Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(119,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.119");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.r (of order \(6\), degree \(2\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 119.19 | ||
Character | \(\chi\) | \(=\) | 930.119 |
Dual form | 930.2.r.a.719.19 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | 0.392310 | − | 1.68704i | 0.226500 | − | 0.974011i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −1.71746 | − | 1.43190i | −0.768072 | − | 0.640364i | ||||
\(6\) | −0.392310 | + | 1.68704i | −0.160160 | + | 0.688730i | ||||
\(7\) | 2.96938 | + | 1.71437i | 1.12232 | + | 0.647972i | 0.941992 | − | 0.335635i | \(-0.108951\pi\) |
0.180328 | + | 0.983607i | \(0.442284\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −2.69219 | − | 1.32368i | −0.897395 | − | 0.441228i | ||||
\(10\) | 1.71746 | + | 1.43190i | 0.543109 | + | 0.452806i | ||||
\(11\) | 3.19099 | + | 5.52696i | 0.962120 | + | 1.66644i | 0.717162 | + | 0.696906i | \(0.245441\pi\) |
0.244958 | + | 0.969534i | \(0.421226\pi\) | |||||||
\(12\) | 0.392310 | − | 1.68704i | 0.113250 | − | 0.487006i | ||||
\(13\) | 0.452539 | + | 0.783821i | 0.125512 | + | 0.217393i | 0.921933 | − | 0.387350i | \(-0.126609\pi\) |
−0.796421 | + | 0.604742i | \(0.793276\pi\) | |||||||
\(14\) | −2.96938 | − | 1.71437i | −0.793600 | − | 0.458185i | ||||
\(15\) | −3.08944 | + | 2.33567i | −0.797690 | + | 0.603068i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 2.93950 | + | 1.69712i | 0.712934 | + | 0.411612i | 0.812146 | − | 0.583454i | \(-0.198299\pi\) |
−0.0992126 | + | 0.995066i | \(0.531632\pi\) | |||||||
\(18\) | 2.69219 | + | 1.32368i | 0.634554 | + | 0.311995i | ||||
\(19\) | −3.28949 | + | 5.69756i | −0.754661 | + | 1.30711i | 0.190882 | + | 0.981613i | \(0.438865\pi\) |
−0.945543 | + | 0.325498i | \(0.894468\pi\) | |||||||
\(20\) | −1.71746 | − | 1.43190i | −0.384036 | − | 0.320182i | ||||
\(21\) | 4.05713 | − | 4.33689i | 0.885338 | − | 0.946386i | ||||
\(22\) | −3.19099 | − | 5.52696i | −0.680321 | − | 1.17835i | ||||
\(23\) | 1.28143i | 0.267197i | 0.991036 | + | 0.133599i | \(0.0426533\pi\) | ||||
−0.991036 | + | 0.133599i | \(0.957347\pi\) | |||||||
\(24\) | −0.392310 | + | 1.68704i | −0.0800800 | + | 0.344365i | ||||
\(25\) | 0.899342 | + | 4.91845i | 0.179868 | + | 0.983691i | ||||
\(26\) | −0.452539 | − | 0.783821i | −0.0887502 | − | 0.153720i | ||||
\(27\) | −3.28927 | + | 4.02252i | −0.633021 | + | 0.774135i | ||||
\(28\) | 2.96938 | + | 1.71437i | 0.561160 | + | 0.323986i | ||||
\(29\) | −2.03276 | −0.377473 | −0.188737 | − | 0.982028i | \(-0.560439\pi\) | ||||
−0.188737 | + | 0.982028i | \(0.560439\pi\) | |||||||
\(30\) | 3.08944 | − | 2.33567i | 0.564052 | − | 0.426433i | ||||
\(31\) | 1.79672 | + | 5.26989i | 0.322701 | + | 0.946501i | ||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 10.5760 | − | 3.21504i | 1.84105 | − | 0.559666i | ||||
\(34\) | −2.93950 | − | 1.69712i | −0.504120 | − | 0.291054i | ||||
\(35\) | −2.64499 | − | 7.19621i | −0.447085 | − | 1.21638i | ||||
\(36\) | −2.69219 | − | 1.32368i | −0.448698 | − | 0.220614i | ||||
\(37\) | 2.47900 | − | 4.29376i | 0.407546 | − | 0.705890i | −0.587068 | − | 0.809537i | \(-0.699718\pi\) |
0.994614 | + | 0.103647i | \(0.0330513\pi\) | |||||||
\(38\) | 3.28949 | − | 5.69756i | 0.533626 | − | 0.924267i | ||||
\(39\) | 1.49987 | − | 0.455949i | 0.240171 | − | 0.0730103i | ||||
\(40\) | 1.71746 | + | 1.43190i | 0.271554 | + | 0.226403i | ||||
\(41\) | 1.87833 | − | 1.08446i | 0.293347 | − | 0.169364i | −0.346104 | − | 0.938196i | \(-0.612495\pi\) |
0.639450 | + | 0.768833i | \(0.279162\pi\) | |||||||
\(42\) | −4.05713 | + | 4.33689i | −0.626028 | + | 0.669196i | ||||
\(43\) | −4.12891 | + | 7.15148i | −0.629653 | + | 1.09059i | 0.357968 | + | 0.933734i | \(0.383470\pi\) |
−0.987621 | + | 0.156857i | \(0.949864\pi\) | |||||||
\(44\) | 3.19099 | + | 5.52696i | 0.481060 | + | 0.833220i | ||||
\(45\) | 2.72834 | + | 6.12831i | 0.406718 | + | 0.913554i | ||||
\(46\) | − | 1.28143i | − | 0.188937i | ||||||
\(47\) | −1.78914 | −0.260974 | −0.130487 | − | 0.991450i | \(-0.541654\pi\) | ||||
−0.130487 | + | 0.991450i | \(0.541654\pi\) | |||||||
\(48\) | 0.392310 | − | 1.68704i | 0.0566251 | − | 0.243503i | ||||
\(49\) | 2.37814 | + | 4.11906i | 0.339735 | + | 0.588438i | ||||
\(50\) | −0.899342 | − | 4.91845i | −0.127186 | − | 0.695574i | ||||
\(51\) | 4.01630 | − | 4.29325i | 0.562395 | − | 0.601175i | ||||
\(52\) | 0.452539 | + | 0.783821i | 0.0627559 | + | 0.108696i | ||||
\(53\) | 7.60886 | − | 4.39298i | 1.04516 | − | 0.603422i | 0.123868 | − | 0.992299i | \(-0.460470\pi\) |
0.921290 | + | 0.388877i | \(0.127137\pi\) | |||||||
\(54\) | 3.28927 | − | 4.02252i | 0.447613 | − | 0.547396i | ||||
\(55\) | 2.43363 | − | 14.0615i | 0.328151 | − | 1.89605i | ||||
\(56\) | −2.96938 | − | 1.71437i | −0.396800 | − | 0.229093i | ||||
\(57\) | 8.32150 | + | 7.78470i | 1.10221 | + | 1.03111i | ||||
\(58\) | 2.03276 | 0.266914 | ||||||||
\(59\) | −2.39397 | − | 1.38216i | −0.311668 | − | 0.179942i | 0.336005 | − | 0.941860i | \(-0.390924\pi\) |
−0.647673 | + | 0.761919i | \(0.724258\pi\) | |||||||
\(60\) | −3.08944 | + | 2.33567i | −0.398845 | + | 0.301534i | ||||
\(61\) | − | 4.65692i | − | 0.596258i | −0.954526 | − | 0.298129i | \(-0.903637\pi\) | ||
0.954526 | − | 0.298129i | \(-0.0963625\pi\) | |||||||
\(62\) | −1.79672 | − | 5.26989i | −0.228184 | − | 0.669277i | ||||
\(63\) | −5.72483 | − | 8.54593i | −0.721261 | − | 1.07669i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0.345132 | − | 1.99417i | 0.0428084 | − | 0.247346i | ||||
\(66\) | −10.5760 | + | 3.21504i | −1.30182 | + | 0.395744i | ||||
\(67\) | −0.0466974 | + | 0.0269608i | −0.00570499 | + | 0.00329378i | −0.502850 | − | 0.864374i | \(-0.667715\pi\) |
0.497145 | + | 0.867668i | \(0.334382\pi\) | |||||||
\(68\) | 2.93950 | + | 1.69712i | 0.356467 | + | 0.205806i | ||||
\(69\) | 2.16183 | + | 0.502719i | 0.260253 | + | 0.0605203i | ||||
\(70\) | 2.64499 | + | 7.19621i | 0.316137 | + | 0.860112i | ||||
\(71\) | 9.80635 | − | 5.66170i | 1.16380 | − | 0.671920i | 0.211588 | − | 0.977359i | \(-0.432136\pi\) |
0.952212 | + | 0.305439i | \(0.0988032\pi\) | |||||||
\(72\) | 2.69219 | + | 1.32368i | 0.317277 | + | 0.155998i | ||||
\(73\) | −5.91441 | − | 10.2441i | −0.692229 | − | 1.19898i | −0.971106 | − | 0.238649i | \(-0.923295\pi\) |
0.278877 | − | 0.960327i | \(-0.410038\pi\) | |||||||
\(74\) | −2.47900 | + | 4.29376i | −0.288178 | + | 0.499140i | ||||
\(75\) | 8.65043 | + | 0.412336i | 0.998866 | + | 0.0476124i | ||||
\(76\) | −3.28949 | + | 5.69756i | −0.377330 | + | 0.653555i | ||||
\(77\) | 21.8822i | 2.49371i | ||||||||
\(78\) | −1.49987 | + | 0.455949i | −0.169827 | + | 0.0516261i | ||||
\(79\) | 3.12853 | + | 1.80626i | 0.351987 | + | 0.203220i | 0.665560 | − | 0.746344i | \(-0.268193\pi\) |
−0.313573 | + | 0.949564i | \(0.601526\pi\) | |||||||
\(80\) | −1.71746 | − | 1.43190i | −0.192018 | − | 0.160091i | ||||
\(81\) | 5.49573 | + | 7.12720i | 0.610636 | + | 0.791911i | ||||
\(82\) | −1.87833 | + | 1.08446i | −0.207427 | + | 0.119758i | ||||
\(83\) | −11.9468 | + | 6.89749i | −1.31133 | + | 0.757098i | −0.982317 | − | 0.187227i | \(-0.940050\pi\) |
−0.329015 | + | 0.944325i | \(0.606717\pi\) | |||||||
\(84\) | 4.05713 | − | 4.33689i | 0.442669 | − | 0.473193i | ||||
\(85\) | −2.61837 | − | 7.12380i | −0.284003 | − | 0.772685i | ||||
\(86\) | 4.12891 | − | 7.15148i | 0.445232 | − | 0.771164i | ||||
\(87\) | −0.797471 | + | 3.42934i | −0.0854979 | + | 0.367663i | ||||
\(88\) | −3.19099 | − | 5.52696i | −0.340161 | − | 0.589176i | ||||
\(89\) | 5.15412 | 0.546336 | 0.273168 | − | 0.961966i | \(-0.411929\pi\) | ||||
0.273168 | + | 0.961966i | \(0.411929\pi\) | |||||||
\(90\) | −2.72834 | − | 6.12831i | −0.287593 | − | 0.645980i | ||||
\(91\) | 3.10328i | 0.325312i | ||||||||
\(92\) | 1.28143i | 0.133599i | ||||||||
\(93\) | 9.59538 | − | 0.963701i | 0.994994 | − | 0.0999312i | ||||
\(94\) | 1.78914 | 0.184536 | ||||||||
\(95\) | 13.8079 | − | 5.07513i | 1.41666 | − | 0.520697i | ||||
\(96\) | −0.392310 | + | 1.68704i | −0.0400400 | + | 0.172182i | ||||
\(97\) | − | 14.7656i | − | 1.49922i | −0.661879 | − | 0.749611i | \(-0.730241\pi\) | ||
0.661879 | − | 0.749611i | \(-0.269759\pi\) | |||||||
\(98\) | −2.37814 | − | 4.11906i | −0.240229 | − | 0.416088i | ||||
\(99\) | −1.27480 | − | 19.1035i | −0.128122 | − | 1.91997i | ||||
\(100\) | 0.899342 | + | 4.91845i | 0.0899342 | + | 0.491845i | ||||
\(101\) | 12.2575i | 1.21966i | 0.792531 | + | 0.609832i | \(0.208763\pi\) | ||||
−0.792531 | + | 0.609832i | \(0.791237\pi\) | |||||||
\(102\) | −4.01630 | + | 4.29325i | −0.397673 | + | 0.425095i | ||||
\(103\) | 4.90895 | − | 2.83419i | 0.483694 | − | 0.279261i | −0.238261 | − | 0.971201i | \(-0.576577\pi\) |
0.721954 | + | 0.691941i | \(0.243244\pi\) | |||||||
\(104\) | −0.452539 | − | 0.783821i | −0.0443751 | − | 0.0768599i | ||||
\(105\) | −13.1779 | + | 1.63905i | −1.28603 | + | 0.159954i | ||||
\(106\) | −7.60886 | + | 4.39298i | −0.739038 | + | 0.426684i | ||||
\(107\) | 0.900033 | − | 1.55890i | 0.0870095 | − | 0.150705i | −0.819236 | − | 0.573456i | \(-0.805602\pi\) |
0.906246 | + | 0.422751i | \(0.138936\pi\) | |||||||
\(108\) | −3.28927 | + | 4.02252i | −0.316511 | + | 0.387067i | ||||
\(109\) | 11.9427 | 1.14390 | 0.571951 | − | 0.820288i | \(-0.306187\pi\) | ||||
0.571951 | + | 0.820288i | \(0.306187\pi\) | |||||||
\(110\) | −2.43363 | + | 14.0615i | −0.232038 | + | 1.34071i | ||||
\(111\) | −6.27120 | − | 5.86666i | −0.595235 | − | 0.556839i | ||||
\(112\) | 2.96938 | + | 1.71437i | 0.280580 | + | 0.161993i | ||||
\(113\) | −8.34722 | − | 14.4578i | −0.785240 | − | 1.36008i | −0.928856 | − | 0.370442i | \(-0.879206\pi\) |
0.143615 | − | 0.989634i | \(-0.454127\pi\) | |||||||
\(114\) | −8.32150 | − | 7.78470i | −0.779380 | − | 0.729104i | ||||
\(115\) | 1.83488 | − | 2.20081i | 0.171103 | − | 0.205227i | ||||
\(116\) | −2.03276 | −0.188737 | ||||||||
\(117\) | −0.180789 | − | 2.70921i | −0.0167139 | − | 0.250466i | ||||
