Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(103,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.bj (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.01223013094\) |
Analytic rank: | \(1\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
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: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 103.1 | ||
Root | \(0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 252.103 |
Dual form | 252.2.bj.a.115.2 |
$q$-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 \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | − | 1.00000i | −0.707107 | − | 0.707107i | ||||
\(3\) | −0.866025 | + | 1.50000i | −0.500000 | + | 0.866025i | ||||
\(4\) | 2.00000i | 1.00000i | ||||||||
\(5\) | −3.00000 | + | 1.73205i | −1.34164 | + | 0.774597i | −0.987048 | − | 0.160424i | \(-0.948714\pi\) |
−0.354593 | + | 0.935021i | \(0.615380\pi\) | |||||||
\(6\) | 2.36603 | − | 0.633975i | 0.965926 | − | 0.258819i | ||||
\(7\) | 2.59808 | − | 0.500000i | 0.981981 | − | 0.188982i | ||||
\(8\) | 2.00000 | − | 2.00000i | 0.707107 | − | 0.707107i | ||||
\(9\) | −1.50000 | − | 2.59808i | −0.500000 | − | 0.866025i | ||||
\(10\) | 4.73205 | + | 1.26795i | 1.49641 | + | 0.400961i | ||||
\(11\) | −1.73205 | − | 1.00000i | −0.522233 | − | 0.301511i | 0.215615 | − | 0.976478i | \(-0.430824\pi\) |
−0.737848 | + | 0.674967i | \(0.764158\pi\) | |||||||
\(12\) | −3.00000 | − | 1.73205i | −0.866025 | − | 0.500000i | ||||
\(13\) | −4.50000 | − | 2.59808i | −1.24808 | − | 0.720577i | −0.277350 | − | 0.960769i | \(-0.589456\pi\) |
−0.970725 | + | 0.240192i | \(0.922790\pi\) | |||||||
\(14\) | −3.09808 | − | 2.09808i | −0.827996 | − | 0.560734i | ||||
\(15\) | − | 6.00000i | − | 1.54919i | ||||||
\(16\) | −4.00000 | −1.00000 | ||||||||
\(17\) | −4.50000 | + | 2.59808i | −1.09141 | + | 0.630126i | −0.933952 | − | 0.357400i | \(-0.883663\pi\) |
−0.157459 | + | 0.987526i | \(0.550330\pi\) | |||||||
\(18\) | −1.09808 | + | 4.09808i | −0.258819 | + | 0.965926i | ||||
\(19\) | 0.866025 | − | 1.50000i | 0.198680 | − | 0.344124i | −0.749421 | − | 0.662094i | \(-0.769668\pi\) |
0.948101 | + | 0.317970i | \(0.103001\pi\) | |||||||
\(20\) | −3.46410 | − | 6.00000i | −0.774597 | − | 1.34164i | ||||
\(21\) | −1.50000 | + | 4.33013i | −0.327327 | + | 0.944911i | ||||
\(22\) | 0.732051 | + | 2.73205i | 0.156074 | + | 0.582475i | ||||
\(23\) | 3.46410 | − | 2.00000i | 0.722315 | − | 0.417029i | −0.0932891 | − | 0.995639i | \(-0.529738\pi\) |
0.815604 | + | 0.578610i | \(0.196405\pi\) | |||||||
\(24\) | 1.26795 | + | 4.73205i | 0.258819 | + | 0.965926i | ||||
\(25\) | 3.50000 | − | 6.06218i | 0.700000 | − | 1.21244i | ||||
\(26\) | 1.90192 | + | 7.09808i | 0.372998 | + | 1.39205i | ||||
\(27\) | 5.19615 | 1.00000 | ||||||||
\(28\) | 1.00000 | + | 5.19615i | 0.188982 | + | 0.981981i | ||||
\(29\) | −2.50000 | − | 4.33013i | −0.464238 | − | 0.804084i | 0.534928 | − | 0.844897i | \(-0.320339\pi\) |
−0.999167 | + | 0.0408130i | \(0.987005\pi\) | |||||||
\(30\) | −6.00000 | + | 6.00000i | −1.09545 | + | 1.09545i | ||||
\(31\) | −5.19615 | −0.933257 | −0.466628 | − | 0.884454i | \(-0.654531\pi\) | ||||
−0.466628 | + | 0.884454i | \(0.654531\pi\) | |||||||
\(32\) | 4.00000 | + | 4.00000i | 0.707107 | + | 0.707107i | ||||
\(33\) | 3.00000 | − | 1.73205i | 0.522233 | − | 0.301511i | ||||
\(34\) | 7.09808 | + | 1.90192i | 1.21731 | + | 0.326177i | ||||
\(35\) | −6.92820 | + | 6.00000i | −1.17108 | + | 1.01419i | ||||
\(36\) | 5.19615 | − | 3.00000i | 0.866025 | − | 0.500000i | ||||
\(37\) | −1.50000 | + | 2.59808i | −0.246598 | + | 0.427121i | −0.962580 | − | 0.270998i | \(-0.912646\pi\) |
0.715981 | + | 0.698119i | \(0.245980\pi\) | |||||||
\(38\) | −2.36603 | + | 0.633975i | −0.383820 | + | 0.102844i | ||||
\(39\) | 7.79423 | − | 4.50000i | 1.24808 | − | 0.720577i | ||||
\(40\) | −2.53590 | + | 9.46410i | −0.400961 | + | 1.49641i | ||||
\(41\) | −1.50000 | − | 0.866025i | −0.234261 | − | 0.135250i | 0.378275 | − | 0.925693i | \(-0.376517\pi\) |
−0.612536 | + | 0.790443i | \(0.709851\pi\) | |||||||
\(42\) | 5.83013 | − | 2.83013i | 0.899608 | − | 0.436698i | ||||
\(43\) | −9.52628 | + | 5.50000i | −1.45274 | + | 0.838742i | −0.998636 | − | 0.0522047i | \(-0.983375\pi\) |
−0.454108 | + | 0.890947i | \(0.650042\pi\) | |||||||
\(44\) | 2.00000 | − | 3.46410i | 0.301511 | − | 0.522233i | ||||
\(45\) | 9.00000 | + | 5.19615i | 1.34164 | + | 0.774597i | ||||
\(46\) | −5.46410 | − | 1.46410i | −0.805638 | − | 0.215870i | ||||
\(47\) | −1.73205 | −0.252646 | −0.126323 | − | 0.991989i | \(-0.540318\pi\) | ||||
−0.126323 | + | 0.991989i | \(0.540318\pi\) | |||||||
\(48\) | 3.46410 | − | 6.00000i | 0.500000 | − | 0.866025i | ||||
\(49\) | 6.50000 | − | 2.59808i | 0.928571 | − | 0.371154i | ||||
\(50\) | −9.56218 | + | 2.56218i | −1.35230 | + | 0.362347i | ||||
\(51\) | − | 9.00000i | − | 1.26025i | ||||||
\(52\) | 5.19615 | − | 9.00000i | 0.720577 | − | 1.24808i | ||||
\(53\) | −0.500000 | − | 0.866025i | −0.0686803 | − | 0.118958i | 0.829640 | − | 0.558298i | \(-0.188546\pi\) |
−0.898321 | + | 0.439340i | \(0.855212\pi\) | |||||||
\(54\) | −5.19615 | − | 5.19615i | −0.707107 | − | 0.707107i | ||||
\(55\) | 6.92820 | 0.934199 | ||||||||
\(56\) | 4.19615 | − | 6.19615i | 0.560734 | − | 0.827996i | ||||
\(57\) | 1.50000 | + | 2.59808i | 0.198680 | + | 0.344124i | ||||
\(58\) | −1.83013 | + | 6.83013i | −0.240307 | + | 0.896840i | ||||
\(59\) | 1.73205 | 0.225494 | 0.112747 | − | 0.993624i | \(-0.464035\pi\) | ||||
0.112747 | + | 0.993624i | \(0.464035\pi\) | |||||||
\(60\) | 12.0000 | 1.54919 | ||||||||
\(61\) | 5.19615i | 0.665299i | 0.943051 | + | 0.332650i | \(0.107943\pi\) | ||||
−0.943051 | + | 0.332650i | \(0.892057\pi\) | |||||||
\(62\) | 5.19615 | + | 5.19615i | 0.659912 | + | 0.659912i | ||||
\(63\) | −5.19615 | − | 6.00000i | −0.654654 | − | 0.755929i | ||||
\(64\) | − | 8.00000i | − | 1.00000i | ||||||
\(65\) | 18.0000 | 2.23263 | ||||||||
\(66\) | −4.73205 | − | 1.26795i | −0.582475 | − | 0.156074i | ||||
\(67\) | 9.00000i | 1.09952i | 0.835321 | + | 0.549762i | \(0.185282\pi\) | ||||
−0.835321 | + | 0.549762i | \(0.814718\pi\) | |||||||
\(68\) | −5.19615 | − | 9.00000i | −0.630126 | − | 1.09141i | ||||
\(69\) | 6.92820i | 0.834058i | ||||||||
\(70\) | 12.9282 | + | 0.928203i | 1.54522 | + | 0.110942i | ||||
\(71\) | − | 2.00000i | − | 0.237356i | −0.992933 | − | 0.118678i | \(-0.962134\pi\) | ||
0.992933 | − | 0.118678i | \(-0.0378657\pi\) | |||||||
\(72\) | −8.19615 | − | 2.19615i | −0.965926 | − | 0.258819i | ||||
\(73\) | −10.5000 | + | 6.06218i | −1.22893 | + | 0.709524i | −0.966807 | − | 0.255510i | \(-0.917757\pi\) |
−0.262126 | + | 0.965034i | \(0.584423\pi\) | |||||||
\(74\) | 4.09808 | − | 1.09808i | 0.476392 | − | 0.127649i | ||||
\(75\) | 6.06218 | + | 10.5000i | 0.700000 | + | 1.21244i | ||||
\(76\) | 3.00000 | + | 1.73205i | 0.344124 | + | 0.198680i | ||||
\(77\) | −5.00000 | − | 1.73205i | −0.569803 | − | 0.197386i | ||||
\(78\) | −12.2942 | − | 3.29423i | −1.39205 | − | 0.372998i | ||||
\(79\) | − | 3.00000i | − | 0.337526i | −0.985657 | − | 0.168763i | \(-0.946023\pi\) | ||
0.985657 | − | 0.168763i | \(-0.0539773\pi\) | |||||||
\(80\) | 12.0000 | − | 6.92820i | 1.34164 | − | 0.774597i | ||||
\(81\) | −4.50000 | + | 7.79423i | −0.500000 | + | 0.866025i | ||||
\(82\) | 0.633975 | + | 2.36603i | 0.0700108 | + | 0.261284i | ||||
\(83\) | 2.59808 | + | 4.50000i | 0.285176 | + | 0.493939i | 0.972652 | − | 0.232268i | \(-0.0746146\pi\) |
−0.687476 | + | 0.726207i | \(0.741281\pi\) | |||||||
\(84\) | −8.66025 | − | 3.00000i | −0.944911 | − | 0.327327i | ||||
\(85\) | 9.00000 | − | 15.5885i | 0.976187 | − | 1.69081i | ||||
\(86\) | 15.0263 | + | 4.02628i | 1.62033 | + | 0.434165i | ||||
\(87\) | 8.66025 | 0.928477 | ||||||||
\(88\) | −5.46410 | + | 1.46410i | −0.582475 | + | 0.156074i | ||||
\(89\) | 7.50000 | + | 4.33013i | 0.794998 | + | 0.458993i | 0.841719 | − | 0.539915i | \(-0.181544\pi\) |
−0.0467209 | + | 0.998908i | \(0.514877\pi\) | |||||||
\(90\) | −3.80385 | − | 14.1962i | −0.400961 | − | 1.49641i | ||||
\(91\) | −12.9904 | − | 4.50000i | −1.36176 | − | 0.471728i | ||||
\(92\) | 4.00000 | + | 6.92820i | 0.417029 | + | 0.722315i | ||||
\(93\) | 4.50000 | − | 7.79423i | 0.466628 | − | 0.808224i | ||||
\(94\) | 1.73205 | + | 1.73205i | 0.178647 | + | 0.178647i | ||||
\(95\) | 6.00000i | 0.615587i | ||||||||
\(96\) | −9.46410 | + | 2.53590i | −0.965926 | + | 0.258819i | ||||
\(97\) | −1.50000 | + | 0.866025i | −0.152302 | + | 0.0879316i | −0.574214 | − | 0.818705i | \(-0.694692\pi\) |
0.421912 | + | 0.906637i | \(0.361359\pi\) | |||||||
\(98\) | −9.09808 | − | 3.90192i | −0.919044 | − | 0.394154i | ||||
\(99\) | 6.00000i | 0.603023i | ||||||||
\(100\) | 12.1244 | + | 7.00000i | 1.21244 | + | 0.700000i | ||||
\(101\) | −15.0000 | − | 8.66025i | −1.49256 | − | 0.861727i | −0.492592 | − | 0.870260i | \(-0.663951\pi\) |
−0.999964 | + | 0.00853278i | \(0.997284\pi\) | |||||||
\(102\) | −9.00000 | + | 9.00000i | −0.891133 | + | 0.891133i | ||||
\(103\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(104\) | −14.1962 | + | 3.80385i | −1.39205 | + | 0.372998i | ||||
\(105\) | −3.00000 | − | 15.5885i | −0.292770 | − | 1.52128i | ||||
\(106\) | −0.366025 | + | 1.36603i | −0.0355515 | + | 0.132680i | ||||
\(107\) | 6.06218 | + | 3.50000i | 0.586053 | + | 0.338358i | 0.763535 | − | 0.645766i | \(-0.223462\pi\) |
−0.177482 | + | 0.984124i | \(0.556795\pi\) | |||||||
\(108\) | 10.3923i | 1.00000i | ||||||||
\(109\) | −1.50000 | − | 2.59808i | −0.143674 | − | 0.248851i | 0.785203 | − | 0.619238i | \(-0.212558\pi\) |
−0.928877 | + | 0.370387i | \(0.879225\pi\) | |||||||
\(110\) | −6.92820 | − | 6.92820i | −0.660578 | − | 0.660578i | ||||
\(111\) | −2.59808 | − | 4.50000i | −0.246598 | − | 0.427121i | ||||
\(112\) | −10.3923 | + | 2.00000i | −0.981981 | + | 0.188982i | ||||
\(113\) | −9.50000 | + | 16.4545i | −0.893685 | + | 1.54791i | −0.0582609 | + | 0.998301i | \(0.518556\pi\) |
−0.835424 | + | 0.549606i | \(0.814778\pi\) | |||||||
\(114\) | 1.09808 | − | 4.09808i | 0.102844 | − | 0.383820i | ||||
