Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(157,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.n (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - x^{19} + 4 x^{18} + 4 x^{17} + 37 x^{16} - 74 x^{15} + 398 x^{14} - 224 x^{13} + 978 x^{12} + \cdots + 121 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 196.1 | ||
Root | \(-0.375422 - 1.15543i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 429.196 |
Dual form | 429.2.n.b.313.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.375422 | + | 1.15543i | −0.265463 | + | 0.817012i | 0.726123 | + | 0.687565i | \(0.241320\pi\) |
−0.991586 | + | 0.129447i | \(0.958680\pi\) | |||||||
\(3\) | 0.809017 | − | 0.587785i | 0.467086 | − | 0.339358i | ||||
\(4\) | 0.423959 | + | 0.308024i | 0.211979 | + | 0.154012i | ||||
\(5\) | 0.339998 | + | 1.04640i | 0.152052 | + | 0.467967i | 0.997850 | − | 0.0655357i | \(-0.0208756\pi\) |
−0.845799 | + | 0.533502i | \(0.820876\pi\) | |||||||
\(6\) | 0.375422 | + | 1.15543i | 0.153265 | + | 0.471702i | ||||
\(7\) | 0.237146 | + | 0.172297i | 0.0896329 | + | 0.0651221i | 0.631699 | − | 0.775214i | \(-0.282358\pi\) |
−0.542066 | + | 0.840336i | \(0.682358\pi\) | |||||||
\(8\) | −2.48080 | + | 1.80240i | −0.877094 | + | 0.637246i | ||||
\(9\) | 0.309017 | − | 0.951057i | 0.103006 | − | 0.317019i | ||||
\(10\) | −1.33669 | −0.422698 | ||||||||
\(11\) | −0.323558 | + | 3.30080i | −0.0975563 | + | 0.995230i | ||||
\(12\) | 0.524042 | 0.151278 | ||||||||
\(13\) | −0.309017 | + | 0.951057i | −0.0857059 | + | 0.263776i | ||||
\(14\) | −0.288107 | + | 0.209322i | −0.0769998 | + | 0.0559436i | ||||
\(15\) | 0.890125 | + | 0.646714i | 0.229829 | + | 0.166981i | ||||
\(16\) | −0.827330 | − | 2.54626i | −0.206833 | − | 0.636565i | ||||
\(17\) | 0.568982 | + | 1.75115i | 0.137998 | + | 0.424716i | 0.996044 | − | 0.0888574i | \(-0.0283215\pi\) |
−0.858046 | + | 0.513573i | \(0.828322\pi\) | |||||||
\(18\) | 0.982867 | + | 0.714095i | 0.231664 | + | 0.168314i | ||||
\(19\) | 0.351197 | − | 0.255159i | 0.0805701 | − | 0.0585376i | −0.546771 | − | 0.837282i | \(-0.684143\pi\) |
0.627341 | + | 0.778745i | \(0.284143\pi\) | |||||||
\(20\) | −0.178173 | + | 0.548360i | −0.0398407 | + | 0.122617i | ||||
\(21\) | 0.293129 | 0.0639660 | ||||||||
\(22\) | −3.69238 | − | 1.61304i | −0.787217 | − | 0.343902i | ||||
\(23\) | 2.58972 | 0.539994 | 0.269997 | − | 0.962861i | \(-0.412977\pi\) | ||||
0.269997 | + | 0.962861i | \(0.412977\pi\) | |||||||
\(24\) | −0.947580 | + | 2.91635i | −0.193424 | + | 0.595298i | ||||
\(25\) | 3.06572 | − | 2.22738i | 0.613144 | − | 0.445475i | ||||
\(26\) | −0.982867 | − | 0.714095i | −0.192756 | − | 0.140045i | ||||
\(27\) | −0.309017 | − | 0.951057i | −0.0594703 | − | 0.183031i | ||||
\(28\) | 0.0474687 | + | 0.146094i | 0.00897074 | + | 0.0276091i | ||||
\(29\) | 0.749994 | + | 0.544902i | 0.139270 | + | 0.101186i | 0.655239 | − | 0.755422i | \(-0.272568\pi\) |
−0.515969 | + | 0.856607i | \(0.672568\pi\) | |||||||
\(30\) | −1.08140 | + | 0.785686i | −0.197437 | + | 0.143446i | ||||
\(31\) | 0.496795 | − | 1.52898i | 0.0892269 | − | 0.274612i | −0.896479 | − | 0.443086i | \(-0.853884\pi\) |
0.985706 | + | 0.168473i | \(0.0538837\pi\) | |||||||
\(32\) | −2.88025 | −0.509160 | ||||||||
\(33\) | 1.67840 | + | 2.86059i | 0.292172 | + | 0.497965i | ||||
\(34\) | −2.23694 | −0.383631 | ||||||||
\(35\) | −0.0996632 | + | 0.306732i | −0.0168461 | + | 0.0518471i | ||||
\(36\) | 0.423959 | − | 0.308024i | 0.0706598 | − | 0.0513373i | ||||
\(37\) | 3.13476 | + | 2.27754i | 0.515352 | + | 0.374425i | 0.814850 | − | 0.579672i | \(-0.196819\pi\) |
−0.299498 | + | 0.954097i | \(0.596819\pi\) | |||||||
\(38\) | 0.162972 | + | 0.501576i | 0.0264375 | + | 0.0813663i | ||||
\(39\) | 0.309017 | + | 0.951057i | 0.0494823 | + | 0.152291i | ||||
\(40\) | −2.72951 | − | 1.98311i | −0.431573 | − | 0.313556i | ||||
\(41\) | −2.66679 | + | 1.93754i | −0.416483 | + | 0.302592i | −0.776221 | − | 0.630461i | \(-0.782866\pi\) |
0.359738 | + | 0.933053i | \(0.382866\pi\) | |||||||
\(42\) | −0.110047 | + | 0.338690i | −0.0169806 | + | 0.0522610i | ||||
\(43\) | 0.832771 | 0.126996 | 0.0634982 | − | 0.997982i | \(-0.479774\pi\) | ||||
0.0634982 | + | 0.997982i | \(0.479774\pi\) | |||||||
\(44\) | −1.15390 | + | 1.29974i | −0.173957 | + | 0.195943i | ||||
\(45\) | 1.10026 | 0.164016 | ||||||||
\(46\) | −0.972237 | + | 2.99224i | −0.143349 | + | 0.441182i | ||||
\(47\) | −1.39394 | + | 1.01276i | −0.203328 | + | 0.147726i | −0.684790 | − | 0.728741i | \(-0.740106\pi\) |
0.481462 | + | 0.876467i | \(0.340106\pi\) | |||||||
\(48\) | −2.16598 | − | 1.57368i | −0.312632 | − | 0.227141i | ||||
\(49\) | −2.13657 | − | 6.57568i | −0.305224 | − | 0.939382i | ||||
\(50\) | 1.42264 | + | 4.37843i | 0.201191 | + | 0.619203i | ||||
\(51\) | 1.48962 | + | 1.08227i | 0.208588 | + | 0.151548i | ||||
\(52\) | −0.423959 | + | 0.308024i | −0.0587925 | + | 0.0427152i | ||||
\(53\) | 0.0466498 | − | 0.143573i | 0.00640784 | − | 0.0197213i | −0.947801 | − | 0.318861i | \(-0.896700\pi\) |
0.954209 | + | 0.299140i | \(0.0966997\pi\) | |||||||
\(54\) | 1.21489 | 0.165326 | ||||||||
\(55\) | −3.56399 | + | 0.783693i | −0.480568 | + | 0.105673i | ||||
\(56\) | −0.898861 | −0.120115 | ||||||||
\(57\) | 0.134145 | − | 0.412857i | 0.0177680 | − | 0.0546842i | ||||
\(58\) | −0.911160 | + | 0.661997i | −0.119641 | + | 0.0869244i | ||||
\(59\) | 3.09542 | + | 2.24895i | 0.402989 | + | 0.292789i | 0.770757 | − | 0.637129i | \(-0.219878\pi\) |
−0.367768 | + | 0.929917i | \(0.619878\pi\) | |||||||
\(60\) | 0.178173 | + | 0.548360i | 0.0230020 | + | 0.0707930i | ||||
\(61\) | −2.19191 | − | 6.74600i | −0.280645 | − | 0.863736i | −0.987670 | − | 0.156548i | \(-0.949963\pi\) |
0.707025 | − | 0.707188i | \(-0.250037\pi\) | |||||||
\(62\) | 1.58012 | + | 1.14802i | 0.200675 | + | 0.145799i | ||||
\(63\) | 0.237146 | − | 0.172297i | 0.0298776 | − | 0.0217074i | ||||
\(64\) | 2.73597 | − | 8.42044i | 0.341996 | − | 1.05256i | ||||
\(65\) | −1.10026 | −0.136470 | ||||||||
\(66\) | −3.93532 | + | 0.865346i | −0.484404 | + | 0.106517i | ||||
\(67\) | −2.04660 | −0.250031 | −0.125016 | − | 0.992155i | \(-0.539898\pi\) | ||||
−0.125016 | + | 0.992155i | \(0.539898\pi\) | |||||||
\(68\) | −0.298171 | + | 0.917674i | −0.0361585 | + | 0.111284i | ||||
\(69\) | 2.09513 | − | 1.52220i | 0.252224 | − | 0.183251i | ||||
\(70\) | −0.316991 | − | 0.230307i | −0.0378877 | − | 0.0275270i | ||||
\(71\) | −4.11762 | − | 12.6727i | −0.488671 | − | 1.50398i | −0.826592 | − | 0.562802i | \(-0.809724\pi\) |
0.337921 | − | 0.941175i | \(-0.390276\pi\) | |||||||
\(72\) | 0.947580 | + | 2.91635i | 0.111673 | + | 0.343695i | ||||
\(73\) | 1.68800 | + | 1.22641i | 0.197566 | + | 0.143540i | 0.682170 | − | 0.731194i | \(-0.261036\pi\) |
−0.484604 | + | 0.874733i | \(0.661036\pi\) | |||||||
\(74\) | −3.80839 | + | 2.76696i | −0.442717 | + | 0.321653i | ||||
\(75\) | 1.17100 | − | 3.60397i | 0.135216 | − | 0.416151i | ||||
\(76\) | 0.227488 | 0.0260947 | ||||||||
\(77\) | −0.645449 | + | 0.727026i | −0.0735557 | + | 0.0828523i | ||||
\(78\) | −1.21489 | −0.137559 | ||||||||
\(79\) | 1.63172 | − | 5.02190i | 0.183582 | − | 0.565008i | −0.816339 | − | 0.577573i | \(-0.804000\pi\) |
0.999921 | + | 0.0125651i | \(0.00399970\pi\) | |||||||
\(80\) | 2.38313 | − | 1.73144i | 0.266442 | − | 0.193581i | ||||
\(81\) | −0.809017 | − | 0.587785i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | −1.23752 | − | 3.80868i | −0.136661 | − | 0.420598i | ||||
\(83\) | 0.251130 | + | 0.772900i | 0.0275651 | + | 0.0848368i | 0.963893 | − | 0.266291i | \(-0.0857982\pi\) |
−0.936328 | + | 0.351128i | \(0.885798\pi\) | |||||||
\(84\) | 0.124275 | + | 0.0902908i | 0.0135595 | + | 0.00985153i | ||||
\(85\) | −1.63896 | + | 1.19077i | −0.177770 | + | 0.129157i | ||||
\(86\) | −0.312640 | + | 0.962208i | −0.0337129 | + | 0.103758i | ||||
\(87\) | 0.927043 | 0.0993895 | ||||||||
\(88\) | −5.14670 | − | 8.77181i | −0.548641 | − | 0.935078i | ||||
\(89\) | 10.8989 | 1.15528 | 0.577641 | − | 0.816291i | \(-0.303973\pi\) | ||||
0.577641 | + | 0.816291i | \(0.303973\pi\) | |||||||
\(90\) | −0.413060 | + | 1.27127i | −0.0435403 | + | 0.134003i | ||||
\(91\) | −0.237146 | + | 0.172297i | −0.0248597 | + | 0.0180616i | ||||
\(92\) | 1.09793 | + | 0.797696i | 0.114468 | + | 0.0831656i | ||||
\(93\) | −0.496795 | − | 1.52898i | −0.0515152 | − | 0.158547i | ||||
\(94\) | −0.646855 | − | 1.99082i | −0.0667180 | − | 0.205337i | ||||
\(95\) | 0.386406 | + | 0.280741i | 0.0396444 | + | 0.0288034i | ||||
\(96\) | −2.33017 | + | 1.69297i | −0.237822 | + | 0.172788i | ||||
\(97\) | 2.30186 | − | 7.08439i | 0.233718 | − | 0.719311i | −0.763571 | − | 0.645724i | \(-0.776556\pi\) |
0.997289 | − | 0.0735864i | \(-0.0234445\pi\) | |||||||
\(98\) | 8.39984 | 0.848512 | ||||||||
\(99\) | 3.03927 | + | 1.32773i | 0.305458 | + | 0.133442i | ||||
\(100\) | 1.98582 | 0.198582 | ||||||||
\(101\) | 3.73090 | − | 11.4825i | 0.371239 | − | 1.14256i | −0.574742 | − | 0.818334i | \(-0.694898\pi\) |
0.945981 | − | 0.324221i | \(-0.105102\pi\) | |||||||
\(102\) | −1.80972 | + | 1.31484i | −0.179189 | + | 0.130188i | ||||
\(103\) | 7.88099 | + | 5.72587i | 0.776537 | + | 0.564187i | 0.903938 | − | 0.427664i | \(-0.140663\pi\) |
−0.127401 | + | 0.991851i | \(0.540663\pi\) | |||||||
\(104\) | −0.947580 | − | 2.91635i | −0.0929179 | − | 0.285972i | ||||
\(105\) | 0.0996632 | + | 0.306732i | 0.00972613 | + | 0.0299339i | ||||
\(106\) | 0.148375 | + | 0.107801i | 0.0144115 | + | 0.0104706i | ||||
\(107\) | −8.09080 | + | 5.87831i | −0.782167 | + | 0.568278i | −0.905629 | − | 0.424072i | \(-0.860601\pi\) |
0.123461 | + | 0.992349i | \(0.460601\pi\) | |||||||
\(108\) | 0.161938 | − | 0.498393i | 0.0155825 | − | 0.0479579i | ||||
\(109\) | 15.1692 | 1.45295 | 0.726473 | − | 0.687195i | \(-0.241158\pi\) | ||||
0.726473 | + | 0.687195i | \(0.241158\pi\) | |||||||
\(110\) | 0.432496 | − | 4.41215i | 0.0412369 | − | 0.420682i | ||||
\(111\) | 3.87478 | 0.367778 | ||||||||
\(112\) | 0.242514 | − | 0.746383i | 0.0229155 | − | 0.0705265i | ||||
\(113\) | 8.76777 | − | 6.37016i | 0.824803 | − | 0.599254i | −0.0932814 | − | 0.995640i | \(-0.529736\pi\) |
