Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,3,Mod(11,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 8]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.j (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.08720396540\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Character | \(\chi\) | \(=\) | 150.11 |
Dual form | 150.3.j.a.41.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.831254 | − | 1.14412i | −0.415627 | − | 0.572061i | ||||
\(3\) | −2.89929 | + | 0.770808i | −0.966428 | + | 0.256936i | ||||
\(4\) | −0.618034 | + | 1.90211i | −0.154508 | + | 0.475528i | ||||
\(5\) | 4.91294 | − | 0.928983i | 0.982588 | − | 0.185797i | ||||
\(6\) | 3.29194 | + | 2.67640i | 0.548657 | + | 0.446067i | ||||
\(7\) | −5.64982 | −0.807118 | −0.403559 | − | 0.914954i | \(-0.632227\pi\) | ||||
−0.403559 | + | 0.914954i | \(0.632227\pi\) | |||||||
\(8\) | 2.68999 | − | 0.874032i | 0.336249 | − | 0.109254i | ||||
\(9\) | 7.81171 | − | 4.46959i | 0.867968 | − | 0.496621i | ||||
\(10\) | −5.14677 | − | 4.84879i | −0.514677 | − | 0.484879i | ||||
\(11\) | −9.35064 | − | 12.8700i | −0.850058 | − | 1.17000i | −0.983850 | − | 0.178995i | \(-0.942715\pi\) |
0.133792 | − | 0.991009i | \(-0.457285\pi\) | |||||||
\(12\) | 0.325692 | − | 5.99115i | 0.0271410 | − | 0.499263i | ||||
\(13\) | −1.90792 | − | 1.38619i | −0.146763 | − | 0.106630i | 0.511981 | − | 0.858997i | \(-0.328912\pi\) |
−0.658744 | + | 0.752367i | \(0.728912\pi\) | |||||||
\(14\) | 4.69644 | + | 6.46409i | 0.335460 | + | 0.461721i | ||||
\(15\) | −13.5279 | + | 6.48032i | −0.901863 | + | 0.432022i | ||||
\(16\) | −3.23607 | − | 2.35114i | −0.202254 | − | 0.146946i | ||||
\(17\) | −27.0787 | + | 8.79841i | −1.59287 | + | 0.517554i | −0.965330 | − | 0.261033i | \(-0.915937\pi\) |
−0.627537 | + | 0.778587i | \(0.715937\pi\) | |||||||
\(18\) | −11.6073 | − | 5.22219i | −0.644848 | − | 0.290122i | ||||
\(19\) | −4.36382 | − | 13.4305i | −0.229675 | − | 0.706866i | −0.997783 | − | 0.0665467i | \(-0.978802\pi\) |
0.768108 | − | 0.640320i | \(-0.221198\pi\) | |||||||
\(20\) | −1.26933 | + | 9.91911i | −0.0634667 | + | 0.495956i | ||||
\(21\) | 16.3804 | − | 4.35493i | 0.780021 | − | 0.207378i | ||||
\(22\) | −6.95216 | + | 21.3966i | −0.316007 | + | 0.972571i | ||||
\(23\) | −26.2815 | − | 36.1733i | −1.14267 | − | 1.57275i | −0.761389 | − | 0.648295i | \(-0.775482\pi\) |
−0.381283 | − | 0.924458i | \(-0.624518\pi\) | |||||||
\(24\) | −7.12535 | + | 4.60754i | −0.296890 | + | 0.191981i | ||||
\(25\) | 23.2740 | − | 9.12808i | 0.930959 | − | 0.365123i | ||||
\(26\) | 3.33517i | 0.128276i | ||||||||
\(27\) | −19.2032 | + | 18.9799i | −0.711229 | + | 0.702961i | ||||
\(28\) | 3.49178 | − | 10.7466i | 0.124707 | − | 0.383807i | ||||
\(29\) | 21.0526 | + | 6.84041i | 0.725953 | + | 0.235876i | 0.648602 | − | 0.761128i | \(-0.275354\pi\) |
0.0773505 | + | 0.997004i | \(0.475354\pi\) | |||||||
\(30\) | 18.6594 | + | 10.0908i | 0.621982 | + | 0.336361i | ||||
\(31\) | −2.10324 | − | 6.47312i | −0.0678466 | − | 0.208810i | 0.911385 | − | 0.411554i | \(-0.135014\pi\) |
−0.979232 | + | 0.202744i | \(0.935014\pi\) | |||||||
\(32\) | 5.65685i | 0.176777i | ||||||||
\(33\) | 37.0305 | + | 30.1064i | 1.12214 | + | 0.912315i | ||||
\(34\) | 32.5758 | + | 23.6677i | 0.958111 | + | 0.696108i | ||||
\(35\) | −27.7573 | + | 5.24859i | −0.793064 | + | 0.149960i | ||||
\(36\) | 3.67376 | + | 17.6211i | 0.102049 | + | 0.489475i | ||||
\(37\) | −12.0598 | − | 8.76194i | −0.325940 | − | 0.236809i | 0.412766 | − | 0.910837i | \(-0.364563\pi\) |
−0.738706 | + | 0.674028i | \(0.764563\pi\) | |||||||
\(38\) | −11.7387 | + | 16.1569i | −0.308912 | + | 0.425181i | ||||
\(39\) | 6.60010 | + | 2.54831i | 0.169233 | + | 0.0653412i | ||||
\(40\) | 12.4038 | − | 6.79303i | 0.310096 | − | 0.169826i | ||||
\(41\) | 12.0302 | − | 16.5581i | 0.293419 | − | 0.403857i | −0.636702 | − | 0.771110i | \(-0.719702\pi\) |
0.930121 | + | 0.367253i | \(0.119702\pi\) | |||||||
\(42\) | −18.5989 | − | 15.1212i | −0.442831 | − | 0.360028i | ||||
\(43\) | 76.3844 | 1.77638 | 0.888191 | − | 0.459474i | \(-0.151962\pi\) | ||||
0.888191 | + | 0.459474i | \(0.151962\pi\) | |||||||
\(44\) | 30.2593 | − | 9.83184i | 0.687711 | − | 0.223451i | ||||
\(45\) | 34.2263 | − | 29.2158i | 0.760584 | − | 0.649239i | ||||
\(46\) | −19.5402 | + | 60.1384i | −0.424786 | + | 1.30736i | ||||
\(47\) | 25.6756 | + | 8.34249i | 0.546288 | + | 0.177500i | 0.569142 | − | 0.822239i | \(-0.307275\pi\) |
−0.0228540 | + | 0.999739i | \(0.507275\pi\) | |||||||
\(48\) | 11.1946 | + | 4.32224i | 0.233220 | + | 0.0900467i | ||||
\(49\) | −17.0795 | −0.348561 | ||||||||
\(50\) | −29.7902 | − | 19.0405i | −0.595805 | − | 0.380811i | ||||
\(51\) | 71.7271 | − | 46.3816i | 1.40641 | − | 0.909444i | ||||
\(52\) | 3.81584 | − | 2.77237i | 0.0733816 | − | 0.0533149i | ||||
\(53\) | −56.9921 | − | 18.5179i | −1.07532 | − | 0.349394i | −0.282765 | − | 0.959189i | \(-0.591252\pi\) |
−0.792559 | + | 0.609796i | \(0.791252\pi\) | |||||||
\(54\) | 37.6781 | + | 6.19365i | 0.697742 | + | 0.114697i | ||||
\(55\) | −57.8952 | − | 54.5432i | −1.05264 | − | 0.991694i | ||||
\(56\) | −15.1980 | + | 4.93813i | −0.271393 | + | 0.0881808i | ||||
\(57\) | 23.0043 | + | 35.5751i | 0.403584 | + | 0.624124i | ||||
\(58\) | −9.67381 | − | 29.7729i | −0.166790 | − | 0.513326i | ||||
\(59\) | −51.1291 | + | 70.3732i | −0.866596 | + | 1.19277i | 0.113361 | + | 0.993554i | \(0.463838\pi\) |
−0.979956 | + | 0.199213i | \(0.936162\pi\) | |||||||
\(60\) | −3.96557 | − | 29.7367i | −0.0660929 | − | 0.495612i | ||||
\(61\) | 7.99848 | − | 5.81124i | 0.131123 | − | 0.0952662i | −0.520291 | − | 0.853989i | \(-0.674176\pi\) |
0.651413 | + | 0.758723i | \(0.274176\pi\) | |||||||
\(62\) | −5.65771 | + | 7.78717i | −0.0912534 | + | 0.125600i | ||||
\(63\) | −44.1348 | + | 25.2524i | −0.700552 | + | 0.400831i | ||||
\(64\) | 6.47214 | − | 4.70228i | 0.101127 | − | 0.0734732i | ||||
\(65\) | −10.6613 | − | 5.03783i | −0.164019 | − | 0.0775050i | ||||
\(66\) | 3.66366 | − | 67.3935i | 0.0555100 | − | 1.02111i | ||||
\(67\) | 0.784981 | + | 2.41592i | 0.0117161 | + | 0.0360585i | 0.956744 | − | 0.290932i | \(-0.0939654\pi\) |
−0.945028 | + | 0.326991i | \(0.893965\pi\) | |||||||
\(68\) | − | 56.9445i | − | 0.837420i | ||||||
\(69\) | 104.080 | + | 84.6188i | 1.50841 | + | 1.22636i | ||||
\(70\) | 29.0784 | + | 27.3948i | 0.415405 | + | 0.391354i | ||||
\(71\) | 81.3782 | + | 26.4414i | 1.14617 | + | 0.372414i | 0.819700 | − | 0.572793i | \(-0.194140\pi\) |
0.326472 | + | 0.945207i | \(0.394140\pi\) | |||||||
\(72\) | 17.1069 | − | 18.8508i | 0.237596 | − | 0.261817i | ||||
\(73\) | 11.3556 | − | 8.25034i | 0.155556 | − | 0.113018i | −0.507284 | − | 0.861779i | \(-0.669351\pi\) |
0.662841 | + | 0.748760i | \(0.269351\pi\) | |||||||
\(74\) | 21.0813i | 0.284882i | ||||||||
\(75\) | −60.4419 | + | 44.4047i | −0.805892 | + | 0.592062i | ||||
\(76\) | 28.2432 | 0.371622 | ||||||||
\(77\) | 52.8294 | + | 72.7135i | 0.686097 | + | 0.944331i | ||||
\(78\) | −2.57078 | − | 9.66961i | −0.0329587 | − | 0.123969i | ||||
\(79\) | −20.8939 | + | 64.3048i | −0.264480 | + | 0.813984i | 0.727333 | + | 0.686284i | \(0.240759\pi\) |
−0.991813 | + | 0.127700i | \(0.959241\pi\) | |||||||
\(80\) | −18.0828 | − | 8.54476i | −0.226035 | − | 0.106810i | ||||
\(81\) | 41.0456 | − | 69.8302i | 0.506736 | − | 0.862101i | ||||
\(82\) | −28.9447 | −0.352984 | ||||||||
\(83\) | −45.2531 | + | 14.7036i | −0.545218 | + | 0.177152i | −0.568659 | − | 0.822573i | \(-0.692538\pi\) |
0.0234411 | + | 0.999725i | \(0.492538\pi\) | |||||||
\(84\) | −1.84010 | + | 33.8490i | −0.0219060 | + | 0.402964i | ||||
\(85\) | −124.863 | + | 68.3818i | −1.46897 | + | 0.804492i | ||||
\(86\) | −63.4949 | − | 87.3932i | −0.738312 | − | 1.01620i | ||||
\(87\) | −66.3102 | − | 3.60477i | −0.762186 | − | 0.0414341i | ||||
\(88\) | −36.4020 | − | 26.4476i | −0.413659 | − | 0.300541i | ||||
\(89\) | −2.51715 | − | 3.46456i | −0.0282826 | − | 0.0389276i | 0.794642 | − | 0.607079i | \(-0.207659\pi\) |
−0.822924 | + | 0.568151i | \(0.807659\pi\) | |||||||
\(90\) | −61.8772 | − | 14.8734i | −0.687524 | − | 0.165260i | ||||
\(91\) | 10.7794 | + | 7.83171i | 0.118455 | + | 0.0860628i | ||||
\(92\) | 85.0486 | − | 27.6340i | 0.924441 | − | 0.300369i | ||||
\(93\) | 11.0874 | + | 17.1462i | 0.119220 | + | 0.184368i | ||||
\(94\) | −11.7981 | − | 36.3107i | −0.125511 | − | 0.386284i | ||||
\(95\) | −33.9159 | − | 61.9292i | −0.357009 | − | 0.651886i | ||||
\(96\) | −4.36035 | − | 16.4008i | −0.0454203 | − | 0.170842i | ||||
\(97\) | −18.0333 | + | 55.5008i | −0.185910 | + | 0.572173i | −0.999963 | − | 0.00861800i | \(-0.997257\pi\) |
0.814052 | + | 0.580791i | \(0.197257\pi\) | |||||||
\(98\) | 14.1974 | + | 19.5410i | 0.144871 | + | 0.199398i | ||||
\(99\) | −130.568 | − | 58.7436i | −1.31887 | − | 0.593370i | ||||
\(100\) | 2.97853 | + | 49.9112i | 0.0297853 | + | 0.499112i | ||||
\(101\) | − | 89.9015i | − | 0.890114i | −0.895502 | − | 0.445057i | \(-0.853183\pi\) | ||
0.895502 | − | 0.445057i | \(-0.146817\pi\) | |||||||
\(102\) | −112.690 | − | 43.5097i | −1.10480 | − | 0.426566i | ||||
\(103\) | 22.8962 | − | 70.4672i | 0.222293 | − | 0.684148i | −0.776262 | − | 0.630411i | \(-0.782887\pi\) |
0.998555 | − | 0.0537375i | \(-0.0171134\pi\) | |||||||
\(104\) | −6.34387 | − | 2.06125i | −0.0609988 | − | 0.0198197i | ||||
\(105\) | 76.4305 | − | 36.6127i | 0.727910 | − | 0.348692i | ||||
\(106\) | 26.1882 | + | 80.5990i | 0.247059 | + | 0.760368i | ||||
\(107\) | 163.495i | 1.52799i | 0.645224 | + | 0.763993i | \(0.276764\pi\) | ||||
−0.645224 | + | 0.763993i | \(0.723236\pi\) | |||||||
\(108\) | −24.2338 | − | 48.2569i | −0.224387 | − | 0.446823i | ||||
\(109\) | −99.5480 | − | 72.3259i | −0.913285 | − | 0.663540i | 0.0285589 | − | 0.999592i | \(-0.490908\pi\) |
−0.941843 | + | 0.336052i | \(0.890908\pi\) | |||||||
\(110\) | −14.2785 | + | 111.578i | −0.129805 | + | 1.01435i | ||||
\(111\) | 41.7185 | + | 16.1076i | 0.375842 | + | 0.145113i | ||||
\(112\) | 18.2832 | + | 13.2835i | 0.163243 | + | 0.118603i | ||||
\(113\) | 90.9811 | − | 125.225i | 0.805143 | − | 1.10818i | −0.186912 | − | 0.982377i | \(-0.559848\pi\) |
0.992055 | − | 0.125807i | \(-0.0401521\pi\) | |||||||
