Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,3,Mod(5,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.h (of order \(10\), 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: | \(0.899184872389\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 12x^{14} + 180x^{12} - 2562x^{10} + 25179x^{8} - 96398x^{6} + 239275x^{4} - 536393x^{2} + 1771561 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 14.4 | ||
Root | \(2.10855 + 2.90217i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.14 |
Dual form | 33.3.h.b.26.4 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.10855 | + | 2.90217i | 1.05427 | + | 1.45108i | 0.885045 | + | 0.465506i | \(0.154128\pi\) |
0.169229 | + | 0.985577i | \(0.445872\pi\) | |||||||
\(3\) | −2.00253 | − | 2.23380i | −0.667511 | − | 0.744600i | ||||
\(4\) | −2.74053 | + | 8.43448i | −0.685132 | + | 2.10862i | ||||
\(5\) | 1.22635 | − | 1.68793i | 0.245270 | − | 0.337586i | −0.668578 | − | 0.743642i | \(-0.733097\pi\) |
0.913848 | + | 0.406057i | \(0.133097\pi\) | |||||||
\(6\) | 2.26043 | − | 10.5218i | 0.376738 | − | 1.75363i | ||||
\(7\) | 2.73883 | − | 8.42924i | 0.391261 | − | 1.20418i | −0.540575 | − | 0.841296i | \(-0.681793\pi\) |
0.931836 | − | 0.362881i | \(-0.118207\pi\) | |||||||
\(8\) | −16.6100 | + | 5.39692i | −2.07625 | + | 0.674615i | ||||
\(9\) | −0.979734 | + | 8.94651i | −0.108859 | + | 0.994057i | ||||
\(10\) | 7.48447 | 0.748447 | ||||||||
\(11\) | −10.8108 | + | 2.03154i | −0.982798 | + | 0.184685i | ||||
\(12\) | 24.3290 | − | 10.7685i | 2.02741 | − | 0.897377i | ||||
\(13\) | 1.33068 | − | 0.966792i | 0.102360 | − | 0.0743686i | −0.535428 | − | 0.844581i | \(-0.679850\pi\) |
0.637788 | + | 0.770212i | \(0.279850\pi\) | |||||||
\(14\) | 30.2380 | − | 9.82492i | 2.15986 | − | 0.701780i | ||||
\(15\) | −6.22630 | + | 0.640704i | −0.415087 | + | 0.0427136i | ||||
\(16\) | −21.9865 | − | 15.9742i | −1.37416 | − | 0.998385i | ||||
\(17\) | −7.30235 | + | 10.0508i | −0.429550 | + | 0.591225i | −0.967850 | − | 0.251529i | \(-0.919067\pi\) |
0.538300 | + | 0.842753i | \(0.319067\pi\) | |||||||
\(18\) | −28.0301 | + | 16.0208i | −1.55723 | + | 0.890044i | ||||
\(19\) | 3.26497 | + | 10.0485i | 0.171841 | + | 0.528871i | 0.999475 | − | 0.0323966i | \(-0.0103140\pi\) |
−0.827635 | + | 0.561267i | \(0.810314\pi\) | |||||||
\(20\) | 10.8759 | + | 14.9695i | 0.543797 | + | 0.748473i | ||||
\(21\) | −24.3138 | + | 10.7618i | −1.15780 | + | 0.512468i | ||||
\(22\) | −28.6909 | − | 27.0911i | −1.30413 | − | 1.23141i | ||||
\(23\) | − | 20.3378i | − | 0.884251i | −0.896953 | − | 0.442126i | \(-0.854225\pi\) | ||
0.896953 | − | 0.442126i | \(-0.145775\pi\) | |||||||
\(24\) | 45.3177 | + | 26.2959i | 1.88824 | + | 1.09566i | ||||
\(25\) | 6.38026 | + | 19.6364i | 0.255210 | + | 0.785457i | ||||
\(26\) | 5.61158 | + | 1.82331i | 0.215830 | + | 0.0701275i | ||||
\(27\) | 21.9467 | − | 15.7271i | 0.812840 | − | 0.582487i | ||||
\(28\) | 63.5904 | + | 46.2012i | 2.27109 | + | 1.65004i | ||||
\(29\) | −11.0405 | − | 3.58727i | −0.380707 | − | 0.123699i | 0.112411 | − | 0.993662i | \(-0.464143\pi\) |
−0.493118 | + | 0.869963i | \(0.664143\pi\) | |||||||
\(30\) | −14.9879 | − | 16.7188i | −0.499596 | − | 0.557294i | ||||
\(31\) | 18.9215 | − | 13.7473i | 0.610371 | − | 0.443460i | −0.239174 | − | 0.970977i | \(-0.576877\pi\) |
0.849545 | + | 0.527516i | \(0.176877\pi\) | |||||||
\(32\) | − | 27.6317i | − | 0.863489i | ||||||
\(33\) | 26.1870 | + | 20.0809i | 0.793544 | + | 0.608512i | ||||
\(34\) | −44.5665 | −1.31078 | ||||||||
\(35\) | −10.8692 | − | 14.9601i | −0.310548 | − | 0.427433i | ||||
\(36\) | −72.7742 | − | 32.7817i | −2.02151 | − | 0.910604i | ||||
\(37\) | 2.23911 | − | 6.89128i | 0.0605166 | − | 0.186251i | −0.916228 | − | 0.400657i | \(-0.868782\pi\) |
0.976745 | + | 0.214407i | \(0.0687817\pi\) | |||||||
\(38\) | −22.2782 | + | 30.6633i | −0.586269 | + | 0.806929i | ||||
\(39\) | −4.82434 | − | 1.03643i | −0.123701 | − | 0.0265752i | ||||
\(40\) | −11.2601 | + | 34.6550i | −0.281502 | + | 0.866375i | ||||
\(41\) | 36.9741 | − | 12.0136i | 0.901806 | − | 0.293015i | 0.178824 | − | 0.983881i | \(-0.442771\pi\) |
0.722982 | + | 0.690866i | \(0.242771\pi\) | |||||||
\(42\) | −82.4995 | − | 47.8710i | −1.96427 | − | 1.13978i | ||||
\(43\) | −15.8444 | −0.368474 | −0.184237 | − | 0.982882i | \(-0.558981\pi\) | ||||
−0.184237 | + | 0.982882i | \(0.558981\pi\) | |||||||
\(44\) | 12.4923 | − | 96.7508i | 0.283916 | − | 2.19888i | ||||
\(45\) | 13.8996 | + | 12.6253i | 0.308879 | + | 0.280562i | ||||
\(46\) | 59.0236 | − | 42.8832i | 1.28312 | − | 0.932243i | ||||
\(47\) | 43.0910 | − | 14.0011i | 0.916831 | − | 0.297896i | 0.187665 | − | 0.982233i | \(-0.439908\pi\) |
0.729166 | + | 0.684337i | \(0.239908\pi\) | |||||||
\(48\) | 8.34565 | + | 81.1023i | 0.173868 | + | 1.68963i | ||||
\(49\) | −23.9091 | − | 17.3709i | −0.487940 | − | 0.354509i | ||||
\(50\) | −43.5351 | + | 59.9209i | −0.870702 | + | 1.19842i | ||||
\(51\) | 37.0747 | − | 3.81509i | 0.726955 | − | 0.0748057i | ||||
\(52\) | 4.50764 | + | 13.8731i | 0.0866853 | + | 0.266790i | ||||
\(53\) | 23.6972 | + | 32.6164i | 0.447116 | + | 0.615403i | 0.971775 | − | 0.235910i | \(-0.0758070\pi\) |
−0.524658 | + | 0.851313i | \(0.675807\pi\) | |||||||
\(54\) | 91.9184 | + | 30.5315i | 1.70219 | + | 0.565398i | ||||
\(55\) | −9.82872 | + | 20.7392i | −0.178704 | + | 0.377076i | ||||
\(56\) | 154.791i | 2.76412i | ||||||||
\(57\) | 15.9082 | − | 27.4158i | 0.279092 | − | 0.480979i | ||||
\(58\) | −12.8685 | − | 39.6053i | −0.221871 | − | 0.682850i | ||||
\(59\) | −107.642 | − | 34.9750i | −1.82444 | − | 0.592797i | −0.999625 | − | 0.0273946i | \(-0.991279\pi\) |
−0.824816 | − | 0.565402i | \(-0.808721\pi\) | |||||||
\(60\) | 11.6594 | − | 54.2715i | 0.194323 | − | 0.904525i | ||||
\(61\) | −62.7118 | − | 45.5628i | −1.02806 | − | 0.746931i | −0.0601426 | − | 0.998190i | \(-0.519156\pi\) |
−0.967920 | + | 0.251259i | \(0.919156\pi\) | |||||||
\(62\) | 79.7937 | + | 25.9266i | 1.28700 | + | 0.418170i | ||||
\(63\) | 72.7290 | + | 32.7614i | 1.15443 | + | 0.520022i | ||||
\(64\) | −7.75446 | + | 5.63395i | −0.121163 | + | 0.0880304i | ||||
\(65\) | − | 3.43171i | − | 0.0527956i | ||||||
\(66\) | −3.06166 | + | 118.340i | −0.0463888 | + | 1.79304i | ||||
\(67\) | 62.9082 | 0.938929 | 0.469464 | − | 0.882951i | \(-0.344447\pi\) | ||||
0.469464 | + | 0.882951i | \(0.344447\pi\) | |||||||
\(68\) | −64.7612 | − | 89.1361i | −0.952370 | − | 1.31082i | ||||
\(69\) | −45.4306 | + | 40.7270i | −0.658414 | + | 0.590247i | ||||
\(70\) | 20.4987 | − | 63.0884i | 0.292838 | − | 0.901262i | ||||
\(71\) | 6.00278 | − | 8.26212i | 0.0845462 | − | 0.116368i | −0.764649 | − | 0.644447i | \(-0.777088\pi\) |
0.849195 | + | 0.528079i | \(0.177088\pi\) | |||||||
\(72\) | −32.0102 | − | 153.889i | −0.444586 | − | 2.13735i | ||||
\(73\) | −23.0595 | + | 70.9699i | −0.315884 | + | 0.972191i | 0.659505 | + | 0.751700i | \(0.270766\pi\) |
−0.975389 | + | 0.220491i | \(0.929234\pi\) | |||||||
\(74\) | 24.7209 | − | 8.03232i | 0.334067 | − | 0.108545i | ||||
\(75\) | 31.0872 | − | 53.5748i | 0.414496 | − | 0.714331i | ||||
\(76\) | −93.7020 | −1.23292 | ||||||||
\(77\) | −12.4845 | + | 96.6906i | −0.162137 | + | 1.25572i | ||||
\(78\) | −7.16445 | − | 16.1864i | −0.0918519 | − | 0.207518i | ||||
\(79\) | −69.8281 | + | 50.7331i | −0.883900 | + | 0.642191i | −0.934280 | − | 0.356539i | \(-0.883957\pi\) |
0.0503802 | + | 0.998730i | \(0.483957\pi\) | |||||||
\(80\) | −53.9264 | + | 17.5218i | −0.674081 | + | 0.219022i | ||||
\(81\) | −79.0802 | − | 17.5304i | −0.976299 | − | 0.216425i | ||||
\(82\) | 112.827 | + | 81.9736i | 1.37594 | + | 0.999678i | ||||
\(83\) | −6.94074 | + | 9.55311i | −0.0836234 | + | 0.115098i | −0.848779 | − | 0.528747i | \(-0.822662\pi\) |
0.765156 | + | 0.643845i | \(0.222662\pi\) | |||||||
\(84\) | −24.1377 | − | 234.568i | −0.287353 | − | 2.79247i | ||||
\(85\) | 8.00981 | + | 24.6517i | 0.0942331 | + | 0.290020i | ||||
\(86\) | −33.4086 | − | 45.9830i | −0.388472 | − | 0.534686i | ||||
\(87\) | 14.0957 | + | 31.8459i | 0.162019 | + | 0.366045i | ||||
\(88\) | 168.603 | − | 92.0887i | 1.91594 | − | 1.04646i | ||||
\(89\) | − | 74.5782i | − | 0.837957i | −0.907996 | − | 0.418979i | \(-0.862388\pi\) | ||
0.907996 | − | 0.418979i | \(-0.137612\pi\) | |||||||
\(90\) | −7.33279 | + | 66.9599i | −0.0814755 | + | 0.743999i | ||||
\(91\) | −4.50483 | − | 13.8645i | −0.0495037 | − | 0.152357i | ||||
\(92\) | 171.539 | + | 55.7363i | 1.86455 | + | 0.605829i | ||||
\(93\) | −68.5996 | − | 14.7375i | −0.737630 | − | 0.158468i | ||||
\(94\) | 131.493 | + | 95.5353i | 1.39886 | + | 1.01633i | ||||
\(95\) | 20.9652 | + | 6.81201i | 0.220687 | + | 0.0717054i | ||||
\(96\) | −61.7236 | + | 55.3333i | −0.642955 | + | 0.576388i | ||||
\(97\) | 62.4301 | − | 45.3581i | 0.643609 | − | 0.467609i | −0.217479 | − | 0.976065i | \(-0.569783\pi\) |
0.861088 | + | 0.508456i | \(0.169783\pi\) | |||||||
\(98\) | − | 106.016i | − | 1.08179i | ||||||
\(99\) | −7.58349 | − | 98.7091i | −0.0766009 | − | 0.997062i | ||||
\(100\) | −183.108 | −1.83108 | ||||||||
\(101\) | 7.52095 | + | 10.3517i | 0.0744649 | + | 0.102492i | 0.844625 | − | 0.535359i | \(-0.179824\pi\) |
−0.770160 | + | 0.637851i | \(0.779824\pi\) | |||||||
\(102\) | 89.2458 | + | 99.5527i | 0.874959 | + | 0.976007i | ||||
\(103\) | 21.8055 | − | 67.1104i | 0.211704 | − | 0.651558i | −0.787667 | − | 0.616101i | \(-0.788711\pi\) |
0.999371 | − | 0.0354567i | \(-0.0112886\pi\) | |||||||
\(104\) | −16.8848 | + | 23.2400i | −0.162354 | + | 0.223461i | ||||
\(105\) | −11.6521 | + | 54.2378i | −0.110972 | + | 0.516550i | ||||
\(106\) | −44.6915 | + | 137.546i | −0.421618 | + | 1.29761i | ||||
\(107\) | −175.204 | + | 56.9272i | −1.63742 | + | 0.532029i | −0.975959 | − | 0.217952i | \(-0.930062\pi\) |
−0.661459 | + | 0.749981i | \(0.730062\pi\) | |||||||
\(108\) | 72.5048 | + | 228.210i | 0.671341 | + | 2.11305i | ||||
\(109\) | −58.5394 | −0.537058 | −0.268529 | − | 0.963272i | \(-0.586538\pi\) | ||||
−0.268529 | + | 0.963272i | \(0.586538\pi\) | |||||||
\(110\) | −80.9129 | + | 15.2050i | −0.735572 | + | 0.138227i | ||||
\(111\) | −19.8777 | + | 8.79828i | −0.179078 | + | 0.0792638i | ||||
\(112\) | −194.867 | + | 141.579i | −1.73989 | + | 1.26410i | ||||
\(113\) | 144.558 | − | 46.9698i | 1.27927 | − | 0.415662i | 0.410950 | − | 0.911658i | \(-0.365197\pi\) |
