Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [36,5,Mod(7,36)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(36, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 4]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("36.7");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 36 = 2^{2} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 36.f (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.72131867102\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 7.17 | ||
Character | \(\chi\) | \(=\) | 36.7 |
Dual form | 36.5.f.a.31.17 |
$q$-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 \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).
\(n\) | \(19\) | \(29\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.63137 | − | 3.01262i | 0.657842 | − | 0.753156i | ||||
\(3\) | −8.65442 | + | 2.47004i | −0.961602 | + | 0.274449i | ||||
\(4\) | −2.15179 | − | 15.8546i | −0.134487 | − | 0.990915i | ||||
\(5\) | −10.5756 | − | 18.3175i | −0.423024 | − | 0.732698i | 0.573210 | − | 0.819409i | \(-0.305698\pi\) |
−0.996234 | + | 0.0867102i | \(0.972365\pi\) | |||||||
\(6\) | −15.3317 | + | 32.5721i | −0.425879 | + | 0.904780i | ||||
\(7\) | −38.6407 | − | 22.3092i | −0.788586 | − | 0.455290i | 0.0508787 | − | 0.998705i | \(-0.483798\pi\) |
−0.839464 | + | 0.543415i | \(0.817131\pi\) | |||||||
\(8\) | −53.4262 | − | 35.2369i | −0.834785 | − | 0.550576i | ||||
\(9\) | 68.7978 | − | 42.7535i | 0.849356 | − | 0.527821i | ||||
\(10\) | −83.0119 | − | 16.3397i | −0.830119 | − | 0.163397i | ||||
\(11\) | 58.6904 | + | 33.8849i | 0.485045 | + | 0.280041i | 0.722516 | − | 0.691354i | \(-0.242985\pi\) |
−0.237472 | + | 0.971394i | \(0.576319\pi\) | |||||||
\(12\) | 57.7841 | + | 131.898i | 0.401279 | + | 0.915956i | ||||
\(13\) | 14.5519 | + | 25.2046i | 0.0861058 | + | 0.149140i | 0.905862 | − | 0.423573i | \(-0.139224\pi\) |
−0.819756 | + | 0.572713i | \(0.805891\pi\) | |||||||
\(14\) | −168.887 | + | 57.7061i | −0.861669 | + | 0.294419i | ||||
\(15\) | 136.770 | + | 132.405i | 0.607868 | + | 0.588466i | ||||
\(16\) | −246.740 | + | 68.2318i | −0.963826 | + | 0.266531i | ||||
\(17\) | 402.841 | 1.39391 | 0.696957 | − | 0.717113i | \(-0.254537\pi\) | ||||
0.696957 | + | 0.717113i | \(0.254537\pi\) | |||||||
\(18\) | 52.2322 | − | 319.762i | 0.161211 | − | 0.986920i | ||||
\(19\) | − | 644.741i | − | 1.78599i | −0.450070 | − | 0.892993i | \(-0.648601\pi\) | ||
0.450070 | − | 0.892993i | \(-0.351399\pi\) | |||||||
\(20\) | −267.660 | + | 207.088i | −0.669151 | + | 0.517719i | ||||
\(21\) | 389.517 | + | 97.6292i | 0.883259 | + | 0.221381i | ||||
\(22\) | 256.519 | − | 87.6483i | 0.529997 | − | 0.181092i | ||||
\(23\) | −335.527 | + | 193.717i | −0.634267 | + | 0.366194i | −0.782403 | − | 0.622773i | \(-0.786006\pi\) |
0.148136 | + | 0.988967i | \(0.452673\pi\) | |||||||
\(24\) | 549.409 | + | 172.990i | 0.953836 | + | 0.300329i | ||||
\(25\) | 88.8138 | − | 153.830i | 0.142102 | − | 0.246128i | ||||
\(26\) | 114.223 | + | 22.4833i | 0.168969 | + | 0.0332593i | ||||
\(27\) | −489.802 | + | 539.940i | −0.671882 | + | 0.740658i | ||||
\(28\) | −270.558 | + | 660.639i | −0.345099 | + | 0.842652i | ||||
\(29\) | −362.210 | + | 627.366i | −0.430690 | + | 0.745977i | −0.996933 | − | 0.0782617i | \(-0.975063\pi\) |
0.566243 | + | 0.824238i | \(0.308396\pi\) | |||||||
\(30\) | 758.779 | − | 63.6318i | 0.843088 | − | 0.0707020i | ||||
\(31\) | 1090.90 | − | 629.833i | 1.13517 | − | 0.655393i | 0.189944 | − | 0.981795i | \(-0.439169\pi\) |
0.945231 | + | 0.326402i | \(0.105836\pi\) | |||||||
\(32\) | −443.706 | + | 922.876i | −0.433307 | + | 0.901246i | ||||
\(33\) | −591.628 | − | 148.287i | −0.543277 | − | 0.136168i | ||||
\(34\) | 1060.02 | − | 1213.61i | 0.916976 | − | 1.04983i | ||||
\(35\) | 943.733i | 0.770394i | ||||||||
\(36\) | −825.880 | − | 998.768i | −0.637253 | − | 0.770654i | ||||
\(37\) | −1402.04 | −1.02413 | −0.512066 | − | 0.858946i | \(-0.671120\pi\) | ||||
−0.512066 | + | 0.858946i | \(0.671120\pi\) | |||||||
\(38\) | −1942.36 | − | 1696.55i | −1.34513 | − | 1.17490i | ||||
\(39\) | −188.194 | − | 182.187i | −0.123731 | − | 0.119781i | ||||
\(40\) | −80.4363 | + | 1351.28i | −0.0502727 | + | 0.844552i | ||||
\(41\) | −774.166 | − | 1340.89i | −0.460539 | − | 0.797677i | 0.538449 | − | 0.842658i | \(-0.319010\pi\) |
−0.998988 | + | 0.0449815i | \(0.985677\pi\) | |||||||
\(42\) | 1319.08 | − | 916.570i | 0.747780 | − | 0.519598i | ||||
\(43\) | −1620.98 | − | 935.875i | −0.876681 | − | 0.506152i | −0.00711825 | − | 0.999975i | \(-0.502266\pi\) |
−0.869563 | + | 0.493823i | \(0.835599\pi\) | |||||||
\(44\) | 410.944 | − | 1003.43i | 0.212264 | − | 0.518300i | ||||
\(45\) | −1510.71 | − | 808.057i | −0.746031 | − | 0.399041i | ||||
\(46\) | −299.300 | + | 1520.56i | −0.141446 | + | 0.718599i | ||||
\(47\) | 3610.63 | + | 2084.60i | 1.63451 | + | 0.943683i | 0.982679 | + | 0.185316i | \(0.0593310\pi\) |
0.651828 | + | 0.758367i | \(0.274002\pi\) | |||||||
\(48\) | 1966.85 | − | 1199.96i | 0.853668 | − | 0.520817i | ||||
\(49\) | −205.097 | − | 355.239i | −0.0854217 | − | 0.147955i | ||||
\(50\) | −229.730 | − | 672.346i | −0.0918920 | − | 0.268938i | ||||
\(51\) | −3486.36 | + | 995.034i | −1.34039 | + | 0.382558i | ||||
\(52\) | 368.297 | − | 284.950i | 0.136205 | − | 0.105381i | ||||
\(53\) | 906.566 | 0.322736 | 0.161368 | − | 0.986894i | \(-0.448409\pi\) | ||||
0.161368 | + | 0.986894i | \(0.448409\pi\) | |||||||
\(54\) | 337.786 | + | 2896.37i | 0.115839 | + | 0.993268i | ||||
\(55\) | − | 1433.41i | − | 0.473855i | ||||||
\(56\) | 1278.32 | + | 2553.48i | 0.407627 | + | 0.814246i | ||||
\(57\) | 1592.54 | + | 5579.86i | 0.490162 | + | 1.71741i | ||||
\(58\) | 936.910 | + | 2742.03i | 0.278511 | + | 0.815111i | ||||
\(59\) | 3916.45 | − | 2261.16i | 1.12509 | − | 0.649573i | 0.182397 | − | 0.983225i | \(-0.441614\pi\) |
0.942696 | + | 0.333652i | \(0.108281\pi\) | |||||||
\(60\) | 1804.93 | − | 2453.35i | 0.501369 | − | 0.681487i | ||||
\(61\) | −1314.22 | + | 2276.30i | −0.353190 | + | 0.611743i | −0.986806 | − | 0.161904i | \(-0.948236\pi\) |
0.633617 | + | 0.773647i | \(0.281570\pi\) | |||||||
\(62\) | 973.119 | − | 4943.80i | 0.253153 | − | 1.28611i | ||||
\(63\) | −3612.19 | + | 117.200i | −0.910101 | + | 0.0295289i | ||||
\(64\) | 1612.72 | + | 3765.15i | 0.393731 | + | 0.919226i | ||||
\(65\) | 307.789 | − | 533.107i | 0.0728496 | − | 0.126179i | ||||
\(66\) | −2003.52 | + | 1392.16i | −0.459946 | + | 0.319595i | ||||
\(67\) | 58.7165 | − | 33.9000i | 0.0130801 | − | 0.00755179i | −0.493446 | − | 0.869777i | \(-0.664263\pi\) |
0.506526 | + | 0.862225i | \(0.330930\pi\) | |||||||
\(68\) | −866.831 | − | 6386.91i | −0.187463 | − | 1.38125i | ||||
\(69\) | 2425.30 | − | 2505.27i | 0.509410 | − | 0.526206i | ||||
\(70\) | 2843.11 | + | 2483.31i | 0.580227 | + | 0.506798i | ||||
\(71\) | − | 1315.04i | − | 0.260869i | −0.991457 | − | 0.130434i | \(-0.958363\pi\) | ||
0.991457 | − | 0.130434i | \(-0.0416372\pi\) | |||||||
\(72\) | −5182.11 | − | 140.062i | −0.999635 | − | 0.0270181i | ||||
\(73\) | 9470.72 | 1.77720 | 0.888602 | − | 0.458680i | \(-0.151678\pi\) | ||||
0.888602 | + | 0.458680i | \(0.151678\pi\) | |||||||
\(74\) | −3689.27 | + | 4223.80i | −0.673717 | + | 0.771330i | ||||
\(75\) | −388.665 | + | 1550.68i | −0.0690960 | + | 0.275677i | ||||
\(76\) | −10222.1 | + | 1387.35i | −1.76976 | + | 0.240192i | ||||
\(77\) | −1511.89 | − | 2618.67i | −0.255000 | − | 0.441672i | ||||
\(78\) | −1044.07 | + | 87.5566i | −0.171609 | + | 0.0143913i | ||||
\(79\) | 3783.95 | + | 2184.67i | 0.606305 | + | 0.350050i | 0.771518 | − | 0.636207i | \(-0.219498\pi\) |
−0.165213 | + | 0.986258i | \(0.552831\pi\) | |||||||
\(80\) | 3859.25 | + | 3798.05i | 0.603008 | + | 0.593445i | ||||
\(81\) | 2905.28 | − | 5882.69i | 0.442810 | − | 0.896616i | ||||
\(82\) | −6076.73 | − | 1196.12i | −0.903737 | − | 0.177888i | ||||
\(83\) | 659.925 | + | 381.008i | 0.0957940 | + | 0.0553067i | 0.547132 | − | 0.837047i | \(-0.315720\pi\) |
−0.451338 | + | 0.892353i | \(0.649053\pi\) | |||||||
\(84\) | 709.715 | − | 6385.74i | 0.100583 | − | 0.905008i | ||||
\(85\) | −4260.28 | − | 7379.03i | −0.589659 | − | 1.02132i | ||||
\(86\) | −7084.84 | + | 2420.78i | −0.957929 | + | 0.327309i | ||||
\(87\) | 1585.10 | − | 6324.16i | 0.209420 | − | 0.835535i | ||||
\(88\) | −1941.61 | − | 3878.41i | −0.250724 | − | 0.500828i | ||||
\(89\) | 8083.40 | 1.02050 | 0.510251 | − | 0.860025i | \(-0.329552\pi\) | ||||
0.510251 | + | 0.860025i | \(0.329552\pi\) | |||||||
\(90\) | −6409.62 | + | 2424.91i | −0.791311 | + | 0.299372i | ||||
\(91\) | − | 1298.56i | − | 0.156813i | ||||||
\(92\) | 3793.29 | + | 4902.82i | 0.448168 | + | 0.579256i | ||||
\(93\) | −7885.41 | + | 8145.41i | −0.911714 | + | 0.941775i | ||||
\(94\) | 15781.0 | − | 5392.11i | 1.78599 | − | 0.610244i | ||||
\(95\) | −11810.0 | + | 6818.52i | −1.30859 | + | 0.755514i | ||||
\(96\) | 1560.48 | − | 9082.93i | 0.169322 | − | 0.985561i | ||||
\(97\) | −3332.71 | + | 5772.42i | −0.354204 | + | 0.613500i | −0.986981 | − | 0.160834i | \(-0.948582\pi\) |
0.632777 | + | 0.774334i | \(0.281915\pi\) | |||||||
\(98\) | −1609.89 | − | 316.884i | −0.167627 | − | 0.0329950i | ||||
\(99\) | 5486.47 | − | 178.012i | 0.559787 | − | 0.0181627i | ||||
\(100\) | −2630.03 | − | 1077.10i | −0.263003 | − | 0.107710i | ||||
\(101\) | −4643.04 | + | 8041.97i | −0.455155 | + | 0.788352i | −0.998697 | − | 0.0510303i | \(-0.983749\pi\) |
0.543542 | + | 0.839382i | \(0.317083\pi\) | |||||||
\(102\) | −6176.23 | + | 13121.4i | −0.593640 | + | 1.26119i | ||||
\(103\) | −9792.48 | + | 5653.69i | −0.923035 | + | 0.532915i | −0.884602 | − | 0.466346i | \(-0.845570\pi\) |
−0.0384332 | + | 0.999261i | \(0.512237\pi\) | |||||||
\(104\) | 110.679 | − | 1859.35i | 0.0102329 | − | 0.171907i | ||||
\(105\) | −2331.06 | − | 8167.45i | −0.211434 | − | 0.740812i | ||||
\(106\) | 2385.51 | − | 2731.14i | 0.212310 | − | 0.243071i | ||||
\(107\) | − | 6261.61i | − | 0.546913i | −0.961884 | − | 0.273456i | \(-0.911833\pi\) | ||
0.961884 | − | 0.273456i | \(-0.0881669\pi\) | |||||||
\(108\) | 9614.51 | + | 6603.80i | 0.824289 | + | 0.566169i | ||||
\(109\) | 3452.85 | 0.290620 | 0.145310 | − | 0.989386i | \(-0.453582\pi\) | ||||
0.145310 | + | 0.989386i | \(0.453582\pi\) | |||||||
\(110\) | −4318.33 | − | 3771.84i | −0.356887 | − | 0.311722i | ||||
\(111\) | 12133.8 | − | 3463.08i | 0.984806 | − | 0.281072i | ||||
