Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [13,3,Mod(2,13)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(13, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("13.2");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 13 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 13.f (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: | \(0.354224343668\) |
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: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.1 | ||
Root | \(-0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 13.11 |
Dual form | 13.3.f.a.6.1 |
$q$-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 \(\left(\mathbb{Z}/13\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | + | 1.86603i | −0.250000 | + | 0.933013i | 0.720804 | + | 0.693139i | \(0.243773\pi\) |
−0.970804 | + | 0.239874i | \(0.922894\pi\) | |||||||
\(3\) | −1.36603 | − | 2.36603i | −0.455342 | − | 0.788675i | 0.543366 | − | 0.839496i | \(-0.317150\pi\) |
−0.998708 | + | 0.0508208i | \(0.983816\pi\) | |||||||
\(4\) | 0.232051 | + | 0.133975i | 0.0580127 | + | 0.0334936i | ||||
\(5\) | −4.36603 | − | 4.36603i | −0.873205 | − | 0.873205i | 0.119615 | − | 0.992820i | \(-0.461834\pi\) |
−0.992820 | + | 0.119615i | \(0.961834\pi\) | |||||||
\(6\) | 5.09808 | − | 1.36603i | 0.849679 | − | 0.227671i | ||||
\(7\) | 2.26795 | + | 8.46410i | 0.323993 | + | 1.20916i | 0.915321 | + | 0.402726i | \(0.131937\pi\) |
−0.591328 | + | 0.806431i | \(0.701396\pi\) | |||||||
\(8\) | −5.83013 | + | 5.83013i | −0.728766 | + | 0.728766i | ||||
\(9\) | 0.767949 | − | 1.33013i | 0.0853277 | − | 0.147792i | ||||
\(10\) | 10.3301 | − | 5.96410i | 1.03301 | − | 0.596410i | ||||
\(11\) | 6.19615 | + | 1.66025i | 0.563287 | + | 0.150932i | 0.529216 | − | 0.848487i | \(-0.322486\pi\) |
0.0340707 | + | 0.999419i | \(0.489153\pi\) | |||||||
\(12\) | − | 0.732051i | − | 0.0610042i | ||||||
\(13\) | −6.50000 | − | 11.2583i | −0.500000 | − | 0.866025i | ||||
\(14\) | −16.9282 | −1.20916 | ||||||||
\(15\) | −4.36603 | + | 16.2942i | −0.291068 | + | 1.08628i | ||||
\(16\) | −7.42820 | − | 12.8660i | −0.464263 | − | 0.804127i | ||||
\(17\) | 9.99038 | + | 5.76795i | 0.587669 | + | 0.339291i | 0.764175 | − | 0.645008i | \(-0.223146\pi\) |
−0.176506 | + | 0.984300i | \(0.556479\pi\) | |||||||
\(18\) | 2.09808 | + | 2.09808i | 0.116560 | + | 0.116560i | ||||
\(19\) | 3.36603 | − | 0.901924i | 0.177159 | − | 0.0474697i | −0.169149 | − | 0.985591i | \(-0.554102\pi\) |
0.346308 | + | 0.938121i | \(0.387435\pi\) | |||||||
\(20\) | −0.428203 | − | 1.59808i | −0.0214102 | − | 0.0799038i | ||||
\(21\) | 16.9282 | − | 16.9282i | 0.806105 | − | 0.806105i | ||||
\(22\) | −6.19615 | + | 10.7321i | −0.281643 | + | 0.487820i | ||||
\(23\) | −8.49038 | + | 4.90192i | −0.369147 | + | 0.213127i | −0.673086 | − | 0.739564i | \(-0.735032\pi\) |
0.303939 | + | 0.952692i | \(0.401698\pi\) | |||||||
\(24\) | 21.7583 | + | 5.83013i | 0.906597 | + | 0.242922i | ||||
\(25\) | 13.1244i | 0.524974i | ||||||||
\(26\) | 24.2583 | − | 6.50000i | 0.933013 | − | 0.250000i | ||||
\(27\) | −28.7846 | −1.06610 | ||||||||
\(28\) | −0.607695 | + | 2.26795i | −0.0217034 | + | 0.0809982i | ||||
\(29\) | 5.69615 | + | 9.86603i | 0.196419 | + | 0.340208i | 0.947365 | − | 0.320156i | \(-0.103735\pi\) |
−0.750946 | + | 0.660364i | \(0.770402\pi\) | |||||||
\(30\) | −28.2224 | − | 16.2942i | −0.940748 | − | 0.543141i | ||||
\(31\) | 1.92820 | + | 1.92820i | 0.0622001 | + | 0.0622001i | 0.737523 | − | 0.675322i | \(-0.235996\pi\) |
−0.675322 | + | 0.737523i | \(0.735996\pi\) | |||||||
\(32\) | −4.13397 | + | 1.10770i | −0.129187 | + | 0.0346155i | ||||
\(33\) | −4.53590 | − | 16.9282i | −0.137451 | − | 0.512976i | ||||
\(34\) | −15.7583 | + | 15.7583i | −0.463480 | + | 0.463480i | ||||
\(35\) | 27.0526 | − | 46.8564i | 0.772930 | − | 1.33875i | ||||
\(36\) | 0.356406 | − | 0.205771i | 0.00990018 | − | 0.00571587i | ||||
\(37\) | −42.1147 | − | 11.2846i | −1.13824 | − | 0.304989i | −0.359995 | − | 0.932954i | \(-0.617221\pi\) |
−0.778242 | + | 0.627965i | \(0.783888\pi\) | |||||||
\(38\) | 6.73205i | 0.177159i | ||||||||
\(39\) | −17.7583 | + | 30.7583i | −0.455342 | + | 0.788675i | ||||
\(40\) | 50.9090 | 1.27272 | ||||||||
\(41\) | 5.08142 | − | 18.9641i | 0.123937 | − | 0.462539i | −0.875863 | − | 0.482561i | \(-0.839707\pi\) |
0.999800 | + | 0.0200215i | \(0.00637348\pi\) | |||||||
\(42\) | 23.1244 | + | 40.0526i | 0.550580 | + | 0.953632i | ||||
\(43\) | 45.0000 | + | 25.9808i | 1.04651 | + | 0.604204i | 0.921671 | − | 0.387973i | \(-0.126825\pi\) |
0.124841 | + | 0.992177i | \(0.460158\pi\) | |||||||
\(44\) | 1.21539 | + | 1.21539i | 0.0276225 | + | 0.0276225i | ||||
\(45\) | −9.16025 | + | 2.45448i | −0.203561 | + | 0.0545441i | ||||
\(46\) | −4.90192 | − | 18.2942i | −0.106564 | − | 0.397701i | ||||
\(47\) | 0.320508 | − | 0.320508i | 0.00681932 | − | 0.00681932i | −0.703689 | − | 0.710508i | \(-0.748465\pi\) |
0.710508 | + | 0.703689i | \(0.248465\pi\) | |||||||
\(48\) | −20.2942 | + | 35.1506i | −0.422796 | + | 0.732305i | ||||
\(49\) | −24.0622 | + | 13.8923i | −0.491065 | + | 0.283516i | ||||
\(50\) | −24.4904 | − | 6.56218i | −0.489808 | − | 0.131244i | ||||
\(51\) | − | 31.5167i | − | 0.617974i | ||||||
\(52\) | − | 3.48334i | − | 0.0669873i | ||||||
\(53\) | 78.7654 | 1.48614 | 0.743070 | − | 0.669214i | \(-0.233369\pi\) | ||||
0.743070 | + | 0.669214i | \(0.233369\pi\) | |||||||
\(54\) | 14.3923 | − | 53.7128i | 0.266524 | − | 0.994682i | ||||
\(55\) | −19.8038 | − | 34.3013i | −0.360070 | − | 0.623659i | ||||
\(56\) | −62.5692 | − | 36.1244i | −1.11731 | − | 0.645078i | ||||
\(57\) | −6.73205 | − | 6.73205i | −0.118106 | − | 0.118106i | ||||
\(58\) | −21.2583 | + | 5.69615i | −0.366523 | + | 0.0982095i | ||||
\(59\) | 10.9615 | + | 40.9090i | 0.185789 | + | 0.693372i | 0.994460 | + | 0.105112i | \(0.0335202\pi\) |
−0.808672 | + | 0.588260i | \(0.799813\pi\) | |||||||
\(60\) | −3.19615 | + | 3.19615i | −0.0532692 | + | 0.0532692i | ||||
\(61\) | −49.1865 | + | 85.1936i | −0.806337 | + | 1.39662i | 0.109048 | + | 0.994036i | \(0.465220\pi\) |
−0.915385 | + | 0.402580i | \(0.868114\pi\) | |||||||
\(62\) | −4.56218 | + | 2.63397i | −0.0735835 | + | 0.0424835i | ||||
\(63\) | 13.0000 | + | 3.48334i | 0.206349 | + | 0.0552911i | ||||
\(64\) | − | 67.6936i | − | 1.05771i | ||||||
\(65\) | −20.7750 | + | 77.5333i | −0.319615 | + | 1.19282i | ||||
\(66\) | 33.8564 | 0.512976 | ||||||||
\(67\) | 19.9737 | − | 74.5429i | 0.298115 | − | 1.11258i | −0.640596 | − | 0.767878i | \(-0.721313\pi\) |
0.938712 | − | 0.344703i | \(-0.112021\pi\) | |||||||
\(68\) | 1.54552 | + | 2.67691i | 0.0227282 | + | 0.0393664i | ||||
\(69\) | 23.1962 | + | 13.3923i | 0.336176 | + | 0.194091i | ||||
\(70\) | 73.9090 | + | 73.9090i | 1.05584 | + | 1.05584i | ||||
\(71\) | −31.0263 | + | 8.31347i | −0.436990 | + | 0.117091i | −0.470605 | − | 0.882344i | \(-0.655964\pi\) |
0.0336156 | + | 0.999435i | \(0.489298\pi\) | |||||||
\(72\) | 3.27757 | + | 12.2321i | 0.0455218 | + | 0.169890i | ||||
\(73\) | 48.2750 | − | 48.2750i | 0.661301 | − | 0.661301i | −0.294386 | − | 0.955687i | \(-0.595115\pi\) |
0.955687 | + | 0.294386i | \(0.0951150\pi\) | |||||||
\(74\) | 42.1147 | − | 72.9449i | 0.569118 | − | 0.985741i | ||||
\(75\) | 31.0526 | − | 17.9282i | 0.414034 | − | 0.239043i | ||||
\(76\) | 0.901924 | + | 0.241670i | 0.0118674 | + | 0.00317987i | ||||
\(77\) | 56.2102i | 0.730003i | ||||||||
\(78\) | −48.5167 | − | 48.5167i | −0.622008 | − | 0.622008i | ||||
\(79\) | −82.7461 | −1.04742 | −0.523710 | − | 0.851897i | \(-0.675452\pi\) | ||||
−0.523710 | + | 0.851897i | \(0.675452\pi\) | |||||||
\(80\) | −23.7417 | + | 88.6051i | −0.296771 | + | 1.10756i | ||||
\(81\) | 32.4090 | + | 56.1340i | 0.400111 | + | 0.693012i | ||||
\(82\) | 32.8468 | + | 18.9641i | 0.400571 | + | 0.231270i | ||||
\(83\) | −69.5167 | − | 69.5167i | −0.837550 | − | 0.837550i | 0.150986 | − | 0.988536i | \(-0.451755\pi\) |
−0.988536 | + | 0.150986i | \(0.951755\pi\) | |||||||
\(84\) | 6.19615 | − | 1.66025i | 0.0737637 | − | 0.0197649i | ||||
\(85\) | −18.4352 | − | 68.8013i | −0.216885 | − | 0.809427i | ||||
\(86\) | −70.9808 | + | 70.9808i | −0.825358 | + | 0.825358i | ||||
\(87\) | 15.5622 | − | 26.9545i | 0.178876 | − | 0.309822i | ||||
\(88\) | −45.8038 | + | 26.4449i | −0.520498 | + | 0.300510i | ||||
\(89\) | −31.8301 | − | 8.52886i | −0.357642 | − | 0.0958299i | 0.0755242 | − | 0.997144i | \(-0.475937\pi\) |
−0.433166 | + | 0.901314i | \(0.642604\pi\) | |||||||
\(90\) | − | 18.3205i | − | 0.203561i | ||||||
\(91\) | 80.5500 | − | 80.5500i | 0.885165 | − | 0.885165i | ||||
\(92\) | −2.62693 | −0.0285536 | ||||||||
\(93\) | 1.92820 | − | 7.19615i | 0.0207334 | − | 0.0773780i | ||||
\(94\) | 0.437822 | + | 0.758330i | 0.00465768 | + | 0.00806734i | ||||
\(95\) | −18.6340 | − | 10.7583i | −0.196147 | − | 0.113246i | ||||
\(96\) | 8.26795 | + | 8.26795i | 0.0861245 | + | 0.0861245i | ||||
\(97\) | 74.8109 | − | 20.0455i | 0.771246 | − | 0.206655i | 0.148324 | − | 0.988939i | \(-0.452612\pi\) |
0.622922 | + | 0.782284i | \(0.285945\pi\) | |||||||
\(98\) | −13.8923 | − | 51.8468i | −0.141758 | − | 0.529049i | ||||
\(99\) | 6.96668 | − | 6.96668i | 0.0703705 | − | 0.0703705i | ||||
\(100\) | −1.75833 | + | 3.04552i | −0.0175833 | + | 0.0304552i | ||||
\(101\) | 29.4404 | − | 16.9974i | 0.291489 | − | 0.168291i | −0.347124 | − | 0.937819i | \(-0.612842\pi\) |
0.638613 | + | 0.769528i | \(0.279508\pi\) | |||||||
\(102\) | 58.8109 | + | 15.7583i | 0.576577 | + | 0.154493i | ||||
\(103\) | 179.229i | 1.74009i | 0.492971 | + | 0.870046i | \(0.335911\pi\) | ||||
−0.492971 | + | 0.870046i | \(0.664089\pi\) | |||||||
\(104\) | 103.533 | + | 27.7417i | 0.995513 | + | 0.266747i | ||||
\(105\) | −147.818 | −1.40779 | ||||||||
\(106\) | −39.3827 | + | 146.978i | −0.371535 | + | 1.38659i | ||||
\(107\) | −40.6673 | − | 70.4378i | −0.380068 | − | 0.658297i | 0.611003 | − | 0.791628i | \(-0.290766\pi\) |
−0.991072 | + | 0.133331i | \(0.957433\pi\) | |||||||
\(108\) | −6.67949 | − | 3.85641i | −0.0618471 | − | 0.0357075i | ||||
\(109\) | −0.0192379 | − | 0.0192379i | −0.000176494 | − | 0.000176494i | 0.707019 | − | 0.707195i | \(-0.250040\pi\) |
−0.707195 | + | 0.707019i | \(0.750040\pi\) | |||||||
\(110\) | 73.9090 | − | 19.8038i | 0.671900 | − | 0.180035i | ||||
