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 | 26.1 | ||
Root | \(-2.10855 + 2.90217i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.26 |
Dual form | 33.3.h.b.14.1 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(-1\) |
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 | −0.169229 | + | 0.985577i | \(0.554128\pi\) |
−0.885045 | + | 0.465506i | \(0.845872\pi\) | |||||||
\(3\) | 0.307087 | + | 2.98424i | 0.102362 | + | 0.994747i | ||||
\(4\) | −2.74053 | − | 8.43448i | −0.685132 | − | 2.10862i | ||||
\(5\) | −1.22635 | − | 1.68793i | −0.245270 | − | 0.337586i | 0.668578 | − | 0.743642i | \(-0.266903\pi\) |
−0.913848 | + | 0.406057i | \(0.866903\pi\) | |||||||
\(6\) | −9.30827 | − | 5.40120i | −1.55138 | − | 0.900200i | ||||
\(7\) | 2.73883 | + | 8.42924i | 0.391261 | + | 1.20418i | 0.931836 | + | 0.362881i | \(0.118207\pi\) |
−0.540575 | + | 0.841296i | \(0.681793\pi\) | |||||||
\(8\) | 16.6100 | + | 5.39692i | 2.07625 | + | 0.674615i | ||||
\(9\) | −8.81140 | + | 1.83284i | −0.979044 | + | 0.203649i | ||||
\(10\) | 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 | 0.637788 | − | 0.770212i | \(-0.279850\pi\) |
−0.535428 | + | 0.844581i | \(0.679850\pi\) | |||||||
\(14\) | −30.2380 | − | 9.82492i | −2.15986 | − | 0.701780i | ||||
\(15\) | 4.66059 | − | 4.17807i | 0.310706 | − | 0.278538i | ||||
\(16\) | −21.9865 | + | 15.9742i | −1.37416 | + | 0.998385i | ||||
\(17\) | 7.30235 | + | 10.0508i | 0.429550 | + | 0.591225i | 0.967850 | − | 0.251529i | \(-0.0809333\pi\) |
−0.538300 | + | 0.842753i | \(0.680933\pi\) | |||||||
\(18\) | 13.2600 | − | 29.4368i | 0.736668 | − | 1.63538i | ||||
\(19\) | 3.26497 | − | 10.0485i | 0.171841 | − | 0.528871i | −0.827635 | − | 0.561267i | \(-0.810314\pi\) |
0.999475 | + | 0.0323966i | \(0.0103140\pi\) | |||||||
\(20\) | −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 | \(-0.145775\pi\) | |||||||
\(24\) | −11.0050 | + | 51.2256i | −0.458541 | + | 2.13440i | ||||
\(25\) | 6.38026 | − | 19.6364i | 0.255210 | − | 0.785457i | ||||
\(26\) | −5.61158 | + | 1.82331i | −0.215830 | + | 0.0701275i | ||||
\(27\) | −8.17551 | − | 25.7325i | −0.302797 | − | 0.953055i | ||||
\(28\) | 63.5904 | − | 46.2012i | 2.27109 | − | 1.65004i | ||||
\(29\) | 11.0405 | − | 3.58727i | 0.380707 | − | 0.123699i | −0.112411 | − | 0.993662i | \(-0.535857\pi\) |
0.493118 | + | 0.869963i | \(0.335857\pi\) | |||||||
\(30\) | 2.29838 | + | 22.3355i | 0.0766127 | + | 0.744515i | ||||
\(31\) | 18.9215 | + | 13.7473i | 0.610371 | + | 0.443460i | 0.849545 | − | 0.527516i | \(-0.176877\pi\) |
−0.239174 | + | 0.970977i | \(0.576877\pi\) | |||||||
\(32\) | − | 27.6317i | − | 0.863489i | ||||||
\(33\) | −2.74275 | + | 32.8858i | −0.0831137 | + | 0.996540i | ||||
\(34\) | −44.5665 | −1.31078 | ||||||||
\(35\) | 10.8692 | − | 14.9601i | 0.310548 | − | 0.427433i | ||||
\(36\) | 39.6070 | + | 69.2966i | 1.10019 | + | 1.92491i | ||||
\(37\) | 2.23911 | + | 6.89128i | 0.0605166 | + | 0.186251i | 0.976745 | − | 0.214407i | \(-0.0687817\pi\) |
−0.916228 | + | 0.400657i | \(0.868782\pi\) | |||||||
\(38\) | 22.2782 | + | 30.6633i | 0.586269 | + | 0.806929i | ||||
\(39\) | −2.47651 | + | 4.26795i | −0.0635002 | + | 0.109434i | ||||
\(40\) | −11.2601 | − | 34.6550i | −0.281502 | − | 0.866375i | ||||
\(41\) | −36.9741 | − | 12.0136i | −0.901806 | − | 0.293015i | −0.178824 | − | 0.983881i | \(-0.557229\pi\) |
−0.722982 | + | 0.690866i | \(0.757229\pi\) | |||||||
\(42\) | 20.0342 | − | 93.2546i | 0.477006 | − | 2.22035i | ||||
\(43\) | −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 | \(-0.560092\pi\) |
−0.729166 | + | 0.684337i | \(0.760092\pi\) | |||||||
\(48\) | −54.4225 | − | 60.7077i | −1.13380 | − | 1.26474i | ||||
\(49\) | −23.9091 | + | 17.3709i | −0.487940 | + | 0.354509i | ||||
\(50\) | 43.5351 | + | 59.9209i | 0.870702 | + | 1.19842i | ||||
\(51\) | −27.7516 | + | 24.8784i | −0.544149 | + | 0.487813i | ||||
\(52\) | 4.50764 | − | 13.8731i | 0.0866853 | − | 0.266790i | ||||
\(53\) | −23.6972 | + | 32.6164i | −0.447116 | + | 0.615403i | −0.971775 | − | 0.235910i | \(-0.924193\pi\) |
0.524658 | + | 0.851313i | \(0.324193\pi\) | |||||||
\(54\) | 91.9184 | + | 30.5315i | 1.70219 | + | 0.565398i | ||||
\(55\) | −9.82872 | − | 20.7392i | −0.178704 | − | 0.377076i | ||||
\(56\) | 154.791i | 2.76412i | ||||||||
\(57\) | 30.9899 | + | 6.65768i | 0.543683 | + | 0.116801i | ||||
\(58\) | −12.8685 | + | 39.6053i | −0.221871 | + | 0.682850i | ||||
\(59\) | 107.642 | − | 34.9750i | 1.82444 | − | 0.592797i | 0.824816 | − | 0.565402i | \(-0.191279\pi\) |
0.999625 | − | 0.0273946i | \(-0.00872108\pi\) | |||||||
\(60\) | −48.0123 | − | 27.8595i | −0.800206 | − | 0.464326i | ||||
\(61\) | −62.7118 | + | 45.5628i | −1.02806 | + | 0.746931i | −0.967920 | − | 0.251259i | \(-0.919156\pi\) |
−0.0601426 | + | 0.998190i | \(0.519156\pi\) | |||||||
\(62\) | −79.7937 | + | 25.9266i | −1.28700 | + | 0.418170i | ||||
\(63\) | −39.5823 | − | 69.2535i | −0.628291 | − | 1.09926i | ||||
\(64\) | −7.75446 | − | 5.63395i | −0.121163 | − | 0.0880304i | ||||
\(65\) | − | 3.43171i | − | 0.0527956i | ||||||
\(66\) | −89.6569 | − | 77.3012i | −1.35844 | − | 1.17123i | ||||
\(67\) | 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 | ||||
\(69\) | 60.6928 | − | 6.24546i | 0.879606 | − | 0.0905139i | ||||
\(70\) | 20.4987 | + | 63.0884i | 0.292838 | + | 0.901262i | ||||
\(71\) | −6.00278 | − | 8.26212i | −0.0845462 | − | 0.116368i | 0.764649 | − | 0.644447i | \(-0.222912\pi\) |
−0.849195 | + | 0.528079i | \(0.822912\pi\) | |||||||
\(72\) | −156.249 | − | 17.1109i | −2.17013 | − | 0.237651i | ||||
\(73\) | −23.0595 | − | 70.9699i | −0.315884 | − | 0.972191i | −0.975389 | − | 0.220491i | \(-0.929234\pi\) |
0.659505 | − | 0.751700i | \(-0.270766\pi\) | |||||||
\(74\) | −24.7209 | − | 8.03232i | −0.334067 | − | 0.108545i | ||||
\(75\) | 60.5591 | + | 13.0102i | 0.807455 | + | 0.173469i | ||||
\(76\) | −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 | 0.0503802 | − | 0.998730i | \(-0.483957\pi\) |
−0.934280 | + | 0.356539i | \(0.883957\pi\) | |||||||
\(80\) | 53.9264 | + | 17.5218i | 0.674081 | + | 0.219022i | ||||
\(81\) | 74.2814 | − | 32.2998i | 0.917054 | − | 0.398763i | ||||
\(82\) | 112.827 | − | 81.9736i | 1.37594 | − | 0.999678i | ||||
\(83\) | 6.94074 | + | 9.55311i | 0.0836234 | + | 0.115098i | 0.848779 | − | 0.528747i | \(-0.177338\pi\) |
−0.765156 | + | 0.643845i | \(0.777338\pi\) | |||||||
\(84\) | 157.403 | + | 175.581i | 1.87385 | + | 2.09026i | ||||
\(85\) | 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 | \(-0.137612\pi\) | |||||||
\(90\) | −65.9486 | + | 13.7178i | −0.732762 | + | 0.152421i | ||||
\(91\) | −4.50483 | + | 13.8645i | −0.0495037 | + | 0.152357i | ||||
\(92\) | −171.539 | + | 55.7363i | −1.86455 | + | 0.605829i | ||||
\(93\) | −35.2146 | + | 60.6879i | −0.378652 | + | 0.652558i | ||||
\(94\) | 131.493 | − | 95.5353i | 1.39886 | − | 1.01633i | ||||
\(95\) | −20.9652 | + | 6.81201i | −0.220687 | + | 0.0717054i | ||||
\(96\) | 82.4596 | − | 8.48532i | 0.858954 | − | 0.0883887i | ||||
\(97\) | 62.4301 | + | 45.3581i | 0.643609 | + | 0.467609i | 0.861088 | − | 0.508456i | \(-0.169783\pi\) |
−0.217479 | + | 0.976065i | \(0.569783\pi\) | |||||||
\(98\) | − | 106.016i | − | 1.08179i | ||||||
\(99\) | −98.9815 | + | 1.91377i | −0.999813 | + | 0.0193310i | ||||
\(100\) | −183.108 | −1.83108 | ||||||||
\(101\) | −7.52095 | + | 10.3517i | −0.0744649 | + | 0.102492i | −0.844625 | − | 0.535359i | \(-0.820176\pi\) |
0.770160 | + | 0.637851i | \(0.220176\pi\) | |||||||
\(102\) | −13.6858 | − | 132.997i | −0.134174 | − | 1.30389i | ||||
\(103\) | 21.8055 | + | 67.1104i | 0.211704 | + | 0.651558i | 0.999371 | + | 0.0354567i | \(0.0112886\pi\) |
−0.787667 | + | 0.616101i | \(0.788711\pi\) | |||||||
\(104\) | 16.8848 | + | 23.2400i | 0.162354 | + | 0.223461i | ||||
\(105\) | 47.9825 | + | 27.8422i | 0.456976 | + | 0.265164i | ||||
\(106\) | −44.6915 | − | 137.546i | −0.421618 | − | 1.29761i | ||||
\(107\) | 175.204 | + | 56.9272i | 1.63742 | + | 0.532029i | 0.975959 | − | 0.217952i | \(-0.0699376\pi\) |
0.661459 | + | 0.749981i | \(0.269938\pi\) | |||||||
\(108\) | −194.635 | + | 139.477i | −1.80218 | + | 1.29145i | ||||
\(109\) | −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 | \(-0.634803\pi\) |
−0.868325 | + | 0.495996i | \(0.834803\pi\) | |||||||
\(114\) | −84.6654 | + | 75.8998i | −0.742679 | + | 0.665788i | ||||
\(115\) | −34.3287 | + | 24.9413i | −0.298510 | + | 0.216881i | ||||
\(116\) | −60.5136 | − | 83.2899i | −0.521669 | − | 0.718016i | ||||
