Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(145,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.145");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.cg (of order \(12\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 241.7 | ||
Character | \(\chi\) | \(=\) | 546.241 |
Dual form | 546.2.cg.a.145.7 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(1\) | \(e\left(\frac{11}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | + | 0.707107i | 0.500000 | + | 0.500000i | ||||
\(3\) | 0.866025 | − | 0.500000i | 0.500000 | − | 0.288675i | ||||
\(4\) | 1.00000i | 0.500000i | ||||||||
\(5\) | 1.56767 | + | 0.420055i | 0.701081 | + | 0.187854i | 0.591715 | − | 0.806147i | \(-0.298451\pi\) |
0.109366 | + | 0.994001i | \(0.465118\pi\) | |||||||
\(6\) | 0.965926 | + | 0.258819i | 0.394338 | + | 0.105662i | ||||
\(7\) | 2.44485 | + | 1.01129i | 0.924067 | + | 0.382230i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 0.500000 | − | 0.866025i | 0.166667 | − | 0.288675i | ||||
\(10\) | 0.811483 | + | 1.40553i | 0.256614 | + | 0.444468i | ||||
\(11\) | −0.797035 | − | 0.213565i | −0.240315 | − | 0.0643923i | 0.136651 | − | 0.990619i | \(-0.456366\pi\) |
−0.376966 | + | 0.926227i | \(0.623033\pi\) | |||||||
\(12\) | 0.500000 | + | 0.866025i | 0.144338 | + | 0.250000i | ||||
\(13\) | −3.50249 | + | 0.855906i | −0.971416 | + | 0.237386i | ||||
\(14\) | 1.01368 | + | 2.44386i | 0.270919 | + | 0.653149i | ||||
\(15\) | 1.56767 | − | 0.420055i | 0.404770 | − | 0.108458i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | 4.29436 | 1.04153 | 0.520767 | − | 0.853699i | \(-0.325646\pi\) | ||||
0.520767 | + | 0.853699i | \(0.325646\pi\) | |||||||
\(18\) | 0.965926 | − | 0.258819i | 0.227671 | − | 0.0610042i | ||||
\(19\) | −0.170930 | − | 0.637919i | −0.0392140 | − | 0.146349i | 0.943543 | − | 0.331250i | \(-0.107470\pi\) |
−0.982757 | + | 0.184901i | \(0.940804\pi\) | |||||||
\(20\) | −0.420055 | + | 1.56767i | −0.0939271 | + | 0.350541i | ||||
\(21\) | 2.62295 | − | 0.346627i | 0.572374 | − | 0.0756402i | ||||
\(22\) | −0.412576 | − | 0.714602i | −0.0879615 | − | 0.152354i | ||||
\(23\) | − | 0.381806i | − | 0.0796122i | −0.999207 | − | 0.0398061i | \(-0.987326\pi\) | ||
0.999207 | − | 0.0398061i | \(-0.0126740\pi\) | |||||||
\(24\) | −0.258819 | + | 0.965926i | −0.0528312 | + | 0.197169i | ||||
\(25\) | −2.04900 | − | 1.18299i | −0.409799 | − | 0.236598i | ||||
\(26\) | −3.08185 | − | 1.87142i | −0.604401 | − | 0.367015i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | −1.01129 | + | 2.44485i | −0.191115 | + | 0.462034i | ||||
\(29\) | −0.856275 | + | 1.48311i | −0.159006 | + | 0.275407i | −0.934511 | − | 0.355935i | \(-0.884162\pi\) |
0.775504 | + | 0.631342i | \(0.217496\pi\) | |||||||
\(30\) | 1.40553 | + | 0.811483i | 0.256614 | + | 0.148156i | ||||
\(31\) | −1.08690 | − | 4.05637i | −0.195213 | − | 0.728546i | −0.992212 | − | 0.124564i | \(-0.960247\pi\) |
0.796998 | − | 0.603982i | \(-0.206420\pi\) | |||||||
\(32\) | −0.707107 | − | 0.707107i | −0.125000 | − | 0.125000i | ||||
\(33\) | −0.797035 | + | 0.213565i | −0.138746 | + | 0.0371769i | ||||
\(34\) | 3.03657 | + | 3.03657i | 0.520767 | + | 0.520767i | ||||
\(35\) | 3.40792 | + | 2.61233i | 0.576043 | + | 0.441564i | ||||
\(36\) | 0.866025 | + | 0.500000i | 0.144338 | + | 0.0833333i | ||||
\(37\) | 0.265780 | − | 0.265780i | 0.0436940 | − | 0.0436940i | −0.684922 | − | 0.728616i | \(-0.740164\pi\) |
0.728616 | + | 0.684922i | \(0.240164\pi\) | |||||||
\(38\) | 0.330211 | − | 0.571943i | 0.0535673 | − | 0.0927814i | ||||
\(39\) | −2.60529 | + | 2.49248i | −0.417180 | + | 0.399116i | ||||
\(40\) | −1.40553 | + | 0.811483i | −0.222234 | + | 0.128307i | ||||
\(41\) | 0.129761 | + | 0.484273i | 0.0202652 | + | 0.0756307i | 0.975318 | − | 0.220805i | \(-0.0708685\pi\) |
−0.955053 | + | 0.296436i | \(0.904202\pi\) | |||||||
\(42\) | 2.09981 | + | 1.60960i | 0.324007 | + | 0.248367i | ||||
\(43\) | 4.60461 | − | 2.65847i | 0.702196 | − | 0.405413i | −0.105968 | − | 0.994369i | \(-0.533794\pi\) |
0.808165 | + | 0.588956i | \(0.200461\pi\) | |||||||
\(44\) | 0.213565 | − | 0.797035i | 0.0321961 | − | 0.120158i | ||||
\(45\) | 1.14761 | − | 1.14761i | 0.171076 | − | 0.171076i | ||||
\(46\) | 0.269978 | − | 0.269978i | 0.0398061 | − | 0.0398061i | ||||
\(47\) | −3.54101 | + | 13.2152i | −0.516510 | + | 1.92764i | −0.194522 | + | 0.980898i | \(0.562316\pi\) |
−0.321988 | + | 0.946744i | \(0.604351\pi\) | |||||||
\(48\) | −0.866025 | + | 0.500000i | −0.125000 | + | 0.0721688i | ||||
\(49\) | 4.95460 | + | 4.94489i | 0.707800 | + | 0.706412i | ||||
\(50\) | −0.612360 | − | 2.28536i | −0.0866008 | − | 0.323199i | ||||
\(51\) | 3.71902 | − | 2.14718i | 0.520767 | − | 0.300665i | ||||
\(52\) | −0.855906 | − | 3.50249i | −0.118693 | − | 0.485708i | ||||
\(53\) | 2.29049 | − | 3.96724i | 0.314623 | − | 0.544943i | −0.664734 | − | 0.747080i | \(-0.731455\pi\) |
0.979357 | + | 0.202137i | \(0.0647886\pi\) | |||||||
\(54\) | 0.707107 | − | 0.707107i | 0.0962250 | − | 0.0962250i | ||||
\(55\) | −1.15978 | − | 0.669597i | −0.156384 | − | 0.0902884i | ||||
\(56\) | −2.44386 | + | 1.01368i | −0.326574 | + | 0.135459i | ||||
\(57\) | −0.466989 | − | 0.466989i | −0.0618542 | − | 0.0618542i | ||||
\(58\) | −1.65420 | + | 0.443241i | −0.217207 | + | 0.0582004i | ||||
\(59\) | −1.09331 | − | 1.09331i | −0.142336 | − | 0.142336i | 0.632348 | − | 0.774684i | \(-0.282091\pi\) |
−0.774684 | + | 0.632348i | \(0.782091\pi\) | |||||||
\(60\) | 0.420055 | + | 1.56767i | 0.0542288 | + | 0.202385i | ||||
\(61\) | −10.6052 | − | 6.12294i | −1.35786 | − | 0.783962i | −0.368527 | − | 0.929617i | \(-0.620138\pi\) |
−0.989336 | + | 0.145654i | \(0.953471\pi\) | |||||||
\(62\) | 2.09973 | − | 3.63685i | 0.266666 | − | 0.461880i | ||||
\(63\) | 2.09823 | − | 1.61166i | 0.264352 | − | 0.203050i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −5.85026 | − | 0.129463i | −0.725635 | − | 0.0160579i | ||||
\(66\) | −0.714602 | − | 0.412576i | −0.0879615 | − | 0.0507846i | ||||
\(67\) | 1.94196 | − | 7.24748i | 0.237248 | − | 0.885420i | −0.739875 | − | 0.672744i | \(-0.765115\pi\) |
0.977123 | − | 0.212676i | \(-0.0682179\pi\) | |||||||
\(68\) | 4.29436i | 0.520767i | ||||||||
\(69\) | −0.190903 | − | 0.330654i | −0.0229821 | − | 0.0398061i | ||||
\(70\) | 0.562564 | + | 4.25696i | 0.0672393 | + | 0.508804i | ||||
\(71\) | 1.09592 | − | 4.09004i | 0.130062 | − | 0.485399i | −0.869907 | − | 0.493215i | \(-0.835821\pi\) |
0.999969 | + | 0.00781655i | \(0.00248811\pi\) | |||||||
\(72\) | 0.258819 | + | 0.965926i | 0.0305021 | + | 0.113835i | ||||
\(73\) | −11.0943 | + | 2.97272i | −1.29849 | + | 0.347930i | −0.840880 | − | 0.541222i | \(-0.817962\pi\) |
−0.457613 | + | 0.889152i | \(0.651295\pi\) | |||||||
\(74\) | 0.375870 | 0.0436940 | ||||||||
\(75\) | −2.36598 | −0.273200 | ||||||||
\(76\) | 0.637919 | − | 0.170930i | 0.0731743 | − | 0.0196070i | ||||
\(77\) | −1.73266 | − | 1.32817i | −0.197455 | − | 0.151358i | ||||
\(78\) | −3.60467 | − | 0.0797692i | −0.408148 | − | 0.00903208i | ||||
\(79\) | −3.74389 | − | 6.48461i | −0.421221 | − | 0.729576i | 0.574838 | − | 0.818267i | \(-0.305065\pi\) |
−0.996059 | + | 0.0886909i | \(0.971732\pi\) | |||||||
\(80\) | −1.56767 | − | 0.420055i | −0.175270 | − | 0.0469635i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −0.250678 | + | 0.434187i | −0.0276828 | + | 0.0479480i | ||||
\(83\) | 5.17265 | − | 5.17265i | 0.567773 | − | 0.567773i | −0.363731 | − | 0.931504i | \(-0.618497\pi\) |
0.931504 | + | 0.363731i | \(0.118497\pi\) | |||||||
\(84\) | 0.346627 | + | 2.62295i | 0.0378201 | + | 0.286187i | ||||
\(85\) | 6.73212 | + | 1.80387i | 0.730201 | + | 0.195657i | ||||
\(86\) | 5.13578 | + | 1.37613i | 0.553805 | + | 0.148392i | ||||
\(87\) | 1.71255i | 0.183605i | ||||||||
\(88\) | 0.714602 | − | 0.412576i | 0.0761769 | − | 0.0439807i | ||||
\(89\) | 7.47571 | + | 7.47571i | 0.792424 | + | 0.792424i | 0.981888 | − | 0.189464i | \(-0.0606749\pi\) |
−0.189464 | + | 0.981888i | \(0.560675\pi\) | |||||||
\(90\) | 1.62297 | 0.171076 | ||||||||
\(91\) | −9.42863 | − | 1.44945i | −0.988389 | − | 0.151944i | ||||
\(92\) | 0.381806 | 0.0398061 | ||||||||
\(93\) | −2.96947 | − | 2.96947i | −0.307920 | − | 0.307920i | ||||
\(94\) | −11.8485 | + | 6.84072i | −1.22208 | + | 0.705566i | ||||
\(95\) | − | 1.07184i | − | 0.109969i | ||||||
\(96\) | −0.965926 | − | 0.258819i | −0.0985844 | − | 0.0264156i | ||||
\(97\) | −15.6542 | − | 4.19452i | −1.58944 | − | 0.425889i | −0.647608 | − | 0.761974i | \(-0.724230\pi\) |
−0.941832 | + | 0.336085i | \(0.890897\pi\) | |||||||
\(98\) | 0.00687020 | + | 7.00000i | 0.000693995 | + | 0.707106i | ||||
\(99\) | −0.583470 | + | 0.583470i | −0.0586410 | + | 0.0586410i | ||||
\(100\) | 1.18299 | − | 2.04900i | 0.118299 | − | 0.204900i | ||||
\(101\) | −5.77766 | − | 10.0072i | −0.574898 | − | 0.995753i | −0.996053 | − | 0.0887643i | \(-0.971708\pi\) |
0.421154 | − | 0.906989i | \(-0.361625\pi\) | |||||||
\(102\) | 4.14803 | + | 1.11146i | 0.410716 | + | 0.110051i | ||||
\(103\) | −4.29555 | − | 7.44012i | −0.423253 | − | 0.733096i | 0.573002 | − | 0.819554i | \(-0.305779\pi\) |
−0.996256 | + | 0.0864574i | \(0.972445\pi\) | |||||||
\(104\) | 1.87142 | − | 3.08185i | 0.183507 | − | 0.302200i | ||||
\(105\) | 4.25751 | + | 0.558386i | 0.415490 | + | 0.0544929i | ||||
\(106\) | 4.42489 | − | 1.18564i | 0.429783 | − | 0.115160i | ||||
\(107\) | 9.38823 | 0.907594 | 0.453797 | − | 0.891105i | \(-0.350069\pi\) | ||||
0.453797 | + | 0.891105i | \(0.350069\pi\) | |||||||
\(108\) | 1.00000 | 0.0962250 | ||||||||
\(109\) | −5.89242 | + | 1.57887i | −0.564392 | + | 0.151228i | −0.529723 | − | 0.848171i | \(-0.677704\pi\) |
−0.0346684 | + | 0.999399i | \(0.511038\pi\) | |||||||
\(110\) | −0.346609 | − | 1.29356i | −0.0330479 | − | 0.123336i | ||||
\(111\) | 0.0972824 | − | 0.363063i | 0.00923364 | − | 0.0344604i | ||||
\(112\) | −2.44485 | − | 1.01129i | −0.231017 | − | 0.0955575i | ||||
\(113\) | 6.40625 | + | 11.0959i | 0.602649 | + | 1.04382i | 0.992418 | + | 0.122906i | \(0.0392214\pi\) |
−0.389769 | + | 0.920912i | \(0.627445\pi\) | |||||||
\(114\) | − | 0.660423i | − | 0.0618542i | ||||||
\(115\) | 0.160380 | − | 0.598545i | 0.0149555 | − | 0.0558146i | ||||