\(118\) | 2.39397 | + | 1.38216i | 0.220383 | + | 0.127238i | ||||
\(119\) | 5.81900 | + | 10.0788i | 0.533426 | + | 0.923922i | ||||
\(120\) | 3.08944 | − | 2.33567i | 0.282026 | − | 0.213217i | ||||
\(121\) | −14.8648 | + | 25.7466i | −1.35135 | + | 2.34060i | ||||
\(122\) | 4.65692i | 0.421618i | ||||||||
\(123\) | −1.09263 | − | 3.59426i | −0.0985190 | − | 0.324084i | ||||
\(124\) | 1.79672 | + | 5.26989i | 0.161350 | + | 0.473251i | ||||
\(125\) | 5.49813 | − | 9.73502i | 0.491768 | − | 0.870726i | ||||
\(126\) | 5.72483 | + | 8.54593i | 0.510009 | + | 0.761332i | ||||
\(127\) | −5.17437 | + | 8.96227i | −0.459151 | + | 0.795273i | −0.998916 | − | 0.0465425i | \(-0.985180\pi\) |
0.539765 | + | 0.841816i | \(0.318513\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | 10.4450 | + | 9.77122i | 0.919631 | + | 0.860308i | ||||
\(130\) | −0.345132 | + | 1.99417i | −0.0302701 | + | 0.174900i | ||||
\(131\) | 14.6750 | + | 8.47260i | 1.28216 | + | 0.740254i | 0.977242 | − | 0.212125i | \(-0.0680385\pi\) |
0.304915 | + | 0.952379i | \(0.401372\pi\) | |||||||
\(132\) | 10.5760 | − | 3.21504i | 0.920526 | − | 0.279833i | ||||
\(133\) | −19.5355 | + | 11.2788i | −1.69394 | + | 0.977998i | ||||
\(134\) | 0.0466974 | − | 0.0269608i | 0.00403404 | − | 0.00232905i | ||||
\(135\) | 11.4090 | − | 2.19862i | 0.981933 | − | 0.189227i | ||||
\(136\) | −2.93950 | − | 1.69712i | −0.252060 | − | 0.145527i | ||||
\(137\) | 7.94537 | − | 4.58726i | 0.678819 | − | 0.391916i | −0.120591 | − | 0.992702i | \(-0.538479\pi\) |
0.799410 | + | 0.600786i | \(0.205146\pi\) | |||||||
\(138\) | −2.16183 | − | 0.502719i | −0.184027 | − | 0.0427943i | ||||
\(139\) | 18.2894i | 1.55128i | 0.631173 | + | 0.775642i | \(0.282574\pi\) | ||||
−0.631173 | + | 0.775642i | \(0.717426\pi\) | |||||||
\(140\) | −2.64499 | − | 7.19621i | −0.223542 | − | 0.608191i | ||||
\(141\) | −0.701899 | + | 3.01835i | −0.0591106 | + | 0.254191i | ||||
\(142\) | −9.80635 | + | 5.66170i | −0.822931 | + | 0.475119i | ||||
\(143\) | −2.88810 | + | 5.00233i | −0.241515 | + | 0.418316i | ||||
\(144\) | −2.69219 | − | 1.32368i | −0.224349 | − | 0.110307i | ||||
\(145\) | 3.49118 | + | 2.91070i | 0.289927 | + | 0.241720i | ||||
\(146\) | 5.91441 | + | 10.2441i | 0.489480 | + | 0.847804i | ||||
\(147\) | 7.88198 | − | 2.39606i | 0.650095 | − | 0.197624i | ||||
\(148\) | 2.47900 | − | 4.29376i | 0.203773 | − | 0.352945i | ||||
\(149\) | −13.6580 | − | 7.88548i | −1.11891 | − | 0.646003i | −0.177788 | − | 0.984069i | \(-0.556894\pi\) |
−0.941123 | + | 0.338065i | \(0.890227\pi\) | |||||||
\(150\) | −8.65043 | − | 0.412336i | −0.706305 | − | 0.0336671i | ||||
\(151\) | 1.96141i | 0.159617i | 0.996810 | + | 0.0798087i | \(0.0254309\pi\) | ||||
−0.996810 | + | 0.0798087i | \(0.974569\pi\) | |||||||
\(152\) | 3.28949 | − | 5.69756i | 0.266813 | − | 0.462133i | ||||
\(153\) | −5.66723 | − | 8.45993i | −0.458168 | − | 0.683945i | ||||
\(154\) | − | 21.8822i | − | 1.76332i | ||||||
\(155\) | 4.46015 | − | 11.6236i | 0.358248 | − | 0.933627i | ||||
\(156\) | 1.49987 | − | 0.455949i | 0.120086 | − | 0.0365052i | ||||
\(157\) | 6.06530i | 0.484064i | 0.970268 | + | 0.242032i | \(0.0778139\pi\) | ||||
−0.970268 | + | 0.242032i | \(0.922186\pi\) | |||||||
\(158\) | −3.12853 | − | 1.80626i | −0.248892 | − | 0.143698i | ||||
\(159\) | −4.42608 | − | 14.5598i | −0.351011 | − | 1.15467i | ||||
\(160\) | 1.71746 | + | 1.43190i | 0.135777 | + | 0.113201i | ||||
\(161\) | −2.19685 | + | 3.80506i | −0.173136 | + | 0.299881i | ||||
\(162\) | −5.49573 | − | 7.12720i | −0.431785 | − | 0.559966i | ||||
\(163\) | − | 1.25379i | − | 0.0982044i | −0.998794 | − | 0.0491022i | \(-0.984364\pi\) | ||
0.998794 | − | 0.0491022i | \(-0.0156360\pi\) | |||||||
\(164\) | 1.87833 | − | 1.08446i | 0.146673 | − | 0.0846819i | ||||
\(165\) | −22.7675 | − | 9.62210i | −1.77245 | − | 0.749079i | ||||
\(166\) | 11.9468 | − | 6.89749i | 0.927252 | − | 0.535349i | ||||
\(167\) | −10.2810 | − | 5.93575i | −0.795569 | − | 0.459322i | 0.0463505 | − | 0.998925i | \(-0.485241\pi\) |
−0.841919 | + | 0.539603i | \(0.818574\pi\) | |||||||
\(168\) | −4.05713 | + | 4.33689i | −0.313014 | + | 0.334598i | ||||
\(169\) | 6.09042 | − | 10.5489i | 0.468494 | − | 0.811455i | ||||
\(170\) | 2.61837 | + | 7.12380i | 0.200820 | + | 0.546371i | ||||
\(171\) | 16.3977 | − | 10.9847i | 1.25396 | − | 0.840018i | ||||
\(172\) | −4.12891 | + | 7.15148i | −0.314827 | + | 0.545296i | ||||
\(173\) | 11.6604 | + | 20.1964i | 0.886523 | + | 1.53550i | 0.843958 | + | 0.536409i | \(0.180220\pi\) |
0.0425649 | + | 0.999094i | \(0.486447\pi\) | |||||||
\(174\) | 0.797471 | − | 3.42934i | 0.0604561 | − | 0.259977i | ||||
\(175\) | −5.76157 | + | 16.1466i | −0.435534 | + | 1.22057i | ||||
\(176\) | 3.19099 | + | 5.52696i | 0.240530 | + | 0.416610i | ||||
\(177\) | −3.27093 | + | 3.49648i | −0.245858 | + | 0.262811i | ||||
\(178\) | −5.15412 | −0.386318 | ||||||||
\(179\) | 5.70902 | − | 9.88831i | 0.426712 | − | 0.739087i | −0.569867 | − | 0.821737i | \(-0.693005\pi\) |
0.996579 | + | 0.0826503i | \(0.0263384\pi\) | |||||||
\(180\) | 2.72834 | + | 6.12831i | 0.203359 | + | 0.456777i | ||||
\(181\) | 0.120326 | − | 0.0694702i | 0.00894376 | − | 0.00516368i | −0.495521 | − | 0.868596i | \(-0.665023\pi\) |
0.504465 | + | 0.863432i | \(0.331690\pi\) | |||||||
\(182\) | − | 3.10328i | − | 0.230031i | ||||||
\(183\) | −7.85640 | − | 1.82696i | −0.580762 | − | 0.135053i | ||||
\(184\) | − | 1.28143i | − | 0.0944685i | ||||||
\(185\) | −10.4058 | + | 3.82469i | −0.765051 | + | 0.281197i | ||||
\(186\) | −9.59538 | + | 0.963701i | −0.703567 | + | 0.0706620i | ||||
\(187\) | 21.6620i | 1.58408i | ||||||||
\(188\) | −1.78914 | −0.130487 | ||||||||
\(189\) | −16.6632 | + | 6.30535i | −1.21207 | + | 0.458647i | ||||
\(190\) | −13.8079 | + | 5.07513i | −1.00173 | + | 0.368189i | ||||
\(191\) | 11.0681 | − | 6.39017i | 0.800859 | − | 0.462376i | −0.0429124 | − | 0.999079i | \(-0.513664\pi\) |
0.843771 | + | 0.536703i | \(0.180330\pi\) | |||||||
\(192\) | 0.392310 | − | 1.68704i | 0.0283125 | − | 0.121751i | ||||
\(193\) | −9.22586 | − | 5.32655i | −0.664092 | − | 0.383414i | 0.129742 | − | 0.991548i | \(-0.458585\pi\) |
−0.793834 | + | 0.608134i | \(0.791918\pi\) | |||||||
\(194\) | 14.7656i | 1.06011i | ||||||||
\(195\) | −3.22884 | − | 1.36458i | −0.231222 | − | 0.0977199i | ||||
\(196\) | 2.37814 | + | 4.11906i | 0.169867 | + | 0.294219i | ||||
\(197\) | −21.2751 | + | 12.2832i | −1.51579 | + | 0.875140i | −0.515958 | + | 0.856614i | \(0.672564\pi\) |
−0.999828 | + | 0.0185255i | \(0.994103\pi\) | |||||||
\(198\) | 1.27480 | + | 19.1035i | 0.0905959 | + | 1.35762i | ||||
\(199\) | −1.07789 | + | 0.622319i | −0.0764095 | + | 0.0441150i | −0.537718 | − | 0.843125i | \(-0.680713\pi\) |
0.461308 | + | 0.887240i | \(0.347380\pi\) | |||||||
\(200\) | −0.899342 | − | 4.91845i | −0.0635931 | − | 0.347787i | ||||
\(201\) | 0.0271639 | + | 0.0893572i | 0.00191600 | + | 0.00630277i | ||||
\(202\) | − | 12.2575i | − | 0.862432i | ||||||
\(203\) | −6.03603 | − | 3.48490i | −0.423646 | − | 0.244592i | ||||
\(204\) | 4.01630 | − | 4.29325i | 0.281197 | − | 0.300587i | ||||
\(205\) | −4.77880 | − | 0.827069i | −0.333766 | − | 0.0577650i | ||||
\(206\) | −4.90895 | + | 2.83419i | −0.342023 | + | 0.197467i | ||||
\(207\) | 1.69621 | − | 3.44986i | 0.117895 | − | 0.239782i | ||||
\(208\) | 0.452539 | + | 0.783821i | 0.0313779 | + | 0.0543482i | ||||
\(209\) | −41.9869 | −2.90430 | ||||||||
\(210\) | 13.1779 | − | 1.63905i | 0.909363 | − | 0.113105i | ||||
\(211\) | 13.9957 | − | 24.2412i | 0.963501 | − | 1.66883i | 0.249912 | − | 0.968268i | \(-0.419598\pi\) |
0.713589 | − | 0.700565i | \(-0.247068\pi\) | |||||||
\(212\) | 7.60886 | − | 4.39298i | 0.522579 | − | 0.301711i | ||||
\(213\) | −5.70436 | − | 18.7648i | −0.390857 | − | 1.28574i | ||||
\(214\) | −0.900033 | + | 1.55890i | −0.0615250 | + | 0.106564i | ||||
\(215\) | 17.3314 | − | 6.37022i | 1.18199 | − | 0.434445i | ||||
\(216\) | 3.28927 | − | 4.02252i | 0.223807 | − | 0.273698i | ||||
\(217\) | −3.69941 | + | 18.7286i | −0.251133 | + | 1.27138i | ||||
\(218\) | −11.9427 | −0.808861 | ||||||||
\(219\) | −19.6024 | + | 5.95898i | −1.32461 | + | 0.402670i | ||||
\(220\) | 2.43363 | − | 14.0615i | 0.164075 | − | 0.948026i | ||||
\(221\) | 3.07206i | 0.206649i | ||||||||
\(222\) | 6.27120 | + | 5.86666i | 0.420895 | + | 0.393744i | ||||
\(223\) | −0.843359 | + | 1.46074i | −0.0564755 | + | 0.0978184i | −0.892881 | − | 0.450293i | \(-0.851320\pi\) |
0.836405 | + | 0.548111i | \(0.184653\pi\) | |||||||
\(224\) | −2.96938 | − | 1.71437i | −0.198400 | − | 0.114546i | ||||
\(225\) | 4.08928 | − | 14.4318i | 0.272619 | − | 0.962122i | ||||
\(226\) | 8.34722 | + | 14.4578i | 0.555249 | + | 0.961719i | ||||
\(227\) | −4.42782 | − | 7.66921i | −0.293885 | − | 0.509024i | 0.680840 | − | 0.732432i | \(-0.261615\pi\) |
−0.974725 | + | 0.223409i | \(0.928282\pi\) | |||||||
\(228\) | 8.32150 | + | 7.78470i | 0.551105 | + | 0.515555i | ||||
\(229\) | −15.4179 | − | 8.90151i | −1.01884 | − | 0.588228i | −0.105073 | − | 0.994465i | \(-0.533508\pi\) |
−0.913768 | + | 0.406236i | \(0.866841\pi\) | |||||||
\(230\) | −1.83488 | + | 2.20081i | −0.120988 | + | 0.145117i | ||||
\(231\) | 36.9160 | + | 8.58460i | 2.42890 | + | 0.564825i | ||||
\(232\) | 2.03276 | 0.133457 | ||||||||
\(233\) | 0.695815 | 0.0455844 | 0.0227922 | − | 0.999740i | \(-0.492744\pi\) | ||||
0.0227922 | + | 0.999740i | \(0.492744\pi\) | |||||||
\(234\) | 0.180789 | + | 2.70921i | 0.0118185 | + | 0.177107i | ||||
\(235\) | 3.07279 | + | 2.56187i | 0.200446 | + | 0.167118i | ||||
\(236\) | −2.39397 | − | 1.38216i | −0.155834 | − | 0.0899708i | ||||
\(237\) | 4.27457 | − | 4.56933i | 0.277663 | − | 0.296810i | ||||
\(238\) | −5.81900 | − | 10.0788i | −0.377189 | − | 0.653311i | ||||
\(239\) | −2.71108 | − | 4.69573i | −0.175365 | − | 0.303741i | 0.764922 | − | 0.644122i | \(-0.222777\pi\) |
−0.940288 | + | 0.340381i | \(0.889444\pi\) | |||||||
\(240\) | −3.08944 | + | 2.33567i | −0.199422 | + | 0.150767i | ||||
\(241\) | −19.9045 | − | 11.4919i | −1.28216 | − | 0.740257i | −0.304919 | − | 0.952378i | \(-0.598629\pi\) |
