Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(41,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bb (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 41.4 | ||
Character | \(\chi\) | \(=\) | 570.41 |
Dual form | 570.2.bb.b.431.4 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | − | 0.642788i | −0.541675 | − | 0.454519i | ||||
\(3\) | −1.07847 | + | 1.35533i | −0.622652 | + | 0.782499i | ||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | −0.984808 | − | 0.173648i | −0.440419 | − | 0.0776578i | ||||
\(6\) | 1.69734 | − | 0.345017i | 0.692936 | − | 0.140853i | ||||
\(7\) | −0.267952 | − | 0.464106i | −0.101276 | − | 0.175416i | 0.810934 | − | 0.585137i | \(-0.198959\pi\) |
−0.912211 | + | 0.409721i | \(0.865626\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −0.673825 | − | 2.92335i | −0.224608 | − | 0.974449i | ||||
\(10\) | 0.642788 | + | 0.766044i | 0.203267 | + | 0.242245i | ||||
\(11\) | −0.233354 | − | 0.134727i | −0.0703589 | − | 0.0406217i | 0.464408 | − | 0.885621i | \(-0.346267\pi\) |
−0.534767 | + | 0.845000i | \(0.679601\pi\) | |||||||
\(12\) | −1.52201 | − | 0.826731i | −0.439367 | − | 0.238657i | ||||
\(13\) | −0.650596 | + | 1.78750i | −0.180443 | + | 0.495763i | −0.996630 | − | 0.0820244i | \(-0.973861\pi\) |
0.816187 | + | 0.577787i | \(0.196084\pi\) | |||||||
\(14\) | −0.0930587 | + | 0.527762i | −0.0248710 | + | 0.141050i | ||||
\(15\) | 1.29743 | − | 1.14746i | 0.334995 | − | 0.296274i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 0.328167 | − | 0.391094i | 0.0795921 | − | 0.0948542i | −0.724779 | − | 0.688982i | \(-0.758058\pi\) |
0.804371 | + | 0.594127i | \(0.202503\pi\) | |||||||
\(18\) | −1.36291 | + | 2.67254i | −0.321241 | + | 0.629924i | ||||
\(19\) | −0.783767 | − | 4.28786i | −0.179809 | − | 0.983702i | ||||
\(20\) | − | 1.00000i | − | 0.223607i | ||||||
\(21\) | 0.917993 | + | 0.137360i | 0.200322 | + | 0.0299744i | ||||
\(22\) | 0.0921587 | + | 0.253204i | 0.0196483 | + | 0.0539832i | ||||
\(23\) | −0.229565 | + | 0.0404785i | −0.0478676 | + | 0.00844035i | −0.197531 | − | 0.980297i | \(-0.563292\pi\) |
0.149663 | + | 0.988737i | \(0.452181\pi\) | |||||||
\(24\) | 0.634515 | + | 1.61164i | 0.129520 | + | 0.328975i | ||||
\(25\) | 0.939693 | + | 0.342020i | 0.187939 | + | 0.0684040i | ||||
\(26\) | 1.64737 | − | 0.951108i | 0.323075 | − | 0.186528i | ||||
\(27\) | 4.68879 | + | 2.23948i | 0.902358 | + | 0.430987i | ||||
\(28\) | 0.410526 | − | 0.344472i | 0.0775821 | − | 0.0650991i | ||||
\(29\) | 4.10900 | − | 3.44786i | 0.763023 | − | 0.640252i | −0.175889 | − | 0.984410i | \(-0.556280\pi\) |
0.938912 | + | 0.344158i | \(0.111836\pi\) | |||||||
\(30\) | −1.73147 | + | 0.0450352i | −0.316121 | + | 0.00822227i | ||||
\(31\) | 6.10497 | − | 3.52471i | 1.09649 | − | 0.633056i | 0.161190 | − | 0.986923i | \(-0.448467\pi\) |
0.935296 | + | 0.353867i | \(0.115134\pi\) | |||||||
\(32\) | 0.939693 | + | 0.342020i | 0.166116 | + | 0.0604612i | ||||
\(33\) | 0.434263 | − | 0.170973i | 0.0755955 | − | 0.0297625i | ||||
\(34\) | −0.502781 | + | 0.0886538i | −0.0862262 | + | 0.0152040i | ||||
\(35\) | 0.183290 | + | 0.503585i | 0.0309816 | + | 0.0851213i | ||||
\(36\) | 2.76193 | − | 1.17122i | 0.460321 | − | 0.195204i | ||||
\(37\) | − | 9.16197i | − | 1.50622i | −0.657896 | − | 0.753109i | \(-0.728553\pi\) | ||
0.657896 | − | 0.753109i | \(-0.271447\pi\) | |||||||
\(38\) | −2.15578 | + | 3.78848i | −0.349714 | + | 0.614573i | ||||
\(39\) | −1.72100 | − | 2.80953i | −0.275581 | − | 0.449884i | ||||
\(40\) | −0.642788 | + | 0.766044i | −0.101634 | + | 0.121122i | ||||
\(41\) | 10.9164 | − | 3.97326i | 1.70486 | − | 0.620519i | 0.708498 | − | 0.705713i | \(-0.249373\pi\) |
0.996364 | + | 0.0851933i | \(0.0271508\pi\) | |||||||
\(42\) | −0.614930 | − | 0.695298i | −0.0948857 | − | 0.107287i | ||||
\(43\) | −1.13925 | + | 6.46098i | −0.173733 | + | 0.985291i | 0.765862 | + | 0.643005i | \(0.222312\pi\) |
−0.939596 | + | 0.342286i | \(0.888799\pi\) | |||||||
\(44\) | 0.0921587 | − | 0.253204i | 0.0138934 | − | 0.0381719i | ||||
\(45\) | 0.155954 | + | 2.99594i | 0.0232482 | + | 0.446609i | ||||
\(46\) | 0.201876 | + | 0.116553i | 0.0297650 | + | 0.0171848i | ||||
\(47\) | 5.83426 | + | 6.95300i | 0.851014 | + | 1.01420i | 0.999680 | + | 0.0253119i | \(0.00805789\pi\) |
−0.148665 | + | 0.988888i | \(0.547498\pi\) | |||||||
\(48\) | 0.549877 | − | 1.64245i | 0.0793679 | − | 0.237067i | ||||
\(49\) | 3.35640 | − | 5.81346i | 0.479486 | − | 0.830495i | ||||
\(50\) | −0.500000 | − | 0.866025i | −0.0707107 | − | 0.122474i | ||||
\(51\) | 0.176144 | + | 0.866555i | 0.0246651 | + | 0.121342i | ||||
\(52\) | −1.87332 | − | 0.330316i | −0.259782 | − | 0.0458066i | ||||
\(53\) | −0.990668 | − | 5.61836i | −0.136079 | − | 0.771741i | −0.974102 | − | 0.226107i | \(-0.927400\pi\) |
0.838024 | − | 0.545634i | \(-0.183711\pi\) | |||||||
\(54\) | −2.15231 | − | 4.72943i | −0.292893 | − | 0.643594i | ||||
\(55\) | 0.206414 | + | 0.173202i | 0.0278328 | + | 0.0233545i | ||||
\(56\) | −0.535904 | −0.0716131 | ||||||||
\(57\) | 6.65671 | + | 3.56204i | 0.881703 | + | 0.471804i | ||||
\(58\) | −5.36392 | −0.704317 | ||||||||
\(59\) | −4.93759 | − | 4.14313i | −0.642820 | − | 0.539390i | 0.262063 | − | 0.965051i | \(-0.415597\pi\) |
−0.904883 | + | 0.425661i | \(0.860042\pi\) | |||||||
\(60\) | 1.35533 | + | 1.07847i | 0.174972 | + | 0.139229i | ||||
\(61\) | −1.85625 | − | 10.5273i | −0.237669 | − | 1.34789i | −0.836920 | − | 0.547325i | \(-0.815646\pi\) |
0.599252 | − | 0.800561i | \(-0.295465\pi\) | |||||||
\(62\) | −6.94232 | − | 1.22412i | −0.881675 | − | 0.155463i | ||||
\(63\) | −1.17619 | + | 1.09604i | −0.148186 | + | 0.138088i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0.951108 | − | 1.64737i | 0.117970 | − | 0.204331i | ||||
\(66\) | −0.442564 | − | 0.148166i | −0.0544759 | − | 0.0182380i | ||||
\(67\) | −3.68533 | − | 4.39200i | −0.450235 | − | 0.536569i | 0.492412 | − | 0.870363i | \(-0.336116\pi\) |
−0.942646 | + | 0.333794i | \(0.891671\pi\) | |||||||
\(68\) | 0.442138 | + | 0.255268i | 0.0536171 | + | 0.0309558i | ||||
\(69\) | 0.192716 | − | 0.354790i | 0.0232003 | − | 0.0427117i | ||||
\(70\) | 0.183290 | − | 0.503585i | 0.0219073 | − | 0.0601899i | ||||
\(71\) | −1.11428 | + | 6.31942i | −0.132241 | + | 0.749978i | 0.844500 | + | 0.535556i | \(0.179898\pi\) |
−0.976741 | + | 0.214422i | \(0.931213\pi\) | |||||||
\(72\) | −2.86861 | − | 0.878124i | −0.338068 | − | 0.103488i | ||||
\(73\) | −5.29912 | + | 1.92872i | −0.620215 | + | 0.225740i | −0.632967 | − | 0.774179i | \(-0.718163\pi\) |
0.0127519 | + | 0.999919i | \(0.495941\pi\) | |||||||
\(74\) | −5.88920 | + | 7.01847i | −0.684605 | + | 0.815881i | ||||
\(75\) | −1.47698 | + | 0.904734i | −0.170546 | + | 0.104470i | ||||
\(76\) | 4.08661 | − | 1.51644i | 0.468767 | − | 0.173947i | ||||
\(77\) | 0.144401i | 0.0164561i | ||||||||
\(78\) | −0.487566 | + | 3.25846i | −0.0552060 | + | 0.368948i | ||||
\(79\) | 2.34946 | + | 6.45509i | 0.264335 | + | 0.726254i | 0.998863 | + | 0.0476758i | \(0.0151814\pi\) |
−0.734528 | + | 0.678578i | \(0.762596\pi\) | |||||||
\(80\) | 0.984808 | − | 0.173648i | 0.110105 | − | 0.0194145i | ||||
\(81\) | −8.09192 | + | 3.93965i | −0.899102 | + | 0.437739i | ||||
\(82\) | −10.9164 | − | 3.97326i | −1.20552 | − | 0.438773i | ||||
\(83\) | 2.54105 | − | 1.46708i | 0.278917 | − | 0.161033i | −0.354016 | − | 0.935239i | \(-0.615184\pi\) |
0.632933 | + | 0.774207i | \(0.281851\pi\) | |||||||
\(84\) | 0.0241345 | + | 0.927898i | 0.00263329 | + | 0.101242i | ||||
\(85\) | −0.391094 | + | 0.328167i | −0.0424201 | + | 0.0355947i | ||||
\(86\) | 5.02575 | − | 4.21711i | 0.541941 | − | 0.454742i | ||||
\(87\) | 0.241565 | + | 9.28744i | 0.0258985 | + | 0.995719i | ||||
\(88\) | −0.233354 | + | 0.134727i | −0.0248756 | + | 0.0143619i | ||||
\(89\) | −0.978707 | − | 0.356220i | −0.103743 | − | 0.0377593i | 0.289627 | − | 0.957140i | \(-0.406469\pi\) |
−0.393370 | + | 0.919380i | \(0.628691\pi\) | |||||||
\(90\) | 1.80629 | − | 2.39527i | 0.190399 | − | 0.252484i | ||||
\(91\) | 1.00392 | − | 0.177018i | 0.105239 | − | 0.0185565i | ||||
\(92\) | −0.0797270 | − | 0.219048i | −0.00831212 | − | 0.0228374i | ||||
\(93\) | −1.80687 | + | 12.0755i | −0.187364 | + | 1.25217i | ||||
\(94\) | − | 9.07650i | − | 0.936169i | ||||||
\(95\) | 0.0272815 | + | 4.35881i | 0.00279903 | + | 0.447205i | ||||
\(96\) | −1.47698 | + | 0.904734i | −0.150743 | + | 0.0923391i | ||||
\(97\) | 1.37835 | − | 1.64266i | 0.139951 | − | 0.166787i | −0.691516 | − | 0.722361i | \(-0.743057\pi\) |
0.831467 | + | 0.555574i | \(0.187502\pi\) | |||||||
\(98\) | −6.30798 | + | 2.29592i | −0.637202 | + | 0.231922i | ||||
\(99\) | −0.236614 | + | 0.772957i | −0.0237806 | + | 0.0776851i | ||||
\(100\) | −0.173648 | + | 0.984808i | −0.0173648 | + | 0.0984808i | ||||
\(101\) | −0.615693 | + | 1.69160i | −0.0612637 | + | 0.168321i | −0.966548 | − | 0.256485i | \(-0.917435\pi\) |
0.905284 | + | 0.424806i | \(0.139658\pi\) | |||||||
\(102\) | 0.422077 | − | 0.777043i | 0.0417918 | − | 0.0769387i | ||||
\(103\) | 0.441213 | + | 0.254735i | 0.0434740 | + | 0.0250997i | 0.521579 | − | 0.853203i | \(-0.325343\pi\) |
−0.478105 | + | 0.878302i | \(0.658676\pi\) | |||||||
\(104\) | 1.22272 | + | 1.45718i | 0.119898 | + | 0.142888i | ||||
\(105\) | −0.880194 | − | 0.294681i | −0.0858981 | − | 0.0287579i | ||||
\(106\) | −2.85251 | + | 4.94070i | −0.277061 | + | 0.479883i | ||||
\(107\) | −3.00447 | − | 5.20390i | −0.290453 | − | 0.503080i | 0.683464 | − | 0.729985i | \(-0.260473\pi\) |
−0.973917 | + | 0.226905i | \(0.927139\pi\) | |||||||
\(108\) | −1.39125 | + | 5.00644i | −0.133873 | + | 0.481745i | ||||
\(109\) | −8.15550 | − | 1.43803i | −0.781155 | − | 0.137739i | −0.231170 | − | 0.972913i | \(-0.574255\pi\) |
−0.549985 | + | 0.835175i | \(0.685366\pi\) | |||||||
\(110\) | −0.0467902 | − | 0.265360i | −0.00446127 | − | 0.0253011i | ||||
\(111\) | 12.4175 | + | 9.88086i | 1.17861 | + | 0.937850i | ||||
\(112\) | 0.410526 | + | 0.344472i | 0.0387911 | + | 0.0325496i | ||||
\(113\) | −3.25482 | −0.306187 | −0.153094 | − | 0.988212i | \(-0.548924\pi\) | ||||
−0.153094 | + | 0.988212i | \(0.548924\pi\) | |||||||
\(114\) | −2.80970 | − | 7.00754i | −0.263153 | − | 0.656316i | ||||
\(115\) | 0.233106 | 0.0217373 | ||||||||
\(116\) | 4.10900 | + | 3.44786i | 0.381511 | + | 0.320126i | ||||
\(117\) | 5.66387 | + | 0.697458i | 0.523625 | + | 0.0644800i | ||||
\(118\) | 1.11926 | + | 6.34765i | 0.103036 | + | 0.584348i | ||||