\(117\) | −13.4971 | − | 6.07987i | −0.115360 | − | 0.0519647i | ||||
\(118\) | −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 | ||||||
\(123\) | 24.4972 | − | 114.029i | 0.199165 | − | 0.927063i | ||||
\(124\) | 64.0962 | − | 197.268i | 0.516905 | − | 1.59087i | ||||
\(125\) | −90.5763 | + | 29.4300i | −0.724610 | + | 0.235440i | ||||
\(126\) | 284.446 | + | 31.1498i | 2.25751 | + | 0.247221i | ||||
\(127\) | 11.5481 | − | 8.39020i | 0.0909301 | − | 0.0660646i | −0.541391 | − | 0.840771i | \(-0.682102\pi\) |
0.632321 | + | 0.774706i | \(0.282102\pi\) | |||||||
\(128\) | 137.818 | − | 44.7799i | 1.07671 | − | 0.349843i | ||||
\(129\) | −4.86560 | − | 47.2834i | −0.0377178 | − | 0.366538i | ||||
\(130\) | 9.95940 | + | 7.23592i | 0.0766107 | + | 0.0556610i | ||||
\(131\) | 153.686i | 1.17318i | 0.809885 | + | 0.586589i | \(0.199529\pi\) | ||||
−0.809885 | + | 0.586589i | \(0.800471\pi\) | |||||||
\(132\) | 284.892 | − | 66.9909i | 2.15827 | − | 0.507507i | ||||
\(133\) | 93.6438 | 0.704088 | ||||||||
\(134\) | −132.645 | + | 182.570i | −0.989888 | + | 1.36246i | ||||
\(135\) | −33.4085 | + | 45.3567i | −0.247471 | + | 0.335976i | ||||
\(136\) | 67.0486 | + | 206.354i | 0.493004 | + | 1.51731i | ||||
\(137\) | −47.3996 | − | 65.2400i | −0.345983 | − | 0.476205i | 0.600194 | − | 0.799854i | \(-0.295090\pi\) |
−0.946177 | + | 0.323650i | \(0.895090\pi\) | |||||||
\(138\) | −109.848 | + | 189.310i | −0.796003 | + | 1.37181i | ||||
\(139\) | 65.4935 | + | 201.568i | 0.471176 | + | 1.45013i | 0.851046 | + | 0.525091i | \(0.175969\pi\) |
−0.379870 | + | 0.925040i | \(0.624031\pi\) | |||||||
\(140\) | −155.968 | − | 50.6772i | −1.11406 | − | 0.361980i | ||||
\(141\) | 28.5501 | − | 132.894i | 0.202483 | − | 0.942508i | ||||
\(142\) | 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 | ||||
\(147\) | −59.1813 | − | 66.0160i | −0.402594 | − | 0.449089i | ||||
\(148\) | 51.9881 | − | 37.7715i | 0.351271 | − | 0.255213i | ||||
\(149\) | −133.033 | − | 183.104i | −0.892840 | − | 1.22889i | −0.972696 | − | 0.232083i | \(-0.925446\pi\) |
0.0798559 | − | 0.996806i | \(-0.474554\pi\) | |||||||
\(150\) | −165.449 | + | 148.320i | −1.10300 | + | 0.988801i | ||||
\(151\) | 84.2779 | − | 259.381i | 0.558132 | − | 1.71775i | −0.129395 | − | 0.991593i | \(-0.541304\pi\) |
0.687527 | − | 0.726159i | \(-0.258696\pi\) | |||||||
\(152\) | 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 | ||||||
\(156\) | 42.7849 | + | 9.19164i | 0.274262 | + | 0.0589208i | ||||
\(157\) | 1.87243 | − | 5.76274i | 0.0119263 | − | 0.0367054i | −0.944916 | − | 0.327312i | \(-0.893857\pi\) |
0.956843 | + | 0.290607i | \(0.0938571\pi\) | |||||||
\(158\) | 294.472 | − | 95.6797i | 1.86375 | − | 0.605568i | ||||
\(159\) | −104.612 | − | 60.7020i | −0.657938 | − | 0.381774i | ||||
\(160\) | −46.6403 | + | 33.8861i | −0.291502 | + | 0.211788i | ||||
\(161\) | 171.432 | − | 55.7016i | 1.06479 | − | 0.345973i | ||||
\(162\) | −62.8864 | + | 283.683i | −0.388188 | + | 1.75113i | ||||
\(163\) | −131.002 | − | 95.1782i | −0.803691 | − | 0.583915i | 0.108304 | − | 0.994118i | \(-0.465458\pi\) |
−0.911994 | + | 0.410202i | \(0.865458\pi\) | |||||||
\(164\) | 344.781i | 2.10232i | ||||||||
\(165\) | 58.8725 | − | 35.7000i | 0.356803 | − | 0.216364i | ||||
\(166\) | −42.3596 | −0.255178 | ||||||||
\(167\) | −93.5806 | + | 128.803i | −0.560363 | + | 0.771274i | −0.991373 | − | 0.131074i | \(-0.958158\pi\) |
0.431010 | + | 0.902347i | \(0.358158\pi\) | |||||||
\(168\) | −461.933 | + | 47.5342i | −2.74960 | + | 0.282942i | ||||
\(169\) | −51.3879 | − | 158.156i | −0.304070 | − | 0.935832i | ||||
\(170\) | 54.6542 | + | 75.2250i | 0.321495 | + | 0.442500i | ||||
\(171\) | −10.3515 | + | 94.5259i | −0.0605354 | + | 0.552783i | ||||
\(172\) | 43.4220 | + | 133.639i | 0.252453 | + | 0.776972i | ||||
\(173\) | 36.5394 | + | 11.8724i | 0.211210 | + | 0.0686264i | 0.412711 | − | 0.910862i | \(-0.364582\pi\) |
−0.201501 | + | 0.979488i | \(0.564582\pi\) | |||||||
\(174\) | −122.144 | − | 26.2406i | −0.701974 | − | 0.150808i | ||||
\(175\) | 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 | \(-0.275815\pi\) |
0.0759072 | + | 0.997115i | \(0.475815\pi\) | |||||||
\(180\) | 68.3956 | − | 151.836i | 0.379976 | − | 0.843532i | ||||
\(181\) | 105.447 | − | 76.6119i | 0.582581 | − | 0.423270i | −0.257072 | − | 0.966392i | \(-0.582758\pi\) |
0.839654 | + | 0.543122i | \(0.182758\pi\) | |||||||
\(182\) | −30.7383 | − | 42.3076i | −0.168892 | − | 0.232460i | ||||
\(183\) | −155.228 | − | 173.155i | −0.848242 | − | 0.946205i | ||||
\(184\) | 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 | ||||||||
\(189\) | 194.514 | − | 139.390i | 1.02917 | − | 0.737514i | ||||
\(190\) | 24.4366 | − | 75.2080i | 0.128613 | − | 0.395832i | ||||
\(191\) | −300.134 | + | 97.5195i | −1.57138 | + | 0.510574i | −0.959819 | − | 0.280621i | \(-0.909460\pi\) |
−0.611565 | + | 0.791194i | \(0.709460\pi\) | |||||||
\(192\) | 14.4318 | − | 24.8713i | 0.0751654 | − | 0.129538i | ||||
\(193\) | −118.448 | + | 86.0576i | −0.613721 | + | 0.445894i | −0.850723 | − | 0.525615i | \(-0.823835\pi\) |
0.237002 | + | 0.971509i | \(0.423835\pi\) | |||||||
\(194\) | −263.273 | + | 85.5427i | −1.35708 | + | 0.440942i | ||||
\(195\) | 10.2411 | − | 1.05383i | 0.0525182 | − | 0.00540427i | ||||
\(196\) | 212.038 | + | 154.055i | 1.08183 | + | 0.785995i | ||||
\(197\) | − | 229.459i | − | 1.16476i | −0.812915 | − | 0.582382i | \(-0.802121\pi\) | ||
0.812915 | − | 0.582382i | \(-0.197879\pi\) | |||||||
\(198\) | 203.153 | − | 291.296i | 1.02603 | − | 1.47119i | ||||
\(199\) | −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 | ||||
\(201\) | 19.3183 | + | 187.733i | 0.0961109 | + | 0.933997i | ||||
\(202\) | −14.1841 | − | 43.6541i | −0.0702182 | − | 0.216109i | ||||
\(203\) | 60.4760 | + | 83.2381i | 0.297911 | + | 0.410040i | ||||
\(204\) | 285.891 | + | 165.890i | 1.40143 | + | 0.813188i | ||||
\(205\) | 25.0651 | + | 77.1425i | 0.122269 | + | 0.376305i | ||||
\(206\) | −240.744 | − | 78.2223i | −1.16866 | − | 0.379720i | ||||
\(207\) | 37.2759 | + | 179.204i | 0.180077 | + | 0.865721i | ||||
\(208\) | −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 | 0.123483 | − | 0.992347i | \(-0.460594\pi\) |
−0.905620 | + | 0.424091i | \(0.860594\pi\) | |||||||
\(212\) | 340.045 | + | 110.487i | 1.60399 | + | 0.521167i | ||||
\(213\) | 22.8128 | − | 20.4509i | 0.107102 | − | 0.0960138i | ||||
\(214\) | −534.637 | + | 388.437i | −2.49831 | + | 1.81513i | ||||
\(215\) | 19.4308 | + | 26.7442i | 0.0903757 | + | 0.124391i | ||||
\(216\) | 3.08093 | − | 471.539i | 0.0142636 | − | 2.18305i | ||||
\(217\) | −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 | ||||||||
\(222\) | 16.3789 | − | 76.2398i | 0.0737788 | − | 0.343423i | ||||
\(223\) | −5.10490 | + | 15.7113i | −0.0228919 | + | 0.0704542i | −0.961850 | − | 0.273578i | \(-0.911793\pi\) |
0.938958 | + | 0.344032i | \(0.111793\pi\) | |||||||
\(224\) | 232.914 | − | 75.6783i | 1.03979 | − | 0.337850i | ||||
\(225\) | −20.2285 | + | 184.718i | −0.0899046 | + | 0.820970i | ||||
\(226\) | 441.122 | − | 320.494i | 1.95187 | − | 1.41811i | ||||
\(227\) | 107.335 | − | 34.8751i | 0.472840 | − | 0.153635i | −0.0628969 | − | 0.998020i | \(-0.520034\pi\) |
0.535737 | + | 0.844385i | \(0.320034\pi\) | |||||||
\(228\) | −28.7747 | − | 279.629i | −0.126205 | − | 1.22645i | ||||
\(229\) | 298.218 | + | 216.668i | 1.30226 | + | 0.946150i | 0.999975 | − | 0.00706607i | \(-0.00224922\pi\) |
0.302289 | + | 0.953216i | \(0.402249\pi\) | |||||||
\(230\) | − | 152.217i | − | 0.661815i | ||||||
\(231\) | −284.714 | + | 66.9492i | −1.23253 | + | 0.289823i | ||||
\(232\) | 202.743 | 0.873892 | ||||||||
\(233\) | −102.592 | + | 141.206i | −0.440310 | + | 0.606034i | −0.970281 | − | 0.241981i | \(-0.922203\pi\) |
0.529971 | + | 0.848016i | \(0.322203\pi\) | |||||||
\(234\) | 46.1040 | − | 26.3511i | 0.197026 | − | 0.112611i | ||||
\(235\) | 29.2119 | + | 89.9049i | 0.124306 | + | 0.382574i | ||||
\(236\) | −589.992 | − | 812.054i | −2.49997 | − | 3.44091i | ||||
\(237\) | 129.957 | − | 223.963i | 0.548340 | − | 0.944993i | ||||
\(238\) | −122.060 | − | 375.662i | −0.512856 | − | 1.57841i | ||||
\(239\) | 328.450 | + | 106.720i | 1.37427 | + | 0.446527i | 0.900781 | − | 0.434273i | \(-0.142995\pi\) |
0.473488 | + | 0.880800i | \(0.342995\pi\) | |||||||
\(240\) | −35.7291 | + | 166.310i | −0.148871 | + | 0.692959i | ||||
\(241\) | −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 | ||||
\(246\) | 279.277 | + | 311.530i | 1.13527 | + | 1.26638i | ||||
