −0.00713635 | + | 0.0123605i | −0.869572 | − | 0.493807i | \(-0.835605\pi\) |
0.862435 | + | 0.506168i | \(0.168938\pi\) | |||||||
\(488\) | −6.28942 | − | 10.8936i | −0.284709 | − | 0.493130i | ||||
\(489\) | −1.25982 | + | 0.627422i | −0.0569712 | + | 0.0283730i | ||||
\(490\) | −1.16865 | − | 0.601453i | −0.0527943 | − | 0.0271709i | ||||
\(491\) | − | 23.2238i | − | 1.04808i | −0.851695 | − | 0.524038i | \(-0.824425\pi\) | ||
0.851695 | − | 0.524038i | \(-0.175575\pi\) | |||||||
\(492\) | −0.271112 | − | 0.179619i | −0.0122227 | − | 0.00809787i | ||||
\(493\) | 16.1031 | + | 9.29716i | 0.725249 | + | 0.418723i | ||||
\(494\) | −7.57829 | − | 4.37533i | −0.340964 | − | 0.196855i | ||||
\(495\) | 0.0691477 | − | 0.559028i | 0.00310796 | − | 0.0251265i | ||||
\(496\) | − | 10.1416i | − | 0.455372i | ||||||
\(497\) | −0.863715 | − | 35.7609i | −0.0387429 | − | 1.60410i | ||||
\(498\) | −11.3855 | − | 22.8614i | −0.510198 | − | 1.02445i | ||||
\(499\) | 11.1621 | + | 19.3334i | 0.499686 | + | 0.865482i | 1.00000 | 0.000362452i | \(-0.000115372\pi\) | |
−0.500314 | + | 0.865844i | \(0.666782\pi\) | |||||||
\(500\) | −0.935505 | + | 1.62034i | −0.0418370 | + | 0.0724639i | ||||
\(501\) | −1.53349 | + | 24.8896i | −0.0685111 | + | 1.11199i | ||||
\(502\) | −22.4113 | + | 12.9392i | −1.00027 | + | 0.577504i | ||||
\(503\) | −10.0786 | −0.449384 | −0.224692 | − | 0.974430i | \(-0.572138\pi\) | ||||
−0.224692 | + | 0.974430i | \(0.572138\pi\) | |||||||
\(504\) | 0.783871 | − | 7.89845i | 0.0349164 | − | 0.351825i | ||||
\(505\) | −3.07993 | −0.137055 | ||||||||
\(506\) | 2.05318 | − | 1.18540i | 0.0912748 | − | 0.0526975i | ||||
\(507\) | −0.973326 | + | 15.7978i | −0.0432269 | + | 0.701604i | ||||
\(508\) | −2.62219 | + | 4.54176i | −0.116341 | + | 0.201508i | ||||
\(509\) | −4.15651 | − | 7.19930i | −0.184234 | − | 0.319103i | 0.759084 | − | 0.650993i | \(-0.225647\pi\) |
−0.943318 | + | 0.331890i | \(0.892314\pi\) | |||||||
\(510\) | 0.431035 | + | 0.865492i | 0.0190866 | + | 0.0383246i | ||||
\(511\) | 37.2539 | + | 20.3254i | 1.64802 | + | 0.899141i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 3.21365 | + | 9.11390i | 0.141886 | + | 0.402389i | ||||
\(514\) | −6.31620 | − | 3.64666i | −0.278596 | − | 0.160847i | ||||
\(515\) | 0.824946 | + | 0.476283i | 0.0363515 | + | 0.0209875i | ||||
\(516\) | −11.3627 | − | 7.52812i | −0.500215 | − | 0.331407i | ||||
\(517\) | − | 5.58579i | − | 0.245663i | ||||||
\(518\) | 12.6890 | + | 6.92299i | 0.557523 | + | 0.304179i | ||||
\(519\) | −2.90250 | + | 1.44551i | −0.127405 | + | 0.0634509i | ||||
\(520\) | 0.441723 | + | 0.765087i | 0.0193709 | + | 0.0335513i | ||||
\(521\) | 2.19722 | − | 3.80570i | 0.0962620 | − | 0.166731i | −0.813873 | − | 0.581043i | \(-0.802645\pi\) |
0.910135 | + | 0.414313i | \(0.135978\pi\) | |||||||
\(522\) | −7.31574 | − | 17.2778i | −0.320201 | − | 0.756227i | ||||
\(523\) | 21.5218 | − | 12.4256i | 0.941084 | − | 0.543335i | 0.0507839 | − | 0.998710i | \(-0.483828\pi\) |
0.890300 | + | 0.455375i | \(0.150495\pi\) | |||||||
\(524\) | 2.00433 | 0.0875595 | ||||||||
\(525\) | 19.2643 | + | 12.1042i | 0.840761 | + | 0.528269i | ||||
\(526\) | 14.8965 | 0.649520 | ||||||||
\(527\) | 26.1122 | − | 15.0759i | 1.13746 | − | 0.656715i | ||||
\(528\) | 1.72877 | + | 0.106512i | 0.0752352 | + | 0.00463535i | ||||
\(529\) | −8.68965 | + | 15.0509i | −0.377811 | + | 0.654387i | ||||
\(530\) | 1.03031 | + | 1.78455i | 0.0447539 | + | 0.0775161i | ||||
\(531\) | −8.41862 | + | 11.1511i | −0.365337 | + | 0.483918i | ||||
\(532\) | 0.118810 | + | 4.91918i | 0.00515108 | + | 0.213273i | ||||
\(533\) | − | 0.883447i | − | 0.0382663i | ||||||
\(534\) | 8.21273 | − | 12.3960i | 0.355400 | − | 0.536429i | ||||
\(535\) | 0.00390089 | + | 0.00225218i | 0.000168650 | + | 9.73703e-5i | ||||
\(536\) | 2.23388 | + | 1.28973i | 0.0964890 | + | 0.0557079i | ||||
\(537\) | −3.89255 | + | 5.87530i | −0.167976 | + | 0.253538i | ||||
\(538\) | 14.2413i | 0.613985i | ||||||||
\(539\) | −6.22408 | − | 3.20326i | −0.268090 | − | 0.137974i | ||||
\(540\) | 0.179084 | − | 0.959068i | 0.00770655 | − | 0.0412717i | ||||
\(541\) | 20.4396 | + | 35.4025i | 0.878769 | + | 1.52207i | 0.852693 | + | 0.522413i | \(0.174968\pi\) |
0.0260765 | + | 0.999660i | \(0.491699\pi\) | |||||||
\(542\) | −7.12345 | + | 12.3382i | −0.305979 | + | 0.529970i | ||||
\(543\) | 22.5150 | + | 1.38719i | 0.966212 | + | 0.0595298i | ||||
\(544\) | −2.57475 | + | 1.48653i | −0.110392 | + | 0.0637346i | ||||
\(545\) | −0.233370 | −0.00999645 | ||||||||
\(546\) | 19.0628 | − | 10.0753i | 0.815811 | − | 0.431183i | ||||
\(547\) | 22.5428 | 0.963861 | 0.481931 | − | 0.876209i | \(-0.339936\pi\) | ||||
0.481931 | + | 0.876209i | \(0.339936\pi\) | |||||||
\(548\) | −7.81301 | + | 4.51084i | −0.333755 | + | 0.192694i | ||||
\(549\) | −34.7498 | + | 14.7138i | −1.48309 | + | 0.627968i | ||||
\(550\) | −2.48237 | + | 4.29960i | −0.105849 | + | 0.183335i | ||||
\(551\) | 5.81588 | + | 10.0734i | 0.247765 | + | 0.429141i | ||||
\(552\) | 3.67573 | − | 1.83060i | 0.156450 | − | 0.0779156i | ||||
