Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 205.50 | ||
Character | \(\chi\) | \(=\) | 576.205 |
Dual form | 576.2.bm.a.517.50 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.109418 | + | 1.40997i | 0.0773702 | + | 0.997002i | ||||
\(3\) | −0.0225197 | + | 1.73190i | −0.0130017 | + | 0.999915i | ||||
\(4\) | −1.97606 | + | 0.308553i | −0.988028 | + | 0.154277i | ||||
\(5\) | −2.28142 | − | 2.60146i | −1.02028 | − | 1.16341i | −0.986464 | − | 0.163978i | \(-0.947567\pi\) |
−0.0338160 | − | 0.999428i | \(-0.510766\pi\) | |||||||
\(6\) | −2.44440 | + | 0.157749i | −0.997924 | + | 0.0644009i | ||||
\(7\) | 4.18621 | + | 0.551125i | 1.58224 | + | 0.208306i | 0.869791 | − | 0.493420i | \(-0.164253\pi\) |
0.712447 | + | 0.701725i | \(0.247587\pi\) | |||||||
\(8\) | −0.651268 | − | 2.75243i | −0.230258 | − | 0.973130i | ||||
\(9\) | −2.99899 | − | 0.0780039i | −0.999662 | − | 0.0260013i | ||||
\(10\) | 3.41836 | − | 3.50138i | 1.08098 | − | 1.10723i | ||||
\(11\) | −1.27415 | − | 2.58372i | −0.384170 | − | 0.779020i | 0.615790 | − | 0.787910i | \(-0.288837\pi\) |
−0.999960 | + | 0.00888988i | \(0.997170\pi\) | |||||||
\(12\) | −0.489884 | − | 3.42929i | −0.141417 | − | 0.989950i | ||||
\(13\) | −2.06007 | − | 6.06878i | −0.571362 | − | 1.68318i | −0.719737 | − | 0.694247i | \(-0.755738\pi\) |
0.148375 | − | 0.988931i | \(-0.452596\pi\) | |||||||
\(14\) | −0.319025 | + | 5.96275i | −0.0852631 | + | 1.59361i | ||||
\(15\) | 4.55685 | − | 3.89261i | 1.17657 | − | 1.00507i | ||||
\(16\) | 3.80959 | − | 1.21944i | 0.952397 | − | 0.304859i | ||||
\(17\) | −3.99244 | − | 3.99244i | −0.968310 | − | 0.968310i | 0.0312035 | − | 0.999513i | \(-0.490066\pi\) |
−0.999513 | + | 0.0312035i | \(0.990066\pi\) | |||||||
\(18\) | −0.218160 | − | 4.23703i | −0.0514207 | − | 0.998677i | ||||
\(19\) | 0.252318 | − | 1.26849i | 0.0578856 | − | 0.291011i | −0.940989 | − | 0.338437i | \(-0.890102\pi\) |
0.998875 | + | 0.0474261i | \(0.0151019\pi\) | |||||||
\(20\) | 5.31089 | + | 4.43668i | 1.18755 | + | 0.992072i | ||||
\(21\) | −1.04877 | + | 7.23770i | −0.228860 | + | 1.57940i | ||||
\(22\) | 3.50356 | − | 2.07922i | 0.746962 | − | 0.443292i | ||||
\(23\) | 0.851387 | + | 6.46692i | 0.177526 | + | 1.34845i | 0.815665 | + | 0.578525i | \(0.196372\pi\) |
−0.638138 | + | 0.769922i | \(0.720295\pi\) | |||||||
\(24\) | 4.78161 | − | 1.06595i | 0.976041 | − | 0.217586i | ||||
\(25\) | −0.910084 | + | 6.91278i | −0.182017 | + | 1.38256i | ||||
\(26\) | 8.33142 | − | 3.56869i | 1.63393 | − | 0.699877i | ||||
\(27\) | 0.202631 | − | 5.19220i | 0.0389964 | − | 0.999239i | ||||
\(28\) | −8.44223 | + | 0.202615i | −1.59543 | + | 0.0382906i | ||||
\(29\) | 1.06532 | − | 0.0698247i | 0.197825 | − | 0.0129661i | 0.0338314 | − | 0.999428i | \(-0.489229\pi\) |
0.163993 | + | 0.986461i | \(0.447562\pi\) | |||||||
\(30\) | 5.98708 | + | 5.99912i | 1.09309 | + | 1.09528i | ||||
\(31\) | −1.47312 | + | 0.850507i | −0.264580 | + | 0.152756i | −0.626422 | − | 0.779484i | \(-0.715481\pi\) |
0.361842 | + | 0.932240i | \(0.382148\pi\) | |||||||
\(32\) | 2.13621 | + | 5.23800i | 0.377632 | + | 0.925956i | ||||
\(33\) | 4.50345 | − | 2.14852i | 0.783949 | − | 0.374009i | ||||
\(34\) | 5.19240 | − | 6.06609i | 0.890489 | − | 1.04033i | ||||
\(35\) | −8.11676 | − | 12.1476i | −1.37198 | − | 2.05332i | ||||
\(36\) | 5.95023 | − | 0.771206i | 0.991705 | − | 0.128534i | ||||
\(37\) | 0.401559 | + | 2.01877i | 0.0660159 | + | 0.331884i | 0.999653 | − | 0.0263355i | \(-0.00838382\pi\) |
−0.933637 | + | 0.358220i | \(0.883384\pi\) | |||||||
\(38\) | 1.81614 | + | 0.216966i | 0.294617 | + | 0.0351966i | ||||
\(39\) | 10.5569 | − | 3.43118i | 1.69046 | − | 0.549429i | ||||
\(40\) | −5.67450 | + | 7.97367i | −0.897218 | + | 1.26075i | ||||
\(41\) | −0.989500 | − | 7.51600i | −0.154534 | − | 1.17380i | −0.876335 | − | 0.481701i | \(-0.840019\pi\) |
0.721801 | − | 0.692100i | \(-0.243314\pi\) | |||||||
\(42\) | −10.3197 | − | 0.686801i | −1.59237 | − | 0.105976i | ||||
\(43\) | 0.927365 | − | 0.457326i | 0.141422 | − | 0.0697415i | −0.370201 | − | 0.928952i | \(-0.620711\pi\) |
0.511623 | + | 0.859210i | \(0.329045\pi\) | |||||||
\(44\) | 3.31500 | + | 4.71243i | 0.499755 | + | 0.710425i | ||||
\(45\) | 6.63901 | + | 7.97969i | 0.989685 | + | 1.18954i | ||||
\(46\) | −9.02504 | + | 1.90803i | −1.33067 | + | 0.281324i | ||||
\(47\) | −3.04900 | + | 0.816978i | −0.444743 | + | 0.119169i | −0.474239 | − | 0.880396i | \(-0.657277\pi\) |
0.0294956 | + | 0.999565i | \(0.490610\pi\) | |||||||
\(48\) | 2.02616 | + | 6.62531i | 0.292450 | + | 0.956281i | ||||
\(49\) | 10.4591 | + | 2.80252i | 1.49416 | + | 0.400360i | ||||
\(50\) | −9.84642 | − | 0.526814i | −1.39249 | − | 0.0745027i | ||||
\(51\) | 7.00444 | − | 6.82462i | 0.980817 | − | 0.955638i | ||||
\(52\) | 5.94336 | + | 11.3566i | 0.824196 | + | 1.57488i | ||||
\(53\) | −1.80298 | + | 2.69835i | −0.247658 | + | 0.370647i | −0.934383 | − | 0.356271i | \(-0.884048\pi\) |
0.686724 | + | 0.726918i | \(0.259048\pi\) | |||||||
\(54\) | 7.34304 | − | 0.282415i | 0.999261 | − | 0.0384318i | ||||
\(55\) | −3.81457 | + | 9.20918i | −0.514356 | + | 1.24176i | ||||
\(56\) | −1.20941 | − | 11.8812i | −0.161615 | − | 1.58769i | ||||
\(57\) | 2.19122 | + | 0.465556i | 0.290234 | + | 0.0616644i | ||||
\(58\) | 0.215016 | + | 1.49443i | 0.0282330 | + | 0.196229i | ||||
\(59\) | −1.47197 | − | 1.67846i | −0.191634 | − | 0.218517i | 0.648042 | − | 0.761605i | \(-0.275588\pi\) |
−0.839676 | + | 0.543088i | \(0.817255\pi\) | |||||||
\(60\) | −7.80351 | + | 9.09804i | −1.00743 | + | 1.17455i | ||||
\(61\) | −0.524600 | − | 8.00385i | −0.0671682 | − | 1.02479i | −0.889840 | − | 0.456272i | \(-0.849184\pi\) |
0.822672 | − | 0.568516i | \(-0.192482\pi\) | |||||||
\(62\) | −1.36038 | − | 1.98400i | −0.172768 | − | 0.251969i | ||||
\(63\) | −12.5114 | − | 1.97936i | −1.57629 | − | 0.249376i | ||||
\(64\) | −7.15170 | + | 3.58513i | −0.893962 | + | 0.448142i | ||||
\(65\) | −11.0878 | + | 19.2046i | −1.37527 | + | 2.38204i | ||||
\(66\) | 3.52212 | + | 6.11466i | 0.433542 | + | 0.752662i | ||||
\(67\) | 0.462419 | + | 0.228040i | 0.0564935 | + | 0.0278595i | 0.470316 | − | 0.882498i | \(-0.344140\pi\) |
−0.413823 | + | 0.910358i | \(0.635807\pi\) | |||||||
\(68\) | 9.12117 | + | 6.65741i | 1.10610 | + | 0.807329i | ||||
\(69\) | −11.2193 | + | 1.32889i | −1.35064 | + | 0.159979i | ||||
\(70\) | 16.2397 | − | 12.7736i | 1.94101 | − | 1.52674i | ||||
\(71\) | −6.15008 | − | 14.8476i | −0.729880 | − | 1.76209i | −0.642997 | − | 0.765869i | \(-0.722309\pi\) |
−0.0868832 | − | 0.996219i | \(-0.527691\pi\) | |||||||
\(72\) | 1.73844 | + | 8.30529i | 0.204878 | + | 0.978788i | ||||
\(73\) | −0.653950 | + | 1.57878i | −0.0765391 | + | 0.184782i | −0.957518 | − | 0.288374i | \(-0.906885\pi\) |
0.880979 | + | 0.473156i | \(0.156885\pi\) | |||||||
\(74\) | −2.80248 | + | 0.787078i | −0.325782 | + | 0.0914960i | ||||
\(75\) | −11.9518 | − | 1.73185i | −1.38007 | − | 0.199977i | ||||
\(76\) | −0.107198 | + | 2.58445i | −0.0122965 | + | 0.296457i | ||||
\(77\) | −3.90990 | − | 11.5182i | −0.445575 | − | 1.31262i | ||||
\(78\) | 5.99300 | + | 14.5096i | 0.678574 | + | 1.64289i | ||||
\(79\) | 3.20599 | + | 11.9649i | 0.360702 | + | 1.34616i | 0.873155 | + | 0.487442i | \(0.162070\pi\) |
−0.512453 | + | 0.858715i | \(0.671263\pi\) | |||||||
\(80\) | −11.8636 | − | 7.12844i | −1.32639 | − | 0.796984i | ||||
\(81\) | 8.98783 | + | 0.467865i | 0.998648 | + | 0.0519850i | ||||
\(82\) | 10.4891 | − | 2.21755i | 1.15833 | − | 0.244888i | ||||
\(83\) | 0.225652 | + | 0.197892i | 0.0247686 | + | 0.0217215i | 0.671641 | − | 0.740877i | \(-0.265590\pi\) |
−0.646872 | + | 0.762599i | \(0.723923\pi\) | |||||||
\(84\) | −0.160793 | − | 14.6257i | −0.0175439 | − | 1.59580i | ||||
\(85\) | −1.27774 | + | 19.4946i | −0.138591 | + | 2.11448i | ||||
\(86\) | 0.746288 | + | 1.25752i | 0.0804743 | + | 0.135602i | ||||
\(87\) | 0.0969390 | + | 1.84660i | 0.0103930 | + | 0.197977i | ||||
\(88\) | −6.28168 | + | 5.18969i | −0.669629 | + | 0.553223i | ||||
\(89\) | 10.0904 | − | 4.17957i | 1.06958 | − | 0.443034i | 0.222736 | − | 0.974879i | \(-0.428501\pi\) |
0.846842 | + | 0.531845i | \(0.178501\pi\) | |||||||
\(90\) | −10.5247 | + | 10.2340i | −1.10940 | + | 1.07875i | ||||
\(91\) | −5.27925 | − | 26.5406i | −0.553415 | − | 2.78221i | ||||
\(92\) | −3.67778 | − | 12.5163i | −0.383435 | − | 1.30491i | ||||
\(93\) | −1.43982 | − | 2.57046i | −0.149303 | − | 0.266544i | ||||
\(94\) | −1.48553 | − | 4.20963i | −0.153221 | − | 0.434190i | ||||
\(95\) | −3.87555 | + | 2.23755i | −0.397623 | + | 0.229568i | ||||
\(96\) | −9.11981 | + | 3.58176i | −0.930787 | + | 0.365561i | ||||
\(97\) | −13.1981 | − | 7.61991i | −1.34006 | − | 0.773684i | −0.353245 | − | 0.935531i | \(-0.614922\pi\) |
−0.986816 | + | 0.161847i | \(0.948255\pi\) | |||||||
\(98\) | −2.80706 | + | 15.0538i | −0.283556 | + | 1.52066i | ||||
\(99\) | 3.61961 | + | 7.84792i | 0.363785 | + | 0.788746i | ||||
\(100\) | −0.334582 | − | 13.9408i | −0.0334582 | − | 1.39408i | ||||
\(101\) | 12.5453 | + | 4.25857i | 1.24831 | + | 0.423743i | 0.865885 | − | 0.500244i | \(-0.166756\pi\) |
0.382423 | + | 0.923987i | \(0.375090\pi\) | |||||||
\(102\) | 10.3890 | + | 9.12934i | 1.02866 | + | 0.903939i | ||||
\(103\) | −5.26416 | − | 4.03933i | −0.518693 | − | 0.398007i | 0.315969 | − | 0.948769i | \(-0.397670\pi\) |
−0.834662 | + | 0.550763i | \(0.814337\pi\) | |||||||
\(104\) | −15.3622 | + | 9.62261i | −1.50639 | + | 0.943574i | ||||
\(105\) | 21.2212 | − | 13.7839i | 2.07098 | − | 1.34517i | ||||
\(106\) | −4.00188 | − | 2.24691i | −0.388697 | − | 0.218239i | ||||
\(107\) | 0.494088 | + | 0.330139i | 0.0477653 | + | 0.0319158i | 0.579224 | − | 0.815169i | \(-0.303356\pi\) |
−0.531458 | + | 0.847084i | \(0.678356\pi\) | |||||||
\(108\) | 1.20166 | + | 10.3226i | 0.115630 | + | 0.993292i | ||||
\(109\) | 1.66718 | − | 8.38149i | 0.159687 | − | 0.802801i | −0.815041 | − | 0.579404i | \(-0.803285\pi\) |
0.974728 | − | 0.223397i | \(-0.0717146\pi\) | |||||||
\(110\) | −13.4021 | − | 4.37079i | −1.27784 | − | 0.416738i | ||||
\(111\) | −3.50537 | + | 0.650000i | −0.332715 | + | 0.0616952i | ||||
\(112\) | 16.6198 | − | 3.00526i | 1.57042 | − | 0.283970i | ||||
\(113\) | 4.62263 | + | 1.23863i | 0.434861 | + | 0.116521i | 0.469607 | − | 0.882876i | \(-0.344396\pi\) |
−0.0347463 | + | 0.999396i | \(0.511062\pi\) | |||||||
\(114\) | −0.416664 | + | 3.14050i | −0.0390241 | + | 0.294135i | ||||
\(115\) | 14.8811 | − | 16.9686i | 1.38767 | − | 1.58233i | ||||
