Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(19,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.w (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 33.3 | ||
Character | \(\chi\) | \(=\) | 91.33 |
Dual form | 91.2.w.a.80.3 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.320827 | + | 1.19734i | −0.226859 | + | 0.846649i | 0.754792 | + | 0.655964i | \(0.227738\pi\) |
−0.981651 | + | 0.190685i | \(0.938929\pi\) | |||||||
\(3\) | − | 2.22531i | − | 1.28478i | −0.766377 | − | 0.642391i | \(-0.777943\pi\) | ||
0.766377 | − | 0.642391i | \(-0.222057\pi\) | |||||||
\(4\) | 0.401352 | + | 0.231720i | 0.200676 | + | 0.115860i | ||||
\(5\) | −0.674321 | − | 2.51660i | −0.301566 | − | 1.12546i | −0.935862 | − | 0.352368i | \(-0.885377\pi\) |
0.634296 | − | 0.773090i | \(-0.281290\pi\) | |||||||
\(6\) | 2.66446 | + | 0.713939i | 1.08776 | + | 0.291464i | ||||
\(7\) | 2.64022 | − | 0.170970i | 0.997910 | − | 0.0646206i | ||||
\(8\) | −2.15924 | + | 2.15924i | −0.763408 | + | 0.763408i | ||||
\(9\) | −1.95199 | −0.650664 | ||||||||
\(10\) | 3.22957 | 1.02128 | ||||||||
\(11\) | −0.999283 | + | 0.999283i | −0.301295 | + | 0.301295i | −0.841520 | − | 0.540225i | \(-0.818339\pi\) |
0.540225 | + | 0.841520i | \(0.318339\pi\) | |||||||
\(12\) | 0.515649 | − | 0.893131i | 0.148855 | − | 0.257825i | ||||
\(13\) | −0.445209 | + | 3.57796i | −0.123479 | + | 0.992347i | ||||
\(14\) | −0.642345 | + | 3.21610i | −0.171674 | + | 0.859539i | ||||
\(15\) | −5.60021 | + | 1.50057i | −1.44597 | + | 0.387446i | ||||
\(16\) | −1.42917 | − | 2.47540i | −0.357293 | − | 0.618849i | ||||
\(17\) | 1.41406 | − | 2.44923i | 0.342961 | − | 0.594026i | −0.642020 | − | 0.766688i | \(-0.721903\pi\) |
0.984981 | + | 0.172662i | \(0.0552368\pi\) | |||||||
\(18\) | 0.626252 | − | 2.33720i | 0.147609 | − | 0.550884i | ||||
\(19\) | −4.42425 | + | 4.42425i | −1.01499 | + | 1.01499i | −0.0151063 | + | 0.999886i | \(0.504809\pi\) |
−0.999886 | + | 0.0151063i | \(0.995191\pi\) | |||||||
\(20\) | 0.312508 | − | 1.16630i | 0.0698789 | − | 0.260792i | ||||
\(21\) | −0.380461 | − | 5.87530i | −0.0830233 | − | 1.28210i | ||||
\(22\) | −0.875887 | − | 1.51708i | −0.186740 | − | 0.323443i | ||||
\(23\) | 0.882253 | − | 0.509369i | 0.183963 | − | 0.106211i | −0.405191 | − | 0.914232i | \(-0.632795\pi\) |
0.589153 | + | 0.808021i | \(0.299461\pi\) | |||||||
\(24\) | 4.80498 | + | 4.80498i | 0.980813 | + | 0.980813i | ||||
\(25\) | −1.54845 | + | 0.893996i | −0.309689 | + | 0.178799i | ||||
\(26\) | −4.14121 | − | 1.68097i | −0.812158 | − | 0.329666i | ||||
\(27\) | − | 2.33214i | − | 0.448820i | ||||||
\(28\) | 1.09927 | + | 0.543174i | 0.207743 | + | 0.102650i | ||||
\(29\) | −2.66549 | + | 4.61676i | −0.494968 | + | 0.857310i | −0.999983 | − | 0.00580039i | \(-0.998154\pi\) |
0.505015 | + | 0.863111i | \(0.331487\pi\) | |||||||
\(30\) | − | 7.18680i | − | 1.31212i | ||||||
\(31\) | −6.46023 | − | 1.73101i | −1.16029 | − | 0.310899i | −0.373210 | − | 0.927747i | \(-0.621743\pi\) |
−0.787083 | + | 0.616848i | \(0.788409\pi\) | |||||||
\(32\) | −2.47675 | + | 0.663644i | −0.437832 | + | 0.117317i | ||||
\(33\) | 2.22371 | + | 2.22371i | 0.387098 | + | 0.387098i | ||||
\(34\) | 2.47890 | + | 2.47890i | 0.425128 | + | 0.425128i | ||||
\(35\) | −2.21062 | − | 6.52910i | −0.373663 | − | 1.10362i | ||||
\(36\) | −0.783435 | − | 0.452317i | −0.130573 | − | 0.0753861i | ||||
\(37\) | 8.89183 | + | 2.38256i | 1.46181 | + | 0.391690i | 0.900114 | − | 0.435655i | \(-0.143483\pi\) |
0.561694 | + | 0.827345i | \(0.310150\pi\) | |||||||
\(38\) | −3.87792 | − | 6.71676i | −0.629082 | − | 1.08960i | ||||
\(39\) | 7.96206 | + | 0.990727i | 1.27495 | + | 0.158643i | ||||
\(40\) | 6.88998 | + | 3.97793i | 1.08940 | + | 0.628966i | ||||
\(41\) | 2.51937 | + | 9.40242i | 0.393459 | + | 1.46841i | 0.824388 | + | 0.566025i | \(0.191519\pi\) |
−0.430929 | + | 0.902386i | \(0.641814\pi\) | |||||||
\(42\) | 7.15681 | + | 1.42941i | 1.10432 | + | 0.220563i | ||||
\(43\) | 0.850246 | − | 0.490890i | 0.129661 | − | 0.0748600i | −0.433766 | − | 0.901025i | \(-0.642816\pi\) |
0.563428 | + | 0.826165i | \(0.309482\pi\) | |||||||
\(44\) | −0.632618 | + | 0.169509i | −0.0953707 | + | 0.0255545i | ||||
\(45\) | 1.31627 | + | 4.91239i | 0.196218 | + | 0.732296i | ||||
\(46\) | 0.326839 | + | 1.21978i | 0.0481897 | + | 0.179847i | ||||
\(47\) | 2.21910 | − | 0.594605i | 0.323688 | − | 0.0867321i | −0.0933159 | − | 0.995637i | \(-0.529747\pi\) |
0.417004 | + | 0.908904i | \(0.363080\pi\) | |||||||
\(48\) | −5.50852 | + | 3.18034i | −0.795086 | + | 0.459043i | ||||
\(49\) | 6.94154 | − | 0.902797i | 0.991648 | − | 0.128971i | ||||
\(50\) | −0.573636 | − | 2.14084i | −0.0811244 | − | 0.302760i | ||||
\(51\) | −5.45029 | − | 3.14673i | −0.763194 | − | 0.440630i | ||||
\(52\) | −1.00777 | + | 1.33286i | −0.139753 | + | 0.184834i | ||||
\(53\) | −2.52978 | − | 4.38171i | −0.347492 | − | 0.601875i | 0.638311 | − | 0.769779i | \(-0.279633\pi\) |
−0.985803 | + | 0.167904i | \(0.946300\pi\) | |||||||
\(54\) | 2.79237 | + | 0.748213i | 0.379993 | + | 0.101819i | ||||
\(55\) | 3.18863 | + | 1.84096i | 0.429955 | + | 0.248235i | ||||
\(56\) | −5.33172 | + | 6.07005i | −0.712481 | + | 0.811144i | ||||
\(57\) | 9.84531 | + | 9.84531i | 1.30404 | + | 1.30404i | ||||
\(58\) | −4.67268 | − | 4.67268i | −0.613553 | − | 0.613553i | ||||
\(59\) | −7.36837 | + | 1.97435i | −0.959280 | + | 0.257038i | −0.704296 | − | 0.709907i | \(-0.748737\pi\) |
−0.254984 | + | 0.966945i | \(0.582070\pi\) | |||||||
\(60\) | −2.59537 | − | 0.695426i | −0.335060 | − | 0.0897792i | ||||
\(61\) | − | 7.79680i | − | 0.998278i | −0.866522 | − | 0.499139i | \(-0.833650\pi\) | ||
0.866522 | − | 0.499139i | \(-0.166350\pi\) | |||||||
\(62\) | 4.14523 | − | 7.17976i | 0.526445 | − | 0.911830i | ||||
\(63\) | −5.15369 | + | 0.333732i | −0.649304 | + | 0.0420463i | ||||
\(64\) | − | 8.89512i | − | 1.11189i | ||||||
\(65\) | 9.30451 | − | 1.29228i | 1.15408 | − | 0.160288i | ||||
\(66\) | −3.37597 | + | 1.94912i | −0.415553 | + | 0.239920i | ||||
\(67\) | −9.24089 | − | 9.24089i | −1.12895 | − | 1.12895i | −0.990347 | − | 0.138607i | \(-0.955738\pi\) |
−0.138607 | − | 0.990347i | \(-0.544262\pi\) | |||||||
\(68\) | 1.13507 | − | 0.655335i | 0.137648 | − | 0.0794711i | ||||
\(69\) | −1.13350 | − | 1.96328i | −0.136458 | − | 0.236352i | ||||
\(70\) | 8.52679 | − | 0.552160i | 1.01915 | − | 0.0659958i | ||||
\(71\) | 2.97420 | − | 11.0999i | 0.352973 | − | 1.31731i | −0.530044 | − | 0.847970i | \(-0.677825\pi\) |
0.883017 | − | 0.469341i | \(-0.155509\pi\) | |||||||
\(72\) | 4.21483 | − | 4.21483i | 0.496722 | − | 0.496722i | ||||
\(73\) | 2.26033 | − | 8.43566i | 0.264552 | − | 0.987320i | −0.697973 | − | 0.716124i | \(-0.745914\pi\) |
0.962524 | − | 0.271196i | \(-0.0874190\pi\) | |||||||
\(74\) | −5.70548 | + | 9.88218i | −0.663248 | + | 1.14878i | ||||
\(75\) | 1.98942 | + | 3.44577i | 0.229718 | + | 0.397883i | ||||
\(76\) | −2.80087 | + | 0.750490i | −0.321282 | + | 0.0860871i | ||||
\(77\) | −2.46748 | + | 2.80917i | −0.281195 | + | 0.320135i | ||||
\(78\) | −3.74068 | + | 9.21546i | −0.423549 | + | 1.04345i | ||||
\(79\) | −2.78395 | + | 4.82194i | −0.313219 | + | 0.542511i | −0.979057 | − | 0.203585i | \(-0.934741\pi\) |
0.665838 | + | 0.746096i | \(0.268074\pi\) | |||||||
\(80\) | −5.26586 | + | 5.26586i | −0.588742 | + | 0.588742i | ||||
\(81\) | −11.0457 | −1.22730 | ||||||||
\(82\) | −12.0662 | −1.33249 | ||||||||
\(83\) | 0.445401 | − | 0.445401i | 0.0488891 | − | 0.0488891i | −0.682240 | − | 0.731129i | \(-0.738994\pi\) |
0.731129 | + | 0.682240i | \(0.238994\pi\) | |||||||
\(84\) | 1.20873 | − | 2.44622i | 0.131883 | − | 0.266905i | ||||
\(85\) | −7.11727 | − | 1.90707i | −0.771977 | − | 0.206851i | ||||
\(86\) | 0.314981 | + | 1.17553i | 0.0339653 | + | 0.126760i | ||||
\(87\) | 10.2737 | + | 5.93153i | 1.10146 | + | 0.635926i | ||||
\(88\) | − | 4.31539i | − | 0.460022i | ||||||
\(89\) | −0.0396274 | + | 0.147892i | −0.00420050 | + | 0.0156765i | −0.967994 | − | 0.250972i | \(-0.919250\pi\) |
0.963794 | + | 0.266649i | \(0.0859164\pi\) | |||||||
\(90\) | −6.30411 | −0.664511 | ||||||||
\(91\) | −0.563727 | + | 9.52272i | −0.0590947 | + | 0.998252i | ||||
\(92\) | 0.472125 | 0.0492224 | ||||||||
\(93\) | −3.85204 | + | 14.3760i | −0.399438 | + | 1.49072i | ||||
\(94\) | 2.84778i | 0.293726i | ||||||||
\(95\) | 14.1174 | + | 8.15070i | 1.44842 | + | 0.836245i | ||||
\(96\) | 1.47681 | + | 5.51153i | 0.150726 | + | 0.562519i | ||||
\(97\) | 2.87974 | + | 0.771623i | 0.292393 | + | 0.0783465i | 0.402034 | − | 0.915625i | \(-0.368303\pi\) |
−0.109641 | + | 0.993971i | \(0.534970\pi\) | |||||||
\(98\) | −1.14608 | + | 8.60104i | −0.115771 | + | 0.868836i | ||||
\(99\) | 1.95059 | − | 1.95059i | 0.196042 | − | 0.196042i | ||||
\(100\) | −0.828628 | −0.0828628 | ||||||||
\(101\) | 5.30100 | 0.527470 | 0.263735 | − | 0.964595i | \(-0.415046\pi\) | ||||
0.263735 | + | 0.964595i | \(0.415046\pi\) | |||||||
\(102\) | 5.51631 | − | 5.51631i | 0.546196 | − | 0.546196i | ||||
\(103\) | 2.40977 | − | 4.17384i | 0.237442 | − | 0.411261i | −0.722538 | − | 0.691331i | \(-0.757025\pi\) |
0.959979 | + | 0.280071i | \(0.0903579\pi\) | |||||||
\(104\) | −6.76437 | − | 8.68700i | −0.663301 | − | 0.851831i | ||||
\(105\) | −14.5292 | + | 4.91931i | −1.41791 | + | 0.480076i | ||||
\(106\) | 6.05803 | − | 1.62325i | 0.588408 | − | 0.157664i | ||||
\(107\) | −0.888713 | − | 1.53930i | −0.0859151 | − | 0.148809i | 0.819866 | − | 0.572556i | \(-0.194048\pi\) |
−0.905781 | + | 0.423747i | \(0.860715\pi\) | |||||||
\(108\) | 0.540404 | − | 0.936007i | 0.0520004 | − | 0.0900673i | ||||
\(109\) | 2.58116 | − | 9.63303i | 0.247231 | − | 0.922677i | −0.725019 | − | 0.688729i | \(-0.758169\pi\) |
0.972249 | − | 0.233948i | \(-0.0751645\pi\) | |||||||
\(110\) | −3.22726 | + | 3.22726i | −0.307707 | + | 0.307707i | ||||
\(111\) | 5.30192 | − | 19.7871i | 0.503236 | − | 1.87810i | ||||
\(112\) | −4.19654 | − | 6.29125i | −0.396536 | − | 0.594467i | ||||
\(113\) | 8.26089 | + | 14.3083i | 0.777119 | + | 1.34601i | 0.933596 | + | 0.358328i | \(0.116653\pi\) |
−0.156477 | + | 0.987682i | \(0.550014\pi\) | |||||||
\(114\) | −14.9469 | + | 8.62957i | −1.39990 | + | 0.808233i | ||||
\(115\) | −1.87680 | − | 1.87680i | −0.175013 | − | 0.175013i | ||||
