Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(52,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([8, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bs (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 178.1 | ||
Root | \(-0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 315.178 |
Dual form | 315.2.bs.d.292.1 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36603 | + | 1.36603i | −0.965926 | + | 0.965926i | −0.999438 | − | 0.0335125i | \(-0.989331\pi\) |
0.0335125 | + | 0.999438i | \(0.489331\pi\) | |||||||
\(3\) | 1.50000 | + | 0.866025i | 0.866025 | + | 0.500000i | ||||
\(4\) | − | 1.73205i | − | 0.866025i | ||||||
\(5\) | −2.23205 | − | 0.133975i | −0.998203 | − | 0.0599153i | ||||
\(6\) | −3.23205 | + | 0.866025i | −1.31948 | + | 0.353553i | ||||
\(7\) | 0.866025 | + | 2.50000i | 0.327327 | + | 0.944911i | ||||
\(8\) | −0.366025 | − | 0.366025i | −0.129410 | − | 0.129410i | ||||
\(9\) | 1.50000 | + | 2.59808i | 0.500000 | + | 0.866025i | ||||
\(10\) | 3.23205 | − | 2.86603i | 1.02206 | − | 0.906317i | ||||
\(11\) | 1.00000 | + | 1.73205i | 0.301511 | + | 0.522233i | 0.976478 | − | 0.215615i | \(-0.0691756\pi\) |
−0.674967 | + | 0.737848i | \(0.735842\pi\) | |||||||
\(12\) | 1.50000 | − | 2.59808i | 0.433013 | − | 0.750000i | ||||
\(13\) | −5.09808 | − | 1.36603i | −1.41395 | − | 0.378867i | −0.530618 | − | 0.847611i | \(-0.678040\pi\) |
−0.883334 | + | 0.468744i | \(0.844707\pi\) | |||||||
\(14\) | −4.59808 | − | 2.23205i | −1.22889 | − | 0.596541i | ||||
\(15\) | −3.23205 | − | 2.13397i | −0.834512 | − | 0.550990i | ||||
\(16\) | 4.46410 | 1.11603 | ||||||||
\(17\) | −7.46410 | + | 2.00000i | −1.81031 | + | 0.485071i | −0.995509 | − | 0.0946685i | \(-0.969821\pi\) |
−0.814802 | + | 0.579740i | \(0.803154\pi\) | |||||||
\(18\) | −5.59808 | − | 1.50000i | −1.31948 | − | 0.353553i | ||||
\(19\) | 1.36603 | + | 2.36603i | 0.313388 | + | 0.542803i | 0.979093 | − | 0.203411i | \(-0.0652027\pi\) |
−0.665706 | + | 0.746214i | \(0.731869\pi\) | |||||||
\(20\) | −0.232051 | + | 3.86603i | −0.0518881 | + | 0.864470i | ||||
\(21\) | −0.866025 | + | 4.50000i | −0.188982 | + | 0.981981i | ||||
\(22\) | −3.73205 | − | 1.00000i | −0.795676 | − | 0.213201i | ||||
\(23\) | 3.36603 | − | 0.901924i | 0.701865 | − | 0.188064i | 0.109799 | − | 0.993954i | \(-0.464979\pi\) |
0.592066 | + | 0.805890i | \(0.298313\pi\) | |||||||
\(24\) | −0.232051 | − | 0.866025i | −0.0473672 | − | 0.176777i | ||||
\(25\) | 4.96410 | + | 0.598076i | 0.992820 | + | 0.119615i | ||||
\(26\) | 8.83013 | − | 5.09808i | 1.73173 | − | 0.999815i | ||||
\(27\) | 5.19615i | 1.00000i | ||||||||
\(28\) | 4.33013 | − | 1.50000i | 0.818317 | − | 0.283473i | ||||
\(29\) | −3.40192 | − | 1.96410i | −0.631721 | − | 0.364725i | 0.149697 | − | 0.988732i | \(-0.452170\pi\) |
−0.781418 | + | 0.624007i | \(0.785503\pi\) | |||||||
\(30\) | 7.33013 | − | 1.50000i | 1.33829 | − | 0.273861i | ||||
\(31\) | − | 1.46410i | − | 0.262960i | −0.991319 | − | 0.131480i | \(-0.958027\pi\) | ||
0.991319 | − | 0.131480i | \(-0.0419730\pi\) | |||||||
\(32\) | −5.36603 | + | 5.36603i | −0.948588 | + | 0.948588i | ||||
\(33\) | 3.46410i | 0.603023i | ||||||||
\(34\) | 7.46410 | − | 12.9282i | 1.28008 | − | 2.21717i | ||||
\(35\) | −1.59808 | − | 5.69615i | −0.270124 | − | 0.962825i | ||||
\(36\) | 4.50000 | − | 2.59808i | 0.750000 | − | 0.433013i | ||||
\(37\) | −0.633975 | − | 0.169873i | −0.104225 | − | 0.0279269i | 0.206330 | − | 0.978483i | \(-0.433848\pi\) |
−0.310554 | + | 0.950556i | \(0.600515\pi\) | |||||||
\(38\) | −5.09808 | − | 1.36603i | −0.827017 | − | 0.221599i | ||||
\(39\) | −6.46410 | − | 6.46410i | −1.03508 | − | 1.03508i | ||||
\(40\) | 0.767949 | + | 0.866025i | 0.121423 | + | 0.136931i | ||||
\(41\) | −2.59808 | + | 1.50000i | −0.405751 | + | 0.234261i | −0.688963 | − | 0.724797i | \(-0.741934\pi\) |
0.283211 | + | 0.959058i | \(0.408600\pi\) | |||||||
\(42\) | −4.96410 | − | 7.33013i | −0.765978 | − | 1.13106i | ||||
\(43\) | 3.23205 | − | 0.866025i | 0.492883 | − | 0.132068i | −0.00381197 | − | 0.999993i | \(-0.501213\pi\) |
0.496695 | + | 0.867925i | \(0.334547\pi\) | |||||||
\(44\) | 3.00000 | − | 1.73205i | 0.452267 | − | 0.261116i | ||||
\(45\) | −3.00000 | − | 6.00000i | −0.447214 | − | 0.894427i | ||||
\(46\) | −3.36603 | + | 5.83013i | −0.496293 | + | 0.859605i | ||||
\(47\) | 5.36603 | + | 5.36603i | 0.782715 | + | 0.782715i | 0.980288 | − | 0.197573i | \(-0.0633059\pi\) |
−0.197573 | + | 0.980288i | \(0.563306\pi\) | |||||||
\(48\) | 6.69615 | + | 3.86603i | 0.966506 | + | 0.558013i | ||||
\(49\) | −5.50000 | + | 4.33013i | −0.785714 | + | 0.618590i | ||||
\(50\) | −7.59808 | + | 5.96410i | −1.07453 | + | 0.843451i | ||||
\(51\) | −12.9282 | − | 3.46410i | −1.81031 | − | 0.485071i | ||||
\(52\) | −2.36603 | + | 8.83013i | −0.328109 | + | 1.22452i | ||||
\(53\) | 3.73205 | − | 1.00000i | 0.512637 | − | 0.137361i | 0.00677809 | − | 0.999977i | \(-0.497842\pi\) |
0.505859 | + | 0.862616i | \(0.331176\pi\) | |||||||
\(54\) | −7.09808 | − | 7.09808i | −0.965926 | − | 0.965926i | ||||
\(55\) | −2.00000 | − | 4.00000i | −0.269680 | − | 0.539360i | ||||
\(56\) | 0.598076 | − | 1.23205i | 0.0799213 | − | 0.164640i | ||||
\(57\) | 4.73205i | 0.626775i | ||||||||
\(58\) | 7.33013 | − | 1.96410i | 0.962493 | − | 0.257899i | ||||
\(59\) | 15.1244 | 1.96902 | 0.984512 | − | 0.175319i | \(-0.0560957\pi\) | ||||
0.984512 | + | 0.175319i | \(0.0560957\pi\) | |||||||
\(60\) | −3.69615 | + | 5.59808i | −0.477171 | + | 0.722709i | ||||
\(61\) | − | 2.92820i | − | 0.374918i | −0.982272 | − | 0.187459i | \(-0.939975\pi\) | ||
0.982272 | − | 0.187459i | \(-0.0600252\pi\) | |||||||
\(62\) | 2.00000 | + | 2.00000i | 0.254000 | + | 0.254000i | ||||
\(63\) | −5.19615 | + | 6.00000i | −0.654654 | + | 0.755929i | ||||
\(64\) | − | 5.73205i | − | 0.716506i | ||||||
\(65\) | 11.1962 | + | 3.73205i | 1.38871 | + | 0.462904i | ||||
\(66\) | −4.73205 | − | 4.73205i | −0.582475 | − | 0.582475i | ||||
\(67\) | −4.46410 | + | 4.46410i | −0.545377 | + | 0.545377i | −0.925100 | − | 0.379723i | \(-0.876019\pi\) |
0.379723 | + | 0.925100i | \(0.376019\pi\) | |||||||
\(68\) | 3.46410 | + | 12.9282i | 0.420084 | + | 1.56777i | ||||
\(69\) | 5.83013 | + | 1.56218i | 0.701865 | + | 0.188064i | ||||
\(70\) | 9.96410 | + | 5.59808i | 1.19094 | + | 0.669098i | ||||
\(71\) | 4.73205 | 0.561591 | 0.280796 | − | 0.959768i | \(-0.409402\pi\) | ||||
0.280796 | + | 0.959768i | \(0.409402\pi\) | |||||||
\(72\) | 0.401924 | − | 1.50000i | 0.0473672 | − | 0.176777i | ||||
\(73\) | 0.928203 | + | 3.46410i | 0.108638 | + | 0.405442i | 0.998732 | − | 0.0503336i | \(-0.0160285\pi\) |
−0.890094 | + | 0.455776i | \(0.849362\pi\) | |||||||
\(74\) | 1.09808 | − | 0.633975i | 0.127649 | − | 0.0736980i | ||||
\(75\) | 6.92820 | + | 5.19615i | 0.800000 | + | 0.600000i | ||||
\(76\) | 4.09808 | − | 2.36603i | 0.470082 | − | 0.271402i | ||||
\(77\) | −3.46410 | + | 4.00000i | −0.394771 | + | 0.455842i | ||||
\(78\) | 17.6603 | 1.99963 | ||||||||
\(79\) | 4.53590i | 0.510328i | 0.966898 | + | 0.255164i | \(0.0821295\pi\) | ||||
−0.966898 | + | 0.255164i | \(0.917870\pi\) | |||||||
\(80\) | −9.96410 | − | 0.598076i | −1.11402 | − | 0.0668670i | ||||
\(81\) | −4.50000 | + | 7.79423i | −0.500000 | + | 0.866025i | ||||
\(82\) | 1.50000 | − | 5.59808i | 0.165647 | − | 0.618204i | ||||
\(83\) | 3.03590 | + | 11.3301i | 0.333233 | + | 1.24364i | 0.905772 | + | 0.423765i | \(0.139292\pi\) |
−0.572539 | + | 0.819878i | \(0.694041\pi\) | |||||||
\(84\) | 7.79423 | + | 1.50000i | 0.850420 | + | 0.163663i | ||||
\(85\) | 16.9282 | − | 3.46410i | 1.83612 | − | 0.375735i | ||||
\(86\) | −3.23205 | + | 5.59808i | −0.348521 | + | 0.603656i | ||||
\(87\) | −3.40192 | − | 5.89230i | −0.364725 | − | 0.631721i | ||||
\(88\) | 0.267949 | − | 1.00000i | 0.0285635 | − | 0.106600i | ||||
\(89\) | 7.46410 | + | 12.9282i | 0.791193 | + | 1.37039i | 0.925229 | + | 0.379410i | \(0.123873\pi\) |
−0.134035 | + | 0.990977i | \(0.542794\pi\) | |||||||
\(90\) | 12.2942 | + | 4.09808i | 1.29593 | + | 0.431975i | ||||
\(91\) | −1.00000 | − | 13.9282i | −0.104828 | − | 1.46007i | ||||
\(92\) | −1.56218 | − | 5.83013i | −0.162868 | − | 0.607833i | ||||
\(93\) | 1.26795 | − | 2.19615i | 0.131480 | − | 0.227730i | ||||
\(94\) | −14.6603 | −1.51209 | ||||||||
\(95\) | −2.73205 | − | 5.46410i | −0.280302 | − | 0.560605i | ||||
\(96\) | −12.6962 | + | 3.40192i | −1.29580 | + | 0.347207i | ||||
\(97\) | −14.5622 | + | 3.90192i | −1.47857 | + | 0.396180i | −0.905859 | − | 0.423580i | \(-0.860773\pi\) |
−0.572707 | + | 0.819760i | \(0.694107\pi\) | |||||||
\(98\) | 1.59808 | − | 13.4282i | 0.161430 | − | 1.35645i | ||||
\(99\) | −3.00000 | + | 5.19615i | −0.301511 | + | 0.522233i | ||||
\(100\) | 1.03590 | − | 8.59808i | 0.103590 | − | 0.859808i | ||||
\(101\) | 3.23205 | − | 1.86603i | 0.321601 | − | 0.185676i | −0.330505 | − | 0.943804i | \(-0.607219\pi\) |
0.652106 | + | 0.758128i | \(0.273886\pi\) | |||||||
\(102\) | 22.3923 | − | 12.9282i | 2.21717 | − | 1.28008i | ||||
\(103\) | 2.33013 | + | 8.69615i | 0.229594 | + | 0.856857i | 0.980512 | + | 0.196461i | \(0.0629450\pi\) |
−0.750917 | + | 0.660396i | \(0.770388\pi\) | |||||||
\(104\) | 1.36603 | + | 2.36603i | 0.133950 | + | 0.232008i | ||||
\(105\) | 2.53590 | − | 9.92820i | 0.247478 | − | 0.968893i | ||||
\(106\) | −3.73205 | + | 6.46410i | −0.362489 | + | 0.627849i | ||||
\(107\) | 11.4282 | + | 3.06218i | 1.10481 | + | 0.296032i | 0.764720 | − | 0.644362i | \(-0.222877\pi\) |
0.340086 | + | 0.940394i | \(0.389544\pi\) | |||||||
\(108\) | 9.00000 | 0.866025 | ||||||||
\(109\) | 5.42820 | + | 3.13397i | 0.519928 | + | 0.300180i | 0.736905 | − | 0.675996i | \(-0.236286\pi\) |
−0.216977 | + | 0.976177i | \(0.569620\pi\) | |||||||
\(110\) | 8.19615 | + | 2.73205i | 0.781472 | + | 0.260491i | ||||
\(111\) | −0.803848 | − | 0.803848i | −0.0762978 | − | 0.0762978i | ||||
\(112\) | 3.86603 | + | 11.1603i | 0.365305 | + | 1.05454i | ||||
\(113\) | 2.53590 | − | 9.46410i | 0.238557 | − | 0.890308i | −0.737956 | − | 0.674849i | \(-0.764209\pi\) |
0.976513 | − | 0.215459i | \(-0.0691246\pi\) | |||||||
\(114\) | −6.46410 | − | 6.46410i | −0.605419 | − | 0.605419i | ||||
\(115\) | −7.63397 | + | 1.56218i | −0.711872 | + | 0.145674i | ||||
\(116\) | −3.40192 | + | 5.89230i | −0.315861 | + | 0.547087i | ||||
