Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,2,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), 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: | \(0.862384341830\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 59.16 | ||
Character | \(\chi\) | \(=\) | 108.59 |
Dual form | 108.2.l.a.11.16 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.40284 | − | 0.179019i | 0.991956 | − | 0.126585i | ||||
\(3\) | 0.537194 | + | 1.64664i | 0.310149 | + | 0.950688i | ||||
\(4\) | 1.93590 | − | 0.502269i | 0.967952 | − | 0.251134i | ||||
\(5\) | −0.847966 | − | 2.32977i | −0.379222 | − | 1.04190i | −0.971680 | − | 0.236302i | \(-0.924065\pi\) |
0.592458 | − | 0.805602i | \(-0.298158\pi\) | |||||||
\(6\) | 1.04838 | + | 2.21380i | 0.427998 | + | 0.903780i | ||||
\(7\) | −4.59553 | + | 0.810316i | −1.73695 | + | 0.306271i | −0.950347 | − | 0.311191i | \(-0.899272\pi\) |
−0.786601 | + | 0.617462i | \(0.788161\pi\) | |||||||
\(8\) | 2.62584 | − | 1.05116i | 0.928376 | − | 0.371643i | ||||
\(9\) | −2.42284 | + | 1.76913i | −0.807615 | + | 0.589710i | ||||
\(10\) | −1.60663 | − | 3.11648i | −0.508061 | − | 0.985518i | ||||
\(11\) | 2.23250 | + | 0.812562i | 0.673123 | + | 0.244997i | 0.655892 | − | 0.754855i | \(-0.272293\pi\) |
0.0172309 | + | 0.999852i | \(0.494515\pi\) | |||||||
\(12\) | 1.86701 | + | 2.91792i | 0.538960 | + | 0.842331i | ||||
\(13\) | −1.53462 | − | 1.28770i | −0.425628 | − | 0.357144i | 0.404671 | − | 0.914462i | \(-0.367386\pi\) |
−0.830299 | + | 0.557318i | \(0.811830\pi\) | |||||||
\(14\) | −6.30172 | + | 1.95943i | −1.68421 | + | 0.523679i | ||||
\(15\) | 3.38076 | − | 2.64783i | 0.872910 | − | 0.683667i | ||||
\(16\) | 3.49545 | − | 1.94469i | 0.873863 | − | 0.486172i | ||||
\(17\) | 1.59381 | + | 0.920188i | 0.386556 | + | 0.223178i | 0.680667 | − | 0.732593i | \(-0.261690\pi\) |
−0.294111 | + | 0.955771i | \(0.595023\pi\) | |||||||
\(18\) | −3.08215 | + | 2.91554i | −0.726469 | + | 0.687199i | ||||
\(19\) | −1.56341 | + | 0.902634i | −0.358670 | + | 0.207078i | −0.668497 | − | 0.743715i | \(-0.733062\pi\) |
0.309827 | + | 0.950793i | \(0.399729\pi\) | |||||||
\(20\) | −2.81175 | − | 4.08430i | −0.628727 | − | 0.913277i | ||||
\(21\) | −3.80299 | − | 7.13189i | −0.829881 | − | 1.55631i | ||||
\(22\) | 3.27729 | + | 0.740233i | 0.698721 | + | 0.157818i | ||||
\(23\) | 0.496152 | − | 2.81382i | 0.103455 | − | 0.586722i | −0.888371 | − | 0.459126i | \(-0.848163\pi\) |
0.991826 | − | 0.127596i | \(-0.0407261\pi\) | |||||||
\(24\) | 3.14148 | + | 3.75914i | 0.641252 | + | 0.767331i | ||||
\(25\) | −0.878547 | + | 0.737189i | −0.175709 | + | 0.147438i | ||||
\(26\) | −2.38335 | − | 1.53171i | −0.467413 | − | 0.300393i | ||||
\(27\) | −4.21466 | − | 3.03918i | −0.811112 | − | 0.584891i | ||||
\(28\) | −8.48951 | + | 3.87689i | −1.60437 | + | 0.732663i | ||||
\(29\) | 4.19826 | + | 5.00329i | 0.779597 | + | 0.929088i | 0.998915 | − | 0.0465658i | \(-0.0148277\pi\) |
−0.219318 | + | 0.975653i | \(0.570383\pi\) | |||||||
\(30\) | 4.26865 | − | 4.31970i | 0.779345 | − | 0.788665i | ||||
\(31\) | −0.704699 | − | 0.124257i | −0.126568 | − | 0.0223173i | 0.110005 | − | 0.993931i | \(-0.464913\pi\) |
−0.236573 | + | 0.971614i | \(0.576024\pi\) | |||||||
\(32\) | 4.55541 | − | 3.35383i | 0.805291 | − | 0.592880i | ||||
\(33\) | −0.138713 | + | 4.11262i | −0.0241467 | + | 0.715915i | ||||
\(34\) | 2.40059 | + | 1.00555i | 0.411698 | + | 0.172451i | ||||
\(35\) | 5.78470 | + | 10.0194i | 0.977793 | + | 1.69359i | ||||
\(36\) | −3.80182 | + | 4.64179i | −0.633636 | + | 0.773631i | ||||
\(37\) | −5.60913 | + | 9.71530i | −0.922136 | + | 1.59719i | −0.126032 | + | 0.992026i | \(0.540224\pi\) |
−0.796104 | + | 0.605160i | \(0.793109\pi\) | |||||||
\(38\) | −2.03162 | + | 1.54613i | −0.329572 | + | 0.250815i | ||||
\(39\) | 1.29599 | − | 3.21872i | 0.207524 | − | 0.515407i | ||||
\(40\) | −4.67560 | − | 5.22625i | −0.739276 | − | 0.826343i | ||||
\(41\) | 4.52704 | − | 5.39511i | 0.707005 | − | 0.842575i | −0.286295 | − | 0.958141i | \(-0.592424\pi\) |
0.993300 | + | 0.115566i | \(0.0368682\pi\) | |||||||
\(42\) | −6.61172 | − | 9.32407i | −1.02021 | − | 1.43874i | ||||
\(43\) | 0.206872 | − | 0.568377i | 0.0315477 | − | 0.0866766i | −0.922919 | − | 0.384995i | \(-0.874203\pi\) |
0.954467 | + | 0.298318i | \(0.0964256\pi\) | |||||||
\(44\) | 4.73002 | + | 0.451729i | 0.713078 | + | 0.0681008i | ||||
\(45\) | 6.17615 | + | 4.14450i | 0.920687 | + | 0.617826i | ||||
\(46\) | 0.192294 | − | 4.03615i | 0.0283522 | − | 0.595098i | ||||
\(47\) | −0.587034 | − | 3.32923i | −0.0856277 | − | 0.485619i | −0.997219 | − | 0.0745219i | \(-0.976257\pi\) |
0.911592 | − | 0.411097i | \(-0.134854\pi\) | |||||||
\(48\) | 5.07994 | + | 4.71107i | 0.733226 | + | 0.679985i | ||||
\(49\) | 13.8845 | − | 5.05353i | 1.98349 | − | 0.721933i | ||||
\(50\) | −1.10049 | + | 1.19143i | −0.155633 | + | 0.168494i | ||||
\(51\) | −0.659031 | + | 3.11876i | −0.0922828 | + | 0.436713i | ||||
\(52\) | −3.61765 | − | 1.72207i | −0.501678 | − | 0.238809i | ||||
\(53\) | − | 5.16402i | − | 0.709333i | −0.934993 | − | 0.354667i | \(-0.884594\pi\) | ||
0.934993 | − | 0.354667i | \(-0.115406\pi\) | |||||||
\(54\) | −6.45655 | − | 3.50898i | −0.878626 | − | 0.477511i | ||||
\(55\) | − | 5.89022i | − | 0.794237i | ||||||
\(56\) | −11.2154 | + | 6.95843i | −1.49872 | + | 0.929859i | ||||
\(57\) | −2.32617 | − | 2.08948i | −0.308108 | − | 0.276758i | ||||
\(58\) | 6.78516 | + | 6.26723i | 0.890935 | + | 0.822928i | ||||
\(59\) | −7.69223 | + | 2.79974i | −1.00144 | + | 0.364496i | −0.790141 | − | 0.612925i | \(-0.789993\pi\) |
−0.211302 | + | 0.977421i | \(0.567770\pi\) | |||||||
\(60\) | 5.21491 | − | 6.82400i | 0.673242 | − | 0.880975i | ||||
\(61\) | 1.01407 | + | 5.75108i | 0.129838 | + | 0.736350i | 0.978316 | + | 0.207118i | \(0.0664086\pi\) |
−0.848478 | + | 0.529231i | \(0.822480\pi\) | |||||||
\(62\) | −1.01082 | − | 0.0481585i | −0.128375 | − | 0.00611614i | ||||
\(63\) | 9.70070 | − | 10.0934i | 1.22217 | − | 1.27165i | ||||
\(64\) | 5.79011 | − | 5.52039i | 0.723763 | − | 0.690048i | ||||
\(65\) | −1.69874 | + | 4.66724i | −0.210702 | + | 0.578900i | ||||
\(66\) | 0.541646 | + | 5.79417i | 0.0666720 | + | 0.713213i | ||||
\(67\) | −0.427623 | + | 0.509621i | −0.0522424 | + | 0.0622601i | −0.791533 | − | 0.611127i | \(-0.790717\pi\) |
0.739290 | + | 0.673387i | \(0.235161\pi\) | |||||||
\(68\) | 3.54765 | + | 0.980874i | 0.430216 | + | 0.118948i | ||||
\(69\) | 4.89988 | − | 0.694584i | 0.589876 | − | 0.0836181i | ||||
\(70\) | 9.90866 | + | 13.0200i | 1.18431 | + | 1.55619i | ||||
\(71\) | 0.933575 | − | 1.61700i | 0.110795 | − | 0.191902i | −0.805296 | − | 0.592873i | \(-0.797994\pi\) |
0.916091 | + | 0.400970i | \(0.131327\pi\) | |||||||
\(72\) | −4.50236 | + | 7.19227i | −0.530608 | + | 0.847617i | ||||
\(73\) | 0.519326 | + | 0.899498i | 0.0607825 | + | 0.105278i | 0.894815 | − | 0.446436i | \(-0.147307\pi\) |
−0.834033 | + | 0.551715i | \(0.813974\pi\) | |||||||
\(74\) | −6.12948 | + | 14.6331i | −0.712537 | + | 1.70107i | ||||
\(75\) | −1.68583 | − | 1.05064i | −0.194663 | − | 0.121317i | ||||
\(76\) | −2.57324 | + | 2.53266i | −0.295171 | + | 0.290516i | ||||
\(77\) | −10.9179 | − | 1.92513i | −1.24421 | − | 0.219389i | ||||
\(78\) | 1.24185 | − | 4.74734i | 0.140612 | − | 0.537530i | ||||
\(79\) | 8.75072 | + | 10.4287i | 0.984533 | + | 1.17332i | 0.984865 | + | 0.173321i | \(0.0554497\pi\) |
−0.000332592 | 1.00000i | \(0.500106\pi\) | ||||||||
\(80\) | −7.49470 | − | 6.49456i | −0.837933 | − | 0.726114i | ||||
\(81\) | 2.74035 | − | 8.57266i | 0.304483 | − | 0.952518i | ||||
\(82\) | 5.38487 | − | 8.37889i | 0.594659 | − | 0.925294i | ||||
\(83\) | 2.22145 | − | 1.86402i | 0.243836 | − | 0.204602i | −0.512677 | − | 0.858582i | \(-0.671346\pi\) |
0.756513 | + | 0.653979i | \(0.226902\pi\) | |||||||
\(84\) | −10.9444 | − | 11.8965i | −1.19413 | − | 1.29802i | ||||
\(85\) | 0.792326 | − | 4.49350i | 0.0859398 | − | 0.487389i | ||||
\(86\) | 0.188458 | − | 0.834374i | 0.0203219 | − | 0.0899728i | ||||
\(87\) | −5.98333 | + | 9.60076i | −0.641481 | + | 1.02931i | ||||
\(88\) | 6.71632 | − | 0.213061i | 0.715962 | − | 0.0227123i | ||||
\(89\) | −9.13625 | + | 5.27482i | −0.968441 | + | 0.559130i | −0.898761 | − | 0.438440i | \(-0.855531\pi\) |
−0.0696802 | + | 0.997569i | \(0.522198\pi\) | |||||||
\(90\) | 9.40608 | + | 4.70841i | 0.991488 | + | 0.496310i | ||||
\(91\) | 8.09585 | + | 4.67414i | 0.848676 | + | 0.489983i | ||||
\(92\) | −0.452790 | − | 5.69649i | −0.0472066 | − | 0.593900i | ||||
\(93\) | −0.173953 | − | 1.22714i | −0.0180381 | − | 0.127248i | ||||
\(94\) | −1.41951 | − | 4.56528i | −0.146411 | − | 0.470873i | ||||
\(95\) | 3.42864 | + | 2.87697i | 0.351771 | + | 0.295171i | ||||
\(96\) | 7.96970 | + | 5.69947i | 0.813404 | + | 0.581699i | ||||
\(97\) | −14.6120 | − | 5.31834i | −1.48362 | − | 0.539995i | −0.531862 | − | 0.846831i | \(-0.678508\pi\) |
−0.951763 | + | 0.306836i | \(0.900730\pi\) | |||||||
\(98\) | 18.5730 | − | 9.57486i | 1.87615 | − | 0.967207i | ||||
\(99\) | −6.84652 | + | 1.98087i | −0.688101 | + | 0.199085i | ||||
\(100\) | −1.33052 | + | 1.86839i | −0.133052 | + | 0.186839i | ||||
\(101\) | 7.77944 | − | 1.37173i | 0.774083 | − | 0.136492i | 0.227366 | − | 0.973809i | \(-0.426989\pi\) |
0.546717 | + | 0.837318i | \(0.315877\pi\) | |||||||
\(102\) | −0.366197 | + | 4.49309i | −0.0362589 | + | 0.444882i | ||||
\(103\) | −3.66967 | − | 10.0823i | −0.361584 | − | 0.993443i | −0.978470 | − | 0.206391i | \(-0.933828\pi\) |
0.616886 | − | 0.787053i | \(-0.288394\pi\) | |||||||
\(104\) | −5.38326 | − | 1.76816i | −0.527872 | − | 0.173382i | ||||
\(105\) | −13.3908 | + | 14.9077i | −1.30681 | + | 1.45484i | ||||
\(106\) | −0.924458 | − | 7.24429i | −0.0897913 | − | 0.703627i | ||||
\(107\) | −12.7270 | −1.23037 | −0.615184 | − | 0.788384i | \(-0.710918\pi\) | ||||
−0.615184 | + | 0.788384i | \(0.710918\pi\) | |||||||
\(108\) | −9.68567 | − | 3.76668i | −0.932004 | − | 0.362449i | ||||
\(109\) | −3.14870 | −0.301591 | −0.150795 | − | 0.988565i | \(-0.548183\pi\) | ||||
−0.150795 | + | 0.988565i | \(0.548183\pi\) | |||||||
\(110\) | −1.05446 | − | 8.26302i | −0.100539 | − | 0.787848i | ||||
\(111\) | −19.0108 | − | 4.01721i | −1.80443 | − | 0.381297i | ||||
\(112\) | −14.4877 | + | 11.7693i | −1.36895 | + | 1.11209i | ||||
\(113\) | −0.811474 | − | 2.22951i | −0.0763371 | − | 0.209734i | 0.895654 | − | 0.444751i | \(-0.146708\pi\) |
−0.971991 | + | 0.235017i | \(0.924486\pi\) | |||||||
\(114\) | −3.63729 | − | 2.51477i | −0.340663 | − | 0.235530i | ||||
\(115\) | −6.97626 | + | 1.23010i | −0.650540 | + | 0.114708i | ||||
\(116\) | 10.6404 | + | 7.57724i | 0.987939 | + | 0.703529i | ||||
