Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(101,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.l (of order \(9\), degree \(6\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} + \cdots + 64 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 190) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 701.2 | ||
Root | \(0.554587 - 0.960572i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 950.701 |
Dual form | 950.2.l.i.351.2 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.173648 | − | 0.984808i | 0.122788 | − | 0.696364i | ||||
\(3\) | 0.849676 | + | 0.712963i | 0.490561 | + | 0.411629i | 0.854227 | − | 0.519900i | \(-0.174031\pi\) |
−0.363667 | + | 0.931529i | \(0.618475\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.849676 | − | 0.712963i | 0.346879 | − | 0.291066i | ||||
\(7\) | 2.46456 | + | 4.26875i | 0.931518 | + | 1.61344i | 0.780729 | + | 0.624870i | \(0.214848\pi\) |
0.150789 | + | 0.988566i | \(0.451819\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −0.307311 | − | 1.74285i | −0.102437 | − | 0.580950i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.20561 | + | 3.82023i | −0.665016 | + | 1.15184i | 0.314264 | + | 0.949336i | \(0.398242\pi\) |
−0.979281 | + | 0.202507i | \(0.935091\pi\) | |||||||
\(12\) | −0.554587 | − | 0.960572i | −0.160095 | − | 0.277293i | ||||
\(13\) | −2.02230 | + | 1.69691i | −0.560884 | + | 0.470638i | −0.878607 | − | 0.477546i | \(-0.841526\pi\) |
0.317722 | + | 0.948184i | \(0.397082\pi\) | |||||||
\(14\) | 4.63187 | − | 1.68586i | 1.23792 | − | 0.450565i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −0.872649 | + | 4.94904i | −0.211649 | + | 1.20032i | 0.674980 | + | 0.737836i | \(0.264152\pi\) |
−0.886628 | + | 0.462483i | \(0.846959\pi\) | |||||||
\(18\) | −1.76973 | −0.417131 | ||||||||
\(19\) | −4.21347 | − | 1.11656i | −0.966635 | − | 0.256156i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.949379 | + | 5.38420i | −0.207172 | + | 1.17493i | ||||
\(22\) | 3.37919 | + | 2.83548i | 0.720446 | + | 0.604526i | ||||
\(23\) | −0.964570 | − | 0.351075i | −0.201127 | − | 0.0732041i | 0.239493 | − | 0.970898i | \(-0.423019\pi\) |
−0.440619 | + | 0.897694i | \(0.645241\pi\) | |||||||
\(24\) | −1.04228 | + | 0.379360i | −0.212755 | + | 0.0774364i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 1.31996 | + | 2.28624i | 0.258866 | + | 0.448368i | ||||
\(27\) | 2.64523 | − | 4.58167i | 0.509075 | − | 0.881744i | ||||
\(28\) | −0.855934 | − | 4.85424i | −0.161756 | − | 0.917366i | ||||
\(29\) | 0.462691 | + | 2.62405i | 0.0859196 | + | 0.487274i | 0.997154 | + | 0.0753868i | \(0.0240192\pi\) |
−0.911235 | + | 0.411887i | \(0.864870\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.01615 | − | 1.76003i | −0.182506 | − | 0.316110i | 0.760227 | − | 0.649657i | \(-0.225088\pi\) |
−0.942733 | + | 0.333547i | \(0.891754\pi\) | |||||||
\(32\) | 0.766044 | − | 0.642788i | 0.135419 | − | 0.113630i | ||||
\(33\) | −4.59773 | + | 1.67344i | −0.800363 | + | 0.291308i | ||||
\(34\) | 4.72232 | + | 1.71878i | 0.809871 | + | 0.294769i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.307311 | + | 1.74285i | −0.0512185 | + | 0.290475i | ||||
\(37\) | −2.00107 | −0.328975 | −0.164487 | − | 0.986379i | \(-0.552597\pi\) | ||||
−0.164487 | + | 0.986379i | \(0.552597\pi\) | |||||||
\(38\) | −1.83126 | + | 3.95557i | −0.297069 | + | 0.641678i | ||||
\(39\) | −2.92813 | −0.468876 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.65005 | + | 1.38456i | 0.257695 | + | 0.216232i | 0.762477 | − | 0.647015i | \(-0.223983\pi\) |
−0.504782 | + | 0.863247i | \(0.668427\pi\) | |||||||
\(42\) | 5.13754 | + | 1.86991i | 0.792740 | + | 0.288534i | ||||
\(43\) | 1.41929 | − | 0.516578i | 0.216439 | − | 0.0787775i | −0.231525 | − | 0.972829i | \(-0.574371\pi\) |
0.447964 | + | 0.894052i | \(0.352149\pi\) | |||||||
\(44\) | 3.37919 | − | 2.83548i | 0.509432 | − | 0.427464i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.513237 | + | 0.888952i | −0.0756727 | + | 0.131069i | ||||
\(47\) | −0.310895 | − | 1.76317i | −0.0453486 | − | 0.257185i | 0.953702 | − | 0.300754i | \(-0.0972383\pi\) |
−0.999050 | + | 0.0435690i | \(0.986127\pi\) | |||||||
\(48\) | 0.192606 | + | 1.09232i | 0.0278003 | + | 0.157663i | ||||
\(49\) | −8.64815 | + | 14.9790i | −1.23545 | + | 2.13986i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −4.26995 | + | 3.58291i | −0.597913 | + | 0.501708i | ||||
\(52\) | 2.48072 | − | 0.902907i | 0.344013 | − | 0.125211i | ||||
\(53\) | 5.28457 | + | 1.92343i | 0.725891 | + | 0.264203i | 0.678425 | − | 0.734670i | \(-0.262663\pi\) |
0.0474667 | + | 0.998873i | \(0.484885\pi\) | |||||||
\(54\) | −4.05273 | − | 3.40064i | −0.551507 | − | 0.462769i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −4.92913 | −0.658683 | ||||||||
\(57\) | −2.78402 | − | 3.95276i | −0.368752 | − | 0.523555i | ||||
\(58\) | 2.66453 | 0.349870 | ||||||||
\(59\) | 2.44041 | − | 13.8402i | 0.317714 | − | 1.80184i | −0.238869 | − | 0.971052i | \(-0.576777\pi\) |
0.556583 | − | 0.830792i | \(-0.312112\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 13.6360 | + | 4.96308i | 1.74590 | + | 0.635457i | 0.999547 | − | 0.0300876i | \(-0.00957861\pi\) |
0.746358 | + | 0.665545i | \(0.231801\pi\) | |||||||
\(62\) | −1.90974 | + | 0.695088i | −0.242537 | + | 0.0882763i | ||||
\(63\) | 6.68240 | − | 5.60720i | 0.841903 | − | 0.706441i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.849627 | + | 4.81847i | 0.104582 | + | 0.593113i | ||||
\(67\) | 2.36894 | + | 13.4349i | 0.289412 | + | 1.64134i | 0.689086 | + | 0.724679i | \(0.258012\pi\) |
−0.399674 | + | 0.916657i | \(0.630877\pi\) | |||||||
\(68\) | 2.51269 | − | 4.35211i | 0.304709 | − | 0.527771i | ||||
\(69\) | −0.569269 | − | 0.986002i | −0.0685319 | − | 0.118701i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 14.6575 | − | 5.33488i | 1.73952 | − | 0.633134i | 0.740287 | − | 0.672291i | \(-0.234690\pi\) |
0.999233 | + | 0.0391574i | \(0.0124674\pi\) | |||||||
\(72\) | 1.66301 | + | 0.605285i | 0.195987 | + | 0.0713335i | ||||
\(73\) | 9.66157 | + | 8.10702i | 1.13080 | + | 0.948855i | 0.999099 | − | 0.0424348i | \(-0.0135115\pi\) |
0.131702 | + | 0.991289i | \(0.457956\pi\) | |||||||
\(74\) | −0.347483 | + | 1.97067i | −0.0403941 | + | 0.229086i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.57748 | + | 2.49031i | 0.410365 | + | 0.285658i | ||||
\(77\) | −21.7435 | −2.47790 | ||||||||
\(78\) | −0.508465 | + | 2.88365i | −0.0575723 | + | 0.326509i | ||||
\(79\) | −2.17143 | − | 1.82205i | −0.244305 | − | 0.204996i | 0.512410 | − | 0.858741i | \(-0.328753\pi\) |
−0.756716 | + | 0.653744i | \(0.773197\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.525132 | − | 0.191132i | 0.0583480 | − | 0.0212369i | ||||
\(82\) | 1.65005 | − | 1.38456i | 0.182218 | − | 0.152899i | ||||
\(83\) | −3.64153 | − | 6.30732i | −0.399710 | − | 0.692318i | 0.593980 | − | 0.804480i | \(-0.297556\pi\) |
−0.993690 | + | 0.112162i | \(0.964222\pi\) | |||||||
\(84\) | 2.73363 | − | 4.73478i | 0.298263 | − | 0.516607i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.262274 | − | 1.48743i | −0.0282817 | − | 0.160394i | ||||
\(87\) | −1.47771 | + | 2.55947i | −0.158428 | + | 0.274404i | ||||
\(88\) | −2.20561 | − | 3.82023i | −0.235119 | − | 0.407238i | ||||
\(89\) | 7.72995 | − | 6.48620i | 0.819373 | − | 0.687536i | −0.133452 | − | 0.991055i | \(-0.542606\pi\) |
0.952825 | + | 0.303520i | \(0.0981618\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −12.2278 | − | 4.45054i | −1.28182 | − | 0.466544i | ||||
\(92\) | 0.786325 | + | 0.659805i | 0.0819800 | + | 0.0687894i | ||||
\(93\) | 0.391433 | − | 2.21993i | 0.0405897 | − | 0.230196i | ||||
\(94\) | −1.79037 | −0.184663 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.10917 | 0.113205 | ||||||||
\(97\) | −2.06772 | + | 11.7266i | −0.209945 | + | 1.19066i | 0.679521 | + | 0.733656i | \(0.262188\pi\) |
−0.889466 | + | 0.457002i | \(0.848923\pi\) | |||||||
\(98\) | 13.2497 | + | 11.1179i | 1.33843 | + | 1.12307i | ||||
\(99\) | 7.33589 | + | 2.67005i | 0.737285 | + | 0.268350i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.10632 | + | 0.928316i | −0.110083 | + | 0.0923709i | −0.696168 | − | 0.717879i | \(-0.745113\pi\) |
0.586085 | + | 0.810250i | \(0.300669\pi\) | |||||||
\(102\) | 2.78701 | + | 4.82725i | 0.275955 | + | 0.477969i | ||||
\(103\) | −2.23068 | + | 3.86364i | −0.219795 | + | 0.380696i | −0.954745 | − | 0.297425i | \(-0.903872\pi\) |
0.734950 | + | 0.678121i | \(0.237206\pi\) | |||||||
\(104\) | −0.458418 | − | 2.59982i | −0.0449515 | − | 0.254933i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.81186 | − | 4.87029i | 0.273112 | − | 0.473044i | ||||
\(107\) | −3.93147 | − | 6.80951i | −0.380070 | − | 0.658300i | 0.611002 | − | 0.791629i | \(-0.290767\pi\) |
−0.991072 | + | 0.133329i | \(0.957433\pi\) | |||||||
\(108\) | −4.05273 | + | 3.40064i | −0.389974 | + | 0.327227i | ||||
\(109\) | 2.37019 | − | 0.862678i | 0.227023 | − | 0.0826296i | −0.226004 | − | 0.974126i | \(-0.572566\pi\) |
0.453027 | + | 0.891497i | \(0.350344\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.70027 | − | 1.42669i | −0.161382 | − | 0.135416i | ||||
\(112\) | −0.855934 | + | 4.85424i | −0.0808782 | + | 0.458683i | ||||
\(113\) | −2.59814 | −0.244413 | −0.122206 | − | 0.992505i | \(-0.538997\pi\) | ||||
−0.122206 | + | 0.992505i | \(0.538997\pi\) | |||||||
\(114\) | −4.37615 | + | 2.05533i | −0.409864 | + | 0.192499i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0.462691 | − | 2.62405i | 0.0429598 | − | 0.243637i | ||||