\(111\) | 30.8301 | + | 115.060i | 0.277749 | + | 1.03657i | ||||
\(112\) | 92.0526 | − | 92.0526i | 0.821898 | − | 0.821898i | ||||
\(113\) | 46.0096 | − | 79.6910i | 0.407165 | − | 0.705230i | −0.587406 | − | 0.809292i | \(-0.699851\pi\) |
0.994571 | + | 0.104062i | \(0.0331841\pi\) | |||||||
\(114\) | 15.9282 | − | 9.19615i | 0.139721 | − | 0.0806680i | ||||
\(115\) | 58.4711 | + | 15.6673i | 0.508445 | + | 0.136237i | ||||
\(116\) | 3.05256i | 0.0263152i | ||||||||
\(117\) | −19.9667 | −0.170655 | ||||||||
\(118\) | −81.8179 | −0.693372 | ||||||||
\(119\) | −26.1628 | + | 97.6410i | −0.219856 | + | 0.820513i | ||||
\(120\) | −69.5429 | − | 120.452i | −0.579524 | − | 1.00377i | ||||
\(121\) | −69.1532 | − | 39.9256i | −0.571514 | − | 0.329964i | ||||
\(122\) | −134.380 | − | 134.380i | −1.10148 | − | 1.10148i | ||||
\(123\) | −51.8109 | + | 13.8827i | −0.421227 | + | 0.112867i | ||||
\(124\) | 0.189111 | + | 0.705771i | 0.00152509 | + | 0.00569170i | ||||
\(125\) | −51.8494 | + | 51.8494i | −0.414795 | + | 0.414795i | ||||
\(126\) | −13.0000 | + | 22.5167i | −0.103175 | + | 0.178704i | ||||
\(127\) | 63.6673 | − | 36.7583i | 0.501317 | − | 0.289436i | −0.227940 | − | 0.973675i | \(-0.573199\pi\) |
0.729257 | + | 0.684239i | \(0.239866\pi\) | |||||||
\(128\) | 109.782 | + | 29.4160i | 0.857672 | + | 0.229813i | ||||
\(129\) | − | 141.962i | − | 1.10048i | ||||||
\(130\) | −134.292 | − | 77.5333i | −1.03301 | − | 0.596410i | ||||
\(131\) | 48.9808 | 0.373899 | 0.186949 | − | 0.982370i | \(-0.440140\pi\) | ||||
0.186949 | + | 0.982370i | \(0.440140\pi\) | |||||||
\(132\) | 1.21539 | − | 4.53590i | 0.00920750 | − | 0.0343629i | ||||
\(133\) | 15.2679 | + | 26.4449i | 0.114797 | + | 0.198834i | ||||
\(134\) | 129.112 | + | 74.5429i | 0.963524 | + | 0.556291i | ||||
\(135\) | 125.674 | + | 125.674i | 0.930921 | + | 0.930921i | ||||
\(136\) | −91.8731 | + | 24.6173i | −0.675537 | + | 0.181010i | ||||
\(137\) | 18.3949 | + | 68.6506i | 0.134269 | + | 0.501100i | 1.00000 | 0.000589281i | \(0.000187574\pi\) | |
−0.865731 | + | 0.500510i | \(0.833146\pi\) | |||||||
\(138\) | −36.5885 | + | 36.5885i | −0.265134 | + | 0.265134i | ||||
\(139\) | −57.7846 | + | 100.086i | −0.415717 | + | 0.720042i | −0.995503 | − | 0.0947259i | \(-0.969803\pi\) |
0.579787 | + | 0.814768i | \(0.303136\pi\) | |||||||
\(140\) | 12.5551 | − | 7.24871i | 0.0896795 | − | 0.0517765i | ||||
\(141\) | −1.19615 | − | 0.320508i | −0.00848335 | − | 0.00227311i | ||||
\(142\) | − | 62.0526i | − | 0.436990i | ||||||
\(143\) | −21.5833 | − | 80.5500i | −0.150932 | − | 0.563287i | ||||
\(144\) | −22.8179 | −0.158458 | ||||||||
\(145\) | 18.2058 | − | 67.9449i | 0.125557 | − | 0.468585i | ||||
\(146\) | 65.9449 | + | 114.220i | 0.451677 | + | 0.782328i | ||||
\(147\) | 65.7391 | + | 37.9545i | 0.447205 | + | 0.258194i | ||||
\(148\) | −8.26091 | − | 8.26091i | −0.0558169 | − | 0.0558169i | ||||
\(149\) | 263.090 | − | 70.4948i | 1.76571 | − | 0.473120i | 0.777845 | − | 0.628456i | \(-0.216313\pi\) |
0.987862 | + | 0.155336i | \(0.0496460\pi\) | |||||||
\(150\) | 17.9282 | + | 66.9090i | 0.119521 | + | 0.446060i | ||||
\(151\) | −65.9948 | + | 65.9948i | −0.437052 | + | 0.437052i | −0.891019 | − | 0.453967i | \(-0.850009\pi\) |
0.453967 | + | 0.891019i | \(0.350009\pi\) | |||||||
\(152\) | −14.3660 | + | 24.8827i | −0.0945133 | + | 0.163702i | ||||
\(153\) | 15.3442 | − | 8.85898i | 0.100289 | − | 0.0579019i | ||||
\(154\) | −104.890 | − | 28.1051i | −0.681102 | − | 0.182501i | ||||
\(155\) | − | 16.8372i | − | 0.108627i | ||||||
\(156\) | −8.24167 | + | 4.75833i | −0.0528312 | + | 0.0305021i | ||||
\(157\) | 47.7461 | 0.304116 | 0.152058 | − | 0.988372i | \(-0.451410\pi\) | ||||
0.152058 | + | 0.988372i | \(0.451410\pi\) | |||||||
\(158\) | 41.3731 | − | 154.406i | 0.261855 | − | 0.977256i | ||||
\(159\) | −107.595 | − | 186.361i | −0.676701 | − | 1.17208i | ||||
\(160\) | 22.8853 | + | 13.2128i | 0.143033 | + | 0.0825801i | ||||
\(161\) | −60.7461 | − | 60.7461i | −0.377305 | − | 0.377305i | ||||
\(162\) | −120.952 | + | 32.4090i | −0.746617 | + | 0.200055i | ||||
\(163\) | 16.2820 | + | 60.7654i | 0.0998898 | + | 0.372794i | 0.997715 | − | 0.0675575i | \(-0.0215206\pi\) |
−0.897826 | + | 0.440351i | \(0.854854\pi\) | |||||||
\(164\) | 3.71985 | − | 3.71985i | 0.0226820 | − | 0.0226820i | ||||
\(165\) | −54.1051 | + | 93.7128i | −0.327910 | + | 0.567956i | ||||
\(166\) | 164.478 | − | 94.9615i | 0.990832 | − | 0.572057i | ||||
\(167\) | −176.406 | − | 47.2679i | −1.05633 | − | 0.283042i | −0.311462 | − | 0.950259i | \(-0.600819\pi\) |
−0.744863 | + | 0.667217i | \(0.767485\pi\) | |||||||
\(168\) | 197.387i | 1.17492i | ||||||||
\(169\) | −84.5000 | + | 146.358i | −0.500000 | + | 0.866025i | ||||
\(170\) | 137.603 | 0.809427 | ||||||||
\(171\) | 1.38526 | − | 5.16987i | 0.00810095 | − | 0.0302332i | ||||
\(172\) | 6.96152 | + | 12.0577i | 0.0404740 | + | 0.0701030i | ||||
\(173\) | −244.865 | − | 141.373i | −1.41541 | − | 0.817185i | −0.419516 | − | 0.907748i | \(-0.637800\pi\) |
−0.995891 | + | 0.0905627i | \(0.971133\pi\) | |||||||
\(174\) | 42.5167 | + | 42.5167i | 0.244349 | + | 0.244349i | ||||
\(175\) | −111.086 | + | 29.7654i | −0.634776 | + | 0.170088i | ||||
\(176\) | −24.6654 | − | 92.0526i | −0.140144 | − | 0.523026i | ||||
\(177\) | 81.8179 | − | 81.8179i | 0.462248 | − | 0.462248i | ||||
\(178\) | 31.8301 | − | 55.1314i | 0.178821 | − | 0.309727i | ||||
\(179\) | −258.904 | + | 149.478i | −1.44639 | + | 0.835074i | −0.998264 | − | 0.0588968i | \(-0.981242\pi\) |
−0.448126 | + | 0.893970i | \(0.647908\pi\) | |||||||
\(180\) | −2.45448 | − | 0.657677i | −0.0136360 | − | 0.00365376i | ||||
\(181\) | − | 299.081i | − | 1.65238i | −0.563392 | − | 0.826190i | \(-0.690504\pi\) | ||
0.563392 | − | 0.826190i | \(-0.309496\pi\) | |||||||
\(182\) | 110.033 | + | 190.583i | 0.604579 | + | 1.04716i | ||||
\(183\) | 268.760 | 1.46864 | ||||||||
\(184\) | 20.9212 | − | 78.0788i | 0.113702 | − | 0.424342i | ||||
\(185\) | 134.605 | + | 233.143i | 0.727595 | + | 1.26023i | ||||
\(186\) | 12.4641 | + | 7.19615i | 0.0670113 | + | 0.0386890i | ||||
\(187\) | 52.3257 | + | 52.3257i | 0.279816 | + | 0.279816i | ||||
\(188\) | 0.117314 | − | 0.0314342i | 0.000624011 | − | 0.000167203i | ||||
\(189\) | −65.2820 | − | 243.636i | −0.345408 | − | 1.28908i | ||||
\(190\) | 29.3923 | − | 29.3923i | 0.154696 | − | 0.154696i | ||||
\(191\) | 118.002 | − | 204.385i | 0.617811 | − | 1.07008i | −0.372073 | − | 0.928203i | \(-0.621353\pi\) |
0.989884 | − | 0.141877i | \(-0.0453136\pi\) | |||||||
\(192\) | −160.165 | + | 92.4711i | −0.834191 | + | 0.481621i | ||||
\(193\) | 312.449 | + | 83.7205i | 1.61891 | + | 0.433785i | 0.950681 | − | 0.310172i | \(-0.100386\pi\) |
0.668228 | + | 0.743957i | \(0.267053\pi\) | |||||||
\(194\) | 149.622i | 0.771246i | ||||||||
\(195\) | 211.825 | − | 56.7583i | 1.08628 | − | 0.291068i | ||||
\(196\) | −7.44486 | −0.0379840 | ||||||||
\(197\) | −62.1122 | + | 231.806i | −0.315290 | + | 1.17668i | 0.608429 | + | 0.793608i | \(0.291800\pi\) |
−0.923719 | + | 0.383071i | \(0.874867\pi\) | |||||||
\(198\) | 9.51666 | + | 16.4833i | 0.0480639 | + | 0.0832492i | ||||
\(199\) | 44.5481 | + | 25.7199i | 0.223860 | + | 0.129245i | 0.607736 | − | 0.794139i | \(-0.292078\pi\) |
−0.383876 | + | 0.923384i | \(0.625411\pi\) | |||||||
\(200\) | −76.5167 | − | 76.5167i | −0.382583 | − | 0.382583i | ||||
\(201\) | −203.655 | + | 54.5692i | −1.01321 | + | 0.271489i | ||||
\(202\) | 16.9974 | + | 63.4352i | 0.0841457 | + | 0.314036i | ||||
\(203\) | −70.5885 | + | 70.5885i | −0.347726 | + | 0.347726i | ||||
\(204\) | 4.22243 | − | 7.31347i | 0.0206982 | − | 0.0358503i | ||||
\(205\) | −104.983 | + | 60.6122i | −0.512114 | + | 0.295669i | ||||
\(206\) | −334.447 | − | 89.6147i | −1.62353 | − | 0.435023i | ||||
\(207\) | 15.0577i | 0.0727426i | ||||||||
\(208\) | −96.5666 | + | 167.258i | −0.464263 | + | 0.804127i | ||||
\(209\) | 22.3538 | 0.106956 | ||||||||
\(210\) | 73.9090 | − | 275.832i | 0.351947 | − | 1.31349i | ||||
\(211\) | 103.648 | + | 179.524i | 0.491223 | + | 0.850823i | 0.999949 | − | 0.0101053i | \(-0.00321667\pi\) |
−0.508726 | + | 0.860929i | \(0.669883\pi\) | |||||||
\(212\) | 18.2776 | + | 10.5526i | 0.0862149 | + | 0.0497762i | ||||
\(213\) | 62.0526 | + | 62.0526i | 0.291327 | + | 0.291327i | ||||
\(214\) | 151.772 | − | 40.6673i | 0.709217 | − | 0.190034i | ||||
\(215\) | −83.0385 | − | 309.904i | −0.386225 | − | 1.44141i | ||||
\(216\) | 167.818 | − | 167.818i | 0.776935 | − | 0.776935i | ||||
\(217\) | −11.9474 | + | 20.6936i | −0.0550573 | + | 0.0953621i | ||||
\(218\) | 0.0455173 | − | 0.0262794i | 0.000208795 | − | 0.000120548i | ||||
\(219\) | −180.165 | − | 48.2750i | −0.822670 | − | 0.220434i | ||||
\(220\) | − | 10.6128i | − | 0.0482402i | ||||||
\(221\) | − | 149.967i | − | 0.678582i | ||||||
\(222\) | −230.119 | −1.03657 | ||||||||
\(223\) | 84.5326 | − | 315.480i | 0.379070 | − | 1.41471i | −0.468236 | − | 0.883604i | \(-0.655110\pi\) |
0.847306 | − | 0.531105i | \(-0.178223\pi\) | |||||||
\(224\) | −18.7513 | − | 32.4782i | −0.0837111 | − | 0.144992i | ||||
\(225\) | 17.4571 | + | 10.0788i | 0.0775869 | + | 0.0447948i | ||||
\(226\) | 125.701 | + | 125.701i | 0.556197 | + | 0.556197i | ||||
\(227\) | −234.720 | + | 62.8930i | −1.03401 | + | 0.277062i | −0.735628 | − | 0.677386i | \(-0.763113\pi\) |
−0.298380 | + | 0.954447i | \(0.596446\pi\) | |||||||
\(228\) | −0.660254 | − | 2.46410i | −0.00289585 | − | 0.0108075i | ||||
\(229\) | −75.7321 | + | 75.7321i | −0.330708 | + | 0.330708i | −0.852855 | − | 0.522148i | \(-0.825131\pi\) |
0.522148 | + | 0.852855i | \(0.325131\pi\) | |||||||
\(230\) | −58.4711 | + | 101.275i | −0.254222 | + | 0.440326i | ||||
\(231\) | 132.995 | − | 76.7846i | 0.575735 | − | 0.332401i | ||||
\(232\) | −90.7295 | − | 24.3109i | −0.391075 | − | 0.104788i | ||||
\(233\) | 304.592i | 1.30726i | 0.756813 | + | 0.653631i | \(0.226755\pi\) | ||||
−0.756813 | + | 0.653631i | \(0.773245\pi\) | |||||||
\(234\) | 9.98334 | − | 37.2583i | 0.0426638 | − | 0.159224i | ||||
\(235\) | −2.79869 | −0.0119093 | ||||||||
\(236\) | −2.93713 | + | 10.9615i | −0.0124455 | + | 0.0464471i | ||||
\(237\) | 113.033 | + | 195.779i | 0.476934 | + | 0.826074i | ||||
\(238\) | −169.119 | − | 97.6410i | −0.710585 | − | 0.410256i | ||||
\(239\) | 250.655 | + | 250.655i | 1.04877 | + | 1.04877i | 0.998748 | + | 0.0500178i | \(0.0159278\pi\) |