\(117\) | −4.09808 | − | 15.2942i | −0.378867 | − | 1.41395i | ||||
\(118\) | −20.6603 | + | 20.6603i | −1.90193 | + | 1.90193i | ||||
\(119\) | −11.4641 | − | 16.9282i | −1.05091 | − | 1.55181i | ||||
\(120\) | 0.401924 | + | 1.96410i | 0.0366905 | + | 0.179297i | ||||
\(121\) | 3.50000 | − | 6.06218i | 0.318182 | − | 0.551107i | ||||
\(122\) | 4.00000 | + | 4.00000i | 0.362143 | + | 0.362143i | ||||
\(123\) | −5.19615 | −0.468521 | ||||||||
\(124\) | −2.53590 | −0.227730 | ||||||||
\(125\) | −11.0000 | − | 2.00000i | −0.983870 | − | 0.178885i | ||||
\(126\) | −1.09808 | − | 15.2942i | −0.0978244 | − | 1.36252i | ||||
\(127\) | 9.63397 | − | 9.63397i | 0.854877 | − | 0.854877i | −0.135852 | − | 0.990729i | \(-0.543377\pi\) |
0.990729 | + | 0.135852i | \(0.0433772\pi\) | |||||||
\(128\) | −2.90192 | − | 2.90192i | −0.256496 | − | 0.256496i | ||||
\(129\) | 5.59808 | + | 1.50000i | 0.492883 | + | 0.132068i | ||||
\(130\) | −20.3923 | + | 10.1962i | −1.78852 | + | 0.894262i | ||||
\(131\) | −4.39230 | − | 2.53590i | −0.383757 | − | 0.221562i | 0.295694 | − | 0.955283i | \(-0.404449\pi\) |
−0.679452 | + | 0.733720i | \(0.737782\pi\) | |||||||
\(132\) | 6.00000 | 0.522233 | ||||||||
\(133\) | −4.73205 | + | 5.46410i | −0.410321 | + | 0.473798i | ||||
\(134\) | − | 12.1962i | − | 1.05359i | ||||||
\(135\) | 0.696152 | − | 11.5981i | 0.0599153 | − | 0.998203i | ||||
\(136\) | 3.46410 | + | 2.00000i | 0.297044 | + | 0.171499i | ||||
\(137\) | −1.36603 | − | 0.366025i | −0.116707 | − | 0.0312717i | 0.199993 | − | 0.979797i | \(-0.435908\pi\) |
−0.316700 | + | 0.948526i | \(0.602575\pi\) | |||||||
\(138\) | −10.0981 | + | 5.83013i | −0.859605 | + | 0.496293i | ||||
\(139\) | −6.29423 | − | 10.9019i | −0.533870 | − | 0.924689i | −0.999217 | − | 0.0395611i | \(-0.987404\pi\) |
0.465348 | − | 0.885128i | \(-0.345929\pi\) | |||||||
\(140\) | −9.86603 | + | 2.76795i | −0.833831 | + | 0.233934i | ||||
\(141\) | 3.40192 | + | 12.6962i | 0.286494 | + | 1.06921i | ||||
\(142\) | −6.46410 | + | 6.46410i | −0.542455 | + | 0.542455i | ||||
\(143\) | −2.73205 | − | 10.1962i | −0.228466 | − | 0.852645i | ||||
\(144\) | 6.69615 | + | 11.5981i | 0.558013 | + | 0.966506i | ||||
\(145\) | 7.33013 | + | 4.83975i | 0.608734 | + | 0.401919i | ||||
\(146\) | −6.00000 | − | 3.46410i | −0.496564 | − | 0.286691i | ||||
\(147\) | −12.0000 | + | 1.73205i | −0.989743 | + | 0.142857i | ||||
\(148\) | −0.294229 | + | 1.09808i | −0.0241854 | + | 0.0902613i | ||||
\(149\) | −13.3923 | − | 7.73205i | −1.09714 | − | 0.633434i | −0.161672 | − | 0.986845i | \(-0.551689\pi\) |
−0.935468 | + | 0.353410i | \(0.885022\pi\) | |||||||
\(150\) | −16.5622 | + | 2.36603i | −1.35230 | + | 0.193185i | ||||
\(151\) | 8.83013 | + | 15.2942i | 0.718586 | + | 1.24463i | 0.961560 | + | 0.274594i | \(0.0885435\pi\) |
−0.242975 | + | 0.970033i | \(0.578123\pi\) | |||||||
\(152\) | 0.366025 | − | 1.36603i | 0.0296886 | − | 0.110799i | ||||
\(153\) | −16.3923 | − | 16.3923i | −1.32524 | − | 1.32524i | ||||
\(154\) | −0.732051 | − | 10.1962i | −0.0589903 | − | 0.821629i | ||||
\(155\) | −0.196152 | + | 3.26795i | −0.0157553 | + | 0.262488i | ||||
\(156\) | −11.1962 | + | 11.1962i | −0.896410 | + | 0.896410i | ||||
\(157\) | −7.19615 | − | 7.19615i | −0.574315 | − | 0.574315i | 0.359016 | − | 0.933331i | \(-0.383112\pi\) |
−0.933331 | + | 0.359016i | \(0.883112\pi\) | |||||||
\(158\) | −6.19615 | − | 6.19615i | −0.492939 | − | 0.492939i | ||||
\(159\) | 6.46410 | + | 1.73205i | 0.512637 | + | 0.137361i | ||||
\(160\) | 12.6962 | − | 11.2583i | 1.00372 | − | 0.890049i | ||||
\(161\) | 5.16987 | + | 7.63397i | 0.407443 | + | 0.601641i | ||||
\(162\) | −4.50000 | − | 16.7942i | −0.353553 | − | 1.31948i | ||||
\(163\) | −2.49038 | + | 9.29423i | −0.195062 | + | 0.727980i | 0.797189 | + | 0.603730i | \(0.206319\pi\) |
−0.992251 | + | 0.124251i | \(0.960347\pi\) | |||||||
\(164\) | 2.59808 | + | 4.50000i | 0.202876 | + | 0.351391i | ||||
\(165\) | 0.464102 | − | 7.73205i | 0.0361303 | − | 0.601939i | ||||
\(166\) | −19.6244 | − | 11.3301i | −1.52315 | − | 0.879388i | ||||
\(167\) | 0.901924 | − | 3.36603i | 0.0697930 | − | 0.260471i | −0.922209 | − | 0.386691i | \(-0.873618\pi\) |
0.992002 | + | 0.126220i | \(0.0402846\pi\) | |||||||
\(168\) | 1.96410 | − | 1.33013i | 0.151534 | − | 0.102622i | ||||
\(169\) | 12.8660 | + | 7.42820i | 0.989694 | + | 0.571400i | ||||
\(170\) | −18.3923 | + | 27.8564i | −1.41063 | + | 2.13649i | ||||
\(171\) | −4.09808 | + | 7.09808i | −0.313388 | + | 0.542803i | ||||
\(172\) | −1.50000 | − | 5.59808i | −0.114374 | − | 0.426849i | ||||
\(173\) | 16.0000 | − | 16.0000i | 1.21646 | − | 1.21646i | 0.247593 | − | 0.968864i | \(-0.420360\pi\) |
0.968864 | − | 0.247593i | \(-0.0796397\pi\) | |||||||
\(174\) | 12.6962 | + | 3.40192i | 0.962493 | + | 0.257899i | ||||
\(175\) | 2.80385 | + | 12.9282i | 0.211951 | + | 0.977280i | ||||
\(176\) | 4.46410 | + | 7.73205i | 0.336494 | + | 0.582825i | ||||
\(177\) | 22.6865 | + | 13.0981i | 1.70522 | + | 0.984512i | ||||
\(178\) | −27.8564 | − | 7.46410i | −2.08793 | − | 0.559458i | ||||
\(179\) | −1.09808 | − | 0.633975i | −0.0820741 | − | 0.0473855i | 0.458401 | − | 0.888745i | \(-0.348422\pi\) |
−0.540475 | + | 0.841360i | \(0.681756\pi\) | |||||||
\(180\) | −10.3923 | + | 5.19615i | −0.774597 | + | 0.387298i | ||||
\(181\) | − | 20.1244i | − | 1.49583i | −0.663794 | − | 0.747916i | \(-0.731055\pi\) | ||
0.663794 | − | 0.747916i | \(-0.268945\pi\) | |||||||
\(182\) | 20.3923 | + | 17.6603i | 1.51158 | + | 1.30907i | ||||
\(183\) | 2.53590 | − | 4.39230i | 0.187459 | − | 0.324689i | ||||
\(184\) | −1.56218 | − | 0.901924i | −0.115165 | − | 0.0664907i | ||||
\(185\) | 1.39230 | + | 0.464102i | 0.102364 | + | 0.0341214i | ||||
\(186\) | 1.26795 | + | 4.73205i | 0.0929705 | + | 0.346971i | ||||
\(187\) | −10.9282 | − | 10.9282i | −0.799149 | − | 0.799149i | ||||
\(188\) | 9.29423 | − | 9.29423i | 0.677851 | − | 0.677851i | ||||
\(189\) | −12.9904 | + | 4.50000i | −0.944911 | + | 0.327327i | ||||
\(190\) | 11.1962 | + | 3.73205i | 0.812254 | + | 0.270751i | ||||
\(191\) | −9.80385 | −0.709382 | −0.354691 | − | 0.934984i | \(-0.615414\pi\) | ||||
−0.354691 | + | 0.934984i | \(0.615414\pi\) | |||||||
\(192\) | 4.96410 | − | 8.59808i | 0.358253 | − | 0.620513i | ||||
\(193\) | 0.196152 | + | 0.196152i | 0.0141194 | + | 0.0141194i | 0.714131 | − | 0.700012i | \(-0.246822\pi\) |
−0.700012 | + | 0.714131i | \(0.746822\pi\) | |||||||
\(194\) | 14.5622 | − | 25.2224i | 1.04550 | − | 1.81087i | ||||
\(195\) | 13.5622 | + | 15.2942i | 0.971208 | + | 1.09524i | ||||
\(196\) | 7.50000 | + | 9.52628i | 0.535714 | + | 0.680449i | ||||
\(197\) | 4.00000 | − | 4.00000i | 0.284988 | − | 0.284988i | −0.550106 | − | 0.835095i | \(-0.685413\pi\) |
0.835095 | + | 0.550106i | \(0.185413\pi\) | |||||||
\(198\) | −3.00000 | − | 11.1962i | −0.213201 | − | 0.795676i | ||||
\(199\) | −2.19615 | + | 3.80385i | −0.155681 | + | 0.269648i | −0.933307 | − | 0.359080i | \(-0.883091\pi\) |
0.777626 | + | 0.628727i | \(0.216424\pi\) | |||||||
\(200\) | −1.59808 | − | 2.03590i | −0.113001 | − | 0.143960i | ||||
\(201\) | −10.5622 | + | 2.83013i | −0.744999 | + | 0.199622i | ||||
\(202\) | −1.86603 | + | 6.96410i | −0.131293 | + | 0.489992i | ||||
\(203\) | 1.96410 | − | 10.2058i | 0.137853 | − | 0.716305i | ||||
\(204\) | −6.00000 | + | 22.3923i | −0.420084 | + | 1.56777i | ||||
\(205\) | 6.00000 | − | 3.00000i | 0.419058 | − | 0.209529i | ||||
\(206\) | −15.0622 | − | 8.69615i | −1.04943 | − | 0.605890i | ||||
\(207\) | 7.39230 | + | 7.39230i | 0.513801 | + | 0.513801i | ||||
\(208\) | −22.7583 | − | 6.09808i | −1.57801 | − | 0.422826i | ||||
\(209\) | −2.73205 | + | 4.73205i | −0.188980 | + | 0.327323i | ||||
\(210\) | 10.0981 | + | 17.0263i | 0.696833 | + | 1.17492i | ||||
\(211\) | −6.53590 | − | 11.3205i | −0.449950 | − | 0.779336i | 0.548432 | − | 0.836195i | \(-0.315225\pi\) |
−0.998382 | + | 0.0568590i | \(0.981891\pi\) | |||||||
\(212\) | −1.73205 | − | 6.46410i | −0.118958 | − | 0.443956i | ||||
\(213\) | 7.09808 | + | 4.09808i | 0.486352 | + | 0.280796i | ||||
\(214\) | −19.7942 | + | 11.4282i | −1.35311 | + | 0.781216i | ||||
\(215\) | −7.33013 | + | 1.50000i | −0.499911 | + | 0.102299i | ||||
\(216\) | 1.90192 | − | 1.90192i | 0.129410 | − | 0.129410i | ||||
\(217\) | 3.66025 | − | 1.26795i | 0.248474 | − | 0.0860740i | ||||
\(218\) | −11.6962 | + | 3.13397i | −0.792163 | + | 0.212260i | ||||
\(219\) | −1.60770 | + | 6.00000i | −0.108638 | + | 0.405442i | ||||
\(220\) | −6.92820 | + | 3.46410i | −0.467099 | + | 0.233550i | ||||
\(221\) | 40.7846 | 2.74347 | ||||||||
\(222\) | 2.19615 | 0.147396 | ||||||||
\(223\) | −1.96410 | − | 7.33013i | −0.131526 | − | 0.490862i | 0.868462 | − | 0.495756i | \(-0.165109\pi\) |
−0.999988 | + | 0.00489404i | \(0.998442\pi\) | |||||||
\(224\) | −18.0622 | − | 8.76795i | −1.20683 | − | 0.585833i | ||||
\(225\) | 5.89230 | + | 13.7942i | 0.392820 | + | 0.919615i | ||||
\(226\) | 9.46410 | + | 16.3923i | 0.629543 | + | 1.09040i | ||||
\(227\) | 4.97372 | − | 18.5622i | 0.330117 | − | 1.23202i | −0.578949 | − | 0.815364i | \(-0.696537\pi\) |
0.909066 | − | 0.416651i | \(-0.136796\pi\) | |||||||
\(228\) | 8.19615 | 0.542803 | ||||||||
\(229\) | 2.66987 | − | 4.62436i | 0.176430 | − | 0.305586i | −0.764225 | − | 0.644950i | \(-0.776878\pi\) |
0.940655 | + | 0.339364i | \(0.110212\pi\) | |||||||
\(230\) | 8.29423 | − | 12.5622i | 0.546905 | − | 0.828325i | ||||
\(231\) | −8.66025 | + | 3.00000i | −0.569803 | + | 0.197386i | ||||
\(232\) | 0.526279 | + | 1.96410i | 0.0345519 | + | 0.128950i | ||||
\(233\) | −3.33975 | + | 12.4641i | −0.218794 | + | 0.816550i | 0.766002 | + | 0.642838i | \(0.222243\pi\) |
−0.984796 | + | 0.173713i | \(0.944424\pi\) | |||||||
\(234\) | 26.4904 | + | 15.2942i | 1.73173 | + | 0.999815i | ||||
\(235\) | −11.2583 | − | 12.6962i | −0.734412 | − | 0.828206i | ||||
\(236\) | − | 26.1962i | − | 1.70522i | ||||||
\(237\) | −3.92820 | + | 6.80385i | −0.255164 | + | 0.441957i | ||||
\(238\) | 38.7846 | + | 7.46410i | 2.51403 | + | 0.483826i | ||||
\(239\) | −1.73205 | + | 1.00000i | −0.112037 | + | 0.0646846i | −0.554971 | − | 0.831869i | \(-0.687271\pi\) |
0.442934 | + | 0.896554i | \(0.353937\pi\) | |||||||
\(240\) | −14.4282 | − | 9.52628i | −0.931337 | − | 0.614919i | ||||
\(241\) | 19.4545 | − | 11.2321i | 1.25317 | − | 0.723520i | 0.281435 | − | 0.959580i | \(-0.409190\pi\) |
