Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(59,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 11, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.bd (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(1280\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 59.5 | ||
Character | \(\chi\) | \(=\) | 966.59 |
Dual form | 966.2.bd.a.131.5 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.945001 | − | 0.327068i | −0.668216 | − | 0.231272i | ||||
\(3\) | −1.49813 | − | 0.869251i | −0.864948 | − | 0.501862i | ||||
\(4\) | 0.786053 | + | 0.618159i | 0.393027 | + | 0.309079i | ||||
\(5\) | 2.42488 | − | 0.231548i | 1.08444 | − | 0.103551i | 0.462501 | − | 0.886619i | \(-0.346952\pi\) |
0.621937 | + | 0.783068i | \(0.286346\pi\) | |||||||
\(6\) | 1.13143 | + | 1.31143i | 0.461906 | + | 0.535391i | ||||
\(7\) | −1.25611 | + | 2.32856i | −0.474765 | + | 0.880113i | ||||
\(8\) | −0.540641 | − | 0.841254i | −0.191145 | − | 0.297428i | ||||
\(9\) | 1.48881 | + | 2.60451i | 0.496269 | + | 0.868169i | ||||
\(10\) | −2.36724 | − | 0.574287i | −0.748588 | − | 0.181605i | ||||
\(11\) | −4.14167 | + | 1.43345i | −1.24876 | + | 0.432200i | −0.869888 | − | 0.493249i | \(-0.835809\pi\) |
−0.378872 | + | 0.925449i | \(0.623688\pi\) | |||||||
\(12\) | −0.640277 | − | 1.60936i | −0.184832 | − | 0.464583i | ||||
\(13\) | −1.78398 | − | 6.07567i | −0.494787 | − | 1.68509i | −0.706464 | − | 0.707749i | \(-0.749711\pi\) |
0.211678 | − | 0.977340i | \(-0.432107\pi\) | |||||||
\(14\) | 1.94862 | − | 1.78966i | 0.520791 | − | 0.478306i | ||||
\(15\) | −3.83406 | − | 1.76094i | −0.989950 | − | 0.454672i | ||||
\(16\) | 0.235759 | + | 0.971812i | 0.0589397 | + | 0.242953i | ||||
\(17\) | 4.29130 | + | 1.71798i | 1.04079 | + | 0.416670i | 0.828178 | − | 0.560466i | \(-0.189378\pi\) |
0.212615 | + | 0.977136i | \(0.431802\pi\) | |||||||
\(18\) | −0.555073 | − | 2.94820i | −0.130832 | − | 0.694898i | ||||
\(19\) | −2.09347 | − | 5.22924i | −0.480276 | − | 1.19967i | −0.948703 | − | 0.316169i | \(-0.897603\pi\) |
0.468427 | − | 0.883502i | \(-0.344821\pi\) | |||||||
\(20\) | 2.04921 | + | 1.31695i | 0.458218 | + | 0.294479i | ||||
\(21\) | 3.90592 | − | 2.39662i | 0.852342 | − | 0.522985i | ||||
\(22\) | 4.38271 | 0.934398 | ||||||||
\(23\) | 4.43905 | + | 1.81517i | 0.925606 | + | 0.378489i | ||||
\(24\) | 0.0786919 | + | 1.73026i | 0.0160629 | + | 0.353188i | ||||
\(25\) | 0.916766 | − | 0.176692i | 0.183353 | − | 0.0353384i | ||||
\(26\) | −0.301297 | + | 6.32500i | −0.0590892 | + | 1.24043i | ||||
\(27\) | 0.0335372 | − | 5.19604i | 0.00645424 | − | 0.999979i | ||||
\(28\) | −2.42679 | + | 1.05390i | −0.458620 | + | 0.199168i | ||||
\(29\) | 4.18955 | − | 0.602367i | 0.777980 | − | 0.111857i | 0.258126 | − | 0.966111i | \(-0.416895\pi\) |
0.519855 | + | 0.854255i | \(0.325986\pi\) | |||||||
\(30\) | 3.04724 | + | 2.91808i | 0.556348 | + | 0.532767i | ||||
\(31\) | −0.0814217 | + | 0.00387859i | −0.0146238 | + | 0.000696616i | −0.0548925 | − | 0.998492i | \(-0.517482\pi\) |
0.0402688 | + | 0.999189i | \(0.487179\pi\) | |||||||
\(32\) | 0.0950560 | − | 0.995472i | 0.0168037 | − | 0.175976i | ||||
\(33\) | 7.45079 | + | 1.45266i | 1.29702 | + | 0.252875i | ||||
\(34\) | −3.49338 | − | 3.02703i | −0.599111 | − | 0.519132i | ||||
\(35\) | −2.50674 | + | 5.93732i | −0.423716 | + | 1.00359i | ||||
\(36\) | −0.439718 | + | 2.96760i | −0.0732863 | + | 0.494600i | ||||
\(37\) | 4.00721 | − | 5.62734i | 0.658782 | − | 0.925129i | −0.341108 | − | 0.940024i | \(-0.610802\pi\) |
0.999889 | + | 0.0148951i | \(0.00474142\pi\) | |||||||
\(38\) | 0.268016 | + | 5.62635i | 0.0434779 | + | 0.912714i | ||||
\(39\) | −2.60864 | + | 10.6529i | −0.417717 | + | 1.70583i | ||||
\(40\) | −1.50578 | − | 1.91475i | −0.238084 | − | 0.302749i | ||||
\(41\) | 1.57973 | − | 3.45913i | 0.246712 | − | 0.540225i | −0.745246 | − | 0.666790i | \(-0.767668\pi\) |
0.991958 | + | 0.126565i | \(0.0403952\pi\) | |||||||
\(42\) | −4.47496 | + | 0.987304i | −0.690501 | + | 0.152344i | ||||
\(43\) | 8.70754 | + | 5.59600i | 1.32789 | + | 0.853382i | 0.995949 | − | 0.0899191i | \(-0.0286608\pi\) |
0.331939 | + | 0.943301i | \(0.392297\pi\) | |||||||
\(44\) | −4.14167 | − | 1.43345i | −0.624380 | − | 0.216100i | ||||
\(45\) | 4.21324 | + | 5.97088i | 0.628073 | + | 0.890086i | ||||
\(46\) | −3.60122 | − | 3.16721i | −0.530971 | − | 0.466979i | ||||
\(47\) | 0.302375 | + | 0.523729i | 0.0441060 | + | 0.0763937i | 0.887236 | − | 0.461317i | \(-0.152623\pi\) |
−0.843130 | + | 0.537710i | \(0.819289\pi\) | |||||||
\(48\) | 0.491549 | − | 1.66084i | 0.0709490 | − | 0.239721i | ||||
\(49\) | −3.84438 | − | 5.84985i | −0.549197 | − | 0.835693i | ||||
\(50\) | −0.924135 | − | 0.132871i | −0.130692 | − | 0.0187907i | ||||
\(51\) | −4.93558 | − | 6.30397i | −0.691120 | − | 0.882732i | ||||
\(52\) | 2.35343 | − | 5.87858i | 0.326362 | − | 0.815213i | ||||
\(53\) | 2.66343 | + | 2.79333i | 0.365850 | + | 0.383693i | 0.880769 | − | 0.473546i | \(-0.157026\pi\) |
−0.514919 | + | 0.857239i | \(0.672178\pi\) | |||||||
\(54\) | −1.73115 | + | 4.89930i | −0.235580 | + | 0.666710i | ||||
\(55\) | −9.71112 | + | 4.43492i | −1.30945 | + | 0.598004i | ||||
\(56\) | 2.63801 | − | 0.202207i | 0.352519 | − | 0.0270211i | ||||
\(57\) | −1.40922 | + | 9.65386i | −0.186656 | + | 1.27868i | ||||
\(58\) | −4.15614 | − | 0.801031i | −0.545729 | − | 0.105181i | ||||
\(59\) | 2.30257 | − | 9.49134i | 0.299770 | − | 1.23567i | −0.600248 | − | 0.799814i | \(-0.704932\pi\) |
0.900018 | − | 0.435853i | \(-0.143553\pi\) | |||||||
\(60\) | −1.92524 | − | 3.75425i | −0.248547 | − | 0.484671i | ||||
\(61\) | 5.44389 | − | 10.5597i | 0.697019 | − | 1.35203i | −0.228581 | − | 0.973525i | \(-0.573409\pi\) |
0.925600 | − | 0.378503i | \(-0.123561\pi\) | |||||||
\(62\) | 0.0782121 | + | 0.0229652i | 0.00993295 | + | 0.00291658i | ||||
\(63\) | −7.93485 | + | 0.195229i | −0.999697 | + | 0.0245965i | ||||
\(64\) | −0.415415 | + | 0.909632i | −0.0519269 | + | 0.113704i | ||||
\(65\) | −5.73273 | − | 14.3197i | −0.711058 | − | 1.77614i | ||||
\(66\) | −6.56589 | − | 3.80968i | −0.808205 | − | 0.468939i | ||||
\(67\) | 8.79343 | − | 1.69480i | 1.07429 | − | 0.207052i | 0.378720 | − | 0.925511i | \(-0.376364\pi\) |
0.695569 | + | 0.718459i | \(0.255152\pi\) | |||||||
\(68\) | 2.31121 | + | 4.00312i | 0.280275 | + | 0.485450i | ||||
\(69\) | −5.07245 | − | 6.57801i | −0.610652 | − | 0.791899i | ||||
\(70\) | 4.31078 | − | 4.79090i | 0.515236 | − | 0.572621i | ||||
\(71\) | 4.81103 | − | 4.16878i | 0.570964 | − | 0.494743i | −0.320860 | − | 0.947127i | \(-0.603972\pi\) |
0.891823 | + | 0.452384i | \(0.149426\pi\) | |||||||
\(72\) | 1.38614 | − | 2.66057i | 0.163358 | − | 0.313551i | ||||
\(73\) | −3.74486 | + | 4.76198i | −0.438303 | + | 0.557348i | −0.954148 | − | 0.299334i | \(-0.903236\pi\) |
0.515845 | + | 0.856682i | \(0.327478\pi\) | |||||||
\(74\) | −5.62734 | + | 4.00721i | −0.654165 | + | 0.465829i | ||||
\(75\) | −1.52703 | − | 0.532191i | −0.176326 | − | 0.0614521i | ||||
\(76\) | 1.58692 | − | 5.40456i | 0.182033 | − | 0.619946i | ||||
\(77\) | 1.86453 | − | 11.4447i | 0.212483 | − | 1.30424i | ||||
\(78\) | 5.94939 | − | 9.21379i | 0.673636 | − | 1.04326i | ||||
\(79\) | −9.31441 | − | 8.88127i | −1.04795 | − | 0.999221i | −1.00000 | 0.000371896i | \(-0.999882\pi\) | |
−0.0479534 | − | 0.998850i | \(-0.515270\pi\) | |||||||
\(80\) | 0.796707 | + | 2.30193i | 0.0890745 | + | 0.257364i | ||||
\(81\) | −4.56691 | + | 7.75521i | −0.507434 | + | 0.861691i | ||||
\(82\) | −2.62421 | + | 2.75220i | −0.289796 | + | 0.303929i | ||||
\(83\) | −3.37151 | − | 7.38257i | −0.370071 | − | 0.810342i | −0.999447 | − | 0.0332415i | \(-0.989417\pi\) |
0.629377 | − | 0.777100i | \(-0.283310\pi\) | |||||||
\(84\) | 4.55175 | + | 0.530611i | 0.496637 | + | 0.0578945i | ||||
\(85\) | 10.8037 | + | 3.17224i | 1.17182 | + | 0.344078i | ||||
\(86\) | −6.39836 | − | 8.13618i | −0.689953 | − | 0.877347i | ||||
\(87\) | −6.80011 | − | 2.73934i | −0.729049 | − | 0.293689i | ||||
\(88\) | 3.44505 | + | 2.70921i | 0.367243 | + | 0.288803i | ||||
\(89\) | 0.00832128 | − | 0.174685i | 0.000882054 | − | 0.0185166i | −0.998383 | − | 0.0568382i | \(-0.981898\pi\) |
0.999265 | + | 0.0383216i | \(0.0122011\pi\) | |||||||
\(90\) | −2.02863 | − | 7.02050i | −0.213837 | − | 0.740025i | ||||
\(91\) | 16.3884 | + | 3.47761i | 1.71797 | + | 0.364553i | ||||
\(92\) | 2.36727 | + | 4.17086i | 0.246805 | + | 0.434842i | ||||
\(93\) | 0.125352 | + | 0.0649652i | 0.0129984 | + | 0.00673658i | ||||
\(94\) | −0.114450 | − | 0.593822i | −0.0118046 | − | 0.0612480i | ||||
\(95\) | −6.28723 | − | 12.1955i | −0.645056 | − | 1.25124i | ||||
\(96\) | −1.00772 | + | 1.40872i | −0.102850 | + | 0.143777i | ||||
\(97\) | 14.4719 | + | 6.60911i | 1.46940 | + | 0.671053i | 0.979633 | − | 0.200798i | \(-0.0643536\pi\) |
0.489770 | + | 0.871852i | \(0.337081\pi\) | |||||||
\(98\) | 1.71964 | + | 6.78549i | 0.173710 | + | 0.685438i | ||||
\(99\) | −9.89956 | − | 8.65288i | −0.994943 | − | 0.869647i | ||||
\(100\) | 0.829851 | + | 0.427818i | 0.0829851 | + | 0.0427818i | ||||
\(101\) | 10.8080 | + | 1.03204i | 1.07543 | + | 0.102691i | 0.617712 | − | 0.786404i | \(-0.288060\pi\) |
0.457721 | + | 0.889096i | \(0.348666\pi\) | |||||||
\(102\) | 2.60230 | + | 7.57153i | 0.257666 | + | 0.749693i | ||||
\(103\) | 1.53562 | − | 7.96756i | 0.151309 | − | 0.785067i | −0.824402 | − | 0.566005i | \(-0.808488\pi\) |
0.975711 | − | 0.219062i | \(-0.0702997\pi\) | |||||||
\(104\) | −4.14669 | + | 4.78553i | −0.406616 | + | 0.469260i | ||||
\(105\) | 8.91644 | − | 6.71591i | 0.870156 | − | 0.655406i | ||||
\(106\) | −1.60334 | − | 3.51082i | −0.155730 | − | 0.341001i | ||||
\(107\) | −2.52611 | + | 4.89997i | −0.244208 | + | 0.473698i | −0.978802 | − | 0.204809i | \(-0.934343\pi\) |
0.734594 | + | 0.678507i | \(0.237373\pi\) | |||||||
\(108\) | 3.23834 | − | 4.06364i | 0.311610 | − | 0.391023i | ||||
\(109\) | −14.1739 | − | 5.67436i | −1.35761 | − | 0.543505i | −0.425263 | − | 0.905070i | \(-0.639818\pi\) |
−0.932347 | + | 0.361564i | \(0.882243\pi\) | |||||||
\(110\) | 10.6275 | − | 1.01481i | 1.01330 | − | 0.0967580i | ||||
\(111\) | −10.8949 | + | 4.94724i | −1.03410 | + | 0.469571i | ||||
\(112\) | −2.55906 | − | 0.671723i | −0.241808 | − | 0.0634719i | ||||
\(113\) | −5.31982 | + | 4.60965i | −0.500446 | + | 0.433639i | −0.868149 | − | 0.496304i | \(-0.834690\pi\) |
0.367702 | + | 0.929944i | \(0.380145\pi\) | |||||||
\(114\) | 4.48918 | − | 8.66199i | 0.420450 | − | 0.811270i | ||||
\(115\) | 11.1844 | + | 3.37370i | 1.04295 | + | 0.314600i | ||||
\(116\) | 3.66557 | + | 2.11632i | 0.340339 | + | 0.196495i | ||||