\(112\) | 11056.4 | + | 2868.04i | 0.881409 | + | 0.228639i | ||||
\(113\) | 1272.55 | + | 2204.13i | 0.0996597 | + | 0.172616i | 0.911544 | − | 0.411203i | \(-0.134891\pi\) |
−0.811884 | + | 0.583819i | \(0.801558\pi\) | |||||||
\(114\) | 21000.6 | + | 9884.95i | 1.61592 | + | 0.760615i | ||||
\(115\) | 7096.79 | + | 4097.33i | 0.536619 | + | 0.309817i | ||||
\(116\) | 10726.1 | + | 4392.75i | 0.797122 | + | 0.326453i | ||||
\(117\) | 2078.72 | + | 1111.88i | 0.151853 | + | 0.0812241i | ||||
\(118\) | 3493.59 | − | 17748.7i | 0.250904 | − | 1.27469i | ||||
\(119\) | −15566.1 | − | 8987.07i | −1.09922 | − | 0.634636i | ||||
\(120\) | −2641.60 | − | 11893.2i | −0.183444 | − | 0.825920i | ||||
\(121\) | −5024.12 | − | 8702.04i | −0.343154 | − | 0.594361i | ||||
\(122\) | 3399.42 | + | 9949.02i | 0.228394 | + | 0.668437i | ||||
\(123\) | 10012.0 | + | 9692.44i | 0.661776 | + | 0.640653i | ||||
\(124\) | −12333.2 | − | 15940.6i | −0.802106 | − | 1.03672i | ||||
\(125\) | −16976.5 | −1.08650 | ||||||||
\(126\) | −9151.93 | + | 11190.6i | −0.576463 | + | 0.704873i | ||||
\(127\) | 530.060i | 0.0328638i | 0.999865 | + | 0.0164319i | \(0.00523067\pi\) | ||||
−0.999865 | + | 0.0164319i | \(0.994769\pi\) | |||||||
\(128\) | 15586.6 | + | 5048.97i | 0.951333 | + | 0.308164i | ||||
\(129\) | 16340.3 | + | 4095.56i | 0.981931 | + | 0.246112i | ||||
\(130\) | −796.142 | − | 2330.05i | −0.0471090 | − | 0.137873i | ||||
\(131\) | −802.198 | + | 463.149i | −0.0467454 | + | 0.0269885i | −0.523191 | − | 0.852216i | \(-0.675258\pi\) |
0.476445 | + | 0.879204i | \(0.341925\pi\) | |||||||
\(132\) | −1077.97 | + | 9699.14i | −0.0618669 | + | 0.556654i | ||||
\(133\) | −14383.7 | + | 24913.2i | −0.813142 | + | 1.40840i | ||||
\(134\) | 52.3769 | − | 266.094i | 0.00291696 | − | 0.0148192i | ||||
\(135\) | 15070.3 | + | 3261.74i | 0.826901 | + | 0.178971i | ||||
\(136\) | −21522.3 | − | 14194.9i | −1.16362 | − | 0.767456i | ||||
\(137\) | −834.113 | + | 1444.73i | −0.0444410 | + | 0.0769741i | −0.887390 | − | 0.461019i | \(-0.847484\pi\) |
0.842949 | + | 0.537993i | \(0.180817\pi\) | |||||||
\(138\) | −1165.57 | − | 13898.8i | −0.0612038 | − | 0.729826i | ||||
\(139\) | 717.766 | − | 414.402i | 0.0371495 | − | 0.0214483i | −0.481310 | − | 0.876550i | \(-0.659839\pi\) |
0.518460 | + | 0.855102i | \(0.326506\pi\) | |||||||
\(140\) | 14962.5 | − | 2030.72i | 0.763395 | − | 0.103608i | ||||
\(141\) | −36396.9 | − | 9122.57i | −1.83074 | − | 0.458859i | ||||
\(142\) | −3961.72 | − | 3460.36i | −0.196475 | − | 0.171611i | ||||
\(143\) | 1972.36i | 0.0964525i | ||||||||
\(144\) | −14058.0 | + | 15243.2i | −0.677951 | + | 0.735107i | ||||
\(145\) | 15322.3 | 0.728768 | ||||||||
\(146\) | 24920.9 | − | 28531.7i | 1.16912 | − | 1.33851i | ||||
\(147\) | 2652.45 | + | 2567.79i | 0.122748 | + | 0.118830i | ||||
\(148\) | 3016.89 | + | 22228.8i | 0.137732 | + | 1.01483i | ||||
\(149\) | −1561.38 | − | 2704.39i | −0.0703292 | − | 0.121814i | 0.828716 | − | 0.559669i | \(-0.189072\pi\) |
−0.899046 | + | 0.437855i | \(0.855738\pi\) | |||||||
\(150\) | 3648.90 | + | 5251.32i | 0.162173 | + | 0.233392i | ||||
\(151\) | −7932.37 | − | 4579.76i | −0.347896 | − | 0.200858i | 0.315862 | − | 0.948805i | \(-0.397706\pi\) |
−0.663758 | + | 0.747947i | \(0.731040\pi\) | |||||||
\(152\) | −22718.7 | + | 34446.1i | −0.983322 | + | 1.49091i | ||||
\(153\) | 27714.6 | − | 17222.9i | 1.18393 | − | 0.735737i | ||||
\(154\) | −11867.4 | − | 2335.94i | −0.500397 | − | 0.0984963i | ||||
\(155\) | −23073.9 | − | 13321.7i | −0.960411 | − | 0.554494i | ||||
\(156\) | −2483.56 | + | 3375.78i | −0.102053 | + | 0.138716i | ||||
\(157\) | −10551.8 | − | 18276.3i | −0.428084 | − | 0.741463i | 0.568619 | − | 0.822601i | \(-0.307478\pi\) |
−0.996703 | + | 0.0811381i | \(0.974145\pi\) | |||||||
\(158\) | 16538.5 | − | 5650.96i | 0.662496 | − | 0.226364i | ||||
\(159\) | −7845.80 | + | 2239.25i | −0.310344 | + | 0.0885746i | ||||
\(160\) | 21597.2 | − | 1632.39i | 0.843641 | − | 0.0637653i | ||||
\(161\) | 17286.7 | 0.666898 | ||||||||
\(162\) | −10077.5 | − | 24232.0i | −0.383992 | − | 0.923336i | ||||
\(163\) | 42771.0i | 1.60981i | 0.593405 | + | 0.804904i | \(0.297783\pi\) | ||||
−0.593405 | + | 0.804904i | \(0.702217\pi\) | |||||||
\(164\) | −19593.6 | + | 15159.5i | −0.728494 | + | 0.563632i | ||||
\(165\) | 3540.59 | + | 12405.3i | 0.130049 | + | 0.455660i | ||||
\(166\) | 2884.34 | − | 985.532i | 0.104672 | − | 0.0357647i | ||||
\(167\) | 9568.12 | − | 5524.16i | 0.343079 | − | 0.198077i | −0.318554 | − | 0.947905i | \(-0.603197\pi\) |
0.661633 | + | 0.749828i | \(0.269864\pi\) | |||||||
\(168\) | −17370.3 | − | 18941.3i | −0.615444 | − | 0.671107i | ||||
\(169\) | 13857.0 | − | 24001.0i | 0.485172 | − | 0.840342i | ||||
\(170\) | −33440.6 | − | 6582.32i | −1.15711 | − | 0.227762i | ||||
\(171\) | −27564.9 | − | 44356.8i | −0.942681 | − | 1.51694i | ||||
\(172\) | −11349.9 | + | 27713.9i | −0.383651 | + | 0.936787i | ||||
\(173\) | 10967.8 | − | 18996.8i | 0.366461 | − | 0.634729i | −0.622549 | − | 0.782581i | \(-0.713903\pi\) |
0.989009 | + | 0.147852i | \(0.0472360\pi\) | |||||||
\(174\) | −14881.3 | − | 21416.5i | −0.491523 | − | 0.707376i | ||||
\(175\) | −6863.66 | + | 3962.73i | −0.224119 | + | 0.129395i | ||||
\(176\) | −16793.3 | − | 4356.20i | −0.542138 | − | 0.140631i | ||||
\(177\) | −28309.4 | + | 29242.8i | −0.903617 | + | 0.933411i | ||||
\(178\) | 21270.4 | − | 24352.2i | 0.671329 | − | 0.768597i | ||||
\(179\) | − | 11479.2i | − | 0.358265i | −0.983825 | − | 0.179133i | \(-0.942671\pi\) | ||
0.983825 | − | 0.179133i | \(-0.0573291\pi\) | |||||||
\(180\) | −9560.72 | + | 25690.6i | −0.295084 | + | 0.792919i | ||||
\(181\) | 45472.2 | 1.38800 | 0.693999 | − | 0.719976i | \(-0.255847\pi\) | ||||
0.693999 | + | 0.719976i | \(0.255847\pi\) | |||||||
\(182\) | −3912.08 | − | 3417.00i | −0.118104 | − | 0.103158i | ||||
\(183\) | 5751.26 | − | 22946.2i | 0.171736 | − | 0.685186i | ||||
\(184\) | 24751.9 | + | 1473.38i | 0.731094 | + | 0.0435190i | ||||
\(185\) | 14827.4 | + | 25681.7i | 0.433232 | + | 0.750379i | ||||
\(186\) | 3789.62 | + | 45189.4i | 0.109539 | + | 1.30620i | ||||
\(187\) | 23642.9 | + | 13650.2i | 0.676111 | + | 0.390353i | ||||
\(188\) | 25281.2 | − | 61730.8i | 0.715290 | − | 1.74657i | ||||
\(189\) | 30971.9 | − | 9936.56i | 0.867051 | − | 0.278171i | ||||
\(190\) | −10534.9 | + | 53521.2i | −0.291825 | + | 1.48258i | ||||
\(191\) | 60657.0 | + | 35020.3i | 1.66270 | + | 0.959961i | 0.971418 | + | 0.237376i | \(0.0762875\pi\) |
0.691283 | + | 0.722584i | \(0.257046\pi\) | |||||||
\(192\) | −23257.2 | − | 28601.7i | −0.630893 | − | 0.775870i | ||||
\(193\) | 17426.4 | + | 30183.5i | 0.467836 | + | 0.810316i | 0.999325 | − | 0.0367497i | \(-0.0117004\pi\) |
−0.531488 | + | 0.847066i | \(0.678367\pi\) | |||||||
\(194\) | 8620.54 | + | 25229.6i | 0.229050 | + | 0.670357i | ||||
\(195\) | −1346.94 | + | 5373.98i | −0.0354225 | + | 0.141328i | ||||
\(196\) | −5190.87 | + | 4016.15i | −0.135122 | + | 0.104544i | ||||
\(197\) | −30858.0 | −0.795124 | −0.397562 | − | 0.917575i | \(-0.630144\pi\) | ||||
−0.397562 | + | 0.917575i | \(0.630144\pi\) | |||||||
\(198\) | 13900.6 | − | 16997.1i | 0.354572 | − | 0.433555i | ||||
\(199\) | − | 34262.5i | − | 0.865192i | −0.901588 | − | 0.432596i | \(-0.857598\pi\) | ||
0.901588 | − | 0.432596i | \(-0.142402\pi\) | |||||||
\(200\) | −10165.5 | + | 5089.04i | −0.254137 | + | 0.127226i | ||||
\(201\) | −424.422 | + | 438.416i | −0.0105052 | + | 0.0108516i | ||||
\(202\) | 12009.9 | + | 35149.1i | 0.294331 | + | 0.861414i | ||||
\(203\) | 27992.1 | − | 16161.2i | 0.679272 | − | 0.392178i | ||||
\(204\) | 23277.8 | + | 53133.8i | 0.559348 | + | 1.27676i | ||||
\(205\) | −16374.5 | + | 28361.5i | −0.389638 | + | 0.674872i | ||||
\(206\) | −8735.19 | + | 44378.0i | −0.205844 | + | 1.04576i | ||||
\(207\) | −14801.5 | + | 27672.2i | −0.345433 | + | 0.645808i | ||||
\(208\) | −5310.28 | − | 5226.07i | −0.122741 | − | 0.120795i | ||||
\(209\) | 21847.0 | − | 37840.1i | 0.500149 | − | 0.866283i | ||||
\(210\) | −30739.3 | − | 14469.0i | −0.697037 | − | 0.328095i | ||||
\(211\) | 14989.6 | − | 8654.27i | 0.336687 | − | 0.194386i | −0.322119 | − | 0.946699i | \(-0.604395\pi\) |
0.658806 | + | 0.752313i | \(0.271062\pi\) | |||||||
\(212\) | −1950.74 | − | 14373.3i | −0.0434038 | − | 0.319804i | ||||
\(213\) | 3248.20 | + | 11380.9i | 0.0715952 | + | 0.250852i | ||||
\(214\) | −18863.9 | − | 16476.6i | −0.411911 | − | 0.359782i | ||||
\(215\) | 39589.7i | 0.856457i | ||||||||
\(216\) | 45194.1 | − | 11587.9i | 0.968666 | − | 0.248368i | ||||
\(217\) | −56204.3 | −1.19358 | ||||||||
\(218\) | 9085.73 | − | 10402.1i | 0.191182 | − | 0.218882i | ||||
\(219\) | −81963.5 | + | 23393.0i | −1.70896 | + | 0.487751i | ||||
\(220\) | −22726.2 | + | 3084.41i | −0.469550 | + | 0.0637274i | ||||
\(221\) | 5862.10 | + | 10153.5i | 0.120024 | + | 0.207888i | ||||
\(222\) | 21495.5 | − | 45667.2i | 0.436156 | − | 0.926613i | ||||
\(223\) | −55484.8 | − | 32034.1i | −1.11574 | − | 0.644174i | −0.175432 | − | 0.984492i | \(-0.556132\pi\) |
−0.940311 | + | 0.340317i | \(0.889466\pi\) | |||||||
\(224\) | 37733.8 | − | 25761.9i | 0.752028 | − | 0.513430i | ||||
\(225\) | −466.578 | − | 14380.3i | −0.00921636 | − | 0.284055i | ||||
\(226\) | 9988.77 | + | 1966.15i | 0.195567 | + | 0.0384946i | ||||
\(227\) | −11857.8 | − | 6846.11i | −0.230119 | − | 0.132859i | 0.380508 | − | 0.924778i | \(-0.375749\pi\) |
−0.610627 | + | 0.791918i | \(0.709083\pi\) | |||||||
\(228\) | 85039.8 | − | 37255.8i | 1.63588 | − | 0.716678i | ||||
\(229\) | −32996.2 | − | 57151.0i | −0.629205 | − | 1.08982i | −0.987711 | − | 0.156288i | \(-0.950047\pi\) |
0.358506 | − | 0.933527i | \(-0.383286\pi\) | |||||||
\(230\) | 31018.0 | − | 10598.4i | 0.586352 | − | 0.200347i | ||||
\(231\) | 19552.8 | + | 18928.7i | 0.366424 | + | 0.354728i | ||||
\(232\) | 41458.0 | − | 20754.7i | 0.770250 | − | 0.385602i | ||||
\(233\) | −63342.4 | −1.16676 | −0.583381 | − | 0.812198i | \(-0.698271\pi\) | ||||
−0.583381 | + | 0.812198i | \(0.698271\pi\) | |||||||
\(234\) | 8819.55 | − | 3336.65i | 0.161070 | − | 0.0609367i | ||||
\(235\) | − | 88183.3i | − | 1.59680i | ||||||
\(236\) | −44277.3 | − | 57228.4i | −0.794982 | − | 1.02751i | ||||
\(237\) | −38144.1 | − | 9560.49i | −0.679095 | − | 0.170209i | ||||