\(115\) | −6.92820 | + | 12.0000i | −0.646058 | + | 1.11901i | ||||
\(116\) | 8.66025 | − | 5.00000i | 0.804084 | − | 0.464238i | ||||
\(117\) | 15.5885i | 1.44115i | ||||||||
\(118\) | −1.73205 | − | 1.73205i | −0.159448 | − | 0.159448i | ||||
\(119\) | −10.3923 | + | 9.00000i | −0.952661 | + | 0.825029i | ||||
\(120\) | −12.0000 | − | 12.0000i | −1.09545 | − | 1.09545i | ||||
\(121\) | −3.50000 | − | 6.06218i | −0.318182 | − | 0.551107i | ||||
\(122\) | 5.19615 | − | 5.19615i | 0.470438 | − | 0.470438i | ||||
\(123\) | 2.59808 | − | 1.50000i | 0.234261 | − | 0.135250i | ||||
\(124\) | − | 10.3923i | − | 0.933257i | ||||||
\(125\) | 6.92820i | 0.619677i | ||||||||
\(126\) | −0.803848 | + | 11.1962i | −0.0716124 | + | 0.997433i | ||||
\(127\) | − | 6.00000i | − | 0.532414i | −0.963916 | − | 0.266207i | \(-0.914230\pi\) | ||
0.963916 | − | 0.266207i | \(-0.0857705\pi\) | |||||||
\(128\) | −8.00000 | + | 8.00000i | −0.707107 | + | 0.707107i | ||||
\(129\) | − | 19.0526i | − | 1.67748i | ||||||
\(130\) | −18.0000 | − | 18.0000i | −1.57870 | − | 1.57870i | ||||
\(131\) | 6.92820 | + | 12.0000i | 0.605320 | + | 1.04844i | 0.992001 | + | 0.126231i | \(0.0402882\pi\) |
−0.386681 | + | 0.922214i | \(0.626379\pi\) | |||||||
\(132\) | 3.46410 | + | 6.00000i | 0.301511 | + | 0.522233i | ||||
\(133\) | 1.50000 | − | 4.33013i | 0.130066 | − | 0.375470i | ||||
\(134\) | 9.00000 | − | 9.00000i | 0.777482 | − | 0.777482i | ||||
\(135\) | −15.5885 | + | 9.00000i | −1.34164 | + | 0.774597i | ||||
\(136\) | −3.80385 | + | 14.1962i | −0.326177 | + | 1.21731i | ||||
\(137\) | −4.00000 | + | 6.92820i | −0.341743 | + | 0.591916i | −0.984757 | − | 0.173939i | \(-0.944351\pi\) |
0.643013 | + | 0.765855i | \(0.277684\pi\) | |||||||
\(138\) | 6.92820 | − | 6.92820i | 0.589768 | − | 0.589768i | ||||
\(139\) | 11.2583 | − | 19.5000i | 0.954919 | − | 1.65397i | 0.220366 | − | 0.975417i | \(-0.429275\pi\) |
0.734553 | − | 0.678551i | \(-0.237392\pi\) | |||||||
\(140\) | −12.0000 | − | 13.8564i | −1.01419 | − | 1.17108i | ||||
\(141\) | 1.50000 | − | 2.59808i | 0.126323 | − | 0.218797i | ||||
\(142\) | −2.00000 | + | 2.00000i | −0.167836 | + | 0.167836i | ||||
\(143\) | 5.19615 | + | 9.00000i | 0.434524 | + | 0.752618i | ||||
\(144\) | 6.00000 | + | 10.3923i | 0.500000 | + | 0.866025i | ||||
\(145\) | 15.0000 | + | 8.66025i | 1.24568 | + | 0.719195i | ||||
\(146\) | 16.5622 | + | 4.43782i | 1.37070 | + | 0.367277i | ||||
\(147\) | −1.73205 | + | 12.0000i | −0.142857 | + | 0.989743i | ||||
\(148\) | −5.19615 | − | 3.00000i | −0.427121 | − | 0.246598i | ||||
\(149\) | 2.00000 | + | 3.46410i | 0.163846 | + | 0.283790i | 0.936245 | − | 0.351348i | \(-0.114277\pi\) |
−0.772399 | + | 0.635138i | \(0.780943\pi\) | |||||||
\(150\) | 4.43782 | − | 16.5622i | 0.362347 | − | 1.35230i | ||||
\(151\) | −12.1244 | − | 7.00000i | −0.986666 | − | 0.569652i | −0.0823900 | − | 0.996600i | \(-0.526255\pi\) |
−0.904276 | + | 0.426948i | \(0.859589\pi\) | |||||||
\(152\) | −1.26795 | − | 4.73205i | −0.102844 | − | 0.383820i | ||||
\(153\) | 13.5000 | + | 7.79423i | 1.09141 | + | 0.630126i | ||||
\(154\) | 3.26795 | + | 6.73205i | 0.263339 | + | 0.542484i | ||||
\(155\) | 15.5885 | − | 9.00000i | 1.25210 | − | 0.722897i | ||||
\(156\) | 9.00000 | + | 15.5885i | 0.720577 | + | 1.24808i | ||||
\(157\) | 12.1244i | 0.967629i | 0.875171 | + | 0.483814i | \(0.160749\pi\) | ||||
−0.875171 | + | 0.483814i | \(0.839251\pi\) | |||||||
\(158\) | −3.00000 | + | 3.00000i | −0.238667 | + | 0.238667i | ||||
\(159\) | 1.73205 | 0.137361 | ||||||||
\(160\) | −18.9282 | − | 5.07180i | −1.49641 | − | 0.400961i | ||||
\(161\) | 8.00000 | − | 6.92820i | 0.630488 | − | 0.546019i | ||||
\(162\) | 12.2942 | − | 3.29423i | 0.965926 | − | 0.258819i | ||||
\(163\) | −7.79423 | − | 4.50000i | −0.610491 | − | 0.352467i | 0.162667 | − | 0.986681i | \(-0.447991\pi\) |
−0.773158 | + | 0.634214i | \(0.781324\pi\) | |||||||
\(164\) | 1.73205 | − | 3.00000i | 0.135250 | − | 0.234261i | ||||
\(165\) | −6.00000 | + | 10.3923i | −0.467099 | + | 0.809040i | ||||
\(166\) | 1.90192 | − | 7.09808i | 0.147618 | − | 0.550918i | ||||
\(167\) | 2.59808 | − | 4.50000i | 0.201045 | − | 0.348220i | −0.747820 | − | 0.663901i | \(-0.768900\pi\) |
0.948865 | + | 0.315681i | \(0.102233\pi\) | |||||||
\(168\) | 5.66025 | + | 11.6603i | 0.436698 | + | 0.899608i | ||||
\(169\) | 7.00000 | + | 12.1244i | 0.538462 | + | 0.932643i | ||||
\(170\) | −24.5885 | + | 6.58846i | −1.88585 | + | 0.505312i | ||||
\(171\) | −5.19615 | −0.397360 | ||||||||
\(172\) | −11.0000 | − | 19.0526i | −0.838742 | − | 1.45274i | ||||
\(173\) | − | 19.0526i | − | 1.44854i | −0.689517 | − | 0.724270i | \(-0.742177\pi\) | ||
0.689517 | − | 0.724270i | \(-0.257823\pi\) | |||||||
\(174\) | −8.66025 | − | 8.66025i | −0.656532 | − | 0.656532i | ||||
\(175\) | 6.06218 | − | 17.5000i | 0.458258 | − | 1.32288i | ||||
\(176\) | 6.92820 | + | 4.00000i | 0.522233 | + | 0.301511i | ||||
\(177\) | −1.50000 | + | 2.59808i | −0.112747 | + | 0.195283i | ||||
\(178\) | −3.16987 | − | 11.8301i | −0.237592 | − | 0.886706i | ||||
\(179\) | −4.33013 | + | 2.50000i | −0.323649 | + | 0.186859i | −0.653018 | − | 0.757343i | \(-0.726497\pi\) |
0.329369 | + | 0.944201i | \(0.393164\pi\) | |||||||
\(180\) | −10.3923 | + | 18.0000i | −0.774597 | + | 1.34164i | ||||
\(181\) | − | 17.3205i | − | 1.28742i | −0.765268 | − | 0.643712i | \(-0.777394\pi\) | ||
0.765268 | − | 0.643712i | \(-0.222606\pi\) | |||||||
\(182\) | 8.49038 | + | 17.4904i | 0.629349 | + | 1.29647i | ||||
\(183\) | −7.79423 | − | 4.50000i | −0.576166 | − | 0.332650i | ||||
\(184\) | 2.92820 | − | 10.9282i | 0.215870 | − | 0.805638i | ||||
\(185\) | − | 10.3923i | − | 0.764057i | ||||||
\(186\) | −12.2942 | + | 3.29423i | −0.901457 | + | 0.241545i | ||||
\(187\) | 10.3923 | 0.759961 | ||||||||
\(188\) | − | 3.46410i | − | 0.252646i | ||||||
\(189\) | 13.5000 | − | 2.59808i | 0.981981 | − | 0.188982i | ||||
\(190\) | 6.00000 | − | 6.00000i | 0.435286 | − | 0.435286i | ||||
\(191\) | − | 7.00000i | − | 0.506502i | −0.967401 | − | 0.253251i | \(-0.918500\pi\) | ||
0.967401 | − | 0.253251i | \(-0.0814999\pi\) | |||||||
\(192\) | 12.0000 | + | 6.92820i | 0.866025 | + | 0.500000i | ||||
\(193\) | −9.00000 | −0.647834 | −0.323917 | − | 0.946085i | \(-0.605000\pi\) | ||||
−0.323917 | + | 0.946085i | \(0.605000\pi\) | |||||||
\(194\) | 2.36603 | + | 0.633975i | 0.169871 | + | 0.0455167i | ||||
\(195\) | −15.5885 | + | 27.0000i | −1.11631 | + | 1.93351i | ||||
\(196\) | 5.19615 | + | 13.0000i | 0.371154 | + | 0.928571i | ||||
\(197\) | −10.0000 | −0.712470 | −0.356235 | − | 0.934396i | \(-0.615940\pi\) | ||||
−0.356235 | + | 0.934396i | \(0.615940\pi\) | |||||||
\(198\) | 6.00000 | − | 6.00000i | 0.426401 | − | 0.426401i | ||||
\(199\) | 0.866025 | + | 1.50000i | 0.0613909 | + | 0.106332i | 0.895087 | − | 0.445891i | \(-0.147113\pi\) |
−0.833696 | + | 0.552223i | \(0.813780\pi\) | |||||||
\(200\) | −5.12436 | − | 19.1244i | −0.362347 | − | 1.35230i | ||||
\(201\) | −13.5000 | − | 7.79423i | −0.952217 | − | 0.549762i | ||||
\(202\) | 6.33975 | + | 23.6603i | 0.446063 | + | 1.66473i | ||||
\(203\) | −8.66025 | − | 10.0000i | −0.607831 | − | 0.701862i | ||||
\(204\) | 18.0000 | 1.26025 | ||||||||
\(205\) | 6.00000 | 0.419058 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −10.3923 | − | 6.00000i | −0.722315 | − | 0.417029i | ||||
\(208\) | 18.0000 | + | 10.3923i | 1.24808 | + | 0.720577i | ||||
\(209\) | −3.00000 | + | 1.73205i | −0.207514 | + | 0.119808i | ||||
\(210\) | −12.5885 | + | 18.5885i | −0.868686 | + | 1.28273i | ||||
\(211\) | 21.6506 | + | 12.5000i | 1.49049 | + | 0.860535i | 0.999941 | − | 0.0108774i | \(-0.00346244\pi\) |
0.490550 | + | 0.871413i | \(0.336796\pi\) | |||||||
\(212\) | 1.73205 | − | 1.00000i | 0.118958 | − | 0.0686803i | ||||
\(213\) | 3.00000 | + | 1.73205i | 0.205557 | + | 0.118678i | ||||
\(214\) | −2.56218 | − | 9.56218i | −0.175147 | − | 0.653657i | ||||
\(215\) | 19.0526 | − | 33.0000i | 1.29937 | − | 2.25058i | ||||
\(216\) | 10.3923 | − | 10.3923i | 0.707107 | − | 0.707107i | ||||
\(217\) | −13.5000 | + | 2.59808i | −0.916440 | + | 0.176369i | ||||
\(218\) | −1.09808 | + | 4.09808i | −0.0743711 | + | 0.277557i | ||||
\(219\) | − | 21.0000i | − | 1.41905i | ||||||
\(220\) | 13.8564i | 0.934199i | ||||||||
\(221\) | 27.0000 | 1.81622 | ||||||||
\(222\) | −1.90192 | + | 7.09808i | −0.127649 | + | 0.476392i | ||||
\(223\) | 7.79423 | + | 13.5000i | 0.521940 | + | 0.904027i | 0.999674 | + | 0.0255224i | \(0.00812491\pi\) |
−0.477734 | + | 0.878504i | \(0.658542\pi\) | |||||||
\(224\) | 12.3923 | + | 8.39230i | 0.827996 | + | 0.560734i | ||||
\(225\) | −21.0000 | −1.40000 | ||||||||
\(226\) | 25.9545 | − | 6.95448i | 1.72647 | − | 0.462605i | ||||
\(227\) | 3.46410 | − | 6.00000i | 0.229920 | − | 0.398234i | −0.727864 | − | 0.685722i | \(-0.759487\pi\) |
0.957784 | + | 0.287488i | \(0.0928200\pi\) | |||||||
\(228\) | −5.19615 | + | 3.00000i | −0.344124 | + | 0.198680i | ||||
\(229\) | 3.00000 | − | 1.73205i | 0.198246 | − | 0.114457i | −0.397591 | − | 0.917563i | \(-0.630154\pi\) |
0.595837 | + | 0.803105i | \(0.296820\pi\) | |||||||
\(230\) | 18.9282 | − | 5.07180i | 1.24809 | − | 0.334424i | ||||
\(231\) | 6.92820 | − | 6.00000i | 0.455842 | − | 0.394771i | ||||
\(232\) | −13.6603 | − | 3.66025i | −0.896840 | − | 0.240307i | ||||
\(233\) | −0.500000 | + | 0.866025i | −0.0327561 | + | 0.0567352i | −0.881939 | − | 0.471364i | \(-0.843762\pi\) |
0.849183 | + | 0.528099i | \(0.177095\pi\) | |||||||
\(234\) | 15.5885 | − | 15.5885i | 1.01905 | − | 1.01905i | ||||
\(235\) | 5.19615 | − | 3.00000i | 0.338960 | − | 0.195698i | ||||
\(236\) | 3.46410i | 0.225494i | ||||||||
\(237\) | 4.50000 | + | 2.59808i | 0.292306 | + | 0.168763i | ||||
\(238\) | 19.3923 | + | 1.39230i | 1.25702 | + | 0.0902497i | ||||
\(239\) | −9.52628 | − | 5.50000i | −0.616204 | − | 0.355765i | 0.159186 | − | 0.987249i | \(-0.449113\pi\) |
−0.775390 | + | 0.631483i | \(0.782446\pi\) | |||||||
\(240\) | 24.0000i | 1.54919i | ||||||||
