Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(106,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.106");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.n (of order \(5\), degree \(4\), 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: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 316.1 | ||
Character | \(\chi\) | \(=\) | 525.316 |
Dual form | 525.2.n.d.211.1 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.01265 | − | 1.46227i | −1.42316 | − | 1.03398i | −0.991241 | − | 0.132069i | \(-0.957838\pi\) |
−0.431915 | − | 0.901914i | \(-0.642162\pi\) | |||||||
\(3\) | 0.309017 | + | 0.951057i | 0.178411 | + | 0.549093i | ||||
\(4\) | 1.29447 | + | 3.98396i | 0.647234 | + | 1.99198i | ||||
\(5\) | −1.44782 | − | 1.70406i | −0.647484 | − | 0.762079i | ||||
\(6\) | 0.768762 | − | 2.36601i | 0.313846 | − | 0.965918i | ||||
\(7\) | −1.00000 | −0.377964 | ||||||||
\(8\) | 1.68281 | − | 5.17916i | 0.594963 | − | 1.83111i | ||||
\(9\) | −0.809017 | + | 0.587785i | −0.269672 | + | 0.195928i | ||||
\(10\) | 0.422145 | + | 5.54678i | 0.133494 | + | 1.75404i | ||||
\(11\) | −0.214637 | − | 0.155943i | −0.0647156 | − | 0.0470186i | 0.554957 | − | 0.831879i | \(-0.312735\pi\) |
−0.619673 | + | 0.784860i | \(0.712735\pi\) | |||||||
\(12\) | −3.38896 | + | 2.46222i | −0.978309 | + | 0.710783i | ||||
\(13\) | 1.25901 | − | 0.914723i | 0.349186 | − | 0.253698i | −0.399342 | − | 0.916802i | \(-0.630761\pi\) |
0.748527 | + | 0.663104i | \(0.230761\pi\) | |||||||
\(14\) | 2.01265 | + | 1.46227i | 0.537902 | + | 0.390809i | ||||
\(15\) | 1.17326 | − | 1.90354i | 0.302934 | − | 0.491492i | ||||
\(16\) | −4.18232 | + | 3.03864i | −1.04558 | + | 0.759659i | ||||
\(17\) | 0.612083 | − | 1.88380i | 0.148452 | − | 0.456888i | −0.848987 | − | 0.528414i | \(-0.822787\pi\) |
0.997439 | + | 0.0715260i | \(0.0227869\pi\) | |||||||
\(18\) | 2.48777 | 0.586372 | ||||||||
\(19\) | −1.44527 | + | 4.44809i | −0.331568 | + | 1.02046i | 0.636820 | + | 0.771013i | \(0.280250\pi\) |
−0.968388 | + | 0.249449i | \(0.919750\pi\) | |||||||
\(20\) | 4.91476 | − | 7.97391i | 1.09897 | − | 1.78302i | ||||
\(21\) | −0.309017 | − | 0.951057i | −0.0674330 | − | 0.207538i | ||||
\(22\) | 0.203957 | + | 0.627717i | 0.0434839 | + | 0.133830i | ||||
\(23\) | −3.31980 | − | 2.41198i | −0.692226 | − | 0.502932i | 0.185165 | − | 0.982707i | \(-0.440718\pi\) |
−0.877391 | + | 0.479776i | \(0.840718\pi\) | |||||||
\(24\) | 5.44569 | 1.11160 | ||||||||
\(25\) | −0.807642 | + | 4.93434i | −0.161528 | + | 0.986868i | ||||
\(26\) | −3.87151 | −0.759266 | ||||||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | −1.29447 | − | 3.98396i | −0.244631 | − | 0.752898i | ||||
\(29\) | 2.89950 | + | 8.92374i | 0.538424 | + | 1.65710i | 0.736133 | + | 0.676837i | \(0.236650\pi\) |
−0.197710 | + | 0.980261i | \(0.563350\pi\) | |||||||
\(30\) | −5.14485 | + | 2.11553i | −0.939316 | + | 0.386242i | ||||
\(31\) | −0.569538 | + | 1.75286i | −0.102292 | + | 0.314823i | −0.989085 | − | 0.147344i | \(-0.952928\pi\) |
0.886793 | + | 0.462166i | \(0.152928\pi\) | |||||||
\(32\) | 1.96947 | 0.348157 | ||||||||
\(33\) | 0.0819841 | − | 0.252321i | 0.0142716 | − | 0.0439235i | ||||
\(34\) | −3.98653 | + | 2.89639i | −0.683685 | + | 0.496726i | ||||
\(35\) | 1.44782 | + | 1.70406i | 0.244726 | + | 0.288039i | ||||
\(36\) | −3.38896 | − | 2.46222i | −0.564827 | − | 0.410371i | ||||
\(37\) | −8.66441 | + | 6.29506i | −1.42442 | + | 1.03490i | −0.433399 | + | 0.901202i | \(0.642686\pi\) |
−0.991022 | + | 0.133700i | \(0.957314\pi\) | |||||||
\(38\) | 9.41315 | − | 6.83905i | 1.52701 | − | 1.10944i | ||||
\(39\) | 1.25901 | + | 0.914723i | 0.201603 | + | 0.146473i | ||||
\(40\) | −11.2620 | + | 4.63087i | −1.78068 | + | 0.732205i | ||||
\(41\) | −8.64316 | + | 6.27962i | −1.34983 | + | 0.980712i | −0.350815 | + | 0.936445i | \(0.614095\pi\) |
−0.999020 | + | 0.0442671i | \(0.985905\pi\) | |||||||
\(42\) | −0.768762 | + | 2.36601i | −0.118623 | + | 0.365083i | ||||
\(43\) | 0.340414 | 0.0519126 | 0.0259563 | − | 0.999663i | \(-0.491737\pi\) | ||||
0.0259563 | + | 0.999663i | \(0.491737\pi\) | |||||||
\(44\) | 0.343430 | − | 1.05697i | 0.0517741 | − | 0.159344i | ||||
\(45\) | 2.17293 | + | 0.527607i | 0.323921 | + | 0.0786510i | ||||
\(46\) | 3.15462 | + | 9.70891i | 0.465123 | + | 1.43150i | ||||
\(47\) | 0.0625691 | + | 0.192568i | 0.00912665 | + | 0.0280889i | 0.955516 | − | 0.294939i | \(-0.0952993\pi\) |
−0.946389 | + | 0.323028i | \(0.895299\pi\) | |||||||
\(48\) | −4.18232 | − | 3.03864i | −0.603667 | − | 0.438589i | ||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | 8.84085 | − | 8.75009i | 1.25029 | − | 1.23745i | ||||
\(51\) | 1.98074 | 0.277359 | ||||||||
\(52\) | 5.27397 | + | 3.83176i | 0.731368 | + | 0.531370i | ||||
\(53\) | 2.55637 | + | 7.86769i | 0.351144 | + | 1.08071i | 0.958212 | + | 0.286060i | \(0.0923457\pi\) |
−0.607068 | + | 0.794650i | \(0.707654\pi\) | |||||||
\(54\) | 0.768762 | + | 2.36601i | 0.104615 | + | 0.321973i | ||||
\(55\) | 0.0450194 | + | 0.591532i | 0.00607041 | + | 0.0797622i | ||||
\(56\) | −1.68281 | + | 5.17916i | −0.224875 | + | 0.692094i | ||||
\(57\) | −4.67700 | −0.619484 | ||||||||
\(58\) | 7.21328 | − | 22.2002i | 0.947150 | − | 2.91503i | ||||
\(59\) | 1.85859 | − | 1.35035i | 0.241968 | − | 0.175800i | −0.460191 | − | 0.887820i | \(-0.652219\pi\) |
0.702160 | + | 0.712019i | \(0.252219\pi\) | |||||||
\(60\) | 9.10238 | + | 2.21014i | 1.17511 | + | 0.285328i | ||||
\(61\) | 7.35885 | + | 5.34652i | 0.942205 | + | 0.684552i | 0.948950 | − | 0.315425i | \(-0.102147\pi\) |
−0.00674566 | + | 0.999977i | \(0.502147\pi\) | |||||||
\(62\) | 3.70944 | − | 2.69506i | 0.471099 | − | 0.342273i | ||||
\(63\) | 0.809017 | − | 0.587785i | 0.101927 | − | 0.0740540i | ||||
\(64\) | 4.40079 | + | 3.19736i | 0.550099 | + | 0.399670i | ||||
\(65\) | −3.38156 | − | 0.821073i | −0.419431 | − | 0.101842i | ||||
\(66\) | −0.533968 | + | 0.387950i | −0.0657269 | + | 0.0477534i | ||||
\(67\) | 2.88757 | − | 8.88701i | 0.352772 | − | 1.08572i | −0.604518 | − | 0.796592i | \(-0.706634\pi\) |
0.957290 | − | 0.289130i | \(-0.0933659\pi\) | |||||||
\(68\) | 8.29730 | 1.00620 | ||||||||
\(69\) | 1.26805 | − | 3.90266i | 0.152655 | − | 0.469825i | ||||
\(70\) | −0.422145 | − | 5.54678i | −0.0504560 | − | 0.662967i | ||||
\(71\) | 3.11812 | + | 9.59658i | 0.370053 | + | 1.13890i | 0.946756 | + | 0.321951i | \(0.104339\pi\) |
−0.576704 | + | 0.816953i | \(0.695661\pi\) | |||||||
\(72\) | 1.68281 | + | 5.17916i | 0.198321 | + | 0.610370i | ||||
\(73\) | 1.04996 | + | 0.762843i | 0.122889 | + | 0.0892841i | 0.647532 | − | 0.762038i | \(-0.275801\pi\) |
−0.524643 | + | 0.851322i | \(0.675801\pi\) | |||||||
\(74\) | 26.6435 | 3.09724 | ||||||||
\(75\) | −4.94241 | + | 0.756681i | −0.570701 | + | 0.0873740i | ||||
\(76\) | −19.5919 | −2.24734 | ||||||||
\(77\) | 0.214637 | + | 0.155943i | 0.0244602 | + | 0.0177714i | ||||
\(78\) | −1.19636 | − | 3.68203i | −0.135461 | − | 0.416907i | ||||
\(79\) | −2.18567 | − | 6.72681i | −0.245907 | − | 0.756825i | −0.995486 | − | 0.0949095i | \(-0.969744\pi\) |
0.749579 | − | 0.661915i | \(-0.230256\pi\) | |||||||
\(80\) | 11.2333 | + | 2.72754i | 1.25592 | + | 0.304948i | ||||
\(81\) | 0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | ||||
\(82\) | 26.5781 | 2.93506 | ||||||||
\(83\) | −1.57735 | + | 4.85459i | −0.173137 | + | 0.532861i | −0.999543 | − | 0.0302131i | \(-0.990381\pi\) |
0.826406 | + | 0.563074i | \(0.190381\pi\) | |||||||
\(84\) | 3.38896 | − | 2.46222i | 0.369766 | − | 0.268651i | ||||
\(85\) | −4.09629 | + | 1.68437i | −0.444305 | + | 0.182696i | ||||
\(86\) | −0.685132 | − | 0.497778i | −0.0738797 | − | 0.0536768i | ||||
\(87\) | −7.59099 | + | 5.51518i | −0.813839 | + | 0.591289i | ||||
\(88\) | −1.16885 | + | 0.849218i | −0.124600 | + | 0.0905269i | ||||
\(89\) | −2.89584 | − | 2.10395i | −0.306959 | − | 0.223019i | 0.423632 | − | 0.905834i | \(-0.360755\pi\) |
−0.730590 | + | 0.682816i | \(0.760755\pi\) | |||||||
\(90\) | −3.60184 | − | 4.23931i | −0.379667 | − | 0.446862i | ||||
\(91\) | −1.25901 | + | 0.914723i | −0.131980 | + | 0.0958890i | ||||
\(92\) | 5.31185 | − | 16.3482i | 0.553798 | − | 1.70442i | ||||
\(93\) | −1.84306 | −0.191117 | ||||||||
\(94\) | 0.155657 | − | 0.479065i | 0.0160548 | − | 0.0494117i | ||||
\(95\) | 9.67231 | − | 3.97720i | 0.992358 | − | 0.408052i | ||||
\(96\) | 0.608601 | + | 1.87308i | 0.0621151 | + | 0.191171i | ||||
\(97\) | −1.37639 | − | 4.23608i | −0.139751 | − | 0.430109i | 0.856548 | − | 0.516068i | \(-0.172605\pi\) |
−0.996299 | + | 0.0859587i | \(0.972605\pi\) | |||||||
\(98\) | −2.01265 | − | 1.46227i | −0.203308 | − | 0.147712i | ||||
\(99\) | 0.265306 | 0.0266643 | ||||||||
\(100\) | −20.7037 | + | 3.16973i | −2.07037 | + | 0.316973i | ||||
\(101\) | −10.7501 | −1.06968 | −0.534838 | − | 0.844955i | \(-0.679627\pi\) | ||||
−0.534838 | + | 0.844955i | \(0.679627\pi\) | |||||||
\(102\) | −3.98653 | − | 2.89639i | −0.394726 | − | 0.286785i | ||||
\(103\) | 3.67326 | + | 11.3051i | 0.361937 | + | 1.11393i | 0.951877 | + | 0.306481i | \(0.0991516\pi\) |
−0.589939 | + | 0.807447i | \(0.700848\pi\) | |||||||
\(104\) | −2.61882 | − | 8.05991i | −0.256797 | − | 0.790339i | ||||
\(105\) | −1.17326 | + | 1.90354i | −0.114498 | + | 0.185767i | ||||
\(106\) | 6.35965 | − | 19.5730i | 0.617704 | − | 1.90110i | ||||
\(107\) | −13.5746 | −1.31231 | −0.656154 | − | 0.754627i | \(-0.727818\pi\) | ||||
−0.656154 | + | 0.754627i | \(0.727818\pi\) | |||||||
\(108\) | 1.29447 | − | 3.98396i | 0.124560 | − | 0.383357i | ||||
\(109\) | −3.90051 | + | 2.83389i | −0.373601 | + | 0.271437i | −0.758703 | − | 0.651437i | \(-0.774166\pi\) |
0.385101 | + | 0.922874i | \(0.374166\pi\) | |||||||
\(110\) | 0.774373 | − | 1.25638i | 0.0738336 | − | 0.119791i | ||||
\(111\) | −8.66441 | − | 6.29506i | −0.822390 | − | 0.597501i | ||||
\(112\) | 4.18232 | − | 3.03864i | 0.395193 | − | 0.287124i | ||||
\(113\) | −15.9835 | + | 11.6127i | −1.50360 | + | 1.09243i | −0.534676 | + | 0.845057i | \(0.679566\pi\) |