\(238\) | −68034.7 | + | 23246.4i | −1.20109 | + | 0.410394i | ||||
\(239\) | −275.008 | + | 158.776i | −0.00481448 | + | 0.00277964i | −0.502405 | − | 0.864632i | \(-0.667551\pi\) |
0.497591 | + | 0.867412i | \(0.334218\pi\) | |||||||
\(240\) | −42780.9 | − | 23337.4i | −0.742724 | − | 0.405163i | ||||
\(241\) | −12752.6 | + | 22088.2i | −0.219566 | + | 0.380300i | −0.954675 | − | 0.297649i | \(-0.903798\pi\) |
0.735109 | + | 0.677949i | \(0.237131\pi\) | |||||||
\(242\) | −39436.3 | − | 7762.48i | −0.673388 | − | 0.132547i | ||||
\(243\) | −10613.0 | + | 58087.4i | −0.179732 | + | 0.983716i | ||||
\(244\) | 38917.8 | + | 15938.4i | 0.653685 | + | 0.267710i | ||||
\(245\) | −4338.05 | + | 7513.73i | −0.0722708 | + | 0.125177i | ||||
\(246\) | 55545.0 | − | 4658.05i | 0.917856 | − | 0.0769721i | ||||
\(247\) | 16250.4 | − | 9382.19i | 0.266361 | − | 0.153784i | ||||
\(248\) | −80476.2 | − | 4790.41i | −1.30847 | − | 0.0778878i | ||||
\(249\) | −6652.37 | − | 1667.36i | −0.107295 | − | 0.0268924i | ||||
\(250\) | −44671.5 | + | 51143.9i | −0.714744 | + | 0.818302i | ||||
\(251\) | 40987.7i | 0.650588i | 0.945613 | + | 0.325294i | \(0.105463\pi\) | ||||
−0.945613 | + | 0.325294i | \(0.894537\pi\) | |||||||
\(252\) | 9630.86 | + | 57017.8i | 0.151657 | + | 0.897862i | ||||
\(253\) | −26256.3 | −0.410197 | ||||||||
\(254\) | 1596.87 | + | 1394.78i | 0.0247516 | + | 0.0216192i | ||||
\(255\) | 55096.8 | + | 53338.1i | 0.847317 | + | 0.820271i | ||||
\(256\) | 56224.8 | − | 33671.0i | 0.857923 | − | 0.513778i | ||||
\(257\) | −15479.1 | − | 26810.5i | −0.234357 | − | 0.405919i | 0.724728 | − | 0.689035i | \(-0.241965\pi\) |
−0.959086 | + | 0.283116i | \(0.908632\pi\) | |||||||
\(258\) | 55335.7 | − | 38450.3i | 0.831316 | − | 0.577643i | ||||
\(259\) | 54175.6 | + | 31278.3i | 0.807615 | + | 0.466277i | ||||
\(260\) | −9114.52 | − | 3732.76i | −0.134830 | − | 0.0552183i | ||||
\(261\) | 1902.85 | + | 58647.2i | 0.0279334 | + | 0.860926i | ||||
\(262\) | −715.585 | + | 3635.44i | −0.0104246 | + | 0.0529607i | ||||
\(263\) | 13311.8 | + | 7685.54i | 0.192453 | + | 0.111113i | 0.593130 | − | 0.805107i | \(-0.297892\pi\) |
−0.400678 | + | 0.916219i | \(0.631225\pi\) | |||||||
\(264\) | 26383.3 | + | 28769.5i | 0.378548 | + | 0.412786i | ||||
\(265\) | −9587.47 | − | 16606.0i | −0.136525 | − | 0.236468i | ||||
\(266\) | 37205.5 | + | 108889.i | 0.525828 | + | 1.53893i | ||||
\(267\) | −69957.1 | + | 19966.3i | −0.981317 | + | 0.280076i | ||||
\(268\) | −663.818 | − | 857.983i | −0.00924228 | − | 0.0119456i | ||||
\(269\) | 76105.5 | 1.05175 | 0.525873 | − | 0.850563i | \(-0.323739\pi\) | ||||
0.525873 | + | 0.850563i | \(0.323739\pi\) | |||||||
\(270\) | 49481.8 | − | 36818.2i | 0.678763 | − | 0.505051i | ||||
\(271\) | − | 78076.4i | − | 1.06312i | −0.847021 | − | 0.531559i | \(-0.821606\pi\) | ||
0.847021 | − | 0.531559i | \(-0.178394\pi\) | |||||||
\(272\) | −99396.9 | + | 27486.6i | −1.34349 | + | 0.371521i | ||||
\(273\) | 3207.51 | + | 11238.3i | 0.0430370 | + | 0.150791i | ||||
\(274\) | 2157.56 | + | 6314.48i | 0.0287383 | + | 0.0841078i | ||||
\(275\) | 10425.0 | − | 6018.90i | 0.137852 | − | 0.0795887i | ||||
\(276\) | −44938.9 | − | 33061.5i | −0.589935 | − | 0.434014i | ||||
\(277\) | −2369.97 | + | 4104.90i | −0.0308875 | + | 0.0534987i | −0.881056 | − | 0.473012i | \(-0.843167\pi\) |
0.850168 | + | 0.526511i | \(0.176500\pi\) | |||||||
\(278\) | 640.269 | − | 3252.80i | 0.00828463 | − | 0.0420890i | ||||
\(279\) | 48124.2 | − | 89971.1i | 0.618237 | − | 1.15583i | ||||
\(280\) | 33254.2 | − | 50420.1i | 0.424161 | − | 0.643113i | ||||
\(281\) | −21604.6 | + | 37420.3i | −0.273612 | + | 0.473909i | −0.969784 | − | 0.243966i | \(-0.921552\pi\) |
0.696172 | + | 0.717875i | \(0.254885\pi\) | |||||||
\(282\) | −123257. | + | 85645.3i | −1.54993 | + | 1.07697i | ||||
\(283\) | 31277.1 | − | 18057.8i | 0.390529 | − | 0.225472i | −0.291860 | − | 0.956461i | \(-0.594274\pi\) |
0.682389 | + | 0.730989i | \(0.260941\pi\) | |||||||
\(284\) | −20849.5 | + | 2829.69i | −0.258499 | + | 0.0350835i | ||||
\(285\) | 85366.8 | − | 88181.5i | 1.05099 | − | 1.08564i | ||||
\(286\) | 5941.97 | + | 5190.00i | 0.0726438 | + | 0.0634505i | ||||
\(287\) | 69084.1i | 0.838715i | ||||||||
\(288\) | 8930.19 | + | 82461.9i | 0.107665 | + | 0.994187i | ||||
\(289\) | 78760.1 | 0.942997 | ||||||||
\(290\) | 40318.7 | − | 46160.4i | 0.479414 | − | 0.548876i | ||||
\(291\) | 14584.5 | − | 58188.8i | 0.172229 | − | 0.687153i | ||||
\(292\) | −20379.0 | − | 150155.i | −0.239011 | − | 1.76106i | ||||
\(293\) | 48046.7 | + | 83219.2i | 0.559665 | + | 0.969368i | 0.997524 | + | 0.0703243i | \(0.0224034\pi\) |
−0.437859 | + | 0.899043i | \(0.644263\pi\) | |||||||
\(294\) | 14715.4 | − | 1234.04i | 0.170246 | − | 0.0142770i | ||||
\(295\) | −82837.5 | − | 47826.3i | −0.951882 | − | 0.549569i | ||||
\(296\) | 74905.5 | + | 49403.4i | 0.854929 | + | 0.563862i | ||||
\(297\) | −47042.5 | + | 15092.4i | −0.533307 | + | 0.171098i | ||||
\(298\) | −12255.9 | − | 2412.40i | −0.138010 | − | 0.0271654i | ||||
\(299\) | −9765.10 | − | 5637.88i | −0.109228 | − | 0.0630628i | ||||
\(300\) | 25421.9 | + | 2825.40i | 0.282465 | + | 0.0313934i | ||||
\(301\) | 41757.3 | + | 72325.7i | 0.460892 | + | 0.798288i | ||||
\(302\) | −34670.1 | + | 11846.2i | −0.380138 | + | 0.129887i | ||||
\(303\) | 20318.8 | − | 81067.1i | 0.221316 | − | 0.882997i | ||||
\(304\) | 43991.9 | + | 159083.i | 0.476020 | + | 1.72138i | ||||
\(305\) | 55594.6 | 0.597631 | ||||||||
\(306\) | 21041.3 | − | 128813.i | 0.224714 | − | 1.37568i | ||||
\(307\) | 140641.i | 1.49223i | 0.665817 | + | 0.746115i | \(0.268083\pi\) | ||||
−0.665817 | + | 0.746115i | \(0.731917\pi\) | |||||||
\(308\) | −38264.9 | + | 29605.4i | −0.403366 | + | 0.312082i | ||||
\(309\) | 70783.4 | − | 73117.2i | 0.741334 | − | 0.765778i | ||||
\(310\) | −100849. | + | 34458.6i | −1.04942 | + | 0.358570i | ||||
\(311\) | −141564. | + | 81731.8i | −1.46363 | + | 0.845027i | −0.999177 | − | 0.0405712i | \(-0.987082\pi\) |
−0.464453 | + | 0.885598i | \(0.653749\pi\) | |||||||
\(312\) | 3634.80 | + | 16365.0i | 0.0373398 | + | 0.168115i | ||||
\(313\) | 25645.1 | − | 44418.7i | 0.261768 | − | 0.453395i | −0.704944 | − | 0.709263i | \(-0.749028\pi\) |
0.966712 | + | 0.255868i | \(0.0823611\pi\) | |||||||
\(314\) | −82825.4 | − | 16303.0i | −0.840049 | − | 0.165352i | ||||
\(315\) | 40347.9 | + | 64926.7i | 0.406630 | + | 0.654338i | ||||
\(316\) | 26494.8 | − | 64694.1i | 0.265330 | − | 0.647874i | ||||
\(317\) | 14025.0 | − | 24292.0i | 0.139568 | − | 0.241738i | −0.787765 | − | 0.615975i | \(-0.788762\pi\) |
0.927333 | + | 0.374237i | \(0.122095\pi\) | |||||||
\(318\) | −13899.2 | + | 29528.7i | −0.137447 | + | 0.292005i | ||||
\(319\) | −42516.5 | + | 24546.9i | −0.417808 | + | 0.241221i | ||||
\(320\) | 51912.4 | − | 69359.7i | 0.506957 | − | 0.677340i | ||||
\(321\) | 15466.4 | + | 54190.5i | 0.150100 | + | 0.525912i | ||||
\(322\) | 45487.6 | − | 52078.2i | 0.438714 | − | 0.502278i | ||||
\(323\) | − | 259728.i | − | 2.48951i | ||||||
\(324\) | −99519.6 | − | 33403.8i | −0.948022 | − | 0.318204i | ||||
\(325\) | 5169.63 | 0.0489433 | ||||||||
\(326\) | 128853. | + | 112546.i | 1.21244 | + | 1.05900i | ||||
\(327\) | −29882.4 | + | 8528.68i | −0.279460 | + | 0.0797602i | ||||
\(328\) | −5888.19 | + | 98918.1i | −0.0547311 | + | 0.919450i | ||||
\(329\) | −93011.4 | − | 161101.i | −0.859299 | − | 1.48835i | ||||
\(330\) | 46689.2 | + | 21976.6i | 0.428735 | + | 0.201805i | ||||
\(331\) | 97678.0 | + | 56394.4i | 0.891540 | + | 0.514731i | 0.874446 | − | 0.485123i | \(-0.161225\pi\) |
0.0170938 | + | 0.999854i | \(0.494559\pi\) | |||||||
\(332\) | 4620.72 | − | 11282.7i | 0.0419212 | − | 0.102362i | ||||
\(333\) | −96457.0 | + | 59941.9i | −0.869852 | + | 0.540558i | ||||
\(334\) | 8535.06 | − | 43361.2i | 0.0765092 | − | 0.388695i | ||||
\(335\) | −1241.92 | − | 717.024i | −0.0110664 | − | 0.00638917i | ||||
\(336\) | −102771. | + | 2488.50i | −0.910314 | + | 0.0220424i | ||||
\(337\) | 10409.8 | + | 18030.3i | 0.0916606 | + | 0.158761i | 0.908210 | − | 0.418515i | \(-0.137449\pi\) |
−0.816549 | + | 0.577276i | \(0.804116\pi\) | |||||||
\(338\) | −35843.1 | − | 104901.i | −0.313742 | − | 0.918222i | ||||
\(339\) | −16457.5 | − | 15932.2i | −0.143207 | − | 0.138636i | ||||
\(340\) | −107825. | + | 83423.4i | −0.932739 | + | 0.721656i | ||||
\(341\) | 85367.4 | 0.734147 | ||||||||
\(342\) | −206164. | − | 33676.3i | −1.76263 | − | 0.287920i | ||||
\(343\) | 125431.i | 1.06615i | ||||||||
\(344\) | 53625.7 | + | 107119.i | 0.453165 | + | 0.905208i | ||||
\(345\) | −71539.2 | − | 17930.7i | −0.601043 | − | 0.150646i | ||||
\(346\) | −28369.8 | − | 83029.5i | −0.236976 | − | 0.693554i | ||||
\(347\) | 139615. | − | 80606.6i | 1.15950 | − | 0.669440i | 0.208318 | − | 0.978061i | \(-0.433201\pi\) |
0.951185 | + | 0.308621i | \(0.0998676\pi\) | |||||||
\(348\) | −103678. | − | 11522.9i | −0.856108 | − | 0.0951485i | ||||
\(349\) | 110742. | − | 191811.i | 0.909205 | − | 1.57479i | 0.0940341 | − | 0.995569i | \(-0.470024\pi\) |
0.815171 | − | 0.579220i | \(-0.196643\pi\) | |||||||
\(350\) | −6122.59 | + | 31105.0i | −0.0499803 | + | 0.253919i | ||||
\(351\) | −20736.5 | − | 4488.12i | −0.168314 | − | 0.0364292i | ||||
\(352\) | −57312.9 | + | 39129.0i | −0.462559 | + | 0.315801i | ||||
\(353\) | −109395. | + | 189477.i | −0.877904 | + | 1.52057i | −0.0242676 | + | 0.999705i | \(0.507725\pi\) |
−0.853637 | + | 0.520869i | \(0.825608\pi\) | |||||||
\(354\) | 13605.1 | + | 162234.i | 0.108566 | + | 1.29460i | ||||
\(355\) | −24088.2 | + | 13907.3i | −0.191138 | + | 0.110354i | ||||
\(356\) | −17393.8 | − | 128159.i | −0.137244 | − | 1.01123i | ||||
\(357\) | 156914. | + | 39329.1i | 1.23119 | + | 0.308587i | ||||
\(358\) | −34582.4 | − | 30206.0i | −0.269830 | − | 0.235682i | ||||
\(359\) | − | 924.606i | − | 0.00717411i | −0.999994 | − | 0.00358705i | \(-0.998858\pi\) | ||
0.999994 | − | 0.00358705i | \(-0.00114180\pi\) | |||||||
\(360\) | 52238.3 | + | 96404.3i | 0.403073 | + | 0.743860i | ||||
\(361\) | −285370. | −2.18975 | ||||||||
\(362\) | 119654. | − | 136991.i | 0.913084 | − | 1.04538i | ||||
\(363\) | 64975.2 | + | 62901.3i | 0.493100 | + | 0.477360i | ||||
\(364\) | −20588.3 | + | 2794.24i | −0.155388 | + | 0.0210893i | ||||
\(365\) | −100158. | − | 173479.i | −0.751799 | − | 1.30215i | ||||
