Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(43,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.u (of order \(9\), degree \(6\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | 12.0.1952986685049.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 6 x^{11} + 27 x^{10} - 80 x^{9} + 186 x^{8} - 330 x^{7} + 463 x^{6} - 504 x^{5} + 420 x^{4} - 258 x^{3} + 108 x^{2} - 27 x + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 337.1 | ||
Root | \(0.500000 + 1.68614i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.337 |
Dual form | 378.2.u.b.295.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.173648 | + | 0.984808i | 0.122788 | + | 0.696364i | ||||
\(3\) | −0.390623 | + | 1.68743i | −0.225526 | + | 0.974237i | ||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | 0.393151 | + | 0.329893i | 0.175822 | + | 0.147533i | 0.726452 | − | 0.687217i | \(-0.241168\pi\) |
−0.550630 | + | 0.834750i | \(0.685612\pi\) | |||||||
\(6\) | −1.72962 | − | 0.0916693i | −0.706116 | − | 0.0374238i | ||||
\(7\) | −0.939693 | − | 0.342020i | −0.355170 | − | 0.129271i | ||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | −2.69483 | − | 1.31830i | −0.898276 | − | 0.439432i | ||||
\(10\) | −0.256611 | + | 0.444463i | −0.0811475 | + | 0.140552i | ||||
\(11\) | −2.36944 | + | 1.98820i | −0.714413 | + | 0.599464i | −0.925834 | − | 0.377932i | \(-0.876635\pi\) |
0.211421 | + | 0.977395i | \(0.432191\pi\) | |||||||
\(12\) | −0.210069 | − | 1.71926i | −0.0606418 | − | 0.496309i | ||||
\(13\) | −0.932962 | + | 5.29109i | −0.258757 | + | 1.46748i | 0.527484 | + | 0.849565i | \(0.323135\pi\) |
−0.786241 | + | 0.617920i | \(0.787976\pi\) | |||||||
\(14\) | 0.173648 | − | 0.984808i | 0.0464094 | − | 0.263201i | ||||
\(15\) | −0.710244 | + | 0.534550i | −0.183384 | + | 0.138020i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | −2.52734 | + | 4.37748i | −0.612969 | + | 1.06169i | 0.377768 | + | 0.925900i | \(0.376692\pi\) |
−0.990737 | + | 0.135794i | \(0.956642\pi\) | |||||||
\(18\) | 0.830315 | − | 2.88281i | 0.195707 | − | 0.679484i | ||||
\(19\) | −2.98025 | − | 5.16195i | −0.683717 | − | 1.18423i | −0.973838 | − | 0.227242i | \(-0.927029\pi\) |
0.290122 | − | 0.956990i | \(-0.406304\pi\) | |||||||
\(20\) | −0.482271 | − | 0.175532i | −0.107839 | − | 0.0392502i | ||||
\(21\) | 0.944200 | − | 1.45206i | 0.206041 | − | 0.316866i | ||||
\(22\) | −2.36944 | − | 1.98820i | −0.505166 | − | 0.423885i | ||||
\(23\) | 4.07388 | − | 1.48277i | 0.849462 | − | 0.309179i | 0.119641 | − | 0.992817i | \(-0.461826\pi\) |
0.729821 | + | 0.683638i | \(0.239603\pi\) | |||||||
\(24\) | 1.65667 | − | 0.505425i | 0.338166 | − | 0.103169i | ||||
\(25\) | −0.822502 | − | 4.66464i | −0.164500 | − | 0.932929i | ||||
\(26\) | −5.37272 | −1.05368 | ||||||||
\(27\) | 3.27719 | − | 4.03237i | 0.630695 | − | 0.776031i | ||||
\(28\) | 1.00000 | 0.188982 | ||||||||
\(29\) | 0.663702 | + | 3.76404i | 0.123246 | + | 0.698965i | 0.982334 | + | 0.187136i | \(0.0599207\pi\) |
−0.859088 | + | 0.511829i | \(0.828968\pi\) | |||||||
\(30\) | −0.649762 | − | 0.606630i | −0.118630 | − | 0.110755i | ||||
\(31\) | 7.88809 | − | 2.87103i | 1.41674 | − | 0.515652i | 0.483642 | − | 0.875266i | \(-0.339314\pi\) |
0.933101 | + | 0.359614i | \(0.117092\pi\) | |||||||
\(32\) | 0.766044 | + | 0.642788i | 0.135419 | + | 0.113630i | ||||
\(33\) | −2.42938 | − | 4.77489i | −0.422901 | − | 0.831202i | ||||
\(34\) | −4.74984 | − | 1.72880i | −0.814591 | − | 0.296487i | ||||
\(35\) | −0.256611 | − | 0.444463i | −0.0433752 | − | 0.0751280i | ||||
\(36\) | 2.98319 | + | 0.317107i | 0.497199 | + | 0.0528511i | ||||
\(37\) | −3.24546 | + | 5.62131i | −0.533551 | + | 0.924137i | 0.465681 | + | 0.884953i | \(0.345809\pi\) |
−0.999232 | + | 0.0391846i | \(0.987524\pi\) | |||||||
\(38\) | 4.56601 | − | 3.83134i | 0.740705 | − | 0.621525i | ||||
\(39\) | −8.56390 | − | 3.64113i | −1.37132 | − | 0.583047i | ||||
\(40\) | 0.0891201 | − | 0.505425i | 0.0140911 | − | 0.0799147i | ||||
\(41\) | −1.73466 | + | 9.83777i | −0.270909 | + | 1.53640i | 0.480755 | + | 0.876855i | \(0.340363\pi\) |
−0.751664 | + | 0.659546i | \(0.770748\pi\) | |||||||
\(42\) | 1.59396 | + | 0.677707i | 0.245954 | + | 0.104572i | ||||
\(43\) | −5.49764 | + | 4.61307i | −0.838383 | + | 0.703487i | −0.957199 | − | 0.289430i | \(-0.906534\pi\) |
0.118817 | + | 0.992916i | \(0.462090\pi\) | |||||||
\(44\) | 1.54654 | − | 2.67869i | 0.233150 | − | 0.403828i | ||||
\(45\) | −0.624578 | − | 1.40729i | −0.0931066 | − | 0.209787i | ||||
\(46\) | 2.16767 | + | 3.75451i | 0.319605 | + | 0.553572i | ||||
\(47\) | 12.7397 | + | 4.63687i | 1.85828 | + | 0.676357i | 0.980256 | + | 0.197734i | \(0.0633583\pi\) |
0.878021 | + | 0.478623i | \(0.158864\pi\) | |||||||
\(48\) | 0.785424 | + | 1.54373i | 0.113366 | + | 0.222819i | ||||
\(49\) | 0.766044 | + | 0.642788i | 0.109435 | + | 0.0918268i | ||||
\(50\) | 4.45095 | − | 1.62001i | 0.629460 | − | 0.229105i | ||||
\(51\) | −6.39944 | − | 5.97464i | −0.896101 | − | 0.836617i | ||||
\(52\) | −0.932962 | − | 5.29109i | −0.129379 | − | 0.733742i | ||||
\(53\) | −2.76100 | −0.379253 | −0.189627 | − | 0.981856i | \(-0.560728\pi\) | ||||
−0.189627 | + | 0.981856i | \(0.560728\pi\) | |||||||
\(54\) | 4.54019 | + | 2.52719i | 0.617842 | + | 0.343907i | ||||
\(55\) | −1.58744 | −0.214050 | ||||||||
\(56\) | 0.173648 | + | 0.984808i | 0.0232047 | + | 0.131600i | ||||
\(57\) | 9.87457 | − | 3.01259i | 1.30792 | − | 0.399027i | ||||
\(58\) | −3.59161 | + | 1.30724i | −0.471601 | + | 0.171649i | ||||
\(59\) | 4.66659 | + | 3.91573i | 0.607538 | + | 0.509785i | 0.893859 | − | 0.448349i | \(-0.147988\pi\) |
−0.286321 | + | 0.958134i | \(0.592432\pi\) | |||||||
\(60\) | 0.484584 | − | 0.745231i | 0.0625595 | − | 0.0962089i | ||||
\(61\) | −5.17672 | − | 1.88417i | −0.662812 | − | 0.241244i | −0.0113618 | − | 0.999935i | \(-0.503617\pi\) |
−0.651450 | + | 0.758692i | \(0.725839\pi\) | |||||||
\(62\) | 4.19717 | + | 7.26970i | 0.533041 | + | 0.923253i | ||||
\(63\) | 2.08143 | + | 2.16048i | 0.262235 | + | 0.272195i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −2.11229 | + | 1.77242i | −0.261997 | + | 0.219842i | ||||
\(66\) | 4.28049 | − | 3.22162i | 0.526892 | − | 0.396555i | ||||
\(67\) | 0.300081 | − | 1.70184i | 0.0366607 | − | 0.207913i | −0.960975 | − | 0.276635i | \(-0.910781\pi\) |
0.997636 | + | 0.0687214i | \(0.0218920\pi\) | |||||||
\(68\) | 0.877735 | − | 4.97788i | 0.106441 | − | 0.603657i | ||||
\(69\) | 0.910720 | + | 7.45358i | 0.109638 | + | 0.897306i | ||||
\(70\) | 0.393151 | − | 0.329893i | 0.0469905 | − | 0.0394297i | ||||
\(71\) | −1.26583 | + | 2.19248i | −0.150226 | + | 0.260200i | −0.931311 | − | 0.364226i | \(-0.881334\pi\) |
0.781084 | + | 0.624426i | \(0.214667\pi\) | |||||||
\(72\) | 0.205737 | + | 2.99294i | 0.0242463 | + | 0.352721i | ||||
\(73\) | 4.87689 | + | 8.44701i | 0.570796 | + | 0.988648i | 0.996484 | + | 0.0837783i | \(0.0266987\pi\) |
−0.425688 | + | 0.904870i | \(0.639968\pi\) | |||||||
\(74\) | −6.09948 | − | 2.22003i | −0.709050 | − | 0.258073i | ||||
\(75\) | 8.19254 | + | 0.434201i | 0.945993 | + | 0.0501372i | ||||
\(76\) | 4.56601 | + | 3.83134i | 0.523757 | + | 0.439485i | ||||
\(77\) | 2.90655 | − | 1.05790i | 0.331232 | − | 0.120559i | ||||
\(78\) | 2.09870 | − | 9.06607i | 0.237631 | − | 1.02653i | ||||
\(79\) | −1.55175 | − | 8.80041i | −0.174586 | − | 0.990124i | −0.938621 | − | 0.344950i | \(-0.887896\pi\) |
0.764036 | − | 0.645174i | \(-0.223215\pi\) | |||||||
\(80\) | 0.513222 | 0.0573800 | ||||||||
\(81\) | 5.52420 | + | 7.10516i | 0.613800 | + | 0.789462i | ||||
\(82\) | −9.98953 | −1.10316 | ||||||||
\(83\) | 1.50665 | + | 8.54461i | 0.165376 | + | 0.937893i | 0.948676 | + | 0.316249i | \(0.102424\pi\) |
−0.783300 | + | 0.621643i | \(0.786465\pi\) | |||||||
\(84\) | −0.390623 | + | 1.68743i | −0.0426204 | + | 0.184114i | ||||
\(85\) | −2.43772 | + | 0.887259i | −0.264408 | + | 0.0962367i | ||||
\(86\) | −5.49764 | − | 4.61307i | −0.592826 | − | 0.497440i | ||||
\(87\) | −6.61081 | − | 0.350370i | −0.708753 | − | 0.0375636i | ||||
\(88\) | 2.90655 | + | 1.05790i | 0.309839 | + | 0.112772i | ||||
\(89\) | −0.964307 | − | 1.67023i | −0.102216 | − | 0.177044i | 0.810381 | − | 0.585903i | \(-0.199260\pi\) |
−0.912597 | + | 0.408859i | \(0.865927\pi\) | |||||||
\(90\) | 1.27746 | − | 0.859463i | 0.134656 | − | 0.0905954i | ||||
\(91\) | 2.68636 | − | 4.65291i | 0.281607 | − | 0.487757i | ||||
\(92\) | −3.32106 | + | 2.78670i | −0.346244 | + | 0.290533i | ||||
\(93\) | 1.76339 | + | 14.4321i | 0.182855 | + | 1.49654i | ||||
\(94\) | −2.35420 | + | 13.3513i | −0.242817 | + | 1.37709i | ||||
\(95\) | 0.531201 | − | 3.01259i | 0.0545000 | − | 0.309085i | ||||
\(96\) | −1.38389 | + | 1.04156i | −0.141243 | + | 0.106304i | ||||
\(97\) | 11.3975 | − | 9.56361i | 1.15724 | − | 0.971038i | 0.157374 | − | 0.987539i | \(-0.449697\pi\) |
0.999864 | + | 0.0165013i | \(0.00525278\pi\) | |||||||
\(98\) | −0.500000 | + | 0.866025i | −0.0505076 | + | 0.0874818i | ||||
\(99\) | 9.00626 | − | 2.23423i | 0.905163 | − | 0.224548i | ||||
\(100\) | 2.36830 | + | 4.10202i | 0.236830 | + | 0.410202i | ||||
\(101\) | 5.76899 | + | 2.09974i | 0.574036 | + | 0.208932i | 0.612694 | − | 0.790320i | \(-0.290086\pi\) |
−0.0386575 | + | 0.999253i | \(0.512308\pi\) | |||||||
\(102\) | 4.77262 | − | 7.33971i | 0.472560 | − | 0.726739i | ||||
\(103\) | −2.42271 | − | 2.03290i | −0.238717 | − | 0.200307i | 0.515579 | − | 0.856842i | \(-0.327577\pi\) |
−0.754296 | + | 0.656535i | \(0.772021\pi\) | |||||||
\(104\) | 5.04870 | − | 1.83758i | 0.495066 | − | 0.180189i | ||||
\(105\) | 0.850238 | − | 0.259395i | 0.0829747 | − | 0.0253144i | ||||
\(106\) | −0.479443 | − | 2.71906i | −0.0465677 | − | 0.264098i | ||||
\(107\) | −10.2826 | −0.994053 | −0.497027 | − | 0.867735i | \(-0.665575\pi\) | ||||
−0.497027 | + | 0.867735i | \(0.665575\pi\) | |||||||
\(108\) | −1.70040 | + | 4.91006i | −0.163621 | + | 0.472470i | ||||
\(109\) | −13.2045 | −1.26476 | −0.632382 | − | 0.774657i | \(-0.717922\pi\) | ||||
−0.632382 | + | 0.774657i | \(0.717922\pi\) | |||||||
\(110\) | −0.275656 | − | 1.56332i | −0.0262828 | − | 0.149057i | ||||
\(111\) | −8.21780 | − | 7.67230i | −0.779999 | − | 0.728222i | ||||
\(112\) | −0.939693 | + | 0.342020i | −0.0887926 | + | 0.0323179i | ||||
\(113\) | 12.2719 | + | 10.2973i | 1.15444 | + | 0.968691i | 0.999814 | − | 0.0192821i | \(-0.00613805\pi\) |