\(119\) | −0.269442 | − | 0.0475099i | −0.0246997 | − | 0.00435522i | ||||
\(120\) | −0.345017 | − | 1.69734i | −0.0314956 | − | 0.154945i | ||||
\(121\) | −5.46370 | − | 9.46340i | −0.496700 | − | 0.860309i | ||||
\(122\) | −5.34486 | + | 9.25757i | −0.483901 | + | 0.838141i | ||||
\(123\) | −6.38794 | + | 19.0804i | −0.575981 | + | 1.72042i | ||||
\(124\) | 4.53128 | + | 5.40016i | 0.406921 | + | 0.484949i | ||||
\(125\) | −0.866025 | − | 0.500000i | −0.0774597 | − | 0.0447214i | ||||
\(126\) | 1.60554 | − | 0.0835762i | 0.143033 | − | 0.00744556i | ||||
\(127\) | 1.72312 | − | 4.73423i | 0.152902 | − | 0.420095i | −0.839465 | − | 0.543414i | \(-0.817132\pi\) |
0.992367 | + | 0.123319i | \(0.0393537\pi\) | |||||||
\(128\) | −0.173648 | + | 0.984808i | −0.0153485 | + | 0.0870455i | ||||
\(129\) | −7.52811 | − | 8.51200i | −0.662813 | − | 0.749440i | ||||
\(130\) | −1.78750 | + | 0.650596i | −0.156774 | + | 0.0570611i | ||||
\(131\) | −1.36599 | + | 1.62793i | −0.119347 | + | 0.142233i | −0.822410 | − | 0.568895i | \(-0.807371\pi\) |
0.703063 | + | 0.711128i | \(0.251815\pi\) | |||||||
\(132\) | 0.243784 | + | 0.397977i | 0.0212187 | + | 0.0346394i | ||||
\(133\) | −1.78001 | + | 1.51269i | −0.154346 | + | 0.131167i | ||||
\(134\) | 5.73335i | 0.495286i | ||||||||
\(135\) | −4.22868 | − | 3.01965i | −0.363946 | − | 0.259890i | ||||
\(136\) | −0.174614 | − | 0.479748i | −0.0149730 | − | 0.0411380i | ||||
\(137\) | 3.53497 | − | 0.623310i | 0.302012 | − | 0.0532529i | −0.0205884 | − | 0.999788i | \(-0.506554\pi\) |
0.322601 | + | 0.946535i | \(0.395443\pi\) | |||||||
\(138\) | −0.375684 | + | 0.147909i | −0.0319803 | + | 0.0125909i | ||||
\(139\) | 13.0375 | + | 4.74526i | 1.10582 | + | 0.402487i | 0.829460 | − | 0.558566i | \(-0.188648\pi\) |
0.276365 | + | 0.961053i | \(0.410870\pi\) | |||||||
\(140\) | −0.464106 | + | 0.267952i | −0.0392241 | + | 0.0226461i | ||||
\(141\) | −15.7156 | + | 0.408762i | −1.32350 | + | 0.0344240i | ||||
\(142\) | 4.91564 | − | 4.12471i | 0.412511 | − | 0.346138i | ||||
\(143\) | 0.392643 | − | 0.329467i | 0.0328345 | − | 0.0275514i | ||||
\(144\) | 1.63303 | + | 2.51659i | 0.136086 | + | 0.209716i | ||||
\(145\) | −4.64529 | + | 2.68196i | −0.385771 | + | 0.222725i | ||||
\(146\) | 5.29912 | + | 1.92872i | 0.438558 | + | 0.159622i | ||||
\(147\) | 4.25938 | + | 10.8186i | 0.351308 | + | 0.892307i | ||||
\(148\) | 9.02277 | − | 1.59096i | 0.741667 | − | 0.130776i | ||||
\(149\) | 6.14443 | + | 16.8817i | 0.503371 | + | 1.38300i | 0.887963 | + | 0.459915i | \(0.152120\pi\) |
−0.384592 | + | 0.923087i | \(0.625658\pi\) | |||||||
\(150\) | 1.71298 | + | 0.256315i | 0.139864 | + | 0.0209280i | ||||
\(151\) | − | 3.70446i | − | 0.301465i | −0.988575 | − | 0.150732i | \(-0.951837\pi\) | ||
0.988575 | − | 0.150732i | \(-0.0481632\pi\) | |||||||
\(152\) | −4.10528 | − | 1.46517i | −0.332982 | − | 0.118841i | ||||
\(153\) | −1.36443 | − | 0.695817i | −0.110308 | − | 0.0562535i | ||||
\(154\) | 0.0928194 | − | 0.110618i | 0.00747960 | − | 0.00891384i | ||||
\(155\) | −6.62428 | + | 2.41104i | −0.532075 | + | 0.193660i | ||||
\(156\) | 2.46799 | − | 2.18272i | 0.197598 | − | 0.174758i | ||||
\(157\) | −0.110660 | + | 0.627584i | −0.00883162 | + | 0.0500866i | −0.988905 | − | 0.148549i | \(-0.952540\pi\) |
0.980073 | + | 0.198635i | \(0.0636509\pi\) | |||||||
\(158\) | 2.34946 | − | 6.45509i | 0.186913 | − | 0.513539i | ||||
\(159\) | 8.68311 | + | 4.71652i | 0.688616 | + | 0.374045i | ||||
\(160\) | −0.866025 | − | 0.500000i | −0.0684653 | − | 0.0395285i | ||||
\(161\) | 0.0802986 | + | 0.0956962i | 0.00632842 | + | 0.00754192i | ||||
\(162\) | 8.73113 | + | 2.18344i | 0.685982 | + | 0.171547i | ||||
\(163\) | −5.80819 | + | 10.0601i | −0.454932 | + | 0.787966i | −0.998684 | − | 0.0512800i | \(-0.983670\pi\) |
0.543752 | + | 0.839246i | \(0.317003\pi\) | |||||||
\(164\) | 5.80852 | + | 10.0607i | 0.453569 | + | 0.785605i | ||||
\(165\) | −0.457355 | + | 0.0929661i | −0.0356050 | + | 0.00723740i | ||||
\(166\) | −2.88958 | − | 0.509510i | −0.224275 | − | 0.0395457i | ||||
\(167\) | −1.34613 | − | 7.63430i | −0.104167 | − | 0.590760i | −0.991550 | − | 0.129727i | \(-0.958590\pi\) |
0.887383 | − | 0.461033i | \(-0.152521\pi\) | |||||||
\(168\) | 0.577954 | − | 0.726325i | 0.0445901 | − | 0.0560372i | ||||
\(169\) | 7.18670 | + | 6.03036i | 0.552823 | + | 0.463874i | ||||
\(170\) | 0.510537 | 0.0391564 | ||||||||
\(171\) | −12.0068 | + | 5.18049i | −0.918181 | + | 0.396162i | ||||
\(172\) | −6.56066 | −0.500245 | ||||||||
\(173\) | −15.1853 | − | 12.7419i | −1.15451 | − | 0.968752i | −0.154698 | − | 0.987962i | \(-0.549441\pi\) |
−0.999815 | + | 0.0192097i | \(0.993885\pi\) | |||||||
\(174\) | 5.78480 | − | 7.26987i | 0.438545 | − | 0.551127i | ||||
\(175\) | −0.0930587 | − | 0.527762i | −0.00703458 | − | 0.0398951i | ||||
\(176\) | 0.265360 | + | 0.0467902i | 0.0200023 | + | 0.00352694i | ||||
\(177\) | 10.9403 | − | 2.22383i | 0.822325 | − | 0.167153i | ||||
\(178\) | 0.520759 | + | 0.901982i | 0.0390326 | + | 0.0676064i | ||||
\(179\) | −2.28067 | + | 3.95024i | −0.170466 | + | 0.295255i | −0.938583 | − | 0.345054i | \(-0.887861\pi\) |
0.768117 | + | 0.640309i | \(0.221194\pi\) | |||||||
\(180\) | −2.92335 | + | 0.673825i | −0.217893 | + | 0.0502239i | ||||
\(181\) | −14.2151 | − | 16.9409i | −1.05660 | − | 1.25921i | −0.964675 | − | 0.263443i | \(-0.915142\pi\) |
−0.0919262 | − | 0.995766i | \(-0.529302\pi\) | |||||||
\(182\) | −0.882830 | − | 0.509702i | −0.0654397 | − | 0.0377816i | ||||
\(183\) | 16.2699 | + | 8.83753i | 1.20270 | + | 0.653289i | ||||
\(184\) | −0.0797270 | + | 0.219048i | −0.00587756 | + | 0.0161485i | ||||
\(185\) | −1.59096 | + | 9.02277i | −0.116970 | + | 0.663368i | ||||
\(186\) | 9.14613 | − | 8.08894i | 0.670627 | − | 0.593110i | ||||
\(187\) | −0.129270 | + | 0.0470504i | −0.00945315 | + | 0.00344067i | ||||
\(188\) | −5.83426 | + | 6.95300i | −0.425507 | + | 0.507100i | ||||
\(189\) | −0.217015 | − | 2.77617i | −0.0157855 | − | 0.201936i | ||||
\(190\) | 2.78089 | − | 3.35658i | 0.201747 | − | 0.243512i | ||||
\(191\) | − | 4.43209i | − | 0.320695i | −0.987061 | − | 0.160347i | \(-0.948739\pi\) | ||
0.987061 | − | 0.160347i | \(-0.0512614\pi\) | |||||||
\(192\) | 1.71298 | + | 0.256315i | 0.123624 | + | 0.0184979i | ||||
\(193\) | 6.27088 | + | 17.2291i | 0.451388 | + | 1.24018i | 0.931748 | + | 0.363106i | \(0.118284\pi\) |
−0.480360 | + | 0.877071i | \(0.659494\pi\) | |||||||
\(194\) | −2.11176 | + | 0.372360i | −0.151615 | + | 0.0267339i | ||||
\(195\) | 1.20699 | + | 3.06569i | 0.0864340 | + | 0.219539i | ||||
\(196\) | 6.30798 | + | 2.29592i | 0.450570 | + | 0.163994i | ||||
\(197\) | 17.3492 | − | 10.0166i | 1.23608 | − | 0.713650i | 0.267788 | − | 0.963478i | \(-0.413707\pi\) |
0.968290 | + | 0.249828i | \(0.0803741\pi\) | |||||||
\(198\) | 0.678104 | − | 0.440027i | 0.0481908 | − | 0.0312713i | ||||
\(199\) | 2.55436 | − | 2.14336i | 0.181073 | − | 0.151939i | −0.547746 | − | 0.836645i | \(-0.684514\pi\) |
0.728819 | + | 0.684706i | \(0.240069\pi\) | |||||||
\(200\) | 0.766044 | − | 0.642788i | 0.0541675 | − | 0.0454519i | ||||
\(201\) | 9.92710 | − | 0.258203i | 0.700204 | − | 0.0182122i | ||||
\(202\) | 1.55899 | − | 0.900083i | 0.109690 | − | 0.0633296i | ||||
\(203\) | −2.70119 | − | 0.983152i | −0.189586 | − | 0.0690038i | ||||
\(204\) | −0.822803 | + | 0.323943i | −0.0576077 | + | 0.0226806i | ||||
\(205\) | −11.4406 | + | 2.01728i | −0.799043 | + | 0.140893i | ||||
\(206\) | −0.174249 | − | 0.478744i | −0.0121405 | − | 0.0333557i | ||||
\(207\) | 0.273019 | + | 0.643822i | 0.0189761 | + | 0.0447488i | ||||
\(208\) | − | 1.90222i | − | 0.131895i | ||||||
\(209\) | −0.394795 | + | 1.10618i | −0.0273085 | + | 0.0765163i | ||||
\(210\) | 0.484850 | + | 0.791516i | 0.0334579 | + | 0.0546198i | ||||
\(211\) | −6.56110 | + | 7.81921i | −0.451685 | + | 0.538297i | −0.943047 | − | 0.332658i | \(-0.892054\pi\) |
0.491363 | + | 0.870955i | \(0.336499\pi\) | |||||||
\(212\) | 5.36097 | − | 1.95123i | 0.368193 | − | 0.134011i | ||||
\(213\) | −7.36317 | − | 8.32550i | −0.504516 | − | 0.570454i | ||||
\(214\) | −1.04344 | + | 5.91766i | −0.0713283 | + | 0.404523i | ||||
\(215\) | 2.24388 | − | 6.16500i | 0.153031 | − | 0.420449i | ||||
\(216\) | 4.28384 | − | 2.94087i | 0.291478 | − | 0.200101i | ||||
\(217\) | −3.27168 | − | 1.88890i | −0.222096 | − | 0.128227i | ||||
\(218\) | 5.32312 | + | 6.34385i | 0.360527 | + | 0.429660i | ||||
\(219\) | 3.10087 | − | 9.26210i | 0.209537 | − | 0.625875i | ||||
\(220\) | −0.134727 | + | 0.233354i | −0.00908329 | + | 0.0157327i | ||||
\(221\) | 0.485576 | + | 0.841042i | 0.0326634 | + | 0.0565746i | ||||
\(222\) | −3.16103 | − | 15.5510i | −0.212155 | − | 1.04371i | ||||
\(223\) | 1.46787 | + | 0.258824i | 0.0982955 | + | 0.0173322i | 0.222580 | − | 0.974915i | \(-0.428552\pi\) |
−0.124284 | + | 0.992247i | \(0.539663\pi\) | |||||||
\(224\) | −0.0930587 | − | 0.527762i | −0.00621774 | − | 0.0352626i | ||||
\(225\) | 0.366656 | − | 2.97751i | 0.0244437 | − | 0.198501i | ||||
\(226\) | 2.49334 | + | 2.09216i | 0.165854 | + | 0.139168i | ||||
\(227\) | −1.74710 | −0.115959 | −0.0579795 | − | 0.998318i | \(-0.518466\pi\) | ||||
−0.0579795 | + | 0.998318i | \(0.518466\pi\) | |||||||
\(228\) | −2.35200 | + | 7.17413i | −0.155765 | + | 0.475118i | ||||
\(229\) | −12.1341 | −0.801845 | −0.400923 | − | 0.916112i | \(-0.631310\pi\) | ||||
−0.400923 | + | 0.916112i | \(0.631310\pi\) | |||||||
\(230\) | −0.178570 | − | 0.149838i | −0.0117745 | − | 0.00988001i | ||||
\(231\) | −0.195711 | − | 0.155732i | −0.0128768 | − | 0.0102464i | ||||
\(232\) | −0.931435 | − | 5.28243i | −0.0611517 | − | 0.346809i | ||||
\(233\) | −18.1764 | − | 3.20499i | −1.19077 | − | 0.209966i | −0.457067 | − | 0.889432i | \(-0.651100\pi\) |
−0.733707 | + | 0.679467i | \(0.762211\pi\) | |||||||
\(234\) | −3.89046 | − | 4.17495i | −0.254327 | − | 0.272925i | ||||
\(235\) | −4.53825 | − | 7.86048i | −0.296043 | − | 0.512761i | ||||
\(236\) | 3.22279 | − | 5.58203i | 0.209785 | − | 0.363359i | ||||
\(237\) | −11.2826 | − | 3.77730i | −0.732882 | − | 0.245362i | ||||
\(238\) | 0.175866 | + | 0.209589i | 0.0113997 | + | 0.0135856i | ||||
\(239\) | 1.19701 | + | 0.691097i | 0.0774284 | + | 0.0447033i | 0.538214 | − | 0.842808i | \(-0.319099\pi\) |
−0.460786 | + | 0.887511i | \(0.652432\pi\) | |||||||
\(240\) | −0.826731 | + | 1.52201i | −0.0533653 | + | 0.0982454i | ||||