0.918084 | + | 0.396385i | \(0.129736\pi\) | |||||||
\(114\) | 0.426666 | + | 0.309991i | 0.0399609 | + | 0.0290333i | ||||
\(115\) | 0.880499 | + | 2.70990i | 0.0821069 | + | 0.252699i | ||||
\(116\) | 0.150123 | + | 0.462032i | 0.0139386 | + | 0.0428986i | ||||
\(117\) | 0.809017 | + | 0.587785i | 0.0747936 | + | 0.0543408i | ||||
\(118\) | −3.76059 | + | 2.73223i | −0.346191 | + | 0.251522i | ||||
\(119\) | −0.166785 | + | 0.513312i | −0.0152892 | + | 0.0470553i | ||||
\(120\) | −3.37386 | −0.307990 | ||||||||
\(121\) | −10.7906 | − | 2.13600i | −0.980966 | − | 0.194182i | ||||
\(122\) | 8.61741 | 0.780184 | ||||||||
\(123\) | −1.01862 | + | 3.13500i | −0.0918461 | + | 0.282673i | ||||
\(124\) | 0.681582 | − | 0.495198i | 0.0612079 | − | 0.0444701i | ||||
\(125\) | 7.82370 | + | 5.68425i | 0.699773 | + | 0.508415i | ||||
\(126\) | 0.110047 | + | 0.338690i | 0.00980377 | + | 0.0301729i | ||||
\(127\) | −1.94042 | − | 5.97199i | −0.172184 | − | 0.529929i | 0.827309 | − | 0.561747i | \(-0.189870\pi\) |
−0.999494 | + | 0.0318178i | \(0.989870\pi\) | |||||||
\(128\) | 4.04175 | + | 2.93650i | 0.357243 | + | 0.259553i | ||||
\(129\) | 0.673726 | − | 0.489491i | 0.0593183 | − | 0.0430972i | ||||
\(130\) | 0.413060 | − | 1.27127i | 0.0362277 | − | 0.111498i | ||||
\(131\) | 5.36606 | 0.468834 | 0.234417 | − | 0.972136i | \(-0.424682\pi\) | ||||
0.234417 | + | 0.972136i | \(0.424682\pi\) | |||||||
\(132\) | −0.169558 | + | 1.72976i | −0.0147581 | + | 0.150556i | ||||
\(133\) | 0.127248 | 0.0110338 | ||||||||
\(134\) | 0.768336 | − | 2.36470i | 0.0663742 | − | 0.204279i | ||||
\(135\) | 0.890125 | − | 0.646714i | 0.0766098 | − | 0.0556603i | ||||
\(136\) | −4.56781 | − | 3.31871i | −0.391686 | − | 0.284577i | ||||
\(137\) | −4.84702 | − | 14.9176i | −0.414109 | − | 1.27450i | −0.913046 | − | 0.407857i | \(-0.866276\pi\) |
0.498937 | − | 0.866638i | \(-0.333724\pi\) | |||||||
\(138\) | 0.972237 | + | 2.99224i | 0.0827623 | + | 0.254716i | ||||
\(139\) | 1.44148 | + | 1.04729i | 0.122264 | + | 0.0888302i | 0.647237 | − | 0.762289i | \(-0.275924\pi\) |
−0.524973 | + | 0.851119i | \(0.675924\pi\) | |||||||
\(140\) | −0.136734 | + | 0.0993429i | −0.0115561 | + | 0.00839601i | ||||
\(141\) | −0.532439 | + | 1.63868i | −0.0448395 | + | 0.138002i | ||||
\(142\) | 16.1883 | 1.35849 | ||||||||
\(143\) | −3.03927 | − | 1.32773i | −0.254156 | − | 0.111030i | ||||
\(144\) | −2.67730 | −0.223108 | ||||||||
\(145\) | −0.315193 | + | 0.970063i | −0.0261753 | + | 0.0805593i | ||||
\(146\) | −2.05074 | + | 1.48995i | −0.169720 | + | 0.123309i | ||||
\(147\) | −5.59360 | − | 4.06399i | −0.461353 | − | 0.335192i | ||||
\(148\) | 0.627473 | + | 1.93116i | 0.0515780 | + | 0.158741i | ||||
\(149\) | −5.85767 | − | 18.0281i | −0.479879 | − | 1.47692i | −0.839263 | − | 0.543726i | \(-0.817013\pi\) |
0.359384 | − | 0.933190i | \(-0.382987\pi\) | |||||||
\(150\) | 3.72451 | + | 2.70602i | 0.304105 | + | 0.220945i | ||||
\(151\) | −13.7539 | + | 9.99278i | −1.11928 | + | 0.813201i | −0.984099 | − | 0.177620i | \(-0.943160\pi\) |
−0.135176 | + | 0.990822i | \(0.543160\pi\) | |||||||
\(152\) | −0.411348 | + | 1.26600i | −0.0333647 | + | 0.102686i | ||||
\(153\) | 1.84127 | 0.148857 | ||||||||
\(154\) | −0.597711 | − | 1.01871i | −0.0481650 | − | 0.0820901i | ||||
\(155\) | 1.76884 | 0.142076 | ||||||||
\(156\) | −0.161938 | + | 0.498393i | −0.0129654 | + | 0.0399034i | ||||
\(157\) | 2.35292 | − | 1.70949i | 0.187783 | − | 0.136432i | −0.489922 | − | 0.871766i | \(-0.662975\pi\) |
0.677705 | + | 0.735334i | \(0.262975\pi\) | |||||||
\(158\) | 5.18987 | + | 3.77066i | 0.412884 | + | 0.299978i | ||||
\(159\) | −0.0466498 | − | 0.143573i | −0.00369957 | − | 0.0113861i | ||||
\(160\) | −0.979277 | − | 3.01390i | −0.0774186 | − | 0.238270i | ||||
\(161\) | 0.614143 | + | 0.446201i | 0.0484012 | + | 0.0351656i | ||||
\(162\) | 0.982867 | − | 0.714095i | 0.0772213 | − | 0.0561046i | ||||
\(163\) | −4.04406 | + | 12.4463i | −0.316755 | + | 0.974871i | 0.658271 | + | 0.752781i | \(0.271288\pi\) |
−0.975026 | + | 0.222090i | \(0.928712\pi\) | |||||||
\(164\) | −1.72742 | −0.134889 | ||||||||
\(165\) | −2.42268 | + | 2.72888i | −0.188606 | + | 0.212443i | ||||
\(166\) | −0.987311 | −0.0766302 | ||||||||
\(167\) | 0.0949939 | − | 0.292361i | 0.00735085 | − | 0.0226236i | −0.947314 | − | 0.320307i | \(-0.896214\pi\) |
0.954665 | + | 0.297683i | \(0.0962140\pi\) | |||||||
\(168\) | −0.727194 | + | 0.528337i | −0.0561042 | + | 0.0407621i | ||||
\(169\) | −0.809017 | − | 0.587785i | −0.0622321 | − | 0.0452143i | ||||
\(170\) | −0.760553 | − | 2.34074i | −0.0583317 | − | 0.179527i | ||||
\(171\) | −0.134145 | − | 0.412857i | −0.0102583 | − | 0.0315719i | ||||
\(172\) | 0.353061 | + | 0.256514i | 0.0269206 | + | 0.0195590i | ||||
\(173\) | −13.9376 | + | 10.1263i | −1.05966 | + | 0.769887i | −0.974025 | − | 0.226440i | \(-0.927291\pi\) |
−0.0856328 | + | 0.996327i | \(0.527291\pi\) | |||||||
\(174\) | −0.348032 | + | 1.07113i | −0.0263843 | + | 0.0812024i | ||||
\(175\) | 1.11079 | 0.0839682 | ||||||||
\(176\) | 8.67240 | − | 1.90699i | 0.653707 | − | 0.143745i | ||||
\(177\) | 3.82615 | 0.287591 | ||||||||
\(178\) | −4.09169 | + | 12.5929i | −0.306685 | + | 0.943879i | ||||
\(179\) | 4.32192 | − | 3.14006i | 0.323035 | − | 0.234699i | −0.414434 | − | 0.910079i | \(-0.636021\pi\) |
0.737470 | + | 0.675380i | \(0.236021\pi\) | |||||||
\(180\) | 0.466463 | + | 0.338905i | 0.0347681 | + | 0.0252605i | ||||
\(181\) | 4.52801 | + | 13.9358i | 0.336564 | + | 1.03584i | 0.965946 | + | 0.258742i | \(0.0833080\pi\) |
−0.629382 | + | 0.777096i | \(0.716692\pi\) | |||||||
\(182\) | −0.110047 | − | 0.338690i | −0.00815723 | − | 0.0251054i | ||||
\(183\) | −5.73849 | − | 4.16925i | −0.424201 | − | 0.308200i | ||||
\(184\) | −6.42457 | + | 4.66772i | −0.473626 | + | 0.344109i | ||||
\(185\) | −1.31742 | + | 4.05459i | −0.0968584 | + | 0.298099i | ||||
\(186\) | 1.95313 | 0.143211 | ||||||||
\(187\) | −5.96429 | + | 1.31150i | −0.436152 | + | 0.0959066i | ||||
\(188\) | −0.902929 | −0.0658529 | ||||||||
\(189\) | 0.0905818 | − | 0.278782i | 0.00658886 | − | 0.0202784i | ||||
\(190\) | −0.469441 | + | 0.341069i | −0.0340568 | + | 0.0247437i | ||||
\(191\) | −14.2108 | − | 10.3248i | −1.02826 | − | 0.747074i | −0.0602999 | − | 0.998180i | \(-0.519206\pi\) |
−0.967960 | + | 0.251106i | \(0.919206\pi\) | |||||||
\(192\) | −2.73597 | − | 8.42044i | −0.197451 | − | 0.607693i | ||||
\(193\) | 5.19132 | + | 15.9772i | 0.373679 | + | 1.15007i | 0.944365 | + | 0.328898i | \(0.106677\pi\) |
−0.570686 | + | 0.821168i | \(0.693323\pi\) | |||||||
\(194\) | 7.32134 | + | 5.31927i | 0.525642 | + | 0.381901i | ||||
\(195\) | −0.890125 | + | 0.646714i | −0.0637432 | + | 0.0463121i | ||||
\(196\) | 1.11965 | − | 3.44593i | 0.0799750 | − | 0.246138i | ||||
\(197\) | −9.89782 | −0.705191 | −0.352595 | − | 0.935776i | \(-0.614701\pi\) | ||||
−0.352595 | + | 0.935776i | \(0.614701\pi\) | |||||||
\(198\) | −2.67510 | + | 3.01320i | −0.190111 | + | 0.214139i | ||||
\(199\) | −16.2114 | −1.14919 | −0.574596 | − | 0.818437i | \(-0.694841\pi\) | ||||
−0.574596 | + | 0.818437i | \(0.694841\pi\) | |||||||
\(200\) | −3.59080 | + | 11.0513i | −0.253908 | + | 0.781447i | ||||
\(201\) | −1.65573 | + | 1.20296i | −0.116786 | + | 0.0848502i | ||||
\(202\) | 11.8666 | + | 8.62159i | 0.834931 | + | 0.606613i | ||||
\(203\) | 0.0839733 | + | 0.258443i | 0.00589377 | + | 0.0181392i | ||||
\(204\) | 0.298171 | + | 0.917674i | 0.0208761 | + | 0.0642501i | ||||
\(205\) | −2.93415 | − | 2.13178i | −0.204930 | − | 0.148890i | ||||
\(206\) | −9.57454 | + | 6.95631i | −0.667090 | + | 0.484669i | ||||
\(207\) | 0.800268 | − | 2.46297i | 0.0556225 | − | 0.171188i | ||||
\(208\) | 2.67730 | 0.185637 | ||||||||
\(209\) | 0.728599 | + | 1.24179i | 0.0503983 | + | 0.0858965i | ||||
\(210\) | −0.391822 | −0.0270383 | ||||||||
\(211\) | −2.12679 | + | 6.54559i | −0.146414 | + | 0.450617i | −0.997190 | − | 0.0749117i | \(-0.976133\pi\) |
0.850776 | + | 0.525529i | \(0.176133\pi\) | |||||||
\(212\) | 0.0640016 | − | 0.0464998i | 0.00439564 | − | 0.00319362i | ||||
\(213\) | −10.7801 | − | 7.83218i | −0.738638 | − | 0.536652i | ||||
\(214\) | −3.75451 | − | 11.5552i | −0.256653 | − | 0.789897i | ||||
\(215\) | 0.283140 | + | 0.871416i | 0.0193100 | + | 0.0594301i | ||||
\(216\) | 2.48080 | + | 1.80240i | 0.168797 | + | 0.122638i | ||||
\(217\) | 0.381251 | − | 0.276995i | 0.0258810 | − | 0.0188036i | ||||
\(218\) | −5.69485 | + | 17.5270i | −0.385704 | + | 1.18707i | ||||
\(219\) | 2.08649 | 0.140992 | ||||||||
\(220\) | −1.75238 | − | 0.765540i | −0.118145 | − | 0.0516127i | ||||
\(221\) | −1.84127 | −0.123857 | ||||||||
\(222\) | −1.45468 | + | 4.47704i | −0.0976315 | + | 0.300479i | ||||
\(223\) | −3.78853 | + | 2.75253i | −0.253699 | + | 0.184323i | −0.707364 | − | 0.706849i | \(-0.750116\pi\) |
0.453666 | + | 0.891172i | \(0.350116\pi\) | |||||||
\(224\) | −0.683040 | − | 0.496257i | −0.0456375 | − | 0.0331576i | ||||
\(225\) | −1.17100 | − | 3.60397i | −0.0780667 | − | 0.240265i | ||||
\(226\) | 4.06866 | + | 12.5220i | 0.270643 | + | 0.832954i | ||||
\(227\) | −9.77762 | − | 7.10386i | −0.648963 | − | 0.471499i | 0.213955 | − | 0.976844i | \(-0.431366\pi\) |
−0.862918 | + | 0.505344i | \(0.831366\pi\) | |||||||
\(228\) | 0.184042 | − | 0.133714i | 0.0121885 | − | 0.00885544i | ||||
\(229\) | −4.39525 | + | 13.5272i | −0.290446 | + | 0.893902i | 0.694267 | + | 0.719718i | \(0.255729\pi\) |
−0.984713 | + | 0.174184i | \(0.944271\pi\) | |||||||
\(230\) | −3.46165 | −0.228255 | ||||||||
\(231\) | −0.0948441 | + | 0.967562i | −0.00624028 | + | 0.0636609i | ||||
\(232\) | −2.84272 | −0.186634 | ||||||||
\(233\) | −4.29512 | + | 13.2190i | −0.281383 | + | 0.866007i | 0.706077 | + | 0.708135i | \(0.250463\pi\) |
−0.987460 | + | 0.157872i | \(0.949537\pi\) | |||||||
\(234\) | −0.982867 | + | 0.714095i | −0.0642520 | + | 0.0466818i | ||||
\(235\) | −1.53369 | − | 1.11429i | −0.100047 | − | 0.0726885i | ||||
\(236\) | 0.619598 | + | 1.90693i | 0.0403324 | + | 0.124130i | ||||
