Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [110,2,Mod(31,110)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(110, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("110.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 110 = 2 \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 110.g (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: | \(0.878354422234\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{5})\) |
Coefficient field: | 8.0.682515625.5 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 3x^{7} + 5x^{6} + 2x^{5} + 19x^{4} + 28x^{3} + 100x^{2} + 88x + 121 \) |
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 | 71.2 | ||
Root | \(-0.390899 - 1.20306i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 110.71 |
Dual form | 110.2.g.c.31.2 |
$q$-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 \(\left(\mathbb{Z}/110\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(101\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.309017 | − | 0.951057i | −0.218508 | − | 0.672499i | ||||
\(3\) | 0.214371 | + | 0.155750i | 0.123767 | + | 0.0899221i | 0.647947 | − | 0.761686i | \(-0.275628\pi\) |
−0.524180 | + | 0.851608i | \(0.675628\pi\) | |||||||
\(4\) | −0.809017 | + | 0.587785i | −0.404508 | + | 0.293893i | ||||
\(5\) | 0.309017 | − | 0.951057i | 0.138197 | − | 0.425325i | ||||
\(6\) | 0.0818824 | − | 0.252008i | 0.0334284 | − | 0.102882i | ||||
\(7\) | 3.48828 | − | 2.53438i | 1.31845 | − | 0.957907i | 0.318496 | − | 0.947924i | \(-0.396822\pi\) |
0.999950 | − | 0.00998336i | \(-0.00317786\pi\) | |||||||
\(8\) | 0.809017 | + | 0.587785i | 0.286031 | + | 0.207813i | ||||
\(9\) | −0.905354 | − | 2.78639i | −0.301785 | − | 0.928798i | ||||
\(10\) | −1.00000 | −0.316228 | ||||||||
\(11\) | −1.42705 | + | 2.99391i | −0.430272 | + | 0.902699i | ||||
\(12\) | −0.264977 | −0.0764923 | ||||||||
\(13\) | 0.374078 | + | 1.15129i | 0.103750 | + | 0.319311i | 0.989435 | − | 0.144976i | \(-0.0463105\pi\) |
−0.885685 | + | 0.464287i | \(0.846311\pi\) | |||||||
\(14\) | −3.48828 | − | 2.53438i | −0.932282 | − | 0.677343i | ||||
\(15\) | 0.214371 | − | 0.155750i | 0.0553504 | − | 0.0402144i | ||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | −2.21437 | + | 6.81513i | −0.537064 | + | 1.65291i | 0.202083 | + | 0.979368i | \(0.435229\pi\) |
−0.739147 | + | 0.673544i | \(0.764771\pi\) | |||||||
\(18\) | −2.37025 | + | 1.72209i | −0.558673 | + | 0.405899i | ||||
\(19\) | −2.19992 | − | 1.59833i | −0.504695 | − | 0.366683i | 0.306112 | − | 0.951995i | \(-0.400972\pi\) |
−0.810808 | + | 0.585313i | \(0.800972\pi\) | |||||||
\(20\) | 0.309017 | + | 0.951057i | 0.0690983 | + | 0.212663i | ||||
\(21\) | 1.14252 | 0.249317 | ||||||||
\(22\) | 3.28837 | + | 0.432036i | 0.701082 | + | 0.0921103i | ||||
\(23\) | 7.01787 | 1.46333 | 0.731663 | − | 0.681666i | \(-0.238744\pi\) | ||||
0.731663 | + | 0.681666i | \(0.238744\pi\) | |||||||
\(24\) | 0.0818824 | + | 0.252008i | 0.0167142 | + | 0.0514410i | ||||
\(25\) | −0.809017 | − | 0.587785i | −0.161803 | − | 0.117557i | ||||
\(26\) | 0.979348 | − | 0.711538i | 0.192066 | − | 0.139544i | ||||
\(27\) | 0.485545 | − | 1.49436i | 0.0934433 | − | 0.287589i | ||||
\(28\) | −1.33240 | + | 4.10072i | −0.251801 | + | 0.774963i | ||||
\(29\) | −8.54782 | + | 6.21036i | −1.58729 | + | 1.15323i | −0.679609 | + | 0.733575i | \(0.737850\pi\) |
−0.907682 | + | 0.419659i | \(0.862150\pi\) | |||||||
\(30\) | −0.214371 | − | 0.155750i | −0.0391386 | − | 0.0284359i | ||||
\(31\) | 1.11908 | + | 3.44417i | 0.200993 | + | 0.618591i | 0.999854 | + | 0.0170766i | \(0.00543592\pi\) |
−0.798862 | + | 0.601515i | \(0.794564\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −0.772220 | + | 0.419546i | −0.134426 | + | 0.0730336i | ||||
\(34\) | 7.16586 | 1.22893 | ||||||||
\(35\) | −1.33240 | − | 4.10072i | −0.225218 | − | 0.693148i | ||||
\(36\) | 2.37025 | + | 1.72209i | 0.395041 | + | 0.287014i | ||||
\(37\) | −1.71437 | + | 1.24556i | −0.281841 | + | 0.204769i | −0.719720 | − | 0.694265i | \(-0.755730\pi\) |
0.437879 | + | 0.899034i | \(0.355730\pi\) | |||||||
\(38\) | −0.840293 | + | 2.58616i | −0.136314 | + | 0.419530i | ||||
\(39\) | −0.0991220 | + | 0.305066i | −0.0158722 | + | 0.0488497i | ||||
\(40\) | 0.809017 | − | 0.587785i | 0.127917 | − | 0.0929370i | ||||
\(41\) | −2.22713 | − | 1.61811i | −0.347820 | − | 0.252706i | 0.400134 | − | 0.916457i | \(-0.368964\pi\) |
−0.747954 | + | 0.663751i | \(0.768964\pi\) | |||||||
\(42\) | −0.353057 | − | 1.08660i | −0.0544779 | − | 0.167666i | ||||
\(43\) | 6.59251 | 1.00535 | 0.502674 | − | 0.864476i | \(-0.332350\pi\) | ||||
0.502674 | + | 0.864476i | \(0.332350\pi\) | |||||||
\(44\) | −0.605270 | − | 3.26093i | −0.0912480 | − | 0.491603i | ||||
\(45\) | −2.92979 | −0.436747 | ||||||||
\(46\) | −2.16864 | − | 6.67439i | −0.319749 | − | 0.984085i | ||||
\(47\) | −4.64416 | − | 3.37418i | −0.677420 | − | 0.492175i | 0.195081 | − | 0.980787i | \(-0.437503\pi\) |
−0.872501 | + | 0.488613i | \(0.837503\pi\) | |||||||
\(48\) | 0.214371 | − | 0.155750i | 0.0309418 | − | 0.0224805i | ||||
\(49\) | 3.58188 | − | 11.0239i | 0.511697 | − | 1.57484i | ||||
\(50\) | −0.309017 | + | 0.951057i | −0.0437016 | + | 0.134500i | ||||
\(51\) | −1.53615 | + | 1.11608i | −0.215104 | + | 0.156282i | ||||
\(52\) | −0.979348 | − | 0.711538i | −0.135811 | − | 0.0986726i | ||||
\(53\) | −1.81558 | − | 5.58779i | −0.249390 | − | 0.767542i | −0.994883 | − | 0.101030i | \(-0.967786\pi\) |
0.745494 | − | 0.666512i | \(-0.232214\pi\) | |||||||
\(54\) | −1.57126 | −0.213821 | ||||||||
\(55\) | 2.40640 | + | 2.28238i | 0.324479 | + | 0.307756i | ||||
\(56\) | 4.31175 | 0.576182 | ||||||||
\(57\) | −0.222659 | − | 0.685272i | −0.0294918 | − | 0.0907666i | ||||
\(58\) | 8.54782 | + | 6.21036i | 1.12238 | + | 0.815460i | ||||
\(59\) | 4.77117 | − | 3.46646i | 0.621154 | − | 0.451295i | −0.232170 | − | 0.972675i | \(-0.574583\pi\) |
0.853324 | + | 0.521380i | \(0.174583\pi\) | |||||||
\(60\) | −0.0818824 | + | 0.252008i | −0.0105710 | + | 0.0325341i | ||||
\(61\) | −1.89879 | + | 5.84387i | −0.243115 | + | 0.748231i | 0.752826 | + | 0.658220i | \(0.228690\pi\) |
−0.995941 | + | 0.0900109i | \(0.971310\pi\) | |||||||
\(62\) | 2.92979 | − | 2.12861i | 0.372083 | − | 0.270334i | ||||
\(63\) | −10.2199 | − | 7.42521i | −1.28759 | − | 0.935488i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | 1.21054 | 0.150149 | ||||||||
\(66\) | 0.637641 | + | 0.604778i | 0.0784881 | + | 0.0744430i | ||||
\(67\) | −1.63381 | −0.199602 | −0.0998009 | − | 0.995007i | \(-0.531821\pi\) | ||||
−0.0998009 | + | 0.995007i | \(0.531821\pi\) | |||||||
\(68\) | −2.21437 | − | 6.81513i | −0.268532 | − | 0.826456i | ||||
\(69\) | 1.50443 | + | 1.09303i | 0.181112 | + | 0.131585i | ||||
\(70\) | −3.48828 | + | 2.53438i | −0.416929 | + | 0.302917i | ||||
\(71\) | 2.29862 | − | 7.07443i | 0.272796 | − | 0.839580i | −0.716998 | − | 0.697075i | \(-0.754484\pi\) |
0.989794 | − | 0.142505i | \(-0.0455156\pi\) | |||||||
\(72\) | 0.905354 | − | 2.78639i | 0.106697 | − | 0.328380i | ||||
\(73\) | 5.98039 | − | 4.34501i | 0.699952 | − | 0.508545i | −0.179965 | − | 0.983673i | \(-0.557598\pi\) |
0.879917 | + | 0.475128i | \(0.157598\pi\) | |||||||
\(74\) | 1.71437 | + | 1.24556i | 0.199292 | + | 0.144794i | ||||
\(75\) | −0.0818824 | − | 0.252008i | −0.00945497 | − | 0.0290994i | ||||
\(76\) | 2.71925 | 0.311919 | ||||||||
\(77\) | 2.60978 | + | 14.0603i | 0.297412 | + | 1.60232i | ||||
\(78\) | 0.320766 | 0.0363196 | ||||||||
\(79\) | 2.16376 | + | 6.65938i | 0.243443 | + | 0.749239i | 0.995889 | + | 0.0905854i | \(0.0288738\pi\) |
−0.752446 | + | 0.658654i | \(0.771126\pi\) | |||||||
\(80\) | −0.809017 | − | 0.587785i | −0.0904508 | − | 0.0657164i | ||||
\(81\) | −6.77391 | + | 4.92153i | −0.752657 | + | 0.546837i | ||||
\(82\) | −0.850690 | + | 2.61815i | −0.0939430 | + | 0.289127i | ||||
\(83\) | −0.492758 | + | 1.51655i | −0.0540872 | + | 0.166463i | −0.974451 | − | 0.224600i | \(-0.927893\pi\) |
0.920364 | + | 0.391063i | \(0.127893\pi\) | |||||||
\(84\) | −0.924315 | + | 0.671554i | −0.100851 | + | 0.0732726i | ||||
\(85\) | 5.79730 | + | 4.21198i | 0.628805 | + | 0.456854i | ||||
\(86\) | −2.03720 | − | 6.26985i | −0.219677 | − | 0.676095i | ||||
\(87\) | −2.79967 | −0.300156 | ||||||||
\(88\) | −2.91429 | + | 1.58333i | −0.310664 | + | 0.168783i | ||||
\(89\) | 1.24711 | 0.132193 | 0.0660967 | − | 0.997813i | \(-0.478945\pi\) | ||||
0.0660967 | + | 0.997813i | \(0.478945\pi\) | |||||||
\(90\) | 0.905354 | + | 2.78639i | 0.0954327 | + | 0.293712i | ||||
\(91\) | 4.22271 | + | 3.06798i | 0.442660 | + | 0.321611i | ||||
\(92\) | −5.67757 | + | 4.12500i | −0.591928 | + | 0.430061i | ||||
\(93\) | −0.296530 | + | 0.912627i | −0.0307488 | + | 0.0946350i | ||||
\(94\) | −1.77391 | + | 5.45954i | −0.182965 | + | 0.563108i | ||||
\(95\) | −2.19992 | + | 1.59833i | −0.225707 | + | 0.163985i | ||||
\(96\) | −0.214371 | − | 0.155750i | −0.0218791 | − | 0.0158961i | ||||
\(97\) | −2.13632 | − | 6.57491i | −0.216910 | − | 0.667581i | −0.999012 | − | 0.0444310i | \(-0.985853\pi\) |
0.782102 | − | 0.623150i | \(-0.214147\pi\) | |||||||
\(98\) | −11.5912 | −1.17089 | ||||||||
\(99\) | 9.63421 | + | 1.26577i | 0.968275 | + | 0.127215i | ||||
\(100\) | 1.00000 | 0.100000 | ||||||||
\(101\) | 1.00000 | + | 3.07768i | 0.0995037 | + | 0.306241i | 0.988401 | − | 0.151865i | \(-0.0485280\pi\) |
−0.888897 | + | 0.458106i | \(0.848528\pi\) | |||||||
\(102\) | 1.53615 | + | 1.11608i | 0.152102 | + | 0.110508i | ||||
\(103\) | −4.67307 | + | 3.39518i | −0.460451 | + | 0.334537i | −0.793708 | − | 0.608299i | \(-0.791852\pi\) |
0.333257 | + | 0.942836i | \(0.391852\pi\) | |||||||
\(104\) | −0.374078 | + | 1.15129i | −0.0366813 | + | 0.112894i | ||||
\(105\) | 0.353057 | − | 1.08660i | 0.0344548 | − | 0.106041i | ||||
\(106\) | −4.75326 | + | 3.45344i | −0.461677 | + | 0.335428i | ||||
\(107\) | −0.138686 | − | 0.100761i | −0.0134073 | − | 0.00974095i | 0.581061 | − | 0.813860i | \(-0.302638\pi\) |
−0.594469 | + | 0.804119i | \(0.702638\pi\) | |||||||
\(108\) | 0.485545 | + | 1.49436i | 0.0467216 | + | 0.143794i | ||||
\(109\) | −2.32753 | −0.222937 | −0.111468 | − | 0.993768i | \(-0.535555\pi\) | ||||
−0.111468 | + | 0.993768i | \(0.535555\pi\) | |||||||