−0.968921 | + | 0.247370i | \(0.920434\pi\) | |||||||
\(114\) | 9.41315 | + | 6.83905i | 0.881622 | + | 0.640536i | ||||
\(115\) | 0.696316 | + | 9.14924i | 0.0649318 | + | 0.853171i | ||||
\(116\) | −31.7986 | + | 23.1030i | −2.95242 | + | 2.14506i | ||||
\(117\) | −0.480898 | + | 1.48005i | −0.0444591 | + | 0.136831i | ||||
\(118\) | −5.71527 | −0.526133 | ||||||||
\(119\) | −0.612083 | + | 1.88380i | −0.0561095 | + | 0.172687i | ||||
\(120\) | −7.88437 | − | 9.27978i | −0.719741 | − | 0.847125i | ||||
\(121\) | −3.37744 | − | 10.3947i | −0.307040 | − | 0.944971i | ||||
\(122\) | −6.99270 | − | 21.5213i | −0.633089 | − | 1.94845i | ||||
\(123\) | −8.64316 | − | 6.27962i | −0.779327 | − | 0.566214i | ||||
\(124\) | −7.72057 | −0.693328 | ||||||||
\(125\) | 9.57773 | − | 5.76776i | 0.856658 | − | 0.515884i | ||||
\(126\) | −2.48777 | −0.221628 | ||||||||
\(127\) | 8.44490 | + | 6.13558i | 0.749363 | + | 0.544444i | 0.895629 | − | 0.444801i | \(-0.146726\pi\) |
−0.146266 | + | 0.989245i | \(0.546726\pi\) | |||||||
\(128\) | −5.39902 | − | 16.6165i | −0.477211 | − | 1.46870i | ||||
\(129\) | 0.105194 | + | 0.323753i | 0.00926178 | + | 0.0285048i | ||||
\(130\) | 5.60525 | + | 6.59729i | 0.491613 | + | 0.578620i | ||||
\(131\) | 6.32689 | − | 19.4722i | 0.552783 | − | 1.70129i | −0.148944 | − | 0.988846i | \(-0.547587\pi\) |
0.701727 | − | 0.712446i | \(-0.252413\pi\) | |||||||
\(132\) | 1.11136 | 0.0967318 | ||||||||
\(133\) | 1.44527 | − | 4.44809i | 0.125321 | − | 0.385698i | ||||
\(134\) | −18.8069 | + | 13.6640i | −1.62467 | + | 1.18039i | ||||
\(135\) | 0.169688 | + | 2.22962i | 0.0146045 | + | 0.191895i | ||||
\(136\) | −8.72647 | − | 6.34015i | −0.748288 | − | 0.543663i | ||||
\(137\) | −3.06296 | + | 2.22537i | −0.261686 | + | 0.190126i | −0.710890 | − | 0.703303i | \(-0.751708\pi\) |
0.449204 | + | 0.893429i | \(0.351708\pi\) | |||||||
\(138\) | −8.25889 | + | 6.00043i | −0.703043 | + | 0.510791i | ||||
\(139\) | −5.96443 | − | 4.33341i | −0.505897 | − | 0.367555i | 0.305368 | − | 0.952234i | \(-0.401220\pi\) |
−0.811265 | + | 0.584679i | \(0.801220\pi\) | |||||||
\(140\) | −4.91476 | + | 7.97391i | −0.415373 | + | 0.673918i | ||||
\(141\) | −0.163808 | + | 0.119014i | −0.0137951 | + | 0.0100228i | ||||
\(142\) | 7.75715 | − | 23.8741i | 0.650966 | − | 2.00347i | ||||
\(143\) | −0.412875 | −0.0345263 | ||||||||
\(144\) | 1.59751 | − | 4.91662i | 0.133125 | − | 0.409718i | ||||
\(145\) | 11.0086 | − | 17.8609i | 0.914218 | − | 1.48327i | ||||
\(146\) | −0.997720 | − | 3.07067i | −0.0825719 | − | 0.254130i | ||||
\(147\) | 0.309017 | + | 0.951057i | 0.0254873 | + | 0.0784418i | ||||
\(148\) | −36.2951 | − | 26.3699i | −2.98344 | − | 2.16760i | ||||
\(149\) | 8.18680 | 0.670689 | 0.335345 | − | 0.942096i | \(-0.391147\pi\) | ||||
0.335345 | + | 0.942096i | \(0.391147\pi\) | |||||||
\(150\) | 11.0538 | + | 5.70422i | 0.902539 | + | 0.465748i | ||||
\(151\) | −2.21986 | −0.180649 | −0.0903246 | − | 0.995912i | \(-0.528790\pi\) | ||||
−0.0903246 | + | 0.995912i | \(0.528790\pi\) | |||||||
\(152\) | 20.6053 | + | 14.9706i | 1.67131 | + | 1.21428i | ||||
\(153\) | 0.612083 | + | 1.88380i | 0.0494840 | + | 0.152296i | ||||
\(154\) | −0.203957 | − | 0.627717i | −0.0164354 | − | 0.0505828i | ||||
\(155\) | 3.81156 | − | 1.56729i | 0.306152 | − | 0.125888i | ||||
\(156\) | −2.01448 | + | 6.19992i | −0.161287 | + | 0.496391i | ||||
\(157\) | 2.86518 | 0.228666 | 0.114333 | − | 0.993442i | \(-0.463527\pi\) | ||||
0.114333 | + | 0.993442i | \(0.463527\pi\) | |||||||
\(158\) | −5.43744 | + | 16.7347i | −0.432580 | + | 1.33134i | ||||
\(159\) | −6.69266 | + | 4.86250i | −0.530762 | + | 0.385621i | ||||
\(160\) | −2.85144 | − | 3.35610i | −0.225426 | − | 0.265323i | ||||
\(161\) | 3.31980 | + | 2.41198i | 0.261637 | + | 0.190090i | ||||
\(162\) | −2.01265 | + | 1.46227i | −0.158128 | + | 0.114887i | ||||
\(163\) | 8.34779 | − | 6.06502i | 0.653849 | − | 0.475049i | −0.210731 | − | 0.977544i | \(-0.567584\pi\) |
0.864580 | + | 0.502495i | \(0.167584\pi\) | |||||||
\(164\) | −36.2061 | − | 26.3053i | −2.82722 | − | 2.05410i | ||||
\(165\) | −0.548669 | + | 0.225609i | −0.0427138 | + | 0.0175637i | ||||
\(166\) | 10.2734 | − | 7.46406i | 0.797370 | − | 0.579323i | ||||
\(167\) | 6.72959 | − | 20.7116i | 0.520752 | − | 1.60271i | −0.251815 | − | 0.967775i | \(-0.581028\pi\) |
0.772567 | − | 0.634933i | \(-0.218972\pi\) | |||||||
\(168\) | −5.44569 | −0.420144 | ||||||||
\(169\) | −3.26884 | + | 10.0604i | −0.251449 | + | 0.773881i | ||||
\(170\) | 10.7074 | + | 2.59985i | 0.821219 | + | 0.199399i | ||||
\(171\) | −1.44527 | − | 4.44809i | −0.110523 | − | 0.340154i | ||||
\(172\) | 0.440655 | + | 1.35620i | 0.0335996 | + | 0.103409i | ||||
\(173\) | 15.5004 | + | 11.2617i | 1.17847 | + | 0.856211i | 0.991999 | − | 0.126249i | \(-0.0402938\pi\) |
0.186475 | + | 0.982460i | \(0.440294\pi\) | |||||||
\(174\) | 23.3427 | 1.76960 | ||||||||
\(175\) | 0.807642 | − | 4.93434i | 0.0610520 | − | 0.373001i | ||||
\(176\) | 1.37154 | 0.103383 | ||||||||
\(177\) | 1.85859 | + | 1.35035i | 0.139701 | + | 0.101498i | ||||
\(178\) | 2.75175 | + | 8.46902i | 0.206253 | + | 0.634780i | ||||
\(179\) | −2.02361 | − | 6.22804i | −0.151252 | − | 0.465506i | 0.846510 | − | 0.532373i | \(-0.178700\pi\) |
−0.997762 | + | 0.0668672i | \(0.978700\pi\) | |||||||
\(180\) | 0.710823 | + | 9.33985i | 0.0529816 | + | 0.696151i | ||||
\(181\) | 0.567237 | − | 1.74578i | 0.0421624 | − | 0.129763i | −0.927760 | − | 0.373178i | \(-0.878268\pi\) |
0.969922 | + | 0.243416i | \(0.0782680\pi\) | |||||||
\(182\) | 3.87151 | 0.286976 | ||||||||
\(183\) | −2.81083 | + | 8.65085i | −0.207783 | + | 0.639489i | ||||
\(184\) | −18.0786 | + | 13.1349i | −1.33277 | + | 0.968316i | ||||
\(185\) | 23.2717 | + | 5.65057i | 1.71097 | + | 0.415438i | ||||
\(186\) | 3.70944 | + | 2.69506i | 0.271989 | + | 0.197612i | ||||
\(187\) | −0.425141 | + | 0.308883i | −0.0310894 | + | 0.0225878i | ||||
\(188\) | −0.686190 | + | 0.498546i | −0.0500456 | + | 0.0363602i | ||||
\(189\) | 0.809017 | + | 0.587785i | 0.0588473 | + | 0.0427551i | ||||
\(190\) | −25.2827 | − | 6.13886i | −1.83420 | − | 0.445360i | ||||
\(191\) | −14.1900 | + | 10.3097i | −1.02676 | + | 0.745981i | −0.967657 | − | 0.252271i | \(-0.918823\pi\) |
−0.0590986 | + | 0.998252i | \(0.518823\pi\) | |||||||
\(192\) | −1.68095 | + | 5.17344i | −0.121312 | + | 0.373361i | ||||
\(193\) | −25.7200 | −1.85136 | −0.925682 | − | 0.378302i | \(-0.876508\pi\) | ||||
−0.925682 | + | 0.378302i | \(0.876508\pi\) | |||||||
\(194\) | −3.42413 | + | 10.5384i | −0.245838 | + | 0.756612i | ||||
\(195\) | −0.264072 | − | 3.46978i | −0.0189106 | − | 0.248476i | ||||
\(196\) | 1.29447 | + | 3.98396i | 0.0924620 | + | 0.284569i | ||||
\(197\) | 0.498765 | + | 1.53504i | 0.0355355 | + | 0.109367i | 0.967251 | − | 0.253822i | \(-0.0816878\pi\) |
−0.931715 | + | 0.363189i | \(0.881688\pi\) | |||||||
\(198\) | −0.533968 | − | 0.387950i | −0.0379474 | − | 0.0275704i | ||||
\(199\) | 17.6785 | 1.25320 | 0.626599 | − | 0.779342i | \(-0.284447\pi\) | ||||
0.626599 | + | 0.779342i | \(0.284447\pi\) | |||||||
\(200\) | 24.1966 | + | 12.4865i | 1.71096 | + | 0.882927i | ||||
\(201\) | 9.34436 | 0.659100 | ||||||||
\(202\) | 21.6362 | + | 15.7196i | 1.52232 | + | 1.10603i | ||||
\(203\) | −2.89950 | − | 8.92374i | −0.203505 | − | 0.626324i | ||||
\(204\) | 2.56401 | + | 7.89120i | 0.179516 | + | 0.552495i | ||||
\(205\) | 23.2146 | + | 5.63671i | 1.62138 | + | 0.393685i | ||||
\(206\) | 9.13822 | − | 28.1246i | 0.636690 | − | 1.95953i | ||||
\(207\) | 4.10350 | 0.285213 | ||||||||
\(208\) | −2.48607 | + | 7.65133i | −0.172378 | + | 0.530525i | ||||
\(209\) | 1.00386 | − | 0.729346i | 0.0694383 | − | 0.0504499i | ||||
\(210\) | 5.14485 | − | 2.11553i | 0.355028 | − | 0.145986i | ||||
\(211\) | −18.7756 | − | 13.6413i | −1.29257 | − | 0.939104i | −0.292712 | − | 0.956201i | \(-0.594558\pi\) |
−0.999854 | + | 0.0170967i | \(0.994558\pi\) | |||||||
\(212\) | −28.0354 | + | 20.3689i | −1.92548 | + | 1.39894i | ||||
\(213\) | −8.16334 | + | 5.93101i | −0.559343 | + | 0.406386i | ||||
\(214\) | 27.3209 | + | 19.8498i | 1.86762 | + | 1.35691i | ||||
\(215\) | −0.492857 | − | 0.580086i | −0.0336126 | − | 0.0395615i | ||||
\(216\) | −4.40566 | + | 3.20090i | −0.299767 | + | 0.217793i | ||||
\(217\) | 0.569538 | − | 1.75286i | 0.0386628 | − | 0.118992i | ||||
\(218\) | 11.9943 | 0.812355 | ||||||||
\(219\) | −0.401050 | + | 1.23431i | −0.0271005 | + | 0.0834067i | ||||
\(220\) | −2.29837 | + | 0.945075i | −0.154956 | + | 0.0637169i | ||||
\(221\) | −0.952535 | − | 2.93160i | −0.0640744 | − | 0.197201i | ||||
\(222\) | 8.23329 | + | 25.3395i | 0.552582 | + | 1.70067i | ||||
\(223\) | 12.0571 | + | 8.76000i | 0.807404 | + | 0.586613i | 0.913077 | − | 0.407788i | \(-0.133700\pi\) |
−0.105673 | + | 0.994401i | \(0.533700\pi\) | |||||||
\(224\) | −1.96947 | −0.131591 | ||||||||
\(225\) | −2.24694 | − | 4.46669i | −0.149796 | − | 0.297779i | ||||
\(226\) | 49.1499 | 3.26940 | ||||||||
\(227\) | −20.9487 | − | 15.2201i | −1.39041 | − | 1.01019i | −0.995820 | − | 0.0913382i | \(-0.970886\pi\) |
−0.394593 | − | 0.918856i | \(-0.629114\pi\) | |||||||
\(228\) | −6.05423 | − | 18.6330i | −0.400951 | − | 1.23400i | ||||
\(229\) | −5.55333 | − | 17.0914i | −0.366975 | − | 1.12943i | −0.948735 | − | 0.316072i | \(-0.897636\pi\) |
0.581761 | − | 0.813360i | \(-0.302364\pi\) | |||||||
\(230\) | 11.9773 | − | 19.4324i | 0.789757 | − | 1.28133i | ||||
\(231\) | −0.0819841 | + | 0.252321i | −0.00539416 | + | 0.0166015i | ||||
\(232\) | 51.0968 | 3.35467 | ||||||||
\(233\) | −7.04138 | + | 21.6711i | −0.461296 | + | 1.41972i | 0.402285 | + | 0.915515i | \(0.368216\pi\) |
−0.863581 | + | 0.504210i | \(0.831784\pi\) | |||||||
\(234\) | 3.13212 | − | 2.27562i | 0.204753 | − | 0.148762i | ||||
\(235\) | 0.237559 | − | 0.385425i | 0.0154966 | − | 0.0251424i | ||||
\(236\) | 7.78563 | + | 5.65659i | 0.506801 | + | 0.368213i | ||||
\(237\) | 5.72216 | − | 4.15739i | 0.371694 | − | 0.270052i | ||||