\(237\) | −1.63172 | − | 5.02190i | −0.105991 | − | 0.326208i | ||||
\(238\) | −0.530481 | − | 0.385417i | −0.0343860 | − | 0.0249829i | ||||
\(239\) | 2.01551 | − | 1.46435i | 0.130373 | − | 0.0947212i | −0.520688 | − | 0.853747i | \(-0.674324\pi\) |
0.651060 | + | 0.759026i | \(0.274324\pi\) | |||||||
\(240\) | 0.910274 | − | 2.80154i | 0.0587580 | − | 0.180838i | ||||
\(241\) | 6.14860 | 0.396066 | 0.198033 | − | 0.980195i | \(-0.436545\pi\) | ||||
0.198033 | + | 0.980195i | \(0.436545\pi\) | |||||||
\(242\) | 6.51903 | − | 11.6659i | 0.419059 | − | 0.749912i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 1.14865 | − | 3.53518i | 0.0735348 | − | 0.226317i | ||||
\(245\) | 6.15439 | − | 4.47143i | 0.393190 | − | 0.285669i | ||||
\(246\) | −3.23986 | − | 2.35389i | −0.206566 | − | 0.150079i | ||||
\(247\) | 0.134145 | + | 0.412857i | 0.00853546 | + | 0.0262694i | ||||
\(248\) | 1.52339 | + | 4.68850i | 0.0967352 | + | 0.297720i | ||||
\(249\) | 0.657468 | + | 0.477678i | 0.0416653 | + | 0.0302716i | ||||
\(250\) | −9.50494 | + | 6.90574i | −0.601145 | + | 0.436757i | ||||
\(251\) | −4.58627 | + | 14.1151i | −0.289483 | + | 0.890936i | 0.695537 | + | 0.718491i | \(0.255167\pi\) |
−0.985019 | + | 0.172445i | \(0.944833\pi\) | |||||||
\(252\) | 0.153612 | 0.00967664 | ||||||||
\(253\) | −0.837924 | + | 8.54816i | −0.0526798 | + | 0.537418i | ||||
\(254\) | 7.62869 | 0.478667 | ||||||||
\(255\) | −0.626026 | + | 1.92671i | −0.0392033 | + | 0.120655i | ||||
\(256\) | 9.41543 | − | 6.84071i | 0.588464 | − | 0.427544i | ||||
\(257\) | 18.3863 | + | 13.3584i | 1.14690 | + | 0.833274i | 0.988066 | − | 0.154030i | \(-0.0492254\pi\) |
0.158838 | + | 0.987305i | \(0.449225\pi\) | |||||||
\(258\) | 0.312640 | + | 0.962208i | 0.0194641 | + | 0.0599045i | ||||
\(259\) | 0.350985 | + | 1.08022i | 0.0218091 | + | 0.0671216i | ||||
\(260\) | −0.466463 | − | 0.338905i | −0.0289288 | − | 0.0210180i | ||||
\(261\) | 0.749994 | − | 0.544902i | 0.0464235 | − | 0.0337286i | ||||
\(262\) | −2.01453 | + | 6.20010i | −0.124458 | + | 0.383043i | ||||
\(263\) | −13.9364 | −0.859358 | −0.429679 | − | 0.902982i | \(-0.641373\pi\) | ||||
−0.429679 | + | 0.902982i | \(0.641373\pi\) | |||||||
\(264\) | −9.31971 | − | 4.07138i | −0.573589 | − | 0.250576i | ||||
\(265\) | 0.166096 | 0.0102032 | ||||||||
\(266\) | −0.0477718 | + | 0.147026i | −0.00292907 | + | 0.00901476i | ||||
\(267\) | 8.81740 | − | 6.40622i | 0.539616 | − | 0.392054i | ||||
\(268\) | −0.867672 | − | 0.630401i | −0.0530015 | − | 0.0385078i | ||||
\(269\) | −8.22907 | − | 25.3265i | −0.501736 | − | 1.54418i | −0.806190 | − | 0.591656i | \(-0.798474\pi\) |
0.304455 | − | 0.952527i | \(-0.401526\pi\) | |||||||
\(270\) | 0.413060 | + | 1.27127i | 0.0251380 | + | 0.0773669i | ||||
\(271\) | 19.9622 | + | 14.5034i | 1.21262 | + | 0.881020i | 0.995466 | − | 0.0951171i | \(-0.0303226\pi\) |
0.217154 | + | 0.976137i | \(0.430323\pi\) | |||||||
\(272\) | 3.98814 | − | 2.89755i | 0.241817 | − | 0.175690i | ||||
\(273\) | −0.0905818 | + | 0.278782i | −0.00548226 | + | 0.0168727i | ||||
\(274\) | 19.0559 | 1.15121 | ||||||||
\(275\) | 6.36020 | + | 10.8400i | 0.383534 | + | 0.653678i | ||||
\(276\) | 1.35712 | 0.0816891 | ||||||||
\(277\) | 5.54792 | − | 17.0747i | 0.333342 | − | 1.02592i | −0.634191 | − | 0.773176i | \(-0.718667\pi\) |
0.967533 | − | 0.252745i | \(-0.0813333\pi\) | |||||||
\(278\) | −1.75123 | + | 1.27235i | −0.105032 | + | 0.0763103i | ||||
\(279\) | −1.30063 | − | 0.944959i | −0.0778664 | − | 0.0565732i | ||||
\(280\) | −0.305610 | − | 0.940572i | −0.0182637 | − | 0.0562099i | ||||
\(281\) | −3.30860 | − | 10.1828i | −0.197374 | − | 0.607456i | −0.999941 | − | 0.0108928i | \(-0.996533\pi\) |
0.802566 | − | 0.596563i | \(-0.203467\pi\) | |||||||
\(282\) | −1.69349 | − | 1.23039i | −0.100846 | − | 0.0732688i | ||||
\(283\) | −20.4471 | + | 14.8557i | −1.21545 | + | 0.883077i | −0.995714 | − | 0.0924821i | \(-0.970520\pi\) |
−0.219737 | + | 0.975559i | \(0.570520\pi\) | |||||||
\(284\) | 2.15780 | − | 6.64104i | 0.128042 | − | 0.394073i | ||||
\(285\) | 0.477624 | 0.0282920 | ||||||||
\(286\) | 2.67510 | − | 3.01320i | 0.158182 | − | 0.178174i | ||||
\(287\) | −0.966251 | −0.0570360 | ||||||||
\(288\) | −0.890045 | + | 2.73928i | −0.0524464 | + | 0.161413i | ||||
\(289\) | 11.0105 | − | 7.99961i | 0.647677 | − | 0.470565i | ||||
\(290\) | −1.00251 | − | 0.728365i | −0.0588694 | − | 0.0427711i | ||||
\(291\) | −2.30186 | − | 7.08439i | −0.134937 | − | 0.415294i | ||||
\(292\) | 0.337881 | + | 1.03989i | 0.0197730 | + | 0.0608550i | ||||
\(293\) | 15.9134 | + | 11.5617i | 0.929670 | + | 0.675445i | 0.945912 | − | 0.324423i | \(-0.105170\pi\) |
−0.0162422 | + | 0.999868i | \(0.505170\pi\) | |||||||
\(294\) | 6.79562 | − | 4.93730i | 0.396328 | − | 0.287949i | ||||
\(295\) | −1.30088 | + | 4.00370i | −0.0757402 | + | 0.233104i | ||||
\(296\) | −11.8818 | −0.690613 | ||||||||
\(297\) | 3.23924 | − | 0.712283i | 0.187960 | − | 0.0413309i | ||||
\(298\) | 23.0292 | 1.33405 | ||||||||
\(299\) | −0.800268 | + | 2.46297i | −0.0462807 | + | 0.142437i | ||||
\(300\) | 1.60657 | − | 1.16724i | 0.0927551 | − | 0.0673905i | ||||
\(301\) | 0.197489 | + | 0.143484i | 0.0113831 | + | 0.00827028i | ||||
\(302\) | −6.38245 | − | 19.6432i | −0.367269 | − | 1.13034i | ||||
\(303\) | −3.73090 | − | 11.4825i | −0.214335 | − | 0.659655i | ||||
\(304\) | −0.940258 | − | 0.683138i | −0.0539275 | − | 0.0391806i | ||||
\(305\) | 6.31380 | − | 4.58724i | 0.361527 | − | 0.262665i | ||||
\(306\) | −0.691251 | + | 2.12745i | −0.0395162 | + | 0.121618i | ||||
\(307\) | −5.00052 | −0.285395 | −0.142697 | − | 0.989766i | \(-0.545578\pi\) | ||||
−0.142697 | + | 0.989766i | \(0.545578\pi\) | |||||||
\(308\) | −0.497585 | + | 0.109415i | −0.0283525 | + | 0.00623451i | ||||
\(309\) | 9.74144 | 0.554171 | ||||||||
\(310\) | −0.664060 | + | 2.04377i | −0.0377161 | + | 0.116078i | ||||
\(311\) | 10.2338 | − | 7.43529i | 0.580306 | − | 0.421617i | −0.258529 | − | 0.966004i | \(-0.583238\pi\) |
0.838834 | + | 0.544387i | \(0.183238\pi\) | |||||||
\(312\) | −2.48080 | − | 1.80240i | −0.140447 | − | 0.102041i | ||||
\(313\) | 7.51653 | + | 23.1335i | 0.424859 | + | 1.30758i | 0.903129 | + | 0.429369i | \(0.141264\pi\) |
−0.478270 | + | 0.878213i | \(0.658736\pi\) | |||||||
\(314\) | 1.09186 | + | 3.36041i | 0.0616174 | + | 0.189639i | ||||
\(315\) | 0.260922 | + | 0.189571i | 0.0147013 | + | 0.0106811i | ||||
\(316\) | 2.23865 | − | 1.62647i | 0.125934 | − | 0.0914962i | ||||
\(317\) | −7.15074 | + | 22.0077i | −0.401625 | + | 1.23608i | 0.522055 | + | 0.852912i | \(0.325166\pi\) |
−0.923680 | + | 0.383164i | \(0.874834\pi\) | |||||||
\(318\) | 0.183402 | 0.0102847 | ||||||||
\(319\) | −2.04128 | + | 2.29928i | −0.114290 | + | 0.128735i | ||||
\(320\) | 9.74141 | 0.544562 | ||||||||
\(321\) | −3.09041 | + | 9.51131i | −0.172490 | + | 0.530869i | ||||
\(322\) | −0.746116 | + | 0.542085i | −0.0415794 | + | 0.0302092i | ||||
\(323\) | 0.646647 | + | 0.469816i | 0.0359804 | + | 0.0261413i | ||||
\(324\) | −0.161938 | − | 0.498393i | −0.00899654 | − | 0.0276885i | ||||
\(325\) | 1.17100 | + | 3.60397i | 0.0649554 | + | 0.199912i | ||||
\(326\) | −12.8626 | − | 9.34524i | −0.712395 | − | 0.517585i | ||||
\(327\) | 12.2721 | − | 8.91624i | 0.678651 | − | 0.493069i | ||||
\(328\) | 3.12354 | − | 9.61327i | 0.172469 | − | 0.530804i | ||||
\(329\) | −0.505064 | −0.0278451 | ||||||||
\(330\) | −2.24350 | − | 3.82372i | −0.123501 | − | 0.210489i | ||||
\(331\) | −15.4745 | −0.850553 | −0.425277 | − | 0.905063i | \(-0.639823\pi\) | ||||
−0.425277 | + | 0.905063i | \(0.639823\pi\) | |||||||
\(332\) | −0.131603 | + | 0.405032i | −0.00722264 | + | 0.0222290i | ||||
\(333\) | 3.13476 | − | 2.27754i | 0.171784 | − | 0.124808i | ||||
\(334\) | 0.302140 | + | 0.219518i | 0.0165324 | + | 0.0120115i | ||||
\(335\) | −0.695838 | − | 2.14157i | −0.0380177 | − | 0.117006i | ||||
\(336\) | −0.242514 | − | 0.746383i | −0.0132302 | − | 0.0407185i | ||||
\(337\) | 23.5062 | + | 17.0782i | 1.28046 | + | 0.930311i | 0.999567 | − | 0.0294273i | \(-0.00936836\pi\) |
0.280896 | + | 0.959738i | \(0.409368\pi\) | |||||||
\(338\) | 0.982867 | − | 0.714095i | 0.0534609 | − | 0.0388416i | ||||
\(339\) | 3.34899 | − | 10.3071i | 0.181892 | − | 0.559807i | ||||
\(340\) | −1.06164 | −0.0575753 | ||||||||
\(341\) | 4.88611 | + | 2.13453i | 0.264598 | + | 0.115591i | ||||
\(342\) | 0.527388 | 0.0285179 | ||||||||
\(343\) | 1.26036 | − | 3.87900i | 0.0680532 | − | 0.209446i | ||||
\(344\) | −2.06594 | + | 1.50099i | −0.111388 | + | 0.0809280i | ||||
\(345\) | 2.30518 | + | 1.67481i | 0.124106 | + | 0.0901686i | ||||
\(346\) | −6.46771 | − | 19.9056i | −0.347706 | − | 1.07013i | ||||
\(347\) | −10.4286 | − | 32.0959i | −0.559837 | − | 1.72300i | −0.682815 | − | 0.730591i | \(-0.739245\pi\) |
0.122979 | − | 0.992409i | \(-0.460755\pi\) | |||||||
\(348\) | 0.393028 | + | 0.285552i | 0.0210685 | + | 0.0153072i | ||||
\(349\) | 17.1134 | − | 12.4336i | 0.916062 | − | 0.665558i | −0.0264788 | − | 0.999649i | \(-0.508429\pi\) |
0.942541 | + | 0.334092i | \(0.108429\pi\) | |||||||
\(350\) | −0.417016 | + | 1.28344i | −0.0222905 | + | 0.0686030i | ||||
\(351\) | 1.00000 | 0.0533761 | ||||||||
\(352\) | 0.931925 | − | 9.50713i | 0.0496718 | − | 0.506732i | ||||
\(353\) | −13.7037 | −0.729373 | −0.364687 | − | 0.931130i | \(-0.618824\pi\) | ||||
−0.364687 | + | 0.931130i | \(0.618824\pi\) | |||||||
\(354\) | −1.43642 | + | 4.42084i | −0.0763448 | + | 0.234965i | ||||
\(355\) | 11.8608 | − | 8.61739i | 0.629507 | − | 0.457364i | ||||
\(356\) | 4.62069 | + | 3.35713i | 0.244896 | + | 0.177927i | ||||
\(357\) | 0.166785 | + | 0.513312i | 0.00882721 | + | 0.0271674i | ||||
\(358\) | 2.00557 | + | 6.17252i | 0.105998 | + | 0.326228i | ||||
\(359\) | −5.66286 | − | 4.11431i | −0.298874 | − | 0.217145i | 0.428234 | − | 0.903668i | \(-0.359136\pi\) |
−0.727108 | + | 0.686523i | \(0.759136\pi\) | |||||||
\(360\) | −2.72951 | + | 1.98311i | −0.143858 | + | 0.104519i | ||||
\(361\) | −5.81309 | + | 17.8909i | −0.305952 | + | 0.941624i | ||||
\(362\) | −17.8017 | −0.935637 | ||||||||
\(363\) | −9.98531 | + | 4.61451i | −0.524093 | + | 0.242199i | ||||