\(110\) | 1.42705 | − | 2.99391i | 0.136064 | − | 0.285459i | ||||
\(111\) | −0.561508 | −0.0532959 | ||||||||
\(112\) | −1.33240 | − | 4.10072i | −0.125900 | − | 0.387482i | ||||
\(113\) | −3.48555 | − | 2.53240i | −0.327893 | − | 0.238228i | 0.411643 | − | 0.911345i | \(-0.364955\pi\) |
−0.739536 | + | 0.673117i | \(0.764955\pi\) | |||||||
\(114\) | −0.582928 | + | 0.423522i | −0.0545962 | + | 0.0396664i | ||||
\(115\) | 2.16864 | − | 6.67439i | 0.202227 | − | 0.622390i | ||||
\(116\) | 3.26498 | − | 10.0486i | 0.303146 | − | 0.932986i | ||||
\(117\) | 2.86928 | − | 2.08466i | 0.265265 | − | 0.192726i | ||||
\(118\) | −4.77117 | − | 3.46646i | −0.439222 | − | 0.319114i | ||||
\(119\) | 9.54782 | + | 29.3852i | 0.875247 | + | 2.69373i | ||||
\(120\) | 0.264977 | 0.0241890 | ||||||||
\(121\) | −6.92705 | − | 8.54494i | −0.629732 | − | 0.776813i | ||||
\(122\) | 6.14461 | 0.556307 | ||||||||
\(123\) | −0.225413 | − | 0.693751i | −0.0203248 | − | 0.0625534i | ||||
\(124\) | −2.92979 | − | 2.12861i | −0.263103 | − | 0.191155i | ||||
\(125\) | −0.809017 | + | 0.587785i | −0.0723607 | + | 0.0525731i | ||||
\(126\) | −3.90366 | + | 12.0142i | −0.347766 | + | 1.07031i | ||||
\(127\) | 3.34855 | − | 10.3058i | 0.297136 | − | 0.914490i | −0.685360 | − | 0.728205i | \(-0.740355\pi\) |
0.982496 | − | 0.186285i | \(-0.0596449\pi\) | |||||||
\(128\) | 0.809017 | − | 0.587785i | 0.0715077 | − | 0.0519534i | ||||
\(129\) | 1.41324 | + | 1.02678i | 0.124429 | + | 0.0904030i | ||||
\(130\) | −0.374078 | − | 1.15129i | −0.0328088 | − | 0.100975i | ||||
\(131\) | 5.78518 | 0.505454 | 0.252727 | − | 0.967538i | \(-0.418673\pi\) | ||||
0.252727 | + | 0.967538i | \(0.418673\pi\) | |||||||
\(132\) | 0.378136 | − | 0.793319i | 0.0329125 | − | 0.0690496i | ||||
\(133\) | −11.7247 | −1.01666 | ||||||||
\(134\) | 0.504875 | + | 1.55385i | 0.0436146 | + | 0.134232i | ||||
\(135\) | −1.27117 | − | 0.923562i | −0.109405 | − | 0.0794876i | ||||
\(136\) | −5.79730 | + | 4.21198i | −0.497114 | + | 0.361175i | ||||
\(137\) | 2.67310 | − | 8.22695i | 0.228378 | − | 0.702876i | −0.769553 | − | 0.638583i | \(-0.779521\pi\) |
0.997931 | − | 0.0642926i | \(-0.0204791\pi\) | |||||||
\(138\) | 0.574640 | − | 1.76856i | 0.0489166 | − | 0.150550i | ||||
\(139\) | −10.3135 | + | 7.49318i | −0.874777 | + | 0.635563i | −0.931865 | − | 0.362806i | \(-0.881819\pi\) |
0.0570872 | + | 0.998369i | \(0.481819\pi\) | |||||||
\(140\) | 3.48828 | + | 2.53438i | 0.294814 | + | 0.214195i | ||||
\(141\) | −0.470046 | − | 1.44665i | −0.0395850 | − | 0.121830i | ||||
\(142\) | −7.43849 | −0.624224 | ||||||||
\(143\) | −3.98070 | − | 0.522997i | −0.332883 | − | 0.0437352i | ||||
\(144\) | −2.92979 | −0.244149 | ||||||||
\(145\) | 3.26498 | + | 10.0486i | 0.271142 | + | 0.834488i | ||||
\(146\) | −5.98039 | − | 4.34501i | −0.494941 | − | 0.359596i | ||||
\(147\) | 2.48482 | − | 1.80533i | 0.204945 | − | 0.148901i | ||||
\(148\) | 0.654831 | − | 2.01536i | 0.0538268 | − | 0.165662i | ||||
\(149\) | 2.04339 | − | 6.28892i | 0.167401 | − | 0.515208i | −0.831804 | − | 0.555070i | \(-0.812692\pi\) |
0.999205 | + | 0.0398613i | \(0.0126916\pi\) | |||||||
\(150\) | −0.214371 | + | 0.155750i | −0.0175033 | + | 0.0127169i | ||||
\(151\) | −16.9064 | − | 12.2832i | −1.37582 | − | 0.999591i | −0.997257 | − | 0.0740153i | \(-0.976419\pi\) |
−0.378562 | − | 0.925576i | \(-0.623581\pi\) | |||||||
\(152\) | −0.840293 | − | 2.58616i | −0.0681568 | − | 0.209765i | ||||
\(153\) | 20.9944 | 1.69730 | ||||||||
\(154\) | 12.5657 | − | 6.82692i | 1.01257 | − | 0.550129i | ||||
\(155\) | 3.62142 | 0.290879 | ||||||||
\(156\) | −0.0991220 | − | 0.305066i | −0.00793611 | − | 0.0244248i | ||||
\(157\) | 16.3657 | + | 11.8904i | 1.30613 | + | 0.948957i | 0.999995 | − | 0.00303254i | \(-0.000965289\pi\) |
0.306131 | + | 0.951989i | \(0.400965\pi\) | |||||||
\(158\) | 5.66481 | − | 4.11573i | 0.450668 | − | 0.327430i | ||||
\(159\) | 0.481088 | − | 1.48064i | 0.0381528 | − | 0.117422i | ||||
\(160\) | −0.309017 | + | 0.951057i | −0.0244299 | + | 0.0751876i | ||||
\(161\) | 24.4803 | − | 17.7860i | 1.92932 | − | 1.40173i | ||||
\(162\) | 6.77391 | + | 4.92153i | 0.532209 | + | 0.386672i | ||||
\(163\) | −2.49721 | − | 7.68564i | −0.195597 | − | 0.601986i | −0.999969 | − | 0.00785979i | \(-0.997498\pi\) |
0.804372 | − | 0.594126i | \(-0.202502\pi\) | |||||||
\(164\) | 2.75289 | 0.214965 | ||||||||
\(165\) | 0.160383 | + | 0.864071i | 0.0124858 | + | 0.0672679i | ||||
\(166\) | 1.59460 | 0.123765 | ||||||||
\(167\) | 5.33751 | + | 16.4272i | 0.413029 | + | 1.27117i | 0.914002 | + | 0.405709i | \(0.132975\pi\) |
−0.500973 | + | 0.865463i | \(0.667025\pi\) | |||||||
\(168\) | 0.924315 | + | 0.671554i | 0.0713124 | + | 0.0518115i | ||||
\(169\) | 9.33168 | − | 6.77986i | 0.717822 | − | 0.521528i | ||||
\(170\) | 2.21437 | − | 6.81513i | 0.169835 | − | 0.522697i | ||||
\(171\) | −2.46188 | + | 7.57689i | −0.188265 | + | 0.579419i | ||||
\(172\) | −5.33345 | + | 3.87498i | −0.406672 | + | 0.295464i | ||||
\(173\) | −11.6286 | − | 8.44868i | −0.884107 | − | 0.642341i | 0.0502280 | − | 0.998738i | \(-0.484005\pi\) |
−0.934335 | + | 0.356397i | \(0.884005\pi\) | |||||||
\(174\) | 0.865144 | + | 2.66264i | 0.0655864 | + | 0.201854i | ||||
\(175\) | −4.31175 | −0.325938 | ||||||||
\(176\) | 2.40640 | + | 2.28238i | 0.181389 | + | 0.172041i | ||||
\(177\) | 1.56270 | 0.117460 | ||||||||
\(178\) | −0.385378 | − | 1.18607i | −0.0288853 | − | 0.0888999i | ||||
\(179\) | −15.2533 | − | 11.0822i | −1.14008 | − | 0.828320i | −0.152953 | − | 0.988233i | \(-0.548878\pi\) |
−0.987131 | + | 0.159914i | \(0.948878\pi\) | |||||||
\(180\) | 2.37025 | − | 1.72209i | 0.176668 | − | 0.128357i | ||||
\(181\) | −4.04887 | + | 12.4611i | −0.300950 | + | 0.926228i | 0.680208 | + | 0.733019i | \(0.261890\pi\) |
−0.981158 | + | 0.193209i | \(0.938110\pi\) | |||||||
\(182\) | 1.61293 | − | 4.96409i | 0.119558 | − | 0.367963i | ||||
\(183\) | −1.31723 | + | 0.957020i | −0.0973721 | + | 0.0707450i | ||||
\(184\) | 5.67757 | + | 4.12500i | 0.418556 | + | 0.304099i | ||||
\(185\) | 0.654831 | + | 2.01536i | 0.0481442 | + | 0.148173i | ||||
\(186\) | 0.959592 | 0.0703607 | ||||||||
\(187\) | −17.2439 | − | 16.3552i | −1.26100 | − | 1.19601i | ||||
\(188\) | 5.74050 | 0.418669 | ||||||||
\(189\) | −2.09355 | − | 6.44329i | −0.152283 | − | 0.468680i | ||||
\(190\) | 2.19992 | + | 1.59833i | 0.159599 | + | 0.115955i | ||||
\(191\) | 9.11908 | − | 6.62540i | 0.659833 | − | 0.479397i | −0.206773 | − | 0.978389i | \(-0.566296\pi\) |
0.866607 | + | 0.498992i | \(0.166296\pi\) | |||||||
\(192\) | −0.0818824 | + | 0.252008i | −0.00590936 | + | 0.0181871i | ||||
\(193\) | 2.14590 | − | 6.60440i | 0.154465 | − | 0.475395i | −0.843641 | − | 0.536907i | \(-0.819592\pi\) |
0.998106 | + | 0.0615126i | \(0.0195924\pi\) | |||||||
\(194\) | −5.59295 | + | 4.06352i | −0.401551 | + | 0.291744i | ||||
\(195\) | 0.259505 | + | 0.188541i | 0.0185835 | + | 0.0135017i | ||||
\(196\) | 3.58188 | + | 11.0239i | 0.255849 | + | 0.787421i | ||||
\(197\) | −13.4389 | −0.957485 | −0.478743 | − | 0.877955i | \(-0.658907\pi\) | ||||
−0.478743 | + | 0.877955i | \(0.658907\pi\) | |||||||
\(198\) | −1.77331 | − | 9.55382i | −0.126024 | − | 0.678961i | ||||
\(199\) | −19.4427 | −1.37825 | −0.689127 | − | 0.724640i | \(-0.742006\pi\) | ||||
−0.689127 | + | 0.724640i | \(0.742006\pi\) | |||||||
\(200\) | −0.309017 | − | 0.951057i | −0.0218508 | − | 0.0672499i | ||||
\(201\) | −0.350242 | − | 0.254465i | −0.0247041 | − | 0.0179486i | ||||
\(202\) | 2.61803 | − | 1.90211i | 0.184204 | − | 0.133832i | ||||
\(203\) | −14.0778 | + | 43.3269i | −0.988066 | + | 3.04095i | ||||
\(204\) | 0.586758 | − | 1.80585i | 0.0410813 | − | 0.126435i | ||||
\(205\) | −2.22713 | + | 1.61811i | −0.155550 | + | 0.113014i | ||||
\(206\) | 4.67307 | + | 3.39518i | 0.325588 | + | 0.236554i | ||||
\(207\) | −6.35365 | − | 19.5545i | −0.441609 | − | 1.35913i | ||||
\(208\) | 1.21054 | 0.0839359 | ||||||||
\(209\) | 7.92467 | − | 4.30546i | 0.548161 | − | 0.297815i | ||||
\(210\) | −1.14252 | −0.0788411 | ||||||||
\(211\) | −0.728826 | − | 2.24309i | −0.0501744 | − | 0.154421i | 0.922830 | − | 0.385207i | \(-0.125870\pi\) |
−0.973004 | + | 0.230786i | \(0.925870\pi\) | |||||||
\(212\) | 4.75326 | + | 3.45344i | 0.326455 | + | 0.237184i | ||||
\(213\) | 1.59460 | − | 1.15854i | 0.109260 | − | 0.0793820i | ||||
\(214\) | −0.0529733 | + | 0.163035i | −0.00362118 | + | 0.0111448i | ||||
\(215\) | 2.03720 | − | 6.26985i | 0.138936 | − | 0.427600i | ||||
\(216\) | 1.27117 | − | 0.923562i | 0.0864925 | − | 0.0628405i | ||||
\(217\) | 12.6325 | + | 9.17806i | 0.857551 | + | 0.623047i | ||||
\(218\) | 0.719246 | + | 2.21361i | 0.0487135 | + | 0.149925i | ||||
\(219\) | 1.95876 | 0.132361 | ||||||||
\(220\) | −3.28837 | − | 0.432036i | −0.221702 | − | 0.0291278i | ||||
\(221\) | −8.67456 | −0.583514 | ||||||||
\(222\) | 0.173515 | + | 0.534025i | 0.0116456 | + | 0.0358414i | ||||
\(223\) | 11.8090 | + | 8.57978i | 0.790792 | + | 0.574544i | 0.908198 | − | 0.418540i | \(-0.137458\pi\) |
−0.117406 | + | 0.993084i | \(0.537458\pi\) | |||||||
\(224\) | −3.48828 | + | 2.53438i | −0.233071 | + | 0.169336i | ||||
\(225\) | −0.905354 | + | 2.78639i | −0.0603569 | + | 0.185760i | ||||
\(226\) | −1.33136 | + | 4.09750i | −0.0885607 | + | 0.272562i | ||||
\(227\) | −2.41871 | + | 1.75730i | −0.160536 | + | 0.116636i | −0.665153 | − | 0.746707i | \(-0.731634\pi\) |
0.504617 | + | 0.863343i | \(0.331634\pi\) | |||||||
\(228\) | 0.582928 | + | 0.423522i | 0.0386053 | + | 0.0280484i | ||||
\(229\) | 0.487913 | + | 1.50164i | 0.0322422 | + | 0.0992312i | 0.965883 | − | 0.258981i | \(-0.0833866\pi\) |
−0.933640 | + | 0.358212i | \(0.883387\pi\) | |||||||
\(230\) | −7.01787 | −0.462744 | ||||||||
\(231\) | −1.63043 | + | 3.42060i | −0.107274 | + | 0.225059i | ||||
\(232\) | −10.5657 | −0.693671 | ||||||||
\(233\) | 0.156276 | + | 0.480967i | 0.0102380 | + | 0.0315092i | 0.956045 | − | 0.293220i | \(-0.0947268\pi\) |
−0.945807 | + | 0.324729i | \(0.894727\pi\) | |||||||
\(234\) | −2.86928 | − | 2.08466i | −0.187571 | − | 0.136278i | ||||
\(235\) | −4.64416 | + | 3.37418i | −0.302951 | + | 0.220107i | ||||
\(236\) | −1.82243 | + | 5.60885i | −0.118630 | + | 0.365105i | ||||
\(237\) | −0.573348 | + | 1.76458i | −0.0372430 | + | 0.114622i | ||||