\(241\) | 4.30699 | − | 11.8333i | 0.277437 | − | 0.762253i | −0.720214 | − | 0.693752i | \(-0.755956\pi\) |
0.997651 | − | 0.0685006i | \(-0.0218215\pi\) | |||||||
\(242\) | −1.89752 | + | 10.7614i | −0.121977 | + | 0.691768i | ||||
\(243\) | 3.38735 | − | 15.2160i | 0.217298 | − | 0.976105i | ||||
\(244\) | 10.0451 | − | 3.65610i | 0.643069 | − | 0.234058i | ||||
\(245\) | −4.31491 | + | 5.14231i | −0.275669 | + | 0.328530i | ||||
\(246\) | 17.1581 | − | 10.5103i | 1.09396 | − | 0.670114i | ||||
\(247\) | 8.17445 | + | 1.38868i | 0.520128 | + | 0.0883596i | ||||
\(248\) | − | 7.04941i | − | 0.447638i | ||||||
\(249\) | −0.752067 | + | 5.02615i | −0.0476603 | + | 0.318519i | ||||
\(250\) | 0.342020 | + | 0.939693i | 0.0216313 | + | 0.0594314i | ||||
\(251\) | −26.7932 | + | 4.72436i | −1.69117 | + | 0.298199i | −0.934597 | − | 0.355709i | \(-0.884240\pi\) |
−0.756574 | + | 0.653908i | \(0.773128\pi\) | |||||||
\(252\) | −1.28363 | − | 0.967996i | −0.0808614 | − | 0.0609780i | ||||
\(253\) | 0.0590234 | + | 0.0214828i | 0.00371077 | + | 0.00135061i | ||||
\(254\) | −4.36309 | + | 2.51903i | −0.273765 | + | 0.158058i | ||||
\(255\) | −0.0229921 | − | 0.883977i | −0.00143982 | − | 0.0553568i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 23.8566 | − | 20.0180i | 1.48813 | − | 1.24869i | 0.591199 | − | 0.806526i | \(-0.298655\pi\) |
0.896934 | − | 0.442165i | \(-0.145790\pi\) | |||||||
\(258\) | 0.295460 | + | 11.3595i | 0.0183946 | + | 0.707214i | ||||
\(259\) | −4.25212 | + | 2.45497i | −0.264214 | + | 0.152544i | ||||
\(260\) | 1.78750 | + | 0.650596i | 0.110856 | + | 0.0403483i | ||||
\(261\) | −12.8480 | − | 9.68879i | −0.795274 | − | 0.599721i | ||||
\(262\) | 2.09282 | − | 0.369021i | 0.129295 | − | 0.0227982i | ||||
\(263\) | −8.41522 | − | 23.1206i | −0.518905 | − | 1.42568i | −0.871728 | − | 0.489989i | \(-0.837001\pi\) |
0.352824 | − | 0.935690i | \(-0.385222\pi\) | |||||||
\(264\) | 0.0690650 | − | 0.461569i | 0.00425066 | − | 0.0284076i | ||||
\(265\) | 5.70503i | 0.350457i | ||||||||
\(266\) | 2.33590 | − | 0.0146203i | 0.143223 | − | 0.000896426i | ||||
\(267\) | 1.53830 | − | 0.942298i | 0.0941423 | − | 0.0576677i | ||||
\(268\) | 3.68533 | − | 4.39200i | 0.225117 | − | 0.268284i | ||||
\(269\) | 24.9087 | − | 9.06602i | 1.51871 | − | 0.552765i | 0.557883 | − | 0.829919i | \(-0.311614\pi\) |
0.960825 | + | 0.277155i | \(0.0893914\pi\) | |||||||
\(270\) | 1.29836 | + | 5.03133i | 0.0790155 | + | 0.306197i | ||||
\(271\) | 1.67423 | − | 9.49505i | 0.101702 | − | 0.576783i | −0.890784 | − | 0.454427i | \(-0.849844\pi\) |
0.992486 | − | 0.122356i | \(-0.0390449\pi\) | |||||||
\(272\) | −0.174614 | + | 0.479748i | −0.0105875 | + | 0.0290890i | ||||
\(273\) | −0.842773 | + | 1.55154i | −0.0510070 | + | 0.0939037i | ||||
\(274\) | −3.10860 | − | 1.79475i | −0.187797 | − | 0.108425i | ||||
\(275\) | −0.173202 | − | 0.206414i | −0.0104445 | − | 0.0124472i | ||||
\(276\) | 0.382865 | + | 0.128180i | 0.0230458 | + | 0.00771551i | ||||
\(277\) | −4.30168 | + | 7.45073i | −0.258463 | + | 0.447671i | −0.965830 | − | 0.259175i | \(-0.916549\pi\) |
0.707367 | + | 0.706846i | \(0.249883\pi\) | |||||||
\(278\) | −6.93710 | − | 12.0154i | −0.416060 | − | 0.720636i | ||||
\(279\) | −14.4176 | − | 15.4719i | −0.863161 | − | 0.926280i | ||||
\(280\) | 0.527762 | + | 0.0930587i | 0.0315398 | + | 0.00556132i | ||||
\(281\) | −3.97426 | − | 22.5391i | −0.237084 | − | 1.34457i | −0.838180 | − | 0.545394i | \(-0.816380\pi\) |
0.601095 | − | 0.799177i | \(-0.294731\pi\) | |||||||
\(282\) | 12.3016 | + | 9.78869i | 0.732551 | + | 0.582908i | ||||
\(283\) | 17.2555 | + | 14.4791i | 1.02573 | + | 0.860692i | 0.990337 | − | 0.138681i | \(-0.0442864\pi\) |
0.0353958 | + | 0.999373i | \(0.488731\pi\) | |||||||
\(284\) | −6.41691 | −0.380774 | ||||||||
\(285\) | −5.93704 | − | 4.66385i | −0.351680 | − | 0.276263i | ||||
\(286\) | −0.512560 | −0.0303083 | ||||||||
\(287\) | −4.76910 | − | 4.00175i | −0.281511 | − | 0.236216i | ||||
\(288\) | 0.366656 | − | 2.97751i | 0.0216054 | − | 0.175451i | ||||
\(289\) | 2.90676 | + | 16.4850i | 0.170986 | + | 0.969708i | ||||
\(290\) | 5.28243 | + | 0.931435i | 0.310195 | + | 0.0546958i | ||||
\(291\) | 0.739832 | + | 3.63967i | 0.0433697 | + | 0.213361i | ||||
\(292\) | −2.81960 | − | 4.88369i | −0.165005 | − | 0.285797i | ||||
\(293\) | 14.1844 | − | 24.5681i | 0.828663 | − | 1.43529i | −0.0704250 | − | 0.997517i | \(-0.522436\pi\) |
0.899088 | − | 0.437769i | \(-0.144231\pi\) | |||||||
\(294\) | 3.69122 | − | 11.0254i | 0.215276 | − | 0.643017i | ||||
\(295\) | 4.14313 | + | 4.93759i | 0.241223 | + | 0.287478i | ||||
\(296\) | −7.93449 | − | 4.58098i | −0.461183 | − | 0.266264i | ||||
\(297\) | −0.792430 | − | 1.15430i | −0.0459814 | − | 0.0669791i | ||||
\(298\) | 6.14443 | − | 16.8817i | 0.355937 | − | 0.977930i | ||||
\(299\) | 0.0769988 | − | 0.436682i | 0.00445296 | − | 0.0252540i | ||||
\(300\) | −1.14746 | − | 1.29743i | −0.0662488 | − | 0.0749072i | ||||
\(301\) | 3.30385 | − | 1.20250i | 0.190430 | − | 0.0693110i | ||||
\(302\) | −2.38118 | + | 2.83778i | −0.137022 | + | 0.163296i | ||||
\(303\) | −1.62867 | − | 2.65880i | −0.0935647 | − | 0.152744i | ||||
\(304\) | 2.20303 | + | 3.76120i | 0.126353 | + | 0.215720i | ||||
\(305\) | 10.6897i | 0.612092i | ||||||||
\(306\) | 0.597952 | + | 1.41007i | 0.0341826 | + | 0.0806081i | ||||
\(307\) | 9.05566 | + | 24.8802i | 0.516834 | + | 1.41999i | 0.873990 | + | 0.485944i | \(0.161524\pi\) |
−0.357156 | + | 0.934045i | \(0.616254\pi\) | |||||||
\(308\) | −0.142208 | + | 0.0250750i | −0.00810303 | + | 0.00142878i | ||||
\(309\) | −0.821082 | + | 0.323266i | −0.0467097 | + | 0.0183900i | ||||
\(310\) | 6.62428 | + | 2.41104i | 0.376234 | + | 0.136938i | ||||
\(311\) | 4.31145 | − | 2.48922i | 0.244480 | − | 0.141150i | −0.372754 | − | 0.927930i | \(-0.621587\pi\) |
0.617234 | + | 0.786780i | \(0.288253\pi\) | |||||||
\(312\) | −3.29362 | + | 0.0856667i | −0.186465 | + | 0.00484992i | ||||
\(313\) | −10.2430 | + | 8.59492i | −0.578970 | + | 0.485814i | −0.884609 | − | 0.466334i | \(-0.845575\pi\) |
0.305639 | + | 0.952148i | \(0.401130\pi\) | |||||||
\(314\) | 0.488173 | − | 0.409626i | 0.0275492 | − | 0.0231165i | ||||
\(315\) | 1.34865 | − | 0.875148i | 0.0759877 | − | 0.0493090i | ||||
\(316\) | −5.94904 | + | 3.43468i | −0.334660 | + | 0.193216i | ||||
\(317\) | −12.1126 | − | 4.40863i | −0.680313 | − | 0.247614i | −0.0213310 | − | 0.999772i | \(-0.506790\pi\) |
−0.658982 | + | 0.752159i | \(0.729013\pi\) | |||||||
\(318\) | −3.61993 | − | 9.19446i | −0.202995 | − | 0.515600i | ||||
\(319\) | −1.42337 | + | 0.250979i | −0.0796935 | + | 0.0140521i | ||||
\(320\) | 0.342020 | + | 0.939693i | 0.0191195 | + | 0.0525304i | ||||
\(321\) | 10.2932 | + | 1.54018i | 0.574511 | + | 0.0859645i | ||||
\(322\) | − | 0.124922i | − | 0.00696166i | ||||||
\(323\) | −1.93416 | − | 1.10061i | −0.107620 | − | 0.0612393i | ||||
\(324\) | −5.28494 | − | 7.28487i | −0.293608 | − | 0.404715i | ||||
\(325\) | −1.22272 | + | 1.45718i | −0.0678243 | + | 0.0808299i | ||||
\(326\) | 10.9158 | − | 3.97303i | 0.604572 | − | 0.220046i | ||||
\(327\) | 10.7444 | − | 9.50250i | 0.594168 | − | 0.525489i | ||||
\(328\) | 2.01728 | − | 11.4406i | 0.111386 | − | 0.631699i | ||||
\(329\) | 1.66363 | − | 4.57079i | 0.0917189 | − | 0.251996i | ||||
\(330\) | 0.410112 | + | 0.222766i | 0.0225759 | + | 0.0122629i | ||||
\(331\) | 24.0531 | + | 13.8871i | 1.32208 | + | 0.763303i | 0.984060 | − | 0.177836i | \(-0.0569097\pi\) |
0.338019 | + | 0.941139i | \(0.390243\pi\) | |||||||
\(332\) | 1.88604 | + | 2.24769i | 0.103510 | + | 0.123358i | ||||
\(333\) | −26.7836 | + | 6.17356i | −1.46773 | + | 0.338309i | ||||
\(334\) | −3.87604 | + | 6.71349i | −0.212087 | + | 0.367346i | ||||
\(335\) | 2.86668 | + | 4.96523i | 0.156623 | + | 0.271280i | ||||
\(336\) | −0.909611 | + | 0.184896i | −0.0496233 | + | 0.0100869i | ||||
\(337\) | 0.774603 | + | 0.136583i | 0.0421953 | + | 0.00744017i | 0.194706 | − | 0.980862i | \(-0.437625\pi\) |
−0.152511 | + | 0.988302i | \(0.548736\pi\) | |||||||
\(338\) | −1.62909 | − | 9.23905i | −0.0886110 | − | 0.502538i | ||||
\(339\) | 3.51021 | − | 4.41134i | 0.190648 | − | 0.239591i | ||||
\(340\) | −0.391094 | − | 0.328167i | −0.0212100 | − | 0.0177973i | ||||
\(341\) | −1.89949 | −0.102863 | ||||||||
\(342\) | 12.5277 | + | 3.74932i | 0.677419 | + | 0.202740i | ||||
\(343\) | −7.34874 | −0.396795 | ||||||||
\(344\) | 5.02575 | + | 4.21711i | 0.270970 | + | 0.227371i | ||||
\(345\) | −0.251397 | + | 0.315935i | −0.0135348 | + | 0.0170094i | ||||
\(346\) | 3.44222 | + | 19.5218i | 0.185055 | + | 1.04950i | ||||
\(347\) | −17.8338 | − | 3.14458i | −0.957368 | − | 0.168810i | −0.326929 | − | 0.945049i | \(-0.606014\pi\) |
−0.630439 | + | 0.776239i | \(0.717125\pi\) | |||||||
\(348\) | −9.10440 | + | 1.85064i | −0.488047 | + | 0.0992049i | ||||
\(349\) | 4.98489 | + | 8.63408i | 0.266835 | + | 0.462172i | 0.968043 | − | 0.250785i | \(-0.0806888\pi\) |
−0.701208 | + | 0.712957i | \(0.747355\pi\) | |||||||
\(350\) | −0.267952 | + | 0.464106i | −0.0143226 | + | 0.0248075i | ||||
\(351\) | −7.05357 | + | 6.92421i | −0.376492 | + | 0.369587i | ||||
\(352\) | −0.173202 | − | 0.206414i | −0.00923168 | − | 0.0110019i | ||||
\(353\) | 12.3034 | + | 7.10336i | 0.654843 | + | 0.378074i | 0.790309 | − | 0.612708i | \(-0.209920\pi\) |
−0.135466 | + | 0.990782i | \(0.543253\pi\) | |||||||
\(354\) | −9.81023 | − | 5.32875i | −0.521408 | − | 0.283220i | ||||
\(355\) | 2.19471 | − | 6.02992i | 0.116483 | − | 0.320035i | ||||
\(356\) | 0.180858 | − | 1.02570i | 0.00958545 | − | 0.0543618i | ||||
\(357\) | 0.354975 | − | 0.313944i | 0.0187873 | − | 0.0166157i | ||||
\(358\) | 4.28627 | − | 1.56007i | 0.226536 | − | 0.0824524i | ||||
\(359\) | −14.7475 | + | 17.5753i | −0.778341 | + | 0.927591i | −0.998857 | − | 0.0477926i | \(-0.984781\pi\) |
0.220516 | + | 0.975383i | \(0.429226\pi\) | |||||||
\(360\) | 2.67254 | + | 1.36291i | 0.140855 | + | 0.0718318i | ||||
\(361\) | −17.7714 | + | 6.72136i | −0.935338 | + | 0.353756i | ||||
\(362\) | 22.1148i | 1.16233i | ||||||||
\(363\) | 18.7184 | + | 2.80085i | 0.982462 | + | 0.147007i | ||||
\(364\) | 0.348657 | + | 0.957927i | 0.0182746 | + | 0.0502090i | ||||
\(365\) | 5.55353 | − | 0.979238i | 0.290685 | − | 0.0512556i | ||||
\(366\) | −6.78279 | − | 17.2280i | −0.354542 | − | 0.900523i | ||||
\(367\) | 24.3559 | + | 8.86481i | 1.27137 | + | 0.462739i | 0.887567 | − | 0.460678i | \(-0.152394\pi\) |