\(116\) | −1.48311 | − | 0.856275i | −0.137704 | − | 0.0795032i | ||||
\(117\) | −1.01001 | + | 3.46120i | −0.0933753 | + | 0.319988i | ||||
\(118\) | − | 1.54617i | − | 0.142336i | ||||||
\(119\) | 10.4991 | + | 4.34282i | 0.962448 | + | 0.398106i | ||||
\(120\) | −0.811483 | + | 1.40553i | −0.0740780 | + | 0.128307i | ||||
\(121\) | −8.93662 | − | 5.15956i | −0.812420 | − | 0.469051i | ||||
\(122\) | −3.16947 | − | 11.8286i | −0.286950 | − | 1.07091i | ||||
\(123\) | 0.354512 | + | 0.354512i | 0.0319653 | + | 0.0319653i | ||||
\(124\) | 4.05637 | − | 1.08690i | 0.364273 | − | 0.0976067i | ||||
\(125\) | −8.45328 | − | 8.45328i | −0.756084 | − | 0.756084i | ||||
\(126\) | 2.62329 | + | 0.344053i | 0.233701 | + | 0.0306506i | ||||
\(127\) | 3.94473 | + | 2.27749i | 0.350038 | + | 0.202095i | 0.664702 | − | 0.747108i | \(-0.268558\pi\) |
−0.314664 | + | 0.949203i | \(0.601892\pi\) | |||||||
\(128\) | 0.707107 | − | 0.707107i | 0.0625000 | − | 0.0625000i | ||||
\(129\) | 2.65847 | − | 4.60461i | 0.234065 | − | 0.405413i | ||||
\(130\) | −4.04521 | − | 4.22830i | −0.354789 | − | 0.370847i | ||||
\(131\) | −7.81287 | + | 4.51076i | −0.682614 | + | 0.394107i | −0.800839 | − | 0.598880i | \(-0.795613\pi\) |
0.118225 | + | 0.992987i | \(0.462279\pi\) | |||||||
\(132\) | −0.213565 | − | 0.797035i | −0.0185884 | − | 0.0693730i | ||||
\(133\) | 0.227220 | − | 1.73248i | 0.0197025 | − | 0.150225i | ||||
\(134\) | 6.49791 | − | 3.75157i | 0.561334 | − | 0.324086i | ||||
\(135\) | 0.420055 | − | 1.56767i | 0.0361526 | − | 0.134923i | ||||
\(136\) | −3.03657 | + | 3.03657i | −0.260384 | + | 0.260384i | ||||
\(137\) | −1.15844 | + | 1.15844i | −0.0989721 | + | 0.0989721i | −0.754859 | − | 0.655887i | \(-0.772295\pi\) |
0.655887 | + | 0.754859i | \(0.272295\pi\) | |||||||
\(138\) | 0.0988188 | − | 0.368797i | 0.00841201 | − | 0.0313941i | ||||
\(139\) | 8.27928 | − | 4.78004i | 0.702239 | − | 0.405438i | −0.105942 | − | 0.994372i | \(-0.533786\pi\) |
0.808181 | + | 0.588934i | \(0.200452\pi\) | |||||||
\(140\) | −2.61233 | + | 3.40792i | −0.220782 | + | 0.288021i | ||||
\(141\) | 3.54101 | + | 13.2152i | 0.298207 | + | 1.11292i | ||||
\(142\) | 3.66703 | − | 2.11716i | 0.307731 | − | 0.177668i | ||||
\(143\) | 2.97440 | + | 0.0658217i | 0.248732 | + | 0.00550429i | ||||
\(144\) | −0.500000 | + | 0.866025i | −0.0416667 | + | 0.0721688i | ||||
\(145\) | −1.96534 | + | 1.96534i | −0.163213 | + | 0.163213i | ||||
\(146\) | −9.94690 | − | 5.74285i | −0.823211 | − | 0.475281i | ||||
\(147\) | 6.76326 | + | 1.80510i | 0.557824 | + | 0.148882i | ||||
\(148\) | 0.265780 | + | 0.265780i | 0.0218470 | + | 0.0218470i | ||||
\(149\) | −3.68633 | + | 0.987748i | −0.301996 | + | 0.0809195i | −0.406635 | − | 0.913591i | \(-0.633298\pi\) |
0.104639 | + | 0.994510i | \(0.466631\pi\) | |||||||
\(150\) | −1.67300 | − | 1.67300i | −0.136600 | − | 0.136600i | ||||
\(151\) | 4.55448 | + | 16.9975i | 0.370638 | + | 1.38324i | 0.859615 | + | 0.510943i | \(0.170704\pi\) |
−0.488977 | + | 0.872297i | \(0.662630\pi\) | |||||||
\(152\) | 0.571943 | + | 0.330211i | 0.0463907 | + | 0.0267837i | ||||
\(153\) | 2.14718 | − | 3.71902i | 0.173589 | − | 0.300665i | ||||
\(154\) | −0.286020 | − | 2.16433i | −0.0230481 | − | 0.174407i | ||||
\(155\) | − | 6.81560i | − | 0.547442i | ||||||
\(156\) | −2.49248 | − | 2.60529i | −0.199558 | − | 0.208590i | ||||
\(157\) | −13.6198 | − | 7.86337i | −1.08698 | − | 0.627566i | −0.154206 | − | 0.988039i | \(-0.549282\pi\) |
−0.932770 | + | 0.360473i | \(0.882615\pi\) | |||||||
\(158\) | 1.93798 | − | 7.23265i | 0.154178 | − | 0.575399i | ||||
\(159\) | − | 4.58098i | − | 0.363295i | ||||||
\(160\) | −0.811483 | − | 1.40553i | −0.0641534 | − | 0.111117i | ||||
\(161\) | 0.386115 | − | 0.933460i | 0.0304302 | − | 0.0735670i | ||||
\(162\) | 0.258819 | − | 0.965926i | 0.0203347 | − | 0.0758903i | ||||
\(163\) | 0.961529 | + | 3.58847i | 0.0753128 | + | 0.281071i | 0.993304 | − | 0.115530i | \(-0.0368565\pi\) |
−0.917991 | + | 0.396601i | \(0.870190\pi\) | |||||||
\(164\) | −0.484273 | + | 0.129761i | −0.0378154 | + | 0.0101326i | ||||
\(165\) | −1.33919 | −0.104256 | ||||||||
\(166\) | 7.31524 | 0.567773 | ||||||||
\(167\) | 13.0153 | − | 3.48744i | 1.00715 | − | 0.269866i | 0.282714 | − | 0.959204i | \(-0.408765\pi\) |
0.724440 | + | 0.689338i | \(0.242099\pi\) | |||||||
\(168\) | −1.60960 | + | 2.09981i | −0.124183 | + | 0.162004i | ||||
\(169\) | 11.5349 | − | 5.99560i | 0.887296 | − | 0.461200i | ||||
\(170\) | 3.48480 | + | 6.03585i | 0.267272 | + | 0.462929i | ||||
\(171\) | −0.637919 | − | 0.170930i | −0.0487829 | − | 0.0130713i | ||||
\(172\) | 2.65847 | + | 4.60461i | 0.202707 | + | 0.351098i | ||||
\(173\) | −11.5406 | + | 19.9890i | −0.877418 | + | 1.51973i | −0.0232539 | + | 0.999730i | \(0.507403\pi\) |
−0.854164 | + | 0.520003i | \(0.825931\pi\) | |||||||
\(174\) | −1.21096 | + | 1.21096i | −0.0918023 | + | 0.0918023i | ||||
\(175\) | −3.81316 | − | 4.96435i | −0.288247 | − | 0.375270i | ||||
\(176\) | 0.797035 | + | 0.213565i | 0.0600788 | + | 0.0160981i | ||||
\(177\) | −1.49348 | − | 0.400178i | −0.112257 | − | 0.0300792i | ||||
\(178\) | 10.5723i | 0.792424i | ||||||||
\(179\) | 6.07426 | − | 3.50698i | 0.454012 | − | 0.262124i | −0.255511 | − | 0.966806i | \(-0.582244\pi\) |
0.709523 | + | 0.704682i | \(0.248910\pi\) | |||||||
\(180\) | 1.14761 | + | 1.14761i | 0.0855379 | + | 0.0855379i | ||||
\(181\) | 5.03562 | 0.374295 | 0.187147 | − | 0.982332i | \(-0.440076\pi\) | ||||
0.187147 | + | 0.982332i | \(0.440076\pi\) | |||||||
\(182\) | −5.64213 | − | 7.69197i | −0.418223 | − | 0.570167i | ||||
\(183\) | −12.2459 | −0.905242 | ||||||||
\(184\) | 0.269978 | + | 0.269978i | 0.0199030 | + | 0.0199030i | ||||
\(185\) | 0.528297 | − | 0.305013i | 0.0388412 | − | 0.0224250i | ||||
\(186\) | − | 4.19947i | − | 0.307920i | ||||||
\(187\) | −3.42276 | − | 0.917125i | −0.250297 | − | 0.0670668i | ||||
\(188\) | −13.2152 | − | 3.54101i | −0.963821 | − | 0.258255i | ||||
\(189\) | 1.01129 | − | 2.44485i | 0.0735602 | − | 0.177837i | ||||
\(190\) | 0.757908 | − | 0.757908i | 0.0549844 | − | 0.0549844i | ||||
\(191\) | 2.05415 | − | 3.55789i | 0.148633 | − | 0.257440i | −0.782090 | − | 0.623166i | \(-0.785846\pi\) |
0.930722 | + | 0.365726i | \(0.119179\pi\) | |||||||
\(192\) | −0.500000 | − | 0.866025i | −0.0360844 | − | 0.0625000i | ||||
\(193\) | 20.4591 | + | 5.48199i | 1.47268 | + | 0.394602i | 0.903848 | − | 0.427854i | \(-0.140730\pi\) |
0.568828 | + | 0.822456i | \(0.307397\pi\) | |||||||
\(194\) | −8.10319 | − | 14.0351i | −0.581775 | − | 1.00766i | ||||
\(195\) | −5.13120 | + | 2.81301i | −0.367453 | + | 0.201444i | ||||
\(196\) | −4.94489 | + | 4.95460i | −0.353206 | + | 0.353900i | ||||
\(197\) | 14.8764 | − | 3.98613i | 1.05990 | − | 0.284000i | 0.313565 | − | 0.949567i | \(-0.398477\pi\) |
0.746338 | + | 0.665567i | \(0.231810\pi\) | |||||||
\(198\) | −0.825152 | −0.0586410 | ||||||||
\(199\) | −11.2862 | −0.800056 | −0.400028 | − | 0.916503i | \(-0.631000\pi\) | ||||
−0.400028 | + | 0.916503i | \(0.631000\pi\) | |||||||
\(200\) | 2.28536 | − | 0.612360i | 0.161599 | − | 0.0433004i | ||||
\(201\) | −1.94196 | − | 7.24748i | −0.136975 | − | 0.511198i | ||||
\(202\) | 2.99074 | − | 11.1616i | 0.210427 | − | 0.785326i | ||||
\(203\) | −3.59332 | + | 2.76005i | −0.252201 | + | 0.193718i | ||||
\(204\) | 2.14718 | + | 3.71902i | 0.150333 | + | 0.260384i | ||||
\(205\) | 0.813685i | 0.0568302i | ||||||||
\(206\) | 2.22354 | − | 8.29837i | 0.154922 | − | 0.578175i | ||||
\(207\) | −0.330654 | − | 0.190903i | −0.0229821 | − | 0.0132687i | ||||
\(208\) | 3.50249 | − | 0.855906i | 0.242854 | − | 0.0593464i | ||||
\(209\) | 0.544949i | 0.0376949i | ||||||||
\(210\) | 2.61567 | + | 3.40535i | 0.180499 | + | 0.234991i | ||||
\(211\) | 6.20836 | − | 10.7532i | 0.427401 | − | 0.740280i | −0.569240 | − | 0.822171i | \(-0.692763\pi\) |
0.996641 | + | 0.0818911i | \(0.0260960\pi\) | |||||||
\(212\) | 3.96724 | + | 2.29049i | 0.272471 | + | 0.157311i | ||||
\(213\) | −1.09592 | − | 4.09004i | −0.0750915 | − | 0.280245i | ||||
\(214\) | 6.63848 | + | 6.63848i | 0.453797 | + | 0.453797i | ||||
\(215\) | 8.33519 | − | 2.23341i | 0.568456 | − | 0.152317i | ||||
\(216\) | 0.707107 | + | 0.707107i | 0.0481125 | + | 0.0481125i | ||||
\(217\) | 1.44484 | − | 11.0164i | 0.0980820 | − | 0.747842i | ||||
\(218\) | −5.28300 | − | 3.05014i | −0.357810 | − | 0.206582i | ||||
\(219\) | −8.12161 | + | 8.12161i | −0.548807 | + | 0.548807i | ||||
\(220\) | 0.669597 | − | 1.15978i | 0.0451442 | − | 0.0781921i | ||||
\(221\) | −15.0409 | + | 3.67557i | −1.01176 | + | 0.247245i | ||||
\(222\) | 0.325513 | − | 0.187935i | 0.0218470 | − | 0.0126134i | ||||
\(223\) | 3.07026 | + | 11.4584i | 0.205600 | + | 0.767308i | 0.989266 | + | 0.146126i | \(0.0466805\pi\) |
−0.783666 | + | 0.621182i | \(0.786653\pi\) | |||||||
\(224\) | −1.01368 | − | 2.44386i | −0.0677297 | − | 0.163287i | ||||
\(225\) | −2.04900 | + | 1.18299i | −0.136600 | + | 0.0788659i | ||||
\(226\) | −3.31612 | + | 12.3759i | −0.220585 | + | 0.823234i | ||||
\(227\) | 10.3723 | − | 10.3723i | 0.688437 | − | 0.688437i | −0.273450 | − | 0.961886i | \(-0.588165\pi\) |
0.961886 | + | 0.273450i | \(0.0881647\pi\) | |||||||
\(228\) | 0.466989 | − | 0.466989i | 0.0309271 | − | 0.0309271i | ||||
\(229\) | −4.17662 | + | 15.5874i | −0.275999 | + | 1.03004i | 0.679170 | + | 0.733981i | \(0.262340\pi\) |
−0.955169 | + | 0.296061i | \(0.904327\pi\) | |||||||
\(230\) | 0.536641 | − | 0.309830i | 0.0353850 | − | 0.0204296i | ||||
\(231\) | −2.16461 | − | 0.283896i | −0.142421 | − | 0.0186790i | ||||
\(232\) | −0.443241 | − | 1.65420i | −0.0291002 | − | 0.108603i | ||||
\(233\) | −11.1322 | + | 6.42720i | −0.729297 | + | 0.421060i | −0.818165 | − | 0.574984i | \(-0.805008\pi\) |
0.0888681 | + | 0.996043i | \(0.471675\pi\) | |||||||
\(234\) | −3.16162 | + | 1.73325i | −0.206682 | + | 0.113306i | ||||
\(235\) | −11.1023 | + | 19.2297i | −0.724231 | + | 1.25441i | ||||
\(236\) | 1.09331 | − | 1.09331i | 0.0711682 | − | 0.0711682i | ||||
\(237\) | −6.48461 | − | 3.74389i | −0.421221 | − | 0.243192i | ||||
\(238\) | 4.35313 | + | 10.4948i | 0.282171 | + | 0.680277i | ||||
\(239\) | 13.5059 | + | 13.5059i | 0.873627 | + | 0.873627i | 0.992866 | − | 0.119239i | \(-0.0380454\pi\) |