\(238\) | 24.9965 | − | 18.1610i | 1.62028 | − | 1.17721i | ||||
\(239\) | 13.5444 | + | 9.84061i | 0.876117 | + | 0.636536i | 0.932221 | − | 0.361889i | \(-0.117868\pi\) |
−0.0561044 | + | 0.998425i | \(0.517868\pi\) | |||||||
\(240\) | −0.0818824 | − | 0.252008i | −0.00528549 | − | 0.0162671i | ||||
\(241\) | −15.2947 | −0.985217 | −0.492609 | − | 0.870251i | \(-0.663957\pi\) | ||||
−0.492609 | + | 0.870251i | \(0.663957\pi\) | |||||||
\(242\) | −5.98614 | + | 9.22855i | −0.384804 | + | 0.593234i | ||||
\(243\) | −6.93243 | −0.444716 | ||||||||
\(244\) | −1.89879 | − | 5.84387i | −0.121557 | − | 0.374115i | ||||
\(245\) | −9.37749 | − | 6.81315i | −0.599106 | − | 0.435276i | ||||
\(246\) | −0.590140 | + | 0.428762i | −0.0376259 | + | 0.0273368i | ||||
\(247\) | 1.01721 | − | 3.13065i | 0.0647235 | − | 0.199198i | ||||
\(248\) | −1.11908 | + | 3.44417i | −0.0710616 | + | 0.218705i | ||||
\(249\) | −0.341835 | + | 0.248358i | −0.0216629 | + | 0.0157390i | ||||
\(250\) | 0.809017 | + | 0.587785i | 0.0511667 | + | 0.0371748i | ||||
\(251\) | −0.132071 | − | 0.406472i | −0.00833623 | − | 0.0256563i | 0.946802 | − | 0.321817i | \(-0.104294\pi\) |
−0.955138 | + | 0.296161i | \(0.904294\pi\) | |||||||
\(252\) | 12.6325 | 0.795774 | ||||||||
\(253\) | −10.0149 | + | 21.0109i | −0.629628 | + | 1.32094i | ||||
\(254\) | −10.8361 | −0.679920 | ||||||||
\(255\) | 0.586758 | + | 1.80585i | 0.0367442 | + | 0.113087i | ||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −14.4614 | + | 10.5068i | −0.902076 | + | 0.655397i | −0.938998 | − | 0.343921i | \(-0.888245\pi\) |
0.0369221 | + | 0.999318i | \(0.488245\pi\) | |||||||
\(258\) | 0.539811 | − | 1.66137i | 0.0336071 | − | 0.103432i | ||||
\(259\) | −2.82347 | + | 8.68975i | −0.175442 | + | 0.539955i | ||||
\(260\) | −0.979348 | + | 0.711538i | −0.0607366 | + | 0.0441277i | ||||
\(261\) | 25.0433 | + | 18.1950i | 1.55014 | + | 1.12624i | ||||
\(262\) | −1.78772 | − | 5.50203i | −0.110446 | − | 0.339917i | ||||
\(263\) | 14.4977 | 0.893964 | 0.446982 | − | 0.894543i | \(-0.352499\pi\) | ||||
0.446982 | + | 0.894543i | \(0.352499\pi\) | |||||||
\(264\) | −0.871342 | − | 0.114480i | −0.0536274 | − | 0.00704573i | ||||
\(265\) | −5.87535 | −0.360920 | ||||||||
\(266\) | 3.62314 | + | 11.1509i | 0.222149 | + | 0.683704i | ||||
\(267\) | 0.267344 | + | 0.194237i | 0.0163612 | + | 0.0118871i | ||||
\(268\) | 1.32178 | − | 0.960330i | 0.0807406 | − | 0.0586615i | ||||
\(269\) | 8.63326 | − | 26.5704i | 0.526379 | − | 1.62003i | −0.235194 | − | 0.971948i | \(-0.575573\pi\) |
0.761573 | − | 0.648079i | \(-0.224427\pi\) | |||||||
\(270\) | −0.485545 | + | 1.49436i | −0.0295494 | + | 0.0909436i | ||||
\(271\) | −8.40531 | + | 6.10681i | −0.510586 | + | 0.370962i | −0.813046 | − | 0.582200i | \(-0.802192\pi\) |
0.302460 | + | 0.953162i | \(0.402192\pi\) | |||||||
\(272\) | 5.79730 | + | 4.21198i | 0.351513 | + | 0.255389i | ||||
\(273\) | 0.427390 | + | 1.31537i | 0.0258668 | + | 0.0796098i | ||||
\(274\) | −8.65033 | −0.522585 | ||||||||
\(275\) | 2.91429 | − | 1.58333i | 0.175738 | − | 0.0954783i | ||||
\(276\) | −1.85957 | −0.111933 | ||||||||
\(277\) | −0.194167 | − | 0.597585i | −0.0116664 | − | 0.0359054i | 0.945054 | − | 0.326915i | \(-0.106009\pi\) |
−0.956720 | + | 0.291009i | \(0.906009\pi\) | |||||||
\(278\) | 10.3135 | + | 7.49318i | 0.618561 | + | 0.449411i | ||||
\(279\) | 8.58365 | − | 6.23639i | 0.513890 | − | 0.373363i | ||||
\(280\) | 1.33240 | − | 4.10072i | 0.0796264 | − | 0.245065i | ||||
\(281\) | 9.30347 | − | 28.6331i | 0.554998 | − | 1.70811i | −0.140950 | − | 0.990017i | \(-0.545016\pi\) |
0.695948 | − | 0.718092i | \(-0.254984\pi\) | |||||||
\(282\) | −1.23060 | + | 0.894080i | −0.0732809 | + | 0.0532417i | ||||
\(283\) | 13.0288 | + | 9.46599i | 0.774482 | + | 0.562694i | 0.903318 | − | 0.428972i | \(-0.141124\pi\) |
−0.128836 | + | 0.991666i | \(0.541124\pi\) | |||||||
\(284\) | 2.29862 | + | 7.07443i | 0.136398 | + | 0.419790i | ||||
\(285\) | −0.720538 | −0.0426810 | ||||||||
\(286\) | 0.732705 | + | 3.94749i | 0.0433257 | + | 0.233420i | ||||
\(287\) | −11.8698 | −0.700651 | ||||||||
\(288\) | 0.905354 | + | 2.78639i | 0.0533485 | + | 0.164190i | ||||
\(289\) | −27.7893 | − | 20.1901i | −1.63467 | − | 1.18765i | ||||
\(290\) | 8.54782 | − | 6.21036i | 0.501945 | − | 0.364685i | ||||
\(291\) | 0.566076 | − | 1.74220i | 0.0331839 | − | 0.102130i | ||||
\(292\) | −2.28431 | + | 7.03037i | −0.133679 | + | 0.411422i | ||||
\(293\) | 3.21992 | − | 2.33941i | 0.188110 | − | 0.136670i | −0.489745 | − | 0.871866i | \(-0.662910\pi\) |
0.677854 | + | 0.735196i | \(0.262910\pi\) | |||||||
\(294\) | −2.48482 | − | 1.80533i | −0.144918 | − | 0.105289i | ||||
\(295\) | −1.82243 | − | 5.60885i | −0.106106 | − | 0.326560i | ||||
\(296\) | −2.11908 | −0.123169 | ||||||||
\(297\) | 3.78107 | + | 3.58620i | 0.219400 | + | 0.208093i | ||||
\(298\) | −6.61256 | −0.383055 | ||||||||
\(299\) | 2.62523 | + | 8.07962i | 0.151821 | + | 0.467256i | ||||
\(300\) | 0.214371 | + | 0.155750i | 0.0123767 | + | 0.00899221i | ||||
\(301\) | 22.9965 | − | 16.7079i | 1.32550 | − | 0.963030i | ||||
\(302\) | −6.45765 | + | 19.8746i | −0.371596 | + | 1.14366i | ||||
\(303\) | −0.264977 | + | 0.815516i | −0.0152225 | + | 0.0468502i | ||||
\(304\) | −2.19992 | + | 1.59833i | −0.126174 | + | 0.0916707i | ||||
\(305\) | 4.97109 | + | 3.61171i | 0.284644 | + | 0.206806i | ||||
\(306\) | −6.48764 | − | 19.9669i | −0.370873 | − | 1.14143i | ||||
\(307\) | 17.6055 | 1.00480 | 0.502401 | − | 0.864635i | \(-0.332450\pi\) | ||||
0.502401 | + | 0.864635i | \(0.332450\pi\) | |||||||
\(308\) | −10.3758 | − | 9.84104i | −0.591216 | − | 0.560746i | ||||
\(309\) | −1.53057 | −0.0870710 | ||||||||
\(310\) | −1.11908 | − | 3.44417i | −0.0635594 | − | 0.195616i | ||||
\(311\) | 18.3117 | + | 13.3042i | 1.03836 | + | 0.754412i | 0.969964 | − | 0.243247i | \(-0.0782124\pi\) |
0.0683942 | + | 0.997658i | \(0.478212\pi\) | |||||||
\(312\) | −0.259505 | + | 0.188541i | −0.0146916 | + | 0.0106741i | ||||
\(313\) | −3.89659 | + | 11.9925i | −0.220248 | + | 0.677855i | 0.778491 | + | 0.627656i | \(0.215986\pi\) |
−0.998739 | + | 0.0501989i | \(0.984014\pi\) | |||||||
\(314\) | 6.25115 | − | 19.2391i | 0.352773 | − | 1.08572i | ||||
\(315\) | −10.2199 | + | 7.42521i | −0.575827 | + | 0.418363i | ||||
\(316\) | −5.66481 | − | 4.11573i | −0.318670 | − | 0.231528i | ||||
\(317\) | 8.11722 | + | 24.9822i | 0.455908 | + | 1.40314i | 0.870065 | + | 0.492936i | \(0.164076\pi\) |
−0.414157 | + | 0.910205i | \(0.635924\pi\) | |||||||
\(318\) | −1.55683 | −0.0873029 | ||||||||
\(319\) | −6.39510 | − | 34.4539i | −0.358057 | − | 1.92905i | ||||
\(320\) | 1.00000 | 0.0559017 | ||||||||
\(321\) | −0.0140367 | − | 0.0432005i | −0.000783453 | − | 0.00241122i | ||||
\(322\) | −24.4803 | − | 17.7860i | −1.36423 | − | 0.991174i | ||||
\(323\) | 15.7643 | − | 11.4534i | 0.877148 | − | 0.637285i | ||||
\(324\) | 2.58740 | − | 7.96321i | 0.143745 | − | 0.442401i | ||||
\(325\) | 0.374078 | − | 1.15129i | 0.0207501 | − | 0.0638622i | ||||
\(326\) | −6.53779 | + | 4.74999i | −0.362095 | + | 0.263077i | ||||
\(327\) | −0.498955 | − | 0.362512i | −0.0275923 | − | 0.0200470i | ||||
\(328\) | −0.850690 | − | 2.61815i | −0.0469715 | − | 0.144563i | ||||
\(329\) | −24.7516 | −1.36460 | ||||||||
\(330\) | 0.772220 | − | 0.419546i | 0.0425093 | − | 0.0230952i | ||||
\(331\) | 12.7406 | 0.700284 | 0.350142 | − | 0.936697i | \(-0.386133\pi\) | ||||
0.350142 | + | 0.936697i | \(0.386133\pi\) | |||||||
\(332\) | −0.492758 | − | 1.51655i | −0.0270436 | − | 0.0832316i | ||||
\(333\) | 5.02274 | + | 3.64924i | 0.275245 | + | 0.199977i | ||||
\(334\) | 13.9738 | − | 10.1525i | 0.764611 | − | 0.555522i | ||||
\(335\) | −0.504875 | + | 1.55385i | −0.0275843 | + | 0.0848957i | ||||
\(336\) | 0.353057 | − | 1.08660i | 0.0192608 | − | 0.0592787i | ||||
\(337\) | 15.4174 | − | 11.2014i | 0.839841 | − | 0.610180i | −0.0824856 | − | 0.996592i | \(-0.526286\pi\) |
0.922326 | + | 0.386412i | \(0.126286\pi\) | |||||||
\(338\) | −9.33168 | − | 6.77986i | −0.507576 | − | 0.368776i | ||||
\(339\) | −0.352780 | − | 1.08574i | −0.0191604 | − | 0.0589696i | ||||
\(340\) | −7.16586 | −0.388623 | ||||||||
\(341\) | −11.9085 | − | 1.56458i | −0.644884 | − | 0.0847268i | ||||
\(342\) | 7.96681 | 0.430796 | ||||||||
\(343\) | −6.11736 | − | 18.8273i | −0.330306 | − | 1.01658i | ||||
\(344\) | 5.33345 | + | 3.87498i | 0.287560 | + | 0.208925i | ||||
\(345\) | 1.50443 | − | 1.09303i | 0.0809956 | − | 0.0588468i | ||||
\(346\) | −4.44173 | + | 13.6703i | −0.238789 | + | 0.734917i | ||||
\(347\) | 5.81663 | − | 17.9017i | 0.312253 | − | 0.961016i | −0.664617 | − | 0.747184i | \(-0.731405\pi\) |
0.976870 | − | 0.213832i | \(-0.0685945\pi\) | |||||||
\(348\) | 2.26498 | − | 1.64560i | 0.121416 | − | 0.0882135i | ||||
\(349\) | 22.0200 | + | 15.9984i | 1.17870 | + | 0.856377i | 0.992025 | − | 0.126045i | \(-0.0402283\pi\) |
0.186677 | + | 0.982421i | \(0.440228\pi\) | |||||||
\(350\) | 1.33240 | + | 4.10072i | 0.0712200 | + | 0.219193i | ||||
\(351\) | 1.90207 | 0.101525 | ||||||||
\(352\) | 1.42705 | − | 2.99391i | 0.0760621 | − | 0.159576i | ||||
\(353\) | 25.6380 | 1.36457 | 0.682286 | − | 0.731085i | \(-0.260986\pi\) | ||||
0.682286 | + | 0.731085i | \(0.260986\pi\) | |||||||
\(354\) | −0.482901 | − | 1.48622i | −0.0256659 | − | 0.0789916i | ||||
\(355\) | −6.01787 | − | 4.37224i | −0.319395 | − | 0.232054i | ||||
\(356\) | −1.00893 | + | 0.733033i | −0.0534734 | + | 0.0388507i | ||||
\(357\) | −2.52995 | + | 7.78640i | −0.133899 | + | 0.412100i | ||||
\(358\) | −5.82624 | + | 17.9313i | −0.307926 | + | 0.947700i | ||||
\(359\) | −7.82857 | + | 5.68779i | −0.413176 | + | 0.300190i | −0.774886 | − | 0.632100i | \(-0.782193\pi\) |
0.361710 | + | 0.932291i | \(0.382193\pi\) | |||||||
\(360\) | −2.37025 | − | 1.72209i | −0.124923 | − | 0.0907619i | ||||
\(361\) | −3.58636 | − | 11.0377i | −0.188756 | − | 0.580930i | ||||
\(362\) | 13.1024 | 0.688647 | ||||||||
\(363\) | −0.154088 | − | 2.91067i | −0.00808751 | − | 0.152771i | ||||
\(364\) | −5.21955 | −0.273579 | ||||||||
\(365\) | −2.28431 | − | 7.03037i | −0.119566 | − | 0.367987i | ||||
\(366\) | 1.31723 | + | 0.957020i | 0.0688525 | + | 0.0500243i | ||||