0.868325 | + | 0.495996i | \(0.165197\pi\) | |||||||
\(114\) | 113.109 | − | 11.6392i | 0.992180 | − | 0.102098i | ||||
\(115\) | −34.3287 | − | 24.9413i | −0.298510 | − | 0.216881i | ||||
\(116\) | 60.5136 | − | 83.2899i | 0.521669 | − | 0.718016i | ||||
\(117\) | 7.34571 | + | 12.8521i | 0.0627839 | + | 0.109847i | ||||
\(118\) | −125.465 | − | 386.141i | −1.06326 | − | 3.27238i | ||||
\(119\) | 64.7209 | + | 89.0807i | 0.543873 | + | 0.748577i | ||||
\(120\) | 99.9611 | − | 44.2449i | 0.833009 | − | 0.368708i | ||||
\(121\) | 112.746 | − | 43.9250i | 0.931783 | − | 0.363016i | ||||
\(122\) | − | 278.071i | − | 2.27927i | ||||||
\(123\) | −100.878 | − | 58.5351i | −0.820144 | − | 0.475895i | ||||
\(124\) | 64.0962 | + | 197.268i | 0.516905 | + | 1.59087i | ||||
\(125\) | 90.5763 | + | 29.4300i | 0.724610 | + | 0.235440i | ||||
\(126\) | 58.2736 | + | 280.150i | 0.462489 | + | 2.22342i | ||||
\(127\) | 11.5481 | + | 8.39020i | 0.0909301 | + | 0.0660646i | 0.632321 | − | 0.774706i | \(-0.282102\pi\) |
−0.541391 | + | 0.840771i | \(0.682102\pi\) | |||||||
\(128\) | −137.818 | − | 44.7799i | −1.07671 | − | 0.349843i | ||||
\(129\) | 31.7289 | + | 35.3932i | 0.245960 | + | 0.274366i | ||||
\(130\) | 9.95940 | − | 7.23592i | 0.0766107 | − | 0.0556610i | ||||
\(131\) | 153.686i | 1.17318i | 0.809885 | + | 0.586589i | \(0.199529\pi\) | ||||
−0.809885 | + | 0.586589i | \(0.800471\pi\) | |||||||
\(132\) | −241.138 | + | 165.841i | −1.82680 | + | 1.25637i | ||||
\(133\) | 93.6438 | 0.704088 | ||||||||
\(134\) | 132.645 | + | 182.570i | 0.989888 | + | 1.36246i | ||||
\(135\) | 0.368057 | − | 56.3314i | 0.00272635 | − | 0.417270i | ||||
\(136\) | 67.0486 | − | 206.354i | 0.493004 | − | 1.51731i | ||||
\(137\) | 47.3996 | − | 65.2400i | 0.345983 | − | 0.476205i | −0.600194 | − | 0.799854i | \(-0.704910\pi\) |
0.946177 | + | 0.323650i | \(0.104910\pi\) | |||||||
\(138\) | −213.989 | − | 45.9721i | −1.55065 | − | 0.333131i | ||||
\(139\) | 65.4935 | − | 201.568i | 0.471176 | − | 1.45013i | −0.379870 | − | 0.925040i | \(-0.624031\pi\) |
0.851046 | − | 0.525091i | \(-0.175969\pi\) | |||||||
\(140\) | 155.968 | − | 50.6772i | 1.11406 | − | 0.361980i | ||||
\(141\) | −117.567 | − | 68.2191i | −0.833808 | − | 0.483824i | ||||
\(142\) | 36.6352 | 0.257994 | ||||||||
\(143\) | −12.4216 | + | 13.1551i | −0.0868640 | + | 0.0919936i | ||||
\(144\) | 164.454 | − | 181.052i | 1.14204 | − | 1.25731i | ||||
\(145\) | −19.5946 | + | 14.2363i | −0.135135 | + | 0.0981814i | ||||
\(146\) | −254.589 | + | 82.7209i | −1.74376 | + | 0.566581i | ||||
\(147\) | 9.07540 | + | 88.1940i | 0.0617374 | + | 0.599959i | ||||
\(148\) | 51.9881 | + | 37.7715i | 0.351271 | + | 0.255213i | ||||
\(149\) | 133.033 | − | 183.104i | 0.892840 | − | 1.22889i | −0.0798559 | − | 0.996806i | \(-0.525446\pi\) |
0.972696 | − | 0.232083i | \(-0.0745540\pi\) | |||||||
\(150\) | 221.032 | − | 22.7448i | 1.47355 | − | 0.151632i | ||||
\(151\) | 84.2779 | + | 259.381i | 0.558132 | + | 1.71775i | 0.687527 | + | 0.726159i | \(0.258696\pi\) |
−0.129395 | + | 0.991593i | \(0.541304\pi\) | |||||||
\(152\) | −108.462 | − | 149.286i | −0.713568 | − | 0.982142i | ||||
\(153\) | −82.7654 | − | 75.1777i | −0.540951 | − | 0.491357i | ||||
\(154\) | −306.936 | + | 167.645i | −1.99309 | + | 1.08860i | ||||
\(155\) | − | 48.7971i | − | 0.314820i | ||||||
\(156\) | 21.9630 | − | 37.8504i | 0.140789 | − | 0.242631i | ||||
\(157\) | 1.87243 | + | 5.76274i | 0.0119263 | + | 0.0367054i | 0.956843 | − | 0.290607i | \(-0.0938571\pi\) |
−0.944916 | + | 0.327312i | \(0.893857\pi\) | |||||||
\(158\) | −294.472 | − | 95.6797i | −1.86375 | − | 0.605568i | ||||
\(159\) | 25.4041 | − | 118.250i | 0.159774 | − | 0.743711i | ||||
\(160\) | −46.6403 | − | 33.8861i | −0.291502 | − | 0.211788i | ||||
\(161\) | −171.432 | − | 55.7016i | −1.06479 | − | 0.345973i | ||||
\(162\) | −115.868 | − | 266.468i | −0.715236 | − | 1.64486i | ||||
\(163\) | −131.002 | + | 95.1782i | −0.803691 | + | 0.583915i | −0.911994 | − | 0.410202i | \(-0.865458\pi\) |
0.108304 | + | 0.994118i | \(0.465458\pi\) | |||||||
\(164\) | 344.781i | 2.10232i | ||||||||
\(165\) | 66.0095 | − | 19.5755i | 0.400058 | − | 0.118639i | ||||
\(166\) | −42.3596 | −0.255178 | ||||||||
\(167\) | 93.5806 | + | 128.803i | 0.560363 | + | 0.771274i | 0.991373 | − | 0.131074i | \(-0.0418425\pi\) |
−0.431010 | + | 0.902347i | \(0.641842\pi\) | |||||||
\(168\) | 345.772 | − | 309.974i | 2.05817 | − | 1.84508i | ||||
\(169\) | −51.3879 | + | 158.156i | −0.304070 | + | 0.935832i | ||||
\(170\) | −54.6542 | + | 75.2250i | −0.321495 | + | 0.442500i | ||||
\(171\) | −93.0983 | + | 19.3652i | −0.544434 | + | 0.113247i | ||||
\(172\) | 43.4220 | − | 133.639i | 0.252453 | − | 0.776972i | ||||
\(173\) | −36.5394 | + | 11.8724i | −0.211210 | + | 0.0686264i | −0.412711 | − | 0.910862i | \(-0.635418\pi\) |
0.201501 | + | 0.979488i | \(0.435418\pi\) | |||||||
\(174\) | −62.7007 | + | 108.057i | −0.360349 | + | 0.621015i | ||||
\(175\) | 182.995 | 1.04568 | ||||||||
\(176\) | 270.144 | + | 128.027i | 1.53491 | + | 0.727423i | ||||
\(177\) | 137.429 | + | 310.489i | 0.776437 | + | 1.75418i | ||||
\(178\) | 216.438 | − | 157.252i | 1.21595 | − | 0.883436i | ||||
\(179\) | −129.490 | + | 42.0738i | −0.723407 | + | 0.235049i | −0.647500 | − | 0.762066i | \(-0.724185\pi\) |
−0.0759072 | + | 0.997115i | \(0.524185\pi\) | |||||||
\(180\) | −144.580 | + | 82.6357i | −0.803222 | + | 0.459087i | ||||
\(181\) | 105.447 | + | 76.6119i | 0.582581 | + | 0.423270i | 0.839654 | − | 0.543122i | \(-0.182758\pi\) |
−0.257072 | + | 0.966392i | \(0.582758\pi\) | |||||||
\(182\) | 30.7383 | − | 42.3076i | 0.168892 | − | 0.232460i | ||||
\(183\) | 23.8042 | + | 231.327i | 0.130077 | + | 1.26408i | ||||
\(184\) | 109.761 | + | 337.811i | 0.596529 | + | 1.83593i | ||||
\(185\) | −8.88605 | − | 12.2306i | −0.0480327 | − | 0.0661114i | ||||
\(186\) | −101.875 | − | 230.162i | −0.547713 | − | 1.23743i | ||||
\(187\) | 58.5254 | − | 123.492i | 0.312970 | − | 0.660386i | ||||
\(188\) | 401.821i | 2.13735i | ||||||||
\(189\) | −72.4597 | − | 228.068i | −0.383385 | − | 1.20671i | ||||
\(190\) | 24.4366 | + | 75.2080i | 0.128613 | + | 0.395832i | ||||
\(191\) | 300.134 | + | 97.5195i | 1.57138 | + | 0.510574i | 0.959819 | − | 0.280621i | \(-0.0905403\pi\) |
0.611565 | + | 0.791194i | \(0.290540\pi\) | |||||||
\(192\) | 28.1137 | + | 6.03977i | 0.146425 | + | 0.0314571i | ||||
\(193\) | −118.448 | − | 86.0576i | −0.613721 | − | 0.445894i | 0.237002 | − | 0.971509i | \(-0.423835\pi\) |
−0.850723 | + | 0.525615i | \(0.823835\pi\) | |||||||
\(194\) | 263.273 | + | 85.5427i | 1.35708 | + | 0.440942i | ||||
\(195\) | −7.66576 | + | 6.87211i | −0.0393116 | + | 0.0352416i | ||||
\(196\) | 212.038 | − | 154.055i | 1.08183 | − | 0.785995i | ||||
\(197\) | − | 229.459i | − | 1.16476i | −0.812915 | − | 0.582382i | \(-0.802121\pi\) | ||
0.812915 | − | 0.582382i | \(-0.197879\pi\) | |||||||
\(198\) | 270.480 | − | 230.141i | 1.36606 | − | 1.16233i | ||||
\(199\) | −389.358 | −1.95657 | −0.978287 | − | 0.207253i | \(-0.933548\pi\) | ||||
−0.978287 | + | 0.207253i | \(0.933548\pi\) | |||||||
\(200\) | −211.952 | − | 291.727i | −1.05976 | − | 1.45864i | ||||
\(201\) | −125.976 | − | 140.524i | −0.626745 | − | 0.699127i | ||||
\(202\) | −14.1841 | + | 43.6541i | −0.0702182 | + | 0.216109i | ||||
\(203\) | −60.4760 | + | 83.2381i | −0.297911 | + | 0.410040i | ||||
\(204\) | −69.4260 | + | 323.161i | −0.340324 | + | 1.58412i | ||||
\(205\) | 25.0651 | − | 77.1425i | 0.122269 | − | 0.376305i | ||||
\(206\) | 240.744 | − | 78.2223i | 1.16866 | − | 0.379720i | ||||
\(207\) | 181.952 | + | 19.9256i | 0.878996 | + | 0.0962590i | ||||
\(208\) | −44.7006 | −0.214907 | ||||||||
\(209\) | −55.7108 | − | 102.000i | −0.266559 | − | 0.488037i | ||||
\(210\) | −181.976 | + | 80.5465i | −0.866553 | + | 0.383555i | ||||
\(211\) | −165.031 | + | 119.902i | −0.782137 | + | 0.568256i | −0.905620 | − | 0.424091i | \(-0.860594\pi\) |
0.123483 | + | 0.992347i | \(0.460594\pi\) | |||||||
\(212\) | −340.045 | + | 110.487i | −1.60399 | + | 0.521167i | ||||
\(213\) | −30.4767 | + | 3.13614i | −0.143083 | + | 0.0147236i | ||||
\(214\) | −534.637 | − | 388.437i | −2.49831 | − | 1.81513i | ||||
\(215\) | −19.4308 | + | 26.7442i | −0.0903757 | + | 0.124391i | ||||
\(216\) | −279.656 | + | 379.672i | −1.29471 | + | 1.75774i | ||||
\(217\) | −64.0564 | − | 197.145i | −0.295191 | − | 0.908503i | ||||
\(218\) | −123.433 | − | 169.891i | −0.566207 | − | 0.779316i | ||||
\(219\) | 204.710 | − | 90.6091i | 0.934750 | − | 0.413740i | ||||
\(220\) | −147.988 | − | 139.737i | −0.672675 | − | 0.635166i | ||||
\(221\) | 20.4342i | 0.0924626i | ||||||||
\(222\) | −67.4470 | − | 39.1367i | −0.303816 | − | 0.176291i | ||||
\(223\) | −5.10490 | − | 15.7113i | −0.0228919 | − | 0.0704542i | 0.938958 | − | 0.344032i | \(-0.111793\pi\) |
−0.961850 | + | 0.273578i | \(0.911793\pi\) | |||||||
\(224\) | −232.914 | − | 75.6783i | −1.03979 | − | 0.337850i | ||||
\(225\) | −181.929 | + | 37.8426i | −0.808571 | + | 0.168189i | ||||
\(226\) | 441.122 | + | 320.494i | 1.95187 | + | 1.41811i | ||||
\(227\) | −107.335 | − | 34.8751i | −0.472840 | − | 0.153635i | 0.0628969 | − | 0.998020i | \(-0.479966\pi\) |
−0.535737 | + | 0.844385i | \(0.679966\pi\) | |||||||
\(228\) | 187.641 | + | 209.312i | 0.822988 | + | 0.918034i | ||||
\(229\) | 298.218 | − | 216.668i | 1.30226 | − | 0.946150i | 0.302289 | − | 0.953216i | \(-0.402249\pi\) |
0.999975 | + | 0.00706607i | \(0.00224922\pi\) | |||||||
\(230\) | − | 152.217i | − | 0.661815i | ||||||
\(231\) | 240.988 | − | 165.738i | 1.04324 | − | 0.717481i | ||||
\(232\) | 202.743 | 0.873892 | ||||||||
\(233\) | 102.592 | + | 141.206i | 0.440310 | + | 0.606034i | 0.970281 | − | 0.241981i | \(-0.0777972\pi\) |
−0.529971 | + | 0.848016i | \(0.677797\pi\) | |||||||
\(234\) | −21.8102 | + | 48.4177i | −0.0932058 | + | 0.206913i | ||||
\(235\) | 29.2119 | − | 89.9049i | 0.124306 | − | 0.382574i | ||||
\(236\) | 589.992 | − | 812.054i | 2.49997 | − | 3.44091i | ||||
\(237\) | 253.161 | + | 54.3875i | 1.06819 | + | 0.229483i | ||||
\(238\) | −122.060 | + | 375.662i | −0.512856 | + | 1.57841i | ||||
\(239\) | −328.450 | + | 106.720i | −1.37427 | + | 0.446527i | −0.900781 | − | 0.434273i | \(-0.857005\pi\) |
−0.473488 | + | 0.880800i | \(0.657005\pi\) | |||||||
\(240\) | 147.130 | + | 85.3731i | 0.613040 | + | 0.355721i | ||||