−0.119239 | + | 0.992866i | \(0.538045\pi\) | |||||||
\(240\) | −1.56767 | + | 0.420055i | −0.101192 | + | 0.0271144i | ||||
\(241\) | 6.92996 | + | 6.92996i | 0.446398 | + | 0.446398i | 0.894155 | − | 0.447757i | \(-0.147777\pi\) |
−0.447757 | + | 0.894155i | \(0.647777\pi\) | |||||||
\(242\) | −2.67079 | − | 9.96751i | −0.171685 | − | 0.640736i | ||||
\(243\) | −0.866025 | − | 0.500000i | −0.0555556 | − | 0.0320750i | ||||
\(244\) | 6.12294 | − | 10.6052i | 0.391981 | − | 0.678931i | ||||
\(245\) | 5.69004 | + | 9.83313i | 0.363523 | + | 0.628216i | ||||
\(246\) | 0.501356i | 0.0319653i | ||||||||
\(247\) | 1.14468 | + | 2.08800i | 0.0728342 | + | 0.132857i | ||||
\(248\) | 3.63685 | + | 2.09973i | 0.230940 | + | 0.133333i | ||||
\(249\) | 1.89332 | − | 7.06598i | 0.119984 | − | 0.447788i | ||||
\(250\) | − | 11.9547i | − | 0.756084i | ||||||
\(251\) | 9.22525 | + | 15.9786i | 0.582293 | + | 1.00856i | 0.995207 | + | 0.0977909i | \(0.0311777\pi\) |
−0.412914 | + | 0.910770i | \(0.635489\pi\) | |||||||
\(252\) | 1.61166 | + | 2.09823i | 0.101525 | + | 0.132176i | ||||
\(253\) | −0.0815405 | + | 0.304313i | −0.00512641 | + | 0.0191320i | ||||
\(254\) | 1.17892 | + | 4.39978i | 0.0739718 | + | 0.276067i | ||||
\(255\) | 6.73212 | − | 1.80387i | 0.421582 | − | 0.112962i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −22.3159 | −1.39203 | −0.696013 | − | 0.718029i | \(-0.745044\pi\) | ||||
−0.696013 | + | 0.718029i | \(0.745044\pi\) | |||||||
\(258\) | 5.13578 | − | 1.37613i | 0.319739 | − | 0.0856739i | ||||
\(259\) | 0.918574 | − | 0.381014i | 0.0570774 | − | 0.0236751i | ||||
\(260\) | 0.129463 | − | 5.85026i | 0.00802894 | − | 0.362818i | ||||
\(261\) | 0.856275 | + | 1.48311i | 0.0530021 | + | 0.0918023i | ||||
\(262\) | −8.71412 | − | 2.33494i | −0.538360 | − | 0.144253i | ||||
\(263\) | 8.20565 | + | 14.2126i | 0.505982 | + | 0.876386i | 0.999976 | + | 0.00692122i | \(0.00220311\pi\) |
−0.493994 | + | 0.869465i | \(0.664464\pi\) | |||||||
\(264\) | 0.412576 | − | 0.714602i | 0.0253923 | − | 0.0439807i | ||||
\(265\) | 5.25718 | − | 5.25718i | 0.322946 | − | 0.322946i | ||||
\(266\) | 1.38572 | − | 1.06438i | 0.0849636 | − | 0.0652612i | ||||
\(267\) | 10.2120 | + | 2.73630i | 0.624965 | + | 0.167459i | ||||
\(268\) | 7.24748 | + | 1.94196i | 0.442710 | + | 0.118624i | ||||
\(269\) | 16.8220i | 1.02565i | 0.858492 | + | 0.512827i | \(0.171402\pi\) | ||||
−0.858492 | + | 0.512827i | \(0.828598\pi\) | |||||||
\(270\) | 1.40553 | − | 0.811483i | 0.0855379 | − | 0.0493853i | ||||
\(271\) | 3.01068 | + | 3.01068i | 0.182886 | + | 0.182886i | 0.792612 | − | 0.609726i | \(-0.208721\pi\) |
−0.609726 | + | 0.792612i | \(0.708721\pi\) | |||||||
\(272\) | −4.29436 | −0.260384 | ||||||||
\(273\) | −8.89016 | + | 3.45905i | −0.538057 | + | 0.209351i | ||||
\(274\) | −1.63828 | −0.0989721 | ||||||||
\(275\) | 1.38048 | + | 1.38048i | 0.0832460 | + | 0.0832460i | ||||
\(276\) | 0.330654 | − | 0.190903i | 0.0199030 | − | 0.0114910i | ||||
\(277\) | 22.5571i | 1.35533i | 0.735372 | + | 0.677663i | \(0.237007\pi\) | ||||
−0.735372 | + | 0.677663i | \(0.762993\pi\) | |||||||
\(278\) | 9.23434 | + | 2.47433i | 0.553839 | + | 0.148401i | ||||
\(279\) | −4.05637 | − | 1.08690i | −0.242849 | − | 0.0650711i | ||||
\(280\) | −4.25696 | + | 0.562564i | −0.254402 | + | 0.0336196i | ||||
\(281\) | 7.38947 | − | 7.38947i | 0.440819 | − | 0.440819i | −0.451468 | − | 0.892287i | \(-0.649100\pi\) |
0.892287 | + | 0.451468i | \(0.149100\pi\) | |||||||
\(282\) | −6.84072 | + | 11.8485i | −0.407359 | + | 0.705566i | ||||
\(283\) | 8.75973 | + | 15.1723i | 0.520712 | + | 0.901899i | 0.999710 | + | 0.0240834i | \(0.00766672\pi\) |
−0.478998 | + | 0.877816i | \(0.659000\pi\) | |||||||
\(284\) | 4.09004 | + | 1.09592i | 0.242699 | + | 0.0650311i | ||||
\(285\) | −0.535922 | − | 0.928244i | −0.0317453 | − | 0.0549844i | ||||
\(286\) | 2.05667 | + | 2.14976i | 0.121614 | + | 0.127118i | ||||
\(287\) | −0.172493 | + | 1.31520i | −0.0101819 | + | 0.0776338i | ||||
\(288\) | −0.965926 | + | 0.258819i | −0.0569177 | + | 0.0152511i | ||||
\(289\) | 1.44152 | 0.0847951 | ||||||||
\(290\) | −2.77941 | −0.163213 | ||||||||
\(291\) | −15.6542 | + | 4.19452i | −0.917663 | + | 0.245887i | ||||
\(292\) | −2.97272 | − | 11.0943i | −0.173965 | − | 0.649246i | ||||
\(293\) | 1.28663 | − | 4.80175i | 0.0751655 | − | 0.280522i | −0.918105 | − | 0.396337i | \(-0.870281\pi\) |
0.993271 | + | 0.115815i | \(0.0369480\pi\) | |||||||
\(294\) | 3.50595 | + | 6.05874i | 0.204471 | + | 0.353353i | ||||
\(295\) | −1.25469 | − | 2.17319i | −0.0730509 | − | 0.126528i | ||||
\(296\) | 0.375870i | 0.0218470i | ||||||||
\(297\) | −0.213565 | + | 0.797035i | −0.0123923 | + | 0.0462487i | ||||
\(298\) | −3.30507 | − | 1.90818i | −0.191458 | − | 0.110538i | ||||
\(299\) | 0.326790 | + | 1.33727i | 0.0188988 | + | 0.0773365i | ||||
\(300\) | − | 2.36598i | − | 0.136600i | ||||||
\(301\) | 13.9461 | − | 1.84300i | 0.803838 | − | 0.106229i | ||||
\(302\) | −8.79857 | + | 15.2396i | −0.506301 | + | 0.876939i | ||||
\(303\) | −10.0072 | − | 5.77766i | −0.574898 | − | 0.331918i | ||||
\(304\) | 0.170930 | + | 0.637919i | 0.00980350 | + | 0.0365872i | ||||
\(305\) | −14.0535 | − | 14.0535i | −0.804702 | − | 0.804702i | ||||
\(306\) | 4.14803 | − | 1.11146i | 0.237127 | − | 0.0635380i | ||||
\(307\) | 17.8871 | + | 17.8871i | 1.02087 | + | 1.02087i | 0.999778 | + | 0.0210932i | \(0.00671468\pi\) |
0.0210932 | + | 0.999778i | \(0.493285\pi\) | |||||||
\(308\) | 1.32817 | − | 1.73266i | 0.0756792 | − | 0.0987274i | ||||
\(309\) | −7.44012 | − | 4.29555i | −0.423253 | − | 0.244365i | ||||
\(310\) | 4.81935 | − | 4.81935i | 0.273721 | − | 0.273721i | ||||
\(311\) | −2.73172 | + | 4.73148i | −0.154902 | + | 0.268298i | −0.933023 | − | 0.359816i | \(-0.882839\pi\) |
0.778122 | + | 0.628114i | \(0.216173\pi\) | |||||||
\(312\) | 0.0797692 | − | 3.60467i | 0.00451604 | − | 0.204074i | ||||
\(313\) | −20.8623 | + | 12.0448i | −1.17921 | + | 0.680815i | −0.955831 | − | 0.293917i | \(-0.905041\pi\) |
−0.223375 | + | 0.974732i | \(0.571708\pi\) | |||||||
\(314\) | −4.07038 | − | 15.1909i | −0.229705 | − | 0.857270i | ||||
\(315\) | 3.96630 | − | 1.64518i | 0.223476 | − | 0.0926952i | ||||
\(316\) | 6.48461 | − | 3.74389i | 0.364788 | − | 0.210610i | ||||
\(317\) | 0.902659 | − | 3.36877i | 0.0506984 | − | 0.189209i | −0.935933 | − | 0.352179i | \(-0.885441\pi\) |
0.986631 | + | 0.162970i | \(0.0521075\pi\) | |||||||
\(318\) | 3.23924 | − | 3.23924i | 0.181648 | − | 0.181648i | ||||
\(319\) | 0.999223 | − | 0.999223i | 0.0559457 | − | 0.0559457i | ||||
\(320\) | 0.420055 | − | 1.56767i | 0.0234818 | − | 0.0876352i | ||||
\(321\) | 8.13045 | − | 4.69411i | 0.453797 | − | 0.262000i | ||||
\(322\) | 0.933081 | − | 0.387031i | 0.0519986 | − | 0.0215684i | ||||
\(323\) | −0.734034 | − | 2.73945i | −0.0408428 | − | 0.152427i | ||||
\(324\) | 0.866025 | − | 0.500000i | 0.0481125 | − | 0.0277778i | ||||
\(325\) | 8.18912 | + | 2.38966i | 0.454250 | + | 0.132554i | ||||
\(326\) | −1.85753 | + | 3.21734i | −0.102879 | + | 0.178192i | ||||
\(327\) | −4.31355 | + | 4.31355i | −0.238540 | + | 0.238540i | ||||
\(328\) | −0.434187 | − | 0.250678i | −0.0239740 | − | 0.0138414i | ||||
\(329\) | −22.0216 | + | 28.7283i | −1.21409 | + | 1.58384i | ||||
\(330\) | −0.946953 | − | 0.946953i | −0.0521281 | − | 0.0521281i | ||||
\(331\) | 4.77070 | − | 1.27830i | 0.262221 | − | 0.0702620i | −0.125313 | − | 0.992117i | \(-0.539994\pi\) |
0.387534 | + | 0.921855i | \(0.373327\pi\) | |||||||
\(332\) | 5.17265 | + | 5.17265i | 0.283886 | + | 0.283886i | ||||
\(333\) | −0.0972824 | − | 0.363063i | −0.00533104 | − | 0.0198957i | ||||
\(334\) | 11.6692 | + | 6.73721i | 0.638510 | + | 0.368644i | ||||
\(335\) | 6.08867 | − | 10.5459i | 0.332660 | − | 0.576184i | ||||
\(336\) | −2.62295 | + | 0.346627i | −0.143093 | + | 0.0189101i | ||||
\(337\) | − | 27.7323i | − | 1.51067i | −0.655336 | − | 0.755337i | \(-0.727473\pi\) | ||
0.655336 | − | 0.755337i | \(-0.272527\pi\) | |||||||
\(338\) | 12.3959 | + | 3.91684i | 0.674248 | + | 0.213048i | ||||
\(339\) | 11.0959 | + | 6.40625i | 0.602649 | + | 0.347940i | ||||
\(340\) | −1.80387 | + | 6.73212i | −0.0978284 | + | 0.365100i | ||||
\(341\) | 3.46520i | 0.187651i | ||||||||
\(342\) | −0.330211 | − | 0.571943i | −0.0178558 | − | 0.0309271i | ||||
\(343\) | 7.11258 | + | 17.1000i | 0.384043 | + | 0.923315i | ||||
\(344\) | −1.37613 | + | 5.13578i | −0.0741958 | + | 0.276902i | ||||
\(345\) | −0.160380 | − | 0.598545i | −0.00863455 | − | 0.0322246i | ||||
\(346\) | −22.2948 | + | 5.97387i | −1.19858 | + | 0.321157i | ||||
\(347\) | −3.19116 | −0.171311 | −0.0856553 | − | 0.996325i | \(-0.527298\pi\) | ||||
−0.0856553 | + | 0.996325i | \(0.527298\pi\) | |||||||
\(348\) | −1.71255 | −0.0918023 | ||||||||
\(349\) | 2.67590 | − | 0.717004i | 0.143237 | − | 0.0383803i | −0.186488 | − | 0.982457i | \(-0.559711\pi\) |
0.329725 | + | 0.944077i | \(0.393044\pi\) | |||||||
\(350\) | 0.814021 | − | 6.20664i | 0.0435112 | − | 0.331759i | ||||
\(351\) | 0.855906 | + | 3.50249i | 0.0456849 | + | 0.186949i | ||||
\(352\) | 0.412576 | + | 0.714602i | 0.0219904 | + | 0.0380884i | ||||
\(353\) | 23.1542 | + | 6.20415i | 1.23237 | + | 0.330214i | 0.815504 | − | 0.578752i | \(-0.196460\pi\) |
0.416871 | + | 0.908966i | \(0.363127\pi\) | |||||||
\(354\) | −0.773085 | − | 1.33902i | −0.0410890 | − | 0.0711682i | ||||
\(355\) | 3.43608 | − | 5.95147i | 0.182368 | − | 0.315871i | ||||
\(356\) | −7.47571 | + | 7.47571i | −0.396212 | + | 0.396212i | ||||
\(357\) | 11.2639 | − | 1.48854i | 0.596147 | − | 0.0787819i | ||||
\(358\) | 6.77496 | + | 1.81534i | 0.358068 | + | 0.0959439i | ||||
\(359\) | 9.20478 | + | 2.46641i | 0.485810 | + | 0.130172i | 0.493407 | − | 0.869799i | \(-0.335751\pi\) |
−0.00759675 | + | 0.999971i | \(0.502418\pi\) | |||||||
\(360\) | 1.62297i | 0.0855379i | ||||||||
\(361\) | 16.0768 | − | 9.28192i | 0.846145 | − | 0.488522i | ||||
\(362\) | 3.56072 | + | 3.56072i | 0.187147 | + | 0.187147i | ||||
\(363\) | −10.3191 | −0.541614 | ||||||||
\(364\) | 1.44945 | − | 9.42863i | 0.0759720 | − | 0.494195i | ||||
\(365\) | −18.6409 | −0.975709 | ||||||||
\(366\) | −8.65915 | − | 8.65915i | −0.452621 | − | 0.452621i | ||||
