Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,3,Mod(20,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 17]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.20");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.t (of order \(20\), degree \(8\), 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: | \(7.82018358714\) |
Analytic rank: | \(0\) |
Dimension: | \(432\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 20.18 | ||
Character | \(\chi\) | \(=\) | 287.20 |
Dual form | 287.3.t.a.244.18 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.62424 | − | 0.527747i | −0.812119 | − | 0.263874i | −0.126624 | − | 0.991951i | \(-0.540414\pi\) |
−0.685495 | + | 0.728077i | \(0.740414\pi\) | |||||||
\(3\) | 2.43233 | + | 2.43233i | 0.810778 | + | 0.810778i | 0.984750 | − | 0.173973i | \(-0.0556604\pi\) |
−0.173973 | + | 0.984750i | \(0.555660\pi\) | |||||||
\(4\) | −0.876434 | − | 0.636766i | −0.219108 | − | 0.159192i | ||||
\(5\) | −1.95820 | − | 1.42272i | −0.391641 | − | 0.284544i | 0.374487 | − | 0.927232i | \(-0.377819\pi\) |
−0.766127 | + | 0.642689i | \(0.777819\pi\) | |||||||
\(6\) | −2.66703 | − | 5.23435i | −0.444505 | − | 0.872391i | ||||
\(7\) | −2.80338 | + | 6.41413i | −0.400483 | + | 0.916304i | ||||
\(8\) | 5.10282 | + | 7.02344i | 0.637853 | + | 0.877929i | ||||
\(9\) | 2.83249i | 0.314721i | ||||||||
\(10\) | 2.42975 | + | 3.34427i | 0.242975 | + | 0.334427i | ||||
\(11\) | 2.58268 | − | 16.3064i | 0.234789 | − | 1.48240i | −0.535409 | − | 0.844593i | \(-0.679842\pi\) |
0.770198 | − | 0.637805i | \(-0.220158\pi\) | |||||||
\(12\) | −0.582951 | − | 3.68061i | −0.0485792 | − | 0.306717i | ||||
\(13\) | −16.2202 | + | 8.26459i | −1.24771 | + | 0.635738i | −0.947993 | − | 0.318292i | \(-0.896891\pi\) |
−0.299713 | + | 0.954029i | \(0.596891\pi\) | |||||||
\(14\) | 7.93840 | − | 8.93860i | 0.567028 | − | 0.638471i | ||||
\(15\) | −1.30248 | − | 8.22353i | −0.0868319 | − | 0.548235i | ||||
\(16\) | −3.24254 | − | 9.97950i | −0.202658 | − | 0.623719i | ||||
\(17\) | −0.652217 | + | 4.11794i | −0.0383657 | + | 0.242232i | −0.999417 | − | 0.0341380i | \(-0.989131\pi\) |
0.961051 | + | 0.276370i | \(0.0891314\pi\) | |||||||
\(18\) | 1.49484 | − | 4.60064i | 0.0830466 | − | 0.255591i | ||||
\(19\) | −15.2072 | − | 7.74843i | −0.800377 | − | 0.407812i | 0.00543424 | − | 0.999985i | \(-0.498270\pi\) |
−0.805811 | + | 0.592173i | \(0.798270\pi\) | |||||||
\(20\) | 0.810296 | + | 2.49384i | 0.0405148 | + | 0.124692i | ||||
\(21\) | −22.4201 | + | 8.78254i | −1.06762 | + | 0.418216i | ||||
\(22\) | −12.8005 | + | 25.1225i | −0.581842 | + | 1.14193i | ||||
\(23\) | −2.91227 | + | 8.96304i | −0.126620 | + | 0.389697i | −0.994193 | − | 0.107613i | \(-0.965679\pi\) |
0.867572 | + | 0.497311i | \(0.165679\pi\) | |||||||
\(24\) | −4.67157 | + | 29.4951i | −0.194649 | + | 1.22896i | ||||
\(25\) | −5.91499 | − | 18.2045i | −0.236600 | − | 0.728179i | ||||
\(26\) | 30.7070 | − | 4.86352i | 1.18104 | − | 0.187058i | ||||
\(27\) | 15.0014 | − | 15.0014i | 0.555609 | − | 0.555609i | ||||
\(28\) | 6.54128 | − | 3.83646i | 0.233617 | − | 0.137016i | ||||
\(29\) | −42.0610 | + | 6.66181i | −1.45038 | + | 0.229717i | −0.831393 | − | 0.555685i | \(-0.812456\pi\) |
−0.618986 | + | 0.785402i | \(0.712456\pi\) | |||||||
\(30\) | −2.22441 | + | 14.0443i | −0.0741469 | + | 0.468145i | ||||
\(31\) | −14.5331 | − | 20.0031i | −0.468809 | − | 0.645260i | 0.507497 | − | 0.861653i | \(-0.330571\pi\) |
−0.976306 | + | 0.216393i | \(0.930571\pi\) | |||||||
\(32\) | − | 16.8055i | − | 0.525170i | ||||||
\(33\) | 45.9445 | − | 33.3806i | 1.39226 | − | 1.01153i | ||||
\(34\) | 3.23259 | − | 6.34431i | 0.0950761 | − | 0.186597i | ||||
\(35\) | 14.6151 | − | 8.57175i | 0.417574 | − | 0.244907i | ||||
\(36\) | 1.80364 | − | 2.48249i | 0.0501010 | − | 0.0689581i | ||||
\(37\) | −24.4431 | − | 17.7589i | −0.660624 | − | 0.479971i | 0.206250 | − | 0.978499i | \(-0.433874\pi\) |
−0.866874 | + | 0.498528i | \(0.833874\pi\) | |||||||
\(38\) | 20.6108 | + | 20.6108i | 0.542390 | + | 0.542390i | ||||
\(39\) | −59.5551 | − | 19.3506i | −1.52705 | − | 0.496170i | ||||
\(40\) | − | 21.0132i | − | 0.525330i | ||||||
\(41\) | −9.16253 | + | 39.9631i | −0.223476 | + | 0.974709i | ||||
\(42\) | 41.0505 | − | 2.43282i | 0.977393 | − | 0.0579244i | ||||
\(43\) | 27.9604 | + | 9.08489i | 0.650242 | + | 0.211276i | 0.615521 | − | 0.788121i | \(-0.288946\pi\) |
0.0347212 | + | 0.999397i | \(0.488946\pi\) | |||||||
\(44\) | −12.6469 | + | 12.6469i | −0.287430 | + | 0.287430i | ||||
\(45\) | 4.02984 | − | 5.54659i | 0.0895519 | − | 0.123258i | ||||
\(46\) | 9.46044 | − | 13.0212i | 0.205662 | − | 0.283069i | ||||
\(47\) | −11.7888 | − | 23.1368i | −0.250825 | − | 0.492272i | 0.730922 | − | 0.682461i | \(-0.239090\pi\) |
−0.981748 | + | 0.190188i | \(0.939090\pi\) | |||||||
\(48\) | 16.3865 | − | 32.1604i | 0.341386 | − | 0.670008i | ||||
\(49\) | −33.2821 | − | 35.9625i | −0.679227 | − | 0.733929i | ||||
\(50\) | 32.6900i | 0.653801i | ||||||||
\(51\) | −11.6026 | + | 8.42979i | −0.227502 | + | 0.165290i | ||||
\(52\) | 19.4785 | + | 3.08509i | 0.374587 | + | 0.0593287i | ||||
\(53\) | −55.0878 | + | 8.72505i | −1.03939 | + | 0.164624i | −0.652724 | − | 0.757595i | \(-0.726374\pi\) |
−0.386668 | + | 0.922219i | \(0.626374\pi\) | |||||||
\(54\) | −32.2829 | + | 16.4489i | −0.597831 | + | 0.304610i | ||||
\(55\) | −28.2568 | + | 28.2568i | −0.513760 | + | 0.513760i | ||||
\(56\) | −59.3544 | + | 13.0408i | −1.05990 | + | 0.232872i | ||||
\(57\) | −18.1421 | − | 55.8356i | −0.318282 | − | 0.979573i | ||||
\(58\) | 71.8328 | + | 11.3772i | 1.23850 | + | 0.196159i | ||||
\(59\) | −58.4076 | − | 18.9778i | −0.989959 | − | 0.321657i | −0.231113 | − | 0.972927i | \(-0.574237\pi\) |
−0.758846 | + | 0.651270i | \(0.774237\pi\) | |||||||
\(60\) | −4.09493 | + | 8.03675i | −0.0682488 | + | 0.133946i | ||||
\(61\) | 12.9771 | + | 39.9393i | 0.212739 | + | 0.654743i | 0.999306 | + | 0.0372387i | \(0.0118562\pi\) |
−0.786568 | + | 0.617504i | \(0.788144\pi\) | |||||||
\(62\) | 13.0486 | + | 40.1596i | 0.210462 | + | 0.647735i | ||||
\(63\) | −18.1680 | − | 7.94055i | −0.288380 | − | 0.126041i | ||||
\(64\) | −21.8392 | + | 67.2141i | −0.341237 | + | 1.05022i | ||||
\(65\) | 43.5206 | + | 6.89298i | 0.669547 | + | 0.106046i | ||||
\(66\) | −92.2413 | + | 29.9710i | −1.39760 | + | 0.454107i | ||||
\(67\) | −7.11679 | − | 44.9337i | −0.106221 | − | 0.670652i | −0.982134 | − | 0.188183i | \(-0.939740\pi\) |
0.875913 | − | 0.482469i | \(-0.160260\pi\) | |||||||
\(68\) | 3.19379 | − | 3.19379i | 0.0469675 | − | 0.0469675i | ||||
\(69\) | −28.8847 | + | 14.7175i | −0.418619 | + | 0.213297i | ||||
\(70\) | −28.2621 | + | 6.20949i | −0.403744 | + | 0.0887070i | ||||
\(71\) | −12.3460 | + | 77.9496i | −0.173887 | + | 1.09788i | 0.734148 | + | 0.678989i | \(0.237582\pi\) |
−0.908036 | + | 0.418893i | \(0.862418\pi\) | |||||||
\(72\) | −19.8938 | + | 14.4537i | −0.276303 | + | 0.200746i | ||||
\(73\) | 44.2698 | 0.606436 | 0.303218 | − | 0.952921i | \(-0.401939\pi\) | ||||
0.303218 | + | 0.952921i | \(0.401939\pi\) | |||||||
\(74\) | 30.3292 | + | 41.7445i | 0.409854 | + | 0.564115i | ||||
\(75\) | 29.8921 | − | 58.6666i | 0.398562 | − | 0.782221i | ||||
\(76\) | 8.39412 | + | 16.4744i | 0.110449 | + | 0.216768i | ||||
\(77\) | 97.3510 | + | 62.2786i | 1.26430 | + | 0.808813i | ||||
\(78\) | 86.5195 | + | 62.8601i | 1.10922 | + | 0.805898i | ||||
\(79\) | 50.4344 | − | 50.4344i | 0.638411 | − | 0.638411i | −0.311753 | − | 0.950163i | \(-0.600916\pi\) |
0.950163 | + | 0.311753i | \(0.100916\pi\) | |||||||
\(80\) | −7.84847 | + | 24.1551i | −0.0981058 | + | 0.301939i | ||||
\(81\) | 98.4694 | 1.21567 | ||||||||
\(82\) | 35.9725 | − | 60.0741i | 0.438690 | − | 0.732611i | ||||
\(83\) | 108.387i | 1.30586i | 0.757417 | + | 0.652932i | \(0.226461\pi\) | ||||
−0.757417 | + | 0.652932i | \(0.773539\pi\) | |||||||
\(84\) | 25.2421 | + | 6.57902i | 0.300501 | + | 0.0783217i | ||||
\(85\) | 7.13584 | − | 7.13584i | 0.0839510 | − | 0.0839510i | ||||
\(86\) | −40.6199 | − | 29.5121i | −0.472324 | − | 0.343163i | ||||
\(87\) | −118.510 | − | 86.1026i | −1.36218 | − | 0.989685i | ||||
\(88\) | 127.706 | − | 65.0693i | 1.45120 | − | 0.739424i | ||||
\(89\) | 63.2480 | − | 124.131i | 0.710651 | − | 1.39473i | −0.199267 | − | 0.979945i | \(-0.563856\pi\) |
0.909919 | − | 0.414787i | \(-0.136144\pi\) | |||||||
\(90\) | −9.47261 | + | 6.88226i | −0.105251 | + | 0.0764695i | ||||
\(91\) | −7.53882 | − | 127.207i | −0.0828442 | − | 1.39788i | ||||
\(92\) | 8.25977 | − | 6.00108i | 0.0897801 | − | 0.0652291i | ||||
\(93\) | 13.3048 | − | 84.0034i | 0.143063 | − | 0.903263i | ||||
\(94\) | 6.93743 | + | 43.8012i | 0.0738024 | + | 0.465970i | ||||
\(95\) | 18.7549 | + | 36.8085i | 0.197420 | + | 0.387458i | ||||
\(96\) | 40.8765 | − | 40.8765i | 0.425796 | − | 0.425796i | ||||
\(97\) | 61.0180 | − | 9.66430i | 0.629051 | − | 0.0996319i | 0.166235 | − | 0.986086i | \(-0.446839\pi\) |
0.462816 | + | 0.886454i | \(0.346839\pi\) | |||||||
\(98\) | 35.0790 | + | 75.9762i | 0.357949 | + | 0.775268i | ||||
\(99\) | 46.1877 | + | 7.31541i | 0.466542 | + | 0.0738930i | ||||
\(100\) | −6.40790 | + | 19.7215i | −0.0640790 | + | 0.197215i | ||||
\(101\) | 6.39557 | + | 3.25870i | 0.0633225 | + | 0.0322644i | 0.485365 | − | 0.874312i | \(-0.338687\pi\) |
−0.422043 | + | 0.906576i | \(0.638687\pi\) | |||||||
\(102\) | 23.2942 | − | 7.56875i | 0.228375 | − | 0.0742034i | ||||
\(103\) | 21.9668 | + | 67.6069i | 0.213270 | + | 0.656378i | 0.999272 | + | 0.0381538i | \(0.0121477\pi\) |
−0.786002 | + | 0.618224i | \(0.787852\pi\) | |||||||
\(104\) | −140.815 | − | 71.7486i | −1.35399 | − | 0.689890i | ||||
\(105\) | 56.3981 | + | 14.6994i | 0.537125 | + | 0.139994i | ||||
\(106\) | 94.0803 | + | 14.9009i | 0.887550 | + | 0.140574i | ||||
\(107\) | 57.0550 | + | 175.597i | 0.533224 | + | 1.64110i | 0.747455 | + | 0.664313i | \(0.231276\pi\) |
−0.214230 | + | 0.976783i | \(0.568724\pi\) | |||||||
\(108\) | −22.7002 | + | 3.59535i | −0.210187 | + | 0.0332903i | ||||
\(109\) | 110.262 | + | 110.262i | 1.01158 | + | 1.01158i | 0.999932 | + | 0.0116437i | \(0.00370638\pi\) |
0.0116437 | + | 0.999932i | \(0.496294\pi\) | |||||||
\(110\) | 60.8082 | − | 30.9833i | 0.552802 | − | 0.281667i | ||||
\(111\) | −16.2581 | − | 102.649i | −0.146469 | − | 0.924769i | ||||
