Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(62,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.62");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.w (of order \(14\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 251.16 | ||
Character | \(\chi\) | \(=\) | 441.251 |
Dual form | 441.2.w.a.188.16 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.42590 | + | 1.13712i | 1.00826 | + | 0.804064i | 0.980693 | − | 0.195556i | \(-0.0626511\pi\) |
0.0275717 | + | 0.999620i | \(0.491223\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.295114 | + | 1.29298i | 0.147557 | + | 0.646490i | ||||
\(5\) | −0.0720329 | − | 0.0346892i | −0.0322141 | − | 0.0155135i | 0.417707 | − | 0.908582i | \(-0.362834\pi\) |
−0.449921 | + | 0.893068i | \(0.648548\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.51149 | − | 0.832121i | 0.949253 | − | 0.314512i | ||||
\(8\) | 0.533164 | − | 1.10713i | 0.188502 | − | 0.391428i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.0632661 | − | 0.131373i | −0.0200065 | − | 0.0415439i | ||||
\(11\) | −0.0489389 | − | 0.0390274i | −0.0147556 | − | 0.0117672i | 0.616084 | − | 0.787680i | \(-0.288718\pi\) |
−0.630840 | + | 0.775913i | \(0.717290\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.06781 | + | 2.44650i | 0.850857 | + | 0.678536i | 0.948532 | − | 0.316682i | \(-0.102569\pi\) |
−0.0976743 | + | 0.995218i | \(0.531140\pi\) | |||||||
\(14\) | 4.52735 | + | 1.66934i | 1.20999 | + | 0.446149i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.40896 | − | 2.12324i | 1.10224 | − | 0.530810i | ||||
\(17\) | −0.399548 | + | 1.75053i | −0.0969046 | + | 0.424567i | −0.999988 | − | 0.00489839i | \(-0.998441\pi\) |
0.903083 | + | 0.429465i | \(0.141298\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.46553i | 1.25388i | 0.779068 | + | 0.626939i | \(0.215693\pi\) | ||||
−0.779068 | + | 0.626939i | \(0.784307\pi\) | |||||||
\(20\) | 0.0235945 | − | 0.103374i | 0.00527590 | − | 0.0231152i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.0254032 | − | 0.111299i | −0.00541597 | − | 0.0237289i | ||||
\(23\) | −4.14363 | + | 0.945756i | −0.864006 | + | 0.197204i | −0.631485 | − | 0.775388i | \(-0.717554\pi\) |
−0.232520 | + | 0.972592i | \(0.574697\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.11346 | − | 3.90416i | −0.622693 | − | 0.780832i | ||||
\(26\) | 1.59244 | + | 6.97692i | 0.312303 | + | 1.36829i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.81709 | + | 3.00173i | 0.343398 | + | 0.567274i | ||||
\(29\) | −8.80774 | − | 2.01031i | −1.63556 | − | 0.373305i | −0.696632 | − | 0.717429i | \(-0.745319\pi\) |
−0.938924 | + | 0.344124i | \(0.888176\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 6.38885i | − | 1.14747i | −0.819040 | − | 0.573736i | \(-0.805494\pi\) | ||
0.819040 | − | 0.573736i | \(-0.194506\pi\) | |||||||
\(32\) | 6.30510 | + | 1.43910i | 1.11459 | + | 0.254399i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.56028 | + | 2.04175i | −0.439084 | + | 0.350158i | ||||
\(35\) | −0.209775 | − | 0.0271815i | −0.0354585 | − | 0.00459451i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.385319 | − | 1.68819i | 0.0633461 | − | 0.277537i | −0.933328 | − | 0.359024i | \(-0.883110\pi\) |
0.996674 | + | 0.0814866i | \(0.0259668\pi\) | |||||||
\(38\) | −6.21495 | + | 7.79331i | −1.00820 | + | 1.26424i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.0768107 | + | 0.0612545i | −0.0121448 | + | 0.00968518i | ||||
\(41\) | 6.08257 | + | 2.92921i | 0.949938 | + | 0.457466i | 0.843664 | − | 0.536871i | \(-0.180394\pi\) |
0.106274 | + | 0.994337i | \(0.466108\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.79918 | − | 0.866440i | 0.274373 | − | 0.132131i | −0.291638 | − | 0.956529i | \(-0.594200\pi\) |
0.566011 | + | 0.824398i | \(0.308486\pi\) | |||||||
\(44\) | 0.0360191 | − | 0.0747945i | 0.00543009 | − | 0.0112757i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.98384 | − | 3.36324i | −1.02971 | − | 0.495882i | ||||
\(47\) | −2.99901 | + | 3.76064i | −0.437451 | + | 0.548546i | −0.950869 | − | 0.309592i | \(-0.899807\pi\) |
0.513419 | + | 0.858138i | \(0.328379\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.61515 | − | 4.17972i | 0.802164 | − | 0.597103i | ||||
\(50\) | − | 9.10732i | − | 1.28797i | ||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.25792 | + | 4.68861i | −0.313117 | + | 0.650193i | ||||
\(53\) | 0.0985022 | − | 0.0224825i | 0.0135303 | − | 0.00308821i | −0.215750 | − | 0.976449i | \(-0.569220\pi\) |
0.229281 | + | 0.973360i | \(0.426363\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.00217138 | + | 0.00450891i | 0.000292788 | + | 0.000607981i | ||||
\(56\) | 0.417772 | − | 3.22419i | 0.0558272 | − | 0.430851i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −10.2730 | − | 12.8819i | −1.34891 | − | 1.69148i | ||||
\(59\) | −3.52530 | + | 1.69769i | −0.458955 | + | 0.221021i | −0.649052 | − | 0.760744i | \(-0.724834\pi\) |
0.190097 | + | 0.981765i | \(0.439120\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.20273 | − | 0.731001i | −0.410067 | − | 0.0935951i | 0.0125108 | − | 0.999922i | \(-0.496018\pi\) |
−0.422578 | + | 0.906327i | \(0.638875\pi\) | |||||||
\(62\) | 7.26488 | − | 9.10987i | 0.922641 | − | 1.15695i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.25183 | + | 1.56975i | 0.156479 | + | 0.196219i | ||||
\(65\) | −0.136116 | − | 0.282648i | −0.0168831 | − | 0.0350582i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −13.0206 | −1.59072 | −0.795361 | − | 0.606135i | \(-0.792719\pi\) | ||||
−0.795361 | + | 0.606135i | \(0.792719\pi\) | |||||||
\(68\) | −2.38132 | −0.288777 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.268210 | − | 0.277298i | −0.0320573 | − | 0.0331434i | ||||
\(71\) | −2.96758 | + | 0.677330i | −0.352187 | + | 0.0803843i | −0.394954 | − | 0.918701i | \(-0.629240\pi\) |
0.0427678 | + | 0.999085i | \(0.486382\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.291084 | − | 0.232132i | 0.0340688 | − | 0.0271690i | −0.606307 | − | 0.795230i | \(-0.707350\pi\) |
0.640376 | + | 0.768061i | \(0.278778\pi\) | |||||||
\(74\) | 2.46910 | − | 1.96904i | 0.287027 | − | 0.228897i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −7.06682 | + | 1.61296i | −0.810620 | + | 0.185019i | ||||
\(77\) | −0.155385 | − | 0.0572939i | −0.0177078 | − | 0.00652925i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 10.2856 | 1.15722 | 0.578609 | − | 0.815605i | \(-0.303596\pi\) | ||||
0.578609 | + | 0.815605i | \(0.303596\pi\) | |||||||
\(80\) | −0.391244 | −0.0437424 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 5.34228 | + | 11.0934i | 0.589957 | + | 1.22506i | ||||
\(83\) | −10.5324 | − | 13.2072i | −1.15608 | − | 1.44968i | −0.871074 | − | 0.491153i | \(-0.836576\pi\) |
−0.285006 | − | 0.958526i | \(-0.591996\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.0895053 | − | 0.112236i | 0.00970821 | − | 0.0121737i | ||||
\(86\) | 3.55070 | + | 0.810424i | 0.382882 | + | 0.0873903i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.0693007 | + | 0.0333735i | −0.00738748 | + | 0.00355762i | ||||
\(89\) | 3.24641 | + | 4.07086i | 0.344118 | + | 0.431511i | 0.923531 | − | 0.383523i | \(-0.125289\pi\) |
−0.579413 | + | 0.815034i | \(0.696718\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.74055 | + | 3.59156i | 1.02109 | + | 0.376498i | ||||
\(92\) | −2.44569 | − | 5.07852i | −0.254980 | − | 0.529472i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −8.55259 | + | 1.95207i | −0.882132 | + | 0.201341i | ||||
\(95\) | 0.189595 | − | 0.393698i | 0.0194520 | − | 0.0403926i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 13.6406i | 1.38499i | 0.721422 | + | 0.692496i | \(0.243489\pi\) | ||||
−0.721422 | + | 0.692496i | \(0.756511\pi\) | |||||||
\(98\) | 12.7595 | + | 0.425217i | 1.28890 | + | 0.0429534i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.12917 | − | 5.17782i | 0.412917 | − | 0.517782i | ||||
\(101\) | −14.6900 | − | 7.07432i | −1.46171 | − | 0.703921i | −0.477124 | − | 0.878836i | \(-0.658321\pi\) |
−0.984584 | + | 0.174915i | \(0.944035\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.01021 | + | 12.4803i | −0.592204 | + | 1.22972i | 0.362449 | + | 0.932004i | \(0.381941\pi\) |
−0.954653 | + | 0.297720i | \(0.903774\pi\) | |||||||
\(104\) | 4.34422 | − | 2.09207i | 0.425986 | − | 0.205144i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.166020 | + | 0.0799508i | 0.0161252 | + | 0.00776551i | ||||
\(107\) | 4.53315 | − | 3.61507i | 0.438236 | − | 0.349482i | −0.379384 | − | 0.925239i | \(-0.623864\pi\) |
0.817620 | + | 0.575758i | \(0.195293\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.20144 | + | 1.50656i | −0.115077 | + | 0.144302i | −0.836034 | − | 0.548678i | \(-0.815131\pi\) |
0.720957 | + | 0.692980i | \(0.243703\pi\) | |||||||
\(110\) | −0.00203100 | + | 0.00889837i | −0.000193648 | + | 0.000848427i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 9.30625 | − | 9.00128i | 0.879358 | − | 0.850541i | ||||