0.154627 | + | 0.987973i | \(0.450582\pi\) | |||||||
\(114\) | 4.68152 | + | 9.20142i | 0.438465 | + | 0.861792i | ||||
\(115\) | 2.09080 | + | 0.760991i | 0.194969 | + | 0.0709627i | ||||
\(116\) | −1.91105 | − | 3.31004i | −0.177437 | − | 0.307330i | ||||
\(117\) | 9.48939 | − | 13.0287i | 0.877295 | − | 1.20450i | ||||
\(118\) | −3.04590 | + | 5.27565i | −0.280398 | + | 0.485663i | ||||
\(119\) | 3.87211 | − | 3.24908i | 0.354955 | − | 0.297843i | ||||
\(120\) | 0.818056 | + | 0.347814i | 0.0746780 | + | 0.0317509i | ||||
\(121\) | −0.248809 | + | 1.41107i | −0.0226190 | + | 0.128279i | ||||
\(122\) | 0.956620 | − | 5.42526i | 0.0866083 | − | 0.491180i | ||||
\(123\) | −15.9229 | − | 6.76997i | −1.43572 | − | 0.610428i | ||||
\(124\) | −6.43043 | + | 5.39577i | −0.577470 | + | 0.484555i | ||||
\(125\) | 2.49852 | − | 4.32756i | 0.223474 | − | 0.387069i | ||||
\(126\) | −1.76622 | + | 2.42497i | −0.157347 | + | 0.216033i | ||||
\(127\) | 1.75096 | + | 3.03275i | 0.155372 | + | 0.269113i | 0.933195 | − | 0.359372i | \(-0.117009\pi\) |
−0.777822 | + | 0.628484i | \(0.783676\pi\) | |||||||
\(128\) | −0.939693 | − | 0.342020i | −0.0830579 | − | 0.0302306i | ||||
\(129\) | −5.63672 | − | 11.0788i | −0.496286 | − | 0.975438i | ||||
\(130\) | −2.11229 | − | 1.77242i | −0.185260 | − | 0.155452i | ||||
\(131\) | 1.06148 | − | 0.386349i | 0.0927424 | − | 0.0337555i | −0.295232 | − | 0.955426i | \(-0.595397\pi\) |
0.387975 | + | 0.921670i | \(0.373175\pi\) | |||||||
\(132\) | 3.91598 | + | 3.65603i | 0.340842 | + | 0.318217i | ||||
\(133\) | 1.03503 | + | 5.86995i | 0.0897485 | + | 0.508989i | ||||
\(134\) | 1.72810 | 0.149285 | ||||||||
\(135\) | 2.61868 | − | 0.504210i | 0.225380 | − | 0.0433955i | ||||
\(136\) | 5.05467 | 0.433435 | ||||||||
\(137\) | −2.42814 | − | 13.7707i | −0.207450 | − | 1.17651i | −0.893537 | − | 0.448989i | \(-0.851784\pi\) |
0.686087 | − | 0.727519i | \(-0.259327\pi\) | |||||||
\(138\) | −7.18220 | + | 2.19119i | −0.611389 | + | 0.186526i | ||||
\(139\) | 19.0114 | − | 6.91960i | 1.61253 | − | 0.586913i | 0.630592 | − | 0.776115i | \(-0.282812\pi\) |
0.981938 | + | 0.189202i | \(0.0605900\pi\) | |||||||
\(140\) | 0.393151 | + | 0.329893i | 0.0332273 | + | 0.0278810i | ||||
\(141\) | −12.8008 | + | 19.6861i | −1.07802 | + | 1.65787i | ||||
\(142\) | −2.37898 | − | 0.865878i | −0.199640 | − | 0.0726629i | ||||
\(143\) | −8.30913 | − | 14.3918i | −0.694844 | − | 1.20351i | ||||
\(144\) | −2.91174 | + | 0.722330i | −0.242645 | + | 0.0601941i | ||||
\(145\) | −0.980795 | + | 1.69879i | −0.0814506 | + | 0.141077i | ||||
\(146\) | −7.47182 | + | 6.26960i | −0.618372 | + | 0.518876i | ||||
\(147\) | −1.38389 | + | 1.04156i | −0.114142 | + | 0.0859062i | ||||
\(148\) | 1.12714 | − | 6.39232i | 0.0926501 | − | 0.525445i | ||||
\(149\) | 2.96384 | − | 16.8088i | 0.242808 | − | 1.37703i | −0.582722 | − | 0.812671i | \(-0.698012\pi\) |
0.825530 | − | 0.564359i | \(-0.190876\pi\) | |||||||
\(150\) | 0.995015 | + | 8.14347i | 0.0812426 | + | 0.664912i | ||||
\(151\) | −3.26353 | + | 2.73842i | −0.265582 | + | 0.222850i | −0.765847 | − | 0.643022i | \(-0.777680\pi\) |
0.500265 | + | 0.865872i | \(0.333236\pi\) | |||||||
\(152\) | −2.98025 | + | 5.16195i | −0.241730 | + | 0.418689i | ||||
\(153\) | 12.5815 | − | 8.46477i | 1.01716 | − | 0.684336i | ||||
\(154\) | 1.54654 | + | 2.67869i | 0.124624 | + | 0.215855i | ||||
\(155\) | 4.04834 | + | 1.47348i | 0.325171 | + | 0.118352i | ||||
\(156\) | 9.29277 | + | 0.492513i | 0.744017 | + | 0.0394326i | ||||
\(157\) | 3.23919 | + | 2.71801i | 0.258516 | + | 0.216921i | 0.762829 | − | 0.646600i | \(-0.223810\pi\) |
−0.504313 | + | 0.863521i | \(0.668254\pi\) | |||||||
\(158\) | 8.39725 | − | 3.05635i | 0.668050 | − | 0.243150i | ||||
\(159\) | 1.07851 | − | 4.65900i | 0.0855314 | − | 0.369482i | ||||
\(160\) | 0.0891201 | + | 0.505425i | 0.00704556 | + | 0.0399574i | ||||
\(161\) | −4.33533 | −0.341672 | ||||||||
\(162\) | −6.03795 | + | 6.67407i | −0.474386 | + | 0.524364i | ||||
\(163\) | 7.92166 | 0.620473 | 0.310236 | − | 0.950659i | \(-0.399592\pi\) | ||||
0.310236 | + | 0.950659i | \(0.399592\pi\) | |||||||
\(164\) | −1.73466 | − | 9.83777i | −0.135454 | − | 0.768201i | ||||
\(165\) | 0.620089 | − | 2.67869i | 0.0482739 | − | 0.208536i | ||||
\(166\) | −8.15317 | + | 2.96751i | −0.632809 | + | 0.230324i | ||||
\(167\) | −3.52901 | − | 2.96119i | −0.273083 | − | 0.229144i | 0.495953 | − | 0.868349i | \(-0.334819\pi\) |
−0.769036 | + | 0.639206i | \(0.779263\pi\) | |||||||
\(168\) | −1.72962 | − | 0.0916693i | −0.133443 | − | 0.00707244i | ||||
\(169\) | −14.9092 | − | 5.42652i | −1.14686 | − | 0.417424i | ||||
\(170\) | −1.29709 | − | 2.24662i | −0.0994819 | − | 0.172308i | ||||
\(171\) | 1.22630 | + | 17.8394i | 0.0937772 | + | 1.36421i | ||||
\(172\) | 3.58833 | − | 6.21517i | 0.273608 | − | 0.473902i | ||||
\(173\) | −13.8989 | + | 11.6626i | −1.05671 | + | 0.886688i | −0.993783 | − | 0.111330i | \(-0.964489\pi\) |
−0.0629298 | + | 0.998018i | \(0.520044\pi\) | |||||||
\(174\) | −0.802908 | − | 6.57122i | −0.0608683 | − | 0.498163i | ||||
\(175\) | −0.822502 | + | 4.66464i | −0.0621753 | + | 0.352614i | ||||
\(176\) | −0.537108 | + | 3.04609i | −0.0404861 | + | 0.229608i | ||||
\(177\) | −8.43039 | + | 6.34496i | −0.633667 | + | 0.476916i | ||||
\(178\) | 1.47740 | − | 1.23969i | 0.110736 | − | 0.0929186i | ||||
\(179\) | −4.86117 | + | 8.41980i | −0.363341 | + | 0.629325i | −0.988508 | − | 0.151165i | \(-0.951697\pi\) |
0.625167 | + | 0.780491i | \(0.285031\pi\) | |||||||
\(180\) | 1.06823 | + | 1.10880i | 0.0796215 | + | 0.0826454i | ||||
\(181\) | 2.02362 | + | 3.50501i | 0.150414 | + | 0.260525i | 0.931380 | − | 0.364049i | \(-0.118606\pi\) |
−0.780965 | + | 0.624574i | \(0.785273\pi\) | |||||||
\(182\) | 5.04870 | + | 1.83758i | 0.374235 | + | 0.136210i | ||||
\(183\) | 5.20155 | − | 7.99935i | 0.384510 | − | 0.591329i | ||||
\(184\) | −3.32106 | − | 2.78670i | −0.244832 | − | 0.205438i | ||||
\(185\) | −3.13039 | + | 1.13937i | −0.230151 | + | 0.0837679i | ||||
\(186\) | −13.9066 | + | 4.24271i | −1.01968 | + | 0.311090i | ||||
\(187\) | −2.71491 | − | 15.3970i | −0.198534 | − | 1.12594i | ||||
\(188\) | −13.5573 | −0.988768 | ||||||||
\(189\) | −4.45870 | + | 2.66833i | −0.324323 | + | 0.194092i | ||||
\(190\) | 3.05906 | 0.221928 | ||||||||
\(191\) | −0.774454 | − | 4.39215i | −0.0560375 | − | 0.317805i | 0.943885 | − | 0.330275i | \(-0.107142\pi\) |
−0.999922 | + | 0.0124705i | \(0.996030\pi\) | |||||||
\(192\) | −1.26604 | − | 1.18200i | −0.0913689 | − | 0.0853037i | ||||
\(193\) | 24.2997 | − | 8.84437i | 1.74913 | − | 0.636632i | 0.749455 | − | 0.662056i | \(-0.230316\pi\) |
0.999677 | + | 0.0254240i | \(0.00809358\pi\) | |||||||
\(194\) | 11.3975 | + | 9.56361i | 0.818291 | + | 0.686627i | ||||
\(195\) | −2.16572 | − | 4.25668i | −0.155091 | − | 0.304827i | ||||
\(196\) | −0.939693 | − | 0.342020i | −0.0671209 | − | 0.0244300i | ||||
\(197\) | −4.47758 | − | 7.75539i | −0.319014 | − | 0.552549i | 0.661268 | − | 0.750149i | \(-0.270018\pi\) |
−0.980283 | + | 0.197601i | \(0.936685\pi\) | |||||||
\(198\) | 3.76420 | + | 8.48147i | 0.267510 | + | 0.602752i | ||||
\(199\) | 6.23620 | − | 10.8014i | 0.442072 | − | 0.765692i | −0.555771 | − | 0.831336i | \(-0.687577\pi\) |
0.997843 | + | 0.0656438i | \(0.0209101\pi\) | |||||||
\(200\) | −3.62845 | + | 3.04463i | −0.256570 | + | 0.215288i | ||||
\(201\) | 2.75452 | + | 1.17114i | 0.194289 | + | 0.0826060i | ||||
\(202\) | −1.06607 | + | 6.04596i | −0.0750082 | + | 0.425393i | ||||
\(203\) | 0.663702 | − | 3.76404i | 0.0465828 | − | 0.264184i | ||||
\(204\) | 8.05696 | + | 3.42559i | 0.564100 | + | 0.239839i | ||||
\(205\) | −3.92739 | + | 3.29547i | −0.274301 | + | 0.230166i | ||||
\(206\) | 1.58131 | − | 2.73891i | 0.110175 | − | 0.190829i | ||||
\(207\) | −12.9331 | − | 1.37476i | −0.898915 | − | 0.0955526i | ||||
\(208\) | 2.68636 | + | 4.65291i | 0.186265 | + | 0.322621i | ||||
\(209\) | 17.3245 | + | 6.30560i | 1.19836 | + | 0.436167i | ||||
\(210\) | 0.403097 | + | 0.792278i | 0.0278163 | + | 0.0546723i | ||||
\(211\) | −6.02509 | − | 5.05565i | −0.414784 | − | 0.348045i | 0.411391 | − | 0.911459i | \(-0.365043\pi\) |
−0.826175 | + | 0.563414i | \(0.809488\pi\) | |||||||
\(212\) | 2.59450 | − | 0.944319i | 0.178191 | − | 0.0648561i | ||||
\(213\) | −3.20519 | − | 2.99243i | −0.219616 | − | 0.205038i | ||||
\(214\) | −1.78555 | − | 10.1263i | −0.122058 | − | 0.692223i | ||||
\(215\) | −3.68322 | −0.251194 | ||||||||
\(216\) | −5.13073 | − | 0.821942i | −0.349102 | − | 0.0559261i | ||||
\(217\) | −8.39433 | −0.569844 | ||||||||
\(218\) | −2.29294 | − | 13.0039i | −0.155297 | − | 0.880736i | ||||
\(219\) | −16.1588 | + | 4.92980i | −1.09191 | + | 0.333125i | ||||
\(220\) | 1.49170 | − | 0.542936i | 0.100571 | − | 0.0366047i | ||||
\(221\) | −20.8037 | − | 17.4564i | −1.39941 | − | 1.17424i | ||||
\(222\) | 6.12873 | − | 9.42524i | 0.411333 | − | 0.632580i | ||||
\(223\) | −16.0603 | − | 5.84548i | −1.07548 | − | 0.391442i | −0.257255 | − | 0.966343i | \(-0.582818\pi\) |
−0.818223 | + | 0.574902i | \(0.805040\pi\) | |||||||
\(224\) | −0.500000 | − | 0.866025i | −0.0334077 | − | 0.0578638i | ||||
\(225\) | −3.93287 | + | 13.6547i | −0.262192 | + | 0.910314i | ||||
\(226\) | −8.00990 | + | 13.8735i | −0.532810 | + | 0.922855i | ||||
\(227\) | −5.05684 | + | 4.24319i | −0.335634 | + | 0.281630i | −0.794991 | − | 0.606621i | \(-0.792524\pi\) |
0.459357 | + | 0.888252i | \(0.348080\pi\) | |||||||
\(228\) | −8.24869 | + | 6.20821i | −0.546283 | + | 0.411149i | ||||
\(229\) | −0.828025 | + | 4.69596i | −0.0547174 | + | 0.310318i | −0.999867 | − | 0.0163204i | \(-0.994805\pi\) |
0.945149 | + | 0.326638i | \(0.105916\pi\) | |||||||
\(230\) | −0.386365 | + | 2.19119i | −0.0254762 | + | 0.144482i | ||||
\(231\) | 0.649762 | + | 5.31783i | 0.0427512 | + | 0.349887i | ||||
\(232\) | 2.92791 | − | 2.45680i | 0.192226 | − | 0.161297i | ||||
\(233\) | 9.05529 | − | 15.6842i | 0.593232 | − | 1.02751i | −0.400562 | − | 0.916270i | \(-0.631185\pi\) |
0.993794 | − | 0.111238i | \(-0.0354816\pi\) | |||||||
\(234\) | 14.4785 | + | 7.08282i | 0.946492 | + | 0.463019i | ||||
\(235\) | 3.47895 | + | 6.02573i | 0.226942 | + | 0.393075i | ||||
\(236\) | −5.72442 | − | 2.08352i | −0.372628 | − | 0.135625i | ||||
