Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [60,2,Mod(7,60)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(60, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("60.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 60 = 2^{2} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 60.j (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.479102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(i)\) |
Coefficient field: | 12.0.426337261060096.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 4x^{9} - 3x^{8} + 4x^{7} + 8x^{6} + 8x^{5} - 12x^{4} - 32x^{3} + 64 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 7.5 | ||
Root | \(-0.760198 - 1.19252i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 60.7 |
Dual form | 60.2.j.a.43.5 |
$q$-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 \(\left(\mathbb{Z}/60\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(41\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.760198 | − | 1.19252i | 0.537541 | − | 0.843238i | ||||
\(3\) | −0.707107 | − | 0.707107i | −0.408248 | − | 0.408248i | ||||
\(4\) | −0.844199 | − | 1.81310i | −0.422099 | − | 0.906550i | ||||
\(5\) | 0.432320 | + | 2.19388i | 0.193340 | + | 0.981132i | ||||
\(6\) | −1.38078 | + | 0.305697i | −0.563700 | + | 0.124800i | ||||
\(7\) | 0.611393 | − | 0.611393i | 0.231085 | − | 0.231085i | −0.582060 | − | 0.813145i | \(-0.697753\pi\) |
0.813145 | + | 0.582060i | \(0.197753\pi\) | |||||||
\(8\) | −2.80391 | − | 0.371591i | −0.991332 | − | 0.131377i | ||||
\(9\) | 1.00000i | 0.333333i | ||||||||
\(10\) | 2.94489 | + | 1.15223i | 0.931255 | + | 0.364367i | ||||
\(11\) | 5.12822i | 1.54622i | 0.634274 | + | 0.773108i | \(0.281299\pi\) | ||||
−0.634274 | + | 0.773108i | \(0.718701\pi\) | |||||||
\(12\) | −0.685116 | + | 1.87899i | −0.197776 | + | 0.542419i | ||||
\(13\) | 1.76156 | − | 1.76156i | 0.488568 | − | 0.488568i | −0.419286 | − | 0.907854i | \(-0.637720\pi\) |
0.907854 | + | 0.419286i | \(0.137720\pi\) | |||||||
\(14\) | −0.264318 | − | 1.19388i | −0.0706419 | − | 0.319077i | ||||
\(15\) | 1.24561 | − | 1.85700i | 0.321615 | − | 0.479476i | ||||
\(16\) | −2.57466 | + | 3.06123i | −0.643664 | + | 0.765308i | ||||
\(17\) | −3.76156 | − | 3.76156i | −0.912312 | − | 0.912312i | 0.0841421 | − | 0.996454i | \(-0.473185\pi\) |
−0.996454 | + | 0.0841421i | \(0.973185\pi\) | |||||||
\(18\) | 1.19252 | + | 0.760198i | 0.281079 | + | 0.179180i | ||||
\(19\) | −1.22279 | −0.280527 | −0.140263 | − | 0.990114i | \(-0.544795\pi\) | ||||
−0.140263 | + | 0.990114i | \(0.544795\pi\) | |||||||
\(20\) | 3.61275 | − | 2.63591i | 0.807836 | − | 0.589407i | ||||
\(21\) | −0.864641 | −0.188680 | ||||||||
\(22\) | 6.11549 | + | 3.89846i | 1.30383 | + | 0.831154i | ||||
\(23\) | −1.07700 | − | 1.07700i | −0.224571 | − | 0.224571i | 0.585849 | − | 0.810420i | \(-0.300761\pi\) |
−0.810420 | + | 0.585849i | \(0.800761\pi\) | |||||||
\(24\) | 1.71991 | + | 2.24542i | 0.351075 | + | 0.458344i | ||||
\(25\) | −4.62620 | + | 1.89692i | −0.925240 | + | 0.379383i | ||||
\(26\) | −0.761557 | − | 3.43982i | −0.149354 | − | 0.674604i | ||||
\(27\) | 0.707107 | − | 0.707107i | 0.136083 | − | 0.136083i | ||||
\(28\) | −1.62465 | − | 0.592379i | −0.307031 | − | 0.111949i | ||||
\(29\) | − | 0.864641i | − | 0.160560i | −0.996772 | − | 0.0802799i | \(-0.974419\pi\) | ||
0.996772 | − | 0.0802799i | \(-0.0255814\pi\) | |||||||
\(30\) | −1.26760 | − | 2.89710i | −0.231431 | − | 0.528936i | ||||
\(31\) | − | 7.81086i | − | 1.40287i | −0.712732 | − | 0.701436i | \(-0.752543\pi\) | ||
0.712732 | − | 0.701436i | \(-0.247457\pi\) | |||||||
\(32\) | 1.69333 | + | 5.39747i | 0.299341 | + | 0.954146i | ||||
\(33\) | 3.62620 | − | 3.62620i | 0.631240 | − | 0.631240i | ||||
\(34\) | −7.34525 | + | 1.62620i | −1.25970 | + | 0.278891i | ||||
\(35\) | 1.60564 | + | 1.07700i | 0.271403 | + | 0.182047i | ||||
\(36\) | 1.81310 | − | 0.844199i | 0.302183 | − | 0.140700i | ||||
\(37\) | −1.76156 | − | 1.76156i | −0.289598 | − | 0.289598i | 0.547323 | − | 0.836921i | \(-0.315647\pi\) |
−0.836921 | + | 0.547323i | \(0.815647\pi\) | |||||||
\(38\) | −0.929560 | + | 1.45820i | −0.150795 | + | 0.236551i | ||||
\(39\) | −2.49122 | −0.398914 | ||||||||
\(40\) | −0.396963 | − | 6.31209i | −0.0627653 | − | 0.998028i | ||||
\(41\) | 5.52311 | 0.862566 | 0.431283 | − | 0.902217i | \(-0.358061\pi\) | ||||
0.431283 | + | 0.902217i | \(0.358061\pi\) | |||||||
\(42\) | −0.657298 | + | 1.03110i | −0.101423 | + | 0.159102i | ||||
\(43\) | 6.20522 | + | 6.20522i | 0.946288 | + | 0.946288i | 0.998629 | − | 0.0523416i | \(-0.0166685\pi\) |
−0.0523416 | + | 0.998629i | \(0.516668\pi\) | |||||||
\(44\) | 9.29797 | − | 4.32924i | 1.40172 | − | 0.652657i | ||||
\(45\) | −2.19388 | + | 0.432320i | −0.327044 | + | 0.0644465i | ||||
\(46\) | −2.10308 | + | 0.465611i | −0.310083 | + | 0.0686506i | ||||
\(47\) | 2.29979 | − | 2.29979i | 0.335459 | − | 0.335459i | −0.519196 | − | 0.854655i | \(-0.673769\pi\) |
0.854655 | + | 0.519196i | \(0.173769\pi\) | |||||||
\(48\) | 3.98518 | − | 0.344061i | 0.575210 | − | 0.0496610i | ||||
\(49\) | 6.25240i | 0.893199i | ||||||||
\(50\) | −1.25472 | + | 6.95886i | −0.177444 | + | 0.984131i | ||||
\(51\) | 5.31965i | 0.744899i | ||||||||
\(52\) | −4.68098 | − | 1.70677i | −0.649135 | − | 0.236687i | ||||
\(53\) | −2.62620 | + | 2.62620i | −0.360736 | + | 0.360736i | −0.864084 | − | 0.503348i | \(-0.832101\pi\) |
0.503348 | + | 0.864084i | \(0.332101\pi\) | |||||||
\(54\) | −0.305697 | − | 1.38078i | −0.0416001 | − | 0.187900i | ||||
\(55\) | −11.2507 | + | 2.21703i | −1.51704 | + | 0.298945i | ||||
\(56\) | −1.94148 | + | 1.48710i | −0.259441 | + | 0.198723i | ||||
\(57\) | 0.864641 | + | 0.864641i | 0.114524 | + | 0.114524i | ||||
\(58\) | −1.03110 | − | 0.657298i | −0.135390 | − | 0.0863075i | ||||
\(59\) | −0.528636 | −0.0688225 | −0.0344113 | − | 0.999408i | \(-0.510956\pi\) | ||||
−0.0344113 | + | 0.999408i | \(0.510956\pi\) | |||||||
\(60\) | −4.41847 | − | 0.690733i | −0.570422 | − | 0.0891732i | ||||
\(61\) | 4.98168 | 0.637838 | 0.318919 | − | 0.947782i | \(-0.396680\pi\) | ||||
0.318919 | + | 0.947782i | \(0.396680\pi\) | |||||||
\(62\) | −9.31460 | − | 5.93780i | −1.18295 | − | 0.754101i | ||||
\(63\) | 0.611393 | + | 0.611393i | 0.0770283 | + | 0.0770283i | ||||
\(64\) | 7.72384 | + | 2.08382i | 0.965480 | + | 0.260477i | ||||
\(65\) | 4.62620 | + | 3.10308i | 0.573809 | + | 0.384890i | ||||
\(66\) | −1.56768 | − | 7.08093i | −0.192968 | − | 0.871603i | ||||
\(67\) | −6.20522 | + | 6.20522i | −0.758089 | + | 0.758089i | −0.975974 | − | 0.217886i | \(-0.930084\pi\) |
0.217886 | + | 0.975974i | \(0.430084\pi\) | |||||||
\(68\) | −3.64457 | + | 9.99558i | −0.441969 | + | 1.21214i | ||||
\(69\) | 1.52311i | 0.183361i | ||||||||
\(70\) | 2.50495 | − | 1.09602i | 0.299399 | − | 0.130999i | ||||
\(71\) | − | 8.10243i | − | 0.961581i | −0.876835 | − | 0.480791i | \(-0.840350\pi\) | ||
0.876835 | − | 0.480791i | \(-0.159650\pi\) | |||||||
\(72\) | 0.371591 | − | 2.80391i | 0.0437924 | − | 0.330444i | ||||
\(73\) | −2.25240 | + | 2.25240i | −0.263623 | + | 0.263623i | −0.826524 | − | 0.562901i | \(-0.809685\pi\) |
0.562901 | + | 0.826524i | \(0.309685\pi\) | |||||||
\(74\) | −3.43982 | + | 0.761557i | −0.399871 | + | 0.0885292i | ||||
\(75\) | 4.61254 | + | 1.92989i | 0.532610 | + | 0.222845i | ||||
\(76\) | 1.03228 | + | 2.21703i | 0.118410 | + | 0.254311i | ||||
\(77\) | 3.13536 | + | 3.13536i | 0.357307 | + | 0.357307i | ||||
\(78\) | −1.89382 | + | 2.97082i | −0.214433 | + | 0.336379i | ||||
\(79\) | 15.9133 | 1.79039 | 0.895193 | − | 0.445680i | \(-0.147038\pi\) | ||||
0.895193 | + | 0.445680i | \(0.147038\pi\) | |||||||
\(80\) | −7.82905 | − | 4.32505i | −0.875314 | − | 0.483555i | ||||
\(81\) | −1.00000 | −0.111111 | ||||||||
\(82\) | 4.19866 | − | 6.58641i | 0.463664 | − | 0.727348i | ||||
\(83\) | −7.95665 | − | 7.95665i | −0.873355 | − | 0.873355i | 0.119481 | − | 0.992836i | \(-0.461877\pi\) |
−0.992836 | + | 0.119481i | \(0.961877\pi\) | |||||||
\(84\) | 0.729929 | + | 1.56768i | 0.0796418 | + | 0.171048i | ||||
\(85\) | 6.62620 | − | 9.87859i | 0.718712 | − | 1.07148i | ||||
\(86\) | 12.1170 | − | 2.68264i | 1.30661 | − | 0.289277i | ||||
\(87\) | −0.611393 | + | 0.611393i | −0.0655483 | + | 0.0655483i | ||||
\(88\) | 1.90560 | − | 14.3791i | 0.203138 | − | 1.53281i | ||||
\(89\) | − | 7.25240i | − | 0.768752i | −0.923177 | − | 0.384376i | \(-0.874417\pi\) | ||
0.923177 | − | 0.384376i | \(-0.125583\pi\) | |||||||
\(90\) | −1.15223 | + | 2.94489i | −0.121456 | + | 0.310418i | ||||
\(91\) | − | 2.15401i | − | 0.225801i | ||||||
\(92\) | −1.04351 | + | 2.86192i | −0.108793 | + | 0.298376i | ||||
\(93\) | −5.52311 | + | 5.52311i | −0.572720 | + | 0.572720i | ||||
\(94\) | −0.994247 | − | 4.49084i | −0.102549 | − | 0.463195i | ||||
\(95\) | −0.528636 | − | 2.68264i | −0.0542369 | − | 0.275234i | ||||
\(96\) | 2.61922 | − | 5.01395i | 0.267323 | − | 0.511734i | ||||
\(97\) | 0.793833 | + | 0.793833i | 0.0806015 | + | 0.0806015i | 0.746258 | − | 0.665657i | \(-0.231848\pi\) |
−0.665657 | + | 0.746258i | \(0.731848\pi\) | |||||||
\(98\) | 7.45610 | + | 4.75306i | 0.753179 | + | 0.480131i | ||||
\(99\) | −5.12822 | −0.515405 | ||||||||
\(100\) | 7.34473 | + | 6.78638i | 0.734473 | + | 0.678638i | ||||
\(101\) | −10.1170 | −1.00668 | −0.503341 | − | 0.864088i | \(-0.667896\pi\) | ||||
−0.503341 | + | 0.864088i | \(0.667896\pi\) | |||||||
\(102\) | 6.34377 | + | 4.04398i | 0.628127 | + | 0.400414i | ||||
\(103\) | 3.82267 | + | 3.82267i | 0.376659 | + | 0.376659i | 0.869895 | − | 0.493236i | \(-0.164186\pi\) |
−0.493236 | + | 0.869895i | \(0.664186\pi\) | |||||||
\(104\) | −5.59383 | + | 4.28467i | −0.548520 | + | 0.420147i | ||||
\(105\) | −0.373802 | − | 1.89692i | −0.0364793 | − | 0.185120i | ||||
\(106\) | 1.13536 | + | 5.12822i | 0.110276 | + | 0.498097i | ||||
\(107\) | 5.51107 | − | 5.51107i | 0.532775 | − | 0.532775i | −0.388622 | − | 0.921397i | \(-0.627049\pi\) |
0.921397 | + | 0.388622i | \(0.127049\pi\) | |||||||
\(108\) | −1.87899 | − | 0.685116i | −0.180806 | − | 0.0659253i | ||||
\(109\) | − | 7.31695i | − | 0.700836i | −0.936593 | − | 0.350418i | \(-0.886039\pi\) | ||
0.936593 | − | 0.350418i | \(-0.113961\pi\) | |||||||
