Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [297,2,Mod(37,297)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(297, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("297.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 297 = 3^{3} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 297.n (of order \(15\), degree \(8\), 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: | \(2.37155694003\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 99) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 262.1 | ||
Root | \(-0.978148 + 0.207912i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 297.262 |
Dual form | 297.2.n.a.280.1 |
$q$-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 \(\left(\mathbb{Z}/297\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(244\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.255585 | + | 0.283856i | 0.180726 | + | 0.200717i | 0.826700 | − | 0.562643i | \(-0.190215\pi\) |
−0.645974 | + | 0.763359i | \(0.723549\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.193806 | − | 1.84395i | 0.0969032 | − | 0.921973i | ||||
\(5\) | 0.827091 | − | 0.918578i | 0.369886 | − | 0.410800i | −0.529252 | − | 0.848465i | \(-0.677527\pi\) |
0.899139 | + | 0.437664i | \(0.144194\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.913545 | + | 0.406737i | −0.345288 | + | 0.153732i | −0.572051 | − | 0.820218i | \(-0.693852\pi\) |
0.226764 | + | 0.973950i | \(0.427186\pi\) | |||||||
\(8\) | 1.19098 | − | 0.865300i | 0.421076 | − | 0.305930i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.472136 | 0.149302 | ||||||||
\(11\) | −2.70528 | − | 1.91872i | −0.815672 | − | 0.578514i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 6.33070 | − | 1.34563i | 1.75582 | − | 0.373211i | 0.786229 | − | 0.617936i | \(-0.212031\pi\) |
0.969593 | + | 0.244724i | \(0.0786974\pi\) | |||||||
\(14\) | −0.348943 | − | 0.155360i | −0.0932590 | − | 0.0415216i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.07715 | − | 0.654069i | −0.769288 | − | 0.163517i | ||||
\(17\) | −1.50000 | − | 4.61653i | −0.363803 | − | 1.11967i | −0.950727 | − | 0.310029i | \(-0.899661\pi\) |
0.586924 | − | 0.809642i | \(-0.300339\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.809017 | + | 0.587785i | −0.185601 | + | 0.134847i | −0.676706 | − | 0.736253i | \(-0.736593\pi\) |
0.491105 | + | 0.871100i | \(0.336593\pi\) | |||||||
\(20\) | −1.53351 | − | 1.70314i | −0.342903 | − | 0.380833i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.146790 | − | 1.25830i | −0.0312957 | − | 0.268271i | ||||
\(23\) | 2.30902 | + | 3.99933i | 0.481463 | + | 0.833919i | 0.999774 | − | 0.0212736i | \(-0.00677212\pi\) |
−0.518310 | + | 0.855193i | \(0.673439\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.362937 | + | 3.45312i | 0.0725874 | + | 0.690623i | ||||
\(26\) | 2.00000 | + | 1.45309i | 0.392232 | + | 0.284973i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.572949 | + | 1.76336i | 0.108277 | + | 0.333243i | ||||
\(29\) | 4.43444 | − | 1.97434i | 0.823455 | − | 0.366626i | 0.0486422 | − | 0.998816i | \(-0.484511\pi\) |
0.774813 | + | 0.632190i | \(0.217844\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.604528 | + | 0.128496i | −0.108577 | + | 0.0230787i | −0.261879 | − | 0.965101i | \(-0.584342\pi\) |
0.153303 | + | 0.988179i | \(0.451009\pi\) | |||||||
\(32\) | −2.07295 | − | 3.59045i | −0.366449 | − | 0.634708i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.927051 | − | 1.60570i | 0.158988 | − | 0.275375i | ||||
\(35\) | −0.381966 | + | 1.17557i | −0.0645640 | + | 0.198708i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.11803 | + | 2.99193i | 0.677001 | + | 0.491870i | 0.872361 | − | 0.488862i | \(-0.162588\pi\) |
−0.195361 | + | 0.980731i | \(0.562588\pi\) | |||||||
\(38\) | −0.373619 | − | 0.0794152i | −0.0606090 | − | 0.0128828i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.190206 | − | 1.80969i | 0.0300743 | − | 0.286137i | ||||
\(41\) | 2.30932 | + | 1.02817i | 0.360655 | + | 0.160574i | 0.579061 | − | 0.815284i | \(-0.303419\pi\) |
−0.218406 | + | 0.975858i | \(0.570086\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.927051 | + | 1.60570i | −0.141374 | + | 0.244867i | −0.928014 | − | 0.372545i | \(-0.878485\pi\) |
0.786640 | + | 0.617412i | \(0.211819\pi\) | |||||||
\(44\) | −4.06231 | + | 4.61653i | −0.612416 | + | 0.695967i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.545085 | + | 1.67760i | −0.0803684 | + | 0.247348i | ||||
\(47\) | 1.24852 | + | 11.8788i | 0.182115 | + | 1.73271i | 0.579428 | + | 0.815024i | \(0.303276\pi\) |
−0.397313 | + | 0.917683i | \(0.630057\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −4.01478 | + | 4.45887i | −0.573541 | + | 0.636981i | ||||
\(50\) | −0.887426 | + | 0.985587i | −0.125501 | + | 0.139383i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.25434 | − | 11.9343i | −0.173946 | − | 1.65498i | ||||
\(53\) | −1.26393 | + | 3.88998i | −0.173614 | + | 0.534330i | −0.999567 | − | 0.0294087i | \(-0.990638\pi\) |
0.825953 | + | 0.563739i | \(0.190638\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.00000 | + | 0.898056i | −0.539360 | + | 0.121094i | ||||
\(56\) | −0.736068 | + | 1.27491i | −0.0983612 | + | 0.170367i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.69381 | + | 0.754131i | 0.222408 | + | 0.0990223i | ||||
\(59\) | 0.169131 | − | 1.60917i | 0.0220189 | − | 0.209496i | −0.977981 | − | 0.208695i | \(-0.933078\pi\) |
1.00000 | 0.000801000i | \(-0.000254966\pi\) | ||||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −10.6169 | − | 2.25669i | −1.35936 | − | 0.288940i | −0.530160 | − | 0.847898i | \(-0.677868\pi\) |
−0.829196 | + | 0.558957i | \(0.811202\pi\) | |||||||
\(62\) | −0.190983 | − | 0.138757i | −0.0242549 | − | 0.0176222i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.45492 | + | 4.47777i | −0.181864 | + | 0.559721i | ||||
\(65\) | 4.00000 | − | 6.92820i | 0.496139 | − | 0.859338i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.00000 | − | 5.19615i | −0.366508 | − | 0.634811i | 0.622509 | − | 0.782613i | \(-0.286114\pi\) |
−0.989017 | + | 0.147802i | \(0.952780\pi\) | |||||||
\(68\) | −8.80333 | + | 1.87121i | −1.06756 | + | 0.226917i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.431318 | + | 0.192035i | −0.0515523 | + | 0.0229526i | ||||
\(71\) | 0.899187 | + | 2.76741i | 0.106714 | + | 0.328431i | 0.990129 | − | 0.140160i | \(-0.0447617\pi\) |
−0.883415 | + | 0.468591i | \(0.844762\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.118034 | + | 0.0857567i | 0.0138148 | + | 0.0100371i | 0.594671 | − | 0.803969i | \(-0.297282\pi\) |
−0.580856 | + | 0.814006i | \(0.697282\pi\) | |||||||
\(74\) | 0.203232 | + | 1.93362i | 0.0236252 | + | 0.224779i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.927051 | + | 1.60570i | 0.106340 | + | 0.184186i | ||||
\(77\) | 3.25181 | + | 0.652498i | 0.370578 | + | 0.0743590i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.06756 | + | 7.84932i | 0.795163 | + | 0.883118i | 0.995319 | − | 0.0966462i | \(-0.0308115\pi\) |
−0.200156 | + | 0.979764i | \(0.564145\pi\) | |||||||
\(80\) | −3.14590 | + | 2.28563i | −0.351722 | + | 0.255541i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.298374 | + | 0.918300i | 0.0329499 | + | 0.101409i | ||||
\(83\) | −9.55057 | − | 2.03004i | −1.04831 | − | 0.222825i | −0.348615 | − | 0.937266i | \(-0.613348\pi\) |
−0.699696 | + | 0.714441i | \(0.746681\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −5.48127 | − | 2.44042i | −0.594528 | − | 0.264701i | ||||
\(86\) | −0.692728 | + | 0.147244i | −0.0746988 | + | 0.0158777i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −4.88220 | + | 0.0557196i | −0.520445 | + | 0.00593972i | ||||
\(89\) | 6.76393 | 0.716975 | 0.358488 | − | 0.933534i | \(-0.383293\pi\) | ||||
0.358488 | + | 0.933534i | \(0.383293\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.23607 | + | 3.80423i | −0.548889 | + | 0.398791i | ||||
\(92\) | 7.82206 | − | 3.48260i | 0.815506 | − | 0.363087i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.05278 | + | 3.39045i | −0.314870 | + | 0.349699i | ||||
\(95\) | −0.129204 | + | 1.22930i | −0.0132561 | + | 0.126123i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.01478 | + | 4.45887i | 0.407640 | + | 0.452730i | 0.911650 | − | 0.410968i | \(-0.134809\pi\) |
−0.504010 | + | 0.863698i | \(0.668143\pi\) | |||||||
\(98\) | −2.29180 | −0.231506 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.43769 | 0.643769 | ||||||||
\(101\) | 5.66897 | + | 6.29602i | 0.564083 | + | 0.626478i | 0.955945 | − | 0.293546i | \(-0.0948355\pi\) |
−0.391862 | + | 0.920024i | \(0.628169\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.06996 | − | 10.1800i | 0.105426 | − | 1.00306i | −0.806088 | − | 0.591796i | \(-0.798419\pi\) |
0.911514 | − | 0.411269i | \(-0.134914\pi\) | |||||||
\(104\) | 6.37539 | − | 7.08058i | 0.625158 | − | 0.694308i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.42724 | + | 0.635447i | −0.138626 | + | 0.0617201i | ||||
\(107\) | 11.3541 | − | 8.24924i | 1.09764 | − | 0.797484i | 0.116969 | − | 0.993136i | \(-0.462682\pi\) |
0.980673 | + | 0.195652i | \(0.0626822\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.14590 | 0.684453 | 0.342226 | − | 0.939618i | \(-0.388819\pi\) | ||||