\(113\) | 4.97507 | − | 3.96749i | 0.468015 | − | 0.373230i | −0.360900 | − | 0.932605i | \(-0.617530\pi\) |
0.828915 | + | 0.559375i | \(0.188959\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.331285 | + | 0.0756136i | 0.0308925 | + | 0.00705101i | ||||
\(116\) | − | 11.9815i | − | 1.11245i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −6.95721 | − | 1.58794i | −0.640463 | − | 0.146181i | ||||
\(119\) | 0.453195 | + | 4.72892i | 0.0415444 | + | 0.433499i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.44686 | − | 10.7204i | −0.222442 | − | 0.974581i | ||||
\(122\) | −3.73554 | − | 4.68421i | −0.338200 | − | 0.424089i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 8.26066 | − | 1.88544i | 0.741829 | − | 0.169318i | ||||
\(125\) | 0.177793 | + | 0.778961i | 0.0159023 | + | 0.0696724i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.40561 | + | 10.5397i | −0.213463 | + | 0.935244i | 0.748730 | + | 0.662876i | \(0.230664\pi\) |
−0.962193 | + | 0.272369i | \(0.912193\pi\) | |||||||
\(128\) | − | 9.27270i | − | 0.819598i | ||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.127316 | − | 0.557808i | 0.0111664 | − | 0.0489230i | ||||
\(131\) | 2.76634 | − | 1.33220i | 0.241697 | − | 0.116395i | −0.309115 | − | 0.951025i | \(-0.600033\pi\) |
0.550811 | + | 0.834630i | \(0.314318\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.54798 | + | 13.7266i | 0.394360 | + | 1.19025i | ||||
\(134\) | −18.5661 | − | 14.8060i | −1.60387 | − | 1.27904i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.72504 | + | 1.37567i | 0.147921 | + | 0.117963i | ||||
\(137\) | 0.739039 | + | 1.53463i | 0.0631404 | + | 0.131112i | 0.930151 | − | 0.367178i | \(-0.119676\pi\) |
−0.867011 | + | 0.498290i | \(0.833962\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.50183 | + | 9.34815i | −0.381840 | + | 0.792900i | 0.618136 | + | 0.786071i | \(0.287888\pi\) |
−0.999977 | + | 0.00682869i | \(0.997826\pi\) | |||||||
\(140\) | −0.0267626 | − | 0.279257i | −0.00226185 | − | 0.0236015i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.00167 | − | 2.40868i | −0.419731 | − | 0.202132i | ||||
\(143\) | −0.0546546 | − | 0.239458i | −0.00457045 | − | 0.0200244i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.564711 | + | 0.450342i | 0.0468967 | + | 0.0373989i | ||||
\(146\) | 0.679018 | 0.0561959 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.29651 | 0.188772 | ||||||||
\(149\) | 15.6797 | + | 12.5041i | 1.28453 | + | 1.02438i | 0.997795 | + | 0.0663657i | \(0.0211404\pi\) |
0.286732 | + | 0.958011i | \(0.407431\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.43375 | − | 10.6629i | −0.198056 | − | 0.867738i | −0.972093 | − | 0.234598i | \(-0.924623\pi\) |
0.774037 | − | 0.633140i | \(-0.218234\pi\) | |||||||
\(152\) | 6.05103 | + | 2.91402i | 0.490803 | + | 0.236358i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.156414 | − | 0.258386i | −0.0126042 | − | 0.0208214i | ||||
\(155\) | −0.221624 | + | 0.460208i | −0.0178013 | + | 0.0369648i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.34186 | + | 4.86291i | 0.186900 | + | 0.388103i | 0.973273 | − | 0.229649i | \(-0.0737579\pi\) |
−0.786373 | + | 0.617752i | \(0.788044\pi\) | |||||||
\(158\) | 14.6662 | + | 11.6959i | 1.16678 | + | 0.930476i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.404253 | − | 0.322381i | −0.0319590 | − | 0.0254865i | ||||
\(161\) | −9.61969 | + | 5.82325i | −0.758137 | + | 0.458936i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.10485 | − | 0.532066i | 0.0865382 | − | 0.0416746i | −0.390114 | − | 0.920767i | \(-0.627564\pi\) |
0.476652 | + | 0.879092i | \(0.341850\pi\) | |||||||
\(164\) | −1.99236 | + | 8.72909i | −0.155577 | + | 0.681628i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | − | 30.8087i | − | 2.39122i | ||||||
\(167\) | 4.81868 | − | 21.1120i | 0.372881 | − | 1.63370i | −0.345764 | − | 0.938321i | \(-0.612380\pi\) |
0.718645 | − | 0.695377i | \(-0.244763\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.533339 | + | 2.33671i | 0.0410260 | + | 0.179747i | ||||
\(170\) | 0.255251 | − | 0.0582594i | 0.0195769 | − | 0.00446829i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.65125 | + | 2.07061i | 0.125907 | + | 0.157882i | ||||
\(173\) | 3.33599 | + | 14.6159i | 0.253630 | + | 1.11123i | 0.927926 | + | 0.372765i | \(0.121590\pi\) |
−0.674295 | + | 0.738462i | \(0.735553\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −11.0682 | − | 7.21448i | −0.836674 | − | 0.545363i | ||||
\(176\) | −0.298634 | − | 0.0681613i | −0.0225104 | − | 0.00513785i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 9.49620i | 0.711770i | ||||||||
\(179\) | 3.72363 | + | 0.849895i | 0.278317 | + | 0.0635241i | 0.359401 | − | 0.933183i | \(-0.382981\pi\) |
−0.0810837 | + | 0.996707i | \(0.525838\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 14.2509 | − | 11.3647i | 1.05926 | − | 0.844730i | 0.0709924 | − | 0.997477i | \(-0.477383\pi\) |
0.988265 | + | 0.152747i | \(0.0488120\pi\) | |||||||
\(182\) | 9.80503 | + | 16.1974i | 0.726797 | + | 1.20063i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.16216 | + | 5.09176i | −0.0856756 | + | 0.375369i | ||||
\(185\) | −0.0863178 | + | 0.108239i | −0.00634621 | + | 0.00795790i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.0878723 | − | 0.0700758i | 0.00642586 | − | 0.00512445i | ||||
\(188\) | −5.74749 | − | 2.76784i | −0.419178 | − | 0.201866i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.718025 | − | 0.345783i | 0.0520910 | − | 0.0250857i | ||||
\(191\) | 2.12895 | − | 4.42080i | 0.154045 | − | 0.319878i | −0.809637 | − | 0.586932i | \(-0.800336\pi\) |
0.963682 | + | 0.267054i | \(0.0860501\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.0963446 | − | 0.0463971i | −0.00693503 | − | 0.00333974i | 0.430413 | − | 0.902632i | \(-0.358368\pi\) |
−0.437348 | + | 0.899292i | \(0.644082\pi\) | |||||||
\(194\) | −15.5110 | + | 19.4501i | −1.11362 | + | 1.39644i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.06141 | + | 6.02678i | 0.504386 | + | 0.430484i | ||||
\(197\) | 27.0265i | 1.92556i | 0.270294 | + | 0.962778i | \(0.412879\pi\) | ||||
−0.270294 | + | 0.962778i | \(0.587121\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.33989 | + | 6.93534i | −0.236758 | + | 0.491633i | −0.985166 | − | 0.171606i | \(-0.945104\pi\) |
0.748408 | + | 0.663239i | \(0.230819\pi\) | |||||||
\(200\) | −5.98238 | + | 1.36544i | −0.423018 | + | 0.0965512i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −12.9021 | − | 26.7915i | −0.907790 | − | 1.88504i | ||||
\(203\) | −23.7934 | + | 2.28023i | −1.66997 | + | 0.160041i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.336533 | − | 0.421999i | −0.0235045 | − | 0.0294737i | ||||
\(206\) | −22.7616 | + | 10.9614i | −1.58587 | + | 0.763717i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 18.7203 | + | 4.27280i | 1.29802 | + | 0.296265i | ||||
\(209\) | 0.213306 | − | 0.267477i | 0.0147547 | − | 0.0185018i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.5551 | − | 13.2356i | −0.726641 | − | 0.911179i | 0.272052 | − | 0.962283i | \(-0.412298\pi\) |
−0.998693 | + | 0.0511032i | \(0.983726\pi\) | |||||||
\(212\) | 0.0581388 | + | 0.120726i | 0.00399299 | + | 0.00829152i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 10.5746 | 0.722863 | ||||||||
\(215\) | −0.159656 | −0.0108885 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.31630 | − | 16.0455i | −0.360894 | − | 1.08924i | ||||
\(218\) | −3.42627 | + | 0.782023i | −0.232056 | + | 0.0529653i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.00518913 | + | 0.00413819i | −0.000349851 | + | 0.000278997i | ||||
\(221\) | −5.50841 | + | 4.39281i | −0.370536 | + | 0.295493i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −18.1221 | + | 4.13624i | −1.21354 | + | 0.276983i | −0.780943 | − | 0.624602i | \(-0.785261\pi\) |
−0.432600 | + | 0.901586i | \(0.642404\pi\) | |||||||
\(224\) | 17.0327 | − | 1.63233i | 1.13804 | − | 0.109064i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 11.6055 | 0.771983 | ||||||||
\(227\) | 10.6354 | 0.705899 | 0.352950 | − | 0.935642i | \(-0.385179\pi\) | ||||
0.352950 | + | 0.935642i | \(0.385179\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.60218 | + | 13.7096i | 0.436285 | + | 0.905954i | 0.996960 | + | 0.0779185i | \(0.0248274\pi\) |
−0.560675 | + | 0.828036i | \(0.689458\pi\) | |||||||
\(230\) | 0.386398 | + | 0.484528i | 0.0254783 | + | 0.0319488i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.92163 | + | 8.67945i | −0.454427 | + | 0.569834i | ||||
\(233\) | 27.6145 | + | 6.30283i | 1.80908 | + | 0.412912i | 0.987558 | − | 0.157258i | \(-0.0502653\pi\) |
0.821527 | + | 0.570169i | \(0.193122\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.346481 | − | 0.166857i | 0.0226019 | − | 0.0108845i | ||||