0.383798 | + | 0.923417i | \(0.374616\pi\) | |||||||
\(368\) | 0.201876 | − | 0.116553i | 0.0105235 | − | 0.00607575i | ||||
\(369\) | −18.9710 | − | 29.2353i | −0.987591 | − | 1.52193i | ||||
\(370\) | 7.01847 | − | 5.88920i | 0.364873 | − | 0.306165i | ||||
\(371\) | −2.34206 | + | 1.96522i | −0.121594 | + | 0.102029i | ||||
\(372\) | −12.2058 | + | 0.317472i | −0.632842 | + | 0.0164601i | ||||
\(373\) | 10.4729 | − | 6.04653i | 0.542266 | − | 0.313078i | −0.203731 | − | 0.979027i | \(-0.565307\pi\) |
0.745997 | + | 0.665949i | \(0.231973\pi\) | |||||||
\(374\) | 0.129270 | + | 0.0470504i | 0.00668439 | + | 0.00243292i | ||||
\(375\) | 1.61164 | − | 0.634515i | 0.0832248 | − | 0.0327662i | ||||
\(376\) | 8.93861 | − | 1.57612i | 0.460973 | − | 0.0812821i | ||||
\(377\) | 3.48975 | + | 9.58800i | 0.179731 | + | 0.493807i | ||||
\(378\) | −1.61824 | + | 2.26616i | −0.0832334 | + | 0.116559i | ||||
\(379\) | − | 9.41476i | − | 0.483604i | −0.970326 | − | 0.241802i | \(-0.922262\pi\) | ||
0.970326 | − | 0.241802i | \(-0.0777384\pi\) | |||||||
\(380\) | −4.28786 | + | 0.783767i | −0.219962 | + | 0.0402064i | ||||
\(381\) | 4.55811 | + | 7.44109i | 0.233519 | + | 0.381219i | ||||
\(382\) | −2.84889 | + | 3.39518i | −0.145762 | + | 0.173712i | ||||
\(383\) | 19.6447 | − | 7.15008i | 1.00380 | − | 0.365352i | 0.212749 | − | 0.977107i | \(-0.431758\pi\) |
0.791048 | + | 0.611755i | \(0.209536\pi\) | |||||||
\(384\) | −1.14746 | − | 1.29743i | −0.0585562 | − | 0.0662093i | ||||
\(385\) | 0.0250750 | − | 0.142208i | 0.00127794 | − | 0.00724757i | ||||
\(386\) | 6.27088 | − | 17.2291i | 0.319179 | − | 0.876938i | ||||
\(387\) | 19.6554 | − | 1.02316i | 0.999138 | − | 0.0520101i | ||||
\(388\) | 1.85705 | + | 1.07217i | 0.0942774 | + | 0.0544311i | ||||
\(389\) | 16.4586 | + | 19.6146i | 0.834486 | + | 0.994501i | 0.999966 | + | 0.00828818i | \(0.00263824\pi\) |
−0.165480 | + | 0.986213i | \(0.552917\pi\) | |||||||
\(390\) | 1.04598 | − | 3.12429i | 0.0529655 | − | 0.158205i | ||||
\(391\) | −0.0595047 | + | 0.103065i | −0.00300928 | + | 0.00521223i | ||||
\(392\) | −3.35640 | − | 5.81346i | −0.169524 | − | 0.293624i | ||||
\(393\) | −0.733198 | − | 3.60703i | −0.0369850 | − | 0.181951i | ||||
\(394\) | −19.7288 | − | 3.47871i | −0.993920 | − | 0.175255i | ||||
\(395\) | −1.19285 | − | 6.76500i | −0.0600189 | − | 0.340384i | ||||
\(396\) | −0.802302 | − | 0.0987968i | −0.0403172 | − | 0.00496473i | ||||
\(397\) | −23.8589 | − | 20.0200i | −1.19744 | − | 1.00477i | −0.999699 | − | 0.0245208i | \(-0.992194\pi\) |
−0.197744 | − | 0.980254i | \(-0.563362\pi\) | |||||||
\(398\) | −3.33447 | −0.167142 | ||||||||
\(399\) | −0.130512 | − | 4.04388i | −0.00653379 | − | 0.202447i | ||||
\(400\) | −1.00000 | −0.0500000 | ||||||||
\(401\) | 6.05613 | + | 5.08169i | 0.302429 | + | 0.253768i | 0.781354 | − | 0.624088i | \(-0.214529\pi\) |
−0.478926 | + | 0.877855i | \(0.658974\pi\) | |||||||
\(402\) | −7.77057 | − | 6.18322i | −0.387561 | − | 0.308391i | ||||
\(403\) | 2.32854 | + | 13.2058i | 0.115993 | + | 0.657827i | ||||
\(404\) | −1.77282 | − | 0.312595i | −0.0882010 | − | 0.0155522i | ||||
\(405\) | 8.65310 | − | 2.47465i | 0.429976 | − | 0.122966i | ||||
\(406\) | 1.43727 | + | 2.48943i | 0.0713306 | + | 0.123548i | ||||
\(407\) | −1.23436 | + | 2.13798i | −0.0611851 | + | 0.105976i | ||||
\(408\) | 0.838530 | + | 0.280732i | 0.0415134 | + | 0.0138983i | ||||
\(409\) | 14.4428 | + | 17.2123i | 0.714151 | + | 0.851092i | 0.994049 | − | 0.108938i | \(-0.0347450\pi\) |
−0.279898 | + | 0.960030i | \(0.590301\pi\) | |||||||
\(410\) | 10.0607 | + | 5.80852i | 0.496860 | + | 0.286862i | ||||
\(411\) | −2.96755 | + | 5.46325i | −0.146378 | + | 0.269482i | ||||
\(412\) | −0.174249 | + | 0.478744i | −0.00858462 | + | 0.0235860i | ||||
\(413\) | −0.599816 | + | 3.40173i | −0.0295150 | + | 0.167388i | ||||
\(414\) | 0.204696 | − | 0.668690i | 0.0100603 | − | 0.0328643i | ||||
\(415\) | −2.75720 | + | 1.00354i | −0.135346 | + | 0.0492618i | ||||
\(416\) | −1.22272 | + | 1.45718i | −0.0599488 | + | 0.0714442i | ||||
\(417\) | −20.4919 | + | 12.5525i | −1.00349 | + | 0.614697i | ||||
\(418\) | 1.01347 | − | 0.593616i | 0.0495705 | − | 0.0290347i | ||||
\(419\) | 18.2936i | 0.893703i | 0.894608 | + | 0.446851i | \(0.147455\pi\) | ||||
−0.894608 | + | 0.446851i | \(0.852545\pi\) | |||||||
\(420\) | 0.137360 | − | 0.917993i | 0.00670248 | − | 0.0447934i | ||||
\(421\) | 12.7447 | + | 35.0157i | 0.621138 | + | 1.70656i | 0.704185 | + | 0.710017i | \(0.251313\pi\) |
−0.0830467 | + | 0.996546i | \(0.526465\pi\) | |||||||
\(422\) | 10.0522 | − | 1.77247i | 0.489333 | − | 0.0862826i | ||||
\(423\) | 16.3948 | − | 21.7407i | 0.797141 | − | 1.05707i | ||||
\(424\) | −5.36097 | − | 1.95123i | −0.260352 | − | 0.0947603i | ||||
\(425\) | 0.442138 | − | 0.255268i | 0.0214468 | − | 0.0123823i | ||||
\(426\) | 0.288987 | + | 11.1107i | 0.0140015 | + | 0.538313i | ||||
\(427\) | −4.38841 | + | 3.68231i | −0.212370 | + | 0.178200i | ||||
\(428\) | 4.60312 | − | 3.86248i | 0.222500 | − | 0.186700i | ||||
\(429\) | 0.0230832 | + | 0.887479i | 0.00111447 | + | 0.0428479i | ||||
\(430\) | −5.68169 | + | 3.28033i | −0.273996 | + | 0.158191i | ||||
\(431\) | −17.5447 | − | 6.38575i | −0.845098 | − | 0.307591i | −0.117058 | − | 0.993125i | \(-0.537346\pi\) |
−0.728040 | + | 0.685534i | \(0.759569\pi\) | |||||||
\(432\) | −5.17197 | − | 0.500759i | −0.248836 | − | 0.0240928i | ||||
\(433\) | 10.8936 | − | 1.92083i | 0.523512 | − | 0.0923093i | 0.0943539 | − | 0.995539i | \(-0.469921\pi\) |
0.429158 | + | 0.903229i | \(0.358810\pi\) | |||||||
\(434\) | 1.29209 | + | 3.54998i | 0.0620221 | + | 0.170404i | ||||
\(435\) | 1.37485 | − | 9.18829i | 0.0659191 | − | 0.440545i | ||||
\(436\) | − | 8.28131i | − | 0.396603i | ||||||
\(437\) | 0.353491 | + | 0.952615i | 0.0169098 | + | 0.0455698i | ||||
\(438\) | −8.32897 | + | 5.10198i | −0.397973 | + | 0.243782i | ||||
\(439\) | 23.7456 | − | 28.2990i | 1.13332 | − | 1.35064i | 0.205037 | − | 0.978754i | \(-0.434268\pi\) |
0.928280 | − | 0.371881i | \(-0.121287\pi\) | |||||||
\(440\) | 0.253204 | − | 0.0921587i | 0.0120710 | − | 0.00439349i | ||||
\(441\) | −19.2564 | − | 5.89468i | −0.916971 | − | 0.280699i | ||||
\(442\) | 0.168639 | − | 0.956397i | 0.00802132 | − | 0.0454912i | ||||
\(443\) | 7.07598 | − | 19.4411i | 0.336190 | − | 0.923675i | −0.650274 | − | 0.759699i | \(-0.725346\pi\) |
0.986464 | − | 0.163975i | \(-0.0524317\pi\) | |||||||
\(444\) | −7.57448 | + | 13.9446i | −0.359469 | + | 0.661782i | ||||
\(445\) | 0.901982 | + | 0.520759i | 0.0427580 | + | 0.0246864i | ||||
\(446\) | −0.958081 | − | 1.14180i | −0.0453664 | − | 0.0540656i | ||||
\(447\) | −29.5068 | − | 9.87860i | −1.39562 | − | 0.467242i | ||||
\(448\) | −0.267952 | + | 0.464106i | −0.0126595 | + | 0.0219270i | ||||
\(449\) | 19.7374 | + | 34.1861i | 0.931464 | + | 1.61334i | 0.780821 | + | 0.624755i | \(0.214801\pi\) |
0.150644 | + | 0.988588i | \(0.451865\pi\) | |||||||
\(450\) | −2.19478 | + | 2.04522i | −0.103463 | + | 0.0964127i | ||||
\(451\) | −3.08270 | − | 0.543563i | −0.145159 | − | 0.0255954i | ||||
\(452\) | −0.565193 | − | 3.20537i | −0.0265845 | − | 0.150768i | ||||
\(453\) | 5.02076 | + | 3.99514i | 0.235896 | + | 0.187708i | ||||
\(454\) | 1.33835 | + | 1.12301i | 0.0628121 | + | 0.0527056i | ||||
\(455\) | −1.01940 | −0.0477904 | ||||||||
\(456\) | 6.41318 | − | 3.98386i | 0.300325 | − | 0.186561i | ||||
\(457\) | 1.93285 | 0.0904151 | 0.0452075 | − | 0.998978i | \(-0.485605\pi\) | ||||
0.0452075 | + | 0.998978i | \(0.485605\pi\) | |||||||
\(458\) | 9.29527 | + | 7.79966i | 0.434340 | + | 0.364454i | ||||
\(459\) | 2.41455 | − | 1.09884i | 0.112702 | − | 0.0512893i | ||||
\(460\) | 0.0404785 | + | 0.229565i | 0.00188732 | + | 0.0107035i | ||||
\(461\) | −17.0136 | − | 2.99996i | −0.792403 | − | 0.139722i | −0.237226 | − | 0.971454i | \(-0.576238\pi\) |
−0.555177 | + | 0.831732i | \(0.687349\pi\) | |||||||
\(462\) | 0.0498209 | + | 0.245098i | 0.00231788 | + | 0.0114030i | ||||
\(463\) | −10.5864 | − | 18.3361i | −0.491990 | − | 0.852152i | 0.507967 | − | 0.861376i | \(-0.330397\pi\) |
−0.999957 | + | 0.00922415i | \(0.997064\pi\) | |||||||
\(464\) | −2.68196 | + | 4.64529i | −0.124507 | + | 0.215652i | ||||
\(465\) | 3.87631 | − | 11.5783i | 0.179760 | − | 0.536931i | ||||
\(466\) | 11.8638 | + | 14.1387i | 0.549579 | + | 0.654963i | ||||
\(467\) | −2.81741 | − | 1.62663i | −0.130374 | − | 0.0752716i | 0.433394 | − | 0.901204i | \(-0.357316\pi\) |
−0.563769 | + | 0.825933i | \(0.690649\pi\) | |||||||
\(468\) | 0.296658 | + | 5.69893i | 0.0137130 | + | 0.263433i | ||||
\(469\) | −1.05087 | + | 2.88723i | −0.0485245 | + | 0.133320i | ||||
\(470\) | −1.57612 | + | 8.93861i | −0.0727009 | + | 0.412307i | ||||
\(471\) | −0.731238 | − | 0.826808i | −0.0336937 | − | 0.0380973i | ||||
\(472\) | −6.05686 | + | 2.20452i | −0.278789 | + | 0.101471i | ||||
\(473\) | 1.13632 | − | 1.35421i | 0.0522479 | − | 0.0622666i | ||||
\(474\) | 6.21495 | + | 10.1459i | 0.285462 | + | 0.466016i | ||||
\(475\) | 0.730033 | − | 4.29733i | 0.0334962 | − | 0.197175i | ||||
\(476\) | − | 0.273599i | − | 0.0125404i | ||||||
\(477\) | −15.7569 | + | 6.68185i | −0.721458 | + | 0.305941i | ||||
\(478\) | −0.472738 | − | 1.29884i | −0.0216225 | − | 0.0594074i | ||||
\(479\) | −11.7497 | + | 2.07180i | −0.536859 | + | 0.0946627i | −0.435503 | − | 0.900187i | \(-0.643429\pi\) |
−0.101356 | + | 0.994850i | \(0.532318\pi\) | |||||||
\(480\) | 1.61164 | − | 0.634515i | 0.0735611 | − | 0.0289615i | ||||
\(481\) | 16.3770 | + | 5.96074i | 0.746727 | + | 0.271786i | ||||
\(482\) | −10.9057 | + | 6.29639i | −0.496740 | + | 0.286793i | ||||
\(483\) | −0.216299 | + | 0.00562591i | −0.00984194 | + | 0.000255988i | ||||
\(484\) | 8.37087 | − | 7.02399i | 0.380494 | − | 0.319272i | ||||
\(485\) | −1.64266 | + | 1.37835i | −0.0745892 | + | 0.0625878i | ||||
\(486\) | −12.3755 | + | 9.47877i | −0.561364 | + | 0.429966i | ||||
\(487\) | 6.60985 | − | 3.81620i | 0.299521 | − | 0.172928i | −0.342707 | − | 0.939442i | \(-0.611344\pi\) |
0.642228 | + | 0.766514i | \(0.278010\pi\) | |||||||
\(488\) | −10.0451 | − | 3.65610i | −0.454718 | − | 0.165504i | ||||
\(489\) | −7.37077 | − | 18.7214i | −0.333318 | − | 0.846613i | ||||
\(490\) | 6.61082 | − | 1.16567i | 0.298647 | − | 0.0526595i | ||||
\(491\) | 12.5691 | + | 34.5334i | 0.567238 | + | 1.55847i | 0.808798 | + | 0.588087i | \(0.200119\pi\) |
−0.241560 | + | 0.970386i | \(0.577659\pi\) | |||||||
