Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [675,2,Mod(46,675)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(675, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("675.46");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 675 = 3^{3} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 675.r (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: | \(5.38990213644\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | no (minimal twist has level 225) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 181.1 | ||
Character | \(\chi\) | \(=\) | 675.181 |
Dual form | 675.2.r.a.496.1 |
$q$-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 \(\left(\mathbb{Z}/675\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(352\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.68409 | − | 0.570520i | −1.89794 | − | 0.403419i | −0.898564 | − | 0.438842i | \(-0.855389\pi\) |
−0.999372 | + | 0.0354233i | \(0.988722\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 5.05174 | + | 2.24918i | 2.52587 | + | 1.12459i | ||||
\(5\) | −0.420615 | + | 2.19615i | −0.188105 | + | 0.982149i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.931182 | + | 1.61286i | −0.351954 | + | 0.609602i | −0.986592 | − | 0.163208i | \(-0.947816\pi\) |
0.634638 | + | 0.772810i | \(0.281149\pi\) | |||||||
\(8\) | −7.83615 | − | 5.69329i | −2.77050 | − | 2.01288i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.38192 | − | 5.65469i | 0.753229 | − | 1.78817i | ||||
\(11\) | 2.70264 | + | 0.574464i | 0.814878 | + | 0.173208i | 0.596455 | − | 0.802647i | \(-0.296576\pi\) |
0.218423 | + | 0.975854i | \(0.429909\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.65646 | + | 0.352091i | −0.459419 | + | 0.0976525i | −0.431807 | − | 0.901966i | \(-0.642124\pi\) |
−0.0276122 | + | 0.999619i | \(0.508790\pi\) | |||||||
\(14\) | 3.41954 | − | 3.79779i | 0.913911 | − | 1.01500i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 10.3844 | + | 11.5331i | 2.59610 | + | 2.88327i | ||||
\(17\) | 5.11464 | + | 3.71600i | 1.24048 | + | 0.901263i | 0.997630 | − | 0.0688008i | \(-0.0219173\pi\) |
0.242851 | + | 0.970064i | \(0.421917\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.23445 | + | 0.896882i | 0.283203 | + | 0.205759i | 0.720313 | − | 0.693649i | \(-0.243998\pi\) |
−0.437110 | + | 0.899408i | \(0.643998\pi\) | |||||||
\(20\) | −7.06438 | + | 10.1484i | −1.57964 | + | 2.26924i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −6.92639 | − | 3.08383i | −1.47671 | − | 0.657474i | ||||
\(23\) | −0.327461 | + | 0.363683i | −0.0682804 | + | 0.0758331i | −0.776317 | − | 0.630343i | \(-0.782914\pi\) |
0.708037 | + | 0.706176i | \(0.249581\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.64617 | − | 1.84747i | −0.929233 | − | 0.369494i | ||||
\(26\) | 4.64695 | 0.911343 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −8.33169 | + | 6.05333i | −1.57454 | + | 1.14397i | ||||
\(29\) | 0.189122 | + | 1.79938i | 0.0351191 | + | 0.334136i | 0.997948 | + | 0.0640249i | \(0.0203937\pi\) |
−0.962829 | + | 0.270111i | \(0.912940\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.285758 | − | 2.71880i | 0.0513236 | − | 0.488312i | −0.938424 | − | 0.345485i | \(-0.887714\pi\) |
0.989748 | − | 0.142826i | \(-0.0456190\pi\) | |||||||
\(32\) | −11.6068 | − | 20.1036i | −2.05182 | − | 3.55385i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −11.6081 | − | 12.8921i | −1.99077 | − | 2.21097i | ||||
\(35\) | −3.15040 | − | 2.72341i | −0.532516 | − | 0.460340i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.30318 | − | 4.01076i | 0.214241 | − | 0.659366i | −0.784966 | − | 0.619539i | \(-0.787319\pi\) |
0.999207 | − | 0.0398264i | \(-0.0126805\pi\) | |||||||
\(38\) | −2.80169 | − | 3.11159i | −0.454494 | − | 0.504766i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 15.7993 | − | 14.8147i | 2.49809 | − | 2.34241i | ||||
\(41\) | −3.71670 | + | 0.790010i | −0.580452 | + | 0.123379i | −0.488775 | − | 0.872410i | \(-0.662556\pi\) |
−0.0916768 | + | 0.995789i | \(0.529223\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.30871 | + | 9.19495i | −0.809571 | + | 1.40222i | 0.103591 | + | 0.994620i | \(0.466967\pi\) |
−0.913162 | + | 0.407597i | \(0.866367\pi\) | |||||||
\(44\) | 12.3610 | + | 8.98078i | 1.86349 | + | 1.35390i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.08642 | − | 0.789333i | 0.160184 | − | 0.116381i | ||||
\(47\) | −0.670718 | − | 6.38145i | −0.0978342 | − | 0.930831i | −0.927816 | − | 0.373039i | \(-0.878316\pi\) |
0.829981 | − | 0.557791i | \(-0.188351\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.76580 | + | 3.05845i | 0.252257 | + | 0.436922i | ||||
\(50\) | 11.4167 | + | 7.60951i | 1.61456 | + | 1.07615i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −9.15992 | − | 1.94700i | −1.27025 | − | 0.270000i | ||||
\(53\) | −4.80881 | + | 3.49380i | −0.660540 | + | 0.479911i | −0.866845 | − | 0.498577i | \(-0.833856\pi\) |
0.206305 | + | 0.978488i | \(0.433856\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.39838 | + | 5.69379i | −0.323398 | + | 0.767750i | ||||
\(56\) | 16.4793 | − | 7.33707i | 2.20214 | − | 0.980458i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.518961 | − | 4.93758i | 0.0681429 | − | 0.648336i | ||||
\(59\) | −9.93588 | + | 2.11194i | −1.29354 | + | 0.274951i | −0.802744 | − | 0.596323i | \(-0.796628\pi\) |
−0.490797 | + | 0.871274i | \(0.663294\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.13090 | − | 1.51572i | −0.913019 | − | 0.194068i | −0.272630 | − | 0.962119i | \(-0.587893\pi\) |
−0.640389 | + | 0.768051i | \(0.721227\pi\) | |||||||
\(62\) | −2.31813 | + | 7.13448i | −0.294403 | + | 0.906079i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 10.0928 | + | 31.0624i | 1.26160 | + | 3.88280i | ||||
\(65\) | −0.0765136 | − | 3.78593i | −0.00949034 | − | 0.469587i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.914005 | − | 8.69618i | 0.111664 | − | 1.06241i | −0.784939 | − | 0.619572i | \(-0.787306\pi\) |
0.896603 | − | 0.442835i | \(-0.146027\pi\) | |||||||
\(68\) | 17.4799 | + | 30.2760i | 2.11975 | + | 3.67151i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 6.90220 | + | 9.10724i | 0.824971 | + | 1.08852i | ||||
\(71\) | −2.74292 | + | 1.99285i | −0.325524 | + | 0.236507i | −0.738529 | − | 0.674222i | \(-0.764479\pi\) |
0.413005 | + | 0.910729i | \(0.364479\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.80018 | + | 14.7734i | 0.561818 | + | 1.72910i | 0.677221 | + | 0.735780i | \(0.263184\pi\) |
−0.115403 | + | 0.993319i | \(0.536816\pi\) | |||||||
\(74\) | −5.78606 | + | 10.0218i | −0.672616 | + | 1.16501i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.21888 | + | 7.30732i | 0.483939 | + | 0.838207i | ||||
\(77\) | −3.44318 | + | 3.82404i | −0.392387 | + | 0.435790i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.34121 | + | 12.7607i | 0.150898 | + | 1.43570i | 0.763757 | + | 0.645503i | \(0.223352\pi\) |
−0.612860 | + | 0.790192i | \(0.709981\pi\) | |||||||
\(80\) | −29.6962 | + | 17.9548i | −3.32014 | + | 2.00740i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 10.4267 | 1.15143 | ||||||||
\(83\) | 0.803423 | − | 0.357707i | 0.0881871 | − | 0.0392634i | −0.362169 | − | 0.932112i | \(-0.617964\pi\) |
0.450356 | + | 0.892849i | \(0.351297\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −10.3122 | + | 9.66951i | −1.11851 | + | 1.04881i | ||||
\(86\) | 19.4950 | − | 21.6513i | 2.10219 | − | 2.33472i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −17.9077 | − | 19.8885i | −1.90897 | − | 2.12012i | ||||
\(89\) | −1.51233 | − | 4.65447i | −0.160306 | − | 0.493372i | 0.838353 | − | 0.545127i | \(-0.183519\pi\) |
−0.998660 | + | 0.0517547i | \(0.983519\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.974593 | − | 2.99949i | 0.102165 | − | 0.314432i | ||||
\(92\) | −2.47224 | + | 1.10071i | −0.257749 | + | 0.114757i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.84048 | + | 17.5110i | −0.189831 | + | 1.80613i | ||||
\(95\) | −2.48892 | + | 2.33380i | −0.255358 | + | 0.239443i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.396958 | + | 3.77680i | 0.0403049 | + | 0.383476i | 0.996016 | + | 0.0891705i | \(0.0284216\pi\) |
−0.955711 | + | 0.294305i | \(0.904912\pi\) | |||||||
\(98\) | −2.99465 | − | 9.21658i | −0.302505 | − | 0.931015i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −19.3159 | − | 19.7830i | −1.93159 | − | 1.97830i | ||||
\(101\) | −3.33145 | + | 5.77025i | −0.331492 | + | 0.574161i | −0.982805 | − | 0.184648i | \(-0.940885\pi\) |
0.651313 | + | 0.758810i | \(0.274219\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.40438 | − | 0.625269i | −0.138377 | − | 0.0616096i | 0.336380 | − | 0.941726i | \(-0.390797\pi\) |
−0.474757 | + | 0.880117i | \(0.657464\pi\) | |||||||
\(104\) | 14.9848 | + | 6.67167i | 1.46938 | + | 0.654211i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 14.9005 | − | 6.63415i | 1.44727 | − | 0.644366i | ||||
\(107\) | 14.6327 | 1.41460 | 0.707299 | − | 0.706914i | \(-0.249913\pi\) | ||||