\(112\) | 73.0999 | + | 7.17830i | 0.652677 | + | 0.0640920i | ||||
\(113\) | 40.2742 | − | 29.2609i | 0.356409 | − | 0.258946i | −0.395144 | − | 0.918619i | \(-0.629305\pi\) |
0.751553 | + | 0.659673i | \(0.229305\pi\) | |||||||
\(114\) | 100.265i | 0.879516i | ||||||||
\(115\) | 18.4547 | − | 13.4081i | 0.160476 | − | 0.116592i | ||||
\(116\) | 41.1057 | + | 20.9444i | 0.354359 | + | 0.180555i | ||||
\(117\) | −23.4094 | − | 45.9435i | −0.200080 | − | 0.392679i | ||||
\(118\) | 84.8524 | + | 61.6489i | 0.719088 | + | 0.522448i | ||||
\(119\) | −24.5846 | − | 15.7276i | −0.206593 | − | 0.132164i | ||||
\(120\) | 51.1111 | − | 51.1111i | 0.425926 | − | 0.425926i | ||||
\(121\) | −144.150 | − | 46.8372i | −1.19132 | − | 0.387084i | ||||
\(122\) | − | 71.7196i | − | 0.587866i | ||||||
\(123\) | −119.490 | + | 74.9172i | −0.971462 | + | 0.609083i | ||||
\(124\) | 26.7855i | 0.216012i | ||||||||
\(125\) | −33.0162 | + | 101.614i | −0.264130 | + | 0.812908i | ||||
\(126\) | 25.3185 | + | 22.4854i | 0.200941 | + | 0.178456i | ||||
\(127\) | −114.846 | − | 83.4406i | −0.904300 | − | 0.657012i | 0.0352669 | − | 0.999378i | \(-0.488772\pi\) |
−0.939567 | + | 0.342366i | \(0.888772\pi\) | |||||||
\(128\) | 31.4321 | − | 43.2625i | 0.245563 | − | 0.337989i | ||||
\(129\) | 45.9116 | + | 90.1065i | 0.355904 | + | 0.698500i | ||||
\(130\) | −67.0500 | − | 34.1637i | −0.515770 | − | 0.262798i | ||||
\(131\) | 42.0860 | − | 30.5773i | 0.321267 | − | 0.233414i | −0.415449 | − | 0.909617i | \(-0.636375\pi\) |
0.736716 | + | 0.676202i | \(0.236375\pi\) | |||||||
\(132\) | −61.5230 | −0.466083 | ||||||||
\(133\) | 92.3309 | − | 75.8189i | 0.694217 | − | 0.570067i | ||||
\(134\) | −12.1542 | + | 76.7389i | −0.0907033 | + | 0.572678i | ||||
\(135\) | −50.7187 | + | 8.03305i | −0.375694 | + | 0.0595041i | ||||
\(136\) | −32.2502 | + | 16.4323i | −0.237134 | + | 0.120826i | ||||
\(137\) | 79.8900 | + | 79.8900i | 0.583139 | + | 0.583139i | 0.935764 | − | 0.352626i | \(-0.114711\pi\) |
−0.352626 | + | 0.935764i | \(0.614711\pi\) | |||||||
\(138\) | 54.6828 | − | 8.66090i | 0.396252 | − | 0.0627602i | ||||
\(139\) | −145.685 | + | 47.3359i | −1.04809 | + | 0.340546i | −0.781920 | − | 0.623379i | \(-0.785759\pi\) |
−0.266173 | + | 0.963925i | \(0.585759\pi\) | |||||||
\(140\) | −18.2674 | − | 1.79383i | −0.130481 | − | 0.0128131i | ||||
\(141\) | 27.6021 | − | 84.9507i | 0.195760 | − | 0.602487i | ||||
\(142\) | 61.1906 | − | 120.093i | 0.430919 | − | 0.845727i | ||||
\(143\) | 92.8741 | + | 285.837i | 0.649469 | + | 1.99886i | ||||
\(144\) | 28.2668 | − | 9.18445i | 0.196298 | − | 0.0637809i | ||||
\(145\) | 91.8418 | + | 46.7957i | 0.633392 | + | 0.322729i | ||||
\(146\) | −71.9047 | − | 23.3633i | −0.492498 | − | 0.160022i | ||||
\(147\) | 6.51962 | − | 168.426i | 0.0443511 | − | 1.14575i | ||||
\(148\) | 10.1144 | + | 31.1291i | 0.0683409 | + | 0.210332i | ||||
\(149\) | 13.2983 | + | 83.9623i | 0.0892504 | + | 0.563505i | 0.991274 | + | 0.131818i | \(0.0420815\pi\) |
−0.902023 | + | 0.431687i | \(0.857919\pi\) | |||||||
\(150\) | −79.5131 | + | 79.5131i | −0.530087 | + | 0.530087i | ||||
\(151\) | −127.159 | − | 249.564i | −0.842115 | − | 1.65274i | −0.754227 | − | 0.656614i | \(-0.771988\pi\) |
−0.0878885 | − | 0.996130i | \(-0.528012\pi\) | |||||||
\(152\) | −23.1788 | − | 146.345i | −0.152492 | − | 0.962799i | ||||
\(153\) | −11.6640 | − | 1.84740i | −0.0762355 | − | 0.0120745i | ||||
\(154\) | −125.254 | − | 152.532i | −0.813337 | − | 0.990468i | ||||
\(155\) | 59.8465i | 0.386107i | ||||||||
\(156\) | 39.8743 | + | 54.8822i | 0.255604 | + | 0.351809i | ||||
\(157\) | −89.0224 | + | 174.716i | −0.567022 | + | 1.11284i | 0.412397 | + | 0.911004i | \(0.364692\pi\) |
−0.979419 | + | 0.201839i | \(0.935308\pi\) | |||||||
\(158\) | −108.534 | + | 55.3009i | −0.686925 | + | 0.350006i | ||||
\(159\) | −155.214 | − | 112.770i | −0.976189 | − | 0.709243i | ||||
\(160\) | −23.9094 | + | 32.9085i | −0.149434 | + | 0.205678i | ||||
\(161\) | −49.3259 | − | 43.8065i | −0.306372 | − | 0.272090i | ||||
\(162\) | −159.938 | − | 51.9670i | −0.987271 | − | 0.320784i | ||||
\(163\) | −21.6132 | −0.132596 | −0.0662981 | − | 0.997800i | \(-0.521119\pi\) | ||||
−0.0662981 | + | 0.997800i | \(0.521119\pi\) | |||||||
\(164\) | 33.4775 | − | 29.1906i | 0.204131 | − | 0.177991i | ||||
\(165\) | −137.460 | −0.833090 | ||||||||
\(166\) | 57.2008 | − | 176.046i | 0.344583 | − | 1.06052i | ||||
\(167\) | −43.5634 | − | 43.5634i | −0.260859 | − | 0.260859i | 0.564544 | − | 0.825403i | \(-0.309052\pi\) |
−0.825403 | + | 0.564544i | \(0.809052\pi\) | |||||||
\(168\) | −176.089 | − | 112.650i | −1.04815 | − | 0.670536i | ||||
\(169\) | 95.4548 | − | 131.382i | 0.564821 | − | 0.777410i | ||||
\(170\) | −15.3562 | + | 7.82439i | −0.0903307 | + | 0.0460258i | ||||
\(171\) | 21.9474 | − | 43.0741i | 0.128347 | − | 0.251896i | ||||
\(172\) | −18.7205 | − | 25.7666i | −0.108840 | − | 0.149806i | ||||
\(173\) | 87.0206 | 0.503009 | 0.251505 | − | 0.967856i | \(-0.419075\pi\) | ||||
0.251505 | + | 0.967856i | \(0.419075\pi\) | |||||||
\(174\) | 147.048 | + | 202.395i | 0.845105 | + | 1.16319i | ||||
\(175\) | 133.348 | + | 13.0946i | 0.761988 | + | 0.0748261i | ||||
\(176\) | −171.104 | + | 27.1002i | −0.972181 | + | 0.153978i | ||||
\(177\) | −95.9065 | − | 188.227i | −0.541844 | − | 1.06343i | ||||
\(178\) | −168.240 | + | 168.240i | −0.945167 | + | 0.945167i | ||||
\(179\) | 48.1962 | + | 304.299i | 0.269252 | + | 1.69999i | 0.637652 | + | 0.770325i | \(0.279906\pi\) |
−0.368399 | + | 0.929668i | \(0.620094\pi\) | |||||||
\(180\) | −7.06377 | + | 2.29516i | −0.0392432 | + | 0.0127509i | ||||
\(181\) | 27.7646 | − | 175.299i | 0.153396 | − | 0.968503i | −0.784132 | − | 0.620594i | \(-0.786892\pi\) |
0.937528 | − | 0.347909i | \(-0.113108\pi\) | |||||||
\(182\) | −54.8883 | + | 210.593i | −0.301584 | + | 1.15711i | ||||
\(183\) | −65.5812 | + | 128.710i | −0.358367 | + | 0.703335i | ||||
\(184\) | −77.8121 | + | 25.2827i | −0.422892 | + | 0.137406i | ||||
\(185\) | 22.5986 | + | 69.5512i | 0.122154 | + | 0.375953i | ||||
\(186\) | −65.9428 | + | 129.420i | −0.354531 | + | 0.695807i | ||||
\(187\) | 65.4642 | + | 21.2706i | 0.350076 | + | 0.113747i | ||||
\(188\) | −4.40064 | + | 27.7846i | −0.0234077 | + | 0.147790i | ||||
\(189\) | 54.1664 | + | 138.276i | 0.286595 | + | 0.731619i | ||||
\(190\) | −11.0368 | − | 69.6836i | −0.0580884 | − | 0.366756i | ||||
\(191\) | −43.7162 | − | 43.7162i | −0.228880 | − | 0.228880i | 0.583344 | − | 0.812225i | \(-0.301744\pi\) |
−0.812225 | + | 0.583344i | \(0.801744\pi\) | |||||||
\(192\) | −216.607 | + | 110.367i | −1.12816 | + | 0.574827i | ||||
\(193\) | −268.027 | + | 42.4514i | −1.38874 | + | 0.219955i | −0.805622 | − | 0.592430i | \(-0.798169\pi\) |
−0.583121 | + | 0.812385i | \(0.698169\pi\) | |||||||
\(194\) | −104.208 | − | 16.5049i | −0.537155 | − | 0.0850770i | ||||
\(195\) | 89.0905 | + | 122.623i | 0.456874 | + | 0.628834i | ||||
\(196\) | 6.26985 | + | 52.7117i | 0.0319890 | + | 0.268937i | ||||
\(197\) | −226.202 | − | 311.340i | −1.14823 | − | 1.58041i | −0.747569 | − | 0.664184i | \(-0.768779\pi\) |
−0.400665 | − | 0.916225i | \(-0.631221\pi\) | |||||||
\(198\) | −71.1591 | − | 36.2574i | −0.359390 | − | 0.183118i | ||||
\(199\) | −119.505 | − | 234.541i | −0.600526 | − | 1.17860i | −0.968559 | − | 0.248785i | \(-0.919969\pi\) |
0.368033 | − | 0.929813i | \(-0.380031\pi\) | |||||||
\(200\) | 97.6748 | − | 134.438i | 0.488374 | − | 0.672189i | ||||
\(201\) | 91.9833 | − | 126.604i | 0.457628 | − | 0.629871i | ||||
\(202\) | −8.66816 | − | 8.66816i | −0.0429117 | − | 0.0429117i | ||||
\(203\) | 75.1833 | − | 288.460i | 0.370361 | − | 1.42099i | ||||
\(204\) | 15.5367 | 0.0761604 | ||||||||
\(205\) | 74.7983 | − | 65.2201i | 0.364870 | − | 0.318147i | ||||
\(206\) | − | 121.403i | − | 0.589334i | ||||||
\(207\) | −25.3877 | − | 8.24898i | −0.122646 | − | 0.0398501i | ||||
\(208\) | 135.071 | + | 135.071i | 0.649380 | + | 0.649380i | ||||
\(209\) | −165.624 | + | 227.962i | −0.792460 | + | 1.09073i | ||||
\(210\) | −83.8464 | − | 53.6393i | −0.399269 | − | 0.255425i | ||||
\(211\) | 21.2206 | − | 10.8124i | 0.100572 | − | 0.0512438i | −0.402981 | − | 0.915208i | \(-0.632026\pi\) |
0.503553 | + | 0.863965i | \(0.332026\pi\) | |||||||
\(212\) | 53.8366 | + | 27.4311i | 0.253946 | + | 0.129392i | ||||
\(213\) | −219.629 | + | 159.570i | −1.03112 | + | 0.749154i | ||||
\(214\) | − | 315.322i | − | 1.47347i | ||||||
\(215\) | −41.8269 | − | 57.5698i | −0.194544 | − | 0.267767i | ||||
\(216\) | 181.911 | + | 28.8119i | 0.842182 | + | 0.133389i | ||||
\(217\) | 169.044 | − | 37.1408i | 0.779005 | − | 0.171156i | ||||
\(218\) | −120.901 | − | 237.282i | −0.554592 | − | 1.08845i | ||||
\(219\) | 107.679 | + | 107.679i | 0.491685 | + | 0.491685i | ||||
\(220\) | 42.7582 | − | 6.77223i | 0.194355 | − | 0.0307829i | ||||
\(221\) | −23.4540 | − | 72.1840i | −0.106127 | − | 0.326624i | ||||
\(222\) | −27.7659 | + | 175.307i | −0.125072 | + | 0.789673i | ||||
\(223\) | 108.225 | + | 35.1643i | 0.485312 | + | 0.157688i | 0.541446 | − | 0.840736i | \(-0.317877\pi\) |
−0.0561333 | + | 0.998423i | \(0.517877\pi\) | |||||||
\(224\) | 107.792 | + | 47.1121i | 0.481216 | + | 0.210322i | ||||
\(225\) | 51.5640 | − | 16.7542i | 0.229173 | − | 0.0744630i | ||||
\(226\) | −80.8573 | + | 26.2721i | −0.357776 | + | 0.116248i | ||||
\(227\) | 105.919 | + | 53.9683i | 0.466603 | + | 0.237746i | 0.671453 | − | 0.741047i | \(-0.265671\pi\) |
−0.204850 | + | 0.978793i | \(0.565671\pi\) | |||||||
\(228\) | −19.6539 | + | 60.4885i | −0.0862014 | + | 0.265301i | ||||
\(229\) | 15.5903 | − | 98.4334i | 0.0680800 | − | 0.429840i | −0.929982 | − | 0.367606i | \(-0.880177\pi\) |
0.998062 | − | 0.0622340i | \(-0.0198225\pi\) | |||||||
\(230\) | −37.0509 | + | 12.0386i | −0.161091 | + | 0.0523416i | ||||
\(231\) | 85.3077 | + | 388.273i | 0.369297 | + | 1.68083i | ||||
\(232\) | −261.419 | − | 261.419i | −1.12680 | − | 1.12680i | ||||
\(233\) | −92.4098 | − | 181.364i | −0.396609 | − | 0.778388i | 0.603207 | − | 0.797585i | \(-0.293889\pi\) |
−0.999816 | + | 0.0191964i | \(0.993889\pi\) | |||||||
\(234\) | 13.7759 | + | 86.9774i | 0.0588713 | + | 0.371698i | ||||
\(235\) | −9.83229 | + | 62.0787i | −0.0418396 | + | 0.264165i | ||||
\(236\) | 39.1060 | + | 53.8248i | 0.165703 | + | 0.228071i | ||||