\(237\) | 15.4562 | + | 0.819172i | 1.00399 | + | 0.0532110i | ||||
\(238\) | 3.87211 | + | 3.24908i | 0.250991 | + | 0.210607i | ||||
\(239\) | −22.1658 | + | 8.06771i | −1.43379 | + | 0.521857i | −0.938015 | − | 0.346595i | \(-0.887338\pi\) |
−0.495775 | + | 0.868451i | \(0.665116\pi\) | |||||||
\(240\) | −0.200476 | + | 0.866025i | −0.0129407 | + | 0.0559017i | ||||
\(241\) | 3.78666 | + | 21.4752i | 0.243921 | + | 1.38334i | 0.822986 | + | 0.568061i | \(0.192306\pi\) |
−0.579066 | + | 0.815281i | \(0.696583\pi\) | |||||||
\(242\) | −1.43283 | −0.0921061 | ||||||||
\(243\) | −14.1473 | + | 6.54625i | −0.907551 | + | 0.419942i | ||||
\(244\) | 5.50895 | 0.352675 | ||||||||
\(245\) | 0.0891201 | + | 0.505425i | 0.00569367 | + | 0.0322904i | ||||
\(246\) | 3.90214 | − | 16.8566i | 0.248791 | − | 1.07474i | ||||
\(247\) | 30.0928 | − | 10.9529i | 1.91476 | − | 0.696915i | ||||
\(248\) | −6.43043 | − | 5.39577i | −0.408333 | − | 0.342632i | ||||
\(249\) | −15.0069 | − | 0.795362i | −0.951027 | − | 0.0504040i | ||||
\(250\) | 4.69568 | + | 1.70909i | 0.296981 | + | 0.108092i | ||||
\(251\) | −4.88921 | − | 8.46835i | −0.308604 | − | 0.534518i | 0.669453 | − | 0.742854i | \(-0.266528\pi\) |
−0.978057 | + | 0.208336i | \(0.933195\pi\) | |||||||
\(252\) | −2.69483 | − | 1.31830i | −0.169758 | − | 0.0830448i | ||||
\(253\) | −6.70477 | + | 11.6130i | −0.421525 | + | 0.730103i | ||||
\(254\) | −2.68262 | + | 2.25099i | −0.168323 | + | 0.141240i | ||||
\(255\) | −0.544956 | − | 4.46007i | −0.0341264 | − | 0.279300i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 2.11629 | − | 12.0021i | 0.132011 | − | 0.748670i | −0.844884 | − | 0.534949i | \(-0.820331\pi\) |
0.976895 | − | 0.213720i | \(-0.0685582\pi\) | |||||||
\(258\) | 9.93173 | − | 7.47491i | 0.618322 | − | 0.465367i | ||||
\(259\) | 4.97234 | − | 4.17229i | 0.308966 | − | 0.259253i | ||||
\(260\) | 1.37870 | − | 2.38798i | 0.0855032 | − | 0.148096i | ||||
\(261\) | 3.17356 | − | 11.0184i | 0.196438 | − | 0.682022i | ||||
\(262\) | 0.564804 | + | 0.978270i | 0.0348937 | + | 0.0604377i | ||||
\(263\) | −3.15523 | − | 1.14841i | −0.194560 | − | 0.0708140i | 0.242903 | − | 0.970051i | \(-0.421900\pi\) |
−0.437462 | + | 0.899237i | \(0.644123\pi\) | |||||||
\(264\) | −2.92049 | + | 4.49135i | −0.179744 | + | 0.276424i | ||||
\(265\) | −1.08549 | − | 0.910835i | −0.0666812 | − | 0.0559522i | ||||
\(266\) | −5.60104 | + | 2.03861i | −0.343422 | + | 0.124995i | ||||
\(267\) | 3.19507 | − | 0.974769i | 0.195535 | − | 0.0596549i | ||||
\(268\) | 0.300081 | + | 1.70184i | 0.0183304 | + | 0.103957i | ||||
\(269\) | 6.33461 | 0.386228 | 0.193114 | − | 0.981176i | \(-0.438141\pi\) | ||||
0.193114 | + | 0.981176i | \(0.438141\pi\) | |||||||
\(270\) | 0.951279 | + | 2.49134i | 0.0578930 | + | 0.151618i | ||||
\(271\) | −26.6659 | −1.61984 | −0.809918 | − | 0.586543i | \(-0.800488\pi\) | ||||
−0.809918 | + | 0.586543i | \(0.800488\pi\) | |||||||
\(272\) | 0.877735 | + | 4.97788i | 0.0532205 | + | 0.301828i | ||||
\(273\) | 6.80210 | + | 6.35057i | 0.411682 | + | 0.384354i | ||||
\(274\) | 13.1398 | − | 4.78251i | 0.793806 | − | 0.288922i | ||||
\(275\) | 11.2231 | + | 9.41729i | 0.676778 | + | 0.567884i | ||||
\(276\) | −3.40507 | − | 6.69259i | −0.204961 | − | 0.402847i | ||||
\(277\) | 27.0491 | + | 9.84506i | 1.62522 | + | 0.591532i | 0.984367 | − | 0.176130i | \(-0.0563577\pi\) |
0.640855 | + | 0.767662i | \(0.278580\pi\) | |||||||
\(278\) | 10.1158 | + | 17.5210i | 0.606704 | + | 1.05084i | ||||
\(279\) | −25.0419 | − | 2.66190i | −1.49922 | − | 0.159364i | ||||
\(280\) | −0.256611 | + | 0.444463i | −0.0153354 | + | 0.0265618i | ||||
\(281\) | −3.47016 | + | 2.91181i | −0.207012 | + | 0.173704i | −0.740399 | − | 0.672167i | \(-0.765363\pi\) |
0.533387 | + | 0.845871i | \(0.320919\pi\) | |||||||
\(282\) | −21.6098 | − | 9.18788i | −1.28685 | − | 0.547130i | ||||
\(283\) | 1.89488 | − | 10.7464i | 0.112639 | − | 0.638808i | −0.875253 | − | 0.483665i | \(-0.839305\pi\) |
0.987892 | − | 0.155143i | \(-0.0495837\pi\) | |||||||
\(284\) | 0.439618 | − | 2.49320i | 0.0260865 | − | 0.147944i | ||||
\(285\) | 4.87603 | + | 2.07315i | 0.288831 | + | 0.122803i | ||||
\(286\) | 12.7303 | − | 10.6820i | 0.752760 | − | 0.631640i | ||||
\(287\) | 4.99477 | − | 8.65119i | 0.294832 | − | 0.510663i | ||||
\(288\) | −1.21697 | − | 2.74207i | −0.0717109 | − | 0.161578i | ||||
\(289\) | −4.27487 | − | 7.40428i | −0.251463 | − | 0.435546i | ||||
\(290\) | −1.84329 | − | 0.670904i | −0.108242 | − | 0.0393968i | ||||
\(291\) | 11.6858 | + | 22.9682i | 0.685034 | + | 1.34642i | ||||
\(292\) | −7.47182 | − | 6.26960i | −0.437255 | − | 0.366901i | ||||
\(293\) | 7.55989 | − | 2.75158i | 0.441654 | − | 0.160749i | −0.111615 | − | 0.993751i | \(-0.535602\pi\) |
0.553269 | + | 0.833003i | \(0.313380\pi\) | |||||||
\(294\) | −1.26604 | − | 1.18200i | −0.0738372 | − | 0.0689358i | ||||
\(295\) | 0.542901 | + | 3.07895i | 0.0316089 | + | 0.179263i | ||||
\(296\) | 6.49093 | 0.377277 | ||||||||
\(297\) | 0.252047 | + | 16.0702i | 0.0146252 | + | 0.932485i | ||||
\(298\) | 17.0681 | 0.988728 | ||||||||
\(299\) | 4.04470 | + | 22.9386i | 0.233911 | + | 1.32658i | ||||
\(300\) | −7.84697 | + | 2.39400i | −0.453045 | + | 0.138218i | ||||
\(301\) | 6.74386 | − | 2.45456i | 0.388709 | − | 0.141479i | ||||
\(302\) | −3.26353 | − | 2.73842i | −0.187795 | − | 0.157579i | ||||
\(303\) | −5.79666 | + | 8.91455i | −0.333010 | + | 0.512128i | ||||
\(304\) | −5.60104 | − | 2.03861i | −0.321242 | − | 0.116922i | ||||
\(305\) | −1.41366 | − | 2.44853i | −0.0809459 | − | 0.140202i | ||||
\(306\) | 10.5209 | + | 10.9205i | 0.601442 | + | 0.624284i | ||||
\(307\) | 6.95649 | − | 12.0490i | 0.397028 | − | 0.687673i | −0.596330 | − | 0.802740i | \(-0.703375\pi\) |
0.993358 | + | 0.115067i | \(0.0367082\pi\) | |||||||
\(308\) | −2.36944 | + | 1.98820i | −0.135011 | + | 0.113288i | ||||
\(309\) | 4.37673 | − | 3.29406i | 0.248984 | − | 0.187392i | ||||
\(310\) | −0.748103 | + | 4.24271i | −0.0424894 | + | 0.240969i | ||||
\(311\) | −5.87079 | + | 33.2949i | −0.332902 | + | 1.88798i | 0.114137 | + | 0.993465i | \(0.463590\pi\) |
−0.447039 | + | 0.894514i | \(0.647521\pi\) | |||||||
\(312\) | 1.12864 | + | 9.23712i | 0.0638968 | + | 0.522949i | ||||
\(313\) | 3.00461 | − | 2.52117i | 0.169831 | − | 0.142505i | −0.553911 | − | 0.832576i | \(-0.686865\pi\) |
0.723742 | + | 0.690071i | \(0.242421\pi\) | |||||||
\(314\) | −2.11423 | + | 3.66196i | −0.119313 | + | 0.206656i | ||||
\(315\) | 0.105589 | + | 1.53604i | 0.00594925 | + | 0.0865461i | ||||
\(316\) | 4.46809 | + | 7.73895i | 0.251349 | + | 0.435350i | ||||
\(317\) | −4.59946 | − | 1.67407i | −0.258332 | − | 0.0940250i | 0.209608 | − | 0.977786i | \(-0.432781\pi\) |
−0.467939 | + | 0.883761i | \(0.655003\pi\) | |||||||
\(318\) | 4.77550 | + | 0.253099i | 0.267797 | + | 0.0141931i | ||||
\(319\) | −9.05626 | − | 7.59910i | −0.507053 | − | 0.425468i | ||||
\(320\) | −0.482271 | + | 0.175532i | −0.0269598 | + | 0.00981255i | ||||
\(321\) | 4.01660 | − | 17.3511i | 0.224185 | − | 0.968443i | ||||
\(322\) | −0.752822 | − | 4.26947i | −0.0419532 | − | 0.237928i | ||||
\(323\) | 30.1284 | 1.67639 | ||||||||
\(324\) | −7.62115 | − | 4.78728i | −0.423397 | − | 0.265960i | ||||
\(325\) | 25.4484 | 1.41162 | ||||||||
\(326\) | 1.37558 | + | 7.80132i | 0.0761865 | + | 0.432075i | ||||
\(327\) | 5.15798 | − | 22.2817i | 0.285237 | − | 1.23218i | ||||
\(328\) | 9.38709 | − | 3.41662i | 0.518315 | − | 0.188651i | ||||
\(329\) | −10.3855 | − | 8.71447i | −0.572571 | − | 0.480444i | ||||
\(330\) | 2.74567 | + | 0.145519i | 0.151144 | + | 0.00801058i | ||||
\(331\) | 20.5155 | + | 7.46702i | 1.12763 | + | 0.410425i | 0.837432 | − | 0.546541i | \(-0.184056\pi\) |
0.290200 | + | 0.956966i | \(0.406278\pi\) | |||||||
\(332\) | −4.33821 | − | 7.51400i | −0.238090 | − | 0.412385i | ||||
\(333\) | 16.1565 | − | 10.8700i | 0.885371 | − | 0.595671i | ||||
\(334\) | 2.30340 | − | 3.98960i | 0.126036 | − | 0.218301i | ||||
\(335\) | 0.679403 | − | 0.570086i | 0.0371197 | − | 0.0311472i | ||||
\(336\) | −0.210069 | − | 1.71926i | −0.0114602 | − | 0.0937936i | ||||
\(337\) | −0.914925 | + | 5.18880i | −0.0498391 | + | 0.282652i | −0.999534 | − | 0.0305249i | \(-0.990282\pi\) |
0.949695 | + | 0.313177i | \(0.101393\pi\) | |||||||
\(338\) | 2.75511 | − | 15.6250i | 0.149858 | − | 0.849890i | ||||
\(339\) | −22.1697 | + | 16.6855i | −1.20409 | + | 0.906234i | ||||
\(340\) | 1.98725 | − | 1.66750i | 0.107774 | − | 0.0904329i | ||||
\(341\) | −12.9822 | + | 22.4858i | −0.703025 | + | 1.21767i | ||||
\(342\) | −17.3554 | + | 4.30545i | −0.938475 | + | 0.232812i | ||||
\(343\) | −0.500000 | − | 0.866025i | −0.0269975 | − | 0.0467610i | ||||
\(344\) | 6.74386 | + | 2.45456i | 0.363604 | + | 0.132341i | ||||
\(345\) | −2.10083 | + | 3.23082i | −0.113105 | + | 0.173942i | ||||
\(346\) | −13.8989 | − | 11.6626i | −0.747209 | − | 0.626983i | ||||
\(347\) | 16.2565 | − | 5.91688i | 0.872694 | − | 0.317635i | 0.133436 | − | 0.991057i | \(-0.457399\pi\) |
0.739258 | + | 0.673423i | \(0.235177\pi\) | |||||||
\(348\) | 6.33196 | − | 1.93179i | 0.339429 | − | 0.103555i | ||||
\(349\) | 1.89577 | + | 10.7514i | 0.101478 | + | 0.575511i | 0.992569 | + | 0.121686i | \(0.0388300\pi\) |
−0.891090 | + | 0.453826i | \(0.850059\pi\) | |||||||
\(350\) | −4.73660 | −0.253182 | ||||||||
\(351\) | 18.2782 | + | 21.1020i | 0.975616 | + | 1.12634i | ||||
\(352\) | −3.09308 | −0.164862 | ||||||||
\(353\) | 2.51607 | + | 14.2694i | 0.133917 | + | 0.759482i | 0.975608 | + | 0.219521i | \(0.0704496\pi\) |
−0.841691 | + | 0.539960i | \(0.818439\pi\) | |||||||
\(354\) | −7.71249 | − | 7.20052i | −0.409914 | − | 0.382704i | ||||
\(355\) | −1.22095 | + | 0.444388i | −0.0648011 | + | 0.0235857i | ||||
\(356\) | 1.47740 | + | 1.23969i | 0.0783022 | + | 0.0657034i | ||||
\(357\) | 3.97006 | + | 7.80306i | 0.210118 | + | 0.412982i | ||||
\(358\) | −9.13602 | − | 3.32524i | −0.482854 | − | 0.175744i | ||||
\(359\) | −12.3652 | − | 21.4171i | −0.652609 | − | 1.13035i | −0.982487 | − | 0.186329i | \(-0.940341\pi\) |
0.329878 | − | 0.944024i | \(-0.392992\pi\) | |||||||
\(360\) | −0.906463 | + | 1.24455i | −0.0477748 | + | 0.0655934i | ||||
\(361\) | −8.26380 | + | 14.3133i | −0.434937 | + | 0.753333i | ||||
\(362\) | −3.10036 | + | 2.60151i | −0.162951 | + | 0.136732i | ||||