\(236\) | −3.23545 | − | 4.05713i | −0.210610 | − | 0.264096i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −4.73113 | + | 7.25831i | −0.306673 | + | 0.470486i | ||||
\(239\) | 4.08821 | + | 8.48926i | 0.264444 | + | 0.549125i | 0.990337 | − | 0.138684i | \(-0.0442872\pi\) |
−0.725892 | + | 0.687808i | \(0.758573\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 17.7669 | − | 4.05517i | 1.14446 | − | 0.261216i | 0.392074 | − | 0.919934i | \(-0.371758\pi\) |
0.752390 | + | 0.658717i | \(0.228901\pi\) | |||||||
\(242\) | 8.70137 | − | 18.0686i | 0.559345 | − | 1.16149i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 4.35679i | − | 0.278915i | ||||||
\(245\) | −0.549467 | + | 0.106292i | −0.0351042 | + | 0.00679078i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −13.3714 | + | 16.7672i | −0.850802 | + | 1.06687i | ||||
\(248\) | −7.07326 | − | 3.40630i | −0.449153 | − | 0.216301i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.632256 | + | 1.31289i | −0.0399874 | + | 0.0830347i | ||||
\(251\) | −18.9959 | + | 9.14794i | −1.19901 | + | 0.577413i | −0.923393 | − | 0.383855i | \(-0.874596\pi\) |
−0.275617 | + | 0.961268i | \(0.588882\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.239695 | + | 0.115431i | 0.0150695 | + | 0.00725708i | ||||
\(254\) | −15.4150 | + | 12.2931i | −0.967224 | + | 0.771335i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 13.0478 | − | 16.3614i | 0.815489 | − | 1.02259i | ||||
\(257\) | 4.03415 | − | 17.6748i | 0.251644 | − | 1.10252i | −0.678290 | − | 0.734794i | \(-0.737279\pi\) |
0.929933 | − | 0.367728i | \(-0.119864\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.437056 | − | 4.56051i | −0.0271574 | − | 0.283376i | ||||
\(260\) | 0.325289 | − | 0.259409i | 0.0201735 | − | 0.0160879i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 5.45940 | + | 1.24607i | 0.337283 | + | 0.0769826i | ||||
\(263\) | − | 19.8437i | − | 1.22361i | −0.791007 | − | 0.611807i | \(-0.790443\pi\) | ||
0.791007 | − | 0.611807i | \(-0.209557\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.00787530 | − | 0.00179749i | −0.000483776 | − | 0.000110419i | ||||
\(266\) | −9.12382 | + | 24.7444i | −0.559417 | + | 1.51718i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.84257 | − | 16.8354i | −0.234722 | − | 1.02839i | ||||
\(269\) | 12.2821 | + | 15.4012i | 0.748852 | + | 0.939030i | 0.999579 | − | 0.0290276i | \(-0.00924106\pi\) |
−0.250727 | + | 0.968058i | \(0.580670\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −10.3442 | + | 2.36100i | −0.628365 | + | 0.143420i | −0.524832 | − | 0.851206i | \(-0.675872\pi\) |
−0.103533 | + | 0.994626i | \(0.533015\pi\) | |||||||
\(272\) | 1.95522 | + | 8.56637i | 0.118552 | + | 0.519412i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.691259 | + | 3.02861i | −0.0417605 | + | 0.182965i | ||||
\(275\) | 0.312576i | 0.0188490i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.67833 | − | 11.7345i | 0.160925 | − | 0.705059i | −0.828497 | − | 0.559994i | \(-0.810804\pi\) |
0.989422 | − | 0.145066i | \(-0.0463393\pi\) | |||||||
\(278\) | −17.0491 | + | 8.21042i | −1.02254 | + | 0.492428i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.141938 | + | 0.217756i | −0.00848242 | + | 0.0130134i | ||||
\(281\) | 12.8009 | + | 10.2084i | 0.763638 | + | 0.608981i | 0.925901 | − | 0.377766i | \(-0.123308\pi\) |
−0.162263 | + | 0.986748i | \(0.551879\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.21849 | + | 3.36413i | 0.250763 | + | 0.199977i | 0.740802 | − | 0.671724i | \(-0.234446\pi\) |
−0.490038 | + | 0.871701i | \(0.663017\pi\) | |||||||
\(284\) | −1.75155 | − | 3.63713i | −0.103935 | − | 0.215824i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.194359 | − | 0.403591i | 0.0114927 | − | 0.0238649i | ||||
\(287\) | 17.7138 | + | 2.29525i | 1.04561 | + | 0.135484i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 12.4117 | + | 5.97718i | 0.730102 | + | 0.351599i | ||||
\(290\) | 0.293130 | + | 1.28429i | 0.0172132 | + | 0.0754159i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.386044 | + | 0.307860i | 0.0225915 | + | 0.0180162i | ||||
\(293\) | 5.02608 | 0.293627 | 0.146813 | − | 0.989164i | \(-0.453098\pi\) | ||||
0.146813 | + | 0.989164i | \(0.453098\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.312829 | 0.0182136 | ||||||||
\(296\) | −1.66360 | − | 1.32668i | −0.0966951 | − | 0.0771117i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 8.13899 | + | 35.6592i | 0.471479 | + | 2.06568i | ||||
\(299\) | −15.0256 | − | 7.23597i | −0.868955 | − | 0.418467i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.79764 | − | 3.67319i | 0.218892 | − | 0.211719i | ||||
\(302\) | 8.65475 | − | 17.9718i | 0.498025 | − | 1.03416i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 11.6046 | + | 24.0973i | 0.665572 | + | 1.38207i | ||||
\(305\) | 0.205344 | + | 0.163756i | 0.0117580 | + | 0.00937666i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 21.7077 | + | 17.3113i | 1.23892 | + | 0.988007i | 0.999855 | + | 0.0170033i | \(0.00541258\pi\) |
0.239066 | + | 0.971003i | \(0.423159\pi\) | |||||||
\(308\) | 0.0282236 | − | 0.217818i | 0.00160819 | − | 0.0124113i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.839325 | + | 0.404198i | −0.0476704 | + | 0.0229569i | ||||
\(311\) | 7.38544 | − | 32.3577i | 0.418790 | − | 1.83484i | −0.120492 | − | 0.992714i | \(-0.538447\pi\) |
0.539282 | − | 0.842125i | \(-0.318696\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 21.9941i | − | 1.24318i | −0.783344 | − | 0.621589i | \(-0.786488\pi\) | ||
0.783344 | − | 0.621589i | \(-0.213512\pi\) | |||||||
\(314\) | −2.19045 | + | 9.59700i | −0.123614 | + | 0.541590i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.03542 | + | 13.2990i | 0.170756 | + | 0.748129i | ||||
\(317\) | 32.1185 | − | 7.33084i | 1.80395 | − | 0.411741i | 0.817520 | − | 0.575900i | \(-0.195348\pi\) |
0.986434 | + | 0.164159i | \(0.0524911\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.352584 | + | 0.442126i | 0.0197409 | + | 0.0247543i | ||||
\(320\) | −0.0357198 | − | 0.156499i | −0.00199680 | − | 0.00874855i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −20.3384 | − | 2.63534i | −1.13342 | − | 0.146862i | ||||
\(323\) | −9.56760 | − | 2.18374i | −0.532355 | − | 0.121507i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | − | 19.5943i | − | 1.08690i | ||||||
\(326\) | 2.18042 | + | 0.497667i | 0.120762 | + | 0.0275632i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 6.48601 | − | 5.17242i | 0.358130 | − | 0.285599i | ||||
\(329\) | −4.40268 | + | 11.9404i | −0.242727 | + | 0.658293i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −6.11936 | + | 26.8107i | −0.336350 | + | 1.47365i | 0.470241 | + | 0.882538i | \(0.344167\pi\) |
−0.806591 | + | 0.591109i | \(0.798690\pi\) | |||||||
\(332\) | 13.9684 | − | 17.5158i | 0.766614 | − | 0.961304i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 30.8778 | − | 24.6243i | 1.68956 | − | 1.34738i | ||||
\(335\) | 0.937914 | + | 0.451675i | 0.0512437 | + | 0.0246777i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −16.9593 | + | 8.16718i | −0.923834 | + | 0.444895i | −0.834438 | − | 0.551101i | \(-0.814208\pi\) |
−0.0893953 | + | 0.995996i | \(0.528493\pi\) | |||||||
\(338\) | −1.89663 | + | 3.93838i | −0.103163 | + | 0.214220i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.171533 | + | 0.0826060i | 0.00930269 | + | 0.00447994i | ||||
\(341\) | −0.249341 | + | 0.312663i | −0.0135025 | + | 0.0169317i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 10.6244 | − | 15.1698i | 0.573661 | − | 0.819093i | ||||
\(344\) | − | 2.45388i | − | 0.132304i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −11.8632 | + | 24.6342i | −0.637771 | + | 1.32435i | ||||
\(347\) | 6.86589 | − | 1.56709i | 0.368580 | − | 0.0841260i | −0.0342191 | − | 0.999414i | \(-0.510894\pi\) |
0.402799 | + | 0.915288i | \(0.368037\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −12.1607 | − | 25.2520i | −0.650947 | − | 1.35171i | −0.921265 | − | 0.388935i | \(-0.872843\pi\) |
0.270318 | − | 0.962771i | \(-0.412871\pi\) | |||||||
\(350\) | −7.57839 | − | 22.8729i | −0.405082 | − | 1.22261i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.252400 | − | 0.316500i | −0.0134530 | − | 0.0168695i | ||||
\(353\) | 22.4618 | − | 10.8170i | 1.19552 | − | 0.575732i | 0.273124 | − | 0.961979i | \(-0.411943\pi\) |
0.922395 | + | 0.386247i | \(0.126229\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.237259 | + | 0.0541529i | 0.0125924 | + | 0.00287414i | ||||
\(356\) | −4.30548 | + | 5.39891i | −0.228190 | + | 0.286141i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 4.34310 | + | 5.44608i | 0.229540 | + | 0.287834i | ||||
\(359\) | −4.16953 | − | 8.65812i | −0.220059 | − | 0.456958i | 0.761487 | − | 0.648180i | \(-0.224469\pi\) |
−0.981547 | + | 0.191221i | \(0.938755\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.8720 | −0.572212 | ||||||||