\(492\) | −19.8998 | − | 2.97762i | −0.897151 | − | 0.134241i | ||||
\(493\) | − | 2.73848i | − | 0.123335i | ||||||
\(494\) | −5.36937 | − | 6.31823i | −0.241579 | − | 0.284270i | ||||
\(495\) | 0.367242 | − | 0.720126i | 0.0165063 | − | 0.0323673i | ||||
\(496\) | −4.53128 | + | 5.40016i | −0.203460 | + | 0.242475i | ||||
\(497\) | 3.23146 | − | 1.17615i | 0.144951 | − | 0.0527577i | ||||
\(498\) | 3.80686 | − | 3.36683i | 0.170590 | − | 0.150871i | ||||
\(499\) | −5.83153 | + | 33.0723i | −0.261055 | + | 1.48052i | 0.518982 | + | 0.854785i | \(0.326311\pi\) |
−0.780037 | + | 0.625733i | \(0.784800\pi\) | |||||||
\(500\) | 0.342020 | − | 0.939693i | 0.0152956 | − | 0.0420243i | ||||
\(501\) | 11.7987 | + | 6.40888i | 0.527129 | + | 0.286328i | ||||
\(502\) | 23.5615 | + | 13.6033i | 1.05160 | + | 0.607143i | ||||
\(503\) | 19.9507 | + | 23.7763i | 0.889557 | + | 1.06013i | 0.997819 | + | 0.0660102i | \(0.0210270\pi\) |
−0.108262 | + | 0.994122i | \(0.534529\pi\) | |||||||
\(504\) | 0.361105 | + | 1.56663i | 0.0160849 | + | 0.0697834i | ||||
\(505\) | 0.900083 | − | 1.55899i | 0.0400532 | − | 0.0693741i | ||||
\(506\) | −0.0314057 | − | 0.0543963i | −0.00139615 | − | 0.00241821i | ||||
\(507\) | −15.9237 | + | 3.23680i | −0.707197 | + | 0.143751i | ||||
\(508\) | 4.96152 | + | 0.874850i | 0.220132 | + | 0.0388152i | ||||
\(509\) | 5.30276 | + | 30.0734i | 0.235041 | + | 1.33298i | 0.842528 | + | 0.538652i | \(0.181066\pi\) |
−0.607487 | + | 0.794329i | \(0.707822\pi\) | |||||||
\(510\) | −0.550596 | + | 0.691945i | −0.0243808 | + | 0.0306398i | ||||
\(511\) | 2.31504 | + | 1.94255i | 0.102411 | + | 0.0859333i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 5.92763 | − | 21.8601i | 0.261711 | − | 0.965146i | ||||
\(514\) | −31.1425 | −1.37364 | ||||||||
\(515\) | −0.390276 | − | 0.327480i | −0.0171976 | − | 0.0144305i | ||||
\(516\) | 7.07544 | − | 8.89184i | 0.311479 | − | 0.391441i | ||||
\(517\) | −0.424691 | − | 2.40854i | −0.0186779 | − | 0.105928i | ||||
\(518\) | 4.83534 | + | 0.852600i | 0.212453 | + | 0.0374611i | ||||
\(519\) | 33.6463 | − | 6.83925i | 1.47691 | − | 0.300210i | ||||
\(520\) | −0.951108 | − | 1.64737i | −0.0417088 | − | 0.0722418i | ||||
\(521\) | 2.91411 | − | 5.04738i | 0.127669 | − | 0.221130i | −0.795104 | − | 0.606473i | \(-0.792584\pi\) |
0.922773 | + | 0.385344i | \(0.125917\pi\) | |||||||
\(522\) | 3.61434 | + | 15.6806i | 0.158195 | + | 0.686322i | ||||
\(523\) | −21.9654 | − | 26.1773i | −0.960479 | − | 1.14465i | −0.989421 | − | 0.145073i | \(-0.953658\pi\) |
0.0289420 | − | 0.999581i | \(-0.490786\pi\) | |||||||
\(524\) | −1.84040 | − | 1.06255i | −0.0803982 | − | 0.0464179i | ||||
\(525\) | 0.815651 | + | 0.443048i | 0.0355979 | + | 0.0193362i | ||||
\(526\) | −8.41522 | + | 23.1206i | −0.366921 | + | 1.00811i | ||||
\(527\) | 0.624957 | − | 3.54431i | 0.0272236 | − | 0.154393i | ||||
\(528\) | −0.349598 | + | 0.309189i | −0.0152143 | + | 0.0134557i | ||||
\(529\) | −21.5619 | + | 7.84788i | −0.937473 | + | 0.341212i | ||||
\(530\) | 3.66712 | − | 4.37031i | 0.159290 | − | 0.189834i | ||||
\(531\) | −8.78475 | + | 17.2260i | −0.381225 | + | 0.747547i | ||||
\(532\) | −1.79880 | − | 1.49029i | −0.0779880 | − | 0.0646123i | ||||
\(533\) | 22.0981i | 0.957176i | ||||||||
\(534\) | −1.78410 | − | 0.266957i | −0.0772056 | − | 0.0115523i | ||||
\(535\) | 2.05518 | + | 5.64656i | 0.0888532 | + | 0.244122i | ||||
\(536\) | −5.64625 | + | 0.995587i | −0.243881 | + | 0.0430028i | ||||
\(537\) | −2.89425 | − | 7.35126i | −0.124896 | − | 0.317230i | ||||
\(538\) | −24.9087 | − | 9.06602i | −1.07389 | − | 0.390864i | ||||
\(539\) | −1.56646 | + | 0.904396i | −0.0674722 | + | 0.0389551i | ||||
\(540\) | 2.23948 | − | 4.68879i | 0.0963717 | − | 0.201773i | ||||
\(541\) | 16.5317 | − | 13.8717i | 0.710751 | − | 0.596391i | −0.214059 | − | 0.976821i | \(-0.568668\pi\) |
0.924810 | + | 0.380430i | \(0.124224\pi\) | |||||||
\(542\) | −7.38584 | + | 6.19745i | −0.317249 | + | 0.266203i | ||||
\(543\) | 38.2910 | − | 0.995944i | 1.64322 | − | 0.0427401i | ||||
\(544\) | 0.442138 | − | 0.255268i | 0.0189565 | − | 0.0109445i | ||||
\(545\) | 7.78188 | + | 2.83237i | 0.333339 | + | 0.121326i | ||||
\(546\) | 1.64292 | − | 0.646828i | 0.0703103 | − | 0.0276817i | ||||
\(547\) | −35.0150 | + | 6.17409i | −1.49713 | + | 0.263985i | −0.861402 | − | 0.507924i | \(-0.830413\pi\) |
−0.635732 | + | 0.771910i | \(0.719302\pi\) | |||||||
\(548\) | 1.22768 | + | 3.37302i | 0.0524439 | + | 0.144088i | ||||
\(549\) | −29.5242 | + | 12.5200i | −1.26006 | + | 0.534342i | ||||
\(550\) | 0.269454i | 0.0114896i | ||||||||
\(551\) | −18.0044 | − | 14.9165i | −0.767015 | − | 0.635464i | ||||
\(552\) | −0.210899 | − | 0.344292i | −0.00897647 | − | 0.0146540i | ||||
\(553\) | 2.36630 | − | 2.82005i | 0.100626 | − | 0.119921i | ||||
\(554\) | 8.08452 | − | 2.94252i | 0.343478 | − | 0.125016i | ||||
\(555\) | −10.5130 | − | 11.8870i | −0.446253 | − | 0.504576i | ||||
\(556\) | −2.40923 | + | 13.6634i | −0.102174 | + | 0.579458i | ||||
\(557\) | −2.09509 | + | 5.75621i | −0.0887718 | + | 0.243899i | −0.976132 | − | 0.217178i | \(-0.930315\pi\) |
0.887360 | + | 0.461077i | \(0.152537\pi\) | |||||||
\(558\) | 1.09938 | + | 21.1196i | 0.0465406 | + | 0.894066i | ||||
\(559\) | −10.8078 | − | 6.23989i | −0.457122 | − | 0.263919i | ||||
\(560\) | −0.344472 | − | 0.410526i | −0.0145566 | − | 0.0173479i | ||||
\(561\) | 0.0756444 | − | 0.225945i | 0.00319371 | − | 0.00953942i | ||||
\(562\) | −11.4434 | + | 19.8206i | −0.482711 | + | 0.836081i | ||||
\(563\) | 8.06195 | + | 13.9637i | 0.339771 | + | 0.588500i | 0.984389 | − | 0.176004i | \(-0.0563172\pi\) |
−0.644619 | + | 0.764504i | \(0.722984\pi\) | |||||||
\(564\) | −3.13154 | − | 15.4059i | −0.131862 | − | 0.648706i | ||||
\(565\) | 3.20537 | + | 0.565193i | 0.134851 | + | 0.0237779i | ||||
\(566\) | −3.91150 | − | 22.1832i | −0.164413 | − | 0.932431i | ||||
\(567\) | 3.99666 | + | 2.69987i | 0.167844 | + | 0.113384i | ||||
\(568\) | 4.91564 | + | 4.12471i | 0.206256 | + | 0.173069i | ||||
\(569\) | −7.45449 | −0.312508 | −0.156254 | − | 0.987717i | \(-0.549942\pi\) | ||||
−0.156254 | + | 0.987717i | \(0.549942\pi\) | |||||||
\(570\) | 1.55017 | + | 7.38898i | 0.0649295 | + | 0.309490i | ||||
\(571\) | −28.6140 | −1.19746 | −0.598730 | − | 0.800951i | \(-0.704328\pi\) | ||||
−0.598730 | + | 0.800951i | \(0.704328\pi\) | |||||||
\(572\) | 0.392643 | + | 0.329467i | 0.0164172 | + | 0.0137757i | ||||
\(573\) | 6.00693 | + | 4.77985i | 0.250943 | + | 0.199681i | ||||
\(574\) | 1.08107 | + | 6.13103i | 0.0451228 | + | 0.255904i | ||||
\(575\) | −0.229565 | − | 0.0404785i | −0.00957352 | − | 0.00168807i | ||||
\(576\) | −2.19478 | + | 2.04522i | −0.0914492 | + | 0.0852176i | ||||
\(577\) | −10.1333 | − | 17.5513i | −0.421853 | − | 0.730671i | 0.574268 | − | 0.818667i | \(-0.305287\pi\) |
−0.996121 | + | 0.0879968i | \(0.971953\pi\) | |||||||
\(578\) | 8.36968 | − | 14.4967i | 0.348133 | − | 0.602983i | ||||
\(579\) | −30.1140 | − | 10.0819i | −1.25149 | − | 0.418989i | ||||
\(580\) | −3.44786 | − | 4.10900i | −0.143165 | − | 0.170617i | ||||
\(581\) | −1.36176 | − | 0.786212i | −0.0564953 | − | 0.0326176i | ||||
\(582\) | 1.77279 | − | 3.26370i | 0.0734845 | − | 0.135285i | ||||
\(583\) | −0.525768 | + | 1.44454i | −0.0217751 | + | 0.0598265i | ||||
\(584\) | −0.979238 | + | 5.55353i | −0.0405211 | + | 0.229807i | ||||
\(585\) | −5.45671 | − | 1.67038i | −0.225607 | − | 0.0690618i | ||||
\(586\) | −26.6580 | + | 9.70271i | −1.10123 | + | 0.400815i | ||||
\(587\) | 10.6189 | − | 12.6551i | 0.438287 | − | 0.522330i | −0.501007 | − | 0.865443i | \(-0.667037\pi\) |
0.939294 | + | 0.343113i | \(0.111481\pi\) | |||||||
\(588\) | −9.91465 | + | 6.07331i | −0.408873 | + | 0.250459i | ||||
\(589\) | −19.8983 | − | 23.4147i | −0.819896 | − | 0.964785i | ||||
\(590\) | − | 6.44557i | − | 0.265360i | ||||||
\(591\) | −5.13478 | + | 34.3163i | −0.211217 | + | 1.41158i | ||||
\(592\) | 3.13358 | + | 8.60943i | 0.128789 | + | 0.353845i | ||||
\(593\) | −20.7736 | + | 3.66294i | −0.853068 | + | 0.150419i | −0.583050 | − | 0.812436i | \(-0.698141\pi\) |
−0.270018 | + | 0.962855i | \(0.587030\pi\) | |||||||
\(594\) | −0.134931 | + | 1.39361i | −0.00553630 | + | 0.0571804i | ||||
\(595\) | 0.257099 | + | 0.0935762i | 0.0105400 | + | 0.00383625i | ||||
\(596\) | −15.5582 | + | 8.98256i | −0.637291 | + | 0.367940i | ||||
\(597\) | 0.150169 | + | 5.77353i | 0.00614600 | + | 0.236295i | ||||
\(598\) | −0.339678 | + | 0.285024i | −0.0138905 | + | 0.0116555i | ||||
\(599\) | 12.3894 | − | 10.3959i | 0.506217 | − | 0.424766i | −0.353579 | − | 0.935405i | \(-0.615035\pi\) |
0.859795 | + | 0.510639i | \(0.170591\pi\) | |||||||
\(600\) | 0.0450352 | + | 1.73147i | 0.00183855 | + | 0.0706868i | ||||
\(601\) | 0.702402 | − | 0.405532i | 0.0286516 | − | 0.0165420i | −0.485606 | − | 0.874178i | \(-0.661401\pi\) |
0.514257 | + | 0.857636i | \(0.328068\pi\) | |||||||
\(602\) | −3.30385 | − | 1.20250i | −0.134655 | − | 0.0490103i | ||||
\(603\) | −10.3561 | + | 13.7329i | −0.421733 | + | 0.559248i | ||||
\(604\) | 3.64818 | − | 0.643273i | 0.148442 | − | 0.0261744i | ||||
\(605\) | 3.73739 | + | 10.2684i | 0.151946 | + | 0.417470i | ||||
\(606\) | −0.461409 | + | 3.08365i | −0.0187435 | + | 0.125265i | ||||
\(607\) | 15.6970i | 0.637123i | 0.947902 | + | 0.318561i | \(0.103200\pi\) | ||||
−0.947902 | + | 0.318561i | \(0.896800\pi\) | |||||||
\(608\) | 0.730033 | − | 4.29733i | 0.0296067 | − | 0.174280i | ||||
\(609\) | 4.24563 | − | 2.60070i | 0.172042 | − | 0.105386i | ||||
\(610\) | 6.87122 | − | 8.18880i | 0.278208 | − | 0.331555i | ||||
\(611\) | −16.2242 | + | 5.90514i | −0.656362 | + | 0.238896i | ||||
\(612\) | 0.448315 | − | 1.46453i | 0.0181221 | − | 0.0592001i | ||||
\(613\) | 5.89200 | − | 33.4152i | 0.237976 | − | 1.34963i | −0.598280 | − | 0.801287i | \(-0.704149\pi\) |
0.836256 | − | 0.548340i | \(-0.184740\pi\) | |||||||
\(614\) | 9.05566 | − | 24.8802i | 0.365457 | − | 1.00408i | ||||
\(615\) | 9.60417 | − | 17.6813i | 0.387277 | − | 0.712977i | ||||
\(616\) | 0.125055 | + | 0.0722007i | 0.00503862 | + | 0.00290905i | ||||
\(617\) | 18.4198 | + | 21.9518i | 0.741552 | + | 0.883748i | 0.996533 | − | 0.0831986i | \(-0.0265136\pi\) |
−0.254981 | + | 0.966946i | \(0.582069\pi\) | |||||||
\(618\) | 0.836776 | + | 0.280145i | 0.0336601 | + | 0.0112691i | ||||
\(619\) | 12.4597 | − | 21.5808i | 0.500797 | − | 0.867406i | −0.499203 | − | 0.866485i | \(-0.666374\pi\) |