0.971738 | + | 0.236060i | \(0.0758563\pi\) | |||||||
\(242\) | 3.50000 | + | 13.0622i | 0.224989 | + | 0.839669i | ||||
\(243\) | −13.5000 | + | 7.79423i | −0.866025 | + | 0.500000i | ||||
\(244\) | −5.07180 | −0.324689 | ||||||||
\(245\) | 12.8564 | − | 8.92820i | 0.821366 | − | 0.570402i | ||||
\(246\) | 7.09808 | − | 7.09808i | 0.452557 | − | 0.452557i | ||||
\(247\) | −3.73205 | − | 13.9282i | −0.237465 | − | 0.886230i | ||||
\(248\) | −0.535898 | + | 0.535898i | −0.0340296 | + | 0.0340296i | ||||
\(249\) | −5.25833 | + | 19.6244i | −0.333233 | + | 1.24364i | ||||
\(250\) | 17.7583 | − | 12.2942i | 1.12314 | − | 0.777555i | ||||
\(251\) | 3.66025i | 0.231033i | 0.993306 | + | 0.115517i | \(0.0368523\pi\) | ||||
−0.993306 | + | 0.115517i | \(0.963148\pi\) | |||||||
\(252\) | 10.3923 | + | 9.00000i | 0.654654 | + | 0.566947i | ||||
\(253\) | 4.92820 | + | 4.92820i | 0.309833 | + | 0.309833i | ||||
\(254\) | 26.3205i | 1.65150i | ||||||||
\(255\) | 28.3923 | + | 9.46410i | 1.77800 | + | 0.592665i | ||||
\(256\) | 19.3923 | 1.21202 | ||||||||
\(257\) | −0.267949 | + | 0.0717968i | −0.0167142 | + | 0.00447856i | −0.267166 | − | 0.963650i | \(-0.586087\pi\) |
0.250452 | + | 0.968129i | \(0.419421\pi\) | |||||||
\(258\) | −9.69615 | + | 5.59808i | −0.603656 | + | 0.348521i | ||||
\(259\) | −0.124356 | − | 1.73205i | −0.00772708 | − | 0.107624i | ||||
\(260\) | 6.46410 | − | 19.3923i | 0.400887 | − | 1.20266i | ||||
\(261\) | − | 11.7846i | − | 0.729449i | ||||||
\(262\) | 9.46410 | − | 2.53590i | 0.584694 | − | 0.156668i | ||||
\(263\) | 1.42820 | − | 5.33013i | 0.0880668 | − | 0.328670i | −0.907810 | − | 0.419381i | \(-0.862247\pi\) |
0.995877 | + | 0.0907109i | \(0.0289139\pi\) | |||||||
\(264\) | 1.26795 | − | 1.26795i | 0.0780369 | − | 0.0780369i | ||||
\(265\) | −8.46410 | + | 1.73205i | −0.519946 | + | 0.106399i | ||||
\(266\) | −1.00000 | − | 13.9282i | −0.0613139 | − | 0.853993i | ||||
\(267\) | 25.8564i | 1.58239i | ||||||||
\(268\) | 7.73205 | + | 7.73205i | 0.472310 | + | 0.472310i | ||||
\(269\) | −14.1962 | + | 24.5885i | −0.865555 | + | 1.49918i | 0.000940662 | 1.00000i | \(0.499701\pi\) | |
−0.866495 | + | 0.499185i | \(0.833633\pi\) | |||||||
\(270\) | 14.8923 | + | 16.7942i | 0.906317 | + | 1.02206i | ||||
\(271\) | −28.2224 | + | 16.2942i | −1.71439 | + | 0.989804i | −0.785977 | + | 0.618256i | \(0.787840\pi\) |
−0.928414 | + | 0.371548i | \(0.878827\pi\) | |||||||
\(272\) | −33.3205 | + | 8.92820i | −2.02035 | + | 0.541352i | ||||
\(273\) | 10.5622 | − | 21.7583i | 0.639252 | − | 1.31687i | ||||
\(274\) | 2.36603 | − | 1.36603i | 0.142937 | − | 0.0825246i | ||||
\(275\) | 3.92820 | + | 9.19615i | 0.236880 | + | 0.554549i | ||||
\(276\) | 2.70577 | − | 10.0981i | 0.162868 | − | 0.607833i | ||||
\(277\) | 11.1962 | + | 3.00000i | 0.672712 | + | 0.180253i | 0.578976 | − | 0.815345i | \(-0.303452\pi\) |
0.0937356 | + | 0.995597i | \(0.470119\pi\) | |||||||
\(278\) | 23.4904 | + | 6.29423i | 1.40886 | + | 0.377503i | ||||
\(279\) | 3.80385 | − | 2.19615i | 0.227730 | − | 0.131480i | ||||
\(280\) | −1.50000 | + | 2.66987i | −0.0896421 | + | 0.159555i | ||||
\(281\) | −11.1340 | + | 19.2846i | −0.664197 | + | 1.15042i | 0.315305 | + | 0.948990i | \(0.397893\pi\) |
−0.979502 | + | 0.201433i | \(0.935440\pi\) | |||||||
\(282\) | −21.9904 | − | 12.6962i | −1.30951 | − | 0.756045i | ||||
\(283\) | −9.63397 | + | 9.63397i | −0.572680 | + | 0.572680i | −0.932877 | − | 0.360196i | \(-0.882710\pi\) |
0.360196 | + | 0.932877i | \(0.382710\pi\) | |||||||
\(284\) | − | 8.19615i | − | 0.486352i | ||||||
\(285\) | 0.633975 | − | 10.5622i | 0.0375534 | − | 0.625649i | ||||
\(286\) | 17.6603 | + | 10.1962i | 1.04427 | + | 0.602911i | ||||
\(287\) | −6.00000 | − | 5.19615i | −0.354169 | − | 0.306719i | ||||
\(288\) | −21.9904 | − | 5.89230i | −1.29580 | − | 0.347207i | ||||
\(289\) | 36.9904 | − | 21.3564i | 2.17590 | − | 1.25626i | ||||
\(290\) | −16.6244 | + | 3.40192i | −0.976216 | + | 0.199768i | ||||
\(291\) | −25.2224 | − | 6.75833i | −1.47857 | − | 0.396180i | ||||
\(292\) | 6.00000 | − | 1.60770i | 0.351123 | − | 0.0940832i | ||||
\(293\) | 6.73205 | + | 1.80385i | 0.393291 | + | 0.105382i | 0.450044 | − | 0.893006i | \(-0.351408\pi\) |
−0.0567535 | + | 0.998388i | \(0.518075\pi\) | |||||||
\(294\) | 14.0263 | − | 18.7583i | 0.818029 | − | 1.09401i | ||||
\(295\) | −33.7583 | − | 2.02628i | −1.96549 | − | 0.117975i | ||||
\(296\) | 0.169873 | + | 0.294229i | 0.00987367 | + | 0.0171017i | ||||
\(297\) | −9.00000 | + | 5.19615i | −0.522233 | + | 0.301511i | ||||
\(298\) | 28.8564 | − | 7.73205i | 1.67161 | − | 0.447906i | ||||
\(299\) | −18.3923 | −1.06365 | ||||||||
\(300\) | 9.00000 | − | 12.0000i | 0.519615 | − | 0.692820i | ||||
\(301\) | 4.96410 | + | 7.33013i | 0.286126 | + | 0.422501i | ||||
\(302\) | −32.9545 | − | 8.83013i | −1.89632 | − | 0.508117i | ||||
\(303\) | 6.46410 | 0.371353 | ||||||||
\(304\) | 6.09808 | + | 10.5622i | 0.349749 | + | 0.605782i | ||||
\(305\) | −0.392305 | + | 6.53590i | −0.0224633 | + | 0.374244i | ||||
\(306\) | 44.7846 | 2.56017 | ||||||||
\(307\) | 5.36603 | + | 5.36603i | 0.306255 | + | 0.306255i | 0.843455 | − | 0.537200i | \(-0.180518\pi\) |
−0.537200 | + | 0.843455i | \(0.680518\pi\) | |||||||
\(308\) | 6.92820 | + | 6.00000i | 0.394771 | + | 0.341882i | ||||
\(309\) | −4.03590 | + | 15.0622i | −0.229594 | + | 0.856857i | ||||
\(310\) | −4.19615 | − | 4.73205i | −0.238325 | − | 0.268762i | ||||
\(311\) | − | 7.12436i | − | 0.403985i | −0.979387 | − | 0.201993i | \(-0.935258\pi\) | ||
0.979387 | − | 0.201993i | \(-0.0647417\pi\) | |||||||
\(312\) | 4.73205i | 0.267900i | ||||||||
\(313\) | −1.60770 | + | 1.60770i | −0.0908723 | + | 0.0908723i | −0.751082 | − | 0.660209i | \(-0.770468\pi\) |
0.660209 | + | 0.751082i | \(0.270468\pi\) | |||||||
\(314\) | 19.6603 | 1.10949 | ||||||||
\(315\) | 12.4019 | − | 12.6962i | 0.698769 | − | 0.715347i | ||||
\(316\) | 7.85641 | 0.441957 | ||||||||
\(317\) | 8.46410 | − | 8.46410i | 0.475391 | − | 0.475391i | −0.428263 | − | 0.903654i | \(-0.640874\pi\) |
0.903654 | + | 0.428263i | \(0.140874\pi\) | |||||||
\(318\) | −11.1962 | + | 6.46410i | −0.627849 | + | 0.362489i | ||||
\(319\) | − | 7.85641i | − | 0.439874i | ||||||
\(320\) | −0.767949 | + | 12.7942i | −0.0429297 | + | 0.715219i | ||||
\(321\) | 14.4904 | + | 14.4904i | 0.808774 | + | 0.808774i | ||||
\(322\) | −17.4904 | − | 3.36603i | −0.974701 | − | 0.187581i | ||||
\(323\) | −14.9282 | − | 14.9282i | −0.830627 | − | 0.830627i | ||||
\(324\) | 13.5000 | + | 7.79423i | 0.750000 | + | 0.433013i | ||||
\(325\) | −24.4904 | − | 9.83013i | −1.35848 | − | 0.545277i | ||||
\(326\) | −9.29423 | − | 16.0981i | −0.514760 | − | 0.891590i | ||||
\(327\) | 5.42820 | + | 9.40192i | 0.300180 | + | 0.519928i | ||||
\(328\) | 1.50000 | + | 0.401924i | 0.0828236 | + | 0.0221925i | ||||
\(329\) | −8.76795 | + | 18.0622i | −0.483393 | + | 0.995800i | ||||
\(330\) | 9.92820 | + | 11.1962i | 0.546530 | + | 0.616328i | ||||
\(331\) | −6.00000 | −0.329790 | −0.164895 | − | 0.986311i | \(-0.552728\pi\) | ||||
−0.164895 | + | 0.986311i | \(0.552728\pi\) | |||||||
\(332\) | 19.6244 | − | 5.25833i | 1.07703 | − | 0.288588i | ||||
\(333\) | −0.509619 | − | 1.90192i | −0.0279269 | − | 0.104225i | ||||
\(334\) | 3.36603 | + | 5.83013i | 0.184181 | + | 0.319010i | ||||
\(335\) | 10.5622 | − | 9.36603i | 0.577073 | − | 0.511721i | ||||
\(336\) | −3.86603 | + | 20.0885i | −0.210909 | + | 1.09592i | ||||
\(337\) | −7.36603 | − | 1.97372i | −0.401253 | − | 0.107515i | 0.0525482 | − | 0.998618i | \(-0.483266\pi\) |
−0.453801 | + | 0.891103i | \(0.649932\pi\) | |||||||
\(338\) | −27.7224 | + | 7.42820i | −1.50790 | + | 0.404041i | ||||
\(339\) | 12.0000 | − | 12.0000i | 0.651751 | − | 0.651751i | ||||
\(340\) | −6.00000 | − | 29.3205i | −0.325396 | − | 1.59013i | ||||
\(341\) | 2.53590 | − | 1.46410i | 0.137327 | − | 0.0792855i | ||||
\(342\) | −4.09808 | − | 15.2942i | −0.221599 | − | 0.827017i | ||||
\(343\) | −15.5885 | − | 10.0000i | −0.841698 | − | 0.539949i | ||||
\(344\) | −1.50000 | − | 0.866025i | −0.0808746 | − | 0.0466930i | ||||
\(345\) | −12.8038 | − | 4.26795i | −0.689336 | − | 0.229779i | ||||
\(346\) | 43.7128i | 2.35002i | ||||||||
\(347\) | 6.63397 | − | 6.63397i | 0.356130 | − | 0.356130i | −0.506254 | − | 0.862384i | \(-0.668970\pi\) |
0.862384 | + | 0.506254i | \(0.168970\pi\) | |||||||
\(348\) | −10.2058 | + | 5.89230i | −0.547087 | + | 0.315861i | ||||
\(349\) | −5.00000 | + | 8.66025i | −0.267644 | + | 0.463573i | −0.968253 | − | 0.249973i | \(-0.919578\pi\) |
0.700609 | + | 0.713545i | \(0.252912\pi\) | |||||||
\(350\) | −21.4904 | − | 13.8301i | −1.14871 | − | 0.739251i | ||||
\(351\) | 7.09808 | − | 26.4904i | 0.378867 | − | 1.41395i | ||||
\(352\) | −14.6603 | − | 3.92820i | −0.781394 | − | 0.209374i | ||||
\(353\) | −17.0263 | − | 4.56218i | −0.906217 | − | 0.242820i | −0.224533 | − | 0.974467i | \(-0.572086\pi\) |
−0.681684 | + | 0.731646i | \(0.738752\pi\) | |||||||
\(354\) | −48.8827 | + | 13.0981i | −2.59809 | + | 0.696155i | ||||
\(355\) | −10.5622 | − | 0.633975i | −0.560582 | − | 0.0336479i | ||||
\(356\) | 22.3923 | − | 12.9282i | 1.18679 | − | 0.685193i | ||||
\(357\) | −2.53590 | − | 35.3205i | −0.134214 | − | 1.86936i | ||||
\(358\) | 2.36603 | − | 0.633975i | 0.125048 | − | 0.0335066i | ||||
\(359\) | −9.46410 | + | 5.46410i | −0.499496 | + | 0.288384i | −0.728505 | − | 0.685040i | \(-0.759785\pi\) |
0.229009 | + | 0.973424i | \(0.426451\pi\) | |||||||
\(360\) | −1.09808 | + | 3.29423i | −0.0578737 | + | 0.173621i | ||||
\(361\) | 5.76795 | − | 9.99038i | 0.303576 | − | 0.525810i | ||||
\(362\) | 27.4904 | + | 27.4904i | 1.44486 | + | 1.44486i | ||||
\(363\) | 10.5000 | − | 6.06218i | 0.551107 | − | 0.318182i | ||||
\(364\) | −24.1244 | + | 1.73205i | −1.26446 | + | 0.0907841i | ||||
\(365\) | −1.60770 | − | 7.85641i | −0.0841506 | − | 0.411223i | ||||
\(366\) | 2.53590 | + | 9.46410i | 0.132554 | + | 0.494697i | ||||
\(367\) | −1.42820 | + | 5.33013i | −0.0745516 | + | 0.278230i | −0.993131 | − | 0.117006i | \(-0.962670\pi\) |
0.918580 | + | 0.395236i | \(0.129337\pi\) | |||||||
\(368\) | 15.0263 | − | 4.02628i | 0.783299 | − | 0.209884i | ||||
\(369\) | −7.79423 | − | 4.50000i | −0.405751 | − | 0.234261i | ||||
\(370\) | −2.53590 | + | 1.26795i | −0.131835 | + | 0.0659175i | ||||