\(110\) | −5.90889 | + | 15.1020i | −0.563391 | + | 1.43992i | ||||
\(111\) | 2.49122i | 0.236456i | ||||||||
\(112\) | 0.297490 | + | 3.44575i | 0.0281101 | + | 0.325592i | ||||
\(113\) | −0.509161 | + | 0.509161i | −0.0478978 | + | 0.0478978i | −0.730650 | − | 0.682752i | \(-0.760783\pi\) |
0.682752 | + | 0.730650i | \(0.260783\pi\) | |||||||
\(114\) | 1.68840 | − | 0.373802i | 0.158133 | − | 0.0350098i | ||||
\(115\) | 1.89721 | − | 2.82843i | 0.176915 | − | 0.263752i | ||||
\(116\) | −1.56768 | + | 0.729929i | −0.145555 | + | 0.0677722i | ||||
\(117\) | 1.76156 | + | 1.76156i | 0.162856 | + | 0.162856i | ||||
\(118\) | −0.401868 | + | 0.630408i | −0.0369949 | + | 0.0580337i | ||||
\(119\) | −4.59958 | −0.421643 | ||||||||
\(120\) | −4.18262 | + | 4.74401i | −0.381820 | + | 0.433067i | ||||
\(121\) | −15.2986 | −1.39078 | ||||||||
\(122\) | 3.78706 | − | 5.94074i | 0.342864 | − | 0.537849i | ||||
\(123\) | −3.90543 | − | 3.90543i | −0.352141 | − | 0.352141i | ||||
\(124\) | −14.1619 | + | 6.59392i | −1.27177 | + | 0.592152i | ||||
\(125\) | −6.16160 | − | 9.32924i | −0.551110 | − | 0.834432i | ||||
\(126\) | 1.19388 | − | 0.264318i | 0.106359 | − | 0.0235473i | ||||
\(127\) | −7.49103 | + | 7.49103i | −0.664722 | + | 0.664722i | −0.956489 | − | 0.291767i | \(-0.905757\pi\) |
0.291767 | + | 0.956489i | \(0.405757\pi\) | |||||||
\(128\) | 8.35664 | − | 7.62671i | 0.738629 | − | 0.674112i | ||||
\(129\) | − | 8.77551i | − | 0.772641i | ||||||
\(130\) | 7.21731 | − | 3.15787i | 0.633000 | − | 0.276963i | ||||
\(131\) | 13.9964i | 1.22287i | 0.791296 | + | 0.611434i | \(0.209407\pi\) | ||||
−0.791296 | + | 0.611434i | \(0.790593\pi\) | |||||||
\(132\) | −9.63589 | − | 3.51342i | −0.838696 | − | 0.305804i | ||||
\(133\) | −0.747604 | + | 0.747604i | −0.0648255 | + | 0.0648255i | ||||
\(134\) | 2.68264 | + | 12.1170i | 0.231745 | + | 1.04675i | ||||
\(135\) | 1.85700 | + | 1.24561i | 0.159825 | + | 0.107205i | ||||
\(136\) | 9.14931 | + | 11.9448i | 0.784547 | + | 1.02426i | ||||
\(137\) | 7.01395 | + | 7.01395i | 0.599242 | + | 0.599242i | 0.940111 | − | 0.340869i | \(-0.110721\pi\) |
−0.340869 | + | 0.940111i | \(0.610721\pi\) | |||||||
\(138\) | 1.81634 | + | 1.15787i | 0.154617 | + | 0.0985643i | ||||
\(139\) | −2.28006 | −0.193392 | −0.0966960 | − | 0.995314i | \(-0.530827\pi\) | ||||
−0.0966960 | + | 0.995314i | \(0.530827\pi\) | |||||||
\(140\) | 0.597236 | − | 3.82039i | 0.0504757 | − | 0.322882i | ||||
\(141\) | −3.25240 | −0.273901 | ||||||||
\(142\) | −9.66229 | − | 6.15945i | −0.810842 | − | 0.516889i | ||||
\(143\) | 9.03365 | + | 9.03365i | 0.755432 | + | 0.755432i | ||||
\(144\) | −3.06123 | − | 2.57466i | −0.255103 | − | 0.214555i | ||||
\(145\) | 1.89692 | − | 0.373802i | 0.157530 | − | 0.0310426i | ||||
\(146\) | 0.973757 | + | 4.39829i | 0.0805887 | + | 0.364005i | ||||
\(147\) | 4.42111 | − | 4.42111i | 0.364647 | − | 0.364647i | ||||
\(148\) | −1.70677 | + | 4.68098i | −0.140296 | + | 0.384774i | ||||
\(149\) | 10.1170i | 0.828820i | 0.910090 | + | 0.414410i | \(0.136012\pi\) | ||||
−0.910090 | + | 0.414410i | \(0.863988\pi\) | |||||||
\(150\) | 5.80787 | − | 4.03343i | 0.474211 | − | 0.329329i | ||||
\(151\) | − | 7.93691i | − | 0.645897i | −0.946417 | − | 0.322948i | \(-0.895326\pi\) | ||
0.946417 | − | 0.322948i | \(-0.104674\pi\) | |||||||
\(152\) | 3.42859 | + | 0.454377i | 0.278095 | + | 0.0368548i | ||||
\(153\) | 3.76156 | − | 3.76156i | 0.304104 | − | 0.304104i | ||||
\(154\) | 6.12247 | − | 1.35548i | 0.493362 | − | 0.109228i | ||||
\(155\) | 17.1361 | − | 3.37680i | 1.37640 | − | 0.271231i | ||||
\(156\) | 2.10308 | + | 4.51683i | 0.168381 | + | 0.361635i | ||||
\(157\) | 9.01395 | + | 9.01395i | 0.719392 | + | 0.719392i | 0.968481 | − | 0.249089i | \(-0.0801311\pi\) |
−0.249089 | + | 0.968481i | \(0.580131\pi\) | |||||||
\(158\) | 12.0972 | − | 18.9769i | 0.962405 | − | 1.50972i | ||||
\(159\) | 3.71400 | 0.294540 | ||||||||
\(160\) | −11.1093 | + | 6.04839i | −0.878269 | + | 0.478167i | ||||
\(161\) | −1.31695 | −0.103790 | ||||||||
\(162\) | −0.760198 | + | 1.19252i | −0.0597268 | + | 0.0936931i | ||||
\(163\) | −13.0849 | − | 13.0849i | −1.02489 | − | 1.02489i | −0.999682 | − | 0.0252033i | \(-0.991977\pi\) |
−0.0252033 | − | 0.999682i | \(-0.508023\pi\) | |||||||
\(164\) | −4.66261 | − | 10.0140i | −0.364088 | − | 0.781958i | ||||
\(165\) | 9.52311 | + | 6.38776i | 0.741373 | + | 0.497286i | ||||
\(166\) | −15.5371 | + | 3.43982i | −1.20591 | + | 0.266982i | ||||
\(167\) | −11.3334 | + | 11.3334i | −0.877008 | + | 0.877008i | −0.993224 | − | 0.116216i | \(-0.962924\pi\) |
0.116216 | + | 0.993224i | \(0.462924\pi\) | |||||||
\(168\) | 2.42438 | + | 0.321293i | 0.187045 | + | 0.0247883i | ||||
\(169\) | 6.79383i | 0.522603i | ||||||||
\(170\) | −6.74318 | − | 15.4115i | −0.517178 | − | 1.18201i | ||||
\(171\) | − | 1.22279i | − | 0.0935088i | ||||||
\(172\) | 6.01224 | − | 16.4891i | 0.458429 | − | 1.25728i | ||||
\(173\) | 7.96772 | − | 7.96772i | 0.605775 | − | 0.605775i | −0.336064 | − | 0.941839i | \(-0.609096\pi\) |
0.941839 | + | 0.336064i | \(0.109096\pi\) | |||||||
\(174\) | 0.264318 | + | 1.19388i | 0.0200379 | + | 0.0905076i | ||||
\(175\) | −1.66866 | + | 3.98819i | −0.126139 | + | 0.301479i | ||||
\(176\) | −15.6987 | − | 13.2034i | −1.18333 | − | 0.995244i | ||||
\(177\) | 0.373802 | + | 0.373802i | 0.0280967 | + | 0.0280967i | ||||
\(178\) | −8.64861 | − | 5.51325i | −0.648241 | − | 0.413236i | ||||
\(179\) | −12.6475 | −0.945320 | −0.472660 | − | 0.881245i | \(-0.656706\pi\) | ||||
−0.472660 | + | 0.881245i | \(0.656706\pi\) | |||||||
\(180\) | 2.63591 | + | 3.61275i | 0.196469 | + | 0.269279i | ||||
\(181\) | 7.72928 | 0.574513 | 0.287256 | − | 0.957854i | \(-0.407257\pi\) | ||||
0.287256 | + | 0.957854i | \(0.407257\pi\) | |||||||
\(182\) | −2.56869 | − | 1.63747i | −0.190404 | − | 0.121378i | ||||
\(183\) | −3.52258 | − | 3.52258i | −0.260396 | − | 0.260396i | ||||
\(184\) | 2.61962 | + | 3.42003i | 0.193121 | + | 0.252128i | ||||
\(185\) | 3.10308 | − | 4.62620i | 0.228143 | − | 0.340125i | ||||
\(186\) | 2.38776 | + | 10.7851i | 0.175079 | + | 0.790800i | ||||
\(187\) | 19.2901 | − | 19.2901i | 1.41063 | − | 1.41063i | ||||
\(188\) | −6.11123 | − | 2.22827i | −0.445707 | − | 0.162513i | ||||
\(189\) | − | 0.864641i | − | 0.0628934i | ||||||
\(190\) | −3.60097 | − | 1.40893i | −0.261242 | − | 0.102215i | ||||
\(191\) | 7.04516i | 0.509770i | 0.966971 | + | 0.254885i | \(0.0820376\pi\) | ||||
−0.966971 | + | 0.254885i | \(0.917962\pi\) | |||||||
\(192\) | −3.98810 | − | 6.93506i | −0.287816 | − | 0.500495i | ||||
\(193\) | −11.5048 | + | 11.5048i | −0.828133 | + | 0.828133i | −0.987258 | − | 0.159125i | \(-0.949133\pi\) |
0.159125 | + | 0.987258i | \(0.449133\pi\) | |||||||
\(194\) | 1.55013 | − | 0.343190i | 0.111293 | − | 0.0246396i | ||||
\(195\) | −1.07700 | − | 5.46543i | −0.0771259 | − | 0.391387i | ||||
\(196\) | 11.3362 | − | 5.27827i | 0.809730 | − | 0.377019i | ||||
\(197\) | 7.87859 | + | 7.87859i | 0.561327 | + | 0.561327i | 0.929684 | − | 0.368358i | \(-0.120080\pi\) |
−0.368358 | + | 0.929684i | \(0.620080\pi\) | |||||||
\(198\) | −3.89846 | + | 6.11549i | −0.277051 | + | 0.434609i | ||||
\(199\) | −11.4792 | −0.813741 | −0.406870 | − | 0.913486i | \(-0.633380\pi\) | ||||
−0.406870 | + | 0.913486i | \(0.633380\pi\) | |||||||
\(200\) | 13.6763 | − | 3.59973i | 0.967062 | − | 0.254539i | ||||
\(201\) | 8.77551 | 0.618977 | ||||||||
\(202\) | −7.69095 | + | 12.0648i | −0.541133 | + | 0.848873i | ||||
\(203\) | −0.528636 | − | 0.528636i | −0.0371030 | − | 0.0371030i | ||||
\(204\) | 9.64504 | − | 4.49084i | 0.675288 | − | 0.314422i | ||||
\(205\) | 2.38776 | + | 12.1170i | 0.166768 | + | 0.846291i | ||||
\(206\) | 7.46460 | − | 1.65262i | 0.520083 | − | 0.115143i | ||||
\(207\) | 1.07700 | − | 1.07700i | 0.0748570 | − | 0.0748570i | ||||
\(208\) | 0.857132 | + | 9.92794i | 0.0594314 | + | 0.688379i | ||||
\(209\) | − | 6.27072i | − | 0.433755i | ||||||
\(210\) | −2.54627 | − | 0.996266i | −0.175709 | − | 0.0687489i | ||||
\(211\) | 5.49134i | 0.378039i | 0.981973 | + | 0.189020i | \(0.0605310\pi\) | ||||
−0.981973 | + | 0.189020i | \(0.939469\pi\) | |||||||
\(212\) | 6.97859 | + | 2.54452i | 0.479292 | + | 0.174759i | ||||
\(213\) | −5.72928 | + | 5.72928i | −0.392564 | + | 0.392564i | ||||
\(214\) | −2.38255 | − | 10.7616i | −0.162868 | − | 0.735645i | ||||
\(215\) | −10.9309 | + | 16.2961i | −0.745478 | + | 1.11139i | ||||
\(216\) | −2.24542 | + | 1.71991i | −0.152781 | + | 0.117025i | ||||
\(217\) | −4.77551 | − | 4.77551i | −0.324183 | − | 0.324183i | ||||
\(218\) | −8.72559 | − | 5.56233i | −0.590972 | − | 0.376728i | ||||
\(219\) | 3.18537 | 0.215247 | ||||||||
\(220\) | 13.5175 | + | 18.5270i | 0.911351 | + | 1.24909i | ||||
\(221\) | −13.2524 | −0.891453 | ||||||||
\(222\) | 2.97082 | + | 1.89382i | 0.199389 | + | 0.127105i | ||||
\(223\) | 10.8678 | + | 10.8678i | 0.727764 | + | 0.727764i | 0.970174 | − | 0.242410i | \(-0.0779380\pi\) |
−0.242410 | + | 0.970174i | \(0.577938\pi\) | |||||||
\(224\) | 4.33526 | + | 2.26469i | 0.289662 | + | 0.151316i | ||||
\(225\) | −1.89692 | − | 4.62620i | −0.126461 | − | 0.308413i | ||||
\(226\) | 0.220121 | + | 0.994247i | 0.0146422 | + | 0.0661363i | ||||
\(227\) | −4.98244 | + | 4.98244i | −0.330696 | + | 0.330696i | −0.852851 | − | 0.522155i | \(-0.825128\pi\) |
0.522155 | + | 0.852851i | \(0.325128\pi\) | |||||||
\(228\) | 0.837751 | − | 2.29761i | 0.0554814 | − | 0.152163i | ||||
\(229\) | − | 25.7572i | − | 1.70208i | −0.525098 | − | 0.851041i | \(-0.675972\pi\) | ||
0.525098 | − | 0.851041i | \(-0.324028\pi\) | |||||||
\(230\) | −1.93070 | − | 4.41262i | −0.127307 | − | 0.290959i | ||||
\(231\) | − | 4.43407i | − | 0.291740i | ||||||
\(232\) | −0.321293 | + | 2.42438i | −0.0210939 | + | 0.159168i | ||||
\(233\) | −0.715328 | + | 0.715328i | −0.0468627 | + | 0.0468627i | −0.730150 | − | 0.683287i | \(-0.760550\pi\) |
0.683287 | + | 0.730150i | \(0.260550\pi\) | |||||||
\(234\) | 3.43982 | − | 0.761557i | 0.224868 | − | 0.0497846i | ||||
\(235\) | 6.03971 | + | 4.05121i | 0.393987 | + | 0.264272i | ||||
\(236\) | 0.446274 | + | 0.958469i | 0.0290499 | + | 0.0623910i | ||||
\(237\) | −11.2524 | − | 11.2524i | −0.730922 | − | 0.730922i | ||||