−0.977243 | + | 0.212122i | \(0.931963\pi\) | |||||||
\(242\) | 14.8648 | − | 25.7466i | 0.955548 | − | 1.65506i | ||||
\(243\) | 14.1799 | − | 6.47542i | 0.909640 | − | 0.415398i | ||||
\(244\) | − | 4.65692i | − | 0.298129i | ||||||
\(245\) | 1.81371 | − | 10.4796i | 0.115874 | − | 0.669516i | ||||
\(246\) | 1.09263 | + | 3.59426i | 0.0696635 | + | 0.229162i | ||||
\(247\) | −5.95449 | −0.378875 | ||||||||
\(248\) | −1.79672 | − | 5.26989i | −0.114092 | − | 0.334639i | ||||
\(249\) | 6.94947 | + | 22.8607i | 0.440405 | + | 1.44873i | ||||
\(250\) | −5.49813 | + | 9.73502i | −0.347732 | + | 0.615696i | ||||
\(251\) | −3.90398 | + | 6.76189i | −0.246417 | + | 0.426806i | −0.962529 | − | 0.271179i | \(-0.912587\pi\) |
0.716112 | + | 0.697985i | \(0.245920\pi\) | |||||||
\(252\) | −5.72483 | − | 8.54593i | −0.360631 | − | 0.538343i | ||||
\(253\) | −7.08243 | + | 4.08904i | −0.445268 | + | 0.257076i | ||||
\(254\) | 5.17437 | − | 8.96227i | 0.324669 | − | 0.562343i | ||||
\(255\) | −13.0453 | + | 1.62255i | −0.816930 | + | 0.101608i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −6.11433 | − | 10.5903i | −0.381401 | − | 0.660606i | 0.609862 | − | 0.792508i | \(-0.291225\pi\) |
−0.991263 | + | 0.131902i | \(0.957892\pi\) | |||||||
\(258\) | −10.4450 | − | 9.77122i | −0.650277 | − | 0.608330i | ||||
\(259\) | 14.7222 | − | 8.49987i | 0.914794 | − | 0.528156i | ||||
\(260\) | 0.345132 | − | 1.99417i | 0.0214042 | − | 0.123673i | ||||
\(261\) | 5.47256 | + | 2.69073i | 0.338743 | + | 0.166552i | ||||
\(262\) | −14.6750 | − | 8.47260i | −0.906623 | − | 0.523439i | ||||
\(263\) | 11.4714i | 0.707359i | 0.935367 | + | 0.353679i | \(0.115070\pi\) | ||||
−0.935367 | + | 0.353679i | \(0.884930\pi\) | |||||||
\(264\) | −10.5760 | + | 3.21504i | −0.650910 | + | 0.197872i | ||||
\(265\) | −19.3582 | − | 3.35034i | −1.18917 | − | 0.205810i | ||||
\(266\) | 19.5355 | − | 11.2788i | 1.19780 | − | 0.691549i | ||||
\(267\) | 2.02201 | − | 8.69519i | 0.123745 | − | 0.532137i | ||||
\(268\) | −0.0466974 | + | 0.0269608i | −0.00285250 | + | 0.00164689i | ||||
\(269\) | −3.40220 | − | 5.89278i | −0.207436 | − | 0.359289i | 0.743470 | − | 0.668769i | \(-0.233178\pi\) |
−0.950906 | + | 0.309480i | \(0.899845\pi\) | |||||||
\(270\) | −11.4090 | + | 2.19862i | −0.694332 | + | 0.133804i | ||||
\(271\) | 31.7105i | 1.92628i | 0.269005 | + | 0.963139i | \(0.413305\pi\) | ||||
−0.269005 | + | 0.963139i | \(0.586695\pi\) | |||||||
\(272\) | 2.93950 | + | 1.69712i | 0.178233 | + | 0.102903i | ||||
\(273\) | 5.23535 | + | 1.21745i | 0.316858 | + | 0.0736833i | ||||
\(274\) | −7.94537 | + | 4.58726i | −0.479997 | + | 0.277127i | ||||
\(275\) | −24.3143 | + | 20.6654i | −1.46621 | + | 1.24617i | ||||
\(276\) | 2.16183 | + | 0.502719i | 0.130127 | + | 0.0302601i | ||||
\(277\) | 28.8854 | 1.73555 | 0.867777 | − | 0.496954i | \(-0.165548\pi\) | ||||
0.867777 | + | 0.496954i | \(0.165548\pi\) | |||||||
\(278\) | − | 18.2894i | − | 1.09692i | ||||||
\(279\) | 2.13856 | − | 16.5658i | 0.128033 | − | 0.991770i | ||||
\(280\) | 2.64499 | + | 7.19621i | 0.158068 | + | 0.430056i | ||||
\(281\) | − | 7.77372i | − | 0.463741i | −0.972747 | − | 0.231871i | \(-0.925515\pi\) | ||
0.972747 | − | 0.231871i | \(-0.0744846\pi\) | |||||||
\(282\) | 0.701899 | − | 3.01835i | 0.0417975 | − | 0.179740i | ||||
\(283\) | − | 17.5057i | − | 1.04060i | −0.853982 | − | 0.520302i | \(-0.825819\pi\) | ||
0.853982 | − | 0.520302i | \(-0.174181\pi\) | |||||||
\(284\) | 9.80635 | − | 5.66170i | 0.581900 | − | 0.335960i | ||||
\(285\) | −3.14496 | − | 25.2854i | −0.186291 | − | 1.49778i | ||||
\(286\) | 2.88810 | − | 5.00233i | 0.170777 | − | 0.295794i | ||||
\(287\) | 7.43665 | 0.438972 | ||||||||
\(288\) | 2.69219 | + | 1.32368i | 0.158639 | + | 0.0779988i | ||||
\(289\) | −2.73956 | − | 4.74505i | −0.161150 | − | 0.279121i | ||||
\(290\) | −3.49118 | − | 2.91070i | −0.205009 | − | 0.170922i | ||||
\(291\) | −24.9102 | − | 5.79270i | −1.46026 | − | 0.339574i | ||||
\(292\) | −5.91441 | − | 10.2441i | −0.346115 | − | 0.599488i | ||||
\(293\) | −8.96242 | + | 15.5234i | −0.523590 | + | 0.906885i | 0.476033 | + | 0.879427i | \(0.342074\pi\) |
−0.999623 | + | 0.0274571i | \(0.991259\pi\) | |||||||
\(294\) | −7.88198 | + | 2.39606i | −0.459687 | + | 0.139741i | ||||
\(295\) | 2.13244 | + | 5.80172i | 0.124155 | + | 0.337789i | ||||
\(296\) | −2.47900 | + | 4.29376i | −0.144089 | + | 0.249570i | ||||
\(297\) | −32.7283 | − | 5.34385i | −1.89909 | − | 0.310082i | ||||
\(298\) | 13.6580 | + | 7.88548i | 0.791189 | + | 0.456793i | ||||
\(299\) | −1.00441 | + | 0.579899i | −0.0580868 | + | 0.0335364i | ||||
\(300\) | 8.65043 | + | 0.412336i | 0.499433 | + | 0.0238062i | ||||
\(301\) | −24.5206 | + | 14.1570i | −1.41334 | + | 0.815995i | ||||
\(302\) | − | 1.96141i | − | 0.112867i | ||||||
\(303\) | 20.6788 | + | 4.80873i | 1.18797 | + | 0.276254i | ||||
\(304\) | −3.28949 | + | 5.69756i | −0.188665 | + | 0.326778i | ||||
\(305\) | −6.66823 | + | 7.99808i | −0.381822 | + | 0.457969i | ||||
\(306\) | 5.66723 | + | 8.45993i | 0.323974 | + | 0.483622i | ||||
\(307\) | −6.41230 | − | 3.70214i | −0.365969 | − | 0.211292i | 0.305727 | − | 0.952119i | \(-0.401101\pi\) |
−0.671696 | + | 0.740827i | \(0.734434\pi\) | |||||||
\(308\) | 21.8822i | 1.24685i | ||||||||
\(309\) | −2.85554 | − | 9.39347i | −0.162446 | − | 0.534376i | ||||
\(310\) | −4.46015 | + | 11.6236i | −0.253319 | + | 0.660174i | ||||
\(311\) | 7.06882i | 0.400836i | 0.979710 | + | 0.200418i | \(0.0642300\pi\) | ||||
−0.979710 | + | 0.200418i | \(0.935770\pi\) | |||||||
\(312\) | −1.49987 | + | 0.455949i | −0.0849134 | + | 0.0258130i | ||||
\(313\) | 9.11672 | − | 15.7906i | 0.515308 | − | 0.892539i | −0.484535 | − | 0.874772i | \(-0.661011\pi\) |
0.999842 | − | 0.0177668i | \(-0.00565563\pi\) | |||||||
\(314\) | − | 6.06530i | − | 0.342285i | ||||||
\(315\) | −2.40471 | + | 22.8747i | −0.135490 | + | 1.28884i | ||||
\(316\) | 3.12853 | + | 1.80626i | 0.175993 | + | 0.101610i | ||||
\(317\) | −4.15118 | + | 7.19006i | −0.233154 | + | 0.403834i | −0.958734 | − | 0.284303i | \(-0.908238\pi\) |
0.725581 | + | 0.688137i | \(0.241571\pi\) | |||||||
\(318\) | 4.42608 | + | 14.5598i | 0.248202 | + | 0.816475i | ||||
\(319\) | −6.48651 | − | 11.2350i | −0.363175 | − | 0.629037i | ||||
\(320\) | −1.71746 | − | 1.43190i | −0.0960090 | − | 0.0800455i | ||||
\(321\) | −2.27683 | − | 2.12996i | −0.127080 | − | 0.118883i | ||||
\(322\) | 2.19685 | − | 3.80506i | 0.122426 | − | 0.212048i | ||||
\(323\) | −19.3389 | + | 11.1653i | −1.07605 | + | 0.621256i | ||||
\(324\) | 5.49573 | + | 7.12720i | 0.305318 | + | 0.395956i | ||||
\(325\) | −3.44820 | + | 2.93072i | −0.191272 | + | 0.162567i | ||||
\(326\) | 1.25379i | 0.0694410i | ||||||||
\(327\) | 4.68524 | − | 20.1477i | 0.259094 | − | 1.11417i | ||||
\(328\) | −1.87833 | + | 1.08446i | −0.103714 | + | 0.0598791i | ||||
\(329\) | −5.31265 | − | 3.06726i | −0.292896 | − | 0.169103i | ||||
\(330\) | 22.7675 | + | 9.62210i | 1.25331 | + | 0.529679i | ||||
\(331\) | −14.6191 | + | 8.44036i | −0.803540 | + | 0.463924i | −0.844708 | − | 0.535228i | \(-0.820226\pi\) |
0.0411672 | + | 0.999152i | \(0.486892\pi\) | |||||||
\(332\) | −11.9468 | + | 6.89749i | −0.655666 | + | 0.378549i | ||||
\(333\) | −12.3575 | + | 8.27819i | −0.677188 | + | 0.453642i | ||||
\(334\) | 10.2810 | + | 5.93575i | 0.562552 | + | 0.324790i | ||||
\(335\) | 0.118806 | + | 0.0205618i | 0.00649106 | + | 0.00112341i | ||||
\(336\) | 4.05713 | − | 4.33689i | 0.221334 | − | 0.236597i | ||||
\(337\) | 26.7132 | 1.45516 | 0.727580 | − | 0.686023i | \(-0.240645\pi\) | ||||
0.727580 | + | 0.686023i | \(0.240645\pi\) | |||||||
\(338\) | −6.09042 | + | 10.5489i | −0.331275 | + | 0.573785i | ||||
\(339\) | −27.6655 | + | 8.41012i | −1.50259 | + | 0.456775i | ||||
\(340\) | −2.61837 | − | 7.12380i | −0.142001 | − | 0.386342i | ||||
\(341\) | −23.3932 | + | 26.7466i | −1.26681 | + | 1.44841i | ||||
\(342\) | −16.3977 | + | 10.9847i | −0.886685 | + | 0.593982i | ||||
\(343\) | − | 7.69312i | − | 0.415390i | ||||||
\(344\) | 4.12891 | − | 7.15148i | 0.222616 | − | 0.385582i | ||||
\(345\) | −2.99301 | − | 3.95891i | −0.161138 | − | 0.213141i | ||||
\(346\) | −11.6604 | − | 20.1964i | −0.626866 | − | 1.08576i | ||||
\(347\) | 17.9299 | + | 10.3518i | 0.962526 | + | 0.555714i | 0.896949 | − | 0.442133i | \(-0.145778\pi\) |
0.0655762 | + | 0.997848i | \(0.479111\pi\) | |||||||
\(348\) | −0.797471 | + | 3.42934i | −0.0427489 | + | 0.183832i | ||||
\(349\) | 29.0198 | 1.55339 | 0.776697 | − | 0.629875i | \(-0.216894\pi\) | ||||
0.776697 | + | 0.629875i | \(0.216894\pi\) | |||||||
\(350\) | 5.76157 | − | 16.1466i | 0.307969 | − | 0.863070i | ||||
\(351\) | −4.64146 | − | 0.757853i | −0.247743 | − | 0.0404512i | ||||
\(352\) | −3.19099 | − | 5.52696i | −0.170080 | − | 0.294588i | ||||
\(353\) | 13.3349 | + | 7.69893i | 0.709747 | + | 0.409773i | 0.810967 | − | 0.585091i | \(-0.198941\pi\) |
−0.101220 | + | 0.994864i | \(0.532275\pi\) | |||||||
\(354\) | 3.27093 | − | 3.49648i | 0.173848 | − | 0.185836i | ||||
\(355\) | −24.9490 | − | 4.31794i | −1.32416 | − | 0.229172i | ||||
\(356\) | 5.15412 | 0.273168 | ||||||||
\(357\) | 19.2862 | − | 5.86285i | 1.02073 | − | 0.310295i | ||||
\(358\) | −5.70902 | + | 9.88831i | −0.301731 | + | 0.522613i | ||||
\(359\) | 11.0965 | − | 6.40655i | 0.585649 | − | 0.338125i | −0.177726 | − | 0.984080i | \(-0.556874\pi\) |
0.763375 | + | 0.645955i | \(0.223541\pi\) | |||||||
\(360\) | −2.72834 | − | 6.12831i | −0.143796 | − | 0.322990i | ||||
\(361\) | −12.1415 | − | 21.0297i | −0.639026 | − | 1.10683i | ||||
\(362\) | −0.120326 | + | 0.0694702i | −0.00632419 | + | 0.00365127i | ||||
\(363\) | 37.6039 | + | 35.1782i | 1.97369 | + | 1.84638i | ||||
\(364\) | 3.10328i | 0.162656i | ||||||||
\(365\) | −4.51067 | + | 26.0626i | −0.236099 | + | 1.36418i | ||||
\(366\) | 7.85640 | + | 1.82696i | 0.410661 | + | 0.0954966i | ||||
\(367\) | −0.284663 | − | 0.493050i | −0.0148593 | − | 0.0257370i | 0.858500 | − | 0.512813i | \(-0.171397\pi\) |