0.0500178 | + | 0.998748i | \(0.484072\pi\) | |||||||
\(240\) | 242.074 | − | 64.8634i | 1.00864 | − | 0.270264i | ||||
\(241\) | 11.6487 | + | 43.4737i | 0.0483351 | + | 0.180389i | 0.985873 | − | 0.167494i | \(-0.0535674\pi\) |
−0.937538 | + | 0.347883i | \(0.886901\pi\) | |||||||
\(242\) | 109.079 | − | 109.079i | 0.450739 | − | 0.450739i | ||||
\(243\) | −40.9878 | + | 70.9930i | −0.168674 | + | 0.292152i | ||||
\(244\) | −22.8275 | + | 13.1795i | −0.0935555 | + | 0.0540143i | ||||
\(245\) | 165.710 | + | 44.4019i | 0.676368 | + | 0.181232i | ||||
\(246\) | − | 103.622i | − | 0.421227i | ||||||
\(247\) | −32.0333 | − | 32.0333i | −0.129690 | − | 0.129690i | ||||
\(248\) | −22.4833 | −0.0906586 | ||||||||
\(249\) | −69.5167 | + | 259.440i | −0.279183 | + | 1.04193i | ||||
\(250\) | −70.8275 | − | 122.677i | −0.283310 | − | 0.490708i | ||||
\(251\) | 116.375 | + | 67.1891i | 0.463645 | + | 0.267686i | 0.713576 | − | 0.700578i | \(-0.247074\pi\) |
−0.249931 | + | 0.968264i | \(0.580408\pi\) | |||||||
\(252\) | 2.54998 | + | 2.54998i | 0.0101190 | + | 0.0101190i | ||||
\(253\) | −60.7461 | + | 16.2769i | −0.240103 | + | 0.0643355i | ||||
\(254\) | 36.7583 | + | 137.184i | 0.144718 | + | 0.540094i | ||||
\(255\) | −137.603 | + | 137.603i | −0.539618 | + | 0.539618i | ||||
\(256\) | 25.6051 | − | 44.3494i | 0.100020 | − | 0.173240i | ||||
\(257\) | 283.227 | − | 163.521i | 1.10205 | − | 0.636269i | 0.165291 | − | 0.986245i | \(-0.447144\pi\) |
0.936759 | + | 0.349976i | \(0.113810\pi\) | |||||||
\(258\) | 264.904 | + | 70.9808i | 1.02676 | + | 0.275119i | ||||
\(259\) | − | 382.056i | − | 1.47512i | ||||||
\(260\) | −15.2083 | + | 15.2083i | −0.0584936 | + | 0.0584936i | ||||
\(261\) | 17.4974 | 0.0670399 | ||||||||
\(262\) | −24.4904 | + | 91.3993i | −0.0934747 | + | 0.348852i | ||||
\(263\) | −225.669 | − | 390.870i | −0.858058 | − | 1.48620i | −0.873779 | − | 0.486323i | \(-0.838338\pi\) |
0.0157213 | − | 0.999876i | \(-0.494996\pi\) | |||||||
\(264\) | 125.138 | + | 72.2487i | 0.474009 | + | 0.273669i | ||||
\(265\) | −343.892 | − | 343.892i | −1.29770 | − | 1.29770i | ||||
\(266\) | −56.9808 | + | 15.2679i | −0.214213 | + | 0.0573983i | ||||
\(267\) | 23.3013 | + | 86.9615i | 0.0872707 | + | 0.325699i | ||||
\(268\) | 14.6218 | − | 14.6218i | 0.0545589 | − | 0.0545589i | ||||
\(269\) | −78.3538 | + | 135.713i | −0.291278 | + | 0.504509i | −0.974112 | − | 0.226065i | \(-0.927414\pi\) |
0.682834 | + | 0.730573i | \(0.260747\pi\) | |||||||
\(270\) | −297.349 | + | 171.674i | −1.10129 | + | 0.635831i | ||||
\(271\) | 247.133 | + | 66.2192i | 0.911931 | + | 0.244351i | 0.684133 | − | 0.729357i | \(-0.260181\pi\) |
0.227798 | + | 0.973708i | \(0.426847\pi\) | |||||||
\(272\) | − | 171.382i | − | 0.630081i | ||||||
\(273\) | −300.617 | − | 80.5500i | −1.10116 | − | 0.295055i | ||||
\(274\) | −137.301 | −0.501100 | ||||||||
\(275\) | −21.7898 | + | 81.3205i | −0.0792355 | + | 0.295711i | ||||
\(276\) | 3.58846 | + | 6.21539i | 0.0130017 | + | 0.0225195i | ||||
\(277\) | −57.8904 | − | 33.4230i | −0.208991 | − | 0.120661i | 0.391852 | − | 0.920028i | \(-0.371835\pi\) |
−0.600842 | + | 0.799368i | \(0.705168\pi\) | |||||||
\(278\) | −157.870 | − | 157.870i | −0.567879 | − | 0.567879i | ||||
\(279\) | 4.04552 | − | 1.08399i | 0.0145001 | − | 0.00388528i | ||||
\(280\) | 115.459 | + | 430.899i | 0.412353 | + | 1.53892i | ||||
\(281\) | 111.026 | − | 111.026i | 0.395111 | − | 0.395111i | −0.481393 | − | 0.876505i | \(-0.659869\pi\) |
0.876505 | + | 0.481393i | \(0.159869\pi\) | |||||||
\(282\) | 1.19615 | − | 2.07180i | 0.00424168 | − | 0.00734680i | ||||
\(283\) | −41.1962 | + | 23.7846i | −0.145569 | + | 0.0840446i | −0.571016 | − | 0.820939i | \(-0.693450\pi\) |
0.425446 | + | 0.904984i | \(0.360117\pi\) | |||||||
\(284\) | −8.31347 | − | 2.22759i | −0.0292728 | − | 0.00784361i | ||||
\(285\) | 58.7846i | 0.206262i | ||||||||
\(286\) | 161.100 | 0.563287 | ||||||||
\(287\) | 172.038 | 0.599437 | ||||||||
\(288\) | −1.70131 | + | 6.34936i | −0.00590732 | + | 0.0220464i | ||||
\(289\) | −77.9615 | − | 135.033i | −0.269763 | − | 0.467243i | ||||
\(290\) | 117.684 | + | 67.9449i | 0.405807 | + | 0.234293i | ||||
\(291\) | −149.622 | − | 149.622i | −0.514164 | − | 0.514164i | ||||
\(292\) | 17.6699 | − | 4.73463i | 0.0605133 | − | 0.0162145i | ||||
\(293\) | 2.24236 | + | 8.36860i | 0.00765311 | + | 0.0285618i | 0.969647 | − | 0.244510i | \(-0.0786271\pi\) |
−0.961994 | + | 0.273072i | \(0.911960\pi\) | |||||||
\(294\) | −103.694 | + | 103.694i | −0.352699 | + | 0.352699i | ||||
\(295\) | 130.751 | − | 226.468i | 0.443225 | − | 0.767688i | ||||
\(296\) | 311.325 | − | 179.744i | 1.05177 | − | 0.607242i | ||||
\(297\) | −178.354 | − | 47.7898i | −0.600518 | − | 0.160908i | ||||
\(298\) | 526.181i | 1.76571i | ||||||||
\(299\) | 110.375 | + | 63.7250i | 0.369147 | + | 0.213127i | ||||
\(300\) | 9.60770 | 0.0320257 | ||||||||
\(301\) | −117.846 | + | 439.808i | −0.391515 | + | 1.46115i | ||||
\(302\) | −90.1506 | − | 156.145i | −0.298512 | − | 0.517038i | ||||
\(303\) | −80.4327 | − | 46.4378i | −0.265454 | − | 0.153260i | ||||
\(304\) | −36.6077 | − | 36.6077i | −0.120420 | − | 0.120420i | ||||
\(305\) | 586.707 | − | 157.208i | 1.92363 | − | 0.515435i | ||||
\(306\) | 8.85898 | + | 33.0622i | 0.0289509 | + | 0.108046i | ||||
\(307\) | −228.219 | + | 228.219i | −0.743385 | + | 0.743385i | −0.973228 | − | 0.229843i | \(-0.926179\pi\) |
0.229843 | + | 0.973228i | \(0.426179\pi\) | |||||||
\(308\) | −7.53074 | + | 13.0436i | −0.0244505 | + | 0.0423494i | ||||
\(309\) | 424.061 | − | 244.832i | 1.37237 | − | 0.792337i | ||||
\(310\) | 31.4186 | + | 8.41858i | 0.101350 | + | 0.0271567i | ||||
\(311\) | − | 77.4782i | − | 0.249126i | −0.992212 | − | 0.124563i | \(-0.960247\pi\) | ||
0.992212 | − | 0.124563i | \(-0.0397529\pi\) | |||||||
\(312\) | −75.7917 | − | 282.858i | −0.242922 | − | 0.906597i | ||||
\(313\) | −165.685 | −0.529344 | −0.264672 | − | 0.964339i | \(-0.585264\pi\) | ||||
−0.264672 | + | 0.964339i | \(0.585264\pi\) | |||||||
\(314\) | −23.8731 | + | 89.0955i | −0.0760289 | + | 0.283744i | ||||
\(315\) | −41.5500 | − | 71.9667i | −0.131905 | − | 0.228466i | ||||
\(316\) | −19.2013 | − | 11.0859i | −0.0607636 | − | 0.0350819i | ||||
\(317\) | 97.0544 | + | 97.0544i | 0.306165 | + | 0.306165i | 0.843420 | − | 0.537255i | \(-0.180539\pi\) |
−0.537255 | + | 0.843420i | \(0.680539\pi\) | |||||||
\(318\) | 401.552 | − | 107.595i | 1.26274 | − | 0.338351i | ||||
\(319\) | 18.9141 | + | 70.5885i | 0.0592919 | + | 0.221280i | ||||
\(320\) | −295.552 | + | 295.552i | −0.923600 | + | 0.923600i | ||||
\(321\) | −111.105 | + | 192.440i | −0.346122 | + | 0.599501i | ||||
\(322\) | 143.727 | − | 82.9808i | 0.446357 | − | 0.257704i | ||||
\(323\) | 38.8301 | + | 10.4045i | 0.120217 | + | 0.0322121i | ||||
\(324\) | 17.3679i | 0.0536047i | ||||||||
\(325\) | 147.758 | − | 85.3083i | 0.454641 | − | 0.262487i | ||||
\(326\) | −121.531 | −0.372794 | ||||||||
\(327\) | −0.0192379 | + | 0.0717968i | −5.88315e−5 | + | 0.000219562i | ||||
\(328\) | 80.9378 | + | 140.188i | 0.246762 | + | 0.427404i | ||||
\(329\) | 3.43971 | + | 1.98592i | 0.0104550 | + | 0.00603622i | ||||
\(330\) | −147.818 | − | 147.818i | −0.447933 | − | 0.447933i | ||||
\(331\) | −292.603 | + | 78.4026i | −0.883996 | + | 0.236866i | −0.672130 | − | 0.740433i | \(-0.734621\pi\) |
−0.211865 | + | 0.977299i | \(0.567954\pi\) | |||||||
\(332\) | −6.81793 | − | 25.4449i | −0.0205359 | − | 0.0766412i | ||||
\(333\) | −47.3519 | + | 47.3519i | −0.142198 | + | 0.142198i | ||||
\(334\) | 176.406 | − | 305.545i | 0.528163 | − | 0.914805i | ||||
\(335\) | −412.662 | + | 238.251i | −1.23183 | + | 0.711196i | ||||
\(336\) | −343.545 | − | 92.0526i | −1.02245 | − | 0.273966i | ||||
\(337\) | 90.7795i | 0.269375i | 0.990888 | + | 0.134688i | \(0.0430031\pi\) | ||||
−0.990888 | + | 0.134688i | \(0.956997\pi\) | |||||||
\(338\) | −230.858 | − | 230.858i | −0.683013 | − | 0.683013i | ||||
\(339\) | −251.401 | −0.741597 | ||||||||
\(340\) | 4.93971 | − | 18.4352i | 0.0145286 | − | 0.0542213i | ||||
\(341\) | 8.74613 | + | 15.1487i | 0.0256485 | + | 0.0444245i | ||||
\(342\) | 8.95448 | + | 5.16987i | 0.0261827 | + | 0.0151166i | ||||
\(343\) | 131.454 | + | 131.454i | 0.383247 | + | 0.383247i | ||||
\(344\) | −413.827 | + | 110.885i | −1.20299 | + | 0.322339i | ||||
\(345\) | −42.8038 | − | 159.746i | −0.124069 | − | 0.463032i | ||||
\(346\) | 386.238 | − | 386.238i | 1.11630 | − | 1.11630i | ||||
\(347\) | 52.5903 | − | 91.0891i | 0.151557 | − | 0.262505i | −0.780243 | − | 0.625477i | \(-0.784905\pi\) |
0.931800 | + | 0.362972i | \(0.118238\pi\) | |||||||
\(348\) | 7.22243 | − | 4.16987i | 0.0207541 | − | 0.0119824i | ||||
\(349\) | 158.040 | + | 42.3468i | 0.452838 | + | 0.121338i | 0.478027 | − | 0.878345i | \(-0.341352\pi\) |
−0.0251892 | + | 0.999683i | \(0.508019\pi\) | |||||||
\(350\) | − | 222.172i | − | 0.634776i | ||||||
\(351\) | 187.100 | + | 324.067i | 0.533048 | + | 0.923267i | ||||
\(352\) | −27.4538 | −0.0779937 | ||||||||
\(353\) | 77.1692 | − | 287.999i | 0.218610 | − | 0.815862i | −0.766255 | − | 0.642537i | \(-0.777882\pi\) |
0.984865 | − | 0.173325i | \(-0.0554513\pi\) | |||||||
\(354\) | 111.765 | + | 193.583i | 0.315721 | + | 0.546845i | ||||
\(355\) | 171.758 | + | 99.1647i | 0.483826 | + | 0.279337i | ||||
\(356\) | −6.24356 | − | 6.24356i | −0.0175381 | − | 0.0175381i | ||||
\(357\) | 266.760 | − | 71.4782i | 0.747227 | − | 0.200219i | ||||
\(358\) | −149.478 | − | 557.860i | −0.417537 | − | 1.55827i | ||||
\(359\) | 299.923 | − | 299.923i | 0.835440 | − | 0.835440i | −0.152815 | − | 0.988255i | \(-0.548834\pi\) |
0.988255 | + | 0.152815i | \(0.0488337\pi\) | |||||||
\(360\) | 39.0955 | − | 67.7154i | 0.108599 | − | 0.188098i | ||||
\(361\) | −302.119 | + | 174.428i | −0.836893 | + | 0.483181i | ||||
\(362\) | 558.092 | + | 149.540i | 1.54169 | + | 0.413095i | ||||
\(363\) | 218.158i | 0.600985i | ||||||||
\(364\) | 29.4833 | − | 7.90004i | 0.0809982 | − | 0.0217034i | ||||
\(365\) | −421.540 | −1.15490 | ||||||||
\(366\) | −134.380 | + | 501.513i | −0.367159 | + | 1.37026i | ||||
\(367\) | 61.2750 | + | 106.131i | 0.166962 | + | 0.289186i | 0.937350 | − | 0.348388i | \(-0.113271\pi\) |
−0.770388 | + | 0.637575i | \(0.779938\pi\) | |||||||
