Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(35,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 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("648.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.v (of order \(18\), degree \(6\), not 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: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 216) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 35.18 | ||
Character | \(\chi\) | \(=\) | 648.35 |
Dual form | 648.2.v.b.611.18 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.315008 | − | 1.37868i | 0.222745 | − | 0.974877i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.80154 | − | 0.868594i | −0.900770 | − | 0.434297i | ||||
\(5\) | 0.437371 | + | 0.159190i | 0.195598 | + | 0.0711919i | 0.437962 | − | 0.898994i | \(-0.355700\pi\) |
−0.242364 | + | 0.970185i | \(0.577923\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.46177 | − | 0.610403i | −1.30842 | − | 0.230711i | −0.524417 | − | 0.851462i | \(-0.675717\pi\) |
−0.784008 | + | 0.620751i | \(0.786828\pi\) | |||||||
\(8\) | −1.76502 | + | 2.21014i | −0.624028 | + | 0.781402i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.357248 | − | 0.552850i | 0.112972 | − | 0.174827i | ||||
\(11\) | −0.485871 | − | 1.33492i | −0.146496 | − | 0.402494i | 0.844642 | − | 0.535331i | \(-0.179813\pi\) |
−0.991138 | + | 0.132838i | \(0.957591\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.62110 | − | 1.93196i | −0.449614 | − | 0.535829i | 0.492860 | − | 0.870108i | \(-0.335951\pi\) |
−0.942474 | + | 0.334280i | \(0.891507\pi\) | |||||||
\(14\) | −1.93204 | + | 4.58040i | −0.516359 | + | 1.22416i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.49109 | + | 3.12961i | 0.622772 | + | 0.782403i | ||||
\(17\) | 0.667069 | − | 0.385133i | 0.161788 | − | 0.0934084i | −0.416920 | − | 0.908943i | \(-0.636890\pi\) |
0.578708 | + | 0.815535i | \(0.303557\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.66125 | + | 6.34147i | −0.839948 | + | 1.45483i | 0.0499885 | + | 0.998750i | \(0.484082\pi\) |
−0.889937 | + | 0.456084i | \(0.849252\pi\) | |||||||
\(20\) | −0.649669 | − | 0.666685i | −0.145271 | − | 0.149075i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.99349 | + | 0.249352i | −0.425013 | + | 0.0531620i | ||||
\(23\) | 1.25561 | + | 7.12090i | 0.261812 | + | 1.48481i | 0.777961 | + | 0.628312i | \(0.216254\pi\) |
−0.516149 | + | 0.856499i | \(0.672635\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.66427 | − | 3.07469i | −0.732854 | − | 0.614938i | ||||
\(26\) | −3.17422 | + | 1.62641i | −0.622516 | + | 0.318965i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 5.70632 | + | 4.10653i | 1.07839 | + | 0.776062i | ||||
\(29\) | −3.15733 | − | 2.64931i | −0.586301 | − | 0.491965i | 0.300709 | − | 0.953716i | \(-0.402777\pi\) |
−0.887010 | + | 0.461751i | \(0.847221\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.80121 | + | 1.37556i | −1.40114 | + | 0.247059i | −0.822611 | − | 0.568604i | \(-0.807484\pi\) |
−0.578528 | + | 0.815663i | \(0.696373\pi\) | |||||||
\(32\) | 5.09946 | − | 2.44857i | 0.901466 | − | 0.432850i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.320844 | − | 1.04100i | −0.0550242 | − | 0.178530i | ||||
\(35\) | −1.41691 | − | 0.818051i | −0.239501 | − | 0.138276i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.79436 | + | 1.61333i | −0.459390 | + | 0.265229i | −0.711788 | − | 0.702394i | \(-0.752114\pi\) |
0.252397 | + | 0.967624i | \(0.418781\pi\) | |||||||
\(38\) | 7.58956 | + | 7.04532i | 1.23119 | + | 1.14290i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.12380 | + | 0.685678i | −0.177688 | + | 0.108415i | ||||
\(41\) | −1.74280 | − | 2.07699i | −0.272180 | − | 0.324371i | 0.612589 | − | 0.790402i | \(-0.290128\pi\) |
−0.884769 | + | 0.466031i | \(0.845684\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.99564 | + | 0.726352i | −0.304332 | + | 0.110768i | −0.489672 | − | 0.871907i | \(-0.662883\pi\) |
0.185340 | + | 0.982674i | \(0.440661\pi\) | |||||||
\(44\) | −0.284188 | + | 2.82694i | −0.0428429 | + | 0.426177i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 10.2130 | + | 0.512058i | 1.50583 | + | 0.0754989i | ||||
\(47\) | 1.82437 | − | 10.3465i | 0.266111 | − | 1.50919i | −0.499741 | − | 0.866175i | \(-0.666572\pi\) |
0.765852 | − | 0.643017i | \(-0.222317\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.03339 | + | 1.83200i | 0.719055 | + | 0.261715i | ||||
\(50\) | −5.39330 | + | 4.08332i | −0.762728 | + | 0.577468i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.24240 | + | 4.88858i | 0.172290 | + | 0.677924i | ||||
\(53\) | 8.73592 | 1.19997 | 0.599986 | − | 0.800011i | \(-0.295173\pi\) | ||||
0.599986 | + | 0.800011i | \(0.295173\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 0.661201i | − | 0.0891564i | ||||||
\(56\) | 7.45915 | − | 6.57361i | 0.996771 | − | 0.878436i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.64715 | + | 3.51840i | −0.610201 | + | 0.461989i | ||||
\(59\) | −0.818263 | + | 2.24816i | −0.106529 | + | 0.292685i | −0.981492 | − | 0.191504i | \(-0.938663\pi\) |
0.874963 | + | 0.484190i | \(0.160886\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.02492 | + | 0.533375i | 0.387301 | + | 0.0682916i | 0.363908 | − | 0.931435i | \(-0.381442\pi\) |
0.0233926 | + | 0.999726i | \(0.492553\pi\) | |||||||
\(62\) | −0.560979 | + | 11.1887i | −0.0712444 | + | 1.42097i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.76943 | − | 7.80187i | −0.221179 | − | 0.975233i | ||||
\(65\) | −0.401476 | − | 1.10305i | −0.0497969 | − | 0.136816i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −4.04105 | + | 3.39085i | −0.493693 | + | 0.414258i | −0.855348 | − | 0.518054i | \(-0.826657\pi\) |
0.361654 | + | 0.932312i | \(0.382212\pi\) | |||||||
\(68\) | −1.53628 | + | 0.114419i | −0.186301 | + | 0.0138754i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.57417 | + | 1.69577i | −0.188149 | + | 0.202684i | ||||
\(71\) | −5.70758 | − | 9.88583i | −0.677366 | − | 1.17323i | −0.975771 | − | 0.218793i | \(-0.929788\pi\) |
0.298406 | − | 0.954439i | \(-0.403545\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.96144 | − | 5.12936i | 0.346610 | − | 0.600346i | −0.639035 | − | 0.769178i | \(-0.720666\pi\) |
0.985645 | + | 0.168832i | \(0.0539994\pi\) | |||||||
\(74\) | 1.34402 | + | 4.36075i | 0.156239 | + | 0.506927i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 12.1041 | − | 8.24427i | 1.38843 | − | 0.945683i | ||||
\(77\) | 0.867134 | + | 4.91776i | 0.0988191 | + | 0.560431i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.94667 | − | 10.6622i | 1.00658 | − | 1.19959i | 0.0267740 | − | 0.999642i | \(-0.491477\pi\) |
0.979805 | − | 0.199953i | \(-0.0640790\pi\) | |||||||
\(80\) | 0.591327 | + | 1.76536i | 0.0661123 | + | 0.197373i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −3.41251 | + | 1.74850i | −0.376848 | + | 0.193090i | ||||
\(83\) | −7.41209 | + | 8.83338i | −0.813582 | + | 0.969590i | −0.999917 | − | 0.0128968i | \(-0.995895\pi\) |
0.186335 | + | 0.982486i | \(0.440339\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.353066 | − | 0.0622550i | 0.0382954 | − | 0.00675251i | ||||
\(86\) | 0.372768 | + | 2.98016i | 0.0401966 | + | 0.321359i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.80793 | + | 1.28231i | 0.405927 | + | 0.136695i | ||||
\(89\) | −8.59338 | − | 4.96139i | −0.910896 | − | 0.525906i | −0.0301767 | − | 0.999545i | \(-0.509607\pi\) |
−0.880719 | + | 0.473639i | \(0.842940\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.43261 | + | 7.67751i | 0.464664 | + | 0.804822i | ||||
\(92\) | 3.92315 | − | 13.9192i | 0.409016 | − | 1.45118i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −13.6899 | − | 5.77446i | −1.41200 | − | 0.595590i | ||||
\(95\) | −2.61082 | + | 2.19074i | −0.267865 | + | 0.224765i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.95198 | + | 0.710462i | −0.198193 | + | 0.0721365i | −0.439210 | − | 0.898385i | \(-0.644741\pi\) |
0.241016 | + | 0.970521i | \(0.422519\pi\) | |||||||
\(98\) | 4.11131 | − | 6.36235i | 0.415305 | − | 0.642695i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.93067 | + | 8.72193i | 0.393067 | + | 0.872193i | ||||
\(101\) | 1.48081 | − | 8.39808i | 0.147346 | − | 0.835641i | −0.818108 | − | 0.575065i | \(-0.804977\pi\) |
0.965454 | − | 0.260575i | \(-0.0839123\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.93036 | − | 8.05109i | 0.288737 | − | 0.793298i | −0.707507 | − | 0.706706i | \(-0.750180\pi\) |
0.996244 | − | 0.0865915i | \(-0.0275975\pi\) | |||||||
\(104\) | 7.13117 | − | 0.172930i | 0.699269 | − | 0.0169572i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.75189 | − | 12.0441i | 0.267287 | − | 1.16982i | ||||
\(107\) | 10.8657i | 1.05042i | 0.850972 | + | 0.525211i | \(0.176014\pi\) | ||||
−0.850972 | + | 0.525211i | \(0.823986\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 8.94866i | 0.857126i | 0.903512 | + | 0.428563i | \(0.140980\pi\) | ||||
−0.903512 | + | 0.428563i | \(0.859020\pi\) | |||||||
\(110\) | −0.911588 | − | 0.208284i | −0.0869165 | − | 0.0198591i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −6.71324 | − | 12.3546i | −0.634342 | − | 1.16740i | ||||