\(363\) | −2.28388 | − | 0.971042i | −0.119873 | − | 0.0509665i | ||||
\(364\) | −0.932962 | + | 5.29109i | −0.0489005 | + | 0.277329i | ||||
\(365\) | −0.869257 | + | 4.92980i | −0.0454990 | + | 0.258038i | ||||
\(366\) | 8.78106 | + | 3.73346i | 0.458993 | + | 0.195151i | ||||
\(367\) | 7.71748 | − | 6.47573i | 0.402849 | − | 0.338031i | −0.418745 | − | 0.908104i | \(-0.637530\pi\) |
0.821594 | + | 0.570073i | \(0.193085\pi\) | |||||||
\(368\) | 2.16767 | − | 3.75451i | 0.112997 | − | 0.195717i | ||||
\(369\) | 17.6437 | − | 24.2243i | 0.918494 | − | 1.26107i | ||||
\(370\) | −1.66564 | − | 2.88498i | −0.0865927 | − | 0.149983i | ||||
\(371\) | 2.59450 | + | 0.944319i | 0.134699 | + | 0.0490266i | ||||
\(372\) | −6.59311 | − | 12.9586i | −0.341837 | − | 0.671872i | ||||
\(373\) | 15.5677 | + | 13.0628i | 0.806065 | + | 0.676369i | 0.949665 | − | 0.313267i | \(-0.101424\pi\) |
−0.143600 | + | 0.989636i | \(0.545868\pi\) | |||||||
\(374\) | 14.6917 | − | 5.34732i | 0.759687 | − | 0.276504i | ||||
\(375\) | 6.32647 | + | 5.90652i | 0.326698 | + | 0.305011i | ||||
\(376\) | −2.35420 | − | 13.3513i | −0.121409 | − | 0.688543i | ||||
\(377\) | −20.5351 | −1.05761 | ||||||||
\(378\) | −3.40203 | − | 3.92762i | −0.174982 | − | 0.202015i | ||||
\(379\) | −7.76186 | −0.398700 | −0.199350 | − | 0.979928i | \(-0.563883\pi\) | ||||
−0.199350 | + | 0.979928i | \(0.563883\pi\) | |||||||
\(380\) | 0.531201 | + | 3.01259i | 0.0272500 | + | 0.154543i | ||||
\(381\) | −5.80151 | + | 1.76996i | −0.297220 | + | 0.0906776i | ||||
\(382\) | 4.19094 | − | 1.52538i | 0.214427 | − | 0.0780451i | ||||
\(383\) | −6.07023 | − | 5.09353i | −0.310174 | − | 0.260267i | 0.474390 | − | 0.880315i | \(-0.342669\pi\) |
−0.784564 | + | 0.620048i | \(0.787113\pi\) | |||||||
\(384\) | 0.944200 | − | 1.45206i | 0.0481835 | − | 0.0741003i | ||||
\(385\) | 1.49170 | + | 0.542936i | 0.0760243 | + | 0.0276706i | ||||
\(386\) | 12.9296 | + | 22.3947i | 0.658100 | + | 1.13986i | ||||
\(387\) | 20.8966 | − | 5.18392i | 1.06223 | − | 0.263513i | ||||
\(388\) | −7.43917 | + | 12.8850i | −0.377667 | + | 0.654138i | ||||
\(389\) | −5.08046 | + | 4.26301i | −0.257589 | + | 0.216143i | −0.762432 | − | 0.647068i | \(-0.775995\pi\) |
0.504843 | + | 0.863211i | \(0.331550\pi\) | |||||||
\(390\) | 3.81594 | − | 2.87199i | 0.193228 | − | 0.145429i | ||||
\(391\) | −3.80527 | + | 21.5808i | −0.192441 | + | 1.09139i | ||||
\(392\) | 0.173648 | − | 0.984808i | 0.00877056 | − | 0.0497403i | ||||
\(393\) | 0.237296 | + | 1.94210i | 0.0119700 | + | 0.0979658i | ||||
\(394\) | 6.86005 | − | 5.75626i | 0.345604 | − | 0.289996i | ||||
\(395\) | 2.29312 | − | 3.97180i | 0.115379 | − | 0.199843i | ||||
\(396\) | −7.69897 | + | 5.17981i | −0.386888 | + | 0.260295i | ||||
\(397\) | −14.0377 | − | 24.3140i | −0.704531 | − | 1.22028i | −0.966861 | − | 0.255305i | \(-0.917824\pi\) |
0.262329 | − | 0.964978i | \(-0.415509\pi\) | |||||||
\(398\) | 11.7202 | + | 4.26581i | 0.587482 | + | 0.213826i | ||||
\(399\) | −10.3094 | − | 0.546395i | −0.516117 | − | 0.0273540i | ||||
\(400\) | −3.62845 | − | 3.04463i | −0.181422 | − | 0.152231i | ||||
\(401\) | −8.34329 | + | 3.03671i | −0.416644 | + | 0.151646i | −0.541832 | − | 0.840487i | \(-0.682269\pi\) |
0.125187 | + | 0.992133i | \(0.460047\pi\) | |||||||
\(402\) | −0.675033 | + | 2.91604i | −0.0336676 | + | 0.145439i | ||||
\(403\) | 7.83159 | + | 44.4152i | 0.390119 | + | 2.21248i | ||||
\(404\) | −6.13923 | −0.305438 | ||||||||
\(405\) | −0.172097 | + | 4.61579i | −0.00855157 | + | 0.229361i | ||||
\(406\) | 3.82211 | 0.189688 | ||||||||
\(407\) | −3.48633 | − | 19.7720i | −0.172811 | − | 0.980060i | ||||
\(408\) | −1.97447 | + | 8.52940i | −0.0977508 | + | 0.422268i | ||||
\(409\) | 1.49844 | − | 0.545386i | 0.0740929 | − | 0.0269676i | −0.304708 | − | 0.952446i | \(-0.598559\pi\) |
0.378801 | + | 0.925478i | \(0.376337\pi\) | |||||||
\(410\) | −3.92739 | − | 3.29547i | −0.193960 | − | 0.162752i | ||||
\(411\) | 24.1855 | + | 1.28182i | 1.19298 | + | 0.0632276i | ||||
\(412\) | 2.97190 | + | 1.08168i | 0.146415 | + | 0.0532906i | ||||
\(413\) | −3.04590 | − | 5.27565i | −0.149879 | − | 0.259598i | ||||
\(414\) | −0.891938 | − | 12.9754i | −0.0438364 | − | 0.637705i | ||||
\(415\) | −2.22647 | + | 3.85635i | −0.109293 | + | 0.189301i | ||||
\(416\) | −4.11574 | + | 3.45351i | −0.201791 | + | 0.169323i | ||||
\(417\) | 4.25003 | + | 34.7834i | 0.208125 | + | 1.70335i | ||||
\(418\) | −3.20144 | + | 18.1562i | −0.156587 | + | 0.888051i | ||||
\(419\) | 2.23949 | − | 12.7008i | 0.109406 | − | 0.620474i | −0.879962 | − | 0.475043i | \(-0.842432\pi\) |
0.989369 | − | 0.145430i | \(-0.0464566\pi\) | |||||||
\(420\) | −0.710244 | + | 0.534550i | −0.0346564 | + | 0.0260834i | ||||
\(421\) | −24.8963 | + | 20.8905i | −1.21337 | + | 1.01814i | −0.214226 | + | 0.976784i | \(0.568723\pi\) |
−0.999145 | + | 0.0413543i | \(0.986833\pi\) | |||||||
\(422\) | 3.93260 | − | 6.81146i | 0.191436 | − | 0.331577i | ||||
\(423\) | −28.2185 | − | 29.2903i | −1.37203 | − | 1.42414i | ||||
\(424\) | 1.38050 | + | 2.39110i | 0.0670431 | + | 0.116122i | ||||
\(425\) | 22.4981 | + | 8.18864i | 1.09132 | + | 0.397207i | ||||
\(426\) | 2.39039 | − | 3.67613i | 0.115815 | − | 0.178109i | ||||
\(427\) | 4.22010 | + | 3.54109i | 0.204225 | + | 0.171365i | ||||
\(428\) | 9.66245 | − | 3.51684i | 0.467052 | − | 0.169993i | ||||
\(429\) | 27.5309 | − | 8.39928i | 1.32921 | − | 0.405521i | ||||
\(430\) | −0.639585 | − | 3.62727i | −0.0308435 | − | 0.174922i | ||||
\(431\) | 19.5805 | 0.943162 | 0.471581 | − | 0.881823i | \(-0.343684\pi\) | ||||
0.471581 | + | 0.881823i | \(0.343684\pi\) | |||||||
\(432\) | −0.0814873 | − | 5.19551i | −0.00392056 | − | 0.249969i | ||||
\(433\) | −3.07569 | −0.147808 | −0.0739041 | − | 0.997265i | \(-0.523546\pi\) | ||||
−0.0739041 | + | 0.997265i | \(0.523546\pi\) | |||||||
\(434\) | −1.45766 | − | 8.26680i | −0.0699699 | − | 0.396819i | ||||
\(435\) | −2.48346 | − | 2.31861i | −0.119073 | − | 0.111169i | ||||
\(436\) | 12.4082 | − | 4.51621i | 0.594244 | − | 0.216287i | ||||
\(437\) | −19.7952 | − | 16.6101i | −0.946931 | − | 0.794570i | ||||
\(438\) | −7.66084 | − | 15.0572i | −0.366049 | − | 0.719461i | ||||
\(439\) | 18.4782 | + | 6.72550i | 0.881914 | + | 0.320991i | 0.742982 | − | 0.669311i | \(-0.233411\pi\) |
0.138932 | + | 0.990302i | \(0.455633\pi\) | |||||||
\(440\) | 0.793719 | + | 1.37476i | 0.0378391 | + | 0.0655392i | ||||
\(441\) | −1.21697 | − | 2.74207i | −0.0579512 | − | 0.130575i | ||||
\(442\) | 13.5787 | − | 23.5189i | 0.645871 | − | 1.11868i | ||||
\(443\) | 20.0199 | − | 16.7987i | 0.951176 | − | 0.798131i | −0.0283195 | − | 0.999599i | \(-0.509016\pi\) |
0.979495 | + | 0.201468i | \(0.0645711\pi\) | |||||||
\(444\) | 10.3463 | + | 4.39895i | 0.491013 | + | 0.208765i | ||||
\(445\) | 0.171878 | − | 0.974769i | 0.00814781 | − | 0.0462085i | ||||
\(446\) | 2.96783 | − | 16.8314i | 0.140531 | − | 0.796989i | ||||
\(447\) | 27.2059 | + | 11.5672i | 1.28679 | + | 0.547108i | ||||
\(448\) | 0.766044 | − | 0.642788i | 0.0361922 | − | 0.0303689i | ||||
\(449\) | 11.2401 | − | 19.4685i | 0.530455 | − | 0.918775i | −0.468913 | − | 0.883244i | \(-0.655354\pi\) |
0.999369 | − | 0.0355311i | \(-0.0113123\pi\) | |||||||
\(450\) | −14.1302 | − | 1.50201i | −0.666104 | − | 0.0708053i | ||||
\(451\) | −15.4492 | − | 26.7588i | −0.727476 | − | 1.26002i | ||||
\(452\) | −15.0537 | − | 5.47909i | −0.708066 | − | 0.257715i | ||||
\(453\) | −3.34609 | − | 6.57665i | −0.157213 | − | 0.308998i | ||||
\(454\) | −5.05684 | − | 4.24319i | −0.237329 | − | 0.199143i | ||||
\(455\) | 2.59110 | − | 0.943085i | 0.121473 | − | 0.0442125i | ||||
\(456\) | −7.54626 | − | 7.04533i | −0.353386 | − | 0.329928i | ||||
\(457\) | −4.41730 | − | 25.0517i | −0.206633 | − | 1.17187i | −0.894850 | − | 0.446367i | \(-0.852718\pi\) |
0.688218 | − | 0.725504i | \(-0.258393\pi\) | |||||||
\(458\) | −4.76841 | −0.222813 | ||||||||
\(459\) | 9.36906 | + | 24.5370i | 0.437310 | + | 1.14529i | ||||
\(460\) | −2.22499 | −0.103741 | ||||||||
\(461\) | 0.234704 | + | 1.33107i | 0.0109313 | + | 0.0619943i | 0.989785 | − | 0.142565i | \(-0.0455350\pi\) |
−0.978854 | + | 0.204559i | \(0.934424\pi\) | |||||||
\(462\) | −5.12421 | + | 1.56332i | −0.238400 | + | 0.0727323i | ||||
\(463\) | 7.33409 | − | 2.66939i | 0.340844 | − | 0.124057i | −0.165926 | − | 0.986138i | \(-0.553061\pi\) |
0.506770 | + | 0.862081i | \(0.330839\pi\) | |||||||
\(464\) | 2.92791 | + | 2.45680i | 0.135925 | + | 0.114054i | ||||
\(465\) | −4.06776 | + | 6.25571i | −0.188638 | + | 0.290102i | ||||
\(466\) | 17.0184 | + | 6.19418i | 0.788361 | + | 0.286940i | ||||
\(467\) | 10.5654 | + | 18.2997i | 0.488907 | + | 0.846811i | 0.999919 | − | 0.0127624i | \(-0.00406250\pi\) |
−0.511012 | + | 0.859574i | \(0.670729\pi\) | |||||||
\(468\) | −4.46105 | + | 15.4885i | −0.206212 | + | 0.715956i | ||||
\(469\) | −0.864048 | + | 1.49658i | −0.0398980 | + | 0.0691054i | ||||
\(470\) | −5.33007 | + | 4.47246i | −0.245858 | + | 0.206299i | ||||
\(471\) | −5.85174 | + | 4.40419i | −0.269634 | + | 0.202934i | ||||
\(472\) | 1.05783 | − | 5.99925i | 0.0486906 | − | 0.276138i | ||||
\(473\) | 3.85465 | − | 21.8608i | 0.177237 | − | 1.00516i | ||||
\(474\) | 1.87722 | + | 15.3636i | 0.0862234 | + | 0.705676i | ||||
\(475\) | −21.6274 | + | 18.1475i | −0.992332 | + | 0.832666i | ||||
\(476\) | −2.52734 | + | 4.37748i | −0.115840 | + | 0.200641i | ||||
\(477\) | 7.44043 | + | 3.63982i | 0.340674 | + | 0.166656i | ||||
\(478\) | −11.7942 | − | 20.4282i | −0.539454 | − | 0.934362i | ||||
\(479\) | 8.92520 | + | 3.24851i | 0.407803 | + | 0.148428i | 0.537773 | − | 0.843090i | \(-0.319266\pi\) |
−0.129970 | + | 0.991518i | \(0.541488\pi\) | |||||||
\(480\) | −0.887681 | − | 0.0470467i | −0.0405169 | − | 0.00214738i | ||||
\(481\) | −26.7150 | − | 22.4165i | −1.21810 | − | 1.02211i | ||||
\(482\) | −20.4914 | + | 7.45827i | −0.933359 | + | 0.339715i | ||||
\(483\) | 1.69348 | − | 7.31556i | 0.0770559 | − | 0.332870i | ||||
\(484\) | −0.248809 | − | 1.41107i | −0.0113095 | − | 0.0641394i | ||||
\(485\) | 7.63589 | 0.346728 | ||||||||
\(486\) | −8.90345 | − | 12.7956i | −0.403869 | − | 0.580422i | ||||
\(487\) | −3.92885 | −0.178033 | −0.0890166 | − | 0.996030i | \(-0.528372\pi\) | ||||
−0.0890166 | + | 0.996030i | \(0.528372\pi\) | |||||||
\(488\) | 0.956620 | + | 5.42526i | 0.0433041 | + | 0.245590i | ||||