\(364\) | −0.153612 | −0.00805145 | ||||||||
\(365\) | −0.709400 | + | 2.18331i | −0.0371317 | + | 0.114280i | ||||
\(366\) | 6.97163 | − | 5.06519i | 0.364413 | − | 0.264762i | ||||
\(367\) | −20.3047 | − | 14.7522i | −1.05990 | − | 0.770061i | −0.0858282 | − | 0.996310i | \(-0.527354\pi\) |
−0.974069 | + | 0.226249i | \(0.927354\pi\) | |||||||
\(368\) | −2.14255 | − | 6.59410i | −0.111688 | − | 0.343741i | ||||
\(369\) | 1.01862 | + | 3.13500i | 0.0530274 | + | 0.163202i | ||||
\(370\) | −4.19021 | − | 3.04436i | −0.217838 | − | 0.158269i | ||||
\(371\) | 0.0358000 | − | 0.0260102i | 0.00185865 | − | 0.00135038i | ||||
\(372\) | 0.260341 | − | 0.801247i | 0.0134981 | − | 0.0415427i | ||||
\(373\) | 27.2972 | 1.41339 | 0.706697 | − | 0.707516i | \(-0.250184\pi\) | ||||
0.706697 | + | 0.707516i | \(0.250184\pi\) | |||||||
\(374\) | 0.723777 | − | 7.38369i | 0.0374256 | − | 0.381801i | ||||
\(375\) | 9.67063 | 0.499389 | ||||||||
\(376\) | 1.63269 | − | 5.02490i | 0.0841995 | − | 0.259140i | ||||
\(377\) | −0.749994 | + | 0.544902i | −0.0386267 | + | 0.0280639i | ||||
\(378\) | 0.288107 | + | 0.209322i | 0.0148186 | + | 0.0107664i | ||||
\(379\) | 7.31992 | + | 22.5284i | 0.375999 | + | 1.15721i | 0.942802 | + | 0.333353i | \(0.108180\pi\) |
−0.566803 | + | 0.823853i | \(0.691820\pi\) | |||||||
\(380\) | 0.0773455 | + | 0.238045i | 0.00396774 | + | 0.0122114i | ||||
\(381\) | −5.08008 | − | 3.69090i | −0.260260 | − | 0.189090i | ||||
\(382\) | 17.2646 | − | 12.5435i | 0.883334 | − | 0.641779i | ||||
\(383\) | −1.87898 | + | 5.78290i | −0.0960113 | + | 0.295492i | −0.987516 | − | 0.157519i | \(-0.949650\pi\) |
0.891505 | + | 0.453012i | \(0.149650\pi\) | |||||||
\(384\) | 4.99587 | 0.254945 | ||||||||
\(385\) | −0.980214 | − | 0.428214i | −0.0499564 | − | 0.0218238i | ||||
\(386\) | −20.4095 | −1.03882 | ||||||||
\(387\) | 0.257340 | − | 0.792013i | 0.0130814 | − | 0.0402603i | ||||
\(388\) | 3.15805 | − | 2.29446i | 0.160326 | − | 0.116484i | ||||
\(389\) | 0.804947 | + | 0.584828i | 0.0408124 | + | 0.0296520i | 0.608004 | − | 0.793934i | \(-0.291970\pi\) |
−0.567192 | + | 0.823586i | \(0.691970\pi\) | |||||||
\(390\) | −0.413060 | − | 1.27127i | −0.0209161 | − | 0.0643731i | ||||
\(391\) | 1.47351 | + | 4.53498i | 0.0745184 | + | 0.229344i | ||||
\(392\) | 17.1524 | + | 12.4620i | 0.866328 | + | 0.629424i | ||||
\(393\) | 4.34123 | − | 3.15409i | 0.218986 | − | 0.159103i | ||||
\(394\) | 3.71586 | − | 11.4362i | 0.187202 | − | 0.576149i | ||||
\(395\) | 5.80973 | 0.292319 | ||||||||
\(396\) | 0.879552 | + | 1.49907i | 0.0441992 | + | 0.0753310i | ||||
\(397\) | −14.8992 | −0.747768 | −0.373884 | − | 0.927476i | \(-0.621974\pi\) | ||||
−0.373884 | + | 0.927476i | \(0.621974\pi\) | |||||||
\(398\) | 6.08609 | − | 18.7311i | 0.305068 | − | 0.938904i | ||||
\(399\) | 0.102946 | − | 0.0747947i | 0.00515375 | − | 0.00374442i | ||||
\(400\) | −8.20784 | − | 5.96335i | −0.410392 | − | 0.298167i | ||||
\(401\) | −3.61036 | − | 11.1115i | −0.180293 | − | 0.554884i | 0.819543 | − | 0.573018i | \(-0.194227\pi\) |
−0.999836 | + | 0.0181341i | \(0.994227\pi\) | |||||||
\(402\) | −0.768336 | − | 2.36470i | −0.0383211 | − | 0.117940i | ||||
\(403\) | 1.30063 | + | 0.944959i | 0.0647888 | + | 0.0470718i | ||||
\(404\) | 5.11865 | − | 3.71891i | 0.254662 | − | 0.185023i | ||||
\(405\) | 0.339998 | − | 1.04640i | 0.0168946 | − | 0.0519963i | ||||
\(406\) | −0.330138 | −0.0163845 | ||||||||
\(407\) | −8.53199 | + | 9.61033i | −0.422915 | + | 0.476366i | ||||
\(408\) | −5.64612 | −0.279525 | ||||||||
\(409\) | −1.73548 | + | 5.34125i | −0.0858138 | + | 0.264108i | −0.984751 | − | 0.173970i | \(-0.944340\pi\) |
0.898937 | + | 0.438078i | \(0.144340\pi\) | |||||||
\(410\) | 3.56467 | − | 2.58988i | 0.176046 | − | 0.127905i | ||||
\(411\) | −12.6897 | − | 9.21958i | −0.625935 | − | 0.454768i | ||||
\(412\) | 1.57751 | + | 4.85507i | 0.0777182 | + | 0.239192i | ||||
\(413\) | 0.346579 | + | 1.06666i | 0.0170541 | + | 0.0524870i | ||||
\(414\) | 2.54535 | + | 1.84931i | 0.125097 | + | 0.0908884i | ||||
\(415\) | −0.723383 | + | 0.525568i | −0.0355095 | + | 0.0257991i | ||||
\(416\) | 0.890045 | − | 2.73928i | 0.0436380 | − | 0.134304i | ||||
\(417\) | 1.78176 | 0.0872532 | ||||||||
\(418\) | −1.70833 | + | 0.375649i | −0.0835573 | + | 0.0183736i | ||||
\(419\) | 13.4323 | 0.656210 | 0.328105 | − | 0.944641i | \(-0.393590\pi\) | ||||
0.328105 | + | 0.944641i | \(0.393590\pi\) | |||||||
\(420\) | −0.0522277 | + | 0.160740i | −0.00254845 | + | 0.00784332i | ||||
\(421\) | 16.7457 | − | 12.1664i | 0.816133 | − | 0.592955i | −0.0994691 | − | 0.995041i | \(-0.531714\pi\) |
0.915602 | + | 0.402085i | \(0.131714\pi\) | |||||||
\(422\) | −6.76453 | − | 4.91472i | −0.329292 | − | 0.239245i | ||||
\(423\) | 0.532439 | + | 1.63868i | 0.0258881 | + | 0.0796753i | ||||
\(424\) | 0.143048 | + | 0.440258i | 0.00694704 | + | 0.0213808i | ||||
\(425\) | 5.64480 | + | 4.10119i | 0.273813 | + | 0.198937i | ||||
\(426\) | 13.0966 | − | 9.51524i | 0.634532 | − | 0.461015i | ||||
\(427\) | 0.642511 | − | 1.97745i | 0.0310933 | − | 0.0956954i | ||||
\(428\) | −5.24083 | −0.253325 | ||||||||
\(429\) | −3.23924 | + | 0.712283i | −0.156392 | + | 0.0343894i | ||||
\(430\) | −1.11316 | −0.0536812 | ||||||||
\(431\) | 8.85521 | − | 27.2535i | 0.426541 | − | 1.31276i | −0.474971 | − | 0.880002i | \(-0.657541\pi\) |
0.901511 | − | 0.432755i | \(-0.142459\pi\) | |||||||
\(432\) | −2.16598 | + | 1.57368i | −0.104211 | + | 0.0757135i | ||||
\(433\) | 0.333459 | + | 0.242272i | 0.0160250 | + | 0.0116428i | 0.595769 | − | 0.803156i | \(-0.296847\pi\) |
−0.579744 | + | 0.814799i | \(0.696847\pi\) | |||||||
\(434\) | 0.176918 | + | 0.544498i | 0.00849235 | + | 0.0261368i | ||||
\(435\) | 0.315193 | + | 0.970063i | 0.0151123 | + | 0.0465110i | ||||
\(436\) | 6.43112 | + | 4.67248i | 0.307995 | + | 0.223771i | ||||
\(437\) | 0.909502 | − | 0.660792i | 0.0435074 | − | 0.0316100i | ||||
\(438\) | −0.783312 | + | 2.41079i | −0.0374281 | + | 0.115192i | ||||
\(439\) | −23.8114 | −1.13645 | −0.568227 | − | 0.822872i | \(-0.692371\pi\) | ||||
−0.568227 | + | 0.822872i | \(0.692371\pi\) | |||||||
\(440\) | 7.42900 | − | 8.36793i | 0.354163 | − | 0.398925i | ||||
\(441\) | −6.91408 | −0.329242 | ||||||||
\(442\) | 0.691251 | − | 2.12745i | 0.0328795 | − | 0.101193i | ||||
\(443\) | −25.7528 | + | 18.7105i | −1.22355 | + | 0.888962i | −0.996390 | − | 0.0848946i | \(-0.972945\pi\) |
−0.227162 | + | 0.973857i | \(0.572945\pi\) | |||||||
\(444\) | 1.64275 | + | 1.19353i | 0.0779613 | + | 0.0566422i | ||||
\(445\) | 3.70560 | + | 11.4047i | 0.175662 | + | 0.540633i | ||||
\(446\) | −1.75806 | − | 5.41074i | −0.0832463 | − | 0.256206i | ||||
\(447\) | −15.3356 | − | 11.1420i | −0.725348 | − | 0.526996i | ||||
\(448\) | 2.09964 | − | 1.52548i | 0.0991987 | − | 0.0720721i | ||||
\(449\) | −8.74049 | + | 26.9005i | −0.412489 | + | 1.26951i | 0.501988 | + | 0.864874i | \(0.332602\pi\) |
−0.914478 | + | 0.404637i | \(0.867398\pi\) | |||||||
\(450\) | 4.60375 | 0.217023 | ||||||||
\(451\) | −5.53257 | − | 9.42945i | −0.260518 | − | 0.444016i | ||||
\(452\) | 5.67934 | 0.267134 | ||||||||
\(453\) | −5.25352 | + | 16.1687i | −0.246832 | + | 0.759670i | ||||
\(454\) | 11.8787 | − | 8.63040i | 0.557497 | − | 0.405045i | ||||
\(455\) | −0.260922 | − | 0.189571i | −0.0122322 | − | 0.00888721i | ||||
\(456\) | 0.411348 | + | 1.26600i | 0.0192631 | + | 0.0592858i | ||||
\(457\) | −9.88606 | − | 30.4262i | −0.462450 | − | 1.42328i | −0.862161 | − | 0.506635i | \(-0.830889\pi\) |
0.399711 | − | 0.916641i | \(-0.369111\pi\) | |||||||
\(458\) | −13.9796 | − | 10.1568i | −0.653226 | − | 0.474596i | ||||
\(459\) | 1.48962 | − | 1.08227i | 0.0695293 | − | 0.0505160i | ||||
\(460\) | −0.461418 | + | 1.42010i | −0.0215137 | + | 0.0662125i | ||||
\(461\) | −28.2620 | −1.31629 | −0.658147 | − | 0.752890i | \(-0.728659\pi\) | ||||
−0.658147 | + | 0.752890i | \(0.728659\pi\) | |||||||
\(462\) | −1.08234 | − | 0.472829i | −0.0503551 | − | 0.0219980i | ||||
\(463\) | −27.9220 | −1.29764 | −0.648822 | − | 0.760940i | \(-0.724738\pi\) | ||||
−0.648822 | + | 0.760940i | \(0.724738\pi\) | |||||||
\(464\) | 0.766971 | − | 2.36049i | 0.0356057 | − | 0.109583i | ||||
\(465\) | 1.43102 | − | 1.03970i | 0.0663619 | − | 0.0482148i | ||||
\(466\) | −13.6612 | − | 9.92542i | −0.632841 | − | 0.459786i | ||||
\(467\) | 6.40931 | + | 19.7258i | 0.296587 | + | 0.912802i | 0.982684 | + | 0.185291i | \(0.0593229\pi\) |
−0.686096 | + | 0.727511i | \(0.740677\pi\) | |||||||
\(468\) | 0.161938 | + | 0.498393i | 0.00748558 | + | 0.0230382i | ||||
\(469\) | −0.485343 | − | 0.352622i | −0.0224110 | − | 0.0162826i | ||||
\(470\) | 1.86327 | − | 1.35375i | 0.0859463 | − | 0.0624436i | ||||
\(471\) | 0.898734 | − | 2.76602i | 0.0414115 | − | 0.127451i | ||||
\(472\) | −11.7326 | −0.540038 | ||||||||
\(473\) | −0.269449 | + | 2.74882i | −0.0123893 | + | 0.126391i | ||||
\(474\) | 6.41504 | 0.294652 | ||||||||
\(475\) | 0.508335 | − | 1.56450i | 0.0233240 | − | 0.0717840i | ||||
\(476\) | −0.228823 | + | 0.166249i | −0.0104881 | + | 0.00762002i | ||||
\(477\) | −0.122131 | − | 0.0887331i | −0.00559198 | − | 0.00406281i | ||||
\(478\) | 0.935291 | + | 2.87853i | 0.0427792 | + | 0.131661i | ||||
\(479\) | −10.8649 | − | 33.4388i | −0.496431 | − | 1.52786i | −0.814715 | − | 0.579862i | \(-0.803106\pi\) |
0.318283 | − | 0.947996i | \(-0.396894\pi\) | |||||||
\(480\) | −2.56378 | − | 1.86269i | −0.117020 | − | 0.0850200i | ||||
\(481\) | −3.13476 | + | 2.27754i | −0.142933 | + | 0.103847i | ||||
\(482\) | −2.30832 | + | 7.10427i | −0.105141 | + | 0.323591i | ||||
\(483\) | 0.759122 | 0.0345413 | ||||||||
\(484\) | −3.91684 | − | 4.22935i | −0.178038 | − | 0.192243i | ||||
\(485\) | 8.19577 | 0.372151 | ||||||||
\(486\) | 0.375422 | − | 1.15543i | 0.0170295 | − | 0.0524113i | ||||
\(487\) | −28.6420 | + | 20.8096i | −1.29789 | + | 0.942975i | −0.999933 | − | 0.0116029i | \(-0.996307\pi\) |
−0.297961 | + | 0.954578i | \(0.596307\pi\) | |||||||
\(488\) | 17.5967 | + | 12.7847i | 0.796565 | + | 0.578738i | ||||
\(489\) | 4.04406 | + | 12.4463i | 0.182878 | + | 0.562842i | ||||