\(241\) | −261.447 | −1.08484 | −0.542421 | − | 0.840107i | \(-0.682492\pi\) | ||||
−0.542421 | + | 0.840107i | \(0.682492\pi\) | |||||||
\(242\) | 365.207 | + | 234.589i | 1.50912 | + | 0.969376i | ||||
\(243\) | 119.201 | + | 211.755i | 0.490540 | + | 0.871419i | ||||
\(244\) | 556.162 | − | 404.076i | 2.27935 | − | 1.65605i | ||||
\(245\) | −58.6418 | + | 19.0539i | −0.239354 | + | 0.0777710i | ||||
\(246\) | −42.8269 | − | 416.188i | −0.174093 | − | 1.69182i | ||||
\(247\) | 14.0595 | + | 10.2148i | 0.0569209 | + | 0.0413555i | ||||
\(248\) | −240.093 | + | 330.460i | −0.968118 | + | 1.33250i | ||||
\(249\) | 35.2388 | − | 3.62617i | 0.141521 | − | 0.0145629i | ||||
\(250\) | 105.574 | + | 324.922i | 0.422294 | + | 1.29969i | ||||
\(251\) | −116.584 | − | 160.465i | −0.464480 | − | 0.639302i | 0.510950 | − | 0.859610i | \(-0.329294\pi\) |
−0.975430 | + | 0.220309i | \(0.929294\pi\) | |||||||
\(252\) | −475.641 | + | 523.648i | −1.88746 | + | 2.07797i | ||||
\(253\) | 41.3169 | + | 219.867i | 0.163308 | + | 0.869040i | ||||
\(254\) | 51.2057i | 0.201597i | ||||||||
\(255\) | 39.0270 | − | 67.2581i | 0.153047 | − | 0.263757i | ||||
\(256\) | −148.790 | − | 457.929i | −0.581211 | − | 1.78878i | ||||
\(257\) | 1.77390 | + | 0.576376i | 0.00690234 | + | 0.00224271i | 0.312466 | − | 0.949929i | \(-0.398845\pi\) |
−0.305564 | + | 0.952172i | \(0.598845\pi\) | |||||||
\(258\) | −35.8151 | + | 166.711i | −0.138818 | + | 0.646165i | ||||
\(259\) | −51.9557 | − | 37.7481i | −0.200601 | − | 0.145745i | ||||
\(260\) | 28.9447 | + | 9.40471i | 0.111326 | + | 0.0361719i | ||||
\(261\) | 42.9104 | − | 95.2594i | 0.164408 | − | 0.364978i | ||||
\(262\) | −446.023 | + | 324.055i | −1.70238 | + | 1.23685i | ||||
\(263\) | 27.0901i | 0.103004i | 0.998673 | + | 0.0515020i | \(0.0164009\pi\) | ||||
−0.998673 | + | 0.0515020i | \(0.983599\pi\) | |||||||
\(264\) | −543.341 | − | 192.215i | −2.05811 | − | 0.728087i | ||||
\(265\) | 84.1151 | 0.317416 | ||||||||
\(266\) | 197.452 | + | 271.770i | 0.742302 | + | 1.02169i | ||||
\(267\) | −166.593 | + | 149.345i | −0.623943 | + | 0.559345i | ||||
\(268\) | −172.402 | + | 530.599i | −0.643291 | + | 1.97985i | ||||
\(269\) | −83.9639 | + | 115.566i | −0.312133 | + | 0.429615i | −0.936045 | − | 0.351880i | \(-0.885542\pi\) |
0.623912 | + | 0.781495i | \(0.285542\pi\) | |||||||
\(270\) | 164.259 | − | 117.709i | 0.608368 | − | 0.435960i | ||||
\(271\) | −32.5479 | + | 100.172i | −0.120103 | + | 0.369639i | −0.992977 | − | 0.118306i | \(-0.962254\pi\) |
0.872874 | + | 0.487945i | \(0.162254\pi\) | |||||||
\(272\) | 321.107 | − | 104.334i | 1.18054 | − | 0.383580i | ||||
\(273\) | −21.9494 | + | 37.8269i | −0.0804006 | + | 0.138560i | ||||
\(274\) | 289.282 | 1.05577 | ||||||||
\(275\) | −108.868 | − | 199.323i | −0.395883 | − | 0.724812i | ||||
\(276\) | −219.008 | − | 494.797i | −0.793507 | − | 1.79274i | ||||
\(277\) | −198.144 | + | 143.960i | −0.715322 | + | 0.519712i | −0.884886 | − | 0.465807i | \(-0.845764\pi\) |
0.169564 | + | 0.985519i | \(0.445764\pi\) | |||||||
\(278\) | 723.081 | − | 234.943i | 2.60101 | − | 0.845119i | ||||
\(279\) | 104.452 | + | 182.750i | 0.374380 | + | 0.655018i | ||||
\(280\) | 261.276 | + | 189.828i | 0.933128 | + | 0.677957i | ||||
\(281\) | 38.2716 | − | 52.6763i | 0.136198 | − | 0.187460i | −0.735470 | − | 0.677557i | \(-0.763039\pi\) |
0.871668 | + | 0.490097i | \(0.163039\pi\) | |||||||
\(282\) | −49.9122 | − | 485.042i | −0.176994 | − | 1.72001i | ||||
\(283\) | −48.6936 | − | 149.864i | −0.172062 | − | 0.529553i | 0.827425 | − | 0.561576i | \(-0.189805\pi\) |
−0.999487 | + | 0.0320232i | \(0.989805\pi\) | |||||||
\(284\) | 53.2359 | + | 73.2729i | 0.187450 | + | 0.258003i | ||||
\(285\) | −26.7668 | − | 60.4734i | −0.0939187 | − | 0.212187i | ||||
\(286\) | −64.3697 | − | 8.31130i | −0.225069 | − | 0.0290605i | ||||
\(287\) | − | 344.566i | − | 1.20058i | ||||||
\(288\) | 247.207 | + | 27.0717i | 0.858358 | + | 0.0939989i | ||||
\(289\) | 41.6112 | + | 128.066i | 0.143984 | + | 0.443136i | ||||
\(290\) | −82.6322 | − | 26.8488i | −0.284939 | − | 0.0925822i | ||||
\(291\) | −226.339 | − | 48.6253i | −0.777798 | − | 0.167097i | ||||
\(292\) | −535.399 | − | 388.991i | −1.83356 | − | 1.33216i | ||||
\(293\) | 175.003 | + | 56.8620i | 0.597280 | + | 0.194068i | 0.592027 | − | 0.805918i | \(-0.298328\pi\) |
0.00525314 | + | 0.999986i | \(0.498328\pi\) | |||||||
\(294\) | −236.818 | + | 212.299i | −0.805502 | + | 0.722107i | ||||
\(295\) | −191.042 | + | 138.800i | −0.647601 | + | 0.470509i | ||||
\(296\) | 126.549i | 0.427529i | ||||||||
\(297\) | −205.310 | + | 214.608i | −0.691281 | + | 0.722586i | ||||
\(298\) | 811.906 | 2.72452 | ||||||||
\(299\) | −19.6624 | − | 27.0630i | −0.0657605 | − | 0.0905116i | ||||
\(300\) | 366.680 | + | 409.028i | 1.22227 | + | 1.36343i | ||||
\(301\) | −43.3950 | + | 133.556i | −0.144169 | + | 0.443708i | ||||
\(302\) | −575.062 | + | 791.505i | −1.90418 | + | 2.62088i | ||||
\(303\) | 8.06270 | − | 37.5299i | 0.0266096 | − | 0.123861i | ||||
\(304\) | 88.7316 | − | 273.088i | 0.291880 | − | 0.898315i | ||||
\(305\) | −153.813 | + | 49.9770i | −0.504306 | + | 0.163859i | ||||
\(306\) | 43.6633 | − | 398.715i | 0.142691 | − | 1.30299i | ||||
\(307\) | 386.672 | 1.25952 | 0.629759 | − | 0.776790i | \(-0.283154\pi\) | ||||
0.629759 | + | 0.776790i | \(0.283154\pi\) | |||||||
\(308\) | −781.321 | − | 370.284i | −2.53676 | − | 1.20222i | ||||
\(309\) | −193.578 | + | 85.6816i | −0.626465 | + | 0.277287i | ||||
\(310\) | 141.617 | − | 102.891i | 0.456830 | − | 0.331907i | ||||
\(311\) | 87.7273 | − | 28.5043i | 0.282081 | − | 0.0916538i | −0.164559 | − | 0.986367i | \(-0.552620\pi\) |
0.446641 | + | 0.894713i | \(0.352620\pi\) | |||||||
\(312\) | 85.7259 | − | 8.82143i | 0.274762 | − | 0.0282738i | ||||
\(313\) | 60.1890 | + | 43.7299i | 0.192297 | + | 0.139712i | 0.679768 | − | 0.733427i | \(-0.262080\pi\) |
−0.487471 | + | 0.873139i | \(0.662080\pi\) | |||||||
\(314\) | −12.7763 | + | 17.5851i | −0.0406889 | + | 0.0560035i | ||||
\(315\) | 144.490 | − | 82.5843i | 0.458699 | − | 0.262173i | ||||
\(316\) | −236.541 | − | 728.000i | −0.748549 | − | 2.30380i | ||||
\(317\) | 307.870 | + | 423.746i | 0.971198 | + | 1.33674i | 0.941440 | + | 0.337182i | \(0.109474\pi\) |
0.0297582 | + | 0.999557i | \(0.490526\pi\) | |||||||
\(318\) | 396.747 | − | 175.609i | 1.24763 | − | 0.552229i | ||||
\(319\) | 126.644 | + | 16.3520i | 0.397003 | + | 0.0512603i | ||||
\(320\) | 19.9982i | 0.0624943i | ||||||||
\(321\) | 478.015 | + | 277.372i | 1.48914 | + | 0.864087i | ||||
\(322\) | −199.817 | − | 614.974i | −0.620550 | − | 1.90986i | ||||
\(323\) | −124.838 | − | 40.5623i | −0.386495 | − | 0.125580i | ||||
\(324\) | 364.582 | − | 618.958i | 1.12525 | − | 1.91037i | ||||
\(325\) | 27.4744 | + | 19.9613i | 0.0845366 | + | 0.0614194i | ||||
\(326\) | −552.446 | − | 179.501i | −1.69462 | − | 0.550615i | ||||
\(327\) | 117.227 | + | 130.765i | 0.358492 | + | 0.399894i | ||||
\(328\) | −549.303 | + | 399.092i | −1.67470 | + | 1.21674i | ||||
\(329\) | − | 401.571i | − | 1.22058i | ||||||
\(330\) | 195.996 | + | 150.295i | 0.593926 | + | 0.455439i | ||||
\(331\) | 251.706 | 0.760441 | 0.380221 | − | 0.924896i | \(-0.375848\pi\) | ||||
0.380221 | + | 0.924896i | \(0.375848\pi\) | |||||||
\(332\) | −61.5542 | − | 84.7221i | −0.185404 | − | 0.255187i | ||||
\(333\) | 59.4592 | + | 26.7839i | 0.178556 | + | 0.0804321i | ||||
\(334\) | −176.488 | + | 543.173i | −0.528406 | + | 1.62627i | ||||
\(335\) | 77.1476 | − | 106.185i | 0.230291 | − | 0.316969i | ||||
\(336\) | 706.488 | + | 151.778i | 2.10264 | + | 0.451719i | ||||
\(337\) | −15.3428 | + | 47.2202i | −0.0455275 | + | 0.140119i | −0.971236 | − | 0.238118i | \(-0.923470\pi\) |
0.925709 | + | 0.378237i | \(0.123470\pi\) | |||||||
\(338\) | −567.348 | + | 184.342i | −1.67854 | + | 0.545392i | ||||
\(339\) | −394.403 | − | 228.855i | −1.16343 | − | 0.675090i | ||||
\(340\) | −229.875 | −0.676104 | ||||||||
\(341\) | −176.628 | + | 187.058i | −0.517971 | + | 0.548558i | ||||
\(342\) | −252.503 | − | 229.354i | −0.738313 | − | 0.670626i | ||||
\(343\) | 139.440 | − | 101.309i | 0.406531 | − | 0.295362i | ||||
\(344\) | 263.175 | − | 85.5108i | 0.765044 | − | 0.248578i | ||||
\(345\) | 13.0305 | + | 126.629i | 0.0377695 | + | 0.367041i | ||||
\(346\) | −111.501 | − | 81.0099i | −0.322256 | − | 0.234133i | ||||
\(347\) | 270.251 | − | 371.969i | 0.778822 | − | 1.07196i | −0.216589 | − | 0.976263i | \(-0.569493\pi\) |
0.995411 | − | 0.0956933i | \(-0.0305068\pi\) | |||||||
\(348\) | −307.233 | + | 31.6152i | −0.882855 | + | 0.0908482i | ||||
\(349\) | −121.675 | − | 374.478i | −0.348640 | − | 1.07300i | −0.959606 | − | 0.281346i | \(-0.909219\pi\) |
0.610967 | − | 0.791656i | \(-0.290781\pi\) | |||||||
\(350\) | 385.853 | + | 531.081i | 1.10244 | + | 1.51737i | ||||
\(351\) | 13.9990 | − | 42.1456i | 0.0398833 | − | 0.120073i | ||||
\(352\) | 56.1347 | + | 298.720i | 0.159474 | + | 0.848635i | ||||
\(353\) | 16.9433i | 0.0479980i | 0.999712 | + | 0.0239990i | \(0.00763985\pi\) | ||||
−0.999712 | + | 0.0239990i | \(0.992360\pi\) | |||||||
\(354\) | −611.315 | + | 1053.52i | −1.72688 | + | 2.97606i | ||||
\(355\) | −6.58434 | − | 20.2645i | −0.0185474 | − | 0.0570832i | ||||
\(356\) | 629.029 | + | 204.384i | 1.76693 | + | 0.574112i | ||||
\(357\) | 69.3828 | − | 322.960i | 0.194350 | − | 0.904651i | ||||
\(358\) | −395.141 | − | 287.086i | −1.10374 | − | 0.801917i | ||||
\(359\) | 72.1739 | + | 23.4507i | 0.201041 | + | 0.0653223i | 0.407807 | − | 0.913068i | \(-0.366294\pi\) |
−0.206765 | + | 0.978391i | \(0.566294\pi\) | |||||||
\(360\) | −299.010 | − | 134.691i | −0.830582 | − | 0.374143i | ||||
\(361\) | 201.742 | − | 146.574i | 0.558842 | − | 0.406022i | ||||
\(362\) | 467.565i | 1.29162i | ||||||||
\(363\) | −323.897 | − | 163.890i | −0.892277 | − | 0.451489i | ||||
\(364\) | 129.285 | 0.355179 | ||||||||
\(365\) | 91.5131 | + | 125.957i | 0.250721 | + | 0.345087i | ||||
\(366\) | −621.156 | + | 556.847i | −1.69715 | + | 1.52144i | ||||
\(367\) | 191.376 | − | 588.996i | 0.521462 | − | 1.60489i | −0.249747 | − | 0.968311i | \(-0.580347\pi\) |
0.771209 | − | 0.636583i | \(-0.219653\pi\) | |||||||
\(368\) | −324.879 | + | 447.157i | −0.882823 | + | 1.21510i | ||||
\(369\) | 71.2551 | + | 342.559i | 0.193103 | + | 0.928345i | ||||