\(371\) | 5.73205 | + | 8.46410i | 0.297593 | + | 0.439434i | ||||
\(372\) | −3.80385 | − | 2.19615i | −0.197220 | − | 0.113865i | ||||
\(373\) | 7.56218 | − | 2.02628i | 0.391555 | − | 0.104917i | −0.0576697 | − | 0.998336i | \(-0.518367\pi\) |
0.449224 | + | 0.893419i | \(0.351700\pi\) | |||||||
\(374\) | 29.8564 | 1.54384 | ||||||||
\(375\) | −14.7679 | − | 12.5263i | −0.762614 | − | 0.646854i | ||||
\(376\) | − | 3.92820i | − | 0.202582i | ||||||
\(377\) | 14.6603 | + | 14.6603i | 0.755041 | + | 0.755041i | ||||
\(378\) | 11.5981 | − | 23.8923i | 0.596541 | − | 1.22889i | ||||
\(379\) | 17.5167i | 0.899770i | 0.893086 | + | 0.449885i | \(0.148535\pi\) | ||||
−0.893086 | + | 0.449885i | \(0.851465\pi\) | |||||||
\(380\) | −9.46410 | + | 4.73205i | −0.485498 | + | 0.242749i | ||||
\(381\) | 22.7942 | − | 6.10770i | 1.16778 | − | 0.312907i | ||||
\(382\) | 13.3923 | − | 13.3923i | 0.685210 | − | 0.685210i | ||||
\(383\) | 2.83975 | + | 10.5981i | 0.145104 | + | 0.541536i | 0.999751 | + | 0.0223261i | \(0.00710720\pi\) |
−0.854647 | + | 0.519210i | \(0.826226\pi\) | |||||||
\(384\) | −1.83975 | − | 6.86603i | −0.0938841 | − | 0.350380i | ||||
\(385\) | 8.26795 | − | 8.46410i | 0.421374 | − | 0.431371i | ||||
\(386\) | −0.535898 | −0.0272765 | ||||||||
\(387\) | 7.09808 | + | 7.09808i | 0.360815 | + | 0.360815i | ||||
\(388\) | 6.75833 | + | 25.2224i | 0.343102 | + | 1.28047i | ||||
\(389\) | 7.83975 | − | 4.52628i | 0.397491 | − | 0.229491i | −0.287910 | − | 0.957658i | \(-0.592960\pi\) |
0.685401 | + | 0.728166i | \(0.259627\pi\) | |||||||
\(390\) | −39.4186 | − | 2.36603i | −1.99604 | − | 0.119808i | ||||
\(391\) | −23.3205 | + | 13.4641i | −1.17937 | + | 0.680909i | ||||
\(392\) | 3.59808 | + | 0.428203i | 0.181730 | + | 0.0216275i | ||||
\(393\) | −4.39230 | − | 7.60770i | −0.221562 | − | 0.383757i | ||||
\(394\) | 10.9282i | 0.550555i | ||||||||
\(395\) | 0.607695 | − | 10.1244i | 0.0305765 | − | 0.509412i | ||||
\(396\) | 9.00000 | + | 5.19615i | 0.452267 | + | 0.261116i | ||||
\(397\) | 7.85641 | − | 29.3205i | 0.394302 | − | 1.47155i | −0.428664 | − | 0.903464i | \(-0.641016\pi\) |
0.822966 | − | 0.568090i | \(-0.192318\pi\) | |||||||
\(398\) | −2.19615 | − | 8.19615i | −0.110083 | − | 0.410836i | ||||
\(399\) | −11.8301 | + | 4.09808i | −0.592247 | + | 0.205160i | ||||
\(400\) | 22.1603 | + | 2.66987i | 1.10801 | + | 0.133494i | ||||
\(401\) | 4.69615 | − | 8.13397i | 0.234515 | − | 0.406191i | −0.724617 | − | 0.689152i | \(-0.757983\pi\) |
0.959132 | + | 0.282961i | \(0.0913166\pi\) | |||||||
\(402\) | 10.5622 | − | 18.2942i | 0.526794 | − | 0.912433i | ||||
\(403\) | −2.00000 | + | 7.46410i | −0.0996271 | + | 0.371813i | ||||
\(404\) | −3.23205 | − | 5.59808i | −0.160801 | − | 0.278515i | ||||
\(405\) | 11.0885 | − | 16.7942i | 0.550990 | − | 0.834512i | ||||
\(406\) | 11.2583 | + | 16.6244i | 0.558742 | + | 0.825053i | ||||
\(407\) | −0.339746 | − | 1.26795i | −0.0168406 | − | 0.0628499i | ||||
\(408\) | 3.46410 | + | 6.00000i | 0.171499 | + | 0.297044i | ||||
\(409\) | 22.3205 | 1.10368 | 0.551839 | − | 0.833951i | \(-0.313926\pi\) | ||||
0.551839 | + | 0.833951i | \(0.313926\pi\) | |||||||
\(410\) | −4.09808 | + | 12.2942i | −0.202390 | + | 0.607169i | ||||
\(411\) | −1.73205 | − | 1.73205i | −0.0854358 | − | 0.0854358i | ||||
\(412\) | 15.0622 | − | 4.03590i | 0.742060 | − | 0.198834i | ||||
\(413\) | 13.0981 | + | 37.8109i | 0.644514 | + | 1.86055i | ||||
\(414\) | −20.1962 | −0.992587 | ||||||||
\(415\) | −5.25833 | − | 25.6962i | −0.258121 | − | 1.26137i | ||||
\(416\) | 34.6865 | − | 20.0263i | 1.70065 | − | 0.981869i | ||||
\(417\) | − | 21.8038i | − | 1.06774i | ||||||
\(418\) | −2.73205 | − | 10.1962i | −0.133629 | − | 0.498710i | ||||
\(419\) | 1.16987 | + | 2.02628i | 0.0571520 | + | 0.0989902i | 0.893186 | − | 0.449688i | \(-0.148465\pi\) |
−0.836034 | + | 0.548678i | \(0.815131\pi\) | |||||||
\(420\) | −17.1962 | − | 4.39230i | −0.839086 | − | 0.214323i | ||||
\(421\) | −2.40192 | + | 4.16025i | −0.117063 | + | 0.202758i | −0.918602 | − | 0.395183i | \(-0.870681\pi\) |
0.801540 | + | 0.597941i | \(0.204014\pi\) | |||||||
\(422\) | 24.3923 | + | 6.53590i | 1.18740 | + | 0.318163i | ||||
\(423\) | −5.89230 | + | 21.9904i | −0.286494 | + | 1.06921i | ||||
\(424\) | −1.73205 | − | 1.00000i | −0.0841158 | − | 0.0485643i | ||||
\(425\) | −38.2487 | + | 5.46410i | −1.85534 | + | 0.265048i | ||||
\(426\) | −15.2942 | + | 4.09808i | −0.741008 | + | 0.198552i | ||||
\(427\) | 7.32051 | − | 2.53590i | 0.354264 | − | 0.122721i | ||||
\(428\) | 5.30385 | − | 19.7942i | 0.256371 | − | 0.956790i | ||||
\(429\) | 4.73205 | − | 17.6603i | 0.228466 | − | 0.852645i | ||||
\(430\) | 7.96410 | − | 12.0622i | 0.384063 | − | 0.581690i | ||||
\(431\) | −10.2942 | + | 17.8301i | −0.495856 | + | 0.858847i | −0.999989 | − | 0.00477901i | \(-0.998479\pi\) |
0.504133 | + | 0.863626i | \(0.331812\pi\) | |||||||
\(432\) | 23.1962i | 1.11603i | ||||||||
\(433\) | 0.124356 | − | 0.124356i | 0.00597615 | − | 0.00597615i | −0.704112 | − | 0.710089i | \(-0.748655\pi\) |
0.710089 | + | 0.704112i | \(0.248655\pi\) | |||||||
\(434\) | −3.26795 | + | 6.73205i | −0.156867 | + | 0.323149i | ||||
\(435\) | 6.80385 | + | 13.6077i | 0.326220 | + | 0.652439i | ||||
\(436\) | 5.42820 | − | 9.40192i | 0.259964 | − | 0.450270i | ||||
\(437\) | 6.73205 | + | 6.73205i | 0.322038 | + | 0.322038i | ||||
\(438\) | −6.00000 | − | 10.3923i | −0.286691 | − | 0.496564i | ||||
\(439\) | 35.8564 | 1.71133 | 0.855666 | − | 0.517528i | \(-0.173148\pi\) | ||||
0.855666 | + | 0.517528i | \(0.173148\pi\) | |||||||
\(440\) | −0.732051 | + | 2.19615i | −0.0348992 | + | 0.104697i | ||||
\(441\) | −19.5000 | − | 7.79423i | −0.928571 | − | 0.371154i | ||||
\(442\) | −55.7128 | + | 55.7128i | −2.64999 | + | 2.64999i | ||||
\(443\) | 8.63397 | + | 8.63397i | 0.410213 | + | 0.410213i | 0.881813 | − | 0.471600i | \(-0.156323\pi\) |
−0.471600 | + | 0.881813i | \(0.656323\pi\) | |||||||
\(444\) | −1.39230 | + | 1.39230i | −0.0660759 | + | 0.0660759i | ||||
\(445\) | −14.9282 | − | 29.8564i | −0.707665 | − | 1.41533i | ||||
\(446\) | 12.6962 | + | 7.33013i | 0.601180 | + | 0.347092i | ||||
\(447\) | −13.3923 | − | 23.1962i | −0.633434 | − | 1.09714i | ||||
\(448\) | 14.3301 | − | 4.96410i | 0.677035 | − | 0.234532i | ||||
\(449\) | 7.33975i | 0.346384i | 0.984888 | + | 0.173192i | \(0.0554081\pi\) | ||||
−0.984888 | + | 0.173192i | \(0.944592\pi\) | |||||||
\(450\) | −26.8923 | − | 10.7942i | −1.26772 | − | 0.508845i | ||||
\(451\) | −5.19615 | − | 3.00000i | −0.244677 | − | 0.141264i | ||||
\(452\) | −16.3923 | − | 4.39230i | −0.771029 | − | 0.206597i | ||||
\(453\) | 30.5885i | 1.43717i | ||||||||
\(454\) | 18.5622 | + | 32.1506i | 0.871166 | + | 1.50890i | ||||
\(455\) | 0.366025 | + | 31.2224i | 0.0171595 | + | 1.46373i | ||||
\(456\) | 1.73205 | − | 1.73205i | 0.0811107 | − | 0.0811107i | ||||
\(457\) | −23.0526 | + | 23.0526i | −1.07835 | + | 1.07835i | −0.0816959 | + | 0.996657i | \(0.526034\pi\) |
−0.996657 | + | 0.0816959i | \(0.973966\pi\) | |||||||
\(458\) | 2.66987 | + | 9.96410i | 0.124755 | + | 0.465592i | ||||
\(459\) | −10.3923 | − | 38.7846i | −0.485071 | − | 1.81031i | ||||
\(460\) | 2.70577 | + | 13.2224i | 0.126157 | + | 0.616499i | ||||
\(461\) | −20.7679 | − | 11.9904i | −0.967260 | − | 0.558448i | −0.0688601 | − | 0.997626i | \(-0.521936\pi\) |
−0.898400 | + | 0.439179i | \(0.855270\pi\) | |||||||
\(462\) | 7.73205 | − | 15.9282i | 0.359728 | − | 0.741047i | ||||
\(463\) | 3.83975 | − | 14.3301i | 0.178448 | − | 0.665977i | −0.817490 | − | 0.575942i | \(-0.804635\pi\) |
0.995939 | − | 0.0900353i | \(-0.0286980\pi\) | |||||||
\(464\) | −15.1865 | − | 8.76795i | −0.705017 | − | 0.407042i | ||||
\(465\) | −3.12436 | + | 4.73205i | −0.144889 | + | 0.219444i | ||||
\(466\) | −12.4641 | − | 21.5885i | −0.577388 | − | 1.00007i | ||||
\(467\) | −0.669873 | + | 2.50000i | −0.0309980 | + | 0.115686i | −0.979691 | − | 0.200511i | \(-0.935740\pi\) |
0.948693 | + | 0.316198i | \(0.102406\pi\) | |||||||
\(468\) | −26.4904 | + | 7.09808i | −1.22452 | + | 0.328109i | ||||
\(469\) | −15.0263 | − | 7.29423i | −0.693849 | − | 0.336816i | ||||
\(470\) | 32.7224 | + | 1.96410i | 1.50937 | + | 0.0905973i | ||||
\(471\) | −4.56218 | − | 17.0263i | −0.210214 | − | 0.784530i | ||||
\(472\) | −5.53590 | − | 5.53590i | −0.254810 | − | 0.254810i | ||||
\(473\) | 4.73205 | + | 4.73205i | 0.217580 | + | 0.217580i | ||||
\(474\) | −3.92820 | − | 14.6603i | −0.180428 | − | 0.673368i | ||||
\(475\) | 5.36603 | + | 12.5622i | 0.246210 | + | 0.576392i | ||||
\(476\) | −29.3205 | + | 19.8564i | −1.34390 | + | 0.910117i | ||||
\(477\) | 8.19615 | + | 8.19615i | 0.375276 | + | 0.375276i | ||||
\(478\) | 1.00000 | − | 3.73205i | 0.0457389 | − | 0.170700i | ||||
\(479\) | −8.63397 | − | 14.9545i | −0.394496 | − | 0.683288i | 0.598540 | − | 0.801093i | \(-0.295748\pi\) |
−0.993037 | + | 0.117805i | \(0.962414\pi\) | |||||||
\(480\) | 28.7942 | − | 5.89230i | 1.31427 | − | 0.268946i | ||||
\(481\) | 3.00000 | + | 1.73205i | 0.136788 | + | 0.0789747i | ||||
\(482\) | −11.2321 | + | 41.9186i | −0.511606 | + | 1.90934i | ||||
\(483\) | 1.14359 | + | 15.9282i | 0.0520353 | + | 0.724758i | ||||
\(484\) | −10.5000 | − | 6.06218i | −0.477273 | − | 0.275554i | ||||
\(485\) | 33.0263 | − | 6.75833i | 1.49965 | − | 0.306880i | ||||
\(486\) | 7.79423 | − | 29.0885i | 0.353553 | − | 1.31948i | ||||
\(487\) | 7.97372 | + | 29.7583i | 0.361324 | + | 1.34848i | 0.872337 | + | 0.488906i | \(0.162604\pi\) |
−0.511013 | + | 0.859573i | \(0.670730\pi\) | |||||||
\(488\) | −1.07180 | + | 1.07180i | −0.0485180 | + | 0.0485180i | ||||
\(489\) | −11.7846 | + | 11.7846i | −0.532918 | + | 0.532918i | ||||
\(490\) | −5.36603 | + | 29.7583i | −0.242412 | + | 1.34434i | ||||
\(491\) | 8.29423 | + | 14.3660i | 0.374313 | + | 0.648330i | 0.990224 | − | 0.139486i | \(-0.0445451\pi\) |
−0.615911 | + | 0.787816i | \(0.711212\pi\) | |||||||
\(492\) | 9.00000i | 0.405751i | ||||||||
\(493\) | 29.3205 | + | 7.85641i | 1.32053 | + | 0.353835i | ||||
\(494\) | 24.1244 | + | 13.9282i | 1.08541 | + | 0.626659i | ||||
\(495\) | 7.39230 | − | 11.1962i | 0.332259 | − | 0.503230i | ||||
\(496\) | − | 6.53590i | − | 0.293471i | ||||||
\(497\) | 4.09808 | + | 11.8301i | 0.183824 | + | 0.530654i | ||||