0.707299 | + | 0.706914i | \(0.249913\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.620591 | − | 1.90998i | 0.0594418 | − | 0.182943i | −0.916927 | − | 0.399056i | \(-0.869338\pi\) |
0.976368 | + | 0.216113i | \(0.0693379\pi\) | |||||||
\(110\) | 9.68590 | − | 13.9143i | 0.923514 | − | 1.32668i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −28.2709 | + | 6.00918i | −2.67135 | + | 0.567814i | ||||
\(113\) | −13.0613 | + | 2.77626i | −1.22870 | + | 0.261169i | −0.776138 | − | 0.630563i | \(-0.782824\pi\) |
−0.452565 | + | 0.891732i | \(0.649491\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.660967 | − | 0.872125i | −0.0616355 | − | 0.0813261i | ||||
\(116\) | −3.09173 | + | 9.51536i | −0.287060 | + | 0.883479i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 27.8737 | 2.56598 | ||||||||
\(119\) | −10.7560 | + | 4.78889i | −0.986004 | + | 0.438997i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.07473 | − | 1.36896i | −0.279521 | − | 0.124451i | ||||
\(122\) | 18.2752 | + | 8.13665i | 1.65456 | + | 0.736658i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 7.55865 | − | 13.0920i | 0.678787 | − | 1.17569i | ||||
\(125\) | 6.01157 | − | 9.42661i | 0.537692 | − | 0.843142i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.59486 | + | 4.90847i | 0.141521 | + | 0.435556i | 0.996547 | − | 0.0830282i | \(-0.0264591\pi\) |
−0.855026 | + | 0.518585i | \(0.826459\pi\) | |||||||
\(128\) | −4.51521 | − | 42.9594i | −0.399092 | − | 3.79711i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.95458 | + | 10.2054i | −0.171428 | + | 0.895074i | ||||
\(131\) | −1.24905 | + | 11.8839i | −0.109130 | + | 1.03830i | 0.793701 | + | 0.608307i | \(0.208151\pi\) |
−0.902831 | + | 0.429995i | \(0.858515\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.59604 | + | 1.15583i | −0.225105 | + | 0.100223i | ||||
\(134\) | −7.41462 | + | 22.8199i | −0.640526 | + | 1.97134i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −18.9228 | − | 58.2383i | −1.62261 | − | 4.99389i | ||||
\(137\) | 2.90001 | + | 3.22078i | 0.247764 | + | 0.275170i | 0.854180 | − | 0.519978i | \(-0.174060\pi\) |
−0.606415 | + | 0.795148i | \(0.707393\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.91270 | − | 9.89856i | 0.755966 | − | 0.839585i | −0.235237 | − | 0.971938i | \(-0.575587\pi\) |
0.991203 | + | 0.132353i | \(0.0422533\pi\) | |||||||
\(140\) | −9.78959 | − | 20.8438i | −0.827372 | − | 1.76162i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 8.49919 | − | 3.78408i | 0.713236 | − | 0.317553i | ||||
\(143\) | −4.67908 | −0.391284 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.03125 | − | 0.341505i | −0.334777 | − | 0.0283604i | ||||
\(146\) | −4.45555 | − | 42.3918i | −0.368744 | − | 3.50837i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 15.6042 | − | 17.3303i | 1.28266 | − | 1.42454i | ||||
\(149\) | 1.42735 | + | 2.47225i | 0.116933 | + | 0.202535i | 0.918551 | − | 0.395303i | \(-0.129360\pi\) |
−0.801618 | + | 0.597837i | \(0.796027\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.61232 | − | 9.72082i | 0.456724 | − | 0.791069i | −0.542062 | − | 0.840339i | \(-0.682356\pi\) |
0.998786 | + | 0.0492697i | \(0.0156894\pi\) | |||||||
\(152\) | −4.56713 | − | 14.0562i | −0.370443 | − | 1.14011i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 11.4235 | − | 8.29965i | 0.920531 | − | 0.668805i | ||||
\(155\) | 5.85071 | + | 1.77114i | 0.469940 | + | 0.142261i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.23692 | − | 12.5347i | −0.577569 | − | 1.00038i | −0.995757 | − | 0.0920188i | \(-0.970668\pi\) |
0.418188 | − | 0.908360i | \(-0.362665\pi\) | |||||||
\(158\) | 3.68034 | − | 35.0161i | 0.292792 | − | 2.78573i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 49.0326 | − | 17.0345i | 3.87637 | − | 1.34669i | ||||
\(161\) | −0.281641 | − | 0.866803i | −0.0221964 | − | 0.0683136i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.58162 | − | 7.94542i | 0.202208 | − | 0.622333i | −0.797608 | − | 0.603176i | \(-0.793902\pi\) |
0.999816 | − | 0.0191571i | \(-0.00609828\pi\) | |||||||
\(164\) | −20.5527 | − | 4.36861i | −1.60490 | − | 0.341131i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.36054 | + | 0.501747i | −0.183213 | + | 0.0389432i | ||||
\(167\) | 1.18258 | − | 11.2515i | 0.0915109 | − | 0.870668i | −0.848425 | − | 0.529316i | \(-0.822449\pi\) |
0.939936 | − | 0.341352i | \(-0.110885\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.25621 | + | 4.12113i | −0.712016 | + | 0.317010i | ||||
\(170\) | 33.1955 | − | 20.0705i | 2.54598 | − | 1.53934i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −47.4993 | + | 34.5103i | −3.62179 | + | 2.63139i | ||||
\(173\) | 6.21968 | + | 1.32203i | 0.472874 | + | 0.100512i | 0.438183 | − | 0.898886i | \(-0.355622\pi\) |
0.0346904 | + | 0.999398i | \(0.488955\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 7.30613 | − | 5.77326i | 0.552291 | − | 0.436417i | ||||
\(176\) | 21.4400 | + | 37.1352i | 1.61610 | + | 2.79917i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.40375 | + | 13.3558i | 0.105216 | + | 1.00106i | ||||
\(179\) | −5.40088 | + | 3.92397i | −0.403681 | + | 0.293291i | −0.771039 | − | 0.636788i | \(-0.780262\pi\) |
0.367358 | + | 0.930080i | \(0.380262\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 5.85623 | + | 4.25480i | 0.435290 | + | 0.316257i | 0.783761 | − | 0.621063i | \(-0.213299\pi\) |
−0.348470 | + | 0.937320i | \(0.613299\pi\) | |||||||
\(182\) | −4.32716 | + | 7.49486i | −0.320751 | + | 0.555556i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.63659 | − | 0.985537i | 0.341814 | − | 0.0726547i | ||||
\(185\) | 8.26011 | + | 4.54896i | 0.607295 | + | 0.334446i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 11.6883 | + | 12.9812i | 0.854735 | + | 0.949280i | ||||
\(188\) | 10.9647 | − | 33.7460i | 0.799686 | − | 2.46118i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 8.01195 | − | 4.84415i | 0.581248 | − | 0.351431i | ||||
\(191\) | −0.759730 | − | 0.843766i | −0.0549721 | − | 0.0610527i | 0.715032 | − | 0.699092i | \(-0.246412\pi\) |
−0.770004 | + | 0.638039i | \(0.779746\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.53746 | + | 2.66296i | 0.110669 | + | 0.191684i | 0.916040 | − | 0.401087i | \(-0.131367\pi\) |
−0.805371 | + | 0.592771i | \(0.798034\pi\) | |||||||
\(194\) | 1.08927 | − | 10.3637i | 0.0782052 | − | 0.744073i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.04135 | + | 19.4221i | 0.145811 | + | 1.38729i | ||||
\(197\) | −18.8592 | + | 13.7020i | −1.34366 | + | 0.976227i | −0.344360 | + | 0.938838i | \(0.611904\pi\) |
−0.999301 | + | 0.0373893i | \(0.988096\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −18.6167 | −1.31970 | −0.659851 | − | 0.751396i | \(-0.729381\pi\) | ||||
−0.659851 | + | 0.751396i | \(0.729381\pi\) | |||||||
\(200\) | 25.8898 | + | 40.9290i | 1.83069 | + | 2.89412i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 12.2340 | − | 13.5872i | 0.860778 | − | 0.955991i | ||||
\(203\) | −3.07824 | − | 1.37052i | −0.216050 | − | 0.0961917i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.171679 | − | 8.49473i | −0.0119905 | − | 0.593298i | ||||
\(206\) | 3.41274 | + | 2.47950i | 0.237777 | + | 0.172755i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −21.2620 | − | 15.4478i | −1.47426 | − | 1.07111i | ||||
\(209\) | 2.82106 | + | 3.13310i | 0.195136 | + | 0.216721i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.70340 | + | 8.55549i | −0.530324 | + | 0.588984i | −0.947466 | − | 0.319857i | \(-0.896365\pi\) |
0.417142 | + | 0.908841i | \(0.363032\pi\) | |||||||
\(212\) | −32.1510 | + | 6.83391i | −2.20814 | + | 0.469355i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −39.2755 | − | 8.34827i | −2.68482 | − | 0.570676i | ||||
\(215\) | −17.9606 | − | 15.5263i | −1.22490 | − | 1.05888i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.11894 | + | 2.99259i | 0.279612 | + | 0.203150i | ||||
\(218\) | −2.75541 | + | 4.77250i | −0.186620 | + | 0.323235i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −24.9224 | + | 23.3691i | −1.68027 | + | 1.57555i | ||||
\(221\) | −9.78055 | − | 4.35458i | −0.657911 | − | 0.292921i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 2.00257 | + | 0.425659i | 0.134102 | + | 0.0285043i | 0.274474 | − | 0.961595i | \(-0.411496\pi\) |
−0.140372 | + | 0.990099i | \(0.544830\pi\) | |||||||
\(224\) | 43.2323 | 2.88858 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 36.6416 | 2.43736 | ||||||||
\(227\) | 14.8654 | + | 3.15974i | 0.986653 | + | 0.209720i | 0.672858 | − | 0.739771i | \(-0.265066\pi\) |
0.313795 | + | 0.949491i | \(0.398400\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.192216 | − | 0.0855802i | −0.0127020 | − | 0.00565530i | 0.400376 | − | 0.916351i | \(-0.368880\pi\) |
−0.413078 | + | 0.910696i | \(0.635546\pi\) | |||||||
\(230\) | 1.27653 | + | 2.71796i | 0.0841718 | + | 0.179217i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 8.76239 | − | 15.1769i | 0.575279 | − | 0.996413i | ||||
\(233\) | 13.5683 | + | 9.85792i | 0.888887 | + | 0.645814i | 0.935587 | − | 0.353095i | \(-0.114871\pi\) |