\(489\) | −3.09438 | + | 13.3672i | −0.139933 | + | 0.604487i | ||||
\(490\) | −0.482271 | + | 0.175532i | −0.0217868 | + | 0.00792974i | ||||
\(491\) | 23.7854 | + | 19.9584i | 1.07342 | + | 0.900708i | 0.995358 | − | 0.0962401i | \(-0.0306817\pi\) |
0.0780641 | + | 0.996948i | \(0.475126\pi\) | |||||||
\(492\) | 17.2781 | + | 0.915733i | 0.778958 | + | 0.0412844i | ||||
\(493\) | −18.1544 | − | 6.60766i | −0.817633 | − | 0.297594i | ||||
\(494\) | 16.0120 | + | 27.7337i | 0.720416 | + | 1.24780i | ||||
\(495\) | 4.27787 | + | 2.09271i | 0.192276 | + | 0.0940604i | ||||
\(496\) | 4.19717 | − | 7.26970i | 0.188458 | − | 0.326419i | ||||
\(497\) | 1.93936 | − | 1.62732i | 0.0869923 | − | 0.0729952i | ||||
\(498\) | −1.82265 | − | 14.9171i | −0.0816749 | − | 0.668450i | ||||
\(499\) | −2.97273 | + | 16.8592i | −0.133078 | + | 0.754721i | 0.843101 | + | 0.537754i | \(0.180727\pi\) |
−0.976179 | + | 0.216966i | \(0.930384\pi\) | |||||||
\(500\) | −0.867727 | + | 4.92112i | −0.0388059 | + | 0.220079i | ||||
\(501\) | 6.37531 | − | 4.79824i | 0.284828 | − | 0.214370i | ||||
\(502\) | 7.49070 | − | 6.28544i | 0.334326 | − | 0.280533i | ||||
\(503\) | −12.9850 | + | 22.4906i | −0.578971 | + | 1.00281i | 0.416626 | + | 0.909078i | \(0.363212\pi\) |
−0.995598 | + | 0.0937298i | \(0.970121\pi\) | |||||||
\(504\) | 0.830315 | − | 2.88281i | 0.0369852 | − | 0.128410i | ||||
\(505\) | 1.57540 | + | 2.72866i | 0.0701042 | + | 0.121424i | ||||
\(506\) | −12.6008 | − | 4.58633i | −0.560176 | − | 0.203887i | ||||
\(507\) | 14.9807 | − | 23.0385i | 0.665318 | − | 1.02318i | ||||
\(508\) | −2.68262 | − | 2.25099i | −0.119022 | − | 0.0998714i | ||||
\(509\) | −14.6986 | + | 5.34985i | −0.651503 | + | 0.237128i | −0.646564 | − | 0.762860i | \(-0.723795\pi\) |
−0.00493966 | + | 0.999988i | \(0.501572\pi\) | |||||||
\(510\) | 4.29768 | − | 1.31116i | 0.190304 | − | 0.0580591i | ||||
\(511\) | −1.69372 | − | 9.60559i | −0.0749260 | − | 0.424926i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −30.5817 | − | 4.89919i | −1.35022 | − | 0.216304i | ||||
\(514\) | 12.1872 | 0.537556 | ||||||||
\(515\) | −0.281853 | − | 1.59847i | −0.0124199 | − | 0.0704370i | ||||
\(516\) | 9.08597 | + | 8.48284i | 0.399988 | + | 0.373436i | ||||
\(517\) | −39.4050 | + | 14.3422i | −1.73303 | + | 0.630771i | ||||
\(518\) | 4.97234 | + | 4.17229i | 0.218472 | + | 0.183320i | ||||
\(519\) | −14.2505 | − | 28.0090i | −0.625528 | − | 1.22946i | ||||
\(520\) | 2.59110 | + | 0.943085i | 0.113627 | + | 0.0413570i | ||||
\(521\) | 3.00491 | + | 5.20465i | 0.131647 | + | 0.228020i | 0.924312 | − | 0.381638i | \(-0.124640\pi\) |
−0.792664 | + | 0.609658i | \(0.791307\pi\) | |||||||
\(522\) | 11.4021 | + | 1.21202i | 0.499056 | + | 0.0530485i | ||||
\(523\) | −19.4382 | + | 33.6680i | −0.849974 | + | 1.47220i | 0.0312557 | + | 0.999511i | \(0.490049\pi\) |
−0.881230 | + | 0.472687i | \(0.843284\pi\) | |||||||
\(524\) | −0.865330 | + | 0.726098i | −0.0378021 | + | 0.0317198i | ||||
\(525\) | −7.54996 | − | 3.21003i | −0.329507 | − | 0.140097i | ||||
\(526\) | 0.583063 | − | 3.30671i | 0.0254228 | − | 0.144180i | ||||
\(527\) | −7.36800 | + | 41.7860i | −0.320955 | + | 1.82023i | ||||
\(528\) | −4.93026 | − | 2.09620i | −0.214562 | − | 0.0912256i | ||||
\(529\) | −3.22114 | + | 2.70286i | −0.140050 | + | 0.117516i | ||||
\(530\) | 0.708504 | − | 1.22717i | 0.0307755 | − | 0.0533046i | ||||
\(531\) | −7.41356 | − | 16.7042i | −0.321721 | − | 0.724899i | ||||
\(532\) | −2.98025 | − | 5.16195i | −0.129210 | − | 0.223799i | ||||
\(533\) | −50.4342 | − | 18.3565i | −2.18455 | − | 0.795110i | ||||
\(534\) | 1.51478 | + | 2.97726i | 0.0655509 | + | 0.128839i | ||||
\(535\) | −4.04260 | − | 3.39214i | −0.174777 | − | 0.146655i | ||||
\(536\) | −1.62388 | + | 0.591044i | −0.0701409 | + | 0.0255292i | ||||
\(537\) | −12.3089 | − | 11.4918i | −0.531169 | − | 0.495910i | ||||
\(538\) | 1.09999 | + | 6.23838i | 0.0474241 | + | 0.268955i | ||||
\(539\) | −3.09308 | −0.133229 | ||||||||
\(540\) | −2.28830 | + | 1.36944i | −0.0984730 | + | 0.0589315i | ||||
\(541\) | −11.6829 | −0.502287 | −0.251144 | − | 0.967950i | \(-0.580807\pi\) | ||||
−0.251144 | + | 0.967950i | \(0.580807\pi\) | |||||||
\(542\) | −4.63048 | − | 26.2607i | −0.198896 | − | 1.12800i | ||||
\(543\) | −6.70492 | + | 2.04557i | −0.287736 | + | 0.0877840i | ||||
\(544\) | −4.74984 | + | 1.72880i | −0.203648 | + | 0.0741217i | ||||
\(545\) | −5.19137 | − | 4.35607i | −0.222374 | − | 0.186594i | ||||
\(546\) | −5.07292 | + | 7.80152i | −0.217101 | + | 0.333874i | ||||
\(547\) | −30.4578 | − | 11.0857i | −1.30228 | − | 0.473992i | −0.404542 | − | 0.914519i | \(-0.632569\pi\) |
−0.897739 | + | 0.440528i | \(0.854791\pi\) | |||||||
\(548\) | 6.99156 | + | 12.1097i | 0.298664 | + | 0.517302i | ||||
\(549\) | 11.4665 | + | 11.9020i | 0.489378 | + | 0.507964i | ||||
\(550\) | −7.32535 | + | 12.6879i | −0.312354 | + | 0.541013i | ||||
\(551\) | 17.4518 | − | 14.6438i | 0.743471 | − | 0.623847i | ||||
\(552\) | 5.99963 | − | 4.51550i | 0.255361 | − | 0.192192i | ||||
\(553\) | −1.55175 | + | 8.80041i | −0.0659871 | + | 0.374232i | ||||
\(554\) | −4.99847 | + | 28.3477i | −0.212365 | + | 1.20438i | ||||
\(555\) | −0.699801 | − | 5.72736i | −0.0297049 | − | 0.243113i | ||||
\(556\) | −15.4983 | + | 13.0046i | −0.657273 | + | 0.551518i | ||||
\(557\) | 18.7993 | − | 32.5613i | 0.796550 | − | 1.37967i | −0.125300 | − | 0.992119i | \(-0.539989\pi\) |
0.921850 | − | 0.387546i | \(-0.126677\pi\) | |||||||
\(558\) | −1.72703 | − | 25.1237i | −0.0731108 | − | 1.06357i | ||||
\(559\) | −19.2791 | − | 33.3924i | −0.815418 | − | 1.41235i | ||||
\(560\) | −0.482271 | − | 0.175532i | −0.0203797 | − | 0.00741759i | ||||
\(561\) | 27.0418 | + | 1.43321i | 1.14171 | + | 0.0605100i | ||||
\(562\) | −3.47016 | − | 2.91181i | −0.146380 | − | 0.122827i | ||||
\(563\) | −26.2543 | + | 9.55578i | −1.10649 | + | 0.402728i | −0.829703 | − | 0.558205i | \(-0.811490\pi\) |
−0.276783 | + | 0.960933i | \(0.589268\pi\) | |||||||
\(564\) | 5.29579 | − | 22.8770i | 0.222993 | − | 0.963295i | ||||
\(565\) | 1.42769 | + | 8.09681i | 0.0600632 | + | 0.340635i | ||||
\(566\) | 10.9122 | 0.458674 | ||||||||
\(567\) | −2.76094 | − | 8.56605i | −0.115949 | − | 0.359740i | ||||
\(568\) | 2.53166 | 0.106226 | ||||||||
\(569\) | −2.21987 | − | 12.5895i | −0.0930616 | − | 0.527778i | −0.995324 | − | 0.0965914i | \(-0.969206\pi\) |
0.902263 | − | 0.431187i | \(-0.141905\pi\) | |||||||
\(570\) | −1.19494 | + | 5.16195i | −0.0500505 | + | 0.216210i | ||||
\(571\) | 9.72516 | − | 3.53967i | 0.406985 | − | 0.148131i | −0.130412 | − | 0.991460i | \(-0.541630\pi\) |
0.537397 | + | 0.843329i | \(0.319408\pi\) | |||||||
\(572\) | 12.7303 | + | 10.6820i | 0.532282 | + | 0.446637i | ||||
\(573\) | 7.71395 | + | 0.408836i | 0.322255 | + | 0.0170794i | ||||
\(574\) | 9.38709 | + | 3.41662i | 0.391809 | + | 0.142607i | ||||
\(575\) | −10.2674 | − | 17.7836i | −0.428179 | − | 0.741628i | ||||
\(576\) | 2.48909 | − | 1.67464i | 0.103712 | − | 0.0697768i | ||||
\(577\) | −10.5631 | + | 18.2958i | −0.439748 | + | 0.761665i | −0.997670 | − | 0.0682282i | \(-0.978265\pi\) |
0.557922 | + | 0.829893i | \(0.311599\pi\) | |||||||
\(578\) | 6.54947 | − | 5.49566i | 0.272422 | − | 0.228589i | ||||
\(579\) | 5.43223 | + | 44.4588i | 0.225756 | + | 1.84765i | ||||
\(580\) | 0.340627 | − | 1.93179i | 0.0141438 | − | 0.0802132i | ||||
\(581\) | 1.50665 | − | 8.54461i | 0.0625062 | − | 0.354490i | ||||
\(582\) | −20.5900 | + | 15.4966i | −0.853484 | + | 0.642357i | ||||
\(583\) | 6.54203 | − | 5.48942i | 0.270943 | − | 0.227348i | ||||
\(584\) | 4.87689 | − | 8.44701i | 0.201807 | − | 0.349540i | ||||
\(585\) | 8.02883 | − | 1.99175i | 0.331951 | − | 0.0823487i | ||||
\(586\) | 4.02253 | + | 6.96723i | 0.166169 | + | 0.287814i | ||||
\(587\) | 2.62900 | + | 0.956877i | 0.108510 | + | 0.0394945i | 0.395705 | − | 0.918378i | \(-0.370500\pi\) |
−0.287194 | + | 0.957872i | \(0.592723\pi\) | |||||||
\(588\) | 0.944200 | − | 1.45206i | 0.0389381 | − | 0.0598821i | ||||
\(589\) | −38.3286 | − | 32.1615i | −1.57930 | − | 1.32519i | ||||
\(590\) | −2.93790 | + | 1.06931i | −0.120951 | + | 0.0440227i | ||||
\(591\) | 14.8357 | − | 4.52616i | 0.610260 | − | 0.186181i | ||||
\(592\) | 1.12714 | + | 6.39232i | 0.0463251 | + | 0.262723i | ||||
\(593\) | 36.6385 | 1.50456 | 0.752281 | − | 0.658842i | \(-0.228954\pi\) | ||||
0.752281 | + | 0.658842i | \(0.228954\pi\) | |||||||
\(594\) | −15.7822 | + | 3.03877i | −0.647553 | + | 0.124682i | ||||
\(595\) | 2.59417 | 0.106351 | ||||||||
\(596\) | 2.96384 | + | 16.8088i | 0.121404 | + | 0.688515i | ||||
\(597\) | 15.7906 | + | 14.7424i | 0.646267 | + | 0.603367i | ||||
\(598\) | −21.8878 | + | 7.96650i | −0.895058 | + | 0.325775i | ||||
\(599\) | 7.47015 | + | 6.26820i | 0.305222 | + | 0.256112i | 0.782514 | − | 0.622633i | \(-0.213937\pi\) |
−0.477292 | + | 0.878745i | \(0.658382\pi\) | |||||||
\(600\) | −3.72024 | − | 7.31205i | −0.151878 | − | 0.298513i | ||||
\(601\) | −20.2947 | − | 7.38665i | −0.827836 | − | 0.301308i | −0.106866 | − | 0.994273i | \(-0.534082\pi\) |
−0.720971 | + | 0.692966i | \(0.756304\pi\) | |||||||
\(602\) | 3.58833 | + | 6.21517i | 0.146249 | + | 0.253312i | ||||
\(603\) | −3.05220 | + | 4.19058i | −0.124295 | + | 0.170654i | ||||
\(604\) | 2.13012 | − | 3.68947i | 0.0866732 | − | 0.150122i | ||||
\(605\) | −0.563320 | + | 0.472682i | −0.0229022 | + | 0.0192173i | ||||
\(606\) | −9.78570 | − | 4.16060i | −0.397517 | − | 0.169013i | ||||
\(607\) | −1.42435 | + | 8.07788i | −0.0578125 | + | 0.327871i | −0.999973 | − | 0.00728976i | \(-0.997680\pi\) |
0.942161 | + | 0.335161i | \(0.108791\pi\) | |||||||
\(608\) | 1.03503 | − | 5.86995i | 0.0419760 | − | 0.238058i | ||||
\(609\) | 6.09229 | + | 2.59027i | 0.246872 | + | 0.104963i | ||||
\(610\) | 2.16585 | − | 1.81736i | 0.0876927 | − | 0.0735829i | ||||
\(611\) | −36.4198 | + | 63.0809i | −1.47339 | + | 2.55198i | ||||
\(612\) | −8.92766 | + | 12.2574i | −0.360879 | + | 0.495477i | ||||
\(613\) | 18.8418 | + | 32.6349i | 0.761012 | + | 1.31811i | 0.942330 | + | 0.334686i | \(0.108630\pi\) |
−0.181318 | + | 0.983425i | \(0.558036\pi\) | |||||||
\(614\) | 13.0739 | + | 4.75852i | 0.527621 | + | 0.192038i | ||||
\(615\) | −4.02675 | − | 7.91448i | −0.162374 | − | 0.319143i | ||||
\(616\) | −2.36944 | − | 1.98820i | −0.0954674 | − | 0.0801067i | ||||