\(553\) | 11.0032 | + | 18.0378i | 0.467903 | + | 0.767043i | ||||
\(554\) | 11.1810i | 0.475034i | ||||||||
\(555\) | 1.48118 | + | 0.981326i | 0.0628727 | + | 0.0416550i | ||||
\(556\) | −3.62920 | − | 2.09532i | −0.153912 | − | 0.0888613i | ||||
\(557\) | −38.3279 | − | 22.1286i | −1.62400 | − | 0.937619i | −0.985834 | − | 0.167724i | \(-0.946358\pi\) |
−0.638170 | − | 0.769895i | \(-0.720308\pi\) | |||||||
\(558\) | −30.1948 | − | 3.73487i | −1.27825 | − | 0.158110i | ||||
\(559\) | − | 37.0266i | − | 1.56606i | ||||||
\(560\) | 0.237927 | − | 0.436091i | 0.0100542 | − | 0.0184282i | ||||
\(561\) | 2.29564 | + | 4.60950i | 0.0969219 | + | 0.194613i | ||||
\(562\) | −8.74820 | − | 15.1523i | −0.369021 | − | 0.639163i | ||||
\(563\) | −12.8836 | + | 22.3151i | −0.542979 | + | 0.940468i | 0.455752 | + | 0.890107i | \(0.349371\pi\) |
−0.998731 | + | 0.0503610i | \(0.983963\pi\) | |||||||
\(564\) | 0.594956 | − | 9.65656i | 0.0250522 | − | 0.406615i | ||||
\(565\) | 2.06249 | − | 1.19078i | 0.0867694 | − | 0.0500964i | ||||
\(566\) | −6.43083 | −0.270308 | ||||||||
\(567\) | −23.2275 | − | 5.24260i | −0.975462 | − | 0.220169i | ||||
\(568\) | 13.5203 | 0.567300 | ||||||||
\(569\) | −28.2052 | + | 16.2843i | −1.18242 | + | 0.682673i | −0.956574 | − | 0.291490i | \(-0.905849\pi\) |
−0.225850 | + | 0.974162i | \(0.572516\pi\) | |||||||
\(570\) | −0.0371946 | + | 0.603695i | −0.00155791 | + | 0.0252860i | ||||
\(571\) | 17.8782 | − | 30.9660i | 0.748181 | − | 1.29589i | −0.200513 | − | 0.979691i | \(-0.564261\pi\) |
0.948694 | − | 0.316197i | \(-0.102406\pi\) | |||||||
\(572\) | 2.35256 | + | 4.07475i | 0.0983655 | + | 0.170374i | ||||
\(573\) | −4.13064 | − | 8.29407i | −0.172560 | − | 0.346490i | ||||
\(574\) | −0.424096 | + | 0.258702i | −0.0177014 | + | 0.0107980i | ||||
\(575\) | 11.7704i | 0.490861i | ||||||||
\(576\) | 2.97731 | + | 0.368271i | 0.124055 | + | 0.0153446i | ||||
\(577\) | −36.6472 | − | 21.1583i | −1.52564 | − | 0.880830i | −0.999538 | − | 0.0304098i | \(-0.990319\pi\) |
−0.526104 | − | 0.850420i | \(-0.676348\pi\) | |||||||
\(578\) | 7.06751 | + | 4.08043i | 0.293970 | + | 0.169724i | ||||
\(579\) | −19.0342 | − | 12.6107i | −0.791035 | − | 0.524084i | ||||
\(580\) | − | 1.17432i | − | 0.0487608i | ||||||
\(581\) | −39.0012 | + | 0.941974i | −1.61804 | + | 0.0390797i | ||||
\(582\) | 1.55897 | − | 0.776404i | 0.0646214 | − | 0.0321830i | ||||
\(583\) | 5.48731 | + | 9.50430i | 0.227261 | + | 0.393628i | ||||
\(584\) | −8.02001 | + | 13.8911i | −0.331870 | + | 0.574816i | ||||
\(585\) | 2.44058 | − | 1.03339i | 0.100905 | − | 0.0427253i | ||||
\(586\) | 6.93591 | − | 4.00445i | 0.286520 | − | 0.165422i | ||||
\(587\) | 35.2011 | 1.45291 | 0.726453 | − | 0.687217i | \(-0.241168\pi\) | ||||
0.726453 | + | 0.687217i | \(0.241168\pi\) | |||||||
\(588\) | −10.4188 | − | 6.20064i | −0.429665 | − | 0.255710i | ||||
\(589\) | 18.8616 | 0.777177 | ||||||||
\(590\) | −0.757325 | + | 0.437242i | −0.0311786 | + | 0.0180010i | ||||
\(591\) | 25.3499 | + | 1.56185i | 1.04276 | + | 0.0642457i | ||||
\(592\) | −2.73168 | + | 4.73141i | −0.112271 | + | 0.194460i | ||||
\(593\) | −13.4629 | − | 23.3184i | −0.552853 | − | 0.957570i | −0.998067 | − | 0.0621457i | \(-0.980206\pi\) |
0.445214 | − | 0.895424i | \(-0.353128\pi\) | |||||||
\(594\) | 0.953778 | − | 5.10787i | 0.0391340 | − | 0.209578i | ||||
\(595\) | 1.47651 | − | 0.0356614i | 0.0605311 | − | 0.00146198i | ||||
\(596\) | 14.9837i | 0.613755i | ||||||||
\(597\) | −2.01896 | + | 3.04736i | −0.0826306 | + | 0.124720i | ||||
\(598\) | 9.66044 | + | 5.57746i | 0.395045 | + | 0.228079i | ||||
\(599\) | −15.8188 | − | 9.13299i | −0.646338 | − | 0.373164i | 0.140714 | − | 0.990050i | \(-0.455060\pi\) |
−0.787052 | + | 0.616887i | \(0.788394\pi\) | |||||||
\(600\) | −4.74942 | + | 7.16862i | −0.193894 | + | 0.292658i | ||||
\(601\) | 12.1244i | 0.494566i | 0.968943 | + | 0.247283i | \(0.0795377\pi\) | ||||
−0.968943 | + | 0.247283i | \(0.920462\pi\) | |||||||
\(602\) | −17.7745 | + | 10.8426i | −0.724435 | + | 0.441912i | ||||
\(603\) | 4.66261 | − | 6.17599i | 0.189876 | − | 0.251506i | ||||
\(604\) | −0.274177 | − | 0.474889i | −0.0111561 | − | 0.0193229i | ||||
\(605\) | 0.0938814 | − | 0.162607i | 0.00381682 | − | 0.00661093i | ||||
\(606\) | −28.3576 | − | 1.74715i | −1.15195 | − | 0.0709732i | ||||
\(607\) | 36.4928 | − | 21.0691i | 1.48120 | − | 0.855169i | 0.481423 | − | 0.876488i | \(-0.340120\pi\) |
0.999773 | + | 0.0213195i | \(0.00678671\pi\) | |||||||
\(608\) | −1.85982 | −0.0754255 | ||||||||
\(609\) | −28.6405 | − | 1.07125i | −1.16057 | − | 0.0434094i | ||||
\(610\) | −2.36184 | −0.0956281 | ||||||||
\(611\) | 22.7607 | − | 13.1409i | 0.920800 | − | 0.531624i | ||||
\(612\) | 3.47767 | + | 8.21329i | 0.140576 | + | 0.332002i | ||||
\(613\) | −4.31207 | + | 7.46872i | −0.174163 | + | 0.301659i | −0.939871 | − | 0.341529i | \(-0.889055\pi\) |
0.765708 | + | 0.643188i | \(0.222389\pi\) | |||||||
\(614\) | −1.05767 | − | 1.83194i | −0.0426842 | − | 0.0739313i | ||||
\(615\) | −0.0546598 | + | 0.0272219i | −0.00220410 | + | 0.00109769i | ||||