\(117\) | 13.1681 | − | 13.6919i | 1.21739 | − | 1.26582i | ||||
\(118\) | −5.28025 | + | 8.21622i | −0.486086 | + | 0.756365i | ||||
\(119\) | −9.39075 | + | 7.83457i | −0.860849 | + | 0.718194i | ||||
\(120\) | 0.591456 | + | 4.17745i | 0.0539923 | + | 0.381347i | ||||
\(121\) | 6.45206 | − | 5.07396i | 0.586551 | − | 0.461269i | ||||
\(122\) | −8.59822 | + | 8.19838i | −0.778446 | + | 0.742247i | ||||
\(123\) | −5.37349 | + | 3.80905i | −0.484511 | + | 0.343450i | ||||
\(124\) | −0.0663994 | − | 0.0472828i | −0.00596284 | − | 0.00424612i | ||||
\(125\) | −9.50404 | + | 2.79064i | −0.850067 | + | 0.249602i | ||||
\(126\) | 7.56230 | + | 2.41074i | 0.673703 | + | 0.214766i | ||||
\(127\) | 1.10651 | − | 1.27698i | 0.0981866 | − | 0.113313i | −0.704530 | − | 0.709675i | \(-0.748842\pi\) |
0.802716 | + | 0.596361i | \(0.203387\pi\) | |||||||
\(128\) | 0.690079 | − | 0.723734i | 0.0609949 | − | 0.0639697i | ||||
\(129\) | −8.18074 | − | 15.9526i | −0.720274 | − | 1.40455i | ||||
\(130\) | 0.733931 | + | 15.4071i | 0.0643700 | + | 1.35129i | ||||
\(131\) | 2.97668 | + | 12.2701i | 0.260074 | + | 1.07204i | 0.940654 | + | 0.339367i | \(0.110213\pi\) |
−0.680580 | + | 0.732674i | \(0.738272\pi\) | |||||||
\(132\) | 4.95875 | + | 5.74764i | 0.431604 | + | 0.500268i | ||||
\(133\) | 14.8062 | + | 1.69373i | 1.28386 | + | 0.146865i | ||||
\(134\) | −8.86412 | − | 1.27447i | −0.765743 | − | 0.110097i | ||||
\(135\) | −1.12181 | − | 12.6075i | −0.0965498 | − | 1.08508i | ||||
\(136\) | −0.874797 | − | 4.53888i | −0.0750132 | − | 0.389206i | ||||
\(137\) | −17.4997 | − | 10.1035i | −1.49510 | − | 0.863199i | −0.495120 | − | 0.868825i | \(-0.664876\pi\) |
−0.999984 | + | 0.00562571i | \(0.998209\pi\) | |||||||
\(138\) | 2.64202 | + | 7.87526i | 0.224903 | + | 0.670387i | ||||
\(139\) | − | 7.88228i | − | 0.668566i | −0.942473 | − | 0.334283i | \(-0.891506\pi\) | ||
0.942473 | − | 0.334283i | \(-0.108494\pi\) | |||||||
\(140\) | −5.64064 | + | 3.11748i | −0.476721 | + | 0.263475i | ||||
\(141\) | 0.00225353 | − | 1.04746i | 0.000189782 | − | 0.0882117i | ||||
\(142\) | −5.90990 | + | 2.36597i | −0.495947 | + | 0.198547i | ||||
\(143\) | 16.0978 | + | 22.6062i | 1.34616 | + | 1.89042i | ||||
\(144\) | −2.18009 | + | 2.06088i | −0.181674 | + | 0.171740i | ||||
\(145\) | 10.0197 | − | 2.43074i | 0.832088 | − | 0.201862i | ||||
\(146\) | 5.09639 | − | 3.27525i | 0.421780 | − | 0.271062i | ||||
\(147\) | 0.674400 | + | 12.1056i | 0.0556236 | + | 0.998452i | ||||
\(148\) | 6.62847 | − | 1.94630i | 0.544857 | − | 0.159984i | ||||
\(149\) | 3.09588 | − | 16.0629i | 0.253624 | − | 1.31593i | −0.602070 | − | 0.798444i | \(-0.705657\pi\) |
0.855694 | − | 0.517483i | \(-0.173131\pi\) | |||||||
\(150\) | 1.26898 | + | 1.00236i | 0.103612 | + | 0.0818426i | ||||
\(151\) | 1.42455 | − | 5.87208i | 0.115928 | − | 0.477863i | −0.884018 | − | 0.467454i | \(-0.845171\pi\) |
0.999946 | − | 0.0104091i | \(-0.00331337\pi\) | |||||||
\(152\) | −3.26730 | + | 4.58829i | −0.265013 | + | 0.372159i | ||||
\(153\) | 1.91443 | + | 13.7344i | 0.154773 | + | 1.11036i | ||||
\(154\) | −5.50517 | + | 10.2054i | −0.443619 | + | 0.822375i | ||||
\(155\) | −0.196539 | + | 0.0282581i | −0.0157864 | + | 0.00226975i | ||||
\(156\) | −8.63571 | + | 6.76118i | −0.691410 | + | 0.541328i | ||||
\(157\) | −2.55894 | + | 3.25396i | −0.204226 | + | 0.259694i | −0.877367 | − | 0.479820i | \(-0.840702\pi\) |
0.673141 | + | 0.739514i | \(0.264945\pi\) | |||||||
\(158\) | 5.89735 | + | 11.4393i | 0.469168 | + | 0.910058i | ||||
\(159\) | −1.56207 | − | 6.49996i | −0.123881 | − | 0.515481i | ||||
\(160\) | − | 2.43591i | − | 0.192575i | ||||||
\(161\) | −9.80266 | + | 8.05654i | −0.772558 | + | 0.634944i | ||||
\(162\) | 6.85221 | − | 5.83500i | 0.538361 | − | 0.458441i | ||||
\(163\) | −0.131889 | + | 0.381068i | −0.0103303 | + | 0.0298476i | −0.950048 | − | 0.312103i | \(-0.898966\pi\) |
0.939718 | + | 0.341951i | \(0.111088\pi\) | |||||||
\(164\) | 3.38004 | − | 1.74253i | 0.263937 | − | 0.136069i | ||||
\(165\) | 18.4036 | + | 1.79730i | 1.43272 | + | 0.139919i | ||||
\(166\) | 0.771474 | + | 8.07924i | 0.0598780 | + | 0.627071i | ||||
\(167\) | 1.85979 | + | 12.9351i | 0.143915 | + | 1.00095i | 0.925931 | + | 0.377692i | \(0.123282\pi\) |
−0.782017 | + | 0.623258i | \(0.785809\pi\) | |||||||
\(168\) | −4.12786 | − | 1.99016i | −0.318472 | − | 0.153544i | ||||
\(169\) | −22.7949 | + | 14.6494i | −1.75346 | + | 1.12688i | ||||
\(170\) | −9.17193 | − | 6.53130i | −0.703455 | − | 0.500928i | ||||
\(171\) | 10.5028 | − | 13.2378i | 0.803171 | − | 1.01232i | ||||
\(172\) | 3.38537 | + | 9.78140i | 0.258132 | + | 0.745825i | ||||
\(173\) | −14.6529 | − | 2.82411i | −1.11404 | − | 0.214713i | −0.401163 | − | 0.916007i | \(-0.631394\pi\) |
−0.712872 | + | 0.701294i | \(0.752606\pi\) | |||||||
\(174\) | 5.53016 | + | 4.81278i | 0.419241 | + | 0.364856i | ||||
\(175\) | −0.740121 | + | 2.35669i | −0.0559479 | + | 0.178149i | ||||
\(176\) | −2.36947 | − | 3.68697i | −0.178606 | − | 0.277916i | ||||
\(177\) | −11.6999 | + | 12.2178i | −0.879419 | + | 0.918344i | ||||
\(178\) | −0.0649975 | + | 0.162356i | −0.00487177 | + | 0.0121691i | ||||
\(179\) | −11.5429 | + | 8.21968i | −0.862759 | + | 0.614368i | −0.923420 | − | 0.383791i | \(-0.874618\pi\) |
0.0606613 | + | 0.998158i | \(0.480679\pi\) | |||||||
\(180\) | −0.379120 | + | 7.29788i | −0.0282580 | + | 0.543952i | ||||
\(181\) | −4.82572 | + | 7.50896i | −0.358693 | + | 0.558137i | −0.972964 | − | 0.230958i | \(-0.925814\pi\) |
0.614271 | + | 0.789095i | \(0.289450\pi\) | |||||||
\(182\) | −14.3497 | − | 8.64648i | −1.06367 | − | 0.640920i | ||||
\(183\) | −17.3347 | + | 11.0877i | −1.28142 | + | 0.819626i | ||||
\(184\) | −0.872916 | − | 4.71572i | −0.0643522 | − | 0.347648i | ||||
\(185\) | 8.41399 | − | 14.5735i | 0.618609 | − | 1.07146i | ||||
\(186\) | −0.0972097 | − | 0.102391i | −0.00712776 | − | 0.00750766i | ||||
\(187\) | −20.2358 | − | 0.963948i | −1.47978 | − | 0.0704908i | ||||
\(188\) | −0.0860649 | + | 0.598595i | −0.00627693 | + | 0.0436570i | ||||
\(189\) | 12.0572 | + | 6.60490i | 0.877030 | + | 0.480435i | ||||
\(190\) | 1.95267 | + | 13.5811i | 0.141662 | + | 0.985279i | ||||
\(191\) | 17.7903 | − | 4.31587i | 1.28726 | − | 0.312286i | 0.466989 | − | 0.884263i | \(-0.345339\pi\) |
0.820269 | + | 0.571977i | \(0.193823\pi\) | |||||||
\(192\) | 1.41305 | − | 1.00165i | 0.101978 | − | 0.0722879i | ||||
\(193\) | 19.9527 | + | 1.90525i | 1.43623 | + | 0.137143i | 0.783943 | − | 0.620832i | \(-0.213205\pi\) |
0.652283 | + | 0.757975i | \(0.273811\pi\) | |||||||
\(194\) | −11.5144 | − | 10.9789i | −0.826683 | − | 0.788240i | ||||
\(195\) | −3.85899 | + | 26.4360i | −0.276348 | + | 1.89312i | ||||
\(196\) | 0.594255 | − | 6.97473i | 0.0424468 | − | 0.498195i | ||||
\(197\) | 2.70486 | + | 9.21189i | 0.192713 | + | 0.656320i | 0.997987 | + | 0.0634174i | \(0.0202000\pi\) |
−0.805274 | + | 0.592903i | \(0.797982\pi\) | |||||||
\(198\) | 6.52501 | + | 11.4148i | 0.463713 | + | 0.811215i | ||||
\(199\) | 13.6988 | − | 0.652552i | 0.971079 | − | 0.0462582i | 0.443957 | − | 0.896048i | \(-0.353574\pi\) |
0.527122 | + | 0.849790i | \(0.323271\pi\) | |||||||
\(200\) | −0.644284 | − | 0.675706i | −0.0455578 | − | 0.0477796i | ||||
\(201\) | −14.6469 | − | 5.10467i | −1.03312 | − | 0.360055i | ||||
\(202\) | −9.87599 | − | 4.51022i | −0.694873 | − | 0.317338i | ||||
\(203\) | −3.85989 | + | 10.5123i | −0.270911 | + | 0.737816i | ||||
\(204\) | 0.0172249 | − | 8.00623i | 0.00120598 | − | 0.560548i | ||||
\(205\) | 3.02970 | − | 8.75373i | 0.211603 | − | 0.611387i | ||||
\(206\) | −4.05710 | + | 7.02710i | −0.282671 | + | 0.489601i | ||||
\(207\) | 1.88127 | + | 14.2640i | 0.130758 | + | 0.991414i | ||||
\(208\) | 5.48382 | − | 3.16608i | 0.380234 | − | 0.219528i | ||||
\(209\) | 16.1663 | + | 18.6569i | 1.11825 | + | 1.29053i | ||||
\(210\) | −10.6226 | + | 3.43026i | −0.733029 | + | 0.236710i | ||||
\(211\) | −0.690837 | + | 4.80488i | −0.0475592 | + | 0.330781i | 0.952126 | + | 0.305705i | \(0.0988920\pi\) |
−0.999686 | + | 0.0250766i | \(0.992017\pi\) | |||||||
\(212\) | 0.366879 | + | 3.84213i | 0.0251973 | + | 0.263878i | ||||
\(213\) | −10.8313 | + | 2.06340i | −0.742146 | + | 0.141382i | ||||
\(214\) | 3.98980 | − | 3.80427i | 0.272737 | − | 0.260054i | ||||
\(215\) | 22.4105 | + | 11.5534i | 1.52838 | + | 0.787935i | ||||
\(216\) | −4.38932 | + | 2.78098i | −0.298656 | + | 0.189222i | ||||
\(217\) | 0.0932431 | − | 0.194467i | 0.00632975 | − | 0.0132013i | ||||
\(218\) | 11.5384 | + | 9.99809i | 0.781480 | + | 0.677156i | ||||
\(219\) | 9.74966 | − | 3.87886i | 0.658821 | − | 0.262109i | ||||
\(220\) | −10.3749 | − | 2.51693i | −0.699478 | − | 0.169692i | ||||
\(221\) | 2.78228 | − | 29.1373i | 0.187156 | − | 1.95999i | ||||
\(222\) | 11.9138 | − | 1.11177i | 0.799600 | − | 0.0746170i | ||||
\(223\) | 1.26457 | − | 4.30674i | 0.0846822 | − | 0.288401i | −0.906254 | − | 0.422733i | \(-0.861071\pi\) |
0.990936 | + | 0.134332i | \(0.0428889\pi\) | |||||||
\(224\) | 2.19861 | + | 1.47177i | 0.146901 | + | 0.0983365i | ||||
\(225\) | 1.82508 | + | 2.12466i | 0.121672 | + | 0.141644i | ||||
\(226\) | 6.53490 | − | 2.61618i | 0.434695 | − | 0.174026i | ||||
\(227\) | −2.81444 | + | 1.45094i | −0.186801 | + | 0.0963026i | −0.549090 | − | 0.835763i | \(-0.685026\pi\) |
0.362289 | + | 0.932066i | \(0.381995\pi\) | |||||||
\(228\) | −7.07534 | + | 6.71732i | −0.468576 | + | 0.444866i | ||||
\(229\) | 18.0192 | − | 10.4034i | 1.19074 | − | 0.687475i | 0.232267 | − | 0.972652i | \(-0.425386\pi\) |
0.958475 | + | 0.285177i | \(0.0920525\pi\) | |||||||
\(230\) | −9.46588 | − | 6.84623i | −0.624162 | − | 0.451427i | ||||
\(231\) | −12.7416 | + | 15.5249i | −0.838336 | + | 1.02146i | ||||
\(232\) | −2.77179 | − | 3.19881i | −0.181977 | − | 0.210012i | ||||
\(233\) | 14.2290 | + | 0.677809i | 0.932171 | + | 0.0444048i | 0.508170 | − | 0.861257i | \(-0.330322\pi\) |
0.424001 | + | 0.905662i | \(0.360625\pi\) | |||||||
\(234\) | −16.9221 | + | 8.63197i | −1.10623 | + | 0.564290i | ||||
\(235\) | 0.854491 | + | 1.19996i | 0.0557408 | + | 0.0782770i | ||||
\(236\) | 7.67710 | − | 6.03734i | 0.499737 | − | 0.392997i | ||||
\(237\) | 6.23418 | + | 21.4019i | 0.404953 | + | 1.39020i | ||||
\(238\) | 11.4367 | − | 4.33226i | 0.741331 | − | 0.280819i | ||||
\(239\) | −10.5103 | + | 4.79989i | −0.679854 | + | 0.310479i | −0.725245 | − | 0.688490i | \(-0.758274\pi\) |
0.0453916 | + | 0.998969i | \(0.485546\pi\) | |||||||
\(240\) | 0.807384 | − | 4.14114i | 0.0521164 | − | 0.267309i | ||||