\(490\) | 2.85593 | + | 8.78964i | 0.129018 | + | 0.397075i | ||||
\(491\) | 34.2971 | + | 24.9183i | 1.54781 | + | 1.12455i | 0.945193 | + | 0.326512i | \(0.105873\pi\) |
0.602612 | + | 0.798034i | \(0.294127\pi\) | |||||||
\(492\) | −1.39751 | + | 1.01535i | −0.0630046 | + | 0.0457755i | ||||
\(493\) | −0.527471 | + | 1.62339i | −0.0237561 | + | 0.0731138i | ||||
\(494\) | −0.527388 | −0.0237283 | ||||||||
\(495\) | −0.355996 | + | 3.63173i | −0.0160008 | + | 0.163234i | ||||
\(496\) | −4.30419 | −0.193264 | ||||||||
\(497\) | 1.20699 | − | 3.71474i | 0.0541411 | − | 0.166629i | ||||
\(498\) | −0.798751 | + | 0.580327i | −0.0357929 | + | 0.0260051i | ||||
\(499\) | −21.7947 | − | 15.8348i | −0.975664 | − | 0.708861i | −0.0189283 | − | 0.999821i | \(-0.506025\pi\) |
−0.956735 | + | 0.290960i | \(0.906025\pi\) | |||||||
\(500\) | 1.56604 | + | 4.81978i | 0.0700354 | + | 0.215547i | ||||
\(501\) | −0.0949939 | − | 0.292361i | −0.00424402 | − | 0.0130617i | ||||
\(502\) | −14.5872 | − | 10.5982i | −0.651058 | − | 0.473021i | ||||
\(503\) | −5.82044 | + | 4.22880i | −0.259520 | + | 0.188553i | −0.709936 | − | 0.704267i | \(-0.751276\pi\) |
0.450415 | + | 0.892819i | \(0.351276\pi\) | |||||||
\(504\) | −0.277763 | + | 0.854867i | −0.0123726 | + | 0.0380788i | ||||
\(505\) | 13.2839 | 0.591125 | ||||||||
\(506\) | −9.56222 | − | 4.17733i | −0.425093 | − | 0.185705i | ||||
\(507\) | −1.00000 | −0.0444116 | ||||||||
\(508\) | 1.01686 | − | 3.12957i | 0.0451159 | − | 0.138852i | ||||
\(509\) | 26.9684 | − | 19.5937i | 1.19535 | − | 0.868476i | 0.201535 | − | 0.979481i | \(-0.435407\pi\) |
0.993820 | + | 0.111005i | \(0.0354071\pi\) | |||||||
\(510\) | −1.99115 | − | 1.44666i | −0.0881697 | − | 0.0640591i | ||||
\(511\) | 0.188998 | + | 0.581675i | 0.00836077 | + | 0.0257318i | ||||
\(512\) | 7.45682 | + | 22.9497i | 0.329548 | + | 1.01424i | ||||
\(513\) | −0.351197 | − | 0.255159i | −0.0155057 | − | 0.0112656i | ||||
\(514\) | −22.3373 | + | 16.2290i | −0.985256 | + | 0.715830i | ||||
\(515\) | −3.31207 | + | 10.1935i | −0.145947 | + | 0.449179i | ||||
\(516\) | 0.436407 | 0.0192117 | ||||||||
\(517\) | −2.89190 | − | 4.92882i | −0.127186 | − | 0.216769i | ||||
\(518\) | −1.37989 | −0.0606287 | ||||||||
\(519\) | −5.32370 | + | 16.3847i | −0.233684 | + | 0.719207i | ||||
\(520\) | 2.72951 | − | 1.98311i | 0.119697 | − | 0.0869649i | ||||
\(521\) | 1.83621 | + | 1.33409i | 0.0804459 | + | 0.0584474i | 0.627281 | − | 0.778793i | \(-0.284168\pi\) |
−0.546835 | + | 0.837240i | \(0.684168\pi\) | |||||||
\(522\) | 0.348032 | + | 1.07113i | 0.0152330 | + | 0.0468822i | ||||
\(523\) | 0.742081 | + | 2.28389i | 0.0324489 | + | 0.0998675i | 0.965969 | − | 0.258657i | \(-0.0832799\pi\) |
−0.933520 | + | 0.358525i | \(0.883280\pi\) | |||||||
\(524\) | 2.27499 | + | 1.65287i | 0.0993832 | + | 0.0722061i | ||||
\(525\) | 0.898651 | − | 0.652909i | 0.0392204 | − | 0.0284953i | ||||
\(526\) | 5.23205 | − | 16.1026i | 0.228128 | − | 0.702106i | ||||
\(527\) | 2.96013 | 0.128945 | ||||||||
\(528\) | 5.89521 | − | 6.64030i | 0.256556 | − | 0.288982i | ||||
\(529\) | −16.2933 | −0.708406 | ||||||||
\(530\) | −0.0623562 | + | 0.191913i | −0.00270858 | + | 0.00833616i | ||||
\(531\) | 3.09542 | − | 2.24895i | 0.134330 | − | 0.0975962i | ||||
\(532\) | 0.0539480 | + | 0.0391955i | 0.00233894 | + | 0.00169934i | ||||
\(533\) | −1.01862 | − | 3.13500i | −0.0441215 | − | 0.135792i | ||||
\(534\) | 4.09169 | + | 12.5929i | 0.177065 | + | 0.544949i | ||||
\(535\) | −8.90195 | − | 6.46764i | −0.384865 | − | 0.279621i | ||||
\(536\) | 5.07719 | − | 3.68879i | 0.219301 | − | 0.159332i | ||||
\(537\) | 1.65083 | − | 5.08072i | 0.0712384 | − | 0.219249i | ||||
\(538\) | 32.3523 | 1.39481 | ||||||||
\(539\) | 22.3963 | − | 4.92478i | 0.964678 | − | 0.212125i | ||||
\(540\) | 0.576580 | 0.0248120 | ||||||||
\(541\) | 9.18175 | − | 28.2585i | 0.394754 | − | 1.21493i | −0.534399 | − | 0.845233i | \(-0.679462\pi\) |
0.929153 | − | 0.369696i | \(-0.120538\pi\) | |||||||
\(542\) | −24.2519 | + | 17.6201i | −1.04171 | + | 0.756847i | ||||
\(543\) | 11.8545 | + | 8.61278i | 0.508724 | + | 0.369610i | ||||
\(544\) | −1.63881 | − | 5.04374i | −0.0702634 | − | 0.216248i | ||||
\(545\) | 5.15750 | + | 15.8731i | 0.220923 | + | 0.679931i | ||||
\(546\) | −0.288107 | − | 0.209322i | −0.0123298 | − | 0.00895815i | ||||
\(547\) | 22.5142 | − | 16.3575i | 0.962637 | − | 0.699397i | 0.00887561 | − | 0.999961i | \(-0.497175\pi\) |
0.953762 | + | 0.300564i | \(0.0971748\pi\) | |||||||
\(548\) | 2.54004 | − | 7.81744i | 0.108505 | − | 0.333944i | ||||
\(549\) | −7.09316 | −0.302729 | ||||||||
\(550\) | −14.9126 | + | 3.27917i | −0.635877 | + | 0.139824i | ||||
\(551\) | 0.402433 | 0.0171442 | ||||||||
\(552\) | −2.45397 | + | 7.55254i | −0.104448 | + | 0.321457i | ||||
\(553\) | 1.25221 | − | 0.909787i | 0.0532496 | − | 0.0386881i | ||||
\(554\) | 17.6458 | + | 12.8204i | 0.749700 | + | 0.544689i | ||||
\(555\) | 1.31742 | + | 4.05459i | 0.0559212 | + | 0.172108i | ||||
\(556\) | 0.288535 | + | 0.888018i | 0.0122366 | + | 0.0376604i | ||||
\(557\) | 4.92110 | + | 3.57539i | 0.208514 | + | 0.151494i | 0.687141 | − | 0.726524i | \(-0.258865\pi\) |
−0.478627 | + | 0.878018i | \(0.658865\pi\) | |||||||
\(558\) | 1.58012 | − | 1.14802i | 0.0668917 | − | 0.0485996i | ||||
\(559\) | −0.257340 | + | 0.792013i | −0.0108843 | + | 0.0334986i | ||||
\(560\) | 0.863473 | 0.0364884 | ||||||||
\(561\) | −4.05433 | + | 4.56675i | −0.171174 | + | 0.192808i | ||||
\(562\) | 13.0076 | 0.548694 | ||||||||
\(563\) | 1.22526 | − | 3.77095i | 0.0516384 | − | 0.158927i | −0.921912 | − | 0.387400i | \(-0.873373\pi\) |
0.973550 | + | 0.228473i | \(0.0733733\pi\) | |||||||
\(564\) | −0.730485 | + | 0.530728i | −0.0307590 | + | 0.0223477i | ||||
\(565\) | 9.64679 | + | 7.00880i | 0.405843 | + | 0.294863i | ||||
\(566\) | −9.48839 | − | 29.2023i | −0.398827 | − | 1.22746i | ||||
\(567\) | −0.0905818 | − | 0.278782i | −0.00380408 | − | 0.0117078i | ||||
\(568\) | 33.0564 | + | 24.0169i | 1.38701 | + | 1.00772i | ||||
\(569\) | 7.73091 | − | 5.61684i | 0.324097 | − | 0.235470i | −0.413825 | − | 0.910356i | \(-0.635807\pi\) |
0.737922 | + | 0.674887i | \(0.235807\pi\) | |||||||
\(570\) | −0.179311 | + | 0.551861i | −0.00751049 | + | 0.0231149i | ||||
\(571\) | 5.48522 | 0.229549 | 0.114775 | − | 0.993392i | \(-0.463385\pi\) | ||||
0.114775 | + | 0.993392i | \(0.463385\pi\) | |||||||
\(572\) | −0.879552 | − | 1.49907i | −0.0367759 | − | 0.0626792i | ||||
\(573\) | −17.5656 | −0.733811 | ||||||||
\(574\) | 0.362752 | − | 1.11643i | 0.0151410 | − | 0.0465991i | ||||
\(575\) | 7.93936 | − | 5.76828i | 0.331094 | − | 0.240554i | ||||
\(576\) | −7.16286 | − | 5.20412i | −0.298452 | − | 0.216838i | ||||
\(577\) | −0.940301 | − | 2.89395i | −0.0391453 | − | 0.120477i | 0.929574 | − | 0.368635i | \(-0.120175\pi\) |
−0.968720 | + | 0.248158i | \(0.920175\pi\) | |||||||
\(578\) | 5.10939 | + | 15.7251i | 0.212523 | + | 0.654078i | ||||
\(579\) | 13.5910 | + | 9.87447i | 0.564824 | + | 0.410369i | ||||
\(580\) | −0.432431 | + | 0.314180i | −0.0179557 | + | 0.0130456i | ||||
\(581\) | −0.0736136 | + | 0.226559i | −0.00305401 | + | 0.00939927i | ||||
\(582\) | 9.04968 | 0.375121 | ||||||||
\(583\) | 0.458813 | + | 0.200436i | 0.0190021 | + | 0.00830121i | ||||
\(584\) | −6.39807 | −0.264754 | ||||||||
\(585\) | −0.339998 | + | 1.04640i | −0.0140572 | + | 0.0432635i | ||||
\(586\) | −19.3330 | + | 14.0463i | −0.798639 | + | 0.580246i | ||||
\(587\) | 5.24121 | + | 3.80796i | 0.216328 | + | 0.157171i | 0.690672 | − | 0.723168i | \(-0.257315\pi\) |
−0.474344 | + | 0.880339i | \(0.657315\pi\) | |||||||
\(588\) | −1.11965 | − | 3.44593i | −0.0461736 | − | 0.142108i | ||||
\(589\) | −0.215660 | − | 0.663734i | −0.00888612 | − | 0.0273487i | ||||
\(590\) | −4.13761 | − | 3.00615i | −0.170343 | − | 0.123761i | ||||
\(591\) | −8.00751 | + | 5.81779i | −0.329385 | + | 0.239312i | ||||
\(592\) | 3.20572 | − | 9.86620i | 0.131754 | − | 0.405498i | ||||
\(593\) | 20.5458 | 0.843713 | 0.421857 | − | 0.906663i | \(-0.361379\pi\) | ||||
0.421857 | + | 0.906663i | \(0.361379\pi\) | |||||||
\(594\) | −0.393087 | + | 4.01012i | −0.0161285 | + | 0.164537i | ||||
\(595\) | −0.593839 | −0.0243450 | ||||||||
\(596\) | 3.06966 | − | 9.44745i | 0.125738 | − | 0.386983i | ||||
\(597\) | −13.1153 | + | 9.52879i | −0.536772 | + | 0.389988i | ||||
\(598\) | −2.54535 | − | 1.84931i | −0.104087 | − | 0.0756237i | ||||
\(599\) | 1.77572 | + | 5.46510i | 0.0725539 | + | 0.223298i | 0.980757 | − | 0.195231i | \(-0.0625457\pi\) |
−0.908203 | + | 0.418529i | \(0.862546\pi\) | |||||||
\(600\) | 3.59080 | + | 11.0513i | 0.146594 | + | 0.451169i | ||||
\(601\) | 6.44160 | + | 4.68010i | 0.262758 | + | 0.190905i | 0.711362 | − | 0.702826i | \(-0.248079\pi\) |
−0.448604 | + | 0.893731i | \(0.648079\pi\) | |||||||
\(602\) | −0.239927 | + | 0.174317i | −0.00977870 | + | 0.00710464i | ||||
\(603\) | −0.632433 | + | 1.94643i | −0.0257547 | + | 0.0792647i | ||||
\(604\) | −8.90910 | −0.362506 | ||||||||
\(605\) | −1.43366 | − | 12.0176i | −0.0582867 | − | 0.488585i | ||||
\(606\) | 14.6679 | 0.595844 | ||||||||
\(607\) | −2.95743 | + | 9.10203i | −0.120038 | + | 0.369440i | −0.992965 | − | 0.118412i | \(-0.962220\pi\) |
0.872926 | + | 0.487852i | \(0.162220\pi\) | |||||||
\(608\) | −1.01153 | + | 0.734922i | −0.0410231 | + | 0.0298050i | ||||
\(609\) | 0.219845 | + | 0.159727i | 0.00890857 | + | 0.00647245i | ||||
\(610\) | 2.92990 | + | 9.01730i | 0.118628 | + | 0.365100i | ||||
\(611\) | −0.532439 | − | 1.63868i | −0.0215402 | − | 0.0662939i | ||||
\(612\) | 0.780621 | + | 0.567154i | 0.0315547 | + | 0.0229258i | ||||
\(613\) | 24.1419 | − | 17.5401i | 0.975083 | − | 0.708439i | 0.0184785 | − | 0.999829i | \(-0.494118\pi\) |
0.956604 | + | 0.291390i | \(0.0941178\pi\) | |||||||
\(614\) | 1.87730 | − | 5.77774i | 0.0757618 | − | 0.233171i | ||||
\(615\) | −3.62681 | −0.146247 | ||||||||
\(616\) | 0.290833 | − | 2.96696i | 0.0117180 | − | 0.119542i | ||||
\(617\) | −11.4293 | −0.460128 | −0.230064 | − | 0.973176i | \(-0.573893\pi\) | ||||