\(114\) | 21.5799 | − | 55.8916i | 0.189297 | − | 0.490277i | ||||
\(115\) | −162.724 | − | 153.302i | −1.41499 | − | 1.33306i | ||||
\(116\) | −26.0225 | + | 35.8169i | −0.224332 | + | 0.308766i | ||||
\(117\) | −21.0998 | − | 2.30086i | −0.180340 | − | 0.0196655i | ||||
\(118\) | 123.017 | 1.04252 | ||||||||
\(119\) | 152.990 | − | 49.7095i | 1.28563 | − | 0.417727i | ||||
\(120\) | −30.7261 | + | 29.2559i | −0.256051 | + | 0.243799i | ||||
\(121\) | −40.8126 | + | 125.608i | −0.337295 | + | 1.03809i | ||||
\(122\) | −13.2975 | − | 4.32063i | −0.108996 | − | 0.0354150i | ||||
\(123\) | −22.1158 | + | 57.2797i | −0.179803 | + | 0.465689i | ||||
\(124\) | 13.6125 | 0.109778 | ||||||||
\(125\) | 105.864 | − | 66.4668i | 0.846911 | − | 0.531735i | ||||
\(126\) | 65.5790 | + | 29.5045i | 0.520468 | + | 0.234162i | ||||
\(127\) | 116.992 | − | 84.9997i | 0.921197 | − | 0.669289i | −0.0226245 | − | 0.999744i | \(-0.507202\pi\) |
0.943822 | + | 0.330455i | \(0.107202\pi\) | |||||||
\(128\) | −10.7600 | − | 3.49613i | −0.0840623 | − | 0.0273135i | ||||
\(129\) | −221.460 | + | 58.8778i | −1.71675 | + | 0.456417i | ||||
\(130\) | 3.09832 | + | 16.3855i | 0.0238332 | + | 0.126042i | ||||
\(131\) | −72.7163 | + | 23.6270i | −0.555086 | + | 0.180358i | −0.573109 | − | 0.819479i | \(-0.694263\pi\) |
0.0180228 | + | 0.999838i | \(0.494263\pi\) | |||||||
\(132\) | −80.1519 | + | 51.8294i | −0.607211 | + | 0.392647i | ||||
\(133\) | 24.6548 | + | 75.8797i | 0.185375 | + | 0.570524i | ||||
\(134\) | 2.11159 | − | 2.90636i | 0.0157582 | − | 0.0216892i | ||||
\(135\) | −76.7120 | + | 111.087i | −0.568237 | + | 0.822865i | ||||
\(136\) | −65.1515 | + | 47.3354i | −0.479055 | + | 0.348054i | ||||
\(137\) | 91.6175 | − | 126.101i | 0.668741 | − | 0.920443i | −0.330990 | − | 0.943634i | \(-0.607383\pi\) |
0.999731 | + | 0.0231911i | \(0.00738262\pi\) | |||||||
\(138\) | 10.2973 | − | 189.420i | 0.0746181 | − | 1.37261i | ||||
\(139\) | 24.4182 | − | 17.7409i | 0.175671 | − | 0.127632i | −0.496475 | − | 0.868051i | \(-0.665373\pi\) |
0.672146 | + | 0.740419i | \(0.265373\pi\) | |||||||
\(140\) | 7.17151 | − | 56.0412i | 0.0512251 | − | 0.400295i | ||||
\(141\) | −80.8712 | − | 4.39634i | −0.573555 | − | 0.0311797i | ||||
\(142\) | −37.3938 | − | 115.086i | −0.263336 | − | 0.810466i | ||||
\(143\) | 37.5168i | 0.262355i | ||||||||
\(144\) | −35.7878 | − | 3.90255i | −0.248527 | − | 0.0271010i | ||||
\(145\) | 109.785 | + | 14.0490i | 0.757138 | + | 0.0968897i | ||||
\(146\) | −18.8788 | − | 6.13410i | −0.129307 | − | 0.0420144i | ||||
\(147\) | 49.5183 | − | 13.1650i | 0.336859 | − | 0.0895579i | ||||
\(148\) | 24.1195 | − | 17.5239i | 0.162970 | − | 0.118405i | ||||
\(149\) | 40.8159i | 0.273932i | 0.990576 | + | 0.136966i | \(0.0437351\pi\) | ||||
−0.990576 | + | 0.136966i | \(0.956265\pi\) | |||||||
\(150\) | 101.047 | + | 32.2414i | 0.673647 | + | 0.214943i | ||||
\(151\) | 169.123 | 1.12002 | 0.560010 | − | 0.828486i | \(-0.310797\pi\) | ||||
0.560010 | + | 0.828486i | \(0.310797\pi\) | |||||||
\(152\) | −23.4773 | − | 32.3137i | −0.154456 | − | 0.212590i | ||||
\(153\) | −172.206 | + | 189.761i | −1.12553 | + | 1.24027i | ||||
\(154\) | 39.2785 | − | 120.887i | 0.255055 | − | 0.784979i | ||||
\(155\) | −16.3465 | − | 29.8482i | −0.105461 | − | 0.192569i | ||||
\(156\) | −8.92625 | + | 10.9792i | −0.0572196 | + | 0.0703794i | ||||
\(157\) | 199.715 | 1.27207 | 0.636036 | − | 0.771660i | \(-0.280573\pi\) | ||||
0.636036 | + | 0.771660i | \(0.280573\pi\) | |||||||
\(158\) | 90.9407 | − | 29.5484i | 0.575574 | − | 0.187015i | ||||
\(159\) | 179.510 | + | 9.75857i | 1.12899 | + | 0.0613746i | ||||
\(160\) | 5.25512 | + | 27.7918i | 0.0328445 | + | 0.173699i | ||||
\(161\) | 148.486 | + | 204.373i | 0.922271 | + | 1.26940i | ||||
\(162\) | −114.014 | + | 11.0854i | −0.703788 | + | 0.0684286i | ||||
\(163\) | −135.433 | − | 98.3978i | −0.830877 | − | 0.603667i | 0.0889306 | − | 0.996038i | \(-0.471655\pi\) |
−0.919807 | + | 0.392371i | \(0.871655\pi\) | |||||||
\(164\) | 24.0604 | + | 33.1163i | 0.146710 | + | 0.201928i | ||||
\(165\) | 209.897 | + | 113.510i | 1.27210 | + | 0.687941i | ||||
\(166\) | 54.4396 | + | 39.5527i | 0.327949 | + | 0.238269i | ||||
\(167\) | −152.395 | + | 49.5162i | −0.912546 | + | 0.296504i | −0.727405 | − | 0.686208i | \(-0.759274\pi\) |
−0.185140 | + | 0.982712i | \(0.559274\pi\) | |||||||
\(168\) | 40.2570 | − | 26.0318i | 0.239625 | − | 0.154951i | ||||
\(169\) | −50.5052 | − | 155.439i | −0.298847 | − | 0.919758i | ||||
\(170\) | 182.030 | + | 86.0156i | 1.07076 | + | 0.505974i | ||||
\(171\) | −94.1175 | − | 85.4104i | −0.550395 | − | 0.499476i | ||||
\(172\) | −47.2082 | + | 145.292i | −0.274466 | + | 0.844720i | ||||
\(173\) | 77.8819 | + | 107.195i | 0.450185 | + | 0.619626i | 0.972437 | − | 0.233165i | \(-0.0749082\pi\) |
−0.522253 | + | 0.852791i | \(0.674908\pi\) | |||||||
\(174\) | 50.9963 | + | 78.8635i | 0.293082 | + | 0.453239i | ||||
\(175\) | −131.494 | + | 51.5720i | −0.751394 | + | 0.294697i | ||||
\(176\) | 63.6330i | 0.361551i | ||||||||
\(177\) | 93.9937 | − | 243.443i | 0.531038 | − | 1.37538i | ||||
\(178\) | −1.87149 | + | 5.75986i | −0.0105140 | + | 0.0323587i | ||||
\(179\) | 27.7472 | + | 9.01560i | 0.155012 | + | 0.0503665i | 0.385495 | − | 0.922710i | \(-0.374031\pi\) |
−0.230483 | + | 0.973076i | \(0.574031\pi\) | |||||||
\(180\) | 34.4187 | + | 83.1586i | 0.191215 | + | 0.461992i | ||||
\(181\) | −46.9691 | − | 144.556i | −0.259498 | − | 0.798652i | −0.992910 | − | 0.118868i | \(-0.962073\pi\) |
0.733412 | − | 0.679784i | \(-0.237927\pi\) | |||||||
\(182\) | − | 18.8431i | − | 0.103534i | ||||||
\(183\) | −18.7105 | + | 23.0137i | −0.102243 | + | 0.125758i | ||||
\(184\) | −102.314 | − | 74.3352i | −0.556052 | − | 0.403996i | ||||
\(185\) | −67.3886 | − | 31.8436i | −0.364263 | − | 0.172127i | ||||
\(186\) | 10.4009 | − | 26.9382i | 0.0559188 | − | 0.144829i | ||||
\(187\) | 366.439 | + | 266.234i | 1.95957 | + | 1.42371i | ||||
\(188\) | −31.7367 | + | 43.6819i | −0.168812 | + | 0.232350i | ||||
\(189\) | 108.495 | − | 107.233i | 0.574045 | − | 0.567372i | ||||
\(190\) | −42.6619 | + | 90.2828i | −0.224536 | + | 0.475172i | ||||
\(191\) | −95.8679 | + | 131.951i | −0.501926 | + | 0.690842i | −0.982532 | − | 0.186095i | \(-0.940417\pi\) |
0.480605 | + | 0.876937i | \(0.340417\pi\) | |||||||
\(192\) | −15.1400 | + | 18.6220i | −0.0788542 | + | 0.0969898i | ||||
\(193\) | 99.7147 | 0.516657 | 0.258328 | − | 0.966057i | \(-0.416828\pi\) | ||||
0.258328 | + | 0.966057i | \(0.416828\pi\) | |||||||
\(194\) | 78.4900 | − | 25.5029i | 0.404588 | − | 0.131458i | ||||
\(195\) | 34.7932 | + | 6.38831i | 0.178427 | + | 0.0327606i | ||||
\(196\) | 10.5557 | − | 32.4871i | 0.0538557 | − | 0.165751i | ||||
\(197\) | −101.616 | − | 33.0171i | −0.515818 | − | 0.167599i | 0.0395285 | − | 0.999218i | \(-0.487414\pi\) |
−0.555347 | + | 0.831619i | \(0.687414\pi\) | |||||||
\(198\) | 41.3255 | + | 198.217i | 0.208714 | + | 1.00110i | ||||
\(199\) | −136.426 | −0.685556 | −0.342778 | − | 0.939416i | \(-0.611368\pi\) | ||||
−0.342778 | + | 0.939416i | \(0.611368\pi\) | |||||||
\(200\) | 54.6286 | − | 44.8967i | 0.273143 | − | 0.224483i | ||||
\(201\) | −4.13809 | − | 6.39938i | −0.0205875 | − | 0.0318377i | ||||
\(202\) | −102.858 | + | 74.7309i | −0.509200 | + | 0.369955i | ||||
\(203\) | −118.944 | − | 38.6471i | −0.585929 | − | 0.190380i | ||||
\(204\) | 43.8933 | + | 165.098i | 0.215163 | + | 0.809306i | ||||
\(205\) | 43.7214 | − | 92.5249i | 0.213275 | − | 0.451341i | ||||
\(206\) | −99.6557 | + | 32.3801i | −0.483766 | + | 0.157185i | ||||
\(207\) | −366.983 | − | 165.108i | −1.77286 | − | 0.797625i | ||||
\(208\) | 2.91505 | + | 8.97159i | 0.0140146 | + | 0.0431326i | ||||
\(209\) | −132.046 | + | 181.746i | −0.631800 | + | 0.869598i | ||||
\(210\) | −105.423 | − | 57.0115i | −0.502012 | − | 0.271483i | ||||
\(211\) | −97.4307 | + | 70.7876i | −0.461757 | + | 0.335486i | −0.794220 | − | 0.607630i | \(-0.792120\pi\) |
0.332463 | + | 0.943116i | \(0.392120\pi\) | |||||||
\(212\) | 70.4461 | − | 96.9608i | 0.332293 | − | 0.457362i | ||||
\(213\) | −256.320 | − | 13.9341i | −1.20338 | − | 0.0654184i | ||||
\(214\) | 187.058 | − | 135.905i | 0.874102 | − | 0.635072i | ||||
\(215\) | 375.272 | − | 70.9598i | 1.74545 | − | 0.330046i | ||||
\(216\) | −35.0674 | + | 67.8401i | −0.162349 | + | 0.314075i | ||||
\(217\) | 11.8830 | + | 36.5720i | 0.0547602 | + | 0.168534i | ||||
\(218\) | 174.016i | 0.798240i | ||||||||
\(219\) | −26.5638 | + | 32.6731i | −0.121296 | + | 0.149192i | ||||
\(220\) | 139.529 | − | 76.4136i | 0.634221 | − | 0.347335i | ||||
\(221\) | 63.8604 | + | 20.7495i | 0.288961 | + | 0.0938891i | ||||
\(222\) | −16.2496 | − | 61.1206i | −0.0731964 | − | 0.275318i | ||||
\(223\) | 316.423 | − | 229.895i | 1.41894 | − | 1.03092i | 0.426994 | − | 0.904255i | \(-0.359573\pi\) |
0.991946 | − | 0.126665i | \(-0.0404273\pi\) | |||||||
\(224\) | − | 31.9602i | − | 0.142680i | ||||||
\(225\) | 141.011 | − | 175.331i | 0.626715 | − | 0.779249i | ||||
\(226\) | −218.901 | −0.968588 | ||||||||
\(227\) | 30.9174 | + | 42.5541i | 0.136200 | + | 0.187463i | 0.871669 | − | 0.490095i | \(-0.163038\pi\) |
−0.735469 | + | 0.677558i | \(0.763038\pi\) | |||||||
\(228\) | −81.8852 | + | 21.7701i | −0.359146 | + | 0.0954830i | ||||
\(229\) | −31.9950 | + | 98.4705i | −0.139716 | + | 0.430002i | −0.996294 | − | 0.0860161i | \(-0.972586\pi\) |
0.856578 | + | 0.516018i | \(0.172586\pi\) | |||||||
\(230\) | −40.1321 | + | 313.609i | −0.174487 | + | 1.36352i | ||||
\(231\) | −209.216 | − | 170.096i | −0.905696 | − | 0.736345i | ||||
\(232\) | 62.6102 | 0.269871 | ||||||||
\(233\) | −3.15189 | + | 1.02411i | −0.0135274 | + | 0.00439533i | −0.315773 | − | 0.948835i | \(-0.602264\pi\) |
0.302245 | + | 0.953230i | \(0.402264\pi\) | |||||||
\(234\) | 14.9068 | + | 26.0534i | 0.0637044 | + | 0.111339i | ||||
\(235\) | 133.893 | + | 17.1340i | 0.569755 | + | 0.0729107i | ||||
\(236\) | −102.258 | − | 140.746i | −0.433298 | − | 0.596383i | ||||
\(237\) | 11.0107 | − | 202.543i | 0.0464586 | − | 0.854612i | ||||
\(238\) | −184.047 | − | 133.718i | −0.773308 | − | 0.561841i | ||||
\(239\) | −276.082 | − | 379.994i | −1.15515 | − | 1.58993i | −0.727700 | − | 0.685896i | \(-0.759410\pi\) |