\(237\) | 245.347 | 1.03522 | ||||||||
\(238\) | 31.6310 | + | 38.5197i | 0.132904 | + | 0.161848i | ||||
\(239\) | 163.667 | + | 83.3924i | 0.684798 | + | 0.348922i | 0.761530 | − | 0.648130i | \(-0.224449\pi\) |
−0.0767318 | + | 0.997052i | \(0.524449\pi\) | |||||||
\(240\) | −77.8433 | + | 39.6632i | −0.324347 | + | 0.165263i | ||||
\(241\) | −128.281 | − | 93.2014i | −0.532285 | − | 0.386728i | 0.288927 | − | 0.957351i | \(-0.406702\pi\) |
−0.821212 | + | 0.570623i | \(0.806702\pi\) | |||||||
\(242\) | 209.416 | + | 152.150i | 0.865355 | + | 0.628717i | ||||
\(243\) | 104.498 | + | 104.498i | 0.430031 | + | 0.430031i | ||||
\(244\) | 14.0585 | − | 43.2675i | 0.0576167 | − | 0.177326i | ||||
\(245\) | 14.0086 | + | 117.773i | 0.0571781 | + | 0.480706i | ||||
\(246\) | 233.617 | − | 58.6230i | 0.949664 | − | 0.238305i | ||||
\(247\) | 310.700 | 1.25790 | ||||||||
\(248\) | 66.3305 | − | 204.144i | 0.267462 | − | 0.823163i | ||||
\(249\) | −263.633 | + | 263.633i | −1.05877 | + | 1.05877i | ||||
\(250\) | 107.253 | − | 147.620i | 0.429010 | − | 0.590482i | ||||
\(251\) | −245.438 | − | 178.321i | −0.977839 | − | 0.710442i | −0.0206147 | − | 0.999787i | \(-0.506562\pi\) |
−0.957225 | + | 0.289346i | \(0.906562\pi\) | |||||||
\(252\) | 10.8667 | + | 18.5281i | 0.0431220 | + | 0.0735243i | ||||
\(253\) | 138.633 | + | 70.6372i | 0.547958 | + | 0.279198i | ||||
\(254\) | 142.502 | + | 196.137i | 0.561031 | + | 0.772193i | ||||
\(255\) | 34.7135 | 0.136131 | ||||||||
\(256\) | 154.818 | − | 112.482i | 0.604757 | − | 0.439382i | ||||
\(257\) | −346.715 | − | 54.9143i | −1.34909 | − | 0.213674i | −0.560274 | − | 0.828307i | \(-0.689304\pi\) |
−0.788813 | + | 0.614633i | \(0.789304\pi\) | |||||||
\(258\) | −27.0179 | − | 170.584i | −0.104720 | − | 0.661179i | ||||
\(259\) | 182.431 | − | 106.996i | 0.704369 | − | 0.413112i | ||||
\(260\) | −33.7537 | − | 33.7537i | −0.129822 | − | 0.129822i | ||||
\(261\) | −18.8695 | − | 119.137i | −0.0722970 | − | 0.456465i | ||||
\(262\) | −84.4948 | + | 27.4540i | −0.322499 | + | 0.104786i | ||||
\(263\) | 49.0924 | + | 7.77547i | 0.186663 | + | 0.0295645i | 0.249066 | − | 0.968487i | \(-0.419876\pi\) |
−0.0624029 | + | 0.998051i | \(0.519876\pi\) | |||||||
\(264\) | 468.893 | + | 152.353i | 1.77611 | + | 0.577094i | ||||
\(265\) | 120.286 | + | 61.2890i | 0.453911 | + | 0.231279i | ||||
\(266\) | −189.981 | + | 74.4205i | −0.714213 | + | 0.279776i | ||||
\(267\) | 455.768 | − | 148.088i | 1.70700 | − | 0.554637i | ||||
\(268\) | −22.3749 | + | 43.9131i | −0.0834883 | + | 0.163855i | ||||
\(269\) | −23.2917 | − | 7.56792i | −0.0865861 | − | 0.0281335i | 0.265404 | − | 0.964137i | \(-0.414495\pi\) |
−0.351990 | + | 0.936004i | \(0.614495\pi\) | |||||||
\(270\) | 86.6186 | + | 13.7190i | 0.320810 | + | 0.0508113i | ||||
\(271\) | −381.826 | + | 124.063i | −1.40895 | + | 0.457797i | −0.912075 | − | 0.410024i | \(-0.865520\pi\) |
−0.496878 | + | 0.867820i | \(0.665520\pi\) | |||||||
\(272\) | 43.2098 | − | 6.84376i | 0.158860 | − | 0.0251609i | ||||
\(273\) | 291.073 | − | 327.747i | 1.06620 | − | 1.20054i | ||||
\(274\) | −87.5987 | − | 171.922i | −0.319703 | − | 0.627453i | ||||
\(275\) | −312.126 | + | 49.4358i | −1.13500 | + | 0.179767i | ||||
\(276\) | 34.6871 | + | 5.49390i | 0.125678 | + | 0.0199054i | ||||
\(277\) | 284.357 | − | 206.597i | 1.02656 | − | 0.745838i | 0.0589414 | − | 0.998261i | \(-0.481227\pi\) |
0.967617 | + | 0.252423i | \(0.0812275\pi\) | |||||||
\(278\) | 261.609 | 0.941038 | ||||||||
\(279\) | 56.6585 | − | 41.1648i | 0.203077 | − | 0.147544i | ||||
\(280\) | 134.781 | + | 58.9080i | 0.481362 | + | 0.210386i | ||||
\(281\) | −158.080 | + | 80.5456i | −0.562561 | + | 0.286639i | −0.712055 | − | 0.702123i | \(-0.752235\pi\) |
0.149494 | + | 0.988763i | \(0.452235\pi\) | |||||||
\(282\) | −89.6650 | + | 123.413i | −0.317961 | + | 0.437636i | ||||
\(283\) | −192.029 | + | 264.306i | −0.678549 | + | 0.933942i | −0.999915 | − | 0.0130125i | \(-0.995858\pi\) |
0.321366 | + | 0.946955i | \(0.395858\pi\) | |||||||
\(284\) | 60.4562 | − | 60.4562i | 0.212874 | − | 0.212874i | ||||
\(285\) | −43.9124 | + | 135.149i | −0.154079 | + | 0.474206i | ||||
\(286\) | − | 513.282i | − | 1.79469i | ||||||
\(287\) | −230.642 | − | 170.801i | −0.803632 | − | 0.595127i | ||||
\(288\) | 47.6013 | 0.165282 | ||||||||
\(289\) | 258.323 | + | 83.9343i | 0.893852 | + | 0.290430i | ||||
\(290\) | −124.477 | − | 124.477i | −0.429230 | − | 0.429230i | ||||
\(291\) | 171.923 | + | 124.909i | 0.590800 | + | 0.429241i | ||||
\(292\) | −38.7996 | − | 28.1895i | −0.132875 | − | 0.0965395i | ||||
\(293\) | 37.0562 | + | 72.7270i | 0.126472 | + | 0.248215i | 0.945557 | − | 0.325457i | \(-0.105518\pi\) |
−0.819085 | + | 0.573672i | \(0.805518\pi\) | |||||||
\(294\) | −99.4757 | + | 270.123i | −0.338353 | + | 0.918787i | ||||
\(295\) | 87.3739 | + | 120.260i | 0.296183 | + | 0.407661i | ||||
\(296\) | − | 262.295i | − | 0.886133i | ||||||
\(297\) | −205.875 | − | 283.363i | −0.693183 | − | 0.954084i | ||||
\(298\) | 22.7112 | − | 143.393i | 0.0762121 | − | 0.481184i | ||||
\(299\) | −26.8384 | − | 169.451i | −0.0897604 | − | 0.566725i | ||||
\(300\) | −63.5554 | + | 32.3831i | −0.211851 | + | 0.107944i | ||||
\(301\) | −136.655 | + | 153.873i | −0.454004 | + | 0.511207i | ||||
\(302\) | 74.8303 | + | 472.460i | 0.247783 | + | 1.56444i | ||||
\(303\) | 7.62990 | + | 23.4824i | 0.0251812 | + | 0.0774997i | ||||
\(304\) | −28.0157 | + | 176.884i | −0.0921570 | + | 0.581856i | ||||
\(305\) | 31.4106 | − | 96.6720i | 0.102986 | − | 0.316957i | ||||
\(306\) | 17.9702 | + | 9.15628i | 0.0587261 | + | 0.0299225i | ||||
\(307\) | −115.157 | − | 354.416i | −0.375104 | − | 1.15445i | −0.943409 | − | 0.331632i | \(-0.892401\pi\) |
0.568305 | − | 0.822818i | \(-0.307599\pi\) | |||||||
\(308\) | −45.6648 | − | 116.573i | −0.148262 | − | 0.378484i | ||||
\(309\) | −111.012 | + | 217.873i | −0.359262 | + | 0.705092i | ||||
\(310\) | 31.5838 | − | 97.2051i | 0.101883 | − | 0.313565i | ||||
\(311\) | −70.5136 | + | 445.205i | −0.226732 | + | 1.43153i | 0.567229 | + | 0.823560i | \(0.308015\pi\) |
−0.793961 | + | 0.607969i | \(0.791985\pi\) | |||||||
\(312\) | −167.991 | − | 517.024i | −0.538434 | − | 1.65713i | ||||
\(313\) | −501.324 | + | 79.4019i | −1.60167 | + | 0.253680i | −0.892398 | − | 0.451250i | \(-0.850978\pi\) |
−0.709277 | + | 0.704930i | \(0.750978\pi\) | |||||||
\(314\) | 236.800 | − | 236.800i | 0.754139 | − | 0.754139i | ||||
\(315\) | 24.2794 | + | 41.3971i | 0.0770775 | + | 0.131419i | ||||
\(316\) | −76.3174 | + | 12.0875i | −0.241511 | + | 0.0382516i | ||||
\(317\) | −33.3418 | + | 210.512i | −0.105179 | + | 0.664076i | 0.877614 | + | 0.479368i | \(0.159134\pi\) |
−0.982793 | + | 0.184708i | \(0.940866\pi\) | |||||||
\(318\) | 192.591 | + | 265.079i | 0.605632 | + | 0.833581i | ||||
\(319\) | 703.068i | 2.20397i | ||||||||
\(320\) | 138.392 | − | 100.548i | 0.432475 | − | 0.314212i | ||||
\(321\) | −288.334 | + | 565.888i | −0.898238 | + | 1.76289i | ||||
\(322\) | 56.9983 | + | 97.1838i | 0.177013 | + | 0.301813i | ||||
\(323\) | 41.8259 | − | 57.5685i | 0.129492 | − | 0.178231i | ||||
\(324\) | −86.3019 | − | 62.7020i | −0.266364 | − | 0.193525i | ||||
\(325\) | 246.395 | + | 246.395i | 0.758138 | + | 0.758138i | ||||
\(326\) | 35.1050 | + | 11.4063i | 0.107684 | + | 0.0349886i | ||||
\(327\) | 536.387i | 1.64033i | ||||||||
\(328\) | −327.433 | + | 139.572i | −0.998271 | + | 0.425525i | ||||
\(329\) | 181.451 | − | 10.7535i | 0.551522 | − | 0.0326855i | ||||
\(330\) | 223.268 | + | 72.5440i | 0.676568 | + | 0.219830i | ||||
\(331\) | 329.880 | − | 329.880i | 0.996615 | − | 0.996615i | −0.00337884 | − | 0.999994i | \(-0.501076\pi\) |
0.999994 | + | 0.00337884i | \(0.00107552\pi\) | |||||||
\(332\) | 69.0170 | − | 94.9938i | 0.207883 | − | 0.286126i | ||||
\(333\) | 50.3021 | − | 69.2348i | 0.151057 | − | 0.207912i | ||||
\(334\) | 47.7669 | + | 93.7478i | 0.143015 | + | 0.280682i | ||||
\(335\) | −49.9918 | + | 98.1144i | −0.149229 | + | 0.292879i | ||||
\(336\) | 160.343 | + | 195.263i | 0.477212 | + | 0.581141i | ||||
\(337\) | − | 322.166i | − | 0.955981i | −0.878365 | − | 0.477990i | \(-0.841365\pi\) | ||
0.878365 | − | 0.477990i | \(-0.158635\pi\) | |||||||
\(338\) | −224.378 | + | 163.020i | −0.663840 | + | 0.482308i | ||||
\(339\) | 169.133 | + | 26.7880i | 0.498916 | + | 0.0790206i | ||||
\(340\) | −10.7980 | + | 1.71023i | −0.0317587 | + | 0.00503008i | ||||
\(341\) | −363.712 | + | 185.320i | −1.06660 | + | 0.543462i | ||||
\(342\) | −58.3800 | + | 58.3800i | −0.170702 | + | 0.170702i | ||||
\(343\) | 323.971 | − | 112.659i | 0.944521 | − | 0.328452i | ||||
\(344\) | 78.8700 | + | 242.737i | 0.229273 | + | 0.705630i | ||||
\(345\) | 77.5010 | + | 12.2749i | 0.224640 | + | 0.0355796i | ||||
\(346\) | −141.342 | − | 45.9249i | −0.408504 | − | 0.132731i | ||||
\(347\) | −18.0637 | + | 35.4520i | −0.0520567 | + | 0.102167i | −0.915569 | − | 0.402160i | \(-0.868259\pi\) |
0.863513 | + | 0.504327i | \(0.168259\pi\) | |||||||
\(348\) | 49.0390 | + | 150.926i | 0.140917 | + | 0.433697i | ||||
\(349\) | −76.8828 | − | 236.621i | −0.220295 | − | 0.677997i | −0.998735 | − | 0.0502789i | \(-0.983989\pi\) |
0.778441 | − | 0.627718i | \(-0.216011\pi\) | |||||||
\(350\) | −209.678 | − | 91.6426i | −0.599080 | − | 0.261836i | ||||
\(351\) | −119.345 | + | 367.307i | −0.340015 | + | 1.04646i | ||||
\(352\) | −274.036 | − | 43.4031i | −0.778512 | − | 0.123304i | ||||
\(353\) | 403.014 | − | 130.947i | 1.14168 | − | 0.370956i | 0.323679 | − | 0.946167i | \(-0.395080\pi\) |
0.818005 | + | 0.575211i | \(0.195080\pi\) | |||||||
\(354\) | 56.4387 | + | 356.340i | 0.159431 | + | 1.00661i | ||||
\(355\) | 135.076 | − | 135.076i | 0.380497 | − | 0.380497i | ||||
\(356\) | −134.475 | + | 68.5185i | −0.377739 | + | 0.192468i | ||||
\(357\) | −21.5432 | − | 98.0525i | −0.0603451 | − | 0.274657i | ||||
\(358\) | 82.3107 | − | 519.689i | 0.229918 | − | 1.45165i | ||||
\(359\) | 374.131 | − | 271.822i | 1.04215 | − | 0.757165i | 0.0714442 | − | 0.997445i | \(-0.477239\pi\) |
0.970704 | + | 0.240280i | \(0.0772392\pi\) | |||||||
\(360\) | 59.5197 | 0.165332 | ||||||||
\(361\) | −40.9711 | − | 56.3919i | −0.113493 | − | 0.156210i | ||||
\(362\) | −137.610 | + | 270.075i | −0.380138 | + | 0.746063i | ||||
\(363\) | −236.697 | − | 464.545i | −0.652059 | − | 1.27974i | ||||