\(366\) | −53994.5 | − | 77706.3i | −0.403076 | − | 0.580088i | ||||
\(367\) | −35332.0 | − | 20398.9i | −0.262323 | − | 0.151452i | 0.363071 | − | 0.931762i | \(-0.381728\pi\) |
−0.625394 | + | 0.780309i | \(0.715062\pi\) | |||||||
\(368\) | 69570.1 | − | 70691.2i | 0.513721 | − | 0.521999i | ||||
\(369\) | −110589. | − | 59152.3i | −0.812192 | − | 0.434429i | ||||
\(370\) | 116386. | + | 22908.9i | 0.850150 | + | 0.167340i | ||||
\(371\) | −35030.3 | − | 20224.8i | −0.254505 | − | 0.146939i | ||||
\(372\) | 146110. | + | 107493.i | 1.05583 | + | 0.776775i | ||||
\(373\) | 117265. | + | 203109.i | 0.842851 | + | 1.45986i | 0.887474 | + | 0.460858i | \(0.152458\pi\) |
−0.0446228 | + | 0.999004i | \(0.514209\pi\) | |||||||
\(374\) | 103336. | − | 35308.4i | 0.738771 | − | 0.252426i | ||||
\(375\) | 146922. | − | 41932.7i | 1.04478 | − | 0.298188i | ||||
\(376\) | −119447. | − | 238599.i | −0.844892 | − | 1.68769i | ||||
\(377\) | −21083.4 | −0.148340 | ||||||||
\(378\) | 51563.5 | − | 119453.i | 0.360876 | − | 0.836017i | ||||
\(379\) | 185553.i | 1.29178i | 0.763428 | + | 0.645892i | \(0.223515\pi\) | ||||
−0.763428 | + | 0.645892i | \(0.776485\pi\) | |||||||
\(380\) | 133518. | + | 172572.i | 0.924639 | + | 1.19509i | ||||
\(381\) | −1309.27 | − | 4587.36i | −0.00901944 | − | 0.0316019i | ||||
\(382\) | 265114. | − | 90585.2i | 1.81679 | − | 0.620770i | ||||
\(383\) | −52190.3 | + | 30132.1i | −0.355789 | + | 0.205415i | −0.667232 | − | 0.744850i | \(-0.732521\pi\) |
0.311443 | + | 0.950265i | \(0.399188\pi\) | |||||||
\(384\) | −147364. | − | 5196.21i | −0.999379 | − | 0.0352390i | ||||
\(385\) | −31978.3 | + | 55388.1i | −0.215742 | + | 0.373675i | ||||
\(386\) | 136787. | + | 26924.6i | 0.918056 | + | 0.180707i | ||||
\(387\) | −151532. | + | 4916.56i | −1.01177 | + | 0.0328276i | ||||
\(388\) | 98691.0 | + | 40417.8i | 0.655562 | + | 0.268479i | ||||
\(389\) | 6004.66 | − | 10400.4i | 0.0396816 | − | 0.0687306i | −0.845502 | − | 0.533971i | \(-0.820699\pi\) |
0.885184 | + | 0.465241i | \(0.154032\pi\) | |||||||
\(390\) | 12645.5 | + | 18198.8i | 0.0831392 | + | 0.119650i | ||||
\(391\) | −135164. | + | 78037.0i | −0.884113 | + | 0.510443i | ||||
\(392\) | −1559.94 | + | 26206.1i | −0.0101516 | + | 0.170542i | ||||
\(393\) | 5798.56 | − | 5989.75i | 0.0375435 | − | 0.0387814i | ||||
\(394\) | −81198.7 | + | 92963.4i | −0.523066 | + | 0.598852i | ||||
\(395\) | − | 92416.5i | − | 0.592318i | ||||||
\(396\) | −14628.1 | − | 86603.0i | −0.0932818 | − | 0.552259i | ||||
\(397\) | 32276.3 | 0.204787 | 0.102394 | − | 0.994744i | \(-0.467350\pi\) | ||||
0.102394 | + | 0.994744i | \(0.467350\pi\) | |||||||
\(398\) | −103220. | − | 90157.2i | −0.651624 | − | 0.569160i | ||||
\(399\) | 62945.5 | − | 251138.i | 0.395384 | − | 1.57749i | ||||
\(400\) | −11417.8 | + | 44015.9i | −0.0713611 | + | 0.275099i | ||||
\(401\) | 93863.1 | + | 162576.i | 0.583722 | + | 1.01104i | 0.995033 | + | 0.0995418i | \(0.0317377\pi\) |
−0.411311 | + | 0.911495i | \(0.634929\pi\) | |||||||
\(402\) | 203.971 | + | 2432.26i | 0.00126217 | + | 0.0150507i | ||||
\(403\) | 31749.4 | + | 18330.5i | 0.195490 | + | 0.112866i | ||||
\(404\) | 137494. | + | 56309.0i | 0.842402 | + | 0.344997i | ||||
\(405\) | −138481. | + | 8995.70i | −0.844268 | + | 0.0548435i | ||||
\(406\) | 24969.8 | − | 126856.i | 0.151483 | − | 0.769588i | ||||
\(407\) | −82286.0 | − | 47507.9i | −0.496749 | − | 0.286798i | ||||
\(408\) | 221325. | + | 69687.4i | 1.32957 | + | 0.418633i | ||||
\(409\) | 67272.0 | + | 116518.i | 0.402149 | + | 0.696543i | 0.993985 | − | 0.109515i | \(-0.0349299\pi\) |
−0.591836 | + | 0.806059i | \(0.701597\pi\) | |||||||
\(410\) | 42355.1 | + | 123960.i | 0.251964 | + | 0.737417i | ||||
\(411\) | 3650.23 | − | 14563.6i | 0.0216091 | − | 0.0862152i | ||||
\(412\) | 110709. | + | 143091.i | 0.652210 | + | 0.842980i | ||||
\(413\) | −201779. | −1.18298 | ||||||||
\(414\) | 44417.9 | + | 117407.i | 0.259154 | + | 0.685005i | ||||
\(415\) | − | 16117.5i | − | 0.0935841i | ||||||
\(416\) | −29717.5 | + | 2246.15i | −0.171722 | + | 0.0129793i | ||||
\(417\) | −5188.25 | + | 5359.32i | −0.0298366 | + | 0.0308204i | ||||
\(418\) | −56510.5 | − | 165388.i | −0.323427 | − | 0.946568i | ||||
\(419\) | −73320.7 | + | 42331.7i | −0.417637 | + | 0.241123i | −0.694066 | − | 0.719912i | \(-0.744182\pi\) |
0.276429 | + | 0.961034i | \(0.410849\pi\) | |||||||
\(420\) | −124476. | + | 54532.8i | −0.705647 | + | 0.309143i | ||||
\(421\) | 57849.8 | − | 100199.i | 0.326391 | − | 0.565325i | −0.655402 | − | 0.755280i | \(-0.727501\pi\) |
0.981793 | + | 0.189955i | \(0.0608341\pi\) | |||||||
\(422\) | 13371.2 | − | 67930.7i | 0.0750837 | − | 0.381453i | ||||
\(423\) | 337527. | − | 10951.3i | 1.88637 | − | 0.0612047i | ||||
\(424\) | −48434.4 | − | 31944.6i | −0.269415 | − | 0.177691i | ||||
\(425\) | 35777.9 | − | 61969.1i | 0.198078 | − | 0.343081i | ||||
\(426\) | 42833.6 | + | 20161.7i | 0.236029 | + | 0.111099i | ||||
\(427\) | 101565. | − | 58638.4i | 0.557041 | − | 0.321608i | ||||
\(428\) | −99275.5 | + | 13473.7i | −0.541944 | + | 0.0735527i | ||||
\(429\) | −4871.80 | − | 17069.6i | −0.0264713 | − | 0.0927489i | ||||
\(430\) | 119269. | + | 104175.i | 0.645045 | + | 0.563413i | ||||
\(431\) | 294896.i | 1.58750i | 0.608241 | + | 0.793752i | \(0.291875\pi\) | ||||
−0.608241 | + | 0.793752i | \(0.708125\pi\) | |||||||
\(432\) | 84012.4 | − | 166645.i | 0.450169 | − | 0.892943i | ||||
\(433\) | −151284. | −0.806895 | −0.403447 | − | 0.915003i | \(-0.632188\pi\) | ||||
−0.403447 | + | 0.915003i | \(0.632188\pi\) | |||||||
\(434\) | −147894. | + | 169322.i | −0.785185 | + | 0.898949i | ||||
\(435\) | −132606. | + | 37846.8i | −0.700784 | + | 0.200010i | ||||
\(436\) | −7429.82 | − | 54743.7i | −0.0390846 | − | 0.287979i | ||||
\(437\) | 124897. | + | 216328.i | 0.654017 | + | 1.13279i | ||||
\(438\) | −145202. | + | 308481.i | −0.756874 | + | 1.60798i | ||||
\(439\) | 17332.7 | + | 10007.1i | 0.0899369 | + | 0.0519251i | 0.544294 | − | 0.838895i | \(-0.316798\pi\) |
−0.454357 | + | 0.890820i | \(0.650131\pi\) | |||||||
\(440\) | −50509.0 | + | 76581.8i | −0.260893 | + | 0.395567i | ||||
\(441\) | −29298.0 | − | 15671.0i | −0.150647 | − | 0.0805788i | ||||
\(442\) | 46013.9 | + | 9057.19i | 0.235529 | + | 0.0463606i | ||||
\(443\) | −33466.7 | − | 19322.0i | −0.170532 | − | 0.0984567i | 0.412305 | − | 0.911046i | \(-0.364724\pi\) |
−0.582837 | + | 0.812589i | \(0.698057\pi\) | |||||||
\(444\) | −81015.4 | − | 184925.i | −0.410962 | − | 0.938059i | ||||
\(445\) | −85486.7 | − | 148067.i | −0.431696 | − | 0.747720i | ||||
\(446\) | −242508. | + | 82861.0i | −1.21915 | + | 0.416563i | ||||
\(447\) | 20192.8 | + | 19548.2i | 0.101060 | + | 0.0978345i | ||||
\(448\) | 21680.7 | − | 181467.i | 0.108023 | − | 0.904150i | ||||
\(449\) | 79457.9 | 0.394135 | 0.197067 | − | 0.980390i | \(-0.436858\pi\) | ||||
0.197067 | + | 0.980390i | \(0.436858\pi\) | |||||||
\(450\) | −44550.1 | − | 36434.2i | −0.220000 | − | 0.179922i | ||||
\(451\) | − | 104930.i | − | 0.515878i | ||||||
\(452\) | 32207.4 | − | 24918.7i | 0.157645 | − | 0.121969i | ||||
\(453\) | 79962.2 | + | 20041.8i | 0.389662 | + | 0.0976655i | ||||
\(454\) | −51827.0 | + | 17708.5i | −0.251446 | + | 0.0859151i | ||||
\(455\) | −23786.4 | + | 13733.1i | −0.114896 | + | 0.0663354i | ||||
\(456\) | 111534. | − | 354227.i | 0.536384 | − | 1.70354i | ||||
\(457\) | 131776. | − | 228243.i | 0.630963 | − | 1.09286i | −0.356392 | − | 0.934337i | \(-0.615993\pi\) |
0.987355 | − | 0.158524i | \(-0.0506735\pi\) | |||||||
\(458\) | −259000. | − | 50980.5i | −1.23472 | − | 0.243037i | ||||
\(459\) | −197312. | + | 217510.i | −0.936546 | + | 1.03241i | ||||
\(460\) | 49691.0 | − | 121334.i | 0.234834 | − | 0.573411i | ||||
\(461\) | 100305. | − | 173733.i | 0.471976 | − | 0.817487i | −0.527510 | − | 0.849549i | \(-0.676874\pi\) |
0.999486 | + | 0.0320624i | \(0.0102075\pi\) | |||||||
\(462\) | 108475. | − | 9096.84i | 0.508215 | − | 0.0426193i | ||||
\(463\) | 205297. | − | 118528.i | 0.957679 | − | 0.552916i | 0.0622210 | − | 0.998062i | \(-0.480182\pi\) |
0.895458 | + | 0.445146i | \(0.146848\pi\) | |||||||
\(464\) | 46565.2 | − | 179510.i | 0.216285 | − | 0.833784i | ||||
\(465\) | 232596. | + | 58298.2i | 1.07571 | + | 0.269618i | ||||
\(466\) | −166677. | + | 190827.i | −0.767546 | + | 0.878754i | ||||
\(467\) | − | 230464.i | − | 1.05674i | −0.849014 | − | 0.528371i | \(-0.822803\pi\) | ||
0.849014 | − | 0.528371i | \(-0.177197\pi\) | |||||||
\(468\) | 13155.4 | − | 35349.9i | 0.0600639 | − | 0.161398i | ||||
\(469\) | −3025.13 | −0.0137530 | ||||||||
\(470\) | −265663. | − | 232043.i | −1.20264 | − | 1.05044i | ||||
\(471\) | 136463. | + | 132107.i | 0.615140 | + | 0.595505i | ||||
\(472\) | −288918. | − | 17198.1i | −1.29685 | − | 0.0771961i | ||||
\(473\) | −63424.1 | − | 109854.i | −0.283486 | − | 0.491013i | ||||
\(474\) | −129173. | + | 89756.6i | −0.574932 | + | 0.399493i | ||||
\(475\) | −99180.5 | − | 57261.9i | −0.439581 | − | 0.253792i | ||||
\(476\) | −108992. | + | 266133.i | −0.481039 | + | 1.17459i | ||||
\(477\) | 62369.7 | − | 38758.9i | 0.274118 | − | 0.170347i | ||||
\(478\) | −245.315 | + | 1246.29i | −0.00107366 | + | 0.00545461i | ||||
\(479\) | −2079.74 | − | 1200.74i | −0.00906438 | − | 0.00523332i | 0.495461 | − | 0.868630i | \(-0.334999\pi\) |
−0.504525 | + | 0.863397i | \(0.668332\pi\) | |||||||
\(480\) | −182879. | + | 67473.4i | −0.793746 | + | 0.292853i | ||||
\(481\) | −20402.3 | − | 35337.7i | −0.0881836 | − | 0.152739i | ||||
\(482\) | 32986.6 | + | 96541.1i | 0.141985 | + | 0.415545i | ||||
\(483\) | −149606. | + | 42698.8i | −0.641290 | + | 0.183029i | ||||
\(484\) | −127157. | + | 98380.7i | −0.542812 | + | 0.419971i | ||||
\(485\) | 140981. | 0.599347 | ||||||||
\(486\) | 147069. | + | 184822.i | 0.622656 | + | 0.782496i | ||||
\(487\) | − | 405227.i | − | 1.70860i | −0.519781 | − | 0.854300i | \(-0.673986\pi\) | ||
0.519781 | − | 0.854300i | \(-0.326014\pi\) | |||||||
\(488\) | 150423. | − | 75304.9i | 0.631649 | − | 0.316216i | ||||
\(489\) | −105646. | − | 370158.i | −0.441810 | − | 1.54799i | ||||
\(490\) | 11221.0 | + | 32840.3i | 0.0467347 | + | 0.136778i | ||||
\(491\) | −111325. | + | 64273.4i | −0.461773 | + | 0.266605i | −0.712790 | − | 0.701378i | \(-0.752569\pi\) |
0.251016 | + | 0.967983i | \(0.419235\pi\) | |||||||
\(492\) | 132126. | − | 179593.i | 0.545832 | − | 0.741924i | ||||