\(617\) | −42.3929 | + | 15.4298i | −1.70667 | + | 0.621179i | −0.996557 | − | 0.0829055i | \(-0.973580\pi\) |
−0.710117 | + | 0.704084i | \(0.751358\pi\) | |||||||
\(618\) | 4.00402 | + | 3.73823i | 0.161065 | + | 0.150374i | ||||
\(619\) | 3.45021 | + | 19.5671i | 0.138676 | + | 0.786468i | 0.972229 | + | 0.234030i | \(0.0751914\pi\) |
−0.833554 | + | 0.552438i | \(0.813697\pi\) | |||||||
\(620\) | −4.30816 | −0.173020 | ||||||||
\(621\) | 7.37179 | − | 21.2867i | 0.295820 | − | 0.854207i | ||||
\(622\) | −33.8085 | −1.35560 | ||||||||
\(623\) | 0.334900 | + | 1.89931i | 0.0134175 | + | 0.0760944i | ||||
\(624\) | −8.90080 | + | 2.71551i | −0.356317 | + | 0.108707i | ||||
\(625\) | −19.8448 | + | 7.22293i | −0.793793 | + | 0.288917i | ||||
\(626\) | 3.00461 | + | 2.52117i | 0.120088 | + | 0.100766i | ||||
\(627\) | −17.4076 | + | 26.7707i | −0.695192 | + | 1.06912i | ||||
\(628\) | −3.97346 | − | 1.44622i | −0.158558 | − | 0.0577105i | ||||
\(629\) | −16.4048 | − | 28.4139i | −0.654101 | − | 1.13294i | ||||
\(630\) | −1.49437 | + | 0.370715i | −0.0595371 | + | 0.0147697i | ||||
\(631\) | 17.5749 | − | 30.4407i | 0.699647 | − | 1.21182i | −0.268941 | − | 0.963157i | \(-0.586674\pi\) |
0.968589 | − | 0.248668i | \(-0.0799929\pi\) | |||||||
\(632\) | −6.84550 | + | 5.74406i | −0.272300 | + | 0.228486i | ||||
\(633\) | 10.8846 | − | 8.19205i | 0.432623 | − | 0.325605i | ||||
\(634\) | 0.849946 | − | 4.82029i | 0.0337557 | − | 0.191438i | ||||
\(635\) | −0.312091 | + | 1.76996i | −0.0123850 | + | 0.0702386i | ||||
\(636\) | 0.580002 | + | 4.74690i | 0.0229986 | + | 0.188227i | ||||
\(637\) | −4.11574 | + | 3.45351i | −0.163072 | + | 0.136833i | ||||
\(638\) | 5.91105 | − | 10.2382i | 0.234021 | − | 0.405336i | ||||
\(639\) | 6.30153 | − | 4.23962i | 0.249285 | − | 0.167717i | ||||
\(640\) | −0.256611 | − | 0.444463i | −0.0101434 | − | 0.0175690i | ||||
\(641\) | 7.69810 | + | 2.80188i | 0.304057 | + | 0.110668i | 0.489543 | − | 0.871979i | \(-0.337164\pi\) |
−0.185486 | + | 0.982647i | \(0.559386\pi\) | |||||||
\(642\) | 17.7850 | + | 0.942595i | 0.701916 | + | 0.0372013i | ||||
\(643\) | 7.84382 | + | 6.58174i | 0.309330 | + | 0.259559i | 0.784215 | − | 0.620489i | \(-0.213066\pi\) |
−0.474885 | + | 0.880048i | \(0.657510\pi\) | |||||||
\(644\) | 4.07388 | − | 1.48277i | 0.160533 | − | 0.0584293i | ||||
\(645\) | 1.43875 | − | 6.21517i | 0.0566507 | − | 0.244722i | ||||
\(646\) | 5.23174 | + | 29.6707i | 0.205840 | + | 1.16738i | ||||
\(647\) | 22.9408 | 0.901895 | 0.450947 | − | 0.892551i | \(-0.351086\pi\) | ||||
0.450947 | + | 0.892551i | \(0.351086\pi\) | |||||||
\(648\) | 3.39115 | − | 8.33667i | 0.133217 | − | 0.327495i | ||||
\(649\) | −18.8424 | −0.739630 | ||||||||
\(650\) | 4.41907 | + | 25.0618i | 0.173330 | + | 0.983005i | ||||
\(651\) | 3.27901 | − | 14.1648i | 0.128515 | − | 0.555163i | ||||
\(652\) | −7.44393 | + | 2.70937i | −0.291527 | + | 0.106107i | ||||
\(653\) | −18.0260 | − | 15.1256i | −0.705412 | − | 0.591911i | 0.217895 | − | 0.975972i | \(-0.430081\pi\) |
−0.923308 | + | 0.384061i | \(0.874525\pi\) | |||||||
\(654\) | 22.8388 | + | 1.21045i | 0.893069 | + | 0.0473323i | ||||
\(655\) | 0.544777 | + | 0.198283i | 0.0212862 | + | 0.00774755i | ||||
\(656\) | 4.99477 | + | 8.65119i | 0.195013 | + | 0.337772i | ||||
\(657\) | −2.00671 | − | 29.1924i | −0.0782893 | − | 1.13890i | ||||
\(658\) | 6.77865 | − | 11.7410i | 0.264259 | − | 0.457711i | ||||
\(659\) | 15.2377 | − | 12.7859i | 0.593575 | − | 0.498068i | −0.295798 | − | 0.955250i | \(-0.595586\pi\) |
0.889373 | + | 0.457182i | \(0.151141\pi\) | |||||||
\(660\) | 0.333472 | + | 2.72923i | 0.0129804 | + | 0.106235i | ||||
\(661\) | −2.83097 | + | 16.0552i | −0.110112 | + | 0.624477i | 0.878943 | + | 0.476928i | \(0.158250\pi\) |
−0.989055 | + | 0.147549i | \(0.952862\pi\) | |||||||
\(662\) | −3.79111 | + | 21.5004i | −0.147346 | + | 0.835638i | ||||
\(663\) | 37.5828 | − | 28.2859i | 1.45960 | − | 1.09853i | ||||
\(664\) | 6.64653 | − | 5.57710i | 0.257935 | − | 0.216433i | ||||
\(665\) | −1.52953 | + | 2.64923i | −0.0593127 | + | 0.102733i | ||||
\(666\) | 13.5104 | + | 14.0235i | 0.523517 | + | 0.543400i | ||||
\(667\) | 8.28505 | + | 14.3501i | 0.320799 | + | 0.555639i | ||||
\(668\) | 4.32897 | + | 1.57562i | 0.167493 | + | 0.0609624i | ||||
\(669\) | 16.1373 | − | 24.8172i | 0.623906 | − | 0.959490i | ||||
\(670\) | 0.679403 | + | 0.570086i | 0.0262476 | + | 0.0220244i | ||||
\(671\) | 16.0120 | − | 5.82791i | 0.618138 | − | 0.224984i | ||||
\(672\) | 1.65667 | − | 0.505425i | 0.0639073 | − | 0.0194972i | ||||
\(673\) | 4.81479 | + | 27.3060i | 0.185597 | + | 1.05257i | 0.925187 | + | 0.379513i | \(0.123908\pi\) |
−0.739590 | + | 0.673058i | \(0.764981\pi\) | |||||||
\(674\) | −5.26884 | −0.202948 | ||||||||
\(675\) | −21.5051 | − | 11.9703i | −0.827731 | − | 0.460736i | ||||
\(676\) | 15.8661 | 0.610234 | ||||||||
\(677\) | 3.75569 | + | 21.2996i | 0.144343 | + | 0.818610i | 0.967892 | + | 0.251365i | \(0.0808796\pi\) |
−0.823549 | + | 0.567245i | \(0.808009\pi\) | |||||||
\(678\) | −20.2818 | − | 18.9354i | −0.778917 | − | 0.727211i | ||||
\(679\) | −13.9811 | + | 5.08869i | −0.536544 | + | 0.195286i | ||||
\(680\) | 1.98725 | + | 1.66750i | 0.0762076 | + | 0.0639457i | ||||
\(681\) | −5.18476 | − | 10.1905i | −0.198681 | − | 0.390502i | ||||
\(682\) | −24.3985 | − | 8.88034i | −0.934268 | − | 0.340046i | ||||
\(683\) | 8.72771 | + | 15.1168i | 0.333957 | + | 0.578430i | 0.983284 | − | 0.182079i | \(-0.0582828\pi\) |
−0.649327 | + | 0.760509i | \(0.724949\pi\) | |||||||
\(684\) | −7.25378 | − | 16.3441i | −0.277355 | − | 0.624934i | ||||
\(685\) | 3.58822 | − | 6.21498i | 0.137099 | − | 0.237462i | ||||
\(686\) | 0.766044 | − | 0.642788i | 0.0292477 | − | 0.0245417i | ||||
\(687\) | −7.60066 | − | 3.23158i | −0.289983 | − | 0.123293i | ||||
\(688\) | −1.24621 | + | 7.06763i | −0.0475115 | + | 0.269451i | ||||
\(689\) | 2.57591 | − | 14.6087i | 0.0981345 | − | 0.556548i | ||||
\(690\) | −3.54654 | − | 1.50789i | −0.135015 | − | 0.0574044i | ||||
\(691\) | 3.38648 | − | 2.84159i | 0.128828 | − | 0.108099i | −0.576097 | − | 0.817381i | \(-0.695425\pi\) |
0.704925 | + | 0.709282i | \(0.250981\pi\) | |||||||
\(692\) | 9.07186 | − | 15.7129i | 0.344860 | − | 0.597316i | ||||
\(693\) | −9.22727 | − | 0.980837i | −0.350515 | − | 0.0372589i | ||||
\(694\) | 8.64990 | + | 14.9821i | 0.328346 | + | 0.568711i | ||||
\(695\) | 9.75709 | + | 3.55129i | 0.370108 | + | 0.134708i | ||||
\(696\) | 3.00198 | + | 5.90031i | 0.113790 | + | 0.223651i | ||||
\(697\) | −38.6805 | − | 32.4568i | −1.46513 | − | 1.22939i | ||||
\(698\) | −10.2589 | + | 3.73394i | −0.388305 | + | 0.141332i | ||||
\(699\) | 22.9288 | + | 21.4068i | 0.867247 | + | 0.809678i | ||||
\(700\) | −0.822502 | − | 4.66464i | −0.0310877 | − | 0.176307i | ||||
\(701\) | 16.3363 | 0.617014 | 0.308507 | − | 0.951222i | \(-0.400171\pi\) | ||||
0.308507 | + | 0.951222i | \(0.400171\pi\) | |||||||
\(702\) | −17.6074 | + | 21.6648i | −0.664549 | + | 0.817685i | ||||
\(703\) | 38.6892 | 1.45919 | ||||||||
\(704\) | −0.537108 | − | 3.04609i | −0.0202430 | − | 0.114804i | ||||
\(705\) | −11.5269 | + | 3.51670i | −0.434130 | + | 0.132447i | ||||
\(706\) | −13.6157 | + | 4.95570i | −0.512432 | + | 0.186510i | ||||
\(707\) | −4.70293 | − | 3.94622i | −0.176872 | − | 0.148413i | ||||
\(708\) | 5.75187 | − | 8.84567i | 0.216169 | − | 0.332441i | ||||
\(709\) | 26.2680 | + | 9.56078i | 0.986517 | + | 0.359063i | 0.784370 | − | 0.620293i | \(-0.212986\pi\) |
0.202146 | + | 0.979355i | \(0.435208\pi\) | |||||||
\(710\) | −0.649651 | − | 1.12523i | −0.0243810 | − | 0.0422291i | ||||
\(711\) | −7.41984 | + | 25.7613i | −0.278266 | + | 0.966123i | ||||
\(712\) | −0.964307 | + | 1.67023i | −0.0361389 | + | 0.0625944i | ||||
\(713\) | 27.8780 | − | 23.3925i | 1.04404 | − | 0.876054i | ||||
\(714\) | −6.99512 | + | 5.26473i | −0.261786 | + | 0.197028i | ||||
\(715\) | 1.48102 | − | 8.39928i | 0.0553870 | − | 0.314115i | ||||
\(716\) | 1.68827 | − | 9.57464i | 0.0630935 | − | 0.357821i | ||||
\(717\) | −4.95520 | − | 40.5547i | −0.185055 | − | 1.51454i | ||||
\(718\) | 18.9446 | − | 15.8964i | 0.707005 | − | 0.593247i | ||||
\(719\) | −10.0464 | + | 17.4008i | −0.374666 | + | 0.648941i | −0.990277 | − | 0.139109i | \(-0.955576\pi\) |
0.615611 | + | 0.788050i | \(0.288909\pi\) | |||||||
\(720\) | −1.38305 | − | 0.676578i | −0.0515431 | − | 0.0252146i | ||||
\(721\) | 1.58131 | + | 2.73891i | 0.0588912 | + | 0.102002i | ||||
\(722\) | −15.5309 | − | 5.65277i | −0.577999 | − | 0.210374i | ||||
\(723\) | −37.7171 | − | 1.99899i | −1.40271 | − | 0.0743432i | ||||
\(724\) | −3.10036 | − | 2.60151i | −0.115224 | − | 0.0966845i | ||||
\(725\) | 17.0120 | − | 6.19187i | 0.631811 | − | 0.229960i | ||||
\(726\) | 0.559698 | − | 2.41781i | 0.0207723 | − | 0.0897332i | ||||
\(727\) | −5.47673 | − | 31.0601i | −0.203121 | − | 1.15195i | −0.900370 | − | 0.435126i | \(-0.856704\pi\) |
0.697249 | − | 0.716829i | \(-0.254407\pi\) | |||||||
\(728\) | −5.37272 | −0.199126 | ||||||||
\(729\) | −5.52007 | − | 26.4297i | −0.204447 | − | 0.978878i | ||||
\(730\) | −5.00585 | −0.185275 | ||||||||
\(731\) | −6.29921 | − | 35.7246i | −0.232985 | − | 1.32132i | ||||
\(732\) | −2.15192 | + | 9.29597i | −0.0795373 | + | 0.343589i | ||||
\(733\) | 30.1139 | − | 10.9606i | 1.11228 | − | 0.404838i | 0.280452 | − | 0.959868i | \(-0.409516\pi\) |
0.831830 | + | 0.555030i | \(0.187293\pi\) | |||||||
\(734\) | 7.71748 | + | 6.47573i | 0.284857 | + | 0.239024i | ||||
\(735\) | −0.887681 | − | 0.0470467i | −0.0327426 | − | 0.00173534i | ||||
\(736\) | 4.07388 | + | 1.48277i | 0.150165 | + | 0.0546557i | ||||
\(737\) | 2.67257 | + | 4.62903i | 0.0984455 | + | 0.170513i | ||||
\(738\) | 26.9201 | + | 13.1691i | 0.990941 | + | 0.484763i | ||||
\(739\) | 23.4176 | − | 40.5605i | 0.861431 | − | 1.49204i | −0.00911643 | − | 0.999958i | \(-0.502902\pi\) |
0.870548 | − | 0.492084i | \(-0.163765\pi\) | |||||||
\(740\) | 2.55191 | − | 2.14131i | 0.0938102 | − | 0.0787161i | ||||
\(741\) | 6.72728 | + | 55.0579i | 0.247133 | + | 2.02260i | ||||
\(742\) | −0.479443 | + | 2.71906i | −0.0176009 | + | 0.0998198i | ||||
\(743\) | −7.11612 | + | 40.3575i | −0.261065 | + | 1.48057i | 0.518946 | + | 0.854807i | \(0.326325\pi\) |
−0.780011 | + | 0.625766i | \(0.784786\pi\) | |||||||