\(116\) | −2.13959 | + | 1.23530i | −0.198656 | + | 0.114694i | ||||
\(117\) | 0.869045 | − | 6.98415i | 0.0803433 | − | 0.645685i | ||||
\(118\) | − | 9.45589i | − | 0.870485i | ||||||
\(119\) | 3.31470 | − | 6.70828i | 0.303858 | − | 0.614947i | ||||
\(120\) | 8.85212 | − | 15.3323i | 0.808085 | − | 1.39964i | ||||
\(121\) | 9.00287i | 0.818443i | ||||||||
\(122\) | 9.33544 | + | 2.50142i | 0.845191 | + | 0.226468i | ||||
\(123\) | 20.9233 | − | 5.60637i | 1.88659 | − | 0.505510i | ||||
\(124\) | −2.19171 | − | 2.19171i | −0.196822 | − | 0.196822i | ||||
\(125\) | −5.91742 | − | 5.91742i | −0.529270 | − | 0.529270i | ||||
\(126\) | 1.25385 | − | 6.27781i | 0.111702 | − | 0.559272i | ||||
\(127\) | −5.35860 | − | 3.09379i | −0.475499 | − | 0.274529i | 0.243040 | − | 0.970016i | \(-0.421855\pi\) |
−0.718539 | + | 0.695487i | \(0.755189\pi\) | |||||||
\(128\) | 5.69700 | + | 1.52651i | 0.503548 | + | 0.134925i | ||||
\(129\) | −1.09238 | − | 1.89206i | −0.0961788 | − | 0.166587i | ||||
\(130\) | −1.43784 | + | 11.5553i | −0.126107 | + | 1.01347i | ||||
\(131\) | −2.15037 | − | 1.24152i | −0.187879 | − | 0.108472i | 0.403110 | − | 0.915151i | \(-0.367929\pi\) |
−0.590989 | + | 0.806680i | \(0.701262\pi\) | |||||||
\(132\) | 0.377211 | + | 1.40777i | 0.0328320 | + | 0.122531i | ||||
\(133\) | −10.9246 | + | 12.4374i | −0.947281 | + | 1.07846i | ||||
\(134\) | 14.0292 | − | 8.09978i | 1.21194 | − | 0.699715i | ||||
\(135\) | −5.86906 | + | 1.57261i | −0.505128 | + | 0.135349i | ||||
\(136\) | 2.23518 | + | 8.34180i | 0.191665 | + | 0.715304i | ||||
\(137\) | 3.40710 | + | 12.7155i | 0.291088 | + | 1.08636i | 0.944274 | + | 0.329159i | \(0.106765\pi\) |
−0.653186 | + | 0.757197i | \(0.726568\pi\) | |||||||
\(138\) | 2.71438 | − | 0.727317i | 0.231064 | − | 0.0619133i | ||||
\(139\) | −15.3254 | + | 8.84813i | −1.29988 | + | 0.750488i | −0.980384 | − | 0.197098i | \(-0.936848\pi\) |
−0.319500 | + | 0.947586i | \(0.603515\pi\) | |||||||
\(140\) | 0.625689 | − | 3.13271i | 0.0528804 | − | 0.264762i | ||||
\(141\) | −1.32318 | − | 4.93817i | −0.111432 | − | 0.415869i | ||||
\(142\) | 12.3361 | + | 7.12227i | 1.03523 | + | 0.597688i | ||||
\(143\) | −3.13050 | − | 4.02028i | −0.261786 | − | 0.336193i | ||||
\(144\) | 2.78973 | + | 4.83196i | 0.232478 | + | 0.402663i | ||||
\(145\) | 13.4159 | + | 3.59479i | 1.11413 | + | 0.298531i | ||||
\(146\) | 9.37521 | + | 5.41278i | 0.775898 | + | 0.447965i | ||||
\(147\) | −2.00900 | − | 15.4471i | −0.165700 | − | 1.27405i | ||||
\(148\) | 3.01666 | + | 3.01666i | 0.247968 | + | 0.247968i | ||||
\(149\) | −11.8340 | − | 11.8340i | −0.969478 | − | 0.969478i | 0.0300698 | − | 0.999548i | \(-0.490427\pi\) |
−0.999548 | + | 0.0300698i | \(0.990427\pi\) | |||||||
\(150\) | −4.76402 | + | 1.27652i | −0.388981 | + | 0.104227i | ||||
\(151\) | 8.49993 | + | 2.27755i | 0.691715 | + | 0.185344i | 0.587516 | − | 0.809212i | \(-0.300106\pi\) |
0.104198 | + | 0.994557i | \(0.466772\pi\) | |||||||
\(152\) | − | 19.1061i | − | 1.54971i | ||||||
\(153\) | −2.76024 | + | 4.78088i | −0.223153 | + | 0.386512i | ||||
\(154\) | −2.57191 | − | 3.85568i | −0.207250 | − | 0.310699i | ||||
\(155\) | 17.4251i | 1.39962i | ||||||||
\(156\) | 2.96601 | + | 2.24260i | 0.237471 | + | 0.179552i | ||||
\(157\) | 4.38854 | − | 2.53373i | 0.350244 | − | 0.202213i | −0.314549 | − | 0.949241i | \(-0.601853\pi\) |
0.664793 | + | 0.747028i | \(0.268520\pi\) | |||||||
\(158\) | −4.88035 | − | 4.88035i | −0.388260 | − | 0.388260i | ||||
\(159\) | −9.75066 | + | 5.62955i | −0.773278 | + | 0.446452i | ||||
\(160\) | 3.34025 | + | 5.78549i | 0.264070 | + | 0.457383i | ||||
\(161\) | 2.24226 | − | 1.49569i | 0.176715 | − | 0.117877i | ||||
\(162\) | 3.54376 | − | 13.2255i | 0.278424 | − | 1.03909i | ||||
\(163\) | −1.77633 | + | 1.77633i | −0.139133 | + | 0.139133i | −0.773243 | − | 0.634110i | \(-0.781367\pi\) |
0.634110 | + | 0.773243i | \(0.281367\pi\) | |||||||
\(164\) | −1.16758 | + | 4.35746i | −0.0911726 | + | 0.340261i | ||||
\(165\) | 4.09670 | − | 7.09569i | 0.318928 | − | 0.552399i | ||||
\(166\) | 0.390401 | + | 0.676194i | 0.0303010 | + | 0.0524828i | ||||
\(167\) | 2.57849 | − | 0.690905i | 0.199530 | − | 0.0534639i | −0.157670 | − | 0.987492i | \(-0.550398\pi\) |
0.357200 | + | 0.934028i | \(0.383732\pi\) | |||||||
\(168\) | 13.5077 | + | 11.8647i | 1.04214 | + | 0.915382i | ||||
\(169\) | −12.6036 | − | 3.18588i | −0.969506 | − | 0.245068i | ||||
\(170\) | 4.56683 | − | 7.90998i | 0.350260 | − | 0.606668i | ||||
\(171\) | 8.63610 | − | 8.63610i | 0.660419 | − | 0.660419i | ||||
\(172\) | 0.454997 | 0.0346932 | ||||||||
\(173\) | 1.54194 | 0.117231 | 0.0586156 | − | 0.998281i | \(-0.481331\pi\) | ||||
0.0586156 | + | 0.998281i | \(0.481331\pi\) | |||||||
\(174\) | −10.3981 | + | 10.3981i | −0.788282 | + | 0.788282i | ||||
\(175\) | −3.93539 | + | 2.62508i | −0.297488 | + | 0.198438i | ||||
\(176\) | 3.90177 | + | 1.04547i | 0.294107 | + | 0.0788056i | ||||
\(177\) | 4.39353 | + | 16.3969i | 0.330238 | + | 1.23247i | ||||
\(178\) | −0.164363 | − | 0.0948952i | −0.0123196 | − | 0.00711270i | ||||
\(179\) | 17.6754i | 1.32112i | 0.750772 | + | 0.660562i | \(0.229682\pi\) | ||||
−0.750772 | + | 0.660562i | \(0.770318\pi\) | |||||||
\(180\) | −0.610014 | + | 2.27660i | −0.0454677 | + | 0.169688i | ||||
\(181\) | −0.905550 | −0.0673090 | −0.0336545 | − | 0.999434i | \(-0.510715\pi\) | ||||
−0.0336545 | + | 0.999434i | \(0.510715\pi\) | |||||||
\(182\) | −11.2211 | − | 3.73012i | −0.831763 | − | 0.276495i | ||||
\(183\) | −17.3503 | −1.28257 | ||||||||
\(184\) | −0.805148 | + | 3.00485i | −0.0593563 | + | 0.221521i | ||||
\(185\) | − | 23.9838i | − | 1.76332i | ||||||
\(186\) | −15.9772 | − | 9.22442i | −1.17150 | − | 0.676367i | ||||
\(187\) | 1.03442 | + | 3.86053i | 0.0756446 | + | 0.282310i | ||||
\(188\) | 1.02842 | + | 0.275564i | 0.0750052 | + | 0.0200976i | ||||
\(189\) | −0.398726 | − | 6.15736i | −0.0290030 | − | 0.447882i | ||||
\(190\) | −14.2884 | + | 14.2884i | −1.03659 | + | 1.03659i | ||||
\(191\) | 23.4266 | 1.69509 | 0.847546 | − | 0.530723i | \(-0.178079\pi\) | ||||
0.847546 | + | 0.530723i | \(0.178079\pi\) | |||||||
\(192\) | −19.7944 | −1.42854 | ||||||||
\(193\) | −8.43103 | + | 8.43103i | −0.606878 | + | 0.606878i | −0.942129 | − | 0.335251i | \(-0.891179\pi\) |
0.335251 | + | 0.942129i | \(0.391179\pi\) | |||||||
\(194\) | −1.84780 | + | 3.20048i | −0.132664 | + | 0.229781i | ||||
\(195\) | −2.87572 | − | 20.7054i | −0.205935 | − | 1.48274i | ||||
\(196\) | 2.99519 | + | 1.24616i | 0.213942 | + | 0.0890112i | ||||
\(197\) | 10.0281 | − | 2.68702i | 0.714472 | − | 0.191442i | 0.116768 | − | 0.993159i | \(-0.462747\pi\) |
0.597704 | + | 0.801717i | \(0.296080\pi\) | |||||||
\(198\) | 1.70973 | + | 2.96133i | 0.121505 | + | 0.210453i | ||||
\(199\) | −1.98758 | + | 3.44258i | −0.140896 | + | 0.244038i | −0.927834 | − | 0.372993i | \(-0.878332\pi\) |
0.786939 | + | 0.617031i | \(0.211665\pi\) | |||||||
\(200\) | 1.41312 | − | 5.27383i | 0.0999225 | − | 0.372916i | ||||
\(201\) | −20.5638 | + | 20.5638i | −1.45046 | + | 1.45046i | ||||
\(202\) | −1.70071 | + | 6.34712i | −0.119661 | + | 0.446582i | ||||
\(203\) | −6.24815 | + | 12.6450i | −0.438534 | + | 0.887504i | ||||
\(204\) | −1.45832 | − | 2.52589i | −0.102103 | − | 0.176848i | ||||
\(205\) | 21.9633 | − | 12.6805i | 1.53398 | − | 0.885644i | ||||
\(206\) | 4.22440 | + | 4.22440i | 0.294328 | + | 0.294328i | ||||
\(207\) | −1.72215 | + | 0.994285i | −0.119698 | + | 0.0691076i | ||||
\(208\) | 9.49314 | − | 4.01144i | 0.658231 | − | 0.278144i | ||||
\(209\) | − | 8.84215i | − | 0.611624i | ||||||
\(210\) | −1.22873 | − | 18.9747i | −0.0847902 | − | 1.30938i | ||||
\(211\) | 2.47669 | − | 4.28976i | 0.170503 | − | 0.295319i | −0.768093 | − | 0.640338i | \(-0.778794\pi\) |
0.938596 | + | 0.345019i | \(0.112128\pi\) | |||||||
\(212\) | − | 2.34481i | − | 0.161042i | ||||||
\(213\) | −24.7006 | − | 6.61851i | −1.69246 | − | 0.453493i | ||||
\(214\) | 2.12819 | − | 0.570246i | 0.145480 | − | 0.0389812i | ||||
\(215\) | −1.80871 | − | 1.80871i | −0.123353 | − | 0.123353i | ||||
\(216\) | 5.03565 | + | 5.03565i | 0.342633 | + | 0.342633i | ||||
\(217\) | −17.3524 | − | 3.46576i | −1.17796 | − | 0.235271i | ||||
\(218\) | 10.7059 | + | 6.18107i | 0.725097 | + | 0.418635i | ||||
\(219\) | −18.7719 | − | 5.02993i | −1.26849 | − | 0.339891i | ||||
\(220\) | 0.853175 | + | 1.47774i | 0.0575211 | + | 0.0996294i | ||||
\(221\) | 8.13370 | + | 6.14989i | 0.547132 | + | 0.413686i | ||||
\(222\) | 21.9909 | + | 12.6964i | 1.47593 | + | 0.852129i | ||||
\(223\) | −4.57716 | − | 17.0822i | −0.306509 | − | 1.14391i | −0.931638 | − | 0.363387i | \(-0.881620\pi\) |
0.625129 | − | 0.780521i | \(-0.285046\pi\) | |||||||
\(224\) | −6.42571 | + | 2.17562i | −0.429336 | + | 0.145364i | ||||
\(225\) | 3.02256 | − | 1.74507i | 0.201504 | − | 0.116338i | ||||
\(226\) | −19.7822 | + | 5.30063i | −1.31589 | + | 0.352593i | ||||
\(227\) | 3.92497 | + | 14.6482i | 0.260510 | + | 0.972235i | 0.964942 | + | 0.262464i | \(0.0845350\pi\) |
−0.704432 | + | 0.709771i | \(0.748798\pi\) | |||||||
\(228\) | 1.67007 | + | 6.23279i | 0.110603 | + | 0.412777i | ||||
\(229\) | 14.4750 | − | 3.87857i | 0.956536 | − | 0.256303i | 0.253403 | − | 0.967361i | \(-0.418450\pi\) |
0.703134 | + | 0.711058i | \(0.251784\pi\) | |||||||
\(230\) | 2.84930 | − | 1.64505i | 0.187877 | − | 0.108471i | ||||
\(231\) | 6.25128 | + | 5.49090i | 0.411304 | + | 0.361275i | ||||
\(232\) | −4.21327 | − | 15.7241i | −0.276615 | − | 1.03234i | ||||
\(233\) | −5.38039 | − | 3.10637i | −0.352481 | − | 0.203505i | 0.313297 | − | 0.949655i | \(-0.398567\pi\) |
−0.665777 | + | 0.746150i | \(0.731900\pi\) | |||||||
\(234\) | 8.08361 | + | 3.28125i | 0.528442 | + | 0.214502i | ||||
\(235\) | −2.99277 | − | 5.18363i | −0.195227 | − | 0.338142i | ||||
\(236\) | −3.41480 | − | 0.914994i | −0.222285 | − | 0.0595610i | ||||
\(237\) | 10.7303 | + | 6.19515i | 0.697008 | + | 0.402418i | ||||
\(238\) | 6.96866 | + | 6.12103i | 0.451711 | + | 0.396767i | ||||
\(239\) | −14.1820 | − | 14.1820i | −0.917358 | − | 0.917358i | 0.0794785 | − | 0.996837i | \(-0.474674\pi\) |
−0.996837 | + | 0.0794785i | \(0.974674\pi\) | |||||||
\(240\) | 11.7182 | + | 11.7182i | 0.756404 | + | 0.756404i | ||||
\(241\) | 1.10961 | − | 0.297318i | 0.0714760 | − | 0.0191519i | −0.222904 | − | 0.974840i | \(-0.571554\pi\) |