\(616\) | 1.26717 | − | 2.32256i | 0.0510556 | − | 0.0935787i | ||||
\(617\) | − | 15.6062i | − | 0.628282i | −0.949376 | − | 0.314141i | \(-0.898283\pi\) | ||
0.949376 | − | 0.314141i | \(-0.101717\pi\) | |||||||
\(618\) | 7.32527 | + | 4.85320i | 0.294666 | + | 0.195225i | ||||
\(619\) | −25.6111 | − | 14.7866i | −1.02940 | − | 0.594322i | −0.112585 | − | 0.993642i | \(-0.535913\pi\) |
−0.916812 | + | 0.399320i | \(0.869246\pi\) | |||||||
\(620\) | −1.64910 | − | 0.952110i | −0.0662296 | − | 0.0382377i | ||||
\(621\) | −4.09660 | − | 11.6180i | −0.164391 | − | 0.466213i | ||||
\(622\) | 5.43457i | 0.217907i | ||||||||
\(623\) | −11.8286 | − | 19.3909i | −0.473904 | − | 0.776881i | ||||
\(624\) | 3.63303 | + | 7.29490i | 0.145438 | + | 0.292030i | ||||
\(625\) | −12.2362 | − | 21.1937i | −0.489448 | − | 0.847749i | ||||
\(626\) | 14.2502 | − | 24.6820i | 0.569552 | − | 0.986493i | ||||
\(627\) | −0.198093 | + | 3.21520i | −0.00791109 | + | 0.128403i | ||||
\(628\) | 16.6072 | − | 9.58817i | 0.662699 | − | 0.382610i | ||||
\(629\) | −16.2430 | −0.647649 | ||||||||
\(630\) | −1.21076 | − | 0.868981i | −0.0482377 | − | 0.0346210i | ||||
\(631\) | −30.6142 | −1.21873 | −0.609367 | − | 0.792888i | \(-0.708576\pi\) | ||||
−0.609367 | + | 0.792888i | \(0.708576\pi\) | |||||||
\(632\) | −6.91606 | + | 3.99299i | −0.275106 | + | 0.158833i | ||||
\(633\) | −0.540120 | + | 8.76655i | −0.0214679 | + | 0.348439i | ||||
\(634\) | −13.6203 | + | 23.5911i | −0.540933 | + | 0.936923i | ||||
\(635\) | 0.492349 | + | 0.852774i | 0.0195383 | + | 0.0338413i | ||||
\(636\) | 8.47399 | + | 17.0152i | 0.336016 | + | 0.674698i | ||||
\(637\) | −1.59004 | − | 32.8974i | −0.0629995 | − | 1.30344i | ||||
\(638\) | − | 6.25425i | − | 0.247608i | ||||||
\(639\) | 4.97914 | − | 40.2542i | 0.196972 | − | 1.59243i | ||||
\(640\) | 0.162607 | + | 0.0938814i | 0.00642762 | + | 0.00371099i | ||||
\(641\) | −23.4593 | − | 13.5443i | −0.926588 | − | 0.534966i | −0.0408571 | − | 0.999165i | \(-0.513009\pi\) |
−0.885731 | + | 0.464199i | \(0.846342\pi\) | |||||||
\(642\) | 0.0346387 | + | 0.0229492i | 0.00136708 | + | 0.000905732i | ||||
\(643\) | − | 14.1386i | − | 0.557571i | −0.960353 | − | 0.278786i | \(-0.910068\pi\) | ||
0.960353 | − | 0.278786i | \(-0.0899319\pi\) | |||||||
\(644\) | −0.151454 | − | 6.27073i | −0.00596810 | − | 0.247101i | ||||
\(645\) | −2.29087 | + | 1.14091i | −0.0902031 | + | 0.0449232i | ||||
\(646\) | −2.76468 | − | 4.78857i | −0.108775 | − | 0.188404i | ||||
\(647\) | −0.106419 | + | 0.184324i | −0.00418378 | + | 0.00724652i | −0.868110 | − | 0.496372i | \(-0.834665\pi\) |
0.863926 | + | 0.503619i | \(0.167998\pi\) | |||||||
\(648\) | 2.19292 | − | 8.72875i | 0.0861459 | − | 0.342898i | ||||
\(649\) | −4.03341 | + | 2.32869i | −0.158325 | + | 0.0914091i | ||||
\(650\) | −23.3597 | −0.916244 | ||||||||
\(651\) | −24.7255 | + | 39.3516i | −0.969069 | + | 1.54231i | ||||
\(652\) | −0.812571 | −0.0318227 | ||||||||
\(653\) | −19.4953 | + | 11.2556i | −0.762911 | + | 0.440467i | −0.830340 | − | 0.557257i | \(-0.811854\pi\) |
0.0674291 | + | 0.997724i | \(0.478520\pi\) | |||||||
\(654\) | −2.14868 | − | 0.132384i | −0.0840202 | − | 0.00517661i | ||||
\(655\) | 0.188169 | − | 0.325919i | 0.00735238 | − | 0.0127347i | ||||
\(656\) | −0.0938814 | − | 0.162607i | −0.00366545 | − | 0.00634875i | ||||
\(657\) | 38.4045 | + | 28.9937i | 1.49830 | + | 1.13115i | ||||
\(658\) | −12.9733 | − | 7.07812i | −0.505754 | − | 0.275934i | ||||
\(659\) | − | 23.6271i | − | 0.920380i | −0.887820 | − | 0.460190i | \(-0.847781\pi\) | ||
0.887820 | − | 0.460190i | \(-0.152219\pi\) | |||||||
\(660\) | 0.179619 | − | 0.271112i | 0.00699167 | − | 0.0105530i | ||||
\(661\) | −20.7034 | − | 11.9531i | −0.805270 | − | 0.464923i | 0.0400405 | − | 0.999198i | \(-0.487251\pi\) |
−0.845311 | + | 0.534275i | \(0.820585\pi\) | |||||||
\(662\) | 29.2809 | + | 16.9054i | 1.13804 | + | 0.657046i | ||||
\(663\) | −13.3819 | + | 20.1983i | −0.519711 | + | 0.784436i | ||||
\(664\) | − | 14.7454i | − | 0.572231i | ||||||
\(665\) | 0.811049 | + | 0.442500i | 0.0314511 | + | 0.0171594i | ||||
\(666\) | 13.0809 | + | 9.87551i | 0.506874 | + | 0.382668i | ||||
\(667\) | −7.41380 | − | 12.8411i | −0.287063 | − | 0.497208i | ||||
\(668\) | −7.19863 | + | 12.4684i | −0.278523 | + | 0.482417i | ||||
\(669\) | 21.8303 | + | 1.34500i | 0.844009 | + | 0.0520007i | ||||
\(670\) | 0.419440 | − | 0.242164i | 0.0162044 | − | 0.00935560i | ||||
\(671\) | −12.5788 | −0.485601 | ||||||||
\(672\) | 2.43802 | − | 3.88021i | 0.0940488 | − | 0.149682i | ||||
\(673\) | 4.93143 | 0.190093 | 0.0950463 | − | 0.995473i | \(-0.469700\pi\) | ||||
0.0950463 | + | 0.995473i | \(0.469700\pi\) | |||||||
\(674\) | −1.58733 | + | 0.916445i | −0.0611416 | + | 0.0353001i | ||||
\(675\) | 19.5941 | + | 16.7805i | 0.754178 | + | 0.645881i | ||||
\(676\) | −4.56908 | + | 7.91387i | −0.175734 | + | 0.304380i | ||||
\(677\) | −7.35012 | − | 12.7308i | −0.282488 | − | 0.489284i | 0.689509 | − | 0.724277i | \(-0.257826\pi\) |
−0.971997 | + | 0.234993i | \(0.924493\pi\) | |||||||