\(238\) | 3.98653 | − | 2.89639i | 0.258409 | − | 0.187745i | ||||
\(239\) | −12.9135 | − | 9.38217i | −0.835302 | − | 0.606882i | 0.0857524 | − | 0.996316i | \(-0.472671\pi\) |
−0.921054 | + | 0.389434i | \(0.872671\pi\) | |||||||
\(240\) | 0.877228 | + | 11.5263i | 0.0566248 | + | 0.744021i | ||||
\(241\) | 18.0397 | − | 13.1066i | 1.16204 | − | 0.844270i | 0.172004 | − | 0.985096i | \(-0.444976\pi\) |
0.990034 | + | 0.140826i | \(0.0449759\pi\) | |||||||
\(242\) | −8.40228 | + | 25.8595i | −0.540119 | + | 1.66231i | ||||
\(243\) | 1.00000 | 0.0641500 | ||||||||
\(244\) | −11.7745 | + | 36.2383i | −0.753788 | + | 2.31992i | ||||
\(245\) | −1.44782 | − | 1.70406i | −0.0924977 | − | 0.108868i | ||||
\(246\) | 8.21310 | + | 25.2773i | 0.523648 | + | 1.61162i | ||||
\(247\) | 2.24916 | + | 6.92220i | 0.143111 | + | 0.440449i | ||||
\(248\) | 8.11991 | + | 5.89946i | 0.515615 | + | 0.374616i | ||||
\(249\) | −5.10442 | −0.323480 | ||||||||
\(250\) | −27.7106 | − | 2.39680i | −1.75257 | − | 0.151587i | ||||
\(251\) | 25.8119 | 1.62923 | 0.814617 | − | 0.580000i | \(-0.196947\pi\) | ||||
0.814617 | + | 0.580000i | \(0.196947\pi\) | |||||||
\(252\) | 3.38896 | + | 2.46222i | 0.213485 | + | 0.155106i | ||||
\(253\) | 0.336422 | + | 1.03540i | 0.0211507 | + | 0.0650950i | ||||
\(254\) | −8.02470 | − | 24.6975i | −0.503514 | − | 1.54966i | ||||
\(255\) | −2.86775 | − | 3.37530i | −0.179586 | − | 0.211370i | ||||
\(256\) | −10.0696 | + | 30.9911i | −0.629350 | + | 1.93694i | ||||
\(257\) | 18.9059 | 1.17932 | 0.589659 | − | 0.807652i | \(-0.299262\pi\) | ||||
0.589659 | + | 0.807652i | \(0.299262\pi\) | |||||||
\(258\) | 0.261697 | − | 0.805422i | 0.0162926 | − | 0.0501434i | ||||
\(259\) | 8.66441 | − | 6.29506i | 0.538380 | − | 0.391156i | ||||
\(260\) | −1.10620 | − | 14.5349i | −0.0686033 | − | 0.901413i | ||||
\(261\) | −7.59099 | − | 5.51518i | −0.469870 | − | 0.341381i | ||||
\(262\) | −41.2074 | + | 29.9390i | −2.54580 | + | 1.84963i | ||||
\(263\) | 7.29198 | − | 5.29794i | 0.449643 | − | 0.326685i | −0.339812 | − | 0.940493i | \(-0.610363\pi\) |
0.789455 | + | 0.613809i | \(0.210363\pi\) | |||||||
\(264\) | −1.16885 | − | 0.849218i | −0.0719376 | − | 0.0522657i | ||||
\(265\) | 9.70586 | − | 15.7472i | 0.596226 | − | 0.967342i | ||||
\(266\) | −9.41315 | + | 6.83905i | −0.577157 | + | 0.419329i | ||||
\(267\) | 1.10611 | − | 3.40427i | 0.0676930 | − | 0.208338i | ||||
\(268\) | 39.1434 | 2.39106 | ||||||||
\(269\) | −4.53751 | + | 13.9650i | −0.276657 | + | 0.851462i | 0.712120 | + | 0.702058i | \(0.247735\pi\) |
−0.988776 | + | 0.149404i | \(0.952265\pi\) | |||||||
\(270\) | 2.91879 | − | 4.73557i | 0.177632 | − | 0.288197i | ||||
\(271\) | −4.70960 | − | 14.4947i | −0.286088 | − | 0.880488i | −0.986071 | − | 0.166328i | \(-0.946809\pi\) |
0.699983 | − | 0.714160i | \(-0.253191\pi\) | |||||||
\(272\) | 3.16425 | + | 9.73855i | 0.191861 | + | 0.590486i | ||||
\(273\) | −1.25901 | − | 0.914723i | −0.0761986 | − | 0.0553615i | ||||
\(274\) | 9.41875 | 0.569007 | ||||||||
\(275\) | 0.942826 | − | 0.933147i | 0.0568546 | − | 0.0562709i | ||||
\(276\) | 17.1895 | 1.03469 | ||||||||
\(277\) | 2.58289 | + | 1.87658i | 0.155191 | + | 0.112753i | 0.662671 | − | 0.748911i | \(-0.269423\pi\) |
−0.507480 | + | 0.861664i | \(0.669423\pi\) | |||||||
\(278\) | 5.66766 | + | 17.4433i | 0.339923 | + | 1.04618i | ||||
\(279\) | −0.569538 | − | 1.75286i | −0.0340974 | − | 0.104941i | ||||
\(280\) | 11.2620 | − | 4.63087i | 0.673033 | − | 0.276748i | ||||
\(281\) | −5.92526 | + | 18.2361i | −0.353472 | + | 1.08787i | 0.603419 | + | 0.797425i | \(0.293805\pi\) |
−0.956890 | + | 0.290449i | \(0.906195\pi\) | |||||||
\(282\) | 0.503718 | 0.0299960 | ||||||||
\(283\) | −2.80803 | + | 8.64223i | −0.166920 | + | 0.513727i | −0.999173 | − | 0.0406693i | \(-0.987051\pi\) |
0.832252 | + | 0.554397i | \(0.187051\pi\) | |||||||
\(284\) | −34.1961 | + | 24.8449i | −2.02917 | + | 1.47428i | ||||
\(285\) | 6.77145 | + | 7.96989i | 0.401106 | + | 0.472096i | ||||
\(286\) | 0.830971 | + | 0.603735i | 0.0491363 | + | 0.0356996i | ||||
\(287\) | 8.64316 | − | 6.27962i | 0.510189 | − | 0.370674i | ||||
\(288\) | −1.59334 | + | 1.15763i | −0.0938884 | + | 0.0682139i | ||||
\(289\) | 10.5792 | + | 7.68627i | 0.622308 | + | 0.452133i | ||||
\(290\) | −48.2740 | + | 19.8500i | −2.83475 | + | 1.16563i | ||||
\(291\) | 3.60343 | − | 2.61804i | 0.211237 | − | 0.153472i | ||||
\(292\) | −1.68000 | + | 5.17049i | −0.0983143 | + | 0.302580i | ||||
\(293\) | −20.5582 | −1.20103 | −0.600513 | − | 0.799615i | \(-0.705037\pi\) | ||||
−0.600513 | + | 0.799615i | \(0.705037\pi\) | |||||||
\(294\) | 0.768762 | − | 2.36601i | 0.0448351 | − | 0.137988i | ||||
\(295\) | −4.99198 | − | 1.21210i | −0.290644 | − | 0.0705711i | ||||
\(296\) | 18.0226 | + | 55.4678i | 1.04754 | + | 3.22400i | ||||
\(297\) | 0.0819841 | + | 0.252321i | 0.00475720 | + | 0.0146412i | ||||
\(298\) | −16.4771 | − | 11.9713i | −0.954495 | − | 0.693481i | ||||
\(299\) | −6.38594 | −0.369309 | ||||||||
\(300\) | −9.41239 | − | 18.7109i | −0.543424 | − | 1.08027i | ||||
\(301\) | −0.340414 | −0.0196211 | ||||||||
\(302\) | 4.46778 | + | 3.24603i | 0.257092 | + | 0.186788i | ||||
\(303\) | −3.32197 | − | 10.2240i | −0.190842 | − | 0.587351i | ||||
\(304\) | −7.47153 | − | 22.9950i | −0.428522 | − | 1.31885i | ||||
\(305\) | −1.54349 | − | 20.2807i | −0.0883802 | − | 1.16127i | ||||
\(306\) | 1.52272 | − | 4.68645i | 0.0870481 | − | 0.267906i | ||||
\(307\) | −25.7370 | −1.46889 | −0.734443 | − | 0.678670i | \(-0.762557\pi\) | ||||
−0.734443 | + | 0.678670i | \(0.762557\pi\) | |||||||
\(308\) | −0.343430 | + | 1.05697i | −0.0195688 | + | 0.0602265i | ||||
\(309\) | −9.61673 | + | 6.98696i | −0.547076 | + | 0.397474i | ||||
\(310\) | −9.96314 | − | 2.41914i | −0.565868 | − | 0.137398i | ||||
\(311\) | 8.21045 | + | 5.96524i | 0.465572 | + | 0.338258i | 0.795713 | − | 0.605674i | \(-0.207096\pi\) |
−0.330141 | + | 0.943932i | \(0.607096\pi\) | |||||||
\(312\) | 6.85617 | − | 4.98130i | 0.388154 | − | 0.282010i | ||||
\(313\) | −2.85865 | + | 2.07693i | −0.161580 | + | 0.117395i | −0.665637 | − | 0.746276i | \(-0.731840\pi\) |
0.504057 | + | 0.863670i | \(0.331840\pi\) | |||||||
\(314\) | −5.76658 | − | 4.18967i | −0.325427 | − | 0.236437i | ||||
\(315\) | −2.17293 | − | 0.527607i | −0.122431 | − | 0.0297273i | ||||
\(316\) | 23.9701 | − | 17.4153i | 1.34842 | − | 0.979686i | ||||
\(317\) | 1.06209 | − | 3.26878i | 0.0596529 | − | 0.183593i | −0.916790 | − | 0.399371i | \(-0.869229\pi\) |
0.976442 | + | 0.215778i | \(0.0692287\pi\) | |||||||
\(318\) | 20.5802 | 1.15408 | ||||||||
\(319\) | 0.769255 | − | 2.36752i | 0.0430700 | − | 0.132556i | ||||
\(320\) | −0.923050 | − | 12.1284i | −0.0516001 | − | 0.677999i | ||||
\(321\) | −4.19479 | − | 12.9102i | −0.234130 | − | 0.720579i | ||||
\(322\) | −3.15462 | − | 9.70891i | −0.175800 | − | 0.541056i | ||||
\(323\) | 7.49468 | + | 5.44520i | 0.417015 | + | 0.302979i | ||||
\(324\) | 4.18899 | 0.232721 | ||||||||
\(325\) | 3.49672 | + | 6.95114i | 0.193963 | + | 0.385580i | ||||
\(326\) | −25.6699 | −1.42172 | ||||||||
\(327\) | −3.90051 | − | 2.83389i | −0.215699 | − | 0.156714i | ||||
\(328\) | 17.9784 | + | 55.3317i | 0.992689 | + | 3.05518i | ||||
\(329\) | −0.0625691 | − | 0.192568i | −0.00344955 | − | 0.0106166i | ||||
\(330\) | 1.43418 | + | 0.348231i | 0.0789489 | + | 0.0191695i | ||||
\(331\) | 1.32114 | − | 4.06605i | 0.0726164 | − | 0.223490i | −0.908161 | − | 0.418622i | \(-0.862513\pi\) |
0.980777 | + | 0.195131i | \(0.0625133\pi\) | |||||||
\(332\) | −21.3824 | −1.17351 | ||||||||
\(333\) | 3.30951 | − | 10.1856i | 0.181360 | − | 0.558169i | ||||
\(334\) | −43.8302 | + | 31.8445i | −2.39828 | + | 1.74246i | ||||
\(335\) | −19.3247 | + | 7.94620i | −1.05582 | + | 0.434147i | ||||
\(336\) | 4.18232 | + | 3.03864i | 0.228165 | + | 0.165771i | ||||
\(337\) | 8.21403 | − | 5.96784i | 0.447447 | − | 0.325089i | −0.341140 | − | 0.940012i | \(-0.610813\pi\) |
0.788587 | + | 0.614923i | \(0.210813\pi\) | |||||||
\(338\) | 21.2901 | − | 15.4682i | 1.15803 | − | 0.841359i | ||||
\(339\) | −15.9835 | − | 11.6127i | −0.868102 | − | 0.630713i | ||||
\(340\) | −12.0130 | − | 14.1391i | −0.651496 | − | 0.766800i | ||||
\(341\) | 0.395590 | − | 0.287413i | 0.0214224 | − | 0.0155643i | ||||
\(342\) | −3.59550 | + | 11.0658i | −0.194422 | + | 0.598371i | ||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | 0.572852 | − | 1.76306i | 0.0308861 | − | 0.0950577i | ||||
\(345\) | −8.48627 | + | 3.48951i | −0.456886 | + | 0.187869i | ||||
\(346\) | −14.7291 | − | 45.3316i | −0.791843 | − | 2.43704i | ||||
\(347\) | 3.59873 | + | 11.0758i | 0.193190 | + | 0.594578i | 0.999993 | + | 0.00375706i | \(0.00119591\pi\) |
−0.806803 | + | 0.590821i | \(0.798804\pi\) | |||||||
\(348\) | −31.7986 | − | 23.1030i | −1.70458 | − | 1.23845i | ||||
\(349\) | 11.6475 | 0.623478 | 0.311739 | − | 0.950168i | \(-0.399089\pi\) | ||||
0.311739 | + | 0.950168i | \(0.399089\pi\) | |||||||
\(350\) | −8.84085 | + | 8.75009i | −0.472563 | + | 0.467712i | ||||
\(351\) | −1.55622 | −0.0830648 | ||||||||
\(352\) | −0.422723 | − | 0.307126i | −0.0225312 | − | 0.0163699i | ||||
\(353\) | −0.859063 | − | 2.64393i | −0.0457233 | − | 0.140722i | 0.925589 | − | 0.378531i | \(-0.123571\pi\) |
−0.971312 | + | 0.237809i | \(0.923571\pi\) | |||||||
\(354\) | −1.76612 | − | 5.43555i | −0.0938680 | − | 0.288896i | ||||
\(355\) | 11.8387 | − | 19.2076i | 0.628332 | − | 1.01943i | ||||
\(356\) | 4.63349 | − | 14.2604i | 0.245575 | − | 0.755801i | ||||
\(357\) | −1.98074 | −0.104832 | ||||||||
\(358\) | −5.03428 | + | 15.4939i | −0.266070 | + | 0.818879i | ||||
\(359\) | 4.08888 | − | 2.97074i | 0.215803 | − | 0.156790i | −0.474633 | − | 0.880184i | \(-0.657419\pi\) |
0.690435 | + | 0.723394i | \(0.257419\pi\) | |||||||
\(360\) | 6.38919 | − | 10.3661i | 0.336740 | − | 0.546341i | ||||
\(361\) | −2.32538 | − | 1.68949i | −0.122388 | − | 0.0889204i | ||||
\(362\) | −3.69445 | + | 2.68417i | −0.194176 | + | 0.141077i | ||||
\(363\) | 8.84224 | − | 6.42427i | 0.464097 | − | 0.337186i | ||||