\(498\) | −19.6244 | − | 33.9904i | −0.879388 | − | 1.52315i | ||||
\(499\) | 15.2487 | + | 8.80385i | 0.682626 | + | 0.394114i | 0.800844 | − | 0.598873i | \(-0.204385\pi\) |
−0.118218 | + | 0.992988i | \(0.537718\pi\) | |||||||
\(500\) | −3.46410 | + | 19.0526i | −0.154919 | + | 0.852056i | ||||
\(501\) | 4.26795 | − | 4.26795i | 0.190678 | − | 0.190678i | ||||
\(502\) | −5.00000 | − | 5.00000i | −0.223161 | − | 0.223161i | ||||
\(503\) | −4.36603 | + | 4.36603i | −0.194671 | + | 0.194671i | −0.797711 | − | 0.603040i | \(-0.793956\pi\) |
0.603040 | + | 0.797711i | \(0.293956\pi\) | |||||||
\(504\) | 4.09808 | − | 0.294229i | 0.182543 | − | 0.0131060i | ||||
\(505\) | −7.46410 | + | 3.73205i | −0.332148 | + | 0.166074i | ||||
\(506\) | −13.4641 | −0.598552 | ||||||||
\(507\) | 12.8660 | + | 22.2846i | 0.571400 | + | 0.989694i | ||||
\(508\) | −16.6865 | − | 16.6865i | −0.740345 | − | 0.740345i | ||||
\(509\) | −16.4545 | + | 28.5000i | −0.729332 | + | 1.26324i | 0.227834 | + | 0.973700i | \(0.426836\pi\) |
−0.957166 | + | 0.289540i | \(0.906498\pi\) | |||||||
\(510\) | −51.7128 | + | 25.8564i | −2.28988 | + | 1.14494i | ||||
\(511\) | −7.85641 | + | 5.32051i | −0.347547 | + | 0.235365i | ||||
\(512\) | −20.6865 | + | 20.6865i | −0.914224 | + | 0.914224i | ||||
\(513\) | −12.2942 | + | 7.09808i | −0.542803 | + | 0.313388i | ||||
\(514\) | 0.267949 | − | 0.464102i | 0.0118187 | − | 0.0204706i | ||||
\(515\) | −4.03590 | − | 19.7224i | −0.177843 | − | 0.869074i | ||||
\(516\) | 2.59808 | − | 9.69615i | 0.114374 | − | 0.426849i | ||||
\(517\) | −3.92820 | + | 14.6603i | −0.172762 | + | 0.644757i | ||||
\(518\) | 2.53590 | + | 2.19615i | 0.111421 | + | 0.0964934i | ||||
\(519\) | 37.8564 | − | 10.1436i | 1.66171 | − | 0.445254i | ||||
\(520\) | −2.73205 | − | 5.46410i | −0.119808 | − | 0.239617i | ||||
\(521\) | −6.35641 | − | 3.66987i | −0.278479 | − | 0.160780i | 0.354256 | − | 0.935149i | \(-0.384734\pi\) |
−0.632735 | + | 0.774369i | \(0.718068\pi\) | |||||||
\(522\) | 16.0981 | + | 16.0981i | 0.704594 | + | 0.704594i | ||||
\(523\) | 23.2583 | + | 6.23205i | 1.01702 | + | 0.272509i | 0.728558 | − | 0.684984i | \(-0.240191\pi\) |
0.288458 | + | 0.957493i | \(0.406858\pi\) | |||||||
\(524\) | −4.39230 | + | 7.60770i | −0.191879 | + | 0.332344i | ||||
\(525\) | −6.99038 | + | 21.8205i | −0.305085 | + | 0.952325i | ||||
\(526\) | 5.33013 | + | 9.23205i | 0.232405 | + | 0.402537i | ||||
\(527\) | 2.92820 | + | 10.9282i | 0.127555 | + | 0.476040i | ||||
\(528\) | 15.4641i | 0.672989i | ||||||||
\(529\) | −9.40192 | + | 5.42820i | −0.408779 | + | 0.236009i | ||||
\(530\) | 9.19615 | − | 13.9282i | 0.399455 | − | 0.605002i | ||||
\(531\) | 22.6865 | + | 39.2942i | 0.984512 | + | 1.70522i | ||||
\(532\) | 9.46410 | + | 8.19615i | 0.410321 | + | 0.355348i | ||||
\(533\) | 15.2942 | − | 4.09808i | 0.662467 | − | 0.177507i | ||||
\(534\) | −35.3205 | − | 35.3205i | −1.52847 | − | 1.52847i | ||||
\(535\) | −25.0981 | − | 8.36603i | −1.08508 | − | 0.361695i | ||||
\(536\) | 3.26795 | 0.141154 | ||||||||
\(537\) | −1.09808 | − | 1.90192i | −0.0473855 | − | 0.0820741i | ||||
\(538\) | −14.1962 | − | 52.9808i | −0.612040 | − | 2.28416i | ||||
\(539\) | −13.0000 | − | 5.19615i | −0.559950 | − | 0.223814i | ||||
\(540\) | −20.0885 | − | 1.20577i | −0.864470 | − | 0.0518881i | ||||
\(541\) | 3.46410 | + | 6.00000i | 0.148933 | + | 0.257960i | 0.930834 | − | 0.365444i | \(-0.119083\pi\) |
−0.781900 | + | 0.623404i | \(0.785749\pi\) | |||||||
\(542\) | 16.2942 | − | 60.8109i | 0.699897 | − | 2.61205i | ||||
\(543\) | 17.4282 | − | 30.1865i | 0.747916 | − | 1.29543i | ||||
\(544\) | 29.3205 | − | 50.7846i | 1.25711 | − | 2.17737i | ||||
\(545\) | −11.6962 | − | 7.72243i | −0.501008 | − | 0.330793i | ||||
\(546\) | 15.2942 | + | 44.1506i | 0.654533 | + | 1.88947i | ||||
\(547\) | −10.4019 | − | 38.8205i | −0.444754 | − | 1.65985i | −0.716585 | − | 0.697500i | \(-0.754296\pi\) |
0.271831 | − | 0.962345i | \(-0.412371\pi\) | |||||||
\(548\) | −0.633975 | + | 2.36603i | −0.0270821 | + | 0.101072i | ||||
\(549\) | 7.60770 | − | 4.39230i | 0.324689 | − | 0.187459i | ||||
\(550\) | −17.9282 | − | 7.19615i | −0.764461 | − | 0.306845i | ||||
\(551\) | − | 10.7321i | − | 0.457201i | ||||||
\(552\) | −1.56218 | − | 2.70577i | −0.0664907 | − | 0.115165i | ||||
\(553\) | −11.3397 | + | 3.92820i | −0.482215 | + | 0.167044i | ||||
\(554\) | −19.3923 | + | 11.1962i | −0.823900 | + | 0.475679i | ||||
\(555\) | 1.68653 | + | 1.90192i | 0.0715894 | + | 0.0807322i | ||||
\(556\) | −18.8827 | + | 10.9019i | −0.800804 | + | 0.462345i | ||||
\(557\) | −11.0718 | − | 41.3205i | −0.469127 | − | 1.75081i | −0.642831 | − | 0.766008i | \(-0.722240\pi\) |
0.173704 | − | 0.984798i | \(-0.444426\pi\) | |||||||
\(558\) | −2.19615 | + | 8.19615i | −0.0929705 | + | 0.346971i | ||||
\(559\) | −17.6603 | −0.746949 | ||||||||
\(560\) | −7.13397 | − | 25.4282i | −0.301465 | − | 1.07454i | ||||
\(561\) | −6.92820 | − | 25.8564i | −0.292509 | − | 1.09166i | ||||
\(562\) | −11.1340 | − | 41.5526i | −0.469658 | − | 1.75279i | ||||
\(563\) | 3.00000 | − | 3.00000i | 0.126435 | − | 0.126435i | −0.641058 | − | 0.767493i | \(-0.721504\pi\) |
0.767493 | + | 0.641058i | \(0.221504\pi\) | |||||||
\(564\) | 21.9904 | − | 5.89230i | 0.925962 | − | 0.248111i | ||||
\(565\) | −6.92820 | + | 20.7846i | −0.291472 | + | 0.874415i | ||||
\(566\) | − | 26.3205i | − | 1.10633i | ||||||
\(567\) | −23.3827 | − | 4.50000i | −0.981981 | − | 0.188982i | ||||
\(568\) | −1.73205 | − | 1.73205i | −0.0726752 | − | 0.0726752i | ||||
\(569\) | 10.9282i | 0.458134i | 0.973411 | + | 0.229067i | \(0.0735675\pi\) | ||||
−0.973411 | + | 0.229067i | \(0.926432\pi\) | |||||||
\(570\) | 13.5622 | + | 15.2942i | 0.568057 | + | 0.640605i | ||||
\(571\) | 6.19615 | 0.259301 | 0.129650 | − | 0.991560i | \(-0.458614\pi\) | ||||
0.129650 | + | 0.991560i | \(0.458614\pi\) | |||||||
\(572\) | −17.6603 | + | 4.73205i | −0.738412 | + | 0.197857i | ||||
\(573\) | −14.7058 | − | 8.49038i | −0.614342 | − | 0.354691i | ||||
\(574\) | 15.2942 | − | 1.09808i | 0.638369 | − | 0.0458328i | ||||
\(575\) | 17.2487 | − | 2.46410i | 0.719321 | − | 0.102760i | ||||
\(576\) | 14.8923 | − | 8.59808i | 0.620513 | − | 0.358253i | ||||
\(577\) | 32.8564 | − | 8.80385i | 1.36783 | − | 0.366509i | 0.501144 | − | 0.865364i | \(-0.332913\pi\) |
0.866686 | + | 0.498855i | \(0.166246\pi\) | |||||||
\(578\) | −21.3564 | + | 79.7032i | −0.888309 | + | 3.31522i | ||||
\(579\) | 0.124356 | + | 0.464102i | 0.00516804 | + | 0.0192874i | ||||
\(580\) | 8.38269 | − | 12.6962i | 0.348072 | − | 0.527179i | ||||
\(581\) | −25.6962 | + | 17.4019i | −1.06606 | + | 0.721953i | ||||
\(582\) | 43.6865 | − | 25.2224i | 1.81087 | − | 1.04550i | ||||
\(583\) | 5.46410 | + | 5.46410i | 0.226300 | + | 0.226300i | ||||
\(584\) | 0.928203 | − | 1.60770i | 0.0384093 | − | 0.0665269i | ||||
\(585\) | 7.09808 | + | 34.6865i | 0.293469 | + | 1.43411i | ||||
\(586\) | −11.6603 | + | 6.73205i | −0.481681 | + | 0.278098i | ||||
\(587\) | 26.1603 | − | 7.00962i | 1.07975 | − | 0.289318i | 0.325256 | − | 0.945626i | \(-0.394549\pi\) |
0.754493 | + | 0.656308i | \(0.227883\pi\) | |||||||
\(588\) | 3.00000 | + | 20.7846i | 0.123718 | + | 0.857143i | ||||
\(589\) | 3.46410 | − | 2.00000i | 0.142736 | − | 0.0824086i | ||||
\(590\) | 48.8827 | − | 43.3468i | 2.01247 | − | 1.78456i | ||||
\(591\) | 9.46410 | − | 2.53590i | 0.389301 | − | 0.104313i | ||||
\(592\) | −2.83013 | − | 0.758330i | −0.116318 | − | 0.0311672i | ||||
\(593\) | 28.9545 | + | 7.75833i | 1.18902 | + | 0.318596i | 0.798498 | − | 0.601998i | \(-0.205628\pi\) |
0.390520 | + | 0.920594i | \(0.372295\pi\) | |||||||
\(594\) | 5.19615 | − | 19.3923i | 0.213201 | − | 0.795676i | ||||
\(595\) | 23.3205 | + | 39.3205i | 0.956048 | + | 1.61198i | ||||
\(596\) | −13.3923 | + | 23.1962i | −0.548570 | + | 0.950151i | ||||
\(597\) | −6.58846 | + | 3.80385i | −0.269648 | + | 0.155681i | ||||
\(598\) | 25.1244 | − | 25.1244i | 1.02741 | − | 1.02741i | ||||
\(599\) | − | 18.1436i | − | 0.741327i | −0.928767 | − | 0.370664i | \(-0.879130\pi\) | ||
0.928767 | − | 0.370664i | \(-0.120870\pi\) | |||||||
\(600\) | −0.633975 | − | 4.43782i | −0.0258819 | − | 0.181173i | ||||
\(601\) | −29.3205 | − | 16.9282i | −1.19601 | − | 0.690516i | −0.236346 | − | 0.971669i | \(-0.575950\pi\) |
−0.959663 | + | 0.281153i | \(0.909283\pi\) | |||||||
\(602\) | −16.7942 | − | 3.23205i | −0.684482 | − | 0.131729i | ||||
\(603\) | −18.2942 | − | 4.90192i | −0.744999 | − | 0.199622i | ||||
\(604\) | 26.4904 | − | 15.2942i | 1.07788 | − | 0.622313i | ||||
\(605\) | −8.62436 | + | 13.0622i | −0.350630 | + | 0.531053i | ||||
\(606\) | −8.83013 | + | 8.83013i | −0.358699 | + | 0.358699i | ||||
\(607\) | 3.69615 | − | 0.990381i | 0.150022 | − | 0.0401983i | −0.183026 | − | 0.983108i | \(-0.558589\pi\) |
0.333049 | + | 0.942910i | \(0.391923\pi\) | |||||||
\(608\) | −20.0263 | − | 5.36603i | −0.812173 | − | 0.217621i | ||||
\(609\) | 11.7846 | − | 13.6077i | 0.477536 | − | 0.551412i | ||||
\(610\) | −8.39230 | − | 9.46410i | −0.339794 | − | 0.383190i | ||||
\(611\) | −20.0263 | − | 34.6865i | −0.810177 | − | 1.40327i | ||||
\(612\) | −28.3923 | + | 28.3923i | −1.14769 | + | 1.14769i | ||||
\(613\) | −22.7583 | + | 6.09808i | −0.919200 | + | 0.246299i | −0.687244 | − | 0.726427i | \(-0.741179\pi\) |
−0.231957 | + | 0.972726i | \(0.574513\pi\) | |||||||
\(614\) | −14.6603 | −0.591640 | ||||||||
\(615\) | 11.5981 | + | 0.696152i | 0.467680 | + | 0.0280716i | ||||
\(616\) | 2.73205 | − | 0.196152i | 0.110077 | − | 0.00790321i | ||||
\(617\) | 12.3923 | + | 3.32051i | 0.498895 | + | 0.133679i | 0.499487 | − | 0.866321i | \(-0.333522\pi\) |
−0.000591902 | 1.00000i | \(0.500188\pi\) | ||||||||
\(618\) | −15.0622 | − | 26.0885i | −0.605890 | − | 1.04943i | ||||
\(619\) | −20.3923 | − | 35.3205i | −0.819636 | − | 1.41965i | −0.905951 | − | 0.423383i | \(-0.860842\pi\) |
0.0863148 | − | 0.996268i | \(-0.472491\pi\) | |||||||
\(620\) | 5.66025 | + | 0.339746i | 0.227321 | + | 0.0136445i | ||||
\(621\) | 4.68653 | + | 17.4904i | 0.188064 | + | 0.701865i | ||||
\(622\) | 9.73205 | + | 9.73205i | 0.390220 | + | 0.390220i | ||||
\(623\) | −25.8564 | + | 29.8564i | −1.03592 | + | 1.19617i | ||||
\(624\) | −28.8564 | − | 28.8564i | −1.15518 | − | 1.15518i | ||||
\(625\) | 24.2846 | + | 5.93782i | 0.971384 | + | 0.237513i | ||||