\(367\) | 16.7495 | − | 12.1692i | 0.874317 | − | 0.635229i | −0.0574247 | − | 0.998350i | \(-0.518289\pi\) |
0.931742 | + | 0.363121i | \(0.118289\pi\) | |||||||
\(368\) | 2.16864 | − | 6.67439i | 0.113048 | − | 0.347927i | ||||
\(369\) | −2.49234 | + | 7.67063i | −0.129746 | + | 0.399317i | ||||
\(370\) | 1.71437 | − | 1.24556i | 0.0891259 | − | 0.0647538i | ||||
\(371\) | −20.4949 | − | 14.8904i | −1.06404 | − | 0.773071i | ||||
\(372\) | −0.296530 | − | 0.912627i | −0.0153744 | − | 0.0473175i | ||||
\(373\) | −16.1463 | −0.836021 | −0.418011 | − | 0.908442i | \(-0.637273\pi\) | ||||
−0.418011 | + | 0.908442i | \(0.637273\pi\) | |||||||
\(374\) | −10.2260 | + | 21.4540i | −0.528776 | + | 1.10936i | ||||
\(375\) | −0.264977 | −0.0136834 | ||||||||
\(376\) | −1.77391 | − | 5.45954i | −0.0914825 | − | 0.281554i | ||||
\(377\) | −10.3475 | − | 7.51789i | −0.532923 | − | 0.387191i | ||||
\(378\) | −5.48099 | + | 3.98217i | −0.281912 | + | 0.204821i | ||||
\(379\) | −0.0709811 | + | 0.218457i | −0.00364605 | + | 0.0112214i | −0.952863 | − | 0.303401i | \(-0.901878\pi\) |
0.949217 | + | 0.314622i | \(0.101878\pi\) | |||||||
\(380\) | 0.840293 | − | 2.58616i | 0.0431061 | − | 0.132667i | ||||
\(381\) | 2.32295 | − | 1.68772i | 0.119009 | − | 0.0864648i | ||||
\(382\) | −9.11908 | − | 6.62540i | −0.466573 | − | 0.338985i | ||||
\(383\) | 4.02403 | + | 12.3847i | 0.205619 | + | 0.632829i | 0.999687 | + | 0.0250010i | \(0.00795889\pi\) |
−0.794069 | + | 0.607828i | \(0.792041\pi\) | |||||||
\(384\) | 0.264977 | 0.0135221 | ||||||||
\(385\) | 14.1786 | + | 1.86283i | 0.722609 | + | 0.0949387i | ||||
\(386\) | −6.94427 | −0.353454 | ||||||||
\(387\) | −5.96855 | − | 18.3693i | −0.303399 | − | 0.933765i | ||||
\(388\) | 5.59295 | + | 4.06352i | 0.283939 | + | 0.206294i | ||||
\(389\) | −23.9676 | + | 17.4135i | −1.21521 | + | 0.882899i | −0.995693 | − | 0.0927106i | \(-0.970447\pi\) |
−0.219513 | + | 0.975610i | \(0.570447\pi\) | |||||||
\(390\) | 0.0991220 | − | 0.305066i | 0.00501924 | − | 0.0154476i | ||||
\(391\) | −15.5402 | + | 47.8277i | −0.785900 | + | 2.41875i | ||||
\(392\) | 9.37749 | − | 6.81315i | 0.473635 | − | 0.344116i | ||||
\(393\) | 1.24018 | + | 0.901040i | 0.0625586 | + | 0.0454515i | ||||
\(394\) | 4.15286 | + | 12.7812i | 0.209218 | + | 0.643908i | ||||
\(395\) | 7.00209 | 0.352313 | ||||||||
\(396\) | −8.53824 | + | 4.63882i | −0.429063 | + | 0.233109i | ||||
\(397\) | 2.18665 | 0.109745 | 0.0548724 | − | 0.998493i | \(-0.482525\pi\) | ||||
0.0548724 | + | 0.998493i | \(0.482525\pi\) | |||||||
\(398\) | 6.00812 | + | 18.4911i | 0.301160 | + | 0.926874i | ||||
\(399\) | −2.51344 | − | 1.82612i | −0.125829 | − | 0.0914204i | ||||
\(400\) | −0.809017 | + | 0.587785i | −0.0404508 | + | 0.0293893i | ||||
\(401\) | −4.04638 | + | 12.4535i | −0.202066 | + | 0.621896i | 0.797755 | + | 0.602982i | \(0.206021\pi\) |
−0.999821 | + | 0.0189143i | \(0.993979\pi\) | |||||||
\(402\) | −0.133780 | + | 0.411734i | −0.00667236 | + | 0.0205354i | ||||
\(403\) | −3.54663 | + | 2.57678i | −0.176670 | + | 0.128358i | ||||
\(404\) | −2.61803 | − | 1.90211i | −0.130252 | − | 0.0946337i | ||||
\(405\) | 2.58740 | + | 7.96321i | 0.128569 | + | 0.395695i | ||||
\(406\) | 45.5566 | 2.26094 | ||||||||
\(407\) | −1.28262 | − | 6.91016i | −0.0635769 | − | 0.342524i | ||||
\(408\) | −1.89879 | −0.0940040 | ||||||||
\(409\) | 9.40299 | + | 28.9394i | 0.464948 | + | 1.43096i | 0.859048 | + | 0.511895i | \(0.171056\pi\) |
−0.394100 | + | 0.919067i | \(0.628944\pi\) | |||||||
\(410\) | 2.22713 | + | 1.61811i | 0.109990 | + | 0.0799127i | ||||
\(411\) | 1.85438 | − | 1.34729i | 0.0914698 | − | 0.0664567i | ||||
\(412\) | 1.78495 | − | 5.49352i | 0.0879383 | − | 0.270646i | ||||
\(413\) | 7.85785 | − | 24.1840i | 0.386660 | − | 1.19002i | ||||
\(414\) | −16.6341 | + | 12.0854i | −0.817521 | + | 0.593963i | ||||
\(415\) | 1.29006 | + | 0.937281i | 0.0633264 | + | 0.0460093i | ||||
\(416\) | −0.374078 | − | 1.15129i | −0.0183407 | − | 0.0564468i | ||||
\(417\) | −3.37797 | −0.165420 | ||||||||
\(418\) | −6.54359 | − | 6.20634i | −0.320058 | − | 0.303562i | ||||
\(419\) | 26.7473 | 1.30669 | 0.653346 | − | 0.757059i | \(-0.273365\pi\) | ||||
0.653346 | + | 0.757059i | \(0.273365\pi\) | |||||||
\(420\) | 0.353057 | + | 1.08660i | 0.0172274 | + | 0.0530205i | ||||
\(421\) | 24.5477 | + | 17.8350i | 1.19638 | + | 0.869223i | 0.993924 | − | 0.110068i | \(-0.0351068\pi\) |
0.202459 | + | 0.979291i | \(0.435107\pi\) | |||||||
\(422\) | −1.90809 | + | 1.38631i | −0.0928844 | + | 0.0674844i | ||||
\(423\) | −5.19718 | + | 15.9953i | −0.252696 | + | 0.777717i | ||||
\(424\) | 1.81558 | − | 5.58779i | 0.0881725 | − | 0.271367i | ||||
\(425\) | 5.79730 | − | 4.21198i | 0.281210 | − | 0.204311i | ||||
\(426\) | −1.59460 | − | 1.15854i | −0.0772585 | − | 0.0561316i | ||||
\(427\) | 8.18710 | + | 25.1973i | 0.396202 | + | 1.21938i | ||||
\(428\) | 0.171425 | 0.00828615 | ||||||||
\(429\) | −0.771890 | − | 0.732108i | −0.0372672 | − | 0.0353465i | ||||
\(430\) | −6.59251 | −0.317919 | ||||||||
\(431\) | −3.65506 | − | 11.2491i | −0.176058 | − | 0.541851i | 0.823622 | − | 0.567139i | \(-0.191950\pi\) |
−0.999680 | + | 0.0252880i | \(0.991950\pi\) | |||||||
\(432\) | −1.27117 | − | 0.923562i | −0.0611594 | − | 0.0444349i | ||||
\(433\) | −26.3685 | + | 19.1578i | −1.26719 | + | 0.920665i | −0.999087 | − | 0.0427255i | \(-0.986396\pi\) |
−0.268100 | + | 0.963391i | \(0.586396\pi\) | |||||||
\(434\) | 4.82519 | − | 14.8504i | 0.231617 | − | 0.712843i | ||||
\(435\) | −0.865144 | + | 2.66264i | −0.0414805 | + | 0.127664i | ||||
\(436\) | 1.88301 | − | 1.36809i | 0.0901799 | − | 0.0655195i | ||||
\(437\) | −15.4387 | − | 11.2169i | −0.738534 | − | 0.536576i | ||||
\(438\) | −0.605289 | − | 1.86289i | −0.0289218 | − | 0.0890122i | ||||
\(439\) | 5.09564 | 0.243202 | 0.121601 | − | 0.992579i | \(-0.461197\pi\) | ||||
0.121601 | + | 0.992579i | \(0.461197\pi\) | |||||||
\(440\) | 0.605270 | + | 3.26093i | 0.0288551 | + | 0.155459i | ||||
\(441\) | −33.9598 | −1.61713 | ||||||||
\(442\) | 2.68059 | + | 8.25000i | 0.127503 | + | 0.392412i | ||||
\(443\) | −19.9660 | − | 14.5061i | −0.948612 | − | 0.689207i | 0.00186632 | − | 0.999998i | \(-0.499406\pi\) |
−0.950478 | + | 0.310791i | \(0.899406\pi\) | |||||||
\(444\) | 0.454269 | − | 0.330046i | 0.0215587 | − | 0.0156633i | ||||
\(445\) | 0.385378 | − | 1.18607i | 0.0182687 | − | 0.0562252i | ||||
\(446\) | 4.51065 | − | 13.8824i | 0.213586 | − | 0.657349i | ||||
\(447\) | 1.41754 | − | 1.02990i | 0.0670474 | − | 0.0487128i | ||||
\(448\) | 3.48828 | + | 2.53438i | 0.164806 | + | 0.119738i | ||||
\(449\) | −5.86154 | − | 18.0400i | −0.276623 | − | 0.851359i | −0.988785 | − | 0.149344i | \(-0.952284\pi\) |
0.712162 | − | 0.702015i | \(-0.247716\pi\) | |||||||
\(450\) | 2.92979 | 0.138111 | ||||||||
\(451\) | 8.02271 | − | 4.35873i | 0.377775 | − | 0.205245i | ||||
\(452\) | 4.30837 | 0.202649 | ||||||||
\(453\) | −1.71113 | − | 5.26632i | −0.0803959 | − | 0.247433i | ||||
\(454\) | 2.41871 | + | 1.75730i | 0.113516 | + | 0.0824741i | ||||
\(455\) | 4.22271 | − | 3.06798i | 0.197964 | − | 0.143829i | ||||
\(456\) | 0.222659 | − | 0.685272i | 0.0104269 | − | 0.0320908i | ||||
\(457\) | −8.81134 | + | 27.1185i | −0.412177 | + | 1.26855i | 0.502575 | + | 0.864534i | \(0.332386\pi\) |
−0.914752 | + | 0.404016i | \(0.867614\pi\) | |||||||
\(458\) | 1.27737 | − | 0.928065i | 0.0596877 | − | 0.0433656i | ||||
\(459\) | 9.10905 | + | 6.61811i | 0.425174 | + | 0.308907i | ||||
\(460\) | 2.16864 | + | 6.67439i | 0.101113 | + | 0.311195i | ||||
\(461\) | −35.3117 | −1.64463 | −0.822315 | − | 0.569032i | \(-0.807318\pi\) | ||||
−0.822315 | + | 0.569032i | \(0.807318\pi\) | |||||||
\(462\) | 3.75701 | + | 0.493608i | 0.174792 | + | 0.0229647i | ||||
\(463\) | 3.89605 | 0.181065 | 0.0905323 | − | 0.995894i | \(-0.471143\pi\) | ||||
0.0905323 | + | 0.995894i | \(0.471143\pi\) | |||||||
\(464\) | 3.26498 | + | 10.0486i | 0.151573 | + | 0.466493i | ||||
\(465\) | 0.776327 | + | 0.564034i | 0.0360013 | + | 0.0261565i | ||||
\(466\) | 0.409135 | − | 0.297254i | 0.0189528 | − | 0.0137700i | ||||
\(467\) | −3.66272 | + | 11.2727i | −0.169490 | + | 0.521638i | −0.999339 | − | 0.0363506i | \(-0.988427\pi\) |
0.829849 | + | 0.557989i | \(0.188427\pi\) | |||||||
\(468\) | −1.09597 | + | 3.37304i | −0.0506611 | + | 0.155919i | ||||
\(469\) | −5.69919 | + | 4.14070i | −0.263164 | + | 0.191200i | ||||
\(470\) | 4.64416 | + | 3.37418i | 0.214219 | + | 0.155639i | ||||
\(471\) | 1.65641 | + | 5.09791i | 0.0763234 | + | 0.234899i | ||||
\(472\) | 5.89750 | 0.271454 | ||||||||
\(473\) | −9.40784 | + | 19.7374i | −0.432573 | + | 0.907527i | ||||
\(474\) | 1.85539 | 0.0852211 | ||||||||
\(475\) | 0.840293 | + | 2.58616i | 0.0385553 | + | 0.118661i | ||||
\(476\) | −24.9965 | − | 18.1610i | −1.14571 | − | 0.832410i | ||||
\(477\) | −13.9260 | + | 10.1179i | −0.637629 | + | 0.463265i | ||||
\(478\) | 5.17352 | − | 15.9224i | 0.236631 | − | 0.728276i | ||||
\(479\) | 3.22158 | − | 9.91501i | 0.147198 | − | 0.453029i | −0.850089 | − | 0.526639i | \(-0.823452\pi\) |
0.997287 | + | 0.0736102i | \(0.0234521\pi\) | |||||||
\(480\) | −0.214371 | + | 0.155750i | −0.00978465 | + | 0.00710897i | ||||
\(481\) | −2.07532 | − | 1.50781i | −0.0946263 | − | 0.0687500i | ||||
\(482\) | 4.72632 | + | 14.5461i | 0.215278 | + | 0.662557i | ||||
\(483\) | 8.01803 | 0.364833 | ||||||||
\(484\) | 10.6267 | + | 2.84138i | 0.483031 | + | 0.129154i | ||||
\(485\) | −6.91327 | −0.313916 | ||||||||
\(486\) | 2.14224 | + | 6.59313i | 0.0971739 | + | 0.299071i | ||||
\(487\) | 19.9030 | + | 14.4604i | 0.901890 | + | 0.655261i | 0.938951 | − | 0.344052i | \(-0.111800\pi\) |
−0.0370611 | + | 0.999313i | \(0.511800\pi\) | |||||||
\(488\) | −4.97109 | + | 3.61171i | −0.225031 | + | 0.163494i | ||||
\(489\) | 0.661705 | − | 2.03652i | 0.0299233 | − | 0.0920945i | ||||
\(490\) | −3.58188 | + | 11.0239i | −0.161813 | + | 0.498009i | ||||
\(491\) | 18.7305 | − | 13.6085i | 0.845296 | − | 0.614143i | −0.0785493 | − | 0.996910i | \(-0.525029\pi\) |
0.923845 | + | 0.382767i | \(0.125029\pi\) | |||||||
\(492\) | 0.590140 | + | 0.428762i | 0.0266056 | + | 0.0193301i | ||||
\(493\) | −23.3964 | − | 72.0066i | −1.05372 | − | 3.24301i | ||||
\(494\) | −3.29176 | −0.148103 | ||||||||