\(117\) | 3.57893 | + | 3.00308i | 0.330872 | + | 0.277635i | ||||
\(118\) | −13.2062 | − | 4.80666i | −1.21573 | − | 0.442489i | ||||
\(119\) | −23.2769 | + | 8.47211i | −2.13379 | + | 0.776637i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.22943 | − | 7.32559i | −0.384494 | − | 0.665963i | ||||
\(122\) | 7.25554 | − | 12.5670i | 0.656886 | − | 1.13776i | ||||
\(123\) | 0.414871 | + | 2.35285i | 0.0374077 | + | 0.212150i | ||||
\(124\) | 0.352906 | + | 2.00143i | 0.0316919 | + | 0.179733i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −4.36163 | − | 7.55456i | −0.388564 | − | 0.673013i | ||||
\(127\) | 15.8752 | − | 13.3209i | 1.40869 | − | 1.18204i | 0.451614 | − | 0.892213i | \(-0.350848\pi\) |
0.957080 | − | 0.289822i | \(-0.0935962\pi\) | |||||||
\(128\) | −0.939693 | + | 0.342020i | −0.0830579 | + | 0.0302306i | ||||
\(129\) | 1.57424 | + | 0.572975i | 0.138604 | + | 0.0504476i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.301638 | + | 1.71068i | −0.0263543 | + | 0.149462i | −0.995145 | − | 0.0984163i | \(-0.968622\pi\) |
0.968791 | + | 0.247879i | \(0.0797334\pi\) | |||||||
\(132\) | 4.89281 | 0.425864 | ||||||||
\(133\) | −5.61805 | − | 20.7381i | −0.487147 | − | 1.79822i | ||||
\(134\) | 13.6422 | 1.17850 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.84967 | − | 3.23026i | −0.330107 | − | 0.276992i | ||||
\(137\) | 2.34703 | + | 0.854249i | 0.200520 | + | 0.0729834i | 0.440328 | − | 0.897837i | \(-0.354862\pi\) |
−0.239808 | + | 0.970820i | \(0.577084\pi\) | |||||||
\(138\) | −1.06988 | + | 0.389403i | −0.0910738 | + | 0.0331482i | ||||
\(139\) | 9.06390 | − | 7.60552i | 0.768790 | − | 0.645092i | −0.171609 | − | 0.985165i | \(-0.554896\pi\) |
0.940399 | + | 0.340074i | \(0.110452\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.992916 | − | 1.71978i | 0.0836186 | − | 0.144832i | ||||
\(142\) | −2.70859 | − | 15.3612i | −0.227300 | − | 1.28908i | ||||
\(143\) | −2.02218 | − | 11.4684i | −0.169103 | − | 0.959032i | ||||
\(144\) | 0.884867 | − | 1.53264i | 0.0737390 | − | 0.127720i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 9.66157 | − | 8.10702i | 0.799597 | − | 0.670942i | ||||
\(147\) | −18.0276 | + | 6.56152i | −1.48689 | + | 0.541185i | ||||
\(148\) | 1.88040 | + | 0.684408i | 0.154568 | + | 0.0562580i | ||||
\(149\) | −15.4299 | − | 12.9472i | −1.26406 | − | 1.06068i | −0.995237 | − | 0.0974880i | \(-0.968919\pi\) |
−0.268828 | − | 0.963188i | \(-0.586636\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −7.67871 | −0.624885 | −0.312442 | − | 0.949937i | \(-0.601147\pi\) | ||||
−0.312442 | + | 0.949937i | \(0.601147\pi\) | |||||||
\(152\) | 3.07370 | − | 3.09069i | 0.249310 | − | 0.250688i | ||||
\(153\) | 8.89360 | 0.719005 | ||||||||
\(154\) | −3.77571 | + | 21.4131i | −0.304256 | + | 1.72552i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 2.75154 | + | 1.00148i | 0.220300 | + | 0.0801825i | ||||
\(157\) | −5.45088 | + | 1.98396i | −0.435027 | + | 0.158337i | −0.550245 | − | 0.835003i | \(-0.685466\pi\) |
0.115218 | + | 0.993340i | \(0.463243\pi\) | |||||||
\(158\) | −2.17143 | + | 1.82205i | −0.172750 | + | 0.144954i | ||||
\(159\) | 3.11884 | + | 5.40199i | 0.247340 | + | 0.428406i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.878594 | − | 4.98275i | −0.0692429 | − | 0.392696i | ||||
\(162\) | −0.0970404 | − | 0.550344i | −0.00762422 | − | 0.0432391i | ||||
\(163\) | −5.36224 | + | 9.28767i | −0.420003 | + | 0.727466i | −0.995939 | − | 0.0900283i | \(-0.971304\pi\) |
0.575936 | + | 0.817495i | \(0.304638\pi\) | |||||||
\(164\) | −1.07700 | − | 1.86541i | −0.0840992 | − | 0.145664i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.84384 | + | 2.49095i | −0.531185 | + | 0.193335i | ||||
\(167\) | 9.29655 | + | 3.38367i | 0.719389 | + | 0.261836i | 0.675666 | − | 0.737208i | \(-0.263856\pi\) |
0.0437226 | + | 0.999044i | \(0.486078\pi\) | |||||||
\(168\) | −4.18816 | − | 3.51429i | −0.323124 | − | 0.271133i | ||||
\(169\) | −1.04724 | + | 5.93919i | −0.0805569 | + | 0.456861i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.651146 | + | 7.68657i | −0.0497944 | + | 0.587806i | ||||
\(172\) | −1.51037 | −0.115165 | ||||||||
\(173\) | 2.72662 | − | 15.4634i | 0.207301 | − | 1.17566i | −0.686477 | − | 0.727151i | \(-0.740844\pi\) |
0.893778 | − | 0.448510i | \(-0.148045\pi\) | |||||||
\(174\) | 2.26399 | + | 1.89971i | 0.171633 | + | 0.144017i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −4.14519 | + | 1.50873i | −0.312456 | + | 0.113725i | ||||
\(177\) | 11.9411 | − | 10.0198i | 0.897550 | − | 0.753134i | ||||
\(178\) | −5.04537 | − | 8.73883i | −0.378166 | − | 0.655003i | ||||
\(179\) | −5.05642 | + | 8.75798i | −0.377935 | + | 0.654602i | −0.990762 | − | 0.135615i | \(-0.956699\pi\) |
0.612827 | + | 0.790217i | \(0.290032\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.465151 | + | 2.63800i | 0.0345744 | + | 0.196081i | 0.997203 | − | 0.0747449i | \(-0.0238142\pi\) |
−0.962628 | + | 0.270826i | \(0.912703\pi\) | |||||||
\(182\) | −6.50626 | + | 11.2692i | −0.482276 | + | 0.835326i | ||||
\(183\) | 8.04765 | + | 13.9389i | 0.594899 | + | 1.03040i | ||||
\(184\) | 0.786325 | − | 0.659805i | 0.0579686 | − | 0.0486414i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −2.11823 | − | 0.770973i | −0.155316 | − | 0.0565305i | ||||
\(187\) | −16.9817 | − | 14.2494i | −1.24183 | − | 1.04202i | ||||
\(188\) | −0.310895 | + | 1.76317i | −0.0226743 | + | 0.128592i | ||||
\(189\) | 26.0774 | 1.89685 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 3.75100 | 0.271413 | 0.135706 | − | 0.990749i | \(-0.456670\pi\) | ||||
0.135706 | + | 0.990749i | \(0.456670\pi\) | |||||||
\(192\) | 0.192606 | − | 1.09232i | 0.0139001 | − | 0.0788316i | ||||
\(193\) | 11.0559 | + | 9.27700i | 0.795821 | + | 0.667773i | 0.947179 | − | 0.320706i | \(-0.103920\pi\) |
−0.151358 | + | 0.988479i | \(0.548365\pi\) | |||||||
\(194\) | 11.1894 | + | 4.07261i | 0.803353 | + | 0.292397i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 13.2497 | − | 11.1179i | 0.946410 | − | 0.794132i | ||||
\(197\) | −9.89999 | − | 17.1473i | −0.705345 | − | 1.22169i | −0.966567 | − | 0.256415i | \(-0.917459\pi\) |
0.261222 | − | 0.965279i | \(-0.415875\pi\) | |||||||
\(198\) | 3.90335 | − | 6.76079i | 0.277399 | − | 0.480469i | ||||
\(199\) | 3.46951 | + | 19.6766i | 0.245947 | + | 1.39484i | 0.818282 | + | 0.574817i | \(0.194927\pi\) |
−0.572335 | + | 0.820020i | \(0.693962\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −7.56577 | + | 13.1043i | −0.533648 | + | 0.924305i | ||||
\(202\) | 0.722101 | + | 1.25072i | 0.0508069 | + | 0.0880001i | ||||
\(203\) | −10.0611 | + | 8.44226i | −0.706150 | + | 0.592530i | ||||
\(204\) | 5.23787 | − | 1.90643i | 0.366724 | − | 0.133477i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 3.41759 | + | 2.86770i | 0.238115 | + | 0.199802i | ||||
\(207\) | −0.315447 | + | 1.78899i | −0.0219251 | + | 0.124343i | ||||
\(208\) | −2.63992 | −0.183046 | ||||||||
\(209\) | 13.5588 | − | 13.6337i | 0.937880 | − | 0.943064i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.37072 | − | 13.4450i | 0.163207 | − | 0.925594i | −0.787687 | − | 0.616076i | \(-0.788721\pi\) |
0.950894 | − | 0.309518i | \(-0.100168\pi\) | |||||||
\(212\) | −4.30802 | − | 3.61486i | −0.295876 | − | 0.248269i | ||||
\(213\) | 16.2577 | + | 5.91730i | 1.11396 | + | 0.405447i | ||||
\(214\) | −7.38875 | + | 2.68928i | −0.505084 | + | 0.183836i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 2.64523 | + | 4.58167i | 0.179985 | + | 0.311743i | ||||
\(217\) | 5.00874 | − | 8.67539i | 0.340015 | − | 0.588924i | ||||
\(218\) | −0.437993 | − | 2.48398i | −0.0296646 | − | 0.168237i | ||||
\(219\) | 2.42920 | + | 13.7767i | 0.164150 | + | 0.930941i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.63332 | − | 11.4892i | −0.446205 | − | 0.772850i | ||||
\(222\) | −1.70027 | + | 1.42669i | −0.114114 | + | 0.0957533i | ||||
\(223\) | −21.7830 | + | 7.92835i | −1.45870 | + | 0.530922i | −0.945006 | − | 0.327054i | \(-0.893944\pi\) |
−0.513690 | + | 0.857976i | \(0.671722\pi\) | |||||||
\(224\) | 4.63187 | + | 1.68586i | 0.309480 | + | 0.112641i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.451163 | + | 2.55867i | −0.0300109 | + | 0.170200i | ||||
\(227\) | 7.37892 | 0.489756 | 0.244878 | − | 0.969554i | \(-0.421252\pi\) | ||||
0.244878 | + | 0.969554i | \(0.421252\pi\) | |||||||
\(228\) | 1.26420 | + | 4.66657i | 0.0837235 | + | 0.309051i | ||||
\(229\) | −13.2440 | −0.875188 | −0.437594 | − | 0.899173i | \(-0.644169\pi\) | ||||
−0.437594 | + | 0.899173i | \(0.644169\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −18.4749 | − | 15.5023i | −1.21556 | − | 1.01998i | ||||
\(232\) | −2.50384 | − | 0.911323i | −0.164385 | − | 0.0598313i | ||||
\(233\) | 14.2271 | − | 5.17822i | 0.932045 | − | 0.339237i | 0.169025 | − | 0.985612i | \(-0.445938\pi\) |
0.763020 | + | 0.646375i | \(0.223716\pi\) | |||||||
\(234\) | 3.57893 | − | 3.00308i | 0.233962 | − | 0.196317i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −7.02687 | + | 12.1709i | −0.457410 | + | 0.792258i | ||||
\(237\) | −0.545962 | − | 3.09630i | −0.0354640 | − | 0.201126i | ||||
\(238\) | 4.30140 | + | 24.3945i | 0.278818 | + | 1.58126i | ||||
\(239\) | −5.84319 | + | 10.1207i | −0.377964 | + | 0.654653i | −0.990766 | − | 0.135583i | \(-0.956709\pi\) |