\(370\) | 16.7586 | − | 51.5776i | 0.0452935 | − | 0.139399i | ||||
\(371\) | 339.833 | − | 110.419i | 0.915993 | − | 0.297624i | ||||
\(372\) | 312.302 | − | 538.213i | 0.839523 | − | 1.44681i | ||||
\(373\) | −365.674 | −0.980359 | −0.490179 | − | 0.871622i | \(-0.663069\pi\) | ||||
−0.490179 | + | 0.871622i | \(0.663069\pi\) | |||||||
\(374\) | 481.798 | − | 90.5385i | 1.28823 | − | 0.242081i | ||||
\(375\) | −115.641 | − | 261.264i | −0.308376 | − | 0.696704i | ||||
\(376\) | −640.180 | + | 465.118i | −1.70261 | + | 1.23702i | ||||
\(377\) | −18.1595 | + | 5.90037i | −0.0481683 | + | 0.0156508i | ||||
\(378\) | 509.106 | − | 691.182i | 1.34684 | − | 1.82852i | ||||
\(379\) | 331.603 | + | 240.924i | 0.874943 | + | 0.635683i | 0.931909 | − | 0.362693i | \(-0.118143\pi\) |
−0.0569658 | + | 0.998376i | \(0.518143\pi\) | |||||||
\(380\) | −114.912 | + | 158.162i | −0.302399 | + | 0.416217i | ||||
\(381\) | −4.38344 | − | 42.5979i | −0.0115051 | − | 0.111805i | ||||
\(382\) | 349.829 | + | 1076.66i | 0.915784 | + | 2.81849i | ||||
\(383\) | 31.1300 | + | 42.8468i | 0.0812795 | + | 0.111872i | 0.847721 | − | 0.530443i | \(-0.177974\pi\) |
−0.766441 | + | 0.642314i | \(0.777974\pi\) | |||||||
\(384\) | 175.956 | + | 397.532i | 0.458219 | + | 1.03524i | ||||
\(385\) | 147.896 | + | 139.650i | 0.384147 | + | 0.362726i | ||||
\(386\) | − | 525.213i | − | 1.36065i | ||||||
\(387\) | 15.5233 | − | 141.752i | 0.0401118 | − | 0.366284i | ||||
\(388\) | 211.481 | + | 650.871i | 0.545053 | + | 1.67750i | ||||
\(389\) | −86.2286 | − | 28.0174i | −0.221667 | − | 0.0720241i | 0.196078 | − | 0.980588i | \(-0.437179\pi\) |
−0.417745 | + | 0.908564i | \(0.637179\pi\) | |||||||
\(390\) | −36.1076 | − | 7.75714i | −0.0925836 | − | 0.0198901i | ||||
\(391\) | 204.411 | + | 148.514i | 0.522791 | + | 0.379830i | ||||
\(392\) | 490.879 | + | 159.496i | 1.25224 | + | 0.406878i | ||||
\(393\) | 343.304 | − | 307.762i | 0.873548 | − | 0.783108i | ||||
\(394\) | 665.927 | − | 483.824i | 1.69017 | − | 1.22798i | ||||
\(395\) | 180.081i | 0.455902i | ||||||||
\(396\) | 853.343 | + | 206.553i | 2.15491 | + | 0.521597i | ||||
\(397\) | −335.768 | −0.845763 | −0.422882 | − | 0.906185i | \(-0.638981\pi\) | ||||
−0.422882 | + | 0.906185i | \(0.638981\pi\) | |||||||
\(398\) | −820.981 | − | 1129.98i | −2.06277 | − | 2.83915i | ||||
\(399\) | −187.525 | − | 209.182i | −0.469986 | − | 0.524264i | ||||
\(400\) | 173.395 | − | 533.656i | 0.433489 | − | 1.33414i | ||||
\(401\) | 11.1216 | − | 15.3075i | 0.0277346 | − | 0.0381734i | −0.794925 | − | 0.606708i | \(-0.792490\pi\) |
0.822659 | + | 0.568535i | \(0.192490\pi\) | |||||||
\(402\) | 142.200 | − | 661.905i | 0.353730 | − | 1.64653i | ||||
\(403\) | 11.8876 | − | 36.5863i | 0.0294978 | − | 0.0907849i | ||||
\(404\) | −107.923 | + | 35.0662i | −0.267135 | + | 0.0867975i | ||||
\(405\) | −126.570 | + | 111.983i | −0.312519 | + | 0.276502i | ||||
\(406\) | −369.087 | −0.909082 | ||||||||
\(407\) | −10.2067 | + | 79.0490i | −0.0250778 | + | 0.194224i | ||||
\(408\) | −595.221 | + | 263.458i | −1.45888 | + | 0.645730i | ||||
\(409\) | 96.4856 | − | 70.1009i | 0.235906 | − | 0.171396i | −0.463551 | − | 0.886070i | \(-0.653425\pi\) |
0.699457 | + | 0.714674i | \(0.253425\pi\) | |||||||
\(410\) | 276.731 | − | 89.9154i | 0.674954 | − | 0.219306i | ||||
\(411\) | −240.653 | + | 24.7638i | −0.585529 | + | 0.0602526i | ||||
\(412\) | 506.283 | + | 367.836i | 1.22884 | + | 0.892806i | ||||
\(413\) | −589.625 | + | 811.549i | −1.42766 | + | 1.96501i | ||||
\(414\) | 325.827 | + | 570.070i | 0.787023 | + | 1.37698i | ||||
\(415\) | 7.61317 | + | 23.4309i | 0.0183450 | + | 0.0564601i | ||||
\(416\) | −26.7141 | − | 36.7688i | −0.0642165 | − | 0.0883865i | ||||
\(417\) | −581.416 | + | 257.347i | −1.39428 | + | 0.617140i | ||||
\(418\) | 178.551 | − | 376.753i | 0.427155 | − | 0.901324i | ||||
\(419\) | 412.874i | 0.985381i | 0.870205 | + | 0.492690i | \(0.163986\pi\) | ||||
−0.870205 | + | 0.492690i | \(0.836014\pi\) | |||||||
\(420\) | −425.535 | − | 246.920i | −1.01318 | − | 0.587904i | ||||
\(421\) | 186.937 | + | 575.334i | 0.444032 | + | 1.36659i | 0.883542 | + | 0.468351i | \(0.155152\pi\) |
−0.439511 | + | 0.898237i | \(0.644848\pi\) | |||||||
\(422\) | −695.951 | − | 226.128i | −1.64917 | − | 0.535849i | ||||
\(423\) | 83.0435 | + | 399.232i | 0.196320 | + | 0.943811i | ||||
\(424\) | −569.638 | − | 413.866i | −1.34349 | − | 0.976100i | ||||
\(425\) | −243.953 | − | 79.2651i | −0.574007 | − | 0.186506i | ||||
\(426\) | −73.3631 | − | 81.8357i | −0.172214 | − | 0.192103i | ||||
\(427\) | −555.816 | + | 403.824i | −1.30168 | + | 0.945724i | ||||
\(428\) | − | 1633.76i | − | 3.81721i | ||||||
\(429\) | 54.2604 | + | 1.40381i | 0.126481 | + | 0.00327228i | ||||
\(430\) | −118.587 | −0.275783 | ||||||||
\(431\) | −260.636 | − | 358.735i | −0.604724 | − | 0.832331i | 0.391407 | − | 0.920218i | \(-0.371989\pi\) |
−0.996130 | + | 0.0878868i | \(0.971989\pi\) | |||||||
\(432\) | −733.759 | − | 4.79422i | −1.69852 | − | 0.0110977i | ||||
\(433\) | 67.6685 | − | 208.262i | 0.156278 | − | 0.480975i | −0.842010 | − | 0.539462i | \(-0.818628\pi\) |
0.998288 | + | 0.0584870i | \(0.0186276\pi\) | |||||||
\(434\) | 437.082 | − | 601.592i | 1.00710 | − | 1.38616i | ||||
\(435\) | 71.0399 | + | 15.2618i | 0.163310 | + | 0.0350845i | ||||
\(436\) | 160.429 | − | 493.749i | 0.367956 | − | 1.13245i | ||||
\(437\) | 204.365 | − | 66.4022i | 0.467655 | − | 0.151950i | ||||
\(438\) | 694.604 | + | 403.049i | 1.58585 | + | 0.920204i | ||||
\(439\) | 171.641 | 0.390982 | 0.195491 | − | 0.980705i | \(-0.437370\pi\) | ||||
0.195491 | + | 0.980705i | \(0.437370\pi\) | |||||||
\(440\) | 51.3274 | − | 397.523i | 0.116653 | − | 0.903461i | ||||
\(441\) | 178.834 | − | 196.884i | 0.405519 | − | 0.446449i | ||||
\(442\) | −59.3035 | + | 43.0865i | −0.134171 | + | 0.0974808i | ||||
\(443\) | 563.538 | − | 183.105i | 1.27209 | − | 0.413328i | 0.406305 | − | 0.913737i | \(-0.366817\pi\) |
0.865789 | + | 0.500409i | \(0.166817\pi\) | |||||||
\(444\) | −19.7336 | − | 191.770i | −0.0444451 | − | 0.431914i | ||||
\(445\) | −125.883 | − | 91.4591i | −0.282882 | − | 0.205526i | ||||
\(446\) | 34.8328 | − | 47.9432i | 0.0781005 | − | 0.107496i | ||||
\(447\) | −675.422 | + | 69.5028i | −1.51101 | + | 0.155487i | ||||
\(448\) | 26.2518 | + | 80.7946i | 0.0585977 | + | 0.180345i | ||||
\(449\) | −256.349 | − | 352.835i | −0.570934 | − | 0.785823i | 0.421731 | − | 0.906721i | \(-0.361423\pi\) |
−0.992665 | + | 0.120898i | \(0.961423\pi\) | |||||||
\(450\) | −493.430 | − | 448.194i | −1.09651 | − | 0.995986i | ||||
\(451\) | −375.312 | + | 204.991i | −0.832178 | + | 0.454524i | ||||
\(452\) | 1347.99i | 2.98229i | ||||||||
\(453\) | 410.636 | − | 707.678i | 0.906480 | − | 1.56220i | ||||
\(454\) | −125.107 | − | 385.039i | −0.275566 | − | 0.848103i | ||||
\(455\) | −28.9267 | − | 9.39886i | −0.0635752 | − | 0.0206568i | ||||
\(456\) | −116.275 | + | 541.232i | −0.254989 | + | 1.18691i | ||||
\(457\) | −192.984 | − | 140.211i | −0.422285 | − | 0.306808i | 0.356272 | − | 0.934382i | \(-0.384048\pi\) |
−0.778556 | + | 0.627575i | \(0.784048\pi\) | |||||||
\(458\) | 1257.62 | + | 408.624i | 2.74589 | + | 0.892192i | ||||
\(459\) | −2.19161 | + | 335.427i | −0.00477474 | + | 0.730778i | ||||
\(460\) | 304.446 | − | 221.193i | 0.661838 | − | 0.480854i | ||||
\(461\) | 711.175i | 1.54268i | 0.636424 | + | 0.771339i | \(0.280413\pi\) | ||||
−0.636424 | + | 0.771339i | \(0.719587\pi\) | |||||||
\(462\) | 989.135 | + | 349.921i | 2.14098 | + | 0.757406i | ||||
\(463\) | −461.487 | −0.996732 | −0.498366 | − | 0.866967i | \(-0.666066\pi\) | ||||
−0.498366 | + | 0.866967i | \(0.666066\pi\) | |||||||
\(464\) | 185.439 | + | 255.234i | 0.399652 | + | 0.550074i | ||||
\(465\) | −109.003 | + | 97.7178i | −0.234415 | + | 0.210146i | ||||
\(466\) | −193.483 | + | 595.479i | −0.415199 | + | 1.27785i | ||||
\(467\) | 28.4397 | − | 39.1438i | 0.0608986 | − | 0.0838198i | −0.777481 | − | 0.628906i | \(-0.783503\pi\) |
0.838380 | + | 0.545086i | \(0.183503\pi\) | |||||||
\(468\) | −128.532 | + | 26.7357i | −0.274641 | + | 0.0571276i | ||||
\(469\) | 172.295 | − | 530.269i | 0.367366 | − | 1.13064i | ||||
\(470\) | 322.514 | − | 104.791i | 0.686199 | − | 0.222960i | ||||
\(471\) | 9.12322 | − | 15.7227i | 0.0193699 | − | 0.0333815i | ||||
\(472\) | 1976.69 | 4.18790 | ||||||||
\(473\) | 171.290 | − | 32.1884i | 0.362135 | − | 0.0680517i | ||||
\(474\) | 375.960 | + | 849.393i | 0.793164 | + | 1.79197i | ||||
\(475\) | −176.486 | + | 128.225i | −0.371550 | + | 0.269947i | ||||
\(476\) | −928.719 | + | 301.759i | −1.95109 | + | 0.633948i | ||||
\(477\) | −315.020 | + | 180.052i | −0.660419 | + | 0.377467i | ||||
\(478\) | −1002.27 | − | 728.193i | −2.09680 | − | 1.52342i | ||||
\(479\) | −100.761 | + | 138.685i | −0.210357 | + | 0.289531i | −0.901138 | − | 0.433533i | \(-0.857267\pi\) |
0.690781 | + | 0.723064i | \(0.257267\pi\) | |||||||
\(480\) | 17.7037 | + | 172.043i | 0.0368827 | + | 0.358423i | ||||
\(481\) | −3.68291 | − | 11.3348i | −0.00765677 | − | 0.0235651i | ||||
\(482\) | −551.274 | − | 758.763i | −1.14372 | − | 1.57420i | ||||
\(483\) | 218.872 | + | 494.489i | 0.453150 | + | 1.02379i | ||||
\(484\) | 61.5015 | + | 1071.33i | 0.127069 | + | 2.21349i | ||||
\(485\) | − | 161.002i | − | 0.331964i | ||||||
\(486\) | −363.206 | + | 792.437i | −0.747338 | + | 1.63053i | ||||
\(487\) | −153.117 | − | 471.247i | −0.314409 | − | 0.967653i | −0.975997 | − | 0.217785i | \(-0.930117\pi\) |
0.661587 | − | 0.749868i | \(-0.269883\pi\) | |||||||
\(488\) | 1287.54 | + | 418.348i | 2.63841 | + | 0.857270i | ||||
\(489\) | 474.944 | + | 102.034i | 0.971256 | + | 0.208659i | ||||
\(490\) | −178.947 | − | 130.012i | −0.365197 | − | 0.265331i | ||||
\(491\) | 314.085 | + | 102.052i | 0.639684 | + | 0.207846i | 0.610860 | − | 0.791738i | \(-0.290824\pi\) |
0.0288242 | + | 0.999584i | \(0.490824\pi\) | |||||||
\(492\) | 770.172 | − | 690.434i | 1.56539 | − | 1.40332i | ||||
\(493\) | 116.677 | − | 84.7705i | 0.236666 | − | 0.171948i | ||||
\(494\) | 62.3413i | 0.126197i | ||||||||
\(495\) | −175.914 | − | 108.252i | −0.355382 | − | 0.218690i | ||||
\(496\) | −635.619 | −1.28149 | ||||||||
\(497\) | −53.2028 | − | 73.2274i | −0.107048 | − | 0.147339i | ||||
\(498\) | 84.8264 | + | 94.6229i | 0.170334 | + | 0.190006i | ||||