\(241\) | −15.4059 | + | 5.33204i | −0.992382 | + | 0.343467i | −0.774545 | − | 0.632519i | \(-0.782021\pi\) |
−0.217837 | + | 0.975985i | \(0.569900\pi\) | |||||||
\(242\) | −7.75673 | + | 2.68463i | −0.498622 | + | 0.172575i | ||||
\(243\) | 13.5831 | − | 7.64856i | 0.871354 | − | 0.490655i | ||||
\(244\) | 10.8067 | − | 4.93528i | 0.691831 | − | 0.315949i | ||||
\(245\) | −10.6767 | − | 13.2950i | −0.682106 | − | 0.849387i | ||||
\(246\) | 6.32377 | − | 1.84206i | 0.403189 | − | 0.117445i | ||||
\(247\) | −28.0365 | + | 22.0481i | −1.78392 | + | 1.40289i | ||||
\(248\) | 0.0472828 | + | 0.0663994i | 0.00300246 | + | 0.00421636i | ||||
\(249\) | −1.36634 | + | 13.9908i | −0.0865880 | + | 0.886628i | ||||
\(250\) | 9.89406 | + | 0.471312i | 0.625755 | + | 0.0298084i | ||||
\(251\) | 12.4747 | + | 14.3965i | 0.787394 | + | 0.908701i | 0.997620 | − | 0.0689515i | \(-0.0219654\pi\) |
−0.210226 | + | 0.977653i | \(0.567420\pi\) | |||||||
\(252\) | −6.35790 | − | 4.75154i | −0.400510 | − | 0.299319i | ||||
\(253\) | −20.9870 | − | 1.15469i | −1.31944 | − | 0.0725944i | ||||
\(254\) | −1.46331 | + | 0.844842i | −0.0918161 | + | 0.0530101i | ||||
\(255\) | −13.4278 | − | 14.1435i | −0.840884 | − | 0.885702i | ||||
\(256\) | −0.888835 | + | 0.458227i | −0.0555522 | + | 0.0286392i | ||||
\(257\) | 17.5732 | − | 7.03524i | 1.09619 | − | 0.438846i | 0.248115 | − | 0.968730i | \(-0.420189\pi\) |
0.848070 | + | 0.529884i | \(0.177765\pi\) | |||||||
\(258\) | 2.51322 | + | 17.7509i | 0.156466 | + | 1.10512i | ||||
\(259\) | 8.07010 | + | 16.3996i | 0.501452 | + | 1.01902i | ||||
\(260\) | 4.34560 | − | 14.7998i | 0.269503 | − | 0.917843i | ||||
\(261\) | 7.80630 | + | 10.0149i | 0.483198 | + | 0.619907i | ||||
\(262\) | 1.20017 | − | 12.5688i | 0.0741470 | − | 0.776503i | ||||
\(263\) | −6.45047 | − | 1.56487i | −0.397753 | − | 0.0964939i | 0.0318927 | − | 0.999491i | \(-0.489847\pi\) |
−0.429646 | + | 0.902997i | \(0.641362\pi\) | |||||||
\(264\) | −2.80615 | − | 7.05337i | −0.172707 | − | 0.434105i | ||||
\(265\) | 7.10528 | + | 6.15676i | 0.436474 | + | 0.378207i | ||||
\(266\) | −13.4379 | − | 6.44322i | −0.823933 | − | 0.395059i | ||||
\(267\) | −0.164312 | + | 0.254468i | −0.0100557 | + | 0.0155732i | ||||
\(268\) | 7.95976 | + | 4.10354i | 0.486220 | + | 0.250664i | ||||
\(269\) | 0.782364 | − | 0.745983i | 0.0477016 | − | 0.0454834i | −0.665853 | − | 0.746083i | \(-0.731932\pi\) |
0.713555 | + | 0.700599i | \(0.247084\pi\) | |||||||
\(270\) | −3.06341 | + | 12.2810i | −0.186433 | + | 0.747400i | ||||
\(271\) | 0.645940 | + | 6.76458i | 0.0392380 | + | 0.410919i | 0.993657 | + | 0.112450i | \(0.0358699\pi\) |
−0.954419 | + | 0.298469i | \(0.903524\pi\) | |||||||
\(272\) | −0.657838 | + | 4.57536i | −0.0398873 | + | 0.277422i | ||||
\(273\) | −21.5291 | − | 19.4556i | −1.30300 | − | 1.17751i | ||||
\(274\) | 13.2327 | + | 15.2714i | 0.799420 | + | 0.922579i | ||||
\(275\) | −3.54366 | + | 2.04593i | −0.213691 | + | 0.123374i | ||||
\(276\) | 0.0790376 | − | 8.30625i | 0.00475751 | − | 0.499977i | ||||
\(277\) | −9.58829 | + | 16.6074i | −0.576105 | + | 0.997843i | 0.419816 | + | 0.907609i | \(0.362095\pi\) |
−0.995921 | + | 0.0902334i | \(0.971239\pi\) | |||||||
\(278\) | −2.57804 | + | 7.44876i | −0.154621 | + | 0.446747i | ||||
\(279\) | −0.131323 | − | 0.206289i | −0.00786210 | − | 0.0123502i | ||||
\(280\) | 6.35003 | − | 1.10115i | 0.379487 | − | 0.0658065i | ||||
\(281\) | 14.0605 | + | 6.42124i | 0.838782 | + | 0.383059i | 0.788018 | − | 0.615652i | \(-0.211107\pi\) |
0.0507637 | + | 0.998711i | \(0.483834\pi\) | |||||||
\(282\) | −0.344719 | + | 0.989110i | −0.0205277 | + | 0.0589006i | ||||
\(283\) | −3.52993 | − | 3.70208i | −0.209832 | − | 0.220066i | 0.610404 | − | 0.792090i | \(-0.291007\pi\) |
−0.820237 | + | 0.572024i | \(0.806158\pi\) | |||||||
\(284\) | 6.35869 | − | 0.302902i | 0.377319 | − | 0.0179739i | ||||
\(285\) | −1.18186 | + | 23.7357i | −0.0700072 | + | 1.40598i | ||||
\(286\) | −7.81867 | − | 26.6279i | −0.462327 | − | 1.57454i | ||||
\(287\) | 6.07046 | + | 8.02353i | 0.358328 | + | 0.473614i | ||||
\(288\) | 2.73423 | − | 1.23449i | 0.161116 | − | 0.0727431i | ||||
\(289\) | 3.16031 | + | 3.01335i | 0.185901 | + | 0.177256i | ||||
\(290\) | −10.2636 | − | 0.980056i | −0.602700 | − | 0.0575509i | ||||
\(291\) | −15.9359 | − | 22.4811i | −0.934180 | − | 1.31786i | ||||
\(292\) | −5.88732 | + | 1.42825i | −0.344530 | + | 0.0835820i | ||||
\(293\) | −3.89941 | − | 27.1210i | −0.227806 | − | 1.58442i | −0.707322 | − | 0.706892i | \(-0.750097\pi\) |
0.479516 | − | 0.877533i | \(-0.340812\pi\) | |||||||
\(294\) | 3.32204 | − | 11.6604i | 0.193745 | − | 0.680046i | ||||
\(295\) | 3.38576 | − | 23.5485i | 0.197126 | − | 1.37104i | ||||
\(296\) | −6.90048 | − | 0.328711i | −0.401082 | − | 0.0191059i | ||||
\(297\) | 7.30934 | + | 21.5684i | 0.424131 | + | 1.25152i | ||||
\(298\) | −8.17927 | + | 14.1669i | −0.473813 | + | 0.820668i | ||||
\(299\) | 3.10919 | − | 30.2084i | 0.179809 | − | 1.74700i | ||||
\(300\) | −0.871346 | − | 1.36228i | −0.0503072 | − | 0.0786510i | ||||
\(301\) | −23.9682 | + | 13.2468i | −1.38151 | + | 0.763535i | ||||
\(302\) | −3.26677 | + | 5.08319i | −0.187981 | + | 0.292505i | ||||
\(303\) | −15.2947 | − | 10.9410i | −0.878656 | − | 0.628542i | ||||
\(304\) | 4.58829 | − | 3.26730i | 0.263156 | − | 0.187393i | ||||
\(305\) | 10.7557 | − | 26.8664i | 0.615869 | − | 1.53837i | ||||
\(306\) | 2.68296 | − | 13.6052i | 0.153374 | − | 0.777758i | ||||
\(307\) | −9.38965 | − | 14.6106i | −0.535896 | − | 0.833870i | 0.462718 | − | 0.886505i | \(-0.346874\pi\) |
−0.998614 | + | 0.0526356i | \(0.983238\pi\) | |||||||
\(308\) | 8.54025 | − | 7.84355i | 0.486626 | − | 0.446928i | ||||
\(309\) | −9.22637 | + | 10.6016i | −0.524870 | + | 0.603106i | ||||
\(310\) | 0.194972 | + | 0.0375778i | 0.0110737 | + | 0.00213428i | ||||
\(311\) | −7.02957 | − | 20.3106i | −0.398610 | − | 1.15171i | −0.948584 | − | 0.316526i | \(-0.897483\pi\) |
0.549974 | − | 0.835182i | \(-0.314638\pi\) | |||||||
\(312\) | 10.3721 | − | 3.56486i | 0.587206 | − | 0.201820i | ||||
\(313\) | 5.65544 | + | 4.02722i | 0.319665 | + | 0.227632i | 0.728613 | − | 0.684925i | \(-0.240165\pi\) |
−0.408949 | + | 0.912557i | \(0.634105\pi\) | |||||||
\(314\) | 3.48247 | − | 2.23805i | 0.196527 | − | 0.126300i | ||||
\(315\) | −19.1958 | + | 2.31070i | −1.08156 | + | 0.130193i | ||||
\(316\) | −1.83158 | − | 12.7389i | −0.103035 | − | 0.716621i | ||||
\(317\) | 1.46215 | + | 15.3123i | 0.0821223 | + | 0.860023i | 0.938866 | + | 0.344282i | \(0.111878\pi\) |
−0.856744 | + | 0.515742i | \(0.827516\pi\) | |||||||
\(318\) | −0.649768 | + | 6.65337i | −0.0364372 | + | 0.373103i | ||||
\(319\) | −16.4883 | + | 8.50030i | −0.923166 | + | 0.475925i | ||||
\(320\) | −0.796707 | + | 2.30193i | −0.0445373 | + | 0.128682i | ||||
\(321\) | 8.04375 | − | 5.14499i | 0.448958 | − | 0.287165i | ||||
\(322\) | 11.8986 | − | 4.40730i | 0.663081 | − | 0.245609i | ||||
\(323\) | − | 26.0368i | − | 1.44873i | ||||||
\(324\) | −8.38379 | + | 3.27294i | −0.465766 | + | 0.181830i | ||||
\(325\) | −2.70901 | − | 5.25475i | −0.150269 | − | 0.291481i | ||||
\(326\) | 0.249270 | − | 0.316973i | 0.0138058 | − | 0.0175555i | ||||
\(327\) | 16.3019 | + | 20.8216i | 0.901497 | + | 1.15144i | ||||
\(328\) | −3.76407 | + | 0.541191i | −0.207836 | + | 0.0298823i | ||||
\(329\) | −1.59935 | + | 0.0462371i | −0.0881751 | + | 0.00254913i | ||||
\(330\) | −16.8036 | − | 7.71768i | −0.925007 | − | 0.424844i | ||||
\(331\) | 0.486504 | − | 0.683200i | 0.0267407 | − | 0.0375520i | −0.800989 | − | 0.598679i | \(-0.795693\pi\) |
0.827730 | + | 0.561127i | \(0.189632\pi\) | |||||||
\(332\) | 1.91342 | − | 7.88722i | 0.105012 | − | 0.432867i | ||||
\(333\) | 20.6224 | + | 2.05878i | 1.13010 | + | 0.112821i | ||||
\(334\) | 2.47316 | − | 12.8320i | 0.135325 | − | 0.702134i | ||||
\(335\) | 20.9306 | − | 6.14577i | 1.14356 | − | 0.335779i | ||||
\(336\) | 3.24992 | + | 3.23080i | 0.177298 | + | 0.176254i | ||||
\(337\) | 15.8846 | − | 10.2084i | 0.865287 | − | 0.556086i | −0.0310210 | − | 0.999519i | \(-0.509876\pi\) |
0.896308 | + | 0.443433i | \(0.146240\pi\) | |||||||
\(338\) | 26.3326 | − | 6.38821i | 1.43230 | − | 0.347473i | ||||
\(339\) | 11.9767 | − | 2.28161i | 0.650487 | − | 0.123920i | ||||
\(340\) | 6.53130 | + | 9.17193i | 0.354209 | + | 0.497418i | ||||
\(341\) | 0.331662 | − | 0.132777i | 0.0179605 | − | 0.00719030i | ||||
\(342\) | −14.2548 | + | 9.07460i | −0.770813 | + | 0.490698i | ||||
\(343\) | 18.4507 | − | 1.60380i | 0.996243 | − | 0.0865970i | ||||
\(344\) | − | 10.3507i | − | 0.558071i | ||||||
\(345\) | −13.8232 | − | 14.7763i | −0.744216 | − | 0.795532i | ||||
\(346\) | 12.9233 | + | 7.46126i | 0.694760 | + | 0.401120i | ||||
\(347\) | 1.72814 | + | 8.96645i | 0.0927715 | + | 0.481344i | 0.998363 | + | 0.0571934i | \(0.0182152\pi\) |
−0.905592 | + | 0.424151i | \(0.860573\pi\) | |||||||
\(348\) | −3.65190 | − | 6.35682i | −0.195762 | − | 0.340761i | ||||
\(349\) | 2.19053 | + | 0.314950i | 0.117256 | + | 0.0168589i | 0.200693 | − | 0.979654i | \(-0.435681\pi\) |
−0.0834369 | + | 0.996513i | \(0.526590\pi\) | |||||||
\(350\) | 1.47021 | − | 1.98500i | 0.0785861 | − | 0.106103i | ||||
\(351\) | −31.6293 | + | 9.06587i | −1.68825 | + | 0.483900i | ||||
\(352\) | 1.03326 | + | 4.25917i | 0.0550731 | + | 0.227015i | ||||
\(353\) | 1.47858 | + | 31.0391i | 0.0786966 | + | 1.65205i | 0.600973 | + | 0.799269i | \(0.294780\pi\) |
−0.522276 | + | 0.852776i | \(0.674917\pi\) | |||||||
\(354\) | 15.0525 | − | 7.71914i | 0.800030 | − | 0.410268i | ||||
\(355\) | 10.7009 | − | 11.2227i | 0.567943 | − | 0.595642i | ||||
\(356\) | 0.114524 | − | 0.132168i | 0.00606977 | − | 0.00700489i | ||||
\(357\) | 20.8788 | − | 3.57432i | 1.10502 | − | 0.189173i | ||||
\(358\) | 13.5965 | − | 3.99228i | 0.718596 | − | 0.210999i | ||||
\(359\) | −2.97332 | − | 2.11729i | −0.156926 | − | 0.111746i | 0.498897 | − | 0.866661i | \(-0.333739\pi\) |
−0.655823 | + | 0.754915i | \(0.727678\pi\) | |||||||
\(360\) | 2.74517 | − | 6.77250i | 0.144683 | − | 0.356942i | ||||
\(361\) | −9.21142 | + | 8.78307i | −0.484811 | + | 0.462267i | ||||
\(362\) | 7.01625 | − | 5.51764i | 0.368766 | − | 0.290001i | ||||
\(363\) | −14.0766 | + | 1.99301i | −0.738830 | + | 0.104606i | ||||
\(364\) | 10.7325 | + | 12.8642i | 0.562534 | + | 0.674270i | ||||
\(365\) | −7.97821 | + | 12.4143i | −0.417598 | + | 0.649796i | ||||
\(366\) | 20.0077 | − | 4.80827i | 1.04582 | − | 0.251332i | ||||
\(367\) | −2.72128 | − | 1.57113i | −0.142050 | − | 0.0820123i | 0.427291 | − | 0.904114i | \(-0.359468\pi\) |
−0.569340 | + | 0.822102i | \(0.692801\pi\) | |||||||