\(116\) | −2.08358 | + | 0.466685i | −0.193456 | + | 0.0433306i | ||||
\(117\) | 5.70474 | + | 18.3609i | 0.527404 | + | 1.69746i | ||||
\(118\) | 2.20552 | − | 2.25909i | 0.203035 | − | 0.207966i | ||||
\(119\) | −14.5129 | − | 18.9135i | −1.33039 | − | 1.73380i | ||||
\(120\) | −13.6819 | − | 10.0073i | −1.24898 | − | 0.913534i | ||||
\(121\) | 1.64423 | − | 2.14280i | 0.149476 | − | 0.194800i | ||||
\(122\) | 11.2278 | − | 1.61544i | 1.01652 | − | 0.146255i | ||||
\(123\) | 13.0393 | − | 1.54446i | 1.17571 | − | 0.139259i | ||||
\(124\) | 2.64854 | − | 2.13519i | 0.237846 | − | 0.191745i | ||||
\(125\) | 5.67464 | − | 3.79168i | 0.507556 | − | 0.339138i | ||||
\(126\) | 1.42187 | − | 17.8573i | 0.126670 | − | 1.59086i | ||||
\(127\) | 8.11827 | 0.720380 | 0.360190 | − | 0.932879i | \(-0.382712\pi\) | ||||
0.360190 | + | 0.932879i | \(0.382712\pi\) | |||||||
\(128\) | −5.83747 | − | 9.69144i | −0.515964 | − | 0.856610i | ||||
\(129\) | 0.771160 | + | 1.61641i | 0.0678969 | + | 0.142317i | ||||
\(130\) | −28.2912 | − | 13.5322i | −2.48130 | − | 1.18685i | ||||
\(131\) | −11.1049 | − | 5.47632i | −0.970237 | − | 0.478468i | −0.113115 | − | 0.993582i | \(-0.536083\pi\) |
−0.857122 | + | 0.515114i | \(0.827750\pi\) | |||||||
\(132\) | −8.23613 | + | 5.63515i | −0.716863 | + | 0.490476i | ||||
\(133\) | 1.75535 | − | 5.17109i | 0.152208 | − | 0.448391i | ||||
\(134\) | −0.270933 | + | 0.676951i | −0.0234051 | + | 0.0584797i | ||||
\(135\) | −13.9696 | + | 11.3184i | −1.20231 | + | 0.974135i | ||||
\(136\) | −8.38875 | + | 13.5891i | −0.719330 | + | 1.16525i | ||||
\(137\) | −1.59200 | − | 2.07474i | −0.136014 | − | 0.177257i | 0.720380 | − | 0.693579i | \(-0.243967\pi\) |
−0.856394 | + | 0.516322i | \(0.827301\pi\) | |||||||
\(138\) | −3.10129 | − | 15.6735i | −0.263999 | − | 1.33421i | ||||
\(139\) | 3.49243 | + | 0.228906i | 0.296224 | + | 0.0194155i | 0.212791 | − | 0.977098i | \(-0.431745\pi\) |
0.0834332 | + | 0.996513i | \(0.473411\pi\) | |||||||
\(140\) | 19.7873 | + | 21.4999i | 1.67234 | + | 1.81707i | ||||
\(141\) | −1.34627 | − | 5.29898i | −0.113376 | − | 0.446255i | ||||
\(142\) | 20.2618 | − | 10.2961i | 1.70033 | − | 0.864026i | ||||
\(143\) | −13.0552 | + | 13.0552i | −1.09173 | + | 1.09173i | ||||
\(144\) | −11.5200 | + | 3.35991i | −0.960002 | + | 0.279992i | ||||
\(145\) | −2.61208 | − | 2.61208i | −0.216922 | − | 0.216922i | ||||
\(146\) | −2.29759 | − | 0.749307i | −0.190150 | − | 0.0620131i | ||||
\(147\) | −5.08923 | + | 18.0511i | −0.419752 | + | 1.48883i | ||||
\(148\) | −1.41640 | − | 3.86531i | −0.116428 | − | 0.317726i | ||||
\(149\) | −0.607899 | + | 9.27474i | −0.0498010 | + | 0.759816i | 0.897809 | + | 0.440386i | \(0.145158\pi\) |
−0.947610 | + | 0.319431i | \(0.896508\pi\) | |||||||
\(150\) | 1.13413 | − | 17.0412i | 0.0926012 | − | 1.39141i | ||||
\(151\) | −7.07217 | + | 5.42667i | −0.575525 | + | 0.441616i | −0.855067 | − | 0.518518i | \(-0.826484\pi\) |
0.279542 | + | 0.960133i | \(0.409817\pi\) | |||||||
\(152\) | −3.65574 | + | 0.131639i | −0.296520 | + | 0.0106773i | ||||
\(153\) | 11.6619 | + | 12.2847i | 0.942805 | + | 0.993159i | ||||
\(154\) | 15.8126 | − | 6.77316i | 1.27421 | − | 0.545797i | ||||
\(155\) | 5.57336 | + | 1.89190i | 0.447663 | + | 0.151961i | ||||
\(156\) | −19.8024 | + | 10.0376i | −1.58546 | + | 0.803650i | ||||
\(157\) | 7.48259 | − | 15.1732i | 0.597176 | − | 1.21095i | −0.363061 | − | 0.931765i | \(-0.618268\pi\) |
0.960237 | − | 0.279187i | \(-0.0900650\pi\) | |||||||
\(158\) | −16.5194 | + | 5.82954i | −1.31421 | + | 0.463773i | ||||
\(159\) | −4.63268 | − | 3.18335i | −0.367395 | − | 0.252456i | ||||
\(160\) | 8.75283 | − | 17.5073i | 0.691972 | − | 1.38407i | ||||
\(161\) | 27.5411i | 2.17054i | ||||||||
\(162\) | 0.323753 | + | 12.7238i | 0.0254364 | + | 0.999676i | ||||
\(163\) | 5.70404 | + | 8.53671i | 0.446775 | + | 0.668646i | 0.984682 | − | 0.174358i | \(-0.0557849\pi\) |
−0.537907 | + | 0.843004i | \(0.680785\pi\) | |||||||
\(164\) | 4.27439 | + | 14.5467i | 0.333774 | + | 1.13591i | ||||
\(165\) | −15.8635 | − | 6.81385i | −1.23497 | − | 0.530458i | ||||
\(166\) | −0.254332 | + | 0.339817i | −0.0197400 | + | 0.0263749i | ||||
\(167\) | 14.3018 | + | 10.9742i | 1.10671 | + | 0.849208i | 0.989591 | − | 0.143910i | \(-0.0459675\pi\) |
0.117119 | + | 0.993118i | \(0.462634\pi\) | |||||||
\(168\) | 20.6043 | − | 1.82703i | 1.58965 | − | 0.140958i | ||||
\(169\) | −22.2726 | + | 17.0904i | −1.71328 | + | 1.31465i | ||||
\(170\) | −27.6267 | + | 0.331474i | −2.11887 | + | 0.0254229i | ||||
\(171\) | −0.855644 | + | 3.78449i | −0.0654327 | + | 0.289407i | ||||
\(172\) | −1.69142 | + | 1.18984i | −0.128969 | + | 0.0907246i | ||||
\(173\) | 9.58627 | + | 8.40694i | 0.728831 | + | 0.639168i | 0.941133 | − | 0.338036i | \(-0.109763\pi\) |
−0.212302 | + | 0.977204i | \(0.568096\pi\) | |||||||
\(174\) | −2.59306 | + | 0.338733i | −0.196579 | + | 0.0256793i | ||||
\(175\) | −7.61961 | + | 28.4368i | −0.575988 | + | 2.14962i | ||||
\(176\) | −8.00466 | − | 8.28916i | −0.603374 | − | 0.624819i | ||||
\(177\) | 2.94008 | − | 2.51151i | 0.220990 | − | 0.188777i | ||||
\(178\) | 6.99716 | + | 13.7699i | 0.524459 | + | 1.03209i | ||||
\(179\) | −0.719688 | − | 0.143155i | −0.0537920 | − | 0.0106999i | 0.168121 | − | 0.985766i | \(-0.446230\pi\) |
−0.221913 | + | 0.975066i | \(0.571230\pi\) | |||||||
\(180\) | −15.5812 | − | 13.7198i | −1.16135 | − | 1.02261i | ||||
\(181\) | −4.32036 | + | 6.46588i | −0.321130 | + | 0.480605i | −0.956553 | − | 0.291559i | \(-0.905826\pi\) |
0.635423 | + | 0.772164i | \(0.280826\pi\) | |||||||
\(182\) | 36.8439 | − | 10.3476i | 2.73105 | − | 0.767016i | ||||
\(183\) | 13.8737 | − | 0.728313i | 1.02558 | − | 0.0538385i | ||||
\(184\) | 17.2453 | − | 6.55508i | 1.27134 | − | 0.483247i | ||||
\(185\) | 4.33563 | − | 5.65030i | 0.318762 | − | 0.415418i | ||||
\(186\) | 3.46674 | − | 2.31137i | 0.254194 | − | 0.169478i | ||||
\(187\) | −5.22838 | + | 15.4023i | −0.382337 | + | 1.12633i | ||||
\(188\) | 5.77292 | − | 2.55517i | 0.421033 | − | 0.186355i | ||||
\(189\) | 3.70981 | − | 21.6240i | 0.269849 | − | 1.57291i | ||||
\(190\) | −3.57895 | − | 5.21960i | −0.259644 | − | 0.378670i | ||||
\(191\) | −0.847959 | + | 1.46871i | −0.0613562 | + | 0.106272i | −0.895072 | − | 0.445922i | \(-0.852876\pi\) |
0.833716 | + | 0.552194i | \(0.186209\pi\) | |||||||
\(192\) | −6.04806 | − | 12.4668i | −0.436481 | − | 0.899714i | ||||
\(193\) | −11.4707 | − | 19.8678i | −0.825676 | − | 1.43011i | −0.901402 | − | 0.432984i | \(-0.857461\pi\) |
0.0757259 | − | 0.997129i | \(-0.475873\pi\) | |||||||
\(194\) | 9.29977 | − | 19.4427i | 0.667684 | − | 1.39590i | ||||
\(195\) | −33.0109 | − | 19.6355i | −2.36396 | − | 1.40612i | ||||
\(196\) | −21.5326 | − | 2.31073i | −1.53804 | − | 0.165052i | ||||
\(197\) | −7.30531 | + | 1.45312i | −0.520482 | + | 0.103530i | −0.448338 | − | 0.893864i | \(-0.647984\pi\) |
−0.0721436 | + | 0.997394i | \(0.522984\pi\) | |||||||
\(198\) | −10.6693 | + | 5.96227i | −0.758235 | + | 0.423720i | ||||
\(199\) | 5.67444 | + | 13.6993i | 0.402251 | + | 0.971119i | 0.987119 | + | 0.159990i | \(0.0511463\pi\) |
−0.584868 | + | 0.811129i | \(0.698854\pi\) | |||||||
\(200\) | 19.6196 | − | 1.99713i | 1.38732 | − | 0.141218i | ||||
\(201\) | −0.405357 | + | 0.795731i | −0.0285917 | + | 0.0561265i | ||||
\(202\) | −4.63179 | + | 18.1546i | −0.325891 | + | 1.27735i | ||||
\(203\) | 4.49813 | + | 0.294823i | 0.315707 | + | 0.0206925i | ||||
\(204\) | −11.7354 | + | 15.6471i | −0.821642 | + | 1.09551i | ||||
\(205\) | −17.2951 | + | 19.7213i | −1.20794 | + | 1.37739i | ||||
\(206\) | 5.11936 | − | 7.86430i | 0.356683 | − | 0.547932i | ||||
\(207\) | −2.04885 | − | 19.4606i | −0.142405 | − | 1.35261i | ||||
\(208\) | −15.2485 | − | 20.6074i | −1.05730 | − | 1.42887i | ||||
\(209\) | −3.59890 | + | 0.964323i | −0.248941 | + | 0.0667036i | ||||
\(210\) | 21.7569 | + | 28.4132i | 1.50137 | + | 1.96070i | ||||
\(211\) | 15.5824 | − | 5.28953i | 1.07274 | − | 0.364146i | 0.271468 | − | 0.962447i | \(-0.412491\pi\) |
0.801271 | + | 0.598301i | \(0.204157\pi\) | |||||||
\(212\) | 2.73020 | − | 5.88840i | 0.187511 | − | 0.404417i | ||||
\(213\) | 25.8531 | − | 10.3170i | 1.77143 | − | 0.706908i | ||||
\(214\) | −0.411426 | + | 0.732775i | −0.0281245 | + | 0.0500915i | ||||
\(215\) | −3.30542 | − | 1.36915i | −0.225428 | − | 0.0933752i | ||||
\(216\) | −14.4231 | + | 2.82379i | −0.981369 | + | 0.192134i | ||||
\(217\) | −6.63553 | + | 2.74853i | −0.450449 | + | 0.186582i | ||||
\(218\) | 12.0001 | + | 1.43360i | 0.812749 | + | 0.0970955i | ||||
\(219\) | −2.71956 | − | 1.16813i | −0.183771 | − | 0.0789351i | ||||
\(220\) | 4.69627 | − | 19.3748i | 0.316623 | − | 1.30625i | ||||
\(221\) | −16.0045 | + | 32.4540i | −1.07658 | + | 2.18309i | ||||
\(222\) | −1.30003 | − | 4.87135i | −0.0872525 | − | 0.326944i | ||||
\(223\) | 8.02807 | + | 4.63501i | 0.537599 | + | 0.310383i | 0.744105 | − | 0.668062i | \(-0.232876\pi\) |
−0.206506 | + | 0.978445i | \(0.566209\pi\) | |||||||
\(224\) | 6.05584 | + | 23.1047i | 0.404623 | + | 1.54375i | ||||
\(225\) | 3.26855 | − | 20.6603i | 0.217904 | − | 1.37736i | ||||
\(226\) | −1.24064 | + | 6.65332i | −0.0825260 | + | 0.442572i | ||||
\(227\) | 1.09565 | − | 0.0718125i | 0.0727207 | − | 0.00476637i | −0.0289994 | − | 0.999579i | \(-0.509232\pi\) |
0.101720 | + | 0.994813i | \(0.467565\pi\) | |||||||
\(228\) | −4.47361 | − | 0.243858i | −0.296272 | − | 0.0161499i | ||||
\(229\) | −16.2004 | + | 14.2074i | −1.07055 | + | 0.938848i | −0.998285 | − | 0.0585373i | \(-0.981356\pi\) |
−0.0722659 | + | 0.997385i | \(0.523023\pi\) | |||||||
\(230\) | 25.5535 | + | 19.1252i | 1.68495 | + | 1.26108i | ||||
\(231\) | 20.0365 | − | 6.51219i | 1.31830 | − | 0.428471i | ||||
\(232\) | −0.885995 | − | 2.88674i | −0.0581685 | − | 0.189524i | ||||
\(233\) | 19.6339 | + | 8.13263i | 1.28626 | + | 0.532786i | 0.917868 | − | 0.396885i | \(-0.129909\pi\) |
0.368391 | + | 0.929671i | \(0.379909\pi\) | |||||||
\(234\) | −25.2642 | + | 10.0526i | −1.65157 | + | 0.657156i | ||||
\(235\) | 9.08138 | + | 6.06798i | 0.592404 | + | 0.395832i | ||||
\(236\) | 3.42658 | + | 2.86254i | 0.223052 | + | 0.186336i | ||||
\(237\) | −20.7943 | + | 5.28302i | −1.35073 | + | 0.343169i | ||||
\(238\) | 25.0796 | − | 22.5323i | 1.62567 | − | 1.46055i | ||||
\(239\) | 6.24106 | − | 23.2920i | 0.403701 | − | 1.50663i | −0.402739 | − | 0.915315i | \(-0.631942\pi\) |
0.806440 | − | 0.591316i | \(-0.201392\pi\) | |||||||