\(362\) | 33.2433 | 1.74723 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.76924 | + | 13.6543i | −0.0927334 | + | 0.715677i | ||||
\(365\) | −0.0290201 | + | 0.00662364i | −0.00151898 | + | 0.000346697i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 16.2513 | − | 12.9600i | 0.848310 | − | 0.676505i | −0.0996053 | − | 0.995027i | \(-0.531758\pi\) |
0.947915 | + | 0.318522i | \(0.103187\pi\) | |||||||
\(368\) | −16.2610 | + | 12.9677i | −0.847663 | + | 0.675989i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.246161 | + | 0.0561847i | −0.0127973 | + | 0.00292090i | ||||
\(371\) | 0.228679 | − | 0.138430i | 0.0118724 | − | 0.00718694i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 23.7079 | 1.22755 | 0.613774 | − | 0.789482i | \(-0.289650\pi\) | ||||
0.613774 | + | 0.789482i | \(0.289650\pi\) | |||||||
\(374\) | 0.204982 | 0.0105993 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 2.56454 | + | 5.32532i | 0.132256 | + | 0.274633i | ||||
\(377\) | −22.1023 | − | 27.7154i | −1.13832 | − | 1.42741i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −17.2796 | + | 21.6679i | −0.887594 | + | 1.11301i | 0.105352 | + | 0.994435i | \(0.466403\pi\) |
−0.992945 | + | 0.118572i | \(0.962168\pi\) | |||||||
\(380\) | 0.564996 | + | 0.128957i | 0.0289837 | + | 0.00661533i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 8.06264 | − | 3.88276i | 0.412521 | − | 0.198659i | ||||
\(383\) | −22.3799 | − | 28.0635i | −1.14356 | − | 1.43398i | −0.883527 | − | 0.468380i | \(-0.844838\pi\) |
−0.260033 | − | 0.965600i | \(-0.583733\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.00920535 | + | 0.00951723i | 0.000469148 | + | 0.000485043i | ||||
\(386\) | −0.0846188 | − | 0.175713i | −0.00430699 | − | 0.00894355i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −17.6370 | + | 4.02553i | −0.895384 | + | 0.204365i | ||||
\(389\) | 7.63642 | − | 15.8572i | 0.387182 | − | 0.803992i | −0.612724 | − | 0.790297i | \(-0.709926\pi\) |
0.999906 | − | 0.0136948i | \(-0.00435933\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 7.63143i | − | 0.385938i | ||||||
\(392\) | −1.63369 | − | 8.44515i | −0.0825136 | − | 0.426545i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −30.7323 | + | 38.5371i | −1.54827 | + | 1.94147i | ||||
\(395\) | −0.740899 | − | 0.356798i | −0.0372787 | − | 0.0179525i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.96807 | + | 18.6224i | −0.450094 | + | 0.934630i | 0.545252 | + | 0.838272i | \(0.316434\pi\) |
−0.995347 | + | 0.0963585i | \(0.969280\pi\) | |||||||
\(398\) | −12.6487 | + | 6.09127i | −0.634020 | + | 0.305328i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −22.0166 | − | 10.6026i | −1.10083 | − | 0.530132i | ||||
\(401\) | −29.6733 | + | 23.6636i | −1.48181 | + | 1.18171i | −0.541827 | + | 0.840490i | \(0.682267\pi\) |
−0.939985 | + | 0.341216i | \(0.889161\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 15.6303 | − | 19.5998i | 0.778601 | − | 0.976335i | ||||
\(404\) | 4.81173 | − | 21.0816i | 0.239393 | − | 1.04885i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −36.5199 | − | 23.8045i | −1.81245 | − | 1.18140i | ||||
\(407\) | −0.0847430 | + | 0.0675803i | −0.00420055 | + | 0.00334983i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.32746 | + | 0.987715i | 0.213979 | + | 0.0488394i | 0.328167 | − | 0.944620i | \(-0.393569\pi\) |
−0.114187 | + | 0.993459i | \(0.536426\pi\) | |||||||
\(410\) | − | 0.984407i | − | 0.0486164i | ||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −17.9105 | − | 4.08796i | −0.882388 | − | 0.201399i | ||||
\(413\) | −7.44106 | + | 7.19722i | −0.366151 | + | 0.354152i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.300531 | + | 1.31671i | 0.0147525 | + | 0.0646349i | ||||
\(416\) | 15.8221 | + | 19.8403i | 0.775742 | + | 0.972750i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.608306 | − | 0.138842i | 0.0297532 | − | 0.00679097i | ||||
\(419\) | 6.17213 | + | 27.0419i | 0.301528 | + | 1.32108i | 0.867820 | + | 0.496878i | \(0.165520\pi\) |
−0.566292 | + | 0.824205i | \(0.691623\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.22091 | − | 5.34915i | 0.0595035 | − | 0.260702i | −0.936423 | − | 0.350874i | \(-0.885885\pi\) |
0.995926 | + | 0.0901721i | \(0.0287417\pi\) | |||||||
\(422\) | − | 30.8751i | − | 1.50298i | ||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.0276269 | − | 0.121041i | 0.00134168 | − | 0.00587828i | ||||
\(425\) | 8.07834 | − | 3.89032i | 0.391857 | − | 0.188708i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −8.65189 | + | 0.829153i | −0.418694 | + | 0.0401255i | ||||
\(428\) | 6.01200 | + | 4.79441i | 0.290601 | + | 0.231747i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.227654 | − | 0.181548i | −0.0109785 | − | 0.00875503i | ||||
\(431\) | −9.97595 | − | 20.7153i | −0.480525 | − | 0.997819i | −0.990485 | − | 0.137622i | \(-0.956054\pi\) |
0.509960 | − | 0.860198i | \(-0.329660\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.52920 | + | 5.25193i | −0.121545 | + | 0.252392i | −0.952860 | − | 0.303411i | \(-0.901875\pi\) |
0.831314 | + | 0.555802i | \(0.187589\pi\) | |||||||
\(434\) | 10.6652 | − | 28.9246i | 0.511944 | − | 1.38843i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.30251 | − | 1.10883i | −0.110270 | − | 0.0531033i | ||||
\(437\) | −5.16906 | − | 22.6471i | −0.247270 | − | 1.08336i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −21.0324 | − | 16.7728i | −1.00382 | − | 0.800522i | −0.0238631 | − | 0.999715i | \(-0.507597\pi\) |
−0.979960 | + | 0.199193i | \(0.936168\pi\) | |||||||
\(440\) | 0.00614963 | 0.000293172 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −12.8496 | −0.611193 | ||||||||
\(443\) | 7.69731 | + | 6.13840i | 0.365710 | + | 0.291644i | 0.789053 | − | 0.614325i | \(-0.210572\pi\) |
−0.423342 | + | 0.905970i | \(0.639143\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.0926330 | − | 0.405851i | −0.00439122 | − | 0.0192392i | ||||
\(446\) | −30.5437 | − | 14.7091i | −1.44628 | − | 0.696494i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 4.45019 | + | 2.90073i | 0.210252 | + | 0.137047i | ||||
\(449\) | −7.61349 | + | 15.8096i | −0.359303 | + | 0.746100i | −0.999760 | − | 0.0218939i | \(-0.993030\pi\) |
0.640458 | + | 0.767993i | \(0.278745\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.183354 | − | 0.380739i | −0.00863383 | − | 0.0179283i | ||||
\(452\) | 6.59809 | + | 5.26180i | 0.310348 | + | 0.247494i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 15.1651 | + | 12.0938i | 0.711733 | + | 0.567588i | ||||
\(455\) | −0.577052 | − | 0.596603i | −0.0270526 | − | 0.0279692i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 15.7239 | − | 7.57225i | 0.735535 | − | 0.354215i | −0.0283235 | − | 0.999599i | \(-0.509017\pi\) |
0.763858 | + | 0.645384i | \(0.223303\pi\) | |||||||
\(458\) | −6.17535 | + | 27.0560i | −0.288555 | + | 1.26424i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.450659i | 0.0210121i | ||||||||
\(461\) | −0.302478 | + | 1.32524i | −0.0140878 | + | 0.0617227i | −0.981483 | − | 0.191548i | \(-0.938649\pi\) |
0.967395 | + | 0.253271i | \(0.0815064\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.63599 | − | 20.3116i | −0.215453 | − | 0.943961i | −0.960791 | − | 0.277274i | \(-0.910569\pi\) |
0.745338 | − | 0.666687i | \(-0.232288\pi\) | |||||||
\(464\) | −43.1013 | + | 9.83760i | −2.00093 | + | 0.456699i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 32.2085 | + | 40.3881i | 1.49203 | + | 1.87094i | ||||
\(467\) | 4.83052 | + | 21.1639i | 0.223530 | + | 0.979349i | 0.954797 | + | 0.297258i | \(0.0960721\pi\) |
−0.731267 | + | 0.682091i | \(0.761071\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −32.7012 | + | 10.8347i | −1.51000 | + | 0.500302i | ||||
\(470\) | 0.683784 | + | 0.156069i | 0.0315406 | + | 0.00719893i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.80810i | 0.221311i | ||||||||
\(473\) | −0.121865 | − | 0.0278149i | −0.00560335 | − | 0.00127893i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 21.3383 | − | 17.0167i | 0.979069 | − | 0.780781i | ||||
\(476\) | −5.98065 | + | 1.98154i | −0.274123 | + | 0.0908239i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.82390 | + | 16.7536i | −0.174901 | + | 0.766293i | ||||
\(479\) | −0.615662 | + | 0.772016i | −0.0281303 | + | 0.0352743i | −0.795698 | − | 0.605694i | \(-0.792896\pi\) |
0.767567 | + | 0.640968i | \(0.221467\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.31225 | − | 4.23638i | 0.242218 | − | 0.193162i | ||||
\(482\) | 29.9450 | + | 14.4207i | 1.36396 | + | 0.656847i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 13.1391 | − | 6.32748i | 0.597234 | − | 0.287613i | ||||
\(485\) | 0.473182 | − | 0.982572i | 0.0214861 | − | 0.0446163i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −31.5848 | − | 15.2104i | −1.43124 | − | 0.689251i | −0.452016 | − | 0.892010i | \(-0.649295\pi\) |
−0.979229 | + | 0.202759i | \(0.935009\pi\) | |||||||