\(367\) | 12.1022 | − | 6.98720i | 0.631729 | − | 0.364729i | −0.149693 | − | 0.988733i | \(-0.547828\pi\) |
0.781421 | + | 0.624004i | \(0.214495\pi\) | |||||||
\(368\) | 0.381806i | 0.0199030i | ||||||||
\(369\) | 0.484273 | + | 0.129761i | 0.0252102 | + | 0.00675506i | ||||
\(370\) | 0.589239 | + | 0.157886i | 0.0306331 | + | 0.00820811i | ||||
\(371\) | 9.61192 | − | 7.38299i | 0.499026 | − | 0.383305i | ||||
\(372\) | 2.96947 | − | 2.96947i | 0.153960 | − | 0.153960i | ||||
\(373\) | 3.93347 | − | 6.81297i | 0.203667 | − | 0.352762i | −0.746040 | − | 0.665901i | \(-0.768047\pi\) |
0.949707 | + | 0.313139i | \(0.101381\pi\) | |||||||
\(374\) | −1.77175 | − | 3.06876i | −0.0916150 | − | 0.158682i | ||||
\(375\) | −11.5474 | − | 3.09411i | −0.596305 | − | 0.159779i | ||||
\(376\) | −6.84072 | − | 11.8485i | −0.352783 | − | 0.611038i | ||||
\(377\) | 1.72969 | − | 5.92747i | 0.0890836 | − | 0.305280i | ||||
\(378\) | 2.44386 | − | 1.01368i | 0.125699 | − | 0.0521383i | ||||
\(379\) | 17.0033 | − | 4.55602i | 0.873401 | − | 0.234027i | 0.205843 | − | 0.978585i | \(-0.434006\pi\) |
0.667558 | + | 0.744558i | \(0.267340\pi\) | |||||||
\(380\) | 1.07184 | 0.0549844 | ||||||||
\(381\) | 4.55498 | 0.233359 | ||||||||
\(382\) | 3.96831 | − | 1.06330i | 0.203036 | − | 0.0544034i | ||||
\(383\) | 1.64423 | + | 6.13635i | 0.0840162 | + | 0.313553i | 0.995126 | − | 0.0986108i | \(-0.0314399\pi\) |
−0.911110 | + | 0.412164i | \(0.864773\pi\) | |||||||
\(384\) | 0.258819 | − | 0.965926i | 0.0132078 | − | 0.0492922i | ||||
\(385\) | −2.15833 | − | 2.80993i | −0.109999 | − | 0.143207i | ||||
\(386\) | 10.5904 | + | 18.3431i | 0.539037 | + | 0.933639i | ||||
\(387\) | − | 5.31695i | − | 0.270276i | ||||||
\(388\) | 4.19452 | − | 15.6542i | 0.212945 | − | 0.794720i | ||||
\(389\) | −30.5671 | − | 17.6479i | −1.54981 | − | 0.894785i | −0.998155 | − | 0.0607150i | \(-0.980662\pi\) |
−0.551658 | − | 0.834070i | \(-0.686005\pi\) | |||||||
\(390\) | −5.61741 | − | 1.63921i | −0.284449 | − | 0.0830046i | ||||
\(391\) | − | 1.63961i | − | 0.0829188i | ||||||
\(392\) | −7.00000 | + | 0.00687020i | −0.353553 | + | 0.000346998i | ||||
\(393\) | −4.51076 | + | 7.81287i | −0.227538 | + | 0.394107i | ||||
\(394\) | 13.3379 | + | 7.70062i | 0.671952 | + | 0.387951i | ||||
\(395\) | −3.14528 | − | 11.7383i | −0.158256 | − | 0.590620i | ||||
\(396\) | −0.583470 | − | 0.583470i | −0.0293205 | − | 0.0293205i | ||||
\(397\) | 7.09877 | − | 1.90211i | 0.356277 | − | 0.0954642i | −0.0762409 | − | 0.997089i | \(-0.524292\pi\) |
0.432518 | + | 0.901625i | \(0.357625\pi\) | |||||||
\(398\) | −7.98053 | − | 7.98053i | −0.400028 | − | 0.400028i | ||||
\(399\) | −0.669460 | − | 1.61398i | −0.0335149 | − | 0.0808000i | ||||
\(400\) | 2.04900 | + | 1.18299i | 0.102450 | + | 0.0591495i | ||||
\(401\) | −20.8949 | + | 20.8949i | −1.04344 | + | 1.04344i | −0.0444275 | + | 0.999013i | \(0.514146\pi\) |
−0.999013 | + | 0.0444275i | \(0.985854\pi\) | |||||||
\(402\) | 3.75157 | − | 6.49791i | 0.187111 | − | 0.324086i | ||||
\(403\) | 7.27874 | + | 13.2771i | 0.362580 | + | 0.661380i | ||||
\(404\) | 10.0072 | − | 5.77766i | 0.497877 | − | 0.287449i | ||||
\(405\) | −0.420055 | − | 1.56767i | −0.0208727 | − | 0.0778979i | ||||
\(406\) | −4.49251 | − | 0.589207i | −0.222959 | − | 0.0292419i | ||||
\(407\) | −0.268598 | + | 0.155075i | −0.0133139 | + | 0.00768678i | ||||
\(408\) | −1.11146 | + | 4.14803i | −0.0550256 | + | 0.205358i | ||||
\(409\) | −6.14465 | + | 6.14465i | −0.303834 | + | 0.303834i | −0.842512 | − | 0.538678i | \(-0.818924\pi\) |
0.538678 | + | 0.842512i | \(0.318924\pi\) | |||||||
\(410\) | −0.575362 | + | 0.575362i | −0.0284151 | + | 0.0284151i | ||||
\(411\) | −0.424018 | + | 1.58246i | −0.0209153 | + | 0.0780568i | ||||
\(412\) | 7.44012 | − | 4.29555i | 0.366548 | − | 0.211627i | ||||
\(413\) | −1.56733 | − | 3.77862i | −0.0771232 | − | 0.185934i | ||||
\(414\) | −0.0988188 | − | 0.368797i | −0.00485668 | − | 0.0181254i | ||||
\(415\) | 10.2818 | − | 5.93619i | 0.504713 | − | 0.291396i | ||||
\(416\) | 3.08185 | + | 1.87142i | 0.151100 | + | 0.0917537i | ||||
\(417\) | 4.78004 | − | 8.27928i | 0.234080 | − | 0.405438i | ||||
\(418\) | −0.385337 | + | 0.385337i | −0.0188474 | + | 0.0188474i | ||||
\(419\) | 6.14618 | + | 3.54850i | 0.300261 | + | 0.173355i | 0.642560 | − | 0.766235i | \(-0.277872\pi\) |
−0.342299 | + | 0.939591i | \(0.611206\pi\) | |||||||
\(420\) | −0.558386 | + | 4.25751i | −0.0272464 | + | 0.207745i | ||||
\(421\) | 19.9117 | + | 19.9117i | 0.970435 | + | 0.970435i | 0.999575 | − | 0.0291399i | \(-0.00927684\pi\) |
−0.0291399 | + | 0.999575i | \(0.509277\pi\) | |||||||
\(422\) | 11.9936 | − | 3.21368i | 0.583840 | − | 0.156440i | ||||
\(423\) | 9.67423 | + | 9.67423i | 0.470377 | + | 0.470377i | ||||
\(424\) | 1.18564 | + | 4.42489i | 0.0575800 | + | 0.214891i | ||||
\(425\) | −8.79913 | − | 5.08018i | −0.426820 | − | 0.246425i | ||||
\(426\) | 2.11716 | − | 3.66703i | 0.102577 | − | 0.177668i | ||||
\(427\) | −19.7362 | − | 25.6946i | −0.955103 | − | 1.24345i | ||||
\(428\) | 9.38823i | 0.453797i | ||||||||
\(429\) | 2.60882 | − | 1.43020i | 0.125955 | − | 0.0690505i | ||||
\(430\) | 7.47313 | + | 4.31461i | 0.360386 | + | 0.208069i | ||||
\(431\) | 9.11889 | − | 34.0322i | 0.439242 | − | 1.63927i | −0.291466 | − | 0.956581i | \(-0.594143\pi\) |
0.730707 | − | 0.682691i | \(-0.239190\pi\) | |||||||
\(432\) | 1.00000i | 0.0481125i | ||||||||
\(433\) | −10.4769 | − | 18.1465i | −0.503488 | − | 0.872068i | −0.999992 | − | 0.00403277i | \(-0.998716\pi\) |
0.496503 | − | 0.868035i | \(-0.334617\pi\) | |||||||
\(434\) | 8.81143 | − | 6.76812i | 0.422962 | − | 0.324880i | ||||
\(435\) | −0.719365 | + | 2.68471i | −0.0344909 | + | 0.128722i | ||||
\(436\) | −1.57887 | − | 5.89242i | −0.0756141 | − | 0.282196i | ||||
\(437\) | −0.243562 | + | 0.0652622i | −0.0116511 | + | 0.00312191i | ||||
\(438\) | −11.4857 | −0.548807 | ||||||||
\(439\) | 11.5304 | 0.550318 | 0.275159 | − | 0.961399i | \(-0.411269\pi\) | ||||
0.275159 | + | 0.961399i | \(0.411269\pi\) | |||||||
\(440\) | 1.29356 | − | 0.346609i | 0.0616682 | − | 0.0165239i | ||||
\(441\) | 6.75970 | − | 1.81837i | 0.321890 | − | 0.0865890i | ||||
\(442\) | −13.2346 | − | 8.03653i | −0.629504 | − | 0.382259i | ||||
\(443\) | −20.2056 | − | 34.9971i | −0.959995 | − | 1.66276i | −0.722499 | − | 0.691372i | \(-0.757006\pi\) |
−0.237497 | − | 0.971388i | \(-0.576327\pi\) | |||||||
\(444\) | 0.363063 | + | 0.0972824i | 0.0172302 | + | 0.00461682i | ||||
\(445\) | 8.57921 | + | 14.8596i | 0.406694 | + | 0.704414i | ||||
\(446\) | −5.93128 | + | 10.2733i | −0.280854 | + | 0.486454i | ||||
\(447\) | −2.69858 | + | 2.69858i | −0.127638 | + | 0.127638i | ||||
\(448\) | 1.01129 | − | 2.44485i | 0.0477788 | − | 0.115508i | ||||
\(449\) | 30.8308 | + | 8.26109i | 1.45500 | + | 0.389865i | 0.897758 | − | 0.440488i | \(-0.145195\pi\) |
0.557237 | + | 0.830353i | \(0.311861\pi\) | |||||||
\(450\) | −2.28536 | − | 0.612360i | −0.107733 | − | 0.0288669i | ||||
\(451\) | − | 0.413695i | − | 0.0194801i | ||||||
\(452\) | −11.0959 | + | 6.40625i | −0.521909 | + | 0.301324i | ||||
\(453\) | 12.4431 | + | 12.4431i | 0.584626 | + | 0.584626i | ||||
\(454\) | 14.6687 | 0.688437 | ||||||||
\(455\) | −14.1721 | − | 6.23280i | −0.664398 | − | 0.292198i | ||||
\(456\) | 0.660423 | 0.0309271 | ||||||||
\(457\) | −19.7641 | − | 19.7641i | −0.924525 | − | 0.924525i | 0.0728198 | − | 0.997345i | \(-0.476800\pi\) |
−0.997345 | + | 0.0728198i | \(0.976800\pi\) | |||||||
\(458\) | −13.9752 | + | 8.06861i | −0.653020 | + | 0.377021i | ||||
\(459\) | − | 4.29436i | − | 0.200443i | ||||||
\(460\) | 0.598545 | + | 0.160380i | 0.0279073 | + | 0.00747774i | ||||
\(461\) | −29.5044 | − | 7.90568i | −1.37416 | − | 0.368204i | −0.505162 | − | 0.863025i | \(-0.668567\pi\) |
−0.868995 | + | 0.494820i | \(0.835234\pi\) | |||||||
\(462\) | −1.32987 | − | 1.73135i | −0.0618709 | − | 0.0805499i | ||||
\(463\) | −18.6854 | + | 18.6854i | −0.868386 | + | 0.868386i | −0.992294 | − | 0.123907i | \(-0.960457\pi\) |
0.123907 | + | 0.992294i | \(0.460457\pi\) | |||||||
\(464\) | 0.856275 | − | 1.48311i | 0.0397516 | − | 0.0688518i | ||||
\(465\) | −3.40780 | − | 5.90248i | −0.158033 | − | 0.273721i | ||||
\(466\) | −12.4164 | − | 3.32696i | −0.575178 | − | 0.154119i | ||||
\(467\) | −8.85664 | − | 15.3402i | −0.409837 | − | 0.709858i | 0.585035 | − | 0.811008i | \(-0.301081\pi\) |
−0.994871 | + | 0.101151i | \(0.967748\pi\) | |||||||
\(468\) | −3.46120 | − | 1.01001i | −0.159994 | − | 0.0466876i | ||||
\(469\) | 12.0771 | − | 15.7551i | 0.557667 | − | 0.727504i | ||||
\(470\) | −21.4479 | + | 5.74695i | −0.989318 | + | 0.265087i | ||||
\(471\) | −15.7267 | −0.724650 | ||||||||
\(472\) | 1.54617 | 0.0711682 | ||||||||
\(473\) | −4.23779 | + | 1.13551i | −0.194854 | + | 0.0522110i | ||||
\(474\) | −1.93798 | − | 7.23265i | −0.0890145 | − | 0.332207i | ||||
\(475\) | −0.404416 | + | 1.50930i | −0.0185559 | + | 0.0692516i | ||||
\(476\) | −4.34282 | + | 10.4991i | −0.199053 | + | 0.481224i | ||||
\(477\) | −2.29049 | − | 3.96724i | −0.104874 | − | 0.181648i | ||||
\(478\) | 19.1003i | 0.873627i | ||||||||
\(479\) | −9.04785 | + | 33.7670i | −0.413407 | + | 1.54285i | 0.374599 | + | 0.927187i | \(0.377780\pi\) |
−0.788006 | + | 0.615668i | \(0.788886\pi\) | |||||||
\(480\) | −1.40553 | − | 0.811483i | −0.0641534 | − | 0.0370390i | ||||
\(481\) | −0.703410 | + | 1.15838i | −0.0320727 | + | 0.0528174i | ||||
\(482\) | 9.80044i | 0.446398i | ||||||||
\(483\) | −0.132344 | − | 1.00146i | −0.00602188 | − | 0.0455679i | ||||
\(484\) | 5.15956 | − | 8.93662i | 0.234526 | − | 0.406210i | ||||
\(485\) | −22.7786 | − | 13.1512i | −1.03432 | − | 0.597166i | ||||
\(486\) | −0.258819 | − | 0.965926i | −0.0117403 | − | 0.0438153i | ||||
\(487\) | 27.3697 | + | 27.3697i | 1.24024 | + | 1.24024i | 0.959901 | + | 0.280341i | \(0.0904475\pi\) |
0.280341 | + | 0.959901i | \(0.409553\pi\) | |||||||
\(488\) | 11.8286 | − | 3.16947i | 0.535456 | − | 0.143475i | ||||
\(489\) | 2.62695 | + | 2.62695i | 0.118795 | + | 0.118795i | ||||
\(490\) | −2.92961 | + | 10.9765i | −0.132346 | + | 0.495870i | ||||
\(491\) | −29.8739 | − | 17.2477i | −1.34819 | − | 0.778379i | −0.360199 | − | 0.932875i | \(-0.617291\pi\) |