\(241\) | −3.00000 | − | 1.73205i | −0.193247 | − | 0.111571i | 0.400255 | − | 0.916404i | \(-0.368922\pi\) |
−0.593502 | + | 0.804833i | \(0.702255\pi\) | |||||||
\(242\) | −2.56218 | + | 9.56218i | −0.164703 | + | 0.614680i | ||||
\(243\) | −7.79423 | − | 13.5000i | −0.500000 | − | 0.866025i | ||||
\(244\) | −10.3923 | −0.665299 | ||||||||
\(245\) | −15.0000 | + | 19.0526i | −0.958315 | + | 1.21722i | ||||
\(246\) | −4.09808 | − | 1.09808i | −0.261284 | − | 0.0700108i | ||||
\(247\) | −7.79423 | + | 4.50000i | −0.495935 | + | 0.286328i | ||||
\(248\) | −10.3923 | + | 10.3923i | −0.659912 | + | 0.659912i | ||||
\(249\) | −9.00000 | −0.570352 | ||||||||
\(250\) | 6.92820 | − | 6.92820i | 0.438178 | − | 0.438178i | ||||
\(251\) | −3.46410 | −0.218652 | −0.109326 | − | 0.994006i | \(-0.534869\pi\) | ||||
−0.109326 | + | 0.994006i | \(0.534869\pi\) | |||||||
\(252\) | 12.0000 | − | 10.3923i | 0.755929 | − | 0.654654i | ||||
\(253\) | −8.00000 | −0.502956 | ||||||||
\(254\) | −6.00000 | + | 6.00000i | −0.376473 | + | 0.376473i | ||||
\(255\) | 15.5885 | + | 27.0000i | 0.976187 | + | 1.69081i | ||||
\(256\) | 16.0000 | 1.00000 | ||||||||
\(257\) | −12.0000 | + | 6.92820i | −0.748539 | + | 0.432169i | −0.825166 | − | 0.564890i | \(-0.808918\pi\) |
0.0766265 | + | 0.997060i | \(0.475585\pi\) | |||||||
\(258\) | −19.0526 | + | 19.0526i | −1.18616 | + | 1.18616i | ||||
\(259\) | −2.59808 | + | 7.50000i | −0.161437 | + | 0.466027i | ||||
\(260\) | 36.0000i | 2.23263i | ||||||||
\(261\) | −7.50000 | + | 12.9904i | −0.464238 | + | 0.804084i | ||||
\(262\) | 5.07180 | − | 18.9282i | 0.313337 | − | 1.16939i | ||||
\(263\) | 22.5167 | + | 13.0000i | 1.38844 | + | 0.801614i | 0.993139 | − | 0.116939i | \(-0.0373081\pi\) |
0.395298 | + | 0.918553i | \(0.370641\pi\) | |||||||
\(264\) | 2.53590 | − | 9.46410i | 0.156074 | − | 0.582475i | ||||
\(265\) | 3.00000 | + | 1.73205i | 0.184289 | + | 0.106399i | ||||
\(266\) | −5.83013 | + | 2.83013i | −0.357468 | + | 0.173526i | ||||
\(267\) | −12.9904 | + | 7.50000i | −0.794998 | + | 0.458993i | ||||
\(268\) | −18.0000 | −1.09952 | ||||||||
\(269\) | 25.5000 | − | 14.7224i | 1.55476 | − | 0.897643i | 0.557019 | − | 0.830500i | \(-0.311945\pi\) |
0.997743 | − | 0.0671428i | \(-0.0213883\pi\) | |||||||
\(270\) | 24.5885 | + | 6.58846i | 1.49641 | + | 0.400961i | ||||
\(271\) | 2.59808 | − | 4.50000i | 0.157822 | − | 0.273356i | −0.776261 | − | 0.630412i | \(-0.782886\pi\) |
0.934083 | + | 0.357056i | \(0.116219\pi\) | |||||||
\(272\) | 18.0000 | − | 10.3923i | 1.09141 | − | 0.630126i | ||||
\(273\) | 18.0000 | − | 15.5885i | 1.08941 | − | 0.943456i | ||||
\(274\) | 10.9282 | − | 2.92820i | 0.660197 | − | 0.176899i | ||||
\(275\) | −12.1244 | + | 7.00000i | −0.731126 | + | 0.422116i | ||||
\(276\) | −13.8564 | −0.834058 | ||||||||
\(277\) | 2.00000 | − | 3.46410i | 0.120168 | − | 0.208138i | −0.799666 | − | 0.600446i | \(-0.794990\pi\) |
0.919834 | + | 0.392308i | \(0.128323\pi\) | |||||||
\(278\) | −30.7583 | + | 8.24167i | −1.84476 | + | 0.494303i | ||||
\(279\) | 7.79423 | + | 13.5000i | 0.466628 | + | 0.808224i | ||||
\(280\) | −1.85641 | + | 25.8564i | −0.110942 | + | 1.54522i | ||||
\(281\) | 2.50000 | + | 4.33013i | 0.149137 | + | 0.258314i | 0.930909 | − | 0.365251i | \(-0.119017\pi\) |
−0.781771 | + | 0.623565i | \(0.785684\pi\) | |||||||
\(282\) | −4.09808 | + | 1.09808i | −0.244037 | + | 0.0653895i | ||||
\(283\) | 8.66025 | 0.514799 | 0.257399 | − | 0.966305i | \(-0.417134\pi\) | ||||
0.257399 | + | 0.966305i | \(0.417134\pi\) | |||||||
\(284\) | 4.00000 | 0.237356 | ||||||||
\(285\) | −9.00000 | − | 5.19615i | −0.533114 | − | 0.307794i | ||||
\(286\) | 3.80385 | − | 14.1962i | 0.224926 | − | 0.839436i | ||||
\(287\) | −4.33013 | − | 1.50000i | −0.255599 | − | 0.0885422i | ||||
\(288\) | 4.39230 | − | 16.3923i | 0.258819 | − | 0.965926i | ||||
\(289\) | 5.00000 | − | 8.66025i | 0.294118 | − | 0.509427i | ||||
\(290\) | −6.33975 | − | 23.6603i | −0.372283 | − | 1.38938i | ||||
\(291\) | − | 3.00000i | − | 0.175863i | ||||||
\(292\) | −12.1244 | − | 21.0000i | −0.709524 | − | 1.22893i | ||||
\(293\) | −4.50000 | − | 2.59808i | −0.262893 | − | 0.151781i | 0.362761 | − | 0.931882i | \(-0.381834\pi\) |
−0.625653 | + | 0.780101i | \(0.715168\pi\) | |||||||
\(294\) | 13.7321 | − | 10.2679i | 0.800869 | − | 0.598839i | ||||
\(295\) | −5.19615 | + | 3.00000i | −0.302532 | + | 0.174667i | ||||
\(296\) | 2.19615 | + | 8.19615i | 0.127649 | + | 0.476392i | ||||
\(297\) | −9.00000 | − | 5.19615i | −0.522233 | − | 0.301511i | ||||
\(298\) | 1.46410 | − | 5.46410i | 0.0848131 | − | 0.316527i | ||||
\(299\) | −20.7846 | −1.20201 | ||||||||
\(300\) | −21.0000 | + | 12.1244i | −1.21244 | + | 0.700000i | ||||
\(301\) | −22.0000 | + | 19.0526i | −1.26806 | + | 1.09817i | ||||
\(302\) | 5.12436 | + | 19.1244i | 0.294874 | + | 1.10048i | ||||
\(303\) | 25.9808 | − | 15.0000i | 1.49256 | − | 0.861727i | ||||
\(304\) | −3.46410 | + | 6.00000i | −0.198680 | + | 0.344124i | ||||
\(305\) | −9.00000 | − | 15.5885i | −0.515339 | − | 0.892592i | ||||
\(306\) | −5.70577 | − | 21.2942i | −0.326177 | − | 1.21731i | ||||
\(307\) | −17.3205 | −0.988534 | −0.494267 | − | 0.869310i | \(-0.664563\pi\) | ||||
−0.494267 | + | 0.869310i | \(0.664563\pi\) | |||||||
\(308\) | 3.46410 | − | 10.0000i | 0.197386 | − | 0.569803i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −24.5885 | − | 6.58846i | −1.39653 | − | 0.374199i | ||||
\(311\) | −22.5167 | −1.27680 | −0.638401 | − | 0.769704i | \(-0.720404\pi\) | ||||
−0.638401 | + | 0.769704i | \(0.720404\pi\) | |||||||
\(312\) | 6.58846 | − | 24.5885i | 0.372998 | − | 1.39205i | ||||
\(313\) | 22.5167i | 1.27272i | 0.771393 | + | 0.636358i | \(0.219560\pi\) | ||||
−0.771393 | + | 0.636358i | \(0.780440\pi\) | |||||||
\(314\) | 12.1244 | − | 12.1244i | 0.684217 | − | 0.684217i | ||||
\(315\) | 25.9808 | + | 9.00000i | 1.46385 | + | 0.507093i | ||||
\(316\) | 6.00000 | 0.337526 | ||||||||
\(317\) | 19.0000 | 1.06715 | 0.533573 | − | 0.845754i | \(-0.320849\pi\) | ||||
0.533573 | + | 0.845754i | \(0.320849\pi\) | |||||||
\(318\) | −1.73205 | − | 1.73205i | −0.0971286 | − | 0.0971286i | ||||
\(319\) | 10.0000i | 0.559893i | ||||||||
\(320\) | 13.8564 | + | 24.0000i | 0.774597 | + | 1.34164i | ||||
\(321\) | −10.5000 | + | 6.06218i | −0.586053 | + | 0.338358i | ||||
\(322\) | −14.9282 | − | 1.07180i | −0.831916 | − | 0.0597289i | ||||
\(323\) | 9.00000i | 0.500773i | ||||||||
\(324\) | −15.5885 | − | 9.00000i | −0.866025 | − | 0.500000i | ||||
\(325\) | −31.5000 | + | 18.1865i | −1.74731 | + | 1.00881i | ||||
\(326\) | 3.29423 | + | 12.2942i | 0.182450 | + | 0.680914i | ||||
\(327\) | 5.19615 | 0.287348 | ||||||||
\(328\) | −4.73205 | + | 1.26795i | −0.261284 | + | 0.0700108i | ||||
\(329\) | −4.50000 | + | 0.866025i | −0.248093 | + | 0.0477455i | ||||
\(330\) | 16.3923 | − | 4.39230i | 0.902367 | − | 0.241788i | ||||
\(331\) | 1.00000i | 0.0549650i | 0.999622 | + | 0.0274825i | \(0.00874905\pi\) | ||||
−0.999622 | + | 0.0274825i | \(0.991251\pi\) | |||||||
\(332\) | −9.00000 | + | 5.19615i | −0.493939 | + | 0.285176i | ||||
\(333\) | 9.00000 | 0.493197 | ||||||||
\(334\) | −7.09808 | + | 1.90192i | −0.388389 | + | 0.104069i | ||||
\(335\) | −15.5885 | − | 27.0000i | −0.851688 | − | 1.47517i | ||||
\(336\) | 6.00000 | − | 17.3205i | 0.327327 | − | 0.944911i | ||||
\(337\) | 13.5000 | − | 23.3827i | 0.735392 | − | 1.27374i | −0.219159 | − | 0.975689i | \(-0.570331\pi\) |
0.954551 | − | 0.298047i | \(-0.0963352\pi\) | |||||||
\(338\) | 5.12436 | − | 19.1244i | 0.278728 | − | 1.04023i | ||||
\(339\) | −16.4545 | − | 28.5000i | −0.893685 | − | 1.54791i | ||||
\(340\) | 31.1769 | + | 18.0000i | 1.69081 | + | 0.976187i | ||||
\(341\) | 9.00000 | + | 5.19615i | 0.487377 | + | 0.281387i | ||||
\(342\) | 5.19615 | + | 5.19615i | 0.280976 | + | 0.280976i | ||||
\(343\) | 15.5885 | − | 10.0000i | 0.841698 | − | 0.539949i | ||||
\(344\) | −8.05256 | + | 30.0526i | −0.434165 | + | 1.62033i | ||||
\(345\) | −12.0000 | − | 20.7846i | −0.646058 | − | 1.11901i | ||||
\(346\) | −19.0526 | + | 19.0526i | −1.02427 | + | 1.02427i | ||||
\(347\) | − | 29.0000i | − | 1.55680i | −0.627768 | − | 0.778401i | \(-0.716031\pi\) | ||
0.627768 | − | 0.778401i | \(-0.283969\pi\) | |||||||
\(348\) | 17.3205i | 0.928477i | ||||||||
\(349\) | −13.5000 | + | 7.79423i | −0.722638 | + | 0.417215i | −0.815723 | − | 0.578443i | \(-0.803661\pi\) |
0.0930846 | + | 0.995658i | \(0.470327\pi\) | |||||||
\(350\) | −23.5622 | + | 11.4378i | −1.25945 | + | 0.611377i | ||||
\(351\) | −23.3827 | − | 13.5000i | −1.24808 | − | 0.720577i | ||||
\(352\) | −2.92820 | − | 10.9282i | −0.156074 | − | 0.582475i | ||||
\(353\) | 9.00000 | + | 5.19615i | 0.479022 | + | 0.276563i | 0.720009 | − | 0.693965i | \(-0.244138\pi\) |
−0.240987 | + | 0.970528i | \(0.577471\pi\) | |||||||
\(354\) | 4.09808 | − | 1.09808i | 0.217810 | − | 0.0583621i | ||||
\(355\) | 3.46410 | + | 6.00000i | 0.183855 | + | 0.318447i | ||||
\(356\) | −8.66025 | + | 15.0000i | −0.458993 | + | 0.794998i | ||||
\(357\) | −4.50000 | − | 23.3827i | −0.238165 | − | 1.23754i | ||||
\(358\) | 6.83013 | + | 1.83013i | 0.360983 | + | 0.0967252i | ||||
\(359\) | −14.7224 | − | 8.50000i | −0.777020 | − | 0.448613i | 0.0583530 | − | 0.998296i | \(-0.481415\pi\) |
−0.835373 | + | 0.549683i | \(0.814748\pi\) | |||||||
\(360\) | 28.3923 | − | 7.60770i | 1.49641 | − | 0.400961i | ||||
\(361\) | 8.00000 | + | 13.8564i | 0.421053 | + | 0.729285i | ||||
\(362\) | −17.3205 | + | 17.3205i | −0.910346 | + | 0.910346i | ||||
\(363\) | 12.1244 | 0.636364 | ||||||||
\(364\) | 9.00000 | − | 25.9808i | 0.471728 | − | 1.36176i | ||||
\(365\) | 21.0000 | − | 36.3731i | 1.09919 | − | 1.90385i | ||||
\(366\) | 3.29423 | + | 12.2942i | 0.172192 | + | 0.642630i | ||||
\(367\) | 17.3205 | − | 30.0000i | 0.904123 | − | 1.56599i | 0.0820332 | − | 0.996630i | \(-0.473859\pi\) |
0.822090 | − | 0.569358i | \(-0.192808\pi\) | |||||||
\(368\) | −13.8564 | + | 8.00000i | −0.722315 | + | 0.417029i | ||||
\(369\) | 5.19615i | 0.270501i | ||||||||
\(370\) | −10.3923 | + | 10.3923i | −0.540270 | + | 0.540270i | ||||