\(368\) | −0.717455 | + | 4.74186i | −0.0373999 | + | 0.247187i | ||||
\(369\) | 11.3612 | − | 1.03555i | 0.591442 | − | 0.0539088i | ||||
\(370\) | −12.7177 | + | 11.0200i | −0.661164 | + | 0.572902i | ||||
\(371\) | −9.84999 | + | 2.69323i | −0.511386 | + | 0.139826i | ||||
\(372\) | 0.0583745 | + | 0.128554i | 0.00302658 | + | 0.00666519i | ||||
\(373\) | −17.9872 | + | 1.71757i | −0.931343 | + | 0.0889325i | −0.549686 | − | 0.835372i | \(-0.685253\pi\) |
−0.381657 | + | 0.924304i | \(0.624646\pi\) | |||||||
\(374\) | 18.8075 | + | 7.52940i | 0.972514 | + | 0.389336i | ||||
\(375\) | 16.6641 | + | 4.08065i | 0.860530 | + | 0.210724i | ||||
\(376\) | 0.277113 | − | 0.537524i | 0.0142910 | − | 0.0277207i | ||||
\(377\) | −11.1339 | − | 24.3797i | −0.573423 | − | 1.25562i | ||||
\(378\) | −9.23379 | − | 10.1851i | −0.474935 | − | 0.523867i | ||||
\(379\) | −6.69767 | + | 7.72952i | −0.344036 | + | 0.397039i | −0.901228 | − | 0.433345i | \(-0.857333\pi\) |
0.557192 | + | 0.830384i | \(0.311879\pi\) | |||||||
\(380\) | 2.59668 | − | 13.4728i | 0.133207 | − | 0.691142i | ||||
\(381\) | −2.76771 | + | 0.951250i | −0.141794 | + | 0.0487340i | ||||
\(382\) | −18.2234 | − | 1.74012i | −0.932390 | − | 0.0890325i | ||||
\(383\) | 0.491863 | + | 0.253573i | 0.0251330 | + | 0.0129570i | 0.470747 | − | 0.882268i | \(-0.343984\pi\) |
−0.445614 | + | 0.895225i | \(0.647015\pi\) | |||||||
\(384\) | −1.66294 | + | 0.484399i | −0.0848614 | + | 0.0247194i | ||||
\(385\) | 1.87126 | − | 28.1837i | 0.0953683 | − | 1.43637i | ||||
\(386\) | −18.2322 | − | 8.32635i | −0.927993 | − | 0.423800i | ||||
\(387\) | −1.61096 | + | 31.0102i | −0.0818898 | + | 1.57634i | ||||
\(388\) | 7.29023 | + | 14.1411i | 0.370105 | + | 0.717904i | ||||
\(389\) | 6.55570 | + | 34.0142i | 0.332387 | + | 1.72459i | 0.635910 | + | 0.771763i | \(0.280625\pi\) |
−0.303523 | + | 0.952824i | \(0.598163\pi\) | |||||||
\(390\) | 12.2931 | − | 23.7199i | 0.622485 | − | 1.20110i | ||||
\(391\) | 15.9309 | + | 15.4156i | 0.805659 | + | 0.779601i | ||||
\(392\) | −2.84278 | + | 6.39676i | −0.143582 | + | 0.323085i | ||||
\(393\) | 6.20629 | − | 20.9697i | 0.313066 | − | 1.05778i | ||||
\(394\) | 0.456824 | − | 9.58992i | 0.0230145 | − | 0.483133i | ||||
\(395\) | −24.6427 | − | 19.3793i | −1.23991 | − | 0.975076i | ||||
\(396\) | −2.43273 | − | 12.9211i | −0.122249 | − | 0.649311i | ||||
\(397\) | 10.0016 | + | 12.7181i | 0.501967 | + | 0.638303i | 0.969330 | − | 0.245762i | \(-0.0790383\pi\) |
−0.467363 | + | 0.884065i | \(0.654796\pi\) | |||||||
\(398\) | −13.1588 | − | 3.86376i | −0.659589 | − | 0.193673i | ||||
\(399\) | −20.7094 | − | 15.4078i | −1.03677 | − | 0.771353i | ||||
\(400\) | 0.387847 | + | 0.849267i | 0.0193924 | + | 0.0424634i | ||||
\(401\) | −2.06227 | + | 2.16284i | −0.102985 | + | 0.108007i | −0.773209 | − | 0.634152i | \(-0.781349\pi\) |
0.670224 | + | 0.742159i | \(0.266198\pi\) | |||||||
\(402\) | 12.1718 | + | 9.61446i | 0.607074 | + | 0.479526i | ||||
\(403\) | 0.168820 | + | 0.487772i | 0.00840950 | + | 0.0242977i | ||||
\(404\) | 7.85768 | + | 7.49228i | 0.390934 | + | 0.372755i | ||||
\(405\) | −9.27848 | + | 19.8629i | −0.461052 | + | 0.986995i | ||||
\(406\) | 7.08582 | − | 8.67165i | 0.351663 | − | 0.430367i | ||||
\(407\) | −8.53005 | + | 29.0507i | −0.422819 | + | 1.43999i | ||||
\(408\) | −2.63486 | + | 7.56026i | −0.130445 | + | 0.374289i | ||||
\(409\) | −22.5955 | + | 16.0902i | −1.11728 | + | 0.795610i | −0.980797 | − | 0.195033i | \(-0.937519\pi\) |
−0.136481 | + | 0.990643i | \(0.543579\pi\) | |||||||
\(410\) | −5.72613 | + | 7.28137i | −0.282793 | + | 0.359601i | ||||
\(411\) | 17.4345 | + | 30.3480i | 0.859980 | + | 1.49696i | ||||
\(412\) | 6.13230 | − | 5.31367i | 0.302117 | − | 0.261786i | ||||
\(413\) | 19.2089 | + | 17.2838i | 0.945206 | + | 0.850482i | ||||
\(414\) | 2.88748 | − | 14.0948i | 0.141912 | − | 0.692720i | ||||
\(415\) | −9.88490 | − | 17.1211i | −0.485231 | − | 0.840444i | ||||
\(416\) | −6.21774 | + | 1.19837i | −0.304850 | + | 0.0587550i | ||||
\(417\) | −6.85168 | + | 11.8087i | −0.335528 | + | 0.578275i | ||||
\(418\) | −9.17510 | − | 22.9183i | −0.448769 | − | 1.12097i | ||||
\(419\) | 5.06570 | − | 11.0923i | 0.247476 | − | 0.541896i | −0.744604 | − | 0.667506i | \(-0.767362\pi\) |
0.992080 | + | 0.125610i | \(0.0400889\pi\) | |||||||
\(420\) | 11.1603 | + | 0.232720i | 0.544567 | + | 0.0113556i | ||||
\(421\) | −24.7086 | − | 7.25509i | −1.20422 | − | 0.353591i | −0.382756 | − | 0.923849i | \(-0.625025\pi\) |
−0.821466 | + | 0.570258i | \(0.806843\pi\) | |||||||
\(422\) | 2.22436 | − | 4.31466i | 0.108280 | − | 0.210034i | ||||
\(423\) | −0.913878 | + | 1.56727i | −0.0444343 | + | 0.0762033i | ||||
\(424\) | 0.909936 | − | 3.75081i | 0.0441904 | − | 0.182155i | ||||
\(425\) | 4.23767 | + | 0.816744i | 0.205557 | + | 0.0396179i | ||||
\(426\) | 10.9104 | + | 1.59265i | 0.528612 | + | 0.0771641i | ||||
\(427\) | 17.7507 | + | 25.9405i | 0.859017 | + | 1.25535i | ||||
\(428\) | −5.01462 | + | 2.29010i | −0.242391 | + | 0.110696i | ||||
\(429\) | −4.46620 | − | 47.8601i | −0.215630 | − | 2.31071i | ||||
\(430\) | −17.3992 | − | 18.2477i | −0.839062 | − | 0.879983i | ||||
\(431\) | 0.496928 | − | 1.24127i | 0.0239362 | − | 0.0597897i | −0.915918 | − | 0.401365i | \(-0.868536\pi\) |
0.939855 | + | 0.341575i | \(0.110960\pi\) | |||||||
\(432\) | 5.05748 | − | 1.19242i | 0.243328 | − | 0.0573704i | ||||
\(433\) | 34.7889 | + | 5.00189i | 1.67185 | + | 0.240375i | 0.912137 | − | 0.409886i | \(-0.134432\pi\) |
0.759710 | + | 0.650262i | \(0.225341\pi\) | |||||||
\(434\) | −0.151719 | + | 0.153275i | −0.00728273 | + | 0.00735743i | ||||
\(435\) | −17.1237 | − | 5.06802i | −0.821020 | − | 0.242993i | ||||
\(436\) | −7.63376 | − | 13.2221i | −0.365591 | − | 0.633221i | ||||
\(437\) | 0.198919 | − | 27.0129i | 0.00951559 | − | 1.29220i | ||||
\(438\) | −10.4821 | + | 0.476723i | −0.500854 | + | 0.0227787i | ||||
\(439\) | −19.2218 | − | 6.65273i | −0.917406 | − | 0.317517i | −0.172750 | − | 0.984966i | \(-0.555265\pi\) |
−0.744656 | + | 0.667448i | \(0.767387\pi\) | |||||||
\(440\) | 8.98112 | + | 5.77182i | 0.428158 | + | 0.275161i | ||||
\(441\) | 9.51244 | − | 18.7220i | 0.452974 | − | 0.891524i | ||||
\(442\) | −12.1591 | + | 26.6248i | −0.578352 | + | 1.26641i | ||||
\(443\) | −4.02107 | − | 5.11321i | −0.191047 | − | 0.242936i | 0.681088 | − | 0.732202i | \(-0.261507\pi\) |
−0.872135 | + | 0.489266i | \(0.837265\pi\) | |||||||
\(444\) | −11.6222 | − | 2.84599i | −0.551563 | − | 0.135065i | ||||
\(445\) | −0.0202699 | − | 0.425517i | −0.000960883 | − | 0.0201714i | ||||
\(446\) | −2.60362 | + | 3.65628i | −0.123285 | + | 0.173130i | ||||
\(447\) | −18.6007 | + | 21.3733i | −0.879785 | + | 1.01092i | ||||
\(448\) | −1.59633 | − | 2.10992i | −0.0754193 | − | 0.0996842i | ||||
\(449\) | −6.00988 | − | 5.20759i | −0.283624 | − | 0.245761i | 0.501417 | − | 0.865206i | \(-0.332812\pi\) |
−0.785040 | + | 0.619445i | \(0.787358\pi\) | |||||||
\(450\) | −1.02980 | − | 2.60473i | −0.0485451 | − | 0.122788i | ||||
\(451\) | −1.58425 | + | 16.5910i | −0.0745994 | + | 0.781240i | ||||
\(452\) | −7.03115 | + | 0.334935i | −0.330718 | + | 0.0157540i | ||||
\(453\) | −7.23847 | + | 7.55886i | −0.340093 | + | 0.355146i | ||||
\(454\) | 3.13421 | − | 0.450631i | 0.147096 | − | 0.0211491i | ||||
\(455\) | 40.5452 | + | 4.63808i | 1.90079 | + | 0.217436i | ||||
\(456\) | 8.88322 | − | 4.03376i | 0.415995 | − | 0.188898i | ||||
\(457\) | 1.56534 | − | 32.8605i | 0.0732234 | − | 1.53715i | −0.601378 | − | 0.798965i | \(-0.705381\pi\) |
0.674601 | − | 0.738183i | \(-0.264316\pi\) | |||||||
\(458\) | −20.4308 | + | 3.93771i | −0.954667 | + | 0.183997i | ||||
\(459\) | 9.07060 | − | 22.2402i | 0.423379 | − | 1.03808i | ||||
\(460\) | 6.70608 | + | 9.56568i | 0.312673 | + | 0.446002i | ||||
\(461\) | −32.6223 | −1.51937 | −0.759686 | − | 0.650290i | \(-0.774647\pi\) | ||||
−0.759686 | + | 0.650290i | \(0.774647\pi\) | |||||||
\(462\) | 17.1185 | − | 10.5037i | 0.796426 | − | 0.488676i | ||||
\(463\) | −28.1723 | − | 18.1052i | −1.30928 | − | 0.841422i | −0.315088 | − | 0.949062i | \(-0.602034\pi\) |
−0.994190 | + | 0.107640i | \(0.965671\pi\) | |||||||
\(464\) | 1.57311 | + | 3.92944i | 0.0730298 | + | 0.182420i | ||||
\(465\) | 0.319006 | + | 0.128508i | 0.0147935 | + | 0.00595940i | ||||
\(466\) | −13.2247 | − | 5.29437i | −0.612622 | − | 0.245257i | ||||
\(467\) | 5.63725 | + | 23.2371i | 0.260861 | + | 1.07528i | 0.939973 | + | 0.341248i | \(0.110850\pi\) |
−0.679112 | + | 0.734034i | \(0.737635\pi\) | |||||||
\(468\) | 18.8146 | − | 2.62255i | 0.869706 | − | 0.121228i | ||||
\(469\) | −7.09909 | + | 22.6049i | −0.327805 | + | 1.04380i | ||||
\(470\) | −0.415024 | − | 1.41344i | −0.0191437 | − | 0.0651973i | ||||
\(471\) | 6.66214 | − | 2.65050i | 0.306975 | − | 0.122129i | ||||
\(472\) | −9.22949 | + | 3.19436i | −0.424821 | + | 0.147032i | ||||
\(473\) | −44.0853 | − | 10.6950i | −2.02704 | − | 0.491756i | ||||
\(474\) | 1.10857 | − | 22.2638i | 0.0509182 | − | 1.02261i | ||||
\(475\) | −2.84319 | − | 4.42409i | −0.130455 | − | 0.202991i | ||||
\(476\) | −12.2246 | + | 0.353413i | −0.560315 | + | 0.0161987i | ||||
\(477\) | −3.30990 | + | 11.0956i | −0.151550 | + | 0.508035i | ||||
\(478\) | 11.5021 | − | 1.09832i | 0.526095 | − | 0.0502359i | ||||
\(479\) | 4.91999 | + | 3.86912i | 0.224800 | + | 0.176785i | 0.724207 | − | 0.689583i | \(-0.242206\pi\) |
−0.499407 | + | 0.866368i | \(0.666449\pi\) | |||||||
\(480\) | −2.11741 | + | 3.64931i | −0.0966462 | + | 0.166568i | ||||
\(481\) | −41.3387 | − | 14.3074i | −1.88488 | − | 0.652364i | ||||
\(482\) | 16.3025 | 0.742560 | ||||||||
\(483\) | 21.6888 | − | 3.54881i | 0.986877 | − | 0.161476i | ||||
\(484\) | 8.20818 | 0.373099 | ||||||||
\(485\) | 36.6230 | + | 12.6753i | 1.66296 | + | 0.575557i | ||||
\(486\) | −15.3376 | + | 2.78531i | −0.695728 | + | 0.126344i | ||||
\(487\) | 8.57163 | + | 6.74080i | 0.388418 | + | 0.305455i | 0.793204 | − | 0.608956i | \(-0.208412\pi\) |
−0.404786 | + | 0.914411i | \(0.632654\pi\) | |||||||
\(488\) | −11.8266 | + | 1.12930i | −0.535363 | + | 0.0511210i | ||||
\(489\) | 0.528831 | − | 0.456247i | 0.0239146 | − | 0.0206322i | ||||
\(490\) | 5.74107 | + | 16.0558i | 0.259355 | + | 0.725327i | ||||
\(491\) | 7.06839 | + | 10.9986i | 0.318992 | + | 0.496361i | 0.963308 | − | 0.268398i | \(-0.0864943\pi\) |
−0.644316 | + | 0.764759i | \(0.722858\pi\) | |||||||
\(492\) | −6.57845 | − | 0.327557i | −0.296579 | − | 0.0147674i | ||||
\(493\) | 19.0135 | + | 4.61262i | 0.856323 | + | 0.207742i | ||||
\(494\) | 33.7057 | − | 11.6657i | 1.51649 | − | 0.524863i | ||||