\(493\) | −145913. | + | 252729.i | −0.600345 | + | 1.03983i | ||||
\(494\) | 14495.9 | − | 73644.5i | 0.0594006 | − | 0.301777i | ||||
\(495\) | −61283.4 | − | 98615.6i | −0.250111 | − | 0.402472i | ||||
\(496\) | −226194. | + | 229839.i | −0.919429 | + | 0.934244i | ||||
\(497\) | −29337.5 | + | 50814.1i | −0.118771 | + | 0.205717i | ||||
\(498\) | −22528.0 | + | 15653.6i | −0.0908371 | + | 0.0631185i | ||||
\(499\) | 111377. | − | 64303.6i | 0.447296 | − | 0.258246i | −0.259392 | − | 0.965772i | \(-0.583522\pi\) |
0.706687 | + | 0.707526i | \(0.250189\pi\) | |||||||
\(500\) | 36530.0 | + | 269157.i | 0.146120 | + | 1.07663i | ||||
\(501\) | −69161.6 | + | 71442.0i | −0.275543 | + | 0.284628i | ||||
\(502\) | 123480. | + | 107854.i | 0.489994 | + | 0.427984i | ||||
\(503\) | 368128.i | 1.45500i | 0.686109 | + | 0.727499i | \(0.259317\pi\) | ||||
−0.686109 | + | 0.727499i | \(0.740683\pi\) | |||||||
\(504\) | 197116. | + | 121021.i | 0.775997 | + | 0.476430i | ||||
\(505\) | 196411. | 0.770165 | ||||||||
\(506\) | −69090.0 | + | 79100.3i | −0.269845 | + | 0.308942i | ||||
\(507\) | −60640.7 | + | 241942.i | −0.235911 | + | 0.941229i | ||||
\(508\) | 8403.92 | − | 1140.58i | 0.0325653 | − | 0.00441976i | ||||
\(509\) | 40698.4 | + | 70491.6i | 0.157087 | + | 0.272083i | 0.933817 | − | 0.357751i | \(-0.116456\pi\) |
−0.776730 | + | 0.629834i | \(0.783123\pi\) | |||||||
\(510\) | 305667. | − | 25633.5i | 1.17519 | − | 0.0985526i | ||||
\(511\) | −365955. | − | 211284.i | −1.40148 | − | 0.809143i | ||||
\(512\) | 46510.3 | − | 257985.i | 0.177423 | − | 0.984135i | ||||
\(513\) | 348121. | + | 315795.i | 1.32281 | + | 1.19997i | ||||
\(514\) | −121501. | − | 23915.8i | −0.459890 | − | 0.0905230i | ||||
\(515\) | 207123. | + | 119582.i | 0.780931 | + | 0.450871i | ||||
\(516\) | 29772.7 | − | 267883.i | 0.111820 | − | 1.00611i | ||||
\(517\) | 141273. | + | 244692.i | 0.528539 | + | 0.915457i | ||||
\(518\) | 236786. | − | 80906.0i | 0.882463 | − | 0.301523i | ||||
\(519\) | −47997.1 | + | 191497.i | −0.178189 | + | 0.710931i | ||||
\(520\) | −35229.1 | + | 17636.4i | −0.130285 | + | 0.0652232i | ||||
\(521\) | −17832.5 | −0.0656956 | −0.0328478 | − | 0.999460i | \(-0.510458\pi\) | ||||
−0.0328478 | + | 0.999460i | \(0.510458\pi\) | |||||||
\(522\) | 181689. | + | 148590.i | 0.666787 | + | 0.545316i | ||||
\(523\) | − | 51996.2i | − | 0.190094i | −0.995473 | − | 0.0950470i | \(-0.969700\pi\) | ||
0.995473 | − | 0.0950470i | \(-0.0303001\pi\) | |||||||
\(524\) | 9069.23 | + | 11722.0i | 0.0330299 | + | 0.0426911i | ||||
\(525\) | 49612.8 | − | 51248.6i | 0.180001 | − | 0.185936i | ||||
\(526\) | 58181.8 | − | 19879.8i | 0.210289 | − | 0.0718522i | ||||
\(527\) | 439461. | − | 253723.i | 1.58234 | − | 0.913562i | ||||
\(528\) | 156096. | − | 3779.72i | 0.559917 | − | 0.0135579i | ||||
\(529\) | −64868.3 | + | 112355.i | −0.231804 | + | 0.401496i | ||||
\(530\) | −75255.7 | − | 14813.0i | −0.267909 | − | 0.0527342i | ||||
\(531\) | 172770. | − | 323005.i | 0.612746 | − | 1.14557i | ||||
\(532\) | 425941. | + | 174440.i | 1.50497 | + | 0.616343i | ||||
\(533\) | 22531.1 | − | 39025.1i | 0.0793101 | − | 0.137369i | ||||
\(534\) | −123932. | + | 263293.i | −0.434611 | + | 0.923330i | ||||
\(535\) | −114697. | + | 66220.2i | −0.400722 | + | 0.231357i | ||||
\(536\) | −4331.53 | − | 257.838i | −0.0150769 | − | 0.000897465i | ||||
\(537\) | 28354.0 | + | 99345.6i | 0.0983255 | + | 0.344508i | ||||
\(538\) | 200262. | − | 229277.i | 0.691884 | − | 0.792129i | ||||
\(539\) | − | 27798.8i | − | 0.0956862i | ||||||
\(540\) | 19285.7 | − | 245952.i | 0.0661374 | − | 0.843458i | ||||
\(541\) | −329819. | −1.12689 | −0.563444 | − | 0.826154i | \(-0.690524\pi\) | ||||
−0.563444 | + | 0.826154i | \(0.690524\pi\) | |||||||
\(542\) | −235215. | − | 205448.i | −0.800693 | − | 0.699364i | ||||
\(543\) | −393535. | + | 112318.i | −1.33470 | + | 0.380934i | ||||
\(544\) | −178743. | + | 371773.i | −0.603993 | + | 1.25626i | ||||
\(545\) | −36515.9 | − | 63247.5i | −0.122939 | − | 0.212936i | ||||
\(546\) | 42296.9 | + | 19909.1i | 0.141881 | + | 0.0667832i | ||||
\(547\) | 306032. | + | 176688.i | 1.02280 | + | 0.590517i | 0.914915 | − | 0.403646i | \(-0.132257\pi\) |
0.107890 | + | 0.994163i | \(0.465591\pi\) | |||||||
\(548\) | 24700.5 | + | 10115.8i | 0.0822516 | + | 0.0336853i | ||||
\(549\) | 6904.18 | + | 212792.i | 0.0229069 | + | 0.706008i | ||||
\(550\) | 9299.45 | − | 47244.6i | 0.0307420 | − | 0.156181i | ||||
\(551\) | 404489. | + | 233532.i | 1.33230 | + | 0.769206i | ||||
\(552\) | −217853. | + | 48387.0i | −0.714965 | + | 0.158800i | ||||
\(553\) | −97476.3 | − | 168834.i | −0.318749 | − | 0.552090i | ||||
\(554\) | 6130.27 | + | 17941.3i | 0.0199738 | + | 0.0584568i | ||||
\(555\) | −191757. | − | 185636.i | −0.622537 | − | 0.602666i | ||||
\(556\) | −8114.69 | − | 10488.2i | −0.0262496 | − | 0.0339275i | ||||
\(557\) | −381405. | −1.22935 | −0.614676 | − | 0.788780i | \(-0.710713\pi\) | ||||
−0.614676 | + | 0.788780i | \(0.710713\pi\) | |||||||
\(558\) | −144416. | − | 381727.i | −0.463819 | − | 1.22598i | ||||
\(559\) | − | 54475.0i | − | 0.174330i | ||||||
\(560\) | −64392.6 | − | 232856.i | −0.205334 | − | 0.742526i | ||||
\(561\) | −238332. | − | 59735.9i | −0.757281 | − | 0.189806i | ||||
\(562\) | 55883.6 | + | 163553.i | 0.176934 | + | 0.517830i | ||||
\(563\) | 203807. | − | 117668.i | 0.642988 | − | 0.371229i | −0.142776 | − | 0.989755i | \(-0.545603\pi\) |
0.785765 | + | 0.618526i | \(0.212270\pi\) | |||||||
\(564\) | −66316.5 | + | 596690.i | −0.208480 | + | 1.87582i | ||||
\(565\) | 26916.0 | − | 46619.9i | 0.0843168 | − | 0.146041i | ||||
\(566\) | 27900.1 | − | 141743.i | 0.0870909 | − | 0.442454i | ||||
\(567\) | −243500. | + | 162497.i | −0.757414 | + | 0.505451i | ||||
\(568\) | −46337.9 | + | 70257.6i | −0.143628 | + | 0.217769i | ||||
\(569\) | 110971. | − | 192208.i | 0.342757 | − | 0.593673i | −0.642186 | − | 0.766549i | \(-0.721972\pi\) |
0.984944 | + | 0.172875i | \(0.0553058\pi\) | |||||||
\(570\) | −41026.1 | − | 489216.i | −0.126273 | − | 1.50574i | ||||
\(571\) | 34588.3 | − | 19969.5i | 0.106086 | − | 0.0612486i | −0.446018 | − | 0.895024i | \(-0.647158\pi\) |
0.552104 | + | 0.833775i | \(0.313825\pi\) | |||||||
\(572\) | 31271.0 | − | 4244.10i | 0.0955763 | − | 0.0129716i | ||||
\(573\) | −611452. | − | 153255.i | −1.86232 | − | 0.466773i | ||||
\(574\) | 208124. | + | 181786.i | 0.631683 | + | 0.551742i | ||||
\(575\) | 68818.8i | 0.208148i | ||||||||
\(576\) | 271925. | + | 190084.i | 0.819605 | + | 0.572930i | ||||
\(577\) | 511135. | 1.53527 | 0.767634 | − | 0.640889i | \(-0.221434\pi\) | ||||
0.767634 | + | 0.640889i | \(0.221434\pi\) | |||||||
\(578\) | 207247. | − | 237274.i | 0.620343 | − | 0.710224i | ||||
\(579\) | −225370. | − | 218176.i | −0.672262 | − | 0.650804i | ||||
\(580\) | −32970.5 | − | 242930.i | −0.0980098 | − | 0.722147i | ||||
\(581\) | −17000.0 | − | 29444.8i | −0.0503612 | − | 0.0872281i | ||||
\(582\) | −136924. | − | 197054.i | −0.404234 | − | 0.581754i | ||||
\(583\) | 53206.7 | + | 30718.9i | 0.156541 | + | 0.0903793i | ||||
\(584\) | −505985. | − | 333719.i | −1.48358 | − | 0.978486i | ||||
\(585\) | −1616.95 | − | 49835.7i | −0.00472483 | − | 0.145623i | ||||
\(586\) | 377137. | + | 74234.1i | 1.09826 | + | 0.216176i | ||||
\(587\) | −60509.5 | − | 34935.2i | −0.175609 | − | 0.101388i | 0.409619 | − | 0.912257i | \(-0.365662\pi\) |
−0.585228 | + | 0.810869i | \(0.698995\pi\) | |||||||
\(588\) | 35003.9 | − | 47579.1i | 0.101242 | − | 0.137614i | ||||
\(589\) | −406079. | − | 703350.i | −1.17052 | − | 2.02741i | ||||
\(590\) | −362059. | + | 123710.i | −1.04010 | + | 0.355385i | ||||
\(591\) | 267058. | − | 76220.4i | 0.764592 | − | 0.218221i | ||||
\(592\) | 345938. | − | 95663.4i | 0.987085 | − | 0.272962i | ||||
\(593\) | 206980. | 0.588599 | 0.294299 | − | 0.955713i | \(-0.404914\pi\) | ||||
0.294299 | + | 0.955713i | \(0.404914\pi\) | |||||||
\(594\) | −78318.5 | + | 181435.i | −0.221968 | + | 0.514219i | ||||
\(595\) | 380174.i | 1.07386i | ||||||||
\(596\) | −39517.3 | + | 30574.4i | −0.111249 | + | 0.0860726i | ||||
\(597\) | 84629.6 | + | 296522.i | 0.237451 | + | 0.831970i | ||||
\(598\) | −42680.4 | + | 14583.2i | −0.119351 | + | 0.0407803i | ||||
\(599\) | −241159. | + | 139233.i | −0.672123 | + | 0.388051i | −0.796881 | − | 0.604137i | \(-0.793518\pi\) |
0.124757 | + | 0.992187i | \(0.460185\pi\) | |||||||
\(600\) | 75406.1 | − | 69151.8i | 0.209462 | − | 0.192088i | ||||
\(601\) | −213736. | + | 370201.i | −0.591737 | + | 1.02492i | 0.402262 | + | 0.915525i | \(0.368224\pi\) |
−0.993999 | + | 0.109393i | \(0.965109\pi\) | |||||||
\(602\) | 327769. | + | 64516.8i | 0.904430 | + | 0.178024i | ||||
\(603\) | 2590.22 | − | 4842.58i | 0.00712365 | − | 0.0133181i | ||||
\(604\) | −55541.6 | + | 135620.i | −0.152246 | + | 0.371748i | ||||
\(605\) | −106266. | + | 184058.i | −0.290325 | + | 0.502857i | ||||
\(606\) | −190758. | − | 274530.i | −0.519443 | − | 0.747558i | ||||
\(607\) | −361479. | + | 208700.i | −0.981082 | + | 0.566428i | −0.902597 | − | 0.430487i | \(-0.858342\pi\) |
−0.0784853 | + | 0.996915i | \(0.525008\pi\) | |||||||
\(608\) | 595016. | + | 286076.i | 1.60961 | + | 0.773880i | ||||
\(609\) | −202336. | + | 209008.i | −0.545556 | + | 0.563544i | ||||
\(610\) | 146290. | − | 167486.i | 0.393147 | − | 0.450109i | ||||
\(611\) | 121339.i | 0.325026i | ||||||||
\(612\) | −332699. | − | 402345.i | −0.888277 | − | 1.07423i | ||||
\(613\) | −23327.6 | −0.0620796 | −0.0310398 | − | 0.999518i | \(-0.509882\pi\) | ||||
−0.0310398 | + | 0.999518i | \(0.509882\pi\) | |||||||
\(614\) | 423699. | + | 370079.i | 1.12388 | + | 0.981652i | ||||
\(615\) | 71657.8 | − | 285898.i | 0.189458 | − | 0.755894i | ||||
\(616\) | −11499.2 | + | 193180.i | −0.0303045 | + | 0.509098i | ||||
\(617\) | −39385.7 | − | 68218.0i | −0.103459 | − | 0.179196i | 0.809649 | − | 0.586915i | \(-0.199658\pi\) |
−0.913108 | + | 0.407719i | \(0.866324\pi\) | |||||||
\(618\) | −34017.5 | − | 405642.i | −0.0890687 | − | 1.06210i | ||||
\(619\) | 382655. | + | 220926.i | 0.998679 | + | 0.576587i | 0.907857 | − | 0.419280i | \(-0.137717\pi\) |
0.0908215 | + | 0.995867i | \(0.471051\pi\) | |||||||
\(620\) | −161561. | + | 394494.i | −0.420293 | + | 1.02626i | ||||
\(621\) | 59746.4 | − | 276047.i | 0.154928 | − | 0.715814i | ||||