\(368\) | 126.137 | + | 72.8250i | 0.342762 | + | 0.197894i | ||||
\(369\) | −21.3224 | − | 21.3224i | −0.0577843 | − | 0.0577843i | ||||
\(370\) | −502.353 | + | 134.605i | −1.35771 | + | 0.363798i | ||||
\(371\) | 178.636 | + | 666.678i | 0.481498 | + | 1.79698i | ||||
\(372\) | 1.41154 | − | 1.41154i | 0.00379447 | − | 0.00379447i | ||||
\(373\) | −10.6384 | + | 18.4263i | −0.0285213 | + | 0.0494003i | −0.879934 | − | 0.475096i | \(-0.842413\pi\) |
0.851412 | + | 0.524497i | \(0.175747\pi\) | |||||||
\(374\) | −123.804 | + | 71.4782i | −0.331026 | + | 0.191118i | ||||
\(375\) | 193.504 | + | 51.8494i | 0.516012 | + | 0.138265i | ||||
\(376\) | 3.73721i | 0.00993938i | ||||||||
\(377\) | 74.0500 | − | 128.258i | 0.196419 | − | 0.340208i | ||||
\(378\) | 487.272 | 1.28908 | ||||||||
\(379\) | 87.1417 | − | 325.217i | 0.229925 | − | 0.858093i | −0.750446 | − | 0.660932i | \(-0.770161\pi\) |
0.980371 | − | 0.197161i | \(-0.0631722\pi\) | |||||||
\(380\) | −2.88269 | − | 4.99296i | −0.00758602 | − | 0.0131394i | ||||
\(381\) | −173.942 | − | 100.426i | −0.456541 | − | 0.263584i | ||||
\(382\) | 322.387 | + | 322.387i | 0.843945 | + | 0.843945i | ||||
\(383\) | −183.061 | + | 49.0512i | −0.477967 | + | 0.128071i | −0.489756 | − | 0.871860i | \(-0.662914\pi\) |
0.0117887 | + | 0.999931i | \(0.496247\pi\) | |||||||
\(384\) | −80.3660 | − | 299.930i | −0.209287 | − | 0.781068i | ||||
\(385\) | 245.415 | − | 245.415i | 0.637442 | − | 0.637442i | ||||
\(386\) | −312.449 | + | 541.178i | −0.809454 | + | 1.40202i | ||||
\(387\) | 69.1154 | − | 39.9038i | 0.178593 | − | 0.103111i | ||||
\(388\) | 20.0455 | + | 5.37118i | 0.0516637 | + | 0.0138432i | ||||
\(389\) | − | 195.522i | − | 0.502627i | −0.967906 | − | 0.251313i | \(-0.919138\pi\) | ||
0.967906 | − | 0.251313i | \(-0.0808625\pi\) | |||||||
\(390\) | 423.650i | 1.08628i | ||||||||
\(391\) | −113.096 | −0.289249 | ||||||||
\(392\) | 59.2917 | − | 221.279i | 0.151254 | − | 0.564488i | ||||
\(393\) | −66.9090 | − | 115.890i | −0.170252 | − | 0.294885i | ||||
\(394\) | −401.499 | − | 231.806i | −1.01903 | − | 0.588339i | ||||
\(395\) | 361.272 | + | 361.272i | 0.914612 | + | 0.914612i | ||||
\(396\) | 2.54998 | − | 0.683265i | 0.00643935 | − | 0.00172542i | ||||
\(397\) | −108.578 | − | 405.217i | −0.273495 | − | 1.02070i | −0.956843 | − | 0.290605i | \(-0.906143\pi\) |
0.683348 | − | 0.730093i | \(-0.260523\pi\) | |||||||
\(398\) | −70.2679 | + | 70.2679i | −0.176553 | + | 0.176553i | ||||
\(399\) | 41.7128 | − | 72.2487i | 0.104543 | − | 0.181074i | ||||
\(400\) | 168.858 | − | 97.4904i | 0.422146 | − | 0.243726i | ||||
\(401\) | −753.833 | − | 201.989i | −1.87988 | − | 0.503713i | −0.999570 | − | 0.0293204i | \(-0.990666\pi\) |
−0.880313 | − | 0.474393i | \(-0.842668\pi\) | |||||||
\(402\) | − | 407.310i | − | 1.01321i | ||||||
\(403\) | 9.17503 | − | 34.2417i | 0.0227668 | − | 0.0849669i | ||||
\(404\) | 9.10889 | 0.0225468 | ||||||||
\(405\) | 103.584 | − | 386.581i | 0.255763 | − | 0.954520i | ||||
\(406\) | −96.4256 | − | 167.014i | −0.237502 | − | 0.411365i | ||||
\(407\) | −242.214 | − | 139.842i | −0.595120 | − | 0.343593i | ||||
\(408\) | 183.746 | + | 183.746i | 0.450358 | + | 0.450358i | ||||
\(409\) | 353.679 | − | 94.7679i | 0.864740 | − | 0.231706i | 0.200928 | − | 0.979606i | \(-0.435604\pi\) |
0.663812 | + | 0.747899i | \(0.268937\pi\) | |||||||
\(410\) | −60.6122 | − | 226.208i | −0.147835 | − | 0.551726i | ||||
\(411\) | 137.301 | − | 137.301i | 0.334066 | − | 0.334066i | ||||
\(412\) | −24.0122 | + | 41.5903i | −0.0582820 | + | 0.100947i | ||||
\(413\) | −321.397 | + | 185.559i | −0.778202 | + | 0.449295i | ||||
\(414\) | −28.0981 | − | 7.52886i | −0.0678697 | − | 0.0181856i | ||||
\(415\) | 607.023i | 1.46271i | ||||||||
\(416\) | 39.3416 | + | 39.3416i | 0.0945712 | + | 0.0945712i | ||||
\(417\) | 315.741 | 0.757173 | ||||||||
\(418\) | −11.1769 | + | 41.7128i | −0.0267390 | + | 0.0997914i | ||||
\(419\) | 275.279 | + | 476.797i | 0.656990 | + | 1.13794i | 0.981391 | + | 0.192020i | \(0.0615039\pi\) |
−0.324401 | + | 0.945920i | \(0.605163\pi\) | |||||||
\(420\) | −34.3013 | − | 19.8038i | −0.0816697 | − | 0.0471520i | ||||
\(421\) | −233.619 | − | 233.619i | −0.554913 | − | 0.554913i | 0.372942 | − | 0.927855i | \(-0.378349\pi\) |
−0.927855 | + | 0.372942i | \(0.878349\pi\) | |||||||
\(422\) | −386.820 | + | 103.648i | −0.916635 | + | 0.245612i | ||||
\(423\) | −0.180183 | − | 0.672450i | −0.000425963 | − | 0.00158972i | ||||
\(424\) | −459.212 | + | 459.212i | −1.08305 | + | 1.08305i | ||||
\(425\) | −75.7006 | + | 131.117i | −0.178119 | + | 0.308511i | ||||
\(426\) | −146.818 | + | 84.7654i | −0.344643 | + | 0.198980i | ||||
\(427\) | −832.640 | − | 223.105i | −1.94998 | − | 0.522494i | ||||
\(428\) | − | 21.7935i | − | 0.0509195i | ||||||
\(429\) | −161.100 | + | 161.100i | −0.375524 | + | 0.375524i | ||||
\(430\) | 619.808 | 1.44141 | ||||||||
\(431\) | 188.301 | − | 702.750i | 0.436894 | − | 1.63051i | −0.299599 | − | 0.954065i | \(-0.596853\pi\) |
0.736493 | − | 0.676445i | \(-0.236480\pi\) | |||||||
\(432\) | 213.818 | + | 370.344i | 0.494949 | + | 0.857277i | ||||
\(433\) | 576.108 | + | 332.616i | 1.33050 | + | 0.768166i | 0.985377 | − | 0.170390i | \(-0.0545028\pi\) |
0.345126 | + | 0.938556i | \(0.387836\pi\) | |||||||
\(434\) | −32.6410 | − | 32.6410i | −0.0752097 | − | 0.0752097i | ||||
\(435\) | −185.629 | + | 49.7391i | −0.426733 | + | 0.114343i | ||||
\(436\) | −0.00188678 | − | 0.00704156i | −4.32747e−6 | − | 1.61504e-5i | ||||
\(437\) | −24.1577 | + | 24.1577i | −0.0552807 | + | 0.0552807i | ||||
\(438\) | 180.165 | − | 312.054i | 0.411335 | − | 0.712453i | ||||
\(439\) | 233.942 | − | 135.067i | 0.532898 | − | 0.307669i | −0.209298 | − | 0.977852i | \(-0.567118\pi\) |
0.742196 | + | 0.670183i | \(0.233784\pi\) | |||||||
\(440\) | 315.440 | + | 84.5218i | 0.716908 | + | 0.192095i | ||||
\(441\) | 42.6743i | 0.0967672i | ||||||||
\(442\) | 279.842 | + | 74.9833i | 0.633126 | + | 0.169646i | ||||
\(443\) | 309.723 | 0.699149 | 0.349575 | − | 0.936909i | \(-0.386326\pi\) | ||||
0.349575 | + | 0.936909i | \(0.386326\pi\) | |||||||
\(444\) | −8.26091 | + | 30.8301i | −0.0186056 | + | 0.0694372i | ||||
\(445\) | 101.734 | + | 176.208i | 0.228616 | + | 0.395974i | ||||
\(446\) | 546.428 | + | 315.480i | 1.22517 | + | 0.707354i | ||||
\(447\) | −526.181 | − | 526.181i | −1.17714 | − | 1.17714i | ||||
\(448\) | 572.965 | − | 153.526i | 1.27894 | − | 0.342691i | ||||
\(449\) | 114.399 | + | 426.944i | 0.254787 | + | 0.950878i | 0.968209 | + | 0.250143i | \(0.0804777\pi\) |
−0.713422 | + | 0.700735i | \(0.752856\pi\) | |||||||
\(450\) | −27.5359 | + | 27.5359i | −0.0611909 | + | 0.0611909i | ||||
\(451\) | 62.9705 | − | 109.068i | 0.139624 | − | 0.241836i | ||||
\(452\) | 21.3531 | − | 12.3282i | 0.0472415 | − | 0.0272749i | ||||
\(453\) | 246.296 | + | 65.9948i | 0.543700 | + | 0.145684i | ||||
\(454\) | − | 469.440i | − | 1.03401i | ||||||
\(455\) | −703.367 | −1.54586 | ||||||||
\(456\) | 78.4974 | 0.172143 | ||||||||
\(457\) | −46.6980 | + | 174.279i | −0.102184 | + | 0.381355i | −0.998010 | − | 0.0630483i | \(-0.979918\pi\) |
0.895827 | + | 0.444404i | \(0.146584\pi\) | |||||||
\(458\) | −103.452 | − | 179.184i | −0.225878 | − | 0.391231i | ||||
\(459\) | −287.569 | − | 166.028i | −0.626512 | − | 0.361717i | ||||
\(460\) | 11.4693 | + | 11.4693i | 0.0249332 | + | 0.0249332i | ||||
\(461\) | −201.397 | + | 53.9641i | −0.436869 | + | 0.117059i | −0.470549 | − | 0.882374i | \(-0.655944\pi\) |
0.0336796 | + | 0.999433i | \(0.489277\pi\) | |||||||
\(462\) | 76.7846 | + | 286.564i | 0.166200 | + | 0.620269i | ||||
\(463\) | −316.809 | + | 316.809i | −0.684253 | + | 0.684253i | −0.960956 | − | 0.276703i | \(-0.910758\pi\) |
0.276703 | + | 0.960956i | \(0.410758\pi\) | |||||||
\(464\) | 84.6244 | − | 146.574i | 0.182380 | − | 0.315892i | ||||
\(465\) | −39.8372 | + | 23.0000i | −0.0856713 | + | 0.0494624i | ||||
\(466\) | −568.377 | − | 152.296i | −1.21969 | − | 0.326816i | ||||
\(467\) | − | 357.415i | − | 0.765343i | −0.923884 | − | 0.382672i | \(-0.875004\pi\) | ||
0.923884 | − | 0.382672i | \(-0.124996\pi\) | |||||||
\(468\) | −4.63328 | − | 2.67503i | −0.00990018 | − | 0.00571587i | ||||
\(469\) | 676.238 | 1.44187 | ||||||||
\(470\) | 1.39935 | − | 5.22243i | 0.00297733 | − | 0.0111116i | ||||
\(471\) | −65.2224 | − | 112.969i | −0.138477 | − | 0.239848i | ||||
\(472\) | −302.412 | − | 174.597i | −0.640702 | − | 0.369910i | ||||
\(473\) | 235.692 | + | 235.692i | 0.498292 | + | 0.498292i | ||||
\(474\) | −421.846 | + | 113.033i | −0.889971 | + | 0.238467i | ||||
\(475\) | 11.8372 | + | 44.1769i | 0.0249204 | + | 0.0930040i | ||||
\(476\) | −19.1525 | + | 19.1525i | −0.0402364 | + | 0.0402364i | ||||
\(477\) | 60.4878 | − | 104.768i | 0.126809 | − | 0.219639i | ||||
\(478\) | −593.056 | + | 342.401i | −1.24070 | + | 0.716321i | ||||
\(479\) | 417.217 | + | 111.793i | 0.871017 | + | 0.233388i | 0.666528 | − | 0.745480i | \(-0.267780\pi\) |
0.204490 | + | 0.978869i | \(0.434447\pi\) | |||||||
\(480\) | − | 72.1962i | − | 0.150409i | ||||||
\(481\) | 146.700 | + | 547.492i | 0.304989 | + | 1.13824i | ||||
\(482\) | −86.9474 | −0.180389 | ||||||||
\(483\) | −60.7461 | + | 226.708i | −0.125768 | + | 0.469374i | ||||
\(484\) | −10.6980 | − | 18.5295i | −0.0221034 | − | 0.0382842i | ||||
\(485\) | −414.145 | − | 239.107i | −0.853908 | − | 0.493004i | ||||
\(486\) | −111.981 | − | 111.981i | −0.230413 | − | 0.230413i | ||||
\(487\) | 286.937 | − | 76.8846i | 0.589193 | − | 0.157874i | 0.0481088 | − | 0.998842i | \(-0.484681\pi\) |
0.541084 | + | 0.840968i | \(0.318014\pi\) | |||||||
\(488\) | −209.926 | − | 783.453i | −0.430175 | − | 1.60544i | ||||
\(489\) | 121.531 | − | 121.531i | 0.248529 | − | 0.248529i | ||||
\(490\) | −165.710 | + | 287.019i | −0.338184 | + | 0.585752i | ||||
\(491\) | 685.319 | − | 395.669i | 1.39576 | − | 0.805844i | 0.401817 | − | 0.915720i | \(-0.368379\pi\) |
0.993945 | + | 0.109877i | \(0.0350456\pi\) | |||||||
\(492\) | −13.8827 | − | 3.71985i | −0.0282168 | − | 0.00756068i | ||||
\(493\) | 131.420i | 0.266573i | ||||||||
\(494\) | 75.7917 | − | 43.7583i | 0.153424 | − | 0.0885796i | ||||
\(495\) | −60.8334 | −0.122896 | ||||||||
\(496\) | 10.4852 | − | 39.1314i | 0.0211396 | − | 0.0788939i | ||||
\(497\) | −140.732 | − | 243.755i | −0.283163 | − | 0.490453i | ||||