−0.987993 | + | 0.154496i | \(0.950625\pi\) | |||||||
\(492\) | −0.354512 | + | 0.354512i | −0.0159827 | + | 0.0159827i | ||||
\(493\) | −3.67715 | + | 6.36902i | −0.165611 | + | 0.286846i | ||||
\(494\) | −0.667032 | + | 2.28585i | −0.0300112 | + | 0.102845i | ||||
\(495\) | −1.15978 | + | 0.669597i | −0.0521281 | + | 0.0300961i | ||||
\(496\) | 1.08690 | + | 4.05637i | 0.0488033 | + | 0.182137i | ||||
\(497\) | 6.81557 | − | 8.89126i | 0.305720 | − | 0.398827i | ||||
\(498\) | 6.33518 | − | 3.65762i | 0.283886 | − | 0.163902i | ||||
\(499\) | 4.43740 | − | 16.5606i | 0.198645 | − | 0.741354i | −0.792648 | − | 0.609680i | \(-0.791298\pi\) |
0.991293 | − | 0.131674i | \(-0.0420352\pi\) | |||||||
\(500\) | 8.45328 | − | 8.45328i | 0.378042 | − | 0.378042i | ||||
\(501\) | 9.52786 | − | 9.52786i | 0.425673 | − | 0.425673i | ||||
\(502\) | −4.77534 | + | 17.8218i | −0.213134 | + | 0.795427i | ||||
\(503\) | 14.1495 | − | 8.16924i | 0.630897 | − | 0.364248i | −0.150203 | − | 0.988655i | \(-0.547993\pi\) |
0.781099 | + | 0.624407i | \(0.214659\pi\) | |||||||
\(504\) | −0.344053 | + | 2.62329i | −0.0153253 | + | 0.116850i | ||||
\(505\) | −4.85387 | − | 18.1149i | −0.215994 | − | 0.806101i | ||||
\(506\) | −0.272840 | + | 0.157524i | −0.0121292 | + | 0.00700280i | ||||
\(507\) | 6.99167 | − | 10.9598i | 0.310511 | − | 0.486740i | ||||
\(508\) | −2.27749 | + | 3.94473i | −0.101047 | + | 0.175019i | ||||
\(509\) | −23.8779 | + | 23.8779i | −1.05837 | + | 1.05837i | −0.0601828 | + | 0.998187i | \(0.519168\pi\) |
−0.998187 | + | 0.0601828i | \(0.980832\pi\) | |||||||
\(510\) | 6.03585 | + | 3.48480i | 0.267272 | + | 0.154310i | ||||
\(511\) | −30.1302 | − | 3.95168i | −1.33288 | − | 0.174812i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −0.637919 | + | 0.170930i | −0.0281648 | + | 0.00754674i | ||||
\(514\) | −15.7797 | − | 15.7797i | −0.696013 | − | 0.696013i | ||||
\(515\) | −3.60874 | − | 13.4680i | −0.159020 | − | 0.593470i | ||||
\(516\) | 4.60461 | + | 2.65847i | 0.202707 | + | 0.117033i | ||||
\(517\) | 5.64463 | − | 9.77678i | 0.248250 | − | 0.429982i | ||||
\(518\) | 0.918947 | + | 0.380112i | 0.0403762 | + | 0.0167012i | ||||
\(519\) | 23.0813i | 1.01316i | ||||||||
\(520\) | 4.22830 | − | 4.04521i | 0.185423 | − | 0.177394i | ||||
\(521\) | 16.8569 | + | 9.73236i | 0.738516 | + | 0.426382i | 0.821530 | − | 0.570166i | \(-0.193121\pi\) |
−0.0830135 | + | 0.996548i | \(0.526454\pi\) | |||||||
\(522\) | −0.443241 | + | 1.65420i | −0.0194001 | + | 0.0724022i | ||||
\(523\) | − | 40.8287i | − | 1.78531i | −0.450737 | − | 0.892657i | \(-0.648839\pi\) | ||
0.450737 | − | 0.892657i | \(-0.351161\pi\) | |||||||
\(524\) | −4.51076 | − | 7.81287i | −0.197054 | − | 0.341307i | ||||
\(525\) | −5.78447 | − | 2.39268i | −0.252455 | − | 0.104425i | ||||
\(526\) | −4.24756 | + | 15.8521i | −0.185202 | + | 0.691184i | ||||
\(527\) | −4.66755 | − | 17.4195i | −0.203322 | − | 0.758806i | ||||
\(528\) | 0.797035 | − | 0.213565i | 0.0346865 | − | 0.00929422i | ||||
\(529\) | 22.8542 | 0.993662 | ||||||||
\(530\) | 7.43478 | 0.322946 | ||||||||
\(531\) | −1.49348 | + | 0.400178i | −0.0648117 | + | 0.0173663i | ||||
\(532\) | 1.73248 | + | 0.227220i | 0.0751124 | + | 0.00985124i | ||||
\(533\) | −0.868977 | − | 1.58510i | −0.0376396 | − | 0.0686582i | ||||
\(534\) | 5.28613 | + | 9.15584i | 0.228753 | + | 0.396212i | ||||
\(535\) | 14.7176 | + | 3.94357i | 0.636298 | + | 0.170495i | ||||
\(536\) | 3.75157 | + | 6.49791i | 0.162043 | + | 0.280667i | ||||
\(537\) | 3.50698 | − | 6.07426i | 0.151337 | − | 0.262124i | ||||
\(538\) | −11.8949 | + | 11.8949i | −0.512827 | + | 0.512827i | ||||
\(539\) | −2.89294 | − | 4.99938i | −0.124608 | − | 0.215339i | ||||
\(540\) | 1.56767 | + | 0.420055i | 0.0674616 | + | 0.0180763i | ||||
\(541\) | 27.3075 | + | 7.31703i | 1.17404 | + | 0.314583i | 0.792561 | − | 0.609793i | \(-0.208747\pi\) |
0.381481 | + | 0.924377i | \(0.375414\pi\) | |||||||
\(542\) | 4.25774i | 0.182886i | ||||||||
\(543\) | 4.36097 | − | 2.51781i | 0.187147 | − | 0.108050i | ||||
\(544\) | −3.03657 | − | 3.03657i | −0.130192 | − | 0.130192i | ||||
\(545\) | −9.90056 | −0.424093 | ||||||||
\(546\) | −8.73221 | − | 3.84037i | −0.373704 | − | 0.164353i | ||||
\(547\) | −32.6461 | −1.39584 | −0.697922 | − | 0.716173i | \(-0.745892\pi\) | ||||
−0.697922 | + | 0.716173i | \(0.745892\pi\) | |||||||
\(548\) | −1.15844 | − | 1.15844i | −0.0494861 | − | 0.0494861i | ||||
\(549\) | −10.6052 | + | 6.12294i | −0.452621 | + | 0.261321i | ||||
\(550\) | 1.95229i | 0.0832460i | ||||||||
\(551\) | 1.09247 | + | 0.292726i | 0.0465407 | + | 0.0124706i | ||||
\(552\) | 0.368797 | + | 0.0988188i | 0.0156970 | + | 0.00420601i | ||||
\(553\) | −2.59547 | − | 19.6401i | −0.110371 | − | 0.835181i | ||||
\(554\) | −15.9503 | + | 15.9503i | −0.677663 | + | 0.677663i | ||||
\(555\) | 0.305013 | − | 0.528297i | 0.0129471 | − | 0.0224250i | ||||
\(556\) | 4.78004 | + | 8.27928i | 0.202719 | + | 0.351120i | ||||
\(557\) | −26.5061 | − | 7.10228i | −1.12310 | − | 0.300933i | −0.350962 | − | 0.936390i | \(-0.614145\pi\) |
−0.772137 | + | 0.635456i | \(0.780812\pi\) | |||||||
\(558\) | −2.09973 | − | 3.63685i | −0.0888888 | − | 0.153960i | ||||
\(559\) | −13.8522 | + | 13.2524i | −0.585885 | + | 0.560516i | ||||
\(560\) | −3.40792 | − | 2.61233i | −0.144011 | − | 0.110391i | ||||
\(561\) | −3.42276 | + | 0.917125i | −0.144509 | + | 0.0387210i | ||||
\(562\) | 10.4503 | 0.440819 | ||||||||
\(563\) | 21.1871 | 0.892930 | 0.446465 | − | 0.894801i | \(-0.352683\pi\) | ||||
0.446465 | + | 0.894801i | \(0.352683\pi\) | |||||||
\(564\) | −13.2152 | + | 3.54101i | −0.556462 | + | 0.149104i | ||||
\(565\) | 5.38195 | + | 20.0857i | 0.226420 | + | 0.845012i | ||||
\(566\) | −4.53437 | + | 16.9225i | −0.190594 | + | 0.711306i | ||||
\(567\) | −0.346627 | − | 2.62295i | −0.0145570 | − | 0.110153i | ||||
\(568\) | 2.11716 | + | 3.66703i | 0.0888342 | + | 0.153865i | ||||
\(569\) | 34.8300i | 1.46015i | 0.683367 | + | 0.730075i | \(0.260515\pi\) | ||||
−0.683367 | + | 0.730075i | \(0.739485\pi\) | |||||||
\(570\) | 0.277414 | − | 1.03532i | 0.0116196 | − | 0.0433649i | ||||
\(571\) | −19.8627 | − | 11.4677i | −0.831228 | − | 0.479910i | 0.0230452 | − | 0.999734i | \(-0.492664\pi\) |
−0.854273 | + | 0.519825i | \(0.825997\pi\) | |||||||
\(572\) | −0.0658217 | + | 2.97440i | −0.00275214 | + | 0.124366i | ||||
\(573\) | − | 4.10829i | − | 0.171626i | ||||||
\(574\) | −1.05196 | + | 0.808016i | −0.0439079 | + | 0.0337260i | ||||
\(575\) | −0.451673 | + | 0.782320i | −0.0188361 | + | 0.0326250i | ||||
\(576\) | −0.866025 | − | 0.500000i | −0.0360844 | − | 0.0208333i | ||||
\(577\) | −3.77797 | − | 14.0996i | −0.157279 | − | 0.586973i | −0.998899 | − | 0.0469033i | \(-0.985065\pi\) |
0.841621 | − | 0.540069i | \(-0.181602\pi\) | |||||||
\(578\) | 1.01931 | + | 1.01931i | 0.0423976 | + | 0.0423976i | ||||
\(579\) | 20.4591 | − | 5.48199i | 0.850250 | − | 0.227824i | ||||
\(580\) | −1.96534 | − | 1.96534i | −0.0816064 | − | 0.0816064i | ||||
\(581\) | 17.8774 | − | 7.41534i | 0.741680 | − | 0.307640i | ||||
\(582\) | −14.0351 | − | 8.10319i | −0.581775 | − | 0.335888i | ||||
\(583\) | −2.67287 | + | 2.67287i | −0.110699 | + | 0.110699i | ||||
\(584\) | 5.74285 | − | 9.94690i | 0.237641 | − | 0.411606i | ||||
\(585\) | −3.03725 | + | 5.00174i | −0.125575 | + | 0.206797i | ||||
\(586\) | 4.30514 | − | 2.48557i | 0.177844 | − | 0.102678i | ||||
\(587\) | 3.79127 | + | 14.1492i | 0.156482 | + | 0.584001i | 0.998974 | + | 0.0452907i | \(0.0144214\pi\) |
−0.842491 | + | 0.538710i | \(0.818912\pi\) | |||||||
\(588\) | −1.80510 | + | 6.76326i | −0.0744409 | + | 0.278912i | ||||
\(589\) | −2.40185 | + | 1.38671i | −0.0989667 | + | 0.0571384i | ||||
\(590\) | 0.649476 | − | 2.42388i | 0.0267385 | − | 0.0997894i | ||||
\(591\) | 10.8903 | − | 10.8903i | 0.447968 | − | 0.447968i | ||||
\(592\) | −0.265780 | + | 0.265780i | −0.0109235 | + | 0.0109235i | ||||
\(593\) | 8.53339 | − | 31.8471i | 0.350425 | − | 1.30780i | −0.535721 | − | 0.844395i | \(-0.679960\pi\) |
0.886146 | − | 0.463407i | \(-0.153373\pi\) | |||||||
\(594\) | −0.714602 | + | 0.412576i | −0.0293205 | + | 0.0169282i | ||||
\(595\) | 14.6348 | + | 11.2183i | 0.599969 | + | 0.459905i | ||||
\(596\) | −0.987748 | − | 3.68633i | −0.0404597 | − | 0.150998i | ||||
\(597\) | −9.77412 | + | 5.64309i | −0.400028 | + | 0.230956i | ||||
\(598\) | −0.714519 | + | 1.17667i | −0.0292189 | + | 0.0481176i | ||||
\(599\) | −11.8719 | + | 20.5628i | −0.485075 | + | 0.840174i | −0.999853 | − | 0.0171493i | \(-0.994541\pi\) |
0.514778 | + | 0.857323i | \(0.327874\pi\) | |||||||
\(600\) | 1.67300 | − | 1.67300i | 0.0682999 | − | 0.0682999i | ||||
\(601\) | 11.9640 | + | 6.90744i | 0.488023 | + | 0.281760i | 0.723754 | − | 0.690058i | \(-0.242415\pi\) |
−0.235731 | + | 0.971818i | \(0.575748\pi\) | |||||||
\(602\) | 11.1646 | + | 8.55816i | 0.455033 | + | 0.348805i | ||||
\(603\) | −5.30552 | − | 5.30552i | −0.216057 | − | 0.216057i | ||||
\(604\) | −16.9975 | + | 4.55448i | −0.691620 | + | 0.185319i | ||||
\(605\) | −11.8423 | − | 11.8423i | −0.481460 | − | 0.481460i | ||||
\(606\) | −2.99074 | − | 11.1616i | −0.121490 | − | 0.453408i | ||||
\(607\) | 11.9562 | + | 6.90292i | 0.485287 | + | 0.280181i | 0.722617 | − | 0.691248i | \(-0.242939\pi\) |
−0.237330 | + | 0.971429i | \(0.576272\pi\) | |||||||
\(608\) | −0.330211 | + | 0.571943i | −0.0133918 | + | 0.0231953i | ||||
\(609\) | −1.73188 | + | 4.18693i | −0.0701792 | + | 0.169663i | ||||
\(610\) | − | 19.8747i | − | 0.804702i | ||||||
\(611\) | 1.09136 | − | 49.3170i | 0.0441516 | − | 1.99515i | ||||
\(612\) | 3.71902 | + | 2.14718i | 0.150333 | + | 0.0867946i | ||||
\(613\) | −1.59295 | + | 5.94498i | −0.0643387 | + | 0.240115i | −0.990605 | − | 0.136754i | \(-0.956333\pi\) |
0.926266 | + | 0.376870i | \(0.123000\pi\) | |||||||
\(614\) | 25.2962i | 1.02087i | ||||||||
\(615\) | 0.406842 | + | 0.704672i | 0.0164055 | + | 0.0284151i | ||||
\(616\) | 2.16433 | − | 0.286020i | 0.0872033 | − | 0.0115241i | ||||
\(617\) | 4.00262 | − | 14.9380i | 0.161139 | − | 0.601381i | −0.837362 | − | 0.546649i | \(-0.815903\pi\) |
0.998501 | − | 0.0547314i | \(-0.0174303\pi\) | |||||||