1.00000 | 0.000920317i | \(-0.000292946\pi\) | ||||||||
\(620\) | −3.52471 | − | 6.10497i | −0.141556 | − | 0.245182i | ||||
\(621\) | −1.16703 | − | 0.324310i | −0.0468314 | − | 0.0130141i | ||||
\(622\) | −4.90280 | − | 0.864495i | −0.196584 | − | 0.0346631i | ||||
\(623\) | 0.0969224 | + | 0.549674i | 0.00388311 | + | 0.0220222i | ||||
\(624\) | 2.57813 | + | 2.05147i | 0.103208 | + | 0.0821247i | ||||
\(625\) | 0.766044 | + | 0.642788i | 0.0306418 | + | 0.0257115i | ||||
\(626\) | 13.3713 | 0.534426 | ||||||||
\(627\) | −1.07347 | − | 1.72806i | −0.0428702 | − | 0.0690119i | ||||
\(628\) | −0.637265 | −0.0254296 | ||||||||
\(629\) | −3.58319 | − | 3.00665i | −0.142871 | − | 0.119883i | ||||
\(630\) | −1.59566 | − | 0.196492i | −0.0635725 | − | 0.00782843i | ||||
\(631\) | −2.54473 | − | 14.4319i | −0.101304 | − | 0.574525i | −0.992632 | − | 0.121166i | \(-0.961337\pi\) |
0.891328 | − | 0.453359i | \(-0.149774\pi\) | |||||||
\(632\) | 6.76500 | + | 1.19285i | 0.269097 | + | 0.0474491i | ||||
\(633\) | −3.52168 | − | 17.3252i | −0.139974 | − | 0.688614i | ||||
\(634\) | 6.44499 | + | 11.1631i | 0.255963 | + | 0.443342i | ||||
\(635\) | −2.51903 | + | 4.36309i | −0.0999647 | + | 0.173144i | ||||
\(636\) | −3.13706 | + | 9.37021i | −0.124393 | + | 0.371553i | ||||
\(637\) | 8.20789 | + | 9.78178i | 0.325208 | + | 0.387568i | ||||
\(638\) | 1.25169 | + | 0.722665i | 0.0495550 | + | 0.0286106i | ||||
\(639\) | 19.2247 | − | 1.00074i | 0.760518 | − | 0.0395887i | ||||
\(640\) | 0.342020 | − | 0.939693i | 0.0135195 | − | 0.0371446i | ||||
\(641\) | −2.74984 | + | 15.5951i | −0.108612 | + | 0.615970i | 0.881104 | + | 0.472923i | \(0.156801\pi\) |
−0.989716 | + | 0.143047i | \(0.954310\pi\) | |||||||
\(642\) | −6.89504 | − | 7.79619i | −0.272126 | − | 0.307691i | ||||
\(643\) | 6.48291 | − | 2.35959i | 0.255661 | − | 0.0930530i | −0.211010 | − | 0.977484i | \(-0.567675\pi\) |
0.466671 | + | 0.884431i | \(0.345453\pi\) | |||||||
\(644\) | −0.0802986 | + | 0.0956962i | −0.00316421 | + | 0.00377096i | ||||
\(645\) | 5.93565 | + | 9.68993i | 0.233716 | + | 0.381540i | ||||
\(646\) | 0.774198 | + | 2.08637i | 0.0304604 | + | 0.0820870i | ||||
\(647\) | 45.7024i | 1.79675i | 0.439231 | + | 0.898374i | \(0.355251\pi\) | ||||
−0.439231 | + | 0.898374i | \(0.644749\pi\) | |||||||
\(648\) | −0.634126 | + | 8.97763i | −0.0249108 | + | 0.352675i | ||||
\(649\) | 0.594015 | + | 1.63204i | 0.0233171 | + | 0.0640633i | ||||
\(650\) | 1.87332 | − | 0.330316i | 0.0734775 | − | 0.0129561i | ||||
\(651\) | 6.08847 | − | 2.39708i | 0.238626 | − | 0.0939488i | ||||
\(652\) | −10.9158 | − | 3.97303i | −0.427497 | − | 0.155596i | ||||
\(653\) | 0.743456 | − | 0.429234i | 0.0290937 | − | 0.0167972i | −0.485383 | − | 0.874302i | \(-0.661320\pi\) |
0.514476 | + | 0.857505i | \(0.327986\pi\) | |||||||
\(654\) | −14.3388 | + | 0.372950i | −0.560691 | + | 0.0145835i | ||||
\(655\) | 1.62793 | − | 1.36599i | 0.0636084 | − | 0.0533738i | ||||
\(656\) | −8.89917 | + | 7.46729i | −0.347454 | + | 0.291549i | ||||
\(657\) | 9.20900 | + | 14.1915i | 0.359277 | + | 0.553665i | ||||
\(658\) | −4.21246 | + | 2.43206i | −0.164219 | + | 0.0948117i | ||||
\(659\) | −25.4151 | − | 9.25036i | −0.990034 | − | 0.360343i | −0.204300 | − | 0.978908i | \(-0.565492\pi\) |
−0.785733 | + | 0.618565i | \(0.787714\pi\) | |||||||
\(660\) | −0.170973 | − | 0.434263i | −0.00665510 | − | 0.0169037i | ||||
\(661\) | 23.3092 | − | 4.11003i | 0.906621 | − | 0.159862i | 0.299152 | − | 0.954205i | \(-0.403296\pi\) |
0.607469 | + | 0.794344i | \(0.292185\pi\) | |||||||
\(662\) | −9.49932 | − | 26.0992i | −0.369202 | − | 1.01437i | ||||
\(663\) | −1.66356 | − | 0.248920i | −0.0646075 | − | 0.00966727i | ||||
\(664\) | − | 2.93415i | − | 0.113867i | ||||||
\(665\) | 2.01564 | − | 1.18061i | 0.0781632 | − | 0.0457822i | ||||
\(666\) | 24.4857 | + | 12.4870i | 0.948802 | + | 0.483860i | ||||
\(667\) | −0.803718 | + | 0.957834i | −0.0311201 | + | 0.0370875i | ||||
\(668\) | 7.28457 | − | 2.65137i | 0.281848 | − | 0.102584i | ||||
\(669\) | −1.93383 | + | 1.71030i | −0.0747663 | + | 0.0661242i | ||||
\(670\) | 0.995587 | − | 5.64625i | 0.0384629 | − | 0.218134i | ||||
\(671\) | −0.985151 | + | 2.70668i | −0.0380313 | + | 0.104490i | ||||
\(672\) | 0.815651 | + | 0.443048i | 0.0314644 | + | 0.0170910i | ||||
\(673\) | 2.45755 | + | 1.41887i | 0.0947315 | + | 0.0546933i | 0.546617 | − | 0.837383i | \(-0.315915\pi\) |
−0.451886 | + | 0.892076i | \(0.649249\pi\) | |||||||
\(674\) | −0.505586 | − | 0.602534i | −0.0194744 | − | 0.0232087i | ||||
\(675\) | 3.64007 | + | 3.70808i | 0.140107 | + | 0.142724i | ||||
\(676\) | −4.69079 | + | 8.12468i | −0.180415 | + | 0.312488i | ||||
\(677\) | −17.1962 | − | 29.7847i | −0.660904 | − | 1.14472i | −0.980379 | − | 0.197124i | \(-0.936840\pi\) |
0.319475 | − | 0.947595i | \(-0.396493\pi\) | |||||||
\(678\) | −5.52453 | + | 1.12297i | −0.212168 | + | 0.0431273i | ||||
\(679\) | −1.13170 | − | 0.199549i | −0.0434306 | − | 0.00765799i | ||||
\(680\) | 0.0886538 | + | 0.502781i | 0.00339972 | + | 0.0192808i | ||||
\(681\) | 1.88418 | − | 2.36789i | 0.0722021 | − | 0.0907377i | ||||
\(682\) | 1.45510 | + | 1.22097i | 0.0557185 | + | 0.0467534i | ||||
\(683\) | 5.84698 | 0.223729 | 0.111864 | − | 0.993723i | \(-0.464318\pi\) | ||||
0.111864 | + | 0.993723i | \(0.464318\pi\) | |||||||
\(684\) | −7.18674 | − | 10.9248i | −0.274792 | − | 0.417719i | ||||
\(685\) | −3.58950 | −0.137148 | ||||||||
\(686\) | 5.62946 | + | 4.72368i | 0.214934 | + | 0.180351i | ||||
\(687\) | 13.0862 | − | 16.4457i | 0.499271 | − | 0.627443i | ||||
\(688\) | −1.13925 | − | 6.46098i | −0.0434333 | − | 0.246323i | ||||
\(689\) | 10.6873 | + | 1.88446i | 0.407155 | + | 0.0717924i | ||||
\(690\) | 0.395661 | − | 0.0804256i | 0.0150625 | − | 0.00306175i | ||||
\(691\) | −1.28333 | − | 2.22280i | −0.0488203 | − | 0.0845593i | 0.840583 | − | 0.541683i | \(-0.182213\pi\) |
−0.889403 | + | 0.457124i | \(0.848880\pi\) | |||||||
\(692\) | 9.91147 | − | 17.1672i | 0.376778 | − | 0.652598i | ||||
\(693\) | 0.422135 | − | 0.0973012i | 0.0160356 | − | 0.00369617i | ||||
\(694\) | 11.6402 | + | 13.8722i | 0.441855 | + | 0.526583i | ||||
\(695\) | −12.0154 | − | 6.93710i | −0.455770 | − | 0.263139i | ||||
\(696\) | 8.16395 | + | 4.43452i | 0.309454 | + | 0.168090i | ||||
\(697\) | 2.02850 | − | 5.57325i | 0.0768348 | − | 0.211102i | ||||
\(698\) | 1.73123 | − | 9.81832i | 0.0655282 | − | 0.371629i | ||||
\(699\) | 23.9464 | − | 21.1785i | 0.905736 | − | 0.801043i | ||||
\(700\) | 0.503585 | − | 0.183290i | 0.0190337 | − | 0.00692770i | ||||
\(701\) | 33.6892 | − | 40.1492i | 1.27242 | − | 1.51641i | 0.526910 | − | 0.849921i | \(-0.323351\pi\) |
0.745512 | − | 0.666492i | \(-0.232205\pi\) | |||||||
\(702\) | 9.85414 | − | 0.770305i | 0.371921 | − | 0.0290733i | ||||
\(703\) | −39.2852 | + | 7.18085i | −1.48167 | + | 0.270831i | ||||
\(704\) | 0.269454i | 0.0101554i | ||||||||
\(705\) | 15.5479 | + | 2.32644i | 0.585567 | + | 0.0876188i | ||||
\(706\) | −4.85899 | − | 13.3500i | −0.182870 | − | 0.502432i | ||||
\(707\) | 0.950059 | − | 0.167521i | 0.0357307 | − | 0.00630028i | ||||
\(708\) | 4.08981 | + | 10.3880i | 0.153705 | + | 0.390403i | ||||
\(709\) | 42.3775 | + | 15.4242i | 1.59152 | + | 0.579266i | 0.977668 | − | 0.210154i | \(-0.0673966\pi\) |
0.613853 | + | 0.789421i | \(0.289619\pi\) | |||||||
\(710\) | −5.55721 | + | 3.20846i | −0.208558 | + | 0.120411i | ||||
\(711\) | 17.2873 | − | 11.2179i | 0.648326 | − | 0.420704i | ||||
\(712\) | −0.797850 | + | 0.669475i | −0.0299007 | + | 0.0250896i | ||||
\(713\) | −1.25881 | + | 1.05627i | −0.0471429 | + | 0.0395576i | ||||
\(714\) | −0.473726 | + | 0.0123216i | −0.0177288 | + | 0.000461123i | ||||
\(715\) | −0.443890 | + | 0.256280i | −0.0166005 | + | 0.00958432i | ||||
\(716\) | −4.28627 | − | 1.56007i | −0.160185 | − | 0.0583027i | ||||
\(717\) | −2.22760 | + | 0.877023i | −0.0831913 | + | 0.0327530i | ||||
\(718\) | 22.5944 | − | 3.98401i | 0.843216 | − | 0.148682i | ||||
\(719\) | −1.71739 | − | 4.71850i | −0.0640480 | − | 0.175970i | 0.903540 | − | 0.428503i | \(-0.140959\pi\) |
−0.967588 | + | 0.252532i | \(0.918737\pi\) | |||||||
\(720\) | −1.17122 | − | 2.76193i | −0.0436489 | − | 0.102931i | ||||
\(721\) | − | 0.273026i | − | 0.0101680i | ||||||
\(722\) | 17.9341 | + | 6.27439i | 0.667438 | + | 0.233508i | ||||
\(723\) | 11.3931 | + | 18.5992i | 0.423715 | + | 0.691713i | ||||
\(724\) | 14.2151 | − | 16.9409i | 0.528301 | − | 0.629604i | ||||
\(725\) | 5.04044 | − | 1.83457i | 0.187197 | − | 0.0681342i | ||||
\(726\) | −12.5388 | − | 14.1775i | −0.465358 | − | 0.526178i | ||||
\(727\) | 9.29339 | − | 52.7054i | 0.344673 | − | 1.95474i | 0.0515112 | − | 0.998672i | \(-0.483596\pi\) |
0.293161 | − | 0.956063i | \(-0.405293\pi\) | |||||||
\(728\) | 0.348657 | − | 0.957927i | 0.0129221 | − | 0.0355031i | ||||
\(729\) | 16.9695 | + | 21.0009i | 0.628500 | + | 0.777810i | ||||
\(730\) | −4.88369 | − | 2.81960i | −0.180754 | − | 0.104358i | ||||
\(731\) | 2.15299 | + | 2.56583i | 0.0796312 | + | 0.0949007i | ||||
\(732\) | −5.87803 | + | 17.5573i | −0.217258 | + | 0.648937i | ||||
\(733\) | 6.59099 | − | 11.4159i | 0.243444 | − | 0.421657i | −0.718249 | − | 0.695786i | \(-0.755056\pi\) |
0.961693 | + | 0.274129i | \(0.0883896\pi\) | |||||||
\(734\) | −12.9595 | − | 22.4465i | −0.478343 | − | 0.828515i | ||||
\(735\) | −2.31603 | − | 11.3939i | −0.0854281 | − | 0.420271i | ||||
\(736\) | −0.229565 | − | 0.0404785i | −0.00846187 | − | 0.00149206i | ||||
\(737\) | 0.268265 | + | 1.52140i | 0.00988166 | + | 0.0560417i | ||||
\(738\) | −4.25945 | + | 34.5899i | −0.156793 | + | 1.27327i | ||||
\(739\) | −39.8791 | − | 33.4625i | −1.46698 | − | 1.23094i | −0.918888 | − | 0.394519i | \(-0.870911\pi\) |
−0.548088 | − | 0.836420i | \(-0.684644\pi\) | |||||||
\(740\) | −9.16197 | −0.336801 | ||||||||
\(741\) | −10.6980 | + | 9.58141i | −0.393000 | + | 0.351982i | ||||
\(742\) | 3.05735 | 0.112239 | ||||||||
\(743\) | 11.1192 | + | 9.33008i | 0.407922 | + | 0.342288i | 0.823546 | − | 0.567249i | \(-0.191992\pi\) |
−0.415624 | + | 0.909537i | \(0.636437\pi\) | |||||||
\(744\) | 9.55426 | + | 7.60255i | 0.350276 | + | 0.278723i | ||||
\(745\) | −3.11961 | − | 17.6922i | −0.114294 | − | 0.648191i | ||||
\(746\) | −11.9093 | − | 2.09994i | −0.436032 | − | 0.0768842i | ||||
\(747\) | −6.00100 | − | 6.43982i | −0.219565 | − | 0.235621i | ||||
\(748\) | −0.0687831 | − | 0.119136i | −0.00251496 | − | 0.00435604i | ||||