0.294380 | + | 0.955688i | \(0.404887\pi\) | |||||||
\(242\) | −10.7795 | − | 2.88836i | −0.692934 | − | 0.185671i | ||||
\(243\) | 17.5837i | 1.12799i | ||||||||
\(244\) | 1.80668 | − | 3.12926i | 0.115661 | − | 0.200330i | ||||
\(245\) | −6.95281 | − | 16.8603i | −0.444199 | − | 1.07717i | ||||
\(246\) | 26.8510i | 1.71196i | ||||||||
\(247\) | −13.8601 | − | 17.7995i | −0.881895 | − | 1.13255i | ||||
\(248\) | 17.6869 | − | 10.2115i | 1.12312 | − | 0.648433i | ||||
\(249\) | −0.991153 | − | 0.991153i | −0.0628118 | − | 0.0628118i | ||||
\(250\) | 8.98365 | − | 5.18671i | 0.568176 | − | 0.328036i | ||||
\(251\) | 14.3378 | + | 24.8339i | 0.904997 | + | 1.56750i | 0.820921 | + | 0.571041i | \(0.193460\pi\) |
0.0840758 | + | 0.996459i | \(0.473206\pi\) | |||||||
\(252\) | −2.14578 | − | 1.06027i | −0.135171 | − | 0.0667909i | ||||
\(253\) | −0.372617 | + | 1.39062i | −0.0234262 | + | 0.0874278i | ||||
\(254\) | 5.42350 | − | 5.42350i | 0.340301 | − | 0.340301i | ||||
\(255\) | −4.24381 | + | 15.8381i | −0.265758 | + | 0.991822i | ||||
\(256\) | 5.23962 | − | 9.07528i | 0.327476 | − | 0.567205i | ||||
\(257\) | −9.80977 | − | 16.9910i | −0.611916 | − | 1.05987i | −0.990917 | − | 0.134474i | \(-0.957066\pi\) |
0.379001 | − | 0.925396i | \(-0.376268\pi\) | |||||||
\(258\) | 2.61591 | − | 0.700930i | 0.162859 | − | 0.0436380i | ||||
\(259\) | 23.8837 | + | 4.77025i | 1.48406 | + | 0.296409i | ||||
\(260\) | 4.03383 | + | 1.63739i | 0.250167 | + | 0.101546i | ||||
\(261\) | 5.20301 | − | 9.01188i | 0.322058 | − | 0.557821i | ||||
\(262\) | 2.17642 | − | 2.17642i | 0.134459 | − | 0.134459i | ||||
\(263\) | 8.08686 | 0.498657 | 0.249328 | − | 0.968419i | \(-0.419790\pi\) | ||||
0.249328 | + | 0.968419i | \(0.419790\pi\) | |||||||
\(264\) | −9.60307 | −0.591028 | ||||||||
\(265\) | −9.32114 | + | 9.32114i | −0.572593 | + | 0.572593i | ||||
\(266\) | −11.3869 | − | 17.0707i | −0.698178 | − | 1.04667i | ||||
\(267\) | 0.329104 | + | 0.0881832i | 0.0201409 | + | 0.00539673i | ||||
\(268\) | −1.56754 | − | 5.85015i | −0.0957529 | − | 0.357355i | ||||
\(269\) | 12.4201 | + | 7.17073i | 0.757265 | + | 0.437207i | 0.828313 | − | 0.560266i | \(-0.189301\pi\) |
−0.0710476 | + | 0.997473i | \(0.522634\pi\) | |||||||
\(270\) | − | 7.53181i | − | 0.458371i | ||||||
\(271\) | −6.76641 | + | 25.2526i | −0.411030 | + | 1.53398i | 0.381627 | + | 0.924316i | \(0.375364\pi\) |
−0.792657 | + | 0.609668i | \(0.791303\pi\) | |||||||
\(272\) | −8.08376 | −0.490150 | ||||||||
\(273\) | 21.1910 | + | 1.25447i | 1.28254 | + | 0.0759237i | ||||
\(274\) | −16.3179 | −0.985799 | ||||||||
\(275\) | 0.653981 | − | 2.44069i | 0.0394365 | − | 0.147179i | ||||
\(276\) | − | 1.05062i | − | 0.0632401i | ||||||
\(277\) | −5.08216 | − | 2.93419i | −0.305357 | − | 0.176298i | 0.339490 | − | 0.940610i | \(-0.389746\pi\) |
−0.644847 | + | 0.764312i | \(0.723079\pi\) | |||||||
\(278\) | −5.67744 | − | 21.1885i | −0.340510 | − | 1.27080i | ||||
\(279\) | 12.6103 | + | 3.37893i | 0.754961 | + | 0.202291i | ||||
\(280\) | 18.8712 | + | 9.32464i | 1.12777 | + | 0.557254i | ||||
\(281\) | 16.4096 | − | 16.4096i | 0.978913 | − | 0.978913i | −0.0208690 | − | 0.999782i | \(-0.506643\pi\) |
0.999782 | + | 0.0208690i | \(0.00664330\pi\) | |||||||
\(282\) | 6.33719 | 0.377374 | ||||||||
\(283\) | −22.3958 | −1.33129 | −0.665645 | − | 0.746269i | \(-0.731843\pi\) | ||||
−0.665645 | + | 0.746269i | \(0.731843\pi\) | |||||||
\(284\) | 3.76576 | − | 3.76576i | 0.223457 | − | 0.223457i | ||||
\(285\) | 18.1378 | − | 31.4156i | 1.07439 | − | 1.86090i | ||||
\(286\) | 5.81800 | − | 2.45847i | 0.344026 | − | 0.145372i | ||||
\(287\) | 8.25922 | + | 24.3937i | 0.487527 | + | 1.43992i | ||||
\(288\) | 4.83460 | − | 1.29543i | 0.284882 | − | 0.0763338i | ||||
\(289\) | 4.50084 | + | 7.79569i | 0.264755 | + | 0.458570i | ||||
\(290\) | −8.60838 | + | 14.9102i | −0.505502 | + | 0.875555i | ||||
\(291\) | 1.71710 | − | 6.40830i | 0.100658 | − | 0.375661i | ||||
\(292\) | 2.86190 | − | 2.86190i | 0.167480 | − | 0.167480i | ||||
\(293\) | −1.22119 | + | 4.55756i | −0.0713429 | + | 0.266255i | −0.992379 | − | 0.123221i | \(-0.960677\pi\) |
0.921036 | + | 0.389477i | \(0.127344\pi\) | |||||||
\(294\) | 19.1400 | + | 2.55037i | 1.11627 | + | 0.148741i | ||||
\(295\) | 9.93730 | + | 17.2119i | 0.578572 | + | 1.00212i | ||||
\(296\) | −24.3442 | + | 14.0551i | −1.41498 | + | 0.816936i | ||||
\(297\) | 2.33046 | + | 2.33046i | 0.135227 | + | 0.135227i | ||||
\(298\) | 17.9660 | − | 10.3727i | 1.04074 | − | 0.600873i | ||||
\(299\) | 1.42971 | + | 3.38344i | 0.0826825 | + | 0.195669i | ||||
\(300\) | 1.84395i | 0.106461i | ||||||||
\(301\) | 2.16091 | − | 1.44142i | 0.124553 | − | 0.0830823i | ||||
\(302\) | −5.45401 | + | 9.44663i | −0.313843 | + | 0.543592i | ||||
\(303\) | − | 11.7964i | − | 0.677683i | ||||||
\(304\) | 17.2748 | + | 4.62876i | 0.990776 | + | 0.265478i | ||||
\(305\) | −19.6214 | + | 5.25755i | −1.12352 | + | 0.301046i | ||||
\(306\) | −4.83880 | − | 4.83880i | −0.276616 | − | 0.276616i | ||||
\(307\) | −3.77977 | − | 3.77977i | −0.215723 | − | 0.215723i | 0.590970 | − | 0.806693i | \(-0.298745\pi\) |
−0.806693 | + | 0.590970i | \(0.798745\pi\) | |||||||
\(308\) | −1.64127 | + | 0.555701i | −0.0935201 | + | 0.0316640i | ||||
\(309\) | −9.28808 | − | 5.36248i | −0.528380 | − | 0.305061i | ||||
\(310\) | −20.8638 | − | 5.59044i | −1.18498 | − | 0.317516i | ||||
\(311\) | −1.26681 | − | 2.19418i | −0.0718343 | − | 0.124421i | 0.827871 | − | 0.560919i | \(-0.189552\pi\) |
−0.899705 | + | 0.436498i | \(0.856219\pi\) | |||||||
\(312\) | −19.3313 | + | 15.0528i | −1.09442 | + | 0.852197i | ||||
\(313\) | 4.62033 | + | 2.66755i | 0.261157 | + | 0.150779i | 0.624862 | − | 0.780735i | \(-0.285155\pi\) |
−0.363705 | + | 0.931514i | \(0.618489\pi\) | |||||||
\(314\) | 1.62578 | + | 6.06748i | 0.0917478 | + | 0.342408i | ||||
\(315\) | 4.31512 | + | 12.7448i | 0.243129 | + | 0.718085i | ||||
\(316\) | −2.23469 | + | 1.29020i | −0.125711 | + | 0.0725792i | ||||
\(317\) | 12.2492 | − | 3.28216i | 0.687982 | − | 0.184344i | 0.102141 | − | 0.994770i | \(-0.467431\pi\) |
0.585841 | + | 0.810426i | \(0.300764\pi\) | |||||||
\(318\) | −3.61222 | − | 13.4810i | −0.202563 | − | 0.755976i | ||||
\(319\) | −1.94987 | − | 7.27702i | −0.109172 | − | 0.407435i | ||||
\(320\) | −22.3855 | + | 5.99817i | −1.25139 | + | 0.335308i | ||||
\(321\) | −3.42541 | + | 1.97766i | −0.191188 | + | 0.110382i | ||||
\(322\) | 1.07147 | + | 3.16461i | 0.0597108 | + | 0.176357i | ||||
\(323\) | 4.57984 | + | 17.0922i | 0.254829 | + | 0.951035i | ||||
\(324\) | −4.43321 | − | 2.55951i | −0.246289 | − | 0.142195i | ||||
\(325\) | −2.50930 | − | 5.93829i | −0.139191 | − | 0.329397i | ||||
\(326\) | −1.55698 | − | 2.69677i | −0.0862333 | − | 0.149360i | ||||
\(327\) | −21.4365 | − | 5.74388i | −1.18544 | − | 0.317637i | ||||
\(328\) | −25.7420 | − | 14.8622i | −1.42137 | − | 0.820626i | ||||
\(329\) | 5.75725 | − | 1.94929i | 0.317407 | − | 0.107468i | ||||
\(330\) | 7.18164 | + | 7.18164i | 0.395336 | + | 0.395336i | ||||
\(331\) | 6.32952 | + | 6.32952i | 0.347902 | + | 0.347902i | 0.859328 | − | 0.511426i | \(-0.170882\pi\) |
−0.511426 | + | 0.859328i | \(0.670882\pi\) | |||||||
\(332\) | 0.281971 | − | 0.0755538i | 0.0154751 | − | 0.00414655i | ||||
\(333\) | −17.3568 | − | 4.65074i | −0.951146 | − | 0.254859i | ||||
\(334\) | 3.30900i | 0.181061i | ||||||||
\(335\) | −17.0243 | + | 29.4870i | −0.930137 | + | 1.61105i | ||||
\(336\) | −14.0000 | + | 9.33860i | −0.763760 | + | 0.509463i | ||||
\(337\) | 8.38324i | 0.456664i | 0.973583 | + | 0.228332i | \(0.0733272\pi\) | ||||
−0.973583 | + | 0.228332i | \(0.926673\pi\) | |||||||
\(338\) | 7.85816 | − | 14.0687i | 0.427427 | − | 0.765236i | ||||
\(339\) | 31.8403 | − | 18.3830i | 1.72933 | − | 0.998428i | ||||
\(340\) | −2.41462 | − | 2.41462i | −0.130951 | − | 0.130951i | ||||
\(341\) | 8.18537 | − | 4.72583i | 0.443263 | − | 0.255918i | ||||
\(342\) | 7.56968 | + | 13.1111i | 0.409321 | + | 0.708965i | ||||
\(343\) | 18.1728 | − | 3.57038i | 0.981242 | − | 0.192782i | ||||
\(344\) | −0.775938 | + | 2.89584i | −0.0418358 | + | 0.156133i | ||||
\(345\) | −4.17646 | + | 4.17646i | −0.224853 | + | 0.224853i | ||||
\(346\) | −0.494695 | + | 1.84623i | −0.0265949 | + | 0.0992537i | ||||
\(347\) | 13.7882 | − | 23.8819i | 0.740190 | − | 1.28205i | −0.212218 | − | 0.977222i | \(-0.568069\pi\) |
0.952408 | − | 0.304825i | \(-0.0985979\pi\) | |||||||
\(348\) | 2.74891 | + | 4.76125i | 0.147357 | + | 0.255230i | ||||
\(349\) | 34.2817 | − | 9.18577i | 1.83506 | − | 0.491703i | 0.836633 | − | 0.547765i | \(-0.184521\pi\) |
0.998427 | + | 0.0560618i | \(0.0178544\pi\) | |||||||
\(350\) | −1.88054 | − | 5.55421i | −0.100519 | − | 0.296885i | ||||
\(351\) | 8.34429 | + | 1.03829i | 0.445385 | + | 0.0554198i | ||||
\(352\) | 1.81181 | − | 3.13814i | 0.0965697 | − | 0.167264i | ||||
\(353\) | −5.13590 | + | 5.13590i | −0.273356 | + | 0.273356i | −0.830450 | − | 0.557093i | \(-0.811917\pi\) |
0.557093 | + | 0.830450i | \(0.311917\pi\) | |||||||
\(354\) | −21.0423 | −1.11838 | ||||||||
\(355\) | −29.9395 | −1.58902 | ||||||||
\(356\) | −0.0501740 | + | 0.0501740i | −0.00265922 | + | 0.00265922i | ||||
\(357\) | −14.9280 | − | 7.37622i | −0.790072 | − | 0.390391i | ||||
\(358\) | −21.1635 | − | 5.67075i | −1.11853 | − | 0.299709i | ||||
\(359\) | −4.07442 | − | 15.2059i | −0.215040 | − | 0.802539i | −0.986153 | − | 0.165841i | \(-0.946966\pi\) |
0.771113 | − | 0.636698i | \(-0.219700\pi\) | |||||||
\(360\) | −13.4492 | − | 7.76490i | −0.708835 | − | 0.409246i | ||||
\(361\) | − | 20.1479i | − | 1.06042i | ||||||
\(362\) | 0.290525 | − | 1.08425i | 0.0152696 | − | 0.0569871i | ||||
\(363\) | 20.0341 | 1.05152 | ||||||||
\(364\) | −2.43286 | + | 3.69133i | −0.127517 | + | 0.193478i | ||||
\(365\) | −22.7534 | −1.19097 | ||||||||
\(366\) | 5.56644 | − | 20.7742i | 0.290962 | − | 1.08589i | ||||
\(367\) | − | 0.323583i | − | 0.0168909i | −0.999964 | − | 0.00844546i | \(-0.997312\pi\) | ||
0.999964 | − | 0.00844546i | \(-0.00268830\pi\) | |||||||
\(368\) | −2.52178 | − | 1.45595i | −0.131457 | − | 0.0758967i | ||||
\(369\) | −4.91779 | − | 18.3534i | −0.256010 | − | 0.955442i | ||||
\(370\) | 28.7168 | + | 7.69465i | 1.49292 | + | 0.400026i | ||||