\(618\) | −2.22354 | − | 8.29837i | −0.0894440 | − | 0.333809i | ||||
\(619\) | −41.6279 | + | 11.1542i | −1.67317 | + | 0.448323i | −0.965961 | − | 0.258686i | \(-0.916710\pi\) |
−0.707204 | + | 0.707010i | \(0.750044\pi\) | |||||||
\(620\) | 6.81560 | 0.273721 | ||||||||
\(621\) | −0.381806 | −0.0153214 | ||||||||
\(622\) | −5.27728 | + | 1.41404i | −0.211600 | + | 0.0566979i | ||||
\(623\) | 10.7169 | + | 25.8371i | 0.429365 | + | 1.03514i | ||||
\(624\) | 2.60529 | − | 2.49248i | 0.104295 | − | 0.0997791i | ||||
\(625\) | −3.78613 | − | 6.55777i | −0.151445 | − | 0.262311i | ||||
\(626\) | −23.2689 | − | 6.23487i | −0.930011 | − | 0.249196i | ||||
\(627\) | 0.272474 | + | 0.471940i | 0.0108816 | + | 0.0188474i | ||||
\(628\) | 7.86337 | − | 13.6198i | 0.313783 | − | 0.543488i | ||||
\(629\) | 1.14136 | − | 1.14136i | 0.0455089 | − | 0.0455089i | ||||
\(630\) | 3.96791 | + | 1.64128i | 0.158085 | + | 0.0653903i | ||||
\(631\) | −6.97794 | − | 1.86973i | −0.277787 | − | 0.0744329i | 0.117236 | − | 0.993104i | \(-0.462597\pi\) |
−0.395023 | + | 0.918671i | \(0.629263\pi\) | |||||||
\(632\) | 7.23265 | + | 1.93798i | 0.287699 | + | 0.0770888i | ||||
\(633\) | − | 12.4167i | − | 0.493520i | ||||||
\(634\) | 3.02036 | − | 1.74380i | 0.119954 | − | 0.0692553i | ||||
\(635\) | 5.22735 | + | 5.22735i | 0.207441 | + | 0.207441i | ||||
\(636\) | 4.58098 | 0.181648 | ||||||||
\(637\) | −21.5858 | − | 13.0787i | −0.855260 | − | 0.518198i | ||||
\(638\) | 1.41311 | 0.0559457 | ||||||||
\(639\) | −2.99412 | − | 2.99412i | −0.118446 | − | 0.118446i | ||||
\(640\) | 1.40553 | − | 0.811483i | 0.0555585 | − | 0.0320767i | ||||
\(641\) | 6.19839i | 0.244822i | 0.992480 | + | 0.122411i | \(0.0390626\pi\) | ||||
−0.992480 | + | 0.122411i | \(0.960937\pi\) | |||||||
\(642\) | 9.06833 | + | 2.42985i | 0.357899 | + | 0.0958986i | ||||
\(643\) | −6.46325 | − | 1.73182i | −0.254886 | − | 0.0682964i | 0.129114 | − | 0.991630i | \(-0.458787\pi\) |
−0.383999 | + | 0.923333i | \(0.625453\pi\) | |||||||
\(644\) | 0.933460 | + | 0.386115i | 0.0367835 | + | 0.0152151i | ||||
\(645\) | 6.10179 | − | 6.10179i | 0.240258 | − | 0.240258i | ||||
\(646\) | 1.41805 | − | 2.45613i | 0.0557923 | − | 0.0966350i | ||||
\(647\) | 1.69327 | + | 2.93282i | 0.0665692 | + | 0.115301i | 0.897389 | − | 0.441240i | \(-0.145461\pi\) |
−0.830820 | + | 0.556542i | \(0.812128\pi\) | |||||||
\(648\) | 0.965926 | + | 0.258819i | 0.0379452 | + | 0.0101674i | ||||
\(649\) | 0.637912 | + | 1.10490i | 0.0250402 | + | 0.0433710i | ||||
\(650\) | 4.10084 | + | 7.48032i | 0.160848 | + | 0.293402i | ||||
\(651\) | −4.25694 | − | 10.2629i | −0.166842 | − | 0.402235i | ||||
\(652\) | −3.58847 | + | 0.961529i | −0.140536 | + | 0.0376564i | ||||
\(653\) | 8.37502 | 0.327740 | 0.163870 | − | 0.986482i | \(-0.447602\pi\) | ||||
0.163870 | + | 0.986482i | \(0.447602\pi\) | |||||||
\(654\) | −6.10028 | −0.238540 | ||||||||
\(655\) | −14.1427 | + | 3.78953i | −0.552602 | + | 0.148069i | ||||
\(656\) | −0.129761 | − | 0.484273i | −0.00506630 | − | 0.0189077i | ||||
\(657\) | −2.97272 | + | 11.0943i | −0.115977 | + | 0.432831i | ||||
\(658\) | −35.8857 | + | 4.74235i | −1.39897 | + | 0.184876i | ||||
\(659\) | −5.81421 | − | 10.0705i | −0.226489 | − | 0.392291i | 0.730276 | − | 0.683152i | \(-0.239392\pi\) |
−0.956765 | + | 0.290861i | \(0.906058\pi\) | |||||||
\(660\) | − | 1.33919i | − | 0.0521281i | ||||||
\(661\) | −9.86844 | + | 36.8295i | −0.383838 | + | 1.43250i | 0.456153 | + | 0.889902i | \(0.349227\pi\) |
−0.839991 | + | 0.542601i | \(0.817440\pi\) | |||||||
\(662\) | 4.27729 | + | 2.46950i | 0.166242 | + | 0.0959797i | ||||
\(663\) | −11.1881 | + | 10.7036i | −0.434508 | + | 0.415694i | ||||
\(664\) | 7.31524i | 0.283886i | ||||||||
\(665\) | 1.08394 | − | 2.62050i | 0.0420334 | − | 0.101619i | ||||
\(666\) | 0.187935 | − | 0.325513i | 0.00728234 | − | 0.0126134i | ||||
\(667\) | 0.566262 | + | 0.326931i | 0.0219257 | + | 0.0126588i | ||||
\(668\) | 3.48744 | + | 13.0153i | 0.134933 | + | 0.503577i | ||||
\(669\) | 8.38810 | + | 8.38810i | 0.324303 | + | 0.324303i | ||||
\(670\) | 11.7624 | − | 3.15173i | 0.454422 | − | 0.121762i | ||||
\(671\) | 7.14511 | + | 7.14511i | 0.275834 | + | 0.275834i | ||||
\(672\) | −2.09981 | − | 1.60960i | −0.0810018 | − | 0.0620917i | ||||
\(673\) | −22.0840 | − | 12.7502i | −0.851277 | − | 0.491485i | 0.00980485 | − | 0.999952i | \(-0.496879\pi\) |
−0.861081 | + | 0.508467i | \(0.830212\pi\) | |||||||
\(674\) | 19.6097 | − | 19.6097i | 0.755337 | − | 0.755337i | ||||
\(675\) | −1.18299 | + | 2.04900i | −0.0455333 | + | 0.0788659i | ||||
\(676\) | 5.99560 | + | 11.5349i | 0.230600 | + | 0.443648i | ||||
\(677\) | 21.0666 | − | 12.1628i | 0.809654 | − | 0.467454i | −0.0371820 | − | 0.999309i | \(-0.511838\pi\) |
0.846836 | + | 0.531855i | \(0.178505\pi\) | |||||||
\(678\) | 3.31612 | + | 12.3759i | 0.127355 | + | 0.475294i | ||||
\(679\) | −34.0303 | − | 26.0858i | −1.30596 | − | 1.00108i | ||||
\(680\) | −6.03585 | + | 3.48480i | −0.231464 | + | 0.133636i | ||||
\(681\) | 3.79654 | − | 14.1689i | 0.145484 | − | 0.542953i | ||||
\(682\) | −2.45026 | + | 2.45026i | −0.0938255 | + | 0.0938255i | ||||
\(683\) | 32.6233 | − | 32.6233i | 1.24830 | − | 1.24830i | 0.291823 | − | 0.956472i | \(-0.405738\pi\) |
0.956472 | − | 0.291823i | \(-0.0942617\pi\) | |||||||
\(684\) | 0.170930 | − | 0.637919i | 0.00653567 | − | 0.0243914i | ||||
\(685\) | −2.30265 | + | 1.32944i | −0.0879798 | + | 0.0507952i | ||||
\(686\) | −7.06220 | + | 17.1209i | −0.269636 | + | 0.653679i | ||||
\(687\) | 4.17662 | + | 15.5874i | 0.159348 | + | 0.594695i | ||||
\(688\) | −4.60461 | + | 2.65847i | −0.175549 | + | 0.101353i | ||||
\(689\) | −4.62682 | + | 15.8557i | −0.176268 | + | 0.604053i | ||||
\(690\) | 0.309830 | − | 0.536641i | 0.0117950 | − | 0.0204296i | ||||
\(691\) | 23.4337 | − | 23.4337i | 0.891459 | − | 0.891459i | −0.103201 | − | 0.994661i | \(-0.532908\pi\) |
0.994661 | + | 0.103201i | \(0.0329085\pi\) | |||||||
\(692\) | −19.9890 | − | 11.5406i | −0.759866 | − | 0.438709i | ||||
\(693\) | −2.01655 | + | 0.836444i | −0.0766026 | + | 0.0317739i | ||||
\(694\) | −2.25649 | − | 2.25649i | −0.0856553 | − | 0.0856553i | ||||
\(695\) | 14.9870 | − | 4.01576i | 0.568490 | − | 0.152326i | ||||
\(696\) | −1.21096 | − | 1.21096i | −0.0459012 | − | 0.0459012i | ||||
\(697\) | 0.557238 | + | 2.07964i | 0.0211069 | + | 0.0787720i | ||||
\(698\) | 2.39914 | + | 1.38515i | 0.0908089 | + | 0.0524285i | ||||
\(699\) | −6.42720 | + | 11.1322i | −0.243099 | + | 0.421060i | ||||
\(700\) | 4.96435 | − | 3.81316i | 0.187635 | − | 0.144124i | ||||
\(701\) | − | 15.7207i | − | 0.593761i | −0.954915 | − | 0.296880i | \(-0.904054\pi\) | ||
0.954915 | − | 0.296880i | \(-0.0959463\pi\) | |||||||
\(702\) | −1.87142 | + | 3.08185i | −0.0706321 | + | 0.116317i | ||||
\(703\) | −0.214976 | − | 0.124117i | −0.00810798 | − | 0.00468115i | ||||
\(704\) | −0.213565 | + | 0.797035i | −0.00804903 | + | 0.0300394i | ||||
\(705\) | 22.2045i | 0.836270i | ||||||||
\(706\) | 11.9855 | + | 20.7595i | 0.451080 | + | 0.781294i | ||||
\(707\) | −4.00538 | − | 30.3090i | −0.150638 | − | 1.13989i | ||||
\(708\) | 0.400178 | − | 1.49348i | 0.0150396 | − | 0.0561286i | ||||
\(709\) | −1.94388 | − | 7.25466i | −0.0730040 | − | 0.272454i | 0.919769 | − | 0.392459i | \(-0.128376\pi\) |
−0.992773 | + | 0.120005i | \(0.961709\pi\) | |||||||
\(710\) | 6.63801 | − | 1.77865i | 0.249120 | − | 0.0667515i | ||||
\(711\) | −7.48779 | −0.280814 | ||||||||
\(712\) | −10.5723 | −0.396212 | ||||||||
\(713\) | −1.54875 | + | 0.414986i | −0.0580011 | + | 0.0155414i | ||||
\(714\) | 9.01732 | + | 6.91220i | 0.337465 | + | 0.258683i | ||||
\(715\) | 4.63521 | + | 1.35260i | 0.173347 | + | 0.0505843i | ||||
\(716\) | 3.50698 | + | 6.07426i | 0.131062 | + | 0.227006i | ||||
\(717\) | 18.4495 | + | 4.94352i | 0.689008 | + | 0.184619i | ||||
\(718\) | 4.76475 | + | 8.25278i | 0.177819 | + | 0.307991i | ||||
\(719\) | 18.3004 | − | 31.6973i | 0.682491 | − | 1.18211i | −0.291728 | − | 0.956501i | \(-0.594230\pi\) |
0.974218 | − | 0.225607i | \(-0.0724365\pi\) | |||||||
\(720\) | −1.14761 | + | 1.14761i | −0.0427689 | + | 0.0427689i | ||||
\(721\) | −2.97791 | − | 22.5340i | −0.110903 | − | 0.839211i | ||||
\(722\) | 17.9313 | + | 4.80468i | 0.667334 | + | 0.178812i | ||||
\(723\) | 9.46650 | + | 2.53654i | 0.352063 | + | 0.0943349i | ||||
\(724\) | 5.03562i | 0.187147i | ||||||||
\(725\) | 3.50901 | − | 2.02593i | 0.130321 | − | 0.0752411i | ||||
\(726\) | −7.29672 | − | 7.29672i | −0.270807 | − | 0.270807i | ||||
\(727\) | −21.7594 | −0.807011 | −0.403506 | − | 0.914977i | \(-0.632208\pi\) | ||||
−0.403506 | + | 0.914977i | \(0.632208\pi\) | |||||||
\(728\) | 7.69197 | − | 5.64213i | 0.285083 | − | 0.209111i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −13.1811 | − | 13.1811i | −0.487855 | − | 0.487855i | ||||
\(731\) | 19.7738 | − | 11.4164i | 0.731362 | − | 0.422252i | ||||
\(732\) | − | 12.2459i | − | 0.452621i | ||||||
\(733\) | 5.07883 | + | 1.36087i | 0.187591 | + | 0.0502649i | 0.351391 | − | 0.936229i | \(-0.385709\pi\) |
−0.163800 | + | 0.986494i | \(0.552375\pi\) | |||||||
\(734\) | 13.4982 | + | 3.61684i | 0.498229 | + | 0.133500i | ||||
\(735\) | 9.84428 | + | 5.67073i | 0.363112 | + | 0.209168i | ||||
\(736\) | −0.269978 | + | 0.269978i | −0.00995152 | + | 0.00995152i | ||||
\(737\) | −3.09561 | + | 5.36176i | −0.114028 | + | 0.197503i | ||||
\(738\) | 0.250678 | + | 0.434187i | 0.00922759 | + | 0.0159827i | ||||
\(739\) | −15.8606 | − | 4.24984i | −0.583443 | − | 0.156333i | −0.0449881 | − | 0.998988i | \(-0.514325\pi\) |
−0.538455 | + | 0.842655i | \(0.680992\pi\) | |||||||
\(740\) | 0.305013 | + | 0.528297i | 0.0112125 | + | 0.0194206i | ||||
\(741\) | 2.03532 | + | 1.23593i | 0.0747695 | + | 0.0454029i | ||||
\(742\) | 12.0172 | + | 1.57610i | 0.441166 | + | 0.0578604i | ||||
\(743\) | −10.5714 | + | 2.83260i | −0.387827 | + | 0.103918i | −0.447463 | − | 0.894302i | \(-0.647672\pi\) |
0.0596366 | + | 0.998220i | \(0.481006\pi\) | |||||||
\(744\) | 4.19947 | 0.153960 | ||||||||
\(745\) | −6.19384 | −0.226925 | ||||||||
\(746\) | 7.59888 | − | 2.03611i | 0.278215 | − | 0.0745474i | ||||
\(747\) | −1.89332 | − | 7.06598i | −0.0692731 | − | 0.258531i | ||||