0.612802 | + | 0.790237i | \(0.290042\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 9.77297 | − | 8.20049i | 0.629532 | − | 0.528240i | −0.271251 | − | 0.962509i | \(-0.587437\pi\) |
0.900784 | + | 0.434268i | \(0.142993\pi\) | |||||||
\(242\) | −7.94873 | + | 2.89310i | −0.510964 | + | 0.185976i | ||||
\(243\) | −14.3318 | − | 5.21633i | −0.919383 | − | 0.334628i | ||||
\(244\) | −11.1161 | − | 9.32754i | −0.711637 | − | 0.597135i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 2.38915 | 0.152327 | ||||||||
\(247\) | 10.4156 | − | 4.89186i | 0.662727 | − | 0.311261i | ||||
\(248\) | 2.03230 | 0.129051 | ||||||||
\(249\) | 1.40276 | − | 7.95545i | 0.0888963 | − | 0.504156i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −25.2367 | − | 9.18541i | −1.59293 | − | 0.579778i | −0.614964 | − | 0.788556i | \(-0.710829\pi\) |
−0.977963 | + | 0.208778i | \(0.933051\pi\) | |||||||
\(252\) | −8.19717 | + | 2.98353i | −0.516373 | + | 0.187945i | ||||
\(253\) | 3.46865 | − | 2.91054i | 0.218072 | − | 0.182984i | ||||
\(254\) | −10.3618 | − | 17.9471i | −0.650157 | − | 1.12610i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 0.0277309 | + | 0.157270i | 0.00172981 | + | 0.00981023i | 0.985660 | − | 0.168741i | \(-0.0539701\pi\) |
−0.983931 | + | 0.178551i | \(0.942859\pi\) | |||||||
\(258\) | 0.837633 | − | 1.45082i | 0.0521488 | − | 0.0903243i | ||||
\(259\) | −4.93178 | − | 8.54209i | −0.306446 | − | 0.530780i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 4.43113 | − | 1.61280i | 0.274280 | − | 0.0998299i | ||||
\(262\) | 1.63231 | + | 0.594111i | 0.100844 | + | 0.0367043i | ||||
\(263\) | −7.09280 | − | 5.95157i | −0.437361 | − | 0.366990i | 0.397360 | − | 0.917663i | \(-0.369927\pi\) |
−0.834721 | + | 0.550673i | \(0.814371\pi\) | |||||||
\(264\) | 0.849627 | − | 4.81847i | 0.0522909 | − | 0.296557i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −21.3986 | + | 1.93157i | −1.31203 | + | 0.118432i | ||||
\(267\) | 11.1924 | 0.684962 | ||||||||
\(268\) | 2.36894 | − | 13.4349i | 0.144706 | − | 0.820668i | ||||
\(269\) | 9.55896 | + | 8.02092i | 0.582820 | + | 0.489044i | 0.885872 | − | 0.463930i | \(-0.153561\pi\) |
−0.303052 | + | 0.952974i | \(0.598005\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 26.5079 | − | 9.64808i | 1.61024 | − | 0.586079i | 0.628752 | − | 0.777606i | \(-0.283566\pi\) |
0.981487 | + | 0.191526i | \(0.0613437\pi\) | |||||||
\(272\) | −3.84967 | + | 3.23026i | −0.233421 | + | 0.195863i | ||||
\(273\) | −7.21657 | − | 12.4995i | −0.436766 | − | 0.756502i | ||||
\(274\) | 1.24883 | − | 2.16303i | 0.0754445 | − | 0.130674i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0.197705 | + | 1.12124i | 0.0119004 | + | 0.0674907i | ||||
\(277\) | 4.20592 | − | 7.28486i | 0.252709 | − | 0.437705i | −0.711562 | − | 0.702624i | \(-0.752012\pi\) |
0.964271 | + | 0.264919i | \(0.0853451\pi\) | |||||||
\(278\) | −5.91604 | − | 10.2469i | −0.354821 | − | 0.614567i | ||||
\(279\) | −2.75518 | + | 2.31187i | −0.164948 | + | 0.138408i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −20.9967 | − | 7.64218i | −1.25256 | − | 0.455894i | −0.371294 | − | 0.928515i | \(-0.621086\pi\) |
−0.881266 | + | 0.472621i | \(0.843308\pi\) | |||||||
\(282\) | −1.52123 | − | 1.27647i | −0.0905882 | − | 0.0760125i | ||||
\(283\) | −2.21687 | + | 12.5725i | −0.131779 | + | 0.747357i | 0.845269 | + | 0.534340i | \(0.179440\pi\) |
−0.977049 | + | 0.213016i | \(0.931671\pi\) | |||||||
\(284\) | −15.5981 | −0.925579 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −11.6453 | −0.688600 | ||||||||
\(287\) | −1.84368 | + | 10.4560i | −0.108829 | + | 0.617198i | ||||
\(288\) | −1.35570 | − | 1.13756i | −0.0798851 | − | 0.0670316i | ||||
\(289\) | −7.75671 | − | 2.82321i | −0.456277 | − | 0.166071i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −10.1175 | + | 8.48962i | −0.593100 | + | 0.497670i | ||||
\(292\) | −6.30614 | − | 10.9226i | −0.369039 | − | 0.639194i | ||||
\(293\) | −14.4554 | + | 25.0376i | −0.844496 | + | 1.46271i | 0.0415616 | + | 0.999136i | \(0.486767\pi\) |
−0.886058 | + | 0.463575i | \(0.846567\pi\) | |||||||
\(294\) | 3.33137 | + | 18.8931i | 0.194289 | + | 1.10187i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 1.00054 | − | 1.73298i | 0.0581551 | − | 0.100728i | ||||
\(297\) | 11.6687 | + | 20.2108i | 0.677086 | + | 1.17275i | ||||
\(298\) | −15.4299 | + | 12.9472i | −0.893829 | + | 0.750011i | ||||
\(299\) | 2.54639 | − | 0.926810i | 0.147261 | − | 0.0535988i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 5.70307 | + | 4.78544i | 0.328719 | + | 0.275828i | ||||
\(302\) | −1.33339 | + | 7.56206i | −0.0767282 | + | 0.435147i | ||||
\(303\) | −1.60187 | −0.0920251 | ||||||||
\(304\) | −2.50999 | − | 3.56370i | −0.143958 | − | 0.204392i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 1.54436 | − | 8.75849i | 0.0882851 | − | 0.500690i | ||||
\(307\) | −17.9758 | − | 15.0835i | −1.02593 | − | 0.860860i | −0.0355713 | − | 0.999367i | \(-0.511325\pi\) |
−0.990361 | + | 0.138507i | \(0.955770\pi\) | |||||||
\(308\) | 20.4322 | + | 7.43671i | 1.16423 | + | 0.423746i | ||||
\(309\) | −4.64999 | + | 1.69246i | −0.264528 | + | 0.0962805i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −2.12258 | − | 3.67642i | −0.120360 | − | 0.208470i | 0.799549 | − | 0.600600i | \(-0.205072\pi\) |
−0.919910 | + | 0.392130i | \(0.871738\pi\) | |||||||
\(312\) | 1.46407 | − | 2.53584i | 0.0828864 | − | 0.143563i | ||||
\(313\) | 2.01689 | + | 11.4384i | 0.114001 | + | 0.646534i | 0.987240 | + | 0.159241i | \(0.0509046\pi\) |
−0.873238 | + | 0.487293i | \(0.837984\pi\) | |||||||
\(314\) | 1.00728 | + | 5.71258i | 0.0568442 | + | 0.322379i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.41730 | + | 2.45484i | 0.0797295 | + | 0.138096i | ||||
\(317\) | 1.71306 | − | 1.43742i | 0.0962148 | − | 0.0807338i | −0.593411 | − | 0.804899i | \(-0.702219\pi\) |
0.689626 | + | 0.724165i | \(0.257775\pi\) | |||||||
\(318\) | 5.86150 | − | 2.13341i | 0.328697 | − | 0.119636i | ||||
\(319\) | −11.0450 | − | 4.02005i | −0.618401 | − | 0.225080i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.51445 | − | 8.58887i | 0.0845283 | − | 0.479384i | ||||
\(322\) | −5.05962 | −0.281962 | ||||||||
\(323\) | 9.20277 | − | 19.8783i | 0.512056 | − | 1.10606i | ||||
\(324\) | −0.558833 | −0.0310463 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 8.21542 | + | 6.89356i | 0.455010 | + | 0.381799i | ||||
\(327\) | 2.62895 | + | 0.956860i | 0.145381 | + | 0.0529145i | ||||
\(328\) | −2.02409 | + | 0.736709i | −0.111762 | + | 0.0406779i | ||||
\(329\) | 6.76032 | − | 5.67258i | 0.372708 | − | 0.312739i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.254634 | − | 0.441039i | 0.0139959 | − | 0.0242417i | −0.858943 | − | 0.512072i | \(-0.828878\pi\) |
0.872939 | + | 0.487830i | \(0.162211\pi\) | |||||||
\(332\) | 1.26469 | + | 7.17241i | 0.0694089 | + | 0.393637i | ||||
\(333\) | 0.614953 | + | 3.48757i | 0.0336992 | + | 0.191118i | ||||
\(334\) | 4.94659 | − | 8.56775i | 0.270666 | − | 0.468806i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −4.18816 | + | 3.51429i | −0.228483 | + | 0.191720i | ||||
\(337\) | −14.1717 | + | 5.15806i | −0.771979 | + | 0.280977i | −0.697824 | − | 0.716269i | \(-0.745848\pi\) |
−0.0741552 | + | 0.997247i | \(0.523626\pi\) | |||||||
\(338\) | 5.66711 | + | 2.06266i | 0.308250 | + | 0.112194i | ||||
\(339\) | −2.20758 | − | 1.85238i | −0.119899 | − | 0.100607i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 8.96493 | 0.485478 | ||||||||
\(342\) | 7.45672 | + | 1.97601i | 0.403213 | + | 0.106850i | ||||
\(343\) | −50.7518 | −2.74034 | ||||||||
\(344\) | −0.262274 | + | 1.48743i | −0.0141409 | + | 0.0801968i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −14.7550 | − | 5.37038i | −0.793234 | − | 0.288714i | ||||
\(347\) | 31.7415 | − | 11.5530i | 1.70398 | − | 0.620196i | 0.707707 | − | 0.706506i | \(-0.249730\pi\) |
0.996268 | + | 0.0863093i | \(0.0275073\pi\) | |||||||
\(348\) | 2.26399 | − | 1.89971i | 0.121363 | − | 0.101835i | ||||
\(349\) | 0.0164139 | + | 0.0284297i | 0.000878615 | + | 0.00152181i | 0.866464 | − | 0.499239i | \(-0.166387\pi\) |
−0.865586 | + | 0.500761i | \(0.833054\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.42524 | + | 13.7542i | 0.129450 | + | 0.734146i | ||||
\(352\) | 0.766000 | + | 4.34420i | 0.0408280 | + | 0.231547i | ||||
\(353\) | −0.140488 | + | 0.243332i | −0.00747740 | + | 0.0129512i | −0.869740 | − | 0.493510i | \(-0.835713\pi\) |
0.862262 | + | 0.506462i | \(0.169047\pi\) | |||||||
\(354\) | −7.79401 | − | 13.4996i | −0.414247 | − | 0.717497i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −9.48219 | + | 3.45123i | −0.502555 | + | 0.182915i | ||||
\(357\) | −25.8181 | − | 9.39703i | −1.36644 | − | 0.497344i | ||||
\(358\) | 7.74689 | + | 6.50041i | 0.409436 | + | 0.343557i | ||||
\(359\) | 2.29364 | − | 13.0079i | 0.121054 | − | 0.686530i | −0.862520 | − | 0.506023i | \(-0.831115\pi\) |
0.983574 | − | 0.180507i | \(-0.0577738\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 16.5066 | + | 9.40916i | 0.868768 | + | 0.495219i | ||||
\(362\) | 2.67870 | 0.140789 | ||||||||
\(363\) | 1.62923 | − | 9.23981i | 0.0855122 | − | 0.484964i | ||||
\(364\) | 9.96816 | + | 8.36428i | 0.522474 | + | 0.438408i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 15.1246 | − | 5.50492i | 0.790577 | − | 0.287747i | ||||
\(367\) | −7.89363 | + | 6.62354i | −0.412044 | + | 0.345746i | −0.825127 | − | 0.564948i | \(-0.808896\pi\) |
0.413083 | + | 0.910693i | \(0.364452\pi\) | |||||||