\(371\) | −7.42833 | − | 11.1362i | −0.385660 | − | 0.578161i | ||||
\(372\) | −4.87724 | + | 4.87724i | −0.252873 | + | 0.252873i | ||||
\(373\) | −32.2880 | −1.67181 | −0.835905 | − | 0.548874i | \(-0.815057\pi\) | ||||
−0.835905 | + | 0.548874i | \(0.815057\pi\) | |||||||
\(374\) | −4.95424 | −0.256178 | ||||||||
\(375\) | −13.1681 | + | 13.1681i | −0.679997 | + | 0.679997i | ||||
\(376\) | −3.50767 | + | 6.07547i | −0.180894 | + | 0.313318i | ||||
\(377\) | −15.3319 | − | 11.5924i | −0.789631 | − | 0.597040i | ||||
\(378\) | 7.50039 | + | 1.49804i | 0.385778 | + | 0.0770507i | ||||
\(379\) | 13.3271 | − | 3.57099i | 0.684568 | − | 0.183430i | 0.100260 | − | 0.994961i | \(-0.468033\pi\) |
0.584308 | + | 0.811532i | \(0.301366\pi\) | |||||||
\(380\) | 3.77737 | + | 6.54260i | 0.193775 | + | 0.335628i | ||||
\(381\) | −6.88463 | + | 11.9245i | −0.352710 | + | 0.610912i | ||||
\(382\) | −7.51589 | + | 28.0497i | −0.384547 | + | 1.43515i | ||||
\(383\) | −11.8936 | + | 11.8936i | −0.607736 | + | 0.607736i | −0.942354 | − | 0.334618i | \(-0.891393\pi\) |
0.334618 | + | 0.942354i | \(0.391393\pi\) | |||||||
\(384\) | 3.39695 | − | 12.6776i | 0.173350 | − | 0.646950i | ||||
\(385\) | 8.73345 | + | 4.31538i | 0.445098 | + | 0.219932i | ||||
\(386\) | −7.38992 | − | 12.7997i | −0.376137 | − | 0.651489i | ||||
\(387\) | −1.65967 | + | 0.958214i | −0.0843660 | + | 0.0487087i | ||||
\(388\) | 0.976986 | + | 0.976986i | 0.0495990 | + | 0.0495990i | ||||
\(389\) | −15.4854 | + | 8.94050i | −0.785141 | + | 0.453302i | −0.838249 | − | 0.545287i | \(-0.816421\pi\) |
0.0531079 | + | 0.998589i | \(0.483087\pi\) | |||||||
\(390\) | 25.7141 | + | 3.19963i | 1.30208 | + | 0.162019i | ||||
\(391\) | − | 2.88112i | − | 0.145705i | ||||||
\(392\) | −13.0391 | + | 16.9378i | −0.658575 | + | 0.855490i | ||||
\(393\) | −2.76275 | + | 4.78523i | −0.139363 | + | 0.241383i | ||||
\(394\) | 12.8691i | 0.648337i | ||||||||
\(395\) | 14.0122 | + | 3.75455i | 0.705030 | + | 0.188912i | ||||
\(396\) | 1.23487 | − | 0.330881i | 0.0620543 | − | 0.0166274i | ||||
\(397\) | 4.68972 | + | 4.68972i | 0.235370 | + | 0.235370i | 0.814930 | − | 0.579560i | \(-0.196775\pi\) |
−0.579560 | + | 0.814930i | \(0.696775\pi\) | |||||||
\(398\) | −3.48428 | − | 3.48428i | −0.174651 | − | 0.174651i | ||||
\(399\) | 27.6771 | + | 24.3106i | 1.38559 | + | 1.21705i | ||||
\(400\) | 4.42599 | + | 2.55534i | 0.221299 | + | 0.127767i | ||||
\(401\) | 21.2957 | + | 5.70615i | 1.06345 | + | 0.284952i | 0.747801 | − | 0.663923i | \(-0.231110\pi\) |
0.315653 | + | 0.948875i | \(0.397776\pi\) | |||||||
\(402\) | −18.0245 | − | 31.2194i | −0.898981 | − | 1.55708i | ||||
\(403\) | 9.06965 | − | 22.3438i | 0.451792 | − | 1.11302i | ||||
\(404\) | 2.12757 | + | 1.22835i | 0.105850 | + | 0.0611127i | ||||
\(405\) | 7.44835 | + | 27.7976i | 0.370112 | + | 1.38128i | ||||
\(406\) | −13.1358 | − | 11.5380i | −0.651919 | − | 0.572622i | ||||
\(407\) | −11.2663 | + | 6.50460i | −0.558450 | + | 0.322421i | ||||
\(408\) | 18.5631 | − | 4.97396i | 0.919009 | − | 0.246248i | ||||
\(409\) | 4.28429 | + | 15.9892i | 0.211844 | + | 0.790614i | 0.987254 | + | 0.159155i | \(0.0508770\pi\) |
−0.775409 | + | 0.631459i | \(0.782456\pi\) | |||||||
\(410\) | 8.13649 | + | 30.3658i | 0.401833 | + | 1.49966i | ||||
\(411\) | 28.2958 | − | 7.58185i | 1.39573 | − | 0.373985i | ||||
\(412\) | 1.93433 | − | 1.11679i | 0.0952975 | − | 0.0550201i | ||||
\(413\) | −19.1166 | + | 6.47249i | −0.940665 | + | 0.318490i | ||||
\(414\) | −0.637987 | − | 2.38100i | −0.0313553 | − | 0.117020i | ||||
\(415\) | −1.42124 | − | 0.820553i | −0.0697659 | − | 0.0402793i | ||||
\(416\) | −1.27182 | − | 9.15718i | −0.0623560 | − | 0.448968i | ||||
\(417\) | 19.6898 | + | 34.1037i | 0.964214 | + | 1.67007i | ||||
\(418\) | 10.5871 | + | 2.83680i | 0.517831 | + | 0.138752i | ||||
\(419\) | 23.3376 | + | 13.4740i | 1.14012 | + | 0.658247i | 0.946460 | − | 0.322822i | \(-0.104631\pi\) |
0.193658 | + | 0.981069i | \(0.437965\pi\) | |||||||
\(420\) | −6.97124 | − | 1.39235i | −0.340162 | − | 0.0679397i | ||||
\(421\) | 11.8511 | + | 11.8511i | 0.577587 | + | 0.577587i | 0.934238 | − | 0.356651i | \(-0.116081\pi\) |
−0.356651 | + | 0.934238i | \(0.616081\pi\) | |||||||
\(422\) | 4.34172 | + | 4.34172i | 0.211352 | + | 0.211352i | ||||
\(423\) | −4.33166 | + | 1.16066i | −0.210613 | + | 0.0564335i | ||||
\(424\) | 14.9236 | + | 3.99877i | 0.724755 | + | 0.194197i | ||||
\(425\) | 5.05667i | 0.245285i | ||||||||
\(426\) | 15.8492 | − | 27.4517i | 0.767898 | − | 1.33004i | ||||
\(427\) | −1.33302 | − | 20.5853i | −0.0645093 | − | 0.996191i | ||||
\(428\) | − | 0.823732i | − | 0.0398166i | ||||||
\(429\) | −8.94636 | + | 6.96633i | −0.431934 | + | 0.336338i | ||||
\(430\) | 2.74593 | − | 1.58537i | 0.132421 | − | 0.0764531i | ||||
\(431\) | 4.39788 | + | 4.39788i | 0.211838 | + | 0.211838i | 0.805048 | − | 0.593210i | \(-0.202139\pi\) |
−0.593210 | + | 0.805048i | \(0.702139\pi\) | |||||||
\(432\) | −5.77296 | + | 3.33302i | −0.277752 | + | 0.160360i | ||||
\(433\) | −5.55807 | − | 9.62686i | −0.267104 | − | 0.462637i | 0.701009 | − | 0.713153i | \(-0.252733\pi\) |
−0.968113 | + | 0.250515i | \(0.919400\pi\) | |||||||
\(434\) | 9.71681 | − | 19.6649i | 0.466422 | − | 0.943943i | ||||
\(435\) | 7.99951 | − | 29.8546i | 0.383547 | − | 1.43142i | ||||
\(436\) | 3.26812 | − | 3.26812i | 0.156515 | − | 0.156515i | ||||
\(437\) | −1.64973 | + | 6.15688i | −0.0789174 | + | 0.294524i | ||||
\(438\) | 12.0451 | − | 20.8627i | 0.575537 | − | 0.996859i | ||||
\(439\) | 10.6327 | + | 18.4163i | 0.507470 | + | 0.878964i | 0.999963 | + | 0.00864699i | \(0.00275246\pi\) |
−0.492493 | + | 0.870317i | \(0.663914\pi\) | |||||||
\(440\) | −10.8601 | + | 2.90996i | −0.517736 | + | 0.138727i | ||||
\(441\) | −13.5498 | + | 1.76225i | −0.645230 | + | 0.0839169i | ||||
\(442\) | −9.97303 | + | 7.76577i | −0.474369 | + | 0.369380i | ||||
\(443\) | −3.28510 | + | 5.68996i | −0.156080 | + | 0.270338i | −0.933452 | − | 0.358703i | \(-0.883219\pi\) |
0.777372 | + | 0.629041i | \(0.216552\pi\) | |||||||
\(444\) | 6.71300 | − | 6.71300i | 0.318585 | − | 0.318585i | ||||
\(445\) | 0.398906 | 0.0189099 | ||||||||
\(446\) | 21.9217 | 1.03802 | ||||||||
\(447\) | −26.3343 | + | 26.3343i | −1.24557 | + | 1.24557i | ||||
\(448\) | −1.52080 | − | 23.4851i | −0.0718510 | − | 1.10957i | ||||
\(449\) | −19.7570 | − | 5.29388i | −0.932392 | − | 0.249834i | −0.239518 | − | 0.970892i | \(-0.576989\pi\) |
−0.692874 | + | 0.721058i | \(0.743656\pi\) | |||||||
\(450\) | 1.11973 | + | 4.17890i | 0.0527847 | + | 0.196995i | ||||
\(451\) | −11.9132 | − | 6.87811i | −0.560972 | − | 0.323877i | ||||
\(452\) | 7.65687i | 0.360149i | ||||||||
\(453\) | 5.06825 | − | 18.9150i | 0.238127 | − | 0.888702i | ||||
\(454\) | −18.7981 | −0.882241 | ||||||||
\(455\) | 24.3450 | − | 5.00270i | 1.14131 | − | 0.234530i | ||||
\(456\) | −42.5169 | −1.99103 | ||||||||
\(457\) | 0.185294 | − | 0.691526i | 0.00866768 | − | 0.0323482i | −0.961457 | − | 0.274957i | \(-0.911336\pi\) |
0.970124 | + | 0.242609i | \(0.0780031\pi\) | |||||||
\(458\) | 18.5759i | 0.867995i | ||||||||
\(459\) | −5.71195 | − | 3.29779i | −0.266611 | − | 0.153928i | ||||
\(460\) | −0.318364 | − | 1.18815i | −0.0148438 | − | 0.0553978i | ||||
\(461\) | −18.7893 | − | 5.03457i | −0.875104 | − | 0.234484i | −0.206811 | − | 0.978381i | \(-0.566308\pi\) |
−0.668294 | + | 0.743897i | \(0.732975\pi\) | |||||||
\(462\) | −8.58007 | + | 5.72329i | −0.399181 | + | 0.266272i | ||||
\(463\) | 23.8616 | − | 23.8616i | 1.10894 | − | 1.10894i | 0.115653 | − | 0.993290i | \(-0.463104\pi\) |
0.993290 | − | 0.115653i | \(-0.0368962\pi\) | |||||||
\(464\) | 15.2377 | 0.707394 | ||||||||
\(465\) | 38.7762 | 1.79820 | ||||||||
\(466\) | 5.44556 | − | 5.44556i | 0.252261 | − | 0.252261i | ||||
\(467\) | 2.96432 | − | 5.13436i | 0.137173 | − | 0.237590i | −0.789253 | − | 0.614068i | \(-0.789532\pi\) |
0.926425 | + | 0.376479i | \(0.122865\pi\) | |||||||
\(468\) | 1.96716 | − | 2.60172i | 0.0909321 | − | 0.120265i | ||||
\(469\) | −25.9779 | − | 22.8181i | −1.19955 | − | 1.05364i | ||||
\(470\) | 7.16674 | − | 1.92032i | 0.330577 | − | 0.0885778i | ||||
\(471\) | −5.63832 | − | 9.76586i | −0.259800 | − | 0.449987i | ||||
\(472\) | 11.6470 | − | 20.1732i | 0.536097 | − | 0.928547i | ||||
\(473\) | −0.359099 | + | 1.34017i | −0.0165114 | + | 0.0616213i | ||||
\(474\) | −10.8603 | + | 10.8603i | −0.498829 | + | 0.498829i | ||||
\(475\) | 2.89545 | − | 10.8060i | 0.132852 | − | 0.495812i | ||||
\(476\) | 2.88480 | − | 1.92429i | 0.132225 | − | 0.0881999i | ||||
\(477\) | 4.93812 | + | 8.55307i | 0.226101 | + | 0.391618i | ||||
\(478\) | 21.5307 | − | 12.4308i | 0.984791 | − | 0.568569i | ||||
\(479\) | −15.7982 | − | 15.7982i | −0.721839 | − | 0.721839i | 0.247141 | − | 0.968980i | \(-0.420509\pi\) |
−0.968980 | + | 0.247141i | \(0.920509\pi\) | |||||||
\(480\) | 12.8745 | − | 7.43309i | 0.587637 | − | 0.339273i | ||||
\(481\) | −12.4834 | + | 30.7539i | −0.569195 | + | 1.40226i | ||||
\(482\) | 1.42397i | 0.0648599i | ||||||||
\(483\) | −3.32836 | − | 4.98971i | −0.151446 | − | 0.227040i | ||||
\(484\) | −2.08615 | + | 3.61332i | −0.0948249 | + | 0.164242i | ||||
\(485\) | − | 7.76747i | − | 0.352703i | ||||||
\(486\) | −21.0537 | − | 5.64132i | −0.955014 | − | 0.255895i | ||||
\(487\) | 5.19013 | − | 1.39069i | 0.235187 | − | 0.0630182i | −0.139300 | − | 0.990250i | \(-0.544485\pi\) |
0.374488 | + | 0.927232i | \(0.377819\pi\) | |||||||
\(488\) | 16.8352 | + | 16.8352i | 0.762093 | + | 0.762093i | ||||
\(489\) | 3.95288 | + | 3.95288i | 0.178756 | + | 0.178756i | ||||
\(490\) | 22.4182 | − | 2.91565i | 1.01275 | − | 0.131716i | ||||
\(491\) | 8.53958 | + | 4.93033i | 0.385386 | + | 0.222503i | 0.680159 | − | 0.733065i | \(-0.261911\pi\) |
−0.294773 | + | 0.955567i | \(0.595244\pi\) | |||||||
\(492\) | 9.69670 | + | 2.59822i | 0.437161 | + | 0.117137i | ||||
\(493\) | 7.53834 | + | 13.0568i | 0.339510 | + | 0.588048i | ||||
\(494\) | 25.7588 | − | 10.8847i | 1.15894 | − | 0.489725i | ||||
\(495\) | −6.22419 | − | 3.59354i | −0.279757 | − | 0.161518i | ||||
\(496\) | 4.94783 | + | 18.4655i | 0.222164 | + | 0.829128i | ||||
\(497\) | 5.95480 | − | 29.8146i | 0.267109 | − | 1.33737i | ||||
\(498\) | 1.50474 | − | 0.868761i | 0.0674289 | − | 0.0389301i | ||||