\(626\) | − | 4.39230i | − | 0.175552i | ||||||
\(627\) | −8.19615 | + | 4.73205i | −0.327323 | + | 0.188980i | ||||
\(628\) | −12.4641 | + | 12.4641i | −0.497372 | + | 0.497372i | ||||
\(629\) | 5.07180 | 0.202226 | ||||||||
\(630\) | 0.401924 | + | 34.2846i | 0.0160130 | + | 1.36593i | ||||
\(631\) | 15.8564 | 0.631234 | 0.315617 | − | 0.948887i | \(-0.397789\pi\) | ||||
0.315617 | + | 0.948887i | \(0.397789\pi\) | |||||||
\(632\) | 1.66025 | − | 1.66025i | 0.0660414 | − | 0.0660414i | ||||
\(633\) | − | 22.6410i | − | 0.899900i | ||||||
\(634\) | 23.1244i | 0.918385i | ||||||||
\(635\) | −22.7942 | + | 20.2128i | −0.904561 | + | 0.802121i | ||||
\(636\) | 3.00000 | − | 11.1962i | 0.118958 | − | 0.443956i | ||||
\(637\) | 33.9545 | − | 14.5622i | 1.34533 | − | 0.576974i | ||||
\(638\) | 10.7321 | + | 10.7321i | 0.424886 | + | 0.424886i | ||||
\(639\) | 7.09808 | + | 12.2942i | 0.280796 | + | 0.486352i | ||||
\(640\) | 6.08846 | + | 6.86603i | 0.240667 | + | 0.271403i | ||||
\(641\) | −19.1962 | − | 33.2487i | −0.758202 | − | 1.31325i | −0.943766 | − | 0.330613i | \(-0.892745\pi\) |
0.185564 | − | 0.982632i | \(-0.440589\pi\) | |||||||
\(642\) | −39.5885 | −1.56243 | ||||||||
\(643\) | 36.6506 | + | 9.82051i | 1.44536 | + | 0.387283i | 0.894407 | − | 0.447253i | \(-0.147598\pi\) |
0.550953 | + | 0.834536i | \(0.314264\pi\) | |||||||
\(644\) | 13.2224 | − | 8.95448i | 0.521037 | − | 0.352856i | ||||
\(645\) | −12.2942 | − | 4.09808i | −0.484085 | − | 0.161362i | ||||
\(646\) | 40.7846 | 1.60465 | ||||||||
\(647\) | −27.6244 | + | 7.40192i | −1.08603 | + | 0.291000i | −0.757062 | − | 0.653343i | \(-0.773366\pi\) |
−0.328963 | + | 0.944343i | \(0.606699\pi\) | |||||||
\(648\) | 4.50000 | − | 1.20577i | 0.176777 | − | 0.0473672i | ||||
\(649\) | 15.1244 | + | 26.1962i | 0.593683 | + | 1.02829i | ||||
\(650\) | 46.8827 | − | 20.0263i | 1.83889 | − | 0.785495i | ||||
\(651\) | 6.58846 | + | 1.26795i | 0.258222 | + | 0.0496948i | ||||
\(652\) | 16.0981 | + | 4.31347i | 0.630449 | + | 0.168928i | ||||
\(653\) | −15.3923 | + | 4.12436i | −0.602347 | + | 0.161399i | −0.547090 | − | 0.837074i | \(-0.684265\pi\) |
−0.0552572 | + | 0.998472i | \(0.517598\pi\) | |||||||
\(654\) | −20.2583 | − | 5.42820i | −0.792163 | − | 0.212260i | ||||
\(655\) | 9.46410 | + | 6.24871i | 0.369793 | + | 0.244157i | ||||
\(656\) | −11.5981 | + | 6.69615i | −0.452829 | + | 0.261441i | ||||
\(657\) | −7.60770 | + | 7.60770i | −0.296804 | + | 0.296804i | ||||
\(658\) | −12.6962 | − | 36.6506i | −0.494948 | − | 1.42879i | ||||
\(659\) | 34.3468 | + | 19.8301i | 1.33796 | + | 0.772472i | 0.986505 | − | 0.163732i | \(-0.0523533\pi\) |
0.351456 | + | 0.936204i | \(0.385687\pi\) | |||||||
\(660\) | −13.3923 | − | 0.803848i | −0.521295 | − | 0.0312897i | ||||
\(661\) | 23.3923i | 0.909855i | 0.890528 | + | 0.454928i | \(0.150335\pi\) | ||||
−0.890528 | + | 0.454928i | \(0.849665\pi\) | |||||||
\(662\) | 8.19615 | − | 8.19615i | 0.318553 | − | 0.318553i | ||||
\(663\) | 61.1769 | + | 35.3205i | 2.37591 | + | 1.37173i | ||||
\(664\) | 3.03590 | − | 5.25833i | 0.117816 | − | 0.204063i | ||||
\(665\) | 11.2942 | − | 11.5622i | 0.437971 | − | 0.448362i | ||||
\(666\) | 3.29423 | + | 1.90192i | 0.127649 | + | 0.0736980i | ||||
\(667\) | −13.2224 | − | 3.54294i | −0.511975 | − | 0.137183i | ||||
\(668\) | −5.83013 | − | 1.56218i | −0.225574 | − | 0.0604425i | ||||
\(669\) | 3.40192 | − | 12.6962i | 0.131526 | − | 0.490862i | ||||
\(670\) | −1.63397 | + | 27.2224i | −0.0631259 | + | 1.05169i | ||||
\(671\) | 5.07180 | − | 2.92820i | 0.195795 | − | 0.113042i | ||||
\(672\) | −19.5000 | − | 28.7942i | −0.752229 | − | 1.11076i | ||||
\(673\) | −13.5622 | + | 3.63397i | −0.522784 | + | 0.140079i | −0.510554 | − | 0.859846i | \(-0.670560\pi\) |
−0.0122297 | + | 0.999925i | \(0.503893\pi\) | |||||||
\(674\) | 12.7583 | − | 7.36603i | 0.491433 | − | 0.283729i | ||||
\(675\) | −3.10770 | + | 25.7942i | −0.119615 | + | 0.992820i | ||||
\(676\) | 12.8660 | − | 22.2846i | 0.494847 | − | 0.857100i | ||||
\(677\) | 34.5167 | + | 34.5167i | 1.32658 | + | 1.32658i | 0.908331 | + | 0.418252i | \(0.137357\pi\) |
0.418252 | + | 0.908331i | \(0.362643\pi\) | |||||||
\(678\) | 32.7846i | 1.25909i | ||||||||
\(679\) | −22.3660 | − | 33.0263i | −0.858329 | − | 1.26743i | ||||
\(680\) | −7.46410 | − | 4.92820i | −0.286235 | − | 0.188988i | ||||
\(681\) | 23.5359 | − | 23.5359i | 0.901898 | − | 0.901898i | ||||
\(682\) | −1.46410 | + | 5.46410i | −0.0560633 | + | 0.209231i | ||||
\(683\) | 11.5000 | − | 3.08142i | 0.440035 | − | 0.117907i | −0.0319978 | − | 0.999488i | \(-0.510187\pi\) |
0.472033 | + | 0.881581i | \(0.343520\pi\) | |||||||
\(684\) | 12.2942 | + | 7.09808i | 0.470082 | + | 0.271402i | ||||
\(685\) | 3.00000 | + | 1.00000i | 0.114624 | + | 0.0382080i | ||||
\(686\) | 34.9545 | − | 7.63397i | 1.33457 | − | 0.291467i | ||||
\(687\) | 8.00962 | − | 4.62436i | 0.305586 | − | 0.176430i | ||||
\(688\) | 14.4282 | − | 3.86603i | 0.550070 | − | 0.147391i | ||||
\(689\) | −20.3923 | −0.776885 | ||||||||
\(690\) | 23.3205 | − | 11.6603i | 0.887797 | − | 0.443898i | ||||
\(691\) | − | 12.5359i | − | 0.476888i | −0.971156 | − | 0.238444i | \(-0.923363\pi\) | ||
0.971156 | − | 0.238444i | \(-0.0766374\pi\) | |||||||
\(692\) | −27.7128 | − | 27.7128i | −1.05348 | − | 1.05348i | ||||
\(693\) | −15.5885 | − | 3.00000i | −0.592157 | − | 0.113961i | ||||
\(694\) | 18.1244i | 0.687991i | ||||||||
\(695\) | 12.5885 | + | 25.1769i | 0.477507 | + | 0.955015i | ||||
\(696\) | −0.911543 | + | 3.40192i | −0.0345519 | + | 0.128950i | ||||
\(697\) | 16.3923 | − | 16.3923i | 0.620903 | − | 0.620903i | ||||
\(698\) | −5.00000 | − | 18.6603i | −0.189253 | − | 0.706301i | ||||
\(699\) | −15.8038 | + | 15.8038i | −0.597756 | + | 0.597756i | ||||
\(700\) | 22.3923 | − | 4.85641i | 0.846350 | − | 0.183555i | ||||
\(701\) | −27.0526 | −1.02176 | −0.510881 | − | 0.859652i | \(-0.670681\pi\) | ||||
−0.510881 | + | 0.859652i | \(0.670681\pi\) | |||||||
\(702\) | 26.4904 | + | 45.8827i | 0.999815 | + | 1.73173i | ||||
\(703\) | −0.464102 | − | 1.73205i | −0.0175039 | − | 0.0653255i | ||||
\(704\) | 9.92820 | − | 5.73205i | 0.374183 | − | 0.216035i | ||||
\(705\) | −5.89230 | − | 28.7942i | −0.221917 | − | 1.08445i | ||||
\(706\) | 29.4904 | − | 17.0263i | 1.10989 | − | 0.640792i | ||||
\(707\) | 7.46410 | + | 6.46410i | 0.280716 | + | 0.243108i | ||||
\(708\) | 22.6865 | − | 39.2942i | 0.852612 | − | 1.47677i | ||||
\(709\) | 28.6410i | 1.07564i | 0.843061 | + | 0.537818i | \(0.180751\pi\) | ||||
−0.843061 | + | 0.537818i | \(0.819249\pi\) | |||||||
\(710\) | 15.2942 | − | 13.5622i | 0.573982 | − | 0.508979i | ||||
\(711\) | −11.7846 | + | 6.80385i | −0.441957 | + | 0.255164i | ||||
\(712\) | 2.00000 | − | 7.46410i | 0.0749532 | − | 0.279729i | ||||
\(713\) | −1.32051 | − | 4.92820i | −0.0494534 | − | 0.184563i | ||||
\(714\) | 51.7128 | + | 44.7846i | 1.93530 | + | 1.67602i | ||||
\(715\) | 4.73205 | + | 23.1244i | 0.176969 | + | 0.864802i | ||||
\(716\) | −1.09808 | + | 1.90192i | −0.0410370 | + | 0.0710782i | ||||
\(717\) | −3.46410 | −0.129369 | ||||||||
\(718\) | 5.46410 | − | 20.3923i | 0.203918 | − | 0.761034i | ||||
\(719\) | −4.53590 | − | 7.85641i | −0.169160 | − | 0.292995i | 0.768964 | − | 0.639292i | \(-0.220772\pi\) |
−0.938125 | + | 0.346297i | \(0.887439\pi\) | |||||||
\(720\) | −13.3923 | − | 26.7846i | −0.499102 | − | 0.998203i | ||||
\(721\) | −19.7224 | + | 13.3564i | −0.734502 | + | 0.497419i | ||||
\(722\) | 5.76795 | + | 21.5263i | 0.214661 | + | 0.801125i | ||||
\(723\) | 38.9090 | 1.44704 | ||||||||
\(724\) | −34.8564 | −1.29543 | ||||||||
\(725\) | −15.7128 | − | 11.7846i | −0.583559 | − | 0.437669i | ||||
\(726\) | −6.06218 | + | 22.6244i | −0.224989 | + | 0.839669i | ||||
\(727\) | 15.7583 | − | 4.22243i | 0.584444 | − | 0.156601i | 0.0455314 | − | 0.998963i | \(-0.485502\pi\) |
0.538913 | + | 0.842362i | \(0.318835\pi\) | |||||||
\(728\) | −4.73205 | + | 5.46410i | −0.175381 | + | 0.202513i | ||||
\(729\) | −27.0000 | −1.00000 | ||||||||
\(730\) | 12.9282 | + | 8.53590i | 0.478494 | + | 0.315928i | ||||
\(731\) | −22.3923 | + | 12.9282i | −0.828209 | + | 0.478167i | ||||
\(732\) | −7.60770 | − | 4.39230i | −0.281189 | − | 0.162344i | ||||
\(733\) | −11.0981 | − | 41.4186i | −0.409917 | − | 1.52983i | −0.794804 | − | 0.606867i | \(-0.792426\pi\) |
0.384887 | − | 0.922964i | \(-0.374240\pi\) | |||||||
\(734\) | −5.33013 | − | 9.23205i | −0.196739 | − | 0.340761i | ||||
\(735\) | 27.0167 | − | 2.25833i | 0.996525 | − | 0.0832998i | ||||
\(736\) | −13.2224 | + | 22.9019i | −0.487385 | + | 0.844176i | ||||
\(737\) | −12.1962 | − | 3.26795i | −0.449251 | − | 0.120376i | ||||
\(738\) | 16.7942 | − | 4.50000i | 0.618204 | − | 0.165647i | ||||
\(739\) | 35.3205 | + | 20.3923i | 1.29929 | + | 0.750143i | 0.980281 | − | 0.197610i | \(-0.0633179\pi\) |
0.319005 | + | 0.947753i | \(0.396651\pi\) | |||||||
\(740\) | 0.803848 | − | 2.41154i | 0.0295500 | − | 0.0886501i | ||||
\(741\) | 6.46410 | − | 24.1244i | 0.237465 | − | 0.886230i | ||||
\(742\) | −19.3923 | − | 3.73205i | −0.711914 | − | 0.137008i | ||||
\(743\) | 4.91858 | − | 18.3564i | 0.180445 | − | 0.673431i | −0.815114 | − | 0.579300i | \(-0.803326\pi\) |
0.995560 | − | 0.0941313i | \(-0.0300073\pi\) | |||||||
\(744\) | −1.26795 | + | 0.339746i | −0.0464853 | + | 0.0124557i | ||||
\(745\) | 28.8564 | + | 19.0526i | 1.05722 | + | 0.698032i | ||||
\(746\) | −7.56218 | + | 13.0981i | −0.276871 | + | 0.479555i | ||||
\(747\) | −24.8827 | + | 24.8827i | −0.910410 | + | 0.910410i | ||||
\(748\) | −18.9282 | + | 18.9282i | −0.692084 | + | 0.692084i | ||||
\(749\) | 2.24167 | + | 31.2224i | 0.0819088 | + | 1.14084i | ||||
\(750\) | 37.2846 | − | 3.06218i | 1.36144 | − | 0.111815i | ||||
\(751\) | −24.5622 | + | 42.5429i | −0.896287 | + | 1.55241i | −0.0640824 | + | 0.997945i | \(0.520412\pi\) |
−0.832204 | + | 0.554469i | \(0.812921\pi\) | |||||||
\(752\) | 23.9545 | + | 23.9545i | 0.873530 | + | 0.873530i | ||||
\(753\) | −3.16987 | + | 5.49038i | −0.115517 | + | 0.200081i | ||||
\(754\) | −40.0526 | −1.45863 | ||||||||
\(755\) | −17.6603 | − | 35.3205i | −0.642722 | − | 1.28544i | ||||
\(756\) | 7.79423 | + | 22.5000i | 0.283473 | + | 0.818317i | ||||
\(757\) | 6.39230 | − | 6.39230i | 0.232332 | − | 0.232332i | −0.581333 | − | 0.813666i | \(-0.697469\pi\) |