−0.427454 | − | 0.904037i | \(-0.640590\pi\) | |||||||
\(240\) | 59.0135 | + | 10.8354i | 0.245890 | + | 0.0451473i | ||||
\(241\) | −172.479 | − | 125.313i | −0.715681 | − | 0.519972i | 0.169321 | − | 0.985561i | \(-0.445843\pi\) |
−0.885001 | + | 0.465589i | \(0.845843\pi\) | |||||||
\(242\) | 177.637 | − | 57.7178i | 0.734038 | − | 0.238503i | ||||
\(243\) | −65.1772 | + | 234.096i | −0.268219 | + | 0.963358i | ||||
\(244\) | 6.11030 | + | 18.8056i | 0.0250422 | + | 0.0770720i | ||||
\(245\) | −83.9106 | + | 15.8666i | −0.342492 | + | 0.0647615i | ||||
\(246\) | 83.9188 | − | 22.3108i | 0.341134 | − | 0.0906943i | ||||
\(247\) | −10.2913 | + | 31.6734i | −0.0416652 | + | 0.128232i | ||||
\(248\) | −11.3154 | − | 15.5743i | −0.0456267 | − | 0.0627998i | ||||
\(249\) | 119.868 | − | 77.5115i | 0.481398 | − | 0.311291i | ||||
\(250\) | −164.046 | − | 65.8704i | −0.656184 | − | 0.263482i | ||||
\(251\) | 10.9692i | 0.0437021i | 0.999761 | + | 0.0218511i | \(0.00695596\pi\) | ||||
−0.999761 | + | 0.0218511i | \(0.993044\pi\) | |||||||
\(252\) | −20.7561 | − | 99.5562i | −0.0823654 | − | 0.395064i | ||||
\(253\) | −219.804 | + | 676.487i | −0.868791 | + | 2.67386i | ||||
\(254\) | −194.500 | − | 63.1969i | −0.765749 | − | 0.248807i | ||||
\(255\) | 309.303 | − | 294.503i | 1.21295 | − | 1.15492i | ||||
\(256\) | 4.94427 | + | 15.2169i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | − | 505.126i | − | 1.96547i | −0.185019 | − | 0.982735i | \(-0.559235\pi\) | ||
0.185019 | − | 0.982735i | \(-0.440765\pi\) | |||||||
\(258\) | 251.453 | + | 204.435i | 0.974624 | + | 0.792385i | ||||
\(259\) | 68.1356 | + | 49.5034i | 0.263072 | + | 0.191133i | ||||
\(260\) | 16.1715 | − | 17.1654i | 0.0621982 | − | 0.0660206i | ||||
\(261\) | 195.031 | − | 40.6612i | 0.747245 | − | 0.155790i | ||||
\(262\) | 87.4779 | + | 63.5564i | 0.333885 | + | 0.242582i | ||||
\(263\) | 237.193 | − | 326.468i | 0.901875 | − | 1.24132i | −0.0679914 | − | 0.997686i | \(-0.521659\pi\) |
0.969866 | − | 0.243638i | \(-0.0783410\pi\) | |||||||
\(264\) | 125.926 | + | 48.6202i | 0.476992 | + | 0.184167i | ||||
\(265\) | −297.202 | − | 38.0325i | −1.12152 | − | 0.143519i | ||||
\(266\) | 66.3213 | − | 91.2835i | 0.249328 | − | 0.343171i | ||||
\(267\) | 9.96844 | + | 8.10450i | 0.0373350 | + | 0.0303540i | ||||
\(268\) | −5.08050 | −0.0189571 | ||||||||
\(269\) | −149.906 | + | 48.7073i | −0.557270 | + | 0.181068i | −0.574093 | − | 0.818790i | \(-0.694645\pi\) |
0.0168222 | + | 0.999858i | \(0.494645\pi\) | |||||||
\(270\) | 190.864 | − | 4.57327i | 0.706904 | − | 0.0169380i | ||||
\(271\) | −102.819 | + | 316.444i | −0.379405 | + | 1.16769i | 0.561053 | + | 0.827780i | \(0.310396\pi\) |
−0.940458 | + | 0.339909i | \(0.889604\pi\) | |||||||
\(272\) | 108.315 | + | 35.1937i | 0.398217 | + | 0.129388i | ||||
\(273\) | −37.2894 | − | 14.3975i | −0.136591 | − | 0.0527381i | ||||
\(274\) | −220.432 | −0.804497 | ||||||||
\(275\) | −335.105 | − | 214.184i | −1.21856 | − | 0.778850i | ||||
\(276\) | −225.280 | + | 145.675i | −0.816231 | + | 0.527808i | ||||
\(277\) | −182.750 | + | 132.775i | −0.659746 | + | 0.479334i | −0.866577 | − | 0.499043i | \(-0.833685\pi\) |
0.206831 | + | 0.978377i | \(0.433685\pi\) | |||||||
\(278\) | −40.5955 | − | 13.1903i | −0.146027 | − | 0.0474470i | ||||
\(279\) | −45.3621 | − | 41.1655i | −0.162588 | − | 0.147547i | ||||
\(280\) | −70.0794 | + | 38.3794i | −0.250284 | + | 0.137069i | ||||
\(281\) | 113.418 | − | 36.8517i | 0.403622 | − | 0.131145i | −0.100169 | − | 0.994970i | \(-0.531938\pi\) |
0.503791 | + | 0.863826i | \(0.331938\pi\) | |||||||
\(282\) | 62.1946 | + | 96.1811i | 0.220548 | + | 0.341068i | ||||
\(283\) | −46.0024 | − | 141.581i | −0.162553 | − | 0.500285i | 0.836295 | − | 0.548280i | \(-0.184717\pi\) |
−0.998848 | + | 0.0479943i | \(0.984717\pi\) | |||||||
\(284\) | −100.589 | + | 138.449i | −0.354187 | + | 0.487496i | ||||
\(285\) | 146.067 | + | 153.408i | 0.512517 | + | 0.538272i | ||||
\(286\) | 42.9238 | − | 31.1860i | 0.150083 | − | 0.109042i | ||||
\(287\) | −67.9684 | + | 93.5505i | −0.236824 | + | 0.325960i | ||||
\(288\) | 25.2838 | + | 44.1897i | 0.0877910 | + | 0.153436i | ||||
\(289\) | 422.040 | − | 306.630i | 1.46035 | − | 1.06100i | ||||
\(290\) | −75.1854 | − | 137.286i | −0.259260 | − | 0.473399i | ||||
\(291\) | 9.50321 | − | 174.813i | 0.0326571 | − | 0.600732i | ||||
\(292\) | 8.67492 | + | 26.6987i | 0.0297086 | + | 0.0914338i | ||||
\(293\) | 499.212i | 1.70379i | 0.523709 | + | 0.851897i | \(0.324548\pi\) | ||||
−0.523709 | + | 0.851897i | \(0.675452\pi\) | |||||||
\(294\) | −56.2247 | − | 45.7116i | −0.191240 | − | 0.155482i | ||||
\(295\) | −185.819 | + | 393.238i | −0.629895 | + | 1.33301i | ||||
\(296\) | −40.0989 | − | 13.0289i | −0.135469 | − | 0.0440167i | ||||
\(297\) | 423.835 | + | 69.6713i | 1.42705 | + | 0.234584i | ||||
\(298\) | 46.6984 | − | 33.9284i | 0.156706 | − | 0.113854i | ||||
\(299\) | 105.447i | 0.352665i | ||||||||
\(300\) | −47.1076 | − | 142.411i | −0.157025 | − | 0.474703i | ||||
\(301\) | −431.559 | −1.43375 | ||||||||
\(302\) | −140.584 | − | 193.498i | −0.465511 | − | 0.640721i | ||||
\(303\) | 69.2968 | + | 260.650i | 0.228702 | + | 0.860231i | ||||
\(304\) | −17.4553 | + | 53.7218i | −0.0574187 | + | 0.176717i | ||||
\(305\) | 33.8975 | − | 35.9807i | 0.111139 | − | 0.117970i | ||||
\(306\) | 360.257 | + | 39.2848i | 1.17731 | + | 0.128382i | ||||
\(307\) | 267.959 | 0.872832 | 0.436416 | − | 0.899745i | \(-0.356248\pi\) | ||||
0.436416 | + | 0.899745i | \(0.356248\pi\) | |||||||
\(308\) | −170.960 | + | 55.5482i | −0.555064 | + | 0.180351i | ||||
\(309\) | −12.0659 | + | 221.953i | −0.0390481 | + | 0.718295i | ||||
\(310\) | −20.5619 | + | 43.5138i | −0.0663286 | + | 0.140367i | ||||
\(311\) | −125.541 | − | 172.792i | −0.403668 | − | 0.555601i | 0.557992 | − | 0.829846i | \(-0.311572\pi\) |
−0.961660 | + | 0.274245i | \(0.911572\pi\) | |||||||
\(312\) | 19.9815 | + | 1.08624i | 0.0640433 | + | 0.00348154i | ||||
\(313\) | 103.175 | + | 74.9608i | 0.329632 | + | 0.239491i | 0.740274 | − | 0.672305i | \(-0.234696\pi\) |
−0.410643 | + | 0.911796i | \(0.634696\pi\) | |||||||
\(314\) | −166.014 | − | 228.499i | −0.528707 | − | 0.727703i | ||||
\(315\) | −193.373 | + | 165.064i | −0.613881 | + | 0.524012i | ||||
\(316\) | −109.402 | − | 79.4851i | −0.346208 | − | 0.251535i | ||||
\(317\) | −326.909 | + | 106.219i | −1.03126 | + | 0.335076i | −0.775287 | − | 0.631609i | \(-0.782395\pi\) |
−0.255970 | + | 0.966685i | \(0.582395\pi\) | |||||||
\(318\) | −138.054 | − | 213.494i | −0.434131 | − | 0.671363i | ||||
\(319\) | −108.819 | − | 334.911i | −0.341125 | − | 1.04988i | ||||
\(320\) | 27.4289 | − | 29.1145i | 0.0857153 | − | 0.0909829i | ||||
\(321\) | −126.023 | − | 474.017i | −0.392595 | − | 1.47669i | ||||
\(322\) | 110.398 | − | 339.772i | 0.342852 | − | 1.05519i | ||||
\(323\) | 236.334 | + | 325.285i | 0.731683 | + | 1.00708i | ||||
\(324\) | 107.457 | + | 121.231i | 0.331659 | + | 0.374169i | ||||
\(325\) | −57.0582 | − | 14.8464i | −0.175564 | − | 0.0456813i | ||||
\(326\) | 236.745i | 0.726213i | ||||||||
\(327\) | 344.367 | + | 132.961i | 1.05311 | + | 0.406608i | ||||
\(328\) | 17.8888 | − | 55.0560i | 0.0545390 | − | 0.167854i | ||||
\(329\) | −145.062 | − | 47.1336i | −0.440919 | − | 0.143263i | ||||
\(330\) | −44.6081 | − | 334.504i | −0.135176 | − | 1.01365i | ||||
\(331\) | 5.51443 | + | 16.9717i | 0.0166599 | + | 0.0512739i | 0.959041 | − | 0.283268i | \(-0.0914185\pi\) |
−0.942381 | + | 0.334542i | \(0.891419\pi\) | |||||||
\(332\) | − | 95.1639i | − | 0.286638i | ||||||
\(333\) | −133.370 | − | 14.5435i | −0.400510 | − | 0.0436742i | ||||
\(334\) | 183.332 | + | 133.198i | 0.548897 | + | 0.398797i | ||||
\(335\) | 6.10091 | + | 11.1400i | 0.0182117 | + | 0.0332539i | ||||
\(336\) | −63.2473 | − | 24.4199i | −0.188236 | − | 0.0726783i | ||||
\(337\) | −421.225 | − | 306.038i | −1.24993 | − | 0.908125i | −0.251709 | − | 0.967803i | \(-0.580993\pi\) |
−0.998218 | + | 0.0596779i | \(0.980993\pi\) | |||||||
\(338\) | −135.859 | + | 186.994i | −0.401949 | + | 0.553235i | ||||
\(339\) | −167.256 | + | 433.191i | −0.493380 | + | 1.27785i | ||||
\(340\) | −52.9005 | − | 279.765i | −0.155590 | − | 0.822839i | ||||
\(341\) | −63.6427 | + | 87.5966i | −0.186635 | + | 0.256882i | ||||
\(342\) | −19.4844 | + | 178.680i | −0.0569720 | + | 0.522455i | ||||
\(343\) | 373.337 | 1.08845 | ||||||||
\(344\) | 205.474 | − | 66.7624i | 0.597307 | − | 0.194077i | ||||
\(345\) | 589.949 | + | 319.039i | 1.71000 | + | 0.924750i | ||||
\(346\) | 57.9049 | − | 178.213i | 0.167355 | − | 0.515066i | ||||
\(347\) | −194.612 | − | 63.2332i | −0.560840 | − | 0.182228i | 0.0148588 | − | 0.999890i | \(-0.495270\pi\) |
−0.575699 | + | 0.817661i | \(0.695270\pi\) | |||||||
\(348\) | 47.8386 | − | 123.902i | 0.137467 | − | 0.356039i | ||||
\(349\) | −433.831 | −1.24307 | −0.621535 | − | 0.783386i | \(-0.713491\pi\) | ||||
−0.621535 | + | 0.783386i | \(0.713491\pi\) | |||||||
\(350\) | 168.310 | + | 107.576i | 0.480884 | + | 0.307359i | ||||
\(351\) | 62.9479 | − | 9.59305i | 0.179339 | − | 0.0273306i | ||||
\(352\) | 72.8040 | − | 52.8952i | 0.206829 | − | 0.150270i | ||||
\(353\) | 16.3190 | + | 5.30236i | 0.0462294 | + | 0.0150208i | 0.332040 | − | 0.943265i | \(-0.392263\pi\) |
−0.285811 | + | 0.958286i | \(0.592263\pi\) | |||||||
\(354\) | −356.661 | + | 94.8225i | −1.00752 | + | 0.267860i | ||||
\(355\) | 424.370 | + | 54.3060i | 1.19541 | + | 0.152975i | ||||
\(356\) | 8.14567 | − | 2.64669i | 0.0228811 | − | 0.00743452i | ||||
\(357\) | −405.245 | + | 262.048i | −1.13514 | + | 0.734028i | ||||
\(358\) | −12.7500 | − | 39.2404i | −0.0356145 | − | 0.109610i | ||||
\(359\) | −180.188 | + | 248.007i | −0.501916 | + | 0.690828i | −0.982530 | − | 0.186104i | \(-0.940414\pi\) |
0.480614 | + | 0.876932i | \(0.340414\pi\) | |||||||
\(360\) | 66.5330 | − | 108.505i | 0.184814 | − | 0.301403i | ||||
\(361\) | 130.721 | − | 94.9742i | 0.362107 | − | 0.263086i | ||||
\(362\) | −126.347 | + | 173.901i | −0.349024 | + | 0.480390i | ||||
\(363\) | 21.5075 | − | 395.633i | 0.0592493 | − | 1.08990i | ||||
\(364\) | −21.5588 | + | 15.6634i | −0.0592276 | + | 0.0430314i | ||||
\(365\) | 48.1251 | − | 51.0826i | 0.131850 | − | 0.139952i | ||||