\(364\) | −74.3939 | + | 116.289i | −0.204379 | + | 0.319475i | ||||
\(365\) | −86.6893 | − | 62.9834i | −0.237505 | − | 0.172557i | ||||
\(366\) | 174.446 | − | 174.446i | 0.476628 | − | 0.476628i | ||||
\(367\) | −73.9727 | + | 227.664i | −0.201560 | + | 0.620339i | 0.798277 | + | 0.602291i | \(0.205745\pi\) |
−0.999837 | + | 0.0180483i | \(0.994255\pi\) | |||||||
\(368\) | 98.8898 | 0.268722 | ||||||||
\(369\) | −113.195 | − | 25.9528i | −0.306762 | − | 0.0703328i | ||||
\(370\) | − | 124.894i | − | 0.337552i | ||||||
\(371\) | 98.4685 | − | 377.800i | 0.265414 | − | 1.01833i | ||||
\(372\) | −65.1514 | + | 65.1514i | −0.175138 | + | 0.175138i | ||||
\(373\) | −26.1492 | − | 18.9985i | −0.0701051 | − | 0.0509343i | 0.552181 | − | 0.833724i | \(-0.313796\pi\) |
−0.622286 | + | 0.782790i | \(0.713796\pi\) | |||||||
\(374\) | −95.1040 | − | 69.0971i | −0.254289 | − | 0.184752i | ||||
\(375\) | −327.465 | + | 166.852i | −0.873239 | + | 0.444937i | ||||
\(376\) | 102.344 | − | 200.861i | 0.272191 | − | 0.534204i | ||||
\(377\) | 627.179 | − | 455.672i | 1.66361 | − | 1.20868i | ||||
\(378\) | −15.0045 | − | 253.179i | −0.0396943 | − | 0.669786i | ||||
\(379\) | −597.217 | + | 433.904i | −1.57577 | + | 1.14486i | −0.654421 | + | 0.756130i | \(0.727088\pi\) |
−0.921350 | + | 0.388735i | \(0.872912\pi\) | |||||||
\(380\) | 7.00102 | − | 44.2027i | 0.0184237 | − | 0.116323i | ||||
\(381\) | −76.3887 | − | 482.299i | −0.200495 | − | 1.26588i | ||||
\(382\) | 47.9344 | + | 94.0765i | 0.125483 | + | 0.246274i | ||||
\(383\) | −203.752 | + | 203.752i | −0.531991 | + | 0.531991i | −0.921164 | − | 0.389174i | \(-0.872761\pi\) |
0.389174 | + | 0.921164i | \(0.372761\pi\) | |||||||
\(384\) | 181.682 | − | 28.7756i | 0.473131 | − | 0.0749365i | ||||
\(385\) | −102.028 | − | 260.457i | −0.265008 | − | 0.676512i | ||||
\(386\) | 457.744 | + | 72.4995i | 1.18587 | + | 0.187823i | ||||
\(387\) | −25.7329 | + | 79.1976i | −0.0664932 | + | 0.204645i | ||||
\(388\) | −59.6321 | − | 30.3841i | −0.153691 | − | 0.0783095i | ||||
\(389\) | 181.836 | − | 59.0822i | 0.467446 | − | 0.151882i | −0.0658175 | − | 0.997832i | \(-0.520966\pi\) |
0.533263 | + | 0.845949i | \(0.320966\pi\) | |||||||
\(390\) | −79.9905 | − | 246.186i | −0.205104 | − | 0.631245i | ||||
\(391\) | −35.0098 | − | 17.8384i | −0.0895392 | − | 0.0456225i | ||||
\(392\) | 82.7476 | − | 417.265i | 0.211091 | − | 1.06445i | ||||
\(393\) | 176.741 | + | 27.9931i | 0.449723 | + | 0.0712292i | ||||
\(394\) | 203.097 | + | 625.069i | 0.515475 | + | 1.58647i | ||||
\(395\) | −170.515 | + | 27.0069i | −0.431683 | + | 0.0683719i | ||||
\(396\) | −35.8222 | − | 35.8222i | −0.0904602 | − | 0.0904602i | ||||
\(397\) | 320.160 | − | 163.130i | 0.806448 | − | 0.410906i | −0.00161715 | − | 0.999999i | \(-0.500515\pi\) |
0.808065 | + | 0.589093i | \(0.200515\pi\) | |||||||
\(398\) | 70.3257 | + | 444.019i | 0.176698 | + | 1.11562i | ||||
\(399\) | 408.996 | + | 40.1628i | 1.02505 | + | 0.100659i | ||||
\(400\) | −162.492 | + | 118.057i | −0.406230 | + | 0.295143i | ||||
\(401\) | − | 557.891i | − | 1.39125i | −0.718405 | − | 0.695625i | \(-0.755127\pi\) | ||
0.718405 | − | 0.695625i | \(-0.244873\pi\) | |||||||
\(402\) | −216.218 | + | 157.091i | −0.537855 | + | 0.390775i | ||||
\(403\) | 401.046 | + | 204.343i | 0.995152 | + | 0.507055i | ||||
\(404\) | −3.53026 | − | 6.92852i | −0.00873826 | − | 0.0171498i | ||||
\(405\) | −192.823 | − | 140.094i | −0.476106 | − | 0.345912i | ||||
\(406\) | −274.350 | + | 428.850i | −0.675738 | + | 1.05628i | ||||
\(407\) | −352.713 | + | 352.713i | −0.866616 | + | 0.866616i | ||||
\(408\) | −118.412 | − | 38.4744i | −0.290226 | − | 0.0943001i | ||||
\(409\) | − | 468.506i | − | 1.14549i | −0.819733 | − | 0.572745i | \(-0.805878\pi\) | ||
0.819733 | − | 0.572745i | \(-0.194122\pi\) | |||||||
\(410\) | −155.910 | + | 66.4585i | −0.380268 | + | 0.162094i | ||||
\(411\) | 388.638i | 0.945592i | ||||||||
\(412\) | 23.7974 | − | 73.2408i | 0.0577606 | − | 0.177769i | ||||
\(413\) | 285.465 | − | 321.432i | 0.691198 | − | 0.778286i | ||||
\(414\) | 36.8824 | + | 26.7966i | 0.0890878 | + | 0.0647261i | ||||
\(415\) | 154.204 | − | 212.243i | 0.371575 | − | 0.511429i | ||||
\(416\) | 138.890 | + | 272.587i | 0.333871 | + | 0.655258i | ||||
\(417\) | −469.491 | − | 239.218i | −1.12588 | − | 0.573663i | ||||
\(418\) | 389.319 | − | 282.857i | 0.931386 | − | 0.676692i | ||||
\(419\) | 587.040 | 1.40105 | 0.700525 | − | 0.713628i | \(-0.252949\pi\) | ||||
0.700525 | + | 0.713628i | \(0.252949\pi\) | |||||||
\(420\) | −40.0691 | − | 48.7955i | −0.0954026 | − | 0.116180i | ||||
\(421\) | −31.0357 | + | 195.952i | −0.0737190 | + | 0.465443i | 0.923020 | + | 0.384752i | \(0.125713\pi\) |
−0.996739 | + | 0.0806916i | \(0.974287\pi\) | |||||||
\(422\) | −40.1736 | + | 6.36287i | −0.0951980 | + | 0.0150779i | ||||
\(423\) | 65.5348 | − | 33.3916i | 0.154929 | − | 0.0789401i | ||||
\(424\) | −342.383 | − | 342.383i | −0.807507 | − | 0.807507i | ||||
\(425\) | 78.8228 | − | 12.4843i | 0.185465 | − | 0.0293748i | ||||
\(426\) | 440.943 | − | 143.271i | 1.03508 | − | 0.336317i | ||||
\(427\) | −292.556 | − | 28.7285i | −0.685142 | − | 0.0672799i | ||||
\(428\) | 61.8095 | − | 190.230i | 0.144415 | − | 0.444463i | ||||
\(429\) | −469.350 | + | 921.152i | −1.09406 | + | 2.14721i | ||||
\(430\) | 37.5546 | + | 115.581i | 0.0873363 | + | 0.268793i | ||||
\(431\) | 419.235 | − | 136.218i | 0.972703 | − | 0.316050i | 0.220797 | − | 0.975320i | \(-0.429134\pi\) |
0.751907 | + | 0.659269i | \(0.229134\pi\) | |||||||
\(432\) | −198.350 | − | 101.064i | −0.459142 | − | 0.233945i | ||||
\(433\) | 311.757 | + | 101.296i | 0.719993 | + | 0.233940i | 0.646020 | − | 0.763321i | \(-0.276432\pi\) |
0.0739726 | + | 0.997260i | \(0.476432\pi\) | |||||||
\(434\) | −294.169 | − | 28.8869i | −0.677808 | − | 0.0665598i | ||||
\(435\) | 109.567 | + | 337.213i | 0.251878 | + | 0.775202i | ||||
\(436\) | −26.4261 | − | 166.848i | −0.0606104 | − | 0.382679i | ||||
\(437\) | 113.737 | − | 113.737i | 0.260267 | − | 0.260267i | ||||
\(438\) | −118.069 | − | 231.724i | −0.269564 | − | 0.529049i | ||||
\(439\) | 105.862 | + | 668.385i | 0.241143 | + | 1.52252i | 0.749868 | + | 0.661588i | \(0.230117\pi\) |
−0.508724 | + | 0.860929i | \(0.669883\pi\) | |||||||
\(440\) | −342.649 | − | 54.2703i | −0.778748 | − | 0.123342i | ||||
\(441\) | 101.863 | − | 94.2713i | 0.230983 | − | 0.213767i | ||||
\(442\) | 129.622i | 0.293262i | ||||||||
\(443\) | 329.012 | + | 452.847i | 0.742692 | + | 1.02223i | 0.998459 | + | 0.0554893i | \(0.0176719\pi\) |
−0.255767 | + | 0.966738i | \(0.582328\pi\) | |||||||
\(444\) | −51.1146 | + | 100.318i | −0.115123 | + | 0.225941i | ||||
\(445\) | −300.456 | + | 153.090i | −0.675182 | + | 0.344022i | ||||
\(446\) | −157.225 | − | 114.231i | −0.352522 | − | 0.256122i | ||||
\(447\) | −171.878 | + | 236.570i | −0.384515 | + | 0.529240i | ||||
\(448\) | −369.896 | − | 328.506i | −0.825661 | − | 0.733272i | ||||
\(449\) | 497.822 | + | 161.752i | 1.10873 | + | 0.360250i | 0.805458 | − | 0.592653i | \(-0.201920\pi\) |
0.303276 | + | 0.952903i | \(0.401920\pi\) | |||||||
\(450\) | −92.5942 | −0.205765 | ||||||||
\(451\) | 627.989 | + | 252.619i | 1.39244 | + | 0.560132i | ||||
\(452\) | −53.9300 | −0.119314 | ||||||||
\(453\) | 297.730 | − | 916.318i | 0.657240 | − | 2.02278i | ||||
\(454\) | −143.556 | − | 143.556i | −0.316202 | − | 0.316202i | ||||
\(455\) | −166.217 | + | 259.823i | −0.365313 | + | 0.571039i | ||||
\(456\) | 299.582 | − | 412.339i | 0.656978 | − | 0.904253i | ||||
\(457\) | 478.385 | − | 243.749i | 1.04679 | − | 0.533369i | 0.155992 | − | 0.987758i | \(-0.450143\pi\) |
0.890803 | + | 0.454390i | \(0.150143\pi\) | |||||||
\(458\) | −77.2703 | + | 151.652i | −0.168713 | + | 0.331117i | ||||
\(459\) | 51.9908 | + | 71.5592i | 0.113270 | + | 0.155902i | ||||
\(460\) | −24.7121 | −0.0537221 | ||||||||
\(461\) | 199.045 | + | 273.962i | 0.431768 | + | 0.594278i | 0.968358 | − | 0.249566i | \(-0.0802878\pi\) |
−0.536590 | + | 0.843843i | \(0.680288\pi\) | |||||||
\(462\) | 66.3496 | − | 675.668i | 0.143614 | − | 1.46249i | ||||
\(463\) | −181.174 | + | 28.6951i | −0.391305 | + | 0.0619766i | −0.348987 | − | 0.937128i | \(-0.613474\pi\) |
−0.0423178 | + | 0.999104i | \(0.513474\pi\) | |||||||
\(464\) | 202.866 | + | 398.146i | 0.437211 | + | 0.858074i | ||||
\(465\) | −145.567 | + | 145.567i | −0.313047 | + | 0.313047i | ||||
\(466\) | 54.3810 | + | 343.348i | 0.116697 | + | 0.736799i | ||||
\(467\) | −712.926 | + | 231.644i | −1.52661 | + | 0.496025i | −0.947644 | − | 0.319328i | \(-0.896543\pi\) |
−0.578964 | + | 0.815353i | \(0.696543\pi\) | |||||||
\(468\) | −8.73850 | + | 55.1727i | −0.0186720 | + | 0.117890i | ||||
\(469\) | 308.161 | + | 80.3182i | 0.657061 | + | 0.171254i | ||||
\(470\) | 48.7318 | − | 95.6416i | 0.103685 | − | 0.203493i | ||||
\(471\) | −641.500 | + | 208.436i | −1.36200 | + | 0.442540i | ||||
\(472\) | −164.755 | − | 507.062i | −0.349056 | − | 1.07428i | ||||
\(473\) | 220.354 | − | 432.470i | 0.465865 | − | 0.914313i | ||||
\(474\) | −398.502 | − | 129.481i | −0.840721 | − | 0.273167i | ||||
\(475\) | −51.1059 | + | 322.670i | −0.107591 | + | 0.679306i | ||||
\(476\) | 11.5320 | + | 29.4388i | 0.0242268 | + | 0.0618462i | ||||
\(477\) | −24.7136 | − | 156.036i | −0.0518105 | − | 0.327119i | ||||
\(478\) | −221.824 | − | 221.824i | −0.464067 | − | 0.464067i | ||||
\(479\) | −307.369 | + | 156.612i | −0.641690 | + | 0.326957i | −0.744380 | − | 0.667756i | \(-0.767255\pi\) |
0.102691 | + | 0.994713i | \(0.467255\pi\) | |||||||
\(480\) | −138.200 | + | 21.8887i | −0.287917 | + | 0.0456015i | ||||
\(481\) | 543.242 | + | 86.0410i | 1.12940 | + | 0.178879i | ||||
\(482\) | 159.172 | + | 219.081i | 0.330232 | + | 0.454525i | ||||
\(483\) | −13.4251 | − | 226.529i | −0.0277951 | − | 0.469004i | ||||
\(484\) | 96.5136 | + | 132.840i | 0.199408 | + | 0.274462i | ||||
\(485\) | −133.235 | − | 67.8867i | −0.274712 | − | 0.139973i | ||||
\(486\) | −114.581 | − | 224.877i | −0.235763 | − | 0.462710i | ||||
\(487\) | 264.632 | − | 364.235i | 0.543393 | − | 0.747916i | −0.445704 | − | 0.895180i | \(-0.647047\pi\) |
0.989097 | + | 0.147264i | \(0.0470468\pi\) | |||||||
\(488\) | −214.292 | + | 294.947i | −0.439122 | + | 0.604400i | ||||
\(489\) | −52.5705 | − | 52.5705i | −0.107506 | − | 0.107506i | ||||