\(117\) | 5.99626 | + | 0.404951i | 0.554355 | + | 0.0374377i | ||||
\(118\) | −10.2897 | + | 5.30464i | −0.947247 | + | 0.488332i | ||||
\(119\) | −8.07006 | − | 2.93726i | −0.739781 | − | 0.269258i | ||||
\(120\) | 6.09405 | − | 10.5065i | 0.556308 | − | 0.959111i | ||||
\(121\) | −4.10271 | − | 3.44258i | −0.372974 | − | 0.312962i | ||||
\(122\) | 2.45213 | + | 7.88629i | 0.222005 | + | 0.713991i | ||||
\(123\) | 11.3157 | + | 4.55618i | 1.02030 | + | 0.410817i | ||||
\(124\) | −1.42664 | + | 0.113398i | −0.128116 | + | 0.0101834i | ||||
\(125\) | −8.27317 | − | 4.77652i | −0.739975 | − | 0.427225i | ||||
\(126\) | 11.8016 | − | 15.8960i | 1.05137 | − | 1.41613i | ||||
\(127\) | 15.4897 | − | 8.94299i | 1.37449 | − | 0.793562i | 0.383000 | − | 0.923748i | \(-0.374891\pi\) |
0.991490 | + | 0.130186i | \(0.0415575\pi\) | |||||||
\(128\) | 7.13432 | − | 8.78074i | 0.630591 | − | 0.776115i | ||||
\(129\) | 1.04704 | + | 0.0353152i | 0.0921869 | + | 0.00310933i | ||||
\(130\) | −1.54753 | + | 6.85148i | −0.135727 | + | 0.600915i | ||||
\(131\) | 0.587315 | − | 3.33083i | 0.0513140 | − | 0.291016i | −0.948342 | − | 0.317250i | \(-0.897240\pi\) |
0.999656 | + | 0.0262343i | \(0.00835158\pi\) | |||||||
\(132\) | 1.79711 | + | 8.03131i | 0.156418 | + | 0.699036i | ||||
\(133\) | 6.45327 | − | 5.41494i | 0.559570 | − | 0.469535i | ||||
\(134\) | −0.508653 | + | 0.791468i | −0.0439410 | + | 0.0683724i | ||||
\(135\) | −3.50670 | + | 12.3963i | −0.301809 | + | 1.06690i | ||||
\(136\) | 5.15237 | + | 0.740910i | 0.441812 | + | 0.0635325i | ||||
\(137\) | 4.18635 | + | 4.98910i | 0.357664 | + | 0.426247i | 0.914633 | − | 0.404286i | \(-0.132480\pi\) |
−0.556968 | + | 0.830534i | \(0.688036\pi\) | |||||||
\(138\) | 6.74938 | − | 1.85156i | 0.574546 | − | 0.157615i | ||||
\(139\) | −3.77403 | − | 0.665463i | −0.320109 | − | 0.0564438i | 0.0112850 | − | 0.999936i | \(-0.496408\pi\) |
−0.331394 | + | 0.943492i | \(0.607519\pi\) | |||||||
\(140\) | 16.2311 | + | 16.4911i | 1.37178 | + | 1.39375i | ||||
\(141\) | 5.16670 | − | 2.75508i | 0.435114 | − | 0.232020i | ||||
\(142\) | 1.02018 | − | 2.43551i | 0.0856116 | − | 0.204384i | ||||
\(143\) | −2.37970 | − | 4.12176i | −0.199001 | − | 0.344679i | ||||
\(144\) | −5.02853 | + | 10.8956i | −0.419044 | + | 0.907966i | ||||
\(145\) | 8.09652 | − | 14.0236i | 0.672379 | − | 1.16460i | ||||
\(146\) | 0.889557 | + | 1.16888i | 0.0736202 | + | 0.0967373i | ||||
\(147\) | 15.7800 | + | 20.1480i | 1.30151 | + | 1.66178i | ||||
\(148\) | −5.97905 | + | 21.6252i | −0.491475 | + | 1.77758i | ||||
\(149\) | 1.86523 | − | 2.22289i | 0.152805 | − | 0.182106i | −0.684211 | − | 0.729284i | \(-0.739853\pi\) |
0.837016 | + | 0.547178i | \(0.184298\pi\) | |||||||
\(150\) | −2.55304 | − | 1.17208i | −0.208454 | − | 0.0956996i | ||||
\(151\) | 0.547815 | − | 1.50511i | 0.0445806 | − | 0.122484i | −0.915405 | − | 0.402535i | \(-0.868129\pi\) |
0.959985 | + | 0.280051i | \(0.0903514\pi\) | |||||||
\(152\) | −3.15645 | + | 4.01357i | −0.256022 | + | 0.325544i | ||||
\(153\) | −5.48949 | + | 0.590191i | −0.443799 | + | 0.0477141i | ||||
\(154\) | −15.6607 | − | 0.746123i | −1.26198 | − | 0.0601243i | ||||
\(155\) | 0.308070 | + | 1.74715i | 0.0247448 | + | 0.140335i | ||||
\(156\) | 0.892250 | − | 6.88206i | 0.0714372 | − | 0.551006i | ||||
\(157\) | −7.36520 | + | 2.68071i | −0.587807 | + | 0.213944i | −0.618765 | − | 0.785577i | \(-0.712366\pi\) |
0.0309578 | + | 0.999521i | \(0.490144\pi\) | |||||||
\(158\) | 14.1428 | + | 13.0632i | 1.12514 | + | 1.03925i | ||||
\(159\) | 8.50329 | − | 2.77409i | 0.674355 | − | 0.219999i | ||||
\(160\) | −11.6765 | − | 7.76912i | −0.923107 | − | 0.614203i | ||||
\(161\) | 13.3330i | 1.05079i | ||||||||
\(162\) | 2.30960 | − | 12.5166i | 0.181459 | − | 0.983399i | ||||
\(163\) | 12.5843i | 0.985676i | 0.870121 | + | 0.492838i | \(0.164040\pi\) | ||||
−0.870121 | + | 0.492838i | \(0.835960\pi\) | |||||||
\(164\) | 6.05412 | − | 12.7182i | 0.472747 | − | 0.993126i | ||||
\(165\) | 9.69907 | − | 3.16419i | 0.755072 | − | 0.246332i | ||||
\(166\) | 2.78264 | − | 3.01259i | 0.215975 | − | 0.233823i | ||||
\(167\) | 7.12937 | − | 2.59488i | 0.551687 | − | 0.200798i | −0.0511090 | − | 0.998693i | \(-0.516276\pi\) |
0.602796 | + | 0.797895i | \(0.294053\pi\) | |||||||
\(168\) | −17.4829 | − | 14.7296i | −1.34883 | − | 1.13642i | ||||
\(169\) | −1.56053 | − | 8.85023i | −0.120041 | − | 0.680787i | ||||
\(170\) | 0.307082 | − | 6.44549i | 0.0235521 | − | 0.494347i | ||||
\(171\) | 2.19102 | − | 4.95281i | 0.167551 | − | 0.378751i | ||||
\(172\) | 0.115007 | − | 1.20423i | 0.00876920 | − | 0.0918215i | ||||
\(173\) | −0.820320 | + | 2.25381i | −0.0623678 | + | 0.171354i | −0.966963 | − | 0.254919i | \(-0.917951\pi\) |
0.904595 | + | 0.426273i | \(0.140174\pi\) | |||||||
\(174\) | −6.67493 | + | 14.5394i | −0.506025 | + | 1.10223i | ||||
\(175\) | 3.44004 | − | 4.09968i | 0.260042 | − | 0.309906i | ||||
\(176\) | 9.38376 | − | 1.50124i | 0.707328 | − | 0.113160i | ||||
\(177\) | −8.74239 | − | 11.1623i | −0.657118 | − | 0.839012i | ||||
\(178\) | −11.8724 | + | 9.03527i | −0.889873 | + | 0.677222i | ||||
\(179\) | 12.3836 | − | 21.4490i | 0.925593 | − | 1.60317i | 0.134988 | − | 0.990847i | \(-0.456901\pi\) |
0.790605 | − | 0.612326i | \(-0.209766\pi\) | |||||||
\(180\) | 14.0381 | + | 4.92127i | 1.04634 | + | 0.366810i | ||||
\(181\) | 10.8787 | + | 18.8424i | 0.808605 | + | 1.40054i | 0.913830 | + | 0.406096i | \(0.133110\pi\) |
−0.105225 | + | 0.994448i | \(0.533556\pi\) | |||||||
\(182\) | 12.1939 | + | 5.10775i | 0.903874 | + | 0.378612i | ||||
\(183\) | −8.92520 | + | 4.75925i | −0.659770 | + | 0.351814i | ||||
\(184\) | −1.65497 | − | 7.91018i | −0.122006 | − | 0.583147i | ||||
\(185\) | 27.3908 | + | 4.82973i | 2.01381 | + | 0.355089i | ||||
\(186\) | −0.463708 | − | 1.69033i | −0.0340007 | − | 0.123941i | ||||
\(187\) | 2.81047 | + | 3.34939i | 0.205522 | + | 0.244931i | ||||
\(188\) | −2.80861 | − | 6.15023i | −0.204839 | − | 0.448552i | ||||
\(189\) | 21.8313 | + | 10.5515i | 1.58799 | + | 0.767506i | ||||
\(190\) | 5.32486 | + | 3.42213i | 0.386306 | + | 0.248268i | ||||
\(191\) | 7.21505 | − | 6.05415i | 0.522063 | − | 0.438063i | −0.343287 | − | 0.939230i | \(-0.611540\pi\) |
0.865350 | + | 0.501168i | \(0.167096\pi\) | |||||||
\(192\) | 12.2005 | + | 6.56870i | 0.880495 | + | 0.474055i | ||||
\(193\) | −0.963275 | + | 5.46301i | −0.0693381 | + | 0.393236i | 0.930312 | + | 0.366770i | \(0.119536\pi\) |
−0.999650 | + | 0.0264657i | \(0.991575\pi\) | |||||||
\(194\) | −21.4504 | − | 4.84493i | −1.54005 | − | 0.347846i | ||||
\(195\) | −8.59781 | − | 0.289991i | −0.615702 | − | 0.0207667i | ||||
\(196\) | 24.3408 | − | 16.7569i | 1.73863 | − | 1.19692i | ||||
\(197\) | −13.5445 | + | 7.81992i | −0.965006 | + | 0.557146i | −0.897710 | − | 0.440587i | \(-0.854770\pi\) |
−0.0672958 | + | 0.997733i | \(0.521437\pi\) | |||||||
\(198\) | −9.24994 | + | 4.00449i | −0.657364 | + | 0.284587i | ||||
\(199\) | −13.9609 | − | 8.06033i | −0.989662 | − | 0.571382i | −0.0844887 | − | 0.996424i | \(-0.526926\pi\) |
−0.905173 | + | 0.425043i | \(0.860259\pi\) | |||||||
\(200\) | −1.53202 | + | 2.85924i | −0.108330 | + | 0.202179i | ||||
\(201\) | −1.06888 | − | 0.430375i | −0.0753929 | − | 0.0303563i | ||||
\(202\) | 10.6677 | − | 3.31697i | 0.750578 | − | 0.233381i | ||||
\(203\) | −23.3475 | − | 19.5909i | −1.63867 | − | 1.37501i | ||||
\(204\) | 0.290632 | + | 6.36862i | 0.0203483 | + | 0.445893i | ||||
\(205\) | −16.4081 | − | 5.97207i | −1.14599 | − | 0.417108i | ||||
\(206\) | −6.95289 | − | 13.4870i | −0.484431 | − | 0.939681i | ||||
\(207\) | 3.77592 | + | 7.69520i | 0.262444 | + | 0.534854i | ||||
\(208\) | −7.86838 | − | 1.51673i | −0.545574 | − | 0.105167i | ||||
\(209\) | −4.22375 | + | 0.744760i | −0.292163 | + | 0.0515162i | ||||
\(210\) | −16.1164 | + | 23.3103i | −1.11214 | + | 1.60856i | ||||
\(211\) | 3.29026 | + | 9.03991i | 0.226511 | + | 0.622333i | 0.999933 | − | 0.0115578i | \(-0.00367906\pi\) |
−0.773423 | + | 0.633891i | \(0.781457\pi\) | |||||||
\(212\) | −2.59373 | − | 9.99706i | −0.178138 | − | 0.686601i | ||||
\(213\) | 3.16412 | + | 0.668618i | 0.216802 | + | 0.0458130i | ||||
\(214\) | −17.8539 | + | 2.27838i | −1.22047 | + | 0.155747i | ||||
\(215\) | −1.49961 | −0.102272 | ||||||||
\(216\) | −14.2617 | − | 3.55012i | −0.970387 | − | 0.241555i | ||||
\(217\) | 3.33915 | 0.226677 | ||||||||
\(218\) | −4.41711 | + | 0.563677i | −0.299165 | + | 0.0381770i | ||||
\(219\) | −1.20217 | + | 1.33835i | −0.0812352 | + | 0.0904372i | ||||
\(220\) | −2.95847 | − | 11.4029i | −0.199460 | − | 0.768784i | ||||
\(221\) | −1.26097 | − | 3.46450i | −0.0848222 | − | 0.233047i | ||||
\(222\) | −27.3882 | − | 2.23221i | −1.83818 | − | 0.149816i | ||||
\(223\) | −10.1708 | + | 1.79339i | −0.681088 | + | 0.120094i | −0.503480 | − | 0.864007i | \(-0.667947\pi\) |
−0.177608 | + | 0.984101i | \(0.556836\pi\) | |||||||
\(224\) | −18.2169 | + | 19.1040i | −1.21717 | + | 1.27644i | ||||
\(225\) | 0.824400 | − | 3.34036i | 0.0549600 | − | 0.222691i | ||||
\(226\) | −1.53749 | − | 2.98237i | −0.102272 | − | 0.198384i | ||||
\(227\) | 12.4052 | + | 4.51512i | 0.823362 | + | 0.299679i | 0.719131 | − | 0.694874i | \(-0.244540\pi\) |
0.104230 | + | 0.994553i | \(0.466762\pi\) | |||||||
\(228\) | −5.55272 | − | 2.87667i | −0.367738 | − | 0.190512i | ||||
\(229\) | 13.0462 | + | 10.9471i | 0.862117 | + | 0.723402i | 0.962423 | − | 0.271555i | \(-0.0875377\pi\) |
−0.100306 | + | 0.994957i | \(0.531982\pi\) | |||||||
\(230\) | −9.56635 | + | 2.97452i | −0.630786 | + | 0.196134i | ||||
\(231\) | −2.69506 | − | 19.0121i | −0.177322 | − | 1.25090i | ||||
\(232\) | 16.2833 | + | 8.72479i | 1.06905 | + | 0.572811i | ||||
\(233\) | 15.8755 | + | 9.16572i | 1.04004 | + | 0.600467i | 0.919844 | − | 0.392284i | \(-0.128315\pi\) |
0.120194 | + | 0.992750i | \(0.461648\pi\) | |||||||
\(234\) | 8.48427 | − | 0.505365i | 0.554634 | − | 0.0330367i | ||||
\(235\) | −7.25856 | + | 4.19073i | −0.473496 | + | 0.273373i | ||||
\(236\) | −13.4852 | + | 9.28360i | −0.877812 | + | 0.604311i | ||||
\(237\) | −12.4715 | + | 20.0115i | −0.810109 | + | 1.29989i | ||||
\(238\) | −11.8468 | − | 2.67581i | −0.767915 | − | 0.173447i | ||||
\(239\) | −3.60534 | + | 20.4469i | −0.233210 | + | 1.32260i | 0.613140 | + | 0.789974i | \(0.289906\pi\) |
−0.846350 | + | 0.532627i | \(0.821205\pi\) | |||||||
\(240\) | 6.66809 | − | 15.8299i | 0.430423 | − | 1.02182i | ||||
\(241\) | 10.8109 | − | 9.07140i | 0.696390 | − | 0.584340i | −0.224354 | − | 0.974508i | \(-0.572027\pi\) |
0.920744 | + | 0.390167i | \(0.127583\pi\) | |||||||
\(242\) | −6.37172 | − | 4.09492i | −0.409590 | − | 0.263231i | ||||