0.813666 | + | 0.581333i | \(0.197469\pi\) | |||||||
\(758\) | −23.9282 | − | 23.9282i | −0.869111 | − | 0.869111i | ||||
\(759\) | 3.12436 | + | 11.6603i | 0.113407 | + | 0.423240i | ||||
\(760\) | −1.00000 | + | 3.00000i | −0.0362738 | + | 0.108821i | ||||
\(761\) | −1.03590 | − | 0.598076i | −0.0375513 | − | 0.0216802i | 0.481107 | − | 0.876662i | \(-0.340235\pi\) |
−0.518658 | + | 0.854982i | \(0.673568\pi\) | |||||||
\(762\) | −22.7942 | + | 39.4808i | −0.825748 | + | 1.43024i | ||||
\(763\) | −3.13397 | + | 16.2846i | −0.113457 | + | 0.589542i | ||||
\(764\) | 16.9808i | 0.614342i | ||||||||
\(765\) | 34.3923 | + | 38.7846i | 1.24346 | + | 1.40226i | ||||
\(766\) | −18.3564 | − | 10.5981i | −0.663244 | − | 0.382924i | ||||
\(767\) | −77.1051 | − | 20.6603i | −2.78410 | − | 0.745999i | ||||
\(768\) | 29.0885 | + | 16.7942i | 1.04964 | + | 0.606010i | ||||
\(769\) | 7.40192 | + | 12.8205i | 0.266920 | + | 0.462319i | 0.968065 | − | 0.250700i | \(-0.0806607\pi\) |
−0.701145 | + | 0.713019i | \(0.747327\pi\) | |||||||
\(770\) | 0.267949 | + | 22.8564i | 0.00965622 | + | 0.823688i | ||||
\(771\) | −0.464102 | − | 0.124356i | −0.0167142 | − | 0.00447856i | ||||
\(772\) | 0.339746 | − | 0.339746i | 0.0122277 | − | 0.0122277i | ||||
\(773\) | −11.9019 | − | 44.4186i | −0.428082 | − | 1.59763i | −0.757098 | − | 0.653301i | \(-0.773384\pi\) |
0.329016 | − | 0.944324i | \(-0.393283\pi\) | |||||||
\(774\) | −19.3923 | −0.697042 | ||||||||
\(775\) | 0.875644 | − | 7.26795i | 0.0314541 | − | 0.261072i | ||||
\(776\) | 6.75833 | + | 3.90192i | 0.242610 | + | 0.140071i | ||||
\(777\) | 1.31347 | − | 2.70577i | 0.0471203 | − | 0.0970690i | ||||
\(778\) | −4.52628 | + | 16.8923i | −0.162275 | + | 0.605618i | ||||
\(779\) | −7.09808 | − | 4.09808i | −0.254315 | − | 0.146829i | ||||
\(780\) | 26.4904 | − | 23.4904i | 0.948508 | − | 0.841091i | ||||
\(781\) | 4.73205 | + | 8.19615i | 0.169326 | + | 0.293281i | ||||
\(782\) | 13.4641 | − | 50.2487i | 0.481475 | − | 1.79689i | ||||
\(783\) | 10.2058 | − | 17.6769i | 0.364725 | − | 0.631721i | ||||
\(784\) | −24.5526 | + | 19.3301i | −0.876877 | + | 0.690362i | ||||
\(785\) | 15.0981 | + | 17.0263i | 0.538873 | + | 0.607694i | ||||
\(786\) | 16.3923 | + | 4.39230i | 0.584694 | + | 0.156668i | ||||
\(787\) | 37.8301 | + | 37.8301i | 1.34850 | + | 1.34850i | 0.887294 | + | 0.461205i | \(0.152583\pi\) |
0.461205 | + | 0.887294i | \(0.347417\pi\) | |||||||
\(788\) | −6.92820 | − | 6.92820i | −0.246807 | − | 0.246807i | ||||
\(789\) | 6.75833 | − | 6.75833i | 0.240603 | − | 0.240603i | ||||
\(790\) | 13.0000 | + | 14.6603i | 0.462519 | + | 0.521588i | ||||
\(791\) | 25.8564 | − | 1.85641i | 0.919348 | − | 0.0660062i | ||||
\(792\) | 3.00000 | − | 0.803848i | 0.106600 | − | 0.0285635i | ||||
\(793\) | −4.00000 | + | 14.9282i | −0.142044 | + | 0.530116i | ||||
\(794\) | 29.3205 | + | 50.7846i | 1.04055 | + | 1.80228i | ||||
\(795\) | −14.1962 | − | 4.73205i | −0.503486 | − | 0.167829i | ||||
\(796\) | 6.58846 | + | 3.80385i | 0.233522 | + | 0.134824i | ||||
\(797\) | 11.8827 | − | 44.3468i | 0.420906 | − | 1.57084i | −0.351797 | − | 0.936076i | \(-0.614429\pi\) |
0.772703 | − | 0.634767i | \(-0.218904\pi\) | |||||||
\(798\) | 10.5622 | − | 21.7583i | 0.373897 | − | 0.770237i | ||||
\(799\) | −50.7846 | − | 29.3205i | −1.79663 | − | 1.03729i | ||||
\(800\) | −29.8468 | + | 23.4282i | −1.05524 | + | 0.828312i | ||||
\(801\) | −22.3923 | + | 38.7846i | −0.791193 | + | 1.37039i | ||||
\(802\) | 4.69615 | + | 17.5263i | 0.165827 | + | 0.618874i | ||||
\(803\) | −5.07180 | + | 5.07180i | −0.178980 | + | 0.178980i | ||||
\(804\) | 4.90192 | + | 18.2942i | 0.172878 | + | 0.645188i | ||||
\(805\) | −10.5167 | − | 17.7321i | −0.370664 | − | 0.624973i | ||||
\(806\) | −7.46410 | − | 12.9282i | −0.262912 | − | 0.455377i | ||||
\(807\) | −42.5885 | + | 24.5885i | −1.49918 | + | 0.865555i | ||||
\(808\) | −1.86603 | − | 0.500000i | −0.0656465 | − | 0.0175899i | ||||
\(809\) | 8.38269 | + | 4.83975i | 0.294720 | + | 0.170156i | 0.640068 | − | 0.768318i | \(-0.278906\pi\) |
−0.345349 | + | 0.938474i | \(0.612239\pi\) | |||||||
\(810\) | 7.79423 | + | 38.0885i | 0.273861 | + | 1.33829i | ||||
\(811\) | − | 24.5885i | − | 0.863418i | −0.902013 | − | 0.431709i | \(-0.857911\pi\) | ||
0.902013 | − | 0.431709i | \(-0.142089\pi\) | |||||||
\(812\) | −17.6769 | − | 3.40192i | −0.620338 | − | 0.119384i | ||||
\(813\) | −56.4449 | −1.97961 | ||||||||
\(814\) | 2.19615 | + | 1.26795i | 0.0769751 | + | 0.0444416i | ||||
\(815\) | 6.80385 | − | 20.4115i | 0.238328 | − | 0.714985i | ||||
\(816\) | −57.7128 | − | 15.4641i | −2.02035 | − | 0.541352i | ||||
\(817\) | 6.46410 | + | 6.46410i | 0.226150 | + | 0.226150i | ||||
\(818\) | −30.4904 | + | 30.4904i | −1.06607 | + | 1.06607i | ||||
\(819\) | 34.6865 | − | 23.4904i | 1.21205 | − | 0.820820i | ||||
\(820\) | −5.19615 | − | 10.3923i | −0.181458 | − | 0.362915i | ||||
\(821\) | 10.4115 | 0.363365 | 0.181683 | − | 0.983357i | \(-0.441846\pi\) | ||||
0.181683 | + | 0.983357i | \(0.441846\pi\) | |||||||
\(822\) | 4.73205 | 0.165049 | ||||||||
\(823\) | 19.5622 | + | 19.5622i | 0.681895 | + | 0.681895i | 0.960427 | − | 0.278532i | \(-0.0898479\pi\) |
−0.278532 | + | 0.960427i | \(0.589848\pi\) | |||||||
\(824\) | 2.33013 | − | 4.03590i | 0.0811738 | − | 0.140597i | ||||
\(825\) | −2.07180 | + | 17.1962i | −0.0721307 | + | 0.598693i | ||||
\(826\) | −69.5429 | − | 33.7583i | −2.41971 | − | 1.17460i | ||||
\(827\) | 22.8301 | − | 22.8301i | 0.793881 | − | 0.793881i | −0.188241 | − | 0.982123i | \(-0.560279\pi\) |
0.982123 | + | 0.188241i | \(0.0602788\pi\) | |||||||
\(828\) | 12.8038 | − | 12.8038i | 0.444964 | − | 0.444964i | ||||
\(829\) | 4.83975 | − | 8.38269i | 0.168091 | − | 0.291143i | −0.769657 | − | 0.638457i | \(-0.779573\pi\) |
0.937749 | + | 0.347314i | \(0.112906\pi\) | |||||||
\(830\) | 42.2846 | + | 27.9186i | 1.46772 | + | 0.969068i | ||||
\(831\) | 14.1962 | + | 14.1962i | 0.492459 | + | 0.492459i | ||||
\(832\) | −7.83013 | + | 29.2224i | −0.271461 | + | 1.01311i | ||||
\(833\) | 32.3923 | − | 43.3205i | 1.12233 | − | 1.50097i | ||||
\(834\) | 29.7846 | + | 29.7846i | 1.03136 | + | 1.03136i | ||||
\(835\) | −2.46410 | + | 7.39230i | −0.0852738 | + | 0.255821i | ||||
\(836\) | 8.19615 | + | 4.73205i | 0.283470 | + | 0.163661i | ||||
\(837\) | 7.60770 | 0.262960 | ||||||||
\(838\) | −4.36603 | − | 1.16987i | −0.150822 | − | 0.0404126i | ||||
\(839\) | 27.6147 | − | 47.8301i | 0.953367 | − | 1.65128i | 0.215304 | − | 0.976547i | \(-0.430926\pi\) |
0.738063 | − | 0.674732i | \(-0.235741\pi\) | |||||||
\(840\) | −4.56218 | + | 2.70577i | −0.157410 | + | 0.0933580i | ||||
\(841\) | −6.78461 | − | 11.7513i | −0.233952 | − | 0.405217i | ||||
\(842\) | −2.40192 | − | 8.96410i | −0.0827758 | − | 0.308923i | ||||
\(843\) | −33.4019 | + | 19.2846i | −1.15042 | + | 0.664197i | ||||
\(844\) | −19.6077 | + | 11.3205i | −0.674925 | + | 0.389668i | ||||
\(845\) | −27.7224 | − | 18.3038i | −0.953681 | − | 0.629671i | ||||
\(846\) | −21.9904 | − | 38.0885i | −0.756045 | − | 1.30951i | ||||
\(847\) | 18.1865 | + | 3.50000i | 0.624897 | + | 0.120261i | ||||
\(848\) | 16.6603 | − | 4.46410i | 0.572115 | − | 0.153298i | ||||
\(849\) | −22.7942 | + | 6.10770i | −0.782296 | + | 0.209616i | ||||
\(850\) | 44.7846 | − | 59.7128i | 1.53610 | − | 2.04813i | ||||
\(851\) | −2.28719 | −0.0784038 | ||||||||
\(852\) | 7.09808 | − | 12.2942i | 0.243176 | − | 0.421193i | ||||
\(853\) | −0.124356 | − | 0.464102i | −0.00425786 | − | 0.0158905i | 0.963764 | − | 0.266756i | \(-0.0859516\pi\) |
−0.968022 | + | 0.250865i | \(0.919285\pi\) | |||||||
\(854\) | −6.53590 | + | 13.4641i | −0.223654 | + | 0.460732i | ||||
\(855\) | 10.0981 | − | 15.2942i | 0.345347 | − | 0.523052i | ||||
\(856\) | −3.06218 | − | 5.30385i | −0.104663 | − | 0.181282i | ||||
\(857\) | −1.80385 | + | 6.73205i | −0.0616183 | + | 0.229962i | −0.989867 | − | 0.141998i | \(-0.954647\pi\) |
0.928249 | + | 0.371960i | \(0.121314\pi\) | |||||||
\(858\) | 17.6603 | + | 30.5885i | 0.602911 | + | 1.04427i | ||||
\(859\) | 5.16987 | − | 8.95448i | 0.176394 | − | 0.305523i | −0.764249 | − | 0.644921i | \(-0.776890\pi\) |
0.940643 | + | 0.339398i | \(0.110223\pi\) | |||||||
\(860\) | 2.59808 | + | 12.6962i | 0.0885937 | + | 0.432935i | ||||
\(861\) | −4.50000 | − | 12.9904i | −0.153360 | − | 0.442711i | ||||
\(862\) | −10.2942 | − | 38.4186i | −0.350623 | − | 1.30854i | ||||
\(863\) | 10.0788 | − | 37.6147i | 0.343088 | − | 1.28042i | −0.551743 | − | 0.834014i | \(-0.686037\pi\) |
0.894830 | − | 0.446406i | \(-0.147296\pi\) | |||||||
\(864\) | −27.8827 | − | 27.8827i | −0.948588 | − | 0.948588i | ||||
\(865\) | −37.8564 | + | 33.5692i | −1.28716 | + | 1.14139i | ||||
\(866\) | 0.339746i | 0.0115450i | ||||||||
\(867\) | 73.9808 | 2.51252 | ||||||||
\(868\) | −2.19615 | − | 6.33975i | −0.0745423 | − | 0.215185i | ||||
\(869\) | −7.85641 | + | 4.53590i | −0.266510 | + | 0.153870i | ||||
\(870\) | −27.8827 | − | 9.29423i | −0.945312 | − | 0.315104i | ||||
\(871\) | 28.8564 | − | 16.6603i | 0.977762 | − | 0.564511i | ||||
\(872\) | −0.839746 | − | 3.13397i | −0.0284374 | − | 0.106130i | ||||
\(873\) | −31.9808 | − | 31.9808i | −1.08238 | − | 1.08238i | ||||
\(874\) | −18.3923 | −0.622129 | ||||||||
\(875\) | −4.52628 | − | 29.2321i | −0.153016 | − | 0.988224i | ||||
\(876\) | 10.3923 | + | 2.78461i | 0.351123 | + | 0.0940832i | ||||
\(877\) | −3.36603 | − | 12.5622i | −0.113663 | − | 0.424195i | 0.885521 | − | 0.464600i | \(-0.153802\pi\) |
−0.999183 | + | 0.0404052i | \(0.987135\pi\) | |||||||
\(878\) | −48.9808 | + | 48.9808i | −1.65302 | + | 1.65302i | ||||
\(879\) | 8.53590 | + | 8.53590i | 0.287909 | + | 0.287909i | ||||
\(880\) | −8.92820 | − | 17.8564i | −0.300970 | − | 0.601939i | ||||
\(881\) | 51.0333i | 1.71936i | 0.510836 | + | 0.859678i | \(0.329336\pi\) | ||||
−0.510836 | + | 0.859678i | \(0.670664\pi\) | |||||||
\(882\) | 37.2846 | − | 15.9904i | 1.25544 | − | 0.538424i | ||||
\(883\) | 19.4378 | + | 19.4378i | 0.654135 | + | 0.654135i | 0.953986 | − | 0.299851i | \(-0.0969370\pi\) |
−0.299851 | + | 0.953986i | \(0.596937\pi\) | |||||||
\(884\) | − | 70.6410i | − | 2.37591i | ||||||
\(885\) | −48.8827 | − | 32.2750i | −1.64317 | − | 1.08491i | ||||
\(886\) | −23.5885 | −0.792470 | ||||||||
\(887\) | −8.86603 | + | 2.37564i | −0.297692 | + | 0.0797663i | −0.404574 | − | 0.914505i | \(-0.632580\pi\) |