\(490\) | 39.4010 | − | 198.684i | 0.0804101 | − | 0.405478i | ||||
\(491\) | −737.847 | −1.50274 | −0.751372 | − | 0.659879i | \(-0.770608\pi\) | ||||
−0.751372 | + | 0.659879i | \(0.770608\pi\) | |||||||
\(492\) | 152.430 | + | 10.4272i | 0.309817 | + | 0.0211934i | ||||
\(493\) | − | 177.549i | − | 0.360141i | ||||||
\(494\) | −504.651 | − | 163.971i | −1.02156 | − | 0.331926i | ||||
\(495\) | −80.0371 | − | 80.0371i | −0.161691 | − | 0.161691i | ||||
\(496\) | −152.497 | + | 209.894i | −0.307453 | + | 0.423172i | ||||
\(497\) | −465.368 | − | 297.711i | −0.936355 | − | 0.599017i | ||||
\(498\) | 567.334 | − | 289.071i | 1.13922 | − | 0.580464i | ||||
\(499\) | −244.756 | − | 124.709i | −0.490492 | − | 0.249918i | 0.191209 | − | 0.981549i | \(-0.438759\pi\) |
−0.681701 | + | 0.731631i | \(0.738759\pi\) | |||||||
\(500\) | 93.6406 | − | 68.0339i | 0.187281 | − | 0.136068i | ||||
\(501\) | − | 211.921i | − | 0.422997i | ||||||
\(502\) | 304.541 | + | 419.165i | 0.606655 | + | 0.834990i | ||||
\(503\) | 539.123 | + | 85.3887i | 1.07182 | + | 0.169759i | 0.667312 | − | 0.744778i | \(-0.267445\pi\) |
0.404503 | + | 0.914537i | \(0.367445\pi\) | |||||||
\(504\) | −36.9380 | − | 168.121i | −0.0732896 | − | 0.333573i | ||||
\(505\) | −7.88760 | − | 15.4803i | −0.0156190 | − | 0.0306540i | ||||
\(506\) | −187.895 | − | 187.895i | −0.371334 | − | 0.371334i | ||||
\(507\) | 551.744 | − | 87.3876i | 1.08825 | − | 0.172362i | ||||
\(508\) | 47.5228 | + | 146.260i | 0.0935489 | + | 0.287914i | ||||
\(509\) | −61.9361 | + | 391.049i | −0.121682 | + | 0.768269i | 0.849087 | + | 0.528253i | \(0.177153\pi\) |
−0.970769 | + | 0.240016i | \(0.922847\pi\) | |||||||
\(510\) | −56.3830 | − | 18.3199i | −0.110555 | − | 0.0359214i | ||||
\(511\) | −124.105 | + | 283.952i | −0.242867 | + | 0.555680i | ||||
\(512\) | −514.256 | + | 167.092i | −1.00441 | + | 0.326351i | ||||
\(513\) | −344.367 | + | 111.892i | −0.671280 | + | 0.218112i | ||||
\(514\) | 534.168 | + | 272.172i | 1.03924 | + | 0.529518i | ||||
\(515\) | 53.1701 | − | 163.641i | 0.103243 | − | 0.317749i | ||||
\(516\) | 17.1384 | − | 108.207i | 0.0332139 | − | 0.209704i | ||||
\(517\) | −407.724 | + | 132.478i | −0.788635 | + | 0.256243i | ||||
\(518\) | −352.779 | + | 77.5094i | −0.681041 | + | 0.149632i | ||||
\(519\) | 211.663 | + | 211.663i | 0.407829 | + | 0.407829i | ||||
\(520\) | 173.665 | + | 340.838i | 0.333972 | + | 0.655457i | ||||
\(521\) | −69.3541 | − | 437.885i | −0.133117 | − | 0.840470i | −0.960388 | − | 0.278666i | \(-0.910108\pi\) |
0.827271 | − | 0.561803i | \(-0.189892\pi\) | |||||||
\(522\) | −32.2258 | + | 203.466i | −0.0617353 | + | 0.389781i | ||||
\(523\) | −313.644 | − | 431.694i | −0.599702 | − | 0.825419i | 0.395979 | − | 0.918259i | \(-0.370405\pi\) |
−0.995681 | + | 0.0928409i | \(0.970405\pi\) | |||||||
\(524\) | −56.3562 | −0.107550 | ||||||||
\(525\) | 292.496 | + | 356.197i | 0.557135 | + | 0.678470i | ||||
\(526\) | −75.6343 | − | 38.5376i | −0.143791 | − | 0.0732654i | ||||
\(527\) | 91.8501 | − | 46.8000i | 0.174289 | − | 0.0888045i | ||||
\(528\) | −482.099 | − | 350.265i | −0.913065 | − | 0.663381i | ||||
\(529\) | 356.115 | + | 258.733i | 0.673186 | + | 0.489098i | ||||
\(530\) | −163.029 | − | 163.029i | −0.307601 | − | 0.307601i | ||||
\(531\) | 53.7544 | − | 165.439i | 0.101232 | − | 0.311561i | ||||
\(532\) | −129.201 | + | 7.65698i | −0.242859 | + | 0.0143928i | ||||
\(533\) | −181.661 | − | 723.933i | −0.340827 | − | 1.35822i | ||||
\(534\) | −818.430 | −1.53264 | ||||||||
\(535\) | 138.100 | − | 425.028i | 0.258131 | − | 0.794445i | ||||
\(536\) | 279.273 | − | 279.273i | 0.521032 | − | 0.521032i | ||||
\(537\) | −622.927 | + | 857.385i | −1.16001 | + | 1.59662i | ||||
\(538\) | 33.8373 | + | 24.5842i | 0.0628945 | + | 0.0456956i | ||||
\(539\) | −672.375 | + | 449.831i | −1.24745 | + | 0.834566i | ||||
\(540\) | 49.5667 | + | 25.2555i | 0.0917902 | + | 0.0467695i | ||||
\(541\) | −69.9935 | − | 96.3378i | −0.129378 | − | 0.178074i | 0.739414 | − | 0.673252i | \(-0.235103\pi\) |
−0.868792 | + | 0.495178i | \(0.835103\pi\) | |||||||
\(542\) | 685.651 | 1.26504 | ||||||||
\(543\) | 493.919 | − | 358.853i | 0.909611 | − | 0.660871i | ||||
\(544\) | 69.2038 | + | 10.9608i | 0.127213 | + | 0.0201485i | ||||
\(545\) | −59.0435 | − | 372.786i | −0.108337 | − | 0.684012i | ||||
\(546\) | −645.740 | + | 378.726i | −1.18267 | + | 0.693638i | ||||
\(547\) | 0.716090 | + | 0.716090i | 0.00130912 | + | 0.00130912i | 0.707761 | − | 0.706452i | \(-0.249705\pi\) |
−0.706452 | + | 0.707761i | \(0.749705\pi\) | |||||||
\(548\) | −19.1470 | − | 120.890i | −0.0349398 | − | 0.220601i | ||||
\(549\) | −113.128 | + | 36.7574i | −0.206062 | + | 0.0669535i | ||||
\(550\) | 533.056 | + | 84.4278i | 0.969193 | + | 0.153505i | ||||
\(551\) | 691.247 | + | 224.600i | 1.25453 | + | 0.407622i | ||||
\(552\) | −250.761 | − | 127.769i | −0.454277 | − | 0.231466i | ||||
\(553\) | 182.106 | + | 464.880i | 0.329306 | + | 0.840651i | ||||
\(554\) | −570.894 | + | 185.495i | −1.03049 | + | 0.334828i | ||||
\(555\) | −114.205 | + | 224.139i | −0.205774 | + | 0.403854i | ||||
\(556\) | 157.825 | + | 51.2805i | 0.283858 | + | 0.0922311i | ||||
\(557\) | −495.806 | − | 78.5280i | −0.890136 | − | 0.140984i | −0.305416 | − | 0.952219i | \(-0.598796\pi\) |
−0.584720 | + | 0.811235i | \(0.698796\pi\) | |||||||
\(558\) | −113.752 | + | 36.9601i | −0.203856 | + | 0.0662368i | ||||
\(559\) | −528.606 | + | 83.7229i | −0.945627 | + | 0.149773i | ||||
\(560\) | −132.932 | − | 118.057i | −0.237378 | − | 0.210816i | ||||
\(561\) | 107.494 | + | 210.968i | 0.191611 | + | 0.376057i | ||||
\(562\) | 299.267 | − | 47.3992i | 0.532503 | − | 0.0843402i | ||||
\(563\) | −250.887 | − | 39.7367i | −0.445626 | − | 0.0705802i | −0.0704111 | − | 0.997518i | \(-0.522431\pi\) |
−0.375215 | + | 0.926938i | \(0.622431\pi\) | |||||||
\(564\) | −78.2852 | + | 56.8775i | −0.138804 | + | 0.100847i | ||||
\(565\) | −120.495 | −0.213266 | ||||||||
\(566\) | 451.388 | − | 327.953i | 0.797505 | − | 0.579422i | ||||
\(567\) | −276.047 | + | 631.596i | −0.486856 | + | 1.11393i | ||||
\(568\) | −610.474 | + | 311.052i | −1.07478 | + | 0.547627i | ||||
\(569\) | 430.580 | − | 592.643i | 0.756732 | − | 1.04155i | −0.240747 | − | 0.970588i | \(-0.577392\pi\) |
0.997479 | − | 0.0709639i | \(-0.0226075\pi\) | |||||||
\(570\) | 142.649 | − | 196.339i | 0.250261 | − | 0.344454i | ||||
\(571\) | 116.979 | − | 116.979i | 0.204867 | − | 0.204867i | −0.597214 | − | 0.802082i | \(-0.703726\pi\) |
0.802082 | + | 0.597214i | \(0.203726\pi\) | |||||||
\(572\) | 100.613 | − | 309.656i | 0.175898 | − | 0.541357i | ||||
\(573\) | − | 212.665i | − | 0.371142i | ||||||
\(574\) | 284.478 | + | 399.143i | 0.495607 | + | 0.695371i | ||||
\(575\) | 180.393 | 0.313728 | ||||||||
\(576\) | −190.383 | − | 61.8593i | −0.330526 | − | 0.107395i | ||||
\(577\) | −8.61843 | − | 8.61843i | −0.0149366 | − | 0.0149366i | 0.699599 | − | 0.714536i | \(-0.253362\pi\) |
−0.714536 | + | 0.699599i | \(0.753362\pi\) | |||||||
\(578\) | −375.283 | − | 272.659i | −0.649278 | − | 0.471728i | ||||
\(579\) | −755.188 | − | 548.676i | −1.30430 | − | 0.947627i | ||||
\(580\) | −50.6953 | − | 99.4951i | −0.0874057 | − | 0.171543i | ||||
\(581\) | −695.206 | − | 303.849i | −1.19657 | − | 0.522976i | ||||
\(582\) | −213.323 | − | 293.614i | −0.366535 | − | 0.504492i | ||||
\(583\) | 920.817i | 1.57945i | ||||||||
\(584\) | 225.901 | + | 310.926i | 0.386817 | + | 0.532408i | ||||
\(585\) | −19.5243 | + | 123.272i | −0.0333749 | + | 0.210721i | ||||
\(586\) | −21.8067 | − | 137.682i | −0.0372129 | − | 0.234953i | ||||
\(587\) | 238.597 | − | 121.571i | 0.406468 | − | 0.207106i | −0.238789 | − | 0.971071i | \(-0.576750\pi\) |
0.645257 | + | 0.763966i | \(0.276750\pi\) | |||||||
\(588\) | −112.962 | + | 143.463i | −0.192112 | + | 0.243984i | ||||
\(589\) | 66.0144 | + | 416.798i | 0.112079 | + | 0.707637i | ||||
\(590\) | −78.4493 | − | 241.442i | −0.132965 | − | 0.409224i | ||||
\(591\) | 207.085 | − | 1307.48i | 0.350398 | − | 2.21232i | ||||
\(592\) | −97.9678 | + | 301.514i | −0.165486 | + | 0.509314i | ||||
\(593\) | −545.253 | − | 277.820i | −0.919482 | − | 0.468499i | −0.0708523 | − | 0.997487i | \(-0.522572\pi\) |
−0.848630 | + | 0.528987i | \(0.822572\pi\) | |||||||
\(594\) | 184.847 | + | 568.899i | 0.311190 | + | 0.957743i | ||||
\(595\) | 25.7657 | + | 65.7747i | 0.0433037 | + | 0.110546i | ||||
\(596\) | 41.8093 | − | 82.0553i | 0.0701497 | − | 0.137677i | ||||
\(597\) | 279.807 | − | 861.157i | 0.468688 | − | 1.44247i | ||||
\(598\) | −45.8352 | + | 289.392i | −0.0766476 | + | 0.483934i | ||||
\(599\) | −260.702 | − | 802.358i | −0.435228 | − | 1.33950i | −0.892852 | − | 0.450349i | \(-0.851299\pi\) |
0.457624 | − | 0.889146i | \(-0.348701\pi\) | |||||||
\(600\) | 564.575 | − | 89.4199i | 0.940959 | − | 0.149033i | ||||
\(601\) | −574.498 | + | 574.498i | −0.955904 | + | 0.955904i | −0.999068 | − | 0.0431641i | \(-0.986256\pi\) |
0.0431641 | + | 0.999068i | \(0.486256\pi\) | |||||||
\(602\) | 303.167 | − | 177.807i | 0.503600 | − | 0.295361i | ||||
\(603\) | 127.274 | − | 20.1583i | 0.211068 | − | 0.0334300i | ||||
\(604\) | −47.4674 | + | 299.697i | −0.0785884 | + | 0.496188i | ||||
\(605\) | 215.639 | + | 296.801i | 0.356428 | + | 0.490581i | ||||
\(606\) | − | 42.1677i | − | 0.0695837i | ||||||
\(607\) | −249.501 | + | 181.273i | −0.411040 | + | 0.298638i | −0.774023 | − | 0.633158i | \(-0.781758\pi\) |
0.362983 | + | 0.931796i | \(0.381758\pi\) | |||||||
\(608\) | −130.216 | + | 255.563i | −0.214171 | + | 0.420334i | ||||
\(609\) | 884.502 | − | 518.760i | 1.45238 | − | 0.851823i | ||||
\(610\) | −102.037 | + | 140.442i | −0.167273 | + | 0.230232i | ||||
\(611\) | 382.432 | + | 277.853i | 0.625912 | + | 0.454752i | ||||
\(612\) | 9.04638 | + | 9.04638i | 0.0147817 | + | 0.0147817i | ||||
\(613\) | −923.237 | − | 299.978i | −1.50610 | − | 0.489360i | −0.564307 | − | 0.825565i | \(-0.690857\pi\) |
−0.941789 | + | 0.336205i | \(0.890857\pi\) | |||||||
\(614\) | 636.430i | 1.03653i | ||||||||
\(615\) | 340.571 | + | 23.2973i | 0.553775 | + | 0.0378817i | ||||
\(616\) | 59.3552 | + | 1001.54i | 0.0963558 | + | 1.62587i | ||||
\(617\) | 201.722 | + | 65.5436i | 0.326941 | + | 0.106229i | 0.467888 | − | 0.883788i | \(-0.345015\pi\) |