\(678\) | 19.6652 | − | 9.79375i | 0.755239 | − | 0.376127i | ||||
\(679\) | −0.0642352 | − | 2.65957i | −0.00246512 | − | 0.102065i | ||||
\(680\) | 0.558232i | 0.0214072i | ||||||||
\(681\) | 0.520306 | + | 0.344718i | 0.0199382 | + | 0.0132096i | ||||
\(682\) | −8.78290 | − | 5.07081i | −0.336315 | − | 0.194171i | ||||
\(683\) | 42.1416 | + | 24.3305i | 1.61251 | + | 0.930980i | 0.988787 | + | 0.149331i | \(0.0477120\pi\) |
0.623718 | + | 0.781649i | \(0.285621\pi\) | |||||||
\(684\) | −0.684917 | + | 5.53725i | −0.0261885 | + | 0.211722i | ||||
\(685\) | 1.69394i | 0.0647220i | ||||||||
\(686\) | −15.3267 | + | 10.3967i | −0.585176 | + | 0.396950i | ||||
\(687\) | −8.48818 | − | 17.0437i | −0.323844 | − | 0.650259i | ||||
\(688\) | −3.93471 | − | 6.81512i | −0.150009 | − | 0.259824i | ||||
\(689\) | −25.8185 | + | 44.7189i | −0.983605 | + | 1.70365i | ||||
\(690\) | 0.0474138 | − | 0.769561i | 0.00180501 | − | 0.0292967i | ||||
\(691\) | −3.26776 | + | 1.88664i | −0.124312 | + | 0.0717713i | −0.560866 | − | 0.827906i | \(-0.689532\pi\) |
0.436555 | + | 0.899678i | \(0.356199\pi\) | |||||||
\(692\) | −1.87208 | −0.0711656 | ||||||||
\(693\) | −6.44832 | − | 4.62808i | −0.244952 | − | 0.175806i | ||||
\(694\) | −24.7357 | −0.938955 | ||||||||
\(695\) | −0.681428 | + | 0.393423i | −0.0258481 | + | 0.0149234i | ||||
\(696\) | 0.666155 | − | 10.8122i | 0.0252505 | − | 0.409834i | ||||
\(697\) | 0.279116 | − | 0.483443i | 0.0105723 | − | 0.0183117i | ||||
\(698\) | 2.93134 | + | 5.07724i | 0.110953 | + | 0.192176i | ||||
\(699\) | −19.6781 | − | 39.5125i | −0.744295 | − | 1.49450i | ||||
\(700\) | 6.84050 | + | 11.2138i | 0.258546 | + | 0.423840i | ||||
\(701\) | − | 52.6270i | − | 1.98769i | −0.110759 | − | 0.993847i | \(-0.535328\pi\) | ||
0.110759 | − | 0.993847i | \(-0.464672\pi\) | |||||||
\(702\) | 23.0571 | − | 8.13016i | 0.870235 | − | 0.306853i | ||||
\(703\) | −8.79956 | − | 5.08043i | −0.331882 | − | 0.191612i | ||||
\(704\) | 0.866025 | + | 0.500000i | 0.0326396 | + | 0.0188445i | ||||
\(705\) | −1.51437 | − | 1.00332i | −0.0570346 | − | 0.0377871i | ||||
\(706\) | − | 21.4135i | − | 0.805909i | ||||||
\(707\) | −20.7857 | + | 38.0976i | −0.781726 | + | 1.43281i | ||||
\(708\) | −7.22088 | + | 3.59617i | −0.271377 | + | 0.135152i | ||||
\(709\) | 10.1165 | + | 17.5223i | 0.379933 | + | 0.658064i | 0.991052 | − | 0.133475i | \(-0.0426136\pi\) |
−0.611119 | + | 0.791539i | \(0.709280\pi\) | |||||||
\(710\) | 1.26931 | − | 2.19850i | 0.0476362 | − | 0.0825083i | ||||
\(711\) | 9.34138 | + | 22.0618i | 0.350329 | + | 0.827381i | ||||
\(712\) | 7.43490 | − | 4.29254i | 0.278634 | − | 0.160870i | ||||
\(713\) | −24.0438 | −0.900447 | ||||||||
\(714\) | 13.6148 | + | 0.509240i | 0.509521 | + | 0.0190578i | ||||
\(715\) | 0.883447 | 0.0330390 | ||||||||
\(716\) | −3.52389 | + | 2.03452i | −0.131694 | + | 0.0760335i | ||||
\(717\) | 13.3670 | + | 0.823563i | 0.499201 | + | 0.0307565i | ||||
\(718\) | 3.52939 | − | 6.11309i | 0.131716 | − | 0.228138i | ||||
\(719\) | −12.0066 | − | 20.7960i | −0.447771 | − | 0.775562i | 0.550470 | − | 0.834855i | \(-0.314449\pi\) |
−0.998241 | + | 0.0592933i | \(0.981115\pi\) | |||||||
\(720\) | 0.339398 | − | 0.449559i | 0.0126486 | − | 0.0167541i | ||||
\(721\) | 11.4588 | − | 6.98998i | 0.426748 | − | 0.260320i | ||||
\(722\) | 15.5411i | 0.578379i | ||||||||
\(723\) | −6.33760 | + | 9.56577i | −0.235698 | + | 0.355755i | ||||
\(724\) | 11.2789 | + | 6.51185i | 0.419175 | + | 0.242011i | ||||
\(725\) | 26.8907 | + | 15.5254i | 0.998697 | + | 0.576598i | ||||
\(726\) | 0.956629 | − | 1.44390i | 0.0355038 | − | 0.0535883i | ||||
\(727\) | − | 7.57680i | − | 0.281008i | −0.990080 | − | 0.140504i | \(-0.955128\pi\) | ||
0.990080 | − | 0.140504i | \(-0.0448723\pi\) | |||||||
\(728\) | 12.4449 | − | 0.300576i | 0.461240 | − | 0.0111401i | ||||
\(729\) | −25.1806 | − | 9.74354i | −0.932615 | − | 0.360872i | ||||
\(730\) | 1.50586 | + | 2.60823i | 0.0557344 | + | 0.0965348i | ||||
\(731\) | 11.6982 | − | 20.2618i | 0.432672 | − | 0.749411i | ||||
\(732\) | −21.7460 | − | 1.33980i | −0.803754 | − | 0.0495205i | ||||
\(733\) | 43.7430 | − | 25.2551i | 1.61569 | − | 0.932817i | 0.627667 | − | 0.778482i | \(-0.284010\pi\) |
0.988019 | − | 0.154335i | \(-0.0493235\pi\) | |||||||
\(734\) | −13.2342 | −0.488483 | ||||||||
\(735\) | −1.98641 | + | 1.11205i | −0.0732697 | + | 0.0410187i | ||||
\(736\) | 2.37080 | 0.0873890 | ||||||||
\(737\) | 2.23388 | − | 1.28973i | 0.0822861 | − | 0.0475079i | ||||
\(738\) | −0.518707 | + | 0.219631i | −0.0190939 | + | 0.00808471i | ||||
\(739\) | −17.9352 | + | 31.0646i | −0.659756 | + | 1.14273i | 0.320923 | + | 0.947105i | \(0.396007\pi\) |
−0.980679 | + | 0.195625i | \(0.937326\pi\) | |||||||
\(740\) | 0.512909 | + | 0.888384i | 0.0188549 | + | 0.0326576i | ||||
\(741\) | −13.5672 | + | 6.75677i | −0.498403 | + | 0.248216i | ||||
\(742\) | 29.0277 | − | 0.701090i | 1.06564 | − | 0.0257378i | ||||
\(743\) | − | 18.8577i | − | 0.691822i | −0.938267 | − | 0.345911i | \(-0.887570\pi\) | ||
0.938267 | − | 0.345911i | \(-0.112430\pi\) | |||||||