\(495\) | −26.0088 | − | 18.6899i | −1.16901 | − | 0.840050i | ||||
\(496\) | −0.0229652 | − | 0.0782121i | −0.00103117 | − | 0.00351183i | ||||
\(497\) | 3.66407 | + | 16.4392i | 0.164356 | + | 0.737399i | ||||
\(498\) | 5.86712 | − | 12.7744i | 0.262912 | − | 0.572434i | ||||
\(499\) | −7.69510 | − | 31.7196i | −0.344480 | − | 1.41997i | −0.835823 | − | 0.549000i | \(-0.815009\pi\) |
0.491343 | − | 0.870966i | \(-0.336506\pi\) | |||||||
\(500\) | −9.19574 | − | 3.68142i | −0.411246 | − | 0.164638i | ||||
\(501\) | 8.45764 | − | 20.9951i | 0.377860 | − | 0.937994i | ||||
\(502\) | −7.07993 | − | 17.6848i | −0.315993 | − | 0.789311i | ||||
\(503\) | 9.62150 | + | 6.18336i | 0.429001 | + | 0.275702i | 0.737272 | − | 0.675596i | \(-0.236114\pi\) |
−0.308270 | + | 0.951299i | \(0.599750\pi\) | |||||||
\(504\) | 4.45414 | + | 6.56967i | 0.198403 | + | 0.292637i | ||||
\(505\) | 26.4470 | 1.17687 | ||||||||
\(506\) | 19.4551 | + | 7.95536i | 0.864884 | + | 0.353659i | ||||
\(507\) | 46.8838 | − | 2.13227i | 2.08218 | − | 0.0946973i | ||||
\(508\) | 1.65915 | − | 0.319775i | 0.0736128 | − | 0.0141877i | ||||
\(509\) | −0.640550 | + | 13.4468i | −0.0283919 | + | 0.596019i | 0.939180 | + | 0.343424i | \(0.111587\pi\) |
−0.967572 | + | 0.252594i | \(0.918716\pi\) | |||||||
\(510\) | 8.06343 | + | 17.7575i | 0.357055 | + | 0.786314i | ||||
\(511\) | −6.38460 | − | 14.7017i | −0.282438 | − | 0.650365i | ||||
\(512\) | 0.989821 | − | 0.142315i | 0.0437443 | − | 0.00628949i | ||||
\(513\) | −27.2416 | + | 10.7024i | −1.20275 | + | 0.472523i | ||||
\(514\) | −18.9077 | + | 0.900684i | −0.833982 | + | 0.0397275i | ||||
\(515\) | 1.87882 | − | 19.6759i | 0.0827908 | − | 0.867024i | ||||
\(516\) | 3.43074 | − | 17.5966i | 0.151030 | − | 0.774646i | ||||
\(517\) | −2.00307 | − | 1.73567i | −0.0880951 | − | 0.0763349i | ||||
\(518\) | −2.26247 | − | 18.1371i | −0.0994072 | − | 0.796898i | ||||
\(519\) | 19.4971 | + | 16.9679i | 0.855827 | + | 0.744808i | ||||
\(520\) | −8.94713 | + | 12.5645i | −0.392358 | + | 0.550989i | ||||
\(521\) | 0.865387 | + | 18.1667i | 0.0379133 | + | 0.795898i | 0.935129 | + | 0.354306i | \(0.115283\pi\) |
−0.897216 | + | 0.441592i | \(0.854414\pi\) | |||||||
\(522\) | −4.10141 | − | 12.0173i | −0.179514 | − | 0.525982i | ||||
\(523\) | −1.54318 | − | 1.96231i | −0.0674784 | − | 0.0858057i | 0.751142 | − | 0.660140i | \(-0.229503\pi\) |
−0.818621 | + | 0.574335i | \(0.805261\pi\) | |||||||
\(524\) | −5.24502 | + | 11.4850i | −0.229130 | + | 0.501724i | ||||
\(525\) | 3.15735 | − | 2.88728i | 0.137798 | − | 0.126011i | ||||
\(526\) | 5.58389 | + | 3.58855i | 0.243469 | + | 0.156468i | ||||
\(527\) | −0.356068 | − | 0.123236i | −0.0155106 | − | 0.00536826i | ||||
\(528\) | 0.344884 | + | 7.58324i | 0.0150092 | + | 0.330018i | ||||
\(529\) | 16.4103 | + | 16.1152i | 0.713493 | + | 0.700663i | ||||
\(530\) | −4.70081 | − | 8.14205i | −0.204190 | − | 0.353668i | ||||
\(531\) | 28.1483 | − | 8.13370i | 1.22153 | − | 0.352973i | ||||
\(532\) | 10.5915 | + | 10.4840i | 0.459200 | + | 0.454538i | ||||
\(533\) | −23.8347 | − | 3.42691i | −1.03240 | − | 0.148436i | ||||
\(534\) | 0.238503 | − | 0.186732i | 0.0103210 | − | 0.00808067i | ||||
\(535\) | −4.99093 | + | 12.4667i | −0.215777 | + | 0.538984i | ||||
\(536\) | −6.17984 | − | 6.48123i | −0.266929 | − | 0.279947i | ||||
\(537\) | 24.4378 | − | 2.28048i | 1.05457 | − | 0.0984101i | ||||
\(538\) | −0.983322 | + | 0.449068i | −0.0423940 | + | 0.0193607i | ||||
\(539\) | 24.3076 | + | 18.7174i | 1.04700 | + | 0.806217i | ||||
\(540\) | 6.91166 | − | 10.6036i | 0.297430 | − | 0.456308i | ||||
\(541\) | 33.2454 | + | 6.40752i | 1.42933 | + | 0.275481i | 0.844448 | − | 0.535637i | \(-0.179929\pi\) |
0.584882 | + | 0.811118i | \(0.301141\pi\) | |||||||
\(542\) | 1.60207 | − | 6.60380i | 0.0688146 | − | 0.283658i | ||||
\(543\) | 13.7567 | − | 7.05467i | 0.590358 | − | 0.302745i | ||||
\(544\) | 2.11811 | − | 4.10856i | 0.0908133 | − | 0.176153i | ||||
\(545\) | −35.6838 | − | 10.4777i | −1.52852 | − | 0.448815i | ||||
\(546\) | 13.9818 | + | 25.4270i | 0.598364 | + | 1.08818i | ||||
\(547\) | 9.67537 | − | 21.1861i | 0.413689 | − | 0.905852i | −0.582008 | − | 0.813183i | \(-0.697733\pi\) |
0.995697 | − | 0.0926691i | \(-0.0295399\pi\) | |||||||
\(548\) | −7.51017 | − | 18.7595i | −0.320819 | − | 0.801366i | ||||
\(549\) | 35.6077 | − | 1.54267i | 1.51970 | − | 0.0658395i | ||||
\(550\) | 4.01792 | − | 0.774391i | 0.171325 | − | 0.0330201i | ||||
\(551\) | −11.9206 | − | 20.6472i | −0.507836 | − | 0.879598i | ||||
\(552\) | −2.79140 | + | 7.82356i | −0.118810 | + | 0.332993i | ||||
\(553\) | 32.3805 | − | 10.5333i | 1.37696 | − | 0.447922i | ||||
\(554\) | 14.4927 | − | 12.5580i | 0.615736 | − | 0.533538i | ||||
\(555\) | −25.2733 | + | 14.5191i | −1.07279 | + | 0.616303i | ||||
\(556\) | 4.87250 | − | 6.19589i | 0.206640 | − | 0.262764i | ||||
\(557\) | −10.1941 | + | 7.25916i | −0.431936 | + | 0.307580i | −0.775266 | − | 0.631634i | \(-0.782384\pi\) |
0.343330 | + | 0.939215i | \(0.388445\pi\) | |||||||
\(558\) | 0.0566299 | + | 0.237895i | 0.00239733 | + | 0.0100709i | ||||
\(559\) | 18.4654 | − | 62.8873i | 0.781003 | − | 2.65985i | ||||
\(560\) | −6.36094 | − | 1.03630i | −0.268799 | − | 0.0437918i | ||||
\(561\) | 29.4779 | + | 19.0341i | 1.24456 | + | 0.803619i | ||||
\(562\) | −11.1870 | − | 10.6668i | −0.471897 | − | 0.449953i | ||||
\(563\) | −1.21459 | − | 3.50933i | −0.0511889 | − | 0.147900i | 0.916508 | − | 0.400015i | \(-0.130995\pi\) |
−0.967697 | + | 0.252115i | \(0.918874\pi\) | |||||||
\(564\) | 0.649266 | − | 0.821963i | 0.0273390 | − | 0.0346109i | ||||
\(565\) | −11.8325 | + | 12.4096i | −0.497799 | + | 0.522076i | ||||
\(566\) | 2.12495 | + | 4.65300i | 0.0893184 | + | 0.195580i | ||||
\(567\) | −12.3219 | − | 20.3757i | −0.517473 | − | 0.855700i | ||||
\(568\) | −6.10803 | − | 1.79348i | −0.256287 | − | 0.0752528i | ||||
\(569\) | −25.2673 | − | 32.1299i | −1.05926 | − | 1.34696i | −0.934976 | − | 0.354711i | \(-0.884579\pi\) |
−0.124283 | − | 0.992247i | \(-0.539663\pi\) | |||||||
\(570\) | 8.88005 | − | 22.0437i | 0.371944 | − | 0.923310i | ||||
\(571\) | −12.7479 | − | 10.0250i | −0.533482 | − | 0.419535i | 0.314738 | − | 0.949178i | \(-0.398083\pi\) |
−0.848220 | + | 0.529644i | \(0.822326\pi\) | |||||||
\(572\) | −1.32050 | + | 27.7207i | −0.0552128 | + | 1.15906i | ||||
\(573\) | −30.4038 | − | 8.99845i | −1.27014 | − | 0.375916i | ||||
\(574\) | −3.11235 | − | 9.56770i | −0.129907 | − | 0.399348i | ||||
\(575\) | 4.39030 | + | 0.879738i | 0.183088 | + | 0.0366876i | ||||
\(576\) | −2.98762 | + | 0.272315i | −0.124484 | + | 0.0113465i | ||||
\(577\) | 0.207821 | + | 1.07828i | 0.00865171 | + | 0.0448893i | 0.985998 | − | 0.166757i | \(-0.0533296\pi\) |
−0.977346 | + | 0.211646i | \(0.932117\pi\) | |||||||
\(578\) | −2.00093 | − | 3.88126i | −0.0832276 | − | 0.161439i | ||||
\(579\) | −28.2357 | − | 20.1982i | −1.17343 | − | 0.839409i | ||||
\(580\) | 9.37858 | + | 4.28305i | 0.389424 | + | 0.177844i | ||||
\(581\) | 21.4257 | + | 1.42257i | 0.888889 | + | 0.0590180i | ||||
\(582\) | 7.70661 | + | 26.4567i | 0.319449 | + | 1.09667i | ||||
\(583\) | −15.0351 | − | 7.75115i | −0.622691 | − | 0.321020i | ||||
\(584\) | 6.03066 | + | 0.575858i | 0.249551 | + | 0.0238292i | ||||
\(585\) | 28.7608 | − | 36.2502i | 1.18911 | − | 1.49876i | ||||
\(586\) | −5.18546 | + | 26.9047i | −0.214209 | + | 1.11142i | ||||
\(587\) | 4.06652 | − | 4.69301i | 0.167843 | − | 0.193701i | −0.665596 | − | 0.746312i | \(-0.731823\pi\) |
0.833440 | + | 0.552610i | \(0.186368\pi\) | |||||||
\(588\) | −6.95306 | + | 9.93252i | −0.286739 | + | 0.409610i | ||||
\(589\) | 0.190736 | + | 0.417654i | 0.00785915 | + | 0.0172091i | ||||
\(590\) | −10.9015 | + | 21.1459i | −0.448807 | + | 0.870565i | ||||
\(591\) | 3.95521 | − | 16.1518i | 0.162696 | − | 0.664398i | ||||
\(592\) | 6.41345 | + | 2.56756i | 0.263591 | + | 0.105526i | ||||
\(593\) | −1.63676 | + | 0.156292i | −0.0672137 | + | 0.00641813i | −0.128609 | − | 0.991695i | \(-0.541051\pi\) |
0.0613950 | + | 0.998114i | \(0.480445\pi\) | |||||||
\(594\) | 0.146984 | − | 22.7728i | 0.00603083 | − | 0.934378i | ||||
\(595\) | −20.9573 | + | 21.1723i | −0.859167 | + | 0.867979i | ||||
\(596\) | 12.3630 | − | 10.7126i | 0.506407 | − | 0.438804i | ||||
\(597\) | −21.0898 | − | 10.9300i | −0.863148 | − | 0.447337i | ||||
\(598\) | −12.8184 | + | 27.5301i | −0.524183 | + | 1.12579i | ||||
\(599\) | 4.34278 | + | 2.50730i | 0.177441 | + | 0.102446i | 0.586090 | − | 0.810246i | \(-0.300667\pi\) |
−0.408649 | + | 0.912692i | \(0.634000\pi\) | |||||||
\(600\) | 0.377866 | + | 1.57234i | 0.0154263 | + | 0.0641906i | ||||
\(601\) | −3.05539 | + | 4.75427i | −0.124632 | + | 0.193931i | −0.897962 | − | 0.440072i | \(-0.854953\pi\) |
0.773331 | + | 0.634003i | \(0.218589\pi\) | |||||||
\(602\) | 26.9826 | − | 4.67903i | 1.09973 | − | 0.190703i | ||||
\(603\) | 17.5058 | + | 20.3793i | 0.712893 | + | 0.829911i | ||||
\(604\) | 4.74965 | − | 3.73516i | 0.193260 | − | 0.151982i | ||||
\(605\) | 14.4706 | − | 13.7977i | 0.588313 | − | 0.560955i | ||||
\(606\) | 10.8750 | + | 15.3416i | 0.441769 | + | 0.623211i | ||||
\(607\) | −9.46967 | − | 6.74332i | −0.384362 | − | 0.273703i | 0.371501 | − | 0.928432i | \(-0.378843\pi\) |
−0.755863 | + | 0.654729i | \(0.772783\pi\) | |||||||
\(608\) | −5.40456 | + | 1.58692i | −0.219184 | + | 0.0643582i | ||||
\(609\) | 14.9204 | − | 12.3936i | 0.604606 | − | 0.502212i | ||||
\(610\) | −18.9513 | + | 21.8710i | −0.767315 | + | 0.885529i | ||||
\(611\) | 2.64258 | − | 2.77145i | 0.106907 | − | 0.112121i | ||||
\(612\) | −6.98523 | + | 11.9794i | −0.282361 | + | 0.484240i | ||||
\(613\) | −2.18782 | − | 45.9280i | −0.0883652 | − | 1.85501i | −0.414949 | − | 0.909845i | \(-0.636201\pi\) |
0.326584 | − | 0.945168i | \(-0.394102\pi\) | |||||||
\(614\) | 4.09457 | + | 16.8781i | 0.165244 | + | 0.681143i | ||||
\(615\) | −12.1481 | + | 10.4807i | −0.489858 | + | 0.422622i | ||||
\(616\) | −10.6359 | + | 4.61892i | −0.428533 | + | 0.186102i | ||||
\(617\) | 0.212310 | + | 0.0305256i | 0.00854728 | + | 0.00122891i | 0.146587 | − | 0.989198i | \(-0.453171\pi\) |
−0.138040 | + | 0.990427i | \(0.544080\pi\) | |||||||
\(618\) | 12.1864 | − | 7.00090i | 0.490208 | − | 0.281617i | ||||
\(619\) | −8.45530 | − | 43.8703i | −0.339847 | − | 1.76329i | −0.602222 | − | 0.798328i | \(-0.705718\pi\) |
0.262375 | − | 0.964966i | \(-0.415494\pi\) | |||||||
\(620\) | −0.171958 | − | 0.0992803i | −0.00690602 | − | 0.00398719i | ||||
\(621\) | 9.58056 | − | 23.0046i | 0.384455 | − | 0.923144i | ||||
\(622\) | 21.4927i | 0.861778i | ||||||||