\(113\) | 1.31870 | − | 3.62309i | 0.124053 | − | 0.340832i | −0.862084 | − | 0.506765i | \(-0.830841\pi\) |
0.986137 | + | 0.165933i | \(0.0530635\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.584410 | + | 3.31436i | −0.0544966 | + | 0.309065i | ||||
\(116\) | 3.38687 | + | 7.51528i | 0.314463 | + | 0.697776i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.84174 | + | 1.83631i | 0.261603 | + | 0.169046i | ||||
\(119\) | −2.54432 | + | 0.926058i | −0.233238 | + | 0.0848916i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.88055 | − | 5.77346i | 0.625504 | − | 0.524860i | ||||
\(122\) | 1.68823 | − | 4.00239i | 0.152845 | − | 0.362359i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 15.2490 | + | 4.29795i | 1.36940 | + | 0.385968i | ||||
\(125\) | −2.27679 | − | 3.94351i | −0.203642 | − | 0.352718i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.84084 | − | 5.68161i | −0.873233 | − | 0.504162i | −0.00481202 | − | 0.999988i | \(-0.501532\pi\) |
−0.868421 | + | 0.495827i | \(0.834865\pi\) | |||||||
\(128\) | −11.3137 | − | 0.0181658i | −0.999999 | − | 0.00160564i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.64722 | + | 0.206040i | −0.144471 | + | 0.0180709i | ||||
\(131\) | 19.4659 | − | 3.43236i | 1.70074 | − | 0.299887i | 0.762790 | − | 0.646647i | \(-0.223829\pi\) |
0.937954 | + | 0.346760i | \(0.112718\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 16.5452 | − | 19.7179i | 1.43465 | − | 1.70975i | ||||
\(134\) | 3.40194 | + | 6.63948i | 0.293883 | + | 0.573564i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.326192 | + | 2.15408i | −0.0279707 | + | 0.184711i | ||||
\(137\) | −4.33502 | + | 5.16628i | −0.370366 | + | 0.441385i | −0.918749 | − | 0.394843i | \(-0.870799\pi\) |
0.548383 | + | 0.836227i | \(0.315244\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.54700 | − | 14.4448i | −0.216034 | − | 1.22519i | −0.879103 | − | 0.476631i | \(-0.841858\pi\) |
0.663069 | − | 0.748558i | \(-0.269253\pi\) | |||||||
\(140\) | 1.84206 | + | 2.70447i | 0.155682 | + | 0.228569i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −15.4274 | + | 4.75484i | −1.29464 | + | 0.399017i | ||||
\(143\) | −1.79136 | + | 3.10273i | −0.149801 | + | 0.259463i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.959179 | − | 1.66135i | −0.0796555 | − | 0.137967i | ||||
\(146\) | −6.13889 | − | 5.69868i | −0.508058 | − | 0.471626i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.43548 | − | 0.479304i | 0.528993 | − | 0.0393985i | ||||
\(149\) | 6.53906 | − | 5.48692i | 0.535700 | − | 0.449506i | −0.334364 | − | 0.942444i | \(-0.608521\pi\) |
0.870064 | + | 0.492938i | \(0.164077\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.70566 | + | 4.68627i | 0.138805 | + | 0.381364i | 0.989545 | − | 0.144223i | \(-0.0460682\pi\) |
−0.850740 | + | 0.525586i | \(0.823846\pi\) | |||||||
\(152\) | −7.55337 | − | 19.2847i | −0.612659 | − | 1.56419i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 7.05319 | + | 0.353632i | 0.568362 | + | 0.0284965i | ||||
\(155\) | −3.63100 | − | 0.640243i | −0.291649 | − | 0.0514256i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.74744 | + | 21.2859i | −0.618313 | + | 1.69880i | 0.0927644 | + | 0.995688i | \(0.470430\pi\) |
−0.711078 | + | 0.703113i | \(0.751793\pi\) | |||||||
\(158\) | −11.8816 | − | 15.6933i | −0.945247 | − | 1.24849i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.62014 | − | 0.259150i | 0.207141 | − | 0.0204876i | ||||
\(161\) | − | 25.4173i | − | 2.00317i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −24.9254 | −1.95231 | −0.976156 | − | 0.217071i | \(-0.930350\pi\) | ||||
−0.976156 | + | 0.217071i | \(0.930350\pi\) | |||||||
\(164\) | 1.33566 | + | 5.25556i | 0.104298 | + | 0.410390i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 9.84357 | + | 13.0015i | 0.764009 | + | 1.00911i | ||||
\(167\) | −0.989406 | − | 0.360114i | −0.0765625 | − | 0.0278665i | 0.303455 | − | 0.952846i | \(-0.401860\pi\) |
−0.380017 | + | 0.924979i | \(0.624082\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.15295 | − | 6.53869i | 0.0886883 | − | 0.502976i | ||||
\(170\) | 0.0253887 | − | 0.506377i | 0.00194722 | − | 0.0388374i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.22612 | + | 0.424846i | 0.322239 | + | 0.0323942i | ||||
\(173\) | −3.27836 | + | 1.19323i | −0.249249 | + | 0.0907192i | −0.463623 | − | 0.886032i | \(-0.653451\pi\) |
0.214374 | + | 0.976752i | \(0.431229\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 10.8080 | + | 12.8805i | 0.817012 | + | 0.973677i | ||||
\(176\) | 2.96744 | − | 4.84599i | 0.223679 | − | 0.365281i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −9.54717 | + | 10.2847i | −0.715591 | + | 0.770869i | ||||
\(179\) | −11.9338 | + | 6.89000i | −0.891976 | + | 0.514983i | −0.874588 | − | 0.484866i | \(-0.838868\pi\) |
−0.0173878 | + | 0.999849i | \(0.505535\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.04781 | − | 1.18231i | −0.152213 | − | 0.0878801i | 0.421959 | − | 0.906615i | \(-0.361343\pi\) |
−0.574172 | + | 0.818735i | \(0.694676\pi\) | |||||||
\(182\) | 11.9812 | − | 3.69269i | 0.888104 | − | 0.273721i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −17.9544 | − | 9.79345i | −1.32361 | − | 0.721982i | ||||
\(185\) | −1.47900 | + | 0.260787i | −0.108738 | + | 0.0191735i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.838231 | − | 0.703359i | −0.0612975 | − | 0.0514347i | ||||
\(188\) | −12.2736 | + | 17.0550i | −0.895142 | + | 1.24386i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2.19791 | + | 4.28960i | 0.159453 | + | 0.311200i | ||||
\(191\) | −8.27044 | − | 6.93973i | −0.598428 | − | 0.502141i | 0.292512 | − | 0.956262i | \(-0.405509\pi\) |
−0.890940 | + | 0.454121i | \(0.849953\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.57316 | + | 20.2644i | 0.257201 | + | 1.45866i | 0.790358 | + | 0.612645i | \(0.209894\pi\) |
−0.533157 | + | 0.846016i | \(0.678994\pi\) | |||||||
\(194\) | 0.364613 | + | 2.91496i | 0.0261777 | + | 0.209282i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −7.47658 | − | 7.67240i | −0.534041 | − | 0.548028i | ||||
\(197\) | 1.27921 | − | 2.21565i | 0.0911396 | − | 0.157858i | −0.816851 | − | 0.576848i | \(-0.804282\pi\) |
0.907991 | + | 0.418990i | \(0.137616\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −18.0736 | + | 10.4348i | −1.28121 | + | 0.739704i | −0.977069 | − | 0.212924i | \(-0.931701\pi\) |
−0.304136 | + | 0.952628i | \(0.598368\pi\) | |||||||
\(200\) | 13.2630 | − | 2.67167i | 0.937835 | − | 0.188916i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −11.1118 | − | 4.68703i | −0.781826 | − | 0.329779i | ||||
\(203\) | 9.31278 | + | 11.0985i | 0.653629 | + | 0.778965i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.431614 | − | 1.18585i | −0.0301453 | − | 0.0828234i | ||||
\(206\) | −10.1768 | − | 6.57620i | −0.709053 | − | 0.458185i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.00796 | − | 9.88611i | 0.139227 | − | 0.685478i | ||||
\(209\) | 10.2443 | + | 1.80634i | 0.708610 | + | 0.124947i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.0141986 | + | 0.00516787i | 0.000977473 | + | 0.000355771i | 0.342509 | − | 0.939515i | \(-0.388723\pi\) |
−0.341531 | + | 0.939870i | \(0.610946\pi\) | |||||||
\(212\) | −15.7381 | − | 7.58797i | −1.08090 | − | 0.521144i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 14.9803 | + | 3.42277i | 1.02403 | + | 0.233976i | ||||
\(215\) | −0.988461 | −0.0674125 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 27.8456 | 1.89028 | ||||||||
\(218\) | 12.3374 | + | 2.81890i | 0.835592 | + | 0.190920i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.574315 | + | 1.19118i | −0.0387203 | + | 0.0803093i | ||||
\(221\) | −1.82545 | − | 0.664409i | −0.122793 | − | 0.0446930i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.68574 | + | 0.473569i | 0.179851 | + | 0.0317125i | 0.262848 | − | 0.964837i | \(-0.415338\pi\) |
−0.0829974 | + | 0.996550i | \(0.526449\pi\) | |||||||
\(224\) | −19.1478 | + | 5.36365i | −1.27936 | + | 0.358374i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.57970 | − | 2.95937i | −0.304637 | − | 0.196855i | ||||
\(227\) | −0.693824 | − | 1.90627i | −0.0460507 | − | 0.126523i | 0.914535 | − | 0.404506i | \(-0.132556\pi\) |
−0.960586 | + | 0.277983i | \(0.910334\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.00131 | + | 4.76857i | 0.264414 | + | 0.315116i | 0.881873 | − | 0.471487i | \(-0.156282\pi\) |
−0.617459 | + | 0.786603i | \(0.711838\pi\) | |||||||
\(230\) | 4.38536 | + | 1.84977i | 0.289162 | + | 0.121970i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 11.4281 | − | 2.30205i | 0.750291 | − | 0.151137i | ||||
\(233\) | 21.4888 | − | 12.4066i | 1.40778 | − | 0.812783i | 0.412607 | − | 0.910909i | \(-0.364618\pi\) |
0.995174 | + | 0.0981264i | \(0.0312850\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.44498 | − | 4.23484i | 0.159493 | − | 0.276250i | ||||
\(236\) | 3.42687 | − | 3.33941i | 0.223070 | − | 0.217377i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.475258 | + | 3.79953i | 0.0308064 | + | 0.246287i | ||||