\(749\) | −1.61011 | + | 2.78879i | −0.0588321 | + | 0.101900i | ||||
\(750\) | −1.64245 | − | 0.549877i | −0.0599737 | − | 0.0200787i | ||||
\(751\) | −2.40354 | − | 2.86443i | −0.0877065 | − | 0.104524i | 0.720406 | − | 0.693552i | \(-0.243955\pi\) |
−0.808113 | + | 0.589028i | \(0.799511\pi\) | |||||||
\(752\) | −7.86048 | − | 4.53825i | −0.286642 | − | 0.165493i | ||||
\(753\) | 22.4925 | − | 41.4086i | 0.819671 | − | 1.50901i | ||||
\(754\) | 3.48975 | − | 9.58800i | 0.127089 | − | 0.349174i | ||||
\(755\) | −0.643273 | + | 3.64818i | −0.0234111 | + | 0.132771i | ||||
\(756\) | 2.69631 | − | 0.695794i | 0.0980637 | − | 0.0253058i | ||||
\(757\) | −29.2090 | + | 10.6312i | −1.06162 | + | 0.386398i | −0.813037 | − | 0.582212i | \(-0.802187\pi\) |
−0.248583 | + | 0.968611i | \(0.579965\pi\) | |||||||
\(758\) | −6.05169 | + | 7.21212i | −0.219807 | + | 0.261956i | ||||
\(759\) | −0.0927709 | + | 0.0568276i | −0.00336737 | + | 0.00206271i | ||||
\(760\) | 3.78848 | + | 2.15578i | 0.137423 | + | 0.0781984i | ||||
\(761\) | 1.83211i | 0.0664138i | 0.999448 | + | 0.0332069i | \(0.0105720\pi\) | ||||
−0.999448 | + | 0.0332069i | \(0.989428\pi\) | |||||||
\(762\) | 1.29133 | − | 8.63010i | 0.0467799 | − | 0.312636i | ||||
\(763\) | 1.51788 | + | 4.17034i | 0.0549509 | + | 0.150976i | ||||
\(764\) | 4.36476 | − | 0.769624i | 0.157911 | − | 0.0278440i | ||||
\(765\) | 1.22287 | + | 0.922177i | 0.0442131 | + | 0.0333414i | ||||
\(766\) | −19.6447 | − | 7.15008i | −0.709791 | − | 0.258343i | ||||
\(767\) | 10.6182 | − | 6.13043i | 0.383402 | − | 0.221357i | ||||
\(768\) | 0.0450352 | + | 1.73147i | 0.00162507 | + | 0.0624789i | ||||
\(769\) | 26.5280 | − | 22.2597i | 0.956625 | − | 0.802704i | −0.0237758 | − | 0.999717i | \(-0.507569\pi\) |
0.980401 | + | 0.197014i | \(0.0631243\pi\) | |||||||
\(770\) | −0.110618 | + | 0.0928194i | −0.00398639 | + | 0.00334498i | ||||
\(771\) | 1.40251 | + | 53.9222i | 0.0505102 | + | 1.94196i | ||||
\(772\) | −15.8784 | + | 9.16741i | −0.571477 | + | 0.329942i | ||||
\(773\) | −14.5009 | − | 5.27790i | −0.521561 | − | 0.189833i | 0.0678053 | − | 0.997699i | \(-0.478400\pi\) |
−0.589366 | + | 0.807866i | \(0.700623\pi\) | |||||||
\(774\) | −15.7145 | − | 11.8504i | −0.564848 | − | 0.425955i | ||||
\(775\) | 6.94232 | − | 1.22412i | 0.249375 | − | 0.0439716i | ||||
\(776\) | −0.733406 | − | 2.01502i | −0.0263277 | − | 0.0723349i | ||||
\(777\) | 1.25849 | − | 8.41062i | 0.0451480 | − | 0.301729i | ||||
\(778\) | − | 25.6051i | − | 0.917987i | ||||||
\(779\) | −25.5927 | − | 43.6940i | −0.916955 | − | 1.56550i | ||||
\(780\) | −2.80953 | + | 1.72100i | −0.100597 | + | 0.0616217i | ||||
\(781\) | 1.11142 | − | 1.32454i | 0.0397697 | − | 0.0473957i | ||||
\(782\) | 0.111832 | − | 0.0407036i | 0.00399911 | − | 0.00145556i | ||||
\(783\) | 26.9877 | − | 6.96429i | 0.964460 | − | 0.248883i | ||||
\(784\) | −1.16567 | + | 6.61082i | −0.0416310 | + | 0.236101i | ||||
\(785\) | 0.217958 | − | 0.598833i | 0.00777924 | − | 0.0213733i | ||||
\(786\) | −1.75689 | + | 3.23444i | −0.0626663 | + | 0.115369i | ||||
\(787\) | 45.4685 | + | 26.2512i | 1.62078 | + | 0.935755i | 0.986713 | + | 0.162474i | \(0.0519474\pi\) |
0.634063 | + | 0.773281i | \(0.281386\pi\) | |||||||
\(788\) | 12.8770 | + | 15.3462i | 0.458725 | + | 0.546687i | ||||
\(789\) | 40.4115 | + | 13.5294i | 1.43869 | + | 0.481660i | ||||
\(790\) | −3.43468 | + | 5.94904i | −0.122200 | + | 0.211657i | ||||
\(791\) | 0.872134 | + | 1.51058i | 0.0310095 | + | 0.0537101i | ||||
\(792\) | 0.551093 | + | 0.591392i | 0.0195823 | + | 0.0210142i | ||||
\(793\) | 20.0252 | + | 3.53099i | 0.711117 | + | 0.125389i | ||||
\(794\) | 5.40837 | + | 30.6724i | 0.191936 | + | 1.08852i | ||||
\(795\) | −7.73218 | − | 6.15268i | −0.274232 | − | 0.218213i | ||||
\(796\) | 2.55436 | + | 2.14336i | 0.0905367 | + | 0.0759693i | ||||
\(797\) | −45.9715 | −1.62839 | −0.814197 | − | 0.580588i | \(-0.802823\pi\) | ||||
−0.814197 | + | 0.580588i | \(0.802823\pi\) | |||||||
\(798\) | −2.49938 | + | 3.18168i | −0.0884770 | + | 0.112630i | ||||
\(799\) | 4.63389 | 0.163935 | ||||||||
\(800\) | 0.766044 | + | 0.642788i | 0.0270838 | + | 0.0227260i | ||||
\(801\) | −0.381879 | + | 3.10113i | −0.0134930 | + | 0.109573i | ||||
\(802\) | −1.37281 | − | 7.78561i | −0.0484757 | − | 0.274919i | ||||
\(803\) | 1.49642 | + | 0.263859i | 0.0528076 | + | 0.00931140i | ||||
\(804\) | 1.97810 | + | 9.73145i | 0.0697623 | + | 0.343202i | ||||
\(805\) | −0.0624612 | − | 0.108186i | −0.00220147 | − | 0.00381306i | ||||
\(806\) | 6.70475 | − | 11.6130i | 0.236165 | − | 0.409050i | ||||
\(807\) | −14.5757 | + | 43.5368i | −0.513090 | + | 1.53257i | ||||
\(808\) | 1.15712 | + | 1.37901i | 0.0407075 | + | 0.0485133i | ||||
\(809\) | 12.2648 | + | 7.08110i | 0.431208 | + | 0.248958i | 0.699861 | − | 0.714279i | \(-0.253245\pi\) |
−0.268653 | + | 0.963237i | \(0.586578\pi\) | |||||||
\(810\) | −8.21933 | − | 3.66641i | −0.288798 | − | 0.128825i | ||||
\(811\) | −11.7186 | + | 32.1965i | −0.411494 | + | 1.13057i | 0.544902 | + | 0.838500i | \(0.316567\pi\) |
−0.956396 | + | 0.292072i | \(0.905655\pi\) | |||||||
\(812\) | 0.499160 | − | 2.83087i | 0.0175171 | − | 0.0993442i | ||||
\(813\) | 11.0633 | + | 12.5092i | 0.388007 | + | 0.438717i | ||||
\(814\) | 2.31985 | − | 0.844355i | 0.0813105 | − | 0.0295946i | ||||
\(815\) | 7.46686 | − | 8.89866i | 0.261553 | − | 0.311706i | ||||
\(816\) | −0.461900 | − | 0.754050i | −0.0161697 | − | 0.0263970i | ||||
\(817\) | 28.5967 | − | 0.178985i | 1.00047 | − | 0.00626188i | ||||
\(818\) | − | 22.4690i | − | 0.785611i | ||||||
\(819\) | −1.19395 | − | 2.81552i | −0.0417199 | − | 0.0983822i | ||||
\(820\) | −3.97326 | − | 10.9164i | −0.138752 | − | 0.381219i | ||||
\(821\) | 4.02142 | − | 0.709085i | 0.140349 | − | 0.0247472i | −0.103032 | − | 0.994678i | \(-0.532855\pi\) |
0.243381 | + | 0.969931i | \(0.421743\pi\) | |||||||
\(822\) | 5.78499 | − | 2.27759i | 0.201775 | − | 0.0794401i | ||||
\(823\) | −12.9801 | − | 4.72436i | −0.452457 | − | 0.164681i | 0.105732 | − | 0.994395i | \(-0.466281\pi\) |
−0.558189 | + | 0.829714i | \(0.688504\pi\) | |||||||
\(824\) | 0.441213 | − | 0.254735i | 0.0153704 | − | 0.00887410i | ||||
\(825\) | 0.466550 | − | 0.0121349i | 0.0162432 | − | 0.000422483i | ||||
\(826\) | 2.64607 | − | 2.22032i | 0.0920687 | − | 0.0772548i | ||||
\(827\) | 6.94845 | − | 5.83044i | 0.241621 | − | 0.202744i | −0.513933 | − | 0.857830i | \(-0.671812\pi\) |
0.755554 | + | 0.655086i | \(0.227368\pi\) | |||||||
\(828\) | −0.586632 | + | 0.380670i | −0.0203869 | + | 0.0132292i | ||||
\(829\) | 0.0499853 | − | 0.0288590i | 0.00173606 | − | 0.00100231i | −0.499132 | − | 0.866526i | \(-0.666348\pi\) |
0.500868 | + | 0.865524i | \(0.333014\pi\) | |||||||
\(830\) | 2.75720 | + | 1.00354i | 0.0957039 | + | 0.0348334i | ||||
\(831\) | −5.45897 | − | 13.8655i | −0.189369 | − | 0.480990i | ||||
\(832\) | 1.87332 | − | 0.330316i | 0.0649456 | − | 0.0114517i | ||||
\(833\) | −1.17215 | − | 3.22045i | −0.0406126 | − | 0.111582i | ||||
\(834\) | 23.7662 | + | 3.55616i | 0.822958 | + | 0.123140i | ||||
\(835\) | 7.75207i | 0.268272i | ||||||||
\(836\) | −1.15793 | − | 0.196710i | −0.0400479 | − | 0.00680337i | ||||
\(837\) | 36.5184 | − | 2.85467i | 1.26226 | − | 0.0986719i | ||||
\(838\) | 11.7589 | − | 14.0137i | 0.406205 | − | 0.484097i | ||||
\(839\) | −43.2559 | + | 15.7439i | −1.49336 | + | 0.543539i | −0.954332 | − | 0.298749i | \(-0.903431\pi\) |
−0.539028 | + | 0.842288i | \(0.681208\pi\) | |||||||
\(840\) | −0.695298 | + | 0.614930i | −0.0239901 | + | 0.0212171i | ||||
\(841\) | −0.0396507 | + | 0.224871i | −0.00136727 | + | 0.00775416i | ||||
\(842\) | 12.7447 | − | 35.0157i | 0.439211 | − | 1.20672i | ||||
\(843\) | 34.8340 | + | 18.9213i | 1.19975 | + | 0.651683i | ||||
\(844\) | −8.83975 | − | 5.10363i | −0.304277 | − | 0.175674i | ||||
\(845\) | −6.03036 | − | 7.18670i | −0.207451 | − | 0.247230i | ||||
\(846\) | −26.5338 | + | 6.11597i | −0.912249 | + | 0.210271i | ||||
\(847\) | −2.92802 | + | 5.07147i | −0.100608 | + | 0.174258i | ||||
\(848\) | 2.85251 | + | 4.94070i | 0.0979557 | + | 0.169664i | ||||
\(849\) | −38.2334 | + | 7.77166i | −1.31217 | + | 0.266723i | ||||
\(850\) | −0.502781 | − | 0.0886538i | −0.0172452 | − | 0.00304080i | ||||
\(851\) | 0.370862 | + | 2.10327i | 0.0127130 | + | 0.0720990i | ||||
\(852\) | 6.92042 | − | 8.69702i | 0.237090 | − | 0.297955i | ||||
\(853\) | 4.36087 | + | 3.65921i | 0.149313 | + | 0.125289i | 0.714384 | − | 0.699753i | \(-0.246707\pi\) |
−0.565071 | + | 0.825042i | \(0.691151\pi\) | |||||||
\(854\) | 5.72866 | 0.196031 | ||||||||
\(855\) | 12.7239 | − | 3.01683i | 0.435150 | − | 0.103173i | ||||
\(856\) | −6.00895 | −0.205382 | ||||||||
\(857\) | 3.14858 | + | 2.64197i | 0.107553 | + | 0.0902481i | 0.694979 | − | 0.719031i | \(-0.255414\pi\) |
−0.587425 | + | 0.809279i | \(0.699858\pi\) | |||||||
\(858\) | 0.552778 | − | 0.694686i | 0.0188715 | − | 0.0237162i | ||||
\(859\) | 2.80941 | + | 15.9330i | 0.0958560 | + | 0.543626i | 0.994482 | + | 0.104910i | \(0.0334555\pi\) |
−0.898626 | + | 0.438716i | \(0.855433\pi\) | |||||||
\(860\) | 6.46098 | + | 1.13925i | 0.220318 | + | 0.0388480i | ||||
\(861\) | 10.5670 | − | 2.14794i | 0.360122 | − | 0.0732016i | ||||
\(862\) | 9.33534 | + | 16.1693i | 0.317963 | + | 0.550728i | ||||
\(863\) | 0.0867373 | − | 0.150233i | 0.00295257 | − | 0.00511400i | −0.864545 | − | 0.502555i | \(-0.832393\pi\) |
0.867498 | + | 0.497441i | \(0.165727\pi\) | |||||||
\(864\) | 3.64007 | + | 3.70808i | 0.123838 | + | 0.126151i | ||||
\(865\) | 12.7419 | + | 15.1853i | 0.433239 | + | 0.516314i | ||||
\(866\) | −9.57965 | − | 5.53081i | −0.325530 | − | 0.187945i | ||||
\(867\) | −25.4775 | − | 13.8389i | −0.865260 | − | 0.469995i | ||||
\(868\) | 1.29209 | − | 3.54998i | 0.0438563 | − | 0.120494i | ||||
\(869\) | 0.321419 | − | 1.82286i | 0.0109034 | − | 0.0618362i | ||||
\(870\) | −6.95932 | + | 6.15490i | −0.235943 | + | 0.208671i | ||||
\(871\) | 10.2484 | − | 3.73010i | 0.347252 | − | 0.126390i | ||||
\(872\) | −5.32312 | + | 6.34385i | −0.180264 | + | 0.214830i | ||||
\(873\) | −5.73083 | − | 2.92254i | −0.193959 | − | 0.0989130i | ||||
\(874\) | 0.341539 | − | 0.956966i | 0.0115527 | − | 0.0323698i | ||||
\(875\) | 0.535904i | 0.0181168i | ||||||||
\(876\) | 9.65985 | + | 1.44541i | 0.326376 | + | 0.0488359i | ||||
\(877\) | 12.6134 | + | 34.6551i | 0.425925 | + | 1.17022i | 0.948264 | + | 0.317482i | \(0.102837\pi\) |