\(364\) | −5.27397 | − | 3.83176i | −0.276431 | − | 0.200839i | ||||
\(365\) | −0.220226 | − | 2.89366i | −0.0115272 | − | 0.151461i | ||||
\(366\) | 18.3071 | − | 13.3009i | 0.956928 | − | 0.695249i | ||||
\(367\) | −9.09810 | + | 28.0011i | −0.474917 | + | 1.46164i | 0.371153 | + | 0.928572i | \(0.378962\pi\) |
−0.846070 | + | 0.533072i | \(0.821038\pi\) | |||||||
\(368\) | 21.2136 | 1.10584 | ||||||||
\(369\) | 3.30139 | − | 10.1606i | 0.171864 | − | 0.528942i | ||||
\(370\) | −38.5750 | − | 45.4021i | −2.00542 | − | 2.36034i | ||||
\(371\) | −2.55637 | − | 7.86769i | −0.132720 | − | 0.408470i | ||||
\(372\) | −2.38579 | − | 7.34270i | −0.123697 | − | 0.380701i | ||||
\(373\) | 12.2475 | + | 8.89836i | 0.634153 | + | 0.460739i | 0.857837 | − | 0.513923i | \(-0.171808\pi\) |
−0.223683 | + | 0.974662i | \(0.571808\pi\) | |||||||
\(374\) | 1.30733 | 0.0676004 | ||||||||
\(375\) | 8.44515 | + | 7.32663i | 0.436105 | + | 0.378346i | ||||
\(376\) | 1.10263 | 0.0568639 | ||||||||
\(377\) | 11.8132 | + | 8.58282i | 0.608413 | + | 0.442038i | ||||
\(378\) | −0.768762 | − | 2.36601i | −0.0395409 | − | 0.121694i | ||||
\(379\) | 3.45309 | + | 10.6275i | 0.177373 | + | 0.545899i | 0.999734 | − | 0.0230679i | \(-0.00734339\pi\) |
−0.822361 | + | 0.568967i | \(0.807343\pi\) | |||||||
\(380\) | 28.3655 | + | 33.3858i | 1.45512 | + | 1.71265i | ||||
\(381\) | −3.22566 | + | 9.92757i | −0.165256 | + | 0.508605i | ||||
\(382\) | 43.6351 | 2.23256 | ||||||||
\(383\) | −5.41100 | + | 16.6533i | −0.276489 | + | 0.850946i | 0.712333 | + | 0.701842i | \(0.247639\pi\) |
−0.988822 | + | 0.149104i | \(0.952361\pi\) | |||||||
\(384\) | 14.1348 | − | 10.2696i | 0.721315 | − | 0.524066i | ||||
\(385\) | −0.0450194 | − | 0.591532i | −0.00229440 | − | 0.0301473i | ||||
\(386\) | 51.7652 | + | 37.6096i | 2.63478 | + | 1.91428i | ||||
\(387\) | −0.275401 | + | 0.200090i | −0.0139994 | + | 0.0101712i | ||||
\(388\) | 15.0947 | − | 10.9669i | 0.766317 | − | 0.556762i | ||||
\(389\) | 27.9710 | + | 20.3222i | 1.41819 | + | 1.03037i | 0.992067 | + | 0.125708i | \(0.0401202\pi\) |
0.426121 | + | 0.904666i | \(0.359880\pi\) | |||||||
\(390\) | −4.54228 | + | 7.36958i | −0.230007 | + | 0.373173i | ||||
\(391\) | −6.57567 | + | 4.77750i | −0.332546 | + | 0.241609i | ||||
\(392\) | 1.68281 | − | 5.17916i | 0.0849948 | − | 0.261587i | ||||
\(393\) | 20.4743 | 1.03279 | ||||||||
\(394\) | 1.24081 | − | 3.81882i | 0.0625112 | − | 0.192390i | ||||
\(395\) | −8.29843 | + | 13.4637i | −0.417539 | + | 0.677433i | ||||
\(396\) | 0.343430 | + | 1.05697i | 0.0172580 | + | 0.0531148i | ||||
\(397\) | −6.14329 | − | 18.9071i | −0.308323 | − | 0.948921i | −0.978416 | − | 0.206644i | \(-0.933746\pi\) |
0.670093 | − | 0.742277i | \(-0.266254\pi\) | |||||||
\(398\) | −35.5806 | − | 25.8508i | −1.78349 | − | 1.29578i | ||||
\(399\) | 4.67700 | 0.234143 | ||||||||
\(400\) | −11.6158 | − | 23.0911i | −0.580792 | − | 1.15456i | ||||
\(401\) | 28.3827 | 1.41736 | 0.708682 | − | 0.705528i | \(-0.249290\pi\) | ||||
0.708682 | + | 0.705528i | \(0.249290\pi\) | |||||||
\(402\) | −18.8069 | − | 13.6640i | −0.938002 | − | 0.681499i | ||||
\(403\) | 0.886326 | + | 2.72783i | 0.0441511 | + | 0.135883i | ||||
\(404\) | −13.9157 | − | 42.8280i | −0.692331 | − | 2.13078i | ||||
\(405\) | −2.06806 | + | 0.850374i | −0.102763 | + | 0.0422554i | ||||
\(406\) | −7.21328 | + | 22.2002i | −0.357989 | + | 1.10178i | ||||
\(407\) | 2.84138 | 0.140842 | ||||||||
\(408\) | 3.33321 | − | 10.2586i | 0.165019 | − | 0.507875i | ||||
\(409\) | 12.7972 | − | 9.29774i | 0.632783 | − | 0.459743i | −0.224580 | − | 0.974456i | \(-0.572101\pi\) |
0.857363 | + | 0.514712i | \(0.172101\pi\) | |||||||
\(410\) | −38.4803 | − | 45.2907i | −1.90041 | − | 2.23675i | ||||
\(411\) | −3.06296 | − | 2.22537i | −0.151085 | − | 0.109769i | ||||
\(412\) | −40.2843 | + | 29.2683i | −1.98467 | + | 1.44194i | ||||
\(413\) | −1.85859 | + | 1.35035i | −0.0914555 | + | 0.0664463i | ||||
\(414\) | −8.25889 | − | 6.00043i | −0.405902 | − | 0.294905i | ||||
\(415\) | 10.5562 | − | 4.34067i | 0.518186 | − | 0.213075i | ||||
\(416\) | 2.47958 | − | 1.80152i | 0.121572 | − | 0.0883269i | ||||
\(417\) | 2.27821 | − | 7.01161i | 0.111564 | − | 0.343360i | ||||
\(418\) | −3.08691 | −0.150986 | ||||||||
\(419\) | −0.690509 | + | 2.12517i | −0.0337336 | + | 0.103821i | −0.966506 | − | 0.256646i | \(-0.917383\pi\) |
0.932772 | + | 0.360467i | \(0.117383\pi\) | |||||||
\(420\) | −9.10238 | − | 2.21014i | −0.444151 | − | 0.107844i | ||||
\(421\) | −7.94896 | − | 24.4644i | −0.387409 | − | 1.19232i | −0.934718 | − | 0.355391i | \(-0.884348\pi\) |
0.547309 | − | 0.836930i | \(-0.315652\pi\) | |||||||
\(422\) | 17.8414 | + | 54.9101i | 0.868505 | + | 2.67298i | ||||
\(423\) | −0.163808 | − | 0.119014i | −0.00796463 | − | 0.00578664i | ||||
\(424\) | 45.0499 | 2.18782 | ||||||||
\(425\) | 8.80095 | + | 4.54166i | 0.426909 | + | 0.220303i | ||||
\(426\) | 25.1027 | 1.21623 | ||||||||
\(427\) | −7.35885 | − | 5.34652i | −0.356120 | − | 0.258736i | ||||
\(428\) | −17.5719 | − | 54.0808i | −0.849371 | − | 2.61409i | ||||
\(429\) | −0.127585 | − | 0.392667i | −0.00615988 | − | 0.0189581i | ||||
\(430\) | 0.143704 | + | 1.88820i | 0.00693003 | + | 0.0910570i | ||||
\(431\) | −1.22942 | + | 3.78377i | −0.0592191 | + | 0.182258i | −0.976290 | − | 0.216466i | \(-0.930547\pi\) |
0.917071 | + | 0.398724i | \(0.130547\pi\) | |||||||
\(432\) | 5.16964 | 0.248724 | ||||||||
\(433\) | −7.67118 | + | 23.6095i | −0.368654 | + | 1.13460i | 0.579008 | + | 0.815322i | \(0.303440\pi\) |
−0.947661 | + | 0.319277i | \(0.896560\pi\) | |||||||
\(434\) | −3.70944 | + | 2.69506i | −0.178059 | + | 0.129367i | ||||
\(435\) | 20.3886 | + | 4.95053i | 0.977557 | + | 0.237360i | ||||
\(436\) | −16.3392 | − | 11.8711i | −0.782506 | − | 0.568524i | ||||
\(437\) | 15.5267 | − | 11.2808i | 0.742743 | − | 0.539634i | ||||
\(438\) | 2.61207 | − | 1.89778i | 0.124809 | − | 0.0906793i | ||||
\(439\) | −25.0253 | − | 18.1820i | −1.19439 | − | 0.867777i | −0.200671 | − | 0.979659i | \(-0.564312\pi\) |
−0.993722 | + | 0.111882i | \(0.964312\pi\) | |||||||
\(440\) | 3.13940 | + | 0.762274i | 0.149665 | + | 0.0363400i | ||||
\(441\) | −0.809017 | + | 0.587785i | −0.0385246 | + | 0.0279898i | ||||
\(442\) | −2.36969 | + | 7.29314i | −0.112714 | + | 0.346899i | ||||
\(443\) | −33.2526 | −1.57988 | −0.789939 | − | 0.613186i | \(-0.789888\pi\) | ||||
−0.789939 | + | 0.613186i | \(0.789888\pi\) | |||||||
\(444\) | 13.8635 | − | 42.6675i | 0.657932 | − | 2.02491i | ||||
\(445\) | 0.607392 | + | 7.98083i | 0.0287932 | + | 0.378328i | ||||
\(446\) | −11.4572 | − | 35.2616i | −0.542513 | − | 1.66968i | ||||
\(447\) | 2.52986 | + | 7.78611i | 0.119658 | + | 0.368271i | ||||
\(448\) | −4.40079 | − | 3.19736i | −0.207918 | − | 0.151061i | ||||
\(449\) | 12.5413 | 0.591859 | 0.295929 | − | 0.955210i | \(-0.404371\pi\) | ||||
0.295929 | + | 0.955210i | \(0.404371\pi\) | |||||||
\(450\) | −2.00923 | + | 12.2755i | −0.0947159 | + | 0.578672i | ||||
\(451\) | 2.83441 | 0.133467 | ||||||||
\(452\) | −66.9545 | − | 48.6453i | −3.14927 | − | 2.28808i | ||||
\(453\) | −0.685973 | − | 2.11121i | −0.0322298 | − | 0.0991932i | ||||
\(454\) | 19.9063 | + | 61.2654i | 0.934250 | + | 2.87533i | ||||
\(455\) | 3.38156 | + | 0.821073i | 0.158530 | + | 0.0384925i | ||||
\(456\) | −7.87051 | + | 24.2229i | −0.368570 | + | 1.13434i | ||||
\(457\) | −20.0613 | −0.938428 | −0.469214 | − | 0.883085i | \(-0.655463\pi\) | ||||
−0.469214 | + | 0.883085i | \(0.655463\pi\) | |||||||
\(458\) | −13.8154 | + | 42.5194i | −0.645551 | + | 1.98680i | ||||
\(459\) | −1.60245 | + | 1.16425i | −0.0747961 | + | 0.0543426i | ||||
\(460\) | −35.5489 | + | 14.6175i | −1.65748 | + | 0.681544i | ||||
\(461\) | 13.8412 | + | 10.0562i | 0.644649 | + | 0.468365i | 0.861444 | − | 0.507852i | \(-0.169560\pi\) |
−0.216795 | + | 0.976217i | \(0.569560\pi\) | |||||||
\(462\) | 0.533968 | − | 0.387950i | 0.0248424 | − | 0.0180491i | ||||
\(463\) | −27.5180 | + | 19.9930i | −1.27887 | + | 0.929153i | −0.999518 | − | 0.0310363i | \(-0.990119\pi\) |
−0.279351 | + | 0.960189i | \(0.590119\pi\) | |||||||
\(464\) | −39.2427 | − | 28.5115i | −1.82179 | − | 1.32361i | ||||
\(465\) | 2.66842 | + | 3.14069i | 0.123745 | + | 0.145646i | ||||
\(466\) | 45.8609 | − | 33.3199i | 2.12447 | − | 1.54352i | ||||
\(467\) | 12.1228 | − | 37.3101i | 0.560975 | − | 1.72650i | −0.118641 | − | 0.992937i | \(-0.537854\pi\) |
0.679616 | − | 0.733568i | \(-0.262146\pi\) | |||||||
\(468\) | −6.51898 | −0.301340 | ||||||||
\(469\) | −2.88757 | + | 8.88701i | −0.133335 | + | 0.410364i | ||||
\(470\) | −1.04172 | + | 0.428349i | −0.0480509 | + | 0.0197583i | ||||
\(471\) | 0.885388 | + | 2.72494i | 0.0407965 | + | 0.125559i | ||||
\(472\) | −3.86600 | − | 11.8983i | −0.177947 | − | 0.547665i | ||||
\(473\) | −0.0730655 | − | 0.0530852i | −0.00335955 | − | 0.00244086i | ||||
\(474\) | −17.5959 | −0.808208 | ||||||||
\(475\) | −20.7811 | − | 10.7239i | −0.953504 | − | 0.492048i | ||||
\(476\) | −8.29730 | −0.380306 | ||||||||
\(477\) | −6.69266 | − | 4.86250i | −0.306436 | − | 0.222639i | ||||
\(478\) | 12.2709 | + | 37.7660i | 0.561259 | + | 1.72738i | ||||
\(479\) | 1.22122 | + | 3.75853i | 0.0557990 | + | 0.171732i | 0.975072 | − | 0.221889i | \(-0.0712223\pi\) |
−0.919273 | + | 0.393621i | \(0.871222\pi\) | |||||||
\(480\) | 2.31070 | − | 3.74898i | 0.105469 | − | 0.171117i | ||||
\(481\) | −5.15032 | + | 15.8511i | −0.234835 | + | 0.722746i | ||||
\(482\) | −55.4729 | −2.52672 | ||||||||
\(483\) | −1.26805 | + | 3.90266i | −0.0576983 | + | 0.177577i | ||||
\(484\) | 37.0400 | − | 26.9112i | 1.68364 | − | 1.22323i | ||||
\(485\) | −5.22578 | + | 8.47852i | −0.237290 | + | 0.384990i | ||||
\(486\) | −2.01265 | − | 1.46227i | −0.0912955 | − | 0.0663301i | ||||
\(487\) | −31.0579 | + | 22.5649i | −1.40737 | + | 1.02251i | −0.413669 | + | 0.910427i | \(0.635753\pi\) |
−0.993699 | + | 0.112085i | \(0.964247\pi\) | |||||||
\(488\) | 40.0740 | − | 29.1155i | 1.81407 | − | 1.31800i | ||||