\(744\) | −14.6435 | − | 9.70177i | −0.536858 | − | 0.355684i | ||||
\(745\) | 2.43646 | + | 1.40669i | 0.0892649 | + | 0.0515371i | ||||
\(746\) | 29.1651 | + | 16.8385i | 1.06781 | + | 0.616500i | ||||
\(747\) | −43.9015 | − | 5.43029i | −1.60627 | − | 0.198684i | ||||
\(748\) | 2.97307i | 0.108706i | ||||||||
\(749\) | 0.0541849 | − | 0.0330533i | 0.00197987 | − | 0.00120774i | ||||
\(750\) | 1.44469 | + | 2.90084i | 0.0527526 | + | 0.105924i | ||||
\(751\) | −22.1637 | − | 38.3886i | −0.808764 | − | 1.40082i | −0.913720 | − | 0.406343i | \(-0.866804\pi\) |
0.104956 | − | 0.994477i | \(-0.466530\pi\) | |||||||
\(752\) | 2.79290 | − | 4.83744i | 0.101846 | − | 0.176403i | ||||
\(753\) | −2.75637 | + | 44.7378i | −0.100448 | + | 1.63034i | ||||
\(754\) | 25.4845 | − | 14.7135i | 0.928092 | − | 0.535834i | ||||
\(755\) | −0.102961 | −0.00374712 | ||||||||
\(756\) | −10.6547 | − | 8.68772i | −0.387509 | − | 0.315969i | ||||
\(757\) | −25.8451 | −0.939355 | −0.469677 | − | 0.882838i | \(-0.655630\pi\) | ||||
−0.469677 | + | 0.882838i | \(0.655630\pi\) | |||||||
\(758\) | −12.7079 | + | 7.33688i | −0.461570 | + | 0.266488i | ||||
\(759\) | 0.252520 | − | 4.09858i | 0.00916589 | − | 0.148769i | ||||
\(760\) | −0.174602 | + | 0.302420i | −0.00633349 | + | 0.0109699i | ||||
\(761\) | 3.59703 | + | 6.23024i | 0.130392 | + | 0.225846i | 0.923828 | − | 0.382808i | \(-0.125043\pi\) |
−0.793436 | + | 0.608654i | \(0.791710\pi\) | |||||||
\(762\) | 4.04941 | + | 8.13096i | 0.146695 | + | 0.294554i | ||||
\(763\) | −1.57495 | + | 2.88670i | −0.0570172 | + | 0.104506i | ||||
\(764\) | − | 5.34957i | − | 0.193541i | ||||||
\(765\) | 1.66203 | + | 0.205581i | 0.0600908 | + | 0.00743279i | ||||
\(766\) | −14.8099 | − | 8.55052i | −0.535105 | − | 0.308943i | ||||
\(767\) | −18.9777 | − | 10.9568i | −0.685244 | − | 0.395626i | ||||
\(768\) | 1.44390 | + | 0.956629i | 0.0521024 | + | 0.0345194i | ||||
\(769\) | − | 25.8990i | − | 0.933943i | −0.884272 | − | 0.466972i | \(-0.845345\pi\) | ||
0.884272 | − | 0.466972i | \(-0.154655\pi\) | |||||||
\(770\) | −0.258702 | − | 0.424096i | −0.00932298 | − | 0.0152834i | ||||
\(771\) | −11.3077 | + | 5.63150i | −0.407237 | + | 0.202813i | ||||
\(772\) | −6.59123 | − | 11.4163i | −0.237224 | − | 0.410883i | ||||
\(773\) | 0.846710 | − | 1.46654i | 0.0304540 | − | 0.0527480i | −0.850397 | − | 0.526142i | \(-0.823638\pi\) |
0.880851 | + | 0.473394i | \(0.156971\pi\) | |||||||
\(774\) | −21.7398 | + | 9.20505i | −0.781420 | + | 0.330869i | ||||
\(775\) | 43.6049 | − | 25.1753i | 1.56633 | − | 0.904323i | ||||
\(776\) | 1.00552 | 0.0360959 | ||||||||
\(777\) | 22.1348 | − | 11.6990i | 0.794082 | − | 0.419699i | ||||
\(778\) | 36.0847 | 1.29370 | ||||||||
\(779\) | 0.302420 | − | 0.174602i | 0.0108353 | − | 0.00625577i | ||||
\(780\) | 1.52728 | + | 0.0940980i | 0.0546853 | + | 0.00336925i | ||||
\(781\) | 6.76015 | − | 11.7089i | 0.241897 | − | 0.418979i | ||||
\(782\) | 3.52428 | + | 6.10423i | 0.126028 | + | 0.218287i | ||||
\(783\) | −31.9459 | − | 5.96516i | −1.14165 | − | 0.213178i | ||||
\(784\) | −3.78858 | − | 5.88614i | −0.135306 | − | 0.210219i | ||||
\(785\) | − | 3.60060i | − | 0.128511i | ||||||
\(786\) | 1.91740 | − | 2.89406i | 0.0683913 | − | 0.103228i | ||||
\(787\) | 16.1228 | + | 9.30849i | 0.574715 | + | 0.331812i | 0.759030 | − | 0.651055i | \(-0.225673\pi\) |
−0.184315 | + | 0.982867i | \(0.559007\pi\) | |||||||
\(788\) | 12.6990 | + | 7.33176i | 0.452382 | + | 0.261183i | ||||
\(789\) | 14.2505 | − | 21.5092i | 0.507330 | − | 0.765747i | ||||
\(790\) | 1.49947i | 0.0533487i | ||||||||
\(791\) | −0.810279 | − | 33.5485i | −0.0288102 | − | 1.19285i | ||||
\(792\) | 1.80759 | − | 2.39429i | 0.0642298 | − | 0.0850774i | ||||
\(793\) | −29.5925 | − | 51.2557i | −1.05086 | − | 1.82014i | ||||
\(794\) | 6.39186 | − | 11.0710i | 0.226839 | − | 0.392896i | ||||
\(795\) | 3.56236 | + | 0.219482i | 0.126344 | + | 0.00778423i | ||||
\(796\) | −1.82774 | + | 1.05525i | −0.0647827 | + | 0.0374023i | ||||
\(797\) | −43.0989 | −1.52664 | −0.763321 | − | 0.646019i | \(-0.776433\pi\) | ||||
−0.763321 | + | 0.646019i | \(0.776433\pi\) | |||||||
\(798\) | 7.21648 | + | 4.53428i | 0.255461 | + | 0.160512i | ||||
\(799\) | 16.6069 | 0.587511 | ||||||||
\(800\) | −4.29960 | + | 2.48237i | −0.152014 | + | 0.0877651i | ||||
\(801\) | −10.0422 | − | 23.7168i | −0.354822 | − | 0.837992i | ||||
\(802\) | 11.2479 | − | 19.4819i | 0.397176 | − | 0.687930i | ||||
\(803\) | 8.02001 | + | 13.8911i | 0.283020 | + | 0.490205i | ||||
\(804\) | 3.99925 | − | 1.99172i | 0.141043 | − | 0.0702425i | ||||
\(805\) | −1.03389 | − | 0.564077i | −0.0364397 | − | 0.0198811i | ||||
\(806\) | − | 47.7176i | − | 1.68078i | ||||||
\(807\) | 20.5630 | + | 13.6236i | 0.723853 | + | 0.479574i | ||||
\(808\) | −14.2057 | − | 8.20165i | −0.499754 | − | 0.288533i | ||||
\(809\) | 2.59018 | + | 1.49544i | 0.0910660 | + | 0.0525770i | 0.544841 | − | 0.838539i | \(-0.316590\pi\) |
−0.453775 | + | 0.891116i | \(0.649923\pi\) | |||||||
\(810\) | −1.21349 | − | 1.17605i | −0.0426375 | − | 0.0413223i | ||||