0.342226 | + | 0.939618i | \(0.388819\pi\) | |||||||
\(110\) | −1.27726 | − | 0.905894i | −0.121782 | − | 0.0863737i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 3.07715 | − | 0.654069i | 0.290764 | − | 0.0618037i | ||||
\(113\) | −15.7459 | − | 7.01054i | −1.48125 | − | 0.659496i | −0.502507 | − | 0.864573i | \(-0.667589\pi\) |
−0.978746 | + | 0.205077i | \(0.934255\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.58347 | + | 1.18680i | 0.520661 | + | 0.110670i | ||||
\(116\) | −2.78115 | − | 8.55951i | −0.258224 | − | 0.794730i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.500000 | − | 0.363271i | 0.0460287 | − | 0.0334418i | ||||
\(119\) | 3.24803 | + | 3.60730i | 0.297746 | + | 0.330681i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.63706 | + | 10.3813i | 0.330642 | + | 0.943756i | ||||
\(122\) | −2.07295 | − | 3.59045i | −0.187676 | − | 0.325064i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.119779 | + | 1.13962i | 0.0107565 | + | 0.102341i | ||||
\(125\) | 8.47214 | + | 6.15537i | 0.757771 | + | 0.550553i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.26393 | − | 10.0453i | −0.289627 | − | 0.891381i | −0.984973 | − | 0.172706i | \(-0.944749\pi\) |
0.695346 | − | 0.718675i | \(-0.255251\pi\) | |||||||
\(128\) | −9.21783 | + | 4.10404i | −0.814749 | + | 0.362749i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.98895 | − | 0.635322i | 0.262149 | − | 0.0557214i | ||||
\(131\) | 10.6180 | + | 18.3910i | 0.927702 | + | 1.60683i | 0.787157 | + | 0.616753i | \(0.211552\pi\) |
0.140545 | + | 0.990074i | \(0.455115\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.500000 | − | 0.866025i | 0.0433555 | − | 0.0750939i | ||||
\(134\) | 0.708204 | − | 2.17963i | 0.0611795 | − | 0.188291i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.78115 | − | 4.20025i | −0.495730 | − | 0.360169i | ||||
\(137\) | −8.42971 | − | 1.79179i | −0.720199 | − | 0.153083i | −0.166790 | − | 0.985993i | \(-0.553340\pi\) |
−0.553409 | + | 0.832910i | \(0.686673\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.01478 | + | 9.65502i | −0.0860728 | + | 0.818928i | 0.863282 | + | 0.504722i | \(0.168405\pi\) |
−0.949355 | + | 0.314206i | \(0.898262\pi\) | |||||||
\(140\) | 2.09366 | + | 0.932157i | 0.176947 | + | 0.0787817i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.555728 | + | 0.962549i | −0.0466357 | + | 0.0807753i | ||||
\(143\) | −19.7082 | − | 8.50651i | −1.64808 | − | 0.711350i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.85410 | − | 5.70634i | 0.153975 | − | 0.473886i | ||||
\(146\) | 0.00582517 | + | 0.0554228i | 0.000482095 | + | 0.00458682i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 6.31505 | − | 7.01357i | 0.519094 | − | 0.576512i | ||||
\(149\) | 10.1576 | − | 11.2812i | 0.832145 | − | 0.924191i | −0.165934 | − | 0.986137i | \(-0.553064\pi\) |
0.998080 | + | 0.0619457i | \(0.0197306\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.452215 | − | 4.30254i | −0.0368007 | − | 0.350136i | −0.997392 | − | 0.0721716i | \(-0.977007\pi\) |
0.960591 | − | 0.277964i | \(-0.0896596\pi\) | |||||||
\(152\) | −0.454915 | + | 1.40008i | −0.0368985 | + | 0.113562i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.645898 | + | 1.08981i | 0.0520479 | + | 0.0878197i | ||||
\(155\) | −0.381966 | + | 0.661585i | −0.0306802 | + | 0.0531397i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.52810 | + | 2.90650i | 0.520999 | + | 0.231964i | 0.650349 | − | 0.759635i | \(-0.274622\pi\) |
−0.129350 | + | 0.991599i | \(0.541289\pi\) | |||||||
\(158\) | −0.421714 | + | 4.01234i | −0.0335498 | + | 0.319205i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −5.01263 | − | 1.06547i | −0.396283 | − | 0.0842325i | ||||
\(161\) | −3.73607 | − | 2.71441i | −0.294443 | − | 0.213926i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.39919 | − | 19.6947i | 0.501223 | − | 1.54261i | −0.305806 | − | 0.952094i | \(-0.598926\pi\) |
0.807029 | − | 0.590512i | \(-0.201074\pi\) | |||||||
\(164\) | 2.34346 | − | 4.05899i | 0.182993 | − | 0.316954i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.86475 | − | 3.22983i | −0.144732 | − | 0.250684i | ||||
\(167\) | −5.63798 | + | 1.19839i | −0.436280 | + | 0.0927341i | −0.420815 | − | 0.907146i | \(-0.638256\pi\) |
−0.0154643 | + | 0.999880i | \(0.504923\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 26.3910 | − | 11.7500i | 2.03008 | − | 0.903848i | ||||
\(170\) | −0.708204 | − | 2.17963i | −0.0543168 | − | 0.167170i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.78115 | + | 2.02063i | 0.212061 | + | 0.154071i | ||||
\(173\) | −2.41358 | − | 22.9637i | −0.183501 | − | 1.74590i | −0.568233 | − | 0.822868i | \(-0.692373\pi\) |
0.384732 | − | 0.923028i | \(-0.374294\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.73607 | − | 3.00696i | −0.131234 | − | 0.227305i | ||||
\(176\) | 7.06958 | + | 7.67362i | 0.532890 | + | 0.578421i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.72876 | + | 1.91998i | 0.129576 | + | 0.143909i | ||||
\(179\) | −4.09017 | + | 2.97168i | −0.305714 | + | 0.222114i | −0.730055 | − | 0.683388i | \(-0.760506\pi\) |
0.424341 | + | 0.905502i | \(0.360506\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.06231 | − | 9.42481i | −0.227619 | − | 0.700540i | −0.998015 | − | 0.0629745i | \(-0.979941\pi\) |
0.770396 | − | 0.637566i | \(-0.220059\pi\) | |||||||
\(182\) | −2.41811 | − | 0.513986i | −0.179243 | − | 0.0380992i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 6.21062 | + | 2.76515i | 0.457853 | + | 0.203849i | ||||
\(185\) | 6.15431 | − | 1.30814i | 0.452474 | − | 0.0961762i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.79988 | + | 15.3671i | −0.351002 | + | 1.12375i | ||||
\(188\) | 22.1459 | 1.61516 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.381966 | + | 0.277515i | −0.0277107 | + | 0.0201330i | ||||
\(191\) | −5.43036 | + | 2.41775i | −0.392927 | + | 0.174942i | −0.593683 | − | 0.804699i | \(-0.702327\pi\) |
0.200756 | + | 0.979641i | \(0.435660\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.36044 | + | 8.17459i | −0.529816 | + | 0.588420i | −0.947333 | − | 0.320249i | \(-0.896234\pi\) |
0.417518 | + | 0.908669i | \(0.362900\pi\) | |||||||
\(194\) | −0.239558 | + | 2.27924i | −0.0171993 | + | 0.163640i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 7.44382 | + | 8.26720i | 0.531701 | + | 0.590514i | ||||
\(197\) | −8.23607 | −0.586796 | −0.293398 | − | 0.955990i | \(-0.594786\pi\) | ||||
−0.293398 | + | 0.955990i | \(0.594786\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.14590 | −0.506559 | −0.253280 | − | 0.967393i | \(-0.581509\pi\) | ||||
−0.253280 | + | 0.967393i | \(0.581509\pi\) | |||||||
\(200\) | 3.42023 | + | 3.79855i | 0.241847 | + | 0.268598i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.338261 | + | 3.21834i | −0.0238000 | + | 0.226442i | ||||
\(203\) | −3.24803 | + | 3.60730i | −0.227967 | + | 0.253183i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.85447 | − | 1.27089i | 0.199365 | − | 0.0887631i | ||||
\(206\) | 3.16312 | − | 2.29814i | 0.220385 | − | 0.160119i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −20.3607 | −1.41176 | ||||||||
\(209\) | 3.31641 | − | 0.0378495i | 0.229401 | − | 0.00261810i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −20.0248 | + | 4.25640i | −1.37856 | + | 0.293022i | −0.836800 | − | 0.547509i | \(-0.815576\pi\) |
−0.541762 | + | 0.840532i | \(0.682243\pi\) | |||||||
\(212\) | 6.92796 | + | 3.08452i | 0.475814 | + | 0.211846i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 5.24354 | + | 1.11455i | 0.358441 | + | 0.0761889i | ||||
\(215\) | 0.708204 | + | 2.17963i | 0.0482991 | + | 0.148649i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.500000 | − | 0.363271i | 0.0339422 | − | 0.0246605i | ||||
\(218\) | 1.82639 | + | 2.02841i | 0.123698 | + | 0.137381i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.880740 | + | 7.54983i | 0.0593795 | + | 0.509009i | ||||
\(221\) | −15.7082 | − | 27.2074i | −1.05665 | − | 1.83017i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.62088 | + | 15.4216i | 0.108542 | + | 1.03271i | 0.904243 | + | 0.427019i | \(0.140436\pi\) |
−0.795701 | + | 0.605690i | \(0.792897\pi\) | |||||||
\(224\) | 3.35410 | + | 2.43690i | 0.224105 | + | 0.162822i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.03444 | − | 6.26137i | −0.135329 | − | 0.416500i | ||||
\(227\) | 15.1813 | − | 6.75916i | 1.00762 | − | 0.448621i | 0.164518 | − | 0.986374i | \(-0.447393\pi\) |
0.843103 | + | 0.537753i | \(0.180727\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −9.95788 | + | 2.11661i | −0.658035 | + | 0.139870i | −0.524814 | − | 0.851217i | \(-0.675865\pi\) |
−0.133221 | + | 0.991086i | \(0.542532\pi\) | |||||||
\(230\) | 1.09017 | + | 1.88823i | 0.0718837 | + | 0.124506i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.57295 | − | 6.18853i | 0.234576 | − | 0.406297i | ||||
\(233\) | 3.43769 | − | 10.5801i | 0.225211 | − | 0.693128i | −0.773059 | − | 0.634334i | \(-0.781275\pi\) |
0.998270 | − | 0.0587939i | \(-0.0187255\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 11.9443 | + | 8.67802i | 0.779158 | + | 0.566092i | ||||