\(499\) | 33.9303 | − | 104.427i | 0.0679966 | − | 0.209272i | −0.911285 | − | 0.411777i | \(-0.864908\pi\) |
0.979281 | + | 0.202505i | \(0.0649083\pi\) | |||||||
\(500\) | −496.454 | + | 683.310i | −0.992908 | + | 1.36662i | ||||
\(501\) | 100.321 | − | 466.972i | 0.200242 | − | 0.932080i | ||||
\(502\) | 219.872 | − | 676.695i | 0.437991 | − | 1.34800i | ||||
\(503\) | 543.721 | − | 176.666i | 1.08096 | − | 0.351224i | 0.286210 | − | 0.958167i | \(-0.407604\pi\) |
0.794745 | + | 0.606943i | \(0.207604\pi\) | |||||||
\(504\) | −1384.84 | − | 151.654i | −2.74770 | − | 0.300901i | ||||
\(505\) | 26.6963 | 0.0528639 | ||||||||
\(506\) | −550.972 | + | 583.509i | −1.08888 | + | 1.15318i | ||||
\(507\) | 456.194 | − | 201.921i | 0.899791 | − | 0.398267i | ||||
\(508\) | −102.415 | + | 74.4089i | −0.201604 | + | 0.146474i | ||||
\(509\) | −514.449 | + | 167.155i | −1.01071 | + | 0.328398i | −0.767136 | − | 0.641485i | \(-0.778319\pi\) |
−0.243570 | + | 0.969883i | \(0.578319\pi\) | |||||||
\(510\) | 277.484 | − | 28.5539i | 0.544087 | − | 0.0559881i | ||||
\(511\) | 535.067 | + | 388.749i | 1.04710 | + | 0.760760i | ||||
\(512\) | 674.549 | − | 928.437i | 1.31748 | − | 1.81335i | ||||
\(513\) | 229.690 | + | 169.184i | 0.447739 | + | 0.329793i | ||||
\(514\) | 2.06762 | + | 6.36348i | 0.00402260 | + | 0.0123803i | ||||
\(515\) | −86.5364 | − | 119.107i | −0.168032 | − | 0.231276i | ||||
\(516\) | −385.477 | + | 170.620i | −0.747049 | + | 0.330660i | ||||
\(517\) | −437.404 | + | 238.904i | −0.846042 | + | 0.462097i | ||||
\(518\) | − | 230.378i | − | 0.444745i | ||||||
\(519\) | 99.6917 | + | 57.8469i | 0.192084 | + | 0.111458i | ||||
\(520\) | 18.5207 | + | 57.0007i | 0.0356167 | + | 0.109617i | ||||
\(521\) | −321.351 | − | 104.413i | −0.616796 | − | 0.200409i | −0.0160786 | − | 0.999871i | \(-0.505118\pi\) |
−0.600717 | + | 0.799462i | \(0.705118\pi\) | |||||||
\(522\) | 366.937 | − | 76.3259i | 0.702945 | − | 0.146218i | ||||
\(523\) | −248.719 | − | 180.705i | −0.475562 | − | 0.345516i | 0.324043 | − | 0.946042i | \(-0.394958\pi\) |
−0.799605 | + | 0.600526i | \(0.794958\pi\) | |||||||
\(524\) | −1296.26 | − | 421.182i | −2.47379 | − | 0.803782i | ||||
\(525\) | −366.452 | − | 408.773i | −0.698004 | − | 0.778616i | ||||
\(526\) | −78.6199 | + | 57.1207i | −0.149467 | + | 0.108594i | ||||
\(527\) | 290.564i | 0.551355i | ||||||||
\(528\) | −254.985 | − | 859.824i | −0.482927 | − | 1.62845i | ||||
\(529\) | 115.375 | 0.218100 | ||||||||
\(530\) | 177.361 | + | 244.116i | 0.334643 | + | 0.460596i | ||||
\(531\) | 418.365 | − | 928.754i | 0.787881 | − | 1.74907i | ||||
\(532\) | −256.634 | + | 789.837i | −0.482394 | + | 1.48466i | ||||
\(533\) | 37.5858 | − | 51.7324i | 0.0705175 | − | 0.0970590i | ||||
\(534\) | −784.693 | − | 168.579i | −1.46946 | − | 0.315691i | ||||
\(535\) | −118.772 | + | 365.544i | −0.222005 | + | 0.683260i | ||||
\(536\) | −1044.91 | + | 339.511i | −1.94945 | + | 0.633415i | ||||
\(537\) | 353.292 | + | 205.000i | 0.657899 | + | 0.381751i | ||||
\(538\) | −512.434 | −0.952480 | ||||||||
\(539\) | 293.765 | + | 139.221i | 0.545019 | + | 0.258296i | ||||
\(540\) | 474.118 | + | 157.482i | 0.877996 | + | 0.291634i | ||||
\(541\) | 66.9072 | − | 48.6109i | 0.123673 | − | 0.0898538i | −0.524229 | − | 0.851577i | \(-0.675646\pi\) |
0.647902 | + | 0.761723i | \(0.275646\pi\) | |||||||
\(542\) | −359.345 | + | 116.758i | −0.662998 | + | 0.215421i | ||||
\(543\) | −40.0257 | − | 388.966i | −0.0737121 | − | 0.716327i | ||||
\(544\) | 277.721 | + | 201.776i | 0.510516 | + | 0.370912i | ||||
\(545\) | −71.7898 | + | 98.8103i | −0.131724 | + | 0.181303i | ||||
\(546\) | −156.061 | + | 16.0591i | −0.285826 | + | 0.0294123i | ||||
\(547\) | −122.586 | − | 377.280i | −0.224105 | − | 0.689725i | −0.998381 | − | 0.0568769i | \(-0.981886\pi\) |
0.774276 | − | 0.632848i | \(-0.218114\pi\) | |||||||
\(548\) | 420.366 | + | 578.584i | 0.767091 | + | 1.05581i | ||||
\(549\) | 469.069 | − | 516.413i | 0.854407 | − | 0.940642i | ||||
\(550\) | 348.917 | − | 736.235i | 0.634394 | − | 1.33861i | ||||
\(551\) | − | 122.653i | − | 0.222601i | ||||||
\(552\) | 534.801 | − | 921.661i | 0.968843 | − | 1.66968i | ||||
\(553\) | 236.394 | + | 727.547i | 0.427476 | + | 1.31564i | ||||
\(554\) | −835.593 | − | 271.500i | −1.50829 | − | 0.490073i | ||||
\(555\) | −9.52613 | + | 44.3418i | −0.0171642 | + | 0.0798952i | ||||
\(556\) | 1520.64 | + | 1104.81i | 2.73496 | + | 1.98706i | ||||
\(557\) | 364.339 | + | 118.381i | 0.654109 | + | 0.212533i | 0.617225 | − | 0.786787i | \(-0.288257\pi\) |
0.0368842 | + | 0.999320i | \(0.488257\pi\) | |||||||
\(558\) | −310.129 | + | 688.475i | −0.555787 | + | 1.23383i | ||||
\(559\) | −21.0837 | + | 15.3182i | −0.0377168 | + | 0.0274029i | ||||
\(560\) | 502.548i | 0.897407i | ||||||||
\(561\) | −393.056 | + | 116.563i | −0.700634 | + | 0.207777i | ||||
\(562\) | 233.573 | 0.415610 | ||||||||
\(563\) | 85.1328 | + | 117.175i | 0.151213 | + | 0.208127i | 0.877903 | − | 0.478839i | \(-0.158942\pi\) |
−0.726690 | + | 0.686966i | \(0.758942\pi\) | |||||||
\(564\) | 897.589 | − | 804.660i | 1.59147 | − | 1.42670i | ||||
\(565\) | 97.9974 | − | 301.605i | 0.173447 | − | 0.533814i | ||||
\(566\) | 332.256 | − | 457.311i | 0.587025 | − | 0.807971i | ||||
\(567\) | −364.355 | + | 618.573i | −0.642601 | + | 1.09096i | ||||
\(568\) | −55.1163 | + | 169.630i | −0.0970357 | + | 0.298645i | ||||
\(569\) | 877.968 | − | 285.269i | 1.54300 | − | 0.501352i | 0.590800 | − | 0.806818i | \(-0.298812\pi\) |
0.952203 | + | 0.305466i | \(0.0988124\pi\) | |||||||
\(570\) | 119.065 | − | 205.193i | 0.208886 | − | 0.359987i | ||||
\(571\) | 421.725 | 0.738573 | 0.369287 | − | 0.929316i | \(-0.379602\pi\) | ||||
0.369287 | + | 0.929316i | \(0.379602\pi\) | |||||||
\(572\) | −76.9147 | − | 140.821i | −0.134466 | − | 0.246191i | ||||
\(573\) | −383.189 | − | 865.726i | −0.668742 | − | 1.51087i | ||||
\(574\) | 999.989 | − | 726.534i | 1.74214 | − | 1.26574i | ||||
\(575\) | 399.361 | − | 129.760i | 0.694541 | − | 0.225670i | ||||
\(576\) | −42.8069 | − | 74.8952i | −0.0743175 | − | 0.130026i | ||||
\(577\) | −372.478 | − | 270.621i | −0.645542 | − | 0.469014i | 0.216208 | − | 0.976347i | \(-0.430631\pi\) |
−0.861750 | + | 0.507334i | \(0.830631\pi\) | |||||||
\(578\) | −283.930 | + | 390.796i | −0.491229 | + | 0.676118i | ||||
\(579\) | 44.9605 | + | 436.923i | 0.0776521 | + | 0.754616i | ||||
\(580\) | −66.3763 | − | 204.285i | −0.114442 | − | 0.352216i | ||||
\(581\) | 61.5160 | + | 84.6694i | 0.105879 | + | 0.145731i | ||||
\(582\) | −336.128 | − | 759.403i | −0.577539 | − | 1.30482i | ||||
\(583\) | −322.446 | − | 304.466i | −0.553081 | − | 0.522241i | ||||
\(584\) | − | 1303.26i | − | 2.23161i | ||||||
\(585\) | 30.7019 | + | 3.36217i | 0.0524818 | + | 0.00574729i | ||||
\(586\) | 203.979 | + | 627.784i | 0.348088 | + | 1.07130i | ||||
\(587\) | −40.3860 | − | 13.1222i | −0.0688007 | − | 0.0223547i | 0.274414 | − | 0.961612i | \(-0.411516\pi\) |
−0.343215 | + | 0.939257i | \(0.611516\pi\) | |||||||
\(588\) | −768.742 | − | 165.152i | −1.30738 | − | 0.280870i | ||||
\(589\) | 199.918 | + | 145.249i | 0.339420 | + | 0.246603i | ||||
\(590\) | −805.643 | − | 261.769i | −1.36550 | − | 0.443677i | ||||
\(591\) | −512.565 | + | 459.498i | −0.867284 | + | 0.777492i | ||||
\(592\) | −159.313 | + | 115.748i | −0.269109 | + | 0.195519i | ||||
\(593\) | − | 106.267i | − | 0.179203i | −0.995978 | − | 0.0896015i | \(-0.971441\pi\) | ||
0.995978 | − | 0.0896015i | \(-0.0285593\pi\) | |||||||
\(594\) | −1055.74 | − | 143.333i | −1.77733 | − | 0.241302i | ||||
\(595\) | 229.732 | 0.386105 | ||||||||
\(596\) | 1179.81 | + | 1623.87i | 1.97955 | + | 2.72461i | ||||
\(597\) | 779.702 | + | 869.749i | 1.30603 | + | 1.45687i | ||||
\(598\) | 37.0822 | − | 114.127i | 0.0620103 | − | 0.190848i | ||||
\(599\) | −427.915 | + | 588.974i | −0.714382 | + | 0.983263i | 0.285309 | + | 0.958435i | \(0.407904\pi\) |
−0.999692 | + | 0.0248274i | \(0.992096\pi\) | |||||||
\(600\) | −227.220 | + | 1057.65i | −0.378699 | + | 1.76275i | ||||
\(601\) | −36.6474 | + | 112.789i | −0.0609774 | + | 0.187669i | −0.976905 | − | 0.213675i | \(-0.931457\pi\) |
0.915927 | + | 0.401344i | \(0.131457\pi\) | |||||||
\(602\) | −479.102 | + | 155.670i | −0.795851 | + | 0.258588i | ||||
\(603\) | −61.6334 | + | 562.809i | −0.102211 | + | 0.933349i | ||||
\(604\) | −2418.71 | −4.00448 | ||||||||
\(605\) | 64.1237 | − | 244.174i | 0.105990 | − | 0.403594i | ||||
\(606\) | 125.919 | − | 55.7343i | 0.207787 | − | 0.0919708i | ||||
\(607\) | −576.993 | + | 419.210i | −0.950565 | + | 0.690626i | −0.950941 | − | 0.309374i | \(-0.899881\pi\) |
0.000375194 | 1.00000i | \(0.499881\pi\) | ||||||||
\(608\) | 277.658 | − | 90.2165i | 0.456674 | − | 0.148382i | ||||
\(609\) | 307.042 | − | 31.5955i | 0.504175 | − | 0.0518810i | ||||
\(610\) | −469.365 | − | 341.013i | −0.769450 | − | 0.559038i | ||||
\(611\) | 43.8040 | − | 60.2910i | 0.0716923 | − | 0.0986760i | ||||
\(612\) | 860.906 | − | 492.057i | 1.40671 | − | 0.804015i | ||||
\(613\) | 212.439 | + | 653.818i | 0.346555 | + | 1.06659i | 0.960746 | + | 0.277430i | \(0.0894827\pi\) |
−0.614190 | + | 0.789158i | \(0.710517\pi\) | |||||||
\(614\) | 815.316 | + | 1122.19i | 1.32788 | + | 1.82767i | ||||
\(615\) | −222.515 | + | 98.4898i | −0.361812 | + | 0.160146i | ||||
\(616\) | −314.463 | − | 1673.41i | −0.510493 | − | 2.71657i | ||||
\(617\) | − | 762.156i | − | 1.23526i | −0.786468 | − | 0.617631i | \(-0.788093\pi\) | ||
0.786468 | − | 0.617631i | \(-0.211907\pi\) | |||||||
\(618\) | −656.830 | − | 381.131i | −1.06283 | − | 0.616716i | ||||
\(619\) | −163.995 | − | 504.724i | −0.264935 | − | 0.815386i | −0.991708 | − | 0.128509i | \(-0.958981\pi\) |
0.726773 | − | 0.686877i | \(-0.241019\pi\) | |||||||
\(620\) | 411.578 | + | 133.730i | 0.663836 | + | 0.215693i | ||||
\(621\) | −319.855 | − | 446.347i | −0.515065 | − | 0.718755i | ||||
\(622\) | 267.702 | + | 194.497i | 0.430388 | + | 0.312695i | ||||
\(623\) | −628.637 | − | 204.257i | −1.00905 | − | 0.327860i | ||||
\(624\) | 89.5144 | + | 99.8523i | 0.143453 | + | 0.160020i | ||||
\(625\) | −256.839 | + | 186.605i | −0.410943 | + | 0.298568i | ||||
\(626\) | 266.885i | 0.426334i | ||||||||
\(627\) | −116.284 | + | 328.704i | −0.185461 | + | 0.524250i | ||||
\(628\) | −53.7372 | −0.0855688 | ||||||||
\(629\) | 52.9123 | + | 72.8275i | 0.0841212 | + | 0.115783i | ||||