\(489\) | 8.34779 | + | 6.06502i | 0.377500 | + | 0.274270i | ||||
\(490\) | 0.422145 | + | 5.54678i | 0.0190706 | + | 0.250578i | ||||
\(491\) | −19.8753 | + | 14.4402i | −0.896958 | + | 0.651678i | −0.937683 | − | 0.347493i | \(-0.887033\pi\) |
0.0407252 | + | 0.999170i | \(0.487033\pi\) | |||||||
\(492\) | 13.8295 | − | 42.5628i | 0.623482 | − | 1.91888i | ||||
\(493\) | 18.5853 | 0.837038 | ||||||||
\(494\) | 5.59539 | − | 17.2208i | 0.251748 | − | 0.774802i | ||||
\(495\) | −0.384115 | − | 0.452098i | −0.0172647 | − | 0.0203203i | ||||
\(496\) | −2.94431 | − | 9.06164i | −0.132203 | − | 0.406880i | ||||
\(497\) | −3.11812 | − | 9.59658i | −0.139867 | − | 0.430465i | ||||
\(498\) | 10.2734 | + | 7.46406i | 0.460362 | + | 0.334472i | ||||
\(499\) | −20.4169 | −0.913987 | −0.456993 | − | 0.889470i | \(-0.651074\pi\) | ||||
−0.456993 | + | 0.889470i | \(0.651074\pi\) | |||||||
\(500\) | 35.3766 | + | 30.6912i | 1.58209 | + | 1.37255i | ||||
\(501\) | 21.7774 | 0.972944 | ||||||||
\(502\) | −51.9502 | − | 37.7441i | −2.31865 | − | 1.68460i | ||||
\(503\) | −2.61594 | − | 8.05103i | −0.116639 | − | 0.358978i | 0.875646 | − | 0.482953i | \(-0.160436\pi\) |
−0.992285 | + | 0.123975i | \(0.960436\pi\) | |||||||
\(504\) | −1.68281 | − | 5.17916i | −0.0749584 | − | 0.230698i | ||||
\(505\) | 15.5642 | + | 18.3188i | 0.692598 | + | 0.815178i | ||||
\(506\) | 0.836939 | − | 2.57583i | 0.0372065 | − | 0.114510i | ||||
\(507\) | −10.5782 | −0.469794 | ||||||||
\(508\) | −13.5123 | + | 41.5865i | −0.599510 | + | 1.84510i | ||||
\(509\) | 3.90385 | − | 2.83632i | 0.173035 | − | 0.125717i | −0.497897 | − | 0.867236i | \(-0.665894\pi\) |
0.670932 | + | 0.741519i | \(0.265894\pi\) | |||||||
\(510\) | 0.836161 | + | 10.9867i | 0.0370258 | + | 0.486501i | ||||
\(511\) | −1.04996 | − | 0.762843i | −0.0464477 | − | 0.0337462i | ||||
\(512\) | 37.3143 | − | 27.1104i | 1.64907 | − | 1.19812i | ||||
\(513\) | 3.78377 | − | 2.74907i | 0.167058 | − | 0.121374i | ||||
\(514\) | −38.0509 | − | 27.6456i | −1.67835 | − | 1.21939i | ||||
\(515\) | 13.9464 | − | 22.6273i | 0.614553 | − | 0.997076i | ||||
\(516\) | −1.15365 | + | 0.838175i | −0.0507866 | + | 0.0368986i | ||||
\(517\) | 0.0166000 | − | 0.0510895i | 0.000730067 | − | 0.00224691i | ||||
\(518\) | −26.6435 | −1.17065 | ||||||||
\(519\) | −5.92062 | + | 18.2218i | −0.259887 | + | 0.799849i | ||||
\(520\) | −9.94299 | + | 16.1319i | −0.436029 | + | 0.707431i | ||||
\(521\) | 1.37180 | + | 4.22198i | 0.0600998 | + | 0.184968i | 0.976599 | − | 0.215068i | \(-0.0689974\pi\) |
−0.916499 | + | 0.400037i | \(0.868997\pi\) | |||||||
\(522\) | 7.21328 | + | 22.2002i | 0.315717 | + | 0.971676i | ||||
\(523\) | 29.2550 | + | 21.2550i | 1.27923 | + | 0.929416i | 0.999530 | − | 0.0306711i | \(-0.00976443\pi\) |
0.279702 | + | 0.960087i | \(0.409764\pi\) | |||||||
\(524\) | 85.7664 | 3.74672 | ||||||||
\(525\) | 4.94241 | − | 0.756681i | 0.215705 | − | 0.0330243i | ||||
\(526\) | −22.4232 | −0.977699 | ||||||||
\(527\) | 2.95343 | + | 2.14579i | 0.128653 | + | 0.0934721i | ||||
\(528\) | 0.423828 | + | 1.30441i | 0.0184448 | + | 0.0567671i | ||||
\(529\) | −1.90395 | − | 5.85975i | −0.0827803 | − | 0.254772i | ||||
\(530\) | −42.5612 | + | 17.5009i | −1.84874 | + | 0.760191i | ||||
\(531\) | −0.709920 | + | 2.18491i | −0.0308079 | + | 0.0948170i | ||||
\(532\) | 19.5919 | 0.849416 | ||||||||
\(533\) | −5.13769 | + | 15.8122i | −0.222538 | + | 0.684902i | ||||
\(534\) | −7.20418 | + | 5.23414i | −0.311755 | + | 0.226504i | ||||
\(535\) | 19.6536 | + | 23.1320i | 0.849699 | + | 1.00008i | ||||
\(536\) | −41.1680 | − | 29.9103i | −1.77819 | − | 1.29193i | ||||
\(537\) | 5.29789 | − | 3.84914i | 0.228621 | − | 0.166103i | ||||
\(538\) | 29.5531 | − | 21.4716i | 1.27412 | − | 0.925704i | ||||
\(539\) | −0.214637 | − | 0.155943i | −0.00924508 | − | 0.00671694i | ||||
\(540\) | −8.66307 | + | 3.56220i | −0.372799 | + | 0.153293i | ||||
\(541\) | −8.07477 | + | 5.86666i | −0.347161 | + | 0.252227i | −0.747677 | − | 0.664062i | \(-0.768831\pi\) |
0.400516 | + | 0.916290i | \(0.368831\pi\) | |||||||
\(542\) | −11.7164 | + | 36.0593i | −0.503262 | + | 1.54888i | ||||
\(543\) | 1.83562 | 0.0787739 | ||||||||
\(544\) | 1.20548 | − | 3.71009i | 0.0516846 | − | 0.159069i | ||||
\(545\) | 10.4764 | + | 2.54375i | 0.448758 | + | 0.108962i | ||||
\(546\) | 1.19636 | + | 3.68203i | 0.0511996 | + | 0.157576i | ||||
\(547\) | 3.98130 | + | 12.2532i | 0.170228 | + | 0.523908i | 0.999383 | − | 0.0351104i | \(-0.0111783\pi\) |
−0.829156 | + | 0.559018i | \(0.811178\pi\) | |||||||
\(548\) | −12.8307 | − | 9.32204i | −0.548100 | − | 0.398218i | ||||
\(549\) | −9.09604 | −0.388210 | ||||||||
\(550\) | −3.26209 | + | 0.499425i | −0.139096 | + | 0.0212956i | ||||
\(551\) | −43.8842 | −1.86953 | ||||||||
\(552\) | −18.0786 | − | 13.1349i | −0.769476 | − | 0.559057i | ||||
\(553\) | 2.18567 | + | 6.72681i | 0.0929442 | + | 0.286053i | ||||
\(554\) | −2.45437 | − | 7.55378i | −0.104276 | − | 0.320929i | ||||
\(555\) | 1.81733 | + | 23.8788i | 0.0771413 | + | 1.01360i | ||||
\(556\) | 9.54339 | − | 29.3715i | 0.404730 | − | 1.24563i | ||||
\(557\) | 42.9169 | 1.81845 | 0.909224 | − | 0.416308i | \(-0.136676\pi\) | ||||
0.909224 | + | 0.416308i | \(0.136676\pi\) | |||||||
\(558\) | −1.41688 | + | 4.36070i | −0.0599813 | + | 0.184603i | ||||
\(559\) | 0.428584 | − | 0.311384i | 0.0181272 | − | 0.0131701i | ||||
\(560\) | −11.2333 | − | 2.72754i | −0.474692 | − | 0.115260i | ||||
\(561\) | −0.425141 | − | 0.308883i | −0.0179495 | − | 0.0130410i | ||||
\(562\) | 38.5916 | − | 28.0384i | 1.62789 | − | 1.18273i | ||||
\(563\) | 25.9940 | − | 18.8858i | 1.09552 | − | 0.795940i | 0.115195 | − | 0.993343i | \(-0.463251\pi\) |
0.980322 | + | 0.197403i | \(0.0632507\pi\) | |||||||
\(564\) | −0.686190 | − | 0.498546i | −0.0288938 | − | 0.0209926i | ||||
\(565\) | 42.9298 | + | 10.4237i | 1.80607 | + | 0.438530i | ||||
\(566\) | 18.2889 | − | 13.2876i | 0.768739 | − | 0.558522i | ||||
\(567\) | −0.309017 | + | 0.951057i | −0.0129775 | + | 0.0399406i | ||||
\(568\) | 54.9494 | 2.30563 | ||||||||
\(569\) | 2.11070 | − | 6.49607i | 0.0884852 | − | 0.272330i | −0.897016 | − | 0.441998i | \(-0.854270\pi\) |
0.985501 | + | 0.169669i | \(0.0542698\pi\) | |||||||
\(570\) | −1.97437 | − | 25.9423i | −0.0826974 | − | 1.08660i | ||||
\(571\) | −9.43191 | − | 29.0284i | −0.394713 | − | 1.21480i | −0.929185 | − | 0.369616i | \(-0.879489\pi\) |
0.534472 | − | 0.845186i | \(-0.320511\pi\) | |||||||
\(572\) | −0.534453 | − | 1.64488i | −0.0223466 | − | 0.0687758i | ||||
\(573\) | −14.1900 | − | 10.3097i | −0.592797 | − | 0.430693i | ||||
\(574\) | −26.5781 | −1.10935 | ||||||||
\(575\) | 14.5827 | − | 14.4330i | 0.608141 | − | 0.601898i | ||||
\(576\) | −5.43968 | −0.226653 | ||||||||
\(577\) | 8.89810 | + | 6.46485i | 0.370433 | + | 0.269135i | 0.757390 | − | 0.652962i | \(-0.226474\pi\) |
−0.386958 | + | 0.922098i | \(0.626474\pi\) | |||||||
\(578\) | −10.0528 | − | 30.9395i | −0.418143 | − | 1.28691i | ||||
\(579\) | −7.94791 | − | 24.4612i | −0.330304 | − | 1.01657i | ||||
\(580\) | 85.4074 | + | 20.7377i | 3.54635 | + | 0.861086i | ||||
\(581\) | 1.57735 | − | 4.85459i | 0.0654396 | − | 0.201403i | ||||
\(582\) | −11.0807 | −0.459310 | ||||||||
\(583\) | 0.678220 | − | 2.08735i | 0.0280890 | − | 0.0864491i | ||||
\(584\) | 5.71778 | − | 4.15421i | 0.236603 | − | 0.171902i | ||||
\(585\) | 3.21835 | − | 1.32337i | 0.133062 | − | 0.0547145i | ||||
\(586\) | 41.3765 | + | 30.0618i | 1.70925 | + | 1.24184i | ||||
\(587\) | 19.3825 | − | 14.0822i | 0.800000 | − | 0.581234i | −0.110914 | − | 0.993830i | \(-0.535378\pi\) |
0.910914 | + | 0.412596i | \(0.135378\pi\) | |||||||
\(588\) | −3.38896 | + | 2.46222i | −0.139758 | + | 0.101540i | ||||
\(589\) | −6.97374 | − | 5.06672i | −0.287348 | − | 0.208770i | ||||
\(590\) | 8.27467 | + | 9.73916i | 0.340663 | + | 0.400955i | ||||
\(591\) | −1.30578 | + | 0.948707i | −0.0537128 | + | 0.0390246i | ||||
\(592\) | 17.1090 | − | 52.6560i | 0.703174 | − | 2.16415i | ||||
\(593\) | −24.7528 | −1.01648 | −0.508238 | − | 0.861217i | \(-0.669703\pi\) | ||||
−0.508238 | + | 0.861217i | \(0.669703\pi\) | |||||||
\(594\) | 0.203957 | − | 0.627717i | 0.00836848 | − | 0.0257555i | ||||
\(595\) | 4.09629 | − | 1.68437i | 0.167931 | − | 0.0690525i | ||||
\(596\) | 10.5976 | + | 32.6159i | 0.434093 | + | 1.33600i | ||||
\(597\) | 5.46296 | + | 16.8133i | 0.223584 | + | 0.688122i | ||||
\(598\) | 12.8526 | + | 9.33799i | 0.525584 | + | 0.381859i | ||||
\(599\) | 27.6193 | 1.12850 | 0.564248 | − | 0.825605i | \(-0.309166\pi\) | ||||
0.564248 | + | 0.825605i | \(0.309166\pi\) | |||||||
\(600\) | −4.39817 | + | 26.8709i | −0.179555 | + | 1.09700i | ||||
\(601\) | −42.8771 | −1.74899 | −0.874497 | − | 0.485032i | \(-0.838808\pi\) | ||||
−0.874497 | + | 0.485032i | \(0.838808\pi\) | |||||||
\(602\) | 0.685132 | + | 0.497778i | 0.0279239 | + | 0.0202879i | ||||
\(603\) | 2.88757 | + | 8.88701i | 0.117591 | + | 0.361907i | ||||
\(604\) | −2.87353 | − | 8.84382i | −0.116922 | − | 0.359850i | ||||
\(605\) | −12.8232 | + | 20.8050i | −0.521339 | + | 0.845842i | ||||
\(606\) | −8.26428 | + | 25.4348i | −0.335713 | + | 1.03322i | ||||
\(607\) | 0.238068 | 0.00966288 | 0.00483144 | − | 0.999988i | \(-0.498462\pi\) | ||||
0.00483144 | + | 0.999988i | \(0.498462\pi\) | |||||||
\(608\) | −2.84643 | + | 8.76040i | −0.115438 | + | 0.355281i | ||||
\(609\) | 7.59099 | − | 5.51518i | 0.307602 | − | 0.223486i | ||||
\(610\) | −26.5494 | + | 43.0749i | −1.07496 | + | 1.74405i | ||||
\(611\) | 0.254921 | + | 0.185211i | 0.0103130 | + | 0.00749284i | ||||
\(612\) | −6.71266 | + | 4.87703i | −0.271343 | + | 0.197142i | ||||
\(613\) | −5.22461 | + | 3.79590i | −0.211020 | + | 0.153315i | −0.688275 | − | 0.725450i | \(-0.741632\pi\) |
0.477255 | + | 0.878765i | \(0.341632\pi\) | |||||||
\(614\) | 51.7994 | + | 37.6345i | 2.09045 | + | 1.51880i | ||||
\(615\) | 1.81287 | + | 23.8202i | 0.0731020 | + | 0.960524i | ||||
\(616\) | 1.16885 | − | 0.849218i | 0.0470942 | − | 0.0342160i | ||||