\(236\) | −2.93444 | − | 0.623735i | −0.191016 | − | 0.0406017i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.193806 | + | 1.84395i | −0.0125626 | + | 0.119525i | ||||
\(239\) | −9.56677 | − | 4.25940i | −0.618823 | − | 0.275518i | 0.0732857 | − | 0.997311i | \(-0.476651\pi\) |
−0.692109 | + | 0.721793i | \(0.743318\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 13.4164 | − | 23.2379i | 0.864227 | − | 1.49688i | −0.00358606 | − | 0.999994i | \(-0.501141\pi\) |
0.867813 | − | 0.496891i | \(-0.165525\pi\) | |||||||
\(242\) | −2.01722 | + | 3.68571i | −0.129672 | + | 0.236927i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −6.21885 | + | 19.1396i | −0.398121 | + | 1.22529i | ||||
\(245\) | 0.775226 | + | 7.37578i | 0.0495274 | + | 0.471221i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.33070 | + | 4.80973i | −0.275556 | + | 0.306036i | ||||
\(248\) | −0.608795 | + | 0.676135i | −0.0386585 | + | 0.0429346i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.418114 | + | 3.97809i | 0.0264438 | + | 0.251596i | ||||
\(251\) | −6.35410 | + | 19.5559i | −0.401067 | + | 1.23436i | 0.523067 | + | 0.852291i | \(0.324788\pi\) |
−0.924135 | + | 0.382067i | \(0.875212\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.42705 | − | 15.2497i | 0.0897179 | − | 0.958738i | ||||
\(254\) | 2.01722 | − | 3.49393i | 0.126572 | − | 0.219229i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 5.08142 | + | 2.26239i | 0.317589 | + | 0.141400i | ||||
\(257\) | −1.55850 | + | 14.8282i | −0.0972167 | + | 0.924955i | 0.831840 | + | 0.555016i | \(0.187288\pi\) |
−0.929056 | + | 0.369939i | \(0.879379\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.97894 | − | 1.05831i | −0.309376 | − | 0.0657599i | ||||
\(260\) | −12.0000 | − | 8.71851i | −0.744208 | − | 0.540699i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.50658 | + | 7.71445i | −0.154857 | + | 0.476601i | ||||
\(263\) | −6.35410 | + | 11.0056i | −0.391811 | + | 0.678636i | −0.992688 | − | 0.120705i | \(-0.961485\pi\) |
0.600878 | + | 0.799341i | \(0.294818\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.52786 | + | 4.37839i | 0.155285 | + | 0.268962i | ||||
\(266\) | 0.373619 | − | 0.0794152i | 0.0229081 | − | 0.00486926i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −10.1628 | + | 4.52479i | −0.620794 | + | 0.276395i | ||||
\(269\) | 6.57295 | + | 20.2295i | 0.400760 | + | 1.23341i | 0.924384 | + | 0.381463i | \(0.124579\pi\) |
−0.523625 | + | 0.851949i | \(0.675421\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.70820 | − | 6.32688i | −0.528986 | − | 0.384331i | 0.290993 | − | 0.956725i | \(-0.406015\pi\) |
−0.819978 | + | 0.572395i | \(0.806015\pi\) | |||||||
\(272\) | 1.59620 | + | 15.1869i | 0.0967840 | + | 0.920838i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.64590 | − | 2.85078i | −0.0994323 | − | 0.172222i | ||||
\(275\) | 5.64370 | − | 10.0380i | 0.340328 | − | 0.605315i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.8714 | − | 14.2952i | −0.773370 | − | 0.858914i | 0.219806 | − | 0.975544i | \(-0.429458\pi\) |
−0.993176 | + | 0.116629i | \(0.962791\pi\) | |||||||
\(278\) | −3.00000 | + | 2.17963i | −0.179928 | + | 0.130725i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.562306 | + | 1.73060i | 0.0336042 | + | 0.103423i | ||||
\(281\) | −9.12244 | − | 1.93903i | −0.544199 | − | 0.115673i | −0.0723942 | − | 0.997376i | \(-0.523064\pi\) |
−0.471805 | + | 0.881703i | \(0.656397\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −15.5303 | − | 6.91452i | −0.923179 | − | 0.411026i | −0.110592 | − | 0.993866i | \(-0.535275\pi\) |
−0.812587 | + | 0.582840i | \(0.801941\pi\) | |||||||
\(284\) | 5.27723 | − | 1.12171i | 0.313146 | − | 0.0665612i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.62250 | − | 7.76843i | −0.155072 | − | 0.459357i | ||||
\(287\) | −2.52786 | −0.149215 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.30902 | + | 3.85723i | −0.312295 | + | 0.226896i | ||||
\(290\) | 2.09366 | − | 0.932157i | 0.122944 | − | 0.0547382i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.181006 | − | 0.201028i | 0.0105926 | − | 0.0117643i | ||||
\(293\) | −3.05018 | + | 29.0205i | −0.178193 | + | 1.69539i | 0.430983 | + | 0.902360i | \(0.358167\pi\) |
−0.609176 | + | 0.793035i | \(0.708500\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.33826 | − | 1.48629i | −0.0779166 | − | 0.0865351i | ||||
\(296\) | 7.49342 | 0.435546 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 5.79837 | 0.335891 | ||||||||
\(299\) | 19.9993 | + | 22.2115i | 1.15659 | + | 1.28453i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.193806 | − | 1.84395i | 0.0111708 | − | 0.106283i | ||||
\(302\) | 1.10572 | − | 1.22803i | 0.0636272 | − | 0.0706651i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.87392 | − | 1.27955i | 0.164831 | − | 0.0733873i | ||||
\(305\) | −10.8541 | + | 7.88597i | −0.621504 | + | 0.451549i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 7.85410 | 0.448257 | 0.224129 | − | 0.974560i | \(-0.428046\pi\) | ||||
0.224129 | + | 0.974560i | \(0.428046\pi\) | |||||||
\(308\) | 1.83339 | − | 5.86969i | 0.104467 | − | 0.334457i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.285420 | + | 0.0606678i | −0.0162107 | + | 0.00344570i | ||||
\(311\) | −13.8679 | − | 6.17440i | −0.786378 | − | 0.350118i | −0.0260529 | − | 0.999661i | \(-0.508294\pi\) |
−0.760325 | + | 0.649542i | \(0.774960\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.39626 | − | 0.721898i | −0.191968 | − | 0.0408041i | 0.110924 | − | 0.993829i | \(-0.464619\pi\) |
−0.302892 | + | 0.953025i | \(0.597952\pi\) | |||||||
\(314\) | 0.843459 | + | 2.59590i | 0.0475991 | + | 0.146495i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 15.8435 | − | 11.5109i | 0.891264 | − | 0.647541i | ||||
\(317\) | −14.0145 | − | 15.5646i | −0.787130 | − | 0.874197i | 0.207442 | − | 0.978247i | \(-0.433486\pi\) |
−0.994572 | + | 0.104051i | \(0.966820\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −15.7846 | − | 3.16729i | −0.883768 | − | 0.177334i | ||||
\(320\) | 2.90983 | + | 5.03997i | 0.162664 | + | 0.281743i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.184381 | − | 1.75427i | −0.0102752 | − | 0.0977616i | ||||
\(323\) | 3.92705 | + | 2.85317i | 0.218507 | + | 0.158755i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.94427 | + | 21.3723i | 0.385199 | + | 1.18552i | ||||
\(326\) | 7.22599 | − | 3.21722i | 0.400211 | − | 0.178185i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 3.64004 | − | 0.773714i | 0.200988 | − | 0.0427212i | ||||
\(329\) | −5.97214 | − | 10.3440i | −0.329255 | − | 0.570286i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −7.20820 | + | 12.4850i | −0.396199 | + | 0.686236i | −0.993253 | − | 0.115964i | \(-0.963004\pi\) |
0.597055 | + | 0.802201i | \(0.296338\pi\) | |||||||
\(332\) | −5.59424 | + | 17.2173i | −0.307024 | + | 0.944921i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.78115 | − | 1.29408i | −0.0974604 | − | 0.0708091i | ||||
\(335\) | −7.25434 | − | 1.54196i | −0.396347 | − | 0.0842462i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.19916 | − | 11.4093i | 0.0653227 | − | 0.621504i | −0.912065 | − | 0.410047i | \(-0.865512\pi\) |
0.977387 | − | 0.211457i | \(-0.0678209\pi\) | |||||||
\(338\) | 10.0805 | + | 4.48811i | 0.548305 | + | 0.244121i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −5.56231 | + | 9.63420i | −0.301658 | + | 0.522488i | ||||
\(341\) | 1.88197 | + | 0.812299i | 0.101914 | + | 0.0439885i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 4.01722 | − | 12.3637i | 0.216910 | − | 0.667579i | ||||
\(344\) | 0.285309 | + | 2.71454i | 0.0153829 | + | 0.146358i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.90150 | − | 6.55428i | 0.317267 | − | 0.352361i | ||||
\(347\) | 5.94760 | − | 6.60548i | 0.319284 | − | 0.354600i | −0.562043 | − | 0.827108i | \(-0.689984\pi\) |
0.881327 | + | 0.472508i | \(0.156651\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.433364 | + | 4.12319i | 0.0231975 | + | 0.220709i | 0.999979 | + | 0.00647159i | \(0.00205999\pi\) |
−0.976782 | + | 0.214238i | \(0.931273\pi\) | |||||||
\(350\) | 0.409830 | − | 1.26133i | 0.0219063 | − | 0.0674208i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −1.28115 | + | 13.6906i | −0.0682857 | + | 0.729710i | ||||
\(353\) | −8.20820 | + | 14.2170i | −0.436879 | + | 0.756696i | −0.997447 | − | 0.0714123i | \(-0.977249\pi\) |
0.560568 | + | 0.828108i | \(0.310583\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.28579 | + | 1.46293i | 0.174392 | + | 0.0776442i | ||||
\(356\) | 1.31089 | − | 12.4723i | 0.0694772 | − | 0.661032i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.88892 | − | 0.401502i | −0.0998324 | − | 0.0212200i | ||||
\(359\) | −18.4894 | − | 13.4333i | −0.975831 | − | 0.708983i | −0.0190579 | − | 0.999818i | \(-0.506067\pi\) |
−0.956773 | + | 0.290836i | \(0.906067\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.56231 | + | 17.1190i | −0.292753 | + | 0.901001i | ||||
\(362\) | 1.89261 | − | 3.27810i | 0.0994733 | − | 0.172293i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 6.00000 | + | 10.3923i | 0.314485 | + | 0.544705i | ||||