\(498\) | −449.363 | − | 259.440i | −0.902335 | − | 0.520963i | ||||
\(499\) | −307.603 | − | 307.603i | −0.616438 | − | 0.616438i | 0.328178 | − | 0.944616i | \(-0.393565\pi\) |
−0.944616 | + | 0.328178i | \(0.893565\pi\) | |||||||
\(500\) | −18.9782 | + | 5.08519i | −0.0379564 | + | 0.0101704i | ||||
\(501\) | 129.138 | + | 481.951i | 0.257761 | + | 0.961978i | ||||
\(502\) | −183.564 | + | 183.564i | −0.365665 | + | 0.365665i | ||||
\(503\) | −142.200 | + | 246.297i | −0.282704 | + | 0.489657i | −0.972050 | − | 0.234775i | \(-0.924565\pi\) |
0.689346 | + | 0.724432i | \(0.257898\pi\) | |||||||
\(504\) | −96.1000 | + | 55.4833i | −0.190675 | + | 0.110086i | ||||
\(505\) | −202.749 | − | 54.3264i | −0.401483 | − | 0.107577i | ||||
\(506\) | − | 121.492i | − | 0.240103i | ||||||
\(507\) | 461.717 | 0.910684 | ||||||||
\(508\) | 19.6987 | 0.0387770 | ||||||||
\(509\) | 3.39488 | − | 12.6699i | 0.00666971 | − | 0.0248917i | −0.962511 | − | 0.271243i | \(-0.912565\pi\) |
0.969180 | + | 0.246352i | \(0.0792318\pi\) | |||||||
\(510\) | −187.969 | − | 325.571i | −0.368566 | − | 0.638375i | ||||
\(511\) | 518.090 | + | 299.119i | 1.01387 | + | 0.585360i | ||||
\(512\) | 391.419 | + | 391.419i | 0.764489 | + | 0.764489i | ||||
\(513\) | −96.8897 | + | 25.9615i | −0.188869 | + | 0.0506073i | ||||
\(514\) | 163.521 | + | 610.269i | 0.318134 | + | 1.18729i | ||||
\(515\) | 782.520 | − | 782.520i | 1.51946 | − | 1.51946i | ||||
\(516\) | 19.0192 | − | 32.9423i | 0.0368590 | − | 0.0638416i | ||||
\(517\) | 2.51804 | − | 1.45379i | 0.00487049 | − | 0.00281198i | ||||
\(518\) | 712.927 | + | 191.028i | 1.37631 | + | 0.368780i | ||||
\(519\) | 772.477i | 1.48839i | ||||||||
\(520\) | −330.908 | − | 573.150i | −0.636362 | − | 1.10221i | ||||
\(521\) | −913.011 | −1.75242 | −0.876210 | − | 0.481929i | \(-0.839936\pi\) | ||||
−0.876210 | + | 0.481929i | \(0.839936\pi\) | |||||||
\(522\) | −8.74871 | + | 32.6506i | −0.0167600 | + | 0.0625491i | ||||
\(523\) | −375.827 | − | 650.951i | −0.718598 | − | 1.24465i | −0.961555 | − | 0.274612i | \(-0.911451\pi\) |
0.242957 | − | 0.970037i | \(-0.421883\pi\) | |||||||
\(524\) | 11.3660 | + | 6.56218i | 0.0216909 | + | 0.0125232i | ||||
\(525\) | 222.172 | + | 222.172i | 0.423184 | + | 0.423184i | ||||
\(526\) | 842.209 | − | 225.669i | 1.60116 | − | 0.429029i | ||||
\(527\) | 8.14171 | + | 30.3853i | 0.0154492 | + | 0.0576570i | ||||
\(528\) | −184.105 | + | 184.105i | −0.348684 | + | 0.348684i | ||||
\(529\) | −216.442 | + | 374.889i | −0.409154 | + | 0.708675i | ||||
\(530\) | 813.656 | − | 469.765i | 1.53520 | − | 0.886348i | ||||
\(531\) | 62.8320 | + | 16.8358i | 0.118328 | + | 0.0317058i | ||||
\(532\) | 8.18207i | 0.0153798i | ||||||||
\(533\) | −246.533 | + | 66.0584i | −0.462539 | + | 0.123937i | ||||
\(534\) | −173.923 | −0.325699 | ||||||||
\(535\) | −129.979 | + | 485.088i | −0.242951 | + | 0.906706i | ||||
\(536\) | 318.145 | + | 551.044i | 0.593555 | + | 1.02807i | ||||
\(537\) | 707.338 | + | 408.382i | 1.31720 | + | 0.760488i | ||||
\(538\) | −214.067 | − | 214.067i | −0.397893 | − | 0.397893i | ||||
\(539\) | −172.158 | + | 46.1295i | −0.319402 | + | 0.0855835i | ||||
\(540\) | 12.3257 | + | 46.0000i | 0.0228253 | + | 0.0851852i | ||||
\(541\) | 125.371 | − | 125.371i | 0.231740 | − | 0.231740i | −0.581679 | − | 0.813419i | \(-0.697604\pi\) |
0.813419 | + | 0.581679i | \(0.197604\pi\) | |||||||
\(542\) | −247.133 | + | 428.047i | −0.455965 | + | 0.789755i | ||||
\(543\) | −707.633 | + | 408.552i | −1.30319 | + | 0.752398i | ||||
\(544\) | −47.6891 | − | 12.7783i | −0.0876638 | − | 0.0234894i | ||||
\(545\) | 0.167986i | 0.000308232i | ||||||||
\(546\) | 300.617 | − | 520.683i | 0.550580 | − | 0.953632i | ||||
\(547\) | −465.096 | −0.850267 | −0.425134 | − | 0.905131i | \(-0.639773\pi\) | ||||
−0.425134 | + | 0.905131i | \(0.639773\pi\) | |||||||
\(548\) | −4.92889 | + | 18.3949i | −0.00899433 | + | 0.0335673i | ||||
\(549\) | 75.5455 | + | 130.849i | 0.137606 | + | 0.238340i | ||||
\(550\) | −140.851 | − | 81.3205i | −0.256093 | − | 0.147855i | ||||
\(551\) | 28.0718 | + | 28.0718i | 0.0509470 | + | 0.0509470i | ||||
\(552\) | −213.315 | + | 57.1577i | −0.386441 | + | 0.103547i | ||||
\(553\) | −187.664 | − | 700.372i | −0.339356 | − | 1.26649i | ||||
\(554\) | 91.3135 | − | 91.3135i | 0.164826 | − | 0.164826i | ||||
\(555\) | 367.748 | − | 636.958i | 0.662609 | − | 1.14767i | ||||
\(556\) | −26.8179 | + | 15.4833i | −0.0482337 | + | 0.0278477i | ||||
\(557\) | 246.064 | + | 65.9327i | 0.441767 | + | 0.118371i | 0.472844 | − | 0.881146i | \(-0.343227\pi\) |
−0.0310777 | + | 0.999517i | \(0.509894\pi\) | |||||||
\(558\) | 8.09103i | 0.0145001i | ||||||||
\(559\) | − | 675.500i | − | 1.20841i | ||||||
\(560\) | −803.808 | −1.43537 | ||||||||
\(561\) | 52.3257 | − | 195.282i | 0.0932721 | − | 0.348096i | ||||
\(562\) | 151.665 | + | 262.691i | 0.269866 | + | 0.467422i | ||||
\(563\) | 306.888 | + | 177.182i | 0.545095 | + | 0.314711i | 0.747141 | − | 0.664665i | \(-0.231426\pi\) |
−0.202046 | + | 0.979376i | \(0.564759\pi\) | |||||||
\(564\) | −0.234628 | − | 0.234628i | −0.000416007 | − | 0.000416007i | ||||
\(565\) | −548.812 | + | 147.054i | −0.971349 | + | 0.260272i | ||||
\(566\) | −23.7846 | − | 88.7654i | −0.0420223 | − | 0.156829i | ||||
\(567\) | −401.622 | + | 401.622i | −0.708328 | + | 0.708328i | ||||
\(568\) | 132.419 | − | 229.356i | 0.233131 | − | 0.403795i | ||||
\(569\) | −152.685 | + | 88.1525i | −0.268339 | + | 0.154925i | −0.628132 | − | 0.778106i | \(-0.716180\pi\) |
0.359794 | + | 0.933032i | \(0.382847\pi\) | |||||||
\(570\) | −109.694 | − | 29.3923i | −0.192445 | − | 0.0515654i | ||||
\(571\) | − | 569.751i | − | 0.997813i | −0.866656 | − | 0.498907i | \(-0.833735\pi\) | ||
0.866656 | − | 0.498907i | \(-0.166265\pi\) | |||||||
\(572\) | 5.78323 | − | 21.5833i | 0.0101105 | − | 0.0377330i | ||||
\(573\) | −644.774 | −1.12526 | ||||||||
\(574\) | −86.0192 | + | 321.028i | −0.149859 | + | 0.559283i | ||||
\(575\) | −64.3346 | − | 111.431i | −0.111886 | − | 0.193793i | ||||
\(576\) | −90.0411 | − | 51.9852i | −0.156321 | − | 0.0902521i | ||||
\(577\) | −94.7635 | − | 94.7635i | −0.164235 | − | 0.164235i | 0.620205 | − | 0.784440i | \(-0.287049\pi\) |
−0.784440 | + | 0.620205i | \(0.787049\pi\) | |||||||
\(578\) | 290.956 | − | 77.9615i | 0.503385 | − | 0.134882i | ||||
\(579\) | −228.729 | − | 853.627i | −0.395041 | − | 1.47431i | ||||
\(580\) | 13.3275 | − | 13.3275i | 0.0229785 | − | 0.0229785i | ||||
\(581\) | 430.736 | − | 746.056i | 0.741370 | − | 1.28409i | ||||
\(582\) | 354.009 | − | 204.387i | 0.608263 | − | 0.351181i | ||||
\(583\) | 488.042 | + | 130.771i | 0.837122 | + | 0.224306i | ||||
\(584\) | 562.899i | 0.963868i | ||||||||
\(585\) | 87.1750 | + | 87.1750i | 0.149017 | + | 0.149017i | ||||
\(586\) | −16.7372 | −0.0285618 | ||||||||
\(587\) | −283.123 | + | 1056.63i | −0.482322 | + | 1.80005i | 0.109507 | + | 0.993986i | \(0.465073\pi\) |
−0.591829 | + | 0.806064i | \(0.701594\pi\) | |||||||
\(588\) | 10.1699 | + | 17.6147i | 0.0172957 | + | 0.0299570i | ||||
\(589\) | 8.22947 | + | 4.75129i | 0.0139719 | + | 0.00806670i | ||||
\(590\) | 357.219 | + | 357.219i | 0.605456 | + | 0.605456i | ||||
\(591\) | 633.305 | − | 169.694i | 1.07158 | − | 0.287130i | ||||
\(592\) | 167.649 | + | 625.674i | 0.283190 | + | 1.05688i | ||||
\(593\) | −228.671 | + | 228.671i | −0.385617 | + | 0.385617i | −0.873121 | − | 0.487504i | \(-0.837908\pi\) |
0.487504 | + | 0.873121i | \(0.337908\pi\) | |||||||
\(594\) | 178.354 | − | 308.918i | 0.300259 | − | 0.520064i | ||||
\(595\) | 540.531 | − | 312.076i | 0.908455 | − | 0.524497i | ||||
\(596\) | 70.4948 | + | 18.8890i | 0.118280 | + | 0.0316930i | ||||
\(597\) | − | 140.536i | − | 0.235404i | ||||||
\(598\) | −174.100 | + | 174.100i | −0.291137 | + | 0.291137i | ||||
\(599\) | −282.596 | −0.471780 | −0.235890 | − | 0.971780i | \(-0.575800\pi\) | ||||
−0.235890 | + | 0.971780i | \(0.575800\pi\) | |||||||
\(600\) | −76.5167 | + | 285.564i | −0.127528 | + | 0.475940i | ||||
\(601\) | 70.6558 | + | 122.379i | 0.117564 | + | 0.203626i | 0.918802 | − | 0.394720i | \(-0.129158\pi\) |
−0.801238 | + | 0.598346i | \(0.795825\pi\) | |||||||
\(602\) | −761.769 | − | 439.808i | −1.26540 | − | 0.730577i | ||||
\(603\) | −83.8128 | − | 83.8128i | −0.138993 | − | 0.138993i | ||||
\(604\) | −24.1558 | + | 6.47252i | −0.0399930 | + | 0.0107161i | ||||
\(605\) | 127.608 | + | 476.241i | 0.210923 | + | 0.787175i | ||||
\(606\) | 126.870 | − | 126.870i | 0.209357 | − | 0.209357i | ||||
\(607\) | −344.398 | + | 596.515i | −0.567377 | + | 0.982726i | 0.429447 | + | 0.903092i | \(0.358709\pi\) |
−0.996824 | + | 0.0796341i | \(0.974625\pi\) | |||||||
\(608\) | −12.9160 | + | 7.45706i | −0.0212434 | + | 0.0122649i | ||||
\(609\) | 263.440 | + | 70.5885i | 0.432578 | + | 0.115909i | ||||
\(610\) | 1173.41i | 1.92363i | ||||||||
\(611\) | −5.69169 | − | 1.52508i | −0.00931537 | − | 0.00249604i | ||||
\(612\) | 4.74752 | 0.00775738 | ||||||||
\(613\) | 33.1608 | − | 123.758i | 0.0540959 | − | 0.201888i | −0.933589 | − | 0.358346i | \(-0.883341\pi\) |
0.987685 | + | 0.156458i | \(0.0500075\pi\) | |||||||
\(614\) | −311.753 | − | 539.972i | −0.507741 | − | 0.879434i | ||||
\(615\) | 286.820 | + | 165.595i | 0.466374 | + | 0.269261i | ||||
\(616\) | −327.713 | − | 327.713i | −0.532001 | − | 0.532001i | ||||
\(617\) | −103.088 | + | 27.6225i | −0.167080 | + | 0.0447690i | −0.341389 | − | 0.939922i | \(-0.610897\pi\) |
0.174309 | + | 0.984691i | \(0.444231\pi\) | |||||||
\(618\) | 244.832 | + | 913.726i | 0.396168 | + | 1.47852i | ||||
\(619\) | 251.517 | − | 251.517i | 0.406327 | − | 0.406327i | −0.474128 | − | 0.880456i | \(-0.657237\pi\) |
0.880456 | + | 0.474128i | \(0.157237\pi\) | |||||||
\(620\) | 2.25575 | − | 3.90708i | 0.00363831 | − | 0.00630174i | ||||
\(621\) | 244.392 | − | 141.100i | 0.393546 | − | 0.227214i | ||||
\(622\) | 144.576 | + | 38.7391i | 0.232438 | + | 0.0622815i | ||||
\(623\) | − | 288.756i | − | 0.463493i | ||||||
\(624\) | 527.650 | 0.845593 | ||||||||
\(625\) | 780.860 | 1.24938 | ||||||||
\(626\) | 82.8423 | − | 309.172i | 0.132336 | − | 0.493885i | ||||
\(627\) | −30.5359 | − | 52.8897i | −0.0487016 | − | 0.0843536i | ||||
\(628\) | 11.0795 | + | 6.39677i | 0.0176426 | + | 0.0101859i | ||||
\(629\) | −355.653 | − | 355.653i | −0.565426 | − | 0.565426i | ||||