\(240\) | 12.6129 | − | 20.3860i | 0.814162 | − | 1.31591i | ||||
\(241\) | 2.15338 | + | 8.03652i | 0.138711 | + | 0.517678i | 0.999955 | + | 0.00948564i | \(0.00301942\pi\) |
−0.861244 | + | 0.508192i | \(0.830314\pi\) | |||||||
\(242\) | 3.20121 | + | 2.08386i | 0.205781 | + | 0.133956i | ||||
\(243\) | −1.01270 | + | 15.5555i | −0.0649648 | + | 0.997888i | ||||
\(244\) | 3.50625 | + | 15.6542i | 0.224465 | + | 1.00216i | ||||
\(245\) | −16.5710 | − | 33.6027i | −1.05868 | − | 2.14680i | ||||
\(246\) | 3.60438 | + | 18.2160i | 0.229807 | + | 1.16141i | ||||
\(247\) | −8.21796 | + | 1.08192i | −0.522896 | + | 0.0688406i | ||||
\(248\) | 3.30035 | + | 3.50075i | 0.209573 | + | 0.222298i | ||||
\(249\) | −0.347811 | + | 0.386352i | −0.0220417 | + | 0.0244841i | ||||
\(250\) | 5.96707 | + | 7.58623i | 0.377391 | + | 0.479795i | ||||
\(251\) | −15.7093 | + | 3.12478i | −0.991565 | + | 0.197235i | −0.664112 | − | 0.747633i | \(-0.731190\pi\) |
−0.327453 | + | 0.944868i | \(0.606190\pi\) | |||||||
\(252\) | 25.3339 | + | 0.0508887i | 1.59589 | + | 0.00320569i | ||||
\(253\) | 15.6239 | − | 10.4396i | 0.982267 | − | 0.656330i | ||||
\(254\) | 0.888285 | + | 11.4465i | 0.0557359 | + | 0.718220i | ||||
\(255\) | −33.7340 | − | 2.65194i | −2.11250 | − | 0.166071i | ||||
\(256\) | 13.0260 | − | 9.29110i | 0.814122 | − | 0.580694i | ||||
\(257\) | −1.79256 | − | 3.10480i | −0.111817 | − | 0.193672i | 0.804686 | − | 0.593700i | \(-0.202334\pi\) |
−0.916503 | + | 0.400028i | \(0.869000\pi\) | |||||||
\(258\) | −2.19471 | + | 1.26418i | −0.136637 | + | 0.0787044i | ||||
\(259\) | 0.568414 | + | 8.67232i | 0.0353195 | + | 0.538872i | ||||
\(260\) | 15.9844 | − | 41.3705i | 0.991313 | − | 2.56569i | ||||
\(261\) | −3.20032 | + | 0.126304i | −0.198095 | + | 0.00781804i | ||||
\(262\) | 6.50639 | − | 16.2568i | 0.401966 | − | 1.00435i | ||||
\(263\) | 26.1549 | + | 3.44336i | 1.61278 | + | 0.212327i | 0.882328 | − | 0.470635i | \(-0.155975\pi\) |
0.730454 | + | 0.682962i | \(0.239308\pi\) | |||||||
\(264\) | −8.84659 | − | 10.9961i | −0.544470 | − | 0.676766i | ||||
\(265\) | 11.1330 | − | 1.46568i | 0.683893 | − | 0.0900362i | ||||
\(266\) | 7.48318 | + | 1.90919i | 0.458823 | + | 0.117060i | ||||
\(267\) | 7.01139 | + | 17.5697i | 0.429090 | + | 1.07525i | ||||
\(268\) | −0.984128 | − | 0.307939i | −0.0601152 | − | 0.0188103i | ||||
\(269\) | −15.5663 | − | 3.09633i | −0.949094 | − | 0.188786i | −0.303813 | − | 0.952732i | \(-0.598260\pi\) |
−0.645281 | + | 0.763945i | \(0.723260\pi\) | |||||||
\(270\) | −17.4872 | − | 18.4583i | −1.06424 | − | 1.12334i | ||||
\(271\) | 10.3740 | − | 10.3740i | 0.630177 | − | 0.630177i | −0.317935 | − | 0.948112i | \(-0.602989\pi\) |
0.948112 | + | 0.317935i | \(0.102989\pi\) | |||||||
\(272\) | −20.0781 | − | 10.3410i | −1.21741 | − | 0.627018i | ||||
\(273\) | 46.0846 | − | 8.54546i | 2.78917 | − | 0.517195i | ||||
\(274\) | 2.75114 | − | 2.47170i | 0.166202 | − | 0.149321i | ||||
\(275\) | 19.0203 | − | 6.45651i | 1.14696 | − | 0.389342i | ||||
\(276\) | 21.7599 | − | 6.08770i | 1.30979 | − | 0.366436i | ||||
\(277\) | 7.60100 | − | 3.74840i | 0.456700 | − | 0.225219i | −0.199363 | − | 0.979926i | \(-0.563887\pi\) |
0.656063 | + | 0.754706i | \(0.272221\pi\) | |||||||
\(278\) | 0.0593831 | + | 4.94928i | 0.00356156 | + | 0.296838i | ||||
\(279\) | 4.48421 | − | 2.43575i | 0.268463 | − | 0.145825i | ||||
\(280\) | −28.1491 | + | 30.2521i | −1.68223 | + | 1.80791i | ||||
\(281\) | 0.114358 | − | 0.868636i | 0.00682204 | − | 0.0518185i | −0.987695 | − | 0.156391i | \(-0.950014\pi\) |
0.994517 | + | 0.104572i | \(0.0333474\pi\) | |||||||
\(282\) | 7.32412 | − | 2.47800i | 0.436145 | − | 0.147563i | ||||
\(283\) | −7.82392 | + | 6.86139i | −0.465083 | + | 0.407867i | −0.859557 | − | 0.511040i | \(-0.829260\pi\) |
0.394473 | + | 0.918907i | \(0.370927\pi\) | |||||||
\(284\) | 16.7342 | + | 27.4421i | 0.992991 | + | 1.62839i | ||||
\(285\) | −3.78795 | − | 6.76248i | −0.224379 | − | 0.400575i | ||||
\(286\) | −19.8359 | − | 16.9790i | −1.17292 | − | 1.00399i | ||||
\(287\) | − | 32.0089i | − | 1.88942i | ||||||
\(288\) | −5.99788 | − | 15.8753i | −0.353429 | − | 0.935461i | ||||
\(289\) | 14.8792i | 0.875247i | ||||||||
\(290\) | 3.39716 | − | 3.96878i | 0.199488 | − | 0.233055i | ||||
\(291\) | 13.4942 | − | 22.6862i | 0.791042 | − | 1.32989i | ||||
\(292\) | 0.805106 | − | 3.32153i | 0.0471153 | − | 0.194378i | ||||
\(293\) | −13.9096 | + | 12.1984i | −0.812608 | + | 0.712638i | −0.961078 | − | 0.276279i | \(-0.910899\pi\) |
0.148469 | + | 0.988917i | \(0.452565\pi\) | |||||||
\(294\) | −26.0085 | − | 5.20056i | −1.51684 | − | 0.303303i | ||||
\(295\) | −1.00826 | + | 7.65852i | −0.0587033 | + | 0.445896i | ||||
\(296\) | 5.29500 | − | 2.42002i | 0.307766 | − | 0.140661i | ||||
\(297\) | −13.6734 | + | 6.09209i | −0.793409 | + | 0.353499i | ||||
\(298\) | −13.1437 | + | 0.157702i | −0.761392 | + | 0.00913543i | ||||
\(299\) | 37.4924 | − | 18.4892i | 2.16824 | − | 1.06926i | ||||
\(300\) | 24.1517 | − | 0.265520i | 1.39440 | − | 0.0153298i | ||||
\(301\) | 4.13419 | − | 1.40337i | 0.238291 | − | 0.0808888i | ||||
\(302\) | −8.42528 | − | 9.37780i | −0.484820 | − | 0.539632i | ||||
\(303\) | −7.65795 | + | 21.6314i | −0.439938 | + | 1.24269i | ||||
\(304\) | −0.585611 | − | 5.14010i | −0.0335871 | − | 0.294805i | ||||
\(305\) | −19.6248 | + | 19.6248i | −1.12372 | + | 1.12372i | ||||
\(306\) | −16.0451 | + | 17.7871i | −0.917237 | + | 1.01682i | ||||
\(307\) | −21.9255 | − | 4.36125i | −1.25135 | − | 0.248910i | −0.475439 | − | 0.879748i | \(-0.657711\pi\) |
−0.775914 | + | 0.630839i | \(0.782711\pi\) | |||||||
\(308\) | 11.2802 | + | 21.5542i | 0.642747 | + | 1.22816i | ||||
\(309\) | 7.11428 | − | 9.02605i | 0.404717 | − | 0.513474i | ||||
\(310\) | −2.05771 | + | 8.06530i | −0.116870 | + | 0.458078i | ||||
\(311\) | 12.2502 | − | 1.61278i | 0.694648 | − | 0.0914521i | 0.225069 | − | 0.974343i | \(-0.427739\pi\) |
0.469579 | + | 0.882891i | \(0.344406\pi\) | |||||||
\(312\) | −16.3195 | − | 26.8226i | −0.923909 | − | 1.51853i | ||||
\(313\) | 23.7755 | + | 3.13011i | 1.34387 | + | 0.176924i | 0.767913 | − | 0.640555i | \(-0.221296\pi\) |
0.575959 | + | 0.817479i | \(0.304629\pi\) | |||||||
\(314\) | 22.2125 | + | 8.89004i | 1.25353 | + | 0.501694i | ||||
\(315\) | 23.3945 | + | 37.0636i | 1.31813 | + | 2.08830i | ||||
\(316\) | −10.0270 | − | 22.6541i | −0.564064 | − | 1.27439i | ||||
\(317\) | 1.59987 | + | 24.4093i | 0.0898576 | + | 1.37096i | 0.770076 | + | 0.637953i | \(0.220218\pi\) |
−0.680218 | + | 0.733010i | \(0.738115\pi\) | |||||||
\(318\) | 3.98155 | − | 6.88027i | 0.223274 | − | 0.385827i | ||||
\(319\) | −1.53778 | − | 2.66352i | −0.0860993 | − | 0.149128i | ||||
\(320\) | 25.6426 | + | 10.4257i | 1.43346 | + | 0.582812i | ||||
\(321\) | −0.582896 | + | 0.848279i | −0.0325341 | + | 0.0473463i | ||||
\(322\) | −38.8323 | + | 3.01349i | −2.16404 | + | 0.167935i | ||||
\(323\) | −6.07172 | + | 4.05700i | −0.337840 | + | 0.225737i | ||||
\(324\) | −17.9048 | + | 1.84870i | −0.994712 | + | 0.102705i | ||||
\(325\) | 43.8270 | − | 8.71773i | 2.43108 | − | 0.483573i | ||||
\(326\) | −11.4124 | + | 8.97663i | −0.632075 | + | 0.497169i | ||||
\(327\) | 14.4784 | + | 3.07615i | 0.800657 | + | 0.170111i | ||||
\(328\) | −20.0428 | + | 7.61845i | −1.10668 | + | 0.420659i | ||||
\(329\) | −13.2140 | + | 1.73966i | −0.728513 | + | 0.0959106i | ||||
\(330\) | 7.87160 | − | 23.1127i | 0.433317 | − | 1.27231i | ||||
\(331\) | −13.5271 | − | 27.4303i | −0.743519 | − | 1.50771i | −0.857645 | − | 0.514242i | \(-0.828073\pi\) |
0.114126 | − | 0.993466i | \(-0.463593\pi\) | |||||||
\(332\) | −0.506962 | − | 0.321420i | −0.0278232 | − | 0.0176402i | ||||
\(333\) | −1.04680 | − | 6.08560i | −0.0573642 | − | 0.333489i | ||||
\(334\) | −13.9084 | + | 21.3660i | −0.761036 | + | 1.16910i | ||||
\(335\) | −0.461735 | − | 1.72322i | −0.0252273 | − | 0.0941494i | ||||
\(336\) | 4.83054 | + | 28.8516i | 0.263528 | + | 1.57398i | ||||
\(337\) | −2.40431 | + | 8.97299i | −0.130971 | + | 0.488790i | −0.999982 | − | 0.00600263i | \(-0.998089\pi\) |
0.869011 | + | 0.494793i | \(0.164756\pi\) | |||||||
\(338\) | −26.5340 | − | 29.5338i | −1.44326 | − | 1.60643i | ||||
\(339\) | −2.24929 | + | 7.97806i | −0.122165 | + | 0.433309i | ||||
\(340\) | −3.49022 | − | 38.9166i | −0.189284 | − | 2.11055i | ||||
\(341\) | 4.07445 | + | 2.72246i | 0.220644 | + | 0.147429i | ||||
\(342\) | −5.42966 | − | 0.792345i | −0.293602 | − | 0.0428451i | ||||
\(343\) | 14.9331 | + | 6.18550i | 0.806312 | + | 0.333986i | ||||
\(344\) | −1.86272 | − | 2.25466i | −0.100431 | − | 0.121563i | ||||
\(345\) | 29.0529 | + | 26.1547i | 1.56415 | + | 1.40812i | ||||
\(346\) | −10.8047 | + | 14.4363i | −0.580862 | + | 0.776099i | ||||
\(347\) | 14.7244 | − | 12.9130i | 0.790448 | − | 0.693205i | −0.165671 | − | 0.986181i | \(-0.552979\pi\) |
0.956120 | + | 0.292976i | \(0.0946457\pi\) | |||||||
\(348\) | −0.761332 | − | 3.61908i | −0.0408117 | − | 0.194003i | ||||
\(349\) | 3.03464 | − | 0.198901i | 0.162440 | − | 0.0106469i | 0.0160340 | − | 0.999871i | \(-0.494896\pi\) |
0.146406 | + | 0.989225i | \(0.453229\pi\) | |||||||
\(350\) | −40.9288 | − | 7.63196i | −2.18774 | − | 0.407945i | ||||
\(351\) | −31.9278 | + | 9.46659i | −1.70418 | + | 0.505289i | ||||
\(352\) | 10.8117 | − | 12.1934i | 0.576263 | − | 0.649908i | ||||
\(353\) | 0.792584 | + | 0.457599i | 0.0421850 | + | 0.0243555i | 0.520944 | − | 0.853591i | \(-0.325580\pi\) |
−0.478759 | + | 0.877946i | \(0.658913\pi\) | |||||||
\(354\) | 3.86286 | + | 3.87063i | 0.205309 | + | 0.205722i | ||||
\(355\) | −24.5945 | + | 49.8727i | −1.30534 | + | 2.64697i | ||||
\(356\) | −18.6495 | + | 11.3725i | −0.988423 | + | 0.602740i | ||||
\(357\) | 33.0833 | − | 24.7090i | 1.75095 | − | 1.30774i | ||||
\(358\) | 0.123098 | − | 1.03041i | 0.00650593 | − | 0.0544586i | ||||
\(359\) | −20.7629 | + | 8.60029i | −1.09583 | + | 0.453906i | −0.856035 | − | 0.516919i | \(-0.827079\pi\) |
−0.239791 | + | 0.970824i | \(0.577079\pi\) | |||||||
\(360\) | 17.6397 | − | 23.4703i | 0.929695 | − | 1.23699i | ||||
\(361\) | 16.0083 | + | 6.63086i | 0.842543 | + | 0.348993i | ||||
\(362\) | −9.58945 | − | 5.38412i | −0.504010 | − | 0.282983i | ||||
\(363\) | 3.67411 | + | 2.89591i | 0.192841 | + | 0.151996i | ||||
\(364\) | 18.6213 | + | 50.8167i | 0.976019 | + | 2.66352i | ||||
\(365\) | 5.59905 | − | 1.90062i | 0.293068 | − | 0.0994830i | ||||
\(366\) | 2.54494 | + | 19.4819i | 0.133026 | + | 1.01834i | ||||