\(366\) | 41.8837 | + | 2.27689i | 0.114436 | + | 0.00622102i | ||||
\(367\) | 49.8975 | + | 153.569i | 0.135960 | + | 0.418443i | 0.995738 | − | 0.0922252i | \(-0.0293980\pi\) |
−0.859778 | + | 0.510668i | \(0.829398\pi\) | |||||||
\(368\) | 178.851i | 0.486008i | ||||||||
\(369\) | 19.9683 | − | 183.117i | 0.0541147 | − | 0.496253i | ||||
\(370\) | 19.5841 | + | 103.571i | 0.0529301 | + | 0.279922i | ||||
\(371\) | 321.995 | + | 104.623i | 0.867912 | + | 0.282002i | ||||
\(372\) | −39.4665 | + | 10.4926i | −0.106093 | + | 0.0282059i | ||||
\(373\) | 85.5056 | − | 62.1234i | 0.229237 | − | 0.166551i | −0.467238 | − | 0.884132i | \(-0.654751\pi\) |
0.696475 | + | 0.717581i | \(0.254751\pi\) | |||||||
\(374\) | − | 640.560i | − | 1.71273i | ||||||
\(375\) | −255.696 | + | 274.307i | −0.681857 | + | 0.731486i | ||||
\(376\) | 76.3587 | 0.203082 | ||||||||
\(377\) | −30.6847 | − | 42.2339i | −0.0813917 | − | 0.112026i | ||||
\(378\) | −212.875 | − | 34.9930i | −0.563160 | − | 0.0925742i | ||||
\(379\) | 91.4803 | − | 281.547i | 0.241373 | − | 0.742869i | −0.754839 | − | 0.655910i | \(-0.772285\pi\) |
0.996212 | − | 0.0869589i | \(-0.0277149\pi\) | |||||||
\(380\) | 138.757 | − | 26.2375i | 0.365151 | − | 0.0690460i | ||||
\(381\) | −273.675 | + | 336.617i | −0.718307 | + | 0.883509i | ||||
\(382\) | 230.659 | 0.603818 | ||||||||
\(383\) | −19.5390 | + | 6.34860i | −0.0510156 | + | 0.0165760i | −0.334414 | − | 0.942426i | \(-0.608538\pi\) |
0.283398 | + | 0.959002i | \(0.408538\pi\) | |||||||
\(384\) | 33.8911 | + | 1.84239i | 0.0882580 | + | 0.00479790i | ||||
\(385\) | 327.098 | + | 308.159i | 0.849604 | + | 0.800414i | ||||
\(386\) | −82.8882 | − | 114.086i | −0.214736 | − | 0.295559i | ||||
\(387\) | 596.693 | − | 341.407i | 1.54184 | − | 0.882188i | ||||
\(388\) | −94.4236 | − | 68.6028i | −0.243360 | − | 0.176811i | ||||
\(389\) | 373.336 | + | 513.853i | 0.959732 | + | 1.32096i | 0.947066 | + | 0.321039i | \(0.104032\pi\) |
0.0126663 | + | 0.999920i | \(0.495968\pi\) | |||||||
\(390\) | −21.6130 | − | 45.1180i | −0.0554179 | − | 0.115687i | ||||
\(391\) | 1029.94 | + | 748.293i | 2.63411 | + | 1.91379i | ||||
\(392\) | −45.9437 | + | 14.9280i | −0.117203 | + | 0.0380817i | ||||
\(393\) | 192.613 | − | 124.552i | 0.490111 | − | 0.316925i | ||||
\(394\) | 46.6932 | + | 143.707i | 0.118511 | + | 0.364739i | ||||
\(395\) | −42.9124 | + | 335.336i | −0.108639 | + | 0.848951i | ||||
\(396\) | 192.433 | − | 212.050i | 0.485941 | − | 0.535480i | ||||
\(397\) | −10.6054 | + | 32.6401i | −0.0267139 | + | 0.0822169i | −0.963525 | − | 0.267620i | \(-0.913763\pi\) |
0.936811 | + | 0.349837i | \(0.113763\pi\) | |||||||
\(398\) | 113.404 | + | 156.088i | 0.284935 | + | 0.392180i | ||||
\(399\) | −129.970 | − | 200.993i | −0.325740 | − | 0.503742i | ||||
\(400\) | −96.7776 | − | 25.1813i | −0.241944 | − | 0.0629533i | ||||
\(401\) | − | 493.949i | − | 1.23179i | −0.787827 | − | 0.615897i | \(-0.788794\pi\) | ||
0.787827 | − | 0.615897i | \(-0.211206\pi\) | |||||||
\(402\) | −3.88187 | + | 10.0540i | −0.00965638 | + | 0.0250099i | ||||
\(403\) | −4.96012 | + | 15.2657i | −0.0123080 | + | 0.0378801i | ||||
\(404\) | 171.003 | + | 55.5622i | 0.423274 | + | 0.137530i | ||||
\(405\) | 136.784 | − | 381.202i | 0.337737 | − | 0.941240i | ||||
\(406\) | 54.6553 | + | 168.212i | 0.134619 | + | 0.414315i | ||||
\(407\) | 237.140i | 0.582652i | ||||||||
\(408\) | 152.406 | − | 187.458i | 0.373545 | − | 0.459456i | ||||
\(409\) | 561.548 | + | 407.988i | 1.37298 | + | 0.997526i | 0.997498 | + | 0.0706956i | \(0.0225219\pi\) |
0.375479 | + | 0.926831i | \(0.377478\pi\) | |||||||
\(410\) | −142.203 | + | 26.8891i | −0.346838 | + | 0.0655832i | ||||
\(411\) | −168.426 | + | 436.221i | −0.409795 | + | 1.06137i | ||||
\(412\) | 119.886 | + | 87.1023i | 0.290986 | + | 0.211413i | ||||
\(413\) | 288.871 | − | 397.596i | 0.699445 | − | 0.962703i | ||||
\(414\) | 116.152 | + | 557.120i | 0.280560 | + | 1.34570i | ||||
\(415\) | −208.666 | + | 114.277i | −0.502811 | + | 0.275367i | ||||
\(416\) | 7.84146 | − | 10.7928i | 0.0188497 | − | 0.0259443i | ||||
\(417\) | −57.1206 | + | 70.2577i | −0.136980 | + | 0.168484i | ||||
\(418\) | 317.704 | 0.760056 | ||||||||
\(419\) | 596.421 | − | 193.789i | 1.42344 | − | 0.462503i | 0.506746 | − | 0.862095i | \(-0.330848\pi\) |
0.916693 | + | 0.399592i | \(0.130848\pi\) | |||||||
\(420\) | 22.4048 | + | 168.007i | 0.0533447 | + | 0.400018i | ||||
\(421\) | 44.3241 | − | 136.416i | 0.105283 | − | 0.324027i | −0.884514 | − | 0.466514i | \(-0.845510\pi\) |
0.989797 | + | 0.142487i | \(0.0455098\pi\) | |||||||
\(422\) | 161.979 | + | 52.6303i | 0.383837 | + | 0.124716i | ||||
\(423\) | 237.857 | − | 49.5900i | 0.562311 | − | 0.117234i | ||||
\(424\) | −169.494 | −0.399749 | ||||||||
\(425\) | −549.917 | + | 451.951i | −1.29392 | + | 1.06341i | ||||
\(426\) | 197.125 | + | 304.844i | 0.462734 | + | 0.715597i | ||||
\(427\) | −45.1900 | + | 32.8325i | −0.105831 | + | 0.0768910i | ||||
\(428\) | −310.985 | − | 101.045i | −0.726601 | − | 0.236087i | ||||
\(429\) | −28.9182 | − | 108.772i | −0.0674085 | − | 0.253547i | ||||
\(430\) | −393.133 | − | 370.372i | −0.914263 | − | 0.861330i | ||||
\(431\) | 27.5173 | − | 8.94092i | 0.0638453 | − | 0.0207446i | −0.276920 | − | 0.960893i | \(-0.589314\pi\) |
0.340766 | + | 0.940148i | \(0.389314\pi\) | |||||||
\(432\) | 106.767 | − | 16.2710i | 0.247147 | − | 0.0376643i | ||||
\(433\) | −236.987 | − | 729.370i | −0.547313 | − | 1.68446i | −0.715426 | − | 0.698689i | \(-0.753767\pi\) |
0.168113 | − | 0.985768i | \(-0.446233\pi\) | |||||||
\(434\) | 31.9651 | − | 43.9962i | 0.0736522 | − | 0.101374i | ||||
\(435\) | −329.127 | + | 43.8911i | −0.756614 | + | 0.100899i | ||||
\(436\) | 199.096 | − | 144.652i | 0.456642 | − | 0.331770i | ||||
\(437\) | −371.137 | + | 510.826i | −0.849284 | + | 1.16894i | ||||
\(438\) | 59.4633 | + | 3.23255i | 0.135761 | + | 0.00738026i | ||||
\(439\) | 120.739 | − | 87.7218i | 0.275031 | − | 0.199822i | −0.441716 | − | 0.897155i | \(-0.645630\pi\) |
0.716747 | + | 0.697333i | \(0.245630\pi\) | |||||||
\(440\) | −203.410 | − | 96.1186i | −0.462296 | − | 0.218451i | ||||
\(441\) | −133.420 | + | 76.3383i | −0.302540 | + | 0.173103i | ||||
\(442\) | −29.3442 | − | 90.3122i | −0.0663896 | − | 0.204326i | ||||
\(443\) | − | 573.807i | − | 1.29528i | −0.761948 | − | 0.647638i | \(-0.775757\pi\) | ||
0.761948 | − | 0.647638i | \(-0.224243\pi\) | |||||||
\(444\) | −56.4219 | + | 69.3983i | −0.127076 | + | 0.156302i | ||||
\(445\) | −15.5851 | − | 14.6828i | −0.0350227 | − | 0.0329950i | ||||
\(446\) | −526.056 | − | 170.926i | −1.17950 | − | 0.383242i | ||||
\(447\) | −31.4612 | − | 118.337i | −0.0703831 | − | 0.264736i | ||||
\(448\) | −36.5664 | + | 26.5671i | −0.0816215 | + | 0.0593015i | ||||
\(449\) | − | 455.314i | − | 1.01406i | −0.861928 | − | 0.507031i | \(-0.830743\pi\) | ||
0.861928 | − | 0.507031i | \(-0.169257\pi\) | |||||||
\(450\) | −317.816 | − | 15.5892i | −0.706258 | − | 0.0346426i | ||||
\(451\) | −325.594 | −0.721937 | ||||||||
\(452\) | 181.962 | + | 250.450i | 0.402571 | + | 0.554092i | ||||
\(453\) | −490.336 | + | 130.362i | −1.08242 | + | 0.287774i | ||||
\(454\) | 22.9869 | − | 70.7465i | 0.0506320 | − | 0.155829i | ||||
\(455\) | 60.2342 | + | 28.4628i | 0.132383 | + | 0.0625557i | ||||
\(456\) | 92.9751 | + | 75.5903i | 0.203893 | + | 0.165768i | ||||
\(457\) | −258.541 | −0.565736 | −0.282868 | − | 0.959159i | \(-0.591286\pi\) | ||||
−0.282868 | + | 0.959159i | \(0.591286\pi\) | |||||||
\(458\) | 139.258 | − | 45.2478i | 0.304057 | − | 0.0987943i | ||||
\(459\) | 353.004 | − | 682.910i | 0.769073 | − | 1.48782i | ||||
\(460\) | 392.167 | − | 214.773i | 0.852538 | − | 0.466897i | ||||
\(461\) | 390.543 | + | 537.536i | 0.847165 | + | 1.16602i | 0.984480 | + | 0.175495i | \(0.0561527\pi\) |
−0.137315 | + | 0.990527i | \(0.543847\pi\) | |||||||
\(462\) | −20.6990 | + | 380.761i | −0.0448031 | + | 0.824159i | ||||
\(463\) | −474.353 | − | 344.638i | −1.02452 | − | 0.744358i | −0.0573161 | − | 0.998356i | \(-0.518254\pi\) |
−0.967205 | + | 0.253998i | \(0.918254\pi\) | |||||||
\(464\) | −52.0450 | − | 71.6337i | −0.112166 | − | 0.154383i | ||||
\(465\) | 70.4005 | + | 73.9383i | 0.151399 | + | 0.159007i | ||||
\(466\) | 3.79173 | + | 2.75486i | 0.00813677 | + | 0.00591171i | ||||
\(467\) | 656.254 | − | 213.230i | 1.40526 | − | 0.456595i | 0.494369 | − | 0.869252i | \(-0.335399\pi\) |
0.910886 | + | 0.412657i | \(0.135399\pi\) | |||||||
\(468\) | 17.4169 | − | 38.7122i | 0.0372156 | − | 0.0827184i | ||||
\(469\) | −4.43500 | − | 13.6495i | −0.00945629 | − | 0.0291035i | ||||
\(470\) | −91.6953 | − | 167.432i | −0.195096 | − | 0.356239i | ||||
\(471\) | −579.031 | + | 153.942i | −1.22937 | + | 0.326841i | ||||
\(472\) | −76.0286 | + | 233.992i | −0.161078 | + | 0.495746i | ||||
\(473\) | −714.243 | − | 983.071i | −1.51003 | − | 2.07837i | ||||
\(474\) | −240.887 | + | 155.767i | −0.508200 | + | 0.328623i | ||||
\(475\) | −224.158 | − | 272.747i | −0.471911 | − | 0.574204i | ||||
\(476\) | 321.727i | 0.675896i | ||||||||
\(477\) | −527.973 | + | 110.075i | −1.10686 | + | 0.230765i | ||||
\(478\) | −205.266 | + | 631.743i | −0.429426 | + | 1.32164i | ||||
\(479\) | 381.302 | + | 123.893i | 0.796038 | + | 0.258648i | 0.678673 | − | 0.734440i | \(-0.262555\pi\) |
0.117365 | + | 0.993089i | \(0.462555\pi\) | |||||||
\(480\) | −36.6582 | − | 76.5256i | −0.0763713 | − | 0.159428i | ||||
\(481\) | 10.8634 | + | 33.4342i | 0.0225851 | + | 0.0695098i | ||||
\(482\) | 301.504i | 0.625528i | ||||||||
\(483\) | −588.035 | − | 478.081i | −1.21746 | − | 0.989817i | ||||
\(484\) | −213.698 | − | 155.261i | −0.441524 | − | 0.320786i | ||||
\(485\) | −37.0373 | + | 289.425i | −0.0763655 | + | 0.596752i | ||||
\(486\) | 322.013 | − | 120.022i | 0.662579 | − | 0.246960i | ||||
\(487\) | −402.543 | − | 292.464i | −0.826576 | − | 0.600543i | 0.0920122 | − | 0.995758i | \(-0.470670\pi\) |
−0.918589 | + | 0.395215i | \(0.870670\pi\) | |||||||
\(488\) | 16.4367 | − | 22.6231i | 0.0336817 | − | 0.0463589i | ||||
\(489\) | 468.504 | + | 180.890i | 0.958087 | + | 0.369919i | ||||
\(490\) | 87.9043 | + | 82.8148i | 0.179396 | + | 0.169010i | ||||
\(491\) | 67.4505 | − | 92.8376i | 0.137374 | − | 0.189079i | −0.734787 | − | 0.678298i | \(-0.762718\pi\) |