−0.873359 | + | 0.487076i | \(0.838063\pi\) | |||||||
\(368\) | 1.28143i | 0.0667993i | ||||||||
\(369\) | −6.49230 | + | 0.433239i | −0.337976 | + | 0.0225535i | ||||
\(370\) | 10.4058 | − | 3.82469i | 0.540973 | − | 0.198836i | ||||
\(371\) | 30.1248 | 1.56400 | ||||||||
\(372\) | 9.59538 | − | 0.963701i | 0.497497 | − | 0.0499656i | ||||
\(373\) | 26.2391i | 1.35861i | 0.733855 | + | 0.679306i | \(0.237719\pi\) | ||||
−0.733855 | + | 0.679306i | \(0.762281\pi\) | |||||||
\(374\) | − | 21.6620i | − | 1.12012i | ||||||
\(375\) | −14.2664 | − | 13.0947i | −0.736711 | − | 0.676207i | ||||
\(376\) | 1.78914 | 0.0922681 | ||||||||
\(377\) | −0.919902 | − | 1.59332i | −0.0473774 | − | 0.0820600i | ||||
\(378\) | 16.6632 | − | 6.30535i | 0.857063 | − | 0.324312i | ||||
\(379\) | 7.36256 | − | 12.7523i | 0.378189 | − | 0.655043i | −0.612609 | − | 0.790386i | \(-0.709880\pi\) |
0.990799 | + | 0.135343i | \(0.0432135\pi\) | |||||||
\(380\) | 13.8079 | − | 5.07513i | 0.708330 | − | 0.260349i | ||||
\(381\) | 13.0897 | + | 12.2453i | 0.670607 | + | 0.627348i | ||||
\(382\) | −11.0681 | + | 6.39017i | −0.566293 | + | 0.326949i | ||||
\(383\) | 15.9925 | − | 9.23329i | 0.817180 | − | 0.471799i | −0.0322633 | − | 0.999479i | \(-0.510272\pi\) |
0.849443 | + | 0.527681i | \(0.176938\pi\) | |||||||
\(384\) | −0.392310 | + | 1.68704i | −0.0200200 | + | 0.0860912i | ||||
\(385\) | 31.3330 | − | 37.5818i | 1.59688 | − | 1.91534i | ||||
\(386\) | 9.22586 | + | 5.32655i | 0.469584 | + | 0.271114i | ||||
\(387\) | 20.5821 | − | 13.7878i | 1.04625 | − | 0.700871i | ||||
\(388\) | − | 14.7656i | − | 0.749611i | ||||||
\(389\) | 7.48029 | − | 12.9562i | 0.379266 | − | 0.656907i | −0.611690 | − | 0.791098i | \(-0.709510\pi\) |
0.990956 | + | 0.134190i | \(0.0428433\pi\) | |||||||
\(390\) | 3.22884 | + | 1.36458i | 0.163499 | + | 0.0690984i | ||||
\(391\) | −2.17475 | + | 3.76677i | −0.109982 | + | 0.190494i | ||||
\(392\) | −2.37814 | − | 4.11906i | −0.120114 | − | 0.208044i | ||||
\(393\) | 20.0507 | − | 21.4333i | 1.01143 | − | 1.08117i | ||||
\(394\) | 21.2751 | − | 12.2832i | 1.07182 | − | 0.618817i | ||||
\(395\) | −2.78675 | − | 7.58191i | −0.140217 | − | 0.381487i | ||||
\(396\) | −1.27480 | − | 19.1035i | −0.0640610 | − | 0.959985i | ||||
\(397\) | −9.37611 | − | 5.41330i | −0.470574 | − | 0.271686i | 0.245906 | − | 0.969294i | \(-0.420914\pi\) |
−0.716480 | + | 0.697608i | \(0.754248\pi\) | |||||||
\(398\) | 1.07789 | − | 0.622319i | 0.0540297 | − | 0.0311940i | ||||
\(399\) | 11.3638 | + | 37.3819i | 0.568902 | + | 1.87143i | ||||
\(400\) | 0.899342 | + | 4.91845i | 0.0449671 | + | 0.245923i | ||||
\(401\) | 15.2743 | 0.762762 | 0.381381 | − | 0.924418i | \(-0.375449\pi\) | ||||
0.381381 | + | 0.924418i | \(0.375449\pi\) | |||||||
\(402\) | −0.0271639 | − | 0.0893572i | −0.00135481 | − | 0.00445673i | ||||
\(403\) | −3.31757 | + | 3.79314i | −0.165260 | + | 0.188950i | ||||
\(404\) | 12.2575i | 0.609832i | ||||||||
\(405\) | 0.766725 | − | 20.1100i | 0.0380989 | − | 0.999274i | ||||
\(406\) | 6.03603 | + | 3.48490i | 0.299563 | + | 0.172953i | ||||
\(407\) | 31.6419 | 1.56843 | ||||||||
\(408\) | −4.01630 | + | 4.29325i | −0.198837 | + | 0.212547i | ||||
\(409\) | 8.93038 | + | 5.15596i | 0.441579 | + | 0.254946i | 0.704267 | − | 0.709935i | \(-0.251276\pi\) |
−0.262688 | + | 0.964881i | \(0.584609\pi\) | |||||||
\(410\) | 4.77880 | + | 0.827069i | 0.236008 | + | 0.0408460i | ||||
\(411\) | −4.62183 | − | 15.2038i | −0.227978 | − | 0.749946i | ||||
\(412\) | 4.90895 | − | 2.83419i | 0.241847 | − | 0.139630i | ||||
\(413\) | −4.73906 | − | 8.20830i | −0.233194 | − | 0.403904i | ||||
\(414\) | −1.69621 | + | 3.44986i | −0.0833643 | + | 0.169551i | ||||
\(415\) | 30.3947 | + | 5.26042i | 1.49202 | + | 0.258224i | ||||
\(416\) | −0.452539 | − | 0.783821i | −0.0221876 | − | 0.0384300i | ||||
\(417\) | 30.8548 | + | 7.17511i | 1.51097 | + | 0.351366i | ||||
\(418\) | 41.9869 | 2.05365 | ||||||||
\(419\) | 21.4031i | 1.04561i | 0.852452 | + | 0.522806i | \(0.175115\pi\) | ||||
−0.852452 | + | 0.522806i | \(0.824885\pi\) | |||||||
\(420\) | −13.1779 | + | 1.63905i | −0.643017 | + | 0.0799772i | ||||
\(421\) | 9.22392 | + | 15.9763i | 0.449546 | + | 0.778637i | 0.998356 | − | 0.0573100i | \(-0.0182524\pi\) |
−0.548810 | + | 0.835947i | \(0.684919\pi\) | |||||||
\(422\) | −13.9957 | + | 24.2412i | −0.681298 | + | 1.18004i | ||||
\(423\) | 4.81671 | + | 2.36826i | 0.234196 | + | 0.115149i | ||||
\(424\) | −7.60886 | + | 4.39298i | −0.369519 | + | 0.213342i | ||||
\(425\) | −5.70360 | + | 15.9841i | −0.276665 | + | 0.775342i | ||||
\(426\) | 5.70436 | + | 18.7648i | 0.276377 | + | 0.909158i | ||||
\(427\) | 7.98370 | − | 13.8282i | 0.386358 | − | 0.669192i | ||||
\(428\) | 0.900033 | − | 1.55890i | 0.0435047 | − | 0.0753524i | ||||
\(429\) | 7.30608 | + | 6.83479i | 0.352741 | + | 0.329987i | ||||
\(430\) | −17.3314 | + | 6.37022i | −0.835796 | + | 0.307199i | ||||
\(431\) | −10.6515 | − | 6.14966i | −0.513066 | − | 0.296219i | 0.221027 | − | 0.975268i | \(-0.429059\pi\) |
−0.734093 | + | 0.679049i | \(0.762392\pi\) | |||||||
\(432\) | −3.28927 | + | 4.02252i | −0.158255 | + | 0.193534i | ||||
\(433\) | 34.2578 | 1.64632 | 0.823162 | − | 0.567807i | \(-0.192208\pi\) | ||||
0.823162 | + | 0.567807i | \(0.192208\pi\) | |||||||
\(434\) | 3.69941 | − | 18.7286i | 0.177578 | − | 0.899000i | ||||
\(435\) | 6.28008 | − | 4.74785i | 0.301107 | − | 0.227642i | ||||
\(436\) | 11.9427 | 0.571951 | ||||||||
\(437\) | −7.30105 | − | 4.21526i | −0.349257 | − | 0.201643i | ||||
\(438\) | 19.6024 | − | 5.95898i | 0.936638 | − | 0.284731i | ||||
\(439\) | 8.21787 | + | 14.2338i | 0.392218 | + | 0.679341i | 0.992742 | − | 0.120266i | \(-0.0383747\pi\) |
−0.600524 | + | 0.799607i | \(0.705041\pi\) | |||||||
\(440\) | −2.43363 | + | 14.0615i | −0.116019 | + | 0.670356i | ||||
\(441\) | −0.950066 | − | 14.2372i | −0.0452412 | − | 0.677962i | ||||
\(442\) | − | 3.07206i | − | 0.146123i | ||||||
\(443\) | −3.14960 | − | 5.45527i | −0.149642 | − | 0.259188i | 0.781453 | − | 0.623964i | \(-0.214479\pi\) |
−0.931095 | + | 0.364776i | \(0.881146\pi\) | |||||||
\(444\) | −6.27120 | − | 5.86666i | −0.297618 | − | 0.278419i | ||||
\(445\) | −8.85200 | − | 7.38017i | −0.419625 | − | 0.349854i | ||||
\(446\) | 0.843359 | − | 1.46074i | 0.0399342 | − | 0.0691680i | ||||
\(447\) | −18.6613 | + | 19.9481i | −0.882648 | + | 0.943511i | ||||
\(448\) | 2.96938 | + | 1.71437i | 0.140290 | + | 0.0809965i | ||||
\(449\) | 26.3801 | 1.24495 | 0.622476 | − | 0.782639i | \(-0.286127\pi\) | ||||
0.622476 | + | 0.782639i | \(0.286127\pi\) | |||||||
\(450\) | −4.08928 | + | 14.4318i | −0.192770 | + | 0.680323i | ||||
\(451\) | 11.9875 | + | 6.92098i | 0.564469 | + | 0.325896i | ||||
\(452\) | −8.34722 | − | 14.4578i | −0.392620 | − | 0.680038i | ||||
\(453\) | 3.30897 | + | 0.769482i | 0.155469 | + | 0.0361534i | ||||
\(454\) | 4.42782 | + | 7.66921i | 0.207808 | + | 0.359934i | ||||
\(455\) | 4.44358 | − | 5.32976i | 0.208318 | − | 0.249863i | ||||
\(456\) | −8.32150 | − | 7.78470i | −0.389690 | − | 0.364552i | ||||
\(457\) | 39.1752 | 1.83254 | 0.916270 | − | 0.400561i | \(-0.131185\pi\) | ||||
0.916270 | + | 0.400561i | \(0.131185\pi\) | |||||||
\(458\) | 15.4179 | + | 8.90151i | 0.720430 | + | 0.415940i | ||||
\(459\) | −16.4955 | + | 6.24191i | −0.769945 | + | 0.291347i | ||||
\(460\) | 1.83488 | − | 2.20081i | 0.0855517 | − | 0.102613i | ||||
\(461\) | 0.0357305 | 0.00166413 | 0.000832067 | − | 1.00000i | \(-0.499735\pi\) | ||||
0.000832067 | 1.00000i | \(0.499735\pi\) | ||||||||
\(462\) | −36.9160 | − | 8.58460i | −1.71749 | − | 0.399392i | ||||
\(463\) | 8.82365 | 0.410070 | 0.205035 | − | 0.978755i | \(-0.434269\pi\) | ||||
0.205035 | + | 0.978755i | \(0.434269\pi\) | |||||||
\(464\) | −2.03276 | −0.0943684 | ||||||||
\(465\) | −17.8596 | − | 12.0845i | −0.828219 | − | 0.560404i | ||||
\(466\) | −0.695815 | −0.0322330 | ||||||||
\(467\) | 5.63272 | 0.260651 | 0.130326 | − | 0.991471i | \(-0.458398\pi\) | ||||
0.130326 | + | 0.991471i | \(0.458398\pi\) | |||||||
\(468\) | −0.180789 | − | 2.70921i | −0.00835697 | − | 0.125233i | ||||
\(469\) | −0.184883 | −0.00853711 | ||||||||
\(470\) | −3.07279 | − | 2.56187i | −0.141737 | − | 0.118170i | ||||
\(471\) | 10.2324 | + | 2.37948i | 0.471484 | + | 0.109641i | ||||
\(472\) | 2.39397 | + | 1.38216i | 0.110191 | + | 0.0636190i | ||||
\(473\) | −52.7013 | −2.42321 | ||||||||
\(474\) | −4.27457 | + | 4.56933i | −0.196338 | + | 0.209876i | ||||
\(475\) | −30.9816 | − | 11.0551i | −1.42153 | − | 0.507245i | ||||
\(476\) | 5.81900 | + | 10.0788i | 0.266713 | + | 0.461961i | ||||
\(477\) | −26.2994 | + | 1.75499i | −1.20417 | + | 0.0803555i | ||||
\(478\) | 2.71108 | + | 4.69573i | 0.124002 | + | 0.214778i | ||||
\(479\) | −16.0091 | − | 9.24288i | −0.731476 | − | 0.422318i | 0.0874856 | − | 0.996166i | \(-0.472117\pi\) |
−0.818962 | + | 0.573848i | \(0.805450\pi\) | |||||||
\(480\) | 3.08944 | − | 2.33567i | 0.141013 | − | 0.106608i | ||||
\(481\) | 4.48739 | 0.204607 | ||||||||
\(482\) | 19.9045 | + | 11.4919i | 0.906626 | + | 0.523441i | ||||
\(483\) | 5.55743 | + | 5.19894i | 0.252872 | + | 0.236560i | ||||
\(484\) | −14.8648 | + | 25.7466i | −0.675674 | + | 1.17030i | ||||
\(485\) | −21.1429 | + | 25.3594i | −0.960048 | + | 1.15151i | ||||
\(486\) | −14.1799 | + | 6.47542i | −0.643212 | + | 0.293731i | ||||
\(487\) | 4.58796 | + | 7.94657i | 0.207900 | + | 0.360094i | 0.951053 | − | 0.309028i | \(-0.100004\pi\) |
−0.743153 | + | 0.669122i | \(0.766670\pi\) | |||||||
\(488\) | 4.65692i | 0.210809i | ||||||||
\(489\) | −2.11519 | − | 0.491874i | −0.0956522 | − | 0.0222433i | ||||
\(490\) | −1.81371 | + | 10.4796i | −0.0819350 | + | 0.473419i | ||||
\(491\) | −1.65595 | − | 2.86819i | −0.0747321 | − | 0.129440i | 0.826238 | − | 0.563322i | \(-0.190477\pi\) |
−0.900970 | + | 0.433882i | \(0.857143\pi\) | |||||||
\(492\) | −1.09263 | − | 3.59426i | −0.0492595 | − | 0.162042i | ||||
\(493\) | −5.97529 | − | 3.44984i | −0.269114 | − | 0.155373i | ||||
\(494\) | 5.95449 | 0.267905 | ||||||||