\(622\) | −126279. | + | 641545.i | −0.326401 | + | 1.65824i | ||||
\(623\) | −312348. | − | 180334.i | −0.804753 | − | 0.464625i | ||||
\(624\) | 58866.0 | + | 32112.0i | 0.151180 | + | 0.0824703i | ||||
\(625\) | 124028. | + | 214823.i | 0.317512 | + | 0.549947i | ||||
\(626\) | −66334.9 | − | 194141.i | −0.169275 | − | 0.495415i | ||||
\(627\) | −95606.4 | + | 381447.i | −0.243193 | + | 0.970285i | ||||
\(628\) | −267059. | + | 206623.i | −0.677155 | + | 0.523912i | ||||
\(629\) | −564798. | −1.42755 | ||||||||
\(630\) | 301770. | + | 49293.3i | 0.760317 | + | 0.124196i | ||||
\(631\) | − | 211599.i | − | 0.531440i | −0.964050 | − | 0.265720i | \(-0.914390\pi\) | ||
0.964050 | − | 0.265720i | \(-0.0856097\pi\) | |||||||
\(632\) | −125181. | − | 250053.i | −0.313405 | − | 0.626034i | ||||
\(633\) | −108350. | + | 111923.i | −0.270410 | + | 0.279325i | ||||
\(634\) | −36277.7 | − | 106173.i | −0.0902530 | − | 0.264142i | ||||
\(635\) | 9709.36 | − | 5605.70i | 0.0240793 | − | 0.0139022i | ||||
\(636\) | 52385.1 | + | 119574.i | 0.129507 | + | 0.295612i | ||||
\(637\) | 5969.11 | − | 10338.8i | 0.0147106 | − | 0.0254795i | ||||
\(638\) | −37926.0 | + | 192678.i | −0.0931743 | + | 0.473360i | ||||
\(639\) | −56222.6 | − | 90471.9i | −0.137692 | − | 0.221570i | ||||
\(640\) | −72353.7 | − | 338903.i | −0.176645 | − | 0.827401i | ||||
\(641\) | 2552.74 | − | 4421.47i | 0.00621284 | − | 0.0107610i | −0.862902 | − | 0.505371i | \(-0.831356\pi\) |
0.869115 | + | 0.494610i | \(0.164689\pi\) | |||||||
\(642\) | 203953. | + | 96000.8i | 0.494836 | + | 0.232919i | ||||
\(643\) | −69127.8 | + | 39911.0i | −0.167198 | + | 0.0965318i | −0.581264 | − | 0.813715i | \(-0.697442\pi\) |
0.414066 | + | 0.910247i | \(0.364108\pi\) | |||||||
\(644\) | −37197.3 | − | 274074.i | −0.0896891 | − | 0.660839i | ||||
\(645\) | −97788.2 | − | 342626.i | −0.235054 | − | 0.823570i | ||||
\(646\) | −782463. | − | 683441.i | −1.87499 | − | 1.63771i | ||||
\(647\) | − | 531516.i | − | 1.26972i | −0.772628 | − | 0.634859i | \(-0.781058\pi\) | ||
0.772628 | − | 0.634859i | \(-0.218942\pi\) | |||||||
\(648\) | −362506. | + | 211917.i | −0.863306 | + | 0.504680i | ||||
\(649\) | 306477. | 0.727627 | ||||||||
\(650\) | 13603.2 | − | 15574.2i | 0.0321969 | − | 0.0368619i | ||||
\(651\) | 486416. | − | 138827.i | 1.14775 | − | 0.327576i | ||||
\(652\) | 678119. | − | 92034.3i | 1.59518 | − | 0.216498i | ||||
\(653\) | 235615. | + | 408097.i | 0.552556 | + | 0.957055i | 0.998089 | + | 0.0617897i | \(0.0196808\pi\) |
−0.445533 | + | 0.895265i | \(0.646986\pi\) | |||||||
\(654\) | −52937.9 | + | 112467.i | −0.123769 | + | 0.262947i | ||||
\(655\) | 16967.4 | + | 9796.15i | 0.0395488 | + | 0.0228335i | ||||
\(656\) | 282509. | + | 278029.i | 0.656485 | + | 0.646074i | ||||
\(657\) | 651564. | − | 404906.i | 1.50948 | − | 0.938045i | ||||
\(658\) | −730082. | − | 143707.i | −1.68624 | − | 0.331913i | ||||
\(659\) | −309469. | − | 178672.i | −0.712601 | − | 0.411420i | 0.0994224 | − | 0.995045i | \(-0.468300\pi\) |
−0.812023 | + | 0.583625i | \(0.801634\pi\) | |||||||
\(660\) | 189064. | − | 82828.5i | 0.434031 | − | 0.190148i | ||||
\(661\) | 282792. | + | 489809.i | 0.647237 | + | 1.12105i | 0.983780 | + | 0.179380i | \(0.0574090\pi\) |
−0.336543 | + | 0.941668i | \(0.609258\pi\) | |||||||
\(662\) | 426922. | − | 145872.i | 0.974165 | − | 0.332857i | ||||
\(663\) | −75812.5 | − | 73392.6i | −0.172470 | − | 0.166965i | ||||
\(664\) | −21831.8 | − | 43609.5i | −0.0495168 | − | 0.0989111i | ||||
\(665\) | 608463. | 1.37591 | ||||||||
\(666\) | −73231.4 | + | 448318.i | −0.165101 | + | 1.01074i | ||||
\(667\) | − | 280664.i | − | 0.630864i | ||||||
\(668\) | −108172. | − | 139812.i | −0.242417 | − | 0.313323i | ||||
\(669\) | 559314. | + | 140187.i | 1.24969 | + | 0.313225i | ||||
\(670\) | −5428.08 | + | 1854.69i | −0.0120920 | + | 0.00413163i | ||||
\(671\) | −154264. | + | 89064.5i | −0.342626 | + | 0.197815i | ||||
\(672\) | −262931. | + | 316158.i | −0.582241 | + | 0.700108i | ||||
\(673\) | 158119. | − | 273870.i | 0.349103 | − | 0.604663i | −0.636988 | − | 0.770874i | \(-0.719820\pi\) |
0.986090 | + | 0.166211i | \(0.0531532\pi\) | |||||||
\(674\) | 81710.5 | + | 16083.6i | 0.179870 | + | 0.0354049i | ||||
\(675\) | 39557.8 | + | 123300.i | 0.0868210 | + | 0.270618i | ||||
\(676\) | −410345. | − | 168052.i | −0.897957 | − | 0.367749i | ||||
\(677\) | 300914. | − | 521198.i | 0.656545 | − | 1.13717i | −0.324959 | − | 0.945728i | \(-0.605351\pi\) |
0.981504 | − | 0.191441i | \(-0.0613161\pi\) | |||||||
\(678\) | −91303.4 | + | 7656.78i | −0.198622 | + | 0.0166566i | ||||
\(679\) | 257556. | − | 148700.i | 0.558641 | − | 0.322531i | ||||
\(680\) | −32403.1 | + | 544353.i | −0.0700758 | + | 1.17723i | ||||
\(681\) | 119533. | + | 29959.8i | 0.257746 | + | 0.0646018i | ||||
\(682\) | 224633. | − | 257180.i | 0.482953 | − | 0.552927i | ||||
\(683\) | 385277.i | 0.825909i | 0.910752 | + | 0.412955i | \(0.135503\pi\) | ||||
−0.910752 | + | 0.412955i | \(0.864497\pi\) | |||||||
\(684\) | −643947. | + | 532479.i | −1.37638 | + | 1.13813i | ||||
\(685\) | 35285.0 | 0.0751984 | ||||||||
\(686\) | 377877. | + | 330056.i | 0.802975 | + | 0.701357i | ||||
\(687\) | 426728. | + | 413107.i | 0.904144 | + | 0.875284i | ||||
\(688\) | 463817. | + | 120315.i | 0.979873 | + | 0.254180i | ||||
\(689\) | 13192.2 | + | 22849.6i | 0.0277895 | + | 0.0481328i | ||||
\(690\) | −242264. | + | 168338.i | −0.508852 | + | 0.353578i | ||||
\(691\) | −397767. | − | 229651.i | −0.833053 | − | 0.480963i | 0.0218438 | − | 0.999761i | \(-0.493046\pi\) |
−0.854897 | + | 0.518798i | \(0.826380\pi\) | |||||||
\(692\) | −324788. | − | 133014.i | −0.678247 | − | 0.277769i | ||||
\(693\) | −215972. | − | 115520.i | −0.449709 | − | 0.240543i | ||||
\(694\) | 124541. | − | 632712.i | 0.258578 | − | 1.31367i | ||||
\(695\) | −15181.6 | − | 8765.10i | −0.0314303 | − | 0.0181463i | ||||
\(696\) | −307529. | + | 282022.i | −0.634846 | + | 0.582190i | ||||
\(697\) | −311866. | − | 540168.i | −0.641952 | − | 1.11189i | ||||
\(698\) | −286451. | − | 838349.i | −0.587948 | − | 1.72074i | ||||
\(699\) | 548191. | − | 156458.i | 1.12196 | − | 0.320217i | ||||
\(700\) | 77596.9 | + | 100294.i | 0.158361 | + | 0.204681i | ||||
\(701\) | −127011. | −0.258467 | −0.129234 | − | 0.991614i | \(-0.541252\pi\) | ||||
−0.129234 | + | 0.991614i | \(0.541252\pi\) | |||||||
\(702\) | −68086.4 | + | 50661.4i | −0.138161 | + | 0.102802i | ||||
\(703\) | 903950.i | 1.82908i | ||||||||
\(704\) | −32930.3 | + | 275625.i | −0.0664432 | + | 0.556126i | ||||
\(705\) | 217816. | + | 763175.i | 0.438240 | + | 1.53549i | ||||
\(706\) | 282966. | + | 828150.i | 0.567707 | + | 1.66150i | ||||
\(707\) | 358820. | − | 207165.i | 0.717857 | − | 0.414455i | ||||
\(708\) | 524551. | + | 385911.i | 1.04646 | + | 0.769876i | ||||
\(709\) | −247408. | + | 428523.i | −0.492177 | + | 0.852475i | −0.999959 | − | 0.00901014i | \(-0.997132\pi\) |
0.507783 | + | 0.861485i | \(0.330465\pi\) | |||||||
\(710\) | −21487.4 | + | 109164.i | −0.0426253 | + | 0.216552i | ||||
\(711\) | 353730. | − | 11477.0i | 0.699733 | − | 0.0227033i | ||||
\(712\) | −431865. | − | 284834.i | −0.851900 | − | 0.561864i | ||||
\(713\) | −244018. | + | 422652.i | −0.480002 | + | 0.831388i | ||||
\(714\) | 531381. | − | 369232.i | 1.04234 | − | 0.724275i | ||||
\(715\) | 36128.6 | − | 20858.8i | 0.0706706 | − | 0.0408017i | ||||
\(716\) | −181998. | + | 24700.8i | −0.355011 | + | 0.0481820i | ||||
\(717\) | 1987.85 | − | 2053.39i | 0.00386674 | − | 0.00399423i | ||||
\(718\) | −2785.49 | − | 2432.98i | −0.00540322 | − | 0.00471943i | ||||
\(719\) | − | 614613.i | − | 1.18890i | −0.804134 | − | 0.594448i | \(-0.797371\pi\) | ||
0.804134 | − | 0.594448i | \(-0.202629\pi\) | |||||||
\(720\) | 427888. | + | 96301.0i | 0.825401 | + | 0.185766i | ||||
\(721\) | 504518. | 0.970523 | ||||||||
\(722\) | −750914. | + | 859712.i | −1.44051 | + | 1.64922i | ||||
\(723\) | 55807.8 | − | 222660.i | 0.106762 | − | 0.425957i | ||||
\(724\) | −97846.7 | − | 720945.i | −0.186668 | − | 1.37539i | ||||
\(725\) | 64338.5 | + | 111438.i | 0.122404 | + | 0.212010i | ||||
\(726\) | 360472. | − | 30229.4i | 0.683908 | − | 0.0573531i | ||||
\(727\) | −286999. | − | 165699.i | −0.543014 | − | 0.313509i | 0.203286 | − | 0.979119i | \(-0.434838\pi\) |
−0.746299 | + | 0.665610i | \(0.768171\pi\) | |||||||
\(728\) | −45757.4 | + | 69377.4i | −0.0863373 | + | 0.130905i | ||||
\(729\) | −51629.3 | − | 528927.i | −0.0971495 | − | 0.995270i | ||||
\(730\) | −786182. | − | 154749.i | −1.47529 | − | 0.290390i | ||||
\(731\) | −652999. | − | 377009.i | −1.22202 | − | 0.705532i | ||||
\(732\) | −376179. | − | 41808.8i | −0.702057 | − | 0.0780271i | ||||
\(733\) | 25808.4 | + | 44701.5i | 0.0480345 | + | 0.0831982i | 0.889043 | − | 0.457824i | \(-0.151371\pi\) |
−0.841008 | + | 0.541022i | \(0.818038\pi\) | |||||||
\(734\) | −154426. | + | 52764.9i | −0.286634 | + | 0.0979383i | ||||
\(735\) | 18984.1 | − | 75742.1i | 0.0351411 | − | 0.140205i | ||||
\(736\) | −29901.1 | − | 395603.i | −0.0551990 | − | 0.730305i | ||||
\(737\) | 4594.79 | 0.00845923 | ||||||||
\(738\) | −469204. | + | 177511.i | −0.861487 | + | 0.325921i | ||||
\(739\) | 228968.i | 0.419263i | 0.977780 | + | 0.209631i | \(0.0672264\pi\) | ||||
−0.977780 | + | 0.209631i | \(0.932774\pi\) | |||||||
\(740\) | 375269. | − | 290344.i | 0.685298 | − | 0.530212i | ||||
\(741\) | −117464. | + | 121337.i | −0.213928 | + | 0.220981i | ||||
\(742\) | −153107. | + | 52314.4i | −0.278092 | + | 0.0950196i | ||||
\(743\) | −910009. | + | 525394.i | −1.64842 | + | 0.951716i | −0.670720 | + | 0.741711i | \(0.734015\pi\) |
−0.977700 | + | 0.210005i | \(0.932652\pi\) | |||||||
\(744\) | 708307. | − | 157321.i | 1.27960 | − | 0.284211i | ||||
\(745\) | −33025.0 | + | 57201.0i | −0.0595018 | + | 0.103060i | ||||
\(746\) | 920459. | + | 181179.i | 1.65397 | + | 0.325560i | ||||
\(747\) | 61690.8 | − | 2001.60i | 0.110555 | − | 0.00358704i | ||||
\(748\) | 165545. | − | 404223.i | 0.295878 | − | 0.722466i | ||||
\(749\) | −139692. | + | 241953.i | −0.249004 | + | 0.431288i | ||||
\(750\) | 260278. | − | 552961.i | 0.462717 | − | 0.983041i | ||||
\(751\) | −233295. | + | 134693.i | −0.413643 | + | 0.238817i | −0.692354 | − | 0.721558i | \(-0.743426\pi\) |
0.278711 | + | 0.960375i | \(0.410093\pi\) | |||||||
\(752\) | −1.03312e6 | − | 267993.i | −1.82690 | − | 0.473901i | ||||