−0.0467009 | + | 0.998909i | \(0.514871\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 14.2968 | + | 1.21114i | 0.932617 | + | 0.0790060i | ||||
\(236\) | −54.9436 | − | 11.6786i | −3.57653 | − | 0.760214i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 31.6023 | − | 6.71727i | 2.04847 | − | 0.435416i | ||||
\(239\) | 16.5230 | − | 18.3506i | 1.06878 | − | 1.18700i | 0.0871544 | − | 0.996195i | \(-0.472223\pi\) |
0.981627 | − | 0.190808i | \(-0.0611107\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.03608 | − | 2.26129i | −0.131155 | − | 0.145663i | 0.673990 | − | 0.738741i | \(-0.264579\pi\) |
−0.805145 | + | 0.593078i | \(0.797913\pi\) | |||||||
\(242\) | 7.47183 | + | 5.42860i | 0.480307 | + | 0.348964i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −32.6144 | − | 23.6957i | −2.08792 | − | 1.51696i | ||||
\(245\) | −7.45955 | + | 2.59153i | −0.476573 | + | 0.165567i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.36060 | − | 1.05101i | −0.150201 | − | 0.0668740i | ||||
\(248\) | −17.7182 | + | 19.6780i | −1.12511 | + | 1.24956i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −21.5137 | + | 21.8721i | −1.36064 | + | 1.38331i | ||||
\(251\) | 24.9480 | 1.57470 | 0.787352 | − | 0.616504i | \(-0.211452\pi\) | ||||
0.787352 | + | 0.616504i | \(0.211452\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.09393 | + | 0.794789i | −0.0687750 | + | 0.0499680i | ||||
\(254\) | −1.48036 | − | 14.0847i | −0.0928859 | − | 0.883751i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −5.56198 | + | 52.9187i | −0.347624 | + | 3.30742i | ||||
\(257\) | 2.15283 | + | 3.72881i | 0.134290 | + | 0.232597i | 0.925326 | − | 0.379172i | \(-0.123791\pi\) |
−0.791036 | + | 0.611770i | \(0.790458\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.25529 | + | 5.83659i | 0.326548 | + | 0.362668i | ||||
\(260\) | 8.12871 | − | 19.2976i | 0.504121 | − | 1.19679i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 10.1326 | − | 31.1849i | 0.625992 | − | 1.92661i | ||||
\(263\) | 8.56916 | + | 9.51702i | 0.528397 | + | 0.586844i | 0.946963 | − | 0.321342i | \(-0.104134\pi\) |
−0.418566 | + | 0.908186i | \(0.637467\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −5.65026 | − | 12.0304i | −0.347093 | − | 0.739023i | ||||
\(266\) | 7.62742 | − | 1.62126i | 0.467667 | − | 0.0994058i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 24.1766 | − | 41.8751i | 1.47682 | − | 2.55793i | ||||
\(269\) | −16.3393 | − | 11.8712i | −0.996227 | − | 0.723801i | −0.0349513 | − | 0.999389i | \(-0.511128\pi\) |
−0.961276 | + | 0.275588i | \(0.911128\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.40204 | − | 4.65136i | 0.388897 | − | 0.282550i | −0.376107 | − | 0.926576i | \(-0.622737\pi\) |
0.765003 | + | 0.644027i | \(0.222737\pi\) | |||||||
\(272\) | 10.2556 | + | 97.5760i | 0.621840 | + | 5.91641i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −5.94635 | − | 10.2994i | −0.359232 | − | 0.622208i | ||||
\(275\) | −11.4956 | − | 7.66211i | −0.693212 | − | 0.462043i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.176092 | − | 0.0374296i | −0.0105804 | − | 0.00224892i | 0.202618 | − | 0.979258i | \(-0.435055\pi\) |
−0.213199 | + | 0.977009i | \(0.568388\pi\) | |||||||
\(278\) | −29.5698 | + | 21.4837i | −1.77348 | + | 1.28851i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 9.18186 | + | 39.2772i | 0.548721 | + | 2.34726i | ||||
\(281\) | 1.48639 | − | 0.661783i | 0.0886705 | − | 0.0394786i | −0.361922 | − | 0.932208i | \(-0.617879\pi\) |
0.450593 | + | 0.892730i | \(0.351213\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.382272 | − | 3.63707i | 0.0227237 | − | 0.216201i | −0.977268 | − | 0.212010i | \(-0.931999\pi\) |
0.999991 | − | 0.00419159i | \(-0.00133423\pi\) | |||||||
\(284\) | −18.3388 | + | 3.89803i | −1.08821 | + | 0.231305i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 12.5591 | + | 2.66951i | 0.742633 | + | 0.157851i | ||||
\(287\) | 2.18676 | − | 6.73015i | 0.129080 | − | 0.397268i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.09756 | + | 21.8440i | 0.417503 | + | 1.28494i | ||||
\(290\) | 10.6254 | + | 3.21654i | 0.623945 | + | 0.188882i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −8.97884 | + | 85.4280i | −0.525447 | + | 4.99929i | ||||
\(293\) | −12.2406 | − | 21.2013i | −0.715101 | − | 1.23859i | −0.962921 | − | 0.269785i | \(-0.913047\pi\) |
0.247820 | − | 0.968806i | \(-0.420286\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.458949 | − | 22.7090i | −0.0267210 | − | 1.32217i | ||||
\(296\) | −33.0463 | + | 24.0096i | −1.92078 | + | 1.39553i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −2.42067 | − | 7.45007i | −0.140226 | − | 0.431571i | ||||
\(299\) | 0.414377 | − | 0.717721i | 0.0239640 | − | 0.0415069i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −9.88675 | − | 17.1244i | −0.569863 | − | 0.987032i | ||||
\(302\) | −20.6099 | + | 22.8896i | −1.18597 | + | 1.31715i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.47527 | + | 23.5506i | 0.141966 | + | 1.35072i | ||||
\(305\) | 6.32812 | − | 15.0230i | 0.362347 | − | 0.860215i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 3.80945 | 0.217417 | 0.108708 | − | 0.994074i | \(-0.465329\pi\) | ||||
0.108708 | + | 0.994074i | \(0.465329\pi\) | |||||||
\(308\) | −25.9950 | + | 11.5737i | −1.48120 | + | 0.659474i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −14.6934 | − | 8.09184i | −0.834526 | − | 0.459586i | ||||
\(311\) | 16.8714 | − | 18.7375i | 0.956687 | − | 1.06251i | −0.0413039 | − | 0.999147i | \(-0.513151\pi\) |
0.997991 | − | 0.0633616i | \(-0.0201822\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 17.3585 | + | 19.2786i | 0.981161 | + | 1.08969i | 0.995960 | + | 0.0897989i | \(0.0286224\pi\) |
−0.0147991 | + | 0.999890i | \(0.504711\pi\) | |||||||
\(314\) | 12.2732 | + | 37.7731i | 0.692618 | + | 2.13166i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −21.9258 | + | 67.4806i | −1.23342 | + | 3.79608i | ||||
\(317\) | 20.9744 | − | 9.33841i | 1.17804 | − | 0.524497i | 0.278118 | − | 0.960547i | \(-0.410289\pi\) |
0.899923 | + | 0.436050i | \(0.143623\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.522549 | + | 4.97172i | −0.0292571 | + | 0.278363i | ||||
\(320\) | −72.4630 | + | 9.09997i | −4.05080 | + | 0.508704i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.261421 | + | 2.48726i | 0.0145684 | + | 0.138609i | ||||
\(323\) | 2.98096 | + | 9.17445i | 0.165865 | + | 0.510480i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 8.34666 | + | 1.42438i | 0.462989 | + | 0.0790106i | ||||
\(326\) | −11.4623 | + | 19.8533i | −0.634839 | + | 1.09957i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 33.6224 | + | 14.9697i | 1.85649 | + | 0.826561i | ||||
\(329\) | 10.9169 | + | 4.86053i | 0.601869 | + | 0.267969i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.62038 | − | 2.50235i | 0.308924 | − | 0.137542i | −0.246419 | − | 0.969163i | \(-0.579254\pi\) |
0.555343 | + | 0.831622i | \(0.312587\pi\) | |||||||
\(332\) | 4.86323 | 0.266904 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −9.59337 | + | 29.5254i | −0.524926 | + | 1.61556i | ||||
\(335\) | 18.7137 | + | 5.66504i | 1.02244 | + | 0.309514i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.7319 | − | 3.13136i | 0.802498 | − | 0.170576i | 0.211636 | − | 0.977349i | \(-0.432121\pi\) |
0.590862 | + | 0.806772i | \(0.298788\pi\) | |||||||
\(338\) | 27.1957 | − | 5.78061i | 1.47925 | − | 0.314424i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −73.8430 | + | 25.6539i | −4.00470 | + | 1.39128i | ||||
\(341\) | 2.33416 | − | 7.18380i | 0.126402 | − | 0.389024i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −19.6137 | −1.05904 | ||||||||
\(344\) | 93.9494 | − | 41.8290i | 5.06541 | − | 2.25527i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −15.9399 | − | 7.09691i | −0.856935 | − | 0.381532i | ||||
\(347\) | 15.3731 | + | 6.84453i | 0.825269 | + | 0.367434i | 0.775516 | − | 0.631328i | \(-0.217490\pi\) |
0.0497533 | + | 0.998762i | \(0.484156\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7.75462 | + | 13.4314i | −0.415096 | + | 0.718967i | −0.995438 | − | 0.0954057i | \(-0.969585\pi\) |
0.580343 | + | 0.814372i | \(0.302919\pi\) | |||||||
\(350\) | −22.9041 | + | 11.3276i | −1.22427 | + | 0.605488i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −19.8203 | − | 61.0006i | −1.05643 | − | 3.25134i | ||||
\(353\) | 0.982184 | + | 9.34486i | 0.0522764 | + | 0.497377i | 0.989065 | + | 0.147481i | \(0.0471164\pi\) |
−0.936789 | + | 0.349896i | \(0.886217\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.22288 | − | 6.86209i | −0.171053 | − | 0.364202i | ||||
\(356\) | 2.82885 | − | 26.9147i | 0.149928 | − | 1.42647i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 16.7351 | − | 7.45097i | 0.884480 | − | 0.393796i | ||||
\(359\) | 2.47394 | − | 7.61399i | 0.130569 | − | 0.401851i | −0.864305 | − | 0.502968i | \(-0.832241\pi\) |
0.994875 | + | 0.101116i | \(0.0322415\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.15185 | − | 15.8558i | −0.271150 | − | 0.834514i | ||||