\(495\) | 4.18096 | − | 8.77153i | 0.187920 | − | 0.394251i | ||||
\(496\) | 3.62142 | 0.162606 | ||||||||
\(497\) | −9.91108 | − | 30.5032i | −0.444573 | − | 1.36825i | ||||
\(498\) | 0.341835 | + | 0.248358i | 0.0153180 | + | 0.0111292i | ||||
\(499\) | −18.3406 | + | 13.3253i | −0.821040 | + | 0.596520i | −0.917010 | − | 0.398864i | \(-0.869405\pi\) |
0.0959702 | + | 0.995384i | \(0.469405\pi\) | |||||||
\(500\) | 0.309017 | − | 0.951057i | 0.0138197 | − | 0.0425325i | ||||
\(501\) | −1.41432 | + | 4.35282i | −0.0631871 | + | 0.194470i | ||||
\(502\) | −0.345766 | + | 0.251213i | −0.0154323 | + | 0.0112122i | ||||
\(503\) | −17.5238 | − | 12.7318i | −0.781347 | − | 0.567682i | 0.124036 | − | 0.992278i | \(-0.460416\pi\) |
−0.905383 | + | 0.424596i | \(0.860416\pi\) | |||||||
\(504\) | −3.90366 | − | 12.0142i | −0.173883 | − | 0.535157i | ||||
\(505\) | 3.23607 | 0.144003 | ||||||||
\(506\) | 23.0773 | + | 3.03197i | 1.02591 | + | 0.134787i | ||||
\(507\) | 3.05640 | 0.135740 | ||||||||
\(508\) | 3.34855 | + | 10.3058i | 0.148568 | + | 0.457245i | ||||
\(509\) | 12.4590 | + | 9.05200i | 0.552236 | + | 0.401223i | 0.828609 | − | 0.559828i | \(-0.189133\pi\) |
−0.276373 | + | 0.961050i | \(0.589133\pi\) | |||||||
\(510\) | 1.53615 | − | 1.11608i | 0.0680219 | − | 0.0494208i | ||||
\(511\) | 9.84937 | − | 30.3132i | 0.435710 | − | 1.34098i | ||||
\(512\) | −0.309017 | + | 0.951057i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | −3.45664 | + | 2.51139i | −0.152614 | + | 0.110881i | ||||
\(514\) | 14.4614 | + | 10.5068i | 0.637864 | + | 0.463436i | ||||
\(515\) | 1.78495 | + | 5.49352i | 0.0786544 | + | 0.242073i | ||||
\(516\) | −1.74686 | −0.0769014 | ||||||||
\(517\) | 16.7295 | − | 9.08909i | 0.735760 | − | 0.399738i | ||||
\(518\) | 9.13695 | 0.401454 | ||||||||
\(519\) | −1.17696 | − | 3.62230i | −0.0516627 | − | 0.159001i | ||||
\(520\) | 0.979348 | + | 0.711538i | 0.0429473 | + | 0.0312030i | ||||
\(521\) | −23.3132 | + | 16.9380i | −1.02137 | + | 0.742069i | −0.966563 | − | 0.256428i | \(-0.917454\pi\) |
−0.0548065 | + | 0.998497i | \(0.517454\pi\) | |||||||
\(522\) | 9.56569 | − | 29.4402i | 0.418679 | − | 1.28856i | ||||
\(523\) | 11.0884 | − | 34.1267i | 0.484863 | − | 1.49226i | −0.347316 | − | 0.937748i | \(-0.612907\pi\) |
0.832179 | − | 0.554507i | \(-0.187093\pi\) | |||||||
\(524\) | −4.68031 | + | 3.40044i | −0.204460 | + | 0.148549i | ||||
\(525\) | −0.924315 | − | 0.671554i | −0.0403404 | − | 0.0293090i | ||||
\(526\) | −4.48002 | − | 13.7881i | −0.195338 | − | 0.601190i | ||||
\(527\) | −25.9505 | −1.13042 | ||||||||
\(528\) | 0.160383 | + | 0.864071i | 0.00697977 | + | 0.0376039i | ||||
\(529\) | 26.2505 | 1.14132 | ||||||||
\(530\) | 1.81558 | + | 5.58779i | 0.0788639 | + | 0.242718i | ||||
\(531\) | −13.9785 | − | 10.1560i | −0.606616 | − | 0.440733i | ||||
\(532\) | 9.48550 | − | 6.89162i | 0.411248 | − | 0.298789i | ||||
\(533\) | 1.02979 | − | 3.16938i | 0.0446054 | − | 0.137281i | ||||
\(534\) | 0.102116 | − | 0.314282i | 0.00441901 | − | 0.0136003i | ||||
\(535\) | −0.138686 | + | 0.100761i | −0.00599591 | + | 0.00435629i | ||||
\(536\) | −1.32178 | − | 0.960330i | −0.0570922 | − | 0.0414799i | ||||
\(537\) | −1.54382 | − | 4.75139i | −0.0666207 | − | 0.205038i | ||||
\(538\) | −27.9378 | −1.20448 | ||||||||
\(539\) | 27.8931 | + | 26.4555i | 1.20144 | + | 1.13952i | ||||
\(540\) | 1.57126 | 0.0676162 | ||||||||
\(541\) | 2.17819 | + | 6.70378i | 0.0936477 | + | 0.288218i | 0.986899 | − | 0.161340i | \(-0.0515816\pi\) |
−0.893251 | + | 0.449558i | \(0.851582\pi\) | |||||||
\(542\) | 8.40531 | + | 6.10681i | 0.361039 | + | 0.262310i | ||||
\(543\) | −2.80878 | + | 2.04070i | −0.120536 | + | 0.0875746i | ||||
\(544\) | 2.21437 | − | 6.81513i | 0.0949404 | − | 0.292196i | ||||
\(545\) | −0.719246 | + | 2.21361i | −0.0308091 | + | 0.0948207i | ||||
\(546\) | 1.11892 | − | 0.812944i | 0.0478854 | − | 0.0347908i | ||||
\(547\) | −12.2661 | − | 8.91181i | −0.524459 | − | 0.381041i | 0.293822 | − | 0.955860i | \(-0.405073\pi\) |
−0.818281 | + | 0.574819i | \(0.805073\pi\) | |||||||
\(548\) | 2.67310 | + | 8.22695i | 0.114189 | + | 0.351438i | ||||
\(549\) | 18.0024 | 0.768323 | ||||||||
\(550\) | −2.40640 | − | 2.28238i | −0.102609 | − | 0.0973209i | ||||
\(551\) | 28.7307 | 1.22397 | ||||||||
\(552\) | 0.574640 | + | 1.76856i | 0.0244583 | + | 0.0752749i | ||||
\(553\) | 24.4253 | + | 17.7460i | 1.03867 | + | 0.754636i | ||||
\(554\) | −0.508336 | + | 0.369328i | −0.0215971 | + | 0.0156912i | ||||
\(555\) | −0.173515 | + | 0.534025i | −0.00736532 | + | 0.0226681i | ||||
\(556\) | 3.93940 | − | 12.1242i | 0.167068 | − | 0.514181i | ||||
\(557\) | 9.32902 | − | 6.77793i | 0.395283 | − | 0.287190i | −0.372334 | − | 0.928099i | \(-0.621442\pi\) |
0.767617 | + | 0.640909i | \(0.221442\pi\) | |||||||
\(558\) | −8.58365 | − | 6.23639i | −0.363375 | − | 0.264007i | ||||
\(559\) | 2.46611 | + | 7.58991i | 0.104305 | + | 0.321019i | ||||
\(560\) | −4.31175 | −0.182205 | ||||||||
\(561\) | −1.14928 | − | 6.19181i | −0.0485226 | − | 0.261418i | ||||
\(562\) | −30.1066 | −1.26997 | ||||||||
\(563\) | −10.5443 | − | 32.4519i | −0.444388 | − | 1.36769i | −0.883154 | − | 0.469084i | \(-0.844584\pi\) |
0.438766 | − | 0.898601i | \(-0.355416\pi\) | |||||||
\(564\) | 1.23060 | + | 0.894080i | 0.0518174 | + | 0.0376476i | ||||
\(565\) | −3.48555 | + | 2.53240i | −0.146638 | + | 0.106539i | ||||
\(566\) | 4.97656 | − | 15.3163i | 0.209181 | − | 0.643792i | ||||
\(567\) | −11.1562 | + | 34.3354i | −0.468518 | + | 1.44195i | ||||
\(568\) | 6.01787 | − | 4.37224i | 0.252504 | − | 0.183455i | ||||
\(569\) | 6.45701 | + | 4.69129i | 0.270692 | + | 0.196669i | 0.714847 | − | 0.699281i | \(-0.246496\pi\) |
−0.444155 | + | 0.895950i | \(0.646496\pi\) | |||||||
\(570\) | 0.222659 | + | 0.685272i | 0.00932614 | + | 0.0287029i | ||||
\(571\) | −3.62605 | −0.151746 | −0.0758728 | − | 0.997118i | \(-0.524174\pi\) | ||||
−0.0758728 | + | 0.997118i | \(0.524174\pi\) | |||||||
\(572\) | 3.52786 | − | 1.91668i | 0.147507 | − | 0.0801406i | ||||
\(573\) | 2.98677 | 0.124774 | ||||||||
\(574\) | 3.66796 | + | 11.2888i | 0.153098 | + | 0.471187i | ||||
\(575\) | −5.67757 | − | 4.12500i | −0.236771 | − | 0.172024i | ||||
\(576\) | 2.37025 | − | 1.72209i | 0.0987603 | − | 0.0717536i | ||||
\(577\) | −1.13103 | + | 3.48094i | −0.0470852 | + | 0.144913i | −0.971835 | − | 0.235662i | \(-0.924274\pi\) |
0.924750 | + | 0.380576i | \(0.124274\pi\) | |||||||
\(578\) | −10.6146 | + | 32.6683i | −0.441508 | + | 1.35882i | ||||
\(579\) | 1.48865 | − | 1.08157i | 0.0618662 | − | 0.0449484i | ||||
\(580\) | −8.54782 | − | 6.21036i | −0.354929 | − | 0.257871i | ||||
\(581\) | 2.12465 | + | 6.53900i | 0.0881453 | + | 0.271283i | ||||
\(582\) | −1.83186 | −0.0759330 | ||||||||
\(583\) | 19.3203 | + | 2.53836i | 0.800165 | + | 0.105128i | ||||
\(584\) | 7.39217 | 0.305890 | ||||||||
\(585\) | −1.09597 | − | 3.37304i | −0.0453127 | − | 0.139458i | ||||
\(586\) | −3.21992 | − | 2.33941i | −0.133014 | − | 0.0966402i | ||||
\(587\) | 14.4242 | − | 10.4798i | 0.595350 | − | 0.432547i | −0.248875 | − | 0.968536i | \(-0.580061\pi\) |
0.844225 | + | 0.535988i | \(0.180061\pi\) | |||||||
\(588\) | −0.949117 | + | 2.92108i | −0.0391409 | + | 0.120463i | ||||
\(589\) | 3.04305 | − | 9.36555i | 0.125387 | − | 0.385901i | ||||
\(590\) | −4.77117 | + | 3.46646i | −0.196426 | + | 0.142712i | ||||
\(591\) | −2.88092 | − | 2.09311i | −0.118505 | − | 0.0860991i | ||||
\(592\) | 0.654831 | + | 2.01536i | 0.0269134 | + | 0.0828309i | ||||
\(593\) | 23.0006 | 0.944523 | 0.472262 | − | 0.881458i | \(-0.343438\pi\) | ||||
0.472262 | + | 0.881458i | \(0.343438\pi\) | |||||||
\(594\) | 2.24227 | − | 4.70421i | 0.0920013 | − | 0.193016i | ||||
\(595\) | 30.8974 | 1.26667 | ||||||||
\(596\) | 2.04339 | + | 6.28892i | 0.0837007 | + | 0.257604i | ||||
\(597\) | −4.16795 | − | 3.02819i | −0.170583 | − | 0.123936i | ||||
\(598\) | 6.87293 | − | 4.99348i | 0.281055 | − | 0.204199i | ||||
\(599\) | 1.03235 | − | 3.17725i | 0.0421807 | − | 0.129819i | −0.927749 | − | 0.373206i | \(-0.878258\pi\) |
0.969929 | + | 0.243387i | \(0.0782585\pi\) | |||||||
\(600\) | 0.0818824 | − | 0.252008i | 0.00334284 | − | 0.0102882i | ||||
\(601\) | −28.2605 | + | 20.5324i | −1.15277 | + | 0.837535i | −0.988846 | − | 0.148939i | \(-0.952414\pi\) |
−0.163921 | + | 0.986473i | \(0.552414\pi\) | |||||||
\(602\) | −22.9965 | − | 16.7079i | −0.937268 | − | 0.680965i | ||||
\(603\) | 1.47918 | + | 4.55244i | 0.0602367 | + | 0.185390i | ||||
\(604\) | 20.8974 | 0.850303 | ||||||||
\(605\) | −10.2673 | + | 3.94749i | −0.417425 | + | 0.160488i | ||||
\(606\) | 0.857484 | 0.0348329 | ||||||||
\(607\) | 3.89620 | + | 11.9913i | 0.158142 | + | 0.486711i | 0.998466 | − | 0.0553739i | \(-0.0176351\pi\) |
−0.840324 | + | 0.542085i | \(0.817635\pi\) | |||||||
\(608\) | 2.19992 | + | 1.59833i | 0.0892184 | + | 0.0648210i | ||||
\(609\) | −9.76602 | + | 7.09543i | −0.395739 | + | 0.287521i | ||||
\(610\) | 1.89879 | − | 5.84387i | 0.0768797 | − | 0.236611i | ||||
\(611\) | 2.14739 | − | 6.60899i | 0.0868742 | − | 0.267371i | ||||
\(612\) | −16.9849 | + | 12.3402i | −0.686572 | + | 0.498824i | ||||
\(613\) | −6.92760 | − | 5.03320i | −0.279803 | − | 0.203289i | 0.439028 | − | 0.898473i | \(-0.355323\pi\) |
−0.718832 | + | 0.695184i | \(0.755323\pi\) | |||||||
\(614\) | −5.44041 | − | 16.7439i | −0.219557 | − | 0.675727i | ||||
\(615\) | −0.729453 | −0.0294144 | ||||||||
\(616\) | −6.15309 | + | 12.9090i | −0.247915 | + | 0.520119i | ||||
\(617\) | 1.77165 | 0.0713241 | 0.0356620 | − | 0.999364i | \(-0.488646\pi\) | ||||
0.0356620 | + | 0.999364i | \(0.488646\pi\) | |||||||
\(618\) | 0.472972 | + | 1.45566i | 0.0190257 | + | 0.0585551i | ||||
\(619\) | 15.6706 | + | 11.3854i | 0.629855 | + | 0.457616i | 0.856350 | − | 0.516396i | \(-0.172727\pi\) |
−0.226495 | + | 0.974012i | \(0.572727\pi\) | |||||||
\(620\) | −2.92979 | + | 2.12861i | −0.117663 | + | 0.0854872i | ||||
\(621\) | 3.40749 | − | 10.4872i | 0.136738 | − | 0.420836i | ||||
\(622\) | 6.99443 | − | 21.5266i | 0.280451 | − | 0.863140i | ||||
\(623\) | 4.35027 | − | 3.16066i | 0.174290 | − | 0.126629i | ||||
\(624\) | 0.259505 | + | 0.188541i | 0.0103885 | + | 0.00754769i | ||||
\(625\) | 0.309017 | + | 0.951057i | 0.0123607 | + | 0.0380423i | ||||