\(495\) | −25.1648 | + | 34.6348i | −1.13107 | + | 1.55672i | ||||
\(496\) | 1.79672 | + | 5.26989i | 0.0806752 | + | 0.236625i | ||||
\(497\) | 38.8250 | 1.74154 | ||||||||
\(498\) | −6.94947 | − | 22.8607i | −0.311413 | − | 1.02441i | ||||
\(499\) | −18.6560 | − | 10.7710i | −0.835156 | − | 0.482177i | 0.0204589 | − | 0.999791i | \(-0.493487\pi\) |
−0.855615 | + | 0.517613i | \(0.826821\pi\) | |||||||
\(500\) | 5.49813 | − | 9.73502i | 0.245884 | − | 0.435363i | ||||
\(501\) | −14.0472 | + | 15.0158i | −0.627581 | + | 0.670856i | ||||
\(502\) | 3.90398 | − | 6.76189i | 0.174243 | − | 0.301798i | ||||
\(503\) | −17.3799 | + | 30.1028i | −0.774930 | + | 1.34222i | 0.159904 | + | 0.987133i | \(0.448881\pi\) |
−0.934834 | + | 0.355085i | \(0.884452\pi\) | |||||||
\(504\) | 5.72483 | + | 8.54593i | 0.255004 | + | 0.380666i | ||||
\(505\) | 17.5514 | − | 21.0517i | 0.781028 | − | 0.936789i | ||||
\(506\) | 7.08243 | − | 4.08904i | 0.314852 | − | 0.181780i | ||||
\(507\) | −15.4071 | − | 14.4132i | −0.684252 | − | 0.640113i | ||||
\(508\) | −5.17437 | + | 8.96227i | −0.229576 | + | 0.397637i | ||||
\(509\) | 9.19595 | + | 15.9279i | 0.407603 | + | 0.705990i | 0.994621 | − | 0.103585i | \(-0.0330313\pi\) |
−0.587017 | + | 0.809574i | \(0.699698\pi\) | |||||||
\(510\) | 13.0453 | − | 1.62255i | 0.577657 | − | 0.0718479i | ||||
\(511\) | − | 40.5580i | − | 1.79418i | ||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −12.0985 | − | 31.9729i | −0.534164 | − | 1.41164i | ||||
\(514\) | 6.11433 | + | 10.5903i | 0.269691 | + | 0.467119i | ||||
\(515\) | −12.4892 | − | 2.16151i | −0.550340 | − | 0.0952477i | ||||
\(516\) | 10.4450 | + | 9.77122i | 0.459816 | + | 0.430154i | ||||
\(517\) | −5.70914 | − | 9.88852i | −0.251088 | − | 0.434897i | ||||
\(518\) | −14.7222 | + | 8.49987i | −0.646857 | + | 0.373463i | ||||
\(519\) | 38.6465 | − | 11.7483i | 1.69639 | − | 0.515691i | ||||
\(520\) | −0.345132 | + | 1.99417i | −0.0151351 | + | 0.0874502i | ||||
\(521\) | −33.3768 | − | 19.2701i | −1.46226 | − | 0.844238i | −0.463148 | − | 0.886281i | \(-0.653280\pi\) |
−0.999116 | + | 0.0420428i | \(0.986613\pi\) | |||||||
\(522\) | −5.47256 | − | 2.69073i | −0.239527 | − | 0.117770i | ||||
\(523\) | −37.8881 | −1.65673 | −0.828365 | − | 0.560189i | \(-0.810729\pi\) | ||||
−0.828365 | + | 0.560189i | \(0.810729\pi\) | |||||||
\(524\) | 14.6750 | + | 8.47260i | 0.641079 | + | 0.370127i | ||||
\(525\) | 24.9795 | + | 16.0544i | 1.09020 | + | 0.700673i | ||||
\(526\) | − | 11.4714i | − | 0.500178i | ||||||
\(527\) | −3.66219 | + | 18.5401i | −0.159527 | + | 0.807620i | ||||
\(528\) | 10.5760 | − | 3.21504i | 0.460263 | − | 0.139916i | ||||
\(529\) | 21.3579 | 0.928606 | ||||||||
\(530\) | 19.3582 | + | 3.35034i | 0.840867 | + | 0.145529i | ||||
\(531\) | 4.61546 | + | 6.88988i | 0.200294 | + | 0.298995i | ||||
\(532\) | −19.5355 | + | 11.2788i | −0.846971 | + | 0.488999i | ||||
\(533\) | 1.70004 | + | 0.981518i | 0.0736369 | + | 0.0425143i | ||||
\(534\) | −2.02201 | + | 8.69519i | −0.0875011 | + | 0.376278i | ||||
\(535\) | −3.77796 | + | 1.38860i | −0.163335 | + | 0.0600344i | ||||
\(536\) | 0.0466974 | − | 0.0269608i | 0.00201702 | − | 0.00116453i | ||||
\(537\) | −14.4422 | − | 13.5106i | −0.623228 | − | 0.583026i | ||||
\(538\) | 3.40220 | + | 5.89278i | 0.146679 | + | 0.254056i | ||||
\(539\) | −15.1773 | + | 26.2878i | −0.653731 | + | 1.13230i | ||||
\(540\) | 11.4090 | − | 2.19862i | 0.490967 | − | 0.0946136i | ||||
\(541\) | 7.72420 | − | 13.3787i | 0.332089 | − | 0.575196i | −0.650832 | − | 0.759222i | \(-0.725580\pi\) |
0.982921 | + | 0.184026i | \(0.0589131\pi\) | |||||||
\(542\) | − | 31.7105i | − | 1.36208i | ||||||
\(543\) | −0.0699937 | − | 0.230248i | −0.00300372 | − | 0.00988089i | ||||
\(544\) | −2.93950 | − | 1.69712i | −0.126030 | − | 0.0727635i | ||||
\(545\) | −20.5111 | − | 17.1007i | −0.878599 | − | 0.732513i | ||||
\(546\) | −5.23535 | − | 1.21745i | −0.224052 | − | 0.0521020i | ||||
\(547\) | 0.0188280 | − | 0.0108704i | 0.000805029 | − | 0.000464784i | −0.499597 | − | 0.866258i | \(-0.666519\pi\) |
0.500402 | + | 0.865793i | \(0.333185\pi\) | |||||||
\(548\) | 7.94537 | − | 4.58726i | 0.339409 | − | 0.195958i | ||||
\(549\) | −6.16429 | + | 12.5373i | −0.263086 | + | 0.535079i | ||||
\(550\) | 24.3143 | − | 20.6654i | 1.03676 | − | 0.881174i | ||||
\(551\) | 6.68673 | − | 11.5818i | 0.284864 | − | 0.493400i | ||||
\(552\) | −2.16183 | − | 0.502719i | −0.0920134 | − | 0.0213972i | ||||
\(553\) | 6.19319 | + | 10.7269i | 0.263361 | + | 0.456155i | ||||
\(554\) | −28.8854 | −1.22722 | ||||||||
\(555\) | 2.37008 | + | 19.0555i | 0.100604 | + | 0.808859i | ||||
\(556\) | 18.2894i | 0.775642i | ||||||||
\(557\) | − | 6.44159i | − | 0.272939i | −0.990644 | − | 0.136469i | \(-0.956424\pi\) | ||
0.990644 | − | 0.136469i | \(-0.0435755\pi\) | |||||||
\(558\) | −2.13856 | + | 16.5658i | −0.0905327 | + | 0.701287i | ||||
\(559\) | −7.47397 | −0.316115 | ||||||||
\(560\) | −2.64499 | − | 7.19621i | −0.111771 | − | 0.304095i | ||||
\(561\) | 36.5446 | + | 8.49822i | 1.54291 | + | 0.358795i | ||||
\(562\) | 7.77372i | 0.327915i | ||||||||
\(563\) | 0.125330 | + | 0.217078i | 0.00528203 | + | 0.00914874i | 0.868654 | − | 0.495419i | \(-0.164985\pi\) |
−0.863372 | + | 0.504567i | \(0.831652\pi\) | |||||||
\(564\) | −0.701899 | + | 3.01835i | −0.0295553 | + | 0.127096i | ||||
\(565\) | −6.36607 | + | 36.7831i | −0.267822 | + | 1.54748i | ||||
\(566\) | 17.5057i | 0.735818i | ||||||||
\(567\) | 4.10022 | + | 30.5851i | 0.172193 | + | 1.28445i | ||||
\(568\) | −9.80635 | + | 5.66170i | −0.411465 | + | 0.237560i | ||||
\(569\) | 0.964911 | + | 1.67127i | 0.0404512 | + | 0.0700635i | 0.885542 | − | 0.464559i | \(-0.153787\pi\) |
−0.845091 | + | 0.534622i | \(0.820454\pi\) | |||||||
\(570\) | 3.14496 | + | 25.2854i | 0.131728 | + | 1.05909i | ||||
\(571\) | −28.1429 | + | 16.2483i | −1.17774 | + | 0.679970i | −0.955491 | − | 0.295020i | \(-0.904674\pi\) |
−0.222251 | + | 0.974990i | \(0.571340\pi\) | |||||||
\(572\) | −2.88810 | + | 5.00233i | −0.120757 | + | 0.209158i | ||||
\(573\) | −6.43832 | − | 21.1792i | −0.268965 | − | 0.884774i | ||||
\(574\) | −7.43665 | −0.310400 | ||||||||
\(575\) | −6.30267 | + | 1.15245i | −0.262840 | + | 0.0480604i | ||||
\(576\) | −2.69219 | − | 1.32368i | −0.112174 | − | 0.0551535i | ||||
\(577\) | 8.97782 | + | 5.18335i | 0.373752 | + | 0.215786i | 0.675096 | − | 0.737730i | \(-0.264102\pi\) |
−0.301345 | + | 0.953515i | \(0.597435\pi\) | |||||||
\(578\) | 2.73956 | + | 4.74505i | 0.113951 | + | 0.197368i | ||||
\(579\) | −12.6055 | + | 13.4747i | −0.523866 | + | 0.559989i | ||||
\(580\) | 3.49118 | + | 2.91070i | 0.144963 | + | 0.120860i | ||||
\(581\) | −47.2995 | −1.96231 | ||||||||
\(582\) | 24.9102 | + | 5.79270i | 1.03256 | + | 0.240115i | ||||
\(583\) | 48.5596 | + | 28.0359i | 2.01113 | + | 1.16113i | ||||
\(584\) | 5.91441 | + | 10.2441i | 0.244740 | + | 0.423902i | ||||
\(585\) | −3.56881 | + | 4.91183i | −0.147552 | + | 0.203079i | ||||
\(586\) | 8.96242 | − | 15.5234i | 0.370234 | − | 0.641264i | ||||
\(587\) | − | 34.7319i | − | 1.43354i | −0.697310 | − | 0.716770i | \(-0.745620\pi\) | ||
0.697310 | − | 0.716770i | \(-0.254380\pi\) | |||||||
\(588\) | 7.88198 | − | 2.39606i | 0.325047 | − | 0.0988120i | ||||
\(589\) | −35.9359 | − | 7.09833i | −1.48071 | − | 0.292482i | ||||
\(590\) | −2.13244 | − | 5.80172i | −0.0877911 | − | 0.238853i | ||||
\(591\) | 12.3757 | + | 40.7106i | 0.509069 | + | 1.67461i | ||||
\(592\) | 2.47900 | − | 4.29376i | 0.101886 | − | 0.176473i | ||||
\(593\) | −34.6846 | −1.42432 | −0.712162 | − | 0.702015i | \(-0.752284\pi\) | ||||
−0.712162 | + | 0.702015i | \(0.752284\pi\) | |||||||
\(594\) | 32.7283 | + | 5.34385i | 1.34286 | + | 0.219261i | ||||
\(595\) | 4.43790 | − | 25.6421i | 0.181936 | − | 1.05123i | ||||
\(596\) | −13.6580 | − | 7.88548i | −0.559455 | − | 0.323002i | ||||
\(597\) | 0.627009 | + | 2.06258i | 0.0256618 | + | 0.0844158i | ||||
\(598\) | 1.00441 | − | 0.579899i | 0.0410735 | − | 0.0237138i | ||||
\(599\) | 15.6420 | − | 9.03093i | 0.639116 | − | 0.368994i | −0.145158 | − | 0.989409i | \(-0.546369\pi\) |
0.784274 | + | 0.620415i | \(0.213036\pi\) | |||||||
\(600\) | −8.65043 | − | 0.412336i | −0.353152 | − | 0.0168335i | ||||
\(601\) | −30.2679 | − | 17.4752i | −1.23465 | − | 0.712826i | −0.266656 | − | 0.963792i | \(-0.585919\pi\) |
−0.967996 | + | 0.250965i | \(0.919252\pi\) | |||||||
\(602\) | 24.5206 | − | 14.1570i | 0.999385 | − | 0.576995i | ||||
\(603\) | 0.161406 | − | 0.0107708i | 0.00657294 | − | 0.000438621i | ||||
\(604\) | 1.96141i | 0.0798087i | ||||||||
\(605\) | 62.3963 | − | 22.9339i | 2.53677 | − | 0.932398i | ||||
\(606\) | −20.6788 | − | 4.80873i | −0.840018 | − | 0.195341i | ||||
\(607\) | 28.2525 | − | 16.3116i | 1.14674 | − | 0.662068i | 0.198646 | − | 0.980071i | \(-0.436346\pi\) |
0.948090 | + | 0.318004i | \(0.103012\pi\) | |||||||
\(608\) | 3.28949 | − | 5.69756i | 0.133406 | − | 0.231067i | ||||
\(609\) | −8.24715 | + | 8.81584i | −0.334191 | + | 0.357236i | ||||
\(610\) | 6.66823 | − | 7.99808i | 0.269989 | − | 0.323833i | ||||
\(611\) | −0.809658 | − | 1.40237i | −0.0327552 | − | 0.0567338i | ||||
\(612\) | −5.66723 | − | 8.45993i | −0.229084 | − | 0.341973i | ||||
\(613\) | 10.9824 | − | 19.0221i | 0.443576 | − | 0.768296i | −0.554376 | − | 0.832267i | \(-0.687043\pi\) |
0.997952 | + | 0.0639701i | \(0.0203762\pi\) | |||||||
\(614\) | 6.41230 | + | 3.70214i | 0.258779 | + | 0.149406i | ||||
\(615\) | −3.27007 | + | 7.73754i | −0.131862 | + | 0.312008i | ||||
\(616\) | − | 21.8822i | − | 0.881658i | ||||||
\(617\) | −1.14669 | + | 1.98612i | −0.0461639 | + | 0.0799581i | −0.888184 | − | 0.459488i | \(-0.848033\pi\) |
0.842020 | + | 0.539446i | \(0.181366\pi\) | |||||||
\(618\) | 2.85554 | + | 9.39347i | 0.114867 | + | 0.377861i | ||||
\(619\) | − | 16.1427i | − | 0.648830i | −0.945915 | − | 0.324415i | \(-0.894833\pi\) | ||
0.945915 | − | 0.324415i | \(-0.105167\pi\) | |||||||
\(620\) | 4.46015 | − | 11.6236i | 0.179124 | − | 0.466813i | ||||
\(621\) | −5.15459 | − | 4.21499i | −0.206847 | − | 0.169142i | ||||