\(247\) | 14.0595 | − | 10.2148i | 0.0569209 | − | 0.0413555i | ||||
\(248\) | 240.093 | + | 330.460i | 0.968118 | + | 1.33250i | ||||
\(249\) | −26.3774 | + | 23.6465i | −0.105933 | + | 0.0949658i | ||||
\(250\) | 105.574 | − | 324.922i | 0.422294 | − | 1.29969i | ||||
\(251\) | 116.584 | − | 160.465i | 0.464480 | − | 0.639302i | −0.510950 | − | 0.859610i | \(-0.670706\pi\) |
0.975430 | + | 0.220309i | \(0.0707064\pi\) | |||||||
\(252\) | −475.641 | + | 523.648i | −1.88746 | + | 2.07797i | ||||
\(253\) | 41.3169 | − | 219.867i | 0.163308 | − | 0.869040i | ||||
\(254\) | 51.2057i | 0.201597i | ||||||||
\(255\) | 76.0263 | + | 16.3330i | 0.298142 | + | 0.0640510i | ||||
\(256\) | −148.790 | + | 457.929i | −0.581211 | + | 1.78878i | ||||
\(257\) | −1.77390 | + | 0.576376i | −0.00690234 | + | 0.00224271i | −0.312466 | − | 0.949929i | \(-0.601155\pi\) |
0.305564 | + | 0.952172i | \(0.401155\pi\) | |||||||
\(258\) | 147.484 | + | 85.5786i | 0.571642 | + | 0.331700i | ||||
\(259\) | −51.9557 | + | 37.7481i | −0.200601 | + | 0.145745i | ||||
\(260\) | −28.9447 | + | 9.40471i | −0.111326 | + | 0.0361719i | ||||
\(261\) | −90.7073 | + | 51.8444i | −0.347537 | + | 0.198637i | ||||
\(262\) | −446.023 | − | 324.055i | −1.70238 | − | 1.23685i | ||||
\(263\) | 27.0901i | 0.103004i | 0.998673 | + | 0.0515020i | \(0.0164009\pi\) | ||||
−0.998673 | + | 0.0515020i | \(0.983599\pi\) | |||||||
\(264\) | −223.039 | + | 531.431i | −0.844845 | + | 2.01300i | ||||
\(265\) | 84.1151 | 0.317416 | ||||||||
\(266\) | −197.452 | + | 271.770i | −0.742302 | + | 1.02169i | ||||
\(267\) | 222.559 | − | 22.9020i | 0.833556 | − | 0.0857752i | ||||
\(268\) | −172.402 | − | 530.599i | −0.643291 | − | 1.97985i | ||||
\(269\) | 83.9639 | + | 115.566i | 0.312133 | + | 0.429615i | 0.936045 | − | 0.351880i | \(-0.114458\pi\) |
−0.623912 | + | 0.781495i | \(0.714458\pi\) | |||||||
\(270\) | −61.1893 | − | 192.594i | −0.226627 | − | 0.713311i | ||||
\(271\) | −32.5479 | − | 100.172i | −0.120103 | − | 0.369639i | 0.872874 | − | 0.487945i | \(-0.162254\pi\) |
−0.992977 | + | 0.118306i | \(0.962254\pi\) | |||||||
\(272\) | −321.107 | − | 104.334i | −1.18054 | − | 0.383580i | ||||
\(273\) | −42.7583 | − | 9.18592i | −0.156624 | − | 0.0336481i | ||||
\(274\) | 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 | 0.169564 | − | 0.985519i | \(-0.445764\pi\) |
−0.884886 | + | 0.465807i | \(0.845764\pi\) | |||||||
\(278\) | −723.081 | − | 234.943i | −2.60101 | − | 0.845119i | ||||
\(279\) | −191.921 | − | 86.4525i | −0.687890 | − | 0.309866i | ||||
\(280\) | 261.276 | − | 189.828i | 0.933128 | − | 0.677957i | ||||
\(281\) | −38.2716 | − | 52.6763i | −0.136198 | − | 0.187460i | 0.735470 | − | 0.677557i | \(-0.236961\pi\) |
−0.871668 | + | 0.490097i | \(0.836961\pi\) | |||||||
\(282\) | 325.480 | + | 363.070i | 1.15419 | + | 1.28748i | ||||
\(283\) | −48.6936 | + | 149.864i | −0.172062 | + | 0.529553i | −0.999487 | − | 0.0320232i | \(-0.989805\pi\) |
0.827425 | + | 0.561576i | \(0.189805\pi\) | |||||||
\(284\) | −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 | ||||||
\(288\) | 50.6445 | + | 243.473i | 0.175849 | + | 0.845394i | ||||
\(289\) | 41.6112 | − | 128.066i | 0.143984 | − | 0.443136i | ||||
\(290\) | 82.6322 | − | 26.8488i | 0.284939 | − | 0.0925822i | ||||
\(291\) | −116.188 | + | 200.235i | −0.399272 | + | 0.688094i | ||||
\(292\) | −535.399 | + | 388.991i | −1.83356 | + | 1.33216i | ||||
\(293\) | −175.003 | + | 56.8620i | −0.597280 | + | 0.194068i | −0.592027 | − | 0.805918i | \(-0.701672\pi\) |
−0.00525314 | + | 0.999986i | \(0.501672\pi\) | |||||||
\(294\) | 316.376 | − | 32.5560i | 1.07611 | − | 0.110735i | ||||
\(295\) | −191.042 | − | 138.800i | −0.647601 | − | 0.470509i | ||||
\(296\) | 126.549i | 0.427529i | ||||||||
\(297\) | −36.1071 | − | 294.797i | −0.121573 | − | 0.992583i | ||||
\(298\) | 811.906 | 2.72452 | ||||||||
\(299\) | 19.6624 | − | 27.0630i | 0.0657605 | − | 0.0905116i | ||||
\(300\) | −56.2302 | − | 546.440i | −0.187434 | − | 1.82147i | ||||
\(301\) | −43.3950 | − | 133.556i | −0.144169 | − | 0.443708i | ||||
\(302\) | 575.062 | + | 791.505i | 1.90418 | + | 2.62088i | ||||
\(303\) | −33.2016 | − | 19.2655i | −0.109576 | − | 0.0635824i | ||||
\(304\) | 88.7316 | + | 273.088i | 0.291880 | + | 0.898315i | ||||
\(305\) | 153.813 | + | 49.9770i | 0.504306 | + | 0.163859i | ||||
\(306\) | 392.693 | − | 81.6833i | 1.28331 | − | 0.266939i | ||||
\(307\) | 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 | \(-0.447380\pi\) |
−0.446641 | + | 0.894713i | \(0.647380\pi\) | |||||||
\(312\) | −64.1686 | + | 57.5251i | −0.205668 | + | 0.184375i | ||||
\(313\) | 60.1890 | − | 43.7299i | 0.192297 | − | 0.139712i | −0.487471 | − | 0.873139i | \(-0.662080\pi\) |
0.679768 | + | 0.733427i | \(0.262080\pi\) | |||||||
\(314\) | 12.7763 | + | 17.5851i | 0.0406889 | + | 0.0560035i | ||||
\(315\) | −68.3531 | + | 151.741i | −0.216994 | + | 0.481718i | ||||
\(316\) | −236.541 | + | 728.000i | −0.748549 | + | 2.30380i | ||||
\(317\) | −307.870 | + | 423.746i | −0.971198 | + | 1.33674i | −0.0297582 | + | 0.999557i | \(0.509474\pi\) |
−0.941440 | + | 0.337182i | \(0.890526\pi\) | |||||||
\(318\) | 396.747 | − | 175.609i | 1.24763 | − | 0.552229i | ||||
\(319\) | 126.644 | − | 16.3520i | 0.397003 | − | 0.0512603i | ||||
\(320\) | 19.9982i | 0.0624943i | ||||||||
\(321\) | −116.082 | + | 540.332i | −0.361625 | + | 1.68328i | ||||
\(322\) | −199.817 | + | 614.974i | −0.620550 | + | 1.90986i | ||||
\(323\) | 124.838 | − | 40.5623i | 0.386495 | − | 0.125580i | ||||
\(324\) | −476.002 | − | 538.007i | −1.46914 | − | 1.66051i | ||||
\(325\) | 27.4744 | − | 19.9613i | 0.0845366 | − | 0.0614194i | ||||
\(326\) | 552.446 | − | 179.501i | 1.69462 | − | 0.550615i | ||||
\(327\) | −17.9767 | − | 174.696i | −0.0549745 | − | 0.534237i | ||||
\(328\) | −549.303 | − | 399.092i | −1.67470 | − | 1.21674i | ||||
\(329\) | − | 401.571i | − | 1.22058i | ||||||
\(330\) | −20.5280 | + | 246.133i | −0.0622062 | + | 0.745857i | ||||
\(331\) | 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 | ||||
\(333\) | −32.3604 | − | 56.6179i | −0.0971782 | − | 0.170024i | ||||
\(334\) | −176.488 | − | 543.173i | −0.528406 | − | 1.62627i | ||||
\(335\) | −77.1476 | − | 106.185i | −0.230291 | − | 0.316969i | ||||
\(336\) | 362.666 | − | 625.008i | 1.07936 | − | 1.86014i | ||||
\(337\) | −15.3428 | − | 47.2202i | −0.0455275 | − | 0.140119i | 0.925709 | − | 0.378237i | \(-0.123470\pi\) |
−0.971236 | + | 0.238118i | \(0.923470\pi\) | |||||||
\(338\) | 567.348 | + | 184.342i | 1.67854 | + | 0.545392i | ||||
\(339\) | 95.7772 | − | 445.820i | 0.282529 | − | 1.31510i | ||||
\(340\) | −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 | ||||
\(345\) | −84.9727 | − | 94.7860i | −0.246298 | − | 0.274742i | ||||
\(346\) | −111.501 | + | 81.0099i | −0.322256 | + | 0.234133i | ||||
\(347\) | −270.251 | − | 371.969i | −0.778822 | − | 1.07196i | −0.995411 | − | 0.0956933i | \(-0.969493\pi\) |
0.216589 | − | 0.976263i | \(-0.430507\pi\) | |||||||
\(348\) | 229.974 | − | 206.164i | 0.660845 | − | 0.592427i | ||||
\(349\) | −121.675 | + | 374.478i | −0.348640 | + | 1.07300i | 0.610967 | + | 0.791656i | \(0.290781\pi\) |
−0.959606 | + | 0.281346i | \(0.909219\pi\) | |||||||
\(350\) | −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 | \(0.992360\pi\) | |||||||
\(354\) | −1190.87 | − | 255.839i | −3.36403 | − | 0.722708i | ||||
\(355\) | −6.58434 | + | 20.2645i | −0.0185474 | + | 0.0570832i | ||||
\(356\) | −629.029 | + | 204.384i | −1.76693 | + | 0.574112i | ||||
\(357\) | −285.713 | − | 165.787i | −0.800317 | − | 0.464390i | ||||
\(358\) | −395.141 | + | 287.086i | −1.10374 | + | 0.801917i | ||||
\(359\) | −72.1739 | + | 23.4507i | −0.201041 | + | 0.0653223i | −0.407807 | − | 0.913068i | \(-0.633706\pi\) |
0.206765 | + | 0.978391i | \(0.433706\pi\) | |||||||
\(360\) | 162.734 | + | 284.721i | 0.452040 | + | 0.790892i | ||||
\(361\) | 201.742 | + | 146.574i | 0.558842 | + | 0.406022i | ||||
\(362\) | 467.565i | 1.29162i | ||||||||
\(363\) | −96.4600 | + | 349.949i | −0.265730 | + | 0.964047i | ||||
\(364\) | 129.285 | 0.355179 | ||||||||
\(365\) | −91.5131 | + | 125.957i | −0.250721 | + | 0.345087i | ||||
\(366\) | 829.832 | − | 85.3921i | 2.26730 | − | 0.233312i | ||||
\(367\) | 191.376 | + | 588.996i | 0.521462 | + | 1.60489i | 0.771209 | + | 0.636583i | \(0.219653\pi\) |
−0.249747 | + | 0.968311i | \(0.580347\pi\) | |||||||
\(368\) | 324.879 | + | 447.157i | 0.882823 | + | 1.21510i | ||||
\(369\) | 347.812 | + | 38.0890i | 0.942580 | + | 0.103222i | ||||