−0.140948 | + | 0.990017i | \(0.545015\pi\) | |||||||
\(618\) | 295.292 | − | 295.292i | 0.477819 | − | 0.477819i | ||||
\(619\) | 549.839 | − | 756.788i | 0.888270 | − | 1.22260i | −0.0857914 | − | 0.996313i | \(-0.527342\pi\) |
0.974061 | − | 0.226285i | \(-0.0726581\pi\) | |||||||
\(620\) | 38.1083 | − | 52.4515i | 0.0614649 | − | 0.0845992i | ||||
\(621\) | 90.7703 | + | 178.147i | 0.146168 | + | 0.286871i | ||||
\(622\) | 349.487 | − | 685.906i | 0.561876 | − | 1.10274i | ||||
\(623\) | 618.885 | + | 753.668i | 0.993395 | + | 1.20974i | ||||
\(624\) | 657.075i | 1.05301i | ||||||||
\(625\) | −177.921 | + | 129.267i | −0.284674 | + | 0.206828i | ||||
\(626\) | 856.174 | + | 135.605i | 1.36769 | + | 0.216621i | ||||
\(627\) | −957.333 | + | 151.627i | −1.52685 | + | 0.241829i | ||||
\(628\) | 189.276 | − | 96.4408i | 0.301394 | − | 0.153568i | ||||
\(629\) | 89.0724 | − | 89.0724i | 0.141610 | − | 0.141610i | ||||
\(630\) | −17.5883 | − | 80.0522i | −0.0279180 | − | 0.127067i | ||||
\(631\) | −64.9715 | − | 199.962i | −0.102966 | − | 0.316897i | 0.886282 | − | 0.463147i | \(-0.153280\pi\) |
−0.989248 | + | 0.146250i | \(0.953280\pi\) | |||||||
\(632\) | 611.581 | + | 96.8649i | 0.967692 | + | 0.153267i | ||||
\(633\) | 77.9150 | + | 25.3161i | 0.123089 | + | 0.0399939i | ||||
\(634\) | 165.252 | − | 324.326i | 0.260650 | − | 0.511555i | ||||
\(635\) | 106.180 | + | 326.787i | 0.167212 | + | 0.514625i | ||||
\(636\) | 64.2270 | + | 197.670i | 0.100986 | + | 0.310802i | ||||
\(637\) | 837.057 | + | 308.255i | 1.31406 | + | 0.483917i | ||||
\(638\) | 371.042 | − | 1141.95i | 0.581571 | − | 1.78989i | ||||
\(639\) | −220.792 | − | 34.9700i | −0.345527 | − | 0.0547261i | ||||
\(640\) | −123.101 | + | 39.9979i | −0.192345 | + | 0.0624966i | ||||
\(641\) | −99.0015 | − | 625.071i | −0.154449 | − | 0.975150i | −0.936177 | − | 0.351530i | \(-0.885661\pi\) |
0.781728 | − | 0.623620i | \(-0.214339\pi\) | |||||||
\(642\) | 766.969 | − | 766.969i | 1.19466 | − | 1.19466i | ||||
\(643\) | −802.656 | + | 408.974i | −1.24830 | + | 0.636040i | −0.948141 | − | 0.317849i | \(-0.897039\pi\) |
−0.300158 | + | 0.953890i | \(0.597039\pi\) | |||||||
\(644\) | 15.3364 | + | 69.8026i | 0.0238143 | + | 0.108389i | ||||
\(645\) | 38.2920 | − | 241.766i | 0.0593674 | − | 0.374831i | ||||
\(646\) | −98.3169 | + | 71.4314i | −0.152193 | + | 0.110575i | ||||
\(647\) | −2.57641 | −0.00398208 | −0.00199104 | − | 0.999998i | \(-0.500634\pi\) | ||||
−0.00199104 | + | 0.999998i | \(0.500634\pi\) | |||||||
\(648\) | 502.472 | + | 691.594i | 0.775420 | + | 1.06727i | ||||
\(649\) | −460.307 | + | 903.403i | −0.709256 | + | 1.39199i | ||||
\(650\) | −270.170 | − | 530.238i | −0.415646 | − | 0.815751i | ||||
\(651\) | 501.510 | + | 320.833i | 0.770369 | + | 0.492830i | ||||
\(652\) | 18.9425 | + | 13.7625i | 0.0290529 | + | 0.0211082i | ||||
\(653\) | −781.236 | + | 781.236i | −1.19638 | + | 1.19638i | −0.221137 | + | 0.975243i | \(0.570977\pi\) |
−0.975243 | + | 0.221137i | \(0.929023\pi\) | |||||||
\(654\) | 283.077 | − | 871.220i | 0.432839 | − | 1.33214i | ||||
\(655\) | −125.916 | −0.192238 | ||||||||
\(656\) | 428.521 | − | 38.1443i | 0.653234 | − | 0.0581467i | ||||
\(657\) | 125.394i | 0.190858i | ||||||||
\(658\) | −300.395 | − | 78.2939i | −0.456527 | − | 0.118988i | ||||
\(659\) | −414.042 | + | 414.042i | −0.628288 | + | 0.628288i | −0.947637 | − | 0.319349i | \(-0.896536\pi\) |
0.319349 | + | 0.947637i | \(0.396536\pi\) | |||||||
\(660\) | 120.474 | + | 87.5298i | 0.182537 | + | 0.132621i | ||||
\(661\) | −815.254 | − | 592.317i | −1.23336 | − | 0.896092i | −0.236227 | − | 0.971698i | \(-0.575911\pi\) |
−0.997138 | + | 0.0756063i | \(0.975911\pi\) | |||||||
\(662\) | −709.896 | + | 361.710i | −1.07235 | + | 0.546390i | ||||
\(663\) | 118.528 | − | 232.623i | 0.178775 | − | 0.350865i | ||||
\(664\) | −761.247 | + | 553.078i | −1.14646 | + | 0.832949i | ||||
\(665\) | −288.671 | + | 17.1079i | −0.434092 | + | 0.0257261i | ||||
\(666\) | −118.241 | + | 85.9071i | −0.177539 | + | 0.128990i | ||||
\(667\) | 62.7828 | − | 396.395i | 0.0941272 | − | 0.594296i | ||||
\(668\) | 10.4407 | + | 65.9201i | 0.0156298 | + | 0.0986828i | ||||
\(669\) | 177.707 | + | 348.770i | 0.265631 | + | 0.521330i | ||||
\(670\) | 132.978 | − | 132.978i | 0.198475 | − | 0.198475i | ||||
\(671\) | 684.781 | − | 108.459i | 1.02054 | − | 0.161637i | ||||
\(672\) | 147.595 | + | 376.779i | 0.219635 | + | 0.560683i | ||||
\(673\) | 373.909 | + | 59.2214i | 0.555586 | + | 0.0879962i | 0.427913 | − | 0.903820i | \(-0.359249\pi\) |
0.127673 | + | 0.991816i | \(0.459249\pi\) | |||||||
\(674\) | −170.022 | + | 523.274i | −0.252258 | + | 0.776371i | ||||
\(675\) | −361.827 | − | 184.360i | −0.536039 | − | 0.273126i | ||||
\(676\) | −167.320 | + | 54.3655i | −0.247514 | + | 0.0804223i | ||||
\(677\) | −166.001 | − | 510.899i | −0.245201 | − | 0.754652i | −0.995603 | − | 0.0936703i | \(-0.970140\pi\) |
0.750402 | − | 0.660982i | \(-0.229860\pi\) | |||||||
\(678\) | −260.574 | − | 132.769i | −0.384328 | − | 0.195825i | ||||
\(679\) | −109.069 | + | 418.470i | −0.160631 | + | 0.616303i | ||||
\(680\) | 86.5310 | + | 13.7052i | 0.127252 | + | 0.0201547i | ||||
\(681\) | 126.361 | + | 388.899i | 0.185552 | + | 0.571070i | ||||
\(682\) | 688.557 | − | 109.057i | 1.00961 | − | 0.159907i | ||||
\(683\) | 381.462 | + | 381.462i | 0.558510 | + | 0.558510i | 0.928883 | − | 0.370373i | \(-0.120770\pi\) |
−0.370373 | + | 0.928883i | \(0.620770\pi\) | |||||||
\(684\) | −46.6636 | + | 23.7763i | −0.0682216 | + | 0.0347606i | ||||
\(685\) | −42.7799 | − | 270.102i | −0.0624524 | − | 0.394309i | ||||
\(686\) | −585.661 | + | 12.0108i | −0.853733 | + | 0.0175084i | ||||
\(687\) | 277.344 | − | 201.502i | 0.403703 | − | 0.293307i | ||||
\(688\) | − | 308.489i | − | 0.448385i | ||||||
\(689\) | 821.424 | − | 596.800i | 1.19220 | − | 0.866183i | ||||
\(690\) | −119.402 | − | 60.8384i | −0.173046 | − | 0.0881715i | ||||
\(691\) | −481.480 | − | 944.958i | −0.696788 | − | 1.36752i | −0.919676 | − | 0.392679i | \(-0.871548\pi\) |
0.222888 | − | 0.974844i | \(-0.428452\pi\) | |||||||
\(692\) | −76.2678 | − | 55.4118i | −0.110214 | − | 0.0800749i | ||||
\(693\) | −176.404 | + | 275.746i | −0.254551 | + | 0.397902i | ||||
\(694\) | 48.0494 | − | 48.0494i | 0.0692354 | − | 0.0692354i | ||||
\(695\) | 352.626 | + | 114.575i | 0.507376 | + | 0.164856i | ||||
\(696\) | − | 1271.71i | − | 1.82718i | ||||||
\(697\) | −158.590 | − | 63.7954i | −0.227532 | − | 0.0915285i | ||||
\(698\) | 424.904i | 0.608745i | ||||||||
\(699\) | 216.367 | − | 665.910i | 0.309538 | − | 0.952661i | ||||
\(700\) | −108.532 | − | 96.3879i | −0.155046 | − | 0.137697i | ||||
\(701\) | 585.626 | + | 425.482i | 0.835415 | + | 0.606964i | 0.921086 | − | 0.389359i | \(-0.127303\pi\) |
−0.0856713 | + | 0.996323i | \(0.527303\pi\) | |||||||
\(702\) | 387.690 | − | 533.610i | 0.552265 | − | 0.760128i | ||||
\(703\) | 234.106 | + | 459.459i | 0.333010 | + | 0.653569i | ||||
\(704\) | 1039.61 | + | 529.710i | 1.47673 | + | 0.752429i | ||||
\(705\) | −174.911 | + | 127.081i | −0.248101 | + | 0.180256i | ||||
\(706\) | −723.699 | −1.02507 | ||||||||
\(707\) | −38.8310 | + | 31.8866i | −0.0549236 | + | 0.0451013i | ||||
\(708\) | −35.8010 | + | 226.039i | −0.0505664 | + | 0.319264i | ||||
\(709\) | 302.075 | − | 47.8440i | 0.426058 | − | 0.0674809i | 0.0602763 | − | 0.998182i | \(-0.480802\pi\) |
0.365781 | + | 0.930701i | \(0.380802\pi\) | |||||||
\(710\) | −290.682 | + | 148.110i | −0.409412 | + | 0.208606i | ||||
\(711\) | 142.855 | + | 142.855i | 0.200921 | + | 0.200921i | ||||
\(712\) | 1194.57 | − | 189.201i | 1.67777 | − | 0.265732i | ||||
\(713\) | 221.613 | − | 72.0063i | 0.310817 | − | 0.100991i | ||||
\(714\) | −16.7556 | + | 170.630i | −0.0234673 | + | 0.238978i | ||||
\(715\) | 224.799 | − | 691.861i | 0.314404 | − | 0.967637i | ||||
\(716\) | 151.526 | − | 297.387i | 0.211629 | − | 0.415345i | ||||
\(717\) | 195.254 | + | 600.930i | 0.272321 | + | 0.838117i | ||||
\(718\) | −751.132 | + | 244.057i | −1.04614 | + | 0.339913i | ||||
\(719\) | −1068.10 | − | 544.226i | −1.48554 | − | 0.756920i | −0.492020 | − | 0.870584i | \(-0.663741\pi\) |
−0.993519 | + | 0.113664i | \(0.963741\pi\) | |||||||
\(720\) | −68.4191 | − | 22.2307i | −0.0950265 | − | 0.0308760i | ||||
\(721\) | −495.221 | − | 48.6300i | −0.686853 | − | 0.0674480i | ||||
\(722\) | 36.7862 | + | 113.216i | 0.0509504 | + | 0.156809i | ||||
\(723\) | −85.3246 | − | 538.718i | −0.118015 | − | 0.745115i | ||||
\(724\) | −135.958 | + | 135.958i | −0.187788 | + | 0.187788i | ||||
\(725\) | 370.065 | + | 726.294i | 0.510435 | + | 1.00178i | ||||
\(726\) | 139.291 | + | 879.448i | 0.191861 | + | 1.21136i | ||||
\(727\) | 902.359 | + | 142.920i | 1.24121 | + | 0.196588i | 0.742301 | − | 0.670067i | \(-0.233735\pi\) |
0.498908 | + | 0.866655i | \(0.333735\pi\) | |||||||
\(728\) | 854.961 | − | 702.064i | 1.17440 | − | 0.964373i | ||||
\(729\) | − | 377.879i | − | 0.518353i | ||||||
\(730\) | 107.565 | + | 148.050i | 0.147349 | + | 0.202808i | ||||
\(731\) | −55.6473 | + | 109.214i | −0.0761249 | + | 0.149403i | ||||
\(732\) | 139.436 | − | 71.0462i | 0.190486 | − | 0.0970576i | ||||
\(733\) | 439.743 | + | 319.492i | 0.599922 | + | 0.435869i | 0.845851 | − | 0.533419i | \(-0.179093\pi\) |
−0.245929 | + | 0.969288i | \(0.579093\pi\) | |||||||
\(734\) | 240.299 | − | 330.743i | 0.327382 | − | 0.450603i | ||||
\(735\) | −252.389 | + | 320.537i | −0.343387 | + | 0.436104i | ||||
\(736\) | 150.628 | + | 48.9420i | 0.204658 | + | 0.0664973i | ||||
\(737\) | −751.086 | −1.01911 | ||||||||
\(738\) | 170.159 | + | 101.892i | 0.230568 | + | 0.138065i | ||||
\(739\) | 957.822 | 1.29611 | 0.648053 | − | 0.761595i | \(-0.275584\pi\) | ||||
0.648053 | + | 0.761595i | \(0.275584\pi\) | |||||||
\(740\) | 24.4817 | − | 75.3471i | 0.0330834 | − | 0.101820i | ||||
\(741\) | 755.727 | + | 755.727i | 1.01987 | + | 1.01987i | ||||
\(742\) | −359.319 | + | 561.671i | −0.484258 | + | 0.756968i | ||||
\(743\) | 106.231 | − | 146.215i | 0.142976 | − | 0.196790i | −0.731523 | − | 0.681817i | \(-0.761190\pi\) |
0.874499 | + | 0.485027i | \(0.161190\pi\) | |||||||
\(744\) | 657.885 | − | 335.209i | 0.884254 | − | 0.450550i | ||||
\(745\) | 93.4138 | − | 183.335i | 0.125388 | − | 0.246087i | ||||
\(746\) | 32.4461 | + | 44.6583i | 0.0434935 | + | 0.0598636i | ||||