\(239\) | 4.43265 | + | 25.1388i | 0.286725 | + | 1.62610i | 0.699059 | + | 0.715064i | \(0.253602\pi\) |
−0.412335 | + | 0.911032i | \(0.635287\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.6387 | − | 10.6052i | −0.814133 | − | 0.683139i | 0.137458 | − | 0.990508i | \(-0.456107\pi\) |
−0.951590 | + | 0.307369i | \(0.900551\pi\) | |||||||
\(242\) | −5.79235 | − | 11.3048i | −0.372347 | − | 0.726699i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −4.98622 | − | 3.58832i | −0.319210 | − | 0.229719i | ||||
\(245\) | 1.90982 | + | 1.60253i | 0.122014 | + | 0.102382i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 18.1867 | − | 3.20681i | 1.15719 | − | 0.204044i | ||||
\(248\) | 10.7291 | − | 19.6697i | 0.681297 | − | 1.24902i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −6.15406 | + | 1.89673i | −0.389217 | + | 0.119960i | ||||
\(251\) | 3.82463 | + | 2.20815i | 0.241408 | + | 0.139377i | 0.615824 | − | 0.787884i | \(-0.288823\pi\) |
−0.374416 | + | 0.927261i | \(0.622157\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.89578 | − | 5.13598i | 0.559273 | − | 0.322896i | ||||
\(254\) | −10.9331 | + | 11.7777i | −0.686003 | + | 0.738996i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −3.58895 | + | 15.5923i | −0.224310 | + | 0.974518i | ||||
\(257\) | −12.1155 | − | 14.4386i | −0.755741 | − | 0.900657i | 0.241830 | − | 0.970319i | \(-0.422253\pi\) |
−0.997571 | + | 0.0696615i | \(0.977808\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 10.6582 | − | 3.87927i | 0.662269 | − | 0.241046i | ||||
\(260\) | −0.234824 | + | 2.33590i | −0.0145632 | + | 0.144866i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 1.39978 | − | 27.9185i | 0.0864785 | − | 1.72481i | ||||
\(263\) | −3.00966 | + | 17.0686i | −0.185583 | + | 1.05250i | 0.739620 | + | 0.673024i | \(0.235005\pi\) |
−0.925204 | + | 0.379471i | \(0.876106\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.82084 | + | 1.39067i | 0.234712 | + | 0.0854283i | ||||
\(266\) | −21.9728 | − | 29.0220i | −1.34724 | − | 1.77945i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 10.2254 | − | 2.59871i | 0.624615 | − | 0.158741i | ||||
\(269\) | 10.9959 | 0.670431 | 0.335215 | − | 0.942142i | \(-0.391191\pi\) | ||||
0.335215 | + | 0.942142i | \(0.391191\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 19.7167i | − | 1.19770i | −0.800861 | − | 0.598851i | \(-0.795624\pi\) | ||
0.800861 | − | 0.598851i | \(-0.204376\pi\) | |||||||
\(272\) | 2.86704 | + | 1.12827i | 0.173840 | + | 0.0684113i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5.75709 | + | 7.60404i | 0.347799 | + | 0.459377i | ||||
\(275\) | −2.32410 | + | 6.38541i | −0.140148 | + | 0.385055i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −18.3745 | − | 3.23992i | −1.10402 | − | 0.194668i | −0.408203 | − | 0.912891i | \(-0.633845\pi\) |
−0.695813 | + | 0.718223i | \(0.744956\pi\) | |||||||
\(278\) | −20.7171 | − | 1.03871i | −1.24253 | − | 0.0622978i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 4.30887 | − | 1.68769i | 0.257504 | − | 0.100859i | ||||
\(281\) | 8.37613 | + | 23.0132i | 0.499678 | + | 1.37285i | 0.891587 | + | 0.452850i | \(0.149593\pi\) |
−0.391909 | + | 0.920004i | \(0.628185\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 13.4469 | − | 11.2833i | 0.799338 | − | 0.670724i | −0.148700 | − | 0.988882i | \(-0.547509\pi\) |
0.948038 | + | 0.318159i | \(0.103064\pi\) | |||||||
\(284\) | 1.69567 | + | 22.7673i | 0.100619 | + | 1.35099i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.71339 | + | 3.44711i | 0.219577 | + | 0.203832i | ||||
\(287\) | 4.76537 | + | 8.25386i | 0.281291 | + | 0.487210i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.20335 | + | 14.2086i | −0.482550 | + | 0.835801i | ||||
\(290\) | −2.59262 | + | 0.799067i | −0.152244 | + | 0.0469228i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −9.79048 | + | 6.66846i | −0.572944 | + | 0.390242i | ||||
\(293\) | 4.42079 | + | 25.0715i | 0.258265 | + | 1.46470i | 0.787550 | + | 0.616251i | \(0.211349\pi\) |
−0.529285 | + | 0.848444i | \(0.677540\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.715769 | + | 0.853020i | −0.0416737 | + | 0.0496647i | ||||
\(296\) | 1.36642 | − | 9.02348i | 0.0794217 | − | 0.524479i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.50487 | − | 10.7437i | −0.318889 | − | 0.622367i | ||||
\(299\) | 11.7218 | − | 13.9695i | 0.677890 | − | 0.807878i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 7.35179 | − | 1.29632i | 0.423750 | − | 0.0747186i | ||||
\(302\) | 6.99819 | − | 0.875357i | 0.402701 | − | 0.0503711i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −28.9669 | + | 4.33887i | −1.66136 | + | 0.248851i | ||||
\(305\) | 1.23810 | + | 0.714819i | 0.0708936 | + | 0.0409304i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 13.7038 | + | 23.7357i | 0.782117 | + | 1.35467i | 0.930706 | + | 0.365768i | \(0.119194\pi\) |
−0.148589 | + | 0.988899i | \(0.547473\pi\) | |||||||
\(308\) | 2.70936 | − | 9.61273i | 0.154380 | − | 0.547736i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2.02649 | + | 4.80432i | −0.115097 | + | 0.272867i | ||||
\(311\) | 11.9153 | − | 9.99813i | 0.675655 | − | 0.566942i | −0.239078 | − | 0.971000i | \(-0.576845\pi\) |
0.914733 | + | 0.404058i | \(0.132401\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −9.57684 | + | 3.48568i | −0.541315 | + | 0.197022i | −0.598183 | − | 0.801359i | \(-0.704111\pi\) |
0.0568687 | + | 0.998382i | \(0.481888\pi\) | |||||||
\(314\) | 26.9061 | + | 17.3865i | 1.51840 | + | 0.981178i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −25.3789 | + | 11.4374i | −1.42768 | + | 0.643404i | ||||
\(317\) | −5.74143 | + | 32.5613i | −0.322471 | + | 1.82882i | 0.204410 | + | 0.978885i | \(0.434472\pi\) |
−0.526881 | + | 0.849939i | \(0.676639\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.00257 | + | 5.50201i | −0.112122 | + | 0.308053i | ||||
\(320\) | 0.468081 | − | 3.69399i | 0.0261665 | − | 0.206500i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −35.0425 | − | 8.00667i | −1.95284 | − | 0.446194i | ||||
\(323\) | 5.64027i | 0.313833i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 12.0636i | 0.669168i | ||||||||
\(326\) | −7.85172 | + | 34.3643i | −0.434867 | + | 1.90326i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 7.66651 | − | 0.185912i | 0.423312 | − | 0.0102653i | ||||
\(329\) | −12.6311 | + | 34.7035i | −0.696373 | + | 1.91327i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.92984 | − | 10.9447i | 0.106074 | − | 0.601574i | −0.884712 | − | 0.466138i | \(-0.845645\pi\) |
0.990786 | − | 0.135437i | \(-0.0432437\pi\) | |||||||
\(332\) | 21.0258 | − | 9.47559i | 1.15394 | − | 0.520041i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.808155 | + | 1.25064i | −0.0442203 | + | 0.0684319i | ||||
\(335\) | −2.30723 | + | 0.839763i | −0.126057 | + | 0.0458811i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.91071 | − | 4.12058i | 0.267504 | − | 0.224462i | −0.499162 | − | 0.866509i | \(-0.666359\pi\) |
0.766666 | + | 0.642046i | \(0.221914\pi\) | |||||||
\(338\) | −8.65160 | − | 3.64929i | −0.470585 | − | 0.198495i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.690137 | − | 0.194516i | −0.0374279 | − | 0.0105491i | ||||
\(341\) | 5.62665 | + | 9.74565i | 0.304700 | + | 0.527756i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 5.00343 | + | 2.88873i | 0.270160 | + | 0.155977i | ||||
\(344\) | 1.91699 | − | 5.69266i | 0.103357 | − | 0.306928i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.612370 | + | 4.89570i | 0.0329212 | + | 0.263194i | ||||
\(347\) | 31.8049 | − | 5.60806i | 1.70738 | − | 0.301056i | 0.767115 | − | 0.641510i | \(-0.221692\pi\) |
0.940261 | + | 0.340453i | \(0.110581\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.166560 | + | 0.198498i | −0.00891573 | + | 0.0106254i | −0.770484 | − | 0.637459i | \(-0.779985\pi\) |
0.761568 | + | 0.648085i | \(0.224430\pi\) | |||||||
\(350\) | 21.1628 | − | 10.8434i | 1.13120 | − | 0.579605i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.74633 | − | 5.61768i | −0.306280 | − | 0.299424i | ||||
\(353\) | 5.28492 | − | 6.29832i | 0.281288 | − | 0.335226i | −0.606839 | − | 0.794825i | \(-0.707563\pi\) |
0.888126 | + | 0.459599i | \(0.152007\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.922607 | − | 5.23236i | −0.0489669 | − | 0.277705i | ||||
\(356\) | 11.1719 | + | 16.4023i | 0.592108 | + | 0.869320i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 5.73988 | + | 18.6234i | 0.303362 | + | 0.984276i | ||||
\(359\) | −0.180226 | + | 0.312161i | −0.00951198 | + | 0.0164752i | −0.870742 | − | 0.491740i | \(-0.836361\pi\) |
0.861230 | + | 0.508215i | \(0.169694\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.3095 | − | 29.9810i | −0.911027 | − | 1.57794i | ||||
\(362\) | −2.27510 | + | 2.45085i | −0.119577 | + | 0.128814i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.31689 | − | 17.6815i | −0.0690236 | − | 0.926761i | ||||