\(744\) | 11.6168 | − | 8.74318i | 0.425894 | − | 0.320541i | ||||
\(745\) | 6.71034 | − | 5.63064i | 0.245848 | − | 0.206291i | ||||
\(746\) | −10.1611 | + | 17.5995i | −0.372024 | + | 0.644365i | ||||
\(747\) | 7.20417 | − | 25.0125i | 0.263587 | − | 0.915158i | ||||
\(748\) | 7.81726 | + | 13.5399i | 0.285827 | + | 0.495068i | ||||
\(749\) | 9.66245 | + | 3.51684i | 0.353058 | + | 0.128503i | ||||
\(750\) | −4.71820 | + | 7.25602i | −0.172284 | + | 0.264952i | ||||
\(751\) | −16.1793 | − | 13.5761i | −0.590393 | − | 0.495398i | 0.297949 | − | 0.954582i | \(-0.403698\pi\) |
−0.888341 | + | 0.459184i | \(0.848142\pi\) | |||||||
\(752\) | 12.7397 | − | 4.63687i | 0.464569 | − | 0.169089i | ||||
\(753\) | 16.1996 | − | 4.94226i | 0.590345 | − | 0.180106i | ||||
\(754\) | −3.56588 | − | 20.2231i | −0.129862 | − | 0.736483i | ||||
\(755\) | −2.18644 | −0.0795728 | ||||||||
\(756\) | 3.27719 | − | 4.03237i | 0.119190 | − | 0.146656i | ||||
\(757\) | 48.2596 | 1.75402 | 0.877012 | − | 0.480468i | \(-0.159533\pi\) | ||||
0.877012 | + | 0.480468i | \(0.159533\pi\) | |||||||
\(758\) | −1.34783 | − | 7.64394i | −0.0489555 | − | 0.277640i | ||||
\(759\) | −16.9771 | − | 15.8501i | −0.616229 | − | 0.575323i | ||||
\(760\) | −2.87458 | + | 1.04626i | −0.104272 | + | 0.0379519i | ||||
\(761\) | 27.2550 | + | 22.8697i | 0.987994 | + | 0.829025i | 0.985276 | − | 0.170971i | \(-0.0546904\pi\) |
0.00271790 | + | 0.999996i | \(0.499135\pi\) | |||||||
\(762\) | −2.75049 | − | 5.40602i | −0.0996397 | − | 0.195839i | ||||
\(763\) | 12.4082 | + | 4.51621i | 0.449206 | + | 0.163498i | ||||
\(764\) | 2.22995 | + | 3.86239i | 0.0806768 | + | 0.139736i | ||||
\(765\) | 7.73891 | + | 0.822629i | 0.279801 | + | 0.0297422i | ||||
\(766\) | 3.96206 | − | 6.86250i | 0.143155 | − | 0.247952i | ||||
\(767\) | −25.0722 | + | 21.0381i | −0.905306 | + | 0.759642i | ||||
\(768\) | 1.59396 | + | 0.677707i | 0.0575171 | + | 0.0244546i | ||||
\(769\) | −1.86313 | + | 10.5663i | −0.0671861 | + | 0.381031i | 0.932611 | + | 0.360883i | \(0.117525\pi\) |
−0.999797 | + | 0.0201477i | \(0.993586\pi\) | |||||||
\(770\) | −0.275656 | + | 1.56332i | −0.00993395 | + | 0.0563382i | ||||
\(771\) | 19.4260 | + | 8.25938i | 0.699610 | + | 0.297454i | ||||
\(772\) | −19.8093 | + | 16.6220i | −0.712952 | + | 0.598238i | ||||
\(773\) | 2.35031 | − | 4.07086i | 0.0845350 | − | 0.146419i | −0.820658 | − | 0.571420i | \(-0.806393\pi\) |
0.905193 | + | 0.425001i | \(0.139726\pi\) | |||||||
\(774\) | 8.73382 | + | 19.6789i | 0.313931 | + | 0.707345i | ||||
\(775\) | −19.8803 | − | 34.4337i | −0.714122 | − | 1.23690i | ||||
\(776\) | −13.9811 | − | 5.08869i | −0.501891 | − | 0.182673i | ||||
\(777\) | 5.09813 | + | 10.0203i | 0.182894 | + | 0.359475i | ||||
\(778\) | −5.08046 | − | 4.26301i | −0.182143 | − | 0.152836i | ||||
\(779\) | 55.9518 | − | 20.3648i | 2.00468 | − | 0.729644i | ||||
\(780\) | 3.49099 | + | 3.25925i | 0.124997 | + | 0.116700i | ||||
\(781\) | −1.35977 | − | 7.71167i | −0.0486566 | − | 0.275945i | ||||
\(782\) | −21.9137 | −0.783632 | ||||||||
\(783\) | 17.3531 | + | 9.65918i | 0.620149 | + | 0.345191i | ||||
\(784\) | 1.00000 | 0.0357143 | ||||||||
\(785\) | 0.376841 | + | 2.13717i | 0.0134500 | + | 0.0762790i | ||||
\(786\) | −1.87139 | + | 0.570932i | −0.0667501 | + | 0.0203645i | ||||
\(787\) | 40.6653 | − | 14.8010i | 1.44956 | − | 0.527597i | 0.507093 | − | 0.861891i | \(-0.330720\pi\) |
0.942469 | + | 0.334294i | \(0.108498\pi\) | |||||||
\(788\) | 6.86005 | + | 5.75626i | 0.244379 | + | 0.205058i | ||||
\(789\) | 3.17036 | − | 4.87563i | 0.112868 | − | 0.173577i | ||||
\(790\) | 4.30966 | + | 1.56859i | 0.153331 | + | 0.0558078i | ||||
\(791\) | −8.00990 | − | 13.8735i | −0.284799 | − | 0.493287i | ||||
\(792\) | −6.43803 | − | 6.68254i | −0.228765 | − | 0.237454i | ||||
\(793\) | 14.7990 | − | 25.6327i | 0.525529 | − | 0.910242i | ||||
\(794\) | 21.5070 | − | 18.0465i | 0.763254 | − | 0.640446i | ||||
\(795\) | 1.96099 | − | 1.47590i | 0.0695490 | − | 0.0523446i | ||||
\(796\) | −2.16581 | + | 12.2829i | −0.0767651 | + | 0.435356i | ||||
\(797\) | −4.90734 | + | 27.8309i | −0.173827 | + | 0.985821i | 0.765662 | + | 0.643243i | \(0.222411\pi\) |
−0.939489 | + | 0.342579i | \(0.888700\pi\) | |||||||
\(798\) | −1.25212 | − | 10.2477i | −0.0443245 | − | 0.362764i | ||||
\(799\) | −52.4953 | + | 44.0488i | −1.85715 | + | 1.55833i | ||||
\(800\) | 2.36830 | − | 4.10202i | 0.0837321 | − | 0.145028i | ||||
\(801\) | 0.396787 | + | 5.77222i | 0.0140198 | + | 0.203951i | ||||
\(802\) | −4.43937 | − | 7.68922i | −0.156760 | − | 0.271516i | ||||
\(803\) | −28.3498 | − | 10.3185i | −1.00044 | − | 0.364131i | ||||
\(804\) | −2.98896 | − | 0.158413i | −0.105412 | − | 0.00558681i | ||||
\(805\) | −1.70444 | − | 1.43019i | −0.0600736 | − | 0.0504077i | ||||
\(806\) | −42.3805 | + | 15.4252i | −1.49279 | + | 0.543331i | ||||
\(807\) | −2.47444 | + | 10.6892i | −0.0871045 | + | 0.376278i | ||||
\(808\) | −1.06607 | − | 6.04596i | −0.0375041 | − | 0.212696i | ||||
\(809\) | 37.0879 | 1.30394 | 0.651970 | − | 0.758245i | \(-0.273943\pi\) | ||||
0.651970 | + | 0.758245i | \(0.273943\pi\) | |||||||
\(810\) | −4.57555 | + | 0.632041i | −0.160768 | + | 0.0222077i | ||||
\(811\) | −26.3365 | −0.924801 | −0.462401 | − | 0.886671i | \(-0.653012\pi\) | ||||
−0.462401 | + | 0.886671i | \(0.653012\pi\) | |||||||
\(812\) | 0.663702 | + | 3.76404i | 0.0232914 | + | 0.132092i | ||||
\(813\) | 10.4163 | − | 44.9967i | 0.365315 | − | 1.57810i | ||||
\(814\) | 18.8662 | − | 6.86673i | 0.661260 | − | 0.240679i | ||||
\(815\) | 3.11441 | + | 2.61330i | 0.109093 | + | 0.0915399i | ||||
\(816\) | −8.74268 | − | 0.463358i | −0.306055 | − | 0.0162208i | ||||
\(817\) | 40.1968 | + | 14.6304i | 1.40631 | + | 0.511854i | ||||
\(818\) | 0.797302 | + | 1.38097i | 0.0278770 | + | 0.0482844i | ||||
\(819\) | −13.3732 | + | 8.99738i | −0.467297 | + | 0.314394i | ||||
\(820\) | 2.56342 | − | 4.43998i | 0.0895186 | − | 0.155051i | ||||
\(821\) | −14.3169 | + | 12.0133i | −0.499663 | + | 0.419267i | −0.857474 | − | 0.514527i | \(-0.827968\pi\) |
0.357811 | + | 0.933794i | \(0.383523\pi\) | |||||||
\(822\) | 2.93742 | + | 24.0407i | 0.102454 | + | 0.838515i | ||||
\(823\) | −0.940761 | + | 5.33532i | −0.0327929 | + | 0.185978i | −0.996804 | − | 0.0798836i | \(-0.974545\pi\) |
0.964011 | + | 0.265861i | \(0.0856563\pi\) | |||||||
\(824\) | −0.549184 | + | 3.11458i | −0.0191317 | + | 0.108501i | ||||
\(825\) | −20.2750 | + | 15.2596i | −0.705885 | + | 0.531270i | ||||
\(826\) | 4.66659 | − | 3.91573i | 0.162371 | − | 0.136246i | ||||
\(827\) | 17.1585 | − | 29.7193i | 0.596658 | − | 1.03344i | −0.396653 | − | 0.917969i | \(-0.629828\pi\) |
0.993311 | − | 0.115473i | \(-0.0368384\pi\) | |||||||
\(828\) | 12.6234 | − | 3.13154i | 0.438692 | − | 0.108828i | ||||
\(829\) | −8.22115 | − | 14.2395i | −0.285532 | − | 0.494557i | 0.687206 | − | 0.726463i | \(-0.258837\pi\) |
−0.972738 | + | 0.231906i | \(0.925504\pi\) | |||||||
\(830\) | −4.18439 | − | 1.52299i | −0.145242 | − | 0.0528638i | ||||
\(831\) | −27.1788 | + | 41.7977i | −0.942823 | + | 1.44995i | ||||
\(832\) | −4.11574 | − | 3.45351i | −0.142688 | − | 0.119729i | ||||
\(833\) | −4.74984 | + | 1.72880i | −0.164572 | + | 0.0598994i | ||||
\(834\) | −33.5170 | + | 10.2255i | −1.16060 | + | 0.354081i | ||||
\(835\) | −0.410558 | − | 2.32839i | −0.0142079 | − | 0.0805772i | ||||
\(836\) | −18.4363 | −0.637634 | ||||||||
\(837\) | 14.2737 | − | 41.2166i | 0.493371 | − | 1.42466i | ||||
\(838\) | 12.8967 | 0.445509 | ||||||||
\(839\) | −9.20255 | − | 52.1903i | −0.317707 | − | 1.80181i | −0.556620 | − | 0.830767i | \(-0.687902\pi\) |
0.238912 | − | 0.971041i | \(-0.423209\pi\) | |||||||
\(840\) | −0.649762 | − | 0.606630i | −0.0224189 | − | 0.0209307i | ||||
\(841\) | 13.5236 | − | 4.92218i | 0.466330 | − | 0.169730i | ||||
\(842\) | −24.8963 | − | 20.8905i | −0.857982 | − | 0.719933i | ||||
\(843\) | −3.55795 | − | 6.99306i | −0.122542 | − | 0.240854i | ||||
\(844\) | 7.39087 | + | 2.69005i | 0.254404 | + | 0.0925955i | ||||
\(845\) | −4.07141 | − | 7.05189i | −0.140061 | − | 0.242592i | ||||
\(846\) | 23.9452 | − | 32.8760i | 0.823252 | − | 1.13030i | ||||
\(847\) | 0.716417 | − | 1.24087i | 0.0246164 | − | 0.0426368i | ||||
\(848\) | −2.11505 | + | 1.77474i | −0.0726312 | + | 0.0609448i | ||||
\(849\) | 17.3936 | + | 7.39527i | 0.596947 | + | 0.253805i | ||||
\(850\) | −4.15748 | + | 23.5783i | −0.142600 | + | 0.808727i | ||||
\(851\) | −4.88651 | + | 27.7128i | −0.167508 | + | 0.949983i | ||||
\(852\) | 4.03537 | + | 1.71572i | 0.138249 | + | 0.0587797i | ||||
\(853\) | 23.6973 | − | 19.8844i | 0.811379 | − | 0.680828i | −0.139558 | − | 0.990214i | \(-0.544568\pi\) |
0.950936 | + | 0.309386i | \(0.100124\pi\) | |||||||
\(854\) | −2.75448 | + | 4.77089i | −0.0942563 | + | 0.163257i | ||||
\(855\) | −5.40297 | + | 7.41813i | −0.184778 | + | 0.253695i | ||||
\(856\) | 5.14128 | + | 8.90496i | 0.175725 | + | 0.304365i | ||||
\(857\) | −40.2822 | − | 14.6615i | −1.37601 | − | 0.500828i | −0.455046 | − | 0.890468i | \(-0.650377\pi\) |
−0.920967 | + | 0.389640i | \(0.872599\pi\) | |||||||
\(858\) | 13.0524 | + | 25.6541i | 0.445601 | + | 0.875818i | ||||
\(859\) | 28.4683 | + | 23.8878i | 0.971327 | + | 0.815040i | 0.982758 | − | 0.184894i | \(-0.0591943\pi\) |
−0.0114313 | + | 0.999935i | \(0.503639\pi\) | |||||||
\(860\) | 3.46110 | − | 1.25974i | 0.118022 | − | 0.0429566i | ||||
\(861\) | 12.6472 | + | 11.8077i | 0.431015 | + | 0.402404i | ||||
\(862\) | 3.40013 | + | 19.2831i | 0.115809 | + | 0.656784i | ||||
\(863\) | 4.75542 | 0.161876 | 0.0809381 | − | 0.996719i | \(-0.474208\pi\) | ||||
0.0809381 | + | 0.996719i | \(0.474208\pi\) | |||||||
\(864\) | 5.10243 | − | 0.982441i | 0.173588 | − | 0.0334233i | ||||
\(865\) | −9.31176 | −0.316609 | ||||||||
\(866\) | −0.534088 | − | 3.02896i | −0.0181491 | − | 0.102928i | ||||
\(867\) | 14.1641 | − | 4.32125i | 0.481037 | − | 0.146757i | ||||
\(868\) | 7.88809 | − | 2.87103i | 0.267739 | − | 0.0974491i | ||||
\(869\) | 21.1737 | + | 17.7669i | 0.718269 | + | 0.602699i | ||||
\(870\) | 1.85213 | − | 2.84835i | 0.0627932 | − | 0.0965682i | ||||
\(871\) | 8.72464 | + | 3.17551i | 0.295623 | + | 0.107598i | ||||
\(872\) | 6.60226 | + | 11.4354i | 0.223581 | + | 0.387253i | ||||
\(873\) | −43.3219 | + | 10.7471i | −1.46622 | + | 0.363733i | ||||
\(874\) | 12.9204 | − | 22.3788i | 0.437038 | − | 0.756973i | ||||