\(630\) | 544.338 | + | 245.201i | 0.864028 | + | 0.389208i | ||||
\(631\) | 209.034 | − | 643.341i | 0.331274 | − | 1.01956i | −0.637254 | − | 0.770654i | \(-0.719930\pi\) |
0.968528 | − | 0.248904i | \(-0.0800703\pi\) | |||||||
\(632\) | 886.043 | − | 1219.53i | 1.40197 | − | 1.92964i | ||||
\(633\) | 598.317 | + | 128.539i | 0.945208 | + | 0.203063i | ||||
\(634\) | −580.624 | + | 1786.98i | −0.915811 | + | 2.81858i | ||||
\(635\) | 28.3241 | − | 9.20306i | 0.0446049 | − | 0.0144930i | ||||
\(636\) | 927.757 | + | 538.338i | 1.45874 | + | 0.846444i | ||||
\(637\) | −48.6093 | −0.0763097 | ||||||||
\(638\) | 219.579 | + | 402.021i | 0.344167 | + | 0.630127i | ||||
\(639\) | 68.0360 | + | 61.7987i | 0.106473 | + | 0.0967115i | ||||
\(640\) | −244.599 | + | 177.712i | −0.382186 | + | 0.277674i | ||||
\(641\) | −747.420 | + | 242.852i | −1.16602 | + | 0.378864i | −0.827157 | − | 0.561971i | \(-0.810043\pi\) |
−0.338865 | + | 0.940835i | \(0.610043\pi\) | |||||||
\(642\) | 202.938 | + | 1972.13i | 0.316102 | + | 3.07185i | ||||
\(643\) | 687.427 | + | 499.445i | 1.06909 | + | 0.776741i | 0.975749 | − | 0.218893i | \(-0.0702444\pi\) |
0.0933438 | + | 0.995634i | \(0.470244\pi\) | |||||||
\(644\) | 939.629 | − | 1293.29i | 1.45905 | − | 2.00821i | ||||
\(645\) | 98.6519 | − | 10.1516i | 0.152949 | − | 0.0157388i | ||||
\(646\) | −145.508 | − | 447.828i | −0.225245 | − | 0.693233i | ||||
\(647\) | −687.343 | − | 946.046i | −1.06235 | − | 1.46220i | −0.877584 | − | 0.479422i | \(-0.840846\pi\) |
−0.184769 | − | 0.982782i | \(-0.559154\pi\) | |||||||
\(648\) | 1408.13 | − | 135.609i | 2.17305 | − | 0.209274i | ||||
\(649\) | 1234.75 | + | 159.428i | 1.90254 | + | 0.245652i | ||||
\(650\) | 121.825i | 0.187423i | ||||||||
\(651\) | −312.108 | + | 537.879i | −0.479429 | + | 0.826234i | ||||
\(652\) | −443.765 | − | 1365.77i | −0.680622 | − | 2.09474i | ||||
\(653\) | −509.322 | − | 165.489i | −0.779972 | − | 0.253428i | −0.108144 | − | 0.994135i | \(-0.534491\pi\) |
−0.671828 | + | 0.740707i | \(0.734491\pi\) | |||||||
\(654\) | −132.324 | + | 615.937i | −0.202330 | + | 0.941800i | ||||
\(655\) | 259.411 | + | 188.473i | 0.396048 | + | 0.287746i | ||||
\(656\) | −1004.84 | − | 326.492i | −1.53177 | − | 0.497701i | ||||
\(657\) | −612.341 | − | 275.834i | −0.932027 | − | 0.419839i | ||||
\(658\) | 1165.43 | − | 846.732i | 1.77117 | − | 1.28683i | ||||
\(659\) | 138.756i | 0.210555i | 0.994443 | + | 0.105278i | \(0.0335731\pi\) | ||||
−0.994443 | + | 0.105278i | \(0.966427\pi\) | |||||||
\(660\) | −15.7921 | + | 610.404i | −0.0239275 | + | 0.924854i | ||||
\(661\) | 27.1690 | 0.0411029 | 0.0205515 | − | 0.999789i | \(-0.493458\pi\) | ||||
0.0205515 | + | 0.999789i | \(0.493458\pi\) | |||||||
\(662\) | 530.734 | + | 730.493i | 0.801713 | + | 1.10346i | ||||
\(663\) | 45.6460 | − | 40.9202i | 0.0688477 | − | 0.0617197i | ||||
\(664\) | 63.7284 | − | 196.136i | 0.0959765 | − | 0.295385i | ||||
\(665\) | 114.840 | − | 158.064i | 0.172692 | − | 0.237690i | ||||
\(666\) | 47.6413 | + | 229.036i | 0.0715335 | + | 0.343897i | ||||
\(667\) | −72.9572 | + | 224.539i | −0.109381 | + | 0.336640i | ||||
\(668\) | −1342.84 | + | 436.317i | −2.01025 | + | 0.653169i | ||||
\(669\) | −24.8731 | + | 42.8657i | −0.0371796 | + | 0.0640742i | ||||
\(670\) | 470.835 | 0.702738 | ||||||||
\(671\) | 770.526 | + | 365.168i | 1.14832 | + | 0.544214i | ||||
\(672\) | 297.367 | + | 671.831i | 0.442511 | + | 0.999749i | ||||
\(673\) | 531.916 | − | 386.460i | 0.790366 | − | 0.574234i | −0.117706 | − | 0.993048i | \(-0.537554\pi\) |
0.908072 | + | 0.418814i | \(0.137554\pi\) | |||||||
\(674\) | −169.392 | + | 55.0388i | −0.251323 | + | 0.0816599i | ||||
\(675\) | 448.851 | + | 330.611i | 0.664964 | + | 0.489794i | ||||
\(676\) | −1193.13 | − | 866.860i | −1.76499 | − | 1.28234i | ||||
\(677\) | 359.292 | − | 494.523i | 0.530712 | − | 0.730463i | −0.456526 | − | 0.889710i | \(-0.650907\pi\) |
0.987239 | + | 0.159247i | \(0.0509066\pi\) | |||||||
\(678\) | −167.441 | − | 1627.18i | −0.246963 | − | 2.39996i | ||||
\(679\) | −211.349 | − | 650.466i | −0.311265 | − | 0.957976i | ||||
\(680\) | −266.086 | − | 366.236i | −0.391303 | − | 0.538583i | ||||
\(681\) | 137.037 | + | 309.603i | 0.201229 | + | 0.454630i | ||||
\(682\) | −915.303 | − | 118.182i | −1.34209 | − | 0.173288i | ||||
\(683\) | 990.520i | 1.45025i | 0.688618 | + | 0.725124i | \(0.258218\pi\) | ||||
−0.688618 | + | 0.725124i | \(0.741782\pi\) | |||||||
\(684\) | 91.8031 | − | 838.307i | 0.134215 | − | 1.22559i | ||||
\(685\) | −51.9918 | − | 160.014i | −0.0759005 | − | 0.233598i | ||||
\(686\) | 588.032 | + | 191.063i | 0.857189 | + | 0.278518i | ||||
\(687\) | −1081.19 | − | 232.275i | −1.57378 | − | 0.338101i | ||||
\(688\) | 348.363 | + | 253.100i | 0.506341 | + | 0.367879i | ||||
\(689\) | 63.0665 | + | 20.4915i | 0.0915333 | + | 0.0297410i | ||||
\(690\) | −340.024 | + | 304.820i | −0.492788 | + | 0.441768i | ||||
\(691\) | −463.629 | + | 336.846i | −0.670954 | + | 0.487477i | −0.870344 | − | 0.492443i | \(-0.836104\pi\) |
0.199390 | + | 0.979920i | \(0.436104\pi\) | |||||||
\(692\) | − | 340.727i | − | 0.492380i | ||||||
\(693\) | −852.813 | − | 206.424i | −1.23061 | − | 0.297870i | ||||
\(694\) | 1649.35 | 2.37659 | ||||||||
\(695\) | −259.915 | − | 357.742i | −0.373978 | − | 0.514737i | ||||
\(696\) | −405.999 | − | 452.887i | −0.583332 | − | 0.650700i | ||||
\(697\) | −149.251 | + | 459.347i | −0.214133 | + | 0.659035i | ||||
\(698\) | 830.239 | − | 1142.73i | 1.18945 | − | 1.63714i | ||||
\(699\) | 109.982 | − | 511.940i | 0.157342 | − | 0.732389i | ||||
\(700\) | −501.502 | + | 1543.46i | −0.716431 | + | 2.20495i | ||||
\(701\) | −778.940 | + | 253.093i | −1.11118 | + | 0.361046i | −0.806397 | − | 0.591375i | \(-0.798585\pi\) |
−0.304787 | + | 0.952420i | \(0.598585\pi\) | |||||||
\(702\) | 151.831 | − | 48.2385i | 0.216284 | − | 0.0687158i | ||||
\(703\) | 76.5580 | 0.108902 | ||||||||
\(704\) | 72.3862 | − | 76.6608i | 0.102821 | − | 0.108893i | ||||
\(705\) | −259.327 | + | 114.784i | −0.367840 | + | 0.162814i | ||||
\(706\) | −49.1722 | + | 35.7257i | −0.0696490 | + | 0.0506030i | ||||
\(707\) | 107.856 | − | 35.0444i | 0.152554 | − | 0.0495677i | ||||
\(708\) | −2995.45 | + | 308.240i | −4.23086 | + | 0.435367i | ||||
\(709\) | −145.495 | − | 105.708i | −0.205212 | − | 0.149095i | 0.480433 | − | 0.877032i | \(-0.340480\pi\) |
−0.685645 | + | 0.727936i | \(0.740480\pi\) | |||||||
\(710\) | 44.9276 | − | 61.8376i | 0.0632783 | − | 0.0870952i | ||||
\(711\) | −385.471 | − | 674.423i | −0.542154 | − | 0.948556i | ||||
\(712\) | 402.492 | + | 1238.74i | 0.565298 | + | 1.73981i | ||||
\(713\) | −279.589 | − | 384.821i | −0.392130 | − | 0.539721i | ||||
\(714\) | 1083.58 | − | 479.617i | 1.51762 | − | 0.671732i | ||||
\(715\) | 6.97165 | + | 37.0995i | 0.00975056 | + | 0.0518873i | ||||
\(716\) | − | 1207.48i | − | 1.68643i | ||||||
\(717\) | 896.123 | + | 519.983i | 1.24982 | + | 0.725220i | ||||
\(718\) | 84.1241 | + | 258.907i | 0.117165 | + | 0.360595i | ||||
\(719\) | 633.724 | + | 205.910i | 0.881397 | + | 0.286383i | 0.714537 | − | 0.699597i | \(-0.246637\pi\) |
0.166860 | + | 0.985981i | \(0.446637\pi\) | |||||||
\(720\) | −103.925 | − | 499.620i | −0.144340 | − | 0.693917i | ||||
\(721\) | −505.968 | − | 367.607i | −0.701759 | − | 0.509858i | ||||
\(722\) | 850.765 | + | 276.430i | 1.17834 | + | 0.382867i | ||||
\(723\) | 523.556 | + | 584.021i | 0.724144 | + | 0.807774i | ||||
\(724\) | −935.163 | + | 679.436i | −1.29166 | + | 0.938447i | ||||
\(725\) | − | 239.684i | − | 0.330598i | ||||||
\(726\) | −207.314 | − | 1285.57i | −0.285557 | − | 1.77076i | ||||
\(727\) | 162.429 | 0.223424 | 0.111712 | − | 0.993741i | \(-0.464367\pi\) | ||||
0.111712 | + | 0.993741i | \(0.464367\pi\) | |||||||
\(728\) | 149.651 | + | 205.976i | 0.205564 | + | 0.282935i | ||||
\(729\) | 234.314 | − | 690.317i | 0.321418 | − | 0.946937i | ||||
\(730\) | −172.588 | + | 531.172i | −0.236422 | + | 0.727633i | ||||
\(731\) | 115.701 | − | 159.249i | 0.158278 | − | 0.217851i | ||||
\(732\) | −2016.36 | − | 433.182i | −2.75459 | − | 0.591778i | ||||
\(733\) | 361.513 | − | 1112.62i | 0.493196 | − | 1.51790i | −0.326552 | − | 0.945179i | \(-0.605887\pi\) |
0.819749 | − | 0.572723i | \(-0.194113\pi\) | |||||||
\(734\) | 2112.89 | − | 686.520i | 2.87860 | − | 0.935313i | ||||
\(735\) | 159.995 | + | 92.8382i | 0.217680 | + | 0.126310i | ||||
\(736\) | −561.967 | −0.763542 | ||||||||
\(737\) | −680.087 | + | 127.800i | −0.922777 | + | 0.173406i | ||||
\(738\) | −843.919 | + | 929.096i | −1.14352 | + | 1.25894i | ||||
\(739\) | 196.087 | − | 142.465i | 0.265341 | − | 0.192781i | −0.447157 | − | 0.894455i | \(-0.647564\pi\) |
0.712498 | + | 0.701674i | \(0.247564\pi\) | |||||||
\(740\) | 127.511 | − | 41.4309i | 0.172313 | − | 0.0559877i | ||||
\(741\) | −5.33669 | − | 51.8615i | −0.00720202 | − | 0.0699886i | ||||
\(742\) | 1037.01 | + | 753.430i | 1.39759 | + | 1.01540i | ||||
\(743\) | −484.132 | + | 666.351i | −0.651591 | + | 0.896838i | −0.999167 | − | 0.0408136i | \(-0.987005\pi\) |
0.347576 | + | 0.937652i | \(0.387005\pi\) | |||||||
\(744\) | 1218.98 | − | 125.436i | 1.63841 | − | 0.168597i | ||||
\(745\) | −145.922 | − | 449.101i | −0.195868 | − | 0.602820i | ||||
\(746\) | −771.041 | − | 1061.25i | −1.03357 | − | 1.42258i | ||||
\(747\) | −78.6669 | − | 71.4549i | −0.105310 | − | 0.0956559i | ||||
\(748\) | 881.202 | + | 832.066i | 1.17808 | + | 1.11239i | ||||
\(749\) | 1632.75i | 2.17990i | ||||||||
\(750\) | 514.397 | − | 886.497i | 0.685862 | − | 1.18200i | ||||
\(751\) | −1.89680 | − | 5.83775i | −0.00252570 | − | 0.00777330i | 0.949786 | − | 0.312901i | \(-0.101301\pi\) |
−0.952311 | + | 0.305128i | \(0.901301\pi\) | |||||||
\(752\) | −1171.08 | − | 380.507i | −1.55729 | − | 0.505993i | ||||
\(753\) | −124.982 | + | 581.762i | −0.165979 | + | 0.772592i | ||||
\(754\) | −55.4139 | − | 40.2606i | −0.0734933 | − | 0.0533960i | ||||
\(755\) | 541.170 | + | 175.837i | 0.716782 | + | 0.232896i | ||||
\(756\) | 2122.21 | + | 13.8660i | 2.80716 | + | 0.0183413i | ||||
\(757\) | 891.755 | − | 647.898i | 1.17801 | − | 0.855876i | 0.186066 | − | 0.982537i | \(-0.440426\pi\) |
0.991946 | + | 0.126661i | \(0.0404261\pi\) | |||||||
\(758\) | 1470.37i | 1.93980i | ||||||||
\(759\) | 408.401 | − | 532.585i | 0.538078 | − | 0.701693i | ||||
\(760\) | −384.996 | −0.506574 | ||||||||