\(238\) | −3.49659 | + | 5.48509i | −0.226650 | + | 0.355545i | ||||
\(239\) | 26.9354 | 1.74231 | 0.871154 | − | 0.491009i | \(-0.163372\pi\) | ||||
0.871154 | + | 0.491009i | \(0.163372\pi\) | |||||||
\(240\) | 2.47770 | + | 8.59424i | 0.159935 | + | 0.554756i | ||||
\(241\) | 14.0925 | 0.907775 | 0.453887 | − | 0.891059i | \(-0.350037\pi\) | ||||
0.453887 | + | 0.891059i | \(0.350037\pi\) | |||||||
\(242\) | −11.6300 | + | 18.2439i | −0.747603 | + | 1.17276i | ||||
\(243\) | 0.707107 | + | 0.707107i | 0.0453609 | + | 0.0453609i | ||||
\(244\) | −4.20553 | − | 9.03228i | −0.269231 | − | 0.578232i | ||||
\(245\) | −13.7170 | + | 2.70304i | −0.876346 | + | 0.172691i | ||||
\(246\) | −7.62620 | + | 1.68840i | −0.486229 | + | 0.107648i | ||||
\(247\) | −2.15401 | + | 2.15401i | −0.137056 | + | 0.137056i | ||||
\(248\) | −2.90245 | + | 21.9010i | −0.184306 | + | 1.39071i | ||||
\(249\) | 11.2524i | 0.713092i | ||||||||
\(250\) | −15.8093 | + | 0.255758i | −0.999869 | + | 0.0161756i | ||||
\(251\) | − | 17.2471i | − | 1.08863i | −0.838882 | − | 0.544314i | \(-0.816790\pi\) | ||
0.838882 | − | 0.544314i | \(-0.183210\pi\) | |||||||
\(252\) | 0.592379 | − | 1.62465i | 0.0373164 | − | 0.102344i | ||||
\(253\) | 5.52311 | − | 5.52311i | 0.347235 | − | 0.347235i | ||||
\(254\) | 3.23853 | + | 14.6279i | 0.203203 | + | 0.917834i | ||||
\(255\) | −11.6707 | + | 2.29979i | −0.730844 | + | 0.144019i | ||||
\(256\) | −2.74229 | − | 15.7632i | −0.171393 | − | 0.985203i | ||||
\(257\) | −15.0140 | − | 15.0140i | −0.936545 | − | 0.936545i | 0.0615588 | − | 0.998103i | \(-0.480393\pi\) |
−0.998103 | + | 0.0615588i | \(0.980393\pi\) | |||||||
\(258\) | −10.4650 | − | 6.67112i | −0.651520 | − | 0.415326i | ||||
\(259\) | −2.15401 | −0.133844 | ||||||||
\(260\) | 1.72077 | − | 11.0074i | 0.106717 | − | 0.682648i | ||||
\(261\) | 0.864641 | 0.0535199 | ||||||||
\(262\) | 16.6909 | + | 10.6400i | 1.03117 | + | 0.657341i | ||||
\(263\) | 6.73386 | + | 6.73386i | 0.415228 | + | 0.415228i | 0.883555 | − | 0.468327i | \(-0.155143\pi\) |
−0.468327 | + | 0.883555i | \(0.655143\pi\) | |||||||
\(264\) | −11.5150 | + | 8.82008i | −0.708699 | + | 0.542838i | ||||
\(265\) | −6.89692 | − | 4.62620i | −0.423674 | − | 0.284185i | ||||
\(266\) | 0.323204 | + | 1.45986i | 0.0198169 | + | 0.0895096i | ||||
\(267\) | −5.12822 | + | 5.12822i | −0.313842 | + | 0.313842i | ||||
\(268\) | 16.4891 | + | 6.01224i | 1.00723 | + | 0.367256i | ||||
\(269\) | 25.7047i | 1.56724i | 0.621238 | + | 0.783622i | \(0.286630\pi\) | ||||
−0.621238 | + | 0.783622i | \(0.713370\pi\) | |||||||
\(270\) | 2.89710 | − | 1.26760i | 0.176312 | − | 0.0771437i | ||||
\(271\) | 0.931222i | 0.0565677i | 0.999600 | + | 0.0282839i | \(0.00900423\pi\) | ||||
−0.999600 | + | 0.0282839i | \(0.990996\pi\) | |||||||
\(272\) | 21.1997 | − | 1.83029i | 1.28542 | − | 0.110977i | ||||
\(273\) | −1.52311 | + | 1.52311i | −0.0921831 | + | 0.0921831i | ||||
\(274\) | 13.6963 | − | 3.03228i | 0.827421 | − | 0.183186i | ||||
\(275\) | −9.72780 | − | 23.7242i | −0.586608 | − | 1.43062i | ||||
\(276\) | 2.76156 | − | 1.28581i | 0.166226 | − | 0.0773968i | ||||
\(277\) | −22.0602 | − | 22.0602i | −1.32547 | − | 1.32547i | −0.909277 | − | 0.416190i | \(-0.863365\pi\) |
−0.416190 | − | 0.909277i | \(-0.636635\pi\) | |||||||
\(278\) | −1.73330 | + | 2.71901i | −0.103956 | + | 0.163075i | ||||
\(279\) | 7.81086 | 0.467624 | ||||||||
\(280\) | −4.10187 | − | 3.61647i | −0.245133 | − | 0.216125i | ||||
\(281\) | 8.56934 | 0.511204 | 0.255602 | − | 0.966782i | \(-0.417726\pi\) | ||||
0.255602 | + | 0.966782i | \(0.417726\pi\) | |||||||
\(282\) | −2.47246 | + | 3.87854i | −0.147233 | + | 0.230964i | ||||
\(283\) | −11.5705 | − | 11.5705i | −0.687796 | − | 0.687796i | 0.273949 | − | 0.961744i | \(-0.411670\pi\) |
−0.961744 | + | 0.273949i | \(0.911670\pi\) | |||||||
\(284\) | −14.6905 | + | 6.84006i | −0.871721 | + | 0.405883i | ||||
\(285\) | −1.52311 | + | 2.27072i | −0.0902215 | + | 0.134506i | ||||
\(286\) | 17.6402 | − | 3.90543i | 1.04308 | − | 0.230933i | ||||
\(287\) | 3.37680 | − | 3.37680i | 0.199326 | − | 0.199326i | ||||
\(288\) | −5.39747 | + | 1.69333i | −0.318049 | + | 0.0997803i | ||||
\(289\) | 11.2986i | 0.664625i | ||||||||
\(290\) | 0.996266 | − | 2.54627i | 0.0585027 | − | 0.149522i | ||||
\(291\) | − | 1.12265i | − | 0.0658108i | ||||||
\(292\) | 5.98529 | + | 2.18235i | 0.350262 | + | 0.127712i | ||||
\(293\) | 12.8969 | − | 12.8969i | 0.753446 | − | 0.753446i | −0.221675 | − | 0.975121i | \(-0.571152\pi\) |
0.975121 | + | 0.221675i | \(0.0711523\pi\) | |||||||
\(294\) | −1.91134 | − | 8.63317i | −0.111471 | − | 0.503497i | ||||
\(295\) | −0.228540 | − | 1.15976i | −0.0133061 | − | 0.0675240i | ||||
\(296\) | 4.28467 | + | 5.59383i | 0.249041 | + | 0.325135i | ||||
\(297\) | 3.62620 | + | 3.62620i | 0.210413 | + | 0.210413i | ||||
\(298\) | 12.0648 | + | 7.69095i | 0.698892 | + | 0.445525i | ||||
\(299\) | −3.79441 | −0.219436 | ||||||||
\(300\) | −0.394812 | − | 9.99220i | −0.0227945 | − | 0.576900i | ||||
\(301\) | 7.58767 | 0.437346 | ||||||||
\(302\) | −9.46491 | − | 6.03362i | −0.544644 | − | 0.347196i | ||||
\(303\) | 7.15383 | + | 7.15383i | 0.410977 | + | 0.410977i | ||||
\(304\) | 3.14826 | − | 3.74324i | 0.180565 | − | 0.214689i | ||||
\(305\) | 2.15368 | + | 10.9292i | 0.123319 | + | 0.625804i | ||||
\(306\) | −1.62620 | − | 7.34525i | −0.0929636 | − | 0.419900i | ||||
\(307\) | −1.60564 | + | 1.60564i | −0.0916387 | + | 0.0916387i | −0.751440 | − | 0.659801i | \(-0.770640\pi\) |
0.659801 | + | 0.751440i | \(0.270640\pi\) | |||||||
\(308\) | 3.03785 | − | 8.33158i | 0.173098 | − | 0.474736i | ||||
\(309\) | − | 5.40608i | − | 0.307541i | ||||||
\(310\) | 8.99992 | − | 23.0021i | 0.511161 | − | 1.30643i | ||||
\(311\) | − | 19.4161i | − | 1.10099i | −0.834839 | − | 0.550494i | \(-0.814439\pi\) | ||
0.834839 | − | 0.550494i | \(-0.185561\pi\) | |||||||
\(312\) | 6.98516 | + | 0.925715i | 0.395457 | + | 0.0524083i | ||||
\(313\) | 17.7110 | − | 17.7110i | 1.00108 | − | 1.00108i | 0.00108322 | − | 0.999999i | \(-0.499655\pi\) |
0.999999 | − | 0.00108322i | \(-0.000344798\pi\) | |||||||
\(314\) | 17.6017 | − | 3.89692i | 0.993321 | − | 0.219916i | ||||
\(315\) | −1.07700 | + | 1.60564i | −0.0606823 | + | 0.0904676i | ||||
\(316\) | −13.4340 | − | 28.8524i | −0.755721 | − | 1.62307i | ||||
\(317\) | −7.78946 | − | 7.78946i | −0.437500 | − | 0.437500i | 0.453670 | − | 0.891170i | \(-0.350115\pi\) |
−0.891170 | + | 0.453670i | \(0.850115\pi\) | |||||||
\(318\) | 2.82338 | − | 4.42902i | 0.158327 | − | 0.248367i | ||||
\(319\) | 4.43407 | 0.248260 | ||||||||
\(320\) | −1.23247 | + | 17.8460i | −0.0688969 | + | 0.997624i | ||||
\(321\) | −7.79383 | −0.435009 | ||||||||
\(322\) | −1.00114 | + | 1.57048i | −0.0557914 | + | 0.0875196i | ||||
\(323\) | 4.59958 | + | 4.59958i | 0.255928 | + | 0.255928i | ||||
\(324\) | 0.844199 | + | 1.81310i | 0.0468999 | + | 0.100728i | ||||
\(325\) | −4.80779 | + | 11.4908i | −0.266688 | + | 0.637397i | ||||
\(326\) | −25.5510 | + | 5.65685i | −1.41514 | + | 0.313304i | ||||
\(327\) | −5.17386 | + | 5.17386i | −0.286115 | + | 0.286115i | ||||
\(328\) | −15.4863 | − | 2.05234i | −0.855089 | − | 0.113322i | ||||
\(329\) | − | 2.81215i | − | 0.155039i | ||||||
\(330\) | 14.8570 | − | 6.50053i | 0.817849 | − | 0.357842i | ||||
\(331\) | 31.7005i | 1.74242i | 0.490912 | + | 0.871209i | \(0.336664\pi\) | ||||
−0.490912 | + | 0.871209i | \(0.663336\pi\) | |||||||
\(332\) | −7.70919 | + | 21.1432i | −0.423097 | + | 1.16038i | ||||
\(333\) | 1.76156 | − | 1.76156i | 0.0965327 | − | 0.0965327i | ||||
\(334\) | 4.89968 | + | 22.1310i | 0.268098 | + | 1.21095i | ||||
\(335\) | −16.2961 | − | 10.9309i | −0.890353 | − | 0.597216i | ||||
\(336\) | 2.22615 | − | 2.64687i | 0.121447 | − | 0.144398i | ||||
\(337\) | 18.9634 | + | 18.9634i | 1.03300 | + | 1.03300i | 0.999437 | + | 0.0335632i | \(0.0106855\pi\) |
0.0335632 | + | 0.999437i | \(0.489314\pi\) | |||||||
\(338\) | 8.10177 | + | 5.16466i | 0.440678 | + | 0.280920i | ||||
\(339\) | 0.720062 | 0.0391084 | ||||||||
\(340\) | −23.5047 | − | 3.67445i | −1.27472 | − | 0.199275i | ||||
\(341\) | 40.0558 | 2.16914 | ||||||||
\(342\) | −1.45820 | − | 0.929560i | −0.0788502 | − | 0.0502648i | ||||
\(343\) | 8.10243 | + | 8.10243i | 0.437490 | + | 0.437490i | ||||
\(344\) | −15.0931 | − | 19.7047i | −0.813765 | − | 1.06241i | ||||
\(345\) | −3.34153 | + | 0.658473i | −0.179902 | + | 0.0354510i | ||||
\(346\) | −3.44461 | − | 15.5587i | −0.185183 | − | 0.836441i | ||||
\(347\) | 7.71957 | − | 7.71957i | 0.414408 | − | 0.414408i | −0.468863 | − | 0.883271i | \(-0.655336\pi\) |
0.883271 | + | 0.468863i | \(0.155336\pi\) | |||||||
\(348\) | 1.62465 | + | 0.592379i | 0.0870906 | + | 0.0317549i | ||||
\(349\) | 27.0741i | 1.44925i | 0.689146 | + | 0.724623i | \(0.257986\pi\) | ||||
−0.689146 | + | 0.724623i | \(0.742014\pi\) | |||||||
\(350\) | 3.48747 | + | 5.02173i | 0.186413 | + | 0.268423i | ||||
\(351\) | − | 2.49122i | − | 0.132971i | ||||||
\(352\) | −27.6794 | + | 8.68375i | −1.47532 | + | 0.462846i | ||||
\(353\) | −9.96772 | + | 9.96772i | −0.530528 | + | 0.530528i | −0.920730 | − | 0.390201i | \(-0.872405\pi\) |
0.390201 | + | 0.920730i | \(0.372405\pi\) | |||||||
\(354\) | 0.729929 | − | 0.161602i | 0.0387953 | − | 0.00858906i | ||||
\(355\) | 17.7757 | − | 3.50285i | 0.943438 | − | 0.185912i | ||||
\(356\) | −13.1493 | + | 6.12247i | −0.696912 | + | 0.324490i | ||||
\(357\) | 3.25240 | + | 3.25240i | 0.172135 | + | 0.172135i | ||||
\(358\) | −9.61461 | + | 15.0824i | −0.508148 | + | 0.797129i | ||||
\(359\) | −14.2334 | −0.751211 | −0.375606 | − | 0.926780i | \(-0.622565\pi\) | ||||
−0.375606 | + | 0.926780i | \(0.622565\pi\) | |||||||
\(360\) | 6.31209 | − | 0.396963i | 0.332676 | − | 0.0209218i | ||||
\(361\) | −17.5048 | −0.921305 | ||||||||
\(362\) | 5.87578 | − | 9.21731i | 0.308824 | − | 0.484451i | ||||
\(363\) | 10.8178 | + | 10.8178i | 0.567785 | + | 0.567785i | ||||
\(364\) | −3.90543 | + | 1.81841i | −0.204700 | + | 0.0953107i | ||||
\(365\) | −5.91524 | − | 3.96772i | −0.309618 | − | 0.207680i | ||||
\(366\) | −6.87859 | + | 1.52288i | −0.359550 | + | 0.0796023i | ||||