\(367\) | 23.5942 | − | 6.32205i | 1.23161 | − | 0.330008i | 0.416402 | − | 0.909181i | \(-0.363291\pi\) |
0.815205 | + | 0.579173i | \(0.196624\pi\) | |||||||
\(368\) | 11.1294 | + | 23.5981i | 0.580162 | + | 1.23014i | ||||
\(369\) | 2.38122 | + | 22.6176i | 0.123961 | + | 1.17742i | ||||
\(370\) | 8.44117 | + | 5.49488i | 0.438836 | + | 0.285665i | ||||
\(371\) | −9.03477 | + | 10.3022i | −0.469062 | + | 0.534863i | ||||
\(372\) | 3.63829 | + | 4.63511i | 0.188637 | + | 0.240319i | ||||
\(373\) | −30.1543 | − | 1.97642i | −1.56133 | − | 0.102335i | −0.739930 | − | 0.672684i | \(-0.765141\pi\) |
−0.821403 | + | 0.570349i | \(0.806808\pi\) | |||||||
\(374\) | −22.2889 | − | 5.68659i | −1.15253 | − | 0.294047i | ||||
\(375\) | 6.43903 | + | 9.91333i | 0.332510 | + | 0.511922i | ||||
\(376\) | 4.23439 | + | 7.86009i | 0.218372 | + | 0.405353i | ||||
\(377\) | −2.61839 | − | 6.32135i | −0.134854 | − | 0.325566i | ||||
\(378\) | 30.8952 | + | 2.86469i | 1.58908 | + | 0.147344i | ||||
\(379\) | 5.67402 | − | 1.12863i | 0.291455 | − | 0.0579740i | −0.0471973 | − | 0.998886i | \(-0.515029\pi\) |
0.338652 | + | 0.940912i | \(0.390029\pi\) | |||||||
\(380\) | 6.96790 | − | 5.61734i | 0.357446 | − | 0.288163i | ||||
\(381\) | −0.182821 | + | 14.0601i | −0.00936620 | + | 0.720319i | ||||
\(382\) | −2.16362 | − | 1.03490i | −0.110701 | − | 0.0529500i | ||||
\(383\) | 1.60890 | + | 2.78670i | 0.0822111 | + | 0.142394i | 0.904199 | − | 0.427111i | \(-0.140468\pi\) |
−0.821988 | + | 0.569504i | \(0.807135\pi\) | |||||||
\(384\) | 16.9161 | − | 9.89170i | 0.863246 | − | 0.504783i | ||||
\(385\) | −21.0440 | + | 36.4492i | −1.07250 | + | 1.85763i | ||||
\(386\) | 26.7579 | − | 18.3472i | 1.36194 | − | 0.933849i | ||||
\(387\) | −2.81683 | + | 1.29918i | −0.143187 | + | 0.0660408i | ||||
\(388\) | 28.4313 | + | 10.9851i | 1.44338 | + | 0.557682i | ||||
\(389\) | 2.29782 | − | 6.76916i | 0.116504 | − | 0.343210i | −0.872999 | − | 0.487722i | \(-0.837828\pi\) |
0.989503 | + | 0.144512i | \(0.0461612\pi\) | |||||||
\(390\) | 24.0735 | − | 48.6929i | 1.21901 | − | 2.46566i | ||||
\(391\) | 22.4197 | − | 29.2179i | 1.13381 | − | 1.47761i | ||||
\(392\) | 0.902021 | − | 30.6132i | 0.0455589 | − | 1.54620i | ||||
\(393\) | 9.73453 | − | 19.1092i | 0.491042 | − | 0.963934i | ||||
\(394\) | −2.84819 | − | 10.1413i | −0.143490 | − | 0.510911i | ||||
\(395\) | 23.8120 | − | 35.6372i | 1.19811 | − | 1.79310i | ||||
\(396\) | −9.57406 | − | 14.3911i | −0.481115 | − | 0.723179i | ||||
\(397\) | −15.0293 | − | 2.98952i | −0.754301 | − | 0.150040i | −0.197061 | − | 0.980391i | \(-0.563140\pi\) |
−0.557240 | + | 0.830352i | \(0.688140\pi\) | |||||||
\(398\) | −18.6948 | + | 9.49977i | −0.937086 | + | 0.476181i | ||||
\(399\) | 8.91631 | + | 3.15655i | 0.446374 | + | 0.158025i | ||||
\(400\) | 4.96264 | + | 27.4446i | 0.248132 | + | 1.37223i | ||||
\(401\) | 9.15751 | − | 34.1763i | 0.457304 | − | 1.70668i | −0.223920 | − | 0.974607i | \(-0.571886\pi\) |
0.681225 | − | 0.732075i | \(-0.261448\pi\) | |||||||
\(402\) | −1.16631 | − | 0.484476i | −0.0581704 | − | 0.0241634i | ||||
\(403\) | 8.19628 | + | 7.18795i | 0.408286 | + | 0.358057i | ||||
\(404\) | −26.1043 | − | 4.54426i | −1.29874 | − | 0.226086i | ||||
\(405\) | −19.2878 | − | 24.4488i | −0.958421 | − | 1.21487i | ||||
\(406\) | 0.0764835 | + | 6.37451i | 0.00379581 | + | 0.316362i | ||||
\(407\) | 4.70430 | − | 3.60973i | 0.233183 | − | 0.178928i | ||||
\(408\) | −23.3460 | − | 14.8345i | −1.15580 | − | 0.734419i | ||||
\(409\) | −10.7220 | − | 8.22728i | −0.530169 | − | 0.406813i | 0.308689 | − | 0.951163i | \(-0.400110\pi\) |
−0.838858 | + | 0.544350i | \(0.816776\pi\) | |||||||
\(410\) | −29.6989 | − | 22.2278i | −1.46672 | − | 1.09775i | ||||
\(411\) | 3.62910 | − | 2.71048i | 0.179011 | − | 0.133698i | ||||
\(412\) | 11.6486 | + | 6.35767i | 0.573886 | + | 0.313220i | ||||
\(413\) | −5.23693 | − | 7.83761i | −0.257692 | − | 0.385664i | ||||
\(414\) | 27.2148 | − | 5.01817i | 1.33753 | − | 0.246630i | ||||
\(415\) | − | 1.03850i | − | 0.0509779i | ||||||
\(416\) | 27.3875 | − | 23.7549i | 1.34278 | − | 1.16468i | ||||
\(417\) | −0.475091 | + | 6.04339i | −0.0232653 | + | 0.295946i | ||||
\(418\) | −1.75346 | − | 4.96885i | −0.0857643 | − | 0.243034i | ||||
\(419\) | 10.0630 | − | 20.4057i | 0.491608 | − | 0.996882i | −0.499808 | − | 0.866136i | \(-0.666596\pi\) |
0.991416 | − | 0.130746i | \(-0.0417371\pi\) | |||||||
\(420\) | −37.6813 | + | 33.7856i | −1.83866 | + | 1.64857i | ||||
\(421\) | −8.41400 | − | 2.85617i | −0.410073 | − | 0.139201i | 0.108777 | − | 0.994066i | \(-0.465307\pi\) |
−0.518850 | + | 0.854865i | \(0.673640\pi\) | |||||||
\(422\) | 9.16309 | + | 21.3921i | 0.446052 | + | 1.04135i | ||||
\(423\) | 9.20765 | − | 2.21227i | 0.447691 | − | 0.107564i | ||||
\(424\) | 8.60122 | + | 3.20522i | 0.417712 | + | 0.155659i | ||||
\(425\) | 31.2323 | − | 23.9654i | 1.51499 | − | 1.16249i | ||||
\(426\) | 17.3755 | + | 35.3234i | 0.841845 | + | 1.71142i | ||||
\(427\) | 2.21504 | − | 33.7949i | 0.107193 | − | 1.63545i | ||||
\(428\) | −1.07821 | − | 0.499921i | −0.0521173 | − | 0.0241646i | ||||
\(429\) | −22.3163 | − | 22.9043i | −1.07744 | − | 1.10583i | ||||
\(430\) | 1.56879 | − | 4.81036i | 0.0756539 | − | 0.231976i | ||||
\(431\) | 22.6396 | + | 22.6396i | 1.09051 | + | 1.09051i | 0.995474 | + | 0.0950366i | \(0.0302968\pi\) |
0.0950366 | + | 0.995474i | \(0.469703\pi\) | |||||||
\(432\) | −5.55961 | − | 20.0272i | −0.267487 | − | 0.963561i | ||||
\(433\) | 20.0291 | − | 20.0291i | 0.962536 | − | 0.962536i | −0.0367870 | − | 0.999323i | \(-0.511712\pi\) |
0.999323 | + | 0.0367870i | \(0.0117123\pi\) | |||||||
\(434\) | −4.60140 | − | 9.05519i | −0.220874 | − | 0.434663i | ||||
\(435\) | 4.58270 | − | 4.46505i | 0.219724 | − | 0.214083i | ||||
\(436\) | −0.708309 | + | 17.0767i | −0.0339218 | + | 0.817825i | ||||
\(437\) | 8.41803 | + | 0.551747i | 0.402689 | + | 0.0263936i | ||||
\(438\) | 1.34947 | − | 3.96233i | 0.0644801 | − | 0.189327i | ||||
\(439\) | 18.6295 | + | 24.2785i | 0.889138 | + | 1.15875i | 0.986543 | + | 0.163503i | \(0.0522793\pi\) |
−0.0974045 | + | 0.995245i | \(0.531054\pi\) | |||||||
\(440\) | 27.8319 | + | 4.50167i | 1.32683 | + | 0.214609i | ||||
\(441\) | −31.1482 | − | 9.22056i | −1.48325 | − | 0.439074i | ||||
\(442\) | −47.5105 | − | 19.0149i | −2.25984 | − | 0.904448i | ||||
\(443\) | −6.28581 | + | 18.5174i | −0.298648 | + | 0.879788i | 0.689228 | + | 0.724544i | \(0.257950\pi\) |
−0.987876 | + | 0.155244i | \(0.950384\pi\) | |||||||
\(444\) | 6.72624 | − | 2.36603i | 0.319213 | − | 0.112287i | ||||
\(445\) | −33.8933 | − | 16.7143i | −1.60670 | − | 0.792335i | ||||
\(446\) | −5.65683 | + | 11.8265i | −0.267859 | + | 0.560002i | ||||
\(447\) | −16.0493 | − | 1.26169i | −0.759105 | − | 0.0596757i | ||||
\(448\) | −31.9144 | + | 11.0666i | −1.50781 | + | 0.522850i | ||||
\(449\) | −3.68299 | −0.173811 | −0.0869055 | − | 0.996217i | \(-0.527698\pi\) | ||||
−0.0869055 | + | 0.996217i | \(0.527698\pi\) | |||||||
\(450\) | 29.4882 | + | 2.34797i | 1.39009 | + | 0.110684i | ||||
\(451\) | −18.1584 | + | 12.1331i | −0.855048 | + | 0.571325i | ||||
\(452\) | −9.51676 | − | 1.02127i | −0.447631 | − | 0.0480367i | ||||
\(453\) | −9.23920 | − | 12.3705i | −0.434096 | − | 0.581218i | ||||
\(454\) | 0.221137 | + | 1.53698i | 0.0103785 | + | 0.0721339i | ||||
\(455\) | −56.9999 | + | 74.2838i | −2.67220 | + | 3.48248i | ||||
\(456\) | −0.145660 | − | 6.33436i | −0.00682115 | − | 0.296634i | ||||
\(457\) | −17.1230 | − | 22.3151i | −0.800978 | − | 1.04386i | −0.997985 | − | 0.0634533i | \(-0.979789\pi\) |
0.197006 | − | 0.980402i | \(-0.436878\pi\) | |||||||
\(458\) | −21.8046 | − | 21.2876i | −1.01886 | − | 0.994703i | ||||
\(459\) | −21.5386 | + | 19.9206i | −1.00533 | + | 0.929812i | ||||
\(460\) | −24.1701 | + | 38.1225i | −1.12694 | + | 1.77747i | ||||
\(461\) | −7.97450 | + | 9.09318i | −0.371410 | + | 0.423511i | −0.907108 | − | 0.420898i | \(-0.861715\pi\) |
0.535698 | + | 0.844409i | \(0.320048\pi\) | |||||||
\(462\) | 11.3744 | + | 27.5384i | 0.529184 | + | 1.28120i | ||||
\(463\) | −18.4672 | − | 4.94826i | −0.858242 | − | 0.229965i | −0.197245 | − | 0.980354i | \(-0.563200\pi\) |
−0.660997 | + | 0.750389i | \(0.729866\pi\) | |||||||
\(464\) | 3.97328 | − | 1.56509i | 0.184455 | − | 0.0726576i | ||||
\(465\) | −3.40210 | + | 9.60992i | −0.157769 | + | 0.445649i | ||||
\(466\) | −9.31849 | + | 28.5731i | −0.431671 | + | 1.32363i | ||||
\(467\) | 2.84724 | − | 14.3140i | 0.131754 | − | 0.662374i | −0.857299 | − | 0.514818i | \(-0.827859\pi\) |
0.989054 | − | 0.147556i | \(-0.0471407\pi\) | |||||||
\(468\) | −16.9382 | − | 34.5219i | −0.782969 | − | 1.59578i | ||||
\(469\) | 1.81011 | + | 1.20947i | 0.0835829 | + | 0.0558483i | ||||
\(470\) | −7.56203 | + | 13.4685i | −0.348811 | + | 0.621254i | ||||
\(471\) | 26.1100 | + | 13.3008i | 1.20309 | + | 0.612870i | ||||
\(472\) | −3.66118 | + | 5.14461i | −0.168520 | + | 0.236800i | ||||
\(473\) | −2.36320 | − | 1.81335i | −0.108660 | − | 0.0833778i | ||||
\(474\) | −9.72419 | − | 28.7413i | −0.446647 | − | 1.32013i | ||||
\(475\) | 8.53914 | + | 2.89865i | 0.391802 | + | 0.132999i | ||||
\(476\) | 34.5141 | + | 32.8962i | 1.58195 | + | 1.50780i | ||||
\(477\) | 5.61759 | − | 7.95167i | 0.257212 | − | 0.364082i | ||||
\(478\) | 33.5239 | + | 6.25118i | 1.53335 | + | 0.285922i | ||||
\(479\) | −21.7211 | − | 12.5407i | −0.992461 | − | 0.572998i | −0.0864519 | − | 0.996256i | \(-0.527553\pi\) |
−0.906009 | + | 0.423258i | \(0.860886\pi\) | |||||||
\(480\) | 30.1239 | + | 15.5533i | 1.37496 | + | 0.709909i | ||||
\(481\) | 11.4243 | − | 6.59580i | 0.520901 | − | 0.300743i | ||||
\(482\) | −11.0957 | + | 3.91555i | −0.505394 | + | 0.178348i | ||||
\(483\) | −47.6986 | − | 0.620217i | −2.17036 | − | 0.0282209i | ||||
\(484\) | −2.58792 | + | 4.74163i | −0.117633 | + | 0.215529i | ||||
\(485\) | 10.2874 | + | 51.7184i | 0.467128 | + | 2.34841i | ||||
\(486\) | −22.0437 | + | 0.274173i | −0.999923 | + | 0.0124367i | ||||
\(487\) | 26.1291 | − | 10.8230i | 1.18402 | − | 0.490437i | 0.298217 | − | 0.954498i | \(-0.403608\pi\) |
0.885803 | + | 0.464061i | \(0.153608\pi\) | |||||||
\(488\) | −21.6884 | + | 6.65658i | −0.981786 | + | 0.301329i | ||||
\(489\) | −14.9132 | + | 9.68662i | −0.674399 | + | 0.438044i | ||||
\(490\) | 45.5658 | − | 27.0414i | 2.05845 | − | 1.22161i | ||||
\(491\) | 0.0746135 | − | 1.13838i | 0.00336726 | − | 0.0513745i | −0.995845 | − | 0.0910687i | \(-0.970972\pi\) |