\(622\) | − | 7.06882i | − | 0.283434i | ||||||
\(623\) | 15.3045 | + | 8.83608i | 0.613163 | + | 0.354010i | ||||
\(624\) | 1.49987 | − | 0.455949i | 0.0600428 | − | 0.0182526i | ||||
\(625\) | −23.3824 | + | 8.84675i | −0.935295 | + | 0.353870i | ||||
\(626\) | −9.11672 | + | 15.7906i | −0.364377 | + | 0.631120i | ||||
\(627\) | −16.4719 | + | 70.8335i | −0.657824 | + | 2.82882i | ||||
\(628\) | 6.06530i | 0.242032i | ||||||||
\(629\) | 14.5741 | − | 8.41434i | 0.581106 | − | 0.335502i | ||||
\(630\) | 2.40471 | − | 22.8747i | 0.0958057 | − | 0.911348i | ||||
\(631\) | 31.2769 | − | 18.0577i | 1.24511 | − | 0.718866i | 0.274982 | − | 0.961449i | \(-0.411328\pi\) |
0.970131 | + | 0.242583i | \(0.0779948\pi\) | |||||||
\(632\) | −3.12853 | − | 1.80626i | −0.124446 | − | 0.0718490i | ||||
\(633\) | −35.4052 | − | 33.1213i | −1.40723 | − | 1.31645i | ||||
\(634\) | 4.15118 | − | 7.19006i | 0.164865 | − | 0.285554i | ||||
\(635\) | 21.7198 | − | 7.98319i | 0.861925 | − | 0.316803i | ||||
\(636\) | −4.42608 | − | 14.5598i | −0.175506 | − | 0.577335i | ||||
\(637\) | −2.15241 | + | 3.72807i | −0.0852814 | + | 0.147712i | ||||
\(638\) | 6.48651 | + | 11.2350i | 0.256803 | + | 0.444796i | ||||
\(639\) | −33.8948 | + | 2.26184i | −1.34086 | + | 0.0894771i | ||||
\(640\) | 1.71746 | + | 1.43190i | 0.0678886 | + | 0.0566007i | ||||
\(641\) | 8.80615 | + | 15.2527i | 0.347822 | + | 0.602445i | 0.985862 | − | 0.167558i | \(-0.0535880\pi\) |
−0.638040 | + | 0.770003i | \(0.720255\pi\) | |||||||
\(642\) | 2.27683 | + | 2.12996i | 0.0898595 | + | 0.0840629i | ||||
\(643\) | 8.78010 | 0.346253 | 0.173127 | − | 0.984900i | \(-0.444613\pi\) | ||||
0.173127 | + | 0.984900i | \(0.444613\pi\) | |||||||
\(644\) | −2.19685 | + | 3.80506i | −0.0865682 | + | 0.149940i | ||||
\(645\) | −3.94749 | − | 31.7379i | −0.155432 | − | 1.24968i | ||||
\(646\) | 19.3389 | − | 11.1653i | 0.760880 | − | 0.439294i | ||||
\(647\) | − | 34.8674i | − | 1.37078i | −0.728177 | − | 0.685389i | \(-0.759632\pi\) | ||
0.728177 | − | 0.685389i | \(-0.240368\pi\) | |||||||
\(648\) | −5.49573 | − | 7.12720i | −0.215892 | − | 0.279983i | ||||
\(649\) | − | 17.6418i | − | 0.692501i | ||||||
\(650\) | 3.44820 | − | 2.93072i | 0.135249 | − | 0.114952i | ||||
\(651\) | 30.1445 | + | 13.5885i | 1.18145 | + | 0.532573i | ||||
\(652\) | − | 1.25379i | − | 0.0491022i | ||||||
\(653\) | −16.8526 | −0.659492 | −0.329746 | − | 0.944070i | \(-0.606963\pi\) | ||||
−0.329746 | + | 0.944070i | \(0.606963\pi\) | |||||||
\(654\) | −4.68524 | + | 20.1477i | −0.183207 | + | 0.787839i | ||||
\(655\) | −13.0718 | − | 35.5644i | −0.510757 | − | 1.38962i | ||||
\(656\) | 1.87833 | − | 1.08446i | 0.0733367 | − | 0.0423409i | ||||
\(657\) | 2.36280 | + | 35.4077i | 0.0921816 | + | 1.38139i | ||||
\(658\) | 5.31265 | + | 3.06726i | 0.207109 | + | 0.119574i | ||||
\(659\) | 9.17901i | 0.357563i | 0.983889 | + | 0.178782i | \(0.0572156\pi\) | ||||
−0.983889 | + | 0.178782i | \(0.942784\pi\) | |||||||
\(660\) | −22.7675 | − | 9.62210i | −0.886225 | − | 0.374540i | ||||
\(661\) | 16.5167 | + | 28.6077i | 0.642425 | + | 1.11271i | 0.984890 | + | 0.173182i | \(0.0554048\pi\) |
−0.342465 | + | 0.939530i | \(0.611262\pi\) | |||||||
\(662\) | 14.6191 | − | 8.44036i | 0.568189 | − | 0.328044i | ||||
\(663\) | 5.18267 | + | 1.20520i | 0.201278 | + | 0.0468060i | ||||
\(664\) | 11.9468 | − | 6.89749i | 0.463626 | − | 0.267675i | ||||
\(665\) | 49.7015 | + | 8.60188i | 1.92734 | + | 0.333566i | ||||
\(666\) | 12.3575 | − | 8.27819i | 0.478844 | − | 0.320773i | ||||
\(667\) | − | 2.60484i | − | 0.100860i | ||||||
\(668\) | −10.2810 | − | 5.93575i | −0.397784 | − | 0.229661i | ||||
\(669\) | 2.13346 | + | 1.99584i | 0.0824845 | + | 0.0771636i | ||||
\(670\) | −0.118806 | − | 0.0205618i | −0.00458987 | − | 0.000794373i | ||||
\(671\) | 25.7386 | − | 14.8602i | 0.993628 | − | 0.573671i | ||||
\(672\) | −4.05713 | + | 4.33689i | −0.156507 | + | 0.167299i | ||||
\(673\) | −12.9425 | − | 22.4170i | −0.498896 | − | 0.864113i | 0.501103 | − | 0.865388i | \(-0.332928\pi\) |
−0.999999 | + | 0.00127433i | \(0.999594\pi\) | |||||||
\(674\) | −26.7132 | −1.02895 | ||||||||
\(675\) | −22.7428 | − | 12.5605i | −0.875370 | − | 0.483454i | ||||
\(676\) | 6.09042 | − | 10.5489i | 0.234247 | − | 0.405727i | ||||
\(677\) | −23.3498 | + | 13.4810i | −0.897405 | + | 0.518117i | −0.876357 | − | 0.481661i | \(-0.840034\pi\) |
−0.0210477 | + | 0.999778i | \(0.506700\pi\) | |||||||
\(678\) | 27.6655 | − | 8.41012i | 1.06249 | − | 0.322989i | ||||
\(679\) | 25.3138 | − | 43.8447i | 0.971454 | − | 1.68261i | ||||
\(680\) | 2.61837 | + | 7.12380i | 0.100410 | + | 0.273185i | ||||
\(681\) | −14.6753 | + | 4.46119i | −0.562360 | + | 0.170953i | ||||
\(682\) | 23.3932 | − | 26.7466i | 0.895771 | − | 1.02418i | ||||
\(683\) | −23.6261 | −0.904026 | −0.452013 | − | 0.892011i | \(-0.649294\pi\) | ||||
−0.452013 | + | 0.892011i | \(0.649294\pi\) | |||||||
\(684\) | 16.3977 | − | 10.9847i | 0.626981 | − | 0.420009i | ||||
\(685\) | −20.2143 | − | 3.49851i | −0.772350 | − | 0.133671i | ||||
\(686\) | 7.69312i | 0.293725i | ||||||||
\(687\) | −21.0658 | + | 22.5184i | −0.803709 | + | 0.859129i | ||||
\(688\) | −4.12891 | + | 7.15148i | −0.157413 | + | 0.272648i | ||||
\(689\) | 6.88661 | + | 3.97599i | 0.262359 | + | 0.151473i | ||||
\(690\) | 2.99301 | + | 3.95891i | 0.113942 | + | 0.150713i | ||||
\(691\) | −21.2560 | − | 36.8165i | −0.808616 | − | 1.40056i | −0.913822 | − | 0.406114i | \(-0.866884\pi\) |
0.105206 | − | 0.994450i | \(-0.466450\pi\) | |||||||
\(692\) | 11.6604 | + | 20.1964i | 0.443261 | + | 0.767751i | ||||
\(693\) | 28.9651 | − | 58.9109i | 1.10029 | − | 2.23784i | ||||
\(694\) | −17.9299 | − | 10.3518i | −0.680608 | − | 0.392949i | ||||
\(695\) | 26.1885 | − | 31.4113i | 0.993386 | − | 1.19150i | ||||
\(696\) | 0.797471 | − | 3.42934i | 0.0302281 | − | 0.129989i | ||||
\(697\) | 7.36182 | 0.278849 | ||||||||
\(698\) | −29.0198 | −1.09842 | ||||||||
\(699\) | 0.272975 | − | 1.17387i | 0.0103249 | − | 0.0443997i | ||||
\(700\) | −5.76157 | + | 16.1466i | −0.217767 | + | 0.610283i | ||||
\(701\) | −30.3007 | − | 17.4941i | −1.14444 | − | 0.660744i | −0.196916 | − | 0.980420i | \(-0.563093\pi\) |
−0.947527 | + | 0.319676i | \(0.896426\pi\) | |||||||
\(702\) | 4.64146 | + | 0.757853i | 0.175181 | + | 0.0286033i | ||||
\(703\) | 16.3093 | + | 28.2486i | 0.615118 | + | 1.06542i | ||||
\(704\) | 3.19099 | + | 5.52696i | 0.120265 | + | 0.208305i | ||||
\(705\) | 5.52745 | − | 4.17885i | 0.208176 | − | 0.157385i | ||||
\(706\) | −13.3349 | − | 7.69893i | −0.501867 | − | 0.289753i | ||||
\(707\) | −21.0138 | + | 36.3971i | −0.790307 | + | 1.36885i | ||||
\(708\) | −3.27093 | + | 3.49648i | −0.122929 | + | 0.131406i | ||||
\(709\) | − | 22.0190i | − | 0.826941i | −0.910517 | − | 0.413471i | \(-0.864316\pi\) | ||
0.910517 | − | 0.413471i | \(-0.135684\pi\) | |||||||
\(710\) | 24.9490 | + | 4.31794i | 0.936319 | + | 0.162049i | ||||
\(711\) | −6.03167 | − | 9.00396i | −0.226205 | − | 0.337675i | ||||
\(712\) | −5.15412 | −0.193159 | ||||||||
\(713\) | −6.75302 | + | 2.30238i | −0.252903 | + | 0.0862248i | ||||
\(714\) | −19.2862 | + | 5.86285i | −0.721766 | + | 0.219411i | ||||
\(715\) | 12.1230 | − | 4.45585i | 0.453375 | − | 0.166639i | ||||
\(716\) | 5.70902 | − | 9.88831i | 0.213356 | − | 0.369543i | ||||
\(717\) | −8.98545 | + | 2.73151i | −0.335568 | + | 0.102010i | ||||
\(718\) | −11.0965 | + | 6.40655i | −0.414116 | + | 0.239090i | ||||
\(719\) | 25.1655 | − | 43.5879i | 0.938515 | − | 1.62556i | 0.170271 | − | 0.985397i | \(-0.445536\pi\) |
0.768243 | − | 0.640158i | \(-0.221131\pi\) | |||||||
\(720\) | 2.72834 | + | 6.12831i | 0.101679 | + | 0.228388i | ||||
\(721\) | 19.4354 | 0.723812 | ||||||||
\(722\) | 12.1415 | + | 21.0297i | 0.451859 | + | 0.782644i | ||||
\(723\) | −27.1960 | + | 29.0713i | −1.01143 | + | 1.08117i | ||||
\(724\) | 0.120326 | − | 0.0694702i | 0.00447188 | − | 0.00258184i | ||||
\(725\) | −1.82814 | − | 9.99802i | −0.0678956 | − | 0.371317i | ||||
\(726\) | −37.6039 | − | 35.1782i | −1.39561 | − | 1.30559i | ||||
\(727\) | −12.0318 | − | 6.94655i | −0.446234 | − | 0.257633i | 0.260004 | − | 0.965607i | \(-0.416276\pi\) |
−0.706238 | + | 0.707974i | \(0.749609\pi\) | |||||||
\(728\) | − | 3.10328i | − | 0.115015i | ||||||
\(729\) | −5.36136 | − | 26.4623i | −0.198569 | − | 0.980087i | ||||
\(730\) | 4.51067 | − | 26.0626i | 0.166947 | − | 0.964620i | ||||
\(731\) | −24.2739 | + | 14.0145i | −0.897802 | + | 0.518346i | ||||
\(732\) | −7.85640 | − | 1.82696i | −0.290381 | − | 0.0675263i | ||||
\(733\) | −19.0114 | + | 10.9762i | −0.702201 | + | 0.405416i | −0.808167 | − | 0.588954i | \(-0.799540\pi\) |
0.105966 | + | 0.994370i | \(0.466207\pi\) | |||||||
\(734\) | 0.284663 | + | 0.493050i | 0.0105071 | + | 0.0181988i | ||||
\(735\) | −16.9679 | − | 7.17104i | −0.625871 | − | 0.264508i | ||||
\(736\) | − | 1.28143i | − | 0.0472343i | ||||||
\(737\) | −0.298022 | − | 0.172063i | −0.0109778 | − | 0.00633802i | ||||
\(738\) | 6.49230 | − | 0.433239i | 0.238985 | − | 0.0159478i | ||||
\(739\) | 21.5748 | − | 12.4562i | 0.793643 | − | 0.458210i | −0.0476007 | − | 0.998866i | \(-0.515158\pi\) |
0.841243 | + | 0.540657i | \(0.181824\pi\) | |||||||
\(740\) | −10.4058 | + | 3.82469i | −0.382525 | + | 0.140598i | ||||
\(741\) | −2.33601 | + | 10.0454i | −0.0858154 | + | 0.369029i | ||||
\(742\) | −30.1248 | −1.10592 | ||||||||
\(743\) | − | 23.7503i | − | 0.871315i | −0.900112 | − | 0.435658i | \(-0.856516\pi\) | ||
0.900112 | − | 0.435658i | \(-0.143484\pi\) | |||||||
\(744\) | −9.59538 | + | 0.963701i | −0.351784 | + | 0.0353310i | ||||
\(745\) | 12.1660 | + | 33.0999i | 0.445727 | + | 1.21269i | ||||
\(746\) | − | 26.2391i | − | 0.960683i | ||||||
\(747\) | 41.2931 | − | 2.75554i | 1.51084 | − | 0.100820i | ||||
\(748\) | 21.6620i | 0.792041i | ||||||||
\(749\) | 5.34508 | − | 3.08598i | 0.195305 | − | 0.112759i | ||||
\(750\) | 14.2664 | + | 13.0947i | 0.520934 | + | 0.478151i | ||||
\(751\) | −16.4353 | + | 28.4669i | −0.599734 | + | 1.03877i | 0.393126 | + | 0.919485i | \(0.371394\pi\) |