\(243\) | 15.5882 | − | 0.0928179i | 0.999982 | − | 0.00595427i | ||||
\(244\) | 4.85173 | + | 10.6242i | 0.310600 | + | 0.680145i | ||||
\(245\) | −23.5471 | − | 28.0623i | −1.50437 | − | 1.79284i | ||||
\(246\) | 16.6897 | + | 4.36585i | 1.06410 | + | 0.278356i | ||||
\(247\) | 3.56156 | + | 0.628000i | 0.226617 | + | 0.0399587i | ||||
\(248\) | −1.98104 | + | 0.414474i | −0.125796 | + | 0.0263191i | ||||
\(249\) | 4.26271 | + | 2.65659i | 0.270139 | + | 0.168354i | ||||
\(250\) | −12.4610 | − | 5.21962i | −0.788103 | − | 0.330118i | ||||
\(251\) | 12.3464 | + | 21.3846i | 0.779297 | + | 1.34978i | 0.932347 | + | 0.361564i | \(0.117757\pi\) |
−0.153050 | + | 0.988218i | \(0.548910\pi\) | |||||||
\(252\) | 13.7100 | − | 24.4122i | 0.863652 | − | 1.53782i | ||||
\(253\) | 3.39406 | − | 5.87868i | 0.213383 | − | 0.369590i | ||||
\(254\) | 20.1286 | − | 15.3185i | 1.26298 | − | 0.961169i | ||||
\(255\) | 7.82481 | − | 1.10921i | 0.490009 | − | 0.0694614i | ||||
\(256\) | 8.43637 | − | 13.5951i | 0.527273 | − | 0.849696i | ||||
\(257\) | −13.4321 | + | 16.0077i | −0.837868 | + | 0.998533i | 0.162062 | + | 0.986780i | \(0.448185\pi\) |
−0.999931 | + | 0.0117523i | \(0.996259\pi\) | |||||||
\(258\) | 1.47515 | − | 0.137899i | 0.0918389 | − | 0.00858521i | ||||
\(259\) | 17.9045 | − | 49.1922i | 1.11253 | − | 3.05665i | ||||
\(260\) | −0.944382 | + | 9.88855i | −0.0585681 | + | 0.613262i | ||||
\(261\) | −19.0232 | − | 4.69492i | −1.17751 | − | 0.290608i | ||||
\(262\) | 0.227626 | − | 4.77775i | 0.0140628 | − | 0.295171i | ||||
\(263\) | −0.464688 | − | 2.63538i | −0.0286539 | − | 0.162504i | 0.967123 | − | 0.254308i | \(-0.0818478\pi\) |
−0.995777 | + | 0.0918040i | \(0.970737\pi\) | |||||||
\(264\) | 3.95880 | + | 10.9449i | 0.243648 | + | 0.673612i | ||||
\(265\) | −12.0310 | + | 4.37892i | −0.739057 | + | 0.268995i | ||||
\(266\) | 8.08351 | − | 8.75153i | 0.495632 | − | 0.536591i | ||||
\(267\) | −13.5937 | − | 12.2105i | −0.831919 | − | 0.747271i | ||||
\(268\) | −0.571870 | + | 1.20136i | −0.0349325 | + | 0.0733847i | ||||
\(269\) | − | 18.9582i | − | 1.15590i | −0.816071 | − | 0.577952i | \(-0.803852\pi\) | ||
0.816071 | − | 0.577952i | \(-0.196148\pi\) | |||||||
\(270\) | −2.70016 | + | 18.0178i | −0.164327 | + | 1.09653i | ||||
\(271\) | 7.16436i | 0.435204i | 0.976038 | + | 0.217602i | \(0.0698234\pi\) | ||||
−0.976038 | + | 0.217602i | \(0.930177\pi\) | |||||||
\(272\) | 7.36058 | + | 0.117004i | 0.446300 | + | 0.00709443i | ||||
\(273\) | −3.34758 | + | 15.8419i | −0.202605 | + | 0.958794i | ||||
\(274\) | 6.76591 | + | 6.24946i | 0.408744 | + | 0.377544i | ||||
\(275\) | −2.56036 | + | 0.931896i | −0.154396 | + | 0.0561955i | ||||
\(276\) | 9.13682 | − | 3.80570i | 0.549972 | − | 0.229076i | ||||
\(277\) | 2.95763 | + | 16.7735i | 0.177707 | + | 1.00782i | 0.934973 | + | 0.354719i | \(0.115423\pi\) |
−0.757266 | + | 0.653106i | \(0.773466\pi\) | |||||||
\(278\) | −5.41348 | − | 0.257914i | −0.324679 | − | 0.0154686i | ||||
\(279\) | 1.92720 | − | 0.945649i | 0.115379 | − | 0.0566145i | ||||
\(280\) | 25.7218 | + | 20.2287i | 1.53717 | + | 1.20890i | ||||
\(281\) | 8.47273 | − | 23.2786i | 0.505441 | − | 1.38869i | −0.380453 | − | 0.924800i | \(-0.624232\pi\) |
0.885894 | − | 0.463887i | \(-0.153546\pi\) | |||||||
\(282\) | 6.75482 | − | 4.78986i | 0.402244 | − | 0.285232i | ||||
\(283\) | −4.75165 | + | 5.66279i | −0.282456 | + | 0.336618i | −0.888554 | − | 0.458772i | \(-0.848290\pi\) |
0.606098 | + | 0.795390i | \(0.292734\pi\) | |||||||
\(284\) | 0.995143 | − | 3.59926i | 0.0590509 | − | 0.213577i | ||||
\(285\) | −2.89549 | + | 7.19123i | −0.171514 | + | 0.425972i | ||||
\(286\) | −4.07621 | − | 5.35615i | −0.241031 | − | 0.316716i | ||||
\(287\) | −16.4324 | + | 28.4618i | −0.969974 | + | 1.68004i | ||||
\(288\) | −5.10369 | + | 16.1849i | −0.300738 | + | 0.953707i | ||||
\(289\) | −6.80651 | − | 11.7892i | −0.400383 | − | 0.693483i | ||||
\(290\) | 8.84761 | − | 21.1222i | 0.519550 | − | 1.24034i | ||||
\(291\) | 0.907894 | − | 26.9177i | 0.0532217 | − | 1.57794i | ||||
\(292\) | 1.45715 | + | 1.48050i | 0.0852735 | + | 0.0866398i | ||||
\(293\) | 2.00549 | + | 0.353621i | 0.117162 | + | 0.0206588i | 0.231922 | − | 0.972734i | \(-0.425499\pi\) |
−0.114760 | + | 0.993393i | \(0.536610\pi\) | |||||||
\(294\) | 25.7436 | + | 25.4394i | 1.50140 | + | 1.48366i | ||||
\(295\) | 13.0455 | + | 15.5470i | 0.759538 | + | 0.905183i | ||||
\(296\) | −4.51632 | + | 31.4070i | −0.262506 | + | 1.82549i | ||||
\(297\) | −6.93968 | − | 10.2096i | −0.402681 | − | 0.592423i | ||||
\(298\) | 2.21867 | − | 3.45226i | 0.128524 | − | 0.199984i | ||||
\(299\) | −4.38476 | + | 3.67925i | −0.253577 | + | 0.212777i | ||||
\(300\) | −3.79132 | − | 1.18719i | −0.218892 | − | 0.0685425i | ||||
\(301\) | −0.490123 | + | 2.77962i | −0.0282502 | + | 0.160215i | ||||
\(302\) | 0.499052 | − | 2.20949i | 0.0287172 | − | 0.127142i | ||||
\(303\) | 6.43781 | + | 12.0731i | 0.369842 | + | 0.693579i | ||||
\(304\) | −3.70948 | + | 6.19545i | −0.212753 | + | 0.355334i | ||||
\(305\) | 12.5388 | − | 7.23926i | 0.717968 | − | 0.414519i | ||||
\(306\) | −7.59521 | + | 1.81067i | −0.434189 | + | 0.103509i | ||||
\(307\) | 7.15348 | + | 4.13006i | 0.408271 | + | 0.235715i | 0.690046 | − | 0.723765i | \(-0.257590\pi\) |
−0.281776 | + | 0.959480i | \(0.590923\pi\) | |||||||
\(308\) | −22.1030 | + | 1.75688i | −1.25944 | + | 0.100107i | ||||
\(309\) | 14.6307 | − | 11.4588i | 0.832310 | − | 0.651869i | ||||
\(310\) | 0.744945 | + | 2.39582i | 0.0423100 | + | 0.136073i | ||||
\(311\) | 17.7965 | + | 14.9330i | 1.00915 | + | 0.846775i | 0.988225 | − | 0.153006i | \(-0.0488954\pi\) |
0.0209220 | + | 0.999781i | \(0.493340\pi\) | |||||||
\(312\) | 0.0196632 | − | 9.81414i | 0.00111321 | − | 0.555616i | ||||
\(313\) | 12.2324 | + | 4.45222i | 0.691414 | + | 0.251654i | 0.663741 | − | 0.747963i | \(-0.268968\pi\) |
0.0276735 | + | 0.999617i | \(0.491190\pi\) | |||||||
\(314\) | −9.85227 | + | 5.07911i | −0.555996 | + | 0.286631i | ||||
\(315\) | −31.7411 | − | 14.0415i | −1.78841 | − | 0.791152i | ||||
\(316\) | 22.1786 | + | 15.7938i | 1.24764 | + | 0.888468i | ||||
\(317\) | −5.90446 | + | 1.04112i | −0.331628 | + | 0.0584749i | −0.336983 | − | 0.941511i | \(-0.609406\pi\) |
0.00535522 | + | 0.999986i | \(0.498295\pi\) | |||||||
\(318\) | 11.4321 | − | 5.41384i | 0.641081 | − | 0.303593i | ||||
\(319\) | 5.30711 | + | 14.5812i | 0.297141 | + | 0.816389i | ||||
\(320\) | −17.7710 | − | 8.80850i | −0.993431 | − | 0.492410i | ||||
\(321\) | −6.83689 | − | 20.9568i | −0.381598 | − | 1.16970i | ||||
\(322\) | 2.38687 | + | 18.7041i | 0.133015 | + | 1.04234i | ||||
\(323\) | −3.32237 | −0.184862 | ||||||||
\(324\) | 0.999274 | − | 17.9722i | 0.0555152 | − | 0.998458i | ||||
\(325\) | 2.29752 | 0.127443 | ||||||||
\(326\) | 2.25282 | + | 17.6537i | 0.124772 | + | 0.977746i | ||||
\(327\) | −1.69146 | − | 5.18477i | −0.0935381 | − | 0.286719i | ||||
\(328\) | 6.21614 | − | 18.9254i | 0.343229 | − | 1.04498i | ||||
\(329\) | 5.39547 | + | 14.8239i | 0.297462 | + | 0.817269i | ||||
\(330\) | 13.0398 | − | 6.17517i | 0.717815 | − | 0.339932i | ||||
\(331\) | −20.0853 | + | 3.54158i | −1.10399 | + | 0.194663i | −0.695800 | − | 0.718236i | \(-0.744950\pi\) |
−0.408187 | + | 0.912898i | \(0.633839\pi\) | |||||||
\(332\) | 3.36428 | − | 4.72432i | 0.184639 | − | 0.259281i | ||||
\(333\) | −3.59759 | − | 33.4620i | −0.197147 | − | 1.83370i | ||||
\(334\) | 9.53681 | − | 4.91648i | 0.521831 | − | 0.269018i | ||||
\(335\) | 1.54991 | + | 0.564120i | 0.0846805 | + | 0.0308212i | ||||
\(336\) | −27.1625 | − | 17.5335i | −1.48183 | − | 0.956533i | ||||
\(337\) | −0.423775 | − | 0.355590i | −0.0230845 | − | 0.0193702i | 0.631172 | − | 0.775643i | \(-0.282574\pi\) |
−0.654257 | + | 0.756272i | \(0.727018\pi\) | |||||||
\(338\) | −3.77353 | − | 12.1361i | −0.205253 | − | 0.660115i | ||||
\(339\) | 3.23528 | − | 2.53388i | 0.175716 | − | 0.137622i | ||||
\(340\) | −0.723079 | − | 9.09695i | −0.0392145 | − | 0.493351i | ||||
\(341\) | −1.47227 | − | 0.850016i | −0.0797279 | − | 0.0460309i | ||||
\(342\) | 2.18699 | − | 7.34023i | 0.118259 | − | 0.396914i | ||||
\(343\) | −31.4228 | + | 18.1420i | −1.69667 | + | 0.979574i | ||||
\(344\) | −0.0542436 | − | 1.70992i | −0.00292462 | − | 0.0921930i | ||||
\(345\) | −5.77315 | − | 10.8266i | −0.310816 | − | 0.582884i | ||||
\(346\) | −0.747300 | + | 3.30858i | −0.0401751 | + | 0.177870i | ||||
\(347\) | −1.00594 | + | 5.70495i | −0.0540015 | + | 0.306258i | −0.999831 | − | 0.0184072i | \(-0.994140\pi\) |
0.945829 | + | 0.324665i | \(0.105252\pi\) | |||||||
\(348\) | −6.76100 | + | 21.5914i | −0.362428 | + | 1.15742i | ||||
\(349\) | −8.36132 | + | 7.01598i | −0.447571 | + | 0.375557i | −0.838534 | − | 0.544850i | \(-0.816587\pi\) |
0.390962 | + | 0.920407i | \(0.372142\pi\) | |||||||
\(350\) | 4.09189 | − | 6.36701i | 0.218721 | − | 0.340331i | ||||
\(351\) | 2.55435 | + | 10.0912i | 0.136341 | + | 0.538630i | ||||
\(352\) | 12.8951 | − | 3.78586i | 0.687313 | − | 0.201787i | ||||
\(353\) | 20.7168 | + | 24.6893i | 1.10264 | + | 1.31408i | 0.945178 | + | 0.326554i | \(0.105888\pi\) |
0.157465 | + | 0.987525i | \(0.449668\pi\) | |||||||
\(354\) | −14.2624 | − | 14.0939i | −0.758039 | − | 0.749081i | ||||
\(355\) | −4.55887 | − | 0.803852i | −0.241960 | − | 0.0426640i | ||||
\(356\) | −15.0375 | + | 14.8004i | −0.796988 | + | 0.784419i | ||||
\(357\) | 0.501420 | − | 14.8664i | 0.0265380 | − | 0.786811i | ||||
\(358\) | 13.5324 | − | 32.3064i | 0.715208 | − | 1.70744i | ||||
\(359\) | −12.4329 | − | 21.5345i | −0.656185 | − | 1.13655i | −0.981595 | − | 0.190973i | \(-0.938836\pi\) |
0.325410 | − | 0.945573i | \(-0.394498\pi\) | |||||||
\(360\) | 20.5742 | + | 4.39065i | 1.08435 | + | 0.231408i | ||||
\(361\) | −7.87050 | + | 13.6321i | −0.414237 | + | 0.717480i | ||||
\(362\) | 18.6341 | + | 24.4853i | 0.979389 | + | 1.28692i | ||||
\(363\) | 3.46474 | − | 8.60502i | 0.181852 | − | 0.451646i | ||||
\(364\) | 18.0205 | + | 4.98240i | 0.944529 | + | 0.261149i | ||||
\(365\) | 1.65525 | − | 1.97265i | 0.0866398 | − | 0.103253i | ||||
\(366\) | −11.6686 | + | 8.27424i | −0.609928 | + | 0.432501i | ||||
\(367\) | −5.44785 | + | 14.9678i | −0.284375 | + | 0.781315i | 0.712452 | + | 0.701721i | \(0.247585\pi\) |
−0.996827 | + | 0.0795941i | \(0.974638\pi\) | |||||||
\(368\) | −3.73773 | − | 10.8004i | −0.194842 | − | 0.563011i | ||||
\(369\) | −1.42364 | + | 21.0804i | −0.0741119 | + | 1.09740i | ||||
\(370\) | 39.2894 | + | 1.87186i | 2.04256 | + | 0.0973134i | ||||
\(371\) | 4.18449 | + | 23.7314i | 0.217248 | + | 1.23208i | ||||
\(372\) | −0.953109 | − | 2.28825i | −0.0494164 | − | 0.118640i | ||||
\(373\) | −32.2490 | + | 11.7377i | −1.66979 | + | 0.607754i | −0.991856 | − | 0.127367i | \(-0.959347\pi\) |