0.106882 | + | 0.994272i | \(0.465913\pi\) | |||||||
\(888\) | 0.588457i | 0.0197473i | ||||||||
\(889\) | 32.4282 | + | 15.7417i | 1.08761 | + | 0.527959i | ||||
\(890\) | 61.1769 | + | 20.3923i | 2.05065 | + | 0.683552i | ||||
\(891\) | −18.0000 | −0.603023 | ||||||||
\(892\) | −12.6962 | + | 3.40192i | −0.425099 | + | 0.113905i | ||||
\(893\) | −5.36603 | + | 20.0263i | −0.179567 | + | 0.670154i | ||||
\(894\) | 49.9808 | + | 13.3923i | 1.67161 | + | 0.447906i | ||||
\(895\) | 2.36603 | + | 1.56218i | 0.0790875 | + | 0.0522178i | ||||
\(896\) | 4.74167 | − | 9.76795i | 0.158408 | − | 0.326324i | ||||
\(897\) | −27.5885 | − | 15.9282i | −0.921152 | − | 0.531827i | ||||
\(898\) | −10.0263 | − | 10.0263i | −0.334581 | − | 0.334581i | ||||
\(899\) | −2.87564 | + | 4.98076i | −0.0959081 | + | 0.166118i | ||||
\(900\) | 23.8923 | − | 10.2058i | 0.796410 | − | 0.340192i | ||||
\(901\) | −25.8564 | + | 14.9282i | −0.861402 | + | 0.497331i | ||||
\(902\) | 11.1962 | − | 3.00000i | 0.372791 | − | 0.0998891i | ||||
\(903\) | 1.09808 | + | 15.2942i | 0.0365417 | + | 0.508960i | ||||
\(904\) | −4.39230 | + | 2.53590i | −0.146086 | + | 0.0843427i | ||||
\(905\) | −2.69615 | + | 44.9186i | −0.0896231 | + | 1.49314i | ||||
\(906\) | −41.7846 | − | 41.7846i | −1.38820 | − | 1.38820i | ||||
\(907\) | −12.7942 | − | 3.42820i | −0.424825 | − | 0.113832i | 0.0400707 | − | 0.999197i | \(-0.487242\pi\) |
−0.464896 | + | 0.885365i | \(0.653908\pi\) | |||||||
\(908\) | −32.1506 | − | 8.61474i | −1.06696 | − | 0.285890i | ||||
\(909\) | 9.69615 | + | 5.59808i | 0.321601 | + | 0.185676i | ||||
\(910\) | −43.1506 | − | 42.1506i | −1.43043 | − | 1.39728i | ||||
\(911\) | −0.633975 | + | 1.09808i | −0.0210045 | + | 0.0363809i | −0.876337 | − | 0.481699i | \(-0.840020\pi\) |
0.855332 | + | 0.518080i | \(0.173353\pi\) | |||||||
\(912\) | 21.1244i | 0.699497i | ||||||||
\(913\) | −16.5885 | + | 16.5885i | −0.548998 | + | 0.548998i | ||||
\(914\) | − | 62.9808i | − | 2.08322i | ||||||
\(915\) | −6.24871 | + | 9.46410i | −0.206576 | + | 0.312874i | ||||
\(916\) | −8.00962 | − | 4.62436i | −0.264645 | − | 0.152793i | ||||
\(917\) | 2.53590 | − | 13.1769i | 0.0837427 | − | 0.435140i | ||||
\(918\) | 67.1769 | + | 38.7846i | 2.21717 | + | 1.28008i | ||||
\(919\) | −16.0981 | + | 9.29423i | −0.531027 | + | 0.306588i | −0.741434 | − | 0.671025i | \(-0.765854\pi\) |
0.210408 | + | 0.977614i | \(0.432521\pi\) | |||||||
\(920\) | 3.36603 | + | 2.22243i | 0.110975 | + | 0.0732714i | ||||
\(921\) | 3.40192 | + | 12.6962i | 0.112097 | + | 0.418352i | ||||
\(922\) | 44.7487 | − | 11.9904i | 1.47372 | − | 0.394882i | ||||
\(923\) | −24.1244 | − | 6.46410i | −0.794063 | − | 0.212768i | ||||
\(924\) | 5.19615 | + | 15.0000i | 0.170941 | + | 0.493464i | ||||
\(925\) | −3.04552 | − | 1.22243i | −0.100136 | − | 0.0401933i | ||||
\(926\) | 14.3301 | + | 24.8205i | 0.470917 | + | 0.815653i | ||||
\(927\) | −19.0981 | + | 19.0981i | −0.627263 | + | 0.627263i | ||||
\(928\) | 28.7942 | − | 7.71539i | 0.945217 | − | 0.253270i | ||||
\(929\) | −31.7846 | −1.04282 | −0.521410 | − | 0.853307i | \(-0.674594\pi\) | ||||
−0.521410 | + | 0.853307i | \(0.674594\pi\) | |||||||
\(930\) | −2.19615 | − | 10.7321i | −0.0720147 | − | 0.351918i | ||||
\(931\) | −17.7583 | − | 7.09808i | −0.582006 | − | 0.232630i | ||||
\(932\) | 21.5885 | + | 5.78461i | 0.707153 | + | 0.189481i | ||||
\(933\) | 6.16987 | − | 10.6865i | 0.201993 | − | 0.349861i | ||||
\(934\) | −2.50000 | − | 4.33013i | −0.0818025 | − | 0.141686i | ||||
\(935\) | 22.9282 | + | 25.8564i | 0.749832 | + | 0.845595i | ||||
\(936\) | −4.09808 | + | 7.09808i | −0.133950 | + | 0.232008i | ||||
\(937\) | −5.53590 | − | 5.53590i | −0.180850 | − | 0.180850i | 0.610876 | − | 0.791726i | \(-0.290817\pi\) |
−0.791726 | + | 0.610876i | \(0.790817\pi\) | |||||||
\(938\) | 30.4904 | − | 10.5622i | 0.995546 | − | 0.344867i | ||||
\(939\) | −3.80385 | + | 1.01924i | −0.124134 | + | 0.0332616i | ||||
\(940\) | −21.9904 | + | 19.5000i | −0.717247 | + | 0.636020i | ||||
\(941\) | − | 7.05256i | − | 0.229907i | −0.993371 | − | 0.114953i | \(-0.963328\pi\) | ||
0.993371 | − | 0.114953i | \(-0.0366719\pi\) | |||||||
\(942\) | 29.4904 | + | 17.0263i | 0.960849 | + | 0.554746i | ||||
\(943\) | −7.39230 | + | 7.39230i | −0.240727 | + | 0.240727i | ||||
\(944\) | 67.5167 | 2.19748 | ||||||||
\(945\) | 29.5981 | − | 8.30385i | 0.962825 | − | 0.270124i | ||||
\(946\) | −12.9282 | −0.420332 | ||||||||
\(947\) | 5.00000 | − | 5.00000i | 0.162478 | − | 0.162478i | −0.621185 | − | 0.783664i | \(-0.713349\pi\) |
0.783664 | + | 0.621185i | \(0.213349\pi\) | |||||||
\(948\) | 11.7846 | + | 6.80385i | 0.382746 | + | 0.220979i | ||||
\(949\) | − | 18.9282i | − | 0.614435i | ||||||
\(950\) | −24.4904 | − | 9.83013i | −0.794573 | − | 0.318931i | ||||
\(951\) | 20.0263 | − | 5.36603i | 0.649397 | − | 0.174005i | ||||
\(952\) | −2.00000 | + | 10.3923i | −0.0648204 | + | 0.336817i | ||||
\(953\) | 22.0526 | + | 22.0526i | 0.714352 | + | 0.714352i | 0.967443 | − | 0.253090i | \(-0.0814470\pi\) |
−0.253090 | + | 0.967443i | \(0.581447\pi\) | |||||||
\(954\) | −22.3923 | −0.724978 | ||||||||
\(955\) | 21.8827 | + | 1.31347i | 0.708107 | + | 0.0425028i | ||||
\(956\) | 1.73205 | + | 3.00000i | 0.0560185 | + | 0.0970269i | ||||
\(957\) | 6.80385 | − | 11.7846i | 0.219937 | − | 0.380942i | ||||
\(958\) | 32.2224 | + | 8.63397i | 1.04106 | + | 0.278951i | ||||
\(959\) | −0.267949 | − | 3.73205i | −0.00865253 | − | 0.120514i | ||||
\(960\) | −12.2321 | + | 18.5263i | −0.394788 | + | 0.597933i | ||||
\(961\) | 28.8564 | 0.930852 | ||||||||
\(962\) | −6.46410 | + | 1.73205i | −0.208411 | + | 0.0558436i | ||||
\(963\) | 9.18653 | + | 34.2846i | 0.296032 | + | 1.10481i | ||||
\(964\) | −19.4545 | − | 33.6962i | −0.626587 | − | 1.08528i | ||||
\(965\) | −0.411543 | − | 0.464102i | −0.0132480 | − | 0.0149400i | ||||
\(966\) | −23.3205 | − | 20.1962i | −0.750325 | − | 0.649801i | ||||
\(967\) | −51.0788 | − | 13.6865i | −1.64258 | − | 0.440129i | −0.685061 | − | 0.728485i | \(-0.740225\pi\) |
−0.957523 | + | 0.288356i | \(0.906891\pi\) | |||||||
\(968\) | −3.50000 | + | 0.937822i | −0.112494 | + | 0.0301427i | ||||
\(969\) | −9.46410 | − | 35.3205i | −0.304031 | − | 1.13466i | ||||
\(970\) | −35.8827 | + | 54.3468i | −1.15212 | + | 1.74497i | ||||
\(971\) | −13.2224 | + | 7.63397i | −0.424328 | + | 0.244986i | −0.696927 | − | 0.717142i | \(-0.745450\pi\) |
0.272599 | + | 0.962128i | \(0.412117\pi\) | |||||||
\(972\) | 13.5000 | + | 23.3827i | 0.433013 | + | 0.750000i | ||||
\(973\) | 21.8038 | − | 25.1769i | 0.698999 | − | 0.807135i | ||||
\(974\) | −51.5429 | − | 29.7583i | −1.65154 | − | 0.953518i | ||||
\(975\) | −28.2224 | − | 35.9545i | −0.903841 | − | 1.15146i | ||||
\(976\) | − | 13.0718i | − | 0.418418i | ||||||
\(977\) | −28.1962 | + | 28.1962i | −0.902075 | + | 0.902075i | −0.995615 | − | 0.0935406i | \(-0.970182\pi\) |
0.0935406 | + | 0.995615i | \(0.470182\pi\) | |||||||
\(978\) | − | 32.1962i | − | 1.02952i | ||||||
\(979\) | −14.9282 | + | 25.8564i | −0.477107 | + | 0.826374i | ||||
\(980\) | −15.4641 | − | 22.2679i | −0.493983 | − | 0.711324i | ||||
\(981\) | 18.8038i | 0.600361i | ||||||||
\(982\) | −30.9545 | − | 8.29423i | −0.987797 | − | 0.264679i | ||||
\(983\) | 28.6506 | + | 7.67691i | 0.913813 | + | 0.244856i | 0.684939 | − | 0.728600i | \(-0.259829\pi\) |
0.228874 | + | 0.973456i | \(0.426496\pi\) | |||||||
\(984\) | 1.90192 | + | 1.90192i | 0.0606311 | + | 0.0606311i | ||||
\(985\) | −9.46410 | + | 8.39230i | −0.301551 | + | 0.267401i | ||||
\(986\) | −50.7846 | + | 29.3205i | −1.61731 | + | 0.933755i | ||||
\(987\) | −28.7942 | + | 19.5000i | −0.916530 | + | 0.620692i | ||||
\(988\) | −24.1244 | + | 6.46410i | −0.767498 | + | 0.205650i | ||||
\(989\) | 10.0981 | − | 5.83013i | 0.321100 | − | 0.185387i | ||||
\(990\) | 5.19615 | + | 25.3923i | 0.165145 | + | 0.807020i | ||||
\(991\) | 4.00000 | − | 6.92820i | 0.127064 | − | 0.220082i | −0.795474 | − | 0.605988i | \(-0.792778\pi\) |
0.922538 | + | 0.385906i | \(0.126111\pi\) | |||||||
\(992\) | 7.85641 | + | 7.85641i | 0.249441 | + | 0.249441i | ||||
\(993\) | −9.00000 | − | 5.19615i | −0.285606 | − | 0.164895i | ||||
\(994\) | −21.7583 | − | 10.5622i | −0.690132 | − | 0.335012i | ||||
\(995\) | 5.41154 | − | 8.19615i | 0.171557 | − | 0.259835i | ||||
\(996\) | 33.9904 | + | 9.10770i | 1.07703 | + | 0.288588i | ||||
\(997\) | −12.8827 | + | 48.0788i | −0.407999 | + | 1.52267i | 0.390458 | + | 0.920621i | \(0.372317\pi\) |
−0.798457 | + | 0.602052i | \(0.794350\pi\) | |||||||
\(998\) | −32.8564 | + | 8.80385i | −1.04005 | + | 0.278681i | ||||
\(999\) | 0.882686 | − | 3.29423i | 0.0279269 | − | 0.104225i |
(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 | 315.2.bs.d.178.1 | yes | 4 | |
3.2 | odd | 2 | 945.2.bv.c.73.1 | 4 | |||
5.2 | odd | 4 | 315.2.bs.a.52.1 | ✓ | 4 | ||
7.5 | odd | 6 | 315.2.cg.d.313.1 | yes | 4 | ||
9.4 | even | 3 | 315.2.cg.b.283.1 | yes | 4 | ||
9.5 | odd | 6 | 945.2.cj.c.388.1 | 4 | |||
15.2 | even | 4 | 945.2.bv.b.262.1 | 4 | |||
21.5 | even | 6 | 945.2.cj.b.208.1 | 4 | |||
35.12 | even | 12 | 315.2.cg.b.187.1 | yes | 4 | ||
45.22 | odd | 12 | 315.2.cg.d.157.1 | yes | 4 | ||
45.32 | even | 12 | 945.2.cj.b.577.1 | 4 | |||
63.5 | even | 6 | 945.2.bv.b.523.1 | 4 | |||
63.40 | odd | 6 | 315.2.bs.a.103.1 | yes | 4 | ||
105.47 | odd | 12 | 945.2.cj.c.397.1 | 4 | |||
315.257 | odd | 12 | 945.2.bv.c.712.1 | 4 | |||
315.292 | even | 12 | inner | 315.2.bs.d.292.1 | yes | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.a.52.1 | ✓ | 4 | 5.2 | odd | 4 | ||
315.2.bs.a.103.1 | yes | 4 | 63.40 | odd | 6 | ||
315.2.bs.d.178.1 | yes | 4 | 1.1 | even | 1 | trivial | |
315.2.bs.d.292.1 | yes | 4 | 315.292 | even | 12 | inner | |
315.2.cg.b.187.1 | yes | 4 | 35.12 | even | 12 | ||
315.2.cg.b.283.1 | yes | 4 | 9.4 | even | 3 | ||
315.2.cg.d.157.1 | yes | 4 | 45.22 | odd | 12 | ||
315.2.cg.d.313.1 | yes | 4 | 7.5 | odd | 6 | ||
945.2.bv.b.262.1 | 4 | 15.2 | even | 4 | |||
945.2.bv.b.523.1 | 4 | 63.5 | even | 6 | |||
945.2.bv.c.73.1 | 4 | 3.2 | odd | 2 | |||
945.2.bv.c.712.1 | 4 | 315.257 | odd | 12 | |||
945.2.cj.b.208.1 | 4 | 21.5 | even | 6 | |||
945.2.cj.b.577.1 | 4 | 45.32 | even | 12 | |||
945.2.cj.c.388.1 | 4 | 9.5 | odd | 6 | |||
945.2.cj.c.397.1 | 4 | 105.47 | odd | 12 |