\(488\) | −2.51689 | + | 3.15608i | −0.113934 | + | 0.142869i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.904352 | − | 0.473246i | −0.0408545 | − | 0.0213791i | ||||
\(491\) | − | 11.8176i | − | 0.533321i | −0.963791 | − | 0.266660i | \(-0.914080\pi\) | ||
0.963791 | − | 0.266660i | \(-0.0859202\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7.03823 | − | 14.6150i | 0.316986 | − | 0.658228i | ||||
\(494\) | −38.1326 | + | 8.70352i | −1.71567 | + | 0.391590i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −13.5651 | − | 28.1682i | −0.609090 | − | 1.26479i | ||||
\(497\) | −6.88942 | + | 4.17049i | −0.309033 | + | 0.187072i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −24.7503 | − | 31.0359i | −1.10798 | − | 1.38936i | −0.912711 | − | 0.408607i | \(-0.866015\pi\) |
−0.195265 | − | 0.980751i | \(-0.562557\pi\) | |||||||
\(500\) | −0.954712 | + | 0.459765i | −0.0426960 | + | 0.0205613i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −37.4886 | − | 8.55652i | −1.67320 | − | 0.381896i | ||||
\(503\) | −2.94170 | + | 3.68878i | −0.131164 | + | 0.164474i | −0.843076 | − | 0.537794i | \(-0.819258\pi\) |
0.711912 | + | 0.702268i | \(0.247829\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.812759 | + | 1.01917i | 0.0361673 | + | 0.0453524i | ||||
\(506\) | 0.210522 | + | 0.437154i | 0.00935886 | + | 0.0194339i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −14.3375 | −0.636124 | ||||||||
\(509\) | −13.6927 | −0.606918 | −0.303459 | − | 0.952845i | \(-0.598142\pi\) | ||||
−0.303459 | + | 0.952845i | \(0.598142\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.537892 | − | 0.825213i | 0.0237950 | − | 0.0365053i | ||||
\(512\) | 19.1294 | − | 4.36616i | 0.845407 | − | 0.192959i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 25.8506 | − | 20.6152i | 1.14022 | − | 0.909297i | ||||
\(515\) | 0.865866 | − | 0.690505i | 0.0381546 | − | 0.0304273i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.293536 | − | 0.0669978i | 0.0129097 | − | 0.00294656i | ||||
\(518\) | 4.56264 | − | 6.99982i | 0.200471 | − | 0.307555i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.385499 | −0.0169053 | ||||||||
\(521\) | 33.0259 | 1.44689 | 0.723446 | − | 0.690381i | \(-0.242557\pi\) | ||||
0.723446 | + | 0.690381i | \(0.242557\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.79046 | + | 3.71793i | 0.0782913 | + | 0.162574i | 0.936440 | − | 0.350827i | \(-0.114100\pi\) |
−0.858149 | + | 0.513401i | \(0.828385\pi\) | |||||||
\(524\) | 2.53890 | + | 3.18368i | 0.110912 | + | 0.139079i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 22.5646 | − | 28.2951i | 0.983863 | − | 1.23373i | ||||
\(527\) | 11.1839 | + | 2.55265i | 0.487179 | + | 0.111195i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −4.44710 | + | 2.14161i | −0.193352 | + | 0.0931136i | ||||
\(530\) | −0.00918544 | − | 0.0115182i | −0.000398990 | − | 0.000500318i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −16.4061 | + | 9.93137i | −0.711293 | + | 0.430579i | ||||
\(533\) | 11.4939 | + | 23.8673i | 0.497855 | + | 1.03381i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.451940 | + | 0.103152i | −0.0195391 | + | 0.00445966i | ||||
\(536\) | −6.94213 | + | 14.4155i | −0.299854 | + | 0.622654i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 35.9268i | 1.54892i | ||||||||
\(539\) | −0.437923 | − | 0.0145940i | −0.0188627 | − | 0.000628609i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.69692 | + | 5.88975i | −0.201936 | + | 0.253220i | −0.872480 | − | 0.488650i | \(-0.837489\pi\) |
0.670544 | + | 0.741870i | \(0.266061\pi\) | |||||||
\(542\) | −17.4345 | − | 8.39603i | −0.748877 | − | 0.360640i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −5.03838 | + | 10.4623i | −0.216019 | + | 0.448567i | ||||
\(545\) | 0.138804 | − | 0.0668447i | 0.00594573 | − | 0.00286331i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.81461 | + | 4.72647i | 0.419642 | + | 0.202089i | 0.631775 | − | 0.775152i | \(-0.282327\pi\) |
−0.212133 | + | 0.977241i | \(0.568041\pi\) | |||||||
\(548\) | −1.76614 | + | 1.40845i | −0.0754460 | + | 0.0601662i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.355435 | + | 0.445702i | −0.0151558 | + | 0.0190048i | ||||
\(551\) | 10.9874 | − | 48.1390i | 0.468079 | − | 2.05079i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 25.8321 | − | 8.55884i | 1.09849 | − | 0.363959i | ||||
\(554\) | 17.1626 | − | 13.6867i | 0.729168 | − | 0.581492i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −13.4155 | − | 3.06200i | −0.568945 | − | 0.129858i | ||||
\(557\) | − | 20.9491i | − | 0.887641i | −0.896116 | − | 0.443821i | \(-0.853623\pi\) | ||
0.896116 | − | 0.443821i | \(-0.146377\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 7.63929 | + | 1.74362i | 0.323108 | + | 0.0737472i | ||||
\(560\) | −0.982604 | + | 0.325562i | −0.0415226 | + | 0.0137575i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 6.64469 | + | 29.1123i | 0.280289 | + | 1.22803i | ||||
\(563\) | 7.84657 | + | 9.83929i | 0.330694 | + | 0.414677i | 0.919185 | − | 0.393827i | \(-0.128849\pi\) |
−0.588491 | + | 0.808504i | \(0.700278\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.495998 | + | 0.113208i | −0.0208668 | + | 0.00476271i | ||||
\(566\) | 2.18973 | + | 9.59384i | 0.0920413 | + | 0.403259i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.832315 | + | 3.64661i | −0.0349231 | + | 0.153008i | ||||
\(569\) | − | 23.8454i | − | 0.999649i | −0.866127 | − | 0.499825i | \(-0.833398\pi\) | ||
0.866127 | − | 0.499825i | \(-0.166602\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.44405 | + | 6.32680i | −0.0604317 | + | 0.264769i | −0.996114 | − | 0.0880756i | \(-0.971928\pi\) |
0.935682 | + | 0.352844i | \(0.114785\pi\) | |||||||
\(572\) | 0.293484 | − | 0.141335i | 0.0122712 | − | 0.00590950i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 22.6481 | + | 23.4154i | 0.945314 | + | 0.977342i | ||||
\(575\) | 16.5934 | + | 13.2328i | 0.691993 | + | 0.551846i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −33.3975 | − | 26.6336i | −1.39036 | − | 1.10877i | −0.980477 | − | 0.196633i | \(-0.936999\pi\) |
−0.409880 | − | 0.912140i | \(-0.634429\pi\) | |||||||
\(578\) | 10.9012 | + | 22.6365i | 0.453428 | + | 0.941553i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.415629 | + | 0.863062i | −0.0172580 | + | 0.0358367i | ||||
\(581\) | −37.4420 | − | 24.4055i | −1.55335 | − | 1.01251i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.00569802 | − | 0.00274402i | −0.000235988 | − | 0.000113646i | ||||
\(584\) | −0.101804 | − | 0.446031i | −0.00421266 | − | 0.0184569i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 7.16670 | + | 5.71525i | 0.296053 | + | 0.236095i | ||||
\(587\) | −15.7350 | −0.649452 | −0.324726 | − | 0.945808i | \(-0.605272\pi\) | ||||
−0.324726 | + | 0.945808i | \(0.605272\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 34.9185 | 1.43879 | ||||||||
\(590\) | 0.446064 | + | 0.355724i | 0.0183641 | + | 0.0146449i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.88559 | − | 8.26130i | −0.0774972 | − | 0.339537i | ||||
\(593\) | 23.1968 | + | 11.1710i | 0.952580 | + | 0.458738i | 0.844590 | − | 0.535414i | \(-0.179844\pi\) |
0.107990 | + | 0.994152i | \(0.465559\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.131397 | − | 0.356359i | 0.00538677 | − | 0.0146093i | ||||
\(596\) | −11.5403 | + | 23.9636i | −0.472708 | + | 0.981588i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −13.1969 | − | 27.4037i | −0.539663 | − | 1.12062i | ||||
\(599\) | 32.7391 | + | 26.1085i | 1.33768 | + | 1.06677i | 0.991707 | + | 0.128522i | \(0.0410233\pi\) |
0.345975 | + | 0.938244i | \(0.387548\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 12.1095 | + | 9.65701i | 0.493957 | + | 0.393918i | 0.838542 | − | 0.544838i | \(-0.183409\pi\) |
−0.344584 | + | 0.938755i | \(0.611980\pi\) | |||||||
\(602\) | 9.59192 | − | 0.919240i | 0.390937 | − | 0.0374654i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 13.0687 | − | 6.29357i | 0.531759 | − | 0.256082i | ||||
\(605\) | −0.195628 | + | 0.857100i | −0.00795339 | + | 0.0348461i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 6.82644i | − | 0.277077i | −0.990357 | − | 0.138538i | \(-0.955760\pi\) | ||
0.990357 | − | 0.138538i | \(-0.0442404\pi\) | |||||||
\(608\) | −7.86543 | + | 34.4607i | −0.318985 | + | 1.39757i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.106590 | + | 0.467000i | 0.00431569 | + | 0.0189083i | ||||
\(611\) | −18.4008 | + | 4.19986i | −0.744417 | + | 0.169908i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5.74752 | + | 7.20716i | 0.232140 | + | 0.291095i | 0.884234 | − | 0.467043i | \(-0.154681\pi\) |
−0.652094 | + | 0.758138i | \(0.726109\pi\) | |||||||
\(614\) | 11.2680 | + | 49.3683i | 0.454739 | + | 1.99234i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.146277 | + | 0.141484i | −0.00589368 | + | 0.00570054i | ||||
\(617\) | 17.3111 | + | 3.95114i | 0.696918 | + | 0.159067i | 0.556281 | − | 0.830994i | \(-0.312228\pi\) |