\(362\) | −13.2912 | − | 14.7614i | −0.698569 | − | 0.775840i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 11.6698 | − | 12.9606i | 0.611663 | − | 0.679320i | ||||
\(365\) | −34.4637 | + | 4.32799i | −1.80391 | + | 0.226537i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 24.1256 | − | 10.7414i | 1.25935 | − | 0.560698i | 0.334990 | − | 0.942222i | \(-0.391267\pi\) |
0.924359 | + | 0.381524i | \(0.124601\pi\) | |||||||
\(368\) | −7.59487 | −0.395910 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −19.5756 | − | 16.9224i | −1.01769 | − | 0.879752i | ||||
\(371\) | −1.15712 | − | 11.0093i | −0.0600747 | − | 0.571573i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −13.8997 | + | 15.4372i | −0.719700 | + | 0.799308i | −0.986381 | − | 0.164477i | \(-0.947406\pi\) |
0.266681 | + | 0.963785i | \(0.414073\pi\) | |||||||
\(374\) | −23.9665 | − | 41.5111i | −1.23928 | − | 2.14649i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −31.0756 | + | 53.8246i | −1.60260 | + | 2.77579i | ||||
\(377\) | −0.946817 | − | 2.91400i | −0.0487636 | − | 0.150079i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 15.5059 | − | 11.2657i | 0.796485 | − | 0.578680i | −0.113396 | − | 0.993550i | \(-0.536173\pi\) |
0.909881 | + | 0.414870i | \(0.136173\pi\) | |||||||
\(380\) | −17.8225 | + | 6.19174i | −0.914276 | + | 0.317629i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.55780 | + | 2.69818i | 0.0797038 | + | 0.138051i | ||||
\(383\) | −2.52616 | + | 24.0348i | −0.129081 | + | 1.22812i | 0.717765 | + | 0.696285i | \(0.245165\pi\) |
−0.846846 | + | 0.531838i | \(0.821502\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −6.94992 | − | 9.17020i | −0.354201 | − | 0.467357i | ||||
\(386\) | −2.60740 | − | 8.02476i | −0.132713 | − | 0.408449i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −6.48938 | + | 19.9722i | −0.329448 | + | 1.01394i | ||||
\(389\) | −36.8855 | − | 7.84025i | −1.87017 | − | 0.397517i | −0.874073 | − | 0.485795i | \(-0.838530\pi\) |
−0.996096 | + | 0.0882786i | \(0.971863\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.02629 | + | 0.643258i | −0.153046 | + | 0.0325310i | ||||
\(392\) | 3.57561 | − | 34.0197i | 0.180596 | − | 1.71825i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 58.4370 | − | 26.0178i | 2.94401 | − | 1.31076i | ||||
\(395\) | −28.5887 | − | 2.42187i | −1.43845 | − | 0.121857i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 22.7545 | − | 16.5321i | 1.14202 | − | 0.829724i | 0.154618 | − | 0.987974i | \(-0.450585\pi\) |
0.987399 | + | 0.158251i | \(0.0505855\pi\) | |||||||
\(398\) | 49.9688 | + | 10.6212i | 2.50471 | + | 0.532393i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −26.9407 | − | 72.7694i | −1.34704 | − | 3.63847i | ||||
\(401\) | 11.7822 | + | 20.4073i | 0.588373 | + | 1.01909i | 0.994446 | + | 0.105251i | \(0.0335647\pi\) |
−0.406073 | + | 0.913841i | \(0.633102\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.483921 | + | 4.60420i | 0.0241058 | + | 0.229351i | ||||
\(404\) | −29.8080 | + | 21.6568i | −1.48300 | + | 1.07746i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 7.48036 | + | 5.43480i | 0.371244 | + | 0.269725i | ||||
\(407\) | 5.82606 | − | 10.0910i | 0.288787 | − | 0.500194i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −10.2783 | + | 2.18473i | −0.508231 | + | 0.108028i | −0.454888 | − | 0.890548i | \(-0.650321\pi\) |
−0.0533426 | + | 0.998576i | \(0.516988\pi\) | |||||||
\(410\) | −4.38562 | + | 22.8986i | −0.216590 | + | 1.13088i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −5.68821 | − | 6.31740i | −0.280238 | − | 0.311236i | ||||
\(413\) | 5.84587 | − | 17.9917i | 0.287656 | − | 0.885315i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.447647 | + | 1.91490i | 0.0219741 | + | 0.0939985i | ||||
\(416\) | 26.3045 | + | 29.2141i | 1.28969 | + | 1.43234i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −5.78446 | − | 10.0190i | −0.282927 | − | 0.490045i | ||||
\(419\) | 0.989526 | − | 9.41471i | 0.0483415 | − | 0.459939i | −0.943397 | − | 0.331665i | \(-0.892390\pi\) |
0.991739 | − | 0.128274i | \(-0.0409437\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.707686 | + | 6.73319i | 0.0344905 | + | 0.328155i | 0.998139 | + | 0.0609816i | \(0.0194231\pi\) |
−0.963648 | + | 0.267174i | \(0.913910\pi\) | |||||||
\(422\) | 25.5577 | − | 18.5687i | 1.24413 | − | 0.903912i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 57.5737 | 2.79603 | ||||||||
\(425\) | −16.8982 | − | 26.7143i | −0.819685 | − | 1.29583i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 9.08481 | − | 10.0897i | 0.439645 | − | 0.488275i | ||||
\(428\) | 73.9207 | + | 32.9116i | 3.57309 | + | 1.59084i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 39.3497 | + | 51.9208i | 1.89761 | + | 2.50384i | ||||
\(431\) | 20.0354 | + | 14.5565i | 0.965069 | + | 0.701164i | 0.954322 | − | 0.298779i | \(-0.0965792\pi\) |
0.0107465 | + | 0.999942i | \(0.496579\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 5.18591 | + | 3.76779i | 0.249219 | + | 0.181068i | 0.705381 | − | 0.708829i | \(-0.250776\pi\) |
−0.456162 | + | 0.889897i | \(0.650776\pi\) | |||||||
\(434\) | −9.34827 | − | 10.3823i | −0.448731 | − | 0.498367i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 7.43096 | − | 8.25292i | 0.355879 | − | 0.395243i | ||||
\(437\) | −0.730416 | + | 0.155255i | −0.0349405 | + | 0.00742684i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.251052 | + | 0.0533628i | 0.0119821 | + | 0.00254687i | 0.213899 | − | 0.976856i | \(-0.431384\pi\) |
−0.201917 | + | 0.979403i | \(0.564717\pi\) | |||||||
\(440\) | 51.2105 | − | 30.9626i | 2.44136 | − | 1.47609i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 23.7675 | + | 17.2681i | 1.13050 | + | 0.821359i | ||||
\(443\) | −7.32776 | + | 12.6920i | −0.348152 | + | 0.603017i | −0.985921 | − | 0.167210i | \(-0.946524\pi\) |
0.637769 | + | 0.770228i | \(0.279857\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 10.8580 | − | 1.36356i | 0.514720 | − | 0.0646390i | ||||
\(446\) | −5.13223 | − | 2.28501i | −0.243018 | − | 0.108199i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −59.4974 | − | 12.6466i | −2.81099 | − | 0.597494i | ||||
\(449\) | −15.5412 | −0.733436 | −0.366718 | − | 0.930332i | \(-0.619519\pi\) | ||||
−0.366718 | + | 0.930332i | \(0.619519\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.4988 | −0.494367 | ||||||||
\(452\) | −72.2266 | − | 15.3522i | −3.39725 | − | 0.722108i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −38.0974 | − | 16.9621i | −1.78800 | − | 0.796069i | ||||
\(455\) | 6.17740 | + | 3.40198i | 0.289601 | + | 0.159487i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7.26861 | − | 12.5896i | 0.340011 | − | 0.588916i | −0.644423 | − | 0.764669i | \(-0.722903\pi\) |
0.984434 | + | 0.175752i | \(0.0562358\pi\) | |||||||
\(458\) | 0.467100 | + | 0.339368i | 0.0218262 | + | 0.0158576i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −1.37747 | − | 5.89239i | −0.0642248 | − | 0.274734i | ||||
\(461\) | 3.21841 | + | 0.684094i | 0.149896 | + | 0.0318614i | 0.282249 | − | 0.959341i | \(-0.408920\pi\) |
−0.132352 | + | 0.991203i | \(0.542253\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 37.4109 | − | 7.95194i | 1.73863 | − | 0.369558i | 0.774007 | − | 0.633177i | \(-0.218249\pi\) |
0.964627 | + | 0.263619i | \(0.0849161\pi\) | |||||||
\(464\) | −18.7884 | + | 20.8666i | −0.872230 | + | 0.968709i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −30.7943 | − | 34.2005i | −1.42652 | − | 1.58431i | ||||
\(467\) | −4.63677 | − | 3.36881i | −0.214564 | − | 0.155890i | 0.475312 | − | 0.879817i | \(-0.342335\pi\) |
−0.689876 | + | 0.723927i | \(0.742335\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13.1746 | + | 9.57189i | 0.608345 | + | 0.441989i | ||||
\(470\) | −37.6828 | − | 11.4074i | −1.73818 | − | 0.526184i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 89.8829 | + | 40.0184i | 4.13720 | + | 1.84200i | ||||
\(473\) | −19.6297 | + | 21.8010i | −0.902576 | + | 1.00241i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.07850 | − | 6.44767i | −0.187135 | − | 0.295840i | ||||
\(476\) | −65.1078 | −2.98421 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −54.8185 | + | 39.8280i | −2.50734 | + | 1.82169i | ||||
\(479\) | −1.40830 | − | 13.3991i | −0.0643469 | − | 0.612220i | −0.978414 | − | 0.206656i | \(-0.933742\pi\) |
0.914067 | − | 0.405564i | \(-0.132925\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.746503 | + | 7.10250i | −0.0340376 | + | 0.323846i | ||||
\(482\) | 4.17490 | + | 7.23113i | 0.190161 | + | 0.329369i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −12.4537 | − | 13.8312i | −0.566078 | − | 0.628693i | ||||
\(485\) | −8.46139 | − | 0.716801i | −0.384212 | − | 0.0325483i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.88128 | + | 27.3338i | −0.402449 | + | 1.23861i | 0.520557 | + | 0.853827i | \(0.325724\pi\) |
−0.923006 | + | 0.384785i | \(0.874276\pi\) | |||||||