\(617\) | 10.9258 | − | 33.6261i | 0.439856 | − | 1.35374i | −0.448172 | − | 0.893947i | \(-0.647925\pi\) |
0.888028 | − | 0.459790i | \(-0.152075\pi\) | |||||||
\(618\) | 29.5719 | 1.18956 | ||||||||
\(619\) | 14.3386 | − | 44.1298i | 0.576318 | − | 1.77373i | −0.0553268 | − | 0.998468i | \(-0.517620\pi\) |
0.631645 | − | 0.775258i | \(-0.282380\pi\) | |||||||
\(620\) | 11.1780 | + | 13.1563i | 0.448919 | + | 0.528371i | ||||
\(621\) | 1.26805 | + | 3.90266i | 0.0508851 | + | 0.156608i | ||||
\(622\) | −7.80192 | − | 24.0118i | −0.312829 | − | 0.962787i | ||||
\(623\) | 2.89584 | + | 2.10395i | 0.116019 | + | 0.0842931i | ||||
\(624\) | −8.04509 | −0.322061 | ||||||||
\(625\) | −23.6954 | − | 7.97037i | −0.947817 | − | 0.318815i | ||||
\(626\) | 8.79048 | 0.351338 | ||||||||
\(627\) | 1.00386 | + | 0.729346i | 0.0400902 | + | 0.0291273i | ||||
\(628\) | 3.70888 | + | 11.4148i | 0.148000 | + | 0.455498i | ||||
\(629\) | 6.55529 | + | 20.1751i | 0.261376 | + | 0.804434i | ||||
\(630\) | 3.60184 | + | 4.23931i | 0.143501 | + | 0.168898i | ||||
\(631\) | −8.69925 | + | 26.7735i | −0.346312 | + | 1.06584i | 0.614566 | + | 0.788865i | \(0.289331\pi\) |
−0.960878 | + | 0.276972i | \(0.910669\pi\) | |||||||
\(632\) | −38.5173 | −1.53213 | ||||||||
\(633\) | 7.17164 | − | 22.0720i | 0.285047 | − | 0.877285i | ||||
\(634\) | −6.91746 | + | 5.02583i | −0.274727 | + | 0.199601i | ||||
\(635\) | −1.77129 | − | 23.2738i | −0.0702914 | − | 0.923593i | ||||
\(636\) | −28.0354 | − | 20.3689i | −1.11168 | − | 0.807681i | ||||
\(637\) | 1.25901 | − | 0.914723i | 0.0498837 | − | 0.0362426i | ||||
\(638\) | −5.01021 | + | 3.64013i | −0.198356 | + | 0.144114i | ||||
\(639\) | −8.16334 | − | 5.93101i | −0.322937 | − | 0.234627i | ||||
\(640\) | −20.4987 | + | 33.2579i | −0.810282 | + | 1.31463i | ||||
\(641\) | −9.91464 | + | 7.20340i | −0.391605 | + | 0.284517i | −0.766113 | − | 0.642706i | \(-0.777812\pi\) |
0.374508 | + | 0.927224i | \(0.377812\pi\) | |||||||
\(642\) | −10.4357 | + | 32.1177i | −0.411863 | + | 1.26758i | ||||
\(643\) | 22.3423 | 0.881096 | 0.440548 | − | 0.897729i | \(-0.354784\pi\) | ||||
0.440548 | + | 0.897729i | \(0.354784\pi\) | |||||||
\(644\) | −5.31185 | + | 16.3482i | −0.209316 | + | 0.644209i | ||||
\(645\) | 0.399393 | − | 0.647992i | 0.0157261 | − | 0.0255146i | ||||
\(646\) | −7.12176 | − | 21.9185i | −0.280202 | − | 0.862373i | ||||
\(647\) | 7.95322 | + | 24.4775i | 0.312673 | + | 0.962309i | 0.976702 | + | 0.214602i | \(0.0688454\pi\) |
−0.664028 | + | 0.747707i | \(0.731155\pi\) | |||||||
\(648\) | −4.40566 | − | 3.20090i | −0.173071 | − | 0.125743i | ||||
\(649\) | −0.609501 | −0.0239250 | ||||||||
\(650\) | 3.12680 | − | 19.1034i | 0.122643 | − | 0.749295i | ||||
\(651\) | 1.84306 | 0.0722354 | ||||||||
\(652\) | 34.9688 | + | 25.4063i | 1.36948 | + | 0.994988i | ||||
\(653\) | −1.31006 | − | 4.03195i | −0.0512666 | − | 0.157782i | 0.922146 | − | 0.386843i | \(-0.126435\pi\) |
−0.973412 | + | 0.229061i | \(0.926435\pi\) | |||||||
\(654\) | 3.70643 | + | 11.4072i | 0.144933 | + | 0.446058i | ||||
\(655\) | −42.3419 | + | 17.4108i | −1.65444 | + | 0.680295i | ||||
\(656\) | 17.0670 | − | 52.5268i | 0.666354 | − | 2.05083i | ||||
\(657\) | −1.29783 | −0.0506330 | ||||||||
\(658\) | −0.155657 | + | 0.479065i | −0.00606816 | + | 0.0186759i | ||||
\(659\) | 1.59069 | − | 1.15571i | 0.0619646 | − | 0.0450199i | −0.556372 | − | 0.830933i | \(-0.687807\pi\) |
0.618336 | + | 0.785914i | \(0.287807\pi\) | |||||||
\(660\) | −1.60905 | − | 1.89383i | −0.0626323 | − | 0.0737173i | ||||
\(661\) | −2.85512 | − | 2.07437i | −0.111051 | − | 0.0806836i | 0.530874 | − | 0.847451i | \(-0.321864\pi\) |
−0.641925 | + | 0.766767i | \(0.721864\pi\) | |||||||
\(662\) | −8.60466 | + | 6.25165i | −0.334430 | + | 0.242977i | ||||
\(663\) | 2.49377 | − | 1.81183i | 0.0968500 | − | 0.0703656i | ||||
\(664\) | 22.4883 | + | 16.3387i | 0.872716 | + | 0.634066i | ||||
\(665\) | −9.67231 | + | 3.97720i | −0.375076 | + | 0.154229i | ||||
\(666\) | −21.5550 | + | 15.6607i | −0.835241 | + | 0.606838i | ||||
\(667\) | 11.8981 | − | 36.6186i | 0.460696 | − | 1.41788i | ||||
\(668\) | 91.2253 | 3.52961 | ||||||||
\(669\) | −4.60541 | + | 14.1740i | −0.178055 | + | 0.547998i | ||||
\(670\) | 50.5133 | + | 12.2651i | 1.95150 | + | 0.473841i | ||||
\(671\) | −0.745731 | − | 2.29512i | −0.0287886 | − | 0.0886023i | ||||
\(672\) | −0.608601 | − | 1.87308i | −0.0234773 | − | 0.0722557i | ||||
\(673\) | −16.0139 | − | 11.6348i | −0.617290 | − | 0.448487i | 0.234684 | − | 0.972072i | \(-0.424594\pi\) |
−0.851974 | + | 0.523585i | \(0.824594\pi\) | |||||||
\(674\) | −25.2586 | −0.972923 | ||||||||
\(675\) | 3.55373 | − | 3.51724i | 0.136783 | − | 0.135379i | ||||
\(676\) | −44.3119 | −1.70430 | ||||||||
\(677\) | −21.3791 | − | 15.5328i | −0.821666 | − | 0.596975i | 0.0955233 | − | 0.995427i | \(-0.469548\pi\) |
−0.917189 | + | 0.398452i | \(0.869548\pi\) | |||||||
\(678\) | 15.1882 | + | 46.7444i | 0.583298 | + | 1.79521i | ||||
\(679\) | 1.37639 | + | 4.23608i | 0.0528209 | + | 0.162566i | ||||
\(680\) | 1.83035 | + | 24.0498i | 0.0701905 | + | 0.922268i | ||||
\(681\) | 8.00169 | − | 24.6267i | 0.306625 | − | 0.943696i | ||||
\(682\) | −1.21646 | −0.0465807 | ||||||||
\(683\) | −6.84086 | + | 21.0540i | −0.261758 | + | 0.805609i | 0.730664 | + | 0.682737i | \(0.239211\pi\) |
−0.992422 | + | 0.122872i | \(0.960789\pi\) | |||||||
\(684\) | 15.8502 | − | 11.5158i | 0.606047 | − | 0.440319i | ||||
\(685\) | 8.22677 | + | 1.99753i | 0.314329 | + | 0.0763218i | ||||
\(686\) | 2.01265 | + | 1.46227i | 0.0768432 | + | 0.0558298i | ||||
\(687\) | 14.5388 | − | 10.5631i | 0.554691 | − | 0.403006i | ||||
\(688\) | −1.42372 | + | 1.03439i | −0.0542788 | + | 0.0394359i | ||||
\(689\) | 10.4152 | + | 7.56711i | 0.396789 | + | 0.288284i | ||||
\(690\) | 22.1825 | + | 5.38610i | 0.844472 | + | 0.205045i | ||||
\(691\) | −33.1958 | + | 24.1182i | −1.26283 | + | 0.917498i | −0.998893 | − | 0.0470426i | \(-0.985020\pi\) |
−0.263935 | + | 0.964541i | \(0.585020\pi\) | |||||||
\(692\) | −24.8014 | + | 76.3309i | −0.942808 | + | 2.90167i | ||||
\(693\) | −0.265306 | −0.0100782 | ||||||||
\(694\) | 8.95281 | − | 27.5539i | 0.339844 | − | 1.04593i | ||||
\(695\) | 1.25102 | + | 16.4377i | 0.0474538 | + | 0.623519i | ||||
\(696\) | 15.7898 | + | 48.5959i | 0.598510 | + | 1.84202i | ||||
\(697\) | 6.53921 | + | 20.1256i | 0.247690 | + | 0.762312i | ||||
\(698\) | −23.4424 | − | 17.0319i | −0.887306 | − | 0.644666i | ||||
\(699\) | −22.7864 | −0.861861 | ||||||||
\(700\) | 20.7037 | − | 3.16973i | 0.782526 | − | 0.119804i | ||||
\(701\) | −41.2940 | −1.55965 | −0.779826 | − | 0.625996i | \(-0.784693\pi\) | ||||
−0.779826 | + | 0.625996i | \(0.784693\pi\) | |||||||
\(702\) | 3.13212 | + | 2.27562i | 0.118214 | + | 0.0858876i | ||||
\(703\) | −15.4786 | − | 47.6382i | −0.583786 | − | 1.79671i | ||||
\(704\) | −0.445967 | − | 1.37255i | −0.0168080 | − | 0.0517298i | ||||
\(705\) | 0.439971 | + | 0.106829i | 0.0165703 | + | 0.00402341i | ||||
\(706\) | −2.13715 | + | 6.57747i | −0.0804327 | + | 0.247546i | ||||
\(707\) | 10.7501 | 0.404300 | ||||||||
\(708\) | −2.97385 | + | 9.15255i | −0.111764 | + | 0.343974i | ||||
\(709\) | −3.39017 | + | 2.46310i | −0.127321 | + | 0.0925038i | −0.649623 | − | 0.760257i | \(-0.725073\pi\) |
0.522302 | + | 0.852760i | \(0.325073\pi\) | |||||||
\(710\) | −51.9138 | + | 21.3467i | −1.94829 | + | 0.801126i | ||||
\(711\) | 5.72216 | + | 4.15739i | 0.214598 | + | 0.155914i | ||||
\(712\) | −15.7699 | + | 11.4575i | −0.591000 | + | 0.429387i | ||||
\(713\) | 6.11861 | − | 4.44543i | 0.229144 | − | 0.166483i | ||||
\(714\) | 3.98653 | + | 2.89639i | 0.149192 | + | 0.108394i | ||||
\(715\) | 0.597768 | + | 0.703563i | 0.0223552 | + | 0.0263118i | ||||
\(716\) | 22.1928 | − | 16.1240i | 0.829384 | − | 0.602583i | ||||
\(717\) | 4.93250 | − | 15.1807i | 0.184208 | − | 0.566933i | ||||
\(718\) | −12.5735 | −0.469239 | ||||||||
\(719\) | 6.44749 | − | 19.8433i | 0.240451 | − | 0.740032i | −0.755901 | − | 0.654686i | \(-0.772801\pi\) |
0.996351 | − | 0.0853453i | \(-0.0271993\pi\) | |||||||
\(720\) | −10.6911 | + | 4.39612i | −0.398434 | + | 0.163834i | ||||
\(721\) | −3.67326 | − | 11.3051i | −0.136799 | − | 0.421025i | ||||
\(722\) | 2.20968 | + | 6.80068i | 0.0822356 | + | 0.253095i | ||||
\(723\) | 18.0397 | + | 13.1066i | 0.670903 | + | 0.487440i | ||||
\(724\) | 7.68938 | 0.285774 | ||||||||
\(725\) | −46.3745 | + | 7.09992i | −1.72231 | + | 0.263685i | ||||
\(726\) | −27.1903 | −1.00913 | ||||||||
\(727\) | −24.8104 | − | 18.0258i | −0.920168 | − | 0.668542i | 0.0233975 | − | 0.999726i | \(-0.492552\pi\) |
−0.943566 | + | 0.331185i | \(0.892552\pi\) | |||||||
\(728\) | 2.61882 | + | 8.05991i | 0.0970600 | + | 0.298720i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −3.78808 | + | 6.14595i | −0.140203 | + | 0.227472i | ||||
\(731\) | 0.208361 | − | 0.641271i | 0.00770653 | − | 0.0237182i | ||||
\(732\) | −38.1032 | −1.40834 | ||||||||
\(733\) | 10.0357 | − | 30.8866i | 0.370676 | − | 1.14082i | −0.575674 | − | 0.817679i | \(-0.695260\pi\) |
0.946350 | − | 0.323144i | \(-0.104740\pi\) | |||||||
\(734\) | 59.2564 | − | 43.0523i | 2.18720 | − | 1.58909i | ||||
\(735\) | 1.17326 | − | 1.90354i | 0.0432762 | − | 0.0702132i | ||||
\(736\) | −6.53826 | − | 4.75033i | −0.241004 | − | 0.175099i | ||||
\(737\) | −2.00565 | + | 1.45719i | −0.0738790 | + | 0.0536762i | ||||
\(738\) | −21.5022 | + | 15.6222i | −0.791506 | + | 0.575063i | ||||
\(739\) | −3.14004 | − | 2.28137i | −0.115508 | − | 0.0839216i | 0.528531 | − | 0.848914i | \(-0.322743\pi\) |
−0.644040 | + | 0.764992i | \(0.722743\pi\) | |||||||
\(740\) | 7.61277 | + | 100.028i | 0.279851 | + | 3.67710i | ||||
\(741\) | −5.88838 | + | 4.27816i | −0.216315 | + | 0.157162i | ||||
\(742\) | −6.35965 | + | 19.5730i | −0.233470 | + | 0.718547i | ||||
\(743\) | 36.3679 | 1.33421 | 0.667105 | − | 0.744964i | \(-0.267533\pi\) | ||||
0.667105 | + | 0.744964i | \(0.267533\pi\) | |||||||