0.999212 | + | 0.0396942i | \(0.0126384\pi\) | |||||||
\(492\) | −25.2898 | + | 7.07525i | −1.14015 | + | 0.318977i | ||||
\(493\) | −4.53200 | − | 3.97445i | −0.204111 | − | 0.179000i | ||||
\(494\) | −2.42467 | − | 11.4687i | −0.109091 | − | 0.516003i | ||||
\(495\) | 12.1582 | − | 27.3206i | 0.546469 | − | 1.22797i | ||||
\(496\) | −4.57485 | + | 5.03646i | −0.205417 | + | 0.226144i | ||||
\(497\) | −17.5626 | − | 65.5447i | −0.787792 | − | 2.94008i | ||||
\(498\) | −0.582803 | − | 0.448131i | −0.0261160 | − | 0.0200812i | ||||
\(499\) | −9.24509 | − | 27.2352i | −0.413867 | − | 1.21921i | −0.931541 | − | 0.363636i | \(-0.881535\pi\) |
0.517674 | − | 0.855578i | \(-0.326798\pi\) | |||||||
\(500\) | −10.0435 | + | 9.24349i | −0.449158 | + | 0.413382i | ||||
\(501\) | −19.3283 | + | 24.5223i | −0.863526 | + | 1.09557i | ||||
\(502\) | −6.12475 | − | 21.8079i | −0.273361 | − | 0.973333i | ||||
\(503\) | 2.78488 | − | 6.72329i | 0.124172 | − | 0.299777i | −0.849554 | − | 0.527502i | \(-0.823129\pi\) |
0.973725 | + | 0.227725i | \(0.0731288\pi\) | |||||||
\(504\) | 2.70024 | + | 35.7258i | 0.120278 | + | 1.59135i | ||||
\(505\) | −17.5426 | − | 42.3517i | −0.780638 | − | 1.88463i | ||||
\(506\) | 16.4291 | + | 20.8870i | 0.730361 | + | 0.928542i | ||||
\(507\) | −29.0973 | − | 38.9589i | −1.29226 | − | 1.73023i | ||||
\(508\) | −16.0421 | + | 2.50492i | −0.711755 | + | 0.111138i | ||||
\(509\) | 31.1364 | + | 15.3548i | 1.38009 | + | 0.680588i | 0.972571 | − | 0.232607i | \(-0.0747256\pi\) |
0.407524 | + | 0.913194i | \(0.366392\pi\) | |||||||
\(510\) | 0.0480628 | − | 47.8542i | 0.00212825 | − | 2.11902i | ||||
\(511\) | −3.60768 | + | 6.24868i | −0.159594 | + | 0.276425i | ||||
\(512\) | 14.5255 | + | 17.3496i | 0.641942 | + | 0.766753i | ||||
\(513\) | −6.53511 | − | 1.56712i | −0.288532 | − | 0.0691900i | ||||
\(514\) | 4.18155 | − | 2.86718i | 0.184440 | − | 0.126466i | ||||
\(515\) | 1.50159 | + | 22.9099i | 0.0661680 | + | 1.00953i | ||||
\(516\) | −2.02260 | − | 2.95616i | −0.0890401 | − | 0.130138i | ||||
\(517\) | 5.99573 | + | 6.83682i | 0.263692 | + | 0.300683i | ||||
\(518\) | −12.1656 | + | 1.75036i | −0.534524 | + | 0.0769063i | ||||
\(519\) | −14.7759 | + | 16.4132i | −0.648590 | + | 0.720459i | ||||
\(520\) | 60.0804 | + | 18.0110i | 2.63470 | + | 0.789833i | ||||
\(521\) | 9.72993 | − | 23.4901i | 0.426276 | − | 1.02912i | −0.554183 | − | 0.832395i | \(-0.686969\pi\) |
0.980458 | − | 0.196726i | \(-0.0630310\pi\) | |||||||
\(522\) | −0.528259 | − | 4.49855i | −0.0231213 | − | 0.196896i | ||||
\(523\) | 10.0943 | − | 15.1073i | 0.441395 | − | 0.660594i | −0.542353 | − | 0.840151i | \(-0.682466\pi\) |
0.983748 | + | 0.179557i | \(0.0574663\pi\) | |||||||
\(524\) | 23.6336 | + | 7.39506i | 1.03244 | + | 0.323055i | ||||
\(525\) | −49.0782 | − | 13.8368i | −2.14195 | − | 0.603888i | ||||
\(526\) | −1.99323 | + | 37.2545i | −0.0869090 | + | 1.62438i | ||||
\(527\) | 9.27695 | + | 2.48575i | 0.404110 | + | 0.108281i | ||||
\(528\) | 14.5363 | − | 13.6766i | 0.632611 | − | 0.595199i | ||||
\(529\) | −18.8800 | + | 5.05887i | −0.820868 | + | 0.219951i | ||||
\(530\) | 3.28472 | + | 15.5368i | 0.142679 | + | 0.674877i | ||||
\(531\) | 4.28348 | + | 5.14849i | 0.185887 | + | 0.223425i | ||||
\(532\) | −1.87311 | + | 10.7600i | −0.0812097 | + | 0.466504i | ||||
\(533\) | −43.5745 | + | 21.4886i | −1.88742 | + | 0.930773i | ||||
\(534\) | −24.0056 | + | 11.8083i | −1.03883 | + | 0.510996i | ||||
\(535\) | −0.268378 | − | 2.03853i | −0.0116030 | − | 0.0881335i | ||||
\(536\) | 0.326504 | − | 1.42129i | 0.0141028 | − | 0.0613904i | ||||
\(537\) | 0.264138 | − | 1.24321i | 0.0113984 | − | 0.0536484i | ||||
\(538\) | 2.66251 | − | 22.2869i | 0.114789 | − | 0.960855i | ||||
\(539\) | −6.08558 | − | 30.5943i | −0.262125 | − | 1.31779i | ||||
\(540\) | 24.1123 | − | 26.6762i | 1.03763 | − | 1.14796i | ||||
\(541\) | 1.04403 | + | 1.56250i | 0.0448863 | + | 0.0671771i | 0.853234 | − | 0.521528i | \(-0.174638\pi\) |
−0.808348 | + | 0.588705i | \(0.799638\pi\) | |||||||
\(542\) | 15.7622 | + | 13.4920i | 0.677045 | + | 0.579531i | ||||
\(543\) | −11.1010 | − | 7.62806i | −0.476389 | − | 0.327352i | ||||
\(544\) | 12.3837 | − | 29.4411i | 0.530947 | − | 1.26228i | ||||
\(545\) | −25.6076 | + | 14.7846i | −1.09691 | + | 0.633301i | ||||
\(546\) | 17.0914 | + | 64.0431i | 0.731443 | + | 2.74079i | ||||
\(547\) | −31.1498 | + | 2.04167i | −1.33187 | + | 0.0872954i | −0.714643 | − | 0.699489i | \(-0.753411\pi\) |
−0.617228 | + | 0.786785i | \(0.711744\pi\) | |||||||
\(548\) | 3.78606 | + | 3.60859i | 0.161732 | + | 0.154151i | ||||
\(549\) | 0.948937 | + | 24.0444i | 0.0404997 | + | 1.02619i | ||||
\(550\) | 11.1847 | + | 26.1116i | 0.476916 | + | 1.11340i | ||||
\(551\) | 0.180227 | − | 1.36896i | 0.00767793 | − | 0.0583197i | ||||
\(552\) | 10.9644 | + | 30.0147i | 0.466676 | + | 1.27751i | ||||
\(553\) | 6.82678 | + | 51.8545i | 0.290304 | + | 2.20508i | ||||
\(554\) | 6.11683 | + | 10.3071i | 0.259879 | + | 0.437906i | ||||
\(555\) | 9.68814 | + | 7.63614i | 0.411239 | + | 0.324136i | ||||
\(556\) | −6.97186 | + | 0.625269i | −0.295673 | + | 0.0265173i | ||||
\(557\) | 3.58293 | − | 18.0126i | 0.151814 | − | 0.763219i | −0.827594 | − | 0.561327i | \(-0.810291\pi\) |
0.979408 | − | 0.201892i | \(-0.0647090\pi\) | |||||||
\(558\) | 3.92500 | + | 6.05611i | 0.166158 | + | 0.256376i | ||||
\(559\) | −4.68585 | − | 4.68585i | −0.198190 | − | 0.198190i | ||||
\(560\) | −45.7347 | − | 36.3795i | −1.93264 | − | 1.53731i | ||||
\(561\) | −26.5576 | − | 9.40191i | −1.12126 | − | 0.396949i | ||||
\(562\) | 1.23727 | + | 0.0661976i | 0.0521910 | + | 0.00279238i | ||||
\(563\) | 4.67737 | + | 13.7791i | 0.197128 | + | 0.580719i | 0.999878 | − | 0.0155954i | \(-0.00496438\pi\) |
−0.802751 | + | 0.596315i | \(0.796631\pi\) | |||||||
\(564\) | 4.29531 | + | 10.0557i | 0.180865 | + | 0.423421i | ||||
\(565\) | −7.32390 | − | 14.8514i | −0.308119 | − | 0.624803i | ||||
\(566\) | −10.5305 | − | 10.2808i | −0.442628 | − | 0.432133i | ||||
\(567\) | 37.3671 | + | 6.91200i | 1.56927 | + | 0.290277i | ||||
\(568\) | −36.8616 | + | 26.5974i | −1.54668 | + | 1.11600i | ||||
\(569\) | 36.9317 | + | 4.86215i | 1.54826 | + | 0.203832i | 0.855678 | − | 0.517509i | \(-0.173141\pi\) |
0.692580 | + | 0.721341i | \(0.256474\pi\) | |||||||
\(570\) | 9.12045 | − | 6.08085i | 0.382014 | − | 0.254699i | ||||
\(571\) | −3.54085 | − | 4.03757i | −0.148180 | − | 0.168967i | 0.672988 | − | 0.739653i | \(-0.265011\pi\) |
−0.821168 | + | 0.570686i | \(0.806677\pi\) | |||||||
\(572\) | 21.7695 | − | 29.8260i | 0.910231 | − | 1.24709i | ||||
\(573\) | −2.52457 | − | 1.50166i | −0.105465 | − | 0.0627327i | ||||
\(574\) | 45.1317 | − | 3.50235i | 1.88376 | − | 0.146185i | ||||
\(575\) | −45.4792 | −1.89662 | ||||||||
\(576\) | 21.7275 | − | 10.1939i | 0.905313 | − | 0.424746i | ||||
\(577\) | −25.0386 | −1.04237 | −0.521185 | − | 0.853444i | \(-0.674510\pi\) | ||||
−0.521185 | + | 0.853444i | \(0.674510\pi\) | |||||||
\(578\) | −20.9793 | + | 1.62805i | −0.872623 | + | 0.0677180i | ||||
\(579\) | 34.6674 | − | 19.4187i | 1.44073 | − | 0.807012i | ||||
\(580\) | 5.96758 | + | 4.35565i | 0.247790 | + | 0.180859i | ||||
\(581\) | 0.835565 | + | 0.952780i | 0.0346651 | + | 0.0395280i | ||||
\(582\) | 33.4635 | + | 16.5442i | 1.38710 | + | 0.685777i | ||||
\(583\) | 9.26903 | + | 1.22029i | 0.383884 | + | 0.0505393i | ||||
\(584\) | 4.77136 | + | 0.771744i | 0.197440 | + | 0.0319350i | ||||
\(585\) | 34.7501 | − | 56.7295i | 1.43674 | − | 2.34547i | ||||
\(586\) | −18.7214 | − | 18.2775i | −0.773374 | − | 0.755035i | ||||
\(587\) | 0.729855 | + | 1.48000i | 0.0301243 | + | 0.0610861i | 0.911415 | − | 0.411489i | \(-0.134991\pi\) |
−0.881290 | + | 0.472575i | \(0.843325\pi\) | |||||||
\(588\) | 4.48687 | − | 37.2403i | 0.185035 | − | 1.53576i | ||||
\(589\) | 0.707162 | + | 2.08323i | 0.0291381 | + | 0.0858381i | ||||
\(590\) | −10.9086 | − | 0.583645i | −0.449101 | − | 0.0240283i | ||||
\(591\) | −2.35215 | − | 12.6848i | −0.0967543 | − | 0.521784i | ||||
\(592\) | 3.99154 | + | 7.20102i | 0.164051 | + | 0.295960i | ||||
\(593\) | 23.5105 | + | 23.5105i | 0.965461 | + | 0.965461i | 0.999423 | − | 0.0339618i | \(-0.0108125\pi\) |
−0.0339618 | + | 0.999423i | \(0.510812\pi\) | |||||||
\(594\) | −10.0858 | − | 18.6125i | −0.413826 | − | 0.763680i | ||||
\(595\) | −16.0929 | + | 80.9042i | −0.659743 | + | 3.31675i | ||||
\(596\) | −1.66051 | − | 18.5150i | −0.0680171 | − | 0.758403i | ||||
\(597\) | −23.8537 | + | 9.51909i | −0.976267 | + | 0.389590i | ||||
\(598\) | 30.1717 | + | 50.8403i | 1.23381 | + | 2.07902i | ||||
\(599\) | 5.62652 | + | 42.7377i | 0.229893 | + | 1.74621i | 0.584677 | + | 0.811266i | \(0.301221\pi\) |
−0.354784 | + | 0.934948i | \(0.615445\pi\) | |||||||
\(600\) | 3.01701 | + | 34.0243i | 0.123169 | + | 1.38904i | ||||
\(601\) | 2.78093 | − | 21.1233i | 0.113436 | − | 0.861635i | −0.836231 | − | 0.548377i | \(-0.815246\pi\) |
0.949668 | − | 0.313259i | \(-0.101421\pi\) | |||||||
\(602\) | 2.43107 | + | 5.67554i | 0.0990829 | + | 0.231318i | ||||
\(603\) | −1.36900 | − | 0.719959i | −0.0557500 | − | 0.0293190i | ||||
\(604\) | 12.3006 | − | 12.9055i | 0.500504 | − | 0.525119i | ||||
\(605\) | −9.32559 | + | 0.611231i | −0.379139 | + | 0.0248501i | ||||
\(606\) | −31.3377 | − | 8.43065i | −1.27301 | − | 0.342472i | ||||
\(607\) | 40.4773 | − | 23.3696i | 1.64292 | − | 0.948542i | 0.663135 | − | 0.748500i | \(-0.269226\pi\) |
0.979787 | − | 0.200041i | \(-0.0641077\pi\) | |||||||
\(608\) | 7.18333 | − | 1.38812i | 0.291323 | − | 0.0562956i | ||||
\(609\) | −0.611902 | + | 7.78369i | −0.0247955 | + | 0.315411i | ||||
\(610\) | −29.8178 | − | 25.5232i | −1.20729 | − | 1.03340i | ||||
\(611\) | 11.2392 | + | 16.8207i | 0.454691 | + | 0.680493i | ||||
\(612\) | −26.8349 | − | 20.6770i | −1.08474 | − | 0.835816i | ||||
\(613\) | 2.42529 | + | 12.1928i | 0.0979567 | + | 0.492461i | 0.998352 | + | 0.0573886i | \(0.0182774\pi\) |
−0.900395 | + | 0.435073i | \(0.856723\pi\) | |||||||
\(614\) | 3.75021 | − | 31.3916i | 0.151346 | − | 1.26686i | ||||
\(615\) | −33.7658 | − | 30.3975i | −1.36157 | − | 1.22575i | ||||
\(616\) | −29.1566 | + | 18.2632i | −1.17475 | + | 0.735843i | ||||
\(617\) | −2.44011 | − | 18.5345i | −0.0982350 | − | 0.746169i | −0.967687 | − | 0.252153i | \(-0.918862\pi\) |
0.869452 | − | 0.494017i | \(-0.164472\pi\) | |||||||
\(618\) | 13.5049 | + | 9.04334i | 0.543248 | + | 0.363776i | ||||
\(619\) | −5.46614 | + | 2.69560i | −0.219703 | + | 0.108345i | −0.548810 | − | 0.835947i | \(-0.684919\pi\) |