\(367\) | −2.89145 | + | 2.89145i | −0.150933 | + | 0.150933i | −0.778534 | − | 0.627602i | \(-0.784037\pi\) |
0.627602 | + | 0.778534i | \(0.284037\pi\) | |||||||
\(368\) | 6.06988 | − | 0.524045i | 0.316414 | − | 0.0273177i | ||||
\(369\) | 5.52311i | 0.287522i | ||||||||
\(370\) | −3.15787 | − | 7.21731i | −0.164170 | − | 0.375210i | ||||
\(371\) | 3.21128i | 0.166721i | ||||||||
\(372\) | 14.6766 | + | 5.35135i | 0.760944 | + | 0.277454i | ||||
\(373\) | −11.2847 | + | 11.2847i | −0.584298 | + | 0.584298i | −0.936081 | − | 0.351783i | \(-0.885575\pi\) |
0.351783 | + | 0.936081i | \(0.385575\pi\) | |||||||
\(374\) | −8.33950 | − | 37.6681i | −0.431225 | − | 1.94777i | ||||
\(375\) | −2.23986 | + | 10.9537i | −0.115666 | + | 0.565645i | ||||
\(376\) | −7.30299 | + | 5.59383i | −0.376623 | + | 0.288480i | ||||
\(377\) | −1.52311 | − | 1.52311i | −0.0784444 | − | 0.0784444i | ||||
\(378\) | −1.03110 | − | 0.657298i | −0.0530341 | − | 0.0338078i | ||||
\(379\) | −15.4562 | −0.793932 | −0.396966 | − | 0.917833i | \(-0.629937\pi\) | ||||
−0.396966 | + | 0.917833i | \(0.629937\pi\) | |||||||
\(380\) | −4.41763 | + | 3.22315i | −0.226619 | + | 0.165344i | ||||
\(381\) | 10.5939 | 0.542743 | ||||||||
\(382\) | 8.40148 | + | 5.35571i | 0.429857 | + | 0.274022i | ||||
\(383\) | −12.5562 | − | 12.5562i | −0.641593 | − | 0.641593i | 0.309354 | − | 0.950947i | \(-0.399887\pi\) |
−0.950947 | + | 0.309354i | \(0.899887\pi\) | |||||||
\(384\) | −11.3019 | − | 0.516138i | −0.576749 | − | 0.0263390i | ||||
\(385\) | −5.52311 | + | 8.23407i | −0.281484 | + | 0.419647i | ||||
\(386\) | 4.97376 | + | 22.4656i | 0.253158 | + | 1.14347i | ||||
\(387\) | −6.20522 | + | 6.20522i | −0.315429 | + | 0.315429i | ||||
\(388\) | 0.769144 | − | 2.10945i | 0.0390474 | − | 0.107091i | ||||
\(389\) | − | 5.16327i | − | 0.261788i | −0.991396 | − | 0.130894i | \(-0.958215\pi\) | ||
0.991396 | − | 0.130894i | \(-0.0417848\pi\) | |||||||
\(390\) | −7.33636 | − | 2.87046i | −0.371491 | − | 0.145351i | ||||
\(391\) | 8.10243i | 0.409757i | ||||||||
\(392\) | 2.32333 | − | 17.5312i | 0.117346 | − | 0.885458i | ||||
\(393\) | 9.89692 | − | 9.89692i | 0.499233 | − | 0.499233i | ||||
\(394\) | 15.3847 | − | 3.40608i | 0.775068 | − | 0.171596i | ||||
\(395\) | 6.87964 | + | 34.9118i | 0.346152 | + | 1.75660i | ||||
\(396\) | 4.32924 | + | 9.29797i | 0.217552 | + | 0.467240i | ||||
\(397\) | −3.46293 | − | 3.46293i | −0.173800 | − | 0.173800i | 0.614847 | − | 0.788646i | \(-0.289218\pi\) |
−0.788646 | + | 0.614847i | \(0.789218\pi\) | |||||||
\(398\) | −8.72648 | + | 13.6892i | −0.437419 | + | 0.686177i | ||||
\(399\) | 1.05727 | 0.0529298 | ||||||||
\(400\) | 6.10397 | − | 19.0458i | 0.305198 | − | 0.952289i | ||||
\(401\) | 3.49521 | 0.174542 | 0.0872712 | − | 0.996185i | \(-0.472185\pi\) | ||||
0.0872712 | + | 0.996185i | \(0.472185\pi\) | |||||||
\(402\) | 6.67112 | − | 10.4650i | 0.332725 | − | 0.521945i | ||||
\(403\) | −13.7593 | − | 13.7593i | −0.685399 | − | 0.685399i | ||||
\(404\) | 8.54079 | + | 18.3432i | 0.424920 | + | 0.912608i | ||||
\(405\) | −0.432320 | − | 2.19388i | −0.0214822 | − | 0.109015i | ||||
\(406\) | −1.03228 | + | 0.228540i | −0.0512310 | + | 0.0113423i | ||||
\(407\) | 9.03365 | − | 9.03365i | 0.447781 | − | 0.447781i | ||||
\(408\) | 1.97673 | − | 14.9158i | 0.0978629 | − | 0.738443i | ||||
\(409\) | − | 14.8034i | − | 0.731982i | −0.930618 | − | 0.365991i | \(-0.880730\pi\) | ||
0.930618 | − | 0.365991i | \(-0.119270\pi\) | |||||||
\(410\) | 16.2650 | + | 6.36390i | 0.803269 | + | 0.314291i | ||||
\(411\) | − | 9.91923i | − | 0.489279i | ||||||
\(412\) | 3.70379 | − | 10.1580i | 0.182473 | − | 0.500448i | ||||
\(413\) | −0.323204 | + | 0.323204i | −0.0159039 | + | 0.0159039i | ||||
\(414\) | −0.465611 | − | 2.10308i | −0.0228835 | − | 0.103361i | ||||
\(415\) | 14.0161 | − | 20.8957i | 0.688023 | − | 1.02573i | ||||
\(416\) | 12.4908 | + | 6.52505i | 0.612414 | + | 0.319917i | ||||
\(417\) | 1.61224 | + | 1.61224i | 0.0789520 | + | 0.0789520i | ||||
\(418\) | −7.47795 | − | 4.76699i | −0.365758 | − | 0.233161i | ||||
\(419\) | 19.0701 | 0.931634 | 0.465817 | − | 0.884881i | \(-0.345760\pi\) | ||||
0.465817 | + | 0.884881i | \(0.345760\pi\) | |||||||
\(420\) | −3.12373 | + | 2.27911i | −0.152423 | + | 0.111209i | ||||
\(421\) | −20.8034 | −1.01390 | −0.506948 | − | 0.861976i | \(-0.669226\pi\) | ||||
−0.506948 | + | 0.861976i | \(0.669226\pi\) | |||||||
\(422\) | 6.54852 | + | 4.17450i | 0.318777 | + | 0.203212i | ||||
\(423\) | 2.29979 | + | 2.29979i | 0.111820 | + | 0.111820i | ||||
\(424\) | 8.33950 | − | 6.38776i | 0.405002 | − | 0.310217i | ||||
\(425\) | 24.5371 | + | 10.2663i | 1.19022 | + | 0.497991i | ||||
\(426\) | 2.47689 | + | 11.1877i | 0.120006 | + | 0.542044i | ||||
\(427\) | 3.04577 | − | 3.04577i | 0.147395 | − | 0.147395i | ||||
\(428\) | −14.6446 | − | 5.33968i | −0.707872 | − | 0.258103i | ||||
\(429\) | − | 12.7755i | − | 0.616807i | ||||||
\(430\) | 11.1238 | + | 25.4235i | 0.536439 | + | 1.22603i | ||||
\(431\) | − | 15.3302i | − | 0.738428i | −0.929344 | − | 0.369214i | \(-0.879627\pi\) | ||
0.929344 | − | 0.369214i | \(-0.120373\pi\) | |||||||
\(432\) | 0.344061 | + | 3.98518i | 0.0165537 | + | 0.191737i | ||||
\(433\) | 16.2803 | − | 16.2803i | 0.782381 | − | 0.782381i | −0.197851 | − | 0.980232i | \(-0.563396\pi\) |
0.980232 | + | 0.197851i | \(0.0633961\pi\) | |||||||
\(434\) | −9.32521 | + | 2.06455i | −0.447625 | + | 0.0991016i | ||||
\(435\) | −1.60564 | − | 1.07700i | −0.0769846 | − | 0.0516384i | ||||
\(436\) | −13.2663 | + | 6.17696i | −0.635343 | + | 0.295823i | ||||
\(437\) | 1.31695 | + | 1.31695i | 0.0629981 | + | 0.0629981i | ||||
\(438\) | 2.42151 | − | 3.79861i | 0.115704 | − | 0.181505i | ||||
\(439\) | −24.6554 | −1.17674 | −0.588368 | − | 0.808593i | \(-0.700230\pi\) | ||||
−0.588368 | + | 0.808593i | \(0.700230\pi\) | |||||||
\(440\) | 32.3698 | − | 2.03571i | 1.54317 | − | 0.0970488i | ||||
\(441\) | −6.25240 | −0.297733 | ||||||||
\(442\) | −10.0744 | + | 15.8037i | −0.479192 | + | 0.751706i | ||||
\(443\) | −1.77116 | − | 1.77116i | −0.0841501 | − | 0.0841501i | 0.663779 | − | 0.747929i | \(-0.268952\pi\) |
−0.747929 | + | 0.663779i | \(0.768952\pi\) | |||||||
\(444\) | 4.51683 | − | 2.10308i | 0.214359 | − | 0.0998079i | ||||
\(445\) | 15.9109 | − | 3.13536i | 0.754248 | − | 0.148630i | ||||
\(446\) | 21.2218 | − | 4.69839i | 1.00488 | − | 0.222475i | ||||
\(447\) | 7.15383 | − | 7.15383i | 0.338364 | − | 0.338364i | ||||
\(448\) | 5.99634 | − | 3.44827i | 0.283300 | − | 0.162916i | ||||
\(449\) | − | 33.1512i | − | 1.56450i | −0.622963 | − | 0.782251i | \(-0.714071\pi\) | ||
0.622963 | − | 0.782251i | \(-0.285929\pi\) | |||||||
\(450\) | −6.95886 | − | 1.25472i | −0.328044 | − | 0.0591480i | ||||
\(451\) | 28.3237i | 1.33371i | ||||||||
\(452\) | 1.35299 | + | 0.493326i | 0.0636394 | + | 0.0232041i | ||||
\(453\) | −5.61224 | + | 5.61224i | −0.263686 | + | 0.263686i | ||||
\(454\) | 2.15401 | + | 9.72928i | 0.101093 | + | 0.456618i | ||||
\(455\) | 4.72563 | − | 0.931222i | 0.221541 | − | 0.0436564i | ||||
\(456\) | −2.10308 | − | 2.74567i | −0.0984859 | − | 0.128578i | ||||
\(457\) | −7.50479 | − | 7.50479i | −0.351059 | − | 0.351059i | 0.509444 | − | 0.860504i | \(-0.329851\pi\) |
−0.860504 | + | 0.509444i | \(0.829851\pi\) | |||||||
\(458\) | −30.7159 | − | 19.5806i | −1.43526 | − | 0.914939i | ||||
\(459\) | −5.31965 | −0.248300 | ||||||||
\(460\) | −6.72984 | − | 1.05207i | −0.313780 | − | 0.0490528i | ||||
\(461\) | −27.0216 | −1.25852 | −0.629262 | − | 0.777193i | \(-0.716643\pi\) | ||||
−0.629262 | + | 0.777193i | \(0.716643\pi\) | |||||||
\(462\) | −5.28771 | − | 3.37077i | −0.246006 | − | 0.156822i | ||||
\(463\) | −27.7123 | − | 27.7123i | −1.28790 | − | 1.28790i | −0.936059 | − | 0.351843i | \(-0.885555\pi\) |
−0.351843 | − | 0.936059i | \(-0.614445\pi\) | |||||||
\(464\) | 2.64687 | + | 2.22615i | 0.122878 | + | 0.103347i | ||||
\(465\) | −14.5048 | − | 9.72928i | −0.672644 | − | 0.451185i | ||||
\(466\) | 0.309251 | + | 1.39683i | 0.0143258 | + | 0.0647070i | ||||
\(467\) | 2.00823 | − | 2.00823i | 0.0929296 | − | 0.0929296i | −0.659114 | − | 0.752043i | \(-0.729068\pi\) |
0.752043 | + | 0.659114i | \(0.229068\pi\) | |||||||
\(468\) | 1.70677 | − | 4.68098i | 0.0788956 | − | 0.216378i | ||||
\(469\) | 7.58767i | 0.350366i | ||||||||
\(470\) | 9.42252 | − | 4.12274i | 0.434628 | − | 0.190168i | ||||
\(471\) | − | 12.7477i | − | 0.587381i | ||||||
\(472\) | 1.48225 | + | 0.196436i | 0.0682260 | + | 0.00904172i | ||||
\(473\) | −31.8217 | + | 31.8217i | −1.46317 | + | 1.46317i | ||||
\(474\) | −21.9727 | + | 4.86464i | −1.00924 | + | 0.223440i | ||||
\(475\) | 5.65685 | − | 2.31952i | 0.259554 | − | 0.106427i | ||||
\(476\) | 3.88296 | + | 8.33950i | 0.177975 | + | 0.382240i | ||||
\(477\) | −2.62620 | − | 2.62620i | −0.120245 | − | 0.120245i | ||||
\(478\) | 20.4763 | − | 32.1210i | 0.936562 | − | 1.46918i | ||||
\(479\) | 13.7593 | 0.628678 | 0.314339 | − | 0.949311i | \(-0.398217\pi\) | ||||
0.314339 | + | 0.949311i | \(0.398217\pi\) | |||||||
\(480\) | 12.1323 | + | 3.57862i | 0.553763 | + | 0.163341i | ||||
\(481\) | −6.20617 | −0.282977 | ||||||||
\(482\) | 10.7131 | − | 16.8055i | 0.487966 | − | 0.765470i | ||||
\(483\) | 0.931222 | + | 0.931222i | 0.0423721 | + | 0.0423721i | ||||
\(484\) | 12.9151 | + | 27.7379i | 0.587049 | + | 1.26081i | ||||
\(485\) | −1.39838 | + | 2.08476i | −0.0634972 | + | 0.0946641i | ||||
\(486\) | 1.38078 | − | 0.305697i | 0.0626334 | − | 0.0138667i | ||||
\(487\) | 24.3355 | − | 24.3355i | 1.10275 | − | 1.10275i | 0.108671 | − | 0.994078i | \(-0.465340\pi\) |
0.994078 | − | 0.108671i | \(-0.0346596\pi\) | |||||||
\(488\) | −13.9682 | − | 1.85115i | −0.632310 | − | 0.0837975i | ||||
\(489\) | 18.5048i | 0.836816i | ||||||||
\(490\) | −7.20420 | + | 18.4126i | −0.325453 | + | 0.831797i | ||||
\(491\) | 28.8918i | 1.30387i | 0.758275 | + | 0.651935i | \(0.226043\pi\) | ||||
−0.758275 | + | 0.651935i | \(0.773957\pi\) | |||||||
\(492\) | −3.78397 | + | 10.3779i | −0.170595 | + | 0.467872i | ||||
\(493\) | −3.25240 | + | 3.25240i | −0.146481 | + | 0.146481i | ||||
\(494\) | 0.931222 | + | 4.20617i | 0.0418977 | + | 0.189244i | ||||
\(495\) | −2.21703 | − | 11.2507i | −0.0996483 | − | 0.505681i | ||||