0.140637 | + | 0.990061i | \(0.455085\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 4.78926i | 0.192497i | 0.995357 | + | 0.0962483i | \(0.0306843\pi\) | ||||
−0.995357 | + | 0.0962483i | \(0.969316\pi\) | |||||||
\(620\) | −0.660444 | − | 0.150742i | −0.0265241 | − | 0.00605394i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 47.3255 | − | 37.7408i | 1.89758 | − | 1.51327i | ||||
\(623\) | 11.5408 | + | 7.52253i | 0.462371 | + | 0.301384i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.54170 | + | 24.2798i | −0.221668 | + | 0.971190i | ||||
\(626\) | 25.0098 | − | 31.3613i | 0.999594 | − | 1.25345i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −5.59653 | + | 4.46309i | −0.223326 | + | 0.178097i | ||||
\(629\) | 2.80129 | + | 1.34903i | 0.111695 | + | 0.0537893i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 18.1773 | − | 8.75372i | 0.723626 | − | 0.348480i | −0.0355476 | − | 0.999368i | \(-0.511318\pi\) |
0.759174 | + | 0.650888i | \(0.225603\pi\) | |||||||
\(632\) | 5.48389 | − | 11.3874i | 0.218138 | − | 0.452967i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 54.1338 | + | 26.0695i | 2.14993 | + | 1.03535i | ||||
\(635\) | 0.538896 | − | 0.675754i | 0.0213854 | − | 0.0268165i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 27.4519 | + | 0.914849i | 1.08768 | + | 0.0362476i | ||||
\(638\) | 1.03136i | 0.0408318i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.321663 | + | 0.667939i | −0.0127148 | + | 0.0264026i | ||||
\(641\) | −40.9493 | + | 9.34640i | −1.61740 | + | 0.369161i | −0.932980 | − | 0.359928i | \(-0.882801\pi\) |
−0.684419 | + | 0.729089i | \(0.739944\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 19.3615 | + | 40.2045i | 0.763541 | + | 1.58551i | 0.809888 | + | 0.586585i | \(0.199528\pi\) |
−0.0463464 | + | 0.998925i | \(0.514758\pi\) | |||||||
\(644\) | −10.3683 | − | 10.7195i | −0.408566 | − | 0.422409i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −11.1593 | − | 13.9933i | −0.439056 | − | 0.550559i | ||||
\(647\) | −23.4669 | + | 11.3011i | −0.922578 | + | 0.444290i | −0.833991 | − | 0.551778i | \(-0.813949\pi\) |
−0.0885873 | + | 0.996068i | \(0.528235\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.238781 | + | 0.0545002i | 0.00937297 | + | 0.00213932i | ||||
\(650\) | 22.2810 | − | 27.9395i | 0.873934 | − | 1.09588i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.01401 | + | 1.27152i | 0.0397115 | + | 0.0497967i | ||||
\(653\) | 1.66044 | + | 3.44795i | 0.0649782 | + | 0.134929i | 0.930929 | − | 0.365201i | \(-0.119000\pi\) |
−0.865950 | + | 0.500130i | \(0.833286\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.245481 | −0.00959173 | ||||||||
\(656\) | 33.0372 | 1.28989 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −19.8554 | + | 12.0194i | −0.774043 | + | 0.468565i | ||||
\(659\) | −10.8991 | + | 2.48764i | −0.424567 | + | 0.0969047i | −0.429465 | − | 0.903083i | \(-0.641298\pi\) |
0.00489821 | + | 0.999988i | \(0.498441\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −25.5622 | + | 20.3852i | −0.994256 | + | 0.792893i | −0.978345 | − | 0.206981i | \(-0.933636\pi\) |
−0.0159108 | + | 0.999873i | \(0.505065\pi\) | |||||||
\(662\) | −39.2125 | + | 31.2709i | −1.52404 | + | 1.21538i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −20.2375 | + | 4.61908i | −0.785368 | + | 0.179255i | ||||
\(665\) | 0.148561 | − | 1.14653i | 0.00576096 | − | 0.0444607i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 38.3972 | 1.48675 | ||||||||
\(668\) | 28.7195 | 1.11119 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.823764 | + | 1.71056i | 0.0318248 | + | 0.0660848i | ||||
\(671\) | 0.128209 | + | 0.160769i | 0.00494944 | + | 0.00620640i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 26.9597 | − | 33.8063i | 1.03922 | − | 1.30314i | 0.0875005 | − | 0.996164i | \(-0.472112\pi\) |
0.951718 | − | 0.306974i | \(-0.0993165\pi\) | |||||||
\(674\) | −33.4694 | − | 7.63917i | −1.28919 | − | 0.294250i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2.86392 | + | 1.37919i | −0.110151 | + | 0.0530458i | ||||
\(677\) | 6.81052 | + | 8.54012i | 0.261750 | + | 0.328224i | 0.895288 | − | 0.445488i | \(-0.146970\pi\) |
−0.633539 | + | 0.773711i | \(0.718398\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 11.3506 | + | 34.2582i | 0.435597 | + | 1.31471i | ||||
\(680\) | −0.0765385 | − | 0.158934i | −0.00293512 | − | 0.00609483i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.711070 | + | 0.162297i | −0.0272283 | + | 0.00621468i | ||||
\(683\) | −0.211166 | + | 0.438491i | −0.00808005 | + | 0.0167784i | −0.904970 | − | 0.425476i | \(-0.860107\pi\) |
0.896890 | + | 0.442254i | \(0.145821\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 0.136181i | − | 0.00520319i | ||||||
\(686\) | 32.3991 | − | 9.54951i | 1.23700 | − | 0.364602i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 6.09285 | − | 7.64020i | 0.232288 | − | 0.291280i | ||||
\(689\) | 0.357189 | + | 0.172013i | 0.0136078 | + | 0.00655318i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −13.8343 | + | 28.7273i | −0.526283 | + | 1.09284i | 0.453219 | + | 0.891399i | \(0.350276\pi\) |
−0.979501 | + | 0.201438i | \(0.935439\pi\) | |||||||
\(692\) | −17.9136 | + | 8.62672i | −0.680972 | + | 0.327939i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 11.5721 | + | 5.57281i | 0.439269 | + | 0.211541i | ||||
\(695\) | 0.648560 | − | 0.517209i | 0.0246013 | − | 0.0196189i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −7.55796 | + | 9.47739i | −0.286278 | + | 0.358982i | ||||
\(698\) | 11.3745 | − | 49.8349i | 0.430531 | − | 1.88628i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 6.06180 | − | 16.4400i | 0.229114 | − | 0.621374i | ||||
\(701\) | −18.2624 | + | 14.5638i | −0.689762 | + | 0.550067i | −0.904431 | − | 0.426620i | \(-0.859704\pi\) |
0.214669 | + | 0.976687i | \(0.431133\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 9.22688 | + | 2.10597i | 0.347998 | + | 0.0794283i | ||||
\(704\) | − | 0.125678i | − | 0.00473666i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 44.3285 | + | 10.1177i | 1.66832 | + | 0.380784i | ||||
\(707\) | −42.7804 | − | 5.54324i | −1.60892 | − | 0.208475i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −8.46035 | − | 37.0672i | −0.317735 | − | 1.39209i | −0.841514 | − | 0.540235i | \(-0.818336\pi\) |
0.523779 | − | 0.851854i | \(-0.324522\pi\) | |||||||
\(710\) | 0.276730 | + | 0.347008i | 0.0103855 | + | 0.0130230i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 6.23782 | − | 1.42374i | 0.233772 | − | 0.0533570i | ||||
\(713\) | 6.04229 | + | 26.4730i | 0.226286 | + | 0.991422i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.00436966 | + | 0.0191447i | −0.000163416 | + | 0.000715973i | ||||
\(716\) | 5.06540i | 0.189303i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 3.89997 | − | 17.0869i | 0.145545 | − | 0.637676i | ||||
\(719\) | 26.8474 | − | 12.9290i | 1.00124 | − | 0.482171i | 0.139880 | − | 0.990168i | \(-0.455328\pi\) |
0.861359 | + | 0.507997i | \(0.169614\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −4.70943 | + | 36.3454i | −0.175389 | + | 1.35358i | ||||
\(722\) | −15.5024 | − | 12.3628i | −0.576941 | − | 0.460095i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 18.8999 | + | 15.0722i | 0.702410 | + | 0.560154i | ||||
\(725\) | 19.5740 | + | 40.6458i | 0.726960 | + | 1.50955i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −13.4164 | + | 27.8594i | −0.497586 | + | 1.03325i | 0.489343 | + | 0.872091i | \(0.337237\pi\) |
−0.986929 | + | 0.161156i | \(0.948478\pi\) | |||||||
\(728\) | 9.16962 | − | 8.86912i | 0.339849 | − | 0.328712i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.0489116 | − | 0.0235546i | −0.00181030 | − | 0.000871795i | ||||
\(731\) | 0.797874 | + | 3.49571i | 0.0295104 | + | 0.129294i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −11.7287 | − | 9.35330i | −0.433208 | − | 0.345472i | 0.382480 | − | 0.923964i | \(-0.375070\pi\) |
−0.815688 | + | 0.578492i | \(0.803641\pi\) | |||||||
\(734\) | 37.9097 | 1.39927 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −27.4870 | −1.01318 | ||||||||
\(737\) | 0.637215 | + | 0.508162i | 0.0234721 | + | 0.0187184i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 7.06950 | + | 30.9735i | 0.260056 | + | 1.13938i | 0.921191 | + | 0.389112i | \(0.127218\pi\) |
−0.661135 | + | 0.750267i | \(0.729925\pi\) | |||||||
\(740\) | −0.165425 | − | 0.0796643i | −0.00608113 | − | 0.00292852i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.483485 | + | 0.0626472i | 0.0177493 | + | 0.00229985i | ||||
\(743\) | 9.78269 | − | 20.3140i | 0.358892 | − | 0.745247i | −0.640857 | − | 0.767660i | \(-0.721421\pi\) |
0.999749 | + | 0.0224137i | \(0.00713508\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.695693 | − | 1.44462i | −0.0254882 | − | 0.0529269i | ||||