\(370\) | 16.7586 | + | 51.5776i | 0.0452935 | + | 0.139399i | ||||
\(371\) | −339.833 | − | 110.419i | −0.915993 | − | 0.297624i | ||||
\(372\) | 608.378 | + | 130.700i | 1.63542 | + | 0.351345i | ||||
\(373\) | −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 | ||||
\(378\) | −5.60874 | + | 858.423i | −0.0148379 | + | 2.27096i | ||||
\(379\) | 331.603 | − | 240.924i | 0.874943 | − | 0.635683i | −0.0569658 | − | 0.998376i | \(-0.518143\pi\) |
0.931909 | + | 0.362693i | \(0.118143\pi\) | |||||||
\(380\) | 114.912 | + | 158.162i | 0.302399 | + | 0.416217i | ||||
\(381\) | 28.5847 | + | 31.8859i | 0.0750254 | + | 0.0836900i | ||||
\(382\) | 349.829 | − | 1076.66i | 0.915784 | − | 2.81849i | ||||
\(383\) | −31.1300 | + | 42.8468i | −0.0812795 | + | 0.111872i | −0.847721 | − | 0.530443i | \(-0.822026\pi\) |
0.766441 | + | 0.642314i | \(0.222026\pi\) | |||||||
\(384\) | 175.956 | + | 397.532i | 0.458219 | + | 1.03524i | ||||
\(385\) | 147.896 | − | 139.650i | 0.384147 | − | 0.362726i | ||||
\(386\) | − | 525.213i | − | 1.36065i | ||||||
\(387\) | 139.611 | − | 29.0402i | 0.360752 | − | 0.0750394i | ||||
\(388\) | 211.481 | − | 650.871i | 0.545053 | − | 1.67750i | ||||
\(389\) | 86.2286 | − | 28.0174i | 0.221667 | − | 0.0720241i | −0.196078 | − | 0.980588i | \(-0.562821\pi\) |
0.417745 | + | 0.908564i | \(0.362821\pi\) | |||||||
\(390\) | −18.5353 | + | 31.9433i | −0.0475265 | + | 0.0819059i | ||||
\(391\) | 204.411 | − | 148.514i | 0.522791 | − | 0.379830i | ||||
\(392\) | −490.879 | + | 159.496i | −1.25224 | + | 0.406878i | ||||
\(393\) | −458.637 | + | 47.1950i | −1.16701 | + | 0.120089i | ||||
\(394\) | 665.927 | + | 483.824i | 1.69017 | + | 1.22798i | ||||
\(395\) | 180.081i | 0.455902i | ||||||||
\(396\) | 287.403 | + | 829.613i | 0.725766 | + | 2.09498i | ||||
\(397\) | −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 | ||||
\(399\) | 28.7568 | + | 279.456i | 0.0720721 | + | 0.700390i | ||||
\(400\) | 173.395 | + | 533.656i | 0.433489 | + | 1.33414i | ||||
\(401\) | −11.1216 | − | 15.3075i | −0.0277346 | − | 0.0381734i | 0.794925 | − | 0.606708i | \(-0.207510\pi\) |
−0.822659 | + | 0.568535i | \(0.807510\pi\) | |||||||
\(402\) | −585.567 | − | 339.780i | −1.45663 | − | 0.845223i | ||||
\(403\) | 11.8876 | + | 36.5863i | 0.0294978 | + | 0.0907849i | ||||
\(404\) | 107.923 | + | 35.0662i | 0.267135 | + | 0.0867975i | ||||
\(405\) | −145.615 | − | 85.7707i | −0.359543 | − | 0.211780i | ||||
\(406\) | −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 | 0.699457 | − | 0.714674i | \(-0.253425\pi\) |
−0.463551 | + | 0.886070i | \(0.653425\pi\) | |||||||
\(410\) | −276.731 | − | 89.9154i | −0.674954 | − | 0.219306i | ||||
\(411\) | 180.136 | − | 161.486i | 0.438288 | − | 0.392911i | ||||
\(412\) | 506.283 | − | 367.836i | 1.22884 | − | 0.892806i | ||||
\(413\) | 589.625 | + | 811.549i | 1.42766 | + | 1.96501i | ||||
\(414\) | −598.678 | − | 269.680i | −1.44608 | − | 0.651400i | ||||
\(415\) | 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 | \(0.836014\pi\) | |||||||
\(420\) | 103.337 | − | 481.010i | 0.246041 | − | 1.14526i | ||||
\(421\) | 186.937 | − | 575.334i | 0.444032 | − | 1.36659i | −0.439511 | − | 0.898237i | \(-0.644848\pi\) |
0.883542 | − | 0.468351i | \(-0.155152\pi\) | |||||||
\(422\) | 695.951 | − | 226.128i | 1.64917 | − | 0.535849i | ||||
\(423\) | 405.354 | + | 44.3904i | 0.958284 | + | 0.104942i | ||||
\(424\) | −569.638 | + | 413.866i | −1.34349 | + | 0.976100i | ||||
\(425\) | 243.953 | − | 79.2651i | 0.574007 | − | 0.186506i | ||||
\(426\) | 11.2502 | + | 109.328i | 0.0264089 | + | 0.256639i | ||||
\(427\) | −555.816 | − | 403.824i | −1.30168 | − | 0.945724i | ||||
\(428\) | − | 1633.76i | − | 3.81721i | ||||||
\(429\) | −35.4435 | + | 41.1087i | −0.0826188 | + | 0.0958244i | ||||
\(430\) | −118.587 | −0.275783 | ||||||||
\(431\) | 260.636 | − | 358.735i | 0.604724 | − | 0.832331i | −0.391407 | − | 0.920218i | \(-0.628011\pi\) |
0.996130 | + | 0.0878868i | \(0.0280114\pi\) | |||||||
\(432\) | 590.806 | + | 435.172i | 1.36761 | + | 1.00734i | ||||
\(433\) | 67.6685 | + | 208.262i | 0.156278 | + | 0.480975i | 0.998288 | − | 0.0584870i | \(-0.0186276\pi\) |
−0.842010 | + | 0.539462i | \(0.818628\pi\) | |||||||
\(434\) | −437.082 | − | 601.592i | −1.00710 | − | 1.38616i | ||||
\(435\) | 36.4673 | − | 62.8468i | 0.0838329 | − | 0.144475i | ||||
\(436\) | 160.429 | + | 493.749i | 0.367956 | + | 1.13245i | ||||
\(437\) | −204.365 | − | 66.4022i | −0.467655 | − | 0.151950i | ||||
\(438\) | −168.678 | + | 785.157i | −0.385110 | + | 1.79260i | ||||
\(439\) | 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 | \(-0.633183\pi\) |
−0.865789 | + | 0.500409i | \(0.833183\pi\) | |||||||
\(444\) | 128.684 | + | 143.546i | 0.289829 | + | 0.323301i | ||||
\(445\) | −125.883 | + | 91.4591i | −0.282882 | + | 0.205526i | ||||
\(446\) | −34.8328 | − | 47.9432i | −0.0781005 | − | 0.107496i | ||||
\(447\) | 505.575 | − | 453.232i | 1.13104 | − | 1.01394i | ||||
\(448\) | 26.2518 | − | 80.7946i | 0.0585977 | − | 0.180345i | ||||
\(449\) | 256.349 | − | 352.835i | 0.570934 | − | 0.785823i | −0.421731 | − | 0.906721i | \(-0.638577\pi\) |
0.992665 | + | 0.120898i | \(0.0385773\pi\) | |||||||
\(450\) | −493.430 | − | 448.194i | −1.09651 | − | 0.995986i | ||||
\(451\) | −375.312 | − | 204.991i | −0.832178 | − | 0.454524i | ||||
\(452\) | 1347.99i | 2.98229i | ||||||||
\(453\) | 799.935 | + | 171.853i | 1.76586 | + | 0.379367i | ||||
\(454\) | −125.107 | + | 385.039i | −0.275566 | + | 0.848103i | ||||
\(455\) | 28.9267 | − | 9.39886i | 0.0635752 | − | 0.0206568i | ||||
\(456\) | 478.812 | + | 277.834i | 1.05003 | + | 0.609286i | ||||
\(457\) | −192.984 | + | 140.211i | −0.422285 | + | 0.306808i | −0.778556 | − | 0.627575i | \(-0.784048\pi\) |
0.356272 | + | 0.934382i | \(0.384048\pi\) | |||||||
\(458\) | −1257.62 | + | 408.624i | −2.74589 | + | 0.892192i | ||||
\(459\) | 198.932 | − | 270.078i | 0.433403 | − | 0.588405i | ||||
\(460\) | 304.446 | + | 221.193i | 0.661838 | + | 0.480854i | ||||
\(461\) | 711.175i | 1.54268i | 0.636424 | + | 0.771339i | \(0.280413\pi\) | ||||
−0.636424 | + | 0.771339i | \(0.719587\pi\) | |||||||
\(462\) | 406.036 | − | 967.454i | 0.878866 | − | 2.09406i | ||||
\(463\) | −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 | ||||
\(465\) | 145.622 | − | 14.9849i | 0.313166 | − | 0.0322257i | ||||
\(466\) | −193.483 | − | 595.479i | −0.415199 | − | 1.27785i | ||||
\(467\) | −28.4397 | − | 39.1438i | −0.0608986 | − | 0.0838198i | 0.777481 | − | 0.628906i | \(-0.216497\pi\) |
−0.838380 | + | 0.545086i | \(0.816497\pi\) | |||||||
\(468\) | −14.2914 | + | 130.503i | −0.0305372 | + | 0.278853i | ||||
\(469\) | 172.295 | + | 530.269i | 0.367366 | + | 1.13064i | ||||
\(470\) | −322.514 | − | 104.791i | −0.686199 | − | 0.222960i | ||||
\(471\) | 17.7724 | + | 3.81812i | 0.0377333 | + | 0.00810640i | ||||
\(472\) | 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 | ||||
\(477\) | 149.025 | − | 330.829i | 0.312420 | − | 0.693561i | ||||
\(478\) | −1002.27 | + | 728.193i | −2.09680 | + | 1.52342i | ||||
\(479\) | 100.761 | + | 138.685i | 0.210357 | + | 0.289531i | 0.901138 | − | 0.433533i | \(-0.142733\pi\) |
−0.690781 | + | 0.723064i | \(0.742733\pi\) | |||||||
\(480\) | −115.447 | − | 128.780i | −0.240515 | − | 0.268291i | ||||
\(481\) | −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 | ||||||
\(486\) | −865.889 | − | 100.553i | −1.78166 | − | 0.206899i | ||||
\(487\) | −153.117 | + | 471.247i | −0.314409 | + | 0.967653i | 0.661587 | + | 0.749868i | \(0.269883\pi\) |
−0.975997 | + | 0.217785i | \(0.930117\pi\) | |||||||
\(488\) | −1287.54 | + | 418.348i | −2.63841 | + | 0.857270i | ||||
\(489\) | 243.806 | − | 420.168i | 0.498581 | − | 0.859240i | ||||
\(490\) | −178.947 | + | 130.012i | −0.365197 | + | 0.265331i | ||||
\(491\) | −314.085 | + | 102.052i | −0.639684 | + | 0.207846i | −0.610860 | − | 0.791738i | \(-0.709176\pi\) |
−0.0288242 | + | 0.999584i | \(0.509176\pi\) | |||||||
\(492\) | −1028.91 | + | 105.878i | −2.09128 | + | 0.215198i | ||||
\(493\) | 116.677 | + | 84.7705i | 0.236666 | + | 0.171948i | ||||
\(494\) | 62.3413i | 0.126197i | ||||||||
\(495\) | 124.616 | + | 164.727i | 0.251750 | + | 0.332781i | ||||
\(496\) | −635.619 | −1.28149 | ||||||||
\(497\) | 53.2028 | − | 73.2274i | 0.107048 | − | 0.147339i | ||||
\(498\) | −13.0081 | − | 126.411i | −0.0261206 | − | 0.253838i | ||||
\(499\) | 33.9303 | + | 104.427i | 0.0679966 | + | 0.209272i | 0.979281 | − | 0.202505i | \(-0.0649083\pi\) |
−0.911285 | + | 0.411777i | \(0.864908\pi\) | |||||||