\(496\) | 23.9109 | + | 20.1103i | 1.07363 | + | 0.902979i | ||||
\(497\) | −4.95377 | − | 4.95377i | −0.222207 | − | 0.222207i | ||||
\(498\) | 13.4187 | + | 8.55405i | 0.601306 | + | 0.383316i | ||||
\(499\) | 12.5365 | 0.561211 | 0.280605 | − | 0.959823i | \(-0.409465\pi\) | ||||
0.280605 | + | 0.959823i | \(0.409465\pi\) | |||||||
\(500\) | −11.7132 | + | 19.0473i | −0.523831 | + | 0.851822i | ||||
\(501\) | 16.0279 | 0.716074 | ||||||||
\(502\) | −20.5675 | − | 13.1112i | −0.917972 | − | 0.585182i | ||||
\(503\) | 9.01392 | + | 9.01392i | 0.401911 | + | 0.401911i | 0.878906 | − | 0.476995i | \(-0.158274\pi\) |
−0.476995 | + | 0.878906i | \(0.658274\pi\) | |||||||
\(504\) | −1.48710 | − | 1.94148i | −0.0662409 | − | 0.0864805i | ||||
\(505\) | −4.37380 | − | 22.1955i | −0.194632 | − | 0.987689i | ||||
\(506\) | −2.38776 | − | 10.7851i | −0.106149 | − | 0.479455i | ||||
\(507\) | 4.80397 | − | 4.80397i | 0.213352 | − | 0.213352i | ||||
\(508\) | 19.9059 | + | 7.25806i | 0.883182 | + | 0.322025i | ||||
\(509\) | − | 22.5448i | − | 0.999279i | −0.866233 | − | 0.499640i | \(-0.833466\pi\) | ||
0.866233 | − | 0.499640i | \(-0.166534\pi\) | |||||||
\(510\) | −6.12946 | + | 15.6658i | −0.271417 | + | 0.693691i | ||||
\(511\) | 2.75420i | 0.121839i | ||||||||
\(512\) | −20.8826 | − | 8.71295i | −0.922891 | − | 0.385062i | ||||
\(513\) | −0.864641 | + | 0.864641i | −0.0381748 | + | 0.0381748i | ||||
\(514\) | −29.3180 | + | 6.49084i | −1.29316 | + | 0.286299i | ||||
\(515\) | −6.73386 | + | 10.0391i | −0.296729 | + | 0.442376i | ||||
\(516\) | −15.9109 | + | 7.40828i | −0.700437 | + | 0.326131i | ||||
\(517\) | 11.7938 | + | 11.7938i | 0.518692 | + | 0.518692i | ||||
\(518\) | −1.63747 | + | 2.56869i | −0.0719464 | + | 0.112862i | ||||
\(519\) | −11.2681 | −0.494613 | ||||||||
\(520\) | −11.8184 | − | 10.4198i | −0.518270 | − | 0.456940i | ||||
\(521\) | −18.9046 | −0.828226 | −0.414113 | − | 0.910225i | \(-0.635908\pi\) | ||||
−0.414113 | + | 0.910225i | \(0.635908\pi\) | |||||||
\(522\) | 0.657298 | − | 1.03110i | 0.0287692 | − | 0.0451300i | ||||
\(523\) | 21.8269 | + | 21.8269i | 0.954426 | + | 0.954426i | 0.999006 | − | 0.0445800i | \(-0.0141949\pi\) |
−0.0445800 | + | 0.999006i | \(0.514195\pi\) | |||||||
\(524\) | 25.3768 | − | 11.8157i | 1.10859 | − | 0.516172i | ||||
\(525\) | 4.00000 | − | 1.64015i | 0.174574 | − | 0.0715821i | ||||
\(526\) | 13.1493 | − | 2.91118i | 0.573337 | − | 0.126934i | ||||
\(527\) | −29.3810 | + | 29.3810i | −1.27986 | + | 1.27986i | ||||
\(528\) | 1.76442 | + | 20.4368i | 0.0767866 | + | 0.889400i | ||||
\(529\) | − | 20.6801i | − | 0.899136i | ||||||
\(530\) | −10.7598 | + | 4.70787i | −0.467378 | + | 0.204497i | ||||
\(531\) | − | 0.528636i | − | 0.0229408i | ||||||
\(532\) | 1.98661 | + | 0.724353i | 0.0861303 | + | 0.0314047i | ||||
\(533\) | 9.72928 | − | 9.72928i | 0.421422 | − | 0.421422i | ||||
\(534\) | 2.21703 | + | 10.0140i | 0.0959404 | + | 0.433346i | ||||
\(535\) | 14.4732 | + | 9.70807i | 0.625730 | + | 0.419716i | ||||
\(536\) | 19.7047 | − | 15.0931i | 0.851114 | − | 0.651922i | ||||
\(537\) | 8.94315 | + | 8.94315i | 0.385925 | + | 0.385925i | ||||
\(538\) | 30.6533 | + | 19.5407i | 1.32156 | + | 0.842457i | ||||
\(539\) | −32.0637 | −1.38108 | ||||||||
\(540\) | 0.690733 | − | 4.41847i | 0.0297244 | − | 0.190141i | ||||
\(541\) | 7.85838 | 0.337858 | 0.168929 | − | 0.985628i | \(-0.445969\pi\) | ||||
0.168929 | + | 0.985628i | \(0.445969\pi\) | |||||||
\(542\) | 1.11050 | + | 0.707913i | 0.0477000 | + | 0.0304075i | ||||
\(543\) | −5.46543 | − | 5.46543i | −0.234544 | − | 0.234544i | ||||
\(544\) | 13.9333 | − | 26.6724i | 0.597387 | − | 1.14357i | ||||
\(545\) | 16.0525 | − | 3.16327i | 0.687613 | − | 0.135499i | ||||
\(546\) | 0.658473 | + | 2.97421i | 0.0281801 | + | 0.127284i | ||||
\(547\) | −17.8105 | + | 17.8105i | −0.761522 | + | 0.761522i | −0.976597 | − | 0.215076i | \(-0.931000\pi\) |
0.215076 | + | 0.976597i | \(0.431000\pi\) | |||||||
\(548\) | 6.79582 | − | 18.6382i | 0.290303 | − | 0.796183i | ||||
\(549\) | 4.98168i | 0.212613i | ||||||||
\(550\) | −35.6865 | − | 6.43447i | −1.52168 | − | 0.274367i | ||||
\(551\) | 1.05727i | 0.0450413i | ||||||||
\(552\) | 0.565976 | − | 4.27068i | 0.0240895 | − | 0.181772i | ||||
\(553\) | 9.72928 | − | 9.72928i | 0.413731 | − | 0.413731i | ||||
\(554\) | −43.0773 | + | 9.53707i | −1.83018 | + | 0.405191i | ||||
\(555\) | −5.46543 | + | 1.07700i | −0.231994 | + | 0.0457163i | ||||
\(556\) | 1.92482 | + | 4.13397i | 0.0816307 | + | 0.175319i | ||||
\(557\) | 23.3372 | + | 23.3372i | 0.988827 | + | 0.988827i | 0.999938 | − | 0.0111112i | \(-0.00353686\pi\) |
−0.0111112 | + | 0.999938i | \(0.503537\pi\) | |||||||
\(558\) | 5.93780 | − | 9.31460i | 0.251367 | − | 0.394318i | ||||
\(559\) | 21.8617 | 0.924652 | ||||||||
\(560\) | −7.43093 | + | 2.14232i | −0.314014 | + | 0.0905296i | ||||
\(561\) | −27.2803 | −1.15178 | ||||||||
\(562\) | 6.51439 | − | 10.2191i | 0.274793 | − | 0.431067i | ||||
\(563\) | 5.27400 | + | 5.27400i | 0.222273 | + | 0.222273i | 0.809455 | − | 0.587182i | \(-0.199763\pi\) |
−0.587182 | + | 0.809455i | \(0.699763\pi\) | |||||||
\(564\) | 2.74567 | + | 5.89692i | 0.115614 | + | 0.248305i | ||||
\(565\) | −1.33716 | − | 0.896916i | −0.0562546 | − | 0.0377336i | ||||
\(566\) | −22.5939 | + | 5.00217i | −0.949693 | + | 0.210257i | ||||
\(567\) | −0.611393 | + | 0.611393i | −0.0256761 | + | 0.0256761i | ||||
\(568\) | −3.01079 | + | 22.7185i | −0.126330 | + | 0.953247i | ||||
\(569\) | 28.5606i | 1.19732i | 0.801002 | + | 0.598661i | \(0.204301\pi\) | ||||
−0.801002 | + | 0.598661i | \(0.795699\pi\) | |||||||
\(570\) | 1.55000 | + | 3.54254i | 0.0649225 | + | 0.148381i | ||||
\(571\) | − | 32.2837i | − | 1.35103i | −0.737347 | − | 0.675515i | \(-0.763922\pi\) | ||
0.737347 | − | 0.675515i | \(-0.236078\pi\) | |||||||
\(572\) | 8.75270 | − | 24.0051i | 0.365969 | − | 1.00370i | ||||
\(573\) | 4.98168 | − | 4.98168i | 0.208113 | − | 0.208113i | ||||
\(574\) | −1.45986 | − | 6.59392i | −0.0609333 | − | 0.275225i | ||||
\(575\) | 7.02542 | + | 2.93945i | 0.292980 | + | 0.122583i | ||||
\(576\) | −2.08382 | + | 7.72384i | −0.0868257 | + | 0.321827i | ||||
\(577\) | 27.0279 | + | 27.0279i | 1.12519 | + | 1.12519i | 0.990949 | + | 0.134237i | \(0.0428584\pi\) |
0.134237 | + | 0.990949i | \(0.457142\pi\) | |||||||
\(578\) | 13.4738 | + | 8.58919i | 0.560437 | + | 0.357263i | ||||
\(579\) | 16.2702 | 0.676168 | ||||||||
\(580\) | −2.27911 | − | 3.12373i | −0.0946351 | − | 0.129706i | ||||
\(581\) | −9.72928 | −0.403639 | ||||||||
\(582\) | −1.33878 | − | 0.853435i | −0.0554942 | − | 0.0353760i | ||||
\(583\) | −13.4677 | − | 13.4677i | −0.557776 | − | 0.557776i | ||||
\(584\) | 7.15249 | − | 5.47855i | 0.295972 | − | 0.226704i | ||||
\(585\) | −3.10308 | + | 4.62620i | −0.128297 | + | 0.191270i | ||||
\(586\) | −5.57560 | − | 25.1840i | −0.230326 | − | 1.04034i | ||||
\(587\) | −17.1558 | + | 17.1558i | −0.708096 | + | 0.708096i | −0.966135 | − | 0.258039i | \(-0.916924\pi\) |
0.258039 | + | 0.966135i | \(0.416924\pi\) | |||||||
\(588\) | −11.7482 | − | 4.28362i | −0.484488 | − | 0.176653i | ||||
\(589\) | 9.55102i | 0.393543i | ||||||||
\(590\) | −1.55677 | − | 0.609110i | −0.0640913 | − | 0.0250767i | ||||
\(591\) | − | 11.1420i | − | 0.458321i | ||||||
\(592\) | 9.92794 | − | 0.857132i | 0.408036 | − | 0.0352279i | ||||
\(593\) | −21.5833 | + | 21.5833i | −0.886320 | + | 0.886320i | −0.994167 | − | 0.107848i | \(-0.965604\pi\) |
0.107848 | + | 0.994167i | \(0.465604\pi\) | |||||||
\(594\) | 7.08093 | − | 1.56768i | 0.290534 | − | 0.0643227i | ||||
\(595\) | −1.98849 | − | 10.0909i | −0.0815203 | − | 0.413687i | ||||
\(596\) | 18.3432 | − | 8.54079i | 0.751366 | − | 0.349844i | ||||
\(597\) | 8.11704 | + | 8.11704i | 0.332208 | + | 0.332208i | ||||
\(598\) | −2.88450 | + | 4.52490i | −0.117956 | + | 0.185037i | ||||
\(599\) | 23.7636 | 0.970955 | 0.485478 | − | 0.874249i | \(-0.338646\pi\) | ||||
0.485478 | + | 0.874249i | \(0.338646\pi\) | |||||||
\(600\) | −12.2160 | − | 7.12523i | −0.498717 | − | 0.290886i | ||||
\(601\) | 22.1695 | 0.904314 | 0.452157 | − | 0.891938i | \(-0.350655\pi\) | ||||
0.452157 | + | 0.891938i | \(0.350655\pi\) | |||||||
\(602\) | 5.76813 | − | 9.04843i | 0.235091 | − | 0.368786i | ||||
\(603\) | −6.20522 | − | 6.20522i | −0.252696 | − | 0.252696i | ||||
\(604\) | −14.3904 | + | 6.70033i | −0.585537 | + | 0.272633i | ||||
\(605\) | −6.61391 | − | 33.5633i | −0.268894 | − | 1.36454i | ||||
\(606\) | 13.9694 | − | 3.09275i | 0.567468 | − | 0.125634i | ||||
\(607\) | −9.35348 | + | 9.35348i | −0.379646 | + | 0.379646i | −0.870974 | − | 0.491328i | \(-0.836511\pi\) |
0.491328 | + | 0.870974i | \(0.336511\pi\) | |||||||
\(608\) | −2.07058 | − | 6.59995i | −0.0839731 | − | 0.267663i | ||||
\(609\) | 0.747604i | 0.0302944i | ||||||||
\(610\) | 14.6705 | + | 5.74004i | 0.593990 | + | 0.232408i | ||||
\(611\) | − | 8.10243i | − | 0.327789i | ||||||
\(612\) | −9.99558 | − | 3.64457i | −0.404047 | − | 0.147323i | ||||
\(613\) | −24.1247 | + | 24.1247i | −0.974389 | + | 0.974389i | −0.999680 | − | 0.0252913i | \(-0.991949\pi\) |
0.0252913 | + | 0.999680i | \(0.491949\pi\) | |||||||
\(614\) | 0.694151 | + | 3.13536i | 0.0280137 | + | 0.126533i | ||||
\(615\) | 6.87964 | − | 10.2564i | 0.277414 | − | 0.413579i | ||||
\(616\) | −7.62620 | − | 9.95634i | −0.307268 | − | 0.401152i | ||||
\(617\) | 3.82611 | + | 3.82611i | 0.154033 | + | 0.154033i | 0.779917 | − | 0.625883i | \(-0.215261\pi\) |
−0.625883 | + | 0.779917i | \(0.715261\pi\) | |||||||
\(618\) | −6.44685 | − | 4.10969i | −0.259330 | − | 0.165316i | ||||
\(619\) | −30.1297 | −1.21101 | −0.605507 | − | 0.795840i | \(-0.707029\pi\) | ||||
−0.605507 | + | 0.795840i | \(0.707029\pi\) | |||||||
\(620\) | −20.5887 | − | 28.2187i | −0.826863 | − | 1.13329i | ||||
\(621\) | −1.52311 | −0.0611205 | ||||||||
\(622\) | −23.1541 | − | 14.7601i | −0.928395 | − | 0.591826i | ||||
\(623\) | −4.43407 | − | 4.43407i | −0.177647 | − | 0.177647i | ||||
\(624\) | 6.41403 | − | 7.62620i | 0.256767 | − | 0.305292i | ||||
\(625\) | 17.8034 | − | 17.5510i | 0.712137 | − | 0.702041i | ||||
\(626\) | −7.65681 | − | 34.5845i | −0.306028 | − | 1.38227i | ||||