\(746\) | 33.8051 | + | 26.9587i | 1.23769 | + | 0.987027i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.116539 | + | 0.0929367i | 0.00426109 | + | 0.00339810i | ||||
\(749\) | 8.37678 | − | 12.8513i | 0.306081 | − | 0.469577i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.53737 | − | 1.70351i | 0.129081 | − | 0.0621620i | −0.368229 | − | 0.929735i | \(-0.620036\pi\) |
0.497309 | + | 0.867573i | \(0.334321\pi\) | |||||||
\(752\) | −5.23776 | + | 22.9481i | −0.191002 | + | 0.836833i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | − | 64.6522i | − | 2.35450i | ||||||
\(755\) | −0.194579 | + | 0.852508i | −0.00708147 | + | 0.0310259i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −2.49190 | − | 10.9177i | −0.0905696 | − | 0.396811i | 0.909241 | − | 0.416270i | \(-0.136663\pi\) |
−0.999811 | + | 0.0194586i | \(0.993806\pi\) | |||||||
\(758\) | −49.2780 | + | 11.2474i | −1.78986 | + | 0.408523i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.334788 | − | 0.419811i | −0.0121440 | − | 0.0152281i | ||||
\(761\) | 0.918025 | + | 4.02213i | 0.0332784 | + | 0.145802i | 0.988838 | − | 0.148997i | \(-0.0476044\pi\) |
−0.955559 | + | 0.294799i | \(0.904747\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.76376 | + | 4.78344i | −0.0638525 | + | 0.173172i | ||||
\(764\) | 6.34429 | + | 1.44804i | 0.229528 | + | 0.0523883i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | − | 65.4644i | − | 2.36533i | ||||||
\(767\) | −14.9684 | − | 3.41643i | −0.540476 | − | 0.123360i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −33.1561 | + | 26.4411i | −1.19564 | + | 0.953491i | −0.999632 | − | 0.0271112i | \(-0.991369\pi\) |
−0.196008 | + | 0.980602i | \(0.562798\pi\) | |||||||
\(770\) | 0.00230370 | + | 0.0240382i | 8.30195e−5 | + | 0.000866276i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0.0315579 | − | 0.138264i | 0.00113579 | − | 0.00497623i | ||||
\(773\) | 5.38928 | − | 6.75794i | 0.193839 | − | 0.243066i | −0.675408 | − | 0.737444i | \(-0.736033\pi\) |
0.869247 | + | 0.494378i | \(0.164604\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −24.9431 | + | 19.8915i | −0.895983 | + | 0.714522i | ||||
\(776\) | 15.1019 | + | 7.27267i | 0.542125 | + | 0.261074i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 28.9203 | − | 13.9273i | 1.03684 | − | 0.499317i | ||||
\(779\) | −16.0097 | + | 33.2445i | −0.573607 | + | 1.19111i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.171664 | + | 0.0826692i | 0.00614263 | + | 0.00295814i | ||||
\(782\) | 8.67784 | − | 10.8817i | 0.310319 | − | 0.389128i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 15.8824 | − | 30.3505i | 0.567228 | − | 1.08395i | ||||
\(785\) | − | 0.431527i | − | 0.0154019i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 16.5245 | − | 34.3135i | 0.589035 | − | 1.22314i | −0.367090 | − | 0.930185i | \(-0.619646\pi\) |
0.956125 | − | 0.292958i | \(-0.0946397\pi\) | |||||||
\(788\) | −34.9447 | + | 7.97589i | −1.24485 | + | 0.284129i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.650727 | − | 1.35125i | −0.0231518 | − | 0.0480753i | ||||
\(791\) | 9.19340 | − | 14.1042i | 0.326880 | − | 0.501486i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.03696 | − | 10.0780i | −0.285401 | − | 0.357881i | ||||
\(794\) | −33.9634 | + | 16.3559i | −1.20532 | + | 0.580450i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −9.95291 | − | 2.27169i | −0.352771 | − | 0.0805178i | ||||
\(797\) | 31.4962 | − | 39.4950i | 1.11565 | − | 1.39898i | 0.208581 | − | 0.978005i | \(-0.433115\pi\) |
0.907071 | − | 0.420978i | \(-0.138313\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.38488 | − | 6.75243i | −0.190503 | − | 0.238884i | ||||
\(800\) | −14.0122 | − | 29.0967i | −0.495407 | − | 1.02872i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −69.2195 | −2.44423 | ||||||||
\(803\) | −0.0233048 | −0.000822409 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.894938 | − | 0.0857663i | 0.0315424 | − | 0.00302287i | ||||
\(806\) | 44.5745 | − | 10.1738i | 1.57007 | − | 0.358359i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −15.6643 | + | 12.4919i | −0.551069 | + | 0.439463i | ||||
\(809\) | −24.8019 | + | 19.7788i | −0.871987 | + | 0.695386i | −0.953535 | − | 0.301283i | \(-0.902585\pi\) |
0.0815478 | + | 0.996669i | \(0.474014\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −14.1169 | + | 3.22209i | −0.495711 | + | 0.113143i | −0.463065 | − | 0.886324i | \(-0.653250\pi\) |
−0.0326458 | + | 0.999467i | \(0.510393\pi\) | |||||||
\(812\) | −9.97005 | − | 30.0914i | −0.349880 | − | 1.05600i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.197682 | −0.00692874 | ||||||||
\(815\) | −0.0980422 | −0.00343427 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.73556 | + | 9.83349i | 0.165676 | + | 0.344030i | ||||
\(818\) | 5.04739 | + | 6.32922i | 0.176478 | + | 0.221296i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.446321 | − | 0.559669i | 0.0155862 | − | 0.0195445i | ||||
\(821\) | −2.04355 | − | 0.466428i | −0.0713205 | − | 0.0162784i | 0.186712 | − | 0.982415i | \(-0.440217\pi\) |
−0.258032 | + | 0.966136i | \(0.583074\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −14.9013 | + | 7.17608i | −0.519426 | + | 0.250142i | −0.675179 | − | 0.737654i | \(-0.735934\pi\) |
0.155753 | + | 0.987796i | \(0.450219\pi\) | |||||||
\(824\) | 10.6129 | + | 13.3081i | 0.369717 | + | 0.463610i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −18.7943 | + | 1.80115i | −0.653937 | + | 0.0626700i | ||||
\(827\) | 2.37577 | + | 4.93334i | 0.0826137 | + | 0.171549i | 0.938183 | − | 0.346138i | \(-0.112507\pi\) |
−0.855570 | + | 0.517688i | \(0.826793\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −33.3488 | + | 7.61165i | −1.15825 | + | 0.264364i | −0.758133 | − | 0.652099i | \(-0.773888\pi\) |
−0.400119 | + | 0.916463i | \(0.631031\pi\) | |||||||
\(830\) | −1.06873 | + | 2.21924i | −0.0370962 | + | 0.0770310i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 7.87831i | 0.273131i | ||||||||
\(833\) | 5.07323 | + | 11.4995i | 0.175777 | + | 0.398434i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.07946 | + | 1.35360i | −0.0373564 | + | 0.0468434i | ||||
\(836\) | 0.408792 | + | 0.196864i | 0.0141384 | + | 0.00680867i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −21.9490 | + | 45.5775i | −0.758214 | + | 1.57445i | ||||
\(839\) | −31.9275 | + | 15.3755i | −1.10226 | + | 0.530820i | −0.894368 | − | 0.447332i | \(-0.852374\pi\) |
−0.207891 | + | 0.978152i | \(0.566660\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 47.4068 | + | 22.8299i | 1.63472 | + | 0.787239i | ||||
\(842\) | 7.82351 | − | 6.23904i | 0.269616 | − | 0.215012i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 13.9985 | − | 17.5535i | 0.481847 | − | 0.604217i | ||||
\(845\) | 0.0426407 | − | 0.186821i | 0.00146688 | − | 0.00642684i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −15.0659 | − | 24.8880i | −0.517671 | − | 0.855163i | ||||
\(848\) | 0.386556 | − | 0.308268i | 0.0132744 | − | 0.0105860i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 15.9427 | + | 3.63881i | 0.546829 | + | 0.124810i | ||||
\(851\) | 7.35966i | 0.252286i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 9.95445 | + | 2.27204i | 0.340834 | + | 0.0777931i | 0.389512 | − | 0.921021i | \(-0.372644\pi\) |
−0.0486780 | + | 0.998815i | \(0.515501\pi\) | |||||||
\(854\) | −13.2796 | − | 8.65593i | −0.454418 | − | 0.296200i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.58542 | − | 6.94619i | −0.0541886 | − | 0.237416i | ||||
\(857\) | −4.92636 | − | 6.17746i | −0.168281 | − | 0.211018i | 0.690539 | − | 0.723295i | \(-0.257373\pi\) |
−0.858820 | + | 0.512277i | \(0.828802\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −14.6463 | + | 3.34292i | −0.499725 | + | 0.114059i | −0.464951 | − | 0.885336i | \(-0.653928\pi\) |
−0.0347737 | + | 0.999395i | \(0.511071\pi\) | |||||||
\(860\) | −0.0471169 | − | 0.206433i | −0.00160667 | − | 0.00703929i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 9.33099 | − | 40.8818i | 0.317815 | − | 1.39244i | ||||
\(863\) | − | 2.09035i | − | 0.0711565i | −0.999367 | − | 0.0355783i | \(-0.988673\pi\) | ||
0.999367 | − | 0.0355783i | \(-0.0113273\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.266714 | − | 1.16855i | 0.00906854 | − | 0.0397319i | ||||
\(866\) | −9.57845 | + | 4.61274i | −0.325489 | + | 0.156747i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 19.1776 | − | 11.6091i | 0.650931 | − | 0.394040i | ||||
\(869\) | −0.503364 | − | 0.401419i | −0.0170755 | − | 0.0136172i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −39.9448 | − | 31.8549i | −1.35348 | − | 1.07936i | ||||
\(872\) | 1.02738 | + | 2.13339i | 0.0347916 | + | 0.0722456i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 18.3819 | − | 38.1704i | 0.621776 | − | 1.29113i | ||||
\(875\) | 1.09471 | + | 1.80841i | 0.0370081 | + | 0.0611353i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −10.6555 | − | 5.13144i | −0.359812 | − | 0.173276i | 0.245240 | − | 0.969462i | \(-0.421133\pi\) |