\(365\) | 0.176399 | − | 0.0374948i | 0.00923315 | − | 0.00196257i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.6095 | + | 5.16889i | −0.606012 | + | 0.269814i | −0.686718 | − | 0.726924i | \(-0.740949\pi\) |
0.0807058 | + | 0.996738i | \(0.474283\pi\) | |||||||
\(368\) | −4.48936 | − | 13.8168i | −0.234024 | − | 0.720252i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.94427 | + | 1.41260i | 0.101078 | + | 0.0734374i | ||||
\(371\) | −0.427539 | − | 4.06776i | −0.0221967 | − | 0.211188i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.82624 | + | 4.89519i | 0.146337 | + | 0.253463i | 0.929871 | − | 0.367886i | \(-0.119918\pi\) |
−0.783534 | + | 0.621349i | \(0.786585\pi\) | |||||||
\(374\) | −5.58881 | + | 2.56512i | −0.288991 | + | 0.132639i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 11.7657 | + | 13.0672i | 0.606771 | + | 0.673887i | ||||
\(377\) | 25.4164 | − | 18.4661i | 1.30901 | − | 0.951053i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.88197 | + | 15.0251i | 0.250770 | + | 0.771790i | 0.994634 | + | 0.103459i | \(0.0329910\pi\) |
−0.743864 | + | 0.668331i | \(0.767009\pi\) | |||||||
\(380\) | 2.24171 | + | 0.476491i | 0.114998 | + | 0.0244435i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.07421 | − | 0.923500i | −0.106126 | − | 0.0472503i | ||||
\(383\) | 19.4202 | − | 4.12790i | 0.992328 | − | 0.210926i | 0.316986 | − | 0.948430i | \(-0.397329\pi\) |
0.675342 | + | 0.737504i | \(0.263996\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.28891 | − | 2.44736i | 0.167618 | − | 0.124729i | ||||
\(386\) | −4.20163 | −0.213857 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 9.00000 | − | 6.53888i | 0.456906 | − | 0.331961i | ||||
\(389\) | 20.6941 | − | 9.21359i | 1.04923 | − | 0.467148i | 0.191632 | − | 0.981467i | \(-0.438622\pi\) |
0.857599 | + | 0.514319i | \(0.171955\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 14.9995 | − | 16.6586i | 0.758558 | − | 0.842464i | ||||
\(392\) | −0.923281 | + | 8.78443i | −0.0466327 | + | 0.443681i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.10502 | − | 2.33786i | −0.106049 | − | 0.117780i | ||||
\(395\) | 13.0557 | 0.656905 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.12461 | −0.106631 | −0.0533156 | − | 0.998578i | \(-0.516979\pi\) | ||||
−0.0533156 | + | 0.998578i | \(0.516979\pi\) | |||||||
\(398\) | −1.82639 | − | 2.02841i | −0.0915484 | − | 0.101675i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.14176 | − | 10.8631i | 0.0570881 | − | 0.543157i | ||||
\(401\) | −9.74408 | + | 10.8219i | −0.486596 | + | 0.540420i | −0.935578 | − | 0.353121i | \(-0.885120\pi\) |
0.448981 | + | 0.893541i | \(0.351787\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.65418 | + | 1.62695i | −0.182028 | + | 0.0810440i | ||||
\(404\) | 12.7082 | − | 9.23305i | 0.632257 | − | 0.459361i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.85410 | −0.0920175 | ||||||||
\(407\) | −5.39977 | − | 15.9953i | −0.267657 | − | 0.792859i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 33.0053 | − | 7.01549i | 1.63201 | − | 0.346894i | 0.701358 | − | 0.712809i | \(-0.252577\pi\) |
0.930648 | + | 0.365915i | \(0.119244\pi\) | |||||||
\(410\) | 1.09031 | + | 0.485438i | 0.0538467 | + | 0.0239741i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −18.5640 | − | 3.94590i | −0.914582 | − | 0.194400i | ||||
\(413\) | 0.500000 | + | 1.53884i | 0.0246034 | + | 0.0757215i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −9.76393 | + | 7.09391i | −0.479293 | + | 0.348226i | ||||
\(416\) | −17.9547 | − | 19.9407i | −0.880300 | − | 0.977672i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.858369 | + | 0.931709i | 0.0419842 | + | 0.0455714i | ||||
\(419\) | 4.04508 | + | 7.00629i | 0.197615 | + | 0.342280i | 0.947755 | − | 0.319000i | \(-0.103347\pi\) |
−0.750139 | + | 0.661280i | \(0.770014\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.06996 | − | 10.1800i | −0.0521467 | − | 0.496143i | −0.989159 | − | 0.146847i | \(-0.953088\pi\) |
0.937013 | − | 0.349296i | \(-0.113579\pi\) | |||||||
\(422\) | −6.32624 | − | 4.59628i | −0.307956 | − | 0.223743i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.86068 | + | 5.72658i | 0.0903626 | + | 0.278107i | ||||
\(425\) | 15.3970 | − | 6.85518i | 0.746864 | − | 0.332525i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 10.6169 | − | 2.25669i | 0.513788 | − | 0.109209i | ||||
\(428\) | −13.0106 | − | 22.5351i | −0.628893 | − | 1.08927i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.437694 | + | 0.758108i | −0.0211075 | + | 0.0365592i | ||||
\(431\) | 10.5279 | − | 32.4014i | 0.507109 | − | 1.56072i | −0.290086 | − | 0.957001i | \(-0.593684\pi\) |
0.797195 | − | 0.603722i | \(-0.206316\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −11.9271 | − | 8.66551i | −0.573177 | − | 0.416438i | 0.263081 | − | 0.964774i | \(-0.415261\pi\) |
−0.836258 | + | 0.548336i | \(0.815261\pi\) | |||||||
\(434\) | 0.230909 | + | 0.0490813i | 0.0110840 | + | 0.00235598i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.38492 | − | 13.1766i | 0.0663257 | − | 0.631047i | ||||
\(437\) | −4.21878 | − | 1.87832i | −0.201812 | − | 0.0898524i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.354102 | − | 0.613323i | 0.0169004 | − | 0.0292723i | −0.857452 | − | 0.514565i | \(-0.827954\pi\) |
0.874352 | + | 0.485292i | \(0.161287\pi\) | |||||||
\(440\) | −3.98684 | + | 4.53077i | −0.190065 | + | 0.215996i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.70820 | − | 11.4127i | 0.176381 | − | 0.542846i | ||||
\(443\) | −0.129204 | − | 1.22930i | −0.00613868 | − | 0.0584056i | 0.991024 | − | 0.133686i | \(-0.0426814\pi\) |
−0.997162 | + | 0.0752806i | \(0.976015\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.59439 | − | 6.21320i | 0.265199 | − | 0.294534i | ||||
\(446\) | −3.96325 | + | 4.40164i | −0.187665 | + | 0.208424i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.492141 | − | 4.68241i | −0.0232515 | − | 0.221223i | ||||
\(449\) | −2.30902 | + | 7.10642i | −0.108969 | + | 0.335373i | −0.990642 | − | 0.136489i | \(-0.956418\pi\) |
0.881672 | + | 0.471862i | \(0.156418\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.27458 | − | 7.21242i | −0.201282 | − | 0.339620i | ||||
\(452\) | −15.9787 | + | 27.6759i | −0.751575 | + | 1.30177i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 5.79875 | + | 2.58177i | 0.272149 | + | 0.121169i | ||||
\(455\) | −0.836228 | + | 7.95618i | −0.0392030 | + | 0.372991i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.978148 | + | 0.207912i | 0.0457558 | + | 0.00972570i | 0.230733 | − | 0.973017i | \(-0.425888\pi\) |
−0.184977 | + | 0.982743i | \(0.559221\pi\) | |||||||
\(458\) | −3.14590 | − | 2.28563i | −0.146998 | − | 0.106800i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3.27051 | − | 10.0656i | 0.152488 | − | 0.469311i | ||||
\(461\) | −8.07295 | + | 13.9828i | −0.375995 | + | 0.651242i | −0.990475 | − | 0.137690i | \(-0.956032\pi\) |
0.614481 | + | 0.788932i | \(0.289366\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.50000 | − | 14.7224i | −0.395029 | − | 0.684209i | 0.598076 | − | 0.801439i | \(-0.295932\pi\) |
−0.993105 | + | 0.117230i | \(0.962599\pi\) | |||||||
\(464\) | −14.9368 | + | 3.17492i | −0.693424 | + | 0.147392i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 3.88186 | − | 1.72831i | 0.179824 | − | 0.0800626i | ||||
\(467\) | 0.236068 | + | 0.726543i | 0.0109239 | + | 0.0336204i | 0.956370 | − | 0.292159i | \(-0.0943735\pi\) |
−0.945446 | + | 0.325779i | \(0.894373\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 4.85410 | + | 3.52671i | 0.224142 | + | 0.162848i | ||||
\(470\) | 0.589469 | + | 5.60843i | 0.0271902 | + | 0.258697i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −1.19098 | − | 2.06284i | −0.0548194 | − | 0.0949500i | ||||
\(473\) | 5.58881 | − | 2.56512i | 0.256974 | − | 0.117944i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.32331 | − | 2.58030i | −0.106601 | − | 0.118392i | ||||
\(476\) | 7.28115 | − | 5.29007i | 0.333731 | − | 0.242470i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.23607 | − | 3.80423i | −0.0565364 | − | 0.174001i | ||||
\(479\) | −11.5069 | − | 2.44586i | −0.525762 | − | 0.111754i | −0.0626186 | − | 0.998038i | \(-0.519945\pi\) |
−0.463143 | + | 0.886283i | \(0.653278\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 30.0961 | + | 13.3996i | 1.37226 | + | 0.610971i | ||||
\(482\) | 10.0253 | − | 2.13093i | 0.456638 | − | 0.0970614i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 19.8475 | − | 4.69458i | 0.902158 | − | 0.213390i | ||||
\(485\) | 7.41641 | 0.336762 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.5000 | − | 7.62870i | 0.475800 | − | 0.345689i | −0.323897 | − | 0.946092i | \(-0.604993\pi\) |
0.799698 | + | 0.600403i | \(0.204993\pi\) | |||||||
\(488\) | −14.5973 | + | 6.49913i | −0.660788 | + | 0.294202i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.89552 | + | 2.10519i | −0.0856310 | + | 0.0951029i | ||||
\(491\) | 0.765800 | − | 7.28610i | 0.0345601 | − | 0.328817i | −0.963558 | − | 0.267499i | \(-0.913803\pi\) |
0.998118 | − | 0.0613184i | \(-0.0195305\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −15.7663 | − | 17.5102i | −0.710077 | − | 0.788620i | ||||
\(494\) | −2.47214 | −0.111227 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.94427 | 0.0873004 | ||||||||