\(811\) | 13.8788i | 0.487350i | 0.969857 | + | 0.243675i | \(0.0783531\pi\) | ||||
−0.969857 | + | 0.243675i | \(0.921647\pi\) | |||||||
\(812\) | −14.5259 | − | 7.92517i | −0.509758 | − | 0.278119i | ||||
\(813\) | 11.0007 | + | 22.0887i | 0.385810 | + | 0.774683i | ||||
\(814\) | 2.73168 | + | 4.73141i | 0.0957454 | + | 0.165836i | ||||
\(815\) | −0.0762853 | + | 0.132130i | −0.00267216 | + | 0.00462831i | ||||
\(816\) | −0.316669 | + | 5.13976i | −0.0110856 | + | 0.179928i | ||||
\(817\) | 12.6749 | − | 7.31784i | 0.443438 | − | 0.256019i | ||||
\(818\) | −12.8069 | −0.447784 | ||||||||
\(819\) | 3.68821 | − | 37.1632i | 0.128876 | − | 1.29859i | ||||
\(820\) | −0.0352549 | −0.00123115 | ||||||||
\(821\) | 4.66052 | − | 2.69075i | 0.162653 | − | 0.0939079i | −0.416464 | − | 0.909152i | \(-0.636731\pi\) |
0.579117 | + | 0.815244i | \(0.303397\pi\) | |||||||
\(822\) | −0.960921 | + | 15.5964i | −0.0335160 | + | 0.543989i | ||||
\(823\) | −14.1424 | + | 24.4953i | −0.492971 | + | 0.853852i | −0.999967 | − | 0.00809699i | \(-0.997423\pi\) |
0.506996 | + | 0.861949i | \(0.330756\pi\) | |||||||
\(824\) | 2.53662 | + | 4.39355i | 0.0883673 | + | 0.153057i | ||||
\(825\) | 3.83350 | + | 7.69743i | 0.133465 | + | 0.267990i | ||||
\(826\) | 0.297527 | + | 12.3187i | 0.0103523 | + | 0.428622i | ||||
\(827\) | 11.1368i | 0.387263i | 0.981074 | + | 0.193632i | \(0.0620267\pi\) | ||||
−0.981074 | + | 0.193632i | \(0.937973\pi\) | |||||||
\(828\) | 0.873099 | − | 7.05862i | 0.0303423 | − | 0.245304i | ||||
\(829\) | 7.98993 | + | 4.61299i | 0.277502 | + | 0.160216i | 0.632292 | − | 0.774730i | \(-0.282114\pi\) |
−0.354790 | + | 0.934946i | \(0.615448\pi\) | |||||||
\(830\) | −2.39770 | − | 1.38431i | −0.0832255 | − | 0.0480503i | ||||
\(831\) | 16.1443 | + | 10.6960i | 0.560039 | + | 0.371042i | ||||
\(832\) | 4.70512i | 0.163121i | ||||||||
\(833\) | 9.52350 | − | 18.5046i | 0.329970 | − | 0.641147i | ||||
\(834\) | −6.49723 | + | 3.23577i | −0.224981 | + | 0.112046i | ||||
\(835\) | 1.35164 | + | 2.34110i | 0.0467753 | + | 0.0810172i | ||||
\(836\) | −0.929908 | + | 1.61065i | −0.0321615 | + | 0.0557054i | ||||
\(837\) | −34.2780 | + | 40.0255i | −1.18482 | + | 1.38348i | ||||
\(838\) | 18.4620 | − | 10.6590i | 0.637758 | − | 0.368210i | ||||
\(839\) | 24.7473 | 0.854372 | 0.427186 | − | 0.904164i | \(-0.359505\pi\) | ||||
0.427186 | + | 0.904164i | \(0.359505\pi\) | |||||||
\(840\) | −0.402066 | − | 0.760720i | −0.0138726 | − | 0.0262473i | ||||
\(841\) | −10.1156 | −0.348815 | ||||||||
\(842\) | 26.4075 | − | 15.2464i | 0.910062 | − | 0.525424i | ||||
\(843\) | −30.2473 | − | 1.86358i | −1.04177 | − | 0.0641852i | ||||
\(844\) | −2.53548 | + | 4.39158i | −0.0872749 | + | 0.151165i | ||||
\(845\) | 0.857903 | + | 1.48593i | 0.0295128 | + | 0.0511176i | ||||
\(846\) | −13.3740 | − | 10.0968i | −0.459808 | − | 0.347135i | ||||
\(847\) | −1.37781 | − | 2.25868i | −0.0473423 | − | 0.0776091i | ||||
\(848\) | 10.9746i | 0.376870i | ||||||||
\(849\) | −6.15192 | + | 9.28550i | −0.211133 | + | 0.318678i | ||||
\(850\) | −12.7830 | − | 7.38026i | −0.438453 | − | 0.253141i | ||||
\(851\) | 11.2173 | + | 6.47628i | 0.384522 | + | 0.222004i | ||||
\(852\) | 12.9339 | − | 19.5220i | 0.443109 | − | 0.668814i | ||||
\(853\) | 49.3949i | 1.69125i | 0.533777 | + | 0.845625i | \(0.320772\pi\) | ||||
−0.533777 | + | 0.845625i | \(0.679228\pi\) | |||||||
\(854\) | −15.9395 | + | 29.2151i | −0.545438 | + | 0.999721i | ||||
\(855\) | 0.836097 | + | 0.631218i | 0.0285939 | + | 0.0215872i | ||||
\(856\) | 0.0119948 | + | 0.0207756i | 0.000409974 | + | 0.000710096i | ||||
\(857\) | 2.81854 | − | 4.88186i | 0.0962796 | − | 0.166761i | −0.813862 | − | 0.581058i | \(-0.802639\pi\) |
0.910142 | + | 0.414297i | \(0.135972\pi\) | |||||||
\(858\) | 8.13408 | + | 0.501153i | 0.277693 | + | 0.0171091i | ||||
\(859\) | −15.7390 | + | 9.08691i | −0.537007 | + | 0.310041i | −0.743865 | − | 0.668330i | \(-0.767010\pi\) |
0.206858 | + | 0.978371i | \(0.433676\pi\) | |||||||
\(860\) | −1.47759 | −0.0503853 | ||||||||
\(861\) | −0.0321608 | + | 0.859836i | −0.00109604 | + | 0.0293031i | ||||
\(862\) | 28.0274 | 0.954618 | ||||||||
\(863\) | 31.0340 | − | 17.9175i | 1.05641 | − | 0.609919i | 0.131973 | − | 0.991253i | \(-0.457869\pi\) |
0.924437 | + | 0.381335i | \(0.124535\pi\) | |||||||
\(864\) | 3.37993 | − | 3.94665i | 0.114988 | − | 0.134268i | ||||
\(865\) | −0.175753 | + | 0.304413i | −0.00597578 | + | 0.0103504i | ||||
\(866\) | 0.392733 | + | 0.680233i | 0.0133456 | + | 0.0231153i | ||||
\(867\) | 12.6527 | − | 6.30136i | 0.429710 | − | 0.214005i | ||||
\(868\) | −22.9067 | + | 13.9733i | −0.777503 | + | 0.474284i | ||||
\(869\) | 7.98598i | 0.270906i | ||||||||
\(870\) | −1.69560 | − | 1.12338i | −0.0574862 | − | 0.0380863i | ||||
\(871\) | 10.5107 | + | 6.06834i | 0.356141 | + | 0.205618i | ||||
\(872\) | −1.07638 | − | 0.621447i | −0.0364508 | − | 0.0210449i | ||||
\(873\) | 0.370303 | − | 2.99373i | 0.0125329 | − | 0.101323i | ||||
\(874\) | 4.40926i | 0.149145i | ||||||||
\(875\) | 4.94878 | − | 0.119525i | 0.167299 | − | 0.00404069i | ||||