\(365\) | 2.11179 | − | 1.77200i | 0.110536 | − | 0.0927508i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.6705 | + | 29.3168i | 0.556993 | + | 1.53033i | 0.823975 | + | 0.566626i | \(0.191751\pi\) |
−0.266982 | + | 0.963702i | \(0.586026\pi\) | |||||||
\(368\) | −19.1578 | + | 21.6684i | −0.998671 | + | 1.12954i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.106354 | + | 2.12122i | −0.00552906 | + | 0.110277i | ||||
\(371\) | −30.2417 | − | 5.33243i | −1.57007 | − | 0.276846i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.92591 | + | 8.03888i | −0.151498 | + | 0.416237i | −0.992105 | − | 0.125408i | \(-0.959976\pi\) |
0.840607 | + | 0.541645i | \(0.182198\pi\) | |||||||
\(374\) | −1.23376 | + | 0.934092i | −0.0637962 | + | 0.0483007i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 19.6472 | + | 22.2938i | 1.01322 | + | 1.14972i | ||||
\(377\) | 10.3946i | 0.535351i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −11.8737 | −0.609912 | −0.304956 | − | 0.952366i | \(-0.598642\pi\) | ||||
−0.304956 | + | 0.952366i | \(0.598642\pi\) | |||||||
\(380\) | 6.60637 | − | 1.67896i | 0.338899 | − | 0.0861289i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −12.1729 | + | 9.21626i | −0.622822 | + | 0.471545i | ||||
\(383\) | −21.6357 | − | 7.87475i | −1.10553 | − | 0.402381i | −0.276179 | − | 0.961106i | \(-0.589068\pi\) |
−0.829353 | + | 0.558725i | \(0.811291\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.403599 | + | 2.28892i | −0.0205693 | + | 0.116654i | ||||
\(386\) | 29.0637 | + | 1.45719i | 1.47931 | + | 0.0741692i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4.13367 | + | 0.415551i | 0.209855 | + | 0.0210964i | ||||
\(389\) | −17.2027 | + | 6.26126i | −0.872210 | + | 0.317458i | −0.739062 | − | 0.673638i | \(-0.764731\pi\) |
−0.133148 | + | 0.991096i | \(0.542509\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.58007 | + | 4.26656i | 0.181052 | + | 0.215769i | ||||
\(392\) | −12.9330 | + | 7.89097i | −0.653215 | + | 0.398554i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.65172 | − | 2.46157i | −0.133592 | − | 0.124012i | ||||
\(395\) | 5.61034 | − | 3.23913i | 0.282287 | − | 0.162978i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.79128 | − | 3.34360i | −0.290656 | − | 0.167810i | 0.347582 | − | 0.937650i | \(-0.387003\pi\) |
−0.638238 | + | 0.769839i | \(0.720336\pi\) | |||||||
\(398\) | 8.69296 | + | 28.2049i | 0.435739 | + | 1.41378i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.494560 | − | 19.1271i | 0.0247280 | − | 0.956353i | ||||
\(401\) | 7.86143 | − | 1.38618i | 0.392581 | − | 0.0692226i | 0.0261266 | − | 0.999659i | \(-0.491683\pi\) |
0.366454 | + | 0.930436i | \(0.380572\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 15.3041 | + | 12.8417i | 0.762352 | + | 0.639689i | ||||
\(404\) | −9.96226 | + | 13.8433i | −0.495641 | + | 0.688728i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 18.2350 | − | 9.34325i | 0.904987 | − | 0.463698i | ||||
\(407\) | 3.51136 | + | 2.94638i | 0.174052 | + | 0.146047i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.04527 | − | 5.92801i | −0.0516852 | − | 0.293121i | 0.947998 | − | 0.318275i | \(-0.103104\pi\) |
−0.999684 | + | 0.0251538i | \(0.991992\pi\) | |||||||
\(410\) | −1.77088 | + | 0.221507i | −0.0874573 | + | 0.0109394i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −12.2723 | + | 11.9591i | −0.604612 | + | 0.589181i | ||||
\(413\) | 4.20492 | − | 7.28313i | 0.206910 | − | 0.358379i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.64802 | + | 2.68353i | −0.228162 | + | 0.131729i | ||||
\(416\) | −12.9973 | − | 5.88255i | −0.637245 | − | 0.288416i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 5.71740 | − | 13.5546i | 0.279647 | − | 0.662976i | ||||
\(419\) | −17.2811 | − | 20.5948i | −0.844237 | − | 1.00612i | −0.999833 | − | 0.0183011i | \(-0.994174\pi\) |
0.155596 | − | 0.987821i | \(-0.450270\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.51235 | + | 17.8925i | 0.317392 | + | 0.872029i | 0.991111 | + | 0.133040i | \(0.0424739\pi\) |
−0.673718 | + | 0.738988i | \(0.735304\pi\) | |||||||
\(422\) | 0.0115975 | − | 0.0179475i | 0.000564560 | − | 0.000873670i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −15.4191 | + | 19.3076i | −0.748815 | + | 0.937660i | ||||
\(425\) | −3.62848 | − | 0.639800i | −0.176007 | − | 0.0310348i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −10.1460 | − | 3.69284i | −0.490999 | − | 0.178709i | ||||
\(428\) | 9.43785 | − | 19.5749i | 0.456195 | − | 0.946189i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.311374 | + | 1.36278i | −0.0150158 | + | 0.0657189i | ||||
\(431\) | 19.2221 | 0.925894 | 0.462947 | − | 0.886386i | \(-0.346792\pi\) | ||||
0.462947 | + | 0.886386i | \(0.346792\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 13.6658 | 0.656735 | 0.328367 | − | 0.944550i | \(-0.393502\pi\) | ||||
0.328367 | + | 0.944550i | \(0.393502\pi\) | |||||||
\(434\) | 8.77160 | − | 38.3903i | 0.421050 | − | 1.84279i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 7.77275 | − | 16.1214i | 0.372247 | − | 0.772073i | ||||
\(437\) | −49.7541 | − | 18.1090i | −2.38006 | − | 0.866271i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −24.1314 | − | 4.25502i | −1.15173 | − | 0.203081i | −0.434999 | − | 0.900431i | \(-0.643251\pi\) |
−0.716731 | + | 0.697350i | \(0.754362\pi\) | |||||||
\(440\) | 1.46135 | + | 1.16703i | 0.0696670 | + | 0.0556360i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.49104 | + | 2.30742i | −0.0709216 | + | 0.109753i | ||||
\(443\) | −4.71302 | − | 12.9489i | −0.223922 | − | 0.615222i | 0.775956 | − | 0.630786i | \(-0.217268\pi\) |
−0.999879 | + | 0.0155648i | \(0.995045\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.96869 | − | 3.53795i | −0.140729 | − | 0.167715i | ||||
\(446\) | 1.49893 | − | 3.55361i | 0.0709765 | − | 0.168268i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.36308 | + | 28.0883i | 0.0643994 | + | 1.32705i | ||||
\(449\) | −15.6709 | + | 9.04759i | −0.739555 | + | 0.426982i | −0.821907 | − | 0.569621i | \(-0.807090\pi\) |
0.0823526 | + | 0.996603i | \(0.473757\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.92584 | + | 3.33565i | −0.0906842 | + | 0.157070i | ||||
\(452\) | −5.52268 | + | 5.38173i | −0.259765 | + | 0.253135i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.84670 | + | 0.356074i | −0.133602 | + | 0.0167114i | ||||
\(455\) | 0.716513 | + | 4.06355i | 0.0335907 | + | 0.190502i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.09369 | − | 4.27411i | −0.238273 | − | 0.199935i | 0.515830 | − | 0.856691i | \(-0.327484\pi\) |
−0.754103 | + | 0.656756i | \(0.771928\pi\) | |||||||
\(458\) | 7.83480 | − | 4.01440i | 0.366096 | − | 0.187581i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.93167 | − | 5.46333i | 0.183315 | − | 0.254729i | ||||
\(461\) | −17.2916 | − | 14.5094i | −0.805352 | − | 0.675771i | 0.144141 | − | 0.989557i | \(-0.453958\pi\) |
−0.949494 | + | 0.313786i | \(0.898402\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 9.30336 | − | 1.64043i | 0.432364 | − | 0.0762374i | 0.0467691 | − | 0.998906i | \(-0.485107\pi\) |
0.385594 | + | 0.922668i | \(0.373996\pi\) | |||||||
\(464\) | 0.426139 | − | 16.4809i | 0.0197830 | − | 0.765106i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −10.3356 | − | 33.5345i | −0.478788 | − | 1.55346i | ||||
\(467\) | −6.76157 | − | 3.90380i | −0.312888 | − | 0.180646i | 0.335330 | − | 0.942101i | \(-0.391152\pi\) |
−0.648218 | + | 0.761455i | \(0.724486\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 16.0590 | − | 9.27165i | 0.741534 | − | 0.428125i | ||||
\(470\) | −5.06831 | − | 4.70487i | −0.233784 | − | 0.217019i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.52450 | − | 5.77651i | −0.162228 | − | 0.265886i | ||||
\(473\) | 1.93924 | + | 2.31110i | 0.0891666 | + | 0.106265i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 32.9139 | − | 11.9797i | 1.51019 | − | 0.549665i | ||||
\(476\) | 5.38807 | + | 0.541654i | 0.246962 | + | 0.0248267i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 36.0548 | + | 1.80771i | 1.64911 | + | 0.0826829i | ||||
\(479\) | 4.13778 | − | 23.4665i | 0.189060 | − | 1.07221i | −0.731567 | − | 0.681770i | \(-0.761211\pi\) |
0.920627 | − | 0.390444i | \(-0.127678\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 7.64683 | + | 2.78322i | 0.348666 | + | 0.126904i | ||||
\(482\) | −18.6025 | + | 14.0841i | −0.847320 | + | 0.641514i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −17.4104 | + | 4.42472i | −0.791381 | + | 0.201124i | ||||
\(485\) | −0.966837 | −0.0439018 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 5.00210i | − | 0.226667i | −0.993557 | − | 0.113333i | \(-0.963847\pi\) | ||
0.993557 | − | 0.113333i | \(-0.0361528\pi\) | |||||||
\(488\) | −6.51786 | + | 5.74407i | −0.295050 | + | 0.260022i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2.81099 | − | 2.12823i | 0.126988 | − | 0.0961436i | ||||
\(491\) | 10.7540 | − | 29.5462i | 0.485319 | − | 1.33340i | −0.419557 | − | 0.907729i | \(-0.637815\pi\) |
0.904876 | − | 0.425674i | \(-0.139963\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.12649 | − | 0.551285i | −0.140810 | − | 0.0248286i | ||||