−0.605052 | + | 0.796186i | \(0.706848\pi\) | |||||||
\(878\) | −10.9175 | − | 47.8327i | −0.368448 | − | 1.61428i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.0191470 | + | 0.0152692i | 0.000645446 | + | 0.000514726i | ||||
\(881\) | 0.697841 | 0.0235109 | 0.0117554 | − | 0.999931i | \(-0.496258\pi\) | ||||
0.0117554 | + | 0.999931i | \(0.496258\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 22.0445 | 0.741855 | 0.370928 | − | 0.928662i | \(-0.379040\pi\) | ||||
0.370928 | + | 0.928662i | \(0.379040\pi\) | |||||||
\(884\) | −7.30543 | − | 5.82588i | −0.245708 | − | 0.195946i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 3.99552 | + | 17.5055i | 0.134232 | + | 0.588109i | ||||
\(887\) | −7.91096 | − | 3.80972i | −0.265624 | − | 0.127918i | 0.296332 | − | 0.955085i | \(-0.404237\pi\) |
−0.561956 | + | 0.827167i | \(0.689951\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.72861 | + | 28.4720i | 0.0915147 | + | 0.954921i | ||||
\(890\) | 0.329416 | − | 0.684039i | 0.0110420 | − | 0.0229290i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −10.6962 | − | 22.2108i | −0.358134 | − | 0.743673i | ||||
\(893\) | −20.5539 | − | 16.3912i | −0.687810 | − | 0.548510i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.238742 | − | 0.190390i | −0.00798026 | − | 0.00636405i | ||||
\(896\) | −7.71600 | − | 23.2883i | −0.257774 | − | 0.778007i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −28.8334 | + | 13.8854i | −0.962184 | + | 0.463363i | ||||
\(899\) | −12.8436 | + | 56.2714i | −0.428357 | + | 1.87675i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.181414i | 0.00604378i | ||||||||
\(902\) | 0.171500 | − | 0.751393i | 0.00571034 | − | 0.0250186i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.73998 | − | 7.62335i | −0.0578708 | − | 0.253549i | ||||
\(905\) | −1.42076 | + | 0.324280i | −0.0472277 | + | 0.0107794i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −7.76200 | − | 9.73324i | −0.257733 | − | 0.323187i | 0.636083 | − | 0.771621i | \(-0.280554\pi\) |
−0.893816 | + | 0.448434i | \(0.851982\pi\) | |||||||
\(908\) | 3.13867 | + | 13.7514i | 0.104160 | + | 0.456357i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.144411 | − | 1.50687i | −0.00478718 | − | 0.0499523i | ||||
\(911\) | 33.4396 | + | 7.63236i | 1.10790 | + | 0.252871i | 0.737062 | − | 0.675825i | \(-0.236213\pi\) |
0.370840 | + | 0.928697i | \(0.379070\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.05740i | 0.0349947i | ||||||||
\(914\) | 31.0313 | + | 7.08270i | 1.02643 | + | 0.234275i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −15.7778 | + | 12.5824i | −0.521313 | + | 0.415734i | ||||
\(917\) | 5.83909 | − | 5.64774i | 0.192824 | − | 0.186505i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 6.41309 | − | 28.0976i | 0.211548 | − | 0.926854i | −0.751967 | − | 0.659201i | \(-0.770895\pi\) |
0.963515 | − | 0.267653i | \(-0.0862481\pi\) | |||||||
\(920\) | 0.260343 | − | 0.326460i | 0.00858325 | − | 0.0107631i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.93826 | + | 1.54571i | −0.0638332 | + | 0.0509053i | ||||
\(923\) | −10.7610 | − | 5.18225i | −0.354204 | − | 0.170576i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −7.79066 | + | 3.75178i | −0.256155 | + | 0.123358i | ||||
\(926\) | 16.4862 | − | 34.2340i | 0.541771 | − | 1.12500i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −52.6406 | − | 25.3504i | −1.72801 | − | 0.832167i | ||||
\(929\) | −23.0930 | + | 28.9577i | −0.757657 | + | 0.950071i | −0.999797 | − | 0.0201700i | \(-0.993579\pi\) |
0.242140 | + | 0.970241i | \(0.422151\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 22.8444 | + | 30.6898i | 0.748695 | + | 1.00582i | ||||
\(932\) | 37.5650i | 1.23048i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −17.1780 | + | 35.6705i | −0.562082 | + | 1.16717i | ||||
\(935\) | −0.00876057 | + | 0.00199954i | −0.000286501 | + | 6.53921e-5i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −4.38680 | − | 9.10928i | −0.143310 | − | 0.297587i | 0.816942 | − | 0.576719i | \(-0.195667\pi\) |
−0.960253 | + | 0.279132i | \(0.909953\pi\) | |||||||
\(938\) | −58.9490 | − | 21.7358i | −1.92475 | − | 0.709700i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.317994 | + | 0.398752i | 0.0103718 | + | 0.0130058i | ||||
\(941\) | 35.1459 | − | 16.9254i | 1.14572 | − | 0.551751i | 0.237977 | − | 0.971271i | \(-0.423516\pi\) |
0.907746 | + | 0.419519i | \(0.137801\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −27.9742 | − | 6.38493i | −0.910966 | − | 0.207922i | ||||
\(944\) | −11.9383 | + | 14.9701i | −0.388558 | + | 0.487236i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.142138 | − | 0.178236i | −0.00462132 | − | 0.00579495i | ||||
\(947\) | −11.7073 | − | 24.3105i | −0.380437 | − | 0.789987i | −0.999987 | − | 0.00502923i | \(-0.998399\pi\) |
0.619550 | − | 0.784957i | \(-0.287315\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 1.46090 | 0.0474228 | ||||||||
\(950\) | 49.7763 | 1.61496 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 5.47713 | + | 2.01954i | 0.177515 | + | 0.0654538i | ||||
\(953\) | −46.6988 | + | 10.6587i | −1.51272 | + | 0.345269i | −0.896764 | − | 0.442510i | \(-0.854088\pi\) |
−0.615958 | + | 0.787779i | \(0.711231\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.306708 | + | 0.244592i | −0.00992485 | + | 0.00791480i | ||||
\(956\) | −9.76995 | + | 7.79128i | −0.315983 | + | 0.251988i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −1.75575 | + | 0.400738i | −0.0567256 | + | 0.0129473i | ||||
\(959\) | 3.13309 | + | 3.23924i | 0.101173 | + | 0.104600i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.81745 | −0.316692 | ||||||||
\(962\) | 12.3920 | 0.399534 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 10.4865 | + | 21.7754i | 0.337748 | + | 0.701340i | ||||
\(965\) | 0.00533050 | + | 0.00668424i | 0.000171595 | + | 0.000215173i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −23.0916 | + | 28.9560i | −0.742577 | + | 0.931162i | −0.999377 | − | 0.0353024i | \(-0.988761\pi\) |
0.256800 | + | 0.966465i | \(0.417332\pi\) | |||||||
\(968\) | −13.1734 | − | 3.00674i | −0.423409 | − | 0.0966403i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 1.79201 | − | 0.862986i | 0.0575380 | − | 0.0277088i | ||||
\(971\) | −37.0100 | − | 46.4091i | −1.18771 | − | 1.48934i | −0.832030 | − | 0.554731i | \(-0.812821\pi\) |
−0.355678 | − | 0.934608i | \(-0.615750\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.52751 | + | 27.2238i | −0.113087 | + | 0.872756i | ||||
\(974\) | −27.7408 | − | 57.6043i | −0.888871 | − | 1.84576i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −15.6728 | + | 3.57721i | −0.501673 | + | 0.114504i | ||||
\(977\) | 5.36951 | − | 11.1499i | 0.171786 | − | 0.356717i | −0.797245 | − | 0.603655i | \(-0.793710\pi\) |
0.969031 | + | 0.246938i | \(0.0794246\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | − | 0.325922i | − | 0.0104165i | ||||||
\(980\) | −0.299589 | − | 0.679081i | −0.00957003 | − | 0.0216925i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 13.4380 | − | 16.8507i | 0.428824 | − | 0.537728i | ||||
\(983\) | 28.2925 | + | 13.6250i | 0.902392 | + | 0.434569i | 0.826752 | − | 0.562566i | \(-0.190186\pi\) |
0.0756395 | + | 0.997135i | \(0.475900\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.937527 | − | 1.94679i | 0.0298721 | − | 0.0620300i | ||||
\(986\) | 26.6548 | − | 12.8363i | 0.848863 | − | 0.408791i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −25.6258 | − | 12.3407i | −0.815264 | − | 0.392610i | ||||
\(989\) | −6.63570 | + | 5.29179i | −0.211003 | + | 0.168269i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 3.51077 | − | 4.40236i | 0.111523 | − | 0.139846i | −0.722937 | − | 0.690914i | \(-0.757208\pi\) |
0.834460 | + | 0.551068i | \(0.185780\pi\) | |||||||
\(992\) | 9.19418 | − | 40.2823i | 0.291916 | − | 1.27897i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −14.5660 | − | 1.88737i | −0.462004 | − | 0.0598639i | ||||
\(995\) | 0.481163 | − | 0.383715i | 0.0152539 | − | 0.0121646i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 18.9005 | + | 4.31391i | 0.598584 | + | 0.136623i | 0.511068 | − | 0.859540i | \(-0.329250\pi\) |
0.0875158 | + | 0.996163i | \(0.472107\pi\) | |||||||
\(998\) | − | 72.3981i | − | 2.29172i | ||||||
\(999\) | 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 | 441.2.w.a.251.16 | yes | 120 | |
3.2 | odd | 2 | inner | 441.2.w.a.251.5 | yes | 120 | |
49.41 | odd | 14 | inner | 441.2.w.a.188.5 | ✓ | 120 | |
147.41 | even | 14 | inner | 441.2.w.a.188.16 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.w.a.188.5 | ✓ | 120 | 49.41 | odd | 14 | inner | |
441.2.w.a.188.16 | yes | 120 | 147.41 | even | 14 | inner | |
441.2.w.a.251.5 | yes | 120 | 3.2 | odd | 2 | inner | |
441.2.w.a.251.16 | yes | 120 | 1.1 | even | 1 | trivial |