\(371\) | −1.73205 | − | 2.00000i | −0.0899236 | − | 0.103835i | ||||
\(372\) | 15.5885 | + | 9.00000i | 0.808224 | + | 0.466628i | ||||
\(373\) | 13.0000 | + | 22.5167i | 0.673114 | + | 1.16587i | 0.977016 | + | 0.213165i | \(0.0683772\pi\) |
−0.303902 | + | 0.952703i | \(0.598289\pi\) | |||||||
\(374\) | −10.3923 | − | 10.3923i | −0.537373 | − | 0.537373i | ||||
\(375\) | −10.3923 | − | 6.00000i | −0.536656 | − | 0.309839i | ||||
\(376\) | −3.46410 | + | 3.46410i | −0.178647 | + | 0.178647i | ||||
\(377\) | 25.9808i | 1.33808i | ||||||||
\(378\) | −16.0981 | − | 10.9019i | −0.827996 | − | 0.560734i | ||||
\(379\) | 14.0000i | 0.719132i | 0.933120 | + | 0.359566i | \(0.117075\pi\) | ||||
−0.933120 | + | 0.359566i | \(0.882925\pi\) | |||||||
\(380\) | −12.0000 | −0.615587 | ||||||||
\(381\) | 9.00000 | + | 5.19615i | 0.461084 | + | 0.266207i | ||||
\(382\) | −7.00000 | + | 7.00000i | −0.358151 | + | 0.358151i | ||||
\(383\) | 3.46410 | + | 6.00000i | 0.177007 | + | 0.306586i | 0.940854 | − | 0.338812i | \(-0.110025\pi\) |
−0.763847 | + | 0.645398i | \(0.776692\pi\) | |||||||
\(384\) | −5.07180 | − | 18.9282i | −0.258819 | − | 0.965926i | ||||
\(385\) | 18.0000 | − | 3.46410i | 0.917365 | − | 0.176547i | ||||
\(386\) | 9.00000 | + | 9.00000i | 0.458088 | + | 0.458088i | ||||
\(387\) | 28.5788 | + | 16.5000i | 1.45274 | + | 0.838742i | ||||
\(388\) | −1.73205 | − | 3.00000i | −0.0879316 | − | 0.152302i | ||||
\(389\) | 16.0000 | − | 27.7128i | 0.811232 | − | 1.40510i | −0.100770 | − | 0.994910i | \(-0.532131\pi\) |
0.912002 | − | 0.410186i | \(-0.134536\pi\) | |||||||
\(390\) | 42.5885 | − | 11.4115i | 2.15655 | − | 0.577846i | ||||
\(391\) | −10.3923 | + | 18.0000i | −0.525561 | + | 0.910299i | ||||
\(392\) | 7.80385 | − | 18.1962i | 0.394154 | − | 0.919044i | ||||
\(393\) | −24.0000 | −1.21064 | ||||||||
\(394\) | 10.0000 | + | 10.0000i | 0.503793 | + | 0.503793i | ||||
\(395\) | 5.19615 | + | 9.00000i | 0.261447 | + | 0.452839i | ||||
\(396\) | −12.0000 | −0.603023 | ||||||||
\(397\) | −16.5000 | − | 9.52628i | −0.828111 | − | 0.478110i | 0.0250943 | − | 0.999685i | \(-0.492011\pi\) |
−0.853206 | + | 0.521575i | \(0.825345\pi\) | |||||||
\(398\) | 0.633975 | − | 2.36603i | 0.0317783 | − | 0.118598i | ||||
\(399\) | 5.19615 | + | 6.00000i | 0.260133 | + | 0.300376i | ||||
\(400\) | −14.0000 | + | 24.2487i | −0.700000 | + | 1.21244i | ||||
\(401\) | −4.00000 | − | 6.92820i | −0.199750 | − | 0.345978i | 0.748697 | − | 0.662912i | \(-0.230680\pi\) |
−0.948447 | + | 0.316934i | \(0.897346\pi\) | |||||||
\(402\) | 5.70577 | + | 21.2942i | 0.284578 | + | 1.06206i | ||||
\(403\) | 23.3827 | + | 13.5000i | 1.16477 | + | 0.672483i | ||||
\(404\) | 17.3205 | − | 30.0000i | 0.861727 | − | 1.49256i | ||||
\(405\) | − | 31.1769i | − | 1.54919i | ||||||
\(406\) | −1.33975 | + | 18.6603i | −0.0664905 | + | 0.926093i | ||||
\(407\) | 5.19615 | − | 3.00000i | 0.257564 | − | 0.148704i | ||||
\(408\) | −18.0000 | − | 18.0000i | −0.891133 | − | 0.891133i | ||||
\(409\) | − | 15.5885i | − | 0.770800i | −0.922750 | − | 0.385400i | \(-0.874064\pi\) | ||
0.922750 | − | 0.385400i | \(-0.125936\pi\) | |||||||
\(410\) | −6.00000 | − | 6.00000i | −0.296319 | − | 0.296319i | ||||
\(411\) | −6.92820 | − | 12.0000i | −0.341743 | − | 0.591916i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 4.50000 | − | 0.866025i | 0.221431 | − | 0.0426143i | ||||
\(414\) | 4.39230 | + | 16.3923i | 0.215870 | + | 0.805638i | ||||
\(415\) | −15.5885 | − | 9.00000i | −0.765207 | − | 0.441793i | ||||
\(416\) | −7.60770 | − | 28.3923i | −0.372998 | − | 1.39205i | ||||
\(417\) | 19.5000 | + | 33.7750i | 0.954919 | + | 1.65397i | ||||
\(418\) | 4.73205 | + | 1.26795i | 0.231452 | + | 0.0620174i | ||||
\(419\) | −7.79423 | + | 13.5000i | −0.380773 | + | 0.659518i | −0.991173 | − | 0.132575i | \(-0.957675\pi\) |
0.610400 | + | 0.792093i | \(0.291009\pi\) | |||||||
\(420\) | 31.1769 | − | 6.00000i | 1.52128 | − | 0.292770i | ||||
\(421\) | 11.5000 | + | 19.9186i | 0.560476 | + | 0.970772i | 0.997455 | + | 0.0713008i | \(0.0227150\pi\) |
−0.436979 | + | 0.899472i | \(0.643952\pi\) | |||||||
\(422\) | −9.15064 | − | 34.1506i | −0.445446 | − | 1.66243i | ||||
\(423\) | 2.59808 | + | 4.50000i | 0.126323 | + | 0.218797i | ||||
\(424\) | −2.73205 | − | 0.732051i | −0.132680 | − | 0.0355515i | ||||
\(425\) | 36.3731i | 1.76435i | ||||||||
\(426\) | −1.26795 | − | 4.73205i | −0.0614323 | − | 0.229269i | ||||
\(427\) | 2.59808 | + | 13.5000i | 0.125730 | + | 0.653311i | ||||
\(428\) | −7.00000 | + | 12.1244i | −0.338358 | + | 0.586053i | ||||
\(429\) | −18.0000 | −0.869048 | ||||||||
\(430\) | −52.0526 | + | 13.9474i | −2.51020 | + | 0.672605i | ||||
\(431\) | 4.33013 | − | 2.50000i | 0.208575 | − | 0.120421i | −0.392074 | − | 0.919934i | \(-0.628242\pi\) |
0.600649 | + | 0.799513i | \(0.294909\pi\) | |||||||
\(432\) | −20.7846 | −1.00000 | ||||||||
\(433\) | − | 27.7128i | − | 1.33179i | −0.746044 | − | 0.665896i | \(-0.768049\pi\) | ||
0.746044 | − | 0.665896i | \(-0.231951\pi\) | |||||||
\(434\) | 16.0981 | + | 10.9019i | 0.772732 | + | 0.523309i | ||||
\(435\) | −25.9808 | + | 15.0000i | −1.24568 | + | 0.719195i | ||||
\(436\) | 5.19615 | − | 3.00000i | 0.248851 | − | 0.143674i | ||||
\(437\) | − | 6.92820i | − | 0.331421i | ||||||
\(438\) | −21.0000 | + | 21.0000i | −1.00342 | + | 1.00342i | ||||
\(439\) | 12.1244 | 0.578664 | 0.289332 | − | 0.957229i | \(-0.406567\pi\) | ||||
0.289332 | + | 0.957229i | \(0.406567\pi\) | |||||||
\(440\) | 13.8564 | − | 13.8564i | 0.660578 | − | 0.660578i | ||||
\(441\) | −16.5000 | − | 12.9904i | −0.785714 | − | 0.618590i | ||||
\(442\) | −27.0000 | − | 27.0000i | −1.28426 | − | 1.28426i | ||||
\(443\) | 31.0000i | 1.47285i | 0.676517 | + | 0.736427i | \(0.263489\pi\) | ||||
−0.676517 | + | 0.736427i | \(0.736511\pi\) | |||||||
\(444\) | 9.00000 | − | 5.19615i | 0.427121 | − | 0.246598i | ||||
\(445\) | −30.0000 | −1.42214 | ||||||||
\(446\) | 5.70577 | − | 21.2942i | 0.270176 | − | 1.00831i | ||||
\(447\) | −6.92820 | −0.327693 | ||||||||
\(448\) | −4.00000 | − | 20.7846i | −0.188982 | − | 0.981981i | ||||
\(449\) | −26.0000 | −1.22702 | −0.613508 | − | 0.789689i | \(-0.710242\pi\) | ||||
−0.613508 | + | 0.789689i | \(0.710242\pi\) | |||||||
\(450\) | 21.0000 | + | 21.0000i | 0.989949 | + | 0.989949i | ||||
\(451\) | 1.73205 | + | 3.00000i | 0.0815591 | + | 0.141264i | ||||
\(452\) | −32.9090 | − | 19.0000i | −1.54791 | − | 0.893685i | ||||
\(453\) | 21.0000 | − | 12.1244i | 0.986666 | − | 0.569652i | ||||
\(454\) | −9.46410 | + | 2.53590i | −0.444172 | + | 0.119016i | ||||
\(455\) | 46.7654 | − | 9.00000i | 2.19239 | − | 0.421927i | ||||
\(456\) | 8.19615 | + | 2.19615i | 0.383820 | + | 0.102844i | ||||
\(457\) | 3.00000 | 0.140334 | 0.0701670 | − | 0.997535i | \(-0.477647\pi\) | ||||
0.0701670 | + | 0.997535i | \(0.477647\pi\) | |||||||
\(458\) | −4.73205 | − | 1.26795i | −0.221114 | − | 0.0592474i | ||||
\(459\) | −23.3827 | + | 13.5000i | −1.09141 | + | 0.630126i | ||||
\(460\) | −24.0000 | − | 13.8564i | −1.11901 | − | 0.646058i | ||||
\(461\) | −28.5000 | + | 16.4545i | −1.32738 | + | 0.766362i | −0.984893 | − | 0.173162i | \(-0.944602\pi\) |
−0.342484 | + | 0.939524i | \(0.611268\pi\) | |||||||
\(462\) | −12.9282 | − | 0.928203i | −0.601474 | − | 0.0431839i | ||||
\(463\) | 28.5788 | + | 16.5000i | 1.32817 | + | 0.766820i | 0.985017 | − | 0.172459i | \(-0.0551712\pi\) |
0.343155 | + | 0.939279i | \(0.388505\pi\) | |||||||
\(464\) | 10.0000 | + | 17.3205i | 0.464238 | + | 0.804084i | ||||
\(465\) | 31.1769i | 1.44579i | ||||||||
\(466\) | 1.36603 | − | 0.366025i | 0.0632799 | − | 0.0169558i | ||||
\(467\) | −0.866025 | + | 1.50000i | −0.0400749 | + | 0.0694117i | −0.885367 | − | 0.464892i | \(-0.846093\pi\) |
0.845292 | + | 0.534304i | \(0.179426\pi\) | |||||||
\(468\) | −31.1769 | −1.44115 | ||||||||
\(469\) | 4.50000 | + | 23.3827i | 0.207791 | + | 1.07971i | ||||
\(470\) | −8.19615 | − | 2.19615i | −0.378060 | − | 0.101301i | ||||
\(471\) | −18.1865 | − | 10.5000i | −0.837991 | − | 0.483814i | ||||
\(472\) | 3.46410 | − | 3.46410i | 0.159448 | − | 0.159448i | ||||
\(473\) | 22.0000 | 1.01156 | ||||||||
\(474\) | −1.90192 | − | 7.09808i | −0.0873583 | − | 0.326025i | ||||
\(475\) | −6.06218 | − | 10.5000i | −0.278152 | − | 0.481773i | ||||
\(476\) | −18.0000 | − | 20.7846i | −0.825029 | − | 0.952661i | ||||
\(477\) | −1.50000 | + | 2.59808i | −0.0686803 | + | 0.118958i | ||||
\(478\) | 4.02628 | + | 15.0263i | 0.184158 | + | 0.687286i | ||||
\(479\) | −10.3923 | + | 18.0000i | −0.474837 | + | 0.822441i | −0.999585 | − | 0.0288165i | \(-0.990826\pi\) |
0.524748 | + | 0.851258i | \(0.324159\pi\) | |||||||
\(480\) | 24.0000 | − | 24.0000i | 1.09545 | − | 1.09545i | ||||
\(481\) | 13.5000 | − | 7.79423i | 0.615547 | − | 0.355386i | ||||
\(482\) | 1.26795 | + | 4.73205i | 0.0577535 | + | 0.215539i | ||||
\(483\) | 3.46410 | + | 18.0000i | 0.157622 | + | 0.819028i | ||||
\(484\) | 12.1244 | − | 7.00000i | 0.551107 | − | 0.318182i | ||||
\(485\) | 3.00000 | − | 5.19615i | 0.136223 | − | 0.235945i | ||||
\(486\) | −5.70577 | + | 21.2942i | −0.258819 | + | 0.965926i | ||||
\(487\) | −19.9186 | + | 11.5000i | −0.902597 | + | 0.521115i | −0.878042 | − | 0.478584i | \(-0.841150\pi\) |
−0.0245553 | + | 0.999698i | \(0.507817\pi\) | |||||||
\(488\) | 10.3923 | + | 10.3923i | 0.470438 | + | 0.470438i | ||||
\(489\) | 13.5000 | − | 7.79423i | 0.610491 | − | 0.352467i | ||||
\(490\) | 34.0526 | − | 4.05256i | 1.53834 | − | 0.183076i | ||||
\(491\) | 16.4545 | + | 9.50000i | 0.742580 | + | 0.428729i | 0.823007 | − | 0.568032i | \(-0.192295\pi\) |
−0.0804264 | + | 0.996761i | \(0.525628\pi\) | |||||||
\(492\) | 3.00000 | + | 5.19615i | 0.135250 | + | 0.234261i | ||||
\(493\) | 22.5000 | + | 12.9904i | 1.01335 | + | 0.585057i | ||||
\(494\) | 12.2942 | + | 3.29423i | 0.553143 | + | 0.148214i | ||||
\(495\) | −10.3923 | − | 18.0000i | −0.467099 | − | 0.809040i | ||||
\(496\) | 20.7846 | 0.933257 | ||||||||
\(497\) | −1.00000 | − | 5.19615i | −0.0448561 | − | 0.233079i | ||||