\(488\) | 47.2494 | + | 52.4757i | 2.13888 | + | 2.37547i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 21.5006 | − | 2.70007i | 0.971299 | − | 0.121977i | ||||
\(491\) | 15.6203 | − | 3.32021i | 0.704936 | − | 0.149839i | 0.158524 | − | 0.987355i | \(-0.449327\pi\) |
0.546412 | + | 0.837516i | \(0.315993\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5.71920 | + | 9.90594i | −0.257580 | + | 0.446141i | ||||
\(494\) | 5.73644 | + | 4.16777i | 0.258095 | + | 0.187517i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 34.3236 | − | 24.9375i | 1.54117 | − | 1.11973i | ||||
\(497\) | −0.660016 | − | 6.27963i | −0.0296058 | − | 0.281680i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.4973 | + | 18.1818i | 0.469922 | + | 0.813929i | 0.999409 | − | 0.0343894i | \(-0.0109486\pi\) |
−0.529486 | + | 0.848318i | \(0.677615\pi\) | |||||||
\(500\) | 51.5711 | − | 34.0997i | 2.30633 | − | 1.52498i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −66.9626 | − | 14.2333i | −2.98869 | − | 0.635265i | ||||
\(503\) | −3.48380 | + | 2.53113i | −0.155335 | + | 0.112857i | −0.662738 | − | 0.748852i | \(-0.730606\pi\) |
0.507403 | + | 0.861709i | \(0.330606\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −11.2711 | − | 9.74344i | −0.501557 | − | 0.433577i | ||||
\(506\) | 3.38966 | − | 1.50917i | 0.150689 | − | 0.0670909i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −2.98322 | + | 28.3835i | −0.132359 | + | 1.25931i | ||||
\(509\) | 41.2503 | − | 8.76803i | 1.82839 | − | 0.388636i | 0.840251 | − | 0.542198i | \(-0.182408\pi\) |
0.988139 | + | 0.153562i | \(0.0490745\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −28.2972 | − | 6.01476i | −1.25180 | − | 0.266077i | ||||
\(512\) | 18.4234 | − | 56.7015i | 0.814209 | − | 2.50588i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −3.65103 | − | 11.2367i | −0.161040 | − | 0.495630i | ||||
\(515\) | 1.96389 | − | 2.82123i | 0.0865393 | − | 0.124318i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.85321 | − | 17.6321i | 0.0815040 | − | 0.775459i | ||||
\(518\) | −10.7758 | − | 18.6642i | −0.473460 | − | 0.820056i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −20.9548 | + | 30.1027i | −0.918930 | + | 1.32009i | ||||
\(521\) | 25.2789 | − | 18.3662i | 1.10749 | − | 0.804637i | 0.125222 | − | 0.992129i | \(-0.460036\pi\) |
0.982266 | + | 0.187491i | \(0.0600356\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.4494 | − | 35.2378i | −0.500649 | − | 1.54084i | −0.807964 | − | 0.589232i | \(-0.799430\pi\) |
0.307314 | − | 0.951608i | \(-0.400570\pi\) | |||||||
\(524\) | −33.0389 | + | 57.2251i | −1.44331 | + | 2.49989i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −17.5707 | − | 30.4334i | −0.766120 | − | 1.32696i | ||||
\(527\) | 11.5646 | − | 12.8438i | 0.503763 | − | 0.559486i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.37912 | + | 22.6358i | 0.103440 | + | 0.984166i | ||||
\(530\) | 8.30220 | + | 35.5143i | 0.360625 | + | 1.54264i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −15.7142 | −0.681297 | ||||||||
\(533\) | 5.87841 | − | 2.61724i | 0.254622 | − | 0.113365i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −6.15475 | + | 32.1357i | −0.266093 | + | 1.38935i | ||||
\(536\) | −56.6722 | + | 62.9408i | −2.44787 | + | 2.71863i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 37.0834 | + | 41.1853i | 1.59878 | + | 1.77563i | ||||
\(539\) | 3.01535 | + | 9.28030i | 0.129880 | + | 0.399731i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −10.3961 | + | 31.9960i | −0.446965 | + | 1.37562i | 0.433350 | + | 0.901226i | \(0.357332\pi\) |
−0.880314 | + | 0.474391i | \(0.842668\pi\) | |||||||
\(542\) | −19.8373 | + | 8.83215i | −0.852087 | + | 0.379374i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 15.3404 | − | 145.954i | 0.657712 | − | 6.25771i | ||||
\(545\) | 3.93358 | + | 2.16628i | 0.168496 | + | 0.0927933i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.581655 | − | 5.53408i | −0.0248698 | − | 0.236620i | −0.999895 | − | 0.0145239i | \(-0.995377\pi\) |
0.975025 | − | 0.222096i | \(-0.0712899\pi\) | |||||||
\(548\) | 7.40596 | + | 22.7932i | 0.316367 | + | 0.973678i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 26.4839 | + | 27.1243i | 1.12928 | + | 1.15658i | ||||
\(551\) | −1.38037 | + | 2.39086i | −0.0588056 | + | 0.101854i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −21.8301 | − | 9.71940i | −0.928312 | − | 0.413311i | ||||
\(554\) | 0.451293 | + | 0.200928i | 0.0191736 | + | 0.00853663i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 67.2883 | − | 29.9587i | 2.85366 | − | 1.27053i | ||||
\(557\) | −37.0966 | −1.57183 | −0.785917 | − | 0.618332i | \(-0.787809\pi\) | ||||
−0.785917 | + | 0.618332i | \(0.787809\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.55619 | − | 17.1002i | 0.235002 | − | 0.723262i | ||||
\(560\) | −1.30587 | − | 64.6148i | −0.0551829 | − | 2.73048i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −4.36716 | + | 0.928268i | −0.184217 | + | 0.0391566i | ||||
\(563\) | −20.9186 | + | 4.44638i | −0.881612 | + | 0.187392i | −0.626408 | − | 0.779495i | \(-0.715476\pi\) |
−0.255203 | + | 0.966887i | \(0.582142\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.603315 | − | 29.8523i | −0.0253817 | − | 1.25590i | ||||
\(566\) | −3.10107 | + | 9.54412i | −0.130348 | + | 0.401169i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 32.8398 | 1.37793 | ||||||||
\(569\) | 13.8567 | − | 6.16939i | 0.580902 | − | 0.258634i | −0.0951807 | − | 0.995460i | \(-0.530343\pi\) |
0.676083 | + | 0.736826i | \(0.263676\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 34.7764 | + | 15.4834i | 1.45535 | + | 0.647962i | 0.973582 | − | 0.228339i | \(-0.0733296\pi\) |
0.481764 | + | 0.876301i | \(0.339996\pi\) | |||||||
\(572\) | −23.6375 | − | 10.5241i | −0.988333 | − | 0.440034i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −9.70913 | + | 16.8167i | −0.405251 | + | 0.701916i | ||||
\(575\) | 2.19333 | − | 1.08475i | 0.0914683 | − | 0.0452374i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 2.27456 | + | 7.00039i | 0.0946913 | + | 0.291430i | 0.987173 | − | 0.159653i | \(-0.0510377\pi\) |
−0.892482 | + | 0.451083i | \(0.851038\pi\) | |||||||
\(578\) | −6.58800 | − | 62.6806i | −0.274025 | − | 2.60717i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −19.5967 | − | 10.7922i | −0.813710 | − | 0.448122i | ||||
\(581\) | −0.171204 | + | 1.62889i | −0.00710273 | + | 0.0675779i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −15.0036 | + | 6.68001i | −0.621384 | + | 0.276658i | ||||
\(584\) | 46.4946 | − | 143.096i | 1.92396 | − | 5.92133i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 20.7590 | + | 63.8895i | 0.857545 | + | 2.63925i | ||||
\(587\) | 16.6264 | + | 18.4655i | 0.686247 | + | 0.762154i | 0.981124 | − | 0.193381i | \(-0.0619454\pi\) |
−0.294877 | + | 0.955535i | \(0.595279\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.79120 | − | 3.09994i | 0.115009 | − | 0.127731i | ||||
\(590\) | −11.7241 | + | 61.2148i | −0.482673 | + | 2.52017i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 59.7891 | − | 26.6198i | 2.45732 | − | 1.09407i | ||||
\(593\) | −43.3690 | −1.78095 | −0.890476 | − | 0.455030i | \(-0.849629\pi\) | ||||
−0.890476 | + | 0.455030i | \(0.849629\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −5.99299 | − | 25.6362i | −0.245688 | − | 1.05098i | ||||
\(596\) | 1.65009 | + | 15.6995i | 0.0675903 | + | 0.643079i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.52170 | + | 1.69002i | −0.0622268 | + | 0.0691099i | ||||
\(599\) | 5.35663 | + | 9.27796i | 0.218866 | + | 0.379087i | 0.954462 | − | 0.298334i | \(-0.0964309\pi\) |
−0.735596 | + | 0.677421i | \(0.763098\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8.90717 | − | 15.4277i | 0.363331 | − | 0.629308i | −0.625176 | − | 0.780484i | \(-0.714973\pi\) |
0.988507 | + | 0.151176i | \(0.0483060\pi\) | |||||||
\(602\) | 16.7671 | + | 51.6039i | 0.683377 | + | 2.10322i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 50.2159 | − | 36.4840i | 2.04325 | − | 1.48451i | ||||
\(605\) | 4.29972 | − | 6.17677i | 0.174808 | − | 0.251121i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 21.1667 | + | 36.6618i | 0.859129 | + | 1.48805i | 0.872761 | + | 0.488148i | \(0.162327\pi\) |
−0.0136324 | + | 0.999907i | \(0.504339\pi\) | |||||||
\(608\) | 3.70250 | − | 35.2269i | 0.150156 | − | 1.42864i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −25.5562 | + | 36.7128i | −1.03474 | + | 1.48646i | ||||
\(611\) | 3.35787 | + | 10.3345i | 0.135845 | + | 0.418087i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 13.3402 | − | 41.0570i | 0.538806 | − | 1.65828i | −0.196471 | − | 0.980510i | \(-0.562948\pi\) |
0.735278 | − | 0.677766i | \(-0.237052\pi\) | |||||||
\(614\) | −10.2249 | − | 2.17337i | −0.412643 | − | 0.0877100i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 48.7527 | − | 10.3627i | 1.96430 | − | 0.417525i | ||||
\(617\) | −3.95649 | + | 37.6435i | −0.159282 | + | 1.51547i | 0.564496 | + | 0.825436i | \(0.309071\pi\) |