\(876\) | 12.3852 | + | 24.8687i | 0.418457 | + | 0.840236i | ||||
\(877\) | 20.7676 | + | 35.9705i | 0.701272 | + | 1.21464i | 0.968020 | + | 0.250872i | \(0.0807174\pi\) |
−0.266748 | + | 0.963766i | \(0.585949\pi\) | |||||||
\(878\) | −7.82210 | + | 13.5483i | −0.263983 | + | 0.457232i | ||||
\(879\) | 0.853046 | − | 13.8456i | 0.0287725 | − | 0.466999i | ||||
\(880\) | 0.162607 | − | 0.0938814i | 0.00548149 | − | 0.00316474i | ||||
\(881\) | −18.5071 | −0.623519 | −0.311760 | − | 0.950161i | \(-0.600918\pi\) | ||||
−0.311760 | + | 0.950161i | \(0.600918\pi\) | |||||||
\(882\) | −18.9201 | + | 9.11209i | −0.637073 | + | 0.306820i | ||||
\(883\) | −36.8028 | −1.23851 | −0.619256 | − | 0.785189i | \(-0.712566\pi\) | ||||
−0.619256 | + | 0.785189i | \(0.712566\pi\) | |||||||
\(884\) | −12.1145 | + | 6.99432i | −0.407455 | + | 0.235245i | ||||
\(885\) | −0.0931432 | + | 1.51178i | −0.00313098 | + | 0.0508180i | ||||
\(886\) | 12.7305 | − | 22.0499i | 0.427691 | − | 0.740782i | ||||
\(887\) | 19.1040 | + | 33.0891i | 0.641450 | + | 1.11102i | 0.985109 | + | 0.171930i | \(0.0550002\pi\) |
−0.343659 | + | 0.939094i | \(0.611666\pi\) | |||||||
\(888\) | 4.21851 | + | 8.47050i | 0.141564 | + | 0.284251i | ||||
\(889\) | 13.8713 | − | 0.335025i | 0.465227 | − | 0.0112364i | ||||
\(890\) | − | 1.61196i | − | 0.0540330i | ||||||
\(891\) | −6.46286 | − | 6.26350i | −0.216514 | − | 0.209835i | ||||
\(892\) | 10.9359 | + | 6.31382i | 0.366160 | + | 0.211402i | ||||
\(893\) | 8.99675 | + | 5.19427i | 0.301065 | + | 0.173820i | ||||
\(894\) | 21.6350 | + | 14.3338i | 0.723583 | + | 0.479394i | ||||
\(895\) | 0.764013i | 0.0255381i | ||||||||
\(896\) | 2.25868 | − | 1.37781i | 0.0754572 | − | 0.0460295i | ||||
\(897\) | 17.2948 | − | 8.61320i | 0.577455 | − | 0.287586i | ||||
\(898\) | 18.3161 | + | 31.7245i | 0.611217 | + | 1.05866i | ||||
\(899\) | −31.7141 | + | 54.9305i | −1.05773 | + | 1.83203i | ||||
\(900\) | 5.80738 | + | 13.7154i | 0.193579 | + | 0.457181i | ||||
\(901\) | −28.2569 | + | 16.3142i | −0.941375 | + | 0.543503i | ||||
\(902\) | −0.187763 | −0.00625182 | ||||||||
\(903\) | −1.34791 | + | 36.0370i | −0.0448556 | + | 1.19924i | ||||
\(904\) | 12.6838 | 0.421858 | ||||||||
\(905\) | 2.11775 | − | 1.22268i | 0.0703964 | − | 0.0406434i | ||||
\(906\) | −0.947980 | − | 0.0584065i | −0.0314945 | − | 0.00194042i | ||||
\(907\) | −1.24230 | + | 2.15173i | −0.0412499 | + | 0.0714469i | −0.885913 | − | 0.463851i | \(-0.846467\pi\) |
0.844663 | + | 0.535298i | \(0.179801\pi\) | |||||||
\(908\) | 0.180173 | + | 0.312069i | 0.00597926 | + | 0.0103564i | ||||
\(909\) | −29.6504 | + | 39.2742i | −0.983441 | + | 1.30264i | ||||
\(910\) | 1.11947 | − | 2.05186i | 0.0371102 | − | 0.0680185i | ||||
\(911\) | 5.28683i | 0.175161i | 0.996157 | + | 0.0875803i | \(0.0279134\pi\) | ||||
−0.996157 | + | 0.0875803i | \(0.972087\pi\) | |||||||
\(912\) | −1.77915 | + | 2.68540i | −0.0589137 | + | 0.0889224i | ||||
\(913\) | −12.7698 | − | 7.37268i | −0.422620 | − | 0.244000i | ||||
\(914\) | −13.6409 | − | 7.87556i | −0.451200 | − | 0.260500i | ||||
\(915\) | −2.25940 | + | 3.41027i | −0.0746936 | + | 0.112740i | ||||
\(916\) | − | 10.9930i | − | 0.363219i | ||||||
\(917\) | −2.76159 | − | 4.52713i | −0.0911958 | − | 0.149499i | ||||
\(918\) | 15.1860 | + | 2.83565i | 0.501214 | + | 0.0935903i | ||||
\(919\) | −8.58985 | − | 14.8781i | −0.283353 | − | 0.490782i | 0.688855 | − | 0.724899i | \(-0.258114\pi\) |
−0.972208 | + | 0.234117i | \(0.924780\pi\) | |||||||
\(920\) | 0.222574 | − | 0.385510i | 0.00733806 | − | 0.0127099i | ||||
\(921\) | −3.65696 | − | 0.225311i | −0.120501 | − | 0.00742424i | ||||
\(922\) | 23.1872 | − | 13.3871i | 0.763629 | − | 0.440881i | ||||
\(923\) | 63.6147 | 2.09390 | ||||||||
\(924\) | −2.14135 | − | 4.05150i | −0.0704453 | − | 0.133284i | ||||
\(925\) | −27.1242 | −0.891839 | ||||||||
\(926\) | 21.0436 | − | 12.1495i | 0.691534 | − | 0.399258i | ||||
\(927\) | 14.0151 | − | 5.93428i | 0.460317 | − | 0.194907i | ||||
\(928\) | 3.12712 | − | 5.41634i | 0.102653 | − | 0.177800i | ||||
\(929\) | 23.1396 | + | 40.0790i | 0.759185 | + | 1.31495i | 0.943266 | + | 0.332037i | \(0.107736\pi\) |
−0.184081 | + | 0.982911i | \(0.558931\pi\) | |||||||
\(930\) | −2.95234 | + | 1.47033i | −0.0968109 | + | 0.0482141i | ||||
\(931\) | 10.9471 | − | 7.04607i | 0.358778 | − | 0.230925i | ||||
\(932\) | − | 25.4851i | − | 0.834791i | ||||||
\(933\) | 7.84701 | + | 5.19887i | 0.256900 | + | 0.170203i | ||||
\(934\) | 24.4957 | + | 14.1426i | 0.801523 | + | 0.462759i | ||||
\(935\) | 0.483443 | + | 0.279116i | 0.0158103 | + | 0.00912807i | ||||
\(936\) | 14.0086 | + | 1.73276i | 0.457885 | + | 0.0566370i | ||||
\(937\) | 7.72600i | 0.252397i | 0.992005 | + | 0.126199i | \(0.0402777\pi\) | ||||
−0.992005 | + | 0.126199i | \(0.959722\pi\) | |||||||
\(938\) | −0.164783 | − | 6.82263i | −0.00538037 | − | 0.222767i | ||||
\(939\) | −22.0064 | − | 44.1875i | −0.718151 | − | 1.44200i | ||||
\(940\) | −0.524402 | − | 0.908291i | −0.0171041 | − | 0.0296252i | ||||
\(941\) | 19.7262 | − | 34.1667i | 0.643055 | − | 1.11380i | −0.341693 | − | 0.939812i | \(-0.611000\pi\) |