−0.677936 | + | 0.735121i | \(0.737125\pi\) | |||||||
\(374\) | 4.54224 | + | 4.19552i | 0.234873 | + | 0.216945i | ||||
\(375\) | 3.42090 | − | 16.1888i | 0.176655 | − | 0.835988i | ||||
\(376\) | −5.04103 | − | 8.12498i | −0.259971 | − | 0.419014i | ||||
\(377\) | − | 13.0843i | − | 0.673874i | ||||||
\(378\) | 32.5147 | + | 10.8938i | 1.67237 | + | 0.560315i | ||||
\(379\) | − | 20.3118i | − | 1.04335i | −0.853145 | − | 0.521673i | \(-0.825308\pi\) | ||
0.853145 | − | 0.521673i | \(-0.174692\pi\) | |||||||
\(380\) | 8.08254 | + | 3.84745i | 0.414626 | + | 0.197370i | ||||
\(381\) | 23.0469 | + | 20.7019i | 1.18073 | + | 1.06059i | ||||
\(382\) | 9.03774 | − | 9.78461i | 0.462411 | − | 0.500624i | ||||
\(383\) | 23.4300 | − | 8.52782i | 1.19722 | − | 0.435751i | 0.334964 | − | 0.942231i | \(-0.391276\pi\) |
0.862252 | + | 0.506480i | \(0.169053\pi\) | |||||||
\(384\) | 18.2912 | + | 7.03069i | 0.933421 | + | 0.358783i | ||||
\(385\) | 4.77294 | + | 27.0687i | 0.243252 | + | 1.37955i | ||||
\(386\) | −0.373337 | + | 7.83615i | −0.0190024 | + | 0.398850i | ||||
\(387\) | 0.504314 | + | 1.74307i | 0.0256357 | + | 0.0886053i | ||||
\(388\) | −30.9587 | − | 2.95664i | −1.57169 | − | 0.150100i | ||||
\(389\) | −2.43782 | + | 6.69786i | −0.123602 | + | 0.339595i | −0.986026 | − | 0.166593i | \(-0.946723\pi\) |
0.862423 | + | 0.506188i | \(0.168946\pi\) | |||||||
\(390\) | −12.1132 | + | 1.13236i | −0.613378 | + | 0.0573393i | ||||
\(391\) | 3.38002 | − | 4.02815i | 0.170935 | − | 0.203712i | ||||
\(392\) | 31.1463 | − | 27.8646i | 1.57313 | − | 1.40738i | ||||
\(393\) | 5.80018 | − | 0.822207i | 0.292580 | − | 0.0414749i | ||||
\(394\) | −17.6008 | + | 13.3948i | −0.886716 | + | 0.674820i | ||||
\(395\) | 16.8761 | − | 29.2303i | 0.849131 | − | 1.47074i | ||||
\(396\) | −12.2593 | + | 7.27356i | −0.616052 | + | 0.365510i | ||||
\(397\) | −18.3887 | − | 31.8501i | −0.922901 | − | 1.59851i | −0.794903 | − | 0.606736i | \(-0.792478\pi\) |
−0.127997 | − | 0.991775i | \(-0.540855\pi\) | |||||||
\(398\) | −21.0278 | − | 8.80806i | −1.05403 | − | 0.441508i | ||||
\(399\) | 12.3831 | + | 7.71734i | 0.619931 | + | 0.386350i | ||||
\(400\) | −1.63732 | + | 4.28531i | −0.0818659 | + | 0.214265i | ||||
\(401\) | −36.2027 | − | 6.38352i | −1.80788 | − | 0.318778i | −0.835027 | − | 0.550209i | \(-0.814548\pi\) |
−0.972851 | + | 0.231431i | \(0.925659\pi\) | |||||||
\(402\) | −1.57651 | − | 0.412397i | −0.0786291 | − | 0.0205685i | ||||
\(403\) | 0.921440 | + | 1.09813i | 0.0459002 | + | 0.0547017i | ||||
\(404\) | 14.3713 | − | 6.56290i | 0.714998 | − | 0.326516i | ||||
\(405\) | −22.2960 | + | 0.884948i | −1.10790 | + | 0.0439734i | ||||
\(406\) | −36.2598 | − | 23.3032i | −1.79955 | − | 1.15652i | ||||
\(407\) | −20.4167 | + | 17.1316i | −1.01202 | + | 0.849182i | ||||
\(408\) | 1.54781 | + | 8.88211i | 0.0766282 | + | 0.439730i | ||||
\(409\) | 1.78158 | − | 10.1038i | 0.0880934 | − | 0.499602i | −0.908553 | − | 0.417770i | \(-0.862812\pi\) |
0.996646 | − | 0.0818323i | \(-0.0260772\pi\) | |||||||
\(410\) | −24.0871 | − | 5.44048i | −1.18957 | − | 0.268686i | ||||
\(411\) | −5.96636 | + | 9.57353i | −0.294299 | + | 0.472227i | ||||
\(412\) | −12.1682 | − | 17.6753i | −0.599484 | − | 0.870800i | ||||
\(413\) | 33.0812 | − | 19.0994i | 1.62782 | − | 0.939822i | ||||
\(414\) | 6.67458 | + | 10.1192i | 0.328038 | + | 0.497329i | ||||
\(415\) | −6.22644 | − | 3.59484i | −0.305644 | − | 0.176464i | ||||
\(416\) | −11.3096 | − | 0.719144i | −0.554498 | − | 0.0352589i | ||||
\(417\) | −0.931609 | − | 6.57195i | −0.0456211 | − | 0.321830i | ||||
\(418\) | −5.79190 | + | 1.80091i | −0.283291 | + | 0.0880853i | ||||
\(419\) | 24.0344 | + | 20.1673i | 1.17416 | + | 0.985237i | 1.00000 | 0.000519235i | \(0.000165278\pi\) | |
0.174160 | + | 0.984717i | \(0.444279\pi\) | |||||||
\(420\) | −18.4357 | + | 35.5857i | −0.899570 | + | 1.73640i | ||||
\(421\) | 19.3207 | + | 7.03216i | 0.941634 | + | 0.342727i | 0.766811 | − | 0.641873i | \(-0.221842\pi\) |
0.174823 | + | 0.984600i | \(0.444065\pi\) | |||||||
\(422\) | 6.23401 | + | 12.0925i | 0.303467 | + | 0.588654i | ||||
\(423\) | 7.31214 | + | 7.02768i | 0.355529 | + | 0.341697i | ||||
\(424\) | −5.42824 | − | 13.5599i | −0.263619 | − | 0.658528i | ||||
\(425\) | −2.07859 | + | 0.366512i | −0.100827 | + | 0.0177784i | ||||
\(426\) | 4.55845 | + | 0.371524i | 0.220857 | + | 0.0180004i | ||||
\(427\) | −9.32038 | − | 25.6075i | −0.451045 | − | 1.23924i | ||||
\(428\) | −24.6383 | + | 6.39239i | −1.19094 | + | 0.308988i | ||||
\(429\) | 5.50870 | − | 6.13270i | 0.265962 | − | 0.296089i | ||||
\(430\) | −2.10370 | + | 0.268458i | −0.101450 | + | 0.0129462i | ||||
\(431\) | 11.1277 | 0.536001 | 0.268000 | − | 0.963419i | \(-0.413637\pi\) | ||||
0.268000 | + | 0.963419i | \(0.413637\pi\) | |||||||
\(432\) | −20.6424 | − | 2.42712i | −0.993158 | − | 0.116775i | ||||
\(433\) | 3.88415 | 0.186660 | 0.0933301 | − | 0.995635i | \(-0.470249\pi\) | ||||
0.0933301 | + | 0.995635i | \(0.470249\pi\) | |||||||
\(434\) | 4.68429 | − | 0.597772i | 0.224853 | − | 0.0286940i | ||||
\(435\) | 27.4412 | + | 5.79866i | 1.31570 | + | 0.278024i | ||||
\(436\) | −6.09558 | + | 1.58149i | −0.291925 | + | 0.0757398i | ||||
\(437\) | 1.76416 | + | 4.84699i | 0.0843912 | + | 0.231863i | ||||
\(438\) | −1.44686 | + | 2.09270i | −0.0691337 | + | 0.0999928i | ||||
\(439\) | −13.3089 | + | 2.34672i | −0.635199 | + | 0.112003i | −0.481970 | − | 0.876188i | \(-0.660079\pi\) |
−0.153230 | + | 0.988191i | \(0.548967\pi\) | |||||||
\(440\) | −6.19159 | − | 15.4668i | −0.295173 | − | 0.737350i | ||||
\(441\) | −24.6995 | + | 36.8073i | −1.17617 | + | 1.75273i | ||||
\(442\) | −2.38915 | − | 4.63439i | −0.113640 | − | 0.220435i | ||||
\(443\) | −7.47039 | − | 2.71900i | −0.354929 | − | 0.129184i | 0.158401 | − | 0.987375i | \(-0.449366\pi\) |
−0.513330 | + | 0.858191i | \(0.671588\pi\) | |||||||
\(444\) | −38.8208 | + | 1.77159i | −1.84235 | + | 0.0840759i | ||||
\(445\) | 20.0363 | + | 16.8125i | 0.949813 | + | 0.796988i | ||||
\(446\) | −13.9469 | + | 4.33660i | −0.660407 | + | 0.205344i | ||||
\(447\) | 4.66229 | + | 1.87723i | 0.220519 | + | 0.0887900i | ||||
\(448\) | −22.1354 | + | 30.0609i | −1.04580 | + | 1.42025i | ||||
\(449\) | −9.00315 | − | 5.19797i | −0.424885 | − | 0.245307i | 0.272280 | − | 0.962218i | \(-0.412222\pi\) |
−0.697165 | + | 0.716911i | \(0.745556\pi\) | |||||||
\(450\) | 0.558511 | − | 4.83356i | 0.0263285 | − | 0.227856i | ||||
\(451\) | 14.4905 | − | 8.36607i | 0.682329 | − | 0.393943i | ||||
\(452\) | −2.69075 | − | 3.90853i | −0.126562 | − | 0.183842i | ||||
\(453\) | 2.77266 | + | 0.0935175i | 0.130271 | + | 0.00439384i | ||||
\(454\) | 18.2108 | + | 4.11322i | 0.854673 | + | 0.193043i | ||||
\(455\) | 4.02466 | − | 22.8250i | 0.188679 | − | 1.07005i | ||||
\(456\) | −8.30454 | − | 3.04146i | −0.388896 | − | 0.142429i | ||||
\(457\) | 28.6354 | − | 24.0279i | 1.33951 | − | 1.12398i | 0.357753 | − | 0.933816i | \(-0.383543\pi\) |
0.981753 | − | 0.190163i | \(-0.0609016\pi\) | |||||||
\(458\) | 20.2614 | + | 13.0214i | 0.946754 | + | 0.608451i | ||||
\(459\) | −3.92076 | − | 8.72217i | −0.183005 | − | 0.407116i | ||||
\(460\) | −12.8875 | + | 5.88532i | −0.600884 | + | 0.274405i | ||||
\(461\) | −8.60771 | − | 10.2583i | −0.400901 | − | 0.477775i | 0.527393 | − | 0.849621i | \(-0.323169\pi\) |
−0.928294 | + | 0.371846i | \(0.878725\pi\) | |||||||
\(462\) | −7.18426 | − | 26.1884i | −0.334242 | − | 1.21839i | ||||
\(463\) | 14.2689 | + | 2.51599i | 0.663131 | + | 0.116928i | 0.495076 | − | 0.868850i | \(-0.335140\pi\) |
0.168055 | + | 0.985778i | \(0.446251\pi\) | |||||||
\(464\) | 24.4047 | + | 9.32445i | 1.13296 | + | 0.432877i | ||||
\(465\) | −2.71143 | + | 1.44584i | −0.125740 | + | 0.0670492i | ||||
\(466\) | 23.9116 | + | 10.0160i | 1.10768 | + | 0.463982i | ||||
\(467\) | −19.0970 | − | 33.0769i | −0.883702 | − | 1.53062i | −0.847194 | − | 0.531284i | \(-0.821710\pi\) |
−0.0365086 | − | 0.999333i | \(-0.511624\pi\) | |||||||
\(468\) | 11.8116 | − | 2.22779i | 0.545991 | − | 0.102980i | ||||
\(469\) | 1.55220 | − | 2.68849i | 0.0716739 | − | 0.124143i | ||||
\(470\) | −9.43235 | + | 7.17833i | −0.435082 | + | 0.331112i | ||||
\(471\) | −8.37071 | − | 10.6878i | −0.385702 | − | 0.492466i | ||||
\(472\) | −17.2556 | + | 15.4375i | −0.794253 | + | 0.710568i | ||||
\(473\) | 0.923682 | − | 1.10080i | 0.0424710 | − | 0.0506149i | ||||
\(474\) | −13.9130 | + | 30.3055i | −0.639046 | + | 1.39198i | ||||
\(475\) | 0.708116 | − | 1.94553i | 0.0324906 | − | 0.0892672i | ||||
\(476\) | −17.0982 | − | 1.63292i | −0.783693 | − | 0.0748447i | ||||
\(477\) | 9.13584 | + | 12.5116i | 0.418301 | + | 0.572868i | ||||
\(478\) | −1.39732 | + | 29.3291i | −0.0639122 | + | 1.34148i | ||||
\(479\) | −5.21540 | − | 29.5780i | −0.238298 | − | 1.35145i | −0.835556 | − | 0.549405i | \(-0.814855\pi\) |
0.597259 | − | 0.802049i | \(-0.296257\pi\) | |||||||
\(480\) | 6.52039 | − | 23.4005i | 0.297614 | − | 1.06808i | ||||
\(481\) | 21.1183 | − | 7.68644i | 0.962912 | − | 0.350471i | ||||
\(482\) | 13.5419 | − | 14.6610i | 0.616819 | − | 0.667792i | ||||
\(483\) | −21.9547 | + | 7.16243i | −0.998974 | + | 0.325902i | ||||
\(484\) | −9.67155 | − | 4.60385i | −0.439616 | − | 0.209266i | ||||
\(485\) | 38.5524i | 1.75057i | ||||||||
\(486\) | 21.8511 | − | 2.92079i | 0.991184 | − | 0.132490i | ||||
\(487\) | − | 14.9474i | − | 0.677331i | −0.940907 | − | 0.338666i | \(-0.890024\pi\) | ||
0.940907 | − | 0.338666i | \(-0.109976\pi\) | |||||||
\(488\) | 8.70812 | + | 14.0355i | 0.394198 | + | 0.635356i | ||||
\(489\) | −20.7217 | + | 6.76020i | −0.937070 | + | 0.305707i | ||||
\(490\) | −38.0564 | − | 35.1515i | −1.71921 | − | 1.58798i | ||||
\(491\) | 7.42871 | − | 2.70383i | 0.335253 | − | 0.122022i | −0.168908 | − | 0.985632i | \(-0.554024\pi\) |
0.504161 | + | 0.863610i | \(0.331802\pi\) | |||||||
\(492\) | 24.1946 | + | 3.13679i | 1.09077 | + | 0.141418i | ||||
\(493\) | 2.08727 | + | 11.8375i | 0.0940059 | + | 0.533134i | ||||
\(494\) | 5.10872 | + | 0.243394i | 0.229852 | + | 0.0109508i | ||||
\(495\) | 10.4206 | + | 14.2711i | 0.468370 | + | 0.641438i | ||||
\(496\) | −2.70488 | + | 0.936084i | −0.121453 | + | 0.0420314i | ||||
\(497\) | −2.97999 | + | 8.18746i | −0.133671 | + | 0.367258i | ||||
\(498\) | 6.45547 | + | 2.96365i | 0.289277 | + | 0.132804i | ||||
\(499\) | −14.1617 | + | 16.8772i | −0.633963 | + | 0.755528i | −0.983404 | − | 0.181431i | \(-0.941927\pi\) |
0.349440 | + | 0.936959i | \(0.386372\pi\) | |||||||
\(500\) | −18.4152 | − | 5.09153i | −0.823551 | − | 0.227700i | ||||
\(501\) | 8.10268 | + | 10.3455i | 0.362001 | + | 0.462205i | ||||