\(747\) | −307.004 | −0.410983 | ||||||||
\(748\) | −43.8306 | − | 60.3277i | −0.0585971 | − | 0.0806520i | ||||
\(749\) | −1286.25 | − | 126.308i | −1.71729 | − | 0.168635i | ||||
\(750\) | 619.936 | − | 98.1882i | 0.826581 | − | 0.130918i | ||||
\(751\) | 268.714 | + | 527.382i | 0.357809 | + | 0.702239i | 0.997811 | − | 0.0661339i | \(-0.0210665\pi\) |
−0.640002 | + | 0.768373i | \(0.721066\pi\) | |||||||
\(752\) | −192.668 | + | 192.668i | −0.256208 | + | 0.256208i | ||||
\(753\) | −163.250 | − | 1030.72i | −0.216800 | − | 1.36882i | ||||
\(754\) | −1259.17 | + | 409.129i | −1.66999 | + | 0.542611i | ||||
\(755\) | −106.056 | + | 669.610i | −0.140471 | + | 0.886900i | ||||
\(756\) | 40.5762 | − | 155.681i | 0.0536722 | − | 0.205927i | ||||
\(757\) | −62.0960 | + | 121.870i | −0.0820290 | + | 0.160991i | −0.928378 | − | 0.371639i | \(-0.878796\pi\) |
0.846348 | + | 0.532630i | \(0.178796\pi\) | |||||||
\(758\) | 1199.01 | − | 389.584i | 1.58181 | − | 0.513962i | ||||
\(759\) | 165.389 | + | 509.016i | 0.217904 | + | 0.670640i | ||||
\(760\) | −162.819 | + | 319.551i | −0.214236 | + | 0.420462i | ||||
\(761\) | −293.573 | − | 95.3876i | −0.385772 | − | 0.125345i | 0.109709 | − | 0.993964i | \(-0.465008\pi\) |
−0.495481 | + | 0.868619i | \(0.665008\pi\) | |||||||
\(762\) | −130.459 | + | 823.683i | −0.171205 | + | 1.08095i | ||||
\(763\) | −1016.34 | + | 398.127i | −1.33203 | + | 0.521792i | ||||
\(764\) | 10.4773 | + | 66.1513i | 0.0137138 | + | 0.0865855i | ||||
\(765\) | 20.2122 | + | 20.2122i | 0.0264212 | + | 0.0264212i | ||||
\(766\) | 438.472 | − | 223.413i | 0.572418 | − | 0.291662i | ||||
\(767\) | 1104.22 | − | 174.892i | 1.43967 | − | 0.228021i | ||||
\(768\) | 650.162 | + | 102.976i | 0.846565 | + | 0.134083i | ||||
\(769\) | −217.137 | − | 298.864i | −0.282363 | − | 0.388640i | 0.644152 | − | 0.764898i | \(-0.277211\pi\) |
−0.926515 | + | 0.376258i | \(0.877211\pi\) | |||||||
\(770\) | 28.2625 | + | 476.890i | 0.0367045 | + | 0.619337i | ||||
\(771\) | −709.758 | − | 976.898i | −0.920568 | − | 1.26705i | ||||
\(772\) | 261.940 | + | 133.465i | 0.339300 | + | 0.172882i | ||||
\(773\) | −373.947 | − | 733.913i | −0.483761 | − | 0.949434i | −0.995894 | − | 0.0905280i | \(-0.971145\pi\) |
0.512133 | − | 0.858906i | \(-0.328855\pi\) | |||||||
\(774\) | 83.5926 | − | 115.055i | 0.108001 | − | 0.148650i | ||||
\(775\) | −278.182 | + | 382.885i | −0.358945 | + | 0.494045i | ||||
\(776\) | 379.241 | + | 379.241i | 0.488712 | + | 0.488712i | ||||
\(777\) | 703.984 | + | 183.484i | 0.906029 | + | 0.236144i | ||||
\(778\) | −326.526 | −0.419699 | ||||||||
\(779\) | 448.987 | − | 536.730i | 0.576364 | − | 0.688998i | ||||
\(780\) | − | 164.200i | − | 0.210513i | ||||||
\(781\) | 1239.19 | + | 402.637i | 1.58667 | + | 0.515541i | ||||
\(782\) | 47.4501 | + | 47.4501i | 0.0606779 | + | 0.0606779i | ||||
\(783\) | −531.039 | + | 730.912i | −0.678210 | + | 0.933476i | ||||
\(784\) | −250.969 | + | 448.748i | −0.320114 | + | 0.572383i | ||||
\(785\) | 422.896 | − | 215.476i | 0.538721 | − | 0.274492i | ||||
\(786\) | −272.297 | − | 138.742i | −0.346434 | − | 0.176517i | ||||
\(787\) | 102.569 | − | 74.5208i | 0.130329 | − | 0.0946897i | −0.520711 | − | 0.853733i | \(-0.674333\pi\) |
0.651040 | + | 0.759043i | \(0.274333\pi\) | |||||||
\(788\) | 416.907i | 0.529070i | ||||||||
\(789\) | 100.497 | + | 138.322i | 0.127372 | + | 0.175313i | ||||
\(790\) | 291.210 | + | 46.1231i | 0.368620 | + | 0.0583836i | ||||
\(791\) | 74.7794 | + | 340.353i | 0.0945378 | + | 0.430283i | ||||
\(792\) | 184.308 | + | 361.726i | 0.232713 | + | 0.456724i | ||||
\(793\) | −540.572 | − | 540.572i | −0.681680 | − | 0.681680i | ||||
\(794\) | −606.107 | + | 95.9980i | −0.763359 | + | 0.120904i | ||||
\(795\) | 143.501 | + | 441.652i | 0.180505 | + | 0.555537i | ||||
\(796\) | −44.6100 | + | 281.656i | −0.0560427 | + | 0.353839i | ||||
\(797\) | 750.343 | + | 243.801i | 0.941459 | + | 0.305899i | 0.739240 | − | 0.673442i | \(-0.235185\pi\) |
0.202219 | + | 0.979340i | \(0.435185\pi\) | |||||||
\(798\) | −643.112 | − | 281.081i | −0.805904 | − | 0.352231i | ||||
\(799\) | 102.965 | − | 33.4553i | 0.128867 | − | 0.0418714i | ||||
\(800\) | −305.934 | + | 99.4041i | −0.382418 | + | 0.124255i | ||||
\(801\) | 351.600 | + | 179.149i | 0.438952 | + | 0.223657i | ||||
\(802\) | −294.426 | + | 906.149i | −0.367114 | + | 1.12986i | ||||
\(803\) | 114.335 | − | 721.880i | 0.142384 | − | 0.898979i | ||||
\(804\) | −161.234 | + | 52.3883i | −0.200540 | + | 0.0651595i | ||||
\(805\) | 34.2659 | + | 155.959i | 0.0425663 | + | 0.193738i | ||||
\(806\) | −543.553 | − | 543.553i | −0.674384 | − | 0.674384i | ||||
\(807\) | −38.2454 | − | 75.0608i | −0.0473920 | − | 0.0930121i | ||||
\(808\) | 9.74816 | + | 61.5475i | 0.0120646 | + | 0.0761726i | ||||
\(809\) | −169.414 | + | 1069.64i | −0.209412 | + | 1.32217i | 0.629114 | + | 0.777313i | \(0.283418\pi\) |
−0.838526 | + | 0.544862i | \(0.816582\pi\) | |||||||
\(810\) | 239.256 | + | 329.308i | 0.295378 | + | 0.406553i | ||||
\(811\) | −334.395 | −0.412324 | −0.206162 | − | 0.978518i | \(-0.566097\pi\) | ||||
−0.206162 | + | 0.978518i | \(0.566097\pi\) | |||||||
\(812\) | −249.575 | + | 204.942i | −0.307358 | + | 0.252392i | ||||
\(813\) | −1230.49 | − | 626.967i | −1.51352 | − | 0.771177i | ||||
\(814\) | 759.033 | − | 386.747i | 0.932473 | − | 0.475119i | ||||
\(815\) | 42.3230 | + | 30.7495i | 0.0519300 | + | 0.0377294i | ||||
\(816\) | 121.747 | + | 88.4543i | 0.149200 | + | 0.108400i | ||||
\(817\) | −354.805 | − | 354.805i | −0.434277 | − | 0.434277i | ||||
\(818\) | −247.253 | + | 760.965i | −0.302265 | + | 0.930275i | ||||
\(819\) | 360.313 | − | 21.3536i | 0.439943 | − | 0.0260728i | ||||
\(820\) | −107.086 | + | 9.53209i | −0.130592 | + | 0.0116245i | ||||
\(821\) | 431.425 | 0.525487 | 0.262743 | − | 0.964866i | \(-0.415373\pi\) | ||||
0.262743 | + | 0.964866i | \(0.415373\pi\) | |||||||
\(822\) | 205.103 | − | 631.241i | 0.249517 | − | 0.767933i | ||||
\(823\) | 411.117 | − | 411.117i | 0.499534 | − | 0.499534i | −0.411759 | − | 0.911293i | \(-0.635085\pi\) |
0.911293 | + | 0.411759i | \(0.135085\pi\) | |||||||
\(824\) | −362.740 | + | 499.269i | −0.440219 | + | 0.605909i | ||||
\(825\) | −879.438 | − | 638.949i | −1.06599 | − | 0.774484i | ||||
\(826\) | −633.298 | + | 371.429i | −0.766704 | + | 0.449672i | ||||
\(827\) | 681.318 | + | 347.149i | 0.823843 | + | 0.419769i | 0.814483 | − | 0.580187i | \(-0.197021\pi\) |
0.00935958 | + | 0.999956i | \(0.497021\pi\) | |||||||
\(828\) | 16.9980 | + | 23.3957i | 0.0205290 | + | 0.0282557i | ||||
\(829\) | −414.655 | −0.500187 | −0.250093 | − | 0.968222i | \(-0.580461\pi\) | ||||
−0.250093 | + | 0.968222i | \(0.580461\pi\) | |||||||
\(830\) | −362.474 | + | 263.353i | −0.436716 | + | 0.317293i | ||||
\(831\) | 1194.16 | + | 189.137i | 1.43702 | + | 0.227602i | ||||
\(832\) | −201.262 | − | 1270.72i | −0.241901 | − | 1.52730i | ||||
\(833\) | 169.799 | − | 113.598i | 0.203840 | − | 0.136372i | ||||
\(834\) | 636.319 | + | 636.319i | 0.762973 | + | 0.762973i | ||||
\(835\) | 23.3275 | + | 147.284i | 0.0279372 | + | 0.176388i | ||||
\(836\) | 290.317 | − | 94.3297i | 0.347269 | − | 0.112835i | ||||
\(837\) | −518.092 | − | 82.0577i | −0.618987 | − | 0.0980379i | ||||
\(838\) | −953.493 | − | 309.809i | −1.13782 | − | 0.369700i | ||||
\(839\) | 163.710 | + | 83.4143i | 0.195125 | + | 0.0994211i | 0.548823 | − | 0.835938i | \(-0.315076\pi\) |
−0.353698 | + | 0.935360i | \(0.615076\pi\) | |||||||
\(840\) | 184.549 | + | 471.117i | 0.219701 | + | 0.560854i | ||||
\(841\) | 924.908 | − | 300.521i | 1.09977 | − | 0.357338i | ||||
\(842\) | 153.822 | − | 301.893i | 0.182687 | − | 0.358543i | ||||
\(843\) | −580.416 | − | 188.589i | −0.688513 | − | 0.223711i | ||||
\(844\) | −25.4835 | − | 4.03618i | −0.0301937 | − | 0.00478221i | ||||
\(845\) | −373.840 | + | 121.468i | −0.442414 | + | 0.143749i | ||||
\(846\) | −124.066 | + | 19.6502i | −0.146651 | + | 0.0232272i | ||||
\(847\) | 704.527 | − | 793.294i | 0.831791 | − | 0.936593i | ||||
\(848\) | 265.696 | + | 521.457i | 0.313320 | + | 0.614926i | ||||
\(849\) | −1109.96 | + | 175.800i | −1.30737 | + | 0.207067i | ||||
\(850\) | −134.616 | − | 21.3210i | −0.158371 | − | 0.0250835i | ||||
\(851\) | 230.359 | − | 167.366i | 0.270692 | − | 0.196669i | ||||
\(852\) | 294.099 | 0.345187 | ||||||||
\(853\) | 1232.92 | − | 895.767i | 1.44539 | − | 1.05014i | 0.458508 | − | 0.888690i | \(-0.348384\pi\) |
0.986881 | − | 0.161447i | \(-0.0516161\pi\) | |||||||
\(854\) | 460.019 | + | 201.057i | 0.538664 | + | 0.235430i | ||||
\(855\) | −104.260 | + | 53.1230i | −0.121941 | + | 0.0621322i | ||||
\(856\) | −942.154 | + | 1296.76i | −1.10065 | + | 1.51491i | ||||
\(857\) | −442.787 | + | 609.444i | −0.516671 | + | 0.711137i | −0.985026 | − | 0.172404i | \(-0.944847\pi\) |
0.468355 | + | 0.883540i | \(0.344847\pi\) | |||||||
\(858\) | 1248.47 | − | 1248.47i | 1.45510 | − | 1.45510i | ||||
\(859\) | 342.941 | − | 1055.46i | 0.399233 | − | 1.22871i | −0.526383 | − | 0.850248i | \(-0.676452\pi\) |
0.925616 | − | 0.378465i | \(-0.123548\pi\) | |||||||
\(860\) | 77.0901i | 0.0896397i | ||||||||
\(861\) | −145.553 | − | 976.445i | −0.169051 | − | 1.13408i | ||||
\(862\) | −752.826 | −0.873349 | ||||||||
\(863\) | −610.839 | − | 198.474i | −0.707809 | − | 0.229981i | −0.0670793 | − | 0.997748i | \(-0.521368\pi\) |
−0.640730 | + | 0.767767i | \(0.721368\pi\) | |||||||
\(864\) | −252.106 | − | 252.106i | −0.291789 | − | 0.291789i | ||||
\(865\) | −170.404 | − | 123.806i | −0.196999 | − | 0.143128i | ||||
\(866\) | −452.909 | − | 329.057i | −0.522989 | − | 0.379974i | ||||
\(867\) | 424.172 | + | 832.485i | 0.489241 | + | 0.960190i | ||||
\(868\) | −171.806 | − | 75.0901i | −0.197933 | − | 0.0865093i | ||||
\(869\) | −692.147 | − | 952.659i | −0.796487 | − | 1.09627i | ||||
\(870\) | − | 605.538i | − | 0.696020i | ||||||
\(871\) | 486.794 | + | 670.015i | 0.558891 | + | 0.769247i | ||||
\(872\) | −211.770 | + | 1337.06i | −0.242855 | + | 1.53333i | ||||
\(873\) | 27.3740 | + | 172.833i | 0.0313563 | + | 0.197976i | ||||
\(874\) | −244.760 | + | 124.711i | −0.280046 | + | 0.142690i | ||||
\(875\) | −559.205 | − | 496.632i | −0.639092 | − | 0.567579i | ||||
\(876\) | −25.8071 | − | 162.940i | −0.0294602 | − | 0.186004i | ||||
\(877\) | 13.8923 | + | 42.7562i | 0.0158408 | + | 0.0487528i | 0.958664 | − | 0.284539i | \(-0.0918405\pi\) |