−0.992860 | + | 0.119286i | \(0.961940\pi\) | |||||||
\(752\) | −1.78914 | −0.0652434 | ||||||||
\(753\) | 9.87598 | + | 9.23891i | 0.359901 | + | 0.336685i | ||||
\(754\) | 0.919902 | + | 1.59332i | 0.0335009 | + | 0.0580252i | ||||
\(755\) | 2.80854 | − | 3.36865i | 0.102213 | − | 0.122598i | ||||
\(756\) | −16.6632 | + | 6.30535i | −0.606035 | + | 0.229323i | ||||
\(757\) | 10.9423 | + | 18.9527i | 0.397706 | + | 0.688848i | 0.993443 | − | 0.114333i | \(-0.0364729\pi\) |
−0.595736 | + | 0.803180i | \(0.703140\pi\) | |||||||
\(758\) | −7.36256 | + | 12.7523i | −0.267420 | + | 0.463185i | ||||
\(759\) | 4.11985 | + | 13.5525i | 0.149541 | + | 0.491924i | ||||
\(760\) | −13.8079 | + | 5.07513i | −0.500865 | + | 0.184094i | ||||
\(761\) | −8.15330 | + | 14.1219i | −0.295557 | + | 0.511919i | −0.975114 | − | 0.221703i | \(-0.928838\pi\) |
0.679557 | + | 0.733622i | \(0.262172\pi\) | |||||||
\(762\) | −13.0897 | − | 12.2453i | −0.474191 | − | 0.443602i | ||||
\(763\) | 35.4624 | + | 20.4742i | 1.28382 | + | 0.741216i | ||||
\(764\) | 11.0681 | − | 6.39017i | 0.400430 | − | 0.231188i | ||||
\(765\) | −2.38051 | + | 22.6445i | −0.0860675 | + | 0.818713i | ||||
\(766\) | −15.9925 | + | 9.23329i | −0.577833 | + | 0.333612i | ||||
\(767\) | − | 2.50192i | − | 0.0903391i | ||||||
\(768\) | 0.392310 | − | 1.68704i | 0.0141563 | − | 0.0608757i | ||||
\(769\) | −15.5847 | + | 26.9935i | −0.562000 | + | 0.973412i | 0.435322 | + | 0.900275i | \(0.356634\pi\) |
−0.997322 | + | 0.0731373i | \(0.976699\pi\) | |||||||
\(770\) | −31.3330 | + | 37.5818i | −1.12916 | + | 1.35435i | ||||
\(771\) | −20.2650 | + | 6.16040i | −0.729825 | + | 0.221861i | ||||
\(772\) | −9.22586 | − | 5.32655i | −0.332046 | − | 0.191707i | ||||
\(773\) | 3.32319i | 0.119527i | 0.998213 | + | 0.0597635i | \(0.0190346\pi\) | ||||
−0.998213 | + | 0.0597635i | \(0.980965\pi\) | |||||||
\(774\) | −20.5821 | + | 13.7878i | −0.739808 | + | 0.495590i | ||||
\(775\) | −24.3039 | + | 13.5765i | −0.873021 | + | 0.487683i | ||||
\(776\) | 14.7656i | 0.530055i | ||||||||
\(777\) | −8.56392 | − | 28.1715i | −0.307229 | − | 1.01065i | ||||
\(778\) | −7.48029 | + | 12.9562i | −0.268181 | + | 0.464504i | ||||
\(779\) | 14.2692i | 0.511249i | ||||||||
\(780\) | −3.22884 | − | 1.36458i | −0.115611 | − | 0.0488600i | ||||
\(781\) | 62.5839 | + | 36.1329i | 2.23943 | + | 1.29294i | ||||
\(782\) | 2.17475 | − | 3.76677i | 0.0777688 | − | 0.134700i | ||||
\(783\) | 6.68629 | − | 8.17681i | 0.238949 | − | 0.292215i | ||||
\(784\) | 2.37814 | + | 4.11906i | 0.0849337 | + | 0.147109i | ||||
\(785\) | 8.68489 | − | 10.4169i | 0.309977 | − | 0.371796i | ||||
\(786\) | −20.0507 | + | 21.4333i | −0.715185 | + | 0.764501i | ||||
\(787\) | −7.97092 | + | 13.8060i | −0.284133 | + | 0.492132i | −0.972398 | − | 0.233326i | \(-0.925039\pi\) |
0.688266 | + | 0.725459i | \(0.258372\pi\) | |||||||
\(788\) | −21.2751 | + | 12.2832i | −0.757893 | + | 0.437570i | ||||
\(789\) | 19.3527 | + | 4.50036i | 0.688975 | + | 0.160217i | ||||
\(790\) | 2.78675 | + | 7.58191i | 0.0991482 | + | 0.269752i | ||||
\(791\) | − | 57.2409i | − | 2.03525i | ||||||
\(792\) | 1.27480 | + | 19.1035i | 0.0452979 | + | 0.678812i | ||||
\(793\) | 3.65019 | − | 2.10744i | 0.129622 | − | 0.0748374i | ||||
\(794\) | 9.37611 | + | 5.41330i | 0.332746 | + | 0.192111i | ||||
\(795\) | −13.2466 | + | 31.3436i | −0.469807 | + | 1.11164i | ||||
\(796\) | −1.07789 | + | 0.622319i | −0.0382048 | + | 0.0220575i | ||||
\(797\) | 4.62644 | − | 2.67108i | 0.163877 | − | 0.0946144i | −0.415819 | − | 0.909448i | \(-0.636505\pi\) |
0.579695 | + | 0.814833i | \(0.303172\pi\) | |||||||
\(798\) | −11.3638 | − | 37.3819i | −0.402275 | − | 1.32330i | ||||
\(799\) | −5.25919 | − | 3.03640i | −0.186057 | − | 0.107420i | ||||
\(800\) | −0.899342 | − | 4.91845i | −0.0317966 | − | 0.173894i | ||||
\(801\) | −13.8758 | − | 6.82242i | −0.490279 | − | 0.241058i | ||||
\(802\) | −15.2743 | −0.539354 | ||||||||
\(803\) | 37.7456 | − | 65.3774i | 1.33201 | − | 2.30712i | ||||
\(804\) | 0.0271639 | + | 0.0893572i | 0.000957998 | + | 0.00315139i | ||||
\(805\) | 9.22147 | − | 3.38938i | 0.325014 | − | 0.119460i | ||||
\(806\) | 3.31757 | − | 3.79314i | 0.116856 | − | 0.133608i | ||||
\(807\) | −11.2760 | + | 3.42783i | −0.396936 | + | 0.120665i | ||||
\(808\) | − | 12.2575i | − | 0.431216i | ||||||
\(809\) | −3.07180 | + | 5.32052i | −0.107999 | + | 0.187059i | −0.914959 | − | 0.403546i | \(-0.867778\pi\) |
0.806961 | + | 0.590605i | \(0.201111\pi\) | |||||||
\(810\) | −0.766725 | + | 20.1100i | −0.0269400 | + | 0.706593i | ||||
\(811\) | −20.9582 | − | 36.3006i | −0.735941 | − | 1.27469i | −0.954309 | − | 0.298821i | \(-0.903407\pi\) |
0.218368 | − | 0.975866i | \(-0.429927\pi\) | |||||||
\(812\) | −6.03603 | − | 3.48490i | −0.211823 | − | 0.122296i | ||||
\(813\) | 53.4968 | + | 12.4404i | 1.87622 | + | 0.436303i | ||||
\(814\) | −31.6419 | −1.10905 | ||||||||
\(815\) | −1.79530 | + | 2.15333i | −0.0628865 | + | 0.0754280i | ||||
\(816\) | 4.01630 | − | 4.29325i | 0.140599 | − | 0.150294i | ||||
\(817\) | −27.1640 | − | 47.0495i | −0.950349 | − | 1.64605i | ||||
\(818\) | −8.93038 | − | 5.15596i | −0.312243 | − | 0.180274i | ||||
\(819\) | 4.10776 | − | 8.35461i | 0.143537 | − | 0.291934i | ||||
\(820\) | −4.77880 | − | 0.827069i | −0.166883 | − | 0.0288825i | ||||
\(821\) | 41.5376 | 1.44967 | 0.724836 | − | 0.688921i | \(-0.241915\pi\) | ||||
0.724836 | + | 0.688921i | \(0.241915\pi\) | |||||||
\(822\) | 4.62183 | + | 15.2038i | 0.161205 | + | 0.530292i | ||||
\(823\) | −1.28219 | + | 2.22082i | −0.0446945 | + | 0.0774131i | −0.887507 | − | 0.460794i | \(-0.847565\pi\) |
0.842813 | + | 0.538207i | \(0.180898\pi\) | |||||||
\(824\) | −4.90895 | + | 2.83419i | −0.171012 | + | 0.0987336i | ||||
\(825\) | 25.3245 | + | 49.1263i | 0.881685 | + | 1.71036i | ||||
\(826\) | 4.73906 | + | 8.20830i | 0.164893 | + | 0.285603i | ||||
\(827\) | −4.32024 | + | 2.49429i | −0.150230 | + | 0.0867350i | −0.573230 | − | 0.819394i | \(-0.694310\pi\) |
0.423001 | + | 0.906129i | \(0.360977\pi\) | |||||||
\(828\) | 1.69621 | − | 3.44986i | 0.0589474 | − | 0.119891i | ||||
\(829\) | − | 15.3259i | − | 0.532292i | −0.963933 | − | 0.266146i | \(-0.914250\pi\) | ||
0.963933 | − | 0.266146i | \(-0.0857503\pi\) | |||||||
\(830\) | −30.3947 | − | 5.26042i | −1.05501 | − | 0.182592i | ||||
\(831\) | 11.3320 | − | 48.7307i | 0.393104 | − | 1.69045i | ||||
\(832\) | 0.452539 | + | 0.783821i | 0.0156890 | + | 0.0271741i | ||||
\(833\) | 16.1440i | 0.559356i | ||||||||
\(834\) | −30.8548 | − | 7.17511i | −1.06842 | − | 0.248454i | ||||
\(835\) | 9.15786 | + | 24.9158i | 0.316921 | + | 0.862246i | ||||
\(836\) | −41.9869 | −1.45215 | ||||||||
\(837\) | −27.1082 | − | 10.1068i | −0.936996 | − | 0.349341i | ||||
\(838\) | − | 21.4031i | − | 0.739359i | ||||||
\(839\) | 52.0333i | 1.79639i | 0.439598 | + | 0.898195i | \(0.355121\pi\) | ||||
−0.439598 | + | 0.898195i | \(0.644879\pi\) | |||||||
\(840\) | 13.1779 | − | 1.63905i | 0.454682 | − | 0.0565524i | ||||
\(841\) | −24.8679 | −0.857514 | ||||||||
\(842\) | −9.22392 | − | 15.9763i | −0.317877 | − | 0.550579i | ||||
\(843\) | −13.1146 | − | 3.04971i | −0.451689 | − | 0.105038i | ||||
\(844\) | 13.9957 | − | 24.2412i | 0.481751 | − | 0.834417i | ||||
\(845\) | −25.5650 | + | 9.39649i | −0.879463 | + | 0.323249i | ||||
\(846\) | −4.81671 | − | 2.36826i | −0.165602 | − | 0.0814225i | ||||
\(847\) | −88.2787 | + | 50.9677i | −3.03329 | + | 1.75127i | ||||
\(848\) | 7.60886 | − | 4.39298i | 0.261289 | − | 0.150855i | ||||
\(849\) | −29.5327 | − | 6.86765i | −1.01356 | − | 0.235697i | ||||
\(850\) | 5.70360 | − | 15.9841i | 0.195632 | − | 0.548250i | ||||
\(851\) | 5.50217 | + | 3.17668i | 0.188612 | + | 0.108895i | ||||
\(852\) | −5.70436 | − | 18.7648i | −0.195428 | − | 0.642872i | ||||
\(853\) | − | 52.5513i | − | 1.79932i | −0.436588 | − | 0.899661i | \(-0.643813\pi\) | ||
0.436588 | − | 0.899661i | \(-0.356187\pi\) | |||||||
\(854\) | −7.98370 | + | 13.8282i | −0.273197 | + | 0.473190i | ||||
\(855\) | −43.8913 | − | 4.61408i | −1.50105 | − | 0.157798i | ||||
\(856\) | −0.900033 | + | 1.55890i | −0.0307625 | + | 0.0532822i | ||||
\(857\) | −6.10310 | − | 10.5709i | −0.208478 | − | 0.361094i | 0.742757 | − | 0.669561i | \(-0.233518\pi\) |
−0.951235 | + | 0.308466i | \(0.900184\pi\) | |||||||
\(858\) | −7.30608 | − | 6.83479i | −0.249426 | − | 0.233336i | ||||
\(859\) | 18.3031 | − | 10.5673i | 0.624494 | − | 0.360552i | −0.154122 | − | 0.988052i | \(-0.549255\pi\) |
0.778617 | + | 0.627500i | \(0.215922\pi\) | |||||||
\(860\) | 17.3314 | − | 6.37022i | 0.590997 | − | 0.217223i | ||||
\(861\) | 2.91747 | − | 12.5459i | 0.0994272 | − | 0.427563i | ||||
\(862\) | 10.6515 | + | 6.14966i | 0.362792 | + | 0.209458i | ||||
\(863\) | 13.5233 | − | 7.80768i | 0.460339 | − | 0.265777i | −0.251848 | − | 0.967767i | \(-0.581038\pi\) |
0.712187 | + | 0.701990i | \(0.247705\pi\) | |||||||
\(864\) | 3.28927 | − | 4.02252i | 0.111903 | − | 0.136849i | ||||
\(865\) | 8.89288 | − | 51.3830i | 0.302367 | − | 1.74707i | ||||
\(866\) | −34.2578 | −1.16413 | ||||||||
\(867\) | −9.07983 | + | 2.76020i | −0.308367 | + | 0.0937413i | ||||
\(868\) | −3.69941 | + | 18.7286i | −0.125566 | + | 0.635689i | ||||
\(869\) | 23.0550i | 0.782087i | ||||||||
\(870\) | −6.28008 | + | 4.74785i | −0.212915 | + | 0.160967i | ||||
\(871\) | −0.0422648 | − | 0.0244016i | −0.00143209 | − | 0.000826816i | ||||
\(872\) | −11.9427 | −0.404430 | ||||||||
\(873\) | −19.5450 | + | 39.7518i | −0.661498 | + | 1.34539i | ||||
\(874\) | 7.30105 | + | 4.21526i | 0.246962 | + | 0.142583i | ||||
\(875\) | 33.0155 | − | 19.4811i | 1.11613 | − | 0.658582i | ||||
\(876\) | −19.6024 | + | 5.95898i | −0.662303 | + | 0.201335i | ||||
\(877\) | −25.3816 | + | 14.6541i | −0.857076 | + | 0.494833i | −0.863032 | − | 0.505149i | \(-0.831438\pi\) |
0.00595583 | + | 0.999982i | \(0.498104\pi\) | |||||||
\(878\) | −8.21787 | − | 14.2338i | −0.277340 | − | 0.480366i | ||||
\(879\) | 22.6724 | + | 21.2099i | 0.764722 | + | 0.715392i | ||||
\(880\) | 2.43363 | − | 14.0615i | 0.0820377 | − | 0.474013i | ||||