\(497\) | −1.94706 | − | 2.16243i | −0.0873374 | − | 0.0969980i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −4.01561 | + | 38.2060i | −0.179763 | + | 1.71033i | 0.417823 | + | 0.908529i | \(0.362793\pi\) |
−0.597586 | + | 0.801805i | \(0.703873\pi\) | |||||||
\(500\) | 12.9921 | − | 14.4292i | 0.581025 | − | 0.645294i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −7.17508 | + | 3.19455i | −0.320239 | + | 0.142580i | ||||
\(503\) | −7.70820 | + | 5.60034i | −0.343692 | + | 0.249707i | −0.746218 | − | 0.665702i | \(-0.768132\pi\) |
0.402526 | + | 0.915409i | \(0.368132\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 10.4721 | 0.466004 | ||||||||
\(506\) | 4.69344 | − | 3.49251i | 0.208649 | − | 0.155261i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −19.1556 | + | 4.07166i | −0.849894 | + | 0.180651i | ||||
\(509\) | 24.8305 | + | 11.0552i | 1.10059 | + | 0.490015i | 0.874959 | − | 0.484198i | \(-0.160888\pi\) |
0.225633 | + | 0.974212i | \(0.427555\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.142710 | − | 0.0303339i | −0.00631311 | − | 0.00134189i | ||||
\(512\) | 6.89261 | + | 21.2133i | 0.304613 | + | 0.937503i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.60739 | + | 3.34747i | −0.203223 | + | 0.147650i | ||||
\(515\) | −8.46616 | − | 9.40262i | −0.373064 | − | 0.414329i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 19.4145 | − | 34.5311i | 0.853850 | − | 1.51868i | ||||
\(518\) | −0.972136 | − | 1.68379i | −0.0427132 | − | 0.0739814i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −1.23104 | − | 11.7126i | −0.0539847 | − | 0.513630i | ||||
\(521\) | −32.6525 | − | 23.7234i | −1.43053 | − | 1.03934i | −0.989918 | − | 0.141645i | \(-0.954761\pi\) |
−0.440613 | − | 0.897697i | \(-0.645239\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0 | 0 | 0.951057 | − | 0.309017i | \(-0.100000\pi\) | ||||
−0.951057 | + | 0.309017i | \(0.900000\pi\) | |||||||
\(524\) | 35.9698 | − | 16.0148i | 1.57135 | − | 0.699609i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.74803 | + | 1.00922i | −0.207024 | + | 0.0440043i | ||||
\(527\) | 1.50000 | + | 2.59808i | 0.0653410 | + | 0.113174i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 0.836881 | − | 1.44952i | 0.0363861 | − | 0.0630226i | ||||
\(530\) | −0.596748 | + | 1.83660i | −0.0259211 | + | 0.0797768i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.50000 | − | 1.08981i | −0.0650332 | − | 0.0472494i | ||||
\(533\) | 16.0032 | + | 3.40158i | 0.693174 | + | 0.147339i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.81331 | − | 17.2525i | 0.0783962 | − | 0.745890i | ||||
\(536\) | −8.06918 | − | 3.59263i | −0.348535 | − | 0.155178i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −4.06231 | + | 7.03612i | −0.175138 | + | 0.303349i | ||||
\(539\) | 19.4164 | − | 4.35926i | 0.836324 | − | 0.187766i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −3.68034 | + | 11.3269i | −0.158230 | + | 0.486982i | −0.998474 | − | 0.0552266i | \(-0.982412\pi\) |
0.840244 | + | 0.542209i | \(0.182412\pi\) | |||||||
\(542\) | −0.429764 | − | 4.08893i | −0.0184600 | − | 0.175635i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −13.4660 | + | 14.9555i | −0.577350 | + | 0.641212i | ||||
\(545\) | 5.91031 | − | 6.56406i | 0.253170 | − | 0.281173i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.37901 | + | 32.1492i | 0.144476 | + | 1.37460i | 0.791052 | + | 0.611749i | \(0.209534\pi\) |
−0.646576 | + | 0.762850i | \(0.723800\pi\) | |||||||
\(548\) | −4.93769 | + | 15.1967i | −0.210928 | + | 0.649169i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 4.29180 | − | 0.963568i | 0.183003 | − | 0.0410867i | ||||
\(551\) | −2.42705 | + | 4.20378i | −0.103396 | + | 0.179087i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −9.64915 | − | 4.29608i | −0.410323 | − | 0.182688i | ||||
\(554\) | 0.768025 | − | 7.30727i | 0.0326303 | − | 0.310456i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 17.6067 | + | 3.74241i | 0.746689 | + | 0.158714i | ||||
\(557\) | −0.527864 | − | 0.383516i | −0.0223663 | − | 0.0162501i | 0.576546 | − | 0.817065i | \(-0.304400\pi\) |
−0.598912 | + | 0.800815i | \(0.704400\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.70820 | + | 11.4127i | −0.156840 | + | 0.482705i | ||||
\(560\) | 1.94427 | − | 3.36758i | 0.0821605 | − | 0.142306i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −1.78115 | − | 3.08505i | −0.0751334 | − | 0.130135i | ||||
\(563\) | −19.8612 | + | 4.22164i | −0.837051 | + | 0.177921i | −0.606444 | − | 0.795126i | \(-0.707405\pi\) |
−0.230607 | + | 0.973047i | \(0.574071\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −19.4630 | + | 8.66550i | −0.818816 | + | 0.364561i | ||||
\(566\) | −2.00658 | − | 6.17561i | −0.0843428 | − | 0.259580i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.46556 | + | 2.51788i | 0.145412 | + | 0.105648i | ||||
\(569\) | 4.05553 | + | 38.5858i | 0.170017 | + | 1.61760i | 0.663726 | + | 0.747975i | \(0.268974\pi\) |
−0.493710 | + | 0.869627i | \(0.664359\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 9.26393 | + | 16.0456i | 0.387683 | + | 0.671488i | 0.992138 | − | 0.125153i | \(-0.0399420\pi\) |
−0.604454 | + | 0.796640i | \(0.706609\pi\) | |||||||
\(572\) | −19.5051 | + | 34.6922i | −0.815550 | + | 1.45055i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.646085 | − | 0.717550i | −0.0269670 | − | 0.0299499i | ||||
\(575\) | −12.9721 | + | 9.42481i | −0.540975 | + | 0.393042i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 10.9443 | + | 33.6830i | 0.455616 | + | 1.40224i | 0.870410 | + | 0.492327i | \(0.163853\pi\) |
−0.414794 | + | 0.909915i | \(0.636147\pi\) | |||||||
\(578\) | −2.45180 | − | 0.521147i | −0.101982 | − | 0.0216769i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −10.1628 | − | 4.52479i | −0.421989 | − | 0.187882i | ||||
\(581\) | 9.55057 | − | 2.03004i | 0.396224 | − | 0.0842201i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 10.8831 | − | 8.09836i | 0.450730 | − | 0.335400i | ||||
\(584\) | 0.214782 | 0.00888773 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −9.01722 | + | 6.55139i | −0.372498 | + | 0.270636i | ||||
\(587\) | −12.2565 | + | 5.45694i | −0.505880 | + | 0.225232i | −0.643775 | − | 0.765215i | \(-0.722633\pi\) |
0.137895 | + | 0.990447i | \(0.455966\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.413545 | − | 0.459289i | 0.0170398 | − | 0.0189247i | ||||
\(590\) | 0.0798526 | − | 0.759747i | 0.00328748 | − | 0.0312783i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −10.7149 | − | 11.9001i | −0.440379 | − | 0.489091i | ||||
\(593\) | 10.9443 | 0.449427 | 0.224714 | − | 0.974425i | \(-0.427855\pi\) | ||||
0.224714 | + | 0.974425i | \(0.427855\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.00000 | 0.245976 | ||||||||
\(596\) | −18.8333 | − | 20.9165i | −0.771441 | − | 0.856772i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.19334 | + | 11.3539i | −0.0487993 | + | 0.464294i | ||||
\(599\) | 8.94004 | − | 9.92892i | 0.365280 | − | 0.405685i | −0.532286 | − | 0.846565i | \(-0.678667\pi\) |
0.897566 | + | 0.440880i | \(0.145334\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −15.9616 | + | 7.10656i | −0.651087 | + | 0.289883i | −0.705579 | − | 0.708632i | \(-0.749313\pi\) |
0.0544917 | + | 0.998514i | \(0.482646\pi\) | |||||||
\(602\) | 0.572949 | − | 0.416272i | 0.0233517 | − | 0.0169660i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −8.02129 | −0.326382 | ||||||||
\(605\) | 12.5442 | + | 5.24537i | 0.509995 | + | 0.213255i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.50528 | − | 0.745071i | 0.142275 | − | 0.0302415i | −0.136224 | − | 0.990678i | \(-0.543497\pi\) |
0.278499 | + | 0.960437i | \(0.410163\pi\) | |||||||
\(608\) | 3.78747 | + | 1.68629i | 0.153602 | + | 0.0683880i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −5.01263 | − | 1.06547i | −0.202955 | − | 0.0431395i | ||||
\(611\) | 23.8885 | + | 73.5214i | 0.966427 | + | 2.97436i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −16.0623 | + | 11.6699i | −0.648750 | + | 0.471345i | −0.862845 | − | 0.505468i | \(-0.831320\pi\) |
0.214095 | + | 0.976813i | \(0.431320\pi\) | |||||||
\(614\) | 2.00739 | + | 2.22943i | 0.0810117 | + | 0.0899727i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 4.43745 | − | 2.03667i | 0.178790 | − | 0.0820599i | ||||
\(617\) | −13.5795 | − | 23.5204i | −0.546691 | − | 0.946897i | −0.998498 | − | 0.0547813i | \(-0.982554\pi\) |
0.451807 | − | 0.892116i | \(-0.350779\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −2.88105 | − | 27.4113i | −0.115799 | − | 1.10175i | −0.885914 | − | 0.463849i | \(-0.846468\pi\) |
0.770115 | − | 0.637905i | \(-0.220199\pi\) | |||||||
\(620\) | 1.14590 | + | 0.832544i | 0.0460204 | + | 0.0334358i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −1.79180 | − | 5.51458i | −0.0718445 | − | 0.221115i | ||||
\(623\) | −6.17916 | + | 2.75114i | −0.247563 | + | 0.110222i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.31990 | + | 0.918223i | −0.172796 | + | 0.0367289i | ||||
\(626\) | −0.663119 | − | 1.14856i | −0.0265036 | − | 0.0459055i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 6.62461 | − | 11.4742i | 0.264351 | − | 0.457869i | ||||