\(761\) | −705.506 | − | 971.046i | −0.927078 | − | 1.27601i | −0.960989 | − | 0.276588i | \(-0.910796\pi\) |
0.0339108 | − | 0.999425i | \(-0.489204\pi\) | |||||||
\(762\) | 114.383 | − | 102.541i | 0.150109 | − | 0.134568i | ||||
\(763\) | −160.329 | + | 493.442i | −0.210130 | + | 0.646713i | ||||
\(764\) | −1645.05 | + | 2264.22i | −2.15321 | + | 2.96364i | ||||
\(765\) | −228.394 | + | 47.5078i | −0.298554 | + | 0.0621017i | ||||
\(766\) | −58.7094 | + | 180.689i | −0.0766442 | + | 0.235887i | ||||
\(767\) | −177.050 | + | 57.5270i | −0.230834 | + | 0.0750027i | ||||
\(768\) | −724.965 | + | 1249.38i | −0.943965 | + | 1.62680i | ||||
\(769\) | −1038.16 | −1.35001 | −0.675007 | − | 0.737811i | \(-0.735859\pi\) | ||||
−0.675007 | + | 0.737811i | \(0.735859\pi\) | |||||||
\(770\) | −93.4400 | + | 723.678i | −0.121351 | + | 0.939841i | ||||
\(771\) | −2.26479 | − | 5.11676i | −0.00293747 | − | 0.00663652i | ||||
\(772\) | 1050.46 | − | 763.205i | 1.36070 | − | 0.988608i | ||||
\(773\) | −557.520 | + | 181.149i | −0.721242 | + | 0.234346i | −0.646562 | − | 0.762862i | \(-0.723794\pi\) |
−0.0746805 | + | 0.997208i | \(0.523794\pi\) | |||||||
\(774\) | 444.119 | − | 253.839i | 0.573797 | − | 0.327958i | ||||
\(775\) | 390.671 | + | 283.839i | 0.504092 | + | 0.366244i | ||||
\(776\) | −792.170 | + | 1090.33i | −1.02084 | + | 1.40506i | ||||
\(777\) | 19.7214 | + | 191.650i | 0.0253814 | + | 0.246654i | ||||
\(778\) | −100.506 | − | 309.326i | −0.129185 | − | 0.397591i | ||||
\(779\) | 241.438 | + | 332.311i | 0.309934 | + | 0.426587i | ||||
\(780\) | −36.9545 | − | 83.4899i | −0.0473775 | − | 0.107038i | ||||
\(781\) | −48.1099 | + | 101.515i | −0.0616004 | + | 0.129981i | ||||
\(782\) | 906.383i | 1.15906i | ||||||||
\(783\) | −298.720 | + | 94.9067i | −0.381507 | + | 0.121209i | ||||
\(784\) | 248.191 | + | 763.854i | 0.316570 | + | 0.974303i | ||||
\(785\) | 12.0233 | + | 3.90662i | 0.0153164 | + | 0.00497659i | ||||
\(786\) | 1617.05 | + | 347.397i | 2.05731 | + | 0.441981i | ||||
\(787\) | −302.139 | − | 219.517i | −0.383912 | − | 0.278928i | 0.379044 | − | 0.925379i | \(-0.376253\pi\) |
−0.762956 | + | 0.646450i | \(0.776253\pi\) | |||||||
\(788\) | 1935.36 | + | 628.838i | 2.45605 | + | 0.798018i | ||||
\(789\) | 60.5138 | − | 54.2487i | 0.0766969 | − | 0.0687563i | ||||
\(790\) | −522.626 | + | 379.710i | −0.661552 | + | 0.480646i | ||||
\(791\) | − | 1347.16i | − | 1.70311i | ||||||
\(792\) | 658.687 | + | 1598.63i | 0.831675 | + | 2.01847i | ||||
\(793\) | −127.499 | −0.160780 | ||||||||
\(794\) | −707.983 | − | 974.454i | −0.891666 | − | 1.22727i | ||||
\(795\) | −168.443 | − | 187.896i | −0.211878 | − | 0.236348i | ||||
\(796\) | 1067.05 | − | 3284.04i | 1.34051 | − | 4.12567i | ||||
\(797\) | 491.864 | − | 676.992i | 0.617144 | − | 0.849426i | −0.379997 | − | 0.924988i | \(-0.624075\pi\) |
0.997141 | + | 0.0755619i | \(0.0240751\pi\) | |||||||
\(798\) | 211.675 | − | 985.297i | 0.265257 | − | 1.23471i | ||||
\(799\) | −173.943 | + | 535.341i | −0.217701 | + | 0.670014i | ||||
\(800\) | 542.587 | − | 176.297i | 0.678234 | − | 0.220372i | ||||
\(801\) | 667.215 | + | 73.0668i | 0.832977 | + | 0.0912195i | ||||
\(802\) | 67.8754 | 0.0846326 | ||||||||
\(803\) | 105.113 | − | 814.086i | 0.130901 | − | 1.01381i | ||||
\(804\) | 1530.49 | − | 677.429i | 1.90360 | − | 0.842573i | ||||
\(805\) | −304.256 | + | 221.055i | −0.377958 | + | 0.274603i | ||||
\(806\) | 131.245 | − | 42.6441i | 0.162835 | − | 0.0529083i | ||||
\(807\) | 426.292 | − | 43.8667i | 0.528243 | − | 0.0543577i | ||||
\(808\) | −180.790 | − | 131.352i | −0.223750 | − | 0.162564i | ||||
\(809\) | 304.962 | − | 419.745i | 0.376962 | − | 0.518844i | −0.577814 | − | 0.816168i | \(-0.696094\pi\) |
0.954777 | + | 0.297324i | \(0.0960942\pi\) | |||||||
\(810\) | −591.874 | − | 131.206i | −0.730708 | − | 0.161983i | ||||
\(811\) | 241.858 | + | 744.364i | 0.298222 | + | 0.917834i | 0.982120 | + | 0.188256i | \(0.0602836\pi\) |
−0.683897 | + | 0.729578i | \(0.739716\pi\) | |||||||
\(812\) | −536.334 | − | 738.200i | −0.660510 | − | 0.909113i | ||||
\(813\) | 288.943 | − | 127.892i | 0.355403 | − | 0.157309i | ||||
\(814\) | −250.934 | + | 137.057i | −0.308273 | + | 0.168375i | ||||
\(815\) | 337.843i | 0.414531i | ||||||||
\(816\) | −876.087 | − | 508.356i | −1.07364 | − | 0.622986i | ||||
\(817\) | −51.7314 | − | 159.213i | −0.0633187 | − | 0.194875i | ||||
\(818\) | 406.889 | + | 132.206i | 0.497419 | + | 0.161621i | ||||
\(819\) | 128.452 | − | 26.7191i | 0.156840 | − | 0.0326240i | ||||
\(820\) | 581.965 | + | 422.822i | 0.709714 | + | 0.515637i | ||||
\(821\) | 524.622 | + | 170.460i | 0.639004 | + | 0.207625i | 0.610560 | − | 0.791970i | \(-0.290945\pi\) |
0.0284445 | + | 0.999595i | \(0.490945\pi\) | |||||||
\(822\) | −579.296 | − | 646.198i | −0.704740 | − | 0.786129i | ||||
\(823\) | 37.3544 | − | 27.1396i | 0.0453881 | − | 0.0329764i | −0.564860 | − | 0.825187i | \(-0.691070\pi\) |
0.610248 | + | 0.792210i | \(0.291070\pi\) | |||||||
\(824\) | 1232.39i | 1.49562i | ||||||||
\(825\) | −227.237 | + | 642.340i | −0.275439 | + | 0.778594i | ||||
\(826\) | −3598.50 | −4.35654 | ||||||||
\(827\) | 350.444 | + | 482.345i | 0.423753 | + | 0.583247i | 0.966505 | − | 0.256646i | \(-0.0826176\pi\) |
−0.542752 | + | 0.839893i | \(0.682618\pi\) | |||||||
\(828\) | −666.708 | + | 1480.07i | −0.805203 | + | 1.78752i | ||||
\(829\) | −428.629 | + | 1319.18i | −0.517043 | + | 1.59129i | 0.262491 | + | 0.964935i | \(0.415456\pi\) |
−0.779534 | + | 0.626360i | \(0.784544\pi\) | |||||||
\(830\) | −51.9477 | + | 71.4999i | −0.0625876 | + | 0.0861445i | ||||
\(831\) | 718.368 | + | 154.330i | 0.864462 | + | 0.185716i | ||||
\(832\) | −4.87182 | + | 14.9939i | −0.00585555 | + | 0.0180215i | ||||
\(833\) | 349.184 | − | 113.457i | 0.419189 | − | 0.136203i | ||||
\(834\) | −1972.81 | − | 1144.74i | −2.36548 | − | 1.37259i | ||||
\(835\) | 332.172 | 0.397811 | ||||||||
\(836\) | 1012.99 | − | 190.359i | 1.21171 | − | 0.227702i | ||||
\(837\) | 199.059 | − | 599.288i | 0.237824 | − | 0.715995i | ||||
\(838\) | −1198.23 | + | 870.565i | −1.42987 | + | 1.03886i | ||||
\(839\) | −1583.51 | + | 514.515i | −1.88738 | + | 0.613247i | −0.905305 | + | 0.424761i | \(0.860358\pi\) |
−0.982076 | + | 0.188486i | \(0.939642\pi\) | |||||||
\(840\) | −99.1751 | − | 963.775i | −0.118066 | − | 1.14735i | ||||
\(841\) | −571.359 | − | 415.117i | −0.679381 | − | 0.493599i | ||||
\(842\) | −1275.55 | + | 1755.64i | −1.51490 | + | 2.08509i | ||||
\(843\) | −194.308 | + | 19.9949i | −0.230496 | + | 0.0237187i | ||||
\(844\) | −559.039 | − | 1720.55i | −0.662369 | − | 2.03856i | ||||
\(845\) | 203.936 | + | 280.693i | 0.241344 | + | 0.332181i | ||||
\(846\) | −983.537 | + | 1082.81i | −1.16257 | + | 1.27991i | ||||
\(847\) | −61.4633 | − | 1070.66i | −0.0725658 | − | 1.26407i | ||||
\(848\) | − | 1095.66i | − | 1.29206i | ||||||
\(849\) | −237.255 | + | 408.878i | −0.279452 | + | 0.481600i | ||||
\(850\) | −284.346 | − | 875.127i | −0.334525 | − | 1.02956i | ||||
\(851\) | −140.153 | − | 45.5386i | −0.164693 | − | 0.0535119i | ||||
\(852\) | 57.0706 | − | 265.650i | 0.0669843 | − | 0.311796i | ||||
\(853\) | 657.366 | + | 477.604i | 0.770652 | + | 0.559911i | 0.902159 | − | 0.431404i | \(-0.141982\pi\) |
−0.131507 | + | 0.991315i | \(0.541982\pi\) | |||||||
\(854\) | −2343.93 | − | 761.589i | −2.74465 | − | 0.891791i | ||||
\(855\) | −81.4841 | + | 180.892i | −0.0953031 | + | 0.211569i | ||||
\(856\) | 2602.90 | − | 1891.12i | 3.04078 | − | 2.20925i | ||||
\(857\) | − | 551.421i | − | 0.643431i | −0.946836 | − | 0.321716i | \(-0.895740\pi\) | ||
0.946836 | − | 0.321716i | \(-0.104260\pi\) | |||||||
\(858\) | 110.337 | + | 160.433i | 0.128597 | + | 0.186985i | ||||
\(859\) | −1196.04 | −1.39236 | −0.696180 | − | 0.717868i | \(-0.745118\pi\) | ||||
−0.696180 | + | 0.717868i | \(0.745118\pi\) | |||||||
\(860\) | −172.323 | − | 237.182i | −0.200375 | − | 0.275793i | ||||
\(861\) | −769.693 | + | 690.005i | −0.893952 | + | 0.801400i | ||||
\(862\) | 491.544 | − | 1512.82i | 0.570237 | − | 1.75501i | ||||
\(863\) | 421.079 | − | 579.565i | 0.487924 | − | 0.671570i | −0.492079 | − | 0.870550i | \(-0.663763\pi\) |
0.980003 | + | 0.198980i | \(0.0637630\pi\) | |||||||
\(864\) | −434.567 | − | 606.423i | −0.502971 | − | 0.701879i | ||||
\(865\) | −24.7704 | + | 76.2355i | −0.0286363 | + | 0.0881335i | ||||
\(866\) | 747.094 | − | 242.745i | 0.862695 | − | 0.280307i | ||||
\(867\) | 202.747 | − | 349.408i | 0.233848 | − | 0.403008i | ||||
\(868\) | 1838.37 | 2.11793 | ||||||||
\(869\) | 651.830 | − | 690.323i | 0.750092 | − | 0.794387i | ||||
\(870\) | 105.499 | + | 238.350i | 0.121263 | + | 0.273965i | ||||
\(871\) | 83.7104 | − | 60.8192i | 0.0961084 | − | 0.0698269i | ||||
\(872\) | 972.339 | − | 315.932i | 1.11507 | − | 0.362308i | ||||
\(873\) | 344.632 | + | 602.970i | 0.394767 | + | 0.690688i | ||||
\(874\) | 623.624 | + | 453.089i | 0.713528 | + | 0.518409i | ||||
\(875\) | 496.145 | − | 682.885i | 0.567023 | − | 0.780440i | ||||
\(876\) | 203.227 | + | 1974.94i | 0.231994 | + | 2.25450i | ||||
\(877\) | 306.432 | + | 943.101i | 0.349410 | + | 1.07537i | 0.959181 | + | 0.282794i | \(0.0912614\pi\) |
−0.609771 | + | 0.792578i | \(0.708739\pi\) | |||||||
\(878\) | 361.913 | + | 498.131i | 0.412202 | + | 0.567348i | ||||
\(879\) | −223.431 | − | 504.790i | −0.254188 | − | 0.574278i | ||||
\(880\) | 547.391 | − | 298.977i | 0.622035 | − | 0.339747i | ||||
\(881\) | 1256.55i | 1.42628i | 0.701021 | + | 0.713140i | \(0.252728\pi\) | ||||
−0.701021 | + | 0.713140i | \(0.747272\pi\) | |||||||
\(882\) | 948.469 | + | 103.867i | 1.07536 | + | 0.117763i | ||||
\(883\) | 86.0075 | + | 264.704i | 0.0974037 | + | 0.299778i | 0.987873 | − | 0.155266i | \(-0.0496235\pi\) |
−0.890469 | + | 0.455044i | \(0.849624\pi\) | |||||||
\(884\) | −172.352 | − | 56.0006i | −0.194968 | − | 0.0633491i | ||||
\(885\) | 692.620 | + | 148.798i | 0.782622 | + | 0.168134i | ||||
\(886\) | 1719.65 | + | 1249.40i | 1.94091 | + | 1.41015i | ||||
\(887\) | −1116.54 | − | 362.787i | −1.25879 | − | 0.409005i | −0.397725 | − | 0.917505i | \(-0.630200\pi\) |
−0.861062 | + | 0.508500i | \(0.830200\pi\) | |||||||
\(888\) | 282.684 | − | 253.418i | 0.318338 | − | 0.285380i | ||||
\(889\) | 102.351 | − | 74.3626i | 0.115131 | − | 0.0836475i | ||||
\(890\) | − | 558.178i | − | 0.627166i | ||||||