\(502\) | 21.1482 | + | 27.7888i | 0.943891 | + | 1.24028i | ||||
\(503\) | −15.3597 | + | 26.6038i | −0.684855 | + | 1.18620i | 0.288628 | + | 0.957441i | \(0.406801\pi\) |
−0.973482 | + | 0.228762i | \(0.926532\pi\) | |||||||
\(504\) | 14.8627 | − | 36.7006i | 0.662039 | − | 1.63478i | ||||
\(505\) | −9.79250 | − | 16.9611i | −0.435761 | − | 0.754759i | ||||
\(506\) | 3.70892 | − | 8.85444i | 0.164881 | − | 0.393628i | ||||
\(507\) | 13.7348 | − | 7.32393i | 0.609985 | − | 0.325267i | ||||
\(508\) | 25.4948 | − | 25.0928i | 1.13115 | − | 1.11331i | ||||
\(509\) | 17.3155 | + | 3.05319i | 0.767496 | + | 0.135330i | 0.543670 | − | 0.839299i | \(-0.317034\pi\) |
0.223826 | + | 0.974629i | \(0.428145\pi\) | |||||||
\(510\) | 10.7784 | − | 2.95683i | 0.477274 | − | 0.130931i | ||||
\(511\) | −3.11546 | − | 3.71286i | −0.137820 | − | 0.164247i | ||||
\(512\) | 9.40107 | − | 20.5820i | 0.415473 | − | 0.909606i | ||||
\(513\) | 9.33250 | + | 0.947189i | 0.412040 | + | 0.0418194i | ||||
\(514\) | −15.9773 | + | 24.8608i | −0.704729 | + | 1.09656i | ||||
\(515\) | −20.3778 | + | 17.0990i | −0.897952 | + | 0.753471i | ||||
\(516\) | 2.04471 | − | 0.457530i | 0.0900134 | − | 0.0201416i | ||||
\(517\) | 1.39466 | − | 7.90950i | 0.0613370 | − | 0.347859i | ||||
\(518\) | 16.3107 | − | 72.2138i | 0.716653 | − | 3.17289i | ||||
\(519\) | −4.15188 | − | 0.140037i | −0.182247 | − | 0.00614693i | ||||
\(520\) | 0.445423 | + | 14.0411i | 0.0195331 | + | 0.615743i | ||||
\(521\) | 22.6652 | − | 13.0858i | 0.992980 | − | 0.573297i | 0.0868161 | − | 0.996224i | \(-0.472331\pi\) |
0.906164 | + | 0.422927i | \(0.138997\pi\) | |||||||
\(522\) | −27.5269 | − | 3.18070i | −1.20482 | − | 0.139215i | ||||
\(523\) | 7.08428 | + | 4.09011i | 0.309774 | + | 0.178848i | 0.646825 | − | 0.762638i | \(-0.276096\pi\) |
−0.337051 | + | 0.941486i | \(0.609430\pi\) | |||||||
\(524\) | −0.535986 | − | 6.74316i | −0.0234147 | − | 0.294576i | ||||
\(525\) | 8.59866 | + | 3.46218i | 0.375276 | + | 0.151102i | ||||
\(526\) | −1.12366 | − | 3.61382i | −0.0489941 | − | 0.157570i | ||||
\(527\) | −1.00882 | − | 0.846499i | −0.0439448 | − | 0.0368741i | ||||
\(528\) | 7.51290 | + | 14.6452i | 0.326957 | + | 0.637351i | ||||
\(529\) | 13.9415 | + | 5.07430i | 0.606153 | + | 0.220622i | ||||
\(530\) | −16.0936 | + | 8.29668i | −0.699061 | + | 0.360385i | ||||
\(531\) | 13.6840 | − | 20.3919i | 0.593833 | − | 0.884933i | ||||
\(532\) | 9.77316 | − | 13.7241i | 0.423720 | − | 0.595014i | ||||
\(533\) | −13.8946 | + | 2.44999i | −0.601841 | + | 0.106121i | ||||
\(534\) | −21.2556 | − | 14.6958i | −0.919820 | − | 0.635951i | ||||
\(535\) | 10.7921 | + | 29.6510i | 0.466583 | + | 1.28192i | ||||
\(536\) | −0.587175 | + | 1.78769i | −0.0253621 | + | 0.0772163i | ||||
\(537\) | 41.9712 | + | 8.86902i | 1.81119 | + | 0.382726i | ||||
\(538\) | −3.39388 | − | 26.5953i | −0.146321 | − | 1.14661i | ||||
\(539\) | 35.1033 | 1.51201 | ||||||||
\(540\) | −0.562367 | + | 25.7594i | −0.0242004 | + | 1.10851i | ||||
\(541\) | −7.80321 | −0.335486 | −0.167743 | − | 0.985831i | \(-0.553648\pi\) | ||||
−0.167743 | + | 0.985831i | \(0.553648\pi\) | |||||||
\(542\) | 1.28256 | + | 10.0504i | 0.0550905 | + | 0.431703i | ||||
\(543\) | −25.1827 | + | 28.0353i | −1.08069 | + | 1.20311i | ||||
\(544\) | 10.3466 | − | 1.15354i | 0.443608 | − | 0.0494578i | ||||
\(545\) | 2.66999 | + | 7.33574i | 0.114370 | + | 0.314228i | ||||
\(546\) | −1.86012 | + | 22.8228i | −0.0796056 | + | 0.976728i | ||||
\(547\) | 39.6028 | − | 6.98304i | 1.69329 | − | 0.298573i | 0.757950 | − | 0.652313i | \(-0.226201\pi\) |
0.935344 | + | 0.353740i | \(0.115090\pi\) | |||||||
\(548\) | 10.6102 | + | 7.55575i | 0.453247 | + | 0.322765i | ||||
\(549\) | −12.6313 | − | 12.1399i | −0.539093 | − | 0.518120i | ||||
\(550\) | −3.42495 | + | 1.76565i | −0.146040 | + | 0.0752877i | ||||
\(551\) | −11.0797 | − | 4.03269i | −0.472012 | − | 0.171798i | ||||
\(552\) | 12.1362 | − | 6.97445i | 0.516550 | − | 0.296852i | ||||
\(553\) | −48.6648 | − | 40.8346i | −2.06944 | − | 1.73646i | ||||
\(554\) | 7.15185 | + | 23.0011i | 0.303853 | + | 0.977222i | ||||
\(555\) | 6.76134 | + | 47.6972i | 0.287003 | + | 2.02463i | ||||
\(556\) | −7.64040 | + | 0.607304i | −0.324025 | + | 0.0257554i | ||||
\(557\) | 27.5205 | + | 15.8890i | 1.16608 | + | 0.673238i | 0.952754 | − | 0.303742i | \(-0.0982361\pi\) |
0.213329 | + | 0.976980i | \(0.431569\pi\) | |||||||
\(558\) | 2.53426 | − | 1.67160i | 0.107284 | − | 0.0707643i | ||||
\(559\) | −1.04937 | + | 0.605854i | −0.0443836 | + | 0.0256249i | ||||
\(560\) | 39.7048 | + | 23.7729i | 1.67783 | + | 1.00459i | ||||
\(561\) | −4.00547 | + | 6.42710i | −0.169111 | + | 0.271353i | ||||
\(562\) | 7.71855 | − | 34.1729i | 0.325587 | − | 1.44150i | ||||
\(563\) | 4.72244 | − | 26.7823i | 0.199027 | − | 1.12874i | −0.707539 | − | 0.706675i | \(-0.750195\pi\) |
0.906566 | − | 0.422064i | \(-0.138694\pi\) | |||||||
\(564\) | 8.61844 | − | 7.92864i | 0.362902 | − | 0.333856i | ||||
\(565\) | −4.50613 | + | 3.78109i | −0.189574 | + | 0.159072i | ||||
\(566\) | −5.65204 | + | 8.79461i | −0.237573 | + | 0.369665i | ||||
\(567\) | −5.64680 | + | 41.6165i | −0.237143 | + | 1.74773i | ||||
\(568\) | 0.751688 | − | 5.22733i | 0.0315401 | − | 0.219334i | ||||
\(569\) | −10.7609 | − | 12.8243i | −0.451121 | − | 0.537625i | 0.491771 | − | 0.870725i | \(-0.336350\pi\) |
−0.942892 | + | 0.333100i | \(0.891905\pi\) | |||||||
\(570\) | −2.77453 | + | 10.6065i | −0.116212 | + | 0.444256i | ||||
\(571\) | −16.5413 | − | 2.91668i | −0.692233 | − | 0.122059i | −0.183546 | − | 0.983011i | \(-0.558758\pi\) |
−0.508687 | + | 0.860952i | \(0.669869\pi\) | |||||||
\(572\) | −6.67711 | − | 6.78409i | −0.279184 | − | 0.283657i | ||||
\(573\) | 13.8449 | + | 8.62833i | 0.578378 | + | 0.360454i | ||||
\(574\) | −17.9568 | + | 42.8689i | −0.749502 | + | 1.78931i | ||||
\(575\) | 1.63842 | + | 2.83783i | 0.0683269 | + | 0.118346i | ||||
\(576\) | −4.26223 | + | 23.6185i | −0.177593 | + | 0.984104i | ||||
\(577\) | −1.22069 | + | 2.11429i | −0.0508179 | + | 0.0880192i | −0.890315 | − | 0.455344i | \(-0.849516\pi\) |
0.839497 | + | 0.543364i | \(0.182849\pi\) | |||||||
\(578\) | −11.6589 | − | 15.3199i | −0.484947 | − | 0.637222i | ||||
\(579\) | −9.51307 | + | 1.34853i | −0.395350 | + | 0.0560429i | ||||
\(580\) | 8.63048 | − | 31.2150i | 0.358361 | − | 1.29613i | ||||
\(581\) | −8.69830 | + | 10.3662i | −0.360866 | + | 0.430064i | ||||
\(582\) | −3.54515 | − | 37.9237i | −0.146951 | − | 1.57199i | ||||
\(583\) | 4.19609 | − | 11.5287i | 0.173784 | − | 0.477468i | ||||
\(584\) | 2.30919 | + | 1.81604i | 0.0955549 | + | 0.0751485i | ||||
\(585\) | −4.14119 | − | 14.3133i | −0.171217 | − | 0.591781i | ||||
\(586\) | 2.87668 | + | 0.137053i | 0.118834 | + | 0.00566162i | ||||
\(587\) | 2.47253 | + | 14.0224i | 0.102052 | + | 0.578766i | 0.992357 | + | 0.123401i | \(0.0393802\pi\) |
−0.890305 | + | 0.455365i | \(0.849509\pi\) | |||||||
\(588\) | 40.6683 | + | 31.0787i | 1.67713 | + | 1.28167i | ||||
\(589\) | 1.21389 | − | 0.441820i | 0.0500175 | − | 0.0182049i | ||||
\(590\) | 21.0839 | + | 19.4745i | 0.868011 | + | 0.801754i | ||||
\(591\) | −20.1526 | − | 18.1021i | −0.828968 | − | 0.744621i | ||||
\(592\) | −0.713216 | + | 44.8674i | −0.0293130 | + | 1.84404i | ||||
\(593\) | − | 14.5479i | − | 0.597412i | −0.954345 | − | 0.298706i | \(-0.903445\pi\) | ||
0.954345 | − | 0.298706i | \(-0.0965549\pi\) | |||||||
\(594\) | −11.5630 | − | 13.0801i | −0.474434 | − | 0.536684i | ||||
\(595\) | 21.2921i | 0.872890i | ||||||||
\(596\) | 2.49441 | − | 5.24015i | 0.102175 | − | 0.214645i | ||||
\(597\) | 5.77274 | − | 27.3185i | 0.236263 | − | 1.11807i | ||||
\(598\) | −5.49245 | + | 5.94635i | −0.224603 | + | 0.243164i | ||||
\(599\) | −27.4921 | + | 10.0063i | −1.12330 | + | 0.408846i | −0.835854 | − | 0.548952i | \(-0.815027\pi\) |
−0.287442 | + | 0.957798i | \(0.592805\pi\) | |||||||
\(600\) | −5.53113 | − | 0.986718i | −0.225807 | − | 0.0402826i | ||||
\(601\) | −1.13737 | − | 6.45037i | −0.0463945 | − | 0.263116i | 0.952784 | − | 0.303650i | \(-0.0982053\pi\) |
−0.999178 | + | 0.0405338i | \(0.987094\pi\) | |||||||
\(602\) | −0.189957 | + | 3.98710i | −0.00774208 | + | 0.162502i | ||||
\(603\) | 0.134477 | − | 1.99125i | 0.00547633 | − | 0.0810901i | ||||
\(604\) | 0.304548 | − | 3.18890i | 0.0123919 | − | 0.129754i | ||||
\(605\) | −4.54146 | + | 12.4776i | −0.184636 | + | 0.507285i | ||||
\(606\) | 11.1925 | + | 15.7840i | 0.454664 | + | 0.641183i | ||||
\(607\) | 21.3252 | − | 25.4144i | 0.865565 | − | 1.03154i | −0.133614 | − | 0.991033i | \(-0.542658\pi\) |
0.999179 | − | 0.0405067i | \(-0.0128972\pi\) | |||||||
\(608\) | −4.09469 | + | 9.35528i | −0.166061 | + | 0.379407i | ||||
\(609\) | 19.7170 | − | 48.9690i | 0.798971 | − | 1.98432i | ||||
\(610\) | 16.2939 | − | 12.4002i | 0.659720 | − | 0.502069i | ||||
\(611\) | −3.38618 | + | 5.86504i | −0.136990 | + | 0.237274i | ||||
\(612\) | −10.3307 | + | 3.89976i | −0.417594 | + | 0.157638i | ||||
\(613\) | 4.11508 | + | 7.12752i | 0.166206 | + | 0.287878i | 0.937083 | − | 0.349107i | \(-0.113515\pi\) |
−0.770877 | + | 0.636984i | \(0.780182\pi\) | |||||||
\(614\) | 10.7745 | + | 4.51320i | 0.434825 | + | 0.182138i | ||||
\(615\) | 1.01949 | − | 30.2265i | 0.0411099 | − | 1.21885i | ||||
\(616\) | −30.6924 | + | 6.42147i | −1.23663 | + | 0.258728i | ||||
\(617\) | −18.2737 | − | 3.22215i | −0.735673 | − | 0.129719i | −0.206756 | − | 0.978392i | \(-0.566291\pi\) |
−0.528917 | + | 0.848673i | \(0.677402\pi\) | |||||||
\(618\) | 18.4731 | − | 18.6940i | 0.743097 | − | 0.751984i | ||||
\(619\) | −8.14884 | − | 9.71141i | −0.327530 | − | 0.390335i | 0.577001 | − | 0.816744i | \(-0.304223\pi\) |
−0.904530 | + | 0.426409i | \(0.859778\pi\) | |||||||
\(620\) | 1.47393 | + | 3.22758i | 0.0591946 | + | 0.129623i | ||||
\(621\) | −10.6428 | + | 10.3514i | −0.427082 | + | 0.415387i | ||||
\(622\) | 27.6389 | + | 17.7627i | 1.10822 | + | 0.712220i | ||||
\(623\) | 37.7117 | − | 31.6438i | 1.51089 | − | 1.26778i | ||||
\(624\) | −1.72933 | − | 13.7712i | −0.0692287 | − | 0.551288i | ||||
\(625\) | −5.10856 | + | 28.9721i | −0.204342 | + | 1.15888i | ||||
\(626\) | 17.9570 | + | 4.05591i | 0.717708 | + | 0.162107i | ||||
\(627\) | −3.49533 | − | 6.55491i | −0.139590 | − | 0.261778i | ||||
\(628\) | −12.9119 | + | 8.88891i | −0.515240 | + | 0.354706i | ||||
\(629\) | −17.8798 | + | 10.3229i | −0.712915 | + | 0.411602i | ||||
\(630\) | −47.0413 | − | 14.0158i | −1.87417 | − | 0.558401i | ||||
\(631\) | −26.9805 | − | 15.5772i | −1.07408 | − | 0.620119i | −0.144785 | − | 0.989463i | \(-0.546249\pi\) |
−0.929293 | + | 0.369344i | \(0.879582\pi\) | |||||||
\(632\) | 33.9403 | + | 18.1857i | 1.35007 | + | 0.723388i | ||||