\(498\) | 9.00000 | + | 9.00000i | 0.403300 | + | 0.403300i | ||||
\(499\) | 1.73205 | − | 1.00000i | 0.0775372 | − | 0.0447661i | −0.460730 | − | 0.887540i | \(-0.652412\pi\) |
0.538267 | + | 0.842774i | \(0.319079\pi\) | |||||||
\(500\) | −13.8564 | −0.619677 | ||||||||
\(501\) | 4.50000 | + | 7.79423i | 0.201045 | + | 0.348220i | ||||
\(502\) | 3.46410 | + | 3.46410i | 0.154610 | + | 0.154610i | ||||
\(503\) | −41.5692 | −1.85348 | −0.926740 | − | 0.375703i | \(-0.877401\pi\) | ||||
−0.926740 | + | 0.375703i | \(0.877401\pi\) | |||||||
\(504\) | −22.3923 | − | 1.60770i | −0.997433 | − | 0.0716124i | ||||
\(505\) | 60.0000 | 2.66996 | ||||||||
\(506\) | 8.00000 | + | 8.00000i | 0.355643 | + | 0.355643i | ||||
\(507\) | −24.2487 | −1.07692 | ||||||||
\(508\) | 12.0000 | 0.532414 | ||||||||
\(509\) | 6.00000 | − | 3.46410i | 0.265945 | − | 0.153544i | −0.361098 | − | 0.932528i | \(-0.617598\pi\) |
0.627044 | + | 0.778984i | \(0.284265\pi\) | |||||||
\(510\) | 11.4115 | − | 42.5885i | 0.505312 | − | 1.88585i | ||||
\(511\) | −24.2487 | + | 21.0000i | −1.07270 | + | 0.928985i | ||||
\(512\) | −16.0000 | − | 16.0000i | −0.707107 | − | 0.707107i | ||||
\(513\) | 4.50000 | − | 7.79423i | 0.198680 | − | 0.344124i | ||||
\(514\) | 18.9282 | + | 5.07180i | 0.834887 | + | 0.223707i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 38.1051 | 1.67748 | ||||||||
\(517\) | 3.00000 | + | 1.73205i | 0.131940 | + | 0.0761755i | ||||
\(518\) | 10.0981 | − | 4.90192i | 0.443684 | − | 0.215378i | ||||
\(519\) | 28.5788 | + | 16.5000i | 1.25447 | + | 0.724270i | ||||
\(520\) | 36.0000 | − | 36.0000i | 1.57870 | − | 1.57870i | ||||
\(521\) | −19.5000 | + | 11.2583i | −0.854311 | + | 0.493236i | −0.862103 | − | 0.506733i | \(-0.830853\pi\) |
0.00779240 | + | 0.999970i | \(0.497520\pi\) | |||||||
\(522\) | 20.4904 | − | 5.49038i | 0.896840 | − | 0.240307i | ||||
\(523\) | −16.4545 | + | 28.5000i | −0.719504 | + | 1.24622i | 0.241692 | + | 0.970353i | \(0.422298\pi\) |
−0.961196 | + | 0.275865i | \(0.911036\pi\) | |||||||
\(524\) | −24.0000 | + | 13.8564i | −1.04844 | + | 0.605320i | ||||
\(525\) | 21.0000 | + | 24.2487i | 0.916515 | + | 1.05830i | ||||
\(526\) | −9.51666 | − | 35.5167i | −0.414946 | − | 1.54860i | ||||
\(527\) | 23.3827 | − | 13.5000i | 1.01857 | − | 0.588069i | ||||
\(528\) | −12.0000 | + | 6.92820i | −0.522233 | + | 0.301511i | ||||
\(529\) | −3.50000 | + | 6.06218i | −0.152174 | + | 0.263573i | ||||
\(530\) | −1.26795 | − | 4.73205i | −0.0550762 | − | 0.205547i | ||||
\(531\) | −2.59808 | − | 4.50000i | −0.112747 | − | 0.195283i | ||||
\(532\) | 8.66025 | + | 3.00000i | 0.375470 | + | 0.130066i | ||||
\(533\) | 4.50000 | + | 7.79423i | 0.194917 | + | 0.337606i | ||||
\(534\) | 20.4904 | + | 5.49038i | 0.886706 | + | 0.237592i | ||||
\(535\) | −24.2487 | −1.04836 | ||||||||
\(536\) | 18.0000 | + | 18.0000i | 0.777482 | + | 0.777482i | ||||
\(537\) | − | 8.66025i | − | 0.373718i | ||||||
\(538\) | −40.2224 | − | 10.7776i | −1.73411 | − | 0.464654i | ||||
\(539\) | −13.8564 | − | 2.00000i | −0.596838 | − | 0.0861461i | ||||
\(540\) | −18.0000 | − | 31.1769i | −0.774597 | − | 1.34164i | ||||
\(541\) | −20.5000 | + | 35.5070i | −0.881364 | + | 1.52657i | −0.0315385 | + | 0.999503i | \(0.510041\pi\) |
−0.849825 | + | 0.527064i | \(0.823293\pi\) | |||||||
\(542\) | −7.09808 | + | 1.90192i | −0.304888 | + | 0.0816946i | ||||
\(543\) | 25.9808 | + | 15.0000i | 1.11494 | + | 0.643712i | ||||
\(544\) | −28.3923 | − | 7.60770i | −1.21731 | − | 0.326177i | ||||
\(545\) | 9.00000 | + | 5.19615i | 0.385518 | + | 0.222579i | ||||
\(546\) | −33.5885 | − | 2.41154i | −1.43745 | − | 0.103205i | ||||
\(547\) | 2.59808 | − | 1.50000i | 0.111086 | − | 0.0641354i | −0.443428 | − | 0.896310i | \(-0.646238\pi\) |
0.554513 | + | 0.832175i | \(0.312904\pi\) | |||||||
\(548\) | −13.8564 | − | 8.00000i | −0.591916 | − | 0.341743i | ||||
\(549\) | 13.5000 | − | 7.79423i | 0.576166 | − | 0.332650i | ||||
\(550\) | 19.1244 | + | 5.12436i | 0.815465 | + | 0.218503i | ||||
\(551\) | −8.66025 | −0.368939 | ||||||||
\(552\) | 13.8564 | + | 13.8564i | 0.589768 | + | 0.589768i | ||||
\(553\) | −1.50000 | − | 7.79423i | −0.0637865 | − | 0.331444i | ||||
\(554\) | −5.46410 | + | 1.46410i | −0.232147 | + | 0.0622037i | ||||
\(555\) | 15.5885 | + | 9.00000i | 0.661693 | + | 0.382029i | ||||
\(556\) | 39.0000 | + | 22.5167i | 1.65397 | + | 0.954919i | ||||
\(557\) | −2.50000 | − | 4.33013i | −0.105928 | − | 0.183473i | 0.808189 | − | 0.588924i | \(-0.200448\pi\) |
−0.914117 | + | 0.405450i | \(0.867115\pi\) | |||||||
\(558\) | 5.70577 | − | 21.2942i | 0.241545 | − | 0.901457i | ||||
\(559\) | 57.1577 | 2.41751 | ||||||||
\(560\) | 27.7128 | − | 24.0000i | 1.17108 | − | 1.01419i | ||||
\(561\) | −9.00000 | + | 15.5885i | −0.379980 | + | 0.658145i | ||||
\(562\) | 1.83013 | − | 6.83013i | 0.0771992 | − | 0.288112i | ||||
\(563\) | −22.5167 | −0.948964 | −0.474482 | − | 0.880265i | \(-0.657365\pi\) | ||||
−0.474482 | + | 0.880265i | \(0.657365\pi\) | |||||||
\(564\) | 5.19615 | + | 3.00000i | 0.218797 | + | 0.126323i | ||||
\(565\) | − | 65.8179i | − | 2.76898i | ||||||
\(566\) | −8.66025 | − | 8.66025i | −0.364018 | − | 0.364018i | ||||
\(567\) | −7.79423 | + | 22.5000i | −0.327327 | + | 0.944911i | ||||
\(568\) | −4.00000 | − | 4.00000i | −0.167836 | − | 0.167836i | ||||
\(569\) | 1.00000 | 0.0419222 | 0.0209611 | − | 0.999780i | \(-0.493327\pi\) | ||||
0.0209611 | + | 0.999780i | \(0.493327\pi\) | |||||||
\(570\) | 3.80385 | + | 14.1962i | 0.159326 | + | 0.594611i | ||||
\(571\) | − | 27.0000i | − | 1.12991i | −0.825120 | − | 0.564957i | \(-0.808893\pi\) | ||
0.825120 | − | 0.564957i | \(-0.191107\pi\) | |||||||
\(572\) | −18.0000 | + | 10.3923i | −0.752618 | + | 0.434524i | ||||
\(573\) | 10.5000 | + | 6.06218i | 0.438644 | + | 0.253251i | ||||
\(574\) | 2.83013 | + | 5.83013i | 0.118127 | + | 0.243345i | ||||
\(575\) | − | 28.0000i | − | 1.16768i | ||||||
\(576\) | −20.7846 | + | 12.0000i | −0.866025 | + | 0.500000i | ||||
\(577\) | 19.5000 | − | 11.2583i | 0.811796 | − | 0.468690i | −0.0357834 | − | 0.999360i | \(-0.511393\pi\) |
0.847579 | + | 0.530669i | \(0.178059\pi\) | |||||||
\(578\) | −13.6603 | + | 3.66025i | −0.568192 | + | 0.152246i | ||||
\(579\) | 7.79423 | − | 13.5000i | 0.323917 | − | 0.561041i | ||||
\(580\) | −17.3205 | + | 30.0000i | −0.719195 | + | 1.24568i | ||||
\(581\) | 9.00000 | + | 10.3923i | 0.373383 | + | 0.431145i | ||||
\(582\) | −3.00000 | + | 3.00000i | −0.124354 | + | 0.124354i | ||||
\(583\) | 2.00000i | 0.0828315i | ||||||||
\(584\) | −8.87564 | + | 33.1244i | −0.367277 | + | 1.37070i | ||||
\(585\) | −27.0000 | − | 46.7654i | −1.11631 | − | 1.93351i | ||||
\(586\) | 1.90192 | + | 7.09808i | 0.0785677 | + | 0.293219i | ||||
\(587\) | −16.4545 | − | 28.5000i | −0.679149 | − | 1.17632i | −0.975237 | − | 0.221160i | \(-0.929016\pi\) |
0.296088 | − | 0.955161i | \(-0.404318\pi\) | |||||||
\(588\) | −24.0000 | − | 3.46410i | −0.989743 | − | 0.142857i | ||||
\(589\) | −4.50000 | + | 7.79423i | −0.185419 | + | 0.321156i | ||||
\(590\) | 8.19615 | + | 2.19615i | 0.337430 | + | 0.0904142i | ||||
\(591\) | 8.66025 | − | 15.0000i | 0.356235 | − | 0.617018i | ||||
\(592\) | 6.00000 | − | 10.3923i | 0.246598 | − | 0.427121i | ||||
\(593\) | −13.5000 | − | 7.79423i | −0.554379 | − | 0.320071i | 0.196508 | − | 0.980502i | \(-0.437040\pi\) |
−0.750886 | + | 0.660432i | \(0.770373\pi\) | |||||||
\(594\) | 3.80385 | + | 14.1962i | 0.156074 | + | 0.582475i | ||||
\(595\) | 15.5885 | − | 45.0000i | 0.639064 | − | 1.84482i | ||||
\(596\) | −6.92820 | + | 4.00000i | −0.283790 | + | 0.163846i | ||||
\(597\) | −3.00000 | −0.122782 | ||||||||
\(598\) | 20.7846 | + | 20.7846i | 0.849946 | + | 0.849946i | ||||
\(599\) | 23.0000i | 0.939755i | 0.882732 | + | 0.469877i | \(0.155702\pi\) | ||||
−0.882732 | + | 0.469877i | \(0.844298\pi\) | |||||||
\(600\) | 33.1244 | + | 8.87564i | 1.35230 | + | 0.362347i | ||||
\(601\) | 1.50000 | − | 0.866025i | 0.0611863 | − | 0.0353259i | −0.469095 | − | 0.883148i | \(-0.655420\pi\) |
0.530281 | + | 0.847822i | \(0.322086\pi\) | |||||||
\(602\) | 41.0526 | + | 2.94744i | 1.67318 | + | 0.120129i | ||||
\(603\) | 23.3827 | − | 13.5000i | 0.952217 | − | 0.549762i | ||||
\(604\) | 14.0000 | − | 24.2487i | 0.569652 | − | 0.986666i | ||||
\(605\) | 21.0000 | + | 12.1244i | 0.853771 | + | 0.492925i | ||||
\(606\) | −40.9808 | − | 10.9808i | −1.66473 | − | 0.446063i | ||||
\(607\) | −13.8564 | − | 24.0000i | −0.562414 | − | 0.974130i | −0.997285 | − | 0.0736371i | \(-0.976539\pi\) |
0.434871 | − | 0.900493i | \(-0.356794\pi\) | |||||||
\(608\) | 9.46410 | − | 2.53590i | 0.383820 | − | 0.102844i | ||||
\(609\) | 22.5000 | − | 4.33013i | 0.911746 | − | 0.175466i | ||||
\(610\) | −6.58846 | + | 24.5885i | −0.266759 | + | 0.995558i | ||||
\(611\) | 7.79423 | + | 4.50000i | 0.315321 | + | 0.182051i | ||||
\(612\) | −15.5885 | + | 27.0000i | −0.630126 | + | 1.09141i | ||||
\(613\) | −5.50000 | − | 9.52628i | −0.222143 | − | 0.384763i | 0.733316 | − | 0.679888i | \(-0.237972\pi\) |
−0.955458 | + | 0.295126i | \(0.904638\pi\) | |||||||
\(614\) | 17.3205 | + | 17.3205i | 0.698999 | + | 0.698999i | ||||
\(615\) | −5.19615 | + | 9.00000i | −0.209529 | + | 0.362915i | ||||
\(616\) | −13.4641 | + | 6.53590i | −0.542484 | + | 0.263339i | ||||
\(617\) | −6.50000 | + | 11.2583i | −0.261680 | + | 0.453243i | −0.966689 | − | 0.255956i | \(-0.917610\pi\) |
0.705008 | + | 0.709199i | \(0.250943\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 6.92820 | − | 12.0000i | 0.278468 | − | 0.482321i | −0.692536 | − | 0.721383i | \(-0.743507\pi\) |
0.971004 | + | 0.239062i | \(0.0768400\pi\) | |||||||
\(620\) | 18.0000 | + | 31.1769i | 0.722897 | + | 1.25210i | ||||
\(621\) | 18.0000 | − | 10.3923i | 0.722315 | − | 0.417029i | ||||
\(622\) | 22.5167 | + | 22.5167i | 0.902836 | + | 0.902836i | ||||
\(623\) | 21.6506 | + | 7.50000i | 0.867414 | + | 0.300481i | ||||
\(624\) | −31.1769 | + | 18.0000i | −1.24808 | + | 0.720577i | ||||
\(625\) | 5.50000 | + | 9.52628i | 0.220000 | + | 0.381051i | ||||