\(744\) | −3.10153 | + | 9.54552i | −0.113708 | + | 0.349956i | ||||
\(745\) | −11.8530 | − | 13.9508i | −0.434261 | − | 0.511118i | ||||
\(746\) | −11.6381 | − | 35.8185i | −0.426102 | − | 1.31141i | ||||
\(747\) | −1.57735 | − | 4.85459i | −0.0577123 | − | 0.177620i | ||||
\(748\) | −1.78091 | − | 1.29391i | −0.0651165 | − | 0.0473099i | ||||
\(749\) | 13.5746 | 0.496006 | ||||||||
\(750\) | −6.28356 | − | 27.0950i | −0.229443 | − | 0.989370i | ||||
\(751\) | −1.09247 | −0.0398647 | −0.0199324 | − | 0.999801i | \(-0.506345\pi\) | ||||
−0.0199324 | + | 0.999801i | \(0.506345\pi\) | |||||||
\(752\) | −0.846829 | − | 0.615257i | −0.0308807 | − | 0.0224361i | ||||
\(753\) | 7.97632 | + | 24.5486i | 0.290673 | + | 0.894600i | ||||
\(754\) | −11.2254 | − | 34.5484i | −0.408807 | − | 1.25818i | ||||
\(755\) | 3.21395 | + | 3.78277i | 0.116968 | + | 0.137669i | ||||
\(756\) | −1.29447 | + | 3.98396i | −0.0470794 | + | 0.144895i | ||||
\(757\) | −4.89617 | −0.177954 | −0.0889771 | − | 0.996034i | \(-0.528360\pi\) | ||||
−0.0889771 | + | 0.996034i | \(0.528360\pi\) | |||||||
\(758\) | 8.59048 | − | 26.4388i | 0.312020 | − | 0.960300i | ||||
\(759\) | −0.880764 | + | 0.639912i | −0.0319697 | + | 0.0232273i | ||||
\(760\) | −4.32188 | − | 56.7873i | −0.156771 | − | 2.05989i | ||||
\(761\) | 40.2854 | + | 29.2690i | 1.46034 | + | 1.06100i | 0.983273 | + | 0.182137i | \(0.0583014\pi\) |
0.477070 | + | 0.878865i | \(0.341699\pi\) | |||||||
\(762\) | 21.0089 | − | 15.2639i | 0.761073 | − | 0.552952i | ||||
\(763\) | 3.90051 | − | 2.83389i | 0.141208 | − | 0.102594i | ||||
\(764\) | −59.4419 | − | 43.1871i | −2.15053 | − | 1.56245i | ||||
\(765\) | 2.32392 | − | 3.77042i | 0.0840215 | − | 0.136320i | ||||
\(766\) | 35.2422 | − | 25.6049i | 1.27335 | − | 0.925143i | ||||
\(767\) | 1.10479 | − | 3.40020i | 0.0398917 | − | 0.122774i | ||||
\(768\) | −32.5859 | −1.17584 | ||||||||
\(769\) | −6.30997 | + | 19.4201i | −0.227543 | + | 0.700307i | 0.770480 | + | 0.637464i | \(0.220017\pi\) |
−0.998023 | + | 0.0628426i | \(0.979983\pi\) | |||||||
\(770\) | −0.774373 | + | 1.25638i | −0.0279065 | + | 0.0452766i | ||||
\(771\) | 5.84225 | + | 17.9806i | 0.210403 | + | 0.647555i | ||||
\(772\) | −33.2937 | − | 102.467i | −1.19827 | − | 3.68788i | ||||
\(773\) | 2.11944 | + | 1.53987i | 0.0762311 | + | 0.0553851i | 0.625248 | − | 0.780426i | \(-0.284998\pi\) |
−0.549017 | + | 0.835811i | \(0.684998\pi\) | |||||||
\(774\) | 0.846870 | 0.0304401 | ||||||||
\(775\) | −8.18922 | − | 4.22598i | −0.294165 | − | 0.151802i | ||||
\(776\) | −24.2555 | −0.870723 | ||||||||
\(777\) | 8.66441 | + | 6.29506i | 0.310834 | + | 0.225834i | ||||
\(778\) | −26.5793 | − | 81.8026i | −0.952913 | − | 2.93277i | ||||
\(779\) | −15.4406 | − | 47.5213i | −0.553217 | − | 1.70263i | ||||
\(780\) | 13.4816 | − | 5.54357i | 0.482720 | − | 0.198492i | ||||
\(781\) | 0.827256 | − | 2.54603i | 0.0296015 | − | 0.0911042i | ||||
\(782\) | 20.2205 | 0.723084 | ||||||||
\(783\) | 2.89950 | − | 8.92374i | 0.103620 | − | 0.318909i | ||||
\(784\) | −4.18232 | + | 3.03864i | −0.149369 | + | 0.108523i | ||||
\(785\) | −4.14825 | − | 4.88243i | −0.148058 | − | 0.174261i | ||||
\(786\) | −41.2074 | − | 29.9390i | −1.46982 | − | 1.06789i | ||||
\(787\) | 7.40945 | − | 5.38328i | 0.264118 | − | 0.191893i | −0.447842 | − | 0.894113i | \(-0.647807\pi\) |
0.711961 | + | 0.702219i | \(0.247807\pi\) | |||||||
\(788\) | −5.46991 | + | 3.97412i | −0.194858 | + | 0.141572i | ||||
\(789\) | 7.29198 | + | 5.29794i | 0.259602 | + | 0.188612i | ||||
\(790\) | 36.3894 | − | 14.9631i | 1.29468 | − | 0.532364i | ||||
\(791\) | 15.9835 | − | 11.6127i | 0.568306 | − | 0.412899i | ||||
\(792\) | 0.446460 | − | 1.37406i | 0.0158643 | − | 0.0488252i | ||||
\(793\) | 14.1554 | 0.502674 | ||||||||
\(794\) | −15.2831 | + | 47.0365i | −0.542376 | + | 1.66926i | ||||
\(795\) | 17.9757 | + | 4.36467i | 0.637534 | + | 0.154799i | ||||
\(796\) | 22.8843 | + | 70.4306i | 0.811112 | + | 2.49635i | ||||
\(797\) | 1.26653 | + | 3.89797i | 0.0448627 | + | 0.138073i | 0.970979 | − | 0.239165i | \(-0.0768737\pi\) |
−0.926116 | + | 0.377238i | \(0.876874\pi\) | |||||||
\(798\) | −9.41315 | − | 6.83905i | −0.333222 | − | 0.242100i | ||||
\(799\) | 0.401057 | 0.0141884 | ||||||||
\(800\) | −1.59063 | + | 9.71806i | −0.0562373 | + | 0.343585i | ||||
\(801\) | 3.57946 | 0.126474 | ||||||||
\(802\) | −57.1244 | − | 41.5033i | −2.01713 | − | 1.46553i | ||||
\(803\) | −0.106401 | − | 0.327469i | −0.00375482 | − | 0.0115561i | ||||
\(804\) | 12.0960 | + | 37.2276i | 0.426592 | + | 1.31292i | ||||
\(805\) | −0.696316 | − | 9.14924i | −0.0245419 | − | 0.322468i | ||||
\(806\) | 2.20497 | − | 6.78621i | 0.0776669 | − | 0.239034i | ||||
\(807\) | −14.6837 | −0.516890 | ||||||||
\(808\) | −18.0904 | + | 55.6765i | −0.636418 | + | 1.95869i | ||||
\(809\) | −31.7234 | + | 23.0484i | −1.11534 | + | 0.810339i | −0.983496 | − | 0.180932i | \(-0.942089\pi\) |
−0.131840 | + | 0.991271i | \(0.542089\pi\) | |||||||
\(810\) | 5.40575 | + | 1.31256i | 0.189939 | + | 0.0461188i | ||||
\(811\) | −19.4376 | − | 14.1223i | −0.682547 | − | 0.495900i | 0.191654 | − | 0.981462i | \(-0.438615\pi\) |
−0.874202 | + | 0.485563i | \(0.838615\pi\) | |||||||
\(812\) | 31.7986 | − | 23.1030i | 1.11591 | − | 0.810756i | ||||
\(813\) | 12.3299 | − | 8.95819i | 0.432428 | − | 0.314177i | ||||
\(814\) | −5.71869 | − | 4.15487i | −0.200440 | − | 0.145628i | ||||
\(815\) | −22.4213 | − | 5.44408i | −0.785382 | − | 0.190698i | ||||
\(816\) | −8.28410 | + | 6.01875i | −0.290002 | + | 0.210699i | ||||
\(817\) | −0.491991 | + | 1.51419i | −0.0172126 | + | 0.0529749i | ||||
\(818\) | −39.3521 | −1.37592 | ||||||||
\(819\) | 0.480898 | − | 1.48005i | 0.0168039 | − | 0.0517172i | ||||
\(820\) | 7.59409 | + | 99.7826i | 0.265197 | + | 3.48456i | ||||
\(821\) | 5.11447 | + | 15.7407i | 0.178496 | + | 0.549355i | 0.999776 | − | 0.0211709i | \(-0.00673942\pi\) |
−0.821280 | + | 0.570526i | \(0.806739\pi\) | |||||||
\(822\) | 2.91055 | + | 8.95776i | 0.101517 | + | 0.312438i | ||||
\(823\) | 7.02235 | + | 5.10204i | 0.244784 | + | 0.177846i | 0.703412 | − | 0.710782i | \(-0.251659\pi\) |
−0.458628 | + | 0.888628i | \(0.651659\pi\) | |||||||
\(824\) | 64.7325 | 2.25506 | ||||||||
\(825\) | 1.17882 | + | 0.608323i | 0.0410414 | + | 0.0211791i | ||||
\(826\) | 5.71527 | 0.198860 | ||||||||
\(827\) | −2.57150 | − | 1.86831i | −0.0894199 | − | 0.0649673i | 0.542177 | − | 0.840264i | \(-0.317600\pi\) |
−0.631597 | + | 0.775297i | \(0.717600\pi\) | |||||||
\(828\) | 5.31185 | + | 16.3482i | 0.184599 | + | 0.568139i | ||||
\(829\) | −1.11727 | − | 3.43861i | −0.0388044 | − | 0.119428i | 0.929778 | − | 0.368121i | \(-0.119999\pi\) |
−0.968582 | + | 0.248693i | \(0.919999\pi\) | |||||||
\(830\) | −27.5932 | − | 6.69988i | −0.957775 | − | 0.232556i | ||||
\(831\) | −0.986576 | + | 3.03637i | −0.0342239 | + | 0.105330i | ||||
\(832\) | 8.46533 | 0.293483 | ||||||||
\(833\) | 0.612083 | − | 1.88380i | 0.0212074 | − | 0.0652697i | ||||
\(834\) | −14.8381 | + | 10.7805i | −0.513802 | + | 0.373299i | ||||
\(835\) | −45.0370 | + | 18.5189i | −1.55857 | + | 0.640875i | ||||
\(836\) | 4.20515 | + | 3.05522i | 0.145438 | + | 0.105667i | ||||
\(837\) | 1.49107 | − | 1.08333i | 0.0515389 | − | 0.0374452i | ||||
\(838\) | 4.49732 | − | 3.26750i | 0.155358 | − | 0.112874i | ||||
\(839\) | 3.35916 | + | 2.44058i | 0.115971 | + | 0.0842580i | 0.644259 | − | 0.764807i | \(-0.277166\pi\) |
−0.528288 | + | 0.849065i | \(0.677166\pi\) | |||||||
\(840\) | 7.88437 | + | 9.27978i | 0.272037 | + | 0.320183i | ||||
\(841\) | −47.7646 | + | 34.7030i | −1.64705 | + | 1.19666i | ||||
\(842\) | −19.7752 | + | 60.8617i | −0.681497 | + | 2.09743i | ||||
\(843\) | −19.1746 | −0.660407 | ||||||||
\(844\) | 30.0419 | − | 92.4595i | 1.03409 | − | 3.18259i | ||||
\(845\) | 21.8763 | − | 8.99541i | 0.752567 | − | 0.309451i | ||||
\(846\) | 0.155657 | + | 0.479065i | 0.00535161 | + | 0.0164706i | ||||
\(847\) | 3.37744 | + | 10.3947i | 0.116050 | + | 0.357165i | ||||
\(848\) | −34.5986 | − | 25.1374i | −1.18812 | − | 0.863220i | ||||
\(849\) | −9.08698 | −0.311864 | ||||||||
\(850\) | −11.0721 | − | 22.0102i | −0.379768 | − | 0.754942i | ||||
\(851\) | 43.9477 | 1.50651 | ||||||||
\(852\) | −34.1961 | − | 24.8449i | −1.17154 | − | 0.851173i | ||||
\(853\) | −2.60564 | − | 8.01934i | −0.0892155 | − | 0.274577i | 0.896488 | − | 0.443069i | \(-0.146110\pi\) |
−0.985703 | + | 0.168492i | \(0.946110\pi\) | |||||||
\(854\) | 6.99270 | + | 21.5213i | 0.239285 | + | 0.736444i | ||||
\(855\) | −5.48732 | + | 8.90286i | −0.187662 | + | 0.304471i | ||||
\(856\) | −22.8435 | + | 70.3052i | −0.780776 | + | 2.40298i | ||||
\(857\) | −33.7778 | −1.15383 | −0.576914 | − | 0.816805i | \(-0.695743\pi\) | ||||
−0.576914 | + | 0.816805i | \(0.695743\pi\) | |||||||
\(858\) | −0.317403 | + | 0.976864i | −0.0108359 | + | 0.0333496i | ||||
\(859\) | −12.5937 | + | 9.14986i | −0.429692 | + | 0.312189i | −0.781526 | − | 0.623873i | \(-0.785558\pi\) |
0.351834 | + | 0.936062i | \(0.385558\pi\) | |||||||
\(860\) | 1.67305 | − | 2.71443i | 0.0570506 | − | 0.0925612i | ||||
\(861\) | 8.64316 | + | 6.27962i | 0.294558 | + | 0.214009i | ||||
\(862\) | 8.00729 | − | 5.81764i | 0.272729 | − | 0.198149i | ||||
\(863\) | −16.0437 | + | 11.6565i | −0.546135 | + | 0.396790i | −0.826359 | − | 0.563144i | \(-0.809591\pi\) |
0.280223 | + | 0.959935i | \(0.409591\pi\) | |||||||
\(864\) | −1.59334 | − | 1.15763i | −0.0542065 | − | 0.0393833i | ||||
\(865\) | −3.25115 | − | 42.7185i | −0.110542 | − | 1.45247i | ||||
\(866\) | 49.9629 | − | 36.3001i | 1.69781 | − | 1.23353i | ||||
\(867\) | −4.04091 | + | 12.4366i | −0.137237 | + | 0.422371i | ||||
\(868\) | 7.72057 | 0.262053 | ||||||||
\(869\) | −0.579872 | + | 1.78466i | −0.0196708 | + | 0.0605406i | ||||
\(870\) | −33.7959 | − | 39.7773i | −1.14579 | − | 1.34858i | ||||
\(871\) | −4.49369 | − | 13.8301i | −0.152263 | − | 0.468616i | ||||
\(872\) | 8.11333 | + | 24.9703i | 0.274752 | + | 0.845600i | ||||
\(873\) | 3.60343 | + | 2.61804i | 0.121957 | + | 0.0886073i | ||||