−0.230064 | + | 0.973176i | \(0.573893\pi\) | |||||||
\(618\) | −3.65715 | + | 11.2555i | −0.147112 | + | 0.452764i | ||||
\(619\) | −38.1411 | + | 27.7112i | −1.53302 | + | 1.11381i | −0.578493 | + | 0.815687i | \(0.696359\pi\) |
−0.954529 | + | 0.298119i | \(0.903641\pi\) | |||||||
\(620\) | 0.749914 | + | 0.544844i | 0.0301173 | + | 0.0218815i | ||||
\(621\) | −0.800268 | − | 2.46297i | −0.0321136 | − | 0.0988356i | ||||
\(622\) | 4.74896 | + | 14.6158i | 0.190416 | + | 0.586040i | ||||
\(623\) | 2.58464 | + | 1.87785i | 0.103551 | + | 0.0752344i | ||||
\(624\) | 2.16598 | − | 1.57368i | 0.0867085 | − | 0.0629974i | ||||
\(625\) | 2.56701 | − | 7.90046i | 0.102681 | − | 0.316018i | ||||
\(626\) | −29.5510 | −1.18109 | ||||||||
\(627\) | 1.31936 | + | 0.576370i | 0.0526900 | + | 0.0230180i | ||||
\(628\) | 1.52410 | 0.0608184 | ||||||||
\(629\) | −2.20468 | + | 6.78531i | −0.0879064 | + | 0.270548i | ||||
\(630\) | −0.316991 | + | 0.230307i | −0.0126292 | + | 0.00917567i | ||||
\(631\) | −27.1748 | − | 19.7436i | −1.08181 | − | 0.785981i | −0.103813 | − | 0.994597i | \(-0.533104\pi\) |
−0.977998 | + | 0.208616i | \(0.933104\pi\) | |||||||
\(632\) | 5.00355 | + | 15.3993i | 0.199030 | + | 0.612553i | ||||
\(633\) | 2.12679 | + | 6.54559i | 0.0845324 | + | 0.260164i | ||||
\(634\) | −22.7438 | − | 16.5243i | −0.903272 | − | 0.656266i | ||||
\(635\) | 5.58939 | − | 4.06093i | 0.221808 | − | 0.161153i | ||||
\(636\) | 0.0244464 | − | 0.0752383i | 0.000969363 | − | 0.00298339i | ||||
\(637\) | 6.91408 | 0.273946 | ||||||||
\(638\) | −1.89031 | − | 3.22176i | −0.0748380 | − | 0.127551i | ||||
\(639\) | −13.3249 | −0.527125 | ||||||||
\(640\) | −1.69859 | + | 5.22771i | −0.0671425 | + | 0.206643i | ||||
\(641\) | 27.2496 | − | 19.7980i | 1.07630 | − | 0.781975i | 0.0992627 | − | 0.995061i | \(-0.468352\pi\) |
0.977033 | + | 0.213086i | \(0.0683516\pi\) | |||||||
\(642\) | −9.82944 | − | 7.14150i | −0.387937 | − | 0.281853i | ||||
\(643\) | 13.5591 | + | 41.7307i | 0.534720 | + | 1.64570i | 0.744254 | + | 0.667896i | \(0.232805\pi\) |
−0.209535 | + | 0.977801i | \(0.567195\pi\) | |||||||
\(644\) | 0.122931 | + | 0.378341i | 0.00484414 | + | 0.0149087i | ||||
\(645\) | 0.741271 | + | 0.538565i | 0.0291875 | + | 0.0212060i | ||||
\(646\) | −0.785605 | + | 0.570775i | −0.0309092 | + | 0.0224569i | ||||
\(647\) | −9.01054 | + | 27.7316i | −0.354241 | + | 1.09024i | 0.602208 | + | 0.798340i | \(0.294288\pi\) |
−0.956448 | + | 0.291902i | \(0.905712\pi\) | |||||||
\(648\) | 3.06643 | 0.120461 | ||||||||
\(649\) | −8.42490 | + | 9.48970i | −0.330706 | + | 0.372503i | ||||
\(650\) | −4.60375 | −0.180574 | ||||||||
\(651\) | 0.145625 | − | 0.448187i | 0.00570749 | − | 0.0175658i | ||||
\(652\) | −5.54828 | + | 4.03106i | −0.217287 | + | 0.157868i | ||||
\(653\) | 22.5436 | + | 16.3789i | 0.882200 | + | 0.640956i | 0.933833 | − | 0.357710i | \(-0.116442\pi\) |
−0.0516324 | + | 0.998666i | \(0.516442\pi\) | |||||||
\(654\) | 5.69485 | + | 17.5270i | 0.222686 | + | 0.685358i | ||||
\(655\) | 1.82445 | + | 5.61507i | 0.0712870 | + | 0.219399i | ||||
\(656\) | 7.13979 | + | 5.18736i | 0.278762 | + | 0.202532i | ||||
\(657\) | 1.68800 | − | 1.22641i | 0.0658552 | − | 0.0478466i | ||||
\(658\) | 0.189612 | − | 0.583566i | 0.00739185 | − | 0.0227498i | ||||
\(659\) | 2.09110 | 0.0814577 | 0.0407288 | − | 0.999170i | \(-0.487032\pi\) | ||||
0.0407288 | + | 0.999170i | \(0.487032\pi\) | |||||||
\(660\) | −1.86768 | + | 0.410688i | −0.0726993 | + | 0.0159860i | ||||
\(661\) | −30.7967 | −1.19785 | −0.598926 | − | 0.800804i | \(-0.704406\pi\) | ||||
−0.598926 | + | 0.800804i | \(0.704406\pi\) | |||||||
\(662\) | 5.80945 | − | 17.8796i | 0.225791 | − | 0.694912i | ||||
\(663\) | −1.48962 | + | 1.08227i | −0.0578519 | + | 0.0420318i | ||||
\(664\) | −2.01608 | − | 1.46477i | −0.0782392 | − | 0.0568441i | ||||
\(665\) | 0.0432641 | + | 0.133153i | 0.00167771 | + | 0.00516346i | ||||
\(666\) | 1.45468 | + | 4.47704i | 0.0563676 | + | 0.173482i | ||||
\(667\) | 1.94227 | + | 1.41115i | 0.0752052 | + | 0.0546398i | ||||
\(668\) | 0.130328 | − | 0.0946887i | 0.00504253 | − | 0.00366362i | ||||
\(669\) | −1.44709 | + | 4.45369i | −0.0559477 | + | 0.172189i | ||||
\(670\) | 2.73566 | 0.105688 | ||||||||
\(671\) | 22.9764 | − | 5.05234i | 0.886995 | − | 0.195043i | ||||
\(672\) | −0.844284 | −0.0325689 | ||||||||
\(673\) | −4.28893 | + | 13.2000i | −0.165326 | + | 0.508821i | −0.999060 | − | 0.0433450i | \(-0.986199\pi\) |
0.833734 | + | 0.552166i | \(0.186199\pi\) | |||||||
\(674\) | −28.5574 | + | 20.7482i | −1.09999 | + | 0.799190i | ||||
\(675\) | −3.06572 | − | 2.22738i | −0.118000 | − | 0.0857317i | ||||
\(676\) | −0.161938 | − | 0.498393i | −0.00622838 | − | 0.0191690i | ||||
\(677\) | 5.55141 | + | 17.0855i | 0.213358 | + | 0.656649i | 0.999266 | + | 0.0383054i | \(0.0121960\pi\) |
−0.785908 | + | 0.618344i | \(0.787804\pi\) | |||||||
\(678\) | 10.6519 | + | 7.73905i | 0.409083 | + | 0.297216i | ||||
\(679\) | 1.76650 | − | 1.28343i | 0.0677919 | − | 0.0492537i | ||||
\(680\) | 1.91967 | − | 5.90813i | 0.0736159 | − | 0.226566i | ||||
\(681\) | −12.0858 | −0.463129 | ||||||||
\(682\) | −4.30065 | + | 4.84421i | −0.164681 | + | 0.185494i | ||||
\(683\) | 9.13938 | 0.349709 | 0.174854 | − | 0.984594i | \(-0.444055\pi\) | ||||
0.174854 | + | 0.984594i | \(0.444055\pi\) | |||||||
\(684\) | 0.0702977 | − | 0.216354i | 0.00268790 | − | 0.00827251i | ||||
\(685\) | 13.9619 | − | 10.1439i | 0.533455 | − | 0.387578i | ||||
\(686\) | 4.00874 | + | 2.91252i | 0.153054 | + | 0.111201i | ||||
\(687\) | 4.39525 | + | 13.5272i | 0.167689 | + | 0.516094i | ||||
\(688\) | −0.688977 | − | 2.12045i | −0.0262670 | − | 0.0808415i | ||||
\(689\) | 0.122131 | + | 0.0887331i | 0.00465281 | + | 0.00338046i | ||||
\(690\) | −2.80054 | + | 2.03471i | −0.106615 | + | 0.0774600i | ||||
\(691\) | 2.97021 | − | 9.14138i | 0.112992 | − | 0.347755i | −0.878531 | − | 0.477686i | \(-0.841476\pi\) |
0.991523 | + | 0.129931i | \(0.0414757\pi\) | |||||||
\(692\) | −9.02811 | −0.343197 | ||||||||
\(693\) | 0.491988 | + | 0.838522i | 0.0186891 | + | 0.0318528i | ||||
\(694\) | 40.9997 | 1.55633 | ||||||||
\(695\) | −0.605795 | + | 1.86444i | −0.0229791 | + | 0.0707224i | ||||
\(696\) | −2.29981 | + | 1.67091i | −0.0871739 | + | 0.0633356i | ||||
\(697\) | −4.91027 | − | 3.56752i | −0.185990 | − | 0.135129i | ||||
\(698\) | 7.94144 | + | 24.4412i | 0.300588 | + | 0.925115i | ||||
\(699\) | 4.29512 | + | 13.2190i | 0.162456 | + | 0.499989i | ||||
\(700\) | 0.470931 | + | 0.342151i | 0.0177995 | + | 0.0129321i | ||||
\(701\) | −14.1365 | + | 10.2708i | −0.533929 | + | 0.387922i | −0.821825 | − | 0.569739i | \(-0.807044\pi\) |
0.287896 | + | 0.957662i | \(0.407044\pi\) | |||||||
\(702\) | −0.375422 | + | 1.15543i | −0.0141694 | + | 0.0436089i | ||||
\(703\) | 1.68206 | 0.0634399 | ||||||||
\(704\) | 26.9090 | + | 11.7554i | 1.01417 | + | 0.443048i | ||||
\(705\) | −1.89575 | −0.0713981 | ||||||||
\(706\) | 5.14466 | − | 15.8336i | 0.193622 | − | 0.595907i | ||||
\(707\) | 2.86318 | − | 2.08022i | 0.107681 | − | 0.0782347i | ||||
\(708\) | 1.62213 | + | 1.17855i | 0.0609633 | + | 0.0442924i | ||||
\(709\) | −8.73186 | − | 26.8739i | −0.327932 | − | 1.00927i | −0.970100 | − | 0.242707i | \(-0.921965\pi\) |
0.642168 | − | 0.766564i | \(-0.278035\pi\) | |||||||
\(710\) | 5.50398 | + | 16.9395i | 0.206561 | + | 0.635728i | ||||
\(711\) | −4.27189 | − | 3.10371i | −0.160208 | − | 0.116398i | ||||
\(712\) | −27.0380 | + | 19.6442i | −1.01329 | + | 0.736199i | ||||
\(713\) | 1.28656 | − | 3.95962i | 0.0481820 | − | 0.148289i | ||||
\(714\) | −0.655711 | −0.0245394 | ||||||||
\(715\) | 0.355996 | − | 3.63173i | 0.0133135 | − | 0.135819i | ||||
\(716\) | 2.79953 | 0.104623 | ||||||||
\(717\) | 0.769857 | − | 2.36937i | 0.0287508 | − | 0.0884859i | ||||
\(718\) | 6.87976 | − | 4.99844i | 0.256750 | − | 0.186540i | ||||
\(719\) | 1.34976 | + | 0.980656i | 0.0503375 | + | 0.0365723i | 0.612669 | − | 0.790339i | \(-0.290096\pi\) |
−0.562332 | + | 0.826912i | \(0.690096\pi\) | |||||||
\(720\) | −0.910274 | − | 2.80154i | −0.0339239 | − | 0.104407i | ||||
\(721\) | 0.882398 | + | 2.71574i | 0.0328622 | + | 0.101139i | ||||
\(722\) | −18.4893 | − | 13.4332i | −0.688099 | − | 0.499933i | ||||
\(723\) | 4.97432 | − | 3.61406i | 0.184997 | − | 0.134408i | ||||
\(724\) | −2.37287 | + | 7.30293i | −0.0881868 | + | 0.271411i | ||||
\(725\) | 3.51297 | 0.130469 | ||||||||
\(726\) | −1.58304 | − | 13.2697i | −0.0587520 | − | 0.492485i | ||||
\(727\) | −3.96788 | −0.147160 | −0.0735802 | − | 0.997289i | \(-0.523443\pi\) | ||||
−0.0735802 | + | 0.997289i | \(0.523443\pi\) | |||||||
\(728\) | 0.277763 | − | 0.854867i | 0.0102946 | − | 0.0316835i | ||||
\(729\) | −0.809017 | + | 0.587785i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | −2.25633 | − | 1.63932i | −0.0835107 | − | 0.0606741i | ||||
\(731\) | 0.473832 | + | 1.45831i | 0.0175253 | + | 0.0539374i | ||||
\(732\) | −1.14865 | − | 3.53518i | −0.0424553 | − | 0.130664i | ||||
\(733\) | −21.3196 | − | 15.4896i | −0.787458 | − | 0.572122i | 0.119750 | − | 0.992804i | \(-0.461791\pi\) |
−0.907208 | + | 0.420682i | \(0.861791\pi\) | |||||||
\(734\) | 24.6680 | − | 17.9224i | 0.910513 | − | 0.661526i | ||||
\(735\) | 2.35077 | − | 7.23492i | 0.0867094 | − | 0.266864i | ||||
\(736\) | −7.45903 | −0.274944 | ||||||||
\(737\) | 0.662191 | − | 6.75541i | 0.0243921 | − | 0.248839i | ||||
\(738\) | −4.00468 | −0.147414 | ||||||||
\(739\) | 0.0348869 | − | 0.107371i | 0.00128333 | − | 0.00394970i | −0.950413 | − | 0.310991i | \(-0.899339\pi\) |
0.951696 | + | 0.307041i | \(0.0993390\pi\) | |||||||
\(740\) | −1.80744 | + | 1.31318i | −0.0664429 | + | 0.0482736i | ||||
\(741\) | 0.351197 | + | 0.255159i | 0.0129015 | + | 0.00937352i | ||||
\(742\) | 0.0166129 | + | 0.0511292i | 0.000609878 | + | 0.00187701i | ||||
\(743\) | −8.68556 | − | 26.7314i | −0.318642 | − | 0.980680i | −0.974229 | − | 0.225560i | \(-0.927579\pi\) |
0.655587 | − | 0.755120i | \(-0.272421\pi\) | |||||||
\(744\) | 3.98828 | + | 2.89766i | 0.146217 | + | 0.106233i | ||||
\(745\) | 16.8731 | − | 12.2590i | 0.618181 | − | 0.449135i | ||||