\(499\) | 0.269775 | − | 0.0722859i | 0.0120768 | − | 0.00323596i | −0.252776 | − | 0.967525i | \(-0.581343\pi\) |
0.264852 | + | 0.964289i | \(0.414677\pi\) | |||||||
\(500\) | −1.00378 | − | 3.74615i | −0.0448903 | − | 0.167533i | ||||
\(501\) | −1.53748 | − | 5.73794i | −0.0686894 | − | 0.256352i | ||||
\(502\) | −34.3346 | + | 9.19994i | −1.53243 | + | 0.410613i | ||||
\(503\) | −14.3969 | + | 8.31203i | −0.641924 | + | 0.370615i | −0.785355 | − | 0.619045i | \(-0.787520\pi\) |
0.143431 | + | 0.989660i | \(0.454186\pi\) | |||||||
\(504\) | 10.4075 | − | 11.8487i | 0.463586 | − | 0.527783i | ||||
\(505\) | −3.57458 | − | 13.3405i | −0.159067 | − | 0.593645i | ||||
\(506\) | −1.54551 | − | 0.892300i | −0.0687062 | − | 0.0396676i | ||||
\(507\) | −7.08956 | + | 28.0468i | −0.314858 | + | 1.24560i | ||||
\(508\) | −1.43379 | − | 2.48339i | −0.0636140 | − | 0.110183i | ||||
\(509\) | −38.9736 | − | 10.4429i | −1.72748 | − | 0.462876i | −0.747876 | − | 0.663838i | \(-0.768926\pi\) |
−0.979599 | + | 0.200963i | \(0.935593\pi\) | |||||||
\(510\) | −17.6021 | − | 10.1626i | −0.779435 | − | 0.450007i | ||||
\(511\) | 4.52553 | − | 22.6585i | 0.200197 | − | 1.00235i | ||||
\(512\) | 17.5262 | + | 17.5262i | 0.774556 | + | 0.774556i | ||||
\(513\) | 10.3180 | + | 10.3180i | 0.455549 | + | 0.455549i | ||||
\(514\) | 23.4913 | − | 6.29447i | 1.03616 | − | 0.277637i | ||||
\(515\) | −12.1289 | − | 3.24992i | −0.534461 | − | 0.143208i | ||||
\(516\) | − | 1.01251i | − | 0.0445732i | ||||||
\(517\) | −1.62333 | + | 2.81168i | −0.0713938 | + | 0.123658i | ||||
\(518\) | −13.3742 | + | 27.0666i | −0.587627 | + | 1.18924i | ||||
\(519\) | − | 3.43128i | − | 0.150617i | ||||||
\(520\) | −17.3004 | + | 22.8811i | −0.758671 | + | 1.00340i | ||||
\(521\) | −15.9440 | + | 9.20528i | −0.698520 | + | 0.403291i | −0.806796 | − | 0.590830i | \(-0.798800\pi\) |
0.108276 | + | 0.994121i | \(0.465467\pi\) | |||||||
\(522\) | 9.12104 | + | 9.12104i | 0.399217 | + | 0.399217i | ||||
\(523\) | 10.8259 | − | 6.25034i | 0.473384 | − | 0.273308i | −0.244271 | − | 0.969707i | \(-0.578549\pi\) |
0.717655 | + | 0.696398i | \(0.245215\pi\) | |||||||
\(524\) | −0.575369 | − | 0.996569i | −0.0251351 | − | 0.0435353i | ||||
\(525\) | 5.84162 | + | 8.75746i | 0.254949 | + | 0.382207i | ||||
\(526\) | −2.59448 | + | 9.68274i | −0.113125 | + | 0.422187i | ||||
\(527\) | −13.3748 | + | 13.3748i | −0.582617 | + | 0.582617i | ||||
\(528\) | 2.32650 | − | 8.68263i | 0.101248 | − | 0.377863i | ||||
\(529\) | −10.9811 | + | 19.0198i | −0.477439 | + | 0.826948i | ||||
\(530\) | −8.17012 | − | 14.1511i | −0.354887 | − | 0.614683i | ||||
\(531\) | 14.3830 | − | 3.85391i | 0.624169 | − | 0.167246i | ||||
\(532\) | −7.26660 | + | 2.46032i | −0.315047 | + | 0.106669i | ||||
\(533\) | −34.7631 | + | 4.82816i | −1.50576 | + | 0.209131i | ||||
\(534\) | −0.211171 | + | 0.365759i | −0.00913826 | + | 0.0158279i | ||||
\(535\) | −3.27452 | + | 3.27452i | −0.141570 | + | 0.141570i | ||||
\(536\) | 39.9067 | 1.72371 | ||||||||
\(537\) | 39.3333 | 1.69736 | ||||||||
\(538\) | −12.5705 | + | 12.5705i | −0.541954 | + | 0.541954i | ||||
\(539\) | −6.03441 | + | 7.83871i | −0.259920 | + | 0.337637i | ||||
\(540\) | −2.71996 | − | 0.728812i | −0.117049 | − | 0.0313631i | ||||
\(541\) | −0.760452 | − | 2.83805i | −0.0326944 | − | 0.122017i | 0.947650 | − | 0.319311i | \(-0.103451\pi\) |
−0.980344 | + | 0.197294i | \(0.936785\pi\) | |||||||
\(542\) | −28.0651 | − | 16.2034i | −1.20550 | − | 0.695996i | ||||
\(543\) | 2.01513i | 0.0864773i | ||||||||
\(544\) | −1.87687 | + | 7.00458i | −0.0804702 | + | 0.300319i | ||||
\(545\) | −25.9830 | −1.11299 | ||||||||
\(546\) | −8.30066 | + | 24.9704i | −0.355236 | + | 1.06863i | ||||
\(547\) | 30.4775 | 1.30312 | 0.651561 | − | 0.758596i | \(-0.274114\pi\) | ||||
0.651561 | + | 0.758596i | \(0.274114\pi\) | |||||||
\(548\) | −1.57899 | + | 5.89287i | −0.0674511 | + | 0.251731i | ||||
\(549\) | 15.2193i | 0.649544i | ||||||||
\(550\) | 2.71253 | + | 1.56608i | 0.115663 | + | 0.0667778i | ||||
\(551\) | −8.63291 | − | 32.2185i | −0.367774 | − | 1.37255i | ||||
\(552\) | 6.68672 | + | 1.79170i | 0.284606 | + | 0.0762599i | ||||
\(553\) | −6.52584 | + | 13.2070i | −0.277507 | + | 0.561618i | ||||
\(554\) | 5.14372 | − | 5.14372i | 0.218536 | − | 0.218536i | ||||
\(555\) | −53.3713 | −2.26549 | ||||||||
\(556\) | −8.20117 | −0.347807 | ||||||||
\(557\) | 1.50088 | − | 1.50088i | 0.0635944 | − | 0.0635944i | −0.674594 | − | 0.738189i | \(-0.735681\pi\) |
0.738189 | + | 0.674594i | \(0.235681\pi\) | |||||||
\(558\) | −8.09147 | + | 14.0148i | −0.342539 | + | 0.593295i | ||||
\(559\) | 1.37785 | + | 3.26069i | 0.0582767 | + | 0.137913i | ||||
\(560\) | −13.0027 | + | 14.8034i | −0.549466 | + | 0.625556i | ||||
\(561\) | 8.59086 | − | 2.30191i | 0.362706 | − | 0.0971868i | ||||
\(562\) | 14.3832 | + | 24.9125i | 0.606721 | + | 1.05087i | ||||
\(563\) | −1.26733 | + | 2.19508i | −0.0534115 | + | 0.0925114i | −0.891495 | − | 0.453031i | \(-0.850343\pi\) |
0.838083 | + | 0.545542i | \(0.183676\pi\) | |||||||
\(564\) | 0.613215 | − | 2.28855i | 0.0258210 | − | 0.0963653i | ||||
\(565\) | 30.4377 | − | 30.4377i | 1.28053 | − | 1.28053i | ||||
\(566\) | 7.18516 | − | 26.8154i | 0.302015 | − | 1.12714i | ||||
\(567\) | −29.1631 | + | 1.88848i | −1.22474 | + | 0.0793089i | ||||
\(568\) | 17.5453 | + | 30.3893i | 0.736184 | + | 1.27511i | ||||
\(569\) | 30.3713 | − | 17.5349i | 1.27323 | − | 0.735099i | 0.297635 | − | 0.954680i | \(-0.403802\pi\) |
0.975594 | + | 0.219581i | \(0.0704689\pi\) | |||||||
\(570\) | 31.7962 | + | 31.7962i | 1.33179 | + | 1.33179i | ||||
\(571\) | −25.0216 | + | 14.4462i | −1.04712 | + | 0.604556i | −0.921842 | − | 0.387566i | \(-0.873316\pi\) |
−0.125279 | + | 0.992122i | \(0.539983\pi\) | |||||||
\(572\) | −0.324851 | − | 2.33895i | −0.0135827 | − | 0.0977963i | ||||
\(573\) | − | 52.1314i | − | 2.17782i | ||||||
\(574\) | −31.8574 | + | 2.06296i | −1.32970 | + | 0.0861062i | ||||
\(575\) | −0.910748 | + | 1.57746i | −0.0379808 | + | 0.0657847i | ||||
\(576\) | 17.3632i | 0.723467i | ||||||||
\(577\) | −14.9572 | − | 4.00778i | −0.622678 | − | 0.166846i | −0.0663329 | − | 0.997798i | \(-0.521130\pi\) |
−0.556345 | + | 0.830952i | \(0.687797\pi\) | |||||||
\(578\) | −10.7781 | + | 2.88798i | −0.448310 | + | 0.120124i | ||||
\(579\) | 18.7616 | + | 18.7616i | 0.779706 | + | 0.779706i | ||||
\(580\) | 4.55152 | + | 4.55152i | 0.188992 | + | 0.188992i | ||||
\(581\) | 1.09981 | − | 1.25211i | 0.0456276 | − | 0.0519461i | ||||
\(582\) | 7.12204 | + | 4.11191i | 0.295218 | + | 0.170444i | ||||
\(583\) | 6.90654 | + | 1.85060i | 0.286040 | + | 0.0766441i | ||||
\(584\) | 13.3341 | + | 23.0953i | 0.551767 | + | 0.955689i | ||||
\(585\) | −18.1623 | + | 2.52252i | −0.750920 | + | 0.104293i | ||||
\(586\) | −5.06517 | − | 2.92438i | −0.209240 | − | 0.120805i | ||||
\(587\) | −3.18544 | − | 11.8882i | −0.131477 | − | 0.490679i | 0.868511 | − | 0.495671i | \(-0.165078\pi\) |
−0.999988 | + | 0.00499189i | \(0.998411\pi\) | |||||||
\(588\) | 2.77308 | − | 6.66523i | 0.114360 | − | 0.274869i | ||||
\(589\) | 36.2401 | − | 20.9232i | 1.49325 | − | 0.862127i | ||||
\(590\) | −23.7967 | + | 6.37631i | −0.979694 | + | 0.262508i | ||||
\(591\) | −5.97944 | − | 22.3156i | −0.245961 | − | 0.917940i | ||||
\(592\) | −6.81016 | − | 25.4159i | −0.279896 | − | 1.04459i | ||||
\(593\) | −32.9656 | + | 8.83310i | −1.35373 | + | 0.362732i | −0.861512 | − | 0.507738i | \(-0.830482\pi\) |
−0.492222 | + | 0.870470i | \(0.663815\pi\) | |||||||
\(594\) | −3.53804 | + | 2.04269i | −0.145168 | + | 0.0838125i | ||||
\(595\) | −19.1172 | − | 3.81824i | −0.783730 | − | 0.156533i | ||||
\(596\) | −2.00741 | − | 7.49177i | −0.0822268 | − | 0.306875i | ||||
\(597\) | 7.66081 | + | 4.42297i | 0.313536 | + | 0.181020i | ||||
\(598\) | −4.50983 | + | 0.626359i | −0.184421 | + | 0.0256137i | ||||
\(599\) | −5.99292 | − | 10.3800i | −0.244864 | − | 0.424117i | 0.717229 | − | 0.696837i | \(-0.245410\pi\) |
−0.962093 | + | 0.272720i | \(0.912077\pi\) | |||||||
\(600\) | −11.7359 | − | 3.14462i | −0.479116 | − | 0.128379i | ||||
\(601\) | −17.2242 | − | 9.94437i | −0.702588 | − | 0.405639i | 0.105723 | − | 0.994396i | \(-0.466284\pi\) |
−0.808311 | + | 0.588756i | \(0.799618\pi\) | |||||||
\(602\) | 1.03260 | + | 3.04980i | 0.0420856 | + | 0.124300i | ||||
\(603\) | 18.0382 | + | 18.0382i | 0.734570 | + | 0.734570i | ||||
\(604\) | 2.88371 | + | 2.88371i | 0.117336 | + | 0.117336i | ||||
\(605\) | 22.6566 | − | 6.07083i | 0.921123 | − | 0.246814i | ||||
\(606\) | 14.1243 | + | 3.78459i | 0.573760 | + | 0.153739i | ||||
\(607\) | − | 9.17039i | − | 0.372214i | −0.982529 | − | 0.186107i | \(-0.940413\pi\) | ||
0.982529 | − | 0.186107i | \(-0.0595872\pi\) | |||||||
\(608\) | 8.02164 | − | 13.8939i | 0.325321 | − | 0.563472i | ||||
\(609\) | 28.1390 | + | 13.9040i | 1.14025 | + | 0.563420i | ||||
\(610\) | − | 25.1803i | − | 1.01952i | ||||||
\(611\) | 1.13951 | + | 8.20456i | 0.0460997 | + | 0.331921i | ||||
\(612\) | −2.21566 | + | 1.27921i | −0.0895626 | + | 0.0517090i | ||||
\(613\) | 13.4460 | + | 13.4460i | 0.543078 | + | 0.543078i | 0.924430 | − | 0.381352i | \(-0.124541\pi\) |
−0.381352 | + | 0.924430i | \(0.624541\pi\) | |||||||
\(614\) | 5.73834 | − | 3.31303i | 0.231580 | − | 0.133703i | ||||
\(615\) | −28.2180 | − | 48.8750i | −1.13786 | − | 1.97083i | ||||
\(616\) | −0.737802 | − | 11.3936i | −0.0297269 | − | 0.459061i | ||||
\(617\) | 6.74741 | − | 25.1817i | 0.271641 | − | 1.01378i | −0.686419 | − | 0.727207i | \(-0.740818\pi\) |
0.958059 | − | 0.286570i | \(-0.0925151\pi\) | |||||||
\(618\) | 9.40059 | − | 9.40059i | 0.378147 | − | 0.378147i | ||||
\(619\) | −0.397756 | + | 1.48444i | −0.0159872 | + | 0.0596649i | −0.973459 | − | 0.228863i | \(-0.926499\pi\) |
0.957471 | + | 0.288528i | \(0.0931658\pi\) | |||||||
\(620\) | −4.03775 | + | 6.99359i | −0.162160 | + | 0.280869i | ||||
\(621\) | −1.18792 | − | 2.05754i | −0.0476695 | − | 0.0825661i | ||||
\(622\) | 3.03362 | − | 0.812855i | 0.121637 | − | 0.0325925i | ||||
\(623\) | −0.0793402 | + | 0.397242i | −0.00317870 | + | 0.0159152i | ||||
\(624\) | −8.92670 | − | 21.1252i | −0.357354 | − | 0.845683i | ||||
\(625\) | −15.3715 | + | 26.6243i | −0.614861 | + | 1.06497i | ||||
\(626\) | −4.67630 | + | 4.67630i | −0.186903 | + | 0.186903i | ||||