\(500\) | 496.454 | + | 683.310i | 0.992908 | + | 1.36662i | ||||
\(501\) | −413.116 | − | 239.714i | −0.824582 | − | 0.478470i | ||||
\(502\) | 219.872 | + | 676.695i | 0.437991 | + | 1.34800i | ||||
\(503\) | −543.721 | − | 176.666i | −1.08096 | − | 0.351224i | −0.286210 | − | 0.958167i | \(-0.592396\pi\) |
−0.794745 | + | 0.606943i | \(0.792396\pi\) | |||||||
\(504\) | −283.707 | − | 1363.92i | −0.562911 | − | 2.70620i | ||||
\(505\) | 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 | \(-0.221681\pi\) |
0.243570 | + | 0.969883i | \(0.421681\pi\) | |||||||
\(510\) | −207.706 | + | 186.202i | −0.407267 | + | 0.365102i | ||||
\(511\) | 535.067 | − | 388.749i | 1.04710 | − | 0.760760i | ||||
\(512\) | −674.549 | − | 928.437i | −1.31748 | − | 1.81335i | ||||
\(513\) | −285.267 | − | 1.86387i | −0.556076 | − | 0.00363327i | ||||
\(514\) | 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 | ||||||
\(519\) | −24.2092 | + | 112.688i | −0.0466459 | + | 0.217126i | ||||
\(520\) | 18.5207 | − | 57.0007i | 0.0356167 | − | 0.109617i | ||||
\(521\) | 321.351 | − | 104.413i | 0.616796 | − | 0.200409i | 0.0160786 | − | 0.999871i | \(-0.494882\pi\) |
0.600717 | + | 0.799462i | \(0.294882\pi\) | |||||||
\(522\) | 40.7995 | − | 372.564i | 0.0781600 | − | 0.713724i | ||||
\(523\) | −248.719 | + | 180.705i | −0.475562 | + | 0.345516i | −0.799605 | − | 0.600526i | \(-0.794958\pi\) |
0.324043 | + | 0.946042i | \(0.394958\pi\) | |||||||
\(524\) | 1296.26 | − | 421.182i | 2.47379 | − | 0.803782i | ||||
\(525\) | 56.1952 | + | 546.100i | 0.107038 | + | 1.04019i | ||||
\(526\) | −78.6199 | − | 57.1207i | −0.149467 | − | 0.108594i | ||||
\(527\) | 290.564i | 0.551355i | ||||||||
\(528\) | −465.020 | − | 766.858i | −0.880719 | − | 1.45238i | ||||
\(529\) | 115.375 | 0.218100 | ||||||||
\(530\) | −177.361 | + | 244.116i | −0.334643 | + | 0.460596i | ||||
\(531\) | −884.372 | + | 505.469i | −1.66548 | + | 0.951920i | ||||
\(532\) | −256.634 | − | 789.837i | −0.482394 | − | 1.48466i | ||||
\(533\) | −37.5858 | − | 51.7324i | −0.0705175 | − | 0.0970590i | ||||
\(534\) | −402.812 | + | 694.194i | −0.754329 | + | 1.29999i | ||||
\(535\) | −118.772 | − | 365.544i | −0.222005 | − | 0.683260i | ||||
\(536\) | 1044.91 | + | 339.511i | 1.94945 | + | 0.633415i | ||||
\(537\) | −85.7937 | + | 399.349i | −0.159765 | + | 0.743667i | ||||
\(538\) | −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 | 0.647902 | − | 0.761723i | \(-0.275646\pi\) |
−0.524229 | + | 0.851577i | \(0.675646\pi\) | |||||||
\(542\) | 359.345 | + | 116.758i | 0.662998 | + | 0.215421i | ||||
\(543\) | 261.010 | + | 291.153i | 0.480681 | + | 0.536194i | ||||
\(544\) | 277.721 | − | 201.776i | 0.510516 | − | 0.370912i | ||||
\(545\) | 71.7898 | + | 98.8103i | 0.131724 | + | 0.181303i | ||||
\(546\) | 116.817 | − | 104.723i | 0.213950 | − | 0.191800i | ||||
\(547\) | −122.586 | + | 377.280i | −0.224105 | + | 0.689725i | 0.774276 | + | 0.632848i | \(0.218114\pi\) |
−0.998381 | + | 0.0568769i | \(0.981886\pi\) | |||||||
\(548\) | −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 | ||||||
\(552\) | 1041.81 | + | 223.817i | 1.88735 | + | 0.405466i | ||||
\(553\) | 236.394 | − | 727.547i | 0.427476 | − | 1.31564i | ||||
\(554\) | 835.593 | − | 271.500i | 1.50829 | − | 0.490073i | ||||
\(555\) | 39.2279 | + | 22.7623i | 0.0706808 | + | 0.0410131i | ||||
\(556\) | 1520.64 | − | 1104.81i | 2.73496 | − | 1.98706i | ||||
\(557\) | −364.339 | + | 118.381i | −0.654109 | + | 0.212533i | −0.617225 | − | 0.786787i | \(-0.711743\pi\) |
−0.0368842 | + | 0.999320i | \(0.511743\pi\) | |||||||
\(558\) | 655.575 | − | 374.698i | 1.17487 | − | 0.671503i | ||||
\(559\) | −21.0837 | − | 15.3182i | −0.0377168 | − | 0.0274029i | ||||
\(560\) | 502.548i | 0.897407i | ||||||||
\(561\) | −350.558 | + | 212.577i | −0.624880 | + | 0.378925i | ||||
\(562\) | 233.573 | 0.415610 | ||||||||
\(563\) | −85.1328 | + | 117.175i | −0.151213 | + | 0.208127i | −0.877903 | − | 0.478839i | \(-0.841058\pi\) |
0.726690 | + | 0.686966i | \(0.241058\pi\) | |||||||
\(564\) | −1199.13 | + | 123.394i | −2.12612 | + | 0.218784i | ||||
\(565\) | 97.9974 | + | 301.605i | 0.173447 | + | 0.533814i | ||||
\(566\) | −332.256 | − | 457.311i | −0.587025 | − | 0.807971i | ||||
\(567\) | 475.706 | + | 537.672i | 0.838988 | + | 0.948275i | ||||
\(568\) | −55.1163 | − | 169.630i | −0.0970357 | − | 0.298645i | ||||
\(569\) | −877.968 | − | 285.269i | −1.54300 | − | 0.501352i | −0.590800 | − | 0.806818i | \(-0.701188\pi\) |
−0.952203 | + | 0.305466i | \(0.901188\pi\) | |||||||
\(570\) | 231.943 | + | 49.8292i | 0.406918 | + | 0.0874197i | ||||
\(571\) | 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 | ||||
\(576\) | 78.6538 | + | 35.4302i | 0.136552 | + | 0.0615108i | ||||
\(577\) | −372.478 | + | 270.621i | −0.645542 | + | 0.469014i | −0.861750 | − | 0.507334i | \(-0.830631\pi\) |
0.216208 | + | 0.976347i | \(0.430631\pi\) | |||||||
\(578\) | 283.930 | + | 390.796i | 0.491229 | + | 0.676118i | ||||
\(579\) | −293.190 | − | 327.051i | −0.506374 | − | 0.564854i | ||||
\(580\) | −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 | ||||||
\(585\) | 6.28978 | + | 30.2382i | 0.0107518 | + | 0.0516892i | ||||
\(586\) | 203.979 | − | 627.784i | 0.348088 | − | 1.07130i | ||||
\(587\) | 40.3860 | − | 13.1222i | 0.0688007 | − | 0.0223547i | −0.274414 | − | 0.961612i | \(-0.588484\pi\) |
0.343215 | + | 0.939257i | \(0.388484\pi\) | |||||||
\(588\) | −394.623 | + | 680.082i | −0.671128 | + | 1.15660i | ||||
\(589\) | 199.918 | − | 145.249i | 0.339420 | − | 0.246603i | ||||
\(590\) | 805.643 | − | 261.769i | 1.36550 | − | 0.443677i | ||||
\(591\) | 684.760 | − | 70.4637i | 1.15865 | − | 0.119228i | ||||
\(592\) | −159.313 | − | 115.748i | −0.269109 | − | 0.195519i | ||||
\(593\) | − | 106.267i | − | 0.179203i | −0.995978 | − | 0.0896015i | \(-0.971441\pi\) | ||
0.995978 | − | 0.0896015i | \(-0.0285593\pi\) | |||||||
\(594\) | 931.683 | + | 516.805i | 1.56849 | + | 0.870042i | ||||
\(595\) | 229.732 | 0.386105 | ||||||||
\(596\) | −1179.81 | + | 1623.87i | −1.97955 | + | 2.72461i | ||||
\(597\) | −119.567 | − | 1161.94i | −0.200279 | − | 1.94630i | ||||
\(598\) | 37.0822 | + | 114.127i | 0.0620103 | + | 0.190848i | ||||
\(599\) | 427.915 | + | 588.974i | 0.714382 | + | 0.983263i | 0.999692 | + | 0.0248274i | \(0.00790362\pi\) |
−0.285309 | + | 0.958435i | \(0.592096\pi\) | |||||||
\(600\) | 935.673 | + | 542.931i | 1.55945 | + | 0.904886i | ||||
\(601\) | −36.6474 | − | 112.789i | −0.0609774 | − | 0.187669i | 0.915927 | − | 0.401344i | \(-0.131457\pi\) |
−0.976905 | + | 0.213675i | \(0.931457\pi\) | |||||||
\(602\) | 479.102 | + | 155.670i | 0.795851 | + | 0.258588i | ||||
\(603\) | −554.309 | + | 115.301i | −0.919253 | + | 0.191212i | ||||
\(604\) | −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 | 0.000375194 | − | 1.00000i | \(-0.499881\pi\) |
−0.950941 | + | 0.309374i | \(0.899881\pi\) | |||||||
\(608\) | −277.658 | − | 90.2165i | −0.456674 | − | 0.148382i | ||||
\(609\) | −229.831 | + | 206.036i | −0.377391 | + | 0.338319i | ||||
\(610\) | −469.365 | + | 341.013i | −0.769450 | + | 0.559038i | ||||
\(611\) | −43.8040 | − | 60.2910i | −0.0716923 | − | 0.0986760i | ||||
\(612\) | −407.264 | + | 904.110i | −0.665464 | + | 1.47730i | ||||
\(613\) | 212.439 | − | 653.818i | 0.346555 | − | 1.06659i | −0.614190 | − | 0.789158i | \(-0.710517\pi\) |
0.960746 | − | 0.277430i | \(-0.0894827\pi\) | |||||||
\(614\) | −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 | \(-0.211907\pi\) | |||||||
\(618\) | 159.505 | − | 742.458i | 0.258099 | − | 1.20139i | ||||
\(619\) | −163.995 | + | 504.724i | −0.264935 | + | 0.815386i | 0.726773 | + | 0.686877i | \(0.241019\pi\) |
−0.991708 | + | 0.128509i | \(0.958981\pi\) | |||||||
\(620\) | −411.578 | + | 133.730i | −0.663836 | + | 0.215693i | ||||
\(621\) | −523.342 | + | 166.272i | −0.842740 | + | 0.267748i | ||||
\(622\) | 267.702 | − | 194.497i | 0.430388 | − | 0.312695i | ||||
\(623\) | 628.637 | − | 204.257i | 1.00905 | − | 0.327860i | ||||
\(624\) | −13.7270 | − | 133.397i | −0.0219983 | − | 0.213778i | ||||
\(625\) | −256.839 | − | 186.605i | −0.410943 | − | 0.298568i | ||||
\(626\) | 266.885i | 0.426334i | ||||||||
\(627\) | 321.500 | + | 134.932i | 0.512759 | + | 0.215202i | ||||
\(628\) | −53.7372 | −0.0855688 | ||||||||
\(629\) | −52.9123 | + | 72.8275i | −0.0841212 | + | 0.115783i | ||||
\(630\) | −296.253 | − | 518.326i | −0.470242 | − | 0.822739i | ||||
\(631\) | 209.034 | + | 643.341i | 0.331274 | + | 1.01956i | 0.968528 | + | 0.248904i | \(0.0800703\pi\) |