\(626\) | 22.5167 | − | 22.5167i | 0.899947 | − | 0.899947i | ||||
\(627\) | − | 6.00000i | − | 0.239617i | ||||||
\(628\) | −24.2487 | −0.967629 | ||||||||
\(629\) | − | 15.5885i | − | 0.621552i | ||||||
\(630\) | −16.9808 | − | 34.9808i | −0.676530 | − | 1.39367i | ||||
\(631\) | 30.0000i | 1.19428i | 0.802137 | + | 0.597141i | \(0.203697\pi\) | ||||
−0.802137 | + | 0.597141i | \(0.796303\pi\) | |||||||
\(632\) | −6.00000 | − | 6.00000i | −0.238667 | − | 0.238667i | ||||
\(633\) | −37.5000 | + | 21.6506i | −1.49049 | + | 0.860535i | ||||
\(634\) | −19.0000 | − | 19.0000i | −0.754586 | − | 0.754586i | ||||
\(635\) | 10.3923 | + | 18.0000i | 0.412406 | + | 0.714308i | ||||
\(636\) | 3.46410i | 0.137361i | ||||||||
\(637\) | −36.0000 | − | 5.19615i | −1.42637 | − | 0.205879i | ||||
\(638\) | 10.0000 | − | 10.0000i | 0.395904 | − | 0.395904i | ||||
\(639\) | −5.19615 | + | 3.00000i | −0.205557 | + | 0.118678i | ||||
\(640\) | 10.1436 | − | 37.8564i | 0.400961 | − | 1.49641i | ||||
\(641\) | −2.00000 | + | 3.46410i | −0.0789953 | + | 0.136824i | −0.902817 | − | 0.430026i | \(-0.858505\pi\) |
0.823821 | + | 0.566849i | \(0.191838\pi\) | |||||||
\(642\) | 16.5622 | + | 4.43782i | 0.653657 | + | 0.175147i | ||||
\(643\) | 7.79423 | − | 13.5000i | 0.307374 | − | 0.532388i | −0.670413 | − | 0.741988i | \(-0.733883\pi\) |
0.977787 | + | 0.209600i | \(0.0672163\pi\) | |||||||
\(644\) | 13.8564 | + | 16.0000i | 0.546019 | + | 0.630488i | ||||
\(645\) | 33.0000 | + | 57.1577i | 1.29937 | + | 2.25058i | ||||
\(646\) | 9.00000 | − | 9.00000i | 0.354100 | − | 0.354100i | ||||
\(647\) | 7.79423 | + | 13.5000i | 0.306423 | + | 0.530740i | 0.977577 | − | 0.210578i | \(-0.0675346\pi\) |
−0.671154 | + | 0.741318i | \(0.734201\pi\) | |||||||
\(648\) | 6.58846 | + | 24.5885i | 0.258819 | + | 0.965926i | ||||
\(649\) | −3.00000 | − | 1.73205i | −0.117760 | − | 0.0679889i | ||||
\(650\) | 49.6865 | + | 13.3135i | 1.94887 | + | 0.522197i | ||||
\(651\) | 7.79423 | − | 22.5000i | 0.305480 | − | 0.881845i | ||||
\(652\) | 9.00000 | − | 15.5885i | 0.352467 | − | 0.610491i | ||||
\(653\) | −13.0000 | − | 22.5167i | −0.508729 | − | 0.881145i | −0.999949 | − | 0.0101092i | \(-0.996782\pi\) |
0.491220 | − | 0.871036i | \(-0.336551\pi\) | |||||||
\(654\) | −5.19615 | − | 5.19615i | −0.203186 | − | 0.203186i | ||||
\(655\) | −41.5692 | − | 24.0000i | −1.62424 | − | 0.937758i | ||||
\(656\) | 6.00000 | + | 3.46410i | 0.234261 | + | 0.135250i | ||||
\(657\) | 31.5000 | + | 18.1865i | 1.22893 | + | 0.709524i | ||||
\(658\) | 5.36603 | + | 3.63397i | 0.209189 | + | 0.141667i | ||||
\(659\) | 16.4545 | − | 9.50000i | 0.640976 | − | 0.370067i | −0.144015 | − | 0.989576i | \(-0.546001\pi\) |
0.784990 | + | 0.619508i | \(0.212668\pi\) | |||||||
\(660\) | −20.7846 | − | 12.0000i | −0.809040 | − | 0.467099i | ||||
\(661\) | − | 12.1244i | − | 0.471583i | −0.971804 | − | 0.235791i | \(-0.924232\pi\) | ||
0.971804 | − | 0.235791i | \(-0.0757682\pi\) | |||||||
\(662\) | 1.00000 | − | 1.00000i | 0.0388661 | − | 0.0388661i | ||||
\(663\) | −23.3827 | + | 40.5000i | −0.908108 | + | 1.57289i | ||||
\(664\) | 14.1962 | + | 3.80385i | 0.550918 | + | 0.147618i | ||||
\(665\) | 3.00000 | + | 15.5885i | 0.116335 | + | 0.604494i | ||||
\(666\) | −9.00000 | − | 9.00000i | −0.348743 | − | 0.348743i | ||||
\(667\) | −17.3205 | − | 10.0000i | −0.670653 | − | 0.387202i | ||||
\(668\) | 9.00000 | + | 5.19615i | 0.348220 | + | 0.201045i | ||||
\(669\) | −27.0000 | −1.04388 | ||||||||
\(670\) | −11.4115 | + | 42.5885i | −0.440866 | + | 1.64534i | ||||
\(671\) | 5.19615 | − | 9.00000i | 0.200595 | − | 0.347441i | ||||
\(672\) | −23.3205 | + | 11.3205i | −0.899608 | + | 0.436698i | ||||
\(673\) | −19.5000 | − | 33.7750i | −0.751670 | − | 1.30193i | −0.947013 | − | 0.321195i | \(-0.895915\pi\) |
0.195343 | − | 0.980735i | \(-0.437418\pi\) | |||||||
\(674\) | −36.8827 | + | 9.88269i | −1.42067 | + | 0.380667i | ||||
\(675\) | 18.1865 | − | 31.5000i | 0.700000 | − | 1.21244i | ||||
\(676\) | −24.2487 | + | 14.0000i | −0.932643 | + | 0.538462i | ||||
\(677\) | − | 22.5167i | − | 0.865386i | −0.901541 | − | 0.432693i | \(-0.857563\pi\) | ||
0.901541 | − | 0.432693i | \(-0.142437\pi\) | |||||||
\(678\) | −12.0455 | + | 44.9545i | −0.462605 | + | 1.72647i | ||||
\(679\) | −3.46410 | + | 3.00000i | −0.132940 | + | 0.115129i | ||||
\(680\) | −13.1769 | − | 49.1769i | −0.505312 | − | 1.88585i | ||||
\(681\) | 6.00000 | + | 10.3923i | 0.229920 | + | 0.398234i | ||||
\(682\) | −3.80385 | − | 14.1962i | −0.145657 | − | 0.543599i | ||||
\(683\) | 40.7032 | − | 23.5000i | 1.55746 | − | 0.899203i | 0.559966 | − | 0.828516i | \(-0.310814\pi\) |
0.997499 | − | 0.0706868i | \(-0.0225191\pi\) | |||||||
\(684\) | − | 10.3923i | − | 0.397360i | ||||||
\(685\) | − | 27.7128i | − | 1.05885i | ||||||
\(686\) | −25.5885 | − | 5.58846i | −0.976972 | − | 0.213368i | ||||
\(687\) | 6.00000i | 0.228914i | ||||||||
\(688\) | 38.1051 | − | 22.0000i | 1.45274 | − | 0.838742i | ||||
\(689\) | 5.19615i | 0.197958i | ||||||||
\(690\) | −8.78461 | + | 32.7846i | −0.334424 | + | 1.24809i | ||||
\(691\) | −29.4449 | −1.12014 | −0.560068 | − | 0.828447i | \(-0.689225\pi\) | ||||
−0.560068 | + | 0.828447i | \(0.689225\pi\) | |||||||
\(692\) | 38.1051 | 1.44854 | ||||||||
\(693\) | 3.00000 | + | 15.5885i | 0.113961 | + | 0.592157i | ||||
\(694\) | −29.0000 | + | 29.0000i | −1.10082 | + | 1.10082i | ||||
\(695\) | 78.0000i | 2.95871i | ||||||||
\(696\) | 17.3205 | − | 17.3205i | 0.656532 | − | 0.656532i | ||||
\(697\) | 9.00000 | 0.340899 | ||||||||
\(698\) | 21.2942 | + | 5.70577i | 0.805998 | + | 0.215967i | ||||
\(699\) | −0.866025 | − | 1.50000i | −0.0327561 | − | 0.0567352i | ||||
\(700\) | 35.0000 | + | 12.1244i | 1.32288 | + | 0.458258i | ||||
\(701\) | −16.0000 | −0.604312 | −0.302156 | − | 0.953259i | \(-0.597706\pi\) | ||||
−0.302156 | + | 0.953259i | \(0.597706\pi\) | |||||||
\(702\) | 9.88269 | + | 36.8827i | 0.372998 | + | 1.39205i | ||||
\(703\) | 2.59808 | + | 4.50000i | 0.0979883 | + | 0.169721i | ||||
\(704\) | −8.00000 | + | 13.8564i | −0.301511 | + | 0.522233i | ||||
\(705\) | 10.3923i | 0.391397i | ||||||||
\(706\) | −3.80385 | − | 14.1962i | −0.143160 | − | 0.534279i | ||||
\(707\) | −43.3013 | − | 15.0000i | −1.62851 | − | 0.564133i | ||||
\(708\) | −5.19615 | − | 3.00000i | −0.195283 | − | 0.112747i | ||||
\(709\) | −33.0000 | −1.23934 | −0.619671 | − | 0.784862i | \(-0.712734\pi\) | ||||
−0.619671 | + | 0.784862i | \(0.712734\pi\) | |||||||
\(710\) | 2.53590 | − | 9.46410i | 0.0951706 | − | 0.355181i | ||||
\(711\) | −7.79423 | + | 4.50000i | −0.292306 | + | 0.168763i | ||||
\(712\) | 23.6603 | − | 6.33975i | 0.886706 | − | 0.237592i | ||||
\(713\) | −18.0000 | + | 10.3923i | −0.674105 | + | 0.389195i | ||||
\(714\) | −18.8827 | + | 27.8827i | −0.706667 | + | 1.04348i | ||||
\(715\) | −31.1769 | − | 18.0000i | −1.16595 | − | 0.673162i | ||||
\(716\) | −5.00000 | − | 8.66025i | −0.186859 | − | 0.323649i | ||||
\(717\) | 16.5000 | − | 9.52628i | 0.616204 | − | 0.355765i | ||||
\(718\) | 6.22243 | + | 23.2224i | 0.232219 | + | 0.866653i | ||||
\(719\) | −9.52628 | + | 16.5000i | −0.355270 | + | 0.615346i | −0.987164 | − | 0.159709i | \(-0.948944\pi\) |
0.631894 | + | 0.775055i | \(0.282278\pi\) | |||||||
\(720\) | −36.0000 | − | 20.7846i | −1.34164 | − | 0.774597i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 5.85641 | − | 21.8564i | 0.217953 | − | 0.813411i | ||||
\(723\) | 5.19615 | − | 3.00000i | 0.193247 | − | 0.111571i | ||||
\(724\) | 34.6410 | 1.28742 | ||||||||
\(725\) | −35.0000 | −1.29987 | ||||||||
\(726\) | −12.1244 | − | 12.1244i | −0.449977 | − | 0.449977i | ||||
\(727\) | 4.33013 | + | 7.50000i | 0.160596 | + | 0.278160i | 0.935082 | − | 0.354430i | \(-0.115325\pi\) |
−0.774487 | + | 0.632590i | \(0.781992\pi\) | |||||||
\(728\) | −34.9808 | + | 16.9808i | −1.29647 | + | 0.629349i | ||||
\(729\) | 27.0000 | 1.00000 | ||||||||
\(730\) | −57.3731 | + | 15.3731i | −2.12347 | + | 0.568983i | ||||
\(731\) | 28.5788 | − | 49.5000i | 1.05703 | − | 1.83082i | ||||
\(732\) | 9.00000 | − | 15.5885i | 0.332650 | − | 0.576166i | ||||
\(733\) | −18.0000 | + | 10.3923i | −0.664845 | + | 0.383849i | −0.794121 | − | 0.607760i | \(-0.792068\pi\) |
0.129275 | + | 0.991609i | \(0.458735\pi\) | |||||||
\(734\) | −47.3205 | + | 12.6795i | −1.74663 | + | 0.468009i | ||||
\(735\) | −15.5885 | − | 39.0000i | −0.574989 | − | 1.43854i | ||||
\(736\) | 21.8564 | + | 5.85641i | 0.805638 | + | 0.215870i | ||||
\(737\) | 9.00000 | − | 15.5885i | 0.331519 | − | 0.574208i | ||||
\(738\) | 5.19615 | − | 5.19615i | 0.191273 | − | 0.191273i | ||||
\(739\) | 44.1673 | − | 25.5000i | 1.62472 | − | 0.938033i | 0.639087 | − | 0.769135i | \(-0.279313\pi\) |
0.985634 | − | 0.168898i | \(-0.0540208\pi\) | |||||||
\(740\) | 20.7846 | 0.764057 | ||||||||
\(741\) | − | 15.5885i | − | 0.572656i | ||||||
\(742\) | −0.267949 | + | 3.73205i | −0.00983672 | + | 0.137008i | ||||
\(743\) | −25.1147 | − | 14.5000i | −0.921370 | − | 0.531953i | −0.0372984 | − | 0.999304i | \(-0.511875\pi\) |
−0.884072 | + | 0.467351i | \(0.845209\pi\) | |||||||
\(744\) | −6.58846 | − | 24.5885i | −0.241545 | − | 0.901457i | ||||
\(745\) | −12.0000 | − | 6.92820i | −0.439646 | − | 0.253830i | ||||
\(746\) | 9.51666 | − | 35.5167i | 0.348430 | − | 1.30036i | ||||
\(747\) | 7.79423 | − | 13.5000i | 0.285176 | − | 0.493939i | ||||
\(748\) | 20.7846i | 0.759961i | ||||||||
\(749\) | 17.5000 | + | 6.06218i | 0.639436 | + | 0.221507i | ||||
\(750\) | 4.39230 | + | 16.3923i | 0.160384 | + | 0.598562i | ||||
\(751\) | −1.73205 | + | 1.00000i | −0.0632034 | + | 0.0364905i | −0.531269 | − | 0.847203i | \(-0.678285\pi\) |
0.468065 | + | 0.883694i | \(0.344951\pi\) | |||||||
\(752\) | 6.92820 | 0.252646 | ||||||||
\(753\) | 3.00000 | − | 5.19615i | 0.109326 | − | 0.189358i | ||||
\(754\) | 25.9808 | − | 25.9808i | 0.946164 | − | 0.946164i | ||||
\(755\) | 48.4974 | 1.76500 | ||||||||
\(756\) | 5.19615 | + | 27.0000i | 0.188982 | + | 0.981981i | ||||
\(757\) | −24.0000 | −0.872295 | −0.436147 | − | 0.899875i | \(-0.643657\pi\) | ||||