\(494\) | 1.30779 | − | 26.0839i | 0.0588404 | − | 1.17357i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −23.7385 | − | 20.9881i | −1.06589 | − | 0.942394i | ||||
\(497\) | 13.7240 | + | 37.7063i | 0.615605 | + | 1.69136i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 9.47652 | − | 7.95175i | 0.424227 | − | 0.355969i | −0.405541 | − | 0.914077i | \(-0.632917\pi\) |
0.829769 | + | 0.558108i | \(0.188472\pi\) | |||||||
\(500\) | 0.676412 | + | 9.08199i | 0.0302500 | + | 0.406159i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 4.24913 | − | 4.57737i | 0.189648 | − | 0.204298i | ||||
\(503\) | 0.0403972 | + | 0.0699700i | 0.00180122 | + | 0.00311981i | 0.866925 | − | 0.498439i | \(-0.166093\pi\) |
−0.865123 | + | 0.501559i | \(0.832760\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.98455 | − | 3.43735i | 0.0883115 | − | 0.152960i | ||||
\(506\) | −4.27865 | − | 13.8823i | −0.190209 | − | 0.617145i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 12.7936 | + | 18.7833i | 0.567626 | + | 0.833376i | ||||
\(509\) | −7.45238 | − | 42.2646i | −0.330321 | − | 1.87334i | −0.469286 | − | 0.883046i | \(-0.655489\pi\) |
0.138964 | − | 0.990297i | \(-0.455623\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −13.3828 | + | 15.9490i | −0.592019 | + | 0.705541i | ||||
\(512\) | 20.3663 | + | 9.85973i | 0.900071 | + | 0.435743i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −23.7228 | + | 12.1551i | −1.04637 | + | 0.536138i | ||||
\(515\) | 2.56331 | − | 3.05483i | 0.112953 | − | 0.134612i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −14.6982 | + | 2.59168i | −0.646424 | + | 0.113982i | ||||
\(518\) | −1.99086 | − | 15.9163i | −0.0874735 | − | 0.699322i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.14650 | + | 1.05958i | 0.137983 | + | 0.0464655i | ||||
\(521\) | 8.07399 | + | 4.66152i | 0.353728 | + | 0.204225i | 0.666326 | − | 0.745661i | \(-0.267866\pi\) |
−0.312598 | + | 0.949886i | \(0.601199\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −2.56968 | − | 4.45082i | −0.112364 | − | 0.194621i | 0.804359 | − | 0.594144i | \(-0.202509\pi\) |
−0.916723 | + | 0.399523i | \(0.869176\pi\) | |||||||
\(524\) | −38.0499 | − | 10.7244i | −1.66222 | − | 0.468499i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 22.5841 | + | 9.52612i | 0.984716 | + | 0.415359i | ||||
\(527\) | −4.67417 | + | 3.92210i | −0.203610 | + | 0.170849i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −27.5178 | + | 10.0157i | −1.19643 | + | 0.435463i | ||||
\(530\) | 3.12089 | − | 4.82966i | 0.135563 | − | 0.209787i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −46.9337 | + | 21.1514i | −2.03484 | + | 0.917029i | ||||
\(533\) | −1.18739 | + | 6.73403i | −0.0514316 | + | 0.291683i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.72970 | + | 4.75232i | −0.0747816 | + | 0.205461i | ||||
\(536\) | −0.361716 | − | 14.9162i | −0.0156238 | − | 0.644282i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 3.46379 | − | 15.1598i | 0.149335 | − | 0.653587i | ||||
\(539\) | − | 7.60929i | − | 0.327755i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 23.3927i | − | 1.00573i | −0.864365 | − | 0.502865i | \(-0.832279\pi\) | ||
0.864365 | − | 0.502865i | \(-0.167721\pi\) | |||||||
\(542\) | −27.1830 | − | 6.21091i | −1.16761 | − | 0.266781i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.45867 | − | 3.59733i | 0.105415 | − | 0.154234i | ||||
\(545\) | −1.42454 | + | 3.91388i | −0.0610204 | + | 0.167652i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −3.87158 | + | 21.9568i | −0.165537 | + | 0.938806i | 0.782972 | + | 0.622056i | \(0.213703\pi\) |
−0.948509 | + | 0.316749i | \(0.897409\pi\) | |||||||
\(548\) | 12.2971 | − | 5.54188i | 0.525306 | − | 0.236737i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 8.07135 | + | 5.21566i | 0.344164 | + | 0.222396i | ||||
\(551\) | 28.3603 | − | 10.3223i | 1.20819 | − | 0.439745i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −37.4796 | + | 31.4491i | −1.59379 | + | 1.33735i | ||||
\(554\) | −10.2549 | + | 24.3120i | −0.435691 | + | 1.03292i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.95811 | + | 28.2351i | −0.337499 | + | 1.19744i | ||||
\(557\) | 13.3979 | + | 23.2059i | 0.567688 | + | 0.983265i | 0.996794 | + | 0.0800105i | \(0.0254954\pi\) |
−0.429106 | + | 0.903254i | \(0.641171\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.63842 | + | 2.67799i | 0.196184 | + | 0.113267i | ||||
\(560\) | −0.969456 | − | 6.47220i | −0.0409670 | − | 0.273501i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 34.3665 | − | 4.29868i | 1.44966 | − | 0.181329i | ||||
\(563\) | −26.1430 | + | 4.60972i | −1.10180 | + | 0.194276i | −0.694835 | − | 0.719169i | \(-0.744523\pi\) |
−0.406961 | + | 0.913446i | \(0.633411\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.15352 | − | 1.37471i | 0.0485290 | − | 0.0578346i | ||||
\(566\) | −11.3202 | − | 22.0934i | −0.475825 | − | 0.928656i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 31.9230 | + | 4.83409i | 1.33946 | + | 0.202834i | ||||
\(569\) | −4.50444 | + | 5.36818i | −0.188836 | + | 0.225046i | −0.852153 | − | 0.523292i | \(-0.824704\pi\) |
0.663317 | + | 0.748338i | \(0.269148\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.80104 | − | 10.2142i | −0.0753710 | − | 0.427450i | −0.999022 | − | 0.0442155i | \(-0.985921\pi\) |
0.923651 | − | 0.383235i | \(-0.125190\pi\) | |||||||
\(572\) | 5.92222 | − | 4.03372i | 0.247620 | − | 0.168658i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 12.8806 | − | 3.96990i | 0.537626 | − | 0.165700i | ||||
\(575\) | 17.2937 | − | 29.9535i | 0.721196 | − | 1.24915i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.28015 | − | 9.14548i | −0.219815 | − | 0.380731i | 0.734936 | − | 0.678136i | \(-0.237212\pi\) |
−0.954751 | + | 0.297405i | \(0.903879\pi\) | |||||||
\(578\) | 17.0051 | + | 15.7857i | 0.707317 | + | 0.656597i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.284963 | + | 3.82612i | 0.0118324 | + | 0.158871i | ||||
\(581\) | 31.0508 | − | 26.0547i | 1.28821 | − | 1.08093i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −4.24453 | − | 11.6618i | −0.175791 | − | 0.482981i | ||||
\(584\) | 6.10961 | + | 15.5986i | 0.252818 | + | 0.645475i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 35.9583 | + | 1.80287i | 1.48542 | + | 0.0744760i | ||||
\(587\) | 23.9487 | + | 4.22280i | 0.988467 | + | 0.174293i | 0.644431 | − | 0.764663i | \(-0.277094\pi\) |
0.344037 | + | 0.938956i | \(0.388206\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 19.8391 | − | 54.5074i | 0.817455 | − | 2.24594i | ||||
\(590\) | 0.950572 | + | 1.25553i | 0.0391344 | + | 0.0516892i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −12.0101 | − | 4.72634i | −0.493612 | − | 0.194251i | ||||
\(593\) | − | 3.37367i | − | 0.138540i | −0.997598 | − | 0.0692700i | \(-0.977933\pi\) | ||
0.997598 | − | 0.0692700i | \(-0.0220670\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.26023 | −0.0516645 | ||||||||
\(596\) | −16.5463 | + | 4.20512i | −0.677762 | + | 0.172248i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −15.5671 | − | 20.5612i | −0.636585 | − | 0.840809i | ||||
\(599\) | 5.23313 | + | 1.90470i | 0.213820 | + | 0.0778241i | 0.446709 | − | 0.894679i | \(-0.352596\pi\) |
−0.232889 | + | 0.972503i | \(0.574818\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.92392 | + | 27.9250i | −0.200851 | + | 1.13908i | 0.702985 | + | 0.711205i | \(0.251850\pi\) |
−0.903836 | + | 0.427879i | \(0.859261\pi\) | |||||||
\(602\) | 0.528661 | − | 10.5442i | 0.0215466 | − | 0.429748i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.997648 | − | 9.92404i | 0.0405937 | − | 0.403803i | ||||
\(605\) | 3.92843 | − | 1.42983i | 0.159713 | − | 0.0581309i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.4758 | − | 14.8681i | −0.506379 | − | 0.603479i | 0.450925 | − | 0.892562i | \(-0.351094\pi\) |
−0.957304 | + | 0.289083i | \(0.906650\pi\) | |||||||
\(608\) | −3.14287 | + | 41.3029i | −0.127460 | + | 1.67505i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.37552 | − | 1.48178i | 0.0556933 | − | 0.0599955i | ||||
\(611\) | −22.9465 | + | 13.2482i | −0.928315 | + | 0.535963i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −4.17880 | − | 2.41263i | −0.168780 | − | 0.0974452i | 0.413230 | − | 0.910626i | \(-0.364400\pi\) |
−0.582010 | + | 0.813181i | \(0.697734\pi\) | |||||||
\(614\) | 37.0408 | − | 11.4163i | 1.49485 | − | 0.460723i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −12.3994 | − | 6.76344i | −0.499588 | − | 0.272507i | ||||
\(617\) | −21.9486 | + | 3.87013i | −0.883617 | + | 0.155806i | −0.597002 | − | 0.802240i | \(-0.703641\pi\) |
−0.286616 | + | 0.958046i | \(0.592530\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.17245 | + | 6.01840i | 0.288285 | + | 0.241900i | 0.775448 | − | 0.631411i | \(-0.217524\pi\) |
−0.487163 | + | 0.873311i | \(0.661968\pi\) | |||||||
\(620\) | 5.98528 | + | 4.30729i | 0.240374 | + | 0.172985i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −10.0308 | − | 19.5769i | −0.402200 | − | 0.784964i | ||||