−0.723778 | + | 0.690033i | \(0.757596\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −14.5465 | + | 6.47652i | −0.584674 | + | 0.260313i | −0.677686 | − | 0.735351i | \(-0.737017\pi\) |
0.0930123 | + | 0.995665i | \(0.470350\pi\) | |||||||
\(620\) | 25.5727 | + | 22.1066i | 1.02702 | + | 0.887824i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −55.9743 | + | 40.6677i | −2.24437 | + | 1.63063i | ||||
\(623\) | 8.91523 | + | 1.89499i | 0.357181 | + | 0.0759212i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 18.1737 | + | 17.1673i | 0.726948 | + | 0.686692i | ||||
\(626\) | −35.5929 | − | 61.6488i | −1.42258 | − | 2.46398i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −8.36622 | − | 79.5993i | −0.333849 | − | 3.17636i | ||||
\(629\) | 21.5693 | − | 15.6710i | 0.860024 | − | 0.624844i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −11.5984 | − | 8.42673i | −0.461725 | − | 0.335463i | 0.332483 | − | 0.943109i | \(-0.392114\pi\) |
−0.794208 | + | 0.607647i | \(0.792114\pi\) | |||||||
\(632\) | 62.1407 | − | 107.631i | 2.47183 | − | 4.28133i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −61.6249 | + | 13.0988i | −2.44744 | + | 0.520219i | ||||
\(635\) | −11.4506 | + | 1.43797i | −0.454402 | + | 0.0570643i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.00183 | − | 4.44448i | −0.158558 | − | 0.176097i | ||||
\(638\) | 4.23903 | − | 13.0464i | 0.167825 | − | 0.516512i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 96.2445 | + | 8.15328i | 3.80440 | + | 0.322287i | ||||
\(641\) | 15.0892 | + | 16.7583i | 0.595989 | + | 0.661913i | 0.963376 | − | 0.268156i | \(-0.0864141\pi\) |
−0.367387 | + | 0.930068i | \(0.619747\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −21.0243 | − | 36.4152i | −0.829119 | − | 1.43608i | −0.898730 | − | 0.438502i | \(-0.855509\pi\) |
0.0696109 | − | 0.997574i | \(-0.477824\pi\) | |||||||
\(644\) | 0.526817 | − | 5.01232i | 0.0207595 | − | 0.197513i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.76695 | − | 26.3257i | −0.108864 | − | 1.03577i | ||||
\(647\) | −9.23613 | + | 6.71044i | −0.363110 | + | 0.263815i | −0.754348 | − | 0.656475i | \(-0.772047\pi\) |
0.391238 | + | 0.920289i | \(0.372047\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −28.0664 | −1.10170 | ||||||||
\(650\) | −21.5905 | − | 8.58511i | −0.846850 | − | 0.336736i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 30.9124 | − | 34.3317i | 1.21062 | − | 1.34453i | ||||
\(653\) | −7.83342 | − | 3.48766i | −0.306545 | − | 0.136483i | 0.247698 | − | 0.968837i | \(-0.420326\pi\) |
−0.554244 | + | 0.832354i | \(0.686992\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −25.5735 | − | 7.74166i | −0.999239 | − | 0.302492i | ||||
\(656\) | −47.7070 | − | 34.6612i | −1.86265 | − | 1.35329i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −26.5289 | − | 19.2744i | −1.03421 | − | 0.751395i | ||||
\(659\) | 20.3348 | + | 22.5840i | 0.792130 | + | 0.879749i | 0.995043 | − | 0.0994474i | \(-0.0317075\pi\) |
−0.202913 | + | 0.979197i | \(0.565041\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −14.3063 | + | 15.8887i | −0.556449 | + | 0.618000i | −0.954082 | − | 0.299545i | \(-0.903165\pi\) |
0.397633 | + | 0.917545i | \(0.369832\pi\) | |||||||
\(662\) | −16.5132 | + | 3.51000i | −0.641805 | + | 0.136420i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −8.33227 | − | 1.77108i | −0.323355 | − | 0.0687312i | ||||
\(665\) | −1.44645 | − | 6.18746i | −0.0560908 | − | 0.239939i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.716332 | − | 0.520446i | −0.0277365 | − | 0.0201517i | ||||
\(668\) | 31.2808 | − | 54.1799i | 1.21029 | − | 2.09628i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −46.9972 | − | 25.8820i | −1.81566 | − | 0.999909i | ||||
\(671\) | −18.4016 | − | 8.19290i | −0.710384 | − | 0.316284i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −21.8048 | − | 4.63475i | −0.840513 | − | 0.178657i | −0.232513 | − | 0.972593i | \(-0.574695\pi\) |
−0.608000 | + | 0.793937i | \(0.708028\pi\) | |||||||
\(674\) | −41.3282 | −1.59190 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −56.0291 | −2.15497 | ||||||||
\(677\) | −30.7046 | − | 6.52646i | −1.18007 | − | 0.250832i | −0.424211 | − | 0.905563i | \(-0.639449\pi\) |
−0.755862 | + | 0.654731i | \(0.772782\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −6.46107 | − | 2.87665i | −0.247953 | − | 0.110396i | ||||
\(680\) | 135.859 | − | 17.0613i | 5.20996 | − | 0.654273i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −10.3636 | + | 17.9503i | −0.396842 | + | 0.687351i | ||||
\(683\) | 41.1891 | + | 29.9257i | 1.57606 | + | 1.14507i | 0.921045 | + | 0.389457i | \(0.127337\pi\) |
0.655014 | + | 0.755617i | \(0.272663\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −8.29312 | + | 5.01414i | −0.316864 | + | 0.191581i | ||||
\(686\) | 52.6448 | + | 11.1900i | 2.00999 | + | 0.427236i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −161.174 | + | 34.2586i | −6.14470 | + | 1.30610i | ||||
\(689\) | 6.73545 | − | 7.48047i | 0.256600 | − | 0.284983i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.76023 | − | 5.28677i | −0.181088 | − | 0.201118i | 0.645766 | − | 0.763535i | \(-0.276538\pi\) |
−0.826854 | + | 0.562417i | \(0.809872\pi\) | |||||||
\(692\) | 28.4467 | + | 20.6678i | 1.08138 | + | 0.785670i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −37.3577 | − | 27.1420i | −1.41808 | − | 1.03029i | ||||
\(695\) | 17.9899 | + | 23.7371i | 0.682397 | + | 0.900401i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −21.9453 | − | 9.77066i | −0.831236 | − | 0.370090i | ||||
\(698\) | 28.4770 | − | 31.6269i | 1.07787 | − | 1.19710i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 49.8938 | − | 12.7322i | 1.88581 | − | 0.481232i | ||||
\(701\) | 42.2657 | 1.59635 | 0.798177 | − | 0.602423i | \(-0.205798\pi\) | ||||
0.798177 | + | 0.602423i | \(0.205798\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 5.20589 | − | 3.78230i | 0.196344 | − | 0.142652i | ||||
\(704\) | 9.43295 | + | 89.7486i | 0.355518 | + | 3.38253i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.69516 | − | 25.6428i | 0.101434 | − | 0.965079i | ||||
\(707\) | −6.20438 | − | 10.7463i | −0.233340 | − | 0.404156i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 6.41778 | + | 7.12767i | 0.241025 | + | 0.267685i | 0.851505 | − | 0.524346i | \(-0.175690\pi\) |
−0.610480 | + | 0.792031i | \(0.709024\pi\) | |||||||
\(710\) | 4.73553 | + | 20.2572i | 0.177721 | + | 0.760238i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −14.6484 | + | 45.0832i | −0.548973 | + | 1.68956i | ||||
\(713\) | 0.895207 | + | 0.994228i | 0.0335258 | + | 0.0372341i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.96809 | − | 10.2760i | 0.0736025 | − | 0.384299i | ||||
\(716\) | −36.1096 | + | 7.67533i | −1.34948 | + | 0.286840i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −10.9842 | + | 19.0252i | −0.409927 | + | 0.710014i | ||||
\(719\) | 35.1893 | + | 25.5666i | 1.31234 | + | 0.953472i | 0.999994 | + | 0.00350360i | \(0.00111523\pi\) |
0.312347 | + | 0.949968i | \(0.398885\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.31620 | − | 1.68282i | 0.0862598 | − | 0.0626714i | ||||
\(722\) | 4.78198 | + | 45.4975i | 0.177967 | + | 1.69324i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 20.0144 | + | 34.6659i | 0.743828 | + | 1.28835i | ||||
\(725\) | 2.44560 | − | 8.70960i | 0.0908274 | − | 0.323466i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 25.6825 | + | 5.45899i | 0.952511 | + | 0.202463i | 0.657858 | − | 0.753142i | \(-0.271463\pi\) |
0.294653 | + | 0.955604i | \(0.404796\pi\) | |||||||
\(728\) | −24.7140 | + | 17.9558i | −0.915962 | + | 0.665486i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 94.9728 | + | 8.04556i | 3.51510 | + | 0.297779i | ||||
\(731\) | −61.3206 | + | 27.3017i | −2.26802 | + | 1.00979i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.43558 | + | 51.7161i | −0.200768 | + | 1.91018i | 0.176885 | + | 0.984231i | \(0.443398\pi\) |
−0.377653 | + | 0.925947i | \(0.623269\pi\) | |||||||
\(734\) | −70.8836 | + | 15.0668i | −2.61636 | + | 0.556124i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 11.1121 | + | 2.36196i | 0.409598 | + | 0.0870628i | ||||
\(737\) | 7.46588 | − | 22.9776i | 0.275009 | − | 0.846391i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −7.71260 | − | 23.7369i | −0.283712 | − | 0.873177i | −0.986782 | − | 0.162056i | \(-0.948188\pi\) |
0.703069 | − | 0.711121i | \(-0.251812\pi\) | |||||||
\(740\) | 31.4965 | + | 41.5587i | 1.15783 | + | 1.52773i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3.17520 | + | 30.2100i | −0.116565 | + | 1.10904i | ||||
\(743\) | 0.897873 | + | 1.55516i | 0.0329398 | + | 0.0570534i | 0.882025 | − | 0.471202i | \(-0.156180\pi\) |
−0.849086 | + | 0.528255i | \(0.822846\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6.02980 | + | 2.09482i | −0.220915 | + | 0.0767483i | ||||
\(746\) | 46.1153 | − | 33.5047i | 1.68840 | − | 1.22669i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 29.8493 | + | 91.8668i | 1.09140 | + | 3.35898i | ||||