\(626\) | 12.6096 | 0.503982 | ||||||||
\(627\) | 2.36939 | + | 0.311298i | 0.0946244 | + | 0.0124320i | ||||
\(628\) | −20.2291 | −0.807231 | ||||||||
\(629\) | −4.69243 | − | 14.4418i | −0.187099 | − | 0.575833i | ||||
\(630\) | 10.2199 | + | 7.42521i | 0.407171 | + | 0.295827i | ||||
\(631\) | −22.1727 | + | 16.1094i | −0.882680 | + | 0.641305i | −0.933959 | − | 0.357379i | \(-0.883670\pi\) |
0.0512788 | + | 0.998684i | \(0.483670\pi\) | |||||||
\(632\) | −2.16376 | + | 6.65938i | −0.0860699 | + | 0.264896i | ||||
\(633\) | 0.193122 | − | 0.594369i | 0.00767591 | − | 0.0236240i | ||||
\(634\) | 21.2511 | − | 15.4399i | 0.843991 | − | 0.613195i | ||||
\(635\) | −8.76662 | − | 6.36932i | −0.347893 | − | 0.252759i | ||||
\(636\) | 0.481088 | + | 1.48064i | 0.0190764 | + | 0.0587111i | ||||
\(637\) | 14.0316 | 0.555954 | ||||||||
\(638\) | −30.7915 | + | 16.7290i | −1.21905 | + | 0.662306i | ||||
\(639\) | −21.7932 | −0.862126 | ||||||||
\(640\) | −0.309017 | − | 0.951057i | −0.0122150 | − | 0.0375938i | ||||
\(641\) | 19.3094 | + | 14.0291i | 0.762676 | + | 0.554117i | 0.899730 | − | 0.436447i | \(-0.143763\pi\) |
−0.137054 | + | 0.990564i | \(0.543763\pi\) | |||||||
\(642\) | −0.0367486 | + | 0.0266994i | −0.00145035 | + | 0.00105374i | ||||
\(643\) | 3.85766 | − | 11.8726i | 0.152131 | − | 0.468211i | −0.845728 | − | 0.533614i | \(-0.820833\pi\) |
0.997859 | + | 0.0654032i | \(0.0208334\pi\) | |||||||
\(644\) | −9.35064 | + | 28.7783i | −0.368467 | + | 1.13402i | ||||
\(645\) | 1.41324 | − | 1.02678i | 0.0556464 | − | 0.0404294i | ||||
\(646\) | −15.7643 | − | 11.4534i | −0.620237 | − | 0.450629i | ||||
\(647\) | 2.18034 | + | 6.71040i | 0.0857180 | + | 0.263813i | 0.984724 | − | 0.174124i | \(-0.0557093\pi\) |
−0.899006 | + | 0.437937i | \(0.855709\pi\) | |||||||
\(648\) | −8.37301 | −0.328923 | ||||||||
\(649\) | 3.56958 | + | 19.2313i | 0.140118 | + | 0.754895i | ||||
\(650\) | −1.21054 | −0.0474813 | ||||||||
\(651\) | 1.27857 | + | 3.93502i | 0.0501109 | + | 0.154226i | ||||
\(652\) | 6.53779 | + | 4.74999i | 0.256040 | + | 0.186024i | ||||
\(653\) | −2.16526 | + | 1.57315i | −0.0847331 | + | 0.0615622i | −0.629345 | − | 0.777126i | \(-0.716677\pi\) |
0.544612 | + | 0.838688i | \(0.316677\pi\) | |||||||
\(654\) | −0.190584 | + | 0.586557i | −0.00745242 | + | 0.0229362i | ||||
\(655\) | 1.78772 | − | 5.50203i | 0.0698520 | − | 0.214982i | ||||
\(656\) | −2.22713 | + | 1.61811i | −0.0869550 | + | 0.0631765i | ||||
\(657\) | −17.5213 | − | 12.7300i | −0.683570 | − | 0.496643i | ||||
\(658\) | 7.64866 | + | 23.5402i | 0.298176 | + | 0.917691i | ||||
\(659\) | −36.5069 | −1.42211 | −0.711053 | − | 0.703138i | \(-0.751781\pi\) | ||||
−0.711053 | + | 0.703138i | \(0.751781\pi\) | |||||||
\(660\) | −0.637641 | − | 0.604778i | −0.0248201 | − | 0.0235409i | ||||
\(661\) | 40.3521 | 1.56952 | 0.784758 | − | 0.619802i | \(-0.212787\pi\) | ||||
0.784758 | + | 0.619802i | \(0.212787\pi\) | |||||||
\(662\) | −3.93705 | − | 12.1170i | −0.153018 | − | 0.470940i | ||||
\(663\) | −1.85957 | − | 1.35106i | −0.0722199 | − | 0.0524708i | ||||
\(664\) | −1.29006 | + | 0.937281i | −0.0500639 | + | 0.0363735i | ||||
\(665\) | −3.62314 | + | 11.1509i | −0.140499 | + | 0.432412i | ||||
\(666\) | 1.91852 | − | 5.90459i | 0.0743410 | − | 0.228798i | ||||
\(667\) | −59.9875 | + | 43.5834i | −2.32272 | + | 1.68756i | ||||
\(668\) | −13.9738 | − | 10.1525i | −0.540662 | − | 0.392814i | ||||
\(669\) | 1.19522 | + | 3.67851i | 0.0462099 | + | 0.142219i | ||||
\(670\) | 1.63381 | 0.0631196 | ||||||||
\(671\) | −14.7864 | − | 14.0243i | −0.570822 | − | 0.541402i | ||||
\(672\) | −1.14252 | −0.0440735 | ||||||||
\(673\) | 3.94257 | + | 12.1340i | 0.151975 | + | 0.467731i | 0.997842 | − | 0.0656634i | \(-0.0209163\pi\) |
−0.845867 | + | 0.533394i | \(0.820916\pi\) | |||||||
\(674\) | −15.4174 | − | 11.2014i | −0.593857 | − | 0.431462i | ||||
\(675\) | −1.27117 | + | 0.923562i | −0.0489275 | + | 0.0355479i | ||||
\(676\) | −3.56438 | + | 10.9700i | −0.137092 | + | 0.421925i | ||||
\(677\) | −3.85703 | + | 11.8707i | −0.148238 | + | 0.456228i | −0.997413 | − | 0.0718823i | \(-0.977099\pi\) |
0.849175 | + | 0.528111i | \(0.177099\pi\) | |||||||
\(678\) | −0.923590 | + | 0.671027i | −0.0354703 | + | 0.0257706i | ||||
\(679\) | −24.1154 | − | 17.5209i | −0.925466 | − | 0.672390i | ||||
\(680\) | 2.21437 | + | 6.81513i | 0.0849173 | + | 0.261348i | ||||
\(681\) | −0.792201 | −0.0303572 | ||||||||
\(682\) | 2.19194 | + | 11.8092i | 0.0839336 | + | 0.452197i | ||||
\(683\) | 5.10260 | 0.195246 | 0.0976228 | − | 0.995223i | \(-0.468876\pi\) | ||||
0.0976228 | + | 0.995223i | \(0.468876\pi\) | |||||||
\(684\) | −2.46188 | − | 7.57689i | −0.0941324 | − | 0.289710i | ||||
\(685\) | −6.99826 | − | 5.08453i | −0.267390 | − | 0.194270i | ||||
\(686\) | −16.0155 | + | 11.6359i | −0.611473 | + | 0.444261i | ||||
\(687\) | −0.129286 | + | 0.397900i | −0.00493256 | + | 0.0151808i | ||||
\(688\) | 2.03720 | − | 6.26985i | 0.0776674 | − | 0.239036i | ||||
\(689\) | 5.75401 | − | 4.18054i | 0.219210 | − | 0.159266i | ||||
\(690\) | −1.50443 | − | 1.09303i | −0.0572726 | − | 0.0416110i | ||||
\(691\) | 3.68372 | + | 11.3373i | 0.140135 | + | 0.431292i | 0.996353 | − | 0.0853223i | \(-0.0271920\pi\) |
−0.856218 | + | 0.516615i | \(0.827192\pi\) | |||||||
\(692\) | 14.3738 | 0.546408 | ||||||||
\(693\) | 36.8148 | − | 20.0014i | 1.39848 | − | 0.759791i | ||||
\(694\) | −18.8230 | −0.714511 | ||||||||
\(695\) | 3.93940 | + | 12.1242i | 0.149430 | + | 0.459898i | ||||
\(696\) | −2.26498 | − | 1.64560i | −0.0858537 | − | 0.0623764i | ||||
\(697\) | 15.9593 | − | 11.5951i | 0.604502 | − | 0.439197i | ||||
\(698\) | 8.41088 | − | 25.8860i | 0.318356 | − | 0.979800i | ||||
\(699\) | −0.0414095 | + | 0.127445i | −0.00156625 | + | 0.00482043i | ||||
\(700\) | 3.48828 | − | 2.53438i | 0.131845 | − | 0.0957907i | ||||
\(701\) | 9.19138 | + | 6.67793i | 0.347154 | + | 0.252222i | 0.747674 | − | 0.664066i | \(-0.231171\pi\) |
−0.400520 | + | 0.916288i | \(0.631171\pi\) | |||||||
\(702\) | −0.587773 | − | 1.80898i | −0.0221840 | − | 0.0682755i | ||||
\(703\) | 5.76230 | 0.217329 | ||||||||
\(704\) | −3.28837 | − | 0.432036i | −0.123935 | − | 0.0162830i | ||||
\(705\) | −1.52110 | −0.0572879 | ||||||||
\(706\) | −7.92257 | − | 24.3832i | −0.298170 | − | 0.917673i | ||||
\(707\) | 11.2883 | + | 8.20144i | 0.424541 | + | 0.308447i | ||||
\(708\) | −1.26425 | + | 0.918533i | −0.0475135 | + | 0.0345206i | ||||
\(709\) | 3.75791 | − | 11.5656i | 0.141131 | − | 0.434357i | −0.855362 | − | 0.518031i | \(-0.826665\pi\) |
0.996493 | + | 0.0836737i | \(0.0266653\pi\) | |||||||
\(710\) | −2.29862 | + | 7.07443i | −0.0862657 | + | 0.265499i | ||||
\(711\) | 16.5967 | − | 12.0582i | 0.622424 | − | 0.452218i | ||||
\(712\) | 1.00893 | + | 0.733033i | 0.0378114 | + | 0.0274716i | ||||
\(713\) | 7.85355 | + | 24.1707i | 0.294118 | + | 0.905201i | ||||
\(714\) | 8.18710 | 0.306395 | ||||||||
\(715\) | −1.72750 | + | 3.62426i | −0.0646050 | + | 0.135539i | ||||
\(716\) | 18.8541 | 0.704611 | ||||||||
\(717\) | 1.37086 | + | 4.21908i | 0.0511958 | + | 0.157565i | ||||
\(718\) | 7.82857 | + | 5.68779i | 0.292160 | + | 0.212267i | ||||
\(719\) | 27.9662 | − | 20.3186i | 1.04296 | − | 0.757756i | 0.0721003 | − | 0.997397i | \(-0.477030\pi\) |
0.970862 | + | 0.239641i | \(0.0770298\pi\) | |||||||
\(720\) | −0.905354 | + | 2.78639i | −0.0337406 | + | 0.103843i | ||||
\(721\) | −7.69628 | + | 23.6867i | −0.286624 | + | 0.882139i | ||||
\(722\) | −9.38921 | + | 6.82166i | −0.349430 | + | 0.253876i | ||||
\(723\) | −3.27874 | − | 2.38214i | −0.121938 | − | 0.0885928i | ||||
\(724\) | −4.04887 | − | 12.4611i | −0.150475 | − | 0.463114i | ||||
\(725\) | 10.5657 | 0.392400 | ||||||||
\(726\) | −2.72060 | + | 1.04599i | −0.100971 | + | 0.0388205i | ||||
\(727\) | 46.4273 | 1.72189 | 0.860947 | − | 0.508695i | \(-0.169872\pi\) | ||||
0.860947 | + | 0.508695i | \(0.169872\pi\) | |||||||
\(728\) | 1.61293 | + | 4.96409i | 0.0597792 | + | 0.183981i | ||||
\(729\) | 18.8356 | + | 13.6849i | 0.697616 | + | 0.506847i | ||||
\(730\) | −5.98039 | + | 4.34501i | −0.221344 | + | 0.160816i | ||||
\(731\) | −14.5983 | + | 44.9288i | −0.539936 | + | 1.66175i | ||||
\(732\) | 0.503135 | − | 1.54849i | 0.0185964 | − | 0.0572339i | ||||
\(733\) | −11.8252 | + | 8.59151i | −0.436773 | + | 0.317334i | −0.784352 | − | 0.620317i | \(-0.787004\pi\) |
0.347578 | + | 0.937651i | \(0.387004\pi\) | |||||||
\(734\) | −16.7495 | − | 12.1692i | −0.618236 | − | 0.449174i | ||||
\(735\) | −0.949117 | − | 2.92108i | −0.0350087 | − | 0.107746i | ||||
\(736\) | −7.01787 | −0.258682 | ||||||||
\(737\) | 2.33153 | − | 4.89149i | 0.0858830 | − | 0.180180i | ||||
\(738\) | 8.06538 | 0.296891 | ||||||||
\(739\) | −12.8330 | − | 39.4959i | −0.472070 | − | 1.45288i | −0.849869 | − | 0.526994i | \(-0.823319\pi\) |
0.377800 | − | 0.925887i | \(-0.376681\pi\) | |||||||
\(740\) | −1.71437 | − | 1.24556i | −0.0630215 | − | 0.0457878i | ||||
\(741\) | 0.705658 | − | 0.512690i | 0.0259230 | − | 0.0188341i | ||||
\(742\) | −7.82835 | + | 24.0932i | −0.287388 | + | 0.884488i | ||||
\(743\) | −12.3655 | + | 38.0571i | −0.453646 | + | 1.39618i | 0.419071 | + | 0.907953i | \(0.362356\pi\) |
−0.872717 | + | 0.488226i | \(0.837644\pi\) | |||||||
\(744\) | −0.776327 | + | 0.564034i | −0.0284615 | + | 0.0206785i | ||||
\(745\) | −5.34967 | − | 3.88677i | −0.195997 | − | 0.142400i | ||||
\(746\) | 4.98947 | + | 15.3560i | 0.182677 | + | 0.562223i | ||||
\(747\) | 4.67183 | 0.170933 | ||||||||
\(748\) | 23.5639 | + | 3.09590i | 0.861583 | + | 0.113197i | ||||
\(749\) | −0.739143 | −0.0270077 | ||||||||
\(750\) | 0.0818824 | + | 0.252008i | 0.00298992 | + | 0.00920204i | ||||
\(751\) | −11.5210 | − | 8.37050i | −0.420407 | − | 0.305444i | 0.357394 | − | 0.933954i | \(-0.383665\pi\) |
−0.777802 | + | 0.628510i | \(0.783665\pi\) | |||||||
\(752\) | −4.64416 | + | 3.37418i | −0.169355 | + | 0.123044i | ||||
\(753\) | 0.0349957 | − | 0.107706i | 0.00127531 | − | 0.00392502i | ||||
\(754\) | −3.95239 | + | 12.1642i | −0.143937 | + | 0.442994i | ||||
\(755\) | −16.9064 | + | 12.2832i | −0.615285 | + | 0.447031i | ||||
\(756\) | 5.48099 | + | 3.98217i | 0.199342 | + | 0.144830i | ||||