\(629\) | 7.63525 | − | 23.4989i | 0.304438 | − | 0.936962i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.80902 | + | 6.40013i | 0.350681 | + | 0.254785i | 0.749155 | − | 0.662395i | \(-0.230460\pi\) |
−0.398473 | + | 0.917180i | \(0.630460\pi\) | |||||||
\(632\) | 15.2094 | + | 3.23285i | 0.604996 | + | 0.128596i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0.836228 | − | 7.95618i | 0.0332108 | − | 0.315980i | ||||
\(635\) | −11.9270 | − | 5.31024i | −0.473309 | − | 0.210731i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −19.4164 | + | 33.6302i | −0.769306 | + | 1.33248i | ||||
\(638\) | −3.13525 | − | 5.29007i | −0.124126 | − | 0.209436i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −3.85410 | + | 11.8617i | −0.152347 | + | 0.468875i | ||||
\(641\) | −2.13770 | − | 20.3388i | −0.0844339 | − | 0.803335i | −0.952017 | − | 0.306044i | \(-0.900995\pi\) |
0.867584 | − | 0.497291i | \(-0.165672\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.58629 | + | 5.09359i | −0.180866 | + | 0.200872i | −0.826759 | − | 0.562556i | \(-0.809818\pi\) |
0.645894 | + | 0.763427i | \(0.276485\pi\) | |||||||
\(644\) | −5.72930 | + | 6.36303i | −0.225766 | + | 0.250739i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.193806 | + | 1.84395i | 0.00762521 | + | 0.0725490i | ||||
\(647\) | 1.29180 | − | 3.97574i | 0.0507857 | − | 0.156302i | −0.922447 | − | 0.386123i | \(-0.873814\pi\) |
0.973233 | + | 0.229821i | \(0.0738140\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −3.54508 | + | 4.02874i | −0.139157 | + | 0.158142i | ||||
\(650\) | −4.29180 | + | 7.43361i | −0.168338 | + | 0.291570i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −35.0757 | − | 15.6167i | −1.37367 | − | 0.611597i | ||||
\(653\) | −0.142230 | + | 1.35323i | −0.00556588 | + | 0.0529558i | −0.996952 | − | 0.0780135i | \(-0.975142\pi\) |
0.991386 | + | 0.130969i | \(0.0418089\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 25.6756 | + | 5.45752i | 1.00323 | + | 0.213243i | ||||
\(656\) | −6.43363 | − | 4.67430i | −0.251191 | − | 0.182501i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 1.40983 | − | 4.33901i | 0.0549609 | − | 0.169152i | ||||
\(659\) | 4.98936 | − | 8.64182i | 0.194358 | − | 0.336637i | −0.752332 | − | 0.658784i | \(-0.771071\pi\) |
0.946690 | + | 0.322147i | \(0.104404\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 2.14590 | + | 3.71680i | 0.0834658 | + | 0.144567i | 0.904736 | − | 0.425972i | \(-0.140068\pi\) |
−0.821271 | + | 0.570539i | \(0.806734\pi\) | |||||||
\(662\) | −5.38625 | + | 1.14488i | −0.209342 | + | 0.0444971i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −13.1312 | + | 5.84637i | −0.509588 | + | 0.226883i | ||||
\(665\) | −0.381966 | − | 1.17557i | −0.0148120 | − | 0.0455867i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 18.1353 | + | 13.1760i | 0.702200 | + | 0.510178i | ||||
\(668\) | 1.11709 | + | 10.6284i | 0.0432214 | + | 0.411224i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.41641 | − | 2.45329i | −0.0547206 | − | 0.0947789i | ||||
\(671\) | 24.3918 | + | 26.4758i | 0.941633 | + | 1.02209i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −19.7810 | − | 21.9691i | −0.762503 | − | 0.846846i | 0.229467 | − | 0.973316i | \(-0.426302\pi\) |
−0.991970 | + | 0.126471i | \(0.959635\pi\) | |||||||
\(674\) | 3.54508 | − | 2.57565i | 0.136552 | − | 0.0992105i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −16.5517 | − | 50.9408i | −0.636602 | − | 1.95926i | ||||
\(677\) | 5.92340 | + | 1.25906i | 0.227655 | + | 0.0483895i | 0.320326 | − | 0.947307i | \(-0.396207\pi\) |
−0.0926718 | + | 0.995697i | \(0.529541\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −5.48127 | − | 2.44042i | −0.210352 | − | 0.0936547i | ||||
\(680\) | −8.63980 | + | 1.83645i | −0.331321 | + | 0.0704245i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.250426 | + | 0.741819i | 0.00958933 | + | 0.0284057i | ||||
\(683\) | 5.52786 | 0.211518 | 0.105759 | − | 0.994392i | \(-0.466273\pi\) | ||||
0.105759 | + | 0.994392i | \(0.466273\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −8.61803 | + | 6.26137i | −0.329278 | + | 0.239235i | ||||
\(686\) | 4.53626 | − | 2.01967i | 0.173195 | − | 0.0771115i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3.90292 | − | 4.33463i | 0.148797 | − | 0.165256i | ||||
\(689\) | −2.76709 | + | 26.3271i | −0.105418 | + | 1.00298i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.76713 | + | 10.8475i | 0.371559 | + | 0.412658i | 0.899707 | − | 0.436494i | \(-0.143780\pi\) |
−0.528148 | + | 0.849152i | \(0.677113\pi\) | |||||||
\(692\) | −42.8115 | −1.62745 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 3.39512 | 0.128877 | ||||||||
\(695\) | 8.02957 | + | 8.91774i | 0.304579 | + | 0.338269i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.28262 | − | 12.2033i | 0.0485826 | − | 0.462233i | ||||
\(698\) | −1.05963 | + | 1.17684i | −0.0401076 | + | 0.0445440i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −5.88113 | + | 2.61845i | −0.222286 | + | 0.0989680i | ||||
\(701\) | −38.6074 | + | 28.0499i | −1.45818 | + | 1.05943i | −0.474349 | + | 0.880337i | \(0.657317\pi\) |
−0.983832 | + | 0.179094i | \(0.942683\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −5.09017 | −0.191979 | ||||||||
\(704\) | 12.5275 | − | 9.32204i | 0.472148 | − | 0.351338i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −6.13348 | + | 1.30371i | −0.230837 | + | 0.0490659i | ||||
\(707\) | −7.73968 | − | 3.44593i | −0.291081 | − | 0.129597i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 25.2009 | + | 5.35662i | 0.946441 | + | 0.201172i | 0.655181 | − | 0.755472i | \(-0.272592\pi\) |
0.291260 | + | 0.956644i | \(0.405926\pi\) | |||||||
\(710\) | 0.424538 | + | 1.30660i | 0.0159326 | + | 0.0490356i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 8.05573 | − | 5.85283i | 0.301901 | − | 0.219344i | ||||
\(713\) | −1.90977 | − | 2.12101i | −0.0715213 | − | 0.0794325i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −24.1144 | + | 11.0679i | −0.901826 | + | 0.413914i | ||||
\(716\) | 4.68692 | + | 8.11798i | 0.175158 | + | 0.303383i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −0.912480 | − | 8.68167i | −0.0340535 | − | 0.323997i | ||||
\(719\) | −15.8541 | − | 11.5187i | −0.591258 | − | 0.429574i | 0.251507 | − | 0.967855i | \(-0.419074\pi\) |
−0.842765 | + | 0.538281i | \(0.819074\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.16312 | + | 9.73508i | 0.117801 | + | 0.362553i | ||||
\(722\) | −6.28098 | + | 2.79647i | −0.233754 | + | 0.104074i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −17.9723 | + | 3.82014i | −0.667936 | + | 0.141974i | ||||
\(725\) | 8.42705 | + | 14.5961i | 0.312973 | + | 0.542085i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −9.41641 | + | 16.3097i | −0.349235 | + | 0.604893i | −0.986114 | − | 0.166071i | \(-0.946892\pi\) |
0.636879 | + | 0.770964i | \(0.280225\pi\) | |||||||
\(728\) | −2.94427 | + | 9.06154i | −0.109122 | + | 0.335843i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0.0557281 | + | 0.0404888i | 0.00206259 | + | 0.00149856i | ||||
\(731\) | 8.80333 | + | 1.87121i | 0.325603 | + | 0.0692090i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.06672 | + | 48.2066i | −0.187143 | + | 1.78055i | 0.349692 | + | 0.936865i | \(0.386286\pi\) |
−0.536836 | + | 0.843687i | \(0.680381\pi\) | |||||||
\(734\) | −4.43444 | − | 1.97434i | −0.163678 | − | 0.0728743i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 9.57295 | − | 16.5808i | 0.352864 | − | 0.611178i | ||||
\(737\) | −1.85410 | + | 19.8132i | −0.0682967 | + | 0.729828i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 13.1459 | − | 40.4589i | 0.483580 | − | 1.48831i | −0.350448 | − | 0.936582i | \(-0.613971\pi\) |
0.834027 | − | 0.551723i | \(-0.186029\pi\) | |||||||
\(740\) | −1.21939 | − | 11.6017i | −0.0448257 | − | 0.426488i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.04539 | − | 1.16102i | 0.0383774 | − | 0.0426224i | ||||
\(743\) | 28.3448 | − | 31.4801i | 1.03987 | − | 1.15489i | 0.0521540 | − | 0.998639i | \(-0.483391\pi\) |
0.987717 | − | 0.156255i | \(-0.0499420\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.96136 | − | 18.6611i | −0.0718589 | − | 0.683691i | ||||
\(746\) | −0.667184 | + | 2.05338i | −0.0244274 | + | 0.0751797i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 27.4058 | + | 11.8290i | 1.00205 | + | 0.432509i | ||||
\(749\) | −7.01722 | + | 12.1542i | −0.256404 | + | 0.444104i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −28.5476 | − | 12.7102i | −1.04172 | − | 0.463802i | −0.186707 | − | 0.982416i | \(-0.559782\pi\) |
−0.855009 | + | 0.518614i | \(0.826448\pi\) | |||||||
\(752\) | 3.92771 | − | 37.3696i | 0.143229 | − | 1.36273i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 11.7378 | + | 2.49494i | 0.427464 | + | 0.0908604i | ||||
\(755\) | −4.32624 | − | 3.14320i | −0.157448 | − | 0.114393i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3.39919 | − | 10.4616i | 0.123546 | − | 0.380234i | −0.870088 | − | 0.492897i | \(-0.835938\pi\) |
0.993633 | + | 0.112663i | \(0.0359380\pi\) | |||||||
\(758\) | −3.01722 | + | 5.22598i | −0.109590 | + | 0.189816i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.909830 | + | 1.57587i | 0.0330030 | + | 0.0571629i | ||||