\(749\) | −13.6257 | + | 23.6005i | −0.497873 | + | 0.862342i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 9.00025 | + | 15.5889i | 0.328424 | + | 0.568846i | 0.982199 | − | 0.187842i | \(-0.0601493\pi\) |
−0.653776 | + | 0.756688i | \(0.726816\pi\) | |||||||
\(752\) | 66.6327 | − | 74.0031i | 2.42984 | − | 2.69862i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.878842 | + | 8.36162i | 0.0320055 | + | 0.304512i | ||||
\(755\) | 18.9878 | + | 16.4142i | 0.691036 | + | 0.597375i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −9.03751 | −0.328474 | −0.164237 | − | 0.986421i | \(-0.552516\pi\) | ||||
−0.164237 | + | 0.986421i | \(0.552516\pi\) | |||||||
\(758\) | −48.0465 | + | 21.3917i | −1.74513 | + | 0.776981i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 32.7905 | − | 4.11787i | 1.18944 | − | 0.149371i | ||||
\(761\) | −26.4976 | + | 29.4286i | −0.960539 | + | 1.06679i | 0.0371821 | + | 0.999309i | \(0.488162\pi\) |
−0.997721 | + | 0.0674778i | \(0.978505\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.50264 | + | 2.77947i | 0.0906017 | + | 0.100623i | ||||
\(764\) | −1.94018 | − | 5.97126i | −0.0701932 | − | 0.216032i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 20.4928 | − | 63.0704i | 0.740435 | − | 2.27883i | ||||
\(767\) | 15.7148 | − | 6.99667i | 0.567428 | − | 0.252635i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.52699 | + | 33.5571i | −0.127187 | + | 1.21010i | 0.725703 | + | 0.688008i | \(0.241515\pi\) |
−0.852890 | + | 0.522091i | \(0.825152\pi\) | |||||||
\(770\) | 13.4224 | + | 28.5787i | 0.483710 | + | 1.02990i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1.77737 | + | 16.9106i | 0.0639691 | + | 0.608625i | ||||
\(773\) | −8.69380 | − | 26.7568i | −0.312694 | − | 0.962374i | −0.976693 | − | 0.214640i | \(-0.931142\pi\) |
0.663999 | − | 0.747734i | \(-0.268858\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −6.35059 | + | 12.1041i | −0.228120 | + | 0.434791i | ||||
\(776\) | 18.3918 | − | 31.8556i | 0.660228 | − | 1.14355i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 94.5309 | + | 42.0879i | 3.38910 | + | 1.50892i | ||||
\(779\) | −5.29664 | − | 2.35821i | −0.189772 | − | 0.0844918i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.55795 | + | 3.81024i | −0.306227 | + | 0.136341i | ||||
\(782\) | 8.48982 | 0.303595 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −16.9365 | + | 52.1253i | −0.604877 | + | 1.86162i | ||||
\(785\) | 30.5721 | − | 10.6211i | 1.09117 | − | 0.379083i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −30.1553 | + | 6.40972i | −1.07492 | + | 0.228482i | −0.711174 | − | 0.703016i | \(-0.751836\pi\) |
−0.363748 | + | 0.931498i | \(0.618503\pi\) | |||||||
\(788\) | −126.090 | + | 26.8013i | −4.49177 | + | 0.954755i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 75.3527 | + | 22.8109i | 2.68093 | + | 0.811576i | ||||
\(791\) | 7.68473 | − | 23.6512i | 0.273238 | − | 0.840939i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 12.3457 | 0.438409 | ||||||||
\(794\) | −70.5070 | + | 31.3918i | −2.50220 | + | 1.11405i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −94.0467 | − | 41.8723i | −3.33340 | − | 1.48412i | ||||
\(797\) | −10.6082 | − | 4.72307i | −0.375761 | − | 0.167300i | 0.210161 | − | 0.977667i | \(-0.432601\pi\) |
−0.585923 | + | 0.810367i | \(0.699268\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 20.2830 | − | 35.1312i | 0.717561 | − | 1.24285i | ||||
\(800\) | 16.7864 | + | 114.848i | 0.593489 | + | 4.06049i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −19.9816 | − | 61.4969i | −0.705574 | − | 2.17153i | ||||
\(803\) | 4.48636 | + | 42.6848i | 0.158320 | + | 1.50631i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2.02209 | − | 0.253936i | 0.0712694 | − | 0.00895008i | ||||
\(806\) | 1.32790 | − | 12.6342i | 0.0467734 | − | 0.445019i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 58.9575 | − | 26.2496i | 2.07412 | − | 0.923456i | ||||
\(809\) | −11.6688 | + | 35.9129i | −0.410254 | + | 1.26263i | 0.506174 | + | 0.862432i | \(0.331059\pi\) |
−0.916428 | + | 0.400200i | \(0.868941\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1.37548 | − | 4.23331i | −0.0482998 | − | 0.148652i | 0.923998 | − | 0.382398i | \(-0.124902\pi\) |
−0.972298 | + | 0.233746i | \(0.924902\pi\) | |||||||
\(812\) | −12.4679 | − | 13.8470i | −0.437539 | − | 0.485936i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −21.3948 | + | 23.7613i | −0.749887 | + | 0.832834i | ||||
\(815\) | 16.3635 | + | 9.01160i | 0.573187 | + | 0.315663i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −14.8001 | + | 6.58944i | −0.517791 | + | 0.230535i | ||||
\(818\) | 28.8344 | 1.00817 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 18.2389 | − | 43.2993i | 0.636931 | − | 1.51208i | ||||
\(821\) | 0.872620 | + | 8.30242i | 0.0304546 | + | 0.289757i | 0.999140 | + | 0.0414649i | \(0.0132025\pi\) |
−0.968685 | + | 0.248292i | \(0.920131\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −3.06147 | + | 3.40010i | −0.106716 | + | 0.118520i | −0.794136 | − | 0.607740i | \(-0.792076\pi\) |
0.687420 | + | 0.726260i | \(0.258743\pi\) | |||||||
\(824\) | 7.44507 | + | 12.8952i | 0.259361 | + | 0.449227i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −25.9555 | + | 44.9562i | −0.903106 | + | 1.56423i | ||||
\(827\) | 2.49659 | + | 7.68370i | 0.0868148 | + | 0.267189i | 0.985034 | − | 0.172359i | \(-0.0551389\pi\) |
−0.898219 | + | 0.439547i | \(0.855139\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −14.9236 | + | 10.8426i | −0.518316 | + | 0.376579i | −0.815969 | − | 0.578095i | \(-0.803796\pi\) |
0.297653 | + | 0.954674i | \(0.403796\pi\) | |||||||
\(830\) | −0.109036 | − | 5.39514i | −0.00378468 | − | 0.187268i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −27.6551 | − | 47.9000i | −0.958767 | − | 1.66063i | ||||
\(833\) | −2.33380 | + | 22.2046i | −0.0808613 | + | 0.769344i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 24.2126 | + | 7.32969i | 0.837912 | + | 0.253654i | ||||
\(836\) | 7.20434 | + | 22.1727i | 0.249167 | + | 0.766858i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −8.02726 | + | 24.7054i | −0.277297 | + | 0.853433i | ||||
\(839\) | −13.0629 | − | 2.77660i | −0.450981 | − | 0.0958589i | −0.0231787 | − | 0.999731i | \(-0.507379\pi\) |
−0.427802 | + | 0.903872i | \(0.640712\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 25.1643 | − | 5.34884i | 0.867734 | − | 0.184443i | ||||
\(842\) | 1.94193 | − | 18.4762i | 0.0669233 | − | 0.636732i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −58.1584 | + | 25.8938i | −2.00189 | + | 0.891301i | ||||
\(845\) | −5.15732 | − | 22.0614i | −0.177417 | − | 0.758937i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5.07107 | − | 3.68435i | 0.174244 | − | 0.126596i | ||||
\(848\) | −90.2309 | − | 19.1792i | −3.09854 | − | 0.658615i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 30.1153 | + | 81.3443i | 1.03295 | + | 2.79009i | ||||
\(851\) | 1.03191 | + | 1.78731i | 0.0353733 | + | 0.0612683i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −5.56890 | − | 52.9846i | −0.190676 | − | 1.81416i | −0.503116 | − | 0.864219i | \(-0.667813\pi\) |
0.312440 | − | 0.949937i | \(-0.398854\pi\) | |||||||
\(854\) | −30.1408 | + | 21.8986i | −1.03140 | + | 0.749354i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −114.664 | − | 83.3084i | −3.91914 | − | 2.84742i | ||||
\(857\) | 3.75868 | − | 6.51022i | 0.128394 | − | 0.222385i | −0.794661 | − | 0.607054i | \(-0.792351\pi\) |
0.923054 | + | 0.384669i | \(0.125684\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 23.4780 | − | 4.99040i | 0.801058 | − | 0.170270i | 0.210847 | − | 0.977519i | \(-0.432378\pi\) |
0.590211 | + | 0.807249i | \(0.299044\pi\) | |||||||
\(860\) | −55.8109 | − | 118.831i | −1.90314 | − | 4.05211i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −45.4718 | − | 50.5016i | −1.54878 | − | 1.72009i | ||||
\(863\) | 13.5353 | − | 41.6575i | 0.460748 | − | 1.41804i | −0.403504 | − | 0.914978i | \(-0.632208\pi\) |
0.864252 | − | 0.503059i | \(-0.167792\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −5.51948 | + | 13.1033i | −0.187668 | + | 0.445525i | ||||
\(866\) | −11.7698 | − | 13.0717i | −0.399956 | − | 0.444196i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 14.0770 | + | 24.3820i | 0.477804 | + | 0.827580i | ||||
\(869\) | −3.70579 | + | 35.2582i | −0.125710 | + | 1.19605i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.54784 | + | 14.7267i | 0.0524464 | + | 0.498994i | ||||
\(872\) | −15.7371 | + | 11.4337i | −0.532927 | + | 0.387194i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 2.04908 | 0.0693110 | ||||||||
\(875\) | 9.60588 | + | 18.4737i | 0.324738 | + | 0.624525i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −17.2909 | + | 19.2035i | −0.583871 | + | 0.648454i | −0.960621 | − | 0.277860i | \(-0.910375\pi\) |
0.376750 | + | 0.926315i | \(0.377041\pi\) | |||||||
\(878\) | −0.643402 | − | 0.286461i | −0.0217138 | − | 0.00966759i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −90.5726 | + | 31.4659i | −3.05320 | + | 1.06072i | ||||