−0.436147 | + | 0.899875i | \(0.643657\pi\) | |||||||
\(758\) | 14.0000 | − | 14.0000i | 0.508503 | − | 0.508503i | ||||
\(759\) | 6.92820 | − | 12.0000i | 0.251478 | − | 0.435572i | ||||
\(760\) | 12.0000 | + | 12.0000i | 0.435286 | + | 0.435286i | ||||
\(761\) | −9.00000 | + | 5.19615i | −0.326250 | + | 0.188360i | −0.654175 | − | 0.756343i | \(-0.726984\pi\) |
0.327925 | + | 0.944704i | \(0.393651\pi\) | |||||||
\(762\) | −3.80385 | − | 14.1962i | −0.137799 | − | 0.514272i | ||||
\(763\) | −5.19615 | − | 6.00000i | −0.188113 | − | 0.217215i | ||||
\(764\) | 14.0000 | 0.506502 | ||||||||
\(765\) | −54.0000 | −1.95237 | ||||||||
\(766\) | 2.53590 | − | 9.46410i | 0.0916257 | − | 0.341952i | ||||
\(767\) | −7.79423 | − | 4.50000i | −0.281433 | − | 0.162486i | ||||
\(768\) | −13.8564 | + | 24.0000i | −0.500000 | + | 0.866025i | ||||
\(769\) | 7.50000 | + | 4.33013i | 0.270457 | + | 0.156148i | 0.629095 | − | 0.777328i | \(-0.283426\pi\) |
−0.358638 | + | 0.933477i | \(0.616759\pi\) | |||||||
\(770\) | −21.4641 | − | 14.5359i | −0.773513 | − | 0.523837i | ||||
\(771\) | − | 24.0000i | − | 0.864339i | ||||||
\(772\) | − | 18.0000i | − | 0.647834i | ||||||
\(773\) | 1.50000 | − | 0.866025i | 0.0539513 | − | 0.0311488i | −0.472782 | − | 0.881180i | \(-0.656750\pi\) |
0.526733 | + | 0.850031i | \(0.323417\pi\) | |||||||
\(774\) | −12.0788 | − | 45.0788i | −0.434165 | − | 1.62033i | ||||
\(775\) | −18.1865 | + | 31.5000i | −0.653280 | + | 1.13151i | ||||
\(776\) | −1.26795 | + | 4.73205i | −0.0455167 | + | 0.169871i | ||||
\(777\) | −9.00000 | − | 10.3923i | −0.322873 | − | 0.372822i | ||||
\(778\) | −43.7128 | + | 11.7128i | −1.56718 | + | 0.419925i | ||||
\(779\) | −2.59808 | + | 1.50000i | −0.0930857 | + | 0.0537431i | ||||
\(780\) | −54.0000 | − | 31.1769i | −1.93351 | − | 1.11631i | ||||
\(781\) | −2.00000 | + | 3.46410i | −0.0715656 | + | 0.123955i | ||||
\(782\) | 28.3923 | − | 7.60770i | 1.01531 | − | 0.272051i | ||||
\(783\) | −12.9904 | − | 22.5000i | −0.464238 | − | 0.804084i | ||||
\(784\) | −26.0000 | + | 10.3923i | −0.928571 | + | 0.371154i | ||||
\(785\) | −21.0000 | − | 36.3731i | −0.749522 | − | 1.29821i | ||||
\(786\) | 24.0000 | + | 24.0000i | 0.856052 | + | 0.856052i | ||||
\(787\) | −50.2295 | −1.79049 | −0.895244 | − | 0.445577i | \(-0.852999\pi\) | ||||
−0.895244 | + | 0.445577i | \(0.852999\pi\) | |||||||
\(788\) | − | 20.0000i | − | 0.712470i | ||||||
\(789\) | −39.0000 | + | 22.5167i | −1.38844 | + | 0.801614i | ||||
\(790\) | 3.80385 | − | 14.1962i | 0.135335 | − | 0.505076i | ||||
\(791\) | −16.4545 | + | 47.5000i | −0.585054 | + | 1.68891i | ||||
\(792\) | 12.0000 | + | 12.0000i | 0.426401 | + | 0.426401i | ||||
\(793\) | 13.5000 | − | 23.3827i | 0.479399 | − | 0.830344i | ||||
\(794\) | 6.97372 | + | 26.0263i | 0.247488 | + | 0.923638i | ||||
\(795\) | −5.19615 | + | 3.00000i | −0.184289 | + | 0.106399i | ||||
\(796\) | −3.00000 | + | 1.73205i | −0.106332 | + | 0.0613909i | ||||
\(797\) | 22.5000 | + | 12.9904i | 0.796991 | + | 0.460143i | 0.842418 | − | 0.538825i | \(-0.181132\pi\) |
−0.0454270 | + | 0.998968i | \(0.514465\pi\) | |||||||
\(798\) | 0.803848 | − | 11.1962i | 0.0284559 | − | 0.396339i | ||||
\(799\) | 7.79423 | − | 4.50000i | 0.275740 | − | 0.159199i | ||||
\(800\) | 38.2487 | − | 10.2487i | 1.35230 | − | 0.362347i | ||||
\(801\) | − | 25.9808i | − | 0.917985i | ||||||
\(802\) | −2.92820 | + | 10.9282i | −0.103398 | + | 0.385888i | ||||
\(803\) | 24.2487 | 0.855718 | ||||||||
\(804\) | 15.5885 | − | 27.0000i | 0.549762 | − | 0.952217i | ||||
\(805\) | −12.0000 | + | 34.6410i | −0.422944 | + | 1.22094i | ||||
\(806\) | −9.88269 | − | 36.8827i | −0.348103 | − | 1.29914i | ||||
\(807\) | 51.0000i | 1.79529i | ||||||||
\(808\) | −47.3205 | + | 12.6795i | −1.66473 | + | 0.446063i | ||||
\(809\) | −11.5000 | − | 19.9186i | −0.404318 | − | 0.700300i | 0.589923 | − | 0.807459i | \(-0.299158\pi\) |
−0.994242 | + | 0.107159i | \(0.965825\pi\) | |||||||
\(810\) | −31.1769 | + | 31.1769i | −1.09545 | + | 1.09545i | ||||
\(811\) | 6.92820 | 0.243282 | 0.121641 | − | 0.992574i | \(-0.461184\pi\) | ||||
0.121641 | + | 0.992574i | \(0.461184\pi\) | |||||||
\(812\) | 20.0000 | − | 17.3205i | 0.701862 | − | 0.607831i | ||||
\(813\) | 4.50000 | + | 7.79423i | 0.157822 | + | 0.273356i | ||||
\(814\) | −8.19615 | − | 2.19615i | −0.287275 | − | 0.0769751i | ||||
\(815\) | 31.1769 | 1.09208 | ||||||||
\(816\) | 36.0000i | 1.26025i | ||||||||
\(817\) | 19.0526i | 0.666565i | ||||||||
\(818\) | −15.5885 | + | 15.5885i | −0.545038 | + | 0.545038i | ||||
\(819\) | 7.79423 | + | 40.5000i | 0.272352 | + | 1.41518i | ||||
\(820\) | 12.0000i | 0.419058i | ||||||||
\(821\) | −55.0000 | −1.91951 | −0.959757 | − | 0.280833i | \(-0.909389\pi\) | ||||
−0.959757 | + | 0.280833i | \(0.909389\pi\) | |||||||
\(822\) | −5.07180 | + | 18.9282i | −0.176899 | + | 0.660197i | ||||
\(823\) | 21.0000i | 0.732014i | 0.930612 | + | 0.366007i | \(0.119275\pi\) | ||||
−0.930612 | + | 0.366007i | \(0.880725\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | − | 24.2487i | − | 0.844232i | ||||||
\(826\) | −5.36603 | − | 3.63397i | −0.186708 | − | 0.126442i | ||||
\(827\) | 10.0000i | 0.347734i | 0.984769 | + | 0.173867i | \(0.0556263\pi\) | ||||
−0.984769 | + | 0.173867i | \(0.944374\pi\) | |||||||
\(828\) | 12.0000 | − | 20.7846i | 0.417029 | − | 0.722315i | ||||
\(829\) | 10.5000 | − | 6.06218i | 0.364680 | − | 0.210548i | −0.306452 | − | 0.951886i | \(-0.599142\pi\) |
0.671132 | + | 0.741338i | \(0.265808\pi\) | |||||||
\(830\) | 6.58846 | + | 24.5885i | 0.228689 | + | 0.853478i | ||||
\(831\) | 3.46410 | + | 6.00000i | 0.120168 | + | 0.208138i | ||||
\(832\) | −20.7846 | + | 36.0000i | −0.720577 | + | 1.24808i | ||||
\(833\) | −22.5000 | + | 28.5788i | −0.779579 | + | 0.990198i | ||||
\(834\) | 14.2750 | − | 53.2750i | 0.494303 | − | 1.84476i | ||||
\(835\) | 18.0000i | 0.622916i | ||||||||
\(836\) | −3.46410 | − | 6.00000i | −0.119808 | − | 0.207514i | ||||
\(837\) | −27.0000 | −0.933257 | ||||||||
\(838\) | 21.2942 | − | 5.70577i | 0.735597 | − | 0.197103i | ||||
\(839\) | −9.52628 | − | 16.5000i | −0.328884 | − | 0.569643i | 0.653407 | − | 0.757007i | \(-0.273339\pi\) |
−0.982291 | + | 0.187364i | \(0.940006\pi\) | |||||||
\(840\) | −37.1769 | − | 25.1769i | −1.28273 | − | 0.868686i | ||||
\(841\) | 2.00000 | − | 3.46410i | 0.0689655 | − | 0.119452i | ||||
\(842\) | 8.41858 | − | 31.4186i | 0.290124 | − | 1.08276i | ||||
\(843\) | −8.66025 | −0.298275 | ||||||||
\(844\) | −25.0000 | + | 43.3013i | −0.860535 | + | 1.49049i | ||||
\(845\) | −42.0000 | − | 24.2487i | −1.44484 | − | 0.834181i | ||||
\(846\) | 1.90192 | − | 7.09808i | 0.0653895 | − | 0.244037i | ||||
\(847\) | −12.1244 | − | 14.0000i | −0.416598 | − | 0.481046i | ||||
\(848\) | 2.00000 | + | 3.46410i | 0.0686803 | + | 0.118958i | ||||
\(849\) | −7.50000 | + | 12.9904i | −0.257399 | + | 0.445829i | ||||
\(850\) | 36.3731 | − | 36.3731i | 1.24759 | − | 1.24759i | ||||
\(851\) | 12.0000i | 0.411355i | ||||||||
\(852\) | −3.46410 | + | 6.00000i | −0.118678 | + | 0.205557i | ||||
\(853\) | 22.5000 | − | 12.9904i | 0.770385 | − | 0.444782i | −0.0626267 | − | 0.998037i | \(-0.519948\pi\) |
0.833012 | + | 0.553255i | \(0.186614\pi\) | |||||||
\(854\) | 10.9019 | − | 16.0981i | 0.373056 | − | 0.550865i | ||||
\(855\) | 15.5885 | − | 9.00000i | 0.533114 | − | 0.307794i | ||||
\(856\) | 19.1244 | − | 5.12436i | 0.653657 | − | 0.175147i | ||||
\(857\) | 21.0000 | + | 12.1244i | 0.717346 | + | 0.414160i | 0.813775 | − | 0.581180i | \(-0.197409\pi\) |
−0.0964289 | + | 0.995340i | \(0.530742\pi\) | |||||||
\(858\) | 18.0000 | + | 18.0000i | 0.614510 | + | 0.614510i | ||||
\(859\) | −13.8564 | − | 24.0000i | −0.472774 | − | 0.818869i | 0.526740 | − | 0.850026i | \(-0.323414\pi\) |
−0.999515 | + | 0.0311570i | \(0.990081\pi\) | |||||||
\(860\) | 66.0000 | + | 38.1051i | 2.25058 | + | 1.29937i | ||||
\(861\) | 6.00000 | − | 5.19615i | 0.204479 | − | 0.177084i | ||||
\(862\) | −6.83013 | − | 1.83013i | −0.232635 | − | 0.0623344i | ||||
\(863\) | 30.3109 | + | 17.5000i | 1.03179 | + | 0.595707i | 0.917498 | − | 0.397740i | \(-0.130205\pi\) |
0.114296 | + | 0.993447i | \(0.463539\pi\) | |||||||
\(864\) | 20.7846 | + | 20.7846i | 0.707107 | + | 0.707107i | ||||
\(865\) | 33.0000 | + | 57.1577i | 1.12203 | + | 1.94342i | ||||
\(866\) | −27.7128 | + | 27.7128i | −0.941720 | + | 0.941720i | ||||
\(867\) | 8.66025 | + | 15.0000i | 0.294118 | + | 0.509427i | ||||
\(868\) | −5.19615 | − | 27.0000i | −0.176369 | − | 0.916440i | ||||
\(869\) | −3.00000 | + | 5.19615i | −0.101768 | + | 0.176267i | ||||
\(870\) | 40.9808 | + | 10.9808i | 1.38938 | + | 0.372283i | ||||
\(871\) | 23.3827 | − | 40.5000i | 0.792292 | − | 1.37229i | ||||
\(872\) | −8.19615 | − | 2.19615i | −0.277557 | − | 0.0743711i | ||||
\(873\) | 4.50000 | + | 2.59808i | 0.152302 | + | 0.0879316i | ||||
\(874\) | −6.92820 | + | 6.92820i | −0.234350 | + | 0.234350i | ||||
\(875\) | 3.46410 | + | 18.0000i | 0.117108 | + | 0.608511i | ||||
\(876\) | 42.0000 | 1.41905 | ||||||||
\(877\) | −8.00000 | − | 13.8564i | −0.270141 | − | 0.467898i | 0.698757 | − | 0.715359i | \(-0.253737\pi\) |
−0.968898 | + | 0.247462i | \(0.920404\pi\) | |||||||
\(878\) | −12.1244 | − | 12.1244i | −0.409177 | − | 0.409177i | ||||
\(879\) | 7.79423 | − | 4.50000i | 0.262893 | − | 0.151781i | ||||
\(880\) | −27.7128 | −0.934199 | ||||||||
\(881\) | − | 24.2487i | − | 0.816960i | −0.912767 | − | 0.408480i | \(-0.866059\pi\) | ||
0.912767 | − | 0.408480i | \(-0.133941\pi\) | |||||||
\(882\) | 3.50962 | + | 29.4904i | 0.118175 | + | 0.992993i | ||||
\(883\) | − | 14.0000i | − | 0.471138i | −0.971858 | − | 0.235569i | \(-0.924305\pi\) | ||
0.971858 | − | 0.235569i | \(-0.0756953\pi\) | |||||||
\(884\) | 54.0000i | 1.81622i | ||||||||
\(885\) | − | 10.3923i | − | 0.349334i | ||||||
\(886\) | 31.0000 | − | 31.0000i | 1.04147 | − | 1.04147i | ||||
\(887\) | 19.0526 | + | 33.0000i | 0.639722 | + | 1.10803i | 0.985494 | + | 0.169713i | \(0.0542840\pi\) |
−0.345771 | + | 0.938319i | \(0.612383\pi\) | |||||||