\(881\) | −1.89020 | − | 3.27392i | −0.0636825 | − | 0.110301i | 0.832426 | − | 0.554136i | \(-0.186951\pi\) |
−0.896109 | + | 0.443834i | \(0.853618\pi\) | |||||||
\(882\) | 0.950066 | + | 14.2372i | 0.0319904 | + | 0.479391i | ||||
\(883\) | 23.4774 | 0.790078 | 0.395039 | − | 0.918664i | \(-0.370731\pi\) | ||||
0.395039 | + | 0.918664i | \(0.370731\pi\) | |||||||
\(884\) | 3.07206i | 0.103324i | ||||||||
\(885\) | 10.6243 | − | 1.32143i | 0.357131 | − | 0.0444193i | ||||
\(886\) | 3.14960 | + | 5.45527i | 0.105813 | + | 0.183273i | ||||
\(887\) | 15.3302 | − | 26.5527i | 0.514738 | − | 0.891553i | −0.485115 | − | 0.874450i | \(-0.661222\pi\) |
0.999854 | − | 0.0171029i | \(-0.00544429\pi\) | |||||||
\(888\) | 6.27120 | + | 5.86666i | 0.210448 | + | 0.196872i | ||||
\(889\) | −30.7293 | + | 17.7416i | −1.03063 | + | 0.595034i | ||||
\(890\) | 8.85200 | + | 7.38017i | 0.296720 | + | 0.247384i | ||||
\(891\) | −21.8549 | + | 53.1175i | −0.732168 | + | 1.77950i | ||||
\(892\) | −0.843359 | + | 1.46074i | −0.0282377 | + | 0.0489092i | ||||
\(893\) | 5.88537 | − | 10.1938i | 0.196946 | − | 0.341121i | ||||
\(894\) | 18.6613 | − | 19.9481i | 0.624126 | − | 0.667163i | ||||
\(895\) | −23.9641 | + | 8.80806i | −0.801030 | + | 0.294421i | ||||
\(896\) | −2.96938 | − | 1.71437i | −0.0992000 | − | 0.0572731i | ||||
\(897\) | 0.584269 | + | 1.92198i | 0.0195082 | + | 0.0641732i | ||||
\(898\) | −26.3801 | −0.880314 | ||||||||
\(899\) | −3.65230 | − | 10.7124i | −0.121811 | − | 0.357279i | ||||
\(900\) | 4.08928 | − | 14.4318i | 0.136309 | − | 0.481061i | ||||
\(901\) | 29.8217 | 0.993504 | ||||||||
\(902\) | −11.9875 | − | 6.92098i | −0.399140 | − | 0.230444i | ||||
\(903\) | 14.2637 | + | 46.9211i | 0.474665 | + | 1.56144i | ||||
\(904\) | 8.34722 | + | 14.4578i | 0.277624 | + | 0.480859i | ||||
\(905\) | −0.306129 | − | 0.0529820i | −0.0101761 | − | 0.00176118i | ||||
\(906\) | −3.30897 | − | 0.769482i | −0.109933 | − | 0.0255643i | ||||
\(907\) | 25.5776i | 0.849291i | 0.905360 | + | 0.424646i | \(0.139601\pi\) | ||||
−0.905360 | + | 0.424646i | \(0.860399\pi\) | |||||||
\(908\) | −4.42782 | − | 7.66921i | −0.146942 | − | 0.254512i | ||||
\(909\) | 16.2250 | − | 32.9994i | 0.538149 | − | 1.09452i | ||||
\(910\) | −4.44358 | + | 5.32976i | −0.147303 | + | 0.176680i | ||||
\(911\) | 16.7161 | − | 28.9532i | 0.553830 | − | 0.959261i | −0.444164 | − | 0.895946i | \(-0.646499\pi\) |
0.997994 | − | 0.0633155i | \(-0.0201674\pi\) | |||||||
\(912\) | 8.32150 | + | 7.78470i | 0.275552 | + | 0.257777i | ||||
\(913\) | −76.2443 | − | 44.0196i | −2.52332 | − | 1.45684i | ||||
\(914\) | −39.1752 | −1.29580 | ||||||||
\(915\) | 10.8770 | + | 14.3873i | 0.359584 | + | 0.475629i | ||||
\(916\) | −15.4179 | − | 8.90151i | −0.509421 | − | 0.294114i | ||||
\(917\) | 29.0504 | + | 50.3167i | 0.959328 | + | 1.66160i | ||||
\(918\) | 16.4955 | − | 6.24191i | 0.544434 | − | 0.206014i | ||||
\(919\) | 24.3439 | + | 42.1649i | 0.803032 | + | 1.39089i | 0.917612 | + | 0.397477i | \(0.130114\pi\) |
−0.114580 | + | 0.993414i | \(0.536552\pi\) | |||||||
\(920\) | −1.83488 | + | 2.20081i | −0.0604942 | + | 0.0725586i | ||||
\(921\) | −8.76126 | + | 9.36539i | −0.288693 | + | 0.308600i | ||||
\(922\) | −0.0357305 | −0.00117672 | ||||||||
\(923\) | 8.87551 | + | 5.12428i | 0.292141 | + | 0.168668i | ||||
\(924\) | 36.9160 | + | 8.58460i | 1.21445 | + | 0.282413i | ||||
\(925\) | 23.3481 | + | 8.33131i | 0.767682 | + | 0.273932i | ||||
\(926\) | −8.82365 | −0.289963 | ||||||||
\(927\) | −16.9674 | + | 1.13225i | −0.557282 | + | 0.0371881i | ||||
\(928\) | 2.03276 | 0.0667285 | ||||||||
\(929\) | 48.3243 | 1.58547 | 0.792734 | − | 0.609567i | \(-0.208657\pi\) | ||||
0.792734 | + | 0.609567i | \(0.208657\pi\) | |||||||
\(930\) | 17.8596 | + | 12.0845i | 0.585640 | + | 0.396265i | ||||
\(931\) | −31.2915 | −1.02554 | ||||||||
\(932\) | 0.695815 | 0.0227922 | ||||||||
\(933\) | 11.9254 | + | 2.77317i | 0.390419 | + | 0.0907895i | ||||
\(934\) | −5.63272 | −0.184308 | ||||||||
\(935\) | 31.0177 | − | 37.2036i | 1.01439 | − | 1.21669i | ||||
\(936\) | 0.180789 | + | 2.70921i | 0.00590927 | + | 0.0885533i | ||||
\(937\) | 3.74078 | + | 2.15974i | 0.122206 | + | 0.0705557i | 0.559857 | − | 0.828589i | \(-0.310856\pi\) |
−0.437651 | + | 0.899145i | \(0.644189\pi\) | |||||||
\(938\) | 0.184883 | 0.00603665 | ||||||||
\(939\) | −23.0628 | − | 21.5751i | −0.752625 | − | 0.704076i | ||||
\(940\) | 3.07279 | + | 2.56187i | 0.100223 | + | 0.0835590i | ||||
\(941\) | −22.1895 | − | 38.4333i | −0.723356 | − | 1.25289i | −0.959647 | − | 0.281207i | \(-0.909265\pi\) |
0.236291 | − | 0.971682i | \(-0.424068\pi\) | |||||||
\(942\) | −10.2324 | − | 2.37948i | −0.333389 | − | 0.0775277i | ||||
\(943\) | 1.38966 | + | 2.40696i | 0.0452535 | + | 0.0783814i | ||||
\(944\) | −2.39397 | − | 1.38216i | −0.0779170 | − | 0.0449854i | ||||
\(945\) | 37.6470 | + | 13.0308i | 1.22466 | + | 0.423892i | ||||
\(946\) | 52.7013 | 1.71347 | ||||||||
\(947\) | −37.2751 | − | 21.5208i | −1.21128 | − | 0.699332i | −0.248241 | − | 0.968698i | \(-0.579852\pi\) |
−0.963038 | + | 0.269367i | \(0.913186\pi\) | |||||||
\(948\) | 4.27457 | − | 4.56933i | 0.138832 | − | 0.148405i | ||||
\(949\) | 5.35300 | − | 9.27167i | 0.173766 | − | 0.300971i | ||||
\(950\) | 30.9816 | + | 11.0551i | 1.00518 | + | 0.358676i | ||||
\(951\) | 10.5013 | + | 9.82393i | 0.340529 | + | 0.318563i | ||||
\(952\) | −5.81900 | − | 10.0788i | −0.188595 | − | 0.326656i | ||||
\(953\) | 46.5489i | 1.50787i | 0.656951 | + | 0.753933i | \(0.271846\pi\) | ||||
−0.656951 | + | 0.753933i | \(0.728154\pi\) | |||||||
\(954\) | 26.2994 | − | 1.75499i | 0.851474 | − | 0.0568199i | ||||
\(955\) | −28.1591 | − | 4.87351i | −0.911206 | − | 0.157703i | ||||
\(956\) | −2.71108 | − | 4.69573i | −0.0876826 | − | 0.151871i | ||||
\(957\) | −21.4985 | + | 6.53539i | −0.694948 | + | 0.211259i | ||||
\(958\) | 16.0091 | + | 9.24288i | 0.517232 | + | 0.298624i | ||||
\(959\) | 31.4571 | 1.01580 | ||||||||
\(960\) | −3.08944 | + | 2.33567i | −0.0997112 | + | 0.0753835i | ||||
\(961\) | −24.5436 | + | 18.9371i | −0.791729 | + | 0.610873i | ||||
\(962\) | −4.48739 | −0.144679 | ||||||||
\(963\) | −4.48655 | + | 3.00550i | −0.144577 | + | 0.0968508i | ||||
\(964\) | −19.9045 | − | 11.4919i | −0.641081 | − | 0.370128i | ||||
\(965\) | 8.21798 | + | 22.3586i | 0.264546 | + | 0.719750i | ||||
\(966\) | −5.55743 | − | 5.19894i | −0.178807 | − | 0.167273i | ||||
\(967\) | 13.6964 | − | 23.7228i | 0.440446 | − | 0.762875i | −0.557276 | − | 0.830327i | \(-0.688154\pi\) |
0.997723 | + | 0.0674518i | \(0.0214869\pi\) | |||||||
\(968\) | 14.8648 | − | 25.7466i | 0.477774 | − | 0.827529i | ||||
\(969\) | 11.2495 | + | 37.0057i | 0.361385 | + | 1.18880i | ||||
\(970\) | 21.1429 | − | 25.3594i | 0.678856 | − | 0.814241i | ||||
\(971\) | −27.9798 | + | 16.1541i | −0.897914 | + | 0.518411i | −0.876523 | − | 0.481360i | \(-0.840143\pi\) |
−0.0213914 | + | 0.999771i | \(0.506810\pi\) | |||||||
\(972\) | 14.1799 | − | 6.47542i | 0.454820 | − | 0.207699i | ||||
\(973\) | −31.3548 | + | 54.3081i | −1.00519 | + | 1.74104i | ||||
\(974\) | −4.58796 | − | 7.94657i | −0.147008 | − | 0.254625i | ||||
\(975\) | 3.59146 | + | 6.96699i | 0.115019 | + | 0.223122i | ||||
\(976\) | − | 4.65692i | − | 0.149064i | ||||||
\(977\) | 10.8353 | 0.346652 | 0.173326 | − | 0.984865i | \(-0.444549\pi\) | ||||
0.173326 | + | 0.984865i | \(0.444549\pi\) | |||||||
\(978\) | 2.11519 | + | 0.491874i | 0.0676363 | + | 0.0157284i | ||||
\(979\) | 16.4467 | + | 28.4866i | 0.525640 | + | 0.910436i | ||||
\(980\) | 1.81371 | − | 10.4796i | 0.0579368 | − | 0.334758i | ||||
\(981\) | −32.1519 | − | 15.8083i | −1.02653 | − | 0.504721i | ||||
\(982\) | 1.65595 | + | 2.86819i | 0.0528436 | + | 0.0915277i | ||||
\(983\) | −5.28856 | + | 3.05335i | −0.168679 | + | 0.0973867i | −0.581963 | − | 0.813216i | \(-0.697715\pi\) |
0.413284 | + | 0.910602i | \(0.364382\pi\) | |||||||
\(984\) | 1.09263 | + | 3.59426i | 0.0348317 | + | 0.114581i | ||||
\(985\) | 54.1273 | + | 9.36785i | 1.72464 | + | 0.298485i | ||||
\(986\) | 5.97529 | + | 3.44984i | 0.190292 | + | 0.109865i | ||||
\(987\) | −7.25878 | + | 7.75932i | −0.231050 | + | 0.246982i | ||||
\(988\) | −5.95449 | −0.189438 | ||||||||
\(989\) | −9.16415 | − | 5.29092i | −0.291403 | − | 0.168242i | ||||
\(990\) | 25.1648 | − | 34.6348i | 0.799789 | − | 1.10077i | ||||
\(991\) | − | 2.90080i | − | 0.0921468i | −0.998938 | − | 0.0460734i | \(-0.985329\pi\) | ||
0.998938 | − | 0.0460734i | \(-0.0146708\pi\) | |||||||
\(992\) | −1.79672 | − | 5.26989i | −0.0570460 | − | 0.167319i | ||||
\(993\) | 8.50397 | + | 27.9743i | 0.269865 | + | 0.887736i | ||||
\(994\) | −38.8250 | −1.23146 | ||||||||
\(995\) | 2.74233 | + | 0.474617i | 0.0869377 | + | 0.0150464i | ||||
\(996\) | 6.94947 | + | 22.8607i | 0.220202 | + | 0.724367i | ||||
\(997\) | −20.5183 | + | 11.8463i | −0.649821 | + | 0.375175i | −0.788388 | − | 0.615179i | \(-0.789084\pi\) |
0.138566 | + | 0.990353i | \(0.455751\pi\) | |||||||
\(998\) | 18.6560 | + | 10.7710i | 0.590544 | + | 0.340951i | ||||
\(999\) | 9.11762 | + | 24.0952i | 0.288469 | + | 0.762339i |
(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 | 930.2.r.a.119.19 | yes | 64 | |
3.2 | odd | 2 | 930.2.r.b.119.25 | yes | 64 | ||
5.4 | even | 2 | 930.2.r.b.119.14 | yes | 64 | ||
15.14 | odd | 2 | inner | 930.2.r.a.119.8 | ✓ | 64 | |
31.6 | odd | 6 | inner | 930.2.r.a.719.8 | yes | 64 | |
93.68 | even | 6 | 930.2.r.b.719.14 | yes | 64 | ||
155.99 | odd | 6 | 930.2.r.b.719.25 | yes | 64 | ||
465.254 | even | 6 | inner | 930.2.r.a.719.19 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.r.a.119.8 | ✓ | 64 | 15.14 | odd | 2 | inner | |
930.2.r.a.119.19 | yes | 64 | 1.1 | even | 1 | trivial | |
930.2.r.a.719.8 | yes | 64 | 31.6 | odd | 6 | inner | |
930.2.r.a.719.19 | yes | 64 | 465.254 | even | 6 | inner | |
930.2.r.b.119.14 | yes | 64 | 5.4 | even | 2 | ||
930.2.r.b.119.25 | yes | 64 | 3.2 | odd | 2 | ||
930.2.r.b.719.14 | yes | 64 | 93.68 | even | 6 | ||
930.2.r.b.719.25 | yes | 64 | 155.99 | odd | 6 |