−0.637254 | + | 0.770654i | \(0.719930\pi\) | |||||||
\(632\) | −886.043 | − | 1219.53i | −1.40197 | − | 1.92964i | ||||
\(633\) | 307.138 | − | 529.312i | 0.485210 | − | 0.836196i | ||||
\(634\) | −580.624 | − | 1786.98i | −0.915811 | − | 2.81858i | ||||
\(635\) | −28.3241 | − | 9.20306i | −0.0446049 | − | 0.0144930i | ||||
\(636\) | −225.298 | + | 1048.71i | −0.354241 | + | 1.64891i | ||||
\(637\) | −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 | \(-0.189957\pi\) |
0.338865 | + | 0.940835i | \(0.389957\pi\) | |||||||
\(642\) | −1323.37 | − | 1476.20i | −2.06132 | − | 2.29938i | ||||
\(643\) | 687.427 | − | 499.445i | 1.06909 | − | 0.776741i | 0.0933438 | − | 0.995634i | \(-0.470244\pi\) |
0.975749 | + | 0.218893i | \(0.0702444\pi\) | |||||||
\(644\) | −939.629 | − | 1293.29i | −1.45905 | − | 2.00821i | ||||
\(645\) | −73.8441 | + | 66.1989i | −0.114487 | + | 0.102634i | ||||
\(646\) | −145.508 | + | 447.828i | −0.225245 | + | 0.693233i | ||||
\(647\) | 687.343 | − | 946.046i | 1.06235 | − | 1.46220i | 0.184769 | − | 0.982782i | \(-0.440846\pi\) |
0.877584 | − | 0.479422i | \(-0.159154\pi\) | |||||||
\(648\) | 1408.13 | − | 135.609i | 2.17305 | − | 0.209274i | ||||
\(649\) | 1234.75 | − | 159.428i | 1.90254 | − | 0.245652i | ||||
\(650\) | 121.825i | 0.187423i | ||||||||
\(651\) | −608.000 | − | 130.619i | −0.933947 | − | 0.200644i | ||||
\(652\) | −443.765 | + | 1365.77i | −0.680622 | + | 2.09474i | ||||
\(653\) | 509.322 | − | 165.489i | 0.779972 | − | 0.253428i | 0.108144 | − | 0.994135i | \(-0.465509\pi\) |
0.671828 | + | 0.740707i | \(0.265509\pi\) | |||||||
\(654\) | 544.900 | + | 316.183i | 0.833181 | + | 0.483460i | ||||
\(655\) | 259.411 | − | 188.473i | 0.396048 | − | 0.287746i | ||||
\(656\) | 1004.84 | − | 326.492i | 1.53177 | − | 0.497701i | ||||
\(657\) | 333.263 | + | 583.080i | 0.507250 | + | 0.887488i | ||||
\(658\) | 1165.43 | + | 846.732i | 1.77117 | + | 1.28683i | ||||
\(659\) | 138.756i | 0.210555i | 0.994443 | + | 0.105278i | \(0.0335731\pi\) | ||||
−0.994443 | + | 0.105278i | \(0.966427\pi\) | |||||||
\(660\) | −462.453 | − | 398.722i | −0.700686 | − | 0.604124i | ||||
\(661\) | 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 | ||||
\(663\) | −60.9807 | + | 6.27508i | −0.0919769 | + | 0.00946468i | ||||
\(664\) | 63.7284 | + | 196.136i | 0.0959765 | + | 0.295385i | ||||
\(665\) | −114.840 | − | 158.064i | −0.172692 | − | 0.237690i | ||||
\(666\) | 232.548 | + | 25.4664i | 0.349171 | + | 0.0382378i | ||||
\(667\) | −72.9572 | − | 224.539i | −0.109381 | − | 0.336640i | ||||
\(668\) | 1342.84 | + | 436.317i | 2.01025 | + | 0.653169i | ||||
\(669\) | −48.4539 | − | 10.4095i | −0.0724273 | − | 0.0155598i | ||||
\(670\) | 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 | 0.908072 | − | 0.418814i | \(-0.137554\pi\) |
−0.117706 | + | 0.993048i | \(0.537554\pi\) | |||||||
\(674\) | 169.392 | + | 55.0388i | 0.251323 | + | 0.0816599i | ||||
\(675\) | −557.456 | − | 3.64229i | −0.825861 | − | 0.00539599i | ||||
\(676\) | −1193.13 | + | 866.860i | −1.76499 | + | 1.28234i | ||||
\(677\) | −359.292 | − | 494.523i | −0.530712 | − | 0.730463i | 0.456526 | − | 0.889710i | \(-0.349093\pi\) |
−0.987239 | + | 0.159247i | \(0.949093\pi\) | |||||||
\(678\) | 1091.89 | + | 1217.99i | 1.61046 | + | 1.79645i | ||||
\(679\) | −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 | \(0.741782\pi\) | |||||||
\(684\) | 825.646 | − | 171.741i | 1.20708 | − | 0.251083i | ||||
\(685\) | −51.9918 | + | 160.014i | −0.0759005 | + | 0.233598i | ||||
\(686\) | −588.032 | + | 191.063i | −0.857189 | + | 0.278518i | ||||
\(687\) | −555.012 | + | 956.492i | −0.807878 | + | 1.39227i | ||||
\(688\) | 348.363 | − | 253.100i | 0.506341 | − | 0.367879i | ||||
\(689\) | −63.0665 | + | 20.4915i | −0.0915333 | + | 0.0297410i | ||||
\(690\) | 454.254 | − | 46.7440i | 0.658339 | − | 0.0677449i | ||||
\(691\) | −463.629 | − | 336.846i | −0.670954 | − | 0.487477i | 0.199390 | − | 0.979920i | \(-0.436104\pi\) |
−0.870344 | + | 0.492443i | \(0.836104\pi\) | |||||||
\(692\) | − | 340.727i | − | 0.492380i | ||||||
\(693\) | −287.225 | − | 829.097i | −0.414466 | − | 1.19639i | ||||
\(694\) | 1649.35 | 2.37659 | ||||||||
\(695\) | 259.915 | − | 357.742i | 0.373978 | − | 0.514737i | ||||
\(696\) | 62.2597 | + | 605.034i | 0.0894536 | + | 0.869302i | ||||
\(697\) | −149.251 | − | 459.347i | −0.214133 | − | 0.659035i | ||||
\(698\) | −830.239 | − | 1142.73i | −1.18945 | − | 1.63714i | ||||
\(699\) | −452.898 | − | 262.797i | −0.647922 | − | 0.375962i | ||||
\(700\) | −501.502 | − | 1543.46i | −0.716431 | − | 2.20495i | ||||
\(701\) | 778.940 | + | 253.093i | 1.11118 | + | 0.361046i | 0.806397 | − | 0.591375i | \(-0.201415\pi\) |
0.304787 | + | 0.952420i | \(0.401415\pi\) | |||||||
\(702\) | 92.7959 | + | 129.493i | 0.132188 | + | 0.184464i | ||||
\(703\) | 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 | ||||
\(708\) | 2242.19 | − | 2010.05i | 3.16693 | − | 2.83905i | ||||
\(709\) | −145.495 | + | 105.708i | −0.205212 | + | 0.149095i | −0.685645 | − | 0.727936i | \(-0.740480\pi\) |
0.480433 | + | 0.877032i | \(0.340480\pi\) | |||||||
\(710\) | −44.9276 | − | 61.8376i | −0.0632783 | − | 0.0870952i | ||||
\(711\) | 708.269 | + | 319.045i | 0.996159 | + | 0.448728i | ||||
\(712\) | 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 | ||||||
\(717\) | −217.615 | + | 1012.95i | −0.303508 | + | 1.41276i | ||||
\(718\) | 84.1241 | − | 258.907i | 0.117165 | − | 0.360595i | ||||
\(719\) | −633.724 | + | 205.910i | −0.881397 | + | 0.286383i | −0.714537 | − | 0.699597i | \(-0.753363\pi\) |
−0.166860 | + | 0.985981i | \(0.553363\pi\) | |||||||
\(720\) | −507.282 | − | 55.5525i | −0.704558 | − | 0.0771563i | ||||
\(721\) | −505.968 | + | 367.607i | −0.701759 | + | 0.509858i | ||||
\(722\) | −850.765 | + | 276.430i | −1.17834 | + | 0.382867i | ||||
\(723\) | −80.2869 | − | 780.221i | −0.111047 | − | 1.07914i | ||||
\(724\) | −935.163 | − | 679.436i | −1.29166 | − | 0.938447i | ||||
\(725\) | − | 239.684i | − | 0.330598i | ||||||
\(726\) | −812.220 | − | 1017.83i | −1.11876 | − | 1.40197i | ||||
\(727\) | 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 | ||||
\(729\) | −595.322 | + | 420.752i | −0.816629 | + | 0.577164i | ||||
\(730\) | −172.588 | − | 531.172i | −0.236422 | − | 0.727633i | ||||
\(731\) | −115.701 | − | 159.249i | −0.158278 | − | 0.217851i | ||||
\(732\) | −1035.07 | + | 1783.81i | −1.41403 | + | 2.43690i | ||||
\(733\) | 361.513 | + | 1112.62i | 0.493196 | + | 1.51790i | 0.819749 | + | 0.572723i | \(0.194113\pi\) |
−0.326552 | + | 0.945179i | \(0.605887\pi\) | |||||||
\(734\) | −2112.89 | − | 686.520i | −2.87860 | − | 0.935313i | ||||
\(735\) | −38.8533 | + | 180.853i | −0.0528616 | + | 0.246058i | ||||
\(736\) | −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 | 0.712498 | − | 0.701674i | \(-0.247564\pi\) |
−0.447157 | + | 0.894455i | \(0.647564\pi\) | |||||||
\(740\) | −127.511 | − | 41.4309i | −0.172313 | − | 0.0559877i | ||||
\(741\) | 34.8009 | + | 38.8200i | 0.0469648 | + | 0.0523887i | ||||
\(742\) | 1037.01 | − | 753.430i | 1.39759 | − | 1.01540i | ||||
\(743\) | 484.132 | + | 666.351i | 0.651591 | + | 0.896838i | 0.999167 | − | 0.0408136i | \(-0.0129950\pi\) |
−0.347576 | + | 0.937652i | \(0.612995\pi\) | |||||||
\(744\) | −912.443 | + | 817.976i | −1.22640 | + | 1.09943i | ||||
\(745\) | −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 | ||||||||
\(750\) | 1002.07 | + | 215.278i | 1.33609 | + | 0.287037i | ||||
\(751\) | −1.89680 | + | 5.83775i | −0.00252570 | + | 0.00777330i | −0.952311 | − | 0.305128i | \(-0.901301\pi\) |
0.949786 | + | 0.312901i | \(0.101301\pi\) | |||||||
\(752\) | 1171.08 | − | 380.507i | 1.55729 | − | 0.505993i | ||||
\(753\) | 514.667 | + | 298.640i | 0.683489 | + | 0.396600i | ||||
\(754\) | −55.4139 | + | 40.2606i | −0.0734933 | + | 0.0533960i | ||||
\(755\) | −541.170 | + | 175.837i | −0.716782 | + | 0.232896i | ||||
\(756\) | −1708.75 | − | 1258.62i | −2.26026 | − | 1.66484i | ||||
\(757\) | 891.755 | + | 647.898i | 1.17801 | + | 0.855876i | 0.991946 | − | 0.126661i | \(-0.0404261\pi\) |
0.186066 | + | 0.982537i | \(0.440426\pi\) | |||||||
\(758\) | 1470.37i | 1.93980i | ||||||||
\(759\) | 668.825 | + | 55.7815i | 0.881192 | + | 0.0734934i | ||||
\(760\) | −384.996 | −0.506574 | ||||||||
\(761\) | 705.506 | − | 971.046i | 0.927078 | − | 1.27601i | −0.0339108 | − | 0.999425i | \(-0.510796\pi\) |
0.960989 | − | 0.276588i | \(-0.0892038\pi\) | |||||||
\(762\) | −152.810 | + | 15.7246i | −0.200538 | + | 0.0206360i | ||||