\(757\) | −9.20948 | − | 28.3439i | −0.334724 | − | 1.03017i | −0.966858 | − | 0.255316i | \(-0.917821\pi\) |
0.632134 | − | 0.774859i | \(-0.282179\pi\) | |||||||
\(758\) | 0.229700 | 0.00834306 | ||||||||
\(759\) | −5.41933 | + | 2.94432i | −0.196709 | + | 0.106872i | ||||
\(760\) | −2.71925 | −0.0986374 | ||||||||
\(761\) | −4.10031 | − | 12.6195i | −0.148636 | − | 0.457455i | 0.848825 | − | 0.528675i | \(-0.177311\pi\) |
−0.997461 | + | 0.0712199i | \(0.977311\pi\) | |||||||
\(762\) | −2.32295 | − | 1.68772i | −0.0841517 | − | 0.0611398i | ||||
\(763\) | −8.11908 | + | 5.89886i | −0.293930 | + | 0.213553i | ||||
\(764\) | −3.48318 | + | 10.7201i | −0.126017 | + | 0.387840i | ||||
\(765\) | 6.48764 | − | 19.9669i | 0.234561 | − | 0.721904i | ||||
\(766\) | 10.5351 | − | 7.65417i | 0.380647 | − | 0.276556i | ||||
\(767\) | 5.77570 | + | 4.19629i | 0.208548 | + | 0.151519i | ||||
\(768\) | −0.0818824 | − | 0.252008i | −0.00295468 | − | 0.00909356i | ||||
\(769\) | −46.3160 | −1.67020 | −0.835099 | − | 0.550099i | \(-0.814590\pi\) | ||||
−0.835099 | + | 0.550099i | \(0.814590\pi\) | |||||||
\(770\) | −2.60978 | − | 14.0603i | −0.0940498 | − | 0.506699i | ||||
\(771\) | −4.73653 | −0.170582 | ||||||||
\(772\) | 2.14590 | + | 6.60440i | 0.0772326 | + | 0.237697i | ||||
\(773\) | −41.3802 | − | 30.0645i | −1.48834 | − | 1.08134i | −0.974747 | − | 0.223312i | \(-0.928313\pi\) |
−0.513596 | − | 0.858032i | \(-0.671687\pi\) | |||||||
\(774\) | −15.6259 | + | 11.3529i | −0.561660 | + | 0.408070i | ||||
\(775\) | 1.11908 | − | 3.44417i | 0.0401985 | − | 0.123718i | ||||
\(776\) | 2.13632 | − | 6.57491i | 0.0766894 | − | 0.236026i | ||||
\(777\) | −1.95870 | + | 1.42308i | −0.0702678 | + | 0.0510526i | ||||
\(778\) | 23.9676 | + | 17.4135i | 0.859280 | + | 0.624304i | ||||
\(779\) | 2.31323 | + | 7.11940i | 0.0828802 | + | 0.255079i | ||||
\(780\) | −0.320766 | −0.0114853 | ||||||||
\(781\) | 17.9000 | + | 16.9774i | 0.640512 | + | 0.607501i | ||||
\(782\) | 50.2890 | 1.79833 | ||||||||
\(783\) | 5.13012 | + | 15.7889i | 0.183336 | + | 0.564249i | ||||
\(784\) | −9.37749 | − | 6.81315i | −0.334910 | − | 0.243327i | ||||
\(785\) | 16.3657 | − | 11.8904i | 0.584118 | − | 0.424386i | ||||
\(786\) | 0.473705 | − | 1.45791i | 0.0168965 | − | 0.0520020i | ||||
\(787\) | 10.7231 | − | 33.0022i | 0.382236 | − | 1.17640i | −0.556229 | − | 0.831029i | \(-0.687752\pi\) |
0.938465 | − | 0.345374i | \(-0.112248\pi\) | |||||||
\(788\) | 10.8723 | − | 7.89922i | 0.387311 | − | 0.281398i | ||||
\(789\) | 3.10788 | + | 2.25801i | 0.110643 | + | 0.0803871i | ||||
\(790\) | −2.16376 | − | 6.65938i | −0.0769833 | − | 0.236930i | ||||
\(791\) | −18.5766 | −0.660509 | ||||||||
\(792\) | 7.05024 | + | 6.68688i | 0.250519 | + | 0.237608i | ||||
\(793\) | −7.43830 | −0.264142 | ||||||||
\(794\) | −0.675711 | − | 2.07963i | −0.0239801 | − | 0.0738032i | ||||
\(795\) | −1.25950 | − | 0.915084i | −0.0446700 | − | 0.0324547i | ||||
\(796\) | 15.7295 | − | 11.4281i | 0.557516 | − | 0.405059i | ||||
\(797\) | 13.8054 | − | 42.4885i | 0.489011 | − | 1.50502i | −0.337075 | − | 0.941478i | \(-0.609438\pi\) |
0.826086 | − | 0.563544i | \(-0.190562\pi\) | |||||||
\(798\) | −0.960049 | + | 2.95473i | −0.0339853 | + | 0.104596i | ||||
\(799\) | 33.2794 | − | 24.1789i | 1.17734 | − | 0.855387i | ||||
\(800\) | 0.809017 | + | 0.587785i | 0.0286031 | + | 0.0207813i | ||||
\(801\) | −1.12908 | − | 3.47494i | −0.0398939 | − | 0.122781i | ||||
\(802\) | 13.0944 | 0.462378 | ||||||||
\(803\) | 4.47426 | + | 24.1053i | 0.157893 | + | 0.850659i | ||||
\(804\) | 0.432922 | 0.0152680 | ||||||||
\(805\) | −9.35064 | − | 28.7783i | −0.329567 | − | 1.01430i | ||||
\(806\) | 3.54663 | + | 2.57678i | 0.124925 | + | 0.0907630i | ||||
\(807\) | 5.98906 | − | 4.35130i | 0.210825 | − | 0.153173i | ||||
\(808\) | −1.00000 | + | 3.07768i | −0.0351799 | + | 0.108273i | ||||
\(809\) | −4.04819 | + | 12.4590i | −0.142327 | + | 0.438037i | −0.996658 | − | 0.0816929i | \(-0.973967\pi\) |
0.854331 | + | 0.519730i | \(0.173967\pi\) | |||||||
\(810\) | 6.77391 | − | 4.92153i | 0.238011 | − | 0.172925i | ||||
\(811\) | 6.33646 | + | 4.60371i | 0.222503 | + | 0.161658i | 0.693453 | − | 0.720502i | \(-0.256089\pi\) |
−0.470949 | + | 0.882160i | \(0.656089\pi\) | |||||||
\(812\) | −14.0778 | − | 43.3269i | −0.494033 | − | 1.52048i | ||||
\(813\) | −2.75299 | −0.0965515 | ||||||||
\(814\) | −6.17561 | + | 3.35520i | −0.216455 | + | 0.117600i | ||||
\(815\) | −8.08116 | −0.283071 | ||||||||
\(816\) | 0.586758 | + | 1.80585i | 0.0205406 | + | 0.0632176i | ||||
\(817\) | −14.5030 | − | 10.5370i | −0.507394 | − | 0.368644i | ||||
\(818\) | 24.6173 | − | 17.8855i | 0.860725 | − | 0.625353i | ||||
\(819\) | 4.72554 | − | 14.5437i | 0.165124 | − | 0.508199i | ||||
\(820\) | 0.850690 | − | 2.61815i | 0.0297074 | − | 0.0914299i | ||||
\(821\) | 19.4432 | − | 14.1263i | 0.678573 | − | 0.493012i | −0.194311 | − | 0.980940i | \(-0.562247\pi\) |
0.872884 | + | 0.487928i | \(0.162247\pi\) | |||||||
\(822\) | −1.85438 | − | 1.34729i | −0.0646789 | − | 0.0469920i | ||||
\(823\) | 3.73052 | + | 11.4813i | 0.130038 | + | 0.400215i | 0.994785 | − | 0.101992i | \(-0.0325216\pi\) |
−0.864748 | + | 0.502207i | \(0.832522\pi\) | |||||||
\(824\) | −5.77623 | −0.201224 | ||||||||
\(825\) | 0.871342 | + | 0.114480i | 0.0303362 | + | 0.00398567i | ||||
\(826\) | −25.4285 | −0.884772 | ||||||||
\(827\) | 10.8899 | + | 33.5158i | 0.378680 | + | 1.16546i | 0.940962 | + | 0.338512i | \(0.109924\pi\) |
−0.562282 | + | 0.826946i | \(0.690076\pi\) | |||||||
\(828\) | 16.6341 | + | 12.0854i | 0.578074 | + | 0.419996i | ||||
\(829\) | −19.6457 | + | 14.2734i | −0.682322 | + | 0.495736i | −0.874127 | − | 0.485697i | \(-0.838566\pi\) |
0.191805 | + | 0.981433i | \(0.438566\pi\) | |||||||
\(830\) | 0.492758 | − | 1.51655i | 0.0171039 | − | 0.0526403i | ||||
\(831\) | 0.0514499 | − | 0.158346i | 0.00178478 | − | 0.00549298i | ||||
\(832\) | −0.979348 | + | 0.711538i | −0.0339528 | + | 0.0246681i | ||||
\(833\) | 67.1977 | + | 48.8220i | 2.32826 | + | 1.69158i | ||||
\(834\) | 1.04385 | + | 3.21264i | 0.0361456 | + | 0.111245i | ||||
\(835\) | 17.2725 | 0.597741 | ||||||||
\(836\) | −3.88050 | + | 8.14119i | −0.134210 | + | 0.281569i | ||||
\(837\) | 5.69018 | 0.196681 | ||||||||
\(838\) | −8.26538 | − | 25.4382i | −0.285523 | − | 0.878748i | ||||
\(839\) | −12.3220 | − | 8.95243i | −0.425401 | − | 0.309072i | 0.354406 | − | 0.935092i | \(-0.384683\pi\) |
−0.779807 | + | 0.626019i | \(0.784683\pi\) | |||||||
\(840\) | 0.924315 | − | 0.671554i | 0.0318919 | − | 0.0231708i | ||||
\(841\) | 25.5352 | − | 78.5894i | 0.880525 | − | 2.70998i | ||||
\(842\) | 9.37640 | − | 28.8576i | 0.323132 | − | 0.994498i | ||||
\(843\) | 6.45399 | − | 4.68910i | 0.222287 | − | 0.161501i | ||||
\(844\) | 1.90809 | + | 1.38631i | 0.0656792 | + | 0.0477187i | ||||
\(845\) | −3.56438 | − | 10.9700i | −0.122619 | − | 0.377381i | ||||
\(846\) | 16.8184 | 0.578229 | ||||||||
\(847\) | −45.8197 | − | 12.2513i | −1.57438 | − | 0.420961i | ||||
\(848\) | −5.87535 | −0.201760 | ||||||||
\(849\) | 1.31868 | + | 4.05847i | 0.0452568 | + | 0.139286i | ||||
\(850\) | −5.79730 | − | 4.21198i | −0.198846 | − | 0.144470i | ||||
\(851\) | −12.0312 | + | 8.74120i | −0.412425 | + | 0.299644i | ||||
\(852\) | −0.609082 | + | 1.87456i | −0.0208668 | + | 0.0642214i | ||||
\(853\) | −2.13420 | + | 6.56839i | −0.0730736 | + | 0.224897i | −0.980922 | − | 0.194401i | \(-0.937724\pi\) |
0.907849 | + | 0.419298i | \(0.137724\pi\) | |||||||
\(854\) | 21.4341 | − | 15.5728i | 0.733460 | − | 0.532890i | ||||
\(855\) | 6.44529 | + | 4.68277i | 0.220424 | + | 0.160148i | ||||
\(856\) | −0.0529733 | − | 0.163035i | −0.00181059 | − | 0.00557242i | ||||
\(857\) | −1.68576 | −0.0575845 | −0.0287922 | − | 0.999585i | \(-0.509166\pi\) | ||||
−0.0287922 | + | 0.999585i | \(0.509166\pi\) | |||||||
\(858\) | −0.457749 | + | 0.960345i | −0.0156273 | + | 0.0327856i | ||||
\(859\) | −52.7330 | −1.79923 | −0.899613 | − | 0.436688i | \(-0.856151\pi\) | ||||
−0.899613 | + | 0.436688i | \(0.856151\pi\) | |||||||
\(860\) | 2.03720 | + | 6.26985i | 0.0694678 | + | 0.213800i | ||||
\(861\) | −2.54454 | − | 1.84871i | −0.0867176 | − | 0.0630040i | ||||
\(862\) | −9.56907 | + | 6.95234i | −0.325924 | + | 0.236798i | ||||
\(863\) | 9.11412 | − | 28.0504i | 0.310248 | − | 0.954846i | −0.667418 | − | 0.744683i | \(-0.732601\pi\) |
0.977666 | − | 0.210163i | \(-0.0673993\pi\) | |||||||
\(864\) | −0.485545 | + | 1.49436i | −0.0165186 | + | 0.0508390i | ||||
\(865\) | −11.6286 | + | 8.44868i | −0.395385 | + | 0.287264i | ||||
\(866\) | 26.3685 | + | 19.1578i | 0.896037 | + | 0.651009i | ||||
\(867\) | −2.81262 | − | 8.65635i | −0.0955216 | − | 0.293985i | ||||
\(868\) | −15.6147 | −0.529996 | ||||||||
\(869\) | −23.0254 | − | 3.02515i | −0.781084 | − | 0.102621i | ||||
\(870\) | 2.79967 | 0.0949176 | ||||||||
\(871\) | −0.611172 | − | 1.88099i | −0.0207088 | − | 0.0637351i | ||||
\(872\) | −1.88301 | − | 1.36809i | −0.0637668 | − | 0.0463293i | ||||
\(873\) | −16.3862 | + | 11.9052i | −0.554588 | + | 0.402932i | ||||
\(874\) | −5.89707 | + | 18.1493i | −0.199471 | + | 0.613909i | ||||
\(875\) | −1.33240 | + | 4.10072i | −0.0450435 | + | 0.138630i | ||||
\(876\) | −1.58467 | + | 1.15133i | −0.0535410 | + | 0.0388998i | ||||
\(877\) | 22.6710 | + | 16.4715i | 0.765547 | + | 0.556202i | 0.900607 | − | 0.434635i | \(-0.143123\pi\) |
−0.135060 | + | 0.990837i | \(0.543123\pi\) | |||||||
\(878\) | −1.57464 | − | 4.84624i | −0.0531415 | − | 0.163553i | ||||
\(879\) | 1.05462 | 0.0355715 | ||||||||
\(880\) | 2.91429 | − | 1.58333i | 0.0982406 | − | 0.0533740i | ||||
\(881\) | −28.1345 | −0.947875 | −0.473937 | − | 0.880559i | \(-0.657168\pi\) | ||||
−0.473937 | + | 0.880559i | \(0.657168\pi\) | |||||||
\(882\) | 10.4942 | + | 32.2977i | 0.353357 | + | 1.08752i | ||||
\(883\) | −32.7842 | − | 23.8191i | −1.10328 | − | 0.801578i | −0.121686 | − | 0.992569i | \(-0.538830\pi\) |
−0.981592 | + | 0.190991i | \(0.938830\pi\) | |||||||
\(884\) | 7.01787 | − | 5.09878i | 0.236036 | − | 0.171490i | ||||
\(885\) | 0.482901 | − | 1.48622i | 0.0162326 | − | 0.0499587i | ||||
\(886\) | −7.62632 | + | 23.4714i | −0.256211 | + | 0.788537i | ||||
\(887\) | −11.5317 | + | 8.37825i | −0.387196 | + | 0.281314i | −0.764305 | − | 0.644854i | \(-0.776918\pi\) |