\(875\) | −3.82795 | + | 3.21204i | −0.129408 | + | 0.108587i | ||||
\(876\) | 13.4982 | − | 10.1591i | 0.456061 | − | 0.343245i | ||||
\(877\) | −8.73062 | + | 49.5138i | −0.294812 | + | 1.67196i | 0.373153 | + | 0.927770i | \(0.378277\pi\) |
−0.667965 | + | 0.744193i | \(0.732834\pi\) | |||||||
\(878\) | −3.41463 | + | 19.3653i | −0.115238 | + | 0.653547i | ||||
\(879\) | 1.69002 | + | 13.8316i | 0.0570030 | + | 0.466528i | ||||
\(880\) | −1.21605 | + | 1.02039i | −0.0409930 | + | 0.0343972i | ||||
\(881\) | −1.75568 | + | 3.04092i | −0.0591503 | + | 0.102451i | −0.894084 | − | 0.447899i | \(-0.852172\pi\) |
0.834934 | + | 0.550350i | \(0.185506\pi\) | |||||||
\(882\) | 2.48909 | − | 1.67464i | 0.0838121 | − | 0.0563881i | ||||
\(883\) | 18.2682 | + | 31.6415i | 0.614775 | + | 1.06482i | 0.990424 | + | 0.138059i | \(0.0440865\pi\) |
−0.375649 | + | 0.926762i | \(0.622580\pi\) | |||||||
\(884\) | 25.5195 | + | 9.28835i | 0.858315 | + | 0.312401i | ||||
\(885\) | −5.40757 | − | 0.286599i | −0.181774 | − | 0.00963392i | ||||
\(886\) | 20.0199 | + | 16.7987i | 0.672583 | + | 0.564364i | ||||
\(887\) | 10.1177 | − | 3.68254i | 0.339719 | − | 0.123648i | −0.166527 | − | 0.986037i | \(-0.553255\pi\) |
0.506246 | + | 0.862389i | \(0.331033\pi\) | |||||||
\(888\) | −2.53550 | + | 10.9530i | −0.0850859 | + | 0.367558i | ||||
\(889\) | −0.608101 | − | 3.44871i | −0.0203951 | − | 0.115666i | ||||
\(890\) | 0.989807 | 0.0331784 | ||||||||
\(891\) | −27.2157 | − | 5.85205i | −0.911760 | − | 0.196051i | ||||
\(892\) | 17.0910 | 0.572250 | ||||||||
\(893\) | −14.0322 | − | 79.5807i | −0.469571 | − | 2.66307i | ||||
\(894\) | −6.66718 | + | 28.8012i | −0.222984 | + | 0.963256i | ||||
\(895\) | −4.68881 | + | 1.70659i | −0.156729 | + | 0.0570449i | ||||
\(896\) | 0.766044 | + | 0.642788i | 0.0255917 | + | 0.0214740i | ||||
\(897\) | −40.2873 | − | 2.13521i | −1.34515 | − | 0.0712925i | ||||
\(898\) | 21.1246 | + | 7.68871i | 0.704936 | + | 0.256576i | ||||
\(899\) | 16.0420 | + | 27.7856i | 0.535031 | + | 0.926702i | ||||
\(900\) | −0.974495 | − | 14.1764i | −0.0324832 | − | 0.472545i | ||||
\(901\) | 6.97799 | − | 12.0862i | 0.232470 | − | 0.402651i | ||||
\(902\) | 23.6696 | − | 19.8611i | 0.788111 | − | 0.661304i | ||||
\(903\) | 1.50760 | + | 12.3386i | 0.0501697 | + | 0.410602i | ||||
\(904\) | 2.78181 | − | 15.7764i | 0.0925216 | − | 0.524716i | ||||
\(905\) | −0.360690 | + | 2.04557i | −0.0119897 | + | 0.0679972i | ||||
\(906\) | 5.89570 | − | 4.43728i | 0.195871 | − | 0.147419i | ||||
\(907\) | 9.00607 | − | 7.55699i | 0.299041 | − | 0.250926i | −0.480904 | − | 0.876773i | \(-0.659691\pi\) |
0.779945 | + | 0.625848i | \(0.215247\pi\) | |||||||
\(908\) | 3.30062 | − | 5.71684i | 0.109535 | − | 0.189720i | ||||
\(909\) | −12.7784 | − | 13.2637i | −0.423832 | − | 0.439928i | ||||
\(910\) | 1.37870 | + | 2.38798i | 0.0457034 | + | 0.0791606i | ||||
\(911\) | 15.4343 | + | 5.61763i | 0.511361 | + | 0.186120i | 0.584797 | − | 0.811180i | \(-0.301174\pi\) |
−0.0734358 | + | 0.997300i | \(0.523396\pi\) | |||||||
\(912\) | 5.62790 | − | 8.65503i | 0.186359 | − | 0.286597i | ||||
\(913\) | −20.5583 | − | 17.2504i | −0.680379 | − | 0.570906i | ||||
\(914\) | 23.9041 | − | 8.70038i | 0.790677 | − | 0.287783i | ||||
\(915\) | 4.68392 | − | 1.42900i | 0.154846 | − | 0.0472412i | ||||
\(916\) | −0.828025 | − | 4.69596i | −0.0273587 | − | 0.155159i | ||||
\(917\) | −1.12961 | −0.0373030 | ||||||||
\(918\) | −22.5373 | + | 13.4875i | −0.743841 | + | 0.445155i | ||||
\(919\) | 45.1583 | 1.48964 | 0.744818 | − | 0.667268i | \(-0.232536\pi\) | ||||
0.744818 | + | 0.667268i | \(0.232536\pi\) | |||||||
\(920\) | −0.386365 | − | 2.19119i | −0.0127381 | − | 0.0722412i | ||||
\(921\) | 17.6145 | + | 16.4452i | 0.580416 | + | 0.541888i | ||||
\(922\) | −1.27010 | + | 0.462277i | −0.0418284 | + | 0.0152243i | ||||
\(923\) | −10.4196 | − | 8.74312i | −0.342967 | − | 0.287783i | ||||
\(924\) | −2.42938 | − | 4.77489i | −0.0799208 | − | 0.157082i | ||||
\(925\) | 28.8908 | + | 10.5154i | 0.949924 | + | 0.345744i | ||||
\(926\) | 3.90239 | + | 6.75913i | 0.128240 | + | 0.222119i | ||||
\(927\) | 3.84883 | + | 8.67215i | 0.126412 | + | 0.284831i | ||||
\(928\) | −1.91105 | + | 3.31004i | −0.0627334 | + | 0.108658i | ||||
\(929\) | −26.1182 | + | 21.9157i | −0.856909 | + | 0.719032i | −0.961300 | − | 0.275504i | \(-0.911155\pi\) |
0.104391 | + | 0.994536i | \(0.466711\pi\) | |||||||
\(930\) | −6.86703 | − | 2.91967i | −0.225179 | − | 0.0957397i | ||||
\(931\) | 1.03503 | − | 5.86995i | 0.0339218 | − | 0.192380i | ||||
\(932\) | −3.14487 | + | 17.8354i | −0.103014 | + | 0.584219i | ||||
\(933\) | −53.8895 | − | 22.9123i | −1.76426 | − | 0.750114i | ||||
\(934\) | −16.1871 | + | 13.5826i | −0.529657 | + | 0.444435i | ||||
\(935\) | 4.01199 | − | 6.94898i | 0.131206 | − | 0.227256i | ||||
\(936\) | −16.0279 | − | 1.70372i | −0.523887 | − | 0.0556879i | ||||
\(937\) | 17.2919 | + | 29.9505i | 0.564903 | + | 0.978441i | 0.997059 | + | 0.0766419i | \(0.0244198\pi\) |
−0.432156 | + | 0.901799i | \(0.642247\pi\) | |||||||
\(938\) | −1.62388 | − | 0.591044i | −0.0530215 | − | 0.0192983i | ||||
\(939\) | 3.08062 | + | 6.05489i | 0.100532 | + | 0.197594i | ||||
\(940\) | −5.33007 | − | 4.47246i | −0.173848 | − | 0.145875i | ||||
\(941\) | −38.8668 | + | 14.1464i | −1.26702 | + | 0.461158i | −0.886119 | − | 0.463457i | \(-0.846609\pi\) |
−0.380903 | + | 0.924615i | \(0.624387\pi\) | |||||||
\(942\) | −5.35343 | − | 4.99806i | −0.174424 | − | 0.162846i | ||||
\(943\) | 7.52034 | + | 42.6500i | 0.244896 | + | 1.38887i | ||||
\(944\) | 6.09180 | 0.198271 | ||||||||
\(945\) | −2.63320 | − | 0.421839i | −0.0856582 | − | 0.0137224i | ||||
\(946\) | 22.1980 | 0.721720 | ||||||||
\(947\) | 9.28641 | + | 52.6659i | 0.301768 | + | 1.71141i | 0.638342 | + | 0.769753i | \(0.279621\pi\) |
−0.336574 | + | 0.941657i | \(0.609268\pi\) | |||||||
\(948\) | −14.8043 | + | 4.51657i | −0.480820 | + | 0.146691i | ||||
\(949\) | −49.2439 | + | 17.9233i | −1.59852 | + | 0.581815i | ||||
\(950\) | −21.6274 | − | 18.1475i | −0.701685 | − | 0.588784i | ||||
\(951\) | 4.62152 | − | 7.10734i | 0.149863 | − | 0.230471i | ||||
\(952\) | −4.74984 | − | 1.72880i | −0.153943 | − | 0.0560307i | ||||
\(953\) | 27.8257 | + | 48.1954i | 0.901361 | + | 1.56120i | 0.825728 | + | 0.564068i | \(0.190764\pi\) |
0.0756330 | + | 0.997136i | \(0.475902\pi\) | |||||||
\(954\) | −2.29250 | + | 7.95944i | −0.0742225 | + | 0.257696i | ||||
\(955\) | 1.14446 | − | 1.98226i | 0.0370339 | − | 0.0641445i | ||||
\(956\) | 18.0698 | − | 15.1623i | 0.584418 | − | 0.490385i | ||||
\(957\) | 16.3605 | − | 12.3134i | 0.528860 | − | 0.398036i | ||||
\(958\) | −1.64931 | + | 9.35371i | −0.0532868 | + | 0.302205i | ||||
\(959\) | −2.42814 | + | 13.7707i | −0.0784088 | + | 0.444678i | ||||
\(960\) | −0.107812 | − | 0.882365i | −0.00347962 | − | 0.0284782i | ||||
\(961\) | 30.2318 | − | 25.3675i | 0.975219 | − | 0.818306i | ||||
\(962\) | 17.4370 | − | 30.2017i | 0.562190 | − | 0.973741i | ||||
\(963\) | 27.7097 | + | 13.5555i | 0.892934 | + | 0.436818i | ||||
\(964\) | −10.9033 | − | 18.8850i | −0.351171 | − | 0.608245i | ||||
\(965\) | 12.4711 | + | 4.53913i | 0.401460 | + | 0.146120i | ||||
\(966\) | 7.49849 | + | 0.397417i | 0.241260 | + | 0.0127867i | ||||
\(967\) | −9.86883 | − | 8.28093i | −0.317360 | − | 0.266297i | 0.470166 | − | 0.882578i | \(-0.344194\pi\) |
−0.787526 | + | 0.616281i | \(0.788638\pi\) | |||||||
\(968\) | 1.34642 | − | 0.490058i | 0.0432757 | − | 0.0157511i | ||||
\(969\) | −11.7688 | + | 50.8395i | −0.378069 | + | 1.63320i | ||||
\(970\) | 1.32596 | + | 7.51989i | 0.0425740 | + | 0.241449i | ||||
\(971\) | −47.5803 | −1.52692 | −0.763462 | − | 0.645852i | \(-0.776502\pi\) | ||||
−0.763462 | + | 0.645852i | \(0.776502\pi\) | |||||||
\(972\) | 11.0552 | − | 10.9901i | 0.354595 | − | 0.352509i | ||||
\(973\) | −20.2316 | −0.648594 | ||||||||
\(974\) | −0.682238 | − | 3.86916i | −0.0218603 | − | 0.123976i | ||||
\(975\) | −9.94073 | + | 42.9424i | −0.318358 | + | 1.37526i | ||||
\(976\) | −5.17672 | + | 1.88417i | −0.165703 | + | 0.0603109i | ||||
\(977\) | −8.66712 | − | 7.27258i | −0.277286 | − | 0.232670i | 0.493530 | − | 0.869729i | \(-0.335706\pi\) |
−0.770815 | + | 0.637059i | \(0.780151\pi\) | |||||||
\(978\) | −13.7015 | − | 0.726173i | −0.438125 | − | 0.0232205i | ||||
\(979\) | 5.60561 | + | 2.04027i | 0.179156 | + | 0.0652074i | ||||
\(980\) | −0.256611 | − | 0.444463i | −0.00819714 | − | 0.0141979i | ||||
\(981\) | 35.5839 | + | 17.4074i | 1.13611 | + | 0.555777i | ||||
\(982\) | −15.5248 | + | 26.8898i | −0.495418 | + | 0.858089i | ||||
\(983\) | −0.720355 | + | 0.604449i | −0.0229757 | + | 0.0192789i | −0.654203 | − | 0.756319i | \(-0.726996\pi\) |
0.631227 | + | 0.775598i | \(0.282551\pi\) | |||||||
\(984\) | 2.09849 | + | 17.1746i | 0.0668975 | + | 0.547508i | ||||
\(985\) | 0.798084 | − | 4.52616i | 0.0254291 | − | 0.144215i | ||||
\(986\) | 3.35480 | − | 19.0260i | 0.106839 | − | 0.605912i | ||||
\(987\) | 18.7618 | − | 14.1207i | 0.597196 | − | 0.449467i | ||||
\(988\) | −24.5319 | + | 20.5847i | −0.780463 | + | 0.654886i | ||||
\(989\) | −15.5566 | + | 26.9448i | −0.494671 | + | 0.856796i | ||||
\(990\) | −1.31807 | + | 4.57628i | −0.0418912 | + | 0.145444i | ||||
\(991\) | 1.65170 | + | 2.86083i | 0.0524681 | + | 0.0908774i | 0.891067 | − | 0.453873i | \(-0.149958\pi\) |
−0.838598 | + | 0.544750i | \(0.816625\pi\) | |||||||
\(992\) | 7.88809 | + | 2.87103i | 0.250447 | + | 0.0911553i | ||||
\(993\) | −20.6139 | + | 31.7016i | −0.654161 | + | 1.00602i | ||||
\(994\) | 1.93936 | + | 1.62732i | 0.0615129 | + | 0.0516154i | ||||
\(995\) | 6.01508 | − | 2.18931i | 0.190691 | − | 0.0694057i | ||||
\(996\) | 14.3739 | − | 4.38528i | 0.455456 | − | 0.138953i | ||||
\(997\) | −6.05978 | − | 34.3667i | −0.191915 | − | 1.08840i | −0.916744 | − | 0.399475i | \(-0.869192\pi\) |
0.724829 | − | 0.688929i | \(-0.241919\pi\) | |||||||
\(998\) | −17.1193 | −0.541901 | ||||||||
\(999\) | 12.0312 | + | 31.5090i | 0.380651 | + | 0.996901i |
(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 | 378.2.u.b.337.1 | yes | 12 | |
27.25 | even | 9 | inner | 378.2.u.b.295.1 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.u.b.295.1 | ✓ | 12 | 27.25 | even | 9 | inner | |
378.2.u.b.337.1 | yes | 12 | 1.1 | even | 1 | trivial |