\(763\) | −160.329 | − | 493.442i | −0.210130 | − | 0.646713i | ||||
\(764\) | 1645.05 | + | 2264.22i | 2.15321 | + | 2.96364i | ||||
\(765\) | −25.3950 | + | 231.896i | −0.0331961 | + | 0.303132i | ||||
\(766\) | −58.7094 | − | 180.689i | −0.0766442 | − | 0.235887i | ||||
\(767\) | 177.050 | + | 57.5270i | 0.230834 | + | 0.0750027i | ||||
\(768\) | −1412.26 | − | 303.402i | −1.83888 | − | 0.395054i | ||||
\(769\) | −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 | \(-0.276206\pi\) |
0.0746805 | + | 0.997208i | \(0.476206\pi\) | |||||||
\(774\) | −210.097 | + | 466.407i | −0.271443 | + | 0.602593i | ||||
\(775\) | 390.671 | − | 283.839i | 0.504092 | − | 0.366244i | ||||
\(776\) | 792.170 | + | 1090.33i | 1.02084 | + | 1.40506i | ||||
\(777\) | −128.604 | − | 143.457i | −0.165514 | − | 0.184629i | ||||
\(778\) | −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 | ||||||||
\(783\) | −182.571 | − | 254.772i | −0.233169 | − | 0.325379i | ||||
\(784\) | 248.191 | − | 763.854i | 0.316570 | − | 0.974303i | ||||
\(785\) | −12.0233 | + | 3.90662i | −0.0153164 | + | 0.00497659i | ||||
\(786\) | 830.090 | − | 1430.55i | 1.05609 | − | 1.82004i | ||||
\(787\) | −302.139 | + | 219.517i | −0.383912 | + | 0.278928i | −0.762956 | − | 0.646450i | \(-0.776253\pi\) |
0.379044 | + | 0.925379i | \(0.376253\pi\) | |||||||
\(788\) | −1935.36 | + | 628.838i | −2.45605 | + | 0.798018i | ||||
\(789\) | −80.8433 | + | 8.31900i | −0.102463 | + | 0.0105437i | ||||
\(790\) | −522.626 | − | 379.710i | −0.661552 | − | 0.480646i | ||||
\(791\) | − | 1347.16i | − | 1.70311i | ||||||
\(792\) | −1654.41 | − | 502.407i | −2.08890 | − | 0.634353i | ||||
\(793\) | −127.499 | −0.160780 | ||||||||
\(794\) | 707.983 | − | 974.454i | 0.891666 | − | 1.22727i | ||||
\(795\) | 25.8306 | + | 251.020i | 0.0324914 | + | 0.315748i | ||||
\(796\) | 1067.05 | + | 3284.04i | 1.34051 | + | 4.12567i | ||||
\(797\) | −491.864 | − | 676.992i | −0.617144 | − | 0.849426i | 0.379997 | − | 0.924988i | \(-0.375925\pi\) |
−0.997141 | + | 0.0755619i | \(0.975925\pi\) | |||||||
\(798\) | −871.662 | − | 505.788i | −1.09231 | − | 0.633820i | ||||
\(799\) | −173.943 | − | 535.341i | −0.217701 | − | 0.670014i | ||||
\(800\) | −542.587 | − | 176.297i | −0.678234 | − | 0.220372i | ||||
\(801\) | 136.690 | + | 657.138i | 0.170649 | + | 0.820397i | ||||
\(802\) | 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 | ||||
\(807\) | −319.094 | + | 286.057i | −0.395407 | + | 0.354470i | ||||
\(808\) | −180.790 | + | 131.352i | −0.223750 | + | 0.162564i | ||||
\(809\) | −304.962 | − | 419.745i | −0.376962 | − | 0.518844i | 0.577814 | − | 0.816168i | \(-0.303906\pi\) |
−0.954777 | + | 0.297324i | \(0.903906\pi\) | |||||||
\(810\) | 555.957 | − | 241.747i | 0.686366 | − | 0.298453i | ||||
\(811\) | 241.858 | − | 744.364i | 0.298222 | − | 0.917834i | −0.683897 | − | 0.729578i | \(-0.739716\pi\) |
0.982120 | − | 0.188256i | \(-0.0602836\pi\) | |||||||
\(812\) | 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 | ||||||||
\(816\) | 212.750 | − | 990.299i | 0.260723 | − | 1.21360i | ||||
\(817\) | −51.7314 | + | 159.213i | −0.0633187 | + | 0.194875i | ||||
\(818\) | −406.889 | + | 132.206i | −0.497419 | + | 0.161621i | ||||
\(819\) | 14.2825 | − | 130.422i | 0.0174390 | − | 0.159245i | ||||
\(820\) | 581.965 | − | 422.822i | 0.709714 | − | 0.515637i | ||||
\(821\) | −524.622 | + | 170.460i | −0.639004 | + | 0.207625i | −0.610560 | − | 0.791970i | \(-0.709055\pi\) |
−0.0284445 | + | 0.999595i | \(0.509055\pi\) | |||||||
\(822\) | 88.8346 | + | 863.287i | 0.108071 | + | 1.05023i | ||||
\(823\) | 37.3544 | + | 27.1396i | 0.0453881 | + | 0.0329764i | 0.610248 | − | 0.792210i | \(-0.291070\pi\) |
−0.564860 | + | 0.825187i | \(0.691070\pi\) | |||||||
\(824\) | 1232.39i | 1.49562i | ||||||||
\(825\) | 628.261 | + | 263.678i | 0.761528 | + | 0.319610i | ||||
\(826\) | −3598.50 | −4.35654 | ||||||||
\(827\) | −350.444 | + | 482.345i | −0.423753 | + | 0.583247i | −0.966505 | − | 0.256646i | \(-0.917382\pi\) |
0.542752 | + | 0.839893i | \(0.317382\pi\) | |||||||
\(828\) | 1409.34 | − | 805.518i | 1.70210 | − | 0.972848i | ||||
\(829\) | −428.629 | − | 1319.18i | −0.517043 | − | 1.59129i | −0.779534 | − | 0.626360i | \(-0.784544\pi\) |
0.262491 | − | 0.964935i | \(-0.415456\pi\) | |||||||
\(830\) | 51.9477 | + | 71.4999i | 0.0625876 | + | 0.0861445i | ||||
\(831\) | 368.764 | − | 635.518i | 0.443760 | − | 0.764763i | ||||
\(832\) | −4.87182 | − | 14.9939i | −0.00585555 | − | 0.0180215i | ||||
\(833\) | −349.184 | − | 113.457i | −0.419189 | − | 0.136203i | ||||
\(834\) | 479.079 | − | 2230.00i | 0.574435 | − | 2.67386i | ||||
\(835\) | 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 | 0.982076 | + | 0.188486i | \(0.0603581\pi\) |
0.905305 | + | 0.424761i | \(0.139642\pi\) | |||||||
\(840\) | 646.727 | + | 721.417i | 0.769913 | + | 0.858830i | ||||
\(841\) | −571.359 | + | 415.117i | −0.679381 | + | 0.493599i | ||||
\(842\) | 1275.55 | + | 1755.64i | 1.51490 | + | 2.08509i | ||||
\(843\) | 145.446 | − | 130.388i | 0.172534 | − | 0.154671i | ||||
\(844\) | −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 | ||||||
\(849\) | −462.182 | − | 99.2924i | −0.544384 | − | 0.116952i | ||||
\(850\) | −284.346 | + | 875.127i | −0.334525 | + | 1.02956i | ||||
\(851\) | 140.153 | − | 45.5386i | 0.164693 | − | 0.0535119i | ||||
\(852\) | −235.012 | − | 136.368i | −0.275836 | − | 0.160056i | ||||
\(853\) | 657.366 | − | 477.604i | 0.770652 | − | 0.559911i | −0.131507 | − | 0.991315i | \(-0.541982\pi\) |
0.902159 | + | 0.431404i | \(0.141982\pi\) | |||||||
\(854\) | 2343.93 | − | 761.589i | 2.74465 | − | 0.891791i | ||||
\(855\) | 172.248 | − | 98.4493i | 0.201459 | − | 0.115145i | ||||
\(856\) | 2602.90 | + | 1891.12i | 3.04078 | + | 2.20925i | ||||
\(857\) | − | 551.421i | − | 0.643431i | −0.946836 | − | 0.321716i | \(-0.895740\pi\) | ||
0.946836 | − | 0.321716i | \(-0.104260\pi\) | |||||||
\(858\) | −44.5700 | − | 189.542i | −0.0519464 | − | 0.220912i | ||||
\(859\) | −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 | ||||
\(861\) | 1028.27 | − | 105.812i | 1.19427 | − | 0.122894i | ||||
\(862\) | 491.544 | + | 1512.82i | 0.570237 | + | 1.75501i | ||||
\(863\) | −421.079 | − | 579.565i | −0.487924 | − | 0.671570i | 0.492079 | − | 0.870550i | \(-0.336237\pi\) |
−0.980003 | + | 0.198980i | \(0.936237\pi\) | |||||||
\(864\) | −711.031 | + | 225.903i | −0.822953 | + | 0.261462i | ||||
\(865\) | −24.7704 | − | 76.2355i | −0.0286363 | − | 0.0881335i | ||||
\(866\) | −747.094 | − | 242.745i | −0.862695 | − | 0.280307i | ||||
\(867\) | 394.959 | + | 84.8505i | 0.455546 | + | 0.0978668i | ||||
\(868\) | 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 | ||||
\(873\) | −633.230 | − | 285.244i | −0.725350 | − | 0.326740i | ||||
\(874\) | 623.624 | − | 453.089i | 0.713528 | − | 0.518409i | ||||
\(875\) | −496.145 | − | 682.885i | −0.567023 | − | 0.780440i | ||||
\(876\) | −1325.26 | − | 1478.31i | −1.51285 | − | 1.68757i | ||||
\(877\) | 306.432 | − | 943.101i | 0.349410 | − | 1.07537i | −0.609771 | − | 0.792578i | \(-0.708739\pi\) |
0.959181 | − | 0.282794i | \(-0.0912614\pi\) | |||||||
\(878\) | −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 | \(0.747272\pi\) | |||||||
\(882\) | 194.310 | + | 934.145i | 0.220306 | + | 1.05912i | ||||
\(883\) | 86.0075 | − | 264.704i | 0.0974037 | − | 0.299778i | −0.890469 | − | 0.455044i | \(-0.849624\pi\) |
0.987873 | + | 0.155266i | \(0.0496235\pi\) | |||||||
\(884\) | 172.352 | − | 56.0006i | 0.194968 | − | 0.0633491i | ||||
\(885\) | 355.547 | − | 612.740i | 0.401748 | − | 0.692361i | ||||
\(886\) | 1719.65 | − | 1249.40i | 1.94091 | − | 1.41015i | ||||
\(887\) | 1116.54 | − | 362.787i | 1.25879 | − | 0.409005i | 0.397725 | − | 0.917505i | \(-0.369800\pi\) |
0.861062 | + | 0.508500i | \(0.169800\pi\) | |||||||
\(888\) | −377.652 | + | 38.8614i | −0.425283 | + | 0.0437628i | ||||
\(889\) | 102.351 | + | 74.3626i | 0.115131 | + | 0.0836475i | ||||
\(890\) | − | 558.178i | − | 0.627166i | ||||||
\(891\) | 868.658 | − | 198.280i | 0.974924 | − | 0.222537i | ||||
\(892\) | 146.507 | 0.164245 | ||||||||
\(893\) | −281.382 | + | 387.289i | −0.315097 | + | 0.433694i | ||||
\(894\) | 249.326 | + | 2422.92i | 0.278888 | + | 2.71021i | ||||
\(895\) | −87.7825 | − | 270.167i | −0.0980810 | − | 0.301862i | ||||
\(896\) | 754.921 | + | 1039.06i | 0.842546 | + | 1.15966i | ||||
\(897\) | 86.8005 | + | 50.3667i | 0.0967676 | + | 0.0561501i | ||||
\(898\) | 483.460 | + | 1487.94i | 0.538374 | + | 1.65695i | ||||
\(899\) | 258.218 | + | 83.9001i | 0.287228 | + | 0.0933260i | ||||