\(891\) | 890.532 | + | 28.8630i | 0.999475 | + | 0.0323939i | ||||
\(892\) | 146.507 | 0.164245 | ||||||||
\(893\) | 281.382 | + | 387.289i | 0.315097 | + | 0.433694i | ||||
\(894\) | −1625.87 | − | 1813.64i | −1.81864 | − | 2.02868i | ||||
\(895\) | −87.7825 | + | 270.167i | −0.0980810 | + | 0.301862i | ||||
\(896\) | −754.921 | + | 1039.06i | −0.842546 | + | 1.15966i | ||||
\(897\) | −21.0787 | + | 98.1164i | −0.0234991 | + | 0.109383i | ||||
\(898\) | 483.460 | − | 1487.94i | 0.538374 | − | 1.65695i | ||||
\(899\) | −258.218 | + | 83.9001i | −0.287228 | + | 0.0933260i | ||||
\(900\) | 179.398 | − | 1638.18i | 0.199331 | − | 1.82020i | ||||
\(901\) | −500.866 | −0.555900 | ||||||||
\(902\) | −1386.28 | − | 656.986i | −1.53690 | − | 0.728366i | ||||
\(903\) | 385.237 | − | 170.514i | 0.426619 | − | 0.188831i | ||||
\(904\) | −2147.62 | + | 1560.34i | −2.37568 | + | 1.72604i | ||||
\(905\) | 258.631 | − | 84.0342i | 0.285780 | − | 0.0928555i | ||||
\(906\) | 2919.64 | − | 300.439i | 3.22256 | − | 0.331611i | ||||
\(907\) | −117.806 | − | 85.5912i | −0.129885 | − | 0.0943673i | 0.520946 | − | 0.853590i | \(-0.325579\pi\) |
−0.650831 | + | 0.759223i | \(0.725579\pi\) | |||||||
\(908\) | 588.308 | − | 809.736i | 0.647916 | − | 0.891780i | ||||
\(909\) | −99.9802 | + | 57.1444i | −0.109989 | + | 0.0628651i | ||||
\(910\) | −33.7163 | − | 103.768i | −0.0370509 | − | 0.114031i | ||||
\(911\) | 632.867 | + | 871.067i | 0.694695 | + | 0.956166i | 0.999992 | + | 0.00390866i | \(0.00124417\pi\) |
−0.305297 | + | 0.952257i | \(0.598756\pi\) | |||||||
\(912\) | −787.712 | + | 348.658i | −0.863719 | + | 0.382301i | ||||
\(913\) | 55.6273 | − | 117.377i | 0.0609280 | − | 0.128562i | ||||
\(914\) | − | 855.714i | − | 0.936230i | ||||||
\(915\) | 419.655 | + | 243.508i | 0.458639 | + | 0.266129i | ||||
\(916\) | 1010.21 | + | 3109.11i | 1.10285 | + | 3.39422i | ||||
\(917\) | 1295.46 | + | 420.920i | 1.41271 | + | 0.459018i | ||||
\(918\) | −978.087 | + | 700.904i | −1.06545 | + | 0.763512i | ||||
\(919\) | −255.740 | − | 185.806i | −0.278280 | − | 0.202183i | 0.439887 | − | 0.898053i | \(-0.355019\pi\) |
−0.718167 | + | 0.695871i | \(0.755019\pi\) | |||||||
\(920\) | 704.806 | + | 229.005i | 0.766093 | + | 0.248919i | ||||
\(921\) | −774.323 | − | 863.749i | −0.840742 | − | 0.937838i | ||||
\(922\) | −2063.95 | + | 1499.55i | −2.23855 | + | 1.62640i | ||||
\(923\) | − | 16.7976i | − | 0.0181990i | ||||||
\(924\) | 737.480 | + | 2486.82i | 0.798138 | + | 2.69137i | ||||
\(925\) | 149.606 | 0.161737 | ||||||||
\(926\) | −973.067 | − | 1339.31i | −1.05083 | − | 1.44634i | ||||
\(927\) | 579.041 | + | 260.834i | 0.624639 | + | 0.281374i | ||||
\(928\) | −99.1224 | + | 305.067i | −0.106813 | + | 0.328736i | ||||
\(929\) | −657.526 | + | 905.007i | −0.707778 | + | 0.974173i | 0.292064 | + | 0.956399i | \(0.405658\pi\) |
−0.999842 | + | 0.0177741i | \(0.994342\pi\) | |||||||
\(930\) | −513.431 | − | 110.302i | −0.552077 | − | 0.118605i | ||||
\(931\) | 96.4904 | − | 296.967i | 0.103642 | − | 0.318976i | ||||
\(932\) | −1472.16 | + | 478.333i | −1.57957 | + | 0.513233i | ||||
\(933\) | −239.350 | − | 138.885i | −0.256538 | − | 0.148858i | ||||
\(934\) | 173.568 | 0.185833 | ||||||||
\(935\) | −136.673 | − | 250.231i | −0.146174 | − | 0.267627i | ||||
\(936\) | −191.374 | − | 173.829i | −0.204459 | − | 0.185715i | ||||
\(937\) | −850.451 | + | 617.889i | −0.907632 | + | 0.659433i | −0.940415 | − | 0.340029i | \(-0.889563\pi\) |
0.0327830 | + | 0.999462i | \(0.489563\pi\) | |||||||
\(938\) | 1902.22 | − | 618.068i | 2.02795 | − | 0.658922i | ||||
\(939\) | −22.8466 | − | 222.021i | −0.0243307 | − | 0.236444i | ||||
\(940\) | 678.245 | + | 492.774i | 0.721538 | + | 0.524228i | ||||
\(941\) | −188.418 | + | 259.335i | −0.200231 | + | 0.275595i | −0.897311 | − | 0.441399i | \(-0.854482\pi\) |
0.697080 | + | 0.716994i | \(0.254482\pi\) | |||||||
\(942\) | 64.8666 | − | 6.67496i | 0.0688605 | − | 0.00708594i | ||||
\(943\) | −244.330 | − | 751.970i | −0.259099 | − | 0.797423i | ||||
\(944\) | 1807.98 | + | 2488.47i | 1.91523 | + | 2.63609i | ||||
\(945\) | −473.823 | − | 157.384i | −0.501400 | − | 0.166544i | ||||
\(946\) | 454.589 | + | 429.241i | 0.480538 | + | 0.453743i | ||||
\(947\) | − | 689.980i | − | 0.728596i | −0.931283 | − | 0.364298i | \(-0.881309\pi\) | ||
0.931283 | − | 0.364298i | \(-0.118691\pi\) | |||||||
\(948\) | −1152.52 | + | 1986.23i | −1.21574 | + | 2.09518i | ||||
\(949\) | 37.9284 | + | 116.732i | 0.0399667 | + | 0.123005i | ||||
\(950\) | −744.259 | − | 241.824i | −0.783430 | − | 0.254552i | ||||
\(951\) | 330.046 | − | 1536.28i | 0.347052 | − | 1.61544i | ||||
\(952\) | −1555.78 | − | 1130.34i | −1.63422 | − | 1.18733i | ||||
\(953\) | 1276.39 | + | 414.726i | 1.33934 | + | 0.435179i | 0.889094 | − | 0.457724i | \(-0.151335\pi\) |
0.450249 | + | 0.892903i | \(0.351335\pi\) | |||||||
\(954\) | −1186.77 | − | 534.592i | −1.24400 | − | 0.560369i | ||||
\(955\) | 532.676 | − | 387.012i | 0.557776 | − | 0.405248i | ||||
\(956\) | − | 3062.78i | − | 3.20374i | ||||||
\(957\) | −217.081 | − | 315.643i | −0.226835 | − | 0.329826i | ||||
\(958\) | −614.947 | −0.641907 | ||||||||
\(959\) | −420.104 | − | 578.224i | −0.438065 | − | 0.602945i | ||||
\(960\) | 44.6719 | − | 40.0470i | 0.0465333 | − | 0.0417156i | ||||
\(961\) | −127.930 | + | 393.727i | −0.133122 | + | 0.409706i | ||||
\(962\) | 25.1299 | − | 34.5884i | 0.0261226 | − | 0.0359547i | ||||
\(963\) | −337.646 | − | 1623.24i | −0.350619 | − | 1.68560i | ||||
\(964\) | 716.504 | − | 2205.17i | 0.743261 | − | 2.28752i | ||||
\(965\) | −290.518 | + | 94.3950i | −0.301055 | + | 0.0978187i | ||||
\(966\) | −973.589 | + | 1677.86i | −1.00786 | + | 1.73691i | ||||
\(967\) | 1283.30 | 1.32709 | 0.663546 | − | 0.748135i | \(-0.269051\pi\) | ||||
0.663546 | + | 0.748135i | \(0.269051\pi\) | |||||||
\(968\) | −1635.65 | + | 1338.07i | −1.68972 | + | 1.38231i | ||||
\(969\) | 159.384 | + | 360.091i | 0.164483 | + | 0.371611i | ||||
\(970\) | 467.256 | − | 339.481i | 0.481707 | − | 0.349981i | ||||
\(971\) | 809.179 | − | 262.918i | 0.833346 | − | 0.270770i | 0.138892 | − | 0.990308i | \(-0.455646\pi\) |
0.694454 | + | 0.719537i | \(0.255646\pi\) | |||||||
\(972\) | −2112.72 | + | 425.081i | −2.17358 | + | 0.437326i | ||||
\(973\) | −1519.69 | − | 1104.12i | −1.56186 | − | 1.13476i | ||||
\(974\) | 1044.78 | − | 1438.02i | 1.07267 | − | 1.47640i | ||||
\(975\) | −10.4287 | − | 101.346i | −0.0106961 | − | 0.103944i | ||||
\(976\) | 650.988 | + | 2003.54i | 0.666996 | + | 2.05280i | ||||
\(977\) | 712.767 | + | 981.039i | 0.729546 | + | 1.00413i | 0.999152 | + | 0.0411637i | \(0.0131065\pi\) |
−0.269606 | + | 0.962971i | \(0.586893\pi\) | |||||||
\(978\) | 705.322 | + | 1593.51i | 0.721188 | + | 1.62936i | ||||
\(979\) | 151.508 | + | 806.248i | 0.154758 | + | 0.823542i | ||||
\(980\) | − | 546.831i | − | 0.557991i | ||||||
\(981\) | 57.3530 | − | 523.723i | 0.0584639 | − | 0.533867i | ||||
\(982\) | 366.090 | + | 1126.71i | 0.372801 | + | 1.14736i | ||||
\(983\) | −432.404 | − | 140.496i | −0.439882 | − | 0.142926i | 0.0806993 | − | 0.996738i | \(-0.474285\pi\) |
−0.520581 | + | 0.853812i | \(0.674285\pi\) | |||||||
\(984\) | 1991.49 | + | 427.839i | 2.02387 | + | 0.434796i | ||||
\(985\) | −387.310 | − | 281.397i | −0.393208 | − | 0.285682i | ||||
\(986\) | 492.036 | + | 159.872i | 0.499022 | + | 0.162142i | ||||
\(987\) | −897.030 | + | 804.159i | −0.908845 | + | 0.814751i | ||||
\(988\) | −124.687 | + | 90.5904i | −0.126201 | + | 0.0916907i | ||||
\(989\) | 322.239i | 0.325823i | ||||||||
\(990\) | −56.7584 | − | 738.785i | −0.0573317 | − | 0.746248i | ||||
\(991\) | 697.554 | 0.703889 | 0.351945 | − | 0.936021i | \(-0.385521\pi\) | ||||
0.351945 | + | 0.936021i | \(0.385521\pi\) | |||||||
\(992\) | −379.860 | − | 522.832i | −0.382923 | − | 0.527049i | ||||
\(993\) | −504.049 | − | 562.261i | −0.507602 | − | 0.566225i | ||||
\(994\) | 100.337 | − | 308.807i | 0.100943 | − | 0.310671i | ||||
\(995\) | −477.490 | + | 657.209i | −0.479890 | + | 0.660512i | ||||
\(996\) | −65.9881 | + | 307.159i | −0.0662531 | + | 0.308392i | ||||
\(997\) | 202.089 | − | 621.967i | 0.202697 | − | 0.623839i | −0.797103 | − | 0.603844i | \(-0.793635\pi\) |
0.999800 | − | 0.0199948i | \(-0.00636496\pi\) | |||||||
\(998\) | 374.607 | − | 121.717i | 0.375358 | − | 0.121961i | ||||
\(999\) | −59.2391 | − | 186.456i | −0.0592984 | − | 0.186642i |
(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 | 33.3.h.b.14.4 | yes | 16 | |
3.2 | odd | 2 | inner | 33.3.h.b.14.1 | ✓ | 16 | |
11.2 | odd | 10 | 363.3.b.l.122.8 | 8 | |||
11.3 | even | 5 | 363.3.h.o.269.4 | 16 | |||
11.4 | even | 5 | inner | 33.3.h.b.26.1 | yes | 16 | |
11.5 | even | 5 | 363.3.h.o.251.1 | 16 | |||
11.6 | odd | 10 | 363.3.h.n.251.4 | 16 | |||
11.7 | odd | 10 | 363.3.h.j.323.4 | 16 | |||
11.8 | odd | 10 | 363.3.h.n.269.1 | 16 | |||
11.9 | even | 5 | 363.3.b.m.122.1 | 8 | |||
11.10 | odd | 2 | 363.3.h.j.245.1 | 16 | |||
33.2 | even | 10 | 363.3.b.l.122.1 | 8 | |||
33.5 | odd | 10 | 363.3.h.o.251.4 | 16 | |||
33.8 | even | 10 | 363.3.h.n.269.4 | 16 | |||
33.14 | odd | 10 | 363.3.h.o.269.1 | 16 | |||
33.17 | even | 10 | 363.3.h.n.251.1 | 16 | |||
33.20 | odd | 10 | 363.3.b.m.122.8 | 8 | |||
33.26 | odd | 10 | inner | 33.3.h.b.26.4 | yes | 16 | |
33.29 | even | 10 | 363.3.h.j.323.1 | 16 | |||
33.32 | even | 2 | 363.3.h.j.245.4 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.3.h.b.14.1 | ✓ | 16 | 3.2 | odd | 2 | inner | |
33.3.h.b.14.4 | yes | 16 | 1.1 | even | 1 | trivial | |
33.3.h.b.26.1 | yes | 16 | 11.4 | even | 5 | inner | |
33.3.h.b.26.4 | yes | 16 | 33.26 | odd | 10 | inner | |
363.3.b.l.122.1 | 8 | 33.2 | even | 10 | |||
363.3.b.l.122.8 | 8 | 11.2 | odd | 10 | |||
363.3.b.m.122.1 | 8 | 11.9 | even | 5 | |||
363.3.b.m.122.8 | 8 | 33.20 | odd | 10 | |||
363.3.h.j.245.1 | 16 | 11.10 | odd | 2 | |||
363.3.h.j.245.4 | 16 | 33.32 | even | 2 | |||
363.3.h.j.323.1 | 16 | 33.29 | even | 10 | |||
363.3.h.j.323.4 | 16 | 11.7 | odd | 10 | |||
363.3.h.n.251.1 | 16 | 33.17 | even | 10 | |||
363.3.h.n.251.4 | 16 | 11.6 | odd | 10 | |||
363.3.h.n.269.1 | 16 | 11.8 | odd | 10 | |||
363.3.h.n.269.4 | 16 | 33.8 | even | 10 | |||
363.3.h.o.251.1 | 16 | 11.5 | even | 5 | |||
363.3.h.o.251.4 | 16 | 33.5 | odd | 10 | |||
363.3.h.o.269.1 | 16 | 33.14 | odd | 10 | |||
363.3.h.o.269.4 | 16 | 11.3 | even | 5 |