\(368\) | −0.513237 | − | 0.888952i | −0.0267543 | − | 0.0463398i | ||||
\(369\) | 1.90600 | − | 3.30128i | 0.0992222 | − | 0.171858i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 4.81354 | + | 27.2989i | 0.249906 | + | 1.41729i | ||||
\(372\) | −1.12709 | + | 1.95217i | −0.0584368 | + | 0.101215i | ||||
\(373\) | 14.1948 | + | 24.5861i | 0.734977 | + | 1.27302i | 0.954733 | + | 0.297463i | \(0.0961406\pi\) |
−0.219756 | + | 0.975555i | \(0.570526\pi\) | |||||||
\(374\) | −16.9817 | + | 14.2494i | −0.878105 | + | 0.736818i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.68240 | + | 0.612343i | 0.0867631 | + | 0.0315792i | ||||
\(377\) | −5.38848 | − | 4.52147i | −0.277521 | − | 0.232867i | ||||
\(378\) | 4.52829 | − | 25.6812i | 0.232910 | − | 1.32090i | ||||
\(379\) | 19.1984 | 0.986157 | 0.493079 | − | 0.869985i | \(-0.335871\pi\) | ||||
0.493079 | + | 0.869985i | \(0.335871\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 22.9860 | 1.17761 | ||||||||
\(382\) | 0.651355 | − | 3.69402i | 0.0333262 | − | 0.189002i | ||||
\(383\) | −15.9934 | − | 13.4201i | −0.817226 | − | 0.685734i | 0.135095 | − | 0.990833i | \(-0.456866\pi\) |
−0.952321 | + | 0.305099i | \(0.901311\pi\) | |||||||
\(384\) | −1.04228 | − | 0.379360i | −0.0531887 | − | 0.0193591i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 11.0559 | − | 9.27700i | 0.562731 | − | 0.472187i | ||||
\(387\) | −1.33648 | − | 2.31485i | −0.0679371 | − | 0.117671i | ||||
\(388\) | 5.95376 | − | 10.3122i | 0.302256 | − | 0.523523i | ||||
\(389\) | 2.69629 | + | 15.2914i | 0.136707 | + | 0.775304i | 0.973656 | + | 0.228023i | \(0.0732261\pi\) |
−0.836949 | + | 0.547281i | \(0.815663\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.57921 | − | 4.46733i | 0.130436 | − | 0.225923i | ||||
\(392\) | −8.64815 | − | 14.9790i | −0.436798 | − | 0.756556i | ||||
\(393\) | −1.47594 | + | 1.23846i | −0.0744515 | + | 0.0624722i | ||||
\(394\) | −18.6059 | + | 6.77199i | −0.937351 | + | 0.341168i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −5.98027 | − | 5.01804i | −0.300520 | − | 0.252166i | ||||
\(397\) | −0.836373 | + | 4.74331i | −0.0419764 | + | 0.238060i | −0.998576 | − | 0.0533453i | \(-0.983012\pi\) |
0.956600 | + | 0.291405i | \(0.0941227\pi\) | |||||||
\(398\) | 19.9801 | 1.00151 | ||||||||
\(399\) | 10.0119 | − | 21.6261i | 0.501224 | − | 1.08266i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −2.15856 | + | 12.2418i | −0.107793 | + | 0.611326i | 0.882275 | + | 0.470735i | \(0.156011\pi\) |
−0.990068 | + | 0.140591i | \(0.955100\pi\) | |||||||
\(402\) | 11.5914 | + | 9.72636i | 0.578128 | + | 0.485107i | ||||
\(403\) | 5.04156 | + | 1.83498i | 0.251138 | + | 0.0914068i | ||||
\(404\) | 1.35711 | − | 0.493947i | 0.0675186 | − | 0.0245748i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 6.56691 | + | 11.3742i | 0.325910 | + | 0.564493i | ||||
\(407\) | 4.41359 | − | 7.64456i | 0.218774 | − | 0.378927i | ||||
\(408\) | −0.967919 | − | 5.48934i | −0.0479191 | − | 0.271763i | ||||
\(409\) | −2.99828 | − | 17.0041i | −0.148255 | − | 0.840797i | −0.964696 | − | 0.263367i | \(-0.915167\pi\) |
0.816440 | − | 0.577430i | \(-0.195944\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.38517 | + | 2.39918i | 0.0683253 | + | 0.118343i | ||||
\(412\) | 3.41759 | − | 2.86770i | 0.168373 | − | 0.141282i | ||||
\(413\) | 65.0950 | − | 23.6926i | 3.20312 | − | 1.16584i | ||||
\(414\) | 1.70703 | + | 0.621309i | 0.0838961 | + | 0.0305357i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −0.458418 | + | 2.59982i | −0.0224758 | + | 0.127466i | ||||
\(417\) | 13.1238 | 0.642677 | ||||||||
\(418\) | −11.0721 | − | 15.7203i | −0.541556 | − | 0.768903i | ||||
\(419\) | 18.2962 | 0.893827 | 0.446914 | − | 0.894577i | \(-0.352523\pi\) | ||||
0.446914 | + | 0.894577i | \(0.352523\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 21.4711 | + | 18.0164i | 1.04644 | + | 0.878067i | 0.992715 | − | 0.120489i | \(-0.0384462\pi\) |
0.0537246 | + | 0.998556i | \(0.482891\pi\) | |||||||
\(422\) | −12.8291 | − | 4.66941i | −0.624510 | − | 0.227303i | ||||
\(423\) | −2.97740 | + | 1.08368i | −0.144766 | + | 0.0526905i | ||||
\(424\) | −4.30802 | + | 3.61486i | −0.209216 | + | 0.175553i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 8.65052 | − | 14.9831i | 0.419119 | − | 0.725935i | ||||
\(427\) | 12.4205 | + | 70.4403i | 0.601072 | + | 3.40885i | ||||
\(428\) | 1.36539 | + | 7.74349i | 0.0659984 | + | 0.374296i | ||||
\(429\) | 6.45831 | − | 11.1861i | 0.311810 | − | 0.540071i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 11.8489 | − | 9.94239i | 0.570740 | − | 0.478908i | −0.311151 | − | 0.950360i | \(-0.600715\pi\) |
0.881892 | + | 0.471452i | \(0.156270\pi\) | |||||||
\(432\) | 4.97141 | − | 1.80944i | 0.239187 | − | 0.0870569i | ||||
\(433\) | 13.2327 | + | 4.81630i | 0.635922 | + | 0.231457i | 0.639807 | − | 0.768536i | \(-0.279014\pi\) |
−0.00388467 | + | 0.999992i | \(0.501237\pi\) | |||||||
\(434\) | −7.67383 | − | 6.43911i | −0.368356 | − | 0.309087i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.52230 | −0.120796 | ||||||||
\(437\) | 3.67219 | + | 2.55624i | 0.175665 | + | 0.122282i | ||||
\(438\) | 13.9892 | 0.668430 | ||||||||
\(439\) | 1.61433 | − | 9.15534i | 0.0770479 | − | 0.436961i | −0.921743 | − | 0.387801i | \(-0.873235\pi\) |
0.998791 | − | 0.0491593i | \(-0.0156542\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 28.7639 | + | 10.4692i | 1.36971 | + | 0.498533i | ||||
\(442\) | −12.4666 | + | 4.53746i | −0.592974 | + | 0.215825i | ||||
\(443\) | 9.11448 | − | 7.64795i | 0.433042 | − | 0.363365i | −0.400056 | − | 0.916491i | \(-0.631009\pi\) |
0.833098 | + | 0.553125i | \(0.186565\pi\) | |||||||
\(444\) | 1.10977 | + | 1.92218i | 0.0526673 | + | 0.0912225i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 4.02533 | + | 22.8288i | 0.190605 | + | 1.08097i | ||||
\(447\) | −3.87952 | − | 22.0019i | −0.183495 | − | 1.04065i | ||||
\(448\) | 2.46456 | − | 4.26875i | 0.116440 | − | 0.201680i | ||||
\(449\) | 9.95157 | + | 17.2366i | 0.469644 | + | 0.813446i | 0.999398 | − | 0.0347048i | \(-0.0110491\pi\) |
−0.529754 | + | 0.848151i | \(0.677716\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −8.92871 | + | 3.24978i | −0.420436 | + | 0.153026i | ||||
\(452\) | 2.44146 | + | 0.888617i | 0.114836 | + | 0.0417970i | ||||
\(453\) | −6.52442 | − | 5.47464i | −0.306544 | − | 0.257221i | ||||
\(454\) | 1.28134 | − | 7.26682i | 0.0601361 | − | 0.341049i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 4.81520 | − | 0.434651i | 0.225492 | − | 0.0203544i | ||||
\(457\) | 36.8095 | 1.72188 | 0.860939 | − | 0.508708i | \(-0.169877\pi\) | ||||
0.860939 | + | 0.508708i | \(0.169877\pi\) | |||||||
\(458\) | −2.29980 | + | 13.0428i | −0.107462 | + | 0.609449i | ||||
\(459\) | 20.3665 | + | 17.0896i | 0.950628 | + | 0.797672i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −28.6287 | + | 10.4200i | −1.33337 | + | 0.485308i | −0.907719 | − | 0.419578i | \(-0.862178\pi\) |
−0.425653 | + | 0.904886i | \(0.639956\pi\) | |||||||
\(462\) | −18.4749 | + | 15.5023i | −0.859530 | + | 0.721232i | ||||
\(463\) | −11.1988 | − | 19.3969i | −0.520454 | − | 0.901452i | −0.999717 | − | 0.0237813i | \(-0.992429\pi\) |
0.479263 | − | 0.877671i | \(-0.340904\pi\) | |||||||
\(464\) | −1.33227 | + | 2.30755i | −0.0618489 | + | 0.107125i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.62905 | − | 14.9101i | −0.121789 | − | 0.690697i | ||||
\(467\) | −7.39165 | + | 12.8027i | −0.342045 | + | 0.592439i | −0.984812 | − | 0.173623i | \(-0.944453\pi\) |
0.642768 | + | 0.766061i | \(0.277786\pi\) | |||||||
\(468\) | −2.33598 | − | 4.04604i | −0.107981 | − | 0.187028i | ||||
\(469\) | −51.5119 | + | 43.2236i | −2.37860 | + | 1.99588i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −6.04597 | − | 2.20055i | −0.278583 | − | 0.101396i | ||||
\(472\) | 10.7658 | + | 9.03357i | 0.495535 | + | 0.415804i | ||||
\(473\) | −1.15695 | + | 6.56137i | −0.0531965 | + | 0.301692i | ||||
\(474\) | −3.14407 | −0.144412 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 24.7708 | 1.13537 | ||||||||
\(477\) | 1.72823 | − | 9.80130i | 0.0791303 | − | 0.448770i | ||||
\(478\) | 8.95228 | + | 7.51186i | 0.409468 | + | 0.343584i | ||||
\(479\) | 25.2882 | + | 9.20416i | 1.15545 | + | 0.420549i | 0.847469 | − | 0.530844i | \(-0.178125\pi\) |
0.307979 | + | 0.951393i | \(0.400347\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.04677 | − | 3.39564i | 0.184517 | − | 0.154828i | ||||
\(482\) | −6.37885 | − | 11.0485i | −0.290549 | − | 0.503245i | ||||
\(483\) | 2.80600 | − | 4.86013i | 0.127677 | − | 0.221144i | ||||
\(484\) | 1.46887 | + | 8.33035i | 0.0667667 | + | 0.378652i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −7.62577 | + | 13.2082i | −0.345912 | + | 0.599137i | ||||
\(487\) | −7.09140 | − | 12.2827i | −0.321342 | − | 0.556581i | 0.659423 | − | 0.751772i | \(-0.270801\pi\) |
−0.980765 | + | 0.195191i | \(0.937467\pi\) | |||||||
\(488\) | −11.1161 | + | 9.32754i | −0.503204 | + | 0.422238i | ||||
\(489\) | −11.1779 | + | 4.06843i | −0.505483 | + | 0.183981i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 7.44701 | + | 6.24878i | 0.336079 | + | 0.282004i | 0.795171 | − | 0.606385i | \(-0.207381\pi\) |
−0.459092 | + | 0.888389i | \(0.651825\pi\) | |||||||
\(492\) | 0.414871 | − | 2.35285i | 0.0187039 | − | 0.106075i | ||||
\(493\) | −13.3903 | −0.603069 | ||||||||
\(494\) | −3.00889 | − | 11.1068i | −0.135376 | − | 0.499719i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.352906 | − | 2.00143i | 0.0158459 | − | 0.0898667i | ||||