\(627\) | −19.6765 | −0.785804 | ||||||||
\(628\) | 2.34846 | 0.0937139 | ||||||||
\(629\) | 18.4091 | − | 18.4091i | 0.734017 | − | 0.734017i | ||||
\(630\) | −16.6442 | + | 1.07781i | −0.663122 | + | 0.0429411i | ||||
\(631\) | 5.46012 | + | 1.46304i | 0.217364 | + | 0.0582425i | 0.365858 | − | 0.930671i | \(-0.380776\pi\) |
−0.148493 | + | 0.988913i | \(0.547442\pi\) | |||||||
\(632\) | −4.40053 | − | 16.4230i | −0.175043 | − | 0.653271i | ||||
\(633\) | −9.54603 | − | 5.51141i | −0.379421 | − | 0.219059i | ||||
\(634\) | 15.7195i | 0.624300i | ||||||||
\(635\) | −4.17241 | + | 15.5717i | −0.165577 | + | 0.617942i | ||||
\(636\) | −5.21792 | −0.206904 | ||||||||
\(637\) | 0.139735 | + | 25.2385i | 0.00553650 | + | 0.999985i | ||||
\(638\) | 9.33866 | 0.369721 | ||||||||
\(639\) | −5.80562 | + | 21.6669i | −0.229667 | + | 0.857128i | ||||
\(640\) | − | 15.3664i | − | 0.607411i | ||||||
\(641\) | 1.88634 | + | 1.08908i | 0.0745060 | + | 0.0430160i | 0.536790 | − | 0.843716i | \(-0.319637\pi\) |
−0.462284 | + | 0.886732i | \(0.652970\pi\) | |||||||
\(642\) | −1.26897 | − | 4.73587i | −0.0500824 | − | 0.186910i | ||||
\(643\) | 23.5550 | + | 6.31154i | 0.928918 | + | 0.248903i | 0.691393 | − | 0.722479i | \(-0.256997\pi\) |
0.237525 | + | 0.971381i | \(0.423664\pi\) | |||||||
\(644\) | 1.24651 | − | 0.0807192i | 0.0491196 | − | 0.00318078i | ||||
\(645\) | −4.02494 | + | 4.02494i | −0.158482 | + | 0.158482i | ||||
\(646\) | −21.9345 | −0.863003 | ||||||||
\(647\) | 25.7027 | 1.01048 | 0.505239 | − | 0.862979i | \(-0.331404\pi\) | ||||
0.505239 | + | 0.862979i | \(0.331404\pi\) | |||||||
\(648\) | 23.8504 | − | 23.8504i | 0.936931 | − | 0.936931i | ||||
\(649\) | 5.39015 | − | 9.33602i | 0.211582 | − | 0.366471i | ||||
\(650\) | 7.91522 | − | 1.09932i | 0.310460 | − | 0.0431191i | ||||
\(651\) | −7.71237 | + | 38.6144i | −0.302272 | + | 1.51342i | ||||
\(652\) | −1.12455 | + | 0.301321i | −0.0440406 | + | 0.0118006i | ||||
\(653\) | −6.14492 | − | 10.6433i | −0.240469 | − | 0.416505i | 0.720379 | − | 0.693581i | \(-0.243968\pi\) |
−0.960848 | + | 0.277076i | \(0.910635\pi\) | |||||||
\(654\) | 13.7548 | − | 23.8240i | 0.537855 | − | 0.931592i | ||||
\(655\) | −1.67436 | + | 6.24880i | −0.0654227 | + | 0.244161i | ||||
\(656\) | 19.6741 | − | 19.6741i | 0.768144 | − | 0.768144i | ||||
\(657\) | −4.41215 | + | 16.4664i | −0.172134 | + | 0.642414i | ||||
\(658\) | 0.486886 | + | 7.51878i | 0.0189808 | + | 0.293113i | ||||
\(659\) | −22.5477 | − | 39.0538i | −0.878336 | − | 1.52132i | −0.853167 | − | 0.521639i | \(-0.825321\pi\) |
−0.0251690 | − | 0.999683i | \(-0.508012\pi\) | |||||||
\(660\) | 3.28843 | − | 1.89858i | 0.128002 | − | 0.0739020i | ||||
\(661\) | 10.6687 | + | 10.6687i | 0.414964 | + | 0.414964i | 0.883464 | − | 0.468500i | \(-0.155205\pi\) |
−0.468500 | + | 0.883464i | \(0.655205\pi\) | |||||||
\(662\) | −9.60929 | + | 5.54792i | −0.373475 | + | 0.215626i | ||||
\(663\) | 13.6854 | − | 18.1000i | 0.531496 | − | 0.702945i | ||||
\(664\) | 1.92346i | 0.0746446i | ||||||||
\(665\) | 38.6667 | + | 19.1060i | 1.49943 | + | 0.740899i | ||||
\(666\) | 11.1371 | − | 19.2899i | 0.431552 | − | 0.747470i | ||||
\(667\) | 5.43087i | 0.210284i | ||||||||
\(668\) | 1.19498 | + | 0.320194i | 0.0462351 | + | 0.0123887i | ||||
\(669\) | −38.0131 | + | 10.1856i | −1.46967 | + | 0.393798i | ||||
\(670\) | −29.8441 | − | 29.8441i | −1.15298 | − | 1.15298i | ||||
\(671\) | 7.79121 | + | 7.79121i | 0.300776 | + | 0.300776i | ||||
\(672\) | 4.84142 | + | 14.2992i | 0.186762 | + | 0.551603i | ||||
\(673\) | 10.7821 | + | 6.22503i | 0.415618 | + | 0.239957i | 0.693201 | − | 0.720744i | \(-0.256200\pi\) |
−0.277582 | + | 0.960702i | \(0.589533\pi\) | |||||||
\(674\) | −10.0376 | − | 2.68957i | −0.386634 | − | 0.103598i | ||||
\(675\) | 2.08492 | + | 3.61119i | 0.0802487 | + | 0.138995i | ||||
\(676\) | −4.32023 | − | 4.19916i | −0.166163 | − | 0.161506i | ||||
\(677\) | 32.6889 | + | 18.8729i | 1.25634 | + | 0.725346i | 0.972360 | − | 0.233485i | \(-0.0750130\pi\) |
0.283976 | + | 0.958831i | \(0.408346\pi\) | |||||||
\(678\) | 11.7955 | + | 44.0215i | 0.453005 | + | 1.69064i | ||||
\(679\) | 7.73507 | + | 1.54491i | 0.296845 | + | 0.0592881i | ||||
\(680\) | 19.4858 | − | 11.2501i | 0.747245 | − | 0.431422i | ||||
\(681\) | 32.5967 | − | 8.73427i | 1.24911 | − | 0.334698i | ||||
\(682\) | 3.03235 | + | 11.3169i | 0.116115 | + | 0.433345i | ||||
\(683\) | −4.66687 | − | 17.4170i | −0.178573 | − | 0.666443i | −0.995915 | − | 0.0902909i | \(-0.971220\pi\) |
0.817343 | − | 0.576152i | \(-0.195446\pi\) | |||||||
\(684\) | 5.46727 | − | 1.46495i | 0.209046 | − | 0.0560138i | ||||
\(685\) | 29.7023 | − | 17.1486i | 1.13487 | − | 0.655216i | ||||
\(686\) | −1.55537 | + | 22.9046i | −0.0593844 | + | 0.874502i | ||||
\(687\) | −8.63101 | − | 32.2114i | −0.329294 | − | 1.22894i | ||||
\(688\) | −2.43029 | − | 1.40313i | −0.0926541 | − | 0.0534938i | ||||
\(689\) | 16.8039 | − | 7.10068i | 0.640177 | − | 0.270514i | ||||
\(690\) | −3.66073 | − | 6.34057i | −0.139362 | − | 0.241382i | ||||
\(691\) | −18.1055 | − | 4.85136i | −0.688767 | − | 0.184555i | −0.102573 | − | 0.994725i | \(-0.532708\pi\) |
−0.586194 | + | 0.810171i | \(0.699374\pi\) | |||||||
\(692\) | 0.618858 | + | 0.357298i | 0.0235255 | + | 0.0135824i | ||||
\(693\) | 4.81650 | − | 5.48349i | 0.182964 | − | 0.208301i | ||||
\(694\) | 24.1712 | + | 24.1712i | 0.917525 | + | 0.917525i | ||||
\(695\) | 32.6015 | + | 32.6015i | 1.23664 | + | 1.23664i | ||||
\(696\) | −34.9910 | + | 9.37582i | −1.32633 | + | 0.355390i | ||||
\(697\) | 26.5912 | + | 7.12510i | 1.00722 | + | 0.269883i | ||||
\(698\) | 43.9940i | 1.66520i | ||||||||
\(699\) | −6.91262 | + | 11.9730i | −0.261459 | + | 0.452861i | ||||
\(700\) | −2.18776 | + | 0.141671i | −0.0826896 | + | 0.00535464i | ||||
\(701\) | 12.1851i | 0.460223i | 0.973164 | + | 0.230112i | \(0.0739092\pi\) | ||||
−0.973164 | + | 0.230112i | \(0.926091\pi\) | |||||||
\(702\) | −3.92026 | + | 9.65786i | −0.147961 | + | 0.364513i | ||||
\(703\) | −49.8807 | + | 28.7986i | −1.88129 | + | 1.08616i | ||||
\(704\) | 8.88874 | + | 8.88874i | 0.335007 | + | 0.335007i | ||||
\(705\) | −11.5352 | + | 6.65983i | −0.434439 | + | 0.250824i | ||||
\(706\) | −4.50170 | − | 7.79717i | −0.169424 | − | 0.293450i | ||||
\(707\) | 13.9958 | − | 0.906313i | 0.526367 | − | 0.0340854i | ||||
\(708\) | −2.03614 | + | 7.59899i | −0.0765229 | + | 0.285587i | ||||
\(709\) | −1.09697 | + | 1.09697i | −0.0411975 | + | 0.0411975i | −0.727405 | − | 0.686208i | \(-0.759274\pi\) |
0.686208 | + | 0.727405i | \(0.259274\pi\) | |||||||
\(710\) | 9.60540 | − | 35.8478i | 0.360484 | − | 1.34535i | ||||
\(711\) | 5.43425 | − | 9.41240i | 0.203800 | − | 0.352993i | ||||
\(712\) | −0.233769 | − | 0.404899i | −0.00876086 | − | 0.0151742i | ||||
\(713\) | −6.58129 | + | 1.76345i | −0.246471 | + | 0.0660417i | ||||
\(714\) | 13.6212 | − | 15.5074i | 0.509759 | − | 0.580350i | ||||
\(715\) | −8.00648 | + | 10.5892i | −0.299425 | + | 0.396013i | ||||
\(716\) | −4.09576 | + | 7.09406i | −0.153066 | + | 0.265118i | ||||
\(717\) | −31.5593 | + | 31.5593i | −1.17860 | + | 1.17860i | ||||
\(718\) | 19.5139 | 0.728253 | ||||||||
\(719\) | 22.2064 | 0.828160 | 0.414080 | − | 0.910241i | \(-0.364103\pi\) | ||||
0.414080 | + | 0.910241i | \(0.364103\pi\) | |||||||
\(720\) | 10.2789 | − | 10.2789i | 0.383073 | − | 0.383073i | ||||
\(721\) | 5.64872 | − | 11.4319i | 0.210369 | − | 0.425745i | ||||
\(722\) | 24.1240 | + | 6.46400i | 0.897802 | + | 0.240565i | ||||
\(723\) | −0.661624 | − | 2.46922i | −0.0246061 | − | 0.0918311i | ||||
\(724\) | −0.363444 | − | 0.209834i | −0.0135073 | − | 0.00779843i | ||||
\(725\) | − | 9.53173i | − | 0.354000i | ||||||
\(726\) | −6.42750 | + | 23.9877i | −0.238547 | + | 0.890269i | ||||
\(727\) | −20.1830 | −0.748547 | −0.374274 | − | 0.927318i | \(-0.622108\pi\) | ||||
−0.374274 | + | 0.927318i | \(0.622108\pi\) | |||||||
\(728\) | −19.3447 | − | 21.7791i | −0.716961 | − | 0.807187i | ||||
\(729\) | 5.99197 | 0.221925 | ||||||||
\(730\) | 7.29990 | − | 27.2436i | 0.270182 | − | 1.00833i | ||||
\(731\) | − | 2.77660i | − | 0.102696i | ||||||
\(732\) | −6.96356 | − | 4.02041i | −0.257381 | − | 0.148599i | ||||
\(733\) | 0.974815 | + | 3.63806i | 0.0360056 | + | 0.134375i | 0.981589 | − | 0.191005i | \(-0.0611746\pi\) |
−0.945583 | + | 0.325380i | \(0.894508\pi\) | |||||||
\(734\) | 0.387440 | + | 0.103814i | 0.0143007 | + | 0.00383185i | ||||
\(735\) | −37.5194 | + | 15.4721i | −1.38392 | + | 0.570698i | ||||
\(736\) | −1.84708 | + | 1.84708i | −0.0680844 | + | 0.0680844i | ||||
\(737\) | 18.4685 | 0.680297 | ||||||||
\(738\) | 23.5531 | 0.867003 | ||||||||
\(739\) | −12.2856 | + | 12.2856i | −0.451934 | + | 0.451934i | −0.895996 | − | 0.444062i | \(-0.853537\pi\) |
0.444062 | + | 0.895996i | \(0.353537\pi\) | |||||||
\(740\) | 5.55754 | − | 9.62594i | 0.204299 | − | 0.353856i | ||||
\(741\) | −39.6093 | + | 30.8429i | −1.45509 | + | 1.13304i | ||||
\(742\) | 15.7170 | − | 5.32147i | 0.576990 | − | 0.195357i | ||||
\(743\) | 3.38542 | − | 0.907121i | 0.124199 | − | 0.0332790i | −0.196184 | − | 0.980567i | \(-0.562855\pi\) |
0.320383 | + | 0.947288i | \(0.396188\pi\) | |||||||
\(744\) | −22.7238 | − | 39.3588i | −0.833095 | − | 1.44296i | ||||
\(745\) | −21.8015 | + | 37.7613i | −0.798746 | + | 1.38347i | ||||
\(746\) | 10.3589 | − | 38.6598i | 0.379265 | − | 1.41544i | ||||
\(747\) | −0.869419 | + | 0.869419i | −0.0318104 | + | 0.0318104i | ||||
\(748\) | −0.479395 | + | 1.78913i | −0.0175284 | + | 0.0654169i | ||||
\(749\) | −2.60957 | − | 3.91214i | −0.0953517 | − | 0.142946i | ||||
\(750\) | −11.5420 | − | 19.9914i | −0.421455 | − | 0.729982i | ||||
\(751\) | 1.53972 | − | 0.888957i | 0.0561851 | − | 0.0324385i | −0.471644 | − | 0.881789i | \(-0.656339\pi\) |
0.527829 | + | 0.849350i | \(0.323006\pi\) | |||||||
\(752\) | −4.64335 | − | 4.64335i | −0.169326 | − | 0.169326i | ||||
\(753\) | 55.2630 | − | 31.9061i | 2.01390 | − | 1.16272i | ||||
\(754\) | 18.7990 | − | 14.6383i | 0.684618 | − | 0.533097i | ||||
\(755\) | − | 22.9267i | − | 0.834389i | ||||||
\(756\) | 1.26676 | − | 2.56366i | 0.0460715 | − | 0.0932394i | ||||
\(757\) | −24.7027 | + | 42.7863i | −0.897834 | + | 1.55509i | −0.0675762 | + | 0.997714i | \(0.521527\pi\) |