\(888\) | −14.1962 | − | 3.80385i | −0.476392 | − | 0.127649i | ||||
\(889\) | −3.00000 | − | 15.5885i | −0.100617 | − | 0.522820i | ||||
\(890\) | 30.0000 | + | 30.0000i | 1.00560 | + | 1.00560i | ||||
\(891\) | 15.5885 | − | 9.00000i | 0.522233 | − | 0.301511i | ||||
\(892\) | −27.0000 | + | 15.5885i | −0.904027 | + | 0.521940i | ||||
\(893\) | −1.50000 | + | 2.59808i | −0.0501956 | + | 0.0869413i | ||||
\(894\) | 6.92820 | + | 6.92820i | 0.231714 | + | 0.231714i | ||||
\(895\) | 8.66025 | − | 15.0000i | 0.289480 | − | 0.501395i | ||||
\(896\) | −16.7846 | + | 24.7846i | −0.560734 | + | 0.827996i | ||||
\(897\) | 18.0000 | − | 31.1769i | 0.601003 | − | 1.04097i | ||||
\(898\) | 26.0000 | + | 26.0000i | 0.867631 | + | 0.867631i | ||||
\(899\) | 12.9904 | + | 22.5000i | 0.433253 | + | 0.750417i | ||||
\(900\) | − | 42.0000i | − | 1.40000i | ||||||
\(901\) | 4.50000 | + | 2.59808i | 0.149917 | + | 0.0865545i | ||||
\(902\) | 1.26795 | − | 4.73205i | 0.0422181 | − | 0.157560i | ||||
\(903\) | −9.52628 | − | 49.5000i | −0.317015 | − | 1.64726i | ||||
\(904\) | 13.9090 | + | 51.9090i | 0.462605 | + | 1.72647i | ||||
\(905\) | 30.0000 | + | 51.9615i | 0.997234 | + | 1.72726i | ||||
\(906\) | −33.1244 | − | 8.87564i | −1.10048 | − | 0.294874i | ||||
\(907\) | 1.73205 | + | 1.00000i | 0.0575118 | + | 0.0332045i | 0.528480 | − | 0.848946i | \(-0.322762\pi\) |
−0.470968 | + | 0.882150i | \(0.656095\pi\) | |||||||
\(908\) | 12.0000 | + | 6.92820i | 0.398234 | + | 0.229920i | ||||
\(909\) | 51.9615i | 1.72345i | ||||||||
\(910\) | −55.7654 | − | 37.7654i | −1.84860 | − | 1.25191i | ||||
\(911\) | 11.2583 | − | 6.50000i | 0.373005 | − | 0.215355i | −0.301765 | − | 0.953382i | \(-0.597576\pi\) |
0.674771 | + | 0.738028i | \(0.264243\pi\) | |||||||
\(912\) | −6.00000 | − | 10.3923i | −0.198680 | − | 0.344124i | ||||
\(913\) | − | 10.3923i | − | 0.343935i | ||||||
\(914\) | −3.00000 | − | 3.00000i | −0.0992312 | − | 0.0992312i | ||||
\(915\) | 31.1769 | 1.03068 | ||||||||
\(916\) | 3.46410 | + | 6.00000i | 0.114457 | + | 0.198246i | ||||
\(917\) | 24.0000 | + | 27.7128i | 0.792550 | + | 0.915158i | ||||
\(918\) | 36.8827 | + | 9.88269i | 1.21731 | + | 0.326177i | ||||
\(919\) | 4.33013 | + | 2.50000i | 0.142838 | + | 0.0824674i | 0.569716 | − | 0.821842i | \(-0.307053\pi\) |
−0.426878 | + | 0.904309i | \(0.640387\pi\) | |||||||
\(920\) | 10.1436 | + | 37.8564i | 0.334424 | + | 1.24809i | ||||
\(921\) | 15.0000 | − | 25.9808i | 0.494267 | − | 0.856095i | ||||
\(922\) | 44.9545 | + | 12.0455i | 1.48050 | + | 0.396698i | ||||
\(923\) | −5.19615 | + | 9.00000i | −0.171033 | + | 0.296239i | ||||
\(924\) | 12.0000 | + | 13.8564i | 0.394771 | + | 0.455842i | ||||
\(925\) | 10.5000 | + | 18.1865i | 0.345238 | + | 0.597970i | ||||
\(926\) | −12.0788 | − | 45.0788i | −0.396935 | − | 1.48138i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 7.32051 | − | 27.3205i | 0.240307 | − | 0.896840i | ||||
\(929\) | − | 22.5167i | − | 0.738748i | −0.929281 | − | 0.369374i | \(-0.879572\pi\) | ||
0.929281 | − | 0.369374i | \(-0.120428\pi\) | |||||||
\(930\) | 31.1769 | − | 31.1769i | 1.02233 | − | 1.02233i | ||||
\(931\) | 1.73205 | − | 12.0000i | 0.0567657 | − | 0.393284i | ||||
\(932\) | −1.73205 | − | 1.00000i | −0.0567352 | − | 0.0327561i | ||||
\(933\) | 19.5000 | − | 33.7750i | 0.638401 | − | 1.10574i | ||||
\(934\) | 2.36603 | − | 0.633975i | 0.0774187 | − | 0.0207443i | ||||
\(935\) | −31.1769 | + | 18.0000i | −1.01959 | + | 0.588663i | ||||
\(936\) | 31.1769 | + | 31.1769i | 1.01905 | + | 1.01905i | ||||
\(937\) | 3.46410i | 0.113167i | 0.998398 | + | 0.0565836i | \(0.0180208\pi\) | ||||
−0.998398 | + | 0.0565836i | \(0.981979\pi\) | |||||||
\(938\) | 18.8827 | − | 27.8827i | 0.616542 | − | 0.910402i | ||||
\(939\) | −33.7750 | − | 19.5000i | −1.10221 | − | 0.636358i | ||||
\(940\) | 6.00000 | + | 10.3923i | 0.195698 | + | 0.338960i | ||||
\(941\) | 25.9808i | 0.846949i | 0.905908 | + | 0.423474i | \(0.139190\pi\) | ||||
−0.905908 | + | 0.423474i | \(0.860810\pi\) | |||||||
\(942\) | 7.68653 | + | 28.6865i | 0.250441 | + | 0.934658i | ||||
\(943\) | −6.92820 | −0.225613 | ||||||||
\(944\) | −6.92820 | −0.225494 | ||||||||
\(945\) | −36.0000 | + | 31.1769i | −1.17108 | + | 1.01419i | ||||
\(946\) | −22.0000 | − | 22.0000i | −0.715282 | − | 0.715282i | ||||
\(947\) | − | 43.0000i | − | 1.39731i | −0.715458 | − | 0.698656i | \(-0.753782\pi\) | ||
0.715458 | − | 0.698656i | \(-0.246218\pi\) | |||||||
\(948\) | −5.19615 | + | 9.00000i | −0.168763 | + | 0.292306i | ||||
\(949\) | 63.0000 | 2.04507 | ||||||||
\(950\) | −4.43782 | + | 16.5622i | −0.143982 | + | 0.537348i | ||||
\(951\) | −16.4545 | + | 28.5000i | −0.533573 | + | 0.924176i | ||||
\(952\) | −2.78461 | + | 38.7846i | −0.0902497 | + | 1.25702i | ||||
\(953\) | 44.0000 | 1.42530 | 0.712650 | − | 0.701520i | \(-0.247495\pi\) | ||||
0.712650 | + | 0.701520i | \(0.247495\pi\) | |||||||
\(954\) | 4.09808 | − | 1.09808i | 0.132680 | − | 0.0355515i | ||||
\(955\) | 12.1244 | + | 21.0000i | 0.392335 | + | 0.679544i | ||||
\(956\) | 11.0000 | − | 19.0526i | 0.355765 | − | 0.616204i | ||||
\(957\) | −15.0000 | − | 8.66025i | −0.484881 | − | 0.279946i | ||||
\(958\) | 28.3923 | − | 7.60770i | 0.917314 | − | 0.245793i | ||||
\(959\) | −6.92820 | + | 20.0000i | −0.223723 | + | 0.645834i | ||||
\(960\) | −48.0000 | −1.54919 | ||||||||
\(961\) | −4.00000 | −0.129032 | ||||||||
\(962\) | −21.2942 | − | 5.70577i | −0.686553 | − | 0.183961i | ||||
\(963\) | − | 21.0000i | − | 0.676716i | ||||||
\(964\) | 3.46410 | − | 6.00000i | 0.111571 | − | 0.193247i | ||||
\(965\) | 27.0000 | − | 15.5885i | 0.869161 | − | 0.501810i | ||||
\(966\) | 14.5359 | − | 21.4641i | 0.467685 | − | 0.690596i | ||||
\(967\) | −49.3634 | − | 28.5000i | −1.58742 | − | 0.916498i | −0.993730 | − | 0.111805i | \(-0.964337\pi\) |
−0.593691 | − | 0.804693i | \(-0.702330\pi\) | |||||||
\(968\) | −19.1244 | − | 5.12436i | −0.614680 | − | 0.164703i | ||||
\(969\) | −13.5000 | − | 7.79423i | −0.433682 | − | 0.250387i | ||||
\(970\) | −8.19615 | + | 2.19615i | −0.263163 | + | 0.0705142i | ||||
\(971\) | 2.59808 | − | 4.50000i | 0.0833762 | − | 0.144412i | −0.821322 | − | 0.570465i | \(-0.806763\pi\) |
0.904698 | + | 0.426053i | \(0.140096\pi\) | |||||||
\(972\) | 27.0000 | − | 15.5885i | 0.866025 | − | 0.500000i | ||||
\(973\) | 19.5000 | − | 56.2917i | 0.625141 | − | 1.80463i | ||||
\(974\) | 31.4186 | + | 8.41858i | 1.00672 | + | 0.269749i | ||||
\(975\) | − | 63.0000i | − | 2.01761i | ||||||
\(976\) | − | 20.7846i | − | 0.665299i | ||||||
\(977\) | −47.0000 | −1.50366 | −0.751832 | − | 0.659355i | \(-0.770829\pi\) | ||||
−0.751832 | + | 0.659355i | \(0.770829\pi\) | |||||||
\(978\) | −21.2942 | − | 5.70577i | −0.680914 | − | 0.182450i | ||||
\(979\) | −8.66025 | − | 15.0000i | −0.276783 | − | 0.479402i | ||||
\(980\) | −38.1051 | − | 30.0000i | −1.21722 | − | 0.958315i | ||||
\(981\) | −4.50000 | + | 7.79423i | −0.143674 | + | 0.248851i | ||||
\(982\) | −6.95448 | − | 25.9545i | −0.221926 | − | 0.828241i | ||||
\(983\) | −8.66025 | + | 15.0000i | −0.276219 | + | 0.478426i | −0.970442 | − | 0.241334i | \(-0.922415\pi\) |
0.694223 | + | 0.719760i | \(0.255748\pi\) | |||||||
\(984\) | 2.19615 | − | 8.19615i | 0.0700108 | − | 0.261284i | ||||
\(985\) | 30.0000 | − | 17.3205i | 0.955879 | − | 0.551877i | ||||
\(986\) | −9.50962 | − | 35.4904i | −0.302848 | − | 1.13024i | ||||
\(987\) | 2.59808 | − | 7.50000i | 0.0826977 | − | 0.238728i | ||||
\(988\) | −9.00000 | − | 15.5885i | −0.286328 | − | 0.495935i | ||||
\(989\) | −22.0000 | + | 38.1051i | −0.699559 | + | 1.21167i | ||||
\(990\) | −7.60770 | + | 28.3923i | −0.241788 | + | 0.902367i | ||||
\(991\) | −42.4352 | + | 24.5000i | −1.34800 | + | 0.778268i | −0.987966 | − | 0.154671i | \(-0.950568\pi\) |
−0.360034 | + | 0.932939i | \(0.617235\pi\) | |||||||
\(992\) | −20.7846 | − | 20.7846i | −0.659912 | − | 0.659912i | ||||
\(993\) | −1.50000 | − | 0.866025i | −0.0476011 | − | 0.0274825i | ||||
\(994\) | −4.19615 | + | 6.19615i | −0.133094 | + | 0.196530i | ||||
\(995\) | −5.19615 | − | 3.00000i | −0.164729 | − | 0.0951064i | ||||
\(996\) | − | 18.0000i | − | 0.570352i | ||||||
\(997\) | 21.0000 | + | 12.1244i | 0.665077 | + | 0.383982i | 0.794209 | − | 0.607645i | \(-0.207886\pi\) |
−0.129132 | + | 0.991627i | \(0.541219\pi\) | |||||||
\(998\) | −2.73205 | − | 0.732051i | −0.0864816 | − | 0.0231727i | ||||
\(999\) | −7.79423 | + | 13.5000i | −0.246598 | + | 0.427121i |
(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 | 252.2.bj.a.103.1 | yes | 4 | |
3.2 | odd | 2 | 756.2.bj.a.523.2 | 4 | |||
4.3 | odd | 2 | inner | 252.2.bj.a.103.2 | yes | 4 | |
7.3 | odd | 6 | 252.2.n.a.31.2 | yes | 4 | ||
9.2 | odd | 6 | 756.2.n.a.19.2 | 4 | |||
9.7 | even | 3 | 252.2.n.a.187.1 | yes | 4 | ||
12.11 | even | 2 | 756.2.bj.a.523.1 | 4 | |||
21.17 | even | 6 | 756.2.n.a.199.1 | 4 | |||
28.3 | even | 6 | 252.2.n.a.31.1 | ✓ | 4 | ||
36.7 | odd | 6 | 252.2.n.a.187.2 | yes | 4 | ||
36.11 | even | 6 | 756.2.n.a.19.1 | 4 | |||
63.38 | even | 6 | 756.2.bj.a.451.2 | 4 | |||
63.52 | odd | 6 | inner | 252.2.bj.a.115.1 | yes | 4 | |
84.59 | odd | 6 | 756.2.n.a.199.2 | 4 | |||
252.115 | even | 6 | inner | 252.2.bj.a.115.2 | yes | 4 | |
252.227 | odd | 6 | 756.2.bj.a.451.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.n.a.31.1 | ✓ | 4 | 28.3 | even | 6 | ||
252.2.n.a.31.2 | yes | 4 | 7.3 | odd | 6 | ||
252.2.n.a.187.1 | yes | 4 | 9.7 | even | 3 | ||
252.2.n.a.187.2 | yes | 4 | 36.7 | odd | 6 | ||
252.2.bj.a.103.1 | yes | 4 | 1.1 | even | 1 | trivial | |
252.2.bj.a.103.2 | yes | 4 | 4.3 | odd | 2 | inner | |
252.2.bj.a.115.1 | yes | 4 | 63.52 | odd | 6 | inner | |
252.2.bj.a.115.2 | yes | 4 | 252.115 | even | 6 | inner | |
756.2.n.a.19.1 | 4 | 36.11 | even | 6 | |||
756.2.n.a.19.2 | 4 | 9.2 | odd | 6 | |||
756.2.n.a.199.1 | 4 | 21.17 | even | 6 | |||
756.2.n.a.199.2 | 4 | 84.59 | odd | 6 | |||
756.2.bj.a.451.1 | 4 | 252.227 | odd | 6 | |||
756.2.bj.a.451.2 | 4 | 63.38 | even | 6 | |||
756.2.bj.a.523.1 | 4 | 12.11 | even | 2 | |||
756.2.bj.a.523.2 | 4 | 3.2 | odd | 2 |