\(497\) | 58.8975 | + | 49.4209i | 2.64191 | + | 2.21683i | ||||
\(498\) | −7.59100 | − | 2.76290i | −0.340161 | − | 0.123808i | ||||
\(499\) | 11.5577 | − | 4.20666i | 0.517394 | − | 0.188316i | −0.0701069 | − | 0.997539i | \(-0.522334\pi\) |
0.587501 | + | 0.809223i | \(0.300112\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 5.48663 | + | 9.50312i | 0.245124 | + | 0.424568i | ||||
\(502\) | −13.4282 | + | 23.2583i | −0.599329 | + | 1.03807i | ||||
\(503\) | 4.32801 | + | 24.5454i | 0.192976 | + | 1.09442i | 0.915271 | + | 0.402839i | \(0.131976\pi\) |
−0.722295 | + | 0.691586i | \(0.756913\pi\) | |||||||
\(504\) | 1.51478 | + | 8.59073i | 0.0674735 | + | 0.382661i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −2.26400 | − | 3.92136i | −0.100647 | − | 0.174326i | ||||
\(507\) | −5.12424 | + | 4.29974i | −0.227575 | + | 0.190958i | ||||
\(508\) | −19.4738 | + | 7.08788i | −0.864010 | + | 0.314474i | ||||
\(509\) | 12.5923 | + | 4.58321i | 0.558142 | + | 0.203147i | 0.605660 | − | 0.795723i | \(-0.292909\pi\) |
−0.0475184 | + | 0.998870i | \(0.515131\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −10.7953 | + | 61.2231i | −0.477555 | + | 2.70835i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −16.2613 | + | 16.3512i | −0.717954 | + | 0.721922i | ||||
\(514\) | 0.159696 | 0.00704389 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −1.28333 | − | 1.07684i | −0.0564954 | − | 0.0474053i | ||||
\(517\) | 7.42143 | + | 2.70118i | 0.326394 | + | 0.118798i | ||||
\(518\) | −9.26871 | + | 3.37353i | −0.407244 | + | 0.148225i | ||||
\(519\) | 13.3416 | − | 11.1949i | 0.585630 | − | 0.491402i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −0.583692 | + | 1.01098i | −0.0255720 | + | 0.0442920i | −0.878528 | − | 0.477690i | \(-0.841474\pi\) |
0.852956 | + | 0.521983i | \(0.174807\pi\) | |||||||
\(522\) | −0.818841 | − | 4.64388i | −0.0358397 | − | 0.203257i | ||||
\(523\) | 1.63636 | + | 9.28028i | 0.0715532 | + | 0.405798i | 0.999456 | + | 0.0329765i | \(0.0104986\pi\) |
−0.927903 | + | 0.372822i | \(0.878390\pi\) | |||||||
\(524\) | 0.868533 | − | 1.50434i | 0.0379420 | − | 0.0657175i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −7.09280 | + | 5.95157i | −0.309261 | + | 0.259501i | ||||
\(527\) | 9.59718 | − | 3.49309i | 0.418060 | − | 0.152161i | ||||
\(528\) | −4.59773 | − | 1.67344i | −0.200091 | − | 0.0728271i | ||||
\(529\) | −16.8119 | − | 14.1068i | −0.730951 | − | 0.613341i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −24.8714 | −1.07933 | ||||||||
\(532\) | −1.81359 | + | 21.4089i | −0.0786293 | + | 0.928193i | ||||
\(533\) | −5.68637 | −0.246304 | ||||||||
\(534\) | 1.94353 | − | 11.0223i | 0.0841050 | − | 0.476983i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −12.8194 | − | 4.66590i | −0.553716 | − | 0.201536i | ||||
\(537\) | −10.5404 | + | 3.83640i | −0.454853 | + | 0.165553i | ||||
\(538\) | 9.55896 | − | 8.02092i | 0.412116 | − | 0.345807i | ||||
\(539\) | −38.1489 | − | 66.0759i | −1.64319 | − | 2.84609i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −7.26524 | − | 41.2032i | −0.312357 | − | 1.77147i | −0.586671 | − | 0.809825i | \(-0.699562\pi\) |
0.274314 | − | 0.961640i | \(-0.411549\pi\) | |||||||
\(542\) | −4.89846 | − | 27.7806i | −0.210407 | − | 1.19328i | ||||
\(543\) | −1.48557 | + | 2.57308i | −0.0637520 | + | 0.110422i | ||||
\(544\) | 2.51269 | + | 4.35211i | 0.107731 | + | 0.186595i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −13.5627 | + | 4.93642i | −0.580430 | + | 0.211259i | ||||
\(547\) | 26.4147 | + | 9.61418i | 1.12941 | + | 0.411073i | 0.838079 | − | 0.545549i | \(-0.183679\pi\) |
0.291334 | + | 0.956622i | \(0.405901\pi\) | |||||||
\(548\) | −1.91332 | − | 1.60546i | −0.0817328 | − | 0.0685820i | ||||
\(549\) | 4.45942 | − | 25.2906i | 0.190323 | − | 1.07938i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.980372 | − | 11.5730i | 0.0417653 | − | 0.493025i | ||||
\(552\) | 1.13854 | 0.0484594 | ||||||||
\(553\) | 2.42623 | − | 13.7599i | 0.103174 | − | 0.585129i | ||||
\(554\) | −6.44384 | − | 5.40702i | −0.273772 | − | 0.229722i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −11.1185 | + | 4.04681i | −0.471530 | + | 0.171623i | ||||
\(557\) | −9.45200 | + | 7.93117i | −0.400494 | + | 0.336055i | −0.820685 | − | 0.571381i | \(-0.806408\pi\) |
0.420190 | + | 0.907436i | \(0.361963\pi\) | |||||||
\(558\) | 1.79832 | + | 3.11478i | 0.0761289 | + | 0.131859i | ||||
\(559\) | −1.99364 | + | 3.45308i | −0.0843218 | + | 0.146050i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −4.26971 | − | 24.2147i | −0.180267 | − | 1.02235i | ||||
\(562\) | −11.1721 | + | 19.3507i | −0.471268 | + | 0.816259i | ||||
\(563\) | −7.22347 | − | 12.5114i | −0.304433 | − | 0.527293i | 0.672702 | − | 0.739914i | \(-0.265134\pi\) |
−0.977135 | + | 0.212620i | \(0.931800\pi\) | |||||||
\(564\) | −1.52123 | + | 1.27647i | −0.0640555 | + | 0.0537490i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 11.9965 | + | 4.36638i | 0.504252 | + | 0.183533i | ||||
\(567\) | 2.11012 | + | 1.77060i | 0.0886166 | + | 0.0743581i | ||||
\(568\) | −2.70859 | + | 15.3612i | −0.113650 | + | 0.644540i | ||||
\(569\) | 31.8303 | 1.33439 | 0.667197 | − | 0.744881i | \(-0.267494\pi\) | ||||
0.667197 | + | 0.744881i | \(0.267494\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −9.10909 | −0.381204 | −0.190602 | − | 0.981667i | \(-0.561044\pi\) | ||||
−0.190602 | + | 0.981667i | \(0.561044\pi\) | |||||||
\(572\) | −2.02218 | + | 11.4684i | −0.0845516 | + | 0.479516i | ||||
\(573\) | 3.18714 | + | 2.67432i | 0.133145 | + | 0.111722i | ||||
\(574\) | 9.97700 | + | 3.63133i | 0.416432 | + | 0.151569i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −1.35570 | + | 1.13756i | −0.0564873 | + | 0.0473985i | ||||
\(577\) | 5.84857 | + | 10.1300i | 0.243479 | + | 0.421718i | 0.961703 | − | 0.274094i | \(-0.0883779\pi\) |
−0.718224 | + | 0.695812i | \(0.755045\pi\) | |||||||
\(578\) | −4.12726 | + | 7.14863i | −0.171671 | + | 0.297344i | ||||
\(579\) | 2.77978 | + | 15.7649i | 0.115524 | + | 0.655167i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 17.9496 | − | 31.0896i | 0.744674 | − | 1.28981i | ||||
\(582\) | 6.60375 | + | 11.4380i | 0.273734 | + | 0.474122i | ||||
\(583\) | −19.0036 | + | 15.9459i | −0.787050 | + | 0.660413i | ||||
\(584\) | −11.8517 | + | 4.31365i | −0.490425 | + | 0.178500i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 22.1470 | + | 18.5836i | 0.914885 | + | 0.767680i | ||||
\(587\) | 5.33986 | − | 30.2839i | 0.220400 | − | 1.24995i | −0.650887 | − | 0.759175i | \(-0.725603\pi\) |
0.871287 | − | 0.490774i | \(-0.163286\pi\) | |||||||
\(588\) | 19.1846 | 0.791160 | ||||||||
\(589\) | 2.31635 | + | 8.55040i | 0.0954435 | + | 0.352313i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 3.81359 | − | 21.6280i | 0.156870 | − | 0.889655i | ||||
\(592\) | −1.53291 | − | 1.28627i | −0.0630023 | − | 0.0528652i | ||||
\(593\) | 5.82573 | + | 2.12039i | 0.239234 | + | 0.0870741i | 0.458855 | − | 0.888511i | \(-0.348260\pi\) |
−0.219621 | + | 0.975585i | \(0.570482\pi\) | |||||||
\(594\) | 21.9300 | − | 7.98186i | 0.899798 | − | 0.327500i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 10.0711 | + | 17.4437i | 0.412530 | + | 0.714523i | ||||
\(597\) | −11.0807 | + | 19.1924i | −0.453503 | + | 0.785491i | ||||
\(598\) | −0.470554 | − | 2.66864i | −0.0192424 | − | 0.109129i | ||||
\(599\) | −5.09116 | − | 28.8734i | −0.208019 | − | 1.17973i | −0.892618 | − | 0.450815i | \(-0.851134\pi\) |
0.684599 | − | 0.728920i | \(-0.259978\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 23.1718 | + | 40.1348i | 0.945199 | + | 1.63713i | 0.755353 | + | 0.655318i | \(0.227466\pi\) |
0.189846 | + | 0.981814i | \(0.439201\pi\) | |||||||
\(602\) | 5.70307 | − | 4.78544i | 0.232440 | − | 0.195040i | ||||
\(603\) | 22.6870 | − | 8.25740i | 0.923887 | − | 0.336267i | ||||
\(604\) | 7.21563 | + | 2.62627i | 0.293600 | + | 0.106862i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −0.278162 | + | 1.57754i | −0.0112996 | + | 0.0640830i | ||||
\(607\) | −25.4409 | −1.03262 | −0.516308 | − | 0.856403i | \(-0.672694\pi\) | ||||
−0.516308 | + | 0.856403i | \(0.672694\pi\) | |||||||
\(608\) | −3.94541 | + | 1.85303i | −0.160008 | + | 0.0751503i | ||||
\(609\) | −14.5677 | −0.590312 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 3.62066 | + | 3.03810i | 0.146476 | + | 0.122908i | ||||
\(612\) | −8.35725 | − | 3.04179i | −0.337822 | − | 0.122957i | ||||
\(613\) | −28.6870 | + | 10.4412i | −1.15866 | + | 0.421717i | −0.848618 | − | 0.529006i | \(-0.822565\pi\) |
−0.310041 | + | 0.950723i | \(0.600343\pi\) | |||||||
\(614\) | −17.9758 | + | 15.0835i | −0.725444 | + | 0.608720i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 10.8717 | − | 18.8304i | 0.438035 | − | 0.758698i | ||||
\(617\) | −1.05883 | − | 6.00494i | −0.0426270 | − | 0.241750i | 0.956048 | − | 0.293210i | \(-0.0947235\pi\) |
−0.998675 | + | 0.0514603i | \(0.983612\pi\) | |||||||
\(618\) | 0.859283 | + | 4.87323i | 0.0345654 | + | 0.196030i | ||||
\(619\) | −9.07568 | + | 15.7195i | −0.364782 | + | 0.631821i | −0.988741 | − | 0.149636i | \(-0.952190\pi\) |
0.623959 | + | 0.781457i | \(0.285523\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −4.16002 | + | 3.49067i | −0.166936 | + | 0.140076i | ||||
\(622\) | −3.98914 | + | 1.45193i | −0.159950 | + | 0.0582171i | ||||