\(623\) | 26.7198 | + | 22.4206i | 1.07051 | + | 0.898262i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.78508 | + | 21.4663i | 0.151403 | + | 0.858650i | ||||
\(626\) | 1.78887 | + | 14.3014i | 0.0714977 | + | 0.571601i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 32.4461 | − | 31.6180i | 1.29474 | − | 1.26170i | ||||
\(629\) | −1.24269 | + | 2.15240i | −0.0495493 | + | 0.0858218i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 27.6553 | − | 15.9668i | 1.10094 | − | 0.635628i | 0.164472 | − | 0.986382i | \(-0.447408\pi\) |
0.936468 | + | 0.350754i | \(0.114075\pi\) | |||||||
\(632\) | 7.77399 | + | 38.5924i | 0.309233 | + | 1.53512i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 43.0831 | + | 18.1727i | 1.71105 | + | 0.721730i | ||||
\(635\) | −3.39964 | − | 4.05154i | −0.134911 | − | 0.160780i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.62030 | − | 12.6942i | −0.183063 | − | 0.502961i | ||||
\(638\) | 6.95470 | + | 4.49408i | 0.275339 | + | 0.177922i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −4.94539 | − | 1.80897i | −0.195484 | − | 0.0715059i | ||||
\(641\) | 21.6518 | + | 3.81780i | 0.855195 | + | 0.150794i | 0.584023 | − | 0.811737i | \(-0.301478\pi\) |
0.271172 | + | 0.962531i | \(0.412589\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −21.2821 | − | 7.74607i | −0.839286 | − | 0.305475i | −0.113622 | − | 0.993524i | \(-0.536245\pi\) |
−0.725664 | + | 0.688049i | \(0.758467\pi\) | |||||||
\(644\) | −22.0773 | + | 45.7903i | −0.869969 | + | 1.80439i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 7.77615 | + | 1.77673i | 0.305948 | + | 0.0699046i | ||||
\(647\) | −46.7102 | −1.83637 | −0.918183 | − | 0.396157i | \(-0.870344\pi\) | ||||
−0.918183 | + | 0.396157i | \(0.870344\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 3.39868 | 0.133410 | ||||||||
\(650\) | 16.6319 | + | 3.80014i | 0.652357 | + | 0.149054i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 44.9042 | + | 21.6501i | 1.75858 | + | 0.847883i | ||||
\(653\) | 10.0893 | + | 3.67221i | 0.394825 | + | 0.143705i | 0.531800 | − | 0.846870i | \(-0.321516\pi\) |
−0.136975 | + | 0.990575i | \(0.543738\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 9.06022 | + | 1.59756i | 0.354012 | + | 0.0624219i | ||||
\(656\) | 2.15870 | − | 10.6283i | 0.0842831 | − | 0.414964i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 43.8663 | + | 28.3461i | 1.71009 | + | 1.10505i | ||||
\(659\) | −13.5526 | − | 37.2355i | −0.527935 | − | 1.45049i | −0.861497 | − | 0.507762i | \(-0.830473\pi\) |
0.333562 | − | 0.942728i | \(-0.391749\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.48287 | − | 10.1095i | −0.329945 | − | 0.393213i | 0.575412 | − | 0.817863i | \(-0.304842\pi\) |
−0.905358 | + | 0.424650i | \(0.860397\pi\) | |||||||
\(662\) | −14.4813 | − | 6.10831i | −0.562833 | − | 0.237406i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −6.44055 | − | 31.9728i | −0.249942 | − | 1.24079i | ||||
\(665\) | 10.3753 | − | 5.99018i | 0.402337 | − | 0.232289i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 14.9011 | − | 25.8095i | 0.576974 | − | 0.999349i | ||||
\(668\) | 1.46966 | + | 1.50815i | 0.0568629 | + | 0.0583521i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.430971 | + | 3.44547i | 0.0166499 | + | 0.133110i | ||||
\(671\) | −0.757708 | − | 4.29718i | −0.0292510 | − | 0.165891i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −4.00717 | − | 3.36241i | −0.154465 | − | 0.129612i | 0.562280 | − | 0.826947i | \(-0.309924\pi\) |
−0.716745 | + | 0.697335i | \(0.754369\pi\) | |||||||
\(674\) | −4.13406 | − | 8.06834i | −0.159238 | − | 0.310781i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −7.75655 | + | 10.7783i | −0.298329 | + | 0.414549i | ||||
\(677\) | −0.442568 | − | 0.371358i | −0.0170093 | − | 0.0142725i | 0.634243 | − | 0.773133i | \(-0.281312\pi\) |
−0.651253 | + | 0.758861i | \(0.725756\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 7.19096 | − | 1.26796i | 0.275964 | − | 0.0486598i | ||||
\(680\) | −0.485575 | + | 0.890206i | −0.0186209 | + | 0.0341378i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 15.2086 | − | 4.68742i | 0.582368 | − | 0.179490i | ||||
\(683\) | 0.194169 | + | 0.112104i | 0.00742968 | + | 0.00428953i | 0.503710 | − | 0.863873i | \(-0.331968\pi\) |
−0.496281 | + | 0.868162i | \(0.665301\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.71843 | + | 1.56949i | −0.103866 | + | 0.0599670i | ||||
\(686\) | 5.55878 | − | 5.98818i | 0.212235 | − | 0.228630i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −7.24451 | − | 4.43616i | −0.276194 | − | 0.169127i | ||||
\(689\) | −14.1618 | − | 16.8774i | −0.539523 | − | 0.642979i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −13.3272 | + | 4.85069i | −0.506989 | + | 0.184529i | −0.582835 | − | 0.812591i | \(-0.698057\pi\) |
0.0758457 | + | 0.997120i | \(0.475834\pi\) | |||||||
\(692\) | 6.94252 | + | 0.697921i | 0.263915 | + | 0.0265310i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 2.28706 | − | 45.6155i | 0.0868157 | − | 1.73154i | ||||
\(695\) | 1.18548 | − | 6.72318i | 0.0449677 | − | 0.255025i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.96248 | − | 0.714286i | −0.0743344 | − | 0.0270555i | ||||
\(698\) | 0.221198 | + | 0.292162i | 0.00837248 | + | 0.0110585i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −8.28317 | − | 32.5926i | −0.313075 | − | 1.23188i | ||||
\(701\) | −5.36891 | −0.202781 | −0.101391 | − | 0.994847i | \(-0.532329\pi\) | ||||
−0.101391 | + | 0.994847i | \(0.532329\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 23.6272i | − | 0.891115i | ||||||
\(704\) | −9.55515 | + | 6.15275i | −0.360123 | + | 0.231891i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −7.01860 | − | 9.27026i | −0.264149 | − | 0.348891i | ||||
\(707\) | −10.2524 | + | 28.1683i | −0.385582 | + | 1.05938i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −16.2741 | − | 2.86956i | −0.611187 | − | 0.107769i | −0.140517 | − | 0.990078i | \(-0.544876\pi\) |
−0.470670 | + | 0.882310i | \(0.655988\pi\) | |||||||
\(710\) | −7.50441 | − | 0.376255i | −0.281635 | − | 0.0141206i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 26.1328 | − | 10.2356i | 0.979368 | − | 0.383596i | ||||
\(713\) | −19.5905 | − | 53.8245i | −0.733671 | − | 2.01574i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.27741 | + | 1.07188i | −0.0477725 | + | 0.0400859i | ||||
\(716\) | 27.4839 | − | 2.04695i | 1.02712 | − | 0.0764982i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.373599 | + | 0.346809i | 0.0139426 | + | 0.0129428i | ||||
\(719\) | −1.17170 | − | 2.02945i | −0.0436971 | − | 0.0756857i | 0.843350 | − | 0.537365i | \(-0.180580\pi\) |
−0.887047 | + | 0.461680i | \(0.847247\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −15.0586 | + | 26.0823i | −0.560812 | + | 0.971356i | ||||
\(722\) | −46.7869 | + | 14.4201i | −1.74123 | + | 0.536660i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 2.66227 | + | 3.90869i | 0.0989426 | + | 0.145265i | ||||
\(725\) | 3.42349 | + | 19.4156i | 0.127145 | + | 0.721077i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −10.6227 | + | 12.6596i | −0.393974 | + | 0.469520i | −0.926173 | − | 0.377099i | \(-0.876922\pi\) |
0.532198 | + | 0.846620i | \(0.321366\pi\) | |||||||
\(728\) | −24.7920 | − | 3.75424i | −0.918853 | − | 0.139142i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.77780 | − | 3.46969i | −0.0657993 | − | 0.128419i | ||||
\(731\) | −1.05149 | + | 1.25311i | −0.0388906 | + | 0.0463480i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −35.2664 | + | 6.21842i | −1.30260 | + | 0.229683i | −0.781548 | − | 0.623845i | \(-0.785570\pi\) |
−0.521047 | + | 0.853528i | \(0.674458\pi\) | |||||||
\(734\) | 43.7800 | − | 5.47614i | 1.61595 | − | 0.202128i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 23.8390 | + | 33.2383i | 0.878715 | + | 1.22518i | ||||
\(737\) | 6.48994 | + | 3.74697i | 0.239060 | + | 0.138021i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 15.1448 | + | 26.2316i | 0.557112 | + | 0.964946i | 0.997736 | + | 0.0672539i | \(0.0214238\pi\) |
−0.440624 | + | 0.897692i | \(0.645243\pi\) | |||||||
\(740\) | 2.89099 | + | 0.814831i | 0.106275 | + | 0.0299538i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −16.8781 | + | 40.0140i | −0.619616 | + | 1.46896i | ||||
\(743\) | 37.2460 | − | 31.2531i | 1.36642 | − | 1.14657i | 0.392485 | − | 0.919758i | \(-0.371616\pi\) |
0.973940 | − | 0.226808i | \(-0.0728289\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.73346 | − | 1.35887i | 0.136783 | − | 0.0497850i | ||||
\(746\) | 10.1614 | + | 6.56622i | 0.372035 | + | 0.240407i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.899173 | + | 1.99521i | 0.0328770 | + | 0.0729522i | ||||
\(749\) | 6.63243 | − | 37.6144i | 0.242344 | − | 1.37440i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.78479 | − | 4.90367i | 0.0651279 | − | 0.178937i | −0.902860 | − | 0.429935i | \(-0.858536\pi\) |
0.967988 | + | 0.250998i | \(0.0807586\pi\) | |||||||
\(752\) | 36.9252 | − | 20.0645i | 1.34652 | − | 0.731676i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 14.3309 | + | 3.27440i | 0.521901 | + | 0.119246i | ||||