\(748\) | 0.917125 | − | 3.42276i | 0.0335334 | − | 0.125148i | ||||
\(749\) | 22.9528 | + | 9.49418i | 0.838678 | + | 0.346910i | ||||
\(750\) | −5.97737 | − | 10.3531i | −0.218263 | − | 0.378042i | ||||
\(751\) | 50.9903i | 1.86066i | 0.366719 | + | 0.930332i | \(0.380481\pi\) | ||||
−0.366719 | + | 0.930332i | \(0.619519\pi\) | |||||||
\(752\) | 3.54101 | − | 13.2152i | 0.129128 | − | 0.481910i | ||||
\(753\) | 15.9786 | + | 9.22525i | 0.582293 | + | 0.336187i | ||||
\(754\) | 5.41443 | − | 2.96828i | 0.197182 | − | 0.108098i | ||||
\(755\) | 28.5596i | 1.03939i | ||||||||
\(756\) | 2.44485 | + | 1.01129i | 0.0889184 | + | 0.0367801i | ||||
\(757\) | 21.6738 | − | 37.5401i | 0.787748 | − | 1.36442i | −0.139595 | − | 0.990209i | \(-0.544580\pi\) |
0.927343 | − | 0.374211i | \(-0.122087\pi\) | |||||||
\(758\) | 15.2447 | + | 8.80156i | 0.553714 | + | 0.319687i | ||||
\(759\) | 0.0815405 | + | 0.304313i | 0.00295973 | + | 0.0110459i | ||||
\(760\) | 0.757908 | + | 0.757908i | 0.0274922 | + | 0.0274922i | ||||
\(761\) | −7.31737 | + | 1.96068i | −0.265254 | + | 0.0710747i | −0.388995 | − | 0.921240i | \(-0.627178\pi\) |
0.123741 | + | 0.992315i | \(0.460511\pi\) | |||||||
\(762\) | 3.22086 | + | 3.22086i | 0.116679 | + | 0.116679i | ||||
\(763\) | −16.0028 | − | 2.09882i | −0.579340 | − | 0.0759823i | ||||
\(764\) | 3.55789 | + | 2.05415i | 0.128720 | + | 0.0743164i | ||||
\(765\) | 4.92825 | − | 4.92825i | 0.178181 | − | 0.178181i | ||||
\(766\) | −3.17641 | + | 5.50170i | −0.114768 | + | 0.198785i | ||||
\(767\) | 4.76506 | + | 2.89353i | 0.172056 | + | 0.104479i | ||||
\(768\) | 0.866025 | − | 0.500000i | 0.0312500 | − | 0.0180422i | ||||
\(769\) | 5.01814 | + | 18.7279i | 0.180959 | + | 0.675347i | 0.995460 | + | 0.0951848i | \(0.0303442\pi\) |
−0.814501 | + | 0.580162i | \(0.802989\pi\) | |||||||
\(770\) | 0.460753 | − | 3.51309i | 0.0166044 | − | 0.126603i | ||||
\(771\) | −19.3261 | + | 11.1579i | −0.696013 | + | 0.401843i | ||||
\(772\) | −5.48199 | + | 20.4591i | −0.197301 | + | 0.736338i | ||||
\(773\) | 27.8227 | − | 27.8227i | 1.00071 | − | 1.00071i | 0.000712815 | − | 1.00000i | \(-0.499773\pi\) |
1.00000 | 0.000712815i | \(-0.000226896\pi\) | ||||||||
\(774\) | 3.75965 | − | 3.75965i | 0.135138 | − | 0.135138i | ||||
\(775\) | −2.57159 | + | 9.59729i | −0.0923741 | + | 0.344745i | ||||
\(776\) | 14.0351 | − | 8.10319i | 0.503832 | − | 0.290888i | ||||
\(777\) | 0.605001 | − | 0.789255i | 0.0217043 | − | 0.0283143i | ||||
\(778\) | −9.13524 | − | 34.0932i | −0.327514 | − | 1.22230i | ||||
\(779\) | 0.286747 | − | 0.165553i | 0.0102738 | − | 0.00593157i | ||||
\(780\) | −2.81301 | − | 5.13120i | −0.100722 | − | 0.183727i | ||||
\(781\) | −1.74698 | + | 3.02586i | −0.0625119 | + | 0.108274i | ||||
\(782\) | 1.15938 | − | 1.15938i | 0.0414594 | − | 0.0414594i | ||||
\(783\) | 1.48311 | + | 0.856275i | 0.0530021 | + | 0.0306008i | ||||
\(784\) | −4.95460 | − | 4.94489i | −0.176950 | − | 0.176603i | ||||
\(785\) | −18.0482 | − | 18.0482i | −0.644167 | − | 0.644167i | ||||
\(786\) | −8.71412 | + | 2.33494i | −0.310823 | + | 0.0832846i | ||||
\(787\) | −20.4080 | − | 20.4080i | −0.727465 | − | 0.727465i | 0.242649 | − | 0.970114i | \(-0.421984\pi\) |
−0.970114 | + | 0.242649i | \(0.921984\pi\) | |||||||
\(788\) | 3.98613 | + | 14.8764i | 0.142000 | + | 0.529952i | ||||
\(789\) | 14.2126 | + | 8.20565i | 0.505982 | + | 0.292129i | ||||
\(790\) | 6.07622 | − | 10.5243i | 0.216182 | − | 0.374438i | ||||
\(791\) | 4.44116 | + | 33.6065i | 0.157909 | + | 1.19491i | ||||
\(792\) | − | 0.825152i | − | 0.0293205i | ||||||
\(793\) | 42.3854 | + | 12.3684i | 1.50515 | + | 0.439216i | ||||
\(794\) | 6.36459 | + | 3.67460i | 0.225871 | + | 0.130407i | ||||
\(795\) | 1.92426 | − | 7.18144i | 0.0682465 | − | 0.254700i | ||||
\(796\) | − | 11.2862i | − | 0.400028i | ||||||
\(797\) | 27.6580 | + | 47.9051i | 0.979697 | + | 1.69688i | 0.663474 | + | 0.748199i | \(0.269081\pi\) |
0.316223 | + | 0.948685i | \(0.397585\pi\) | |||||||
\(798\) | 0.667876 | − | 1.61464i | 0.0236425 | − | 0.0571575i | ||||
\(799\) | −15.2064 | + | 56.7510i | −0.537963 | + | 2.00771i | ||||
\(800\) | 0.612360 | + | 2.28536i | 0.0216502 | + | 0.0807997i | ||||
\(801\) | 10.2120 | − | 2.73630i | 0.360824 | − | 0.0966824i | ||||
\(802\) | −29.5498 | −1.04344 | ||||||||
\(803\) | 9.47744 | 0.334452 | ||||||||
\(804\) | 7.24748 | − | 1.94196i | 0.255599 | − | 0.0684875i | ||||
\(805\) | 0.997404 | − | 1.30116i | 0.0351539 | − | 0.0458600i | ||||
\(806\) | −4.24150 | + | 14.5352i | −0.149400 | + | 0.511980i | ||||
\(807\) | 8.41099 | + | 14.5683i | 0.296081 | + | 0.512827i | ||||
\(808\) | 11.1616 | + | 2.99074i | 0.392663 | + | 0.105214i | ||||
\(809\) | 9.97055 | + | 17.2695i | 0.350546 | + | 0.607163i | 0.986345 | − | 0.164691i | \(-0.0526628\pi\) |
−0.635799 | + | 0.771854i | \(0.719329\pi\) | |||||||
\(810\) | 0.811483 | − | 1.40553i | 0.0285126 | − | 0.0493853i | ||||
\(811\) | −19.0450 | + | 19.0450i | −0.668759 | + | 0.668759i | −0.957429 | − | 0.288670i | \(-0.906787\pi\) |
0.288670 | + | 0.957429i | \(0.406787\pi\) | |||||||
\(812\) | −2.76005 | − | 3.59332i | −0.0968588 | − | 0.126101i | ||||
\(813\) | 4.11266 | + | 1.10198i | 0.144237 | + | 0.0386483i | ||||
\(814\) | −0.299582 | − | 0.0802727i | −0.0105003 | − | 0.00281356i | ||||
\(815\) | 6.02942i | 0.211201i | ||||||||
\(816\) | −3.71902 | + | 2.14718i | −0.130192 | + | 0.0751663i | ||||
\(817\) | −2.48296 | − | 2.48296i | −0.0868677 | − | 0.0868677i | ||||
\(818\) | −8.68985 | −0.303834 | ||||||||
\(819\) | −5.96958 | + | 7.44071i | −0.208594 | + | 0.259999i | ||||
\(820\) | −0.813685 | −0.0284151 | ||||||||
\(821\) | 17.2092 | + | 17.2092i | 0.600607 | + | 0.600607i | 0.940474 | − | 0.339867i | \(-0.110382\pi\) |
−0.339867 | + | 0.940474i | \(0.610382\pi\) | |||||||
\(822\) | −1.41879 | + | 0.819140i | −0.0494861 | + | 0.0285708i | ||||
\(823\) | − | 30.6407i | − | 1.06807i | −0.845463 | − | 0.534034i | \(-0.820675\pi\) | ||
0.845463 | − | 0.534034i | \(-0.179325\pi\) | |||||||
\(824\) | 8.29837 | + | 2.22354i | 0.289087 | + | 0.0774608i | ||||
\(825\) | 1.88577 | + | 0.505290i | 0.0656540 | + | 0.0175919i | ||||
\(826\) | 1.56362 | − | 3.78016i | 0.0544053 | − | 0.131528i | ||||
\(827\) | 20.5897 | − | 20.5897i | 0.715975 | − | 0.715975i | −0.251803 | − | 0.967778i | \(-0.581024\pi\) |
0.967778 | + | 0.251803i | \(0.0810235\pi\) | |||||||
\(828\) | 0.190903 | − | 0.330654i | 0.00663435 | − | 0.0114910i | ||||
\(829\) | 23.3116 | + | 40.3769i | 0.809645 | + | 1.40235i | 0.913110 | + | 0.407714i | \(0.133674\pi\) |
−0.103465 | + | 0.994633i | \(0.532993\pi\) | |||||||
\(830\) | 11.4678 | + | 3.07280i | 0.398055 | + | 0.106658i | ||||
\(831\) | 11.2786 | + | 19.5350i | 0.391249 | + | 0.677663i | ||||
\(832\) | 0.855906 | + | 3.50249i | 0.0296732 | + | 0.121427i | ||||
\(833\) | 21.2768 | + | 21.2351i | 0.737199 | + | 0.735753i | ||||
\(834\) | 9.23434 | − | 2.47433i | 0.319759 | − | 0.0856791i | ||||
\(835\) | 21.8685 | 0.756792 | ||||||||
\(836\) | −0.544949 | −0.0188474 | ||||||||
\(837\) | −4.05637 | + | 1.08690i | −0.140209 | + | 0.0375688i | ||||
\(838\) | 1.83684 | + | 6.85517i | 0.0634525 | + | 0.236808i | ||||
\(839\) | −10.3499 | + | 38.6264i | −0.357319 | + | 1.33353i | 0.520222 | + | 0.854031i | \(0.325849\pi\) |
−0.877541 | + | 0.479502i | \(0.840817\pi\) | |||||||
\(840\) | −3.40535 | + | 2.61567i | −0.117496 | + | 0.0902493i | ||||
\(841\) | 13.0336 | + | 22.5748i | 0.449434 | + | 0.778442i | ||||
\(842\) | 28.1594i | 0.970435i | ||||||||
\(843\) | 2.70473 | − | 10.0942i | 0.0931560 | − | 0.347663i | ||||
\(844\) | 10.7532 | + | 6.20836i | 0.370140 | + | 0.213700i | ||||
\(845\) | 20.6013 | − | 4.55383i | 0.708705 | − | 0.156656i | ||||
\(846\) | 13.6814i | 0.470377i | ||||||||
\(847\) | −16.6309 | − | 21.6518i | −0.571446 | − | 0.743966i | ||||
\(848\) | −2.29049 | + | 3.96724i | −0.0786557 | + | 0.136236i | ||||
\(849\) | 15.1723 | + | 8.75973i | 0.520712 | + | 0.300633i | ||||
\(850\) | −2.62969 | − | 9.81415i | −0.0901978 | − | 0.336623i | ||||
\(851\) | −0.101477 | − | 0.101477i | −0.00347858 | − | 0.00347858i | ||||
\(852\) | 4.09004 | − | 1.09592i | 0.140123 | − | 0.0375457i | ||||
\(853\) | −7.00618 | − | 7.00618i | −0.239887 | − | 0.239887i | 0.576916 | − | 0.816803i | \(-0.304256\pi\) |
−0.816803 | + | 0.576916i | \(0.804256\pi\) | |||||||
\(854\) | 4.21323 | − | 32.1245i | 0.144174 | − | 1.09928i | ||||
\(855\) | −0.928244 | − | 0.535922i | −0.0317453 | − | 0.0183281i | ||||
\(856\) | −6.63848 | + | 6.63848i | −0.226899 | + | 0.226899i | ||||
\(857\) | 9.17115 | − | 15.8849i | 0.313280 | − | 0.542618i | −0.665790 | − | 0.746139i | \(-0.731905\pi\) |
0.979070 | + | 0.203521i | \(0.0652387\pi\) | |||||||
\(858\) | 2.85601 | + | 0.833410i | 0.0975027 | + | 0.0284521i | ||||
\(859\) | −16.5211 | + | 9.53844i | −0.563691 | + | 0.325447i | −0.754626 | − | 0.656155i | \(-0.772182\pi\) |
0.190934 | + | 0.981603i | \(0.438848\pi\) | |||||||
\(860\) | 2.23341 | + | 8.33519i | 0.0761586 | + | 0.284228i | ||||
\(861\) | 0.508217 | + | 1.22524i | 0.0173200 | + | 0.0417562i | ||||
\(862\) | 30.5124 | − | 17.6163i | 1.03926 | − | 0.600015i | ||||
\(863\) | −8.15636 | + | 30.4400i | −0.277646 | + | 1.03619i | 0.676402 | + | 0.736533i | \(0.263538\pi\) |
−0.954047 | + | 0.299656i | \(0.903128\pi\) | |||||||
\(864\) | −0.707107 | + | 0.707107i | −0.0240563 | + | 0.0240563i | ||||
\(865\) | −26.4883 | + | 26.4883i | −0.900630 | + | 0.900630i | ||||
\(866\) | 5.42325 | − | 20.2398i | 0.184290 | − | 0.687778i | ||||
\(867\) | 1.24839 | − | 0.720758i | 0.0423976 | − | 0.0244782i | ||||
\(868\) | 11.0164 | + | 1.44484i | 0.373921 | + | 0.0490410i | ||||
\(869\) | 1.59913 | + | 5.96803i | 0.0542468 | + | 0.202452i | ||||
\(870\) | −2.40704 | + | 1.38971i | −0.0816064 | + | 0.0471155i | ||||
\(871\) | −0.598519 | + | 27.0463i | −0.0202801 | + | 0.916430i | ||||
\(872\) | 3.05014 | − | 5.28300i | 0.103291 | − | 0.178905i | ||||
\(873\) | −11.4596 | + | 11.4596i | −0.387850 | + | 0.387850i | ||||
\(874\) | −0.218371 | − | 0.126077i | −0.00738652 | − | 0.00426461i | ||||
\(875\) | −12.1183 | − | 29.2157i | −0.409674 | − | 0.987671i | ||||
\(876\) | −8.12161 | − | 8.12161i | −0.274404 | − | 0.274404i | ||||