\(627\) | −4.43407 | + | 4.43407i | −0.177080 | + | 0.177080i | ||||
\(628\) | 8.73362 | − | 23.9528i | 0.348509 | − | 0.955819i | ||||
\(629\) | 13.2524i | 0.528408i | ||||||||
\(630\) | 1.09602 | + | 2.50495i | 0.0436664 | + | 0.0997997i | ||||
\(631\) | − | 21.5701i | − | 0.858694i | −0.903140 | − | 0.429347i | \(-0.858744\pi\) | ||
0.903140 | − | 0.429347i | \(-0.141256\pi\) | |||||||
\(632\) | −44.6195 | − | 5.91324i | −1.77487 | − | 0.235216i | ||||
\(633\) | 3.88296 | − | 3.88296i | 0.154334 | − | 0.154334i | ||||
\(634\) | −15.2106 | + | 3.36754i | −0.604090 | + | 0.133742i | ||||
\(635\) | −19.6729 | − | 13.1959i | −0.780697 | − | 0.523663i | ||||
\(636\) | −3.13536 | − | 6.73386i | −0.124325 | − | 0.267015i | ||||
\(637\) | 11.0140 | + | 11.0140i | 0.436389 | + | 0.436389i | ||||
\(638\) | 3.37077 | − | 5.28771i | 0.133450 | − | 0.209342i | ||||
\(639\) | 8.10243 | 0.320527 | ||||||||
\(640\) | 20.3448 | + | 15.0363i | 0.804199 | + | 0.594360i | ||||
\(641\) | 48.3911 | 1.91133 | 0.955666 | − | 0.294452i | \(-0.0951370\pi\) | ||||
0.955666 | + | 0.294452i | \(0.0951370\pi\) | |||||||
\(642\) | −5.92485 | + | 9.29429i | −0.233835 | + | 0.366816i | ||||
\(643\) | 23.3413 | + | 23.3413i | 0.920491 | + | 0.920491i | 0.997064 | − | 0.0765729i | \(-0.0243978\pi\) |
−0.0765729 | + | 0.997064i | \(0.524398\pi\) | |||||||
\(644\) | 1.11177 | + | 2.38776i | 0.0438097 | + | 0.0940907i | ||||
\(645\) | 19.2524 | − | 3.79383i | 0.758062 | − | 0.149382i | ||||
\(646\) | 8.98168 | − | 1.98849i | 0.353379 | − | 0.0782362i | ||||
\(647\) | 32.4465 | − | 32.4465i | 1.27560 | − | 1.27560i | 0.332501 | − | 0.943103i | \(-0.392108\pi\) |
0.943103 | − | 0.332501i | \(-0.107892\pi\) | |||||||
\(648\) | 2.80391 | + | 0.371591i | 0.110148 | + | 0.0145975i | ||||
\(649\) | − | 2.71096i | − | 0.106414i | ||||||
\(650\) | 10.0482 | + | 14.4687i | 0.394121 | + | 0.567508i | ||||
\(651\) | 6.75359i | 0.264694i | ||||||||
\(652\) | −12.6779 | + | 34.7704i | −0.496506 | + | 1.36171i | ||||
\(653\) | 18.4725 | − | 18.4725i | 0.722885 | − | 0.722885i | −0.246307 | − | 0.969192i | \(-0.579217\pi\) |
0.969192 | + | 0.246307i | \(0.0792170\pi\) | |||||||
\(654\) | 2.23677 | + | 10.1031i | 0.0874645 | + | 0.395062i | ||||
\(655\) | −30.7063 | + | 6.05091i | −1.19979 | + | 0.236429i | ||||
\(656\) | −14.2201 | + | 16.9075i | −0.555202 | + | 0.660128i | ||||
\(657\) | −2.25240 | − | 2.25240i | −0.0878743 | − | 0.0878743i | ||||
\(658\) | −3.35355 | − | 2.13779i | −0.130735 | − | 0.0833399i | ||||
\(659\) | 47.5028 | 1.85045 | 0.925223 | − | 0.379423i | \(-0.123878\pi\) | ||||
0.925223 | + | 0.379423i | \(0.123878\pi\) | |||||||
\(660\) | 3.54223 | − | 22.6589i | 0.137881 | − | 0.881996i | ||||
\(661\) | −46.1204 | −1.79387 | −0.896937 | − | 0.442158i | \(-0.854213\pi\) | ||||
−0.896937 | + | 0.442158i | \(0.854213\pi\) | |||||||
\(662\) | 37.8035 | + | 24.0987i | 1.46927 | + | 0.936621i | ||||
\(663\) | 9.37086 | + | 9.37086i | 0.363934 | + | 0.363934i | ||||
\(664\) | 19.3531 | + | 25.2663i | 0.751046 | + | 0.980525i | ||||
\(665\) | −1.96336 | − | 1.31695i | −0.0761357 | − | 0.0510690i | ||||
\(666\) | −0.761557 | − | 3.43982i | −0.0295097 | − | 0.133290i | ||||
\(667\) | −0.931222 | + | 0.931222i | −0.0360571 | + | 0.0360571i | ||||
\(668\) | 30.1163 | + | 10.9810i | 1.16524 | + | 0.424867i | ||||
\(669\) | − | 15.3694i | − | 0.594217i | ||||||
\(670\) | −25.4235 | + | 11.1238i | −0.982197 | + | 0.429751i | ||||
\(671\) | 25.5471i | 0.986236i | ||||||||
\(672\) | −1.46412 | − | 4.66687i | −0.0564797 | − | 0.180028i | ||||
\(673\) | 3.60599 | − | 3.60599i | 0.139001 | − | 0.139001i | −0.634183 | − | 0.773183i | \(-0.718663\pi\) |
0.773183 | + | 0.634183i | \(0.218663\pi\) | |||||||
\(674\) | 37.0300 | − | 8.19825i | 1.42634 | − | 0.315785i | ||||
\(675\) | −1.92989 | + | 4.61254i | −0.0742816 | + | 0.177537i | ||||
\(676\) | 12.3179 | − | 5.73535i | 0.473765 | − | 0.220590i | ||||
\(677\) | −8.26635 | − | 8.26635i | −0.317702 | − | 0.317702i | 0.530182 | − | 0.847884i | \(-0.322124\pi\) |
−0.847884 | + | 0.530182i | \(0.822124\pi\) | |||||||
\(678\) | 0.547390 | − | 0.858688i | 0.0210224 | − | 0.0329777i | ||||
\(679\) | 0.970688 | 0.0372516 | ||||||||
\(680\) | −22.2501 | + | 25.2365i | −0.853251 | + | 0.967774i | ||||
\(681\) | 7.04623 | 0.270012 | ||||||||
\(682\) | 30.4503 | − | 47.7673i | 1.16600 | − | 1.82910i | ||||
\(683\) | 8.43079 | + | 8.43079i | 0.322595 | + | 0.322595i | 0.849762 | − | 0.527167i | \(-0.176746\pi\) |
−0.527167 | + | 0.849762i | \(0.676746\pi\) | |||||||
\(684\) | −2.21703 | + | 1.03228i | −0.0847704 | + | 0.0394700i | ||||
\(685\) | −12.3555 | + | 18.4200i | −0.472079 | + | 0.703793i | ||||
\(686\) | 15.8217 | − | 3.50285i | 0.604077 | − | 0.133739i | ||||
\(687\) | −18.2131 | + | 18.2131i | −0.694872 | + | 0.694872i | ||||
\(688\) | −34.9719 | + | 3.01932i | −1.33329 | + | 0.115110i | ||||
\(689\) | 9.25240i | 0.352488i | ||||||||
\(690\) | −1.75498 | + | 4.48540i | −0.0668109 | + | 0.170756i | ||||
\(691\) | − | 21.9182i | − | 0.833809i | −0.908950 | − | 0.416905i | \(-0.863115\pi\) | ||
0.908950 | − | 0.416905i | \(-0.136885\pi\) | |||||||
\(692\) | −21.1726 | − | 7.71993i | −0.804862 | − | 0.293468i | ||||
\(693\) | −3.13536 | + | 3.13536i | −0.119102 | + | 0.119102i | ||||
\(694\) | −3.33733 | − | 15.0741i | −0.126683 | − | 0.572206i | ||||
\(695\) | −0.985716 | − | 5.00217i | −0.0373903 | − | 0.189743i | ||||
\(696\) | 1.94148 | − | 1.48710i | 0.0735917 | − | 0.0563686i | ||||
\(697\) | −20.7755 | − | 20.7755i | −0.786929 | − | 0.786929i | ||||
\(698\) | 32.2864 | + | 20.5817i | 1.22206 | + | 0.779029i | ||||
\(699\) | 1.01163 | 0.0382633 | ||||||||
\(700\) | 8.63967 | − | 0.341370i | 0.326549 | − | 0.0129026i | ||||
\(701\) | −21.8184 | −0.824070 | −0.412035 | − | 0.911168i | \(-0.635182\pi\) | ||||
−0.412035 | + | 0.911168i | \(0.635182\pi\) | |||||||
\(702\) | −2.97082 | − | 1.89382i | −0.112126 | − | 0.0714776i | ||||
\(703\) | 2.15401 | + | 2.15401i | 0.0812400 | + | 0.0812400i | ||||
\(704\) | −10.6863 | + | 39.6095i | −0.402754 | + | 1.49284i | ||||
\(705\) | −1.40608 | − | 7.13536i | −0.0529559 | − | 0.268733i | ||||
\(706\) | 4.30925 | + | 19.4641i | 0.162181 | + | 0.732542i | ||||
\(707\) | −6.18549 | + | 6.18549i | −0.232629 | + | 0.232629i | ||||
\(708\) | 0.362177 | − | 0.993303i | 0.0136114 | − | 0.0373306i | ||||
\(709\) | − | 31.7938i | − | 1.19404i | −0.802225 | − | 0.597021i | \(-0.796351\pi\) | ||
0.802225 | − | 0.597021i | \(-0.203649\pi\) | |||||||
\(710\) | 9.33587 | − | 23.8607i | 0.350369 | − | 0.895478i | ||||
\(711\) | 15.9133i | 0.596795i | ||||||||
\(712\) | −2.69493 | + | 20.3351i | −0.100997 | + | 0.762089i | ||||
\(713\) | −8.41233 | + | 8.41233i | −0.315044 | + | 0.315044i | ||||
\(714\) | 6.35101 | − | 1.40608i | 0.237680 | − | 0.0526211i | ||||
\(715\) | −15.9133 | + | 23.7242i | −0.595123 | + | 0.887233i | ||||
\(716\) | 10.6770 | + | 22.9312i | 0.399019 | + | 0.856979i | ||||
\(717\) | −19.0462 | − | 19.0462i | −0.711294 | − | 0.711294i | ||||
\(718\) | −10.8202 | + | 16.9736i | −0.403807 | + | 0.633450i | ||||
\(719\) | −52.0874 | −1.94253 | −0.971265 | − | 0.237999i | \(-0.923508\pi\) | ||||
−0.971265 | + | 0.237999i | \(0.923508\pi\) | |||||||
\(720\) | 4.32505 | − | 7.82905i | 0.161185 | − | 0.291771i | ||||
\(721\) | 4.67432 | 0.174081 | ||||||||
\(722\) | −13.3071 | + | 20.8748i | −0.495239 | + | 0.776879i | ||||
\(723\) | −9.96487 | − | 9.96487i | −0.370598 | − | 0.370598i | ||||
\(724\) | −6.52505 | − | 14.0140i | −0.242502 | − | 0.520824i | ||||
\(725\) | 1.64015 | + | 4.00000i | 0.0609137 | + | 0.148556i | ||||
\(726\) | 21.1240 | − | 4.67674i | 0.783986 | − | 0.173570i | ||||
\(727\) | 8.13069 | − | 8.13069i | 0.301551 | − | 0.301551i | −0.540070 | − | 0.841620i | \(-0.681602\pi\) |
0.841620 | + | 0.540070i | \(0.181602\pi\) | |||||||
\(728\) | −0.800411 | + | 6.03965i | −0.0296652 | + | 0.223844i | ||||
\(729\) | − | 1.00000i | − | 0.0370370i | ||||||
\(730\) | −9.22833 | + | 4.03777i | −0.341556 | + | 0.149445i | ||||
\(731\) | − | 46.6826i | − | 1.72662i | ||||||
\(732\) | −3.41303 | + | 9.36054i | −0.126149 | + | 0.345976i | ||||
\(733\) | −29.9956 | + | 29.9956i | −1.10791 | + | 1.10791i | −0.114489 | + | 0.993424i | \(0.536523\pi\) |
−0.993424 | + | 0.114489i | \(0.963477\pi\) | |||||||
\(734\) | 1.25003 | + | 5.64618i | 0.0461396 | + | 0.208404i | ||||
\(735\) | 11.6107 | + | 7.78804i | 0.428268 | + | 0.287266i | ||||
\(736\) | 3.98937 | − | 7.63682i | 0.147050 | − | 0.281497i | ||||
\(737\) | −31.8217 | − | 31.8217i | −1.17217 | − | 1.17217i | ||||
\(738\) | 6.58641 | + | 4.19866i | 0.242449 | + | 0.154555i | ||||
\(739\) | 39.4719 | 1.45200 | 0.725999 | − | 0.687696i | \(-0.241378\pi\) | ||||
0.725999 | + | 0.687696i | \(0.241378\pi\) | |||||||
\(740\) | −11.0074 | − | 1.72077i | −0.404639 | − | 0.0632566i | ||||
\(741\) | 3.04623 | 0.111906 | ||||||||
\(742\) | 3.82951 | + | 2.44121i | 0.140586 | + | 0.0896196i | ||||
\(743\) | −12.2252 | − | 12.2252i | −0.448499 | − | 0.448499i | 0.446356 | − | 0.894855i | \(-0.352721\pi\) |
−0.894855 | + | 0.446356i | \(0.852721\pi\) | |||||||
\(744\) | 17.5387 | − | 13.4340i | 0.642999 | − | 0.492514i | ||||
\(745\) | −22.1955 | + | 4.37380i | −0.813182 | + | 0.160244i | ||||
\(746\) | 4.87859 | + | 22.0358i | 0.178618 | + | 0.806786i | ||||
\(747\) | 7.95665 | − | 7.95665i | 0.291118 | − | 0.291118i | ||||
\(748\) | −51.2595 | − | 18.6902i | −1.87423 | − | 0.683380i | ||||
\(749\) | − | 6.73887i | − | 0.246233i | ||||||
\(750\) | 11.3597 | + | 10.9980i | 0.414799 | + | 0.401591i | ||||
\(751\) | 28.9069i | 1.05483i | 0.849609 | + | 0.527413i | \(0.176838\pi\) | ||||
−0.849609 | + | 0.527413i | \(0.823162\pi\) | |||||||
\(752\) | 1.11902 | + | 12.9614i | 0.0408066 | + | 0.472652i | ||||
\(753\) | −12.1955 | + | 12.1955i | −0.444430 | + | 0.444430i | ||||
\(754\) | −2.97421 | + | 0.658473i | −0.108314 | + | 0.0239802i | ||||
\(755\) | 17.4126 | − | 3.43129i | 0.633710 | − | 0.124877i | ||||
\(756\) | −1.56768 | + | 0.729929i | −0.0570160 | + | 0.0265473i | ||||
\(757\) | −16.2018 | − | 16.2018i | −0.588864 | − | 0.588864i | 0.348459 | − | 0.937324i | \(-0.386705\pi\) |
−0.937324 | + | 0.348459i | \(0.886705\pi\) | |||||||