\(630\) | 155.067 | − | 41.5500i | 0.246138 | − | 0.0659524i | ||||
\(631\) | −103.187 | − | 385.100i | −0.163530 | − | 0.610301i | −0.998223 | − | 0.0595863i | \(-0.981022\pi\) |
0.834693 | − | 0.550715i | \(-0.185645\pi\) | |||||||
\(632\) | 482.420 | − | 482.420i | 0.763324 | − | 0.763324i | ||||
\(633\) | 283.172 | − | 490.468i | 0.447349 | − | 0.774831i | ||||
\(634\) | −229.633 | + | 132.579i | −0.362198 | + | 0.209115i | ||||
\(635\) | −438.461 | − | 117.485i | −0.690490 | − | 0.185016i | ||||
\(636\) | − | 57.6603i | − | 0.0906608i | ||||||
\(637\) | 312.808 | + | 180.600i | 0.491065 | + | 0.283516i | ||||
\(638\) | −141.177 | −0.221280 | ||||||||
\(639\) | −12.7686 | + | 47.6532i | −0.0199822 | + | 0.0745747i | ||||
\(640\) | −350.880 | − | 607.742i | −0.548250 | − | 0.949597i | ||||
\(641\) | −248.283 | − | 143.346i | −0.387337 | − | 0.223629i | 0.293669 | − | 0.955907i | \(-0.405124\pi\) |
−0.681005 | + | 0.732278i | \(0.738457\pi\) | |||||||
\(642\) | −303.545 | − | 303.545i | −0.472811 | − | 0.472811i | ||||
\(643\) | 837.927 | − | 224.522i | 1.30315 | − | 0.349179i | 0.460511 | − | 0.887654i | \(-0.347666\pi\) |
0.842641 | + | 0.538475i | \(0.181000\pi\) | |||||||
\(644\) | −5.95775 | − | 22.2346i | −0.00925117 | − | 0.0345258i | ||||
\(645\) | −619.808 | + | 619.808i | −0.960942 | + | 0.960942i | ||||
\(646\) | −38.8301 | + | 67.2558i | −0.0601086 | + | 0.104111i | ||||
\(647\) | −856.944 | + | 494.757i | −1.32449 | + | 0.764694i | −0.984441 | − | 0.175714i | \(-0.943776\pi\) |
−0.340047 | + | 0.940408i | \(0.610443\pi\) | |||||||
\(648\) | −516.217 | − | 138.320i | −0.796631 | − | 0.213457i | ||||
\(649\) | 271.677i | 0.418609i | ||||||||
\(650\) | 85.3083 | + | 318.375i | 0.131244 | + | 0.489808i | ||||
\(651\) | 65.2820 | 0.100280 | ||||||||
\(652\) | −4.36276 | + | 16.2820i | −0.00669135 | + | 0.0249724i | ||||
\(653\) | 67.5692 | + | 117.033i | 0.103475 | + | 0.179224i | 0.913114 | − | 0.407704i | \(-0.133670\pi\) |
−0.809639 | + | 0.586928i | \(0.800337\pi\) | |||||||
\(654\) | −0.124356 | − | 0.0717968i | −0.000190146 | − | 0.000109781i | ||||
\(655\) | −213.851 | − | 213.851i | −0.326490 | − | 0.326490i | ||||
\(656\) | −281.738 | + | 75.4916i | −0.429479 | + | 0.115079i | ||||
\(657\) | −27.1391 | − | 101.285i | −0.0413077 | − | 0.154162i | ||||
\(658\) | −5.42563 | + | 5.42563i | −0.00824563 | + | 0.00824563i | ||||
\(659\) | −618.512 | + | 1071.29i | −0.938561 | + | 1.62563i | −0.170403 | + | 0.985375i | \(0.554507\pi\) |
−0.768158 | + | 0.640260i | \(0.778826\pi\) | |||||||
\(660\) | −25.1103 | + | 14.4974i | −0.0380459 | + | 0.0219658i | ||||
\(661\) | −89.8083 | − | 24.0641i | −0.135867 | − | 0.0364055i | 0.190244 | − | 0.981737i | \(-0.439072\pi\) |
−0.326112 | + | 0.945331i | \(0.605739\pi\) | |||||||
\(662\) | − | 585.205i | − | 0.883996i | ||||||
\(663\) | −354.825 | + | 204.858i | −0.535181 | + | 0.308987i | ||||
\(664\) | 810.582 | 1.22076 | ||||||||
\(665\) | 48.7987 | − | 182.119i | 0.0733815 | − | 0.273863i | ||||
\(666\) | −64.6840 | − | 112.036i | −0.0971231 | − | 0.168222i | ||||
\(667\) | −96.7250 | − | 55.8442i | −0.145015 | − | 0.0837245i | ||||
\(668\) | −34.6025 | − | 34.6025i | −0.0518002 | − | 0.0518002i | ||||
\(669\) | −861.908 | + | 230.947i | −1.28835 | + | 0.345213i | ||||
\(670\) | −238.251 | − | 889.163i | −0.355598 | − | 1.32711i | ||||
\(671\) | −446.210 | + | 446.210i | −0.664993 | + | 0.664993i | ||||
\(672\) | −51.2295 | + | 88.7321i | −0.0762343 | + | 0.132042i | ||||
\(673\) | 242.210 | − | 139.840i | 0.359895 | − | 0.207786i | −0.309140 | − | 0.951017i | \(-0.600041\pi\) |
0.669035 | + | 0.743231i | \(0.266708\pi\) | |||||||
\(674\) | −169.397 | − | 45.3897i | −0.251331 | − | 0.0673438i | ||||
\(675\) | − | 377.779i | − | 0.559673i | ||||||
\(676\) | −39.2166 | + | 22.6417i | −0.0580127 | + | 0.0334936i | ||||
\(677\) | 1115.38 | 1.64754 | 0.823770 | − | 0.566924i | \(-0.191867\pi\) | ||||
0.823770 | + | 0.566924i | \(0.191867\pi\) | |||||||
\(678\) | 125.701 | − | 469.121i | 0.185399 | − | 0.691919i | ||||
\(679\) | 339.335 | + | 587.745i | 0.499756 | + | 0.865603i | ||||
\(680\) | 508.600 | + | 293.640i | 0.747941 | + | 0.431824i | ||||
\(681\) | 469.440 | + | 469.440i | 0.689339 | + | 0.689339i | ||||
\(682\) | −32.6410 | + | 8.74613i | −0.0478607 | + | 0.0128242i | ||||
\(683\) | 220.046 | + | 821.221i | 0.322175 | + | 1.20237i | 0.917121 | + | 0.398608i | \(0.130507\pi\) |
−0.594946 | + | 0.803765i | \(0.702827\pi\) | |||||||
\(684\) | 1.01408 | − | 1.01408i | 0.00148258 | − | 0.00148258i | ||||
\(685\) | 219.418 | − | 380.043i | 0.320318 | − | 0.554807i | ||||
\(686\) | −311.023 | + | 179.569i | −0.453386 | + | 0.261763i | ||||
\(687\) | 282.636 | + | 75.7321i | 0.411406 | + | 0.110236i | ||||
\(688\) | − | 771.962i | − | 1.12204i | ||||||
\(689\) | −511.975 | − | 886.767i | −0.743070 | − | 1.28703i | ||||
\(690\) | 319.492 | 0.463032 | ||||||||
\(691\) | −142.754 | + | 532.764i | −0.206590 | + | 0.771004i | 0.782369 | + | 0.622815i | \(0.214011\pi\) |
−0.988959 | + | 0.148189i | \(0.952656\pi\) | |||||||
\(692\) | −37.8808 | − | 65.6115i | −0.0547410 | − | 0.0948143i | ||||
\(693\) | 74.7668 | + | 43.1666i | 0.107889 | + | 0.0622895i | ||||
\(694\) | 143.679 | + | 143.679i | 0.207031 | + | 0.207031i | ||||
\(695\) | 689.267 | − | 184.688i | 0.991750 | − | 0.265739i | ||||
\(696\) | 66.4186 | + | 247.878i | 0.0954290 | + | 0.356146i | ||||
\(697\) | 160.149 | − | 160.149i | 0.229769 | − | 0.229769i | ||||
\(698\) | −158.040 | + | 273.734i | −0.226419 | + | 0.392169i | ||||
\(699\) | 720.673 | − | 416.081i | 1.03101 | − | 0.595251i | ||||
\(700\) | −29.7654 | − | 7.97561i | −0.0425220 | − | 0.0113937i | ||||
\(701\) | − | 650.323i | − | 0.927707i | −0.885912 | − | 0.463854i | \(-0.846466\pi\) | ||
0.885912 | − | 0.463854i | \(-0.153534\pi\) | |||||||
\(702\) | −698.267 | + | 187.100i | −0.994682 | + | 0.266524i | ||||
\(703\) | −151.937 | −0.216127 | ||||||||
\(704\) | 112.389 | − | 419.440i | 0.159643 | − | 0.595795i | ||||
\(705\) | 3.82309 | + | 6.62178i | 0.00542282 | + | 0.00939259i | ||||
\(706\) | 498.829 | + | 287.999i | 0.706557 | + | 0.407931i | ||||
\(707\) | 210.637 | + | 210.637i | 0.297931 | + | 0.297931i | ||||
\(708\) | 29.9474 | − | 8.02439i | 0.0422986 | − | 0.0113339i | ||||
\(709\) | 135.185 | + | 504.518i | 0.190670 | + | 0.711591i | 0.993345 | + | 0.115174i | \(0.0367426\pi\) |
−0.802675 | + | 0.596416i | \(0.796591\pi\) | |||||||
\(710\) | −270.923 | + | 270.923i | −0.381582 | + | 0.381582i | ||||
\(711\) | −63.5448 | + | 110.063i | −0.0893739 | + | 0.154800i | ||||
\(712\) | 235.298 | − | 135.849i | 0.330475 | − | 0.190800i | ||||
\(713\) | −25.8231 | − | 6.91927i | −0.0362175 | − | 0.00970445i | ||||
\(714\) | 533.520i | 0.747227i | ||||||||
\(715\) | −257.450 | + | 445.917i | −0.360070 | + | 0.623659i | ||||
\(716\) | −80.1051 | −0.111879 | ||||||||
\(717\) | 250.655 | − | 935.458i | 0.349589 | − | 1.30468i | ||||
\(718\) | 409.703 | + | 709.626i | 0.570616 | + | 0.988336i | ||||
\(719\) | −74.3806 | − | 42.9437i | −0.103450 | − | 0.0597269i | 0.447382 | − | 0.894343i | \(-0.352356\pi\) |
−0.550832 | + | 0.834616i | \(0.685690\pi\) | |||||||
\(720\) | 99.6237 | + | 99.6237i | 0.138366 | + | 0.138366i | ||||
\(721\) | −1517.02 | + | 406.483i | −2.10405 | + | 0.563777i | ||||
\(722\) | −174.428 | − | 650.975i | −0.241590 | − | 0.901627i | ||||
\(723\) | 86.9474 | − | 86.9474i | 0.120259 | − | 0.120259i | ||||
\(724\) | 40.0692 | − | 69.4019i | 0.0553442 | − | 0.0958590i | ||||
\(725\) | −129.485 | + | 74.7583i | −0.178600 | + | 0.103115i | ||||
\(726\) | −407.088 | − | 109.079i | −0.560727 | − | 0.150246i | ||||
\(727\) | 460.974i | 0.634077i | 0.948413 | + | 0.317039i | \(0.102689\pi\) | ||||
−0.948413 | + | 0.317039i | \(0.897311\pi\) | |||||||
\(728\) | 939.233i | 1.29016i | ||||||||
\(729\) | 807.323 | 1.10744 | ||||||||
\(730\) | 210.770 | − | 786.604i | 0.288726 | − | 1.07754i | ||||
\(731\) | 299.711 | + | 519.115i | 0.410002 | + | 0.710144i | ||||
\(732\) | 62.3660 | + | 36.0070i | 0.0851995 | + | 0.0491899i | ||||
\(733\) | 631.319 | + | 631.319i | 0.861281 | + | 0.861281i | 0.991487 | − | 0.130206i | \(-0.0415640\pi\) |
−0.130206 | + | 0.991487i | \(0.541564\pi\) | |||||||
\(734\) | −228.681 | + | 61.2750i | −0.311555 | + | 0.0834809i | ||||
\(735\) | −121.308 | − | 452.729i | −0.165045 | − | 0.615958i | ||||
\(736\) | 29.6692 | − | 29.6692i | 0.0403114 | − | 0.0403114i | ||||
\(737\) | 247.520 | − | 428.718i | 0.335849 | − | 0.581707i | ||||
\(738\) | 50.4493 | − | 29.1269i | 0.0683595 | − | 0.0394674i | ||||
\(739\) | −794.424 | − | 212.865i | −1.07500 | − | 0.288045i | −0.322453 | − | 0.946585i | \(-0.604508\pi\) |
−0.752546 | + | 0.658540i | \(0.771174\pi\) | |||||||
\(740\) | 72.1347i | 0.0974793i | ||||||||
\(741\) | −32.0333 | + | 119.550i | −0.0432299 | + | 0.161336i | ||||
\(742\) | −1333.36 | −1.79698 | ||||||||
\(743\) | 209.252 | − | 780.941i | 0.281632 | − | 1.05106i | −0.669634 | − | 0.742692i | \(-0.733549\pi\) |
0.951266 | − | 0.308373i | \(-0.0997845\pi\) | |||||||
\(744\) | 30.7128 | + | 53.1962i | 0.0412807 | + | 0.0715002i | ||||
\(745\) | −1456.44 | − | 840.877i | −1.95495 | − | 1.12869i | ||||
\(746\) | −29.0648 | − | 29.0648i | −0.0389608 | − | 0.0389608i | ||||
\(747\) | −145.851 | + | 39.0807i | −0.195249 | + | 0.0523169i | ||||
\(748\) | 5.13190 | + | 19.1525i | 0.00686083 | + | 0.0256050i | ||||
\(749\) | 503.962 | − | 503.962i | 0.672846 | − | 0.672846i | ||||
\(750\) | −193.504 | + | 335.160i | −0.258006 | + | 0.446879i | ||||
\(751\) | −407.585 | + | 235.319i | −0.542723 | + | 0.313341i | −0.746182 | − | 0.665742i | \(-0.768115\pi\) |
0.203459 | + | 0.979083i | \(0.434782\pi\) | |||||||
\(752\) | −6.50446 | − | 1.74287i | −0.00864955 | − | 0.00231764i | ||||
\(753\) | − | 367.128i | − | 0.487554i | ||||||
\(754\) | 202.308 | + | 202.308i | 0.268313 | + | 0.268313i | ||||
\(755\) | 576.270 | 0.763272 | ||||||||
\(756\) | 17.4923 | − | 65.2820i | 0.0231379 | − | 0.0863519i | ||||
\(757\) | −310.415 | − | 537.655i | −0.410060 | − | 0.710245i | 0.584836 | − | 0.811152i | \(-0.301159\pi\) |
−0.994896 | + | 0.100907i | \(0.967826\pi\) | |||||||
\(758\) | 563.293 | + | 325.217i | 0.743130 | + | 0.429047i | ||||
\(759\) | 121.492 | + | 121.492i | 0.160069 | + | 0.160069i | ||||
\(760\) | 171.361 | − | 45.9160i | 0.225475 | − | 0.0604158i | ||||