\(874\) | −47.7454 | −1.61501 | ||||||||
\(875\) | −9.57773 | + | 5.76776i | −0.323786 | + | 0.194986i | ||||
\(876\) | −5.43658 | −0.183685 | ||||||||
\(877\) | 16.9374 | + | 12.3057i | 0.571934 | + | 0.415535i | 0.835807 | − | 0.549023i | \(-0.185000\pi\) |
−0.263873 | + | 0.964557i | \(0.585000\pi\) | |||||||
\(878\) | 23.7801 | + | 73.1877i | 0.802540 | + | 2.46996i | ||||
\(879\) | −6.35285 | − | 19.5520i | −0.214276 | − | 0.659474i | ||||
\(880\) | −1.98574 | − | 2.33718i | −0.0669392 | − | 0.0787864i | ||||
\(881\) | −1.60711 | + | 4.94618i | −0.0541450 | + | 0.166641i | −0.974472 | − | 0.224508i | \(-0.927922\pi\) |
0.920327 | + | 0.391149i | \(0.127922\pi\) | |||||||
\(882\) | 2.48777 | 0.0837675 | ||||||||
\(883\) | 2.98080 | − | 9.17395i | 0.100312 | − | 0.308728i | −0.888290 | − | 0.459283i | \(-0.848106\pi\) |
0.988602 | + | 0.150555i | \(0.0481062\pi\) | |||||||
\(884\) | 10.4464 | − | 7.58973i | 0.351349 | − | 0.255270i | ||||
\(885\) | −0.389834 | − | 5.12222i | −0.0131041 | − | 0.172181i | ||||
\(886\) | 66.9257 | + | 48.6244i | 2.24841 | + | 1.63357i | ||||
\(887\) | −10.5831 | + | 7.68906i | −0.355345 | + | 0.258173i | −0.751108 | − | 0.660179i | \(-0.770480\pi\) |
0.395763 | + | 0.918353i | \(0.370480\pi\) | |||||||
\(888\) | −47.1837 | + | 34.2810i | −1.58338 | + | 1.15039i | ||||
\(889\) | −8.44490 | − | 6.13558i | −0.283233 | − | 0.205781i | ||||
\(890\) | 10.4477 | − | 16.9508i | 0.350207 | − | 0.568191i | ||||
\(891\) | −0.214637 | + | 0.155943i | −0.00719062 | + | 0.00522429i | ||||
\(892\) | −19.2920 | + | 59.3746i | −0.645944 | + | 1.98801i | ||||
\(893\) | −0.946990 | −0.0316898 | ||||||||
\(894\) | 6.29371 | − | 19.3700i | 0.210493 | − | 0.647831i | ||||
\(895\) | −7.68314 | + | 12.4654i | −0.256819 | + | 0.416674i | ||||
\(896\) | 5.39902 | + | 16.6165i | 0.180369 | + | 0.555118i | ||||
\(897\) | −1.97336 | − | 6.07339i | −0.0658887 | − | 0.202785i | ||||
\(898\) | −25.2411 | − | 18.3387i | −0.842307 | − | 0.611972i | ||||
\(899\) | −17.2934 | −0.576768 | ||||||||
\(900\) | 14.8865 | − | 14.7337i | 0.496217 | − | 0.491123i | ||||
\(901\) | 16.3858 | 0.545891 | ||||||||
\(902\) | −5.70466 | − | 4.14468i | −0.189944 | − | 0.138003i | ||||
\(903\) | −0.105194 | − | 0.323753i | −0.00350063 | − | 0.0107738i | ||||
\(904\) | 33.2467 | + | 102.323i | 1.10577 | + | 3.40320i | ||||
\(905\) | −3.79616 | + | 1.56096i | −0.126189 | + | 0.0518881i | ||||
\(906\) | −1.70654 | + | 5.25219i | −0.0566960 | + | 0.174492i | ||||
\(907\) | 34.5045 | 1.14570 | 0.572851 | − | 0.819660i | \(-0.305837\pi\) | ||||
0.572851 | + | 0.819660i | \(0.305837\pi\) | |||||||
\(908\) | 33.5190 | − | 103.161i | 1.11237 | − | 3.42351i | ||||
\(909\) | 8.69702 | − | 6.31876i | 0.288462 | − | 0.209580i | ||||
\(910\) | −5.60525 | − | 6.59729i | −0.185812 | − | 0.218698i | ||||
\(911\) | 19.2708 | + | 14.0011i | 0.638470 | + | 0.463876i | 0.859324 | − | 0.511431i | \(-0.170884\pi\) |
−0.220854 | + | 0.975307i | \(0.570884\pi\) | |||||||
\(912\) | 19.5607 | − | 14.2117i | 0.647721 | − | 0.470597i | ||||
\(913\) | 1.09560 | − | 0.795999i | 0.0362590 | − | 0.0263437i | ||||
\(914\) | 40.3763 | + | 29.3351i | 1.33553 | + | 0.970319i | ||||
\(915\) | 18.8111 | − | 7.73504i | 0.621877 | − | 0.255712i | ||||
\(916\) | 60.9029 | − | 44.2486i | 2.01229 | − | 1.46201i | ||||
\(917\) | −6.32689 | + | 19.4722i | −0.208932 | + | 0.643028i | ||||
\(918\) | 4.92762 | 0.162636 | ||||||||
\(919\) | −7.53537 | + | 23.1915i | −0.248569 | + | 0.765016i | 0.746460 | + | 0.665430i | \(0.231752\pi\) |
−0.995029 | + | 0.0995861i | \(0.968248\pi\) | |||||||
\(920\) | 48.5572 | + | 11.7901i | 1.60088 | + | 0.388708i | ||||
\(921\) | −7.95316 | − | 24.4773i | −0.262066 | − | 0.806555i | ||||
\(922\) | −13.1525 | − | 40.4792i | −0.433154 | − | 1.33311i | ||||
\(923\) | 12.7039 | + | 9.22996i | 0.418155 | + | 0.303808i | ||||
\(924\) | −1.11136 | −0.0365612 | ||||||||
\(925\) | −24.0642 | − | 47.8373i | −0.791227 | − | 1.57288i | ||||
\(926\) | 84.6192 | 2.78076 | ||||||||
\(927\) | −9.61673 | − | 6.98696i | −0.315855 | − | 0.229482i | ||||
\(928\) | 5.71049 | + | 17.5751i | 0.187456 | + | 0.576930i | ||||
\(929\) | 6.83586 | + | 21.0386i | 0.224277 | + | 0.690255i | 0.998364 | + | 0.0571752i | \(0.0182094\pi\) |
−0.774087 | + | 0.633079i | \(0.781791\pi\) | |||||||
\(930\) | −0.778041 | − | 10.2231i | −0.0255130 | − | 0.335228i | ||||
\(931\) | −1.44527 | + | 4.44809i | −0.0473669 | + | 0.145780i | ||||
\(932\) | −95.4519 | −3.12663 | ||||||||
\(933\) | −3.13611 | + | 9.65196i | −0.102672 | + | 0.315991i | ||||
\(934\) | −78.9564 | + | 57.3652i | −2.58353 | + | 1.87705i | ||||
\(935\) | 1.14188 | + | 0.277259i | 0.0373435 | + | 0.00906735i | ||||
\(936\) | 6.85617 | + | 4.98130i | 0.224101 | + | 0.162819i | ||||
\(937\) | 33.3514 | − | 24.2312i | 1.08954 | − | 0.791599i | 0.110221 | − | 0.993907i | \(-0.464844\pi\) |
0.979322 | + | 0.202308i | \(0.0648441\pi\) | |||||||
\(938\) | 18.8069 | − | 13.6640i | 0.614067 | − | 0.446146i | ||||
\(939\) | −2.85865 | − | 2.07693i | −0.0932884 | − | 0.0677780i | ||||
\(940\) | 1.84303 | + | 0.447505i | 0.0601131 | + | 0.0145960i | ||||
\(941\) | −25.8493 | + | 18.7806i | −0.842662 | + | 0.612230i | −0.923113 | − | 0.384529i | \(-0.874364\pi\) |
0.0804507 | + | 0.996759i | \(0.474364\pi\) | |||||||
\(942\) | 2.20264 | − | 6.77903i | 0.0717659 | − | 0.220873i | ||||
\(943\) | 43.8398 | 1.42762 | ||||||||
\(944\) | −3.67003 | + | 11.2952i | −0.119449 | + | 0.367627i | ||||
\(945\) | −0.169688 | − | 2.22962i | −0.00551996 | − | 0.0725295i | ||||
\(946\) | 0.0694299 | + | 0.213683i | 0.00225736 | + | 0.00694744i | ||||
\(947\) | 4.61287 | + | 14.1970i | 0.149898 | + | 0.461339i | 0.997608 | − | 0.0691206i | \(-0.0220193\pi\) |
−0.847710 | + | 0.530460i | \(0.822019\pi\) | |||||||
\(948\) | 23.9701 | + | 17.4153i | 0.778512 | + | 0.565622i | ||||
\(949\) | 2.01970 | 0.0655623 | ||||||||
\(950\) | 26.1437 | + | 51.9712i | 0.848215 | + | 1.68617i | ||||
\(951\) | 3.43700 | 0.111452 | ||||||||
\(952\) | 8.72647 | + | 6.34015i | 0.282826 | + | 0.205485i | ||||
\(953\) | −14.6440 | − | 45.0697i | −0.474367 | − | 1.45995i | −0.846810 | − | 0.531896i | \(-0.821480\pi\) |
0.372443 | − | 0.928055i | \(-0.378520\pi\) | |||||||
\(954\) | 6.35965 | + | 19.5730i | 0.205901 | + | 0.633699i | ||||
\(955\) | 38.1129 | + | 9.25415i | 1.23330 | + | 0.299457i | ||||
\(956\) | 20.6622 | − | 63.5917i | 0.668263 | − | 2.05670i | ||||
\(957\) | 2.48936 | 0.0804697 | ||||||||
\(958\) | 3.03811 | − | 9.35035i | 0.0981569 | − | 0.302096i | ||||
\(959\) | 3.06296 | − | 2.22537i | 0.0989080 | − | 0.0718609i | ||||
\(960\) | 11.2496 | − | 4.62576i | 0.363078 | − | 0.149296i | ||||
\(961\) | 22.3314 | + | 16.2247i | 0.720367 | + | 0.523378i | ||||
\(962\) | 33.5444 | − | 24.3714i | 1.08151 | − | 0.785766i | ||||
\(963\) | 10.9821 | − | 7.97897i | 0.353893 | − | 0.257119i | ||||
\(964\) | 75.5680 | + | 54.9034i | 2.43388 | + | 1.76832i | ||||
\(965\) | 37.2379 | + | 43.8284i | 1.19873 | + | 1.41089i | ||||
\(966\) | 8.25889 | − | 6.00043i | 0.265725 | − | 0.193061i | ||||
\(967\) | −4.91565 | + | 15.1288i | −0.158077 | + | 0.486510i | −0.998460 | − | 0.0554831i | \(-0.982330\pi\) |
0.840383 | + | 0.541993i | \(0.182330\pi\) | |||||||
\(968\) | −59.5193 | −1.91302 | ||||||||
\(969\) | −2.86271 | + | 8.81052i | −0.0919635 | + | 0.283035i | ||||
\(970\) | 22.9156 | − | 9.42275i | 0.735774 | − | 0.302546i | ||||
\(971\) | 2.19776 | + | 6.76400i | 0.0705293 | + | 0.217067i | 0.980108 | − | 0.198465i | \(-0.0635955\pi\) |
−0.909579 | + | 0.415532i | \(0.863596\pi\) | |||||||
\(972\) | 1.29447 | + | 3.98396i | 0.0415201 | + | 0.127786i | ||||
\(973\) | 5.96443 | + | 4.33341i | 0.191211 | + | 0.138923i | ||||
\(974\) | 95.5046 | 3.06016 | ||||||||
\(975\) | −5.53038 | + | 5.47360i | −0.177114 | + | 0.175296i | ||||
\(976\) | −47.0232 | −1.50518 | ||||||||
\(977\) | 14.6169 | + | 10.6198i | 0.467636 | + | 0.339757i | 0.796519 | − | 0.604613i | \(-0.206672\pi\) |
−0.328883 | + | 0.944371i | \(0.606672\pi\) | |||||||
\(978\) | −7.93242 | − | 24.4135i | −0.253651 | − | 0.780657i | ||||
\(979\) | 0.293459 | + | 0.903173i | 0.00937898 | + | 0.0288655i | ||||
\(980\) | 4.91476 | − | 7.97391i | 0.156996 | − | 0.254717i | ||||
\(981\) | 1.48986 | − | 4.58533i | 0.0475677 | − | 0.146398i | ||||
\(982\) | 61.1174 | 1.95033 | ||||||||
\(983\) | −5.84860 | + | 18.0002i | −0.186542 | + | 0.574116i | −0.999972 | − | 0.00754707i | \(-0.997598\pi\) |
0.813430 | + | 0.581663i | \(0.197598\pi\) | |||||||
\(984\) | −47.0680 | + | 34.1969i | −1.50047 | + | 1.09016i | ||||
\(985\) | 1.89368 | − | 3.07239i | 0.0603377 | − | 0.0978944i | ||||
\(986\) | −37.4055 | − | 27.1767i | −1.19124 | − | 0.865483i | ||||
\(987\) | 0.163808 | − | 0.119014i | 0.00521407 | − | 0.00378824i | ||||
\(988\) | −24.6663 | + | 17.9211i | −0.784741 | + | 0.570148i | ||||
\(989\) | −1.13011 | − | 0.821070i | −0.0359353 | − | 0.0261085i | ||||
\(990\) | 0.111998 | + | 1.47159i | 0.00355952 | + | 0.0467703i | ||||
\(991\) | 27.4032 | − | 19.9096i | 0.870490 | − | 0.632448i | −0.0602281 | − | 0.998185i | \(-0.519183\pi\) |
0.930719 | + | 0.365736i | \(0.119183\pi\) | |||||||
\(992\) | −1.12169 | + | 3.45221i | −0.0356137 | + | 0.109608i | ||||
\(993\) | 4.27530 | 0.135672 | ||||||||
\(994\) | −7.75715 | + | 23.8741i | −0.246042 | + | 0.757239i | ||||
\(995\) | −25.5953 | − | 30.1253i | −0.811425 | − | 0.955035i | ||||
\(996\) | −6.60751 | − | 20.3358i | −0.209367 | − | 0.644365i | ||||
\(997\) | −2.52741 | − | 7.77856i | −0.0800438 | − | 0.246350i | 0.903024 | − | 0.429589i | \(-0.141342\pi\) |
−0.983068 | + | 0.183240i | \(0.941342\pi\) | |||||||
\(998\) | 41.0920 | + | 29.8551i | 1.30075 | + | 0.945047i | ||||
\(999\) | 10.7098 | 0.338843 |
(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 | 525.2.n.d.316.1 | yes | 32 | |
25.11 | even | 5 | inner | 525.2.n.d.211.1 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.n.d.211.1 | ✓ | 32 | 25.11 | even | 5 | inner | |
525.2.n.d.316.1 | yes | 32 | 1.1 | even | 1 | trivial |