\(881\) | 8.85610 | + | 6.43433i | 0.298369 | + | 0.216778i | 0.726890 | − | 0.686754i | \(-0.240965\pi\) |
−0.428520 | + | 0.903532i | \(0.640965\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 34.4894 | + | 25.0580i | 1.16066 | + | 0.843270i | 0.989862 | − | 0.142036i | \(-0.0453648\pi\) |
0.170800 | + | 0.985306i | \(0.445365\pi\) | |||||||
\(884\) | −39.6146 | − | 43.9965i | −1.33238 | − | 1.47976i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 26.9094 | − | 29.8859i | 0.904039 | − | 1.00404i | ||||
\(887\) | 54.9183 | − | 11.6733i | 1.84398 | − | 0.391949i | 0.852554 | − | 0.522639i | \(-0.175052\pi\) |
0.991423 | + | 0.130690i | \(0.0417191\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −9.40176 | − | 1.99841i | −0.315325 | − | 0.0670244i | ||||
\(890\) | −29.9218 | − | 2.53481i | −1.00298 | − | 0.0849669i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 9.15908 | + | 6.65446i | 0.306669 | + | 0.222808i | ||||
\(893\) | 4.89544 | − | 8.47915i | 0.163820 | − | 0.283744i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −6.34594 | − | 13.5116i | −0.212121 | − | 0.451644i | ||||
\(896\) | 73.4917 | + | 32.7206i | 2.45519 | + | 1.09312i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 41.7140 | + | 8.86659i | 1.39201 | + | 0.295882i | ||||
\(899\) | 4.94620 | 0.164965 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −37.5783 | −1.25191 | ||||||||
\(902\) | 28.1796 | + | 5.98975i | 0.938277 | + | 0.199437i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 118.156 | + | 52.6066i | 3.92982 | + | 1.74967i | ||||
\(905\) | −11.8074 | + | 11.0715i | −0.392492 | + | 0.368030i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 19.3181 | − | 33.4600i | 0.641448 | − | 1.11102i | −0.343662 | − | 0.939093i | \(-0.611667\pi\) |
0.985110 | − | 0.171927i | \(-0.0549992\pi\) | |||||||
\(908\) | 67.9895 | + | 49.3972i | 2.25631 | + | 1.63931i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −14.6398 | − | 12.6556i | −0.485304 | − | 0.419528i | ||||
\(911\) | −21.0207 | − | 4.46810i | −0.696448 | − | 0.148035i | −0.153934 | − | 0.988081i | \(-0.549194\pi\) |
−0.542514 | + | 0.840047i | \(0.682528\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.37685 | − | 0.505216i | 0.0786624 | − | 0.0167202i | ||||
\(914\) | −26.6922 | + | 29.6447i | −0.882900 | + | 0.980559i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.778542 | − | 0.864658i | −0.0257237 | − | 0.0285691i | ||||
\(917\) | −18.0039 | − | 13.0806i | −0.594542 | − | 0.431960i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 10.5406 | + | 7.65821i | 0.347703 | + | 0.252621i | 0.747905 | − | 0.663806i | \(-0.231060\pi\) |
−0.400202 | + | 0.916427i | \(0.631060\pi\) | |||||||
\(920\) | 0.214169 | + | 10.5972i | 0.00706094 | + | 0.349379i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −8.24821 | − | 3.67234i | −0.271640 | − | 0.120942i | ||||
\(923\) | 3.84187 | − | 4.26682i | 0.126457 | − | 0.140444i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −13.4645 | + | 16.2271i | −0.442711 | + | 0.533544i | ||||
\(926\) | −104.951 | −3.44890 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 33.9789 | − | 24.6871i | 1.11541 | − | 0.810394i | ||||
\(929\) | −2.50268 | − | 23.8114i | −0.0821101 | − | 0.781226i | −0.955656 | − | 0.294484i | \(-0.904852\pi\) |
0.873546 | − | 0.486741i | \(-0.161815\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.563277 | + | 5.35923i | −0.0184607 | + | 0.175642i | ||||
\(932\) | 46.3711 | + | 80.3172i | 1.51894 | + | 2.63088i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 10.5235 | + | 11.6876i | 0.344340 | + | 0.382429i | ||||
\(935\) | −33.4250 | + | 20.2092i | −1.09311 | + | 0.660913i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 5.43437 | − | 16.7253i | 0.177533 | − | 0.546390i | −0.822207 | − | 0.569188i | \(-0.807257\pi\) |
0.999740 | + | 0.0227980i | \(0.00725746\pi\) | |||||||
\(938\) | −29.9008 | − | 33.2082i | −0.976294 | − | 1.08428i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 69.4994 | + | 38.2743i | 2.26682 | + | 1.24837i | ||||
\(941\) | 13.7789 | − | 2.92879i | 0.449179 | − | 0.0954759i | 0.0222325 | − | 0.999753i | \(-0.492923\pi\) |
0.426947 | + | 0.904277i | \(0.359589\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.929764 | − | 1.61040i | 0.0302773 | − | 0.0524418i | ||||
\(944\) | −127.535 | − | 92.6599i | −4.15093 | − | 3.01582i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 65.1258 | − | 47.3167i | 2.11742 | − | 1.53840i | ||||
\(947\) | −2.31050 | − | 21.9829i | −0.0750810 | − | 0.714348i | −0.965711 | − | 0.259619i | \(-0.916403\pi\) |
0.890630 | − | 0.454729i | \(-0.150264\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −13.1529 | − | 22.7815i | −0.426961 | − | 0.739517i | ||||
\(950\) | 7.26853 | + | 19.6330i | 0.235822 | + | 0.636978i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 111.550 | + | 23.7108i | 3.61537 | + | 0.768471i | ||||
\(953\) | 25.0086 | − | 18.1698i | 0.810108 | − | 0.588578i | −0.103754 | − | 0.994603i | \(-0.533085\pi\) |
0.913862 | + | 0.406025i | \(0.133085\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.17259 | − | 1.31358i | 0.0703034 | − | 0.0425065i | ||||
\(956\) | 124.744 | − | 55.5394i | 4.03450 | − | 1.79627i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −3.86445 | + | 36.7678i | −0.124855 | + | 1.18791i | ||||
\(959\) | −7.89509 | + | 1.67815i | −0.254946 | + | 0.0541904i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 23.0123 | + | 4.89142i | 0.742334 | + | 0.157788i | ||||
\(962\) | 6.05580 | − | 18.6378i | 0.195247 | − | 0.600908i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −5.19968 | − | 16.0030i | −0.167470 | − | 0.515421i | ||||
\(965\) | −6.49493 | + | 2.25641i | −0.209079 | + | 0.0726364i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.69303 | − | 25.6224i | 0.0866019 | − | 0.823962i | −0.861876 | − | 0.507119i | \(-0.830711\pi\) |
0.948478 | − | 0.316843i | \(-0.102623\pi\) | |||||||
\(968\) | 16.3002 | + | 28.2327i | 0.523907 | + | 0.907433i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 22.3022 | + | 6.75135i | 0.716079 | + | 0.216773i | ||||
\(971\) | −27.8824 | + | 20.2577i | −0.894787 | + | 0.650101i | −0.937122 | − | 0.349002i | \(-0.886521\pi\) |
0.0423344 | + | 0.999103i | \(0.486521\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 7.66559 | + | 23.5923i | 0.245748 | + | 0.756333i | ||||
\(974\) | 39.4326 | − | 68.2993i | 1.26350 | − | 2.18845i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −56.5694 | − | 97.9811i | −1.81074 | − | 3.13630i | ||||
\(977\) | −4.17072 | + | 4.63205i | −0.133433 | + | 0.148192i | −0.806158 | − | 0.591700i | \(-0.798457\pi\) |
0.672725 | + | 0.739892i | \(0.265124\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.41346 | − | 13.4481i | −0.0451743 | − | 0.429804i | ||||
\(980\) | −43.5125 | − | 3.68613i | −1.38996 | − | 0.117749i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −43.8206 | −1.39837 | ||||||||
\(983\) | 1.85033 | − | 0.823819i | 0.0590163 | − | 0.0262757i | −0.377016 | − | 0.926207i | \(-0.623050\pi\) |
0.436033 | + | 0.899931i | \(0.356383\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −22.1592 | − | 47.1809i | −0.706051 | − | 1.50331i | ||||
\(986\) | 21.0024 | − | 23.3255i | 0.668852 | − | 0.742835i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −9.56125 | − | 10.6188i | −0.304184 | − | 0.337830i | ||||
\(989\) | −1.60565 | − | 4.94168i | −0.0510566 | − | 0.157136i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −0.263346 | + | 0.810497i | −0.00836547 | + | 0.0257463i | −0.955152 | − | 0.296116i | \(-0.904309\pi\) |
0.946787 | + | 0.321862i | \(0.104309\pi\) | |||||||
\(992\) | −57.9745 | + | 25.8119i | −1.84069 | + | 0.819530i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.81112 | + | 17.2316i | −0.0574452 | + | 0.546554i | ||||
\(995\) | 7.83047 | − | 40.8851i | 0.248243 | − | 1.29614i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 6.02165 | + | 57.2921i | 0.190707 | + | 1.81446i | 0.502793 | + | 0.864407i | \(0.332306\pi\) |
−0.312086 | + | 0.950054i | \(0.601028\pi\) | |||||||
\(998\) | −17.8025 | − | 54.7904i | −0.563528 | − | 1.73436i | ||||
\(999\) | 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 | 675.2.r.a.181.1 | 224 | ||
3.2 | odd | 2 | 225.2.q.a.106.28 | yes | 224 | ||
9.4 | even | 3 | inner | 675.2.r.a.631.28 | 224 | ||
9.5 | odd | 6 | 225.2.q.a.31.1 | ✓ | 224 | ||
25.21 | even | 5 | inner | 675.2.r.a.46.28 | 224 | ||
75.71 | odd | 10 | 225.2.q.a.196.1 | yes | 224 | ||
225.121 | even | 15 | inner | 675.2.r.a.496.1 | 224 | ||
225.221 | odd | 30 | 225.2.q.a.121.28 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.31.1 | ✓ | 224 | 9.5 | odd | 6 | ||
225.2.q.a.106.28 | yes | 224 | 3.2 | odd | 2 | ||
225.2.q.a.121.28 | yes | 224 | 225.221 | odd | 30 | ||
225.2.q.a.196.1 | yes | 224 | 75.71 | odd | 10 | ||
675.2.r.a.46.28 | 224 | 25.21 | even | 5 | inner | ||
675.2.r.a.181.1 | 224 | 1.1 | even | 1 | trivial | ||
675.2.r.a.496.1 | 224 | 225.121 | even | 15 | inner | ||
675.2.r.a.631.28 | 224 | 9.4 | even | 3 | inner |