\(761\) | −50.9559 | − | 190.170i | −0.0669591 | − | 0.249895i | 0.924331 | − | 0.381592i | \(-0.124624\pi\) |
−0.991290 | + | 0.131697i | \(0.957957\pi\) | |||||||
\(762\) | 274.368 | − | 274.368i | 0.360063 | − | 0.360063i | ||||
\(763\) | 0.119201 | − | 0.206462i | 0.000156227 | − | 0.000270592i | ||||
\(764\) | 54.7649 | − | 31.6185i | 0.0716818 | − | 0.0413855i | ||||
\(765\) | −105.672 | − | 28.3147i | −0.138133 | − | 0.0370126i | ||||
\(766\) | − | 366.123i | − | 0.477967i | ||||||
\(767\) | 389.317 | − | 389.317i | 0.507584 | − | 0.507584i | ||||
\(768\) | −139.909 | −0.182173 | ||||||||
\(769\) | 112.701 | − | 420.604i | 0.146555 | − | 0.546950i | −0.853127 | − | 0.521704i | \(-0.825297\pi\) |
0.999681 | − | 0.0252457i | \(-0.00803682\pi\) | |||||||
\(770\) | 335.244 | + | 580.659i | 0.435381 | + | 0.754102i | ||||
\(771\) | −773.790 | − | 446.748i | −1.00362 | − | 0.579440i | ||||
\(772\) | 61.2877 | + | 61.2877i | 0.0793882 | + | 0.0793882i | ||||
\(773\) | −8.31862 | + | 2.22897i | −0.0107615 | + | 0.00288353i | −0.264196 | − | 0.964469i | \(-0.585107\pi\) |
0.253434 | + | 0.967353i | \(0.418440\pi\) | |||||||
\(774\) | 39.9038 | + | 148.923i | 0.0515553 | + | 0.192407i | ||||
\(775\) | −25.3064 | + | 25.3064i | −0.0326535 | + | 0.0326535i | ||||
\(776\) | −319.289 | + | 553.025i | −0.411455 | + | 0.712661i | ||||
\(777\) | −903.955 | + | 521.899i | −1.16339 | + | 0.671684i | ||||
\(778\) | 364.849 | + | 97.7609i | 0.468957 | + | 0.125657i | ||||
\(779\) | − | 68.4167i | − | 0.0878263i | ||||||
\(780\) | 56.7583 | + | 15.2083i | 0.0727671 | + | 0.0194979i | ||||
\(781\) | −206.046 | −0.263823 | ||||||||
\(782\) | 56.5481 | − | 211.040i | 0.0723121 | − | 0.269873i | ||||
\(783\) | −163.962 | − | 283.990i | −0.209402 | − | 0.362694i | ||||
\(784\) | 357.477 | + | 206.390i | 0.455966 | + | 0.263252i | ||||
\(785\) | −208.461 | − | 208.461i | −0.265555 | − | 0.265555i | ||||
\(786\) | 249.708 | − | 66.9090i | 0.317694 | − | 0.0851259i | ||||
\(787\) | −115.617 | − | 431.489i | −0.146909 | − | 0.548271i | −0.999663 | − | 0.0259585i | \(-0.991736\pi\) |
0.852754 | − | 0.522312i | \(-0.174930\pi\) | |||||||
\(788\) | −45.4693 | + | 45.4693i | −0.0577021 | + | 0.0577021i | ||||
\(789\) | −616.540 | + | 1067.88i | −0.781419 | + | 1.35346i | ||||
\(790\) | −854.778 | + | 493.506i | −1.08200 | + | 0.624692i | ||||
\(791\) | 778.860 | + | 208.695i | 0.984653 | + | 0.263837i | ||||
\(792\) | 81.2332i | 0.102567i | ||||||||
\(793\) | 1278.85 | 1.61267 | ||||||||
\(794\) | 810.435 | 1.02070 | ||||||||
\(795\) | −343.892 | + | 1283.42i | −0.432568 | + | 1.61437i | ||||
\(796\) | 6.89161 | + | 11.9366i | 0.00865781 | + | 0.0149958i | ||||
\(797\) | 352.061 | + | 203.263i | 0.441733 | + | 0.255035i | 0.704333 | − | 0.709870i | \(-0.251246\pi\) |
−0.262599 | + | 0.964905i | \(0.584580\pi\) | |||||||
\(798\) | 113.962 | + | 113.962i | 0.142809 | + | 0.142809i | ||||
\(799\) | 5.05067 | − | 1.35332i | 0.00632124 | − | 0.00169377i | ||||
\(800\) | −14.5378 | − | 54.2558i | −0.0181722 | − | 0.0678197i | ||||
\(801\) | −35.7884 | + | 35.7884i | −0.0446796 | + | 0.0446796i | ||||
\(802\) | 753.833 | − | 1305.68i | 0.939942 | − | 1.62803i | ||||
\(803\) | 379.268 | − | 218.970i | 0.472314 | − | 0.272690i | ||||
\(804\) | −54.5692 | − | 14.6218i | −0.0678722 | − | 0.0181863i | ||||
\(805\) | 530.438i | 0.658930i | ||||||||
\(806\) | 59.3083 | + | 34.2417i | 0.0735835 | + | 0.0424835i | ||||
\(807\) | 428.133 | 0.530525 | ||||||||
\(808\) | −72.5441 | + | 270.738i | −0.0897823 | + | 0.335072i | ||||
\(809\) | −17.4634 | − | 30.2475i | −0.0215864 | − | 0.0373888i | 0.855030 | − | 0.518578i | \(-0.173538\pi\) |
−0.876617 | + | 0.481189i | \(0.840205\pi\) | |||||||
\(810\) | 669.577 | + | 386.581i | 0.826639 | + | 0.477260i | ||||
\(811\) | 755.708 | + | 755.708i | 0.931822 | + | 0.931822i | 0.997820 | − | 0.0659978i | \(-0.0210230\pi\) |
−0.0659978 | + | 0.997820i | \(0.521023\pi\) | |||||||
\(812\) | −25.8372 | + | 6.92305i | −0.0318192 | + | 0.00852592i | ||||
\(813\) | −180.914 | − | 675.181i | −0.222527 | − | 0.830481i | ||||
\(814\) | 382.056 | − | 382.056i | 0.469357 | − | 0.469357i | ||||
\(815\) | 194.215 | − | 336.391i | 0.238301 | − | 0.412750i | ||||
\(816\) | −405.494 | + | 234.112i | −0.496929 | + | 0.286902i | ||||
\(817\) | 174.904 | + | 46.8653i | 0.214081 | + | 0.0573627i | ||||
\(818\) | 707.358i | 0.864740i | ||||||||
\(819\) | −45.2834 | − | 169.000i | −0.0552911 | − | 0.206349i | ||||
\(820\) | −32.4820 | −0.0396121 | ||||||||
\(821\) | −254.210 | + | 948.724i | −0.309634 | + | 1.15557i | 0.619248 | + | 0.785196i | \(0.287438\pi\) |
−0.928882 | + | 0.370375i | \(0.879229\pi\) | |||||||
\(822\) | 187.557 | + | 324.858i | 0.228172 | + | 0.395205i | ||||
\(823\) | −1146.14 | − | 661.726i | −1.39264 | − | 0.804041i | −0.399033 | − | 0.916937i | \(-0.630654\pi\) |
−0.993607 | + | 0.112896i | \(0.963987\pi\) | |||||||
\(824\) | −1044.93 | − | 1044.93i | −1.26812 | − | 1.26812i | ||||
\(825\) | 222.172 | − | 59.5307i | 0.269299 | − | 0.0721585i | ||||
\(826\) | −185.559 | − | 692.515i | −0.224648 | − | 0.838396i | ||||
\(827\) | 51.7691 | − | 51.7691i | 0.0625987 | − | 0.0625987i | −0.675114 | − | 0.737713i | \(-0.735906\pi\) |
0.737713 | + | 0.675114i | \(0.235906\pi\) | |||||||
\(828\) | −2.01735 | + | 3.49415i | −0.00243641 | + | 0.00421999i | ||||
\(829\) | −21.9059 | + | 12.6474i | −0.0264245 | + | 0.0152562i | −0.513154 | − | 0.858297i | \(-0.671523\pi\) |
0.486730 | + | 0.873553i | \(0.338190\pi\) | |||||||
\(830\) | −1132.72 | − | 303.512i | −1.36472 | − | 0.365677i | ||||
\(831\) | 182.627i | 0.219768i | ||||||||
\(832\) | −762.117 | + | 440.008i | −0.916006 | + | 0.528856i | ||||
\(833\) | −320.520 | −0.384778 | ||||||||
\(834\) | −157.870 | + | 589.181i | −0.189293 | + | 0.706452i | ||||
\(835\) | 563.822 | + | 976.568i | 0.675236 | + | 1.16954i | ||||
\(836\) | 5.18722 | + | 2.99485i | 0.00620481 | + | 0.00358235i | ||||
\(837\) | −55.5026 | − | 55.5026i | −0.0663113 | − | 0.0663113i | ||||
\(838\) | −1027.35 | + | 275.279i | −1.22596 | + | 0.328495i | ||||
\(839\) | −232.757 | − | 868.661i | −0.277422 | − | 1.03535i | −0.954201 | − | 0.299166i | \(-0.903291\pi\) |
0.676779 | − | 0.736186i | \(-0.263375\pi\) | |||||||
\(840\) | 861.797 | − | 861.797i | 1.02595 | − | 1.02595i | ||||
\(841\) | 355.608 | − | 615.931i | 0.422839 | − | 0.732379i | ||||
\(842\) | 552.747 | − | 319.129i | 0.656470 | − | 0.379013i | ||||
\(843\) | −414.356 | − | 111.026i | −0.491525 | − | 0.131704i | ||||
\(844\) | 55.5448i | 0.0658114i | ||||||||
\(845\) | 1007.93 | − | 270.075i | 1.19282 | − | 0.319615i | ||||
\(846\) | 1.34490 | 0.00158972 | ||||||||
\(847\) | 181.099 | − | 675.869i | 0.213812 | − | 0.797956i | ||||
\(848\) | −585.085 | − | 1013.40i | −0.689959 | − | 1.19504i | ||||
\(849\) | 112.550 | + | 64.9808i | 0.132568 | + | 0.0765380i | ||||
\(850\) | −206.818 | − | 206.818i | −0.243315 | − | 0.243315i | ||||
\(851\) | 412.886 | − | 110.633i | 0.485178 | − | 0.130003i | ||||
\(852\) | 6.08588 | + | 22.7128i | 0.00714305 | + | 0.0266582i | ||||
\(853\) | −702.043 | + | 702.043i | −0.823028 | + | 0.823028i | −0.986541 | − | 0.163513i | \(-0.947717\pi\) |
0.163513 | + | 0.986541i | \(0.447717\pi\) | |||||||
\(854\) | 832.640 | − | 1442.17i | 0.974988 | − | 1.68873i | ||||
\(855\) | −28.6199 | + | 16.5237i | −0.0334736 | + | 0.0193260i | ||||
\(856\) | 647.757 | + | 173.566i | 0.756725 | + | 0.202764i | ||||
\(857\) | 959.663i | 1.11979i | 0.828563 | + | 0.559897i | \(0.189159\pi\) | ||||
−0.828563 | + | 0.559897i | \(0.810841\pi\) | |||||||
\(858\) | −220.067 | − | 381.167i | −0.256488 | − | 0.444250i | ||||
\(859\) | −1526.98 | −1.77763 | −0.888813 | − | 0.458270i | \(-0.848469\pi\) | ||||
−0.888813 | + | 0.458270i | \(0.848469\pi\) | |||||||
\(860\) | 22.2501 | − | 83.0385i | 0.0258722 | − | 0.0965564i | ||||
\(861\) | −235.009 | − | 407.047i | −0.272949 | − | 0.472761i | ||||
\(862\) | 1217.20 | + | 702.750i | 1.41206 | + | 0.815255i | ||||
\(863\) | −149.604 | − | 149.604i | −0.173353 | − | 0.173353i | 0.615098 | − | 0.788451i | \(-0.289117\pi\) |
−0.788451 | + | 0.615098i | \(0.789117\pi\) | |||||||
\(864\) | 118.995 | − | 31.8846i | 0.137726 | − | 0.0369034i | ||||
\(865\) | 451.850 | + | 1686.33i | 0.522370 | + | 1.94951i | ||||
\(866\) | −908.724 | + | 908.724i | −1.04933 | + | 1.04933i | ||||
\(867\) | −212.995 | + | 368.918i | −0.245669 | + | 0.425511i | ||||
\(868\) | −5.54483 | + | 3.20131i | −0.00638805 | + | 0.00368814i | ||||
\(869\) | −512.708 | − | 137.380i | −0.589997 | − | 0.158089i | ||||
\(870\) | − | 371.258i | − | 0.426733i | ||||||
\(871\) | −969.058 | + | 259.658i | −1.11258 | + | 0.298115i | ||||
\(872\) | 0.224319 | 0.000257246 | ||||||||
\(873\) | 30.7879 | − | 114.902i | 0.0352668 | − | 0.131617i | ||||
\(874\) | −33.0000 | − | 57.1577i | −0.0377574 | − | 0.0653978i | ||||
\(875\) | −556.450 | − | 321.267i | −0.635943 | − | 0.367162i | ||||
\(876\) | −35.3397 | − | 35.3397i | −0.0403422 | − | 0.0403422i | ||||
\(877\) | 1180.45 | − | 316.301i | 1.34601 | − | 0.360662i | 0.487349 | − | 0.873207i | \(-0.337964\pi\) |
0.858660 | + | 0.512545i | \(0.171297\pi\) | |||||||
\(878\) | 135.067 | + | 504.076i | 0.153834 | + | 0.574118i | ||||
\(879\) | 16.7372 | − | 16.7372i | 0.0190412 | − | 0.0190412i | ||||
\(880\) | −294.214 | + | 509.594i | −0.334334 | + | 0.579084i | ||||
\(881\) | 321.323 | − | 185.516i | 0.364725 | − | 0.210574i | −0.306426 | − | 0.951894i | \(-0.599133\pi\) |
0.671152 | + | 0.741320i | \(0.265800\pi\) | |||||||
\(882\) | −79.6314 | − | 21.3372i | −0.0902850 | − | 0.0241918i | ||||
\(883\) | − | 1407.20i | − | 1.59365i | −0.604208 | − | 0.796827i | \(-0.706510\pi\) | ||
0.604208 | − | 0.796827i | \(-0.293490\pi\) | |||||||
\(884\) | 20.0917 | − | 34.7999i | 0.0227282 | − | 0.0393664i | ||||
\(885\) | −714.438 | −0.807275 | ||||||||
\(886\) | −154.862 | + | 577.951i | −0.174787 | + | 0.652315i | ||||
\(887\) | 258.623 | + | 447.948i | 0.291571 | + | 0.505015i | 0.974181 | − | 0.225767i | \(-0.0724888\pi\) |
−0.682611 | + | 0.730782i | \(0.739155\pi\) | |||||||
\(888\) | −850.556 | − | 491.069i | −0.957833 | − | 0.553005i | ||||
\(889\) | 455.520 | + | 455.520i | 0.512396 | + | 0.512396i | ||||
\(890\) | −379.676 | + | 101.734i | −0.426602 | + | 0.114308i | ||||