\(755\) | 2.32116i | 0.0844758i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 23.5414i | 0.855626i | 0.903867 | + | 0.427813i | \(0.140716\pi\) | ||||
−0.903867 | + | 0.427813i | \(0.859284\pi\) | |||||||
\(758\) | −3.74032 | + | 16.3701i | −0.135855 | + | 0.594589i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.233696 | − | 9.63698i | −0.00847703 | − | 0.349570i | ||||
\(761\) | −11.0387 | + | 30.3285i | −0.400151 | + | 1.09941i | 0.562059 | + | 0.827097i | \(0.310010\pi\) |
−0.962210 | + | 0.272309i | \(0.912213\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 5.46228 | − | 30.9782i | 0.197748 | − | 1.12148i | ||||
\(764\) | 8.87173 | + | 19.6858i | 0.320968 | + | 0.712209i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −17.6722 | + | 27.3482i | −0.638523 | + | 0.988129i | ||||
\(767\) | 5.66984 | − | 2.06365i | 0.204726 | − | 0.0745141i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.7031 | + | 8.98096i | −0.385964 | + | 0.323862i | −0.815038 | − | 0.579407i | \(-0.803284\pi\) |
0.429075 | + | 0.903269i | \(0.358840\pi\) | |||||||
\(770\) | 3.02857 | + | 1.27747i | 0.109142 | + | 0.0460367i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 11.1643 | − | 39.6107i | 0.401813 | − | 1.42562i | ||||
\(773\) | −7.86483 | − | 13.6223i | −0.282878 | − | 0.489959i | 0.689214 | − | 0.724558i | \(-0.257956\pi\) |
−0.972092 | + | 0.234598i | \(0.924623\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 32.8152 | + | 18.9459i | 1.17876 | + | 0.680555i | ||||
\(776\) | 1.87505 | − | 5.56812i | 0.0673105 | − | 0.199884i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.21331 | + | 25.6894i | 0.115203 | + | 0.921009i | ||||
\(779\) | 19.5520 | − | 3.44754i | 0.700523 | − | 0.123521i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −10.4236 | + | 12.4224i | −0.372987 | + | 0.444509i | ||||
\(782\) | 7.00999 | − | 3.59178i | 0.250677 | − | 0.128442i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.80515 | + | 20.3162i | 0.243041 | + | 0.725580i | ||||
\(785\) | −6.77701 | + | 8.07653i | −0.241882 | + | 0.288264i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0.897820 | + | 5.09179i | 0.0320038 | + | 0.181503i | 0.996619 | − | 0.0821580i | \(-0.0261812\pi\) |
−0.964616 | + | 0.263661i | \(0.915070\pi\) | |||||||
\(788\) | −4.22904 | + | 2.88047i | −0.150653 | + | 0.102612i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2.69843 | − | 8.75523i | −0.0960059 | − | 0.311497i | ||||
\(791\) | −6.77657 | + | 11.7374i | −0.240947 | + | 0.417333i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −3.87325 | − | 6.70867i | −0.137543 | − | 0.238232i | ||||
\(794\) | −6.43407 | + | 6.93108i | −0.228336 | + | 0.245975i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 41.6240 | − | 3.10008i | 1.47532 | − | 0.109880i | ||||
\(797\) | −1.73089 | + | 1.45239i | −0.0613111 | + | 0.0514461i | −0.672928 | − | 0.739708i | \(-0.734964\pi\) |
0.611617 | + | 0.791154i | \(0.290519\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −2.76779 | − | 7.60445i | −0.0979175 | − | 0.269026i | ||||
\(800\) | −26.2144 | − | 6.70703i | −0.926819 | − | 0.237129i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0.565309 | − | 11.2751i | 0.0199617 | − | 0.398137i | ||||
\(803\) | −8.28617 | − | 1.46107i | −0.292412 | − | 0.0515602i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.04618 | − | 11.1168i | 0.142609 | − | 0.391816i | ||||
\(806\) | 22.5255 | − | 17.0543i | 0.793428 | − | 0.600712i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 15.9473 | + | 18.0956i | 0.561024 | + | 0.636599i | ||||
\(809\) | 3.55121i | 0.124854i | 0.998050 | + | 0.0624270i | \(0.0198841\pi\) | ||||
−0.998050 | + | 0.0624270i | \(0.980116\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −24.8246 | −0.871710 | −0.435855 | − | 0.900017i | \(-0.643554\pi\) | ||||
−0.435855 | + | 0.900017i | \(0.643554\pi\) | |||||||
\(812\) | −7.13722 | − | 28.0835i | −0.250467 | − | 0.985537i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 5.16824 | − | 3.91292i | 0.181147 | − | 0.137148i | ||||
\(815\) | −10.9017 | − | 3.96788i | −0.381869 | − | 0.138989i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.70038 | − | 15.3146i | 0.0944744 | − | 0.535791i | ||||
\(818\) | −8.50212 | − | 0.426278i | −0.297270 | − | 0.0149045i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.252453 | + | 2.51125i | −0.00881603 | + | 0.0876968i | ||||
\(821\) | 7.98474 | − | 2.90621i | 0.278669 | − | 0.101427i | −0.198905 | − | 0.980019i | \(-0.563738\pi\) |
0.477574 | + | 0.878591i | \(0.341516\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −21.2355 | − | 25.3075i | −0.740223 | − | 0.882163i | 0.256204 | − | 0.966623i | \(-0.417528\pi\) |
−0.996427 | + | 0.0844593i | \(0.973084\pi\) | |||||||
\(824\) | 12.6219 | + | 20.6868i | 0.439705 | + | 0.720659i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −8.71655 | − | 8.09150i | −0.303288 | − | 0.281539i | ||||
\(827\) | 27.5962 | − | 15.9327i | 0.959613 | − | 0.554033i | 0.0635591 | − | 0.997978i | \(-0.479755\pi\) |
0.896054 | + | 0.443945i | \(0.146422\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −3.48406 | − | 2.01153i | −0.121007 | − | 0.0698632i | 0.438275 | − | 0.898841i | \(-0.355590\pi\) |
−0.559282 | + | 0.828978i | \(0.688923\pi\) | |||||||
\(830\) | 2.23558 | + | 7.25348i | 0.0775982 | + | 0.251772i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −12.2044 | + | 16.0661i | −0.423113 | + | 0.556992i | ||||
\(833\) | 4.06318 | − | 0.716448i | 0.140781 | − | 0.0248235i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.375411 | − | 0.315007i | −0.0129916 | − | 0.0109013i | ||||
\(836\) | −16.8865 | − | 12.1523i | −0.584030 | − | 0.420296i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −33.8374 | + | 17.3376i | −1.16889 | + | 0.598918i | ||||
\(839\) | −13.1010 | − | 10.9931i | −0.452298 | − | 0.379523i | 0.387990 | − | 0.921664i | \(-0.373170\pi\) |
−0.840288 | + | 0.542140i | \(0.817614\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.08594 | − | 11.8299i | −0.0719288 | − | 0.407929i | ||||
\(842\) | 26.7196 | − | 3.34217i | 0.920818 | − | 0.115179i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −0.0210906 | − | 0.0216430i | −0.000725968 | − | 0.000744981i | ||||
\(845\) | 1.54516 | − | 2.67630i | 0.0531551 | − | 0.0920674i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −27.3430 | + | 15.7865i | −0.939516 | + | 0.542430i | ||||
\(848\) | 21.7620 | + | 27.3401i | 0.747309 | + | 0.938861i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −2.02508 | + | 4.80099i | −0.0694598 | + | 0.164673i | ||||
\(851\) | −14.9970 | − | 17.8727i | −0.514089 | − | 0.612668i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −4.54120 | − | 12.4769i | −0.155488 | − | 0.427199i | 0.837350 | − | 0.546667i | \(-0.184104\pi\) |
−0.992838 | + | 0.119467i | \(0.961881\pi\) | |||||||
\(854\) | −8.28732 | + | 12.8248i | −0.283586 | + | 0.438857i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −24.0146 | − | 19.1781i | −0.820803 | − | 0.655493i | ||||
\(857\) | −1.39542 | − | 0.246051i | −0.0476668 | − | 0.00840494i | 0.149764 | − | 0.988722i | \(-0.452149\pi\) |
−0.197431 | + | 0.980317i | \(0.563260\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 13.1020 | + | 4.76873i | 0.447034 | + | 0.162707i | 0.555721 | − | 0.831369i | \(-0.312442\pi\) |
−0.108687 | + | 0.994076i | \(0.534665\pi\) | |||||||
\(860\) | 1.78075 | + | 0.858572i | 0.0607231 | + | 0.0292770i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 6.05511 | − | 26.5011i | 0.206238 | − | 0.902633i | ||||
\(863\) | −32.7283 | −1.11408 | −0.557041 | − | 0.830485i | \(-0.688064\pi\) | ||||
−0.557041 | + | 0.830485i | \(0.688064\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.62381 | −0.0552111 | ||||||||
\(866\) | 4.30483 | − | 18.8408i | 0.146284 | − | 0.640236i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −50.1650 | − | 24.1865i | −1.70271 | − | 0.820945i | ||||
\(869\) | −18.5802 | − | 6.76263i | −0.630289 | − | 0.229406i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 13.1019 | + | 2.31023i | 0.443942 | + | 0.0782790i | ||||
\(872\) | −19.7778 | − | 15.7945i | −0.669760 | − | 0.534870i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −40.6396 | + | 62.8907i | −1.37465 | + | 2.12731i | ||||
\(875\) | 5.47457 | + | 15.0413i | 0.185074 | + | 0.508488i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 16.7454 | + | 19.9563i | 0.565450 | + | 0.673878i | 0.970691 | − | 0.240333i | \(-0.0772565\pi\) |
−0.405240 | + | 0.914210i | \(0.632812\pi\) | |||||||
\(878\) | −13.4679 | + | 31.9292i | −0.454520 | + | 1.07756i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 2.06930 | − | 1.64711i | 0.0697562 | − | 0.0555241i | ||||
\(881\) | −32.0686 | + | 18.5148i | −1.08042 | + | 0.623779i | −0.931009 | − | 0.364996i | \(-0.881070\pi\) |
−0.149408 | + | 0.988776i | \(0.547737\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 15.5793 | − | 26.9841i | 0.524285 | − | 0.908089i | −0.475315 | − | 0.879816i | \(-0.657666\pi\) |
0.999600 | − | 0.0282731i | \(-0.00900081\pi\) | |||||||