\(761\) | 6.82621 | − | 1.45096i | 0.247450 | − | 0.0525971i | −0.0825167 | − | 0.996590i | \(-0.526296\pi\) |
0.329967 | + | 0.943993i | \(0.392962\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −6.52810 | + | 2.90650i | −0.236333 | + | 0.105222i | ||||
\(764\) | 3.40576 | + | 10.4819i | 0.123216 | + | 0.379221i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 6.13525 | + | 4.45752i | 0.221676 | + | 0.161057i | ||||
\(767\) | −1.09464 | − | 10.4148i | −0.0395250 | − | 0.376055i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 7.89919 | + | 13.6818i | 0.284852 | + | 0.493378i | 0.972573 | − | 0.232597i | \(-0.0747222\pi\) |
−0.687721 | + | 0.725975i | \(0.741389\pi\) | |||||||
\(770\) | 1.53529 | + | 0.308068i | 0.0553282 | + | 0.0111020i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 13.6470 | + | 15.1565i | 0.491166 | + | 0.545495i | ||||
\(773\) | 19.1353 | − | 13.9026i | 0.688247 | − | 0.500041i | −0.187836 | − | 0.982200i | \(-0.560147\pi\) |
0.876083 | + | 0.482159i | \(0.160147\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.663119 | − | 2.04087i | −0.0238199 | − | 0.0733102i | ||||
\(776\) | 8.63980 | + | 1.83645i | 0.310151 | + | 0.0659246i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 7.90443 | + | 3.51928i | 0.283388 | + | 0.126172i | ||||
\(779\) | −2.47262 | + | 0.525572i | −0.0885910 | + | 0.0188306i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.87733 | − | 9.21191i | 0.102959 | − | 0.329628i | ||||
\(782\) | 8.56231 | 0.306187 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 15.2705 | − | 11.0947i | 0.545375 | − | 0.396238i | ||||
\(785\) | 8.06918 | − | 3.59263i | 0.288001 | − | 0.128226i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 24.0887 | − | 26.7532i | 0.858669 | − | 0.953649i | −0.140668 | − | 0.990057i | \(-0.544925\pi\) |
0.999337 | + | 0.0364078i | \(0.0115915\pi\) | |||||||
\(788\) | −1.59620 | + | 15.1869i | −0.0568624 | + | 0.541009i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 3.33685 | + | 3.70595i | 0.118720 | + | 0.131852i | ||||
\(791\) | 17.2361 | 0.612844 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −70.2492 | −2.49462 | ||||||||
\(794\) | −0.543019 | − | 0.603084i | −0.0192710 | − | 0.0214026i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.38492 | + | 13.1766i | −0.0490872 | + | 0.467034i | ||||
\(797\) | −16.2401 | + | 18.0365i | −0.575255 | + | 0.638886i | −0.958612 | − | 0.284714i | \(-0.908101\pi\) |
0.383357 | + | 0.923600i | \(0.374768\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 52.9662 | − | 23.5821i | 1.87381 | − | 0.834274i | ||||
\(800\) | 11.6459 | − | 8.46124i | 0.411745 | − | 0.299150i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −5.56231 | −0.196412 | ||||||||
\(803\) | −0.154772 | − | 0.458469i | −0.00546179 | − | 0.0161790i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.58347 | + | 1.18680i | −0.196791 | + | 0.0418293i | ||||
\(806\) | −1.39577 | − | 0.621438i | −0.0491640 | − | 0.0218892i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 12.1996 | + | 2.59310i | 0.429180 | + | 0.0912250i | ||||
\(809\) | 5.59017 | + | 17.2048i | 0.196540 | + | 0.604888i | 0.999955 | + | 0.00946853i | \(0.00301397\pi\) |
−0.803415 | + | 0.595419i | \(0.796986\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −7.02786 | + | 5.10604i | −0.246782 | + | 0.179297i | −0.704299 | − | 0.709903i | \(-0.748739\pi\) |
0.457518 | + | 0.889201i | \(0.348739\pi\) | |||||||
\(812\) | 6.02218 | + | 6.68830i | 0.211337 | + | 0.234713i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 3.16027 | − | 5.62093i | 0.110767 | − | 0.197013i | ||||
\(815\) | −12.7984 | − | 22.1674i | −0.448307 | − | 0.776491i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.193806 | − | 1.84395i | −0.00678043 | − | 0.0645115i | ||||
\(818\) | 10.4271 | + | 7.57570i | 0.364573 | + | 0.264878i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −1.79024 | − | 5.50980i | −0.0625180 | − | 0.192411i | ||||
\(821\) | −34.9109 | + | 15.5434i | −1.21840 | + | 0.542467i | −0.912296 | − | 0.409531i | \(-0.865692\pi\) |
−0.306104 | + | 0.951998i | \(0.599026\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 41.3676 | − | 8.79296i | 1.44198 | − | 0.306503i | 0.580489 | − | 0.814268i | \(-0.302861\pi\) |
0.861496 | + | 0.507765i | \(0.169528\pi\) | |||||||
\(824\) | −7.53444 | − | 13.0500i | −0.262475 | − | 0.454620i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.309017 | + | 0.535233i | −0.0107521 | + | 0.0186231i | ||||
\(827\) | 17.6246 | − | 54.2430i | 0.612868 | − | 1.88621i | 0.183721 | − | 0.982978i | \(-0.441186\pi\) |
0.429147 | − | 0.903235i | \(-0.358814\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −35.2254 | − | 25.5928i | −1.22343 | − | 0.888874i | −0.227049 | − | 0.973883i | \(-0.572908\pi\) |
−0.996380 | + | 0.0850096i | \(0.972908\pi\) | |||||||
\(830\) | −4.50917 | − | 0.958453i | −0.156515 | − | 0.0332684i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −3.18521 | + | 30.3052i | −0.110427 | + | 1.05064i | ||||
\(833\) | 26.6067 | + | 11.8460i | 0.921866 | + | 0.410441i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −3.56231 | + | 6.17009i | −0.123279 | + | 0.213525i | ||||
\(836\) | 0.572949 | − | 6.12261i | 0.0198159 | − | 0.211755i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −0.954915 | + | 2.93893i | −0.0329870 | + | 0.101524i | ||||
\(839\) | −1.80748 | − | 17.1971i | −0.0624013 | − | 0.593709i | −0.980385 | − | 0.197091i | \(-0.936851\pi\) |
0.917984 | − | 0.396618i | \(-0.129816\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.63853 | + | 4.04099i | −0.125466 | + | 0.139345i | ||||
\(842\) | 2.61619 | − | 2.90557i | 0.0901598 | − | 0.100133i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 3.96763 | + | 37.7495i | 0.136572 | + | 1.29939i | ||||
\(845\) | 11.0344 | − | 33.9605i | 0.379596 | − | 1.16828i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −7.54508 | − | 8.00448i | −0.259252 | − | 0.275037i | ||||
\(848\) | 6.43363 | − | 11.1434i | 0.220932 | − | 0.382665i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 5.88113 | + | 2.61845i | 0.201721 | + | 0.0898120i | ||||
\(851\) | −2.45711 | + | 23.3778i | −0.0842285 | + | 0.801381i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 34.6633 | + | 7.36791i | 1.18685 | + | 0.252272i | 0.758703 | − | 0.651437i | \(-0.225834\pi\) |
0.428146 | + | 0.903710i | \(0.359167\pi\) | |||||||
\(854\) | 3.35410 | + | 2.43690i | 0.114775 | + | 0.0833889i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 6.38448 | − | 19.6494i | 0.218217 | − | 0.671603i | ||||
\(857\) | 12.6803 | − | 21.9630i | 0.433152 | − | 0.750242i | −0.563991 | − | 0.825781i | \(-0.690735\pi\) |
0.997143 | + | 0.0755396i | \(0.0240679\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 16.2812 | + | 28.1998i | 0.555506 | + | 0.962164i | 0.997864 | + | 0.0653258i | \(0.0208087\pi\) |
−0.442358 | + | 0.896838i | \(0.645858\pi\) | |||||||
\(860\) | 4.15637 | − | 0.883463i | 0.141731 | − | 0.0301258i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 11.8881 | − | 5.29293i | 0.404911 | − | 0.180278i | ||||
\(863\) | −4.46556 | − | 13.7436i | −0.152009 | − | 0.467837i | 0.845836 | − | 0.533443i | \(-0.179102\pi\) |
−0.997846 | + | 0.0656059i | \(0.979102\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −23.0902 | − | 16.7760i | −0.785089 | − | 0.570401i | ||||
\(866\) | −0.588620 | − | 5.60034i | −0.0200021 | − | 0.190307i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.572949 | − | 0.992377i | −0.0194472 | − | 0.0336835i | ||||
\(869\) | −4.05911 | − | 34.7952i | −0.137696 | − | 1.18035i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −25.9842 | − | 28.8584i | −0.880442 | − | 0.977830i | ||||
\(872\) | 8.51064 | − | 6.18334i | 0.288207 | − | 0.209394i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −0.545085 | − | 1.67760i | −0.0184378 | − | 0.0567456i | ||||
\(875\) | −10.2433 | − | 2.17728i | −0.346287 | − | 0.0736055i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 10.5942 | + | 4.71682i | 0.357739 | + | 0.159276i | 0.577734 | − | 0.816225i | \(-0.303937\pi\) |
−0.219994 | + | 0.975501i | \(0.570604\pi\) | |||||||
\(878\) | 0.264599 | − | 0.0562422i | 0.00892977 | − | 0.00189808i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 12.8960 | − | 0.147179i | 0.434724 | − | 0.00496141i | ||||
\(881\) | −1.81966 | −0.0613059 | −0.0306530 | − | 0.999530i | \(-0.509759\pi\) | ||||
−0.0306530 | + | 0.999530i | \(0.509759\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 28.8435 | − | 20.9560i | 0.970660 | − | 0.705226i | 0.0150579 | − | 0.999887i | \(-0.495207\pi\) |
0.955602 | + | 0.294661i | \(0.0952068\pi\) | |||||||
\(884\) | −53.2133 | + | 23.6921i | −1.78976 | + | 0.796851i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.315921 | − | 0.350865i | 0.0106136 | − | 0.0117876i | ||||
\(887\) | −0.421714 | + | 4.01234i | −0.0141598 | + | 0.134721i | −0.999318 | − | 0.0369278i | \(-0.988243\pi\) |
0.985158 | + | 0.171649i | \(0.0549095\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 7.06756 | + | 7.84932i | 0.237038 | + | 0.263258i | ||||
\(890\) | 3.19350 | 0.107046 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 28.7508 | 0.962647 | ||||||||