\(891\) | 107.614 | + | 401.622i | 0.120779 | + | 0.450754i | ||||
\(892\) | 61.8822 | − | 61.8822i | 0.0693746 | − | 0.0693746i | ||||
\(893\) | 0.789764 | − | 1.36791i | 0.000884395 | − | 0.00153182i | ||||
\(894\) | 1244.96 | − | 718.776i | 1.39257 | − | 0.804000i | ||||
\(895\) | 1783.01 | + | 477.755i | 1.99219 | + | 0.533805i | ||||
\(896\) | 995.920i | 1.11152i | ||||||||
\(897\) | − | 348.200i | − | 0.388183i | ||||||
\(898\) | −853.888 | −0.950878 | ||||||||
\(899\) | −8.04036 | + | 30.0070i | −0.00894367 | + | 0.0333782i | ||||
\(900\) | 2.70062 | + | 4.67761i | 0.00300069 | + | 0.00519734i | ||||
\(901\) | 786.896 | + | 454.315i | 0.873359 | + | 0.504234i | ||||
\(902\) | 172.038 | + | 172.038i | 0.190730 | + | 0.190730i | ||||
\(903\) | 1201.58 | − | 321.962i | 1.33065 | − | 0.356547i | ||||
\(904\) | 196.367 | + | 732.851i | 0.217220 | + | 0.810675i | ||||
\(905\) | −1305.79 | + | 1305.79i | −1.44287 | + | 1.44287i | ||||
\(906\) | −246.296 | + | 426.597i | −0.271850 | + | 0.470858i | ||||
\(907\) | 1299.20 | − | 750.093i | 1.43241 | − | 0.827005i | 0.435110 | − | 0.900377i | \(-0.356710\pi\) |
0.997305 | + | 0.0733725i | \(0.0233762\pi\) | |||||||
\(908\) | −62.8930 | − | 16.8521i | −0.0692654 | − | 0.0185596i | ||||
\(909\) | − | 52.2126i | − | 0.0574396i | ||||||
\(910\) | 351.683 | − | 1312.50i | 0.386465 | − | 1.44231i | ||||
\(911\) | 663.346 | 0.728151 | 0.364076 | − | 0.931369i | \(-0.381385\pi\) | ||||
0.364076 | + | 0.931369i | \(0.381385\pi\) | |||||||
\(912\) | −36.6077 | + | 136.622i | −0.0401400 | + | 0.149805i | ||||
\(913\) | −315.321 | − | 546.151i | −0.345367 | − | 0.598194i | ||||
\(914\) | −301.861 | − | 174.279i | −0.330264 | − | 0.190678i | ||||
\(915\) | −1173.41 | − | 1173.41i | −1.28242 | − | 1.28242i | ||||
\(916\) | −27.7199 | + | 7.42751i | −0.0302618 | + | 0.00810864i | ||||
\(917\) | 111.086 | + | 414.578i | 0.121141 | + | 0.452103i | ||||
\(918\) | 453.597 | − | 453.597i | 0.494115 | − | 0.494115i | ||||
\(919\) | −51.1596 | + | 88.6110i | −0.0556687 | + | 0.0964211i | −0.892517 | − | 0.451014i | \(-0.851062\pi\) |
0.836848 | + | 0.547435i | \(0.184396\pi\) | |||||||
\(920\) | −432.237 | + | 249.552i | −0.469822 | + | 0.271252i | ||||
\(921\) | 851.726 | + | 228.219i | 0.924783 | + | 0.247795i | ||||
\(922\) | − | 402.794i | − | 0.436869i | ||||||
\(923\) | 295.267 | + | 295.267i | 0.319899 | + | 0.319899i | ||||
\(924\) | 41.1487 | 0.0445333 | ||||||||
\(925\) | 148.103 | − | 552.729i | 0.160112 | − | 0.597545i | ||||
\(926\) | −432.769 | − | 749.578i | −0.467353 | − | 0.809480i | ||||
\(927\) | 238.398 | + | 137.639i | 0.257171 | + | 0.148478i | ||||
\(928\) | −34.4763 | − | 34.4763i | −0.0371512 | − | 0.0371512i | ||||
\(929\) | −31.5737 | + | 8.46014i | −0.0339867 | + | 0.00910672i | −0.275772 | − | 0.961223i | \(-0.588934\pi\) |
0.241786 | + | 0.970330i | \(0.422267\pi\) | |||||||
\(930\) | −23.0000 | − | 85.8372i | −0.0247312 | − | 0.0922980i | ||||
\(931\) | −68.4641 | + | 68.4641i | −0.0735382 | + | 0.0735382i | ||||
\(932\) | −40.8076 | + | 70.6809i | −0.0437850 | + | 0.0758378i | ||||
\(933\) | −183.315 | + | 105.837i | −0.196479 | + | 0.113437i | ||||
\(934\) | 666.946 | + | 178.708i | 0.714075 | + | 0.191336i | ||||
\(935\) | − | 456.910i | − | 0.488674i | ||||||
\(936\) | 116.408 | − | 116.408i | 0.124368 | − | 0.124368i | ||||
\(937\) | −196.615 | −0.209835 | −0.104917 | − | 0.994481i | \(-0.533458\pi\) | ||||
−0.104917 | + | 0.994481i | \(0.533458\pi\) | |||||||
\(938\) | −338.119 | + | 1261.88i | −0.360468 | + | 1.34529i | ||||
\(939\) | 226.329 | + | 392.014i | 0.241032 | + | 0.417480i | ||||
\(940\) | −0.649439 | − | 0.374954i | −0.000690892 | − | 0.000398887i | ||||
\(941\) | 269.659 | + | 269.659i | 0.286566 | + | 0.286566i | 0.835721 | − | 0.549155i | \(-0.185050\pi\) |
−0.549155 | + | 0.835721i | \(0.685050\pi\) | |||||||
\(942\) | 243.413 | − | 65.2224i | 0.258401 | − | 0.0692383i | ||||
\(943\) | 49.8174 | + | 185.921i | 0.0528287 | + | 0.197159i | ||||
\(944\) | 444.911 | − | 444.911i | 0.471304 | − | 0.471304i | ||||
\(945\) | −778.697 | + | 1348.74i | −0.824018 | + | 1.42724i | ||||
\(946\) | −557.654 | + | 321.962i | −0.589486 | + | 0.340340i | ||||
\(947\) | −1237.89 | − | 331.692i | −1.30717 | − | 0.350255i | −0.463013 | − | 0.886351i | \(-0.653232\pi\) |
−0.844157 | + | 0.536096i | \(0.819898\pi\) | |||||||
\(948\) | 60.5744i | 0.0638970i | ||||||||
\(949\) | −857.283 | − | 229.708i | −0.903354 | − | 0.242053i | ||||
\(950\) | −88.3538 | −0.0930040 | ||||||||
\(951\) | 97.0544 | − | 362.212i | 0.102055 | − | 0.380875i | ||||
\(952\) | −416.727 | − | 721.792i | −0.437738 | − | 0.758185i | ||||
\(953\) | 1142.09 | + | 659.387i | 1.19842 | + | 0.691907i | 0.960202 | − | 0.279306i | \(-0.0901042\pi\) |
0.238215 | + | 0.971212i | \(0.423438\pi\) | |||||||
\(954\) | 165.256 | + | 165.256i | 0.173224 | + | 0.173224i | ||||
\(955\) | −1407.55 | + | 377.152i | −1.47387 | + | 0.394924i | ||||
\(956\) | 24.5833 | + | 91.7461i | 0.0257148 | + | 0.0959688i | ||||
\(957\) | 141.177 | − | 141.177i | 0.147520 | − | 0.147520i | ||||
\(958\) | −417.217 | + | 722.642i | −0.435509 | + | 0.754323i | ||||
\(959\) | −539.347 | + | 311.392i | −0.562406 | + | 0.324705i | ||||
\(960\) | 1103.01 | + | 295.552i | 1.14897 | + | 0.307867i | ||||
\(961\) | − | 953.564i | − | 0.992262i | ||||||
\(962\) | −1094.98 | −1.13824 | ||||||||
\(963\) | −124.922 | −0.129721 | ||||||||
\(964\) | −3.12127 | + | 11.6487i | −0.00323783 | + | 0.0120838i | ||||
\(965\) | −998.636 | − | 1729.69i | −1.03486 | − | 1.79242i | ||||
\(966\) | −392.669 | − | 226.708i | −0.406490 | − | 0.234687i | ||||
\(967\) | −879.683 | − | 879.683i | −0.909703 | − | 0.909703i | 0.0865445 | − | 0.996248i | \(-0.472418\pi\) |
−0.996248 | + | 0.0865445i | \(0.972418\pi\) | |||||||
\(968\) | 635.943 | − | 170.401i | 0.656966 | − | 0.176034i | ||||
\(969\) | −28.4256 | − | 106.086i | −0.0293350 | − | 0.109480i | ||||
\(970\) | 653.252 | − | 653.252i | 0.673456 | − | 0.673456i | ||||
\(971\) | 23.1366 | − | 40.0737i | 0.0238276 | − | 0.0412705i | −0.853866 | − | 0.520493i | \(-0.825748\pi\) |
0.877693 | + | 0.479223i | \(0.159081\pi\) | |||||||
\(972\) | −19.0225 | + | 10.9826i | −0.0195705 | + | 0.0112990i | ||||
\(973\) | −978.190 | − | 262.105i | −1.00533 | − | 0.269378i | ||||
\(974\) | 573.874i | 0.589193i | ||||||||
\(975\) | −403.683 | − | 233.067i | −0.414034 | − | 0.239043i | ||||
\(976\) | 1461.47 | 1.49741 | ||||||||
\(977\) | −411.992 | + | 1537.57i | −0.421691 | + | 1.57377i | 0.349355 | + | 0.936991i | \(0.386401\pi\) |
−0.771045 | + | 0.636780i | \(0.780266\pi\) | |||||||
\(978\) | 166.014 | + | 287.545i | 0.169749 | + | 0.294013i | ||||
\(979\) | −183.064 | − | 105.692i | −0.186991 | − | 0.107959i | ||||
\(980\) | 32.5045 | + | 32.5045i | 0.0331678 | + | 0.0331678i | ||||
\(981\) | −0.0403626 | + | 0.0108151i | −4.11443e−5 | + | 1.10246e-5i | ||||
\(982\) | 395.669 | + | 1476.66i | 0.402922 | + | 1.50372i | ||||
\(983\) | 632.213 | − | 632.213i | 0.643146 | − | 0.643146i | −0.308181 | − | 0.951328i | \(-0.599720\pi\) |
0.951328 | + | 0.308181i | \(0.0997204\pi\) | |||||||
\(984\) | 221.126 | − | 383.002i | 0.224722 | − | 0.389230i | ||||
\(985\) | 1283.25 | − | 740.886i | 1.30279 | − | 0.752169i | ||||
\(986\) | −245.234 | − | 65.7102i | −0.248716 | − | 0.0666432i | ||||
\(987\) | − | 10.8513i | − | 0.0109942i | ||||||
\(988\) | −3.14171 | − | 11.7250i | −0.00317987 | − | 0.0118674i | ||||
\(989\) | −509.423 | −0.515089 | ||||||||
\(990\) | 30.4167 | − | 113.517i | 0.0307239 | − | 0.114663i | ||||
\(991\) | −600.733 | − | 1040.50i | −0.606188 | − | 1.04995i | −0.991862 | − | 0.127314i | \(-0.959364\pi\) |
0.385674 | − | 0.922635i | \(-0.373969\pi\) | |||||||
\(992\) | −10.1070 | − | 5.83528i | −0.0101885 | − | 0.00588234i | ||||
\(993\) | 585.205 | + | 585.205i | 0.589330 | + | 0.589330i | ||||
\(994\) | 525.219 | − | 140.732i | 0.528390 | − | 0.141582i | ||||
\(995\) | −82.2046 | − | 306.792i | −0.0826177 | − | 0.308333i | ||||
\(996\) | −50.8897 | + | 50.8897i | −0.0510941 | + | 0.0510941i | ||||
\(997\) | 242.817 | − | 420.572i | 0.243548 | − | 0.421837i | −0.718174 | − | 0.695863i | \(-0.755022\pi\) |
0.961722 | + | 0.274026i | \(0.0883554\pi\) | |||||||
\(998\) | 727.795 | − | 420.193i | 0.729254 | − | 0.421035i | ||||
\(999\) | 1212.26 | + | 324.823i | 1.21347 | + | 0.325148i |
(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 | 13.3.f.a.11.1 | yes | 4 | |
3.2 | odd | 2 | 117.3.bd.b.37.1 | 4 | |||
4.3 | odd | 2 | 208.3.bd.d.193.1 | 4 | |||
5.2 | odd | 4 | 325.3.w.a.24.1 | 4 | |||
5.3 | odd | 4 | 325.3.w.b.24.1 | 4 | |||
5.4 | even | 2 | 325.3.t.a.76.1 | 4 | |||
13.2 | odd | 12 | 169.3.d.a.70.1 | 4 | |||
13.3 | even | 3 | 169.3.d.a.99.1 | 4 | |||
13.4 | even | 6 | 169.3.f.a.150.1 | 4 | |||
13.5 | odd | 4 | 169.3.f.c.80.1 | 4 | |||
13.6 | odd | 12 | inner | 13.3.f.a.6.1 | ✓ | 4 | |
13.7 | odd | 12 | 169.3.f.b.19.1 | 4 | |||
13.8 | odd | 4 | 169.3.f.a.80.1 | 4 | |||
13.9 | even | 3 | 169.3.f.c.150.1 | 4 | |||
13.10 | even | 6 | 169.3.d.c.99.2 | 4 | |||
13.11 | odd | 12 | 169.3.d.c.70.2 | 4 | |||
13.12 | even | 2 | 169.3.f.b.89.1 | 4 | |||
39.32 | even | 12 | 117.3.bd.b.19.1 | 4 | |||
52.19 | even | 12 | 208.3.bd.d.97.1 | 4 | |||
65.19 | odd | 12 | 325.3.t.a.201.1 | 4 | |||
65.32 | even | 12 | 325.3.w.b.149.1 | 4 | |||
65.58 | even | 12 | 325.3.w.a.149.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
13.3.f.a.6.1 | ✓ | 4 | 13.6 | odd | 12 | inner | |
13.3.f.a.11.1 | yes | 4 | 1.1 | even | 1 | trivial | |
117.3.bd.b.19.1 | 4 | 39.32 | even | 12 | |||
117.3.bd.b.37.1 | 4 | 3.2 | odd | 2 | |||
169.3.d.a.70.1 | 4 | 13.2 | odd | 12 | |||
169.3.d.a.99.1 | 4 | 13.3 | even | 3 | |||
169.3.d.c.70.2 | 4 | 13.11 | odd | 12 | |||
169.3.d.c.99.2 | 4 | 13.10 | even | 6 | |||
169.3.f.a.80.1 | 4 | 13.8 | odd | 4 | |||
169.3.f.a.150.1 | 4 | 13.4 | even | 6 | |||
169.3.f.b.19.1 | 4 | 13.7 | odd | 12 | |||
169.3.f.b.89.1 | 4 | 13.12 | even | 2 | |||
169.3.f.c.80.1 | 4 | 13.5 | odd | 4 | |||
169.3.f.c.150.1 | 4 | 13.9 | even | 3 | |||
208.3.bd.d.97.1 | 4 | 52.19 | even | 12 | |||
208.3.bd.d.193.1 | 4 | 4.3 | odd | 2 | |||
325.3.t.a.76.1 | 4 | 5.4 | even | 2 | |||
325.3.t.a.201.1 | 4 | 65.19 | odd | 12 | |||
325.3.w.a.24.1 | 4 | 5.2 | odd | 4 | |||
325.3.w.a.149.1 | 4 | 65.58 | even | 12 | |||
325.3.w.b.24.1 | 4 | 5.3 | odd | 4 | |||
325.3.w.b.149.1 | 4 | 65.32 | even | 12 |