\(623\) | 46.7389 | + | 17.0116i | 1.87255 | + | 0.681554i | ||||
\(624\) | −2.24308 | − | 1.88217i | −0.0897950 | − | 0.0753469i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 11.6148 | 0.464221 | ||||||||
\(627\) | 21.2409 | − | 1.91734i | 0.848279 | − | 0.0765712i | ||||
\(628\) | 5.80070 | 0.231473 | ||||||||
\(629\) | 1.74624 | − | 9.90340i | 0.0696270 | − | 0.394874i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.9306 | − | 5.43428i | −0.594376 | − | 0.216335i | 0.0272768 | − | 0.999628i | \(-0.491316\pi\) |
−0.621653 | + | 0.783293i | \(0.713539\pi\) | |||||||
\(632\) | 2.66366 | − | 0.969492i | 0.105955 | − | 0.0385643i | ||||
\(633\) | 11.6001 | − | 9.73368i | 0.461064 | − | 0.386879i | ||||
\(634\) | −1.11812 | − | 1.93664i | −0.0444061 | − | 0.0769137i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −1.08316 | − | 6.14292i | −0.0429502 | − | 0.243582i | ||||
\(637\) | −7.92893 | − | 44.9672i | −0.314156 | − | 1.78167i | ||||
\(638\) | −5.87692 | + | 10.1791i | −0.232669 | + | 0.402995i | ||||
\(639\) | −13.8023 | − | 23.9063i | −0.546010 | − | 0.945717i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 33.1458 | − | 12.0641i | 1.30918 | − | 0.476503i | 0.409205 | − | 0.912443i | \(-0.365806\pi\) |
0.899976 | + | 0.435940i | \(0.143584\pi\) | |||||||
\(642\) | −8.19540 | − | 2.98288i | −0.323447 | − | 0.117725i | ||||
\(643\) | 6.39841 | + | 5.36891i | 0.252329 | + | 0.211729i | 0.760174 | − | 0.649719i | \(-0.225113\pi\) |
−0.507846 | + | 0.861448i | \(0.669558\pi\) | |||||||
\(644\) | −0.878594 | + | 4.98275i | −0.0346215 | + | 0.196348i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −17.9782 | − | 12.5148i | −0.707343 | − | 0.492387i | ||||
\(647\) | 12.0057 | 0.471991 | 0.235995 | − | 0.971754i | \(-0.424165\pi\) | ||||
0.235995 | + | 0.971754i | \(0.424165\pi\) | |||||||
\(648\) | −0.0970404 | + | 0.550344i | −0.00381211 | + | 0.0216195i | ||||
\(649\) | 47.4903 | + | 39.8491i | 1.86416 | + | 1.56421i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 10.4410 | − | 3.80023i | 0.409216 | − | 0.148943i | ||||
\(652\) | 8.21542 | − | 6.89356i | 0.321741 | − | 0.269973i | ||||
\(653\) | −19.5180 | − | 33.8062i | −0.763798 | − | 1.32294i | −0.940880 | − | 0.338741i | \(-0.889999\pi\) |
0.177081 | − | 0.984196i | \(-0.443334\pi\) | |||||||
\(654\) | 1.39884 | − | 2.42285i | 0.0546988 | − | 0.0947411i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0.374037 | + | 2.12127i | 0.0146037 | + | 0.0828216i | ||||
\(657\) | 11.1602 | − | 19.3300i | 0.435401 | − | 0.754136i | ||||
\(658\) | −4.41248 | − | 7.64265i | −0.172017 | − | 0.297941i | ||||
\(659\) | −3.38617 | + | 2.84133i | −0.131906 | + | 0.110683i | −0.706354 | − | 0.707859i | \(-0.749661\pi\) |
0.574448 | + | 0.818541i | \(0.305217\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5.32012 | + | 1.93636i | 0.206929 | + | 0.0753159i | 0.443405 | − | 0.896321i | \(-0.353770\pi\) |
−0.236476 | + | 0.971637i | \(0.575993\pi\) | |||||||
\(662\) | −0.390122 | − | 0.327351i | −0.0151625 | − | 0.0127229i | ||||
\(663\) | 2.55523 | − | 14.4914i | 0.0992370 | − | 0.562801i | ||||
\(664\) | 7.28306 | 0.282638 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 3.54137 | 0.137225 | ||||||||
\(667\) | 0.474940 | − | 2.69352i | 0.0183898 | − | 0.104294i | ||||
\(668\) | −7.57862 | − | 6.35922i | −0.293226 | − | 0.246046i | ||||
\(669\) | −24.1611 | − | 8.79392i | −0.934122 | − | 0.339992i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −49.0357 | + | 41.1458i | −1.89300 | + | 1.58842i | ||||
\(672\) | 2.73363 | + | 4.73478i | 0.105452 | + | 0.182648i | ||||
\(673\) | 8.18457 | − | 14.1761i | 0.315492 | − | 0.546448i | −0.664050 | − | 0.747688i | \(-0.731164\pi\) |
0.979542 | + | 0.201240i | \(0.0644971\pi\) | |||||||
\(674\) | 2.61882 | + | 14.8520i | 0.100873 | + | 0.572079i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.01541 | − | 5.22284i | 0.115977 | − | 0.200878i | ||||
\(677\) | −9.37064 | − | 16.2304i | −0.360143 | − | 0.623786i | 0.627841 | − | 0.778341i | \(-0.283939\pi\) |
−0.987984 | + | 0.154556i | \(0.950605\pi\) | |||||||
\(678\) | −2.20758 | + | 1.85238i | −0.0847816 | + | 0.0711402i | ||||
\(679\) | −55.1540 | + | 20.0744i | −2.11662 | + | 0.770386i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 6.26969 | + | 5.26089i | 0.240255 | + | 0.201598i | ||||
\(682\) | 1.55674 | − | 8.82873i | 0.0596108 | − | 0.338070i | ||||
\(683\) | −11.1202 | −0.425501 | −0.212751 | − | 0.977107i | \(-0.568242\pi\) | ||||
−0.212751 | + | 0.977107i | \(0.568242\pi\) | |||||||
\(684\) | 3.24084 | − | 7.00030i | 0.123917 | − | 0.267663i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −8.81296 | + | 49.9808i | −0.336480 | + | 1.90828i | ||||
\(687\) | −11.2531 | − | 9.44247i | −0.429333 | − | 0.360253i | ||||
\(688\) | 1.41929 | + | 0.516578i | 0.0541098 | + | 0.0196944i | ||||
\(689\) | −13.9509 | + | 5.07769i | −0.531485 | + | 0.193445i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −5.97792 | − | 10.3541i | −0.227411 | − | 0.393887i | 0.729629 | − | 0.683843i | \(-0.239693\pi\) |
−0.957040 | + | 0.289956i | \(0.906359\pi\) | |||||||
\(692\) | −7.85098 | + | 13.5983i | −0.298449 | + | 0.516929i | ||||
\(693\) | 6.68201 | + | 37.8956i | 0.253829 | + | 1.43953i | ||||
\(694\) | −5.86560 | − | 33.2655i | −0.222655 | − | 1.26274i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −1.47771 | − | 2.55947i | −0.0560126 | − | 0.0970166i | ||||
\(697\) | −8.29216 | + | 6.95795i | −0.314088 | + | 0.263551i | ||||
\(698\) | 0.0308480 | − | 0.0112278i | 0.00116761 | − | 0.000424977i | ||||
\(699\) | 15.7803 | + | 5.74355i | 0.596865 | + | 0.217241i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 3.45791 | − | 19.6108i | 0.130603 | − | 0.740689i | −0.847217 | − | 0.531246i | \(-0.821724\pi\) |
0.977821 | − | 0.209443i | \(-0.0671650\pi\) | |||||||
\(702\) | 13.9664 | 0.527128 | ||||||||
\(703\) | 8.43146 | + | 2.23432i | 0.317999 | + | 0.0842688i | ||||
\(704\) | 4.41122 | 0.166254 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0.215239 | + | 0.180607i | 0.00810064 | + | 0.00679725i | ||||
\(707\) | −6.68935 | − | 2.43473i | −0.251579 | − | 0.0915673i | ||||
\(708\) | −14.6480 | + | 5.33142i | −0.550504 | + | 0.200367i | ||||
\(709\) | −9.27123 | + | 7.77949i | −0.348188 | + | 0.292165i | −0.800062 | − | 0.599917i | \(-0.795200\pi\) |
0.451874 | + | 0.892082i | \(0.350756\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −2.50825 | + | 4.34442i | −0.0940667 | + | 0.162928i | ||||
\(712\) | 1.75224 | + | 9.93743i | 0.0656679 | + | 0.372421i | ||||
\(713\) | 0.362248 | + | 2.05441i | 0.0135663 | + | 0.0769383i | ||||
\(714\) | −13.7375 | + | 23.7941i | −0.514115 | + | 0.890473i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 7.74689 | − | 6.50041i | 0.289515 | − | 0.242932i | ||||
\(717\) | −12.1805 | + | 4.43334i | −0.454889 | + | 0.165566i | ||||
\(718\) | −12.4120 | − | 4.51759i | −0.463211 | − | 0.168595i | ||||
\(719\) | 22.9902 | + | 19.2911i | 0.857389 | + | 0.719435i | 0.961404 | − | 0.275141i | \(-0.0887245\pi\) |
−0.104015 | + | 0.994576i | \(0.533169\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −21.9906 | −0.818972 | ||||||||
\(722\) | 12.1326 | − | 14.6219i | 0.451527 | − | 0.544172i | ||||
\(723\) | 14.1505 | 0.526263 | ||||||||
\(724\) | 0.465151 | − | 2.63800i | 0.0172872 | − | 0.0980407i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −8.81652 | − | 3.20895i | −0.327212 | − | 0.119095i | ||||
\(727\) | −39.5954 | + | 14.4115i | −1.46851 | + | 0.534494i | −0.947696 | − | 0.319175i | \(-0.896594\pi\) |
−0.520815 | + | 0.853669i | \(0.674372\pi\) | |||||||
\(728\) | 9.96816 | − | 8.36428i | 0.369445 | − | 0.310001i | ||||
\(729\) | −9.29655 | − | 16.1021i | −0.344317 | − | 0.596374i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.31803 | + | 7.47490i | 0.0487490 | + | 0.276469i | ||||
\(732\) | −2.79492 | − | 15.8508i | −0.103303 | − | 0.585862i | ||||
\(733\) | −4.18069 | + | 7.24116i | −0.154417 | + | 0.267458i | −0.932847 | − | 0.360274i | \(-0.882683\pi\) |
0.778429 | + | 0.627732i | \(0.216017\pi\) | |||||||
\(734\) | 5.15220 | + | 8.92387i | 0.190171 | + | 0.329386i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.964570 | + | 0.351075i | −0.0355545 | + | 0.0129408i | ||||
\(737\) | −56.5494 | − | 20.5823i | −2.08302 | − | 0.758159i | ||||
\(738\) | −2.92016 | − | 2.45030i | −0.107492 | − | 0.0901969i | ||||
\(739\) | −3.03167 | + | 17.1935i | −0.111522 | + | 0.632472i | 0.876892 | + | 0.480688i | \(0.159613\pi\) |
−0.988414 | + | 0.151784i | \(0.951498\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 12.3376 | + | 3.26943i | 0.453232 | + | 0.120105i | ||||
\(742\) | 27.7200 | 1.01763 | ||||||||
\(743\) | 2.72242 | − | 15.4396i | 0.0998758 | − | 0.566424i | −0.893268 | − | 0.449524i | \(-0.851593\pi\) |
0.993144 | − | 0.116899i | \(-0.0372954\pi\) | |||||||
\(744\) | 1.72680 | + | 1.44896i | 0.0633075 | + | 0.0531213i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 26.6774 | − | 9.70980i | 0.976731 | − | 0.355501i | ||||
\(747\) | −9.87361 | + | 8.28494i | −0.361257 | + | 0.303130i | ||||
\(748\) | 11.0840 | + | 19.1981i | 0.405273 | + | 0.701953i | ||||
\(749\) | 19.3787 | − | 33.5649i | 0.708083 | − | 1.22644i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.425213 | − | 2.41150i | −0.0155162 | − | 0.0879970i | 0.976066 | − | 0.217473i | \(-0.0697815\pi\) |
−0.991583 | + | 0.129476i | \(0.958670\pi\) | |||||||
\(752\) | 0.895185 | − | 1.55051i | 0.0326441 | − | 0.0565412i | ||||