−0.942824 | + | 0.333292i | \(0.891841\pi\) | |||||||
\(878\) | 180.794 | − | 1141.49i | 0.205915 | − | 1.30010i | ||||
\(879\) | −86.7631 | + | 267.029i | −0.0987066 | + | 0.303788i | ||||
\(880\) | 373.612 | + | 190.365i | 0.424559 | + | 0.216324i | ||||
\(881\) | 489.560 | + | 1506.71i | 0.555687 | + | 1.71023i | 0.694123 | + | 0.719856i | \(0.255792\pi\) |
−0.138437 | + | 0.990371i | \(0.544208\pi\) | |||||||
\(882\) | −215.202 | + | 99.3609i | −0.243993 | + | 0.112654i | ||||
\(883\) | 226.043 | − | 443.635i | 0.255994 | − | 0.502417i | −0.726863 | − | 0.686782i | \(-0.759023\pi\) |
0.982858 | + | 0.184365i | \(0.0590227\pi\) | |||||||
\(884\) | −25.4085 | + | 78.1992i | −0.0287426 | + | 0.0884606i | ||||
\(885\) | −79.9896 | + | 505.035i | −0.0903838 | + | 0.570661i | ||||
\(886\) | −295.406 | − | 909.167i | −0.333416 | − | 1.02615i | ||||
\(887\) | 1022.25 | − | 161.908i | 1.15248 | − | 0.182534i | 0.449187 | − | 0.893438i | \(-0.351714\pi\) |
0.703290 | + | 0.710903i | \(0.251714\pi\) | |||||||
\(888\) | 637.989 | − | 637.989i | 0.718457 | − | 0.718457i | ||||
\(889\) | 857.156 | − | 502.722i | 0.964180 | − | 0.565491i | ||||
\(890\) | 568.805 | − | 90.0899i | 0.639107 | − | 0.101225i | ||||
\(891\) | 254.315 | − | 1605.68i | 0.285426 | − | 1.80211i | ||||
\(892\) | −72.4603 | − | 99.7330i | −0.0812335 | − | 0.111808i | ||||
\(893\) | 443.190i | 0.496293i | ||||||||
\(894\) | 404.021 | − | 293.538i | 0.451925 | − | 0.328342i | ||||
\(895\) | 338.553 | − | 664.448i | 0.378272 | − | 0.742400i | ||||
\(896\) | 189.375 | + | 322.891i | 0.211356 | + | 0.360369i | ||||
\(897\) | 346.881 | − | 477.441i | 0.386712 | − | 0.532264i | ||||
\(898\) | −723.217 | − | 525.448i | −0.805364 | − | 0.585131i | ||||
\(899\) | 744.532 | + | 744.532i | 0.828178 | + | 0.828178i | ||||
\(900\) | −55.8609 | − | 18.1503i | −0.0620677 | − | 0.0201670i | ||||
\(901\) | − | 232.539i | − | 0.258090i | ||||||
\(902\) | −886.686 | − | 741.734i | −0.983022 | − | 0.822321i | ||||
\(903\) | −706.662 | + | 41.8798i | −0.782572 | + | 0.0463785i | ||||
\(904\) | 411.024 | + | 133.550i | 0.454673 | + | 0.147732i | ||||
\(905\) | −303.770 | + | 303.770i | −0.335657 | + | 0.335657i | ||||
\(906\) | −967.168 | + | 1331.19i | −1.06751 | + | 1.46931i | ||||
\(907\) | −894.596 | + | 1231.31i | −0.986324 | + | 1.35756i | −0.0529715 | + | 0.998596i | \(0.516869\pi\) |
−0.933352 | + | 0.358962i | \(0.883131\pi\) | |||||||
\(908\) | −58.4656 | − | 114.745i | −0.0643894 | − | 0.126371i | ||||
\(909\) | −9.23025 | + | 18.1154i | −0.0101543 | + | 0.0199289i | ||||
\(910\) | 407.097 | − | 334.294i | 0.447360 | − | 0.367356i | ||||
\(911\) | − | 150.610i | − | 0.165324i | −0.996578 | − | 0.0826620i | \(-0.973658\pi\) | ||
0.996578 | − | 0.0826620i | \(-0.0263422\pi\) | |||||||
\(912\) | −498.385 | + | 362.098i | −0.546475 | + | 0.397037i | ||||
\(913\) | 1767.40 | + | 279.928i | 1.93581 | + | 0.306602i | ||||
\(914\) | −905.650 | + | 143.441i | −0.990864 | + | 0.156937i | ||||
\(915\) | 311.540 | − | 158.737i | 0.340481 | − | 0.173483i | ||||
\(916\) | −76.3430 | + | 76.3430i | −0.0833438 | + | 0.0833438i | ||||
\(917\) | 78.1435 | + | 355.665i | 0.0852164 | + | 0.387857i | ||||
\(918\) | −46.6803 | − | 143.667i | −0.0508500 | − | 0.156500i | ||||
\(919\) | −780.927 | − | 123.687i | −0.849757 | − | 0.134588i | −0.283658 | − | 0.958925i | \(-0.591548\pi\) |
−0.566099 | + | 0.824337i | \(0.691548\pi\) | |||||||
\(920\) | 188.342 | + | 61.1961i | 0.204720 | + | 0.0665174i | ||||
\(921\) | 581.959 | − | 1142.16i | 0.631877 | − | 1.24013i | ||||
\(922\) | −178.714 | − | 550.025i | −0.193833 | − | 0.596556i | ||||
\(923\) | −443.967 | − | 1366.39i | −0.481005 | − | 1.48038i | ||||
\(924\) | 172.472 | − | 394.616i | 0.186658 | − | 0.427074i | ||||
\(925\) | −178.712 | + | 550.018i | −0.193202 | + | 0.594614i | ||||
\(926\) | 309.414 | + | 49.0063i | 0.334140 | + | 0.0529226i | ||||
\(927\) | −191.496 | + | 62.2209i | −0.206576 | + | 0.0671207i | ||||
\(928\) | 111.955 | + | 706.854i | 0.120641 | + | 0.761696i | ||||
\(929\) | 637.722 | − | 637.722i | 0.686461 | − | 0.686461i | −0.274987 | − | 0.961448i | \(-0.588674\pi\) |
0.961448 | + | 0.274987i | \(0.0886735\pi\) | |||||||
\(930\) | 313.258 | − | 159.613i | 0.336836 | − | 0.171627i | ||||
\(931\) | 227.473 | + | 804.772i | 0.244332 | + | 0.864416i | ||||
\(932\) | −34.4957 | + | 217.797i | −0.0370126 | + | 0.233688i | ||||
\(933\) | −1254.40 | + | 911.375i | −1.34448 | + | 0.976822i | ||||
\(934\) | 1280.21 | 1.37068 | ||||||||
\(935\) | −97.9301 | − | 134.789i | −0.104738 | − | 0.144160i | ||||
\(936\) | 203.227 | − | 398.856i | 0.217123 | − | 0.426128i | ||||
\(937\) | −529.071 | − | 1038.36i | −0.564643 | − | 1.10817i | −0.980089 | − | 0.198557i | \(-0.936374\pi\) |
0.415446 | − | 0.909618i | \(-0.363626\pi\) | |||||||
\(938\) | −458.140 | − | 293.087i | −0.488422 | − | 0.312460i | ||||
\(939\) | −1412.52 | − | 1026.26i | −1.50428 | − | 1.09292i | ||||
\(940\) | 48.1470 | − | 48.1470i | 0.0512202 | − | 0.0512202i | ||||
\(941\) | −300.792 | + | 925.742i | −0.319651 | + | 0.983786i | 0.654146 | + | 0.756368i | \(0.273028\pi\) |
−0.973797 | + | 0.227417i | \(0.926972\pi\) | |||||||
\(942\) | 1151.95 | 1.22288 | ||||||||
\(943\) | −331.507 | − | 198.507i | −0.351545 | − | 0.210506i | ||||
\(944\) | 644.415i | 0.682643i | ||||||||
\(945\) | 90.6588 | − | 347.836i | 0.0959352 | − | 0.368080i | ||||
\(946\) | −586.143 | + | 586.143i | −0.619601 | + | 0.619601i | ||||
\(947\) | −171.253 | − | 124.423i | −0.180837 | − | 0.131386i | 0.493684 | − | 0.869641i | \(-0.335650\pi\) |
−0.674521 | + | 0.738255i | \(0.735650\pi\) | |||||||
\(948\) | −215.030 | − | 156.229i | −0.226825 | − | 0.164798i | ||||
\(949\) | −718.064 | + | 365.872i | −0.756653 | + | 0.385534i | ||||
\(950\) | 253.297 | − | 497.122i | 0.266628 | − | 0.523287i | ||||
\(951\) | −593.134 | + | 430.937i | −0.623695 | + | 0.453141i | ||||
\(952\) | −14.9893 | − | 252.923i | −0.0157450 | − | 0.265676i | ||||
\(953\) | 604.461 | − | 439.167i | 0.634272 | − | 0.460825i | −0.223606 | − | 0.974680i | \(-0.571783\pi\) |
0.857877 | + | 0.513854i | \(0.171783\pi\) | |||||||
\(954\) | −42.2066 | + | 266.482i | −0.0442417 | + | 0.279331i | ||||
\(955\) | 23.4094 | + | 147.801i | 0.0245124 | + | 0.154765i | ||||
\(956\) | −90.3416 | − | 177.305i | −0.0944996 | − | 0.185466i | ||||
\(957\) | −1710.10 | + | 1710.10i | −1.78693 | + | 1.78693i | ||||
\(958\) | 581.893 | − | 92.1628i | 0.607404 | − | 0.0962033i | ||||
\(959\) | −736.387 | + | 288.463i | −0.767870 | + | 0.300795i | ||||
\(960\) | 581.182 | + | 92.0501i | 0.605397 | + | 0.0958855i | ||||
\(961\) | 108.053 | − | 332.553i | 0.112438 | − | 0.346049i | ||||
\(962\) | −836.946 | − | 426.445i | −0.870006 | − | 0.443290i | ||||
\(963\) | −497.378 | + | 161.608i | −0.516488 | + | 0.167817i | ||||
\(964\) | 53.0820 | + | 163.370i | 0.0550644 | + | 0.169471i | ||||
\(965\) | 585.248 | + | 298.199i | 0.606475 | + | 0.309014i | ||||
\(966\) | −97.7445 | + | 375.022i | −0.101185 | + | 0.388222i | ||||
\(967\) | −354.056 | − | 56.0769i | −0.366138 | − | 0.0579906i | −0.0293454 | − | 0.999569i | \(-0.509342\pi\) |
−0.336793 | + | 0.941579i | \(0.609342\pi\) | |||||||
\(968\) | −406.614 | − | 1251.43i | −0.420056 | − | 1.29280i | ||||
\(969\) | 241.760 | − | 38.2911i | 0.249495 | − | 0.0395161i | ||||
\(970\) | 180.579 | + | 180.579i | 0.186164 | + | 0.186164i | ||||
\(971\) | −390.796 | + | 199.121i | −0.402468 | + | 0.205068i | −0.643494 | − | 0.765451i | \(-0.722516\pi\) |
0.241026 | + | 0.970519i | \(0.422516\pi\) | |||||||
\(972\) | −25.0446 | − | 158.126i | −0.0257661 | − | 0.162681i | ||||
\(973\) | 104.792 | − | 1067.14i | 0.107700 | − | 1.09676i | ||||
\(974\) | −622.050 | + | 451.946i | −0.638655 | + | 0.464010i | ||||
\(975\) | 1198.63i | 1.22936i | ||||||||
\(976\) | 356.496 | − | 259.009i | 0.365262 | − | 0.265378i | ||||
\(977\) | −1276.20 | − | 650.259i | −1.30625 | − | 0.665567i | −0.344316 | − | 0.938854i | \(-0.611889\pi\) |
−0.961933 | + | 0.273287i | \(0.911889\pi\) | |||||||
\(978\) | 57.6431 | + | 113.131i | 0.0589397 | + | 0.115676i | ||||
\(979\) | −1860.78 | − | 1351.94i | −1.90070 | − | 1.38094i | ||||
\(980\) | 62.7162 | − | 112.140i | 0.0639961 | − | 0.114429i | ||||
\(981\) | −312.316 | + | 312.316i | −0.318364 | + | 0.318364i | ||||
\(982\) | 1198.44 | + | 389.397i | 1.22041 | + | 0.396534i | ||||
\(983\) | − | 1249.71i | − | 1.27132i | −0.771967 | − | 0.635662i | \(-0.780727\pi\) | ||
0.771967 | − | 0.635662i | \(-0.219273\pi\) | |||||||
\(984\) | −1135.91 | − | 456.940i | −1.15438 | − | 0.464370i | ||||
\(985\) | 931.490i | 0.945675i | ||||||||
\(986\) | −93.7012 | + | 288.383i | −0.0950317 | + | 0.292477i | ||||
\(987\) | 467.505 | + | 415.193i | 0.473663 | + | 0.420661i | ||||
\(988\) | −272.308 | − | 197.844i | −0.275616 | − | 0.200246i | ||||
\(989\) | −162.856 | + | 224.153i | −0.164668 | + | 0.226646i | ||||
\(990\) | 87.7600 | + | 172.239i | 0.0886465 | + | 0.173978i | ||||
\(991\) | −933.839 | − | 475.815i | −0.942319 | − | 0.480136i | −0.0858355 | − | 0.996309i | \(-0.527356\pi\) |
−0.856484 | + | 0.516174i | \(0.827356\pi\) | |||||||
\(992\) | −336.161 | + | 244.235i | −0.338872 | + | 0.246205i | ||||
\(993\) | 1604.75 | 1.61607 | ||||||||
\(994\) | 598.753 | + | 729.151i | 0.602367 | + | 0.733553i | ||||
\(995\) | −99.6713 | + | 629.300i | −0.100172 | + | 0.632462i | ||||
\(996\) | 398.929 | − | 63.1841i | 0.400531 | − | 0.0634379i | ||||
\(997\) | −1291.04 | + | 657.818i | −1.29492 | + | 0.659797i | −0.959351 | − | 0.282217i | \(-0.908930\pi\) |
−0.335574 | + | 0.942014i | \(0.608930\pi\) | |||||||
\(998\) | 331.726 | + | 331.726i | 0.332391 | + | 0.332391i | ||||
\(999\) | −633.091 | + | 100.272i | −0.633725 | + | 0.100372i |
(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 | 287.3.t.a.20.18 | yes | 432 | |
7.6 | odd | 2 | inner | 287.3.t.a.20.17 | ✓ | 432 | |
41.39 | even | 20 | inner | 287.3.t.a.244.17 | yes | 432 | |
287.244 | odd | 20 | inner | 287.3.t.a.244.18 | yes | 432 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.3.t.a.20.17 | ✓ | 432 | 7.6 | odd | 2 | inner | |
287.3.t.a.20.18 | yes | 432 | 1.1 | even | 1 | trivial | |
287.3.t.a.244.17 | yes | 432 | 41.39 | even | 20 | inner | |
287.3.t.a.244.18 | yes | 432 | 287.244 | odd | 20 | inner |