0.872161 | + | 0.489219i | \(0.162718\pi\) | |||||||
\(492\) | −95.2842 | − | 77.4675i | −0.193667 | − | 0.157454i | ||||
\(493\) | −630.263 | −1.27842 | ||||||||
\(494\) | 44.7929 | − | 14.5541i | 0.0906739 | − | 0.0294617i | ||||
\(495\) | −696.046 | − | 167.308i | −1.40615 | − | 0.337996i | ||||
\(496\) | −8.41297 | + | 25.8925i | −0.0169616 | + | 0.0522026i | ||||
\(497\) | −459.772 | − | 149.389i | −0.925095 | − | 0.300582i | ||||
\(498\) | −188.323 | − | 72.7120i | −0.378159 | − | 0.146008i | ||||
\(499\) | −33.5081 | −0.0671505 | −0.0335752 | − | 0.999436i | \(-0.510689\pi\) | ||||
−0.0335752 | + | 0.999436i | \(0.510689\pi\) | |||||||
\(500\) | 61.0000 | + | 242.444i | 0.122000 | + | 0.484888i | ||||
\(501\) | 403.669 | − | 261.029i | 0.805727 | − | 0.521016i | ||||
\(502\) | 12.5501 | − | 9.11821i | 0.0250003 | − | 0.0181638i | ||||
\(503\) | 761.956 | + | 247.575i | 1.51482 | + | 0.492196i | 0.944300 | − | 0.329086i | \(-0.106741\pi\) |
0.570523 | + | 0.821282i | \(0.306741\pi\) | |||||||
\(504\) | −96.6509 | + | 106.504i | −0.191768 | + | 0.211317i | ||||
\(505\) | −83.5169 | − | 441.681i | −0.165380 | − | 0.874615i | ||||
\(506\) | 956.697 | − | 310.850i | 1.89071 | − | 0.614328i | ||||
\(507\) | 266.243 | + | 411.732i | 0.525134 | + | 0.812095i | ||||
\(508\) | 89.3740 | + | 275.065i | 0.175933 | + | 0.541466i | ||||
\(509\) | −224.981 | + | 309.660i | −0.442007 | + | 0.608370i | −0.970657 | − | 0.240470i | \(-0.922698\pi\) |
0.528650 | + | 0.848840i | \(0.322698\pi\) | |||||||
\(510\) | −594.058 | − | 109.074i | −1.16482 | − | 0.213870i | ||||
\(511\) | −64.1573 | + | 46.6130i | −0.125552 | + | 0.0912191i | ||||
\(512\) | 13.3001 | − | 18.3060i | 0.0259767 | − | 0.0357538i | ||||
\(513\) | 338.709 | + | 175.083i | 0.660251 | + | 0.341291i | ||||
\(514\) | −577.926 | + | 419.888i | −1.12437 | + | 0.816902i | ||||
\(515\) | 47.0248 | − | 367.472i | 0.0913103 | − | 0.713537i | ||||
\(516\) | 24.8778 | − | 457.631i | 0.0482128 | − | 0.886882i | ||||
\(517\) | −132.715 | − | 408.453i | −0.256701 | − | 0.790045i | ||||
\(518\) | − | 119.105i | − | 0.229933i | ||||||
\(519\) | −308.429 | − | 250.758i | −0.594275 | − | 0.483155i | ||||
\(520\) | −33.0819 | − | 4.23344i | −0.0636191 | − | 0.00814124i | ||||
\(521\) | 124.759 | + | 40.5367i | 0.239461 | + | 0.0778056i | 0.426289 | − | 0.904587i | \(-0.359821\pi\) |
−0.186828 | + | 0.982393i | \(0.559821\pi\) | |||||||
\(522\) | −208.642 | − | 189.339i | −0.399696 | − | 0.362719i | ||||
\(523\) | 680.823 | − | 494.647i | 1.30176 | − | 0.945787i | 0.301793 | − | 0.953373i | \(-0.402415\pi\) |
0.999971 | + | 0.00758609i | \(0.00241475\pi\) | |||||||
\(524\) | − | 152.917i | − | 0.291826i | ||||||
\(525\) | 341.486 | − | 250.879i | 0.650450 | − | 0.477864i | ||||
\(526\) | −570.687 | −1.08496 | ||||||||
\(527\) | 113.906 | + | 156.779i | 0.216141 | + | 0.297493i | ||||
\(528\) | −49.0488 | − | 184.490i | −0.0928955 | − | 0.349413i | ||||
\(529\) | −454.324 | + | 1398.27i | −0.858836 | + | 2.64323i | ||||
\(530\) | 203.536 | + | 371.650i | 0.384031 | + | 0.701226i | ||||
\(531\) | −84.8668 | + | 778.261i | −0.159824 | + | 1.46565i | ||||
\(532\) | −159.569 | −0.299942 | ||||||||
\(533\) | −45.9053 | + | 14.9155i | −0.0861263 | + | 0.0279841i | ||||
\(534\) | 0.986241 | − | 18.1420i | 0.00184689 | − | 0.0339738i | ||||
\(535\) | 151.884 | + | 803.239i | 0.283895 | + | 1.50138i | ||||
\(536\) | 4.22319 | + | 5.81272i | 0.00787908 | + | 0.0108446i | ||||
\(537\) | −87.3963 | − | 4.75105i | −0.162749 | − | 0.00884740i | ||||
\(538\) | 180.337 | + | 131.022i | 0.335199 | + | 0.243536i | ||||
\(539\) | 159.704 | + | 219.814i | 0.296297 | + | 0.407818i | ||||
\(540\) | −163.889 | − | 214.570i | −0.303498 | − | 0.397353i | ||||
\(541\) | −232.993 | − | 169.279i | −0.430671 | − | 0.312901i | 0.351246 | − | 0.936283i | \(-0.385758\pi\) |
−0.781917 | + | 0.623382i | \(0.785758\pi\) | |||||||
\(542\) | 447.519 | − | 145.408i | 0.825680 | − | 0.268280i | ||||
\(543\) | 247.602 | + | 382.905i | 0.455989 | + | 0.705166i | ||||
\(544\) | −49.7714 | − | 153.180i | −0.0914915 | − | 0.281582i | ||||
\(545\) | −556.263 | − | 262.854i | −1.02067 | − | 0.482301i | ||||
\(546\) | 14.5244 | + | 54.6316i | 0.0266015 | + | 0.100058i | ||||
\(547\) | −4.27436 | + | 13.1551i | −0.00781418 | + | 0.0240496i | −0.954888 | − | 0.296968i | \(-0.904025\pi\) |
0.947073 | + | 0.321017i | \(0.104025\pi\) | |||||||
\(548\) | 183.235 | + | 252.201i | 0.334371 | + | 0.460222i | ||||
\(549\) | 36.5080 | − | 81.1456i | 0.0664991 | − | 0.147806i | ||||
\(550\) | 33.5049 | + | 561.443i | 0.0609181 | + | 1.02081i | ||||
\(551\) | − | 312.597i | − | 0.567326i | ||||||
\(552\) | 353.935 | + | 136.655i | 0.641186 | + | 0.247563i | ||||
\(553\) | 118.047 | − | 363.311i | 0.213466 | − | 0.656981i | ||||
\(554\) | 303.823 | + | 98.7180i | 0.548416 | + | 0.178191i | ||||
\(555\) | 219.924 | + | 40.3798i | 0.396260 | + | 0.0727565i | ||||
\(556\) | 18.6539 | + | 57.4107i | 0.0335501 | + | 0.103257i | ||||
\(557\) | − | 727.686i | − | 1.30644i | −0.757169 | − | 0.653219i | \(-0.773418\pi\) | ||
0.757169 | − | 0.653219i | \(-0.226582\pi\) | |||||||
\(558\) | −9.39096 | + | 86.1188i | −0.0168297 | + | 0.154335i | ||||
\(559\) | −145.736 | − | 105.883i | −0.260708 | − | 0.189415i | ||||
\(560\) | 102.165 | + | 48.2764i | 0.182437 | + | 0.0862079i | ||||
\(561\) | −1267.63 | − | 489.433i | −2.25959 | − | 0.872430i | ||||
\(562\) | −136.442 | − | 99.1308i | −0.242779 | − | 0.176389i | ||||
\(563\) | 234.264 | − | 322.437i | 0.416099 | − | 0.572712i | −0.548593 | − | 0.836089i | \(-0.684837\pi\) |
0.964693 | + | 0.263378i | \(0.0848365\pi\) | |||||||
\(564\) | 58.3435 | − | 151.109i | 0.103446 | − | 0.267924i | ||||
\(565\) | 330.653 | − | 699.742i | 0.585227 | − | 1.23848i | ||||
\(566\) | −123.746 | + | 170.322i | −0.218633 | + | 0.300922i | ||||
\(567\) | −231.900 | + | 394.528i | −0.408995 | + | 0.695817i | ||||
\(568\) | 242.017 | 0.426087 | ||||||||
\(569\) | 261.900 | − | 85.0964i | 0.460281 | − | 0.149554i | −0.0696926 | − | 0.997569i | \(-0.522202\pi\) |
0.529974 | + | 0.848014i | \(0.322202\pi\) | |||||||
\(570\) | 54.0982 | − | 294.640i | 0.0949091 | − | 0.516912i | ||||
\(571\) | 37.3570 | − | 114.973i | 0.0654237 | − | 0.201354i | −0.913001 | − | 0.407958i | \(-0.866241\pi\) |
0.978425 | + | 0.206604i | \(0.0662411\pi\) | |||||||
\(572\) | −71.3612 | − | 23.1866i | −0.124757 | − | 0.0405361i | ||||
\(573\) | 176.240 | − | 456.459i | 0.307574 | − | 0.796613i | ||||
\(574\) | 163.532 | 0.284899 | ||||||||
\(575\) | −941.867 | − | 601.998i | −1.63803 | − | 1.04695i | ||||
\(576\) | 29.5412 | − | 65.6606i | 0.0512868 | − | 0.113994i | ||||
\(577\) | −707.477 | + | 514.012i | −1.22613 | + | 0.890835i | −0.996594 | − | 0.0824652i | \(-0.973721\pi\) |
−0.229535 | + | 0.973300i | \(0.573721\pi\) | |||||||
\(578\) | −701.645 | − | 227.978i | −1.21392 | − | 0.394426i | ||||
\(579\) | −289.101 | + | 76.8609i | −0.499312 | + | 0.132748i | ||||
\(580\) | −94.5736 | + | 200.141i | −0.163058 | + | 0.345070i | ||||
\(581\) | 255.672 | − | 83.0729i | 0.440055 | − | 0.142983i | ||||
\(582\) | −207.907 | + | 134.441i | −0.357229 | + | 0.230998i | ||||
\(583\) | 294.587 | + | 906.645i | 0.505295 | + | 1.55514i | ||||
\(584\) | 23.3355 | − | 32.1185i | 0.0399580 | − | 0.0549975i | ||||
\(585\) | −105.800 | + | 8.29736i | −0.180854 | + | 0.0141835i | ||||
\(586\) | 571.160 | − | 414.972i | 0.974675 | − | 0.708143i | ||||
\(587\) | −478.838 | + | 659.063i | −0.815737 | + | 1.12277i | 0.174676 | + | 0.984626i | \(0.444112\pi\) |
−0.990413 | + | 0.138140i | \(0.955888\pi\) | |||||||
\(588\) | −5.56266 | + | 102.326i | −0.00946031 | + | 0.174024i | ||||
\(589\) | −77.7588 | + | 56.4951i | −0.132018 | + | 0.0959169i | ||||
\(590\) | 604.375 | − | 114.281i | 1.02436 | − | 0.193696i | ||||
\(591\) | 320.064 | + | 17.3994i | 0.541564 | + | 0.0294406i | ||||
\(592\) | 18.4257 | + | 56.7085i | 0.0311245 | + | 0.0957913i | ||||
\(593\) | 881.612i | 1.48670i | 0.668904 | + | 0.743349i | \(0.266764\pi\) | ||||
−0.668904 | + | 0.743349i | \(0.733236\pi\) | |||||||
\(594\) | −272.602 | − | 542.833i | −0.458925 | − | 0.913861i | ||||
\(595\) | 705.452 | − | 386.345i | 1.18563 | − | 0.649319i | ||||
\(596\) | −77.6365 | − | 25.2256i | −0.130263 | − | 0.0423249i | ||||
\(597\) | 395.537 | − | 105.158i | 0.662541 | − | 0.176144i | ||||
\(598\) | 120.644 | − | 87.6532i | 0.201746 | − | 0.146577i | ||||
\(599\) | 803.017i | 1.34060i | 0.742092 | + | 0.670298i | \(0.233834\pi\) | ||||
−0.742092 | + | 0.670298i | \(0.766166\pi\) | |||||||
\(600\) | −123.777 | + | 172.276i | −0.206295 | + | 0.287127i | ||||
\(601\) | 644.414 | 1.07224 | 0.536118 | − | 0.844143i | \(-0.319890\pi\) | ||||
0.536118 | + | 0.844143i | \(0.319890\pi\) | |||||||
\(602\) | 358.735 | + | 493.756i | 0.595905 | + | 0.820193i | ||||
\(603\) | 16.9302 | + | 15.3639i | 0.0280766 | + | 0.0254792i | ||||
\(604\) | −104.524 | + | 321.691i | −0.173053 | + | 0.532601i | ||||
\(605\) | −83.8220 | + | 655.021i | −0.138549 | + | 1.08268i | ||||
\(606\) | 240.612 | − | 295.950i | 0.397050 | − | 0.488367i | ||||
\(607\) | 257.316 | 0.423915 | 0.211957 | − | 0.977279i | \(-0.432016\pi\) | ||||
0.211957 | + | 0.977279i | \(0.432016\pi\) | |||||||
\(608\) | 75.9742 | − | 24.6855i | 0.124958 | − | 0.0406012i | ||||
\(609\) | 374.641 | + | 20.3663i | 0.615174 | + | 0.0334422i | ||||
\(610\) | −69.3438 | − | 8.87382i | −0.113678 | − | 0.0145473i | ||||
\(611\) | −37.4227 | − | 51.5080i | −0.0612483 | − | 0.0843011i | ||||
\(612\) | −254.519 | − | 444.834i | −0.415880 | − | 0.726853i | ||||
\(613\) | −167.683 | − | 121.829i | −0.273544 | − | 0.198742i | 0.442552 | − | 0.896743i | \(-0.354073\pi\) |
−0.716097 | + | 0.698001i | \(0.754073\pi\) | |||||||
\(614\) | −222.742 | − | 306.579i | −0.362773 | − | 0.499314i | ||||
\(615\) | −55.4417 | + | 301.957i | −0.0901491 | + | 0.490987i | ||||
\(616\) | 205.665 | + | 149.424i | 0.333871 | + | 0.242572i | ||||
\(617\) | 670.741 | − | 217.937i | 1.08710 | − | 0.353220i | 0.289975 | − | 0.957034i | \(-0.406353\pi\) |
0.797125 | + | 0.603814i | \(0.206353\pi\) | |||||||
\(618\) | 263.972 | − | 170.695i | 0.427138 | − | 0.276205i | ||||