−0.830258 | + | 0.557380i | \(0.811807\pi\) | |||||||
\(758\) | 17.1028i | 0.621202i | ||||||||
\(759\) | 3.09457 | + | 0.829187i | 0.112326 | + | 0.0300976i | ||||
\(760\) | −48.0824 | + | 12.8836i | −1.74413 | + | 0.467338i | ||||
\(761\) | 10.5141 | + | 10.5141i | 0.381134 | + | 0.381134i | 0.871511 | − | 0.490376i | \(-0.163141\pi\) |
−0.490376 | + | 0.871511i | \(0.663141\pi\) | |||||||
\(762\) | −12.0690 | − | 12.0690i | −0.437213 | − | 0.437213i | ||||
\(763\) | 5.16788 | − | 25.8746i | 0.187090 | − | 0.936725i | ||||
\(764\) | 9.40231 | + | 5.42843i | 0.340164 | + | 0.196394i | ||||
\(765\) | 13.8929 | + | 3.72258i | 0.502298 | + | 0.134590i | ||||
\(766\) | −10.4249 | − | 18.0565i | −0.376669 | − | 0.652409i | ||||
\(767\) | −3.78367 | − | 27.2427i | −0.136620 | − | 0.983678i | ||||
\(768\) | −20.1953 | − | 11.6598i | −0.728735 | − | 0.420735i | ||||
\(769\) | −7.72722 | − | 28.8384i | −0.278651 | − | 1.03994i | −0.953355 | − | 0.301850i | \(-0.902396\pi\) |
0.674705 | − | 0.738088i | \(-0.264271\pi\) | |||||||
\(770\) | −7.96891 | + | 9.07244i | −0.287180 | + | 0.326948i | ||||
\(771\) | −37.8102 | + | 21.8297i | −1.36170 | + | 0.786179i | ||||
\(772\) | −5.33745 | + | 1.43016i | −0.192099 | + | 0.0514727i | ||||
\(773\) | 9.59581 | + | 35.8120i | 0.345137 | + | 1.28807i | 0.892452 | + | 0.451142i | \(0.148983\pi\) |
−0.547315 | + | 0.836927i | \(0.684350\pi\) | |||||||
\(774\) | −0.614841 | − | 2.29462i | −0.0221000 | − | 0.0824784i | ||||
\(775\) | 11.5508 | − | 3.09504i | 0.414919 | − | 0.111177i | ||||
\(776\) | −7.88418 | + | 4.55193i | −0.283026 | + | 0.163405i | ||||
\(777\) | 10.6153 | − | 53.1487i | 0.380820 | − | 1.90670i | ||||
\(778\) | −5.73671 | − | 21.4097i | −0.205671 | − | 0.767575i | ||||
\(779\) | −52.7449 | − | 30.4523i | −1.88978 | − | 1.09107i | ||||
\(780\) | 3.64369 | − | 8.97651i | 0.130465 | − | 0.321410i | ||||
\(781\) | 8.11984 | + | 14.0640i | 0.290551 | + | 0.503248i | ||||
\(782\) | 3.44969 | + | 0.924342i | 0.123361 | + | 0.0330544i | ||||
\(783\) | 10.7669 | + | 6.21628i | 0.384778 | + | 0.222152i | ||||
\(784\) | −12.1554 | − | 15.8928i | −0.434122 | − | 0.567600i | ||||
\(785\) | −9.33567 | − | 9.33567i | −0.333204 | − | 0.333204i | ||||
\(786\) | −4.84320 | − | 4.84320i | −0.172751 | − | 0.172751i | ||||
\(787\) | 43.9832 | − | 11.7853i | 1.56783 | − | 0.420099i | 0.632698 | − | 0.774398i | \(-0.281947\pi\) |
0.935132 | + | 0.354299i | \(0.115281\pi\) | |||||||
\(788\) | 4.64743 | + | 1.24527i | 0.165558 | + | 0.0443611i | ||||
\(789\) | − | 17.9957i | − | 0.640665i | ||||||
\(790\) | −8.99097 | + | 15.5728i | −0.319885 | + | 0.554056i | ||||
\(791\) | 24.2569 | + | 36.3647i | 0.862475 | + | 1.29298i | ||||
\(792\) | 8.42361i | 0.299320i | ||||||||
\(793\) | 27.8966 | + | 3.47121i | 0.990638 | + | 0.123266i | ||||
\(794\) | −7.11979 | + | 4.11061i | −0.252672 | + | 0.145880i | ||||
\(795\) | 20.7424 | + | 20.7424i | 0.735657 | + | 0.735657i | ||||
\(796\) | −1.59543 | + | 0.921124i | −0.0565486 | + | 0.0326484i | ||||
\(797\) | 5.85462 | + | 10.1405i | 0.207381 | + | 0.359195i | 0.950889 | − | 0.309533i | \(-0.100173\pi\) |
−0.743507 | + | 0.668728i | \(0.766839\pi\) | |||||||
\(798\) | −37.9876 | + | 25.3394i | −1.34475 | + | 0.897006i | ||||
\(799\) | 1.68162 | − | 6.27589i | 0.0594914 | − | 0.222025i | ||||
\(800\) | 3.24182 | − | 3.24182i | 0.114616 | − | 0.114616i | ||||
\(801\) | 0.0773525 | − | 0.288683i | 0.00273312 | − | 0.0102001i | ||||
\(802\) | −13.6644 | + | 23.6675i | −0.482508 | + | 0.835729i | ||||
\(803\) | 6.17091 | + | 10.6883i | 0.217767 | + | 0.377183i | ||||
\(804\) | −13.0184 | + | 3.48826i | −0.459123 | + | 0.123022i | ||||
\(805\) | −5.27605 | − | 4.63429i | −0.185956 | − | 0.163337i | ||||
\(806\) | 23.8434 | + | 18.0280i | 0.839847 | + | 0.635008i | ||||
\(807\) | 15.9571 | − | 27.6385i | 0.561716 | − | 0.972921i | ||||
\(808\) | −11.4462 | + | 11.4462i | −0.402675 | + | 0.402675i | ||||
\(809\) | −39.7322 | −1.39691 | −0.698456 | − | 0.715653i | \(-0.746129\pi\) | ||||
−0.698456 | + | 0.715653i | \(0.746129\pi\) | |||||||
\(810\) | −35.6729 | −1.25342 | ||||||||
\(811\) | −3.48546 | + | 3.48546i | −0.122391 | + | 0.122391i | −0.765649 | − | 0.643258i | \(-0.777582\pi\) |
0.643258 | + | 0.765649i | \(0.277582\pi\) | |||||||
\(812\) | −5.43780 | + | 3.62726i | −0.190829 | + | 0.127292i | ||||
\(813\) | 56.1947 | + | 15.0573i | 1.97084 | + | 0.528084i | ||||
\(814\) | −4.17370 | − | 15.5765i | −0.146288 | − | 0.545955i | ||||
\(815\) | 5.66814 | + | 3.27250i | 0.198546 | + | 0.114631i | ||||
\(816\) | 17.9888i | 0.629736i | ||||||||
\(817\) | −1.58988 | + | 5.93352i | −0.0556229 | + | 0.207588i | ||||
\(818\) | −20.5190 | −0.717432 | ||||||||
\(819\) | 1.10039 | − | 18.5883i | 0.0384508 | − | 0.649527i | ||||
\(820\) | 11.7533 | 0.410444 | ||||||||
\(821\) | 7.39356 | − | 27.5932i | 0.258037 | − | 0.963008i | −0.708338 | − | 0.705873i | \(-0.750555\pi\) |
0.966376 | − | 0.257135i | \(-0.0827785\pi\) | |||||||
\(822\) | 36.3123i | 1.26654i | ||||||||
\(823\) | −34.2446 | − | 19.7711i | −1.19369 | − | 0.689177i | −0.234549 | − | 0.972104i | \(-0.575361\pi\) |
−0.959141 | + | 0.282927i | \(0.908695\pi\) | |||||||
\(824\) | 3.80906 | + | 14.2156i | 0.132695 | + | 0.495225i | ||||
\(825\) | −5.43129 | − | 1.45531i | −0.189093 | − | 0.0506673i | ||||
\(826\) | −1.61667 | − | 24.9656i | −0.0562512 | − | 0.868665i | ||||
\(827\) | −30.8511 | + | 30.8511i | −1.07280 | + | 1.07280i | −0.0756634 | + | 0.997133i | \(0.524107\pi\) |
−0.997133 | + | 0.0756634i | \(0.975893\pi\) | |||||||
\(828\) | −0.921585 | −0.0320273 | ||||||||
\(829\) | −42.9979 | −1.49338 | −0.746690 | − | 0.665172i | \(-0.768358\pi\) | ||||
−0.746690 | + | 0.665172i | \(0.768358\pi\) | |||||||
\(830\) | 1.43845 | − | 1.43845i | 0.0499295 | − | 0.0499295i | ||||
\(831\) | −6.52947 | + | 11.3094i | −0.226505 | + | 0.392318i | ||||
\(832\) | 31.8264 | + | 3.96019i | 1.10338 | + | 0.137295i | ||||
\(833\) | 7.60463 | − | 18.2781i | 0.263485 | − | 0.633297i | ||||
\(834\) | −47.1509 | + | 12.6340i | −1.63270 | + | 0.437481i | ||||
\(835\) | −3.47747 | − | 6.02315i | −0.120343 | − | 0.208440i | ||||
\(836\) | 2.04891 | − | 3.54881i | 0.0708629 | − | 0.122738i | ||||
\(837\) | −4.03696 | + | 15.0662i | −0.139538 | + | 0.520762i | ||||
\(838\) | −23.6203 | + | 23.6203i | −0.815950 | + | 0.815950i | ||||
\(839\) | −12.0010 | + | 44.7884i | −0.414321 | + | 1.54627i | 0.371872 | + | 0.928284i | \(0.378716\pi\) |
−0.786193 | + | 0.617982i | \(0.787951\pi\) | |||||||
\(840\) | 20.7502 | − | 41.9942i | 0.715950 | − | 1.44894i | ||||
\(841\) | 0.290370 | + | 0.502936i | 0.0100128 | + | 0.0173426i | ||||
\(842\) | −17.9920 | + | 10.3877i | −0.620044 | + | 0.357983i | ||||
\(843\) | −36.5163 | − | 36.5163i | −1.25769 | − | 1.25769i | ||||
\(844\) | 1.98805 | − | 1.14780i | 0.0684315 | − | 0.0395089i | ||||
\(845\) | 0.481272 | + | 33.8665i | 0.0165562 | + | 1.16504i | ||||
\(846\) | − | 5.55885i | − | 0.191117i | ||||||
\(847\) | 1.53922 | + | 23.7696i | 0.0528882 | + | 0.816732i | ||||
\(848\) | −7.23098 | + | 12.5244i | −0.248313 | + | 0.430091i | ||||
\(849\) | 49.8375i | 1.71042i | ||||||||
\(850\) | −6.05457 | − | 1.62232i | −0.207670 | − | 0.0556450i | ||||
\(851\) | 9.05845 | − | 2.42720i | 0.310520 | − | 0.0832035i | ||||
\(852\) | −8.37998 | − | 8.37998i | −0.287094 | − | 0.287094i | ||||
\(853\) | 3.22439 | + | 3.22439i | 0.110401 | + | 0.110401i | 0.760149 | − | 0.649748i | \(-0.225126\pi\) |
−0.649748 | + | 0.760149i | \(0.725126\pi\) | |||||||
\(854\) | 25.0753 | + | 5.00823i | 0.858059 | + | 0.171378i | ||||
\(855\) | −27.5571 | − | 15.9101i | −0.942434 | − | 0.544115i | ||||
\(856\) | 5.24266 | + | 1.40477i | 0.179191 | + | 0.0480140i | ||||
\(857\) | −12.4518 | − | 21.5671i | −0.425345 | − | 0.736719i | 0.571108 | − | 0.820875i | \(-0.306514\pi\) |
−0.996453 | + | 0.0841565i | \(0.973180\pi\) | |||||||
\(858\) | −5.47085 | − | 12.9468i | −0.186772 | − | 0.441998i | ||||
\(859\) | 25.4805 | + | 14.7112i | 0.869383 | + | 0.501939i | 0.867143 | − | 0.498059i | \(-0.165954\pi\) |
0.00224010 | + | 0.999997i | \(0.499287\pi\) | |||||||
\(860\) | −0.306814 | − | 1.14505i | −0.0104623 | − | 0.0390457i | ||||
\(861\) | 54.2835 | − | 18.3793i | 1.84998 | − | 0.626365i | ||||
\(862\) | −6.67673 | + | 3.85481i | −0.227410 | + | 0.131295i | ||||
\(863\) | 15.7730 | − | 4.22635i | 0.536918 | − | 0.143867i | 0.0198370 | − | 0.999803i | \(-0.493685\pi\) |
0.517081 | + | 0.855936i | \(0.327019\pi\) | |||||||
\(864\) | 1.54771 | + | 5.77613i | 0.0526541 | + | 0.196508i | ||||
\(865\) | −1.03976 | − | 3.88044i | −0.0353529 | − | 0.131939i | ||||
\(866\) | 13.3098 | − | 3.56636i | 0.452286 | − | 0.121190i | ||||
\(867\) | 17.3478 | − | 10.0158i | 0.589162 | − | 0.340153i | ||||
\(868\) | −6.16133 | − | 5.41189i | −0.209129 | − | 0.183692i | ||||
\(869\) | −2.03653 | − | 7.60044i | −0.0690846 | − | 0.257827i | ||||
\(870\) | 33.1797 | + | 19.1563i | 1.12490 | + | 0.649459i | ||||
\(871\) | 37.1777 | − | 28.9494i | 1.25972 | − | 0.980913i | ||||
\(872\) | 15.2267 | + | 26.3734i | 0.515641 | + | 0.893117i | ||||
\(873\) | −5.62123 | − | 1.50620i | −0.190250 | − | 0.0509773i | ||||
\(874\) | −6.84262 | − | 3.95059i | −0.231455 | − | 0.133631i | ||||
\(875\) | −16.6350 | − | 14.6116i | −0.562366 | − | 0.493962i | ||||
\(876\) | −6.36861 | − | 6.36861i | −0.215175 | − | 0.215175i | ||||
\(877\) | −24.0308 | − | 24.0308i | −0.811464 | − | 0.811464i | 0.173390 | − | 0.984853i | \(-0.444528\pi\) |
−0.984853 | + | 0.173390i | \(0.944528\pi\) | |||||||
\(878\) | −25.4619 | + | 6.82250i | −0.859298 | + | 0.230248i | ||||
\(879\) | 10.1420 | + | 2.71753i | 0.342080 | + | 0.0916601i | ||||
\(880\) | − | 10.5242i | − | 0.354770i | ||||||
\(881\) | −3.17840 | + | 5.50515i | −0.107083 | + | 0.185473i | −0.914587 | − | 0.404388i | \(-0.867484\pi\) |
0.807504 | + | 0.589862i | \(0.200818\pi\) | |||||||
\(882\) | 2.23713 | − | 16.7892i | 0.0753281 | − | 0.565321i | ||||
\(883\) | − | 19.8386i | − | 0.667623i | −0.942640 | − | 0.333811i | \(-0.891665\pi\) | ||
0.942640 | − | 0.333811i | \(-0.108335\pi\) | |||||||
\(884\) | 1.83942 | + | 4.35301i | 0.0618663 | + | 0.146408i | ||||
\(885\) | 38.3018 | − | 22.1135i | 1.28750 | − | 0.743339i | ||||
\(886\) | −5.75888 | − | 5.75888i | −0.193473 | − | 0.193473i | ||||