0.329107 | + | 0.944293i | \(0.393252\pi\) | |||||||
\(620\) | −11.5970 | − | 2.01882i | −0.465747 | − | 0.0810779i | ||||
\(621\) | 33.7501 | − | 3.11017i | 1.35434 | − | 0.124807i | ||||
\(622\) | 3.61437 | + | 17.0961i | 0.144923 | + | 0.685490i | ||||
\(623\) | 44.5439 | − | 11.9355i | 1.78461 | − | 0.478186i | ||||
\(624\) | 36.0335 | − | 25.9449i | 1.44250 | − | 1.03863i | ||||
\(625\) | 10.8641 | + | 2.91104i | 0.434566 | + | 0.116442i | ||||
\(626\) | −1.81190 | + | 33.8654i | −0.0724181 | + | 1.35353i | ||||
\(627\) | −1.58907 | − | 6.25467i | −0.0634613 | − | 0.249787i | ||||
\(628\) | −10.1043 | + | 32.2918i | −0.403205 | + | 1.28858i | ||||
\(629\) | 6.45664 | − | 9.66304i | 0.257443 | − | 0.385291i | ||||
\(630\) | −49.6989 | + | 37.0410i | −1.98005 | + | 1.47575i | ||||
\(631\) | −3.43268 | + | 8.28721i | −0.136653 | + | 0.329909i | −0.977361 | − | 0.211580i | \(-0.932139\pi\) |
0.840708 | + | 0.541489i | \(0.182139\pi\) | |||||||
\(632\) | 30.8446 | − | 16.6166i | 1.22693 | − | 0.660973i | ||||
\(633\) | 8.81004 | + | 27.1064i | 0.350168 | + | 1.07738i | ||||
\(634\) | −34.2414 | + | 4.92659i | −1.35990 | + | 0.195660i | ||||
\(635\) | −18.5211 | − | 21.1193i | −0.734989 | − | 0.838094i | ||||
\(636\) | 10.1367 | + | 4.86105i | 0.401945 | + | 0.192753i | ||||
\(637\) | −4.53873 | − | 69.2476i | −0.179831 | − | 2.74369i | ||||
\(638\) | 3.58723 | − | 2.45967i | 0.142020 | − | 0.0973793i | ||||
\(639\) | 17.2858 | + | 45.0075i | 0.683817 | + | 1.78047i | ||||
\(640\) | −11.8941 | + | 37.2961i | −0.470157 | + | 1.47426i | ||||
\(641\) | 9.38126 | − | 16.2488i | 0.370538 | − | 0.641790i | −0.619111 | − | 0.785304i | \(-0.712507\pi\) |
0.989648 | + | 0.143514i | \(0.0458401\pi\) | |||||||
\(642\) | −1.25983 | − | 0.729052i | −0.0497216 | − | 0.0287734i | ||||
\(643\) | −1.61631 | − | 0.797075i | −0.0637410 | − | 0.0314336i | 0.410139 | − | 0.912023i | \(-0.365480\pi\) |
−0.473880 | + | 0.880590i | \(0.657147\pi\) | |||||||
\(644\) | −8.49790 | − | 54.4228i | −0.334864 | − | 2.14456i | ||||
\(645\) | 2.44567 | − | 5.69383i | 0.0962982 | − | 0.224194i | ||||
\(646\) | −6.38462 | − | 8.11707i | −0.251199 | − | 0.319362i | ||||
\(647\) | 4.04937 | + | 9.77604i | 0.159197 | + | 0.384336i | 0.983272 | − | 0.182146i | \(-0.0583043\pi\) |
−0.824074 | + | 0.566481i | \(0.808304\pi\) | |||||||
\(648\) | −4.56572 | − | 25.0430i | −0.179359 | − | 0.983784i | ||||
\(649\) | −2.46115 | + | 5.94175i | −0.0966088 | + | 0.233234i | ||||
\(650\) | 17.0872 | + | 60.8411i | 0.670217 | + | 2.38638i | ||||
\(651\) | −4.61076 | − | 11.5540i | −0.180710 | − | 0.452837i | ||||
\(652\) | −13.9055 | − | 15.1090i | −0.544583 | − | 0.591714i | ||||
\(653\) | 12.1477 | + | 35.7859i | 0.475375 | + | 1.40041i | 0.875175 | + | 0.483807i | \(0.160746\pi\) |
−0.399799 | + | 0.916603i | \(0.630920\pi\) | |||||||
\(654\) | −2.75309 | + | 20.7507i | −0.107654 | + | 0.811418i | ||||
\(655\) | 11.0884 | + | 41.3826i | 0.433261 | + | 1.61695i | ||||
\(656\) | −12.9349 | − | 27.4262i | −0.505022 | − | 1.07081i | ||||
\(657\) | 2.08434 | − | 4.68371i | 0.0813178 | − | 0.182729i | ||||
\(658\) | −3.89873 | − | 18.4411i | −0.151988 | − | 0.718909i | ||||
\(659\) | 24.2990 | + | 21.3097i | 0.946557 | + | 0.830108i | 0.985594 | − | 0.169130i | \(-0.0540958\pi\) |
−0.0390372 | + | 0.999238i | \(0.512429\pi\) | |||||||
\(660\) | 33.4496 | + | 8.56981i | 1.30202 | + | 0.333579i | ||||
\(661\) | 2.08387 | − | 31.7937i | 0.0810530 | − | 1.23663i | −0.742678 | − | 0.669649i | \(-0.766445\pi\) |
0.823731 | − | 0.566981i | \(-0.191889\pi\) | |||||||
\(662\) | 37.1960 | − | 22.0743i | 1.44566 | − | 0.857942i | ||||
\(663\) | −55.8468 | − | 28.4492i | −2.16891 | − | 1.10487i | ||||
\(664\) | 0.397723 | − | 0.749972i | 0.0154346 | − | 0.0291046i | ||||
\(665\) | −17.4571 | + | 7.23095i | −0.676955 | + | 0.280404i | ||||
\(666\) | 8.46600 | − | 2.14183i | 0.328051 | − | 0.0829943i | ||||
\(667\) | 1.35855 | + | 6.82989i | 0.0526032 | + | 0.264454i | ||||
\(668\) | −31.6473 | − | 17.2727i | −1.22447 | − | 0.668302i | ||||
\(669\) | −8.20818 | + | 13.7995i | −0.317347 | + | 0.533518i | ||||
\(670\) | 2.37917 | − | 0.839585i | 0.0919153 | − | 0.0324360i | ||||
\(671\) | −20.0113 | + | 11.5535i | −0.772527 | + | 0.446019i | ||||
\(672\) | −40.1515 | + | 9.96782i | −1.54888 | + | 0.384517i | ||||
\(673\) | 10.5734 | + | 6.10455i | 0.407574 | + | 0.235313i | 0.689747 | − | 0.724051i | \(-0.257722\pi\) |
−0.282173 | + | 0.959364i | \(0.591055\pi\) | |||||||
\(674\) | −12.9148 | − | 2.40820i | −0.497458 | − | 0.0927605i | ||||
\(675\) | 35.7081 | + | 6.12609i | 1.37441 | + | 0.235793i | ||||
\(676\) | 38.7387 | − | 40.6438i | 1.48995 | − | 1.56322i | ||||
\(677\) | 39.4310 | + | 13.3850i | 1.51545 | + | 0.514428i | 0.950508 | − | 0.310700i | \(-0.100563\pi\) |
0.564947 | + | 0.825128i | \(0.308897\pi\) | |||||||
\(678\) | −11.4950 | − | 2.29850i | −0.441462 | − | 0.0882733i | ||||
\(679\) | −51.0504 | − | 39.1723i | −1.95913 | − | 1.50330i | ||||
\(680\) | 54.4896 | − | 9.17931i | 2.08958 | − | 0.352010i | ||||
\(681\) | 0.0996988 | + | 1.89917i | 0.00382047 | + | 0.0727765i | ||||
\(682\) | −3.39278 | + | 6.04275i | −0.129916 | + | 0.231389i | ||||
\(683\) | −8.87924 | − | 5.93292i | −0.339755 | − | 0.227017i | 0.373974 | − | 0.927439i | \(-0.377995\pi\) |
−0.713729 | + | 0.700422i | \(0.752995\pi\) | |||||||
\(684\) | 0.523083 | − | 7.74238i | 0.0200006 | − | 0.296037i | ||||
\(685\) | −1.76532 | + | 8.87488i | −0.0674495 | + | 0.339092i | ||||
\(686\) | −7.08744 | + | 21.7321i | −0.270600 | + | 0.829736i | ||||
\(687\) | −24.2409 | − | 28.3775i | −0.924850 | − | 1.08267i | ||||
\(688\) | 2.97520 | − | 2.87309i | 0.113428 | − | 0.109535i | ||||
\(689\) | 20.0900 | + | 5.38309i | 0.765366 | + | 0.205079i | ||||
\(690\) | −33.6985 | + | 43.8256i | −1.28288 | + | 1.66841i | ||||
\(691\) | −11.7727 | + | 13.4242i | −0.447856 | + | 0.510682i | −0.931080 | − | 0.364815i | \(-0.881132\pi\) |
0.483224 | + | 0.875497i | \(0.339466\pi\) | |||||||
\(692\) | −21.5370 | − | 13.6547i | −0.818714 | − | 0.519074i | ||||
\(693\) | 10.8273 | + | 34.8479i | 0.411294 | + | 1.32376i | ||||
\(694\) | 19.8181 | + | 19.3481i | 0.752284 | + | 0.734446i | ||||
\(695\) | −7.37219 | − | 9.60762i | −0.279643 | − | 0.364438i | ||||
\(696\) | 5.01951 | − | 1.46945i | 0.190264 | − | 0.0556994i | ||||
\(697\) | −26.0567 | + | 33.9577i | −0.986967 | + | 1.28624i | ||||
\(698\) | 0.612488 | + | 4.25700i | 0.0231830 | + | 0.161130i | ||||
\(699\) | −14.5271 | + | 33.8209i | −0.549465 | + | 1.27922i | ||||
\(700\) | 6.28252 | − | 58.5437i | 0.237457 | − | 2.21274i | ||||
\(701\) | −4.67176 | + | 3.12157i | −0.176450 | + | 0.117900i | −0.640659 | − | 0.767826i | \(-0.721339\pi\) |
0.464209 | + | 0.885726i | \(0.346339\pi\) | |||||||
\(702\) | −16.8411 | − | 43.9815i | −0.635627 | − | 1.65998i | ||||
\(703\) | 2.66211 | 0.100403 | ||||||||
\(704\) | 18.3753 | + | 13.9100i | 0.692545 | + | 0.524252i | ||||
\(705\) | −10.7137 | + | 15.5914i | −0.403500 | + | 0.587207i | ||||
\(706\) | −0.558480 | + | 1.16759i | −0.0210187 | + | 0.0439430i | ||||
\(707\) | 50.1704 | + | 24.7413i | 1.88685 | + | 0.930493i | ||||
\(708\) | −5.03482 | + | 5.87005i | −0.189220 | + | 0.220610i | ||||
\(709\) | −8.51173 | + | 25.0747i | −0.319665 | + | 0.941702i | 0.661737 | + | 0.749736i | \(0.269820\pi\) |
−0.981402 | + | 0.191966i | \(0.938514\pi\) | |||||||
\(710\) | −73.0104 | − | 29.2207i | −2.74003 | − | 1.09663i | ||||
\(711\) | −8.68140 | − | 36.1327i | −0.325578 | − | 1.35508i | ||||
\(712\) | −18.0755 | − | 25.0510i | −0.677408 | − | 0.938826i | ||||
\(713\) | −6.75436 | − | 8.80246i | −0.252953 | − | 0.329655i | ||||
\(714\) | 38.4589 | + | 43.9429i | 1.43929 | + | 1.64452i | ||||
\(715\) | 63.7468 | + | 4.17818i | 2.38399 | + | 0.156255i | ||||
\(716\) | 1.46632 | + | 0.0608200i | 0.0547988 | + | 0.00227295i | ||||
\(717\) | 40.1989 | + | 11.3334i | 1.50126 | + | 0.423255i | ||||
\(718\) | −14.3980 | − | 28.3342i | −0.537330 | − | 1.05742i | ||||
\(719\) | −17.1682 | + | 17.1682i | −0.640266 | + | 0.640266i | −0.950621 | − | 0.310355i | \(-0.899552\pi\) |
0.310355 | + | 0.950621i | \(0.399552\pi\) | |||||||
\(720\) | 35.0226 | + | 22.3035i | 1.30522 | + | 0.831202i | ||||
\(721\) | −19.8107 | − | 19.8107i | −0.737789 | − | 0.737789i | ||||
\(722\) | −7.59775 | + | 23.2969i | −0.282759 | + | 0.867019i | ||||
\(723\) | −13.9670 | + | 3.54847i | −0.519438 | + | 0.131969i | ||||
\(724\) | 6.54221 | − | 14.1100i | 0.243139 | − | 0.524394i | ||||
\(725\) | −0.486848 | + | 7.42786i | −0.0180811 | + | 0.275864i | ||||
\(726\) | −3.68114 | + | 5.49726i | −0.136620 | + | 0.204022i | ||||
\(727\) | −40.5963 | + | 31.1506i | −1.50563 | + | 1.15531i | −0.560712 | + | 0.828011i | \(0.689473\pi\) |
−0.944920 | + | 0.327302i | \(0.893861\pi\) | |||||||
\(728\) | −69.6127 | + | 31.8158i | −2.58002 | + | 1.17917i | ||||
\(729\) | −26.9179 | − | 2.10421i | −0.996959 | − | 0.0779336i | ||||
\(730\) | 3.29246 | + | 7.68655i | 0.121859 | + | 0.284492i | ||||
\(731\) | −5.52830 | − | 1.87660i | −0.204471 | − | 0.0694087i | ||||
\(732\) | −27.1905 | + | 5.71997i | −1.00499 | + | 0.211416i | ||||
\(733\) | 13.6562 | − | 27.6919i | 0.504401 | − | 1.02283i | −0.484575 | − | 0.874750i | \(-0.661026\pi\) |
0.988976 | − | 0.148075i | \(-0.0473077\pi\) | |||||||
\(734\) | 11.4956 | + | 32.5755i | 0.424309 | + | 1.20238i | ||||
\(735\) | 58.5698 | − | 27.9427i | 2.16038 | − | 1.03068i | ||||
\(736\) | −32.0550 | + | 18.2743i | −1.18156 | + | 0.673599i | ||||
\(737\) | − | 1.48532i | − | 0.0547124i | ||||||
\(738\) | −31.6296 | + | 5.83222i | −1.16430 | + | 0.214687i | ||||
\(739\) | 5.46302 | + | 8.17599i | 0.200960 | + | 0.300759i | 0.918238 | − | 0.396029i | \(-0.129612\pi\) |
−0.717278 | + | 0.696788i | \(0.754612\pi\) | |||||||
\(740\) | −6.82402 | + | 12.5031i | −0.250856 | + | 0.459622i | ||||
\(741\) | −1.68871 | − | 14.2571i | −0.0620362 | − | 0.523747i | ||||
\(742\) | −15.5144 | − | 11.6116i | −0.569551 | − | 0.426274i | ||||
\(743\) | −31.4396 | − | 24.1245i | −1.15341 | − | 0.885042i | −0.158654 | − | 0.987334i | \(-0.550716\pi\) |
−0.994754 | + | 0.102293i | \(0.967382\pi\) | |||||||
\(744\) | −6.13729 | + | 5.63706i | −0.225004 | + | 0.206665i | ||||
\(745\) | 25.5147 | − | 19.5781i | 0.934786 | − | 0.717287i | ||||
\(746\) | −0.512726 | − | 42.7331i | −0.0187722 | − | 1.56457i | ||||
\(747\) | −0.661292 | − | 0.611077i | −0.0241954 | − | 0.0223581i | ||||