\(877\) | 30.4828 | − | 8.16784i | 1.02933 | − | 0.275808i | 0.295646 | − | 0.955298i | \(-0.404465\pi\) |
0.733685 | + | 0.679489i | \(0.237799\pi\) | |||||||
\(878\) | 8.15326 | + | 8.15326i | 0.275159 | + | 0.275159i | ||||
\(879\) | −1.28663 | − | 4.80175i | −0.0433968 | − | 0.161959i | ||||
\(880\) | 1.15978 | + | 0.669597i | 0.0390960 | + | 0.0225721i | ||||
\(881\) | 0.445778 | − | 0.772110i | 0.0150186 | − | 0.0260131i | −0.858418 | − | 0.512950i | \(-0.828553\pi\) |
0.873437 | + | 0.486937i | \(0.161886\pi\) | |||||||
\(882\) | 6.06561 | + | 3.49405i | 0.204240 | + | 0.117651i | ||||
\(883\) | 23.7074i | 0.797818i | 0.916990 | + | 0.398909i | \(0.130611\pi\) | ||||
−0.916990 | + | 0.398909i | \(0.869389\pi\) | |||||||
\(884\) | −3.67557 | − | 15.0409i | −0.123623 | − | 0.505882i | ||||
\(885\) | −2.17319 | − | 1.25469i | −0.0730509 | − | 0.0421760i | ||||
\(886\) | 10.4592 | − | 39.0342i | 0.351383 | − | 1.31138i | ||||
\(887\) | 0.392486i | 0.0131784i | 0.999978 | + | 0.00658920i | \(0.00209742\pi\) | ||||
−0.999978 | + | 0.00658920i | \(0.997903\pi\) | |||||||
\(888\) | 0.187935 | + | 0.325513i | 0.00630669 | + | 0.0109235i | ||||
\(889\) | 7.34109 | + | 9.55738i | 0.246212 | + | 0.320544i | ||||
\(890\) | −4.44093 | + | 16.5738i | −0.148860 | + | 0.555554i | ||||
\(891\) | 0.213565 | + | 0.797035i | 0.00715470 | + | 0.0267017i | ||||
\(892\) | −11.4584 | + | 3.07026i | −0.383654 | + | 0.102800i | ||||
\(893\) | 9.03552 | 0.302362 | ||||||||
\(894\) | −3.81637 | −0.127638 | ||||||||
\(895\) | 10.9955 | − | 2.94624i | 0.367540 | − | 0.0984821i | ||||
\(896\) | 2.44386 | − | 1.01368i | 0.0816436 | − | 0.0338648i | ||||
\(897\) | 0.951645 | + | 0.994717i | 0.0317745 | + | 0.0332126i | ||||
\(898\) | 15.9592 | + | 27.6421i | 0.532565 | + | 0.922430i | ||||
\(899\) | 6.94674 | + | 1.86137i | 0.231687 | + | 0.0620803i | ||||
\(900\) | −1.18299 | − | 2.04900i | −0.0394330 | − | 0.0682999i | ||||
\(901\) | 9.83618 | − | 17.0368i | 0.327691 | − | 0.567577i | ||||
\(902\) | 0.292527 | − | 0.292527i | 0.00974007 | − | 0.00974007i | ||||
\(903\) | 11.1561 | − | 8.56912i | 0.371253 | − | 0.285162i | ||||
\(904\) | −12.3759 | − | 3.31612i | −0.411617 | − | 0.110292i | ||||
\(905\) | 7.89417 | + | 2.11524i | 0.262411 | + | 0.0703128i | ||||
\(906\) | 17.5971i | 0.584626i | ||||||||
\(907\) | 9.55936 | − | 5.51910i | 0.317413 | − | 0.183259i | −0.332826 | − | 0.942988i | \(-0.608002\pi\) |
0.650239 | + | 0.759730i | \(0.274669\pi\) | |||||||
\(908\) | 10.3723 | + | 10.3723i | 0.344218 | + | 0.344218i | ||||
\(909\) | −11.5553 | −0.383266 | ||||||||
\(910\) | −5.61393 | − | 14.4284i | −0.186100 | − | 0.478298i | ||||
\(911\) | −59.8158 | −1.98178 | −0.990892 | − | 0.134657i | \(-0.957007\pi\) | ||||
−0.990892 | + | 0.134657i | \(0.957007\pi\) | |||||||
\(912\) | 0.466989 | + | 0.466989i | 0.0154636 | + | 0.0154636i | ||||
\(913\) | −5.22749 | + | 3.01809i | −0.173005 | + | 0.0998842i | ||||
\(914\) | − | 27.9507i | − | 0.924525i | ||||||
\(915\) | −19.1975 | − | 5.14394i | −0.634648 | − | 0.170053i | ||||
\(916\) | −15.5874 | − | 4.17662i | −0.515021 | − | 0.137999i | ||||
\(917\) | −23.6630 | + | 3.12710i | −0.781421 | + | 0.103266i | ||||
\(918\) | 3.03657 | − | 3.03657i | 0.100222 | − | 0.100222i | ||||
\(919\) | −13.2386 | + | 22.9299i | −0.436701 | + | 0.756388i | −0.997433 | − | 0.0716097i | \(-0.977186\pi\) |
0.560732 | + | 0.827997i | \(0.310520\pi\) | |||||||
\(920\) | 0.309830 | + | 0.536641i | 0.0102148 | + | 0.0176925i | ||||
\(921\) | 24.4342 | + | 6.54713i | 0.805135 | + | 0.215735i | ||||
\(922\) | −15.2726 | − | 26.4529i | −0.502976 | − | 0.871181i | ||||
\(923\) | −0.337769 | + | 15.2633i | −0.0111178 | + | 0.502399i | ||||
\(924\) | 0.283896 | − | 2.16461i | 0.00933948 | − | 0.0712104i | ||||
\(925\) | −0.858999 | + | 0.230168i | −0.0282437 | + | 0.00756788i | ||||
\(926\) | −26.4252 | −0.868386 | ||||||||
\(927\) | −8.59111 | −0.282169 | ||||||||
\(928\) | 1.65420 | − | 0.443241i | 0.0543017 | − | 0.0145501i | ||||
\(929\) | 7.01300 | + | 26.1729i | 0.230089 | + | 0.858704i | 0.980301 | + | 0.197507i | \(0.0632846\pi\) |
−0.750212 | + | 0.661197i | \(0.770049\pi\) | |||||||
\(930\) | 1.76401 | − | 6.58336i | 0.0578440 | − | 0.215877i | ||||
\(931\) | 2.30755 | − | 4.00587i | 0.0756268 | − | 0.131287i | ||||
\(932\) | −6.42720 | − | 11.1322i | −0.210530 | − | 0.364648i | ||||
\(933\) | 5.46344i | 0.178865i | ||||||||
\(934\) | 4.58454 | − | 17.1097i | 0.150011 | − | 0.559847i | ||||
\(935\) | −4.98049 | − | 2.87549i | −0.162880 | − | 0.0940386i | ||||
\(936\) | −1.73325 | − | 3.16162i | −0.0566531 | − | 0.103341i | ||||
\(937\) | − | 19.1418i | − | 0.625336i | −0.949862 | − | 0.312668i | \(-0.898777\pi\) | ||
0.949862 | − | 0.312668i | \(-0.101223\pi\) | |||||||
\(938\) | 19.6803 | − | 2.60079i | 0.642586 | − | 0.0849188i | ||||
\(939\) | −12.0448 | + | 20.8623i | −0.393069 | + | 0.680815i | ||||
\(940\) | −19.2297 | − | 11.1023i | −0.627203 | − | 0.362116i | ||||
\(941\) | −11.3247 | − | 42.2645i | −0.369176 | − | 1.37778i | −0.861670 | − | 0.507469i | \(-0.830581\pi\) |
0.492494 | − | 0.870316i | \(-0.336085\pi\) | |||||||
\(942\) | −11.1205 | − | 11.1205i | −0.362325 | − | 0.362325i | ||||
\(943\) | 0.184899 | − | 0.0495434i | 0.00602113 | − | 0.00161336i | ||||
\(944\) | 1.09331 | + | 1.09331i | 0.0355841 | + | 0.0355841i | ||||
\(945\) | 2.61233 | − | 3.40792i | 0.0849791 | − | 0.110859i | ||||
\(946\) | −3.79950 | − | 2.19364i | −0.123532 | − | 0.0713215i | ||||
\(947\) | −41.5008 | + | 41.5008i | −1.34859 | + | 1.34859i | −0.461404 | + | 0.887190i | \(0.652654\pi\) |
−0.887190 | + | 0.461404i | \(0.847346\pi\) | |||||||
\(948\) | 3.74389 | − | 6.48461i | 0.121596 | − | 0.210610i | ||||
\(949\) | 36.3134 | − | 19.9076i | 1.17878 | − | 0.646228i | ||||
\(950\) | −1.35320 | + | 0.781273i | −0.0439037 | + | 0.0253478i | ||||
\(951\) | −0.902659 | − | 3.36877i | −0.0292707 | − | 0.109240i | ||||
\(952\) | −10.4948 | + | 4.35313i | −0.340139 | + | 0.141086i | ||||
\(953\) | 3.29385 | − | 1.90170i | 0.106698 | − | 0.0616022i | −0.445701 | − | 0.895182i | \(-0.647046\pi\) |
0.552399 | + | 0.833580i | \(0.313712\pi\) | |||||||
\(954\) | 1.18564 | − | 4.42489i | 0.0383867 | − | 0.143261i | ||||
\(955\) | 4.71472 | − | 4.71472i | 0.152565 | − | 0.152565i | ||||
\(956\) | −13.5059 | + | 13.5059i | −0.436813 | + | 0.436813i | ||||
\(957\) | 0.365741 | − | 1.36496i | 0.0118227 | − | 0.0441230i | ||||
\(958\) | −30.2747 | + | 17.4791i | −0.978131 | + | 0.564724i | ||||
\(959\) | −4.00372 | + | 1.66070i | −0.129287 | + | 0.0536268i | ||||
\(960\) | −0.420055 | − | 1.56767i | −0.0135572 | − | 0.0505962i | ||||
\(961\) | 11.5740 | − | 6.68224i | 0.373354 | − | 0.215556i | ||||
\(962\) | −1.31648 | + | 0.321710i | −0.0424451 | + | 0.0103723i | ||||
\(963\) | 4.69411 | − | 8.13045i | 0.151266 | − | 0.262000i | ||||
\(964\) | −6.92996 | + | 6.92996i | −0.223199 | + | 0.223199i | ||||
\(965\) | 29.7702 | + | 17.1879i | 0.958338 | + | 0.553297i | ||||
\(966\) | 0.614556 | − | 0.801719i | 0.0197730 | − | 0.0257949i | ||||
\(967\) | −22.5652 | − | 22.5652i | −0.725647 | − | 0.725647i | 0.244102 | − | 0.969749i | \(-0.421507\pi\) |
−0.969749 | + | 0.244102i | \(0.921507\pi\) | |||||||
\(968\) | 9.96751 | − | 2.67079i | 0.320368 | − | 0.0858423i | ||||
\(969\) | −2.00542 | − | 2.00542i | −0.0644233 | − | 0.0644233i | ||||
\(970\) | −6.80757 | − | 25.4062i | −0.218578 | − | 0.815744i | ||||
\(971\) | −40.4365 | − | 23.3460i | −1.29767 | − | 0.749210i | −0.317668 | − | 0.948202i | \(-0.602900\pi\) |
−0.980001 | + | 0.198992i | \(0.936233\pi\) | |||||||
\(972\) | 0.500000 | − | 0.866025i | 0.0160375 | − | 0.0277778i | ||||
\(973\) | 25.0756 | − | 3.31378i | 0.803887 | − | 0.106235i | ||||
\(974\) | 38.7067i | 1.24024i | ||||||||
\(975\) | 8.28681 | − | 2.02505i | 0.265390 | − | 0.0648536i | ||||
\(976\) | 10.6052 | + | 6.12294i | 0.339466 | + | 0.195991i | ||||
\(977\) | 8.19576 | − | 30.5870i | 0.262206 | − | 0.978565i | −0.701733 | − | 0.712440i | \(-0.747590\pi\) |
0.963939 | − | 0.266125i | \(-0.0857434\pi\) | |||||||
\(978\) | 3.71506i | 0.118795i | ||||||||
\(979\) | −4.36186 | − | 7.55496i | −0.139406 | − | 0.241458i | ||||
\(980\) | −9.83313 | + | 5.69004i | −0.314108 | + | 0.181762i | ||||
\(981\) | −1.57887 | + | 5.89242i | −0.0504094 | + | 0.188131i | ||||
\(982\) | −8.92808 | − | 33.3201i | −0.284907 | − | 1.06329i | ||||
\(983\) | 6.25562 | − | 1.67619i | 0.199523 | − | 0.0534621i | −0.157673 | − | 0.987491i | \(-0.550399\pi\) |
0.357197 | + | 0.934029i | \(0.383733\pi\) | |||||||
\(984\) | −0.501356 | −0.0159827 | ||||||||
\(985\) | 24.9957 | 0.796429 | ||||||||
\(986\) | −7.10371 | + | 1.90343i | −0.226228 | + | 0.0606177i | ||||
\(987\) | −4.70713 | + | 35.8903i | −0.149830 | + | 1.14240i | ||||
\(988\) | −2.08800 | + | 1.14468i | −0.0664283 | + | 0.0364171i | ||||
\(989\) | −1.01502 | − | 1.75807i | −0.0322758 | − | 0.0559034i | ||||
\(990\) | −1.29356 | − | 0.346609i | −0.0411121 | − | 0.0110160i | ||||
\(991\) | 1.79039 | + | 3.10104i | 0.0568735 | + | 0.0985079i | 0.893060 | − | 0.449937i | \(-0.148553\pi\) |
−0.836187 | + | 0.548445i | \(0.815220\pi\) | |||||||
\(992\) | −2.09973 | + | 3.63685i | −0.0666666 | + | 0.115470i | ||||
\(993\) | 3.49239 | − | 3.49239i | 0.110828 | − | 0.110828i | ||||
\(994\) | 11.1064 | − | 1.46773i | 0.352274 | − | 0.0465536i | ||||
\(995\) | −17.6930 | − | 4.74081i | −0.560904 | − | 0.150294i | ||||
\(996\) | 7.06598 | + | 1.89332i | 0.223894 | + | 0.0599922i | ||||
\(997\) | − | 8.76573i | − | 0.277614i | −0.990319 | − | 0.138807i | \(-0.955673\pi\) | ||
0.990319 | − | 0.138807i | \(-0.0443267\pi\) | |||||||
\(998\) | 14.8478 | − | 8.57239i | 0.469999 | − | 0.271354i | ||||
\(999\) | −0.265780 | − | 0.265780i | −0.00840892 | − | 0.00840892i |
(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 | 546.2.cg.a.241.7 | yes | 32 | |
7.5 | odd | 6 | 546.2.by.a.397.7 | ✓ | 32 | ||
13.2 | odd | 12 | 546.2.by.a.535.7 | yes | 32 | ||
91.54 | even | 12 | inner | 546.2.cg.a.145.7 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.by.a.397.7 | ✓ | 32 | 7.5 | odd | 6 | ||
546.2.by.a.535.7 | yes | 32 | 13.2 | odd | 12 | ||
546.2.cg.a.145.7 | yes | 32 | 91.54 | even | 12 | inner | |
546.2.cg.a.241.7 | yes | 32 | 1.1 | even | 1 | trivial |