\(633\) | −13.1180 | + | 10.2741i | −0.521392 | + | 0.408357i | ||||
\(634\) | −8.09662 | + | 2.51753i | −0.321558 | + | 0.0999838i | ||||
\(635\) | −33.9698 | − | 28.5041i | −1.34805 | − | 1.13115i | ||||
\(636\) | 15.0682 | − | 9.64130i | 0.597494 | − | 0.382302i | ||||
\(637\) | −27.8148 | − | 10.1238i | −1.10206 | − | 0.401118i | ||||
\(638\) | 10.0553 | + | 19.5049i | 0.398094 | + | 0.772208i | ||||
\(639\) | 0.598777 | + | 5.56935i | 0.0236873 | + | 0.220320i | ||||
\(640\) | −26.5068 | − | 9.17554i | −1.04777 | − | 0.362695i | ||||
\(641\) | −31.4814 | + | 5.55103i | −1.24344 | + | 0.219252i | −0.756390 | − | 0.654121i | \(-0.773039\pi\) |
−0.487052 | + | 0.873373i | \(0.661928\pi\) | |||||||
\(642\) | −13.3427 | − | 28.1751i | −0.526595 | − | 1.11198i | ||||
\(643\) | 10.2506 | + | 28.1633i | 0.404244 | + | 1.11065i | 0.960169 | + | 0.279420i | \(0.0901421\pi\) |
−0.555925 | + | 0.831233i | \(0.687636\pi\) | |||||||
\(644\) | 6.69677 | + | 25.8115i | 0.263890 | + | 1.01711i | ||||
\(645\) | −0.805580 | − | 2.46931i | −0.0317197 | − | 0.0972290i | ||||
\(646\) | −4.66075 | + | 0.594767i | −0.183375 | + | 0.0234008i | ||||
\(647\) | −1.60615 | −0.0631443 | −0.0315721 | − | 0.999501i | \(-0.510051\pi\) | ||||
−0.0315721 | + | 0.999501i | \(0.510051\pi\) | |||||||
\(648\) | −1.81555 | − | 25.3910i | −0.0713216 | − | 0.997453i | ||||
\(649\) | −19.4478 | −0.763394 | ||||||||
\(650\) | 3.22304 | − | 0.411299i | 0.126418 | − | 0.0161325i | ||||
\(651\) | 1.79378 | + | 5.49838i | 0.0703036 | + | 0.215499i | ||||
\(652\) | 6.32068 | + | 24.3619i | 0.247537 | + | 0.954087i | ||||
\(653\) | −5.67960 | − | 15.6046i | −0.222260 | − | 0.610654i | 0.777576 | − | 0.628790i | \(-0.216449\pi\) |
−0.999836 | + | 0.0181352i | \(0.994227\pi\) | |||||||
\(654\) | −3.30102 | − | 6.97059i | −0.129080 | − | 0.272572i | ||||
\(655\) | −8.25808 | + | 1.45612i | −0.322670 | + | 0.0568954i | ||||
\(656\) | 5.33223 | − | 27.6620i | 0.208189 | − | 1.08002i | ||||
\(657\) | −2.84958 | − | 1.26059i | −0.111173 | − | 0.0491803i | ||||
\(658\) | 10.2227 | + | 19.8297i | 0.398523 | + | 0.773040i | ||||
\(659\) | −22.5548 | − | 8.20928i | −0.878611 | − | 0.319788i | −0.136962 | − | 0.990576i | \(-0.543734\pi\) |
−0.741649 | + | 0.670788i | \(0.765956\pi\) | |||||||
\(660\) | 17.1872 | − | 10.9971i | 0.669011 | − | 0.428062i | ||||
\(661\) | 0.722514 | + | 0.606261i | 0.0281025 | + | 0.0235808i | 0.656731 | − | 0.754125i | \(-0.271939\pi\) |
−0.628628 | + | 0.777706i | \(0.716383\pi\) | |||||||
\(662\) | −27.5424 | + | 8.56390i | −1.07046 | + | 0.332845i | ||||
\(663\) | 5.02739 | − | 3.93748i | 0.195248 | − | 0.152919i | ||||
\(664\) | 3.87379 | − | 7.22973i | 0.150332 | − | 0.280568i | ||||
\(665\) | −18.0877 | − | 10.4429i | −0.701411 | − | 0.404960i | ||||
\(666\) | −11.0372 | − | 46.2977i | −0.427681 | − | 1.79400i | ||||
\(667\) | 16.1613 | − | 9.33075i | 0.625769 | − | 0.361288i | ||||
\(668\) | 12.4984 | − | 8.60429i | 0.483579 | − | 0.332910i | ||||
\(669\) | −8.41677 | − | 15.7843i | −0.325411 | − | 0.610255i | ||||
\(670\) | 2.27526 | + | 0.513906i | 0.0879008 | + | 0.0198539i | ||||
\(671\) | −2.40920 | + | 13.6632i | −0.0930061 | + | 0.527464i | ||||
\(672\) | −41.2434 | − | 19.7341i | −1.59100 | − | 0.761259i | ||||
\(673\) | −4.60299 | + | 3.86237i | −0.177432 | + | 0.148883i | −0.727179 | − | 0.686448i | \(-0.759169\pi\) |
0.549746 | + | 0.835332i | \(0.314724\pi\) | |||||||
\(674\) | −0.658145 | − | 0.422971i | −0.0253508 | − | 0.0162922i | ||||
\(675\) | 5.94323 | − | 0.436933i | 0.228755 | − | 0.0168176i | ||||
\(676\) | −7.46624 | − | 16.3494i | −0.287163 | − | 0.628823i | ||||
\(677\) | −2.76557 | − | 3.29588i | −0.106290 | − | 0.126671i | 0.710277 | − | 0.703922i | \(-0.248570\pi\) |
−0.816567 | + | 0.577251i | \(0.804125\pi\) | |||||||
\(678\) | 4.08495 | − | 4.13380i | 0.156882 | − | 0.158758i | ||||
\(679\) | 71.4595 | + | 12.6002i | 2.74236 | + | 0.483553i | ||||
\(680\) | −2.64289 | − | 12.6321i | −0.101350 | − | 0.484419i | ||||
\(681\) | −0.770777 | + | 22.8524i | −0.0295362 | + | 0.875705i | ||||
\(682\) | −2.21752 | − | 0.928869i | −0.0849134 | − | 0.0355682i | ||||
\(683\) | −7.98799 | − | 13.8356i | −0.305652 | − | 0.529405i | 0.671754 | − | 0.740774i | \(-0.265541\pi\) |
−0.977406 | + | 0.211369i | \(0.932208\pi\) | |||||||
\(684\) | 1.75395 | − | 10.6887i | 0.0670641 | − | 0.408691i | ||||
\(685\) | 8.07356 | − | 13.9838i | 0.308475 | − | 0.534294i | ||||
\(686\) | −40.8333 | + | 31.0755i | −1.55902 | + | 1.18647i | ||||
\(687\) | −11.0175 | + | 27.3631i | −0.420345 | + | 1.04397i | ||||
\(688\) | −0.382204 | − | 2.38904i | −0.0145714 | − | 0.0910811i | ||||
\(689\) | −6.64972 | + | 7.92483i | −0.253334 | + | 0.301912i | ||||
\(690\) | −10.0369 | − | 14.1544i | −0.382100 | − | 0.538850i | ||||
\(691\) | −6.40655 | + | 17.6018i | −0.243717 | + | 0.669606i | 0.756167 | + | 0.654378i | \(0.227070\pi\) |
−0.999884 | + | 0.0152277i | \(0.995153\pi\) | |||||||
\(692\) | −0.456042 | + | 4.77518i | −0.0173361 | + | 0.181525i | ||||
\(693\) | 29.8583 | − | 14.6510i | 1.13422 | − | 0.556545i | ||||
\(694\) | −0.389872 | + | 8.18320i | −0.0147993 | + | 0.310630i | ||||
\(695\) | 1.64987 | + | 9.35690i | 0.0625833 | + | 0.354927i | ||||
\(696\) | −5.61932 | + | 31.4996i | −0.213000 | + | 1.19399i | ||||
\(697\) | 12.1798 | − | 4.43307i | 0.461342 | − | 0.167915i | ||||
\(698\) | −10.4736 | + | 11.3391i | −0.396431 | + | 0.429192i | ||||
\(699\) | −6.56442 | + | 31.0650i | −0.248289 | + | 1.17499i | ||||
\(700\) | 4.60044 | − | 9.66440i | 0.173880 | − | 0.365280i | ||||
\(701\) | − | 2.57851i | − | 0.0973888i | −0.998814 | − | 0.0486944i | \(-0.984494\pi\) | ||
0.998814 | − | 0.0486944i | \(-0.0155060\pi\) | |||||||
\(702\) | 5.38986 | + | 13.6991i | 0.203427 | + | 0.517038i | ||||
\(703\) | − | 20.2520i | − | 0.763818i | ||||||
\(704\) | 17.4120 | − | 7.61942i | 0.656241 | − | 0.287168i | ||||
\(705\) | −10.7999 | − | 9.70099i | −0.406747 | − | 0.365360i | ||||
\(706\) | 33.4821 | + | 30.9264i | 1.26012 | + | 1.16393i | ||||
\(707\) | −34.6391 | + | 12.6076i | −1.30274 | + | 0.474158i | ||||
\(708\) | −22.5309 | − | 17.2182i | −0.846764 | − | 0.647098i | ||||
\(709\) | −5.73026 | − | 32.4979i | −0.215204 | − | 1.22048i | −0.880552 | − | 0.473950i | \(-0.842828\pi\) |
0.665347 | − | 0.746534i | \(-0.268284\pi\) | |||||||
\(710\) | −6.53926 | − | 0.311549i | −0.245414 | − | 0.0116922i | ||||
\(711\) | −39.6514 | − | 9.78595i | −1.48704 | − | 0.367002i | ||||
\(712\) | −18.4457 | + | 23.4546i | −0.691280 | + | 0.878996i | ||||
\(713\) | −0.699276 | + | 1.92124i | −0.0261881 | + | 0.0719512i | ||||
\(714\) | −1.95795 | − | 20.9449i | −0.0732744 | − | 0.783841i | ||||
\(715\) | −7.58484 | + | 9.03926i | −0.283657 | + | 0.338049i | ||||
\(716\) | 13.2003 | − | 47.7431i | 0.493318 | − | 1.78424i | ||||
\(717\) | −35.6055 | + | 5.04727i | −1.32971 | + | 0.188494i | ||||
\(718\) | −21.2965 | − | 27.9836i | −0.794777 | − | 1.04434i | ||||
\(719\) | −18.8429 | + | 32.6368i | −0.702721 | + | 1.21715i | 0.264787 | + | 0.964307i | \(0.414698\pi\) |
−0.967508 | + | 0.252842i | \(0.918635\pi\) | |||||||
\(720\) | 29.6482 | + | 2.47621i | 1.10492 | + | 0.0922828i | ||||
\(721\) | 25.0340 | + | 43.3602i | 0.932315 | + | 1.61482i | ||||
\(722\) | −8.60063 | + | 20.5326i | −0.320082 | + | 0.764144i | ||||
\(723\) | 20.7449 | + | 12.9285i | 0.771510 | + | 0.480816i | ||||
\(724\) | 30.5240 | + | 31.0131i | 1.13442 | + | 1.15259i | ||||
\(725\) | −7.37674 | − | 1.30072i | −0.273965 | − | 0.0483074i | ||||
\(726\) | 3.32000 | − | 12.6917i | 0.123217 | − | 0.471033i | ||||
\(727\) | 5.29383 | + | 6.30894i | 0.196337 | + | 0.233986i | 0.855227 | − | 0.518254i | \(-0.173418\pi\) |
−0.658889 | + | 0.752240i | \(0.728973\pi\) | |||||||
\(728\) | 26.1717 | + | 3.76349i | 0.969989 | + | 0.139484i | ||||
\(729\) | 8.52672 | + | 25.6183i | 0.315805 | + | 0.948824i | ||||
\(730\) | 1.96891 | − | 3.06363i | 0.0728725 | − | 0.113390i | ||||
\(731\) | 0.852729 | − | 0.715525i | 0.0315393 | − | 0.0264646i | ||||
\(732\) | −14.8879 | + | 13.6963i | −0.550273 | + | 0.506230i | ||||
\(733\) | 0.159851 | − | 0.906562i | 0.00590425 | − | 0.0334846i | −0.981713 | − | 0.190365i | \(-0.939033\pi\) |
0.987618 | + | 0.156881i | \(0.0501438\pi\) | |||||||
\(734\) | −4.96292 | + | 21.9727i | −0.183185 | + | 0.811028i | ||||
\(735\) | 33.5592 | − | 53.8485i | 1.23785 | − | 1.98623i | ||||
\(736\) | −7.17690 | − | 14.4821i | −0.264544 | − | 0.533818i | ||||
\(737\) | −1.36876 | + | 0.790257i | −0.0504191 | + | 0.0291095i | ||||
\(738\) | 1.77666 | + | 29.8273i | 0.0653997 | + | 1.09796i | ||||
\(739\) | 21.9417 | + | 12.6681i | 0.807139 | + | 0.466002i | 0.845961 | − | 0.533244i | \(-0.179027\pi\) |
−0.0388223 | + | 0.999246i | \(0.512361\pi\) | |||||||
\(740\) | 55.4517 | − | 4.40763i | 2.03845 | − | 0.162028i | ||||
\(741\) | 0.879163 | + | 6.20197i | 0.0322968 | + | 0.227835i | ||||
\(742\) | 10.1185 | + | 32.5422i | 0.371463 | + | 1.19466i | ||||
\(743\) | 16.8393 | + | 14.1298i | 0.617773 | + | 0.518373i | 0.897103 | − | 0.441822i | \(-0.145668\pi\) |
−0.279330 | + | 0.960195i | \(0.590112\pi\) | |||||||
\(744\) | −1.74670 | − | 3.03941i | −0.0640370 | − | 0.111430i | ||||
\(745\) | −6.76046 | − | 2.46061i | −0.247684 | − | 0.0901497i | ||||
\(746\) | −43.1389 | + | 22.2393i | −1.57943 | + | 0.814237i | ||||
\(747\) | −2.08453 | + | 8.44626i | −0.0762691 | + | 0.309032i | ||||
\(748\) | 7.12309 | + | 5.07248i | 0.260446 | + | 0.185468i | ||||
\(749\) | 58.4875 | − | 10.3129i | 2.13709 | − | 0.376826i | ||||
\(750\) | 1.90086 | − | 23.3227i | 0.0694095 | − | 0.851625i | ||||
\(751\) | −14.1809 | − | 38.9618i | −0.517470 | − | 1.42174i | −0.873298 | − | 0.487186i | \(-0.838023\pi\) |
0.355828 | − | 0.934551i | \(-0.384199\pi\) | |||||||
\(752\) | −8.52627 | − | 10.4956i | −0.310921 | − | 0.382734i | ||||
\(753\) | −28.5803 | + | 31.8177i | −1.04152 | + | 1.15950i | ||||
\(754\) | −2.34233 | − | 18.3551i | −0.0853026 | − | 0.668453i | ||||
\(755\) | −3.97108 | −0.144523 | ||||||||
\(756\) | 47.5630 | + | 9.46143i | 1.72985 | + | 0.344109i | ||||
\(757\) | 2.67068 | 0.0970675 | 0.0485338 | − | 0.998822i | \(-0.484545\pi\) | ||||
0.0485338 | + | 0.998822i | \(0.484545\pi\) | |||||||
\(758\) | −3.63619 | − | 28.4941i | −0.132072 | − | 1.03495i | ||||
\(759\) | 11.5033 | + | 2.43080i | 0.417545 | + | 0.0882323i | ||||
\(760\) | 12.0273 | + | 3.95041i | 0.436274 | + | 0.143296i | ||||
\(761\) | −0.975731 | − | 2.68080i | −0.0353702 | − | 0.0971789i | 0.920750 | − | 0.390152i | \(-0.127578\pi\) |
−0.956121 | + | 0.292973i | \(0.905355\pi\) | |||||||
\(762\) | 36.0370 | + | 24.9155i | 1.30548 | + | 0.902593i | ||||
\(763\) | 14.4699 | − | 2.55144i | 0.523847 | − | 0.0923684i | ||||