\(748\) | 5.57914 | − | 32.0491i | 0.203993 | − | 1.17183i | ||||
\(749\) | 1.88641 | + | 1.65434i | 0.0689279 | + | 0.0604481i | ||||
\(750\) | −13.2730 | + | 10.1636i | −0.484661 | + | 0.371121i | ||||
\(751\) | 7.59212 | − | 28.3342i | 0.277040 | − | 1.03393i | −0.677421 | − | 0.735595i | \(-0.736903\pi\) |
0.954462 | − | 0.298334i | \(-0.0964308\pi\) | |||||||
\(752\) | −10.6192 | + | 6.83042i | −0.387242 | + | 0.249080i | ||||
\(753\) | −5.05806 | − | 27.2774i | −0.184326 | − | 0.994045i | ||||
\(754\) | 8.62644 | − | 4.38353i | 0.314156 | − | 0.159639i | ||||
\(755\) | 30.2518 | + | 6.01745i | 1.10098 | + | 0.218998i | ||||
\(756\) | −0.658647 | + | 43.8748i | −0.0239548 | + | 1.59571i | ||||
\(757\) | 27.2947 | − | 40.8494i | 0.992042 | − | 1.48470i | 0.121505 | − | 0.992591i | \(-0.461228\pi\) |
0.870536 | − | 0.492104i | \(-0.163772\pi\) | |||||||
\(758\) | 2.21218 | + | 7.87673i | 0.0803502 | + | 0.286096i | ||||
\(759\) | 17.7285 | + | 27.2942i | 0.643503 | + | 0.990718i | ||||
\(760\) | 8.68272 | + | 9.20993i | 0.314955 | + | 0.334079i | ||||
\(761\) | 3.83182 | − | 4.99372i | 0.138903 | − | 0.181022i | −0.718722 | − | 0.695298i | \(-0.755272\pi\) |
0.857625 | + | 0.514276i | \(0.171939\pi\) | |||||||
\(762\) | −19.8443 | + | 1.28065i | −0.718884 | + | 0.0463931i | ||||
\(763\) | 11.5984 | − | 34.1678i | 0.419891 | − | 1.23696i | ||||
\(764\) | 1.22244 | − | 3.16389i | 0.0442263 | − | 0.114465i | ||||
\(765\) | 5.35258 | − | 58.3643i | 0.193523 | − | 2.11017i | ||||
\(766\) | −3.75314 | + | 2.57343i | −0.135606 | + | 0.0929817i | ||||
\(767\) | −7.15383 | + | 12.3908i | −0.258310 | + | 0.447406i | ||||
\(768\) | 15.7980 | + | 22.7689i | 0.570060 | + | 0.821603i | ||||
\(769\) | −22.0303 | − | 38.1576i | −0.794433 | − | 1.37600i | −0.923199 | − | 0.384323i | \(-0.874435\pi\) |
0.128766 | − | 0.991675i | \(-0.458898\pi\) | |||||||
\(770\) | −53.6951 | − | 25.6833i | −1.93504 | − | 0.925561i | ||||
\(771\) | 5.41758 | − | 3.03462i | 0.195110 | − | 0.109289i | ||||
\(772\) | 28.7969 | + | 35.7205i | 1.03642 | + | 1.28561i | ||||
\(773\) | 44.7181 | − | 8.89498i | 1.60840 | − | 0.319930i | 0.692523 | − | 0.721396i | \(-0.256499\pi\) |
0.915874 | + | 0.401466i | \(0.131499\pi\) | |||||||
\(774\) | −2.14002 | − | 3.82950i | −0.0769213 | − | 0.137649i | ||||
\(775\) | −4.53870 | − | 10.9574i | −0.163035 | − | 0.393601i | ||||
\(776\) | −12.3778 | + | 41.2893i | −0.444335 | + | 1.48220i | ||||
\(777\) | −15.0324 | + | 0.789141i | −0.539285 | + | 0.0283103i | ||||
\(778\) | 9.79577 | + | 2.49920i | 0.351195 | + | 0.0896007i | ||||
\(779\) | −9.78361 | − | 0.641252i | −0.350534 | − | 0.0229752i | ||||
\(780\) | 71.2899 | + | 28.6152i | 2.55259 | + | 1.02459i | ||||
\(781\) | −30.5259 | + | 34.8081i | −1.09230 | + | 1.24553i | ||||
\(782\) | 43.6497 | + | 28.4143i | 1.56091 | + | 1.01609i | ||||
\(783\) | −0.146677 | − | 5.54550i | −0.00524179 | − | 0.198180i | ||||
\(784\) | 43.2625 | − | 2.07781i | 1.54509 | − | 0.0742074i | ||||
\(785\) | −56.5433 | + | 15.1507i | −2.01812 | + | 0.540753i | ||||
\(786\) | 28.0087 | + | 11.6345i | 0.999037 | + | 0.414991i | ||||
\(787\) | 3.43011 | − | 1.16437i | 0.122270 | − | 0.0415052i | −0.259634 | − | 0.965707i | \(-0.583602\pi\) |
0.381904 | + | 0.924202i | \(0.375268\pi\) | |||||||
\(788\) | 13.9873 | − | 5.12551i | 0.498278 | − | 0.182589i | ||||
\(789\) | −6.55257 | + | 45.2203i | −0.233278 | + | 1.60989i | ||||
\(790\) | 52.8529 | + | 29.6749i | 1.88042 | + | 1.05579i | ||||
\(791\) | 18.6687 | + | 7.73281i | 0.663781 | + | 0.274947i | ||||
\(792\) | 19.2435 | − | 15.0738i | 0.683788 | − | 0.535625i | ||||
\(793\) | −47.4929 | + | 19.6722i | −1.68652 | + | 0.698581i | ||||
\(794\) | 2.57067 | − | 21.5181i | 0.0912296 | − | 0.763648i | ||||
\(795\) | 2.28771 | + | 19.3143i | 0.0811368 | + | 0.685006i | ||||
\(796\) | −15.4400 | − | 25.3197i | −0.547256 | − | 0.897435i | ||||
\(797\) | 18.1152 | − | 36.7340i | 0.641674 | − | 1.30119i | −0.296503 | − | 0.955032i | \(-0.595821\pi\) |
0.938178 | − | 0.346155i | \(-0.112513\pi\) | |||||||
\(798\) | −3.47505 | + | 12.9171i | −0.123015 | + | 0.457262i | ||||
\(799\) | 15.4347 | + | 8.91124i | 0.546041 | + | 0.315257i | ||||
\(800\) | −38.1532 | + | 10.0001i | −1.34892 | + | 0.353558i | ||||
\(801\) | −30.5869 | + | 11.7474i | −1.08074 | + | 0.415074i | ||||
\(802\) | 49.1897 | + | 9.17235i | 1.73695 | + | 0.323887i | ||||
\(803\) | 4.91234 | − | 0.321972i | 0.173353 | − | 0.0113621i | ||||
\(804\) | 0.555483 | − | 1.69748i | 0.0195904 | − | 0.0598656i | ||||
\(805\) | 71.6470 | − | 62.8327i | 2.52523 | − | 2.21456i | ||||
\(806\) | −9.23800 | + | 12.3430i | −0.325395 | + | 0.434765i | ||||
\(807\) | 5.71309 | − | 26.8896i | 0.201110 | − | 0.946559i | ||||
\(808\) | 3.55102 | − | 37.3036i | 0.124924 | − | 1.31234i | ||||
\(809\) | −19.9035 | − | 8.24428i | −0.699768 | − | 0.289854i | 0.00429486 | − | 0.999991i | \(-0.498633\pi\) |
−0.704063 | + | 0.710137i | \(0.748633\pi\) | |||||||
\(810\) | 32.3618 | − | 29.8705i | 1.13708 | − | 1.04954i | ||||
\(811\) | −9.35271 | − | 6.24928i | −0.328418 | − | 0.219442i | 0.380419 | − | 0.924814i | \(-0.375780\pi\) |
−0.708837 | + | 0.705372i | \(0.750780\pi\) | |||||||
\(812\) | −8.97953 | + | 0.805326i | −0.315120 | + | 0.0282614i | ||||
\(813\) | 17.7332 | + | 18.2004i | 0.621930 | + | 0.638317i | ||||
\(814\) | 5.60437 | + | 6.23797i | 0.196433 | + | 0.218641i | ||||
\(815\) | 9.19457 | − | 34.3146i | 0.322072 | − | 1.20199i | ||||
\(816\) | 18.3618 | − | 34.5405i | 0.642793 | − | 1.20916i | ||||
\(817\) | −0.346121 | − | 1.29174i | −0.0121092 | − | 0.0451923i | ||||
\(818\) | 10.4271 | − | 16.0180i | 0.364574 | − | 0.560055i | ||||
\(819\) | 13.7621 | + | 80.0066i | 0.480887 | + | 2.79566i | ||||
\(820\) | 28.0910 | − | 44.3067i | 0.980979 | − | 1.54726i | ||||
\(821\) | −10.8248 | − | 21.9504i | −0.377787 | − | 0.766076i | 0.622071 | − | 0.782961i | \(-0.286292\pi\) |
−0.999857 | + | 0.0168852i | \(0.994625\pi\) | |||||||
\(822\) | 4.21879 | + | 4.82037i | 0.147147 | + | 0.168130i | ||||
\(823\) | 19.8570 | − | 2.61422i | 0.692171 | − | 0.0911260i | 0.223770 | − | 0.974642i | \(-0.428164\pi\) |
0.468401 | + | 0.883516i | \(0.344830\pi\) | |||||||
\(824\) | −7.68958 | + | 17.1199i | −0.267879 | + | 0.596400i | ||||
\(825\) | 10.7537 | + | 33.0867i | 0.374396 | + | 1.15193i | ||||
\(826\) | 10.4778 | − | 8.24151i | 0.364570 | − | 0.286759i | ||||
\(827\) | −4.14235 | + | 0.823964i | −0.144043 | + | 0.0286520i | −0.266585 | − | 0.963811i | \(-0.585895\pi\) |
0.122542 | + | 0.992463i | \(0.460895\pi\) | |||||||
\(828\) | 10.0533 | + | 37.8231i | 0.349376 | + | 1.31444i | ||||
\(829\) | −38.7152 | + | 25.8687i | −1.34464 | + | 0.898457i | −0.999200 | − | 0.0399855i | \(-0.987269\pi\) |
−0.345436 | + | 0.938442i | \(0.612269\pi\) | |||||||
\(830\) | 1.46426 | − | 0.113630i | 0.0508251 | − | 0.00394417i | ||||
\(831\) | 6.32070 | + | 13.2486i | 0.219263 | + | 0.459590i | ||||
\(832\) | 36.4904 | + | 36.0165i | 1.26508 | + | 1.24865i | ||||
\(833\) | −30.5686 | − | 52.9464i | −1.05914 | − | 1.83448i | ||||
\(834\) | −8.57301 | − | 0.00861037i | −0.296859 | − | 0.000298153i | ||||
\(835\) | −4.07958 | − | 62.2423i | −0.141180 | − | 2.15398i | ||||
\(836\) | 6.81408 | − | 3.01601i | 0.235670 | − | 0.104311i | ||||
\(837\) | 4.11750 | + | 7.82108i | 0.142322 | + | 0.270336i | ||||
\(838\) | 29.8725 | + | 11.9558i | 1.03193 | + | 0.413005i | ||||
\(839\) | −44.5215 | − | 5.86137i | −1.53705 | − | 0.202357i | −0.686065 | − | 0.727540i | \(-0.740663\pi\) |
−0.850989 | + | 0.525183i | \(0.823997\pi\) | |||||||
\(840\) | −51.7598 | − | 49.4329i | −1.78588 | − | 1.70560i | ||||
\(841\) | −27.6219 | + | 3.63649i | −0.952478 | + | 0.125396i | ||||
\(842\) | 3.10648 | − | 12.1760i | 0.107056 | − | 0.419614i | ||||
\(843\) | 1.50182 | + | 0.217619i | 0.0517254 | + | 0.00749519i | ||||
\(844\) | −29.1597 | + | 15.2604i | −1.00372 | + | 0.525285i | ||||
\(845\) | 95.2730 | + | 18.9510i | 3.27749 | + | 0.651934i | ||||
\(846\) | 4.12673 | + | 12.7405i | 0.141880 | + | 0.438027i | ||||
\(847\) | 8.06405 | − | 8.06405i | 0.277084 | − | 0.277084i | ||||
\(848\) | −3.57815 | + | 12.4782i | −0.122874 | + | 0.428504i | ||||
\(849\) | −11.7071 | − | 13.7048i | −0.401786 | − | 0.470347i | ||||
\(850\) | 37.2080 | + | 41.4145i | 1.27622 | + | 1.42051i | ||||
\(851\) | −12.7134 | + | 4.31561i | −0.435809 | + | 0.147937i | ||||
\(852\) | −47.9039 | + | 28.3640i | −1.64116 | + | 0.971735i | ||||
\(853\) | 39.4562 | − | 19.4577i | 1.35096 | − | 0.666218i | 0.384518 | − | 0.923118i | \(-0.374368\pi\) |
0.966438 | + | 0.256900i | \(0.0827011\pi\) | |||||||
\(854\) | 47.8924 | − | 0.574628i | 1.63884 | − | 0.0196634i | ||||
\(855\) | 11.7973 | − | 6.40808i | 0.403458 | − | 0.219152i | ||||
\(856\) | 0.586900 | − | 1.57495i | 0.0200598 | − | 0.0538307i | ||||
\(857\) | −4.40317 | + | 33.4454i | −0.150409 | + | 1.14247i | 0.735136 | + | 0.677920i | \(0.237118\pi\) |
−0.885545 | + | 0.464553i | \(0.846215\pi\) | |||||||
\(858\) | 29.8527 | − | 33.9716i | 1.01915 | − | 1.15977i | ||||
\(859\) | −1.21743 | + | 1.06766i | −0.0415381 | + | 0.0364280i | −0.679863 | − | 0.733339i | \(-0.737961\pi\) |
0.638325 | + | 0.769767i | \(0.279628\pi\) | |||||||
\(860\) | 6.95414 | + | 1.68562i | 0.237134 | + | 0.0574791i | ||||
\(861\) | 55.4363 | + | 0.720830i | 1.88926 | + | 0.0245658i | ||||
\(862\) | −29.4441 | + | 34.3984i | −1.00287 | + | 1.17161i | ||||
\(863\) | − | 20.7928i | − | 0.707796i | −0.935284 | − | 0.353898i | \(-0.884856\pi\) | ||
0.935284 | − | 0.353898i | \(-0.115144\pi\) | |||||||
\(864\) | 27.6296 | − | 10.0303i | 0.939978 | − | 0.341236i | ||||
\(865\) | − | 44.1180i | − | 1.50006i | ||||||
\(866\) | 30.4320 | + | 26.0489i | 1.03412 | + | 0.885179i | ||||
\(867\) | −25.7693 | − | 0.335075i | −0.875173 | − | 0.0113797i | ||||
\(868\) | 12.2641 | − | 7.47866i | 0.416271 | − | 0.253842i | ||||
\(869\) | 26.8290 | − | 23.5284i | 0.910113 | − | 0.798148i | ||||
\(870\) | 6.79704 | + | 5.97293i | 0.230441 | + | 0.202501i | ||||
\(871\) | 0.431307 | − | 3.27610i | 0.0146143 | − | 0.111006i | ||||
\(872\) | −24.1552 | + | 0.869800i | −0.817999 | + | 0.0294552i | ||||
\(873\) | 38.9864 | + | 23.8815i | 1.31949 | + | 0.808266i | ||||
\(874\) | 0.143135 | + | 11.9296i | 0.00484161 | + | 0.403524i | ||||
\(875\) | 25.8449 | − | 12.7453i | 0.873719 | − | 0.430870i | ||||
\(876\) | 5.73444 | + | 1.46917i | 0.193749 | + | 0.0496385i | ||||
\(877\) | 23.0308 | − | 7.81791i | 0.777696 | − | 0.263992i | 0.0957602 | − | 0.995404i | \(-0.469472\pi\) |