−0.522339 | + | 0.852738i | \(0.674941\pi\) | |||||||
\(878\) | −36.3804 | + | 6.41485i | −1.22778 | + | 0.216491i | ||||
\(879\) | 18.0005 | + | 45.7204i | 0.607140 | + | 1.54211i | ||||
\(880\) | −0.253204 | − | 0.0921587i | −0.00853550 | − | 0.00310667i | ||||
\(881\) | −35.3271 | + | 20.3961i | −1.19020 | + | 0.687162i | −0.958352 | − | 0.285590i | \(-0.907811\pi\) |
−0.231848 | + | 0.972752i | \(0.574477\pi\) | |||||||
\(882\) | 10.9622 | + | 16.8934i | 0.369117 | + | 0.568829i | ||||
\(883\) | −42.6901 | + | 35.8212i | −1.43664 | + | 1.20548i | −0.494979 | + | 0.868905i | \(0.664824\pi\) |
−0.941656 | + | 0.336576i | \(0.890731\pi\) | |||||||
\(884\) | −0.743945 | + | 0.624244i | −0.0250216 | + | 0.0209956i | ||||
\(885\) | −11.1603 | + | 0.290278i | −0.375149 | + | 0.00975757i | ||||
\(886\) | −17.9170 | + | 10.3444i | −0.601934 | + | 0.347527i | ||||
\(887\) | −15.7565 | − | 5.73489i | −0.529051 | − | 0.192559i | 0.0636635 | − | 0.997971i | \(-0.479722\pi\) |
−0.592715 | + | 0.805413i | \(0.701944\pi\) | |||||||
\(888\) | 14.7658 | − | 5.81341i | 0.495508 | − | 0.195085i | ||||
\(889\) | −2.65890 | + | 0.468835i | −0.0891766 | + | 0.0157242i | ||||
\(890\) | −0.356220 | − | 0.978707i | −0.0119405 | − | 0.0328063i | ||||
\(891\) | 2.41906 | + | 0.170868i | 0.0810415 | + | 0.00572428i | ||||
\(892\) | 1.49051i | 0.0499059i | ||||||||
\(893\) | 25.2408 | − | 30.4660i | 0.844650 | − | 1.01951i | ||||
\(894\) | 16.2537 | + | 26.5340i | 0.543603 | + | 0.887431i | ||||
\(895\) | 2.93198 | − | 3.49420i | 0.0980052 | − | 0.116798i | ||||
\(896\) | 0.503585 | − | 0.183290i | 0.0168236 | − | 0.00612328i | ||||
\(897\) | 0.508806 | + | 0.575305i | 0.0169886 | + | 0.0192089i | ||||
\(898\) | 6.85472 | − | 38.8750i | 0.228745 | − | 1.29728i | ||||
\(899\) | 12.9326 | − | 35.5321i | 0.431328 | − | 1.18506i | ||||
\(900\) | 2.99594 | − | 0.155954i | 0.0998648 | − | 0.00519846i | ||||
\(901\) | −2.52241 | − | 1.45631i | −0.0840336 | − | 0.0485168i | ||||
\(902\) | 2.01209 | + | 2.39792i | 0.0669953 | + | 0.0798419i | ||||
\(903\) | −1.93330 | + | 5.77465i | −0.0643362 | + | 0.192168i | ||||
\(904\) | −1.62741 | + | 2.81875i | −0.0541268 | + | 0.0937504i | ||||
\(905\) | 11.0574 | + | 19.1520i | 0.367560 | + | 0.636633i | ||||
\(906\) | −1.27810 | − | 6.28773i | −0.0424621 | − | 0.208896i | ||||
\(907\) | 50.4920 | + | 8.90310i | 1.67656 | + | 0.295623i | 0.929414 | − | 0.369038i | \(-0.120313\pi\) |
0.747145 | + | 0.664661i | \(0.231424\pi\) | |||||||
\(908\) | −0.303380 | − | 1.72055i | −0.0100680 | − | 0.0570986i | ||||
\(909\) | 5.36001 | + | 0.660041i | 0.177780 | + | 0.0218922i | ||||
\(910\) | 0.780909 | + | 0.655261i | 0.0258869 | + | 0.0217217i | ||||
\(911\) | 12.0852 | 0.400402 | 0.200201 | − | 0.979755i | \(-0.435840\pi\) | ||||
0.200201 | + | 0.979755i | \(0.435840\pi\) | |||||||
\(912\) | −7.47356 | − | 1.07050i | −0.247474 | − | 0.0354476i | ||||
\(913\) | −0.790619 | −0.0261657 | ||||||||
\(914\) | −1.48065 | − | 1.24241i | −0.0489756 | − | 0.0410954i | ||||
\(915\) | −14.4881 | − | 11.5285i | −0.478961 | − | 0.381120i | ||||
\(916\) | −2.10707 | − | 11.9498i | −0.0696195 | − | 0.394832i | ||||
\(917\) | 1.12155 | + | 0.197760i | 0.0370369 | + | 0.00653061i | ||||
\(918\) | −2.55597 | − | 0.710286i | −0.0843596 | − | 0.0234429i | ||||
\(919\) | −21.6936 | − | 37.5744i | −0.715606 | − | 1.23947i | −0.962725 | − | 0.270480i | \(-0.912817\pi\) |
0.247120 | − | 0.968985i | \(-0.420516\pi\) | |||||||
\(920\) | 0.116553 | − | 0.201876i | 0.00384264 | − | 0.00665565i | ||||
\(921\) | −43.4871 | − | 14.5591i | −1.43295 | − | 0.479738i | ||||
\(922\) | 11.1048 | + | 13.2342i | 0.365719 | + | 0.435846i | ||||
\(923\) | −10.5710 | − | 6.10318i | −0.347949 | − | 0.200888i | ||||
\(924\) | 0.119381 | − | 0.219780i | 0.00392735 | − | 0.00723024i | ||||
\(925\) | 3.13358 | − | 8.60943i | 0.103031 | − | 0.283076i | ||||
\(926\) | −3.67661 | + | 20.8511i | −0.120821 | + | 0.685209i | ||||
\(927\) | 0.447377 | − | 1.46147i | 0.0146938 | − | 0.0480008i | ||||
\(928\) | 5.04044 | − | 1.83457i | 0.165460 | − | 0.0602227i | ||||
\(929\) | 4.89409 | − | 5.83255i | 0.160570 | − | 0.191360i | −0.679761 | − | 0.733434i | \(-0.737916\pi\) |
0.840331 | + | 0.542074i | \(0.182361\pi\) | |||||||
\(930\) | −10.4118 | + | 6.37785i | −0.341417 | + | 0.209138i | ||||
\(931\) | −27.5579 | − | 9.83538i | −0.903175 | − | 0.322341i | ||||
\(932\) | − | 18.4568i | − | 0.604572i | ||||||
\(933\) | −1.27605 | + | 8.52795i | −0.0417758 | + | 0.279193i | ||||
\(934\) | 1.11268 | + | 3.05707i | 0.0364081 | + | 0.100030i | ||||
\(935\) | 0.135476 | − | 0.0238881i | 0.00443055 | − | 0.000781225i | ||||
\(936\) | 3.43595 | − | 4.55632i | 0.112308 | − | 0.148928i | ||||
\(937\) | 28.7357 | + | 10.4589i | 0.938755 | + | 0.341679i | 0.765674 | − | 0.643229i | \(-0.222406\pi\) |
0.173081 | + | 0.984908i | \(0.444628\pi\) | |||||||
\(938\) | 2.66088 | − | 1.53626i | 0.0868810 | − | 0.0501608i | ||||
\(939\) | −0.602180 | − | 23.1520i | −0.0196514 | − | 0.755536i | ||||
\(940\) | 6.95300 | − | 5.83426i | 0.226782 | − | 0.190293i | ||||
\(941\) | 0.601892 | − | 0.505047i | 0.0196211 | − | 0.0164641i | −0.632924 | − | 0.774214i | \(-0.718146\pi\) |
0.652545 | + | 0.757750i | \(0.273701\pi\) | |||||||
\(942\) | 0.0286994 | + | 1.10340i | 0.000935076 | + | 0.0359508i | ||||
\(943\) | −2.34520 | + | 1.35400i | −0.0763703 | + | 0.0440924i | ||||
\(944\) | 6.05686 | + | 2.20452i | 0.197134 | + | 0.0717509i | ||||
\(945\) | −0.268358 | + | 2.77168i | −0.00872970 | + | 0.0901626i | ||||
\(946\) | −1.74094 | + | 0.306974i | −0.0566028 | + | 0.00998059i | ||||
\(947\) | −5.55338 | − | 15.2578i | −0.180461 | − | 0.495811i | 0.816172 | − | 0.577809i | \(-0.196092\pi\) |
−0.996633 | + | 0.0819977i | \(0.973870\pi\) | |||||||
\(948\) | 1.76072 | − | 11.7671i | 0.0571855 | − | 0.382177i | ||||
\(949\) | − | 10.7270i | − | 0.348213i | ||||||
\(950\) | −3.32151 | + | 2.82269i | −0.107764 | + | 0.0915802i | ||||
\(951\) | 19.0382 | − | 11.6620i | 0.617356 | − | 0.378167i | ||||
\(952\) | −0.175866 | + | 0.209589i | −0.00569984 | + | 0.00679281i | ||||
\(953\) | 31.9078 | − | 11.6135i | 1.03359 | − | 0.376198i | 0.231146 | − | 0.972919i | \(-0.425753\pi\) |
0.802448 | + | 0.596722i | \(0.203530\pi\) | |||||||
\(954\) | 16.3655 | + | 5.00972i | 0.529852 | + | 0.162196i | ||||
\(955\) | −0.769624 | + | 4.36476i | −0.0249045 | + | 0.141240i | ||||
\(956\) | −0.472738 | + | 1.29884i | −0.0152894 | + | 0.0420074i | ||||
\(957\) | 1.19490 | − | 2.19981i | 0.0386256 | − | 0.0711097i | ||||
\(958\) | 10.3325 | + | 5.96550i | 0.333829 | + | 0.192736i | ||||
\(959\) | −1.23648 | − | 1.47358i | −0.0399281 | − | 0.0475844i | ||||
\(960\) | −1.64245 | − | 0.549877i | −0.0530098 | − | 0.0177472i | ||||
\(961\) | 9.34712 | − | 16.1897i | 0.301520 | − | 0.522248i | ||||
\(962\) | −8.71402 | − | 15.0931i | −0.280951 | − | 0.486622i | ||||
\(963\) | −13.1883 | + | 12.2896i | −0.424988 | + | 0.396028i | ||||
\(964\) | 12.4015 | + | 2.18671i | 0.399424 | + | 0.0704293i | ||||
\(965\) | −3.18381 | − | 18.0563i | −0.102490 | − | 0.581252i | ||||
\(966\) | 0.169311 | + | 0.134725i | 0.00544749 | + | 0.00433469i | ||||
\(967\) | −29.4137 | − | 24.6810i | −0.945881 | − | 0.793688i | 0.0327184 | − | 0.999465i | \(-0.489584\pi\) |
−0.978599 | + | 0.205777i | \(0.934028\pi\) | |||||||
\(968\) | −10.9274 | −0.351220 | ||||||||
\(969\) | 3.57761 | − | 1.43446i | 0.114929 | − | 0.0460814i | ||||
\(970\) | 2.14434 | 0.0688505 | ||||||||
\(971\) | −40.3116 | − | 33.8254i | −1.29366 | − | 1.08551i | −0.991203 | − | 0.132347i | \(-0.957749\pi\) |
−0.302457 | − | 0.953163i | \(-0.597807\pi\) | |||||||
\(972\) | 15.5730 | + | 0.693657i | 0.499505 | + | 0.0222491i | ||||
\(973\) | −1.29111 | − | 7.32228i | −0.0413912 | − | 0.234741i | ||||
\(974\) | −7.51644 | − | 1.32535i | −0.240842 | − | 0.0424670i | ||||
\(975\) | −0.656296 | − | 3.22871i | −0.0210183 | − | 0.103401i | ||||
\(976\) | 5.34486 | + | 9.25757i | 0.171085 | + | 0.296328i | ||||
\(977\) | −23.3057 | + | 40.3667i | −0.745617 | + | 1.29145i | 0.204289 | + | 0.978911i | \(0.434512\pi\) |
−0.949906 | + | 0.312536i | \(0.898822\pi\) | |||||||
\(978\) | −6.38757 | + | 19.0793i | −0.204252 | + | 0.610089i | ||||
\(979\) | 0.180393 | + | 0.214984i | 0.00576538 | + | 0.00687091i | ||||
\(980\) | −5.81346 | − | 3.35640i | −0.185704 | − | 0.107216i | ||||
\(981\) | 1.29150 | + | 24.8103i | 0.0412345 | + | 0.792133i | ||||
\(982\) | 12.5691 | − | 34.5334i | 0.401098 | − | 1.10201i | ||||
\(983\) | −4.50298 | + | 25.5377i | −0.143623 | + | 0.814526i | 0.824840 | + | 0.565367i | \(0.191265\pi\) |
−0.968463 | + | 0.249159i | \(0.919846\pi\) | |||||||
\(984\) | 13.3301 | + | 15.0723i | 0.424949 | + | 0.480488i | ||||
\(985\) | −18.8250 | + | 6.85173i | −0.599813 | + | 0.218314i | ||||
\(986\) | −1.76026 | + | 2.09780i | −0.0560581 | + | 0.0668075i | ||||
\(987\) | 4.40074 | + | 7.18420i | 0.140077 | + | 0.228676i | ||||
\(988\) | 0.0518954 | + | 8.29140i | 0.00165101 | + | 0.263785i | ||||
\(989\) | − | 1.52933i | − | 0.0486299i | ||||||
\(990\) | −0.744212 | + | 0.315590i | −0.0236526 | + | 0.0100301i | ||||
\(991\) | −4.55250 | − | 12.5079i | −0.144615 | − | 0.397327i | 0.846145 | − | 0.532953i | \(-0.178918\pi\) |
−0.990760 | + | 0.135626i | \(0.956695\pi\) | |||||||
\(992\) | 6.94232 | − | 1.22412i | 0.220419 | − | 0.0388658i | ||||
\(993\) | −44.7620 | + | 17.6231i | −1.42048 | + | 0.559253i | ||||
\(994\) | −3.23146 | − | 1.17615i | −0.102496 | − | 0.0373054i | ||||
\(995\) | −2.88774 | + | 1.66724i | −0.0915475 | + | 0.0528550i | ||||
\(996\) | −5.08038 | + | 0.132140i | −0.160978 | + | 0.00418702i | ||||
\(997\) | 30.5216 | − | 25.6106i | 0.966628 | − | 0.811097i | −0.0153909 | − | 0.999882i | \(-0.504899\pi\) |
0.982019 | + | 0.188785i | \(0.0604548\pi\) | |||||||
\(998\) | 25.7257 | − | 21.5864i | 0.814331 | − | 0.683305i | ||||
\(999\) | 20.5180 | − | 42.9585i | 0.649161 | − | 1.35915i |
(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 | 570.2.bb.b.41.4 | yes | 84 | |
3.2 | odd | 2 | 570.2.bb.a.41.14 | ✓ | 84 | ||
19.13 | odd | 18 | 570.2.bb.a.431.14 | yes | 84 | ||
57.32 | even | 18 | inner | 570.2.bb.b.431.4 | yes | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bb.a.41.14 | ✓ | 84 | 3.2 | odd | 2 | ||
570.2.bb.a.431.14 | yes | 84 | 19.13 | odd | 18 | ||
570.2.bb.b.41.4 | yes | 84 | 1.1 | even | 1 | trivial | |
570.2.bb.b.431.4 | yes | 84 | 57.32 | even | 18 | inner |