\(764\) | 10.9268 | − | 15.3441i | 0.395319 | − | 0.555132i | ||||
\(765\) | 6.02991 | + | 12.2888i | 0.218012 | + | 0.444302i | ||||
\(766\) | 31.3418 | − | 16.1575i | 1.13243 | − | 0.583796i | ||||
\(767\) | 15.4099 | + | 5.60875i | 0.556419 | + | 0.202520i | ||||
\(768\) | 26.9183 | + | 6.58844i | 0.971329 | + | 0.237740i | ||||
\(769\) | 16.8767 | + | 14.1612i | 0.608590 | + | 0.510667i | 0.894194 | − | 0.447680i | \(-0.147750\pi\) |
−0.285604 | + | 0.958348i | \(0.592194\pi\) | |||||||
\(770\) | 11.5415 | + | 37.1185i | 0.415926 | + | 1.33766i | ||||
\(771\) | −33.5745 | − | 13.5185i | −1.20916 | − | 0.486857i | ||||
\(772\) | 0.879088 | + | 11.0597i | 0.0316391 | + | 0.398047i | ||||
\(773\) | −25.5618 | − | 14.7581i | −0.919396 | − | 0.530813i | −0.0359534 | − | 0.999353i | \(-0.511447\pi\) |
−0.883442 | + | 0.468540i | \(0.844780\pi\) | |||||||
\(774\) | 1.01951 | + | 2.35496i | 0.0366456 | + | 0.0846475i | ||||
\(775\) | 0.710712 | − | 0.410330i | 0.0255295 | − | 0.0147395i | ||||
\(776\) | −43.9593 | + | 1.39451i | −1.57805 | + | 0.0500601i | ||||
\(777\) | 90.6200 | + | 3.05648i | 3.25097 | + | 0.109650i | ||||
\(778\) | −2.22082 | + | 9.83242i | −0.0796204 | + | 0.352509i | ||||
\(779\) | −2.20779 | + | 12.5210i | −0.0791024 | + | 0.448612i | ||||
\(780\) | −16.7902 | + | 3.75702i | −0.601186 | + | 0.134523i | ||||
\(781\) | 3.39811 | − | 2.85135i | 0.121594 | − | 0.102029i | ||||
\(782\) | 4.02050 | − | 6.25592i | 0.143773 | − | 0.223711i | ||||
\(783\) | −2.48832 | − | 33.8464i | −0.0889251 | − | 1.20957i | ||||
\(784\) | 38.7049 | − | 44.6653i | 1.38232 | − | 1.59519i | ||||
\(785\) | 12.4909 | + | 14.8860i | 0.445818 | + | 0.531306i | ||||
\(786\) | 7.98952 | − | 2.19176i | 0.284977 | − | 0.0781777i | ||||
\(787\) | −37.3662 | − | 6.58868i | −1.33196 | − | 0.234861i | −0.538060 | − | 0.842906i | \(-0.680843\pi\) |
−0.793902 | + | 0.608045i | \(0.791954\pi\) | |||||||
\(788\) | −22.2932 | + | 21.9416i | −0.794161 | + | 0.781637i | ||||
\(789\) | 4.08989 | − | 2.18088i | 0.145604 | − | 0.0776415i | ||||
\(790\) | 18.4417 | − | 44.0265i | 0.656126 | − | 1.56639i | ||||
\(791\) | 5.53576 | + | 9.58822i | 0.196829 | + | 0.340918i | ||||
\(792\) | −15.8957 | + | 12.3983i | −0.564828 | + | 0.440553i | ||||
\(793\) | 5.84945 | − | 10.1315i | 0.207720 | − | 0.359782i | ||||
\(794\) | −31.4981 | − | 41.3886i | −1.11782 | − | 1.46883i | ||||
\(795\) | −13.6735 | − | 17.4584i | −0.484948 | − | 0.619184i | ||||
\(796\) | −31.0754 | − | 8.59190i | −1.10144 | − | 0.304532i | ||||
\(797\) | 16.1467 | − | 19.2429i | 0.571947 | − | 0.681619i | −0.400083 | − | 0.916479i | \(-0.631019\pi\) |
0.972029 | + | 0.234860i | \(0.0754630\pi\) | |||||||
\(798\) | 18.7530 | + | 8.60936i | 0.663850 | + | 0.304768i | ||||
\(799\) | 2.12790 | − | 5.84636i | 0.0752797 | − | 0.206829i | ||||
\(800\) | −1.52974 | + | 6.30470i | −0.0540844 | + | 0.222905i | ||||
\(801\) | 12.8039 | − | 28.9433i | 0.452403 | − | 1.02266i | ||||
\(802\) | −51.9293 | − | 2.47406i | −1.83369 | − | 0.0873622i | ||||
\(803\) | 0.428494 | + | 2.43011i | 0.0151212 | + | 0.0857567i | ||||
\(804\) | −2.28541 | − | 0.296301i | −0.0806002 | − | 0.0104497i | ||||
\(805\) | 31.0629 | − | 11.3060i | 1.09482 | − | 0.398483i | ||||
\(806\) | 1.48922 | + | 1.37554i | 0.0524554 | + | 0.0484514i | ||||
\(807\) | 31.2174 | − | 10.1843i | 1.09890 | − | 0.358503i | ||||
\(808\) | 18.9857 | − | 11.7794i | 0.667914 | − | 0.414398i | ||||
\(809\) | 17.5875i | 0.618343i | 0.951006 | + | 0.309171i | \(0.100052\pi\) | ||||
−0.951006 | + | 0.309171i | \(0.899948\pi\) | |||||||
\(810\) | −31.1193 | + | 5.23285i | −1.09342 | + | 0.183864i | ||||
\(811\) | 51.1104i | 1.79473i | 0.441292 | + | 0.897364i | \(0.354520\pi\) | ||||
−0.441292 | + | 0.897364i | \(0.645480\pi\) | |||||||
\(812\) | −55.0384 | − | 26.1993i | −1.93147 | − | 0.919416i | ||||
\(813\) | −11.7971 | + | 3.84865i | −0.413743 | + | 0.134978i | ||||
\(814\) | −25.5744 | + | 27.6878i | −0.896381 | + | 0.970458i | ||||
\(815\) | 29.3184 | − | 10.6710i | 1.02698 | − | 0.373790i | ||||
\(816\) | 3.76140 | + | 12.1831i | 0.131675 | + | 0.426493i | ||||
\(817\) | 0.189610 | + | 1.07533i | 0.00663363 | + | 0.0376212i | ||||
\(818\) | 0.690487 | − | 14.4930i | 0.0241423 | − | 0.506735i | ||||
\(819\) | −27.8842 | + | 2.99791i | −0.974351 | + | 0.104755i | ||||
\(820\) | −34.7642 | − | 3.32007i | −1.21402 | − | 0.115942i | ||||
\(821\) | −3.57660 | + | 9.82664i | −0.124824 | + | 0.342952i | −0.986327 | − | 0.164801i | \(-0.947302\pi\) |
0.861502 | + | 0.507753i | \(0.169524\pi\) | |||||||
\(822\) | −6.65599 | + | 14.4982i | −0.232154 | + | 0.505683i | ||||
\(823\) | 14.7797 | − | 17.6137i | 0.515187 | − | 0.613976i | −0.444249 | − | 0.895904i | \(-0.646529\pi\) |
0.959436 | + | 0.281927i | \(0.0909737\pi\) | |||||||
\(824\) | −20.2342 | − | 22.6172i | −0.704892 | − | 0.787909i | ||||
\(825\) | −2.90991 | − | 3.71539i | −0.101310 | − | 0.129353i | ||||
\(826\) | 42.9884 | − | 32.7156i | 1.49576 | − | 1.13832i | ||||
\(827\) | 1.77573 | − | 3.07566i | 0.0617483 | − | 0.106951i | −0.833499 | − | 0.552521i | \(-0.813666\pi\) |
0.895247 | + | 0.445570i | \(0.146999\pi\) | |||||||
\(828\) | 11.1749 | + | 13.0007i | 0.388354 | + | 0.451804i | ||||
\(829\) | −1.40521 | − | 2.43389i | −0.0488049 | − | 0.0845326i | 0.840591 | − | 0.541670i | \(-0.182208\pi\) |
−0.889396 | + | 0.457138i | \(0.848875\pi\) | |||||||
\(830\) | −9.37822 | − | 3.92832i | −0.325523 | − | 0.136354i | ||||
\(831\) | −26.0312 | + | 13.8808i | −0.903011 | + | 0.481520i | ||||
\(832\) | −15.9942 | + | 1.01579i | −0.554500 | + | 0.0352160i | ||||
\(833\) | 26.7794 | + | 4.72193i | 0.927852 | + | 0.163605i | ||||
\(834\) | −2.48340 | − | 9.05260i | −0.0859931 | − | 0.313466i | ||||
\(835\) | −12.0909 | − | 14.4094i | −0.418423 | − | 0.498658i | ||||
\(836\) | −7.80270 | + | 3.56324i | −0.269862 | + | 0.123237i | ||||
\(837\) | 2.59243 | + | 2.66541i | 0.0896073 | + | 0.0921301i | ||||
\(838\) | 37.3267 | + | 23.9888i | 1.28943 | + | 0.828680i | ||||
\(839\) | 9.47819 | − | 7.95315i | 0.327223 | − | 0.274573i | −0.464344 | − | 0.885655i | \(-0.653710\pi\) |
0.791567 | + | 0.611082i | \(0.209265\pi\) | |||||||
\(840\) | −19.4918 | + | 53.2212i | −0.672531 | + | 1.83631i | ||||
\(841\) | −2.37174 | + | 13.4508i | −0.0817840 | + | 0.463820i | ||||
\(842\) | 28.3627 | + | 6.40621i | 0.977443 | + | 0.220773i | ||||
\(843\) | 42.8830 | + | 1.44638i | 1.47697 | + | 0.0498160i | ||||
\(844\) | 10.9101 | + | 15.8478i | 0.375541 | + | 0.545504i | ||||
\(845\) | −19.2957 | + | 11.1404i | −0.663792 | + | 0.383241i | ||||
\(846\) | 11.5158 | + | 8.54967i | 0.395923 | + | 0.293944i | ||||
\(847\) | 21.6437 | + | 12.4960i | 0.743687 | + | 0.429368i | ||||
\(848\) | −10.0424 | − | 18.0506i | −0.344858 | − | 0.619860i | ||||
\(849\) | −11.8771 | − | 4.78223i | −0.407622 | − | 0.164126i | ||||
\(850\) | −2.85031 | + | 0.886264i | −0.0977650 | + | 0.0303986i | ||||
\(851\) | 24.5541 | + | 20.6034i | 0.841704 | + | 0.706274i | ||||
\(852\) | 6.46127 | − | 0.294860i | 0.221359 | − | 0.0101017i | ||||
\(853\) | 31.6292 | + | 11.5121i | 1.08296 | + | 0.394167i | 0.821010 | − | 0.570913i | \(-0.193411\pi\) |
0.261954 | + | 0.965080i | \(0.415633\pi\) | |||||||
\(854\) | −17.6592 | − | 34.2547i | −0.604286 | − | 1.17217i | ||||
\(855\) | −13.3968 | − | 0.904738i | −0.458161 | − | 0.0309414i | ||||
\(856\) | −33.4192 | + | 13.3782i | −1.14224 | + | 0.457258i | ||||
\(857\) | 25.5052 | − | 4.49725i | 0.871239 | − | 0.153623i | 0.279884 | − | 0.960034i | \(-0.409704\pi\) |
0.591356 | + | 0.806411i | \(0.298593\pi\) | |||||||
\(858\) | 6.62993 | − | 9.58934i | 0.226342 | − | 0.327375i | ||||
\(859\) | −9.04957 | − | 24.8635i | −0.308767 | − | 0.848331i | −0.992898 | − | 0.118971i | \(-0.962040\pi\) |
0.684130 | − | 0.729360i | \(-0.260182\pi\) | |||||||
\(860\) | −2.90309 | + | 0.753205i | −0.0989947 | + | 0.0256841i | ||||
\(861\) | −55.6936 | − | 11.7687i | −1.89803 | − | 0.401078i | ||||
\(862\) | 15.6103 | − | 1.99206i | 0.531689 | − | 0.0678499i | ||||
\(863\) | −13.2516 | −0.451090 | −0.225545 | − | 0.974233i | \(-0.572416\pi\) | ||||
−0.225545 | + | 0.974233i | \(0.572416\pi\) | |||||||
\(864\) | −29.3924 | + | 0.290527i | −0.999951 | + | 0.00988393i | ||||
\(865\) | 5.94646 | 0.202186 | ||||||||
\(866\) | 5.44883 | − | 0.695336i | 0.185159 | − | 0.0236285i | ||||
\(867\) | 15.7562 | − | 17.5410i | 0.535108 | − | 0.595722i | ||||
\(868\) | 6.46428 | − | 1.67715i | 0.219412 | − | 0.0569263i | ||||
\(869\) | 11.0620 | + | 30.3925i | 0.375252 | + | 1.03100i | ||||
\(870\) | 39.5336 | + | 3.22208i | 1.34031 | + | 0.109239i | ||||
\(871\) | 1.31248 | − | 0.231425i | 0.0444717 | − | 0.00784155i | ||||
\(872\) | −8.26799 | + | 3.30980i | −0.279989 | + | 0.112084i | ||||
\(873\) | 44.8115 | − | 12.9651i | 1.51664 | − | 0.438801i | ||||
\(874\) | 3.34253 | + | 6.48372i | 0.113063 | + | 0.219315i | ||||
\(875\) | 41.8901 | + | 15.2468i | 1.41614 | + | 0.515434i | ||||
\(876\) | −1.65508 | + | 3.19473i | −0.0559199 | + | 0.107940i | ||||
\(877\) | −23.4391 | − | 19.6678i | −0.791483 | − | 0.664133i | 0.154629 | − | 0.987973i | \(-0.450582\pi\) |
−0.946112 | + | 0.323840i | \(0.895026\pi\) | |||||||
\(878\) | −18.2501 | + | 5.67461i | −0.615912 | + | 0.191509i | ||||
\(879\) | 0.495049 | + | 3.49228i | 0.0166976 | + | 0.117792i | ||||
\(880\) | −11.4546 | − | 20.5890i | −0.386136 | − | 0.694054i | ||||
\(881\) | −18.5204 | − | 10.6927i | −0.623967 | − | 0.360248i | 0.154445 | − | 0.988001i | \(-0.450641\pi\) |
−0.778412 | + | 0.627754i | \(0.783974\pi\) | |||||||
\(882\) | −28.0602 | + | 56.0564i | −0.944836 | + | 1.88752i | ||||
\(883\) | 0.600783 | − | 0.346862i | 0.0202180 | − | 0.0116728i | −0.489857 | − | 0.871803i | \(-0.662951\pi\) |
0.510075 | + | 0.860130i | \(0.329618\pi\) | |||||||
\(884\) | −4.18123 | − | 6.07359i | −0.140630 | − | 0.204277i | ||||
\(885\) | −18.5924 | + | 29.8330i | −0.624976 | + | 1.00283i | ||||
\(886\) | −10.9665 | − | 2.47697i | −0.368426 | − | 0.0832155i | ||||
\(887\) | 4.88382 | − | 27.6975i | 0.163983 | − | 0.929992i | −0.786125 | − | 0.618068i | \(-0.787916\pi\) |
0.950107 | − | 0.311924i | \(-0.100973\pi\) | |||||||
\(888\) | −54.1421 | + | 9.43491i | −1.81689 | + | 0.316615i | ||||
\(889\) | −63.9368 | + | 53.6494i | −2.14437 | + | 1.79934i | ||||
\(890\) | 31.1175 | + | 19.9983i | 1.04306 | + | 0.670344i | ||||
\(891\) | 13.0836 | − | 16.9117i | 0.438318 | − | 0.566564i | ||||
\(892\) | −18.7890 | + | 8.58031i | −0.629101 | + | 0.287290i | ||||
\(893\) | 3.92285 | + | 4.67507i | 0.131273 | + | 0.156445i | ||||
\(894\) | 6.87649 | + | 1.79881i | 0.229984 | + | 0.0601613i | ||||
\(895\) | −60.4720 | − | 10.6629i | −2.02136 | − | 0.356420i | ||||