0.681936 | + | 0.731412i | \(0.261138\pi\) | |||||||
\(878\) | −32.1936 | + | 28.9236i | −1.08648 | + | 0.976126i | ||||
\(879\) | −20.8132 | − | 24.3648i | −0.702013 | − | 0.821805i | ||||
\(880\) | −3.30193 | + | 39.7348i | −0.111308 | + | 1.33946i | ||||
\(881\) | −22.0424 | + | 22.0424i | −0.742626 | + | 0.742626i | −0.973083 | − | 0.230457i | \(-0.925978\pi\) |
0.230457 | + | 0.973083i | \(0.425978\pi\) | |||||||
\(882\) | 9.59258 | − | 44.9270i | 0.322999 | − | 1.51277i | ||||
\(883\) | −17.1865 | − | 3.41861i | −0.578373 | − | 0.115046i | −0.102769 | − | 0.994705i | \(-0.532770\pi\) |
−0.475604 | + | 0.879660i | \(0.657770\pi\) | |||||||
\(884\) | 21.6121 | − | 69.0691i | 0.726893 | − | 2.32305i | ||||
\(885\) | −13.2411 | − | 1.91868i | −0.445095 | − | 0.0644958i | ||||
\(886\) | −26.7968 | − | 6.83669i | −0.900257 | − | 0.229683i | ||||
\(887\) | 1.53919 | − | 0.202639i | 0.0516811 | − | 0.00680394i | −0.104641 | − | 0.994510i | \(-0.533369\pi\) |
0.156322 | + | 0.987706i | \(0.450036\pi\) | |||||||
\(888\) | 4.07201 | + | 9.22494i | 0.136648 | + | 0.309569i | ||||
\(889\) | 33.9848 | + | 4.47418i | 1.13981 | + | 0.150059i | ||||
\(890\) | 19.8582 | − | 49.6176i | 0.665650 | − | 1.66318i | ||||
\(891\) | −10.2430 | − | 23.8181i | −0.343153 | − | 0.797938i | ||||
\(892\) | −17.2941 | − | 6.68195i | −0.579048 | − | 0.223728i | ||||
\(893\) | 0.267008 | + | 4.07376i | 0.00893509 | + | 0.136323i | ||||
\(894\) | 0.0228663 | − | 22.7671i | 0.000764765 | − | 0.761446i | ||||
\(895\) | 1.26950 | + | 2.19883i | 0.0424346 | + | 0.0734989i | ||||
\(896\) | −19.0957 | − | 43.7876i | −0.637942 | − | 1.46284i | ||||
\(897\) | 31.1773 | + | 65.3497i | 1.04098 | + | 2.18196i | ||||
\(898\) | −0.402985 | − | 5.19292i | −0.0134478 | − | 0.173290i | ||||
\(899\) | −1.50996 | + | 1.00892i | −0.0503599 | + | 0.0336494i | ||||
\(900\) | −0.0840337 | + | 41.8345i | −0.00280112 | + | 1.39448i | ||||
\(901\) | 17.9713 | − | 3.57471i | 0.598710 | − | 0.119091i | ||||
\(902\) | −19.0942 | − | 24.2754i | −0.635767 | − | 0.808281i | ||||
\(903\) | 2.33740 | + | 7.19162i | 0.0777837 | + | 0.239322i | ||||
\(904\) | 0.398667 | − | 13.5301i | 0.0132595 | − | 0.450006i | ||||
\(905\) | 26.6772 | − | 3.51213i | 0.886781 | − | 0.116747i | ||||
\(906\) | 16.4312 | − | 14.3806i | 0.545890 | − | 0.477763i | ||||
\(907\) | −0.212703 | − | 0.431320i | −0.00706270 | − | 0.0143217i | 0.893313 | − | 0.449435i | \(-0.148375\pi\) |
−0.900376 | + | 0.435114i | \(0.856708\pi\) | |||||||
\(908\) | −2.14290 | + | 0.479971i | −0.0711147 | + | 0.0159284i | ||||
\(909\) | −37.2911 | − | 13.7500i | −1.23687 | − | 0.456058i | ||||
\(910\) | −110.975 | − | 72.2405i | −3.67879 | − | 2.39475i | ||||
\(911\) | −0.576144 | − | 2.15020i | −0.0190885 | − | 0.0712393i | 0.955725 | − | 0.294263i | \(-0.0950740\pi\) |
−0.974813 | + | 0.223023i | \(0.928407\pi\) | |||||||
\(912\) | 8.91535 | − | 0.898470i | 0.295217 | − | 0.0297513i | ||||
\(913\) | 0.223782 | − | 0.835166i | 0.00740611 | − | 0.0276400i | ||||
\(914\) | 29.5901 | − | 26.5846i | 0.978755 | − | 0.879341i | ||||
\(915\) | −33.5464 | − | 34.4303i | −1.10901 | − | 1.13823i | ||||
\(916\) | 27.6291 | − | 33.0732i | 0.912892 | − | 1.09277i | ||||
\(917\) | −43.4692 | − | 29.0452i | −1.43548 | − | 0.959156i | ||||
\(918\) | −30.4442 | − | 28.1891i | −1.00481 | − | 0.930380i | ||||
\(919\) | 4.46263 | + | 1.84848i | 0.147209 | + | 0.0609758i | 0.455071 | − | 0.890455i | \(-0.349614\pi\) |
−0.307863 | + | 0.951431i | \(0.599614\pi\) | |||||||
\(920\) | −56.3963 | − | 29.9079i | −1.85933 | − | 0.986034i | ||||
\(921\) | 8.04702 | − | 37.8746i | 0.265158 | − | 1.24801i | ||||
\(922\) | −13.6937 | − | 10.2489i | −0.450978 | − | 0.337529i | ||||
\(923\) | −77.4373 | + | 67.9107i | −2.54888 | + | 2.23531i | ||||
\(924\) | −37.5838 | + | 19.0508i | −1.23642 | + | 0.626724i | ||||
\(925\) | −14.3208 | + | 0.938634i | −0.470865 | + | 0.0308621i | ||||
\(926\) | 4.95628 | − | 26.5797i | 0.162874 | − | 0.873462i | ||||
\(927\) | 15.4720 | + | 12.5245i | 0.508169 | + | 0.411359i | ||||
\(928\) | 2.64149 | + | 5.43098i | 0.0867111 | + | 0.178281i | ||||
\(929\) | −36.0261 | − | 20.7997i | −1.18198 | − | 0.682415i | −0.225506 | − | 0.974242i | \(-0.572404\pi\) |
−0.956471 | + | 0.291826i | \(0.905737\pi\) | |||||||
\(930\) | −13.9220 | − | 3.74538i | −0.456520 | − | 0.122816i | ||||
\(931\) | 6.19398 | − | 12.5601i | 0.202999 | − | 0.411642i | ||||
\(932\) | −41.3070 | − | 10.0124i | −1.35306 | − | 0.327968i | ||||
\(933\) | 2.51730 | + | 21.2526i | 0.0824127 | + | 0.695778i | ||||
\(934\) | 20.4940 | + | 2.44832i | 0.670583 | + | 0.0801115i | ||||
\(935\) | 51.9965 | − | 21.5377i | 1.70047 | − | 0.704357i | ||||
\(936\) | 46.8217 | − | 27.6597i | 1.53041 | − | 0.904087i | ||||
\(937\) | 41.1028 | + | 17.0253i | 1.34277 | + | 0.556194i | 0.934271 | − | 0.356565i | \(-0.116052\pi\) |
0.408500 | + | 0.912758i | \(0.366052\pi\) | |||||||
\(938\) | −1.50727 | + | 2.68454i | −0.0492141 | + | 0.0876534i | ||||
\(939\) | −5.95646 | + | 41.1064i | −0.194382 | + | 1.34146i | ||||
\(940\) | −19.8176 | − | 9.18858i | −0.646379 | − | 0.299699i | ||||
\(941\) | 5.36390 | − | 1.82080i | 0.174858 | − | 0.0593564i | −0.232637 | − | 0.972564i | \(-0.574736\pi\) |
0.407496 | + | 0.913207i | \(0.366402\pi\) | |||||||
\(942\) | −15.8969 | + | 38.2698i | −0.517950 | + | 1.24690i | ||||
\(943\) | 47.7629 | − | 12.7980i | 1.55538 | − | 0.416762i | ||||
\(944\) | −7.65436 | − | 4.59926i | −0.249128 | − | 0.149693i | ||||
\(945\) | −64.7174 | + | 39.6823i | −2.10526 | + | 1.29087i | ||||
\(946\) | 2.29820 | − | 3.53047i | 0.0747209 | − | 0.114785i | ||||
\(947\) | 29.1078 | − | 33.1911i | 0.945876 | − | 1.07856i | −0.0509300 | − | 0.998702i | \(-0.516219\pi\) |
0.996806 | − | 0.0798625i | \(-0.0254481\pi\) | |||||||
\(948\) | 39.4606 | − | 16.8557i | 1.28162 | − | 0.547447i | ||||
\(949\) | 10.9284 | + | 0.716287i | 0.354752 | + | 0.0232517i | ||||
\(950\) | −3.15268 | + | 12.3571i | −0.102286 | + | 0.400918i | ||||
\(951\) | −42.3106 | + | 2.22113i | −1.37202 | + | 0.0720251i | ||||
\(952\) | −42.6064 | + | 52.2634i | −1.38088 | + | 1.69387i | ||||
\(953\) | −1.36700 | − | 3.30023i | −0.0442815 | − | 0.106905i | 0.900191 | − | 0.435495i | \(-0.143427\pi\) |
−0.944473 | + | 0.328590i | \(0.893427\pi\) | |||||||
\(954\) | 11.8263 | + | 7.05060i | 0.382891 | + | 0.228272i | ||||
\(955\) | 5.75533 | − | 1.14481i | 0.186238 | − | 0.0370450i | ||||
\(956\) | −5.14588 | + | 47.9519i | −0.166430 | + | 1.55087i | ||||
\(957\) | 4.64759 | − | 2.60331i | 0.150235 | − | 0.0841531i | ||||
\(958\) | 15.3053 | − | 31.9983i | 0.494493 | − | 1.03382i | ||||
\(959\) | −5.52102 | − | 9.56270i | −0.178283 | − | 0.308796i | ||||
\(960\) | −18.6337 | + | 44.1757i | −0.601400 | + | 1.42576i | ||||
\(961\) | −14.0533 | + | 24.3410i | −0.453331 | + | 0.785193i | ||||
\(962\) | 10.5499 | + | 15.3862i | 0.340143 | + | 0.496071i | ||||
\(963\) | −1.45601 | − | 1.02862i | −0.0469193 | − | 0.0331469i | ||||
\(964\) | −6.73489 | − | 15.2162i | −0.216916 | − | 0.490080i | ||||
\(965\) | −25.5158 | + | 75.1670i | −0.821381 | + | 2.41971i | ||||
\(966\) | −4.34459 | − | 67.3217i | −0.139785 | − | 2.16604i | ||||
\(967\) | 6.66083 | − | 8.68057i | 0.214198 | − | 0.279148i | −0.673880 | − | 0.738841i | \(-0.735374\pi\) |
0.888078 | + | 0.459692i | \(0.152040\pi\) | |||||||
\(968\) | −6.96875 | − | 3.13009i | −0.223984 | − | 0.100605i | ||||
\(969\) | −6.88960 | − | 10.6070i | −0.221326 | − | 0.340746i | ||||
\(970\) | −71.7959 | + | 20.1639i | −2.30523 | + | 0.647424i | ||||
\(971\) | 1.37065 | − | 2.05132i | 0.0439862 | − | 0.0658300i | −0.808825 | − | 0.588050i | \(-0.799896\pi\) |
0.852811 | + | 0.522220i | \(0.174896\pi\) | |||||||
\(972\) | −2.79855 | − | 31.0511i | −0.0897637 | − | 0.995963i | ||||
\(973\) | 14.4939 | + | 2.88301i | 0.464652 | + | 0.0924251i | ||||
\(974\) | 18.1192 | + | 35.6571i | 0.580575 | + | 1.14253i | ||||
\(975\) | 14.1113 | + | 76.1005i | 0.451923 | + | 2.43717i | ||||
\(976\) | −11.7587 | − | 29.8517i | −0.376387 | − | 0.955529i | ||||
\(977\) | −2.28913 | + | 8.54314i | −0.0732357 | + | 0.273319i | −0.992827 | − | 0.119556i | \(-0.961853\pi\) |
0.919592 | + | 0.392875i | \(0.128520\pi\) | |||||||
\(978\) | −15.2897 | − | 19.9674i | −0.488909 | − | 0.638486i | ||||
\(979\) | −23.6555 | − | 20.7453i | −0.756032 | − | 0.663023i | ||||
\(980\) | 43.1134 | + | 61.2877i | 1.37721 | + | 1.95776i | ||||
\(981\) | −5.65364 | + | 25.0059i | −0.180507 | + | 0.798377i | ||||
\(982\) | 1.61325 | − | 0.0193563i | 0.0514810 | − | 0.000617686i | ||||
\(983\) | 30.2789 | − | 23.2338i | 0.965746 | − | 0.741043i | −0.000142902 | − | 1.00000i | \(-0.500045\pi\) |
0.965889 | + | 0.258957i | \(0.0833788\pi\) | |||||||
\(984\) | −12.7431 | − | 34.8838i | −0.406234 | − | 1.11205i | ||||
\(985\) | 20.4467 | + | 15.6893i | 0.651485 | + | 0.499902i | ||||
\(986\) | 5.10800 | − | 6.82487i | 0.162672 | − | 0.217348i | ||||
\(987\) | −2.71535 | − | 22.9246i | −0.0864305 | − | 0.729698i | ||||
\(988\) | 15.9053 | − | 4.67360i | 0.506016 | − | 0.148687i | ||||
\(989\) | 3.74704 | + | 5.60784i | 0.119149 | + | 0.178319i | ||||
\(990\) | 39.8517 | + | 14.1534i | 1.26657 | + | 0.449823i | ||||
\(991\) | 46.4664i | 1.47605i | 0.674771 | + | 0.738027i | \(0.264242\pi\) | ||||
−0.674771 | + | 0.738027i | \(0.735758\pi\) | |||||||
\(992\) | −7.60185 | − | 5.89934i | −0.241359 | − | 0.187304i | ||||
\(993\) | 47.8114 | − | 22.8100i | 1.51725 | − | 0.723854i | ||||
\(994\) | 90.4946 | − | 31.9346i | 2.87032 | − | 1.01291i | ||||
\(995\) | 22.6924 | − | 46.0156i | 0.719398 | − | 1.45879i | ||||
\(996\) | 0.568085 | − | 0.870771i | 0.0180004 | − | 0.0275914i | ||||
\(997\) | 26.0229 | + | 8.83359i | 0.824154 | + | 0.279763i | 0.701484 | − | 0.712685i | \(-0.252521\pi\) |
0.122670 | + | 0.992448i | \(0.460854\pi\) | |||||||
\(998\) | 37.3893 | − | 16.0154i | 1.18354 | − | 0.506957i | ||||
\(999\) | 10.5632 | − | 1.67591i | 0.334206 | − | 0.0530234i |
(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 | 576.2.bm.a.205.50 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.13.14 | ✓ | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.133.14 | yes | 1504 | |
576.517 | even | 48 | inner | 576.2.bm.a.517.50 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.14 | ✓ | 1504 | 9.4 | even | 3 | inner | |
576.2.bm.a.133.14 | yes | 1504 | 64.5 | even | 16 | inner | |
576.2.bm.a.205.50 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.517.50 | yes | 1504 | 576.517 | even | 48 | inner |