\(893\) | −7.99228 | − | 8.87632i | −0.267451 | − | 0.297035i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −0.653222 | + | 6.21499i | −0.0218348 | + | 0.207744i | ||||
\(896\) | 6.75164 | − | 7.49846i | 0.225557 | − | 0.250506i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −2.60735 | + | 1.16087i | −0.0870085 | + | 0.0387387i | ||||
\(899\) | −2.42705 | + | 1.76336i | −0.0809467 | + | 0.0588112i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 19.8541 | 0.661436 | ||||||||
\(902\) | 0.954773 | − | 3.05675i | 0.0317904 | − | 0.101779i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −24.8194 | + | 5.27552i | −0.825480 | + | 0.175461i | ||||
\(905\) | −11.1902 | − | 4.98221i | −0.371976 | − | 0.165614i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 14.2649 | + | 3.03210i | 0.473658 | + | 0.100679i | 0.438555 | − | 0.898704i | \(-0.355491\pi\) |
0.0351037 | + | 0.999384i | \(0.488824\pi\) | |||||||
\(908\) | −9.52129 | − | 29.3035i | −0.315975 | − | 0.972471i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −2.47214 | + | 1.79611i | −0.0819505 | + | 0.0595405i | ||||
\(911\) | 12.8342 | + | 14.2538i | 0.425214 | + | 0.472248i | 0.917242 | − | 0.398331i | \(-0.130411\pi\) |
−0.492027 | + | 0.870580i | \(0.663744\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 21.9419 | + | 23.8166i | 0.726170 | + | 0.788215i | ||||
\(914\) | 0.190983 | + | 0.330792i | 0.00631716 | + | 0.0109416i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 1.97302 | + | 18.7720i | 0.0651903 | + | 0.620244i | ||||
\(917\) | −17.1803 | − | 12.4822i | −0.567345 | − | 0.412200i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −8.30244 | − | 25.5523i | −0.273872 | − | 0.842892i | −0.989516 | − | 0.144426i | \(-0.953866\pi\) |
0.715643 | − | 0.698466i | \(-0.246134\pi\) | |||||||
\(920\) | 7.67675 | − | 3.41791i | 0.253095 | − | 0.112685i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −6.03242 | + | 1.28223i | −0.198667 | + | 0.0422280i | ||||
\(923\) | 9.41641 | + | 16.3097i | 0.309945 | + | 0.536840i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −8.83688 | + | 15.3059i | −0.290555 | + | 0.503256i | ||||
\(926\) | 2.00658 | − | 6.17561i | 0.0659402 | − | 0.202943i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −16.2812 | − | 11.8290i | −0.534455 | − | 0.388304i | ||||
\(929\) | −47.2157 | − | 10.0360i | −1.54910 | − | 0.329271i | −0.647574 | − | 0.762003i | \(-0.724216\pi\) |
−0.901523 | + | 0.432732i | \(0.857550\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.627171 | − | 5.96713i | 0.0205547 | − | 0.195565i | ||||
\(932\) | −18.8429 | − | 8.38942i | −0.617221 | − | 0.274804i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −0.145898 | + | 0.252703i | −0.00477393 | + | 0.00826869i | ||||
\(935\) | 10.1459 | + | 17.1190i | 0.331806 | + | 0.559852i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −7.11803 | + | 21.9071i | −0.232536 | + | 0.715672i | 0.764903 | + | 0.644146i | \(0.222787\pi\) |
−0.997439 | + | 0.0715265i | \(0.977213\pi\) | |||||||
\(938\) | 0.239558 | + | 2.27924i | 0.00782184 | + | 0.0744199i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 18.3167 | − | 20.3427i | 0.597424 | − | 0.663507i | ||||
\(941\) | −18.1730 | + | 20.1831i | −0.592421 | + | 0.657951i | −0.962574 | − | 0.271021i | \(-0.912639\pi\) |
0.370152 | + | 0.928971i | \(0.379306\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.22024 | + | 11.6098i | 0.0397365 | + | 0.378067i | ||||
\(944\) | −1.57295 | + | 4.84104i | −0.0511951 | + | 0.157562i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.15654 | + | 0.930812i | 0.0701152 | + | 0.0302633i | ||||
\(947\) | 18.3541 | − | 31.7902i | 0.596428 | − | 1.03304i | −0.396915 | − | 0.917855i | \(-0.629919\pi\) |
0.993344 | − | 0.115189i | \(-0.0367473\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.862635 | + | 0.384070i | 0.0280023 | + | 0.0124674i | ||||
\(950\) | 0.138630 | − | 1.31897i | 0.00449774 | − | 0.0427931i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 6.98974 | + | 1.48572i | 0.226539 | + | 0.0481523i | ||||
\(953\) | −7.68034 | − | 5.58009i | −0.248791 | − | 0.180757i | 0.456400 | − | 0.889775i | \(-0.349139\pi\) |
−0.705191 | + | 0.709018i | \(0.749139\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.27051 | + | 6.98791i | −0.0734720 | + | 0.226123i | ||||
\(956\) | −9.70820 | + | 16.8151i | −0.313986 | + | 0.543839i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −2.24671 | − | 3.89142i | −0.0725879 | − | 0.125726i | ||||
\(959\) | 8.42971 | − | 1.79179i | 0.272210 | − | 0.0578599i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −27.9710 | + | 12.4535i | −0.902289 | + | 0.401725i | ||||
\(962\) | 3.88854 | + | 11.9677i | 0.125372 | + | 0.385854i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −40.2492 | − | 29.2428i | −1.29634 | − | 0.941846i | ||||
\(965\) | 1.42125 | + | 13.5223i | 0.0457516 | + | 0.435297i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −26.2426 | − | 45.4536i | −0.843907 | − | 1.46169i | −0.886567 | − | 0.462599i | \(-0.846917\pi\) |
0.0426608 | − | 0.999090i | \(-0.486417\pi\) | |||||||
\(968\) | 13.3146 | + | 9.21682i | 0.427949 | + | 0.296240i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 1.89552 | + | 2.10519i | 0.0608616 | + | 0.0675937i | ||||
\(971\) | 7.50000 | − | 5.44907i | 0.240686 | − | 0.174869i | −0.460903 | − | 0.887451i | \(-0.652474\pi\) |
0.701589 | + | 0.712582i | \(0.252474\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.00000 | − | 9.23305i | −0.0961756 | − | 0.295998i | ||||
\(974\) | 4.84910 | + | 1.03071i | 0.155375 | + | 0.0330260i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 31.1938 | + | 13.8884i | 0.998490 | + | 0.444556i | ||||
\(977\) | 15.4195 | − | 3.27751i | 0.493312 | − | 0.104857i | 0.0454632 | − | 0.998966i | \(-0.485524\pi\) |
0.447849 | + | 0.894109i | \(0.352190\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −18.2983 | − | 12.9781i | −0.584817 | − | 0.414781i | ||||
\(980\) | 13.7508 | 0.439252 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 2.26393 | − | 1.64484i | 0.0722450 | − | 0.0524890i | ||||
\(983\) | −8.45701 | + | 3.76531i | −0.269737 | + | 0.120095i | −0.537148 | − | 0.843488i | \(-0.680498\pi\) |
0.267411 | + | 0.963582i | \(0.413832\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −6.81198 | + | 7.56547i | −0.217048 | + | 0.241056i | ||||
\(986\) | 0.940756 | − | 8.95070i | 0.0299598 | − | 0.285048i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 8.02957 | + | 8.91774i | 0.255455 | + | 0.283711i | ||||
\(989\) | −8.56231 | −0.272265 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 20.5967 | 0.654277 | 0.327139 | − | 0.944976i | \(-0.393916\pi\) | ||||
0.327139 | + | 0.944976i | \(0.393916\pi\) | |||||||
\(992\) | 1.71452 | + | 1.90416i | 0.0544360 | + | 0.0604573i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.116179 | − | 1.10537i | 0.00368497 | − | 0.0350601i | ||||
\(995\) | −5.91031 | + | 6.56406i | −0.187369 | + | 0.208095i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 6.74376 | − | 3.00252i | 0.213577 | − | 0.0950906i | −0.297160 | − | 0.954828i | \(-0.596039\pi\) |
0.510737 | + | 0.859737i | \(0.329373\pi\) | |||||||
\(998\) | −11.8713 | + | 8.62502i | −0.375780 | + | 0.273020i | ||||
\(999\) | 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 | 297.2.n.a.262.1 | 8 | ||
3.2 | odd | 2 | 99.2.m.a.97.1 | yes | 8 | ||
9.2 | odd | 6 | 891.2.f.b.163.1 | 4 | |||
9.4 | even | 3 | inner | 297.2.n.a.64.1 | 8 | ||
9.5 | odd | 6 | 99.2.m.a.31.1 | yes | 8 | ||
9.7 | even | 3 | 891.2.f.a.163.1 | 4 | |||
11.5 | even | 5 | inner | 297.2.n.a.181.1 | 8 | ||
33.5 | odd | 10 | 99.2.m.a.16.1 | ✓ | 8 | ||
33.26 | odd | 10 | 1089.2.e.g.727.1 | 4 | |||
33.29 | even | 10 | 1089.2.e.d.727.2 | 4 | |||
99.5 | odd | 30 | 99.2.m.a.49.1 | yes | 8 | ||
99.7 | odd | 30 | 9801.2.a.m.1.2 | 2 | |||
99.16 | even | 15 | 891.2.f.a.82.1 | 4 | |||
99.29 | even | 30 | 9801.2.a.bc.1.1 | 2 | |||
99.38 | odd | 30 | 891.2.f.b.82.1 | 4 | |||
99.49 | even | 15 | inner | 297.2.n.a.280.1 | 8 | ||
99.59 | odd | 30 | 1089.2.e.g.364.1 | 4 | |||
99.70 | even | 15 | 9801.2.a.bb.1.1 | 2 | |||
99.92 | odd | 30 | 9801.2.a.n.1.2 | 2 | |||
99.95 | even | 30 | 1089.2.e.d.364.2 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.a.16.1 | ✓ | 8 | 33.5 | odd | 10 | ||
99.2.m.a.31.1 | yes | 8 | 9.5 | odd | 6 | ||
99.2.m.a.49.1 | yes | 8 | 99.5 | odd | 30 | ||
99.2.m.a.97.1 | yes | 8 | 3.2 | odd | 2 | ||
297.2.n.a.64.1 | 8 | 9.4 | even | 3 | inner | ||
297.2.n.a.181.1 | 8 | 11.5 | even | 5 | inner | ||
297.2.n.a.262.1 | 8 | 1.1 | even | 1 | trivial | ||
297.2.n.a.280.1 | 8 | 99.49 | even | 15 | inner | ||
891.2.f.a.82.1 | 4 | 99.16 | even | 15 | |||
891.2.f.a.163.1 | 4 | 9.7 | even | 3 | |||
891.2.f.b.82.1 | 4 | 99.38 | odd | 30 | |||
891.2.f.b.163.1 | 4 | 9.2 | odd | 6 | |||
1089.2.e.d.364.2 | 4 | 99.95 | even | 30 | |||
1089.2.e.d.727.2 | 4 | 33.29 | even | 10 | |||
1089.2.e.g.364.1 | 4 | 99.59 | odd | 30 | |||
1089.2.e.g.727.1 | 4 | 33.26 | odd | 10 | |||
9801.2.a.m.1.2 | 2 | 99.7 | odd | 30 | |||
9801.2.a.n.1.2 | 2 | 99.92 | odd | 30 | |||
9801.2.a.bb.1.1 | 2 | 99.70 | even | 15 | |||
9801.2.a.bc.1.1 | 2 | 99.29 | even | 30 |