0.377110 | + | 0.926169i | \(0.376918\pi\) | |||||||
\(888\) | −0.454269 | − | 0.330046i | −0.0152443 | − | 0.0110756i | ||||
\(889\) | −14.4381 | − | 44.4360i | −0.484239 | − | 1.49033i | ||||
\(890\) | −1.24711 | −0.0418032 | ||||||||
\(891\) | −5.06794 | − | 27.3038i | −0.169782 | − | 0.914711i | ||||
\(892\) | −14.5968 | −0.488737 | ||||||||
\(893\) | 4.82370 | + | 14.8458i | 0.161419 | + | 0.496796i | ||||
\(894\) | −1.41754 | − | 1.02990i | −0.0474097 | − | 0.0344451i | ||||
\(895\) | −15.2533 | + | 11.0822i | −0.509861 | + | 0.370436i | ||||
\(896\) | 1.33240 | − | 4.10072i | 0.0445125 | − | 0.136995i | ||||
\(897\) | −0.695625 | + | 2.14091i | −0.0232263 | + | 0.0714831i | ||||
\(898\) | −15.3457 | + | 11.1493i | −0.512093 | + | 0.372057i | ||||
\(899\) | −30.9552 | − | 22.4903i | −1.03241 | − | 0.750093i | ||||
\(900\) | −0.905354 | − | 2.78639i | −0.0301785 | − | 0.0928798i | ||||
\(901\) | 42.1019 | 1.40262 | ||||||||
\(902\) | −6.62455 | − | 6.28313i | −0.220573 | − | 0.209205i | ||||
\(903\) | 7.53204 | 0.250651 | ||||||||
\(904\) | −1.33136 | − | 4.09750i | −0.0442804 | − | 0.136281i | ||||
\(905\) | 10.6001 | + | 7.70140i | 0.352358 | + | 0.256003i | ||||
\(906\) | −4.47980 | + | 3.25476i | −0.148831 | + | 0.108132i | ||||
\(907\) | −13.3997 | + | 41.2401i | −0.444931 | + | 1.36936i | 0.437629 | + | 0.899156i | \(0.355818\pi\) |
−0.882560 | + | 0.470200i | \(0.844182\pi\) | |||||||
\(908\) | 0.923867 | − | 2.84337i | 0.0306596 | − | 0.0943605i | ||||
\(909\) | 7.67028 | − | 5.57279i | 0.254407 | − | 0.184838i | ||||
\(910\) | −4.22271 | − | 3.06798i | −0.139981 | − | 0.101702i | ||||
\(911\) | 7.33435 | + | 22.5728i | 0.242998 | + | 0.747871i | 0.995959 | + | 0.0898061i | \(0.0286247\pi\) |
−0.752961 | + | 0.658065i | \(0.771375\pi\) | |||||||
\(912\) | −0.720538 | −0.0238594 | ||||||||
\(913\) | −3.83724 | − | 3.63947i | −0.126994 | − | 0.120449i | ||||
\(914\) | 28.5141 | 0.943162 | ||||||||
\(915\) | 0.503135 | + | 1.54849i | 0.0166331 | + | 0.0511915i | ||||
\(916\) | −1.27737 | − | 0.928065i | −0.0422055 | − | 0.0306641i | ||||
\(917\) | 20.1803 | − | 14.6619i | 0.666414 | − | 0.484178i | ||||
\(918\) | 3.47935 | − | 10.7083i | 0.114836 | − | 0.353428i | ||||
\(919\) | −4.34410 | + | 13.3698i | −0.143299 | + | 0.441028i | −0.996788 | − | 0.0800817i | \(-0.974482\pi\) |
0.853490 | + | 0.521110i | \(0.174482\pi\) | |||||||
\(920\) | 5.67757 | − | 4.12500i | 0.187184 | − | 0.135997i | ||||
\(921\) | 3.77412 | + | 2.74206i | 0.124361 | + | 0.0903538i | ||||
\(922\) | 10.9119 | + | 33.5834i | 0.359365 | + | 1.10601i | ||||
\(923\) | 9.00460 | 0.296390 | ||||||||
\(924\) | −0.691531 | − | 3.72566i | −0.0227497 | − | 0.122565i | ||||
\(925\) | 2.11908 | 0.0696749 | ||||||||
\(926\) | −1.20394 | − | 3.70536i | −0.0395641 | − | 0.121766i | ||||
\(927\) | 13.6911 | + | 9.94716i | 0.449674 | + | 0.326708i | ||||
\(928\) | 8.54782 | − | 6.21036i | 0.280596 | − | 0.203865i | ||||
\(929\) | −17.2507 | + | 53.0922i | −0.565977 | + | 1.74190i | 0.0990531 | + | 0.995082i | \(0.468419\pi\) |
−0.665030 | + | 0.746816i | \(0.731581\pi\) | |||||||
\(930\) | 0.296530 | − | 0.912627i | 0.00972361 | − | 0.0299262i | ||||
\(931\) | −25.4997 | + | 18.5266i | −0.835719 | + | 0.607185i | ||||
\(932\) | −0.409135 | − | 0.297254i | −0.0134017 | − | 0.00973688i | ||||
\(933\) | 1.85336 | + | 5.70407i | 0.0606764 | + | 0.186743i | ||||
\(934\) | 11.8528 | 0.387836 | ||||||||
\(935\) | −20.8834 | + | 11.3459i | −0.682959 | + | 0.371051i | ||||
\(936\) | 3.54663 | 0.115925 | ||||||||
\(937\) | −3.84000 | − | 11.8183i | −0.125447 | − | 0.386088i | 0.868535 | − | 0.495628i | \(-0.165062\pi\) |
−0.993982 | + | 0.109540i | \(0.965062\pi\) | |||||||
\(938\) | 5.69919 | + | 4.14070i | 0.186085 | + | 0.135199i | ||||
\(939\) | −2.70314 | + | 1.96395i | −0.0882136 | + | 0.0640910i | ||||
\(940\) | 1.77391 | − | 5.45954i | 0.0578586 | − | 0.178070i | ||||
\(941\) | −4.50996 | + | 13.8802i | −0.147020 | + | 0.452483i | −0.997265 | − | 0.0739049i | \(-0.976454\pi\) |
0.850245 | + | 0.526387i | \(0.176454\pi\) | |||||||
\(942\) | 4.33654 | − | 3.15068i | 0.141292 | − | 0.102655i | ||||
\(943\) | −15.6297 | − | 11.3557i | −0.508974 | − | 0.369791i | ||||
\(944\) | −1.82243 | − | 5.60885i | −0.0593149 | − | 0.182553i | ||||
\(945\) | −6.77488 | −0.220387 | ||||||||
\(946\) | 21.6786 | + | 2.84820i | 0.704831 | + | 0.0926029i | ||||
\(947\) | 38.1184 | 1.23868 | 0.619340 | − | 0.785123i | \(-0.287400\pi\) | ||||
0.619340 | + | 0.785123i | \(0.287400\pi\) | |||||||
\(948\) | −0.573348 | − | 1.76458i | −0.0186215 | − | 0.0573110i | ||||
\(949\) | 7.23951 | + | 5.25981i | 0.235004 | + | 0.170741i | ||||
\(950\) | 2.19992 | − | 1.59833i | 0.0713747 | − | 0.0518568i | ||||
\(951\) | −2.15088 | + | 6.61972i | −0.0697470 | + | 0.214659i | ||||
\(952\) | −9.54782 | + | 29.3852i | −0.309447 | + | 0.952379i | ||||
\(953\) | −0.381518 | + | 0.277189i | −0.0123586 | + | 0.00897903i | −0.593947 | − | 0.804504i | \(-0.702431\pi\) |
0.581589 | + | 0.813483i | \(0.302431\pi\) | |||||||
\(954\) | 13.9260 | + | 10.1179i | 0.450872 | + | 0.327578i | ||||
\(955\) | −3.48318 | − | 10.7201i | −0.112713 | − | 0.346895i | ||||
\(956\) | −16.7418 | −0.541470 | ||||||||
\(957\) | 3.99527 | − | 8.38196i | 0.129149 | − | 0.270950i | ||||
\(958\) | −10.4253 | −0.336825 | ||||||||
\(959\) | −11.5257 | − | 35.4726i | −0.372185 | − | 1.14547i | ||||
\(960\) | 0.214371 | + | 0.155750i | 0.00691879 | + | 0.00502680i | ||||
\(961\) | 14.4695 | − | 10.5127i | 0.466760 | − | 0.339121i | ||||
\(962\) | −0.792700 | + | 2.43968i | −0.0255577 | + | 0.0786585i | ||||
\(963\) | −0.155200 | + | 0.477658i | −0.00500126 | + | 0.0153923i | ||||
\(964\) | 12.3737 | − | 8.98999i | 0.398529 | − | 0.289548i | ||||
\(965\) | −5.61803 | − | 4.08174i | −0.180851 | − | 0.131396i | ||||
\(966\) | −2.47771 | − | 7.62559i | −0.0797189 | − | 0.245349i | ||||
\(967\) | −29.1678 | −0.937975 | −0.468987 | − | 0.883205i | \(-0.655381\pi\) | ||||
−0.468987 | + | 0.883205i | \(0.655381\pi\) | |||||||
\(968\) | −0.581513 | − | 10.9846i | −0.0186906 | − | 0.353059i | ||||
\(969\) | 5.16327 | 0.165868 | ||||||||
\(970\) | 2.13632 | + | 6.57491i | 0.0685931 | + | 0.211108i | ||||
\(971\) | 12.8033 | + | 9.30216i | 0.410878 | + | 0.298520i | 0.773957 | − | 0.633238i | \(-0.218275\pi\) |
−0.363079 | + | 0.931758i | \(0.618275\pi\) | |||||||
\(972\) | 5.60845 | − | 4.07478i | 0.179891 | − | 0.130699i | ||||
\(973\) | −16.9857 | + | 52.2766i | −0.544537 | + | 1.67591i | ||||
\(974\) | 7.60226 | − | 23.3973i | 0.243592 | − | 0.749699i | ||||
\(975\) | 0.259505 | − | 0.188541i | 0.00831081 | − | 0.00603815i | ||||
\(976\) | 4.97109 | + | 3.61171i | 0.159121 | + | 0.115608i | ||||
\(977\) | 12.9305 | + | 39.7961i | 0.413684 | + | 1.27319i | 0.913423 | + | 0.407013i | \(0.133429\pi\) |
−0.499738 | + | 0.866176i | \(0.666571\pi\) | |||||||
\(978\) | −2.14132 | −0.0684719 | ||||||||
\(979\) | −1.77969 | + | 3.73374i | −0.0568791 | + | 0.119331i | ||||
\(980\) | 11.5912 | 0.370268 | ||||||||
\(981\) | 2.10724 | + | 6.48541i | 0.0672789 | + | 0.207063i | ||||
\(982\) | −18.7305 | − | 13.6085i | −0.597714 | − | 0.434265i | ||||
\(983\) | −4.12492 | + | 2.99693i | −0.131565 | + | 0.0955872i | −0.651621 | − | 0.758545i | \(-0.725911\pi\) |
0.520057 | + | 0.854132i | \(0.325911\pi\) | |||||||
\(984\) | 0.225413 | − | 0.693751i | 0.00718591 | − | 0.0221160i | ||||
\(985\) | −4.15286 | + | 12.7812i | −0.132321 | + | 0.407243i | ||||
\(986\) | −61.2524 | + | 44.5025i | −1.95068 | + | 1.41725i | ||||
\(987\) | −5.30602 | − | 3.85505i | −0.168893 | − | 0.122708i | ||||
\(988\) | 1.01721 | + | 3.13065i | 0.0323617 | + | 0.0995992i | ||||
\(989\) | 46.2653 | 1.47115 | ||||||||
\(990\) | −9.63421 | − | 1.26577i | −0.306195 | − | 0.0402289i | ||||
\(991\) | −14.8133 | −0.470560 | −0.235280 | − | 0.971928i | \(-0.575601\pi\) | ||||
−0.235280 | + | 0.971928i | \(0.575601\pi\) | |||||||
\(992\) | −1.11908 | − | 3.44417i | −0.0355308 | − | 0.109353i | ||||
\(993\) | 2.73121 | + | 1.98434i | 0.0866722 | + | 0.0629710i | ||||
\(994\) | −25.9476 | + | 18.8520i | −0.823007 | + | 0.597949i | ||||
\(995\) | −6.00812 | + | 18.4911i | −0.190470 | + | 0.586207i | ||||
\(996\) | 0.130569 | − | 0.401852i | 0.00413725 | − | 0.0127332i | ||||
\(997\) | 46.9861 | − | 34.1374i | 1.48807 | − | 1.08114i | 0.513221 | − | 0.858257i | \(-0.328452\pi\) |
0.974844 | − | 0.222886i | \(-0.0715478\pi\) | |||||||
\(998\) | 18.3406 | + | 13.3253i | 0.580563 | + | 0.421804i | ||||
\(999\) | 1.02891 | + | 3.16666i | 0.0325532 | + | 0.100189i |
(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 | 110.2.g.c.71.2 | yes | 8 | |
3.2 | odd | 2 | 990.2.n.j.181.2 | 8 | |||
4.3 | odd | 2 | 880.2.bo.g.401.1 | 8 | |||
5.2 | odd | 4 | 550.2.ba.f.49.4 | 16 | |||
5.3 | odd | 4 | 550.2.ba.f.49.1 | 16 | |||
5.4 | even | 2 | 550.2.h.l.401.1 | 8 | |||
11.3 | even | 5 | 1210.2.a.u.1.2 | 4 | |||
11.8 | odd | 10 | 1210.2.a.v.1.2 | 4 | |||
11.9 | even | 5 | inner | 110.2.g.c.31.2 | ✓ | 8 | |
33.20 | odd | 10 | 990.2.n.j.361.2 | 8 | |||
44.3 | odd | 10 | 9680.2.a.cj.1.3 | 4 | |||
44.19 | even | 10 | 9680.2.a.ci.1.3 | 4 | |||
44.31 | odd | 10 | 880.2.bo.g.801.1 | 8 | |||
55.9 | even | 10 | 550.2.h.l.251.1 | 8 | |||
55.14 | even | 10 | 6050.2.a.dh.1.3 | 4 | |||
55.19 | odd | 10 | 6050.2.a.cy.1.3 | 4 | |||
55.42 | odd | 20 | 550.2.ba.f.449.1 | 16 | |||
55.53 | odd | 20 | 550.2.ba.f.449.4 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
110.2.g.c.31.2 | ✓ | 8 | 11.9 | even | 5 | inner | |
110.2.g.c.71.2 | yes | 8 | 1.1 | even | 1 | trivial | |
550.2.h.l.251.1 | 8 | 55.9 | even | 10 | |||
550.2.h.l.401.1 | 8 | 5.4 | even | 2 | |||
550.2.ba.f.49.1 | 16 | 5.3 | odd | 4 | |||
550.2.ba.f.49.4 | 16 | 5.2 | odd | 4 | |||
550.2.ba.f.449.1 | 16 | 55.42 | odd | 20 | |||
550.2.ba.f.449.4 | 16 | 55.53 | odd | 20 | |||
880.2.bo.g.401.1 | 8 | 4.3 | odd | 2 | |||
880.2.bo.g.801.1 | 8 | 44.31 | odd | 10 | |||
990.2.n.j.181.2 | 8 | 3.2 | odd | 2 | |||
990.2.n.j.361.2 | 8 | 33.20 | odd | 10 | |||
1210.2.a.u.1.2 | 4 | 11.3 | even | 5 | |||
1210.2.a.v.1.2 | 4 | 11.8 | odd | 10 | |||
6050.2.a.cy.1.3 | 4 | 55.19 | odd | 10 | |||
6050.2.a.dh.1.3 | 4 | 55.14 | even | 10 | |||
9680.2.a.ci.1.3 | 4 | 44.19 | even | 10 | |||
9680.2.a.cj.1.3 | 4 | 44.3 | odd | 10 |