\(753\) | −101241. | − | 354724.i | −0.178553 | − | 0.625606i | ||||
\(754\) | −55478.1 | + | 63516.2i | −0.0975840 | + | 0.111723i | ||||
\(755\) | 193735.i | 0.339870i | ||||||||
\(756\) | −224186. | − | 469667.i | −0.392251 | − | 0.821764i | ||||
\(757\) | −476176. | −0.830952 | −0.415476 | − | 0.909604i | \(-0.636385\pi\) | ||||
−0.415476 | + | 0.909604i | \(0.636385\pi\) | |||||||
\(758\) | 559002. | + | 488259.i | 0.972915 | + | 0.849791i | ||||
\(759\) | 227233. | − | 64854.1i | 0.394446 | − | 0.112578i | ||||
\(760\) | 871228. | + | 51860.6i | 1.50836 | + | 0.0897863i | ||||
\(761\) | −242197. | − | 419498.i | −0.418215 | − | 0.724370i | 0.577545 | − | 0.816359i | \(-0.304011\pi\) |
−0.995760 | + | 0.0919890i | \(0.970678\pi\) | |||||||
\(762\) | −17265.2 | − | 8126.71i | −0.0297345 | − | 0.0139960i | ||||
\(763\) | −133421. | − | 77030.4i | −0.229178 | − | 0.132316i | ||||
\(764\) | 424714. | − | 1.03705e6i | 0.727628 | − | 1.77670i | ||||
\(765\) | −608577. | − | 325519.i | −1.03990 | − | 0.556229i | ||||
\(766\) | −46555.3 | + | 236518.i | −0.0793436 | + | 0.403095i | ||||
\(767\) | 113983. | + | 65808.4i | 0.193754 | + | 0.111864i | ||||
\(768\) | −403424. | + | 430280.i | −0.683974 | + | 0.729506i | ||||
\(769\) | −251061. | − | 434851.i | −0.424549 | − | 0.735340i | 0.571830 | − | 0.820372i | \(-0.306234\pi\) |
−0.996378 | + | 0.0850327i | \(0.972901\pi\) | |||||||
\(770\) | 82716.6 | + | 242085.i | 0.139512 | + | 0.408307i | ||||
\(771\) | 200185. | + | 193796.i | 0.336762 | + | 0.326013i | ||||
\(772\) | 441050. | − | 341238.i | 0.740037 | − | 0.572563i | ||||
\(773\) | 435529. | 0.728884 | 0.364442 | − | 0.931226i | \(-0.381260\pi\) | ||||
0.364442 | + | 0.931226i | \(0.381260\pi\) | |||||||
\(774\) | −383925. | + | 469446.i | −0.640862 | + | 0.783617i | ||||
\(775\) | − | 223752.i | − | 0.372531i | ||||||
\(776\) | 381456. | − | 190964.i | 0.633463 | − | 0.317124i | ||||
\(777\) | −546117. | − | 136880.i | −0.904573 | − | 0.226724i | ||||
\(778\) | −15531.9 | − | 45457.0i | −0.0256606 | − | 0.0751004i | ||||
\(779\) | −864530. | + | 499136.i | −1.42464 | + | 0.822516i | ||||
\(780\) | 88100.9 | + | 9791.59i | 0.144808 | + | 0.0160940i | ||||
\(781\) | 44560.0 | − | 77180.2i | 0.0730539 | − | 0.126533i | ||||
\(782\) | −120571. | + | 612543.i | −0.197164 | + | 1.00167i | ||||
\(783\) | −161329. | − | 502857.i | −0.263141 | − | 0.820202i | ||||
\(784\) | 74844.3 | + | 73657.4i | 0.121766 | + | 0.119835i | ||||
\(785\) | −223184. | + | 386566.i | −0.362179 | + | 0.627313i | ||||
\(786\) | −2786.70 | − | 33230.1i | −0.00451072 | − | 0.0537881i | ||||
\(787\) | −371945. | + | 214742.i | −0.600522 | + | 0.346711i | −0.769247 | − | 0.638952i | \(-0.779368\pi\) |
0.168725 | + | 0.985663i | \(0.446035\pi\) | |||||||
\(788\) | 66399.9 | + | 489242.i | 0.106934 | + | 0.787900i | ||||
\(789\) | −134189. | − | 33633.3i | −0.215557 | − | 0.0540276i | ||||
\(790\) | −278416. | − | 243182.i | −0.446108 | − | 0.389652i | ||||
\(791\) | − | 113559.i | − | 0.181496i | ||||||
\(792\) | −299394. | − | 183816.i | −0.477301 | − | 0.293043i | ||||
\(793\) | −76497.5 | −0.121647 | ||||||||
\(794\) | 84930.9 | − | 97236.4i | 0.134718 | − | 0.154237i | ||||
\(795\) | 123991. | + | 120034.i | 0.196181 | + | 0.189919i | ||||
\(796\) | −543219. | + | 73725.7i | −0.857332 | + | 0.116357i | ||||
\(797\) | −362714. | − | 628240.i | −0.571016 | − | 0.989028i | −0.996462 | − | 0.0840446i | \(-0.973216\pi\) |
0.425446 | − | 0.904984i | \(-0.360117\pi\) | |||||||
\(798\) | −590951. | − | 850467.i | −0.927994 | − | 1.33552i | ||||
\(799\) | 1.45451e6 | + | 839761.i | 2.27836 | + | 1.31541i | ||||
\(800\) | 102559. | + | 150220.i | 0.160248 | + | 0.234718i | ||||
\(801\) | 556120. | − | 345594.i | 0.866769 | − | 0.538643i | ||||
\(802\) | 736768. | + | 145023.i | 1.14547 | + | 0.225469i | ||||
\(803\) | 555840. | + | 320914.i | 0.862023 | + | 0.497689i | ||||
\(804\) | 7864.21 | + | 5785.69i | 0.0121659 | + | 0.00895041i | ||||
\(805\) | −182817. | − | 316648.i | −0.282114 | − | 0.488635i | ||||
\(806\) | 138767. | − | 47414.6i | 0.213608 | − | 0.0729863i | ||||
\(807\) | −658648. | + | 187984.i | −1.01136 | + | 0.288651i | ||||
\(808\) | 531434. | − | 266046.i | 0.814004 | − | 0.407506i | ||||
\(809\) | 144295. | 0.220473 | 0.110237 | − | 0.993905i | \(-0.464839\pi\) | ||||
0.110237 | + | 0.993905i | \(0.464839\pi\) | |||||||
\(810\) | −337294. | + | 440862.i | −0.514089 | + | 0.671943i | ||||
\(811\) | − | 321928.i | − | 0.489460i | −0.969591 | − | 0.244730i | \(-0.921301\pi\) | ||
0.969591 | − | 0.244730i | \(-0.0786993\pi\) | |||||||
\(812\) | −316464. | − | 409029.i | −0.479968 | − | 0.620358i | ||||
\(813\) | 192852. | + | 675706.i | 0.291771 | + | 1.02230i | ||||
\(814\) | −359648. | + | 122886.i | −0.542787 | + | 0.185462i | ||||
\(815\) | 783456. | − | 452328.i | 1.17950 | − | 0.680987i | ||||
\(816\) | 792329. | − | 483395.i | 1.18994 | − | 0.725975i | ||||
\(817\) | −603397. | + | 1.04511e6i | −0.903980 | + | 1.56574i | ||||
\(818\) | 528044. | + | 103938.i | 0.789156 | + | 0.155334i | ||||
\(819\) | −55518.2 | − | 89338.4i | −0.0827689 | − | 0.133190i | ||||
\(820\) | 484896. | + | 198584.i | 0.721142 | + | 0.295336i | ||||
\(821\) | −453891. | + | 786162.i | −0.673388 | + | 1.16634i | 0.303549 | + | 0.952816i | \(0.401828\pi\) |
−0.976937 | + | 0.213527i | \(0.931505\pi\) | |||||||
\(822\) | −34269.4 | − | 49318.9i | −0.0507181 | − | 0.0729910i | ||||
\(823\) | 730902. | − | 421987.i | 1.07909 | − | 0.623016i | 0.148443 | − | 0.988921i | \(-0.452574\pi\) |
0.930652 | + | 0.365905i | \(0.119241\pi\) | |||||||
\(824\) | 722394. | + | 43001.1i | 1.06395 | + | 0.0633323i | ||||
\(825\) | −75355.7 | + | 77840.3i | −0.110715 | + | 0.114366i | ||||
\(826\) | −530955. | + | 607885.i | −0.778212 | + | 0.890966i | ||||
\(827\) | − | 658309.i | − | 0.962540i | −0.876572 | − | 0.481270i | \(-0.840176\pi\) | ||
0.876572 | − | 0.481270i | \(-0.159824\pi\) | |||||||
\(828\) | 470583. | + | 175127.i | 0.686397 | + | 0.255442i | ||||
\(829\) | 1.22965e6 | 1.78925 | 0.894625 | − | 0.446818i | \(-0.147443\pi\) | ||||
0.894625 | + | 0.446818i | \(0.147443\pi\) | |||||||
\(830\) | −48556.0 | − | 42411.2i | −0.0704834 | − | 0.0615636i | ||||
\(831\) | 10371.4 | − | 41379.4i | 0.0150188 | − | 0.0599215i | ||||
\(832\) | −71430.9 | + | 95438.0i | −0.103190 | + | 0.137872i | ||||
\(833\) | −82621.7 | − | 143105.i | −0.119071 | − | 0.206236i | ||||
\(834\) | 2493.40 | + | 29732.6i | 0.00358476 | + | 0.0427465i | ||||
\(835\) | −202377. | − | 116842.i | −0.290261 | − | 0.167582i | ||||
\(836\) | −646952. | − | 264952.i | −0.925677 | − | 0.379101i | ||||
\(837\) | −194254. | + | 897515.i | −0.277281 | + | 1.28112i | ||||
\(838\) | −65404.3 | + | 332278.i | −0.0931362 | + | 0.473166i | ||||
\(839\) | 45546.9 | + | 26296.5i | 0.0647045 | + | 0.0373572i | 0.532003 | − | 0.846742i | \(-0.321439\pi\) |
−0.467299 | + | 0.884099i | \(0.654773\pi\) | |||||||
\(840\) | −163256. | + | 518495.i | −0.231372 | + | 0.734829i | ||||
\(841\) | 91248.2 | + | 158047.i | 0.129013 | + | 0.223456i | ||||
\(842\) | −149637. | − | 437940.i | −0.211064 | − | 0.617718i | ||||
\(843\) | 94545.8 | − | 377215.i | 0.133042 | − | 0.530804i | ||||
\(844\) | −169465. | − | 219033.i | −0.237900 | − | 0.307486i | ||||
\(845\) | −586183. | −0.820956 | ||||||||
\(846\) | 855166. | − | 1.04566e6i | 1.19484 | − | 1.46100i | ||||
\(847\) | 448337.i | 0.624939i | ||||||||
\(848\) | −223686. | + | 61856.6i | −0.311062 | + | 0.0860191i | ||||
\(849\) | −226081. | + | 233535.i | −0.313653 | + | 0.323994i | ||||
\(850\) | −92544.7 | − | 270849.i | −0.128090 | − | 0.374877i | ||||
\(851\) | 470421. | − | 271598.i | 0.649572 | − | 0.375031i | ||||
\(852\) | 173451. | − | 75988.4i | 0.238944 | − | 0.104681i | ||||
\(853\) | 322258. | − | 558168.i | 0.442900 | − | 0.767126i | −0.555003 | − | 0.831848i | \(-0.687283\pi\) |
0.997903 | + | 0.0647226i | \(0.0206163\pi\) | |||||||
\(854\) | 90598.9 | − | 460276.i | 0.124224 | − | 0.631106i | ||||
\(855\) | −520988. | + | 974019.i | −0.712681 | + | 1.33240i | ||||
\(856\) | −220639. | + | 334534.i | −0.301117 | + | 0.456555i | ||||
\(857\) | −175819. | + | 304528.i | −0.239390 | + | 0.414635i | −0.960539 | − | 0.278144i | \(-0.910281\pi\) |
0.721150 | + | 0.692779i | \(0.243614\pi\) | |||||||
\(858\) | −64243.8 | − | 30239.5i | −0.0872683 | − | 0.0410771i | ||||
\(859\) | −658817. | + | 380368.i | −0.892851 | + | 0.515487i | −0.874874 | − | 0.484351i | \(-0.839056\pi\) |
−0.0179767 | + | 0.999838i | \(0.505722\pi\) | |||||||
\(860\) | 627681. | − | 85188.9i | 0.848676 | − | 0.115182i | ||||
\(861\) | −170641. | − | 597883.i | −0.230184 | − | 0.806510i | ||||
\(862\) | 888412. | + | 775981.i | 1.19564 | + | 1.04433i | ||||
\(863\) | 363360.i | 0.487883i | 0.969790 | + | 0.243942i | \(0.0784406\pi\) | ||||
−0.969790 | + | 0.243942i | \(0.921559\pi\) | |||||||
\(864\) | −280970. | − | 691601.i | −0.376385 | − | 0.926463i | ||||
\(865\) | −463964. | −0.620086 | ||||||||
\(866\) | −398084. | + | 455761.i | −0.530809 | + | 0.607717i | ||||
\(867\) | −681622. | + | 194541.i | −0.906788 | + | 0.258805i | ||||
\(868\) | 120940. | + | 891100.i | 0.160521 | + | 1.18273i | ||||
\(869\) | 148054. | + | 256438.i | 0.196057 | + | 0.339580i | ||||
\(870\) | −234917. | + | 499080.i | −0.310367 | + | 0.659374i | ||||
\(871\) | 1708.87 | + | 986.617i | 0.00225254 | + | 0.00130051i | ||||
\(872\) | −184473. | − | 121668.i | −0.242605 | − | 0.160008i | ||||
\(873\) | 17508.2 | + | 539615.i | 0.0229727 | + | 0.708036i | ||||
\(874\) | 980365. | + | 192971.i | 1.28341 | + | 0.252621i | ||||
\(875\) | 655985. | + | 378733.i | 0.856796 | + | 0.494672i | ||||
\(876\) | 547257. | + | 1.24917e6i | 0.713154 | + | 1.62784i | ||||
\(877\) | −36035.0 | − | 62414.4i | −0.0468516 | − | 0.0811494i | 0.841649 | − | 0.540026i | \(-0.181585\pi\) |
−0.888500 | + | 0.458876i | \(0.848252\pi\) | |||||||
\(878\) | 75756.3 | − | 25884.7i | 0.0982720 | − | 0.0335780i | ||||
\(879\) | −621371. | − | 601537.i | −0.804216 | − | 0.778546i | ||||
\(880\) | 97804.3 | + | 353680.i | 0.126297 | + | 0.456714i | ||||
\(881\) | 1.34754e6 | 1.73616 | 0.868082 | − | 0.496422i | \(-0.165353\pi\) | ||||
0.868082 | + | 0.496422i | \(0.165353\pi\) | |||||||
\(882\) | −124305. | + | 47027.5i | −0.159790 | + | 0.0604525i | ||||
\(883\) | − | 675925.i | − | 0.866916i | −0.901174 | − | 0.433458i | \(-0.857293\pi\) | ||