\(753\) | −14.8942 | − | 25.7975i | −0.542774 | − | 0.940111i | ||||
\(754\) | −5.38848 | + | 4.52147i | −0.196237 | + | 0.164662i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −24.5047 | − | 8.91898i | −0.891228 | − | 0.324380i | ||||
\(757\) | −21.2038 | − | 17.7921i | −0.770664 | − | 0.646664i | 0.170215 | − | 0.985407i | \(-0.445554\pi\) |
−0.940879 | + | 0.338743i | \(0.889998\pi\) | |||||||
\(758\) | 3.33377 | − | 18.9068i | 0.121088 | − | 0.686725i | ||||
\(759\) | 5.02234 | 0.182299 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −34.7738 | −1.26055 | −0.630275 | − | 0.776372i | \(-0.717058\pi\) | ||||
−0.630275 | + | 0.776372i | \(0.717058\pi\) | |||||||
\(762\) | 3.99148 | − | 22.6368i | 0.144596 | − | 0.820046i | ||||
\(763\) | 9.52404 | + | 7.99162i | 0.344793 | + | 0.289316i | ||||
\(764\) | −3.52479 | − | 1.28292i | −0.127522 | − | 0.0464143i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −15.9934 | + | 13.4201i | −0.577866 | + | 0.484887i | ||||
\(767\) | 18.5504 | + | 32.1302i | 0.669815 | + | 1.16015i | ||||
\(768\) | −0.554587 | + | 0.960572i | −0.0200119 | + | 0.0346617i | ||||
\(769\) | −1.17313 | − | 6.65313i | −0.0423040 | − | 0.239918i | 0.956322 | − | 0.292314i | \(-0.0944252\pi\) |
−0.998626 | + | 0.0523962i | \(0.983314\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.0885653 | + | 0.153400i | −0.00318960 | + | 0.00552455i | ||||
\(772\) | −7.21623 | − | 12.4989i | −0.259718 | − | 0.449844i | ||||
\(773\) | −9.27086 | + | 7.77917i | −0.333450 | + | 0.279797i | −0.794104 | − | 0.607782i | \(-0.792059\pi\) |
0.460654 | + | 0.887580i | \(0.347615\pi\) | |||||||
\(774\) | −2.51176 | + | 0.914207i | −0.0902834 | + | 0.0328605i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −9.12169 | − | 7.65401i | −0.327450 | − | 0.274763i | ||||
\(777\) | 1.89978 | − | 10.7742i | 0.0681542 | − | 0.386522i | ||||
\(778\) | 15.5273 | 0.556680 | ||||||||
\(779\) | −5.40650 | − | 7.67617i | −0.193708 | − | 0.275027i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −11.9482 | + | 67.7615i | −0.427540 | + | 2.42470i | ||||
\(782\) | −3.95159 | − | 3.31577i | −0.141308 | − | 0.118572i | ||||
\(783\) | 13.2465 | + | 4.82132i | 0.473390 | + | 0.172300i | ||||
\(784\) | −16.2532 | + | 5.91569i | −0.580472 | + | 0.211274i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0.963353 | + | 1.66858i | 0.0343617 | + | 0.0595162i | ||||
\(787\) | 12.8010 | − | 22.1721i | 0.456308 | − | 0.790349i | −0.542454 | − | 0.840085i | \(-0.682505\pi\) |
0.998762 | + | 0.0497367i | \(0.0158382\pi\) | |||||||
\(788\) | 3.43823 | + | 19.4992i | 0.122482 | + | 0.694629i | ||||
\(789\) | −1.78334 | − | 10.1138i | −0.0634885 | − | 0.360061i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −6.40329 | − | 11.0908i | −0.227675 | − | 0.394344i | ||||
\(792\) | −5.98027 | + | 5.01804i | −0.212500 | + | 0.178308i | ||||
\(793\) | −35.9979 | + | 13.1021i | −1.27832 | + | 0.465271i | ||||
\(794\) | 4.52601 | + | 1.64733i | 0.160622 | + | 0.0584617i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.46951 | − | 19.6766i | 0.122974 | − | 0.697418i | ||||
\(797\) | 28.8750 | 1.02281 | 0.511403 | − | 0.859341i | \(-0.329126\pi\) | ||||
0.511403 | + | 0.859341i | \(0.329126\pi\) | |||||||
\(798\) | −19.5590 | − | 13.6152i | −0.692381 | − | 0.481972i | ||||
\(799\) | 8.99731 | 0.318302 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −13.6800 | − | 11.4788i | −0.483358 | − | 0.405585i | ||||
\(802\) | 11.6810 | + | 4.25153i | 0.412470 | + | 0.150127i | ||||
\(803\) | −52.2803 | + | 19.0285i | −1.84493 | + | 0.671500i | ||||
\(804\) | 11.5914 | − | 9.72636i | 0.408798 | − | 0.343022i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.68256 | − | 4.64633i | 0.0944891 | − | 0.163660i | ||||
\(807\) | 2.40340 | + | 13.6304i | 0.0846038 | + | 0.479812i | ||||
\(808\) | −0.250783 | − | 1.42226i | −0.00882252 | − | 0.0500350i | ||||
\(809\) | −18.2438 | + | 31.5992i | −0.641417 | + | 1.11097i | 0.343699 | + | 0.939080i | \(0.388320\pi\) |
−0.985117 | + | 0.171888i | \(0.945013\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 3.21407 | − | 2.69693i | 0.112861 | − | 0.0947020i | −0.584610 | − | 0.811314i | \(-0.698753\pi\) |
0.697472 | + | 0.716612i | \(0.254308\pi\) | |||||||
\(812\) | 12.3418 | − | 4.49203i | 0.433111 | − | 0.157639i | ||||
\(813\) | 29.4018 | + | 10.7014i | 1.03117 | + | 0.375314i | ||||
\(814\) | −6.76201 | − | 5.67400i | −0.237008 | − | 0.198874i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −5.57403 | −0.195130 | ||||||||
\(817\) | −6.55691 | + | 0.591869i | −0.229397 | + | 0.0207069i | ||||
\(818\) | −17.2664 | −0.603705 | ||||||||
\(819\) | −3.99889 | + | 22.6788i | −0.139733 | + | 0.792463i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 4.00386 | + | 1.45729i | 0.139736 | + | 0.0508597i | 0.410941 | − | 0.911662i | \(-0.365200\pi\) |
−0.271206 | + | 0.962521i | \(0.587422\pi\) | |||||||
\(822\) | 2.60326 | − | 0.947510i | 0.0907992 | − | 0.0330482i | ||||
\(823\) | −1.24294 | + | 1.04295i | −0.0433263 | + | 0.0363551i | −0.664194 | − | 0.747561i | \(-0.731225\pi\) |
0.620867 | + | 0.783916i | \(0.286781\pi\) | |||||||
\(824\) | −2.23068 | − | 3.86364i | −0.0777093 | − | 0.134596i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −12.0291 | − | 68.2203i | −0.418545 | − | 2.37369i | ||||
\(827\) | 4.32155 | + | 24.5087i | 0.150275 | + | 0.852252i | 0.962979 | + | 0.269575i | \(0.0868834\pi\) |
−0.812704 | + | 0.582676i | \(0.802006\pi\) | |||||||
\(828\) | 0.908293 | − | 1.57321i | 0.0315654 | − | 0.0546728i | ||||
\(829\) | −6.75957 | − | 11.7079i | −0.234770 | − | 0.406633i | 0.724436 | − | 0.689342i | \(-0.242100\pi\) |
−0.959206 | + | 0.282709i | \(0.908767\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 8.76750 | − | 3.19111i | 0.304141 | − | 0.110698i | ||||
\(832\) | 2.48072 | + | 0.902907i | 0.0860033 | + | 0.0313027i | ||||
\(833\) | −66.5851 | − | 55.8715i | −2.30704 | − | 1.93583i | ||||
\(834\) | 2.27893 | − | 12.9245i | 0.0789129 | − | 0.447537i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −17.4041 | + | 8.17413i | −0.601933 | + | 0.282708i | ||||
\(837\) | −10.7518 | −0.371637 | ||||||||
\(838\) | 3.17710 | − | 18.0182i | 0.109751 | − | 0.622429i | ||||
\(839\) | 12.1036 | + | 10.1561i | 0.417861 | + | 0.350627i | 0.827349 | − | 0.561689i | \(-0.189848\pi\) |
−0.409488 | + | 0.912316i | \(0.634293\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 20.5795 | − | 7.49033i | 0.709639 | − | 0.258287i | ||||
\(842\) | 21.4711 | − | 18.0164i | 0.739944 | − | 0.620887i | ||||
\(843\) | −12.3918 | − | 21.4633i | −0.426797 | − | 0.739234i | ||||
\(844\) | −6.82622 | + | 11.8234i | −0.234968 | + | 0.406977i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0.550201 | + | 3.12035i | 0.0189163 | + | 0.107280i | ||||
\(847\) | 20.8474 | − | 36.1088i | 0.716326 | − | 1.24071i | ||||
\(848\) | 2.81186 | + | 4.87029i | 0.0965597 | + | 0.167246i | ||||
\(849\) | −10.8473 | + | 9.10199i | −0.372280 | + | 0.312380i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1.93018 | + | 0.702527i | 0.0661656 | + | 0.0240823i | ||||
\(852\) | −13.2534 | − | 11.1209i | −0.454053 | − | 0.380996i | ||||
\(853\) | −1.78438 | + | 10.1197i | −0.0610962 | + | 0.346494i | 0.938901 | + | 0.344187i | \(0.111845\pi\) |
−0.999997 | + | 0.00230672i | \(0.999266\pi\) | |||||||
\(854\) | 71.5270 | 2.44760 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 7.86294 | 0.268750 | ||||||||
\(857\) | −4.77171 | + | 27.0617i | −0.162998 | + | 0.924410i | 0.788106 | + | 0.615540i | \(0.211062\pi\) |
−0.951104 | + | 0.308870i | \(0.900049\pi\) | |||||||
\(858\) | −9.89471 | − | 8.30265i | −0.337800 | − | 0.283448i | ||||
\(859\) | 0.328073 | + | 0.119409i | 0.0111937 | + | 0.00407418i | 0.347611 | − | 0.937639i | \(-0.386993\pi\) |
−0.336417 | + | 0.941713i | \(0.609215\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −9.02127 | + | 7.56974i | −0.307444 | + | 0.257976i | ||||
\(862\) | −7.73381 | − | 13.3953i | −0.263415 | − | 0.456247i | ||||
\(863\) | −13.7736 | + | 23.8565i | −0.468857 | + | 0.812084i | −0.999366 | − | 0.0355949i | \(-0.988667\pi\) |
0.530509 | + | 0.847679i | \(0.322001\pi\) | |||||||
\(864\) | −0.918679 | − | 5.21009i | −0.0312541 | − | 0.177251i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 7.04096 | − | 12.1953i | 0.239262 | − | 0.414413i | ||||
\(867\) | −4.57785 | − | 7.92906i | −0.155472 | − | 0.269285i | ||||
\(868\) | −7.67383 | + | 6.43911i | −0.260467 | + | 0.218558i | ||||
\(869\) | 11.7500 | − | 4.27664i | 0.398591 | − | 0.145075i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −27.5885 | − | 23.1495i | −0.934802 | − | 0.784392i | ||||
\(872\) | −0.437993 | + | 2.48398i | −0.0148323 | + | 0.0841183i | ||||
\(873\) | 21.0732 | 0.713218 | ||||||||
\(874\) | 3.15507 | − | 3.17251i | 0.106722 | − | 0.107312i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 2.42920 | − | 13.7767i | 0.0820750 | − | 0.465471i | ||||
\(877\) | −21.3396 | − | 17.9061i | −0.720587 | − | 0.604645i | 0.206960 | − | 0.978349i | \(-0.433643\pi\) |
−0.927548 | + | 0.373705i | \(0.878087\pi\) | |||||||
\(878\) | −8.73592 | − | 3.17962i | −0.294823 | − | 0.107307i | ||||
\(879\) | −30.1333 | + | 10.9676i | −1.01637 | + | 0.369929i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −16.9123 | − | 29.2930i | −0.569791 | − | 0.986907i | −0.996586 | − | 0.0825583i | \(-0.973691\pi\) |
0.426795 | − | 0.904348i | \(-0.359642\pi\) | |||||||
\(882\) | 15.3049 | − | 26.5089i | 0.515344 | − | 0.892602i | ||||