\(619\) | −47.5058 | − | 146.208i | −0.0767460 | − | 0.236200i | 0.905322 | − | 0.424725i | \(-0.139629\pi\) |
−0.982068 | + | 0.188525i | \(0.939629\pi\) | |||||||
\(620\) | 66.8773 | − | 12.6458i | 0.107867 | − | 0.0203964i | ||||
\(621\) | 1191.26 | + | 195.822i | 1.91829 | + | 0.315334i | ||||
\(622\) | −93.3390 | + | 287.268i | −0.150063 | + | 0.461846i | ||||
\(623\) | 14.2214 | + | 19.5741i | 0.0228274 | + | 0.0314192i | ||||
\(624\) | −15.3669 | − | 23.7643i | −0.0246265 | − | 0.0380837i | ||||
\(625\) | 458.356 | − | 424.893i | 0.733370 | − | 0.679830i | ||||
\(626\) | − | 180.356i | − | 0.288109i | ||||||
\(627\) | 242.748 | − | 628.716i | 0.387158 | − | 1.00274i | ||||
\(628\) | −123.431 | + | 379.881i | −0.196546 | + | 0.604906i | ||||
\(629\) | 403.655 | + | 131.155i | 0.641740 | + | 0.208514i | ||||
\(630\) | 349.595 | + | 84.0319i | 0.554913 | + | 0.133384i | ||||
\(631\) | −173.034 | − | 532.544i | −0.274222 | − | 0.843969i | −0.989424 | − | 0.145051i | \(-0.953665\pi\) |
0.715202 | − | 0.698918i | \(-0.246335\pi\) | |||||||
\(632\) | 191.241i | 0.302597i | ||||||||
\(633\) | 227.916 | − | 280.334i | 0.360057 | − | 0.442865i | ||||
\(634\) | 393.272 | + | 285.729i | 0.620302 | + | 0.450676i | ||||
\(635\) | 495.812 | − | 526.282i | 0.780806 | − | 0.828791i | ||||
\(636\) | −129.505 | + | 335.418i | −0.203625 | + | 0.527386i | ||||
\(637\) | 32.5864 | + | 23.6754i | 0.0511560 | + | 0.0371670i | ||||
\(638\) | −292.723 | + | 402.898i | −0.458813 | + | 0.631502i | ||||
\(639\) | 753.885 | − | 157.174i | 1.17979 | − | 0.245969i | ||||
\(640\) | −56.1110 | − | 7.18044i | −0.0876734 | − | 0.0112194i | ||||
\(641\) | 690.314 | − | 950.136i | 1.07693 | − | 1.48227i | 0.214081 | − | 0.976816i | \(-0.431324\pi\) |
0.862852 | − | 0.505456i | \(-0.168676\pi\) | |||||||
\(642\) | −437.577 | + | 538.214i | −0.681584 | + | 0.838340i | ||||
\(643\) | −725.893 | −1.12892 | −0.564458 | − | 0.825462i | \(-0.690915\pi\) | ||||
−0.564458 | + | 0.825462i | \(0.690915\pi\) | |||||||
\(644\) | −480.510 | + | 156.127i | −0.746133 | + | 0.242433i | ||||
\(645\) | −1033.32 | + | 494.996i | −1.60205 | + | 0.767435i | ||||
\(646\) | 175.713 | − | 540.789i | 0.272002 | − | 0.837135i | ||||
\(647\) | −229.134 | − | 74.4503i | −0.354149 | − | 0.115070i | 0.126539 | − | 0.991962i | \(-0.459613\pi\) |
−0.480688 | + | 0.876892i | \(0.659613\pi\) | |||||||
\(648\) | 49.3786 | − | 223.718i | 0.0762015 | − | 0.345244i | ||||
\(649\) | 1383.80 | 2.13220 | ||||||||
\(650\) | 30.4437 | + | 77.6227i | 0.0468365 | + | 0.119420i | ||||
\(651\) | −62.6421 | − | 96.8731i | −0.0962243 | − | 0.148807i | ||||
\(652\) | 270.866 | − | 196.796i | 0.415438 | − | 0.301834i | ||||
\(653\) | −579.210 | − | 188.197i | −0.886998 | − | 0.288203i | −0.170138 | − | 0.985420i | \(-0.554421\pi\) |
−0.716860 | + | 0.697217i | \(0.754421\pi\) | |||||||
\(654\) | −134.133 | − | 504.523i | −0.205097 | − | 0.771442i | ||||
\(655\) | −335.302 | + | 183.630i | −0.511911 | + | 0.280351i | ||||
\(656\) | −77.8610 | + | 25.2986i | −0.118691 | + | 0.0385649i | ||||
\(657\) | 51.8312 | − | 115.204i | 0.0788907 | − | 0.175349i | ||||
\(658\) | 66.6570 | + | 205.149i | 0.101302 | + | 0.311777i | ||||
\(659\) | 21.5009 | − | 29.5935i | 0.0326266 | − | 0.0449066i | −0.792392 | − | 0.610012i | \(-0.791165\pi\) |
0.825019 | + | 0.565106i | \(0.191165\pi\) | |||||||
\(660\) | −345.633 | + | 329.095i | −0.523686 | + | 0.498628i | ||||
\(661\) | −157.492 | + | 114.425i | −0.238263 | + | 0.173108i | −0.700509 | − | 0.713643i | \(-0.747044\pi\) |
0.462246 | + | 0.886752i | \(0.347044\pi\) | |||||||
\(662\) | 14.8338 | − | 20.4170i | 0.0224075 | − | 0.0308413i | ||||
\(663\) | −201.143 | − | 10.9346i | −0.303384 | − | 0.0164926i | ||||
\(664\) | −108.879 | + | 79.1054i | −0.163975 | + | 0.119135i | ||||
\(665\) | 191.619 | + | 349.889i | 0.288148 | + | 0.526149i | ||||
\(666\) | 94.2245 | + | 164.681i | 0.141478 | + | 0.247268i | ||||
\(667\) | −305.853 | − | 941.320i | −0.458551 | − | 1.41127i | ||||
\(668\) | − | 320.475i | − | 0.479754i | ||||||
\(669\) | −740.197 | + | 910.433i | −1.10642 | + | 1.36089i | ||||
\(670\) | 7.67417 | − | 16.2404i | 0.0114540 | − | 0.0242394i | ||||
\(671\) | −149.582 | − | 48.6021i | −0.222924 | − | 0.0724323i | ||||
\(672\) | 24.6352 | + | 92.6618i | 0.0366595 | + | 0.137890i | ||||
\(673\) | −450.133 | + | 327.041i | −0.668846 | + | 0.485945i | −0.869639 | − | 0.493689i | \(-0.835648\pi\) |
0.200793 | + | 0.979634i | \(0.435648\pi\) | |||||||
\(674\) | 736.329i | 1.09248i | ||||||||
\(675\) | −273.684 | + | 617.027i | −0.405458 | + | 0.914114i | ||||
\(676\) | 326.877 | 0.483545 | ||||||||
\(677\) | 372.843 | + | 513.175i | 0.550729 | + | 0.758013i | 0.990111 | − | 0.140287i | \(-0.0448026\pi\) |
−0.439382 | + | 0.898300i | \(0.644803\pi\) | |||||||
\(678\) | 634.656 | − | 168.731i | 0.936071 | − | 0.248865i | ||||
\(679\) | 101.885 | − | 313.570i | 0.150052 | − | 0.461811i | ||||
\(680\) | −276.112 | + | 293.081i | −0.406047 | + | 0.431001i | ||||
\(681\) | −122.439 | − | 99.5452i | −0.179793 | − | 0.146175i | ||||
\(682\) | 153.124 | 0.224523 | ||||||||
\(683\) | −28.6524 | + | 9.30972i | −0.0419508 | + | 0.0136306i | −0.329917 | − | 0.944010i | \(-0.607021\pi\) |
0.287966 | + | 0.957640i | \(0.407021\pi\) | |||||||
\(684\) | 220.628 | − | 126.236i | 0.322556 | − | 0.184555i | ||||
\(685\) | 332.966 | − | 704.637i | 0.486082 | − | 1.02867i | ||||
\(686\) | −310.338 | − | 427.144i | −0.452388 | − | 0.622659i | ||||
\(687\) | 16.8608 | − | 310.156i | 0.0245426 | − | 0.451464i | ||||
\(688\) | −247.185 | − | 179.591i | −0.359281 | − | 0.261033i | ||||
\(689\) | 83.0673 | + | 114.332i | 0.120562 | + | 0.165940i | ||||
\(690\) | −125.378 | − | 940.176i | −0.181707 | − | 1.36257i | ||||
\(691\) | −874.500 | − | 635.361i | −1.26556 | − | 0.919481i | −0.266541 | − | 0.963824i | \(-0.585881\pi\) |
−0.999016 | + | 0.0443425i | \(0.985881\pi\) | |||||||
\(692\) | −252.031 | + | 81.8899i | −0.364207 | + | 0.118338i | ||||
\(693\) | 737.687 | + | 331.891i | 1.06448 | + | 0.478919i | ||||
\(694\) | 89.4252 | + | 275.222i | 0.128855 | + | 0.396574i | ||||
\(695\) | 103.484 | − | 109.844i | 0.148898 | − | 0.158049i | ||||
\(696\) | −181.525 | + | 48.2604i | −0.260811 | + | 0.0693397i | ||||
\(697\) | −180.077 | + | 554.220i | −0.258360 | + | 0.795150i | ||||
\(698\) | 360.624 | + | 496.356i | 0.516653 | + | 0.711112i | ||||
\(699\) | 8.34884 | − | 5.39870i | 0.0119440 | − | 0.00772346i | ||||
\(700\) | −16.8281 | − | 281.989i | −0.0240402 | − | 0.402842i | ||||
\(701\) | − | 66.0320i | − | 0.0941969i | −0.998890 | − | 0.0470985i | \(-0.985003\pi\) | ||
0.998890 | − | 0.0470985i | \(-0.0149975\pi\) | |||||||
\(702\) | −63.3013 | − | 64.0459i | −0.0901728 | − | 0.0912334i | ||||
\(703\) | −65.0502 | + | 200.204i | −0.0925323 | + | 0.284785i | ||||
\(704\) | −121.037 | − | 39.3274i | −0.171928 | − | 0.0558627i | ||||
\(705\) | −401.400 | + | 53.5291i | −0.569361 | + | 0.0759277i | ||||
\(706\) | −7.49866 | − | 23.0785i | −0.0106213 | − | 0.0326891i | ||||
\(707\) | 507.927i | 0.718426i | ||||||||
\(708\) | 404.964 | + | 329.243i | 0.571984 | + | 0.465032i | ||||
\(709\) | 393.486 | + | 285.884i | 0.554987 | + | 0.403222i | 0.829621 | − | 0.558327i | \(-0.188557\pi\) |
−0.274634 | + | 0.961549i | \(0.588557\pi\) | |||||||
\(710\) | −290.626 | − | 530.673i | −0.409333 | − | 0.747427i | ||||
\(711\) | 124.199 | + | 595.717i | 0.174682 | + | 0.837858i | ||||
\(712\) | −9.79925 | − | 7.11957i | −0.0137630 | − | 0.00999940i | ||||
\(713\) | −178.878 | + | 246.204i | −0.250881 | + | 0.345308i | ||||
\(714\) | 636.677 | + | 245.822i | 0.891704 | + | 0.344289i | ||||
\(715\) | 34.8525 | + | 184.318i | 0.0487447 | + | 0.257787i | ||||
\(716\) | −34.2974 | + | 47.2063i | −0.0479014 | + | 0.0659306i | ||||
\(717\) | 1093.34 | + | 888.905i | 1.52488 | + | 1.23976i | ||||
\(718\) | 433.533 | 0.603806 | ||||||||
\(719\) | −826.077 | + | 268.409i | −1.14892 | + | 0.373308i | −0.820738 | − | 0.571305i | \(-0.806438\pi\) |
−0.328187 | + | 0.944613i | \(0.606438\pi\) | |||||||
\(720\) | −179.449 | + | 14.0733i | −0.249235 | + | 0.0195463i | ||||
\(721\) | −129.359 | + | 398.128i | −0.179417 | + | 0.552188i | ||||
\(722\) | −217.324 | − | 70.6129i | −0.301003 | − | 0.0978019i | ||||
\(723\) | 596.658 | + | 230.371i | 0.825254 | + | 0.318632i | ||||
\(724\) | 303.990 | 0.419876 | ||||||||
\(725\) | 552.418 | − | 32.9664i | 0.761956 | − | 0.0454709i | ||||
\(726\) | −470.531 | + | 304.264i | −0.648115 | + | 0.419097i | ||||
\(727\) | 89.1626 | − | 64.7804i | 0.122645 | − | 0.0891065i | −0.524772 | − | 0.851243i | \(-0.675849\pi\) |
0.647417 | + | 0.762136i | \(0.275849\pi\) | |||||||
\(728\) | 35.8418 | + | 11.6457i | 0.0492332 | + | 0.0159968i | ||||
\(729\) | 8.52416 | − | 728.950i | 0.0116930 | − | 0.999932i | ||||
\(730\) | −98.4489 | − | 12.5984i | −0.134862 | − | 0.0172580i | ||||
\(731\) | −2068.39 | + | 672.062i | −2.82954 | + | 0.919373i | ||||
\(732\) | −32.2110 | − | 49.8128i | −0.0440041 | − | 0.0680503i | ||||
\(733\) | 141.605 | + | 435.814i | 0.193185 | + | 0.594562i | 0.999993 | + | 0.00374852i | \(0.00119319\pi\) |
−0.806808 | + | 0.590814i | \(0.798807\pi\) | |||||||
\(734\) | 134.224 | − | 184.743i | 0.182866 | − | 0.251694i | ||||
\(735\) | 231.051 | − | 110.681i | 0.314354 | − | 0.150586i | ||||
\(736\) | 204.627 | − | 148.670i | 0.278026 | − | 0.201998i | ||||
\(737\) | 23.7530 | − | 32.6931i | 0.0322292 | − | 0.0443598i | ||||
\(738\) | −226.107 | + | 129.371i | −0.306378 | + | 0.175299i | ||||
\(739\) | −439.130 | + | 319.046i | −0.594221 | + | 0.431727i | −0.843823 | − | 0.536621i | \(-0.819700\pi\) |
0.249602 | + | 0.968349i | \(0.419700\pi\) | |||||||
\(740\) | 102.219 | − | 108.500i | 0.138133 | − | 0.146622i | ||||
\(741\) | 5.42332 | − | 99.7627i | 0.00731892 | − | 0.134633i | ||||
\(742\) | −147.959 | − | 455.370i | −0.199405 | − | 0.613707i | ||||
\(743\) | − | 353.834i | − | 0.476224i | −0.971238 | − | 0.238112i | \(-0.923472\pi\) | ||
0.971238 | − | 0.238112i | \(-0.0765285\pi\) | |||||||
\(744\) | 44.8115 | + | 36.4324i | 0.0602305 | + | 0.0489683i | ||||
\(745\) | 37.9173 | + | 200.526i | 0.0508957 | + | 0.269163i | ||||
\(746\) | −142.154 | − | 46.1885i | −0.190554 | − | 0.0619149i | ||||
\(747\) | −287.785 | + | 317.123i | −0.385254 | + | 0.424529i | ||||