\(623\) | 0.396312 | + | 0.238800i | 0.0158779 | + | 0.00956733i | ||||
\(624\) | −10.9676 | − | 0.0235961i | −0.439056 | − | 0.000944599i | ||||
\(625\) | −26.7338 | + | 10.7026i | −1.06935 | + | 0.428103i | ||||
\(626\) | −4.02722 | − | 5.65544i | −0.160960 | − | 0.226037i | ||||
\(627\) | −8.00175 | − | 42.0031i | −0.319559 | − | 1.67744i | ||||
\(628\) | −4.02293 | + | 0.975952i | −0.160532 | + | 0.0389447i | ||||
\(629\) | 26.8638 | − | 17.2643i | 1.07113 | − | 0.688373i | ||||
\(630\) | 18.8958 | + | 4.09473i | 0.752828 | + | 0.163138i | ||||
\(631\) | 39.2080 | − | 11.5125i | 1.56084 | − | 0.458305i | 0.616525 | − | 0.787335i | \(-0.288540\pi\) |
0.944319 | + | 0.329030i | \(0.106722\pi\) | |||||||
\(632\) | −2.43565 | + | 12.6374i | −0.0968850 | + | 0.502687i | ||||
\(633\) | 5.21161 | − | 6.59783i | 0.207143 | − | 0.262240i | ||||
\(634\) | 3.62643 | − | 14.9483i | 0.144024 | − | 0.593674i | ||||
\(635\) | 2.38746 | − | 3.35272i | 0.0947435 | − | 0.133049i | ||||
\(636\) | 2.79014 | − | 6.07493i | 0.110636 | − | 0.240887i | ||||
\(637\) | −28.6835 | + | 33.7932i | −1.13648 | + | 1.33893i | ||||
\(638\) | 18.3616 | − | 2.64000i | 0.726943 | − | 0.104519i | ||||
\(639\) | 18.0203 | + | 6.32384i | 0.712872 | + | 0.250167i | ||||
\(640\) | 1.50578 | − | 1.91475i | 0.0595211 | − | 0.0756872i | ||||
\(641\) | 12.7557 | + | 24.7427i | 0.503821 | + | 0.977276i | 0.994380 | + | 0.105868i | \(0.0337622\pi\) |
−0.490559 | + | 0.871408i | \(0.663207\pi\) | |||||||
\(642\) | −9.28411 | + | 2.23116i | −0.366415 | + | 0.0880570i | ||||
\(643\) | 11.0653i | 0.436375i | 0.975907 | + | 0.218187i | \(0.0700144\pi\) | ||||
−0.975907 | + | 0.218187i | \(0.929986\pi\) | |||||||
\(644\) | −12.6856 | + | 0.273267i | −0.499884 | + | 0.0107682i | ||||
\(645\) | −23.5311 | − | 36.7888i | −0.926534 | − | 1.44856i | ||||
\(646\) | −8.51580 | + | 24.6048i | −0.335050 | + | 0.968062i | ||||
\(647\) | −32.3705 | + | 16.6882i | −1.27262 | + | 0.656079i | −0.956248 | − | 0.292557i | \(-0.905494\pi\) |
−0.316368 | + | 0.948637i | \(0.602463\pi\) | |||||||
\(648\) | 8.99316 | − | 0.350859i | 0.353285 | − | 0.0137830i | ||||
\(649\) | 4.06882 | + | 42.6106i | 0.159715 | + | 1.67261i | ||||
\(650\) | 0.841359 | + | 5.85178i | 0.0330008 | + | 0.229526i | ||||
\(651\) | −0.308731 | + | 0.210286i | −0.0121001 | + | 0.00824177i | ||||
\(652\) | −0.339233 | + | 0.218012i | −0.0132854 | + | 0.00853799i | ||||
\(653\) | 26.9584 | + | 19.1970i | 1.05496 | + | 0.751237i | 0.969497 | − | 0.245104i | \(-0.0788221\pi\) |
0.0854680 | + | 0.996341i | \(0.472761\pi\) | |||||||
\(654\) | −8.59524 | − | 25.0083i | −0.336100 | − | 0.977900i | ||||
\(655\) | 10.0592 | + | 29.0641i | 0.393045 | + | 1.13563i | ||||
\(656\) | 3.73405 | + | 0.719680i | 0.145790 | + | 0.0280988i | ||||
\(657\) | −17.9780 | − | 2.66385i | −0.701388 | − | 0.103927i | ||||
\(658\) | 1.52651 | + | 0.479402i | 0.0595096 | + | 0.0186890i | ||||
\(659\) | −21.9104 | − | 34.0933i | −0.853510 | − | 1.32809i | −0.943237 | − | 0.332121i | \(-0.892236\pi\) |
0.0897273 | − | 0.995966i | \(-0.471400\pi\) | |||||||
\(660\) | 13.3552 | + | 12.7891i | 0.519850 | + | 0.497816i | ||||
\(661\) | −11.6672 | + | 29.1434i | −0.453803 | + | 1.13355i | 0.508378 | + | 0.861134i | \(0.330245\pi\) |
−0.962181 | + | 0.272411i | \(0.912179\pi\) | |||||||
\(662\) | −0.683200 | + | 0.486504i | −0.0265533 | + | 0.0189085i | ||||
\(663\) | −29.4959 | + | 41.2331i | −1.14553 | + | 1.60136i | ||||
\(664\) | −4.38784 | + | 6.82761i | −0.170281 | + | 0.264963i | ||||
\(665\) | 36.2955 | + | 0.678733i | 1.40748 | + | 0.0263201i | ||||
\(666\) | −18.8148 | − | 8.69048i | −0.729060 | − | 0.336749i | ||||
\(667\) | 19.6910 | + | 4.93080i | 0.762440 | + | 0.190921i | ||||
\(668\) | −6.53406 | + | 11.3173i | −0.252811 | + | 0.437881i | ||||
\(669\) | −5.63814 | + | 5.35285i | −0.217983 | + | 0.206953i | ||||
\(670\) | −21.7895 | − | 1.03796i | −0.841801 | − | 0.0400999i | ||||
\(671\) | −7.41008 | + | 51.5382i | −0.286063 | + | 1.98961i | ||||
\(672\) | −2.01448 | − | 4.11605i | −0.0777104 | − | 0.158780i | ||||
\(673\) | 0.107194 | + | 0.745553i | 0.00413204 | + | 0.0287390i | 0.991783 | − | 0.127930i | \(-0.0408334\pi\) |
−0.987651 | + | 0.156669i | \(0.949924\pi\) | |||||||
\(674\) | −18.3497 | + | 4.45160i | −0.706806 | + | 0.171469i | ||||
\(675\) | −0.887354 | − | 4.76948i | −0.0341543 | − | 0.183577i | ||||
\(676\) | −26.9737 | − | 2.57567i | −1.03745 | − | 0.0990644i | ||||
\(677\) | 27.0073 | + | 25.7515i | 1.03798 | + | 0.989709i | 0.999954 | − | 0.00956816i | \(-0.00304569\pi\) |
0.0380224 | + | 0.999277i | \(0.487894\pi\) | |||||||
\(678\) | −12.0643 | − | 1.76108i | −0.463325 | − | 0.0676338i | ||||
\(679\) | −33.5680 | + | 25.3970i | −1.28822 | + | 0.974647i | ||||
\(680\) | −3.17224 | − | 10.8037i | −0.121650 | − | 0.414301i | ||||
\(681\) | 5.47764 | + | 0.272745i | 0.209904 | + | 0.0104516i | ||||
\(682\) | −0.356848 | + | 0.0169988i | −0.0136644 | + | 0.000650916i | ||||
\(683\) | 18.7215 | + | 19.6346i | 0.716360 | + | 0.751296i | 0.976791 | − | 0.214196i | \(-0.0687132\pi\) |
−0.260431 | + | 0.965492i | \(0.583865\pi\) | |||||||
\(684\) | 16.4388 | − | 3.91320i | 0.628555 | − | 0.149625i | ||||
\(685\) | −44.7742 | − | 20.4477i | −1.71073 | − | 0.781265i | ||||
\(686\) | −17.9605 | − | 4.51904i | −0.685734 | − | 0.172538i | ||||
\(687\) | −36.0383 | − | 0.0775340i | −1.37495 | − | 0.00295811i | ||||
\(688\) | −3.38537 | + | 9.78140i | −0.129066 | + | 0.372912i | ||||
\(689\) | 12.2198 | − | 21.1654i | 0.465538 | − | 0.806336i | ||||
\(690\) | 8.23006 | + | 18.4848i | 0.313313 | + | 0.703704i | ||||
\(691\) | −32.0211 | + | 18.4874i | −1.21814 | + | 0.703293i | −0.964519 | − | 0.264012i | \(-0.914954\pi\) |
−0.253619 | + | 0.967304i | \(0.581621\pi\) | |||||||
\(692\) | −9.77217 | − | 11.2777i | −0.371482 | − | 0.428713i | ||||
\(693\) | 32.5837 | − | 12.1827i | 1.23775 | − | 0.462784i | ||||
\(694\) | 1.29954 | − | 9.03852i | 0.0493300 | − | 0.343097i | ||||
\(695\) | −1.82512 | − | 19.1136i | −0.0692309 | − | 0.725018i | ||||
\(696\) | 1.37194 | + | 7.20162i | 0.0520031 | + | 0.272977i | ||||
\(697\) | 12.7218 | − | 12.1302i | 0.481872 | − | 0.459464i | ||||
\(698\) | −1.96704 | − | 1.01408i | −0.0744535 | − | 0.0383835i | ||||
\(699\) | −20.7277 | − | 13.3840i | −0.783994 | − | 0.506229i | ||||
\(700\) | −2.03858 | + | 1.39497i | −0.0770512 | + | 0.0527249i | ||||
\(701\) | −4.32635 | − | 3.74881i | −0.163404 | − | 0.141590i | 0.569321 | − | 0.822116i | \(-0.307206\pi\) |
−0.732725 | + | 0.680525i | \(0.761752\pi\) | |||||||
\(702\) | 32.8549 | + | 1.77767i | 1.24003 | + | 0.0670940i | ||||
\(703\) | −37.8157 | − | 9.17400i | −1.42625 | − | 0.346004i | ||||
\(704\) | 0.416603 | − | 4.36287i | 0.0157013 | − | 0.164432i | ||||
\(705\) | −0.237071 | − | 2.54047i | −0.00892862 | − | 0.0956797i | ||||
\(706\) | 8.75465 | − | 29.8156i | 0.329485 | − | 1.12212i | ||||
\(707\) | −15.9792 | + | 23.8706i | −0.600958 | + | 0.897748i | ||||
\(708\) | −16.7493 | + | 2.37141i | −0.629476 | + | 0.0891232i | ||||
\(709\) | 2.52742 | − | 1.01182i | 0.0949191 | − | 0.0379999i | −0.323717 | − | 0.946154i | \(-0.604933\pi\) |
0.418636 | + | 0.908154i | \(0.362508\pi\) | |||||||
\(710\) | −13.7829 | + | 7.10560i | −0.517264 | + | 0.266668i | ||||
\(711\) | 9.26397 | − | 37.4820i | 0.347426 | − | 1.40568i | ||||
\(712\) | −0.151453 | + | 0.0874416i | −0.00567595 | + | 0.00327701i | ||||
\(713\) | −0.368475 | − | 0.130577i | −0.0137995 | − | 0.00489014i | ||||
\(714\) | −20.8995 | − | 3.45105i | −0.782145 | − | 0.129152i | ||||
\(715\) | 44.2695 | + | 51.0898i | 1.65559 | + | 1.91065i | ||||
\(716\) | −14.1544 | − | 0.674258i | −0.528976 | − | 0.0251982i | ||||
\(717\) | 19.9181 | + | 1.94520i | 0.743856 | + | 0.0726449i | ||||
\(718\) | 2.11729 | + | 2.97332i | 0.0790167 | + | 0.110963i | ||||
\(719\) | 9.22953 | − | 7.25818i | 0.344203 | − | 0.270684i | −0.431059 | − | 0.902324i | \(-0.641860\pi\) |
0.775262 | + | 0.631639i | \(0.217618\pi\) | |||||||
\(720\) | −4.80926 | + | 5.50216i | −0.179230 | + | 0.205053i | ||||
\(721\) | 16.6240 | + | 13.5839i | 0.619111 | + | 0.505892i | ||||
\(722\) | 11.5775 | − | 5.28725i | 0.430868 | − | 0.196771i | ||||
\(723\) | 27.7150 | + | 5.40349i | 1.03073 | + | 0.200958i | ||||
\(724\) | −8.43500 | + | 2.91938i | −0.313484 | + | 0.108498i | ||||
\(725\) | 3.73441 | − | 1.29249i | 0.138692 | − | 0.0480019i | ||||
\(726\) | 13.9542 | + | 2.72061i | 0.517890 | + | 0.100971i | ||||
\(727\) | −17.6940 | + | 8.08060i | −0.656236 | + | 0.299693i | −0.715565 | − | 0.698546i | \(-0.753831\pi\) |
0.0593299 | + | 0.998238i | \(0.481104\pi\) | |||||||
\(728\) | −5.93470 | − | 15.6670i | −0.219955 | − | 0.580656i | ||||
\(729\) | −26.9978 | − | 0.348522i | −0.999917 | − | 0.0129082i | ||||
\(730\) | 11.5997 | − | 9.12214i | 0.429326 | − | 0.337625i | ||||
\(731\) | 27.7529 | + | 38.9734i | 1.02648 | + | 1.44149i | ||||
\(732\) | −20.4799 | − | 2.00007i | −0.756960 | − | 0.0739247i | ||||
\(733\) | 3.87775 | + | 0.184720i | 0.143228 | + | 0.00682279i | 0.119073 | − | 0.992885i | \(-0.462008\pi\) |
0.0241545 | + | 0.999708i | \(0.492311\pi\) | |||||||
\(734\) | 2.05774 | + | 2.37476i | 0.0759527 | + | 0.0876541i | ||||
\(735\) | 4.43836 | + | 29.1984i | 0.163711 | + | 1.07700i | ||||
\(736\) | 2.22891 | − | 4.24641i | 0.0821586 | − | 0.156525i | ||||
\(737\) | −33.9901 | + | 19.6242i | −1.25204 | + | 0.722866i | ||||
\(738\) | −11.0751 | − | 2.73729i | −0.407679 | − | 0.100761i | ||||
\(739\) | −25.7125 | + | 13.2557i | −0.945849 | + | 0.487619i | −0.860905 | − | 0.508767i | \(-0.830102\pi\) |
−0.0849447 | + | 0.996386i | \(0.527071\pi\) | |||||||
\(740\) | 15.6226 | − | 6.25433i | 0.574297 | − | 0.229914i | ||||
\(741\) | 61.1677 | − | 8.66031i | 2.24705 | − | 0.318144i | ||||
\(742\) | 10.1891 | + | 0.676508i | 0.374054 | + | 0.0248354i | ||||
\(743\) | 4.26954 | − | 14.5407i | 0.156634 | − | 0.533448i | −0.843358 | − | 0.537352i | \(-0.819425\pi\) |
0.999992 | + | 0.00390448i | \(0.00124284\pi\) | |||||||
\(744\) | −0.0131182 | − | 0.140576i | −0.000480937 | − | 0.00515375i | ||||
\(745\) | 3.78778 | − | 39.6675i | 0.138774 | − | 1.45330i | ||||
\(746\) | 17.5597 | + | 4.25994i | 0.642906 | + | 0.155967i | ||||
\(747\) | 14.2084 | − | 19.7723i | 0.519859 | − | 0.723432i | ||||
\(748\) | −15.3105 | − | 13.2666i | −0.559807 | − | 0.485076i | ||||
\(749\) | −8.23680 | − | 12.0371i | −0.300966 | − | 0.439826i | ||||
\(750\) | −14.4129 | − | 9.30650i | −0.526286 | − | 0.339825i | ||||
\(751\) | 13.2246 | + | 6.81775i | 0.482572 | + | 0.248783i | 0.682306 | − | 0.731067i | \(-0.260977\pi\) |
−0.199733 | + | 0.979850i | \(0.564008\pi\) | |||||||