\(883\) | −4.88096 | − | 27.6813i | −0.164257 | − | 0.931549i | −0.949827 | − | 0.312776i | \(-0.898741\pi\) |
0.785570 | − | 0.618773i | \(-0.212370\pi\) | |||||||
\(884\) | 2.30373 | + | 13.0651i | 0.0774827 | + | 0.439426i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −5.94905 | − | 10.3041i | −0.199862 | − | 0.346172i | ||||
\(887\) | −36.2974 | + | 30.4571i | −1.21875 | + | 1.02265i | −0.219859 | + | 0.975532i | \(0.570560\pi\) |
−0.998889 | + | 0.0471192i | \(0.984996\pi\) | |||||||
\(888\) | 2.08568 | − | 0.759127i | 0.0699910 | − | 0.0254746i | ||||
\(889\) | 95.9889 | + | 34.9371i | 3.21936 | + | 1.17175i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.428067 | + | 2.42769i | −0.0143408 | + | 0.0813306i | ||||
\(892\) | 23.1810 | 0.776156 | ||||||||
\(893\) | −0.658739 | + | 7.77619i | −0.0220438 | + | 0.260220i | ||||
\(894\) | −22.3413 | −0.747204 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −3.77593 | − | 3.16838i | −0.126145 | − | 0.105848i | ||||
\(897\) | 2.82439 | + | 1.02799i | 0.0943035 | + | 0.0343237i | ||||
\(898\) | 18.7028 | − | 6.80727i | 0.624122 | − | 0.227162i | ||||
\(899\) | 4.14823 | − | 3.48078i | 0.138351 | − | 0.116091i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −14.1307 | + | 24.4751i | −0.470762 | + | 0.815383i | ||||
\(902\) | 1.64996 | + | 9.35738i | 0.0549376 | + | 0.311567i | ||||
\(903\) | 1.43392 | + | 8.13215i | 0.0477178 | + | 0.270621i | ||||
\(904\) | 1.29907 | − | 2.25006i | 0.0432065 | − | 0.0748358i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −6.52442 | + | 5.47464i | −0.216759 | + | 0.181883i | ||||
\(907\) | −5.53153 | + | 2.01331i | −0.183672 | + | 0.0668510i | −0.432219 | − | 0.901769i | \(-0.642269\pi\) |
0.248547 | + | 0.968620i | \(0.420047\pi\) | |||||||
\(908\) | −6.93391 | − | 2.52374i | −0.230110 | − | 0.0837532i | ||||
\(909\) | 1.95790 | + | 1.64287i | 0.0649394 | + | 0.0544907i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 2.77245 | 0.0918555 | 0.0459277 | − | 0.998945i | \(-0.485376\pi\) | ||||
0.0459277 | + | 0.998945i | \(0.485376\pi\) | |||||||
\(912\) | 0.408103 | − | 4.81752i | 0.0135136 | − | 0.159524i | ||||
\(913\) | 32.1272 | 1.06325 | ||||||||
\(914\) | 6.39191 | − | 36.2503i | 0.211426 | − | 1.19905i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 12.4453 | + | 4.52971i | 0.411204 | + | 0.149666i | ||||
\(917\) | −8.04585 | + | 2.92845i | −0.265698 | + | 0.0967060i | ||||
\(918\) | 20.3665 | − | 17.0896i | 0.672196 | − | 0.564039i | ||||
\(919\) | −26.1760 | − | 45.3382i | −0.863468 | − | 1.49557i | −0.868560 | − | 0.495584i | \(-0.834954\pi\) |
0.00509211 | − | 0.999987i | \(-0.498379\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −4.51964 | − | 25.6321i | −0.148927 | − | 0.844608i | ||||
\(922\) | 5.29037 | + | 30.0032i | 0.174229 | + | 0.988103i | ||||
\(923\) | −20.5889 | + | 35.6611i | −0.677693 | + | 1.17380i | ||||
\(924\) | 12.0586 | + | 20.8862i | 0.396700 | + | 0.687105i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −21.0469 | + | 7.66045i | −0.691645 | + | 0.251738i | ||||
\(927\) | 7.41926 | + | 2.70039i | 0.243680 | + | 0.0886924i | ||||
\(928\) | 2.04115 | + | 1.71273i | 0.0670040 | + | 0.0562230i | ||||
\(929\) | −6.37049 | + | 36.1288i | −0.209009 | + | 1.18535i | 0.681997 | + | 0.731355i | \(0.261112\pi\) |
−0.891005 | + | 0.453993i | \(0.849999\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 53.1637 | − | 53.4575i | 1.74237 | − | 1.75200i | ||||
\(932\) | −15.1401 | −0.495931 | ||||||||
\(933\) | 0.817643 | − | 4.63708i | 0.0267684 | − | 0.151811i | ||||
\(934\) | 11.3247 | + | 9.50252i | 0.370554 | + | 0.310932i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −4.39021 | + | 1.59791i | −0.143498 | + | 0.0522292i | ||||
\(937\) | 25.7630 | − | 21.6177i | 0.841639 | − | 0.706219i | −0.116292 | − | 0.993215i | \(-0.537101\pi\) |
0.957932 | + | 0.286996i | \(0.0926566\pi\) | |||||||
\(938\) | 33.6220 | + | 58.2350i | 1.09780 | + | 1.90144i | ||||
\(939\) | −6.44142 | + | 11.1569i | −0.210208 | + | 0.364090i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −7.79104 | − | 44.1852i | −0.253981 | − | 1.44040i | −0.798676 | − | 0.601762i | \(-0.794466\pi\) |
0.544695 | − | 0.838634i | \(-0.316645\pi\) | |||||||
\(942\) | −3.21699 | + | 5.57199i | −0.104815 | + | 0.181545i | ||||
\(943\) | −1.10551 | − | 1.91480i | −0.0360003 | − | 0.0623543i | ||||
\(944\) | 10.7658 | − | 9.03357i | 0.350396 | − | 0.294018i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 6.26079 | + | 2.27874i | 0.203556 | + | 0.0740883i | ||||
\(947\) | −10.6134 | − | 8.90570i | −0.344889 | − | 0.289396i | 0.453845 | − | 0.891081i | \(-0.350052\pi\) |
−0.798734 | + | 0.601684i | \(0.794497\pi\) | |||||||
\(948\) | −0.545962 | + | 3.09630i | −0.0177320 | + | 0.100563i | ||||
\(949\) | −33.2954 | −1.08082 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2.48037 | 0.0804316 | ||||||||
\(952\) | 4.30140 | − | 24.3945i | 0.139409 | − | 0.790629i | ||||
\(953\) | 30.1638 | + | 25.3105i | 0.977102 | + | 0.819886i | 0.983650 | − | 0.180092i | \(-0.0576397\pi\) |
−0.00654740 | + | 0.999979i | \(0.502084\pi\) | |||||||
\(954\) | −9.35229 | − | 3.40395i | −0.302791 | − | 0.110207i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 8.95228 | − | 7.51186i | 0.289537 | − | 0.242951i | ||||
\(957\) | −6.51852 | − | 11.2904i | −0.210714 | − | 0.364967i | ||||
\(958\) | 13.4556 | − | 23.3058i | 0.434730 | − | 0.752975i | ||||
\(959\) | 2.13783 | + | 12.1242i | 0.0690341 | + | 0.391512i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.4349 | − | 23.2699i | 0.433383 | − | 0.750641i | ||||
\(962\) | −2.64134 | − | 4.57494i | −0.0851602 | − | 0.147502i | ||||
\(963\) | −10.6598 | + | 8.94460i | −0.343506 | + | 0.288236i | ||||
\(964\) | −11.9883 | + | 4.36339i | −0.386118 | + | 0.140535i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −4.29904 | − | 3.60732i | −0.138319 | − | 0.116064i | ||||
\(967\) | −0.583592 | + | 3.30972i | −0.0187671 | + | 0.106433i | −0.992752 | − | 0.120178i | \(-0.961654\pi\) |
0.973985 | + | 0.226611i | \(0.0727646\pi\) | |||||||
\(968\) | 8.45886 | 0.271878 | ||||||||
\(969\) | 21.9918 | − | 10.3288i | 0.706479 | − | 0.331810i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 10.5808 | − | 60.0068i | 0.339554 | − | 1.92571i | −0.0370028 | − | 0.999315i | \(-0.511781\pi\) |
0.376557 | − | 0.926393i | \(-0.377108\pi\) | |||||||
\(972\) | 11.6834 | + | 9.80350i | 0.374744 | + | 0.314447i | ||||
\(973\) | 54.8046 | + | 19.9473i | 1.75696 | + | 0.639480i | ||||
\(974\) | −13.3275 | + | 4.85081i | −0.427040 | + | 0.155430i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 7.25554 | + | 12.5670i | 0.232244 | + | 0.402259i | ||||
\(977\) | −15.5819 | + | 26.9886i | −0.498509 | + | 0.863442i | −0.999999 | − | 0.00172111i | \(-0.999452\pi\) |
0.501490 | + | 0.865164i | \(0.332785\pi\) | |||||||
\(978\) | 2.06560 | + | 11.7146i | 0.0660505 | + | 0.374591i | ||||
\(979\) | 7.72950 | + | 43.8362i | 0.247036 | + | 1.40101i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −2.23190 | − | 3.86577i | −0.0712592 | − | 0.123425i | ||||
\(982\) | 7.44701 | − | 6.24878i | 0.237644 | − | 0.199407i | ||||
\(983\) | 39.1951 | − | 14.2659i | 1.25013 | − | 0.455010i | 0.369685 | − | 0.929157i | \(-0.379466\pi\) |
0.880446 | + | 0.474147i | \(0.157244\pi\) | |||||||
\(984\) | −2.24507 | − | 0.817137i | −0.0715701 | − | 0.0260494i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −2.32520 | + | 13.1869i | −0.0740495 | + | 0.419956i | ||||
\(987\) | 9.78842 | 0.311569 | ||||||||
\(988\) | −11.4606 | + | 1.03450i | −0.364609 | + | 0.0329120i | ||||
\(989\) | −1.55036 | −0.0492986 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −17.2058 | − | 14.4374i | −0.546559 | − | 0.458618i | 0.327215 | − | 0.944950i | \(-0.393890\pi\) |
−0.873774 | + | 0.486332i | \(0.838334\pi\) | |||||||
\(992\) | −1.90974 | − | 0.695088i | −0.0606343 | − | 0.0220691i | ||||
\(993\) | 0.530800 | − | 0.193196i | 0.0168444 | − | 0.00613088i | ||||
\(994\) | 58.8975 | − | 49.4209i | 1.86812 | − | 1.56754i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −4.03909 | + | 6.99590i | −0.127983 | + | 0.221674i | ||||
\(997\) | −5.23325 | − | 29.6792i | −0.165739 | − | 0.939950i | −0.948300 | − | 0.317377i | \(-0.897198\pi\) |
0.782561 | − | 0.622574i | \(-0.213913\pi\) | |||||||
\(998\) | −2.13578 | − | 12.1126i | −0.0676069 | − | 0.383418i | ||||
\(999\) | −5.29331 | + | 9.16827i | −0.167473 | + | 0.290071i |
(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 | 950.2.l.i.701.2 | 18 | ||
5.2 | odd | 4 | 950.2.u.g.549.5 | 36 | |||
5.3 | odd | 4 | 950.2.u.g.549.2 | 36 | |||
5.4 | even | 2 | 190.2.k.d.131.2 | ✓ | 18 | ||
19.9 | even | 9 | inner | 950.2.l.i.351.2 | 18 | ||
95.9 | even | 18 | 190.2.k.d.161.2 | yes | 18 | ||
95.28 | odd | 36 | 950.2.u.g.199.5 | 36 | |||
95.47 | odd | 36 | 950.2.u.g.199.2 | 36 | |||
95.54 | even | 18 | 3610.2.a.bi.1.4 | 9 | |||
95.79 | odd | 18 | 3610.2.a.bj.1.6 | 9 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.d.131.2 | ✓ | 18 | 5.4 | even | 2 | ||
190.2.k.d.161.2 | yes | 18 | 95.9 | even | 18 | ||
950.2.l.i.351.2 | 18 | 19.9 | even | 9 | inner | ||
950.2.l.i.701.2 | 18 | 1.1 | even | 1 | trivial | ||
950.2.u.g.199.2 | 36 | 95.47 | odd | 36 | |||
950.2.u.g.199.5 | 36 | 95.28 | odd | 36 | |||
950.2.u.g.549.2 | 36 | 5.3 | odd | 4 | |||
950.2.u.g.549.5 | 36 | 5.2 | odd | 4 | |||
3610.2.a.bi.1.4 | 9 | 95.54 | even | 18 | |||
3610.2.a.bj.1.6 | 9 | 95.79 | odd | 18 |