\(884\) | 2.71152 | + | 2.78253i | 0.0911981 | + | 0.0935867i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −19.3371 | + | 2.41875i | −0.649643 | + | 0.0812595i | ||||
\(887\) | 1.60872 | + | 9.12349i | 0.0540154 | + | 0.306337i | 0.999831 | − | 0.0183666i | \(-0.00584661\pi\) |
−0.945816 | + | 0.324703i | \(0.894735\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 30.5986 | + | 25.6753i | 1.02624 | + | 0.861122i | ||||
\(890\) | −5.81287 | + | 2.97840i | −0.194848 | + | 0.0998363i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −4.42713 | − | 3.18597i | −0.148231 | − | 0.106674i | ||||
\(893\) | 58.9325 | + | 49.4503i | 1.97210 | + | 1.65479i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −6.31633 | + | 1.11374i | −0.211132 | + | 0.0372282i | ||||
\(896\) | 39.1543 | + | 6.96880i | 1.30805 | + | 0.232811i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 7.53731 | + | 24.4553i | 0.251523 | + | 0.816083i | ||||
\(899\) | 28.2753 | + | 16.3247i | 0.943033 | + | 0.544461i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.82747 | − | 3.36449i | 0.194141 | − | 0.112087i | ||||
\(902\) | 3.99215 | + | 3.70588i | 0.132924 | + | 0.123392i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 5.68002 | + | 9.30932i | 0.188915 | + | 0.309624i | ||||
\(905\) | −0.707443 | − | 0.843097i | −0.0235162 | − | 0.0280255i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 14.1698 | − | 5.15740i | 0.470502 | − | 0.171249i | −0.0958780 | − | 0.995393i | \(-0.530566\pi\) |
0.566380 | + | 0.824145i | \(0.308344\pi\) | |||||||
\(908\) | −0.405820 | + | 4.03686i | −0.0134676 | + | 0.133968i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 5.82806 | + | 0.292206i | 0.193198 | + | 0.00968655i | ||||
\(911\) | −2.78022 | + | 15.7674i | −0.0921129 | + | 0.522398i | 0.903481 | + | 0.428628i | \(0.141003\pi\) |
−0.995594 | + | 0.0937702i | \(0.970108\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 15.3932 | + | 5.60266i | 0.509440 | + | 0.185421i | ||||
\(914\) | −7.49721 | + | 5.67621i | −0.247986 | + | 0.187752i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.06656 | − | 12.0663i | −0.101322 | − | 0.398681i | ||||
\(917\) | −69.4815 | −2.29448 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 35.6444i | 1.17580i | 0.808934 | + | 0.587900i | \(0.200045\pi\) | ||||
−0.808934 | + | 0.587900i | \(0.799955\pi\) | |||||||
\(920\) | −6.29369 | − | 7.14152i | −0.207497 | − | 0.235449i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −25.4509 | + | 19.2691i | −0.838181 | + | 0.634595i | ||||
\(923\) | −9.84640 | + | 27.0528i | −0.324098 | + | 0.890453i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 15.1998 | + | 2.68013i | 0.499766 | + | 0.0881222i | ||||
\(926\) | 0.668997 | − | 13.3431i | 0.0219846 | − | 0.438483i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −22.5877 | − | 5.77913i | −0.741477 | − | 0.189709i | ||||
\(929\) | −5.42788 | − | 14.9130i | −0.178083 | − | 0.489279i | 0.818248 | − | 0.574866i | \(-0.194946\pi\) |
−0.996331 | + | 0.0855870i | \(0.972723\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −30.0461 | + | 25.2117i | −0.984721 | + | 0.826279i | ||||
\(932\) | −49.4893 | + | 3.68588i | −1.62108 | + | 0.120735i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −7.51205 | + | 8.09234i | −0.245802 | + | 0.264790i | ||||
\(935\) | −0.254650 | − | 0.441067i | −0.00832795 | − | 0.0144244i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 3.18741 | − | 5.52076i | 0.104128 | − | 0.180355i | −0.809253 | − | 0.587460i | \(-0.800128\pi\) |
0.913382 | + | 0.407104i | \(0.133461\pi\) | |||||||
\(938\) | −7.72397 | − | 25.0609i | −0.252196 | − | 0.818267i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −8.08309 | + | 5.50552i | −0.263641 | + | 0.179570i | ||||
\(941\) | 3.12587 | + | 17.7277i | 0.101900 | + | 0.577906i | 0.992413 | + | 0.122948i | \(0.0392348\pi\) |
−0.890513 | + | 0.454959i | \(0.849654\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 12.6018 | − | 15.0182i | 0.410370 | − | 0.489060i | ||||
\(944\) | −9.07423 | + | 3.03952i | −0.295341 | + | 0.0989278i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 3.79716 | − | 1.94559i | 0.123456 | − | 0.0632566i | ||||
\(947\) | 3.51808 | − | 4.19268i | 0.114322 | − | 0.136244i | −0.705848 | − | 0.708363i | \(-0.749434\pi\) |
0.820171 | + | 0.572119i | \(0.193878\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −14.7105 | + | 2.59386i | −0.477523 | + | 0.0842002i | ||||
\(950\) | −6.14803 | − | 49.1515i | −0.199468 | − | 1.59469i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 2.44406 | − | 7.25782i | 0.0792123 | − | 0.235227i | ||||
\(953\) | 8.89078 | + | 5.13310i | 0.288001 | + | 0.166277i | 0.637040 | − | 0.770831i | \(-0.280159\pi\) |
−0.349039 | + | 0.937108i | \(0.613492\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.51252 | − | 4.35181i | −0.0813031 | − | 0.140821i | ||||
\(956\) | 13.8498 | − | 49.1388i | 0.447936 | − | 1.58926i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −31.0495 | − | 13.0969i | −1.00316 | − | 0.423140i | ||||
\(959\) | 18.1603 | − | 15.2383i | 0.586428 | − | 0.492071i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 29.8362 | − | 10.8595i | 0.962460 | − | 0.350307i | ||||
\(962\) | 6.24600 | − | 9.66583i | 0.201379 | − | 0.311639i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 13.5576 | + | 30.0836i | 0.436661 | + | 0.968926i | ||||
\(965\) | −1.66309 | + | 9.43186i | −0.0535368 | + | 0.303622i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1.87573 | − | 5.15353i | 0.0603195 | − | 0.165726i | −0.905872 | − | 0.423551i | \(-0.860783\pi\) |
0.966192 | + | 0.257825i | \(0.0830057\pi\) | |||||||
\(968\) | 0.615880 | + | 25.3972i | 0.0197951 | + | 0.816298i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.304562 | + | 1.33296i | −0.00977889 | + | 0.0427988i | ||||
\(971\) | 22.2762i | 0.714877i | 0.933937 | + | 0.357439i | \(0.116350\pi\) | ||||
−0.933937 | + | 0.357439i | \(0.883650\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 51.5591i | 1.65291i | ||||||||
\(974\) | −6.89631 | − | 1.57570i | −0.220972 | − | 0.0504887i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 5.86608 | + | 10.7955i | 0.187769 | + | 0.345556i | ||||
\(977\) | 8.42429 | − | 23.1456i | 0.269517 | − | 0.740492i | −0.728920 | − | 0.684599i | \(-0.759977\pi\) |
0.998437 | − | 0.0558929i | \(-0.0178005\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.44778 | + | 13.8821i | −0.0782315 | + | 0.443673i | ||||
\(980\) | −2.04867 | − | 4.54588i | −0.0654423 | − | 0.145213i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −37.3473 | − | 24.1336i | −1.19180 | − | 0.770135i | ||||
\(983\) | −19.2748 | + | 7.01545i | −0.614771 | + | 0.223758i | −0.630589 | − | 0.776117i | \(-0.717187\pi\) |
0.0158187 | + | 0.999875i | \(0.494965\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.912196 | − | 0.765424i | 0.0290650 | − | 0.0243884i | ||||
\(986\) | −1.74492 | + | 4.13679i | −0.0555695 | + | 0.131742i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −35.5495 | − | 10.0197i | −1.13098 | − | 0.318769i | ||||
\(989\) | −7.67802 | − | 13.2987i | −0.244147 | − | 0.422875i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 19.3983 | + | 11.1996i | 0.616207 | + | 0.355767i | 0.775391 | − | 0.631482i | \(-0.217553\pi\) |
−0.159184 | + | 0.987249i | \(0.550886\pi\) | |||||||
\(992\) | −36.4138 | + | 26.1164i | −1.15614 | + | 0.829198i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 56.3083 | − | 7.04323i | 1.78599 | − | 0.223398i | ||||
\(995\) | −9.56599 | + | 1.68674i | −0.303262 | + | 0.0534733i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −27.6176 | + | 32.9134i | −0.874659 | + | 1.04238i | 0.124085 | + | 0.992272i | \(0.460400\pi\) |
−0.998744 | + | 0.0501062i | \(0.984044\pi\) | |||||||
\(998\) | −7.97776 | − | 15.5700i | −0.252532 | − | 0.492860i | ||||
\(999\) | 0 | 0 |
(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 | 648.2.v.b.35.18 | 192 | ||
3.2 | odd | 2 | 216.2.v.b.11.15 | yes | 192 | ||
8.3 | odd | 2 | inner | 648.2.v.b.35.29 | 192 | ||
12.11 | even | 2 | 864.2.bh.b.335.21 | 192 | |||
24.5 | odd | 2 | 864.2.bh.b.335.22 | 192 | |||
24.11 | even | 2 | 216.2.v.b.11.4 | ✓ | 192 | ||
27.5 | odd | 18 | inner | 648.2.v.b.611.29 | 192 | ||
27.22 | even | 9 | 216.2.v.b.59.4 | yes | 192 | ||
108.103 | odd | 18 | 864.2.bh.b.815.22 | 192 | |||
216.59 | even | 18 | inner | 648.2.v.b.611.18 | 192 | ||
216.157 | even | 18 | 864.2.bh.b.815.21 | 192 | |||
216.211 | odd | 18 | 216.2.v.b.59.15 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.v.b.11.4 | ✓ | 192 | 24.11 | even | 2 | ||
216.2.v.b.11.15 | yes | 192 | 3.2 | odd | 2 | ||
216.2.v.b.59.4 | yes | 192 | 27.22 | even | 9 | ||
216.2.v.b.59.15 | yes | 192 | 216.211 | odd | 18 | ||
648.2.v.b.35.18 | 192 | 1.1 | even | 1 | trivial | ||
648.2.v.b.35.29 | 192 | 8.3 | odd | 2 | inner | ||
648.2.v.b.611.18 | 192 | 216.59 | even | 18 | inner | ||
648.2.v.b.611.29 | 192 | 27.5 | odd | 18 | inner | ||
864.2.bh.b.335.21 | 192 | 12.11 | even | 2 | |||
864.2.bh.b.335.22 | 192 | 24.5 | odd | 2 | |||
864.2.bh.b.815.21 | 192 | 216.157 | even | 18 | |||
864.2.bh.b.815.22 | 192 | 108.103 | odd | 18 |