0.901174 | − | 0.433458i | \(-0.142707\pi\) | |||||||
\(884\) | 148365. | − | 114790.i | 0.189858 | − | 0.146892i | ||||
\(885\) | 835043. | + | 209296.i | 1.06616 | + | 0.267224i | ||||
\(886\) | −146273. | + | 49979.2i | −0.186336 | + | 0.0636681i | ||||
\(887\) | 888008. | − | 512692.i | 1.12868 | − | 0.651642i | 0.185075 | − | 0.982724i | \(-0.440747\pi\) |
0.943602 | + | 0.331082i | \(0.107414\pi\) | |||||||
\(888\) | −770291. | − | 242538.i | −0.976853 | − | 0.307577i | ||||
\(889\) | 11825.2 | − | 20481.9i | 0.0149626 | − | 0.0259159i | ||||
\(890\) | −671018. | − | 132081.i | −0.847138 | − | 0.166747i | ||||
\(891\) | 369846. | − | 246813.i | 0.465871 | − | 0.310894i | ||||
\(892\) | −388498. | + | 948622.i | −0.488269 | + | 1.19224i | ||||
\(893\) | 1.34402e6 | − | 2.32792e6i | 1.68540 | − | 2.91921i | ||||
\(894\) | 112026. | − | 9394.59i | 0.140166 | − | 0.0117545i | ||||
\(895\) | −210269. | + | 121399.i | −0.262500 | + | 0.151555i | ||||
\(896\) | −489640. | − | 542821.i | −0.609904 | − | 0.676147i | ||||
\(897\) | 98437.0 | + | 24672.4i | 0.122341 | + | 0.0306638i | ||||
\(898\) | 209083. | − | 239377.i | 0.259278 | − | 0.296845i | ||||
\(899\) | 912528.i | 1.12908i | ||||||||
\(900\) | −226990. | + | 38340.8i | −0.280235 | + | 0.0473343i | ||||
\(901\) | 365202. | 0.449867 | ||||||||
\(902\) | −316115. | − | 276110.i | −0.388537 | − | 0.339367i | ||||
\(903\) | −540032. | − | 522795.i | −0.662284 | − | 0.641144i | ||||
\(904\) | 9678.86 | − | 162599.i | 0.0118437 | − | 0.198967i | ||||
\(905\) | −480895. | − | 832935.i | −0.587156 | − | 1.01698i | ||||
\(906\) | 270789. | − | 188159.i | 0.329894 | − | 0.229228i | ||||
\(907\) | −1.39930e6 | − | 807885.i | −1.70097 | − | 0.982053i | −0.944785 | − | 0.327690i | \(-0.893730\pi\) |
−0.756181 | − | 0.654363i | \(-0.772937\pi\) | |||||||
\(908\) | −83027.1 | + | 202733.i | −0.100704 | + | 0.245896i | ||||
\(909\) | 24391.9 | + | 751776.i | 0.0295201 | + | 0.909831i | ||||
\(910\) | −21218.2 | + | 107796.i | −0.0256227 | + | 0.130173i | ||||
\(911\) | 246841. | + | 142514.i | 0.297427 | + | 0.171719i | 0.641286 | − | 0.767302i | \(-0.278401\pi\) |
−0.343860 | + | 0.939021i | \(0.611734\pi\) | |||||||
\(912\) | −773665. | − | 1.26811e6i | −0.930173 | − | 1.52464i | ||||
\(913\) | 25820.8 | + | 44723.0i | 0.0309762 | + | 0.0536524i | ||||
\(914\) | −340858. | − | 997583.i | −0.408020 | − | 1.19414i | ||||
\(915\) | −481139. | + | 137321.i | −0.574683 | + | 0.164019i | ||||
\(916\) | −835108. | + | 646119.i | −0.995295 | + | 0.770055i | ||||
\(917\) | 41330.0 | 0.0491503 | ||||||||
\(918\) | 136074. | + | 1.16678e6i | 0.161469 | + | 1.38453i | ||||
\(919\) | − | 662333.i | − | 0.784233i | −0.919916 | − | 0.392117i | \(-0.871743\pi\) | ||
0.919916 | − | 0.392117i | \(-0.128257\pi\) | |||||||
\(920\) | −234777. | − | 468974.i | −0.277384 | − | 0.554081i | ||||
\(921\) | −347389. | − | 1.21717e6i | −0.409541 | − | 1.43493i | ||||
\(922\) | −259453. | − | 759336.i | −0.305209 | − | 0.893249i | ||||
\(923\) | 33145.1 | − | 19136.3i | 0.0389059 | − | 0.0224623i | ||||
\(924\) | 258034. | − | 350733.i | 0.302226 | − | 0.410802i | ||||
\(925\) | −124520. | + | 215675.i | −0.145531 | + | 0.252067i | ||||
\(926\) | 183131. | − | 930373.i | 0.213570 | − | 1.08501i | ||||
\(927\) | −431986. | + | 807624.i | −0.502702 | + | 0.939832i | ||||
\(928\) | −418267. | − | 612641.i | −0.485688 | − | 0.711394i | ||||
\(929\) | −620275. | + | 1.07435e6i | −0.718708 | + | 1.24484i | 0.242803 | + | 0.970076i | \(0.421933\pi\) |
−0.961512 | + | 0.274764i | \(0.911400\pi\) | |||||||
\(930\) | 787677. | − | 547320.i | 0.910714 | − | 0.632813i | ||||
\(931\) | −229037. | + | 132235.i | −0.264245 | + | 0.152562i | ||||
\(932\) | 136300. | + | 1.00427e6i | 0.156914 | + | 1.15616i | ||||
\(933\) | 1.02327e6 | − | 1.05701e6i | 1.17551 | − | 1.21427i | ||||
\(934\) | −694300. | − | 606435.i | −0.795891 | − | 0.695169i | ||||
\(935\) | − | 577438.i | − | 0.660514i | ||||||
\(936\) | −71879.2 | − | 132651.i | −0.0820449 | − | 0.151412i | ||||
\(937\) | −593717. | −0.676239 | −0.338119 | − | 0.941103i | \(-0.609791\pi\) | ||||
−0.338119 | + | 0.941103i | \(0.609791\pi\) | |||||||
\(938\) | −7960.23 | + | 9113.57i | −0.00904732 | + | 0.0103582i | ||||
\(939\) | −112228. | + | 447762.i | −0.127283 | + | 0.507828i | ||||
\(940\) | −1.39812e6 | + | 189752.i | −1.58229 | + | 0.214749i | ||||
\(941\) | 613509. | + | 1.06263e6i | 0.692854 | + | 1.20006i | 0.970899 | + | 0.239491i | \(0.0769804\pi\) |
−0.278044 | + | 0.960568i | \(0.589686\pi\) | |||||||
\(942\) | 757075. | − | 63488.9i | 0.853173 | − | 0.0715478i | ||||
\(943\) | 519507. | + | 299938.i | 0.584209 | + | 0.337293i | ||||
\(944\) | −812060. | + | 825145.i | −0.911264 | + | 0.925947i | ||||
\(945\) | −509559. | − | 462242.i | −0.570599 | − | 0.517614i | ||||
\(946\) | −497840. | − | 97992.9i | −0.556298 | − | 0.109500i | ||||
\(947\) | 1.48474e6 | + | 857213.i | 1.65558 | + | 0.955848i | 0.974720 | + | 0.223431i | \(0.0717258\pi\) |
0.680857 | + | 0.732416i | \(0.261607\pi\) | |||||||
\(948\) | −69500.0 | + | 625333.i | −0.0773335 | + | 0.695817i | ||||
\(949\) | 137817. | + | 238706.i | 0.153027 | + | 0.265051i | ||||
\(950\) | −433489. | + | 148116.i | −0.480320 | + | 0.164118i | ||||
\(951\) | −61375.9 | + | 244875.i | −0.0678636 | + | 0.270760i | ||||
\(952\) | 514960. | + | 1.02865e6i | 0.568198 | + | 1.13499i | ||||
\(953\) | −1.23751e6 | −1.36258 | −0.681290 | − | 0.732014i | \(-0.738581\pi\) | ||||
−0.681290 | + | 0.732014i | \(0.738581\pi\) | |||||||
\(954\) | 47352.0 | − | 289885.i | 0.0520285 | − | 0.318515i | ||||
\(955\) | − | 1.48144e6i | − | 1.62434i | ||||||
\(956\) | 3109.09 | + | 4018.50i | 0.00340187 | + | 0.00439691i | ||||
\(957\) | 307324. | − | 317457.i | 0.335562 | − | 0.346626i | ||||
\(958\) | −9089.93 | + | 3105.89i | −0.00990443 | + | 0.00338419i | ||||
\(959\) | 64461.5 | − | 37216.8i | 0.0700911 | − | 0.0404671i | ||||
\(960\) | −277951. | + | 728493.i | −0.301596 | + | 0.790466i | ||||
\(961\) | 331619. | − | 574381.i | 0.359081 | − | 0.621947i | ||||
\(962\) | −160145. | − | 31522.3i | −0.173047 | − | 0.0340619i | ||||
\(963\) | −267706. | − | 430785.i | −0.288672 | − | 0.464523i | ||||
\(964\) | 377642. | + | 154659.i | 0.406374 | + | 0.166426i | ||||
\(965\) | 368589. | − | 638416.i | 0.395811 | − | 0.685565i | ||||
\(966\) | −265033. | + | 563063.i | −0.284018 | + | 0.603396i | ||||
\(967\) | 858506. | − | 495659.i | 0.918101 | − | 0.530066i | 0.0350720 | − | 0.999385i | \(-0.488834\pi\) |
0.883029 | + | 0.469319i | \(0.155501\pi\) | |||||||
\(968\) | −38212.7 | + | 641952.i | −0.0407809 | + | 0.685096i | ||||
\(969\) | 641539. | + | 2.24780e6i | 0.683244 | + | 2.39392i | ||||
\(970\) | 370974. | − | 424724.i | 0.394276 | − | 0.451402i | ||||
\(971\) | 1.45182e6i | 1.53984i | 0.638141 | + | 0.769920i | \(0.279704\pi\) | ||||
−0.638141 | + | 0.769920i | \(0.720296\pi\) | |||||||
\(972\) | 943792. | + | 43272.7i | 0.998951 | + | 0.0458017i | ||||
\(973\) | −36980.0 | −0.0390608 | ||||||||
\(974\) | −1.22080e6 | − | 1.06630e6i | −1.28684 | − | 1.12399i | ||||
\(975\) | −44740.1 | + | 12769.2i | −0.0470639 | + | 0.0134324i | ||||
\(976\) | 168954. | − | 651324.i | 0.177366 | − | 0.683750i | ||||
\(977\) | −306090. | − | 530163.i | −0.320671 | − | 0.555418i | 0.659956 | − | 0.751304i | \(-0.270575\pi\) |
−0.980627 | + | 0.195886i | \(0.937242\pi\) | |||||||
\(978\) | −1.39314e6 | − | 655750.i | −1.45652 | − | 0.685584i | ||||
\(979\) | 474418. | + | 273905.i | 0.494989 | + | 0.285782i | ||||
\(980\) | 128462. | + | 52610.3i | 0.133759 | + | 0.0547796i | ||||
\(981\) | 237549. | − | 147621.i | 0.246839 | − | 0.153395i | ||||
\(982\) | −99305.1 | + | 504507.i | −0.102979 | + | 0.523171i | ||||
\(983\) | −1.04512e6 | − | 603401.i | −1.08158 | − | 0.624452i | −0.150259 | − | 0.988647i | \(-0.548011\pi\) |
−0.931323 | + | 0.364195i | \(0.881344\pi\) | |||||||
\(984\) | −193373. | − | 870623.i | −0.199713 | − | 0.899166i | ||||
\(985\) | 326341. | + | 565239.i | 0.336356 | + | 0.582586i | ||||
\(986\) | 377426. | + | 1.10460e6i | 0.388220 | + | 1.13620i | ||||
\(987\) | 1.20288e6 | + | 1.16449e6i | 1.23478 | + | 1.19537i | ||||
\(988\) | −183719. | − | 237456.i | −0.188209 | − | 0.243260i | ||||
\(989\) | 725178. | 0.741399 | ||||||||
\(990\) | −458351. | − | 74870.3i | −0.467657 | − | 0.0763905i | ||||
\(991\) | 860509.i | 0.876210i | 0.898924 | + | 0.438105i | \(0.144350\pi\) | ||||
−0.898924 | + | 0.438105i | \(0.855650\pi\) | |||||||
\(992\) | 97217.8 | + | 1.28623e6i | 0.0987921 | + | 1.30706i | ||||
\(993\) | −984642. | − | 246792.i | −0.998573 | − | 0.250284i | ||||
\(994\) | 75885.8 | + | 222093.i | 0.0768047 | + | 0.224783i | ||||
\(995\) | −627601. | + | 362346.i | −0.633924 | + | 0.365996i | ||||
\(996\) | −12120.9 | + | 109059.i | −0.0122184 | + | 0.109936i | ||||
\(997\) | 243483. | − | 421725.i | 0.244951 | − | 0.424267i | −0.717167 | − | 0.696901i | \(-0.754562\pi\) |
0.962118 | + | 0.272634i | \(0.0878949\pi\) | |||||||
\(998\) | 99351.8 | − | 504744.i | 0.0997504 | − | 0.506769i | ||||
\(999\) | 686720. | − | 757015.i | 0.688095 | − | 0.758531i |
(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 | 36.5.f.a.7.17 | yes | 44 | |
3.2 | odd | 2 | 108.5.f.a.19.6 | 44 | |||
4.3 | odd | 2 | inner | 36.5.f.a.7.14 | ✓ | 44 | |
9.2 | odd | 6 | 324.5.d.e.163.22 | 22 | |||
9.4 | even | 3 | inner | 36.5.f.a.31.14 | yes | 44 | |
9.5 | odd | 6 | 108.5.f.a.91.9 | 44 | |||
9.7 | even | 3 | 324.5.d.f.163.1 | 22 | |||
12.11 | even | 2 | 108.5.f.a.19.9 | 44 | |||
36.7 | odd | 6 | 324.5.d.f.163.2 | 22 | |||
36.11 | even | 6 | 324.5.d.e.163.21 | 22 | |||
36.23 | even | 6 | 108.5.f.a.91.6 | 44 | |||
36.31 | odd | 6 | inner | 36.5.f.a.31.17 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
36.5.f.a.7.14 | ✓ | 44 | 4.3 | odd | 2 | inner | |
36.5.f.a.7.17 | yes | 44 | 1.1 | even | 1 | trivial | |
36.5.f.a.31.14 | yes | 44 | 9.4 | even | 3 | inner | |
36.5.f.a.31.17 | yes | 44 | 36.31 | odd | 6 | inner | |
108.5.f.a.19.6 | 44 | 3.2 | odd | 2 | |||
108.5.f.a.19.9 | 44 | 12.11 | even | 2 | |||
108.5.f.a.91.6 | 44 | 36.23 | even | 6 | |||
108.5.f.a.91.9 | 44 | 9.5 | odd | 6 | |||
324.5.d.e.163.21 | 22 | 36.11 | even | 6 | |||
324.5.d.e.163.22 | 22 | 9.2 | odd | 6 | |||
324.5.d.f.163.1 | 22 | 9.7 | even | 3 | |||
324.5.d.f.163.2 | 22 | 36.7 | odd | 6 |