\(900\) | 1613.44 | − | 335.609i | 1.79271 | − | 0.372899i | ||||
\(901\) | −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 | ||||
\(906\) | −2185.45 | + | 1959.18i | −2.41219 | + | 2.16245i | ||||
\(907\) | −117.806 | + | 85.5912i | −0.129885 | + | 0.0943673i | −0.650831 | − | 0.759223i | \(-0.725579\pi\) |
0.520946 | + | 0.853590i | \(0.325579\pi\) | |||||||
\(908\) | −588.308 | − | 809.736i | −0.647916 | − | 0.891780i | ||||
\(909\) | 47.2970 | − | 104.998i | 0.0520319 | − | 0.115509i | ||||
\(910\) | −33.7163 | + | 103.768i | −0.0370509 | + | 0.114031i | ||||
\(911\) | −632.867 | + | 871.067i | −0.694695 | + | 0.956166i | 0.305297 | + | 0.952257i | \(0.401244\pi\) |
−0.999992 | + | 0.00390866i | \(0.998756\pi\) | |||||||
\(912\) | −787.712 | + | 348.658i | −0.863719 | + | 0.382301i | ||||
\(913\) | 55.6273 | + | 117.377i | 0.0609280 | + | 0.128562i | ||||
\(914\) | − | 855.714i | − | 0.936230i | ||||||
\(915\) | −101.909 | + | 474.364i | −0.111376 | + | 0.518430i | ||||
\(916\) | 1010.21 | − | 3109.11i | 1.10285 | − | 3.39422i | ||||
\(917\) | −1295.46 | + | 420.920i | −1.41271 | + | 0.459018i | ||||
\(918\) | 364.354 | + | 1146.81i | 0.396899 | + | 1.24924i | ||||
\(919\) | −255.740 | + | 185.806i | −0.278280 | + | 0.202183i | −0.718167 | − | 0.695871i | \(-0.755019\pi\) |
0.439887 | + | 0.898053i | \(0.355019\pi\) | |||||||
\(920\) | −704.806 | + | 229.005i | −0.766093 | + | 0.248919i | ||||
\(921\) | 118.742 | + | 1153.92i | 0.128927 | + | 1.25290i | ||||
\(922\) | −2063.95 | − | 1499.55i | −2.23855 | − | 1.62640i | ||||
\(923\) | − | 16.7976i | − | 0.0181990i | ||||||
\(924\) | 1344.95 | + | 2217.94i | 1.45557 | + | 2.40037i | ||||
\(925\) | 149.606 | 0.161737 | ||||||||
\(926\) | 973.067 | − | 1339.31i | 1.05083 | − | 1.44634i | ||||
\(927\) | −315.140 | − | 551.370i | −0.339957 | − | 0.594790i | ||||
\(928\) | −99.1224 | − | 305.067i | −0.106813 | − | 0.328736i | ||||
\(929\) | 657.526 | + | 905.007i | 0.707778 | + | 0.974173i | 0.999842 | + | 0.0177741i | \(0.00565796\pi\) |
−0.292064 | + | 0.956399i | \(0.594342\pi\) | |||||||
\(930\) | −263.563 | + | 454.217i | −0.283401 | + | 0.488405i | ||||
\(931\) | 96.4904 | + | 296.967i | 0.103642 | + | 0.318976i | ||||
\(932\) | 1472.16 | + | 478.333i | 1.57957 | + | 0.513233i | ||||
\(933\) | 58.1239 | − | 270.553i | 0.0622979 | − | 0.289982i | ||||
\(934\) | 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 | 0.0327830 | − | 0.999462i | \(-0.489563\pi\) |
−0.940415 | + | 0.340029i | \(0.889563\pi\) | |||||||
\(938\) | −1902.22 | − | 618.068i | −2.02795 | − | 0.658922i | ||||
\(939\) | 148.984 | + | 166.190i | 0.158662 | + | 0.176986i | ||||
\(940\) | 678.245 | − | 492.774i | 0.721538 | − | 0.524228i | ||||
\(941\) | 188.418 | + | 259.335i | 0.200231 | + | 0.275595i | 0.897311 | − | 0.441399i | \(-0.145518\pi\) |
−0.697080 | + | 0.716994i | \(0.745518\pi\) | |||||||
\(942\) | −48.5548 | + | 43.5278i | −0.0515443 | + | 0.0462079i | ||||
\(943\) | −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 | \(-0.118691\pi\) | |||||||
\(948\) | −2245.17 | − | 482.338i | −2.36832 | − | 0.508795i | ||||
\(949\) | 37.9284 | − | 116.732i | 0.0399667 | − | 0.123005i | ||||
\(950\) | 744.259 | − | 241.824i | 0.783430 | − | 0.254552i | ||||
\(951\) | −1359.10 | − | 788.631i | −1.42913 | − | 0.829265i | ||||
\(952\) | −1555.78 | + | 1130.34i | −1.63422 | + | 1.18733i | ||||
\(953\) | −1276.39 | + | 414.726i | −1.33934 | + | 0.435179i | −0.889094 | − | 0.457724i | \(-0.848665\pi\) |
−0.450249 | + | 0.892903i | \(0.648665\pi\) | |||||||
\(954\) | 645.895 | + | 1130.06i | 0.677039 | + | 1.18455i | ||||
\(955\) | 532.676 | + | 387.012i | 0.557776 | + | 0.405248i | ||||
\(956\) | − | 3062.78i | − | 3.20374i | ||||||
\(957\) | 87.6891 | + | 372.915i | 0.0916292 | + | 0.389671i | ||||
\(958\) | −614.947 | −0.641907 | ||||||||
\(959\) | 420.104 | − | 578.224i | 0.438065 | − | 0.602945i | ||||
\(960\) | −59.6794 | + | 6.14117i | −0.0621660 | + | 0.00639706i | ||||
\(961\) | −127.930 | − | 393.727i | −0.133122 | − | 0.409706i | ||||
\(962\) | −25.1299 | − | 34.5884i | −0.0261226 | − | 0.0359547i | ||||
\(963\) | −1648.13 | − | 180.487i | −1.71145 | − | 0.187421i | ||||
\(964\) | 716.504 | + | 2205.17i | 0.743261 | + | 2.28752i | ||||
\(965\) | 290.518 | + | 94.3950i | 0.301055 | + | 0.0978187i | ||||
\(966\) | −1896.59 | − | 407.452i | −1.96334 | − | 0.421793i | ||||
\(967\) | 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 | \(-0.544354\pi\) |
−0.694454 | + | 0.719537i | \(0.744354\pi\) | |||||||
\(972\) | 1459.37 | − | 1585.72i | 1.50141 | − | 1.63140i | ||||
\(973\) | −1519.69 | + | 1104.12i | −1.56186 | + | 1.13476i | ||||
\(974\) | −1044.78 | − | 1438.02i | −1.07267 | − | 1.47640i | ||||
\(975\) | 68.0064 | + | 75.8604i | 0.0697502 | + | 0.0778055i | ||||
\(976\) | 650.988 | − | 2003.54i | 0.666996 | − | 2.05280i | ||||
\(977\) | −712.767 | + | 981.039i | −0.729546 | + | 1.00413i | 0.269606 | + | 0.962971i | \(0.413107\pi\) |
−0.999152 | + | 0.0411637i | \(0.986893\pi\) | |||||||
\(978\) | 705.322 | + | 1593.51i | 0.721188 | + | 1.62936i | ||||
\(979\) | 151.508 | − | 806.248i | 0.154758 | − | 0.823542i | ||||
\(980\) | − | 546.831i | − | 0.557991i | ||||||
\(981\) | 515.814 | − | 107.293i | 0.525804 | − | 0.109371i | ||||
\(982\) | 366.090 | − | 1126.71i | 0.372801 | − | 1.14736i | ||||
\(983\) | 432.404 | − | 140.496i | 0.439882 | − | 0.142926i | −0.0806993 | − | 0.996738i | \(-0.525715\pi\) |
0.520581 | + | 0.853812i | \(0.325715\pi\) | |||||||
\(984\) | 1022.30 | − | 1761.81i | 1.03893 | − | 1.79046i | ||||
\(985\) | −387.310 | + | 281.397i | −0.393208 | + | 0.285682i | ||||
\(986\) | −492.036 | + | 159.872i | −0.499022 | + | 0.162142i | ||||
\(987\) | 1198.39 | − | 123.317i | 1.21417 | − | 0.124941i | ||||
\(988\) | −124.687 | − | 90.5904i | −0.126201 | − | 0.0916907i | ||||
\(989\) | 322.239i | 0.325823i | ||||||||
\(990\) | −740.824 | + | 14.3235i | −0.748307 | + | 0.0144682i | ||||
\(991\) | 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 | ||||
\(993\) | 77.2956 | + | 751.151i | 0.0778405 | + | 0.756447i | ||||
\(994\) | 100.337 | + | 308.807i | 0.100943 | + | 0.310671i | ||||
\(995\) | 477.490 | + | 657.209i | 0.479890 | + | 0.660512i | ||||
\(996\) | 271.734 | + | 157.676i | 0.272825 | + | 0.158309i | ||||
\(997\) | 202.089 | + | 621.967i | 0.202697 | + | 0.623839i | 0.999800 | + | 0.0199948i | \(0.00636496\pi\) |
−0.797103 | + | 0.603844i | \(0.793635\pi\) | |||||||
\(998\) | −374.607 | − | 121.717i | −0.375358 | − | 0.121961i | ||||
\(999\) | 159.024 | − | 113.958i | 0.159183 | − | 0.114072i |
(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.26.1 | yes | 16 | |
3.2 | odd | 2 | inner | 33.3.h.b.26.4 | yes | 16 | |
11.2 | odd | 10 | 363.3.h.n.269.1 | 16 | |||
11.3 | even | 5 | inner | 33.3.h.b.14.4 | yes | 16 | |
11.4 | even | 5 | 363.3.h.o.251.1 | 16 | |||
11.5 | even | 5 | 363.3.b.m.122.1 | 8 | |||
11.6 | odd | 10 | 363.3.b.l.122.8 | 8 | |||
11.7 | odd | 10 | 363.3.h.n.251.4 | 16 | |||
11.8 | odd | 10 | 363.3.h.j.245.1 | 16 | |||
11.9 | even | 5 | 363.3.h.o.269.4 | 16 | |||
11.10 | odd | 2 | 363.3.h.j.323.4 | 16 | |||
33.2 | even | 10 | 363.3.h.n.269.4 | 16 | |||
33.5 | odd | 10 | 363.3.b.m.122.8 | 8 | |||
33.8 | even | 10 | 363.3.h.j.245.4 | 16 | |||
33.14 | odd | 10 | inner | 33.3.h.b.14.1 | ✓ | 16 | |
33.17 | even | 10 | 363.3.b.l.122.1 | 8 | |||
33.20 | odd | 10 | 363.3.h.o.269.1 | 16 | |||
33.26 | odd | 10 | 363.3.h.o.251.4 | 16 | |||
33.29 | even | 10 | 363.3.h.n.251.1 | 16 | |||
33.32 | even | 2 | 363.3.h.j.323.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.3.h.b.14.1 | ✓ | 16 | 33.14 | odd | 10 | inner | |
33.3.h.b.14.4 | yes | 16 | 11.3 | even | 5 | inner | |
33.3.h.b.26.1 | yes | 16 | 1.1 | even | 1 | trivial | |
33.3.h.b.26.4 | yes | 16 | 3.2 | odd | 2 | inner | |
363.3.b.l.122.1 | 8 | 33.17 | even | 10 | |||
363.3.b.l.122.8 | 8 | 11.6 | odd | 10 | |||
363.3.b.m.122.1 | 8 | 11.5 | even | 5 | |||
363.3.b.m.122.8 | 8 | 33.5 | odd | 10 | |||
363.3.h.j.245.1 | 16 | 11.8 | odd | 10 | |||
363.3.h.j.245.4 | 16 | 33.8 | even | 10 | |||
363.3.h.j.323.1 | 16 | 33.32 | even | 2 | |||
363.3.h.j.323.4 | 16 | 11.10 | odd | 2 | |||
363.3.h.n.251.1 | 16 | 33.29 | even | 10 | |||
363.3.h.n.251.4 | 16 | 11.7 | odd | 10 | |||
363.3.h.n.269.1 | 16 | 11.2 | odd | 10 | |||
363.3.h.n.269.4 | 16 | 33.2 | even | 10 | |||
363.3.h.o.251.1 | 16 | 11.4 | even | 5 | |||
363.3.h.o.251.4 | 16 | 33.26 | odd | 10 | |||
363.3.h.o.269.1 | 16 | 33.20 | odd | 10 | |||
363.3.h.o.269.4 | 16 | 11.9 | even | 5 |