\(887\) | 0.925300 | − | 0.534222i | 0.0310685 | − | 0.0179374i | −0.484385 | − | 0.874855i | \(-0.660957\pi\) |
0.515454 | + | 0.856917i | \(0.327623\pi\) | |||||||
\(888\) | 31.2769 | + | 54.1732i | 1.04959 | + | 1.81793i | ||||
\(889\) | −14.6768 | − | 7.25212i | −0.492245 | − | 0.243228i | ||||
\(890\) | −0.127980 | + | 0.477627i | −0.00428989 | + | 0.0160101i | ||||
\(891\) | 11.0378 | − | 11.0378i | 0.369780 | − | 0.369780i | ||||
\(892\) | 2.12124 | − | 7.91659i | 0.0710245 | − | 0.265067i | ||||
\(893\) | −7.18715 | + | 12.4485i | −0.240509 | + | 0.416574i | ||||
\(894\) | −23.0824 | − | 39.9799i | −0.771991 | − | 1.33713i | ||||
\(895\) | 44.4820 | − | 11.9189i | 1.48687 | − | 0.398406i | ||||
\(896\) | 15.3023 | + | 3.05630i | 0.511215 | + | 0.102104i | ||||
\(897\) | 7.52920 | − | 3.18155i | 0.251393 | − | 0.106229i | ||||
\(898\) | 12.6772 | − | 21.9575i | 0.423043 | − | 0.732732i | ||||
\(899\) | 25.2113 | − | 25.2113i | 0.840845 | − | 0.840845i | ||||
\(900\) | 1.61748 | 0.0539159 | ||||||||
\(901\) | −14.3091 | −0.476706 | ||||||||
\(902\) | 12.0575 | − | 12.0575i | 0.401472 | − | 0.401472i | ||||
\(903\) | −3.20761 | − | 4.80869i | −0.106743 | − | 0.160023i | ||||
\(904\) | −48.7323 | − | 13.0578i | −1.62081 | − | 0.434296i | ||||
\(905\) | 0.610631 | + | 2.27891i | 0.0202981 | + | 0.0757534i | ||||
\(906\) | 21.0217 | + | 12.1369i | 0.698398 | + | 0.403220i | ||||
\(907\) | 2.39873i | 0.0796484i | 0.999207 | + | 0.0398242i | \(0.0126798\pi\) | ||||
−0.999207 | + | 0.0398242i | \(0.987320\pi\) | |||||||
\(908\) | −1.81899 | + | 6.78857i | −0.0603654 | + | 0.225287i | ||||
\(909\) | −10.3475 | −0.343206 | ||||||||
\(910\) | −1.82060 | + | 30.7543i | −0.0603523 | + | 1.01950i | ||||
\(911\) | −6.07001 | −0.201108 | −0.100554 | − | 0.994932i | \(-0.532062\pi\) | ||||
−0.100554 | + | 0.994932i | \(0.532062\pi\) | |||||||
\(912\) | 10.3004 | − | 38.4417i | 0.341081 | − | 1.27293i | ||||
\(913\) | 0.890162i | 0.0294601i | ||||||||
\(914\) | 0.768546 | + | 0.443720i | 0.0254212 | + | 0.0146770i | ||||
\(915\) | 11.6997 | + | 43.6637i | 0.386779 | + | 1.44348i | ||||
\(916\) | 6.70832 | + | 1.79749i | 0.221649 | + | 0.0593907i | ||||
\(917\) | −5.88971 | − | 2.91023i | −0.194495 | − | 0.0961042i | ||||
\(918\) | 5.78113 | − | 5.78113i | 0.190806 | − | 0.190806i | ||||
\(919\) | −1.11980 | −0.0369387 | −0.0184693 | − | 0.999829i | \(-0.505879\pi\) | ||||
−0.0184693 | + | 0.999829i | \(0.505879\pi\) | |||||||
\(920\) | 8.10495 | 0.267212 | ||||||||
\(921\) | −8.41116 | + | 8.41116i | −0.277157 | + | 0.277157i | ||||
\(922\) | 12.0562 | − | 20.8820i | 0.397050 | − | 0.687712i | ||||
\(923\) | 38.3907 | + | 15.5833i | 1.26365 | + | 0.512931i | ||||
\(924\) | 1.23661 | + | 3.65233i | 0.0406813 | + | 0.120153i | ||||
\(925\) | −15.8985 | + | 4.25999i | −0.522740 | + | 0.140068i | ||||
\(926\) | 20.9151 | + | 36.2260i | 0.687312 | + | 1.19046i | ||||
\(927\) | −4.70385 | + | 8.14731i | −0.154495 | + | 0.267593i | ||||
\(928\) | 3.53787 | − | 13.2035i | 0.116136 | − | 0.433426i | ||||
\(929\) | 21.9510 | − | 21.9510i | 0.720190 | − | 0.720190i | −0.248454 | − | 0.968644i | \(-0.579922\pi\) |
0.968644 | + | 0.248454i | \(0.0799224\pi\) | |||||||
\(930\) | −12.4404 | + | 46.4284i | −0.407938 | + | 1.52245i | ||||
\(931\) | −26.7169 | + | 34.7053i | −0.875611 | + | 1.13742i | ||||
\(932\) | −1.43962 | − | 2.49349i | −0.0471562 | − | 0.0816770i | ||||
\(933\) | −4.88273 | + | 2.81905i | −0.159853 | + | 0.0922914i | ||||
\(934\) | 5.19655 | + | 5.19655i | 0.170036 | + | 0.170036i | ||||
\(935\) | 9.01787 | − | 5.20647i | 0.294916 | − | 0.170270i | ||||
\(936\) | 13.2040 | + | 16.9570i | 0.431586 | + | 0.554256i | ||||
\(937\) | 7.31506i | 0.238973i | 0.992836 | + | 0.119486i | \(0.0381248\pi\) | ||||
−0.992836 | + | 0.119486i | \(0.961875\pi\) | |||||||
\(938\) | 35.6555 | − | 23.7838i | 1.16419 | − | 0.776569i | ||||
\(939\) | 5.93612 | − | 10.2817i | 0.193718 | − | 0.335529i | ||||
\(940\) | − | 2.77394i | − | 0.0904760i | ||||||
\(941\) | 2.34838 | + | 0.629247i | 0.0765550 | + | 0.0205129i | 0.296893 | − | 0.954911i | \(-0.404049\pi\) |
−0.220338 | + | 0.975424i | \(0.570716\pi\) | |||||||
\(942\) | 13.5020 | − | 3.61785i | 0.439919 | − | 0.117876i | ||||
\(943\) | 7.01202 | + | 7.01202i | 0.228343 | + | 0.228343i | ||||
\(944\) | 15.4179 | + | 15.4179i | 0.501812 | + | 0.501812i | ||||
\(945\) | −15.2268 | + | 5.15547i | −0.495326 | + | 0.167708i | ||||
\(946\) | −1.48944 | − | 0.859928i | −0.0484258 | − | 0.0279587i | ||||
\(947\) | −22.4373 | − | 6.01204i | −0.729113 | − | 0.195365i | −0.124879 | − | 0.992172i | \(-0.539854\pi\) |
−0.604234 | + | 0.796807i | \(0.706521\pi\) | |||||||
\(948\) | 2.87108 | + | 4.97286i | 0.0932485 | + | 0.161511i | ||||
\(949\) | 29.1761 | + | 11.8430i | 0.947098 | + | 0.384440i | ||||
\(950\) | 12.0095 | + | 6.93369i | 0.389640 | + | 0.224959i | ||||
\(951\) | −7.30381 | − | 27.2582i | −0.236842 | − | 0.883907i | ||||
\(952\) | 7.32757 | + | 21.6421i | 0.237488 | + | 0.701423i | ||||
\(953\) | −33.8286 | + | 19.5310i | −1.09582 | + | 0.632670i | −0.935119 | − | 0.354334i | \(-0.884708\pi\) |
−0.160697 | + | 0.987004i | \(0.551374\pi\) | |||||||
\(954\) | −11.8252 | + | 3.16856i | −0.382856 | + | 0.102586i | ||||
\(955\) | −15.7971 | − | 58.9555i | −0.511181 | − | 1.90775i | ||||
\(956\) | −2.40571 | − | 8.97823i | −0.0778062 | − | 0.290377i | ||||
\(957\) | −16.1936 | + | 4.33906i | −0.523465 | + | 0.140262i | ||||
\(958\) | 23.9844 | − | 13.8474i | 0.774900 | − | 0.447388i | ||||
\(959\) | 11.1695 | + | 32.9892i | 0.360681 | + | 1.06528i | ||||
\(960\) | 13.3478 | + | 49.8145i | 0.430797 | + | 1.60776i | ||||
\(961\) | 11.8914 | + | 6.86551i | 0.383594 | + | 0.221468i | ||||
\(962\) | −32.8179 | − | 24.8136i | −1.05809 | − | 0.800022i | ||||
\(963\) | 1.73476 | + | 3.00470i | 0.0559019 | + | 0.0968249i | ||||
\(964\) | 0.514237 | + | 0.137789i | 0.0165625 | + | 0.00443790i | ||||
\(965\) | 26.9027 | + | 15.5323i | 0.866030 | + | 0.500003i | ||||
\(966\) | 7.04222 | − | 2.38436i | 0.226580 | − | 0.0767154i | ||||
\(967\) | −37.5795 | − | 37.5795i | −1.20848 | − | 1.20848i | −0.971520 | − | 0.236956i | \(-0.923850\pi\) |
−0.236956 | − | 0.971520i | \(-0.576150\pi\) | |||||||
\(968\) | −19.4394 | − | 19.4394i | −0.624806 | − | 0.624806i | ||||
\(969\) | 38.0354 | − | 10.1915i | 1.22187 | − | 0.327400i | ||||
\(970\) | 9.30033 | + | 2.49202i | 0.298616 | + | 0.0800138i | ||||
\(971\) | − | 29.3313i | − | 0.941285i | −0.882324 | − | 0.470642i | \(-0.844022\pi\) | ||
0.882324 | − | 0.470642i | \(-0.155978\pi\) | |||||||
\(972\) | −4.07450 | + | 7.05723i | −0.130690 | + | 0.226361i | ||||
\(973\) | −38.9497 | + | 25.9812i | −1.24867 | + | 0.832919i | ||||
\(974\) | 6.66054i | 0.213417i | ||||||||
\(975\) | −13.2145 | + | 5.58396i | −0.423203 | + | 0.178830i | ||||
\(976\) | −19.3002 | + | 11.1430i | −0.617783 | + | 0.356677i | ||||
\(977\) | −38.8149 | − | 38.8149i | −1.24180 | − | 1.24180i | −0.959254 | − | 0.282544i | \(-0.908822\pi\) |
−0.282544 | − | 0.959254i | \(-0.591178\pi\) | |||||||
\(978\) | −6.00115 | + | 3.46476i | −0.191896 | + | 0.110791i | ||||
\(979\) | −0.108187 | − | 0.187385i | −0.00345766 | − | 0.00598884i | ||||
\(980\) | 1.11636 | − | 8.37802i | 0.0356607 | − | 0.267626i | ||||
\(981\) | −5.03841 | + | 18.8036i | −0.160864 | + | 0.600353i | ||||
\(982\) | −8.64302 | + | 8.64302i | −0.275810 | + | 0.275810i | ||||
\(983\) | 11.1821 | − | 41.7323i | 0.356654 | − | 1.33105i | −0.521735 | − | 0.853107i | \(-0.674715\pi\) |
0.878390 | − | 0.477945i | \(-0.158618\pi\) | |||||||
\(984\) | −33.0729 | + | 57.2840i | −1.05433 | + | 1.82615i | ||||
\(985\) | −13.5243 | − | 23.4248i | −0.430920 | − | 0.746376i | ||||
\(986\) | −18.0519 | + | 4.83701i | −0.574891 | + | 0.154042i | ||||
\(987\) | −4.33776 | − | 12.8116i | −0.138073 | − | 0.407799i | ||||
\(988\) | −1.43825 | − | 10.3555i | −0.0457569 | − | 0.329453i | ||||
\(989\) | 0.500088 | − | 0.866178i | 0.0159019 | − | 0.0275429i | ||||
\(990\) | 6.29958 | − | 6.29958i | 0.200214 | − | 0.200214i | ||||
\(991\) | 30.6608 | 0.973972 | 0.486986 | − | 0.873410i | \(-0.338096\pi\) | ||||
0.486986 | + | 0.873410i | \(0.338096\pi\) | |||||||
\(992\) | 17.1492 | 0.544487 | ||||||||
\(993\) | 14.0851 | − | 14.0851i | 0.446978 | − | 0.446978i | ||||
\(994\) | 33.7878 | + | 16.6953i | 1.07168 | + | 0.529542i | ||||
\(995\) | 10.0039 | + | 2.68053i | 0.317144 | + | 0.0849785i | ||||
\(996\) | −0.168130 | − | 0.627471i | −0.00532742 | − | 0.0198822i | ||||
\(997\) | 28.4041 | + | 16.3991i | 0.899567 | + | 0.519365i | 0.877060 | − | 0.480381i | \(-0.159502\pi\) |
0.0225074 | + | 0.999747i | \(0.492835\pi\) | |||||||
\(998\) | 0.346204i | 0.0109589i | ||||||||
\(999\) | 5.55645 | − | 20.7370i | 0.175798 | − | 0.656089i |
(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 | 91.2.w.a.33.3 | ✓ | 28 | |
3.2 | odd | 2 | 819.2.gh.b.397.5 | 28 | |||
7.2 | even | 3 | 637.2.bd.a.293.5 | 28 | |||
7.3 | odd | 6 | 91.2.ba.a.59.3 | yes | 28 | ||
7.4 | even | 3 | 637.2.bb.a.423.3 | 28 | |||
7.5 | odd | 6 | 637.2.bd.b.293.5 | 28 | |||
7.6 | odd | 2 | 637.2.x.a.215.3 | 28 | |||
13.2 | odd | 12 | 91.2.ba.a.54.3 | yes | 28 | ||
21.17 | even | 6 | 819.2.et.b.514.5 | 28 | |||
39.2 | even | 12 | 819.2.et.b.145.5 | 28 | |||
91.2 | odd | 12 | 637.2.bd.b.587.5 | 28 | |||
91.41 | even | 12 | 637.2.bb.a.509.3 | 28 | |||
91.54 | even | 12 | 637.2.bd.a.587.5 | 28 | |||
91.67 | odd | 12 | 637.2.x.a.80.3 | 28 | |||
91.80 | even | 12 | inner | 91.2.w.a.80.3 | yes | 28 | |
273.80 | odd | 12 | 819.2.gh.b.262.5 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.w.a.33.3 | ✓ | 28 | 1.1 | even | 1 | trivial | |
91.2.w.a.80.3 | yes | 28 | 91.80 | even | 12 | inner | |
91.2.ba.a.54.3 | yes | 28 | 13.2 | odd | 12 | ||
91.2.ba.a.59.3 | yes | 28 | 7.3 | odd | 6 | ||
637.2.x.a.80.3 | 28 | 91.67 | odd | 12 | |||
637.2.x.a.215.3 | 28 | 7.6 | odd | 2 | |||
637.2.bb.a.423.3 | 28 | 7.4 | even | 3 | |||
637.2.bb.a.509.3 | 28 | 91.41 | even | 12 | |||
637.2.bd.a.293.5 | 28 | 7.2 | even | 3 | |||
637.2.bd.a.587.5 | 28 | 91.54 | even | 12 | |||
637.2.bd.b.293.5 | 28 | 7.5 | odd | 6 | |||
637.2.bd.b.587.5 | 28 | 91.2 | odd | 12 | |||
819.2.et.b.145.5 | 28 | 39.2 | even | 12 | |||
819.2.et.b.514.5 | 28 | 21.17 | even | 6 | |||
819.2.gh.b.262.5 | 28 | 273.80 | odd | 12 | |||
819.2.gh.b.397.5 | 28 | 3.2 | odd | 2 |