\(748\) | −732.879 | + | 532.468i | −0.979785 | + | 0.711855i | ||||
\(749\) | − | 923.715i | − | 1.23326i | ||||||
\(750\) | 526.390 | + | 64.5292i | 0.701853 | + | 0.0860389i | ||||
\(751\) | 590.148 | 0.785816 | 0.392908 | − | 0.919578i | \(-0.371469\pi\) | ||||
0.392908 | + | 0.919578i | \(0.371469\pi\) | |||||||
\(752\) | −63.4735 | − | 87.3637i | −0.0844062 | − | 0.116175i | ||||
\(753\) | −8.45517 | − | 31.8029i | −0.0112286 | − | 0.0422350i | ||||
\(754\) | −22.8139 | + | 70.2141i | −0.0302572 | + | 0.0931222i | ||||
\(755\) | 830.892 | − | 157.113i | 1.10052 | − | 0.208096i | ||||
\(756\) | 136.916 | + | 272.643i | 0.181106 | + | 0.360639i | ||||
\(757\) | −150.334 | −0.198592 | −0.0992961 | − | 0.995058i | \(-0.531659\pi\) | ||||
−0.0992961 | + | 0.995058i | \(0.531659\pi\) | |||||||
\(758\) | −398.168 | + | 129.373i | −0.525288 | + | 0.170676i | ||||
\(759\) | 115.833 | − | 2130.76i | 0.152612 | − | 2.80732i | ||||
\(760\) | −145.362 | − | 136.945i | −0.191265 | − | 0.180191i | ||||
\(761\) | 468.319 | + | 644.586i | 0.615400 | + | 0.847025i | 0.997008 | − | 0.0772992i | \(-0.0246297\pi\) |
−0.381608 | + | 0.924324i | \(0.624630\pi\) | |||||||
\(762\) | 612.624 | + | 33.3036i | 0.803969 | + | 0.0437055i | ||||
\(763\) | 562.429 | + | 408.628i | 0.737128 | + | 0.535555i | ||||
\(764\) | −191.736 | − | 263.902i | −0.250963 | − | 0.345421i | ||||
\(765\) | −669.753 | + | 1092.26i | −0.875494 | + | 1.42779i | ||||
\(766\) | 23.5054 | + | 17.0777i | 0.0306859 | + | 0.0222946i | ||||
\(767\) | 195.101 | − | 63.3921i | 0.254369 | − | 0.0826494i | ||||
\(768\) | −26.0642 | − | 40.3071i | −0.0339377 | − | 0.0524832i | ||||
\(769\) | −78.4957 | − | 241.585i | −0.102075 | − | 0.314155i | 0.886958 | − | 0.461850i | \(-0.152814\pi\) |
−0.989033 | + | 0.147696i | \(0.952814\pi\) | |||||||
\(770\) | 80.6711 | − | 630.398i | 0.104768 | − | 0.818699i | ||||
\(771\) | 389.355 | + | 1464.50i | 0.505000 | + | 1.89949i | ||||
\(772\) | −61.6271 | + | 189.669i | −0.0798278 | + | 0.245685i | ||||
\(773\) | 146.432 | + | 201.546i | 0.189433 | + | 0.260732i | 0.893161 | − | 0.449737i | \(-0.148482\pi\) |
−0.703728 | + | 0.710470i | \(0.748482\pi\) | |||||||
\(774\) | −886.615 | − | 398.894i | −1.14550 | − | 0.515367i | ||||
\(775\) | −108.038 | − | 131.457i | −0.139404 | − | 0.169621i | ||||
\(776\) | 165.059i | 0.212704i | ||||||||
\(777\) | −235.702 | − | 91.0050i | −0.303349 | − | 0.117124i | ||||
\(778\) | 277.574 | − | 854.284i | 0.356779 | − | 1.09805i | ||||
\(779\) | −274.881 | − | 89.3142i | −0.352864 | − | 0.114652i | ||||
\(780\) | −33.6547 | + | 62.2324i | −0.0431470 | + | 0.0797852i | ||||
\(781\) | −420.636 | − | 1294.58i | −0.538587 | − | 1.65760i | ||||
\(782\) | − | 1800.40i | − | 2.30230i | ||||||
\(783\) | −534.108 | + | 268.220i | −0.682130 | + | 0.342554i | ||||
\(784\) | 55.2704 | + | 40.1563i | 0.0704980 | + | 0.0512198i | ||||
\(785\) | 981.189 | − | 185.532i | 1.24992 | − | 0.236347i | ||||
\(786\) | −302.613 | − | 116.839i | −0.385004 | − | 0.148651i | ||||
\(787\) | 155.382 | + | 112.892i | 0.197436 | + | 0.143446i | 0.682111 | − | 0.731249i | \(-0.261062\pi\) |
−0.484675 | + | 0.874694i | \(0.661062\pi\) | |||||||
\(788\) | 125.605 | − | 172.880i | 0.159397 | − | 0.219391i | ||||
\(789\) | −436.046 | + | 1129.35i | −0.552656 | + | 1.43138i | ||||
\(790\) | 419.336 | − | 229.652i | 0.530805 | − | 0.290699i | ||||
\(791\) | −514.027 | + | 707.498i | −0.649845 | + | 0.894435i | ||||
\(792\) | −402.572 | − | 43.8991i | −0.508297 | − | 0.0554281i | ||||
\(793\) | −23.3159 | −0.0294022 | ||||||||
\(794\) | 46.1601 | − | 14.9983i | 0.0581361 | − | 0.0188896i | ||||
\(795\) | 890.988 | − | 118.819i | 1.12074 | − | 0.149457i | ||||
\(796\) | 84.3157 | − | 259.497i | 0.105924 | − | 0.326001i | ||||
\(797\) | −387.304 | − | 125.843i | −0.485952 | − | 0.157895i | 0.0557862 | − | 0.998443i | \(-0.482233\pi\) |
−0.541738 | + | 0.840547i | \(0.682233\pi\) | |||||||
\(798\) | −121.922 | + | 315.778i | −0.152785 | + | 0.395712i | ||||
\(799\) | −768.662 | −0.962031 | ||||||||
\(800\) | 51.6362 | + | 131.658i | 0.0645453 | + | 0.164572i | ||||
\(801\) | −35.1484 | − | 15.8135i | −0.0438806 | − | 0.0197422i | ||||
\(802\) | −565.139 | + | 410.597i | −0.704662 | + | 0.511967i | ||||
\(803\) | −212.365 | − | 69.0014i | −0.264464 | − | 0.0859295i | ||||
\(804\) | 14.7298 | − | 3.91609i | 0.0183207 | − | 0.00487076i | ||||
\(805\) | 919.360 | + | 866.132i | 1.14206 | + | 1.07594i | ||||
\(806\) | 21.5890 | − | 7.01468i | 0.0267853 | − | 0.00870307i | ||||
\(807\) | 397.076 | − | 256.765i | 0.492039 | − | 0.318172i | ||||
\(808\) | −78.5768 | − | 241.834i | −0.0972485 | − | 0.299300i | ||||
\(809\) | −940.341 | + | 1294.27i | −1.16235 | + | 1.59984i | −0.460187 | + | 0.887822i | \(0.652218\pi\) |
−0.702163 | + | 0.712016i | \(0.747782\pi\) | |||||||
\(810\) | −549.844 | + | 160.379i | −0.678820 | + | 0.197999i | ||||
\(811\) | 153.080 | − | 111.219i | 0.188755 | − | 0.137139i | −0.489394 | − | 0.872063i | \(-0.662782\pi\) |
0.678150 | + | 0.734924i | \(0.262782\pi\) | |||||||
\(812\) | 147.022 | − | 202.359i | 0.181062 | − | 0.249211i | ||||
\(813\) | 54.1836 | − | 996.714i | 0.0666464 | − | 1.22597i | ||||
\(814\) | 271.317 | − | 197.123i | 0.333313 | − | 0.242166i | ||||
\(815\) | −756.784 | − | 357.608i | −0.928569 | − | 0.438782i | ||||
\(816\) | −341.163 | − | 18.5464i | −0.418093 | − | 0.0227284i | ||||
\(817\) | −333.328 | − | 1025.88i | −0.407990 | − | 1.25566i | ||||
\(818\) | − | 981.621i | − | 1.20003i | ||||||
\(819\) | 119.210 | + | 12.9995i | 0.145556 | + | 0.0158724i | ||||
\(820\) | 148.972 | + | 140.347i | 0.181673 | + | 0.171154i | ||||
\(821\) | 276.418 | + | 89.8136i | 0.336684 | + | 0.109395i | 0.472480 | − | 0.881342i | \(-0.343359\pi\) |
−0.135796 | + | 0.990737i | \(0.543359\pi\) | |||||||
\(822\) | 639.096 | − | 169.911i | 0.777489 | − | 0.206704i | ||||
\(823\) | −1259.18 | + | 914.845i | −1.52998 | + | 1.11160i | −0.573734 | + | 0.819042i | \(0.694506\pi\) |
−0.956248 | + | 0.292556i | \(0.905494\pi\) | |||||||
\(824\) | − | 209.568i | − | 0.254331i | ||||||
\(825\) | 1136.66 | + | 362.678i | 1.37777 | + | 0.439610i | ||||
\(826\) | −695.024 | −0.841433 | ||||||||
\(827\) | −510.807 | − | 703.065i | −0.617662 | − | 0.850139i | 0.379518 | − | 0.925184i | \(-0.376090\pi\) |
−0.997180 | + | 0.0750451i | \(0.976090\pi\) | |||||||
\(828\) | 540.863 | − | 596.001i | 0.653216 | − | 0.719807i | ||||
\(829\) | 184.881 | − | 569.005i | 0.223017 | − | 0.686375i | −0.775470 | − | 0.631384i | \(-0.782487\pi\) |
0.998487 | − | 0.0549909i | \(-0.0175130\pi\) | |||||||
\(830\) | 304.202 | + | 143.747i | 0.366509 | + | 0.173189i | ||||
\(831\) | 427.499 | − | 525.819i | 0.514439 | − | 0.632754i | ||||
\(832\) | −18.8666 | −0.0226762 | ||||||||
\(833\) | 462.491 | − | 150.272i | 0.555211 | − | 0.180399i | ||||
\(834\) | 127.865 | + | 6.95103i | 0.153315 | + | 0.00833457i | ||||
\(835\) | −702.709 | + | 384.843i | −0.841567 | + | 0.460889i | ||||
\(836\) | −264.092 | − | 363.492i | −0.315900 | − | 0.434799i | ||||
\(837\) | 163.248 | + | 84.3850i | 0.195040 | + | 0.100818i | ||||
\(838\) | −717.496 | − | 521.291i | −0.856200 | − | 0.622066i | ||||
\(839\) | −632.940 | − | 871.167i | −0.754398 | − | 1.03834i | −0.997659 | − | 0.0683793i | \(-0.978217\pi\) |
0.243261 | − | 0.969961i | \(-0.421783\pi\) | |||||||
\(840\) | 173.597 | − | 165.291i | 0.206663 | − | 0.196775i | ||||
\(841\) | −283.961 | − | 206.310i | −0.337647 | − | 0.245315i | ||||
\(842\) | −192.921 | + | 62.6837i | −0.229122 | + | 0.0744462i | ||||
\(843\) | −300.425 | + | 194.267i | −0.356376 | + | 0.230447i | ||||
\(844\) | −74.4304 | − | 229.073i | −0.0881877 | − | 0.271414i | ||||
\(845\) | −392.529 | − | 716.745i | −0.464532 | − | 0.848218i | ||||
\(846\) | −254.457 | − | 230.916i | −0.300777 | − | 0.272951i | ||||
\(847\) | 230.584 | − | 709.665i | 0.272236 | − | 0.837857i | ||||
\(848\) | 140.892 | + | 193.922i | 0.166147 | + | 0.228681i | ||||
\(849\) | 242.506 | + | 375.024i | 0.285637 | + | 0.441724i | ||||
\(850\) | 974.208 | + | 253.487i | 1.14613 | + | 0.298220i | ||||
\(851\) | 666.519i | 0.783218i | ||||||||
\(852\) | 184.919 | − | 478.937i | 0.217041 | − | 0.562133i | ||||
\(853\) | −379.639 | + | 1168.41i | −0.445063 | + | 1.36976i | 0.437352 | + | 0.899291i | \(0.355917\pi\) |
−0.882415 | + | 0.470472i | \(0.844083\pi\) | |||||||
\(854\) | 75.1288 | + | 24.4108i | 0.0879728 | + | 0.0285841i | ||||
\(855\) | −541.739 | − | 332.183i | −0.633612 | − | 0.388518i | ||||
\(856\) | 142.899 | + | 439.799i | 0.166939 | + | 0.513784i | ||||
\(857\) | − | 982.101i | − | 1.14598i | −0.819564 | − | 0.572988i | \(-0.805784\pi\) | ||
0.819564 | − | 0.572988i | \(-0.194216\pi\) | |||||||
\(858\) | −100.410 | + | 123.503i | −0.117028 | + | 0.143943i | ||||
\(859\) | −262.341 | − | 190.602i | −0.305403 | − | 0.221888i | 0.424519 | − | 0.905419i | \(-0.360443\pi\) |
−0.729921 | + | 0.683531i | \(0.760443\pi\) | |||||||
\(860\) | −96.9573 | + | 757.666i | −0.112741 | + | 0.881007i | ||||
\(861\) | 124.950 | − | 323.620i | 0.145122 | − | 0.375865i | ||||
\(862\) | −33.1034 | − | 24.0510i | −0.0384030 | − | 0.0279014i | ||||
\(863\) | −149.813 | + | 206.200i | −0.173595 | + | 0.238934i | −0.886945 | − | 0.461874i | \(-0.847177\pi\) |
0.713350 | + | 0.700808i | \(0.247177\pi\) | |||||||
\(864\) | −107.367 | − | 108.630i | −0.124267 | − | 0.125729i | ||||
\(865\) | 482.212 | + | 454.293i | 0.557470 | + | 0.525194i | ||||
\(866\) | −637.492 | + | 877.433i | −0.736134 | + | 1.01320i | ||||
\(867\) | −987.261 | + | 1214.32i | −1.13871 | + | 1.40060i | ||||
\(868\) | −76.9081 | −0.0886038 | ||||||||
\(869\) | 1022.98 | − | 332.385i | 1.17719 | − | 0.382492i | ||||
\(870\) | 323.805 | + | 340.077i | 0.372189 | + | 0.390893i | ||||
\(871\) | 1.85124 | − | 5.69752i | 0.00212542 | − | 0.00654136i | ||||
\(872\) | −330.999 | − | 107.548i | −0.379586 | − | 0.123335i | ||||
\(873\) | 107.195 | + | 514.158i | 0.122789 | + | 0.588955i | ||||
\(874\) | 892.957 | 1.02169 | ||||||||
\(875\) | −598.112 | + | 375.526i | −0.683557 | + | 0.429173i | ||||
\(876\) | −45.7306 | − | 70.7203i | −0.0522039 | − | 0.0807310i | ||||
\(877\) | −205.709 | + | 149.456i | −0.234560 | + | 0.170417i | −0.698856 | − | 0.715262i | \(-0.746307\pi\) |