\(746\) | −10.2480 | + | 31.5400i | −0.375204 | + | 1.15476i | ||||
\(747\) | 0.812675 | 0.0297342 | ||||||||
\(748\) | −2.93259 | − | 1.28112i | −0.107226 | − | 0.0468425i | ||||
\(749\) | −2.93152 | −0.107115 | ||||||||
\(750\) | −3.63056 | + | 11.1737i | −0.132569 | + | 0.408007i | ||||
\(751\) | −6.70723 | + | 4.87309i | −0.244750 | + | 0.177822i | −0.703397 | − | 0.710797i | \(-0.748334\pi\) |
0.458647 | + | 0.888619i | \(0.348334\pi\) | |||||||
\(752\) | 3.73200 | + | 2.71146i | 0.136092 | + | 0.0988767i | ||||
\(753\) | 4.58627 | + | 14.1151i | 0.167133 | + | 0.514382i | ||||
\(754\) | −0.348032 | − | 1.07113i | −0.0126746 | − | 0.0390084i | ||||
\(755\) | −15.1328 | − | 10.9946i | −0.550739 | − | 0.400135i | ||||
\(756\) | 0.124275 | − | 0.0902908i | 0.00451982 | − | 0.00328384i | ||||
\(757\) | 10.7801 | − | 33.1778i | 0.391810 | − | 1.20587i | −0.539609 | − | 0.841916i | \(-0.681428\pi\) |
0.931418 | − | 0.363950i | \(-0.118572\pi\) | |||||||
\(758\) | −28.7780 | −1.04527 | ||||||||
\(759\) | 4.34659 | + | 7.40813i | 0.157771 | + | 0.268898i | ||||
\(760\) | −1.46460 | −0.0531268 | ||||||||
\(761\) | 0.659597 | − | 2.03003i | 0.0239104 | − | 0.0735886i | −0.938389 | − | 0.345580i | \(-0.887682\pi\) |
0.962300 | + | 0.271991i | \(0.0876822\pi\) | |||||||
\(762\) | 6.17174 | − | 4.48403i | 0.223579 | − | 0.162439i | ||||
\(763\) | 3.59732 | + | 2.61361i | 0.130232 | + | 0.0946190i | ||||
\(764\) | −2.84453 | − | 8.75455i | −0.102911 | − | 0.316729i | ||||
\(765\) | 0.626026 | + | 1.92671i | 0.0226340 | + | 0.0696603i | ||||
\(766\) | −5.97632 | − | 4.34205i | −0.215933 | − | 0.156885i | ||||
\(767\) | −3.09542 | + | 2.24895i | −0.111769 | + | 0.0812050i | ||||
\(768\) | 3.59637 | − | 11.0685i | 0.129773 | − | 0.399400i | ||||
\(769\) | −44.3782 | −1.60032 | −0.800160 | − | 0.599787i | \(-0.795252\pi\) | ||||
−0.800160 | + | 0.599787i | \(0.795252\pi\) | |||||||
\(770\) | 0.862765 | − | 0.971808i | 0.0310919 | − | 0.0350215i | ||||
\(771\) | 22.7267 | 0.818481 | ||||||||
\(772\) | −2.72047 | + | 8.37273i | −0.0979117 | + | 0.301341i | ||||
\(773\) | −16.8434 | + | 12.2375i | −0.605815 | + | 0.440151i | −0.847938 | − | 0.530095i | \(-0.822156\pi\) |
0.242123 | + | 0.970246i | \(0.422156\pi\) | |||||||
\(774\) | 0.818503 | + | 0.594677i | 0.0294205 | + | 0.0213752i | ||||
\(775\) | −1.88257 | − | 5.79396i | −0.0676240 | − | 0.208125i | ||||
\(776\) | 7.05849 | + | 21.7238i | 0.253385 | + | 0.779839i | ||||
\(777\) | 0.918890 | + | 0.667613i | 0.0329650 | + | 0.0239505i | ||||
\(778\) | −0.977922 | + | 0.710502i | −0.0350602 | + | 0.0254727i | ||||
\(779\) | −0.442188 | + | 1.36091i | −0.0158430 | + | 0.0487598i | ||||
\(780\) | −0.576580 | −0.0206449 | ||||||||
\(781\) | 43.1625 | − | 9.49110i | 1.54448 | − | 0.339618i | ||||
\(782\) | −5.79304 | −0.207159 | ||||||||
\(783\) | 0.286472 | − | 0.881671i | 0.0102377 | − | 0.0315083i | ||||
\(784\) | −14.9757 | + | 10.8805i | −0.534848 | + | 0.388590i | ||||
\(785\) | 2.58881 | + | 1.88088i | 0.0923985 | + | 0.0671315i | ||||
\(786\) | 2.01453 | + | 6.20010i | 0.0718560 | + | 0.221150i | ||||
\(787\) | −4.95349 | − | 15.2453i | −0.176573 | − | 0.543435i | 0.823129 | − | 0.567854i | \(-0.192226\pi\) |
−0.999702 | + | 0.0244192i | \(0.992226\pi\) | |||||||
\(788\) | −4.19627 | − | 3.04877i | −0.149486 | − | 0.108608i | ||||
\(789\) | −11.2748 | + | 8.19164i | −0.401394 | + | 0.291630i | ||||
\(790\) | −2.18110 | + | 6.71273i | −0.0776000 | + | 0.238828i | ||||
\(791\) | 3.17680 | 0.112954 | ||||||||
\(792\) | −9.93290 | + | 2.18417i | −0.352950 | + | 0.0776111i | ||||
\(793\) | 7.09316 | 0.251885 | ||||||||
\(794\) | 5.59347 | − | 17.2149i | 0.198505 | − | 0.610935i | ||||
\(795\) | 0.134375 | − | 0.0976291i | 0.00476579 | − | 0.00346255i | ||||
\(796\) | −6.87294 | − | 4.99349i | −0.243605 | − | 0.176989i | ||||
\(797\) | 7.63984 | + | 23.5130i | 0.270617 | + | 0.832873i | 0.990346 | + | 0.138618i | \(0.0442660\pi\) |
−0.719729 | + | 0.694255i | \(0.755734\pi\) | |||||||
\(798\) | 0.0477718 | + | 0.147026i | 0.00169110 | + | 0.00520468i | ||||
\(799\) | −2.56662 | − | 1.86476i | −0.0908005 | − | 0.0659705i | ||||
\(800\) | −8.83003 | + | 6.41539i | −0.312189 | + | 0.226818i | ||||
\(801\) | 3.36795 | − | 10.3655i | 0.119001 | − | 0.366246i | ||||
\(802\) | 14.1940 | 0.501208 | ||||||||
\(803\) | −4.59429 | + | 5.17495i | −0.162129 | + | 0.182620i | ||||
\(804\) | −1.07250 | −0.0378242 | ||||||||
\(805\) | −0.258100 | + | 0.794349i | −0.00909682 | + | 0.0279971i | ||||
\(806\) | −1.58012 | + | 1.14802i | −0.0556572 | + | 0.0404373i | ||||
\(807\) | −21.5440 | − | 15.6526i | −0.758385 | − | 0.550999i | ||||
\(808\) | 11.4406 | + | 35.2104i | 0.402478 | + | 1.23870i | ||||
\(809\) | 5.13051 | + | 15.7901i | 0.180379 | + | 0.555150i | 0.999838 | − | 0.0179876i | \(-0.00572594\pi\) |
−0.819459 | + | 0.573138i | \(0.805726\pi\) | |||||||
\(810\) | 1.08140 | + | 0.785686i | 0.0379967 | + | 0.0276062i | ||||
\(811\) | 32.5622 | − | 23.6578i | 1.14341 | − | 0.830739i | 0.155823 | − | 0.987785i | \(-0.450197\pi\) |
0.987591 | + | 0.157046i | \(0.0501971\pi\) | |||||||
\(812\) | −0.0440055 | + | 0.135435i | −0.00154429 | + | 0.00475284i | ||||
\(813\) | 24.6747 | 0.865379 | ||||||||
\(814\) | −7.90096 | − | 13.4660i | −0.276928 | − | 0.471984i | ||||
\(815\) | −14.3989 | −0.504370 | ||||||||
\(816\) | 1.52333 | − | 4.68834i | 0.0533274 | − | 0.164125i | ||||
\(817\) | 0.292467 | − | 0.212489i | 0.0102321 | − | 0.00743407i | ||||
\(818\) | −5.51990 | − | 4.01044i | −0.192999 | − | 0.140222i | ||||
\(819\) | 0.0905818 | + | 0.278782i | 0.00316519 | + | 0.00974144i | ||||
\(820\) | −0.587317 | − | 1.80758i | −0.0205100 | − | 0.0631233i | ||||
\(821\) | −33.6986 | − | 24.4835i | −1.17609 | − | 0.854480i | −0.184365 | − | 0.982858i | \(-0.559023\pi\) |
−0.991725 | + | 0.128378i | \(0.959023\pi\) | |||||||
\(822\) | 15.4165 | − | 11.2008i | 0.537714 | − | 0.390672i | ||||
\(823\) | −3.19074 | + | 9.82009i | −0.111222 | + | 0.342307i | −0.991140 | − | 0.132818i | \(-0.957597\pi\) |
0.879918 | + | 0.475125i | \(0.157597\pi\) | |||||||
\(824\) | −29.8715 | −1.04062 | ||||||||
\(825\) | 11.5171 | + | 5.03134i | 0.400974 | + | 0.175169i | ||||
\(826\) | −1.36257 | −0.0474097 | ||||||||
\(827\) | −1.89950 | + | 5.84606i | −0.0660520 | + | 0.203287i | −0.978635 | − | 0.205603i | \(-0.934084\pi\) |
0.912583 | + | 0.408891i | \(0.134084\pi\) | |||||||
\(828\) | 1.09793 | − | 0.797696i | 0.0381559 | − | 0.0277219i | ||||
\(829\) | −33.9470 | − | 24.6639i | −1.17903 | − | 0.856614i | −0.186967 | − | 0.982366i | \(-0.559866\pi\) |
−0.992062 | + | 0.125752i | \(0.959866\pi\) | |||||||
\(830\) | −0.335683 | − | 1.03313i | −0.0116517 | − | 0.0358604i | ||||
\(831\) | −5.54792 | − | 17.0747i | −0.192455 | − | 0.592316i | ||||
\(832\) | 7.16286 | + | 5.20412i | 0.248327 | + | 0.180420i | ||||
\(833\) | 10.2993 | − | 7.48289i | 0.356850 | − | 0.259267i | ||||
\(834\) | −0.668912 | + | 2.05870i | −0.0231625 | + | 0.0712869i | ||||
\(835\) | 0.338226 | 0.0117048 | ||||||||
\(836\) | −0.0736055 | + | 0.750894i | −0.00254570 | + | 0.0259702i | ||||
\(837\) | −1.60766 | −0.0555689 | ||||||||
\(838\) | −5.04277 | + | 15.5201i | −0.174200 | + | 0.536132i | ||||
\(839\) | −0.157655 | + | 0.114543i | −0.00544287 | + | 0.00395447i | −0.590503 | − | 0.807035i | \(-0.701071\pi\) |
0.585060 | + | 0.810990i | \(0.301071\pi\) | |||||||
\(840\) | −0.800099 | − | 0.581306i | −0.0276060 | − | 0.0200570i | ||||
\(841\) | −8.69592 | − | 26.7633i | −0.299859 | − | 0.922872i | ||||
\(842\) | 7.77077 | + | 23.9160i | 0.267798 | + | 0.824198i | ||||
\(843\) | −8.66202 | − | 6.29332i | −0.298336 | − | 0.216754i | ||||
\(844\) | −2.91787 | + | 2.11996i | −0.100437 | + | 0.0729720i | ||||
\(845\) | 0.339998 | − | 1.04640i | 0.0116963 | − | 0.0359974i | ||||
\(846\) | −2.09327 | −0.0719680 | ||||||||
\(847\) | −2.19093 | − | 2.36574i | −0.0752813 | − | 0.0812876i | ||||
\(848\) | −0.404169 | −0.0138792 | ||||||||
\(849\) | −7.81008 | + | 24.0370i | −0.268041 | + | 0.824946i | ||||
\(850\) | −6.85782 | + | 4.98250i | −0.235221 | + | 0.170898i | ||||
\(851\) | 8.11816 | + | 5.89819i | 0.278287 | + | 0.202187i | ||||
\(852\) | −2.15780 | − | 6.64104i | −0.0739252 | − | 0.227518i | ||||
\(853\) | 3.04620 | + | 9.37523i | 0.104300 | + | 0.321002i | 0.989565 | − | 0.144084i | \(-0.0460235\pi\) |
−0.885266 | + | 0.465086i | \(0.846024\pi\) | |||||||
\(854\) | 2.04359 | + | 1.48475i | 0.0699301 | + | 0.0508072i | ||||
\(855\) | 0.386406 | − | 0.280741i | 0.0132148 | − | 0.00960113i | ||||
\(856\) | 9.47654 | − | 29.1658i | 0.323902 | − | 0.996866i | ||||
\(857\) | −54.3048 | −1.85502 | −0.927508 | − | 0.373804i | \(-0.878053\pi\) | ||||
−0.927508 | + | 0.373804i | \(0.878053\pi\) | |||||||
\(858\) | 0.393087 | − | 4.01012i | 0.0134198 | − | 0.136903i | ||||
\(859\) | 30.5300 | 1.04167 | 0.520835 | − | 0.853658i | \(-0.325621\pi\) | ||||
0.520835 | + | 0.853658i | \(0.325621\pi\) | |||||||
\(860\) | −0.148377 | + | 0.456658i | −0.00505962 | + | 0.0155719i | ||||
\(861\) | −0.781713 | + | 0.567948i | −0.0266407 | + | 0.0193556i | ||||
\(862\) | 28.1651 | + | 20.4631i | 0.959307 | + | 0.696977i | ||||
\(863\) | −11.5664 | − | 35.5977i | −0.393724 | − | 1.21176i | −0.929950 | − | 0.367685i | \(-0.880151\pi\) |
0.536226 | − | 0.844074i | \(-0.319849\pi\) | |||||||
\(864\) | 0.890045 | + | 2.73928i | 0.0302799 | + | 0.0931921i | ||||
\(865\) | −15.3349 | − | 11.1415i | −0.521404 | − | 0.378822i | ||||
\(866\) | −0.405116 | + | 0.294334i | −0.0137664 | + | 0.0100019i | ||||
\(867\) | 4.20564 | − | 12.9436i | 0.142831 | − | 0.439589i | ||||
\(868\) | 0.246956 | 0.00838222 | ||||||||
\(869\) | 16.0484 | + | 7.01085i | 0.544404 | + | 0.237827i | ||||
\(870\) | −1.23917 | −0.0420118 | ||||||||
\(871\) | 0.632433 | − | 1.94643i | 0.0214292 | − | 0.0659522i | ||||
\(872\) | −37.6317 | + | 27.3411i | −1.27437 | + | 0.925885i | ||||
\(873\) | −6.02634 | − | 4.37839i | −0.203961 | − | 0.148186i | ||||
\(874\) | 0.422051 | + | 1.29894i | 0.0142761 | + | 0.0439373i | ||||
\(875\) | 0.875983 | + | 2.69600i | 0.0296136 | + | 0.0911414i | ||||