\(752\) | −0.437678 | + | 0.417326i | −0.0159605 | + | 0.0152183i | ||||
\(753\) | −6.17452 | − | 32.4115i | −0.225012 | − | 1.18114i | ||||
\(754\) | 2.54767 | + | 26.6804i | 0.0927806 | + | 0.971643i | ||||
\(755\) | 2.09469 | − | 14.5689i | 0.0762337 | − | 0.530217i | ||||
\(756\) | 5.39470 | + | 12.6450i | 0.196203 | + | 0.459896i | ||||
\(757\) | 24.0759 | + | 27.7851i | 0.875054 | + | 1.00987i | 0.999844 | + | 0.0176826i | \(0.00562882\pi\) |
−0.124790 | + | 0.992183i | \(0.539826\pi\) | |||||||
\(758\) | 8.85738 | − | 5.11381i | 0.321714 | − | 0.185742i | ||||
\(759\) | 30.4376 | + | 19.9728i | 1.10482 | + | 0.724968i | ||||
\(760\) | −6.86040 | + | 11.8826i | −0.248853 | + | 0.431026i | ||||
\(761\) | 4.86494 | − | 14.0563i | 0.176354 | − | 0.509541i | −0.821833 | − | 0.569728i | \(-0.807049\pi\) |
0.998187 | + | 0.0601872i | \(0.0191698\pi\) | |||||||
\(762\) | 2.92661 | + | 0.00629641i | 0.106020 | + | 0.000228095i | ||||
\(763\) | 31.0170 | − | 25.8771i | 1.12289 | − | 0.936813i | ||||
\(764\) | 16.6520 | + | 7.60471i | 0.602448 | + | 0.275129i | ||||
\(765\) | 7.82244 | + | 32.8610i | 0.282821 | + | 1.18809i | ||||
\(766\) | −0.381876 | − | 0.400500i | −0.0137977 | − | 0.0144706i | ||||
\(767\) | −61.7740 | + | 2.94266i | −2.23053 | + | 0.106253i | ||||
\(768\) | 1.72991 | + | 0.0861363i | 0.0624227 | + | 0.00310817i | ||||
\(769\) | 12.1588 | + | 41.4092i | 0.438459 | + | 1.49325i | 0.821869 | + | 0.569676i | \(0.192931\pi\) |
−0.383410 | + | 0.923578i | \(0.625250\pi\) | |||||||
\(770\) | −10.9863 | + | 26.0216i | −0.395919 | + | 0.937752i | ||||
\(771\) | −32.4424 | − | 4.73577i | −1.16838 | − | 0.170555i | ||||
\(772\) | 14.5061 | + | 13.8316i | 0.522087 | + | 0.497809i | ||||
\(773\) | −14.1917 | − | 1.35514i | −0.510439 | − | 0.0487410i | −0.163341 | − | 0.986570i | \(-0.552227\pi\) |
−0.347098 | + | 0.937829i | \(0.612833\pi\) | |||||||
\(774\) | 11.6648 | − | 28.7778i | 0.419283 | − | 1.03440i | ||||
\(775\) | −0.0739593 | + | 0.0179423i | −0.00265670 | + | 0.000644508i | ||||
\(776\) | −2.26418 | − | 15.7477i | −0.0812793 | − | 0.565310i | ||||
\(777\) | 2.16527 | − | 31.5837i | 0.0776785 | − | 1.13306i | ||||
\(778\) | 4.92981 | − | 34.2876i | 0.176742 | − | 1.22927i | ||||
\(779\) | −21.3957 | − | 1.01920i | −0.766582 | − | 0.0365168i | ||||
\(780\) | −19.3750 | + | 18.3946i | −0.693736 | + | 0.658633i | ||||
\(781\) | −13.9500 | + | 24.1620i | −0.499169 | + | 0.864585i | ||||
\(782\) | −10.0127 | − | 19.7782i | −0.358055 | − | 0.707268i | ||||
\(783\) | −2.98942 | − | 21.7893i | −0.106833 | − | 0.778686i | ||||
\(784\) | 4.77861 | − | 5.11516i | 0.170665 | − | 0.182684i | ||||
\(785\) | −5.45167 | + | 8.48296i | −0.194578 | + | 0.302770i | ||||
\(786\) | −12.7235 | + | 17.7865i | −0.453831 | + | 0.634423i | ||||
\(787\) | 2.76625 | − | 1.96983i | 0.0986060 | − | 0.0702170i | −0.529690 | − | 0.848191i | \(-0.677692\pi\) |
0.628296 | + | 0.777974i | \(0.283753\pi\) | |||||||
\(788\) | −3.56825 | + | 8.91307i | −0.127114 | + | 0.317515i | ||||
\(789\) | 8.30341 | + | 7.95146i | 0.295609 | + | 0.283079i | ||||
\(790\) | 16.9491 | + | 26.3733i | 0.603021 | + | 0.938319i | ||||
\(791\) | −4.05156 | − | 18.1777i | −0.144057 | − | 0.646326i | ||||
\(792\) | −1.92716 | + | 13.0061i | −0.0684785 | + | 0.462153i | ||||
\(793\) | −73.8689 | − | 14.2371i | −2.62316 | − | 0.505573i | ||||
\(794\) | −5.29186 | − | 15.2898i | −0.187801 | − | 0.542615i | ||||
\(795\) | −5.29289 | − | 15.3999i | −0.187719 | − | 0.546179i | ||||
\(796\) | 11.1713 | + | 7.95507i | 0.395957 | + | 0.281960i | ||||
\(797\) | −7.06890 | + | 4.54290i | −0.250393 | + | 0.160918i | −0.659817 | − | 0.751426i | \(-0.729366\pi\) |
0.409424 | + | 0.912344i | \(0.365730\pi\) | |||||||
\(798\) | 14.5311 | + | 21.3337i | 0.514394 | + | 0.755206i | ||||
\(799\) | 0.397827 | + | 2.76695i | 0.0140741 | + | 0.0978877i | ||||
\(800\) | −0.0887479 | − | 0.929410i | −0.00313771 | − | 0.0328596i | ||||
\(801\) | 0.467357 | − | 0.238400i | 0.0165133 | − | 0.00842344i | ||||
\(802\) | 2.65624 | − | 1.36939i | 0.0937950 | − | 0.0483547i | ||||
\(803\) | 8.68394 | − | 25.0906i | 0.306450 | − | 0.885428i | ||||
\(804\) | −8.35777 | − | 13.0667i | −0.294756 | − | 0.460826i | ||||
\(805\) | −21.9048 | + | 21.8059i | −0.772041 | + | 0.768557i | ||||
\(806\) | − | 0.516161i | − | 0.0181810i | ||||||
\(807\) | −1.82053 | + | 0.437511i | −0.0640857 | + | 0.0154011i | ||||
\(808\) | −4.97503 | − | 9.65020i | −0.175021 | − | 0.339493i | ||||
\(809\) | −26.6220 | + | 33.8527i | −0.935981 | + | 1.19020i | 0.0455635 | + | 0.998961i | \(0.485492\pi\) |
−0.981544 | + | 0.191235i | \(0.938751\pi\) | |||||||
\(810\) | 15.2647 | − | 15.7358i | 0.536347 | − | 0.552898i | ||||
\(811\) | 18.0190 | − | 2.59075i | 0.632734 | − | 0.0909734i | 0.181517 | − | 0.983388i | \(-0.441899\pi\) |
0.451217 | + | 0.892414i | \(0.350990\pi\) | |||||||
\(812\) | −9.53233 | + | 5.87717i | −0.334519 | + | 0.206248i | ||||
\(813\) | 4.91242 | − | 10.6957i | 0.172286 | − | 0.375116i | ||||
\(814\) | 17.5625 | − | 24.6630i | 0.615564 | − | 0.864439i | ||||
\(815\) | −0.231579 | + | 0.954582i | −0.00811186 | + | 0.0334375i | ||||
\(816\) | 4.96266 | − | 6.28267i | 0.173728 | − | 0.219938i | ||||
\(817\) | 11.0338 | − | 57.2490i | 0.386025 | − | 2.00289i | ||||
\(818\) | 26.6154 | − | 7.81499i | 0.930586 | − | 0.273245i | ||||
\(819\) | 15.3418 | + | 47.8613i | 0.536084 | + | 1.67241i | ||||
\(820\) | 7.79270 | − | 5.00806i | 0.272133 | − | 0.174889i | ||||
\(821\) | −23.3704 | + | 5.66959i | −0.815631 | + | 0.197870i | −0.621811 | − | 0.783167i | \(-0.713603\pi\) |
−0.193820 | + | 0.981037i | \(0.562088\pi\) | |||||||
\(822\) | −6.54974 | − | 34.3812i | −0.228449 | − | 1.19918i | ||||
\(823\) | 30.9185 | + | 43.4189i | 1.07775 | + | 1.51349i | 0.840325 | + | 0.542083i | \(0.182364\pi\) |
0.237426 | + | 0.971406i | \(0.423696\pi\) | |||||||
\(824\) | −7.53296 | + | 3.01574i | −0.262423 | + | 0.105058i | ||||
\(825\) | 7.08731 | + | 0.0152479i | 0.246748 | + | 0.000530863i | ||||
\(826\) | −12.4994 | − | 22.6158i | −0.434909 | − | 0.786906i | ||||
\(827\) | − | 7.41923i | − | 0.257992i | −0.991645 | − | 0.128996i | \(-0.958825\pi\) | ||
0.991645 | − | 0.128996i | \(-0.0411754\pi\) | |||||||
\(828\) | −7.33862 | + | 12.3752i | −0.255035 | + | 0.430067i | ||||
\(829\) | −12.3739 | − | 7.14410i | −0.429765 | − | 0.248125i | 0.269482 | − | 0.963006i | \(-0.413148\pi\) |
−0.699247 | + | 0.714881i | \(0.746481\pi\) | |||||||
\(830\) | 3.74146 | + | 19.4125i | 0.129868 | + | 0.673819i | ||||
\(831\) | 28.8005 | − | 16.5455i | 0.999080 | − | 0.573957i | ||||
\(832\) | 6.26772 | + | 0.901162i | 0.217294 | + | 0.0312422i | ||||
\(833\) | −6.44745 | − | 31.7080i | −0.223391 | − | 1.09862i | ||||
\(834\) | 10.3371 | − | 8.91828i | 0.357944 | − | 0.308815i | ||||
\(835\) | 7.50485 | + | 30.9354i | 0.259716 | + | 1.07056i | ||||
\(836\) | 1.17464 | + | 24.6587i | 0.0406257 | + | 0.852838i | ||||
\(837\) | 0.0174227 | + | 0.423201i | 0.000602216 | + | 0.0146280i | ||||
\(838\) | −8.41504 | + | 8.82544i | −0.290693 | + | 0.304870i | ||||
\(839\) | −4.76133 | + | 5.49487i | −0.164379 | + | 0.189704i | −0.831963 | − | 0.554831i | \(-0.812783\pi\) |
0.667584 | + | 0.744535i | \(0.267329\pi\) | |||||||
\(840\) | −10.4704 | − | 3.87010i | −0.361262 | − | 0.133531i | ||||
\(841\) | −10.6358 | + | 3.12295i | −0.366752 | + | 0.107688i | ||||
\(842\) | 20.9767 | + | 14.9374i | 0.722905 | + | 0.514778i | ||||
\(843\) | −15.4829 | − | 21.8420i | −0.533260 | − | 0.752279i | ||||
\(844\) | −3.51321 | + | 3.34984i | −0.120930 | + | 0.115306i | ||||
\(845\) | −51.8828 | + | 40.8011i | −1.78482 | + | 1.40360i | ||||
\(846\) | 1.37622 | − | 1.18217i | 0.0473154 | − | 0.0406439i | ||||
\(847\) | 3.71051 | + | 21.3975i | 0.127495 | + | 0.735225i | ||||
\(848\) | −2.08666 | + | 3.24690i | −0.0716562 | + | 0.111499i | ||||
\(849\) | 2.07027 | + | 8.61461i | 0.0710514 | + | 0.295652i | ||||
\(850\) | −3.73747 | − | 2.15783i | −0.128194 | − | 0.0740129i | ||||
\(851\) | 28.0028 | − | 17.7063i | 0.959923 | − | 0.606964i | ||||
\(852\) | −9.78946 | − | 5.07351i | −0.335381 | − | 0.173815i | ||||
\(853\) | 33.1490 | − | 28.7238i | 1.13500 | − | 0.983482i | 0.135026 | − | 0.990842i | \(-0.456888\pi\) |
0.999973 | + | 0.00735953i | \(0.00234263\pi\) | |||||||
\(854\) | −8.29011 | − | 30.3195i | −0.283682 | − | 1.03751i | ||||
\(855\) | 22.4029 | − | 34.5319i | 0.766162 | − | 1.18097i | ||||
\(856\) | 5.48784 | − | 0.524025i | 0.187570 | − | 0.0179108i | ||||
\(857\) | 18.3383 | + | 7.34156i | 0.626425 | + | 0.250783i | 0.663084 | − | 0.748545i | \(-0.269247\pi\) |
−0.0366586 | + | 0.999328i | \(0.511671\pi\) | |||||||
\(858\) | −11.4329 | + | 46.6886i | −0.390314 | + | 1.59392i | ||||
\(859\) | −7.96239 | + | 15.4449i | −0.271673 | + | 0.526973i | −0.984720 | − | 0.174143i | \(-0.944284\pi\) |
0.713047 | + | 0.701116i | \(0.247315\pi\) | |||||||
\(860\) | 10.4740 | + | 22.9348i | 0.357160 | + | 0.782070i | ||||
\(861\) | −2.11990 | − | 17.2971i | −0.0722461 | − | 0.589483i | ||||
\(862\) | −0.875576 | + | 1.01047i | −0.0298222 | + | 0.0344167i | ||||
\(863\) | −0.847940 | + | 4.39953i | −0.0288642 | + | 0.149762i | −0.993501 | − | 0.113819i | \(-0.963692\pi\) |
0.964637 | + | 0.263581i | \(0.0849036\pi\) | |||||||
\(864\) | −5.16933 | − | 0.527301i | −0.175864 | − | 0.0179391i | ||||
\(865\) | −36.1853 | − | 3.45527i | −1.23034 | − | 0.117483i | ||||
\(866\) | −31.2396 | − | 16.1051i | −1.06156 | − | 0.547274i | ||||
\(867\) | −2.11521 | − | 7.26151i | −0.0718363 | − | 0.246614i | ||||
\(868\) | 0.193506 | − | 0.0952225i | 0.00656801 | − | 0.00323206i | ||||
\(869\) | 51.3080 | + | 23.4316i | 1.74051 | + | 0.794862i | ||||
\(870\) | 14.5243 | + | 10.3899i | 0.492421 | + | 0.352251i | ||||
\(871\) | −25.9843 | − | 50.4025i | −0.880445 | − | 1.70782i | ||||
\(872\) | 2.88940 | + | 14.9916i | 0.0978473 | + | 0.507680i | ||||
\(873\) | 4.33244 | + | 47.5319i | 0.146631 | + | 1.60871i | ||||
\(874\) | −9.02303 | + | 25.4621i | −0.305208 | + | 0.861270i | ||||
\(875\) | 5.43995 | − | 25.6361i | 0.183904 | − | 0.866657i | ||||
\(876\) | 10.0615 | + | 2.97785i | 0.339947 | + | 0.100612i | ||||
\(877\) | −1.68000 | + | 35.2675i | −0.0567295 | + | 1.19090i | 0.773618 | + | 0.633652i | \(0.218445\pi\) |
−0.830347 | + | 0.557246i | \(0.811858\pi\) | |||||||
\(878\) | 15.9887 | + | 12.5737i | 0.539593 | + | 0.424341i | ||||
\(879\) | −17.7331 | + | 44.0204i | −0.598123 | + | 1.48477i | ||||
\(880\) | −6.59939 | − | 8.39181i | −0.222465 | − | 0.282888i | ||||
\(881\) | −20.4698 | − | 6.01047i | −0.689645 | − | 0.202498i | −0.0819121 | − | 0.996640i | \(-0.526103\pi\) |