0.464297 | + | 0.885680i | \(0.346307\pi\) | |||||||
\(878\) | −200.729 | − | 65.2208i | −0.228621 | − | 0.0742834i | ||||
\(879\) | −384.797 | − | 1447.36i | −0.437766 | − | 1.64660i | ||||
\(880\) | 59.1140 | + | 312.625i | 0.0671750 | + | 0.355256i | ||||
\(881\) | −780.496 | + | 253.598i | −0.885920 | + | 0.287853i | −0.716413 | − | 0.697676i | \(-0.754217\pi\) |
−0.169507 | + | 0.985529i | \(0.554217\pi\) | |||||||
\(882\) | 198.246 | + | 89.1924i | 0.224769 | + | 0.101125i | ||||
\(883\) | −333.191 | − | 1025.46i | −0.377340 | − | 1.16133i | −0.941887 | − | 0.335931i | \(-0.890949\pi\) |
0.564547 | − | 0.825401i | \(-0.309051\pi\) | |||||||
\(884\) | −78.9358 | + | 108.646i | −0.0892939 | + | 0.122902i | ||||
\(885\) | 235.631 | − | 1283.34i | 0.266250 | − | 1.45010i | ||||
\(886\) | −656.506 | + | 476.979i | −0.740977 | + | 0.538351i | ||||
\(887\) | −60.8675 | + | 83.7769i | −0.0686217 | + | 0.0944497i | −0.841948 | − | 0.539558i | \(-0.818591\pi\) |
0.773327 | + | 0.634008i | \(0.218591\pi\) | |||||||
\(888\) | 126.301 | + | 6.86600i | 0.142231 | + | 0.00773199i | ||||
\(889\) | −660.984 | + | 480.233i | −0.743515 | + | 0.540195i | ||||
\(890\) | −3.84371 | + | 30.0364i | −0.00431878 | + | 0.0337488i | ||||
\(891\) | −1282.52 | + | 124.698i | −1.43942 | + | 0.139953i | ||||
\(892\) | 241.726 | + | 743.956i | 0.270993 | + | 0.834031i | ||||
\(893\) | − | 381.240i | − | 0.426920i | ||||||
\(894\) | −109.240 | + | 134.364i | −0.122192 | + | 0.150295i | ||||
\(895\) | 144.696 | + | 18.5165i | 0.161671 | + | 0.0206888i | ||||
\(896\) | 60.7920 | + | 19.7525i | 0.0678482 | + | 0.0220452i | ||||
\(897\) | −81.2794 | − | 305.721i | −0.0906124 | − | 0.340826i | ||||
\(898\) | −520.935 | + | 378.482i | −0.580106 | + | 0.421472i | ||||
\(899\) | − | 150.663i | − | 0.167590i | ||||||
\(900\) | 246.350 | + | 376.579i | 0.273722 | + | 0.418421i | ||||
\(901\) | 1706.20 | 1.89368 | ||||||||
\(902\) | 270.651 | + | 372.519i | 0.300057 | + | 0.412992i | ||||
\(903\) | 1251.21 | − | 332.649i | 1.38562 | − | 0.368382i | ||||
\(904\) | 135.288 | − | 416.374i | 0.149655 | − | 0.460591i | ||||
\(905\) | −365.047 | − | 666.562i | −0.403366 | − | 0.736532i | ||||
\(906\) | 556.743 | + | 452.641i | 0.614507 | + | 0.499604i | ||||
\(907\) | 1152.59 | 1.27078 | 0.635388 | − | 0.772193i | \(-0.280840\pi\) | ||||
0.635388 | + | 0.772193i | \(0.280840\pi\) | |||||||
\(908\) | −100.051 | + | 32.5085i | −0.110188 | + | 0.0358023i | ||||
\(909\) | −401.822 | − | 702.284i | −0.442049 | − | 0.772590i | ||||
\(910\) | −17.5049 | − | 92.5752i | −0.0192362 | − | 0.101731i | ||||
\(911\) | −356.521 | − | 490.709i | −0.391351 | − | 0.538649i | 0.567196 | − | 0.823583i | \(-0.308028\pi\) |
−0.958547 | + | 0.284934i | \(0.908028\pi\) | |||||||
\(912\) | 9.19861 | − | 169.210i | 0.0100862 | − | 0.185537i | ||||
\(913\) | 612.382 | + | 444.921i | 0.670736 | + | 0.487318i | ||||
\(914\) | 214.914 | + | 295.803i | 0.235135 | + | 0.323636i | ||||
\(915\) | −70.5444 | + | 130.447i | −0.0770977 | + | 0.142565i | ||||
\(916\) | −167.528 | − | 121.716i | −0.182891 | − | 0.132878i | ||||
\(917\) | 410.834 | − | 133.488i | 0.448020 | − | 0.145571i | ||||
\(918\) | −1074.77 | + | 163.791i | −1.17077 | + | 0.178422i | ||||
\(919\) | 183.613 | + | 565.101i | 0.199796 | + | 0.614909i | 0.999887 | + | 0.0150304i | \(0.00478451\pi\) |
−0.800091 | + | 0.599879i | \(0.795215\pi\) | |||||||
\(920\) | −571.717 | − | 270.157i | −0.621431 | − | 0.293649i | ||||
\(921\) | −776.891 | + | 206.545i | −0.843530 | + | 0.224262i | ||||
\(922\) | 290.367 | − | 893.659i | 0.314932 | − | 0.969261i | ||||
\(923\) | −118.611 | − | 163.253i | −0.128506 | − | 0.176873i | ||||
\(924\) | 452.844 | − | 292.827i | 0.490091 | − | 0.316912i | ||||
\(925\) | −360.659 | − | 93.8426i | −0.389901 | − | 0.101451i | ||||
\(926\) | 829.200i | 0.895464i | ||||||||
\(927\) | −136.101 | − | 652.806i | −0.146819 | − | 0.704214i | ||||
\(928\) | −38.6952 | + | 119.092i | −0.0416974 | + | 0.128332i | ||||
\(929\) | 972.668 | + | 316.039i | 1.04701 | + | 0.340193i | 0.781493 | − | 0.623915i | \(-0.214459\pi\) |
0.265513 | + | 0.964107i | \(0.414459\pi\) | |||||||
\(930\) | 26.0739 | − | 142.008i | 0.0280364 | − | 0.152697i | ||||
\(931\) | 74.5319 | + | 229.385i | 0.0800557 | + | 0.246386i | ||||
\(932\) | − | 6.62819i | − | 0.00711180i | ||||||
\(933\) | 497.168 | + | 404.205i | 0.532870 | + | 0.433232i | ||||
\(934\) | −789.475 | − | 573.587i | −0.845262 | − | 0.614119i | ||||
\(935\) | 2047.62 | + | 967.575i | 2.18997 | + | 1.03484i | ||||
\(936\) | −58.7694 | + | 12.2526i | −0.0627878 | + | 0.0130904i | ||||
\(937\) | 238.925 | + | 173.589i | 0.254990 | + | 0.185261i | 0.707935 | − | 0.706277i | \(-0.249627\pi\) |
−0.452946 | + | 0.891538i | \(0.649627\pi\) | |||||||
\(938\) | −11.9301 | + | 16.4204i | −0.0127187 | + | 0.0175058i | ||||
\(939\) | −356.913 | − | 137.805i | −0.380099 | − | 0.146757i | ||||
\(940\) | −115.341 | + | 244.089i | −0.122703 | + | 0.259670i | ||||
\(941\) | −360.338 | + | 495.963i | −0.382931 | + | 0.527060i | −0.956358 | − | 0.292197i | \(-0.905614\pi\) |
0.573427 | + | 0.819257i | \(0.305614\pi\) | |||||||
\(942\) | 657.451 | + | 534.518i | 0.697931 | + | 0.567429i | ||||
\(943\) | −915.133 | −0.970449 | ||||||||
\(944\) | 330.915 | − | 107.521i | 0.350545 | − | 0.113899i | ||||
\(945\) | 433.410 | − | 627.620i | 0.458634 | − | 0.664149i | ||||
\(946\) | −531.037 | + | 1634.36i | −0.561350 | + | 1.72766i | ||||
\(947\) | 843.070 | + | 273.930i | 0.890253 | + | 0.289261i | 0.718208 | − | 0.695828i | \(-0.244963\pi\) |
0.172045 | + | 0.985089i | \(0.444963\pi\) | |||||||
\(948\) | 378.455 | + | 146.122i | 0.399214 | + | 0.154137i | ||||
\(949\) | −33.1022 | −0.0348811 | ||||||||
\(950\) | −125.724 | + | 483.186i | −0.132341 | + | 0.508617i | ||||
\(951\) | 865.927 | − | 559.943i | 0.910544 | − | 0.588794i | ||||
\(952\) | 368.095 | − | 267.436i | 0.386654 | − | 0.280921i | ||||
\(953\) | 992.168 | + | 322.375i | 1.04110 | + | 0.338274i | 0.779170 | − | 0.626813i | \(-0.215641\pi\) |
0.261930 | + | 0.965087i | \(0.415641\pi\) | |||||||
\(954\) | 564.819 | + | 512.566i | 0.592054 | + | 0.537281i | ||||
\(955\) | −348.413 | + | 737.327i | −0.364831 | + | 0.772070i | ||||
\(956\) | 893.419 | − | 290.290i | 0.934539 | − | 0.303650i | ||||
\(957\) | 573.649 | + | 887.122i | 0.599424 | + | 0.926983i | ||||
\(958\) | −175.211 | − | 539.243i | −0.182892 | − | 0.562884i | ||||
\(959\) | −517.623 | + | 712.447i | −0.539753 | + | 0.742906i | ||||
\(960\) | −57.0824 | + | 105.554i | −0.0594609 | + | 0.109952i | ||||
\(961\) | 739.988 | − | 537.633i | 0.770018 | − | 0.559451i | ||||
\(962\) | 29.2226 | − | 40.2214i | 0.0303769 | − | 0.0418102i | ||||
\(963\) | 730.753 | + | 1277.17i | 0.758830 | + | 1.32624i | ||||
\(964\) | 344.958 | − | 250.627i | 0.357840 | − | 0.259986i | ||||
\(965\) | 489.893 | − | 92.6333i | 0.507661 | − | 0.0959930i | ||||
\(966\) | −58.1779 | + | 1070.19i | −0.0602256 | + | 1.10786i | ||||
\(967\) | 118.040 | + | 363.291i | 0.122069 | + | 0.375688i | 0.993356 | − | 0.115085i | \(-0.0367141\pi\) |
−0.871287 | + | 0.490774i | \(0.836714\pi\) | |||||||
\(968\) | 373.557i | 0.385906i | ||||||||
\(969\) | −935.931 | − | 760.927i | −0.965873 | − | 0.785270i | ||||
\(970\) | 361.925 | − | 198.210i | 0.373118 | − | 0.204341i | ||||
\(971\) | −76.9820 | − | 25.0130i | −0.0792811 | − | 0.0257600i | 0.269108 | − | 0.963110i | \(-0.413271\pi\) |
−0.348389 | + | 0.937350i | \(0.613271\pi\) | |||||||
\(972\) | −404.995 | − | 268.654i | −0.416662 | − | 0.276393i | ||||
\(973\) | −137.959 | + | 100.233i | −0.141787 | + | 0.103014i | ||||
\(974\) | 703.671i | 0.722454i | ||||||||
\(975\) | 176.872 | − | 0.936909i | 0.181407 | − | 0.000960933i | ||||
\(976\) | −39.5467 | −0.0405191 | ||||||||
\(977\) | 190.135 | + | 261.699i | 0.194611 | + | 0.267859i | 0.895160 | − | 0.445745i | \(-0.147061\pi\) |
−0.700549 | + | 0.713605i | \(0.747061\pi\) | |||||||
\(978\) | −182.485 | − | 686.392i | −0.186590 | − | 0.701833i | ||||
\(979\) | −21.0521 | + | 64.7917i | −0.0215037 | + | 0.0661815i | ||||
\(980\) | 21.6796 | − | 169.413i | 0.0221220 | − | 0.172871i | ||||
\(981\) | −1100.91 | − | 120.050i | −1.12223 | − | 0.122375i | ||||
\(982\) | −162.286 | −0.165261 | ||||||||
\(983\) | −10.0362 | + | 3.26097i | −0.0102098 | + | 0.00331737i | −0.314117 | − | 0.949384i | \(-0.601709\pi\) |
0.303908 | + | 0.952701i | \(0.401709\pi\) | |||||||
\(984\) | −9.42706 | + | 173.412i | −0.00958034 | + | 0.176232i | ||||
\(985\) | −529.907 | − | 67.8114i | −0.537976 | − | 0.0688440i | ||||
\(986\) | 523.909 | + | 721.099i | 0.531348 | + | 0.731337i | ||||
\(987\) | 456.908 | + | 24.8385i | 0.462926 | + | 0.0251657i | ||||
\(988\) | −53.8859 | − | 39.1504i | −0.0545404 | − | 0.0396259i | ||||
\(989\) | −2007.49 | − | 2763.08i | −2.02982 | − | 2.79381i | ||||
\(990\) | 387.170 | + | 935.437i | 0.391081 | + | 0.944886i | ||||
\(991\) | −112.830 | − | 81.9761i | −0.113855 | − | 0.0827206i | 0.529401 | − | 0.848372i | \(-0.322417\pi\) |
−0.643256 | + | 0.765651i | \(0.722417\pi\) | |||||||
\(992\) | 36.6175 | − | 11.8977i | 0.0369128 | − | 0.0119937i | ||||
\(993\) | −29.0698 | − | 44.9552i | −0.0292747 | − | 0.0452721i | ||||
\(994\) | 211.268 | + | 650.216i | 0.212543 | + | 0.654141i | ||||
\(995\) | −670.251 | + | 126.737i | −0.673619 | + | 0.127374i | ||||
\(996\) | 73.3531 | + | 275.907i | 0.0736477 | + | 0.277015i | ||||
\(997\) | −8.62044 | + | 26.5310i | −0.00864638 | + | 0.0266108i | −0.955287 | − | 0.295681i | \(-0.904453\pi\) |
0.946640 | + | 0.322292i | \(0.104453\pi\) | |||||||
\(998\) | 27.8537 | + | 38.3374i | 0.0279095 | + | 0.0384142i | ||||
\(999\) | 397.887 | − | 60.6366i | 0.398285 | − | 0.0606973i |
(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 | 150.3.j.a.11.1 | ✓ | 80 | |
3.2 | odd | 2 | inner | 150.3.j.a.11.18 | yes | 80 | |
25.16 | even | 5 | inner | 150.3.j.a.41.18 | yes | 80 | |
75.41 | odd | 10 | inner | 150.3.j.a.41.1 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.3.j.a.11.1 | ✓ | 80 | 1.1 | even | 1 | trivial | |
150.3.j.a.11.18 | yes | 80 | 3.2 | odd | 2 | inner | |
150.3.j.a.41.1 | yes | 80 | 75.41 | odd | 10 | inner | |
150.3.j.a.41.18 | yes | 80 | 25.16 | even | 5 | inner |