\(896\) | −25.6708 | + | 46.1332i | −0.857602 | + | 1.54120i | ||||
\(897\) | −8.41387 | − | 5.24365i | −0.280931 | − | 0.175080i | ||||
\(898\) | −13.5605 | − | 5.68017i | −0.452519 | − | 0.189550i | ||||
\(899\) | −2.33681 | − | 4.04748i | −0.0779371 | − | 0.134991i | ||||
\(900\) | −0.0817990 | − | 6.88069i | −0.00272663 | − | 0.229356i | ||||
\(901\) | 4.75188 | − | 8.23049i | 0.158308 | − | 0.274197i | ||||
\(902\) | 18.8301 | − | 14.3303i | 0.626973 | − | 0.477147i | ||||
\(903\) | −4.84033 | + | 0.686143i | −0.161076 | + | 0.0228334i | ||||
\(904\) | −4.47438 | − | 5.00134i | −0.148816 | − | 0.166342i | ||||
\(905\) | 34.6737 | − | 41.3225i | 1.15259 | − | 1.37361i | ||||
\(906\) | 3.90633 | − | 0.365168i | 0.129779 | − | 0.0121319i | ||||
\(907\) | −5.84900 | + | 16.0700i | −0.194213 | + | 0.533596i | −0.998129 | − | 0.0611474i | \(-0.980524\pi\) |
0.803916 | + | 0.594743i | \(0.202746\pi\) | |||||||
\(908\) | 26.2831 | + | 2.51010i | 0.872234 | + | 0.0833007i | ||||
\(909\) | −16.4216 | + | 17.0863i | −0.544670 | + | 0.566718i | ||||
\(910\) | 1.55984 | − | 32.7402i | 0.0517081 | − | 1.08533i | ||||
\(911\) | −7.12328 | − | 40.3981i | −0.236005 | − | 1.33845i | −0.840487 | − | 0.541832i | \(-0.817731\pi\) |
0.604482 | − | 0.796619i | \(-0.293380\pi\) | |||||||
\(912\) | −12.1944 | − | 2.78000i | −0.403797 | − | 0.0920552i | ||||
\(913\) | 6.47400 | − | 2.35634i | 0.214258 | − | 0.0779836i | ||||
\(914\) | 35.8693 | − | 38.8335i | 1.18645 | − | 1.28450i | ||||
\(915\) | 18.6562 | + | 16.7579i | 0.616756 | + | 0.554001i | ||||
\(916\) | 30.7546 | + | 14.6398i | 1.01616 | + | 0.483711i | ||||
\(917\) | 15.7829i | 0.521196i | ||||||||
\(918\) | −7.06162 | − | 11.5339i | −0.233068 | − | 0.380675i | ||||
\(919\) | 11.9455i | 0.394044i | 0.980399 | + | 0.197022i | \(0.0631271\pi\) | ||||
−0.980399 | + | 0.197022i | \(0.936873\pi\) | |||||||
\(920\) | −17.0255 | + | 10.5633i | −0.561315 | + | 0.348260i | ||||
\(921\) | −2.95792 | + | 13.9979i | −0.0974667 | + | 0.461245i | ||||
\(922\) | −13.9116 | − | 12.8497i | −0.458156 | − | 0.423184i | ||||
\(923\) | −3.51489 | + | 1.27932i | −0.115694 | + | 0.0421092i | ||||
\(924\) | −14.7666 | − | 35.4519i | −0.485784 | − | 1.16628i | ||||
\(925\) | −2.23412 | − | 12.6703i | −0.0734575 | − | 0.416598i | ||||
\(926\) | 20.4673 | + | 0.975123i | 0.672598 | + | 0.0320445i | ||||
\(927\) | 26.7280 | + | 17.9358i | 0.877864 | + | 0.589090i | ||||
\(928\) | 35.9050 | + | 8.71180i | 1.17864 | + | 0.285979i | ||||
\(929\) | 18.9806 | − | 52.1487i | 0.622733 | − | 1.71094i | −0.0774640 | − | 0.996995i | \(-0.524682\pi\) |
0.700197 | − | 0.713950i | \(-0.253095\pi\) | |||||||
\(930\) | −3.54487 | + | 2.51368i | −0.116241 | + | 0.0824267i | ||||
\(931\) | −17.1456 | + | 20.4333i | −0.561924 | + | 0.669675i | ||||
\(932\) | 35.3371 | + | 9.77020i | 1.15751 | + | 0.320034i | ||||
\(933\) | −15.0292 | + | 37.3264i | −0.492032 | + | 1.22201i | ||||
\(934\) | −32.7113 | − | 42.9828i | −1.07035 | − | 1.40644i | ||||
\(935\) | 5.42011 | − | 9.38791i | 0.177257 | − | 0.307017i | ||||
\(936\) | 16.1709 | − | 5.23972i | 0.528563 | − | 0.171266i | ||||
\(937\) | 18.9064 | + | 32.7469i | 0.617646 | + | 1.06979i | 0.989914 | + | 0.141669i | \(0.0452467\pi\) |
−0.372269 | + | 0.928125i | \(0.621420\pi\) | |||||||
\(938\) | 1.69619 | − | 4.04939i | 0.0553827 | − | 0.132217i | ||||
\(939\) | −0.760038 | + | 22.5340i | −0.0248029 | + | 0.735369i | ||||
\(940\) | −11.9470 | + | 11.7586i | −0.389668 | + | 0.383523i | ||||
\(941\) | 0.275896 | + | 0.0486479i | 0.00899395 | + | 0.00158588i | 0.178143 | − | 0.984005i | \(-0.442991\pi\) |
−0.169149 | + | 0.985590i | \(0.554102\pi\) | |||||||
\(942\) | −13.6561 | − | 13.4947i | −0.444938 | − | 0.439680i | ||||
\(943\) | −12.9348 | − | 15.4151i | −0.421214 | − | 0.501984i | ||||
\(944\) | −21.4432 | + | 24.7454i | −0.697917 | + | 0.805393i | ||||
\(945\) | 6.07024 | − | 59.8091i | 0.197465 | − | 1.94559i | ||||
\(946\) | 1.09871 | − | 1.70960i | 0.0357222 | − | 0.0555840i | ||||
\(947\) | 2.57807 | − | 2.16325i | 0.0837759 | − | 0.0702963i | −0.599938 | − | 0.800047i | \(-0.704808\pi\) |
0.683714 | + | 0.729750i | \(0.260364\pi\) | |||||||
\(948\) | −14.0924 | + | 45.0044i | −0.457701 | + | 1.46168i | ||||
\(949\) | 0.361316 | − | 2.04913i | 0.0117288 | − | 0.0665175i | ||||
\(950\) | 0.645084 | − | 2.85603i | 0.0209293 | − | 0.0926619i | ||||
\(951\) | −4.88619 | − | 9.16324i | −0.158446 | − | 0.297139i | ||||
\(952\) | −24.2783 | + | 0.770175i | −0.786863 | + | 0.0249615i | ||||
\(953\) | −43.7288 | + | 25.2468i | −1.41651 | + | 0.817825i | −0.995991 | − | 0.0894568i | \(-0.971487\pi\) |
−0.420523 | + | 0.907282i | \(0.638154\pi\) | |||||||
\(954\) | 15.0559 | + | 15.9163i | 0.487453 | + | 0.515309i | ||||
\(955\) | −20.2229 | − | 11.6757i | −0.654397 | − | 0.377816i | ||||
\(956\) | 3.29025 | + | 41.3941i | 0.106414 | + | 1.33878i | ||||
\(957\) | −21.1590 | + | 16.5718i | −0.683973 | + | 0.535691i | ||||
\(958\) | −12.6114 | − | 40.5595i | −0.407455 | − | 1.31042i | ||||
\(959\) | −23.2813 | − | 19.5353i | −0.751791 | − | 0.630828i | ||||
\(960\) | 4.95792 | − | 33.9944i | 0.160016 | − | 1.09716i | ||||
\(961\) | −28.6493 | − | 10.4275i | −0.924171 | − | 0.336371i | ||||
\(962\) | 28.2495 | − | 14.5634i | 0.910801 | − | 0.469543i | ||||
\(963\) | 30.8356 | − | 22.5158i | 0.993663 | − | 0.725561i | ||||
\(964\) | 16.3725 | − | 22.9913i | 0.527324 | − | 0.740501i | ||||
\(965\) | 13.5444 | − | 2.38824i | 0.436008 | − | 0.0768800i | ||||
\(966\) | −29.5167 | + | 13.9780i | −0.949683 | + | 0.449736i | ||||
\(967\) | −9.74534 | − | 26.7751i | −0.313389 | − | 0.861029i | −0.991967 | − | 0.126500i | \(-0.959625\pi\) |
0.678578 | − | 0.734529i | \(-0.262597\pi\) | |||||||
\(968\) | −14.3918 | − | 4.72706i | −0.462570 | − | 0.151933i | ||||
\(969\) | −1.78476 | − | 5.47075i | −0.0573347 | − | 0.175746i | ||||
\(970\) | 6.90160 | + | 54.0827i | 0.221597 | + | 1.73649i | ||||
\(971\) | 47.1658 | 1.51362 | 0.756811 | − | 0.653633i | \(-0.226756\pi\) | ||||
0.756811 | + | 0.653633i | \(0.226756\pi\) | |||||||
\(972\) | 30.1306 | − | 8.00914i | 0.966440 | − | 0.256893i | ||||
\(973\) | 17.8829 | 0.573300 | ||||||||
\(974\) | −2.67587 | − | 20.9688i | −0.0857403 | − | 0.671883i | ||||
\(975\) | 1.23421 | + | 3.78318i | 0.0395265 | + | 0.121159i | ||||
\(976\) | 14.7287 | + | 18.1306i | 0.471454 | + | 0.580345i | ||||
\(977\) | −9.95994 | − | 27.3647i | −0.318647 | − | 0.875475i | −0.990833 | − | 0.135093i | \(-0.956867\pi\) |
0.672186 | − | 0.740382i | \(-0.265355\pi\) | |||||||
\(978\) | −27.8590 | + | 13.1930i | −0.890834 | + | 0.421867i | ||||
\(979\) | −24.6828 | + | 4.35224i | −0.788864 | + | 0.139098i | ||||
\(980\) | −59.6798 | − | 42.4990i | −1.90640 | − | 1.35758i | ||||
\(981\) | 7.62881 | − | 5.57046i | 0.243569 | − | 0.177851i | ||||
\(982\) | 9.93723 | − | 5.12291i | 0.317110 | − | 0.163479i | ||||
\(983\) | −17.1941 | − | 6.25816i | −0.548408 | − | 0.199604i | 0.0529309 | − | 0.998598i | \(-0.483144\pi\) |
−0.601339 | + | 0.798994i | \(0.705366\pi\) | |||||||
\(984\) | 34.5026 | + | 0.0691278i | 1.09990 | + | 0.00220371i | ||||
\(985\) | 29.7039 | + | 24.9245i | 0.946444 | + | 0.794161i | ||||
\(986\) | 5.04724 | + | 16.2324i | 0.160737 | + | 0.516946i | ||||
\(987\) | −21.5112 | + | 16.8477i | −0.684710 | + | 0.536269i | ||||
\(988\) | 7.21027 | − | 0.573114i | 0.229389 | − | 0.0182332i | ||||
\(989\) | −1.49667 | − | 0.864102i | −0.0475913 | − | 0.0274768i | ||||
\(990\) | 17.1732 | + | 18.1545i | 0.545799 | + | 0.576989i | ||||
\(991\) | −13.9725 | + | 8.06700i | −0.443850 | + | 0.256257i | −0.705229 | − | 0.708979i | \(-0.749156\pi\) |
0.261379 | + | 0.965236i | \(0.415823\pi\) | |||||||
\(992\) | −3.62693 | + | 1.79740i | −0.115155 | + | 0.0570675i | ||||
\(993\) | −16.6214 | − | 31.1707i | −0.527464 | − | 0.989172i | ||||
\(994\) | −2.71473 | + | 12.0191i | −0.0861061 | + | 0.381224i | ||||
\(995\) | −6.94032 | + | 39.3605i | −0.220023 | + | 1.24781i | ||||
\(996\) | 9.58653 | + | 3.00187i | 0.303761 | + | 0.0951179i | ||||
\(997\) | 5.43694 | − | 4.56213i | 0.172190 | − | 0.144484i | −0.552620 | − | 0.833433i | \(-0.686372\pi\) |
0.724810 | + | 0.688949i | \(0.241928\pi\) | |||||||
\(998\) | −16.8452 | + | 26.2112i | −0.533225 | + | 0.829701i | ||||
\(999\) | 53.1672 | − | 23.8995i | 1.68214 | − | 0.756147i |
(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 | 108.2.l.a.59.16 | yes | 96 | |
3.2 | odd | 2 | 324.2.l.a.287.1 | 96 | |||
4.3 | odd | 2 | inner | 108.2.l.a.59.7 | yes | 96 | |
9.2 | odd | 6 | 972.2.l.b.539.12 | 96 | |||
9.4 | even | 3 | 972.2.l.d.215.6 | 96 | |||
9.5 | odd | 6 | 972.2.l.a.215.11 | 96 | |||
9.7 | even | 3 | 972.2.l.c.539.5 | 96 | |||
12.11 | even | 2 | 324.2.l.a.287.10 | 96 | |||
27.2 | odd | 18 | 972.2.l.c.431.16 | 96 | |||
27.7 | even | 9 | 972.2.l.a.755.12 | 96 | |||
27.11 | odd | 18 | inner | 108.2.l.a.11.7 | ✓ | 96 | |
27.16 | even | 9 | 324.2.l.a.35.10 | 96 | |||
27.20 | odd | 18 | 972.2.l.d.755.5 | 96 | |||
27.25 | even | 9 | 972.2.l.b.431.1 | 96 | |||
36.7 | odd | 6 | 972.2.l.c.539.16 | 96 | |||
36.11 | even | 6 | 972.2.l.b.539.1 | 96 | |||
36.23 | even | 6 | 972.2.l.a.215.12 | 96 | |||
36.31 | odd | 6 | 972.2.l.d.215.5 | 96 | |||
108.7 | odd | 18 | 972.2.l.a.755.11 | 96 | |||
108.11 | even | 18 | inner | 108.2.l.a.11.16 | yes | 96 | |
108.43 | odd | 18 | 324.2.l.a.35.1 | 96 | |||
108.47 | even | 18 | 972.2.l.d.755.6 | 96 | |||
108.79 | odd | 18 | 972.2.l.b.431.12 | 96 | |||
108.83 | even | 18 | 972.2.l.c.431.5 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.2.l.a.11.7 | ✓ | 96 | 27.11 | odd | 18 | inner | |
108.2.l.a.11.16 | yes | 96 | 108.11 | even | 18 | inner | |
108.2.l.a.59.7 | yes | 96 | 4.3 | odd | 2 | inner | |
108.2.l.a.59.16 | yes | 96 | 1.1 | even | 1 | trivial | |
324.2.l.a.35.1 | 96 | 108.43 | odd | 18 | |||
324.2.l.a.35.10 | 96 | 27.16 | even | 9 | |||
324.2.l.a.287.1 | 96 | 3.2 | odd | 2 | |||
324.2.l.a.287.10 | 96 | 12.11 | even | 2 | |||
972.2.l.a.215.11 | 96 | 9.5 | odd | 6 | |||
972.2.l.a.215.12 | 96 | 36.23 | even | 6 | |||
972.2.l.a.755.11 | 96 | 108.7 | odd | 18 | |||
972.2.l.a.755.12 | 96 | 27.7 | even | 9 | |||
972.2.l.b.431.1 | 96 | 27.25 | even | 9 | |||
972.2.l.b.431.12 | 96 | 108.79 | odd | 18 | |||
972.2.l.b.539.1 | 96 | 36.11 | even | 6 | |||
972.2.l.b.539.12 | 96 | 9.2 | odd | 6 | |||
972.2.l.c.431.5 | 96 | 108.83 | even | 18 | |||
972.2.l.c.431.16 | 96 | 27.2 | odd | 18 | |||
972.2.l.c.539.5 | 96 | 9.7 | even | 3 | |||
972.2.l.c.539.16 | 96 | 36.7 | odd | 6 | |||
972.2.l.d.215.5 | 96 | 36.31 | odd | 6 | |||
972.2.l.d.215.6 | 96 | 9.4 | even | 3 | |||
972.2.l.d.755.5 | 96 | 27.20 | odd | 18 | |||
972.2.l.d.755.6 | 96 | 108.47 | even | 18 |