\(758\) | −11.7498 | + | 18.4318i | −0.426771 | + | 0.669474i | ||||
\(759\) | −7.81086 | −0.283516 | ||||||||
\(760\) | 0.485401 | + | 7.71833i | 0.0176073 | + | 0.279973i | ||||
\(761\) | −6.64641 | −0.240932 | −0.120466 | − | 0.992717i | \(-0.538439\pi\) | ||||
−0.120466 | + | 0.992717i | \(0.538439\pi\) | |||||||
\(762\) | 8.05348 | − | 12.6334i | 0.291747 | − | 0.457661i | ||||
\(763\) | −4.47353 | − | 4.47353i | −0.161953 | − | 0.161953i | ||||
\(764\) | 12.7736 | − | 5.94751i | 0.462131 | − | 0.215173i | ||||
\(765\) | 9.87859 | + | 6.62620i | 0.357161 | + | 0.239571i | ||||
\(766\) | −24.5187 | + | 5.42831i | −0.885898 | + | 0.196133i | ||||
\(767\) | −0.931222 | + | 0.931222i | −0.0336245 | + | 0.0336245i | ||||
\(768\) | −9.20720 | + | 13.0854i | −0.332236 | + | 0.472178i | ||||
\(769\) | 29.3449i | 1.05820i | 0.848559 | + | 0.529101i | \(0.177471\pi\) | ||||
−0.848559 | + | 0.529101i | \(0.822529\pi\) | |||||||
\(770\) | 5.62062 | + | 12.8459i | 0.202553 | + | 0.462935i | ||||
\(771\) | 21.2329i | 0.764686i | ||||||||
\(772\) | 30.5717 | + | 11.1470i | 1.10030 | + | 0.401189i | ||||
\(773\) | 37.5833 | − | 37.5833i | 1.35178 | − | 1.35178i | 0.468104 | − | 0.883674i | \(-0.344937\pi\) |
0.883674 | − | 0.468104i | \(-0.155063\pi\) | |||||||
\(774\) | 2.68264 | + | 12.1170i | 0.0964257 | + | 0.435538i | ||||
\(775\) | 14.8166 | + | 36.1346i | 0.532226 | + | 1.29799i | ||||
\(776\) | −1.93086 | − | 2.52082i | −0.0693137 | − | 0.0904921i | ||||
\(777\) | 1.52311 | + | 1.52311i | 0.0546414 | + | 0.0546414i | ||||
\(778\) | −6.15729 | − | 3.92510i | −0.220749 | − | 0.140722i | ||||
\(779\) | −6.75359 | −0.241973 | ||||||||
\(780\) | −9.00016 | + | 6.56662i | −0.322257 | + | 0.235123i | ||||
\(781\) | 41.5510 | 1.48681 | ||||||||
\(782\) | 9.66229 | + | 6.15945i | 0.345523 | + | 0.220261i | ||||
\(783\) | −0.611393 | − | 0.611393i | −0.0218494 | − | 0.0218494i | ||||
\(784\) | −19.1400 | − | 16.0978i | −0.683573 | − | 0.574920i | ||||
\(785\) | −15.8786 | + | 23.6724i | −0.566731 | + | 0.844905i | ||||
\(786\) | −4.27864 | − | 19.3259i | −0.152614 | − | 0.689331i | ||||
\(787\) | 7.59353 | − | 7.59353i | 0.270680 | − | 0.270680i | −0.558694 | − | 0.829374i | \(-0.688697\pi\) |
0.829374 | + | 0.558694i | \(0.188697\pi\) | |||||||
\(788\) | 7.63357 | − | 20.9358i | 0.271935 | − | 0.745806i | ||||
\(789\) | − | 9.52311i | − | 0.339032i | ||||||
\(790\) | 46.8629 | + | 18.3358i | 1.66731 | + | 0.652358i | ||||
\(791\) | 0.622595i | 0.0221369i | ||||||||
\(792\) | 14.3791 | + | 1.90560i | 0.510938 | + | 0.0677126i | ||||
\(793\) | 8.77551 | − | 8.77551i | 0.311628 | − | 0.311628i | ||||
\(794\) | −6.76212 | + | 1.49710i | −0.239979 | + | 0.0531300i | ||||
\(795\) | 1.60564 | + | 8.14807i | 0.0569462 | + | 0.288982i | ||||
\(796\) | 9.69075 | + | 20.8130i | 0.343479 | + | 0.737696i | ||||
\(797\) | 27.4908 | + | 27.4908i | 0.973775 | + | 0.973775i | 0.999665 | − | 0.0258893i | \(-0.00824175\pi\) |
−0.0258893 | + | 0.999665i | \(0.508242\pi\) | |||||||
\(798\) | 0.803735 | − | 1.26082i | 0.0284519 | − | 0.0446324i | ||||
\(799\) | −17.3016 | −0.612086 | ||||||||
\(800\) | −18.0722 | − | 21.7576i | −0.638949 | − | 0.769249i | ||||
\(801\) | 7.25240 | 0.256251 | ||||||||
\(802\) | 2.65705 | − | 4.16810i | 0.0938237 | − | 0.147181i | ||||
\(803\) | −11.5508 | − | 11.5508i | −0.407618 | − | 0.407618i | ||||
\(804\) | −7.40828 | − | 15.9109i | −0.261270 | − | 0.561133i | ||||
\(805\) | −0.569343 | − | 2.88922i | −0.0200667 | − | 0.101832i | ||||
\(806\) | −26.8680 | + | 5.94842i | −0.946384 | + | 0.209524i | ||||
\(807\) | 18.1760 | − | 18.1760i | 0.639824 | − | 0.639824i | ||||
\(808\) | 28.3673 | + | 3.75940i | 0.997957 | + | 0.132255i | ||||
\(809\) | − | 47.7205i | − | 1.67776i | −0.544313 | − | 0.838882i | \(-0.683209\pi\) | ||
0.544313 | − | 0.838882i | \(-0.316791\pi\) | |||||||
\(810\) | −2.94489 | − | 1.15223i | −0.103473 | − | 0.0404853i | ||||
\(811\) | − | 37.3179i | − | 1.31041i | −0.755451 | − | 0.655205i | \(-0.772582\pi\) | ||
0.755451 | − | 0.655205i | \(-0.227418\pi\) | |||||||
\(812\) | −0.512195 | + | 1.40474i | −0.0179745 | + | 0.0492968i | ||||
\(813\) | 0.658473 | − | 0.658473i | 0.0230937 | − | 0.0230937i | ||||
\(814\) | −3.90543 | − | 17.6402i | −0.136885 | − | 0.618287i | ||||
\(815\) | 23.0497 | − | 34.3634i | 0.807397 | − | 1.20370i | ||||
\(816\) | −16.2847 | − | 13.6963i | −0.570078 | − | 0.479465i | ||||
\(817\) | −7.58767 | − | 7.58767i | −0.265459 | − | 0.265459i | ||||
\(818\) | −17.6533 | − | 11.2535i | −0.617235 | − | 0.393470i | ||||
\(819\) | 2.15401 | 0.0752672 | ||||||||
\(820\) | 19.9536 | − | 14.5584i | 0.696812 | − | 0.508402i | ||||
\(821\) | −0.686380 | −0.0239548 | −0.0119774 | − | 0.999928i | \(-0.503813\pi\) | ||||
−0.0119774 | + | 0.999928i | \(0.503813\pi\) | |||||||
\(822\) | −11.8289 | − | 7.54057i | −0.412579 | − | 0.263008i | ||||
\(823\) | 27.2553 | + | 27.2553i | 0.950059 | + | 0.950059i | 0.998811 | − | 0.0487521i | \(-0.0155244\pi\) |
−0.0487521 | + | 0.998811i | \(0.515524\pi\) | |||||||
\(824\) | −9.29797 | − | 12.1389i | −0.323910 | − | 0.422879i | ||||
\(825\) | −9.89692 | + | 23.6541i | −0.344566 | + | 0.823530i | ||||
\(826\) | 0.139728 | + | 0.631126i | 0.00486175 | + | 0.0219597i | ||||
\(827\) | 31.4437 | − | 31.4437i | 1.09341 | − | 1.09341i | 0.0982432 | − | 0.995162i | \(-0.468678\pi\) |
0.995162 | − | 0.0982432i | \(-0.0313223\pi\) | |||||||
\(828\) | −2.86192 | − | 1.04351i | −0.0994587 | − | 0.0362645i | ||||
\(829\) | − | 0.270718i | − | 0.00940243i | −0.999989 | − | 0.00470122i | \(-0.998504\pi\) | ||
0.999989 | − | 0.00470122i | \(-0.00149645\pi\) | |||||||
\(830\) | −14.2635 | − | 32.5993i | −0.495095 | − | 1.13154i | ||||
\(831\) | 31.1978i | 1.08224i | ||||||||
\(832\) | 17.2767 | − | 9.93522i | 0.598964 | − | 0.344442i | ||||
\(833\) | 23.5187 | − | 23.5187i | 0.814876 | − | 0.814876i | ||||
\(834\) | 3.14826 | − | 0.697006i | 0.109015 | − | 0.0241354i | ||||
\(835\) | −29.7639 | − | 19.9645i | −1.03002 | − | 0.690900i | ||||
\(836\) | −11.3694 | + | 5.29373i | −0.393220 | + | 0.183088i | ||||
\(837\) | −5.52311 | − | 5.52311i | −0.190907 | − | 0.190907i | ||||
\(838\) | 14.4970 | − | 22.7414i | 0.500792 | − | 0.785589i | ||||
\(839\) | −31.0214 | −1.07098 | −0.535489 | − | 0.844542i | \(-0.679873\pi\) | ||||
−0.535489 | + | 0.844542i | \(0.679873\pi\) | |||||||
\(840\) | 0.343230 | + | 5.45769i | 0.0118426 | + | 0.188308i | ||||
\(841\) | 28.2524 | 0.974221 | ||||||||
\(842\) | −15.8147 | + | 24.8085i | −0.545011 | + | 0.854956i | ||||
\(843\) | −6.05944 | − | 6.05944i | −0.208698 | − | 0.208698i | ||||
\(844\) | 9.95634 | − | 4.63578i | 0.342711 | − | 0.159570i | ||||
\(845\) | −14.9048 | + | 2.93711i | −0.512742 | + | 0.101040i | ||||
\(846\) | 4.49084 | − | 0.994247i | 0.154398 | − | 0.0341829i | ||||
\(847\) | −9.35348 | + | 9.35348i | −0.321389 | + | 0.321389i | ||||
\(848\) | −1.27785 | − | 14.8010i | −0.0438814 | − | 0.508267i | ||||
\(849\) | 16.3632i | 0.561583i | ||||||||
\(850\) | 30.8958 | − | 21.4564i | 1.05972 | − | 0.735950i | ||||
\(851\) | 3.79441i | 0.130071i | ||||||||
\(852\) | 15.2244 | + | 5.55110i | 0.521580 | + | 0.190178i | ||||
\(853\) | 3.82611 | − | 3.82611i | 0.131003 | − | 0.131003i | −0.638565 | − | 0.769568i | \(-0.720472\pi\) |
0.769568 | + | 0.638565i | \(0.220472\pi\) | |||||||
\(854\) | −1.31675 | − | 5.94751i | −0.0450581 | − | 0.203520i | ||||
\(855\) | 2.68264 | − | 0.528636i | 0.0917445 | − | 0.0180790i | ||||
\(856\) | −17.5004 | + | 13.4047i | −0.598152 | + | 0.458163i | ||||
\(857\) | 20.7711 | + | 20.7711i | 0.709529 | + | 0.709529i | 0.966436 | − | 0.256907i | \(-0.0827035\pi\) |
−0.256907 | + | 0.966436i | \(0.582704\pi\) | |||||||
\(858\) | −15.2350 | − | 9.71191i | −0.520115 | − | 0.331559i | ||||
\(859\) | −1.69693 | −0.0578985 | −0.0289492 | − | 0.999581i | \(-0.509216\pi\) | ||||
−0.0289492 | + | 0.999581i | \(0.509216\pi\) | |||||||
\(860\) | 38.7743 | + | 6.06153i | 1.32219 | + | 0.206697i | ||||
\(861\) | −4.77551 | −0.162749 | ||||||||
\(862\) | −18.2815 | − | 11.6540i | −0.622670 | − | 0.396935i | ||||
\(863\) | −5.92869 | − | 5.92869i | −0.201815 | − | 0.201815i | 0.598962 | − | 0.800777i | \(-0.295580\pi\) |
−0.800777 | + | 0.598962i | \(0.795580\pi\) | |||||||
\(864\) | 5.01395 | + | 2.61922i | 0.170578 | + | 0.0891077i | ||||
\(865\) | 20.9248 | + | 14.0356i | 0.711465 | + | 0.477225i | ||||
\(866\) | −7.03831 | − | 31.7908i | −0.239171 | − | 1.08030i | ||||
\(867\) | 7.98933 | − | 7.98933i | 0.271332 | − | 0.271332i | ||||
\(868\) | −4.62699 | + | 12.6900i | −0.157050 | + | 0.430725i | ||||
\(869\) | 81.6068i | 2.76832i | ||||||||
\(870\) | −2.50495 | + | 1.09602i | −0.0849258 | + | 0.0371585i | ||||
\(871\) | 21.8617i | 0.740756i | ||||||||
\(872\) | −2.71891 | + | 20.5161i | −0.0920740 | + | 0.694762i | ||||
\(873\) | −0.793833 | + | 0.793833i | −0.0268672 | + | 0.0268672i | ||||
\(874\) | 2.57162 | − | 0.569343i | 0.0869865 | − | 0.0192583i | ||||
\(875\) | −9.47100 | − | 1.93667i | −0.320178 | − | 0.0654714i | ||||
\(876\) | −2.68909 | − | 5.77539i | −0.0908558 | − | 0.195132i | ||||
\(877\) | −10.0323 | − | 10.0323i | −0.338766 | − | 0.338766i | 0.517137 | − | 0.855903i | \(-0.326998\pi\) |
−0.855903 | + | 0.517137i | \(0.826998\pi\) | |||||||
\(878\) | −18.7430 | + | 29.4020i | −0.632544 | + | 0.992269i | ||||
\(879\) | −18.2390 | −0.615186 | ||||||||
\(880\) | 22.1798 | − | 40.1491i | 0.747680 | − | 1.35342i | ||||
\(881\) | −29.8130 | −1.00443 | −0.502213 | − | 0.864744i | \(-0.667481\pi\) | ||||
−0.502213 | + | 0.864744i | \(0.667481\pi\) | |||||||
\(882\) | −4.75306 | + | 7.45610i | −0.160044 | + | 0.251060i | ||||
\(883\) | 5.56557 | + | 5.56557i | 0.187296 | + | 0.187296i | 0.794526 | − | 0.607230i | \(-0.207719\pi\) |
−0.607230 | + | 0.794526i | \(0.707719\pi\) | |||||||
\(884\) | 11.1877 | + | 24.0279i | 0.376282 | + | 0.808146i | ||||
\(885\) | −0.658473 | + | 0.981678i | −0.0221343 | + | 0.0329987i | ||||
\(886\) | −3.45856 | + | 0.765707i | −0.116193 | + | 0.0257244i | ||||
\(887\) | −8.59630 | + | 8.59630i | −0.288636 | + | 0.288636i | −0.836541 | − | 0.547905i | \(-0.815426\pi\) |
0.547905 | + | 0.836541i | \(0.315426\pi\) | |||||||
\(888\) | 0.925715 | − | 6.98516i | 0.0310649 | − | 0.234406i | ||||