−0.607733 | + | 0.794142i | \(0.707921\pi\) | |||||||
\(882\) | −15.1126 | + | 14.5811i | −0.508869 | + | 0.490971i | ||||
\(883\) | −3.49483 | − | 7.65262i | −0.117610 | − | 0.257531i | 0.841667 | − | 0.539997i | \(-0.181575\pi\) |
−0.959277 | + | 0.282466i | \(0.908847\pi\) | |||||||
\(884\) | 20.1985 | − | 21.1836i | 0.679350 | − | 0.712482i | ||||
\(885\) | −25.5418 | + | 32.3357i | −0.858579 | + | 1.08695i | ||||
\(886\) | 2.12755 | + | 6.14715i | 0.0714764 | + | 0.206518i | ||||
\(887\) | 24.2298 | + | 23.1031i | 0.813557 | + | 0.775725i | 0.977543 | − | 0.210737i | \(-0.0675865\pi\) |
−0.163985 | + | 0.986463i | \(0.552435\pi\) | |||||||
\(888\) | 10.0521 | + | 6.49070i | 0.337327 | + | 0.217814i | ||||
\(889\) | 1.58362 | + | 4.18059i | 0.0531130 | + | 0.140213i | ||||
\(890\) | −0.120018 | + | 0.408743i | −0.00402301 | + | 0.0137011i | ||||
\(891\) | 7.79794 | − | 38.6659i | 0.261241 | − | 1.29536i | ||||
\(892\) | 3.65628 | − | 2.60362i | 0.122421 | − | 0.0871757i | ||||
\(893\) | 2.10569 | − | 2.67761i | 0.0704643 | − | 0.0896027i | ||||
\(894\) | 24.5682 | − | 14.1141i | 0.821685 | − | 0.472046i | ||||
\(895\) | −26.0869 | + | 22.6044i | −0.871990 | + | 0.755583i | ||||
\(896\) | 0.818442 | + | 2.51598i | 0.0273422 | + | 0.0840530i | ||||
\(897\) | −30.9167 | + | 42.5536i | −1.03228 | + | 1.42082i | ||||
\(898\) | 3.97611 | + | 6.88682i | 0.132684 | + | 0.229816i | ||||
\(899\) | −0.338784 | + | 0.0652953i | −0.0112991 | + | 0.00217772i | ||||
\(900\) | 0.121233 | + | 2.79829i | 0.00404111 | + | 0.0932763i | ||||
\(901\) | 6.63071 | + | 16.5627i | 0.220901 | + | 0.551784i | ||||
\(902\) | 6.92350 | − | 15.1604i | 0.230527 | − | 0.504785i | ||||
\(903\) | 47.4225 | + | 0.988875i | 1.57812 | + | 0.0329077i | ||||
\(904\) | 6.75399 | + | 1.98315i | 0.224634 | + | 0.0659586i | ||||
\(905\) | −9.96308 | + | 19.3257i | −0.331184 | + | 0.642407i | ||||
\(906\) | 9.31262 | − | 4.77566i | 0.309391 | − | 0.158661i | ||||
\(907\) | −0.408483 | + | 1.68379i | −0.0135635 | + | 0.0559094i | −0.978191 | − | 0.207707i | \(-0.933400\pi\) |
0.964628 | + | 0.263616i | \(0.0849152\pi\) | |||||||
\(908\) | −3.10921 | − | 0.599252i | −0.103183 | − | 0.0198869i | ||||
\(909\) | 13.4030 | + | 29.6859i | 0.444551 | + | 0.984620i | ||||
\(910\) | −36.7982 | − | 17.6440i | −1.21985 | − | 0.584893i | ||||
\(911\) | −35.8601 | + | 16.3767i | −1.18810 | + | 0.542586i | −0.908643 | − | 0.417574i | \(-0.862881\pi\) |
−0.279454 | + | 0.960159i | \(0.590153\pi\) | |||||||
\(912\) | −9.71397 | + | 0.906486i | −0.321662 | + | 0.0300168i | ||||
\(913\) | 24.5462 | + | 25.7433i | 0.812359 | + | 0.851978i | ||||
\(914\) | −12.2268 | + | 30.5412i | −0.404428 | + | 1.01021i | ||||
\(915\) | −39.4671 | + | 30.9001i | −1.30474 | + | 1.02153i | ||||
\(916\) | 20.5950 | + | 2.96111i | 0.680477 | + | 0.0978379i | ||||
\(917\) | −32.3106 | − | 8.48116i | −1.06699 | − | 0.280073i | ||||
\(918\) | −15.8458 | + | 18.0503i | −0.522988 | + | 0.595747i | ||||
\(919\) | −3.06286 | − | 5.30504i | −0.101035 | − | 0.174997i | 0.811077 | − | 0.584940i | \(-0.198882\pi\) |
−0.912111 | + | 0.409943i | \(0.865549\pi\) | |||||||
\(920\) | −3.20863 | − | 11.2329i | −0.105785 | − | 0.370338i | ||||
\(921\) | 1.36669 | + | 30.0506i | 0.0450341 | + | 0.990199i | ||||
\(922\) | 30.8281 | + | 10.6697i | 1.01527 | + | 0.351388i | ||||
\(923\) | −33.9109 | − | 21.7932i | −1.11619 | − | 0.717332i | ||||
\(924\) | −19.6124 | + | 4.32707i | −0.645202 | + | 0.142350i | ||||
\(925\) | 2.67937 | − | 5.86700i | 0.0880971 | − | 0.192906i | ||||
\(926\) | 20.7012 | + | 26.3237i | 0.680284 | + | 0.865052i | ||||
\(927\) | 23.0378 | − | 7.86262i | 0.756661 | − | 0.258242i | ||||
\(928\) | −0.201397 | − | 4.22784i | −0.00661117 | − | 0.138786i | ||||
\(929\) | 11.6549 | − | 16.3671i | 0.382386 | − | 0.536986i | −0.577862 | − | 0.816134i | \(-0.696113\pi\) |
0.960248 | + | 0.279149i | \(0.0900523\pi\) | |||||||
\(930\) | −0.259430 | − | 0.225776i | −0.00850704 | − | 0.00740350i | ||||
\(931\) | −22.5422 | + | 32.3497i | −0.738791 | + | 1.06022i | ||||
\(932\) | 10.7657 | + | 9.32856i | 0.352643 | + | 0.305567i | ||||
\(933\) | −7.12377 | + | 36.5384i | −0.233222 | + | 1.19621i | ||||
\(934\) | 2.27289 | − | 23.8028i | 0.0743713 | − | 0.778851i | ||||
\(935\) | −49.2924 | + | 2.34809i | −1.61203 | + | 0.0767906i | ||||
\(936\) | −18.6376 | − | 3.67534i | −0.609188 | − | 0.120132i | ||||
\(937\) | 43.8385 | − | 6.30302i | 1.43214 | − | 0.205911i | 0.617817 | − | 0.786322i | \(-0.288017\pi\) |
0.814323 | + | 0.580412i | \(0.197108\pi\) | |||||||
\(938\) | 14.1020 | − | 19.0397i | 0.460446 | − | 0.621670i | ||||
\(939\) | −4.97194 | − | 10.9493i | −0.162253 | − | 0.357317i | ||||
\(940\) | −0.0700936 | + | 1.47145i | −0.00228620 | + | 0.0479933i | ||||
\(941\) | −11.1351 | + | 2.14611i | −0.362993 | + | 0.0699611i | −0.367487 | − | 0.930029i | \(-0.619782\pi\) |
0.00449396 | + | 0.999990i | \(0.498570\pi\) | |||||||
\(942\) | −7.16262 | + | 0.325754i | −0.233371 | + | 0.0106137i | ||||
\(943\) | 13.2914 | − | 12.4878i | 0.432827 | − | 0.406657i | ||||
\(944\) | 9.76664 | 0.317877 | ||||||||
\(945\) | 30.7665 | + | 13.2242i | 1.00083 | + | 0.430185i | ||||
\(946\) | 38.1627 | + | 24.5257i | 1.24078 | + | 0.797398i | ||||
\(947\) | 3.14504 | + | 7.85593i | 0.102200 | + | 0.255283i | 0.970651 | − | 0.240491i | \(-0.0773085\pi\) |
−0.868451 | + | 0.495775i | \(0.834884\pi\) | |||||||
\(948\) | −8.32938 | + | 20.6767i | −0.270526 | + | 0.671549i | ||||
\(949\) | 35.6130 | + | 14.2573i | 1.15605 | + | 0.462811i | ||||
\(950\) | 1.23984 | + | 5.11069i | 0.0402257 | + | 0.165813i | ||||
\(951\) | 11.1197 | − | 24.2108i | 0.360582 | − | 0.785089i | ||||
\(952\) | 11.6679 | + | 3.66431i | 0.378158 | + | 0.118761i | ||||
\(953\) | −6.89901 | − | 23.4959i | −0.223481 | − | 0.761106i | −0.992539 | − | 0.121927i | \(-0.961093\pi\) |
0.769058 | − | 0.639179i | \(-0.220726\pi\) | |||||||
\(954\) | 6.75689 | − | 9.40283i | 0.218762 | − | 0.304428i | ||||
\(955\) | 42.1399 | − | 14.5847i | 1.36361 | − | 0.471951i | ||||
\(956\) | −11.2287 | − | 2.72406i | −0.363163 | − | 0.0881024i | ||||
\(957\) | 32.0905 | + | 1.59786i | 1.03734 | + | 0.0516516i | ||||
\(958\) | −3.38393 | − | 5.26549i | −0.109330 | − | 0.170120i | ||||
\(959\) | 45.5082 | − | 28.0581i | 1.46954 | − | 0.906044i | ||||
\(960\) | 3.19453 | − | 2.75606i | 0.103103 | − | 0.0889516i | ||||
\(961\) | −30.8530 | + | 2.94611i | −0.995259 | + | 0.0950357i | ||||
\(962\) | 34.3856 | + | 27.0411i | 1.10863 | + | 0.871840i | ||||
\(963\) | −16.5229 | + | 0.715840i | −0.532443 | + | 0.0230676i | ||||
\(964\) | −15.4059 | − | 5.33204i | −0.496191 | − | 0.171733i | ||||
\(965\) | 48.8240 | 1.57170 | ||||||||
\(966\) | −21.6567 | − | 3.74010i | −0.696792 | − | 0.120336i | ||||
\(967\) | 43.5066 | 1.39908 | 0.699538 | − | 0.714595i | \(-0.253389\pi\) | ||||
0.699538 | + | 0.714595i | \(0.253389\pi\) | |||||||
\(968\) | −7.75673 | − | 2.68463i | −0.249311 | − | 0.0862873i | ||||
\(969\) | −22.6325 | + | 39.0066i | −0.727060 | + | 1.25307i | ||||
\(970\) | −30.4630 | − | 23.9564i | −0.978109 | − | 0.769194i | ||||
\(971\) | −17.7568 | + | 1.69557i | −0.569842 | + | 0.0544133i | −0.376000 | − | 0.926620i | \(-0.622701\pi\) |
−0.193842 | + | 0.981033i | \(0.562095\pi\) | |||||||
\(972\) | 15.4050 | + | 2.38432i | 0.494117 | + | 0.0764770i | ||||
\(973\) | 18.3544 | + | 9.90101i | 0.588414 | + | 0.317412i | ||||
\(974\) | −5.89550 | − | 9.17357i | −0.188904 | − | 0.293940i | ||||
\(975\) | −0.509234 | + | 10.2271i | −0.0163085 | + | 0.327530i | ||||
\(976\) | 11.5455 | + | 2.80090i | 0.369561 | + | 0.0896546i | ||||
\(977\) | −0.504219 | + | 0.174512i | −0.0161314 | + | 0.00558313i | −0.335122 | − | 0.942175i | \(-0.608777\pi\) |
0.318990 | + | 0.947758i | \(0.396656\pi\) | |||||||
\(978\) | −0.648970 | + | 0.258190i | −0.0207518 | + | 0.00825599i | ||||
\(979\) | 0.215938 | + | 0.735416i | 0.00690140 | + | 0.0235040i | ||||
\(980\) | −0.173986 | − | 17.0505i | −0.00555779 | − | 0.544657i | ||||
\(981\) | −6.32324 | − | 45.3640i | −0.201886 | − | 1.44836i | ||||
\(982\) | −3.08233 | − | 12.7056i | −0.0983613 | − | 0.405451i | ||||
\(983\) | 49.8637 | + | 19.9624i | 1.59041 | + | 0.636703i | 0.986998 | − | 0.160730i | \(-0.0513848\pi\) |
0.603408 | + | 0.797433i | \(0.293809\pi\) | |||||||
\(984\) | 6.10951 | + | 2.46114i | 0.194764 | + | 0.0784583i | ||||
\(985\) | 8.69193 | + | 21.7114i | 0.276948 | + | 0.691783i | ||||
\(986\) | −16.4591 | − | 10.5776i | −0.524165 | − | 0.336860i | ||||
\(987\) | 2.43623 | + | 1.32097i | 0.0775461 | + | 0.0420468i | ||||
\(988\) | −35.6674 | −1.13473 | ||||||||
\(989\) | 28.4956 | + | 40.6466i | 0.906106 | + | 1.29249i | ||||
\(990\) | 18.4654 | + | 26.1686i | 0.586870 | + | 0.831694i | ||||
\(991\) | 8.95716 | − | 1.72635i | 0.284534 | − | 0.0548394i | −0.0449875 | − | 0.998988i | \(-0.514325\pi\) |
0.329521 | + | 0.944148i | \(0.393113\pi\) | |||||||
\(992\) | −0.00387859 | + | 0.0814217i | −0.000123145 | + | 0.00258514i | ||||
\(993\) | −1.32272 | + | 0.600630i | −0.0419752 | + | 0.0190604i | ||||
\(994\) | 1.91419 | − | 16.7335i | 0.0607144 | − | 0.530753i | ||||
\(995\) | 33.0667 | − | 4.75427i | 1.04828 | − | 0.150721i | ||||
\(996\) | −9.72252 | + | 10.1529i | −0.308070 | + | 0.321706i | ||||
\(997\) | 33.7273 | − | 1.60663i | 1.06815 | − | 0.0508824i | 0.493867 | − | 0.869537i | \(-0.335583\pi\) |
0.574286 | + | 0.818655i | \(0.305280\pi\) | |||||||
\(998\) | −3.10260 | + | 32.4919i | −0.0982111 | + | 1.02851i | ||||
\(999\) | −29.1055 | − | 21.0104i | −0.920858 | − | 0.664739i |
(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 | 966.2.bd.a.59.5 | ✓ | 1280 | |
3.2 | odd | 2 | inner | 966.2.bd.a.59.50 | yes | 1280 | |
7.5 | odd | 6 | inner | 966.2.bd.a.887.39 | yes | 1280 | |
21.5 | even | 6 | inner | 966.2.bd.a.887.8 | yes | 1280 | |
23.16 | even | 11 | inner | 966.2.bd.a.269.8 | yes | 1280 | |
69.62 | odd | 22 | inner | 966.2.bd.a.269.39 | yes | 1280 | |
161.131 | odd | 66 | inner | 966.2.bd.a.131.50 | yes | 1280 | |
483.131 | even | 66 | inner | 966.2.bd.a.131.5 | yes | 1280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.bd.a.59.5 | ✓ | 1280 | 1.1 | even | 1 | trivial | |
966.2.bd.a.59.50 | yes | 1280 | 3.2 | odd | 2 | inner | |
966.2.bd.a.131.5 | yes | 1280 | 483.131 | even | 66 | inner | |
966.2.bd.a.131.50 | yes | 1280 | 161.131 | odd | 66 | inner | |
966.2.bd.a.269.8 | yes | 1280 | 23.16 | even | 11 | inner | |
966.2.bd.a.269.39 | yes | 1280 | 69.62 | odd | 22 | inner | |
966.2.bd.a.887.8 | yes | 1280 | 21.5 | even | 6 | inner | |
966.2.bd.a.887.39 | yes | 1280 | 7.5 | odd | 6 | inner |