0.984747 | − | 0.173992i | \(-0.0556665\pi\) | |||||||
\(942\) | 2.04252 | − | 33.1515i | 0.0665488 | − | 1.08014i | ||||
\(943\) | −0.385510 | + | 0.222574i | −0.0125539 | + | 0.00724802i | ||||
\(944\) | −4.65738 | −0.151585 | ||||||||
\(945\) | −2.41297 | + | 0.916924i | −0.0784939 | + | 0.0298275i | ||||
\(946\) | −7.86942 | −0.255857 | ||||||||
\(947\) | 29.0176 | − | 16.7533i | 0.942946 | − | 0.544410i | 0.0520632 | − | 0.998644i | \(-0.483420\pi\) |
0.890882 | + | 0.454234i | \(0.150087\pi\) | |||||||
\(948\) | −0.850605 | + | 13.8059i | −0.0276264 | + | 0.448396i | ||||
\(949\) | −37.7351 | + | 65.3591i | −1.22493 | + | 2.12165i | ||||
\(950\) | −4.61676 | − | 7.99646i | −0.149787 | − | 0.259439i | ||||
\(951\) | 21.0337 | + | 42.2344i | 0.682065 | + | 1.36955i | ||||
\(952\) | 6.90513 | + | 3.76737i | 0.223797 | + | 0.122101i | ||||
\(953\) | 7.29135i | 0.236190i | 0.993002 | + | 0.118095i | \(0.0376787\pi\) | ||||
−0.993002 | + | 0.118095i | \(0.962321\pi\) | |||||||
\(954\) | 32.6749 | + | 4.04164i | 1.05789 | + | 0.130853i | ||||
\(955\) | −0.869880 | − | 0.502225i | −0.0281486 | − | 0.0162516i | ||||
\(956\) | 6.69619 | + | 3.86605i | 0.216570 | + | 0.125037i | ||||
\(957\) | −9.03054 | − | 5.98300i | −0.291916 | − | 0.193403i | ||||
\(958\) | 35.9426i | 1.16125i | ||||||||
\(959\) | 20.9534 | + | 11.4320i | 0.676621 | + | 0.369158i | ||||
\(960\) | 0.291111 | − | 0.144980i | 0.00939556 | − | 0.00467921i | ||||
\(961\) | 35.9263 | + | 62.2261i | 1.15891 | + | 2.00729i | ||||
\(962\) | −12.8529 | + | 22.2619i | −0.414394 | + | 0.717752i | ||||
\(963\) | 0.0662728 | − | 0.0280612i | 0.00213561 | − | 0.000904260i | ||||
\(964\) | −5.73736 | + | 3.31247i | −0.184788 | + | 0.106687i | ||||
\(965\) | −2.47518 | −0.0796787 | ||||||||
\(966\) | −9.19922 | − | 5.78007i | −0.295980 | − | 0.185971i | ||||
\(967\) | 13.0472 | 0.419568 | 0.209784 | − | 0.977748i | \(-0.432724\pi\) | ||||
0.209784 | + | 0.977748i | \(0.432724\pi\) | |||||||
\(968\) | 0.866025 | − | 0.500000i | 0.0278351 | − | 0.0160706i | ||||
\(969\) | −9.55901 | − | 0.588945i | −0.307080 | − | 0.0189196i | ||||
\(970\) | 0.0943993 | − | 0.163504i | 0.00303098 | − | 0.00524981i | ||||
\(971\) | −17.9357 | − | 31.0656i | −0.575586 | − | 0.996943i | −0.995978 | − | 0.0896009i | \(-0.971441\pi\) |
0.420392 | − | 0.907343i | \(-0.361893\pi\) | |||||||
\(972\) | −10.5057 | − | 11.5165i | −0.336970 | − | 0.369393i | ||||
\(973\) | 0.267710 | + | 11.0841i | 0.00858237 | + | 0.355341i | ||||
\(974\) | 0.314971i | 0.0100923i | ||||||||
\(975\) | −22.3466 | + | 33.7292i | −0.715663 | + | 1.08020i | ||||
\(976\) | −10.8936 | − | 6.28942i | −0.348696 | − | 0.201319i | ||||
\(977\) | −10.8868 | − | 6.28548i | −0.348299 | − | 0.201090i | 0.315637 | − | 0.948880i | \(-0.397782\pi\) |
−0.663936 | + | 0.747790i | \(0.731115\pi\) | |||||||
\(978\) | −0.777329 | + | 1.17328i | −0.0248562 | + | 0.0375172i | ||||
\(979\) | − | 8.58508i | − | 0.274380i | ||||||
\(980\) | −1.31281 | + | 0.0634521i | −0.0419361 | + | 0.00202690i | ||||
\(981\) | −2.24664 | + | 2.97585i | −0.0717297 | + | 0.0950116i | ||||
\(982\) | −11.6119 | − | 20.1124i | −0.370551 | − | 0.641813i | ||||
\(983\) | −17.5055 | + | 30.3205i | −0.558340 | + | 0.967073i | 0.439296 | + | 0.898343i | \(0.355228\pi\) |
−0.997635 | + | 0.0687302i | \(0.978105\pi\) | |||||||
\(984\) | −0.324599 | − | 0.0199991i | −0.0103478 | − | 0.000637547i | ||||
\(985\) | 2.38440 | − | 1.37663i | 0.0759732 | − | 0.0438631i | ||||
\(986\) | 18.5943 | 0.592164 | ||||||||
\(987\) | −22.6308 | + | 11.9611i | −0.720347 | + | 0.380727i | ||||
\(988\) | −8.75066 | −0.278396 | ||||||||
\(989\) | −16.1573 | + | 9.32843i | −0.513773 | + | 0.296627i | ||||
\(990\) | −0.219631 | − | 0.518707i | −0.00698032 | − | 0.0164856i | ||||
\(991\) | 2.77151 | − | 4.80040i | 0.0880399 | − | 0.152490i | −0.818643 | − | 0.574303i | \(-0.805273\pi\) |
0.906683 | + | 0.421814i | \(0.138606\pi\) | |||||||
\(992\) | −5.07081 | − | 8.78290i | −0.160998 | − | 0.278857i | ||||
\(993\) | 52.4207 | − | 26.1067i | 1.66352 | − | 0.828473i | ||||
\(994\) | −18.6285 | − | 30.5380i | −0.590859 | − | 0.968608i | ||||
\(995\) | 0.396273i | 0.0125627i | ||||||||
\(996\) | −21.2909 | − | 14.1058i | −0.674627 | − | 0.446960i | ||||
\(997\) | 11.9995 | + | 6.92792i | 0.380028 | + | 0.219410i | 0.677831 | − | 0.735218i | \(-0.262920\pi\) |
−0.297802 | + | 0.954628i | \(0.596254\pi\) | |||||||
\(998\) | 19.3334 | + | 11.1621i | 0.611988 | + | 0.353331i | ||||
\(999\) | 26.7729 | − | 9.44036i | 0.847056 | − | 0.298680i |
(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 | 462.2.k.g.353.8 | yes | 20 | |
3.2 | odd | 2 | inner | 462.2.k.g.353.1 | yes | 20 | |
7.5 | odd | 6 | inner | 462.2.k.g.89.1 | ✓ | 20 | |
21.5 | even | 6 | inner | 462.2.k.g.89.8 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
462.2.k.g.89.1 | ✓ | 20 | 7.5 | odd | 6 | inner | |
462.2.k.g.89.8 | yes | 20 | 21.5 | even | 6 | inner | |
462.2.k.g.353.1 | yes | 20 | 3.2 | odd | 2 | inner | |
462.2.k.g.353.8 | yes | 20 | 1.1 | even | 1 | trivial |