\(889\) | 9.15994i | 0.307214i | ||||||||
\(890\) | 8.35643 | − | 21.3575i | 0.280108 | − | 0.715905i | ||||
\(891\) | − | 5.12822i | − | 0.171802i | ||||||
\(892\) | 10.5298 | − | 28.8791i | 0.352565 | − | 0.966943i | ||||
\(893\) | −2.81215 | + | 2.81215i | −0.0941052 | + | 0.0941052i | ||||
\(894\) | −3.09275 | − | 13.9694i | −0.103437 | − | 0.467206i | ||||
\(895\) | −5.46778 | − | 27.7471i | −0.182768 | − | 0.927483i | ||||
\(896\) | 0.446274 | − | 9.77211i | 0.0149090 | − | 0.326463i | ||||
\(897\) | 2.68305 | + | 2.68305i | 0.0895845 | + | 0.0895845i | ||||
\(898\) | −39.5334 | − | 25.2015i | −1.31925 | − | 0.840984i | ||||
\(899\) | −6.75359 | −0.225245 | ||||||||
\(900\) | −6.78638 | + | 7.34473i | −0.226213 | + | 0.244824i | ||||
\(901\) | 19.7572 | 0.658207 | ||||||||
\(902\) | 33.7766 | + | 21.5316i | 1.12464 | + | 0.716925i | ||||
\(903\) | −5.36529 | − | 5.36529i | −0.178546 | − | 0.178546i | ||||
\(904\) | 1.61684 | − | 1.23844i | 0.0537754 | − | 0.0411900i | ||||
\(905\) | 3.34153 | + | 16.9571i | 0.111076 | + | 0.563673i | ||||
\(906\) | 2.42629 | + | 10.9591i | 0.0806080 | + | 0.364092i | ||||
\(907\) | −31.6263 | + | 31.6263i | −1.05013 | + | 1.05013i | −0.0514592 | + | 0.998675i | \(0.516387\pi\) |
−0.998675 | + | 0.0514592i | \(0.983613\pi\) | |||||||
\(908\) | 13.2398 | + | 4.82748i | 0.439379 | + | 0.160206i | ||||
\(909\) | − | 10.1170i | − | 0.335561i | ||||||
\(910\) | 2.48192 | − | 6.34331i | 0.0822747 | − | 0.210279i | ||||
\(911\) | 42.2656i | 1.40032i | 0.713985 | + | 0.700161i | \(0.246888\pi\) | ||||
−0.713985 | + | 0.700161i | \(0.753112\pi\) | |||||||
\(912\) | −4.87302 | + | 0.420714i | −0.161362 | + | 0.0139312i | ||||
\(913\) | 40.8034 | − | 40.8034i | 1.35040 | − | 1.35040i | ||||
\(914\) | −14.6547 | + | 3.24448i | −0.484735 | + | 0.107318i | ||||
\(915\) | 6.20522 | − | 9.25099i | 0.205138 | − | 0.305828i | ||||
\(916\) | −46.7003 | + | 21.7442i | −1.54302 | + | 0.718448i | ||||
\(917\) | 8.55728 | + | 8.55728i | 0.282586 | + | 0.282586i | ||||
\(918\) | −4.04398 | + | 6.34377i | −0.133471 | + | 0.209376i | ||||
\(919\) | 31.2829 | 1.03193 | 0.515964 | − | 0.856610i | \(-0.327434\pi\) | ||||
0.515964 | + | 0.856610i | \(0.327434\pi\) | |||||||
\(920\) | −6.37061 | + | 7.22567i | −0.210033 | + | 0.238223i | ||||
\(921\) | 2.27072 | 0.0748227 | ||||||||
\(922\) | −20.5418 | + | 32.2238i | −0.676508 | + | 1.06123i | ||||
\(923\) | −14.2729 | − | 14.2729i | −0.469798 | − | 0.469798i | ||||
\(924\) | −8.03940 | + | 3.74324i | −0.264477 | + | 0.123143i | ||||
\(925\) | 11.4908 | + | 4.80779i | 0.377816 | + | 0.158079i | ||||
\(926\) | −54.1143 | + | 11.9806i | −1.77831 | + | 0.393707i | ||||
\(927\) | −3.82267 | + | 3.82267i | −0.125553 | + | 0.125553i | ||||
\(928\) | 4.66687 | − | 1.46412i | 0.153198 | − | 0.0480621i | ||||
\(929\) | 22.1050i | 0.725241i | 0.931937 | + | 0.362620i | \(0.118118\pi\) | ||||
−0.931937 | + | 0.362620i | \(0.881882\pi\) | |||||||
\(930\) | −22.6289 | + | 9.90105i | −0.742029 | + | 0.324668i | ||||
\(931\) | − | 7.64535i | − | 0.250566i | ||||||
\(932\) | 1.90084 | + | 0.693082i | 0.0622641 | + | 0.0227026i | ||||
\(933\) | −13.7293 | + | 13.7293i | −0.449477 | + | 0.449477i | ||||
\(934\) | −0.868197 | − | 3.92150i | −0.0284083 | − | 0.128315i | ||||
\(935\) | 50.6596 | + | 33.9806i | 1.65675 | + | 1.11128i | ||||
\(936\) | −4.28467 | − | 5.59383i | −0.140049 | − | 0.182840i | ||||
\(937\) | −15.2986 | − | 15.2986i | −0.499784 | − | 0.499784i | 0.411586 | − | 0.911371i | \(-0.364975\pi\) |
−0.911371 | + | 0.411586i | \(0.864975\pi\) | |||||||
\(938\) | 9.04843 | + | 5.76813i | 0.295442 | + | 0.188336i | ||||
\(939\) | −25.0471 | −0.817381 | ||||||||
\(940\) | 2.24654 | − | 14.3706i | 0.0732740 | − | 0.468718i | ||||
\(941\) | 25.5264 | 0.832138 | 0.416069 | − | 0.909333i | \(-0.363407\pi\) | ||||
0.416069 | + | 0.909333i | \(0.363407\pi\) | |||||||
\(942\) | −15.2018 | − | 9.69074i | −0.495302 | − | 0.315741i | ||||
\(943\) | −5.94842 | − | 5.94842i | −0.193707 | − | 0.193707i | ||||
\(944\) | 1.36106 | − | 1.61828i | 0.0442986 | − | 0.0526704i | ||||
\(945\) | 1.89692 | − | 0.373802i | 0.0617067 | − | 0.0121598i | ||||
\(946\) | 13.7572 | + | 62.1388i | 0.447285 | + | 2.02031i | ||||
\(947\) | −11.9881 | + | 11.9881i | −0.389562 | + | 0.389562i | −0.874531 | − | 0.484969i | \(-0.838831\pi\) |
0.484969 | + | 0.874531i | \(0.338831\pi\) | |||||||
\(948\) | −10.9024 | + | 29.9010i | −0.354095 | + | 0.971138i | ||||
\(949\) | 7.93545i | 0.257596i | ||||||||
\(950\) | 1.53425 | − | 8.50920i | 0.0497777 | − | 0.276075i | ||||
\(951\) | 11.0160i | 0.357217i | ||||||||
\(952\) | 12.8968 | + | 1.70916i | 0.417988 | + | 0.0553943i | ||||
\(953\) | 5.99563 | − | 5.99563i | 0.194218 | − | 0.194218i | −0.603298 | − | 0.797516i | \(-0.706147\pi\) |
0.797516 | + | 0.603298i | \(0.206147\pi\) | |||||||
\(954\) | −5.12822 | + | 1.13536i | −0.166032 | + | 0.0367586i | ||||
\(955\) | −15.4562 | + | 3.04577i | −0.500151 | + | 0.0985586i | ||||
\(956\) | −22.7389 | − | 48.8366i | −0.735427 | − | 1.57949i | ||||
\(957\) | −3.13536 | − | 3.13536i | −0.101352 | − | 0.101352i | ||||
\(958\) | 10.4598 | − | 16.4082i | 0.337940 | − | 0.530125i | ||||
\(959\) | 8.57657 | 0.276952 | ||||||||
\(960\) | 13.4905 | − | 11.7476i | 0.435405 | − | 0.379151i | ||||
\(961\) | −30.0096 | −0.968051 | ||||||||
\(962\) | −4.71791 | + | 7.40097i | −0.152112 | + | 0.238617i | ||||
\(963\) | 5.51107 | + | 5.51107i | 0.177592 | + | 0.177592i | ||||
\(964\) | −11.8968 | − | 25.5510i | −0.383171 | − | 0.822943i | ||||
\(965\) | −30.2139 | − | 20.2663i | −0.972619 | − | 0.652397i | ||||
\(966\) | 1.81841 | − | 0.402586i | 0.0585065 | − | 0.0129530i | ||||
\(967\) | 1.66866 | − | 1.66866i | 0.0536606 | − | 0.0536606i | −0.679767 | − | 0.733428i | \(-0.737919\pi\) |
0.733428 | + | 0.679767i | \(0.237919\pi\) | |||||||
\(968\) | 42.8960 | + | 5.68483i | 1.37873 | + | 0.182717i | ||||
\(969\) | − | 6.50479i | − | 0.208964i | ||||||
\(970\) | 1.42307 | + | 3.25243i | 0.0456920 | + | 0.104429i | ||||
\(971\) | − | 4.79719i | − | 0.153949i | −0.997033 | − | 0.0769745i | \(-0.975474\pi\) | ||
0.997033 | − | 0.0769745i | \(-0.0245260\pi\) | |||||||
\(972\) | 0.685116 | − | 1.87899i | 0.0219751 | − | 0.0602687i | ||||
\(973\) | −1.39401 | + | 1.39401i | −0.0446900 | + | 0.0446900i | ||||
\(974\) | −10.5208 | − | 47.5204i | −0.337107 | − | 1.52265i | ||||
\(975\) | 11.5249 | − | 4.72563i | 0.369091 | − | 0.151341i | ||||
\(976\) | −12.8261 | + | 15.2501i | −0.410554 | + | 0.488143i | ||||
\(977\) | −25.0140 | − | 25.0140i | −0.800267 | − | 0.800267i | 0.182870 | − | 0.983137i | \(-0.441461\pi\) |
−0.983137 | + | 0.182870i | \(0.941461\pi\) | |||||||
\(978\) | 22.0673 | + | 14.0673i | 0.705634 | + | 0.449823i | ||||
\(979\) | 37.1919 | 1.18866 | ||||||||
\(980\) | 16.4807 | + | 22.5884i | 0.526458 | + | 0.721559i | ||||
\(981\) | 7.31695 | 0.233612 | ||||||||
\(982\) | 34.4540 | + | 21.9635i | 1.09947 | + | 0.700884i | ||||
\(983\) | 30.9151 | + | 30.9151i | 0.986038 | + | 0.986038i | 0.999904 | − | 0.0138655i | \(-0.00441368\pi\) |
−0.0138655 | + | 0.999904i | \(0.504414\pi\) | |||||||
\(984\) | 9.49926 | + | 12.4017i | 0.302825 | + | 0.395352i | ||||
\(985\) | −13.8786 | + | 20.6907i | −0.442209 | + | 0.659262i | ||||
\(986\) | 1.40608 | + | 6.35101i | 0.0447786 | + | 0.202257i | ||||
\(987\) | −1.98849 | + | 1.98849i | −0.0632945 | + | 0.0632945i | ||||
\(988\) | 5.72384 | + | 2.08702i | 0.182100 | + | 0.0663969i | ||||
\(989\) | − | 13.3661i | − | 0.425017i | ||||||
\(990\) | −15.1020 | − | 5.90889i | −0.479974 | − | 0.187797i | ||||
\(991\) | 26.5873i | 0.844575i | 0.906462 | + | 0.422287i | \(0.138773\pi\) | ||||
−0.906462 | + | 0.422287i | \(0.861227\pi\) | |||||||
\(992\) | 42.1589 | − | 13.2264i | 1.33855 | − | 0.419937i | ||||
\(993\) | 22.4157 | − | 22.4157i | 0.711340 | − | 0.711340i | ||||
\(994\) | −9.67331 | + | 2.14162i | −0.306819 | + | 0.0679280i | ||||
\(995\) | −4.96270 | − | 25.1840i | −0.157328 | − | 0.798387i | ||||
\(996\) | 20.4017 | − | 9.49926i | 0.646453 | − | 0.300996i | ||||
\(997\) | −2.47252 | − | 2.47252i | −0.0783054 | − | 0.0783054i | 0.666869 | − | 0.745175i | \(-0.267634\pi\) |
−0.745175 | + | 0.666869i | \(0.767634\pi\) | |||||||
\(998\) | 9.53021 | − | 14.9500i | 0.301674 | − | 0.473234i | ||||
\(999\) | −2.49122 | −0.0788187 |
(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 | 60.2.j.a.7.5 | yes | 12 | |
3.2 | odd | 2 | 180.2.k.e.127.2 | 12 | |||
4.3 | odd | 2 | inner | 60.2.j.a.7.2 | ✓ | 12 | |
5.2 | odd | 4 | 300.2.j.d.43.5 | 12 | |||
5.3 | odd | 4 | inner | 60.2.j.a.43.2 | yes | 12 | |
5.4 | even | 2 | 300.2.j.d.7.2 | 12 | |||
8.3 | odd | 2 | 960.2.w.g.127.2 | 12 | |||
8.5 | even | 2 | 960.2.w.g.127.5 | 12 | |||
12.11 | even | 2 | 180.2.k.e.127.5 | 12 | |||
15.2 | even | 4 | 900.2.k.n.343.2 | 12 | |||
15.8 | even | 4 | 180.2.k.e.163.5 | 12 | |||
15.14 | odd | 2 | 900.2.k.n.307.5 | 12 | |||
20.3 | even | 4 | inner | 60.2.j.a.43.5 | yes | 12 | |
20.7 | even | 4 | 300.2.j.d.43.2 | 12 | |||
20.19 | odd | 2 | 300.2.j.d.7.5 | 12 | |||
40.3 | even | 4 | 960.2.w.g.703.5 | 12 | |||
40.13 | odd | 4 | 960.2.w.g.703.2 | 12 | |||
60.23 | odd | 4 | 180.2.k.e.163.2 | 12 | |||
60.47 | odd | 4 | 900.2.k.n.343.5 | 12 | |||
60.59 | even | 2 | 900.2.k.n.307.2 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
60.2.j.a.7.2 | ✓ | 12 | 4.3 | odd | 2 | inner | |
60.2.j.a.7.5 | yes | 12 | 1.1 | even | 1 | trivial | |
60.2.j.a.43.2 | yes | 12 | 5.3 | odd | 4 | inner | |
60.2.j.a.43.5 | yes | 12 | 20.3 | even | 4 | inner | |
180.2.k.e.127.2 | 12 | 3.2 | odd | 2 | |||
180.2.k.e.127.5 | 12 | 12.11 | even | 2 | |||
180.2.k.e.163.2 | 12 | 60.23 | odd | 4 | |||
180.2.k.e.163.5 | 12 | 15.8 | even | 4 | |||
300.2.j.d.7.2 | 12 | 5.4 | even | 2 | |||
300.2.j.d.7.5 | 12 | 20.19 | odd | 2 | |||
300.2.j.d.43.2 | 12 | 20.7 | even | 4 | |||
300.2.j.d.43.5 | 12 | 5.2 | odd | 4 | |||
900.2.k.n.307.2 | 12 | 60.59 | even | 2 | |||
900.2.k.n.307.5 | 12 | 15.14 | odd | 2 | |||
900.2.k.n.343.2 | 12 | 15.2 | even | 4 | |||
900.2.k.n.343.5 | 12 | 60.47 | odd | 4 | |||
960.2.w.g.127.2 | 12 | 8.3 | odd | 2 | |||
960.2.w.g.127.5 | 12 | 8.5 | even | 2 | |||
960.2.w.g.703.2 | 12 | 40.13 | odd | 4 | |||
960.2.w.g.703.5 | 12 | 40.3 | even | 4 |