\(876\) | 0.884584 | + | 0.642688i | 0.0298873 | + | 0.0217144i | ||||
\(877\) | 34.4343 | − | 25.0180i | 1.16277 | − | 0.844798i | 0.172640 | − | 0.984985i | \(-0.444770\pi\) |
0.990125 | + | 0.140187i | \(0.0447703\pi\) | |||||||
\(878\) | 8.93931 | − | 27.5124i | 0.301687 | − | 0.928497i | ||||
\(879\) | 19.6700 | 0.663453 | ||||||||
\(880\) | 4.94408 | + | 8.42647i | 0.166665 | + | 0.284056i | ||||
\(881\) | 21.9666 | 0.740075 | 0.370038 | − | 0.929017i | \(-0.379345\pi\) | ||||
0.370038 | + | 0.929017i | \(0.379345\pi\) | |||||||
\(882\) | 2.59569 | − | 7.98873i | 0.0874016 | − | 0.268994i | ||||
\(883\) | 15.5157 | − | 11.2728i | 0.522146 | − | 0.379361i | −0.295266 | − | 0.955415i | \(-0.595408\pi\) |
0.817412 | + | 0.576054i | \(0.195408\pi\) | |||||||
\(884\) | −0.780621 | − | 0.567154i | −0.0262551 | − | 0.0190755i | ||||
\(885\) | 1.30088 | + | 4.00370i | 0.0437286 | + | 0.134583i | ||||
\(886\) | −11.9505 | − | 36.7798i | −0.401485 | − | 1.23564i | ||||
\(887\) | 8.74505 | + | 6.35365i | 0.293630 | + | 0.213335i | 0.724841 | − | 0.688917i | \(-0.241913\pi\) |
−0.431211 | + | 0.902251i | \(0.641913\pi\) | |||||||
\(888\) | −9.61254 | + | 6.98392i | −0.322576 | + | 0.234365i | ||||
\(889\) | 0.568793 | − | 1.75056i | 0.0190767 | − | 0.0587121i | ||||
\(890\) | −14.5685 | −0.488336 | ||||||||
\(891\) | 2.20193 | − | 2.48022i | 0.0737674 | − | 0.0830907i | ||||
\(892\) | −2.45403 | −0.0821669 | ||||||||
\(893\) | −0.231134 | + | 0.711356i | −0.00773459 | + | 0.0238046i | ||||
\(894\) | 18.6310 | − | 13.5362i | 0.623115 | − | 0.452720i | ||||
\(895\) | 4.75521 | + | 3.45486i | 0.158949 | + | 0.115483i | ||||
\(896\) | 0.452536 | + | 1.39276i | 0.0151182 | + | 0.0465289i | ||||
\(897\) | 0.800268 | + | 2.46297i | 0.0267202 | + | 0.0822362i | ||||
\(898\) | −27.8002 | − | 20.1980i | −0.927705 | − | 0.674017i | ||||
\(899\) | 1.20574 | − | 0.876019i | 0.0402135 | − | 0.0292169i | ||||
\(900\) | 0.613653 | − | 1.88863i | 0.0204551 | − | 0.0629544i | ||||
\(901\) | 0.277961 | 0.00926021 | ||||||||
\(902\) | 12.9721 | − | 2.85247i | 0.431924 | − | 0.0949768i | ||||
\(903\) | 0.244109 | 0.00812345 | ||||||||
\(904\) | −10.2695 | + | 31.6061i | −0.341557 | + | 1.05120i | ||||
\(905\) | −13.0430 | + | 9.47626i | −0.433562 | + | 0.315002i | ||||
\(906\) | −16.7095 | − | 12.1401i | −0.555135 | − | 0.403329i | ||||
\(907\) | 4.06015 | + | 12.4959i | 0.134815 | + | 0.414918i | 0.995561 | − | 0.0941163i | \(-0.0300025\pi\) |
−0.860746 | + | 0.509035i | \(0.830003\pi\) | |||||||
\(908\) | −1.95715 | − | 6.02348i | −0.0649502 | − | 0.199896i | ||||
\(909\) | −9.76763 | − | 7.09660i | −0.323972 | − | 0.235379i | ||||
\(910\) | 0.316991 | − | 0.230307i | 0.0105082 | − | 0.00763462i | ||||
\(911\) | 2.41370 | − | 7.42860i | 0.0799694 | − | 0.246120i | −0.903077 | − | 0.429479i | \(-0.858697\pi\) |
0.983046 | + | 0.183359i | \(0.0586971\pi\) | |||||||
\(912\) | −1.16222 | −0.0384851 | ||||||||
\(913\) | −2.63245 | + | 0.578855i | −0.0871213 | + | 0.0191573i | ||||
\(914\) | 38.8667 | 1.28560 | ||||||||
\(915\) | 2.41166 | − | 7.42232i | 0.0797269 | − | 0.245374i | ||||
\(916\) | −6.03010 | + | 4.38113i | −0.199240 | + | 0.144756i | ||||
\(917\) | 1.27254 | + | 0.924555i | 0.0420230 | + | 0.0305315i | ||||
\(918\) | 0.691251 | + | 2.12745i | 0.0228147 | + | 0.0702164i | ||||
\(919\) | −14.5141 | − | 44.6699i | −0.478777 | − | 1.47352i | −0.840796 | − | 0.541353i | \(-0.817912\pi\) |
0.362019 | − | 0.932171i | \(-0.382088\pi\) | |||||||
\(920\) | −7.06867 | − | 5.13569i | −0.233047 | − | 0.169319i | ||||
\(921\) | −4.04550 | + | 2.93923i | −0.133304 | + | 0.0968509i | ||||
\(922\) | 10.6102 | − | 32.6548i | 0.349427 | − | 1.07543i | ||||
\(923\) | 13.3249 | 0.438594 | ||||||||
\(924\) | −0.338242 | + | 0.380992i | −0.0111274 | + | 0.0125337i | ||||
\(925\) | 14.6832 | 0.482782 | ||||||||
\(926\) | 10.4825 | − | 32.2619i | 0.344477 | − | 1.06019i | ||||
\(927\) | 7.88099 | − | 5.72587i | 0.258846 | − | 0.188062i | ||||
\(928\) | −2.16017 | − | 1.56945i | −0.0709109 | − | 0.0515198i | ||||
\(929\) | 11.3544 | + | 34.9453i | 0.372527 | + | 1.14652i | 0.945132 | + | 0.326688i | \(0.105933\pi\) |
−0.572606 | + | 0.819831i | \(0.694067\pi\) | |||||||
\(930\) | 0.664060 | + | 2.04377i | 0.0217754 | + | 0.0670178i | ||||
\(931\) | −2.42820 | − | 1.76419i | −0.0795811 | − | 0.0578191i | ||||
\(932\) | −5.89273 | + | 4.28132i | −0.193023 | + | 0.140239i | ||||
\(933\) | 3.90896 | − | 12.0306i | 0.127974 | − | 0.393863i | ||||
\(934\) | −25.1980 | −0.824503 | ||||||||
\(935\) | −3.40021 | − | 5.79516i | −0.111199 | − | 0.189522i | ||||
\(936\) | −3.06643 | −0.100230 | ||||||||
\(937\) | 8.90160 | − | 27.3963i | 0.290803 | − | 0.894999i | −0.693796 | − | 0.720171i | \(-0.744063\pi\) |
0.984599 | − | 0.174828i | \(-0.0559368\pi\) | |||||||
\(938\) | 0.589638 | − | 0.428397i | 0.0192524 | − | 0.0139877i | ||||
\(939\) | 19.6785 | + | 14.2973i | 0.642184 | + | 0.466574i | ||||
\(940\) | −0.306994 | − | 0.944829i | −0.0100130 | − | 0.0308169i | ||||
\(941\) | −2.42044 | − | 7.44936i | −0.0789042 | − | 0.242842i | 0.903822 | − | 0.427909i | \(-0.140750\pi\) |
−0.982726 | + | 0.185067i | \(0.940750\pi\) | |||||||
\(942\) | 2.85853 | + | 2.07685i | 0.0931361 | + | 0.0676673i | ||||
\(943\) | −6.90624 | + | 5.01768i | −0.224898 | + | 0.163398i | ||||
\(944\) | 3.16549 | − | 9.74237i | 0.103028 | − | 0.317087i | ||||
\(945\) | 0.322517 | 0.0104915 | ||||||||
\(946\) | −3.07490 | − | 1.34329i | −0.0999738 | − | 0.0436743i | ||||
\(947\) | 15.1344 | 0.491802 | 0.245901 | − | 0.969295i | \(-0.420916\pi\) | ||||
0.245901 | + | 0.969295i | \(0.420916\pi\) | |||||||
\(948\) | 0.855087 | − | 2.63169i | 0.0277719 | − | 0.0854732i | ||||
\(949\) | −1.68800 | + | 1.22641i | −0.0547949 | + | 0.0398108i | ||||
\(950\) | 1.61682 | + | 1.17469i | 0.0524567 | + | 0.0381120i | ||||
\(951\) | 7.15074 | + | 22.0077i | 0.231879 | + | 0.713649i | ||||
\(952\) | −0.511436 | − | 1.57404i | −0.0165757 | − | 0.0510149i | ||||
\(953\) | 3.10223 | + | 2.25390i | 0.100491 | + | 0.0730109i | 0.636896 | − | 0.770950i | \(-0.280218\pi\) |
−0.536405 | + | 0.843961i | \(0.680218\pi\) | |||||||
\(954\) | 0.148375 | − | 0.107801i | 0.00480383 | − | 0.00349019i | ||||
\(955\) | 5.97224 | − | 18.3807i | 0.193257 | − | 0.594785i | ||||
\(956\) | 1.30555 | 0.0422245 | ||||||||
\(957\) | −0.299952 | + | 3.05999i | −0.00969607 | + | 0.0989154i | ||||
\(958\) | 42.7151 | 1.38006 | ||||||||
\(959\) | 1.42080 | − | 4.37278i | 0.0458801 | − | 0.141204i | ||||
\(960\) | 7.88097 | − | 5.72586i | 0.254357 | − | 0.184801i | ||||
\(961\) | 22.9886 | + | 16.7022i | 0.741567 | + | 0.538780i | ||||
\(962\) | −1.45468 | − | 4.47704i | −0.0469007 | − | 0.144345i | ||||
\(963\) | 3.09041 | + | 9.51131i | 0.0995871 | + | 0.306498i | ||||
\(964\) | 2.60675 | + | 1.89392i | 0.0839578 | + | 0.0609989i | ||||
\(965\) | −14.9536 | + | 10.8644i | −0.481374 | + | 0.349739i | ||||
\(966\) | −0.284991 | + | 0.877112i | −0.00916944 | + | 0.0282206i | ||||
\(967\) | 20.1852 | 0.649112 | 0.324556 | − | 0.945866i | \(-0.394785\pi\) | ||||
0.324556 | + | 0.945866i | \(0.394785\pi\) | |||||||
\(968\) | 30.6193 | − | 14.1501i | 0.984141 | − | 0.454801i | ||||
\(969\) | 0.799299 | 0.0256772 | ||||||||
\(970\) | −3.07687 | + | 9.46963i | −0.0987923 | + | 0.304051i | ||||
\(971\) | 31.3414 | − | 22.7709i | 1.00579 | − | 0.730752i | 0.0424710 | − | 0.999098i | \(-0.486477\pi\) |
0.963323 | + | 0.268346i | \(0.0864770\pi\) | |||||||
\(972\) | −0.423959 | − | 0.308024i | −0.0135985 | − | 0.00987987i | ||||
\(973\) | 0.161395 | + | 0.496723i | 0.00517409 | + | 0.0159242i | ||||
\(974\) | −13.2912 | − | 40.9062i | −0.425879 | − | 1.31072i | ||||
\(975\) | 3.06572 | + | 2.22738i | 0.0981816 | + | 0.0713331i | ||||
\(976\) | −15.3636 | + | 11.1623i | −0.491778 | + | 0.357298i | ||||
\(977\) | 13.5230 | − | 41.6195i | 0.432639 | − | 1.33153i | −0.462847 | − | 0.886438i | \(-0.653172\pi\) |
0.895486 | − | 0.445089i | \(-0.146828\pi\) | |||||||
\(978\) | −15.8991 | −0.508396 | ||||||||
\(979\) | −3.52642 | + | 35.9752i | −0.112705 | + | 1.14977i | ||||
\(980\) | 3.98652 | 0.127345 | ||||||||
\(981\) | 4.68754 | − | 14.4268i | 0.149662 | − | 0.460612i | ||||
\(982\) | −41.6672 | + | 30.2730i | −1.32965 | + | 0.966049i | ||||
\(983\) | −8.66083 | − | 6.29246i | −0.276238 | − | 0.200698i | 0.441037 | − | 0.897489i | \(-0.354611\pi\) |
−0.717275 | + | 0.696790i | \(0.754611\pi\) | |||||||
\(984\) | −3.12354 | − | 9.61327i | −0.0995748 | − | 0.306460i | ||||
\(985\) | −3.36524 | − | 10.3571i | −0.107225 | − | 0.330006i | ||||
\(986\) | −1.67769 | − | 1.21891i | −0.0534285 | − | 0.0388181i | ||||
\(987\) | −0.408605 | + | 0.296869i | −0.0130061 | + | 0.00944945i | ||||
\(988\) | −0.0702977 | + | 0.216354i | −0.00223647 | + | 0.00688314i | ||||
\(989\) | 2.15665 | 0.0685773 | ||||||||
\(990\) | −4.06256 | − | 1.77476i | −0.129117 | − | 0.0564055i | ||||
\(991\) | 23.4821 | 0.745935 | 0.372967 | − | 0.927844i | \(-0.378340\pi\) | ||||
0.372967 | + | 0.927844i | \(0.378340\pi\) | |||||||
\(992\) | −1.43089 | + | 4.40383i | −0.0454308 | + | 0.139822i | ||||
\(993\) | −12.5191 | + | 9.09566i | −0.397282 | + | 0.288642i | ||||
\(994\) | 3.83899 | + | 2.78919i | 0.121765 | + | 0.0884678i | ||||
\(995\) | −5.51182 | − | 16.9636i | −0.174736 | − | 0.537784i | ||||
\(996\) | 0.131603 | + | 0.405032i | 0.00417000 | + | 0.0128339i | ||||
\(997\) | 2.47208 | + | 1.79607i | 0.0782915 | + | 0.0568821i | 0.626243 | − | 0.779628i | \(-0.284592\pi\) |
−0.547951 | + | 0.836510i | \(0.684592\pi\) | |||||||
\(998\) | 26.4781 | − | 19.2375i | 0.838151 | − | 0.608952i | ||||
\(999\) | 1.19737 | − | 3.68514i | 0.0378832 | − | 0.116593i |
(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 | 429.2.n.b.196.1 | ✓ | 20 | |
11.4 | even | 5 | 4719.2.a.bn.1.3 | 10 | |||
11.5 | even | 5 | inner | 429.2.n.b.313.1 | yes | 20 | |
11.7 | odd | 10 | 4719.2.a.bi.1.8 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.n.b.196.1 | ✓ | 20 | 1.1 | even | 1 | trivial | |
429.2.n.b.313.1 | yes | 20 | 11.5 | even | 5 | inner | |
4719.2.a.bi.1.8 | 10 | 11.7 | odd | 10 | |||
4719.2.a.bn.1.3 | 10 | 11.4 | even | 5 |